LMFDB - Embedded newform 280.2.bj.f.171.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [280,2,Mod(131,280)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(280, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 3, 0, 5]))

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

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

chi := DirichletCharacter("280.131");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 280 = 2^{3} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	280.bj (of order $6$, 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:	$2.23581125660$
Analytic rank:	$0$
Dimension:	$24$
Relative dimension:	$12$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			171.1
Character	$\chi$	$=$	280.171
Dual form			280.2.bj.f.131.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.41058 - 0.101290i) q^{2} +(0.725648 + 0.418953i) q^{3} +(1.97948 + 0.285754i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(-0.981150 - 0.664468i) q^{6} +(-2.36913 - 1.17781i) q^{7} +(-2.76328 - 0.603581i) q^{8} +(-1.14896 - 1.99005i) q^{9} +O(q^{10})$	\(q+(-1.41058 - 0.101290i) q^{2} +(0.725648 + 0.418953i) q^{3} +(1.97948 + 0.285754i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(-0.981150 - 0.664468i) q^{6} +(-2.36913 - 1.17781i) q^{7} +(-2.76328 - 0.603581i) q^{8} +(-1.14896 - 1.99005i) q^{9} +(0.617571 + 1.27224i) q^{10} +(2.98938 - 5.17776i) q^{11} +(1.31669 + 1.03667i) q^{12} -2.87544 q^{13} +(3.22254 + 1.90137i) q^{14} -0.837906i q^{15} +(3.83669 + 1.13129i) q^{16} +(2.07668 + 1.19897i) q^{17} +(1.41913 + 2.92351i) q^{18} +(-4.05564 + 2.34152i) q^{19} +(-0.742270 - 1.85716i) q^{20} +(-1.22570 - 1.84723i) q^{21} +(-4.74122 + 7.00086i) q^{22} +(5.81623 - 3.35800i) q^{23} +(-1.75229 - 1.59567i) q^{24} +(-0.500000 + 0.866025i) q^{25} +(4.05605 + 0.291252i) q^{26} -4.43915i q^{27} +(-4.35307 - 3.00845i) q^{28} -1.31035i q^{29} +(-0.0848712 + 1.18194i) q^{30} +(4.34775 - 7.53053i) q^{31} +(-5.29737 - 1.98439i) q^{32} +(4.33848 - 2.50482i) q^{33} +(-2.80789 - 1.90160i) q^{34} +(0.164546 + 2.64063i) q^{35} +(-1.70567 - 4.26759i) q^{36} +(-3.26889 + 1.88729i) q^{37} +(5.95798 - 2.89212i) q^{38} +(-2.08656 - 1.20468i) q^{39} +(0.858921 + 2.69486i) q^{40} +1.79404i q^{41} +(1.54185 + 2.72982i) q^{42} -6.73760 q^{43} +(7.39699 - 9.39505i) q^{44} +(-1.14896 + 1.99005i) q^{45} +(-8.54439 + 4.14761i) q^{46} +(0.874599 + 1.51485i) q^{47} +(2.31013 + 2.42831i) q^{48} +(4.22551 + 5.58078i) q^{49} +(0.793010 - 1.17095i) q^{50} +(1.00463 + 1.74007i) q^{51} +(-5.69188 - 0.821671i) q^{52} +(-0.0994447 - 0.0574144i) q^{53} +(-0.449640 + 6.26179i) q^{54} -5.97876 q^{55} +(5.83564 + 4.68458i) q^{56} -3.92395 q^{57} +(-0.132724 + 1.84835i) q^{58} +(2.61363 + 1.50898i) q^{59} +(0.239435 - 1.65862i) q^{60} +(4.40120 + 7.62310i) q^{61} +(-6.89562 + 10.1820i) q^{62} +(0.378112 + 6.06794i) q^{63} +(7.27138 + 3.33572i) q^{64} +(1.43772 + 2.49021i) q^{65} +(-6.37349 + 3.09381i) q^{66} +(-2.83761 + 4.91489i) q^{67} +(3.76814 + 2.96677i) q^{68} +5.62738 q^{69} +(0.0353631 - 3.74149i) q^{70} -3.06734i q^{71} +(1.97373 + 6.19255i) q^{72} +(8.69332 + 5.01909i) q^{73} +(4.80220 - 2.33108i) q^{74} +(-0.725648 + 0.418953i) q^{75} +(-8.69716 + 3.47608i) q^{76} +(-13.1807 + 8.74583i) q^{77} +(2.82124 + 1.91064i) q^{78} +(11.9852 - 6.91965i) q^{79} +(-0.938618 - 3.88832i) q^{80} +(-1.58707 + 2.74889i) q^{81} +(0.181717 - 2.53063i) q^{82} -17.4215i q^{83} +(-1.89840 - 4.00681i) q^{84} -2.39795i q^{85} +(9.50393 + 0.682449i) q^{86} +(0.548973 - 0.950850i) q^{87} +(-11.3857 + 12.5032i) q^{88} +(-11.0658 + 6.38886i) q^{89} +(1.82227 - 2.69075i) q^{90} +(6.81228 + 3.38674i) q^{91} +(12.4727 - 4.98508i) q^{92} +(6.30988 - 3.64301i) q^{93} +(-1.08025 - 2.22541i) q^{94} +(4.05564 + 2.34152i) q^{95} +(-3.01266 - 3.65932i) q^{96} +3.76431i q^{97} +(-5.39515 - 8.30014i) q^{98} -13.7387 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 24 q + 3 q^{2} + 12 q^{3} + q^{4} - 12 q^{5} - 2 q^{6} + 10 q^{7} - 6 q^{8} + 12 q^{9}+O(q^{10}) $ 24 * q + 3 * q^2 + 12 * q^3 + q^4 - 12 * q^5 - 2 * q^6 + 10 * q^7 - 6 * q^8 + 12 * q^9	$ 24 q + 3 q^{2} + 12 q^{3} + q^{4} - 12 q^{5} - 2 q^{6} + 10 q^{7} - 6 q^{8} + 12 q^{9} - 3 q^{10} + 8 q^{11} + 10 q^{12} + 20 q^{13} + 5 q^{14} - 3 q^{16} + 6 q^{17} + 3 q^{18} + 18 q^{19} - 2 q^{20} - 26 q^{21} - 16 q^{22} + 18 q^{23} - 18 q^{24} - 12 q^{25} - 37 q^{26} - 41 q^{28} - 8 q^{30} - 6 q^{31} + 3 q^{32} + 12 q^{33} - 20 q^{34} - 8 q^{35} - 22 q^{36} + 15 q^{38} - 18 q^{39} + 3 q^{40} - 12 q^{42} + 32 q^{43} + 35 q^{44} + 12 q^{45} - 49 q^{46} - 14 q^{48} + 8 q^{49} - 22 q^{51} - 41 q^{52} + 30 q^{53} + 104 q^{54} - 16 q^{55} + 44 q^{56} - 44 q^{57} - 54 q^{58} - 18 q^{59} - 8 q^{60} + 22 q^{61} + 8 q^{62} - 12 q^{63} + 58 q^{64} - 10 q^{65} + 8 q^{66} - 8 q^{67} + 18 q^{68} - 12 q^{69} - q^{70} - 17 q^{72} + 30 q^{73} + 53 q^{74} - 12 q^{75} + 8 q^{76} - 32 q^{77} - 8 q^{78} + 6 q^{79} - 3 q^{80} - 4 q^{81} - 57 q^{82} + 42 q^{86} + 14 q^{87} - 17 q^{88} - 60 q^{89} + 24 q^{90} + 18 q^{91} - 38 q^{92} - 18 q^{93} + 19 q^{94} - 18 q^{95} - 74 q^{96} + 3 q^{98} - 56 q^{99}+O(q^{100}) $ 24 * q + 3 * q^2 + 12 * q^3 + q^4 - 12 * q^5 - 2 * q^6 + 10 * q^7 - 6 * q^8 + 12 * q^9 - 3 * q^10 + 8 * q^11 + 10 * q^12 + 20 * q^13 + 5 * q^14 - 3 * q^16 + 6 * q^17 + 3 * q^18 + 18 * q^19 - 2 * q^20 - 26 * q^21 - 16 * q^22 + 18 * q^23 - 18 * q^24 - 12 * q^25 - 37 * q^26 - 41 * q^28 - 8 * q^30 - 6 * q^31 + 3 * q^32 + 12 * q^33 - 20 * q^34 - 8 * q^35 - 22 * q^36 + 15 * q^38 - 18 * q^39 + 3 * q^40 - 12 * q^42 + 32 * q^43 + 35 * q^44 + 12 * q^45 - 49 * q^46 - 14 * q^48 + 8 * q^49 - 22 * q^51 - 41 * q^52 + 30 * q^53 + 104 * q^54 - 16 * q^55 + 44 * q^56 - 44 * q^57 - 54 * q^58 - 18 * q^59 - 8 * q^60 + 22 * q^61 + 8 * q^62 - 12 * q^63 + 58 * q^64 - 10 * q^65 + 8 * q^66 - 8 * q^67 + 18 * q^68 - 12 * q^69 - q^70 - 17 * q^72 + 30 * q^73 + 53 * q^74 - 12 * q^75 + 8 * q^76 - 32 * q^77 - 8 * q^78 + 6 * q^79 - 3 * q^80 - 4 * q^81 - 57 * q^82 + 42 * q^86 + 14 * q^87 - 17 * q^88 - 60 * q^89 + 24 * q^90 + 18 * q^91 - 38 * q^92 - 18 * q^93 + 19 * q^94 - 18 * q^95 - 74 * q^96 + 3 * q^98 - 56 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/280\mathbb{Z}\right)^\times$.

$n$	$57$	$71$	$141$	$241$
$\chi(n)$	$1$	$-1$	$-1$	$e\left(\frac{1}{6}\right)$

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 $

$2$	−1.41058	−	0.101290i	−0.997432	−	0.0716226i
$2$	−1.41058	−	0.101290i	−0.997432	−	0.0716226i
$3$	0.725648	+	0.418953i	0.418953	+	0.241883i	0.694629	−	0.719368i	$-0.255568\pi$
$3$	0.725648	+	0.418953i	0.418953	+	0.241883i	−0.275676	+	0.961251i	$0.588902\pi$
$4$	1.97948	+	0.285754i	0.989740	+	0.142877i
$5$	−0.500000	−	0.866025i	−0.223607	−	0.387298i
$5$	−0.500000	−	0.866025i	−0.223607	−	0.387298i
$6$	−0.981150	−	0.664468i	−0.400553	−	0.271268i
$7$	−2.36913	−	1.17781i	−0.895445	−	0.445172i
$7$	−2.36913	−	1.17781i	−0.895445	−	0.445172i
$8$	−2.76328	−	0.603581i	−0.976965	−	0.213398i
$9$	−1.14896	−	1.99005i	−0.382985	−	0.663350i
$10$	0.617571	+	1.27224i	0.195293	+	0.402319i
$11$	2.98938	−	5.17776i	0.901332	−	1.56115i	0.0755665	−	0.997141i	$-0.475923\pi$
$11$	2.98938	−	5.17776i	0.901332	−	1.56115i	0.825766	−	0.564013i	$-0.190743\pi$
$12$	1.31669	+	1.03667i	0.380095	+	0.299260i
$13$	−2.87544			−0.797504			−0.398752	−	0.917059i	$-0.630557\pi$
$13$	−2.87544			−0.797504			−0.398752	+	0.917059i	$0.630557\pi$
$14$	3.22254	+	1.90137i	0.861261	+	0.508163i
$15$		−	0.837906i		−	0.216346i
$16$	3.83669	+	1.13129i	0.959172	+	0.282823i
$17$	2.07668	+	1.19897i	0.503670	+	0.290794i	0.730228	−	0.683204i	$-0.239414\pi$
$17$	2.07668	+	1.19897i	0.503670	+	0.290794i	−0.226558	+	0.973998i	$0.572747\pi$
$18$	1.41913	+	2.92351i	0.334491	+	0.689077i
$19$	−4.05564	+	2.34152i	−0.930427	+	0.537182i	−0.886947	−	0.461872i	$-0.847178\pi$
$19$	−4.05564	+	2.34152i	−0.930427	+	0.537182i	−0.0434803	+	0.999054i	$0.513845\pi$
$20$	−0.742270	−	1.85716i	−0.165977	−	0.415273i
$21$	−1.22570	−	1.84723i	−0.267470	−	0.403099i
$22$	−4.74122	+	7.00086i	−1.01083	+	1.49259i
$23$	5.81623	−	3.35800i	1.21277	−	0.700191i	0.249406	−	0.968399i	$-0.419765\pi$
$23$	5.81623	−	3.35800i	1.21277	−	0.700191i	0.963361	+	0.268208i	$0.0864314\pi$
$24$	−1.75229	−	1.59567i	−0.357685	−	0.325715i
$25$	−0.500000	+	0.866025i	−0.100000	+	0.173205i
$26$	4.05605	+	0.291252i	0.795456	+	0.0571193i
$27$		−	4.43915i		−	0.854316i
$28$	−4.35307	−	3.00845i	−0.822653	−	0.568543i
$29$		−	1.31035i		−	0.243325i	−0.992572	−	0.121663i	$-0.961177\pi$
$29$		−	1.31035i		−	0.243325i	0.992572	−	0.121663i	$-0.0388226\pi$
$30$	−0.0848712	+	1.18194i	−0.0154953	+	0.215791i
$31$	4.34775	−	7.53053i	0.780879	−	1.35252i	−0.150551	−	0.988602i	$-0.548105\pi$
$31$	4.34775	−	7.53053i	0.780879	−	1.35252i	0.931430	−	0.363920i	$-0.118562\pi$
$32$	−5.29737	−	1.98439i	−0.936452	−	0.350795i
$33$	4.33848	−	2.50482i	0.755232	−	0.436034i
$34$	−2.80789	−	1.90160i	−0.481549	−	0.326121i
$35$	0.164546	+	2.64063i	0.0278133	+	0.446348i
$36$	−1.70567	−	4.26759i	−0.284279	−	0.711265i
$37$	−3.26889	+	1.88729i	−0.537402	+	0.310269i	−0.744025	−	0.668151i	$-0.767086\pi$
$37$	−3.26889	+	1.88729i	−0.537402	+	0.310269i	0.206624	+	0.978421i	$0.433752\pi$
$38$	5.95798	−	2.89212i	0.966512	−	0.469163i
$39$	−2.08656	−	1.20468i	−0.334117	−	0.192903i
$40$	0.858921	+	2.69486i	0.135807	+	0.426094i
$41$			1.79404i			0.280181i	0.990139	+	0.140091i	$0.0447394\pi$
$41$			1.79404i			0.280181i	−0.990139	+	0.140091i	$0.955261\pi$
$42$	1.54185	+	2.72982i	0.237912	+	0.421221i
$43$	−6.73760			−1.02747			−0.513737	−	0.857948i	$-0.671739\pi$
$43$	−6.73760			−1.02747			−0.513737	+	0.857948i	$0.671739\pi$
$44$	7.39699	−	9.39505i	1.11514	−	1.41636i
$45$	−1.14896	+	1.99005i	−0.171276	+	0.296659i
$46$	−8.54439	+	4.14761i	−1.25980	+	0.611532i
$47$	0.874599	+	1.51485i	0.127573	+	0.220963i	0.922736	−	0.385433i	$-0.125948\pi$
$47$	0.874599	+	1.51485i	0.127573	+	0.220963i	−0.795163	+	0.606396i	$0.792615\pi$
$48$	2.31013	+	2.42831i	0.333438	+	0.350497i
$49$	4.22551	+	5.58078i	0.603644	+	0.797254i
$50$	0.793010	−	1.17095i	0.112149	−	0.165598i
$51$	1.00463	+	1.74007i	0.140676	+	0.243658i
$52$	−5.69188	−	0.821671i	−0.789322	−	0.113945i
$53$	−0.0994447	−	0.0574144i	−0.0136598	−	0.00788648i	0.493155	−	0.869942i	$-0.335844\pi$
$53$	−0.0994447	−	0.0574144i	−0.0136598	−	0.00788648i	−0.506814	+	0.862055i	$0.669177\pi$
$54$	−0.449640	+	6.26179i	−0.0611883	+	0.852122i
$55$	−5.97876			−0.806176
$56$	5.83564	+	4.68458i	0.779820	+	0.626004i
$57$	−3.92395			−0.519740
$58$	−0.132724	+	1.84835i	−0.0174276	+	0.242700i
$59$	2.61363	+	1.50898i	0.340266	+	0.196453i	0.660390	−	0.750923i	$-0.270391\pi$
$59$	2.61363	+	1.50898i	0.340266	+	0.196453i	−0.320124	+	0.947376i	$0.603724\pi$
$60$	0.239435	−	1.65862i	0.0309110	−	0.214127i
$61$	4.40120	+	7.62310i	0.563516	+	0.976038i	0.997186	+	0.0749664i	$0.0238850\pi$
$61$	4.40120	+	7.62310i	0.563516	+	0.976038i	−0.433670	+	0.901072i	$0.642782\pi$
$62$	−6.89562	+	10.1820i	−0.875745	+	1.29312i
$63$	0.378112	+	6.06794i	0.0476376	+	0.764488i
$64$	7.27138	+	3.33572i	0.908923	+	0.416965i
$65$	1.43772	+	2.49021i	0.178327	+	0.308872i
$66$	−6.37349	+	3.09381i	−0.784522	+	0.380822i
$67$	−2.83761	+	4.91489i	−0.346670	+	0.600449i	−0.985656	−	0.168769i	$-0.946021\pi$
$67$	−2.83761	+	4.91489i	−0.346670	+	0.600449i	0.638986	+	0.769218i	$0.279354\pi$
$68$	3.76814	+	2.96677i	0.456954	+	0.359773i
$69$	5.62738			0.677457
$70$	0.0353631	−	3.74149i	0.00422670	−	0.447194i
$71$		−	3.06734i		−	0.364026i	−0.983296	−	0.182013i	$-0.941739\pi$
$71$		−	3.06734i		−	0.364026i	0.983296	−	0.182013i	$-0.0582613\pi$
$72$	1.97373	+	6.19255i	0.232606	+	0.729799i
$73$	8.69332	+	5.01909i	1.01748	+	0.587440i	0.913372	−	0.407126i	$-0.133469\pi$
$73$	8.69332	+	5.01909i	1.01748	+	0.587440i	0.104104	+	0.994566i	$0.466802\pi$
$74$	4.80220	−	2.33108i	0.558244	−	0.270982i
$75$	−0.725648	+	0.418953i	−0.0837906	+	0.0483765i
$76$	−8.69716	+	3.47608i	−0.997632	+	0.398734i
$77$	−13.1807	+	8.74583i	−1.50208	+	0.996680i
$78$	2.82124	+	1.91064i	0.319443	+	0.216337i
$79$	11.9852	−	6.91965i	1.34844	−	0.778522i	0.360411	−	0.932794i	$-0.382636\pi$
$79$	11.9852	−	6.91965i	1.34844	−	0.778522i	0.988028	+	0.154272i	$0.0493031\pi$
$80$	−0.938618	−	3.88832i	−0.104941	−	0.434727i
$81$	−1.58707	+	2.74889i	−0.176341	+	0.305432i
$82$	0.181717	−	2.53063i	0.0200673	−	0.279462i
$83$		−	17.4215i		−	1.91226i	−0.292940	−	0.956131i	$-0.594634\pi$
$83$		−	17.4215i		−	1.91226i	0.292940	−	0.956131i	$-0.405366\pi$
$84$	−1.89840	−	4.00681i	−0.207132	−	0.437179i
$85$		−	2.39795i		−	0.260094i
$86$	9.50393	+	0.682449i	1.02484	+	0.0735903i
$87$	0.548973	−	0.950850i	0.0588561	−	0.101942i
$88$	−11.3857	+	12.5032i	−1.21372	+	1.33285i
$89$	−11.0658	+	6.38886i	−1.17297	+	0.677217i	−0.954379	−	0.298598i	$-0.903481\pi$
$89$	−11.0658	+	6.38886i	−1.17297	+	0.677217i	−0.218596	+	0.975815i	$0.570148\pi$
$90$	1.82227	−	2.69075i	0.192084	−	0.283630i
$91$	6.81228	+	3.38674i	0.714121	+	0.355026i
$92$	12.4727	−	4.98508i	1.30037	−	0.519731i
$93$	6.30988	−	3.64301i	0.654304	−	0.377762i
$94$	−1.08025	−	2.22541i	−0.111420	−	0.229533i
$95$	4.05564	+	2.34152i	0.416100	+	0.240235i
$96$	−3.01266	−	3.65932i	−0.307479	−	0.373478i
$97$			3.76431i			0.382208i	0.981570	+	0.191104i	$0.0612067\pi$
$97$			3.76431i			0.382208i	−0.981570	+	0.191104i	$0.938793\pi$
$98$	−5.39515	−	8.30014i	−0.544992	−	0.838441i
$99$	−13.7387			−1.38079
$100$	−1.23721	+	1.57140i	−0.123721	+	0.157140i
$101$	−8.14097	+	14.1006i	−0.810057	+	1.40306i	0.102767	+	0.994705i	$0.467230\pi$
$101$	−8.14097	+	14.1006i	−0.810057	+	1.40306i	−0.912824	+	0.408354i	$0.866103\pi$
$102$	−1.24086	−	2.55626i	−0.122863	−	0.253108i
$103$	1.13180	+	1.96034i	0.111520	+	0.193158i	0.916383	−	0.400302i	$-0.131095\pi$
$103$	1.13180	+	1.96034i	0.111520	+	0.193158i	−0.804864	+	0.593460i	$0.797762\pi$
$104$	7.94564	+	1.73556i	0.779134	+	0.170186i
$105$	−0.986898	+	1.98511i	−0.0963114	+	0.193726i
$106$	0.134459	+	0.0910605i	0.0130599	+	0.00884458i
$107$	1.21095	+	2.09743i	0.117067	+	0.202766i	0.918604	−	0.395179i	$-0.129317\pi$
$107$	1.21095	+	2.09743i	0.117067	+	0.202766i	−0.801537	+	0.597945i	$0.795984\pi$
$108$	1.26851	−	8.78722i	0.122062	−	0.845551i
$109$	−6.35090	−	3.66669i	−0.608306	−	0.351206i	0.163996	−	0.986461i	$-0.447561\pi$
$109$	−6.35090	−	3.66669i	−0.608306	−	0.351206i	−0.772302	+	0.635255i	$0.780895\pi$
$110$	8.43353	+	0.605586i	0.804106	+	0.0577404i
$111$	−3.16275			−0.300195
$112$	−7.75715	−	7.19908i	−0.732981	−	0.680249i
$113$	15.0661			1.41730			0.708651	−	0.705559i	$-0.249304\pi$
$113$	15.0661			1.41730			0.708651	+	0.705559i	$0.249304\pi$
$114$	5.53506	+	0.397456i	0.518406	+	0.0372251i
$115$	−5.81623	−	3.35800i	−0.542366	−	0.313135i
$116$	0.374437	−	2.59380i	0.0347656	−	0.240829i
$117$	3.30376	+	5.72228i	0.305433	+	0.529025i
$118$	−3.53390	−	2.39328i	−0.325322	−	0.220319i
$119$	−3.50775	−	5.28646i	−0.321555	−	0.484609i
$120$	−0.505744	+	2.31537i	−0.0461679	+	0.211363i
$121$	−12.3728	−	21.4303i	−1.12480	−	1.94821i
$122$	−5.43611	−	11.1988i	−0.492162	−	1.01389i
$123$	−0.751617	+	1.30184i	−0.0677710	+	0.117383i
$124$	10.7582	−	13.6641i	0.966112	−	1.22708i
$125$	1.00000			0.0894427
$126$	0.0812614	−	8.59762i	0.00723934	−	0.765937i
$127$			5.22434i			0.463585i	0.972765	+	0.231793i	$0.0744591\pi$
$127$			5.22434i			0.463585i	−0.972765	+	0.231793i	$0.925541\pi$
$128$	−9.91900	−	5.44182i	−0.876724	−	0.480993i
$129$	−4.88913	−	2.82274i	−0.430464	−	0.248528i
$130$	−1.77579	−	3.65827i	−0.155747	−	0.320851i
$131$	7.76094	−	4.48078i	0.678076	−	0.391487i	−0.121054	−	0.992646i	$-0.538627\pi$
$131$	7.76094	−	4.48078i	0.678076	−	0.391487i	0.799130	+	0.601159i	$0.205294\pi$
$132$	9.30370	−	3.71851i	0.809783	−	0.323655i
$133$	12.3662	−	0.770575i	1.07228	−	0.0668173i
$134$	4.50051	−	6.64543i	0.388785	−	0.574078i
$135$	−3.84442	+	2.21958i	−0.330875	+	0.191031i
$136$	−5.01477	−	4.56654i	−0.430013	−	0.391578i
$137$	10.4348	−	18.0735i	0.891502	−	1.54413i	0.0534263	−	0.998572i	$-0.482986\pi$
$137$	10.4348	−	18.0735i	0.891502	−	1.54413i	0.838075	−	0.545554i	$-0.183681\pi$
$138$	−7.93788	−	0.569995i	−0.675717	−	0.0485212i
$139$			12.8189i			1.08728i	0.839318	+	0.543641i	$0.182955\pi$
$139$			12.8189i			1.08728i	−0.839318	+	0.543641i	$0.817045\pi$
$140$	−0.428857	+	5.27410i	−0.0362450	+	0.445742i
$141$			1.46566i			0.123431i
$142$	−0.310689	+	4.32673i	−0.0260725	+	0.363091i
$143$	−8.59580	+	14.8884i	−0.718817	+	1.24503i
$144$	−2.15686	−	8.93501i	−0.179738	−	0.744584i
$145$	−1.13479	+	0.655173i	−0.0942394	+	0.0544091i
$146$	−11.7543	−	7.96038i	−0.972789	−	0.658806i
$147$	0.728148	+	5.81997i	0.0600566	+	0.480023i
$148$	−7.01000	+	2.80176i	−0.576219	+	0.230303i
$149$	−0.696284	+	0.402000i	−0.0570418	+	0.0329331i	−0.528250	−	0.849089i	$-0.677151\pi$
$149$	−0.696284	+	0.402000i	−0.0570418	+	0.0329331i	0.471208	+	0.882022i	$0.343818\pi$
$150$	1.06602	−	0.517467i	0.0870403	−	0.0422510i
$151$	11.3405	+	6.54743i	0.922875	+	0.532822i	0.884551	−	0.466443i	$-0.154465\pi$
$151$	11.3405	+	6.54743i	0.922875	+	0.532822i	0.0383242	+	0.999265i	$0.487798\pi$
$152$	12.6201	−	4.02237i	1.02363	−	0.326257i
$153$		−	5.51027i		−	0.445479i
$154$	19.4783	−	11.0016i	1.56960	−	0.886537i
$155$	−8.69550			−0.698440
$156$	−3.78606	−	2.98088i	−0.303128	−	0.238661i
$157$	8.58489	−	14.8695i	0.685149	−	1.18671i	−0.288241	−	0.957558i	$-0.593070\pi$
$157$	8.58489	−	14.8695i	0.685149	−	1.18671i	0.973390	−	0.229155i	$-0.0735962\pi$
$158$	−17.6070	+	8.54676i	−1.40074	+	0.679944i
$159$	−0.0481079	−	0.0833254i	−0.00381521	−	0.00660813i
$160$	0.930151	+	5.57986i	0.0735349	+	0.441127i
$161$	−17.7345	+	1.10509i	−1.39767	+	0.0870932i
$162$	2.51713	−	3.71678i	0.197764	−	0.292018i
$163$	−2.93458	−	5.08284i	−0.229854	−	0.398119i	0.727911	−	0.685672i	$-0.240492\pi$
$163$	−2.93458	−	5.08284i	−0.229854	−	0.398119i	−0.957765	+	0.287553i	$0.907158\pi$
$164$	−0.512654	+	3.55126i	−0.0400315	+	0.277307i
$165$	−4.33848	−	2.50482i	−0.337750	−	0.195000i
$166$	−1.76462	+	24.5745i	−0.136961	+	1.90735i
$167$	6.02260			0.466043			0.233022	−	0.972472i	$-0.425139\pi$
$167$	6.02260			0.466043			0.233022	+	0.972472i	$0.425139\pi$
$168$	2.27200	+	5.84422i	0.175289	+	0.450891i
$169$	−4.73183			−0.363987
$170$	−0.242887	+	3.38250i	−0.0186286	+	0.259426i
$171$	9.31950	+	5.38062i	0.712680	+	0.411466i
$172$	−13.3369	−	1.92530i	−1.01693	−	0.146803i
$173$	1.08168	+	1.87352i	0.0822385	+	0.142441i	0.904211	−	0.427086i	$-0.140460\pi$
$173$	1.08168	+	1.87352i	0.0822385	+	0.142441i	−0.821973	+	0.569527i	$0.807126\pi$
$174$	−0.870683	+	1.28565i	−0.0660063	+	0.0974646i
$175$	2.20458	−	1.46282i	0.166651	−	0.110578i
$176$	17.3269	−	16.4836i	1.30606	−	1.24250i
$177$	1.26439	+	2.18998i	0.0950371	+	0.164609i
$178$	16.2564	−	7.89115i	1.21847	−	0.591467i
$179$	5.63498	−	9.76008i	0.421178	−	0.729502i	−0.574877	−	0.818240i	$-0.694950\pi$
$179$	5.63498	−	9.76008i	0.421178	−	0.729502i	0.996055	+	0.0887377i	$0.0282833\pi$
$180$	−2.84300	+	3.61095i	−0.211905	+	0.269144i
$181$	15.2369			1.13255			0.566274	−	0.824217i	$-0.308384\pi$
$181$	15.2369			1.13255			0.566274	+	0.824217i	$0.308384\pi$
$182$	−9.26624	−	5.46728i	−0.686860	−	0.405262i
$183$			7.37559i			0.545219i
$184$	−18.0987	+	5.76851i	−1.33425	+	0.425261i
$185$	3.26889	+	1.88729i	0.240333	+	0.138757i
$186$	−9.26959	+	4.49964i	−0.679680	+	0.329929i
$187$	12.4160	−	7.16838i	0.907948	−	0.524204i
$188$	1.29838	+	3.24854i	0.0946938	+	0.236924i
$189$	−5.22850	+	10.5169i	−0.380317	+	0.764993i
$190$	−5.48363	−	3.71370i	−0.397825	−	0.269420i
$191$	−5.33642	+	3.08099i	−0.386130	+	0.222932i	−0.680482	−	0.732765i	$-0.738230\pi$
$191$	−5.33642	+	3.08099i	−0.386130	+	0.222932i	0.294352	+	0.955697i	$0.404896\pi$
$192$	3.87895	+	5.46693i	0.279939	+	0.394541i
$193$	5.79750	−	10.0416i	0.417313	−	0.722808i	−0.578355	−	0.815785i	$-0.696305\pi$
$193$	5.79750	−	10.0416i	0.417313	−	0.722808i	0.995668	+	0.0929776i	$0.0296385\pi$
$194$	0.381285	−	5.30987i	0.0273747	−	0.381226i
$195$			2.40935i			0.172537i
$196$	6.76958	+	12.2545i	0.483541	+	0.875321i
$197$		−	13.1499i		−	0.936892i	−0.883492	−	0.468446i	$-0.844814\pi$
$197$		−	13.1499i		−	0.936892i	0.883492	−	0.468446i	$-0.155186\pi$
$198$	19.3795	+	1.39158i	1.37724	+	0.0988956i
$199$	−10.0683	+	17.4388i	−0.713724	+	1.23621i	0.249726	+	0.968317i	$0.419659\pi$
$199$	−10.0683	+	17.4388i	−0.713724	+	1.23621i	−0.963450	+	0.267889i	$0.913674\pi$
$200$	1.90435	−	2.09128i	0.134658	−	0.147876i
$201$	−4.11822	+	2.37765i	−0.290477	+	0.167707i
$202$	12.9117	−	19.0654i	0.908467	−	1.34144i
$203$	−1.54334	+	3.10437i	−0.108321	+	0.217884i
$204$	1.49141	+	3.73150i	0.104420	+	0.261258i
$205$	1.55368	−	0.897018i	0.108514	−	0.0626504i
$206$	−1.39793	−	2.87985i	−0.0973987	−	0.200649i
$207$	−13.3652	−	7.71639i	−0.928944	−	0.536326i
$208$	−11.0322	−	3.25296i	−0.764944	−	0.225552i
$209$			27.9988i			1.93672i
$210$	1.59317	−	2.70019i	0.109939	−	0.186331i
$211$	4.31289			0.296912			0.148456	−	0.988919i	$-0.452570\pi$
$211$	4.31289			0.296912			0.148456	+	0.988919i	$0.452570\pi$
$212$	−0.180443	−	0.142068i	−0.0123928	−	0.00975724i
$213$	1.28507	−	2.22581i	0.0880516	−	0.152510i
$214$	−1.49570	−	3.08125i	−0.102244	−	0.210630i
$215$	3.36880	+	5.83493i	0.229750	+	0.397939i
$216$	−2.67939	+	12.2666i	−0.182309	+	0.834637i
$217$	−19.1699	+	12.7199i	−1.30134	+	0.863484i
$218$	8.58706	+	5.81545i	0.581589	+	0.393872i
$219$	4.20553	+	7.28419i	0.284183	+	0.492220i
$220$	−11.8348	−	1.70846i	−0.797905	−	0.115184i
$221$	−5.97138	−	3.44758i	−0.401679	−	0.231909i
$222$	4.46132	+	0.320354i	0.299424	+	0.0215007i
$223$	−11.5948			−0.776447			−0.388224	−	0.921565i	$-0.626911\pi$
$223$	−11.5948			−0.776447			−0.388224	+	0.921565i	$0.626911\pi$
$224$	10.2129	+	10.9406i	0.682378	+	0.731000i
$225$	2.29791			0.153194
$226$	−21.2520	−	1.52604i	−1.41366	−	0.101511i
$227$	16.7181	+	9.65222i	1.10962	+	0.640640i	0.938731	−	0.344650i	$-0.112002\pi$
$227$	16.7181	+	9.65222i	1.10962	+	0.640640i	0.170890	+	0.985290i	$0.445336\pi$
$228$	−7.76739	−	1.12129i	−0.514408	−	0.0742591i
$229$	−8.54131	−	14.7940i	−0.564425	−	0.977613i	−0.997103	−	0.0760647i	$-0.975764\pi$
$229$	−8.54131	−	14.7940i	−0.564425	−	0.977613i	0.432678	−	0.901549i	$-0.357569\pi$
$230$	7.86413	+	5.32585i	0.518545	+	0.351176i
$231$	−13.2286	+	0.824315i	−0.870379	+	0.0542360i
$232$	−0.790899	+	3.62085i	−0.0519251	+	0.237720i
$233$	−6.11671	−	10.5945i	−0.400719	−	0.694066i	0.593094	−	0.805133i	$-0.297906\pi$
$233$	−6.11671	−	10.5945i	−0.400719	−	0.694066i	−0.993813	+	0.111068i	$0.964573\pi$
$234$	−4.08061	−	8.40638i	−0.266758	−	0.549542i
$235$	0.874599	−	1.51485i	0.0570525	−	0.0988179i
$236$	4.74244	+	3.73386i	0.308707	+	0.243054i
$237$	11.5960			0.753244
$238$	4.41251	+	7.81229i	0.286021	+	0.506395i
$239$		−	1.56688i		−	0.101353i	−0.998715	−	0.0506767i	$-0.983862\pi$
$239$		−	1.56688i		−	0.101353i	0.998715	−	0.0506767i	$-0.0161378\pi$
$240$	0.947916	−	3.21479i	0.0611877	−	0.207514i
$241$	19.0828	+	11.0174i	1.22923	+	0.709695i	0.966869	−	0.255275i	$-0.0821659\pi$
$241$	19.0828	+	11.0174i	1.22923	+	0.709695i	0.262360	+	0.964970i	$0.415499\pi$
$242$	15.2822	+	31.4825i	0.982376	+	2.02377i
$243$	−13.8366	+	7.98855i	−0.887617	+	0.512466i
$244$	6.53376	+	16.3474i	0.418281	+	1.04654i
$245$	2.72034	−	6.44979i	0.173796	−	0.412062i
$246$	1.19208	−	1.76022i	0.0760042	−	0.112227i
$247$	11.6618	−	6.73291i	0.742019	−	0.428405i
$248$	−16.5593	+	18.1847i	−1.05152	+	1.15473i
$249$	7.29881	−	12.6419i	0.462543	−	0.801148i
$250$	−1.41058	−	0.101290i	−0.0892130	−	0.00640612i
$251$		−	7.68553i		−	0.485106i	−0.970138	−	0.242553i	$-0.922015\pi$
$251$		−	7.68553i		−	0.485106i	0.970138	−	0.242553i	$-0.0779849\pi$
$252$	−0.985475	+	12.1194i	−0.0620791	+	0.763451i
$253$		−	40.1534i		−	2.52442i
$254$	0.529171	−	7.36936i	0.0332032	−	0.462395i
$255$	1.00463	−	1.74007i	0.0629122	−	0.108967i
$256$	13.4404	+	8.68082i	0.840023	+	0.542551i
$257$	1.93788	−	1.11883i	0.120881	−	0.0697909i	−0.438340	−	0.898809i	$-0.644433\pi$
$257$	1.93788	−	1.11883i	0.120881	−	0.0697909i	0.559221	+	0.829018i	$0.311100\pi$
$258$	6.61060	+	4.47692i	0.411558	+	0.278721i
$259$	9.96728	−	0.621092i	0.619337	−	0.0385928i
$260$	2.13435	+	5.34015i	0.132367	+	0.331182i
$261$	−2.60765	+	1.50553i	−0.161410	+	0.0931900i
$262$	−11.4013	+	5.53440i	−0.704374	+	0.341916i
$263$	15.0365	+	8.68130i	0.927188	+	0.535312i	0.885921	−	0.463836i	$-0.153527\pi$
$263$	15.0365	+	8.68130i	0.927188	+	0.535312i	0.0412668	+	0.999148i	$0.486861\pi$
$264$	−13.5003	+	4.30289i	−0.830884	+	0.264825i
$265$			0.114829i			0.00705388i
$266$	−17.5216	−	0.165607i	−1.07432	−	0.0101540i
$267$	−10.7065			−0.655229
$268$	−7.02145	+	8.91807i	−0.428904	+	0.544758i
$269$	−0.374476	+	0.648612i	−0.0228322	+	0.0395466i	−0.877216	−	0.480096i	$-0.840602\pi$
$269$	−0.374476	+	0.648612i	−0.0228322	+	0.0395466i	0.854384	+	0.519643i	$0.173935\pi$
$270$	5.64769	−	2.74150i	0.343707	−	0.166842i
$271$	−10.8572	−	18.8052i	−0.659527	−	1.14233i	−0.980738	−	0.195327i	$-0.937423\pi$
$271$	−10.8572	−	18.8052i	−0.659527	−	1.14233i	0.321211	−	0.947008i	$-0.395910\pi$
$272$	6.61120	+	6.94942i	0.400863	+	0.421370i
$273$	3.52444	+	5.31161i	0.213309	+	0.321473i
$274$	−16.5497	+	24.4373i	−0.999806	+	1.47631i
$275$	2.98938	+	5.17776i	0.180266	+	0.312231i
$276$	11.1393	+	1.60805i	0.670506	+	0.0967931i
$277$	20.4537	+	11.8089i	1.22894	+	0.709531i	0.966809	−	0.255500i	$-0.0822402\pi$
$277$	20.4537	+	11.8089i	1.22894	+	0.709531i	0.262135	+	0.965031i	$0.415574\pi$
$278$	1.29842	−	18.0821i	0.0778740	−	1.08449i
$279$	−19.9815			−1.19626
$280$	1.13915	−	7.39610i	0.0680771	−	0.442002i
$281$	−14.4129			−0.859803			−0.429901	−	0.902876i	$-0.641452\pi$
$281$	−14.4129			−0.859803			−0.429901	+	0.902876i	$0.641452\pi$
$282$	0.148456	−	2.06744i	0.00884045	−	0.123114i
$283$	10.7892	+	6.22915i	0.641351	+	0.370284i	0.785135	−	0.619325i	$-0.212594\pi$
$283$	10.7892	+	6.22915i	0.641351	+	0.370284i	−0.143784	+	0.989609i	$0.545927\pi$
$284$	0.876505	−	6.07173i	0.0520110	−	0.360291i
$285$	1.96198	+	3.39824i	0.116217	+	0.201295i
$286$	13.6331	−	20.1306i	0.806143	−	1.19035i
$287$	2.11304	−	4.25030i	0.124729	−	0.250887i
$288$	2.13741	+	12.8220i	0.125948	+	0.755545i
$289$	−5.62493	−	9.74266i	−0.330878	−	0.573097i
$290$	1.66708	−	0.809232i	0.0978943	−	0.0475197i
$291$	−1.57707	+	2.73157i	−0.0924495	+	0.160127i
$292$	15.7740	+	12.4194i	0.923106	+	0.726788i
$293$	−8.47355			−0.495030			−0.247515	−	0.968884i	$-0.579614\pi$
$293$	−8.47355			−0.495030			−0.247515	+	0.968884i	$0.579614\pi$
$294$	−0.437609	−	8.28330i	−0.0255219	−	0.483092i
$295$		−	3.01797i		−	0.175713i
$296$	10.1720	−	3.24207i	0.591234	−	0.188442i
$297$	−22.9849	−	13.2703i	−1.33372	−	0.770023i
$298$	1.02288	−	0.496527i	0.0592541	−	0.0287630i
$299$	−16.7242	+	9.65573i	−0.967187	+	0.558406i
$300$	−1.55612	+	0.621953i	−0.0898429	+	0.0359084i
$301$	15.9622	+	7.93564i	0.920047	+	0.457403i
$302$	−15.3335	−	10.3844i	−0.882343	−	0.597553i
$303$	−11.8150	+	6.82137i	−0.678752	+	0.391877i
$304$	−18.2092	+	4.39559i	−1.04437	+	0.252104i
$305$	4.40120	−	7.62310i	0.252012	−	0.436498i
$306$	−0.558133	+	7.77269i	−0.0319064	+	0.444335i
$307$		−	11.9420i		−	0.681565i	−0.940142	−	0.340783i	$-0.889308\pi$
$307$		−	11.9420i		−	0.681565i	0.940142	−	0.340783i	$-0.110692\pi$
$308$	−28.5900	+	13.5458i	−1.62907	+	0.771842i
$309$			1.89668i			0.107899i
$310$	12.2657	+	0.880764i	0.696646	+	0.0500240i
$311$	7.74793	−	13.4198i	0.439345	−	0.760967i	−0.558294	−	0.829643i	$-0.688544\pi$
$311$	7.74793	−	13.4198i	0.439345	−	0.760967i	0.997639	+	0.0686757i	$0.0218774\pi$
$312$	5.03862	+	4.58826i	0.285256	+	0.259759i
$313$	14.9712	−	8.64360i	0.846220	−	0.488565i	−0.0131537	−	0.999913i	$-0.504187\pi$
$313$	14.9712	−	8.64360i	0.846220	−	0.488565i	0.859374	+	0.511348i	$0.170854\pi$
$314$	−13.6158	+	20.1050i	−0.768385	+	1.13459i
$315$	5.06593	−	3.36142i	0.285433	−	0.189395i
$316$	25.7018	−	10.2725i	1.44584	−	0.577873i
$317$	−7.20732	+	4.16115i	−0.404803	+	0.233713i	−0.688554	−	0.725185i	$-0.741754\pi$
$317$	−7.20732	+	4.16115i	−0.404803	+	0.233713i	0.283751	+	0.958898i	$0.408421\pi$
$318$	0.0594202	+	0.122410i	0.00333212	+	0.00686442i
$319$	−6.78466	−	3.91712i	−0.379868	−	0.219317i
$320$	−0.746872	−	7.96506i	−0.0417514	−	0.445260i
$321$			2.02933i			0.113266i
$322$	25.1278	+	0.237499i	1.40032	+	0.0132353i
$323$	−11.2297			−0.624837
$324$	−3.92708	+	4.98786i	−0.218171	+	0.277103i
$325$	1.43772	−	2.49021i	0.0797504	−	0.138132i
$326$	3.62462	+	7.46700i	0.200749	+	0.413559i
$327$	−3.07235	−	5.32146i	−0.169901	−	0.294277i
$328$	1.08285	−	4.95741i	0.0597901	−	0.273727i
$329$	−0.287823	−	4.61898i	−0.0158682	−	0.254653i
$330$	5.86607	+	3.97270i	0.322916	+	0.218690i
$331$	12.6436	+	21.8993i	0.694953	+	1.20369i	0.970197	+	0.242319i	$0.0779082\pi$
$331$	12.6436	+	21.8993i	0.694953	+	1.20369i	−0.275244	+	0.961375i	$0.588759\pi$
$332$	4.97828	−	34.4856i	0.273219	−	1.89264i
$333$	7.51162	+	4.33683i	0.411634	+	0.237657i
$334$	−8.49537	−	0.610027i	−0.464846	−	0.0333792i
$335$	5.67523			0.310071
$336$	−2.61288	−	8.47388i	−0.142544	−	0.462288i
$337$	−0.379048			−0.0206481			−0.0103240	−	0.999947i	$-0.503286\pi$
$337$	−0.379048			−0.0206481			−0.0103240	+	0.999947i	$0.503286\pi$
$338$	6.67463	+	0.479285i	0.363052	+	0.0260697i
$339$	10.9327	+	6.31200i	0.593783	+	0.342821i
$340$	0.685224	−	4.74669i	0.0371615	−	0.257425i
$341$	−25.9942	−	45.0232i	−1.40766	−	2.43815i
$342$	−12.6009	−	8.53377i	−0.681379	−	0.461453i
$343$	−3.43764	−	18.1984i	−0.185615	−	0.982623i
$344$	18.6178	+	4.06668i	1.00381	+	0.219261i
$345$	−2.81369	−	4.87345i	−0.151484	−	0.262378i
$346$	−1.33603	−	2.75232i	−0.0718253	−	0.147965i
$347$	4.89803	−	8.48364i	0.262940	−	0.455426i	−0.704082	−	0.710119i	$-0.748641\pi$
$347$	4.89803	−	8.48364i	0.262940	−	0.455426i	0.967022	+	0.254693i	$0.0819745\pi$
$348$	1.35839	−	1.72532i	0.0728174	−	0.0924867i
$349$	6.73905			0.360733			0.180366	−	0.983599i	$-0.442272\pi$
$349$	6.73905			0.360733			0.180366	+	0.983599i	$0.442272\pi$
$350$	−3.25791	+	1.84012i	−0.174142	+	0.0983585i
$351$			12.7645i			0.681321i
$352$	−26.1106	+	21.4964i	−1.39170	+	1.14576i
$353$	18.5926	+	10.7345i	0.989587	+	0.571338i	0.905151	−	0.425091i	$-0.139758\pi$
$353$	18.5926	+	10.7345i	0.989587	+	0.571338i	0.0844361	+	0.996429i	$0.473091\pi$
$354$	−1.56170	−	3.21722i	−0.0830033	−	0.170993i
$355$	−2.65639	+	1.53367i	−0.140987	+	0.0813986i
$356$	−23.7302	+	9.48451i	−1.25770	+	0.502678i
$357$	−0.330614	−	5.30570i	−0.0174980	−	0.280807i
$358$	−8.93720	+	13.1966i	−0.472346	+	0.697463i
$359$	4.15852	−	2.40092i	0.219478	−	0.126716i	−0.386231	−	0.922402i	$-0.626223\pi$
$359$	4.15852	−	2.40092i	0.219478	−	0.126716i	0.605709	+	0.795687i	$0.292890\pi$
$360$	4.37604	−	4.80557i	0.230638	−	0.253276i
$361$	1.46546	−	2.53825i	0.0771294	−	0.133592i
$362$	−21.4928	−	1.54334i	−1.12964	−	0.0811160i
$363$		−	20.7345i		−	1.08828i
$364$	12.5170	+	8.65062i	0.656070	+	0.453416i
$365$		−	10.0382i		−	0.525423i
$366$	0.747070	−	10.4039i	0.0390500	−	0.543819i
$367$	5.81465	−	10.0713i	0.303522	−	0.525716i	−0.673409	−	0.739270i	$-0.735171\pi$
$367$	5.81465	−	10.0713i	0.303522	−	0.525716i	0.976931	+	0.213554i	$0.0685040\pi$
$368$	26.1139	−	6.30376i	1.36128	−	0.328606i
$369$	3.57022	−	2.06127i	0.185858	−	0.107305i
$370$	−4.41987	−	2.99328i	−0.229778	−	0.155613i
$371$	0.167973	+	0.253149i	0.00872075	+	0.0131429i
$372$	13.5313	−	5.40819i	0.701564	−	0.280402i
$373$	−25.2282	+	14.5655i	−1.30627	+	0.754174i	−0.981471	−	0.191610i	$-0.938629\pi$
$373$	−25.2282	+	14.5655i	−1.30627	+	0.754174i	−0.324797	+	0.945784i	$0.605296\pi$
$374$	−18.2399	+	8.85397i	−0.943161	+	0.457828i
$375$	0.725648	+	0.418953i	0.0374723	+	0.0216346i
$376$	−1.50242	−	4.71384i	−0.0774815	−	0.243098i
$377$			3.76782i			0.194053i
$378$	8.44048	−	14.3054i	0.434131	−	0.735789i
$379$	2.52399			0.129649			0.0648243	−	0.997897i	$-0.479351\pi$
$379$	2.52399			0.129649			0.0648243	+	0.997897i	$0.479351\pi$
$380$	7.35895	+	5.79392i	0.377506	+	0.297222i
$381$	−2.18875	+	3.79103i	−0.112133	+	0.194221i
$382$	7.83953	−	3.80546i	0.401105	−	0.194704i
$383$	11.6539	+	20.1851i	0.595485	+	1.03141i	0.993478	+	0.114022i	$0.0363734\pi$
$383$	11.6539	+	20.1851i	0.595485	+	1.03141i	−0.397993	+	0.917388i	$0.630293\pi$
$384$	−4.91784	−	8.10444i	−0.250962	−	0.413578i
$385$	14.1644	+	7.04187i	0.721887	+	0.358887i
$386$	−9.19495	+	13.5772i	−0.468011	+	0.691062i
$387$	7.74121	+	13.4082i	0.393508	+	0.681575i
$388$	−1.07567	+	7.45138i	−0.0546088	+	0.378287i
$389$	0.383453	+	0.221387i	0.0194418	+	0.0112248i	0.509689	−	0.860358i	$-0.329760\pi$
$389$	0.383453	+	0.221387i	0.0194418	+	0.0112248i	−0.490248	+	0.871583i	$0.663094\pi$
$390$	0.244042	−	3.39859i	0.0123576	−	0.172094i
$391$	16.1046			0.814445
$392$	−8.30779	−	17.9717i	−0.419607	−	0.907706i
$393$	7.50895			0.378776
$394$	−1.33195	+	18.5490i	−0.0671026	+	0.934486i
$395$	−11.9852	−	6.91965i	−0.603041	−	0.348166i
$396$	−27.1954	−	3.92589i	−1.36662	−	0.197283i
$397$	4.05153	+	7.01745i	0.203340	+	0.352196i	0.949603	−	0.313456i	$-0.101487\pi$
$397$	4.05153	+	7.01745i	0.203340	+	0.352196i	−0.746262	+	0.665652i	$0.768154\pi$
$398$	15.9685	−	23.5791i	0.800431	−	1.18191i
$399$	9.29634	+	4.62169i	0.465399	+	0.231374i
$400$	−2.89807	+	2.75702i	−0.144904	+	0.137851i
$401$	−1.01905	−	1.76504i	−0.0508889	−	0.0881421i	0.839459	−	0.543423i	$-0.182872\pi$
$401$	−1.01905	−	1.76504i	−0.0508889	−	0.0881421i	−0.890348	+	0.455281i	$0.849539\pi$
$402$	6.04991	−	2.93674i	0.301742	−	0.146471i
$403$	−12.5017	+	21.6536i	−0.622755	+	1.07864i
$404$	−20.1442	+	25.5855i	−1.00221	+	1.27293i
$405$	3.17414			0.157724
$406$	2.49145	−	4.22265i	0.123649	−	0.209566i
$407$			22.5674i			1.11862i
$408$	−1.72579	−	5.41465i	−0.0854394	−	0.268065i
$409$	−27.1993	−	15.7035i	−1.34492	−	0.776490i	−0.357395	−	0.933953i	$-0.616335\pi$
$409$	−27.1993	−	15.7035i	−1.34492	−	0.776490i	−0.987525	+	0.157463i	$0.949668\pi$
$410$	−2.28245	+	1.10795i	−0.112722	+	0.0547175i
$411$	15.1439	−	8.74335i	0.746995	−	0.431278i
$412$	1.68020	+	4.20386i	0.0827776	+	0.207109i
$413$	−4.41473	−	6.65334i	−0.217235	−	0.327390i
$414$	18.0711	+	12.2384i	0.888145	+	0.601482i
$415$	−15.0875	+	8.71077i	−0.740616	+	0.427595i
$416$	15.2323	+	5.70601i	0.746825	+	0.279760i
$417$	−5.37051	+	9.30199i	−0.262995	+	0.455521i
$418$	2.83599	−	39.4946i	0.138713	−	1.93175i
$419$		−	18.1384i		−	0.886117i	−0.896493	−	0.443059i	$-0.853893\pi$
$419$		−	18.1384i		−	0.886117i	0.896493	−	0.443059i	$-0.146107\pi$
$420$	−2.52080	+	3.64747i	−0.123002	+	0.177978i
$421$			38.6453i			1.88345i	0.336377	+	0.941727i	$0.390798\pi$
$421$			38.6453i			1.88345i	−0.336377	+	0.941727i	$0.609202\pi$
$422$	−6.08368	−	0.436851i	−0.296149	−	0.0212656i
$423$	2.00975	−	3.48099i	0.0977175	−	0.169252i
$424$	0.240139	+	0.218675i	0.0116622	+	0.0106198i
$425$	−2.07668	+	1.19897i	−0.100734	+	0.0581588i
$426$	−2.03815	+	3.00952i	−0.0987486	+	0.145812i
$427$	−1.44840	−	23.2439i	−0.0700928	−	1.12485i
$428$	1.79771	+	4.49786i	0.0868954	+	0.217412i
$429$	−12.4750	+	7.20247i	−0.602301	+	0.347739i
$430$	−4.16095	−	8.57187i	−0.200659	−	0.413372i
$431$	3.59352	+	2.07472i	0.173094	+	0.0999358i	0.584044	−	0.811722i	$-0.301470\pi$
$431$	3.59352	+	2.07472i	0.173094	+	0.0999358i	−0.410950	+	0.911658i	$0.634803\pi$
$432$	5.02198	−	17.0317i	0.241620	−	0.819436i
$433$			21.7089i			1.04326i	0.853170	+	0.521632i	$0.174677\pi$
$433$			21.7089i			1.04326i	−0.853170	+	0.521632i	$0.825323\pi$
$434$	28.3291	−	16.0008i	1.35984	−	0.768061i
$435$	−1.09795			−0.0526425
$436$	−11.5237	−	9.07295i	−0.551886	−	0.434515i
$437$	−15.7257	+	27.2376i	−0.752260	+	1.30295i
$438$	−5.19443	−	10.7009i	−0.248199	−	0.511310i
$439$	−3.86516	−	6.69465i	−0.184474	−	0.319518i	0.758925	−	0.651178i	$-0.225725\pi$
$439$	−3.86516	−	6.69465i	−0.184474	−	0.319518i	−0.943399	+	0.331660i	$0.892391\pi$
$440$	16.5210	+	3.60867i	0.787606	+	0.172036i
$441$	6.25111	−	14.8210i	0.297672	−	0.705764i
$442$	8.07392	+	5.46793i	0.384037	+	0.260083i
$443$	−8.93181	−	15.4704i	−0.424363	−	0.735019i	0.571998	−	0.820255i	$-0.306169\pi$
$443$	−8.93181	−	15.4704i	−0.424363	−	0.735019i	−0.996361	+	0.0852368i	$0.972835\pi$
$444$	−6.26060	−	0.903770i	−0.297115	−	0.0428910i
$445$	11.0658	+	6.38886i	0.524570	+	0.302861i
$446$	16.3555	+	1.17444i	0.774453	+	0.0556111i
$447$	−0.673676			−0.0318638
$448$	−13.2980	−	16.4671i	−0.628269	−	0.777996i
$449$	29.3236			1.38387			0.691933	−	0.721961i	$-0.256759\pi$
$449$	29.3236			1.38387			0.691933	+	0.721961i	$0.256759\pi$
$450$	−3.24139	−	0.232755i	−0.152801	−	0.0109722i
$451$	9.28909	+	5.36306i	0.437406	+	0.252537i
$452$	29.8231	+	4.30521i	1.40276	+	0.202500i
$453$	5.48613	+	9.50226i	0.257761	+	0.446455i
$454$	−22.6046	−	15.3086i	−1.06089	−	0.718469i
$455$	−0.473142	−	7.59298i	−0.0221812	−	0.355964i
$456$	10.8430	+	2.36842i	0.507768	+	0.110912i
$457$	−4.64207	−	8.04029i	−0.217147	−	0.376109i	0.736788	−	0.676124i	$-0.236342\pi$
$457$	−4.64207	−	8.04029i	−0.217147	−	0.376109i	−0.953935	+	0.300015i	$0.903008\pi$
$458$	10.5497	+	21.7333i	0.492957	+	1.01553i
$459$	5.32243	−	9.21872i	0.248430	−	0.430293i
$460$	−10.5535	−	8.30911i	−0.492061	−	0.387414i
$461$	0.401756			0.0187116			0.00935582	−	0.999956i	$-0.497022\pi$
$461$	0.401756			0.0187116			0.00935582	+	0.999956i	$0.497022\pi$
$462$	18.7435	+	0.177157i	0.872028	+	0.00824207i
$463$		−	9.04694i		−	0.420447i	−0.977653	−	0.210223i	$-0.932581\pi$
$463$		−	9.04694i		−	0.420447i	0.977653	−	0.210223i	$-0.0674191\pi$
$464$	1.48238	−	5.02739i	0.0688179	−	0.233391i
$465$	−6.30988	−	3.64301i	−0.292614	−	0.168940i
$466$	7.55501	+	15.5639i	0.349979	+	0.720984i
$467$	−10.4257	+	6.01931i	−0.482446	+	0.278540i	−0.721435	−	0.692482i	$-0.756517\pi$
$467$	−10.4257	+	6.01931i	−0.482446	+	0.278540i	0.238989	+	0.971022i	$0.423184\pi$
$468$	4.90456	+	12.2712i	0.226713	+	0.567237i
$469$	12.5115	−	8.30181i	0.577727	−	0.383342i
$470$	−1.38713	+	2.04823i	−0.0639836	+	0.0944778i
$471$	12.4592	−	7.19333i	0.574091	−	0.331451i
$472$	−6.31140	−	5.74727i	−0.290506	−	0.264540i
$473$	−20.1413	+	34.8857i	−0.926096	+	1.60405i
$474$	−16.3572	−	1.17456i	−0.751310	−	0.0539493i
$475$		−	4.68305i		−	0.214873i
$476$	−5.43290	−	11.4668i	−0.249017	−	0.525580i
$477$			0.263867i			0.0120816i
$478$	−0.158709	+	2.21022i	−0.00725919	+	0.101093i
$479$	−1.59624	+	2.76477i	−0.0729340	+	0.126325i	−0.900186	−	0.435506i	$-0.856570\pi$
$479$	−1.59624	+	2.76477i	−0.0729340	+	0.126325i	0.827252	+	0.561831i	$0.189903\pi$
$480$	−1.66274	+	4.43870i	−0.0758932	+	0.202598i
$481$	9.39950	−	5.42680i	0.428580	−	0.247441i
$482$	−25.8018	−	17.4739i	−1.17524	−	0.795913i
$483$	−13.3320	−	6.62800i	−0.606625	−	0.301585i
$484$	−18.3679	−	45.9565i	−0.834905	−	2.08893i
$485$	3.25999	−	1.88216i	0.148028	−	0.0854643i
$486$	20.3268	−	9.86700i	0.922041	−	0.447576i
$487$	3.30907	+	1.91049i	0.149948	+	0.0865727i	0.573097	−	0.819488i	$-0.305742\pi$
$487$	3.30907	+	1.91049i	0.149948	+	0.0865727i	−0.423149	+	0.906060i	$0.639075\pi$
$488$	−7.56057	−	23.7212i	−0.342251	−	1.07381i
$489$		−	4.91781i		−	0.222391i
$490$	−4.49056	+	8.82241i	−0.202863	+	0.398556i
$491$	−42.7678			−1.93008			−0.965041	−	0.262097i	$-0.915586\pi$
$491$	−42.7678			−1.93008			−0.965041	+	0.262097i	$0.915586\pi$
$492$	−1.85982	+	2.36219i	−0.0838471	+	0.106496i
$493$	1.57107	−	2.72117i	0.0707574	−	0.122555i
$494$	−17.1318	+	8.31611i	−0.770797	+	0.374160i
$495$	6.86934	+	11.8980i	0.308754	+	0.534777i
$496$	25.2002	−	23.9737i	1.13152	−	1.07645i
$497$	−3.61275	+	7.26690i	−0.162054	+	0.325965i
$498$	−11.5761	+	17.0931i	−0.518735	+	0.765962i
$499$	−3.71383	−	6.43253i	−0.166254	−	0.287960i	0.770846	−	0.637021i	$-0.219834\pi$
$499$	−3.71383	−	6.43253i	−0.166254	−	0.287960i	−0.937100	+	0.349062i	$0.886500\pi$
$500$	1.97948	+	0.285754i	0.0885251	+	0.0127793i
$501$	4.37029	+	2.52319i	0.195250	+	0.112728i
$502$	−0.778464	+	10.8411i	−0.0347445	+	0.483860i
$503$	−41.0916			−1.83219			−0.916093	−	0.400966i	$-0.868674\pi$
$503$	−41.0916			−1.83219			−0.916093	+	0.400966i	$0.868674\pi$
$504$	2.61766	−	16.9956i	0.116600	−	0.757044i
$505$	16.2819			0.724537
$506$	−4.06712	+	56.6396i	−0.180805	+	2.51794i
$507$	−3.43364	−	1.98241i	−0.152493	−	0.0880421i
$508$	−1.49288	+	10.3415i	−0.0662358	+	0.458829i
$509$	17.7683	+	30.7755i	0.787564	+	1.36410i	0.927455	+	0.373934i	$0.121991\pi$
$509$	17.7683	+	30.7755i	0.787564	+	1.36410i	−0.139891	+	0.990167i	$0.544675\pi$
$510$	−1.59336	+	2.35275i	−0.0705551	+	0.104181i
$511$	−14.6840	−	22.1300i	−0.649582	−	0.978972i
$512$	−18.0794	−	13.6064i	−0.799006	−	0.601323i
$513$	10.3944	+	18.0036i	0.458923	+	0.794878i
$514$	−2.84686	+	1.38192i	−0.125569	+	0.0609538i
$515$	1.13180	−	1.96034i	0.0498731	−	0.0863827i
$516$	−8.87132	−	6.98465i	−0.390538	−	0.307482i
$517$	10.4580			0.459944
$518$	−14.1226	−	0.133481i	−0.620510	−	0.00586482i
$519$			1.81269i			0.0795683i
$520$	−2.46978	−	7.74891i	−0.108307	−	0.339812i
$521$	−31.1264	−	17.9708i	−1.36367	−	0.787316i	−0.373561	−	0.927606i	$-0.621863\pi$
$521$	−31.1264	−	17.9708i	−1.36367	−	0.787316i	−0.990111	+	0.140289i	$0.955197\pi$
$522$	3.83080	−	1.85954i	0.167670	−	0.0813901i
$523$	−26.6453	+	15.3837i	−1.16512	+	0.672681i	−0.952525	−	0.304460i	$-0.901524\pi$
$523$	−26.6453	+	15.3837i	−1.16512	+	0.672681i	−0.212592	+	0.977141i	$0.568191\pi$
$524$	16.6430	−	6.65189i	0.727054	−	0.290589i
$525$	2.21260	−	0.137874i	0.0965658	−	0.00601731i
$526$	−20.3308	−	13.7687i	−0.886466	−	0.600345i
$527$	18.0578	−	10.4257i	0.786610	−	0.454150i
$528$	19.4791	−	4.70214i	0.847718	−	0.204634i
$529$	11.0523	−	19.1432i	0.480536	−	0.832312i
$530$	0.0116310	−	0.161976i	0.000505217	−	0.00703577i
$531$		−	6.93502i		−	0.300954i
$532$	24.6988	+	2.00835i	1.07083	+	0.0870732i
$533$		−	5.15865i		−	0.223446i
$534$	15.1024	+	1.08446i	0.653546	+	0.0469292i
$535$	1.21095	−	2.09743i	0.0523540	−	0.0906798i
$536$	10.8076	−	11.8685i	0.466819	−	0.512640i
$537$	8.17803	−	4.72159i	0.352908	−	0.203752i
$538$	0.593927	−	0.876990i	0.0256060	−	0.0378097i
$539$	41.5276	−	5.19560i	1.78872	−	0.223790i
$540$	−8.24421	+	3.29505i	−0.354774	+	0.141796i
$541$	6.51224	−	3.75984i	0.279983	−	0.161648i	−0.353433	−	0.935460i	$-0.614986\pi$
$541$	6.51224	−	3.75984i	0.279983	−	0.161648i	0.633416	+	0.773812i	$0.281652\pi$
$542$	13.4102	+	27.6260i	0.576016	+	1.18664i
$543$	11.0566	+	6.38354i	0.474484	+	0.273944i
$544$	−8.62173	−	10.4724i	−0.369654	−	0.448999i
$545$			7.33339i			0.314128i
$546$	−4.43350	−	7.84944i	−0.189736	−	0.335925i
$547$	10.8177			0.462531			0.231265	−	0.972891i	$-0.425713\pi$
$547$	10.8177			0.462531			0.231265	+	0.972891i	$0.425713\pi$
$548$	25.8200	−	32.7944i	1.10298	−	1.40091i
$549$	10.1136	−	17.5172i	0.431637	−	0.747617i
$550$	−3.69231	−	7.60645i	−0.157441	−	0.324340i
$551$	3.06820	+	5.31428i	0.130710	+	0.226396i
$552$	−15.5500	−	3.39658i	−0.661852	−	0.144568i
$553$	−36.5445	+	2.27720i	−1.55403	+	0.0968364i
$554$	−27.6555	−	18.7292i	−1.17497	−	0.795729i
$555$	1.58137	+	2.73902i	0.0671256	+	0.116265i
$556$	−3.66305	+	25.3747i	−0.155348	+	1.07613i
$557$	−20.6521	−	11.9235i	−0.875057	−	0.505214i	−0.00603158	−	0.999982i	$-0.501920\pi$
$557$	−20.6521	−	11.9235i	−0.875057	−	0.505214i	−0.869025	+	0.494767i	$0.835253\pi$
$558$	28.1856	+	2.02392i	1.19319	+	0.0856793i
$559$	19.3736			0.819415
$560$	−2.35601	+	10.3174i	−0.0995596	+	0.435991i
$561$	12.0129			0.507183
$562$	20.3306	+	1.45988i	0.857595	+	0.0615813i
$563$	−1.24064	−	0.716284i	−0.0522868	−	0.0301878i	0.473629	−	0.880725i	$-0.342944\pi$
$563$	−1.24064	−	0.716284i	−0.0522868	−	0.0301878i	−0.525916	+	0.850537i	$0.676277\pi$
$564$	−0.418820	+	2.90125i	−0.0176355	+	0.122165i
$565$	−7.53306	−	13.0476i	−0.316918	−	0.548919i
$566$	−14.5881	−	9.87955i	−0.613183	−	0.415269i
$567$	6.99765	−	4.64319i	0.293874	−	0.194995i
$568$	−1.85138	+	8.47589i	−0.0776824	+	0.355641i
$569$	13.6099	+	23.5731i	0.570558	+	0.988235i	0.996509	+	0.0834885i	$0.0266062\pi$
$569$	13.6099	+	23.5731i	0.570558	+	0.988235i	−0.425951	+	0.904746i	$0.640060\pi$
$570$	−2.42332	−	4.99223i	−0.101502	−	0.209101i
$571$	−6.19271	+	10.7261i	−0.259157	+	0.448873i	−0.966016	−	0.258481i	$-0.916778\pi$
$571$	−6.19271	+	10.7261i	−0.259157	+	0.448873i	0.706859	+	0.707354i	$0.250111\pi$
$572$	−21.2696	+	27.0149i	−0.889328	+	1.12955i
$573$	−5.16316			−0.215694
$574$	−3.41113	+	5.78136i	−0.142378	+	0.241309i
$575$			6.71600i			0.280076i
$576$	−1.71625	−	18.3030i	−0.0715103	−	0.762626i
$577$	20.3920	+	11.7733i	0.848929	+	0.490130i	0.860289	−	0.509806i	$-0.170283\pi$
$577$	20.3920	+	11.7733i	0.848929	+	0.490130i	−0.0113602	+	0.999935i	$0.503616\pi$
$578$	6.94759	+	14.3126i	0.288982	+	0.595324i
$579$	8.41389	−	4.85776i	0.349669	−	0.201882i
$580$	−2.43352	+	0.972630i	−0.101046	+	0.0403863i
$581$	−20.5193	+	41.2738i	−0.851285	+	1.71233i
$582$	2.50126	−	3.69335i	0.103681	−	0.153094i
$583$	−0.594557	+	0.343267i	−0.0246240	+	0.0142167i
$584$	−20.9926	−	19.1163i	−0.868681	−	0.791036i
$585$	3.30376	−	5.72228i	0.136594	−	0.236587i
$586$	11.9526	+	0.858282i	0.493759	+	0.0354553i
$587$			28.0077i			1.15600i	0.816036	+	0.578001i	$0.196167\pi$
$587$			28.0077i			1.15600i	−0.816036	+	0.578001i	$0.803833\pi$
$588$	−0.221728	+	11.7286i	−0.00914391	+	0.483679i
$589$			40.7214i			1.67790i
$590$	−0.305688	+	4.25709i	−0.0125850	+	0.175261i
$591$	5.50920	−	9.54221i	0.226618	−	0.392514i
$592$	−14.6768	+	3.54289i	−0.603212	+	0.145612i
$593$	−28.9741	+	16.7282i	−1.18982	+	0.686945i	−0.958266	−	0.285877i	$-0.907715\pi$
$593$	−28.9741	+	16.7282i	−1.18982	+	0.686945i	−0.231557	+	0.972821i	$0.574382\pi$
$594$	31.0779	+	21.0470i	1.27514	+	0.863569i
$595$	−2.82434	+	5.68104i	−0.115786	+	0.232900i
$596$	−1.49315	+	0.596785i	−0.0611620	+	0.0244452i
$597$	−14.6121	+	8.43630i	−0.598034	+	0.345275i
$598$	24.5689	−	11.9262i	1.00470	−	0.487699i
$599$	37.2436	+	21.5026i	1.52173	+	0.878571i	0.999671	+	0.0256625i	$0.00816953\pi$
$599$	37.2436	+	21.5026i	1.52173	+	0.878571i	0.522060	+	0.852909i	$0.325164\pi$
$600$	2.25804	−	0.719696i	0.0921840	−	0.0293815i
$601$			32.3145i			1.31813i	0.752084	+	0.659067i	$0.229049\pi$
$601$			32.3145i			1.31813i	−0.752084	+	0.659067i	$0.770951\pi$
$602$	−21.7122	−	12.8107i	−0.884924	−	0.522124i
$603$	13.0412			0.531078
$604$	20.5773	+	16.2011i	0.837279	+	0.659214i
$605$	−12.3728	+	21.4303i	−0.503026	+	0.871267i
$606$	17.3569	−	8.42536i	0.705076	−	0.342257i
$607$	−6.75765	−	11.7046i	−0.274285	−	0.475075i	0.695670	−	0.718362i	$-0.255108\pi$
$607$	−6.75765	−	11.7046i	−0.274285	−	0.475075i	−0.969954	+	0.243287i	$0.921774\pi$
$608$	26.1307	−	4.35594i	1.05974	−	0.176657i
$609$	−2.42051	+	1.60609i	−0.0980841	+	0.0650822i
$610$	−6.98039	+	10.3072i	−0.282628	+	0.417327i
$611$	−2.51486	−	4.35586i	−0.101740	−	0.176219i
$612$	1.57459	−	10.9075i	0.0636488	−	0.440909i
$613$	−5.63444	−	3.25304i	−0.227573	−	0.131389i	0.381879	−	0.924212i	$-0.375277\pi$
$613$	−5.63444	−	3.25304i	−0.227573	−	0.131389i	−0.609452	+	0.792823i	$0.708610\pi$
$614$	−1.20960	+	16.8451i	−0.0488154	+	0.679815i
$615$	1.50323			0.0606162
$616$	41.7006	−	16.2115i	1.68017	−	0.653182i
$617$	−1.66184			−0.0669033			−0.0334516	−	0.999440i	$-0.510650\pi$
$617$	−1.66184			−0.0669033			−0.0334516	+	0.999440i	$0.510650\pi$
$618$	0.192114	−	2.67543i	0.00772798	−	0.107622i
$619$	−24.5080	−	14.1497i	−0.985061	−	0.568725i	−0.0812670	−	0.996692i	$-0.525897\pi$
$619$	−24.5080	−	14.1497i	−0.985061	−	0.568725i	−0.903794	+	0.427967i	$0.859230\pi$
$620$	−17.2126	−	2.48478i	−0.691274	−	0.0997911i
$621$	−14.9067	−	25.8191i	−0.598184	−	1.03609i
$622$	−12.2884	+	18.1449i	−0.492719	+	0.727546i
$623$	33.7412	−	2.10252i	1.35181	−	0.0842356i
$624$	−6.64264	−	6.98247i	−0.265919	−	0.279523i
$625$	−0.500000	−	0.866025i	−0.0200000	−	0.0346410i
$626$	−21.9935	+	10.6761i	−0.879039	+	0.426702i
$627$	−11.7302	+	20.3173i	−0.468459	+	0.811395i
$628$	21.2426	−	26.9807i	0.847674	−	1.07665i
$629$	−9.05126			−0.360897
$630$	−7.48639	+	4.22844i	−0.298265	+	0.168465i
$631$			48.7721i			1.94159i	0.239918	+	0.970793i	$0.422879\pi$
$631$			48.7721i			1.94159i	−0.239918	+	0.970793i	$0.577121\pi$
$632$	−37.2950	+	11.8869i	−1.48351	+	0.472835i
$633$	3.12964	+	1.80690i	0.124392	+	0.0718178i
$634$	10.5880	−	5.13961i	0.420503	−	0.204120i
$635$	4.52441	−	2.61217i	0.179546	−	0.103661i
$636$	−0.0714181	−	0.178688i	−0.00283191	−	0.00708544i
$637$	−12.1502	−	16.0472i	−0.481409	−	0.635814i
$638$	9.17355	+	6.21264i	0.363184	+	0.245961i
$639$	−6.10415	+	3.52424i	−0.241477	+	0.139417i
$640$	0.246747	+	11.3110i	0.00975353	+	0.447107i
$641$	−10.8633	+	18.8158i	−0.429074	+	0.743178i	−0.996791	−	0.0800459i	$-0.974493\pi$
$641$	−10.8633	+	18.8158i	−0.429074	+	0.743178i	0.567717	+	0.823224i	$0.307827\pi$
$642$	0.205550	−	2.86253i	0.00811241	−	0.112975i
$643$			7.13929i			0.281546i	0.990042	+	0.140773i	$0.0449588\pi$
$643$			7.13929i			0.281546i	−0.990042	+	0.140773i	$0.955041\pi$
$644$	−35.4208	−	2.88020i	−1.39578	−	0.113496i
$645$			5.64548i			0.222290i
$646$	15.8404	+	1.13745i	0.623232	+	0.0447524i
$647$	−4.58700	+	7.94492i	−0.180334	+	0.312347i	−0.941994	−	0.335629i	$-0.891051\pi$
$647$	−4.58700	+	7.94492i	−0.180334	+	0.312347i	0.761661	+	0.647976i	$0.224384\pi$
$648$	6.04469	−	6.63801i	0.237458	−	0.260766i
$649$	15.6263	−	9.02185i	0.613386	−	0.354139i
$650$	−2.28026	+	3.36701i	−0.0894390	+	0.132065i
$651$	−19.2397	+	1.19888i	−0.754062	+	0.0469879i
$652$	−4.35650	−	10.9000i	−0.170614	−	0.426875i
$653$	0.710174	−	0.410019i	0.0277913	−	0.0160453i	−0.486040	−	0.873937i	$-0.661559\pi$
$653$	0.710174	−	0.410019i	0.0277913	−	0.0160453i	0.513831	+	0.857891i	$0.328226\pi$
$654$	3.79479	+	7.81755i	0.148388	+	0.305690i
$655$	−7.76094	−	4.48078i	−0.303245	−	0.175079i
$656$	−2.02958	+	6.88316i	−0.0792416	+	0.268742i
$657$		−	23.0669i		−	0.899924i
$658$	−0.0618571	+	6.54460i	−0.00241144	+	0.255135i
$659$	−10.4133			−0.405645			−0.202823	−	0.979216i	$-0.565011\pi$
$659$	−10.4133			−0.405645			−0.202823	+	0.979216i	$0.565011\pi$
$660$	−7.87217	−	6.19799i	−0.306424	−	0.241256i
$661$	2.76908	−	4.79619i	0.107705	−	0.186550i	−0.807135	−	0.590367i	$-0.798983\pi$
$661$	2.76908	−	4.79619i	0.107705	−	0.186550i	0.914840	+	0.403816i	$0.132317\pi$
$662$	−15.6166	−	32.1714i	−0.606957	−	1.25038i
$663$	−2.88875	−	5.00346i	−0.112190	−	0.194318i
$664$	−10.5153	+	48.1405i	−0.408073	+	1.86821i
$665$	−6.85043	−	10.3241i	−0.265648	−	0.400353i
$666$	−10.1565	−	6.87831i	−0.393555	−	0.266529i
$667$	−4.40014	−	7.62126i	−0.170374	−	0.295097i
$668$	11.9216	+	1.72099i	0.461262	+	0.0665869i
$669$	−8.41377	−	4.85769i	−0.325295	−	0.187809i
$670$	−8.00537	−	0.574841i	−0.309274	−	0.0222081i
$671$	52.6275			2.03166
$672$	2.82737	+	12.2178i	0.109068	+	0.471310i
$673$	28.9492			1.11591			0.557956	−	0.829871i	$-0.311586\pi$
$673$	28.9492			1.11591			0.557956	+	0.829871i	$0.311586\pi$
$674$	0.534679	+	0.0383937i	0.0205951	+	0.00147887i
$675$	3.84442	+	2.21958i	0.147972	+	0.0854316i
$676$	−9.36656	−	1.35214i	−0.360252	−	0.0520054i
$677$	2.77831	+	4.81218i	0.106779	+	0.184947i	0.914464	−	0.404668i	$-0.132613\pi$
$677$	2.77831	+	4.81218i	0.106779	+	0.184947i	−0.807685	+	0.589615i	$0.799280\pi$
$678$	−14.7821	−	10.0110i	−0.567705	−	0.384469i
$679$	4.43366	−	8.91812i	0.170148	−	0.342246i
$680$	−1.44735	+	6.62619i	−0.0555035	+	0.254103i
$681$	8.08766	+	14.0082i	0.309920	+	0.536797i
$682$	32.1065	+	66.1419i	1.22942	+	2.53270i
$683$	−17.5473	+	30.3928i	−0.671428	+	1.16295i	0.306071	+	0.952009i	$0.400986\pi$
$683$	−17.5473	+	30.3928i	−0.671428	+	1.16295i	−0.977499	+	0.210939i	$0.932348\pi$
$684$	16.9102	+	13.3139i	0.646579	+	0.509070i
$685$	−20.8695			−0.797383
$686$	3.00576	+	26.0186i	0.114760	+	0.993393i
$687$		−	14.3136i		−	0.546099i
$688$	−25.8501	−	7.62218i	−0.985525	−	0.290593i
$689$	0.285948	+	0.165092i	0.0108937	+	0.00628950i
$690$	3.47531	+	7.15940i	0.132303	+	0.272554i
$691$	6.28794	−	3.63035i	0.239205	−	0.138105i	−0.375606	−	0.926779i	$-0.622566\pi$
$691$	6.28794	−	3.63035i	0.239205	−	0.138105i	0.614811	+	0.788674i	$0.289232\pi$
$692$	1.60579	+	4.01769i	0.0610431	+	0.152730i
$693$	32.5486	+	16.1816i	1.23642	+	0.614688i
$694$	−7.76838	+	11.4707i	−0.294884	+	0.435424i
$695$	11.1015	−	6.40944i	0.421103	−	0.243124i
$696$	−2.09088	+	2.29611i	−0.0792546	+	0.0870338i
$697$	−2.15100	+	3.72564i	−0.0814750	+	0.141119i
$698$	−9.50598	−	0.682595i	−0.359807	−	0.0258366i
$699$		−	10.2505i		−	0.387708i
$700$	4.78193	−	2.26565i	0.180740	−	0.0856334i
$701$			2.84288i			0.107374i	0.998558	+	0.0536870i	$0.0170973\pi$
$701$			2.84288i			0.107374i	−0.998558	+	0.0536870i	$0.982903\pi$
$702$	1.29291	−	18.0054i	0.0487979	−	0.679571i
$703$	8.83828	−	15.3083i	0.333342	−	0.577365i
$704$	39.0085	−	27.6777i	1.47019	−	1.04314i
$705$	1.26930	−	0.732832i	0.0478047	−	0.0276000i
$706$	−25.1392	−	17.0251i	−0.946125	−	0.640748i
$707$	35.8948	−	23.8175i	1.34996	−	0.895748i
$708$	1.87703	+	4.69633i	0.0705432	+	0.176499i
$709$	14.8464	−	8.57155i	0.557567	−	0.321911i	−0.194601	−	0.980882i	$-0.562341\pi$
$709$	14.8464	−	8.57155i	0.557567	−	0.321911i	0.752168	+	0.658971i	$0.229008\pi$
$710$	3.90240	−	1.89430i	0.146454	−	0.0710918i
$711$	−27.5409	−	15.9008i	−1.03287	−	0.596325i
$712$	34.4341	−	10.9751i	1.29047	−	0.411307i
$713$		−	58.3990i		−	2.18706i
$714$	−0.0710535	+	7.51761i	−0.00265911	+	0.281339i
$715$	17.1916			0.642929
$716$	13.9433	−	17.7097i	0.521087	−	0.661841i
$717$	0.656451	−	1.13701i	0.0245156	−	0.0424623i
$718$	−6.10911	+	2.96548i	−0.227990	+	0.110671i
$719$	−11.0395	−	19.1210i	−0.411705	−	0.713094i	0.583371	−	0.812206i	$-0.301733\pi$
$719$	−11.0395	−	19.1210i	−0.411705	−	0.713094i	−0.995076	+	0.0991116i	$0.968400\pi$
$720$	−6.65951	+	6.33540i	−0.248185	+	0.236107i
$721$	−0.372466	−	5.97733i	−0.0138713	−	0.222607i
$722$	−2.32425	+	3.43197i	−0.0864995	+	0.127725i
$723$	9.23158	+	15.9896i	0.343326	+	0.594658i
$724$	30.1611	+	4.35400i	1.12093	+	0.161815i
$725$	1.13479	+	0.655173i	0.0421451	+	0.0243325i
$726$	−2.10019	+	29.2477i	−0.0779453	+	1.08548i
$727$	−52.6712			−1.95347			−0.976733	−	0.214459i	$-0.931201\pi$
$727$	−52.6712			−1.95347			−0.976733	+	0.214459i	$0.931201\pi$
$728$	−16.7800	−	13.4703i	−0.621910	−	0.499241i
$729$	−3.86488			−0.143144
$730$	−1.01676	+	14.1597i	−0.0376321	+	0.524073i
$731$	−13.9919	−	8.07820i	−0.517507	−	0.298783i
$732$	−2.10761	+	14.5998i	−0.0778994	+	0.539625i
$733$	0.876721	+	1.51853i	0.0323824	+	0.0560880i	0.881762	−	0.471694i	$-0.156357\pi$
$733$	0.876721	+	1.51853i	0.0323824	+	0.0560880i	−0.849380	+	0.527782i	$0.823024\pi$
$734$	−9.22215	+	13.6174i	−0.340396	+	0.502627i
$735$	4.67617	−	3.54058i	0.172483	−	0.130596i
$736$	−37.4743	+	6.24689i	−1.38132	+	0.230264i
$737$	16.9654	+	29.3850i	0.624929	+	1.08241i
$738$	−5.24488	+	2.54596i	−0.193067	+	0.0937181i
$739$	9.69575	−	16.7935i	0.356664	−	0.617760i	−0.630737	−	0.775996i	$-0.717248\pi$
$739$	9.69575	−	16.7935i	0.356664	−	0.617760i	0.987401	+	0.158237i	$0.0505808\pi$
$740$	5.93140	+	4.66996i	0.218042	+	0.171671i
$741$	11.2831			0.414495
$742$	−0.211299	−	0.374102i	−0.00775703	−	0.0137337i
$743$		−	44.8603i		−	1.64576i	−0.568213	−	0.822882i	$-0.692365\pi$
$743$		−	44.8603i		−	1.64576i	0.568213	−	0.822882i	$-0.307635\pi$
$744$	−19.6348	+	6.25812i	−0.719846	+	0.229434i
$745$	0.696284	+	0.402000i	0.0255099	+	0.0147281i
$746$	37.0618	−	17.9905i	1.35693	−	0.658679i
$747$	−34.6697	+	20.0166i	−1.26850	+	0.732368i
$748$	26.6256	−	10.6417i	0.973529	−	0.389101i
$749$	−0.398514	−	6.39535i	−0.0145614	−	0.233681i
$750$	−0.981150	−	0.664468i	−0.0358265	−	0.0242629i
$751$	−40.9012	+	23.6143i	−1.49250	+	0.861698i	−0.999963	−	0.00859066i	$-0.997265\pi$
$751$	−40.9012	+	23.6143i	−1.49250	+	0.861698i	−0.492542	+	0.870289i	$0.663932\pi$
$752$	1.64183	+	6.80143i	0.0598713	+	0.248023i
$753$	3.21988	−	5.57699i	0.117339	−	0.203237i
$754$	0.381641	−	5.31482i	0.0138986	−	0.193554i
$755$		−	13.0949i		−	0.476571i
$756$	−13.3550	+	19.3240i	−0.485716	+	0.702806i
$757$			1.52456i			0.0554110i	0.999616	+	0.0277055i	$0.00882007\pi$
$757$			1.52456i			0.0554110i	−0.999616	+	0.0277055i	$0.991180\pi$
$758$	−3.56029	−	0.255654i	−0.129316	−	0.00928577i
$759$	16.8224	−	29.1372i	0.610614	−	1.05761i
$760$	−9.79354	−	8.91818i	−0.355249	−	0.323496i
$761$	−28.6395	+	16.5350i	−1.03818	+	0.599394i	−0.919317	−	0.393517i	$-0.871258\pi$
$761$	−28.6395	+	16.5350i	−1.03818	+	0.599394i	−0.118863	+	0.992911i	$0.537925\pi$
$762$	3.47141	−	5.12586i	0.125756	−	0.185690i
$763$	10.7274	+	16.1670i	0.388358	+	0.585286i
$764$	−11.4438	+	4.57385i	−0.414021	+	0.165476i
$765$	−4.77204	+	2.75514i	−0.172533	+	0.0996122i
$766$	−14.3942	−	29.6531i	−0.520083	−	1.07141i
$767$	−7.51536	−	4.33899i	−0.271364	−	0.156672i
$768$	6.11612	+	11.9301i	0.220696	+	0.430491i
$769$		−	1.31233i		−	0.0473238i	−0.999720	−	0.0236619i	$-0.992467\pi$
$769$		−	1.31233i		−	0.0473238i	0.999720	−	0.0236619i	$-0.00753252\pi$
$770$	−19.2668	−	11.3678i	−0.694328	−	0.409669i
$771$	1.87495			0.0675248
$772$	14.3455	−	18.2204i	0.516304	−	0.655767i
$773$	−8.51479	+	14.7480i	−0.306256	+	0.530450i	−0.977540	−	0.210749i	$-0.932410\pi$
$773$	−8.51479	+	14.7480i	−0.306256	+	0.530450i	0.671284	+	0.741200i	$0.265743\pi$
$774$	−9.56150	−	19.6974i	−0.343681	−	0.708009i
$775$	4.34775	+	7.53053i	0.156176	+	0.270505i
$776$	2.27207	−	10.4018i	0.0815624	−	0.373404i
$777$	7.49295	+	3.72513i	0.268808	+	0.133638i
$778$	−0.518468	−	0.351124i	−0.0185880	−	0.0125884i
$779$	−4.20078	−	7.27596i	−0.150508	−	0.260688i
$780$	−0.688483	+	4.76927i	−0.0246516	+	0.170767i
$781$	−15.8819	−	9.16944i	−0.568300	−	0.328108i
$782$	−22.7169	−	1.63123i	−0.812353	−	0.0583326i
$783$	−5.81683			−0.207876
$784$	9.89848	+	26.1920i	0.353517	+	0.935428i
$785$	−17.1698			−0.612816
$786$	−10.5920	−	0.760578i	−0.377803	−	0.0271289i
$787$	−26.0083	−	15.0159i	−0.927097	−	0.535260i	−0.0412045	−	0.999151i	$-0.513120\pi$
$787$	−26.0083	−	15.0159i	−0.927097	−	0.535260i	−0.885892	+	0.463891i	$0.846453\pi$
$788$	3.75764	−	26.0300i	0.133861	−	0.927280i
$789$	7.27412	+	12.5991i	0.258966	+	0.448541i
$790$	16.2052	+	10.9747i	0.576555	+	0.390463i
$791$	−35.6935	−	17.7451i	−1.26912	−	0.630943i
$792$	37.9637	+	8.29240i	1.34898	+	0.294658i
$793$	−12.6554	−	21.9198i	−0.449406	−	0.778395i
$794$	−5.00422	−	10.3091i	−0.177593	−	0.365855i
$795$	−0.0481079	+	0.0833254i	−0.00170621	+	0.00295525i
$796$	−24.9133	+	31.6428i	−0.883027	+	1.12155i
$797$	34.7798			1.23196			0.615981	−	0.787761i	$-0.288760\pi$
$797$	34.7798			1.23196			0.615981	+	0.787761i	$0.288760\pi$
$798$	−12.6451	−	7.46089i	−0.447632	−	0.264113i
$799$			4.19448i			0.148390i
$800$	4.36722	−	3.59546i	0.154405	−	0.127119i
$801$	25.4283	+	14.6810i	0.898465	+	0.518729i
$802$	1.25867	+	2.59296i	0.0444452	+	0.0915605i
$803$	51.9753	−	30.0080i	1.83417	−	1.05896i
$804$	−8.83136	+	3.52972i	−0.311458	+	0.124484i
$805$	9.82427	+	14.8060i	0.346260	+	0.521841i
$806$	19.8280	−	29.2779i	0.698410	−	1.03127i
$807$	−0.543476	+	0.313776i	−0.0191313	+	0.0110454i
$808$	31.0066	−	34.0500i	1.09081	−	1.19788i
$809$	6.61556	−	11.4585i	0.232591	−	0.402859i	−0.725979	−	0.687717i	$-0.758613\pi$
$809$	6.61556	−	11.4585i	0.232591	−	0.402859i	0.958570	+	0.284858i	$0.0919464\pi$
$810$	−4.47739	−	0.321508i	−0.157319	−	0.0112966i
$811$		−	17.4547i		−	0.612917i	−0.951884	−	0.306459i	$-0.900856\pi$
$811$		−	17.4547i		−	0.612917i	0.951884	−	0.306459i	$-0.0991441\pi$
$812$	−3.94211	+	5.70403i	−0.138341	+	0.200172i
$813$		−	18.1946i		−	0.638113i
$814$	2.28584	−	31.8331i	0.0801186	−	1.11575i
$815$	−2.93458	+	5.08284i	−0.102794	+	0.178044i
$816$	1.88592	+	7.81262i	0.0660205	+	0.273496i
$817$	27.3253	−	15.7762i	0.955990	−	0.551941i
$818$	36.7763	+	24.9061i	1.28585	+	0.870823i
$819$	−1.08724	−	17.4480i	−0.0379912	−	0.609683i
$820$	3.33181	−	1.33166i	0.116352	−	0.0465035i
$821$	40.5407	−	23.4062i	1.41488	−	0.816882i	0.419039	−	0.907968i	$-0.362367\pi$
$821$	40.5407	−	23.4062i	1.41488	−	0.816882i	0.995843	+	0.0910860i	$0.0290338\pi$
$822$	−22.2474	+	10.7993i	−0.775966	+	0.376668i
$823$	−13.7735	−	7.95213i	−0.480114	−	0.277194i	0.240350	−	0.970686i	$-0.422738\pi$
$823$	−13.7735	−	7.95213i	−0.480114	−	0.277194i	−0.720464	+	0.693492i	$0.756071\pi$
$824$	−1.94425	−	6.10008i	−0.0677313	−	0.212506i
$825$			5.00964i			0.174413i
$826$	5.55342	+	9.83225i	0.193228	+	0.342108i
$827$	14.9258			0.519021			0.259511	−	0.965740i	$-0.416439\pi$
$827$	14.9258			0.519021			0.259511	+	0.965740i	$0.416439\pi$
$828$	−24.2511	−	19.0936i	−0.842785	−	0.663549i
$829$	−9.10972	+	15.7785i	−0.316394	+	0.548010i	−0.979733	−	0.200309i	$-0.935805\pi$
$829$	−9.10972	+	15.7785i	−0.316394	+	0.548010i	0.663339	+	0.748319i	$0.269139\pi$
$830$	22.1644	−	10.7590i	0.769339	−	0.373452i
$831$	9.89479	+	17.1383i	0.343247	+	0.594520i
$832$	−20.9084	−	9.59167i	−0.724870	−	0.332531i
$833$	2.08384	+	16.6558i	0.0722007	+	0.577088i
$834$	8.51773	−	12.5772i	0.294945	−	0.435514i
$835$	−3.01130	−	5.21573i	−0.104210	−	0.180498i
$836$	−8.00079	+	55.4231i	−0.276713	+	1.91685i
$837$	−33.4292	−	19.3003i	−1.15548	−	0.667117i
$838$	−1.83723	+	25.5856i	−0.0634660	+	0.883841i
$839$	28.2947			0.976843			0.488421	−	0.872608i	$-0.337573\pi$
$839$	28.2947			0.976843			0.488421	+	0.872608i	$0.337573\pi$
$840$	3.92524	−	4.88972i	0.135434	−	0.168711i
$841$	27.2830			0.940793
$842$	3.91436	−	54.5123i	0.134898	−	1.87862i
$843$	−10.4587	−	6.03834i	−0.360217	−	0.207971i
$844$	8.53728	+	1.23243i	0.293865	+	0.0424219i
$845$	2.36591	+	4.09788i	0.0813899	+	0.140971i
$846$	−3.18751	+	4.70666i	−0.109589	+	0.161818i
$847$	4.07178	+	65.3440i	0.139908	+	2.24525i
$848$	−0.316586	−	0.332782i	−0.0108716	−	0.0114278i
$849$	5.21944	+	9.04034i	0.179131	+	0.310264i
$850$	3.05077	−	1.48090i	0.104641	−	0.0507946i
$851$	−12.6751	+	21.9538i	−0.434495	+	0.752568i
$852$	3.17981	−	4.03873i	0.108938	−	0.138365i
$853$	−39.5247			−1.35330			−0.676650	−	0.736305i	$-0.736569\pi$
$853$	−39.5247			−1.35330			−0.676650	+	0.736305i	$0.736569\pi$
$854$	−0.311280	+	32.9341i	−0.0106518	+	1.12698i
$855$		−	10.7612i		−	0.368026i
$856$	−2.08022	−	6.52668i	−0.0711006	−	0.223077i
$857$	2.50342	+	1.44535i	0.0855151	+	0.0493722i	0.542148	−	0.840283i	$-0.317611\pi$
$857$	2.50342	+	1.44535i	0.0855151	+	0.0493722i	−0.456633	+	0.889655i	$0.650945\pi$
$858$	18.3266	−	8.89608i	0.625660	−	0.303707i
$859$	12.6042	−	7.27704i	0.430050	−	0.248290i	−0.269318	−	0.963051i	$-0.586798\pi$
$859$	12.6042	−	7.27704i	0.430050	−	0.248290i	0.699368	+	0.714762i	$0.253465\pi$
$860$	5.00112	+	12.5128i	0.170537	+	0.426682i
$861$	3.31400	−	2.19895i	0.112941	−	0.0749402i
$862$	−4.85881	−	3.29055i	−0.165492	−	0.112077i
$863$	12.0583	−	6.96188i	0.410470	−	0.236985i	−0.280521	−	0.959848i	$-0.590507\pi$
$863$	12.0583	−	6.96188i	0.410470	−	0.236985i	0.690992	+	0.722863i	$0.257174\pi$
$864$	−8.80904	+	23.5159i	−0.299689	+	0.800026i
$865$	1.08168	−	1.87352i	0.0367782	−	0.0637016i
$866$	2.19889	−	30.6222i	0.0747213	−	1.04059i
$867$		−	9.42632i		−	0.320135i
$868$	−41.5813	+	19.7009i	−1.41136	+	0.668694i
$869$		−	82.7420i		−	2.80683i
$870$	1.54874	+	0.111211i	0.0525073	+	0.00377039i
$871$	8.15939	−	14.1325i	0.276471	−	0.478861i
$872$	15.3361	+	13.9654i	0.519347	+	0.472927i
$873$	7.49117	−	4.32503i	0.253538	−	0.146380i
$874$	24.9412	−	36.8281i	0.843649	−	1.24573i
$875$	−2.36913	−	1.17781i	−0.0800910	−	0.0398174i
$876$	6.24327	+	15.6207i	0.210941	+	0.527773i
$877$	−13.6311	+	7.86992i	−0.460289	+	0.265748i	−0.712166	−	0.702011i	$-0.752286\pi$
$877$	−13.6311	+	7.86992i	−0.460289	+	0.265748i	0.251877	+	0.967759i	$0.418952\pi$
$878$	4.77402	+	9.83484i	0.161115	+	0.331910i
$879$	−6.14882	−	3.55002i	−0.207394	−	0.119739i
$880$	−22.9387	−	6.76372i	−0.773262	−	0.228005i
$881$			4.77034i			0.160717i	0.996766	+	0.0803584i	$0.0256065\pi$
$881$			4.77034i			0.160717i	−0.996766	+	0.0803584i	$0.974394\pi$
$882$	−10.3189	+	20.2731i	−0.347456	+	0.682632i
$883$	31.2410			1.05134			0.525672	−	0.850688i	$-0.323814\pi$
$883$	31.2410			1.05134			0.525672	+	0.850688i	$0.323814\pi$
$884$	−10.8351	−	8.53077i	−0.364423	−	0.286921i
$885$	1.26439	−	2.18998i	0.0425019	−	0.0736154i
$886$	11.0321	+	22.7269i	0.370629	+	0.763525i
$887$	−18.4386	−	31.9365i	−0.619106	−	1.07232i	−0.989649	−	0.143508i	$-0.954162\pi$
$887$	−18.4386	−	31.9365i	−0.619106	−	1.07232i	0.370543	−	0.928815i	$-0.379172\pi$
$888$	8.73955	+	1.90897i	0.293280	+	0.0640610i
$889$	6.15330	−	12.3771i	0.206375	−	0.415115i
$890$	−14.9621	−	10.1329i	−0.501531	−	0.339654i
$891$	9.48872	+	16.4350i	0.317884	+	0.550592i
$892$	−22.9517	−	3.31327i	−0.768481	−	0.110937i
$893$	−7.09411	−	4.09579i	−0.237395	−	0.137060i
$894$	0.950275	+	0.0682364i	0.0317820	+	0.00228217i
$895$	−11.2700			−0.376713
$896$	17.0899	+	24.5751i	0.570934	+	0.820996i
$897$	−16.1812			−0.540275
$898$	−41.3633	−	2.97018i	−1.38031	−	0.0991161i
$899$	−9.86759	−	5.69706i	−0.329103	−	0.190007i
$900$	4.54867	+	0.656639i	0.151622	+	0.0218880i
$901$	−0.137677	−	0.238463i	−0.00458668	−	0.00794436i
$902$	−12.5598	−	8.50592i	−0.418195	−	0.283216i
$903$	8.25829	+	12.4459i	0.274819	+	0.414174i
$904$	−41.6319	−	9.09362i	−1.38466	−	0.302449i
$905$	−7.61844	−	13.1955i	−0.253245	−	0.438634i
$906$	−6.77616	−	13.9594i	−0.225123	−	0.463770i
$907$	−0.588928	+	1.02005i	−0.0195550	+	0.0338703i	−0.875637	−	0.482969i	$-0.839558\pi$
$907$	−0.588928	+	1.02005i	−0.0195550	+	0.0338703i	0.856082	+	0.516840i	$0.172892\pi$
$908$	30.3351	+	23.8837i	1.00670	+	0.792607i
$909$	37.4145			1.24096
$910$	−0.101685	+	10.7584i	−0.00337081	+	0.356639i
$911$		−	37.7931i		−	1.25214i	−0.779766	−	0.626071i	$-0.784662\pi$
$911$		−	37.7931i		−	1.25214i	0.779766	−	0.626071i	$-0.215338\pi$
$912$	−15.0550	−	4.43913i	−0.498521	−	0.146994i
$913$	−90.2045	−	52.0796i	−2.98533	−	1.72358i
$914$	5.73362	+	11.8117i	0.189651	+	0.390696i
$915$	6.38745	−	3.68779i	0.211162	−	0.121915i
$916$	−12.6799	−	31.7251i	−0.418956	−	1.04823i
$917$	−23.6642	+	1.47459i	−0.781459	+	0.0486951i
$918$	−8.44148	+	12.4646i	−0.278610	+	0.411395i
$919$	37.4585	−	21.6267i	1.23564	−	0.713398i	0.267441	−	0.963574i	$-0.413822\pi$
$919$	37.4585	−	21.6267i	1.23564	−	0.713398i	0.968200	+	0.250177i	$0.0804887\pi$
$920$	14.0450	+	12.7896i	0.463050	+	0.421662i
$921$	5.00313	−	8.66568i	0.164859	−	0.285544i
$922$	−0.566709	−	0.0406937i	−0.0186636	−	0.00134018i
$923$			8.81995i			0.290312i
$924$	−26.4213	−	2.14842i	−0.869198	−	0.0706778i
$925$		−	3.77459i		−	0.124108i
$926$	−0.916361	+	12.7614i	−0.0301135	+	0.419367i
$927$	2.60078	−	4.50468i	0.0854208	−	0.147953i
$928$	−2.60024	+	6.94139i	−0.0853571	+	0.227862i
$929$	30.3878	−	17.5444i	0.996992	−	0.575614i	0.0896350	−	0.995975i	$-0.471430\pi$
$929$	30.3878	−	17.5444i	0.996992	−	0.575614i	0.907357	+	0.420361i	$0.138097\pi$
$930$	8.53160	+	5.77789i	0.279762	+	0.189464i
$931$	−30.2046	−	12.7395i	−0.989917	−	0.417520i
$932$	−9.08050	−	22.7194i	−0.297442	−	0.744199i
$933$	11.2445	−	6.49204i	0.368130	−	0.212540i
$934$	15.3161	−	7.43471i	0.501157	−	0.243271i
$935$	−12.4160	−	7.16838i	−0.406046	−	0.234431i
$936$	−5.67534	−	17.8063i	−0.185504	−	0.582018i
$937$			44.8914i			1.46654i	0.679938	+	0.733270i	$0.262007\pi$
$937$			44.8914i			1.46654i	−0.679938	+	0.733270i	$0.737993\pi$
$938$	−18.4894	+	10.4431i	−0.603699	+	0.340979i
$939$	14.4851			0.472702
$940$	2.16413	−	2.74869i	0.0705860	−	0.0896525i
$941$	28.7781	−	49.8451i	0.938138	−	1.62490i	0.169197	−	0.985582i	$-0.445882\pi$
$941$	28.7781	−	49.8451i	0.938138	−	1.62490i	0.768941	−	0.639320i	$-0.220784\pi$
$942$	−18.3034	+	8.88480i	−0.596356	+	0.289482i
$943$	6.02437	+	10.4345i	0.196180	+	0.339795i
$944$	8.32060	+	8.74628i	0.270813	+	0.284667i
$945$	11.7222	−	0.730444i	0.381322	−	0.0237613i
$946$	31.9444	−	47.1690i	1.03860	−	1.53360i
$947$	−8.60454	−	14.9035i	−0.279610	−	0.484299i	0.691678	−	0.722206i	$-0.256872\pi$
$947$	−8.60454	−	14.9035i	−0.279610	−	0.484299i	−0.971288	+	0.237908i	$0.923538\pi$
$948$	22.9541	+	3.31362i	0.745516	+	0.107621i
$949$	−24.9972	−	14.4321i	−0.811442	−	0.468486i
$950$	−0.474344	+	6.60582i	−0.0153897	+	0.214321i
$951$	−6.97330			−0.226125
$952$	6.50208	+	16.7252i	0.210734	+	0.542066i
$953$	11.6755			0.378207			0.189103	−	0.981957i	$-0.439442\pi$
$953$	11.6755			0.378207			0.189103	+	0.981957i	$0.439442\pi$
$954$	0.0267270	−	0.372206i	0.000865317	−	0.0120506i
$955$	5.33642	+	3.08099i	0.172683	+	0.0996984i
$956$	0.447744	−	3.10162i	0.0144811	−	0.100314i
$957$	−3.28218	−	5.68491i	−0.106098	−	0.183767i
$958$	2.53167	−	3.73825i	0.0817944	−	0.120777i
$959$	−46.0085	+	30.5283i	−1.48569	+	0.985809i
$960$	2.79502	−	6.09274i	0.0902089	−	0.196642i
$961$	−22.3059	−	38.6349i	−0.719545	−	1.24629i
$962$	−13.8084	+	6.70288i	−0.445202	+	0.216109i
$963$	2.78266	−	4.81971i	0.0896700	−	0.155313i
$964$	34.6257	+	27.2618i	1.11522	+	0.878043i
$965$	−11.5950			−0.373256
$966$	18.1345	+	10.6997i	0.583467	+	0.344258i
$967$			52.1618i			1.67741i	0.544586	+	0.838705i	$0.316687\pi$
$967$			52.1618i			1.67741i	−0.544586	+	0.838705i	$0.683313\pi$
$968$	21.2545	+	66.6859i	0.683147	+	2.14337i
$969$	−8.14881	−	4.70472i	−0.261777	−	0.151137i
$970$	−4.78912	+	2.32473i	−0.153769	+	0.0746426i
$971$	14.6994	−	8.48673i	0.471728	−	0.272352i	−0.245235	−	0.969464i	$-0.578865\pi$
$971$	14.6994	−	8.48673i	0.471728	−	0.272352i	0.716963	+	0.697112i	$0.245532\pi$
$972$	−29.6720	+	11.8593i	−0.951730	+	0.380388i
$973$	15.0982	−	30.3695i	0.484028	−	0.973602i
$974$	−4.47420	−	3.03008i	−0.143363	−	0.0970901i
$975$	2.08656	−	1.20468i	0.0668234	−	0.0385805i
$976$	8.26209	+	34.2265i	0.264463	+	1.09556i
$977$	−11.5148	+	19.9442i	−0.368390	+	0.638071i	−0.989314	−	0.145800i	$-0.953424\pi$
$977$	−11.5148	+	19.9442i	−0.368390	+	0.638071i	0.620924	+	0.783871i	$0.286758\pi$
$978$	−0.498122	+	6.93697i	−0.0159282	+	0.221820i
$979$			76.3949i			2.44159i
$980$	7.22792	−	11.9899i	0.230887	−	0.383003i
$981$			16.8515i			0.538027i
$982$	60.3274	+	4.33193i	1.92513	+	0.138237i
$983$	−19.4921	+	33.7613i	−0.621701	+	1.07682i	0.367468	+	0.930036i	$0.380225\pi$
$983$	−19.4921	+	33.7613i	−0.621701	+	1.07682i	−0.989169	+	0.146782i	$0.953108\pi$
$984$	2.86269	−	3.14368i	0.0912592	−	0.100217i
$985$	−11.3882	+	6.57495i	−0.362857	+	0.209495i
$986$	−2.49175	+	3.67930i	−0.0793534	+	0.117173i
$987$	1.72628	−	3.47234i	0.0549481	−	0.110526i
$988$	25.0082	−	9.99528i	0.795616	−	0.317992i
$989$	−39.1874	+	22.6249i	−1.24609	+	0.719428i
$990$	−8.48461	−	17.4790i	−0.269659	−	0.555518i
$991$	−13.9773	−	8.06982i	−0.444005	−	0.256346i	0.261290	−	0.965260i	$-0.415852\pi$
$991$	−13.9773	−	8.06982i	−0.444005	−	0.256346i	−0.705295	+	0.708914i	$0.749185\pi$
$992$	−37.9752	+	31.2644i	−1.20571	+	0.992645i
$993$			21.1882i			0.672388i
$994$	5.83214	−	9.88463i	0.184984	−	0.313521i
$995$	20.1366			0.638374
$996$	18.0603	−	22.9387i	0.572263	−	0.726842i
$997$	23.3556	−	40.4531i	0.739679	−	1.28116i	−0.212960	−	0.977061i	$-0.568310\pi$
$997$	23.3556	−	40.4531i	0.739679	−	1.28116i	0.952640	−	0.304102i	$-0.0983562\pi$
$998$	4.58711	+	9.44979i	0.145202	+	0.299128i
$999$	8.37799	+	14.5111i	0.265068	+	0.459111i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.bj.f.171.1	yes	24
4.3	odd	2		1120.2.bz.e.591.7		24
7.5	odd	6		280.2.bj.e.131.8	✓	24
8.3	odd	2		280.2.bj.e.171.8	yes	24
8.5	even	2		1120.2.bz.f.591.7		24
28.19	even	6		1120.2.bz.f.271.7		24
56.5	odd	6		1120.2.bz.e.271.7		24
56.19	even	6	inner	280.2.bj.f.131.1	yes	24

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.bj.e.131.8	✓	24	7.5	odd	6
280.2.bj.e.171.8	yes	24	8.3	odd	2
280.2.bj.f.131.1	yes	24	56.19	even	6	inner
280.2.bj.f.171.1	yes	24	1.1	even	1	trivial
1120.2.bz.e.271.7		24	56.5	odd	6
1120.2.bz.e.591.7		24	4.3	odd	2
1120.2.bz.f.271.7		24	28.19	even	6
1120.2.bz.f.591.7		24	8.5	even	2

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:	\( N \)	\(=\)	\( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	280.bj (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.41058 - 0.101290i) q^{2} +(0.725648 + 0.418953i) q^{3} +(1.97948 + 0.285754i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(-0.981150 - 0.664468i) q^{6} +(-2.36913 - 1.17781i) q^{7} +(-2.76328 - 0.603581i) q^{8} +(-1.14896 - 1.99005i) q^{9} +O(q^{10})\)	\(q+(-1.41058 - 0.101290i) q^{2} +(0.725648 + 0.418953i) q^{3} +(1.97948 + 0.285754i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(-0.981150 - 0.664468i) q^{6} +(-2.36913 - 1.17781i) q^{7} +(-2.76328 - 0.603581i) q^{8} +(-1.14896 - 1.99005i) q^{9} +(0.617571 + 1.27224i) q^{10} +(2.98938 - 5.17776i) q^{11} +(1.31669 + 1.03667i) q^{12} -2.87544 q^{13} +(3.22254 + 1.90137i) q^{14} -0.837906i q^{15} +(3.83669 + 1.13129i) q^{16} +(2.07668 + 1.19897i) q^{17} +(1.41913 + 2.92351i) q^{18} +(-4.05564 + 2.34152i) q^{19} +(-0.742270 - 1.85716i) q^{20} +(-1.22570 - 1.84723i) q^{21} +(-4.74122 + 7.00086i) q^{22} +(5.81623 - 3.35800i) q^{23} +(-1.75229 - 1.59567i) q^{24} +(-0.500000 + 0.866025i) q^{25} +(4.05605 + 0.291252i) q^{26} -4.43915i q^{27} +(-4.35307 - 3.00845i) q^{28} -1.31035i q^{29} +(-0.0848712 + 1.18194i) q^{30} +(4.34775 - 7.53053i) q^{31} +(-5.29737 - 1.98439i) q^{32} +(4.33848 - 2.50482i) q^{33} +(-2.80789 - 1.90160i) q^{34} +(0.164546 + 2.64063i) q^{35} +(-1.70567 - 4.26759i) q^{36} +(-3.26889 + 1.88729i) q^{37} +(5.95798 - 2.89212i) q^{38} +(-2.08656 - 1.20468i) q^{39} +(0.858921 + 2.69486i) q^{40} +1.79404i q^{41} +(1.54185 + 2.72982i) q^{42} -6.73760 q^{43} +(7.39699 - 9.39505i) q^{44} +(-1.14896 + 1.99005i) q^{45} +(-8.54439 + 4.14761i) q^{46} +(0.874599 + 1.51485i) q^{47} +(2.31013 + 2.42831i) q^{48} +(4.22551 + 5.58078i) q^{49} +(0.793010 - 1.17095i) q^{50} +(1.00463 + 1.74007i) q^{51} +(-5.69188 - 0.821671i) q^{52} +(-0.0994447 - 0.0574144i) q^{53} +(-0.449640 + 6.26179i) q^{54} -5.97876 q^{55} +(5.83564 + 4.68458i) q^{56} -3.92395 q^{57} +(-0.132724 + 1.84835i) q^{58} +(2.61363 + 1.50898i) q^{59} +(0.239435 - 1.65862i) q^{60} +(4.40120 + 7.62310i) q^{61} +(-6.89562 + 10.1820i) q^{62} +(0.378112 + 6.06794i) q^{63} +(7.27138 + 3.33572i) q^{64} +(1.43772 + 2.49021i) q^{65} +(-6.37349 + 3.09381i) q^{66} +(-2.83761 + 4.91489i) q^{67} +(3.76814 + 2.96677i) q^{68} +5.62738 q^{69} +(0.0353631 - 3.74149i) q^{70} -3.06734i q^{71} +(1.97373 + 6.19255i) q^{72} +(8.69332 + 5.01909i) q^{73} +(4.80220 - 2.33108i) q^{74} +(-0.725648 + 0.418953i) q^{75} +(-8.69716 + 3.47608i) q^{76} +(-13.1807 + 8.74583i) q^{77} +(2.82124 + 1.91064i) q^{78} +(11.9852 - 6.91965i) q^{79} +(-0.938618 - 3.88832i) q^{80} +(-1.58707 + 2.74889i) q^{81} +(0.181717 - 2.53063i) q^{82} -17.4215i q^{83} +(-1.89840 - 4.00681i) q^{84} -2.39795i q^{85} +(9.50393 + 0.682449i) q^{86} +(0.548973 - 0.950850i) q^{87} +(-11.3857 + 12.5032i) q^{88} +(-11.0658 + 6.38886i) q^{89} +(1.82227 - 2.69075i) q^{90} +(6.81228 + 3.38674i) q^{91} +(12.4727 - 4.98508i) q^{92} +(6.30988 - 3.64301i) q^{93} +(-1.08025 - 2.22541i) q^{94} +(4.05564 + 2.34152i) q^{95} +(-3.01266 - 3.65932i) q^{96} +3.76431i q^{97} +(-5.39515 - 8.30014i) q^{98} -13.7387 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 24 q + 3 q^{2} + 12 q^{3} + q^{4} - 12 q^{5} - 2 q^{6} + 10 q^{7} - 6 q^{8} + 12 q^{9}+O(q^{10}) \) 24 * q + 3 * q^2 + 12 * q^3 + q^4 - 12 * q^5 - 2 * q^6 + 10 * q^7 - 6 * q^8 + 12 * q^9	\( 24 q + 3 q^{2} + 12 q^{3} + q^{4} - 12 q^{5} - 2 q^{6} + 10 q^{7} - 6 q^{8} + 12 q^{9} - 3 q^{10} + 8 q^{11} + 10 q^{12} + 20 q^{13} + 5 q^{14} - 3 q^{16} + 6 q^{17} + 3 q^{18} + 18 q^{19} - 2 q^{20} - 26 q^{21} - 16 q^{22} + 18 q^{23} - 18 q^{24} - 12 q^{25} - 37 q^{26} - 41 q^{28} - 8 q^{30} - 6 q^{31} + 3 q^{32} + 12 q^{33} - 20 q^{34} - 8 q^{35} - 22 q^{36} + 15 q^{38} - 18 q^{39} + 3 q^{40} - 12 q^{42} + 32 q^{43} + 35 q^{44} + 12 q^{45} - 49 q^{46} - 14 q^{48} + 8 q^{49} - 22 q^{51} - 41 q^{52} + 30 q^{53} + 104 q^{54} - 16 q^{55} + 44 q^{56} - 44 q^{57} - 54 q^{58} - 18 q^{59} - 8 q^{60} + 22 q^{61} + 8 q^{62} - 12 q^{63} + 58 q^{64} - 10 q^{65} + 8 q^{66} - 8 q^{67} + 18 q^{68} - 12 q^{69} - q^{70} - 17 q^{72} + 30 q^{73} + 53 q^{74} - 12 q^{75} + 8 q^{76} - 32 q^{77} - 8 q^{78} + 6 q^{79} - 3 q^{80} - 4 q^{81} - 57 q^{82} + 42 q^{86} + 14 q^{87} - 17 q^{88} - 60 q^{89} + 24 q^{90} + 18 q^{91} - 38 q^{92} - 18 q^{93} + 19 q^{94} - 18 q^{95} - 74 q^{96} + 3 q^{98} - 56 q^{99}+O(q^{100}) \) 24 * q + 3 * q^2 + 12 * q^3 + q^4 - 12 * q^5 - 2 * q^6 + 10 * q^7 - 6 * q^8 + 12 * q^9 - 3 * q^10 + 8 * q^11 + 10 * q^12 + 20 * q^13 + 5 * q^14 - 3 * q^16 + 6 * q^17 + 3 * q^18 + 18 * q^19 - 2 * q^20 - 26 * q^21 - 16 * q^22 + 18 * q^23 - 18 * q^24 - 12 * q^25 - 37 * q^26 - 41 * q^28 - 8 * q^30 - 6 * q^31 + 3 * q^32 + 12 * q^33 - 20 * q^34 - 8 * q^35 - 22 * q^36 + 15 * q^38 - 18 * q^39 + 3 * q^40 - 12 * q^42 + 32 * q^43 + 35 * q^44 + 12 * q^45 - 49 * q^46 - 14 * q^48 + 8 * q^49 - 22 * q^51 - 41 * q^52 + 30 * q^53 + 104 * q^54 - 16 * q^55 + 44 * q^56 - 44 * q^57 - 54 * q^58 - 18 * q^59 - 8 * q^60 + 22 * q^61 + 8 * q^62 - 12 * q^63 + 58 * q^64 - 10 * q^65 + 8 * q^66 - 8 * q^67 + 18 * q^68 - 12 * q^69 - q^70 - 17 * q^72 + 30 * q^73 + 53 * q^74 - 12 * q^75 + 8 * q^76 - 32 * q^77 - 8 * q^78 + 6 * q^79 - 3 * q^80 - 4 * q^81 - 57 * q^82 + 42 * q^86 + 14 * q^87 - 17 * q^88 - 60 * q^89 + 24 * q^90 + 18 * q^91 - 38 * q^92 - 18 * q^93 + 19 * q^94 - 18 * q^95 - 74 * q^96 + 3 * q^98 - 56 * q^99

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