LMFDB - Embedded newform 98.2.g.a.9.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [98,2,Mod(9,98)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(98, base_ring=CyclotomicField(42))

chi = DirichletCharacter(H, H._module([2]))

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

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

chi := DirichletCharacter("98.9");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 98 = 2 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	98.g (of order $21$, degree $12$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$0.782533939809$
Analytic rank:	$0$
Dimension:	$24$
Relative dimension:	$2$ over $\Q(\zeta_{21})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label			9.1
Character	$\chi$	$=$	98.9
Dual form			98.2.g.a.11.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.733052 + 0.680173i) q^{2} +(0.532240 + 0.0802223i) q^{3} +(0.0747301 + 0.997204i) q^{4} +(0.459870 + 1.17173i) q^{5} +(0.335594 + 0.420822i) q^{6} +(-1.68832 - 2.03705i) q^{7} +(-0.623490 + 0.781831i) q^{8} +(-2.58987 - 0.798871i) q^{9} +O(q^{10})$	\(q+(0.733052 + 0.680173i) q^{2} +(0.532240 + 0.0802223i) q^{3} +(0.0747301 + 0.997204i) q^{4} +(0.459870 + 1.17173i) q^{5} +(0.335594 + 0.420822i) q^{6} +(-1.68832 - 2.03705i) q^{7} +(-0.623490 + 0.781831i) q^{8} +(-2.58987 - 0.798871i) q^{9} +(-0.459870 + 1.17173i) q^{10} +(5.54024 - 1.70894i) q^{11} +(-0.0402236 + 0.536747i) q^{12} +(-0.471031 + 2.06372i) q^{13} +(0.147925 - 2.64161i) q^{14} +(0.150762 + 0.660533i) q^{15} +(-0.988831 + 0.149042i) q^{16} +(-6.62937 - 4.51983i) q^{17} +(-1.35514 - 2.34718i) q^{18} +(-1.31648 + 2.28021i) q^{19} +(-1.13409 + 0.546148i) q^{20} +(-0.735172 - 1.21964i) q^{21} +(5.22365 + 2.51558i) q^{22} +(1.09005 - 0.743183i) q^{23} +(-0.394566 + 0.366104i) q^{24} +(2.50379 - 2.32318i) q^{25} +(-1.74898 + 1.19243i) q^{26} +(-2.76919 - 1.33357i) q^{27} +(1.90519 - 1.83582i) q^{28} +(-0.191182 + 0.0920683i) q^{29} +(-0.338760 + 0.586749i) q^{30} +(1.96083 + 3.39625i) q^{31} +(-0.826239 - 0.563320i) q^{32} +(3.08583 - 0.465114i) q^{33} +(-1.78541 - 7.82238i) q^{34} +(1.61047 - 2.91503i) q^{35} +(0.603095 - 2.64233i) q^{36} +(-0.571461 + 7.62562i) q^{37} +(-2.51599 + 0.776080i) q^{38} +(-0.416258 + 1.06061i) q^{39} +(-1.20282 - 0.371021i) q^{40} +(-4.18126 + 5.24313i) q^{41} +(0.290648 - 1.39410i) q^{42} +(2.28771 + 2.86870i) q^{43} +(2.11818 + 5.39704i) q^{44} +(-0.254945 - 3.40201i) q^{45} +(1.30456 + 0.196630i) q^{46} +(6.31247 + 5.85711i) q^{47} -0.538252 q^{48} +(-1.29917 + 6.87838i) q^{49} +3.41557 q^{50} +(-3.16582 - 2.93745i) q^{51} +(-2.09315 - 0.315492i) q^{52} +(-0.378107 - 5.04549i) q^{53} +(-1.12290 - 2.86111i) q^{54} +(4.55020 + 5.70577i) q^{55} +(2.64528 - 0.0498970i) q^{56} +(-0.883608 + 1.10801i) q^{57} +(-0.202769 - 0.0625458i) q^{58} +(4.53197 - 11.5473i) q^{59} +(-0.647420 + 0.199702i) q^{60} +(-0.472890 + 6.31027i) q^{61} +(-0.872650 + 3.82333i) q^{62} +(2.74519 + 6.62446i) q^{63} +(-0.222521 - 0.974928i) q^{64} +(-2.63474 + 0.397122i) q^{65} +(2.57843 + 1.75794i) q^{66} +(0.838966 + 1.45313i) q^{67} +(4.01177 - 6.94860i) q^{68} +(0.639788 - 0.308106i) q^{69} +(3.16328 - 1.04147i) q^{70} +(-1.73115 - 0.833679i) q^{71} +(2.23934 - 1.52676i) q^{72} +(0.00982919 - 0.00912015i) q^{73} +(-5.60565 + 5.20128i) q^{74} +(1.51899 - 1.03563i) q^{75} +(-2.37222 - 1.14240i) q^{76} +(-12.8349 - 8.40053i) q^{77} +(-1.02653 + 0.494353i) q^{78} +(2.39693 - 4.15161i) q^{79} +(-0.629371 - 1.09010i) q^{80} +(5.35114 + 3.64834i) q^{81} +(-6.63131 + 0.999509i) q^{82} +(-2.09213 - 9.16622i) q^{83} +(1.16129 - 0.824261i) q^{84} +(2.24737 - 9.84636i) q^{85} +(-0.274200 + 3.65895i) q^{86} +(-0.109141 + 0.0336654i) q^{87} +(-2.11818 + 5.39704i) q^{88} +(3.24383 + 1.00059i) q^{89} +(2.12707 - 2.66726i) q^{90} +(4.99916 - 2.52470i) q^{91} +(0.822565 + 1.03146i) q^{92} +(0.771176 + 1.96492i) q^{93} +(0.643517 + 8.58714i) q^{94} +(-3.27720 - 0.493959i) q^{95} +(-0.394566 - 0.366104i) q^{96} -7.76637 q^{97} +(-5.63085 + 4.15855i) q^{98} -15.7137 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 24 q - 2 q^{2} + 7 q^{3} + 2 q^{4} - 7 q^{6} + 4 q^{8} - 33 q^{9}+O(q^{10}) $ 24 * q - 2 * q^2 + 7 * q^3 + 2 * q^4 - 7 * q^6 + 4 * q^8 - 33 * q^9	$ 24 q - 2 q^{2} + 7 q^{3} + 2 q^{4} - 7 q^{6} + 4 q^{8} - 33 q^{9} - 7 q^{11} + 14 q^{13} - 7 q^{15} + 2 q^{16} - 7 q^{17} + 5 q^{18} - 7 q^{20} + 7 q^{21} - 7 q^{22} - 21 q^{23} + 4 q^{25} - 7 q^{26} - 35 q^{27} - 14 q^{28} - 11 q^{29} + 28 q^{31} - 2 q^{32} + 14 q^{33} + 7 q^{34} + 21 q^{35} + 3 q^{36} - 24 q^{37} - 7 q^{38} - 40 q^{39} + 14 q^{40} + 28 q^{41} - 21 q^{42} + 10 q^{43} + 21 q^{44} + 7 q^{45} + 42 q^{46} - 70 q^{47} - 14 q^{48} + 84 q^{49} + 8 q^{50} + 60 q^{51} - 7 q^{52} + 26 q^{53} + 63 q^{54} + 56 q^{55} + 21 q^{56} - 33 q^{57} - 30 q^{58} - 7 q^{59} + 14 q^{60} + 14 q^{61} + 28 q^{62} - 14 q^{63} - 4 q^{64} - 21 q^{66} - 36 q^{67} - 14 q^{68} - 35 q^{69} + 14 q^{70} - 2 q^{72} - 7 q^{73} - 11 q^{74} - 28 q^{75} - 91 q^{77} - 24 q^{78} - 26 q^{79} + 55 q^{81} + 14 q^{82} - 7 q^{83} - 21 q^{84} + 49 q^{85} - 16 q^{86} + 35 q^{87} - 21 q^{88} - 56 q^{89} - 21 q^{90} + 7 q^{91} + 21 q^{92} + 72 q^{93} - 35 q^{94} - 14 q^{95} - 126 q^{97} - 56 q^{98} - 14 q^{99}+O(q^{100}) $ 24 * q - 2 * q^2 + 7 * q^3 + 2 * q^4 - 7 * q^6 + 4 * q^8 - 33 * q^9 - 7 * q^11 + 14 * q^13 - 7 * q^15 + 2 * q^16 - 7 * q^17 + 5 * q^18 - 7 * q^20 + 7 * q^21 - 7 * q^22 - 21 * q^23 + 4 * q^25 - 7 * q^26 - 35 * q^27 - 14 * q^28 - 11 * q^29 + 28 * q^31 - 2 * q^32 + 14 * q^33 + 7 * q^34 + 21 * q^35 + 3 * q^36 - 24 * q^37 - 7 * q^38 - 40 * q^39 + 14 * q^40 + 28 * q^41 - 21 * q^42 + 10 * q^43 + 21 * q^44 + 7 * q^45 + 42 * q^46 - 70 * q^47 - 14 * q^48 + 84 * q^49 + 8 * q^50 + 60 * q^51 - 7 * q^52 + 26 * q^53 + 63 * q^54 + 56 * q^55 + 21 * q^56 - 33 * q^57 - 30 * q^58 - 7 * q^59 + 14 * q^60 + 14 * q^61 + 28 * q^62 - 14 * q^63 - 4 * q^64 - 21 * q^66 - 36 * q^67 - 14 * q^68 - 35 * q^69 + 14 * q^70 - 2 * q^72 - 7 * q^73 - 11 * q^74 - 28 * q^75 - 91 * q^77 - 24 * q^78 - 26 * q^79 + 55 * q^81 + 14 * q^82 - 7 * q^83 - 21 * q^84 + 49 * q^85 - 16 * q^86 + 35 * q^87 - 21 * q^88 - 56 * q^89 - 21 * q^90 + 7 * q^91 + 21 * q^92 + 72 * q^93 - 35 * q^94 - 14 * q^95 - 126 * q^97 - 56 * q^98 - 14 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/98\mathbb{Z}\right)^\times$.

$n$	$3$
$\chi(n)$	$e\left(\frac{1}{21}\right)$

Coefficient data

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

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

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

$2$	0.733052	+	0.680173i	0.518346	+	0.480955i
$2$	0.733052	+	0.680173i	0.518346	+	0.480955i
$3$	0.532240	+	0.0802223i	0.307289	+	0.0463163i	0.300877	−	0.953663i	$-0.402721\pi$
$3$	0.532240	+	0.0802223i	0.307289	+	0.0463163i	0.00641230	+	0.999979i	$0.497959\pi$
$4$	0.0747301	+	0.997204i	0.0373650	+	0.498602i
$5$	0.459870	+	1.17173i	0.205660	+	0.524013i	0.996070	−	0.0885643i	$-0.0282279\pi$
$5$	0.459870	+	1.17173i	0.205660	+	0.524013i	−0.790410	+	0.612578i	$0.790133\pi$
$6$	0.335594	+	0.420822i	0.137006	+	0.171800i
$7$	−1.68832	−	2.03705i	−0.638124	−	0.769934i
$7$	−1.68832	−	2.03705i	−0.638124	−	0.769934i
$8$	−0.623490	+	0.781831i	−0.220437	+	0.276419i
$9$	−2.58987	−	0.798871i	−0.863292	−	0.266290i
$10$	−0.459870	+	1.17173i	−0.145424	+	0.370533i
$11$	5.54024	−	1.70894i	1.67044	−	0.515264i	0.692022	−	0.721877i	$-0.256720\pi$
$11$	5.54024	−	1.70894i	1.67044	−	0.515264i	0.978423	+	0.206613i	$0.0662440\pi$
$12$	−0.0402236	+	0.536747i	−0.0116116	+	0.154945i
$13$	−0.471031	+	2.06372i	−0.130640	+	0.572373i	0.866657	+	0.498904i	$0.166264\pi$
$13$	−0.471031	+	2.06372i	−0.130640	+	0.572373i	−0.997298	+	0.0734688i	$0.976593\pi$
$14$	0.147925	−	2.64161i	0.0395345	−	0.706001i
$15$	0.150762	+	0.660533i	0.0389267	+	0.170549i
$16$	−0.988831	+	0.149042i	−0.247208	+	0.0372606i
$17$	−6.62937	−	4.51983i	−1.60786	−	1.09622i	−0.933950	−	0.357403i	$-0.883662\pi$
$17$	−6.62937	−	4.51983i	−1.60786	−	1.09622i	−0.673908	−	0.738816i	$-0.735385\pi$
$18$	−1.35514	−	2.34718i	−0.319410	−	0.553235i
$19$	−1.31648	+	2.28021i	−0.302022	+	0.523117i	−0.976594	−	0.215092i	$-0.930995\pi$
$19$	−1.31648	+	2.28021i	−0.302022	+	0.523117i	0.674572	+	0.738209i	$0.264328\pi$
$20$	−1.13409	+	0.546148i	−0.253590	+	0.122122i
$21$	−0.735172	−	1.21964i	−0.160428	−	0.266148i
$22$	5.22365	+	2.51558i	1.11369	+	0.536323i
$23$	1.09005	−	0.743183i	0.227291	−	0.154964i	−0.444320	−	0.895868i	$-0.646555\pi$
$23$	1.09005	−	0.743183i	0.227291	−	0.154964i	0.671611	+	0.740904i	$0.265602\pi$
$24$	−0.394566	+	0.366104i	−0.0805405	+	0.0747307i
$25$	2.50379	−	2.32318i	0.500758	−	0.464635i
$26$	−1.74898	+	1.19243i	−0.343003	+	0.233855i
$27$	−2.76919	−	1.33357i	−0.532931	−	0.256646i
$28$	1.90519	−	1.83582i	0.360047	−	0.346938i
$29$	−0.191182	+	0.0920683i	−0.0355016	+	0.0170967i	−0.451550	−	0.892246i	$-0.649129\pi$
$29$	−0.191182	+	0.0920683i	−0.0355016	+	0.0170967i	0.416049	+	0.909342i	$0.363415\pi$
$30$	−0.338760	+	0.586749i	−0.0618488	+	0.107125i
$31$	1.96083	+	3.39625i	0.352175	+	0.609985i	0.986630	−	0.162975i	$-0.0521088\pi$
$31$	1.96083	+	3.39625i	0.352175	+	0.609985i	−0.634455	+	0.772960i	$0.718776\pi$
$32$	−0.826239	−	0.563320i	−0.146060	−	0.0995819i
$33$	3.08583	−	0.465114i	0.537174	−	0.0809660i
$34$	−1.78541	−	7.82238i	−0.306195	−	1.34153i
$35$	1.61047	−	2.91503i	0.272219	−	0.492730i
$36$	0.603095	−	2.64233i	0.100516	−	0.440389i
$37$	−0.571461	+	7.62562i	−0.0939477	+	1.25364i	0.728596	+	0.684943i	$0.240173\pi$
$37$	−0.571461	+	7.62562i	−0.0939477	+	1.25364i	−0.822544	+	0.568701i	$0.807446\pi$
$38$	−2.51599	+	0.776080i	−0.408147	+	0.125897i
$39$	−0.416258	+	1.06061i	−0.0666546	+	0.169833i
$40$	−1.20282	−	0.371021i	−0.190182	−	0.0586635i
$41$	−4.18126	+	5.24313i	−0.653002	+	0.818839i	−0.992561	−	0.121746i	$-0.961151\pi$
$41$	−4.18126	+	5.24313i	−0.653002	+	0.818839i	0.339559	+	0.940585i	$0.389722\pi$
$42$	0.290648	−	1.39410i	0.0448479	−	0.215115i
$43$	2.28771	+	2.86870i	0.348873	+	0.437473i	0.925046	−	0.379855i	$-0.124026\pi$
$43$	2.28771	+	2.86870i	0.348873	+	0.437473i	−0.576173	+	0.817328i	$0.695455\pi$
$44$	2.11818	+	5.39704i	0.319328	+	0.813634i
$45$	−0.254945	−	3.40201i	−0.0380050	−	0.507142i
$46$	1.30456	+	0.196630i	0.192346	+	0.0289915i
$47$	6.31247	+	5.85711i	0.920768	+	0.854348i	0.989683	−	0.143275i	$-0.0457632\pi$
$47$	6.31247	+	5.85711i	0.920768	+	0.854348i	−0.0689148	+	0.997623i	$0.521954\pi$
$48$	−0.538252			−0.0776899
$49$	−1.29917	+	6.87838i	−0.185596	+	0.982626i
$50$	3.41557			0.483034
$51$	−3.16582	−	2.93745i	−0.443304	−	0.411326i
$52$	−2.09315	−	0.315492i	−0.290268	−	0.0437508i
$53$	−0.378107	−	5.04549i	−0.0519370	−	0.693051i	−0.961028	−	0.276452i	$-0.910841\pi$
$53$	−0.378107	−	5.04549i	−0.0519370	−	0.693051i	0.909091	−	0.416598i	$-0.136778\pi$
$54$	−1.12290	−	2.86111i	−0.152808	−	0.389347i
$55$	4.55020	+	5.70577i	0.613549	+	0.769366i
$56$	2.64528	−	0.0498970i	0.353491	−	0.00666776i
$57$	−0.883608	+	1.10801i	−0.117037	+	0.146759i
$58$	−0.202769	−	0.0625458i	−0.0266248	−	0.00821267i
$59$	4.53197	−	11.5473i	0.590013	−	1.50333i	−0.254108	−	0.967176i	$-0.581782\pi$
$59$	4.53197	−	11.5473i	0.590013	−	1.50333i	0.844121	−	0.536152i	$-0.180123\pi$
$60$	−0.647420	+	0.199702i	−0.0835815	+	0.0257815i
$61$	−0.472890	+	6.31027i	−0.0605473	+	0.807948i	0.881439	+	0.472297i	$0.156575\pi$
$61$	−0.472890	+	6.31027i	−0.0605473	+	0.807948i	−0.941987	+	0.335650i	$0.891044\pi$
$62$	−0.872650	+	3.82333i	−0.110827	+	0.485564i
$63$	2.74519	+	6.62446i	0.345861	+	0.834603i
$64$	−0.222521	−	0.974928i	−0.0278151	−	0.121866i
$65$	−2.63474	+	0.397122i	−0.326799	+	0.0492570i
$66$	2.57843	+	1.75794i	0.317383	+	0.216388i
$67$	0.838966	+	1.45313i	0.102496	+	0.177528i	0.912712	−	0.408603i	$-0.133984\pi$
$67$	0.838966	+	1.45313i	0.102496	+	0.177528i	−0.810216	+	0.586131i	$0.800650\pi$
$68$	4.01177	−	6.94860i	0.486499	−	0.842641i
$69$	0.639788	−	0.308106i	0.0770214	−	0.0370915i
$70$	3.16328	−	1.04147i	0.378085	−	0.124480i
$71$	−1.73115	−	0.833679i	−0.205450	−	0.0989395i	0.328329	−	0.944563i	$-0.393514\pi$
$71$	−1.73115	−	0.833679i	−0.205450	−	0.0989395i	−0.533779	+	0.845624i	$0.679229\pi$
$72$	2.23934	−	1.52676i	0.263909	−	0.179930i
$73$	0.00982919	−	0.00912015i	0.00115042	−	0.00106743i	−0.679597	−	0.733585i	$-0.737845\pi$
$73$	0.00982919	−	0.00912015i	0.00115042	−	0.00106743i	0.680748	+	0.732518i	$0.261655\pi$
$74$	−5.60565	+	5.20128i	−0.651644	+	0.604637i
$75$	1.51899	−	1.03563i	0.175398	−	0.119584i
$76$	−2.37222	−	1.14240i	−0.272112	−	0.131042i
$77$	−12.8349	−	8.40053i	−1.46267	−	0.957330i
$78$	−1.02653	+	0.494353i	−0.116232	+	0.0559745i
$79$	2.39693	−	4.15161i	0.269676	−	0.467092i	−0.699102	−	0.715022i	$-0.746417\pi$
$79$	2.39693	−	4.15161i	0.269676	−	0.467092i	0.968778	+	0.247930i	$0.0797502\pi$
$80$	−0.629371	−	1.09010i	−0.0703658	−	0.121877i
$81$	5.35114	+	3.64834i	0.594571	+	0.405371i
$82$	−6.63131	+	0.999509i	−0.732306	+	0.110377i
$83$	−2.09213	−	9.16622i	−0.229641	−	1.00612i	−0.949933	−	0.312453i	$-0.898849\pi$
$83$	−2.09213	−	9.16622i	−0.229641	−	1.00612i	0.720292	−	0.693671i	$-0.244008\pi$
$84$	1.16129	−	0.824261i	0.126707	−	0.0899342i
$85$	2.24737	−	9.84636i	0.243761	−	1.06799i
$86$	−0.274200	+	3.65895i	−0.0295678	+	0.394555i
$87$	−0.109141	+	0.0336654i	−0.0117011	+	0.00360931i
$88$	−2.11818	+	5.39704i	−0.225799	+	0.575326i
$89$	3.24383	+	1.00059i	0.343845	+	0.106062i	0.461868	−	0.886949i	$-0.347179\pi$
$89$	3.24383	+	1.00059i	0.343845	+	0.106062i	−0.118023	+	0.993011i	$0.537656\pi$
$90$	2.12707	−	2.66726i	0.224212	−	0.281154i
$91$	4.99916	−	2.52470i	0.524054	−	0.264660i
$92$	0.822565	+	1.03146i	0.0857583	+	0.107538i
$93$	0.771176	+	1.96492i	0.0799672	+	0.203753i
$94$	0.643517	+	8.58714i	0.0663737	+	0.885696i
$95$	−3.27720	−	0.493959i	−0.336234	−	0.0506791i
$96$	−0.394566	−	0.366104i	−0.0402703	−	0.0373653i
$97$	−7.76637			−0.788555			−0.394278	−	0.918991i	$-0.629005\pi$
$97$	−7.76637			−0.788555			−0.394278	+	0.918991i	$0.629005\pi$
$98$	−5.63085	+	4.15855i	−0.568802	+	0.420077i
$99$	−15.7137			−1.57929
$100$	2.50379	+	2.32318i	0.250379	+	0.232318i
$101$	8.37836	+	1.26284i	0.833678	+	0.125657i	0.551992	−	0.833850i	$-0.313868\pi$
$101$	8.37836	+	1.26284i	0.833678	+	0.125657i	0.281687	+	0.959506i	$0.409106\pi$
$102$	−0.322736	−	4.30661i	−0.0319556	−	0.426418i
$103$	−5.67654	−	14.4636i	−0.559326	−	1.42514i	−0.878637	−	0.477490i	$-0.841547\pi$
$103$	−5.67654	−	14.4636i	−0.559326	−	1.42514i	0.319310	−	0.947650i	$-0.396549\pi$
$104$	−1.31980	−	1.65498i	−0.129417	−	0.162284i
$105$	1.09101	−	1.42230i	0.106471	−	0.138802i
$106$	3.15463	−	3.95578i	0.306405	−	0.384219i
$107$	−14.4617	−	4.46084i	−1.39806	−	0.431246i	−0.498066	−	0.867139i	$-0.665956\pi$
$107$	−14.4617	−	4.46084i	−1.39806	−	0.431246i	−0.899998	+	0.435894i	$0.856432\pi$
$108$	1.12290	−	2.86111i	0.108051	−	0.275310i
$109$	−9.77856	+	3.01629i	−0.936616	+	0.288908i	−0.725239	−	0.688497i	$-0.758271\pi$
$109$	−9.77856	+	3.01629i	−0.936616	+	0.288908i	−0.211377	+	0.977405i	$0.567795\pi$
$110$	−0.545377	+	7.27755i	−0.0519997	+	0.693887i
$111$	−0.915899	+	4.01282i	−0.0869333	+	0.380880i
$112$	1.97307	+	1.76267i	0.186437	+	0.166557i
$113$	−1.76014	−	7.71166i	−0.165580	−	0.725452i	−0.987729	−	0.156180i	$-0.950082\pi$
$113$	−1.76014	−	7.71166i	−0.165580	−	0.725452i	0.822149	−	0.569273i	$-0.192775\pi$
$114$	−1.40137	+	0.211222i	−0.131250	+	0.0197828i
$115$	1.37209	+	0.935476i	0.127948	+	0.0872336i
$116$	−0.106098	−	0.183767i	−0.00985095	−	0.0170623i
$117$	2.86856	−	4.96849i	0.265198	−	0.459337i
$118$	11.1763	−	5.38223i	1.02886	−	0.495475i
$119$	1.98534	+	21.1353i	0.181996	+	1.93747i
$120$	−0.610424	−	0.293965i	−0.0557239	−	0.0268352i
$121$	18.6851	−	12.7393i	1.69865	−	1.15812i
$122$	−4.63873	+	4.30411i	−0.419971	+	0.389676i
$123$	−2.64605	+	2.45517i	−0.238586	+	0.221375i
$124$	−3.24022	+	2.20915i	−0.290981	+	0.198387i
$125$	9.54399	+	4.59614i	0.853640	+	0.411092i
$126$	−2.49341	+	6.72327i	−0.222131	+	0.598957i
$127$	−10.7103	+	5.15783i	−0.950389	+	0.457683i	−0.843823	−	0.536622i	$-0.819700\pi$
$127$	−10.7103	+	5.15783i	−0.950389	+	0.457683i	−0.106567	+	0.994306i	$0.533986\pi$
$128$	0.500000	−	0.866025i	0.0441942	−	0.0765466i
$129$	0.987479	+	1.71036i	0.0869426	+	0.150589i
$130$	−2.20151	−	1.50096i	−0.193085	−	0.131643i
$131$	6.52336	−	0.983238i	0.569949	−	0.0859059i	0.142256	−	0.989830i	$-0.454565\pi$
$131$	6.52336	−	0.983238i	0.569949	−	0.0859059i	0.427693	+	0.903924i	$0.359326\pi$
$132$	0.694418	+	3.04244i	0.0604413	+	0.264811i
$133$	6.86756	−	1.16798i	0.595493	−	0.101277i
$134$	−0.373375	+	1.63586i	−0.0322547	+	0.141317i
$135$	0.289118	−	3.85801i	0.0248833	−	0.332045i
$136$	7.66709	−	2.36498i	0.657447	−	0.202796i
$137$	4.67202	−	11.9041i	0.399158	−	1.01704i	−0.580123	−	0.814529i	$-0.696996\pi$
$137$	4.67202	−	11.9041i	0.399158	−	1.01704i	0.979281	−	0.202508i	$-0.0649092\pi$
$138$	0.678563	+	0.209309i	0.0577631	+	0.0178176i
$139$	5.88533	−	7.37998i	0.499188	−	0.625961i	−0.466858	−	0.884332i	$-0.654614\pi$
$139$	5.88533	−	7.37998i	0.499188	−	0.625961i	0.966046	+	0.258371i	$0.0831856\pi$
$140$	3.02723	+	1.38813i	0.255848	+	0.117318i
$141$	2.88988	+	3.62379i	0.243371	+	0.305178i
$142$	−0.701978	−	1.78861i	−0.0589087	−	0.150097i
$143$	0.917146	+	12.2385i	0.0766956	+	1.02343i
$144$	2.68001	+	0.403947i	0.223334	+	0.0336623i
$145$	−0.195798	−	0.181674i	−0.0162601	−	0.0150872i
$146$	0.0134086			0.00110970
$147$	−1.24327	+	3.55673i	−0.102543	+	0.293354i
$148$	−7.64701			−0.628580
$149$	0.0236487	+	0.0219428i	0.00193738	+	0.00179762i	0.681141	−	0.732152i	$-0.261484\pi$
$149$	0.0236487	+	0.0219428i	0.00193738	+	0.00179762i	−0.679203	+	0.733950i	$0.737675\pi$
$150$	1.81790	+	0.274005i	0.148431	+	0.0223724i
$151$	1.39613	+	18.6301i	0.113616	+	1.51610i	0.704711	+	0.709495i	$0.251077\pi$
$151$	1.39613	+	18.6301i	0.113616	+	1.51610i	−0.591095	+	0.806602i	$0.701304\pi$
$152$	−0.961930	−	2.45096i	−0.0780228	−	0.198799i
$153$	13.5585	+	17.0018i	1.09614	+	1.37451i
$154$	−3.69481	−	14.8880i	−0.297736	−	1.19971i
$155$	−3.07776	+	3.85939i	−0.247212	+	0.309994i
$156$	−1.08875	−	0.335834i	−0.0871696	−	0.0268883i
$157$	−7.34242	+	18.7082i	−0.585989	+	1.49307i	0.263071	+	0.964777i	$0.415265\pi$
$157$	−7.34242	+	18.7082i	−0.585989	+	1.49307i	−0.849059	+	0.528298i	$0.822830\pi$
$158$	4.58088	−	1.41302i	0.364435	−	0.112413i
$159$	0.203517	−	2.71574i	0.0161399	−	0.215372i
$160$	0.280096	−	1.22718i	0.0221436	−	0.0970173i
$161$	−3.35425	−	0.965761i	−0.264352	−	0.0761126i
$162$	1.44116	+	6.31412i	0.113228	+	0.496084i
$163$	5.86188	−	0.883537i	0.459138	−	0.0692039i	0.0845991	−	0.996415i	$-0.473039\pi$
$163$	5.86188	−	0.883537i	0.459138	−	0.0692039i	0.374539	+	0.927211i	$0.377801\pi$
$164$	−5.54093	−	3.77774i	−0.432674	−	0.294992i
$165$	1.96407	+	3.40187i	0.152903	+	0.264835i
$166$	4.70097	−	8.14233i	0.364866	−	0.631967i
$167$	18.1506	−	8.74087i	1.40454	−	0.676389i	0.430460	−	0.902610i	$-0.358351\pi$
$167$	18.1506	−	8.74087i	1.40454	−	0.676389i	0.974076	+	0.226221i	$0.0726372\pi$
$168$	1.41193	+	0.185653i	0.108933	+	0.0143235i
$169$	7.67552	+	3.69634i	0.590425	+	0.284334i
$170$	8.34466	−	5.68929i	0.640006	−	0.436349i
$171$	5.23112	−	4.85377i	0.400034	−	0.371177i
$172$	−2.68972	+	2.49570i	−0.205089	+	0.190295i
$173$	−6.10235	+	4.16051i	−0.463953	+	0.316318i	−0.772638	−	0.634846i	$-0.781063\pi$
$173$	−6.10235	+	4.16051i	−0.463953	+	0.316318i	0.308685	+	0.951164i	$0.400111\pi$
$174$	−0.102904	−	0.0495559i	−0.00780113	−	0.00375683i
$175$	−8.95963	−	1.17809i	−0.677284	−	0.0890556i
$176$	−5.22365	+	2.51558i	−0.393748	+	0.189619i
$177$	3.33845	−	5.78236i	0.250933	−	0.434629i
$178$	1.69732	+	2.93985i	0.127220	+	0.220351i
$179$	−5.36480	−	3.65766i	−0.400984	−	0.273386i	0.345992	−	0.938238i	$-0.387543\pi$
$179$	−5.36480	−	3.65766i	−0.400984	−	0.273386i	−0.746976	+	0.664851i	$0.768495\pi$
$180$	3.37344	−	0.508465i	0.251442	−	0.0378987i
$181$	−4.39369	−	19.2500i	−0.326580	−	1.43084i	−0.825603	−	0.564252i	$-0.809165\pi$
$181$	−4.39369	−	19.2500i	−0.326580	−	1.43084i	0.499022	−	0.866589i	$-0.333693\pi$
$182$	5.38187	+	1.54956i	0.398931	+	0.114861i
$183$	−0.757915	+	3.32064i	−0.0560267	+	0.245469i
$184$	−0.0985908	+	1.31560i	−0.00726821	+	0.0969875i
$185$	−9.19797	+	2.83720i	−0.676248	+	0.208595i
$186$	−0.771176	+	1.96492i	−0.0565453	+	0.144075i
$187$	−44.4524	−	13.7117i	−3.25068	−	1.00270i
$188$	−5.36901	+	6.73252i	−0.391575	+	0.491020i
$189$	1.95871	+	7.89248i	0.142475	+	0.574094i
$190$	−2.06638	−	2.59116i	−0.149911	−	0.187983i
$191$	2.49244	+	6.35063i	0.180347	+	0.459515i	0.992247	−	0.124280i	$-0.0396622\pi$
$191$	2.49244	+	6.35063i	0.180347	+	0.459515i	−0.811901	+	0.583796i	$0.801567\pi$
$192$	−0.0402236	−	0.536747i	−0.00290289	−	0.0387364i
$193$	−14.7436	−	2.22223i	−1.06126	−	0.159960i	−0.404867	−	0.914375i	$-0.632682\pi$
$193$	−14.7436	−	2.22223i	−1.06126	−	0.159960i	−0.656397	+	0.754416i	$0.727920\pi$
$194$	−5.69315	−	5.28247i	−0.408745	−	0.379259i
$195$	−1.43417			−0.102703
$196$	−6.95624	−	0.781519i	−0.496874	−	0.0558228i
$197$	17.0370			1.21383			0.606916	−	0.794766i	$-0.292406\pi$
$197$	17.0370			1.21383			0.606916	+	0.794766i	$0.292406\pi$
$198$	−11.5190	−	10.6881i	−0.818619	−	0.759567i
$199$	10.6786	+	1.60954i	0.756988	+	0.114098i	0.516186	−	0.856477i	$-0.327351\pi$
$199$	10.6786	+	1.60954i	0.756988	+	0.114098i	0.240802	+	0.970574i	$0.422589\pi$
$200$	0.255246	+	3.40602i	0.0180486	+	0.240842i
$201$	0.329958	+	0.840719i	0.0232734	+	0.0592997i
$202$	5.28283	+	6.62446i	0.371699	+	0.466095i
$203$	0.510324	+	0.234007i	0.0358177	+	0.0164241i
$204$	2.69266	−	3.37649i	0.188524	−	0.236401i
$205$	−8.06636	−	2.48814i	−0.563379	−	0.173779i
$206$	5.67654	−	14.4636i	0.395504	−	1.00773i
$207$	−3.41680	+	1.05394i	−0.237484	+	0.0732541i
$208$	0.158188	−	2.11087i	0.0109684	−	0.146363i
$209$	−3.39688	+	14.8827i	−0.234967	+	1.02946i
$210$	1.76717	−	0.300547i	0.121947	−	0.0207397i
$211$	−1.15716	−	5.06984i	−0.0796620	−	0.349022i	0.919351	−	0.393438i	$-0.128714\pi$
$211$	−1.15716	−	5.06984i	−0.0796620	−	0.349022i	−0.999013	+	0.0444161i	$0.985857\pi$
$212$	5.00312	−	0.754099i	0.343616	−	0.0517918i
$213$	−0.854508	−	0.582594i	−0.0585500	−	0.0399187i
$214$	−7.56702	−	13.1065i	−0.517271	−	0.895940i
$215$	−2.30929	+	3.99981i	−0.157492	+	0.272785i
$216$	2.76919	−	1.33357i	0.188420	−	0.0907381i
$217$	3.60785	−	9.72826i	0.244917	−	0.660397i
$218$	−9.21979	−	4.44002i	−0.624443	−	0.300716i
$219$	0.00596312	−	0.00406559i	0.000402951	−	0.000274727i
$220$	−5.34978	+	4.96387i	−0.360682	+	0.334664i
$221$	12.4503	−	11.5522i	0.837497	−	0.777084i
$222$	−3.40081	+	2.31863i	−0.228247	+	0.155616i
$223$	−17.1860	−	8.27633i	−1.15086	−	0.554224i	−0.241566	−	0.970384i	$-0.577661\pi$
$223$	−17.1860	−	8.27633i	−1.15086	−	0.554224i	−0.909291	+	0.416160i	$0.863375\pi$
$224$	0.247440	+	2.63416i	0.0165327	+	0.176002i
$225$	−8.34042	+	4.01653i	−0.556028	+	0.267769i
$226$	3.95499	−	6.85025i	0.263082	−	0.455672i
$227$	2.67401	+	4.63152i	0.177480	+	0.307405i	0.941017	−	0.338360i	$-0.109872\pi$
$227$	2.67401	+	4.63152i	0.177480	+	0.307405i	−0.763537	+	0.645765i	$0.776539\pi$
$228$	−1.17094	−	0.798336i	−0.0775476	−	0.0528711i
$229$	27.3615	−	4.12408i	1.80810	−	0.272527i	0.843668	−	0.536865i	$-0.180392\pi$
$229$	27.3615	−	4.12408i	1.80810	−	0.272527i	0.964430	+	0.264338i	$0.0851536\pi$
$230$	0.369529	+	1.61901i	0.0243660	+	0.106754i
$231$	−6.15732	−	5.50074i	−0.405122	−	0.361922i
$232$	0.0472180	−	0.206876i	0.00310001	−	0.0135821i
$233$	−1.28486	+	17.1452i	−0.0841739	+	1.12322i	0.781933	+	0.623363i	$0.214234\pi$
$233$	−1.28486	+	17.1452i	−0.0841739	+	1.12322i	−0.866107	+	0.499859i	$0.833385\pi$
$234$	5.48223	−	1.69104i	0.358385	−	0.110547i
$235$	−3.96004	+	10.0900i	−0.258325	+	0.658200i
$236$	11.8537	+	3.65637i	0.771608	+	0.238010i
$237$	1.60879	−	2.01736i	0.104502	−	0.131042i
$238$	−12.9203	+	16.8436i	−0.837497	+	1.09181i
$239$	−0.942997	−	1.18248i	−0.0609974	−	0.0764883i	0.750397	−	0.660988i	$-0.229862\pi$
$239$	−0.942997	−	1.18248i	−0.0609974	−	0.0764883i	−0.811394	+	0.584499i	$0.801291\pi$
$240$	−0.247526	−	0.630685i	−0.0159777	−	0.0407106i
$241$	−1.30246	−	17.3801i	−0.0838987	−	1.11955i	−0.867217	−	0.497930i	$-0.834094\pi$
$241$	−1.30246	−	17.3801i	−0.0838987	−	1.11955i	0.783319	−	0.621620i	$-0.213525\pi$
$242$	22.3621	+	3.37055i	1.43749	+	0.216667i
$243$	9.31467	+	8.64275i	0.597536	+	0.554433i
$244$	−6.32797			−0.405107
$245$	−8.65706	+	1.64088i	−0.553079	+	0.104832i
$246$	−3.60963			−0.230142
$247$	−4.08562	−	3.79090i	−0.259962	−	0.241209i
$248$	−3.87785	−	0.584492i	−0.246244	−	0.0371153i
$249$	−0.378180	−	5.04646i	−0.0239662	−	0.319807i
$250$	3.87007	+	9.86077i	0.244765	+	0.623650i
$251$	6.90307	+	8.65617i	0.435718	+	0.546373i	0.950409	−	0.311003i	$-0.100665\pi$
$251$	6.90307	+	8.65617i	0.435718	+	0.546373i	−0.514691	+	0.857376i	$0.672093\pi$
$252$	−6.40079	+	3.23256i	−0.403212	+	0.203632i
$253$	4.76908	−	5.98024i	0.299830	−	0.375974i
$254$	−11.3595	−	3.50393i	−0.712755	−	0.219856i
$255$	1.98604	−	5.06034i	0.124370	−	0.316891i
$256$	0.955573	−	0.294755i	0.0597233	−	0.0184222i
$257$	0.780496	−	10.4150i	0.0486860	−	0.649669i	−0.918471	−	0.395489i	$-0.870575\pi$
$257$	0.780496	−	10.4150i	0.0486860	−	0.649669i	0.967157	−	0.254181i	$-0.0818057\pi$
$258$	−0.439469	+	1.92544i	−0.0273602	+	0.119873i
$259$	16.4986	−	11.7104i	1.02517	−	0.727647i
$260$	−0.592906	−	2.59769i	−0.0367705	−	0.161102i
$261$	0.568688	−	0.0857159i	0.0352009	−	0.00530568i
$262$	5.45073	+	3.71625i	0.336747	+	0.229590i
$263$	7.63814	+	13.2296i	0.470988	+	0.815775i	0.999449	−	0.0331826i	$-0.0105643\pi$
$263$	7.63814	+	13.2296i	0.470988	+	0.815775i	−0.528462	+	0.848957i	$0.677231\pi$
$264$	−1.56034	+	2.70259i	−0.0960325	+	0.166333i
$265$	5.73807	−	2.76331i	0.352487	−	0.169749i
$266$	5.82870	+	3.81494i	0.357381	+	0.233909i
$267$	1.64623	+	0.792781i	0.100747	+	0.0485174i
$268$	−1.38637	+	0.945213i	−0.0846862	+	0.0577381i
$269$	−7.00276	+	6.49761i	−0.426966	+	0.396166i	−0.864173	−	0.503194i	$-0.832158\pi$
$269$	−7.00276	+	6.49761i	−0.426966	+	0.396166i	0.437208	+	0.899361i	$0.355967\pi$
$270$	2.83605	−	2.63147i	0.172597	−	0.160146i
$271$	−15.8237	+	10.7884i	−0.961221	+	0.655350i	−0.938823	−	0.344400i	$-0.888083\pi$
$271$	−15.8237	+	10.7884i	−0.961221	+	0.655350i	−0.0223981	+	0.999749i	$0.507130\pi$
$272$	7.22897	+	3.48129i	0.438321	+	0.211084i
$273$	2.86329	−	0.942702i	0.173294	−	0.0570549i
$274$	11.5217	−	5.54855i	0.696050	−	0.335200i
$275$	9.90143	−	17.1498i	0.597078	−	1.03417i
$276$	0.355055	+	0.614974i	0.0213718	+	0.0370171i
$277$	−4.08268	−	2.78353i	−0.245305	−	0.167246i	0.434426	−	0.900707i	$-0.356951\pi$
$277$	−4.08268	−	2.78353i	−0.245305	−	0.167246i	−0.679731	+	0.733461i	$0.737904\pi$
$278$	9.33391	−	1.40686i	0.559811	−	0.0843779i
$279$	−2.36513	−	10.3623i	−0.141597	−	0.620376i
$280$	1.27495	+	3.07661i	0.0761929	+	0.183862i
$281$	−1.45969	+	6.39531i	−0.0870777	+	0.381512i	−0.999623	−	0.0274638i	$-0.991257\pi$
$281$	−1.45969	+	6.39531i	−0.0870777	+	0.381512i	0.912545	+	0.408976i	$0.134114\pi$
$282$	−0.346374	+	4.62204i	−0.0206263	+	0.275239i
$283$	−0.0891534	+	0.0275002i	−0.00529962	+	0.00163472i	−0.297404	−	0.954752i	$-0.596121\pi$
$283$	−0.0891534	+	0.0275002i	−0.00529962	+	0.00163472i	0.292104	+	0.956386i	$0.405645\pi$
$284$	0.701978	−	1.78861i	0.0416548	−	0.106135i
$285$	−1.70463	−	0.525810i	−0.100974	−	0.0311463i
$286$	−7.65195	+	9.59525i	−0.452470	+	0.567379i
$287$	17.7398	−	0.334620i	1.04715	−	0.0197520i
$288$	1.68984	+	2.11899i	0.0995745	+	0.124862i
$289$	17.3089	+	44.1023i	1.01817	+	2.59425i
$290$	−0.0199604	−	0.266353i	−0.00117211	−	0.0156408i
$291$	−4.13357	−	0.623036i	−0.242314	−	0.0365230i
$292$	0.00982919	+	0.00912015i	0.000575210	+	0.000533717i
$293$	−28.4218			−1.66042			−0.830211	−	0.557450i	$-0.811780\pi$
$293$	−28.4218			−1.66042			−0.830211	+	0.557450i	$0.811780\pi$
$294$	−3.33057	+	1.76163i	−0.194243	+	0.102740i
$295$	15.6144			0.909106
$296$	−5.60565	−	5.20128i	−0.325822	−	0.302319i
$297$	−17.6210	−	2.65593i	−1.02247	−	0.154113i
$298$	0.00241084	+	0.0321704i	0.000139656	+	0.00186358i
$299$	1.02028	+	2.59962i	0.0590041	+	0.150340i
$300$	1.14625	+	1.43735i	0.0661785	+	0.0829853i
$301$	1.98131	−	9.50347i	0.114201	−	0.547771i
$302$	−11.6483	+	14.6064i	−0.670282	+	0.840506i
$303$	4.35799	+	1.34426i	0.250360	+	0.0772259i
$304$	0.961930	−	2.45096i	0.0551705	−	0.140572i
$305$	−7.61140	+	2.34781i	−0.435828	+	0.134435i
$306$	−1.62509	+	21.6853i	−0.0929001	+	1.23967i
$307$	1.99247	−	8.72957i	0.113716	−	0.498223i	−0.885706	−	0.464246i	$-0.846325\pi$
$307$	1.99247	−	8.72957i	0.113716	−	0.498223i	0.999423	−	0.0339773i	$-0.0108174\pi$
$308$	7.41789	−	13.4268i	0.422674	−	0.765060i
$309$	−1.86098	−	8.15349i	−0.105867	−	0.463836i
$310$	−4.88122	+	0.735725i	−0.277234	+	0.0417864i
$311$	−6.57608	−	4.48349i	−0.372895	−	0.254236i	0.362343	−	0.932045i	$-0.381977\pi$
$311$	−6.57608	−	4.48349i	−0.372895	−	0.254236i	−0.735238	+	0.677809i	$0.762929\pi$
$312$	−0.569684	−	0.986721i	−0.0322520	−	0.0558621i
$313$	−1.99065	+	3.44790i	−0.112518	+	0.194887i	−0.916785	−	0.399381i	$-0.869225\pi$
$313$	−1.99065	+	3.44790i	−0.112518	+	0.194887i	0.804267	+	0.594268i	$0.202558\pi$
$314$	−18.1072	+	8.71995i	−1.02185	+	0.492095i
$315$	−6.49965	+	6.26301i	−0.366214	+	0.352880i
$316$	4.31912	+	2.07998i	0.242969	+	0.117008i
$317$	−2.62705	+	1.79109i	−0.147550	+	0.100598i	−0.634845	−	0.772640i	$-0.718936\pi$
$317$	−2.62705	+	1.79109i	−0.147550	+	0.100598i	0.487295	+	0.873237i	$0.337984\pi$
$318$	1.99636	−	1.85235i	0.111950	−	0.103875i
$319$	−0.901854	+	0.836798i	−0.0504941	+	0.0468517i
$320$	1.04002	−	0.709074i	0.0581390	−	0.0396385i
$321$	−7.33923	−	3.53438i	−0.409636	−	0.197270i
$322$	−1.80196	−	2.98942i	−0.100419	−	0.166594i
$323$	19.0336	−	9.16611i	1.05906	−	0.510016i
$324$	−3.23825	+	5.60881i	−0.179903	+	0.311601i
$325$	3.61503	+	6.26141i	0.200526	+	0.347321i
$326$	4.89802	+	3.33942i	0.271276	+	0.184953i
$327$	−5.44651	+	0.820930i	−0.301193	+	0.0453975i
$328$	−1.49227	−	6.53807i	−0.0823970	−	0.361005i
$329$	1.27381	−	22.7475i	0.0702275	−	1.25411i
$330$	−0.874093	+	3.82965i	−0.0481172	+	0.210815i
$331$	−1.21590	+	16.2250i	−0.0668318	+	0.891808i	0.858540	+	0.512747i	$0.171372\pi$
$331$	−1.21590	+	16.2250i	−0.0668318	+	0.891808i	−0.925372	+	0.379061i	$0.876247\pi$
$332$	8.98425	−	2.77127i	0.493075	−	0.152093i
$333$	7.57190	−	19.2929i	0.414938	−	1.05724i
$334$	19.2506	+	5.93803i	1.05335	+	0.324915i
$335$	−1.31686	+	1.65129i	−0.0719479	+	0.0902198i
$336$	0.908739	+	1.09645i	0.0495758	+	0.0598161i
$337$	0.854059	+	1.07096i	0.0465236	+	0.0583387i	0.804549	−	0.593886i	$-0.202407\pi$
$337$	0.854059	+	1.07096i	0.0465236	+	0.0583387i	−0.758025	+	0.652225i	$0.773836\pi$
$338$	3.11241	+	7.93029i	0.169293	+	0.431351i
$339$	−0.318168	−	4.24566i	−0.0172805	−	0.230592i
$340$	9.98677	+	1.50526i	0.541609	+	0.0816344i
$341$	16.6674	+	15.4651i	0.902592	+	0.837483i
$342$	7.13608			0.385875
$343$	16.2051	−	8.96640i	0.874990	−	0.484140i
$344$	−3.66921			−0.197830
$345$	0.655236	+	0.607970i	0.0352767	+	0.0327320i
$346$	−7.30320	−	1.10078i	−0.392623	−	0.0591783i
$347$	−0.712827	−	9.51201i	−0.0382665	−	0.510632i	−0.983099	−	0.183077i	$-0.941394\pi$
$347$	−0.712827	−	9.51201i	−0.0382665	−	0.510632i	0.944832	−	0.327555i	$-0.106225\pi$
$348$	−0.0417273	−	0.106320i	−0.00223682	−	0.00569933i
$349$	−14.8186	−	18.5819i	−0.793219	−	0.994666i	−0.999868	−	0.0162504i	$-0.994827\pi$
$349$	−14.8186	−	18.5819i	−0.793219	−	0.994666i	0.206649	−	0.978415i	$-0.433744\pi$
$350$	−5.76656	−	6.95770i	−0.308236	−	0.371905i
$351$	4.05650	−	5.08668i	0.216520	−	0.271507i
$352$	−5.54024	−	1.70894i	−0.295296	−	0.0910867i
$353$	−0.773842	+	1.97172i	−0.0411875	+	0.104944i	−0.949987	−	0.312288i	$-0.898905\pi$
$353$	−0.773842	+	1.97172i	−0.0411875	+	0.104944i	0.908800	+	0.417232i	$0.137000\pi$
$354$	6.38026	−	1.96805i	0.339107	−	0.104601i
$355$	0.180741	−	2.41183i	0.00959275	−	0.128006i
$356$	−0.755379	+	3.30953i	−0.0400350	+	0.175405i
$357$	−0.638840	+	11.4083i	−0.0338110	+	0.603791i
$358$	−1.44484	−	6.33024i	−0.0763620	−	0.334564i
$359$	−28.8189	+	4.34375i	−1.52100	+	0.229254i	−0.855760	−	0.517373i	$-0.826910\pi$
$359$	−28.8189	+	4.34375i	−1.52100	+	0.229254i	−0.665243	+	0.746627i	$0.731672\pi$
$360$	2.81875	+	1.92179i	0.148561	+	0.101287i
$361$	6.03375	+	10.4508i	0.317566	+	0.550040i
$362$	9.87253	−	17.0997i	0.518888	−	0.898741i
$363$	10.9670	−	5.28141i	0.575616	−	0.277202i
$364$	2.89123	+	4.79651i	0.151541	+	0.251405i
$365$	0.0152065	+	0.00732306i	0.000795945	+	0.000383307i
$366$	−2.81420	+	1.91869i	−0.147101	+	0.100292i
$367$	1.93296	−	1.79352i	0.100899	−	0.0936210i	−0.628110	−	0.778124i	$-0.716171\pi$
$367$	1.93296	−	1.79352i	0.100899	−	0.0936210i	0.729010	+	0.684503i	$0.239981\pi$
$368$	−0.967109	+	0.897346i	−0.0504140	+	0.0467774i
$369$	15.0175	−	10.2388i	0.781780	−	0.533009i
$370$	−8.67237	−	4.17639i	−0.450855	−	0.217120i
$371$	−9.63956	+	9.28860i	−0.500461	+	0.482240i
$372$	−1.90180	+	0.915858i	−0.0986037	+	0.0474850i
$373$	−13.4130	+	23.2320i	−0.694500	+	1.20291i	0.275849	+	0.961201i	$0.411041\pi$
$373$	−13.4130	+	23.2320i	−0.694500	+	1.20291i	−0.970349	+	0.241708i	$0.922292\pi$
$374$	−23.2595	−	40.2867i	−1.20272	−	2.08318i
$375$	4.71098	+	3.21189i	0.243274	+	0.165861i
$376$	−8.51504	+	1.28344i	−0.439129	+	0.0661881i
$377$	−0.0999508	−	0.437913i	−0.00514773	−	0.0225537i
$378$	−3.93241	+	7.11786i	−0.202262	+	0.366103i
$379$	−0.459992	+	2.01536i	−0.0236282	+	0.103522i	−0.985367	−	0.170446i	$-0.945479\pi$
$379$	−0.459992	+	2.01536i	−0.0236282	+	0.103522i	0.961739	+	0.273968i	$0.0883363\pi$
$380$	0.247672	−	3.30495i	0.0127053	−	0.169541i
$381$	−6.11424	+	1.88599i	−0.313242	+	0.0966224i
$382$	−2.49244	+	6.35063i	−0.127524	+	0.324926i
$383$	7.44209	+	2.29558i	0.380273	+	0.117299i	0.478998	−	0.877816i	$-0.341000\pi$
$383$	7.44209	+	2.29558i	0.380273	+	0.117299i	−0.0987247	+	0.995115i	$0.531476\pi$
$384$	0.335594	−	0.420822i	0.0171257	−	0.0214750i
$385$	3.94078	−	18.9022i	0.200841	−	0.963343i
$386$	−9.29629	−	11.6572i	−0.473169	−	0.593335i
$387$	−3.63317	−	9.25717i	−0.184684	−	0.470568i
$388$	−0.580382	−	7.74465i	−0.0294644	−	0.393175i
$389$	−21.5092	−	3.24198i	−1.09056	−	0.164375i	−0.420945	−	0.907086i	$-0.638302\pi$
$389$	−21.5092	−	3.24198i	−1.09056	−	0.164375i	−0.669612	+	0.742711i	$0.733540\pi$
$390$	−1.05132	−	0.975483i	−0.0532357	−	0.0493955i
$391$	−10.5854			−0.535327
$392$	−4.56771	−	5.30434i	−0.230704	−	0.267909i
$393$	3.55087			0.179118
$394$	12.4890	+	11.5881i	0.629185	+	0.583799i
$395$	5.96684	+	0.899356i	0.300224	+	0.0452515i
$396$	−1.17429	−	15.6698i	−0.0590103	−	0.787437i
$397$	0.855791	+	2.18052i	0.0429509	+	0.109437i	0.950740	−	0.309991i	$-0.100326\pi$
$397$	0.855791	+	2.18052i	0.0429509	+	0.109437i	−0.907789	+	0.419428i	$0.862231\pi$
$398$	6.73322	+	8.44319i	0.337506	+	0.423219i
$399$	3.74889	−	0.0707139i	0.187679	−	0.00354012i
$400$	−2.12957	+	2.67040i	−0.106479	+	0.133520i
$401$	−26.1849	−	8.07698i	−1.30761	−	0.403345i	−0.438844	−	0.898563i	$-0.644612\pi$
$401$	−26.1849	−	8.07698i	−1.30761	−	0.403345i	−0.868769	+	0.495218i	$0.835088\pi$
$402$	−0.329958	+	0.840719i	−0.0164568	+	0.0419312i
$403$	−7.93253	+	2.44686i	−0.395147	+	0.121887i
$404$	−0.633188	+	8.44931i	−0.0315023	+	0.420369i
$405$	−1.81404	+	7.94785i	−0.0901406	+	0.394932i
$406$	0.214928	+	0.518648i	0.0106667	+	0.0257400i
$407$	9.86568	+	43.2244i	0.489023	+	2.14255i
$408$	4.27045	−	0.643667i	0.211419	−	0.0318663i
$409$	−2.34543	−	1.59909i	−0.115974	−	0.0790697i	0.503944	−	0.863736i	$-0.331882\pi$
$409$	−2.34543	−	1.59909i	−0.115974	−	0.0790697i	−0.619918	+	0.784667i	$0.712834\pi$
$410$	−4.22070	−	7.31046i	−0.208445	−	0.361038i
$411$	3.44161	−	5.96104i	0.169762	−	0.294037i
$412$	13.9989	−	6.74154i	0.689679	−	0.332132i
$413$	−31.1738	+	10.2636i	−1.53396	+	0.505038i
$414$	−3.22155	−	1.55142i	−0.158331	−	0.0762481i
$415$	9.77823	−	6.66668i	0.479994	−	0.327255i
$416$	1.55172	−	1.43978i	0.0760793	−	0.0705913i
$417$	3.72445	−	3.45578i	0.182387	−	0.169230i
$418$	−12.6129	+	8.59933i	−0.616917	+	0.420607i
$419$	5.99424	+	2.88668i	0.292838	+	0.141023i	0.574535	−	0.818480i	$-0.305183\pi$
$419$	5.99424	+	2.88668i	0.292838	+	0.141023i	−0.281697	+	0.959503i	$0.590897\pi$
$420$	1.49985	+	0.981667i	0.0731854	+	0.0479005i
$421$	24.5144	−	11.8055i	1.19476	−	0.575367i	0.272583	−	0.962132i	$-0.412122\pi$
$421$	24.5144	−	11.8055i	1.19476	−	0.575367i	0.922178	+	0.386766i	$0.126408\pi$
$422$	2.60011	−	4.50352i	0.126571	−	0.219228i
$423$	−11.6694	−	20.2120i	−0.567387	−	0.982743i
$424$	4.18047	+	2.85019i	0.203021	+	0.138418i
$425$	−27.0989	+	4.08450i	−1.31449	+	0.198127i
$426$	−0.230134	−	1.00828i	−0.0111501	−	0.0488516i
$427$	13.6527	−	9.69044i	0.660703	−	0.468953i
$428$	3.36764	−	14.7546i	0.162781	−	0.713191i
$429$	−0.493655	+	6.58737i	−0.0238339	+	0.318041i
$430$	−4.41339	+	1.36135i	−0.212833	+	0.0656502i
$431$	7.97128	−	20.3105i	0.383963	−	0.978322i	−0.600008	−	0.799994i	$-0.704836\pi$
$431$	7.97128	−	20.3105i	0.383963	−	0.978322i	0.983971	−	0.178328i	$-0.0570689\pi$
$432$	2.93702	+	0.905951i	0.141307	+	0.0435876i
$433$	−23.3424	+	29.2704i	−1.12176	+	1.40665i	−0.219417	+	0.975631i	$0.570416\pi$
$433$	−23.3424	+	29.2704i	−1.12176	+	1.40665i	−0.902345	+	0.431014i	$0.858156\pi$
$434$	9.26164	−	4.67736i	0.444573	−	0.224520i
$435$	−0.0896372	−	0.112401i	−0.00429777	−	0.00538924i
$436$	−3.73861	−	9.52581i	−0.179047	−	0.456204i
$437$	0.259586	+	3.46393i	0.0124177	+	0.165702i
$438$	0.00713658	+	0.00107567i	0.000340999	+	5.13973e-5i
$439$	5.93824	+	5.50988i	0.283417	+	0.262972i	0.809051	−	0.587738i	$-0.199982\pi$
$439$	5.93824	+	5.50988i	0.283417	+	0.262972i	−0.525634	+	0.850711i	$0.676172\pi$
$440$	−7.29796			−0.347916
$441$	8.85964	−	16.7763i	0.421887	−	0.798870i
$442$	16.9842			0.807856
$443$	5.65163	+	5.24395i	0.268517	+	0.249147i	0.802926	−	0.596079i	$-0.203275\pi$
$443$	5.65163	+	5.24395i	0.268517	+	0.249147i	−0.534409	+	0.845226i	$0.679466\pi$
$444$	−4.07004	−	0.613460i	−0.193156	−	0.0291135i
$445$	0.319320	+	4.26103i	0.0151372	+	0.201992i
$446$	−6.96888	−	17.7564i	−0.329986	−	0.840790i
$447$	0.0108265	+	0.0135760i	0.000512075	+	0.000642122i
$448$	−1.61029	+	2.09927i	−0.0760793	+	0.0991814i
$449$	7.02792	−	8.81273i	0.331668	−	0.415898i	−0.587835	−	0.808980i	$-0.700020\pi$
$449$	7.02792	−	8.81273i	0.331668	−	0.415898i	0.919503	+	0.393082i	$0.128591\pi$
$450$	−8.84590	−	2.72860i	−0.417000	−	0.128627i
$451$	−14.2050	+	36.1937i	−0.668886	+	1.70429i
$452$	7.55856	−	2.33151i	0.355525	−	0.109665i
$453$	−0.751471	+	10.0277i	−0.0353072	+	0.471142i
$454$	−1.19005	+	5.21393i	−0.0558516	+	0.244702i
$455$	5.25723	+	4.69663i	0.246463	+	0.220181i
$456$	−0.315356	−	1.38167i	−0.0147679	−	0.0647024i
$457$	36.4537	−	5.49451i	1.70523	−	0.257022i	0.777128	−	0.629343i	$-0.216676\pi$
$457$	36.4537	−	5.49451i	1.70523	−	0.257022i	0.928104	+	0.372321i	$0.121438\pi$
$458$	22.8625	+	15.5874i	1.06829	+	0.728350i
$459$	12.3305	+	21.3570i	0.575537	+	0.996860i
$460$	−0.830324	+	1.43816i	−0.0387140	+	0.0670547i
$461$	1.36523	−	0.657462i	0.0635853	−	0.0306211i	−0.401821	−	0.915718i	$-0.631623\pi$
$461$	1.36523	−	0.657462i	0.0635853	−	0.0306211i	0.465406	+	0.885097i	$0.345908\pi$
$462$	−0.772181	−	8.22037i	−0.0359251	−	0.382446i
$463$	−2.32835	−	1.12127i	−0.108208	−	0.0521100i	0.378997	−	0.925398i	$-0.376269\pi$
$463$	−2.32835	−	1.12127i	−0.108208	−	0.0521100i	−0.487205	+	0.873288i	$0.661983\pi$
$464$	0.175324	−	0.119534i	0.00813923	−	0.00554924i
$465$	−1.94772	+	1.80722i	−0.0903233	+	0.0838078i
$466$	−12.6036	+	11.6944i	−0.583850	+	0.541734i
$467$	−0.175721	+	0.119805i	−0.00813141	+	0.00554390i	−0.567379	−	0.823457i	$-0.692043\pi$
$467$	−0.175721	+	0.119805i	−0.00813141	+	0.00554390i	0.559248	+	0.829001i	$0.311090\pi$
$468$	5.16896	+	2.48924i	0.238935	+	0.115065i
$469$	1.54367	−	4.16237i	0.0712800	−	0.192200i
$470$	−9.76587	+	4.70300i	−0.450466	+	0.216933i
$471$	−5.40874	+	9.36821i	−0.249221	+	0.431664i
$472$	6.20239	+	10.7429i	0.285488	+	0.494480i
$473$	17.5769	+	11.9837i	0.808187	+	0.551013i
$474$	2.55148	−	0.384574i	0.117194	−	0.0176641i
$475$	2.00115	+	8.76760i	0.0918189	+	0.402285i
$476$	−20.9278	+	3.55923i	−0.959225	+	0.163137i
$477$	−3.05144	+	13.3692i	−0.139716	+	0.612135i
$478$	0.113026	−	1.50822i	0.00516967	−	0.0689844i
$479$	12.3735	−	3.81671i	0.565358	−	0.174390i	0.00111603	−	0.999999i	$-0.499645\pi$
$479$	12.3735	−	3.81671i	0.565358	−	0.174390i	0.564242	+	0.825610i	$0.309169\pi$
$480$	0.247526	−	0.630685i	0.0112980	−	0.0287867i
$481$	−15.4680	−	4.77124i	−0.705279	−	0.217550i
$482$	10.8667	−	13.6264i	0.494964	−	0.620666i
$483$	−1.70779	−	0.783102i	−0.0777072	−	0.0356324i
$484$	14.1000	+	17.6809i	0.640911	+	0.803677i
$485$	−3.57152	−	9.10009i	−0.162174	−	0.413214i
$486$	0.949573	+	12.6712i	0.0430735	+	0.574776i
$487$	11.4577	+	1.72697i	0.519197	+	0.0782564i	0.403413	−	0.915018i	$-0.367824\pi$
$487$	11.4577	+	1.72697i	0.519197	+	0.0782564i	0.115784	+	0.993274i	$0.463062\pi$
$488$	−4.63873	−	4.30411i	−0.209985	−	0.194838i
$489$	3.19081			0.144293
$490$	−7.46215	−	4.68544i	−0.337106	−	0.211667i
$491$	−28.5953			−1.29049			−0.645245	−	0.763976i	$-0.723245\pi$
$491$	−28.5953			−1.29049			−0.645245	+	0.763976i	$0.723245\pi$
$492$	−2.64605	−	2.45517i	−0.119293	−	0.110688i
$493$	1.68355	+	0.253754i	0.0758232	+	0.0114285i
$494$	−0.416504	−	5.55786i	−0.0187394	−	0.250060i
$495$	−7.22628	−	18.4123i	−0.324797	−	0.827569i
$496$	−2.44511	−	3.06607i	−0.109789	−	0.137671i
$497$	1.22448	+	4.93396i	0.0549256	+	0.221318i
$498$	3.15524	−	3.95655i	0.141390	−	0.177297i
$499$	26.1204	+	8.05708i	1.16931	+	0.360684i	0.817802	−	0.575500i	$-0.195193\pi$
$499$	26.1204	+	8.05708i	1.16931	+	0.360684i	0.351509	+	0.936185i	$0.385669\pi$
$500$	−3.87007	+	9.86077i	−0.173075	+	0.440987i
$501$	10.3617	−	3.19616i	0.462926	−	0.142794i
$502$	−0.827386	+	11.0407i	−0.0369280	+	0.492771i
$503$	8.05847	−	35.3065i	0.359310	−	1.57424i	−0.395609	−	0.918419i	$-0.629466\pi$
$503$	8.05847	−	35.3065i	0.359310	−	1.57424i	0.754918	−	0.655819i	$-0.227677\pi$
$504$	−6.89081	−	1.98401i	−0.306941	−	0.0883748i
$505$	2.37326	+	10.3979i	0.105609	+	0.462701i
$506$	7.56358	−	1.14003i	0.336242	−	0.0506803i
$507$	3.78869	+	2.58309i	0.168262	+	0.114719i
$508$	−5.94379	−	10.2950i	−0.263713	−	0.456765i
$509$	−13.7595	+	23.8321i	−0.609878	+	1.05634i	0.381382	+	0.924418i	$0.375448\pi$
$509$	−13.7595	+	23.8321i	−0.609878	+	1.05634i	−0.991260	+	0.131922i	$0.957885\pi$
$510$	4.89777	−	2.35864i	0.216877	−	0.104442i
$511$	−0.0351730	−	0.00462487i	−0.00155596	−	0.000204592i
$512$	0.900969	+	0.433884i	0.0398176	+	0.0191751i
$513$	6.68642	−	4.55872i	0.295213	−	0.201273i
$514$	7.65614	−	7.10386i	0.337698	−	0.313338i
$515$	14.3370	−	13.3027i	0.631762	−	0.586189i
$516$	−1.63179	+	1.11253i	−0.0718354	+	0.0489765i
$517$	44.9820	+	21.6622i	1.97831	+	0.952702i
$518$	20.0594	+	2.63760i	0.881360	+	0.115889i
$519$	−3.58168	+	1.72485i	−0.157218	+	0.0757123i
$520$	1.33225	−	2.30752i	0.0584229	−	0.101191i
$521$	3.60290	+	6.24041i	0.157846	+	0.273397i	0.934092	−	0.357033i	$-0.116212\pi$
$521$	3.60290	+	6.24041i	0.157846	+	0.273397i	−0.776246	+	0.630430i	$0.782878\pi$
$522$	0.475179	+	0.323972i	0.0207980	+	0.0141799i
$523$	26.0640	−	3.92851i	1.13970	−	0.171782i	0.448044	−	0.894011i	$-0.352121\pi$
$523$	26.0640	−	3.92851i	1.13970	−	0.171782i	0.691653	+	0.722230i	$0.256883\pi$
$524$	1.46798	+	6.43164i	0.0641290	+	0.280968i
$525$	−4.67416	−	1.34579i	−0.203997	−	0.0587351i
$526$	−3.39929	+	14.8933i	−0.148216	+	0.649377i
$527$	2.35143	−	31.3776i	0.102430	−	1.36683i
$528$	−2.98204	+	0.919838i	−0.129777	+	0.0400308i
$529$	−7.76696	+	19.7899i	−0.337694	+	0.860430i
$530$	6.08583	+	1.87723i	0.264351	+	0.0815416i
$531$	−20.9620	+	26.2856i	−0.909675	+	1.14070i
$532$	1.67793	+	6.76107i	0.0727473	+	0.293130i
$533$	−8.85085	−	11.0986i	−0.383373	−	0.480735i
$534$	0.667541	+	1.70087i	0.0288873	+	0.0736037i
$535$	−1.42360	−	18.9966i	−0.0615475	−	0.821294i
$536$	−1.65919	−	0.250083i	−0.0716662	−	0.0108019i
$537$	−2.56193	−	2.37713i	−0.110556	−	0.102581i
$538$	−9.55288			−0.411854
$539$	4.55699	+	40.3281i	0.196283	+	1.73705i
$540$	3.86883			0.166488
$541$	−23.5474	−	21.8488i	−1.01238	−	0.939354i	−0.0142175	−	0.999899i	$-0.504526\pi$
$541$	−23.5474	−	21.8488i	−1.01238	−	0.939354i	−0.998165	+	0.0605448i	$0.980716\pi$
$542$	−18.9376	−	2.85438i	−0.813439	−	0.122606i
$543$	−0.794217	−	10.5981i	−0.0340831	−	0.454808i
$544$	2.93133	+	7.46891i	0.125680	+	0.320227i
$545$	−8.03114	−	10.0707i	−0.344016	−	0.431383i
$546$	2.74014	+	1.25648i	0.117267	+	0.0537724i
$547$	−7.03522	+	8.82189i	−0.300804	+	0.377197i	−0.909145	−	0.416479i	$-0.863264\pi$
$547$	−7.03522	+	8.82189i	−0.300804	+	0.377197i	0.608341	+	0.793676i	$0.291835\pi$
$548$	12.2200	+	3.76936i	0.522011	+	0.161019i
$549$	6.26582	−	15.9650i	0.267418	−	0.681371i
$550$	18.9231	−	5.83699i	0.806882	−	0.248890i
$551$	0.0417520	−	0.557142i	0.00177870	−	0.0237350i
$552$	−0.158015	+	0.692307i	−0.00672554	+	0.0294665i
$553$	−12.5038	+	2.12655i	−0.531716	+	0.0904300i
$554$	−1.09954	−	4.81740i	−0.0467150	−	0.204672i
$555$	−5.12313	+	0.772188i	−0.217465	+	0.0327775i
$556$	7.79915	+	5.31737i	0.330758	+	0.225507i
$557$	−16.3256	−	28.2768i	−0.691739	−	1.19813i	−0.971268	−	0.237990i	$-0.923512\pi$
$557$	−16.3256	−	28.2768i	−0.691739	−	1.19813i	0.279529	−	0.960137i	$-0.409822\pi$
$558$	5.31440	−	9.20481i	0.224977	−	0.389671i
$559$	−6.99778	+	3.36995i	−0.295975	+	0.142534i
$560$	−1.15802	+	3.12250i	−0.0489353	+	0.131950i
$561$	−22.5593	−	10.8640i	−0.952456	−	0.458679i
$562$	−5.41994	+	3.69525i	−0.228627	+	0.155875i
$563$	22.6438	−	21.0104i	0.954323	−	0.885482i	−0.0391866	−	0.999232i	$-0.512477\pi$
$563$	22.6438	−	21.0104i	0.954323	−	0.885482i	0.993509	+	0.113750i	$0.0362862\pi$
$564$	−3.39770	+	3.15260i	−0.143069	+	0.132748i
$565$	8.22655	−	5.60877i	0.346094	−	0.235963i
$566$	−0.0840590	−	0.0404807i	−0.00353326	−	0.00170153i
$567$	−1.60254	−	17.0601i	−0.0673005	−	0.716457i
$568$	1.73115	−	0.833679i	0.0726375	−	0.0349804i
$569$	15.8946	−	27.5302i	0.666335	−	1.15413i	−0.312586	−	0.949889i	$-0.601195\pi$
$569$	15.8946	−	27.5302i	0.666335	−	1.15413i	0.978921	−	0.204237i	$-0.0654714\pi$
$570$	−0.891943	−	1.54489i	−0.0373594	−	0.0647083i
$571$	−27.8813	−	19.0091i	−1.16680	−	0.795508i	−0.184498	−	0.982833i	$-0.559066\pi$
$571$	−27.8813	−	19.0091i	−1.16680	−	0.795508i	−0.982298	+	0.187325i	$0.940018\pi$
$572$	−12.1357	+	1.82916i	−0.507419	+	0.0764812i
$573$	0.817113	+	3.58001i	0.0341354	+	0.149557i
$574$	13.2318	+	11.8208i	0.552285	+	0.493393i
$575$	1.00271	−	4.39315i	0.0418158	−	0.183207i
$576$	−0.202540	+	2.70271i	−0.00843916	+	0.112613i
$577$	−31.8083	+	9.81155i	−1.32419	+	0.408460i	−0.874631	−	0.484788i	$-0.838897\pi$
$577$	−31.8083	+	9.81155i	−1.32419	+	0.408460i	−0.449563	+	0.893248i	$0.648420\pi$
$578$	−17.3089	+	44.1023i	−0.719955	+	1.83441i
$579$	−7.66884	−	2.36552i	−0.318706	−	0.0983078i
$580$	0.166534	−	0.208827i	0.00691495	−	0.00867107i
$581$	−15.1399	+	19.7373i	−0.628109	+	0.818840i
$582$	−2.60635	−	3.26826i	−0.108037	−	0.135474i
$583$	−10.7172	−	27.3070i	−0.443862	−	1.13094i
$584$	0.00100202	+	0.0133711i	4.14641e−5	+	0.000553300i
$585$	7.14088	+	1.07632i	0.295239	+	0.0445002i
$586$	−20.8347	−	19.3318i	−0.860673	−	0.798587i
$587$	39.3166			1.62277			0.811385	−	0.584512i	$-0.198714\pi$
$587$	39.3166			1.62277			0.811385	+	0.584512i	$0.198714\pi$
$588$	−3.63969	−	0.974001i	−0.150098	−	0.0401671i
$589$	−10.3256			−0.425458
$590$	11.4462	+	10.6205i	0.471232	+	0.437239i
$591$	9.06775	+	1.36674i	0.372997	+	0.0562203i
$592$	−0.571461	−	7.62562i	−0.0234869	−	0.313411i
$593$	2.86551	+	7.30121i	0.117673	+	0.299825i	0.977559	−	0.210660i	$-0.0675613\pi$
$593$	2.86551	+	7.30121i	0.117673	+	0.299825i	−0.859887	+	0.510485i	$0.829466\pi$
$594$	−11.1106	−	13.9322i	−0.455873	−	0.571647i
$595$	−23.8518	+	12.0458i	−0.977830	+	0.493828i
$596$	−0.0201142	+	0.0252224i	−0.000823908	+	0.00103315i
$597$	5.55447	+	1.71333i	0.227329	+	0.0701218i
$598$	−1.02028	+	2.59962i	−0.0417222	+	0.106306i
$599$	−33.8929	+	10.4546i	−1.38482	+	0.427162i	−0.895547	−	0.444966i	$-0.853216\pi$
$599$	−33.8929	+	10.4546i	−1.38482	+	0.427162i	−0.489277	+	0.872128i	$0.662739\pi$
$600$	−0.137386	+	1.83330i	−0.00560878	+	0.0748440i
$601$	0.667468	−	2.92437i	0.0272266	−	0.119287i	−0.959488	−	0.281748i	$-0.909086\pi$
$601$	0.667468	−	2.92437i	0.0272266	−	0.119287i	0.986715	+	0.162460i	$0.0519430\pi$
$602$	7.91641	−	5.61890i	0.322649	−	0.229009i
$603$	−1.01195	−	4.43366i	−0.0412099	−	0.180552i
$604$	−18.4737	+	2.78446i	−0.751683	+	0.113298i
$605$	23.5198	+	16.0355i	0.956215	+	0.651936i
$606$	2.28030	+	3.94960i	0.0926310	+	0.160442i
$607$	−2.47279	+	4.28299i	−0.100367	+	0.173841i	−0.911836	−	0.410555i	$-0.865335\pi$
$607$	−2.47279	+	4.28299i	−0.100367	+	0.173841i	0.811469	+	0.584396i	$0.198668\pi$
$608$	2.37222	−	1.14240i	0.0962062	−	0.0463305i
$609$	0.252842	+	0.165487i	0.0102457	+	0.00670588i
$610$	−7.17647	−	3.45600i	−0.290567	−	0.139929i
$611$	−15.0608	+	10.2683i	−0.609295	+	0.415411i
$612$	−15.9410	+	14.7911i	−0.644378	+	0.597895i
$613$	1.40571	−	1.30430i	0.0567759	−	0.0526804i	−0.651275	−	0.758842i	$-0.725765\pi$
$613$	1.40571	−	1.30430i	0.0567759	−	0.0526804i	0.708050	+	0.706162i	$0.249575\pi$
$614$	7.39820	−	5.04401i	0.298567	−	0.203560i
$615$	−4.09364	−	1.97139i	−0.165071	−	0.0794942i
$616$	14.5702	−	4.79706i	0.587051	−	0.193279i
$617$	0.000881429	0	0.000424474i	3.54850e−5	0	1.70887e-5i	−0.433866	−	0.900977i	$-0.642851\pi$
$617$	0.000881429	0	0.000424474i	3.54850e−5	0	1.70887e-5i	0.433901	+	0.900960i	$0.357137\pi$
$618$	4.18159	−	7.24272i	0.168208	−	0.291345i
$619$	16.5619	+	28.6860i	0.665678	+	1.15299i	0.979101	+	0.203374i	$0.0651909\pi$
$619$	16.5619	+	28.6860i	0.665678	+	1.15299i	−0.313423	+	0.949614i	$0.601476\pi$
$620$	−4.07860	−	2.78075i	−0.163801	−	0.111677i
$621$	−4.00964	+	0.604357i	−0.160902	+	0.0242520i
$622$	−1.77106	−	7.75950i	−0.0710128	−	0.311128i
$623$	−3.43836	−	8.29717i	−0.137755	−	0.332419i
$624$	0.253533	−	1.11080i	0.0101494	−	0.0444676i
$625$	0.279786	−	3.73349i	0.0111915	−	0.149340i
$626$	−3.80441	+	1.17351i	−0.152055	+	0.0469027i
$627$	−3.00188	+	7.64867i	−0.119884	+	0.305458i
$628$	−19.2046	−	5.92382i	−0.766345	−	0.236386i
$629$	38.2549	−	47.9702i	1.52532	−	1.91270i
$630$	−9.02450	+	0.170226i	−0.359545	+	0.00678196i
$631$	−28.5556	−	35.8076i	−1.13678	−	1.42548i	−0.889737	−	0.456474i	$-0.849112\pi$
$631$	−28.5556	−	35.8076i	−1.13678	−	1.42548i	−0.247044	−	0.969004i	$-0.579459\pi$
$632$	1.75139	+	4.46248i	0.0696667	+	0.177508i
$633$	−0.209171	−	2.79120i	−0.00831382	−	0.110940i
$634$	−3.14402	−	0.473885i	−0.124865	−	0.0188204i
$635$	−10.9689	−	10.1777i	−0.435289	−	0.403890i
$636$	2.72336			0.107988
$637$	−13.5831	−	5.92106i	−0.538182	−	0.234601i
$638$	−1.23027			−0.0487070
$639$	3.81746	+	3.54209i	0.151017	+	0.140123i
$640$	1.24468	+	0.187606i	0.0492004	+	0.00741577i
$641$	2.81529	+	37.5675i	0.111197	+	1.48383i	0.721917	+	0.691979i	$0.243261\pi$
$641$	2.81529	+	37.5675i	0.111197	+	1.48383i	−0.610720	+	0.791847i	$0.709120\pi$
$642$	−2.97604	−	7.58283i	−0.117455	−	0.299270i
$643$	−1.49348	−	1.87277i	−0.0588971	−	0.0738547i	0.751510	−	0.659721i	$-0.229326\pi$
$643$	−1.49348	−	1.87277i	−0.0588971	−	0.0738547i	−0.810407	+	0.585867i	$0.800754\pi$
$644$	0.712397	−	3.41705i	0.0280724	−	0.134650i
$645$	−1.54997	+	1.94360i	−0.0610301	+	0.0765293i
$646$	20.1872	+	6.22691i	0.794253	+	0.244995i
$647$	−8.60623	+	21.9283i	−0.338346	+	0.862091i	0.655888	+	0.754858i	$0.272294\pi$
$647$	−8.60623	+	21.9283i	−0.338346	+	0.862091i	−0.994234	+	0.107233i	$0.965801\pi$
$648$	−6.18877	+	1.90898i	−0.243118	+	0.0749919i
$649$	5.37464	−	71.7196i	0.210973	−	2.81524i
$650$	−1.60884	+	7.04878i	−0.0631038	+	0.276476i
$651$	2.70067	−	4.88834i	0.105847	−	0.191589i
$652$	1.31913	+	5.77947i	0.0516609	+	0.226341i
$653$	0.782592	−	0.117957i	0.0306252	−	0.00461601i	−0.133712	−	0.991020i	$-0.542690\pi$
$653$	0.782592	−	0.117957i	0.0306252	−	0.00461601i	0.164337	+	0.986404i	$0.447452\pi$
$654$	−4.55095	−	3.10279i	−0.177956	−	0.121329i
$655$	4.15199	+	7.19145i	0.162232	+	0.280993i
$656$	3.35311	−	5.80775i	0.130917	−	0.226755i
$657$	−0.0327422	+	0.0157678i	−0.00127739	+	0.000615161i
$658$	16.4060	−	15.8087i	0.639572	−	0.616287i
$659$	−12.9955	−	6.25828i	−0.506231	−	0.243788i	0.163294	−	0.986577i	$-0.447788\pi$
$659$	−12.9955	−	6.25828i	−0.506231	−	0.243788i	−0.669525	+	0.742789i	$0.733502\pi$
$660$	−3.24558	+	2.21280i	−0.126334	+	0.0861331i
$661$	29.2447	−	27.1351i	1.13749	−	1.05543i	0.139617	−	0.990206i	$-0.455413\pi$
$661$	29.2447	−	27.1351i	1.13749	−	1.05543i	0.997870	−	0.0652286i	$-0.0207777\pi$
$662$	−11.9271	+	11.0668i	−0.463561	+	0.430122i
$663$	7.55329	−	5.14974i	0.293345	−	0.199999i
$664$	8.47086	+	4.07935i	0.328733	+	0.158310i
$665$	4.52674	+	7.50980i	0.175539	+	0.291218i
$666$	18.6731	−	8.99249i	0.723568	−	0.348452i
$667$	−0.139974	+	0.242442i	−0.00541982	+	0.00938740i
$668$	10.0728	+	17.4466i	0.389729	+	0.675031i
$669$	−8.48311	−	5.78369i	−0.327976	−	0.223610i
$670$	−2.08849	+	0.314790i	−0.0806856	+	0.0121614i
$671$	8.16394	+	35.7685i	0.315165	+	1.38083i
$672$	−0.0796207	+	1.42185i	−0.00307143	+	0.0548492i
$673$	−3.65318	+	16.0056i	−0.140820	+	0.616971i	0.854426	+	0.519573i	$0.173909\pi$
$673$	−3.65318	+	16.0056i	−0.140820	+	0.616971i	−0.995246	+	0.0973977i	$0.968948\pi$
$674$	−0.102366	+	1.36597i	−0.00394298	+	0.0526153i
$675$	−10.0316	+	3.09434i	−0.386116	+	0.119101i
$676$	−3.11241	+	7.93029i	−0.119708	+	0.305011i
$677$	0.261999	+	0.0808160i	0.0100694	+	0.00310601i	0.299786	−	0.954007i	$-0.403085\pi$
$677$	0.261999	+	0.0808160i	0.0100694	+	0.00310601i	−0.289716	+	0.957113i	$0.593561\pi$
$678$	2.65455	−	3.32870i	0.101947	−	0.127838i
$679$	13.1121	+	15.8205i	0.503196	+	0.607136i
$680$	6.29698	+	7.89617i	0.241478	+	0.302804i
$681$	1.05166	+	2.67959i	0.0402998	+	0.102682i
$682$	1.69914	+	22.6735i	0.0650635	+	0.868212i
$683$	−12.9981	−	1.95914i	−0.497357	−	0.0749646i	−0.104427	−	0.994533i	$-0.533301\pi$
$683$	−12.9981	−	1.95914i	−0.497357	−	0.0749646i	−0.392931	+	0.919568i	$0.628539\pi$
$684$	5.23112	+	4.85377i	0.200017	+	0.185589i
$685$	16.0969			0.615032
$686$	17.9778	+	4.44940i	0.686397	+	0.169879i
$687$	14.8937			0.568231
$688$	−2.68972	−	2.49570i	−0.102545	−	0.0951475i
$689$	10.5906	+	1.59627i	0.403469	+	0.0608131i
$690$	0.0667972	+	0.891347i	0.00254293	+	0.0339330i
$691$	9.82197	+	25.0260i	0.373645	+	0.952032i	0.986782	+	0.162055i	$0.0518123\pi$
$691$	9.82197	+	25.0260i	0.373645	+	0.952032i	−0.613136	+	0.789977i	$0.710092\pi$
$692$	−4.60491	−	5.77437i	−0.175052	−	0.219509i
$693$	26.5298	+	32.0097i	1.00778	+	1.21595i
$694$	5.94727	−	7.45764i	0.225755	−	0.283088i
$695$	11.3538	+	3.50219i	0.430675	+	0.132846i
$696$	0.0417273	−	0.106320i	0.00158167	−	0.00403003i
$697$	51.4171	−	15.8601i	1.94756	−	0.600743i
$698$	1.77612	−	23.7007i	0.0672271	−	0.897084i
$699$	−2.05928	+	9.02231i	−0.0778892	+	0.341255i
$700$	0.505247	−	9.02261i	0.0190965	−	0.341023i
$701$	−0.0135589	−	0.0594053i	−0.000512111	−	0.00224371i	0.974671	−	0.223643i	$-0.0717949\pi$
$701$	−0.0135589	−	0.0594053i	−0.000512111	−	0.00224371i	−0.975183	+	0.221399i	$0.928938\pi$
$702$	6.43345	−	0.969686i	0.242815	−	0.0365984i
$703$	−16.6357	−	11.3421i	−0.627429	−	0.427774i
$704$	−2.89891	−	5.02106i	−0.109257	−	0.189238i
$705$	−2.91714	+	5.05263i	−0.109866	+	0.190293i
$706$	−1.90837	+	0.919025i	−0.0718226	+	0.0345880i
$707$	−11.5729	−	19.1992i	−0.435242	−	0.722062i
$708$	6.01567	+	2.89700i	0.226083	+	0.108876i
$709$	−12.2651	+	8.36222i	−0.460627	+	0.314050i	−0.771306	−	0.636465i	$-0.780396\pi$
$709$	−12.2651	+	8.36222i	−0.460627	+	0.314050i	0.310679	+	0.950515i	$0.399444\pi$
$710$	1.77295	−	1.64506i	0.0665377	−	0.0617379i
$711$	−9.52434	+	8.83730i	−0.357191	+	0.331425i
$712$	−2.80479	+	1.91227i	−0.105114	+	0.0716654i
$713$	4.66144	+	2.24483i	0.174572	+	0.0840696i
$714$	−8.22792	+	7.92836i	−0.307922	+	0.296711i
$715$	−13.9184	+	6.70275i	−0.520519	+	0.250669i
$716$	3.24652	−	5.62314i	0.121328	−	0.210146i
$717$	−0.407039	−	0.705013i	−0.0152012	−	0.0263292i
$718$	−24.0802	−	16.4176i	−0.898667	−	0.612701i
$719$	−1.75064	+	0.263866i	−0.0652878	+	0.00984056i	−0.181605	−	0.983372i	$-0.558129\pi$
$719$	−1.75064	+	0.263866i	−0.0652878	+	0.00984056i	0.116317	+	0.993212i	$0.462891\pi$
$720$	0.759141	+	3.32601i	0.0282915	+	0.123953i
$721$	−19.8793	+	35.9826i	−0.740345	+	1.34006i
$722$	−2.68527	+	11.7649i	−0.0999354	+	0.437846i
$723$	0.701050	−	9.35486i	0.0260723	−	0.347911i
$724$	18.8678	−	5.81996i	0.701217	−	0.216297i
$725$	−0.264788	+	0.674669i	−0.00983398	+	0.0250566i
$726$	11.6316	+	3.58788i	0.431690	+	0.133159i
$727$	−4.07292	+	5.10728i	−0.151056	+	0.189418i	−0.851602	−	0.524189i	$-0.824369\pi$
$727$	−4.07292	+	5.10728i	−0.151056	+	0.189418i	0.700546	+	0.713607i	$0.252940\pi$
$728$	−1.14304	+	5.48262i	−0.0423637	+	0.203200i
$729$	−7.84980	−	9.84334i	−0.290733	−	0.364568i
$730$	0.00616620	+	0.0157112i	0.000228221	+	0.000581499i
$731$	−2.20006	−	29.3577i	−0.0813721	−	1.08584i
$732$	−3.36800	−	0.507644i	−0.124485	−	0.0187631i
$733$	15.0267	+	13.9428i	0.555026	+	0.514988i	0.907062	−	0.420998i	$-0.138320\pi$
$733$	15.0267	+	13.9428i	0.555026	+	0.514988i	−0.352036	+	0.935986i	$0.614511\pi$
$734$	2.63686			0.0973283
$735$	−4.73927	+	0.178854i	−0.174810	+	0.00659712i
$736$	−1.31929			−0.0486297
$737$	7.13139	+	6.61696i	0.262688	+	0.243739i
$738$	17.9727	+	2.70895i	0.661586	+	0.0997180i
$739$	2.28923	+	30.5477i	0.0842108	+	1.12371i	0.865957	+	0.500118i	$0.166710\pi$
$739$	2.28923	+	30.5477i	0.0842108	+	1.12371i	−0.781746	+	0.623597i	$0.785671\pi$
$740$	−3.51663	−	8.96022i	−0.129274	−	0.329384i
$741$	−1.87042	−	2.34543i	−0.0687114	−	0.0861614i
$742$	−13.3842	+	0.252460i	−0.491348	+	0.00926812i
$743$	−7.12890	+	8.93936i	−0.261534	+	0.327953i	−0.895209	−	0.445646i	$-0.852974\pi$
$743$	−7.12890	+	8.93936i	−0.261534	+	0.327953i	0.633675	+	0.773599i	$0.281546\pi$
$744$	−2.01706	−	0.622180i	−0.0739490	−	0.0228102i
$745$	−0.0148357	+	0.0378007i	−0.000543537	+	0.00138491i
$746$	−25.6342	+	7.90711i	−0.938536	+	0.289500i
$747$	−1.90427	+	25.4107i	−0.0696736	+	0.929729i
$748$	10.3515	−	45.3528i	0.378487	−	1.65826i
$749$	15.3289	+	36.9905i	0.560107	+	1.35160i
$750$	1.26875	+	5.55876i	0.0463282	+	0.202977i
$751$	0.380245	−	0.0573126i	0.0138753	−	0.00209137i	−0.142101	−	0.989852i	$-0.545386\pi$
$751$	0.380245	−	0.0573126i	0.0138753	−	0.00209137i	0.155976	+	0.987761i	$0.450148\pi$
$752$	−7.11492	−	4.85087i	−0.259454	−	0.176893i
$753$	2.97967	+	5.16094i	0.108585	+	0.188075i
$754$	0.224587	−	0.388997i	0.00817899	−	0.0141664i
$755$	−21.1874	+	10.2033i	−0.771089	+	0.371337i
$756$	−7.72404	+	2.54304i	−0.280921	+	0.0924896i
$757$	9.19718	+	4.42913i	0.334277	+	0.160979i	0.593491	−	0.804841i	$-0.297749\pi$
$757$	9.19718	+	4.42913i	0.334277	+	0.160979i	−0.259214	+	0.965820i	$0.583463\pi$
$758$	−1.70799	+	1.16449i	−0.0620370	+	0.0422961i
$759$	3.01804	−	2.80033i	0.109548	−	0.101646i
$760$	2.42950	−	2.25424i	0.0881271	−	0.0817700i
$761$	32.5759	−	22.2099i	1.18088	−	0.805108i	0.196383	−	0.980527i	$-0.437080\pi$
$761$	32.5759	−	22.2099i	1.18088	−	0.805108i	0.984494	+	0.175419i	$0.0561281\pi$
$762$	−5.76486	−	2.77621i	−0.208839	−	0.100571i
$763$	22.6536	+	14.8270i	0.820117	+	0.536774i
$764$	−6.14661	+	2.96005i	−0.222377	+	0.107091i
$765$	−13.6864	+	23.7055i	−0.494832	+	0.857073i
$766$	3.89405	+	6.74469i	0.140698	+	0.243696i
$767$	21.6957	+	14.7919i	0.783385	+	0.534103i
$768$	0.532240	−	0.0802223i	0.0192056	−	0.00289477i
$769$	2.91218	+	12.7591i	0.105016	+	0.460105i	0.999905	+	0.0138152i	$0.00439765\pi$
$769$	2.91218	+	12.7591i	0.105016	+	0.460105i	−0.894889	+	0.446289i	$0.852745\pi$
$770$	15.7455	−	11.1758i	0.567429	−	0.402750i
$771$	1.25092	−	5.48066i	0.0450510	−	0.197381i
$772$	1.11423	−	14.8684i	0.0401021	−	0.535125i
$773$	41.8364	−	12.9048i	1.50475	−	0.464154i	0.570659	−	0.821187i	$-0.306688\pi$
$773$	41.8364	−	12.9048i	1.50475	−	0.464154i	0.934092	+	0.357033i	$0.116212\pi$
$774$	3.63317	−	9.25717i	0.130592	−	0.332742i
$775$	12.7996	+	3.94815i	0.459775	+	0.141822i
$776$	4.84225	−	6.07199i	0.173827	−	0.217972i
$777$	9.72065	−	4.90917i	0.348726	−	0.176115i
$778$	−13.5622	−	17.0065i	−0.486229	−	0.609712i
$779$	−6.45091	−	16.4366i	−0.231128	−	0.588904i
$780$	−0.107176	−	1.43016i	−0.00383750	−	0.0512079i
$781$	−11.0157	−	1.66035i	−0.394173	−	0.0594120i
$782$	−7.75965	−	7.19990i	−0.277484	−	0.257468i
$783$	0.652199			0.0233077
$784$	0.259494	−	6.99519i	0.00926763	−	0.249828i
$785$	−25.2975			−0.902906
$786$	2.60297	+	2.41520i	0.0928449	+	0.0861475i
$787$	−10.8983	−	1.64265i	−0.388481	−	0.0585542i	−0.0481023	−	0.998842i	$-0.515317\pi$
$787$	−10.8983	−	1.64265i	−0.388481	−	0.0585542i	−0.340379	+	0.940288i	$0.610555\pi$
$788$	1.27317	+	16.9893i	0.0453549	+	0.605219i
$789$	3.00401	+	7.65409i	0.106946	+	0.272493i
$790$	3.76228	+	4.71775i	0.133856	+	0.167850i
$791$	−12.7374	+	16.6052i	−0.452890	+	0.590414i
$792$	9.79736	−	12.2855i	0.348134	−	0.436546i
$793$	−12.7999	−	3.94824i	−0.454538	−	0.140206i
$794$	−0.855791	+	2.18052i	−0.0303709	+	0.0773837i
$795$	3.27571	−	1.01042i	0.116177	−	0.0358360i
$796$	−0.807029	+	10.7691i	−0.0286044	+	0.381699i
$797$	−5.94304	+	26.0382i	−0.210513	+	0.922319i	0.753706	+	0.657212i	$0.228264\pi$
$797$	−5.94304	+	26.0382i	−0.210513	+	0.922319i	−0.964219	+	0.265107i	$0.914593\pi$
$798$	2.79623	+	2.49805i	0.0989853	+	0.0884301i
$799$	−15.3745	−	67.3602i	−0.543912	−	2.38303i
$800$	−3.37742	+	0.509064i	−0.119410	+	0.0179981i
$801$	−7.60177	−	5.18280i	−0.268595	−	0.183125i
$802$	−13.7012	−	23.7311i	−0.483805	−	0.837975i
$803$	0.0388703	−	0.0673253i	0.00137170	−	0.00237586i
$804$	−0.813710	+	0.391862i	−0.0286973	+	0.0138199i
$805$	−0.410910	−	4.37440i	−0.0144827	−	0.154177i
$806$	−7.47924	−	3.60181i	−0.263445	−	0.126868i
$807$	−4.24840	+	2.89651i	−0.149551	+	0.101962i
$808$	−6.21115	+	5.76310i	−0.218507	+	0.202745i
$809$	−19.7453	+	18.3210i	−0.694208	+	0.644131i	−0.946194	−	0.323600i	$-0.895107\pi$
$809$	−19.7453	+	18.3210i	−0.694208	+	0.644131i	0.251986	+	0.967731i	$0.418916\pi$
$810$	−6.73570	+	4.59232i	−0.236668	+	0.161358i
$811$	−43.4695	−	20.9338i	−1.52642	−	0.735085i	−0.532629	−	0.846349i	$-0.678796\pi$
$811$	−43.4695	−	20.9338i	−1.52642	−	0.735085i	−0.993791	+	0.111264i	$0.964510\pi$
$812$	−0.195216	+	0.526384i	−0.00685075	+	0.0184725i
$813$	−9.28747	+	4.47261i	−0.325726	+	0.156861i
$814$	−22.1680	+	38.3961i	−0.776987	+	1.34578i
$815$	3.73097	+	6.46223i	0.130690	+	0.226362i
$816$	3.56827	+	2.43280i	0.124914	+	0.0851652i
$817$	−9.55299	+	1.43988i	−0.334217	+	0.0503751i
$818$	−0.631666	−	2.76751i	−0.0220857	−	0.0967637i
$819$	−14.9641	+	2.54497i	−0.522888	+	0.0889286i
$820$	1.87839	−	8.22975i	0.0655961	−	0.287395i
$821$	1.76506	−	23.5531i	0.0616010	−	0.822008i	−0.877765	−	0.479091i	$-0.840966\pi$
$821$	1.76506	−	23.5531i	0.0616010	−	0.822008i	0.939366	−	0.342916i	$-0.111415\pi$
$822$	6.57742	−	2.02886i	0.229414	−	0.0707648i
$823$	16.7546	−	42.6899i	0.584027	−	1.48808i	−0.267390	−	0.963588i	$-0.586161\pi$
$823$	16.7546	−	42.6899i	0.584027	−	1.48808i	0.851417	−	0.524489i	$-0.175744\pi$
$824$	14.8474	+	4.57980i	0.517232	+	0.159545i
$825$	6.64573	−	8.33348i	0.231375	−	0.290134i
$826$	−29.8331	−	13.6798i	−1.03802	−	0.475983i
$827$	24.9152	+	31.2427i	0.866387	+	1.08641i	0.995498	+	0.0947845i	$0.0302162\pi$
$827$	24.9152	+	31.2427i	0.866387	+	1.08641i	−0.129111	+	0.991630i	$0.541212\pi$
$828$	−1.30633	−	3.32848i	−0.0453982	−	0.115673i
$829$	−0.0732625	−	0.977620i	−0.00254451	−	0.0339541i	0.995787	−	0.0916963i	$-0.0292289\pi$
$829$	−0.0732625	−	0.977620i	−0.00254451	−	0.0339541i	−0.998332	+	0.0577422i	$0.981610\pi$
$830$	11.7024	+	1.76386i	0.406198	+	0.0612244i
$831$	−1.94967	−	1.80903i	−0.0676332	−	0.0627544i
$832$	2.11679			0.0733866
$833$	39.7018	−	39.7273i	1.37559	−	1.37647i
$834$	5.08074			0.175932
$835$	18.5889	+	17.2479i	0.643294	+	0.596889i
$836$	−15.0949	−	2.27520i	−0.522070	−	0.0786893i
$837$	−0.900758	−	12.0198i	−0.0311348	−	0.415464i
$838$	2.43065	+	6.19321i	0.0839655	+	0.213941i
$839$	−12.3430	−	15.4777i	−0.426128	−	0.534348i	0.521700	−	0.853129i	$-0.325298\pi$
$839$	−12.3430	−	15.4777i	−0.426128	−	0.534348i	−0.947828	+	0.318781i	$0.896727\pi$
$840$	0.431767	+	1.73977i	0.0148974	+	0.0600279i
$841$	−18.0531	+	22.6379i	−0.622522	+	0.780618i
$842$	26.0002	+	8.01999i	0.896025	+	0.276387i
$843$	−1.28995	+	3.28674i	−0.0444283	+	0.113201i
$844$	4.96919	−	1.53279i	0.171046	−	0.0527608i
$845$	−0.801365	+	10.6935i	−0.0275678	+	0.367867i
$846$	5.19338	−	22.7537i	0.178552	−	0.782288i
$847$	−57.4971	−	16.5546i	−1.97562	−	0.568824i
$848$	1.12587	+	4.93278i	0.0386627	+	0.169392i
$849$	−0.0496571	+	0.00748461i	−0.00170423	+	0.000256871i
$850$	−22.6431	−	15.4378i	−0.776651	−	0.529511i
$851$	5.04431	+	8.73701i	0.172917	+	0.299501i
$852$	0.517107	−	0.895656i	0.0177158	−	0.0306847i
$853$	−17.8523	+	8.59722i	−0.611251	+	0.294363i	−0.713783	−	0.700367i	$-0.753020\pi$
$853$	−17.8523	+	8.59722i	−0.611251	+	0.294363i	0.102532	+	0.994730i	$0.467306\pi$
$854$	16.5993	+	2.18264i	0.568018	+	0.0746883i
$855$	8.09294	+	3.89735i	0.276773	+	0.133287i
$856$	12.5043	−	8.52531i	0.427389	−	0.291389i
$857$	−11.8336	+	10.9800i	−0.404228	+	0.375069i	−0.855923	−	0.517104i	$-0.827010\pi$
$857$	−11.8336	+	10.9800i	−0.404228	+	0.375069i	0.451695	+	0.892173i	$0.350820\pi$
$858$	−4.84243	+	4.49312i	−0.165318	+	0.153392i
$859$	−3.05596	+	2.08352i	−0.104268	+	0.0710888i	−0.614332	−	0.789048i	$-0.710574\pi$
$859$	−3.05596	+	2.08352i	−0.104268	+	0.0710888i	0.510063	+	0.860137i	$0.329622\pi$
$860$	−4.16120	−	2.00393i	−0.141896	−	0.0683334i
$861$	9.46868	+	1.24503i	0.322692	+	0.0424305i
$862$	19.6580	−	9.46680i	0.669555	−	0.322440i
$863$	−13.8882	+	24.0550i	−0.472759	+	0.818843i	−0.999514	−	0.0311744i	$-0.990075\pi$
$863$	−13.8882	+	24.0550i	−0.472759	+	0.818843i	0.526755	+	0.850017i	$0.323409\pi$
$864$	1.53679	+	2.66179i	0.0522825	+	0.0905559i
$865$	−7.68128	−	5.23701i	−0.261171	−	0.178064i
$866$	−37.0201	+	5.57988i	−1.25799	+	0.189612i
$867$	5.67449	+	24.8616i	0.192716	+	0.844343i
$868$	9.97067	+	2.87077i	0.338427	+	0.0974403i
$869$	6.18473	−	27.0971i	0.209803	−	0.919206i
$870$	0.0107437	−	0.143365i	0.000364246	−	0.00486053i
$871$	−3.39404	+	1.04692i	−0.115003	+	0.0354736i
$872$	3.73861	−	9.52581i	0.126605	−	0.322585i
$873$	20.1139	+	6.20432i	0.680753	+	0.209985i
$874$	−2.16578	+	2.71581i	−0.0732587	+	0.0918635i
$875$	−6.75069	−	27.2014i	−0.228215	−	0.919574i
$876$	0.00449985	+	0.00564263i	0.000152036	+	0.000190647i
$877$	−18.2217	−	46.4280i	−0.615302	−	1.56776i	−0.809702	−	0.586841i	$-0.800371\pi$
$877$	−18.2217	−	46.4280i	−0.615302	−	1.56776i	0.194400	−	0.980922i	$-0.437724\pi$
$878$	0.605367	+	8.07806i	0.0204301	+	0.272621i
$879$	−15.1272	−	2.28006i	−0.510229	−	0.0769046i
$880$	−5.34978	−	4.96387i	−0.180341	−	0.167332i
$881$	7.77055			0.261797			0.130898	−	0.991396i	$-0.458214\pi$
$881$	7.77055			0.261797			0.130898	+	0.991396i	$0.458214\pi$
$882$	17.9053	−	6.27180i	0.602904	−	0.211182i
$883$	34.7830			1.17054			0.585271	−	0.810838i	$-0.300988\pi$
$883$	34.7830			1.17054			0.585271	+	0.810838i	$0.300988\pi$
$884$	12.4503	+	11.5522i	0.418749	+	0.388542i
$885$	8.31061	+	1.25262i	0.279358	+	0.0421065i
$886$	0.576149	+	7.68817i	0.0193561	+	0.258289i
$887$	−5.65347	−	14.4048i	−0.189825	−	0.483666i	0.804000	−	0.594630i	$-0.202701\pi$
$887$	−5.65347	−	14.4048i	−0.189825	−	0.483666i	−0.993824	+	0.110964i	$0.964606\pi$
$888$	−2.56629	−	3.21803i	−0.0861191	−	0.107990i
$889$	28.5892	+	13.1095i	0.958852	+	0.439678i
$890$	−2.66416	+	3.34075i	−0.0893028	+	0.111982i
$891$	35.8814	+	11.0679i	1.20207	+	0.370790i
$892$	6.96888	−	17.7564i	0.233335	−	0.594528i
$893$	−21.6657	+	6.68299i	−0.725016	+	0.223638i
$894$	−0.00129764	+	0.0173158i	−4.33995e−5	+	0.000579126i
$895$	1.81868	−	7.96814i	0.0607916	−	0.266346i
$896$	−2.60830	+	0.443598i	−0.0871371	+	0.0148196i
$897$	0.334484	+	1.46547i	0.0111681	+	0.0489306i
$898$	11.1460	−	1.67999i	0.371947	−	0.0560620i
$899$	−0.687562	−	0.468772i	−0.0229315	−	0.0156344i
$900$	−4.62858	−	8.01694i	−0.154286	−	0.267231i
$901$	−20.2981	+	35.1574i	−0.676228	+	1.17126i
$902$	−35.0309	+	16.8700i	−1.16640	+	0.561710i
$903$	1.81692	−	4.89918i	0.0604635	−	0.163035i
$904$	7.12665	+	3.43201i	0.237029	+	0.114147i
$905$	20.5353	−	14.0007i	0.682616	−	0.465399i
$906$	−7.37143	+	6.83968i	−0.244899	+	0.227233i
$907$	28.0399	−	26.0172i	0.931049	−	0.863887i	−0.0598897	−	0.998205i	$-0.519075\pi$
$907$	28.0399	−	26.0172i	0.931049	−	0.863887i	0.990938	+	0.134318i	$0.0428844\pi$
$908$	−4.41874	+	3.01265i	−0.146641	+	0.0999782i
$909$	−20.6901	−	9.96381i	−0.686246	−	0.330479i
$910$	0.659302	+	7.01870i	0.0218556	+	0.232667i
$911$	7.93065	−	3.81920i	0.262754	−	0.126536i	−0.297869	−	0.954607i	$-0.596276\pi$
$911$	7.93065	−	3.81920i	0.262754	−	0.126536i	0.560623	+	0.828071i	$0.310562\pi$
$912$	0.708599	−	1.22733i	0.0234640	−	0.0406409i
$913$	−27.2554	−	47.2077i	−0.902022	−	1.56235i
$914$	30.4597	+	20.7670i	1.00752	+	0.686913i
$915$	−4.23944	+	0.638992i	−0.140151	+	0.0211244i
$916$	6.15728	+	26.9768i	0.203442	+	0.891338i
$917$	−13.0164	−	11.6284i	−0.429840	−	0.384004i
$918$	−5.48758	+	24.0426i	−0.181117	+	0.793525i
$919$	1.57030	−	20.9542i	0.0517994	−	0.691215i	−0.909499	−	0.415706i	$-0.863535\pi$
$919$	1.57030	−	20.9542i	0.0517994	−	0.691215i	0.961299	−	0.275509i	$-0.0888463\pi$
$920$	−1.58687	+	0.489484i	−0.0523175	+	0.0161378i
$921$	1.76078	−	4.48639i	0.0580196	−	0.147831i
$922$	1.44798	+	0.446641i	0.0476865	+	0.0147093i
$923$	2.53591	−	3.17993i	0.0834704	−	0.104669i
$924$	5.02522	−	6.55117i	0.165318	−	0.215518i
$925$	16.2849	+	20.4206i	0.535443	+	0.671424i
$926$	−0.944141	−	2.40563i	−0.0310264	−	0.0790540i
$927$	3.14699	+	41.9937i	0.103361	+	1.37926i
$928$	0.209826	+	0.0316262i	0.00688787	+	0.00103818i
$929$	−26.3088	−	24.4110i	−0.863164	−	0.800899i	0.118213	−	0.992988i	$-0.462283\pi$
$929$	−26.3088	−	24.4110i	−0.863164	−	0.800899i	−0.981378	+	0.192089i	$0.938474\pi$
$930$	−2.65700			−0.0871264
$931$	−13.9738	−	12.0177i	−0.457974	−	0.393863i
$932$	−17.1933			−0.563186
$933$	−3.14037	−	2.91384i	−0.102811	−	0.0953949i
$934$	−0.210301	−	0.0316977i	−0.00688125	−	0.00103718i
$935$	−4.37586	−	58.3918i	−0.143106	−	1.90962i
$936$	2.09600	+	5.34053i	0.0685100	+	0.174561i
$937$	11.4477	+	14.3550i	0.373980	+	0.468956i	0.932832	−	0.360311i	$-0.117329\pi$
$937$	11.4477	+	14.3550i	0.373980	+	0.468956i	−0.558852	+	0.829267i	$0.688758\pi$
$938$	3.96272	−	2.00127i	0.129387	−	0.0653438i
$939$	−1.33610	+	1.67542i	−0.0436019	+	0.0546751i
$940$	−10.3577	−	3.19494i	−0.337832	−	0.104207i
$941$	5.71121	−	14.5519i	0.186180	−	0.474379i	−0.807058	−	0.590472i	$-0.798942\pi$
$941$	5.71121	−	14.5519i	0.186180	−	0.474379i	0.993238	+	0.116093i	$0.0370369\pi$
$942$	−10.3369	+	3.18851i	−0.336794	+	0.103887i
$943$	−0.661171	+	8.82271i	−0.0215307	+	0.287307i
$944$	−2.76032	+	12.0938i	−0.0898409	+	0.393619i
$945$	−8.34710	+	5.92460i	−0.271531	+	0.192727i
$946$	4.73378	+	20.7400i	0.153908	+	0.674317i
$947$	−30.0112	+	4.52346i	−0.975233	+	0.146993i	−0.617277	−	0.786746i	$-0.711764\pi$
$947$	−30.0112	+	4.52346i	−0.975233	+	0.146993i	−0.357956	+	0.933738i	$0.616526\pi$
$948$	2.13195	+	1.45354i	0.0692424	+	0.0472087i
$949$	0.0141916	+	0.0245806i	0.000460679	+	0.000797919i
$950$	−4.49654	+	7.78823i	−0.145887	+	0.252684i
$951$	−1.54191	+	0.742544i	−0.0499998	+	0.0240786i
$952$	−17.7621	−	11.6254i	−0.575672	−	0.376782i
$953$	−3.29398	−	1.58630i	−0.106702	−	0.0513852i	0.379771	−	0.925080i	$-0.376003\pi$
$953$	−3.29398	−	1.58630i	−0.106702	−	0.0513852i	−0.486474	+	0.873695i	$0.661717\pi$
$954$	−11.3303	+	7.72484i	−0.366831	+	0.250101i
$955$	−6.29502	+	5.84093i	−0.203702	+	0.189008i
$956$	1.10870	−	1.02873i	0.0358581	−	0.0332714i
$957$	−0.547132	+	0.373029i	−0.0176863	+	0.0120583i
$958$	11.6664	+	5.61825i	0.376925	+	0.181517i
$959$	−32.1372	+	10.5808i	−1.03776	+	0.341670i
$960$	0.610424	−	0.293965i	0.0197014	−	0.00948767i
$961$	7.81031	−	13.5279i	0.251945	−	0.436382i
$962$	−8.09356	−	14.0185i	−0.260947	−	0.451973i
$963$	33.8903	+	23.1060i	1.09210	+	0.744581i
$964$	17.2342	−	2.59763i	0.555075	−	0.0836641i
$965$	−4.17626	−	18.2974i	−0.134439	−	0.589014i
$966$	−0.719255	−	1.73565i	−0.0231417	−	0.0558436i
$967$	−5.29017	+	23.1777i	−0.170120	+	0.745346i	0.815828	+	0.578295i	$0.196282\pi$
$967$	−5.29017	+	23.1777i	−0.170120	+	0.745346i	−0.985948	+	0.167051i	$0.946575\pi$
$968$	−1.69000	+	22.5515i	−0.0543186	+	0.724832i
$969$	10.8658	−	3.35165i	0.349059	−	0.107670i
$970$	3.57152	−	9.10009i	0.114675	−	0.292186i
$971$	37.6408	+	11.6106i	1.20795	+	0.372603i	0.832387	−	0.554194i	$-0.186973\pi$
$971$	37.6408	+	11.6106i	1.20795	+	0.372603i	0.375562	+	0.926797i	$0.377450\pi$
$972$	−7.92250	+	9.93450i	−0.254114	+	0.318649i
$973$	−24.9697	+	0.470995i	−0.800492	+	0.0150994i
$974$	7.22444	+	9.05916i	0.231486	+	0.290274i
$975$	1.42176	+	3.62258i	0.0455327	+	0.116015i
$976$	−0.472890	−	6.31027i	−0.0151368	−	0.201987i
$977$	52.3766	+	7.89451i	1.67568	+	0.252568i	0.916996	−	0.398895i	$-0.130606\pi$
$977$	52.3766	+	7.89451i	1.67568	+	0.252568i	0.758680	+	0.651463i	$0.225844\pi$
$978$	2.33903	+	2.17030i	0.0747939	+	0.0693986i
$979$	19.6815			0.629024
$980$	−2.28324	−	8.51023i	−0.0729353	−	0.271849i
$981$	27.7349			0.885506
$982$	−20.9619	−	19.4498i	−0.668920	−	0.620667i
$983$	−49.7486	−	7.49839i	−1.58673	−	0.239161i	−0.704405	−	0.709798i	$-0.748786\pi$
$983$	−49.7486	−	7.49839i	−1.58673	−	0.239161i	−0.882327	+	0.470637i	$0.844024\pi$
$984$	−0.269748	−	3.59954i	−0.00859925	−	0.114749i
$985$	7.83478	+	19.9627i	0.249637	+	0.636065i
$986$	1.06153	+	1.33112i	0.0338060	+	0.0423914i
$987$	2.50283	−	12.0049i	0.0796659	−	0.382121i
$988$	3.47498	−	4.35749i	0.110554	−	0.138630i
$989$	4.62569	+	1.42684i	0.147088	+	0.0453708i
$990$	7.22628	−	18.4123i	0.229666	−	0.585180i
$991$	15.0814	−	4.65199i	0.479075	−	0.147775i	−0.0458063	−	0.998950i	$-0.514586\pi$
$991$	15.0814	−	4.65199i	0.479075	−	0.147775i	0.524882	+	0.851175i	$0.324110\pi$
$992$	0.293066	−	3.91069i	0.00930484	−	0.124165i
$993$	−1.94876	+	8.53807i	−0.0618420	+	0.270947i
$994$	−2.45834	+	4.44971i	−0.0779737	+	0.141136i
$995$	3.02483	+	13.2526i	0.0958936	+	0.420137i
$996$	5.00409	−	0.754245i	0.158561	−	0.0238992i
$997$	−0.862522	−	0.588058i	−0.0273164	−	0.0186240i	0.549585	−	0.835438i	$-0.314786\pi$
$997$	−0.862522	−	0.588058i	−0.0273164	−	0.0186240i	−0.576901	+	0.816814i	$0.695738\pi$
$998$	13.6674	+	23.6727i	0.432634	+	0.749345i
$999$	11.7518	−	20.3547i	0.371811	−	0.643995i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	98.2.g.a.9.1	✓	24
3.2	odd	2		882.2.z.d.793.1		24
4.3	odd	2		784.2.bg.a.401.2		24
7.2	even	3		686.2.e.f.99.3		24
7.3	odd	6		686.2.g.c.67.1		24
7.4	even	3		686.2.g.a.67.2		24
7.5	odd	6		686.2.e.e.99.2		24
7.6	odd	2		686.2.g.b.177.2		24
49.2	even	21		686.2.e.f.589.3		24
49.11	even	21	inner	98.2.g.a.11.1	yes	24
49.13	odd	14		686.2.g.c.471.1		24
49.16	even	21		4802.2.a.i.1.7		12
49.33	odd	42		4802.2.a.k.1.6		12
49.36	even	7		686.2.g.a.471.2		24
49.38	odd	42		686.2.g.b.655.2		24
49.47	odd	42		686.2.e.e.589.2		24
147.11	odd	42		882.2.z.d.109.1		24
196.11	odd	42		784.2.bg.a.305.2		24

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
98.2.g.a.9.1	✓	24	1.1	even	1	trivial
98.2.g.a.11.1	yes	24	49.11	even	21	inner
686.2.e.e.99.2		24	7.5	odd	6
686.2.e.e.589.2		24	49.47	odd	42
686.2.e.f.99.3		24	7.2	even	3
686.2.e.f.589.3		24	49.2	even	21
686.2.g.a.67.2		24	7.4	even	3
686.2.g.a.471.2		24	49.36	even	7
686.2.g.b.177.2		24	7.6	odd	2
686.2.g.b.655.2		24	49.38	odd	42
686.2.g.c.67.1		24	7.3	odd	6
686.2.g.c.471.1		24	49.13	odd	14
784.2.bg.a.305.2		24	196.11	odd	42
784.2.bg.a.401.2		24	4.3	odd	2
882.2.z.d.109.1		24	147.11	odd	42
882.2.z.d.793.1		24	3.2	odd	2
4802.2.a.i.1.7		12	49.16	even	21
4802.2.a.k.1.6		12	49.33	odd	42

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:	\( N \)	\(=\)	\( 98 = 2 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	98.g (of order \(21\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(0.733052 + 0.680173i) q^{2} +(0.532240 + 0.0802223i) q^{3} +(0.0747301 + 0.997204i) q^{4} +(0.459870 + 1.17173i) q^{5} +(0.335594 + 0.420822i) q^{6} +(-1.68832 - 2.03705i) q^{7} +(-0.623490 + 0.781831i) q^{8} +(-2.58987 - 0.798871i) q^{9} +O(q^{10})\)	\(q+(0.733052 + 0.680173i) q^{2} +(0.532240 + 0.0802223i) q^{3} +(0.0747301 + 0.997204i) q^{4} +(0.459870 + 1.17173i) q^{5} +(0.335594 + 0.420822i) q^{6} +(-1.68832 - 2.03705i) q^{7} +(-0.623490 + 0.781831i) q^{8} +(-2.58987 - 0.798871i) q^{9} +(-0.459870 + 1.17173i) q^{10} +(5.54024 - 1.70894i) q^{11} +(-0.0402236 + 0.536747i) q^{12} +(-0.471031 + 2.06372i) q^{13} +(0.147925 - 2.64161i) q^{14} +(0.150762 + 0.660533i) q^{15} +(-0.988831 + 0.149042i) q^{16} +(-6.62937 - 4.51983i) q^{17} +(-1.35514 - 2.34718i) q^{18} +(-1.31648 + 2.28021i) q^{19} +(-1.13409 + 0.546148i) q^{20} +(-0.735172 - 1.21964i) q^{21} +(5.22365 + 2.51558i) q^{22} +(1.09005 - 0.743183i) q^{23} +(-0.394566 + 0.366104i) q^{24} +(2.50379 - 2.32318i) q^{25} +(-1.74898 + 1.19243i) q^{26} +(-2.76919 - 1.33357i) q^{27} +(1.90519 - 1.83582i) q^{28} +(-0.191182 + 0.0920683i) q^{29} +(-0.338760 + 0.586749i) q^{30} +(1.96083 + 3.39625i) q^{31} +(-0.826239 - 0.563320i) q^{32} +(3.08583 - 0.465114i) q^{33} +(-1.78541 - 7.82238i) q^{34} +(1.61047 - 2.91503i) q^{35} +(0.603095 - 2.64233i) q^{36} +(-0.571461 + 7.62562i) q^{37} +(-2.51599 + 0.776080i) q^{38} +(-0.416258 + 1.06061i) q^{39} +(-1.20282 - 0.371021i) q^{40} +(-4.18126 + 5.24313i) q^{41} +(0.290648 - 1.39410i) q^{42} +(2.28771 + 2.86870i) q^{43} +(2.11818 + 5.39704i) q^{44} +(-0.254945 - 3.40201i) q^{45} +(1.30456 + 0.196630i) q^{46} +(6.31247 + 5.85711i) q^{47} -0.538252 q^{48} +(-1.29917 + 6.87838i) q^{49} +3.41557 q^{50} +(-3.16582 - 2.93745i) q^{51} +(-2.09315 - 0.315492i) q^{52} +(-0.378107 - 5.04549i) q^{53} +(-1.12290 - 2.86111i) q^{54} +(4.55020 + 5.70577i) q^{55} +(2.64528 - 0.0498970i) q^{56} +(-0.883608 + 1.10801i) q^{57} +(-0.202769 - 0.0625458i) q^{58} +(4.53197 - 11.5473i) q^{59} +(-0.647420 + 0.199702i) q^{60} +(-0.472890 + 6.31027i) q^{61} +(-0.872650 + 3.82333i) q^{62} +(2.74519 + 6.62446i) q^{63} +(-0.222521 - 0.974928i) q^{64} +(-2.63474 + 0.397122i) q^{65} +(2.57843 + 1.75794i) q^{66} +(0.838966 + 1.45313i) q^{67} +(4.01177 - 6.94860i) q^{68} +(0.639788 - 0.308106i) q^{69} +(3.16328 - 1.04147i) q^{70} +(-1.73115 - 0.833679i) q^{71} +(2.23934 - 1.52676i) q^{72} +(0.00982919 - 0.00912015i) q^{73} +(-5.60565 + 5.20128i) q^{74} +(1.51899 - 1.03563i) q^{75} +(-2.37222 - 1.14240i) q^{76} +(-12.8349 - 8.40053i) q^{77} +(-1.02653 + 0.494353i) q^{78} +(2.39693 - 4.15161i) q^{79} +(-0.629371 - 1.09010i) q^{80} +(5.35114 + 3.64834i) q^{81} +(-6.63131 + 0.999509i) q^{82} +(-2.09213 - 9.16622i) q^{83} +(1.16129 - 0.824261i) q^{84} +(2.24737 - 9.84636i) q^{85} +(-0.274200 + 3.65895i) q^{86} +(-0.109141 + 0.0336654i) q^{87} +(-2.11818 + 5.39704i) q^{88} +(3.24383 + 1.00059i) q^{89} +(2.12707 - 2.66726i) q^{90} +(4.99916 - 2.52470i) q^{91} +(0.822565 + 1.03146i) q^{92} +(0.771176 + 1.96492i) q^{93} +(0.643517 + 8.58714i) q^{94} +(-3.27720 - 0.493959i) q^{95} +(-0.394566 - 0.366104i) q^{96} -7.76637 q^{97} +(-5.63085 + 4.15855i) q^{98} -15.7137 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 24 q - 2 q^{2} + 7 q^{3} + 2 q^{4} - 7 q^{6} + 4 q^{8} - 33 q^{9}+O(q^{10}) \) 24 * q - 2 * q^2 + 7 * q^3 + 2 * q^4 - 7 * q^6 + 4 * q^8 - 33 * q^9	\( 24 q - 2 q^{2} + 7 q^{3} + 2 q^{4} - 7 q^{6} + 4 q^{8} - 33 q^{9} - 7 q^{11} + 14 q^{13} - 7 q^{15} + 2 q^{16} - 7 q^{17} + 5 q^{18} - 7 q^{20} + 7 q^{21} - 7 q^{22} - 21 q^{23} + 4 q^{25} - 7 q^{26} - 35 q^{27} - 14 q^{28} - 11 q^{29} + 28 q^{31} - 2 q^{32} + 14 q^{33} + 7 q^{34} + 21 q^{35} + 3 q^{36} - 24 q^{37} - 7 q^{38} - 40 q^{39} + 14 q^{40} + 28 q^{41} - 21 q^{42} + 10 q^{43} + 21 q^{44} + 7 q^{45} + 42 q^{46} - 70 q^{47} - 14 q^{48} + 84 q^{49} + 8 q^{50} + 60 q^{51} - 7 q^{52} + 26 q^{53} + 63 q^{54} + 56 q^{55} + 21 q^{56} - 33 q^{57} - 30 q^{58} - 7 q^{59} + 14 q^{60} + 14 q^{61} + 28 q^{62} - 14 q^{63} - 4 q^{64} - 21 q^{66} - 36 q^{67} - 14 q^{68} - 35 q^{69} + 14 q^{70} - 2 q^{72} - 7 q^{73} - 11 q^{74} - 28 q^{75} - 91 q^{77} - 24 q^{78} - 26 q^{79} + 55 q^{81} + 14 q^{82} - 7 q^{83} - 21 q^{84} + 49 q^{85} - 16 q^{86} + 35 q^{87} - 21 q^{88} - 56 q^{89} - 21 q^{90} + 7 q^{91} + 21 q^{92} + 72 q^{93} - 35 q^{94} - 14 q^{95} - 126 q^{97} - 56 q^{98} - 14 q^{99}+O(q^{100}) \) 24 * q - 2 * q^2 + 7 * q^3 + 2 * q^4 - 7 * q^6 + 4 * q^8 - 33 * q^9 - 7 * q^11 + 14 * q^13 - 7 * q^15 + 2 * q^16 - 7 * q^17 + 5 * q^18 - 7 * q^20 + 7 * q^21 - 7 * q^22 - 21 * q^23 + 4 * q^25 - 7 * q^26 - 35 * q^27 - 14 * q^28 - 11 * q^29 + 28 * q^31 - 2 * q^32 + 14 * q^33 + 7 * q^34 + 21 * q^35 + 3 * q^36 - 24 * q^37 - 7 * q^38 - 40 * q^39 + 14 * q^40 + 28 * q^41 - 21 * q^42 + 10 * q^43 + 21 * q^44 + 7 * q^45 + 42 * q^46 - 70 * q^47 - 14 * q^48 + 84 * q^49 + 8 * q^50 + 60 * q^51 - 7 * q^52 + 26 * q^53 + 63 * q^54 + 56 * q^55 + 21 * q^56 - 33 * q^57 - 30 * q^58 - 7 * q^59 + 14 * q^60 + 14 * q^61 + 28 * q^62 - 14 * q^63 - 4 * q^64 - 21 * q^66 - 36 * q^67 - 14 * q^68 - 35 * q^69 + 14 * q^70 - 2 * q^72 - 7 * q^73 - 11 * q^74 - 28 * q^75 - 91 * q^77 - 24 * q^78 - 26 * q^79 + 55 * q^81 + 14 * q^82 - 7 * q^83 - 21 * q^84 + 49 * q^85 - 16 * q^86 + 35 * q^87 - 21 * q^88 - 56 * q^89 - 21 * q^90 + 7 * q^91 + 21 * q^92 + 72 * q^93 - 35 * q^94 - 14 * q^95 - 126 * q^97 - 56 * q^98 - 14 * q^99

Introduction

L-functions

Modular forms

Varieties

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Database

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