LMFDB - Embedded newform 98.2.g.b.9.2

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			9.2
Character	$\chi$	$=$	98.9
Dual form			98.2.g.b.11.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.733052 - 0.680173i) q^{2} +(1.10442 + 0.166465i) q^{3} +(0.0747301 + 0.997204i) q^{4} +(0.578784 + 1.47472i) q^{5} +(-0.696376 - 0.873227i) q^{6} +(2.58946 - 0.542854i) q^{7} +(0.623490 - 0.781831i) q^{8} +(-1.67467 - 0.516569i) q^{9} +O(q^{10})$	\(q+(-0.733052 - 0.680173i) q^{2} +(1.10442 + 0.166465i) q^{3} +(0.0747301 + 0.997204i) q^{4} +(0.578784 + 1.47472i) q^{5} +(-0.696376 - 0.873227i) q^{6} +(2.58946 - 0.542854i) q^{7} +(0.623490 - 0.781831i) q^{8} +(-1.67467 - 0.516569i) q^{9} +(0.578784 - 1.47472i) q^{10} +(-0.734902 + 0.226687i) q^{11} +(-0.0834660 + 1.11378i) q^{12} +(0.735199 - 3.22112i) q^{13} +(-2.26744 - 1.36334i) q^{14} +(0.393735 + 1.72506i) q^{15} +(-0.988831 + 0.149042i) q^{16} +(-0.796729 - 0.543201i) q^{17} +(0.876267 + 1.51774i) q^{18} +(-2.06671 + 3.57965i) q^{19} +(-1.42734 + 0.687372i) q^{20} +(2.95023 - 0.168486i) q^{21} +(0.692907 + 0.333687i) q^{22} +(-6.65727 + 4.53885i) q^{23} +(0.818745 - 0.759685i) q^{24} +(1.82546 - 1.69378i) q^{25} +(-2.72986 + 1.86118i) q^{26} +(-4.78244 - 2.30310i) q^{27} +(0.734846 + 2.54165i) q^{28} +(-4.14643 + 1.99682i) q^{29} +(0.884713 - 1.53237i) q^{30} +(-2.36886 - 4.10299i) q^{31} +(0.826239 + 0.563320i) q^{32} +(-0.849379 + 0.128023i) q^{33} +(0.214573 + 0.940107i) q^{34} +(2.29930 + 3.50453i) q^{35} +(0.389976 - 1.70860i) q^{36} +(0.0834174 - 1.11313i) q^{37} +(3.94979 - 1.21835i) q^{38} +(1.34818 - 3.43510i) q^{39} +(1.51385 + 0.466960i) q^{40} +(5.37914 - 6.74523i) q^{41} +(-2.27727 - 1.88316i) q^{42} +(7.53399 + 9.44733i) q^{43} +(-0.280973 - 0.715906i) q^{44} +(-0.207482 - 2.76866i) q^{45} +(7.96733 + 1.20088i) q^{46} +(-3.08197 - 2.85965i) q^{47} -1.11690 q^{48} +(6.41062 - 2.81140i) q^{49} -2.49021 q^{50} +(-0.789503 - 0.732552i) q^{51} +(3.26705 + 0.492429i) q^{52} +(0.0628221 + 0.838303i) q^{53} +(1.93927 + 4.94118i) q^{54} +(-0.759649 - 0.952570i) q^{55} +(1.19008 - 2.36299i) q^{56} +(-2.87842 + 3.60942i) q^{57} +(4.39773 + 1.35652i) q^{58} +(1.53865 - 3.92043i) q^{59} +(-1.69082 + 0.521548i) q^{60} +(0.926739 - 12.3665i) q^{61} +(-1.05424 + 4.61894i) q^{62} +(-4.61693 - 0.428532i) q^{63} +(-0.222521 - 0.974928i) q^{64} +(5.17577 - 0.780121i) q^{65} +(0.709717 + 0.483877i) q^{66} +(3.04309 + 5.27079i) q^{67} +(0.482142 - 0.835095i) q^{68} +(-8.10802 + 3.90462i) q^{69} +(0.698184 - 4.13292i) q^{70} +(2.21114 + 1.06483i) q^{71} +(-1.44801 + 0.987238i) q^{72} +(-10.2470 + 9.50785i) q^{73} +(-0.818269 + 0.759242i) q^{74} +(2.29803 - 1.56677i) q^{75} +(-3.72409 - 1.79343i) q^{76} +(-1.77994 + 0.985941i) q^{77} +(-3.32474 + 1.60111i) q^{78} +(-4.06557 + 7.04177i) q^{79} +(-0.792115 - 1.37198i) q^{80} +(-0.554420 - 0.377997i) q^{81} +(-8.53111 + 1.28586i) q^{82} +(2.61520 + 11.4579i) q^{83} +(0.388486 + 2.92939i) q^{84} +(0.339934 - 1.48935i) q^{85} +(0.903007 - 12.0498i) q^{86} +(-4.91182 + 1.51510i) q^{87} +(-0.280973 + 0.715906i) q^{88} +(1.72774 + 0.532938i) q^{89} +(-1.73107 + 2.17069i) q^{90} +(0.155175 - 8.74007i) q^{91} +(-5.02366 - 6.29947i) q^{92} +(-1.93323 - 4.92578i) q^{93} +(0.314188 + 4.19255i) q^{94} +(-6.47516 - 0.975973i) q^{95} +(0.818745 + 0.759685i) q^{96} +15.7253 q^{97} +(-6.61155 - 2.29943i) q^{98} +1.34782 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} + 19 q^{9}+O(q^{10}) $ 24 * q + 2 * q^2 - 7 * q^3 + 2 * q^4 - 7 * q^6 - 4 * q^8 + 19 * q^9	\( 24 q + 2 q^{2} - 7 q^{3} + 2 q^{4} - 7 q^{6} - 4 q^{8} + 19 q^{9} - 11 q^{11} - 14 q^{13} + 9 q^{15} + 2 q^{16} - 7 q^{17} - 9 q^{18} - 14 q^{19} - 7 q^{20} - 7 q^{21} + q^{22} - 29 q^{23} - 8 q^{25} - 7 q^{26} - 7 q^{27} + 14 q^{28} + 13 q^{29} - 8 q^{30} - 28 q^{31} + 2 q^{32} - 14 q^{33} - 7 q^{34} - 35 q^{35} - 17 q^{36} + 20 q^{37} + 35 q^{38} + 56 q^{39} + 14 q^{40} + 28 q^{41} - 21 q^{42} + 6 q^{43} + 3 q^{44} + 7 q^{45} + 34 q^{46} + 42 q^{47} + 14 q^{48} + 28 q^{49} + 16 q^{50} + 32 q^{51} - 7 q^{52} - 60 q^{53} + 21 q^{54} - 14 q^{55} + 7 q^{56} + 23 q^{57} + 18 q^{58} + 49 q^{59} + 6 q^{60} - 14 q^{61} - 28 q^{63} - 4 q^{64} - 28 q^{65} + 21 q^{66} + 24 q^{67} - 14 q^{68} + 7 q^{69} - 28 q^{70} + 6 q^{71} - 2 q^{72} - 35 q^{73} - 15 q^{74} - 56 q^{75} + 49 q^{77} + 6 q^{79} - 14 q^{80} - 45 q^{81} - 14 q^{82} - 77 q^{83} - 21 q^{84} - 33 q^{85} - 38 q^{86} + 63 q^{87} + 3 q^{88} - 21 q^{90} - 21 q^{91} - 5 q^{92} - 38 q^{93} - 35 q^{94} + 86 q^{95} + 98 q^{97} + 28 q^{98} - 106 q^{99}+O(q^{100}) \) 24 * q + 2 * q^2 - 7 * q^3 + 2 * q^4 - 7 * q^6 - 4 * q^8 + 19 * q^9 - 11 * q^11 - 14 * q^13 + 9 * q^15 + 2 * q^16 - 7 * q^17 - 9 * q^18 - 14 * q^19 - 7 * q^20 - 7 * q^21 + q^22 - 29 * q^23 - 8 * q^25 - 7 * q^26 - 7 * q^27 + 14 * q^28 + 13 * q^29 - 8 * q^30 - 28 * q^31 + 2 * q^32 - 14 * q^33 - 7 * q^34 - 35 * q^35 - 17 * q^36 + 20 * q^37 + 35 * q^38 + 56 * q^39 + 14 * q^40 + 28 * q^41 - 21 * q^42 + 6 * q^43 + 3 * q^44 + 7 * q^45 + 34 * q^46 + 42 * q^47 + 14 * q^48 + 28 * q^49 + 16 * q^50 + 32 * q^51 - 7 * q^52 - 60 * q^53 + 21 * q^54 - 14 * q^55 + 7 * q^56 + 23 * q^57 + 18 * q^58 + 49 * q^59 + 6 * q^60 - 14 * q^61 - 28 * q^63 - 4 * q^64 - 28 * q^65 + 21 * q^66 + 24 * q^67 - 14 * q^68 + 7 * q^69 - 28 * q^70 + 6 * q^71 - 2 * q^72 - 35 * q^73 - 15 * q^74 - 56 * q^75 + 49 * q^77 + 6 * q^79 - 14 * q^80 - 45 * q^81 - 14 * q^82 - 77 * q^83 - 21 * q^84 - 33 * q^85 - 38 * q^86 + 63 * q^87 + 3 * q^88 - 21 * q^90 - 21 * q^91 - 5 * q^92 - 38 * q^93 - 35 * q^94 + 86 * q^95 + 98 * q^97 + 28 * q^98 - 106 * 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
$3$	1.10442	+	0.166465i	0.637640	+	0.0961088i	0.459903	−	0.887969i	$-0.347884\pi$
$3$	1.10442	+	0.166465i	0.637640	+	0.0961088i	0.177737	+	0.984078i	$0.443122\pi$
$4$	0.0747301	+	0.997204i	0.0373650	+	0.498602i
$5$	0.578784	+	1.47472i	0.258840	+	0.659514i	0.999929	−	0.0118926i	$-0.00378561\pi$
$5$	0.578784	+	1.47472i	0.258840	+	0.659514i	−0.741089	+	0.671407i	$0.765690\pi$
$6$	−0.696376	−	0.873227i	−0.284294	−	0.356494i
$7$	2.58946	−	0.542854i	0.978724	−	0.205179i
$7$	2.58946	−	0.542854i	0.978724	−	0.205179i
$8$	0.623490	−	0.781831i	0.220437	−	0.276419i
$9$	−1.67467	−	0.516569i	−0.558225	−	0.172190i
$10$	0.578784	−	1.47472i	0.183028	−	0.466347i
$11$	−0.734902	+	0.226687i	−0.221581	+	0.0683487i	−0.403558	−	0.914954i	$-0.632227\pi$
$11$	−0.734902	+	0.226687i	−0.221581	+	0.0683487i	0.181977	+	0.983303i	$0.441750\pi$
$12$	−0.0834660	+	1.11378i	−0.0240946	+	0.321520i
$13$	0.735199	−	3.22112i	0.203908	−	0.893378i	−0.764622	−	0.644479i	$-0.777074\pi$
$13$	0.735199	−	3.22112i	0.203908	−	0.893378i	0.968530	−	0.248899i	$-0.0800686\pi$
$14$	−2.26744	−	1.36334i	−0.606000	−	0.364368i
$15$	0.393735	+	1.72506i	0.101662	+	0.445409i
$16$	−0.988831	+	0.149042i	−0.247208	+	0.0372606i
$17$	−0.796729	−	0.543201i	−0.193235	−	0.131745i	0.462838	−	0.886443i	$-0.346831\pi$
$17$	−0.796729	−	0.543201i	−0.193235	−	0.131745i	−0.656073	+	0.754698i	$0.727784\pi$
$18$	0.876267	+	1.51774i	0.206538	+	0.357735i
$19$	−2.06671	+	3.57965i	−0.474136	+	0.821228i	−0.999561	−	0.0296115i	$-0.990573\pi$
$19$	−2.06671	+	3.57965i	−0.474136	+	0.821228i	0.525425	+	0.850840i	$0.323906\pi$
$20$	−1.42734	+	0.687372i	−0.319163	+	0.153701i
$21$	2.95023	−	0.168486i	0.643793	−	0.0367666i
$22$	0.692907	+	0.333687i	0.147728	+	0.0711422i
$23$	−6.65727	+	4.53885i	−1.38814	+	0.946416i	−0.388448	+	0.921471i	$0.626989\pi$
$23$	−6.65727	+	4.53885i	−1.38814	+	0.946416i	−0.999689	+	0.0249452i	$0.992059\pi$
$24$	0.818745	−	0.759685i	0.167126	−	0.155070i
$25$	1.82546	−	1.69378i	0.365091	−	0.338755i
$26$	−2.72986	+	1.86118i	−0.535369	+	0.365008i
$27$	−4.78244	−	2.30310i	−0.920381	−	0.443232i
$28$	0.734846	+	2.54165i	0.138873	+	0.480327i
$29$	−4.14643	+	1.99682i	−0.769973	+	0.370799i	−0.777265	−	0.629174i	$-0.783393\pi$
$29$	−4.14643	+	1.99682i	−0.769973	+	0.370799i	0.00729149	+	0.999973i	$0.497679\pi$
$30$	0.884713	−	1.53237i	0.161526	−	0.279771i
$31$	−2.36886	−	4.10299i	−0.425460	−	0.736919i	0.571003	−	0.820948i	$-0.306555\pi$
$31$	−2.36886	−	4.10299i	−0.425460	−	0.736919i	−0.996463	+	0.0840289i	$0.973221\pi$
$32$	0.826239	+	0.563320i	0.146060	+	0.0995819i
$33$	−0.849379	+	0.128023i	−0.147858	+	0.0222860i
$34$	0.214573	+	0.940107i	0.0367990	+	0.161227i
$35$	2.29930	+	3.50453i	0.388652	+	0.592374i
$36$	0.389976	−	1.70860i	0.0649959	−	0.284766i
$37$	0.0834174	−	1.11313i	0.0137137	−	0.182997i	−0.986140	−	0.165913i	$-0.946943\pi$
$37$	0.0834174	−	1.11313i	0.0137137	−	0.182997i	0.999854	−	0.0170837i	$-0.00543817\pi$
$38$	3.94979	−	1.21835i	0.640740	−	0.197642i
$39$	1.34818	−	3.43510i	0.215881	−	0.550056i
$40$	1.51385	+	0.466960i	0.239360	+	0.0738329i
$41$	5.37914	−	6.74523i	0.840080	−	1.05343i	−0.157743	−	0.987480i	$-0.550422\pi$
$41$	5.37914	−	6.74523i	0.840080	−	1.05343i	0.997823	−	0.0659471i	$-0.0210069\pi$
$42$	−2.27727	−	1.88316i	−0.351391	−	0.290578i
$43$	7.53399	+	9.44733i	1.14892	+	1.44070i	0.878359	+	0.478002i	$0.158639\pi$
$43$	7.53399	+	9.44733i	1.14892	+	1.44070i	0.270564	+	0.962702i	$0.412790\pi$
$44$	−0.280973	−	0.715906i	−0.0423582	−	0.107927i
$45$	−0.207482	−	2.76866i	−0.0309296	−	0.412727i
$46$	7.96733	+	1.20088i	1.17472	+	0.177060i
$47$	−3.08197	−	2.85965i	−0.449552	−	0.417123i	0.422632	−	0.906301i	$-0.361106\pi$
$47$	−3.08197	−	2.85965i	−0.449552	−	0.417123i	−0.872184	+	0.489178i	$0.837297\pi$
$48$	−1.11690			−0.161211
$49$	6.41062	−	2.81140i	0.915803	−	0.401628i
$50$	−2.49021			−0.352169
$51$	−0.789503	−	0.732552i	−0.110553	−	0.102578i
$52$	3.26705	+	0.492429i	0.453059	+	0.0682876i
$53$	0.0628221	+	0.838303i	0.00862928	+	0.115150i	0.999855	−	0.0170305i	$-0.00542125\pi$
$53$	0.0628221	+	0.838303i	0.00862928	+	0.115150i	−0.991226	+	0.132180i	$0.957802\pi$
$54$	1.93927	+	4.94118i	0.263901	+	0.672409i
$55$	−0.759649	−	0.952570i	−0.102431	−	0.128445i
$56$	1.19008	−	2.36299i	0.159031	−	0.315767i
$57$	−2.87842	+	3.60942i	−0.381256	+	0.478079i
$58$	4.39773	+	1.35652i	0.577450	+	0.178120i
$59$	1.53865	−	3.92043i	0.200316	−	0.510396i	−0.795052	−	0.606542i	$-0.792556\pi$
$59$	1.53865	−	3.92043i	0.200316	−	0.510396i	0.995367	+	0.0961457i	$0.0306515\pi$
$60$	−1.69082	+	0.521548i	−0.218283	+	0.0673315i
$61$	0.926739	−	12.3665i	0.118657	−	1.58337i	−0.547016	−	0.837122i	$-0.684236\pi$
$61$	0.926739	−	12.3665i	0.118657	−	1.58337i	0.665673	−	0.746243i	$-0.268145\pi$
$62$	−1.05424	+	4.61894i	−0.133889	+	0.586606i
$63$	−4.61693	−	0.428532i	−0.581678	−	0.0539899i
$64$	−0.222521	−	0.974928i	−0.0278151	−	0.121866i
$65$	5.17577	−	0.780121i	0.641975	−	0.0967621i
$66$	0.709717	+	0.483877i	0.0873601	+	0.0595611i
$67$	3.04309	+	5.27079i	0.371773	+	0.643930i	0.989838	−	0.142197i	$-0.0454166\pi$
$67$	3.04309	+	5.27079i	0.371773	+	0.643930i	−0.618065	+	0.786127i	$0.712083\pi$
$68$	0.482142	−	0.835095i	0.0584683	−	0.101270i
$69$	−8.10802	+	3.90462i	−0.976091	+	0.470060i
$70$	0.698184	−	4.13292i	0.0834489	−	0.493979i
$71$	2.21114	+	1.06483i	0.262414	+	0.126372i	0.560465	−	0.828178i	$-0.310622\pi$
$71$	2.21114	+	1.06483i	0.262414	+	0.126372i	−0.298051	+	0.954550i	$0.596337\pi$
$72$	−1.44801	+	0.987238i	−0.170650	+	0.116347i
$73$	−10.2470	+	9.50785i	−1.19932	+	1.11281i	−0.208448	+	0.978033i	$0.566841\pi$
$73$	−10.2470	+	9.50785i	−1.19932	+	1.11281i	−0.990876	+	0.134777i	$0.956968\pi$
$74$	−0.818269	+	0.759242i	−0.0951218	+	0.0882601i
$75$	2.29803	−	1.56677i	0.265354	−	0.180915i
$76$	−3.72409	−	1.79343i	−0.427182	−	0.205720i
$77$	−1.77994	+	0.985941i	−0.202843	+	0.112358i
$78$	−3.32474	+	1.60111i	−0.376453	+	0.181290i
$79$	−4.06557	+	7.04177i	−0.457412	+	0.792261i	−0.998823	−	0.0484966i	$-0.984557\pi$
$79$	−4.06557	+	7.04177i	−0.457412	+	0.792261i	0.541411	+	0.840758i	$0.317890\pi$
$80$	−0.792115	−	1.37198i	−0.0885612	−	0.153392i
$81$	−0.554420	−	0.377997i	−0.0616023	−	0.0419997i
$82$	−8.53111	+	1.28586i	−0.942103	+	0.141999i
$83$	2.61520	+	11.4579i	0.287056	+	1.25767i	0.888544	+	0.458791i	$0.151717\pi$
$83$	2.61520	+	11.4579i	0.287056	+	1.25767i	−0.601489	+	0.798881i	$0.705425\pi$
$84$	0.388486	+	2.92939i	0.0423873	+	0.319623i
$85$	0.339934	−	1.48935i	0.0368710	−	0.161542i
$86$	0.903007	−	12.0498i	0.0973738	−	1.29936i
$87$	−4.91182	+	1.51510i	−0.526603	+	0.162435i
$88$	−0.280973	+	0.715906i	−0.0299518	+	0.0763159i
$89$	1.72774	+	0.532938i	0.183140	+	0.0564913i	0.384969	−	0.922930i	$-0.374212\pi$
$89$	1.72774	+	0.532938i	0.183140	+	0.0564913i	−0.201829	+	0.979421i	$0.564688\pi$
$90$	−1.73107	+	2.17069i	−0.182471	+	0.228811i
$91$	0.155175	−	8.74007i	0.0162667	−	0.916208i
$92$	−5.02366	−	6.29947i	−0.523753	−	0.656765i
$93$	−1.93323	−	4.92578i	−0.200466	−	0.510780i
$94$	0.314188	+	4.19255i	0.0324060	+	0.432429i
$95$	−6.47516	−	0.975973i	−0.664337	−	0.100133i
$96$	0.818745	+	0.759685i	0.0835629	+	0.0775350i
$97$	15.7253			1.59667			0.798333	−	0.602216i	$-0.205716\pi$
$97$	15.7253			1.59667			0.798333	+	0.602216i	$0.205716\pi$
$98$	−6.61155	−	2.29943i	−0.667868	−	0.232277i
$99$	1.34782			0.135461
$100$	1.82546	+	1.69378i	0.182546	+	0.169378i
$101$	9.89118	+	1.49085i	0.984209	+	0.148346i	0.621379	−	0.783510i	$-0.286573\pi$
$101$	9.89118	+	1.49085i	0.984209	+	0.148346i	0.362829	+	0.931856i	$0.381811\pi$
$102$	0.0804850	+	1.07400i	0.00796920	+	0.106342i
$103$	−0.369265	−	0.940872i	−0.0363847	−	0.0927068i	0.911527	−	0.411241i	$-0.134905\pi$
$103$	−0.369265	−	0.940872i	−0.0363847	−	0.0927068i	−0.947911	+	0.318534i	$0.896809\pi$
$104$	−2.05998	−	2.58314i	−0.201998	−	0.253297i
$105$	1.95602	+	4.25325i	0.190888	+	0.415074i
$106$	0.524139	−	0.657250i	0.0509089	−	0.0638377i
$107$	17.0912	+	5.27194i	1.65227	+	0.509658i	0.974266	−	0.225401i	$-0.0723693\pi$
$107$	17.0912	+	5.27194i	1.65227	+	0.509658i	0.678003	+	0.735059i	$0.262846\pi$
$108$	1.93927	−	4.94118i	0.186606	−	0.475465i
$109$	−12.8078	+	3.95068i	−1.22676	+	0.378407i	−0.839397	−	0.543519i	$-0.817092\pi$
$109$	−12.8078	+	3.95068i	−1.22676	+	0.378407i	−0.387367	+	0.921926i	$0.626615\pi$
$110$	−0.0910499	+	1.21498i	−0.00868126	+	0.115843i
$111$	0.277425	−	1.21548i	0.0263321	−	0.115368i
$112$	−2.47963	+	0.922730i	−0.234303	+	0.0871897i
$113$	−3.68372	−	16.1394i	−0.346535	−	1.51827i	−0.784986	−	0.619514i	$-0.787330\pi$
$113$	−3.68372	−	16.1394i	−0.346535	−	1.51827i	0.438451	−	0.898755i	$-0.355527\pi$
$114$	4.56506	−	0.688072i	0.427557	−	0.0644438i
$115$	−10.5467	−	7.19059i	−0.983480	−	0.670526i
$116$	−2.30110	−	3.98562i	−0.213651	−	0.370055i
$117$	−2.89515	+	5.01455i	−0.267657	+	0.463595i
$118$	−3.79448	+	1.82733i	−0.349310	+	0.168219i
$119$	−2.35798	−	0.974090i	−0.216155	−	0.0892947i
$120$	1.59420	+	0.767726i	0.145530	+	0.0700834i
$121$	−8.59993	+	5.86334i	−0.781812	+	0.533030i
$122$	−9.09069	+	8.43493i	−0.823032	+	0.763662i
$123$	7.06370	−	6.55416i	0.636912	−	0.590968i
$124$	3.91449	−	2.66886i	0.351532	−	0.239670i
$125$	10.6911	+	5.14856i	0.956241	+	0.460501i
$126$	3.09297	+	3.45444i	0.275544	+	0.307746i
$127$	−0.436049	+	0.209990i	−0.0386931	+	0.0186336i	−0.453130	−	0.891444i	$-0.649693\pi$
$127$	−0.436049	+	0.209990i	−0.0386931	+	0.0186336i	0.414437	+	0.910078i	$0.363978\pi$
$128$	−0.500000	+	0.866025i	−0.0441942	+	0.0765466i
$129$	6.74808	+	11.6880i	0.594135	+	1.02907i
$130$	−4.32472	−	2.94855i	−0.379303	−	0.258605i
$131$	8.13962	−	1.22685i	0.711162	−	0.107190i	0.216509	−	0.976281i	$-0.430533\pi$
$131$	8.13962	−	1.22685i	0.711162	−	0.107190i	0.494654	+	0.869090i	$0.335295\pi$
$132$	−0.191140	−	0.837437i	−0.0166366	−	0.0728895i
$133$	−3.40845	+	10.3913i	−0.295550	+	0.901039i
$134$	1.35430	−	5.93360i	0.116994	−	0.512585i
$135$	0.628425	−	8.38575i	0.0540862	−	0.721730i
$136$	−0.921444	+	0.284228i	−0.0790131	+	0.0243723i
$137$	−2.44646	+	6.23349i	−0.209016	+	0.532563i	−0.996483	−	0.0837931i	$-0.973297\pi$
$137$	−2.44646	+	6.23349i	−0.209016	+	0.532563i	0.787468	+	0.616356i	$0.211392\pi$
$138$	8.59941	+	2.65257i	0.732030	+	0.225801i
$139$	7.50733	−	9.41389i	0.636763	−	0.798476i	−0.353831	−	0.935309i	$-0.615121\pi$
$139$	7.50733	−	9.41389i	0.636763	−	0.798476i	0.990594	+	0.136833i	$0.0436925\pi$
$140$	−3.32291	+	2.55476i	−0.280837	+	0.215917i
$141$	−2.92778	−	3.67132i	−0.246563	−	0.309181i
$142$	−0.896612	−	2.28453i	−0.0752420	−	0.191714i
$143$	0.189887	+	2.53387i	0.0158791	+	0.211893i
$144$	1.73296	+	0.261202i	0.144413	+	0.0217668i
$145$	−5.34463	−	4.95909i	−0.443848	−	0.411830i
$146$	13.9786			1.15688
$147$	7.54805	−	2.03783i	0.622553	−	0.168077i
$148$	1.11625			0.0917551
$149$	6.59237	+	6.11683i	0.540068	+	0.501110i	0.902377	−	0.430948i	$-0.141821\pi$
$149$	6.59237	+	6.11683i	0.540068	+	0.501110i	−0.362309	+	0.932058i	$0.618011\pi$
$150$	−2.75025	−	0.414534i	−0.224557	−	0.0338466i
$151$	−1.15031	−	15.3498i	−0.0936106	−	1.24915i	−0.824188	−	0.566317i	$-0.808368\pi$
$151$	−1.15031	−	15.3498i	−0.0936106	−	1.24915i	0.730577	−	0.682830i	$-0.239251\pi$
$152$	1.51011	+	3.84770i	0.122486	+	0.312089i
$153$	1.05366	+	1.32125i	0.0851835	+	0.106817i
$154$	1.97540	+	0.487921i	0.159182	+	0.0393178i
$155$	4.67970	−	5.86816i	0.375882	−	0.471342i
$156$	3.52624	+	1.08770i	0.282325	+	0.0870859i
$157$	−3.02278	+	7.70193i	−0.241244	+	0.614681i	−0.999296	−	0.0375137i	$-0.988056\pi$
$157$	−3.02278	+	7.70193i	−0.241244	+	0.614681i	0.758052	+	0.652194i	$0.226151\pi$
$158$	7.76990	−	2.39670i	0.618140	−	0.190671i
$159$	−0.0701660	+	0.936301i	−0.00556453	+	0.0742535i
$160$	−0.352524	+	1.54451i	−0.0278695	+	0.122104i
$161$	−14.7748	+	15.3671i	−1.16442	+	1.21110i
$162$	0.149315	+	0.654193i	0.0117313	+	0.0513983i
$163$	−3.15939	+	0.476202i	−0.247463	+	0.0372990i	−0.271602	−	0.962410i	$-0.587554\pi$
$163$	−3.15939	+	0.476202i	−0.247463	+	0.0372990i	0.0241395	+	0.999709i	$0.492315\pi$
$164$	7.12835	+	4.86003i	0.556630	+	0.379504i
$165$	−0.680406	−	1.17850i	−0.0529695	−	0.0917459i
$166$	5.87630	−	10.1781i	0.456090	−	0.789970i
$167$	−21.5809	+	10.3928i	−1.66998	+	0.804220i	−0.672009	+	0.740543i	$0.734568\pi$
$167$	−21.5809	+	10.3928i	−1.66998	+	0.804220i	−0.997971	+	0.0636769i	$0.979717\pi$
$168$	1.70771	−	2.41163i	0.131753	−	0.186062i
$169$	1.87750	+	0.904158i	0.144423	+	0.0695506i
$170$	−1.26220	+	0.860555i	−0.0968065	+	0.0660016i
$171$	5.31021	−	4.92715i	0.406082	−	0.376789i
$172$	−8.85789	+	8.21893i	−0.675408	+	0.626687i
$173$	20.3728	−	13.8899i	1.54892	−	1.05603i	0.578173	−	0.815914i	$-0.303766\pi$
$173$	20.3728	−	13.8899i	1.54892	−	1.05603i	0.970744	−	0.240119i	$-0.0771864\pi$
$174$	4.63115	+	2.23024i	0.351086	+	0.169074i
$175$	3.80747	−	5.37692i	0.287818	−	0.406457i
$176$	0.692907	−	0.333687i	0.0522299	−	0.0251526i
$177$	2.35194	−	4.07369i	0.176783	−	0.306197i
$178$	−0.904035	−	1.56583i	−0.0677603	−	0.117364i
$179$	−4.09779	−	2.79382i	−0.306283	−	0.208820i	0.400418	−	0.916333i	$-0.368865\pi$
$179$	−4.09779	−	2.79382i	−0.306283	−	0.208820i	−0.706701	+	0.707512i	$0.749817\pi$
$180$	2.74541	−	0.413804i	0.204631	−	0.0308431i
$181$	0.992491	+	4.34839i	0.0737713	+	0.323213i	0.998326	−	0.0578359i	$-0.0184200\pi$
$181$	0.992491	+	4.34839i	0.0737713	+	0.323213i	−0.924555	+	0.381049i	$0.875563\pi$
$182$	−6.05851	+	6.30138i	−0.449087	+	0.467089i
$183$	3.08210	−	13.5036i	0.227836	−	0.998213i
$184$	−0.602124	+	8.03479i	−0.0443892	+	0.592333i
$185$	1.68983	−	0.521244i	0.124239	−	0.0383226i
$186$	−1.93323	+	4.92578i	−0.141751	+	0.361176i
$187$	0.708654	+	0.218591i	0.0518219	+	0.0159849i
$188$	2.62134	−	3.28706i	0.191181	−	0.239733i
$189$	−13.6342	−	3.36763i	−0.991741	−	0.244959i
$190$	4.08280	+	5.11967i	0.296197	+	0.371420i
$191$	−4.20684	−	10.7189i	−0.304396	−	0.775589i	−0.998449	−	0.0556654i	$-0.982272\pi$
$191$	−4.20684	−	10.7189i	−0.304396	−	0.775589i	0.694053	−	0.719924i	$-0.255823\pi$
$192$	−0.0834660	−	1.11378i	−0.00602364	−	0.0803799i
$193$	−24.2108	−	3.64920i	−1.74273	−	0.262675i	−0.800911	−	0.598783i	$-0.795651\pi$
$193$	−24.2108	−	3.64920i	−1.74273	−	0.262675i	−0.941823	+	0.336108i	$0.890889\pi$
$194$	−11.5275	−	10.6959i	−0.827625	−	0.767924i
$195$	5.84611			0.418649
$196$	3.28260	+	6.18260i	0.234472	+	0.441614i
$197$	−12.2255			−0.871031			−0.435515	−	0.900181i	$-0.643434\pi$
$197$	−12.2255			−0.871031			−0.435515	+	0.900181i	$0.643434\pi$
$198$	−0.988022	−	0.916751i	−0.0702157	−	0.0651506i
$199$	3.44434	+	0.519151i	0.244163	+	0.0368016i	0.269983	−	0.962865i	$-0.412982\pi$
$199$	3.44434	+	0.519151i	0.244163	+	0.0368016i	−0.0258207	+	0.999667i	$0.508220\pi$
$200$	−0.186094	−	2.48325i	−0.0131588	−	0.175592i
$201$	2.48347	+	6.32777i	0.175170	+	0.446326i
$202$	−6.23671	−	7.82058i	−0.438813	−	0.550254i
$203$	−9.65305	+	7.42158i	−0.677511	+	0.520893i
$204$	0.671504	−	0.842039i	0.0470147	−	0.0589545i
$205$	13.0607	+	4.02868i	0.912197	+	0.281375i
$206$	−0.369265	+	0.940872i	−0.0257279	+	0.0655536i
$207$	13.4934	−	4.16216i	0.937856	−	0.289290i
$208$	−0.246905	+	3.29472i	−0.0171198	+	0.228448i
$209$	0.707370	−	3.09919i	0.0489298	−	0.214375i
$210$	1.45908	−	4.44828i	0.100686	−	0.306960i
$211$	2.74992	+	12.0482i	0.189312	+	0.829432i	0.976980	+	0.213331i	$0.0684314\pi$
$211$	2.74992	+	12.0482i	0.189312	+	0.829432i	−0.787667	+	0.616101i	$0.788711\pi$
$212$	−0.831264	+	0.125293i	−0.0570915	+	0.00860516i
$213$	2.26478	+	1.54410i	0.155180	+	0.105800i
$214$	−8.94291	−	15.4896i	−0.611325	−	1.05885i
$215$	−9.57159	+	16.5785i	−0.652777	+	1.13064i
$216$	−4.78244	+	2.30310i	−0.325404	+	0.156706i
$217$	−8.36141	−	9.33859i	−0.567609	−	0.633945i
$218$	12.0759	+	5.81546i	0.817885	+	0.393872i
$219$	−12.8998	+	8.79494i	−0.871688	+	0.594307i
$220$	0.893138	−	0.828711i	0.0602153	−	0.0558717i
$221$	−2.33547	+	2.16700i	−0.157101	+	0.145768i
$222$	−1.03010	+	0.702313i	−0.0691360	+	0.0471361i
$223$	−13.5376	−	6.51935i	−0.906543	−	0.436568i	−0.0782951	−	0.996930i	$-0.524948\pi$
$223$	−13.5376	−	6.51935i	−0.906543	−	0.436568i	−0.828248	+	0.560362i	$0.810662\pi$
$224$	2.44531	+	1.01017i	0.163384	+	0.0674947i
$225$	−3.93200	+	1.89355i	−0.262133	+	0.126237i
$226$	−8.27724	+	14.3366i	−0.550594	+	0.953656i
$227$	5.32852	+	9.22927i	0.353667	+	0.612568i	0.986889	−	0.161402i	$-0.0516014\pi$
$227$	5.32852	+	9.22927i	0.353667	+	0.612568i	−0.633222	+	0.773970i	$0.718268\pi$
$228$	−3.81443	−	2.60064i	−0.252617	−	0.172231i
$229$	−15.5774	+	2.34792i	−1.02938	+	0.155155i	−0.641953	−	0.766744i	$-0.721876\pi$
$229$	−15.5774	+	2.34792i	−1.02938	+	0.155155i	−0.387431	+	0.921899i	$0.626638\pi$
$230$	2.84040	+	12.4446i	0.187291	+	0.820574i
$231$	−2.12994	+	0.792600i	−0.140140	+	0.0521492i
$232$	−1.02408	+	4.48681i	−0.0672344	+	0.294573i
$233$	1.55884	−	20.8012i	0.102123	−	1.36273i	−0.677056	−	0.735932i	$-0.736744\pi$
$233$	1.55884	−	20.8012i	0.102123	−	1.36273i	0.779179	−	0.626802i	$-0.215637\pi$
$234$	5.53305	−	1.70672i	0.361707	−	0.111572i
$235$	2.43339	−	6.20017i	0.158737	−	0.404454i
$236$	4.02445	+	1.24138i	0.261969	+	0.0808068i
$237$	−5.66233	+	7.10033i	−0.367808	+	0.461216i
$238$	1.06597	+	2.31789i	0.0690966	+	0.150246i
$239$	−6.64125	−	8.32786i	−0.429586	−	0.538684i	0.519179	−	0.854666i	$-0.326238\pi$
$239$	−6.64125	−	8.32786i	−0.429586	−	0.538684i	−0.948765	+	0.315981i	$0.897666\pi$
$240$	−0.646444	−	1.64711i	−0.0417278	−	0.106321i
$241$	0.462332	+	6.16939i	0.0297814	+	0.397406i	0.992097	+	0.125471i	$0.0400443\pi$
$241$	0.462332	+	6.16939i	0.0297814	+	0.397406i	−0.962316	+	0.271934i	$0.912337\pi$
$242$	10.2923	+	1.55131i	0.661613	+	0.0997221i
$243$	11.1240	+	10.3215i	0.713602	+	0.662126i
$244$	12.4012			0.793903
$245$	7.85639	+	7.82667i	0.501926	+	0.500028i
$246$	−9.63602			−0.614370
$247$	10.0110	+	9.28889i	0.636987	+	0.591038i
$248$	−4.68481	−	0.706122i	−0.297486	−	0.0448388i
$249$	0.980943	+	13.0898i	0.0621648	+	0.829531i
$250$	−4.33522	−	11.0460i	−0.274183	−	0.698608i
$251$	−11.2991	−	14.1686i	−0.713190	−	0.894313i	0.284741	−	0.958605i	$-0.408093\pi$
$251$	−11.2991	−	14.1686i	−0.713190	−	0.894313i	−0.997931	+	0.0642920i	$0.979521\pi$
$252$	0.0823101	−	4.63604i	0.00518505	−	0.292043i
$253$	3.86354	−	4.84473i	0.242899	−	0.304585i
$254$	0.462476	+	0.142655i	0.0290184	+	0.00895098i
$255$	0.623356	−	1.58828i	0.0390361	−	0.0994623i
$256$	0.955573	−	0.294755i	0.0597233	−	0.0184222i
$257$	1.18983	−	15.8771i	0.0742194	−	0.990388i	−0.828453	−	0.560059i	$-0.810778\pi$
$257$	1.18983	−	15.8771i	0.0742194	−	0.990388i	0.902672	−	0.430329i	$-0.141603\pi$
$258$	3.00318	−	13.1578i	0.186970	−	0.819167i
$259$	−0.388259	−	2.92768i	−0.0241253	−	0.181917i
$260$	1.16473	+	5.10300i	0.0722332	+	0.316474i
$261$	7.97542	−	1.20210i	0.493666	−	0.0744082i
$262$	−6.80124	−	4.63701i	−0.420182	−	0.286475i
$263$	9.30538	+	16.1174i	0.573794	+	0.993840i	0.996172	+	0.0874204i	$0.0278624\pi$
$263$	9.30538	+	16.1174i	0.573794	+	0.993840i	−0.422377	+	0.906420i	$0.638804\pi$
$264$	−0.429487	+	0.743893i	−0.0264331	+	0.0457834i
$265$	−1.19990	+	0.577842i	−0.0737093	+	0.0354965i
$266$	9.56644	−	5.29902i	0.586556	−	0.324904i
$267$	1.81945	+	0.876199i	0.111348	+	0.0536225i
$268$	−5.02865	+	3.42847i	−0.307173	+	0.209427i
$269$	19.0986	−	17.7209i	1.16446	−	1.08046i	0.168967	−	0.985622i	$-0.445957\pi$
$269$	19.0986	−	17.7209i	1.16446	−	1.08046i	0.995493	−	0.0948392i	$-0.0302337\pi$
$270$	−6.16443	+	5.71975i	−0.375155	+	0.348093i
$271$	1.30802	−	0.891794i	0.0794567	−	0.0541726i	−0.522940	−	0.852369i	$-0.675165\pi$
$271$	1.30802	−	0.891794i	0.0794567	−	0.0541726i	0.602397	+	0.798197i	$0.294213\pi$
$272$	0.868790	+	0.418387i	0.0526781	+	0.0253684i
$273$	1.62630	−	9.62692i	0.0984280	−	0.582648i
$274$	6.03323	−	2.90545i	0.364481	−	0.175525i
$275$	−0.957573	+	1.65857i	−0.0577438	+	0.100015i
$276$	−4.49961	−	7.79355i	−0.270845	−	0.469117i
$277$	17.0878	+	11.6503i	1.02671	+	0.699997i	0.954750	−	0.297411i	$-0.0961232\pi$
$277$	17.0878	+	11.6503i	1.02671	+	0.699997i	0.0719570	+	0.997408i	$0.477076\pi$
$278$	−11.9063	+	1.79459i	−0.714095	+	0.107632i
$279$	1.84760	+	8.09486i	0.110613	+	0.484626i
$280$	4.17354	+	0.387378i	0.249417	+	0.0231502i
$281$	−2.13902	+	9.37167i	−0.127603	+	0.559067i	0.870193	+	0.492712i	$0.163994\pi$
$281$	−2.13902	+	9.37167i	−0.127603	+	0.559067i	−0.997796	+	0.0663553i	$0.978863\pi$
$282$	−0.350917	+	4.68266i	−0.0208968	+	0.278848i
$283$	−9.11764	+	2.81242i	−0.541987	+	0.167181i	−0.553648	−	0.832751i	$-0.686765\pi$
$283$	−9.11764	+	2.81242i	−0.541987	+	0.167181i	0.0116604	+	0.999932i	$0.496288\pi$
$284$	−0.896612	+	2.28453i	−0.0532041	+	0.135562i
$285$	−6.98886	−	2.15578i	−0.413984	−	0.127697i
$286$	1.58427	−	1.98661i	0.0936798	−	0.117471i
$287$	10.2674	−	20.3866i	0.606065	−	1.20338i
$288$	−1.09269	−	1.37019i	−0.0643872	−	0.0807390i
$289$	−5.87109	−	14.9593i	−0.345358	−	0.879958i
$290$	0.544852	+	7.27055i	0.0319948	+	0.426941i
$291$	17.3675	+	2.61772i	1.01810	+	0.153454i
$292$	−10.2470	−	9.50785i	−0.599662	−	0.556405i
$293$	−9.42927			−0.550864			−0.275432	−	0.961321i	$-0.588821\pi$
$293$	−9.42927			−0.550864			−0.275432	+	0.961321i	$0.588821\pi$
$294$	−6.91919	−	3.64014i	−0.403535	−	0.212297i
$295$	6.67208			0.388463
$296$	−0.818269	−	0.759242i	−0.0475609	−	0.0441301i
$297$	4.03670	+	0.608435i	0.234233	+	0.0353050i
$298$	−0.672051	−	8.96790i	−0.0389309	−	0.519497i
$299$	9.72576	+	24.7808i	0.562455	+	1.43311i
$300$	1.73412	+	2.17452i	0.100120	+	0.125546i
$301$	24.6375	+	20.3736i	1.42008	+	1.17432i
$302$	−9.59727	+	12.0346i	−0.552261	+	0.692513i
$303$	10.6759	+	3.29307i	0.613314	+	0.189182i
$304$	1.51011	−	3.84770i	0.0866107	−	0.220681i
$305$	18.7735	−	5.79085i	1.07497	−	0.331583i
$306$	0.126289	−	1.68522i	0.00721949	−	0.0963374i
$307$	1.85070	−	8.10843i	0.105625	−	0.462773i	−0.894259	−	0.447549i	$-0.852297\pi$
$307$	1.85070	−	8.10843i	0.105625	−	0.462773i	0.999884	−	0.0152233i	$-0.00484593\pi$
$308$	−1.11620	−	1.70128i	−0.0636014	−	0.0969397i
$309$	−0.251203	−	1.10059i	−0.0142904	−	0.0626105i
$310$	−7.42182	+	1.11866i	−0.421531	+	0.0635356i
$311$	−14.9175	−	10.1706i	−0.845893	−	0.576720i	0.0609726	−	0.998139i	$-0.480580\pi$
$311$	−14.9175	−	10.1706i	−0.845893	−	0.576720i	−0.906866	+	0.421419i	$0.861532\pi$
$312$	−1.84509	−	3.19580i	−0.104458	−	0.180926i
$313$	−8.39977	+	14.5488i	−0.474783	+	0.822349i	−0.999583	−	0.0288770i	$-0.990807\pi$
$313$	−8.39977	+	14.5488i	−0.474783	+	0.822349i	0.524800	+	0.851226i	$0.324140\pi$
$314$	7.45450	−	3.58990i	0.420682	−	0.202590i
$315$	−2.04024	−	7.05669i	−0.114955	−	0.397600i
$316$	−7.32590	−	3.52797i	−0.412114	−	0.198464i
$317$	17.6797	−	12.0538i	0.992990	−	0.677009i	0.0462237	−	0.998931i	$-0.485281\pi$
$317$	17.6797	−	12.0538i	0.992990	−	0.677009i	0.946766	+	0.321922i	$0.104329\pi$
$318$	0.688282	−	0.638632i	0.0385969	−	0.0358127i
$319$	2.59457	−	2.40741i	0.145268	−	0.134789i
$320$	1.30895	−	0.892429i	0.0731727	−	0.0498883i
$321$	17.9984	+	8.66755i	1.00457	+	0.483776i
$322$	21.2830	−	1.21546i	1.18605	−	0.0677347i
$323$	3.59108	−	1.72937i	0.199813	−	0.0962248i
$324$	0.335509	−	0.581118i	0.0186394	−	0.0322843i
$325$	−4.11378	−	7.12527i	−0.228191	−	0.395239i
$326$	2.63990	+	1.79985i	0.146210	+	0.0996846i
$327$	−14.8029	+	2.23118i	−0.818602	+	0.123384i
$328$	−1.91979	−	8.41116i	−0.106003	−	0.464429i
$329$	−9.53303	−	5.73190i	−0.525573	−	0.316010i
$330$	−0.302809	+	1.32669i	−0.0166691	+	0.0730321i
$331$	0.0486392	−	0.649045i	0.00267345	−	0.0356748i	−0.995708	−	0.0925555i	$-0.970496\pi$
$331$	0.0486392	−	0.649045i	0.00267345	−	0.0356748i	0.998381	+	0.0568808i	$0.0181155\pi$
$332$	−11.2305	+	3.46414i	−0.616352	+	0.190119i
$333$	−0.714704	+	1.82104i	−0.0391655	+	0.0997922i
$334$	22.8888	+	7.06027i	1.25242	+	0.386321i
$335$	−6.01164	+	7.53836i	−0.328451	+	0.411865i
$336$	−2.89217	+	0.606313i	−0.157781	+	0.0330771i
$337$	7.90187	+	9.90864i	0.430442	+	0.539758i	0.948996	−	0.315287i	$-0.102101\pi$
$337$	7.90187	+	9.90864i	0.430442	+	0.539758i	−0.518554	+	0.855045i	$0.673529\pi$
$338$	−0.761324	−	1.93982i	−0.0414105	−	0.105512i
$339$	−1.38174	−	18.4380i	−0.0750456	−	1.00141i
$340$	1.51059	+	0.227684i	0.0819230	+	0.0123479i
$341$	2.67098	+	2.47830i	0.144642	+	0.134208i
$342$	−7.24397			−0.391709
$343$	15.0739	−	10.7600i	0.813913	−	0.580987i
$344$	12.0836			0.651503
$345$	−10.4510	−	9.69711i	−0.562663	−	0.522075i
$346$	−24.3819	−	3.67498i	−1.31078	−	0.197568i
$347$	2.00705	+	26.7822i	0.107744	+	1.43775i	0.744985	+	0.667081i	$0.232457\pi$
$347$	2.00705	+	26.7822i	0.107744	+	1.43775i	−0.637241	+	0.770665i	$0.719924\pi$
$348$	−1.87792	−	4.78487i	−0.100667	−	0.256496i
$349$	−12.8118	−	16.0655i	−0.685802	−	0.859969i	0.310072	−	0.950713i	$-0.399647\pi$
$349$	−12.8118	−	16.0655i	−0.685802	−	0.859969i	−0.995874	+	0.0907440i	$0.971075\pi$
$350$	−6.44831	+	1.35182i	−0.344677	+	0.0722579i
$351$	−10.9346	+	13.7116i	−0.583646	+	0.731869i
$352$	−0.734902	−	0.226687i	−0.0391704	−	0.0120825i
$353$	0.481787	−	1.22757i	0.0256429	−	0.0653371i	−0.917479	−	0.397785i	$-0.869779\pi$
$353$	0.481787	−	1.22757i	0.0256429	−	0.0653371i	0.943122	+	0.332447i	$0.107874\pi$
$354$	−4.49491	+	1.38650i	−0.238902	+	0.0736914i
$355$	−0.290549	+	3.87711i	−0.0154208	+	0.205776i
$356$	−0.402333	+	1.76274i	−0.0213236	+	0.0934249i
$357$	−2.44206	−	1.46833i	−0.129247	−	0.0777123i
$358$	1.10361	+	4.83522i	0.0583275	+	0.255549i
$359$	−34.7027	+	5.23059i	−1.83154	+	0.276060i	−0.971995	−	0.235003i	$-0.924490\pi$
$359$	−34.7027	+	5.23059i	−1.83154	+	0.276060i	−0.859544	+	0.511063i	$0.829252\pi$
$360$	−2.29399	−	1.56401i	−0.120904	−	0.0824307i
$361$	0.957397	+	1.65826i	0.0503893	+	0.0872769i
$362$	2.23011	−	3.86266i	0.117212	−	0.203017i
$363$	−10.4740	+	5.04402i	−0.549744	+	0.264743i
$364$	8.72723	−	0.498406i	0.457431	−	0.0261236i
$365$	−19.9522	−	9.60849i	−1.04435	−	0.502931i
$366$	−11.4441	+	7.80246i	−0.598193	+	0.407841i
$367$	9.78070	−	9.07516i	0.510548	−	0.473720i	−0.382325	−	0.924028i	$-0.624876\pi$
$367$	9.78070	−	9.07516i	0.510548	−	0.473720i	0.892873	+	0.450308i	$0.148686\pi$
$368$	5.90643	−	5.48037i	0.307894	−	0.285684i
$369$	−12.4927	+	8.51736i	−0.650343	+	0.443396i
$370$	−1.59327	−	0.767278i	−0.0828301	−	0.0398889i
$371$	0.617751	+	2.13665i	0.0320721	+	0.110929i
$372$	4.76754	−	2.29592i	0.247185	−	0.119038i
$373$	−9.26911	+	16.0546i	−0.479936	+	0.831274i	−0.999735	−	0.0230146i	$-0.992674\pi$
$373$	−9.26911	+	16.0546i	−0.479936	+	0.831274i	0.519799	+	0.854289i	$0.326007\pi$
$374$	−0.370801	−	0.642245i	−0.0191736	−	0.0332097i
$375$	10.9505	+	7.46590i	0.565479	+	0.385537i
$376$	−4.15735	+	0.626619i	−0.214399	+	0.0323154i
$377$	3.38353	+	14.8242i	0.174261	+	0.763486i
$378$	7.70400	+	11.7422i	0.396251	+	0.603956i
$379$	−3.22655	+	14.1364i	−0.165737	+	0.726140i	0.821933	+	0.569585i	$0.192896\pi$
$379$	−3.22655	+	14.1364i	−0.165737	+	0.726140i	−0.987669	+	0.156555i	$0.949961\pi$
$380$	0.489355	−	6.52999i	0.0251034	−	0.334981i
$381$	−0.516540	+	0.159331i	−0.0264631	+	0.00816280i
$382$	−4.20684	+	10.7189i	−0.215241	+	0.548424i
$383$	−3.20234	−	0.987790i	−0.163632	−	0.0504737i	0.211857	−	0.977301i	$-0.432049\pi$
$383$	−3.20234	−	0.987790i	−0.163632	−	0.0504737i	−0.375489	+	0.926827i	$0.622525\pi$
$384$	−0.696376	+	0.873227i	−0.0355368	+	0.0445617i
$385$	−2.48419	−	2.05427i	−0.126606	−	0.104695i
$386$	15.2657	+	19.1426i	0.777005	+	0.974333i
$387$	−7.73679	−	19.7130i	−0.393283	−	1.00207i
$388$	1.17516	+	15.6814i	0.0596595	+	0.796101i
$389$	−13.5532	−	2.04282i	−0.687176	−	0.103575i	−0.203832	−	0.979006i	$-0.565340\pi$
$389$	−13.5532	−	2.04282i	−0.687176	−	0.103575i	−0.483344	+	0.875431i	$0.660578\pi$
$390$	−4.28550	−	3.97636i	−0.217005	−	0.201351i
$391$	7.76955			0.392923
$392$	1.79892	−	6.76490i	0.0908591	−	0.341679i
$393$	9.19383			0.463768
$394$	8.96192	+	8.31545i	0.451495	+	0.418926i
$395$	−12.7377	−	1.91990i	−0.640904	−	0.0966008i
$396$	0.100723	+	1.34405i	0.00506151	+	0.0675411i
$397$	−8.04097	−	20.4880i	−0.403565	−	1.02827i	−0.977793	−	0.209571i	$-0.932793\pi$
$397$	−8.04097	−	20.4880i	−0.403565	−	1.02827i	0.574229	−	0.818695i	$-0.305302\pi$
$398$	−2.17177	−	2.72331i	−0.108861	−	0.136507i
$399$	−5.49416	+	10.9090i	−0.275052	+	0.546134i
$400$	−1.55262	+	1.94693i	−0.0776311	+	0.0973464i
$401$	−19.2140	−	5.92674i	−0.959503	−	0.295967i	−0.224837	−	0.974396i	$-0.572185\pi$
$401$	−19.2140	−	5.92674i	−0.959503	−	0.295967i	−0.734666	+	0.678429i	$0.762661\pi$
$402$	2.48347	−	6.32777i	0.123864	−	0.315600i
$403$	−14.9578	+	4.61388i	−0.745102	+	0.229833i
$404$	−0.747518	+	9.97493i	−0.0371904	+	0.496271i
$405$	0.236550	−	1.03639i	0.0117543	−	0.0514988i
$406$	12.1241	+	1.12533i	0.601711	+	0.0558493i
$407$	0.191028	+	0.836949i	0.00946891	+	0.0414860i
$408$	−1.06498	+	0.160520i	−0.0527243	+	0.00794692i
$409$	24.9529	+	17.0126i	1.23384	+	0.841219i	0.991644	−	0.129008i	$-0.0411793\pi$
$409$	24.9529	+	17.0126i	1.23384	+	0.841219i	0.242198	+	0.970227i	$0.422132\pi$
$410$	−6.83395	−	11.8367i	−0.337505	−	0.584575i
$411$	−3.73960	+	6.47717i	−0.184461	+	0.319495i
$412$	0.910645	−	0.438544i	0.0448643	−	0.0216055i
$413$	1.85607	−	10.9871i	0.0913312	−	0.540638i
$414$	−12.7223	−	6.12676i	−0.625269	−	0.301114i
$415$	−15.3836	+	10.4884i	−0.755151	+	0.514854i
$416$	2.42197	−	2.24726i	0.118747	−	0.110181i
$417$	9.85837	−	9.14723i	0.482766	−	0.447942i
$418$	−2.62652	+	1.79073i	−0.128467	+	0.0875876i
$419$	−23.8954	−	11.5074i	−1.16737	−	0.562174i	−0.253161	−	0.967424i	$-0.581470\pi$
$419$	−23.8954	−	11.5074i	−1.16737	−	0.562174i	−0.914206	+	0.405250i	$0.867184\pi$
$420$	−4.09518	+	2.26839i	−0.199824	+	0.110686i
$421$	−3.08123	+	1.48384i	−0.150170	+	0.0723181i	−0.507459	−	0.861676i	$-0.669415\pi$
$421$	−3.08123	+	1.48384i	−0.150170	+	0.0723181i	0.357289	+	0.933994i	$0.383701\pi$
$422$	6.17902	−	10.7024i	0.300790	−	0.520984i
$423$	3.68410	+	6.38104i	0.179127	+	0.310257i
$424$	0.694581	+	0.473557i	0.0337318	+	0.0229980i
$425$	−2.37445	+	0.357891i	−0.115178	+	0.0173603i
$426$	−0.609946	−	2.67235i	−0.0295520	−	0.129476i
$427$	−4.31343	−	32.5256i	−0.208742	−	1.57402i
$428$	−3.97997	+	17.4374i	−0.192379	+	0.842868i
$429$	−0.212085	+	2.83007i	−0.0102395	+	0.136637i
$430$	18.2927	−	5.64255i	0.882153	−	0.272108i
$431$	6.86901	−	17.5020i	0.330869	−	0.843039i	−0.664534	−	0.747258i	$-0.731370\pi$
$431$	6.86901	−	17.5020i	0.330869	−	0.843039i	0.995402	−	0.0957812i	$-0.0305349\pi$
$432$	5.07228	+	1.56459i	0.244040	+	0.0752764i
$433$	14.2209	−	17.8325i	0.683413	−	0.856973i	−0.312250	−	0.950000i	$-0.601083\pi$
$433$	14.2209	−	17.8325i	0.683413	−	0.856973i	0.995664	+	0.0930268i	$0.0296542\pi$
$434$	−0.222513	+	12.5329i	−0.0106810	+	0.601597i
$435$	−5.07723	−	6.36664i	−0.243434	−	0.305257i
$436$	−4.89676	−	12.4767i	−0.234512	−	0.597528i
$437$	−2.48884	−	33.2112i	−0.119057	−	1.58871i
$438$	15.4383	+	2.32695i	0.737670	+	0.111186i
$439$	15.4681	+	14.3523i	0.738250	+	0.684996i	0.956773	−	0.290836i	$-0.0939333\pi$
$439$	15.4681	+	14.3523i	0.738250	+	0.684996i	−0.218523	+	0.975832i	$0.570124\pi$
$440$	−1.21838			−0.0580841
$441$	−12.1880	+	1.39665i	−0.580380	+	0.0665071i
$442$	3.18595			0.151540
$443$	9.00671	+	8.35700i	0.427921	+	0.397053i	0.864516	−	0.502605i	$-0.167625\pi$
$443$	9.00671	+	8.35700i	0.427921	+	0.397053i	−0.436595	+	0.899658i	$0.643816\pi$
$444$	1.23281	+	0.185817i	0.0585067	+	0.00881847i
$445$	0.214057	+	2.85639i	0.0101473	+	0.135406i
$446$	5.48946	+	13.9869i	0.259933	+	0.662299i
$447$	6.26254	+	7.85298i	0.296208	+	0.371433i
$448$	−1.10545	−	2.40374i	−0.0522277	−	0.113566i
$449$	12.3416	−	15.4759i	0.582437	−	0.730352i	−0.400090	−	0.916476i	$-0.631021\pi$
$449$	12.3416	−	15.4759i	0.582437	−	0.730352i	0.982526	+	0.186124i	$0.0595925\pi$
$450$	4.17030	+	1.28637i	0.196590	+	0.0606399i
$451$	−2.42408	+	6.17646i	−0.114146	+	0.290838i
$452$	15.8190	−	4.87952i	0.744063	−	0.229513i
$453$	1.28478	−	17.1442i	0.0603641	−	0.805503i
$454$	2.37142	−	10.3899i	0.111296	−	0.487620i
$455$	12.9790	−	4.82978i	0.608463	−	0.226423i
$456$	1.02730	+	4.50087i	0.0481075	+	0.210773i
$457$	23.7122	−	3.57404i	1.10921	−	0.167187i	0.431213	−	0.902250i	$-0.358086\pi$
$457$	23.7122	−	3.57404i	1.10921	−	0.167187i	0.677998	+	0.735064i	$0.262848\pi$
$458$	13.0160	+	8.87419i	0.608200	+	0.414663i
$459$	2.55926	+	4.43277i	0.119456	+	0.206904i
$460$	6.38233	−	11.0545i	0.297578	−	0.515419i
$461$	−5.44008	+	2.61980i	−0.253370	+	0.122016i	−0.556258	−	0.831010i	$-0.687763\pi$
$461$	−5.44008	+	2.61980i	−0.253370	+	0.122016i	0.302888	+	0.953026i	$0.402049\pi$
$462$	2.10046	+	0.867708i	0.0977222	+	0.0403694i
$463$	10.7228	+	5.16382i	0.498330	+	0.239983i	0.666127	−	0.745838i	$-0.267951\pi$
$463$	10.7228	+	5.16382i	0.498330	+	0.239983i	−0.167797	+	0.985822i	$0.553665\pi$
$464$	3.80251	−	2.59251i	0.176527	−	0.120354i
$465$	6.14522	−	5.70193i	0.284978	−	0.264421i
$466$	−15.2911	+	14.1881i	−0.708348	+	0.657251i
$467$	0.829756	−	0.565718i	0.0383965	−	0.0261783i	−0.543970	−	0.839105i	$-0.683079\pi$
$467$	0.829756	−	0.565718i	0.0383965	−	0.0261783i	0.582366	+	0.812927i	$0.302127\pi$
$468$	−5.21688	−	2.51232i	−0.241150	−	0.116132i
$469$	10.7412	+	11.9966i	0.495985	+	0.553950i
$470$	−6.00098	+	2.88992i	−0.276805	+	0.133302i
$471$	−4.62054	+	8.00301i	−0.212903	+	0.368759i
$472$	−2.10578	−	3.64732i	−0.0969263	−	0.167881i
$473$	−7.67833	−	5.23500i	−0.353050	−	0.240705i
$474$	8.98023	−	1.35355i	0.412476	−	0.0621707i
$475$	2.29043	+	10.0350i	0.105092	+	0.460439i
$476$	0.795154	−	2.42418i	0.0364458	−	0.111112i
$477$	0.327835	−	1.43634i	0.0150105	−	0.0657654i
$478$	−0.796005	+	10.6219i	−0.0364084	+	0.485836i
$479$	16.5393	−	5.10169i	0.755699	−	0.233102i	0.107116	−	0.994246i	$-0.465838\pi$
$479$	16.5393	−	5.10169i	0.755699	−	0.233102i	0.648583	+	0.761144i	$0.275362\pi$
$480$	−0.646444	+	1.64711i	−0.0295060	+	0.0751801i
$481$	−3.52419	−	1.08707i	−0.160689	−	0.0495661i
$482$	3.85734	−	4.83695i	0.175697	−	0.220317i
$483$	−18.8758	+	14.5123i	−0.858877	+	0.660333i
$484$	−6.48961	−	8.13772i	−0.294982	−	0.369896i
$485$	9.10158	+	23.1904i	0.413281	+	1.05302i
$486$	−1.13402	−	15.1324i	−0.0514401	−	0.686421i
$487$	1.89262	+	0.285267i	0.0857629	+	0.0129267i	0.191783	−	0.981437i	$-0.438573\pi$
$487$	1.89262	+	0.285267i	0.0857629	+	0.0129267i	−0.106021	+	0.994364i	$0.533811\pi$
$488$	−9.09069	−	8.43493i	−0.411516	−	0.381831i
$489$	−3.56858			−0.161377
$490$	−0.435652	−	11.0811i	−0.0196807	−	0.500591i
$491$	1.19150			0.0537719			0.0268859	−	0.999639i	$-0.491441\pi$
$491$	1.19150			0.0537719			0.0268859	+	0.999639i	$0.491441\pi$
$492$	7.06370	+	6.55416i	0.318456	+	0.295484i
$493$	4.38825	+	0.661423i	0.197637	+	0.0297890i
$494$	−1.02056	−	13.6185i	−0.0459173	−	0.612724i
$495$	0.780098	+	1.98766i	0.0350628	+	0.0893385i
$496$	2.95392	+	3.70410i	0.132635	+	0.166319i
$497$	6.30370	+	1.55701i	0.282760	+	0.0698413i
$498$	8.18423	−	10.2627i	0.366744	−	0.459882i
$499$	4.14487	+	1.27852i	0.185550	+	0.0572345i	0.386138	−	0.922441i	$-0.373809\pi$
$499$	4.14487	+	1.27852i	0.185550	+	0.0572345i	−0.200588	+	0.979676i	$0.564285\pi$
$500$	−4.33522	+	11.0460i	−0.193877	+	0.493990i
$501$	−25.5645	+	7.88561i	−1.14214	+	0.352303i
$502$	−1.35428	+	18.0716i	−0.0604445	+	0.806576i
$503$	2.96104	−	12.9732i	0.132026	−	0.578445i	−0.865026	−	0.501726i	$-0.832698\pi$
$503$	2.96104	−	12.9732i	0.132026	−	0.578445i	0.997053	−	0.0767190i	$-0.0244444\pi$
$504$	−3.21365	+	3.34247i	−0.143147	+	0.148886i
$505$	3.52627	+	15.4496i	0.156917	+	0.687497i
$506$	−6.12743	+	0.923561i	−0.272397	+	0.0410573i
$507$	1.92305	+	1.31111i	0.0854057	+	0.0582286i
$508$	−0.241989	−	0.419137i	−0.0107365	−	0.0185962i
$509$	−7.56000	+	13.0943i	−0.335091	+	0.580395i	−0.983502	−	0.180895i	$-0.942100\pi$
$509$	−7.56000	+	13.0943i	−0.335091	+	0.580395i	0.648411	+	0.761290i	$0.275434\pi$
$510$	−1.53726	+	0.740305i	−0.0680710	+	0.0327813i
$511$	−21.3729	+	30.1829i	−0.945482	+	1.33521i
$512$	−0.900969	−	0.433884i	−0.0398176	−	0.0191751i
$513$	18.1282	−	12.3596i	0.800381	−	0.545690i
$514$	−11.6714	+	10.8295i	−0.514803	+	0.477668i
$515$	1.17380	−	1.08912i	0.0517236	−	0.0479925i
$516$	−11.1510	+	7.60265i	−0.490897	+	0.334688i
$517$	2.91319	+	1.40292i	0.128122	+	0.0617004i
$518$	−1.70672	+	2.41023i	−0.0749889	+	0.105899i
$519$	24.8124	−	11.9490i	1.08915	−	0.524505i
$520$	2.61711	−	4.53298i	0.114768	−	0.198784i
$521$	4.65245	+	8.05828i	0.203828	+	0.353040i	0.949759	−	0.312984i	$-0.101328\pi$
$521$	4.65245	+	8.05828i	0.203828	+	0.353040i	−0.745931	+	0.666023i	$0.767995\pi$
$522$	−6.66403	−	4.54346i	−0.291677	−	0.198862i
$523$	11.4809	−	1.73047i	0.502026	−	0.0756683i	0.106853	−	0.994275i	$-0.465923\pi$
$523$	11.4809	−	1.73047i	0.502026	−	0.0756683i	0.395173	+	0.918607i	$0.370684\pi$
$524$	1.83170	+	8.02518i	0.0800180	+	0.350582i
$525$	5.10014	−	5.30459i	0.222588	−	0.231511i
$526$	4.14128	−	18.1441i	0.180568	−	0.791122i
$527$	−0.341406	+	4.55574i	−0.0148719	+	0.198451i
$528$	0.820811	−	0.253187i	0.0357212	−	0.0110185i
$529$	15.3153	−	39.0226i	0.665880	−	1.69664i
$530$	1.27262	+	0.392552i	0.0552792	+	0.0170514i
$531$	−4.60192	+	5.77062i	−0.199706	+	0.250424i
$532$	−10.6169	−	2.62237i	−0.460303	−	0.113694i
$533$	−17.7724	−	22.2859i	−0.769810	−	0.965311i
$534$	−0.737782	−	1.87984i	−0.0319269	−	0.0813485i
$535$	2.11750	+	28.2560i	0.0915474	+	1.22161i
$536$	6.01821	+	0.907099i	0.259947	+	0.0391807i
$537$	−4.06062	−	3.76771i	−0.175229	−	0.162589i
$538$	−26.0535			−1.12325
$539$	−4.07387	+	3.51930i	−0.175474	+	0.151587i
$540$	8.40926			0.361877
$541$	−2.15685	−	2.00127i	−0.0927304	−	0.0860412i	0.632446	−	0.774605i	$-0.282051\pi$
$541$	−2.15685	−	2.00127i	−0.0927304	−	0.0860412i	−0.725176	+	0.688564i	$0.758242\pi$
$542$	−1.56542	−	0.235949i	−0.0672406	−	0.0101349i
$543$	0.372277	+	4.96768i	0.0159759	+	0.213184i
$544$	−0.352293	−	0.897627i	−0.0151044	−	0.0384854i
$545$	−13.2391	−	16.6013i	−0.567100	−	0.711121i
$546$	−7.74013	+	5.95087i	−0.331247	+	0.254674i
$547$	3.18428	−	3.99297i	0.136150	−	0.170727i	−0.709082	−	0.705126i	$-0.750891\pi$
$547$	3.18428	−	3.99297i	0.136150	−	0.170727i	0.845232	+	0.534399i	$0.179462\pi$
$548$	−6.39888	−	1.97379i	−0.273347	−	0.0843163i
$549$	−7.94012	+	20.2311i	−0.338876	+	0.863442i
$550$	1.83006	−	0.564499i	0.0780341	−	0.0240703i
$551$	1.42158	−	18.9696i	0.0605612	−	0.808133i
$552$	−2.00251	+	8.77359i	−0.0852327	+	0.373429i
$553$	−6.70498	+	20.4414i	−0.285125	+	0.869257i
$554$	−4.60205	−	20.1629i	−0.195522	−	0.856640i
$555$	1.95306	−	0.294377i	0.0829028	−	0.0124956i
$556$	9.94859	+	6.78284i	0.421914	+	0.287656i
$557$	3.89299	+	6.74286i	0.164951	+	0.285704i	0.936638	−	0.350299i	$-0.113920\pi$
$557$	3.89299	+	6.74286i	0.164951	+	0.285704i	−0.771687	+	0.636003i	$0.780587\pi$
$558$	4.15152	−	7.19064i	0.175748	−	0.304404i
$559$	35.9700	−	17.3222i	1.52137	−	0.732652i
$560$	−2.79594	−	3.12270i	−0.118150	−	0.131958i
$561$	0.746267	+	0.359383i	0.0315074	+	0.0151732i
$562$	7.94237	−	5.41501i	0.335029	−	0.228419i
$563$	6.98771	−	6.48365i	0.294497	−	0.273253i	−0.519061	−	0.854737i	$-0.673718\pi$
$563$	6.98771	−	6.48365i	0.294497	−	0.273253i	0.813558	+	0.581484i	$0.197528\pi$
$564$	3.44226	−	3.19395i	0.144945	−	0.134489i
$565$	21.6690	−	14.7737i	0.911623	−	0.621534i
$566$	8.59663	+	4.13992i	0.361343	+	0.174014i
$567$	−1.64085	−	0.677840i	−0.0689091	−	0.0284666i
$568$	2.21114	−	1.06483i	0.0927773	−	0.0446792i
$569$	−0.333839	+	0.578226i	−0.0139953	+	0.0242405i	−0.872938	−	0.487831i	$-0.837788\pi$
$569$	−0.333839	+	0.578226i	−0.0139953	+	0.0242405i	0.858943	+	0.512071i	$0.171122\pi$
$570$	3.65690	+	6.33393i	0.153171	+	0.265299i
$571$	−22.2885	−	15.1960i	−0.932744	−	0.635934i	−0.00137033	−	0.999999i	$-0.500436\pi$
$571$	−22.2885	−	15.1960i	−0.932744	−	0.635934i	−0.931374	+	0.364065i	$0.881389\pi$
$572$	−2.51259	+	0.378712i	−0.105057	+	0.0158347i
$573$	−2.86182	−	12.5385i	−0.119554	−	0.523802i
$574$	−21.3929	+	7.96082i	−0.892924	+	0.332278i
$575$	−4.46476	+	19.5614i	−0.186193	+	0.815766i
$576$	−0.130967	+	1.74763i	−0.00545696	+	0.0728181i
$577$	−26.6521	+	8.22107i	−1.10954	+	0.342248i	−0.794764	−	0.606918i	$-0.792406\pi$
$577$	−26.6521	+	8.22107i	−1.10954	+	0.342248i	−0.314776	+	0.949166i	$0.601929\pi$
$578$	−5.87109	+	14.9593i	−0.244205	+	0.622224i
$579$	−26.1316	−	8.06053i	−1.08599	−	0.334984i
$580$	4.54582	−	5.70028i	0.188755	−	0.236691i
$581$	12.9919	+	28.2502i	0.538997	+	1.17202i
$582$	−10.9507	−	13.7318i	−0.453923	−	0.569201i
$583$	−0.236201	−	0.601829i	−0.00978243	−	0.0249252i
$584$	1.04462	+	13.9395i	0.0432267	+	0.576821i
$585$	−9.07071	−	1.36719i	−0.375028	−	0.0565263i
$586$	6.91214	+	6.41353i	0.285538	+	0.264941i
$587$	−3.70996			−0.153126			−0.0765631	−	0.997065i	$-0.524395\pi$
$587$	−3.70996			−0.153126			−0.0765631	+	0.997065i	$0.524395\pi$
$588$	2.59620	+	7.37466i	0.107065	+	0.304126i
$589$	19.5830			0.806905
$590$	−4.89098	−	4.53817i	−0.201358	−	0.186833i
$591$	−13.5021	−	2.03512i	−0.555404	−	0.0837137i
$592$	0.0834174	+	1.11313i	0.00342843	+	0.0457493i
$593$	11.3523	+	28.9252i	0.466183	+	1.18781i	0.949890	+	0.312584i	$0.101195\pi$
$593$	11.3523	+	28.9252i	0.466183	+	1.18781i	−0.483707	+	0.875230i	$0.660710\pi$
$594$	−2.54527	−	3.19167i	−0.104434	−	0.130956i
$595$	0.0717480	−	4.04114i	0.00294138	−	0.165671i
$596$	−5.60707	+	7.03105i	−0.229675	+	0.288003i
$597$	3.71759	+	1.14673i	0.152151	+	0.0469324i
$598$	9.72576	−	24.7808i	0.397716	−	1.01336i
$599$	−20.0675	+	6.19000i	−0.819935	+	0.252916i	−0.676217	−	0.736702i	$-0.736382\pi$
$599$	−20.0675	+	6.19000i	−0.819935	+	0.252916i	−0.143718	+	0.989619i	$0.545906\pi$
$600$	0.207848	−	2.77354i	0.00848537	−	0.113229i
$601$	−5.74342	+	25.1636i	−0.234279	+	1.02644i	0.711768	+	0.702414i	$0.247895\pi$
$601$	−5.74342	+	25.1636i	−0.234279	+	1.02644i	−0.946047	+	0.324029i	$0.894963\pi$
$602$	−4.20297	−	31.6927i	−0.171300	−	1.29170i
$603$	−2.37347	−	10.3988i	−0.0966550	−	0.423473i
$604$	15.2209	−	2.29418i	0.619329	−	0.0933489i
$605$	−13.6243	−	9.28887i	−0.553906	−	0.377646i
$606$	−5.58612	−	9.67544i	−0.226921	−	0.393038i
$607$	16.0293	−	27.7636i	0.650610	−	1.12689i	−0.332365	−	0.943151i	$-0.607847\pi$
$607$	16.0293	−	27.7636i	0.650610	−	1.12689i	0.982975	−	0.183739i	$-0.0588200\pi$
$608$	−3.72409	+	1.79343i	−0.151032	+	0.0727330i
$609$	−11.8965	+	6.58969i	−0.482071	+	0.267028i
$610$	−17.7007	−	8.52421i	−0.716680	−	0.345135i
$611$	−11.4772	+	7.82499i	−0.464316	+	0.316565i
$612$	−1.23881	+	1.14945i	−0.0500761	+	0.0464638i
$613$	−7.91931	+	7.34804i	−0.319858	+	0.296785i	−0.823717	−	0.567001i	$-0.808104\pi$
$613$	−7.91931	+	7.34804i	−0.319858	+	0.296785i	0.503859	+	0.863786i	$0.331913\pi$
$614$	−6.87179	+	4.68511i	−0.277323	+	0.189076i
$615$	13.7539	+	6.62353i	0.554611	+	0.267086i
$616$	−0.338935	+	2.00634i	−0.0136561	+	0.0808377i
$617$	0.591998	−	0.285091i	0.0238329	−	0.0114773i	−0.421929	−	0.906629i	$-0.638647\pi$
$617$	0.591998	−	0.285091i	0.0238329	−	0.0114773i	0.445762	+	0.895151i	$0.352933\pi$
$618$	−0.564448	+	0.977652i	−0.0227054	+	0.0393269i
$619$	−3.48661	−	6.03898i	−0.140139	−	0.242727i	0.787410	−	0.616430i	$-0.211421\pi$
$619$	−3.48661	−	6.03898i	−0.140139	−	0.242727i	−0.927549	+	0.373702i	$0.878088\pi$
$620$	6.20146	+	4.22808i	0.249057	+	0.169804i
$621$	42.2914	−	6.37440i	1.69710	−	0.255796i
$622$	4.01755	+	17.6020i	0.161089	+	0.705777i
$623$	4.76323	+	0.442111i	0.190835	+	0.0177128i
$624$	−0.821144	+	3.59767i	−0.0328721	+	0.144022i
$625$	−0.474369	+	6.33002i	−0.0189748	+	0.253201i
$626$	16.0532	−	4.95175i	0.641615	−	0.197912i
$627$	1.29714	−	3.30507i	0.0518029	−	0.131992i
$628$	−7.90628	−	2.43877i	−0.315495	−	0.0973174i
$629$	−0.671113	+	0.841549i	−0.0267590	+	0.0335547i
$630$	−3.30417	+	6.56064i	−0.131641	+	0.261382i
$631$	−11.4835	−	14.3998i	−0.457151	−	0.573249i	0.498822	−	0.866704i	$-0.333766\pi$
$631$	−11.4835	−	14.3998i	−0.457151	−	0.573249i	−0.955973	+	0.293456i	$0.905195\pi$
$632$	2.97064	+	7.56906i	0.118166	+	0.301081i
$633$	1.03148	+	13.7641i	0.0409975	+	0.547074i
$634$	−21.1588	−	3.18917i	−0.840323	−	0.126658i
$635$	−0.562055	−	0.521511i	−0.0223045	−	0.0206955i
$636$	−0.938926			−0.0372308
$637$	−4.34276	−	22.7163i	−0.172066	−	0.900053i
$638$	−3.53940			−0.140126
$639$	−3.15288	−	2.92545i	−0.124726	−	0.115729i
$640$	−1.56654	−	0.236117i	−0.0619228	−	0.00933336i
$641$	−0.534850	−	7.13708i	−0.0211253	−	0.281898i	−0.997755	−	0.0669691i	$-0.978667\pi$
$641$	−0.534850	−	7.13708i	−0.0211253	−	0.281898i	0.976630	−	0.214929i	$-0.0689519\pi$
$642$	−7.29830	−	18.5958i	−0.288041	−	0.733916i
$643$	27.8226	+	34.8885i	1.09722	+	1.37587i	0.920103	+	0.391676i	$0.128105\pi$
$643$	27.8226	+	34.8885i	1.09722	+	1.37587i	0.177114	+	0.984190i	$0.443324\pi$
$644$	−16.4283	−	13.5851i	−0.647364	−	0.535329i
$645$	−13.3308	+	16.7164i	−0.524902	+	0.658206i
$646$	−3.80872	−	1.17483i	−0.149852	−	0.0462232i
$647$	−9.90587	+	25.2397i	−0.389440	+	0.992276i	0.592918	+	0.805263i	$0.297976\pi$
$647$	−9.90587	+	25.2397i	−0.389440	+	0.992276i	−0.982357	+	0.187013i	$0.940119\pi$
$648$	−0.641206	+	0.197786i	−0.0251889	+	0.00776976i
$649$	−0.242049	+	3.22992i	−0.00950126	+	0.126786i
$650$	−1.83080	+	8.02128i	−0.0718100	+	0.314620i
$651$	−7.67999	−	11.7057i	−0.301003	−	0.458781i
$652$	−0.710972	−	3.11497i	−0.0278438	−	0.121992i
$653$	−5.84235	+	0.880593i	−0.228629	+	0.0344603i	−0.262357	−	0.964971i	$-0.584500\pi$
$653$	−5.84235	+	0.880593i	−0.228629	+	0.0344603i	0.0337286	+	0.999431i	$0.489262\pi$
$654$	12.3689	+	8.43296i	0.483661	+	0.329755i
$655$	6.52035	+	11.2936i	0.254771	+	0.441276i
$656$	−4.31373	+	7.47161i	−0.168423	+	0.291717i
$657$	22.0719	−	10.6293i	0.861107	−	0.414687i
$658$	3.08952	+	10.6859i	0.120442	+	0.416579i
$659$	−3.29770	−	1.58809i	−0.128460	−	0.0618632i	0.368550	−	0.929608i	$-0.379854\pi$
$659$	−3.29770	−	1.58809i	−0.128460	−	0.0618632i	−0.497010	+	0.867745i	$0.665569\pi$
$660$	1.12436	−	0.766572i	0.0437655	−	0.0298388i
$661$	−25.5538	+	23.7105i	−0.993927	+	0.922230i	−0.996972	−	0.0777655i	$-0.975221\pi$
$661$	−25.5538	+	23.7105i	−0.993927	+	0.922230i	0.00304428	+	0.999995i	$0.499031\pi$
$662$	−0.477118	+	0.442701i	−0.0185437	+	0.0172061i
$663$	−2.94008	+	2.00451i	−0.114183	+	0.0778488i
$664$	10.5887	+	5.09926i	0.410922	+	0.197890i
$665$	−17.2970	+	0.987818i	−0.670748	+	0.0383060i
$666$	1.76253	−	0.848792i	0.0682968	−	0.0328900i
$667$	18.5407	−	32.1134i	0.717898	−	1.24344i
$668$	−11.9765	−	20.7439i	−0.463384	−	0.802605i
$669$	−13.8660	−	9.45367i	−0.536090	−	0.365500i
$670$	9.53424	−	1.43705i	0.368340	−	0.0555183i
$671$	2.12226	+	9.29823i	0.0819289	+	0.358954i
$672$	2.53251	+	1.52272i	0.0976936	+	0.0587400i
$673$	−0.513945	+	2.25174i	−0.0198111	+	0.0867982i	−0.983867	−	0.178901i	$-0.942746\pi$
$673$	−0.513945	+	2.25174i	−0.0198111	+	0.0867982i	0.964056	+	0.265699i	$0.0856029\pi$
$674$	0.947101	−	12.6382i	0.0364810	−	0.486805i
$675$	−12.6311	+	3.89617i	−0.486170	+	0.149964i
$676$	−0.761324	+	1.93982i	−0.0292817	+	0.0746085i
$677$	3.84640	+	1.18646i	0.147829	+	0.0455992i	0.367787	−	0.929910i	$-0.380116\pi$
$677$	3.84640	+	1.18646i	0.147829	+	0.0455992i	−0.219958	+	0.975509i	$0.570592\pi$
$678$	−11.5281	+	14.4558i	−0.442735	+	0.555172i
$679$	40.7202	−	8.53655i	1.56270	−	0.327603i
$680$	−0.952473	−	1.19436i	−0.0365257	−	0.0458018i
$681$	4.34860	+	11.0801i	0.166639	+	0.424589i
$682$	−0.272290	−	3.63345i	−0.0104265	−	0.139132i
$683$	−21.2933	−	3.20945i	−0.814767	−	0.122806i	−0.271578	−	0.962417i	$-0.587545\pi$
$683$	−21.2933	−	3.20945i	−0.814767	−	0.122806i	−0.543189	+	0.839610i	$0.682783\pi$
$684$	5.31021	+	4.92715i	0.203041	+	0.188394i
$685$	−10.6086			−0.405334
$686$	−18.3686	−	2.36518i	−0.701317	−	0.0903030i
$687$	−17.5949			−0.671288
$688$	−8.85789	−	8.21893i	−0.337704	−	0.313344i
$689$	2.74646	+	0.413962i	0.104632	+	0.0157707i
$690$	1.06541	+	14.2170i	0.0405597	+	0.541231i
$691$	−16.5138	−	42.0764i	−0.628214	−	1.60066i	−0.789497	−	0.613755i	$-0.789658\pi$
$691$	−16.5138	−	42.0764i	−0.628214	−	1.60066i	0.161283	−	0.986908i	$-0.448437\pi$
$692$	15.3736	+	19.2778i	0.584415	+	0.732834i
$693$	3.49013	−	0.731669i	0.132579	−	0.0277938i
$694$	16.7453	−	20.9979i	0.635642	−	0.797070i
$695$	18.2280	+	5.62258i	0.691426	+	0.213277i
$696$	−1.87792	+	4.78487i	−0.0711824	+	0.181370i
$697$	−7.94973	+	2.45217i	−0.301117	+	0.0928824i
$698$	−1.53560	+	20.4912i	−0.0581233	+	0.775601i
$699$	5.18430	−	22.7139i	0.196088	−	0.859119i
$700$	5.64642	+	3.39501i	0.213415	+	0.128319i
$701$	1.51967	+	6.65809i	0.0573970	+	0.251473i	0.995484	−	0.0949262i	$-0.0302615\pi$
$701$	1.51967	+	6.65809i	0.0573970	+	0.251473i	−0.938087	+	0.346399i	$0.887404\pi$
$702$	17.3419	−	2.61387i	0.654527	−	0.0986540i
$703$	3.81221	+	2.59912i	0.143780	+	0.0980277i
$704$	0.384535	+	0.666033i	0.0144927	+	0.0251021i
$705$	3.71961	−	6.44255i	0.140088	−	0.242640i
$706$	−1.18814	+	0.572176i	−0.0447161	+	0.0215341i
$707$	26.4221	−	1.50895i	0.993707	−	0.0567499i
$708$	4.23806	+	2.04094i	0.159276	+	0.0767032i
$709$	7.94235	−	5.41500i	0.298281	−	0.203365i	−0.404926	−	0.914349i	$-0.632703\pi$
$709$	7.94235	−	5.41500i	0.298281	−	0.203365i	0.703208	+	0.710985i	$0.251750\pi$
$710$	2.85009	−	2.64450i	0.106962	−	0.0992463i
$711$	10.4461	−	9.69253i	0.391758	−	0.363498i
$712$	1.49390	−	1.01852i	0.0559862	−	0.0381707i
$713$	34.3930	+	16.5628i	1.28803	+	0.620282i
$714$	0.791436	+	2.73738i	0.0296187	+	0.102444i
$715$	−3.62684	+	1.74659i	−0.135636	+	0.0653188i
$716$	2.47978	−	4.29511i	0.0926739	−	0.160516i
$717$	−5.94846	−	10.3030i	−0.222149	−	0.384774i
$718$	28.9966	+	19.7695i	1.08214	+	0.737792i
$719$	29.5654	−	4.45627i	1.10260	−	0.166191i	0.427573	−	0.903981i	$-0.359369\pi$
$719$	29.5654	−	4.45627i	1.10260	−	0.166191i	0.675030	+	0.737790i	$0.264131\pi$
$720$	0.617811	+	2.70681i	0.0230245	+	0.100877i
$721$	−1.46695	−	2.23589i	−0.0546322	−	0.0832690i
$722$	0.426082	−	1.86679i	0.0158571	−	0.0694746i
$723$	−0.516379	+	6.89059i	−0.0192043	+	0.256264i
$724$	−4.26206	+	1.31467i	−0.158398	+	0.0488594i
$725$	−4.18697	+	10.6682i	−0.155500	+	0.396208i
$726$	11.1088	+	3.42661i	0.412287	+	0.127174i
$727$	−30.9868	+	38.8563i	−1.14924	+	1.44110i	−0.271190	+	0.962526i	$0.587417\pi$
$727$	−30.9868	+	38.8563i	−1.14924	+	1.44110i	−0.878048	+	0.478573i	$0.841154\pi$
$728$	−6.73651	−	5.57066i	−0.249672	−	0.206463i
$729$	11.8225	+	14.8250i	0.437871	+	0.549073i
$730$	8.09059	+	20.6145i	0.299446	+	0.762976i
$731$	−0.870756	−	11.6194i	−0.0322061	−	0.429760i
$732$	13.6961	+	2.06436i	0.506224	+	0.0763010i
$733$	−11.2047	−	10.3964i	−0.413854	−	0.384001i	0.445584	−	0.895240i	$-0.352996\pi$
$733$	−11.2047	−	10.3964i	−0.413854	−	0.384001i	−0.859438	+	0.511240i	$0.829187\pi$
$734$	−13.3424			−0.492478
$735$	7.37392	+	9.95178i	0.271991	+	0.367077i
$736$	−8.05732			−0.296997
$737$	−3.43120	−	3.18369i	−0.126390	−	0.117273i
$738$	14.9511	+	2.25351i	0.550356	+	0.0829528i
$739$	−2.28083	−	30.4355i	−0.0839015	−	1.11959i	−0.867206	−	0.497950i	$-0.834086\pi$
$739$	−2.28083	−	30.4355i	−0.0839015	−	1.11959i	0.783304	−	0.621638i	$-0.213533\pi$
$740$	0.646068	+	1.64615i	0.0237499	+	0.0605138i
$741$	9.51016	+	11.9254i	0.349365	+	0.438089i
$742$	1.00045	−	1.98645i	0.0367276	−	0.0729250i
$743$	8.86441	−	11.1156i	0.325204	−	0.407792i	−0.592174	−	0.805810i	$-0.701730\pi$
$743$	8.86441	−	11.1156i	0.325204	−	0.407792i	0.917378	+	0.398018i	$0.130302\pi$
$744$	−5.05648	−	1.55972i	−0.185379	−	0.0571820i
$745$	−5.20504	+	13.2622i	−0.190698	+	0.485890i
$746$	17.7146	−	5.46424i	0.648578	−	0.200060i
$747$	1.53920	−	20.5393i	0.0563165	−	0.751492i
$748$	−0.165022	+	0.723008i	−0.00603379	+	0.0264358i
$749$	47.1189	+	4.37346i	1.72169	+	0.159803i
$750$	−2.94916	−	12.9211i	−0.107688	−	0.471812i
$751$	25.1767	−	3.79477i	0.918709	−	0.138473i	0.327370	−	0.944896i	$-0.393838\pi$
$751$	25.1767	−	3.79477i	0.918709	−	0.138473i	0.591339	+	0.806423i	$0.298600\pi$
$752$	3.47376	+	2.36837i	0.126675	+	0.0863656i
$753$	−10.1204	−	17.5290i	−0.368808	−	0.638793i
$754$	7.60272	−	13.1683i	0.276875	−	0.479561i
$755$	21.9708	−	10.5806i	0.799600	−	0.385067i
$756$	2.33933	−	13.8477i	0.0850805	−	0.503637i
$757$	−21.9157	−	10.5540i	−0.796539	−	0.383593i	−0.00907885	−	0.999959i	$-0.502890\pi$
$757$	−21.9157	−	10.5540i	−0.796539	−	0.383593i	−0.787460	+	0.616366i	$0.788604\pi$
$758$	11.9804	−	8.16813i	0.435149	−	0.296680i
$759$	5.07347	−	4.70749i	0.184155	−	0.170871i
$760$	−4.80024	+	4.45397i	−0.174123	+	0.161563i
$761$	−0.381057	+	0.259800i	−0.0138133	+	0.00941776i	−0.570207	−	0.821501i	$-0.693137\pi$
$761$	−0.381057	+	0.259800i	−0.0138133	+	0.00941776i	0.556394	+	0.830919i	$0.312185\pi$
$762$	0.487023	+	0.234538i	0.0176430	+	0.00849642i
$763$	−31.0206	+	17.1829i	−1.12302	+	0.622062i
$764$	10.3745	−	4.99610i	0.375336	−	0.180753i
$765$	−1.33863	+	2.31857i	−0.0483982	+	0.0838282i
$766$	1.67561	+	2.90224i	0.0605423	+	0.104862i
$767$	−11.4969	−	7.83849i	−0.415131	−	0.283031i
$768$	1.10442	−	0.166465i	0.0398525	−	0.00600680i
$769$	−9.94282	−	43.5623i	−0.358547	−	1.57090i	−0.756815	−	0.653629i	$-0.773246\pi$
$769$	−9.94282	−	43.5623i	−0.358547	−	1.57090i	0.398268	−	0.917269i	$-0.369611\pi$
$770$	0.423784	+	3.19556i	0.0152721	+	0.115160i
$771$	3.95707	−	17.3370i	0.142510	−	0.624378i
$772$	1.82971	−	24.4158i	0.0658529	−	0.878746i
$773$	−7.91107	+	2.44024i	−0.284542	+	0.0877694i	−0.433741	−	0.901038i	$-0.642807\pi$
$773$	−7.91107	+	2.44024i	−0.284542	+	0.0877694i	0.149199	+	0.988807i	$0.452330\pi$
$774$	−7.73679	+	19.7130i	−0.278093	+	0.708570i
$775$	−11.2738	−	3.47751i	−0.404967	−	0.124916i
$776$	9.80459	−	12.2946i	0.351964	−	0.441349i
$777$	0.0585547	−	3.29804i	0.00210064	−	0.118317i
$778$	8.54575	+	10.7160i	0.306380	+	0.384188i
$779$	13.0284	+	33.1959i	0.466792	+	1.18937i
$780$	0.436880	+	5.82976i	0.0156428	+	0.208739i
$781$	−1.86635	−	0.281307i	−0.0667833	−	0.0100660i
$782$	−5.69548	−	5.28463i	−0.203670	−	0.188978i
$783$	24.4289			0.873018
$784$	−5.92000	+	3.73545i	−0.211429	+	0.133409i
$785$	−13.1077			−0.467834
$786$	−6.73956	−	6.25339i	−0.240392	−	0.223051i
$787$	−17.5140	−	2.63981i	−0.624308	−	0.0940992i	−0.170733	−	0.985317i	$-0.554613\pi$
$787$	−17.5140	−	2.63981i	−0.624308	−	0.0940992i	−0.453575	+	0.891218i	$0.649852\pi$
$788$	−0.913613	−	12.1913i	−0.0325461	−	0.434298i
$789$	7.59410	+	19.3495i	0.270357	+	0.688859i
$790$	8.03155	+	10.0712i	0.285750	+	0.358319i
$791$	−18.3002	−	39.7927i	−0.650680	−	1.41486i
$792$	0.840352	−	1.05377i	0.0298606	−	0.0374440i
$793$	−39.1526	−	12.0770i	−1.39035	−	0.428866i
$794$	−8.04097	+	20.4880i	−0.285363	+	0.727094i
$795$	−1.42139	+	0.438441i	−0.0504115	+	0.0155499i
$796$	−0.260303	+	3.47350i	−0.00922620	+	0.123115i
$797$	−10.1255	+	44.3627i	−0.358663	+	1.57141i	0.397863	+	0.917445i	$0.369752\pi$
$797$	−10.1255	+	44.3627i	−0.358663	+	1.57141i	−0.756527	+	0.653963i	$0.773105\pi$
$798$	11.4475	−	4.25989i	0.405238	−	0.150799i
$799$	0.902132	+	3.95250i	0.0319151	+	0.139829i
$800$	2.46240	−	0.371147i	0.0870590	−	0.0131220i
$801$	−2.61811	−	1.78500i	−0.0925063	−	0.0630697i
$802$	10.0537	+	17.4135i	0.355007	+	0.614891i
$803$	5.37525	−	9.31021i	0.189688	−	0.328550i
$804$	−6.12448	+	2.94940i	−0.215994	+	0.104017i
$805$	−31.2136	−	12.8945i	−1.10013	−	0.454470i
$806$	14.1031	+	6.79169i	0.496760	+	0.239227i
$807$	24.0428	−	16.3921i	0.846348	−	0.577030i
$808$	7.33264	−	6.80370i	0.257962	−	0.239353i
$809$	17.6085	−	16.3383i	0.619081	−	0.574423i	−0.307018	−	0.951704i	$-0.599331\pi$
$809$	17.6085	−	16.3383i	0.619081	−	0.574423i	0.926099	+	0.377281i	$0.123141\pi$
$810$	−0.878330	+	0.598835i	−0.0308614	+	0.0210409i
$811$	−14.0519	−	6.76704i	−0.493429	−	0.237623i	0.170585	−	0.985343i	$-0.445434\pi$
$811$	−14.0519	−	6.76704i	−0.493429	−	0.237623i	−0.664014	+	0.747720i	$0.731149\pi$
$812$	−8.12220	−	9.07144i	−0.285033	−	0.318345i
$813$	1.59306	−	0.767179i	0.0558712	−	0.0269062i
$814$	0.429236	−	0.743459i	0.0150447	−	0.0260582i
$815$	−2.53087	−	4.38360i	−0.0886525	−	0.153551i
$816$	0.889866	+	0.606701i	0.0311516	+	0.0212388i
$817$	−49.3887	+	7.44415i	−1.72789	+	0.260438i
$818$	−6.72026	−	29.4434i	−0.234968	−	1.02946i
$819$	−4.77471	+	14.5566i	−0.166842	+	0.508649i
$820$	−3.04139	+	13.3252i	−0.106210	+	0.465337i
$821$	−3.42952	+	45.7638i	−0.119691	+	1.59717i	0.537381	+	0.843339i	$0.319414\pi$
$821$	−3.42952	+	45.7638i	−0.119691	+	1.59717i	−0.657072	+	0.753828i	$0.728205\pi$
$822$	7.14691	−	2.20453i	0.249277	−	0.0768918i
$823$	0.656019	−	1.67151i	0.0228674	−	0.0582651i	−0.918984	−	0.394295i	$-0.870989\pi$
$823$	0.656019	−	1.67151i	0.0228674	−	0.0582651i	0.941851	+	0.336029i	$0.109084\pi$
$824$	−0.965836	−	0.297921i	−0.0336465	−	0.0103786i
$825$	−1.33366	+	1.67236i	−0.0464321	+	0.0582240i
$826$	−8.83369	+	6.79164i	−0.307364	+	0.236311i
$827$	17.9905	+	22.5594i	0.625592	+	0.784467i	0.989119	−	0.147116i	$-0.0469991\pi$
$827$	17.9905	+	22.5594i	0.625592	+	0.784467i	−0.363527	+	0.931584i	$0.618428\pi$
$828$	5.15888	+	13.1446i	0.179284	+	0.456807i
$829$	−1.50211	−	20.0443i	−0.0521704	−	0.696166i	−0.960566	−	0.278053i	$-0.910311\pi$
$829$	−1.50211	−	20.0443i	−0.0521704	−	0.696166i	0.908395	−	0.418113i	$-0.137308\pi$
$830$	18.4109	+	2.77499i	0.639051	+	0.0963214i
$831$	16.9328	+	15.7114i	0.587393	+	0.545021i
$832$	−3.30396			−0.114544
$833$	−6.63468	−	1.24233i	−0.229878	−	0.0430442i
$834$	−13.4484			−0.465680
$835$	−27.8172	−	25.8105i	−0.962652	−	0.893211i
$836$	3.14338	+	0.473789i	0.108716	+	0.0163863i
$837$	1.87934	+	25.0780i	0.0649595	+	0.866824i
$838$	9.68953	+	24.6885i	0.334719	+	0.852851i
$839$	−28.5369	−	35.7842i	−0.985204	−	1.23541i	−0.971875	−	0.235496i	$-0.924329\pi$
$839$	−28.5369	−	35.7842i	−0.985204	−	1.23541i	−0.0133290	−	0.999911i	$-0.504243\pi$
$840$	4.54488	+	1.12258i	0.156813	+	0.0387327i
$841$	−4.87558	+	6.11379i	−0.168124	+	0.210820i
$842$	3.26797	+	1.00804i	0.112622	+	0.0347392i
$843$	−3.92245	+	9.99423i	−0.135096	+	0.344220i
$844$	−11.8090	+	3.64260i	−0.406483	+	0.125383i
$845$	−0.246709	+	3.29210i	−0.00848704	+	0.113252i
$846$	1.63958	−	7.18346i	0.0563698	−	0.246972i
$847$	−19.0863	+	19.8514i	−0.655812	+	0.682102i
$848$	−0.187063	−	0.819577i	−0.00642377	−	0.0281444i
$849$	−10.5379	+	1.58833i	−0.361660	+	0.0545115i
$850$	1.98403	+	1.35269i	0.0680515	+	0.0463967i
$851$	4.49699	+	7.78901i	0.154155	+	0.267004i
$852$	−1.37054	+	2.37384i	−0.0469538	+	0.0813263i
$853$	−2.31043	+	1.11264i	−0.0791075	+	0.0380962i	−0.473019	−	0.881052i	$-0.656836\pi$
$853$	−2.31043	+	1.11264i	−0.0791075	+	0.0380962i	0.393912	+	0.919148i	$0.371122\pi$
$854$	−18.9611	+	26.7768i	−0.648834	+	0.916284i
$855$	10.3396	+	4.97930i	0.353608	+	0.170289i
$856$	14.7780	−	10.0754i	0.505100	−	0.344372i
$857$	−12.4163	+	11.5206i	−0.424132	+	0.393537i	−0.863155	−	0.504938i	$-0.831515\pi$
$857$	−12.4163	+	11.5206i	−0.424132	+	0.393537i	0.439023	+	0.898476i	$0.355325\pi$
$858$	2.08041	−	1.93034i	0.0710240	−	0.0659006i
$859$	−22.9625	+	15.6556i	−0.783472	+	0.534162i	−0.887717	−	0.460389i	$-0.847710\pi$
$859$	−22.9625	+	15.6556i	−0.783472	+	0.534162i	0.104245	+	0.994552i	$0.466757\pi$
$860$	−17.2474	−	8.30592i	−0.588132	−	0.283229i
$861$	14.7332	−	20.8063i	0.502107	−	0.709076i
$862$	−16.9397	+	8.15773i	−0.576968	+	0.277853i
$863$	6.87523	−	11.9082i	0.234035	−	0.405361i	−0.724956	−	0.688795i	$-0.758140\pi$
$863$	6.87523	−	11.9082i	0.234035	−	0.405361i	0.958992	+	0.283433i	$0.0914735\pi$
$864$	−2.65405	−	4.59695i	−0.0902927	−	0.156392i
$865$	32.2752	+	22.0049i	1.09739	+	0.748188i
$866$	−22.5538	+	3.39944i	−0.766410	+	0.115518i
$867$	−3.99397	−	17.4987i	−0.135642	−	0.594288i
$868$	8.68763	−	9.03590i	0.294877	−	0.306698i
$869$	1.39151	−	6.09662i	0.0472039	−	0.206814i
$870$	−0.608545	+	8.12047i	−0.0206316	+	0.275310i
$871$	19.2151	−	5.92709i	0.651080	−	0.200832i
$872$	−4.89676	+	12.4767i	−0.165825	+	0.422516i
$873$	−26.3348	−	8.12322i	−0.891299	−	0.274929i
$874$	−20.7649	+	26.0384i	−0.702384	+	0.880761i
$875$	30.4791	+	7.52830i	1.03038	+	0.254503i
$876$	−9.73435	−	12.2065i	−0.328893	−	0.412419i
$877$	20.7284	+	52.8151i	0.699949	+	1.78344i	0.617110	+	0.786877i	$0.288303\pi$
$877$	20.7284	+	52.8151i	0.699949	+	1.78344i	0.0828390	+	0.996563i	$0.473601\pi$
$878$	−1.57687	−	21.0419i	−0.0532169	−	0.710130i
$879$	−10.4139	−	1.56965i	−0.351253	−	0.0529428i
$880$	0.893138	+	0.828711i	0.0301077	+	0.0279358i
$881$	−24.5905			−0.828475			−0.414237	−	0.910169i	$-0.635952\pi$
$881$	−24.5905			−0.828475			−0.414237	+	0.910169i	$0.635952\pi$
$882$	9.88439	+	7.26612i	0.332825	+	0.244663i
$883$	−37.6457			−1.26688			−0.633439	−	0.773793i	$-0.718357\pi$
$883$	−37.6457			−1.26688			−0.633439	+	0.773793i	$0.718357\pi$
$884$	−2.33547	−	2.16700i	−0.0785503	−	0.0728840i
$885$	7.36881	+	1.11067i	0.247700	+	0.0373347i
$886$	−0.918178	−	12.2522i	−0.0308468	−	0.411622i
$887$	−18.5372	−	47.2320i	−0.622418	−	1.58590i	−0.798815	−	0.601576i	$-0.794540\pi$
$887$	−18.5372	−	47.2320i	−0.622418	−	1.58590i	0.176397	−	0.984319i	$-0.443556\pi$
$888$	−0.777329	−	0.974739i	−0.0260854	−	0.0327101i
$889$	−1.01514	+	0.780473i	−0.0340467	+	0.0261762i
$890$	1.78592	−	2.23948i	0.0598643	−	0.0750675i
$891$	0.493131	+	0.152111i	0.0165205	+	0.00509591i
$892$	5.48946	−	13.9869i	0.183801	−	0.468316i
$893$	16.6061	−	5.12231i	0.555703	−	0.171412i
$894$	0.750614	−	10.0162i	0.0251043	−	0.334993i
$895$	1.74837	−	7.66010i	0.0584415	−	0.256049i
$896$	−0.824606	+	2.51397i	−0.0275481	+	0.0839857i
$897$	6.61622	+	28.9876i	0.220909	+	0.967867i
$898$	−19.5733	+	2.95020i	−0.653170	+	0.0984495i
$899$	18.0153	+	12.2826i	0.600842	+	0.409647i
$900$	−2.18209	−	3.77950i	−0.0727364	−	0.125983i
$901$	0.405315	−	0.702025i	0.0135030	−	0.0233879i
$902$	5.97804	−	2.87887i	0.199047	−	0.0958559i
$903$	23.8188	+	26.6024i	0.792639	+	0.885274i
$904$	−14.9151	−	7.18272i	−0.496068	−	0.238894i
$905$	−5.83821	+	3.98043i	−0.194069	+	0.132314i
$906$	−12.6028	+	11.6937i	−0.418700	+	0.388497i
$907$	−1.63870	+	1.52049i	−0.0544121	+	0.0504870i	−0.706910	−	0.707303i	$-0.749912\pi$
$907$	−1.63870	+	1.52049i	−0.0544121	+	0.0504870i	0.652498	+	0.757790i	$0.273721\pi$
$908$	−8.80527	+	6.00333i	−0.292213	+	0.199227i
$909$	−15.7944	−	7.60617i	−0.523866	−	0.252281i
$910$	−12.7993	−	5.28746i	−0.424294	−	0.175277i
$911$	2.32925	−	1.12171i	0.0771716	−	0.0371639i	−0.394900	−	0.918724i	$-0.629221\pi$
$911$	2.32925	−	1.12171i	0.0771716	−	0.0371639i	0.472071	+	0.881560i	$0.343506\pi$
$912$	2.30831	−	3.99811i	0.0764358	−	0.132391i
$913$	−4.51928	−	7.82763i	−0.149566	−	0.259057i
$914$	−19.8132	−	13.5084i	−0.655364	−	0.446820i
$915$	21.6979	−	3.27042i	0.717309	−	0.108117i
$916$	−3.50545	−	15.3584i	−0.115823	−	0.507456i
$917$	20.4112	−	7.59551i	0.674039	−	0.250826i
$918$	1.13898	−	4.99019i	0.0375919	−	0.164701i
$919$	0.658467	−	8.78664i	0.0217208	−	0.289844i	−0.975757	−	0.218859i	$-0.929767\pi$
$919$	0.658467	−	8.78664i	0.0217208	−	0.289844i	0.997477	−	0.0709855i	$-0.0226144\pi$
$920$	−12.1976	+	3.76245i	−0.402142	+	0.124044i
$921$	3.39373	−	8.64708i	0.111827	−	0.284931i
$922$	5.76978	+	1.77974i	0.190018	+	0.0586127i
$923$	5.05557	−	6.33948i	0.166406	−	0.208667i
$924$	−0.949554	−	2.06475i	−0.0312380	−	0.0679253i
$925$	−1.73311	−	2.17326i	−0.0569844	−	0.0714562i
$926$	−4.34807	−	11.0787i	−0.142886	−	0.364069i
$927$	0.132374	+	1.76640i	0.00434772	+	0.0580163i
$928$	−4.55079	−	0.685921i	−0.149387	−	0.0225165i
$929$	18.3480	+	17.0245i	0.601980	+	0.558555i	0.921182	−	0.389131i	$-0.127225\pi$
$929$	18.3480	+	17.0245i	0.601980	+	0.558555i	−0.319203	+	0.947686i	$0.603415\pi$
$930$	−8.38306			−0.274891
$931$	−3.18509	+	28.7581i	−0.104387	+	0.942510i
$932$	20.8596			0.683277
$933$	−14.7822	−	13.7159i	−0.483948	−	0.449038i
$934$	−0.993040	−	0.149677i	−0.0324933	−	0.00489757i
$935$	0.0877979	+	1.17158i	0.00287130	+	0.0383148i
$936$	2.11543	+	5.39004i	0.0691451	+	0.176179i
$937$	16.5017	+	20.6925i	0.539087	+	0.675994i	0.974539	−	0.224218i	$-0.0719828\pi$
$937$	16.5017	+	20.6925i	0.539087	+	0.675994i	−0.435452	+	0.900212i	$0.643411\pi$
$938$	0.285846	−	16.1000i	0.00933319	−	0.525684i
$939$	−11.6988	+	14.6698i	−0.381776	+	0.478732i
$940$	6.36468	+	1.96324i	0.207593	+	0.0640339i
$941$	18.9113	−	48.1852i	0.616491	−	1.57079i	−0.191433	−	0.981506i	$-0.561314\pi$
$941$	18.9113	−	48.1852i	0.616491	−	1.57079i	0.807924	−	0.589287i	$-0.200591\pi$
$942$	8.83053	−	2.72386i	0.287714	−	0.0887481i
$943$	−5.19481	+	69.3199i	−0.169166	+	2.25737i
$944$	−0.937160	+	4.10596i	−0.0305019	+	0.133638i
$945$	−2.92495	−	22.0557i	−0.0951487	−	0.717472i
$946$	2.06791	+	9.06012i	0.0672336	+	0.294570i
$947$	−21.6735	+	3.26675i	−0.704293	+	0.106155i	−0.491417	−	0.870924i	$-0.663521\pi$
$947$	−21.6735	+	3.26675i	−0.704293	+	0.106155i	−0.212876	+	0.977079i	$0.568283\pi$
$948$	−7.50363	−	5.11589i	−0.243706	−	0.166156i
$949$	23.0923	+	39.9971i	0.749608	+	1.29836i
$950$	5.14656	−	8.91410i	0.166976	−	0.289211i
$951$	21.5324	−	10.3695i	0.698237	−	0.336253i
$952$	−2.23175	+	1.23621i	−0.0723314	+	0.0400657i
$953$	53.1575	+	25.5993i	1.72194	+	0.829243i	0.988814	+	0.149152i	$0.0476545\pi$
$953$	53.1575	+	25.5993i	1.72194	+	0.829243i	0.733128	+	0.680091i	$0.238060\pi$
$954$	−1.21728	+	0.829925i	−0.0394108	+	0.0268698i
$955$	13.3724	−	12.4078i	0.432722	−	0.401507i
$956$	7.80827	−	7.24502i	0.252538	−	0.234321i
$957$	3.26625	−	2.22689i	0.105583	−	0.0719853i
$958$	−15.5942	−	7.50976i	−0.503825	−	0.242629i
$959$	−2.95115	+	17.4694i	−0.0952977	+	0.564118i
$960$	1.59420	−	0.767726i	0.0514525	−	0.0247782i
$961$	4.27697	−	7.40793i	0.137967	−	0.238965i
$962$	1.84402	+	3.19394i	0.0594536	+	0.102977i
$963$	−25.8989	−	17.6576i	−0.834580	−	0.569007i
$964$	−6.11759	+	0.922079i	−0.197034	+	0.0296982i
$965$	−8.63132	−	37.8163i	−0.277852	−	1.21735i
$966$	23.7078	+	2.20050i	0.762786	+	0.0707999i
$967$	−0.635604	+	2.78476i	−0.0204397	+	0.0895520i	−0.984119	−	0.177510i	$-0.943196\pi$
$967$	−0.635604	+	2.78476i	−0.0204397	+	0.0895520i	0.963679	+	0.267062i	$0.0860529\pi$
$968$	−0.777831	+	10.3794i	−0.0250004	+	0.333607i
$969$	4.25396	−	1.31217i	0.136657	−	0.0421530i
$970$	9.10158	−	23.1904i	0.292234	−	0.744600i
$971$	−35.2691	−	10.8791i	−1.13184	−	0.349126i	−0.328414	−	0.944534i	$-0.606514\pi$
$971$	−35.2691	−	10.8791i	−1.13184	−	0.349126i	−0.803423	+	0.595408i	$0.796990\pi$
$972$	−9.46137	+	11.8642i	−0.303474	+	0.380544i
$973$	14.3296	−	28.4523i	0.459385	−	0.912139i
$974$	−1.19336	−	1.49643i	−0.0382377	−	0.0479486i
$975$	−3.35725	−	8.55413i	−0.107518	−	0.273951i
$976$	0.926739	+	12.3665i	0.0296642	+	0.395841i
$977$	40.3649	+	6.08403i	1.29139	+	0.194646i	0.758574	−	0.651587i	$-0.225896\pi$
$977$	40.3649	+	6.08403i	1.29139	+	0.194646i	0.532814	+	0.846232i	$0.321134\pi$
$978$	2.61596	+	2.42725i	0.0836491	+	0.0776150i
$979$	−1.39053			−0.0444416
$980$	−7.21768	+	8.41931i	−0.230560	+	0.268945i
$981$	23.4897			0.749968
$982$	−0.873435	−	0.810429i	−0.0278724	−	0.0258618i
$983$	59.9192	+	9.03136i	1.91112	+	0.288056i	0.993897	−	0.110309i	$-0.0351839\pi$
$983$	59.9192	+	9.03136i	1.91112	+	0.288056i	0.917227	+	0.398364i	$0.130422\pi$
$984$	−0.720100	−	9.60907i	−0.0229560	−	0.306326i
$985$	−7.07593	−	18.0292i	−0.225458	−	0.574457i
$986$	−2.76694	−	3.46963i	−0.0881172	−	0.110495i
$987$	−9.57435	−	7.91738i	−0.304755	−	0.252013i
$988$	−8.51479	+	10.6772i	−0.270891	+	0.339687i
$989$	−93.0358	−	28.6978i	−2.95837	−	0.912535i
$990$	0.780098	−	1.98766i	0.0247931	−	0.0631719i
$991$	0.0148715	−	0.00458726i	0.000472409	−	0.000145719i	−0.294519	−	0.955646i	$-0.595159\pi$
$991$	0.0148715	−	0.00458726i	0.000472409	−	0.000145719i	0.294991	+	0.955500i	$0.404683\pi$
$992$	0.354051	−	4.72448i	0.0112411	−	0.150002i
$993$	0.161762	−	0.708725i	0.00513336	−	0.0224907i
$994$	−3.56191	−	5.42897i	−0.112977	−	0.172197i
$995$	1.22793	+	5.37991i	0.0389280	+	0.170555i
$996$	−12.9799	+	1.95640i	−0.411283	+	0.0619909i
$997$	−17.6610	−	12.0411i	−0.559330	−	0.381344i	0.250405	−	0.968141i	$-0.419436\pi$
$997$	−17.6610	−	12.0411i	−0.559330	−	0.381344i	−0.809734	+	0.586797i	$0.800389\pi$
$998$	−2.16879	−	3.75645i	−0.0686518	−	0.118908i
$999$	−2.96258	+	5.13135i	−0.0937320	+	0.162349i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	98.2.g.b.9.2	✓	24
3.2	odd	2		882.2.z.b.793.2		24
4.3	odd	2		784.2.bg.b.401.1		24
7.2	even	3		686.2.e.c.99.2		24
7.3	odd	6		686.2.g.d.67.2		24
7.4	even	3		686.2.g.f.67.1		24
7.5	odd	6		686.2.e.d.99.3		24
7.6	odd	2		686.2.g.e.177.1		24
49.2	even	21		686.2.e.c.589.2		24
49.11	even	21	inner	98.2.g.b.11.2	yes	24
49.13	odd	14		686.2.g.d.471.2		24
49.16	even	21		4802.2.a.o.1.4		12
49.33	odd	42		4802.2.a.l.1.9		12
49.36	even	7		686.2.g.f.471.1		24
49.38	odd	42		686.2.g.e.655.1		24
49.47	odd	42		686.2.e.d.589.3		24
147.11	odd	42		882.2.z.b.109.2		24
196.11	odd	42		784.2.bg.b.305.1		24

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
98.2.g.b.9.2	✓	24	1.1	even	1	trivial
98.2.g.b.11.2	yes	24	49.11	even	21	inner
686.2.e.c.99.2		24	7.2	even	3
686.2.e.c.589.2		24	49.2	even	21
686.2.e.d.99.3		24	7.5	odd	6
686.2.e.d.589.3		24	49.47	odd	42
686.2.g.d.67.2		24	7.3	odd	6
686.2.g.d.471.2		24	49.13	odd	14
686.2.g.e.177.1		24	7.6	odd	2
686.2.g.e.655.1		24	49.38	odd	42
686.2.g.f.67.1		24	7.4	even	3
686.2.g.f.471.1		24	49.36	even	7
784.2.bg.b.305.1		24	196.11	odd	42
784.2.bg.b.401.1		24	4.3	odd	2
882.2.z.b.109.2		24	147.11	odd	42
882.2.z.b.793.2		24	3.2	odd	2
4802.2.a.l.1.9		12	49.33	odd	42
4802.2.a.o.1.4		12	49.16	even	21

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)

\(f(q)\)	\(=\)	\(q+(-0.733052 - 0.680173i) q^{2} +(1.10442 + 0.166465i) q^{3} +(0.0747301 + 0.997204i) q^{4} +(0.578784 + 1.47472i) q^{5} +(-0.696376 - 0.873227i) q^{6} +(2.58946 - 0.542854i) q^{7} +(0.623490 - 0.781831i) q^{8} +(-1.67467 - 0.516569i) q^{9} +O(q^{10})\)	\(q+(-0.733052 - 0.680173i) q^{2} +(1.10442 + 0.166465i) q^{3} +(0.0747301 + 0.997204i) q^{4} +(0.578784 + 1.47472i) q^{5} +(-0.696376 - 0.873227i) q^{6} +(2.58946 - 0.542854i) q^{7} +(0.623490 - 0.781831i) q^{8} +(-1.67467 - 0.516569i) q^{9} +(0.578784 - 1.47472i) q^{10} +(-0.734902 + 0.226687i) q^{11} +(-0.0834660 + 1.11378i) q^{12} +(0.735199 - 3.22112i) q^{13} +(-2.26744 - 1.36334i) q^{14} +(0.393735 + 1.72506i) q^{15} +(-0.988831 + 0.149042i) q^{16} +(-0.796729 - 0.543201i) q^{17} +(0.876267 + 1.51774i) q^{18} +(-2.06671 + 3.57965i) q^{19} +(-1.42734 + 0.687372i) q^{20} +(2.95023 - 0.168486i) q^{21} +(0.692907 + 0.333687i) q^{22} +(-6.65727 + 4.53885i) q^{23} +(0.818745 - 0.759685i) q^{24} +(1.82546 - 1.69378i) q^{25} +(-2.72986 + 1.86118i) q^{26} +(-4.78244 - 2.30310i) q^{27} +(0.734846 + 2.54165i) q^{28} +(-4.14643 + 1.99682i) q^{29} +(0.884713 - 1.53237i) q^{30} +(-2.36886 - 4.10299i) q^{31} +(0.826239 + 0.563320i) q^{32} +(-0.849379 + 0.128023i) q^{33} +(0.214573 + 0.940107i) q^{34} +(2.29930 + 3.50453i) q^{35} +(0.389976 - 1.70860i) q^{36} +(0.0834174 - 1.11313i) q^{37} +(3.94979 - 1.21835i) q^{38} +(1.34818 - 3.43510i) q^{39} +(1.51385 + 0.466960i) q^{40} +(5.37914 - 6.74523i) q^{41} +(-2.27727 - 1.88316i) q^{42} +(7.53399 + 9.44733i) q^{43} +(-0.280973 - 0.715906i) q^{44} +(-0.207482 - 2.76866i) q^{45} +(7.96733 + 1.20088i) q^{46} +(-3.08197 - 2.85965i) q^{47} -1.11690 q^{48} +(6.41062 - 2.81140i) q^{49} -2.49021 q^{50} +(-0.789503 - 0.732552i) q^{51} +(3.26705 + 0.492429i) q^{52} +(0.0628221 + 0.838303i) q^{53} +(1.93927 + 4.94118i) q^{54} +(-0.759649 - 0.952570i) q^{55} +(1.19008 - 2.36299i) q^{56} +(-2.87842 + 3.60942i) q^{57} +(4.39773 + 1.35652i) q^{58} +(1.53865 - 3.92043i) q^{59} +(-1.69082 + 0.521548i) q^{60} +(0.926739 - 12.3665i) q^{61} +(-1.05424 + 4.61894i) q^{62} +(-4.61693 - 0.428532i) q^{63} +(-0.222521 - 0.974928i) q^{64} +(5.17577 - 0.780121i) q^{65} +(0.709717 + 0.483877i) q^{66} +(3.04309 + 5.27079i) q^{67} +(0.482142 - 0.835095i) q^{68} +(-8.10802 + 3.90462i) q^{69} +(0.698184 - 4.13292i) q^{70} +(2.21114 + 1.06483i) q^{71} +(-1.44801 + 0.987238i) q^{72} +(-10.2470 + 9.50785i) q^{73} +(-0.818269 + 0.759242i) q^{74} +(2.29803 - 1.56677i) q^{75} +(-3.72409 - 1.79343i) q^{76} +(-1.77994 + 0.985941i) q^{77} +(-3.32474 + 1.60111i) q^{78} +(-4.06557 + 7.04177i) q^{79} +(-0.792115 - 1.37198i) q^{80} +(-0.554420 - 0.377997i) q^{81} +(-8.53111 + 1.28586i) q^{82} +(2.61520 + 11.4579i) q^{83} +(0.388486 + 2.92939i) q^{84} +(0.339934 - 1.48935i) q^{85} +(0.903007 - 12.0498i) q^{86} +(-4.91182 + 1.51510i) q^{87} +(-0.280973 + 0.715906i) q^{88} +(1.72774 + 0.532938i) q^{89} +(-1.73107 + 2.17069i) q^{90} +(0.155175 - 8.74007i) q^{91} +(-5.02366 - 6.29947i) q^{92} +(-1.93323 - 4.92578i) q^{93} +(0.314188 + 4.19255i) q^{94} +(-6.47516 - 0.975973i) q^{95} +(0.818745 + 0.759685i) q^{96} +15.7253 q^{97} +(-6.61155 - 2.29943i) q^{98} +1.34782 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 24 q + 2 q^{2} - 7 q^{3} + 2 q^{4} - 7 q^{6} - 4 q^{8} + 19 q^{9}+O(q^{10}) \) 24 * q + 2 * q^2 - 7 * q^3 + 2 * q^4 - 7 * q^6 - 4 * q^8 + 19 * q^9	\( 24 q + 2 q^{2} - 7 q^{3} + 2 q^{4} - 7 q^{6} - 4 q^{8} + 19 q^{9} - 11 q^{11} - 14 q^{13} + 9 q^{15} + 2 q^{16} - 7 q^{17} - 9 q^{18} - 14 q^{19} - 7 q^{20} - 7 q^{21} + q^{22} - 29 q^{23} - 8 q^{25} - 7 q^{26} - 7 q^{27} + 14 q^{28} + 13 q^{29} - 8 q^{30} - 28 q^{31} + 2 q^{32} - 14 q^{33} - 7 q^{34} - 35 q^{35} - 17 q^{36} + 20 q^{37} + 35 q^{38} + 56 q^{39} + 14 q^{40} + 28 q^{41} - 21 q^{42} + 6 q^{43} + 3 q^{44} + 7 q^{45} + 34 q^{46} + 42 q^{47} + 14 q^{48} + 28 q^{49} + 16 q^{50} + 32 q^{51} - 7 q^{52} - 60 q^{53} + 21 q^{54} - 14 q^{55} + 7 q^{56} + 23 q^{57} + 18 q^{58} + 49 q^{59} + 6 q^{60} - 14 q^{61} - 28 q^{63} - 4 q^{64} - 28 q^{65} + 21 q^{66} + 24 q^{67} - 14 q^{68} + 7 q^{69} - 28 q^{70} + 6 q^{71} - 2 q^{72} - 35 q^{73} - 15 q^{74} - 56 q^{75} + 49 q^{77} + 6 q^{79} - 14 q^{80} - 45 q^{81} - 14 q^{82} - 77 q^{83} - 21 q^{84} - 33 q^{85} - 38 q^{86} + 63 q^{87} + 3 q^{88} - 21 q^{90} - 21 q^{91} - 5 q^{92} - 38 q^{93} - 35 q^{94} + 86 q^{95} + 98 q^{97} + 28 q^{98} - 106 q^{99}+O(q^{100}) \) 24 * q + 2 * q^2 - 7 * q^3 + 2 * q^4 - 7 * q^6 - 4 * q^8 + 19 * q^9 - 11 * q^11 - 14 * q^13 + 9 * q^15 + 2 * q^16 - 7 * q^17 - 9 * q^18 - 14 * q^19 - 7 * q^20 - 7 * q^21 + q^22 - 29 * q^23 - 8 * q^25 - 7 * q^26 - 7 * q^27 + 14 * q^28 + 13 * q^29 - 8 * q^30 - 28 * q^31 + 2 * q^32 - 14 * q^33 - 7 * q^34 - 35 * q^35 - 17 * q^36 + 20 * q^37 + 35 * q^38 + 56 * q^39 + 14 * q^40 + 28 * q^41 - 21 * q^42 + 6 * q^43 + 3 * q^44 + 7 * q^45 + 34 * q^46 + 42 * q^47 + 14 * q^48 + 28 * q^49 + 16 * q^50 + 32 * q^51 - 7 * q^52 - 60 * q^53 + 21 * q^54 - 14 * q^55 + 7 * q^56 + 23 * q^57 + 18 * q^58 + 49 * q^59 + 6 * q^60 - 14 * q^61 - 28 * q^63 - 4 * q^64 - 28 * q^65 + 21 * q^66 + 24 * q^67 - 14 * q^68 + 7 * q^69 - 28 * q^70 + 6 * q^71 - 2 * q^72 - 35 * q^73 - 15 * q^74 - 56 * q^75 + 49 * q^77 + 6 * q^79 - 14 * q^80 - 45 * q^81 - 14 * q^82 - 77 * q^83 - 21 * q^84 - 33 * q^85 - 38 * q^86 + 63 * q^87 + 3 * q^88 - 21 * q^90 - 21 * q^91 - 5 * q^92 - 38 * q^93 - 35 * q^94 + 86 * q^95 + 98 * q^97 + 28 * q^98 - 106 * q^99

Introduction

L-functions

Modular forms

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