LMFDB - Embedded newform 430.2.k.c.121.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [430,2,Mod(11,430)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(430, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([0, 10]))

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

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

chi := DirichletCharacter("430.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 430 = 2 \cdot 5 \cdot 43 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	430.k (of order $7$, degree $6$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

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

Self dual:	no
Analytic conductor:	$3.43356728692$
Analytic rank:	$0$
Dimension:	$18$
Relative dimension:	$3$ over $\Q(\zeta_{7})$
Coefficient field:	$\mathbb{Q}[x]/(x^{18} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{18} - 5 x^{17} + 20 x^{16} - 61 x^{15} + 142 x^{14} - 195 x^{13} + 244 x^{12} + 320 x^{11} + \cdots + 49 $ x^18 - 5x^17 + 20x^16 - 61x^15 + 142x^14 - 195x^13 + 244x^12 + 320x^11 + 64x^10 - 562x^9 + 4114x^8 - 1933x^7 + 2941x^6 - 2555x^5 + 2807x^4 - 2366x^3 + 1225x^2 - 343*x + 49
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			121.1
Root			$-0.635189 - 2.78294i$ of defining polynomial
Character	$\chi$	$=$	430.121
Dual form			430.2.k.c.231.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.222521 - 0.974928i) q^{2} +(-0.635189 - 2.78294i) q^{3} +(-0.900969 - 0.433884i) q^{4} +(0.623490 - 0.781831i) q^{5} -2.85451 q^{6} -1.93646 q^{7} +(-0.623490 + 0.781831i) q^{8} +(-4.63840 + 2.23374i) q^{9} +O(q^{10})$	\(q+(0.222521 - 0.974928i) q^{2} +(-0.635189 - 2.78294i) q^{3} +(-0.900969 - 0.433884i) q^{4} +(0.623490 - 0.781831i) q^{5} -2.85451 q^{6} -1.93646 q^{7} +(-0.623490 + 0.781831i) q^{8} +(-4.63840 + 2.23374i) q^{9} +(-0.623490 - 0.781831i) q^{10} +(-1.80707 + 0.870238i) q^{11} +(-0.635189 + 2.78294i) q^{12} +(1.61142 - 2.02065i) q^{13} +(-0.430902 + 1.88790i) q^{14} +(-2.57183 - 1.23853i) q^{15} +(0.623490 + 0.781831i) q^{16} +(0.243836 + 0.305761i) q^{17} +(1.14559 + 5.01916i) q^{18} +(-3.37627 - 1.62593i) q^{19} +(-0.900969 + 0.433884i) q^{20} +(1.23001 + 5.38905i) q^{21} +(0.446309 + 1.95541i) q^{22} +(3.78084 - 1.82076i) q^{23} +(2.57183 + 1.23853i) q^{24} +(-0.222521 - 0.974928i) q^{25} +(-1.61142 - 2.02065i) q^{26} +(3.82335 + 4.79433i) q^{27} +(1.74469 + 0.840197i) q^{28} +(0.974370 - 4.26900i) q^{29} +(-1.77976 + 2.23175i) q^{30} +(-0.607127 + 2.66000i) q^{31} +(0.900969 - 0.433884i) q^{32} +(3.56965 + 4.47620i) q^{33} +(0.352353 - 0.169684i) q^{34} +(-1.20736 + 1.51398i) q^{35} +5.14824 q^{36} +7.06759 q^{37} +(-2.33645 + 2.92982i) q^{38} +(-6.64691 - 3.20098i) q^{39} +(0.222521 + 0.974928i) q^{40} +(-0.806660 + 3.53421i) q^{41} +5.52764 q^{42} +(-4.79142 - 4.47687i) q^{43} +2.00569 q^{44} +(-1.14559 + 5.01916i) q^{45} +(-0.933791 - 4.09121i) q^{46} +(-6.54512 - 3.15196i) q^{47} +(1.77976 - 2.23175i) q^{48} -3.25014 q^{49} -1.00000 q^{50} +(0.696033 - 0.872797i) q^{51} +(-2.32856 + 1.12138i) q^{52} +(1.66793 + 2.09151i) q^{53} +(5.52490 - 2.66065i) q^{54} +(-0.446309 + 1.95541i) q^{55} +(1.20736 - 1.51398i) q^{56} +(-2.38029 + 10.4287i) q^{57} +(-3.94515 - 1.89988i) q^{58} +(-5.04638 - 6.32796i) q^{59} +(1.77976 + 2.23175i) q^{60} +(-0.817160 - 3.58021i) q^{61} +(2.45821 + 1.18381i) q^{62} +(8.98206 - 4.32553i) q^{63} +(-0.222521 - 0.974928i) q^{64} +(-0.575108 - 2.51971i) q^{65} +(5.15829 - 2.48410i) q^{66} +(13.8985 + 6.69318i) q^{67} +(-0.0870240 - 0.381277i) q^{68} +(-7.46862 - 9.36535i) q^{69} +(1.20736 + 1.51398i) q^{70} +(-12.8580 - 6.19210i) q^{71} +(1.14559 - 5.01916i) q^{72} +(4.36421 - 5.47254i) q^{73} +(1.57269 - 6.89039i) q^{74} +(-2.57183 + 1.23853i) q^{75} +(2.33645 + 2.92982i) q^{76} +(3.49931 - 1.68518i) q^{77} +(-4.59981 + 5.76797i) q^{78} +11.3440 q^{79} +1.00000 q^{80} +(1.28417 - 1.61030i) q^{81} +(3.26610 + 1.57287i) q^{82} +(-3.46829 - 15.1956i) q^{83} +(1.23001 - 5.38905i) q^{84} +0.391083 q^{85} +(-5.43081 + 3.67509i) q^{86} -12.4993 q^{87} +(0.446309 - 1.95541i) q^{88} +(-2.52453 - 11.0607i) q^{89} +(4.63840 + 2.23374i) q^{90} +(-3.12043 + 3.91290i) q^{91} -4.19642 q^{92} +7.78826 q^{93} +(-4.52936 + 5.67964i) q^{94} +(-3.37627 + 1.62593i) q^{95} +(-1.77976 - 2.23175i) q^{96} +(1.68052 - 0.809296i) q^{97} +(-0.723224 + 3.16865i) q^{98} +(6.43802 - 8.07303i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 18 q + 3 q^{2} + 5 q^{3} - 3 q^{4} - 3 q^{5} + 2 q^{6} + 8 q^{7} + 3 q^{8} - 6 q^{9}+O(q^{10}) $ 18 * q + 3 * q^2 + 5 * q^3 - 3 * q^4 - 3 * q^5 + 2 * q^6 + 8 * q^7 + 3 * q^8 - 6 * q^9	\( 18 q + 3 q^{2} + 5 q^{3} - 3 q^{4} - 3 q^{5} + 2 q^{6} + 8 q^{7} + 3 q^{8} - 6 q^{9} + 3 q^{10} + 5 q^{11} + 5 q^{12} + 22 q^{13} - 8 q^{14} - 2 q^{15} - 3 q^{16} + q^{17} + 13 q^{18} - 7 q^{19} - 3 q^{20} + 10 q^{21} - 5 q^{22} + 8 q^{23} + 2 q^{24} - 3 q^{25} - 22 q^{26} + 20 q^{27} + q^{28} - 6 q^{29} + 2 q^{30} - 5 q^{31} + 3 q^{32} + 39 q^{33} - q^{34} - 13 q^{35} + 8 q^{36} - 18 q^{37} - 7 q^{39} + 3 q^{40} + 16 q^{41} + 4 q^{42} - 13 q^{43} - 2 q^{44} - 13 q^{45} - 8 q^{46} - 36 q^{47} - 2 q^{48} - 14 q^{49} - 18 q^{50} - 30 q^{51} - 20 q^{52} - 18 q^{53} + 29 q^{54} + 5 q^{55} + 13 q^{56} + 29 q^{57} - 8 q^{58} - 4 q^{59} - 2 q^{60} + 42 q^{61} - 2 q^{62} - 29 q^{63} - 3 q^{64} + 8 q^{65} + 24 q^{66} - 19 q^{67} + q^{68} - 51 q^{69} + 13 q^{70} - 27 q^{71} + 13 q^{72} + 28 q^{73} + 4 q^{74} - 2 q^{75} + 42 q^{77} - 35 q^{78} - 26 q^{79} + 18 q^{80} - 4 q^{81} + 19 q^{82} + 62 q^{83} + 10 q^{84} - 6 q^{85} - 15 q^{86} - 66 q^{87} - 5 q^{88} - 12 q^{89} + 6 q^{90} - 22 q^{91} - 20 q^{92} - 6 q^{93} - 6 q^{94} - 7 q^{95} + 2 q^{96} + 71 q^{97} - 28 q^{98} + 59 q^{99}+O(q^{100}) \) 18 * q + 3 * q^2 + 5 * q^3 - 3 * q^4 - 3 * q^5 + 2 * q^6 + 8 * q^7 + 3 * q^8 - 6 * q^9 + 3 * q^10 + 5 * q^11 + 5 * q^12 + 22 * q^13 - 8 * q^14 - 2 * q^15 - 3 * q^16 + q^17 + 13 * q^18 - 7 * q^19 - 3 * q^20 + 10 * q^21 - 5 * q^22 + 8 * q^23 + 2 * q^24 - 3 * q^25 - 22 * q^26 + 20 * q^27 + q^28 - 6 * q^29 + 2 * q^30 - 5 * q^31 + 3 * q^32 + 39 * q^33 - q^34 - 13 * q^35 + 8 * q^36 - 18 * q^37 - 7 * q^39 + 3 * q^40 + 16 * q^41 + 4 * q^42 - 13 * q^43 - 2 * q^44 - 13 * q^45 - 8 * q^46 - 36 * q^47 - 2 * q^48 - 14 * q^49 - 18 * q^50 - 30 * q^51 - 20 * q^52 - 18 * q^53 + 29 * q^54 + 5 * q^55 + 13 * q^56 + 29 * q^57 - 8 * q^58 - 4 * q^59 - 2 * q^60 + 42 * q^61 - 2 * q^62 - 29 * q^63 - 3 * q^64 + 8 * q^65 + 24 * q^66 - 19 * q^67 + q^68 - 51 * q^69 + 13 * q^70 - 27 * q^71 + 13 * q^72 + 28 * q^73 + 4 * q^74 - 2 * q^75 + 42 * q^77 - 35 * q^78 - 26 * q^79 + 18 * q^80 - 4 * q^81 + 19 * q^82 + 62 * q^83 + 10 * q^84 - 6 * q^85 - 15 * q^86 - 66 * q^87 - 5 * q^88 - 12 * q^89 + 6 * q^90 - 22 * q^91 - 20 * q^92 - 6 * q^93 - 6 * q^94 - 7 * q^95 + 2 * q^96 + 71 * q^97 - 28 * q^98 + 59 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/430\mathbb{Z}\right)^\times$.

$n$	$87$	$261$
$\chi(n)$	$1$	$e\left(\frac{3}{7}\right)$

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 $

$2$	0.222521	−	0.974928i	0.157346	−	0.689378i
$2$	0.222521	−	0.974928i	0.157346	−	0.689378i
$3$	−0.635189	−	2.78294i	−0.366726	−	1.60673i	−0.735710	−	0.677297i	$-0.763151\pi$
$3$	−0.635189	−	2.78294i	−0.366726	−	1.60673i	0.368983	−	0.929436i	$-0.379706\pi$
$4$	−0.900969	−	0.433884i	−0.450484	−	0.216942i
$5$	0.623490	−	0.781831i	0.278833	−	0.349646i
$5$	0.623490	−	0.781831i	0.278833	−	0.349646i
$6$	−2.85451			−1.16535
$7$	−1.93646			−0.731911			−0.365956	−	0.930632i	$-0.619258\pi$
$7$	−1.93646			−0.731911			−0.365956	+	0.930632i	$0.619258\pi$
$8$	−0.623490	+	0.781831i	−0.220437	+	0.276419i
$9$	−4.63840	+	2.23374i	−1.54613	+	0.744579i
$10$	−0.623490	−	0.781831i	−0.197165	−	0.247237i
$11$	−1.80707	+	0.870238i	−0.544851	+	0.262387i	−0.686000	−	0.727602i	$-0.740635\pi$
$11$	−1.80707	+	0.870238i	−0.544851	+	0.262387i	0.141148	+	0.989988i	$0.454921\pi$
$12$	−0.635189	+	2.78294i	−0.183363	+	0.803367i
$13$	1.61142	−	2.02065i	0.446926	−	0.560428i	−0.506428	−	0.862282i	$-0.669034\pi$
$13$	1.61142	−	2.02065i	0.446926	−	0.560428i	0.953354	+	0.301855i	$0.0976057\pi$
$14$	−0.430902	+	1.88790i	−0.115163	+	0.504564i
$15$	−2.57183	−	1.23853i	−0.664043	−	0.319786i
$16$	0.623490	+	0.781831i	0.155872	+	0.195458i
$17$	0.243836	+	0.305761i	0.0591389	+	0.0741578i	0.810521	−	0.585709i	$-0.199184\pi$
$17$	0.243836	+	0.305761i	0.0591389	+	0.0741578i	−0.751382	+	0.659867i	$0.770613\pi$
$18$	1.14559	+	5.01916i	0.270018	+	1.18303i
$19$	−3.37627	−	1.62593i	−0.774569	−	0.373013i	0.00446838	−	0.999990i	$-0.498578\pi$
$19$	−3.37627	−	1.62593i	−0.774569	−	0.373013i	−0.779038	+	0.626977i	$0.784292\pi$
$20$	−0.900969	+	0.433884i	−0.201463	+	0.0970194i
$21$	1.23001	+	5.38905i	0.268411	+	1.17599i
$22$	0.446309	+	1.95541i	0.0951533	+	0.416894i
$23$	3.78084	−	1.82076i	0.788360	−	0.379654i	0.00402547	−	0.999992i	$-0.498719\pi$
$23$	3.78084	−	1.82076i	0.788360	−	0.379654i	0.784335	+	0.620338i	$0.213004\pi$
$24$	2.57183	+	1.23853i	0.524972	+	0.252813i
$25$	−0.222521	−	0.974928i	−0.0445042	−	0.194986i
$26$	−1.61142	−	2.02065i	−0.316025	−	0.396282i
$27$	3.82335	+	4.79433i	0.735804	+	0.922669i
$28$	1.74469	+	0.840197i	0.329715	+	0.158782i
$29$	0.974370	−	4.26900i	0.180936	−	0.792733i	−0.800250	−	0.599667i	$-0.795300\pi$
$29$	0.974370	−	4.26900i	0.180936	−	0.792733i	0.981186	−	0.193066i	$-0.0618431\pi$
$30$	−1.77976	+	2.23175i	−0.324938	+	0.407459i
$31$	−0.607127	+	2.66000i	−0.109043	+	0.477750i	0.890689	+	0.454613i	$0.150222\pi$
$31$	−0.607127	+	2.66000i	−0.109043	+	0.477750i	−0.999732	+	0.0231366i	$0.992635\pi$
$32$	0.900969	−	0.433884i	0.159270	−	0.0767005i
$33$	3.56965	+	4.47620i	0.621396	+	0.779206i
$34$	0.352353	−	0.169684i	0.0604281	−	0.0291006i
$35$	−1.20736	+	1.51398i	−0.204081	+	0.255910i
$36$	5.14824			0.858040
$37$	7.06759			1.16191			0.580953	−	0.813937i	$-0.302680\pi$
$37$	7.06759			1.16191			0.580953	+	0.813937i	$0.302680\pi$
$38$	−2.33645	+	2.92982i	−0.379022	+	0.475279i
$39$	−6.64691	−	3.20098i	−1.06436	−	0.512568i
$40$	0.222521	+	0.974928i	0.0351836	+	0.154150i
$41$	−0.806660	+	3.53421i	−0.125979	+	0.551951i	0.872062	+	0.489395i	$0.162782\pi$
$41$	−0.806660	+	3.53421i	−0.125979	+	0.551951i	−0.998041	+	0.0625559i	$0.980075\pi$
$42$	5.52764			0.852933
$43$	−4.79142	−	4.47687i	−0.730684	−	0.682716i
$43$	−4.79142	−	4.47687i	−0.730684	−	0.682716i
$44$	2.00569			0.302370
$45$	−1.14559	+	5.01916i	−0.170775	+	0.748213i
$46$	−0.933791	−	4.09121i	−0.137680	−	0.603216i
$47$	−6.54512	−	3.15196i	−0.954704	−	0.459761i	−0.109371	−	0.994001i	$-0.534884\pi$
$47$	−6.54512	−	3.15196i	−0.954704	−	0.459761i	−0.845333	+	0.534240i	$0.820598\pi$
$48$	1.77976	−	2.23175i	0.256886	−	0.322125i
$49$	−3.25014			−0.464306
$50$	−1.00000			−0.141421
$51$	0.696033	−	0.872797i	0.0974641	−	0.122216i
$52$	−2.32856	+	1.12138i	−0.322914	+	0.155507i
$53$	1.66793	+	2.09151i	0.229107	+	0.287291i	0.883076	−	0.469230i	$-0.155469\pi$
$53$	1.66793	+	2.09151i	0.229107	+	0.287291i	−0.653969	+	0.756522i	$0.726897\pi$
$54$	5.52490	−	2.66065i	0.751844	−	0.362069i
$55$	−0.446309	+	1.95541i	−0.0601803	+	0.263667i
$56$	1.20736	−	1.51398i	0.161340	−	0.202314i
$57$	−2.38029	+	10.4287i	−0.315277	+	1.38132i
$58$	−3.94515	−	1.89988i	−0.518023	−	0.249467i
$59$	−5.04638	−	6.32796i	−0.656982	−	0.823830i	0.336029	−	0.941852i	$-0.390916\pi$
$59$	−5.04638	−	6.32796i	−0.656982	−	0.823830i	−0.993011	+	0.118022i	$0.962345\pi$
$60$	1.77976	+	2.23175i	0.229766	+	0.288117i
$61$	−0.817160	−	3.58021i	−0.104627	−	0.458399i	−0.999917	−	0.0129154i	$-0.995889\pi$
$61$	−0.817160	−	3.58021i	−0.104627	−	0.458399i	0.895290	−	0.445484i	$-0.146968\pi$
$62$	2.45821	+	1.18381i	0.312193	+	0.150344i
$63$	8.98206	−	4.32553i	1.13163	−	0.544966i
$64$	−0.222521	−	0.974928i	−0.0278151	−	0.121866i
$65$	−0.575108	−	2.51971i	−0.0713333	−	0.312532i
$66$	5.15829	−	2.48410i	0.634942	−	0.305772i
$67$	13.8985	+	6.69318i	1.69798	+	0.817702i	0.994232	+	0.107249i	$0.0342043\pi$
$67$	13.8985	+	6.69318i	1.69798	+	0.817702i	0.703744	+	0.710453i	$0.251510\pi$
$68$	−0.0870240	−	0.381277i	−0.0105532	−	0.0462367i
$69$	−7.46862	−	9.36535i	−0.899116	−	1.12746i
$70$	1.20736	+	1.51398i	0.144307	+	0.180955i
$71$	−12.8580	−	6.19210i	−1.52597	−	0.734867i	−0.532229	−	0.846600i	$-0.678645\pi$
$71$	−12.8580	−	6.19210i	−1.52597	−	0.734867i	−0.993738	+	0.111733i	$0.964360\pi$
$72$	1.14559	−	5.01916i	0.135009	−	0.591514i
$73$	4.36421	−	5.47254i	0.510792	−	0.640513i	−0.457833	−	0.889038i	$-0.651374\pi$
$73$	4.36421	−	5.47254i	0.510792	−	0.640513i	0.968625	+	0.248525i	$0.0799458\pi$
$74$	1.57269	−	6.89039i	0.182821	−	0.800992i
$75$	−2.57183	+	1.23853i	−0.296969	+	0.143013i
$76$	2.33645	+	2.92982i	0.268009	+	0.336073i
$77$	3.49931	−	1.68518i	0.398783	−	0.192044i
$78$	−4.59981	+	5.76797i	−0.520825	+	0.653094i
$79$	11.3440			1.27630			0.638152	−	0.769910i	$-0.279699\pi$
$79$	11.3440			1.27630			0.638152	+	0.769910i	$0.279699\pi$
$80$	1.00000			0.111803
$81$	1.28417	−	1.61030i	0.142686	−	0.178922i
$82$	3.26610	+	1.57287i	0.360681	+	0.173695i
$83$	−3.46829	−	15.1956i	−0.380694	−	1.66793i	−0.695310	−	0.718710i	$-0.744733\pi$
$83$	−3.46829	−	15.1956i	−0.380694	−	1.66793i	0.314617	−	0.949219i	$-0.398124\pi$
$84$	1.23001	−	5.38905i	0.134206	−	0.587993i
$85$	0.391083			0.0424189
$86$	−5.43081	+	3.67509i	−0.585620	+	0.396295i
$87$	−12.4993			−1.34006
$88$	0.446309	−	1.95541i	0.0475767	−	0.208447i
$89$	−2.52453	−	11.0607i	−0.267600	−	1.17243i	−0.912797	−	0.408414i	$-0.866082\pi$
$89$	−2.52453	−	11.0607i	−0.267600	−	1.17243i	0.645197	−	0.764016i	$-0.276775\pi$
$90$	4.63840	+	2.23374i	0.488931	+	0.235457i
$91$	−3.12043	+	3.91290i	−0.327110	+	0.410184i
$92$	−4.19642			−0.437507
$93$	7.78826			0.807605
$94$	−4.52936	+	5.67964i	−0.467168	+	0.585811i
$95$	−3.37627	+	1.62593i	−0.346398	+	0.166816i
$96$	−1.77976	−	2.23175i	−0.181646	−	0.227777i
$97$	1.68052	−	0.809296i	0.170631	−	0.0821716i	−0.346619	−	0.938006i	$-0.612670\pi$
$97$	1.68052	−	0.809296i	0.170631	−	0.0821716i	0.517250	+	0.855835i	$0.326956\pi$
$98$	−0.723224	+	3.16865i	−0.0730567	+	0.320082i
$99$	6.43802	−	8.07303i	0.647046	−	0.811370i
$100$	−0.222521	+	0.974928i	−0.0222521	+	0.0974928i
$101$	14.7992	+	7.12694i	1.47258	+	0.709157i	0.986348	−	0.164674i	$-0.0526571\pi$
$101$	14.7992	+	7.12694i	1.47258	+	0.709157i	0.486231	+	0.873830i	$0.338371\pi$
$102$	−0.696033	−	0.872797i	−0.0689175	−	0.0864198i
$103$	−9.36452	−	11.7427i	−0.922714	−	1.15705i	−0.987257	−	0.159131i	$-0.949131\pi$
$103$	−9.36452	−	11.7427i	−0.922714	−	1.15705i	0.0645439	−	0.997915i	$-0.479441\pi$
$104$	0.575108	+	2.51971i	0.0563939	+	0.247078i
$105$	4.98023	+	2.39835i	0.486021	+	0.234055i
$106$	2.41022	−	1.16070i	0.234101	−	0.112737i
$107$	1.65408	+	7.24699i	0.159906	+	0.700593i	0.989775	+	0.142636i	$0.0455577\pi$
$107$	1.65408	+	7.24699i	0.159906	+	0.700593i	−0.829869	+	0.557958i	$0.811585\pi$
$108$	−1.36454	−	5.97843i	−0.131303	−	0.575275i
$109$	0.518835	−	0.249858i	0.0496954	−	0.0239320i	−0.408871	−	0.912592i	$-0.634077\pi$
$109$	0.518835	−	0.249858i	0.0496954	−	0.0239320i	0.458566	+	0.888660i	$0.348363\pi$
$110$	1.80707	+	0.870238i	0.172297	+	0.0829739i
$111$	−4.48926	−	19.6687i	−0.426101	−	1.86687i
$112$	−1.20736	−	1.51398i	−0.114085	−	0.143058i
$113$	4.72336	+	5.92290i	0.444336	+	0.557180i	0.952680	−	0.303974i	$-0.0983136\pi$
$113$	4.72336	+	5.92290i	0.444336	+	0.557180i	−0.508344	+	0.861154i	$0.669742\pi$
$114$	9.63760	+	4.64122i	0.902644	+	0.434690i
$115$	0.933791	−	4.09121i	0.0870765	−	0.381507i
$116$	−2.73013	+	3.42347i	−0.253486	+	0.317861i
$117$	−2.96079	+	12.9721i	−0.273725	+	1.19927i
$118$	−7.29223	+	3.51175i	−0.671304	+	0.323283i
$119$	−0.472178	−	0.592092i	−0.0432844	−	0.0542770i
$120$	2.57183	−	1.23853i	0.234775	−	0.113061i
$121$	−4.35021	+	5.45499i	−0.395474	+	0.495908i
$122$	−3.67228			−0.332473
$123$	10.3479			0.933038
$124$	1.70113	−	2.13315i	0.152766	−	0.191563i
$125$	−0.900969	−	0.433884i	−0.0805851	−	0.0388077i
$126$	−2.21839	−	9.71939i	−0.197630	−	0.865872i
$127$	−1.85730	+	8.13736i	−0.164809	+	0.722074i	0.823210	+	0.567738i	$0.192181\pi$
$127$	−1.85730	+	8.13736i	−0.164809	+	0.722074i	−0.988018	+	0.154337i	$0.950676\pi$
$128$	−1.00000			−0.0883883
$129$	−9.41542	+	16.1779i	−0.828981	+	1.42438i
$130$	−2.58451			−0.226676
$131$	3.15642	−	13.8292i	0.275777	−	1.20826i	−0.627299	−	0.778779i	$-0.715840\pi$
$131$	3.15642	−	13.8292i	0.275777	−	1.20826i	0.903076	−	0.429481i	$-0.141303\pi$
$132$	−1.27399	−	5.58173i	−0.110887	−	0.485827i
$133$	6.53800	+	3.14853i	0.566916	+	0.273012i
$134$	9.61809	−	12.0607i	0.830876	−	1.04189i
$135$	6.13218			0.527774
$136$	−0.391083			−0.0335350
$137$	9.54359	−	11.9673i	0.815364	−	1.02243i	−0.183857	−	0.982953i	$-0.558858\pi$
$137$	9.54359	−	11.9673i	0.815364	−	1.02243i	0.999220	−	0.0394806i	$-0.0125703\pi$
$138$	−10.7925	+	5.19738i	−0.918716	+	0.442430i
$139$	9.49364	+	11.9046i	0.805240	+	1.00974i	0.999585	+	0.0288055i	$0.00917034\pi$
$139$	9.49364	+	11.9046i	0.805240	+	1.00974i	−0.194345	+	0.980933i	$0.562258\pi$
$140$	1.74469	−	0.840197i	0.147453	−	0.0710096i
$141$	−4.61435	+	20.2168i	−0.388599	+	1.70256i
$142$	−8.89803	+	11.1578i	−0.746706	+	0.936340i
$143$	−1.15349	+	5.05377i	−0.0964596	+	0.422617i
$144$	−4.63840	−	2.23374i	−0.386534	−	0.186145i
$145$	−2.73013	−	3.42347i	−0.226725	−	0.284304i
$146$	−4.36421	−	5.47254i	−0.361184	−	0.452911i
$147$	2.06445	+	9.04495i	0.170273	+	0.746015i
$148$	−6.36768	−	3.06651i	−0.523420	−	0.252066i
$149$	10.0286	−	4.82951i	0.821574	−	0.395649i	0.0246256	−	0.999697i	$-0.492161\pi$
$149$	10.0286	−	4.82951i	0.821574	−	0.395649i	0.796948	+	0.604048i	$0.206446\pi$
$150$	0.635189	+	2.78294i	0.0518629	+	0.227226i
$151$	2.77883	+	12.1748i	0.226138	+	0.990774i	0.952757	+	0.303734i	$0.0982334\pi$
$151$	2.77883	+	12.1748i	0.226138	+	0.990774i	−0.726619	+	0.687040i	$0.758909\pi$
$152$	3.37627	−	1.62593i	0.273852	−	0.131880i
$153$	−1.81400	−	0.873576i	−0.146653	−	0.0706244i
$154$	−0.864257	−	3.78656i	−0.0696438	−	0.305130i
$155$	1.70113	+	2.13315i	0.136638	+	0.171339i
$156$	4.59981	+	5.76797i	0.368279	+	0.461807i
$157$	5.52792	+	2.66211i	0.441176	+	0.212459i	0.641267	−	0.767318i	$-0.278409\pi$
$157$	5.52792	+	2.66211i	0.441176	+	0.212459i	−0.200090	+	0.979777i	$0.564124\pi$
$158$	2.52429	−	11.0596i	0.200822	−	0.879857i
$159$	4.76111	−	5.97025i	0.377581	−	0.473471i
$160$	0.222521	−	0.974928i	0.0175918	−	0.0770748i
$161$	−7.32144	+	3.52582i	−0.577010	+	0.277873i
$162$	−1.28417	−	1.61030i	−0.100894	−	0.126517i
$163$	−3.67778	+	1.77113i	−0.288066	+	0.138725i	−0.572337	−	0.820019i	$-0.693963\pi$
$163$	−3.67778	+	1.77113i	−0.288066	+	0.138725i	0.284271	+	0.958744i	$0.408249\pi$
$164$	2.26021	−	2.83422i	0.176493	−	0.221315i
$165$	5.72528			0.445712
$166$	−15.5863			−1.20973
$167$	4.67571	−	5.86315i	0.361817	−	0.453704i	−0.567288	−	0.823519i	$-0.692008\pi$
$167$	4.67571	−	5.86315i	0.361817	−	0.453704i	0.929105	+	0.369815i	$0.120579\pi$
$168$	−4.98023	−	2.39835i	−0.384233	−	0.185037i
$169$	1.40640	+	6.16185i	0.108185	+	0.473988i
$170$	0.0870240	−	0.381277i	0.00667444	−	0.0292426i
$171$	19.2924			1.47533
$172$	2.37448	+	6.11244i	0.181052	+	0.466069i
$173$	−16.7387			−1.27262			−0.636310	−	0.771434i	$-0.719540\pi$
$173$	−16.7387			−1.27262			−0.636310	+	0.771434i	$0.719540\pi$
$174$	−2.78135	+	12.1859i	−0.210854	+	0.923811i
$175$	0.430902	+	1.88790i	0.0325731	+	0.142712i
$176$	−1.80707	−	0.870238i	−0.136213	−	0.0655966i
$177$	−14.4049	+	18.0632i	−1.08274	+	1.35772i
$178$	−11.3451			−0.850354
$179$	26.0660			1.94826			0.974131	−	0.225983i	$-0.0725595\pi$
$179$	26.0660			1.94826			0.974131	+	0.225983i	$0.0725595\pi$
$180$	3.20987	−	4.02506i	0.239250	−	0.300010i
$181$	−8.85030	+	4.26208i	−0.657837	+	0.316798i	−0.732855	−	0.680384i	$-0.761813\pi$
$181$	−8.85030	+	4.26208i	−0.657837	+	0.316798i	0.0750180	+	0.997182i	$0.476099\pi$
$182$	3.12043	+	3.91290i	0.231302	+	0.290044i
$183$	−9.44448	+	4.54822i	−0.698156	+	0.336214i
$184$	−0.933791	+	4.09121i	−0.0688400	+	0.301608i
$185$	4.40657	−	5.52567i	0.323978	−	0.406255i
$186$	1.73305	−	7.59299i	0.127073	−	0.556745i
$187$	−0.706712	−	0.340335i	−0.0516799	−	0.0248877i
$188$	4.52936	+	5.67964i	0.330338	+	0.414231i
$189$	−7.40375	−	9.28400i	−0.538543	−	0.675312i
$190$	0.833870	+	3.65342i	0.0604953	+	0.265047i
$191$	−1.60210	−	0.771529i	−0.115924	−	0.0558259i	0.375023	−	0.927015i	$-0.377635\pi$
$191$	−1.60210	−	0.771529i	−0.115924	−	0.0558259i	−0.490947	+	0.871190i	$0.663349\pi$
$192$	−2.57183	+	1.23853i	−0.185606	+	0.0893829i
$193$	−0.239706	−	1.05022i	−0.0172544	−	0.0755966i	0.965568	−	0.260152i	$-0.0837726\pi$
$193$	−0.239706	−	1.05022i	−0.0172544	−	0.0755966i	−0.982822	+	0.184555i	$0.940916\pi$
$194$	−0.415054	−	1.81847i	−0.0297992	−	0.130559i
$195$	−6.64691	+	3.20098i	−0.475995	+	0.229227i
$196$	2.92827	+	1.41018i	0.209162	+	0.100727i
$197$	−3.90369	−	17.1032i	−0.278127	−	1.21855i	−0.900159	−	0.435561i	$-0.856550\pi$
$197$	−3.90369	−	17.1032i	−0.278127	−	1.21855i	0.622032	−	0.782991i	$-0.286307\pi$
$198$	−6.43802	−	8.07303i	−0.457530	−	0.573725i
$199$	5.17531	+	6.48964i	0.366868	+	0.460038i	0.930663	−	0.365876i	$-0.119231\pi$
$199$	5.17531	+	6.48964i	0.366868	+	0.460038i	−0.563795	+	0.825915i	$0.690659\pi$
$200$	0.900969	+	0.433884i	0.0637081	+	0.0306802i
$201$	9.79856	−	42.9303i	0.691137	−	3.02807i
$202$	10.2414	−	12.8423i	0.720582	−	0.903581i
$203$	−1.88683	+	8.26672i	−0.132429	+	0.580210i
$204$	−1.00580	+	0.484366i	−0.0704198	+	0.0339124i
$205$	2.26021	+	2.83422i	0.157860	+	0.197950i
$206$	−13.5321	+	6.51673i	−0.942828	+	0.454042i
$207$	−13.4700	+	16.8908i	−0.936229	+	1.17399i
$208$	2.58451			0.179204
$209$	7.51609			0.519899
$210$	3.44643	−	4.32168i	0.237826	−	0.298224i
$211$	8.40612	+	4.04817i	0.578701	+	0.278688i	0.700250	−	0.713898i	$-0.253072\pi$
$211$	8.40612	+	4.04817i	0.578701	+	0.278688i	−0.121549	+	0.992585i	$0.538786\pi$
$212$	−0.595276	−	2.60807i	−0.0408837	−	0.179123i
$213$	−9.06499	+	39.7163i	−0.621123	+	2.72132i
$214$	7.43336			0.508134
$215$	−6.48755	+	0.954798i	−0.442448	+	0.0651167i
$216$	−6.13218			−0.417242
$217$	1.17567	−	5.15097i	0.0798100	−	0.349670i
$218$	−0.128142	−	0.561425i	−0.00867885	−	0.0380245i
$219$	−18.0019	−	8.66925i	−1.21645	−	0.585814i
$220$	1.25053	−	1.56811i	0.0843107	−	0.105722i
$221$	1.01076			0.0679908
$222$	−20.1745			−1.35403
$223$	10.6556	−	13.3617i	0.713554	−	0.894769i	−0.284400	−	0.958706i	$-0.591794\pi$
$223$	10.6556	−	13.3617i	0.713554	−	0.894769i	0.997954	+	0.0639371i	$0.0203657\pi$
$224$	−1.74469	+	0.840197i	−0.116572	+	0.0561380i
$225$	3.20987	+	4.02506i	0.213992	+	0.268337i
$226$	6.82545	−	3.28696i	0.454022	−	0.218646i
$227$	0.865802	−	3.79333i	0.0574653	−	0.251772i	−0.938034	−	0.346544i	$-0.887355\pi$
$227$	0.865802	−	3.79333i	0.0574653	−	0.251772i	0.995499	+	0.0947722i	$0.0302123\pi$
$228$	6.66943	−	8.36320i	0.441694	−	0.553866i
$229$	−3.62817	+	15.8960i	−0.239756	+	1.05044i	0.701479	+	0.712690i	$0.252523\pi$
$229$	−3.62817	+	15.8960i	−0.239756	+	1.05044i	−0.941236	+	0.337751i	$0.890334\pi$
$230$	−3.78084	−	1.82076i	−0.249301	−	0.120057i
$231$	−6.91247	−	8.66796i	−0.454807	−	0.570310i
$232$	2.73013	+	3.42347i	0.179241	+	0.224762i
$233$	−2.72449	−	11.9368i	−0.178487	−	0.782003i	−0.982329	−	0.187160i	$-0.940072\pi$
$233$	−2.72449	−	11.9368i	−0.178487	−	0.782003i	0.803842	−	0.594842i	$-0.202786\pi$
$234$	11.9880	+	5.77312i	0.783680	+	0.377400i
$235$	−6.54512	+	3.15196i	−0.426957	+	0.205611i
$236$	1.80103	+	7.89083i	0.117237	+	0.513650i
$237$	−7.20561	−	31.5698i	−0.468055	−	2.05068i
$238$	−0.682316	+	0.328586i	−0.0442280	+	0.0212991i
$239$	−3.33031	−	1.60379i	−0.215420	−	0.103741i	0.323062	−	0.946378i	$-0.395288\pi$
$239$	−3.33031	−	1.60379i	−0.215420	−	0.103741i	−0.538482	+	0.842637i	$0.681002\pi$
$240$	−0.635189	−	2.78294i	−0.0410013	−	0.179638i
$241$	9.99918	+	12.5386i	0.644104	+	0.807681i	0.991509	−	0.130034i	$-0.0415087\pi$
$241$	9.99918	+	12.5386i	0.644104	+	0.807681i	−0.347406	+	0.937715i	$0.612937\pi$
$242$	4.35021	+	5.45499i	0.279642	+	0.350660i
$243$	11.2776	+	5.43102i	0.723460	+	0.348400i
$244$	−0.817160	+	3.58021i	−0.0523133	+	0.229200i
$245$	−2.02643	+	2.54106i	−0.129464	+	0.162342i
$246$	2.30262	−	10.0884i	0.146810	−	0.643216i
$247$	−8.72600	+	4.20222i	−0.555222	+	0.267381i
$248$	−1.70113	−	2.13315i	−0.108022	−	0.135455i
$249$	−40.0853	+	19.3041i	−2.54031	+	1.22335i
$250$	−0.623490	+	0.781831i	−0.0394330	+	0.0494474i
$251$	22.6963			1.43258			0.716290	−	0.697803i	$-0.245839\pi$
$251$	22.6963			1.43258			0.716290	+	0.697803i	$0.245839\pi$
$252$	−9.96934			−0.628009
$253$	−5.24775	+	6.58047i	−0.329923	+	0.413710i
$254$	7.52005	+	3.62147i	0.471850	+	0.227231i
$255$	−0.248411	−	1.08836i	−0.0155561	−	0.0681558i
$256$	−0.222521	+	0.974928i	−0.0139076	+	0.0609330i
$257$	12.9922			0.810431			0.405216	−	0.914221i	$-0.367196\pi$
$257$	12.9922			0.810431			0.405216	+	0.914221i	$0.367196\pi$
$258$	13.6772	+	12.7793i	0.851502	+	0.795603i
$259$	−13.6861			−0.850412
$260$	−0.575108	+	2.51971i	−0.0356667	+	0.156266i
$261$	5.01629	+	21.9778i	0.310501	+	1.36039i
$262$	−12.7801	−	6.15456i	−0.789555	−	0.380230i
$263$	−11.6126	+	14.5618i	−0.716067	+	0.897919i	−0.998108	−	0.0614830i	$-0.980417\pi$
$263$	−11.6126	+	14.5618i	−0.716067	+	0.897919i	0.282041	+	0.959402i	$0.408988\pi$
$264$	−5.72528			−0.352366
$265$	2.67514			0.164333
$266$	4.52443	−	5.67346i	0.277411	−	0.347862i
$267$	−29.1777	+	14.0512i	−1.78565	+	0.859922i
$268$	−9.61809	−	12.0607i	−0.587518	−	0.736724i
$269$	−28.9021	+	13.9185i	−1.76219	+	0.848626i	−0.790466	+	0.612505i	$0.790162\pi$
$269$	−28.9021	+	13.9185i	−1.76219	+	0.848626i	−0.971724	+	0.236121i	$0.924124\pi$
$270$	1.36454	−	5.97843i	0.0830431	−	0.363836i
$271$	−0.929689	+	1.16579i	−0.0564746	+	0.0708169i	−0.809267	−	0.587442i	$-0.800135\pi$
$271$	−0.929689	+	1.16579i	−0.0564746	+	0.0708169i	0.752792	+	0.658259i	$0.228707\pi$
$272$	−0.0870240	+	0.381277i	−0.00527661	+	0.0231183i
$273$	12.8714	+	6.19856i	0.779016	+	0.375154i
$274$	−9.54359	−	11.9673i	−0.576549	−	0.722970i
$275$	1.25053	+	1.56811i	0.0754097	+	0.0945608i
$276$	2.66552	+	11.6784i	0.160445	+	0.702957i
$277$	8.49107	+	4.08908i	0.510179	+	0.245689i	0.671220	−	0.741258i	$-0.265771\pi$
$277$	8.49107	+	4.08908i	0.510179	+	0.245689i	−0.161041	+	0.986948i	$0.551485\pi$
$278$	13.7187	−	6.60658i	0.822793	−	0.396236i
$279$	−3.12564	−	13.6943i	−0.187127	−	0.819857i
$280$	−0.430902	−	1.88790i	−0.0257513	−	0.112824i
$281$	0.683796	−	0.329299i	0.0407919	−	0.0196443i	−0.413377	−	0.910560i	$-0.635651\pi$
$281$	0.683796	−	0.329299i	0.0407919	−	0.0196443i	0.454168	+	0.890916i	$0.349936\pi$
$282$	18.6831	+	8.99732i	1.11256	+	0.535783i
$283$	5.82258	+	25.5104i	0.346116	+	1.51643i	0.785913	+	0.618337i	$0.212193\pi$
$283$	5.82258	+	25.5104i	0.346116	+	1.51643i	−0.439797	+	0.898097i	$0.644950\pi$
$284$	8.89803	+	11.1578i	0.528001	+	0.662092i
$285$	6.66943	+	8.36320i	0.395063	+	0.495393i
$286$	4.67038	+	2.24914i	0.276165	+	0.132994i
$287$	1.56206	−	6.84384i	0.0922056	−	0.403979i
$288$	−3.20987	+	4.02506i	−0.189144	+	0.237179i
$289$	3.74882	−	16.4247i	0.220519	−	0.966157i
$290$	−3.94515	+	1.89988i	−0.231667	+	0.111565i
$291$	−3.31967	−	4.16274i	−0.194603	−	0.244024i
$292$	−6.30646	+	3.03703i	−0.369058	+	0.177729i
$293$	−4.26195	+	5.34432i	−0.248986	+	0.312219i	−0.890581	−	0.454825i	$-0.849702\pi$
$293$	−4.26195	+	5.34432i	−0.248986	+	0.312219i	0.641595	+	0.767044i	$0.278273\pi$
$294$	9.27756			0.541078
$295$	−8.09376			−0.471237
$296$	−4.40657	+	5.52567i	−0.256127	+	0.321173i
$297$	−11.0813	−	5.33645i	−0.643000	−	0.309652i
$298$	−2.47686	−	10.8518i	−0.143480	−	0.628629i
$299$	2.41339	−	10.5738i	0.139570	−	0.611497i
$300$	2.85451			0.164805
$301$	9.27836	+	8.66926i	0.534796	+	0.499688i
$302$	12.4879			0.718600
$303$	10.4336	−	45.7124i	0.599392	−	2.62611i
$304$	−0.833870	−	3.65342i	−0.0478257	−	0.209538i
$305$	−3.30861	−	1.59334i	−0.189451	−	0.0912346i
$306$	−1.25533	+	1.57413i	−0.0717622	+	0.0899870i
$307$	24.3329			1.38875			0.694375	−	0.719613i	$-0.255681\pi$
$307$	24.3329			1.38875			0.694375	+	0.719613i	$0.255681\pi$
$308$	−3.88394			−0.221308
$309$	−26.7311	+	33.5198i	−1.52068	+	1.90687i
$310$	2.45821	−	1.18381i	0.139617	−	0.0672359i
$311$	−1.56840	−	1.96671i	−0.0889357	−	0.111522i	0.735373	−	0.677663i	$-0.237007\pi$
$311$	−1.56840	−	1.96671i	−0.0889357	−	0.111522i	−0.824308	+	0.566141i	$0.808436\pi$
$312$	6.64691	−	3.20098i	0.376307	−	0.181220i
$313$	3.18942	−	13.9738i	0.180277	−	0.789844i	−0.801221	−	0.598369i	$-0.795816\pi$
$313$	3.18942	−	13.9738i	0.180277	−	0.789844i	0.981498	−	0.191475i	$-0.0613271\pi$
$314$	3.82544	−	4.79695i	0.215882	−	0.270708i
$315$	2.21839	−	9.71939i	0.124992	−	0.547625i
$316$	−10.2206	−	4.92200i	−0.574955	−	0.276884i
$317$	−7.01898	−	8.80153i	−0.394225	−	0.494343i	0.544620	−	0.838683i	$-0.316674\pi$
$317$	−7.01898	−	8.80153i	−0.394225	−	0.494343i	−0.938845	+	0.344340i	$0.888103\pi$
$318$	−4.76111	−	5.97025i	−0.266990	−	0.334795i
$319$	1.95429	+	8.56229i	0.109419	+	0.479396i
$320$	−0.900969	−	0.433884i	−0.0503657	−	0.0242548i
$321$	19.1173	−	9.20642i	1.06702	−	0.513852i
$322$	1.80825	+	7.92244i	0.100770	+	0.441500i
$323$	−0.326112	−	1.42879i	−0.0181453	−	0.0795000i
$324$	−1.85568	+	0.893650i	−0.103093	+	0.0496472i
$325$	−2.32856	−	1.12138i	−0.129165	−	0.0622028i
$326$	0.908337	+	3.97968i	0.0503081	+	0.220414i
$327$	−1.02490	−	1.28518i	−0.0566770	−	0.0710707i
$328$	−2.26021	−	2.83422i	−0.124799	−	0.156493i
$329$	12.6743	+	6.10364i	0.698759	+	0.336505i
$330$	1.27399	−	5.58173i	0.0701310	−	0.307264i
$331$	−3.27867	+	4.11132i	−0.180212	+	0.225978i	−0.863730	−	0.503955i	$-0.831878\pi$
$331$	−3.27867	+	4.11132i	−0.180212	+	0.225978i	0.683518	+	0.729934i	$0.260449\pi$
$332$	−3.46829	+	15.1956i	−0.190347	+	0.833964i
$333$	−32.7823	+	15.7871i	−1.79646	+	0.865130i
$334$	−4.67571	−	5.86315i	−0.255843	−	0.320817i
$335$	13.8985	−	6.69318i	0.759358	−	0.365688i
$336$	−3.44643	+	4.32168i	−0.188018	+	0.235767i
$337$	9.45022			0.514786			0.257393	−	0.966307i	$-0.417136\pi$
$337$	9.45022			0.514786			0.257393	+	0.966307i	$0.417136\pi$
$338$	6.32031			0.343780
$339$	13.4829	−	16.9070i	0.732290	−	0.918262i
$340$	−0.352353	−	0.169684i	−0.0191090	−	0.00920243i
$341$	−1.21771	−	5.33514i	−0.0659427	−	0.288914i
$342$	4.29296	−	18.8087i	0.232137	−	1.01706i
$343$	19.8489			1.07174
$344$	6.48755	−	0.954798i	0.349785	−	0.0514793i
$345$	−11.9787			−0.644913
$346$	−3.72471	+	16.3190i	−0.200242	+	0.877316i
$347$	−0.111182	−	0.487120i	−0.00596856	−	0.0261500i	0.971856	−	0.235576i	$-0.0756976\pi$
$347$	−0.111182	−	0.487120i	−0.00596856	−	0.0261500i	−0.977825	+	0.209426i	$0.932840\pi$
$348$	11.2615	+	5.42324i	0.603678	+	0.290716i
$349$	−5.81723	+	7.29458i	−0.311389	+	0.390470i	−0.912757	−	0.408502i	$-0.866051\pi$
$349$	−5.81723	+	7.29458i	−0.311389	+	0.390470i	0.601368	+	0.798972i	$0.294623\pi$
$350$	1.93646			0.103508
$351$	15.8487			0.845939
$352$	−1.25053	+	1.56811i	−0.0666534	+	0.0835808i
$353$	20.0522	−	9.65665i	1.06727	−	0.513972i	0.184046	−	0.982918i	$-0.441080\pi$
$353$	20.0522	−	9.65665i	1.06727	−	0.513972i	0.883227	+	0.468946i	$0.155366\pi$
$354$	14.4049	+	18.0632i	0.765614	+	0.960050i
$355$	−12.8580	+	6.19210i	−0.682433	+	0.328643i
$356$	−2.52453	+	11.0607i	−0.133800	+	0.586215i
$357$	−1.34784	+	1.69013i	−0.0713351	+	0.0894514i
$358$	5.80022	−	25.4124i	0.306551	−	1.34309i
$359$	−30.0640	−	14.4780i	−1.58672	−	0.764122i	−0.587726	−	0.809060i	$-0.699977\pi$
$359$	−30.0640	−	14.4780i	−1.58672	−	0.764122i	−0.998990	+	0.0449375i	$0.985691\pi$
$360$	−3.20987	−	4.02506i	−0.169175	−	0.212139i
$361$	−3.09075	−	3.87567i	−0.162671	−	0.203983i
$362$	2.18584	+	9.57680i	0.114885	+	0.503346i
$363$	17.9441	+	8.64144i	0.941823	+	0.453558i
$364$	4.50916	−	2.17150i	0.236344	−	0.113817i
$365$	−1.55757	−	6.82415i	−0.0815268	−	0.357192i
$366$	2.33259	+	10.2198i	0.121927	+	0.534195i
$367$	24.9137	−	11.9978i	1.30048	−	0.626280i	0.349912	−	0.936783i	$-0.386212\pi$
$367$	24.9137	−	11.9978i	1.30048	−	0.626280i	0.950573	+	0.310503i	$0.100497\pi$
$368$	3.78084	+	1.82076i	0.197090	+	0.0949136i
$369$	−4.15288	−	18.1950i	−0.216190	−	0.947192i
$370$	−4.40657	−	5.52567i	−0.229087	−	0.287266i
$371$	−3.22986	−	4.05012i	−0.167686	−	0.210272i
$372$	−7.01698	−	3.37920i	−0.363814	−	0.175203i
$373$	1.30226	−	5.70556i	0.0674283	−	0.295423i	−0.929959	−	0.367664i	$-0.880158\pi$
$373$	1.30226	−	5.70556i	0.0674283	−	0.295423i	0.997387	+	0.0722406i	$0.0230150\pi$
$374$	−0.489060	+	0.613262i	−0.0252887	+	0.0317110i
$375$	−0.635189	+	2.78294i	−0.0328010	+	0.143711i
$376$	6.54512	−	3.15196i	0.337539	−	0.162550i
$377$	−7.05603	−	8.84799i	−0.363404	−	0.455695i
$378$	−10.6987	+	5.15223i	−0.550283	+	0.265002i
$379$	17.4287	−	21.8549i	0.895253	−	1.12261i	−0.0966126	−	0.995322i	$-0.530801\pi$
$379$	17.4287	−	21.8549i	0.895253	−	1.12261i	0.991866	−	0.127290i	$-0.0406278\pi$
$380$	3.74738			0.192236
$381$	23.8256			1.22062
$382$	−1.10869	+	1.39025i	−0.0567253	+	0.0711313i
$383$	21.4845	+	10.3464i	1.09781	+	0.528677i	0.892969	−	0.450118i	$-0.148618\pi$
$383$	21.4845	+	10.3464i	1.09781	+	0.528677i	0.204840	+	0.978795i	$0.434333\pi$
$384$	0.635189	+	2.78294i	0.0324143	+	0.142016i
$385$	0.864257	−	3.78656i	0.0440466	−	0.192981i
$386$	−1.07723			−0.0548295
$387$	32.2247	+	10.0628i	1.63807	+	0.511518i
$388$	−1.86524			−0.0946931
$389$	0.818729	−	3.58708i	0.0415112	−	0.181872i	−0.949922	−	0.312487i	$-0.898838\pi$
$389$	0.818729	−	3.58708i	0.0415112	−	0.181872i	0.991433	+	0.130615i	$0.0416951\pi$
$390$	1.64165	+	7.19254i	0.0831283	+	0.364209i
$391$	1.47862	+	0.712067i	0.0747771	+	0.0360108i
$392$	2.02643	−	2.54106i	0.102350	−	0.128343i
$393$	−40.4907			−2.04249
$394$	−17.5430			−0.883806
$395$	7.07290	−	8.86913i	0.355876	−	0.446254i
$396$	−9.30321	+	4.48019i	−0.467504	+	0.225138i
$397$	−21.3821	−	26.8123i	−1.07314	−	1.34567i	−0.934756	−	0.355290i	$-0.884382\pi$
$397$	−21.3821	−	26.8123i	−1.07314	−	1.34567i	−0.138379	−	0.990379i	$-0.544189\pi$
$398$	7.47854	−	3.60148i	0.374866	−	0.180526i
$399$	4.60933	−	20.1948i	0.230755	−	1.01100i
$400$	0.623490	−	0.781831i	0.0311745	−	0.0390916i
$401$	1.88596	−	8.26293i	0.0941803	−	0.412631i	−0.905757	−	0.423797i	$-0.860697\pi$
$401$	1.88596	−	8.26293i	0.0941803	−	0.412631i	0.999938	+	0.0111657i	$0.00355423\pi$
$402$	−39.6735	−	19.1058i	−1.97874	−	0.952909i
$403$	4.39659	+	5.51315i	0.219010	+	0.274630i
$404$	−10.2414	−	12.8423i	−0.509528	−	0.638928i
$405$	−0.458316	−	2.00801i	−0.0227739	−	0.0997789i
$406$	7.63960	+	3.67904i	0.379147	+	0.182588i
$407$	−12.7716	+	6.15049i	−0.633065	+	0.304868i
$408$	0.248411	+	1.08836i	0.0122982	+	0.0538819i
$409$	4.79365	+	21.0023i	0.237030	+	1.03850i	0.943660	+	0.330915i	$0.107357\pi$
$409$	4.79365	+	21.0023i	0.237030	+	1.03850i	−0.706630	+	0.707583i	$0.749785\pi$
$410$	3.26610	−	1.57287i	0.161301	−	0.0776786i
$411$	−39.3662	−	18.9578i	−1.94179	−	0.935118i
$412$	3.34216	+	14.6430i	0.164656	+	0.721407i
$413$	9.77209	+	12.2538i	0.480853	+	0.602971i
$414$	13.4700	+	16.8908i	0.662014	+	0.830139i
$415$	−14.0428	−	6.76266i	−0.689334	−	0.331966i
$416$	0.575108	−	2.51971i	0.0281970	−	0.123539i
$417$	27.0997	−	33.9819i	1.32708	−	1.66410i
$418$	1.67249	−	7.32764i	0.0818040	−	0.358407i
$419$	−11.1970	+	5.39217i	−0.547007	+	0.263425i	−0.686912	−	0.726740i	$-0.741034\pi$
$419$	−11.1970	+	5.39217i	−0.547007	+	0.263425i	0.139905	+	0.990165i	$0.455320\pi$
$420$	−3.44643	−	4.32168i	−0.168168	−	0.210876i
$421$	−13.7560	+	6.62455i	−0.670428	+	0.322861i	−0.737949	−	0.674857i	$-0.764205\pi$
$421$	−13.7560	+	6.62455i	−0.670428	+	0.322861i	0.0675210	+	0.997718i	$0.478491\pi$
$422$	5.81721	−	7.29455i	0.283177	−	0.355093i
$423$	37.3996			1.81843
$424$	−2.67514			−0.129917
$425$	0.243836	−	0.305761i	0.0118278	−	0.0148316i
$426$	36.7034	+	17.6754i	1.77829	+	0.856377i
$427$	1.58239	+	6.93292i	0.0765774	+	0.335508i
$428$	1.65408	−	7.24699i	0.0799529	−	0.350297i
$429$	14.7970			0.714407
$430$	−0.512757	+	6.53736i	−0.0247273	+	0.315260i
$431$	−35.6522			−1.71731			−0.858654	−	0.512555i	$-0.828699\pi$
$431$	−35.6522			−1.71731			−0.858654	+	0.512555i	$0.828699\pi$
$432$	−1.36454	+	5.97843i	−0.0656513	+	0.287637i
$433$	−3.33347	−	14.6049i	−0.160196	−	0.701866i	−0.989675	−	0.143328i	$-0.954220\pi$
$433$	−3.33347	−	14.6049i	−0.160196	−	0.701866i	0.829479	−	0.558538i	$-0.188637\pi$
$434$	−4.76021	−	2.29240i	−0.228497	−	0.110039i
$435$	−7.79318	+	9.77233i	−0.373654	+	0.468547i
$436$	−0.575864			−0.0275789
$437$	−15.7256			−0.752256
$438$	−12.4577	+	15.6214i	−0.595251	+	0.746422i
$439$	−22.7016	+	10.9325i	−1.08349	+	0.521780i	−0.888430	−	0.459012i	$-0.848203\pi$
$439$	−22.7016	+	10.9325i	−1.08349	+	0.521780i	−0.195057	+	0.980792i	$0.562489\pi$
$440$	−1.25053	−	1.56811i	−0.0596166	−	0.0747569i
$441$	15.0755	−	7.25996i	0.717879	−	0.345712i
$442$	0.224915	−	0.985415i	0.0106981	−	0.0468714i
$443$	−14.7502	+	18.4962i	−0.700805	+	0.878782i	−0.997083	−	0.0763198i	$-0.975683\pi$
$443$	−14.7502	+	18.4962i	−0.700805	+	0.878782i	0.296278	+	0.955102i	$0.404254\pi$
$444$	−4.48926	+	19.6687i	−0.213051	+	0.933436i
$445$	−10.2216	−	4.92247i	−0.484551	−	0.233347i
$446$	−10.6556	−	13.3617i	−0.504559	−	0.632697i
$447$	−19.8103	−	24.8413i	−0.936995	−	1.17495i
$448$	0.430902	+	1.88790i	0.0203582	+	0.0891951i
$449$	24.4793	+	11.7886i	1.15525	+	0.556338i	0.910606	−	0.413276i	$-0.135615\pi$
$449$	24.4793	+	11.7886i	1.15525	+	0.556338i	0.244642	+	0.969614i	$0.421330\pi$
$450$	4.63840	−	2.23374i	0.218656	−	0.105299i
$451$	−1.61791	−	7.08854i	−0.0761845	−	0.333786i
$452$	−1.68575	−	7.38574i	−0.0792909	−	0.347396i
$453$	32.1168	−	15.4666i	1.50898	−	0.726686i
$454$	−3.50556	−	1.68819i	−0.164524	−	0.0792306i
$455$	1.11367	+	4.87931i	0.0522097	+	0.228746i
$456$	−6.66943	−	8.36320i	−0.312325	−	0.391643i
$457$	15.8935	+	19.9299i	0.743468	+	0.932280i	0.999408	−	0.0344130i	$-0.0109562\pi$
$457$	15.8935	+	19.9299i	0.743468	+	0.932280i	−0.255939	+	0.966693i	$0.582385\pi$
$458$	14.6902	+	7.07441i	0.686426	+	0.330565i
$459$	−0.533647	+	2.33806i	−0.0249085	+	0.109131i
$460$	−2.61643	+	3.28089i	−0.121991	+	0.152972i
$461$	0.0210591	−	0.0922658i	0.000980819	−	0.00429725i	−0.974435	−	0.224669i	$-0.927870\pi$
$461$	0.0210591	−	0.0922658i	0.000980819	−	0.00429725i	0.975416	+	0.220372i	$0.0707271\pi$
$462$	−9.98881	+	4.81036i	−0.464721	+	0.223798i
$463$	5.12920	+	6.43182i	0.238374	+	0.298912i	0.886601	−	0.462536i	$-0.153060\pi$
$463$	5.12920	+	6.43182i	0.238374	+	0.298912i	−0.648226	+	0.761448i	$0.724489\pi$
$464$	3.94515	−	1.89988i	0.183149	−	0.0881998i
$465$	4.85590	−	6.08911i	0.225187	−	0.282376i
$466$	−12.2437			−0.567180
$467$	19.7005			0.911631			0.455816	−	0.890074i	$-0.349348\pi$
$467$	19.7005			0.911631			0.455816	+	0.890074i	$0.349348\pi$
$468$	8.29595	−	10.4028i	0.383481	−	0.480869i
$469$	−26.9139	−	12.9611i	−1.24277	−	0.598486i
$470$	1.61651	+	7.08240i	0.0745641	+	0.326687i
$471$	3.89722	−	17.0748i	0.179574	−	0.786767i
$472$	8.09376			0.372546
$473$	12.5543	+	3.92033i	0.577249	+	0.180257i
$474$	−32.3817			−1.48734
$475$	−0.833870	+	3.65342i	−0.0382606	+	0.167630i
$476$	0.168518	+	0.738327i	0.00772402	+	0.0338411i
$477$	−12.4084	−	5.97557i	−0.568142	−	0.273603i
$478$	−2.30464	+	2.88993i	−0.105412	+	0.132182i
$479$	−3.00261			−0.137193			−0.0685965	−	0.997644i	$-0.521852\pi$
$479$	−3.00261			−0.137193			−0.0685965	+	0.997644i	$0.521852\pi$
$480$	−2.85451			−0.130290
$481$	11.3888	−	14.2811i	0.519286	−	0.651164i
$482$	14.4492	−	6.95838i	0.658145	−	0.316946i
$483$	14.4626	+	18.1356i	0.658073	+	0.825198i
$484$	6.28624	−	3.02729i	0.285738	−	0.137604i
$485$	0.415054	−	1.81847i	0.0188466	−	0.0825725i
$486$	7.80436	−	9.78636i	0.354013	−	0.443918i
$487$	8.03894	−	35.2209i	0.364279	−	1.59601i	−0.377924	−	0.925836i	$-0.623362\pi$
$487$	8.03894	−	35.2209i	0.364279	−	1.59601i	0.742203	−	0.670175i	$-0.233781\pi$
$488$	3.30861	+	1.59334i	0.149774	+	0.0721273i
$489$	7.26503	+	9.11006i	0.328536	+	0.411971i
$490$	2.02643	+	2.54106i	0.0915447	+	0.114793i
$491$	−7.65420	−	33.5353i	−0.345429	−	1.51343i	−0.787426	−	0.616409i	$-0.788587\pi$
$491$	−7.65420	−	33.5353i	−0.345429	−	1.51343i	0.441997	−	0.897017i	$-0.354270\pi$
$492$	−9.32313	−	4.48978i	−0.420319	−	0.202415i
$493$	1.54288	−	0.743011i	0.0694877	−	0.0334635i
$494$	2.15514	+	9.44230i	0.0969645	+	0.424829i
$495$	−2.29770	−	10.0669i	−0.103274	−	0.452473i
$496$	−2.45821	+	1.18381i	−0.110377	+	0.0531546i
$497$	24.8990	+	11.9907i	1.11687	+	0.537858i
$498$	9.90026	+	43.3759i	0.443641	+	1.94372i
$499$	12.8487	+	16.1118i	0.575187	+	0.721261i	0.981283	−	0.192569i	$-0.0616818\pi$
$499$	12.8487	+	16.1118i	0.575187	+	0.721261i	−0.406097	+	0.913830i	$0.633110\pi$
$500$	0.623490	+	0.781831i	0.0278833	+	0.0349646i
$501$	−19.2868	−	9.28802i	−0.861669	−	0.414958i
$502$	5.05041	−	22.1273i	0.225411	−	0.987590i
$503$	−7.59395	+	9.52252i	−0.338598	+	0.424588i	−0.921756	−	0.387771i	$-0.873245\pi$
$503$	−7.59395	+	9.52252i	−0.338598	+	0.424588i	0.583158	+	0.812359i	$0.301817\pi$
$504$	−2.21839	+	9.71939i	−0.0988148	+	0.432936i
$505$	14.7992	−	7.12694i	0.658557	−	0.317145i
$506$	5.24775	+	6.58047i	0.233291	+	0.292537i
$507$	16.2547	−	7.82787i	0.721898	−	0.347648i
$508$	5.20404	−	6.52566i	0.230892	−	0.289529i
$509$	39.7931			1.76380			0.881898	−	0.471440i	$-0.156266\pi$
$509$	39.7931			1.76380			0.881898	+	0.471440i	$0.156266\pi$
$510$	−1.11635			−0.0494328
$511$	−8.45110	+	10.5973i	−0.373855	+	0.468799i
$512$	0.900969	+	0.433884i	0.0398176	+	0.0191751i
$513$	−5.11344	−	22.4034i	−0.225764	−	0.989135i
$514$	2.89104	−	12.6665i	0.127518	−	0.558694i
$515$	−15.0195			−0.661839
$516$	15.5023	−	10.4906i	0.682452	−	0.461822i
$517$	14.5704			0.640807
$518$	−3.04544	+	13.3429i	−0.133809	+	0.586255i
$519$	10.6322	+	46.5829i	0.466703	+	2.04476i
$520$	2.32856	+	1.12138i	0.102114	+	0.0491756i
$521$	6.08878	−	7.63509i	0.266754	−	0.334499i	−0.630356	−	0.776306i	$-0.717091\pi$
$521$	6.08878	−	7.63509i	0.266754	−	0.334499i	0.897110	+	0.441807i	$0.145662\pi$
$522$	22.5430			0.986681
$523$	−40.6078			−1.77566			−0.887828	−	0.460176i	$-0.847786\pi$
$523$	−40.6078			−1.77566			−0.887828	+	0.460176i	$0.847786\pi$
$524$	−8.84408	+	11.0901i	−0.386355	+	0.484474i
$525$	4.98023	−	2.39835i	0.217355	−	0.104673i
$526$	11.6126	+	14.5618i	0.506336	+	0.634925i
$527$	−0.961362	+	0.462967i	−0.0418776	+	0.0201672i
$528$	−1.27399	+	5.58173i	−0.0554435	+	0.242914i
$529$	−3.36065	+	4.21412i	−0.146115	+	0.183222i
$530$	0.595276	−	2.60807i	0.0258571	−	0.113287i
$531$	37.5421	+	18.0793i	1.62919	+	0.784576i
$532$	−4.52443	−	5.67346i	−0.196159	−	0.245976i
$533$	5.84154	+	7.32506i	0.253025	+	0.317284i
$534$	7.20630	+	31.5729i	0.311847	+	1.36629i
$535$	6.69723	+	3.22522i	0.289546	+	0.139438i
$536$	−13.8985	+	6.69318i	−0.600325	+	0.289101i
$537$	−16.5568	−	72.5401i	−0.714479	−	3.13034i
$538$	7.13822	+	31.2746i	0.307751	+	1.34834i
$539$	5.87322	−	2.82839i	0.252977	−	0.121828i
$540$	−5.52490	−	2.66065i	−0.237754	−	0.114496i
$541$	2.31836	+	10.1574i	0.0996742	+	0.436701i	0.999999	+	0.00148226i	$0.000471818\pi$
$541$	2.31836	+	10.1574i	0.0996742	+	0.436701i	−0.900325	+	0.435219i	$0.856671\pi$
$542$	0.929689	+	1.16579i	0.0399336	+	0.0500751i
$543$	17.4827	+	21.9227i	0.750256	+	0.940791i
$544$	0.352353	+	0.169684i	0.0151070	+	0.00727516i
$545$	0.128142	−	0.561425i	0.00548899	−	0.0240488i
$546$	8.90732	−	11.1694i	0.381198	−	0.478007i
$547$	−4.92752	+	21.5889i	−0.210686	+	0.923074i	0.753417	+	0.657543i	$0.228404\pi$
$547$	−4.92752	+	21.5889i	−0.210686	+	0.923074i	−0.964102	+	0.265531i	$0.914453\pi$
$548$	−13.7909	+	6.64134i	−0.589117	+	0.283704i
$549$	11.7876	+	14.7812i	0.503081	+	0.630844i
$550$	1.80707	−	0.870238i	0.0770536	−	0.0371071i
$551$	−10.2308	+	12.8290i	−0.435847	+	0.546535i
$552$	11.9787			0.509849
$553$	−21.9672			−0.934142
$554$	5.87600	−	7.36828i	0.249647	−	0.313048i
$555$	−18.1766	−	8.75340i	−0.771555	−	0.371561i
$556$	−3.38824	−	14.8448i	−0.143693	−	0.629562i
$557$	−6.35544	+	27.8450i	−0.269289	+	1.17983i	0.641555	+	0.767077i	$0.278290\pi$
$557$	−6.35544	+	27.8450i	−0.269289	+	1.17983i	−0.910843	+	0.412753i	$0.864567\pi$
$558$	−14.0465			−0.594635
$559$	−16.7671	+	2.46769i	−0.709175	+	0.104372i
$560$	−1.93646			−0.0818302
$561$	−0.498237	+	2.18292i	−0.0210356	+	0.0921628i
$562$	−0.168884	−	0.739928i	−0.00712393	−	0.0312120i
$563$	−9.69486	−	4.66880i	−0.408590	−	0.196766i	0.218288	−	0.975884i	$-0.429953\pi$
$563$	−9.69486	−	4.66880i	−0.408590	−	0.196766i	−0.626877	+	0.779118i	$0.715667\pi$
$564$	12.9291	−	16.2126i	0.544414	−	0.682674i
$565$	7.57568			0.318711
$566$	26.1664			1.09986
$567$	−2.48674	+	3.11828i	−0.104433	+	0.130955i
$568$	12.8580	−	6.19210i	0.539511	−	0.259815i
$569$	−0.511455	−	0.641345i	−0.0214413	−	0.0268866i	0.770995	−	0.636841i	$-0.219759\pi$
$569$	−0.511455	−	0.641345i	−0.0214413	−	0.0268866i	−0.792437	+	0.609954i	$0.791188\pi$
$570$	9.63760	−	4.64122i	0.403675	−	0.194400i
$571$	−7.10083	+	31.1108i	−0.297161	+	1.30195i	0.577174	+	0.816621i	$0.304156\pi$
$571$	−7.10083	+	31.1108i	−0.297161	+	1.30195i	−0.874334	+	0.485324i	$0.838702\pi$
$572$	3.23200	−	4.05281i	0.135137	−	0.169456i
$573$	−1.12949	+	4.94861i	−0.0471851	+	0.206731i
$574$	−6.32466	−	3.04580i	−0.263986	−	0.127129i
$575$	−2.61643	−	3.28089i	−0.109112	−	0.136823i
$576$	3.20987	+	4.02506i	0.133745	+	0.167711i
$577$	−7.22825	−	31.6690i	−0.300916	−	1.31840i	−0.868748	−	0.495254i	$-0.835075\pi$
$577$	−7.22825	−	31.6690i	−0.300916	−	1.31840i	0.567832	−	0.823144i	$-0.307782\pi$
$578$	−15.1787	−	7.30966i	−0.631350	−	0.304042i
$579$	−2.77045	+	1.33418i	−0.115136	+	0.0554465i
$580$	0.974370	+	4.26900i	0.0404585	+	0.177260i
$581$	6.71618	+	29.4255i	0.278634	+	1.22078i
$582$	−4.79707	+	2.31015i	−0.198845	+	0.0957586i
$583$	−4.83417	−	2.32801i	−0.200211	−	0.0964164i
$584$	1.55757	+	6.82415i	0.0644526	+	0.282385i
$585$	8.29595	+	10.4028i	0.342995	+	0.430103i
$586$	4.26195	+	5.34432i	0.176060	+	0.220772i
$587$	−32.1898	−	15.5018i	−1.32862	−	0.639828i	−0.371204	−	0.928551i	$-0.621055\pi$
$587$	−32.1898	−	15.5018i	−1.32862	−	0.639828i	−0.957412	+	0.288724i	$0.906769\pi$
$588$	2.06445	−	9.04495i	0.0851365	−	0.373008i
$589$	6.37478	−	7.99372i	0.262668	−	0.329376i
$590$	−1.80103	+	7.89083i	−0.0741473	+	0.324861i
$591$	−45.1177	+	21.7275i	−1.85589	+	0.893751i
$592$	4.40657	+	5.52567i	0.181109	+	0.227103i
$593$	−40.3222	+	19.4181i	−1.65583	+	0.797408i	−0.656773	+	0.754088i	$0.728079\pi$
$593$	−40.3222	+	19.4181i	−1.65583	+	0.797408i	−0.999061	+	0.0433196i	$0.986207\pi$
$594$	−7.66847	+	9.61595i	−0.314641	+	0.394547i
$595$	−0.757314			−0.0310468
$596$	−11.1309			−0.455939
$597$	14.7730	−	18.5247i	0.604618	−	0.758168i
$598$	−9.77163	−	4.70577i	−0.399592	−	0.192433i
$599$	10.0145	+	43.8765i	0.409183	+	1.79275i	0.587996	+	0.808864i	$0.299917\pi$
$599$	10.0145	+	43.8765i	0.409183	+	1.79275i	−0.178813	+	0.983883i	$0.557226\pi$
$600$	0.635189	−	2.78294i	0.0259315	−	0.113613i
$601$	−28.7143			−1.17128			−0.585641	−	0.810571i	$-0.699157\pi$
$601$	−28.7143			−1.17128			−0.585641	+	0.810571i	$0.699157\pi$
$602$	10.5165	−	7.11665i	0.428622	−	0.290053i
$603$	−79.4178			−3.23414
$604$	2.77883	−	12.1748i	0.113069	−	0.495387i
$605$	1.55257	+	6.80226i	0.0631210	+	0.276551i
$606$	−42.2446	−	20.3439i	−1.71607	−	0.826416i
$607$	−29.8886	+	37.4791i	−1.21314	+	1.52123i	−0.425668	+	0.904879i	$0.639961\pi$
$607$	−29.8886	+	37.4791i	−1.21314	+	1.52123i	−0.787472	+	0.616351i	$0.788610\pi$
$608$	−3.74738			−0.151976
$609$	24.2043			0.980808
$610$	−2.28963	+	2.87111i	−0.0927045	+	0.116248i
$611$	−16.9159	+	8.14628i	−0.684345	+	0.329563i
$612$	1.25533	+	1.57413i	0.0507435	+	0.0636304i
$613$	6.73970	−	3.24567i	0.272214	−	0.131091i	−0.292797	−	0.956175i	$-0.594586\pi$
$613$	6.73970	−	3.24567i	0.272214	−	0.131091i	0.565011	+	0.825083i	$0.308872\pi$
$614$	5.41457	−	23.7228i	0.218514	−	0.957374i
$615$	6.45180	−	8.09030i	0.260162	−	0.326233i
$616$	−0.864257	+	3.78656i	−0.0348219	+	0.152565i
$617$	−32.2763	−	15.5434i	−1.29939	−	0.625756i	−0.349094	−	0.937088i	$-0.613511\pi$
$617$	−32.2763	−	15.5434i	−1.29939	−	0.625756i	−0.950301	+	0.311332i	$0.899225\pi$
$618$	26.7311	+	33.5198i	1.07528	+	1.34836i
$619$	10.3084	+	12.9263i	0.414330	+	0.519553i	0.944577	−	0.328290i	$-0.106472\pi$
$619$	10.3084	+	12.9263i	0.414330	+	0.519553i	−0.530247	+	0.847843i	$0.677901\pi$
$620$	−0.607127	−	2.66000i	−0.0243828	−	0.106828i
$621$	23.1848	+	11.1652i	0.930374	+	0.448045i
$622$	−2.26640	+	1.09144i	−0.0908744	+	0.0437628i
$623$	4.88864	+	21.4185i	0.195859	+	0.858115i
$624$	−1.64165	−	7.19254i	−0.0657187	−	0.287932i
$625$	−0.900969	+	0.433884i	−0.0360388	+	0.0173553i
$626$	−12.9137	−	6.21891i	−0.516135	−	0.248558i
$627$	−4.77413	−	20.9168i	−0.190661	−	0.835338i
$628$	−3.82544	−	4.79695i	−0.152652	−	0.191419i
$629$	1.72333	+	2.16099i	0.0687138	+	0.0861644i
$630$	−8.98206	−	4.32553i	−0.357854	−	0.172333i
$631$	1.06595	−	4.67025i	0.0424349	−	0.185920i	−0.949268	−	0.314467i	$-0.898174\pi$
$631$	1.06595	−	4.67025i	0.0424349	−	0.185920i	0.991703	+	0.128547i	$0.0410314\pi$
$632$	−7.07290	+	8.86913i	−0.281345	+	0.352795i
$633$	5.92636	−	25.9651i	0.235552	−	1.03202i
$634$	−10.1427	+	4.88448i	−0.402819	+	0.193987i
$635$	5.20404	+	6.52566i	0.206516	+	0.258963i
$636$	−6.88001	+	3.31324i	−0.272810	+	0.131378i
$637$	−5.23732	+	6.56740i	−0.207510	+	0.260210i
$638$	8.78249			0.347702
$639$	73.4723			2.90652
$640$	−0.623490	+	0.781831i	−0.0246456	+	0.0309046i
$641$	−27.7963	−	13.3860i	−1.09789	−	0.528715i	−0.204894	−	0.978784i	$-0.565685\pi$
$641$	−27.7963	−	13.3860i	−1.09789	−	0.528715i	−0.892993	+	0.450070i	$0.851399\pi$
$642$	−4.72159	−	20.6866i	−0.186346	−	0.816436i
$643$	7.57421	−	33.1848i	0.298698	−	1.30868i	−0.573371	−	0.819296i	$-0.694364\pi$
$643$	7.57421	−	33.1848i	0.298698	−	1.30868i	0.872068	−	0.489384i	$-0.162778\pi$
$644$	8.12618			0.320216
$645$	6.77797	+	17.4480i	0.266882	+	0.687015i
$646$	−1.46553			−0.0576606
$647$	−2.98589	+	13.0821i	−0.117388	+	0.514309i	0.881708	+	0.471795i	$0.156394\pi$
$647$	−2.98589	+	13.0821i	−0.117388	+	0.514309i	−0.999096	+	0.0425138i	$0.986463\pi$
$648$	0.458316	+	2.00801i	0.0180043	+	0.0788822i
$649$	14.6260	+	7.04350i	0.574120	+	0.276481i
$650$	−1.61142	+	2.02065i	−0.0632049	+	0.0792565i
$651$	−15.0816			−0.591096
$652$	4.08203			0.159865
$653$	17.6047	−	22.0756i	0.688927	−	0.863887i	−0.307216	−	0.951640i	$-0.599397\pi$
$653$	17.6047	−	22.0756i	0.688927	−	0.863887i	0.996142	+	0.0877533i	$0.0279687\pi$
$654$	−1.48102	+	0.713222i	−0.0579125	+	0.0278892i
$655$	−8.84408	−	11.0901i	−0.345567	−	0.433327i
$656$	−3.26610	+	1.57287i	−0.127520	+	0.0614103i
$657$	−8.01873	+	35.1324i	−0.312841	+	1.37064i
$658$	8.77091	−	10.9984i	0.341926	−	0.428761i
$659$	−5.53076	+	24.2318i	−0.215448	+	0.943939i	0.745347	+	0.666677i	$0.232284\pi$
$659$	−5.53076	+	24.2318i	−0.215448	+	0.943939i	−0.960794	+	0.277262i	$0.910573\pi$
$660$	−5.15829	−	2.48410i	−0.200786	−	0.0966936i
$661$	0.454468	+	0.569885i	0.0176768	+	0.0221660i	0.790591	−	0.612344i	$-0.209773\pi$
$661$	0.454468	+	0.569885i	0.0176768	+	0.0221660i	−0.772915	+	0.634510i	$0.781202\pi$
$662$	3.27867	+	4.11132i	0.127429	+	0.159791i
$663$	−0.642021	−	2.81288i	−0.0249340	−	0.109243i
$664$	14.0428	+	6.76266i	0.544966	+	0.262442i
$665$	6.53800	−	3.14853i	0.253533	−	0.122095i
$666$	8.09657	+	35.4734i	0.313736	+	1.37457i
$667$	−4.08887	−	17.9145i	−0.158322	−	0.693652i
$668$	−6.75659	+	3.25380i	−0.261420	+	0.125893i
$669$	−43.9533	−	21.1668i	−1.69933	−	0.818356i
$670$	−3.43266	−	15.0394i	−0.132615	−	0.581024i
$671$	4.59230	+	5.75856i	0.177284	+	0.222307i
$672$	3.44643	+	4.32168i	0.132949	+	0.166712i
$673$	−6.51984	−	3.13979i	−0.251321	−	0.121030i	0.303982	−	0.952678i	$-0.401684\pi$
$673$	−6.51984	−	3.13979i	−0.251321	−	0.121030i	−0.555304	+	0.831648i	$0.687398\pi$
$674$	2.10287	−	9.21328i	0.0809996	−	0.354882i
$675$	3.82335	−	4.79433i	0.147161	−	0.184534i
$676$	1.40640	−	6.16185i	0.0540924	−	0.236994i
$677$	−2.51278	+	1.21009i	−0.0965741	+	0.0465076i	−0.481547	−	0.876420i	$-0.659925\pi$
$677$	−2.51278	+	1.21009i	−0.0965741	+	0.0465076i	0.384973	+	0.922928i	$0.374211\pi$
$678$	−13.4829	−	16.9070i	−0.517807	−	0.649310i
$679$	−3.25425	+	1.56717i	−0.124887	+	0.0601423i
$680$	−0.243836	+	0.305761i	−0.00935068	+	0.0117254i
$681$	−11.1066			−0.425604
$682$	−5.47234			−0.209547
$683$	−31.7808	+	39.8518i	−1.21606	+	1.52489i	−0.434996	+	0.900432i	$0.643250\pi$
$683$	−31.7808	+	39.8518i	−1.21606	+	1.52489i	−0.781061	+	0.624455i	$0.785321\pi$
$684$	−17.3818	−	8.37065i	−0.664611	−	0.320060i
$685$	−3.40607	−	14.9230i	−0.130139	−	0.570177i
$686$	4.41680	−	19.3513i	0.168634	−	0.738836i
$687$	46.5424			1.77570
$688$	0.512757	−	6.53736i	0.0195487	−	0.249235i
$689$	6.91394			0.263400
$690$	−2.66552	+	11.6784i	−0.101475	+	0.444589i
$691$	−0.152772	−	0.669337i	−0.00581172	−	0.0254628i	0.971939	−	0.235233i	$-0.0755854\pi$
$691$	−0.152772	−	0.669337i	−0.00581172	−	0.0254628i	−0.977751	+	0.209771i	$0.932728\pi$
$692$	15.0810	+	7.26265i	0.573295	+	0.276084i
$693$	−12.4669	+	15.6331i	−0.473580	+	0.593851i
$694$	−0.499647			−0.0189663
$695$	15.2266			0.577578
$696$	7.79318	−	9.77233i	0.295400	−	0.370419i
$697$	−1.27732	+	0.615122i	−0.0483818	+	0.0232994i
$698$	5.81723	+	7.29458i	0.220186	+	0.276104i
$699$	−31.4887	+	15.1642i	−1.19101	+	0.573562i
$700$	0.430902	−	1.88790i	0.0162866	−	0.0713561i
$701$	−21.6532	+	27.1523i	−0.817832	+	1.02553i	0.181282	+	0.983431i	$0.441975\pi$
$701$	−21.6532	+	27.1523i	−0.817832	+	1.02553i	−0.999114	+	0.0420974i	$0.986596\pi$
$702$	3.52666	−	15.4513i	0.133105	−	0.583172i
$703$	−23.8621	−	11.4914i	−0.899976	−	0.433406i
$704$	1.25053	+	1.56811i	0.0471311	+	0.0591005i
$705$	12.9291	+	16.2126i	0.486939	+	0.610602i
$706$	−4.95249	−	21.6983i	−0.186390	−	0.816626i
$707$	−28.6581	−	13.8010i	−1.07780	−	0.519040i
$708$	20.8158	−	10.0243i	0.782304	−	0.376738i
$709$	−7.25253	−	31.7754i	−0.272374	−	1.19335i	−0.907202	−	0.420696i	$-0.861786\pi$
$709$	−7.25253	−	31.7754i	−0.272374	−	1.19335i	0.634827	−	0.772654i	$-0.281071\pi$
$710$	3.17567	+	13.9135i	0.119181	+	0.522165i
$711$	−52.6183	+	25.3396i	−1.97334	+	0.950310i
$712$	10.2216	+	4.92247i	0.383071	+	0.184477i
$713$	2.54776	+	11.1625i	0.0954144	+	0.418038i
$714$	1.34784	+	1.69013i	0.0504415	+	0.0632517i
$715$	3.23200	+	4.05281i	0.120870	+	0.151566i
$716$	−23.4846	−	11.3096i	−0.877662	−	0.422660i
$717$	−2.34789	+	10.2868i	−0.0876834	+	0.384166i
$718$	−20.8049	+	26.0885i	−0.776433	+	0.973616i
$719$	4.29848	−	18.8329i	0.160306	−	0.702347i	−0.829331	−	0.558758i	$-0.811278\pi$
$719$	4.29848	−	18.8329i	0.160306	−	0.702347i	0.989637	−	0.143590i	$-0.0458646\pi$
$720$	−4.63840	+	2.23374i	−0.172863	+	0.0832465i
$721$	18.1340	+	22.7393i	0.675345	+	0.846855i
$722$	−4.46626	+	2.15084i	−0.166217	+	0.0800458i
$723$	28.5428	−	35.7915i	1.06152	−	1.33110i
$724$	9.82309			0.365072
$725$	−4.37878			−0.162624
$726$	12.4177	−	15.5713i	0.460865	−	0.577907i
$727$	−16.6274	−	8.00733i	−0.616676	−	0.296975i	0.0993466	−	0.995053i	$-0.468325\pi$
$727$	−16.6274	−	8.00733i	−0.616676	−	0.296975i	−0.716022	+	0.698078i	$0.754039\pi$
$728$	−1.11367	−	4.87931i	−0.0412754	−	0.180839i
$729$	9.32575	−	40.8588i	0.345398	−	1.51329i
$730$	−6.99965			−0.259069
$731$	0.200530	−	2.55665i	0.00741688	−	0.0945610i
$732$	10.4826			0.387447
$733$	7.96964	−	34.9173i	0.294365	−	1.28970i	−0.584017	−	0.811741i	$-0.698520\pi$
$733$	7.96964	−	34.9173i	0.294365	−	1.28970i	0.878383	−	0.477958i	$-0.158623\pi$
$734$	−6.15317	−	26.9588i	−0.227118	−	0.995068i
$735$	8.35879	+	4.02538i	0.308319	+	0.148478i
$736$	2.61643	−	3.28089i	0.0964427	−	0.120935i
$737$	−30.9402			−1.13970
$738$	−18.6629			−0.686990
$739$	−9.46750	+	11.8719i	−0.348268	+	0.436714i	−0.924854	−	0.380322i	$-0.875813\pi$
$739$	−9.46750	+	11.8719i	−0.348268	+	0.436714i	0.576586	+	0.817036i	$0.304384\pi$
$740$	−6.36768	+	3.06651i	−0.234081	+	0.112727i
$741$	17.2372	+	21.6148i	0.633224	+	0.794038i
$742$	−4.66729	+	2.24765i	−0.171342	+	0.0825137i
$743$	6.04558	−	26.4874i	0.221791	−	0.971729i	−0.734338	−	0.678784i	$-0.762507\pi$
$743$	6.04558	−	26.4874i	0.221791	−	0.971729i	0.956129	−	0.292945i	$-0.0946354\pi$
$744$	−4.85590	+	6.08911i	−0.178026	+	0.223238i
$745$	2.47686	−	10.8518i	0.0907450	−	0.397580i
$746$	−5.27273	−	2.53921i	−0.193048	−	0.0929673i
$747$	50.0302	+	62.7359i	1.83051	+	2.29539i
$748$	0.489060	+	0.613262i	0.0178818	+	0.0224231i
$749$	−3.20305	−	14.0335i	−0.117037	−	0.512772i
$750$	2.57183	+	1.23853i	0.0939098	+	0.0452246i
$751$	−43.1928	+	20.8006i	−1.57613	+	0.759024i	−0.998364	−	0.0571792i	$-0.981789\pi$
$751$	−43.1928	+	20.8006i	−1.57613	+	0.759024i	−0.577765	+	0.816203i	$0.696075\pi$
$752$	−1.61651	−	7.08240i	−0.0589481	−	0.258269i
$753$	−14.4165	−	63.1626i	−0.525365	−	2.30177i
$754$	−10.1963	+	4.91026i	−0.371326	+	0.178821i
$755$	11.2512	+	5.41831i	0.409475	+	0.197193i
$756$	2.64237	+	11.5770i	0.0961019	+	0.421050i
$757$	5.87315	+	7.36470i	0.213463	+	0.267675i	0.877023	−	0.480449i	$-0.159526\pi$
$757$	5.87315	+	7.36470i	0.213463	+	0.267675i	−0.663559	+	0.748124i	$0.730955\pi$
$758$	−17.4287	−	21.8549i	−0.633039	−	0.793806i
$759$	21.6464	+	10.4243i	0.785714	+	0.378380i
$760$	0.833870	−	3.65342i	0.0302476	−	0.132524i
$761$	4.30256	−	5.39524i	0.155968	−	0.195577i	−0.697708	−	0.716382i	$-0.745797\pi$
$761$	4.30256	−	5.39524i	0.155968	−	0.195577i	0.853676	+	0.520805i	$0.174368\pi$
$762$	5.30168	−	23.2282i	0.192060	−	0.841469i
$763$	−1.00470	+	0.483839i	−0.0363726	+	0.0175161i
$764$	1.10869	+	1.39025i	0.0401108	+	0.0502974i
$765$	−1.81400	+	0.873576i	−0.0655853	+	0.0315842i
$766$	14.8678	−	18.6436i	0.537194	−	0.673620i
$767$	−20.9184			−0.755320
$768$	2.85451			0.103003
$769$	−2.80513	+	3.51752i	−0.101156	+	0.126845i	−0.829833	−	0.558012i	$-0.811564\pi$
$769$	−2.80513	+	3.51752i	−0.101156	+	0.126845i	0.728677	+	0.684858i	$0.240136\pi$
$770$	−3.49931	−	1.68518i	−0.126106	−	0.0607296i
$771$	−8.25250	−	36.1566i	−0.297207	−	1.30215i
$772$	−0.239706	+	1.05022i	−0.00862721	+	0.0377983i
$773$	−2.96169			−0.106525			−0.0532624	−	0.998581i	$-0.516962\pi$
$773$	−2.96169			−0.106525			−0.0532624	+	0.998581i	$0.516962\pi$
$774$	16.9811	−	29.1776i	0.610374	−	1.04877i
$775$	2.72840			0.0980072
$776$	−0.415054	+	1.81847i	−0.0148996	+	0.0652793i
$777$	8.69324	+	38.0876i	0.311868	+	1.36638i
$778$	−3.31496	−	1.59640i	−0.118847	−	0.0572338i
$779$	8.46986	−	10.6209i	0.303464	−	0.380532i
$780$	7.37751			0.264157
$781$	28.6239			1.02424
$782$	1.02324	−	1.28310i	0.0365909	−	0.0458836i
$783$	24.1923	−	11.6504i	0.864563	−	0.416352i
$784$	−2.02643	−	2.54106i	−0.0723724	−	0.0907522i
$785$	5.52792	−	2.66211i	0.197300	−	0.0950147i
$786$	−9.01003	+	39.4755i	−0.321377	+	1.40804i
$787$	−1.12517	+	1.41092i	−0.0401080	+	0.0502938i	−0.801481	−	0.598020i	$-0.795954\pi$
$787$	−1.12517	+	1.41092i	−0.0401080	+	0.0502938i	0.761373	+	0.648314i	$0.224526\pi$
$788$	−3.90369	+	17.1032i	−0.139063	+	0.609276i
$789$	47.9009	+	23.0679i	1.70532	+	0.821237i
$790$	−7.07290	−	8.86913i	−0.251642	−	0.315550i
$791$	−9.14657	−	11.4694i	−0.325215	−	0.407806i
$792$	2.29770	+	10.0669i	0.0816454	+	0.357712i
$793$	−8.55115	−	4.11801i	−0.303660	−	0.146235i
$794$	−30.8980	+	14.8797i	−1.09653	+	0.528060i
$795$	−1.69922	−	7.44478i	−0.0602652	−	0.264039i
$796$	−1.84705	−	8.09245i	−0.0654669	−	0.286829i
$797$	15.9421	−	7.67729i	0.564697	−	0.271944i	−0.129679	−	0.991556i	$-0.541395\pi$
$797$	15.9421	−	7.67729i	0.564697	−	0.271944i	0.694376	+	0.719612i	$0.255681\pi$
$798$	−18.6628	−	8.98753i	−0.660656	−	0.318155i
$799$	−0.632189	−	2.76980i	−0.0223653	−	0.0979886i
$800$	−0.623490	−	0.781831i	−0.0220437	−	0.0276419i
$801$	36.4165	+	45.6648i	1.28671	+	1.61349i
$802$	−7.63610	−	3.67735i	−0.269640	−	0.129852i
$803$	−3.12400	+	13.6872i	−0.110244	+	0.483009i
$804$	−27.4549	+	34.4274i	−0.968261	+	1.21416i
$805$	−1.80825	+	7.92244i	−0.0637323	+	0.279229i
$806$	6.35326	−	3.05957i	0.223784	−	0.107769i
$807$	57.0927	+	71.5919i	2.00976	+	2.52016i
$808$	−14.7992	+	7.12694i	−0.520635	+	0.250725i
$809$	−3.91283	+	4.90654i	−0.137568	+	0.172505i	−0.845843	−	0.533432i	$-0.820902\pi$
$809$	−3.91283	+	4.90654i	−0.137568	+	0.172505i	0.708275	+	0.705936i	$0.249474\pi$
$810$	−2.05965			−0.0723688
$811$	37.9904			1.33402			0.667011	−	0.745048i	$-0.267573\pi$
$811$	37.9904			1.33402			0.667011	+	0.745048i	$0.267573\pi$
$812$	5.28677	−	6.62940i	0.185529	−	0.232646i
$813$	3.83486	+	1.84677i	0.134495	+	0.0647692i
$814$	3.15433	+	13.8200i	0.110559	+	0.484391i
$815$	−0.908337	+	3.97968i	−0.0318177	+	0.139402i
$816$	1.11635			0.0390801
$817$	8.89806	+	22.9056i	0.311304	+	0.801365i
$818$	21.5424			0.753214
$819$	5.73344	−	25.1198i	0.200343	−	0.877759i
$820$	−0.806660	−	3.53421i	−0.0281698	−	0.123420i
$821$	41.4488	+	19.9607i	1.44657	+	0.696633i	0.981996	−	0.188899i	$-0.0604919\pi$
$821$	41.4488	+	19.9607i	1.44657	+	0.696633i	0.464577	+	0.885532i	$0.346206\pi$
$822$	−27.2423	+	34.1607i	−0.950184	+	1.19149i
$823$	26.8684			0.936573			0.468287	−	0.883577i	$-0.344871\pi$
$823$	26.8684			0.936573			0.468287	+	0.883577i	$0.344871\pi$
$824$	15.0195			0.523230
$825$	3.56965	−	4.47620i	0.124279	−	0.155841i
$826$	14.1211	−	6.80035i	0.491335	−	0.236614i
$827$	−12.4381	−	15.5968i	−0.432513	−	0.542355i	0.517039	−	0.855962i	$-0.327034\pi$
$827$	−12.4381	−	15.5968i	−0.432513	−	0.542355i	−0.949553	+	0.313607i	$0.898463\pi$
$828$	19.4647	−	9.37370i	0.676445	−	0.325759i
$829$	7.90831	−	34.6486i	0.274667	−	1.20340i	−0.629768	−	0.776783i	$-0.716850\pi$
$829$	7.90831	−	34.6486i	0.274667	−	1.20340i	0.904435	−	0.426612i	$-0.140293\pi$
$830$	−9.71792	+	12.1859i	−0.337314	+	0.422978i
$831$	5.98626	−	26.2275i	0.207661	−	0.909822i
$832$	−2.32856	−	1.12138i	−0.0807284	−	0.0388767i
$833$	−0.792501	−	0.993765i	−0.0274585	−	0.0344319i
$834$	−27.0997	−	33.9819i	−0.938386	−	1.17670i
$835$	−1.66874	−	7.31123i	−0.0577491	−	0.253016i
$836$	−6.77176	−	3.26111i	−0.234206	−	0.112788i
$837$	−15.0742	+	7.25933i	−0.521039	+	0.250919i
$838$	2.76542	+	12.1161i	0.0955298	+	0.418543i
$839$	−0.899776	−	3.94218i	−0.0310637	−	0.136099i	0.957018	−	0.290028i	$-0.0936645\pi$
$839$	−0.899776	−	3.94218i	−0.0310637	−	0.136099i	−0.988082	+	0.153929i	$0.950807\pi$
$840$	−4.98023	+	2.39835i	−0.171834	+	0.0827510i
$841$	8.85317	+	4.26346i	0.305282	+	0.147016i
$842$	3.39746	+	14.8852i	0.117084	+	0.512979i
$843$	−1.35076	−	1.69380i	−0.0465227	−	0.0583376i
$844$	−5.81721	−	7.29455i	−0.200237	−	0.251089i
$845$	5.69440	+	2.74228i	0.195893	+	0.0943373i
$846$	8.32219	−	36.4619i	0.286123	−	1.25359i
$847$	8.42399	−	10.5633i	0.289452	−	0.362961i
$848$	−0.595276	+	2.60807i	−0.0204419	+	0.0895616i
$849$	67.2955	−	32.4078i	2.30958	−	1.11223i
$850$	−0.243836	−	0.305761i	−0.00836350	−	0.0104875i
$851$	26.7215	−	12.8684i	0.916000	−	0.441122i
$852$	25.3995	−	31.8500i	0.870174	−	1.09116i
$853$	−13.7525			−0.470878			−0.235439	−	0.971889i	$-0.575653\pi$
$853$	−13.7525			−0.470878			−0.235439	+	0.971889i	$0.575653\pi$
$854$	7.11122			0.243341
$855$	12.0286	−	15.0834i	0.411370	−	0.515841i
$856$	−6.69723	−	3.22522i	−0.228907	−	0.110236i
$857$	5.21017	+	22.8272i	0.177976	+	0.779763i	0.982563	+	0.185929i	$0.0595294\pi$
$857$	5.21017	+	22.8272i	0.177976	+	0.779763i	−0.804587	+	0.593834i	$0.797613\pi$
$858$	3.29265	−	14.4260i	0.112409	−	0.492497i
$859$	49.2705			1.68109			0.840543	−	0.541744i	$-0.182236\pi$
$859$	49.2705			1.68109			0.840543	+	0.541744i	$0.182236\pi$
$860$	6.25936	+	1.95460i	0.213442	+	0.0666513i
$861$	−20.0382			−0.682901
$862$	−7.93337	+	34.7584i	−0.270212	+	1.18387i
$863$	3.28365	+	14.3866i	0.111777	+	0.489727i	0.999566	+	0.0294752i	$0.00938360\pi$
$863$	3.28365	+	14.3866i	0.111777	+	0.489727i	−0.887789	+	0.460251i	$0.847759\pi$
$864$	5.52490	+	2.66065i	0.187961	+	0.0905172i
$865$	−10.4364	+	13.0868i	−0.354848	+	0.444966i
$866$	−14.9805			−0.509057
$867$	−48.0901			−1.63323
$868$	−3.29417	+	4.13075i	−0.111811	+	0.140207i
$869$	−20.4994	+	9.87201i	−0.695396	+	0.334885i
$870$	7.79318	+	9.77233i	0.264213	+	0.331313i
$871$	35.9209	−	17.2986i	1.21713	−	0.586141i
$872$	−0.128142	+	0.561425i	−0.00433943	+	0.0190123i
$873$	−5.98718	+	7.50768i	−0.202635	+	0.254097i
$874$	−3.49927	+	15.3313i	−0.118364	+	0.518589i
$875$	1.74469	+	0.840197i	0.0589812	+	0.0284038i
$876$	12.4577	+	15.6214i	0.420906	+	0.527800i
$877$	−32.5868	−	40.8625i	−1.10038	−	1.37983i	−0.917990	−	0.396603i	$-0.870189\pi$
$877$	−32.5868	−	40.8625i	−1.10038	−	1.37983i	−0.182387	−	0.983227i	$-0.558382\pi$
$878$	5.60682	+	24.5651i	0.189221	+	0.829032i
$879$	17.5801	+	8.46612i	0.592962	+	0.285555i
$880$	−1.80707	+	0.870238i	−0.0609162	+	0.0293357i
$881$	1.47193	+	6.44893i	0.0495904	+	0.217270i	0.993652	−	0.112500i	$-0.0358859\pi$
$881$	1.47193	+	6.44893i	0.0495904	+	0.217270i	−0.944061	+	0.329770i	$0.893029\pi$
$882$	−3.72333	−	16.3130i	−0.125371	−	0.549286i
$883$	−16.3488	+	7.87318i	−0.550182	+	0.264953i	−0.688255	−	0.725468i	$-0.741623\pi$
$883$	−16.3488	+	7.87318i	−0.550182	+	0.264953i	0.138074	+	0.990422i	$0.455909\pi$
$884$	−0.910660	−	0.438551i	−0.0306288	−	0.0147501i
$885$	5.14107	+	22.5245i	0.172815	+	0.757152i
$886$	14.7502	+	18.4962i	0.495544	+	0.621393i
$887$	−1.61364	−	2.02344i	−0.0541806	−	0.0679404i	0.754003	−	0.656871i	$-0.228120\pi$
$887$	−1.61364	−	2.02344i	−0.0541806	−	0.0679404i	−0.808183	+	0.588931i	$0.799549\pi$
$888$	18.1766	+	8.75340i	0.609968	+	0.293745i
$889$	3.59658	−	15.7576i	0.120625	−	0.528494i
$890$	−7.07357	+	8.86998i	−0.237107	+	0.297322i
$891$	−0.919241	+	4.02746i	−0.0307957	+	0.134925i
$892$	−15.3978	+	7.41521i	−0.515558	+	0.248280i
$893$	16.9732	+	21.2838i	0.567988	+	0.712234i
$894$	−28.6267	+	13.7859i	−0.957421	+	0.461070i
$895$	16.2519	−	20.3792i	0.543240	−	0.681201i
$896$	1.93646			0.0646924
$897$	−30.9592			−1.03370
$898$	16.9402	−	21.2423i	0.565301	−	0.708865i
$899$	10.7640	+	5.18365i	0.358998	+	0.172884i
$900$	−1.14559	−	5.01916i	−0.0381864	−	0.167305i
$901$	−0.232802	+	1.01997i	−0.00775576	+	0.0339802i
$902$	−7.27084			−0.242092
$903$	18.2325	−	31.3278i	0.606741	−	1.04252i
$904$	−7.57568			−0.251963
$905$	−2.18584	+	9.57680i	−0.0726599	+	0.318344i
$906$	−7.93220	−	34.7532i	−0.263530	−	1.15460i
$907$	25.1077	+	12.0912i	0.833689	+	0.401483i	0.801497	−	0.597998i	$-0.204037\pi$
$907$	25.1077	+	12.0912i	0.833689	+	0.401483i	0.0321914	+	0.999482i	$0.489751\pi$
$908$	−2.42592	+	3.04201i	−0.0805071	+	0.100953i
$909$	−84.5645			−2.80483
$910$	5.00479			0.165907
$911$	8.09816	−	10.1548i	0.268304	−	0.336443i	−0.629367	−	0.777108i	$-0.716686\pi$
$911$	8.09816	−	10.1548i	0.268304	−	0.336443i	0.897672	+	0.440665i	$0.145257\pi$
$912$	−9.63760	+	4.64122i	−0.319133	+	0.153686i
$913$	19.4912	+	24.4411i	0.645063	+	0.808884i
$914$	22.9668	−	11.0602i	0.759675	−	0.365840i
$915$	−2.33259	+	10.2198i	−0.0771132	+	0.337855i
$916$	10.1659	−	12.7476i	0.335891	−	0.421194i
$917$	−6.11226	+	26.7796i	−0.201845	+	0.884339i
$918$	2.16069	+	1.04053i	0.0713135	+	0.0343427i
$919$	35.5037	+	44.5202i	1.17116	+	1.46859i	0.854046	+	0.520198i	$0.174142\pi$
$919$	35.5037	+	44.5202i	1.17116	+	1.46859i	0.317112	+	0.948388i	$0.397287\pi$
$920$	2.61643	+	3.28089i	0.0862610	+	0.108168i
$921$	−15.4560	−	67.7170i	−0.509291	−	2.23135i
$922$	−0.0852664	−	0.0410621i	−0.00280810	−	0.00135231i
$923$	−33.2317	+	16.0035i	−1.09383	+	0.526763i
$924$	2.46703	+	10.8088i	0.0811594	+	0.355583i
$925$	−1.57269	−	6.89039i	−0.0517096	−	0.226555i
$926$	7.41191	−	3.56939i	0.243571	−	0.117297i
$927$	69.6666	+	33.5497i	2.28815	+	1.10192i
$928$	−0.974370	−	4.26900i	−0.0319853	−	0.140137i
$929$	−3.22488	−	4.04387i	−0.105805	−	0.132675i	0.726110	−	0.687579i	$-0.241326\pi$
$929$	−3.22488	−	4.04387i	−0.105805	−	0.132675i	−0.831914	+	0.554904i	$0.812755\pi$
$930$	−4.85590	−	6.08911i	−0.159231	−	0.199670i
$931$	10.9733	+	5.28448i	0.359637	+	0.173192i
$932$	−2.72449	+	11.9368i	−0.0892435	+	0.391001i
$933$	−4.47701	+	5.61400i	−0.146571	+	0.183794i
$934$	4.38378	−	19.2066i	0.143442	−	0.628459i
$935$	−0.706712	+	0.340335i	−0.0231120	+	0.0111301i
$936$	−8.29595	−	10.4028i	−0.271162	−	0.340026i
$937$	42.4076	−	20.4224i	1.38540	−	0.667172i	0.415254	−	0.909705i	$-0.363693\pi$
$937$	42.4076	−	20.4224i	1.38540	−	0.667172i	0.970143	+	0.242533i	$0.0779784\pi$
$938$	−18.6250	+	23.3550i	−0.608128	+	0.762568i
$939$	−40.9141			−1.33518
$940$	7.26454			0.236943
$941$	−4.09248	+	5.13180i	−0.133411	+	0.167292i	−0.844050	−	0.536265i	$-0.819835\pi$
$941$	−4.09248	+	5.13180i	−0.133411	+	0.167292i	0.710639	+	0.703557i	$0.248406\pi$
$942$	−15.7795	−	7.59902i	−0.514125	−	0.247589i
$943$	3.38509	+	14.8310i	0.110234	+	0.482965i
$944$	1.80103	−	7.89083i	0.0586186	−	0.256825i
$945$	−11.8747			−0.386284
$946$	6.61564	−	11.3672i	0.215093	−	0.369580i
$947$	50.4251			1.63859			0.819297	−	0.573369i	$-0.194364\pi$
$947$	50.4251			1.63859			0.819297	+	0.573369i	$0.194364\pi$
$948$	−7.20561	+	31.5698i	−0.234027	+	1.02534i
$949$	−4.02555	−	17.6371i	−0.130675	−	0.572524i
$950$	3.37627	+	1.62593i	0.109541	+	0.0527520i
$951$	−20.0358	+	25.1241i	−0.649705	+	0.814704i
$952$	0.757314			0.0245447
$953$	17.1355			0.555072			0.277536	−	0.960715i	$-0.410482\pi$
$953$	17.1355			0.555072			0.277536	+	0.960715i	$0.410482\pi$
$954$	−8.58688	+	10.7676i	−0.278010	+	0.348614i
$955$	−1.60210	+	0.771529i	−0.0518426	+	0.0249661i
$956$	2.30464	+	2.88993i	0.0745375	+	0.0934670i
$957$	22.5870	−	10.8773i	0.730135	−	0.351615i
$958$	−0.668145	+	2.92733i	−0.0215868	+	0.0945778i
$959$	−18.4807	+	23.1741i	−0.596774	+	0.748331i
$960$	−0.635189	+	2.78294i	−0.0205006	+	0.0898191i
$961$	21.2231	+	10.2205i	0.684615	+	0.329693i
$962$	−11.3888	−	14.2811i	−0.367191	−	0.460442i
$963$	−23.8602	−	29.9197i	−0.768883	−	0.964149i
$964$	−3.56867	−	15.6353i	−0.114939	−	0.503581i
$965$	−0.970550	−	0.467392i	−0.0312431	−	0.0150459i
$966$	20.8991	−	10.0645i	0.672419	−	0.323820i
$967$	4.92651	+	21.5844i	0.158426	+	0.694109i	0.990277	+	0.139110i	$0.0444242\pi$
$967$	4.92651	+	21.5844i	0.158426	+	0.694109i	−0.831851	+	0.554999i	$0.812719\pi$
$968$	−1.55257	−	6.80226i	−0.0499016	−	0.218633i
$969$	−3.76910	+	1.81510i	−0.121081	+	0.0583095i
$970$	−1.68052	−	0.809296i	−0.0539583	−	0.0259849i
$971$	−6.68971	−	29.3095i	−0.214683	−	0.940587i	−0.961337	−	0.275375i	$-0.911198\pi$
$971$	−6.68971	−	29.3095i	−0.214683	−	0.940587i	0.746654	−	0.665212i	$-0.231659\pi$
$972$	−7.80436	−	9.78636i	−0.250325	−	0.313898i
$973$	−18.3840	−	23.0528i	−0.589364	−	0.739039i
$974$	−32.5490	−	15.6748i	−1.04294	−	0.502252i
$975$	−1.64165	+	7.19254i	−0.0525749	+	0.230346i
$976$	2.28963	−	2.87111i	0.0732893	−	0.0919019i
$977$	−0.627140	+	2.74768i	−0.0200640	+	0.0879060i	−0.983969	−	0.178342i	$-0.942927\pi$
$977$	−0.627140	+	2.74768i	−0.0200640	+	0.0879060i	0.963905	+	0.266248i	$0.0857839\pi$
$978$	10.4983	−	5.05570i	0.335698	−	0.161663i
$979$	14.1874	+	17.7905i	0.453432	+	0.568586i
$980$	2.92827	−	1.41018i	0.0935403	−	0.0450466i
$981$	−1.84845	+	2.31788i	−0.0590165	+	0.0740043i
$982$	−34.3977			−1.09767
$983$	23.7526			0.757591			0.378796	−	0.925480i	$-0.376338\pi$
$983$	23.7526			0.757591			0.378796	+	0.925480i	$0.376338\pi$
$984$	−6.45180	+	8.09030i	−0.205676	+	0.257909i
$985$	−15.8057	−	7.61164i	−0.503613	−	0.242527i
$986$	−0.381059	−	1.66953i	−0.0121354	−	0.0531687i
$987$	8.93549	−	39.1489i	0.284420	−	1.24612i
$988$	9.68513			0.308125
$989$	−26.2669	−	8.20233i	−0.835238	−	0.260819i
$990$	−10.3258			−0.328175
$991$	5.73950	−	25.1464i	0.182321	−	0.798801i	−0.798201	−	0.602392i	$-0.794215\pi$
$991$	5.73950	−	25.1464i	0.182321	−	0.798801i	0.980522	−	0.196410i	$-0.0629283\pi$
$992$	0.607127	+	2.66000i	0.0192763	+	0.0844550i
$993$	13.5241	+	6.51288i	0.429175	+	0.206680i
$994$	17.2306	−	21.6065i	0.546523	−	0.685318i
$995$	8.30056			0.263145
$996$	44.4914			1.40976
$997$	−26.8894	+	33.7183i	−0.851597	+	1.06787i	0.145318	+	0.989385i	$0.453579\pi$
$997$	−26.8894	+	33.7183i	−0.851597	+	1.06787i	−0.996915	+	0.0784842i	$0.974992\pi$
$998$	18.5669	−	8.94135i	0.587725	−	0.283034i
$999$	27.0219	+	33.8844i	0.854934	+	1.07205i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	430.2.k.c.121.1	✓	18
43.16	even	7	inner	430.2.k.c.231.1	yes	18

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
430.2.k.c.121.1	✓	18	1.1	even	1	trivial
430.2.k.c.231.1	yes	18	43.16	even	7	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 430 = 2 \cdot 5 \cdot 43 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	430.k (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.222521 - 0.974928i) q^{2} +(-0.635189 - 2.78294i) q^{3} +(-0.900969 - 0.433884i) q^{4} +(0.623490 - 0.781831i) q^{5} -2.85451 q^{6} -1.93646 q^{7} +(-0.623490 + 0.781831i) q^{8} +(-4.63840 + 2.23374i) q^{9} +O(q^{10})\)	\(q+(0.222521 - 0.974928i) q^{2} +(-0.635189 - 2.78294i) q^{3} +(-0.900969 - 0.433884i) q^{4} +(0.623490 - 0.781831i) q^{5} -2.85451 q^{6} -1.93646 q^{7} +(-0.623490 + 0.781831i) q^{8} +(-4.63840 + 2.23374i) q^{9} +(-0.623490 - 0.781831i) q^{10} +(-1.80707 + 0.870238i) q^{11} +(-0.635189 + 2.78294i) q^{12} +(1.61142 - 2.02065i) q^{13} +(-0.430902 + 1.88790i) q^{14} +(-2.57183 - 1.23853i) q^{15} +(0.623490 + 0.781831i) q^{16} +(0.243836 + 0.305761i) q^{17} +(1.14559 + 5.01916i) q^{18} +(-3.37627 - 1.62593i) q^{19} +(-0.900969 + 0.433884i) q^{20} +(1.23001 + 5.38905i) q^{21} +(0.446309 + 1.95541i) q^{22} +(3.78084 - 1.82076i) q^{23} +(2.57183 + 1.23853i) q^{24} +(-0.222521 - 0.974928i) q^{25} +(-1.61142 - 2.02065i) q^{26} +(3.82335 + 4.79433i) q^{27} +(1.74469 + 0.840197i) q^{28} +(0.974370 - 4.26900i) q^{29} +(-1.77976 + 2.23175i) q^{30} +(-0.607127 + 2.66000i) q^{31} +(0.900969 - 0.433884i) q^{32} +(3.56965 + 4.47620i) q^{33} +(0.352353 - 0.169684i) q^{34} +(-1.20736 + 1.51398i) q^{35} +5.14824 q^{36} +7.06759 q^{37} +(-2.33645 + 2.92982i) q^{38} +(-6.64691 - 3.20098i) q^{39} +(0.222521 + 0.974928i) q^{40} +(-0.806660 + 3.53421i) q^{41} +5.52764 q^{42} +(-4.79142 - 4.47687i) q^{43} +2.00569 q^{44} +(-1.14559 + 5.01916i) q^{45} +(-0.933791 - 4.09121i) q^{46} +(-6.54512 - 3.15196i) q^{47} +(1.77976 - 2.23175i) q^{48} -3.25014 q^{49} -1.00000 q^{50} +(0.696033 - 0.872797i) q^{51} +(-2.32856 + 1.12138i) q^{52} +(1.66793 + 2.09151i) q^{53} +(5.52490 - 2.66065i) q^{54} +(-0.446309 + 1.95541i) q^{55} +(1.20736 - 1.51398i) q^{56} +(-2.38029 + 10.4287i) q^{57} +(-3.94515 - 1.89988i) q^{58} +(-5.04638 - 6.32796i) q^{59} +(1.77976 + 2.23175i) q^{60} +(-0.817160 - 3.58021i) q^{61} +(2.45821 + 1.18381i) q^{62} +(8.98206 - 4.32553i) q^{63} +(-0.222521 - 0.974928i) q^{64} +(-0.575108 - 2.51971i) q^{65} +(5.15829 - 2.48410i) q^{66} +(13.8985 + 6.69318i) q^{67} +(-0.0870240 - 0.381277i) q^{68} +(-7.46862 - 9.36535i) q^{69} +(1.20736 + 1.51398i) q^{70} +(-12.8580 - 6.19210i) q^{71} +(1.14559 - 5.01916i) q^{72} +(4.36421 - 5.47254i) q^{73} +(1.57269 - 6.89039i) q^{74} +(-2.57183 + 1.23853i) q^{75} +(2.33645 + 2.92982i) q^{76} +(3.49931 - 1.68518i) q^{77} +(-4.59981 + 5.76797i) q^{78} +11.3440 q^{79} +1.00000 q^{80} +(1.28417 - 1.61030i) q^{81} +(3.26610 + 1.57287i) q^{82} +(-3.46829 - 15.1956i) q^{83} +(1.23001 - 5.38905i) q^{84} +0.391083 q^{85} +(-5.43081 + 3.67509i) q^{86} -12.4993 q^{87} +(0.446309 - 1.95541i) q^{88} +(-2.52453 - 11.0607i) q^{89} +(4.63840 + 2.23374i) q^{90} +(-3.12043 + 3.91290i) q^{91} -4.19642 q^{92} +7.78826 q^{93} +(-4.52936 + 5.67964i) q^{94} +(-3.37627 + 1.62593i) q^{95} +(-1.77976 - 2.23175i) q^{96} +(1.68052 - 0.809296i) q^{97} +(-0.723224 + 3.16865i) q^{98} +(6.43802 - 8.07303i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 18 q + 3 q^{2} + 5 q^{3} - 3 q^{4} - 3 q^{5} + 2 q^{6} + 8 q^{7} + 3 q^{8} - 6 q^{9}+O(q^{10}) \) 18 * q + 3 * q^2 + 5 * q^3 - 3 * q^4 - 3 * q^5 + 2 * q^6 + 8 * q^7 + 3 * q^8 - 6 * q^9	\( 18 q + 3 q^{2} + 5 q^{3} - 3 q^{4} - 3 q^{5} + 2 q^{6} + 8 q^{7} + 3 q^{8} - 6 q^{9} + 3 q^{10} + 5 q^{11} + 5 q^{12} + 22 q^{13} - 8 q^{14} - 2 q^{15} - 3 q^{16} + q^{17} + 13 q^{18} - 7 q^{19} - 3 q^{20} + 10 q^{21} - 5 q^{22} + 8 q^{23} + 2 q^{24} - 3 q^{25} - 22 q^{26} + 20 q^{27} + q^{28} - 6 q^{29} + 2 q^{30} - 5 q^{31} + 3 q^{32} + 39 q^{33} - q^{34} - 13 q^{35} + 8 q^{36} - 18 q^{37} - 7 q^{39} + 3 q^{40} + 16 q^{41} + 4 q^{42} - 13 q^{43} - 2 q^{44} - 13 q^{45} - 8 q^{46} - 36 q^{47} - 2 q^{48} - 14 q^{49} - 18 q^{50} - 30 q^{51} - 20 q^{52} - 18 q^{53} + 29 q^{54} + 5 q^{55} + 13 q^{56} + 29 q^{57} - 8 q^{58} - 4 q^{59} - 2 q^{60} + 42 q^{61} - 2 q^{62} - 29 q^{63} - 3 q^{64} + 8 q^{65} + 24 q^{66} - 19 q^{67} + q^{68} - 51 q^{69} + 13 q^{70} - 27 q^{71} + 13 q^{72} + 28 q^{73} + 4 q^{74} - 2 q^{75} + 42 q^{77} - 35 q^{78} - 26 q^{79} + 18 q^{80} - 4 q^{81} + 19 q^{82} + 62 q^{83} + 10 q^{84} - 6 q^{85} - 15 q^{86} - 66 q^{87} - 5 q^{88} - 12 q^{89} + 6 q^{90} - 22 q^{91} - 20 q^{92} - 6 q^{93} - 6 q^{94} - 7 q^{95} + 2 q^{96} + 71 q^{97} - 28 q^{98} + 59 q^{99}+O(q^{100}) \) 18 * q + 3 * q^2 + 5 * q^3 - 3 * q^4 - 3 * q^5 + 2 * q^6 + 8 * q^7 + 3 * q^8 - 6 * q^9 + 3 * q^10 + 5 * q^11 + 5 * q^12 + 22 * q^13 - 8 * q^14 - 2 * q^15 - 3 * q^16 + q^17 + 13 * q^18 - 7 * q^19 - 3 * q^20 + 10 * q^21 - 5 * q^22 + 8 * q^23 + 2 * q^24 - 3 * q^25 - 22 * q^26 + 20 * q^27 + q^28 - 6 * q^29 + 2 * q^30 - 5 * q^31 + 3 * q^32 + 39 * q^33 - q^34 - 13 * q^35 + 8 * q^36 - 18 * q^37 - 7 * q^39 + 3 * q^40 + 16 * q^41 + 4 * q^42 - 13 * q^43 - 2 * q^44 - 13 * q^45 - 8 * q^46 - 36 * q^47 - 2 * q^48 - 14 * q^49 - 18 * q^50 - 30 * q^51 - 20 * q^52 - 18 * q^53 + 29 * q^54 + 5 * q^55 + 13 * q^56 + 29 * q^57 - 8 * q^58 - 4 * q^59 - 2 * q^60 + 42 * q^61 - 2 * q^62 - 29 * q^63 - 3 * q^64 + 8 * q^65 + 24 * q^66 - 19 * q^67 + q^68 - 51 * q^69 + 13 * q^70 - 27 * q^71 + 13 * q^72 + 28 * q^73 + 4 * q^74 - 2 * q^75 + 42 * q^77 - 35 * q^78 - 26 * q^79 + 18 * q^80 - 4 * q^81 + 19 * q^82 + 62 * q^83 + 10 * q^84 - 6 * q^85 - 15 * q^86 - 66 * q^87 - 5 * q^88 - 12 * q^89 + 6 * q^90 - 22 * q^91 - 20 * q^92 - 6 * q^93 - 6 * q^94 - 7 * q^95 + 2 * q^96 + 71 * q^97 - 28 * q^98 + 59 * q^99

Introduction

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