LMFDB - Embedded newform 529.2.c.b.255.1

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [529,2,Mod(118,529)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("529.118"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(529, base_ring=CyclotomicField(22)) chi = DirichletCharacter(H, H._module([16])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 529 = 23^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	529.c (of order $11$, degree $10$, not minimal)

Newform invariants

comment:select newform

sage:traces = [10,-7,4,-3,-3,-5,6] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(7)] == traces)

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

Self dual:	no
Analytic conductor:	$4.22408626693$
Analytic rank:	$0$
Dimension:	$10$
Coefficient field:	$\Q(\zeta_{22})$
comment:defining polynomial gp:f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 $ x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	no (minimal twist has level 23)
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			255.1
Root			$0.142315 - 0.989821i$ of defining polynomial
Character	$\chi$	$=$	529.255
Dual form			529.2.c.b.334.1

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.198939 + 0.127850i) q^{2} +(-0.0681534 - 0.474017i) q^{3} +(-0.807599 - 1.76840i) q^{4} +(-1.45204 - 0.426356i) q^{5} +(0.0470448 - 0.103014i) q^{6} +(1.66741 - 1.92429i) q^{7} +(0.132736 - 0.923198i) q^{8} +(2.65843 - 0.780586i) q^{9} +(-0.234356 - 0.270462i) q^{10} +(-2.83737 + 1.82347i) q^{11} +(-0.783209 + 0.503338i) q^{12} +(-2.15565 - 2.48775i) q^{13} +(0.577732 - 0.169638i) q^{14} +(-0.103139 + 0.717348i) q^{15} +(-2.40176 + 2.77178i) q^{16} +(-2.60750 + 5.70963i) q^{17} +(0.628663 + 0.184592i) q^{18} +(-1.75759 - 3.84858i) q^{19} +(0.418697 + 2.91210i) q^{20} +(-1.02579 - 0.659232i) q^{21} -0.797593 q^{22} -0.446658 q^{24} +(-2.27964 - 1.46503i) q^{25} +(-0.110783 - 0.770511i) q^{26} +(-1.14801 - 2.51379i) q^{27} +(-4.74950 - 1.39458i) q^{28} +(2.61139 - 5.71814i) q^{29} +(-0.112231 + 0.129522i) q^{30} +(0.674863 - 4.69378i) q^{31} +(-2.62200 + 0.769888i) q^{32} +(1.05773 + 1.22069i) q^{33} +(-1.24871 + 0.802497i) q^{34} +(-3.24157 + 2.08323i) q^{35} +(-3.52733 - 4.07076i) q^{36} +(-0.0364342 + 0.0106980i) q^{37} +(0.142389 - 0.990339i) q^{38} +(-1.03232 + 1.19136i) q^{39} +(-0.586348 + 1.28392i) q^{40} +(-3.11514 - 0.914689i) q^{41} +(-0.119785 - 0.262294i) q^{42} +(-0.183426 - 1.27576i) q^{43} +(5.51606 + 3.54496i) q^{44} -4.19295 q^{45} +3.41741 q^{47} +(1.47756 + 0.949570i) q^{48} +(0.0735574 + 0.511603i) q^{49} +(-0.266203 - 0.582904i) q^{50} +(2.88417 + 0.846869i) q^{51} +(-2.65843 + 5.82115i) q^{52} +(4.40445 - 5.08301i) q^{53} +(0.0930048 - 0.646863i) q^{54} +(4.89741 - 1.43801i) q^{55} +(-1.55518 - 1.79477i) q^{56} +(-1.70451 + 1.09542i) q^{57} +(1.25057 - 0.803693i) q^{58} +(6.82274 + 7.87387i) q^{59} +(1.35185 - 0.396939i) q^{60} +(-0.512306 + 3.56316i) q^{61} +(0.734356 - 0.847493i) q^{62} +(2.93061 - 6.41715i) q^{63} +(6.41801 + 1.88450i) q^{64} +(2.06941 + 4.53139i) q^{65} +(0.0543586 + 0.378072i) q^{66} +(-5.73684 - 3.68684i) q^{67} +12.2027 q^{68} -0.911214 q^{70} +(3.44051 + 2.21108i) q^{71} +(-0.367766 - 2.55787i) q^{72} +(1.81183 + 3.96735i) q^{73} +(-0.00861592 - 0.00252986i) q^{74} +(-0.539086 + 1.18043i) q^{75} +(-5.38638 + 6.21622i) q^{76} +(-1.22217 + 8.50038i) q^{77} +(-0.357685 + 0.105026i) q^{78} +(-1.57296 - 1.81530i) q^{79} +(4.66921 - 3.00072i) q^{80} +(5.87915 - 3.77830i) q^{81} +(-0.502780 - 0.580239i) q^{82} +(-2.83737 + 0.833126i) q^{83} +(-0.337360 + 2.34639i) q^{84} +(6.22052 - 7.17887i) q^{85} +(0.126615 - 0.277248i) q^{86} +(-2.88847 - 0.848131i) q^{87} +(1.30680 + 2.86149i) q^{88} +(-1.75911 - 12.2349i) q^{89} +(-0.834139 - 0.536069i) q^{90} -8.38151 q^{91} -2.27092 q^{93} +(0.679855 + 0.436916i) q^{94} +(0.911214 + 6.33764i) q^{95} +(0.543638 + 1.19040i) q^{96} +(10.1865 + 2.99101i) q^{97} +(-0.0507751 + 0.111182i) q^{98} +(-6.11958 + 7.06237i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 10 q - 7 q^{2} + 4 q^{3} - 3 q^{4} - 3 q^{5} - 5 q^{6} + 6 q^{7} + 4 q^{8} + 9 q^{9} - 10 q^{10} - 4 q^{11} + 23 q^{12} + 8 q^{13} - 2 q^{14} - 10 q^{15} - 21 q^{16} + q^{17} + 8 q^{18} - 20 q^{19} + 24 q^{20}+ \cdots + 3 q^{99}+O(q^{100}) $ 10 * q - 7 * q^2 + 4 * q^3 - 3 * q^4 - 3 * q^5 - 5 * q^6 + 6 * q^7 + 4 * q^8 + 9 * q^9 - 10 * q^10 - 4 * q^11 + 23 * q^12 + 8 * q^13 - 2 * q^14 - 10 * q^15 - 21 * q^16 + q^17 + 8 * q^18 - 20 * q^19 + 24 * q^20 - 2 * q^21 - 6 * q^22 - 38 * q^24 - 4 * q^25 + q^26 + 7 * q^27 + 7 * q^28 + 14 * q^29 + 7 * q^30 - q^31 - q^32 + 5 * q^33 + 18 * q^34 - 26 * q^35 + 5 * q^36 - 8 * q^37 + 14 * q^38 + 12 * q^39 - 32 * q^40 + 7 * q^41 + 30 * q^42 + 10 * q^44 - 6 * q^45 - 18 * q^47 - 4 * q^48 + 15 * q^49 - 39 * q^50 - 15 * q^51 - 9 * q^52 - 4 * q^53 - 28 * q^54 - q^55 - 13 * q^56 - 52 * q^57 - 23 * q^58 + q^59 - 8 * q^60 + 14 * q^61 + 15 * q^62 - 10 * q^63 + 2 * q^64 + 24 * q^65 - 42 * q^66 - 32 * q^67 - 30 * q^68 + 38 * q^70 + 19 * q^71 - 14 * q^72 + 19 * q^73 - 34 * q^74 + 16 * q^75 - 16 * q^76 + 2 * q^77 - 4 * q^78 + 40 * q^79 + 3 * q^80 + 33 * q^81 - 17 * q^82 - 4 * q^83 - 17 * q^84 + 3 * q^85 + 22 * q^86 - q^87 - 50 * q^88 + 14 * q^89 + 13 * q^90 - 4 * q^91 + 4 * q^93 + 17 * q^94 - 38 * q^95 + 37 * q^96 + 43 * q^97 - 5 * q^98 + 3 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/529\mathbb{Z}\right)^\times$.

$n$	$5$
$\chi(n)$	$e\left(\frac{1}{11}\right)$

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 $

$2$	0.198939	+	0.127850i	0.140671	+	0.0904037i	0.609083	−	0.793106i	$-0.291537\pi$
$2$	0.198939	+	0.127850i	0.140671	+	0.0904037i	−0.468412	+	0.883510i	$0.655174\pi$
$3$	−0.0681534	−	0.474017i	−0.0393484	−	0.273674i	0.960643	−	0.277785i	$-0.0896004\pi$
$3$	−0.0681534	−	0.474017i	−0.0393484	−	0.273674i	−0.999992	+	0.00411143i	$0.998691\pi$
$4$	−0.807599	−	1.76840i	−0.403800	−	0.884198i
$5$	−1.45204	−	0.426356i	−0.649370	−	0.190672i	−0.0595734	−	0.998224i	$-0.518974\pi$
$5$	−1.45204	−	0.426356i	−0.649370	−	0.190672i	−0.589797	+	0.807552i	$0.700792\pi$
$6$	0.0470448	−	0.103014i	0.0192060	−	0.0420552i
$7$	1.66741	−	1.92429i	0.630220	−	0.727313i	−0.347394	−	0.937719i	$-0.612933\pi$
$7$	1.66741	−	1.92429i	0.630220	−	0.727313i	0.977614	+	0.210406i	$0.0674787\pi$
$8$	0.132736	−	0.923198i	0.0469292	−	0.326400i
$9$	2.65843	−	0.780586i	0.886144	−	0.260195i
$10$	−0.234356	−	0.270462i	−0.0741100	−	0.0855275i
$11$	−2.83737	+	1.82347i	−0.855499	+	0.549796i	−0.893285	−	0.449490i	$-0.851606\pi$
$11$	−2.83737	+	1.82347i	−0.855499	+	0.549796i	0.0377866	+	0.999286i	$0.487969\pi$
$12$	−0.783209	+	0.503338i	−0.226093	+	0.145301i
$13$	−2.15565	−	2.48775i	−0.597870	−	0.689979i	0.373478	−	0.927639i	$-0.378165\pi$
$13$	−2.15565	−	2.48775i	−0.597870	−	0.689979i	−0.971348	+	0.237660i	$0.923620\pi$
$14$	0.577732	−	0.169638i	0.154405	−	0.0453375i
$15$	−0.103139	+	0.717348i	−0.0266304	+	0.185218i
$16$	−2.40176	+	2.77178i	−0.600441	+	0.692946i
$17$	−2.60750	+	5.70963i	−0.632412	+	1.38479i	0.273726	+	0.961808i	$0.411744\pi$
$17$	−2.60750	+	5.70963i	−0.632412	+	1.38479i	−0.906138	+	0.422981i	$0.860984\pi$
$18$	0.628663	+	0.184592i	0.148177	+	0.0435088i
$19$	−1.75759	−	3.84858i	−0.403218	−	0.882925i	−0.996934	−	0.0782498i	$-0.975067\pi$
$19$	−1.75759	−	3.84858i	−0.403218	−	0.882925i	0.593716	−	0.804675i	$-0.297660\pi$
$20$	0.418697	+	2.91210i	0.0936234	+	0.651165i
$21$	−1.02579	−	0.659232i	−0.223845	−	0.143856i
$22$	−0.797593			−0.170047
$23$		0			0
$23$		0			0
$24$	−0.446658			−0.0911736
$25$	−2.27964	−	1.46503i	−0.455928	−	0.293007i
$26$	−0.110783	−	0.770511i	−0.0217263	−	0.151110i
$27$	−1.14801	−	2.51379i	−0.220934	−	0.483779i
$28$	−4.74950	−	1.39458i	−0.897571	−	0.263551i
$29$	2.61139	−	5.71814i	0.484922	−	1.06183i	−0.496158	−	0.868232i	$-0.665256\pi$
$29$	2.61139	−	5.71814i	0.484922	−	1.06183i	0.981081	−	0.193600i	$-0.0620163\pi$
$30$	−0.112231	+	0.129522i	−0.0204905	+	0.0236473i
$31$	0.674863	−	4.69378i	0.121209	−	0.843027i	−0.834981	−	0.550279i	$-0.814521\pi$
$31$	0.674863	−	4.69378i	0.121209	−	0.843027i	0.956190	−	0.292748i	$-0.0945697\pi$
$32$	−2.62200	+	0.769888i	−0.463508	+	0.136098i
$33$	1.05773	+	1.22069i	0.184127	+	0.212494i
$34$	−1.24871	+	0.802497i	−0.214152	+	0.137627i
$35$	−3.24157	+	2.08323i	−0.547925	+	0.352130i
$36$	−3.52733	−	4.07076i	−0.587889	−	0.678460i
$37$	−0.0364342	+	0.0106980i	−0.00598974	+	0.00175875i	−0.284726	−	0.958609i	$-0.591903\pi$
$37$	−0.0364342	+	0.0106980i	−0.00598974	+	0.00175875i	0.278736	+	0.960368i	$0.410084\pi$
$38$	0.142389	−	0.990339i	0.0230986	−	0.160654i
$39$	−1.03232	+	1.19136i	−0.165304	+	0.190771i
$40$	−0.586348	+	1.28392i	−0.0927098	+	0.203006i
$41$	−3.11514	−	0.914689i	−0.486504	−	0.142850i	0.0292763	−	0.999571i	$-0.490680\pi$
$41$	−3.11514	−	0.914689i	−0.486504	−	0.142850i	−0.515780	+	0.856721i	$0.672498\pi$
$42$	−0.119785	−	0.262294i	−0.0184833	−	0.0404728i
$43$	−0.183426	−	1.27576i	−0.0279722	−	0.194551i	0.971044	−	0.238901i	$-0.0767873\pi$
$43$	−0.183426	−	1.27576i	−0.0279722	−	0.194551i	−0.999016	+	0.0443505i	$0.985878\pi$
$44$	5.51606	+	3.54496i	0.831578	+	0.534423i
$45$	−4.19295			−0.625048
$46$		0			0
$47$	3.41741			0.498480			0.249240	−	0.968442i	$-0.419819\pi$
$47$	3.41741			0.498480			0.249240	+	0.968442i	$0.419819\pi$
$48$	1.47756	+	0.949570i	0.213267	+	0.137059i
$49$	0.0735574	+	0.511603i	0.0105082	+	0.0730861i
$50$	−0.266203	−	0.582904i	−0.0376468	−	0.0824351i
$51$	2.88417	+	0.846869i	0.403865	+	0.118585i
$52$	−2.65843	+	5.82115i	−0.368658	+	0.807249i
$53$	4.40445	−	5.08301i	0.604998	−	0.698205i	−0.367788	−	0.929910i	$-0.619885\pi$
$53$	4.40445	−	5.08301i	0.604998	−	0.698205i	0.972786	+	0.231705i	$0.0744303\pi$
$54$	0.0930048	−	0.646863i	0.0126563	−	0.0880268i
$55$	4.89741	−	1.43801i	0.660366	−	0.193901i
$56$	−1.55518	−	1.79477i	−0.207819	−	0.239836i
$57$	−1.70451	+	1.09542i	−0.225767	+	0.145092i
$58$	1.25057	−	0.803693i	0.164208	−	0.105530i
$59$	6.82274	+	7.87387i	0.888246	+	1.02509i	0.999510	+	0.0312992i	$0.00996448\pi$
$59$	6.82274	+	7.87387i	0.888246	+	1.02509i	−0.111264	+	0.993791i	$0.535490\pi$
$60$	1.35185	−	0.396939i	0.174523	−	0.0512446i
$61$	−0.512306	+	3.56316i	−0.0655940	+	0.456216i	0.930382	+	0.366592i	$0.119476\pi$
$61$	−0.512306	+	3.56316i	−0.0655940	+	0.456216i	−0.995976	+	0.0896240i	$0.971433\pi$
$62$	0.734356	−	0.847493i	0.0932634	−	0.107632i
$63$	2.93061	−	6.41715i	0.369223	−	0.808485i
$64$	6.41801	+	1.88450i	0.802252	+	0.235562i
$65$	2.06941	+	4.53139i	0.256679	+	0.562049i
$66$	0.0543586	+	0.378072i	0.00669108	+	0.0465375i
$67$	−5.73684	−	3.68684i	−0.700866	−	0.450419i	0.141068	−	0.990000i	$-0.454946\pi$
$67$	−5.73684	−	3.68684i	−0.700866	−	0.450419i	−0.841934	+	0.539581i	$0.818583\pi$
$68$	12.2027			1.47979
$69$		0			0
$70$	−0.911214			−0.108911
$71$	3.44051	+	2.21108i	0.408313	+	0.262407i	0.728635	−	0.684902i	$-0.240155\pi$
$71$	3.44051	+	2.21108i	0.408313	+	0.262407i	−0.320322	+	0.947309i	$0.603791\pi$
$72$	−0.367766	−	2.55787i	−0.0433417	−	0.301448i
$73$	1.81183	+	3.96735i	0.212058	+	0.464343i	0.985533	−	0.169484i	$-0.0542102\pi$
$73$	1.81183	+	3.96735i	0.212058	+	0.464343i	−0.773475	+	0.633827i	$0.781483\pi$
$74$	−0.00861592	−	0.00252986i	−0.00100158	−	0.000294090i
$75$	−0.539086	+	1.18043i	−0.0622483	+	0.136305i
$76$	−5.38638	+	6.21622i	−0.617861	+	0.713049i
$77$	−1.22217	+	8.50038i	−0.139279	+	0.968708i
$78$	−0.357685	+	0.105026i	−0.0404999	+	0.0118918i
$79$	−1.57296	−	1.81530i	−0.176972	−	0.204237i	0.660332	−	0.750973i	$-0.270415\pi$
$79$	−1.57296	−	1.81530i	−0.176972	−	0.204237i	−0.837305	+	0.546737i	$0.815870\pi$
$80$	4.66921	−	3.00072i	0.522034	−	0.335491i
$81$	5.87915	−	3.77830i	0.653239	−	0.419811i
$82$	−0.502780	−	0.580239i	−0.0555227	−	0.0640767i
$83$	−2.83737	+	0.833126i	−0.311442	+	0.0914475i	−0.433718	−	0.901049i	$-0.642799\pi$
$83$	−2.83737	+	0.833126i	−0.311442	+	0.0914475i	0.122277	+	0.992496i	$0.460980\pi$
$84$	−0.337360	+	2.34639i	−0.0368090	+	0.256012i
$85$	6.22052	−	7.17887i	0.674711	−	0.778657i
$86$	0.126615	−	0.277248i	0.0136532	−	0.0298964i
$87$	−2.88847	−	0.848131i	−0.309677	−	0.0909292i
$88$	1.30680	+	2.86149i	0.139305	+	0.305036i
$89$	−1.75911	−	12.2349i	−0.186466	−	1.29690i	−0.841070	−	0.540926i	$-0.818074\pi$
$89$	−1.75911	−	12.2349i	−0.186466	−	1.29690i	0.654605	−	0.755971i	$-0.272835\pi$
$90$	−0.834139	−	0.536069i	−0.0879260	−	0.0565066i
$91$	−8.38151			−0.878621
$92$		0			0
$93$	−2.27092			−0.235484
$94$	0.679855	+	0.436916i	0.0701217	+	0.0450645i
$95$	0.911214	+	6.33764i	0.0934886	+	0.650228i
$96$	0.543638	+	1.19040i	0.0554848	+	0.121495i
$97$	10.1865	+	2.99101i	1.03428	+	0.303691i	0.754449	−	0.656359i	$-0.227904\pi$
$97$	10.1865	+	2.99101i	1.03428	+	0.303691i	0.279829	+	0.960050i	$0.409722\pi$
$98$	−0.0507751	+	0.111182i	−0.00512906	+	0.0112311i
$99$	−6.11958	+	7.06237i	−0.615041	+	0.709795i
$100$	−0.749726	+	5.21446i	−0.0749726	+	0.521446i
$101$	−8.82638	+	2.59166i	−0.878258	+	0.257880i	−0.689624	−	0.724168i	$-0.742224\pi$
$101$	−8.82638	+	2.59166i	−0.878258	+	0.257880i	−0.188634	+	0.982047i	$0.560406\pi$
$102$	0.465501	+	0.537217i	0.0460915	+	0.0531924i
$103$	12.4244	−	7.98468i	1.22421	−	0.786754i	0.241233	−	0.970467i	$-0.422448\pi$
$103$	12.4244	−	7.98468i	1.22421	−	0.786754i	0.982980	+	0.183714i	$0.0588119\pi$
$104$	−2.58282	+	1.65988i	−0.253266	+	0.162764i
$105$	1.20841	+	1.39458i	0.117929	+	0.136097i
$106$	1.52608	−	0.448097i	0.148226	−	0.0435231i
$107$	2.30644	−	16.0416i	0.222972	−	1.55080i	−0.503736	−	0.863858i	$-0.668042\pi$
$107$	2.30644	−	16.0416i	0.222972	−	1.55080i	0.726708	−	0.686946i	$-0.241049\pi$
$108$	−3.51824	+	4.06026i	−0.338543	+	0.390699i
$109$	6.24352	−	13.6714i	0.598021	−	1.30948i	−0.332451	−	0.943121i	$-0.607876\pi$
$109$	6.24352	−	13.6714i	0.598021	−	1.30948i	0.930472	−	0.366363i	$-0.119397\pi$
$110$	1.15813	+	0.340059i	0.110424	+	0.0324233i
$111$	0.00755417	+	0.0165413i	0.000717010	+	0.00157003i
$112$	1.32900	+	9.24338i	0.125578	+	0.873417i
$113$	−0.972039	−	0.624691i	−0.0914417	−	0.0587660i	0.494121	−	0.869393i	$-0.335490\pi$
$113$	−0.972039	−	0.624691i	−0.0914417	−	0.0587660i	−0.585563	+	0.810627i	$0.699126\pi$
$114$	−0.479142			−0.0448758
$115$		0			0
$116$	−12.2209			−1.13468
$117$	−7.67256	−	4.93085i	−0.709328	−	0.455858i
$118$	0.350633	+	2.43871i	0.0322784	+	0.224501i
$119$	6.63922	+	14.5379i	0.608616	+	1.33268i
$120$	0.648563	+	0.190435i	0.0592055	+	0.0173843i
$121$	0.156064	−	0.341733i	0.0141877	−	0.0310666i
$122$	−0.557468	+	0.643353i	−0.0504708	+	0.0582464i
$123$	−0.221271	+	1.53897i	−0.0199513	+	0.138764i
$124$	−8.84547	+	2.59727i	−0.794347	+	0.233241i
$125$	7.64062	+	8.81774i	0.683397	+	0.788683i
$126$	1.40345	−	0.901940i	0.125029	−	0.0803512i
$127$	8.78564	−	5.64619i	0.779599	−	0.501018i	−0.0893014	−	0.996005i	$-0.528463\pi$
$127$	8.78564	−	5.64619i	0.779599	−	0.501018i	0.868901	+	0.494987i	$0.164827\pi$
$128$	4.61492	+	5.32590i	0.407905	+	0.470748i
$129$	−0.592229	+	0.173894i	−0.0521428	+	0.0153105i
$130$	−0.167652	+	1.16604i	−0.0147040	+	0.102269i
$131$	9.95030	−	11.4833i	0.869362	−	1.00330i	−0.130568	−	0.991439i	$-0.541680\pi$
$131$	9.95030	−	11.4833i	0.869362	−	1.00330i	0.999930	−	0.0118576i	$-0.00377449\pi$
$132$	1.30443	−	2.85631i	0.113536	−	0.248610i
$133$	−10.3364	−	3.03504i	−0.896279	−	0.263171i
$134$	−0.669916	−	1.46691i	−0.0578719	−	0.126722i
$135$	0.595180	+	4.13957i	0.0512250	+	0.356278i
$136$	4.92501	+	3.16511i	0.422316	+	0.271406i
$137$	1.22243			0.104439			0.0522196	−	0.998636i	$-0.483370\pi$
$137$	1.22243			0.104439			0.0522196	+	0.998636i	$0.483370\pi$
$138$		0			0
$139$	2.18447			0.185284			0.0926420	−	0.995699i	$-0.470469\pi$
$139$	2.18447			0.185284			0.0926420	+	0.995699i	$0.470469\pi$
$140$	6.30186	+	4.04996i	0.532604	+	0.342284i
$141$	−0.232908	−	1.61991i	−0.0196144	−	0.136421i
$142$	0.401763	+	0.879739i	0.0337152	+	0.0738260i
$143$	10.6527	+	3.12792i	0.890825	+	0.261570i
$144$	−4.22131	+	9.24338i	−0.351776	+	0.770281i
$145$	−6.22979	+	7.18957i	−0.517356	+	0.597061i
$146$	−0.146783	+	1.02090i	−0.0121479	+	0.0844904i
$147$	0.237495	−	0.0697349i	0.0195883	−	0.00575164i
$148$	0.0483426	+	0.0557903i	0.00397374	+	0.00458594i
$149$	−3.48268	+	2.23818i	−0.285312	+	0.183359i	−0.675467	−	0.737390i	$-0.736058\pi$
$149$	−3.48268	+	2.23818i	−0.285312	+	0.183359i	0.390155	+	0.920749i	$0.372421\pi$
$150$	−0.258164	+	0.165912i	−0.0210790	+	0.0135466i
$151$	4.45043	+	5.13607i	0.362171	+	0.417967i	0.907366	−	0.420342i	$-0.138090\pi$
$151$	4.45043	+	5.13607i	0.362171	+	0.417967i	−0.545195	+	0.838309i	$0.683544\pi$
$152$	−3.78629	+	1.11176i	−0.307109	+	0.0901753i
$153$	−2.47501	+	17.2140i	−0.200092	+	1.39167i
$154$	−1.32991	+	1.53480i	−0.107167	+	0.123678i
$155$	−2.98115	+	6.52780i	−0.239452	+	0.524326i
$156$	2.94051	+	0.863411i	0.235429	+	0.0691282i
$157$	4.04504	+	8.85740i	0.322829	+	0.706898i	0.999570	−	0.0293238i	$-0.00933538\pi$
$157$	4.04504	+	8.85740i	0.322829	+	0.706898i	−0.676741	+	0.736222i	$0.736608\pi$
$158$	−0.0808374	−	0.562237i	−0.00643108	−	0.0447291i
$159$	−2.70961	−	1.74136i	−0.214886	−	0.138099i
$160$	4.13548			0.326939
$161$		0			0
$162$	1.65265			0.129844
$163$	−5.07173	−	3.25940i	−0.397249	−	0.255296i	0.326731	−	0.945117i	$-0.394053\pi$
$163$	−5.07173	−	3.25940i	−0.397249	−	0.255296i	−0.723980	+	0.689821i	$0.757689\pi$
$164$	0.898256	+	6.24751i	0.0701420	+	0.487849i
$165$	−1.01542	−	2.22345i	−0.0790500	−	0.173095i
$166$	−0.670978	−	0.197017i	−0.0520780	−	0.0152915i
$167$	0.730973	−	1.60061i	0.0565644	−	0.123859i	−0.879239	−	0.476380i	$-0.841948\pi$
$167$	0.730973	−	1.60061i	0.0565644	−	0.123859i	0.935804	+	0.352522i	$0.114676\pi$
$168$	−0.744760	+	0.859499i	−0.0574595	+	0.0663118i
$169$	0.308003	−	2.14221i	0.0236926	−	0.164785i
$170$	2.15532	−	0.632860i	0.165306	−	0.0485381i
$171$	−7.67657	−	8.85924i	−0.587042	−	0.677483i
$172$	−2.10791	+	1.35467i	−0.160726	+	0.103293i
$173$	−8.59059	+	5.52084i	−0.653131	+	0.419741i	−0.824809	−	0.565412i	$-0.808717\pi$
$173$	−8.59059	+	5.52084i	−0.653131	+	0.419741i	0.171678	+	0.985153i	$0.445081\pi$
$174$	−0.466195	−	0.538017i	−0.0353421	−	0.0407870i
$175$	−6.62023	+	1.94388i	−0.500443	+	0.146943i
$176$	1.76044	−	12.2441i	0.132698	−	0.922934i
$177$	3.26735	−	3.77073i	0.245589	−	0.283425i
$178$	1.21428	−	2.65890i	0.0910140	−	0.199293i
$179$	9.88802	+	2.90338i	0.739065	+	0.217009i	0.629532	−	0.776974i	$-0.283246\pi$
$179$	9.88802	+	2.90338i	0.739065	+	0.217009i	0.109532	+	0.993983i	$0.465065\pi$
$180$	3.38622	+	7.41479i	0.252394	+	0.552666i
$181$	−1.32231	−	9.19690i	−0.0982869	−	0.683600i	−0.978078	−	0.208240i	$-0.933227\pi$
$181$	−1.32231	−	9.19690i	−0.0982869	−	0.683600i	0.879791	−	0.475361i	$-0.157682\pi$
$182$	−1.66741	−	1.07158i	−0.123596	−	0.0794306i
$183$	1.72392			0.127435
$184$		0			0
$185$	0.0574649			0.00422491
$186$	−0.451775	−	0.290338i	−0.0331257	−	0.0212886i
$187$	−3.01288	−	20.9550i	−0.220323	−	1.53238i
$188$	−2.75990	−	6.04333i	−0.201286	−	0.440755i
$189$	−6.75145	−	1.98241i	−0.491096	−	0.144199i
$190$	−0.628992	+	1.37730i	−0.0456319	+	0.0999198i
$191$	13.4444	−	15.5157i	0.972803	−	1.12267i	−0.0196200	−	0.999808i	$-0.506246\pi$
$191$	13.4444	−	15.5157i	0.972803	−	1.12267i	0.992423	−	0.122867i	$-0.0392089\pi$
$192$	0.455875	−	3.17068i	0.0329000	−	0.228824i
$193$	13.1801	−	3.87003i	0.948725	−	0.278571i	0.229469	−	0.973316i	$-0.426301\pi$
$193$	13.1801	−	3.87003i	0.948725	−	0.278571i	0.719256	+	0.694745i	$0.244483\pi$
$194$	1.64408	+	1.89737i	0.118038	+	0.136223i
$195$	2.00692	−	1.28977i	0.143718	−	0.0923621i
$196$	0.845311	−	0.543249i	0.0603794	−	0.0388035i
$197$	−1.50581	−	1.73780i	−0.107285	−	0.123813i	0.699568	−	0.714567i	$-0.253376\pi$
$197$	−1.50581	−	1.73780i	−0.107285	−	0.123813i	−0.806852	+	0.590754i	$0.798831\pi$
$198$	−2.12035	+	0.622590i	−0.150686	+	0.0442455i
$199$	−0.243449	+	1.69322i	−0.0172576	+	0.120029i	−0.996629	−	0.0820383i	$-0.973857\pi$
$199$	−0.243449	+	1.69322i	−0.0172576	+	0.120029i	0.979372	+	0.202068i	$0.0647661\pi$
$200$	−1.65511	+	1.91009i	−0.117034	+	0.135064i
$201$	−1.35664	+	2.97063i	−0.0956901	+	0.209532i
$202$	−2.08725	−	0.612873i	−0.146859	−	0.0431216i
$203$	−6.64911	−	14.5595i	−0.466676	−	1.02188i
$204$	−0.831655	−	5.78429i	−0.0582275	−	0.404981i
$205$	4.13332	+	2.65632i	0.288684	+	0.185526i
$206$	3.49254			0.243337
$207$		0			0
$208$	12.0729			0.837104
$209$	12.0047	+	7.71494i	0.830381	+	0.533653i
$210$	0.0621023	+	0.431931i	0.00428547	+	0.0298061i
$211$	−3.32454	−	7.27972i	−0.228871	−	0.501157i	0.760002	−	0.649921i	$-0.225198\pi$
$211$	−3.32454	−	7.27972i	−0.228871	−	0.501157i	−0.988873	+	0.148764i	$0.952471\pi$
$212$	−12.5458	−	3.68378i	−0.861649	−	0.253003i
$213$	0.813607	−	1.78155i	0.0557474	−	0.122070i
$214$	2.50977	−	2.89642i	0.171564	−	0.197996i
$215$	−0.277585	+	1.93065i	−0.0189312	+	0.131669i
$216$	−2.47310	+	0.726169i	−0.168273	+	0.0494095i
$217$	−7.90692	−	9.12507i	−0.536756	−	0.619450i
$218$	2.98997	−	1.92154i	0.202506	−	0.130143i
$219$	1.75711	−	1.12923i	0.118734	−	0.0763060i
$220$	−6.49811	−	7.49922i	−0.438102	−	0.505597i
$221$	19.8250	−	5.82115i	1.33358	−	0.391573i
$222$	−0.000611994		0.00425651i	−4.10743e−5		0.000285678i
$223$	−18.6787	+	21.5563i	−1.25082	+	1.44352i	−0.401307	+	0.915944i	$0.631444\pi$
$223$	−18.6787	+	21.5563i	−1.25082	+	1.44352i	−0.849509	+	0.527574i	$0.823102\pi$
$224$	−2.89045	+	6.32920i	−0.193126	+	0.422887i
$225$	−7.20385	−	2.11524i	−0.480256	−	0.141016i
$226$	−0.113509	−	0.248551i	−0.00755052	−	0.0165333i
$227$	1.33535	+	9.28759i	0.0886305	+	0.616439i	0.984925	+	0.172980i	$0.0553397\pi$
$227$	1.33535	+	9.28759i	0.0886305	+	0.616439i	−0.896295	+	0.443459i	$0.853751\pi$
$228$	3.31369	+	2.12958i	0.219455	+	0.141035i
$229$	−6.65292			−0.439637			−0.219819	−	0.975541i	$-0.570547\pi$
$229$	−6.65292			−0.439637			−0.219819	+	0.975541i	$0.570547\pi$
$230$		0			0
$231$	4.11262			0.270590
$232$	−4.93235	−	3.16983i	−0.323825	−	0.208109i
$233$	3.64884	+	25.3783i	0.239044	+	1.66258i	0.656830	+	0.754039i	$0.271897\pi$
$233$	3.64884	+	25.3783i	0.239044	+	1.66258i	−0.417786	+	0.908545i	$0.637194\pi$
$234$	−0.895959	−	1.96188i	−0.0585706	−	0.128252i
$235$	−4.96220	−	1.45703i	−0.323698	−	0.0950464i
$236$	8.41407	−	18.4242i	0.547709	−	1.19932i
$237$	−0.753279	+	0.869330i	−0.0489307	+	0.0564691i
$238$	−0.537870	+	3.74097i	−0.0348649	+	0.242491i
$239$	1.47004	−	0.431641i	0.0950887	−	0.0279206i	−0.233842	−	0.972275i	$-0.575130\pi$
$239$	1.47004	−	0.431641i	0.0950887	−	0.0279206i	0.328931	+	0.944354i	$0.393312\pi$
$240$	−1.74062	−	2.00878i	−0.112356	−	0.129666i
$241$	−23.4758	+	15.0870i	−1.51221	+	0.971836i	−0.519089	+	0.854720i	$0.673729\pi$
$241$	−23.4758	+	15.0870i	−1.51221	+	0.971836i	−0.993118	+	0.117116i	$0.962635\pi$
$242$	0.0747378	−	0.0480311i	0.00480433	−	0.00308755i
$243$	−7.62083	−	8.79490i	−0.488876	−	0.564193i
$244$	6.71482	−	1.97165i	0.429872	−	0.126222i
$245$	0.111317	−	0.774228i	0.00711179	−	0.0494636i
$246$	−0.240777	+	0.277871i	−0.0153514	+	0.0177164i
$247$	−5.78558	+	12.6686i	−0.368127	+	0.806087i
$248$	−4.24371	−	1.24606i	−0.269476	−	0.0791252i
$249$	0.588292	+	1.28818i	0.0372815	+	0.0816351i
$250$	0.392665	+	2.73104i	0.0248343	+	0.172726i
$251$	−9.47860	−	6.09153i	−0.598284	−	0.384494i	0.206163	−	0.978518i	$-0.433902\pi$
$251$	−9.47860	−	6.09153i	−0.598284	−	0.384494i	−0.804448	+	0.594024i	$0.797539\pi$
$252$	−13.7148			−0.863952
$253$		0			0
$254$	2.46967			0.154961
$255$	−3.82685	−	2.45937i	−0.239647	−	0.154012i
$256$	−1.66671	−	11.5922i	−0.104169	−	0.724513i
$257$	−6.82983	−	14.9552i	−0.426033	−	0.932883i	−0.993954	−	0.109799i	$-0.964979\pi$
$257$	−6.82983	−	14.9552i	−0.426033	−	0.932883i	0.567921	−	0.823083i	$-0.307748\pi$
$258$	−0.140050	−	0.0411223i	−0.00871911	−	0.00256016i
$259$	−0.0401645	+	0.0879479i	−0.00249570	+	0.00546482i
$260$	6.34202	−	7.31909i	0.393316	−	0.453910i
$261$	2.47869	−	17.2397i	0.153427	−	1.06711i
$262$	3.44764	−	1.01232i	0.212996	−	0.0625412i
$263$	15.3880	+	17.7587i	0.948865	+	1.09505i	0.995369	+	0.0961307i	$0.0306467\pi$
$263$	15.3880	+	17.7587i	0.948865	+	1.09505i	−0.0465035	+	0.998918i	$0.514808\pi$
$264$	1.26733	−	0.814465i	0.0779989	−	0.0501269i
$265$	−8.56260	+	5.50285i	−0.525996	+	0.338037i
$266$	−1.66828	−	1.92530i	−0.102289	−	0.118047i
$267$	−5.67966	+	1.66770i	−0.347590	+	0.102062i
$268$	−1.88673	+	13.1225i	−0.115250	+	0.801583i
$269$	−2.90882	+	3.35696i	−0.177354	+	0.204677i	−0.837465	−	0.546490i	$-0.815964\pi$
$269$	−2.90882	+	3.35696i	−0.177354	+	0.204677i	0.660112	+	0.751168i	$0.270509\pi$
$270$	−0.410840	+	0.899615i	−0.0250029	+	0.0547488i
$271$	18.9029	+	5.55039i	1.14827	+	0.337162i	0.799864	−	0.600182i	$-0.204905\pi$
$271$	18.9029	+	5.55039i	1.14827	+	0.337162i	0.348406	+	0.937344i	$0.386723\pi$
$272$	−9.56325	−	20.9406i	−0.579857	−	1.26971i
$273$	0.571228	+	3.97298i	0.0345723	+	0.240456i
$274$	0.243189	+	0.156288i	0.0146916	+	0.00944169i
$275$	9.13961			0.551139
$276$		0			0
$277$	−18.8580			−1.13307			−0.566535	−	0.824038i	$-0.691716\pi$
$277$	−18.8580			−1.13307			−0.566535	+	0.824038i	$0.691716\pi$
$278$	0.434575	+	0.279284i	0.0260641	+	0.0167504i
$279$	−1.86982	−	13.0049i	−0.111943	−	0.778582i
$280$	1.49296	+	3.26913i	0.0892214	+	0.195368i
$281$	−18.4150	−	5.40715i	−1.09855	−	0.322563i	−0.318274	−	0.947999i	$-0.603103\pi$
$281$	−18.4150	−	5.40715i	−1.09855	−	0.322563i	−0.780276	+	0.625436i	$0.784921\pi$
$282$	0.160771	−	0.352040i	0.00957379	−	0.0209637i
$283$	−0.713836	+	0.823810i	−0.0424331	+	0.0489704i	−0.776569	−	0.630032i	$-0.783042\pi$
$283$	−0.713836	+	0.823810i	−0.0424331	+	0.0489704i	0.734136	+	0.679002i	$0.237587\pi$
$284$	1.13151	−	7.86984i	0.0671429	−	0.466989i
$285$	2.94204	−	0.863862i	0.174272	−	0.0511708i
$286$	1.71933	+	1.98421i	0.101666	+	0.117329i
$287$	−6.95434	+	4.46928i	−0.410502	+	0.263813i
$288$	−6.36944	+	4.09339i	−0.375323	+	0.241205i
$289$	−14.6682	−	16.9280i	−0.862835	−	0.995764i
$290$	−2.15853	+	0.633803i	−0.126753	+	0.0372182i
$291$	0.723550	−	5.03240i	0.0424152	−	0.295004i
$292$	5.55261	−	6.40805i	0.324942	−	0.375003i
$293$	−5.79057	+	12.6796i	−0.338289	+	0.740750i	−0.999959	−	0.00904554i	$-0.997121\pi$
$293$	−5.79057	+	12.6796i	−0.338289	+	0.740750i	0.661670	+	0.749795i	$0.269848\pi$
$294$	0.0561626	+	0.0164908i	0.00327547	+	0.000961765i
$295$	−6.54980	−	14.3421i	−0.381344	−	0.835027i
$296$	0.00504029	+	0.0350560i	0.000292961	+	0.00203759i
$297$	7.84113	+	5.03919i	0.454988	+	0.292403i
$298$	−0.978991			−0.0567114
$299$		0			0
$300$	2.52284			0.145656
$301$	−2.76077	−	1.77424i	−0.159128	−	0.102265i
$302$	0.228715	+	1.59075i	0.0131611	+	0.0915374i
$303$	1.83004	+	4.00723i	0.105133	+	0.230209i
$304$	14.8887	+	4.37173i	0.853927	+	0.250736i
$305$	2.26306	−	4.95542i	0.129583	−	0.283746i
$306$	−2.69319	+	3.10811i	−0.153960	+	0.177679i
$307$	3.64757	−	25.3694i	0.208178	−	1.44791i	−0.570921	−	0.821005i	$-0.693414\pi$
$307$	3.64757	−	25.3694i	0.208178	−	1.44791i	0.779098	−	0.626902i	$-0.215677\pi$
$308$	16.0190	−	4.70362i	0.912770	−	0.268013i
$309$	−4.63164	−	5.34519i	−0.263485	−	0.304078i
$310$	−1.42765	+	0.917492i	−0.0810849	+	0.0521101i
$311$	−3.12412	+	2.00775i	−0.177153	+	0.113849i	−0.626212	−	0.779653i	$-0.715396\pi$
$311$	−3.12412	+	2.00775i	−0.177153	+	0.113849i	0.449059	+	0.893502i	$0.351759\pi$
$312$	0.962839	+	1.11118i	0.0545100	+	0.0629079i
$313$	−15.0916	+	4.43130i	−0.853029	+	0.250472i	−0.678882	−	0.734248i	$-0.737535\pi$
$313$	−15.0916	+	4.43130i	−0.853029	+	0.250472i	−0.174147	+	0.984720i	$0.555717\pi$
$314$	−0.327705	+	2.27924i	−0.0184935	+	0.128625i
$315$	−6.99135	+	8.06845i	−0.393918	+	0.454605i
$316$	−1.93984	+	4.24765i	−0.109124	+	0.238949i
$317$	3.17105	+	0.931104i	0.178104	+	0.0522960i	0.369568	−	0.929204i	$-0.379506\pi$
$317$	3.17105	+	0.931104i	0.178104	+	0.0522960i	−0.191465	+	0.981500i	$0.561324\pi$
$318$	−0.316413	−	0.692848i	−0.0177436	−	0.0388530i
$319$	3.01737	+	20.9862i	0.168940	+	1.17500i
$320$	−8.51572	−	5.47272i	−0.476043	−	0.305934i
$321$	−7.76120			−0.433188
$322$		0			0
$323$	26.5569			1.47766
$324$	−11.4295	−	7.34531i	−0.634974	−	0.408073i
$325$	1.26946	+	8.82928i	0.0704169	+	0.489761i
$326$	−0.592248	−	1.29684i	−0.0328016	−	0.0718255i
$327$	−6.90600	−	2.02778i	−0.381903	−	0.112137i
$328$	−1.25793	+	2.75448i	−0.0694576	+	0.152091i
$329$	5.69821	−	6.57609i	0.314153	−	0.362551i
$330$	0.0822629	−	0.572151i	0.00452842	−	0.0314959i
$331$	−7.67658	+	2.25405i	−0.421943	+	0.123894i	−0.485809	−	0.874065i	$-0.661475\pi$
$331$	−7.67658	+	2.25405i	−0.421943	+	0.123894i	0.0638663	+	0.997958i	$0.479657\pi$
$332$	3.76475	+	4.34476i	0.206618	+	0.238449i
$333$	−0.0885071	+	0.0568800i	−0.00485016	+	0.00311701i
$334$	0.350057	−	0.224968i	0.0191542	−	0.0123097i
$335$	6.75819	+	7.79937i	0.369239	+	0.426125i
$336$	4.29094	−	1.25993i	0.234090	−	0.0687351i
$337$	−0.198138	+	1.37808i	−0.0107933	+	0.0750690i	−0.994506	−	0.104678i	$-0.966619\pi$
$337$	−0.198138	+	1.37808i	−0.0107933	+	0.0750690i	0.983713	+	0.179747i	$0.0575279\pi$
$338$	0.335156	−	0.386790i	0.0182301	−	0.0210386i
$339$	−0.229867	+	0.503338i	−0.0124846	+	0.0273376i
$340$	−17.7188	−	5.20270i	−0.960935	−	0.282156i
$341$	6.64411	+	14.5486i	0.359799	+	0.787849i
$342$	−0.394513	−	2.74390i	−0.0213328	−	0.148373i
$343$	16.1011	+	10.3476i	0.869379	+	0.558716i
$344$	−1.20212			−0.0648141
$345$		0			0
$346$	−2.41484			−0.129823
$347$	14.1571	+	9.09821i	0.759992	+	0.488418i	0.862339	−	0.506331i	$-0.168999\pi$
$347$	14.1571	+	9.09821i	0.759992	+	0.488418i	−0.102347	+	0.994749i	$0.532635\pi$
$348$	0.832894	+	5.79291i	0.0446478	+	0.310532i
$349$	−7.94595	−	17.3992i	−0.425337	−	0.931358i	−0.994060	−	0.108830i	$-0.965290\pi$
$349$	−7.94595	−	17.3992i	−0.425337	−	0.931358i	0.568723	−	0.822529i	$-0.307438\pi$
$350$	−1.56555	−	0.459686i	−0.0836819	−	0.0245712i
$351$	−3.77898	+	8.27481i	−0.201707	+	0.441677i
$352$	6.03571	−	6.96558i	0.321704	−	0.371267i
$353$	−4.78888	+	33.3074i	−0.254886	+	1.77277i	0.313085	+	0.949725i	$0.398637\pi$
$353$	−4.78888	+	33.3074i	−0.254886	+	1.77277i	−0.567971	+	0.823048i	$0.692272\pi$
$354$	1.13209	−	0.332412i	0.0601700	−	0.0176675i
$355$	−4.05303	−	4.67745i	−0.215113	−	0.248253i
$356$	−20.2155	+	12.9917i	−1.07142	+	0.688559i
$357$	6.43871	−	4.13791i	0.340773	−	0.219001i
$358$	1.59591	+	1.84178i	0.0843465	+	0.0973411i
$359$	18.8363	−	5.53084i	0.994142	−	0.291906i	0.256092	−	0.966652i	$-0.417565\pi$
$359$	18.8363	−	5.53084i	0.994142	−	0.291906i	0.738050	+	0.674746i	$0.235747\pi$
$360$	−0.556554	+	3.87092i	−0.0293330	+	0.204015i
$361$	0.719902	−	0.830811i	0.0378896	−	0.0437269i
$362$	0.912766	−	1.99868i	0.0479739	−	0.105048i
$363$	−0.172624	−	0.0506868i	−0.00906039	−	0.00266037i
$364$	6.76890	+	14.8218i	0.354787	+	0.776875i
$365$	−0.939335	−	6.53322i	−0.0491670	−	0.341964i
$366$	0.342953	+	0.220403i	0.0179265	+	0.0115206i
$367$	6.73062			0.351336			0.175668	−	0.984449i	$-0.443792\pi$
$367$	6.73062			0.351336			0.175668	+	0.984449i	$0.443792\pi$
$368$		0			0
$369$	−8.99539			−0.468281
$370$	0.0114320	+	0.00734690i	0.000594321	+	0.000381947i
$371$	−2.43717	−	16.9509i	−0.126532	−	0.880046i
$372$	1.83400	+	4.01589i	0.0950883	+	0.208214i
$373$	−24.3021	−	7.13573i	−1.25831	−	0.369474i	−0.416447	−	0.909160i	$-0.636725\pi$
$373$	−24.3021	−	7.13573i	−1.25831	−	0.369474i	−0.841866	+	0.539686i	$0.818543\pi$
$374$	2.07972	−	4.55396i	0.107540	−	0.235480i
$375$	3.65903	−	4.22274i	0.188951	−	0.218061i
$376$	0.453613	−	3.15494i	0.0233933	−	0.162704i
$377$	−19.8546	+	5.82983i	−1.02256	+	0.300251i
$378$	−1.08967	−	1.25755i	−0.0560468	−	0.0646814i
$379$	24.2763	−	15.6014i	1.24699	−	0.801391i	0.260541	−	0.965463i	$-0.416099\pi$
$379$	24.2763	−	15.6014i	1.24699	−	0.801391i	0.986448	+	0.164072i	$0.0524629\pi$
$380$	10.4715	−	6.72966i	0.537179	−	0.345224i
$381$	−3.27516	−	3.77973i	−0.167791	−	0.193642i
$382$	4.65829	−	1.36780i	0.238339	−	0.0699827i
$383$	1.83521	−	12.7642i	0.0937750	−	0.652219i	−0.887671	−	0.460479i	$-0.847678\pi$
$383$	1.83521	−	12.7642i	0.0937750	−	0.652219i	0.981446	−	0.191741i	$-0.0614132\pi$
$384$	2.21005	−	2.55053i	0.112781	−	0.130156i
$385$	5.39882	−	11.8218i	0.275150	−	0.602493i
$386$	3.11682	+	0.915181i	0.158642	+	0.0465815i
$387$	−1.48346	−	3.24833i	−0.0754086	−	0.165122i
$388$	−2.93728	−	20.4292i	−0.149118	−	1.03714i
$389$	1.76366	+	1.13343i	0.0894210	+	0.0574674i	0.584587	−	0.811331i	$-0.301256\pi$
$389$	1.76366	+	1.13343i	0.0894210	+	0.0574674i	−0.495166	+	0.868798i	$0.664893\pi$
$390$	0.564150			0.0285669
$391$		0			0
$392$	0.482074			0.0243484
$393$	−6.12141	−	3.93399i	−0.308784	−	0.198444i
$394$	−0.0773863	−	0.538233i	−0.00389866	−	0.0271158i
$395$	1.51004	+	3.30652i	0.0759782	+	0.166369i
$396$	17.4312	+	5.11827i	0.875952	+	0.257203i
$397$	0.780567	−	1.70920i	0.0391756	−	0.0857825i	−0.889032	−	0.457844i	$-0.848622\pi$
$397$	0.780567	−	1.70920i	0.0391756	−	0.0857825i	0.928208	+	0.372062i	$0.121349\pi$
$398$	−0.264910	+	0.305723i	−0.0132788	+	0.0153245i
$399$	−0.734200	+	5.10648i	−0.0367560	+	0.255644i
$400$	9.53591	−	2.79999i	0.476795	−	0.140000i
$401$	−11.0375	−	12.7379i	−0.551184	−	0.636100i	0.409975	−	0.912097i	$-0.365538\pi$
$401$	−11.0375	−	12.7379i	−0.551184	−	0.636100i	−0.961159	+	0.275997i	$0.910992\pi$
$402$	−0.649684	+	0.417526i	−0.0324033	+	0.0208243i
$403$	−13.1317	+	8.43926i	−0.654138	+	0.420389i
$404$	11.7113	+	13.5155i	0.582657	+	0.672422i
$405$	−10.1476	+	2.97962i	−0.504241	+	0.148058i
$406$	0.538672	−	3.74654i	0.0267338	−	0.185938i
$407$	0.0838697	−	0.0967908i	0.00415727	−	0.00479774i
$408$	1.16466	−	2.55025i	0.0576593	−	0.126256i
$409$	−12.4826	−	3.66523i	−0.617226	−	0.181234i	−0.0418516	−	0.999124i	$-0.513326\pi$
$409$	−12.4826	−	3.66523i	−0.617226	−	0.181234i	−0.575375	+	0.817890i	$0.695144\pi$
$410$	0.482666	+	1.05689i	0.0238372	+	0.0521961i
$411$	−0.0833127	−	0.579453i	−0.00410951	−	0.0285823i
$412$	−24.1540	−	15.5228i	−1.18998	−	0.764755i
$413$	26.5279			1.30535
$414$		0			0
$415$	4.47517			0.219677
$416$	7.56741	+	4.86328i	0.371023	+	0.238442i
$417$	−0.148879	−	1.03547i	−0.00729062	−	0.0507074i
$418$	1.40184	+	3.06960i	0.0685662	+	0.150139i
$419$	28.2193	+	8.28594i	1.37860	+	0.404795i	0.885283	−	0.465053i	$-0.153965\pi$
$419$	28.2193	+	8.28594i	1.37860	+	0.404795i	0.493321	+	0.869847i	$0.335783\pi$
$420$	1.49026	−	3.26321i	0.0727171	−	0.159228i
$421$	−14.6016	+	16.8511i	−0.711639	+	0.821275i	−0.990275	−	0.139122i	$-0.955572\pi$
$421$	−14.6016	+	16.8511i	−0.711639	+	0.821275i	0.278637	+	0.960397i	$0.410117\pi$
$422$	0.269334	−	1.87326i	0.0131110	−	0.0911889i
$423$	9.08495	−	2.66758i	0.441725	−	0.129702i
$424$	−4.10799	−	4.74088i	−0.199502	−	0.230237i
$425$	14.3090	−	9.19581i	0.694087	−	0.446062i
$426$	0.389630	−	0.250400i	0.0188776	−	0.0121319i
$427$	6.00234	+	6.92707i	0.290473	+	0.335224i
$428$	−30.2306	+	8.87652i	−1.46125	+	0.429063i
$429$	0.756669	−	5.26275i	0.0365323	−	0.254088i
$430$	−0.302056	+	0.348591i	−0.0145664	+	0.0168106i
$431$	−0.731770	+	1.60235i	−0.0352481	+	0.0771826i	−0.926437	−	0.376450i	$-0.877145\pi$
$431$	−0.731770	+	1.60235i	−0.0352481	+	0.0771826i	0.891189	+	0.453632i	$0.149872\pi$
$432$	9.72491	+	2.85549i	0.467890	+	0.137385i
$433$	5.73221	+	12.5518i	0.275473	+	0.603201i	0.995913	−	0.0903159i	$-0.0287877\pi$
$433$	5.73221	+	12.5518i	0.275473	+	0.603201i	−0.720441	+	0.693517i	$0.756060\pi$
$434$	−0.406350	−	2.82623i	−0.0195054	−	0.135663i
$435$	3.83256	+	2.46304i	0.183757	+	0.118093i
$436$	−29.2187			−1.39932
$437$		0			0
$438$	0.493928			0.0236008
$439$	6.04734	+	3.88639i	0.288624	+	0.185487i	0.676939	−	0.736040i	$-0.263306\pi$
$439$	6.04734	+	3.88639i	0.288624	+	0.185487i	−0.388315	+	0.921527i	$0.626943\pi$
$440$	−0.677505	−	4.71215i	−0.0322988	−	0.224643i
$441$	0.594897	+	1.30264i	0.0283284	+	0.0620306i
$442$	4.68820	+	1.37658i	0.222995	+	0.0654772i
$443$	−9.71719	+	21.2777i	−0.461678	+	1.01093i	0.525424	+	0.850840i	$0.323907\pi$
$443$	−9.71719	+	21.2777i	−0.461678	+	1.01093i	−0.987102	+	0.160093i	$0.948821\pi$
$444$	0.0231509	−	0.0267175i	0.00109869	−	0.00126796i
$445$	−2.66213	+	18.5155i	−0.126197	+	0.877720i
$446$	−6.47189	+	1.90032i	−0.306453	+	0.0899826i
$447$	1.29829	+	1.49831i	0.0614071	+	0.0708676i
$448$	14.3278	−	9.20789i	0.676923	−	0.435032i
$449$	5.68061	−	3.65070i	0.268084	−	0.172287i	−0.399692	−	0.916650i	$-0.630883\pi$
$449$	5.68061	−	3.65070i	0.268084	−	0.172287i	0.667776	+	0.744362i	$0.267246\pi$
$450$	−1.16269	−	1.34182i	−0.0548097	−	0.0632538i
$451$	10.5067	−	3.08505i	0.494742	−	0.145269i
$452$	−0.319684	+	2.22345i	−0.0150367	+	0.104582i
$453$	2.13127	−	2.45962i	0.100136	−	0.115563i
$454$	−0.921766	+	2.01839i	−0.0432606	+	0.0947276i
$455$	12.1703	+	3.57351i	0.570550	+	0.167529i
$456$	0.785040	+	1.71900i	0.0367629	+	0.0804995i
$457$	−1.02821	−	7.15133i	−0.0480974	−	0.334525i	−0.999636	−	0.0269943i	$-0.991406\pi$
$457$	−1.02821	−	7.15133i	−0.0480974	−	0.334525i	0.951538	−	0.307531i	$-0.0995027\pi$
$458$	−1.32352	−	0.850576i	−0.0618441	−	0.0397448i
$459$	17.3462			0.809653
$460$		0			0
$461$	−32.1800			−1.49877			−0.749385	−	0.662134i	$-0.769651\pi$
$461$	−32.1800			−1.49877			−0.749385	+	0.662134i	$0.769651\pi$
$462$	0.818159	+	0.525799i	0.0380642	+	0.0244624i
$463$	2.67184	+	18.5831i	0.124171	+	0.863629i	0.952750	+	0.303756i	$0.0982409\pi$
$463$	2.67184	+	18.5831i	0.124171	+	0.863629i	−0.828579	+	0.559873i	$0.810850\pi$
$464$	9.57751	+	20.9718i	0.444625	+	0.973592i
$465$	3.29746	+	0.968223i	0.152916	+	0.0449003i
$466$	−2.51872	+	5.51522i	−0.116677	+	0.255488i
$467$	−18.6472	+	21.5200i	−0.862888	+	0.995826i	0.137098	+	0.990557i	$0.456222\pi$
$467$	−18.6472	+	21.5200i	−0.862888	+	0.995826i	−0.999986	+	0.00526856i	$0.998323\pi$
$468$	−2.52335	+	17.5503i	−0.116642	+	0.811262i
$469$	−16.6602	+	4.89187i	−0.769296	+	0.225886i
$470$	−0.800892	−	0.924279i	−0.0369424	−	0.0426338i
$471$	3.92288	−	2.52108i	0.180757	−	0.116165i
$472$	8.17476	−	5.25360i	0.376274	−	0.241816i
$473$	2.84674	+	3.28532i	0.130893	+	0.151059i
$474$	−0.261000	+	0.0766366i	−0.0119881	+	0.00352004i
$475$	−1.63164	+	11.3483i	−0.0748647	+	0.520695i
$476$	20.3469	−	23.4815i	0.932597	−	1.07627i
$477$	7.74121	−	16.9509i	0.354446	−	0.776128i
$478$	0.347632	+	0.102074i	0.0159003	+	0.00466876i
$479$	1.96386	+	4.30024i	0.0897308	+	0.196483i	0.949177	−	0.314744i	$-0.101919\pi$
$479$	1.96386	+	4.30024i	0.0897308	+	0.196483i	−0.859446	+	0.511227i	$0.829191\pi$
$480$	−0.281847	−	1.96029i	−0.0128645	−	0.0894745i
$481$	0.105154	+	0.0675781i	0.00479459	+	0.00308130i
$482$	−6.59911			−0.300581
$483$		0			0
$484$	−0.730356			−0.0331980
$485$	−13.5159	−	8.68612i	−0.613724	−	0.394416i
$486$	−0.391648	−	2.72397i	−0.0177655	−	0.123562i
$487$	13.1589	+	28.8139i	0.596285	+	1.30568i	0.931569	+	0.363565i	$0.118441\pi$
$487$	13.1589	+	28.8139i	0.596285	+	1.30568i	−0.335284	+	0.942117i	$0.608832\pi$
$488$	3.22150	+	0.945919i	0.145831	+	0.0428197i
$489$	−1.19936	+	2.62623i	−0.0542368	+	0.118762i
$490$	0.121130	−	0.139792i	0.00547211	−	0.00631515i
$491$	1.02450	−	7.12552i	0.0462348	−	0.321570i	−0.953558	−	0.301210i	$-0.902610\pi$
$491$	1.02450	−	7.12552i	0.0462348	−	0.321570i	0.999793	−	0.0203604i	$-0.00648138\pi$
$492$	2.90021	−	0.851578i	0.130751	−	0.0383921i
$493$	25.8393	+	29.8201i	1.16374	+	1.34303i
$494$	−2.77066	+	1.78060i	−0.124658	+	0.0801128i
$495$	11.8969	−	7.64569i	0.534727	−	0.343648i
$496$	11.3893	+	13.1439i	0.511393	+	0.590179i
$497$	9.99148	−	2.93376i	0.448179	−	0.131597i
$498$	−0.0476599	+	0.331482i	−0.00213569	+	0.0148541i
$499$	14.9264	−	17.2260i	0.668199	−	0.771142i	−0.315895	−	0.948794i	$-0.602305\pi$
$499$	14.9264	−	17.2260i	0.668199	−	0.771142i	0.984093	+	0.177652i	$0.0568501\pi$
$500$	9.42270	−	20.6328i	0.421396	−	0.922728i
$501$	−0.808533	−	0.237407i	−0.0361226	−	0.0106066i
$502$	−1.10686	−	2.42368i	−0.0494015	−	0.108174i
$503$	3.47666	+	24.1807i	0.155017	+	1.07816i	0.907651	+	0.419726i	$0.137874\pi$
$503$	3.47666	+	24.1807i	0.155017	+	1.07816i	−0.752634	+	0.658439i	$0.771217\pi$
$504$	−5.53530	−	3.55732i	−0.246562	−	0.158456i
$505$	13.9212			0.619485
$506$		0			0
$507$	−1.03644			−0.0460297
$508$	−17.0800	−	10.9766i	−0.757801	−	0.487009i
$509$	1.11436	+	7.75055i	0.0493932	+	0.343537i	0.999500	+	0.0316129i	$0.0100644\pi$
$509$	1.11436	+	7.75055i	0.0493932	+	0.343537i	−0.950107	+	0.311924i	$0.899027\pi$
$510$	−0.446879	−	0.978528i	−0.0197881	−	0.0433299i
$511$	10.6554	+	3.12870i	0.471366	+	0.138406i
$512$	7.00550	−	15.3399i	0.309602	−	0.677935i
$513$	−7.65679	+	8.83640i	−0.338055	+	0.390137i
$514$	0.553312	−	3.84837i	0.0244056	−	0.169744i
$515$	−21.4450	+	6.29682i	−0.944980	+	0.277471i
$516$	0.785797	+	0.906858i	0.0345928	+	0.0399222i
$517$	−9.69645	+	6.23153i	−0.426449	+	0.274062i
$518$	−0.0192344	+	0.0123612i	−0.000845112	+	0.000543121i
$519$	3.20245	+	3.69582i	0.140572	+	0.162229i
$520$	4.45805	−	1.30900i	0.195498	−	0.0574035i
$521$	−0.431737	+	3.00280i	−0.0189148	+	0.131555i	−0.997091	−	0.0762227i	$-0.975714\pi$
$521$	−0.431737	+	3.00280i	−0.0189148	+	0.131555i	0.978176	+	0.207778i	$0.0666231\pi$
$522$	2.69721	−	3.11274i	0.118053	−	0.136241i
$523$	12.3165	−	26.9694i	0.538564	−	1.17929i	−0.423357	−	0.905963i	$-0.639148\pi$
$523$	12.3165	−	26.9694i	0.538564	−	1.17929i	0.961921	−	0.273328i	$-0.0881245\pi$
$524$	−28.3428	−	8.32220i	−1.23816	−	0.363557i
$525$	1.37262	+	3.00562i	0.0599061	+	0.131176i
$526$	0.790817	+	5.50025i	0.0344813	+	0.239822i
$527$	25.0400	+	16.0923i	1.09076	+	0.700989i
$528$	−5.92389			−0.257804
$529$		0			0
$530$	−2.40697			−0.104552
$531$	24.2840	+	15.6064i	1.05384	+	0.677260i
$532$	2.98051	+	20.7299i	0.129222	+	0.898756i
$533$	4.43965	+	9.72147i	0.192302	+	0.421084i
$534$	−1.34312	−	0.394376i	−0.0581225	−	0.0170663i
$535$	−10.1885	+	22.3097i	−0.440487	+	0.964532i
$536$	−4.16517	+	4.80686i	−0.179908	+	0.207625i
$537$	0.702352	−	4.88496i	0.0303087	−	0.210802i
$538$	−1.00786	+	0.295936i	−0.0434521	+	0.0127587i
$539$	−1.14160	−	1.31748i	−0.0491722	−	0.0567477i
$540$	6.83973	−	4.39563i	0.294335	−	0.189158i
$541$	19.9922	−	12.8482i	0.859532	−	0.552388i	−0.0350020	−	0.999387i	$-0.511144\pi$
$541$	19.9922	−	12.8482i	0.859532	−	0.552388i	0.894534	+	0.446999i	$0.147507\pi$
$542$	3.05090	+	3.52093i	0.131047	+	0.151237i
$543$	−4.26937	+	1.25360i	−0.183216	+	0.0537971i
$544$	2.44109	−	16.9781i	0.104661	−	0.727931i
$545$	−14.8947	+	17.1894i	−0.638019	+	0.736314i
$546$	−0.394306	+	0.863411i	−0.0168748	+	0.0369506i
$547$	18.3388	+	5.38476i	0.784111	+	0.230236i	0.649196	−	0.760621i	$-0.275106\pi$
$547$	18.3388	+	5.38476i	0.784111	+	0.230236i	0.134915	+	0.990857i	$0.456924\pi$
$548$	−0.987233	−	2.16174i	−0.0421725	−	0.0923449i
$549$	1.41943	+	9.87232i	0.0605796	+	0.421341i
$550$	1.81822	+	1.16850i	0.0775293	+	0.0498250i
$551$	−26.5965			−1.13305
$552$		0			0
$553$	−6.11593			−0.260076
$554$	−3.75159	−	2.41100i	−0.159390	−	0.102434i
$555$	−0.00391643	−	0.0272394i	−0.000166243	−	0.00115625i
$556$	−1.76417	−	3.86300i	−0.0748176	−	0.163828i
$557$	18.8308	+	5.52922i	0.797886	+	0.234281i	0.655168	−	0.755483i	$-0.272598\pi$
$557$	18.8308	+	5.52922i	0.797886	+	0.234281i	0.142718	+	0.989763i	$0.454416\pi$
$558$	1.29070	−	2.82623i	0.0546395	−	0.119644i
$559$	−2.77836	+	3.20640i	−0.117512	+	0.135616i
$560$	2.01122	−	13.9883i	0.0849896	−	0.591115i
$561$	−9.72769	+	2.85631i	−0.410704	+	0.120593i
$562$	−2.97216	−	3.43006i	−0.125373	−	0.144688i
$563$	37.5868	−	24.1556i	1.58409	−	1.01804i	0.609858	−	0.792511i	$-0.291227\pi$
$563$	37.5868	−	24.1556i	1.58409	−	1.01804i	0.974237	−	0.225525i	$-0.0724097\pi$
$564$	−2.67655	+	1.72011i	−0.112703	+	0.0724298i
$565$	1.14509	+	1.32151i	0.0481745	+	0.0555963i
$566$	−0.247334	+	0.0726237i	−0.0103962	+	0.00305260i
$567$	2.53239	−	17.6132i	0.106350	−	0.739683i
$568$	2.49794	−	2.88278i	0.104811	−	0.120959i
$569$	1.72199	−	3.77063i	0.0721896	−	0.158073i	−0.870097	−	0.492881i	$-0.835944\pi$
$569$	1.72199	−	3.77063i	0.0721896	−	0.158073i	0.942287	+	0.334807i	$0.108671\pi$
$570$	0.695731	+	0.204285i	0.0291410	+	0.00855657i
$571$	−5.56168	−	12.1784i	−0.232749	−	0.509650i	0.756835	−	0.653606i	$-0.226745\pi$
$571$	−5.56168	−	12.1784i	−0.232749	−	0.509650i	−0.989584	+	0.143957i	$0.954017\pi$
$572$	−3.07172	−	21.3643i	−0.128435	−	0.893287i
$573$	−8.27097	−	5.31543i	−0.345525	−	0.222055i
$574$	−1.95489			−0.0815954
$575$		0			0
$576$	18.5329			0.772203
$577$	19.7089	+	12.6662i	0.820493	+	0.527299i	0.882244	−	0.470793i	$-0.156032\pi$
$577$	19.7089	+	12.6662i	0.820493	+	0.527299i	−0.0617509	+	0.998092i	$0.519668\pi$
$578$	−0.753824	−	5.24296i	−0.0313550	−	0.218079i
$579$	−2.73273	−	5.98384i	−0.113568	−	0.248680i
$580$	17.7452	+	5.21045i	0.736828	+	0.216352i
$581$	−3.12787	+	6.84908i	−0.129766	+	0.284148i
$582$	0.787335	−	0.908633i	0.0326361	−	0.0376640i
$583$	−3.22836	+	22.4537i	−0.133705	+	0.929938i
$584$	3.90314	−	1.14607i	0.161513	−	0.0474245i
$585$	9.03853	+	10.4310i	0.373697	+	0.431270i
$586$	−2.77306	+	1.78214i	−0.114554	+	0.0736193i
$587$	−33.7055	+	21.6612i	−1.39118	+	0.894055i	−0.999659	−	0.0261162i	$-0.991686\pi$
$587$	−33.7055	+	21.6612i	−1.39118	+	0.894055i	−0.391517	+	0.920171i	$0.628050\pi$
$588$	−0.315120	−	0.363668i	−0.0129953	−	0.0149974i
$589$	−19.2505	+	5.65246i	−0.793203	+	0.232906i
$590$	0.530626	−	3.69058i	0.0218455	−	0.151939i
$591$	−0.721120	+	0.832217i	−0.0296629	+	0.0342328i
$592$	0.0578536	−	0.126682i	0.00237777	−	0.00520659i
$593$	−5.60458	−	1.64565i	−0.230153	−	0.0675789i	0.164623	−	0.986357i	$-0.447359\pi$
$593$	−5.60458	−	1.64565i	−0.230153	−	0.0675789i	−0.394775	+	0.918778i	$0.629178\pi$
$594$	0.915643	+	2.00498i	0.0375693	+	0.0822652i
$595$	−3.44208	−	23.9402i	−0.141111	−	0.981452i
$596$	6.77060	+	4.35120i	0.277334	+	0.178232i
$597$	0.819209			0.0335280
$598$		0			0
$599$	−5.01179			−0.204776			−0.102388	−	0.994745i	$-0.532648\pi$
$599$	−5.01179			−0.204776			−0.102388	+	0.994745i	$0.532648\pi$
$600$	1.01822	+	0.654369i	0.0415686	+	0.0267145i
$601$	−1.81347	−	12.6130i	−0.0739729	−	0.514493i	−0.992795	−	0.119822i	$-0.961768\pi$
$601$	−1.81347	−	12.6130i	−0.0739729	−	0.514493i	0.918822	−	0.394671i	$-0.129141\pi$
$602$	−0.322387	−	0.705929i	−0.0131395	−	0.0287715i
$603$	−18.1289	−	5.32312i	−0.738265	−	0.216774i
$604$	5.48843	−	12.0180i	0.223321	−	0.489005i
$605$	−0.372311	+	0.429670i	−0.0151366	+	0.0174686i
$606$	−0.148259	+	1.03116i	−0.00602260	+	0.0418881i
$607$	0.593029	−	0.174129i	0.0240703	−	0.00706768i	−0.269675	−	0.962951i	$-0.586916\pi$
$607$	0.593029	−	0.174129i	0.0240703	−	0.00706768i	0.293746	+	0.955884i	$0.405098\pi$
$608$	7.57136	+	8.73782i	0.307059	+	0.354365i
$609$	−6.44831	+	4.14407i	−0.261299	+	0.167926i
$610$	1.08376	−	0.696491i	0.0438802	−	0.0282001i
$611$	−7.36675	−	8.50168i	−0.298027	−	0.343941i
$612$	32.4400	−	9.52526i	1.31131	−	0.385036i
$613$	−4.52660	+	31.4832i	−0.182828	+	1.27160i	0.667208	+	0.744871i	$0.267489\pi$
$613$	−4.52660	+	31.4832i	−0.182828	+	1.27160i	−0.850036	+	0.526724i	$0.823420\pi$
$614$	3.96912	−	4.58061i	0.160181	−	0.184858i
$615$	0.977443	−	2.14030i	0.0394143	−	0.0863053i
$616$	7.68530	+	2.25661i	0.309650	+	0.0909213i
$617$	16.6064	+	36.3629i	0.668548	+	1.46392i	0.874337	+	0.485320i	$0.161297\pi$
$617$	16.6064	+	36.3629i	0.668548	+	1.46392i	−0.205789	+	0.978596i	$0.565976\pi$
$618$	−0.238028	−	1.65552i	−0.00957489	−	0.0665948i
$619$	−29.5562	−	18.9946i	−1.18797	−	0.763459i	−0.211131	−	0.977458i	$-0.567715\pi$
$619$	−29.5562	−	18.9946i	−1.18797	−	0.763459i	−0.976834	+	0.213999i	$0.931351\pi$
$620$	13.9513			0.560298
$621$		0			0
$622$	−0.878199			−0.0352126
$623$	−26.4767	−	17.0155i	−1.06076	−	0.681712i
$624$	−0.822807	−	5.72275i	−0.0329387	−	0.229093i
$625$	−1.70647	−	3.73665i	−0.0682589	−	0.149466i
$626$	−3.56885	−	1.04791i	−0.142640	−	0.0418829i
$627$	2.83885	−	6.21622i	0.113373	−	0.248252i
$628$	12.3966	−	14.3065i	0.494679	−	0.570890i
$629$	0.0339203	−	0.235921i	0.00135249	−	0.00940678i
$630$	−2.42240	+	0.711281i	−0.0965108	+	0.0283381i
$631$	−30.9243	−	35.6885i	−1.23108	−	1.42074i	−0.873479	−	0.486861i	$-0.838142\pi$
$631$	−30.9243	−	35.6885i	−1.23108	−	1.42074i	−0.357596	−	0.933876i	$-0.616404\pi$
$632$	−1.88467	+	1.21120i	−0.0749680	+	0.0481790i
$633$	−3.22413	+	2.07202i	−0.128148	+	0.0823556i
$634$	0.511802	+	0.590651i	0.0203263	+	0.0234578i
$635$	−15.1643	+	4.45265i	−0.601779	+	0.176698i
$636$	−0.891136	+	6.19798i	−0.0353358	+	0.245766i
$637$	1.11418	−	1.28583i	0.0441454	−	0.0509465i
$638$	−2.08282	+	4.56075i	−0.0824597	+	0.180562i
$639$	10.8723	+	3.19239i	0.430101	+	0.126289i
$640$	−4.43030	−	9.70101i	−0.175123	−	0.383466i
$641$	−0.983429	−	6.83990i	−0.0388431	−	0.270160i	0.961139	−	0.276063i	$-0.0890299\pi$
$641$	−0.983429	−	6.83990i	−0.0388431	−	0.270160i	−0.999983	+	0.00590353i	$0.998121\pi$
$642$	−1.54400	−	0.992271i	−0.0609370	−	0.0391618i
$643$	38.9219			1.53493			0.767465	−	0.641091i	$-0.221518\pi$
$643$	38.9219			1.53493			0.767465	+	0.641091i	$0.221518\pi$
$644$		0			0
$645$	0.934078			0.0367793
$646$	5.28319	+	3.39530i	0.207864	+	0.133586i
$647$	−1.65845	−	11.5348i	−0.0652004	−	0.453479i	−0.996102	−	0.0882087i	$-0.971886\pi$
$647$	−1.65845	−	11.5348i	−0.0652004	−	0.453479i	0.930902	−	0.365270i	$-0.119023\pi$
$648$	−2.70775	−	5.92914i	−0.106370	−	0.232918i
$649$	−33.7164	−	9.90002i	−1.32348	−	0.388610i
$650$	−0.876281	+	1.91879i	−0.0343706	+	0.0752610i
$651$	−3.78655	+	4.36992i	−0.148407	+	0.171271i
$652$	−1.66799	+	11.6011i	−0.0653235	+	0.454335i
$653$	37.8544	−	11.1150i	1.48136	−	0.434965i	0.561584	−	0.827420i	$-0.310192\pi$
$653$	37.8544	−	11.1150i	1.48136	−	0.434965i	0.919771	+	0.392455i	$0.128374\pi$
$654$	−1.11462	−	1.28634i	−0.0435850	−	0.0502998i
$655$	−19.3442	+	12.4317i	−0.755839	+	0.485748i
$656$	10.0172	−	6.43764i	0.391104	−	0.251348i
$657$	7.91348	+	9.13264i	0.308734	+	0.356298i
$658$	1.97435	−	0.579721i	0.0769681	−	0.0225999i
$659$	0.106183	−	0.738521i	0.00413631	−	0.0287687i	−0.987649	−	0.156684i	$-0.949920\pi$
$659$	0.106183	−	0.738521i	0.00413631	−	0.0287687i	0.991785	+	0.127915i	$0.0408286\pi$
$660$	−3.11189	+	3.59131i	−0.121130	+	0.139792i
$661$	−12.1312	+	26.5635i	−0.471847	+	1.03320i	0.512778	+	0.858521i	$0.328617\pi$
$661$	−12.1312	+	26.5635i	−0.471847	+	1.03320i	−0.984625	+	0.174680i	$0.944111\pi$
$662$	−1.81535	−	0.533035i	−0.0705555	−	0.0207170i
$663$	−4.11047	−	9.00067i	−0.159637	−	0.349557i
$664$	0.392520	+	2.73004i	0.0152327	+	0.105946i
$665$	13.7148	+	8.81398i	0.531838	+	0.341791i
$666$	−0.0248796			−0.000964065
$667$		0			0
$668$	−3.42084			−0.132356
$669$	11.4911	+	7.38487i	0.444271	+	0.285515i
$670$	0.347315	+	2.41563i	0.0134180	+	0.0933240i
$671$	−5.04371	−	11.0442i	−0.194710	−	0.426356i
$672$	3.19714	+	0.938766i	0.123332	+	0.0362137i
$673$	6.95199	−	15.2227i	0.267980	−	0.586794i	−0.727026	−	0.686610i	$-0.759098\pi$
$673$	6.95199	−	15.2227i	0.267980	−	0.586794i	0.995006	+	0.0998160i	$0.0318254\pi$
$674$	−0.215606	+	0.248822i	−0.00830482	+	0.00958427i
$675$	−1.06574	+	7.41240i	−0.0410204	+	0.285303i
$676$	−4.03702	+	1.18538i	−0.155270	+	0.0455914i
$677$	−29.6187	−	34.1818i	−1.13834	−	1.31371i	−0.942929	−	0.332994i	$-0.891941\pi$
$677$	−29.6187	−	34.1818i	−1.13834	−	1.31371i	−0.195411	−	0.980721i	$-0.562604\pi$
$678$	−0.110081	+	0.0707449i	−0.00422764	+	0.00271694i
$679$	22.7405	−	14.6145i	0.872702	−	0.560851i
$680$	−5.80183	−	6.69567i	−0.222490	−	0.256767i
$681$	4.31147	−	1.26596i	0.165216	−	0.0485117i
$682$	−0.538266	+	3.74372i	−0.0206113	+	0.143355i
$683$	−22.7918	+	26.3032i	−0.872105	+	1.00646i	0.127788	+	0.991802i	$0.459212\pi$
$683$	−22.7918	+	26.3032i	−0.872105	+	1.00646i	−0.999893	+	0.0146607i	$0.995333\pi$
$684$	−9.46704	+	20.7299i	−0.361981	+	0.792629i
$685$	−1.77501	−	0.521191i	−0.0678197	−	0.0199137i
$686$	1.88020	+	4.11706i	0.0717863	+	0.157190i
$687$	0.453419	+	3.15359i	0.0172990	+	0.120317i
$688$	3.97666	+	2.55565i	0.151609	+	0.0974331i
$689$	−22.1397			−0.843457
$690$		0			0
$691$	10.7550			0.409140			0.204570	−	0.978852i	$-0.434420\pi$
$691$	10.7550			0.409140			0.204570	+	0.978852i	$0.434420\pi$
$692$	16.7008	+	10.7329i	0.634868	+	0.408005i
$693$	3.38622	+	23.5517i	0.128632	+	0.894654i
$694$	1.65319	+	3.61997i	0.0627541	+	0.137412i
$695$	−3.17193	−	0.931361i	−0.120318	−	0.0353285i
$696$	−1.16640	+	2.55405i	−0.0442121	+	0.0968111i
$697$	13.3453	−	15.4013i	0.505489	−	0.583365i
$698$	0.643734	−	4.47727i	0.0243657	−	0.169467i
$699$	11.7810	−	3.45923i	0.445600	−	0.130840i
$700$	8.78404	+	10.1373i	0.332005	+	0.383155i
$701$	−17.0438	+	10.9534i	−0.643736	+	0.413704i	−0.821372	−	0.570392i	$-0.806791\pi$
$701$	−17.0438	+	10.9534i	−0.643736	+	0.413704i	0.177637	+	0.984096i	$0.443155\pi$
$702$	−1.80972	+	1.16304i	−0.0683035	+	0.0438960i
$703$	0.105209	+	0.121417i	0.00396802	+	0.00457933i
$704$	−21.6466	+	6.35601i	−0.815836	+	0.239551i
$705$	−0.352468	+	2.45147i	−0.0132747	+	0.0923277i
$706$	−5.21105	+	6.01387i	−0.196120	+	0.226335i
$707$	−9.73007	+	21.3059i	−0.365937	+	0.801290i
$708$	−9.30685	−	2.73274i	−0.349773	−	0.102703i
$709$	−5.46349	−	11.9634i	−0.205186	−	0.449294i	0.778863	−	0.627194i	$-0.215797\pi$
$709$	−5.46349	−	11.9634i	−0.205186	−	0.449294i	−0.984049	+	0.177900i	$0.943070\pi$
$710$	−0.208293	−	1.44871i	−0.00781708	−	0.0543690i
$711$	−5.59861	−	3.59801i	−0.209964	−	0.134936i
$712$	−11.5287			−0.432057
$713$		0			0
$714$	1.80994			0.0677353
$715$	−14.1345	−	9.08370i	−0.528601	−	0.339711i
$716$	−2.85122	−	19.8307i	−0.106555	−	0.741108i
$717$	−0.304793	−	0.667404i	−0.0113827	−	0.0249247i
$718$	4.45439	+	1.30793i	0.166236	+	0.0488114i
$719$	−11.9393	+	26.1434i	−0.445260	+	0.974983i	0.545343	+	0.838213i	$0.316399\pi$
$719$	−11.9393	+	26.1434i	−0.445260	+	0.974983i	−0.990603	+	0.136770i	$0.956328\pi$
$720$	10.0705	−	11.6219i	0.375304	−	0.433124i
$721$	5.35169	−	37.2219i	0.199308	−	1.38621i
$722$	0.249436	−	0.0732409i	0.00928304	−	0.00272575i
$723$	8.75143	+	10.0997i	0.325469	+	0.375611i
$724$	−15.1959	+	9.76579i	−0.564750	+	0.362943i
$725$	−14.3303	+	9.20952i	−0.532214	+	0.342033i
$726$	−0.0278612	−	0.0321535i	−0.00103403	−	0.00119333i
$727$	26.7207	−	7.84591i	0.991017	−	0.290989i	0.254252	−	0.967138i	$-0.418171\pi$
$727$	26.7207	−	7.84591i	0.991017	−	0.290989i	0.736765	+	0.676149i	$0.236353\pi$
$728$	−1.11253	+	7.73779i	−0.0412330	+	0.286782i
$729$	10.0801	−	11.6330i	0.373335	−	0.430852i
$730$	0.648403	−	1.41980i	0.0239985	−	0.0525493i
$731$	7.76238	+	2.27924i	0.287102	+	0.0843007i
$732$	−1.39223	−	3.04856i	−0.0514584	−	0.112678i
$733$	3.55996	+	24.7601i	0.131490	+	0.914535i	0.943614	+	0.331049i	$0.107403\pi$
$733$	3.55996	+	24.7601i	0.131490	+	0.914535i	−0.812123	+	0.583486i	$0.801688\pi$
$734$	1.33898	+	0.860511i	0.0494227	+	0.0317620i
$735$	−0.374584			−0.0138167
$736$		0			0
$737$	23.0003			0.847229
$738$	−1.78953	−	1.15006i	−0.0658736	−	0.0423344i
$739$	−0.909161	−	6.32335i	−0.0334440	−	0.232608i	0.966243	−	0.257633i	$-0.0829426\pi$
$739$	−0.909161	−	6.32335i	−0.0334440	−	0.232608i	−0.999687	+	0.0250249i	$0.992034\pi$
$740$	−0.0464086	−	0.101621i	−0.00170602	−	0.00373565i
$741$	6.39946	+	1.87905i	0.235090	+	0.0690287i
$742$	1.68233	−	3.68378i	0.0617601	−	0.135236i
$743$	18.9383	−	21.8560i	0.694779	−	0.801818i	−0.293258	−	0.956033i	$-0.594740\pi$
$743$	18.9383	−	21.8560i	0.694779	−	0.801818i	0.988037	+	0.154215i	$0.0492850\pi$
$744$	−0.301433	+	2.09651i	−0.0110511	+	0.0768619i
$745$	6.01124	−	1.76506i	0.220235	−	0.0646667i
$746$	−3.92232	−	4.52660i	−0.143606	−	0.165730i
$747$	−6.89262	+	4.42962i	−0.252188	+	0.162071i
$748$	−34.6235	+	22.2512i	−1.26596	+	0.813585i
$749$	−27.0230	−	31.1862i	−0.987399	−	1.13952i
$750$	1.26780	−	0.372260i	0.0462935	−	0.0135930i
$751$	7.15405	−	49.7575i	0.261055	−	1.81568i	−0.263903	−	0.964549i	$-0.585010\pi$
$751$	7.15405	−	49.7575i	0.261055	−	1.81568i	0.524958	−	0.851128i	$-0.324081\pi$
$752$	−8.20781	+	9.47232i	−0.299308	+	0.345420i
$753$	−2.24149	+	4.90818i	−0.0816844	+	0.178864i
$754$	−4.69519	−	1.37863i	−0.170989	−	0.0502068i
$755$	−4.27239	−	9.35522i	−0.155488	−	0.340471i
$756$	1.94679	+	13.5402i	0.0708041	+	0.492453i
$757$	29.5908	+	19.0168i	1.07549	+	0.691179i	0.953512	−	0.301354i	$-0.0974385\pi$
$757$	29.5908	+	19.0168i	1.07549	+	0.691179i	0.121982	+	0.992532i	$0.461075\pi$
$758$	6.82414			0.247864
$759$		0			0
$760$	5.97184			0.216621
$761$	−29.7143	−	19.0962i	−1.07714	−	0.692237i	−0.123246	−	0.992376i	$-0.539331\pi$
$761$	−29.7143	−	19.0962i	−1.07714	−	0.692237i	−0.953895	+	0.300139i	$0.902967\pi$
$762$	−0.168316	−	1.17066i	−0.00609745	−	0.0424087i
$763$	−15.8973	−	34.8101i	−0.575519	−	1.26021i
$764$	−38.2955	−	11.2446i	−1.38548	−	0.406815i
$765$	10.9331	−	23.9402i	0.395288	−	0.865559i
$766$	1.99700	−	2.30466i	0.0721545	−	0.0832707i
$767$	4.88079	−	33.9466i	0.176235	−	1.22574i
$768$	−5.38131	+	1.58010i	−0.194181	+	0.0570168i
$769$	32.2862	+	37.2603i	1.16427	+	1.34364i	0.928278	+	0.371887i	$0.121289\pi$
$769$	32.2862	+	37.2603i	1.16427	+	1.34364i	0.235994	+	0.971755i	$0.424165\pi$
$770$	2.58545	−	1.66157i	0.0931732	−	0.0598788i
$771$	−6.62357	+	4.25671i	−0.238542	+	0.153302i
$772$	−17.4880	−	20.1822i	−0.629407	−	0.726374i
$773$	−3.59304	+	1.05501i	−0.129233	+	0.0379462i	−0.345709	−	0.938342i	$-0.612362\pi$
$773$	−3.59304	+	1.05501i	−0.129233	+	0.0379462i	0.216477	+	0.976288i	$0.430543\pi$
$774$	0.120181	−	0.835879i	0.00431983	−	0.0300451i
$775$	−8.41499	+	9.71142i	−0.302275	+	0.348844i
$776$	4.11340	−	9.00709i	0.147663	−	0.323336i
$777$	0.0444262	+	0.0130447i	0.00159378	+	0.000467976i
$778$	0.205950	+	0.450968i	0.00738367	+	0.0161680i
$779$	1.95489	+	13.5965i	0.0700411	+	0.487146i
$780$	−3.90160	−	2.50741i	−0.139700	−	0.0897796i
$781$	−13.7938			−0.493581
$782$		0			0
$783$	−17.3721			−0.620827
$784$	−1.59472	−	1.02486i	−0.0569543	−	0.0366023i
$785$	−2.09714	−	14.5859i	−0.0748500	−	0.520593i
$786$	−0.714824	−	1.56525i	−0.0254969	−	0.0558305i
$787$	−11.1654	−	3.27845i	−0.398003	−	0.116864i	0.0766049	−	0.997062i	$-0.475592\pi$
$787$	−11.1654	−	3.27845i	−0.398003	−	0.116864i	−0.474608	+	0.880197i	$0.657410\pi$
$788$	−1.85702	+	4.06631i	−0.0661537	+	0.144856i
$789$	7.36919	−	8.50449i	0.262350	−	0.302768i
$790$	−0.122334	+	0.850853i	−0.00435246	+	0.0302720i
$791$	−2.82287	+	0.828870i	−0.100370	+	0.0294712i
$792$	5.70767	+	6.58701i	0.202813	+	0.234059i
$793$	9.96863	−	6.40645i	0.353996	−	0.227500i
$794$	0.373807	−	0.240231i	0.0132659	−	0.00852549i
$795$	3.19201	+	3.68378i	0.113209	+	0.130650i
$796$	3.19090	−	0.936932i	0.113098	−	0.0332087i
$797$	−7.12373	+	49.5466i	−0.252335	+	1.75503i	0.331776	+	0.943358i	$0.392352\pi$
$797$	−7.12373	+	49.5466i	−0.252335	+	1.75503i	−0.584111	+	0.811674i	$0.698557\pi$
$798$	−0.798924	+	0.922008i	−0.0282816	+	0.0326387i
$799$	−8.91090	+	19.5121i	−0.315245	+	0.690290i
$800$	7.10512	+	2.08625i	0.251204	+	0.0737601i
$801$	−14.2269	−	31.1525i	−0.502682	−	1.10072i
$802$	−0.567234	−	3.94520i	−0.0200297	−	0.139310i
$803$	−12.3751	−	7.95302i	−0.436709	−	0.280656i
$804$	6.34887			0.223907
$805$		0			0
$806$	−3.69137			−0.130023
$807$	1.78950	+	1.15004i	0.0629934	+	0.0404834i
$808$	1.22104	+	8.49250i	0.0429560	+	0.298765i
$809$	−13.3163	−	29.1586i	−0.468176	−	1.02516i	−0.985547	−	0.169402i	$-0.945816\pi$
$809$	−13.3163	−	29.1586i	−0.468176	−	1.02516i	0.517371	−	0.855761i	$-0.326911\pi$
$810$	−2.39970	−	0.704617i	−0.0843170	−	0.0247577i
$811$	20.0929	−	43.9972i	0.705556	−	1.54495i	−0.127546	−	0.991833i	$-0.540710\pi$
$811$	20.0929	−	43.9972i	0.705556	−	1.54495i	0.833102	−	0.553119i	$-0.186563\pi$
$812$	−20.3772	+	23.5165i	−0.715099	+	0.825268i
$813$	1.34268	−	9.33857i	0.0470900	−	0.327518i
$814$	0.0290596	−	0.00853268i	0.00101854	−	0.000299070i
$815$	5.97467	+	6.89514i	0.209284	+	0.241526i
$816$	−9.27444	+	5.96032i	−0.324670	+	0.208653i
$817$	−4.58746	+	2.94818i	−0.160495	+	0.103144i
$818$	−2.01468	−	2.32506i	−0.0704416	−	0.0812939i
$819$	−22.2817	+	6.54249i	−0.778585	+	0.228613i
$820$	1.35936	−	9.45459i	0.0474711	−	0.330169i
$821$	6.89207	−	7.95387i	0.240535	−	0.277592i	−0.622628	−	0.782518i	$-0.713935\pi$
$821$	6.89207	−	7.95387i	0.240535	−	0.277592i	0.863162	+	0.504926i	$0.168480\pi$
$822$	0.0575090	−	0.125927i	0.00200586	−	0.00439221i
$823$	−45.6365	−	13.4001i	−1.59079	−	0.467097i	−0.637824	−	0.770182i	$-0.720165\pi$
$823$	−45.6365	−	13.4001i	−1.59079	−	0.467097i	−0.952964	+	0.303084i	$0.901984\pi$
$824$	−5.72227	−	12.5300i	−0.199345	−	0.436504i
$825$	−0.622895	−	4.33233i	−0.0216864	−	0.150832i
$826$	5.27742	+	3.39159i	0.183625	+	0.118009i
$827$	−52.9294			−1.84053			−0.920267	−	0.391291i	$-0.872029\pi$
$827$	−52.9294			−1.84053			−0.920267	+	0.391291i	$0.872029\pi$
$828$		0			0
$829$	12.4245			0.431522			0.215761	−	0.976446i	$-0.430777\pi$
$829$	12.4245			0.431522			0.215761	+	0.976446i	$0.430777\pi$
$830$	0.890284	+	0.572151i	0.0309022	+	0.0198597i
$831$	1.28524	+	8.93903i	0.0445844	+	0.310091i
$832$	−9.14683	−	20.0288i	−0.317109	−	0.694373i
$833$	−3.11286	−	0.914019i	−0.107854	−	0.0316689i
$834$	0.102768	−	0.225030i	0.00355856	−	0.00779216i
$835$	−1.74383	+	2.01248i	−0.0603476	+	0.0696449i
$836$	3.94809	−	27.4596i	0.136548	−	0.949710i
$837$	−12.5739	+	3.69203i	−0.434618	+	0.127615i
$838$	4.55456	+	5.25624i	0.157335	+	0.181574i
$839$	−36.7493	+	23.6174i	−1.26873	+	0.815362i	−0.989454	−	0.144850i	$-0.953730\pi$
$839$	−36.7493	+	23.6174i	−1.26873	+	0.815362i	−0.279274	+	0.960211i	$0.590094\pi$
$840$	1.44787	−	0.930491i	0.0499563	−	0.0321050i
$841$	−6.88682	−	7.94781i	−0.237476	−	0.274062i
$842$	−5.05925	+	1.48553i	−0.174353	+	0.0511947i
$843$	−1.30803	+	9.09756i	−0.0450510	+	0.313337i
$844$	−10.1885	+	11.7582i	−0.350704	+	0.404734i
$845$	−1.36058	+	2.97925i	−0.0468053	+	0.102489i
$846$	2.14840	+	0.630827i	0.0738635	+	0.0216883i
$847$	−0.397371	−	0.870121i	−0.0136538	−	0.0298977i
$848$	3.51054	+	24.4164i	0.120553	+	0.838461i
$849$	0.439150	+	0.282225i	0.0150716	+	0.00968593i
$850$	4.02229			0.137963
$851$		0			0
$852$	−3.80756			−0.130445
$853$	25.0943	+	16.1271i	0.859211	+	0.552181i	0.894435	−	0.447198i	$-0.147578\pi$
$853$	25.0943	+	16.1271i	0.859211	+	0.552181i	−0.0352239	+	0.999379i	$0.511214\pi$
$854$	0.308471	+	2.14546i	0.0105557	+	0.0734162i
$855$	7.36947	+	16.1369i	0.252031	+	0.551870i
$856$	−14.5035	−	4.25860i	−0.495718	−	0.145556i
$857$	−2.73203	+	5.98230i	−0.0933242	+	0.204351i	−0.950537	−	0.310610i	$-0.899467\pi$
$857$	−2.73203	+	5.98230i	−0.0933242	+	0.204351i	0.857213	+	0.514962i	$0.172194\pi$
$858$	0.823373	−	0.950224i	0.0281095	−	0.0324401i
$859$	−2.62944	+	18.2882i	−0.0897154	+	0.623984i	0.894508	+	0.447053i	$0.147526\pi$
$859$	−2.62944	+	18.2882i	−0.0897154	+	0.623984i	−0.984223	+	0.176932i	$0.943383\pi$
$860$	3.63833	−	1.06831i	0.124066	−	0.0364290i
$861$	2.59248	+	2.99188i	0.0883514	+	0.101963i
$862$	−0.350438	+	0.225213i	−0.0119360	+	0.00767079i
$863$	24.8462	−	15.9677i	0.845773	−	0.543545i	−0.0444807	−	0.999010i	$-0.514163\pi$
$863$	24.8462	−	15.9677i	0.845773	−	0.543545i	0.890254	+	0.455465i	$0.150527\pi$
$864$	4.94541	+	5.70731i	0.168246	+	0.194166i
$865$	14.8277	−	4.35380i	0.504157	−	0.148034i
$866$	−0.464390	+	3.22990i	−0.0157806	+	0.109757i
$867$	−7.02447	+	8.10667i	−0.238564	+	0.275317i
$868$	−9.75111	+	21.3520i	−0.330974	+	0.724732i
$869$	7.77321	+	2.28242i	0.263688	+	0.0774258i
$870$	0.447545	+	0.979986i	0.0151732	+	0.0332246i
$871$	3.19467	+	22.2194i	0.108247	+	0.752875i
$872$	−11.7927	−	7.57869i	−0.399350	−	0.256647i
$873$	29.4147			0.995538
$874$		0			0
$875$	29.7079			1.00431
$876$	−3.41596	−	2.19530i	−0.115414	−	0.0741724i
$877$	−1.22507	−	8.52057i	−0.0413678	−	0.287719i	−0.999995	−	0.00305580i	$-0.999027\pi$
$877$	−1.22507	−	8.52057i	−0.0413678	−	0.287719i	0.958628	−	0.284663i	$-0.0918818\pi$
$878$	0.706175	+	1.54631i	0.0238322	+	0.0521853i
$879$	6.40499	+	1.88067i	0.216035	+	0.0634336i
$880$	−7.77657	+	17.0283i	−0.262148	+	0.574024i
$881$	3.29402	−	3.80151i	0.110979	−	0.128076i	−0.697542	−	0.716544i	$-0.745723\pi$
$881$	3.29402	−	3.80151i	0.110979	−	0.128076i	0.808521	+	0.588468i	$0.200269\pi$
$882$	−0.0481950	+	0.335204i	−0.00162281	+	0.0112869i
$883$	20.7595	−	6.09555i	0.698614	−	0.205132i	0.0869075	−	0.996216i	$-0.472302\pi$
$883$	20.7595	−	6.09555i	0.698614	−	0.205132i	0.611707	+	0.791085i	$0.290483\pi$
$884$	−26.3048	−	30.3573i	−0.884725	−	1.02103i
$885$	−6.35199	+	4.08218i	−0.213520	+	0.137221i
$886$	−4.65348	+	2.99061i	−0.156337	+	0.100471i
$887$	−18.0179	−	20.7938i	−0.604982	−	0.698187i	0.367801	−	0.929905i	$-0.380111\pi$
$887$	−18.0179	−	20.7938i	−0.604982	−	0.698187i	−0.972783	+	0.231718i	$0.925565\pi$
$888$	0.0162736	−	0.00477836i	0.000546107	−	0.000160351i
$889$	3.78433	−	26.3206i	0.126922	−	0.882764i
$890$	−2.89681	+	3.34310i	−0.0971014	+	0.112061i
$891$	−9.79172	+	21.4409i	−0.328035	+	0.718296i
$892$	53.2050	+	15.6224i	1.78143	+	0.523076i
$893$	−6.00640	−	13.1522i	−0.200996	−	0.440121i
$894$	0.0667215	+	0.464058i	0.00223150	+	0.0155204i
$895$	−13.1199	−	8.43164i	−0.438549	−	0.281838i
$896$	17.9435			0.599451
$897$		0			0
$898$	1.59684			0.0532871
$899$	−25.0773	−	16.1162i	−0.836376	−	0.537506i
$900$	2.07724	+	14.4475i	0.0692413	+	0.481584i
$901$	17.5375	+	38.4017i	0.584258	+	1.27935i
$902$	2.48462	+	0.729549i	0.0827287	+	0.0242913i
$903$	−0.652864	+	1.42957i	−0.0217259	+	0.0475732i
$904$	−0.705738	+	0.814465i	−0.0234725	+	0.0270887i
$905$	−2.00111	+	13.9180i	−0.0665191	+	0.462650i
$906$	0.738455	−	0.216830i	0.0245335	−	0.00720369i
$907$	−1.24841	−	1.44074i	−0.0414528	−	0.0478391i	0.734645	−	0.678452i	$-0.237349\pi$
$907$	−1.24841	−	1.44074i	−0.0414528	−	0.0478391i	−0.776097	+	0.630613i	$0.782803\pi$
$908$	15.3457	−	9.86208i	0.509265	−	0.327285i
$909$	−21.4413	+	13.7795i	−0.711164	+	0.457037i
$910$	1.96426	+	2.26688i	0.0651146	+	0.0751463i
$911$	36.1780	−	10.6228i	1.19863	−	0.351949i	0.379301	−	0.925273i	$-0.376165\pi$
$911$	36.1780	−	10.6228i	1.19863	−	0.351949i	0.819329	+	0.573324i	$0.194346\pi$
$912$	1.05756	−	7.35546i	0.0350192	−	0.243564i
$913$	6.53148	−	7.53773i	0.216160	−	0.249462i
$914$	0.709748	−	1.55413i	0.0234764	−	0.0514061i
$915$	−2.50319	−	0.735002i	−0.0827528	−	0.0242984i
$916$	5.37289	+	11.7650i	0.177525	+	0.388726i
$917$	−5.50592	−	38.2945i	−0.181822	−	1.26460i
$918$	3.45084	+	2.21772i	0.113895	+	0.0731956i
$919$	−1.89744			−0.0625909			−0.0312955	−	0.999510i	$-0.509963\pi$
$919$	−1.89744			−0.0625909			−0.0312955	+	0.999510i	$0.509963\pi$
$920$		0			0
$921$	−12.2741			−0.404446
$922$	−6.40184	−	4.11421i	−0.210833	−	0.135494i
$923$	−1.91591	−	13.3255i	−0.0630630	−	0.438613i
$924$	−3.32135	−	7.27273i	−0.109264	−	0.239255i
$925$	0.0987298	+	0.0289897i	0.00324621	+	0.000953175i
$926$	−1.84432	+	4.03849i	−0.0606080	+	0.132713i
$927$	26.7967	−	30.9250i	0.880119	−	1.01571i
$928$	−2.44472	+	17.0034i	−0.0802520	+	0.558165i
$929$	26.7200	−	7.84571i	0.876656	−	0.257409i	0.187712	−	0.982224i	$-0.439893\pi$
$929$	26.7200	−	7.84571i	0.876656	−	0.257409i	0.688944	+	0.724815i	$0.258075\pi$
$930$	0.532206	+	0.614198i	0.0174517	+	0.0201404i
$931$	1.83966	−	1.18228i	0.0602924	−	0.0387476i
$932$	41.9320	−	26.9480i	1.37353	−	0.882713i
$933$	1.16463	+	1.34405i	0.0381282	+	0.0440023i
$934$	−6.46098	+	1.89711i	−0.211410	+	0.0620755i
$935$	−4.55950	+	31.7120i	−0.149111	+	1.03709i
$936$	−5.57058	+	6.42879i	−0.182080	+	0.210132i
$937$	5.95202	−	13.0331i	0.194444	−	0.425773i	−0.787148	−	0.616765i	$-0.788443\pi$
$937$	5.95202	−	13.0331i	0.194444	−	0.425773i	0.981592	+	0.190992i	$0.0611703\pi$
$938$	−3.93978	−	1.15682i	−0.128639	−	0.0377717i
$939$	3.12906	+	6.85168i	0.102113	+	0.223596i
$940$	1.43086	+	9.95184i	0.0466694	+	0.324593i
$941$	−29.4909	−	18.9526i	−0.961375	−	0.617838i	−0.0369970	−	0.999315i	$-0.511779\pi$
$941$	−29.4909	−	18.9526i	−0.961375	−	0.617838i	−0.924378	+	0.381477i	$0.875416\pi$
$942$	1.10273			0.0359290
$943$		0			0
$944$	−38.2113			−1.24367
$945$	8.95814	+	5.75705i	0.291408	+	0.187277i
$946$	0.146299	+	1.01753i	0.00475660	+	0.0330829i
$947$	−3.28806	−	7.19985i	−0.106848	−	0.233964i	0.848655	−	0.528947i	$-0.177413\pi$
$947$	−3.28806	−	7.19985i	−0.106848	−	0.233964i	−0.955502	+	0.294984i	$0.904686\pi$
$948$	2.14567	+	0.630025i	0.0696880	+	0.0204623i
$949$	5.96412	−	13.0596i	0.193604	−	0.423933i
$950$	−1.77548	+	2.04901i	−0.0576041	+	0.0664787i
$951$	0.225241	−	1.56659i	0.00730395	−	0.0508001i
$952$	14.3026	−	4.19962i	0.463549	−	0.136110i
$953$	−11.5545	−	13.3346i	−0.374287	−	0.431950i	0.537089	−	0.843526i	$-0.319524\pi$
$953$	−11.5545	−	13.3346i	−0.374287	−	0.431950i	−0.911376	+	0.411576i	$0.864979\pi$
$954$	3.70720	−	2.38247i	0.120025	−	0.0771354i
$955$	−26.1370	+	16.7972i	−0.845773	+	0.543545i
$956$	−1.95051	−	2.25101i	−0.0630840	−	0.0728029i
$957$	9.74219	−	2.86057i	0.314920	−	0.0924689i
$958$	−0.159100	+	1.10656i	−0.00514028	+	0.0357515i
$959$	2.03829	−	2.35231i	0.0658197	−	0.0759600i
$960$	−2.01379	+	4.40958i	−0.0649947	+	0.142319i
$961$	8.16818	+	2.39839i	0.263490	+	0.0773675i
$962$	0.0122792	+	0.0268878i	0.000395899	+	0.000866897i
$963$	−6.39037	−	44.4460i	−0.205927	−	1.43225i
$964$	45.6387	+	29.3302i	1.46992	+	0.944663i
$965$	−20.7880			−0.669190
$966$		0			0
$967$	−18.1226			−0.582785			−0.291392	−	0.956604i	$-0.594119\pi$
$967$	−18.1226			−0.582785			−0.291392	+	0.956604i	$0.594119\pi$
$968$	−0.294772	−	0.189438i	−0.00947432	−	0.00608878i
$969$	−1.80994	−	12.5884i	−0.0581437	−	0.404398i
$970$	−1.57831	−	3.45601i	−0.0506764	−	0.110966i
$971$	10.1754	+	2.98778i	0.326546	+	0.0958824i	0.440896	−	0.897558i	$-0.354661\pi$
$971$	10.1754	+	2.98778i	0.326546	+	0.0958824i	−0.114351	+	0.993440i	$0.536479\pi$
$972$	−9.39829	+	20.5794i	−0.301450	+	0.660084i
$973$	3.64239	−	4.20355i	0.116770	−	0.134760i
$974$	−1.06605	+	7.41456i	−0.0341585	+	0.237578i
$975$	4.09871	−	1.20349i	0.131264	−	0.0385426i
$976$	−8.64588	−	9.97787i	−0.276748	−	0.319384i
$977$	5.53126	−	3.55473i	0.176961	−	0.113726i	−0.449162	−	0.893450i	$-0.648277\pi$
$977$	5.53126	−	3.55473i	0.176961	−	0.113726i	0.626123	+	0.779725i	$0.284641\pi$
$978$	−0.574362	+	0.369120i	−0.0183661	+	0.0118032i
$979$	27.3012	+	31.5072i	0.872549	+	1.00698i
$980$	−1.45904	+	0.428413i	−0.0466073	+	0.0136851i
$981$	5.92627	−	41.2181i	0.189211	−	1.31599i
$982$	1.11481	−	1.28656i	0.0355750	−	0.0410558i
$983$	18.1584	−	39.7614i	0.579164	−	1.26819i	−0.362608	−	0.931942i	$-0.618114\pi$
$983$	18.1584	−	39.7614i	0.579164	−	1.26819i	0.941772	−	0.336251i	$-0.109159\pi$
$984$	1.39140	+	0.408553i	0.0443563	+	0.0130242i
$985$	1.44557	+	3.16536i	0.0460597	+	0.100857i
$986$	1.32793	+	9.23593i	0.0422898	+	0.294132i
$987$	−3.50553	−	2.25287i	−0.111582	−	0.0717095i
$988$	27.0756			0.861390
$989$		0			0
$990$	3.34426			0.106288
$991$	45.6218	+	29.3193i	1.44922	+	0.931360i	0.999266	+	0.0383098i	$0.0121974\pi$
$991$	45.6218	+	29.3193i	1.44922	+	0.931360i	0.449958	+	0.893050i	$0.351439\pi$
$992$	1.84419	+	12.8266i	0.0585532	+	0.407246i
$993$	1.59164	+	3.48521i	0.0505092	+	0.110600i
$994$	2.36277	+	0.693773i	0.0749427	+	0.0220051i
$995$	1.07541	−	2.35483i	0.0340929	−	0.0746530i
$996$	1.80291	−	2.08067i	0.0571273	−	0.0659284i
$997$	−0.0978754	+	0.680738i	−0.00309974	+	0.0215592i	−0.991313	−	0.131527i	$-0.958012\pi$
$997$	−0.0978754	+	0.680738i	−0.00309974	+	0.0215592i	0.988213	+	0.153086i	$0.0489212\pi$
$998$	5.17179	−	1.51858i	0.163710	−	0.0480697i
$999$	0.0687194	+	0.0793064i	0.00217418	+	0.00250914i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	529.2.c.b.255.1		10
23.2	even	11		529.2.c.d.399.1		10
23.3	even	11		23.2.c.a.18.1	yes	10
23.4	even	11		23.2.c.a.9.1	✓	10
23.5	odd	22		529.2.c.h.487.1		10
23.6	even	11		529.2.c.d.118.1		10
23.7	odd	22		529.2.c.h.466.1		10
23.8	even	11		529.2.c.g.266.1		10
23.9	even	11		529.2.a.i.1.2		5
23.10	odd	22		529.2.c.f.177.1		10
23.11	odd	22		529.2.c.c.334.1		10
23.12	even	11	inner	529.2.c.b.334.1		10
23.13	even	11		529.2.c.g.177.1		10
23.14	odd	22		529.2.a.j.1.2		5
23.15	odd	22		529.2.c.f.266.1		10
23.16	even	11		529.2.c.i.466.1		10
23.17	odd	22		529.2.c.e.118.1		10
23.18	even	11		529.2.c.i.487.1		10
23.19	odd	22		529.2.c.a.170.1		10
23.20	odd	22		529.2.c.a.501.1		10
23.21	odd	22		529.2.c.e.399.1		10
23.22	odd	2		529.2.c.c.255.1		10
69.14	even	22		4761.2.a.bn.1.4		5
69.26	odd	22		207.2.i.c.64.1		10
69.32	odd	22		4761.2.a.bo.1.4		5
69.50	odd	22		207.2.i.c.55.1		10
92.3	odd	22		368.2.m.c.225.1		10
92.27	odd	22		368.2.m.c.193.1		10
92.55	odd	22		8464.2.a.bs.1.3		5
92.83	even	22		8464.2.a.bt.1.3		5
115.3	odd	44		575.2.p.b.524.1		20
115.4	even	22		575.2.k.b.101.1		10
115.27	odd	44		575.2.p.b.124.1		20
115.49	even	22		575.2.k.b.501.1		10
115.72	odd	44		575.2.p.b.524.2		20
115.73	odd	44		575.2.p.b.124.2		20

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
23.2.c.a.9.1	✓	10	23.4	even	11
23.2.c.a.18.1	yes	10	23.3	even	11
207.2.i.c.55.1		10	69.50	odd	22
207.2.i.c.64.1		10	69.26	odd	22
368.2.m.c.193.1		10	92.27	odd	22
368.2.m.c.225.1		10	92.3	odd	22
529.2.a.i.1.2		5	23.9	even	11
529.2.a.j.1.2		5	23.14	odd	22
529.2.c.a.170.1		10	23.19	odd	22
529.2.c.a.501.1		10	23.20	odd	22
529.2.c.b.255.1		10	1.1	even	1	trivial
529.2.c.b.334.1		10	23.12	even	11	inner
529.2.c.c.255.1		10	23.22	odd	2
529.2.c.c.334.1		10	23.11	odd	22
529.2.c.d.118.1		10	23.6	even	11
529.2.c.d.399.1		10	23.2	even	11
529.2.c.e.118.1		10	23.17	odd	22
529.2.c.e.399.1		10	23.21	odd	22
529.2.c.f.177.1		10	23.10	odd	22
529.2.c.f.266.1		10	23.15	odd	22
529.2.c.g.177.1		10	23.13	even	11
529.2.c.g.266.1		10	23.8	even	11
529.2.c.h.466.1		10	23.7	odd	22
529.2.c.h.487.1		10	23.5	odd	22
529.2.c.i.466.1		10	23.16	even	11
529.2.c.i.487.1		10	23.18	even	11
575.2.k.b.101.1		10	115.4	even	22
575.2.k.b.501.1		10	115.49	even	22
575.2.p.b.124.1		20	115.27	odd	44
575.2.p.b.124.2		20	115.73	odd	44
575.2.p.b.524.1		20	115.3	odd	44
575.2.p.b.524.2		20	115.72	odd	44
4761.2.a.bn.1.4		5	69.14	even	22
4761.2.a.bo.1.4		5	69.32	odd	22
8464.2.a.bs.1.3		5	92.55	odd	22
8464.2.a.bt.1.3		5	92.83	even	22

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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 529 = 23^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	529.c (of order \(11\), degree \(10\), not minimal)

\(f(q)\)	\(=\)	\(q+(0.198939 + 0.127850i) q^{2} +(-0.0681534 - 0.474017i) q^{3} +(-0.807599 - 1.76840i) q^{4} +(-1.45204 - 0.426356i) q^{5} +(0.0470448 - 0.103014i) q^{6} +(1.66741 - 1.92429i) q^{7} +(0.132736 - 0.923198i) q^{8} +(2.65843 - 0.780586i) q^{9} +(-0.234356 - 0.270462i) q^{10} +(-2.83737 + 1.82347i) q^{11} +(-0.783209 + 0.503338i) q^{12} +(-2.15565 - 2.48775i) q^{13} +(0.577732 - 0.169638i) q^{14} +(-0.103139 + 0.717348i) q^{15} +(-2.40176 + 2.77178i) q^{16} +(-2.60750 + 5.70963i) q^{17} +(0.628663 + 0.184592i) q^{18} +(-1.75759 - 3.84858i) q^{19} +(0.418697 + 2.91210i) q^{20} +(-1.02579 - 0.659232i) q^{21} -0.797593 q^{22} -0.446658 q^{24} +(-2.27964 - 1.46503i) q^{25} +(-0.110783 - 0.770511i) q^{26} +(-1.14801 - 2.51379i) q^{27} +(-4.74950 - 1.39458i) q^{28} +(2.61139 - 5.71814i) q^{29} +(-0.112231 + 0.129522i) q^{30} +(0.674863 - 4.69378i) q^{31} +(-2.62200 + 0.769888i) q^{32} +(1.05773 + 1.22069i) q^{33} +(-1.24871 + 0.802497i) q^{34} +(-3.24157 + 2.08323i) q^{35} +(-3.52733 - 4.07076i) q^{36} +(-0.0364342 + 0.0106980i) q^{37} +(0.142389 - 0.990339i) q^{38} +(-1.03232 + 1.19136i) q^{39} +(-0.586348 + 1.28392i) q^{40} +(-3.11514 - 0.914689i) q^{41} +(-0.119785 - 0.262294i) q^{42} +(-0.183426 - 1.27576i) q^{43} +(5.51606 + 3.54496i) q^{44} -4.19295 q^{45} +3.41741 q^{47} +(1.47756 + 0.949570i) q^{48} +(0.0735574 + 0.511603i) q^{49} +(-0.266203 - 0.582904i) q^{50} +(2.88417 + 0.846869i) q^{51} +(-2.65843 + 5.82115i) q^{52} +(4.40445 - 5.08301i) q^{53} +(0.0930048 - 0.646863i) q^{54} +(4.89741 - 1.43801i) q^{55} +(-1.55518 - 1.79477i) q^{56} +(-1.70451 + 1.09542i) q^{57} +(1.25057 - 0.803693i) q^{58} +(6.82274 + 7.87387i) q^{59} +(1.35185 - 0.396939i) q^{60} +(-0.512306 + 3.56316i) q^{61} +(0.734356 - 0.847493i) q^{62} +(2.93061 - 6.41715i) q^{63} +(6.41801 + 1.88450i) q^{64} +(2.06941 + 4.53139i) q^{65} +(0.0543586 + 0.378072i) q^{66} +(-5.73684 - 3.68684i) q^{67} +12.2027 q^{68} -0.911214 q^{70} +(3.44051 + 2.21108i) q^{71} +(-0.367766 - 2.55787i) q^{72} +(1.81183 + 3.96735i) q^{73} +(-0.00861592 - 0.00252986i) q^{74} +(-0.539086 + 1.18043i) q^{75} +(-5.38638 + 6.21622i) q^{76} +(-1.22217 + 8.50038i) q^{77} +(-0.357685 + 0.105026i) q^{78} +(-1.57296 - 1.81530i) q^{79} +(4.66921 - 3.00072i) q^{80} +(5.87915 - 3.77830i) q^{81} +(-0.502780 - 0.580239i) q^{82} +(-2.83737 + 0.833126i) q^{83} +(-0.337360 + 2.34639i) q^{84} +(6.22052 - 7.17887i) q^{85} +(0.126615 - 0.277248i) q^{86} +(-2.88847 - 0.848131i) q^{87} +(1.30680 + 2.86149i) q^{88} +(-1.75911 - 12.2349i) q^{89} +(-0.834139 - 0.536069i) q^{90} -8.38151 q^{91} -2.27092 q^{93} +(0.679855 + 0.436916i) q^{94} +(0.911214 + 6.33764i) q^{95} +(0.543638 + 1.19040i) q^{96} +(10.1865 + 2.99101i) q^{97} +(-0.0507751 + 0.111182i) q^{98} +(-6.11958 + 7.06237i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 10 q - 7 q^{2} + 4 q^{3} - 3 q^{4} - 3 q^{5} - 5 q^{6} + 6 q^{7} + 4 q^{8} + 9 q^{9} - 10 q^{10} - 4 q^{11} + 23 q^{12} + 8 q^{13} - 2 q^{14} - 10 q^{15} - 21 q^{16} + q^{17} + 8 q^{18} - 20 q^{19} + 24 q^{20}+ \cdots + 3 q^{99}+O(q^{100}) \) 10 * q - 7 * q^2 + 4 * q^3 - 3 * q^4 - 3 * q^5 - 5 * q^6 + 6 * q^7 + 4 * q^8 + 9 * q^9 - 10 * q^10 - 4 * q^11 + 23 * q^12 + 8 * q^13 - 2 * q^14 - 10 * q^15 - 21 * q^16 + q^17 + 8 * q^18 - 20 * q^19 + 24 * q^20 - 2 * q^21 - 6 * q^22 - 38 * q^24 - 4 * q^25 + q^26 + 7 * q^27 + 7 * q^28 + 14 * q^29 + 7 * q^30 - q^31 - q^32 + 5 * q^33 + 18 * q^34 - 26 * q^35 + 5 * q^36 - 8 * q^37 + 14 * q^38 + 12 * q^39 - 32 * q^40 + 7 * q^41 + 30 * q^42 + 10 * q^44 - 6 * q^45 - 18 * q^47 - 4 * q^48 + 15 * q^49 - 39 * q^50 - 15 * q^51 - 9 * q^52 - 4 * q^53 - 28 * q^54 - q^55 - 13 * q^56 - 52 * q^57 - 23 * q^58 + q^59 - 8 * q^60 + 14 * q^61 + 15 * q^62 - 10 * q^63 + 2 * q^64 + 24 * q^65 - 42 * q^66 - 32 * q^67 - 30 * q^68 + 38 * q^70 + 19 * q^71 - 14 * q^72 + 19 * q^73 - 34 * q^74 + 16 * q^75 - 16 * q^76 + 2 * q^77 - 4 * q^78 + 40 * q^79 + 3 * q^80 + 33 * q^81 - 17 * q^82 - 4 * q^83 - 17 * q^84 + 3 * q^85 + 22 * q^86 - q^87 - 50 * q^88 + 14 * q^89 + 13 * q^90 - 4 * q^91 + 4 * q^93 + 17 * q^94 - 38 * q^95 + 37 * q^96 + 43 * q^97 - 5 * q^98 + 3 * q^99

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