LMFDB - Embedded newform 192.2.s.a.59.13

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [192,2,Mod(11,192)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(192, base_ring=CyclotomicField(16))

chi = DirichletCharacter(H, H._module([8, 5, 8]))

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

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

chi := DirichletCharacter("192.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 192 = 2^{6} \cdot 3 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	192.s (of order $16$, degree $8$, 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:	$1.53312771881$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$30$ over $\Q(\zeta_{16})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			59.13
Character	$\chi$	$=$	192.59
Dual form			192.2.s.a.179.13

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.306460 + 1.38061i) q^{2} +(-1.12690 - 1.31533i) q^{3} +(-1.81216 - 0.846204i) q^{4} +(-0.193910 + 0.974852i) q^{5} +(2.16130 - 1.15272i) q^{6} +(3.70761 + 1.53574i) q^{7} +(1.72363 - 2.24256i) q^{8} +(-0.460173 + 2.96450i) q^{9} +O(q^{10})$	\(q+(-0.306460 + 1.38061i) q^{2} +(-1.12690 - 1.31533i) q^{3} +(-1.81216 - 0.846204i) q^{4} +(-0.193910 + 0.974852i) q^{5} +(2.16130 - 1.15272i) q^{6} +(3.70761 + 1.53574i) q^{7} +(1.72363 - 2.24256i) q^{8} +(-0.460173 + 2.96450i) q^{9} +(-1.28646 - 0.566468i) q^{10} +(2.91108 + 4.35674i) q^{11} +(0.929101 + 3.33718i) q^{12} +(-4.94964 + 0.984544i) q^{13} +(-3.25650 + 4.64812i) q^{14} +(1.50077 - 0.843510i) q^{15} +(2.56788 + 3.06692i) q^{16} +(0.683765 + 0.683765i) q^{17} +(-3.95179 - 1.54382i) q^{18} +(2.19880 - 0.437368i) q^{19} +(1.17632 - 1.60251i) q^{20} +(-2.15812 - 6.60736i) q^{21} +(-6.90709 + 2.68390i) q^{22} +(5.93261 - 2.45737i) q^{23} +(-4.89207 + 0.260013i) q^{24} +(3.70666 + 1.53535i) q^{25} +(0.157596 - 7.13524i) q^{26} +(4.41786 - 2.73543i) q^{27} +(-5.41925 - 5.92041i) q^{28} +(-3.04078 - 2.03178i) q^{29} +(0.704632 + 2.33048i) q^{30} -6.01645 q^{31} +(-5.02117 + 2.60535i) q^{32} +(2.45003 - 8.73866i) q^{33} +(-1.15356 + 0.734465i) q^{34} +(-2.21607 + 3.31658i) q^{35} +(3.34248 - 4.98275i) q^{36} +(-1.17177 + 5.89086i) q^{37} +(-0.0700094 + 3.16971i) q^{38} +(6.87277 + 5.40091i) q^{39} +(1.85194 + 2.11514i) q^{40} +(-2.28094 - 5.50667i) q^{41} +(9.78356 - 0.954626i) q^{42} +(-4.39265 - 6.57407i) q^{43} +(-1.58867 - 10.3585i) q^{44} +(-2.80071 - 1.02345i) q^{45} +(1.57456 + 8.94371i) q^{46} +(-0.410028 + 0.410028i) q^{47} +(1.14025 - 6.83373i) q^{48} +(6.43813 + 6.43813i) q^{49} +(-3.25566 + 4.64693i) q^{50} +(0.128837 - 1.66991i) q^{51} +(9.80268 + 2.40425i) q^{52} +(3.47118 - 2.31937i) q^{53} +(2.42266 + 6.93763i) q^{54} +(-4.81167 + 1.99306i) q^{55} +(9.83456 - 5.66750i) q^{56} +(-3.05311 - 2.39927i) q^{57} +(3.73697 - 3.57546i) q^{58} +(-0.669452 - 0.133162i) q^{59} +(-3.43342 + 0.258623i) q^{60} +(-1.32504 - 0.885363i) q^{61} +(1.84380 - 8.30637i) q^{62} +(-6.25885 + 10.2845i) q^{63} +(-2.05818 - 7.73071i) q^{64} -5.01608i q^{65} +(11.3138 + 6.06059i) q^{66} +(5.83232 - 8.72868i) q^{67} +(-0.660490 - 1.81770i) q^{68} +(-9.91773 - 5.03411i) q^{69} +(-3.89976 - 4.07592i) q^{70} +(-2.48885 + 6.00860i) q^{71} +(5.85490 + 6.14167i) q^{72} +(-0.0562858 - 0.135886i) q^{73} +(-7.77388 - 3.42306i) q^{74} +(-2.15757 - 6.60567i) q^{75} +(-4.35468 - 1.06805i) q^{76} +(4.10233 + 20.6238i) q^{77} +(-9.56278 + 7.83344i) q^{78} +(0.732784 - 0.732784i) q^{79} +(-3.48773 + 1.90860i) q^{80} +(-8.57648 - 2.72836i) q^{81} +(8.30157 - 1.46151i) q^{82} +(1.38633 + 6.96953i) q^{83} +(-1.68031 + 13.7998i) q^{84} +(-0.799159 + 0.533981i) q^{85} +(10.4224 - 4.04985i) q^{86} +(0.754205 + 6.28924i) q^{87} +(14.7879 + 0.981137i) q^{88} +(-3.52518 + 8.51054i) q^{89} +(2.27129 - 3.55305i) q^{90} +(-19.8633 - 3.95106i) q^{91} +(-12.8303 - 0.567042i) q^{92} +(6.77997 + 7.91361i) q^{93} +(-0.440431 - 0.691746i) q^{94} +2.22831i q^{95} +(9.08527 + 3.66850i) q^{96} -7.20955i q^{97} +(-10.8616 + 6.91551i) q^{98} +(-14.2552 + 6.62504i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9}+O(q^{10}) $ 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9	$ 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9} - 16 q^{10} - 8 q^{12} - 16 q^{13} - 8 q^{15} - 16 q^{16} - 8 q^{18} - 16 q^{19} - 8 q^{21} - 16 q^{22} - 48 q^{24} - 16 q^{25} - 8 q^{27} - 16 q^{28} - 88 q^{30} - 32 q^{31} - 16 q^{34} - 88 q^{36} - 16 q^{37} - 8 q^{39} - 16 q^{40} - 48 q^{42} - 16 q^{43} - 8 q^{45} - 16 q^{46} - 8 q^{48} - 16 q^{49} - 8 q^{51} + 32 q^{52} - 8 q^{54} - 80 q^{55} - 8 q^{57} + 128 q^{58} - 8 q^{60} - 16 q^{61} + 80 q^{64} - 24 q^{66} - 144 q^{67} - 8 q^{69} + 80 q^{70} - 8 q^{72} - 16 q^{73} - 8 q^{75} + 96 q^{76} + 16 q^{78} - 48 q^{79} - 8 q^{81} + 64 q^{82} + 104 q^{84} - 16 q^{85} - 8 q^{87} + 64 q^{88} + 136 q^{90} - 16 q^{91} - 32 q^{93} + 80 q^{94} + 128 q^{96} - 8 q^{99}+O(q^{100}) $ 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9 - 16 * q^10 - 8 * q^12 - 16 * q^13 - 8 * q^15 - 16 * q^16 - 8 * q^18 - 16 * q^19 - 8 * q^21 - 16 * q^22 - 48 * q^24 - 16 * q^25 - 8 * q^27 - 16 * q^28 - 88 * q^30 - 32 * q^31 - 16 * q^34 - 88 * q^36 - 16 * q^37 - 8 * q^39 - 16 * q^40 - 48 * q^42 - 16 * q^43 - 8 * q^45 - 16 * q^46 - 8 * q^48 - 16 * q^49 - 8 * q^51 + 32 * q^52 - 8 * q^54 - 80 * q^55 - 8 * q^57 + 128 * q^58 - 8 * q^60 - 16 * q^61 + 80 * q^64 - 24 * q^66 - 144 * q^67 - 8 * q^69 + 80 * q^70 - 8 * q^72 - 16 * q^73 - 8 * q^75 + 96 * q^76 + 16 * q^78 - 48 * q^79 - 8 * q^81 + 64 * q^82 + 104 * q^84 - 16 * q^85 - 8 * q^87 + 64 * q^88 + 136 * q^90 - 16 * q^91 - 32 * q^93 + 80 * q^94 + 128 * q^96 - 8 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/192\mathbb{Z}\right)^\times$.

$n$	$65$	$127$	$133$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{1}{16}\right)$

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 $

$2$	−0.306460	+	1.38061i	−0.216700	+	0.976238i
$2$	−0.306460	+	1.38061i	−0.216700	+	0.976238i
$3$	−1.12690	−	1.31533i	−0.650619	−	0.759405i
$3$	−1.12690	−	1.31533i	−0.650619	−	0.759405i
$4$	−1.81216	−	0.846204i	−0.906082	−	0.423102i
$5$	−0.193910	+	0.974852i	−0.0867193	+	0.435967i	0.912895	+	0.408194i	$0.133841\pi$
$5$	−0.193910	+	0.974852i	−0.0867193	+	0.435967i	−0.999614	+	0.0277727i	$0.991159\pi$
$6$	2.16130	−	1.15272i	0.882349	−	0.470596i
$7$	3.70761	+	1.53574i	1.40135	+	0.580456i	0.950100	−	0.311944i	$-0.100980\pi$
$7$	3.70761	+	1.53574i	1.40135	+	0.580456i	0.451245	+	0.892400i	$0.350980\pi$
$8$	1.72363	−	2.24256i	0.609396	−	0.792866i
$9$	−0.460173	+	2.96450i	−0.153391	+	0.988166i
$10$	−1.28646	−	0.566468i	−0.406816	−	0.179133i
$11$	2.91108	+	4.35674i	0.877724	+	1.31361i	0.948716	+	0.316130i	$0.102384\pi$
$11$	2.91108	+	4.35674i	0.877724	+	1.31361i	−0.0709914	+	0.997477i	$0.522616\pi$
$12$	0.929101	+	3.33718i	0.268208	+	0.963361i
$13$	−4.94964	+	0.984544i	−1.37278	+	0.273063i	−0.825745	−	0.564044i	$-0.809245\pi$
$13$	−4.94964	+	0.984544i	−1.37278	+	0.273063i	−0.547038	+	0.837108i	$0.684245\pi$
$14$	−3.25650	+	4.64812i	−0.870335	+	1.24226i
$15$	1.50077	−	0.843510i	0.387497	−	0.217793i
$16$	2.56788	+	3.06692i	0.641970	+	0.766730i
$17$	0.683765	+	0.683765i	0.165837	+	0.165837i	0.785147	−	0.619310i	$-0.212587\pi$
$17$	0.683765	+	0.683765i	0.165837	+	0.165837i	−0.619310	+	0.785147i	$0.712587\pi$
$18$	−3.95179	−	1.54382i	−0.931445	−	0.363882i
$19$	2.19880	−	0.437368i	0.504438	−	0.100339i	0.0636900	−	0.997970i	$-0.479713\pi$
$19$	2.19880	−	0.437368i	0.504438	−	0.100339i	0.440748	+	0.897631i	$0.354713\pi$
$20$	1.17632	−	1.60251i	0.263033	−	0.358331i
$21$	−2.15812	−	6.60736i	−0.470940	−	1.44184i
$22$	−6.90709	+	2.68390i	−1.47260	+	0.572209i
$23$	5.93261	−	2.45737i	1.23704	−	0.512397i	0.334248	−	0.942485i	$-0.391518\pi$
$23$	5.93261	−	2.45737i	1.23704	−	0.512397i	0.902787	+	0.430088i	$0.141518\pi$
$24$	−4.89207	+	0.260013i	−0.998591	+	0.0530749i
$25$	3.70666	+	1.53535i	0.741332	+	0.307070i
$26$	0.157596	−	7.13524i	0.0309071	−	1.39934i
$27$	4.41786	−	2.73543i	0.850217	−	0.526433i
$28$	−5.41925	−	5.92041i	−1.02414	−	1.11885i
$29$	−3.04078	−	2.03178i	−0.564658	−	0.377292i	0.240233	−	0.970715i	$-0.422776\pi$
$29$	−3.04078	−	2.03178i	−0.564658	−	0.377292i	−0.804891	+	0.593423i	$0.797776\pi$
$30$	0.704632	+	2.33048i	0.128648	+	0.425485i
$31$	−6.01645			−1.08059			−0.540294	−	0.841477i	$-0.681687\pi$
$31$	−6.01645			−1.08059			−0.540294	+	0.841477i	$0.681687\pi$
$32$	−5.02117	+	2.60535i	−0.887626	+	0.460565i
$33$	2.45003	−	8.73866i	0.426496	−	1.52121i
$34$	−1.15356	+	0.734465i	−0.197834	+	0.125960i
$35$	−2.21607	+	3.31658i	−0.374584	+	0.560604i
$36$	3.34248	−	4.98275i	0.557080	−	0.830459i
$37$	−1.17177	+	5.89086i	−0.192637	+	0.968452i	0.756597	+	0.653881i	$0.226860\pi$
$37$	−1.17177	+	5.89086i	−0.192637	+	0.968452i	−0.949234	+	0.314570i	$0.898140\pi$
$38$	−0.0700094	+	3.16971i	−0.0113570	+	0.514195i
$39$	6.87277	+	5.40091i	1.10052	+	0.864838i
$40$	1.85194	+	2.11514i	0.292817	+	0.334433i
$41$	−2.28094	−	5.50667i	−0.356222	−	0.859997i	−0.995824	−	0.0912906i	$-0.970901\pi$
$41$	−2.28094	−	5.50667i	−0.356222	−	0.859997i	0.639602	−	0.768706i	$-0.279099\pi$
$42$	9.78356	−	0.954626i	1.50964	−	0.147302i
$43$	−4.39265	−	6.57407i	−0.669873	−	1.00254i	−0.998316	−	0.0580124i	$-0.981524\pi$
$43$	−4.39265	−	6.57407i	−0.669873	−	1.00254i	0.328442	−	0.944524i	$-0.393476\pi$
$44$	−1.58867	−	10.3585i	−0.239501	−	1.56160i
$45$	−2.80071	−	1.02345i	−0.417506	−	0.152566i
$46$	1.57456	+	8.94371i	0.232156	+	1.31868i
$47$	−0.410028	+	0.410028i	−0.0598087	+	0.0598087i	−0.736379	−	0.676570i	$-0.763466\pi$
$47$	−0.410028	+	0.410028i	−0.0598087	+	0.0598087i	0.676570	+	0.736379i	$0.263466\pi$
$48$	1.14025	−	6.83373i	0.164581	−	0.986364i
$49$	6.43813	+	6.43813i	0.919732	+	0.919732i
$50$	−3.25566	+	4.64693i	−0.460420	+	0.657175i
$51$	0.128837	−	1.66991i	0.0180408	−	0.233834i
$52$	9.80268	+	2.40425i	1.35939	+	0.333409i
$53$	3.47118	−	2.31937i	0.476803	−	0.318590i	−0.293842	−	0.955854i	$-0.594934\pi$
$53$	3.47118	−	2.31937i	0.476803	−	0.318590i	0.770645	+	0.637264i	$0.219934\pi$
$54$	2.42266	+	6.93763i	0.329682	+	0.944092i
$55$	−4.81167	+	1.99306i	−0.648805	+	0.268744i
$56$	9.83456	−	5.66750i	1.31420	−	0.757351i
$57$	−3.05311	−	2.39927i	−0.404395	−	0.317790i
$58$	3.73697	−	3.57546i	0.490689	−	0.469482i
$59$	−0.669452	−	0.133162i	−0.0871552	−	0.0173363i	0.151320	−	0.988485i	$-0.451648\pi$
$59$	−0.669452	−	0.133162i	−0.0871552	−	0.0173363i	−0.238475	+	0.971149i	$0.576648\pi$
$60$	−3.43342	+	0.258623i	−0.443253	+	0.0333881i
$61$	−1.32504	−	0.885363i	−0.169654	−	0.113359i	0.467845	−	0.883811i	$-0.345031\pi$
$61$	−1.32504	−	0.885363i	−0.169654	−	0.113359i	−0.637498	+	0.770452i	$0.720031\pi$
$62$	1.84380	−	8.30637i	0.234163	−	1.05491i
$63$	−6.25885	+	10.2845i	−0.788541	+	1.29572i
$64$	−2.05818	−	7.73071i	−0.257273	−	0.966339i
$65$		−	5.01608i		−	0.622168i
$66$	11.3138	+	6.06059i	1.39264	+	0.746007i
$67$	5.83232	−	8.72868i	0.712531	−	1.06638i	−0.281740	−	0.959491i	$-0.590912\pi$
$67$	5.83232	−	8.72868i	0.712531	−	1.06638i	0.994271	−	0.106887i	$-0.0340884\pi$
$68$	−0.660490	−	1.81770i	−0.0800962	−	0.220428i
$69$	−9.91773	−	5.03411i	−1.19395	−	0.606036i
$70$	−3.89976	−	4.07592i	−0.466111	−	0.487166i
$71$	−2.48885	+	6.00860i	−0.295372	+	0.713090i	0.704622	+	0.709583i	$0.251116\pi$
$71$	−2.48885	+	6.00860i	−0.295372	+	0.713090i	−0.999994	+	0.00350749i	$0.998884\pi$
$72$	5.85490	+	6.14167i	0.690007	+	0.723803i
$73$	−0.0562858	−	0.135886i	−0.00658776	−	0.0159043i	0.920551	−	0.390621i	$-0.127740\pi$
$73$	−0.0562858	−	0.135886i	−0.00658776	−	0.0159043i	−0.927139	+	0.374717i	$0.877740\pi$
$74$	−7.77388	−	3.42306i	−0.903695	−	0.397923i
$75$	−2.15757	−	6.60567i	−0.249134	−	0.762757i
$76$	−4.35468	−	1.06805i	−0.499516	−	0.122513i
$77$	4.10233	+	20.6238i	0.467503	+	2.35030i
$78$	−9.56278	+	7.83344i	−1.08277	+	0.886963i
$79$	0.732784	−	0.732784i	0.0824446	−	0.0824446i	−0.664682	−	0.747127i	$-0.731433\pi$
$79$	0.732784	−	0.732784i	0.0824446	−	0.0824446i	0.747127	+	0.664682i	$0.231433\pi$
$80$	−3.48773	+	1.90860i	−0.389940	+	0.213388i
$81$	−8.57648	−	2.72836i	−0.952942	−	0.303152i
$82$	8.30157	−	1.46151i	0.916755	−	0.161397i
$83$	1.38633	+	6.96953i	0.152169	+	0.765006i	0.979208	+	0.202860i	$0.0650238\pi$
$83$	1.38633	+	6.96953i	0.152169	+	0.765006i	−0.827039	+	0.562145i	$0.809976\pi$
$84$	−1.68031	+	13.7998i	−0.183336	+	1.50568i
$85$	−0.799159	+	0.533981i	−0.0866809	+	0.0579183i
$86$	10.4224	−	4.04985i	1.12388	−	0.436706i
$87$	0.754205	+	6.28924i	0.0808593	+	0.674277i
$88$	14.7879	+	0.981137i	1.57640	+	0.104590i
$89$	−3.52518	+	8.51054i	−0.373669	+	0.902116i	0.619454	+	0.785033i	$0.287354\pi$
$89$	−3.52518	+	8.51054i	−0.373669	+	0.902116i	−0.993122	+	0.117083i	$0.962646\pi$
$90$	2.27129	−	3.55305i	0.239415	−	0.374524i
$91$	−19.8633	−	3.95106i	−2.08224	−	0.414184i
$92$	−12.8303	−	0.567042i	−1.33765	−	0.0591182i
$93$	6.77997	+	7.91361i	0.703050	+	0.820603i
$94$	−0.440431	−	0.691746i	−0.0454270	−	0.0713481i
$95$			2.22831i			0.228620i
$96$	9.08527	+	3.66850i	0.927261	+	0.374415i
$97$		−	7.20955i		−	0.732019i	−0.930611	−	0.366009i	$-0.880724\pi$
$97$		−	7.20955i		−	0.732019i	0.930611	−	0.366009i	$-0.119276\pi$
$98$	−10.8616	+	6.91551i	−1.09718	+	0.698572i
$99$	−14.2552	+	6.62504i	−1.43270	+	0.665841i
$100$	−5.41786	−	5.91890i	−0.541786	−	0.591890i
$101$	−10.0719	−	2.00343i	−1.00219	−	0.199349i	−0.333390	−	0.942789i	$-0.608193\pi$
$101$	−10.0719	−	2.00343i	−1.00219	−	0.199349i	−0.668802	+	0.743440i	$0.733193\pi$
$102$	2.26601	+	0.689635i	0.224369	+	0.0682841i
$103$	3.84510	−	9.28290i	0.378869	−	0.914672i	−0.613309	−	0.789843i	$-0.710162\pi$
$103$	3.84510	−	9.28290i	0.378869	−	0.914672i	0.992178	−	0.124828i	$-0.0398381\pi$
$104$	−6.32346	+	12.7969i	−0.620066	+	1.25484i
$105$	6.85968	−	0.822612i	0.669436	−	0.0802787i
$106$	2.13836	+	5.50314i	0.207696	+	0.534512i
$107$	15.0307	−	10.0432i	1.45307	−	0.970911i	0.456367	−	0.889792i	$-0.349151\pi$
$107$	15.0307	−	10.0432i	1.45307	−	0.970911i	0.996704	−	0.0811191i	$-0.0258494\pi$
$108$	−10.3206	+	1.21864i	−0.993101	+	0.117263i
$109$	−1.13131	−	5.68748i	−0.108360	−	0.544762i	−0.996384	−	0.0849650i	$-0.972922\pi$
$109$	−1.13131	−	5.68748i	−0.108360	−	0.544762i	0.888024	−	0.459797i	$-0.152078\pi$
$110$	−1.27705	−	7.25383i	−0.121762	−	0.691625i
$111$	9.06888	−	5.09718i	0.860780	−	0.483803i
$112$	4.81070	+	15.3145i	0.454568	+	1.44709i
$113$	7.57068	−	7.57068i	0.712190	−	0.712190i	−0.254803	−	0.966993i	$-0.582011\pi$
$113$	7.57068	−	7.57068i	0.712190	−	0.712190i	0.966993	+	0.254803i	$0.0820107\pi$
$114$	4.24811	−	3.47988i	0.397872	−	0.325921i
$115$	1.24518	+	6.25993i	0.116113	+	0.583741i
$116$	3.79109	+	6.25504i	0.351994	+	0.580766i
$117$	−0.640987	−	15.1262i	−0.0592592	−	1.39842i
$118$	0.389006	−	0.883443i	0.0358109	−	0.0813275i
$119$	1.48505	+	3.58522i	0.136134	+	0.328657i
$120$	0.695149	−	4.81947i	0.0634581	−	0.439955i
$121$	−6.29729	+	15.2030i	−0.572481	+	1.38209i
$122$	1.62841	−	1.55803i	0.147429	−	0.141058i
$123$	−4.67267	+	9.20566i	−0.421321	+	0.830047i
$124$	10.9028	+	5.09115i	0.979101	+	0.457198i
$125$	−4.97655	+	7.44793i	−0.445116	+	0.666163i
$126$	−12.2808	−	11.7928i	−1.09406	−	1.05059i
$127$		−	4.30331i		−	0.381857i	−0.981604	−	0.190928i	$-0.938850\pi$
$127$		−	4.30331i		−	0.381857i	0.981604	−	0.190928i	$-0.0611498\pi$
$128$	11.3038	−	0.472389i	0.999128	−	0.0417537i
$129$	−3.69696	+	13.1861i	−0.325499	+	1.16097i
$130$	6.92525	+	1.53723i	0.607384	+	0.134824i
$131$	−0.418316	−	0.279510i	−0.0365484	−	0.0244209i	0.537162	−	0.843479i	$-0.319496\pi$
$131$	−0.418316	−	0.279510i	−0.0365484	−	0.0244209i	−0.573710	+	0.819058i	$0.694496\pi$
$132$	−11.8345	+	13.7627i	−1.03006	+	1.19789i
$133$	8.82396	+	1.75520i	0.765135	+	0.152195i
$134$	10.2635	+	10.7271i	0.886634	+	0.926684i
$135$	1.80997	+	4.83718i	0.155777	+	0.416318i
$136$	2.71195	−	0.354827i	0.232547	−	0.0304261i
$137$	4.55661	−	1.88741i	0.389298	−	0.161252i	−0.179445	−	0.983768i	$-0.557430\pi$
$137$	4.55661	−	1.88741i	0.389298	−	0.161252i	0.568742	+	0.822516i	$0.307430\pi$
$138$	9.98953	−	12.1498i	0.850365	−	1.03426i
$139$	18.9938	−	12.6912i	1.61103	−	1.07646i	0.667792	−	0.744348i	$-0.267240\pi$
$139$	18.9938	−	12.6912i	1.61103	−	1.07646i	0.943241	−	0.332109i	$-0.107760\pi$
$140$	6.82237	−	4.13494i	0.576596	−	0.349466i
$141$	1.00138	+	0.0772588i	0.0843317	+	0.00650637i
$142$	−7.53280	−	5.27752i	−0.632139	−	0.442880i
$143$	−18.6982	−	18.6982i	−1.56362	−	1.56362i
$144$	−10.2735	+	6.20115i	−0.856129	+	0.516763i
$145$	2.57033	−	2.57033i	0.213454	−	0.213454i
$146$	0.204855	−	0.0360651i	0.0169539	−	0.00298477i
$147$	1.21309	−	15.7234i	0.100054	−	1.29684i
$148$	7.10830	−	9.68366i	0.584299	−	0.795992i
$149$	0.484782	+	0.725528i	0.0397149	+	0.0594375i	0.850796	−	0.525496i	$-0.176120\pi$
$149$	0.484782	+	0.725528i	0.0397149	+	0.0594375i	−0.811081	+	0.584934i	$0.801120\pi$
$150$	9.78105	−	0.954381i	0.798620	−	0.0779249i
$151$	6.03653	+	14.5735i	0.491246	+	1.18597i	0.954086	+	0.299531i	$0.0968303\pi$
$151$	6.03653	+	14.5735i	0.491246	+	1.18597i	−0.462840	+	0.886442i	$0.653170\pi$
$152$	2.80909	−	5.68480i	0.227847	−	0.461098i
$153$	−2.34167	+	1.71237i	−0.189313	+	0.138437i
$154$	−29.7306	−	0.656659i	−2.39576	−	0.0529151i
$155$	1.16665	−	5.86515i	0.0937077	−	0.471101i
$156$	−7.88432	−	15.6031i	−0.631251	−	1.24925i
$157$	−0.607206	+	0.908748i	−0.0484603	+	0.0725260i	−0.854909	−	0.518779i	$-0.826387\pi$
$157$	−0.607206	+	0.908748i	−0.0484603	+	0.0725260i	0.806448	+	0.591305i	$0.201387\pi$
$158$	0.787119	+	1.23626i	0.0626198	+	0.0983514i
$159$	−6.96242	−	1.95203i	−0.552156	−	0.154806i
$160$	−1.56617	−	5.40010i	−0.123817	−	0.426916i
$161$	25.7697			2.03094
$162$	6.39516	−	11.0046i	0.502451	−	0.864606i
$163$	−0.673986	−	0.450343i	−0.0527906	−	0.0352736i	0.528895	−	0.848687i	$-0.322607\pi$
$163$	−0.673986	−	0.450343i	−0.0527906	−	0.0352736i	−0.581686	+	0.813414i	$0.697607\pi$
$164$	−0.526330	+	11.9091i	−0.0410995	+	0.929946i
$165$	8.04382	+	4.08293i	0.626210	+	0.317856i
$166$	−10.0471	−	0.221909i	−0.779803	−	0.0172235i
$167$	−7.64654	−	3.16730i	−0.591707	−	0.245093i	0.0666777	−	0.997775i	$-0.478760\pi$
$167$	−7.64654	−	3.16730i	−0.591707	−	0.245093i	−0.658385	+	0.752681i	$0.728760\pi$
$168$	−18.5372	−	6.54894i	−1.43018	−	0.505262i
$169$	11.5192	−	4.77139i	0.886090	−	0.367030i
$170$	−0.492309	−	1.26697i	−0.0377583	−	0.0971721i
$171$	0.284748	+	6.71959i	0.0217752	+	0.513860i
$172$	2.39721	+	15.6304i	0.182785	+	1.19181i
$173$	4.87296	−	0.969292i	0.370484	−	0.0736939i	−0.00633687	−	0.999980i	$-0.502017\pi$
$173$	4.87296	−	0.969292i	0.370484	−	0.0736939i	0.376821	+	0.926286i	$0.377017\pi$
$174$	−8.91412	−	0.886139i	−0.675778	−	0.0671780i
$175$	11.3850	+	11.3850i	0.860622	+	0.860622i
$176$	−5.88647	+	20.1156i	−0.443710	+	1.51627i
$177$	0.579256	+	1.03061i	0.0435396	+	0.0774654i
$178$	−10.6694	−	7.47504i	−0.799706	−	0.560278i
$179$	−7.27280	+	1.44665i	−0.543595	+	0.108128i	−0.459247	−	0.888309i	$-0.651881\pi$
$179$	−7.27280	+	1.44665i	−0.543595	+	0.108128i	−0.0843477	+	0.996436i	$0.526881\pi$
$180$	4.20931	+	4.22463i	0.313743	+	0.314885i
$181$	−5.17210	−	7.74060i	−0.384439	−	0.575354i	0.587898	−	0.808935i	$-0.299956\pi$
$181$	−5.17210	−	7.74060i	−0.384439	−	0.575354i	−0.972337	+	0.233581i	$0.924956\pi$
$182$	11.5422	−	26.2127i	0.855565	−	1.94301i
$183$	0.328650	+	2.74058i	0.0242945	+	0.202589i
$184$	4.71484	−	17.5399i	0.347583	−	1.29306i
$185$	−5.51550	−	2.28460i	−0.405508	−	0.167967i
$186$	−13.0034	+	6.93528i	−0.953455	+	0.508520i
$187$	−0.988492	+	4.96948i	−0.0722857	+	0.363405i
$188$	1.09001	−	0.396071i	0.0794968	−	0.0288865i
$189$	20.5806	−	3.35720i	1.49702	−	0.244201i
$190$	−3.07643	−	0.682889i	−0.223187	−	0.0495419i
$191$	−18.7379			−1.35583			−0.677915	−	0.735140i	$-0.737116\pi$
$191$	−18.7379			−1.35583			−0.677915	+	0.735140i	$0.737116\pi$
$192$	−7.84904	+	11.4190i	−0.566456	+	0.824092i
$193$	10.3487			0.744917			0.372458	−	0.928049i	$-0.378515\pi$
$193$	10.3487			0.744917			0.372458	+	0.928049i	$0.378515\pi$
$194$	9.95357	+	2.20944i	0.714625	+	0.158628i
$195$	−6.59779	+	5.65264i	−0.472477	+	0.404794i
$196$	−6.21898	−	17.1149i	−0.444213	−	1.22249i
$197$	0.499551	−	2.51141i	0.0355916	−	0.178931i	−0.958901	−	0.283742i	$-0.908424\pi$
$197$	0.499551	−	2.51141i	0.0355916	−	0.178931i	0.994492	+	0.104812i	$0.0334239\pi$
$198$	−4.77795	−	21.7111i	−0.339554	−	1.54294i
$199$	−21.9191	−	9.07919i	−1.55380	−	0.643606i	−0.569804	−	0.821780i	$-0.692981\pi$
$199$	−21.9191	−	9.07919i	−1.55380	−	0.643606i	−0.983999	+	0.178174i	$0.942981\pi$
$200$	9.83204	−	5.66605i	0.695230	−	0.400650i
$201$	−18.0535	+	2.16498i	−1.27340	+	0.152706i
$202$	5.85259	−	13.2914i	0.411787	−	0.935180i
$203$	−8.15372	−	12.2029i	−0.572279	−	0.856476i
$204$	−1.64656	+	2.91713i	−0.115282	+	0.204240i
$205$	5.81048	−	1.15578i	0.405822	−	0.0807230i
$206$	11.6377	+	8.15343i	0.810836	+	0.568076i
$207$	4.55483	+	18.7180i	0.316583	+	1.30099i
$208$	−15.7296	−	12.6520i	−1.09065	−	0.877255i
$209$	8.30637	+	8.30637i	0.574564	+	0.574564i
$210$	−0.966512	+	9.72264i	−0.0666957	+	0.670926i
$211$	5.82420	−	1.15850i	0.400954	−	0.0797547i	0.00950579	−	0.999955i	$-0.496974\pi$
$211$	5.82420	−	1.15850i	0.400954	−	0.0797547i	0.391448	+	0.920200i	$0.371974\pi$
$212$	−8.25301	+	1.26575i	−0.566819	+	0.0869322i
$213$	10.7080	−	3.49747i	0.733698	−	0.239643i
$214$	9.25940	+	23.8293i	0.632960	+	1.62894i
$215$	7.26053	−	3.00741i	0.495164	−	0.205104i
$216$	1.48040	−	14.6222i	0.100728	−	0.994914i
$217$	−22.3067	−	9.23973i	−1.51428	−	0.627234i
$218$	8.19889	+	0.181089i	0.555299	+	0.0122649i
$219$	−0.115306	+	0.227165i	−0.00779165	+	0.0153504i
$220$	10.4061	+	0.459902i	0.701577	+	0.0310066i
$221$	−4.05759	−	2.71119i	−0.272943	−	0.182375i
$222$	4.25797	+	14.0827i	0.285776	+	0.945167i
$223$	−3.73785			−0.250305			−0.125152	−	0.992138i	$-0.539942\pi$
$223$	−3.73785			−0.250305			−0.125152	+	0.992138i	$0.539942\pi$
$224$	−22.6177	+	1.94840i	−1.51121	+	0.130183i
$225$	−6.25725	+	10.2819i	−0.417150	+	0.685457i
$226$	8.13204	+	12.7723i	0.540935	+	0.849598i
$227$	−1.99547	+	2.98643i	−0.132444	+	0.198216i	−0.891764	−	0.452501i	$-0.850532\pi$
$227$	−1.99547	+	2.98643i	−0.132444	+	0.198216i	0.759320	+	0.650717i	$0.225532\pi$
$228$	3.50248	+	6.93142i	0.231957	+	0.459044i
$229$	−5.43450	+	27.3211i	−0.359122	+	1.80543i	0.203908	+	0.978990i	$0.434636\pi$
$229$	−5.43450	+	27.3211i	−0.359122	+	1.80543i	−0.563030	+	0.826437i	$0.690364\pi$
$230$	−9.02412	−	0.199315i	−0.595033	−	0.0131425i
$231$	22.5041	−	28.6369i	1.48066	−	1.88417i
$232$	−9.79758	+	3.31709i	−0.643243	+	0.217778i
$233$	−9.69909	−	23.4157i	−0.635408	−	1.53401i	−0.832734	−	0.553674i	$-0.813226\pi$
$233$	−9.69909	−	23.4157i	−0.635408	−	1.53401i	0.197325	−	0.980338i	$-0.436774\pi$
$234$	21.0799	+	3.75064i	1.37803	+	0.245187i
$235$	−0.320208	−	0.479225i	−0.0208881	−	0.0312612i
$236$	1.10047	+	0.807805i	0.0716348	+	0.0525836i
$237$	−1.78963	−	0.138074i	−0.116249	−	0.00896884i
$238$	−5.40490	+	0.951543i	−0.350347	+	0.0616793i
$239$	−0.877531	+	0.877531i	−0.0567628	+	0.0567628i	−0.734918	−	0.678156i	$-0.762780\pi$
$239$	−0.877531	+	0.877531i	−0.0567628	+	0.0567628i	0.678156	+	0.734918i	$0.262780\pi$
$240$	6.44077	+	2.43670i	0.415750	+	0.157289i
$241$	1.37915	+	1.37915i	0.0888390	+	0.0888390i	0.750130	−	0.661291i	$-0.229991\pi$
$241$	1.37915	+	1.37915i	0.0888390	+	0.0888390i	−0.661291	+	0.750130i	$0.729991\pi$
$242$	−19.0595	−	13.3532i	−1.22519	−	0.858377i
$243$	6.07618	+	14.3555i	0.389787	+	0.920905i
$244$	1.65199	+	2.72567i	0.105758	+	0.174493i
$245$	−7.52464	+	5.02780i	−0.480732	+	0.321215i
$246$	−11.2774	−	9.27231i	−0.719023	−	0.591181i
$247$	−10.4526	+	4.32962i	−0.665085	+	0.275487i
$248$	−10.3702	+	13.4923i	−0.658506	+	0.856761i
$249$	7.60496	−	9.67747i	0.481945	−	0.613285i
$250$	−8.75756	−	9.15316i	−0.553877	−	0.578897i
$251$	21.1556	+	4.20812i	1.33533	+	0.265614i	0.810574	−	0.585637i	$-0.199155\pi$
$251$	21.1556	+	4.20812i	1.33533	+	0.265614i	0.524759	+	0.851251i	$0.324155\pi$
$252$	20.0448	−	13.3409i	1.26271	−	0.840400i
$253$	27.9764	+	18.6933i	1.75886	+	1.17524i
$254$	5.94118	+	1.31879i	0.372783	+	0.0827484i
$255$	1.60293	+	0.449410i	0.100380	+	0.0281432i
$256$	−2.81199	+	15.7510i	−0.175750	+	0.984435i
$257$		−	11.0021i		−	0.686292i	−0.939282	−	0.343146i	$-0.888507\pi$
$257$		−	11.0021i		−	0.686292i	0.939282	−	0.343146i	$-0.111493\pi$
$258$	−17.0719	−	9.14508i	−1.06285	−	0.569348i
$259$	−13.3913	+	20.0415i	−0.832095	+	1.24532i
$260$	−4.24462	+	9.08996i	−0.263240	+	0.563735i
$261$	7.42250	−	8.07940i	0.459441	−	0.500102i
$262$	0.514091	−	0.491872i	0.0317607	−	0.0303880i
$263$	3.70327	−	8.94049i	0.228354	−	0.551294i	−0.767624	−	0.640901i	$-0.778561\pi$
$263$	3.70327	−	8.94049i	0.228354	−	0.551294i	0.995977	+	0.0896065i	$0.0285609\pi$
$264$	−15.3740	−	20.5566i	−0.946207	−	1.26517i
$265$	1.58794	+	3.83364i	0.0975467	+	0.235498i
$266$	−5.12743	+	11.6445i	−0.314383	+	0.713973i
$267$	15.1667	−	4.95380i	0.928187	−	0.303168i
$268$	−17.9554	+	10.8825i	−1.09680	+	0.664753i
$269$	−2.23837	−	11.2530i	−0.136476	−	0.686109i	−0.987070	−	0.160287i	$-0.948758\pi$
$269$	−2.23837	−	11.2530i	−0.136476	−	0.686109i	0.850595	−	0.525822i	$-0.176242\pi$
$270$	−7.23294	+	1.01646i	−0.440183	+	0.0618595i
$271$	19.6396	−	19.6396i	1.19302	−	1.19302i	0.216808	−	0.976214i	$-0.430435\pi$
$271$	19.6396	−	19.6396i	1.19302	−	1.19302i	0.976214	−	0.216808i	$-0.0695646\pi$
$272$	−0.341226	+	3.85288i	−0.0206899	+	0.233615i
$273$	17.1871	+	30.5793i	1.04021	+	1.85074i
$274$	1.20936	+	6.86932i	0.0730599	+	0.414991i
$275$	4.10127	+	20.6185i	0.247316	+	1.24334i
$276$	13.7127	+	17.5151i	0.825406	+	1.05428i
$277$	4.66619	−	3.11785i	0.280364	−	0.187334i	−0.407435	−	0.913234i	$-0.633577\pi$
$277$	4.66619	−	3.11785i	0.280364	−	0.187334i	0.687800	+	0.725901i	$0.258577\pi$
$278$	11.7008	+	30.1124i	0.701768	+	1.80602i
$279$	2.76861	−	17.8358i	0.165752	−	1.06780i
$280$	3.61795	+	10.6862i	0.216214	+	0.638624i
$281$	−7.24049	+	17.4801i	−0.431931	+	1.04277i	0.546733	+	0.837307i	$0.315871\pi$
$281$	−7.24049	+	17.4801i	−0.431931	+	1.04277i	−0.978664	+	0.205467i	$0.934129\pi$
$282$	−0.413549	+	1.35884i	−0.0246265	+	0.0809179i
$283$	0.419792	+	0.0835019i	0.0249541	+	0.00496367i	0.207552	−	0.978224i	$-0.433451\pi$
$283$	0.419792	+	0.0835019i	0.0249541	+	0.00496367i	−0.182598	+	0.983188i	$0.558451\pi$
$284$	9.59470	−	8.78251i	0.569341	−	0.521146i
$285$	2.93096	−	2.51109i	0.173615	−	0.148744i
$286$	31.5452	−	20.0847i	1.86531	−	1.18763i
$287$		−	23.9195i		−	1.41192i
$288$	−5.41294	−	16.0842i	−0.318961	−	0.947768i
$289$		−	16.0649i		−	0.944996i
$290$	2.76091	+	4.33632i	0.162126	+	0.254637i
$291$	−9.48292	+	8.12447i	−0.555898	+	0.476265i
$292$	−0.0129880	+	0.293877i	−0.000760068	+	0.0171979i
$293$	8.13084	+	1.61732i	0.475009	+	0.0944851i	0.426788	−	0.904352i	$-0.359645\pi$
$293$	8.13084	+	1.61732i	0.475009	+	0.0944851i	0.0482204	+	0.998837i	$0.484645\pi$
$294$	21.3361	+	6.49340i	1.24435	+	0.378703i
$295$	0.259627	−	0.626795i	0.0151161	−	0.0364934i
$296$	11.1909	+	12.7814i	0.650460	+	0.742906i
$297$	24.7783	+	11.2844i	1.43778	+	0.654788i
$298$	−1.15024	+	0.446949i	−0.0666314	+	0.0258911i
$299$	−26.9449	+	18.0040i	−1.55826	+	1.04120i
$300$	−1.67988	+	13.7963i	−0.0969876	+	0.796529i
$301$	−6.19017	−	31.1201i	−0.356795	−	1.79373i
$302$	−21.9702	+	3.86790i	−1.26425	+	0.222573i
$303$	8.71492	+	15.5055i	0.500659	+	0.890770i
$304$	6.98761	+	5.62042i	0.400767	+	0.322353i
$305$	1.12004	−	1.12004i	0.0641331	−	0.0641331i
$306$	−1.64648	−	3.75770i	−0.0941232	−	0.214814i
$307$	3.00071	+	15.0856i	0.171260	+	0.860981i	0.966889	+	0.255197i	$0.0821404\pi$
$307$	3.00071	+	15.0856i	0.171260	+	0.860981i	−0.795629	+	0.605784i	$0.792860\pi$
$308$	10.0178	−	40.8451i	0.570819	−	2.32736i
$309$	−16.5431	+	5.40337i	−0.941105	+	0.307387i
$310$	7.73995	+	3.40813i	0.439600	+	0.193569i
$311$	3.32454	+	8.02614i	0.188517	+	0.455121i	0.989674	−	0.143333i	$-0.0457820\pi$
$311$	3.32454	+	8.02614i	0.188517	+	0.455121i	−0.801157	+	0.598454i	$0.795782\pi$
$312$	23.9580	−	6.10343i	1.35636	−	0.345539i
$313$	−5.93757	+	14.3346i	−0.335611	+	0.810238i	0.662515	+	0.749049i	$0.269489\pi$
$313$	−5.93757	+	14.3346i	−0.335611	+	0.810238i	−0.998126	+	0.0611888i	$0.980511\pi$
$314$	−1.06854	−	1.11681i	−0.0603013	−	0.0630252i
$315$	−8.81221	−	8.09572i	−0.496512	−	0.456142i
$316$	−1.94801	+	0.707841i	−0.109584	+	0.0398191i
$317$	−4.58817	+	6.86668i	−0.257697	+	0.385671i	−0.937648	−	0.347587i	$-0.887001\pi$
$317$	−4.58817	+	6.86668i	−0.257697	+	0.385671i	0.679951	+	0.733258i	$0.262001\pi$
$318$	4.82870	−	9.01416i	0.270780	−	0.505489i
$319$		−	19.1626i		−	1.07290i
$320$	7.93540	−	0.507359i	0.443603	−	0.0283622i
$321$	−30.1482	−	8.45257i	−1.68271	−	0.471776i
$322$	−7.89739	+	35.5779i	−0.440104	+	1.98268i
$323$	1.80252	+	1.20440i	0.100295	+	0.0670147i
$324$	13.2332	+	12.2017i	0.735180	+	0.677872i
$325$	−19.8583	−	3.95005i	−1.10154	−	0.219110i
$326$	0.828297	−	0.792499i	0.0458751	−	0.0438924i
$327$	−6.20602	+	7.89729i	−0.343194	+	0.436721i
$328$	−16.2805	−	4.37633i	−0.898943	−	0.241642i
$329$	−2.14992	+	0.890527i	−0.118529	+	0.0490963i
$330$	−8.10205	+	9.85411i	−0.446003	+	0.542451i
$331$	−16.8218	+	11.2399i	−0.924607	+	0.617803i	−0.924081	−	0.382197i	$-0.875168\pi$
$331$	−16.8218	+	11.2399i	−0.924607	+	0.617803i	−0.000526305		1.00000i	$0.500168\pi$
$332$	3.38539	−	13.8031i	0.185798	−	0.757541i
$333$	−16.9242	−	6.18451i	−0.927442	−	0.338909i
$334$	6.71617	−	9.58623i	0.367492	−	0.524535i
$335$	7.37823	+	7.37823i	0.403116	+	0.403116i
$336$	14.7225	−	23.5857i	0.803176	−	1.28670i
$337$	−10.4562	+	10.4562i	−0.569588	+	0.569588i	−0.932013	−	0.362425i	$-0.881949\pi$
$337$	−10.4562	+	10.4562i	−0.569588	+	0.569588i	0.362425	+	0.932013i	$0.381949\pi$
$338$	3.05727	+	17.3657i	0.166293	+	0.944570i
$339$	−18.4894	−	1.42649i	−1.00420	−	0.0774764i
$340$	1.90006	−	0.291410i	0.103045	−	0.0158039i
$341$	−17.5144	−	26.2121i	−0.948458	−	1.41947i
$342$	−9.36439	−	1.66616i	−0.506368	−	0.0900956i
$343$	3.23256	+	7.80410i	0.174542	+	0.421382i
$344$	−22.3141	−	1.48048i	−1.20310	−	0.0798221i
$345$	6.83066	−	8.69216i	0.367751	−	0.467970i
$346$	−0.155155	+	7.02471i	−0.00834116	+	0.377650i
$347$	0.0191071	−	0.0960581i	0.00102573	−	0.00515667i	−0.980269	−	0.197668i	$-0.936663\pi$
$347$	0.0191071	−	0.0960581i	0.00102573	−	0.00515667i	0.981295	+	0.192511i	$0.0616632\pi$
$348$	3.95523	−	12.0354i	0.212023	−	0.645163i
$349$	12.5311	−	18.7541i	0.670773	−	1.00388i	−0.327483	−	0.944857i	$-0.606201\pi$
$349$	12.5311	−	18.7541i	0.670773	−	1.00388i	0.998256	−	0.0590258i	$-0.0187994\pi$
$350$	−19.2072	+	12.2291i	−1.02667	+	0.653675i
$351$	−19.1736	+	17.8889i	−1.02341	+	0.954841i
$352$	−25.9679	−	14.2916i	−1.38409	−	0.761743i
$353$	−29.0761			−1.54757			−0.773783	−	0.633450i	$-0.781638\pi$
$353$	−29.0761			−1.54757			−0.773783	+	0.633450i	$0.781638\pi$
$354$	−1.60039	+	0.483886i	−0.0850597	+	0.0257182i
$355$	−5.37489	−	3.59139i	−0.285269	−	0.190611i
$356$	13.5899	−	12.4395i	0.720261	−	0.659291i
$357$	3.04223	−	5.99352i	0.161012	−	0.317211i
$358$	0.231565	−	10.4842i	0.0122386	−	0.554109i
$359$	−15.5113	−	6.42500i	−0.818656	−	0.339099i	−0.0662543	−	0.997803i	$-0.521105\pi$
$359$	−15.5113	−	6.42500i	−0.818656	−	0.339099i	−0.752402	+	0.658704i	$0.771105\pi$
$360$	−7.12255	+	4.51673i	−0.375391	+	0.238053i
$361$	−12.9103	+	5.34762i	−0.679489	+	0.281454i
$362$	12.2718	−	4.76847i	0.644991	−	0.250625i
$363$	27.0934	−	8.84933i	1.42203	−	0.464469i
$364$	32.6522	+	23.9684i	1.71144	+	1.25629i
$365$	0.143383	−	0.0285207i	0.00750502	−	0.00149284i
$366$	−3.88439	−	0.386141i	−0.203040	−	0.0201839i
$367$	−17.7815	−	17.7815i	−0.928188	−	0.928188i	0.0694007	−	0.997589i	$-0.477891\pi$
$367$	−17.7815	−	17.7815i	−0.928188	−	0.928188i	−0.997589	+	0.0694007i	$0.977891\pi$
$368$	22.7708	+	11.8846i	1.18701	+	0.619529i
$369$	17.3741	−	4.22781i	0.904461	−	0.220091i
$370$	4.84442	−	6.91462i	0.251849	−	0.359474i
$371$	16.4317	−	3.26848i	0.853093	−	0.169691i
$372$	−5.58989	−	20.0780i	−0.289822	−	1.04100i
$373$	14.2133	+	21.2718i	0.735939	+	1.10141i	0.990919	+	0.134464i	$0.0429311\pi$
$373$	14.2133	+	21.2718i	0.735939	+	1.10141i	−0.254980	+	0.966946i	$0.582069\pi$
$374$	−6.55798	−	2.88767i	−0.339105	−	0.149318i
$375$	15.4046	−	1.84731i	0.795488	−	0.0953948i
$376$	0.212776	+	1.62625i	0.0109731	+	0.0838675i
$377$	17.0511	+	7.06281i	0.878178	+	0.363753i
$378$	−1.67215	+	29.4426i	−0.0860060	+	1.51436i
$379$	−6.08068	+	30.5696i	−0.312343	+	1.57026i	0.431632	+	0.902050i	$0.357938\pi$
$379$	−6.08068	+	30.5696i	−0.312343	+	1.57026i	−0.743975	+	0.668207i	$0.767062\pi$
$380$	1.88560	−	4.03807i	0.0967295	−	0.207148i
$381$	−5.66026	+	4.84941i	−0.289984	+	0.248443i
$382$	5.74243	−	25.8698i	0.293808	−	1.32361i
$383$	36.2148			1.85049			0.925244	−	0.379371i	$-0.123860\pi$
$383$	36.2148			1.85049			0.925244	+	0.379371i	$0.123860\pi$
$384$	−13.3597	−	14.3359i	−0.681759	−	0.731577i
$385$	−20.9006			−1.06519
$386$	−3.17147	+	14.2875i	−0.161424	+	0.727216i
$387$	21.5102	−	9.99680i	1.09342	−	0.508166i
$388$	−6.10074	+	13.0649i	−0.309718	+	0.663269i
$389$	−3.80380	+	19.1230i	−0.192861	+	0.969575i	0.756166	+	0.654380i	$0.227070\pi$
$389$	−3.80380	+	19.1230i	−0.192861	+	0.969575i	−0.949027	+	0.315196i	$0.897930\pi$
$390$	−5.78213	−	10.8413i	−0.292790	−	0.548969i
$391$	5.73677	+	2.37625i	0.290121	+	0.120172i
$392$	25.5349	−	3.34094i	1.28971	−	0.168743i
$393$	0.103755	+	0.865204i	0.00523375	+	0.0436437i
$394$	3.31419	+	1.45933i	0.166966	+	0.0735202i
$395$	0.572262	+	0.856450i	0.0287936	+	0.0430927i
$396$	31.4388	+	0.0571033i	1.57986	+	0.00286955i
$397$	−21.5746	+	4.29146i	−1.08280	+	0.215382i	−0.704074	−	0.710127i	$-0.748638\pi$
$397$	−21.5746	+	4.29146i	−1.08280	+	0.215382i	−0.378726	+	0.925509i	$0.623638\pi$
$398$	19.2521	−	27.4793i	0.965022	−	1.37741i
$399$	−7.63511	−	13.5843i	−0.382233	−	0.680068i
$400$	4.80947	+	15.3106i	0.240473	+	0.765531i
$401$	−24.9191	−	24.9191i	−1.24440	−	1.24440i	−0.958157	−	0.286245i	$-0.907593\pi$
$401$	−24.9191	−	24.9191i	−1.24440	−	1.24440i	−0.286245	−	0.958157i	$-0.592407\pi$
$402$	2.54370	−	25.5884i	0.126868	−	1.27623i
$403$	29.7793	−	5.92347i	1.48341	−	0.295069i
$404$	16.5567	+	12.1534i	0.823724	+	0.604656i
$405$	4.32282	−	7.83174i	0.214803	−	0.389163i
$406$	19.3462	−	7.51740i	0.960138	−	0.373082i
$407$	−29.0761	+	12.0437i	−1.44125	+	0.596984i
$408$	−3.52282	−	3.16724i	−0.174405	−	0.156802i
$409$	−32.8827	−	13.6204i	−1.62594	−	0.673488i	−0.631175	−	0.775641i	$-0.717427\pi$
$409$	−32.8827	−	13.6204i	−1.62594	−	0.673488i	−0.994769	+	0.102153i	$0.967427\pi$
$410$	−0.185005	+	8.37621i	−0.00913675	+	0.413671i
$411$	−7.61743	−	3.86651i	−0.375740	−	0.190721i
$412$	−14.8232	+	13.5684i	−0.730286	+	0.668467i
$413$	−2.27757	−	1.52182i	−0.112072	−	0.0748839i
$414$	−27.2382	+	0.552113i	−1.33868	+	0.0271349i
$415$	−7.06309			−0.346713
$416$	22.2879	−	17.8391i	1.09275	−	0.874634i
$417$	−38.0973	−	10.6812i	−1.86563	−	0.523063i
$418$	−14.0134	+	8.92228i	−0.685419	+	0.436403i
$419$	21.0879	−	31.5602i	1.03021	−	1.54182i	0.203592	−	0.979056i	$-0.434739\pi$
$419$	21.0879	−	31.5602i	1.03021	−	1.54182i	0.826619	−	0.562763i	$-0.190261\pi$
$420$	−13.1270	−	4.31398i	−0.640530	−	0.210500i
$421$	0.323711	−	1.62741i	0.0157767	−	0.0793149i	−0.972095	−	0.234588i	$-0.924626\pi$
$421$	0.323711	−	1.62741i	0.0157767	−	0.0793149i	0.987872	+	0.155273i	$0.0496258\pi$
$422$	−0.185442	+	8.39597i	−0.00902716	+	0.408710i
$423$	−1.02684	−	1.40421i	−0.0499268	−	0.0682751i
$424$	0.781709	−	11.7821i	0.0379631	−	0.572188i
$425$	1.48467	+	3.58430i	0.0720169	+	0.173864i
$426$	1.54708	+	15.8554i	0.0749562	+	0.768195i
$427$	−3.55304	−	5.31750i	−0.171944	−	0.257332i
$428$	−35.7366	+	5.48088i	−1.72740	+	0.264928i
$429$	−3.52318	+	45.6654i	−0.170101	+	2.20474i
$430$	1.92699	+	10.9456i	0.0929279	+	0.527844i
$431$	−8.48020	+	8.48020i	−0.408477	+	0.408477i	−0.881207	−	0.472730i	$-0.843268\pi$
$431$	−8.48020	+	8.48020i	−0.408477	+	0.408477i	0.472730	+	0.881207i	$0.343268\pi$
$432$	19.7338	+	6.52497i	0.949445	+	0.313933i
$433$	7.39431	+	7.39431i	0.355348	+	0.355348i	0.862095	−	0.506747i	$-0.169152\pi$
$433$	7.39431	+	7.39431i	0.355348	+	0.355348i	−0.506747	+	0.862095i	$0.669152\pi$
$434$	19.5926	−	27.9652i	0.940473	−	1.34237i
$435$	−6.27733	−	0.484309i	−0.300975	−	0.0232208i
$436$	−2.76265	+	11.2640i	−0.132307	+	0.539447i
$437$	11.9698	−	7.99798i	0.572595	−	0.382596i
$438$	−0.278289	−	0.228809i	−0.0132972	−	0.0109329i
$439$	15.1087	−	6.25824i	0.721100	−	0.298689i	0.00821108	−	0.999966i	$-0.497386\pi$
$439$	15.1087	−	6.25824i	0.721100	−	0.298689i	0.712889	+	0.701277i	$0.247386\pi$
$440$	−3.82399	+	14.2258i	−0.182302	+	0.678187i
$441$	−22.0485	+	16.1232i	−1.04993	+	0.767769i
$442$	4.98659	−	4.77107i	0.237188	−	0.226937i
$443$	35.7076	+	7.10267i	1.69652	+	0.337458i	0.946191	−	0.323609i	$-0.104896\pi$
$443$	35.7076	+	7.10267i	1.69652	+	0.337458i	0.750326	+	0.661067i	$0.229896\pi$
$444$	−20.7476	+	1.56281i	−0.984635	+	0.0741679i
$445$	−7.61295	−	5.08681i	−0.360889	−	0.241138i
$446$	1.14550	−	5.16051i	0.0542411	−	0.244357i
$447$	0.408004	−	1.45525i	0.0192979	−	0.0688309i
$448$	4.24145	−	31.8233i	0.200390	−	1.50351i
$449$			29.1190i			1.37421i	0.726559	+	0.687104i	$0.241118\pi$
$449$			29.1190i			1.37421i	−0.726559	+	0.687104i	$0.758882\pi$
$450$	−12.2776	−	11.7898i	−0.578773	−	0.555776i
$451$	17.3511	−	25.9678i	0.817033	−	1.22278i
$452$	−20.1257	+	7.31298i	−0.946631	+	0.343974i
$453$	12.3663	−	24.3629i	0.581020	−	1.14467i
$454$	−3.51156	−	3.67018i	−0.164806	−	0.172250i
$455$	7.70341	−	18.5977i	0.361141	−	0.871872i
$456$	−10.6430	+	2.71135i	−0.498402	+	0.126971i
$457$	0.159700	+	0.385549i	0.00747044	+	0.0180352i	0.927571	−	0.373648i	$-0.121893\pi$
$457$	0.159700	+	0.385549i	0.00747044	+	0.0180352i	−0.920100	+	0.391683i	$0.871893\pi$
$458$	−36.0543	−	15.8757i	−1.68470	−	0.741824i
$459$	4.89116	+	1.15039i	0.228300	+	0.0536954i
$460$	3.04071	−	12.3977i	0.141774	−	0.578046i
$461$	3.45947	+	17.3919i	0.161124	+	0.810023i	0.973817	+	0.227332i	$0.0730003\pi$
$461$	3.45947	+	17.3919i	0.161124	+	0.810023i	−0.812694	+	0.582691i	$0.802000\pi$
$462$	32.6398	+	39.8454i	1.51854	+	1.85378i
$463$	10.9564	−	10.9564i	0.509187	−	0.509187i	−0.405090	−	0.914277i	$-0.632760\pi$
$463$	10.9564	−	10.9564i	0.509187	−	0.509187i	0.914277	+	0.405090i	$0.132760\pi$
$464$	−1.57703	−	14.5432i	−0.0732120	−	0.675151i
$465$	−9.02930	+	5.07494i	−0.418724	+	0.235345i
$466$	35.3003	−	6.21468i	1.63525	−	0.287890i
$467$	0.465826	+	2.34187i	0.0215559	+	0.108369i	0.990065	−	0.140608i	$-0.0449057\pi$
$467$	0.465826	+	2.34187i	0.0215559	+	0.108369i	−0.968509	+	0.248977i	$0.919906\pi$
$468$	−11.6383	+	27.9537i	−0.537981	+	1.29216i
$469$	35.0290	−	23.4056i	1.61749	−	1.08077i
$470$	0.759754	−	0.295219i	0.0350449	−	0.0136174i
$471$	1.87956	−	0.225397i	0.0866058	−	0.0103858i
$472$	−1.45251	+	1.27177i	−0.0668574	+	0.0585378i
$473$	15.8542	−	38.2753i	0.728975	−	1.75990i
$474$	0.739075	−	2.42846i	0.0339469	−	0.111543i
$475$	8.82170	+	1.75475i	0.404768	+	0.0805133i
$476$	0.342677	−	7.75366i	0.0157066	−	0.355388i
$477$	5.27842	+	11.3576i	0.241682	+	0.520029i
$478$	−0.942599	−	1.48046i	−0.0431135	−	0.0677145i
$479$			27.3126i			1.24794i	0.781447	+	0.623971i	$0.214482\pi$
$479$			27.3126i			1.24794i	−0.781447	+	0.623971i	$0.785518\pi$
$480$	−5.33798	+	8.14543i	−0.243644	+	0.371786i
$481$		−	30.3113i		−	1.38208i
$482$	−2.32672	+	1.48141i	−0.105979	+	0.0674766i
$483$	−29.0400	−	33.8956i	−1.32137	−	1.54230i
$484$	24.2766	−	22.2215i	1.10348	−	1.01007i
$485$	7.02824	+	1.39800i	0.319136	+	0.0634801i
$486$	−21.6814	+	3.98945i	−0.983490	+	0.180965i
$487$	−11.7515	+	28.3705i	−0.532510	+	1.28559i	0.397346	+	0.917669i	$0.369931\pi$
$487$	−11.7515	+	28.3705i	−0.532510	+	1.28559i	−0.929856	+	0.367924i	$0.880069\pi$
$488$	−4.26936	+	1.44544i	−0.193265	+	0.0654321i
$489$	0.167169	+	1.39401i	0.00755964	+	0.0630391i
$490$	−4.63543	−	11.9294i	−0.209407	−	0.538916i
$491$	−7.62054	+	5.09188i	−0.343910	+	0.229793i	−0.715515	−	0.698598i	$-0.753808\pi$
$491$	−7.62054	+	5.09188i	−0.343910	+	0.229793i	0.371605	+	0.928391i	$0.378808\pi$
$492$	16.2575	−	12.7281i	0.732946	−	0.573829i
$493$	−0.689915	−	3.46844i	−0.0310722	−	0.156211i
$494$	−2.77420	−	15.7579i	−0.124817	−	0.708980i
$495$	−3.69421	−	15.1813i	−0.166043	−	0.682350i
$496$	−15.4495	−	18.4520i	−0.693704	−	0.828519i
$497$	−18.4553	+	18.4553i	−0.827835	+	0.827835i
$498$	11.0302	+	13.4652i	0.494275	+	0.603392i
$499$	7.60310	+	38.2234i	0.340361	+	1.71111i	0.649726	+	0.760169i	$0.274884\pi$
$499$	7.60310	+	38.2234i	0.340361	+	1.71111i	−0.309364	+	0.950944i	$0.600116\pi$
$500$	15.3208	−	9.28570i	0.685166	−	0.415269i
$501$	4.45088	+	13.6270i	0.198851	+	0.608807i
$502$	−12.2931	+	27.9181i	−0.548669	+	1.24604i
$503$	4.74830	+	11.4634i	0.211716	+	0.511129i	0.993687	−	0.112186i	$-0.0357854\pi$
$503$	4.74830	+	11.4634i	0.211716	+	0.511129i	−0.781971	+	0.623315i	$0.785785\pi$
$504$	12.2757	+	31.7626i	0.546802	+	1.41482i
$505$	3.90609	−	9.43014i	0.173819	−	0.419636i
$506$	−34.3818	+	32.8958i	−1.52846	+	1.46240i
$507$	−19.2569	−	9.77457i	−0.855231	−	0.434104i
$508$	−3.64147	+	7.79830i	−0.161564	+	0.345993i
$509$	19.2360	−	28.7886i	0.852619	−	1.27603i	−0.106866	−	0.994273i	$-0.534082\pi$
$509$	19.2360	−	28.7886i	0.852619	−	1.27603i	0.959485	−	0.281761i	$-0.0909184\pi$
$510$	−1.11170	+	2.07530i	−0.0492267	+	0.0918959i
$511$		−	0.590253i		−	0.0261113i
$512$	−20.8842	−	8.70931i	−0.922958	−	0.384901i
$513$	8.51758	−	7.94687i	0.376060	−	0.350863i
$514$	15.1896	+	3.37171i	0.669985	+	0.148720i
$515$	8.30385	+	5.54846i	0.365912	+	0.244494i
$516$	17.8576	−	20.7671i	0.786139	−	0.914219i
$517$	−2.98001	−	0.592761i	−0.131061	−	0.0260696i
$518$	−23.5656	−	24.6301i	−1.03541	−	1.08218i
$519$	−6.76630	−	5.31724i	−0.297008	−	0.233401i
$520$	−11.2489	−	8.64588i	−0.493296	−	0.379147i
$521$	24.9630	−	10.3400i	1.09365	−	0.453004i	0.238372	−	0.971174i	$-0.423386\pi$
$521$	24.9630	−	10.3400i	1.09365	−	0.453004i	0.855278	+	0.518170i	$0.173386\pi$
$522$	8.87980	+	12.7236i	0.388658	+	0.556896i
$523$	−10.8065	+	7.22068i	−0.472536	+	0.315738i	−0.768936	−	0.639326i	$-0.779214\pi$
$523$	−10.8065	+	7.22068i	−0.472536	+	0.315738i	0.296401	+	0.955064i	$0.404214\pi$
$524$	0.521535	+	0.860498i	0.0227834	+	0.0375910i
$525$	2.14519	−	27.8047i	0.0936238	−	1.21350i
$526$	11.2084	+	7.85268i	0.488710	+	0.342393i
$527$	−4.11384	−	4.11384i	−0.179202	−	0.179202i
$528$	33.0922	−	14.9258i	1.44015	−	0.649561i
$529$	12.8938	−	12.8938i	0.560599	−	0.560599i
$530$	−5.77940	+	1.01747i	−0.251041	+	0.0441962i
$531$	0.702823	−	1.92331i	0.0304999	−	0.0834646i
$532$	−14.5052	−	10.6476i	−0.628881	−	0.461631i
$533$	16.7114	+	25.0103i	0.723850	+	1.08332i
$534$	2.19127	+	22.4574i	0.0948256	+	0.971828i
$535$	6.87602	+	16.6002i	0.297276	+	0.717688i
$536$	−9.52185	−	28.1244i	−0.411281	−	1.21479i
$537$	10.0986	+	7.93588i	0.435785	+	0.342458i
$538$	16.2220	+	0.358295i	0.699380	+	0.0154472i
$539$	−9.30734	+	46.7912i	−0.400896	+	2.01544i
$540$	0.813281	−	10.2974i	0.0349981	−	0.443128i
$541$	1.36985	−	2.05013i	0.0588947	−	0.0881421i	−0.800853	−	0.598860i	$-0.795620\pi$
$541$	1.36985	−	2.05013i	0.0588947	−	0.0881421i	0.859748	+	0.510718i	$0.170620\pi$
$542$	21.0959	+	33.1334i	0.906146	+	1.42320i
$543$	−4.35296	+	15.5259i	−0.186803	+	0.666281i
$544$	−5.21475	−	1.65185i	−0.223580	−	0.0708226i
$545$	5.76383			0.246895
$546$	−47.4852	+	14.3574i	−2.03218	+	0.614440i
$547$	1.11688	+	0.746278i	0.0477545	+	0.0319086i	0.579218	−	0.815172i	$-0.303358\pi$
$547$	1.11688	+	0.746278i	0.0477545	+	0.0319086i	−0.531464	+	0.847081i	$0.678358\pi$
$548$	−9.85446	−	0.435523i	−0.420962	−	0.0186046i
$549$	3.23440	−	3.52065i	0.138041	−	0.150258i
$550$	−29.7230	−	0.656491i	−1.26739	−	0.0279929i
$551$	−7.57468	−	3.13754i	−0.322692	−	0.133664i
$552$	−28.3838	+	13.5642i	−1.20810	+	0.577330i
$553$	3.84225	−	1.59151i	0.163389	−	0.0676779i
$554$	2.87453	+	7.39769i	0.122127	+	0.314298i
$555$	3.21045	+	9.82921i	0.136276	+	0.417227i
$556$	−45.1593	+	6.92601i	−1.91518	+	0.293728i
$557$	−32.1153	+	6.38814i	−1.36077	+	0.270674i	−0.820899	−	0.571074i	$-0.806527\pi$
$557$	−32.1153	+	6.38814i	−1.36077	+	0.270674i	−0.539871	+	0.841748i	$0.681527\pi$
$558$	23.7757	+	9.28832i	1.00651	+	0.393206i
$559$	28.2145	+	28.2145i	1.19335	+	1.19335i
$560$	−15.8623	+	1.72007i	−0.670303	+	0.0726863i
$561$	7.65043	−	4.29994i	0.323002	−	0.181544i
$562$	−21.9142	−	15.3532i	−0.924396	−	0.647637i
$563$	−3.24723	+	0.645913i	−0.136854	+	0.0272220i	−0.263042	−	0.964784i	$-0.584726\pi$
$563$	−3.24723	+	0.645913i	−0.136854	+	0.0272220i	0.126188	+	0.992006i	$0.459726\pi$
$564$	−1.74930	−	0.987380i	−0.0736586	−	0.0415762i
$565$	5.91226	+	8.84833i	0.248731	+	0.372252i
$566$	−0.243933	+	0.553979i	−0.0102533	+	0.0232855i
$567$	−27.6082	−	23.2870i	−1.15943	−	0.977961i
$568$	9.18482	+	15.9380i	0.385386	+	0.668744i
$569$	13.6962	+	5.67316i	0.574175	+	0.237831i	0.650826	−	0.759227i	$-0.274423\pi$
$569$	13.6962	+	5.67316i	0.574175	+	0.237831i	−0.0766510	+	0.997058i	$0.524423\pi$
$570$	2.56862	+	4.81606i	0.107588	+	0.201723i
$571$	3.79750	−	19.0913i	0.158920	−	0.798947i	−0.816286	−	0.577649i	$-0.803970\pi$
$571$	3.79750	−	19.0913i	0.158920	−	0.798947i	0.975206	−	0.221299i	$-0.0710296\pi$
$572$	18.0617	+	49.7067i	0.755199	+	2.07834i
$573$	21.1159	+	24.6465i	0.882128	+	1.02962i
$574$	33.0235	+	7.33038i	1.37837	+	0.305964i
$575$	25.7631			1.07440
$576$	23.8648	−	2.54400i	0.994366	−	0.106000i
$577$	38.2782			1.59354			0.796771	−	0.604281i	$-0.206540\pi$
$577$	38.2782			1.59354			0.796771	+	0.604281i	$0.206540\pi$
$578$	22.1794	+	4.92326i	0.922541	+	0.204781i
$579$	−11.6620	−	13.6120i	−0.484657	−	0.565693i
$580$	−6.83287	+	2.48283i	−0.283719	+	0.103094i
$581$	−5.56345	+	27.9694i	−0.230811	+	1.16036i
$582$	−8.31058	−	15.5820i	−0.344485	−	0.645896i
$583$	20.2098	+	8.37117i	0.837004	+	0.346698i
$584$	−0.401749	−	0.107993i	−0.0166245	−	0.00446878i
$585$	14.8702	+	2.30827i	0.614805	+	0.0954351i
$586$	−4.72467	+	10.7299i	−0.195174	+	0.443247i
$587$	−20.6062	−	30.8394i	−0.850511	−	1.27288i	−0.960313	−	0.278926i	$-0.910022\pi$
$587$	−20.6062	−	30.8394i	−0.850511	−	1.27288i	0.109802	−	0.993954i	$-0.464978\pi$
$588$	−15.5035	+	27.4669i	−0.639354	+	1.13271i
$589$	−13.2290	+	2.63140i	−0.545090	+	0.108425i
$590$	0.785794	+	0.550531i	0.0323506	+	0.0226650i
$591$	−3.86628	+	2.17305i	−0.159037	+	0.0893873i
$592$	−21.0758	+	11.5333i	−0.866208	+	0.474016i
$593$	−1.60218	−	1.60218i	−0.0657938	−	0.0657938i	0.673444	−	0.739238i	$-0.264814\pi$
$593$	−1.60218	−	1.60218i	−0.0657938	−	0.0657938i	−0.739238	+	0.673444i	$0.764814\pi$
$594$	−23.1729	+	30.7509i	−0.950796	+	1.26173i
$595$	−3.78303	+	0.752491i	−0.155089	+	0.0308491i
$596$	−0.264561	−	1.72500i	−0.0108368	−	0.0706587i
$597$	12.7586	+	39.0622i	0.522175	+	1.59871i
$598$	−16.5990	−	42.7179i	−0.678782	−	1.74686i
$599$	2.19472	−	0.909083i	0.0896738	−	0.0371441i	−0.337396	−	0.941363i	$-0.609546\pi$
$599$	2.19472	−	0.909083i	0.0896738	−	0.0371441i	0.427069	+	0.904219i	$0.359546\pi$
$600$	−18.5325	−	6.54727i	−0.756585	−	0.267291i
$601$	17.3626	+	7.19182i	0.708235	+	0.293360i	0.707574	−	0.706639i	$-0.249790\pi$
$601$	17.3626	+	7.19182i	0.708235	+	0.293360i	0.000660854		1.00000i	$0.499790\pi$
$602$	44.8617	+	0.990860i	1.82843	+	0.0403844i
$603$	23.1923	+	21.3066i	0.944462	+	0.867672i
$604$	1.39294	−	31.5177i	0.0566779	−	1.28244i
$605$	−13.5996	−	9.08694i	−0.552901	−	0.369437i
$606$	−24.0779	+	7.28007i	−0.978096	+	0.295733i
$607$	5.07416			0.205954			0.102977	−	0.994684i	$-0.467163\pi$
$607$	5.07416			0.205954			0.102977	+	0.994684i	$0.467163\pi$
$608$	−9.90103	+	7.92473i	−0.401540	+	0.321390i
$609$	−6.86236	+	24.4763i	−0.278077	+	0.991831i
$610$	1.20309	+	1.88958i	0.0487115	+	0.0765068i
$611$	1.62580	−	2.43318i	0.0657728	−	0.0984360i
$612$	5.69250	−	1.12156i	0.230106	−	0.0453365i
$613$	2.85290	−	14.3425i	0.115227	−	0.579287i	−0.879428	−	0.476033i	$-0.842074\pi$
$613$	2.85290	−	14.3425i	0.115227	−	0.579287i	0.994655	−	0.103255i	$-0.0329256\pi$
$614$	−21.7469	−	0.480324i	−0.877635	−	0.0193843i
$615$	−8.06808	−	6.34024i	−0.325337	−	0.255663i
$616$	53.3210	+	26.3481i	2.14837	+	1.06160i
$617$	8.24754	+	19.9113i	0.332033	+	0.801599i	0.998431	+	0.0560025i	$0.0178355\pi$
$617$	8.24754	+	19.9113i	0.332033	+	0.801599i	−0.666397	+	0.745597i	$0.732165\pi$
$618$	−2.39014	−	24.4955i	−0.0961454	−	0.985354i
$619$	−4.96359	−	7.42854i	−0.199504	−	0.298578i	0.718206	−	0.695831i	$-0.244964\pi$
$619$	−4.96359	−	7.42854i	−0.199504	−	0.298578i	−0.917709	+	0.397253i	$0.869964\pi$
$620$	−7.07728	+	9.64140i	−0.284230	+	0.387208i
$621$	19.4875	−	27.0845i	0.782006	−	1.08686i
$622$	−12.0998	+	2.13019i	−0.485158	+	0.0854130i
$623$	−26.1400	+	26.1400i	−1.04728	+	1.04728i
$624$	1.08428	+	34.9471i	0.0434060	+	1.39900i
$625$	7.88915	+	7.88915i	0.315566	+	0.315566i
$626$	−17.9708	−	12.5904i	−0.718258	−	0.503215i
$627$	1.56511	−	20.2861i	0.0625046	−	0.810148i
$628$	1.86934	−	1.13298i	0.0745949	−	0.0452109i
$629$	−4.82918	+	3.22675i	−0.192552	+	0.128659i
$630$	13.8776	−	9.68520i	0.552898	−	0.385868i
$631$	−30.3756	+	12.5820i	−1.20923	+	0.500881i	−0.893971	−	0.448124i	$-0.852092\pi$
$631$	−30.3756	+	12.5820i	−1.20923	+	0.500881i	−0.315262	+	0.949005i	$0.602092\pi$
$632$	−0.380264	−	2.90636i	−0.0151261	−	0.115609i
$633$	−8.08712	−	6.35520i	−0.321434	−	0.252597i
$634$	−8.07411	−	8.43883i	−0.320664	−	0.335149i
$635$	4.19509	+	0.834455i	0.166477	+	0.0331143i
$636$	10.9652	+	9.42903i	0.434800	+	0.373885i
$637$	−38.2050	−	25.5278i	−1.51374	−	1.01145i
$638$	26.4560	+	5.87256i	1.04740	+	0.232497i
$639$	−16.6672	−	10.1432i	−0.659344	−	0.401258i
$640$	−1.73142	+	11.1112i	−0.0684404	+	0.439208i
$641$		−	13.2130i		−	0.521881i	−0.965355	−	0.260940i	$-0.915967\pi$
$641$		−	13.2130i		−	0.521881i	0.965355	−	0.260940i	$-0.0840326\pi$
$642$	20.9089	−	39.0325i	0.825209	−	1.54049i
$643$	−8.38907	+	12.5551i	−0.330832	+	0.495126i	−0.959176	−	0.282810i	$-0.908733\pi$
$643$	−8.38907	+	12.5551i	−0.330832	+	0.495126i	0.628343	+	0.777936i	$0.283733\pi$
$644$	−46.6989	−	21.8064i	−1.84020	−	0.859293i
$645$	−12.1376	−	6.16091i	−0.477919	−	0.242586i
$646$	−2.21521	+	2.11947i	−0.0871562	+	0.0833894i
$647$	6.02373	−	14.5426i	0.236817	−	0.571727i	−0.760133	−	0.649767i	$-0.774866\pi$
$647$	6.02373	−	14.5426i	0.236817	−	0.571727i	0.996950	+	0.0780403i	$0.0248663\pi$
$648$	−20.9012	+	14.5306i	−0.821078	+	0.570816i
$649$	−1.36868	−	3.30428i	−0.0537252	−	0.129704i
$650$	11.5392	−	26.2060i	0.452606	−	1.02788i
$651$	12.9842	+	39.7529i	0.508892	+	1.55804i
$652$	0.840291	+	1.38642i	0.0329083	+	0.0542966i
$653$	−3.44866	−	17.3376i	−0.134957	−	0.678472i	−0.987727	−	0.156187i	$-0.950080\pi$
$653$	−3.44866	−	17.3376i	−0.134957	−	0.678472i	0.852771	−	0.522285i	$-0.174920\pi$
$654$	−9.00118	−	10.9883i	−0.351974	−	0.429677i
$655$	0.353597	−	0.353597i	0.0138162	−	0.0138162i
$656$	11.0313	−	21.1359i	0.430701	−	0.825218i
$657$	0.428735	−	0.104328i	0.0167265	−	0.00407022i
$658$	−0.570604	−	3.24111i	−0.0222445	−	0.126352i
$659$	−9.02750	−	45.3843i	−0.351661	−	1.76792i	−0.600746	−	0.799440i	$-0.705130\pi$
$659$	−9.02750	−	45.3843i	−0.351661	−	1.76792i	0.249085	−	0.968482i	$-0.419870\pi$
$660$	−11.1217	−	14.2057i	−0.432912	−	0.552954i
$661$	−17.0665	+	11.4035i	−0.663809	+	0.443543i	−0.841292	−	0.540581i	$-0.818205\pi$
$661$	−17.0665	+	11.4035i	−0.663809	+	0.443543i	0.177483	+	0.984124i	$0.443205\pi$
$662$	−10.3628	−	26.6689i	−0.402760	−	1.03651i
$663$	1.00641	+	8.39231i	0.0390855	+	0.325930i
$664$	18.0191	+	8.90399i	0.699278	+	0.345542i
$665$	−3.42211	+	8.26171i	−0.132704	+	0.320375i
$666$	13.7250	−	21.4704i	0.531833	−	0.831963i
$667$	−23.0326	−	4.58147i	−0.891825	−	0.177395i
$668$	11.1766	+	12.2102i	0.432436	+	0.472427i
$669$	4.21220	+	4.91650i	0.162853	+	0.190083i
$670$	−12.4476	+	7.92532i	−0.480892	+	0.306182i
$671$		−	8.35022i		−	0.322357i
$672$	28.0508	+	27.5540i	1.08208	+	1.06292i
$673$			39.9401i			1.53958i	0.638300	+	0.769788i	$0.279638\pi$
$673$			39.9401i			1.53958i	−0.638300	+	0.769788i	$0.720362\pi$
$674$	−11.2316	−	17.6404i	−0.432624	−	0.679483i
$675$	20.5753	−	3.35634i	0.791945	−	0.129186i
$676$	−24.9122	−	1.10101i	−0.958161	−	0.0423464i
$677$	−4.42850	−	0.880884i	−0.170201	−	0.0338551i	0.109254	−	0.994014i	$-0.465154\pi$
$677$	−4.42850	−	0.880884i	−0.170201	−	0.0338551i	−0.279455	+	0.960159i	$0.590154\pi$
$678$	7.63568	−	25.0894i	0.293247	−	0.963553i
$679$	11.0720	−	26.7302i	0.424905	−	1.02581i
$680$	−0.179970	+	2.71255i	−0.00690155	+	0.104022i
$681$	6.17683	−	0.740725i	0.236697	−	0.0283846i
$682$	41.5562	−	16.1476i	1.59127	−	0.618322i
$683$	−12.1355	+	8.10869i	−0.464352	+	0.310270i	−0.765647	−	0.643261i	$-0.777581\pi$
$683$	−12.1355	+	8.10869i	−0.464352	+	0.310270i	0.301295	+	0.953531i	$0.402581\pi$
$684$	5.17013	−	12.4180i	0.197685	−	0.474812i
$685$	0.956373	+	4.80801i	0.0365411	+	0.183705i
$686$	−11.7651	+	2.07126i	−0.449192	+	0.0790812i
$687$	42.0603	−	23.6401i	1.60470	−	0.901925i
$688$	8.88234	−	30.3533i	0.338636	−	1.15721i
$689$	−14.8976	+	14.8976i	−0.567552	+	0.567552i
$690$	9.90715	+	12.0943i	0.377159	+	0.460421i
$691$	−6.14932	−	30.9147i	−0.233931	−	1.17605i	−0.901928	−	0.431887i	$-0.857848\pi$
$691$	−6.14932	−	30.9147i	−0.233931	−	1.17605i	0.667996	−	0.744165i	$-0.267152\pi$
$692$	−9.65083	−	2.36700i	−0.366869	−	0.0899798i
$693$	−63.0269	+	2.67082i	−2.39419	+	0.101456i
$694$	0.126763	+	0.0558175i	0.00481186	+	0.00211880i
$695$	8.68900	+	20.9771i	0.329593	+	0.795707i
$696$	15.4040	+	9.14899i	0.583887	+	0.346792i
$697$	2.20564	−	5.32489i	0.0835446	−	0.201695i
$698$	22.0518	+	23.0479i	0.834672	+	0.872376i
$699$	−19.8693	+	39.1447i	−0.751527	+	1.48059i
$700$	−10.9974	−	30.2654i	−0.415664	−	1.14392i
$701$	6.98670	−	10.4563i	0.263884	−	0.394931i	−0.675739	−	0.737141i	$-0.736175\pi$
$701$	6.98670	−	10.4563i	0.263884	−	0.394931i	0.939623	+	0.342210i	$0.111175\pi$
$702$	−18.8217	−	31.9536i	−0.710379	−	1.20601i
$703$			13.4653i			0.507853i
$704$	27.6892	−	31.4717i	1.04358	−	1.18613i
$705$	−0.269494	+	0.961220i	−0.0101497	+	0.0362016i
$706$	8.91068	−	40.1428i	0.335358	−	1.51079i
$707$	−34.2660	−	22.8958i	−1.28870	−	0.861085i
$708$	−0.177602	−	2.35780i	−0.00667469	−	0.0886117i
$709$	43.9099	+	8.73421i	1.64907	+	0.328020i	0.930180	−	0.367104i	$-0.119651\pi$
$709$	43.9099	+	8.73421i	1.64907	+	0.328020i	0.718889	+	0.695125i	$0.244651\pi$
$710$	6.60549	−	6.32001i	0.247900	−	0.237186i
$711$	1.83513	+	2.50954i	0.0688227	+	0.0941152i
$712$	13.0093	+	22.5745i	0.487545	+	0.846015i
$713$	−35.6933	+	14.7846i	−1.33672	+	0.553689i
$714$	7.34239	+	6.03691i	0.274782	+	0.225926i
$715$	21.8538	−	14.6022i	0.817285	−	0.546092i
$716$	14.4037	+	3.53270i	0.538290	+	0.132023i
$717$	2.14313	+	0.165347i	0.0800368	+	0.00617501i
$718$	13.6240	−	19.4461i	0.508444	−	0.725721i
$719$	24.3513	+	24.3513i	0.908150	+	0.908150i	0.996123	−	0.0879732i	$-0.0280390\pi$
$719$	24.3513	+	24.3513i	0.908150	+	0.908150i	−0.0879732	+	0.996123i	$0.528039\pi$
$720$	−4.05307	−	11.2177i	−0.151049	−	0.418057i
$721$	28.5123	−	28.5123i	1.06185	−	1.06185i
$722$	−3.42648	−	19.4629i	−0.127520	−	0.724335i
$723$	0.259864	−	3.36821i	0.00966446	−	0.125265i
$724$	2.82258	+	18.4039i	0.104900	+	0.683975i
$725$	−8.15164	−	12.1998i	−0.302744	−	0.453089i
$726$	3.91443	+	40.1173i	0.145278	+	1.48889i
$727$	2.78741	+	6.72940i	0.103379	+	0.249580i	0.967103	−	0.254387i	$-0.0818736\pi$
$727$	2.78741	+	6.72940i	0.103379	+	0.249580i	−0.863723	+	0.503966i	$0.831874\pi$
$728$	−43.0976	+	37.7346i	−1.59730	+	1.39854i
$729$	12.0349	−	24.1694i	0.445737	−	0.895164i
$730$	−0.00456530	+	0.206697i	−0.000168969	+	0.00765018i
$731$	1.49158	−	7.49866i	0.0551679	−	0.277348i
$732$	1.72352	−	5.24448i	0.0637031	−	0.193842i
$733$	−4.59999	+	6.88437i	−0.169904	+	0.254280i	−0.906644	−	0.421897i	$-0.861364\pi$
$733$	−4.59999	+	6.88437i	−0.169904	+	0.254280i	0.736739	+	0.676177i	$0.236364\pi$
$734$	29.9987	−	19.1000i	1.10727	−	0.704994i
$735$	15.0928	+	4.23151i	0.556705	+	0.156082i
$736$	−23.3864	+	27.7954i	−0.862033	+	1.02455i
$737$	55.0070			2.02621
$738$	0.512473	+	25.2825i	0.0188644	+	0.930663i
$739$	9.60076	+	6.41502i	0.353170	+	0.235980i	0.719481	−	0.694512i	$-0.244380\pi$
$739$	9.60076	+	6.41502i	0.353170	+	0.235980i	−0.366312	+	0.930492i	$0.619380\pi$
$740$	8.06176	+	8.80730i	0.296356	+	0.323763i
$741$	17.4740	+	8.86957i	0.641923	+	0.325832i
$742$	−0.523185	+	23.6875i	−0.0192067	+	0.869594i
$743$	−22.3975	−	9.27734i	−0.821684	−	0.340353i	−0.0680787	−	0.997680i	$-0.521687\pi$
$743$	−22.3975	−	9.27734i	−0.821684	−	0.340353i	−0.753605	+	0.657327i	$0.771687\pi$
$744$	29.4329	−	1.56435i	1.07906	−	0.0573520i
$745$	−0.801287	+	0.331904i	−0.0293569	+	0.0121600i
$746$	−33.7238	+	13.1041i	−1.23472	+	0.479776i
$747$	−21.2991	+	0.902566i	−0.779294	+	0.0330232i
$748$	5.99650	−	8.16905i	0.219254	−	0.298690i
$749$	71.1517	−	14.1529i	2.59983	−	0.517137i
$750$	−2.17046	+	21.8338i	−0.0792542	+	0.797258i
$751$	−5.97994	−	5.97994i	−0.218211	−	0.218211i	0.589533	−	0.807744i	$-0.299312\pi$
$751$	−5.97994	−	5.97994i	−0.218211	−	0.218211i	−0.807744	+	0.589533i	$0.799312\pi$
$752$	−2.31043	−	0.204621i	−0.0842526	−	0.00746175i
$753$	−18.3053	−	32.5688i	−0.667083	−	1.18687i
$754$	−14.9765	+	21.3765i	−0.545411	+	0.778485i
$755$	−15.3775	+	3.05878i	−0.559646	+	0.111320i
$756$	−40.1363	−	11.3316i	−1.45974	−	0.412125i
$757$	−13.3796	−	20.0239i	−0.486288	−	0.727782i	0.504469	−	0.863430i	$-0.331688\pi$
$757$	−13.3796	−	20.0239i	−0.486288	−	0.727782i	−0.990757	+	0.135648i	$0.956688\pi$
$758$	−40.3412	−	17.7634i	−1.46526	−	0.645196i
$759$	−6.93901	−	57.8637i	−0.251870	−	2.10032i
$760$	4.99713	+	3.84079i	0.181265	+	0.139320i
$761$	41.9677	+	17.3836i	1.52133	+	0.630155i	0.977857	−	0.209273i	$-0.0671097\pi$
$761$	41.9677	+	17.3836i	1.52133	+	0.630155i	0.543471	+	0.839428i	$0.317110\pi$
$762$	−4.96050	−	9.30076i	−0.179700	−	0.336931i
$763$	4.54005	−	22.8244i	0.164361	−	0.826298i
$764$	33.9562	+	15.8561i	1.22849	+	0.573654i
$765$	−1.21523	−	2.61483i	−0.0439368	−	0.0945393i
$766$	−11.0984	+	49.9985i	−0.401001	+	1.80652i
$767$	3.44465			0.124379
$768$	23.8865	−	14.0511i	0.861930	−	0.507027i
$769$	−17.5017			−0.631126			−0.315563	−	0.948905i	$-0.602193\pi$
$769$	−17.5017			−0.631126			−0.315563	+	0.948905i	$0.602193\pi$
$770$	6.40521	−	28.8556i	0.230828	−	1.03988i
$771$	−14.4714	+	12.3983i	−0.521174	+	0.446514i
$772$	−18.7536	−	8.75712i	−0.674956	−	0.315176i
$773$	−5.07740	+	25.5258i	−0.182621	+	0.918100i	0.775415	+	0.631452i	$0.217541\pi$
$773$	−5.07740	+	25.5258i	−0.182621	+	0.918100i	−0.958036	+	0.286647i	$0.907459\pi$
$774$	7.20965	+	32.7608i	0.259146	+	1.17756i
$775$	−22.3010	−	9.23736i	−0.801074	−	0.331816i
$776$	−16.1679	−	12.4266i	−0.580393	−	0.446089i
$777$	41.4518	−	4.97090i	1.48708	−	0.178330i
$778$	−25.2357	−	11.1120i	−0.904744	−	0.398385i
$779$	−7.42375	−	11.1104i	−0.265983	−	0.398072i
$780$	16.7396	−	4.66044i	0.599373	−	0.166871i
$781$	−33.4232	+	6.64828i	−1.19598	+	0.237894i
$782$	−5.03877	+	7.19202i	−0.180186	+	0.257186i
$783$	−18.9915	−	0.658302i	−0.678701	−	0.0235258i
$784$	−3.21289	+	36.2775i	−0.114746	+	1.29563i
$785$	−0.768152	−	0.768152i	−0.0274165	−	0.0274165i
$786$	−1.22630	−	0.121905i	−0.0437408	−	0.00434821i
$787$	4.24897	−	0.845172i	0.151459	−	0.0301271i	−0.118778	−	0.992921i	$-0.537898\pi$
$787$	4.24897	−	0.845172i	0.151459	−	0.0301271i	0.270238	+	0.962794i	$0.412898\pi$
$788$	−3.03044	+	4.12837i	−0.107955	+	0.147067i
$789$	−15.9329	+	5.20406i	−0.567227	+	0.185270i
$790$	−1.35780	+	0.527602i	−0.0483083	+	0.0187712i
$791$	39.6958	−	16.4425i	1.41142	−	0.584629i
$792$	−9.71358	+	43.3872i	−0.345157	+	1.54170i
$793$	7.43014	+	3.07767i	0.263852	+	0.109291i
$794$	0.686934	−	31.1013i	0.0243784	−	1.10374i
$795$	3.25303	−	6.40881i	0.115373	−	0.227297i
$796$	32.0382	+	35.0010i	1.13556	+	1.24058i
$797$	5.95920	+	3.98181i	0.211086	+	0.141043i	0.656619	−	0.754222i	$-0.271986\pi$
$797$	5.95920	+	3.98181i	0.211086	+	0.141043i	−0.445533	+	0.895265i	$0.646986\pi$
$798$	21.0945	−	6.37804i	0.746738	−	0.225780i
$799$	−0.560726			−0.0198370
$800$	−22.6119	+	1.94790i	−0.799452	+	0.0688685i
$801$	−23.6073	−	14.3667i	−0.834122	−	0.507623i
$802$	42.0403	−	26.7668i	1.48449	−	0.945170i
$803$	0.428168	−	0.640798i	0.0151097	−	0.0226133i
$804$	34.5480	+	11.3537i	1.21841	+	0.400413i
$805$	−4.99701	+	25.1217i	−0.176121	+	0.885422i
$806$	−0.948169	+	42.9289i	−0.0333978	+	1.51210i
$807$	−12.2790	+	15.6253i	−0.432241	+	0.550036i
$808$	−21.8531	+	19.1337i	−0.768789	+	0.673122i
$809$	4.18595	+	10.1058i	0.147170	+	0.355300i	0.980224	−	0.197892i	$-0.0634096\pi$
$809$	4.18595	+	10.1058i	0.147170	+	0.355300i	−0.833054	+	0.553192i	$0.813410\pi$
$810$	9.48781	+	8.36824i	0.333368	+	0.294030i
$811$	8.10301	+	12.1270i	0.284535	+	0.425837i	0.946013	−	0.324127i	$-0.105071\pi$
$811$	8.10301	+	12.1270i	0.284535	+	0.425837i	−0.661478	+	0.749964i	$0.730071\pi$
$812$	4.44974	+	29.0134i	0.156155	+	1.01817i
$813$	−47.9645	−	3.70056i	−1.68219	−	0.129784i
$814$	−7.71699	−	43.8336i	−0.270480	−	1.53637i
$815$	0.569710	−	0.569710i	0.0199561	−	0.0199561i
$816$	5.45233	−	3.89300i	0.190870	−	0.136282i
$817$	−12.5338	−	12.5338i	−0.438503	−	0.438503i
$818$	28.8817	−	41.2240i	1.00983	−	1.44136i
$819$	20.8535	−	57.0666i	0.728680	−	1.99407i
$820$	−11.5076	−	2.82239i	−0.401862	−	0.0985623i
$821$	43.7273	−	29.2177i	1.52609	−	1.01970i	0.542346	−	0.840155i	$-0.317536\pi$
$821$	43.7273	−	29.2177i	1.52609	−	1.01970i	0.983749	−	0.179548i	$-0.0574637\pi$
$822$	7.67257	−	9.33176i	0.267612	−	0.325483i
$823$	−9.51214	+	3.94006i	−0.331572	+	0.137342i	−0.542258	−	0.840212i	$-0.682430\pi$
$823$	−9.51214	+	3.94006i	−0.331572	+	0.137342i	0.210686	+	0.977554i	$0.432430\pi$
$824$	−14.1899	−	24.6232i	−0.494330	−	0.857790i
$825$	22.4983	−	28.6296i	0.783292	−	0.996755i
$826$	2.79902	−	2.67805i	0.0973904	−	0.0931813i
$827$	−51.3042	−	10.2050i	−1.78402	−	0.354864i	−0.810905	−	0.585178i	$-0.801024\pi$
$827$	−51.3042	−	10.2050i	−1.78402	−	0.354864i	−0.973116	+	0.230315i	$0.926024\pi$
$828$	7.58516	−	37.7745i	0.263602	−	1.31275i
$829$	−33.9311	−	22.6720i	−1.17847	−	0.787431i	−0.197260	−	0.980351i	$-0.563204\pi$
$829$	−33.9311	−	22.6720i	−1.17847	−	0.787431i	−0.981215	+	0.192920i	$0.938204\pi$
$830$	2.16455	−	9.75136i	0.0751328	−	0.338475i
$831$	−9.35935	−	2.62405i	−0.324672	−	0.0910274i
$832$	17.7985	+	36.2379i	0.617051	+	1.25632i
$833$			8.80433i			0.305052i
$834$	26.4219	−	49.3242i	0.914917	−	1.70796i
$835$	4.57039	−	6.84008i	0.158165	−	0.236711i
$836$	−8.02363	−	22.0814i	−0.277503	−	0.763701i
$837$	−26.5798	+	16.4576i	−0.918733	+	0.568857i
$838$	37.1098	+	38.7861i	1.28194	+	1.33984i
$839$	3.41574	−	8.24632i	0.117924	−	0.284695i	−0.853885	−	0.520461i	$-0.825760\pi$
$839$	3.41574	−	8.24632i	0.117924	−	0.284695i	0.971810	+	0.235767i	$0.0757601\pi$
$840$	9.97881	−	16.8011i	0.344302	−	0.579695i
$841$	−5.97963	−	14.4361i	−0.206194	−	0.497797i
$842$	2.14761	+	0.945654i	0.0740114	+	0.0325894i
$843$	31.1514	−	10.1748i	1.07291	−	0.350438i
$844$	−11.5347	−	2.82905i	−0.397042	−	0.0973801i
$845$	2.41772	+	12.1547i	0.0831721	+	0.418135i
$846$	2.25335	−	0.987334i	0.0774719	−	0.0339453i
$847$	−46.6958	+	46.6958i	−1.60449	+	1.60449i
$848$	16.0269	+	4.68997i	0.550366	+	0.161054i
$849$	−0.363233	−	0.646263i	−0.0124661	−	0.0221797i
$850$	−5.40351	+	0.951299i	−0.185339	+	0.0326293i
$851$	7.52439	+	37.8277i	0.257933	+	1.29672i
$852$	−22.3642	−	2.72313i	−0.766184	−	0.0932927i
$853$	−39.4858	+	26.3836i	−1.35197	+	0.903356i	−0.999473	−	0.0324574i	$-0.989667\pi$
$853$	−39.4858	+	26.3836i	−1.35197	+	0.903356i	−0.352495	+	0.935814i	$0.614667\pi$
$854$	8.43025	−	3.27576i	0.288477	−	0.112094i
$855$	−6.60582	−	1.02541i	−0.225914	−	0.0350683i
$856$	3.38491	−	51.0180i	0.115694	−	1.74376i
$857$	−10.9630	+	26.4671i	−0.374490	+	0.904098i	0.618488	+	0.785794i	$0.287746\pi$
$857$	−10.9630	+	26.4671i	−0.374490	+	0.904098i	−0.992977	+	0.118303i	$0.962254\pi$
$858$	−61.9663	−	18.8588i	−2.11550	−	0.643827i
$859$	−21.7921	−	4.33472i	−0.743538	−	0.147899i	−0.191237	−	0.981544i	$-0.561250\pi$
$859$	−21.7921	−	4.33472i	−0.743538	−	0.147899i	−0.552301	+	0.833645i	$0.686250\pi$
$860$	−15.7022	−	0.693965i	−0.535439	−	0.0236640i
$861$	−31.4620	+	26.9550i	−1.07222	+	0.918624i
$862$	−9.10900	−	14.3067i	−0.310254	−	0.487288i
$863$		−	38.8721i		−	1.32322i	−0.749847	−	0.661611i	$-0.769873\pi$
$863$		−	38.8721i		−	1.32322i	0.749847	−	0.661611i	$-0.230127\pi$
$864$	−15.0561	+	25.2451i	−0.512218	+	0.858856i
$865$			4.93837i			0.167910i
$866$	−12.4747	+	7.94259i	−0.423908	+	0.269900i
$867$	−21.1306	+	18.1036i	−0.717634	+	0.614832i
$868$	32.6047	+	35.6199i	1.10667	+	1.20902i
$869$	5.32574	+	1.05936i	0.180664	+	0.0359362i
$870$	2.59239	−	8.51812i	0.0878904	−	0.288791i
$871$	−20.2741	+	48.9460i	−0.686961	+	1.65847i
$872$	−14.7045	−	7.26610i	−0.497957	−	0.246061i
$873$	21.3727	+	3.31764i	0.723356	+	0.112285i
$874$	7.37382	+	18.9767i	0.249423	+	0.641897i
$875$	−29.8892	+	19.9713i	−1.01044	+	0.675154i
$876$	0.401181	−	0.314088i	0.0135546	−	0.0106120i
$877$	1.77370	+	8.91702i	0.0598938	+	0.301106i	0.999108	−	0.0422250i	$-0.0134446\pi$
$877$	1.77370	+	8.91702i	0.0598938	+	0.301106i	−0.939214	+	0.343331i	$0.888445\pi$
$878$	4.00996	+	22.7771i	0.135330	+	0.768692i
$879$	−7.03536	−	12.5173i	−0.237297	−	0.422198i
$880$	−18.4683	−	9.63907i	−0.622567	−	0.324933i
$881$	−31.0693	+	31.0693i	−1.04675	+	1.04675i	−0.0479003	+	0.998852i	$0.515253\pi$
$881$	−31.0693	+	31.0693i	−1.04675	+	1.04675i	−0.998852	+	0.0479003i	$0.984747\pi$
$882$	−15.5028	−	35.3814i	−0.522006	−	1.19135i
$883$	−1.53518	−	7.71788i	−0.0516630	−	0.259727i	0.946318	−	0.323236i	$-0.104771\pi$
$883$	−1.53518	−	7.71788i	−0.0516630	−	0.259727i	−0.997981	+	0.0635089i	$0.979771\pi$
$884$	5.05879	+	8.34667i	0.170146	+	0.280729i
$885$	−1.11702	+	0.364844i	−0.0375481	+	0.0122641i
$886$	−20.7490	+	47.1215i	−0.697075	+	1.58308i
$887$	0.656614	+	1.58521i	0.0220469	+	0.0532260i	0.934520	−	0.355912i	$-0.115830\pi$
$887$	0.656614	+	1.58521i	0.0220469	+	0.0532260i	−0.912473	+	0.409138i	$0.865830\pi$
$888$	4.20066	−	29.1232i	0.140965	−	0.977311i
$889$	6.60877	−	15.9550i	0.221651	−	0.535113i
$890$	9.35597	−	8.95161i	0.313613	−	0.300059i
$891$	−13.0801	−	45.3080i	−0.438198	−	1.51788i
$892$	6.77360	+	3.16298i	0.226797	+	0.105904i
$893$	−0.722235	+	1.08090i	−0.0241687	+	0.0361710i
$894$	1.88409	+	1.00927i	0.0630135	+	0.0337550i
$895$		−	7.37043i		−	0.246366i
$896$	42.6357	+	15.6084i	1.42436	+	0.521439i
$897$	54.0455	+	15.1526i	1.80453	+	0.505930i
$898$	−40.2019	−	8.92380i	−1.34156	−	0.297791i
$899$	18.2947	+	12.2241i	0.610162	+	0.407697i
$900$	20.0397	−	13.3375i	0.667990	−	0.444584i
$901$	3.95937	+	0.787568i	0.131906	+	0.0262377i
$902$	30.5340	+	31.9132i	1.01667	+	1.06259i
$903$	−33.9574	+	43.2115i	−1.13003	+	1.43799i
$904$	−3.92866	−	30.0268i	−0.130665	−	0.998677i
$905$	8.54886	−	3.54105i	0.284174	−	0.117709i
$906$	29.8459	+	24.5393i	0.991564	+	0.815264i
$907$	−7.16595	+	4.78814i	−0.237942	+	0.158987i	−0.668824	−	0.743420i	$-0.733202\pi$
$907$	−7.16595	+	4.78814i	−0.237942	+	0.158987i	0.430883	+	0.902408i	$0.358202\pi$
$908$	6.14324	−	3.72332i	0.203870	−	0.123563i
$909$	10.5740	−	28.9362i	0.350717	−	0.959754i
$910$	23.3153	+	16.3348i	0.772896	+	0.541495i
$911$	33.5714	+	33.5714i	1.11227	+	1.11227i	0.992843	+	0.119428i	$0.0381061\pi$
$911$	33.5714	+	33.5714i	1.11227	+	1.11227i	0.119428	+	0.992843i	$0.461894\pi$
$912$	−0.481675	−	15.5247i	−0.0159498	−	0.514074i
$913$	−26.3287	+	26.3287i	−0.871354	+	0.871354i
$914$	−0.581235	+	0.102328i	−0.0192255	+	0.00338469i
$915$	−2.73539	−	0.211041i	−0.0904291	−	0.00697680i
$916$	32.9674	−	44.9116i	1.08927	−	1.48392i
$917$	−1.12170	−	1.67874i	−0.0370417	−	0.0554369i
$918$	−3.08718	+	6.40024i	−0.101892	+	0.211239i
$919$	−2.63731	−	6.36703i	−0.0869968	−	0.210029i	0.874393	−	0.485218i	$-0.161260\pi$
$919$	−2.63731	−	6.36703i	−0.0869968	−	0.210029i	−0.961390	+	0.275189i	$0.911260\pi$
$920$	16.1845	+	7.99743i	0.533588	+	0.263667i
$921$	16.4610	−	20.9470i	0.542408	−	0.690226i
$922$	−25.0717	−	0.553757i	−0.825691	−	0.0182370i
$923$	6.40315	−	32.1908i	0.210762	−	1.05957i
$924$	−65.0138	+	32.8518i	−2.13880	+	1.08074i
$925$	−13.3879	+	20.0364i	−0.440190	+	0.658792i
$926$	11.7688	+	18.4842i	0.386747	+	0.607429i
$927$	25.7497	+	15.6705i	0.845732	+	0.514688i
$928$	20.5618	+	2.27964i	0.674973	+	0.0748328i
$929$	−32.0105			−1.05023			−0.525115	−	0.851031i	$-0.675978\pi$
$929$	−32.0105			−1.05023			−0.525115	+	0.851031i	$0.675978\pi$
$930$	−4.23939	−	14.0212i	−0.139015	−	0.459774i
$931$	16.9720	+	11.3403i	0.556233	+	0.371663i
$932$	−2.23808	+	50.6404i	−0.0733108	+	1.65878i
$933$	6.81057	−	13.4175i	0.222968	−	0.439271i
$934$	−3.37596	−	0.0745647i	−0.110465	−	0.00243983i
$935$	−4.65283	−	1.92727i	−0.152164	−	0.0630284i
$936$	−35.0264	−	24.6346i	−1.14487	−	0.805209i
$937$	7.59876	−	3.14751i	0.248241	−	0.102825i	−0.255094	−	0.966916i	$-0.582106\pi$
$937$	7.59876	−	3.14751i	0.248241	−	0.102825i	0.503334	+	0.864092i	$0.332106\pi$
$938$	21.5790	+	55.5342i	0.704580	+	1.81326i
$939$	25.5457	−	8.34383i	0.833653	−	0.272291i
$940$	0.174748	+	1.13940i	0.00569964	+	0.0371630i
$941$	−32.1872	+	6.40243i	−1.04927	+	0.208713i	−0.689469	−	0.724315i	$-0.742156\pi$
$941$	−32.1872	+	6.40243i	−1.04927	+	0.208713i	−0.359803	+	0.933028i	$0.617156\pi$
$942$	−0.264826	+	2.66402i	−0.00862850	+	0.0867985i
$943$	−27.0638	−	27.0638i	−0.881319	−	0.881319i
$944$	−1.31067	−	2.39510i	−0.0426588	−	0.0779539i
$945$	−0.718010	+	20.7140i	−0.0233569	+	0.673828i
$946$	47.9846	+	33.6183i	1.56011	+	1.09302i
$947$	−14.8826	+	2.96033i	−0.483619	+	0.0961978i	−0.430877	−	0.902410i	$-0.641796\pi$
$947$	−14.8826	+	2.96033i	−0.483619	+	0.0961978i	−0.0527413	+	0.998608i	$0.516796\pi$
$948$	3.12626	+	1.76460i	0.101536	+	0.0573116i
$949$	0.412380	+	0.617171i	0.0133864	+	0.0200342i
$950$	−5.12612	+	11.6416i	−0.166313	+	0.377702i
$951$	14.2024	−	1.70315i	0.460543	−	0.0552283i
$952$	10.5998	+	2.84929i	0.343540	+	0.0923461i
$953$	−30.2146	−	12.5153i	−0.978748	−	0.405411i	−0.164786	−	0.986329i	$-0.552693\pi$
$953$	−30.2146	−	12.5153i	−0.978748	−	0.405411i	−0.813962	+	0.580919i	$0.802693\pi$
$954$	−17.2981	+	3.80677i	−0.560045	+	0.123249i
$955$	3.63348	−	18.2667i	0.117577	−	0.591097i
$956$	2.33280	−	0.847661i	0.0754482	−	0.0274153i
$957$	−25.2051	+	21.5944i	−0.814764	+	0.698047i
$958$	−37.7080	−	8.37021i	−1.21829	−	0.270429i
$959$	19.7927			0.639140
$960$	−9.60978	−	9.86591i	−0.310154	−	0.318421i
$961$	5.19773			0.167669
$962$	41.8481	+	9.28920i	1.34924	+	0.299496i
$963$	22.8563	+	49.1800i	0.736533	+	1.58480i
$964$	−1.33221	−	3.66629i	−0.0429075	−	0.118083i
$965$	−2.00672	+	10.0885i	−0.0645986	+	0.324759i
$966$	55.6962	−	29.7052i	1.79200	−	0.955750i
$967$	31.2373	+	12.9389i	1.00452	+	0.416088i	0.823454	−	0.567382i	$-0.192044\pi$
$967$	31.2373	+	12.9389i	1.00452	+	0.416088i	0.181070	+	0.983470i	$0.442044\pi$
$968$	23.2395	+	40.3265i	0.746945	+	1.29614i
$969$	−0.447079	−	3.72815i	−0.0143622	−	0.119765i
$970$	−4.08398	+	9.27483i	−0.131129	+	0.297797i
$971$	18.9299	+	28.3306i	0.607489	+	0.909171i	0.999944	−	0.0106000i	$-0.00337415\pi$
$971$	18.9299	+	28.3306i	0.607489	+	0.909171i	−0.392455	+	0.919771i	$0.628374\pi$
$972$	1.13663	−	31.1562i	0.0364573	−	0.999335i
$973$	89.9121	−	17.8846i	2.88245	−	0.573355i
$974$	−35.5673	−	24.9186i	−1.13965	−	0.798444i
$975$	17.1827	+	30.5714i	0.550288	+	0.979070i
$976$	−0.687203	−	6.33729i	−0.0219968	−	0.202852i
$977$	−16.1554	−	16.1554i	−0.516857	−	0.516857i	0.399762	−	0.916619i	$-0.369093\pi$
$977$	−16.1554	−	16.1554i	−0.516857	−	0.516857i	−0.916619	+	0.399762i	$0.869093\pi$
$978$	−1.97581	−	0.196412i	−0.0631793	−	0.00628056i
$979$	−47.3403	+	9.41658i	−1.51300	+	0.300955i
$980$	17.8904	−	2.74383i	0.571489	−	0.0876484i
$981$	17.3811	−	0.736539i	0.554937	−	0.0235159i
$982$	−4.69451	−	12.0814i	−0.149808	−	0.385534i
$983$	−35.1998	+	14.5803i	−1.12270	+	0.465038i	−0.865294	−	0.501265i	$-0.832868\pi$
$983$	−35.1998	+	14.5803i	−1.12270	+	0.465038i	−0.257407	+	0.966303i	$0.582868\pi$
$984$	12.5903	+	26.3460i	0.401364	+	0.839878i
$985$	2.35139	+	0.973978i	0.0749215	+	0.0310335i
$986$	4.99999	+	0.110435i	0.159232	+	0.00351696i
$987$	3.59409	+	1.82431i	0.114401	+	0.0580685i
$988$	22.6056	+	0.999068i	0.719181	+	0.0317846i
$989$	−42.2148	−	28.2070i	−1.34235	−	0.896932i
$990$	22.0916	−	0.447793i	0.702118	−	0.0142318i
$991$	32.4796			1.03175			0.515874	−	0.856664i	$-0.327467\pi$
$991$	32.4796			1.03175			0.515874	+	0.856664i	$0.327467\pi$
$992$	30.2096	−	15.6750i	0.959157	−	0.497681i
$993$	33.7407	+	9.45978i	1.07073	+	0.300197i
$994$	−19.8238	−	31.1354i	−0.628772	−	0.987556i
$995$	13.1012	−	19.6073i	0.415336	−	0.621594i
$996$	−21.9705	+	11.1018i	−0.696163	+	0.351775i
$997$	7.69284	−	38.6745i	0.243635	−	1.22483i	−0.644267	−	0.764801i	$-0.722837\pi$
$997$	7.69284	−	38.6745i	0.243635	−	1.22483i	0.887901	−	0.460034i	$-0.152163\pi$
$998$	−55.1016	−	1.21703i	−1.74421	−	0.0385243i
$999$	10.9373	+	29.2303i	0.346042	+	0.924804i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	192.2.s.a.59.13	✓	240
3.2	odd	2	inner	192.2.s.a.59.18	yes	240
4.3	odd	2		768.2.s.a.143.22		240
12.11	even	2		768.2.s.a.143.3		240
64.13	even	16		768.2.s.a.623.3		240
64.51	odd	16	inner	192.2.s.a.179.18	yes	240
192.77	odd	16		768.2.s.a.623.22		240
192.179	even	16	inner	192.2.s.a.179.13	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
192.2.s.a.59.13	✓	240	1.1	even	1	trivial
192.2.s.a.59.18	yes	240	3.2	odd	2	inner
192.2.s.a.179.13	yes	240	192.179	even	16	inner
192.2.s.a.179.18	yes	240	64.51	odd	16	inner
768.2.s.a.143.3		240	12.11	even	2
768.2.s.a.143.22		240	4.3	odd	2
768.2.s.a.623.3		240	64.13	even	16
768.2.s.a.623.22		240	192.77	odd	16

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:	\( N \)	\(=\)	\( 192 = 2^{6} \cdot 3 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	192.s (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.306460 + 1.38061i) q^{2} +(-1.12690 - 1.31533i) q^{3} +(-1.81216 - 0.846204i) q^{4} +(-0.193910 + 0.974852i) q^{5} +(2.16130 - 1.15272i) q^{6} +(3.70761 + 1.53574i) q^{7} +(1.72363 - 2.24256i) q^{8} +(-0.460173 + 2.96450i) q^{9} +O(q^{10})\)	\(q+(-0.306460 + 1.38061i) q^{2} +(-1.12690 - 1.31533i) q^{3} +(-1.81216 - 0.846204i) q^{4} +(-0.193910 + 0.974852i) q^{5} +(2.16130 - 1.15272i) q^{6} +(3.70761 + 1.53574i) q^{7} +(1.72363 - 2.24256i) q^{8} +(-0.460173 + 2.96450i) q^{9} +(-1.28646 - 0.566468i) q^{10} +(2.91108 + 4.35674i) q^{11} +(0.929101 + 3.33718i) q^{12} +(-4.94964 + 0.984544i) q^{13} +(-3.25650 + 4.64812i) q^{14} +(1.50077 - 0.843510i) q^{15} +(2.56788 + 3.06692i) q^{16} +(0.683765 + 0.683765i) q^{17} +(-3.95179 - 1.54382i) q^{18} +(2.19880 - 0.437368i) q^{19} +(1.17632 - 1.60251i) q^{20} +(-2.15812 - 6.60736i) q^{21} +(-6.90709 + 2.68390i) q^{22} +(5.93261 - 2.45737i) q^{23} +(-4.89207 + 0.260013i) q^{24} +(3.70666 + 1.53535i) q^{25} +(0.157596 - 7.13524i) q^{26} +(4.41786 - 2.73543i) q^{27} +(-5.41925 - 5.92041i) q^{28} +(-3.04078 - 2.03178i) q^{29} +(0.704632 + 2.33048i) q^{30} -6.01645 q^{31} +(-5.02117 + 2.60535i) q^{32} +(2.45003 - 8.73866i) q^{33} +(-1.15356 + 0.734465i) q^{34} +(-2.21607 + 3.31658i) q^{35} +(3.34248 - 4.98275i) q^{36} +(-1.17177 + 5.89086i) q^{37} +(-0.0700094 + 3.16971i) q^{38} +(6.87277 + 5.40091i) q^{39} +(1.85194 + 2.11514i) q^{40} +(-2.28094 - 5.50667i) q^{41} +(9.78356 - 0.954626i) q^{42} +(-4.39265 - 6.57407i) q^{43} +(-1.58867 - 10.3585i) q^{44} +(-2.80071 - 1.02345i) q^{45} +(1.57456 + 8.94371i) q^{46} +(-0.410028 + 0.410028i) q^{47} +(1.14025 - 6.83373i) q^{48} +(6.43813 + 6.43813i) q^{49} +(-3.25566 + 4.64693i) q^{50} +(0.128837 - 1.66991i) q^{51} +(9.80268 + 2.40425i) q^{52} +(3.47118 - 2.31937i) q^{53} +(2.42266 + 6.93763i) q^{54} +(-4.81167 + 1.99306i) q^{55} +(9.83456 - 5.66750i) q^{56} +(-3.05311 - 2.39927i) q^{57} +(3.73697 - 3.57546i) q^{58} +(-0.669452 - 0.133162i) q^{59} +(-3.43342 + 0.258623i) q^{60} +(-1.32504 - 0.885363i) q^{61} +(1.84380 - 8.30637i) q^{62} +(-6.25885 + 10.2845i) q^{63} +(-2.05818 - 7.73071i) q^{64} -5.01608i q^{65} +(11.3138 + 6.06059i) q^{66} +(5.83232 - 8.72868i) q^{67} +(-0.660490 - 1.81770i) q^{68} +(-9.91773 - 5.03411i) q^{69} +(-3.89976 - 4.07592i) q^{70} +(-2.48885 + 6.00860i) q^{71} +(5.85490 + 6.14167i) q^{72} +(-0.0562858 - 0.135886i) q^{73} +(-7.77388 - 3.42306i) q^{74} +(-2.15757 - 6.60567i) q^{75} +(-4.35468 - 1.06805i) q^{76} +(4.10233 + 20.6238i) q^{77} +(-9.56278 + 7.83344i) q^{78} +(0.732784 - 0.732784i) q^{79} +(-3.48773 + 1.90860i) q^{80} +(-8.57648 - 2.72836i) q^{81} +(8.30157 - 1.46151i) q^{82} +(1.38633 + 6.96953i) q^{83} +(-1.68031 + 13.7998i) q^{84} +(-0.799159 + 0.533981i) q^{85} +(10.4224 - 4.04985i) q^{86} +(0.754205 + 6.28924i) q^{87} +(14.7879 + 0.981137i) q^{88} +(-3.52518 + 8.51054i) q^{89} +(2.27129 - 3.55305i) q^{90} +(-19.8633 - 3.95106i) q^{91} +(-12.8303 - 0.567042i) q^{92} +(6.77997 + 7.91361i) q^{93} +(-0.440431 - 0.691746i) q^{94} +2.22831i q^{95} +(9.08527 + 3.66850i) q^{96} -7.20955i q^{97} +(-10.8616 + 6.91551i) q^{98} +(-14.2552 + 6.62504i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9}+O(q^{10}) \) 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9	\( 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9} - 16 q^{10} - 8 q^{12} - 16 q^{13} - 8 q^{15} - 16 q^{16} - 8 q^{18} - 16 q^{19} - 8 q^{21} - 16 q^{22} - 48 q^{24} - 16 q^{25} - 8 q^{27} - 16 q^{28} - 88 q^{30} - 32 q^{31} - 16 q^{34} - 88 q^{36} - 16 q^{37} - 8 q^{39} - 16 q^{40} - 48 q^{42} - 16 q^{43} - 8 q^{45} - 16 q^{46} - 8 q^{48} - 16 q^{49} - 8 q^{51} + 32 q^{52} - 8 q^{54} - 80 q^{55} - 8 q^{57} + 128 q^{58} - 8 q^{60} - 16 q^{61} + 80 q^{64} - 24 q^{66} - 144 q^{67} - 8 q^{69} + 80 q^{70} - 8 q^{72} - 16 q^{73} - 8 q^{75} + 96 q^{76} + 16 q^{78} - 48 q^{79} - 8 q^{81} + 64 q^{82} + 104 q^{84} - 16 q^{85} - 8 q^{87} + 64 q^{88} + 136 q^{90} - 16 q^{91} - 32 q^{93} + 80 q^{94} + 128 q^{96} - 8 q^{99}+O(q^{100}) \) 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9 - 16 * q^10 - 8 * q^12 - 16 * q^13 - 8 * q^15 - 16 * q^16 - 8 * q^18 - 16 * q^19 - 8 * q^21 - 16 * q^22 - 48 * q^24 - 16 * q^25 - 8 * q^27 - 16 * q^28 - 88 * q^30 - 32 * q^31 - 16 * q^34 - 88 * q^36 - 16 * q^37 - 8 * q^39 - 16 * q^40 - 48 * q^42 - 16 * q^43 - 8 * q^45 - 16 * q^46 - 8 * q^48 - 16 * q^49 - 8 * q^51 + 32 * q^52 - 8 * q^54 - 80 * q^55 - 8 * q^57 + 128 * q^58 - 8 * q^60 - 16 * q^61 + 80 * q^64 - 24 * q^66 - 144 * q^67 - 8 * q^69 + 80 * q^70 - 8 * q^72 - 16 * q^73 - 8 * q^75 + 96 * q^76 + 16 * q^78 - 48 * q^79 - 8 * q^81 + 64 * q^82 + 104 * q^84 - 16 * q^85 - 8 * q^87 + 64 * q^88 + 136 * q^90 - 16 * q^91 - 32 * q^93 + 80 * q^94 + 128 * q^96 - 8 * q^99

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