LMFDB - Embedded newform 560.2.bb.d.29.12

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [560,2,Mod(29,560)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(560, base_ring=CyclotomicField(4))

chi = DirichletCharacter(H, H._module([0, 3, 2, 0]))

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

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

chi := DirichletCharacter("560.29");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 560 = 2^{4} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	560.bb (of order $4$, degree $2$, 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:	$4.47162251319$
Analytic rank:	$0$
Dimension:	$70$
Relative dimension:	$35$ over $\Q(i)$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label			29.12
Character	$\chi$	$=$	560.29
Dual form			560.2.bb.d.309.12

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.735407 - 1.20796i) q^{2} +(-1.40023 + 1.40023i) q^{3} +(-0.918355 + 1.77669i) q^{4} +(2.12747 + 0.688383i) q^{5} +(2.72116 + 0.661689i) q^{6} +1.00000 q^{7} +(2.82154 - 0.197250i) q^{8} -0.921283i q^{9} +O(q^{10})$	\(q+(-0.735407 - 1.20796i) q^{2} +(-1.40023 + 1.40023i) q^{3} +(-0.918355 + 1.77669i) q^{4} +(2.12747 + 0.688383i) q^{5} +(2.72116 + 0.661689i) q^{6} +1.00000 q^{7} +(2.82154 - 0.197250i) q^{8} -0.921283i q^{9} +(-0.733014 - 3.07615i) q^{10} +(4.04884 - 4.04884i) q^{11} +(-1.20187 - 3.77368i) q^{12} +(-4.50090 + 4.50090i) q^{13} +(-0.735407 - 1.20796i) q^{14} +(-3.94284 + 2.01505i) q^{15} +(-2.31325 - 3.26326i) q^{16} -1.32666i q^{17} +(-1.11288 + 0.677517i) q^{18} +(2.24846 + 2.24846i) q^{19} +(-3.17681 + 3.14767i) q^{20} +(-1.40023 + 1.40023i) q^{21} +(-7.86840 - 1.91331i) q^{22} +1.34692 q^{23} +(-3.67461 + 4.22700i) q^{24} +(4.05226 + 2.92903i) q^{25} +(8.74693 + 2.12694i) q^{26} +(-2.91068 - 2.91068i) q^{27} +(-0.918355 + 1.77669i) q^{28} +(3.69634 + 3.69634i) q^{29} +(5.33370 + 3.28093i) q^{30} -3.92295 q^{31} +(-2.24072 + 5.19415i) q^{32} +11.3386i q^{33} +(-1.60256 + 0.975636i) q^{34} +(2.12747 + 0.688383i) q^{35} +(1.63683 + 0.846064i) q^{36} +(7.16792 + 7.16792i) q^{37} +(1.06253 - 4.36959i) q^{38} -12.6046i q^{39} +(6.13853 + 1.52266i) q^{40} +4.77308i q^{41} +(2.72116 + 0.661689i) q^{42} +(2.51358 + 2.51358i) q^{43} +(3.47526 + 10.9118i) q^{44} +(0.634195 - 1.96000i) q^{45} +(-0.990532 - 1.62703i) q^{46} -3.67568i q^{47} +(7.80839 + 1.33023i) q^{48} +1.00000 q^{49} +(0.558101 - 7.04901i) q^{50} +(1.85763 + 1.85763i) q^{51} +(-3.86328 - 12.1301i) q^{52} +(0.667357 + 0.667357i) q^{53} +(-1.37546 + 5.65653i) q^{54} +(11.4009 - 5.82664i) q^{55} +(2.82154 - 0.197250i) q^{56} -6.29671 q^{57} +(1.74673 - 7.18335i) q^{58} +(-5.83272 + 5.83272i) q^{59} +(0.0408017 - 8.85573i) q^{60} +(2.79342 + 2.79342i) q^{61} +(2.88497 + 4.73879i) q^{62} -0.921283i q^{63} +(7.92219 - 1.11310i) q^{64} +(-12.6739 + 6.47720i) q^{65} +(13.6966 - 8.33848i) q^{66} +(3.96136 - 3.96136i) q^{67} +(2.35707 + 1.21835i) q^{68} +(-1.88599 + 1.88599i) q^{69} +(-0.733014 - 3.07615i) q^{70} +4.88149i q^{71} +(-0.181723 - 2.59944i) q^{72} -15.4877 q^{73} +(3.38725 - 13.9299i) q^{74} +(-9.77540 + 1.57278i) q^{75} +(-6.05969 + 1.92993i) q^{76} +(4.04884 - 4.04884i) q^{77} +(-15.2259 + 9.26950i) q^{78} -8.81160 q^{79} +(-2.67500 - 8.53489i) q^{80} +10.9151 q^{81} +(5.76570 - 3.51015i) q^{82} +(2.01499 - 2.01499i) q^{83} +(-1.20187 - 3.77368i) q^{84} +(0.913251 - 2.82243i) q^{85} +(1.18781 - 4.88481i) q^{86} -10.3514 q^{87} +(10.6253 - 12.2226i) q^{88} +10.4115i q^{89} +(-2.83400 + 0.675313i) q^{90} +(-4.50090 + 4.50090i) q^{91} +(-1.23695 + 2.39305i) q^{92} +(5.49303 - 5.49303i) q^{93} +(-4.44009 + 2.70312i) q^{94} +(3.23573 + 6.33132i) q^{95} +(-4.13547 - 10.4105i) q^{96} -7.26509i q^{97} +(-0.735407 - 1.20796i) q^{98} +(-3.73013 - 3.73013i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 70 q + 2 q^{2} + 2 q^{3} + 2 q^{5} + 70 q^{7} + 8 q^{8}+O(q^{10}) $ 70 * q + 2 * q^2 + 2 * q^3 + 2 * q^5 + 70 * q^7 + 8 * q^8	$ 70 q + 2 q^{2} + 2 q^{3} + 2 q^{5} + 70 q^{7} + 8 q^{8} - 18 q^{10} - 2 q^{11} - 4 q^{12} + 6 q^{13} + 2 q^{14} - 6 q^{15} + 4 q^{16} - 18 q^{18} + 14 q^{19} + 12 q^{20} + 2 q^{21} - 12 q^{22} + 20 q^{24} + 6 q^{25} - 36 q^{26} + 8 q^{27} + 2 q^{29} + 8 q^{30} + 16 q^{31} - 8 q^{32} + 4 q^{34} + 2 q^{35} - 40 q^{36} + 10 q^{37} - 12 q^{38} - 24 q^{40} + 2 q^{43} - 24 q^{44} - 24 q^{45} - 16 q^{46} - 44 q^{48} + 70 q^{49} - 10 q^{50} + 8 q^{51} + 28 q^{52} - 30 q^{53} - 32 q^{54} + 6 q^{55} + 8 q^{56} - 76 q^{57} + 56 q^{58} + 2 q^{59} - 8 q^{60} + 30 q^{61} + 48 q^{62} + 12 q^{64} - 10 q^{65} + 80 q^{66} + 6 q^{67} - 36 q^{68} - 16 q^{69} - 18 q^{70} + 4 q^{72} - 36 q^{73} - 32 q^{74} - 2 q^{75} + 44 q^{76} - 2 q^{77} - 84 q^{78} - 40 q^{79} + 12 q^{80} - 82 q^{81} + 24 q^{82} + 10 q^{83} - 4 q^{84} + 32 q^{85} + 32 q^{86} - 4 q^{87} + 32 q^{88} + 18 q^{90} + 6 q^{91} - 92 q^{92} - 56 q^{93} - 20 q^{94} + 6 q^{95} + 16 q^{96} + 2 q^{98} - 34 q^{99}+O(q^{100}) $ 70 * q + 2 * q^2 + 2 * q^3 + 2 * q^5 + 70 * q^7 + 8 * q^8 - 18 * q^10 - 2 * q^11 - 4 * q^12 + 6 * q^13 + 2 * q^14 - 6 * q^15 + 4 * q^16 - 18 * q^18 + 14 * q^19 + 12 * q^20 + 2 * q^21 - 12 * q^22 + 20 * q^24 + 6 * q^25 - 36 * q^26 + 8 * q^27 + 2 * q^29 + 8 * q^30 + 16 * q^31 - 8 * q^32 + 4 * q^34 + 2 * q^35 - 40 * q^36 + 10 * q^37 - 12 * q^38 - 24 * q^40 + 2 * q^43 - 24 * q^44 - 24 * q^45 - 16 * q^46 - 44 * q^48 + 70 * q^49 - 10 * q^50 + 8 * q^51 + 28 * q^52 - 30 * q^53 - 32 * q^54 + 6 * q^55 + 8 * q^56 - 76 * q^57 + 56 * q^58 + 2 * q^59 - 8 * q^60 + 30 * q^61 + 48 * q^62 + 12 * q^64 - 10 * q^65 + 80 * q^66 + 6 * q^67 - 36 * q^68 - 16 * q^69 - 18 * q^70 + 4 * q^72 - 36 * q^73 - 32 * q^74 - 2 * q^75 + 44 * q^76 - 2 * q^77 - 84 * q^78 - 40 * q^79 + 12 * q^80 - 82 * q^81 + 24 * q^82 + 10 * q^83 - 4 * q^84 + 32 * q^85 + 32 * q^86 - 4 * q^87 + 32 * q^88 + 18 * q^90 + 6 * q^91 - 92 * q^92 - 56 * q^93 - 20 * q^94 + 6 * q^95 + 16 * q^96 + 2 * q^98 - 34 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/560\mathbb{Z}\right)^\times$.

$n$	$241$	$337$	$351$	$421$
$\chi(n)$	$1$	$-1$	$1$	$e\left(\frac{3}{4}\right)$

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 $

$2$	−0.735407	−	1.20796i	−0.520011	−	0.854160i
$2$	−0.735407	−	1.20796i	−0.520011	−	0.854160i
$3$	−1.40023	+	1.40023i	−0.808423	+	0.808423i	−0.984395	−	0.175972i	$-0.943693\pi$
$3$	−1.40023	+	1.40023i	−0.808423	+	0.808423i	0.175972	+	0.984395i	$0.443693\pi$
$4$	−0.918355	+	1.77669i	−0.459177	+	0.888345i
$5$	2.12747	+	0.688383i	0.951434	+	0.307854i
$5$	2.12747	+	0.688383i	0.951434	+	0.307854i
$6$	2.72116	+	0.661689i	1.11091	+	0.270133i
$7$	1.00000			0.377964
$7$	1.00000			0.377964
$8$	2.82154	−	0.197250i	0.997565	−	0.0697383i
$9$		−	0.921283i		−	0.307094i
$10$	−0.733014	−	3.07615i	−0.231799	−	0.972764i
$11$	4.04884	−	4.04884i	1.22077	−	1.22077i	0.253413	−	0.967358i	$-0.418447\pi$
$11$	4.04884	−	4.04884i	1.22077	−	1.22077i	0.967358	−	0.253413i	$-0.0815531\pi$
$12$	−1.20187	−	3.77368i	−0.346949	−	1.08937i
$13$	−4.50090	+	4.50090i	−1.24833	+	1.24833i	−0.291868	+	0.956459i	$0.594277\pi$
$13$	−4.50090	+	4.50090i	−1.24833	+	1.24833i	−0.956459	+	0.291868i	$0.905723\pi$
$14$	−0.735407	−	1.20796i	−0.196546	−	0.322842i
$15$	−3.94284	+	2.01505i	−1.01804	+	0.520284i
$16$	−2.31325	−	3.26326i	−0.578312	−	0.815815i
$17$		−	1.32666i		−	0.321763i	−0.986974	−	0.160881i	$-0.948566\pi$
$17$		−	1.32666i		−	0.321763i	0.986974	−	0.160881i	$-0.0514336\pi$
$18$	−1.11288	+	0.677517i	−0.262307	+	0.159692i
$19$	2.24846	+	2.24846i	0.515831	+	0.515831i	0.916307	−	0.400476i	$-0.131155\pi$
$19$	2.24846	+	2.24846i	0.515831	+	0.515831i	−0.400476	+	0.916307i	$0.631155\pi$
$20$	−3.17681	+	3.14767i	−0.710357	+	0.703841i
$21$	−1.40023	+	1.40023i	−0.305555	+	0.305555i
$22$	−7.86840	−	1.91331i	−1.67755	−	0.407919i
$23$	1.34692			0.280852			0.140426	−	0.990091i	$-0.455153\pi$
$23$	1.34692			0.280852			0.140426	+	0.990091i	$0.455153\pi$
$24$	−3.67461	+	4.22700i	−0.750076	+	0.862832i
$25$	4.05226	+	2.92903i	0.810452	+	0.585805i
$26$	8.74693	+	2.12694i	1.71541	+	0.417127i
$27$	−2.91068	−	2.91068i	−0.560161	−	0.560161i
$28$	−0.918355	+	1.77669i	−0.173553	+	0.335763i
$29$	3.69634	+	3.69634i	0.686393	+	0.686393i	0.961433	−	0.275040i	$-0.0886911\pi$
$29$	3.69634	+	3.69634i	0.686393	+	0.686393i	−0.275040	+	0.961433i	$0.588691\pi$
$30$	5.33370	+	3.28093i	0.973796	+	0.599012i
$31$	−3.92295			−0.704583			−0.352292	−	0.935890i	$-0.614597\pi$
$31$	−3.92295			−0.704583			−0.352292	+	0.935890i	$0.614597\pi$
$32$	−2.24072	+	5.19415i	−0.396108	+	0.918204i
$33$			11.3386i			1.97380i
$34$	−1.60256	+	0.975636i	−0.274837	+	0.167320i
$35$	2.12747	+	0.688383i	0.359608	+	0.116358i
$36$	1.63683	+	0.846064i	0.272806	+	0.141011i
$37$	7.16792	+	7.16792i	1.17840	+	1.17840i	0.980152	+	0.198246i	$0.0635246\pi$
$37$	7.16792	+	7.16792i	1.17840	+	1.17840i	0.198246	+	0.980152i	$0.436475\pi$
$38$	1.06253	−	4.36959i	0.172364	−	0.708840i
$39$		−	12.6046i		−	2.01835i
$40$	6.13853	+	1.52266i	0.970586	+	0.240753i
$41$			4.77308i			0.745429i	0.927946	+	0.372715i	$0.121573\pi$
$41$			4.77308i			0.745429i	−0.927946	+	0.372715i	$0.878427\pi$
$42$	2.72116	+	0.661689i	0.419885	+	0.102101i
$43$	2.51358	+	2.51358i	0.383317	+	0.383317i	0.872296	−	0.488979i	$-0.162630\pi$
$43$	2.51358	+	2.51358i	0.383317	+	0.383317i	−0.488979	+	0.872296i	$0.662630\pi$
$44$	3.47526	+	10.9118i	0.523915	+	1.64502i
$45$	0.634195	−	1.96000i	0.0945402	−	0.292180i
$46$	−0.990532	−	1.62703i	−0.146046	−	0.239892i
$47$		−	3.67568i		−	0.536153i	−0.963398	−	0.268076i	$-0.913612\pi$
$47$		−	3.67568i		−	0.536153i	0.963398	−	0.268076i	$-0.0863880\pi$
$48$	7.80839	+	1.33023i	1.12704	+	0.192003i
$49$	1.00000			0.142857
$50$	0.558101	−	7.04901i	0.0789275	−	0.996880i
$51$	1.85763	+	1.85763i	0.260120	+	0.260120i
$52$	−3.86328	−	12.1301i	−0.535741	−	1.68215i
$53$	0.667357	+	0.667357i	0.0916686	+	0.0916686i	0.751454	−	0.659785i	$-0.229353\pi$
$53$	0.667357	+	0.667357i	0.0916686	+	0.0916686i	−0.659785	+	0.751454i	$0.729353\pi$
$54$	−1.37546	+	5.65653i	−0.187177	+	0.769756i
$55$	11.4009	−	5.82664i	1.53730	−	0.785663i
$56$	2.82154	−	0.197250i	0.377044	−	0.0263586i
$57$	−6.29671			−0.834020
$58$	1.74673	−	7.18335i	0.229357	−	0.943221i
$59$	−5.83272	+	5.83272i	−0.759356	+	0.759356i	−0.976205	−	0.216849i	$-0.930422\pi$
$59$	−5.83272	+	5.83272i	−0.759356	+	0.759356i	0.216849	+	0.976205i	$0.430422\pi$
$60$	0.0408017	−	8.85573i	0.00526748	−	1.14327i
$61$	2.79342	+	2.79342i	0.357660	+	0.357660i	0.862950	−	0.505289i	$-0.168614\pi$
$61$	2.79342	+	2.79342i	0.357660	+	0.357660i	−0.505289	+	0.862950i	$0.668614\pi$
$62$	2.88497	+	4.73879i	0.366391	+	0.601826i
$63$		−	0.921283i		−	0.116071i
$64$	7.92219	−	1.11310i	0.990273	−	0.139137i
$65$	−12.6739	+	6.47720i	−1.57200	+	0.803397i
$66$	13.6966	−	8.33848i	1.68594	−	1.02640i
$67$	3.96136	−	3.96136i	0.483957	−	0.483957i	−0.422436	−	0.906393i	$-0.638825\pi$
$67$	3.96136	−	3.96136i	0.483957	−	0.483957i	0.906393	+	0.422436i	$0.138825\pi$
$68$	2.35707	+	1.21835i	0.285836	+	0.147746i
$69$	−1.88599	+	1.88599i	−0.227047	+	0.227047i
$70$	−0.733014	−	3.07615i	−0.0876119	−	0.367670i
$71$			4.88149i			0.579326i	0.957129	+	0.289663i	$0.0935432\pi$
$71$			4.88149i			0.579326i	−0.957129	+	0.289663i	$0.906457\pi$
$72$	−0.181723	−	2.59944i	−0.0214162	−	0.306347i
$73$	−15.4877			−1.81270			−0.906352	−	0.422524i	$-0.861144\pi$
$73$	−15.4877			−1.81270			−0.906352	+	0.422524i	$0.861144\pi$
$74$	3.38725	−	13.9299i	0.393760	−	1.61932i
$75$	−9.77540	+	1.57278i	−1.12877	+	0.181609i
$76$	−6.05969	+	1.92993i	−0.695094	+	0.221378i
$77$	4.04884	−	4.04884i	0.461408	−	0.461408i
$78$	−15.2259	+	9.26950i	−1.72399	+	1.04956i
$79$	−8.81160			−0.991383			−0.495691	−	0.868499i	$-0.665085\pi$
$79$	−8.81160			−0.991383			−0.495691	+	0.868499i	$0.665085\pi$
$80$	−2.67500	−	8.53489i	−0.299074	−	0.954230i
$81$	10.9151			1.21279
$82$	5.76570	−	3.51015i	0.636715	−	0.387631i
$83$	2.01499	−	2.01499i	0.221174	−	0.221174i	−0.587819	−	0.808993i	$-0.700013\pi$
$83$	2.01499	−	2.01499i	0.221174	−	0.221174i	0.808993	+	0.587819i	$0.200013\pi$
$84$	−1.20187	−	3.77368i	−0.131134	−	0.411742i
$85$	0.913251	−	2.82243i	0.0990559	−	0.306136i
$86$	1.18781	−	4.88481i	0.128085	−	0.526743i
$87$	−10.3514			−1.10979
$88$	10.6253	−	12.2226i	1.13266	−	1.30293i
$89$			10.4115i			1.10362i	0.833970	+	0.551809i	$0.186062\pi$
$89$			10.4115i			1.10362i	−0.833970	+	0.551809i	$0.813938\pi$
$90$	−2.83400	+	0.675313i	−0.298730	+	0.0711843i
$91$	−4.50090	+	4.50090i	−0.471823	+	0.471823i
$92$	−1.23695	+	2.39305i	−0.128961	+	0.249493i
$93$	5.49303	−	5.49303i	0.569601	−	0.569601i
$94$	−4.44009	+	2.70312i	−0.457960	+	0.278805i
$95$	3.23573	+	6.33132i	0.331979	+	0.649580i
$96$	−4.13547	−	10.4105i	−0.422075	−	1.06252i
$97$		−	7.26509i		−	0.737658i	−0.929497	−	0.368829i	$-0.879759\pi$
$97$		−	7.26509i		−	0.737658i	0.929497	−	0.368829i	$-0.120241\pi$
$98$	−0.735407	−	1.20796i	−0.0742873	−	0.122023i
$99$	−3.73013	−	3.73013i	−0.374892	−	0.374892i
$100$	−8.92538	+	4.50972i	−0.892538	+	0.450972i
$101$	5.32502	−	5.32502i	0.529859	−	0.529859i	−0.390671	−	0.920530i	$-0.627757\pi$
$101$	5.32502	−	5.32502i	0.529859	−	0.529859i	0.920530	+	0.390671i	$0.127757\pi$
$102$	0.877837	−	3.61006i	0.0869188	−	0.357450i
$103$	3.68901			0.363489			0.181744	−	0.983346i	$-0.441826\pi$
$103$	3.68901			0.363489			0.181744	+	0.983346i	$0.441826\pi$
$104$	−11.8117	+	13.5873i	−1.15823	+	1.33234i
$105$	−3.94284	+	2.01505i	−0.384782	+	0.196649i
$106$	0.315365	−	1.29692i	0.0306309	−	0.125968i
$107$	8.44733	+	8.44733i	0.816634	+	0.816634i	0.985619	−	0.168984i	$-0.0540488\pi$
$107$	8.44733	+	8.44733i	0.816634	+	0.816634i	−0.168984	+	0.985619i	$0.554049\pi$
$108$	7.84441	−	2.49834i	0.754829	−	0.240403i
$109$	−0.0745629	−	0.0745629i	−0.00714183	−	0.00714183i	0.703527	−	0.710669i	$-0.251607\pi$
$109$	−0.0745629	−	0.0745629i	−0.00714183	−	0.00714183i	−0.710669	+	0.703527i	$0.751607\pi$
$110$	−15.4227	−	9.48698i	−1.47050	−	0.904548i
$111$	−20.0735			−1.90529
$112$	−2.31325	−	3.26326i	−0.218582	−	0.308349i
$113$		−	10.0660i		−	0.946934i	−0.880812	−	0.473467i	$-0.843002\pi$
$113$		−	10.0660i		−	0.946934i	0.880812	−	0.473467i	$-0.156998\pi$
$114$	4.63064	+	7.60620i	0.433699	+	0.712386i
$115$	2.86553	+	0.927194i	0.267212	+	0.0864613i
$116$	−9.96179	+	3.17270i	−0.924929	+	0.294577i
$117$	4.14661	+	4.14661i	0.383354	+	0.383354i
$118$	11.3351	+	2.75630i	1.04348	+	0.253738i
$119$		−	1.32666i		−	0.121615i
$120$	−10.7274	+	6.46328i	−0.979274	+	0.590014i
$121$		−	21.7862i		−	1.98056i
$122$	1.32005	−	5.42864i	0.119512	−	0.491486i
$123$	−6.68340	−	6.68340i	−0.602622	−	0.602622i
$124$	3.60266	−	6.96987i	0.323529	−	0.625913i
$125$	6.60477	+	9.02092i	0.590749	+	0.806856i
$126$	−1.11288	+	0.677517i	−0.0991429	+	0.0603580i
$127$		−	12.3611i		−	1.09687i	−0.836193	−	0.548435i	$-0.815224\pi$
$127$		−	12.3611i		−	1.09687i	0.836193	−	0.548435i	$-0.184776\pi$
$128$	−7.17061	−	8.75114i	−0.633798	−	0.773499i
$129$	−7.03917			−0.619764
$130$	17.1447	+	10.5462i	1.50369	+	0.924965i
$131$	−0.619962	−	0.619962i	−0.0541663	−	0.0541663i	0.679505	−	0.733671i	$-0.262195\pi$
$131$	−0.619962	−	0.619962i	−0.0541663	−	0.0541663i	−0.733671	+	0.679505i	$0.762195\pi$
$132$	−20.1452	−	10.4129i	−1.75341	−	0.906323i
$133$	2.24846	+	2.24846i	0.194966	+	0.194966i
$134$	−7.69839	−	1.87197i	−0.665040	−	0.161714i
$135$	−4.18872	−	8.19605i	−0.360508	−	0.705403i
$136$	−0.261684	−	3.74323i	−0.0224392	−	0.320979i
$137$	−19.0909			−1.63104			−0.815521	−	0.578728i	$-0.803549\pi$
$137$	−19.0909			−1.63104			−0.815521	+	0.578728i	$0.803549\pi$
$138$	3.66518	+	0.891240i	0.312001	+	0.0758674i
$139$	14.2098	−	14.2098i	1.20526	−	1.20526i	0.232717	−	0.972545i	$-0.425239\pi$
$139$	14.2098	−	14.2098i	1.20526	−	1.20526i	0.972545	−	0.232717i	$-0.0747615\pi$
$140$	−3.17681	+	3.14767i	−0.268490	+	0.266027i
$141$	5.14679	+	5.14679i	0.433438	+	0.433438i
$142$	5.89666	−	3.58988i	0.494837	−	0.301256i
$143$			36.4469i			3.04784i
$144$	−3.00639	+	2.13116i	−0.250532	+	0.177596i
$145$	5.31935	+	10.4083i	0.441748	+	0.864366i
$146$	11.3898	+	18.7086i	0.942626	+	1.54834i
$147$	−1.40023	+	1.40023i	−0.115489	+	0.115489i
$148$	−19.3179	+	6.15247i	−1.58792	+	0.505730i
$149$	1.42559	−	1.42559i	0.116789	−	0.116789i	−0.646297	−	0.763086i	$-0.723683\pi$
$149$	1.42559	−	1.42559i	0.116789	−	0.116789i	0.763086	+	0.646297i	$0.223683\pi$
$150$	9.08876	+	10.6517i	0.742094	+	0.869707i
$151$			15.9818i			1.30058i	0.759687	+	0.650289i	$0.225352\pi$
$151$			15.9818i			1.30058i	−0.759687	+	0.650289i	$0.774648\pi$
$152$	6.78762	+	5.90061i	0.550549	+	0.478602i
$153$	−1.22223			−0.0988115
$154$	−7.86840	−	1.91331i	−0.634053	−	0.154179i
$155$	−8.34597	−	2.70049i	−0.670364	−	0.216909i
$156$	22.3944	+	11.5755i	1.79299	+	0.926781i
$157$	−11.4314	+	11.4314i	−0.912322	+	0.912322i	−0.996455	−	0.0841328i	$-0.973188\pi$
$157$	−11.4314	+	11.4314i	−0.912322	+	0.912322i	0.0841328	+	0.996455i	$0.473188\pi$
$158$	6.48011	+	10.6441i	0.515530	+	0.846799i
$159$	−1.86891			−0.148214
$160$	−8.34263	+	9.50792i	−0.659543	+	0.751667i
$161$	1.34692			0.106152
$162$	−8.02703	−	13.1850i	−0.630663	−	1.03591i
$163$	4.33509	−	4.33509i	0.339551	−	0.339551i	−0.516648	−	0.856198i	$-0.672820\pi$
$163$	4.33509	−	4.33509i	0.339551	−	0.339551i	0.856198	+	0.516648i	$0.172820\pi$
$164$	−8.48027	−	4.38338i	−0.662198	−	0.342284i
$165$	−7.80530	+	24.1225i	−0.607642	+	1.87794i
$166$	−3.91588	−	0.952200i	−0.303931	−	0.0739051i
$167$	13.3829			1.03560			0.517802	−	0.855501i	$-0.326751\pi$
$167$	13.3829			1.03560			0.517802	+	0.855501i	$0.326751\pi$
$168$	−3.67461	+	4.22700i	−0.283502	+	0.326120i
$169$		−	27.5163i		−	2.11664i
$170$	−4.08101	+	0.972462i	−0.312999	+	0.0745844i
$171$	2.07146	−	2.07146i	0.158409	−	0.158409i
$172$	−6.77420	+	2.15749i	−0.516528	+	0.164507i
$173$	11.7056	−	11.7056i	0.889959	−	0.889959i	−0.104560	−	0.994519i	$-0.533343\pi$
$173$	11.7056	−	11.7056i	0.889959	−	0.889959i	0.994519	+	0.104560i	$0.0333433\pi$
$174$	7.61252	+	12.5042i	0.577103	+	0.947938i
$175$	4.05226	+	2.92903i	0.306322	+	0.221414i
$176$	−22.5784	−	3.84644i	−1.70191	−	0.289937i
$177$		−	16.3343i		−	1.22776i
$178$	12.5767	−	7.65669i	0.942666	−	0.573894i
$179$	−7.94217	−	7.94217i	−0.593626	−	0.593626i	0.344983	−	0.938609i	$-0.387885\pi$
$179$	−7.94217	−	7.94217i	−0.593626	−	0.593626i	−0.938609	+	0.344983i	$0.887885\pi$
$180$	2.89990	+	2.92674i	0.216146	+	0.218147i
$181$	−1.28567	+	1.28567i	−0.0955631	+	0.0955631i	−0.753272	−	0.657709i	$-0.771526\pi$
$181$	−1.28567	+	1.28567i	−0.0955631	+	0.0955631i	0.657709	+	0.753272i	$0.271526\pi$
$182$	8.74693	+	2.12694i	0.648365	+	0.157659i
$183$	−7.82285			−0.578282
$184$	3.80038	−	0.265679i	0.280168	−	0.0195861i
$185$	10.3153	+	20.1838i	0.758393	+	1.48394i
$186$	−10.6750	−	2.59577i	−0.782729	−	0.190331i
$187$	−5.37144	−	5.37144i	−0.392799	−	0.392799i
$188$	6.53054	+	3.37558i	0.476288	+	0.246189i
$189$	−2.91068	−	2.91068i	−0.211721	−	0.211721i
$190$	5.26844	−	8.56474i	0.382213	−	0.621351i
$191$	−14.8117			−1.07174			−0.535870	−	0.844300i	$-0.680016\pi$
$191$	−14.8117			−1.07174			−0.535870	+	0.844300i	$0.680016\pi$
$192$	−9.53428	+	12.6515i	−0.688078	+	0.913041i
$193$		−	24.0055i		−	1.72795i	−0.503532	−	0.863976i	$-0.667967\pi$
$193$		−	24.0055i		−	1.72795i	0.503532	−	0.863976i	$-0.332033\pi$
$194$	−8.77597	+	5.34280i	−0.630078	+	0.383590i
$195$	8.67678	−	26.8159i	0.621357	−	1.92033i
$196$	−0.918355	+	1.77669i	−0.0655968	+	0.126906i
$197$	−4.12251	−	4.12251i	−0.293716	−	0.293716i	0.544830	−	0.838546i	$-0.316594\pi$
$197$	−4.12251	−	4.12251i	−0.293716	−	0.293716i	−0.838546	+	0.544830i	$0.816594\pi$
$198$	−1.76270	+	7.24902i	−0.125270	+	0.515165i
$199$		−	25.9927i		−	1.84257i	−0.388887	−	0.921285i	$-0.627140\pi$
$199$		−	25.9927i		−	1.84257i	0.388887	−	0.921285i	$-0.372860\pi$
$200$	12.0114	+	7.46506i	0.849332	+	0.527860i
$201$			11.0936i			0.782484i
$202$	−10.3485	−	2.51638i	−0.728117	−	0.177052i
$203$	3.69634	+	3.69634i	0.259432	+	0.259432i
$204$	−5.00639	+	1.59447i	−0.350518	+	0.111635i
$205$	−3.28570	+	10.1546i	−0.229483	+	0.709226i
$206$	−2.71292	−	4.45619i	−0.189018	−	0.310477i
$207$		−	1.24089i		−	0.0862479i
$208$	25.0993	+	4.27591i	1.74033	+	0.296481i
$209$	18.2073			1.25942
$210$	5.33370	+	3.28093i	0.368060	+	0.226405i
$211$	−9.48093	−	9.48093i	−0.652694	−	0.652694i	0.300947	−	0.953641i	$-0.402697\pi$
$211$	−9.48093	−	9.48093i	−0.652694	−	0.652694i	−0.953641	+	0.300947i	$0.902697\pi$
$212$	−1.79856	+	0.572816i	−0.123525	+	0.0393412i
$213$	−6.83520	−	6.83520i	−0.468340	−	0.468340i
$214$	3.99185	−	16.4163i	0.272877	−	1.12219i
$215$	3.61726	+	7.07786i	0.246695	+	0.482706i
$216$	−8.78673	−	7.63847i	−0.597862	−	0.519732i
$217$	−3.92295			−0.266307
$218$	−0.0352353	+	0.144903i	−0.00238643	+	0.00981409i
$219$	21.6864	−	21.6864i	1.46543	−	1.46543i
$220$	−0.117980	+	25.6068i	−0.00795424	+	1.72641i
$221$	5.97118	+	5.97118i	0.401665	+	0.401665i
$222$	14.7622	+	24.2480i	0.990771	+	1.62742i
$223$			7.38728i			0.494689i	0.968928	+	0.247345i	$0.0795579\pi$
$223$			7.38728i			0.494689i	−0.968928	+	0.247345i	$0.920442\pi$
$224$	−2.24072	+	5.19415i	−0.149715	+	0.347049i
$225$	2.69846	−	3.73328i	0.179897	−	0.248885i
$226$	−12.1594	+	7.40264i	−0.808833	+	0.492416i
$227$	19.3354	−	19.3354i	1.28333	−	1.28333i	0.344576	−	0.938758i	$-0.388023\pi$
$227$	19.3354	−	19.3354i	1.28333	−	1.28333i	0.938758	−	0.344576i	$-0.111977\pi$
$228$	5.78261	−	11.1873i	0.382963	−	0.740897i
$229$	18.4231	−	18.4231i	1.21743	−	1.21743i	0.248903	−	0.968528i	$-0.419930\pi$
$229$	18.4231	−	18.4231i	1.21743	−	1.21743i	0.968528	−	0.248903i	$-0.0800700\pi$
$230$	−0.987309	−	4.14332i	−0.0651012	−	0.273202i
$231$			11.3386i			0.746026i
$232$	11.1585	+	9.70027i	0.732589	+	0.636854i
$233$	2.70279			0.177066			0.0885330	−	0.996073i	$-0.471782\pi$
$233$	2.70279			0.177066			0.0885330	+	0.996073i	$0.471782\pi$
$234$	1.95951	−	8.05839i	0.128097	−	0.526793i
$235$	2.53027	−	7.81990i	0.165057	−	0.510114i
$236$	−5.00643	−	15.7194i	−0.325891	−	1.02325i
$237$	12.3383	−	12.3383i	0.801456	−	0.801456i
$238$	−1.60256	+	0.975636i	−0.103879	+	0.0632411i
$239$	17.6069			1.13890			0.569448	−	0.822028i	$-0.307157\pi$
$239$	17.6069			1.13890			0.569448	+	0.822028i	$0.307157\pi$
$240$	15.6964	+	8.20519i	1.01320	+	0.529643i
$241$	7.11001			0.457996			0.228998	−	0.973427i	$-0.426455\pi$
$241$	7.11001			0.457996			0.228998	+	0.973427i	$0.426455\pi$
$242$	−26.3170	+	16.0217i	−1.69172	+	1.02992i
$243$	−6.55158	+	6.55158i	−0.420284	+	0.420284i
$244$	−7.52838	+	2.39769i	−0.481955	+	0.153496i
$245$	2.12747	+	0.688383i	0.135919	+	0.0439791i
$246$	−3.15829	+	12.9883i	−0.201365	+	0.828105i
$247$	−20.2402			−1.28785
$248$	−11.0688	+	0.773801i	−0.702868	+	0.0491364i
$249$			5.64290i			0.357604i
$250$	6.03976	−	14.6124i	0.381988	−	0.924167i
$251$	−3.54260	+	3.54260i	−0.223607	+	0.223607i	−0.810016	−	0.586408i	$-0.800541\pi$
$251$	−3.54260	+	3.54260i	−0.223607	+	0.223607i	0.586408	+	0.810016i	$0.300541\pi$
$252$	1.63683	+	0.846064i	0.103111	+	0.0532970i
$253$	5.45345	−	5.45345i	0.342856	−	0.342856i
$254$	−14.9318	+	9.09043i	−0.936902	+	0.570385i
$255$	2.67329	+	5.23081i	0.167408	+	0.327566i
$256$	−5.29775	+	15.0975i	−0.331109	+	0.943592i
$257$			6.46836i			0.403485i	0.979439	+	0.201743i	$0.0646604\pi$
$257$			6.46836i			0.403485i	−0.979439	+	0.201743i	$0.935340\pi$
$258$	5.17665	+	8.50306i	0.322284	+	0.529378i
$259$	7.16792	+	7.16792i	0.445393	+	0.445393i
$260$	0.131153	−	28.4659i	0.00813378	−	1.76538i
$261$	3.40537	−	3.40537i	0.210787	−	0.210787i
$262$	−0.292968	+	1.20482i	−0.0180996	+	0.0744338i
$263$	−12.5272			−0.772461			−0.386231	−	0.922402i	$-0.626223\pi$
$263$	−12.5272			−0.772461			−0.386231	+	0.922402i	$0.626223\pi$
$264$	2.23654	+	31.9923i	0.137649	+	1.96899i
$265$	0.960386	+	1.87918i	0.0589960	+	0.115437i
$266$	1.06253	−	4.36959i	0.0651476	−	0.267916i
$267$	−14.5785	−	14.5785i	−0.892190	−	0.892190i
$268$	3.40017	+	10.6760i	0.207699	+	0.652143i
$269$	9.22833	+	9.22833i	0.562661	+	0.562661i	0.930063	−	0.367401i	$-0.119752\pi$
$269$	9.22833	+	9.22833i	0.562661	+	0.562661i	−0.367401	+	0.930063i	$0.619752\pi$
$270$	−6.82012	+	11.0873i	−0.415059	+	0.674749i
$271$	−5.48855			−0.333406			−0.166703	−	0.986007i	$-0.553312\pi$
$271$	−5.48855			−0.333406			−0.166703	+	0.986007i	$0.553312\pi$
$272$	−4.32924	+	3.06890i	−0.262499	+	0.186079i
$273$		−	12.6046i		−	0.762865i
$274$	14.0395	+	23.0611i	0.848159	+	1.39317i
$275$	28.2661	−	4.54779i	1.70451	−	0.274242i
$276$	−1.61881	−	5.08283i	−0.0974411	−	0.305951i
$277$	18.8945	+	18.8945i	1.13526	+	1.13526i	0.989289	+	0.145969i	$0.0466299\pi$
$277$	18.8945	+	18.8945i	1.13526	+	1.13526i	0.145969	+	0.989289i	$0.453370\pi$
$278$	−27.6149	−	6.71496i	−1.65623	−	0.402736i
$279$			3.61415i			0.216373i
$280$	6.13853	+	1.52266i	0.366847	+	0.0909961i
$281$		−	25.7627i		−	1.53687i	−0.639926	−	0.768437i	$-0.721035\pi$
$281$		−	25.7627i		−	1.53687i	0.639926	−	0.768437i	$-0.278965\pi$
$282$	2.43216	−	10.0021i	0.144833	−	0.595618i
$283$	−5.08123	−	5.08123i	−0.302048	−	0.302048i	0.539767	−	0.841815i	$-0.318512\pi$
$283$	−5.08123	−	5.08123i	−0.302048	−	0.302048i	−0.841815	+	0.539767i	$0.818512\pi$
$284$	−8.67289	−	4.48294i	−0.514641	−	0.266013i
$285$	−13.3961	−	4.33454i	−0.793514	−	0.256756i
$286$	44.0265	−	26.8033i	2.60334	−	1.58491i
$287$			4.77308i			0.281746i
$288$	4.78528	+	2.06434i	0.281975	+	0.121642i
$289$	15.2400			0.896469
$290$	8.66102	−	14.0800i	0.508592	−	0.826803i
$291$	10.1728	+	10.1728i	0.596340	+	0.596340i
$292$	14.2232	−	27.5169i	0.832352	−	1.61031i
$293$	−7.99432	−	7.99432i	−0.467033	−	0.467033i	0.433919	−	0.900952i	$-0.357130\pi$
$293$	−7.99432	−	7.99432i	−0.467033	−	0.467033i	−0.900952	+	0.433919i	$0.857130\pi$
$294$	2.72116	+	0.661689i	0.158702	+	0.0385905i
$295$	−16.4241	+	8.39380i	−0.956248	+	0.488706i
$296$	21.6384	+	18.8107i	1.25771	+	1.09335i
$297$	−23.5698			−1.36766
$298$	−2.77045	−	0.673674i	−0.160488	−	0.0390249i
$299$	−6.06235	+	6.06235i	−0.350594	+	0.350594i
$300$	6.18294	−	18.8122i	0.356972	−	1.08612i
$301$	2.51358	+	2.51358i	0.144880	+	0.144880i
$302$	19.3054	−	11.7531i	1.11090	−	0.676315i
$303$			14.9125i			0.856701i
$304$	2.13606	−	12.5385i	0.122511	−	0.719135i
$305$	4.01997	+	7.86585i	0.230183	+	0.450397i
$306$	0.898836	+	1.47641i	0.0513830	+	0.0844008i
$307$	−21.8401	+	21.8401i	−1.24648	+	1.24648i	−0.289218	+	0.957263i	$0.593395\pi$
$307$	−21.8401	+	21.8401i	−1.24648	+	1.24648i	−0.957263	+	0.289218i	$0.906605\pi$
$308$	3.47526	+	10.9118i	0.198021	+	0.621758i
$309$	−5.16545	+	5.16545i	−0.293852	+	0.293852i
$310$	2.87558	+	12.0676i	0.163322	+	0.685393i
$311$			14.8333i			0.841122i	0.907264	+	0.420561i	$0.138167\pi$
$311$			14.8333i			0.841122i	−0.907264	+	0.420561i	$0.861833\pi$
$312$	−2.48625	−	35.5644i	−0.140756	−	2.01344i
$313$	9.17359			0.518522			0.259261	−	0.965807i	$-0.416521\pi$
$313$	9.17359			0.518522			0.259261	+	0.965807i	$0.416521\pi$
$314$	22.2154	+	5.40198i	1.25369	+	0.304851i
$315$	0.634195	−	1.96000i	0.0357328	−	0.110434i
$316$	8.09218	−	15.6555i	0.455220	−	0.880690i
$317$	24.5174	−	24.5174i	1.37703	−	1.37703i	0.527440	−	0.849592i	$-0.323152\pi$
$317$	24.5174	−	24.5174i	1.37703	−	1.37703i	0.849592	−	0.527440i	$-0.176848\pi$
$318$	1.37441	+	2.25757i	0.0770728	+	0.126598i
$319$	29.9318			1.67586
$320$	17.6204	+	3.08542i	0.985013	+	0.172480i
$321$	−23.6564			−1.32037
$322$	−0.990532	−	1.62703i	−0.0552002	−	0.0906707i
$323$	2.98294	−	2.98294i	0.165975	−	0.165975i
$324$	−10.0239	+	19.3927i	−0.556884	+	1.07737i
$325$	−31.4221	+	5.05556i	−1.74298	+	0.280432i
$326$	−8.42469	−	2.04858i	−0.466601	−	0.113460i
$327$	0.208810			0.0115472
$328$	0.941487	+	13.4674i	0.0519849	+	0.743614i
$329$		−	3.67568i		−	0.202647i
$330$	34.8792	−	8.31136i	1.92004	−	0.457525i
$331$	−10.6171	+	10.6171i	−0.583568	+	0.583568i	−0.935882	−	0.352314i	$-0.885395\pi$
$331$	−10.6171	+	10.6171i	−0.583568	+	0.583568i	0.352314	+	0.935882i	$0.385395\pi$
$332$	1.72954	+	5.43049i	0.0949208	+	0.298037i
$333$	6.60368	−	6.60368i	0.361879	−	0.361879i
$334$	−9.84190	−	16.1661i	−0.538525	−	0.884570i
$335$	11.1546	−	5.70075i	0.609441	−	0.311465i
$336$	7.80839	+	1.33023i	0.425983	+	0.0725702i
$337$			28.3782i			1.54586i	0.634490	+	0.772931i	$0.281210\pi$
$337$			28.3782i			1.54586i	−0.634490	+	0.772931i	$0.718790\pi$
$338$	−33.2387	+	20.2357i	−1.80795	+	1.10067i
$339$	14.0948	+	14.0948i	0.765523	+	0.765523i
$340$	4.17590	+	4.21456i	0.226470	+	0.228566i
$341$	−15.8834	+	15.8834i	−0.860135	+	0.860135i
$342$	−4.02562	−	0.978886i	−0.217681	−	0.0529321i
$343$	1.00000			0.0539949
$344$	7.58796	+	6.59636i	0.409116	+	0.355652i
$345$	−5.31068	+	2.71411i	−0.285917	+	0.146123i
$346$	−22.7483	−	5.53156i	−1.22296	−	0.297379i
$347$	−17.7066	−	17.7066i	−0.950542	−	0.950542i	0.0482916	−	0.998833i	$-0.484622\pi$
$347$	−17.7066	−	17.7066i	−0.950542	−	0.950542i	−0.998833	+	0.0482916i	$0.984622\pi$
$348$	9.50629	−	18.3913i	0.509591	−	0.985877i
$349$	−8.29813	−	8.29813i	−0.444189	−	0.444189i	0.449228	−	0.893417i	$-0.351699\pi$
$349$	−8.29813	−	8.29813i	−0.444189	−	0.444189i	−0.893417	+	0.449228i	$0.851699\pi$
$350$	0.558101	−	7.04901i	0.0298318	−	0.376785i
$351$	26.2014			1.39853
$352$	11.9579	+	30.1026i	0.637360	+	1.60447i
$353$			12.6809i			0.674935i	0.941337	+	0.337468i	$0.109570\pi$
$353$			12.6809i			0.674935i	−0.941337	+	0.337468i	$0.890430\pi$
$354$	−19.7312	+	12.0123i	−1.04870	+	0.638449i
$355$	−3.36033	+	10.3852i	−0.178348	+	0.551190i
$356$	−18.4980	−	9.56146i	−0.980393	−	0.506756i
$357$	1.85763	+	1.85763i	0.0983162	+	0.0983162i
$358$	−3.75313	+	15.4346i	−0.198359	+	0.815743i
$359$			2.54598i			0.134372i	0.997740	+	0.0671858i	$0.0214020\pi$
$359$			2.54598i			0.134372i	−0.997740	+	0.0671858i	$0.978598\pi$
$360$	1.40280	−	5.65532i	0.0739339	−	0.298061i
$361$		−	8.88888i		−	0.467836i
$362$	2.49853	+	0.607553i	0.131320	+	0.0319323i
$363$	30.5057	+	30.5057i	1.60113	+	1.60113i
$364$	−3.86328	−	12.1301i	−0.202491	−	0.635792i
$365$	−32.9497	−	10.6615i	−1.72467	−	0.558048i
$366$	5.75297	+	9.44972i	0.300713	+	0.493945i
$367$		−	23.9721i		−	1.25134i	−0.780090	−	0.625668i	$-0.784827\pi$
$367$		−	23.9721i		−	1.25134i	0.780090	−	0.625668i	$-0.215173\pi$
$368$	−3.11576	−	4.39534i	−0.162420	−	0.229123i
$369$	4.39735			0.228917
$370$	16.7954	−	27.3038i	0.873151	−	1.41946i
$371$	0.667357	+	0.667357i	0.0346475	+	0.0346475i
$372$	4.71486	+	14.8040i	0.244454	+	0.767550i
$373$	11.5110	+	11.5110i	0.596019	+	0.596019i	0.939251	−	0.343232i	$-0.111522\pi$
$373$	11.5110	+	11.5110i	0.596019	+	0.596019i	−0.343232	+	0.939251i	$0.611522\pi$
$374$	−2.53831	+	10.4387i	−0.131253	+	0.539772i
$375$	−21.8795	−	3.38317i	−1.12985	−	0.174706i
$376$	−0.725026	−	10.3711i	−0.0373904	−	0.534847i
$377$	−33.2737			−1.71368
$378$	−1.37546	+	5.65653i	−0.0707462	+	0.290941i
$379$	−12.4669	+	12.4669i	−0.640384	+	0.640384i	−0.950650	−	0.310266i	$-0.899582\pi$
$379$	−12.4669	+	12.4669i	−0.640384	+	0.640384i	0.310266	+	0.950650i	$0.399582\pi$
$380$	−14.2203	−	0.0655185i	−0.729488	−	0.00336103i
$381$	17.3084	+	17.3084i	0.886735	+	0.886735i
$382$	10.8927	+	17.8921i	0.557317	+	0.915438i
$383$		−	16.7351i		−	0.855126i	−0.903986	−	0.427563i	$-0.859372\pi$
$383$		−	16.7351i		−	0.855126i	0.903986	−	0.427563i	$-0.140628\pi$
$384$	22.2941	+	2.21311i	1.13769	+	0.112937i
$385$	11.4009	−	5.82664i	0.581046	−	0.296953i
$386$	−28.9978	+	17.6538i	−1.47595	+	0.898554i
$387$	2.31572	−	2.31572i	0.117714	−	0.117714i
$388$	12.9078	+	6.67193i	0.655295	+	0.338716i
$389$	−19.9070	+	19.9070i	−1.00933	+	1.00933i	−0.00937109	+	0.999956i	$0.502983\pi$
$389$	−19.9070	+	19.9070i	−1.00933	+	1.00933i	−0.999956	+	0.00937109i	$0.997017\pi$
$390$	−38.7736	+	9.23934i	−1.96338	+	0.467852i
$391$		−	1.78690i		−	0.0903676i
$392$	2.82154	−	0.197250i	0.142509	−	0.00996261i
$393$	1.73618			0.0875786
$394$	−1.94812	+	8.01156i	−0.0981449	+	0.403616i
$395$	−18.7464	−	6.06575i	−0.943235	−	0.305201i
$396$	10.0529	−	3.20170i	0.505175	−	0.160891i
$397$	0.931119	−	0.931119i	0.0467315	−	0.0467315i	−0.683355	−	0.730086i	$-0.739480\pi$
$397$	0.931119	−	0.931119i	0.0467315	−	0.0467315i	0.730086	+	0.683355i	$0.239480\pi$
$398$	−31.3982	+	19.1152i	−1.57385	+	0.958157i
$399$	−6.29671			−0.315230
$400$	0.184291	−	19.9992i	0.00921457	−	0.999958i
$401$	−14.9947			−0.748801			−0.374400	−	0.927267i	$-0.622151\pi$
$401$	−14.9947			−0.748801			−0.374400	+	0.927267i	$0.622151\pi$
$402$	13.4007	−	8.15832i	0.668366	−	0.406900i
$403$	17.6568	−	17.6568i	0.879550	−	0.879550i
$404$	4.57065	+	14.3512i	0.227398	+	0.713997i
$405$	23.2215	+	7.51375i	1.15389	+	0.373361i
$406$	1.74673	−	7.18335i	0.0866889	−	0.356504i
$407$	58.0435			2.87711
$408$	5.60780	+	4.87496i	0.277627	+	0.241347i
$409$		−	21.9929i		−	1.08748i	−0.839254	−	0.543740i	$-0.817008\pi$
$409$		−	21.9929i		−	1.08748i	0.839254	−	0.543740i	$-0.182992\pi$
$410$	14.6827	−	3.49873i	0.725126	−	0.172790i
$411$	26.7316	−	26.7316i	1.31857	−	1.31857i
$412$	−3.38782	+	6.55422i	−0.166906	+	0.322903i
$413$	−5.83272	+	5.83272i	−0.287010	+	0.287010i
$414$	−1.49895	+	0.912560i	−0.0736695	+	0.0448499i
$415$	5.67392	−	2.89975i	0.278522	−	0.142343i
$416$	−13.2931	−	33.4636i	−0.651747	−	1.64069i
$417$			39.7940i			1.94872i
$418$	−13.3898	−	21.9937i	−0.654914	−	1.07575i
$419$	−9.51907	−	9.51907i	−0.465037	−	0.465037i	0.435265	−	0.900302i	$-0.356655\pi$
$419$	−9.51907	−	9.51907i	−0.465037	−	0.465037i	−0.900302	+	0.435265i	$0.856655\pi$
$420$	0.0408017	−	8.85573i	0.00199092	−	0.432115i
$421$	−6.13956	+	6.13956i	−0.299224	+	0.299224i	−0.840710	−	0.541486i	$-0.817862\pi$
$421$	−6.13956	+	6.13956i	−0.299224	+	0.299224i	0.541486	+	0.840710i	$0.317862\pi$
$422$	−4.48028	+	18.4250i	−0.218097	+	0.896913i
$423$	−3.38634			−0.164649
$424$	2.01461	+	1.75134i	0.0978382	+	0.0850526i
$425$	3.88583	−	5.37598i	0.188490	−	0.260773i
$426$	−3.23003	+	13.2833i	−0.156495	+	0.643579i
$427$	2.79342	+	2.79342i	0.135183	+	0.135183i
$428$	−22.7659	+	7.25064i	−1.10043	+	0.350473i
$429$	−51.0340	−	51.0340i	−2.46394	−	2.46394i
$430$	5.88965	−	9.57463i	0.284024	−	0.461729i
$431$	−23.9312			−1.15273			−0.576363	−	0.817194i	$-0.695528\pi$
$431$	−23.9312			−1.15273			−0.576363	+	0.817194i	$0.695528\pi$
$432$	−2.76518	+	16.2314i	−0.133040	+	0.780936i
$433$		−	6.81182i		−	0.327355i	−0.986514	−	0.163678i	$-0.947664\pi$
$433$		−	6.81182i		−	0.327355i	0.986514	−	0.163678i	$-0.0523357\pi$
$434$	2.88497	+	4.73879i	0.138483	+	0.227469i
$435$	−22.0224	−	7.12575i	−1.05589	−	0.341654i
$436$	0.200950	−	0.0639999i	0.00962377	−	0.00306504i
$437$	3.02849	+	3.02849i	0.144872	+	0.144872i
$438$	−42.1447	−	10.2481i	−2.01375	−	0.489672i
$439$			23.3811i			1.11592i	0.829867	+	0.557961i	$0.188416\pi$
$439$			23.3811i			1.11592i	−0.829867	+	0.557961i	$0.811584\pi$
$440$	31.0189	−	18.6889i	1.47877	−	0.890959i
$441$		−	0.921283i		−	0.0438706i
$442$	2.82172	−	11.6042i	0.134216	−	0.551956i
$443$	−6.65765	−	6.65765i	−0.316315	−	0.316315i	0.531035	−	0.847350i	$-0.321803\pi$
$443$	−6.65765	−	6.65765i	−0.316315	−	0.316315i	−0.847350	+	0.531035i	$0.821803\pi$
$444$	18.4345	−	35.6643i	0.874865	−	1.69255i
$445$	−7.16710	+	22.1502i	−0.339753	+	1.05002i
$446$	8.92357	−	5.43266i	0.422543	−	0.257244i
$447$			3.99231i			0.188830i
$448$	7.92219	−	1.11310i	0.374288	−	0.0525888i
$449$	7.30902			0.344934			0.172467	−	0.985015i	$-0.444826\pi$
$449$	7.30902			0.344934			0.172467	+	0.985015i	$0.444826\pi$
$450$	−6.49413	−	0.514169i	−0.306136	−	0.0242382i
$451$	19.3254	+	19.3254i	0.909998	+	0.909998i
$452$	17.8842	+	9.24420i	0.841204	+	0.434811i
$453$	−22.3781	−	22.3781i	−1.05142	−	1.05142i
$454$	−37.5758	−	9.13708i	−1.76352	−	0.428825i
$455$	−12.6739	+	6.47720i	−0.594161	+	0.303656i
$456$	−17.7664	+	1.24202i	−0.831989	+	0.0581631i
$457$	23.8589			1.11607			0.558035	−	0.829817i	$-0.311555\pi$
$457$	23.8589			1.11607			0.558035	+	0.829817i	$0.311555\pi$
$458$	−35.8029	−	8.70597i	−1.67296	−	0.406803i
$459$	−3.86149	+	3.86149i	−0.180239	+	0.180239i
$460$	−4.27890	+	4.23966i	−0.199505	+	0.197675i
$461$	0.209099	+	0.209099i	0.00973873	+	0.00973873i	0.711959	−	0.702221i	$-0.247808\pi$
$461$	0.209099	+	0.209099i	0.00973873	+	0.00973873i	−0.702221	+	0.711959i	$0.747808\pi$
$462$	13.6966	−	8.33848i	0.637225	−	0.387941i
$463$			35.3914i			1.64478i	0.568925	+	0.822389i	$0.307359\pi$
$463$			35.3914i			1.64478i	−0.568925	+	0.822389i	$0.692641\pi$
$464$	3.51156	−	20.6127i	0.163020	−	0.956919i
$465$	15.4676	−	7.90496i	0.717291	−	0.366584i
$466$	−1.98765	−	3.26488i	−0.0920762	−	0.151243i
$467$	−17.8403	+	17.8403i	−0.825552	+	0.825552i	−0.986898	−	0.161346i	$-0.948416\pi$
$467$	−17.8403	+	17.8403i	−0.825552	+	0.825552i	0.161346	+	0.986898i	$0.448416\pi$
$468$	−11.1753	+	3.55918i	−0.516578	+	0.164523i
$469$	3.96136	−	3.96136i	0.182919	−	0.182919i
$470$	−11.3069	+	2.69432i	−0.521550	+	0.124280i
$471$		−	32.0130i		−	1.47508i
$472$	−15.3068	+	17.6078i	−0.704551	+	0.810463i
$473$	20.3541			0.935885
$474$	−23.9778	−	5.83054i	−1.10134	−	0.267806i
$475$	2.52554	+	15.6971i	0.115880	+	0.720233i
$476$	2.35707	+	1.21835i	0.108036	+	0.0558428i
$477$	0.614825	−	0.614825i	0.0281509	−	0.0281509i
$478$	−12.9482	−	21.2685i	−0.592238	−	0.972799i
$479$	−3.60801			−0.164854			−0.0824270	−	0.996597i	$-0.526267\pi$
$479$	−3.60801			−0.164854			−0.0824270	+	0.996597i	$0.526267\pi$
$480$	−1.63167	−	24.9949i	−0.0744750	−	1.14085i
$481$	−64.5242			−2.94205
$482$	−5.22875	−	8.58864i	−0.238163	−	0.391202i
$483$	−1.88599	+	1.88599i	−0.0858156	+	0.0858156i
$484$	38.7073	+	20.0075i	1.75942	+	0.909430i
$485$	5.00116	−	15.4563i	0.227091	−	0.701833i
$486$	12.7321	+	3.09600i	0.577542	+	0.140437i
$487$	−26.1207			−1.18364			−0.591821	−	0.806070i	$-0.701591\pi$
$487$	−26.1207			−1.18364			−0.591821	+	0.806070i	$0.701591\pi$
$488$	8.43274	+	7.33074i	0.381732	+	0.331847i
$489$			12.1402i			0.549001i
$490$	−0.733014	−	3.07615i	−0.0331142	−	0.138966i
$491$	17.8290	−	17.8290i	0.804612	−	0.804612i	−0.179201	−	0.983813i	$-0.557351\pi$
$491$	17.8290	−	17.8290i	0.804612	−	0.804612i	0.983813	+	0.179201i	$0.0573512\pi$
$492$	18.0121	−	5.73659i	0.812046	−	0.258626i
$493$	4.90379	−	4.90379i	0.220856	−	0.220856i
$494$	14.8848	+	24.4494i	0.669697	+	1.10003i
$495$	−5.36798	−	10.5035i	−0.241273	−	0.472097i
$496$	9.07477	+	12.8016i	0.407469	+	0.574810i
$497$			4.88149i			0.218965i
$498$	6.81643	−	4.14983i	0.305451	−	0.185958i
$499$	−20.0254	−	20.0254i	−0.896460	−	0.896460i	0.0986614	−	0.995121i	$-0.468544\pi$
$499$	−20.0254	−	20.0254i	−0.896460	−	0.896460i	−0.995121	+	0.0986614i	$0.968544\pi$
$500$	−22.0929	+	3.45022i	−0.988024	+	0.154299i
$501$	−18.7392	+	18.7392i	−0.837205	+	0.837205i
$502$	6.88459	+	1.67408i	0.307274	+	0.0747180i
$503$	29.9750			1.33652			0.668260	−	0.743927i	$-0.267039\pi$
$503$	29.9750			1.33652			0.668260	+	0.743927i	$0.267039\pi$
$504$	−0.181723	−	2.59944i	−0.00809457	−	0.115788i
$505$	14.9945	−	7.66317i	0.667245	−	0.341007i
$506$	−10.5981	−	2.57707i	−0.471142	−	0.114565i
$507$	38.5291	+	38.5291i	1.71114	+	1.71114i
$508$	21.9618	+	11.3519i	0.974399	+	0.503658i
$509$	19.4867	+	19.4867i	0.863732	+	0.863732i	0.991769	−	0.128037i	$-0.0408677\pi$
$509$	19.4867	+	19.4867i	0.863732	+	0.863732i	−0.128037	+	0.991769i	$0.540868\pi$
$510$	4.35268	−	7.07602i	0.192740	−	0.313331i
$511$	−15.4877			−0.685138
$512$	22.1332	−	4.70329i	0.978159	−	0.207858i
$513$		−	13.0891i		−	0.577897i
$514$	7.81354	−	4.75687i	0.344641	−	0.209817i
$515$	7.84825	+	2.53945i	0.345835	+	0.111901i
$516$	6.46445	−	12.5064i	0.284582	−	0.550564i
$517$	−14.8822	−	14.8822i	−0.654520	−	0.654520i
$518$	3.38725	−	13.9299i	0.148827	−	0.612046i
$519$			32.7810i			1.43893i
$520$	−34.4823	+	20.7756i	−1.51215	+	0.911070i
$521$		−	32.3217i		−	1.41604i	−0.706194	−	0.708019i	$-0.749589\pi$
$521$		−	32.3217i		−	1.41604i	0.706194	−	0.708019i	$-0.250411\pi$
$522$	−6.61790	−	1.60923i	−0.289658	−	0.0704343i
$523$	0.507514	+	0.507514i	0.0221920	+	0.0221920i	0.718116	−	0.695924i	$-0.245005\pi$
$523$	0.507514	+	0.507514i	0.0221920	+	0.0221920i	−0.695924	+	0.718116i	$0.745005\pi$
$524$	1.67083	−	0.532135i	0.0729903	−	0.0232464i
$525$	−9.77540	+	1.57278i	−0.426633	+	0.0686419i
$526$	9.21260	+	15.1324i	0.401688	+	0.659805i
$527$			5.20443i			0.226709i
$528$	37.0008	−	26.2290i	1.61025	−	1.14147i
$529$	−21.1858			−0.921122
$530$	1.56371	−	2.54207i	0.0679231	−	0.110421i
$531$	5.37359	+	5.37359i	0.233194	+	0.233194i
$532$	−6.05969	+	1.92993i	−0.262721	+	0.0836730i
$533$	−21.4832	−	21.4832i	−0.930539	−	0.930539i
$534$	−6.88918	+	28.3314i	−0.298124	+	1.22602i
$535$	12.1564	+	23.7864i	0.525569	+	1.02838i
$536$	10.3958	−	11.9585i	0.449029	−	0.516529i
$537$	22.2417			0.959801
$538$	4.36092	−	17.9341i	0.188013	−	0.773193i
$539$	4.04884	−	4.04884i	0.174396	−	0.174396i
$540$	18.4086	+	0.0848153i	0.792178	+	0.00364987i
$541$	3.53210	+	3.53210i	0.151857	+	0.151857i	0.778947	−	0.627090i	$-0.215754\pi$
$541$	3.53210	+	3.53210i	0.151857	+	0.151857i	−0.627090	+	0.778947i	$0.715754\pi$
$542$	4.03632	+	6.62997i	0.173375	+	0.284782i
$543$		−	3.60047i		−	0.154511i
$544$	6.89087	+	2.97268i	0.295444	+	0.127453i
$545$	−0.107303	−	0.209958i	−0.00459633	−	0.00899362i
$546$	−15.2259	+	9.26950i	−0.651608	+	0.396698i
$547$	−13.6708	+	13.6708i	−0.584519	+	0.584519i	−0.936142	−	0.351623i	$-0.885630\pi$
$547$	−13.6708	+	13.6708i	−0.584519	+	0.584519i	0.351623	+	0.936142i	$0.385630\pi$
$548$	17.5322	−	33.9185i	0.748937	−	1.44893i
$549$	2.57353	−	2.57353i	0.109835	−	0.109835i
$550$	−26.2806	−	30.8000i	−1.12061	−	1.31332i
$551$			16.6221i			0.708126i
$552$	−4.94939	+	5.69342i	−0.210660	+	0.242328i
$553$	−8.81160			−0.374708
$554$	8.92872	−	36.7189i	0.379345	−	1.56004i
$555$	−42.7057	−	13.8182i	−1.81276	−	0.586551i
$556$	12.1968	+	38.2961i	0.517259	+	1.62412i
$557$	−2.04228	+	2.04228i	−0.0865342	+	0.0865342i	−0.749049	−	0.662515i	$-0.769489\pi$
$557$	−2.04228	+	2.04228i	−0.0865342	+	0.0865342i	0.662515	+	0.749049i	$0.269489\pi$
$558$	4.36576	−	2.65787i	0.184817	−	0.112517i
$559$	−22.6267			−0.957009
$560$	−2.67500	−	8.53489i	−0.113039	−	0.360665i
$561$	15.0425			0.635095
$562$	−31.1204	+	18.9461i	−1.31274	+	0.799191i
$563$	−12.0964	+	12.0964i	−0.509804	+	0.509804i	−0.914466	−	0.404662i	$-0.867389\pi$
$563$	−12.0964	+	12.0964i	−0.509804	+	0.509804i	0.404662	+	0.914466i	$0.367389\pi$
$564$	−13.8708	+	4.41767i	−0.584067	+	0.186017i
$565$	6.92929	−	21.4152i	0.291517	−	0.900945i
$566$	−2.40117	+	9.87471i	−0.100929	+	0.415065i
$567$	10.9151			0.458391
$568$	0.962871	+	13.7733i	0.0404012	+	0.577915i
$569$		−	15.3437i		−	0.643241i	−0.946869	−	0.321621i	$-0.895772\pi$
$569$		−	15.3437i		−	0.643241i	0.946869	−	0.321621i	$-0.104228\pi$
$570$	4.61558	+	19.3696i	0.193325	+	0.811304i
$571$	1.81459	−	1.81459i	0.0759383	−	0.0759383i	−0.668118	−	0.744056i	$-0.732900\pi$
$571$	1.81459	−	1.81459i	0.0759383	−	0.0759383i	0.744056	+	0.668118i	$0.232900\pi$
$572$	−64.7548	−	33.4712i	−2.70753	−	1.39950i
$573$	20.7398	−	20.7398i	0.866419	−	0.866419i
$574$	5.76570	−	3.51015i	0.240656	−	0.146511i
$575$	5.45806	+	3.94516i	0.227617	+	0.164524i
$576$	−1.02548	−	7.29857i	−0.0427282	−	0.304107i
$577$		−	31.3857i		−	1.30660i	−0.757097	−	0.653302i	$-0.773383\pi$
$577$		−	31.3857i		−	1.30660i	0.757097	−	0.653302i	$-0.226617\pi$
$578$	−11.2076	−	18.4093i	−0.466174	−	0.765727i
$579$	33.6132	+	33.6132i	1.39692	+	1.39692i
$580$	−23.3774	−	0.107709i	−0.970695	−	0.00447236i
$581$	2.01499	−	2.01499i	0.0835960	−	0.0835960i
$582$	4.80723	−	19.7695i	0.199266	−	0.819472i
$583$	5.40404			0.223813
$584$	−43.6993	+	3.05495i	−1.80829	+	0.126415i
$585$	5.96733	+	11.6762i	0.246719	+	0.482753i
$586$	−3.77778	+	15.5359i	−0.156058	+	0.641783i
$587$	11.5700	+	11.5700i	0.477544	+	0.477544i	0.904345	−	0.426801i	$-0.140360\pi$
$587$	11.5700	+	11.5700i	0.477544	+	0.477544i	−0.426801	+	0.904345i	$0.640360\pi$
$588$	−1.20187	−	3.77368i	−0.0495641	−	0.155624i
$589$	−8.82059	−	8.82059i	−0.363446	−	0.363446i
$590$	22.2178	+	13.6669i	0.914692	+	0.562656i
$591$	11.5449			0.474894
$592$	6.80960	−	39.9720i	0.279873	−	1.64284i
$593$		−	11.0006i		−	0.451740i	−0.974157	−	0.225870i	$-0.927477\pi$
$593$		−	11.0006i		−	0.451740i	0.974157	−	0.225870i	$-0.0725225\pi$
$594$	17.3334	+	28.4714i	0.711196	+	1.16820i
$595$	0.913251	−	2.82243i	0.0374396	−	0.115708i
$596$	1.22364	+	3.84203i	0.0501220	+	0.157376i
$597$	36.3957	+	36.3957i	1.48958	+	1.48958i
$598$	11.7814	+	2.86481i	0.481777	+	0.117151i
$599$		−	28.8585i		−	1.17913i	−0.807722	−	0.589564i	$-0.799300\pi$
$599$		−	28.8585i		−	1.17913i	0.807722	−	0.589564i	$-0.200700\pi$
$600$	−27.2715	+	6.36586i	−1.11335	+	0.259885i
$601$		−	34.4362i		−	1.40468i	−0.711842	−	0.702340i	$-0.752139\pi$
$601$		−	34.4362i		−	1.40468i	0.711842	−	0.702340i	$-0.247861\pi$
$602$	1.18781	−	4.88481i	0.0484115	−	0.199090i
$603$	−3.64953	−	3.64953i	−0.148620	−	0.148620i
$604$	−28.3947	−	14.6769i	−1.15536	−	0.597196i
$605$	14.9972	−	46.3495i	0.609725	−	1.88438i
$606$	18.0138	−	10.9667i	0.731759	−	0.445494i
$607$		−	20.8356i		−	0.845692i	−0.906202	−	0.422846i	$-0.861031\pi$
$607$		−	20.8356i		−	0.845692i	0.906202	−	0.422846i	$-0.138969\pi$
$608$	−16.7170	+	6.64064i	−0.677963	+	0.269314i
$609$	−10.3514			−0.419461
$610$	6.54535	−	10.6406i	0.265014	−	0.430825i
$611$	16.5439	+	16.5439i	0.669294	+	0.669294i
$612$	1.12244	−	2.17152i	0.0453720	−	0.0877786i
$613$	19.3506	+	19.3506i	0.781564	+	0.781564i	0.980095	−	0.198531i	$-0.0636169\pi$
$613$	19.3506	+	19.3506i	0.781564	+	0.781564i	−0.198531	+	0.980095i	$0.563617\pi$
$614$	42.4434	+	10.3207i	1.71288	+	0.416510i
$615$	−9.61800	−	18.8195i	−0.387835	−	0.758874i
$616$	10.6253	−	12.2226i	0.428107	−	0.492463i
$617$	27.8408			1.12083			0.560414	−	0.828213i	$-0.310642\pi$
$617$	27.8408			1.12083			0.560414	+	0.828213i	$0.310642\pi$
$618$	10.0384	+	2.44097i	0.403803	+	0.0981904i
$619$	−17.7523	+	17.7523i	−0.713527	+	0.713527i	−0.967271	−	0.253744i	$-0.918338\pi$
$619$	−17.7523	+	17.7523i	−0.713527	+	0.713527i	0.253744	+	0.967271i	$0.418338\pi$
$620$	12.4625	−	12.3482i	0.500506	−	0.495915i
$621$	−3.92045	−	3.92045i	−0.157322	−	0.157322i
$622$	17.9182	−	10.9085i	0.718452	−	0.437393i
$623$			10.4115i			0.417128i
$624$	−41.1321	+	29.1576i	−1.64660	+	1.16724i
$625$	7.84161	+	23.7383i	0.313664	+	0.949534i
$626$	−6.74632	−	11.0814i	−0.269637	−	0.442901i
$627$	−25.4944	+	25.4944i	−1.01815	+	1.01815i
$628$	−9.81193	−	30.8080i	−0.391539	−	1.22937i
$629$	9.50940	−	9.50940i	0.379165	−	0.379165i
$630$	−2.83400	+	0.675313i	−0.112909	+	0.0269051i
$631$		−	23.1570i		−	0.921867i	−0.887435	−	0.460934i	$-0.847515\pi$
$631$		−	23.1570i		−	0.921867i	0.887435	−	0.460934i	$-0.152485\pi$
$632$	−24.8623	+	1.73809i	−0.988969	+	0.0691373i
$633$	26.5509			1.05530
$634$	−47.6463	−	11.5859i	−1.89228	−	0.460133i
$635$	8.50917	−	26.2979i	0.337676	−	1.04360i
$636$	1.71632	−	3.32047i	0.0680564	−	0.131665i
$637$	−4.50090	+	4.50090i	−0.178332	+	0.178332i
$638$	−22.0120	−	36.1565i	−0.871464	−	1.43145i
$639$	4.49723			0.177908
$640$	−9.23112	−	23.5539i	−0.364892	−	0.931050i
$641$	−21.0231			−0.830362			−0.415181	−	0.909739i	$-0.636282\pi$
$641$	−21.0231			−0.830362			−0.415181	+	0.909739i	$0.636282\pi$
$642$	17.3971	+	28.5761i	0.686607	+	1.12781i
$643$	1.16322	−	1.16322i	0.0458730	−	0.0458730i	−0.683798	−	0.729671i	$-0.739673\pi$
$643$	1.16322	−	1.16322i	0.0458730	−	0.0458730i	0.729671	+	0.683798i	$0.239673\pi$
$644$	−1.23695	+	2.39305i	−0.0487426	+	0.0942995i
$645$	−14.9756	−	4.84564i	−0.589664	−	0.190797i
$646$	−5.79696	−	1.40961i	−0.228078	−	0.0554604i
$647$	−12.3903			−0.487114			−0.243557	−	0.969887i	$-0.578314\pi$
$647$	−12.3903			−0.487114			−0.243557	+	0.969887i	$0.578314\pi$
$648$	30.7974	−	2.15300i	1.20983	−	0.0845777i
$649$			47.2315i			1.85400i
$650$	29.2150	+	34.2389i	1.14590	+	1.34296i
$651$	5.49303	−	5.49303i	0.215289	−	0.215289i
$652$	3.72096	+	11.6833i	0.145724	+	0.457552i
$653$	−23.8412	+	23.8412i	−0.932977	+	0.932977i	−0.997891	−	0.0649143i	$-0.979323\pi$
$653$	−23.8412	+	23.8412i	−0.932977	+	0.932977i	0.0649143	+	0.997891i	$0.479323\pi$
$654$	−0.153560	−	0.252235i	−0.00600469	−	0.00986318i
$655$	−0.892180	−	1.74572i	−0.0348604	−	0.0682110i
$656$	15.5758	−	11.0413i	0.608133	−	0.431091i
$657$			14.2686i			0.556671i
$658$	−4.44009	+	2.70312i	−0.173093	+	0.105379i
$659$	−10.3979	−	10.3979i	−0.405045	−	0.405045i	0.474961	−	0.880007i	$-0.342462\pi$
$659$	−10.3979	−	10.3979i	−0.405045	−	0.405045i	−0.880007	+	0.474961i	$0.842462\pi$
$660$	−35.6902	−	36.0206i	−1.38924	−	1.40210i
$661$	13.0172	−	13.0172i	0.506312	−	0.506312i	−0.407081	−	0.913392i	$-0.633453\pi$
$661$	13.0172	−	13.0172i	0.506312	−	0.506312i	0.913392	+	0.407081i	$0.133453\pi$
$662$	20.6330	+	5.01719i	0.801923	+	0.194999i
$663$	−16.7220			−0.649430
$664$	5.28793	−	6.08284i	0.205211	−	0.236060i
$665$	3.23573	+	6.33132i	0.125476	+	0.245518i
$666$	−12.8334	−	3.12062i	−0.497284	−	0.120922i
$667$	4.97866	+	4.97866i	0.192774	+	0.192774i
$668$	−12.2903	+	23.7773i	−0.475525	+	0.919972i
$669$	−10.3439	−	10.3439i	−0.399918	−	0.399918i
$670$	−15.0895	−	9.28200i	−0.582957	−	0.358595i
$671$	22.6202			0.873243
$672$	−4.13547	−	10.4105i	−0.159529	−	0.401595i
$673$		−	24.4494i		−	0.942456i	−0.882011	−	0.471228i	$-0.843811\pi$
$673$		−	24.4494i		−	0.942456i	0.882011	−	0.471228i	$-0.156189\pi$
$674$	34.2799	−	20.8695i	1.32041	−	0.803865i
$675$	−3.26937	−	20.3203i	−0.125838	−	0.782128i
$676$	48.8879	+	25.2697i	1.88030	+	0.971912i
$677$	12.7129	+	12.7129i	0.488598	+	0.488598i	0.907864	−	0.419266i	$-0.137712\pi$
$677$	12.7129	+	12.7129i	0.488598	+	0.488598i	−0.419266	+	0.907864i	$0.637712\pi$
$678$	6.66059	−	27.3914i	0.255798	−	1.05196i
$679$		−	7.26509i		−	0.278809i
$680$	2.02005	−	8.14375i	0.0774654	−	0.312298i
$681$			54.1479i			2.07495i
$682$	30.8673	+	7.50582i	1.18197	+	0.287413i
$683$	−1.06378	−	1.06378i	−0.0407046	−	0.0407046i	0.686462	−	0.727166i	$-0.259163\pi$
$683$	−1.06378	−	1.06378i	−0.0407046	−	0.0407046i	−0.727166	+	0.686462i	$0.759163\pi$
$684$	1.77801	+	5.58269i	0.0679839	+	0.213459i
$685$	−40.6152	−	13.1418i	−1.55183	−	0.502123i
$686$	−0.735407	−	1.20796i	−0.0280780	−	0.0461203i
$687$			51.5931i			1.96840i
$688$	2.38793	−	14.0170i	0.0910389	−	0.534393i
$689$	−6.00742			−0.228865
$690$	7.18405	+	4.41913i	0.273492	+	0.168234i
$691$	−7.82884	−	7.82884i	−0.297823	−	0.297823i	0.542338	−	0.840161i	$-0.317539\pi$
$691$	−7.82884	−	7.82884i	−0.297823	−	0.297823i	−0.840161	+	0.542338i	$0.817539\pi$
$692$	10.0473	+	31.5471i	0.381941	+	1.19924i
$693$	−3.73013	−	3.73013i	−0.141696	−	0.141696i
$694$	−8.36740	+	34.4105i	−0.317622	+	1.30621i
$695$	40.0128	−	20.4492i	1.51777	−	0.775681i
$696$	−29.2070	+	2.04182i	−1.10709	+	0.0773949i
$697$	6.33226			0.239851
$698$	−3.92134	+	16.1263i	−0.148425	+	0.610391i
$699$	−3.78453	+	3.78453i	−0.143144	+	0.143144i
$700$	−8.92538	+	4.50972i	−0.337348	+	0.170451i
$701$	32.7820	+	32.7820i	1.23816	+	1.23816i	0.960753	+	0.277405i	$0.0894743\pi$
$701$	32.7820	+	32.7820i	1.23816	+	1.23816i	0.277405	+	0.960753i	$0.410526\pi$
$702$	−19.2687	−	31.6503i	−0.727249	−	1.19456i
$703$			32.2335i			1.21571i
$704$	27.5689	−	36.5824i	1.03904	−	1.37875i
$705$	7.40668	+	14.4926i	0.278952	+	0.545823i
$706$	15.3181	−	9.32560i	0.576502	−	0.350974i
$707$	5.32502	−	5.32502i	0.200268	−	0.200268i
$708$	29.0210	+	15.0007i	1.09067	+	0.563760i
$709$	5.92417	−	5.92417i	0.222487	−	0.222487i	−0.587058	−	0.809545i	$-0.699714\pi$
$709$	5.92417	−	5.92417i	0.222487	−	0.222487i	0.809545	+	0.587058i	$0.199714\pi$
$710$	15.0162	−	3.57820i	0.563547	−	0.134287i
$711$			8.11798i			0.304448i
$712$	2.05367	+	29.3765i	0.0769644	+	1.10093i
$713$	−5.28389			−0.197883
$714$	0.877837	−	3.61006i	0.0328522	−	0.135103i
$715$	−25.0894	+	77.5397i	−0.938290	+	2.89982i
$716$	21.4045	−	6.81704i	0.799924	−	0.254765i
$717$	−24.6537	+	24.6537i	−0.920709	+	0.920709i
$718$	3.07545	−	1.87233i	0.114775	−	0.0698747i
$719$	52.8764			1.97196			0.985979	−	0.166868i	$-0.0533653\pi$
$719$	52.8764			1.97196			0.985979	+	0.166868i	$0.0533653\pi$
$720$	−7.86305	+	2.46443i	−0.293038	+	0.0918439i
$721$	3.68901			0.137386
$722$	−10.7375	+	6.53694i	−0.399607	+	0.243280i
$723$	−9.95564	+	9.95564i	−0.370254	+	0.370254i
$724$	−1.10354	−	3.46494i	−0.0410126	−	0.128773i
$725$	4.15185	+	25.8052i	0.154196	+	0.958381i
$726$	14.4157	−	59.2838i	0.535016	−	2.20023i
$727$	−23.8112			−0.883109			−0.441554	−	0.897234i	$-0.645573\pi$
$727$	−23.8112			−0.883109			−0.441554	+	0.897234i	$0.645573\pi$
$728$	−11.8117	+	13.5873i	−0.437770	+	0.503578i
$729$			14.3978i			0.533253i
$730$	11.3527	+	47.6426i	0.420184	+	1.76333i
$731$	3.33467	−	3.33467i	0.123337	−	0.123337i
$732$	7.18415	−	13.8988i	0.265534	−	0.513713i
$733$	−15.4997	+	15.4997i	−0.572493	+	0.572493i	−0.932825	−	0.360331i	$-0.882664\pi$
$733$	−15.4997	+	15.4997i	−0.572493	+	0.572493i	0.360331	+	0.932825i	$0.382664\pi$
$734$	−28.9575	+	17.6293i	−1.06884	+	0.650708i
$735$	−3.94284	+	2.01505i	−0.145434	+	0.0743263i
$736$	−3.01807	+	6.99608i	−0.111247	+	0.257879i
$737$		−	32.0778i		−	1.18160i
$738$	−3.23384	−	5.31184i	−0.119039	−	0.195532i
$739$	−24.7161	−	24.7161i	−0.909195	−	0.909195i	0.0870123	−	0.996207i	$-0.472268\pi$
$739$	−24.7161	−	24.7161i	−0.909195	−	0.909195i	−0.996207	+	0.0870123i	$0.972268\pi$
$740$	−45.3334	−	0.208868i	−1.66649	−	0.00767815i
$741$	28.3409	−	28.3409i	1.04113	−	1.04113i
$742$	0.315365	−	1.29692i	0.0115774	−	0.0476115i
$743$	38.5059			1.41265			0.706323	−	0.707890i	$-0.250353\pi$
$743$	38.5059			1.41265			0.706323	+	0.707890i	$0.250353\pi$
$744$	14.4153	−	16.5823i	0.528491	−	0.607937i
$745$	4.01426	−	2.05155i	0.147071	−	0.0751630i
$746$	5.43963	−	22.3702i	0.199159	−	0.819032i
$747$	−1.85638	−	1.85638i	−0.0679213	−	0.0679213i
$748$	14.4763	−	4.61049i	0.529305	−	0.168576i
$749$	8.44733	+	8.44733i	0.308659	+	0.308659i
$750$	12.0036	+	28.9177i	0.438310	+	1.05593i
$751$	−30.8857			−1.12704			−0.563518	−	0.826104i	$-0.690552\pi$
$751$	−30.8857			−1.12704			−0.563518	+	0.826104i	$0.690552\pi$
$752$	−11.9947	+	8.50276i	−0.437402	+	0.310064i
$753$		−	9.92091i		−	0.361538i
$754$	24.4697	+	40.1935i	0.891134	+	1.46376i
$755$	−11.0016	+	34.0008i	−0.400388	+	1.23741i
$756$	7.84441	−	2.49834i	0.285298	−	0.0908637i
$757$	−18.9618	−	18.9618i	−0.689178	−	0.689178i	0.272872	−	0.962050i	$-0.412026\pi$
$757$	−18.9618	−	18.9618i	−0.689178	−	0.689178i	−0.962050	+	0.272872i	$0.912026\pi$
$758$	24.2279	+	5.89135i	0.879997	+	0.213983i
$759$			15.2722i			0.554344i
$760$	10.3786	+	17.2258i	0.376471	+	0.624847i
$761$			36.4586i			1.32162i	0.750552	+	0.660812i	$0.229788\pi$
$761$			36.4586i			1.32162i	−0.750552	+	0.660812i	$0.770212\pi$
$762$	8.17920	−	33.6366i	0.296301	−	1.21852i
$763$	−0.0745629	−	0.0745629i	−0.00269936	−	0.00269936i
$764$	13.6024	−	26.3159i	0.492119	−	0.952075i
$765$	−2.60026	−	0.841362i	−0.0940125	−	0.0304195i
$766$	−20.2154	+	12.3071i	−0.730414	+	0.444675i
$767$		−	52.5051i		−	1.89585i
$768$	−13.7219	−	28.5580i	−0.495145	−	1.03050i
$769$	8.66803			0.312577			0.156289	−	0.987711i	$-0.450047\pi$
$769$	8.66803			0.312577			0.156289	+	0.987711i	$0.450047\pi$
$770$	−15.4227	−	9.48698i	−0.555795	−	0.341887i
$771$	−9.05718	−	9.05718i	−0.326186	−	0.326186i
$772$	42.6503	+	22.0455i	1.53502	+	0.793437i
$773$	−11.3670	−	11.3670i	−0.408842	−	0.408842i	0.472493	−	0.881335i	$-0.343354\pi$
$773$	−11.3670	−	11.3670i	−0.408842	−	0.408842i	−0.881335	+	0.472493i	$0.843354\pi$
$774$	−4.50029	−	1.09431i	−0.161760	−	0.0393341i
$775$	−15.8968	−	11.4904i	−0.571031	−	0.412749i
$776$	−1.43304	−	20.4988i	−0.0514430	−	0.735862i
$777$	−20.0735			−0.720131
$778$	38.6868	+	9.40722i	1.38699	+	0.337265i
$779$	−10.7321	+	10.7321i	−0.384516	+	0.384516i
$780$	39.6752	+	40.0424i	1.42060	+	1.43375i
$781$	19.7644	+	19.7644i	0.707224	+	0.707224i
$782$	−2.15851	+	1.31410i	−0.0771883	+	0.0469921i
$783$		−	21.5177i		−	0.768980i
$784$	−2.31325	−	3.26326i	−0.0826161	−	0.116545i
$785$	−32.1890	+	16.4507i	−1.14888	+	0.587152i
$786$	−1.27680	−	2.09724i	−0.0455418	−	0.0748061i
$787$	33.2841	−	33.2841i	1.18645	−	1.18645i	0.208408	−	0.978042i	$-0.433172\pi$
$787$	33.2841	−	33.2841i	1.18645	−	1.18645i	0.978042	−	0.208408i	$-0.0668283\pi$
$788$	11.1103	−	3.53849i	0.395789	−	0.126054i
$789$	17.5410	−	17.5410i	0.624475	−	0.624475i
$790$	6.45903	+	27.1058i	0.229802	+	0.964381i
$791$		−	10.0660i		−	0.357907i
$792$	−11.2605	−	9.78894i	−0.400123	−	0.347835i
$793$	−25.1458			−0.892954
$794$	−1.80951	−	0.440007i	−0.0642171	−	0.0156153i
$795$	−3.97604	−	1.28652i	−0.141016	−	0.0456282i
$796$	46.1809	+	23.8705i	1.63684	+	0.846067i
$797$	−7.98356	+	7.98356i	−0.282792	+	0.282792i	−0.834222	−	0.551429i	$-0.814083\pi$
$797$	−7.98356	+	7.98356i	−0.282792	+	0.282792i	0.551429	+	0.834222i	$0.314083\pi$
$798$	4.63064	+	7.60620i	0.163923	+	0.269257i
$799$	−4.87638			−0.172514
$800$	−24.2938	+	14.4849i	−0.858915	+	0.512118i
$801$	9.59195			0.338915
$802$	11.0272	+	18.1131i	0.389384	+	0.639595i
$803$	−62.7074	+	62.7074i	−2.21290	+	2.21290i
$804$	−19.7099	−	10.1879i	−0.695115	−	0.359299i
$805$	2.86553	+	0.927194i	0.100997	+	0.0326793i
$806$	−34.3138	−	8.34387i	−1.20865	−	0.293900i
$807$	−25.8436			−0.909736
$808$	13.9744	−	16.0751i	0.491618	−	0.565521i
$809$			21.4883i			0.755489i	0.925910	+	0.377745i	$0.123300\pi$
$809$			21.4883i			0.755489i	−0.925910	+	0.377745i	$0.876700\pi$
$810$	−8.00091	−	33.5764i	−0.281123	−	1.17976i
$811$	1.49882	−	1.49882i	0.0526306	−	0.0526306i	−0.680302	−	0.732932i	$-0.738151\pi$
$811$	1.49882	−	1.49882i	0.0526306	−	0.0526306i	0.732932	+	0.680302i	$0.238151\pi$
$812$	−9.96179	+	3.17270i	−0.349590	+	0.111340i
$813$	7.68523	−	7.68523i	0.269533	−	0.269533i
$814$	−42.6856	−	70.1145i	−1.49613	−	2.45751i
$815$	12.2070	−	6.23858i	0.427592	−	0.218528i
$816$	1.76477	−	10.3591i	0.0617793	−	0.362641i
$817$			11.3033i			0.395454i
$818$	−26.5667	+	16.1737i	−0.928881	+	0.565501i
$819$	4.14661	+	4.14661i	0.144894	+	0.144894i
$820$	−15.0241	−	15.1632i	−0.524664	−	0.529521i
$821$	−2.11225	+	2.11225i	−0.0737179	+	0.0737179i	−0.743004	−	0.669287i	$-0.766600\pi$
$821$	−2.11225	+	2.11225i	−0.0737179	+	0.0737179i	0.669287	+	0.743004i	$0.266600\pi$
$822$	−51.9493	−	12.6322i	−1.81194	−	0.440599i
$823$	−22.0018			−0.766936			−0.383468	−	0.923554i	$-0.625270\pi$
$823$	−22.0018			−0.766936			−0.383468	+	0.923554i	$0.625270\pi$
$824$	10.4087	−	0.727655i	0.362604	−	0.0253491i
$825$	−33.2111	+	45.9470i	−1.15626	+	1.59967i
$826$	11.3351	+	2.75630i	0.394400	+	0.0959039i
$827$	24.9725	+	24.9725i	0.868380	+	0.868380i	0.992293	−	0.123913i	$-0.0395443\pi$
$827$	24.9725	+	24.9725i	0.868380	+	0.868380i	−0.123913	+	0.992293i	$0.539544\pi$
$828$	2.20468	+	1.13958i	0.0766179	+	0.0396031i
$829$	25.3804	+	25.3804i	0.881498	+	0.881498i	0.993687	−	0.112189i	$-0.0357863\pi$
$829$	25.3804	+	25.3804i	0.881498	+	0.881498i	−0.112189	+	0.993687i	$0.535786\pi$
$830$	−7.67544	−	4.72140i	−0.266418	−	0.163882i
$831$	−52.9131			−1.83554
$832$	−30.6471	+	40.6669i	−1.06250	+	1.40987i
$833$		−	1.32666i		−	0.0459661i
$834$	48.0697	−	29.2648i	1.66452	−	1.01336i
$835$	28.4718	+	9.21258i	0.985308	+	0.318815i
$836$	−16.7207	+	32.3487i	−0.578299	+	1.11880i
$837$	11.4185	+	11.4185i	0.394680	+	0.394680i
$838$	−4.49831	+	18.4991i	−0.155392	+	0.639040i
$839$		−	20.6312i		−	0.712268i	−0.934435	−	0.356134i	$-0.884095\pi$
$839$		−	20.6312i		−	0.712268i	0.934435	−	0.356134i	$-0.115905\pi$
$840$	−10.7274	+	6.46328i	−0.370131	+	0.223004i
$841$		−	1.67418i		−	0.0577303i
$842$	11.9314	+	2.90129i	0.411184	+	0.0999852i
$843$	36.0737	+	36.0737i	1.24244	+	1.24244i
$844$	25.5515	−	8.13781i	0.879519	−	0.280115i
$845$	18.9417	−	58.5401i	0.651615	−	2.01384i
$846$	2.49034	+	4.09058i	0.0856195	+	0.140637i
$847$		−	21.7862i		−	0.748583i
$848$	0.633997	−	3.72152i	0.0217715	−	0.127798i
$849$	14.2298			0.488365
$850$	−9.35165	−	0.740412i	−0.320759	−	0.0253959i
$851$	9.65459	+	9.65459i	0.330955	+	0.330955i
$852$	18.4212	−	5.86689i	0.631099	−	0.200996i
$853$	−22.6940	−	22.6940i	−0.777026	−	0.777026i	0.202298	−	0.979324i	$-0.435159\pi$
$853$	−22.6940	−	22.6940i	−0.777026	−	0.777026i	−0.979324	+	0.202298i	$0.935159\pi$
$854$	1.32005	−	5.42864i	0.0451712	−	0.185764i
$855$	5.83294	−	2.98102i	0.199482	−	0.101949i
$856$	25.5007	+	22.1683i	0.871597	+	0.757695i
$857$	9.63884			0.329257			0.164628	−	0.986356i	$-0.447358\pi$
$857$	9.63884			0.329257			0.164628	+	0.986356i	$0.447358\pi$
$858$	−24.1165	+	99.1779i	−0.823324	+	3.38588i
$859$	−7.47383	+	7.47383i	−0.255004	+	0.255004i	−0.823018	−	0.568015i	$-0.807712\pi$
$859$	−7.47383	+	7.47383i	−0.255004	+	0.255004i	0.568015	+	0.823018i	$0.307712\pi$
$860$	−15.8971	−	0.0732440i	−0.542086	−	0.00249760i
$861$	−6.68340	−	6.68340i	−0.227770	−	0.227770i
$862$	17.5992	+	28.9080i	0.599430	+	0.984611i
$863$		−	25.8966i		−	0.881529i	−0.897623	−	0.440765i	$-0.854707\pi$
$863$		−	25.8966i		−	0.881529i	0.897623	−	0.440765i	$-0.145293\pi$
$864$	21.6405	−	8.59647i	0.736226	−	0.292458i
$865$	32.9612	−	16.8454i	1.12071	−	0.572759i
$866$	−8.22843	+	5.00946i	−0.279613	+	0.170228i
$867$	−21.3394	+	21.3394i	−0.724726	+	0.724726i
$868$	3.60266	−	6.96987i	0.122282	−	0.236573i
$869$	−35.6768	+	35.6768i	−1.21025	+	1.21025i
$870$	7.58775	+	31.8426i	0.257249	+	1.07956i
$871$			35.6594i			1.20827i
$872$	−0.225090	−	0.195675i	−0.00762250	−	0.00662638i
$873$	−6.69320			−0.226531
$874$	1.43113	−	5.88547i	0.0484088	−	0.199079i
$875$	6.60477	+	9.02092i	0.223282	+	0.304963i
$876$	18.6142	+	58.4458i	0.628915	+	1.97470i
$877$	11.1537	−	11.1537i	0.376634	−	0.376634i	−0.493252	−	0.869886i	$-0.664192\pi$
$877$	11.1537	−	11.1537i	0.376634	−	0.376634i	0.869886	+	0.493252i	$0.164192\pi$
$878$	28.2436	−	17.1946i	0.953175	−	0.580291i
$879$	22.3878			0.755120
$880$	−45.3871	−	23.7258i	−1.53000	−	0.799796i
$881$	−9.08339			−0.306027			−0.153014	−	0.988224i	$-0.548898\pi$
$881$	−9.08339			−0.306027			−0.153014	+	0.988224i	$0.548898\pi$
$882$	−1.11288	+	0.677517i	−0.0374725	+	0.0228132i
$883$	−1.04789	+	1.04789i	−0.0352644	+	0.0352644i	−0.724519	−	0.689255i	$-0.757938\pi$
$883$	−1.04789	+	1.04789i	−0.0352644	+	0.0352644i	0.689255	+	0.724519i	$0.257938\pi$
$884$	−16.0926	+	5.12527i	−0.541252	+	0.172381i
$885$	11.2442	−	34.7507i	0.377971	−	1.16813i
$886$	−3.14612	+	12.9383i	−0.105696	+	0.434670i
$887$	48.8109			1.63891			0.819455	−	0.573144i	$-0.194276\pi$
$887$	48.8109			1.63891			0.819455	+	0.573144i	$0.194276\pi$
$888$	−56.6381	+	3.95948i	−1.90065	+	0.132872i
$889$		−	12.3611i		−	0.414578i
$890$	32.0274	−	7.63179i	1.07356	−	0.255818i
$891$	44.1934	−	44.1934i	1.48054	−	1.48054i
$892$	−13.1249	−	6.78414i	−0.439454	−	0.227150i
$893$	8.26460	−	8.26460i	0.276564	−	0.276564i
$894$	4.82257	−	2.93597i	0.161291	−	0.0981936i
$895$	−11.4295	−	22.3640i	−0.382046	−	0.747546i
$896$	−7.17061	−	8.75114i	−0.239553	−	0.292355i
$897$		−	16.9773i		−	0.566857i
$898$	−5.37510	−	8.82904i	−0.179369	−	0.294629i
$899$	−14.5006	−	14.5006i	−0.483621	−	0.483621i
$900$	4.15473	+	8.22280i	0.138491	+	0.274093i
$901$	0.885357	−	0.885357i	0.0294955	−	0.0294955i
$902$	9.13237	−	37.5564i	0.304075	−	1.25049i
$903$	−7.03917			−0.234249
$904$	−1.98552	−	28.4018i	−0.0660375	−	0.944628i
$905$	−3.62026	+	1.85019i	−0.120341	+	0.0615025i
$906$	−10.5750	+	43.4890i	−0.351330	+	1.44483i
$907$	−4.03382	−	4.03382i	−0.133941	−	0.133941i	0.636958	−	0.770899i	$-0.280192\pi$
$907$	−4.03382	−	4.03382i	−0.133941	−	0.133941i	−0.770899	+	0.636958i	$0.780192\pi$
$908$	16.5962	+	52.1097i	0.550765	+	1.72932i
$909$	−4.90585	−	4.90585i	−0.162717	−	0.162717i
$910$	17.1447	+	10.5462i	0.568341	+	0.349604i
$911$	34.2074			1.13334			0.566671	−	0.823944i	$-0.308231\pi$
$911$	34.2074			1.13334			0.566671	+	0.823944i	$0.308231\pi$
$912$	14.5659	+	20.5478i	0.482324	+	0.680406i
$913$		−	16.3168i		−	0.540006i
$914$	−17.5460	−	28.8206i	−0.580369	−	0.953302i
$915$	−16.6429	−	5.38511i	−0.550196	−	0.178026i
$916$	15.8132	+	49.6510i	0.522482	+	1.64052i
$917$	−0.619962	−	0.619962i	−0.0204730	−	0.0204730i
$918$	7.50430	+	1.82478i	0.247679	+	0.0602266i
$919$		−	6.45037i		−	0.212778i	−0.994325	−	0.106389i	$-0.966071\pi$
$919$		−	6.45037i		−	0.212778i	0.994325	−	0.106389i	$-0.0339289\pi$
$920$	8.26809	+	2.05089i	0.272591	+	0.0676159i
$921$		−	61.1623i		−	2.01537i
$922$	0.0988115	−	0.406358i	0.00325418	−	0.0133827i
$923$	−21.9711	−	21.9711i	−0.723188	−	0.723188i
$924$	−20.1452	−	10.4129i	−0.662728	−	0.342558i
$925$	8.05124	+	50.0413i	0.264723	+	1.64535i
$926$	42.7515	−	26.0271i	1.40490	−	0.855303i
$927$		−	3.39862i		−	0.111625i
$928$	−27.4818	+	10.9168i	−0.902134	+	0.358363i
$929$	−40.1360			−1.31682			−0.658410	−	0.752659i	$-0.728771\pi$
$929$	−40.1360			−1.31682			−0.658410	+	0.752659i	$0.728771\pi$
$930$	−20.9239	−	12.8709i	−0.686120	−	0.422054i
$931$	2.24846	+	2.24846i	0.0736902	+	0.0736902i
$932$	−2.48212	+	4.80203i	−0.0813047	+	0.157296i
$933$	−20.7701	−	20.7701i	−0.679982	−	0.679982i
$934$	34.6704	+	8.43058i	1.13445	+	0.275857i
$935$	−7.72997	−	15.1252i	−0.252797	−	0.494646i
$936$	12.5177	+	10.8819i	0.409155	+	0.355686i
$937$	12.8769			0.420669			0.210335	−	0.977629i	$-0.432545\pi$
$937$	12.8769			0.420669			0.210335	+	0.977629i	$0.432545\pi$
$938$	−7.69839	−	1.87197i	−0.251361	−	0.0611220i
$939$	−12.8451	+	12.8451i	−0.419185	+	0.419185i
$940$	11.5698	+	11.6769i	0.377367	+	0.380860i
$941$	6.58707	+	6.58707i	0.214732	+	0.214732i	0.806274	−	0.591542i	$-0.201481\pi$
$941$	6.58707	+	6.58707i	0.214732	+	0.214732i	−0.591542	+	0.806274i	$0.701481\pi$
$942$	−38.6706	+	23.5426i	−1.25996	+	0.767059i
$943$			6.42894i			0.209355i
$944$	32.5262	+	5.54115i	1.05864	+	0.180349i
$945$	−4.18872	−	8.19605i	−0.136259	−	0.266617i
$946$	−14.9686	−	24.5871i	−0.486670	−	0.799395i
$947$	4.94132	−	4.94132i	0.160571	−	0.160571i	−0.622249	−	0.782820i	$-0.713781\pi$
$947$	4.94132	−	4.94132i	0.160571	−	0.160571i	0.782820	+	0.622249i	$0.213781\pi$
$948$	10.5904	+	33.2522i	0.343959	+	1.07998i
$949$	69.7089	−	69.7089i	2.26285	−	2.26285i
$950$	17.1043	−	14.5945i	0.554935	−	0.473509i
$951$			68.6598i			2.22645i
$952$	−0.261684	−	3.74323i	−0.00848121	−	0.121319i
$953$	14.1824			0.459411			0.229706	−	0.973260i	$-0.426224\pi$
$953$	14.1824			0.459411			0.229706	+	0.973260i	$0.426224\pi$
$954$	−1.19483	−	0.290540i	−0.0386841	−	0.00940658i
$955$	−31.5116	−	10.1961i	−1.01969	−	0.329940i
$956$	−16.1694	+	31.2820i	−0.522955	+	1.01173i
$957$	−41.9113	+	41.9113i	−1.35480	+	1.35480i
$958$	2.65335	+	4.35834i	0.0857259	+	0.140812i
$959$	−19.0909			−0.616476
$960$	−28.9930	+	20.3524i	−0.935744	+	0.656870i
$961$	−15.6104			−0.503563
$962$	47.4515	+	77.9430i	1.52990	+	2.51298i
$963$	7.78238	−	7.78238i	0.250784	−	0.250784i
$964$	−6.52951	+	12.6323i	−0.210301	+	0.406858i
$965$	16.5250	−	51.0710i	0.531957	−	1.64403i
$966$	3.66518	+	0.891240i	0.117925	+	0.0286752i
$967$	−32.5720			−1.04745			−0.523723	−	0.851889i	$-0.675457\pi$
$967$	−32.5720			−1.04745			−0.523723	+	0.851889i	$0.675457\pi$
$968$	−4.29732	−	61.4707i	−0.138121	−	1.97574i
$969$			8.35360i			0.268356i
$970$	−22.3485	+	5.32541i	−0.717567	+	0.170989i
$971$	31.5457	−	31.5457i	1.01235	−	1.01235i	0.0124257	−	0.999923i	$-0.496045\pi$
$971$	31.5457	−	31.5457i	1.01235	−	1.01235i	0.999923	−	0.0124257i	$-0.00395533\pi$
$972$	−5.62345	−	17.6568i	−0.180372	−	0.566342i
$973$	14.2098	−	14.2098i	0.455546	−	0.455546i
$974$	19.2093	+	31.5529i	0.615506	+	1.01102i
$975$	36.9192	−	51.0771i	1.18236	−	1.63578i
$976$	2.65378	−	15.5775i	0.0849454	−	0.498624i
$977$			31.0744i			0.994159i	0.867705	+	0.497080i	$0.165594\pi$
$977$			31.0744i			0.994159i	−0.867705	+	0.497080i	$0.834406\pi$
$978$	14.6650	−	8.92802i	0.468934	−	0.285486i
$979$	42.1546	+	42.1546i	1.34727	+	1.34727i
$980$	−3.17681	+	3.14767i	−0.101480	+	0.100549i
$981$	−0.0686935	+	0.0686935i	−0.00219321	+	0.00219321i
$982$	−34.6484	−	8.42523i	−1.10567	−	0.268860i
$983$	−11.8213			−0.377042			−0.188521	−	0.982069i	$-0.560369\pi$
$983$	−11.8213			−0.377042			−0.188521	+	0.982069i	$0.560369\pi$
$984$	−20.1758	−	17.5392i	−0.643180	−	0.559129i
$985$	−5.93265	−	11.6084i	−0.189030	−	0.369873i
$986$	−9.52988	−	2.31732i	−0.303493	−	0.0737986i
$987$	5.14679	+	5.14679i	0.163824	+	0.163824i
$988$	18.5877	−	35.9605i	0.591352	−	1.14406i
$989$	3.38558	+	3.38558i	0.107655	+	0.107655i
$990$	−8.74019	+	14.2087i	−0.277781	+	0.451581i
$991$	24.6567			0.783245			0.391623	−	0.920126i	$-0.371914\pi$
$991$	24.6567			0.783245			0.391623	+	0.920126i	$0.371914\pi$
$992$	8.79025	−	20.3764i	0.279091	−	0.646951i
$993$		−	29.7327i		−	0.943540i
$994$	5.89666	−	3.58988i	0.187031	−	0.113864i
$995$	17.8929	−	55.2986i	0.567243	−	1.75308i
$996$	−10.0257	−	5.18219i	−0.317676	−	0.164204i
$997$	14.1340	+	14.1340i	0.447628	+	0.447628i	0.894565	−	0.446937i	$-0.147485\pi$
$997$	14.1340	+	14.1340i	0.447628	+	0.447628i	−0.446937	+	0.894565i	$0.647485\pi$
$998$	−9.46315	+	38.9168i	−0.299551	+	1.23189i
$999$		−	41.7270i		−	1.32019i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	560.2.bb.d.29.12	yes	70
5.4	even	2		560.2.bb.c.29.24	✓	70
16.5	even	4		560.2.bb.c.309.24	yes	70
80.69	even	4	inner	560.2.bb.d.309.12	yes	70

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
560.2.bb.c.29.24	✓	70	5.4	even	2
560.2.bb.c.309.24	yes	70	16.5	even	4
560.2.bb.d.29.12	yes	70	1.1	even	1	trivial
560.2.bb.d.309.12	yes	70	80.69	even	4	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 560 = 2^{4} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	560.bb (of order \(4\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.735407 - 1.20796i) q^{2} +(-1.40023 + 1.40023i) q^{3} +(-0.918355 + 1.77669i) q^{4} +(2.12747 + 0.688383i) q^{5} +(2.72116 + 0.661689i) q^{6} +1.00000 q^{7} +(2.82154 - 0.197250i) q^{8} -0.921283i q^{9} +O(q^{10})\)	\(q+(-0.735407 - 1.20796i) q^{2} +(-1.40023 + 1.40023i) q^{3} +(-0.918355 + 1.77669i) q^{4} +(2.12747 + 0.688383i) q^{5} +(2.72116 + 0.661689i) q^{6} +1.00000 q^{7} +(2.82154 - 0.197250i) q^{8} -0.921283i q^{9} +(-0.733014 - 3.07615i) q^{10} +(4.04884 - 4.04884i) q^{11} +(-1.20187 - 3.77368i) q^{12} +(-4.50090 + 4.50090i) q^{13} +(-0.735407 - 1.20796i) q^{14} +(-3.94284 + 2.01505i) q^{15} +(-2.31325 - 3.26326i) q^{16} -1.32666i q^{17} +(-1.11288 + 0.677517i) q^{18} +(2.24846 + 2.24846i) q^{19} +(-3.17681 + 3.14767i) q^{20} +(-1.40023 + 1.40023i) q^{21} +(-7.86840 - 1.91331i) q^{22} +1.34692 q^{23} +(-3.67461 + 4.22700i) q^{24} +(4.05226 + 2.92903i) q^{25} +(8.74693 + 2.12694i) q^{26} +(-2.91068 - 2.91068i) q^{27} +(-0.918355 + 1.77669i) q^{28} +(3.69634 + 3.69634i) q^{29} +(5.33370 + 3.28093i) q^{30} -3.92295 q^{31} +(-2.24072 + 5.19415i) q^{32} +11.3386i q^{33} +(-1.60256 + 0.975636i) q^{34} +(2.12747 + 0.688383i) q^{35} +(1.63683 + 0.846064i) q^{36} +(7.16792 + 7.16792i) q^{37} +(1.06253 - 4.36959i) q^{38} -12.6046i q^{39} +(6.13853 + 1.52266i) q^{40} +4.77308i q^{41} +(2.72116 + 0.661689i) q^{42} +(2.51358 + 2.51358i) q^{43} +(3.47526 + 10.9118i) q^{44} +(0.634195 - 1.96000i) q^{45} +(-0.990532 - 1.62703i) q^{46} -3.67568i q^{47} +(7.80839 + 1.33023i) q^{48} +1.00000 q^{49} +(0.558101 - 7.04901i) q^{50} +(1.85763 + 1.85763i) q^{51} +(-3.86328 - 12.1301i) q^{52} +(0.667357 + 0.667357i) q^{53} +(-1.37546 + 5.65653i) q^{54} +(11.4009 - 5.82664i) q^{55} +(2.82154 - 0.197250i) q^{56} -6.29671 q^{57} +(1.74673 - 7.18335i) q^{58} +(-5.83272 + 5.83272i) q^{59} +(0.0408017 - 8.85573i) q^{60} +(2.79342 + 2.79342i) q^{61} +(2.88497 + 4.73879i) q^{62} -0.921283i q^{63} +(7.92219 - 1.11310i) q^{64} +(-12.6739 + 6.47720i) q^{65} +(13.6966 - 8.33848i) q^{66} +(3.96136 - 3.96136i) q^{67} +(2.35707 + 1.21835i) q^{68} +(-1.88599 + 1.88599i) q^{69} +(-0.733014 - 3.07615i) q^{70} +4.88149i q^{71} +(-0.181723 - 2.59944i) q^{72} -15.4877 q^{73} +(3.38725 - 13.9299i) q^{74} +(-9.77540 + 1.57278i) q^{75} +(-6.05969 + 1.92993i) q^{76} +(4.04884 - 4.04884i) q^{77} +(-15.2259 + 9.26950i) q^{78} -8.81160 q^{79} +(-2.67500 - 8.53489i) q^{80} +10.9151 q^{81} +(5.76570 - 3.51015i) q^{82} +(2.01499 - 2.01499i) q^{83} +(-1.20187 - 3.77368i) q^{84} +(0.913251 - 2.82243i) q^{85} +(1.18781 - 4.88481i) q^{86} -10.3514 q^{87} +(10.6253 - 12.2226i) q^{88} +10.4115i q^{89} +(-2.83400 + 0.675313i) q^{90} +(-4.50090 + 4.50090i) q^{91} +(-1.23695 + 2.39305i) q^{92} +(5.49303 - 5.49303i) q^{93} +(-4.44009 + 2.70312i) q^{94} +(3.23573 + 6.33132i) q^{95} +(-4.13547 - 10.4105i) q^{96} -7.26509i q^{97} +(-0.735407 - 1.20796i) q^{98} +(-3.73013 - 3.73013i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 70 q + 2 q^{2} + 2 q^{3} + 2 q^{5} + 70 q^{7} + 8 q^{8}+O(q^{10}) \) 70 * q + 2 * q^2 + 2 * q^3 + 2 * q^5 + 70 * q^7 + 8 * q^8	\( 70 q + 2 q^{2} + 2 q^{3} + 2 q^{5} + 70 q^{7} + 8 q^{8} - 18 q^{10} - 2 q^{11} - 4 q^{12} + 6 q^{13} + 2 q^{14} - 6 q^{15} + 4 q^{16} - 18 q^{18} + 14 q^{19} + 12 q^{20} + 2 q^{21} - 12 q^{22} + 20 q^{24} + 6 q^{25} - 36 q^{26} + 8 q^{27} + 2 q^{29} + 8 q^{30} + 16 q^{31} - 8 q^{32} + 4 q^{34} + 2 q^{35} - 40 q^{36} + 10 q^{37} - 12 q^{38} - 24 q^{40} + 2 q^{43} - 24 q^{44} - 24 q^{45} - 16 q^{46} - 44 q^{48} + 70 q^{49} - 10 q^{50} + 8 q^{51} + 28 q^{52} - 30 q^{53} - 32 q^{54} + 6 q^{55} + 8 q^{56} - 76 q^{57} + 56 q^{58} + 2 q^{59} - 8 q^{60} + 30 q^{61} + 48 q^{62} + 12 q^{64} - 10 q^{65} + 80 q^{66} + 6 q^{67} - 36 q^{68} - 16 q^{69} - 18 q^{70} + 4 q^{72} - 36 q^{73} - 32 q^{74} - 2 q^{75} + 44 q^{76} - 2 q^{77} - 84 q^{78} - 40 q^{79} + 12 q^{80} - 82 q^{81} + 24 q^{82} + 10 q^{83} - 4 q^{84} + 32 q^{85} + 32 q^{86} - 4 q^{87} + 32 q^{88} + 18 q^{90} + 6 q^{91} - 92 q^{92} - 56 q^{93} - 20 q^{94} + 6 q^{95} + 16 q^{96} + 2 q^{98} - 34 q^{99}+O(q^{100}) \) 70 * q + 2 * q^2 + 2 * q^3 + 2 * q^5 + 70 * q^7 + 8 * q^8 - 18 * q^10 - 2 * q^11 - 4 * q^12 + 6 * q^13 + 2 * q^14 - 6 * q^15 + 4 * q^16 - 18 * q^18 + 14 * q^19 + 12 * q^20 + 2 * q^21 - 12 * q^22 + 20 * q^24 + 6 * q^25 - 36 * q^26 + 8 * q^27 + 2 * q^29 + 8 * q^30 + 16 * q^31 - 8 * q^32 + 4 * q^34 + 2 * q^35 - 40 * q^36 + 10 * q^37 - 12 * q^38 - 24 * q^40 + 2 * q^43 - 24 * q^44 - 24 * q^45 - 16 * q^46 - 44 * q^48 + 70 * q^49 - 10 * q^50 + 8 * q^51 + 28 * q^52 - 30 * q^53 - 32 * q^54 + 6 * q^55 + 8 * q^56 - 76 * q^57 + 56 * q^58 + 2 * q^59 - 8 * q^60 + 30 * q^61 + 48 * q^62 + 12 * q^64 - 10 * q^65 + 80 * q^66 + 6 * q^67 - 36 * q^68 - 16 * q^69 - 18 * q^70 + 4 * q^72 - 36 * q^73 - 32 * q^74 - 2 * q^75 + 44 * q^76 - 2 * q^77 - 84 * q^78 - 40 * q^79 + 12 * q^80 - 82 * q^81 + 24 * q^82 + 10 * q^83 - 4 * q^84 + 32 * q^85 + 32 * q^86 - 4 * q^87 + 32 * q^88 + 18 * q^90 + 6 * q^91 - 92 * q^92 - 56 * q^93 - 20 * q^94 + 6 * q^95 + 16 * q^96 + 2 * q^98 - 34 * q^99

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