LMFDB - Embedded newform 289.2.h.a.106.17

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [289,2,Mod(4,289)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(289, base_ring=CyclotomicField(68))

chi = DirichletCharacter(H, H._module([27]))

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

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

chi := DirichletCharacter("289.4");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 289 = 17^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	289.h (of order $68$, degree $32$, 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:	$2.30767661842$
Analytic rank:	$0$
Dimension:	$768$
Relative dimension:	$24$ over $\Q(\zeta_{68})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{68}]$

Embedding invariants

Embedding label			106.17
Character	$\chi$	$=$	289.106
Dual form			289.2.h.a.30.17

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.329015 - 0.849286i) q^{2} +(-0.299639 - 2.14804i) q^{3} +(0.864982 + 0.788536i) q^{4} +(0.894289 + 2.66820i) q^{5} +(-1.92289 - 0.452259i) q^{6} +(0.708575 - 1.27214i) q^{7} +(2.58489 - 1.28712i) q^{8} +(-1.63883 + 0.466286i) q^{9} +O(q^{10})$	\(q+(0.329015 - 0.849286i) q^{2} +(-0.299639 - 2.14804i) q^{3} +(0.864982 + 0.788536i) q^{4} +(0.894289 + 2.66820i) q^{5} +(-1.92289 - 0.452259i) q^{6} +(0.708575 - 1.27214i) q^{7} +(2.58489 - 1.28712i) q^{8} +(-1.63883 + 0.466286i) q^{9} +(2.56029 + 0.118370i) q^{10} +(-0.131254 - 2.83897i) q^{11} +(1.43463 - 2.09430i) q^{12} +(0.606952 + 1.21892i) q^{13} +(-0.847275 - 1.02033i) q^{14} +(5.46343 - 2.72047i) q^{15} +(-0.0266740 - 0.287859i) q^{16} +(-0.991529 + 4.00211i) q^{17} +(-0.143188 + 1.54525i) q^{18} +(-2.01009 - 5.18863i) q^{19} +(-1.33042 + 3.01312i) q^{20} +(-2.94492 - 1.14087i) q^{21} +(-2.45428 - 0.822592i) q^{22} +(-2.22250 + 3.99016i) q^{23} +(-3.53933 - 5.16679i) q^{24} +(-2.32943 + 1.75910i) q^{25} +(1.23491 - 0.114431i) q^{26} +(-1.13546 - 2.57157i) q^{27} +(1.61603 - 0.541639i) q^{28} +(2.62504 - 0.121363i) q^{29} +(-0.512902 - 5.53509i) q^{30} +(-7.46880 - 2.50329i) q^{31} +(5.30153 + 1.50842i) q^{32} +(-6.05890 + 1.13260i) q^{33} +(3.07271 + 2.15885i) q^{34} +(4.02798 + 0.752960i) q^{35} +(-1.78524 - 0.888944i) q^{36} +(-7.74281 + 5.30395i) q^{37} -5.06798 q^{38} +(2.43643 - 1.66900i) q^{39} +(5.74594 + 5.74594i) q^{40} +(-0.892185 + 0.124454i) q^{41} +(-1.93785 + 2.12572i) q^{42} +(2.28279 + 0.211531i) q^{43} +(2.12510 - 2.55916i) q^{44} +(-2.70973 - 3.95572i) q^{45} +(2.65755 + 3.20036i) q^{46} +(-0.732563 + 2.57469i) q^{47} +(-0.610340 + 0.143551i) q^{48} +(2.56877 + 4.14871i) q^{49} +(0.727563 + 2.55712i) q^{50} +(8.89380 + 0.930659i) q^{51} +(-0.436162 + 1.53295i) q^{52} +(6.27421 - 1.78517i) q^{53} +(-2.55759 + 0.118244i) q^{54} +(7.45755 - 2.88907i) q^{55} +(0.194195 - 4.20036i) q^{56} +(-10.5431 + 5.87247i) q^{57} +(0.760606 - 2.26934i) q^{58} +(-5.23179 + 8.44963i) q^{59} +(6.87096 + 1.95496i) q^{60} +(12.7703 + 3.00354i) q^{61} +(-4.58336 + 5.51953i) q^{62} +(-0.568052 + 2.41521i) q^{63} +(3.37379 - 4.46762i) q^{64} +(-2.70954 + 2.70954i) q^{65} +(-1.03156 + 5.51838i) q^{66} +(-4.10638 + 1.59082i) q^{67} +(-4.01346 + 2.67990i) q^{68} +(9.23698 + 3.57843i) q^{69} +(1.96474 - 3.17317i) q^{70} +(7.65701 + 4.26492i) q^{71} +(-3.63603 + 3.31468i) q^{72} +(-6.37512 - 5.29383i) q^{73} +(1.95707 + 8.32094i) q^{74} +(4.47661 + 4.47661i) q^{75} +(2.35273 - 6.07310i) q^{76} +(-3.70456 - 1.84465i) q^{77} +(-0.615831 - 2.61835i) q^{78} +(-9.25323 - 4.08570i) q^{79} +(0.744209 - 0.328600i) q^{80} +(-9.52960 + 5.90048i) q^{81} +(-0.187845 + 0.798668i) q^{82} +(-0.991492 + 0.748740i) q^{83} +(-1.64769 - 3.30900i) q^{84} +(-11.5651 + 0.933447i) q^{85} +(0.930722 - 1.86914i) q^{86} +(-1.04726 - 5.60234i) q^{87} +(-3.99339 - 7.16950i) q^{88} +(3.00132 - 6.02747i) q^{89} +(-4.25107 + 0.999844i) q^{90} +(1.98071 + 0.0915737i) q^{91} +(-5.06881 + 1.69889i) q^{92} +(-3.13923 + 16.7934i) q^{93} +(1.94563 + 1.46927i) q^{94} +(12.0467 - 10.0034i) q^{95} +(1.65159 - 11.8399i) q^{96} +(-16.6048 - 9.24879i) q^{97} +(4.36861 - 0.816634i) q^{98} +(1.53888 + 4.59138i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 768 q - 34 q^{2} - 34 q^{3} + 14 q^{4} - 34 q^{5} - 34 q^{6} - 34 q^{7} - 34 q^{8} - 34 q^{9}+O(q^{10}) $ 768 * q - 34 * q^2 - 34 * q^3 + 14 * q^4 - 34 * q^5 - 34 * q^6 - 34 * q^7 - 34 * q^8 - 34 * q^9	\( 768 q - 34 q^{2} - 34 q^{3} + 14 q^{4} - 34 q^{5} - 34 q^{6} - 34 q^{7} - 34 q^{8} - 34 q^{9} + 34 q^{10} - 34 q^{11} - 34 q^{12} - 30 q^{13} - 34 q^{14} - 34 q^{15} - 82 q^{16} - 34 q^{17} - 42 q^{18} - 34 q^{19} - 34 q^{20} - 26 q^{21} - 34 q^{22} - 34 q^{23} - 204 q^{24} + 170 q^{25} - 34 q^{26} - 34 q^{27} - 34 q^{28} - 34 q^{29} - 14 q^{30} - 34 q^{31} - 34 q^{32} + 56 q^{33} - 34 q^{34} - 42 q^{35} - 34 q^{36} - 34 q^{37} + 144 q^{38} - 170 q^{39} - 34 q^{40} - 34 q^{41} - 34 q^{42} - 34 q^{43} - 34 q^{44} - 34 q^{45} + 102 q^{46} - 30 q^{47} - 34 q^{48} - 34 q^{49} - 62 q^{50} + 238 q^{51} - 50 q^{52} + 136 q^{54} - 14 q^{55} - 34 q^{56} - 34 q^{57} - 34 q^{58} - 34 q^{59} - 34 q^{60} - 34 q^{61} - 238 q^{62} - 34 q^{63} + 38 q^{64} - 34 q^{65} + 476 q^{66} + 82 q^{67} - 34 q^{68} - 62 q^{69} - 34 q^{70} - 34 q^{71} + 10 q^{72} - 34 q^{73} - 34 q^{74} + 102 q^{75} - 102 q^{76} - 374 q^{77} - 34 q^{78} + 68 q^{79} - 34 q^{80} + 30 q^{81} - 34 q^{82} + 102 q^{83} - 82 q^{84} - 204 q^{85} - 62 q^{86} - 34 q^{87} + 170 q^{88} - 22 q^{89} - 34 q^{90} - 34 q^{91} + 34 q^{92} - 34 q^{93} + 238 q^{94} - 34 q^{95} + 544 q^{96} - 34 q^{97} + 10 q^{98} - 34 q^{99}+O(q^{100}) \) 768 * q - 34 * q^2 - 34 * q^3 + 14 * q^4 - 34 * q^5 - 34 * q^6 - 34 * q^7 - 34 * q^8 - 34 * q^9 + 34 * q^10 - 34 * q^11 - 34 * q^12 - 30 * q^13 - 34 * q^14 - 34 * q^15 - 82 * q^16 - 34 * q^17 - 42 * q^18 - 34 * q^19 - 34 * q^20 - 26 * q^21 - 34 * q^22 - 34 * q^23 - 204 * q^24 + 170 * q^25 - 34 * q^26 - 34 * q^27 - 34 * q^28 - 34 * q^29 - 14 * q^30 - 34 * q^31 - 34 * q^32 + 56 * q^33 - 34 * q^34 - 42 * q^35 - 34 * q^36 - 34 * q^37 + 144 * q^38 - 170 * q^39 - 34 * q^40 - 34 * q^41 - 34 * q^42 - 34 * q^43 - 34 * q^44 - 34 * q^45 + 102 * q^46 - 30 * q^47 - 34 * q^48 - 34 * q^49 - 62 * q^50 + 238 * q^51 - 50 * q^52 + 136 * q^54 - 14 * q^55 - 34 * q^56 - 34 * q^57 - 34 * q^58 - 34 * q^59 - 34 * q^60 - 34 * q^61 - 238 * q^62 - 34 * q^63 + 38 * q^64 - 34 * q^65 + 476 * q^66 + 82 * q^67 - 34 * q^68 - 62 * q^69 - 34 * q^70 - 34 * q^71 + 10 * q^72 - 34 * q^73 - 34 * q^74 + 102 * q^75 - 102 * q^76 - 374 * q^77 - 34 * q^78 + 68 * q^79 - 34 * q^80 + 30 * q^81 - 34 * q^82 + 102 * q^83 - 82 * q^84 - 204 * q^85 - 62 * q^86 - 34 * q^87 + 170 * q^88 - 22 * q^89 - 34 * q^90 - 34 * q^91 + 34 * q^92 - 34 * q^93 + 238 * q^94 - 34 * q^95 + 544 * q^96 - 34 * q^97 + 10 * q^98 - 34 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/289\mathbb{Z}\right)^\times$.

$n$	$3$
$\chi(n)$	$e\left(\frac{31}{68}\right)$

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 $

$2$	0.329015	−	0.849286i	0.232649	−	0.600536i	−0.766480	−	0.642268i	$-0.777994\pi$
$2$	0.329015	−	0.849286i	0.232649	−	0.600536i	0.999129	+	0.0417324i	$0.0132877\pi$
$3$	−0.299639	−	2.14804i	−0.172997	−	1.24017i	−0.858771	−	0.512359i	$-0.828772\pi$
$3$	−0.299639	−	2.14804i	−0.172997	−	1.24017i	0.685775	−	0.727814i	$-0.259464\pi$
$4$	0.864982	+	0.788536i	0.432491	+	0.394268i
$5$	0.894289	+	2.66820i	0.399938	+	1.19325i	0.936885	+	0.349637i	$0.113695\pi$
$5$	0.894289	+	2.66820i	0.399938	+	1.19325i	−0.536947	+	0.843616i	$0.680423\pi$
$6$	−1.92289	−	0.452259i	−0.785016	−	0.184634i
$7$	0.708575	−	1.27214i	0.267816	−	0.480822i	−0.705984	−	0.708228i	$-0.749495\pi$
$7$	0.708575	−	1.27214i	0.267816	−	0.480822i	0.973800	+	0.227406i	$0.0730243\pi$
$8$	2.58489	−	1.28712i	0.913898	−	0.455067i
$9$	−1.63883	+	0.466286i	−0.546276	+	0.155429i
$10$	2.56029	+	0.118370i	0.809636	+	0.0374317i
$11$	−0.131254	−	2.83897i	−0.0395744	−	0.855982i	−0.922389	−	0.386261i	$-0.873766\pi$
$11$	−0.131254	−	2.83897i	−0.0395744	−	0.855982i	0.882815	−	0.469721i	$-0.155645\pi$
$12$	1.43463	−	2.09430i	0.414141	−	0.604571i
$13$	0.606952	+	1.21892i	0.168338	+	0.338069i	0.963228	−	0.268685i	$-0.0865891\pi$
$13$	0.606952	+	1.21892i	0.168338	+	0.338069i	−0.794890	+	0.606754i	$0.792471\pi$
$14$	−0.847275	−	1.02033i	−0.226444	−	0.272696i
$15$	5.46343	−	2.72047i	1.41065	−	0.702421i
$16$	−0.0266740	−	0.287859i	−0.00666851	−	0.0719647i
$17$	−0.991529	+	4.00211i	−0.240481	+	0.970654i
$17$	−0.991529	+	4.00211i	−0.240481	+	0.970654i
$18$	−0.143188	+	1.54525i	−0.0337498	+	0.364218i
$19$	−2.01009	−	5.18863i	−0.461146	−	1.19035i	−0.948395	−	0.317091i	$-0.897294\pi$
$19$	−2.01009	−	5.18863i	−0.461146	−	1.19035i	0.487249	−	0.873263i	$-0.338000\pi$
$20$	−1.33042	+	3.01312i	−0.297492	+	0.673754i
$21$	−2.94492	−	1.14087i	−0.642634	−	0.248958i
$22$	−2.45428	−	0.822592i	−0.523255	−	0.175377i
$23$	−2.22250	+	3.99016i	−0.463424	+	0.832006i	−0.999929	−	0.0118914i	$-0.996215\pi$
$23$	−2.22250	+	3.99016i	−0.463424	+	0.832006i	0.536505	+	0.843897i	$0.319744\pi$
$24$	−3.53933	−	5.16679i	−0.722464	−	1.05467i
$25$	−2.32943	+	1.75910i	−0.465885	+	0.351820i
$26$	1.23491	−	0.114431i	0.242186	−	0.0224418i
$27$	−1.13546	−	2.57157i	−0.218520	−	0.494900i
$28$	1.61603	−	0.541639i	0.305401	−	0.102360i
$29$	2.62504	−	0.121363i	0.487458	−	0.0225365i	0.198941	−	0.980011i	$-0.436250\pi$
$29$	2.62504	−	0.121363i	0.487458	−	0.0225365i	0.288517	+	0.957475i	$0.406838\pi$
$30$	−0.512902	−	5.53509i	−0.0936426	−	1.01056i
$31$	−7.46880	−	2.50329i	−1.34144	−	0.449604i	−0.446095	−	0.894985i	$-0.647186\pi$
$31$	−7.46880	−	2.50329i	−1.34144	−	0.449604i	−0.895341	+	0.445381i	$0.853068\pi$
$32$	5.30153	+	1.50842i	0.937187	+	0.266653i
$33$	−6.05890	+	1.13260i	−1.05472	+	0.197161i
$34$	3.07271	+	2.15885i	0.526965	+	0.370239i
$35$	4.02798	+	0.752960i	0.680853	+	0.127273i
$36$	−1.78524	−	0.888944i	−0.297540	−	0.148157i
$37$	−7.74281	+	5.30395i	−1.27291	+	0.871964i	−0.996037	−	0.0889427i	$-0.971651\pi$
$37$	−7.74281	+	5.30395i	−1.27291	+	0.871964i	−0.276873	+	0.960906i	$0.589298\pi$
$38$	−5.06798			−0.822135
$39$	2.43643	−	1.66900i	0.390142	−	0.267253i
$40$	5.74594	+	5.74594i	0.908513	+	0.908513i
$41$	−0.892185	+	0.124454i	−0.139336	+	0.0194365i	−0.207482	−	0.978239i	$-0.566527\pi$
$41$	−0.892185	+	0.124454i	−0.139336	+	0.0194365i	0.0681462	+	0.997675i	$0.478292\pi$
$42$	−1.93785	+	2.12572i	−0.299016	+	0.328005i
$43$	2.28279	+	0.211531i	0.348122	+	0.0322582i	0.264909	−	0.964274i	$-0.414658\pi$
$43$	2.28279	+	0.211531i	0.348122	+	0.0322582i	0.0832133	+	0.996532i	$0.473482\pi$
$44$	2.12510	−	2.55916i	0.320370	−	0.385808i
$45$	−2.70973	−	3.95572i	−0.403942	−	0.589683i
$46$	2.65755	+	3.20036i	0.391834	+	0.471868i
$47$	−0.732563	+	2.57469i	−0.106855	+	0.375557i	−0.996745	−	0.0806182i	$-0.974311\pi$
$47$	−0.732563	+	2.57469i	−0.106855	+	0.375557i	0.889890	+	0.456176i	$0.150781\pi$
$48$	−0.610340	+	0.143551i	−0.0880950	+	0.0207198i
$49$	2.56877	+	4.14871i	0.366968	+	0.592673i
$50$	0.727563	+	2.55712i	0.102893	+	0.361631i
$51$	8.89380	+	0.930659i	1.24538	+	0.130318i
$52$	−0.436162	+	1.53295i	−0.0604848	+	0.212582i
$53$	6.27421	−	1.78517i	0.861829	−	0.245211i	0.186253	−	0.982502i	$-0.440366\pi$
$53$	6.27421	−	1.78517i	0.861829	−	0.245211i	0.675576	+	0.737290i	$0.263895\pi$
$54$	−2.55759	+	0.118244i	−0.348043	+	0.0160910i
$55$	7.45755	−	2.88907i	1.00558	−	0.389562i
$56$	0.194195	−	4.20036i	0.0259503	−	0.561297i
$57$	−10.5431	+	5.87247i	−1.39647	+	0.777828i
$58$	0.760606	−	2.26934i	0.0998725	−	0.297979i
$59$	−5.23179	+	8.44963i	−0.681121	+	1.10005i	0.307778	+	0.951458i	$0.400415\pi$
$59$	−5.23179	+	8.44963i	−0.681121	+	1.10005i	−0.988899	+	0.148590i	$0.952527\pi$
$60$	6.87096	+	1.95496i	0.887037	+	0.252384i
$61$	12.7703	+	3.00354i	1.63507	+	0.384564i	0.941815	−	0.336133i	$-0.109119\pi$
$61$	12.7703	+	3.00354i	1.63507	+	0.384564i	0.693251	+	0.720697i	$0.256178\pi$
$62$	−4.58336	+	5.51953i	−0.582087	+	0.700981i
$63$	−0.568052	+	2.41521i	−0.0715679	+	0.304288i
$64$	3.37379	−	4.46762i	0.421724	−	0.558453i
$65$	−2.70954	+	2.70954i	−0.336077	+	0.336077i
$66$	−1.03156	+	5.51838i	−0.126977	+	0.679266i
$67$	−4.10638	+	1.59082i	−0.501674	+	0.194349i	−0.598763	−	0.800926i	$-0.704341\pi$
$67$	−4.10638	+	1.59082i	−0.501674	+	0.194349i	0.0970893	+	0.995276i	$0.469047\pi$
$68$	−4.01346	+	2.67990i	−0.486704	+	0.324985i
$69$	9.23698	+	3.57843i	1.11200	+	0.430792i
$70$	1.96474	−	3.17317i	0.234832	−	0.379266i
$71$	7.65701	+	4.26492i	0.908719	+	0.506153i	0.869975	−	0.493096i	$-0.164135\pi$
$71$	7.65701	+	4.26492i	0.908719	+	0.506153i	0.0387444	+	0.999249i	$0.487664\pi$
$72$	−3.63603	+	3.31468i	−0.428510	+	0.390638i
$73$	−6.37512	−	5.29383i	−0.746151	−	0.619596i	0.185628	−	0.982620i	$-0.440568\pi$
$73$	−6.37512	−	5.29383i	−0.746151	−	0.619596i	−0.931780	+	0.363024i	$0.881744\pi$
$74$	1.95707	+	8.32094i	0.227504	+	0.967289i
$75$	4.47661	+	4.47661i	0.516915	+	0.516915i
$76$	2.35273	−	6.07310i	0.269877	−	0.696632i
$77$	−3.70456	−	1.84465i	−0.422174	−	0.210218i
$78$	−0.615831	−	2.61835i	−0.0697292	−	0.296470i
$79$	−9.25323	−	4.08570i	−1.04107	−	0.459677i	−0.188380	−	0.982096i	$-0.560324\pi$
$79$	−9.25323	−	4.08570i	−1.04107	−	0.459677i	−0.852689	+	0.522419i	$0.825030\pi$
$80$	0.744209	−	0.328600i	0.0832051	−	0.0367386i
$81$	−9.52960	+	5.90048i	−1.05884	+	0.655609i
$82$	−0.187845	+	0.798668i	−0.0207440	+	0.0881981i
$83$	−0.991492	+	0.748740i	−0.108830	+	0.0821849i	−0.655647	−	0.755067i	$-0.727604\pi$
$83$	−0.991492	+	0.748740i	−0.108830	+	0.0821849i	0.546817	+	0.837252i	$0.315839\pi$
$84$	−1.64769	−	3.30900i	−0.179778	−	0.361042i
$85$	−11.5651	+	0.933447i	−1.25441	+	0.101247i
$86$	0.930722	−	1.86914i	0.100362	−	0.201555i
$87$	−1.04726	−	5.60234i	−0.112278	−	0.600634i
$88$	−3.99339	−	7.16950i	−0.425696	−	0.764271i
$89$	3.00132	−	6.02747i	0.318140	−	0.638910i	−0.677151	−	0.735844i	$-0.736786\pi$
$89$	3.00132	−	6.02747i	0.318140	−	0.638910i	0.995291	+	0.0969334i	$0.0309034\pi$
$90$	−4.25107	+	0.999844i	−0.448103	+	0.105393i
$91$	1.98071	+	0.0915737i	0.207635	+	0.00959953i
$92$	−5.06881	+	1.69889i	−0.528460	+	0.177122i
$93$	−3.13923	+	16.7934i	−0.325523	+	1.74139i
$94$	1.94563	+	1.46927i	0.200676	+	0.151543i
$95$	12.0467	−	10.0034i	1.23596	−	1.02633i
$96$	1.65159	−	11.8399i	0.168565	−	1.20840i
$97$	−16.6048	−	9.24879i	−1.68596	−	0.939072i	−0.970728	−	0.240183i	$-0.922793\pi$
$97$	−16.6048	−	9.24879i	−1.68596	−	0.939072i	−0.715230	−	0.698889i	$-0.753678\pi$
$98$	4.36861	−	0.816634i	0.441296	−	0.0824925i
$99$	1.53888	+	4.59138i	0.154663	+	0.461451i
$100$	−3.40203	−	0.315244i	−0.340203	−	0.0315244i
$101$	−6.68958	+	4.14201i	−0.665638	+	0.412146i	−0.817241	−	0.576296i	$-0.804498\pi$
$101$	−6.68958	+	4.14201i	−0.665638	+	0.412146i	0.151603	+	0.988441i	$0.451556\pi$
$102$	3.71659	−	7.24718i	0.367997	−	0.717578i
$103$	0.527248	+	0.326458i	0.0519513	+	0.0321669i	0.552162	−	0.833737i	$-0.313803\pi$
$103$	0.527248	+	0.326458i	0.0519513	+	0.0321669i	−0.500211	+	0.865904i	$0.666744\pi$
$104$	3.13781	+	2.36957i	0.307688	+	0.232355i
$105$	0.410449	−	8.87789i	0.0400558	−	0.866393i
$106$	0.548193	−	5.91594i	0.0532452	−	0.574607i
$107$	−1.89763	+	4.29772i	−0.183451	+	0.415476i	−0.982620	−	0.185630i	$-0.940567\pi$
$107$	−1.89763	+	4.29772i	−0.183451	+	0.415476i	0.799169	+	0.601106i	$0.205273\pi$
$108$	1.04562	−	3.11972i	0.100615	−	0.300195i
$109$	1.79172	−	12.8444i	0.171616	−	1.23027i	−0.690414	−	0.723414i	$-0.742572\pi$
$109$	1.79172	−	12.8444i	0.171616	−	1.23027i	0.862030	−	0.506857i	$-0.169193\pi$
$110$		−	7.28414i		−	0.694515i
$111$	13.7132	+	15.0426i	1.30160	+	1.42778i
$112$	−0.385096	−	0.170037i	−0.0363882	−	0.0160669i
$113$	−7.31966	+	1.02105i	−0.688575	+	0.0960522i	−0.473828	−	0.880617i	$-0.657128\pi$
$113$	−7.31966	+	1.02105i	−0.688575	+	0.0960522i	−0.214747	+	0.976670i	$0.568893\pi$
$114$	1.51857	+	10.8862i	0.142227	+	1.01959i
$115$	−12.6341	−	2.36172i	−1.17813	−	0.220231i
$116$	2.36631	+	1.96496i	0.219707	+	0.182442i
$117$	−1.56306	−	1.71459i	−0.144505	−	0.158514i
$118$	5.45481	+	7.22334i	0.502156	+	0.664962i
$119$	4.38865	+	4.09716i	0.402307	+	0.375586i
$120$	10.6208	−	14.0642i	0.969544	−	1.28388i
$121$	2.91055	−	0.269702i	0.264595	−	0.0245184i
$122$	6.75247	−	9.85740i	0.611340	−	0.892447i
$123$	0.534667	+	1.87916i	0.0482093	+	0.169438i
$124$	−4.48645	−	8.05472i	−0.402895	−	0.723335i
$125$	4.83122	+	3.30946i	0.432117	+	0.296007i
$126$	1.86431	+	1.27708i	0.166086	+	0.113771i
$127$	0.711031	+	3.80368i	0.0630938	+	0.337522i	0.999925	−	0.0122602i	$-0.00390263\pi$
$127$	0.711031	+	3.80368i	0.0630938	+	0.337522i	−0.936831	+	0.349782i	$0.886256\pi$
$128$	3.11907	+	5.03747i	0.275689	+	0.445254i
$129$	−0.229634	−	4.96691i	−0.0202182	−	0.437312i
$130$	1.40969	+	3.19265i	0.123638	+	0.280014i
$131$	−4.08547	+	4.08547i	−0.356949	+	0.356949i	−0.862687	−	0.505738i	$-0.831220\pi$
$131$	−4.08547	+	4.08547i	−0.356949	+	0.356949i	0.505738	+	0.862687i	$0.331220\pi$
$132$	−6.13394	−	3.79798i	−0.533891	−	0.330571i
$133$	−8.02495	−	1.11943i	−0.695851	−	0.0970671i
$134$			4.01089i			0.346488i
$135$	5.84603	−	5.32936i	0.503146	−	0.458679i
$136$	2.58821	+	11.6213i	0.221937	+	0.996514i
$137$	6.12851	+	5.58688i	0.523594	+	0.477319i	0.891803	−	0.452424i	$-0.149441\pi$
$137$	6.12851	+	5.58688i	0.523594	+	0.477319i	−0.368209	+	0.929743i	$0.620029\pi$
$138$	6.07821	−	6.66748i	0.517412	−	0.567574i
$139$	−5.67509	+	2.50580i	−0.481354	+	0.212539i	−0.630368	−	0.776296i	$-0.717096\pi$
$139$	−5.67509	+	2.50580i	−0.481354	+	0.212539i	0.149014	+	0.988835i	$0.452390\pi$
$140$	2.89039	+	3.82750i	0.244283	+	0.323483i
$141$	5.75005	+	0.802098i	0.484242	+	0.0675489i
$142$	6.14141	−	5.09976i	0.515376	−	0.427963i
$143$	3.38082	−	1.88311i	0.282719	−	0.157473i
$144$	0.177939	+	0.459313i	0.0148282	+	0.0382761i
$145$	2.67137	+	6.89559i	0.221845	+	0.572648i
$146$	−6.59349	+	3.67255i	−0.545681	+	0.303942i
$147$	8.14190	−	6.76095i	0.671533	−	0.557634i
$148$	−10.8797	−	1.51766i	−0.894310	−	0.124751i
$149$	9.84440	+	13.0361i	0.806485	+	1.06796i	0.996283	+	0.0861355i	$0.0274518\pi$
$149$	9.84440	+	13.0361i	0.806485	+	1.06796i	−0.189799	+	0.981823i	$0.560784\pi$
$150$	5.27480	−	2.32905i	0.430685	−	0.190166i
$151$	1.96316	−	2.15348i	0.159760	−	0.175248i	−0.653916	−	0.756567i	$-0.726875\pi$
$151$	1.96316	−	2.15348i	0.159760	−	0.175248i	0.813676	+	0.581319i	$0.197463\pi$
$152$	−11.8743	−	10.8248i	−0.963131	−	0.878010i
$153$	−0.241184	−	7.02110i	−0.0194986	−	0.567622i
$154$	−2.78549	+	2.53931i	−0.224461	+	0.204624i
$155$		−	22.1669i		−	1.78049i
$156$	3.42354	+	0.477563i	0.274102	+	0.0382356i
$157$	−3.36530	−	2.08370i	−0.268580	−	0.166298i	0.385534	−	0.922694i	$-0.374017\pi$
$157$	−3.36530	−	2.08370i	−0.268580	−	0.166298i	−0.654114	+	0.756396i	$0.726958\pi$
$158$	−6.51438	+	6.51438i	−0.518256	+	0.518256i
$159$	−5.71461	−	12.9424i	−0.453198	−	1.02640i
$160$	0.716353	+	15.4945i	0.0566327	+	1.22495i
$161$	3.50121	+	5.65466i	0.275934	+	0.445649i
$162$	1.87581	+	10.0347i	0.147378	+	0.788401i
$163$	−5.17925	−	3.54787i	−0.405670	−	0.277891i	0.344954	−	0.938619i	$-0.387894\pi$
$163$	−5.17925	−	3.54787i	−0.405670	−	0.277891i	−0.750625	+	0.660729i	$0.770247\pi$
$164$	−0.869861	−	0.595869i	−0.0679247	−	0.0465295i
$165$	−8.44042	−	15.1535i	−0.657086	−	1.17969i
$166$	0.309679	+	1.08841i	0.0240357	+	0.0844768i
$167$	−9.74118	+	14.2204i	−0.753795	+	1.10041i	0.237837	+	0.971305i	$0.423562\pi$
$167$	−9.74118	+	14.2204i	−0.753795	+	1.10041i	−0.991632	+	0.129100i	$0.958791\pi$
$168$	−9.08075	+	0.841455i	−0.700595	+	0.0649197i
$169$	6.71687	−	8.89457i	0.516682	−	0.684197i
$170$	−3.01234	+	10.1292i	−0.231036	+	0.776875i
$171$	5.71357	+	7.56599i	0.436928	+	0.578586i
$172$	1.80777	+	1.98303i	0.137841	+	0.151205i
$173$	−2.71383	−	2.25354i	−0.206329	−	0.171333i	0.529913	−	0.848052i	$-0.322225\pi$
$173$	−2.71383	−	2.25354i	−0.206329	−	0.171333i	−0.736241	+	0.676719i	$0.763401\pi$
$174$	−5.10255	−	0.953832i	−0.386823	−	0.0723098i
$175$	0.587243	+	4.20980i	0.0443914	+	0.318231i
$176$	−0.813722	+	0.113509i	−0.0613366	+	0.00855609i
$177$	19.7178	+	8.70627i	1.48208	+	0.654403i
$178$	−4.13156	−	4.53211i	−0.309674	−	0.339696i
$179$		−	16.4246i		−	1.22763i	−0.789449	−	0.613817i	$-0.789633\pi$
$179$		−	16.4246i		−	1.22763i	0.789449	−	0.613817i	$-0.210367\pi$
$180$	0.775355	−	5.55834i	0.0577916	−	0.414294i
$181$	7.55096	−	22.5290i	0.561258	−	1.67457i	−0.164303	−	0.986410i	$-0.552538\pi$
$181$	7.55096	−	22.5290i	0.561258	−	1.67457i	0.725562	−	0.688157i	$-0.241580\pi$
$182$	0.729455	−	1.65206i	0.0540708	−	0.122459i
$183$	2.62526	−	28.3311i	0.194065	−	2.09429i
$184$	−0.609107	+	13.1748i	−0.0449040	+	0.971258i
$185$	−21.0763	−	15.9161i	−1.54956	−	1.17017i
$186$	13.2295	+	8.19138i	0.970037	+	0.600621i
$187$	11.4920	+	2.28963i	0.840379	+	0.167434i
$188$	−2.66389	+	1.64941i	−0.194284	+	0.120296i
$189$	−4.07595	−	0.377693i	−0.296482	−	0.0274731i
$190$	−4.53224	−	13.5224i	−0.328803	−	0.981015i
$191$	−9.63803	+	1.80166i	−0.697383	+	0.130363i	−0.520491	−	0.853867i	$-0.674251\pi$
$191$	−9.63803	+	1.80166i	−0.697383	+	0.130363i	−0.176892	+	0.984230i	$0.556604\pi$
$192$	−10.6076	−	5.90838i	−0.765535	−	0.426400i
$193$	3.24788	−	23.2833i	0.233787	−	1.67597i	−0.411024	−	0.911624i	$-0.634829\pi$
$193$	3.24788	−	23.2833i	0.233787	−	1.67597i	0.644812	−	0.764341i	$-0.276936\pi$
$194$	−13.3181	+	11.0592i	−0.956182	+	0.794004i
$195$	6.63208	+	5.00832i	0.474933	+	0.358653i
$196$	−1.04946	+	5.61413i	−0.0749616	+	0.401009i
$197$	20.4383	−	6.85023i	1.45617	−	0.488058i	0.524513	−	0.851402i	$-0.324247\pi$
$197$	20.4383	−	6.85023i	1.45617	−	0.488058i	0.931655	+	0.363344i	$0.118365\pi$
$198$	4.40571	+	0.203688i	0.313100	+	0.0144755i
$199$	23.8503	−	5.60954i	1.69070	−	0.397650i	0.731830	−	0.681487i	$-0.238666\pi$
$199$	23.8503	−	5.60954i	1.69070	−	0.397650i	0.958872	+	0.283837i	$0.0916075\pi$
$200$	−3.75714	+	7.54535i	−0.265670	+	0.533537i
$201$	4.64758	+	8.34400i	0.327815	+	0.588540i
$202$	1.31678	+	7.04415i	0.0926483	+	0.495625i
$203$	1.70565	−	3.42541i	0.119713	−	0.240416i
$204$	6.95912	+	7.81808i	0.487236	+	0.547375i
$205$	−1.12994	−	2.26923i	−0.0789184	−	0.158490i
$206$	0.450729	−	0.340375i	0.0314038	−	0.0237150i
$207$	1.78174	−	7.57550i	0.123840	−	0.526534i
$208$	0.334688	−	0.207230i	0.0232064	−	0.0143688i
$209$	−14.4665	+	6.38760i	−1.00067	+	0.441840i
$210$	−7.40482	−	3.26955i	−0.510981	−	0.225620i
$211$	3.56151	+	15.1426i	0.245184	+	1.04246i	0.944724	+	0.327866i	$0.106330\pi$
$211$	3.56151	+	15.1426i	0.245184	+	1.04246i	−0.699540	+	0.714594i	$0.746612\pi$
$212$	6.83474	+	3.40330i	0.469412	+	0.233740i
$213$	6.86690	−	17.7255i	0.470512	−	1.21453i
$214$	3.02564	+	3.02564i	0.206829	+	0.206829i
$215$	1.47706	+	6.28009i	0.100735	+	0.428299i
$216$	−6.24499	−	5.18577i	−0.424917	−	0.352847i
$217$	−8.47674	+	7.72757i	−0.575438	+	0.524581i
$218$	−10.3191	−	5.74769i	−0.698896	−	0.389282i
$219$	−9.46114	+	15.2803i	−0.639325	+	1.03254i
$220$	8.72878	+	3.38155i	0.588494	+	0.227984i
$221$	−5.48008	+	1.22049i	−0.368630	+	0.0820989i
$222$	17.2873	−	6.69714i	1.16025	−	0.449483i
$223$	−1.38455	+	7.40671i	−0.0927166	+	0.495990i	0.904817	+	0.425800i	$0.140007\pi$
$223$	−1.38455	+	7.40671i	−0.0927166	+	0.495990i	−0.997534	+	0.0701894i	$0.977640\pi$
$224$	5.67544	−	5.67544i	0.379207	−	0.379207i
$225$	2.99728	−	3.96904i	0.199819	−	0.264603i
$226$	−1.54112	+	6.55242i	−0.102513	+	0.435861i
$227$	−9.60274	+	11.5641i	−0.637356	+	0.767539i	−0.985458	−	0.169918i	$-0.945650\pi$
$227$	−9.60274	+	11.5641i	−0.637356	+	0.767539i	0.348102	+	0.937457i	$0.386826\pi$
$228$	−13.7503	−	3.23403i	−0.910633	−	0.214179i
$229$	−10.3350	−	2.94055i	−0.682954	−	0.194317i	−0.0856420	−	0.996326i	$-0.527294\pi$
$229$	−10.3350	−	2.94055i	−0.682954	−	0.194317i	−0.597312	+	0.802009i	$0.703765\pi$
$230$	−6.16258	+	9.95291i	−0.406348	+	0.656275i
$231$	−2.85236	+	8.51028i	−0.187671	+	0.559936i
$232$	6.62925	−	3.69247i	0.435231	−	0.242422i
$233$	0.179678	−	3.88637i	0.0117711	−	0.254605i	−0.984903	−	0.173109i	$-0.944619\pi$
$233$	0.179678	−	3.88637i	0.0117711	−	0.254605i	0.996674	−	0.0814954i	$-0.0259696\pi$
$234$	−1.97045	+	0.763356i	−0.128812	+	0.0499021i
$235$	−7.52490	+	0.347897i	−0.490871	+	0.0226943i
$236$	−11.1882	+	3.18333i	−0.728292	+	0.207217i
$237$	−6.00363	+	21.1006i	−0.389977	+	1.37063i
$238$	4.92359	−	2.37920i	0.319149	−	0.154220i
$239$	−7.17025	−	25.2008i	−0.463805	−	1.63011i	−0.742586	−	0.669751i	$-0.766401\pi$
$239$	−7.17025	−	25.2008i	−0.463805	−	1.63011i	0.278781	−	0.960355i	$-0.410070\pi$
$240$	−0.928842	−	1.50013i	−0.0599565	−	0.0968331i
$241$	−12.4242	+	2.92214i	−0.800310	+	0.188231i	−0.608867	−	0.793272i	$-0.708376\pi$
$241$	−12.4242	+	2.92214i	−0.800310	+	0.188231i	−0.191443	+	0.981504i	$0.561317\pi$
$242$	0.728560	−	2.56062i	0.0468336	−	0.164603i
$243$	10.1423	+	12.2140i	0.650632	+	0.783526i
$244$	8.67766	+	12.6678i	0.555530	+	0.810974i
$245$	−8.77235	+	10.5641i	−0.560445	+	0.674918i
$246$	1.77186	+	0.164187i	0.112970	+	0.0104682i
$247$	5.10452	−	5.59939i	0.324793	−	0.356281i
$248$	−22.5281	+	3.14254i	−1.43054	+	0.199551i
$249$	1.90542	+	1.90542i	0.120751	+	0.120751i
$250$	4.40022	−	3.01422i	0.278294	−	0.190636i
$251$	20.3329			1.28340			0.641700	−	0.766956i	$-0.278230\pi$
$251$	20.3329			1.28340			0.641700	+	0.766956i	$0.278230\pi$
$252$	−2.39583	+	1.64118i	−0.150923	+	0.103385i
$253$	11.6197	+	5.78590i	0.730521	+	0.363756i
$254$	3.46435	+	0.647600i	0.217373	+	0.0406340i
$255$	5.47045	+	24.5627i	0.342573	+	1.53817i
$256$	16.3106	−	3.04899i	1.01941	−	0.190562i
$257$	7.35758	+	2.09341i	0.458954	+	0.130584i	0.495237	−	0.868758i	$-0.335081\pi$
$257$	7.35758	+	2.09341i	0.458954	+	0.130584i	−0.0362833	+	0.999342i	$0.511552\pi$
$258$	−4.29388	−	1.43916i	−0.267325	−	0.0895984i
$259$	1.26098	+	13.6082i	0.0783536	+	0.845570i
$260$	−4.48027	+	0.207135i	−0.277854	+	0.0128460i
$261$	−4.24540	+	1.42291i	−0.262784	+	0.0880762i
$262$	2.12555	+	4.81391i	0.131317	+	0.297404i
$263$	11.1482	−	1.03303i	0.687425	−	0.0636993i	0.257115	−	0.966381i	$-0.417228\pi$
$263$	11.1482	−	1.03303i	0.687425	−	0.0636993i	0.430310	+	0.902681i	$0.358404\pi$
$264$	−14.2038	+	10.7262i	−0.874185	+	0.660154i
$265$	10.3741	+	15.1444i	0.637277	+	0.930310i
$266$	−3.59105	+	6.44716i	−0.220181	+	0.395301i
$267$	−13.8466	−	4.64090i	−0.847397	−	0.284019i
$268$	−4.80636	−	1.86199i	−0.293595	−	0.113739i
$269$	11.2659	−	25.5148i	0.686893	−	1.55566i	−0.138035	−	0.990427i	$-0.544079\pi$
$269$	11.2659	−	25.5148i	0.686893	−	1.55566i	0.824928	−	0.565237i	$-0.191215\pi$
$270$	−2.60272	−	6.71839i	−0.158396	−	0.408868i
$271$	0.216900	−	2.34073i	0.0131758	−	0.142189i	−0.986605	−	0.163127i	$-0.947842\pi$
$271$	0.216900	−	2.34073i	0.0131758	−	0.142189i	0.999781	+	0.0209383i	$0.00666537\pi$
$272$	1.17849	+	0.178668i	0.0714565	+	0.0108333i
$273$	−0.396794	−	4.28209i	−0.0240150	−	0.259164i
$274$	6.76123	−	3.36669i	0.408461	−	0.203389i
$275$	5.29978	+	6.38229i	0.319589	+	0.384866i
$276$	5.16811	+	10.3790i	0.311084	+	0.624740i
$277$	2.27872	−	3.32652i	0.136915	−	0.199871i	−0.750465	−	0.660911i	$-0.770170\pi$
$277$	2.27872	−	3.32652i	0.136915	−	0.199871i	0.887380	+	0.461039i	$0.152523\pi$
$278$	0.260948	+	5.64421i	0.0156506	+	0.338517i
$279$	13.4073	+	0.619858i	0.802676	+	0.0371099i
$280$	11.3811	−	3.23819i	0.680148	−	0.193519i
$281$	25.1205	−	12.5085i	1.49856	−	0.746195i	0.505393	−	0.862889i	$-0.331348\pi$
$281$	25.1205	−	12.5085i	1.49856	−	0.746195i	0.993168	+	0.116695i	$0.0372300\pi$
$282$	2.57306	−	4.61954i	0.153224	−	0.275089i
$283$	12.1773	+	2.86408i	0.723867	+	0.170252i	0.574470	−	0.818525i	$-0.305208\pi$
$283$	12.1773	+	2.86408i	0.723867	+	0.170252i	0.149397	+	0.988777i	$0.452267\pi$
$284$	3.26013	+	9.72691i	0.193453	+	0.577186i
$285$	−25.0975	−	22.8794i	−1.48665	−	1.35526i
$286$	−0.486954	−	3.49086i	−0.0287942	−	0.206419i
$287$	−0.473857	+	1.22317i	−0.0279709	+	0.0722012i
$288$	−9.39164			−0.553408
$289$	−15.0337	−	7.93642i	−0.884338	−	0.466848i
$290$	6.73525			0.395507
$291$	−14.8914	+	38.4390i	−0.872947	+	2.25334i
$292$	−1.33999	−	9.60608i	−0.0784170	−	0.562153i
$293$	−15.0042	−	13.6781i	−0.876552	−	0.799083i	0.104156	−	0.994561i	$-0.466786\pi$
$293$	−15.0042	−	13.6781i	−0.876552	−	0.799083i	−0.980708	+	0.195478i	$0.937374\pi$
$294$	−3.06317	−	9.13926i	−0.178648	−	0.533012i
$295$	−27.2240	−	6.40302i	−1.58504	−	0.372798i
$296$	−13.1875	+	23.6761i	−0.766508	+	1.37615i
$297$	−7.15159	+	3.56107i	−0.414977	+	0.206634i
$298$	14.3103	−	4.07164i	0.828975	−	0.235864i
$299$	−6.21265	−	0.287228i	−0.359287	−	0.0166108i
$300$	0.342222	+	7.40216i	0.0197582	+	0.427364i
$301$	1.88662	−	2.75413i	0.108743	−	0.158746i
$302$	−1.18301	−	2.37581i	−0.0680747	−	0.136713i
$303$	10.9017	+	13.1284i	0.626285	+	0.754207i
$304$	−1.43998	+	0.717023i	−0.0825883	+	0.0411241i
$305$	3.40628	+	36.7596i	0.195043	+	2.10485i
$306$	−6.04227	−	2.10521i	−0.345414	−	0.120347i
$307$	−2.03346	+	21.9446i	−0.116056	+	1.25244i	0.716138	+	0.697958i	$0.245908\pi$
$307$	−2.03346	+	21.9446i	−0.116056	+	1.25244i	−0.832194	+	0.554484i	$0.812916\pi$
$308$	−1.74981	−	4.51677i	−0.0997044	−	0.257367i
$309$	0.543262	−	1.23037i	0.0309051	−	0.0699934i
$310$	−18.8260	−	7.29324i	−1.06925	−	0.414228i
$311$	6.99480	+	2.34442i	0.396639	+	0.132940i	0.509081	−	0.860718i	$-0.329985\pi$
$311$	6.99480	+	2.34442i	0.396639	+	0.132940i	−0.112443	+	0.993658i	$0.535868\pi$
$312$	4.14972	−	7.45017i	0.234932	−	0.421783i
$313$	−10.5936	−	15.4648i	−0.598788	−	0.874123i	0.400318	−	0.916376i	$-0.368900\pi$
$313$	−10.5936	−	15.4648i	−0.598788	−	0.874123i	−0.999107	+	0.0422526i	$0.986547\pi$
$314$	−2.87689	+	2.17253i	−0.162352	+	0.122603i
$315$	−6.95226	+	0.644221i	−0.391715	+	0.0362978i
$316$	−4.78216	−	10.8306i	−0.269017	−	0.609266i
$317$	15.1211	−	5.06807i	0.849283	−	0.284651i	0.140503	−	0.990080i	$-0.455128\pi$
$317$	15.1211	−	5.06807i	0.849283	−	0.284651i	0.708780	+	0.705429i	$0.249246\pi$
$318$	−12.8720	+	0.595106i	−0.721823	+	0.0333719i
$319$	−0.689092	−	7.43649i	−0.0385817	−	0.416363i
$320$	14.9376	+	5.00659i	0.835039	+	0.279877i
$321$	9.80029	+	2.78842i	0.546999	+	0.155635i
$322$	5.95437	−	1.11306i	0.331824	−	0.0620287i
$323$	22.7585	−	2.89990i	1.26632	−	0.161355i
$324$	−12.8957	−	2.41062i	−0.716427	−	0.133923i
$325$	−3.55806	−	1.77170i	−0.197366	−	0.0982764i
$326$	−4.71721	+	3.23136i	−0.261262	+	0.178969i
$327$	−28.1272			−1.55544
$328$	−2.14602	+	1.47006i	−0.118494	+	0.0811702i
$329$	2.75628	+	2.75628i	0.151959	+	0.151959i
$330$	−15.6466	+	2.18261i	−0.861319	+	0.120149i
$331$	8.28939	−	9.09303i	0.455626	−	0.499798i	−0.467661	−	0.883908i	$-0.654903\pi$
$331$	8.28939	−	9.09303i	0.455626	−	0.499798i	0.923288	+	0.384110i	$0.125491\pi$
$332$	−1.44803	−	0.134180i	−0.0794711	−	0.00736408i
$333$	10.2160	−	12.3026i	0.559831	−	0.674179i
$334$	8.87216	+	12.9518i	0.485463	+	0.708689i
$335$	−7.91690	−	9.53396i	−0.432546	−	0.520896i
$336$	−0.249856	+	0.878153i	−0.0136308	+	0.0479072i
$337$	13.9950	−	3.29159i	0.762356	−	0.179304i	0.170510	−	0.985356i	$-0.445458\pi$
$337$	13.9950	−	3.29159i	0.762356	−	0.179304i	0.591845	+	0.806052i	$0.298400\pi$
$338$	−5.34408	−	8.63099i	−0.290680	−	0.469464i
$339$	4.38651	+	15.4170i	0.238243	+	0.837336i
$340$	−10.7397	−	8.31209i	−0.582441	−	0.450787i
$341$	−6.12646	+	21.5323i	−0.331766	+	1.16604i
$342$	8.30554	−	2.36313i	0.449112	−	0.127783i
$343$	17.2802	−	0.798910i	0.933041	−	0.0431371i
$344$	6.17303	−	2.39145i	0.332828	−	0.128938i
$345$	−1.28741	+	27.8462i	−0.0693117	+	1.49919i
$346$	−2.80679	+	1.56337i	−0.150894	+	0.0840474i
$347$	−8.14563	+	24.3032i	−0.437280	+	1.30467i	0.469451	+	0.882958i	$0.344452\pi$
$347$	−8.14563	+	24.3032i	−0.437280	+	1.30467i	−0.906732	+	0.421708i	$0.861431\pi$
$348$	3.51178	−	5.67172i	0.188251	−	0.304036i
$349$	16.0230	+	4.55893i	0.857690	+	0.244034i	0.673801	−	0.738913i	$-0.264661\pi$
$349$	16.0230	+	4.55893i	0.857690	+	0.244034i	0.183889	+	0.982947i	$0.441131\pi$
$350$	3.76854	+	0.886352i	0.201437	+	0.0473775i
$351$	2.44538	−	2.94486i	0.130525	−	0.157185i
$352$	3.58650	−	15.2489i	0.191161	−	0.812768i
$353$	−11.9913	+	15.8790i	−0.638232	+	0.845156i	−0.996065	−	0.0886296i	$-0.971751\pi$
$353$	−11.9913	+	15.8790i	−0.638232	+	0.845156i	0.357832	+	0.933786i	$0.383516\pi$
$354$	13.8816	−	13.8816i	0.737797	−	0.737797i
$355$	−4.53207	+	24.2445i	−0.240538	+	1.28676i
$356$	7.34897	−	2.84700i	0.389494	−	0.150891i
$357$	7.48585	−	10.6547i	0.396193	−	0.563906i
$358$	−13.9492	−	5.40395i	−0.737238	−	0.285607i
$359$	12.5018	−	20.1911i	0.659819	−	1.06564i	−0.332639	−	0.943054i	$-0.607939\pi$
$359$	12.5018	−	20.1911i	0.659819	−	1.06564i	0.992457	−	0.122589i	$-0.0391198\pi$
$360$	−12.0959	−	6.73735i	−0.637508	−	0.355090i
$361$	−8.84029	+	8.05899i	−0.465279	+	0.424157i
$362$	−16.6492	−	13.8253i	−0.875061	−	0.726642i
$363$	−1.45145	−	6.17117i	−0.0761812	−	0.323902i
$364$	1.64107	+	1.64107i	0.0860154	+	0.0860154i
$365$	8.42378	−	21.7443i	0.440921	−	1.13815i
$366$	−23.1974	−	11.5509i	−1.21255	−	0.603777i
$367$	4.68895	+	19.9362i	0.244761	+	1.04066i	0.945082	+	0.326833i	$0.105982\pi$
$367$	4.68895	+	19.9362i	0.244761	+	1.04066i	−0.700321	+	0.713828i	$0.746960\pi$
$368$	1.20789	+	0.533334i	0.0629654	+	0.0278019i
$369$	1.40411	−	0.619973i	0.0730948	−	0.0322745i
$370$	−20.4517	+	12.6632i	−1.06323	+	0.658326i
$371$	2.17477	−	9.24657i	0.112909	−	0.480058i
$372$	−15.9576	+	12.0506i	−0.827361	+	0.624794i
$373$	1.88884	+	3.79331i	0.0978007	+	0.196410i	0.938660	−	0.344843i	$-0.112068\pi$
$373$	1.88884	+	3.79331i	0.0978007	+	0.196410i	−0.840860	+	0.541253i	$0.817950\pi$
$374$	5.72560	−	9.00668i	0.296064	−	0.465724i
$375$	5.66124	−	11.3693i	0.292345	−	0.587108i
$376$	1.42035	+	7.59821i	0.0732490	+	0.391848i
$377$	1.74121	+	3.12606i	0.0896767	+	0.161001i
$378$	−1.66182	+	3.33738i	−0.0854748	+	0.171656i
$379$	18.2489	−	4.29209i	0.937381	−	0.220470i	0.268025	−	0.963412i	$-0.413629\pi$
$379$	18.2489	−	4.29209i	0.937381	−	0.220470i	0.669356	+	0.742942i	$0.266570\pi$
$380$	18.3082	+	0.846441i	0.939193	+	0.0434215i
$381$	7.95742	−	2.66706i	0.407671	−	0.136637i
$382$	−1.64093	+	8.77821i	−0.0839574	+	0.449132i
$383$	−18.1277	−	13.6894i	−0.926282	−	0.699496i	0.0276185	−	0.999619i	$-0.491208\pi$
$383$	−18.1277	−	13.6894i	−0.926282	−	0.699496i	−0.953901	+	0.300123i	$0.902972\pi$
$384$	9.88611	−	8.20932i	0.504498	−	0.418930i
$385$	1.60894	−	11.5341i	0.0819994	−	0.587834i
$386$	−18.7055	−	10.4189i	−0.952087	−	0.530309i
$387$	−3.83973	+	0.717770i	−0.195184	+	0.0364863i
$388$	−7.06982	−	21.0935i	−0.358916	−	1.07086i
$389$	−4.87756	−	0.451973i	−0.247302	−	0.0229159i	−0.0320969	−	0.999485i	$-0.510219\pi$
$389$	−4.87756	−	0.451973i	−0.247302	−	0.0229159i	−0.215205	+	0.976569i	$0.569042\pi$
$390$	6.43555	−	3.98472i	0.325877	−	0.201774i
$391$	−13.7654	−	12.8511i	−0.696145	−	0.649906i
$392$	11.9799	+	7.41765i	0.605077	+	0.374648i
$393$	9.99993	+	7.55159i	0.504430	+	0.380927i
$394$	0.906708	−	19.6118i	0.0456793	−	0.988028i
$395$	2.62638	−	28.3432i	0.132148	−	1.42610i
$396$	−2.28937	+	5.18492i	−0.115045	+	0.260552i
$397$	−8.19087	+	24.4382i	−0.411088	+	1.22652i	0.517588	+	0.855630i	$0.326830\pi$
$397$	−8.19087	+	24.4382i	−0.411088	+	1.22652i	−0.928677	+	0.370891i	$0.879052\pi$
$398$	3.08301	−	22.1013i	0.154537	−	1.10784i
$399$			17.5734i			0.879768i
$400$	0.568508	+	0.623624i	0.0284254	+	0.0311812i
$401$	−20.2238	−	8.92969i	−1.00993	−	0.445928i	−0.168157	−	0.985760i	$-0.553782\pi$
$401$	−20.2238	−	8.92969i	−1.00993	−	0.445928i	−0.841772	+	0.539832i	$0.818488\pi$
$402$	8.61556	−	1.20182i	0.429705	−	0.0599413i
$403$	−1.48188	−	10.6233i	−0.0738179	−	0.529183i
$404$	−9.05249	−	1.69220i	−0.450378	−	0.0841903i
$405$	−24.2659	−	20.1501i	−1.20578	−	1.00127i
$406$	−2.34796	−	2.57559i	−0.116528	−	0.127825i
$407$	16.0740	+	21.2854i	0.796760	+	1.05508i
$408$	24.1874	−	9.04177i	1.19746	−	0.447635i
$409$	−2.17895	+	2.88540i	−0.107742	+	0.142674i	−0.848693	−	0.528885i	$-0.822610\pi$
$409$	−2.17895	+	2.88540i	−0.107742	+	0.142674i	0.740951	+	0.671559i	$0.234375\pi$
$410$	−2.29899	+	0.213033i	−0.113539	+	0.0105209i
$411$	10.1645	−	14.8383i	0.501378	−	0.731922i
$412$	0.198636	+	0.698135i	0.00978612	+	0.0343946i
$413$	7.04196	+	12.6427i	0.346512	+	0.622109i
$414$	−5.84755	−	4.00566i	−0.287391	−	0.196868i
$415$	−2.88447	−	1.97591i	−0.141593	−	0.0969934i
$416$	1.37913	+	7.37770i	0.0676175	+	0.361721i
$417$	7.08303	+	11.4395i	0.346858	+	0.560194i
$418$	0.665190	+	14.3879i	0.0325355	+	0.703733i
$419$	−16.2093	−	36.7106i	−0.791878	−	1.79343i	−0.576905	−	0.816812i	$-0.695740\pi$
$419$	−16.2093	−	36.7106i	−0.791878	−	1.79343i	−0.214973	−	0.976620i	$-0.568966\pi$
$420$	7.35556	−	7.35556i	0.358915	−	0.358915i
$421$	25.9664	+	16.0777i	1.26552	+	0.783579i	0.984375	−	0.176086i	$-0.0563436\pi$
$421$	25.9664	+	16.0777i	1.26552	+	0.783579i	0.281148	+	0.959664i	$0.409285\pi$
$422$	14.0322	+	1.95741i	0.683076	+	0.0952851i
$423$		−	4.56106i		−	0.221766i
$424$	13.9204	−	12.6902i	0.676036	−	0.616288i
$425$	−4.73042	−	11.0668i	−0.229459	−	0.536819i
$426$	−12.7947	−	11.6639i	−0.619906	−	0.565119i
$427$	12.8696	−	14.1173i	0.622804	−	0.683183i
$428$	−5.03032	+	2.22110i	−0.243150	+	0.107361i
$429$	−5.05802	−	6.69790i	−0.244204	−	0.323378i
$430$	5.81957	+	0.811796i	0.280645	+	0.0391483i
$431$	−3.01555	+	2.50408i	−0.145254	+	0.120617i	−0.708621	−	0.705590i	$-0.750682\pi$
$431$	−3.01555	+	2.50408i	−0.145254	+	0.120617i	0.563367	+	0.826207i	$0.309506\pi$
$432$	−0.709963	+	0.395447i	−0.0341581	+	0.0190259i
$433$	−5.04212	−	13.0152i	−0.242309	−	0.625471i	0.757311	−	0.653055i	$-0.226513\pi$
$433$	−5.04212	−	13.0152i	−0.242309	−	0.625471i	−0.999619	+	0.0275838i	$0.991219\pi$
$434$	3.77394	+	9.74166i	0.181155	+	0.467615i
$435$	14.0116	−	7.80440i	0.671804	−	0.374192i
$436$	11.6781	−	9.69736i	0.559279	−	0.464419i
$437$	25.1709	+	3.51119i	1.20409	+	0.167963i
$438$	9.86446	+	13.0627i	0.471342	+	0.624158i
$439$	−16.9162	+	7.46922i	−0.807365	+	0.356486i	−0.766148	−	0.642664i	$-0.777829\pi$
$439$	−16.9162	+	7.46922i	−0.807365	+	0.356486i	−0.0412165	+	0.999150i	$0.513123\pi$
$440$	15.5584	−	17.0667i	0.741717	−	0.813625i
$441$	−6.14426	−	5.60124i	−0.292584	−	0.266725i
$442$	−0.766484	+	5.05571i	−0.0364579	+	0.240476i
$443$	−19.0562	+	17.3720i	−0.905388	+	0.825370i	−0.985195	−	0.171440i	$-0.945158\pi$
$443$	−19.0562	+	17.3720i	−0.905388	+	0.825370i	0.0798063	+	0.996810i	$0.474570\pi$
$444$			23.8249i			1.13068i
$445$	18.7665	+	2.61782i	0.889618	+	0.124096i
$446$	5.83487	+	3.61280i	0.276289	+	0.171071i
$447$	25.0523	−	25.0523i	1.18493	−	1.18493i
$448$	−3.29284	−	7.45757i	−0.155572	−	0.352337i
$449$	−0.977586	−	21.1449i	−0.0461352	−	0.997888i	−0.888470	−	0.458934i	$-0.848231\pi$
$449$	−0.977586	−	21.1449i	−0.0461352	−	0.997888i	0.842335	−	0.538954i	$-0.181180\pi$
$450$	−2.38470	−	3.85142i	−0.112416	−	0.181558i
$451$	0.470425	+	2.51655i	0.0221515	+	0.118500i
$452$	−7.13651	−	4.88862i	−0.335673	−	0.229941i
$453$	−5.21401	−	3.57168i	−0.244976	−	0.167812i
$454$	6.66182	+	11.9602i	0.312654	+	0.561322i
$455$	1.52699	+	5.36681i	0.0715864	+	0.251600i
$456$	−19.6942	+	28.7500i	−0.922266	+	1.34634i
$457$	12.5117	−	1.15938i	0.585274	−	0.0542336i	0.204443	−	0.978878i	$-0.434462\pi$
$457$	12.5117	−	1.15938i	0.585274	−	0.0542336i	0.380831	+	0.924645i	$0.375638\pi$
$458$	−5.89773	+	7.80986i	−0.275583	+	0.364931i
$459$	11.4176	−	1.99445i	0.532926	−	0.0930928i
$460$	−9.06596	−	12.0053i	−0.422702	−	0.559749i
$461$	10.1459	+	11.1295i	0.472540	+	0.518352i	0.928341	−	0.371730i	$-0.121235\pi$
$461$	10.1459	+	11.1295i	0.472540	+	0.518352i	−0.455801	+	0.890082i	$0.650647\pi$
$462$	6.28919	+	5.22248i	0.292600	+	0.242972i
$463$	−19.5360	−	3.65191i	−0.907916	−	0.169719i	−0.290977	−	0.956730i	$-0.593980\pi$
$463$	−19.5360	−	3.65191i	−0.907916	−	0.169719i	−0.616939	+	0.787011i	$0.711627\pi$
$464$	−0.104956	−	0.752404i	−0.00487245	−	0.0349295i
$465$	−47.6154	+	6.64207i	−2.20811	+	0.308019i
$466$	−3.24152	−	1.43127i	−0.150161	−	0.0663024i
$467$	21.2420	+	23.3014i	0.982963	+	1.07826i	0.996925	+	0.0783565i	$0.0249672\pi$
$467$	21.2420	+	23.3014i	0.982963	+	1.07826i	−0.0139625	+	0.999903i	$0.504445\pi$
$468$		−	2.71562i		−	0.125529i
$469$	−0.885938	+	6.35108i	−0.0409088	+	0.293266i
$470$	−2.18034	+	6.50526i	−0.100572	+	0.300065i
$471$	−3.46751	+	7.85316i	−0.159774	+	0.361854i
$472$	−2.64790	+	28.5754i	−0.121879	+	1.31529i
$473$	0.300908	−	6.50853i	0.0138357	−	0.299263i
$474$	15.9451	+	12.0412i	0.732384	+	0.553070i
$475$	13.8097	+	8.55059i	0.633632	+	0.392328i
$476$	0.565355	+	7.00458i	0.0259130	+	0.321054i
$477$	−9.44994	+	5.85116i	−0.432683	+	0.267906i
$478$	−23.7618	−	2.20186i	−1.08684	−	0.100711i
$479$	0.753530	+	2.24823i	0.0344297	+	0.102724i	0.963983	−	0.265963i	$-0.0856898\pi$
$479$	0.753530	+	2.24823i	0.0344297	+	0.102724i	−0.929554	+	0.368687i	$0.879807\pi$
$480$	33.0682	−	6.18151i	1.50935	−	0.282146i
$481$	−11.1646	−	6.21865i	−0.509063	−	0.283546i
$482$	−1.60601	+	11.5131i	−0.0731516	+	0.524407i
$483$	11.0973	−	9.21511i	0.504946	−	0.419302i
$484$	2.73024	+	2.06178i	0.124102	+	0.0937175i
$485$	9.82812	−	52.5758i	0.446272	−	2.38734i
$486$	13.7101	−	4.59517i	0.621904	−	0.208441i
$487$	−6.84959	−	0.316676i	−0.310385	−	0.0143499i	−0.109570	−	0.993979i	$-0.534947\pi$
$487$	−6.84959	−	0.316676i	−0.310385	−	0.0143499i	−0.200815	+	0.979629i	$0.564359\pi$
$488$	36.8757	−	8.67309i	1.66929	−	0.392612i
$489$	−6.06907	+	12.1883i	−0.274453	+	0.551175i
$490$	6.08574	+	10.9260i	0.274926	+	0.493586i
$491$	−4.99550	−	26.7235i	−0.225444	−	1.20602i	−0.889006	−	0.457896i	$-0.848603\pi$
$491$	−4.99550	−	26.7235i	−0.225444	−	1.20602i	0.663562	−	0.748121i	$-0.269044\pi$
$492$	−1.01931	+	2.04704i	−0.0459539	+	0.0922879i
$493$	−2.11710	+	10.6260i	−0.0953493	+	0.478573i
$494$	−3.07602	−	6.17748i	−0.138397	−	0.277938i
$495$	−10.8745	+	8.21204i	−0.488772	+	0.369104i
$496$	−0.521371	+	2.21673i	−0.0234102	+	0.0995343i
$497$	10.8511	−	6.71874i	0.486740	−	0.301376i
$498$	2.24515	−	0.991332i	0.100608	−	0.0444227i
$499$	25.1336	+	11.0976i	1.12513	+	0.496796i	0.881081	−	0.472966i	$-0.156817\pi$
$499$	25.1336	+	11.0976i	1.12513	+	0.496796i	0.244054	+	0.969762i	$0.421523\pi$
$500$	1.56929	+	6.67221i	0.0701808	+	0.298390i
$501$	33.4648	+	16.6635i	1.49510	+	0.744470i
$502$	6.68982	−	17.2684i	0.298581	−	0.770727i
$503$	−2.78892	−	2.78892i	−0.124352	−	0.124352i	0.642192	−	0.766544i	$-0.278025\pi$
$503$	−2.78892	−	2.78892i	−0.124352	−	0.124352i	−0.766544	+	0.642192i	$0.778025\pi$
$504$	1.64032	+	6.97422i	0.0730657	+	0.310656i
$505$	−17.0341	−	14.1449i	−0.758008	−	0.629442i
$506$	8.73693	−	7.96476i	0.388404	−	0.354077i
$507$	−21.1185	−	11.7630i	−0.937908	−	0.522411i
$508$	−2.38431	+	3.85079i	−0.105787	+	0.170851i
$509$	−13.2080	−	5.11680i	−0.585433	−	0.226798i	0.0502648	−	0.998736i	$-0.483993\pi$
$509$	−13.2080	−	5.11680i	−0.585433	−	0.226798i	−0.635698	+	0.771938i	$0.719288\pi$
$510$	22.6606	+	3.43552i	1.00343	+	0.152127i
$511$	−11.2517	+	4.35894i	−0.497747	+	0.192828i
$512$	0.599582	−	3.20748i	0.0264980	−	0.141752i
$513$	−11.0606	+	11.0606i	−0.488337	+	0.488337i
$514$	4.19866	−	5.55993i	0.185195	−	0.245238i
$515$	−0.399542	+	1.69875i	−0.0176059	+	0.0748558i
$516$	3.71796	−	4.47736i	0.163674	−	0.197105i
$517$	7.40563	+	1.74179i	0.325699	+	0.0766037i
$518$	11.9721	+	3.40636i	0.526024	+	0.149667i
$519$	−4.02752	+	6.50468i	−0.176789	+	0.285524i
$520$	−3.51636	+	10.4914i	−0.154202	+	0.460077i
$521$	−17.2371	+	9.60102i	−0.755173	+	0.420629i	−0.816394	−	0.577496i	$-0.804030\pi$
$521$	−17.2371	+	9.60102i	−0.755173	+	0.420629i	0.0612208	+	0.998124i	$0.480501\pi$
$522$	−0.188339	+	4.07372i	−0.00824339	+	0.178302i
$523$	10.3717	−	4.01801i	0.453521	−	0.175695i	−0.123637	−	0.992328i	$-0.539456\pi$
$523$	10.3717	−	4.01801i	0.453521	−	0.175695i	0.577158	+	0.816632i	$0.304162\pi$
$524$	−6.75539	+	0.312321i	−0.295111	+	0.0136438i
$525$	8.86688	−	2.52284i	0.386982	−	0.110106i
$526$	2.79058	−	9.80786i	0.121675	−	0.427643i
$527$	17.4240	−	27.4089i	0.759000	−	1.19395i
$528$	0.487646	+	1.71390i	0.0212221	+	0.0745878i
$529$	1.12610	+	1.81871i	0.0489607	+	0.0790742i
$530$	16.2751	−	3.82788i	0.706946	−	0.166272i
$531$	4.63405	−	16.2870i	0.201101	−	0.706795i
$532$	−6.05872	−	7.29624i	−0.262679	−	0.316332i
$533$	−0.693214	−	1.01197i	−0.0300264	−	0.0438332i
$534$	−8.49719	+	10.2328i	−0.367709	+	0.442815i
$535$	−13.1642	−	1.21984i	−0.569137	−	0.0527383i
$536$	−8.56697	+	9.39752i	−0.370037	+	0.405911i
$537$	−35.2808	+	4.92146i	−1.52248	+	0.212377i
$538$	−17.9627	−	17.9627i	−0.774427	−	0.774427i
$539$	11.4409	−	7.83720i	0.492795	−	0.337572i
$540$	9.25911			0.398449
$541$	−36.0256	+	24.6781i	−1.54886	+	1.06099i	−0.579617	+	0.814889i	$0.696798\pi$
$541$	−36.0256	+	24.6781i	−1.54886	+	1.06099i	−0.969243	+	0.246105i	$0.920849\pi$
$542$	−1.91658	−	0.954345i	−0.0823243	−	0.0409926i
$543$	−50.6558	−	9.46921i	−2.17385	−	0.406363i
$544$	−11.2935	+	19.7217i	−0.484203	+	0.845559i
$545$	35.8737	−	6.70596i	1.53666	−	0.287252i
$546$	−3.76727	−	1.07188i	−0.161224	−	0.0458722i
$547$	36.6128	+	12.2714i	1.56545	+	0.524687i	0.962079	−	0.272772i	$-0.0879405\pi$
$547$	36.6128	+	12.2714i	1.56545	+	0.524687i	0.603373	+	0.797459i	$0.293823\pi$
$548$	0.895603	+	9.66510i	0.0382583	+	0.412872i
$549$	−22.3288	+	1.03232i	−0.952969	+	0.0440584i
$550$	7.16409	−	2.40116i	0.305478	−	0.102386i
$551$	−5.90627	−	13.3764i	−0.251616	−	0.569855i
$552$	28.4825	−	2.63929i	1.21230	−	0.112336i
$553$	−11.7542	+	8.87634i	−0.499838	+	0.377460i
$554$	−2.07544	−	3.02976i	−0.0881768	−	0.128722i
$555$	−27.8731	+	50.0418i	−1.18315	+	2.12416i
$556$	−6.88476	−	2.30754i	−0.291979	−	0.0978614i
$557$	−22.9803	−	8.90260i	−0.973705	−	0.377215i	−0.178757	−	0.983893i	$-0.557208\pi$
$557$	−22.9803	−	8.90260i	−0.973705	−	0.377215i	−0.794948	+	0.606678i	$0.792502\pi$
$558$	4.93765	−	11.1827i	0.209027	−	0.473402i
$559$	1.12770	+	2.91093i	0.0476967	+	0.123119i
$560$	0.109304	−	1.17957i	0.00461892	−	0.0498461i
$561$	1.47477	−	25.3714i	0.0622649	−	1.07118i
$562$	−2.35828	−	25.4499i	−0.0994782	−	1.07354i
$563$	27.7309	−	13.8083i	1.16872	−	0.581952i	0.246696	−	0.969093i	$-0.420655\pi$
$563$	27.7309	−	13.8083i	1.16872	−	0.581952i	0.922020	+	0.387141i	$0.126537\pi$
$564$	4.34121	+	5.22792i	0.182798	+	0.220135i
$565$	−9.27024	−	18.6172i	−0.390002	−	0.783230i
$566$	6.43895	−	9.39970i	0.270649	−	0.395099i
$567$	0.753774	+	16.3039i	0.0316555	+	0.684699i
$568$	25.2820	+	1.16886i	1.06081	+	0.0490443i
$569$	−27.8789	+	7.93223i	−1.16874	+	0.332536i	−0.801734	−	0.597681i	$-0.796089\pi$
$569$	−27.8789	+	7.93223i	−1.16874	+	0.332536i	−0.367010	+	0.930217i	$0.619619\pi$
$570$	−27.6886	+	13.7873i	−1.15975	+	0.577485i
$571$	−22.1984	+	39.8537i	−0.928972	+	1.66783i	−0.204090	+	0.978952i	$0.565424\pi$
$571$	−22.1984	+	39.8537i	−0.928972	+	1.66783i	−0.724882	+	0.688873i	$0.758106\pi$
$572$	4.40925	+	1.03705i	0.184360	+	0.0433611i
$573$	6.75797	+	20.1630i	0.282318	+	0.842323i
$574$	0.882912	+	0.804880i	0.0368520	+	0.0335951i
$575$	−1.84193	−	13.2044i	−0.0768140	−	0.550661i
$576$	−3.44587	+	8.89482i	−0.143578	+	0.370617i
$577$	−9.82775			−0.409135			−0.204567	−	0.978853i	$-0.565579\pi$
$577$	−9.82775			−0.409135			−0.204567	+	0.978853i	$0.565579\pi$
$578$	−11.6866	+	10.1567i	−0.486099	+	0.422465i
$579$	−50.9866			−2.11893
$580$	−3.12673	+	8.07103i	−0.129831	+	0.335131i
$581$	0.249953	+	1.79185i	0.0103698	+	0.0743386i
$582$	27.7462	+	25.2940i	1.15012	+	1.04847i
$583$	−5.89155	−	17.5780i	−0.244003	−	0.728006i
$584$	−23.2928	−	5.47843i	−0.963865	−	0.226699i
$585$	3.17704	−	5.70388i	0.131354	−	0.235826i
$586$	−16.5532	+	8.24252i	−0.683807	+	0.340495i
$587$	−16.0113	+	4.55562i	−0.660859	+	0.188031i	−0.587436	−	0.809270i	$-0.699863\pi$
$587$	−16.0113	+	4.55562i	−0.660859	+	0.188031i	−0.0734225	+	0.997301i	$0.523392\pi$
$588$	12.3739	+	0.572078i	0.510289	+	0.0235921i
$589$	2.02429	+	43.7847i	0.0834094	+	1.80412i
$590$	−14.3951	+	21.0143i	−0.592637	+	0.865143i
$591$	−20.8387	−	41.8497i	−0.857189	−	1.72147i
$592$	1.73332	+	2.08736i	0.0712390	+	0.0857899i
$593$	−18.8730	+	9.39765i	−0.775023	+	0.385915i	−0.789320	−	0.613982i	$-0.789567\pi$
$593$	−18.8730	+	9.39765i	−0.775023	+	0.385915i	0.0142971	+	0.999898i	$0.495449\pi$
$594$	0.671384	+	7.24539i	0.0275472	+	0.297282i
$595$	−7.00729	+	15.3738i	−0.287271	+	0.630265i
$596$	−1.76419	+	19.0387i	−0.0722641	+	0.779854i
$597$	−19.1960	−	49.5506i	−0.785641	−	2.02797i
$598$	−2.28800	+	5.18182i	−0.0935631	+	0.211900i
$599$	−13.0472	−	5.05452i	−0.533095	−	0.206522i	0.0796210	−	0.996825i	$-0.474629\pi$
$599$	−13.0472	−	5.05452i	−0.533095	−	0.206522i	−0.612716	+	0.790303i	$0.709923\pi$
$600$	17.3335	+	5.80961i	0.707638	+	0.237176i
$601$	11.1943	−	20.0976i	0.456624	−	0.819797i	−0.543179	−	0.839617i	$-0.682780\pi$
$601$	11.1943	−	20.0976i	0.456624	−	0.819797i	0.999804	+	0.0198193i	$0.00630909\pi$
$602$	−1.71832	−	2.50843i	−0.0700334	−	0.102236i
$603$	5.98786	−	4.52182i	0.243845	−	0.184143i
$604$	3.39619	−	0.314704i	0.138189	−	0.0128051i
$605$	3.32249	+	7.52472i	0.135078	+	0.305923i
$606$	14.7366	−	4.93920i	0.598632	−	0.200641i
$607$	−20.4310	+	0.944581i	−0.829268	+	0.0383394i	−0.456651	−	0.889646i	$-0.650951\pi$
$607$	−20.4310	+	0.944581i	−0.829268	+	0.0383394i	−0.372617	+	0.927985i	$0.621539\pi$
$608$	−2.82992	−	30.5397i	−0.114769	−	1.23855i
$609$	−7.86900	−	2.63742i	−0.318868	−	0.106874i
$610$	32.3401	+	9.20156i	1.30941	+	0.372560i
$611$	−3.58298	+	0.669776i	−0.144952	+	0.0270962i
$612$	5.32777	−	6.26331i	0.215362	−	0.253179i
$613$	6.75542	+	1.26281i	0.272849	+	0.0510043i	0.318396	−	0.947958i	$-0.396856\pi$
$613$	6.75542	+	1.26281i	0.272849	+	0.0510043i	−0.0455468	+	0.998962i	$0.514503\pi$
$614$	17.9682	+	8.94708i	0.725136	+	0.361075i
$615$	−4.53582	+	3.10711i	−0.182902	+	0.125291i
$616$	−11.9502			−0.481487
$617$	18.2527	−	12.5034i	0.734827	−	0.503368i	−0.138585	−	0.990351i	$-0.544255\pi$
$617$	18.2527	−	12.5034i	0.734827	−	0.503368i	0.873412	+	0.486982i	$0.161902\pi$
$618$	−0.866196	−	0.866196i	−0.0348435	−	0.0348435i
$619$	−0.494625	+	0.0689973i	−0.0198807	+	0.00277323i	−0.148090	−	0.988974i	$-0.547312\pi$
$619$	−0.494625	+	0.0689973i	−0.0198807	+	0.00277323i	0.128209	+	0.991747i	$0.459077\pi$
$620$	17.4794	−	19.1740i	0.701989	−	0.770045i
$621$	12.7846	+	1.18466i	0.513027	+	0.0475389i
$622$	4.29248	−	5.16923i	0.172113	−	0.207267i
$623$	−5.54110	−	8.08901i	−0.221999	−	0.324079i
$624$	−0.545425	−	0.656830i	−0.0218345	−	0.0262942i
$625$	−8.50392	+	29.8882i	−0.340157	+	1.19553i
$626$	−16.6195	+	3.90888i	−0.664250	+	0.156230i
$627$	18.0556	+	29.1608i	0.721071	+	1.16457i
$628$	−1.26785	−	4.45602i	−0.0505926	−	0.177815i
$629$	−13.5498	−	36.2466i	−0.540264	−	1.44525i
$630$	−1.74027	+	6.11641i	−0.0693340	+	0.243684i
$631$	−16.0261	+	4.55981i	−0.637987	+	0.181523i	−0.577168	−	0.816626i	$-0.695842\pi$
$631$	−16.0261	+	4.55981i	−0.637987	+	0.181523i	−0.0608197	+	0.998149i	$0.519371\pi$
$632$	−29.1774	+	1.34895i	−1.16062	+	0.0536585i
$633$	31.4598	−	12.1876i	1.25041	−	0.484413i
$634$	0.670818	−	14.5096i	0.0266416	−	0.576249i
$635$	−9.51310	+	5.29876i	−0.377516	+	0.210275i
$636$	5.26247	−	15.7011i	0.208671	−	0.622589i
$637$	−3.49784	+	5.64921i	−0.138590	+	0.223830i
$638$	−6.54242	−	1.86148i	−0.259017	−	0.0736967i
$639$	−14.5372	−	3.41911i	−0.575082	−	0.135258i
$640$	−10.6516	+	12.8272i	−0.421042	+	0.507041i
$641$	−10.4559	+	44.4559i	−0.412985	+	1.75590i	0.213963	+	0.976842i	$0.431363\pi$
$641$	−10.4559	+	44.4559i	−0.412985	+	1.75590i	−0.626948	+	0.779061i	$0.715696\pi$
$642$	5.59261	−	7.40582i	0.220723	−	0.292284i
$643$	10.1301	−	10.1301i	0.399494	−	0.399494i	−0.478561	−	0.878055i	$-0.658841\pi$
$643$	10.1301	−	10.1301i	0.399494	−	0.399494i	0.878055	+	0.478561i	$0.158841\pi$
$644$	−1.43041	+	7.65201i	−0.0563660	+	0.301531i
$645$	13.0473	−	5.05456i	0.513738	−	0.199023i
$646$	5.02505	−	20.2826i	0.197708	−	0.798009i
$647$	−1.68785	−	0.653877i	−0.0663563	−	0.0257066i	0.327835	−	0.944735i	$-0.393681\pi$
$647$	−1.68785	−	0.653877i	−0.0663563	−	0.0257066i	−0.394191	+	0.919029i	$0.628975\pi$
$648$	−17.0384	+	27.5179i	−0.669330	+	1.08101i
$649$	24.6749	+	13.7439i	0.968576	+	0.539493i
$650$	−2.67534	+	2.43889i	−0.104935	+	0.0956613i
$651$	19.1391	+	15.8929i	0.750121	+	0.622892i
$652$	−1.68234	−	7.15287i	−0.0658855	−	0.280128i
$653$	31.3371	+	31.3371i	1.22632	+	1.22632i	0.965347	+	0.260970i	$0.0840425\pi$
$653$	31.3371	+	31.3371i	1.22632	+	1.22632i	0.260970	+	0.965347i	$0.415957\pi$
$654$	−9.25428	+	23.8880i	−0.361871	+	0.934096i
$655$	−14.5544	−	7.24724i	−0.568688	−	0.283173i
$656$	0.0596235	+	0.253504i	0.00232791	+	0.00989765i
$657$	12.9162	+	5.70304i	0.503907	+	0.222497i
$658$	3.24773	−	1.43401i	0.126610	−	0.0559037i
$659$	32.1003	−	19.8757i	1.25045	−	0.774246i	0.268480	−	0.963285i	$-0.413479\pi$
$659$	32.1003	−	19.8757i	1.25045	−	0.774246i	0.981970	+	0.189039i	$0.0605374\pi$
$660$	4.64823	−	19.7630i	0.180932	−	0.769275i
$661$	−20.3091	+	15.3368i	−0.789934	+	0.596530i	−0.918614	−	0.395156i	$-0.870691\pi$
$661$	−20.3091	+	15.3368i	−0.789934	+	0.596530i	0.128680	+	0.991686i	$0.458926\pi$
$662$	−4.99525	−	10.0318i	−0.194146	−	0.389897i
$663$	4.26371	+	11.4057i	0.165589	+	0.442962i
$664$	−1.59918	+	3.21159i	−0.0620603	+	0.124634i
$665$	−4.18976	−	22.4132i	−0.162472	−	0.869147i
$666$	−7.08723	−	12.7240i	−0.274625	−	0.493046i
$667$	−5.34991	+	10.7441i	−0.207149	+	0.416012i
$668$	−19.6392	+	4.61910i	−0.759864	+	0.178718i
$669$	16.3248	+	0.754741i	0.631153	+	0.0291800i
$670$	−10.7018	+	3.58689i	−0.413448	+	0.138574i
$671$	6.85082	−	36.6486i	0.264473	−	1.41481i
$672$	−13.8917	−	10.4905i	−0.535883	−	0.404680i
$673$	−10.9616	+	9.10243i	−0.422540	+	0.350873i	−0.825556	−	0.564320i	$-0.809138\pi$
$673$	−10.9616	+	9.10243i	−0.422540	+	0.350873i	0.403016	+	0.915193i	$0.367962\pi$
$674$	1.80906	−	12.9687i	0.0696824	−	0.499537i
$675$	7.16863	+	3.99290i	0.275921	+	0.153687i
$676$	12.8237	−	2.39716i	0.493217	−	0.0921983i
$677$	10.1530	+	30.2924i	0.390211	+	1.16423i	0.943537	+	0.331267i	$0.107476\pi$
$677$	10.1530	+	30.2924i	0.390211	+	1.16423i	−0.553326	+	0.832965i	$0.686642\pi$
$678$	14.5367	+	1.34702i	0.558277	+	0.0517320i
$679$	−23.5314	+	14.5701i	−0.903054	+	0.559147i
$680$	−28.6932	+	17.2986i	−1.10033	+	0.663372i
$681$	27.7176	+	17.1620i	1.06214	+	0.657650i
$682$	16.2714	+	12.2876i	0.623063	+	0.470515i
$683$	−1.66985	+	36.1183i	−0.0638951	+	1.38203i	0.689416	+	0.724365i	$0.257867\pi$
$683$	−1.66985	+	36.1183i	−0.0638951	+	1.38203i	−0.753311	+	0.657664i	$0.771545\pi$
$684$	−1.02392	+	11.0498i	−0.0391504	+	0.422500i
$685$	−9.42621	+	21.3483i	−0.360157	+	0.815678i
$686$	5.00693	−	14.9386i	0.191165	−	0.570360i
$687$	−3.21967	+	23.0811i	−0.122838	+	0.880598i
$688$		−	0.662763i		−	0.0252676i
$689$	5.98412	+	6.56427i	0.227977	+	0.250079i
$690$	23.2258	+	10.2552i	0.884192	+	0.390409i
$691$	51.3815	−	7.16741i	1.95464	−	0.272661i	0.954935	−	0.296815i	$-0.0959246\pi$
$691$	51.3815	−	7.16741i	1.95464	−	0.272661i	0.999708	+	0.0241544i	$0.00768934\pi$
$692$	−0.570422	−	4.08922i	−0.0216842	−	0.155449i
$693$	6.93127	+	1.29568i	0.263297	+	0.0492188i
$694$	17.9604	+	14.9141i	0.681766	+	0.566132i
$695$	−11.7611	−	12.9013i	−0.446125	−	0.489375i
$696$	−9.91796	−	13.1335i	−0.375939	−	0.497824i
$697$	0.386547	−	3.69402i	0.0146415	−	0.139921i
$698$	9.14363	−	12.1081i	0.346092	−	0.458299i
$699$	−8.40193	+	0.778553i	−0.317790	+	0.0294476i
$700$	−2.81163	+	4.10447i	−0.106269	+	0.155134i
$701$	12.2875	+	43.1861i	0.464092	+	1.63112i	0.741923	+	0.670485i	$0.233914\pi$
$701$	12.2875	+	43.1861i	0.464092	+	1.63112i	−0.277831	+	0.960630i	$0.589615\pi$
$702$	−1.69646	−	3.04573i	−0.0640289	−	0.114954i
$703$	43.0840	+	29.5132i	1.62494	+	1.11311i
$704$	−13.1263	−	8.99171i	−0.494715	−	0.338888i
$705$	3.00205	+	16.0596i	0.113064	+	0.604838i
$706$	9.54053	+	15.4085i	0.359063	+	0.579906i
$707$	0.529134	+	11.4450i	0.0199001	+	0.430433i
$708$	10.1904	+	23.0790i	0.382977	+	0.867361i
$709$	13.8716	−	13.8716i	0.520958	−	0.520958i	−0.396903	−	0.917861i	$-0.629915\pi$
$709$	13.8716	−	13.8716i	0.520958	−	0.520958i	0.917861	+	0.396903i	$0.129915\pi$
$710$	19.0994	+	11.8258i	0.716786	+	0.443815i
$711$	17.0695	+	2.38110i	0.640158	+	0.0892982i
$712$		−	19.4435i		−	0.728674i
$713$	26.5880	−	24.2381i	0.995727	−	0.907725i
$714$	−6.58591	−	9.86318i	−0.246472	−	0.369120i
$715$	8.04793	+	7.33666i	0.300976	+	0.274375i
$716$	12.9514	−	14.2070i	0.484016	−	0.530941i
$717$	−51.9840	+	22.9532i	−1.94138	+	0.857202i
$718$	−13.0347	−	17.2607i	−0.486451	−	0.644165i
$719$	0.510063	+	0.0711508i	0.0190221	+	0.00265348i	0.147661	−	0.989038i	$-0.452826\pi$
$719$	0.510063	+	0.0711508i	0.0190221	+	0.00265348i	−0.128639	+	0.991691i	$0.541061\pi$
$720$	−1.06641	+	0.885534i	−0.0397427	+	0.0330019i
$721$	0.788895	−	0.439411i	0.0293800	−	0.0163645i
$722$	3.93580	+	10.1595i	0.146475	+	0.378096i
$723$	9.99964	+	25.8120i	0.371890	+	0.959960i
$724$	24.2964	−	13.5330i	0.902967	−	0.502949i
$725$	−5.90135	+	4.90042i	−0.219171	+	0.181997i
$726$	−5.71864	−	0.797716i	−0.212238	−	0.0296060i
$727$	−23.4037	−	30.9915i	−0.867994	−	1.14941i	−0.987663	−	0.156597i	$-0.949948\pi$
$727$	−23.4037	−	30.9915i	−0.867994	−	1.14941i	0.119668	−	0.992814i	$-0.461817\pi$
$728$	5.23779	−	2.31271i	0.194125	−	0.0857148i
$729$	0.543848	−	0.596573i	0.0201425	−	0.0220953i
$730$	−15.6956	−	14.3084i	−0.580919	−	0.529577i
$731$	−3.11002	+	8.92623i	−0.115028	+	0.330148i
$732$	24.6109	−	22.4358i	0.909643	−	0.829249i
$733$			27.1839i			1.00406i	0.864850	+	0.502031i	$0.167414\pi$
$733$			27.1839i			1.00406i	−0.864850	+	0.502031i	$0.832586\pi$
$734$	18.4743	+	2.57705i	0.681898	+	0.0951207i
$735$	25.3208	+	15.6779i	0.933970	+	0.578290i
$736$	−17.8015	+	17.8015i	−0.656172	+	0.656172i
$737$	5.05526	+	11.4491i	0.186213	+	0.421732i
$738$	−0.0645626	−	1.39647i	−0.00237658	−	0.0514047i
$739$	−19.1150	−	30.8719i	−0.703158	−	1.13564i	−0.984390	−	0.176000i	$-0.943684\pi$
$739$	−19.1150	−	30.8719i	−0.703158	−	1.13564i	0.281232	−	0.959640i	$-0.409257\pi$
$740$	−5.68022	−	30.3865i	−0.208809	−	1.11703i
$741$	−13.5573	−	9.28693i	−0.498038	−	0.341164i
$742$	−7.13745	−	4.88927i	−0.262024	−	0.179491i
$743$	0.252436	+	0.453209i	0.00926096	+	0.0166266i	0.878213	−	0.478269i	$-0.158736\pi$
$743$	0.252436	+	0.453209i	0.00926096	+	0.0166266i	−0.868952	+	0.494896i	$0.835206\pi$
$744$	13.5006	+	47.4497i	0.494956	+	1.73959i
$745$	−25.9791	+	37.9248i	−0.951801	+	1.38946i
$746$	3.84306	−	0.356112i	0.140705	−	0.0130382i
$747$	1.27576	−	1.68938i	0.0466775	−	0.0618110i
$748$	8.13493	+	11.0423i	0.297442	+	0.403748i
$749$	4.12267	+	5.45930i	0.150639	+	0.199479i
$750$	−7.79316	−	8.54869i	−0.284566	−	0.312154i
$751$	1.08743	+	0.902986i	0.0396807	+	0.0329504i	0.658475	−	0.752603i	$-0.271202\pi$
$751$	1.08743	+	0.902986i	0.0396807	+	0.0329504i	−0.618794	+	0.785553i	$0.712378\pi$
$752$	0.760688	+	0.142197i	0.0277394	+	0.00518540i
$753$	−6.09252	−	43.6759i	−0.222024	−	1.59164i
$754$	3.22781	−	0.450260i	0.117550	−	0.0163975i
$755$	7.50154	+	3.31225i	0.273009	+	0.120545i
$756$	−3.22780	−	3.54073i	−0.117394	−	0.128775i
$757$		−	41.9983i		−	1.52646i	−0.646130	−	0.763228i	$-0.723613\pi$
$757$		−	41.9983i		−	1.52646i	0.646130	−	0.763228i	$-0.276387\pi$
$758$	2.35894	−	16.9107i	0.0856804	−	0.614223i
$759$	8.94666	−	26.6932i	0.324743	−	0.968902i
$760$	18.2637	−	41.3634i	0.662496	−	1.50041i
$761$	3.17900	−	34.3069i	0.115239	−	1.24363i	−0.720092	−	0.693878i	$-0.755901\pi$
$761$	3.17900	−	34.3069i	0.115239	−	1.24363i	0.835331	−	0.549747i	$-0.185276\pi$
$762$	0.353016	−	7.63562i	0.0127884	−	0.276609i
$763$	−15.0703	−	11.3805i	−0.545581	−	0.412003i
$764$	−9.75739	−	6.04152i	−0.353010	−	0.218575i
$765$	18.5180	−	6.92242i	0.669519	−	0.250280i
$766$	−17.5905	+	10.8916i	−0.635571	+	0.393529i
$767$	−13.4749	−	1.24863i	−0.486550	−	0.0450855i
$768$	−11.4367	−	34.1224i	−0.412685	−	1.23128i
$769$	−16.8713	+	3.15379i	−0.608395	+	0.113729i	−0.478927	−	0.877855i	$-0.658974\pi$
$769$	−16.8713	+	3.15379i	−0.608395	+	0.113729i	−0.129468	+	0.991584i	$0.541327\pi$
$770$	−9.26642	−	5.16136i	−0.333938	−	0.186003i
$771$	2.29212	−	16.4317i	0.0825487	−	0.591772i
$772$	21.1690	−	17.5785i	0.761890	−	0.632666i
$773$	−25.5071	−	19.2620i	−0.917425	−	0.692808i	0.0344130	−	0.999408i	$-0.489044\pi$
$773$	−25.5071	−	19.2620i	−0.917425	−	0.692808i	−0.951838	+	0.306600i	$0.900809\pi$
$774$	−0.653737	+	3.49718i	−0.0234981	+	0.125704i
$775$	21.8016	−	7.30715i	0.783135	−	0.262481i
$776$	−54.8259	−	2.53475i	−1.96813	−	0.0909924i
$777$	28.8531	−	6.78618i	1.03510	−	0.243453i
$778$	−1.98865	+	3.99374i	−0.0712964	+	0.143182i
$779$	2.43912	+	4.37906i	0.0873905	+	0.156896i
$780$	1.78740	+	9.56174i	0.0639991	+	0.342365i
$781$	11.1030	−	22.2978i	0.397296	−	0.797878i
$782$	−15.4432	+	7.46254i	−0.552249	+	0.266860i
$783$	−3.29273	−	6.61269i	−0.117672	−	0.236318i
$784$	1.12572	−	0.850107i	0.0402044	−	0.0303610i
$785$	2.55018	−	10.8427i	0.0910198	−	0.386992i
$786$	9.70359	−	6.00821i	0.346116	−	0.214306i
$787$	39.7841	−	17.5664i	1.41815	−	0.626175i	0.453873	−	0.891066i	$-0.350042\pi$
$787$	39.7841	−	17.5664i	1.41815	−	0.626175i	0.964278	+	0.264891i	$0.0853360\pi$
$788$	23.0804	+	10.1910i	0.822206	+	0.363039i
$789$	−5.55942	−	23.6372i	−0.197920	−	0.841506i
$790$	−23.2074	−	11.5559i	−0.825681	−	0.411140i
$791$	−3.88761	+	10.0351i	−0.138228	+	0.356807i
$792$	9.88751	+	9.88751i	0.351337	+	0.351337i
$793$	4.08985	+	17.3890i	0.145235	+	0.617501i
$794$	18.0601	+	14.9969i	0.640930	+	0.532222i
$795$	29.4222	−	26.8219i	1.04350	−	0.951275i
$796$	25.0534	+	13.9547i	0.887995	+	0.494610i
$797$	22.6426	−	36.5690i	0.802042	−	1.29534i	−0.149789	−	0.988718i	$-0.547859\pi$
$797$	22.6426	−	36.5690i	0.802042	−	1.29534i	0.951831	−	0.306624i	$-0.0991994\pi$
$798$	14.9248	+	5.78190i	0.528332	+	0.204677i
$799$	−9.57784	−	5.48468i	−0.338840	−	0.194034i
$800$	−15.0030	+	5.81219i	−0.530436	+	0.205492i
$801$	−2.10812	+	11.2775i	−0.0744868	+	0.398469i
$802$	−14.2378	+	14.2378i	−0.502754	+	0.502754i
$803$	−14.1923	+	18.7936i	−0.500835	+	0.663212i
$804$	−2.55947	+	10.8822i	−0.0902655	+	0.383785i
$805$	−11.9566	+	14.3988i	−0.421416	+	0.507492i
$806$	−9.50976	−	2.23668i	−0.334967	−	0.0787835i
$807$	−58.1826	−	16.5544i	−2.04812	−	0.582741i
$808$	−11.9606	+	19.3170i	−0.420772	+	0.679569i
$809$	−14.6321	+	43.6562i	−0.514436	+	1.53487i	0.299606	+	0.954063i	$0.403145\pi$
$809$	−14.6321	+	43.6562i	−0.514436	+	1.53487i	−0.814042	+	0.580806i	$0.802737\pi$
$810$	−25.0970	+	13.9790i	−0.881820	+	0.491170i
$811$	−1.31668	+	28.4793i	−0.0462348	+	1.00004i	0.841663	+	0.540003i	$0.181577\pi$
$811$	−1.31668	+	28.4793i	−0.0462348	+	1.00004i	−0.887898	+	0.460041i	$0.847835\pi$
$812$	4.17641	−	1.61795i	0.146563	−	0.0567789i
$813$	−5.09297	+	0.235462i	−0.178618	+	0.00825803i
$814$	23.3660	−	6.64821i	0.818979	−	0.233020i
$815$	4.83466	−	16.9921i	0.169351	−	0.595206i
$816$	0.0306648	−	2.58498i	0.00107348	−	0.0904925i
$817$	−3.49104	−	12.2697i	−0.122136	−	0.429264i
$818$	1.73362	+	2.79989i	0.0606146	+	0.0978959i
$819$	−3.28874	+	0.773504i	−0.114918	+	0.0270284i
$820$	0.811987	−	2.85384i	0.0283558	−	0.0996603i
$821$	−1.51822	−	1.82832i	−0.0529861	−	0.0638087i	0.742179	−	0.670202i	$-0.233792\pi$
$821$	−1.51822	−	1.82832i	−0.0529861	−	0.0638087i	−0.795165	+	0.606393i	$0.792616\pi$
$822$	−9.25772	−	13.5146i	−0.322900	−	0.471376i
$823$	15.7926	−	19.0183i	0.550495	−	0.662936i	−0.419017	−	0.907978i	$-0.637625\pi$
$823$	15.7926	−	19.0183i	0.550495	−	0.662936i	0.969512	+	0.245042i	$0.0788019\pi$
$824$	1.78307	+	0.165226i	0.0621163	+	0.00575593i
$825$	12.1214	−	13.2965i	0.422013	−	0.462926i
$826$	13.0542	−	1.82099i	0.454214	−	0.0633602i
$827$	−14.8070	−	14.8070i	−0.514889	−	0.514889i	0.401132	−	0.916020i	$-0.368617\pi$
$827$	−14.8070	−	14.8070i	−0.514889	−	0.514889i	−0.916020	+	0.401132i	$0.868617\pi$
$828$	7.51473	−	5.14771i	0.261155	−	0.178895i
$829$	35.9663			1.24916			0.624580	−	0.780960i	$-0.285270\pi$
$829$	35.9663			1.24916			0.624580	+	0.780960i	$0.285270\pi$
$830$	−2.62714	+	1.79963i	−0.0911894	+	0.0624662i
$831$	−7.82831	−	3.89804i	−0.271561	−	0.135221i
$832$	7.49342	+	1.40076i	0.259788	+	0.0485627i
$833$	−19.1506	+	6.16694i	−0.663529	+	0.213672i
$834$	12.0458	−	2.25175i	0.417113	−	0.0779719i
$835$	−46.6541	−	13.2742i	−1.61453	−	0.459374i
$836$	−17.5502	−	5.88222i	−0.606985	−	0.203441i
$837$	2.04314	+	22.0490i	0.0706212	+	0.762124i
$838$	−36.5109	+	1.68800i	−1.26125	+	0.0583111i
$839$	31.0851	−	10.4187i	1.07318	−	0.359692i	0.274582	−	0.961564i	$-0.411460\pi$
$839$	31.0851	−	10.4187i	1.07318	−	0.359692i	0.798593	+	0.601871i	$0.205578\pi$
$840$	−10.3660	−	23.4767i	−0.357660	−	0.810023i
$841$	−22.0002	+	2.03862i	−0.758627	+	0.0702971i
$842$	22.1979	−	16.7631i	0.764989	−	0.577693i
$843$	−34.3959	−	50.2118i	−1.18466	−	1.72939i
$844$	−8.85984	+	15.9065i	−0.304968	+	0.547523i
$845$	29.7393	+	9.96760i	1.02306	+	0.342896i
$846$	−3.87364	−	1.50066i	−0.133179	−	0.0515937i
$847$	1.71925	−	3.89372i	0.0590740	−	0.133790i
$848$	−0.681234	−	1.75847i	−0.0233937	−	0.0603860i
$849$	2.50336	−	27.0156i	0.0859152	−	0.927173i
$850$	−10.9553	+	0.376328i	−0.375763	+	0.0129079i
$851$	−3.95517	−	42.6831i	−0.135581	−	1.46316i
$852$	19.9169	−	9.91746i	0.682343	−	0.339767i
$853$	14.1650	+	17.0583i	0.485001	+	0.584065i	0.954253	−	0.298999i	$-0.0966529\pi$
$853$	14.1650	+	17.0583i	0.485001	+	0.584065i	−0.469252	+	0.883064i	$0.655476\pi$
$854$	−7.75532	−	15.5748i	−0.265381	−	0.532958i
$855$	−15.0780	+	22.0111i	−0.515656	+	0.752764i
$856$	0.626530	+	13.5516i	0.0214144	+	0.463186i
$857$	21.8526	+	1.01030i	0.746469	+	0.0345113i	0.416073	−	0.909331i	$-0.363406\pi$
$857$	21.8526	+	1.01030i	0.746469	+	0.0345113i	0.330396	+	0.943842i	$0.392818\pi$
$858$	−7.35260	+	2.09199i	−0.251014	+	0.0714195i
$859$	−42.2965	+	21.0611i	−1.44314	+	0.718597i	−0.985363	−	0.170472i	$-0.945471\pi$
$859$	−42.2965	+	21.0611i	−1.44314	+	0.718597i	−0.457774	+	0.889069i	$0.651353\pi$
$860$	−3.67444	+	6.59689i	−0.125297	+	0.224952i
$861$	2.76940	+	0.651357i	0.0943809	+	0.0221982i
$862$	1.13452	+	3.38494i	0.0386418	+	0.115292i
$863$	−33.9871	−	30.9833i	−1.15693	−	1.05469i	−0.997723	−	0.0674409i	$-0.978517\pi$
$863$	−33.9871	−	30.9833i	−1.15693	−	1.05469i	−0.159211	−	0.987245i	$-0.550895\pi$
$864$	−2.14068	−	15.3460i	−0.0728274	−	0.522083i
$865$	3.58593	−	9.25635i	0.121925	−	0.314725i
$866$	−12.7126			−0.431990
$867$	−12.5431	+	34.6712i	−0.425985	+	1.17749i
$868$	−13.4257			−0.455697
$869$	−10.3847	+	26.8059i	−0.352275	+	0.909328i
$870$	−2.01814	−	14.4676i	−0.0684215	−	0.490497i
$871$	−4.43146	−	4.03981i	−0.150154	−	0.136884i
$872$	−11.9010	−	35.5076i	−0.403017	−	1.20244i
$873$	31.5249	+	7.41459i	1.06696	+	0.250946i
$874$	11.2636	−	20.2221i	0.380997	−	0.684021i
$875$	7.63337	−	3.80097i	0.258055	−	0.128496i
$876$	−20.2328	+	5.75672i	−0.683602	+	0.194501i
$877$	−36.9705	−	1.70925i	−1.24840	−	0.0577172i	−0.588146	−	0.808755i	$-0.700142\pi$
$877$	−36.9705	−	1.70925i	−1.24840	−	0.0577172i	−0.660259	+	0.751038i	$0.729554\pi$
$878$	0.777827	+	16.8241i	0.0262504	+	0.567788i
$879$	−24.8853	+	36.3281i	−0.839361	+	1.22532i
$880$	−1.03057	−	2.06966i	−0.0347404	−	0.0697681i
$881$	6.04955	+	7.28519i	0.203814	+	0.245444i	0.861390	−	0.507944i	$-0.169594\pi$
$881$	6.04955	+	7.28519i	0.203814	+	0.245444i	−0.657576	+	0.753389i	$0.728418\pi$
$882$	−6.77860	+	3.37534i	−0.228248	+	0.113654i
$883$	−2.84916	−	30.7474i	−0.0958820	−	1.03473i	−0.898717	−	0.438530i	$-0.855499\pi$
$883$	−2.84916	−	30.7474i	−0.0958820	−	1.03473i	0.802835	−	0.596202i	$-0.203324\pi$
$884$	−5.70257	−	3.26553i	−0.191798	−	0.109832i
$885$	−5.59660	+	60.3969i	−0.188128	+	2.03022i
$886$	8.48404	+	21.8998i	0.285027	+	0.735739i
$887$	−19.8064	+	44.8573i	−0.665035	+	1.50616i	0.186827	+	0.982393i	$0.440180\pi$
$887$	−19.8064	+	44.8573i	−0.665035	+	1.50616i	−0.851862	+	0.523767i	$0.824526\pi$
$888$	54.8088	+	21.2330i	1.83926	+	0.712534i
$889$	5.34262	+	1.79067i	0.179186	+	0.0600570i
$890$	8.39774	−	15.0768i	0.281493	−	0.505377i
$891$	18.0021	+	26.2798i	0.603093	+	0.880407i
$892$	−7.03807	+	5.31490i	−0.235652	+	0.177956i
$893$	14.8316	−	1.37435i	0.496322	−	0.0459910i
$894$	−13.0340	−	29.5192i	−0.435922	−	0.987269i
$895$	43.8241	−	14.6884i	1.46488	−	0.490977i
$896$	8.61845	−	0.398455i	0.287922	−	0.0133114i
$897$	1.24458	+	13.4311i	0.0415552	+	0.448452i
$898$	−18.2797	−	6.12673i	−0.610001	−	0.204452i
$899$	−19.9097	−	5.66481i	−0.664027	−	0.188932i
$900$	5.72233	−	1.06969i	0.190744	−	0.0356563i
$901$	0.923366	+	26.8801i	0.0307618	+	0.895506i
$902$	2.29205	+	0.428458i	0.0763169	+	0.0142661i
$903$	−6.48130	−	3.22730i	−0.215684	−	0.107398i
$904$	−17.6063	+	12.0606i	−0.585578	+	0.401130i
$905$	66.8645			2.22265
$906$	−4.74886	+	3.25305i	−0.157770	+	0.108075i
$907$	−15.6672	−	15.6672i	−0.520219	−	0.520219i	0.397418	−	0.917638i	$-0.369906\pi$
$907$	−15.6672	−	15.6672i	−0.520219	−	0.520219i	−0.917638	+	0.397418i	$0.869906\pi$
$908$	−17.4249	+	2.43068i	−0.578267	+	0.0806648i
$909$	9.03170	−	9.90730i	0.299563	−	0.328604i
$910$	5.06036	+	0.468911i	0.167749	+	0.0155443i
$911$	2.07649	−	2.50063i	0.0687973	−	0.0828495i	−0.733819	−	0.679345i	$-0.762264\pi$
$911$	2.07649	−	2.50063i	0.0687973	−	0.0828495i	0.802617	+	0.596495i	$0.203441\pi$
$912$	1.97167	+	2.87828i	0.0652885	+	0.0953095i
$913$	2.25579	+	2.71654i	0.0746557	+	0.0899045i
$914$	3.13190	−	11.0075i	0.103594	−	0.364095i
$915$	77.9405	−	18.3314i	2.57663	−	0.606019i
$916$	−6.62084	−	10.6930i	−0.218759	−	0.353307i
$917$	2.30241	+	8.09213i	0.0760323	+	0.267226i
$918$	2.06270	−	10.3530i	0.0680791	−	0.341699i
$919$	−6.13580	+	21.5651i	−0.202402	+	0.711368i	0.792442	+	0.609947i	$0.208809\pi$
$919$	−6.13580	+	21.5651i	−0.202402	+	0.711368i	−0.994844	+	0.101420i	$0.967661\pi$
$920$	−35.6976	+	10.1568i	−1.17692	+	0.334861i
$921$	47.7472	−	2.20748i	1.57332	−	0.0727391i
$922$	12.7903	−	4.95497i	0.421225	−	0.163183i
$923$	−0.551183	+	11.9219i	−0.0181424	+	0.392414i
$924$	−9.17790	+	5.11206i	−0.301931	+	0.168174i
$925$	8.70613	−	25.9755i	0.286256	−	0.854071i
$926$	−9.52916	+	15.3901i	−0.313148	+	0.505751i
$927$	−1.01629	−	0.289160i	−0.0333794	−	0.00949726i
$928$	14.0998	+	3.31624i	0.462849	+	0.108861i
$929$	1.75028	−	2.10779i	0.0574250	−	0.0691543i	−0.739844	−	0.672778i	$-0.765101\pi$
$929$	1.75028	−	2.10779i	0.0574250	−	0.0691543i	0.797269	+	0.603624i	$0.206277\pi$
$930$	−10.0252	+	42.6244i	−0.328739	+	1.39771i
$931$	16.3627	−	21.6677i	0.536265	−	0.710130i
$932$	3.21996	−	3.21996i	0.105473	−	0.105473i
$933$	2.94000	−	15.7276i	0.0962512	−	0.514899i
$934$	26.7785	−	10.3740i	0.876218	−	0.339449i
$935$	4.16799	+	32.7105i	0.136308	+	1.06975i
$936$	−6.24723	−	2.42019i	−0.204197	−	0.0791064i
$937$	21.7902	−	35.1924i	0.711855	−	1.14969i	−0.270511	−	0.962717i	$-0.587193\pi$
$937$	21.7902	−	35.1924i	0.711855	−	1.14969i	0.982366	−	0.186968i	$-0.0598662\pi$
$938$	5.10240	+	2.84202i	0.166599	+	0.0927952i
$939$	−30.0448	+	27.3895i	−0.980476	+	0.893822i
$940$	−6.78324	−	5.63273i	−0.221245	−	0.183719i
$941$	−5.44308	−	23.1426i	−0.177439	−	0.754426i	−0.986100	−	0.166151i	$-0.946866\pi$
$941$	−5.44308	−	23.1426i	−0.177439	−	0.754426i	0.808661	−	0.588275i	$-0.200193\pi$
$942$	5.52871	+	5.52871i	0.180135	+	0.180135i
$943$	1.48629	−	3.83656i	0.0484003	−	0.124936i
$944$	2.57185	+	1.28063i	0.0837067	+	0.0416810i
$945$	−2.63732	−	11.2132i	−0.0857921	−	0.364766i
$946$	−5.42860	−	2.39696i	−0.176499	−	0.0779320i
$947$	−38.8011	+	17.1324i	−1.26087	+	0.556727i	−0.923121	−	0.384510i	$-0.874370\pi$
$947$	−38.8011	+	17.1324i	−1.26087	+	0.556727i	−0.337746	+	0.941237i	$0.609665\pi$
$948$	−21.8316	+	13.5175i	−0.709056	+	0.439029i
$949$	2.58339	−	10.9839i	0.0838603	−	0.356552i
$950$	11.8055	−	8.91509i	0.383021	−	0.289244i
$951$	−15.4173	−	30.9621i	−0.499940	−	1.00401i
$952$	16.6178	+	4.94197i	0.538585	+	0.160170i
$953$	10.7963	−	21.6819i	0.349726	−	0.702344i	−0.648542	−	0.761179i	$-0.724621\pi$
$953$	10.7963	−	21.6819i	0.349726	−	0.702344i	0.998268	+	0.0588348i	$0.0187385\pi$
$954$	1.86013	+	9.95082i	0.0602239	+	0.322170i
$955$	−13.4264	−	24.1049i	−0.434467	−	0.780017i
$956$	13.6696	−	27.4523i	0.442107	−	0.887870i
$957$	−15.7674	+	3.70846i	−0.509688	+	0.119878i
$958$	2.15731	+	0.0997385i	0.0696995	+	0.00322240i
$959$	11.4498	−	3.83758i	0.369733	−	0.123922i
$960$	6.27847	−	33.5869i	0.202637	−	1.08401i
$961$	24.7780	+	18.7115i	0.799291	+	0.603596i
$962$	−8.95474	+	7.43593i	−0.288713	+	0.239744i
$963$	1.10592	−	7.92806i	0.0356377	−	0.255478i
$964$	−13.0509	−	7.26930i	−0.420341	−	0.234128i
$965$	65.0288	−	12.1560i	2.09335	−	0.391315i
$966$	−4.17507	−	12.4567i	−0.134331	−	0.400789i
$967$	20.9219	+	1.93870i	0.672802	+	0.0623442i	0.423244	−	0.906016i	$-0.360891\pi$
$967$	20.9219	+	1.93870i	0.672802	+	0.0623442i	0.249558	+	0.968360i	$0.419715\pi$
$968$	7.17632	−	4.44339i	0.230656	−	0.142816i
$969$	−13.0485	−	48.0174i	−0.419177	−	1.54254i
$970$	−41.4183	−	25.6451i	−1.32986	−	0.823415i
$971$	−23.6444	−	17.8554i	−0.758785	−	0.573008i	0.150781	−	0.988567i	$-0.451821\pi$
$971$	−23.6444	−	17.8554i	−0.758785	−	0.573008i	−0.909566	+	0.415560i	$0.863586\pi$
$972$	−0.858195	+	18.5625i	−0.0275266	+	0.595391i
$973$	−0.833512	+	8.99503i	−0.0267212	+	0.288367i
$974$	−2.52257	+	5.71307i	−0.0808283	+	0.183059i
$975$	−2.73956	+	8.17374i	−0.0877362	+	0.261769i
$976$	0.523961	−	3.75615i	0.0167716	−	0.120231i
$977$			6.27843i			0.200865i	0.994944	+	0.100432i	$0.0320226\pi$
$977$			6.27843i			0.200865i	−0.994944	+	0.100432i	$0.967977\pi$
$978$	8.35456	+	9.16452i	0.267149	+	0.293049i
$979$	−17.5057	−	7.72954i	−0.559486	−	0.247037i
$980$	−15.9181	+	2.22048i	−0.508486	+	0.0709307i
$981$	3.05286	+	21.8852i	0.0974703	+	0.698741i
$982$	−24.3395	−	4.54984i	−0.776705	−	0.145191i
$983$	6.70663	+	5.56911i	0.213908	+	0.177627i	0.739597	−	0.673050i	$-0.235016\pi$
$983$	6.70663	+	5.56911i	0.213908	+	0.177627i	−0.525689	+	0.850677i	$0.676192\pi$
$984$	3.80077	+	4.16925i	0.121164	+	0.132911i
$985$	36.5555	+	48.4073i	1.16475	+	1.54238i
$986$	8.32798	+	5.29415i	0.265217	+	0.168600i
$987$	5.09472	−	6.74650i	0.162167	−	0.214744i
$988$	8.83064	−	0.818280i	0.280940	−	0.0260329i
$989$	−5.91755	+	8.63856i	−0.188167	+	0.274690i
$990$	3.39649	+	11.9374i	0.107948	+	0.379397i
$991$	−2.19554	−	3.94174i	−0.0697435	−	0.125214i	0.836504	−	0.547960i	$-0.184595\pi$
$991$	−2.19554	−	3.94174i	−0.0697435	−	0.125214i	−0.906248	+	0.422747i	$0.861066\pi$
$992$	−35.8201	−	24.5373i	−1.13729	−	0.779061i
$993$	−22.0160	−	15.0813i	−0.698658	−	0.478592i
$994$	−2.13594	−	11.4263i	−0.0677479	−	0.362419i
$995$	36.2964	+	58.6207i	1.15067	+	1.85840i
$996$	0.145663	+	3.15064i	0.00461550	+	0.0998318i
$997$	−10.1608	−	23.0119i	−0.321794	−	0.728795i	0.678187	−	0.734889i	$-0.262766\pi$
$997$	−10.1608	−	23.0119i	−0.321794	−	0.728795i	−0.999981	+	0.00609458i	$0.998060\pi$
$998$	17.6943	−	17.6943i	0.560105	−	0.560105i
$999$	22.4312	+	13.8888i	0.709691	+	0.439422i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	289.2.h.a.106.17	yes	768
289.30	even	68	inner	289.2.h.a.30.17	✓	768

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
289.2.h.a.30.17	✓	768	289.30	even	68	inner
289.2.h.a.106.17	yes	768	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 289 = 17^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	289.h (of order \(68\), degree \(32\), minimal)

\(f(q)\)	\(=\)	\(q+(0.329015 - 0.849286i) q^{2} +(-0.299639 - 2.14804i) q^{3} +(0.864982 + 0.788536i) q^{4} +(0.894289 + 2.66820i) q^{5} +(-1.92289 - 0.452259i) q^{6} +(0.708575 - 1.27214i) q^{7} +(2.58489 - 1.28712i) q^{8} +(-1.63883 + 0.466286i) q^{9} +O(q^{10})\)	\(q+(0.329015 - 0.849286i) q^{2} +(-0.299639 - 2.14804i) q^{3} +(0.864982 + 0.788536i) q^{4} +(0.894289 + 2.66820i) q^{5} +(-1.92289 - 0.452259i) q^{6} +(0.708575 - 1.27214i) q^{7} +(2.58489 - 1.28712i) q^{8} +(-1.63883 + 0.466286i) q^{9} +(2.56029 + 0.118370i) q^{10} +(-0.131254 - 2.83897i) q^{11} +(1.43463 - 2.09430i) q^{12} +(0.606952 + 1.21892i) q^{13} +(-0.847275 - 1.02033i) q^{14} +(5.46343 - 2.72047i) q^{15} +(-0.0266740 - 0.287859i) q^{16} +(-0.991529 + 4.00211i) q^{17} +(-0.143188 + 1.54525i) q^{18} +(-2.01009 - 5.18863i) q^{19} +(-1.33042 + 3.01312i) q^{20} +(-2.94492 - 1.14087i) q^{21} +(-2.45428 - 0.822592i) q^{22} +(-2.22250 + 3.99016i) q^{23} +(-3.53933 - 5.16679i) q^{24} +(-2.32943 + 1.75910i) q^{25} +(1.23491 - 0.114431i) q^{26} +(-1.13546 - 2.57157i) q^{27} +(1.61603 - 0.541639i) q^{28} +(2.62504 - 0.121363i) q^{29} +(-0.512902 - 5.53509i) q^{30} +(-7.46880 - 2.50329i) q^{31} +(5.30153 + 1.50842i) q^{32} +(-6.05890 + 1.13260i) q^{33} +(3.07271 + 2.15885i) q^{34} +(4.02798 + 0.752960i) q^{35} +(-1.78524 - 0.888944i) q^{36} +(-7.74281 + 5.30395i) q^{37} -5.06798 q^{38} +(2.43643 - 1.66900i) q^{39} +(5.74594 + 5.74594i) q^{40} +(-0.892185 + 0.124454i) q^{41} +(-1.93785 + 2.12572i) q^{42} +(2.28279 + 0.211531i) q^{43} +(2.12510 - 2.55916i) q^{44} +(-2.70973 - 3.95572i) q^{45} +(2.65755 + 3.20036i) q^{46} +(-0.732563 + 2.57469i) q^{47} +(-0.610340 + 0.143551i) q^{48} +(2.56877 + 4.14871i) q^{49} +(0.727563 + 2.55712i) q^{50} +(8.89380 + 0.930659i) q^{51} +(-0.436162 + 1.53295i) q^{52} +(6.27421 - 1.78517i) q^{53} +(-2.55759 + 0.118244i) q^{54} +(7.45755 - 2.88907i) q^{55} +(0.194195 - 4.20036i) q^{56} +(-10.5431 + 5.87247i) q^{57} +(0.760606 - 2.26934i) q^{58} +(-5.23179 + 8.44963i) q^{59} +(6.87096 + 1.95496i) q^{60} +(12.7703 + 3.00354i) q^{61} +(-4.58336 + 5.51953i) q^{62} +(-0.568052 + 2.41521i) q^{63} +(3.37379 - 4.46762i) q^{64} +(-2.70954 + 2.70954i) q^{65} +(-1.03156 + 5.51838i) q^{66} +(-4.10638 + 1.59082i) q^{67} +(-4.01346 + 2.67990i) q^{68} +(9.23698 + 3.57843i) q^{69} +(1.96474 - 3.17317i) q^{70} +(7.65701 + 4.26492i) q^{71} +(-3.63603 + 3.31468i) q^{72} +(-6.37512 - 5.29383i) q^{73} +(1.95707 + 8.32094i) q^{74} +(4.47661 + 4.47661i) q^{75} +(2.35273 - 6.07310i) q^{76} +(-3.70456 - 1.84465i) q^{77} +(-0.615831 - 2.61835i) q^{78} +(-9.25323 - 4.08570i) q^{79} +(0.744209 - 0.328600i) q^{80} +(-9.52960 + 5.90048i) q^{81} +(-0.187845 + 0.798668i) q^{82} +(-0.991492 + 0.748740i) q^{83} +(-1.64769 - 3.30900i) q^{84} +(-11.5651 + 0.933447i) q^{85} +(0.930722 - 1.86914i) q^{86} +(-1.04726 - 5.60234i) q^{87} +(-3.99339 - 7.16950i) q^{88} +(3.00132 - 6.02747i) q^{89} +(-4.25107 + 0.999844i) q^{90} +(1.98071 + 0.0915737i) q^{91} +(-5.06881 + 1.69889i) q^{92} +(-3.13923 + 16.7934i) q^{93} +(1.94563 + 1.46927i) q^{94} +(12.0467 - 10.0034i) q^{95} +(1.65159 - 11.8399i) q^{96} +(-16.6048 - 9.24879i) q^{97} +(4.36861 - 0.816634i) q^{98} +(1.53888 + 4.59138i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 768 q - 34 q^{2} - 34 q^{3} + 14 q^{4} - 34 q^{5} - 34 q^{6} - 34 q^{7} - 34 q^{8} - 34 q^{9}+O(q^{10}) \) 768 * q - 34 * q^2 - 34 * q^3 + 14 * q^4 - 34 * q^5 - 34 * q^6 - 34 * q^7 - 34 * q^8 - 34 * q^9	\( 768 q - 34 q^{2} - 34 q^{3} + 14 q^{4} - 34 q^{5} - 34 q^{6} - 34 q^{7} - 34 q^{8} - 34 q^{9} + 34 q^{10} - 34 q^{11} - 34 q^{12} - 30 q^{13} - 34 q^{14} - 34 q^{15} - 82 q^{16} - 34 q^{17} - 42 q^{18} - 34 q^{19} - 34 q^{20} - 26 q^{21} - 34 q^{22} - 34 q^{23} - 204 q^{24} + 170 q^{25} - 34 q^{26} - 34 q^{27} - 34 q^{28} - 34 q^{29} - 14 q^{30} - 34 q^{31} - 34 q^{32} + 56 q^{33} - 34 q^{34} - 42 q^{35} - 34 q^{36} - 34 q^{37} + 144 q^{38} - 170 q^{39} - 34 q^{40} - 34 q^{41} - 34 q^{42} - 34 q^{43} - 34 q^{44} - 34 q^{45} + 102 q^{46} - 30 q^{47} - 34 q^{48} - 34 q^{49} - 62 q^{50} + 238 q^{51} - 50 q^{52} + 136 q^{54} - 14 q^{55} - 34 q^{56} - 34 q^{57} - 34 q^{58} - 34 q^{59} - 34 q^{60} - 34 q^{61} - 238 q^{62} - 34 q^{63} + 38 q^{64} - 34 q^{65} + 476 q^{66} + 82 q^{67} - 34 q^{68} - 62 q^{69} - 34 q^{70} - 34 q^{71} + 10 q^{72} - 34 q^{73} - 34 q^{74} + 102 q^{75} - 102 q^{76} - 374 q^{77} - 34 q^{78} + 68 q^{79} - 34 q^{80} + 30 q^{81} - 34 q^{82} + 102 q^{83} - 82 q^{84} - 204 q^{85} - 62 q^{86} - 34 q^{87} + 170 q^{88} - 22 q^{89} - 34 q^{90} - 34 q^{91} + 34 q^{92} - 34 q^{93} + 238 q^{94} - 34 q^{95} + 544 q^{96} - 34 q^{97} + 10 q^{98} - 34 q^{99}+O(q^{100}) \) 768 * q - 34 * q^2 - 34 * q^3 + 14 * q^4 - 34 * q^5 - 34 * q^6 - 34 * q^7 - 34 * q^8 - 34 * q^9 + 34 * q^10 - 34 * q^11 - 34 * q^12 - 30 * q^13 - 34 * q^14 - 34 * q^15 - 82 * q^16 - 34 * q^17 - 42 * q^18 - 34 * q^19 - 34 * q^20 - 26 * q^21 - 34 * q^22 - 34 * q^23 - 204 * q^24 + 170 * q^25 - 34 * q^26 - 34 * q^27 - 34 * q^28 - 34 * q^29 - 14 * q^30 - 34 * q^31 - 34 * q^32 + 56 * q^33 - 34 * q^34 - 42 * q^35 - 34 * q^36 - 34 * q^37 + 144 * q^38 - 170 * q^39 - 34 * q^40 - 34 * q^41 - 34 * q^42 - 34 * q^43 - 34 * q^44 - 34 * q^45 + 102 * q^46 - 30 * q^47 - 34 * q^48 - 34 * q^49 - 62 * q^50 + 238 * q^51 - 50 * q^52 + 136 * q^54 - 14 * q^55 - 34 * q^56 - 34 * q^57 - 34 * q^58 - 34 * q^59 - 34 * q^60 - 34 * q^61 - 238 * q^62 - 34 * q^63 + 38 * q^64 - 34 * q^65 + 476 * q^66 + 82 * q^67 - 34 * q^68 - 62 * q^69 - 34 * q^70 - 34 * q^71 + 10 * q^72 - 34 * q^73 - 34 * q^74 + 102 * q^75 - 102 * q^76 - 374 * q^77 - 34 * q^78 + 68 * q^79 - 34 * q^80 + 30 * q^81 - 34 * q^82 + 102 * q^83 - 82 * q^84 - 204 * q^85 - 62 * q^86 - 34 * q^87 + 170 * q^88 - 22 * q^89 - 34 * q^90 - 34 * q^91 + 34 * q^92 - 34 * q^93 + 238 * q^94 - 34 * q^95 + 544 * q^96 - 34 * q^97 + 10 * q^98 - 34 * q^99

Introduction

L-functions

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