LMFDB - Embedded newform 529.2.c.d.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 = [10,4,-7,8,-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.d.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+(0.402869 + 0.258908i) q^{2} +(-0.313607 - 2.18119i) q^{3} +(-0.735560 - 1.61065i) q^{4} +(2.48926 + 0.730913i) q^{5} +(0.438384 - 0.959928i) q^{6} +(2.22514 - 2.56794i) q^{7} +(0.256983 - 1.78736i) q^{8} +(-1.78074 + 0.522874i) q^{9} +(0.813607 + 0.938953i) q^{10} +(0.192401 - 0.123649i) q^{11} +(-3.28245 + 2.10951i) q^{12} +(2.00357 + 2.31224i) q^{13} +(1.56130 - 0.458439i) q^{14} +(0.813607 - 5.65876i) q^{15} +(-1.75278 + 2.02282i) q^{16} +(-0.800404 + 1.75264i) q^{17} +(-0.852783 - 0.250400i) q^{18} +(0.803526 + 1.75948i) q^{19} +(-0.653755 - 4.54696i) q^{20} +(-6.29898 - 4.04811i) q^{21} +0.109526 q^{22} -3.97915 q^{24} +(1.45592 + 0.935664i) q^{25} +(0.208518 + 1.45027i) q^{26} +(-1.04731 - 2.29328i) q^{27} +(-5.77279 - 1.69504i) q^{28} +(-2.68886 + 5.88778i) q^{29} +(1.79288 - 2.06909i) q^{30} +(-0.214354 + 1.49086i) q^{31} +(-4.69505 + 1.37859i) q^{32} +(-0.330039 - 0.380885i) q^{33} +(-0.776231 + 0.498853i) q^{34} +(7.41589 - 4.76590i) q^{35} +(2.15201 + 2.48355i) q^{36} +(6.47580 - 1.90147i) q^{37} +(-0.131827 + 0.916879i) q^{38} +(4.41510 - 5.09530i) q^{39} +(1.94610 - 4.26137i) q^{40} +(-7.73992 - 2.27265i) q^{41} +(-1.48958 - 3.26172i) q^{42} +(-0.378479 - 2.63238i) q^{43} +(-0.340677 - 0.218940i) q^{44} -4.81491 q^{45} -1.43889 q^{47} +(4.96183 + 3.18877i) q^{48} +(-0.646902 - 4.49930i) q^{49} +(0.344295 + 0.753900i) q^{50} +(4.07385 + 1.19619i) q^{51} +(2.25047 - 4.92785i) q^{52} +(-5.61926 + 6.48497i) q^{53} +(0.171822 - 1.19505i) q^{54} +(0.569313 - 0.167165i) q^{55} +(-4.01801 - 4.63704i) q^{56} +(3.58576 - 2.30442i) q^{57} +(-2.60765 + 1.67584i) q^{58} +(-0.0404373 - 0.0466671i) q^{59} +(-9.71275 + 2.85192i) q^{60} +(0.00632292 - 0.0439769i) q^{61} +(-0.472354 + 0.545125i) q^{62} +(-2.61969 + 5.73632i) q^{63} +(2.88789 + 0.847960i) q^{64} +(3.29736 + 7.22022i) q^{65} +(-0.0343481 - 0.238897i) q^{66} +(10.4382 + 6.70824i) q^{67} +3.41164 q^{68} +4.22157 q^{70} +(-7.01302 - 4.50700i) q^{71} +(0.476941 + 3.31720i) q^{72} +(-0.277590 - 0.607837i) q^{73} +(3.10120 + 0.910596i) q^{74} +(1.58427 - 3.46907i) q^{75} +(2.24286 - 2.58840i) q^{76} +(0.110596 - 0.769210i) q^{77} +(3.09792 - 0.909632i) q^{78} +(7.83807 + 9.04561i) q^{79} +(-5.84164 + 3.75419i) q^{80} +(-9.35753 + 6.01372i) q^{81} +(-2.52977 - 2.91951i) q^{82} +(0.345930 - 0.101574i) q^{83} +(-1.88682 + 13.1231i) q^{84} +(-3.27344 + 3.77775i) q^{85} +(0.529067 - 1.15850i) q^{86} +(13.6856 + 4.01845i) q^{87} +(-0.171560 - 0.375665i) q^{88} +(2.29409 + 15.9557i) q^{89} +(-1.93978 - 1.24662i) q^{90} +10.3959 q^{91} +3.31908 q^{93} +(-0.579683 - 0.372540i) q^{94} +(0.714162 + 4.96711i) q^{95} +(4.47937 + 9.80845i) q^{96} +(0.382418 + 0.112288i) q^{97} +(0.904290 - 1.98012i) q^{98} +(-0.277964 + 0.320788i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 10 q + 4 q^{2} - 7 q^{3} + 8 q^{4} - 3 q^{5} - 5 q^{6} + 6 q^{7} + 15 q^{8} - 2 q^{9} + 12 q^{10} + 7 q^{11} - 10 q^{12} + 8 q^{13} - 2 q^{14} + 12 q^{15} + 12 q^{16} + q^{17} - 3 q^{18} + 2 q^{19} + 2 q^{20}+ \cdots + 25 q^{99}+O(q^{100}) $ 10 * q + 4 * q^2 - 7 * q^3 + 8 * q^4 - 3 * q^5 - 5 * q^6 + 6 * q^7 + 15 * q^8 - 2 * q^9 + 12 * q^10 + 7 * q^11 - 10 * q^12 + 8 * q^13 - 2 * q^14 + 12 * q^15 + 12 * q^16 + q^17 - 3 * q^18 + 2 * q^19 + 2 * q^20 - 24 * q^21 - 6 * q^22 - 38 * q^24 + 18 * q^25 - 10 * q^26 - 4 * q^27 - 26 * q^28 - 8 * q^29 - 4 * q^30 - 12 * q^31 - 23 * q^32 - 17 * q^33 - 26 * q^34 + 18 * q^35 - 6 * q^36 + 25 * q^37 - 52 * q^38 + 12 * q^39 + 12 * q^40 - 26 * q^41 - 14 * q^42 + 22 * q^43 + 32 * q^44 - 6 * q^45 - 18 * q^47 - 15 * q^48 + 15 * q^49 + 5 * q^50 + 18 * q^51 + 13 * q^52 - 48 * q^53 - 17 * q^54 + 32 * q^55 - 2 * q^56 - 8 * q^57 - q^58 + q^59 - 8 * q^60 + 36 * q^61 - 18 * q^62 - 21 * q^63 + 13 * q^64 + 13 * q^65 + 2 * q^66 - 10 * q^67 - 30 * q^68 + 38 * q^70 - 14 * q^71 - 3 * q^72 - 3 * q^73 + 32 * q^74 - 6 * q^75 + 50 * q^76 + 13 * q^77 + 7 * q^78 + 18 * q^79 + 14 * q^80 + 11 * q^81 - 6 * q^82 - 15 * q^83 + 16 * q^84 - 19 * q^85 + 22 * q^86 + 10 * q^87 + 16 * q^88 - 19 * q^89 + 24 * q^90 - 4 * q^91 + 4 * q^93 - 5 * q^94 + 28 * q^95 - 7 * q^96 + 21 * q^97 + 39 * q^98 + 25 * 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 $

$2$	0.402869	+	0.258908i	0.284871	+	0.183076i	0.675271	−	0.737570i	$-0.264027\pi$
$2$	0.402869	+	0.258908i	0.284871	+	0.183076i	−0.390399	+	0.920646i	$0.627663\pi$
$3$	−0.313607	−	2.18119i	−0.181061	−	1.25931i	−0.854260	−	0.519846i	$-0.825989\pi$
$3$	−0.313607	−	2.18119i	−0.181061	−	1.25931i	0.673198	−	0.739462i	$-0.264920\pi$
$4$	−0.735560	−	1.61065i	−0.367780	−	0.805326i
$5$	2.48926	+	0.730913i	1.11323	+	0.326874i	0.786097	−	0.618103i	$-0.212099\pi$
$5$	2.48926	+	0.730913i	1.11323	+	0.326874i	0.327135	+	0.944978i	$0.393917\pi$
$6$	0.438384	−	0.959928i	0.178970	−	0.391889i
$7$	2.22514	−	2.56794i	0.841023	−	0.970592i	−0.158838	−	0.987305i	$-0.550775\pi$
$7$	2.22514	−	2.56794i	0.841023	−	0.970592i	0.999860	+	0.0167129i	$0.00532014\pi$
$8$	0.256983	−	1.78736i	0.0908573	−	0.631927i
$9$	−1.78074	+	0.522874i	−0.593581	+	0.174291i
$10$	0.813607	+	0.938953i	0.257285	+	0.296923i
$11$	0.192401	−	0.123649i	0.0580111	−	0.0372814i	−0.511314	−	0.859394i	$-0.670841\pi$
$11$	0.192401	−	0.123649i	0.0580111	−	0.0372814i	0.569325	+	0.822113i	$0.307205\pi$
$12$	−3.28245	+	2.10951i	−0.947563	+	0.608962i
$13$	2.00357	+	2.31224i	0.555691	+	0.641301i	0.962199	−	0.272346i	$-0.0877994\pi$
$13$	2.00357	+	2.31224i	0.555691	+	0.641301i	−0.406509	+	0.913647i	$0.633254\pi$
$14$	1.56130	−	0.458439i	0.417275	−	0.122523i
$15$	0.813607	−	5.65876i	0.210072	−	1.46109i
$16$	−1.75278	+	2.02282i	−0.438196	+	0.505705i
$17$	−0.800404	+	1.75264i	−0.194126	+	0.425078i	−0.981517	−	0.191377i	$-0.938705\pi$
$17$	−0.800404	+	1.75264i	−0.194126	+	0.425078i	0.787390	+	0.616455i	$0.211432\pi$
$18$	−0.852783	−	0.250400i	−0.201003	−	0.0590198i
$19$	0.803526	+	1.75948i	0.184342	+	0.403652i	0.979130	−	0.203235i	$-0.0651455\pi$
$19$	0.803526	+	1.75948i	0.184342	+	0.403652i	−0.794788	+	0.606887i	$0.792418\pi$
$20$	−0.653755	−	4.54696i	−0.146184	−	1.01673i
$21$	−6.29898	−	4.04811i	−1.37455	−	0.883370i
$22$	0.109526			0.0233510
$23$		0			0
$23$		0			0
$24$	−3.97915			−0.812241
$25$	1.45592	+	0.935664i	0.291184	+	0.187133i
$26$	0.208518	+	1.45027i	0.0408937	+	0.284422i
$27$	−1.04731	−	2.29328i	−0.201554	−	0.441342i
$28$	−5.77279	−	1.69504i	−1.09095	−	0.320333i
$29$	−2.68886	+	5.88778i	−0.499308	+	1.09333i	0.477385	+	0.878694i	$0.341585\pi$
$29$	−2.68886	+	5.88778i	−0.499308	+	1.09333i	−0.976694	+	0.214639i	$0.931143\pi$
$30$	1.79288	−	2.06909i	0.327333	−	0.377763i
$31$	−0.214354	+	1.49086i	−0.0384991	+	0.267767i	−0.999975	−	0.00712341i	$-0.997733\pi$
$31$	−0.214354	+	1.49086i	−0.0384991	+	0.267767i	0.961476	+	0.274891i	$0.0886416\pi$
$32$	−4.69505	+	1.37859i	−0.829976	+	0.243703i
$33$	−0.330039	−	0.380885i	−0.0574524	−	0.0663036i
$34$	−0.776231	+	0.498853i	−0.133123	+	0.0855527i
$35$	7.41589	−	4.76590i	1.25351	−	0.805585i
$36$	2.15201	+	2.48355i	0.358669	+	0.413926i
$37$	6.47580	−	1.90147i	1.06461	−	0.312599i	0.297907	−	0.954595i	$-0.403712\pi$
$37$	6.47580	−	1.90147i	1.06461	−	0.312599i	0.766708	+	0.641996i	$0.221893\pi$
$38$	−0.131827	+	0.916879i	−0.0213852	+	0.148737i
$39$	4.41510	−	5.09530i	0.706982	−	0.815901i
$40$	1.94610	−	4.26137i	0.307706	−	0.673782i
$41$	−7.73992	−	2.27265i	−1.20877	−	0.354928i	−0.385572	−	0.922678i	$-0.625996\pi$
$41$	−7.73992	−	2.27265i	−1.20877	−	0.354928i	−0.823201	+	0.567750i	$0.807814\pi$
$42$	−1.48958	−	3.26172i	−0.229847	−	0.503294i
$43$	−0.378479	−	2.63238i	−0.0577175	−	0.401434i	−0.998116	−	0.0613589i	$-0.980457\pi$
$43$	−0.378479	−	2.63238i	−0.0577175	−	0.401434i	0.940398	−	0.340075i	$-0.110453\pi$
$44$	−0.340677	−	0.218940i	−0.0513590	−	0.0330064i
$45$	−4.81491			−0.717765
$46$		0			0
$47$	−1.43889			−0.209883			−0.104942	−	0.994478i	$-0.533466\pi$
$47$	−1.43889			−0.209883			−0.104942	+	0.994478i	$0.533466\pi$
$48$	4.96183	+	3.18877i	0.716179	+	0.460260i
$49$	−0.646902	−	4.49930i	−0.0924146	−	0.642758i
$50$	0.344295	+	0.753900i	0.0486906	+	0.106618i
$51$	4.07385	+	1.19619i	0.570453	+	0.167500i
$52$	2.25047	−	4.92785i	0.312084	−	0.683370i
$53$	−5.61926	+	6.48497i	−0.771864	+	0.890779i	−0.996494	−	0.0836655i	$-0.973337\pi$
$53$	−5.61926	+	6.48497i	−0.771864	+	0.890779i	0.224630	+	0.974444i	$0.427883\pi$
$54$	0.171822	−	1.19505i	0.0233820	−	0.162625i
$55$	0.569313	−	0.167165i	0.0767661	−	0.0225406i
$56$	−4.01801	−	4.63704i	−0.536930	−	0.619650i
$57$	3.58576	−	2.30442i	0.474945	−	0.305229i
$58$	−2.60765	+	1.67584i	−0.342401	+	0.220048i
$59$	−0.0404373	−	0.0466671i	−0.00526449	−	0.00607554i	0.753111	−	0.657893i	$-0.228552\pi$
$59$	−0.0404373	−	0.0466671i	−0.00526449	−	0.00607554i	−0.758376	+	0.651818i	$0.774007\pi$
$60$	−9.71275	+	2.85192i	−1.25391	+	0.368181i
$61$	0.00632292	−	0.0439769i	0.000809567	−	0.00563066i	−0.989413	−	0.145130i	$-0.953640\pi$
$61$	0.00632292	−	0.0439769i	0.000809567	−	0.00563066i	0.990222	+	0.139499i	$0.0445492\pi$
$62$	−0.472354	+	0.545125i	−0.0599890	+	0.0692310i
$63$	−2.61969	+	5.73632i	−0.330050	+	0.722708i
$64$	2.88789	+	0.847960i	0.360986	+	0.105995i
$65$	3.29736	+	7.22022i	0.408988	+	0.895558i
$66$	−0.0343481	−	0.238897i	−0.00422796	−	0.0294061i
$67$	10.4382	+	6.70824i	1.27523	+	0.819542i	0.990292	−	0.139003i	$-0.0443897\pi$
$67$	10.4382	+	6.70824i	1.27523	+	0.819542i	0.284941	+	0.958545i	$0.408026\pi$
$68$	3.41164			0.413722
$69$		0			0
$70$	4.22157			0.504574
$71$	−7.01302	−	4.50700i	−0.832293	−	0.534882i	0.0537130	−	0.998556i	$-0.482894\pi$
$71$	−7.01302	−	4.50700i	−0.832293	−	0.534882i	−0.886006	+	0.463674i	$0.846531\pi$
$72$	0.476941	+	3.31720i	0.0562080	+	0.390935i
$73$	−0.277590	−	0.607837i	−0.0324895	−	0.0711420i	0.892692	−	0.450668i	$-0.148814\pi$
$73$	−0.277590	−	0.607837i	−0.0324895	−	0.0711420i	−0.925181	+	0.379526i	$0.876087\pi$
$74$	3.10120	+	0.910596i	0.360508	+	0.105855i
$75$	1.58427	−	3.46907i	0.182936	−	0.400573i
$76$	2.24286	−	2.58840i	0.257274	−	0.296910i
$77$	0.110596	−	0.769210i	0.0126035	−	0.0876596i
$78$	3.09792	−	0.909632i	0.350771	−	0.102996i
$79$	7.83807	+	9.04561i	0.881852	+	1.01771i	0.999695	+	0.0246790i	$0.00785636\pi$
$79$	7.83807	+	9.04561i	0.881852	+	1.01771i	−0.117844	+	0.993032i	$0.537598\pi$
$80$	−5.84164	+	3.75419i	−0.653115	+	0.419732i
$81$	−9.35753	+	6.01372i	−1.03973	+	0.668191i
$82$	−2.52977	−	2.91951i	−0.279366	−	0.322406i
$83$	0.345930	−	0.101574i	0.0379708	−	0.0111492i	−0.262692	−	0.964880i	$-0.584610\pi$
$83$	0.345930	−	0.101574i	0.0379708	−	0.0111492i	0.300663	+	0.953731i	$0.402792\pi$
$84$	−1.88682	+	13.1231i	−0.205869	+	1.43185i
$85$	−3.27344	+	3.77775i	−0.355055	+	0.409755i
$86$	0.529067	−	1.15850i	0.0570508	−	0.124924i
$87$	13.6856	+	4.01845i	1.46725	+	0.430823i
$88$	−0.171560	−	0.375665i	−0.0182884	−	0.0400460i
$89$	2.29409	+	15.9557i	0.243173	+	1.69130i	0.635999	+	0.771690i	$0.280588\pi$
$89$	2.29409	+	15.9557i	0.243173	+	1.69130i	−0.392826	+	0.919613i	$0.628503\pi$
$90$	−1.93978	−	1.24662i	−0.204471	−	0.131405i
$91$	10.3959			1.08979
$92$		0			0
$93$	3.31908			0.344172
$94$	−0.579683	−	0.372540i	−0.0597897	−	0.0384245i
$95$	0.714162	+	4.96711i	0.0732715	+	0.509614i
$96$	4.47937	+	9.80845i	0.457174	+	1.00107i
$97$	0.382418	+	0.112288i	0.0388287	+	0.0114011i	0.301089	−	0.953596i	$-0.402650\pi$
$97$	0.382418	+	0.112288i	0.0388287	+	0.0114011i	−0.262261	+	0.964997i	$0.584468\pi$
$98$	0.904290	−	1.98012i	0.0913471	−	0.200022i
$99$	−0.277964	+	0.320788i	−0.0279365	+	0.0322404i
$100$	0.436111	−	3.03322i	0.0436111	−	0.303322i
$101$	18.6952	−	5.48941i	1.86024	−	0.546216i	0.860947	−	0.508695i	$-0.169872\pi$
$101$	18.6952	−	5.48941i	1.86024	−	0.546216i	0.999296	−	0.0375212i	$-0.0119462\pi$
$102$	1.33152	+	1.53666i	0.131840	+	0.152152i
$103$	5.48883	−	3.52746i	0.540830	−	0.347571i	−0.241533	−	0.970393i	$-0.577650\pi$
$103$	5.48883	−	3.52746i	0.540830	−	0.347571i	0.782364	+	0.622822i	$0.214014\pi$
$104$	4.64769	−	2.98689i	0.455744	−	0.292889i
$105$	−12.7210	−	14.6808i	−1.24144	−	1.43270i
$106$	−3.94284	+	1.15772i	−0.382962	+	0.112448i
$107$	0.184025	−	1.27992i	0.0177904	−	0.123735i	−0.978991	−	0.203904i	$-0.934637\pi$
$107$	0.184025	−	1.27992i	0.0177904	−	0.123735i	0.996781	+	0.0801691i	$0.0255460\pi$
$108$	−2.92332	+	3.37369i	−0.281297	+	0.324634i
$109$	2.94199	−	6.44205i	0.281791	−	0.617037i	−0.714819	−	0.699310i	$-0.753491\pi$
$109$	2.94199	−	6.44205i	0.281791	−	0.617037i	0.996610	+	0.0822732i	$0.0262180\pi$
$110$	0.272639	+	0.0800540i	0.0259951	+	0.00763285i
$111$	−6.17831	−	13.5286i	−0.586419	−	1.28408i
$112$	1.29431	+	9.00210i	0.122300	+	0.850618i
$113$	1.13732	+	0.730913i	0.106990	+	0.0687585i	0.593042	−	0.805172i	$-0.297927\pi$
$113$	1.13732	+	0.730913i	0.106990	+	0.0687585i	−0.486051	+	0.873930i	$0.661563\pi$
$114$	2.04122			0.191178
$115$		0			0
$116$	11.4610			1.06412
$117$	−4.77686	−	3.06990i	−0.441621	−	0.283812i
$118$	−0.00420843	−	0.0292703i	−0.000387417	−	0.00269455i
$119$	2.71967	+	5.95526i	0.249312	+	0.545917i
$120$	−9.90515	−	2.90842i	−0.904213	−	0.265501i
$121$	−4.54784	+	9.95837i	−0.413440	+	0.905307i
$122$	0.0139333	−	0.0160799i	0.00126146	−	0.00145580i
$123$	−2.52977	+	17.5949i	−0.228102	+	1.58648i
$124$	2.55893	−	0.751371i	0.229799	−	0.0674751i
$125$	−5.55441	−	6.41013i	−0.496802	−	0.573340i
$126$	−2.54057	+	1.63273i	−0.226332	+	0.145455i
$127$	8.21319	−	5.27830i	0.728803	−	0.468373i	−0.122886	−	0.992421i	$-0.539215\pi$
$127$	8.21319	−	5.27830i	0.728803	−	0.468373i	0.851689	+	0.524048i	$0.175579\pi$
$128$	7.35271	+	8.48548i	0.649894	+	0.750018i
$129$	−5.62301	+	1.65107i	−0.495079	+	0.145368i
$130$	−0.540968	+	3.76252i	−0.0474461	+	0.329995i
$131$	3.29049	−	3.79743i	0.287491	−	0.331783i	−0.593572	−	0.804781i	$-0.702283\pi$
$131$	3.29049	−	3.79743i	0.287491	−	0.331783i	0.881063	+	0.472998i	$0.156828\pi$
$132$	−0.370710	+	0.811741i	−0.0322662	+	0.0706530i
$133$	6.30619	+	1.85167i	0.546816	+	0.160560i
$134$	2.46842	+	5.40509i	0.213239	+	0.466929i
$135$	−0.930830	−	6.47407i	−0.0801131	−	0.557199i
$136$	2.92691	+	1.88101i	0.250980	+	0.161295i
$137$	−11.6182			−0.992608			−0.496304	−	0.868149i	$-0.665310\pi$
$137$	−11.6182			−0.992608			−0.496304	+	0.868149i	$0.665310\pi$
$138$		0			0
$139$	−17.3118			−1.46837			−0.734183	−	0.678952i	$-0.762435\pi$
$139$	−17.3118			−1.46837			−0.734183	+	0.678952i	$0.762435\pi$
$140$	−13.1310	−	8.43881i	−1.10978	−	0.713210i
$141$	0.451245	+	3.13848i	0.0380017	+	0.264308i
$142$	−1.65843	−	3.63146i	−0.139172	−	0.304745i
$143$	0.671395	+	0.197139i	0.0561448	+	0.0164856i
$144$	2.06358	−	4.51861i	0.171965	−	0.376551i
$145$	−10.9967	+	12.6909i	−0.913228	+	1.05392i
$146$	0.0455417	−	0.316749i	0.00376905	−	0.0262144i
$147$	−9.61094	+	2.82203i	−0.792697	+	0.232757i
$148$	−7.82594	−	9.03161i	−0.643288	−	0.742394i
$149$	−6.16716	+	3.96339i	−0.505233	+	0.324694i	−0.768306	−	0.640082i	$-0.778900\pi$
$149$	−6.16716	+	3.96339i	−0.505233	+	0.324694i	0.263073	+	0.964776i	$0.415264\pi$
$150$	1.53642	−	0.987400i	0.125448	−	0.0806208i
$151$	−11.2018	−	12.9275i	−0.911587	−	1.05203i	−0.998442	−	0.0558060i	$-0.982227\pi$
$151$	−11.2018	−	12.9275i	−0.911587	−	1.05203i	0.0868551	−	0.996221i	$-0.472318\pi$
$152$	3.35131	−	0.984033i	0.271827	−	0.0798156i
$153$	0.508905	−	3.53951i	0.0411425	−	0.286153i
$154$	0.243710	−	0.281257i	0.0196387	−	0.0226643i
$155$	−1.62328	+	3.55448i	−0.130385	+	0.285502i
$156$	−11.4543	−	3.36329i	−0.917080	−	0.269279i
$157$	−7.47860	−	16.3759i	−0.596858	−	1.30694i	−0.931208	−	0.364487i	$-0.881244\pi$
$157$	−7.47860	−	16.3759i	−0.596858	−	1.30694i	0.334351	−	0.942449i	$-0.391483\pi$
$158$	0.815732	+	5.67354i	0.0648961	+	0.451363i
$159$	15.9072	+	10.2229i	1.26152	+	0.810729i
$160$	−12.6948			−1.00362
$161$		0			0
$162$	−5.32686			−0.418518
$163$	12.5391	+	8.05836i	0.982135	+	0.631180i	0.930038	−	0.367462i	$-0.119773\pi$
$163$	12.5391	+	8.05836i	0.982135	+	0.631180i	0.0520963	+	0.998642i	$0.483410\pi$
$164$	2.03274	+	14.1380i	0.158730	+	1.10399i
$165$	−0.543159	−	1.18935i	−0.0422849	−	0.0925910i
$166$	0.165663	+	0.0486431i	0.0128580	+	0.00377544i
$167$	3.17363	−	6.94928i	0.245583	−	0.537751i	−0.746194	−	0.665728i	$-0.768121\pi$
$167$	3.17363	−	6.94928i	0.245583	−	0.537751i	0.991777	+	0.127977i	$0.0408483\pi$
$168$	−8.85416	+	10.2182i	−0.683113	+	0.788355i
$169$	0.517917	−	3.60219i	0.0398397	−	0.277091i
$170$	−2.29686	+	0.674419i	−0.176161	+	0.0517256i
$171$	−2.35086	−	2.71304i	−0.179775	−	0.207471i
$172$	−3.96145	+	2.54587i	−0.302058	+	0.194121i
$173$	5.03407	−	3.23520i	0.382733	−	0.245968i	−0.335100	−	0.942182i	$-0.608770\pi$
$173$	5.03407	−	3.23520i	0.382733	−	0.245968i	0.717833	+	0.696215i	$0.245134\pi$
$174$	4.47309	+	5.16222i	0.339104	+	0.391347i
$175$	5.64236	−	1.65675i	0.426522	−	0.125238i
$176$	−0.0871183	+	0.605921i	−0.00656679	+	0.0456730i
$177$	−0.0891082	+	0.102836i	−0.00669778	+	0.00772965i
$178$	−3.20685	+	7.02202i	−0.240364	+	0.526323i
$179$	−3.44615	−	1.01188i	−0.257577	−	0.0756315i	0.150395	−	0.988626i	$-0.451946\pi$
$179$	−3.44615	−	1.01188i	−0.257577	−	0.0756315i	−0.407972	+	0.912995i	$0.633764\pi$
$180$	3.54166	+	7.75515i	0.263980	+	0.578035i
$181$	−2.71480	−	18.8818i	−0.201789	−	1.40347i	−0.798972	−	0.601369i	$-0.794622\pi$
$181$	−2.71480	−	18.8818i	−0.201789	−	1.40347i	0.597182	−	0.802105i	$-0.296287\pi$
$182$	4.18820	+	2.69159i	0.310450	+	0.199514i
$183$	−0.0979047			−0.00723732
$184$		0			0
$185$	17.5098			1.28734
$186$	1.33715	+	0.859336i	0.0980448	+	0.0630096i
$187$	0.0627130	+	0.436178i	0.00458603	+	0.0318965i
$188$	1.05839	+	2.31754i	0.0771908	+	0.169024i
$189$	−8.21942	−	2.41344i	−0.597875	−	0.175552i
$190$	−0.998311	+	2.18600i	−0.0724251	+	0.158589i
$191$	8.57191	−	9.89251i	0.620241	−	0.715797i	−0.355511	−	0.934672i	$-0.615693\pi$
$191$	8.57191	−	9.89251i	0.620241	−	0.715797i	0.975753	+	0.218875i	$0.0702387\pi$
$192$	0.943896	−	6.56494i	0.0681198	−	0.473784i
$193$	−9.00358	+	2.64369i	−0.648092	+	0.190297i	−0.589225	−	0.807969i	$-0.700567\pi$
$193$	−9.00358	+	2.64369i	−0.648092	+	0.190297i	−0.0588666	+	0.998266i	$0.518749\pi$
$194$	0.124992	+	0.144249i	0.00897391	+	0.0103564i
$195$	14.7146	−	9.45647i	1.05373	−	0.677192i
$196$	−6.77098	+	4.35144i	−0.483641	+	0.310817i
$197$	6.78624	+	7.83174i	0.483500	+	0.557988i	0.944117	−	0.329611i	$-0.106917\pi$
$197$	6.78624	+	7.83174i	0.483500	+	0.557988i	−0.460617	+	0.887599i	$0.652372\pi$
$198$	−0.195038	+	0.0572683i	−0.0138607	+	0.00406988i
$199$	−1.45966	+	10.1522i	−0.103473	+	0.719670i	0.870362	+	0.492413i	$0.163885\pi$
$199$	−1.45966	+	10.1522i	−0.103473	+	0.719670i	−0.973835	+	0.227257i	$0.927024\pi$
$200$	2.04652	−	2.36180i	0.144710	−	0.167005i
$201$	11.3584	−	24.8715i	0.801161	−	1.75430i
$202$	8.95297	+	2.62883i	0.629929	+	0.184964i
$203$	9.13641	+	20.0059i	0.641250	+	1.40414i
$204$	−1.06991	−	7.44142i	−0.0749090	−	0.521003i
$205$	−17.6056	−	11.3144i	−1.22963	−	0.790234i
$206$	3.12457			0.217699
$207$		0			0
$208$	−8.18908			−0.567810
$209$	0.372156	+	0.239170i	0.0257426	+	0.0165437i
$210$	−1.32391	−	9.20802i	−0.0913587	−	0.635414i
$211$	−3.43579	−	7.52333i	−0.236530	−	0.517928i	0.753726	−	0.657189i	$-0.228255\pi$
$211$	−3.43579	−	7.52333i	−0.236530	−	0.517928i	−0.990256	+	0.139261i	$0.955527\pi$
$212$	14.5783	+	4.28058i	1.00124	+	0.293992i
$213$	−7.63126	+	16.7101i	−0.522885	+	1.14496i
$214$	0.405521	−	0.467996i	0.0277209	−	0.0319916i
$215$	0.981907	−	6.82931i	0.0669655	−	0.465755i
$216$	−4.36806	+	1.28258i	−0.297209	+	0.0872683i
$217$	3.35149	+	3.86783i	0.227514	+	0.262565i
$218$	2.85314	−	1.83360i	0.193239	−	0.124187i
$219$	−1.23875	+	0.796098i	−0.0837071	+	0.0537953i
$220$	−0.688009	−	0.794004i	−0.0463855	−	0.0535318i
$221$	−5.65620	+	1.66081i	−0.380477	+	0.111718i
$222$	1.01362	−	7.04987i	0.0680296	−	0.473156i
$223$	7.06865	−	8.15766i	0.473352	−	0.546277i	−0.467989	−	0.883734i	$-0.655021\pi$
$223$	7.06865	−	8.15766i	0.473352	−	0.546277i	0.941341	+	0.337457i	$0.109567\pi$
$224$	−6.90699	+	15.1242i	−0.461492	+	1.01053i
$225$	−3.08186	−	0.904915i	−0.205457	−	0.0603277i
$226$	0.268953	+	0.588925i	0.0178905	+	0.0391747i
$227$	3.30408	+	22.9804i	0.219299	+	1.52526i	0.740635	+	0.671908i	$0.234525\pi$
$227$	3.30408	+	22.9804i	0.219299	+	1.52526i	−0.521335	+	0.853352i	$0.674566\pi$
$228$	−6.34916	−	4.08036i	−0.420484	−	0.270228i
$229$	14.1883			0.937587			0.468794	−	0.883308i	$-0.344689\pi$
$229$	14.1883			0.937587			0.468794	+	0.883308i	$0.344689\pi$
$230$		0			0
$231$	−1.71247			−0.112672
$232$	9.83258	+	6.31901i	0.645540	+	0.414864i
$233$	−3.50398	−	24.3707i	−0.229553	−	1.59658i	−0.699995	−	0.714148i	$-0.746814\pi$
$233$	−3.50398	−	24.3707i	−0.229553	−	1.59658i	0.470441	−	0.882431i	$-0.344095\pi$
$234$	−1.12963	−	2.47354i	−0.0738460	−	0.161700i
$235$	−3.58176	−	1.05170i	−0.233649	−	0.0686054i
$236$	−0.0454204	+	0.0994568i	−0.00295662	+	0.00647409i
$237$	17.2721	−	19.9331i	1.12194	−	1.29479i
$238$	−0.446192	+	3.10334i	−0.0289223	+	0.201159i
$239$	−0.225362	+	0.0661722i	−0.0145774	+	0.00428032i	−0.289013	−	0.957325i	$-0.593327\pi$
$239$	−0.225362	+	0.0661722i	−0.0145774	+	0.00428032i	0.274436	+	0.961605i	$0.411509\pi$
$240$	10.0206	+	11.5644i	0.646825	+	0.746476i
$241$	4.43149	−	2.84794i	0.285457	−	0.183452i	−0.390074	−	0.920783i	$-0.627551\pi$
$241$	4.43149	−	2.84794i	0.285457	−	0.183452i	0.675531	+	0.737331i	$0.263914\pi$
$242$	−4.41049	+	2.83445i	−0.283517	+	0.182205i
$243$	11.0987	+	12.8086i	0.711982	+	0.821672i
$244$	−0.0754823	+	0.0221636i	−0.00483226	+	0.00141888i
$245$	1.67829	−	11.6728i	0.107222	−	0.745746i
$246$	−5.57464	+	6.43348i	−0.355426	+	0.410183i
$247$	−2.45842	+	5.38319i	−0.156425	+	0.342524i
$248$	2.60962	+	0.766255i	0.165711	+	0.0486572i
$249$	−0.330039	−	0.722684i	−0.0209154	−	0.0457983i
$250$	−0.578065	−	4.02053i	−0.0365600	−	0.254281i
$251$	−24.5542	−	15.7800i	−1.54985	−	0.996026i	−0.985341	−	0.170597i	$-0.945430\pi$
$251$	−24.5542	−	15.7800i	−1.54985	−	0.996026i	−0.564506	−	0.825429i	$-0.690933\pi$
$252$	11.1661			0.703401
$253$		0			0
$254$	4.67544			0.293363
$255$	9.26656	+	5.95526i	0.580294	+	0.372933i
$256$	−0.0914606	−	0.636123i	−0.00571629	−	0.0397577i
$257$	4.69752	+	10.2861i	0.293023	+	0.641632i	0.997692	−	0.0679050i	$-0.0216315\pi$
$257$	4.69752	+	10.2861i	0.293023	+	0.641632i	−0.704668	+	0.709537i	$0.748904\pi$
$258$	−2.69281	−	0.790681i	−0.167647	−	0.0492257i
$259$	9.52667	−	20.8605i	0.591959	−	1.29621i
$260$	9.20385	−	10.6218i	0.570798	−	0.658736i
$261$	1.70960	−	11.8906i	0.105822	−	0.736007i
$262$	2.30882	−	0.677931i	0.142640	−	0.0418827i
$263$	15.7721	+	18.2020i	0.972550	+	1.12238i	0.992459	+	0.122581i	$0.0391171\pi$
$263$	15.7721	+	18.2020i	0.972550	+	1.12238i	−0.0199083	+	0.999802i	$0.506337\pi$
$264$	−0.765593	+	0.492017i	−0.0471190	+	0.0302815i
$265$	−18.7277	+	12.0356i	−1.15044	+	0.739341i
$266$	2.06116	+	2.37870i	0.126378	+	0.145848i
$267$	34.0829	−	10.0077i	2.08584	−	0.612459i
$268$	3.12670	−	21.7467i	0.190994	−	1.32839i
$269$	−4.29818	+	4.96037i	−0.262065	+	0.302439i	−0.871499	−	0.490398i	$-0.836851\pi$
$269$	−4.29818	+	4.96037i	−0.262065	+	0.302439i	0.609434	+	0.792837i	$0.291397\pi$
$270$	1.30119	−	2.84920i	0.0791877	−	0.173397i
$271$	−19.2220	−	5.64408i	−1.16765	−	0.342853i	−0.360250	−	0.932856i	$-0.617309\pi$
$271$	−19.2220	−	5.64408i	−1.16765	−	0.342853i	−0.807402	+	0.590002i	$0.799127\pi$
$272$	−2.14234	−	4.69107i	−0.129898	−	0.284438i
$273$	−3.26024	−	22.6755i	−0.197319	−	1.37238i
$274$	−4.68061	−	3.00804i	−0.282766	−	0.181723i
$275$	0.395814			0.0238685
$276$		0			0
$277$	−7.60036			−0.456661			−0.228331	−	0.973584i	$-0.573327\pi$
$277$	−7.60036			−0.456661			−0.228331	+	0.973584i	$0.573327\pi$
$278$	−6.97438	−	4.48216i	−0.418296	−	0.268822i
$279$	−0.397824	−	2.76693i	−0.0238171	−	0.165652i
$280$	−6.61262	−	14.4796i	−0.395180	−	0.865322i
$281$	30.8246	+	9.05091i	1.83884	+	0.539932i	0.999990	−	0.00443068i	$-0.00141033\pi$
$281$	30.8246	+	9.05091i	1.83884	+	0.539932i	0.838850	+	0.544363i	$0.183229\pi$
$282$	−0.630785	+	1.38123i	−0.0375627	+	0.0822509i
$283$	3.95497	−	4.56428i	0.235099	−	0.271318i	−0.625925	−	0.779883i	$-0.715278\pi$
$283$	3.95497	−	4.56428i	0.235099	−	0.271318i	0.861024	+	0.508565i	$0.169824\pi$
$284$	−2.10070	+	14.6107i	−0.124654	+	0.866986i
$285$	10.6102	−	3.11544i	0.628495	−	0.184543i
$286$	0.219443	+	0.253251i	0.0129759	+	0.0149750i
$287$	−23.0584	+	14.8187i	−1.36110	+	0.874723i
$288$	7.63986	−	4.90984i	0.450183	−	0.289315i
$289$	8.70153	+	10.0421i	0.511855	+	0.590712i
$290$	−7.71602	+	2.26563i	−0.453100	+	0.133042i
$291$	0.124992	−	0.869339i	0.00732716	−	0.0509616i
$292$	−0.774830	+	0.894202i	−0.0453435	+	0.0523292i
$293$	−12.1538	+	26.6131i	−0.710032	+	1.55475i	0.117336	+	0.993092i	$0.462564\pi$
$293$	−12.1538	+	26.6131i	−0.710032	+	1.55475i	−0.827368	+	0.561660i	$0.810163\pi$
$294$	−4.60260	−	1.35145i	−0.268429	−	0.0788179i
$295$	−0.0665494	−	0.145723i	−0.00387465	−	0.00848431i
$296$	−1.73443	−	12.0632i	−0.100812	−	0.701160i
$297$	−0.485064	−	0.311731i	−0.0281462	−	0.0180885i
$298$	−3.51071			−0.203370
$299$		0			0
$300$	−6.75279			−0.389872
$301$	−7.60197	−	4.88549i	−0.438170	−	0.281595i
$302$	−1.16580	−	8.10833i	−0.0670843	−	0.466582i
$303$	−17.8364	−	39.0562i	−1.02467	−	2.24372i
$304$	−4.96751	−	1.45859i	−0.284906	−	0.0836560i
$305$	0.0478827	−	0.104848i	0.00274175	−	0.00600361i
$306$	1.12143	−	1.29420i	0.0641080	−	0.0739845i
$307$	1.21975	−	8.48357i	0.0696150	−	0.484183i	−0.924952	−	0.380084i	$-0.875895\pi$
$307$	1.21975	−	8.48357i	0.0696150	−	0.484183i	0.994567	−	0.104099i	$-0.0331958\pi$
$308$	−1.32028	+	0.387669i	−0.0752299	+	0.0220895i
$309$	−9.41538	−	10.8659i	−0.535622	−	0.618141i
$310$	−1.57425	+	1.01171i	−0.0894115	+	0.0574613i
$311$	0.177590	−	0.114130i	0.0100702	−	0.00647172i	−0.535596	−	0.844474i	$-0.679913\pi$
$311$	0.177590	−	0.114130i	0.0100702	−	0.00647172i	0.545666	+	0.838003i	$0.316277\pi$
$312$	−7.97252	−	9.20077i	−0.451355	−	0.520891i
$313$	−28.2713	+	8.30121i	−1.59799	+	0.469212i	−0.954986	−	0.296651i	$-0.904130\pi$
$313$	−28.2713	+	8.30121i	−1.59799	+	0.469212i	−0.643004	+	0.765863i	$0.722312\pi$
$314$	1.22695	−	8.53360i	0.0692406	−	0.481579i
$315$	−10.7138	+	12.3644i	−0.603656	+	0.696657i
$316$	8.80396	−	19.2780i	0.495262	−	1.08447i
$317$	−25.2074	−	7.40157i	−1.41579	−	0.415714i	−0.517714	−	0.855553i	$-0.673217\pi$
$317$	−25.2074	−	7.40157i	−1.41579	−	0.415714i	−0.898076	+	0.439840i	$0.855035\pi$
$318$	3.76171	+	8.23699i	0.210946	+	0.461907i
$319$	0.210676	+	1.46529i	0.0117956	+	0.0820403i
$320$	6.56892	+	4.22159i	0.367214	+	0.235994i
$321$	−2.84947			−0.159042
$322$		0			0
$323$	−3.72688			−0.207369
$324$	16.5690	+	10.6483i	0.920502	+	0.591571i
$325$	0.753559	+	5.24112i	0.0417999	+	0.290725i
$326$	2.96522	+	6.49293i	0.164228	+	0.359610i
$327$	−14.9739	−	4.39675i	−0.828061	−	0.243141i
$328$	−6.05106	+	13.2500i	−0.334114	+	0.731608i
$329$	−3.20172	+	3.69498i	−0.176516	+	0.203711i
$330$	0.0891112	−	0.619782i	0.00490541	−	0.0341179i
$331$	−21.8357	+	6.41153i	−1.20020	+	0.352409i	−0.819928	−	0.572467i	$-0.805987\pi$
$331$	−21.8357	+	6.41153i	−1.20020	+	0.352409i	−0.380268	+	0.924876i	$0.624168\pi$
$332$	−0.418054	−	0.482459i	−0.0229437	−	0.0264784i
$333$	−10.5375	+	6.77205i	−0.577452	+	0.371106i
$334$	3.07778	−	1.97797i	0.168409	−	0.108230i
$335$	21.0803	+	24.3280i	1.15174	+	1.32918i
$336$	19.2293	−	5.64625i	1.04905	−	0.308028i
$337$	−0.0850657	+	0.591645i	−0.00463382	+	0.0322290i	−0.992007	−	0.126182i	$-0.959728\pi$
$337$	−0.0850657	+	0.591645i	−0.00463382	+	0.0322290i	0.987373	+	0.158410i	$0.0506369\pi$
$338$	1.14129	−	1.31712i	0.0620779	−	0.0716418i
$339$	1.23758	−	2.70993i	0.0672164	−	0.147183i
$340$	8.49246	+	2.49361i	0.460568	+	0.135235i
$341$	0.143101	+	0.313348i	0.00774937	+	0.0169688i
$342$	−0.244661	−	1.70165i	−0.0132298	−	0.0920150i
$343$	7.01593	+	4.50886i	0.378825	+	0.243456i
$344$	−4.80227			−0.258921
$345$		0			0
$346$	2.86569			0.154060
$347$	0.487426	+	0.313250i	0.0261664	+	0.0168161i	0.553659	−	0.832744i	$-0.313231\pi$
$347$	0.487426	+	0.313250i	0.0261664	+	0.0168161i	−0.527492	+	0.849560i	$0.676868\pi$
$348$	−3.59424	−	24.9985i	−0.192672	−	1.34006i
$349$	9.02222	+	19.7559i	0.482948	+	1.05751i	0.981642	+	0.190731i	$0.0610859\pi$
$349$	9.02222	+	19.7559i	0.482948	+	1.05751i	−0.498694	+	0.866778i	$0.666187\pi$
$350$	2.70208	+	0.793402i	0.144432	+	0.0424091i
$351$	3.20427	−	7.01638i	0.171031	−	0.374507i
$352$	−0.732872	+	0.845779i	−0.0390622	+	0.0450802i
$353$	−0.0950636	+	0.661182i	−0.00505972	+	0.0351912i	−0.992195	−	0.124697i	$-0.960204\pi$
$353$	−0.0950636	+	0.661182i	−0.00505972	+	0.0351912i	0.987135	+	0.159888i	$0.0511133\pi$
$354$	−0.0625241	+	0.0183587i	−0.00332312	+	0.000975756i
$355$	−14.1630	−	16.3450i	−0.751695	−	0.867503i
$356$	24.0117	−	15.4314i	1.27262	−	0.817860i
$357$	12.1366	−	7.79973i	0.642338	−	0.412805i
$358$	−1.12636	−	1.29989i	−0.0595301	−	0.0687014i
$359$	15.4539	−	4.53768i	0.815627	−	0.239490i	0.152795	−	0.988258i	$-0.451173\pi$
$359$	15.4539	−	4.53768i	0.815627	−	0.239490i	0.662832	+	0.748768i	$0.269354\pi$
$360$	−1.23735	+	8.60598i	−0.0652142	+	0.453575i
$361$	9.99225	−	11.5317i	0.525908	−	0.606930i
$362$	3.79495	−	8.30978i	0.199458	−	0.436753i
$363$	23.1473	+	6.79666i	1.21492	+	0.356732i
$364$	−7.64683	−	16.7442i	−0.400803	−	0.877636i
$365$	−0.246718	−	1.71596i	−0.0129138	−	0.0898175i
$366$	−0.0394428	−	0.0253483i	−0.00206171	−	0.00132498i
$367$	−27.2461			−1.42223			−0.711117	−	0.703074i	$-0.751810\pi$
$367$	−27.2461			−1.42223			−0.711117	+	0.703074i	$0.751810\pi$
$368$		0			0
$369$	14.9711			0.779366
$370$	7.05414	+	4.53342i	0.366727	+	0.235681i
$371$	4.14942	+	28.8599i	0.215427	+	1.49833i
$372$	−2.44138	−	5.34587i	−0.126580	−	0.277171i
$373$	−15.8907	−	4.66592i	−0.822787	−	0.241592i	−0.156871	−	0.987619i	$-0.550141\pi$
$373$	−15.8907	−	4.66592i	−0.822787	−	0.241592i	−0.665916	+	0.746027i	$0.731959\pi$
$374$	−0.0876651	+	0.191960i	−0.00453305	+	0.00992600i
$375$	−12.2398	+	14.1255i	−0.632060	+	0.729436i
$376$	−0.369770	+	2.57181i	−0.0190694	+	0.132631i
$377$	−19.0013	+	5.57928i	−0.978616	+	0.287348i
$378$	−2.68649	−	3.10038i	−0.138178	−	0.159466i
$379$	9.88901	−	6.35528i	0.507964	−	0.326449i	−0.261431	−	0.965222i	$-0.584194\pi$
$379$	9.88901	−	6.35528i	0.507964	−	0.326449i	0.769395	+	0.638773i	$0.220558\pi$
$380$	7.47497	−	4.80387i	0.383458	−	0.246433i
$381$	−14.0887	−	16.2592i	−0.721784	−	0.832983i
$382$	6.01461	−	1.76605i	0.307734	−	0.0903589i
$383$	−1.59567	+	11.0981i	−0.0815349	+	0.567088i	0.907573	+	0.419895i	$0.137933\pi$
$383$	−1.59567	+	11.0981i	−0.0815349	+	0.567088i	−0.989108	+	0.147193i	$0.952976\pi$
$384$	16.2025	−	18.6987i	0.826833	−	0.954216i
$385$	0.837527	−	1.83393i	0.0426843	−	0.0934657i
$386$	−4.31174	−	1.26604i	−0.219462	−	0.0644397i
$387$	2.05038	+	4.48970i	0.104226	+	0.228224i
$388$	−0.100434	−	0.698537i	−0.00509878	−	0.0354628i
$389$	−3.44329	−	2.21287i	−0.174582	−	0.112197i	0.450432	−	0.892811i	$-0.351270\pi$
$389$	−3.44329	−	2.21287i	−0.174582	−	0.112197i	−0.625013	+	0.780614i	$0.714906\pi$
$390$	8.37640			0.424156
$391$		0			0
$392$	−8.20811			−0.414572
$393$	−9.31482	−	5.98627i	−0.469870	−	0.301967i
$394$	0.706265	+	4.91218i	0.0355811	+	0.247472i
$395$	12.8994	+	28.2458i	0.649042	+	1.42120i
$396$	0.721137	+	0.211745i	0.0362385	+	0.0106406i
$397$	1.12889	−	2.47191i	0.0566571	−	0.124062i	−0.879186	−	0.476479i	$-0.841913\pi$
$397$	1.12889	−	2.47191i	0.0566571	−	0.124062i	0.935843	+	0.352417i	$0.114640\pi$
$398$	−3.21654	+	3.71209i	−0.161231	+	0.186070i
$399$	2.06116	−	14.3357i	0.103187	−	0.717682i
$400$	−4.44459	+	1.30505i	−0.222230	+	0.0652525i
$401$	−11.9343	−	13.7729i	−0.595968	−	0.687784i	0.374991	−	0.927028i	$-0.377646\pi$
$401$	−11.9343	−	13.7729i	−0.595968	−	0.687784i	−0.970959	+	0.239244i	$0.923100\pi$
$402$	11.0154	−	7.07916i	0.549398	−	0.353076i
$403$	−3.87672	+	2.49141i	−0.193113	+	0.124106i
$404$	−22.5930	−	26.0737i	−1.12404	−	1.29721i
$405$	−27.6889	+	8.13018i	−1.37587	+	0.403992i
$406$	−1.49893	+	10.4253i	−0.0743905	+	0.517397i
$407$	1.01084	−	1.16657i	0.0501053	−	0.0578246i
$408$	3.18493	−	6.97402i	0.157678	−	0.345266i
$409$	12.5570	+	3.68706i	0.620902	+	0.182313i	0.577029	−	0.816724i	$-0.304212\pi$
$409$	12.5570	+	3.68706i	0.620902	+	0.182313i	0.0438731	+	0.999037i	$0.486030\pi$
$410$	−4.16335	−	9.11646i	−0.205613	−	0.450230i
$411$	3.64355	+	25.3414i	0.179723	+	1.25000i
$412$	−9.71887	−	6.24594i	−0.478814	−	0.307715i
$413$	−0.209817			−0.0103244
$414$		0			0
$415$	0.935353			0.0459147
$416$	−12.5945	−	8.09400i	−0.617497	−	0.396841i
$417$	5.42910	+	37.7602i	0.265864	+	1.84913i
$418$	0.0880070	+	0.192709i	0.00430456	+	0.00942568i
$419$	−1.94364	−	0.570703i	−0.0949529	−	0.0278807i	0.233911	−	0.972258i	$-0.424848\pi$
$419$	−1.94364	−	0.570703i	−0.0949529	−	0.0278807i	−0.328864	+	0.944377i	$0.606666\pi$
$420$	−14.2886	+	31.2877i	−0.697213	+	1.52668i
$421$	9.43724	−	10.8912i	0.459943	−	0.530802i	−0.477644	−	0.878553i	$-0.658509\pi$
$421$	9.43724	−	10.8912i	0.459943	−	0.530802i	0.937587	+	0.347751i	$0.113055\pi$
$422$	0.563679	−	3.92047i	0.0274395	−	0.190846i
$423$	2.56229	−	0.752356i	0.124583	−	0.0365808i
$424$	10.1469	+	11.7102i	0.492777	+	0.568695i
$425$	−2.80521	+	1.80280i	−0.136073	+	0.0874486i
$426$	−7.40079	+	4.75620i	−0.358569	+	0.230439i
$427$	−0.0988608	−	0.114091i	−0.00478421	−	0.00552127i
$428$	−2.19687	+	0.645060i	−0.106190	+	0.0311802i
$429$	0.219443	−	1.52626i	0.0105948	−	0.0736886i
$430$	2.16375	−	2.49710i	0.104345	−	0.120421i
$431$	−5.53130	+	12.1119i	−0.266433	+	0.583408i	−0.994808	−	0.101772i	$-0.967549\pi$
$431$	−5.53130	+	12.1119i	−0.266433	+	0.583408i	0.728374	+	0.685179i	$0.240276\pi$
$432$	6.47459	+	1.90111i	0.311509	+	0.0914673i
$433$	14.6800	+	32.1448i	0.705477	+	1.54478i	0.833201	+	0.552970i	$0.186506\pi$
$433$	14.6800	+	32.1448i	0.705477	+	1.54478i	−0.127724	+	0.991810i	$0.540767\pi$
$434$	0.348800	+	2.42596i	0.0167429	+	0.116450i
$435$	31.1299	+	20.0059i	1.49256	+	0.959212i
$436$	−12.5399			−0.600553
$437$		0			0
$438$	−0.705171			−0.0336944
$439$	−10.8649	−	6.98248i	−0.518556	−	0.333255i	0.255045	−	0.966929i	$-0.417910\pi$
$439$	−10.8649	−	6.98248i	−0.518556	−	0.333255i	−0.773600	+	0.633674i	$0.781546\pi$
$440$	−0.152480	−	1.06052i	−0.00726922	−	0.0505585i
$441$	3.50453	+	7.67386i	0.166883	+	0.365422i
$442$	−2.70870	−	0.795348i	−0.128840	−	0.0378308i
$443$	−2.96436	+	6.49103i	−0.140841	+	0.308398i	−0.966887	−	0.255204i	$-0.917858\pi$
$443$	−2.96436	+	6.49103i	−0.140841	+	0.308398i	0.826047	+	0.563602i	$0.190585\pi$
$444$	−17.2454	+	19.9022i	−0.818428	+	0.944517i
$445$	−5.95166	+	41.3947i	−0.282136	+	1.96230i
$446$	4.95983	−	1.45634i	0.234855	−	0.0689595i
$447$	10.5790	+	12.2088i	0.500367	+	0.577455i
$448$	8.60345	−	5.52910i	0.406475	−	0.261226i
$449$	−2.57777	+	1.65663i	−0.121652	+	0.0781812i	−0.600052	−	0.799961i	$-0.704853\pi$
$449$	−2.57777	+	1.65663i	−0.121652	+	0.0781812i	0.478400	+	0.878142i	$0.341217\pi$
$450$	−1.00730	−	1.16248i	−0.0474844	−	0.0547999i
$451$	−1.77018	+	0.519771i	−0.0833544	+	0.0244751i
$452$	0.340677	−	2.36946i	0.0160241	−	0.111450i
$453$	−24.6844	+	28.4873i	−1.15977	+	1.33845i
$454$	−4.61869	+	10.1135i	−0.216766	+	0.474651i
$455$	25.8782	+	7.59852i	1.21319	+	0.356224i
$456$	−3.19735	−	7.00123i	−0.149730	−	0.327863i
$457$	−2.40830	−	16.7501i	−0.112655	−	0.783536i	−0.965319	−	0.261075i	$-0.915923\pi$
$457$	−2.40830	−	16.7501i	−0.112655	−	0.783536i	0.852663	−	0.522461i	$-0.174986\pi$
$458$	5.71601	+	3.67346i	0.267092	+	0.171649i
$459$	4.85756			0.226732
$460$		0			0
$461$	−3.84880			−0.179257			−0.0896283	−	0.995975i	$-0.528568\pi$
$461$	−3.84880			−0.179257			−0.0896283	+	0.995975i	$0.528568\pi$
$462$	−0.689903	−	0.443373i	−0.0320972	−	0.0206276i
$463$	−1.62503	−	11.3024i	−0.0755217	−	0.525265i	−0.992104	−	0.125419i	$-0.959973\pi$
$463$	−1.62503	−	11.3024i	−0.0755217	−	0.525265i	0.916582	−	0.399846i	$-0.130937\pi$
$464$	−7.19693	−	15.7591i	−0.334109	−	0.731596i
$465$	8.26205	+	2.42596i	0.383143	+	0.112501i
$466$	4.89814	−	10.7254i	0.226902	−	0.496846i
$467$	−18.4225	+	21.2607i	−0.852492	+	0.983829i	−0.999986	−	0.00523432i	$-0.998334\pi$
$467$	−18.4225	+	21.2607i	−0.852492	+	0.983829i	0.147494	+	0.989063i	$0.452879\pi$
$468$	−1.43087	+	9.95195i	−0.0661422	+	0.460029i
$469$	40.4529	−	11.8780i	1.86794	−	0.548477i
$470$	−1.17069	−	1.35105i	−0.0539998	−	0.0623191i
$471$	−33.3735	+	21.4478i	−1.53777	+	0.988263i
$472$	−0.0938026	+	0.0602832i	−0.00431761	+	0.00277476i
$473$	−0.398310	−	0.459674i	−0.0183143	−	0.0211358i
$474$	12.1192	−	3.55853i	0.556654	−	0.163448i
$475$	−0.476408	+	3.31349i	−0.0218591	+	0.152033i
$476$	7.59136	−	8.76090i	0.347949	−	0.401555i
$477$	6.61564	−	14.4862i	0.302909	−	0.663279i
$478$	−0.107924	−	0.0316893i	−0.00493632	−	0.00144943i
$479$	−9.90583	−	21.6907i	−0.452609	−	0.991075i	−0.989110	−	0.147176i	$-0.952982\pi$
$479$	−9.90583	−	21.6907i	−0.452609	−	0.991075i	0.536501	−	0.843899i	$-0.319746\pi$
$480$	3.98120	+	27.6898i	0.181716	+	1.26386i
$481$	17.3714	+	11.1639i	0.792066	+	0.509030i
$482$	2.52266			0.114904
$483$		0			0
$484$	19.3847			0.881122
$485$	0.869865	+	0.559029i	0.0394986	+	0.0253842i
$486$	1.15508	+	8.03373i	0.0523953	+	0.364418i
$487$	7.14442	+	15.6441i	0.323745	+	0.708902i	0.999604	−	0.0281285i	$-0.00895475\pi$
$487$	7.14442	+	15.6441i	0.323745	+	0.708902i	−0.675860	+	0.737030i	$0.736227\pi$
$488$	−0.0769776	−	0.0226027i	−0.00348461	−	0.00102317i
$489$	13.6444	−	29.8772i	0.617023	−	1.35109i
$490$	3.69831	−	4.26808i	0.167073	−	0.192812i
$491$	4.86047	−	33.8053i	0.219350	−	1.52561i	−0.521098	−	0.853497i	$-0.674477\pi$
$491$	4.86047	−	33.8053i	0.219350	−	1.52561i	0.740448	−	0.672114i	$-0.234614\pi$
$492$	30.2001	−	8.86755i	1.36153	−	0.399780i
$493$	−8.16698	−	9.42520i	−0.367822	−	0.424490i
$494$	−2.38417	+	1.53221i	−0.107269	+	0.0689376i
$495$	−0.926394	+	0.595357i	−0.0416383	+	0.0267593i
$496$	−2.64003	−	3.04676i	−0.118541	−	0.136804i
$497$	−27.1786	+	7.98037i	−1.21913	+	0.357969i
$498$	0.0541465	−	0.376597i	0.00242636	−	0.0168757i
$499$	−20.0190	+	23.1032i	−0.896175	+	1.03424i	0.103042	+	0.994677i	$0.467142\pi$
$499$	−20.0190	+	23.1032i	−0.896175	+	1.03424i	−0.999217	+	0.0395637i	$0.987403\pi$
$500$	−6.23889	+	13.6613i	−0.279012	+	0.610950i
$501$	−16.1529	−	4.74293i	−0.721660	−	0.211899i
$502$	−5.80655	−	12.7146i	−0.259159	−	0.567479i
$503$	2.78627	+	19.3789i	0.124233	+	0.864063i	0.952676	+	0.303988i	$0.0983184\pi$
$503$	2.78627	+	19.3789i	0.124233	+	0.864063i	−0.828442	+	0.560075i	$0.810772\pi$
$504$	9.57964	+	6.15646i	0.426711	+	0.274230i
$505$	50.5495			2.24942
$506$		0			0
$507$	−8.01947			−0.356157
$508$	−14.5428	−	9.34609i	−0.645232	−	0.414666i
$509$	0.416422	+	2.89628i	0.0184576	+	0.128375i	0.996967	−	0.0778277i	$-0.0247984\pi$
$509$	0.416422	+	2.89628i	0.0184576	+	0.128375i	−0.978509	+	0.206203i	$0.933889\pi$
$510$	2.19135	+	4.79838i	0.0970344	+	0.212476i
$511$	−2.17857	−	0.639685i	−0.0963742	−	0.0282980i
$512$	9.45633	−	20.7065i	0.417915	−	0.915105i
$513$	3.19344	−	3.68542i	0.140994	−	0.162715i
$514$	−0.770680	+	5.36020i	−0.0339932	+	0.236428i
$515$	16.2414	−	4.76890i	0.715681	−	0.210143i
$516$	6.79536	+	7.84226i	0.299149	+	0.345236i
$517$	−0.276843	+	0.177916i	−0.0121755	+	0.00782475i
$518$	9.23896	−	5.93752i	0.405937	−	0.260880i
$519$	−8.63529	−	9.96565i	−0.379047	−	0.437444i
$520$	13.7525	−	4.03809i	0.603086	−	0.177082i
$521$	−4.89880	+	34.0719i	−0.214620	+	1.49272i	0.542841	+	0.839836i	$0.317349\pi$
$521$	−4.89880	+	34.0719i	−0.214620	+	1.49272i	−0.757461	+	0.652881i	$0.773560\pi$
$522$	3.76731	−	4.34771i	0.164891	−	0.190294i
$523$	1.73654	−	3.80249i	0.0759335	−	0.166271i	−0.867858	−	0.496812i	$-0.834504\pi$
$523$	1.73654	−	3.80249i	0.0759335	−	0.166271i	0.943792	+	0.330541i	$0.107231\pi$
$524$	−8.53669	−	2.50660i	−0.372927	−	0.109501i
$525$	−5.38316	−	11.7875i	−0.234940	−	0.514447i
$526$	1.64145	+	11.4166i	0.0715707	+	0.497785i
$527$	−2.44138	−	1.56898i	−0.106348	−	0.0683458i
$528$	1.34895			0.0587054
$529$		0			0
$530$	−10.6609			−0.463082
$531$	0.0964094	+	0.0619586i	0.00418381	+	0.00268877i
$532$	−1.65620	−	11.5191i	−0.0718052	−	0.499416i
$533$	−10.2526	−	22.4500i	−0.444088	−	0.972417i
$534$	16.3220	+	4.79258i	0.706323	+	0.207395i
$535$	1.39360	−	3.05156i	0.0602506	−	0.131930i
$536$	14.6725	−	16.9330i	0.633755	−	0.731392i
$537$	−1.12636	+	7.83402i	−0.0486061	+	0.338063i
$538$	−3.01588	+	0.885544i	−0.130024	+	0.0381785i
$539$	−0.680797	−	0.785682i	−0.0293240	−	0.0338417i
$540$	−9.74278	+	6.26131i	−0.419263	+	0.269444i
$541$	6.25381	−	4.01908i	0.268872	−	0.172794i	−0.399257	−	0.916839i	$-0.630732\pi$
$541$	6.25381	−	4.01908i	0.268872	−	0.172794i	0.668129	+	0.744045i	$0.267095\pi$
$542$	−6.28264	−	7.25055i	−0.269863	−	0.311438i
$543$	−40.3334	+	11.8429i	−1.73087	+	0.508230i
$544$	1.34176	−	9.33217i	0.0575276	−	0.400113i
$545$	12.0320	−	13.8856i	0.515392	−	0.594795i
$546$	4.55742	−	9.97935i	0.195039	−	0.427077i
$547$	−12.9654	−	3.80699i	−0.554362	−	0.162775i	−0.00746009	−	0.999972i	$-0.502375\pi$
$547$	−12.9654	−	3.80699i	−0.554362	−	0.162775i	−0.546902	+	0.837197i	$0.684193\pi$
$548$	8.54587	+	18.7128i	0.365062	+	0.799373i
$549$	0.0117348	+	0.0816177i	0.000500831	+	0.00348336i
$550$	0.159461	+	0.102480i	0.00679945	+	0.00436974i
$551$	−12.5200			−0.533369
$552$		0			0
$553$	40.6694			1.72944
$554$	−3.06195	−	1.96780i	−0.130090	−	0.0836037i
$555$	−5.49119	−	38.1920i	−0.233088	−	1.62116i
$556$	12.7338	+	27.8832i	0.540036	+	1.18251i
$557$	−21.4186	−	6.28906i	−0.907534	−	0.266476i	−0.205532	−	0.978650i	$-0.565892\pi$
$557$	−21.4186	−	6.28906i	−0.907534	−	0.266476i	−0.702003	+	0.712174i	$0.747711\pi$
$558$	0.556109	−	1.21771i	0.0235420	−	0.0515498i
$559$	5.32839	−	6.14929i	0.225367	−	0.260087i
$560$	−3.35788	+	23.3546i	−0.141897	+	0.986912i
$561$	0.931719	−	0.273577i	0.0393372	−	0.0115504i
$562$	10.0749	+	11.6271i	0.424985	+	0.490458i
$563$	−12.3698	+	7.94960i	−0.521326	+	0.335036i	−0.774696	−	0.632334i	$-0.782097\pi$
$563$	−12.3698	+	7.94960i	−0.521326	+	0.335036i	0.253371	+	0.967369i	$0.418461\pi$
$564$	4.72308	−	3.03534i	0.198877	−	0.127811i
$565$	2.29686	+	2.65072i	0.0966297	+	0.111517i
$566$	2.77506	−	0.814832i	0.116645	−	0.0342500i
$567$	−5.37889	+	37.4110i	−0.225892	+	1.57111i
$568$	−9.85785	+	11.3766i	−0.413626	+	0.477350i
$569$	14.4346	−	31.6074i	0.605131	−	1.32505i	−0.320725	−	0.947172i	$-0.603926\pi$
$569$	14.4346	−	31.6074i	0.605131	−	1.32505i	0.925855	−	0.377879i	$-0.123346\pi$
$570$	5.08114	+	1.49196i	0.212826	+	0.0624912i
$571$	−9.25542	−	20.2665i	−0.387327	−	0.848128i	−0.998400	−	0.0565534i	$-0.981989\pi$
$571$	−9.25542	−	20.2665i	−0.387327	−	0.848128i	0.611072	−	0.791575i	$-0.290738\pi$
$572$	−0.176328	−	1.22639i	−0.00737266	−	0.0512780i
$573$	−24.2656	−	15.5946i	−1.01371	−	0.651472i
$574$	−13.1262			−0.547878
$575$		0			0
$576$	−5.58596			−0.232748
$577$	−1.76606	−	1.13498i	−0.0735220	−	0.0472497i	0.503363	−	0.864075i	$-0.332096\pi$
$577$	−1.76606	−	1.13498i	−0.0735220	−	0.0472497i	−0.576885	+	0.816825i	$0.695732\pi$
$578$	0.905595	+	6.29855i	0.0376678	+	0.261985i
$579$	8.58996	+	18.8094i	0.356987	+	0.781692i
$580$	28.5294	+	8.37698i	1.18462	+	0.347835i
$581$	0.508905	−	1.11435i	0.0211129	−	0.0462309i
$582$	0.275434	−	0.317868i	0.0114171	−	0.0131761i
$583$	−0.279293	+	1.94253i	−0.0115671	+	0.0804512i
$584$	−1.15776	+	0.339949i	−0.0479084	+	0.0140672i
$585$	−9.64702	−	11.1333i	−0.398855	−	0.460303i
$586$	−11.7867	+	7.57487i	−0.486905	+	0.312915i
$587$	−14.0507	+	9.02983i	−0.579934	+	0.372701i	−0.797477	−	0.603350i	$-0.793832\pi$
$587$	−14.0507	+	9.02983i	−0.579934	+	0.372701i	0.217543	+	0.976051i	$0.430196\pi$
$588$	11.6147	+	13.4041i	0.478983	+	0.552776i
$589$	−2.79538	+	0.820798i	−0.115182	+	0.0338204i
$590$	0.0109181	−	0.0759374i	0.000449493	−	0.00312629i
$591$	14.9543	−	17.2581i	0.615136	−	0.709905i
$592$	−7.50434	+	16.4322i	−0.308427	+	0.675360i
$593$	30.4220	+	8.93272i	1.24928	+	0.366823i	0.838496	−	0.544908i	$-0.183436\pi$
$593$	30.4220	+	8.93272i	1.24928	+	0.366823i	0.410788	+	0.911731i	$0.365254\pi$
$594$	−0.114707	−	0.251174i	−0.00470650	−	0.0103058i
$595$	2.41721	+	16.8120i	0.0990958	+	0.689226i
$596$	10.9200	+	7.01783i	0.447299	+	0.287461i
$597$	22.6016			0.925021
$598$		0			0
$599$	−2.96111			−0.120988			−0.0604938	−	0.998169i	$-0.519268\pi$
$599$	−2.96111			−0.120988			−0.0604938	+	0.998169i	$0.519268\pi$
$600$	−5.79334	−	3.72315i	−0.236512	−	0.151997i
$601$	2.92096	+	20.3158i	0.119149	+	0.828697i	0.958497	+	0.285103i	$0.0920278\pi$
$601$	2.92096	+	20.3158i	0.119149	+	0.828697i	−0.839348	+	0.543594i	$0.817063\pi$
$602$	−1.79771	−	3.93643i	−0.0732690	−	0.160437i
$603$	−22.0954	−	6.48779i	−0.899793	−	0.264203i
$604$	−12.5822	+	27.5511i	−0.511961	+	1.12104i
$605$	−18.5995	+	21.4649i	−0.756176	+	0.872673i
$606$	2.92625	−	20.3525i	0.118871	−	0.826765i
$607$	5.18594	−	1.52273i	0.210491	−	0.0618056i	−0.174787	−	0.984606i	$-0.555924\pi$
$607$	5.18594	−	1.52273i	0.210491	−	0.0618056i	0.385278	+	0.922801i	$0.374106\pi$
$608$	−6.19820	−	7.15310i	−0.251370	−	0.290097i
$609$	40.7714	−	26.2022i	1.65214	−	1.06177i
$610$	0.0464366	−	0.0298430i	0.00188016	−	0.00120831i
$611$	−2.88291	−	3.32706i	−0.116630	−	0.134598i
$612$	−6.07525	+	1.78386i	−0.245578	+	0.0721081i
$613$	−1.49069	+	10.3680i	−0.0602084	+	0.418759i	0.937319	+	0.348474i	$0.113300\pi$
$613$	−1.49069	+	10.3680i	−0.0602084	+	0.418759i	−0.997527	+	0.0702849i	$0.977609\pi$
$614$	2.68787	−	3.10196i	0.108473	−	0.125185i
$615$	−19.1576	+	41.9493i	−0.772510	+	1.69156i
$616$	−1.34643	−	0.395348i	−0.0542493	−	0.0159290i
$617$	8.01430	+	17.5489i	0.322643	+	0.706490i	0.999563	−	0.0295667i	$-0.00941274\pi$
$617$	8.01430	+	17.5489i	0.322643	+	0.706490i	−0.676919	+	0.736057i	$0.736685\pi$
$618$	−0.979887	−	6.81526i	−0.0394168	−	0.274150i
$619$	−0.232161	−	0.149201i	−0.00933134	−	0.00599689i	0.535967	−	0.844239i	$-0.319947\pi$
$619$	−0.232161	−	0.149201i	−0.00933134	−	0.00599689i	−0.545298	+	0.838242i	$0.683584\pi$
$620$	6.91904			0.277875
$621$		0			0
$622$	0.101095			0.00405353
$623$	46.0780	+	29.6126i	1.84608	+	1.18640i
$624$	2.56815	+	17.8619i	0.102808	+	0.715048i
$625$	−12.7358	−	27.8876i	−0.509434	−	1.11550i
$626$	−13.5389	−	3.97538i	−0.541123	−	0.158888i
$627$	0.404964	−	0.886747i	0.0161727	−	0.0354133i
$628$	−20.8748	+	24.0909i	−0.832997	+	0.961330i
$629$	−1.85067	+	12.8717i	−0.0737910	+	0.513228i
$630$	−7.51753	+	2.20735i	−0.299505	+	0.0879427i
$631$	24.8043	+	28.6257i	0.987445	+	1.13957i	0.990211	+	0.139576i	$0.0445740\pi$
$631$	24.8043	+	28.6257i	0.987445	+	1.13957i	−0.00276642	+	0.999996i	$0.500881\pi$
$632$	18.1820	−	11.6849i	0.723241	−	0.464799i
$633$	−15.3323	+	9.85347i	−0.609404	+	0.391640i
$634$	−8.23897	−	9.50828i	−0.327211	−	0.377622i
$635$	24.3028	−	7.13593i	0.964426	−	0.283181i
$636$	4.76488	−	33.1405i	0.188940	−	1.31410i
$637$	9.10737	−	10.5105i	0.360847	−	0.416440i
$638$	−0.294500	+	0.644865i	−0.0116594	+	0.0255304i
$639$	14.8450	+	4.35888i	0.587259	+	0.172435i
$640$	12.1007	+	26.4968i	0.478321	+	1.04738i
$641$	−3.07550	−	21.3905i	−0.121475	−	0.844876i	−0.955887	−	0.293735i	$-0.905102\pi$
$641$	−3.07550	−	21.3905i	−0.121475	−	0.844876i	0.834412	−	0.551141i	$-0.185807\pi$
$642$	−1.14796	−	0.737750i	−0.0453064	−	0.0291167i
$643$	−26.9690			−1.06355			−0.531777	−	0.846884i	$-0.678476\pi$
$643$	−26.9690			−1.06355			−0.531777	+	0.846884i	$0.678476\pi$
$644$		0			0
$645$	−15.2039			−0.598655
$646$	−1.50144	−	0.964919i	−0.0590735	−	0.0379642i
$647$	1.35025	+	9.39117i	0.0530837	+	0.369205i	0.998997	+	0.0447846i	$0.0142601\pi$
$647$	1.35025	+	9.39117i	0.0530837	+	0.369205i	−0.945913	+	0.324420i	$0.894831\pi$
$648$	8.34394	+	18.2707i	0.327781	+	0.717740i
$649$	−0.0135505	−	0.00397878i	−0.000531903	−	0.000156181i
$650$	−1.05338	+	2.30659i	−0.0413171	+	0.0904718i
$651$	7.38540	−	8.52320i	0.289456	−	0.334051i
$652$	3.75599	−	26.1235i	0.147096	−	1.02307i
$653$	−21.9405	+	6.44231i	−0.858598	+	0.252107i	−0.681259	−	0.732043i	$-0.738567\pi$
$653$	−21.9405	+	6.44231i	−0.858598	+	0.252107i	−0.177339	+	0.984150i	$0.556749\pi$
$654$	−4.89419	−	5.64819i	−0.191378	−	0.220862i
$655$	10.9665	−	7.04773i	0.428496	−	0.275378i
$656$	18.1636	−	11.6730i	0.709168	−	0.455754i
$657$	0.812139	+	0.937258i	0.0316846	+	0.0365659i
$658$	−2.24653	+	0.659642i	−0.0875790	+	0.0257155i
$659$	3.61515	−	25.1440i	0.140826	−	0.979469i	−0.789765	−	0.613410i	$-0.789798\pi$
$659$	3.61515	−	25.1440i	0.140826	−	0.979469i	0.930591	−	0.366060i	$-0.119293\pi$
$660$	−1.51611	+	1.74968i	−0.0590144	+	0.0681062i
$661$	6.41009	−	14.0361i	0.249323	−	0.545942i	−0.743046	−	0.669240i	$-0.766620\pi$
$661$	6.41009	−	14.0361i	0.249323	−	0.545942i	0.992370	+	0.123298i	$0.0393470\pi$
$662$	−10.4569	−	3.07043i	−0.406419	−	0.119335i
$663$	5.39636	+	11.8164i	0.209577	+	0.458910i
$664$	−0.0926514	−	0.644405i	−0.00359557	−	0.0250078i
$665$	14.3444	+	9.21856i	0.556251	+	0.357480i
$666$	−5.99858			−0.232440
$667$		0			0
$668$	−13.5273			−0.523386
$669$	−20.0102	−	12.8597i	−0.773637	−	0.497186i
$670$	2.19390	+	15.2589i	0.0847576	+	0.589502i
$671$	−0.00422114	−	0.00924301i	−0.000162955	−	0.000356823i
$672$	35.1548	+	10.3224i	1.35612	+	0.398194i
$673$	−9.91371	+	21.7080i	−0.382145	+	0.836781i	0.616628	+	0.787255i	$0.288498\pi$
$673$	−9.91371	+	21.7080i	−0.382145	+	0.836781i	−0.998773	+	0.0495264i	$0.984229\pi$
$674$	−0.187452	+	0.216331i	−0.00722039	+	0.00833277i
$675$	0.620945	−	4.31877i	0.0239002	−	0.166229i
$676$	−6.18283	+	1.81544i	−0.237801	+	0.0698247i
$677$	−6.92333	−	7.98995i	−0.266085	−	0.307079i	0.606946	−	0.794743i	$-0.292394\pi$
$677$	−6.92333	−	7.98995i	−0.266085	−	0.307079i	−0.873031	+	0.487664i	$0.837849\pi$
$678$	1.20021	−	0.771327i	0.0460937	−	0.0296226i
$679$	1.13928	−	0.732172i	0.0437216	−	0.0280982i
$680$	5.91098	+	6.82164i	0.226676	+	0.261598i
$681$	49.0883	−	14.4136i	1.88107	−	0.552331i
$682$	−0.0234773	+	0.163288i	−0.000898994	+	0.00625264i
$683$	−4.85481	+	5.60275i	−0.185764	+	0.214383i	−0.840991	−	0.541049i	$-0.818027\pi$
$683$	−4.85481	+	5.60275i	−0.185764	+	0.214383i	0.655227	+	0.755432i	$0.272573\pi$
$684$	−2.64056	+	5.78201i	−0.100964	+	0.221081i
$685$	−28.9207	−	8.49188i	−1.10500	−	0.324458i
$686$	1.65912	+	3.63296i	0.0633455	+	0.138707i
$687$	−4.44954	−	30.9473i	−0.169761	−	1.18071i
$688$	5.98822	+	3.84839i	0.228299	+	0.146719i
$689$	−26.2534			−1.00018
$690$		0			0
$691$	−29.9490			−1.13932			−0.569658	−	0.821882i	$-0.692924\pi$
$691$	−29.9490			−1.13932			−0.569658	+	0.821882i	$0.692924\pi$
$692$	−8.91364	−	5.72845i	−0.338846	−	0.217763i
$693$	0.205257	+	1.42759i	0.00779707	+	0.0542298i
$694$	0.115266	+	0.252397i	0.00437544	+	0.00958087i
$695$	−43.0935	−	12.6534i	−1.63463	−	0.479971i
$696$	10.6994	−	23.4284i	0.405559	−	0.888050i
$697$	10.1782	−	11.7463i	0.385527	−	0.444921i
$698$	−1.48019	+	10.2950i	−0.0560261	+	0.389670i
$699$	−52.0582	+	15.2857i	−1.96902	+	0.578157i
$700$	−6.81873	−	7.86924i	−0.257724	−	0.297429i
$701$	4.51644	−	2.90254i	0.170584	−	0.109627i	−0.452563	−	0.891732i	$-0.649490\pi$
$701$	4.51644	−	2.90254i	0.170584	−	0.109627i	0.623147	+	0.782105i	$0.285854\pi$
$702$	3.10750	−	1.99707i	0.117285	−	0.0753745i
$703$	8.54906	+	9.86614i	0.322434	+	0.372108i
$704$	0.660481	−	0.193935i	0.0248928	−	0.00730919i
$705$	−1.17069	+	8.14232i	−0.0440907	+	0.306657i
$706$	−0.209484	+	0.241757i	−0.00788402	+	0.00909864i
$707$	27.5029	−	60.2229i	1.03435	−	2.26492i
$708$	0.231178	+	0.0678800i	0.00868820	+	0.00255109i
$709$	3.14017	+	6.87601i	0.117932	+	0.258234i	0.959387	−	0.282092i	$-0.0910283\pi$
$709$	3.14017	+	6.87601i	0.117932	+	0.258234i	−0.841456	+	0.540326i	$0.818301\pi$
$710$	−1.47399	−	10.2518i	−0.0553178	−	0.384744i
$711$	−18.6873	−	12.0096i	−0.700829	−	0.450395i
$712$	29.1081			1.09087
$713$		0			0
$714$	6.90888			0.258558
$715$	1.52719	+	0.981462i	0.0571135	+	0.0367046i
$716$	0.905061	+	6.29484i	0.0338237	+	0.235249i
$717$	0.215009	+	0.470804i	0.00802965	+	0.0175825i
$718$	7.40075	+	2.17306i	0.276194	+	0.0810977i
$719$	−14.0360	+	30.7345i	−0.523454	+	1.14620i	0.444661	+	0.895699i	$0.353324\pi$
$719$	−14.0360	+	30.7345i	−0.523454	+	1.14620i	−0.968115	+	0.250505i	$0.919403\pi$
$720$	8.43950	−	9.73970i	0.314521	−	0.362977i
$721$	3.15508	−	21.9441i	0.117501	−	0.817240i
$722$	7.01121	−	2.05868i	0.260930	−	0.0766161i
$723$	−7.60164	−	8.77276i	−0.282708	−	0.326262i
$724$	−28.4151	+	18.2613i	−1.05604	+	0.678676i
$725$	−9.42375	+	6.05628i	−0.349989	+	0.224924i
$726$	7.56562	+	8.73119i	0.280786	+	0.324045i
$727$	−8.99199	+	2.64029i	−0.333494	+	0.0979228i	−0.444193	−	0.895931i	$-0.646509\pi$
$727$	−8.99199	+	2.64029i	−0.333494	+	0.0979228i	0.110698	+	0.993854i	$0.464691\pi$
$728$	2.67158	−	18.5813i	0.0990154	−	0.688667i
$729$	2.60461	−	3.00588i	0.0964670	−	0.111329i
$730$	0.344881	−	0.755185i	0.0127646	−	0.0279506i
$731$	4.91655	+	1.44363i	0.181845	+	0.0533945i
$732$	0.0720148	+	0.157690i	0.00266174	+	0.00582840i
$733$	−2.87062	−	19.9656i	−0.106029	−	0.737447i	−0.971595	−	0.236652i	$-0.923950\pi$
$733$	−2.87062	−	19.9656i	−0.106029	−	0.737447i	0.865566	−	0.500796i	$-0.166959\pi$
$734$	−10.9766	−	7.05424i	−0.405154	−	0.260377i
$735$	−25.9868			−0.958538
$736$		0			0
$737$	2.83779			0.104531
$738$	6.03140	+	3.87615i	0.222019	+	0.142683i
$739$	−4.71756	−	32.8114i	−0.173538	−	1.20699i	−0.871334	−	0.490690i	$-0.836745\pi$
$739$	−4.71756	−	32.8114i	−0.173538	−	1.20699i	0.697796	−	0.716297i	$-0.254164\pi$
$740$	−12.8795	−	28.2021i	−0.473459	−	1.03673i
$741$	12.5127	+	3.67406i	0.459666	+	0.134970i
$742$	−5.80039	+	12.7011i	−0.212939	+	0.466271i
$743$	−8.64614	+	9.97818i	−0.317196	+	0.366064i	−0.891849	−	0.452333i	$-0.850592\pi$
$743$	−8.64614	+	9.97818i	−0.317196	+	0.366064i	0.574653	+	0.818397i	$0.305137\pi$
$744$	0.852947	−	5.93238i	0.0312706	−	0.217492i
$745$	−18.2486	+	5.35826i	−0.668575	+	0.196311i
$746$	−5.19381	−	5.99398i	−0.190159	−	0.219455i
$747$	−0.562903	+	0.361756i	−0.0205955	+	0.0132360i
$748$	0.656402	−	0.421844i	0.0240004	−	0.0154241i
$749$	−2.87729	−	3.32057i	−0.105134	−	0.121331i
$750$	−8.58823	+	2.52173i	−0.313598	+	0.0920807i
$751$	3.54101	−	24.6282i	0.129213	−	0.898697i	−0.817342	−	0.576154i	$-0.804553\pi$
$751$	3.54101	−	24.6282i	0.129213	−	0.898697i	0.946555	−	0.322544i	$-0.104538\pi$
$752$	2.52206	−	2.91061i	0.0919699	−	0.106139i
$753$	−26.7188	+	58.5060i	−0.973687	+	2.13208i
$754$	−9.09956	−	2.67187i	−0.331386	−	0.0973038i
$755$	−18.4352	−	40.3675i	−0.670926	−	1.46912i
$756$	2.15867	+	15.0138i	0.0785099	+	0.546048i
$757$	−21.5184	−	13.8291i	−0.782101	−	0.502626i	0.0876293	−	0.996153i	$-0.472071\pi$
$757$	−21.5184	−	13.8291i	−0.782101	−	0.502626i	−0.869730	+	0.493527i	$0.835707\pi$
$758$	5.62941			0.204469
$759$		0			0
$760$	9.06153			0.328696
$761$	27.6306	+	17.7571i	1.00161	+	0.643696i	0.935209	−	0.354097i	$-0.115212\pi$
$761$	27.6306	+	17.7571i	1.00161	+	0.643696i	0.0664016	+	0.997793i	$0.478848\pi$
$762$	−1.46625	−	10.1980i	−0.0531167	−	0.369434i
$763$	−9.99651	−	21.8893i	−0.361898	−	0.792446i
$764$	−22.2385	−	6.52982i	−0.804562	−	0.236241i
$765$	3.85388	−	8.43881i	0.139337	−	0.305106i
$766$	−3.51624	+	4.05796i	−0.127047	+	0.146620i
$767$	0.0268868	−	0.187002i	0.000970826	−	0.00675224i
$768$	−1.35882	+	0.398985i	−0.0490322	+	0.0143971i
$769$	−20.4643	−	23.6170i	−0.737960	−	0.851651i	0.255384	−	0.966840i	$-0.417798\pi$
$769$	−20.4643	−	23.6170i	−0.737960	−	0.851651i	−0.993344	+	0.115189i	$0.963253\pi$
$770$	0.812233	−	0.521991i	0.0292708	−	0.0188112i
$771$	20.9628	−	13.4720i	0.754957	−	0.485181i
$772$	10.8807	+	12.5570i	0.391606	+	0.451938i
$773$	6.55151	−	1.92370i	0.235641	−	0.0691906i	−0.161780	−	0.986827i	$-0.551723\pi$
$773$	6.55151	−	1.92370i	0.235641	−	0.0691906i	0.397421	+	0.917636i	$0.369905\pi$
$774$	−0.336386	+	2.33962i	−0.0120912	+	0.0840959i
$775$	−1.70703	+	1.97002i	−0.0613184	+	0.0707652i
$776$	0.298974	−	0.654662i	0.0107325	−	0.0235010i
$777$	−48.4883	−	14.2374i	−1.73951	−	0.510765i
$778$	−0.814265	−	1.78299i	−0.0291928	−	0.0639234i
$779$	−2.22056	−	15.4443i	−0.0795599	−	0.553351i
$780$	−26.0545	−	16.7442i	−0.932902	−	0.599540i
$781$	−1.90660			−0.0682234
$782$		0			0
$783$	16.3184			0.583172
$784$	10.2352	+	6.57774i	0.365541	+	0.234919i
$785$	−6.64687	−	46.2300i	−0.237237	−	1.65002i
$786$	−2.20276	−	4.82337i	−0.0785698	−	0.172044i
$787$	29.1245	+	8.55173i	1.03818	+	0.304836i	0.756031	−	0.654535i	$-0.227136\pi$
$787$	29.1245	+	8.55173i	1.03818	+	0.304836i	0.282146	+	0.959372i	$0.408954\pi$
$788$	7.62252	−	16.6910i	0.271541	−	0.594592i
$789$	34.7557	−	40.1102i	1.23733	−	1.42796i
$790$	−2.11629	+	14.7192i	−0.0752944	+	0.523684i
$791$	4.40764	−	1.29420i	0.156718	−	0.0460165i
$792$	0.501931	+	0.579259i	0.0178353	+	0.0205831i
$793$	0.114354	−	0.0734907i	0.00406082	−	0.00260973i
$794$	1.09479	−	0.703580i	0.0388527	−	0.0249691i
$795$	32.1250	+	37.0742i	1.13936	+	1.31489i
$796$	17.4253	−	5.11653i	0.617624	−	0.181351i
$797$	2.81152	−	19.5545i	0.0995891	−	0.692658i	−0.877461	−	0.479648i	$-0.840764\pi$
$797$	2.81152	−	19.5545i	0.0995891	−	0.692658i	0.977050	−	0.213010i	$-0.0683265\pi$
$798$	4.54200	−	5.24175i	0.160785	−	0.185556i
$799$	1.15169	−	2.52185i	0.0407439	−	0.0892166i
$800$	−8.12553	−	2.38587i	−0.287281	−	0.0843533i
$801$	−12.4280	−	27.2135i	−0.439122	−	0.961543i
$802$	−1.24203	−	8.63854i	−0.0438578	−	0.305037i
$803$	−0.128567	−	0.0826249i	−0.00453702	−	0.00291577i
$804$	−48.4141			−1.70743
$805$		0			0
$806$	−2.20686			−0.0777332
$807$	12.1674	+	7.81953i	0.428314	+	0.275260i
$808$	−5.00718	−	34.8257i	−0.176152	−	1.22516i
$809$	−10.7864	−	23.6190i	−0.379231	−	0.830400i	−0.998960	−	0.0455842i	$-0.985485\pi$
$809$	−10.7864	−	23.6190i	−0.379231	−	0.830400i	0.619730	−	0.784815i	$-0.287242\pi$
$810$	−13.2600	−	3.89347i	−0.465907	−	0.136803i
$811$	22.0312	−	48.2417i	0.773622	−	1.69400i	0.0551099	−	0.998480i	$-0.482449\pi$
$811$	22.0312	−	48.2417i	0.773622	−	1.69400i	0.718512	−	0.695515i	$-0.244824\pi$
$812$	25.5022	−	29.4311i	0.894953	−	1.03283i
$813$	−6.28264	+	43.6967i	−0.220342	+	1.53251i
$814$	0.709268	−	0.208260i	0.0248598	−	0.00729951i
$815$	25.3230	+	29.2243i	0.887027	+	1.02368i
$816$	−9.56024	+	6.14400i	−0.334675	+	0.215083i
$817$	4.32749	−	2.78111i	0.151400	−	0.0972987i
$818$	4.10420	+	4.73650i	0.143500	+	0.165608i
$819$	−18.5125	+	5.43576i	−0.646879	+	0.189941i
$820$	−5.27363	+	36.6789i	−0.184163	+	1.28088i
$821$	−27.9134	+	32.2137i	−0.974183	+	1.12427i	0.0180456	+	0.999837i	$0.494256\pi$
$821$	−27.9134	+	32.2137i	−0.974183	+	1.12427i	−0.992228	+	0.124430i	$0.960290\pi$
$822$	−5.09323	+	11.1526i	−0.177647	+	0.388992i
$823$	29.1861	+	8.56980i	1.01736	+	0.298724i	0.747562	−	0.664192i	$-0.231224\pi$
$823$	29.1861	+	8.56980i	1.01736	+	0.298724i	0.269800	+	0.962916i	$0.413042\pi$
$824$	−4.89429	−	10.7170i	−0.170501	−	0.373345i
$825$	−0.124130	−	0.863345i	−0.00432166	−	0.0300578i
$826$	−0.0845288	−	0.0543234i	−0.00294113	−	0.00189015i
$827$	41.6718			1.44907			0.724535	−	0.689238i	$-0.242055\pi$
$827$	41.6718			1.44907			0.724535	+	0.689238i	$0.242055\pi$
$828$		0			0
$829$	−7.98458			−0.277316			−0.138658	−	0.990340i	$-0.544279\pi$
$829$	−7.98458			−0.277316			−0.138658	+	0.990340i	$0.544279\pi$
$830$	0.376825	+	0.242171i	0.0130798	+	0.00840587i
$831$	2.38353	+	16.5778i	0.0826837	+	0.575078i
$832$	3.82539	+	8.37645i	0.132622	+	0.290401i
$833$	8.40344	+	2.46747i	0.291162	+	0.0854929i
$834$	−7.58921	+	16.6181i	−0.262793	+	0.575436i
$835$	12.9793	−	14.9789i	0.449168	−	0.518367i
$836$	0.111477	−	0.775338i	0.00385550	−	0.0268156i
$837$	3.64347	−	1.06982i	0.125937	−	0.0369783i
$838$	−0.635271	−	0.733142i	−0.0219451	−	0.0253260i
$839$	−28.4352	+	18.2742i	−0.981693	+	0.630896i	−0.929920	−	0.367763i	$-0.880124\pi$
$839$	−28.4352	+	18.2742i	−0.981693	+	0.630896i	−0.0517738	+	0.998659i	$0.516487\pi$
$840$	−29.5090	+	18.9643i	−1.01816	+	0.654329i
$841$	−8.44500	−	9.74605i	−0.291207	−	0.336071i
$842$	6.62178	−	1.94433i	0.228202	−	0.0670061i
$843$	10.0749	−	70.0726i	0.346998	−	2.41343i
$844$	−9.59024	+	11.0677i	−0.330110	+	0.380967i
$845$	3.92212	−	8.58824i	0.134925	−	0.295444i
$846$	1.22706	+	0.360297i	0.0421871	+	0.0123873i
$847$	15.4530	+	33.8373i	0.530971	+	1.16266i
$848$	−3.26858	−	22.7335i	−0.112244	−	0.780671i
$849$	−11.1958	−	7.19513i	−0.384240	−	0.246936i
$850$	−1.59689			−0.0547729
$851$		0			0
$852$	32.5275			1.11437
$853$	−24.4558	−	15.7168i	−0.837352	−	0.538134i	0.0502542	−	0.998736i	$-0.483997\pi$
$853$	−24.4558	−	15.7168i	−0.837352	−	0.538134i	−0.887606	+	0.460603i	$0.847633\pi$
$854$	−0.0102887	−	0.0715598i	−0.000352074	−	0.00244873i
$855$	−3.86891	−	8.47173i	−0.132314	−	0.289727i
$856$	−2.24039	−	0.657839i	−0.0765750	−	0.0224845i
$857$	−7.26081	+	15.8990i	−0.248024	+	0.543098i	−0.992166	−	0.124924i	$-0.960131\pi$
$857$	−7.26081	+	15.8990i	−0.248024	+	0.543098i	0.744142	+	0.668022i	$0.232859\pi$
$858$	0.483568	−	0.558068i	0.0165088	−	0.0190521i
$859$	6.30974	−	43.8852i	0.215286	−	1.49734i	−0.539842	−	0.841766i	$-0.681516\pi$
$859$	6.30974	−	43.8852i	0.215286	−	1.49734i	0.755128	−	0.655578i	$-0.227575\pi$
$860$	−11.7219	+	3.44186i	−0.399713	+	0.117366i
$861$	39.5537	+	45.6474i	1.34799	+	1.55566i
$862$	−5.36425	+	3.44739i	−0.182707	+	0.117419i
$863$	−9.29363	+	5.97265i	−0.316359	+	0.203311i	−0.689177	−	0.724593i	$-0.742028\pi$
$863$	−9.29363	+	5.97265i	−0.316359	+	0.203311i	0.372818	+	0.927904i	$0.378391\pi$
$864$	8.07866	+	9.32327i	0.274842	+	0.317184i
$865$	14.8958	−	4.37379i	0.506471	−	0.148713i
$866$	−2.40842	+	16.7509i	−0.0818414	+	0.569219i
$867$	19.1748	−	22.1289i	0.651211	−	0.751538i
$868$	3.76450	−	8.24310i	0.127775	−	0.279789i
$869$	2.62653	+	0.771218i	0.0890989	+	0.0261618i
$870$	7.36155	+	16.1196i	0.249580	+	0.546504i
$871$	5.40264	+	37.5762i	0.183061	+	1.27322i
$872$	−10.7582	−	6.91389i	−0.364319	−	0.234134i
$873$	−0.739701			−0.0250351
$874$		0			0
$875$	−28.8202			−0.974300
$876$	2.19341	+	1.40962i	0.0741085	+	0.0476267i
$877$	2.79964	+	19.4719i	0.0945371	+	0.657520i	0.980898	+	0.194525i	$0.0623164\pi$
$877$	2.79964	+	19.4719i	0.0945371	+	0.657520i	−0.886361	+	0.462996i	$0.846775\pi$
$878$	−2.56933	−	5.62605i	−0.0867107	−	0.189870i
$879$	61.8596	+	18.1636i	2.08647	+	0.612643i
$880$	−0.659736	+	1.44462i	−0.0222397	+	0.0486982i
$881$	13.7208	−	15.8346i	0.462265	−	0.533483i	−0.475979	−	0.879457i	$-0.657906\pi$
$881$	13.7208	−	15.8346i	0.462265	−	0.533483i	0.938244	+	0.345974i	$0.112451\pi$
$882$	−0.574957	+	3.99891i	−0.0193598	+	0.134650i
$883$	39.4453	−	11.5822i	1.32744	−	0.389771i	0.460268	−	0.887780i	$-0.347753\pi$
$883$	39.4453	−	11.5822i	1.32744	−	0.389771i	0.867172	+	0.498009i	$0.165935\pi$
$884$	6.83546	+	7.88854i	0.229901	+	0.265320i
$885$	−0.296978	+	0.190856i	−0.00998281	+	0.00641556i
$886$	−2.87483	+	1.84754i	−0.0965818	+	0.0620694i
$887$	−26.0976	−	30.1182i	−0.876270	−	1.01127i	−0.999821	−	0.0189314i	$-0.993974\pi$
$887$	−26.0976	−	30.1182i	−0.876270	−	1.01127i	0.123551	−	0.992338i	$-0.460572\pi$
$888$	−25.7682	+	7.56622i	−0.864724	+	0.253906i
$889$	4.72110	−	32.8360i	0.158341	−	1.10128i
$890$	−13.1152	+	15.1357i	−0.439622	+	0.507351i
$891$	−1.05681	+	2.31409i	−0.0354045	+	0.0775250i
$892$	−18.3386	−	5.38469i	−0.614021	−	0.180293i
$893$	−1.15618	−	2.53169i	−0.0386902	−	0.0847197i
$894$	1.10098	+	7.65751i	0.0368224	+	0.256106i
$895$	−7.83876	−	5.03767i	−0.262021	−	0.168391i
$896$	38.1510			1.27454
$897$		0			0
$898$	−1.46742			−0.0489683
$899$	−8.20151	−	5.27079i	−0.273536	−	0.175791i
$900$	0.809388	+	5.62942i	0.0269796	+	0.187647i
$901$	−6.86814	−	15.0391i	−0.228811	−	0.501026i
$902$	−0.847723	−	0.248914i	−0.0282261	−	0.00828793i
$903$	−8.27213	+	18.1134i	−0.275279	+	0.602777i
$904$	1.59868	−	1.84497i	0.0531712	−	0.0613628i
$905$	7.04313	−	48.9861i	0.234122	−	1.62835i
$906$	−17.3202	+	5.08566i	−0.575424	+	0.168960i
$907$	−24.9248	−	28.7648i	−0.827615	−	0.955118i	0.171935	−	0.985108i	$-0.444998\pi$
$907$	−24.9248	−	28.7648i	−0.827615	−	0.955118i	−0.999550	+	0.0299898i	$0.990453\pi$
$908$	34.5830	−	22.2251i	1.14768	−	0.737567i
$909$	−30.4211	+	19.5505i	−1.00900	+	0.648448i
$910$	8.45821	+	9.76129i	0.280387	+	0.323584i
$911$	48.1919	−	14.1504i	1.59667	−	0.468824i	0.642052	−	0.766661i	$-0.278083\pi$
$911$	48.1919	−	14.1504i	1.59667	−	0.468824i	0.954617	+	0.297837i	$0.0962651\pi$
$912$	−1.62362	+	11.2925i	−0.0537633	+	0.373932i
$913$	0.0539978	−	0.0623168i	0.00178707	−	0.00206239i
$914$	3.36651	−	7.37162i	0.111354	−	0.243831i
$915$	−0.243710	−	0.0715598i	−0.00805682	−	0.00236569i
$916$	−10.4363	−	22.8524i	−0.344826	−	0.755063i
$917$	−2.42979	−	16.8996i	−0.0802389	−	0.558074i
$918$	1.95696	+	1.25766i	0.0645894	+	0.0415091i
$919$	50.0605			1.65134			0.825671	−	0.564152i	$-0.190797\pi$
$919$	50.0605			1.65134			0.825671	+	0.564152i	$0.190797\pi$
$920$		0			0
$921$	−18.8868			−0.622340
$922$	−1.55056	−	0.996487i	−0.0510651	−	0.0328175i
$923$	−3.62981	−	25.2459i	−0.119477	−	0.830979i
$924$	1.25963	+	2.75820i	0.0414387	+	0.0907381i
$925$	11.2074	+	3.29079i	0.368497	+	0.108200i
$926$	2.27160	−	4.97411i	0.0746493	−	0.163459i
$927$	−7.92979	+	9.15146i	−0.260448	+	0.300573i
$928$	4.50749	−	31.3503i	0.147966	−	1.02912i
$929$	3.45822	−	1.01542i	0.113461	−	0.0333150i	−0.224509	−	0.974472i	$-0.572078\pi$
$929$	3.45822	−	1.01542i	0.113461	−	0.0333150i	0.337970	+	0.941157i	$0.390260\pi$
$930$	2.70042	+	3.11645i	0.0885504	+	0.102193i
$931$	7.39662	−	4.75352i	0.242414	−	0.155790i
$932$	−36.6754	+	23.5698i	−1.20134	+	0.772055i
$933$	−0.304632	−	0.351564i	−0.00997321	−	0.0115097i
$934$	−12.9264	+	3.79554i	−0.422966	+	0.124194i
$935$	−0.162700	+	1.13160i	−0.00532084	+	0.0370073i
$936$	−6.71459	+	7.74904i	−0.219473	+	0.253285i
$937$	−14.0160	+	30.6909i	−0.457884	+	1.00263i	0.530081	+	0.847947i	$0.322162\pi$
$937$	−14.0160	+	30.6909i	−0.457884	+	1.00263i	−0.987965	+	0.154679i	$0.950566\pi$
$938$	19.3725	+	5.68829i	0.632536	+	0.185729i
$939$	26.9726	+	59.0617i	0.880217	+	1.92741i
$940$	0.940679	+	6.54256i	0.0306816	+	0.213395i
$941$	27.2088	+	17.4860i	0.886981	+	0.570028i	0.902903	−	0.429845i	$-0.141432\pi$
$941$	27.2088	+	17.4860i	0.886981	+	0.570028i	−0.0159219	+	0.999873i	$0.505068\pi$
$942$	−18.9981			−0.618993
$943$		0			0
$944$	0.165277			0.00537930
$945$	−18.6963	−	12.0154i	−0.608190	−	0.390860i
$946$	−0.0414533	−	0.288314i	−0.00134776	−	0.00937390i
$947$	16.3675	+	35.8399i	0.531874	+	1.16464i	0.964745	+	0.263185i	$0.0847731\pi$
$947$	16.3675	+	35.8399i	0.531874	+	1.16464i	−0.432872	+	0.901456i	$0.642500\pi$
$948$	−44.8099	−	13.1574i	−1.45536	−	0.427331i
$949$	0.849297	−	1.85970i	0.0275693	−	0.0603685i
$950$	−1.04982	+	1.21156i	−0.0340607	+	0.0393081i
$951$	−8.23897	+	57.3033i	−0.267167	+	1.85819i
$952$	11.3431	−	3.33063i	0.367632	−	0.107946i
$953$	20.3574	+	23.4936i	0.659439	+	0.761034i	0.982686	−	0.185281i	$-0.0593196\pi$
$953$	20.3574	+	23.4936i	0.659439	+	0.761034i	−0.323246	+	0.946315i	$0.604774\pi$
$954$	6.41584	−	4.12321i	0.207720	−	0.133494i
$955$	28.5683	−	18.3597i	0.924448	−	0.594107i
$956$	0.272347	+	0.314306i	0.00880834	+	0.0101654i
$957$	3.12999	−	0.919049i	0.101178	−	0.0297086i
$958$	1.62516	−	11.3032i	0.0525065	−	0.365191i
$959$	−25.8520	+	29.8348i	−0.834806	+	0.963418i
$960$	7.14801	−	15.6520i	0.230701	−	0.505165i
$961$	27.5676	+	8.09456i	0.889276	+	0.261115i
$962$	4.10796	+	8.99518i	0.132446	+	0.290016i
$963$	0.341537	+	2.37544i	0.0110059	+	0.0765475i
$964$	−7.84667	−	5.04275i	−0.252724	−	0.162416i
$965$	−24.3446			−0.783679
$966$		0			0
$967$	33.5947			1.08033			0.540167	−	0.841558i	$-0.318361\pi$
$967$	33.5947			1.08033			0.540167	+	0.841558i	$0.318361\pi$
$968$	16.6305	+	10.6877i	0.534523	+	0.343517i
$969$	1.16878	+	8.12901i	0.0375465	+	0.261141i
$970$	0.205705	+	0.450431i	0.00660478	+	0.0144625i
$971$	11.8399	+	3.47650i	0.379960	+	0.111566i	0.466135	−	0.884714i	$-0.345646\pi$
$971$	11.8399	+	3.47650i	0.379960	+	0.111566i	−0.0861748	+	0.996280i	$0.527464\pi$
$972$	12.4664	−	27.2976i	0.399860	−	0.875572i
$973$	−38.5211	+	44.4557i	−1.23493	+	1.42518i
$974$	−1.17212	+	8.15227i	−0.0375572	+	0.261216i
$975$	11.1955	−	3.28730i	0.358544	−	0.105278i
$976$	0.0778746	+	0.0898720i	0.00249270	+	0.00287673i
$977$	38.0479	−	24.4519i	1.21726	−	0.782286i	0.235402	−	0.971898i	$-0.424359\pi$
$977$	38.0479	−	24.4519i	1.21726	−	0.782286i	0.981859	+	0.189612i	$0.0607230\pi$
$978$	13.2324	−	8.50393i	0.423125	−	0.271926i
$979$	2.41429	+	2.78623i	0.0771609	+	0.0890484i
$980$	−20.0353	+	5.88288i	−0.640003	+	0.187922i
$981$	−1.87055	+	13.0099i	−0.0597219	+	0.415375i
$982$	10.7106	−	12.3607i	0.341789	−	0.394445i
$983$	−6.34237	+	13.8878i	−0.202290	+	0.442954i	−0.983403	−	0.181437i	$-0.941925\pi$
$983$	−6.34237	+	13.8878i	−0.202290	+	0.442954i	0.781113	+	0.624390i	$0.214652\pi$
$984$	30.7983	+	9.04321i	0.981815	+	0.288287i
$985$	11.1684	+	24.4554i	0.355855	+	0.779214i
$986$	−0.849963	−	5.91162i	−0.0270683	−	0.188264i
$987$	9.06352	+	5.82477i	0.288495	+	0.185405i
$988$	10.4788			0.333374
$989$		0			0
$990$	−0.527358			−0.0167605
$991$	16.6149	+	10.6778i	0.527791	+	0.339191i	0.777247	−	0.629195i	$-0.216616\pi$
$991$	16.6149	+	10.6778i	0.527791	+	0.339191i	−0.249456	+	0.968386i	$0.580252\pi$
$992$	−1.04889	−	7.29519i	−0.0333023	−	0.231623i
$993$	20.8326	+	45.6169i	0.661101	+	1.44761i
$994$	−13.0156	−	3.82173i	−0.412830	−	0.121218i
$995$	−11.0539	+	24.2046i	−0.350431	+	0.767337i
$996$	−0.921229	+	1.06316i	−0.0291903	+	0.0336874i
$997$	−1.74325	+	12.1246i	−0.0552092	+	0.383988i	0.943418	+	0.331606i	$0.107591\pi$
$997$	−1.74325	+	12.1246i	−0.0552092	+	0.383988i	−0.998627	+	0.0523823i	$0.983319\pi$
$998$	−14.0467	+	4.12447i	−0.444639	+	0.130558i
$999$	−11.1427	−	12.8594i	−0.352541	−	0.406854i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	529.2.c.d.255.1		10
23.2	even	11		529.2.c.i.399.1		10
23.3	even	11		529.2.c.g.501.1		10
23.4	even	11		529.2.c.g.170.1		10
23.5	odd	22		529.2.c.a.487.1		10
23.6	even	11		529.2.c.i.118.1		10
23.7	odd	22		529.2.c.a.466.1		10
23.8	even	11		529.2.c.b.266.1		10
23.9	even	11		529.2.a.i.1.3		5
23.10	odd	22		529.2.c.c.177.1		10
23.11	odd	22		529.2.c.e.334.1		10
23.12	even	11	inner	529.2.c.d.334.1		10
23.13	even	11		529.2.c.b.177.1		10
23.14	odd	22		529.2.a.j.1.3		5
23.15	odd	22		529.2.c.c.266.1		10
23.16	even	11		23.2.c.a.6.1	yes	10
23.17	odd	22		529.2.c.h.118.1		10
23.18	even	11		23.2.c.a.4.1	✓	10
23.19	odd	22		529.2.c.f.170.1		10
23.20	odd	22		529.2.c.f.501.1		10
23.21	odd	22		529.2.c.h.399.1		10
23.22	odd	2		529.2.c.e.255.1		10
69.14	even	22		4761.2.a.bn.1.3		5
69.32	odd	22		4761.2.a.bo.1.3		5
69.41	odd	22		207.2.i.c.73.1		10
69.62	odd	22		207.2.i.c.190.1		10
92.39	odd	22		368.2.m.c.305.1		10
92.55	odd	22		8464.2.a.bs.1.1		5
92.83	even	22		8464.2.a.bt.1.1		5
92.87	odd	22		368.2.m.c.257.1		10
115.18	odd	44		575.2.p.b.349.2		20
115.39	even	22		575.2.k.b.351.1		10
115.62	odd	44		575.2.p.b.374.2		20
115.64	even	22		575.2.k.b.326.1		10
115.87	odd	44		575.2.p.b.349.1		20
115.108	odd	44		575.2.p.b.374.1		20

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
23.2.c.a.4.1	✓	10	23.18	even	11
23.2.c.a.6.1	yes	10	23.16	even	11
207.2.i.c.73.1		10	69.41	odd	22
207.2.i.c.190.1		10	69.62	odd	22
368.2.m.c.257.1		10	92.87	odd	22
368.2.m.c.305.1		10	92.39	odd	22
529.2.a.i.1.3		5	23.9	even	11
529.2.a.j.1.3		5	23.14	odd	22
529.2.c.a.466.1		10	23.7	odd	22
529.2.c.a.487.1		10	23.5	odd	22
529.2.c.b.177.1		10	23.13	even	11
529.2.c.b.266.1		10	23.8	even	11
529.2.c.c.177.1		10	23.10	odd	22
529.2.c.c.266.1		10	23.15	odd	22
529.2.c.d.255.1		10	1.1	even	1	trivial
529.2.c.d.334.1		10	23.12	even	11	inner
529.2.c.e.255.1		10	23.22	odd	2
529.2.c.e.334.1		10	23.11	odd	22
529.2.c.f.170.1		10	23.19	odd	22
529.2.c.f.501.1		10	23.20	odd	22
529.2.c.g.170.1		10	23.4	even	11
529.2.c.g.501.1		10	23.3	even	11
529.2.c.h.118.1		10	23.17	odd	22
529.2.c.h.399.1		10	23.21	odd	22
529.2.c.i.118.1		10	23.6	even	11
529.2.c.i.399.1		10	23.2	even	11
575.2.k.b.326.1		10	115.64	even	22
575.2.k.b.351.1		10	115.39	even	22
575.2.p.b.349.1		20	115.87	odd	44
575.2.p.b.349.2		20	115.18	odd	44
575.2.p.b.374.1		20	115.108	odd	44
575.2.p.b.374.2		20	115.62	odd	44
4761.2.a.bn.1.3		5	69.14	even	22
4761.2.a.bo.1.3		5	69.32	odd	22
8464.2.a.bs.1.1		5	92.55	odd	22
8464.2.a.bt.1.1		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+(0.402869 + 0.258908i) q^{2} +(-0.313607 - 2.18119i) q^{3} +(-0.735560 - 1.61065i) q^{4} +(2.48926 + 0.730913i) q^{5} +(0.438384 - 0.959928i) q^{6} +(2.22514 - 2.56794i) q^{7} +(0.256983 - 1.78736i) q^{8} +(-1.78074 + 0.522874i) q^{9} +(0.813607 + 0.938953i) q^{10} +(0.192401 - 0.123649i) q^{11} +(-3.28245 + 2.10951i) q^{12} +(2.00357 + 2.31224i) q^{13} +(1.56130 - 0.458439i) q^{14} +(0.813607 - 5.65876i) q^{15} +(-1.75278 + 2.02282i) q^{16} +(-0.800404 + 1.75264i) q^{17} +(-0.852783 - 0.250400i) q^{18} +(0.803526 + 1.75948i) q^{19} +(-0.653755 - 4.54696i) q^{20} +(-6.29898 - 4.04811i) q^{21} +0.109526 q^{22} -3.97915 q^{24} +(1.45592 + 0.935664i) q^{25} +(0.208518 + 1.45027i) q^{26} +(-1.04731 - 2.29328i) q^{27} +(-5.77279 - 1.69504i) q^{28} +(-2.68886 + 5.88778i) q^{29} +(1.79288 - 2.06909i) q^{30} +(-0.214354 + 1.49086i) q^{31} +(-4.69505 + 1.37859i) q^{32} +(-0.330039 - 0.380885i) q^{33} +(-0.776231 + 0.498853i) q^{34} +(7.41589 - 4.76590i) q^{35} +(2.15201 + 2.48355i) q^{36} +(6.47580 - 1.90147i) q^{37} +(-0.131827 + 0.916879i) q^{38} +(4.41510 - 5.09530i) q^{39} +(1.94610 - 4.26137i) q^{40} +(-7.73992 - 2.27265i) q^{41} +(-1.48958 - 3.26172i) q^{42} +(-0.378479 - 2.63238i) q^{43} +(-0.340677 - 0.218940i) q^{44} -4.81491 q^{45} -1.43889 q^{47} +(4.96183 + 3.18877i) q^{48} +(-0.646902 - 4.49930i) q^{49} +(0.344295 + 0.753900i) q^{50} +(4.07385 + 1.19619i) q^{51} +(2.25047 - 4.92785i) q^{52} +(-5.61926 + 6.48497i) q^{53} +(0.171822 - 1.19505i) q^{54} +(0.569313 - 0.167165i) q^{55} +(-4.01801 - 4.63704i) q^{56} +(3.58576 - 2.30442i) q^{57} +(-2.60765 + 1.67584i) q^{58} +(-0.0404373 - 0.0466671i) q^{59} +(-9.71275 + 2.85192i) q^{60} +(0.00632292 - 0.0439769i) q^{61} +(-0.472354 + 0.545125i) q^{62} +(-2.61969 + 5.73632i) q^{63} +(2.88789 + 0.847960i) q^{64} +(3.29736 + 7.22022i) q^{65} +(-0.0343481 - 0.238897i) q^{66} +(10.4382 + 6.70824i) q^{67} +3.41164 q^{68} +4.22157 q^{70} +(-7.01302 - 4.50700i) q^{71} +(0.476941 + 3.31720i) q^{72} +(-0.277590 - 0.607837i) q^{73} +(3.10120 + 0.910596i) q^{74} +(1.58427 - 3.46907i) q^{75} +(2.24286 - 2.58840i) q^{76} +(0.110596 - 0.769210i) q^{77} +(3.09792 - 0.909632i) q^{78} +(7.83807 + 9.04561i) q^{79} +(-5.84164 + 3.75419i) q^{80} +(-9.35753 + 6.01372i) q^{81} +(-2.52977 - 2.91951i) q^{82} +(0.345930 - 0.101574i) q^{83} +(-1.88682 + 13.1231i) q^{84} +(-3.27344 + 3.77775i) q^{85} +(0.529067 - 1.15850i) q^{86} +(13.6856 + 4.01845i) q^{87} +(-0.171560 - 0.375665i) q^{88} +(2.29409 + 15.9557i) q^{89} +(-1.93978 - 1.24662i) q^{90} +10.3959 q^{91} +3.31908 q^{93} +(-0.579683 - 0.372540i) q^{94} +(0.714162 + 4.96711i) q^{95} +(4.47937 + 9.80845i) q^{96} +(0.382418 + 0.112288i) q^{97} +(0.904290 - 1.98012i) q^{98} +(-0.277964 + 0.320788i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 10 q + 4 q^{2} - 7 q^{3} + 8 q^{4} - 3 q^{5} - 5 q^{6} + 6 q^{7} + 15 q^{8} - 2 q^{9} + 12 q^{10} + 7 q^{11} - 10 q^{12} + 8 q^{13} - 2 q^{14} + 12 q^{15} + 12 q^{16} + q^{17} - 3 q^{18} + 2 q^{19} + 2 q^{20}+ \cdots + 25 q^{99}+O(q^{100}) \) 10 * q + 4 * q^2 - 7 * q^3 + 8 * q^4 - 3 * q^5 - 5 * q^6 + 6 * q^7 + 15 * q^8 - 2 * q^9 + 12 * q^10 + 7 * q^11 - 10 * q^12 + 8 * q^13 - 2 * q^14 + 12 * q^15 + 12 * q^16 + q^17 - 3 * q^18 + 2 * q^19 + 2 * q^20 - 24 * q^21 - 6 * q^22 - 38 * q^24 + 18 * q^25 - 10 * q^26 - 4 * q^27 - 26 * q^28 - 8 * q^29 - 4 * q^30 - 12 * q^31 - 23 * q^32 - 17 * q^33 - 26 * q^34 + 18 * q^35 - 6 * q^36 + 25 * q^37 - 52 * q^38 + 12 * q^39 + 12 * q^40 - 26 * q^41 - 14 * q^42 + 22 * q^43 + 32 * q^44 - 6 * q^45 - 18 * q^47 - 15 * q^48 + 15 * q^49 + 5 * q^50 + 18 * q^51 + 13 * q^52 - 48 * q^53 - 17 * q^54 + 32 * q^55 - 2 * q^56 - 8 * q^57 - q^58 + q^59 - 8 * q^60 + 36 * q^61 - 18 * q^62 - 21 * q^63 + 13 * q^64 + 13 * q^65 + 2 * q^66 - 10 * q^67 - 30 * q^68 + 38 * q^70 - 14 * q^71 - 3 * q^72 - 3 * q^73 + 32 * q^74 - 6 * q^75 + 50 * q^76 + 13 * q^77 + 7 * q^78 + 18 * q^79 + 14 * q^80 + 11 * q^81 - 6 * q^82 - 15 * q^83 + 16 * q^84 - 19 * q^85 + 22 * q^86 + 10 * q^87 + 16 * q^88 - 19 * q^89 + 24 * q^90 - 4 * q^91 + 4 * q^93 - 5 * q^94 + 28 * q^95 - 7 * q^96 + 21 * q^97 + 39 * q^98 + 25 * q^99

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