LMFDB - Embedded newform 430.2.k.c.231.3

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			231.3
Root			$0.565778 - 2.47884i$ of defining polynomial
Character	$\chi$	$=$	430.231
Dual form			430.2.k.c.121.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.222521 + 0.974928i) q^{2} +(0.565778 - 2.47884i) q^{3} +(-0.900969 + 0.433884i) q^{4} +(0.623490 + 0.781831i) q^{5} +2.54259 q^{6} +2.52637 q^{7} +(-0.623490 - 0.781831i) q^{8} +(-3.12162 - 1.50329i) q^{9} +O(q^{10})$	\(q+(0.222521 + 0.974928i) q^{2} +(0.565778 - 2.47884i) q^{3} +(-0.900969 + 0.433884i) q^{4} +(0.623490 + 0.781831i) q^{5} +2.54259 q^{6} +2.52637 q^{7} +(-0.623490 - 0.781831i) q^{8} +(-3.12162 - 1.50329i) q^{9} +(-0.623490 + 0.781831i) q^{10} +(2.46706 + 1.18807i) q^{11} +(0.565778 + 2.47884i) q^{12} +(-0.821979 - 1.03073i) q^{13} +(0.562170 + 2.46303i) q^{14} +(2.29079 - 1.10319i) q^{15} +(0.623490 - 0.781831i) q^{16} +(3.17768 - 3.98469i) q^{17} +(0.770977 - 3.37787i) q^{18} +(-2.36400 + 1.13844i) q^{19} +(-0.900969 - 0.433884i) q^{20} +(1.42937 - 6.26246i) q^{21} +(-0.609314 + 2.66958i) q^{22} +(-1.44099 - 0.693944i) q^{23} +(-2.29079 + 1.10319i) q^{24} +(-0.222521 + 0.974928i) q^{25} +(0.821979 - 1.03073i) q^{26} +(-0.736740 + 0.923842i) q^{27} +(-2.27618 + 1.09615i) q^{28} +(-0.451125 - 1.97651i) q^{29} +(1.58528 + 1.98787i) q^{30} +(0.223968 + 0.981268i) q^{31} +(0.900969 + 0.433884i) q^{32} +(4.34086 - 5.44326i) q^{33} +(4.59189 + 2.21134i) q^{34} +(1.57517 + 1.97519i) q^{35} +3.46474 q^{36} +4.40834 q^{37} +(-1.63594 - 2.05140i) q^{38} +(-3.02007 + 1.45439i) q^{39} +(0.222521 - 0.974928i) q^{40} +(-0.447495 - 1.96060i) q^{41} +6.42351 q^{42} +(6.18879 + 2.16769i) q^{43} -2.73823 q^{44} +(-0.770977 - 3.37787i) q^{45} +(0.355895 - 1.55928i) q^{46} +(-9.74566 + 4.69326i) q^{47} +(-1.58528 - 1.98787i) q^{48} -0.617459 q^{49} -1.00000 q^{50} +(-8.07953 - 10.1314i) q^{51} +(1.18779 + 0.572011i) q^{52} +(0.437039 - 0.548029i) q^{53} +(-1.06462 - 0.512694i) q^{54} +(0.609314 + 2.66958i) q^{55} +(-1.57517 - 1.97519i) q^{56} +(1.48451 + 6.50407i) q^{57} +(1.82657 - 0.879628i) q^{58} +(-1.26826 + 1.59035i) q^{59} +(-1.58528 + 1.98787i) q^{60} +(-3.03263 + 13.2868i) q^{61} +(-0.906828 + 0.436705i) q^{62} +(-7.88637 - 3.79788i) q^{63} +(-0.222521 + 0.974928i) q^{64} +(0.293361 - 1.28530i) q^{65} +(6.27272 + 3.02078i) q^{66} +(-11.4402 + 5.50929i) q^{67} +(-1.13410 + 4.96883i) q^{68} +(-2.53546 + 3.17936i) q^{69} +(-1.57517 + 1.97519i) q^{70} +(-6.84259 + 3.29522i) q^{71} +(0.770977 + 3.37787i) q^{72} +(4.21898 + 5.29043i) q^{73} +(0.980948 + 4.29781i) q^{74} +(2.29079 + 1.10319i) q^{75} +(1.63594 - 2.05140i) q^{76} +(6.23271 + 3.00152i) q^{77} +(-2.08995 - 2.62072i) q^{78} -5.12074 q^{79} +1.00000 q^{80} +(-4.60746 - 5.77758i) q^{81} +(1.81187 - 0.872551i) q^{82} +(-1.67626 + 7.34419i) q^{83} +(1.42937 + 6.26246i) q^{84} +5.09661 q^{85} +(-0.736202 + 6.51598i) q^{86} -5.15467 q^{87} +(-0.609314 - 2.66958i) q^{88} +(0.521294 - 2.28394i) q^{89} +(3.12162 - 1.50329i) q^{90} +(-2.07662 - 2.60400i) q^{91} +1.59938 q^{92} +2.55912 q^{93} +(-6.74421 - 8.45697i) q^{94} +(-2.36400 - 1.13844i) q^{95} +(1.58528 - 1.98787i) q^{96} +(11.5677 + 5.57073i) q^{97} +(-0.137397 - 0.601978i) q^{98} +(-5.91521 - 7.41744i) 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 $\left(\mathbb{Z}/430\mathbb{Z}\right)^\times$.

$n$	$87$	$261$
$\chi(n)$	$1$	$e\left(\frac{4}{7}\right)$

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
$3$	0.565778	−	2.47884i	0.326652	−	1.43116i	−0.498816	−	0.866708i	$-0.666231\pi$
$3$	0.565778	−	2.47884i	0.326652	−	1.43116i	0.825468	−	0.564449i	$-0.190911\pi$
$4$	−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
$6$	2.54259			1.03801
$7$	2.52637			0.954878			0.477439	−	0.878665i	$-0.341565\pi$
$7$	2.52637			0.954878			0.477439	+	0.878665i	$0.341565\pi$
$8$	−0.623490	−	0.781831i	−0.220437	−	0.276419i
$9$	−3.12162	−	1.50329i	−1.04054	−	0.501098i
$10$	−0.623490	+	0.781831i	−0.197165	+	0.247237i
$11$	2.46706	+	1.18807i	0.743847	+	0.358218i	0.767114	−	0.641511i	$-0.221692\pi$
$11$	2.46706	+	1.18807i	0.743847	+	0.358218i	−0.0232662	+	0.999729i	$0.507407\pi$
$12$	0.565778	+	2.47884i	0.163326	+	0.715579i
$13$	−0.821979	−	1.03073i	−0.227976	−	0.285873i	0.654666	−	0.755918i	$-0.272809\pi$
$13$	−0.821979	−	1.03073i	−0.227976	−	0.285873i	−0.882642	+	0.470045i	$0.844238\pi$
$14$	0.562170	+	2.46303i	0.150246	+	0.658272i
$15$	2.29079	−	1.10319i	0.591479	−	0.284841i
$16$	0.623490	−	0.781831i	0.155872	−	0.195458i
$17$	3.17768	−	3.98469i	0.770701	−	0.966429i	−0.229274	−	0.973362i	$-0.573635\pi$
$17$	3.17768	−	3.98469i	0.770701	−	0.966429i	0.999976	+	0.00693273i	$0.00220677\pi$
$18$	0.770977	−	3.37787i	0.181721	−	0.796172i
$19$	−2.36400	+	1.13844i	−0.542338	+	0.261176i	−0.684935	−	0.728605i	$-0.740169\pi$
$19$	−2.36400	+	1.13844i	−0.542338	+	0.261176i	0.142596	+	0.989781i	$0.454455\pi$
$20$	−0.900969	−	0.433884i	−0.201463	−	0.0970194i
$21$	1.42937	−	6.26246i	0.311913	−	1.36658i
$22$	−0.609314	+	2.66958i	−0.129906	+	0.569156i
$23$	−1.44099	−	0.693944i	−0.300467	−	0.144697i	0.277576	−	0.960704i	$-0.410469\pi$
$23$	−1.44099	−	0.693944i	−0.300467	−	0.144697i	−0.578043	+	0.816006i	$0.696183\pi$
$24$	−2.29079	+	1.10319i	−0.467606	+	0.225187i
$25$	−0.222521	+	0.974928i	−0.0445042	+	0.194986i
$26$	0.821979	−	1.03073i	0.161203	−	0.202143i
$27$	−0.736740	+	0.923842i	−0.141786	+	0.177794i
$28$	−2.27618	+	1.09615i	−0.430158	+	0.207153i
$29$	−0.451125	−	1.97651i	−0.0837717	−	0.367028i	0.915615	−	0.402057i	$-0.131705\pi$
$29$	−0.451125	−	1.97651i	−0.0837717	−	0.367028i	−0.999386	+	0.0350292i	$0.988848\pi$
$30$	1.58528	+	1.98787i	0.289430	+	0.362934i
$31$	0.223968	+	0.981268i	0.0402258	+	0.176241i	0.991050	−	0.133490i	$-0.0426183\pi$
$31$	0.223968	+	0.981268i	0.0402258	+	0.176241i	−0.950824	+	0.309731i	$0.899761\pi$
$32$	0.900969	+	0.433884i	0.159270	+	0.0767005i
$33$	4.34086	−	5.44326i	0.755646	−	0.947550i
$34$	4.59189	+	2.21134i	0.787502	+	0.379241i
$35$	1.57517	+	1.97519i	0.266252	+	0.333869i
$36$	3.46474			0.577457
$37$	4.40834			0.724726			0.362363	−	0.932037i	$-0.381970\pi$
$37$	4.40834			0.724726			0.362363	+	0.932037i	$0.381970\pi$
$38$	−1.63594	−	2.05140i	−0.265384	−	0.332781i
$39$	−3.02007	+	1.45439i	−0.483598	+	0.232888i
$40$	0.222521	−	0.974928i	0.0351836	−	0.154150i
$41$	−0.447495	−	1.96060i	−0.0698870	−	0.306195i	0.927889	−	0.372858i	$-0.121622\pi$
$41$	−0.447495	−	1.96060i	−0.0698870	−	0.306195i	−0.997776	+	0.0666627i	$0.978765\pi$
$42$	6.42351			0.991169
$43$	6.18879	+	2.16769i	0.943782	+	0.330569i
$43$	6.18879	+	2.16769i	0.943782	+	0.330569i
$44$	−2.73823			−0.412804
$45$	−0.770977	−	3.37787i	−0.114930	−	0.503543i
$46$	0.355895	−	1.55928i	0.0524739	−	0.229903i
$47$	−9.74566	+	4.69326i	−1.42155	+	0.684583i	−0.977406	−	0.211372i	$-0.932207\pi$
$47$	−9.74566	+	4.69326i	−1.42155	+	0.684583i	−0.444145	+	0.895955i	$0.646493\pi$
$48$	−1.58528	−	1.98787i	−0.228815	−	0.286925i
$49$	−0.617459			−0.0882084
$50$	−1.00000			−0.141421
$51$	−8.07953	−	10.1314i	−1.13136	−	1.41868i
$52$	1.18779	+	0.572011i	0.164717	+	0.0793237i
$53$	0.437039	−	0.548029i	0.0600319	−	0.0752776i	−0.750909	−	0.660406i	$-0.770384\pi$
$53$	0.437039	−	0.548029i	0.0600319	−	0.0752776i	0.810941	+	0.585128i	$0.198956\pi$
$54$	−1.06462	−	0.512694i	−0.144876	−	0.0697688i
$55$	0.609314	+	2.66958i	0.0821599	+	0.359966i
$56$	−1.57517	−	1.97519i	−0.210490	−	0.263947i
$57$	1.48451	+	6.50407i	0.196628	+	0.861485i
$58$	1.82657	−	0.879628i	0.239840	−	0.115501i
$59$	−1.26826	+	1.59035i	−0.165114	+	0.207046i	−0.857504	−	0.514477i	$-0.827986\pi$
$59$	−1.26826	+	1.59035i	−0.165114	+	0.207046i	0.692390	+	0.721523i	$0.256558\pi$
$60$	−1.58528	+	1.98787i	−0.204658	+	0.256633i
$61$	−3.03263	+	13.2868i	−0.388288	+	1.70120i	0.282263	+	0.959337i	$0.408915\pi$
$61$	−3.03263	+	13.2868i	−0.388288	+	1.70120i	−0.670551	+	0.741863i	$0.733942\pi$
$62$	−0.906828	+	0.436705i	−0.115167	+	0.0554616i
$63$	−7.88637	−	3.79788i	−0.993589	−	0.478487i
$64$	−0.222521	+	0.974928i	−0.0278151	+	0.121866i
$65$	0.293361	−	1.28530i	0.0363869	−	0.159422i
$66$	6.27272	+	3.02078i	0.772118	+	0.371832i
$67$	−11.4402	+	5.50929i	−1.39764	+	0.673067i	−0.972681	−	0.232147i	$-0.925425\pi$
$67$	−11.4402	+	5.50929i	−1.39764	+	0.673067i	−0.424957	+	0.905214i	$0.639711\pi$
$68$	−1.13410	+	4.96883i	−0.137530	+	0.602559i
$69$	−2.53546	+	3.17936i	−0.305233	+	0.382750i
$70$	−1.57517	+	1.97519i	−0.188268	+	0.236081i
$71$	−6.84259	+	3.29522i	−0.812066	+	0.391070i	−0.793359	−	0.608755i	$-0.791669\pi$
$71$	−6.84259	+	3.29522i	−0.812066	+	0.391070i	−0.0187074	+	0.999825i	$0.505955\pi$
$72$	0.770977	+	3.37787i	0.0908605	+	0.398086i
$73$	4.21898	+	5.29043i	0.493794	+	0.619198i	0.964817	−	0.262923i	$-0.0846864\pi$
$73$	4.21898	+	5.29043i	0.493794	+	0.619198i	−0.471023	+	0.882121i	$0.656115\pi$
$74$	0.980948	+	4.29781i	0.114033	+	0.499611i
$75$	2.29079	+	1.10319i	0.264518	+	0.127385i
$76$	1.63594	−	2.05140i	0.187655	−	0.235312i
$77$	6.23271	+	3.00152i	0.710283	+	0.342054i
$78$	−2.08995	−	2.62072i	−0.236640	−	0.296738i
$79$	−5.12074			−0.576129			−0.288064	−	0.957611i	$-0.593012\pi$
$79$	−5.12074			−0.576129			−0.288064	+	0.957611i	$0.593012\pi$
$80$	1.00000			0.111803
$81$	−4.60746	−	5.77758i	−0.511941	−	0.641953i
$82$	1.81187	−	0.872551i	0.200088	−	0.0963571i
$83$	−1.67626	+	7.34419i	−0.183994	+	0.806130i	0.795710	+	0.605678i	$0.207098\pi$
$83$	−1.67626	+	7.34419i	−0.183994	+	0.806130i	−0.979704	+	0.200452i	$0.935759\pi$
$84$	1.42937	+	6.26246i	0.155957	+	0.683290i
$85$	5.09661			0.552805
$86$	−0.736202	+	6.51598i	−0.0793867	+	0.702636i
$87$	−5.15467			−0.552639
$88$	−0.609314	−	2.66958i	−0.0649531	−	0.284578i
$89$	0.521294	−	2.28394i	0.0552570	−	0.242097i	−0.939755	−	0.341848i	$-0.888947\pi$
$89$	0.521294	−	2.28394i	0.0552570	−	0.242097i	0.995012	+	0.0997506i	$0.0318045\pi$
$90$	3.12162	−	1.50329i	0.329048	−	0.158461i
$91$	−2.07662	−	2.60400i	−0.217689	−	0.272974i
$92$	1.59938			0.166747
$93$	2.55912			0.265368
$94$	−6.74421	−	8.45697i	−0.695612	−	0.872270i
$95$	−2.36400	−	1.13844i	−0.242541	−	0.116802i
$96$	1.58528	−	1.98787i	0.161797	−	0.202886i
$97$	11.5677	+	5.57073i	1.17453	+	0.565621i	0.916311	−	0.400466i	$-0.131152\pi$
$97$	11.5677	+	5.57073i	1.17453	+	0.565621i	0.258214	+	0.966088i	$0.416866\pi$
$98$	−0.137397	−	0.601978i	−0.0138792	−	0.0608089i
$99$	−5.91521	−	7.41744i	−0.594501	−	0.745481i
$100$	−0.222521	−	0.974928i	−0.0222521	−	0.0974928i
$101$	2.99011	−	1.43996i	0.297527	−	0.143281i	−0.279165	−	0.960243i	$-0.590058\pi$
$101$	2.99011	−	1.43996i	0.297527	−	0.143281i	0.576692	+	0.816962i	$0.304343\pi$
$102$	8.07953	−	10.1314i	0.799993	−	1.00316i
$103$	−4.24740	+	5.32608i	−0.418509	+	0.524794i	−0.945738	−	0.324929i	$-0.894660\pi$
$103$	−4.24740	+	5.32608i	−0.418509	+	0.524794i	0.527229	+	0.849723i	$0.323231\pi$
$104$	−0.293361	+	1.28530i	−0.0287664	+	0.126034i
$105$	5.78738	−	2.78706i	0.564791	−	0.271989i
$106$	0.631539	+	0.304133i	0.0613405	+	0.0295400i
$107$	3.11459	−	13.6459i	0.301099	−	1.31920i	−0.567372	−	0.823461i	$-0.692040\pi$
$107$	3.11459	−	13.6459i	0.301099	−	1.31920i	0.868471	−	0.495739i	$-0.165103\pi$
$108$	0.262939	−	1.15201i	0.0253014	−	0.110852i
$109$	−6.17078	−	2.97169i	−0.591053	−	0.284636i	0.114352	−	0.993440i	$-0.463521\pi$
$109$	−6.17078	−	2.97169i	−0.591053	−	0.284636i	−0.705405	+	0.708804i	$0.749235\pi$
$110$	−2.46706	+	1.18807i	−0.235225	+	0.113278i
$111$	2.49414	−	10.9276i	0.236734	−	1.03720i
$112$	1.57517	−	1.97519i	0.148839	−	0.186638i
$113$	−7.63142	+	9.56950i	−0.717903	+	0.900222i	−0.998217	−	0.0596860i	$-0.980990\pi$
$113$	−7.63142	+	9.56950i	−0.717903	+	0.900222i	0.280314	+	0.959908i	$0.409561\pi$
$114$	−6.01066	+	2.89458i	−0.562950	+	0.271103i
$115$	−0.355895	−	1.55928i	−0.0331874	−	0.145403i
$116$	1.26402	+	1.58503i	0.117362	+	0.147167i
$117$	1.01642	+	4.45322i	0.0939680	+	0.411701i
$118$	−1.83269	−	0.882579i	−0.168713	−	0.0812480i
$119$	8.02800	−	10.0668i	0.735926	−	0.922822i
$120$	−2.29079	−	1.10319i	−0.209120	−	0.100707i
$121$	−2.18351	−	2.73804i	−0.198501	−	0.248912i
$122$	−13.6285			−1.23387
$123$	−5.11320			−0.461042
$124$	−0.627544	−	0.786916i	−0.0563552	−	0.0706671i
$125$	−0.900969	+	0.433884i	−0.0805851	+	0.0388077i
$126$	1.94777	−	8.53375i	0.173521	−	0.760247i
$127$	4.64233	+	20.3394i	0.411940	+	1.80483i	0.574933	+	0.818200i	$0.305028\pi$
$127$	4.64233	+	20.3394i	0.411940	+	1.80483i	−0.162993	+	0.986627i	$0.552115\pi$
$128$	−1.00000			−0.0883883
$129$	8.87483	−	14.1146i	0.781385	−	1.24272i
$130$	1.31835			0.115627
$131$	−3.90498	−	17.1088i	−0.341180	−	1.49481i	−0.796587	−	0.604524i	$-0.793364\pi$
$131$	−3.90498	−	17.1088i	−0.341180	−	1.49481i	0.455407	−	0.890283i	$-0.349494\pi$
$132$	−1.54923	+	6.78763i	−0.134843	+	0.590788i
$133$	−5.97233	+	2.87612i	−0.517867	+	0.249391i
$134$	−7.91683	−	9.92740i	−0.683910	−	0.857596i
$135$	−1.18164			−0.101699
$136$	−5.09661			−0.437031
$137$	−0.499433	−	0.626270i	−0.0426695	−	0.0535058i	0.760039	−	0.649878i	$-0.225180\pi$
$137$	−0.499433	−	0.626270i	−0.0426695	−	0.0535058i	−0.802708	+	0.596372i	$0.796608\pi$
$138$	−3.66384	−	1.76441i	−0.311887	−	0.150197i
$139$	11.5807	−	14.5217i	0.982260	−	1.23172i	0.00948713	−	0.999955i	$-0.496980\pi$
$139$	11.5807	−	14.5217i	0.982260	−	1.23172i	0.972773	−	0.231760i	$-0.0744485\pi$
$140$	−2.27618	−	1.09615i	−0.192372	−	0.0926416i
$141$	6.11995	+	26.8133i	0.515393	+	2.25808i
$142$	−4.73522	−	5.93778i	−0.397371	−	0.498287i
$143$	−0.803291	−	3.51945i	−0.0671745	−	0.294311i
$144$	−3.12162	+	1.50329i	−0.260135	+	0.125274i
$145$	1.26402	−	1.58503i	0.104971	−	0.131630i
$146$	−4.21898	+	5.29043i	−0.349165	+	0.437839i
$147$	−0.349345	+	1.53058i	−0.0288135	+	0.126240i
$148$	−3.97178	+	1.91271i	−0.326478	+	0.157224i
$149$	−20.5475	−	9.89518i	−1.68332	−	0.810645i	−0.996479	−	0.0838370i	$-0.973282\pi$
$149$	−20.5475	−	9.89518i	−1.68332	−	0.810645i	−0.686841	−	0.726808i	$-0.741003\pi$
$150$	−0.565778	+	2.47884i	−0.0461956	+	0.202396i
$151$	−4.09120	+	17.9247i	−0.332937	+	1.45869i	0.480477	+	0.877008i	$0.340464\pi$
$151$	−4.09120	+	17.9247i	−0.332937	+	1.45869i	−0.813414	+	0.581686i	$0.802393\pi$
$152$	2.36400	+	1.13844i	0.191746	+	0.0923398i
$153$	−15.9097	+	7.66170i	−1.28622	+	0.619412i
$154$	−1.53935	+	6.74434i	−0.124045	+	0.543475i
$155$	−0.627544	+	0.786916i	−0.0504056	+	0.0632066i
$156$	2.08995	−	2.62072i	0.167330	−	0.209825i
$157$	9.63777	−	4.64130i	0.769178	−	0.370416i	−0.00777963	−	0.999970i	$-0.502476\pi$
$157$	9.63777	−	4.64130i	0.769178	−	0.370416i	0.776957	+	0.629553i	$0.216762\pi$
$158$	−1.13947	−	4.99236i	−0.0906516	−	0.397171i
$159$	−1.11121	−	1.39341i	−0.0881245	−	0.110505i
$160$	0.222521	+	0.974928i	0.0175918	+	0.0770748i
$161$	−3.64047	−	1.75316i	−0.286909	−	0.138168i
$162$	4.60746	−	5.77758i	0.361997	−	0.453929i
$163$	−11.3883	−	5.48432i	−0.892001	−	0.429565i	−0.0690075	−	0.997616i	$-0.521983\pi$
$163$	−11.3883	−	5.48432i	−0.892001	−	0.429565i	−0.822993	+	0.568051i	$0.807698\pi$
$164$	1.25385	+	1.57228i	0.0979095	+	0.122775i
$165$	6.96219			0.542006
$166$	−7.53306			−0.584679
$167$	2.42110	+	3.03597i	0.187350	+	0.234930i	0.866632	−	0.498948i	$-0.166280\pi$
$167$	2.42110	+	3.03597i	0.187350	+	0.234930i	−0.679282	+	0.733878i	$0.737709\pi$
$168$	−5.78738	+	2.78706i	−0.446506	+	0.215026i
$169$	2.50602	−	10.9796i	0.192771	−	0.844584i
$170$	1.13410	+	4.96883i	0.0869817	+	0.381092i
$171$	9.09092			0.695200
$172$	−6.51643	+	0.732198i	−0.496873	+	0.0558296i
$173$	14.0116			1.06529			0.532643	−	0.846340i	$-0.321199\pi$
$173$	14.0116			1.06529			0.532643	+	0.846340i	$0.321199\pi$
$174$	−1.14702	−	5.02543i	−0.0869556	−	0.380977i
$175$	−0.562170	+	2.46303i	−0.0424961	+	0.186187i
$176$	2.46706	−	1.18807i	0.185962	−	0.0895545i
$177$	3.22467	+	4.04361i	0.242381	+	0.303936i
$178$	2.34267			0.175591
$179$	9.02555			0.674602			0.337301	−	0.941397i	$-0.390486\pi$
$179$	9.02555			0.674602			0.337301	+	0.941397i	$0.390486\pi$
$180$	2.16023	+	2.70884i	0.161014	+	0.201905i
$181$	14.7964	+	7.12557i	1.09981	+	0.529639i	0.893598	−	0.448869i	$-0.148173\pi$
$181$	14.7964	+	7.12557i	1.09981	+	0.529639i	0.206209	+	0.978508i	$0.433887\pi$
$182$	2.07662	−	2.60400i	0.153929	−	0.193021i
$183$	31.2200	+	15.0348i	2.30785	+	1.11140i
$184$	0.355895	+	1.55928i	0.0262369	+	0.114952i
$185$	2.74855	+	3.44658i	0.202078	+	0.253397i
$186$	0.569458	+	2.49496i	0.0417547	+	0.182939i
$187$	12.5737	−	6.05515i	0.919477	−	0.442797i
$188$	6.74421	−	8.45697i	0.491872	−	0.616788i
$189$	−1.86128	+	2.33397i	−0.135388	+	0.169771i
$190$	0.583859	−	2.55805i	0.0423576	−	0.185581i
$191$	−16.9791	+	8.17672i	−1.22857	+	0.591647i	−0.931685	−	0.363267i	$-0.881661\pi$
$191$	−16.9791	+	8.17672i	−1.22857	+	0.591647i	−0.296882	+	0.954914i	$0.595947\pi$
$192$	2.29079	+	1.10319i	0.165324	+	0.0796156i
$193$	−0.00652056	+	0.0285684i	−0.000469360	+	0.00205640i	−0.975162	−	0.221493i	$-0.928907\pi$
$193$	−0.00652056	+	0.0285684i	−0.000469360	+	0.00205640i	0.974693	+	0.223549i	$0.0717643\pi$
$194$	−2.85699	+	12.5173i	−0.205120	+	0.898690i
$195$	−3.02007	−	1.45439i	−0.216272	−	0.104151i
$196$	0.556311	−	0.267905i	0.0397365	−	0.0191361i
$197$	3.61807	−	15.8518i	0.257777	−	1.12939i	−0.665846	−	0.746089i	$-0.731929\pi$
$197$	3.61807	−	15.8518i	0.257777	−	1.12939i	0.923622	−	0.383304i	$-0.125214\pi$
$198$	5.91521	−	7.41744i	0.420376	−	0.527135i
$199$	15.8407	−	19.8636i	1.12292	−	1.40809i	0.221488	−	0.975163i	$-0.428909\pi$
$199$	15.8407	−	19.8636i	1.12292	−	1.40809i	0.901428	−	0.432929i	$-0.142520\pi$
$200$	0.900969	−	0.433884i	0.0637081	−	0.0306802i
$201$	7.18404	+	31.4753i	0.506723	+	2.22010i
$202$	2.06922	+	2.59472i	0.145590	+	0.182564i
$203$	−1.13971	−	4.99338i	−0.0799918	−	0.350467i
$204$	11.6753	+	5.62251i	0.817432	+	0.393654i
$205$	1.25385	−	1.57228i	0.0875729	−	0.109813i
$206$	−6.13768	−	2.95575i	−0.427632	−	0.205937i
$207$	3.45502	+	4.33246i	0.240141	+	0.301127i
$208$	−1.31835			−0.0914113
$209$	−7.18468			−0.496975
$210$	4.00499	+	5.02210i	0.276371	+	0.346558i
$211$	3.37798	−	1.62675i	0.232550	−	0.111990i	−0.313980	−	0.949429i	$-0.601663\pi$
$211$	3.37798	−	1.62675i	0.232550	−	0.111990i	0.546530	+	0.837439i	$0.315948\pi$
$212$	−0.155977	+	0.683381i	−0.0107126	+	0.0469348i
$213$	4.29692	+	18.8260i	0.294420	+	1.28994i
$214$	13.9969			0.956805
$215$	2.16388	+	6.19012i	0.147576	+	0.422163i
$216$	1.18164			0.0804003
$217$	0.565826	+	2.47905i	0.0384108	+	0.168289i
$218$	1.52406	−	6.67733i	0.103222	−	0.452246i
$219$	15.5011	−	7.46495i	1.04747	−	0.504435i
$220$	−1.70726	−	2.14084i	−0.115103	−	0.144335i
$221$	−6.71912			−0.451977
$222$	11.2086			0.752270
$223$	14.2888	+	17.9176i	0.956848	+	1.19985i	0.979773	+	0.200112i	$0.0641305\pi$
$223$	14.2888	+	17.9176i	0.956848	+	1.19985i	−0.0229254	+	0.999737i	$0.507298\pi$
$224$	2.27618	+	1.09615i	0.152084	+	0.0732396i
$225$	2.16023	−	2.70884i	0.144015	−	0.180589i
$226$	−11.0277	−	5.31067i	−0.733553	−	0.353260i
$227$	1.40766	+	6.16734i	0.0934294	+	0.409341i	0.999917	−	0.0128917i	$-0.00410366\pi$
$227$	1.40766	+	6.16734i	0.0934294	+	0.409341i	−0.906487	+	0.422233i	$0.861247\pi$
$228$	−4.15951	−	5.21586i	−0.275470	−	0.345429i
$229$	1.64938	+	7.22642i	0.108994	+	0.477535i	0.999735	+	0.0230232i	$0.00732915\pi$
$229$	1.64938	+	7.22642i	0.108994	+	0.477535i	−0.890741	+	0.454512i	$0.849814\pi$
$230$	1.44099	−	0.693944i	0.0950160	−	0.0457573i
$231$	10.9666	−	13.7517i	0.721549	−	0.904794i
$232$	−1.26402	+	1.58503i	−0.0829872	+	0.104063i
$233$	0.0927117	−	0.406196i	0.00607374	−	0.0266108i	−0.971800	−	0.235806i	$-0.924227\pi$
$233$	0.0927117	−	0.406196i	0.00607374	−	0.0266108i	0.977874	+	0.209195i	$0.0670843\pi$
$234$	−4.11540	+	1.98187i	−0.269032	+	0.129559i
$235$	−9.74566	−	4.69326i	−0.635737	−	0.306155i
$236$	0.452638	−	1.98314i	0.0294642	−	0.129091i
$237$	−2.89721	+	12.6935i	−0.188194	+	0.824531i
$238$	11.6008	+	5.58665i	0.751968	+	0.362129i
$239$	−20.2817	+	9.76715i	−1.31191	+	0.631784i	−0.953391	−	0.301737i	$-0.902434\pi$
$239$	−20.2817	+	9.76715i	−1.31191	+	0.631784i	−0.358522	+	0.933521i	$0.616719\pi$
$240$	0.565778	−	2.47884i	0.0365208	−	0.160008i
$241$	−12.6009	+	15.8010i	−0.811696	+	1.01783i	0.187670	+	0.982232i	$0.439906\pi$
$241$	−12.6009	+	15.8010i	−0.811696	+	1.01783i	−0.999366	+	0.0356023i	$0.988665\pi$
$242$	2.18351	−	2.73804i	0.140361	−	0.176008i
$243$	−20.1223	+	9.69041i	−1.29085	+	0.621640i
$244$	−3.03263	−	13.2868i	−0.194144	−	0.850600i
$245$	−0.384979	−	0.482749i	−0.0245954	−	0.0308417i
$246$	−1.13779	−	4.98500i	−0.0725431	−	0.317832i
$247$	3.11658	+	1.50087i	0.198303	+	0.0954978i
$248$	0.627544	−	0.786916i	0.0398491	−	0.0499692i
$249$	17.2567	+	8.31037i	1.09360	+	0.526648i
$250$	−0.623490	−	0.781831i	−0.0394330	−	0.0494474i
$251$	−4.53203			−0.286059			−0.143030	−	0.989718i	$-0.545684\pi$
$251$	−4.53203			−0.286059			−0.143030	+	0.989718i	$0.545684\pi$
$252$	8.75321			0.551400
$253$	−2.73055	−	3.42401i	−0.171668	−	0.215265i
$254$	−18.7964	+	9.05187i	−1.17939	+	0.567965i
$255$	2.88355	−	12.6337i	0.180575	−	0.791151i
$256$	−0.222521	−	0.974928i	−0.0139076	−	0.0609330i
$257$	−7.50312			−0.468032			−0.234016	−	0.972233i	$-0.575187\pi$
$257$	−7.50312			−0.468032			−0.234016	+	0.972233i	$0.575187\pi$
$258$	15.7355	+	5.51153i	0.979651	+	0.343133i
$259$	11.1371			0.692025
$260$	0.293361	+	1.28530i	0.0181935	+	0.0797108i
$261$	−1.56303	+	6.84808i	−0.0967491	+	0.423885i
$262$	15.8110	−	7.61415i	0.976804	−	0.470404i
$263$	−16.6242	−	20.8461i	−1.02509	−	1.28543i	−0.957720	−	0.287700i	$-0.907109\pi$
$263$	−16.6242	−	20.8461i	−1.02509	−	1.28543i	−0.0673742	−	0.997728i	$-0.521462\pi$
$264$	−6.96219			−0.428493
$265$	0.700956			0.0430594
$266$	−4.13298	−	5.18259i	−0.253409	−	0.317765i
$267$	−5.36657	−	2.58440i	−0.328429	−	0.158163i
$268$	7.91683	−	9.92740i	0.483598	−	0.606412i
$269$	9.41017	+	4.53170i	0.573748	+	0.276303i	0.698176	−	0.715926i	$-0.253995\pi$
$269$	9.41017	+	4.53170i	0.573748	+	0.276303i	−0.124428	+	0.992229i	$0.539710\pi$
$270$	−0.262939	−	1.15201i	−0.0160020	−	0.0701093i
$271$	5.81393	+	7.29044i	0.353171	+	0.442862i	0.926405	−	0.376530i	$-0.122883\pi$
$271$	5.81393	+	7.29044i	0.353171	+	0.442862i	−0.573234	+	0.819392i	$0.694311\pi$
$272$	−1.13410	−	4.96883i	−0.0687650	−	0.301279i
$273$	−7.62981	+	3.67432i	−0.461777	+	0.222380i
$274$	0.499433	−	0.626270i	0.0301719	−	0.0378343i
$275$	−1.70726	+	2.14084i	−0.102952	+	0.129097i
$276$	0.904893	−	3.96460i	0.0544682	−	0.238641i
$277$	21.7315	−	10.4654i	1.30572	−	0.628802i	0.353851	−	0.935302i	$-0.384872\pi$
$277$	21.7315	−	10.4654i	1.30572	−	0.628802i	0.951871	+	0.306499i	$0.0991577\pi$
$278$	16.7346	+	8.05894i	1.00367	+	0.483343i
$279$	0.775991	−	3.39984i	0.0464574	−	0.203543i
$280$	0.562170	−	2.46303i	0.0335961	−	0.147194i
$281$	−1.20661	−	0.581072i	−0.0719802	−	0.0346638i	0.397547	−	0.917582i	$-0.369861\pi$
$281$	−1.20661	−	0.581072i	−0.0719802	−	0.0346638i	−0.469528	+	0.882918i	$0.655576\pi$
$282$	−24.7792	+	11.9330i	−1.47558	+	0.710601i
$283$	3.44996	−	15.1152i	0.205079	−	0.898508i	−0.762709	−	0.646741i	$-0.776131\pi$
$283$	3.44996	−	15.1152i	0.205079	−	0.898508i	0.967788	−	0.251767i	$-0.0810115\pi$
$284$	4.73522	−	5.93778i	0.280984	−	0.352342i
$285$	−4.15951	+	5.21586i	−0.246388	+	0.308961i
$286$	3.25246	−	1.56630i	0.192322	−	0.0926173i
$287$	−1.13054	−	4.95321i	−0.0667335	−	0.292379i
$288$	−2.16023	−	2.70884i	−0.127293	−	0.159620i
$289$	−1.99722	−	8.75039i	−0.117483	−	0.514729i
$290$	1.82657	+	0.879628i	0.107260	+	0.0516535i
$291$	20.3537	−	25.5227i	1.19315	−	1.49617i
$292$	−6.09660	−	2.93597i	−0.356777	−	0.171815i
$293$	0.678663	+	0.851016i	0.0396479	+	0.0497169i	0.801260	−	0.598316i	$-0.204163\pi$
$293$	0.678663	+	0.851016i	0.0396479	+	0.0497169i	−0.761612	+	0.648033i	$0.775592\pi$
$294$	−1.56994			−0.0915608
$295$	−2.03414			−0.118432
$296$	−2.74855	−	3.44658i	−0.159756	−	0.200328i
$297$	−2.91518	+	1.40388i	−0.169156	+	0.0814611i
$298$	5.07483	−	22.2343i	0.293977	−	1.28800i
$299$	0.469195	+	2.05568i	0.0271342	+	0.118883i
$300$	−2.54259			−0.146796
$301$	15.6352	+	5.47638i	0.901196	+	0.315653i
$302$	−18.3857			−1.05798
$303$	−1.87769	−	8.22669i	−0.107870	−	0.472611i
$304$	−0.583859	+	2.55805i	−0.0334866	+	0.146714i
$305$	−12.2789	+	5.91318i	−0.703085	+	0.338588i
$306$	−11.0098	−	13.8059i	−0.629391	−	0.789231i
$307$	−29.8024			−1.70092			−0.850458	−	0.526044i	$-0.823675\pi$
$307$	−29.8024			−1.70092			−0.850458	+	0.526044i	$0.823675\pi$
$308$	−6.91779			−0.394178
$309$	10.7994	+	13.5420i	0.614356	+	0.770378i
$310$	−0.906828	−	0.436705i	−0.0515044	−	0.0248032i
$311$	−2.75854	+	3.45910i	−0.156422	+	0.196147i	−0.853867	−	0.520491i	$-0.825749\pi$
$311$	−2.75854	+	3.45910i	−0.156422	+	0.196147i	0.697445	+	0.716639i	$0.254320\pi$
$312$	3.02007	+	1.45439i	0.170978	+	0.0823385i
$313$	−6.29536	−	27.5818i	−0.355835	−	1.55901i	−0.763454	−	0.645862i	$-0.776498\pi$
$313$	−6.29536	−	27.5818i	−0.355835	−	1.55901i	0.407619	−	0.913152i	$-0.366359\pi$
$314$	6.66954	+	8.36334i	0.376384	+	0.471971i
$315$	−1.94777	−	8.53375i	−0.109745	−	0.480822i
$316$	4.61363	−	2.22181i	0.259537	−	0.124986i
$317$	16.5136	−	20.7074i	0.927495	−	1.16304i	−0.0588368	−	0.998268i	$-0.518739\pi$
$317$	16.5136	−	20.7074i	0.927495	−	1.16304i	0.986331	−	0.164774i	$-0.0526894\pi$
$318$	1.11121	−	1.39341i	0.0623135	−	0.0781386i
$319$	1.23528	−	5.41213i	0.0691626	−	0.303021i
$320$	−0.900969	+	0.433884i	−0.0503657	+	0.0242548i
$321$	−32.0638	−	15.4411i	−1.78963	−	0.861840i
$322$	0.899122	−	3.93931i	0.0501061	−	0.219529i
$323$	−2.97570	+	13.0374i	−0.165572	+	0.725420i
$324$	6.65798	+	3.20631i	0.369888	+	0.178129i
$325$	1.18779	−	0.572011i	0.0658870	−	0.0317295i
$326$	2.81268	−	12.3231i	0.155780	−	0.682516i
$327$	−10.8576	+	13.6150i	−0.600428	+	0.752913i
$328$	−1.25385	+	1.57228i	−0.0692325	+	0.0868148i
$329$	−24.6211	+	11.8569i	−1.35741	+	0.653693i
$330$	1.54923	+	6.78763i	0.0852825	+	0.373647i
$331$	−7.44431	−	9.33487i	−0.409176	−	0.513091i	0.533954	−	0.845513i	$-0.320705\pi$
$331$	−7.44431	−	9.33487i	−0.409176	−	0.513091i	−0.943131	+	0.332422i	$0.892134\pi$
$332$	−1.67626	−	7.34419i	−0.0919970	−	0.403065i
$333$	−13.7612	−	6.62703i	−0.754107	−	0.363159i
$334$	−2.42110	+	3.03597i	−0.132477	+	0.166121i
$335$	−11.4402	−	5.50929i	−0.625042	−	0.301005i
$336$	−4.00499	−	5.02210i	−0.218490	−	0.273978i
$337$	23.4681			1.27839			0.639194	−	0.769046i	$-0.279268\pi$
$337$	23.4681			1.27839			0.639194	+	0.769046i	$0.279268\pi$
$338$	11.2619			0.612569
$339$	19.4035	+	24.3313i	1.05386	+	1.32149i
$340$	−4.59189	+	2.21134i	−0.249030	+	0.119927i
$341$	−0.613277	+	2.68694i	−0.0332108	+	0.145506i
$342$	2.02292	+	8.86299i	0.109387	+	0.479256i
$343$	−19.2445			−1.03911
$344$	−2.16388	−	6.19012i	−0.116669	−	0.333749i
$345$	−4.06655			−0.218936
$346$	3.11788	+	13.6603i	0.167618	+	0.734384i
$347$	7.55321	−	33.0928i	0.405478	−	1.77651i	−0.199112	−	0.979977i	$-0.563806\pi$
$347$	7.55321	−	33.0928i	0.405478	−	1.77651i	0.604590	−	0.796537i	$-0.293337\pi$
$348$	4.64420	−	2.23653i	0.248955	−	0.119891i
$349$	10.5655	+	13.2487i	0.565558	+	0.709187i	0.979574	−	0.201082i	$-0.0644458\pi$
$349$	10.5655	+	13.2487i	0.565558	+	0.709187i	−0.414016	+	0.910269i	$0.635874\pi$
$350$	−2.52637			−0.135040
$351$	1.55782			0.0831501
$352$	1.70726	+	2.14084i	0.0909973	+	0.114107i
$353$	12.1606	+	5.85623i	0.647243	+	0.311696i	0.728549	−	0.684993i	$-0.240195\pi$
$353$	12.1606	+	5.85623i	0.647243	+	0.311696i	−0.0813064	+	0.996689i	$0.525909\pi$
$354$	−3.22467	+	4.04361i	−0.171389	+	0.214915i
$355$	−6.84259	−	3.29522i	−0.363167	−	0.174892i
$356$	0.521294	+	2.28394i	0.0276285	+	0.121048i
$357$	−20.4119	−	25.5957i	−1.08031	−	1.35467i
$358$	2.00837	+	8.79926i	0.106146	+	0.465056i
$359$	−24.2118	+	11.6598i	−1.27785	+	0.615381i	−0.944837	−	0.327541i	$-0.893780\pi$
$359$	−24.2118	+	11.6598i	−1.27785	+	0.615381i	−0.333014	+	0.942922i	$0.608066\pi$
$360$	−2.16023	+	2.70884i	−0.113854	+	0.142769i
$361$	−7.55387	+	9.47225i	−0.397572	+	0.498540i
$362$	−3.65441	+	16.0110i	−0.192071	+	0.841520i
$363$	−8.02253	+	3.86345i	−0.421074	+	0.202778i
$364$	3.00081	+	1.44511i	0.157285	+	0.0757445i
$365$	−1.50574	+	6.59706i	−0.0788139	+	0.345306i
$366$	−7.71071	+	33.7828i	−0.403045	+	1.76586i
$367$	−17.5361	−	8.44494i	−0.915377	−	0.440822i	−0.0839585	−	0.996469i	$-0.526756\pi$
$367$	−17.5361	−	8.44494i	−0.915377	−	0.440822i	−0.831418	+	0.555647i	$0.812471\pi$
$368$	−1.44099	+	0.693944i	−0.0751168	+	0.0361743i
$369$	−1.55045	+	6.79298i	−0.0807134	+	0.353628i
$370$	−2.74855	+	3.44658i	−0.142891	+	0.179179i
$371$	1.10412	−	1.38452i	0.0573231	−	0.0718809i
$372$	−2.30569	+	1.11036i	−0.119544	+	0.0575695i
$373$	−2.11947	−	9.28599i	−0.109742	−	0.480810i	−0.999694	−	0.0247556i	$-0.992119\pi$
$373$	−2.11947	−	9.28599i	−0.109742	−	0.480810i	0.889952	−	0.456055i	$-0.150738\pi$
$374$	8.70124	+	10.9110i	0.449930	+	0.564195i
$375$	0.565778	+	2.47884i	0.0292167	+	0.128007i
$376$	9.74566	+	4.69326i	0.502594	+	0.242037i
$377$	−1.66643	+	2.08963i	−0.0858254	+	0.107622i
$378$	−2.68962	−	1.29525i	−0.138339	−	0.0666207i
$379$	8.97254	+	11.2512i	0.460889	+	0.577936i	0.956914	−	0.290372i	$-0.0937791\pi$
$379$	8.97254	+	11.2512i	0.460889	+	0.577936i	−0.496025	+	0.868308i	$0.665208\pi$
$380$	2.62384			0.134600
$381$	53.0445			2.71755
$382$	−11.7499	−	14.7339i	−0.601179	−	0.753854i
$383$	23.9545	−	11.5359i	1.22402	−	0.589455i	0.293588	−	0.955932i	$-0.405151\pi$
$383$	23.9545	−	11.5359i	1.22402	−	0.589455i	0.930427	+	0.366477i	$0.119436\pi$
$384$	−0.565778	+	2.47884i	−0.0288723	+	0.126498i
$385$	1.53935	+	6.74434i	0.0784527	+	0.343724i
$386$	−0.0293031			−0.00149149
$387$	−16.0604	−	16.0703i	−0.816396	−	0.816898i
$388$	−12.8392			−0.651812
$389$	−6.62345	−	29.0192i	−0.335822	−	1.47133i	−0.807660	−	0.589649i	$-0.799266\pi$
$389$	−6.62345	−	29.0192i	−0.335822	−	1.47133i	0.471838	−	0.881686i	$-0.343591\pi$
$390$	0.745895	−	3.26798i	0.0377699	−	0.165481i
$391$	−7.34416	+	3.53676i	−0.371410	+	0.178862i
$392$	0.384979	+	0.482749i	0.0194444	+	0.0243825i
$393$	−44.6194			−2.25075
$394$	16.2594			0.819139
$395$	−3.19273	−	4.00356i	−0.160644	−	0.201441i
$396$	8.54773	+	4.11637i	0.429540	+	0.206855i
$397$	11.8635	−	14.8764i	0.595414	−	0.746626i	−0.389241	−	0.921136i	$-0.627263\pi$
$397$	11.8635	−	14.8764i	0.595414	−	0.746626i	0.984655	+	0.174510i	$0.0558341\pi$
$398$	22.8904	+	11.0235i	1.14739	+	0.552556i
$399$	3.75042	+	16.4317i	0.187756	+	0.822613i
$400$	0.623490	+	0.781831i	0.0311745	+	0.0390916i
$401$	0.210740	+	0.923314i	0.0105239	+	0.0461081i	0.979917	−	0.199405i	$-0.0639008\pi$
$401$	0.210740	+	0.923314i	0.0105239	+	0.0461081i	−0.969393	+	0.245513i	$0.921044\pi$
$402$	−29.0876	+	14.0078i	−1.45076	+	0.698647i
$403$	0.827324	−	1.03743i	0.0412120	−	0.0516782i
$404$	−2.06922	+	2.59472i	−0.102948	+	0.129092i
$405$	1.64439	−	7.20452i	0.0817102	−	0.357996i
$406$	4.61458	−	2.22226i	0.229018	−	0.110289i
$407$	10.8756	+	5.23744i	0.539086	+	0.259610i
$408$	−2.88355	+	12.6337i	−0.142757	+	0.625460i
$409$	−5.94092	+	26.0289i	−0.293760	+	1.28705i	0.585488	+	0.810681i	$0.300903\pi$
$409$	−5.94092	+	26.0289i	−0.293760	+	1.28705i	−0.879248	+	0.476365i	$0.841954\pi$
$410$	1.81187	+	0.872551i	0.0894819	+	0.0430922i
$411$	−1.83499	+	0.883684i	−0.0905134	+	0.0435889i
$412$	1.51588	−	6.64151i	0.0746821	−	0.327204i
$413$	−3.20410	+	4.01782i	−0.157664	+	0.197704i
$414$	−3.45502	+	4.33246i	−0.169805	+	0.212929i
$415$	−6.78706	+	3.26847i	−0.333163	+	0.160443i
$416$	−0.293361	−	1.28530i	−0.0143832	−	0.0630169i
$417$	−29.4449	−	36.9227i	−1.44192	−	1.80811i
$418$	−1.59874	−	7.00455i	−0.0781970	−	0.342604i
$419$	−2.03749	−	0.981202i	−0.0995378	−	0.0479349i	0.383452	−	0.923561i	$-0.374735\pi$
$419$	−2.03749	−	0.981202i	−0.0995378	−	0.0479349i	−0.482990	+	0.875626i	$0.660449\pi$
$420$	−4.00499	+	5.02210i	−0.195424	+	0.245053i
$421$	−0.250018	−	0.120402i	−0.0121851	−	0.00586806i	0.427781	−	0.903882i	$-0.359295\pi$
$421$	−0.250018	−	0.120402i	−0.0121851	−	0.00586806i	−0.439966	+	0.898014i	$0.645010\pi$
$422$	2.33763	+	2.93130i	0.113794	+	0.142693i
$423$	37.4776			1.82223
$424$	−0.700956			−0.0340414
$425$	3.17768	+	3.98469i	0.154140	+	0.193286i
$426$	−17.3979	+	8.37837i	−0.842929	+	0.405933i
$427$	−7.66153	+	33.5674i	−0.370768	+	1.62444i
$428$	3.11459	+	13.6459i	0.150549	+	0.659600i
$429$	−9.17862			−0.443148
$430$	−5.55341	+	3.48706i	−0.267809	+	0.168161i
$431$	10.9269			0.526331			0.263165	−	0.964751i	$-0.415234\pi$
$431$	10.9269			0.526331			0.263165	+	0.964751i	$0.415234\pi$
$432$	0.262939	+	1.15201i	0.0126507	+	0.0554262i
$433$	6.56583	−	28.7668i	0.315534	−	1.38244i	−0.529762	−	0.848146i	$-0.677719\pi$
$433$	6.56583	−	28.7668i	0.315534	−	1.38244i	0.845296	−	0.534298i	$-0.179424\pi$
$434$	−2.29098	+	1.10328i	−0.109971	+	0.0529591i
$435$	−3.21389	−	4.03009i	−0.154094	−	0.193228i
$436$	6.84904			0.328010
$437$	4.19651			0.200746
$438$	10.7271	+	13.4514i	0.512561	+	0.642732i
$439$	17.0992	+	8.23453i	0.816100	+	0.393013i	0.794884	−	0.606762i	$-0.207532\pi$
$439$	17.0992	+	8.23453i	0.816100	+	0.393013i	0.0212161	+	0.999775i	$0.493246\pi$
$440$	1.70726	−	2.14084i	0.0813904	−	0.102060i
$441$	1.92747	+	0.928222i	0.0917844	+	0.0442010i
$442$	−1.49515	−	6.55066i	−0.0711168	−	0.311583i
$443$	6.52314	+	8.17975i	0.309924	+	0.388632i	0.912261	−	0.409610i	$-0.134335\pi$
$443$	6.52314	+	8.17975i	0.309924	+	0.388632i	−0.602337	+	0.798242i	$0.705764\pi$
$444$	2.49414	+	10.9276i	0.118367	+	0.518599i
$445$	2.11068	−	1.01645i	0.100056	−	0.0481842i
$446$	−14.2888	+	17.9176i	−0.676593	+	0.848421i
$447$	−36.1539	+	45.3355i	−1.71002	+	2.14430i
$448$	−0.562170	+	2.46303i	−0.0265600	+	0.116367i
$449$	29.5414	−	14.2264i	1.39415	−	0.671386i	0.422182	−	0.906511i	$-0.361264\pi$
$449$	29.5414	−	14.2264i	1.39415	−	0.671386i	0.971965	+	0.235126i	$0.0755502\pi$
$450$	3.12162	+	1.50329i	0.147155	+	0.0708660i
$451$	1.22535	−	5.36859i	0.0576993	−	0.252797i
$452$	2.72362	−	11.9330i	0.128108	−	0.561280i
$453$	42.1178	+	20.2828i	1.97886	+	0.952971i
$454$	−5.69948	+	2.74473i	−0.267490	+	0.128816i
$455$	0.741138	−	3.24714i	0.0347451	−	0.152228i
$456$	4.15951	−	5.21586i	0.194787	−	0.244255i
$457$	−7.84321	+	9.83507i	−0.366890	+	0.460065i	−0.930670	−	0.365860i	$-0.880775\pi$
$457$	−7.84321	+	9.83507i	−0.366890	+	0.460065i	0.563780	+	0.825925i	$0.309346\pi$
$458$	−6.67821	+	3.21606i	−0.312052	+	0.150277i
$459$	1.34010	+	5.87136i	0.0625505	+	0.274052i
$460$	0.997196	+	1.25044i	0.0464945	+	0.0583022i
$461$	−0.235616	−	1.03230i	−0.0109737	−	0.0480791i	0.969145	−	0.246493i	$-0.0792782\pi$
$461$	−0.235616	−	1.03230i	−0.0109737	−	0.0480791i	−0.980118	+	0.198414i	$0.936421\pi$
$462$	15.8472	+	7.63161i	0.737278	+	0.355055i
$463$	1.47475	−	1.84928i	0.0685374	−	0.0859431i	−0.746381	−	0.665519i	$-0.768210\pi$
$463$	1.47475	−	1.84928i	0.0685374	−	0.0859431i	0.814918	+	0.579576i	$0.196782\pi$
$464$	−1.82657	−	0.879628i	−0.0847962	−	0.0408357i
$465$	1.59559	+	2.00080i	0.0739935	+	0.0927849i
$466$	0.416642			0.0193006
$467$	1.28034			0.0592469			0.0296235	−	0.999561i	$-0.490569\pi$
$467$	1.28034			0.0592469			0.0296235	+	0.999561i	$0.490569\pi$
$468$	−2.84794	−	3.57121i	−0.131646	−	0.165079i
$469$	−28.9021	+	13.9185i	−1.33457	+	0.642696i
$470$	2.40698	−	10.5457i	0.111026	−	0.486435i
$471$	−6.05220	−	26.5164i	−0.278871	−	1.22181i
$472$	2.03414			0.0936288
$473$	12.6928	+	12.7006i	0.583614	+	0.583973i
$474$	−13.0199			−0.598025
$475$	−0.583859	−	2.55805i	−0.0267893	−	0.117372i
$476$	−2.86516	+	12.5531i	−0.131324	+	0.575370i
$477$	−2.18812	+	1.05374i	−0.100187	+	0.0482476i
$478$	−14.0354	−	17.5998i	−0.641963	−	0.804996i
$479$	−10.5060			−0.480032			−0.240016	−	0.970769i	$-0.577153\pi$
$479$	−10.5060			−0.480032			−0.240016	+	0.970769i	$0.577153\pi$
$480$	2.54259			0.116053
$481$	−3.62356	−	4.54380i	−0.165220	−	0.207180i
$482$	−18.2088	−	8.76892i	−0.829390	−	0.399413i
$483$	−6.40550	+	8.03224i	−0.291460	+	0.365479i
$484$	3.15526	+	1.51950i	0.143421	+	0.0690680i
$485$	2.85699	+	12.5173i	0.129729	+	0.568382i
$486$	−13.9251	−	17.4615i	−0.631655	−	0.792070i
$487$	4.34693	+	19.0451i	0.196978	+	0.863018i	0.972723	+	0.231971i	$0.0745174\pi$
$487$	4.34693	+	19.0451i	0.196978	+	0.863018i	−0.775744	+	0.631047i	$0.782625\pi$
$488$	12.2789	−	5.91318i	0.555837	−	0.267677i
$489$	−20.0380	+	25.1268i	−0.906149	+	1.13627i
$490$	0.384979	−	0.482749i	0.0173916	−	0.0218084i
$491$	5.21820	−	22.8624i	0.235494	−	1.03177i	−0.709507	−	0.704699i	$-0.751082\pi$
$491$	5.21820	−	22.8624i	0.235494	−	1.03177i	0.945001	−	0.327068i	$-0.106061\pi$
$492$	4.60683	−	2.21853i	0.207692	−	0.100019i
$493$	−9.30929	−	4.48312i	−0.419270	−	0.201910i
$494$	−0.769732	+	3.37242i	−0.0346319	+	0.151732i
$495$	2.11111	−	9.24940i	0.0948876	−	0.415730i
$496$	0.906828	+	0.436705i	0.0407178	+	0.0196086i
$497$	−17.2869	+	8.32494i	−0.775424	+	0.373424i
$498$	−4.26204	+	18.6732i	−0.190987	+	0.836768i
$499$	−5.74107	+	7.19907i	−0.257006	+	0.322275i	−0.893549	−	0.448966i	$-0.851792\pi$
$499$	−5.74107	+	7.19907i	−0.257006	+	0.322275i	0.636543	+	0.771241i	$0.280364\pi$
$500$	0.623490	−	0.781831i	0.0278833	−	0.0349646i
$501$	8.89547	−	4.28383i	0.397420	−	0.191388i
$502$	−1.00847	−	4.41841i	−0.0450103	−	0.197203i
$503$	16.0495	+	20.1254i	0.715610	+	0.897346i	0.998081	−	0.0619295i	$-0.0197254\pi$
$503$	16.0495	+	20.1254i	0.715610	+	0.897346i	−0.282471	+	0.959276i	$0.591154\pi$
$504$	1.94777	+	8.53375i	0.0867607	+	0.380123i
$505$	2.99011	+	1.43996i	0.133058	+	0.0640774i
$506$	2.73055	−	3.42401i	0.121388	−	0.152216i
$507$	−25.7988	−	12.4240i	−1.14576	−	0.551770i
$508$	−13.0075	−	16.3109i	−0.577115	−	0.723680i
$509$	23.9393			1.06109			0.530545	−	0.847657i	$-0.321987\pi$
$509$	23.9393			1.06109			0.530545	+	0.847657i	$0.321987\pi$
$510$	12.9586			0.573815
$511$	10.6587	+	13.3656i	0.471513	+	0.591259i
$512$	0.900969	−	0.433884i	0.0398176	−	0.0191751i
$513$	0.689911	−	3.02270i	0.0304603	−	0.133455i
$514$	−1.66960	−	7.31501i	−0.0736430	−	0.322651i
$515$	−6.81231			−0.300186
$516$	−1.87186	+	16.5674i	−0.0824039	+	0.729341i
$517$	−29.6191			−1.30265
$518$	2.47824	+	10.8579i	0.108887	+	0.477067i
$519$	7.92748	−	34.7326i	0.347978	−	1.52459i
$520$	−1.18779	+	0.572011i	−0.0520882	+	0.0250844i
$521$	−18.0691	−	22.6579i	−0.791620	−	0.992661i	−0.999894	−	0.0145899i	$-0.995356\pi$
$521$	−18.0691	−	22.6579i	−0.791620	−	0.992661i	0.208273	−	0.978071i	$-0.433216\pi$
$522$	−7.02419			−0.307440
$523$	−26.0703			−1.13998			−0.569988	−	0.821653i	$-0.693052\pi$
$523$	−26.0703			−1.13998			−0.569988	+	0.821653i	$0.693052\pi$
$524$	10.9415	+	13.7202i	0.477982	+	0.599371i
$525$	5.78738	+	2.78706i	0.252582	+	0.121637i
$526$	16.6242	−	20.8461i	0.724851	−	0.908935i
$527$	4.62175	+	2.22572i	0.201326	+	0.0969537i
$528$	−1.54923	−	6.78763i	−0.0674217	−	0.295394i
$529$	−12.7454	−	15.9822i	−0.554147	−	0.694878i
$530$	0.155977	+	0.683381i	0.00677522	+	0.0296842i
$531$	6.34981	−	3.05791i	0.275558	−	0.132702i
$532$	4.13298	−	5.18259i	0.179187	−	0.224694i
$533$	−1.65302	+	2.07282i	−0.0716002	+	0.0897839i
$534$	1.32543	−	5.80711i	0.0573571	−	0.251298i
$535$	12.6107	−	6.07301i	0.545209	−	0.262559i
$536$	11.4402	+	5.50929i	0.494139	+	0.237965i
$537$	5.10646	−	22.3729i	0.220360	−	0.965461i
$538$	−2.32412	+	10.1826i	−0.100200	+	0.439005i
$539$	−1.52331	−	0.733587i	−0.0656136	−	0.0315978i
$540$	1.06462	−	0.512694i	0.0458139	−	0.0220628i
$541$	2.02474	−	8.87095i	0.0870502	−	0.381392i	−0.912571	−	0.408919i	$-0.865906\pi$
$541$	2.02474	−	8.87095i	0.0870502	−	0.381392i	0.999621	+	0.0275267i	$0.00876313\pi$
$542$	−5.81393	+	7.29044i	−0.249730	+	0.313151i
$543$	26.0346	−	32.6464i	1.11725	−	1.40099i
$544$	4.59189	−	2.21134i	0.196875	−	0.0948102i
$545$	−1.52406	−	6.67733i	−0.0652834	−	0.286025i
$546$	−5.27999	−	6.62090i	−0.225963	−	0.283348i
$547$	7.81392	+	34.2350i	0.334099	+	1.46378i	0.811114	+	0.584888i	$0.198862\pi$
$547$	7.81392	+	34.2350i	0.334099	+	1.46378i	−0.477015	+	0.878895i	$0.658281\pi$
$548$	0.721702	+	0.347554i	0.0308296	+	0.0148467i
$549$	29.4407	−	36.9174i	1.25650	−	1.57560i
$550$	−2.46706	−	1.18807i	−0.105196	−	0.0506597i
$551$	3.31659	+	4.15888i	0.141292	+	0.177174i
$552$	4.06655			0.173084
$553$	−12.9369			−0.550133
$554$	15.0387	+	18.8579i	0.638933	+	0.801196i
$555$	10.0986	−	4.86322i	0.428661	−	0.206432i
$556$	−4.13310	+	18.1083i	−0.175282	+	0.767962i
$557$	1.84306	+	8.07499i	0.0780931	+	0.342148i	0.998848	−	0.0479942i	$-0.0152829\pi$
$557$	1.84306	+	8.07499i	0.0780931	+	0.342148i	−0.920754	+	0.390142i	$0.872426\pi$
$558$	3.48727			0.147628
$559$	−2.85276	−	8.16076i	−0.120659	−	0.345163i
$560$	2.52637			0.106759
$561$	−7.89584	−	34.5939i	−0.333362	−	1.46056i
$562$	0.298008	−	1.30566i	0.0125707	−	0.0550758i
$563$	−23.9574	+	11.5373i	−1.00968	+	0.486237i	−0.864213	−	0.503125i	$-0.832183\pi$
$563$	−23.9574	+	11.5373i	−1.00968	+	0.486237i	−0.145469	+	0.989363i	$0.546469\pi$
$564$	−17.1477	−	21.5026i	−0.722049	−	0.905421i
$565$	−12.2398			−0.514934
$566$	15.5040			0.651680
$567$	−11.6402	−	14.5963i	−0.488841	−	0.612987i
$568$	6.84259	+	3.29522i	0.287109	+	0.138264i
$569$	−8.70573	+	10.9166i	−0.364963	+	0.457650i	−0.930078	−	0.367363i	$-0.880261\pi$
$569$	−8.70573	+	10.9166i	−0.364963	+	0.457650i	0.565114	+	0.825013i	$0.308832\pi$
$570$	−6.01066	−	2.89458i	−0.251759	−	0.121241i
$571$	3.67759	+	16.1126i	0.153902	+	0.674291i	0.991729	+	0.128353i	$0.0409692\pi$
$571$	3.67759	+	16.1126i	0.153902	+	0.674291i	−0.837826	+	0.545937i	$0.816174\pi$
$572$	2.25077	+	2.82238i	0.0941094	+	0.118009i
$573$	10.6623	+	46.7147i	0.445425	+	1.95154i
$574$	4.57745	−	2.20439i	0.191059	−	0.0920093i
$575$	0.997196	−	1.25044i	0.0415859	−	0.0521471i
$576$	2.16023	−	2.70884i	0.0900096	−	0.112868i
$577$	6.52772	−	28.5998i	0.271752	−	1.19063i	−0.636191	−	0.771532i	$-0.719491\pi$
$577$	6.52772	−	28.5998i	0.271752	−	1.19063i	0.907943	−	0.419093i	$-0.137652\pi$
$578$	8.08657	−	3.89429i	0.336357	−	0.161981i
$579$	0.0671273	+	0.0323268i	0.00278972	+	0.00134346i
$580$	−0.451125	+	1.97651i	−0.0187319	+	0.0820699i
$581$	−4.23486	+	18.5541i	−0.175692	+	0.769756i
$582$	29.4119	+	14.1640i	1.21916	+	0.587119i
$583$	1.72930	−	0.832788i	0.0716204	−	0.0344905i
$584$	1.50574	−	6.59706i	0.0623078	−	0.272988i
$585$	−2.84794	+	3.57121i	−0.117748	+	0.147651i
$586$	−0.678663	+	0.851016i	−0.0280353	+	0.0351552i
$587$	12.4216	−	5.98191i	0.512693	−	0.246900i	−0.159605	−	0.987181i	$-0.551022\pi$
$587$	12.4216	−	5.98191i	0.512693	−	0.246900i	0.672297	+	0.740281i	$0.265308\pi$
$588$	−0.349345	−	1.53058i	−0.0144067	−	0.0631200i
$589$	−1.64658	−	2.06474i	−0.0678460	−	0.0850761i
$590$	−0.452638	−	1.98314i	−0.0186348	−	0.0816445i
$591$	−37.2470	−	17.9372i	−1.53214	−	0.737838i
$592$	2.74855	−	3.44658i	0.112965	−	0.141653i
$593$	−16.4341	−	7.91424i	−0.674867	−	0.324999i	0.0648713	−	0.997894i	$-0.479336\pi$
$593$	−16.4341	−	7.91424i	−0.674867	−	0.324999i	−0.739738	+	0.672895i	$0.765051\pi$
$594$	−2.01737	−	2.52970i	−0.0827735	−	0.103795i
$595$	12.8759			0.527861
$596$	22.8061			0.934173
$597$	−40.2763	−	50.5048i	−1.64840	−	2.06703i
$598$	−1.89973	+	0.914862i	−0.0776858	+	0.0374115i
$599$	3.70533	−	16.2341i	0.151396	−	0.663308i	−0.841085	−	0.540904i	$-0.818082\pi$
$599$	3.70533	−	16.2341i	0.151396	−	0.663308i	0.992480	−	0.122404i	$-0.0390604\pi$
$600$	−0.565778	−	2.47884i	−0.0230978	−	0.101198i
$601$	−7.03347			−0.286901			−0.143451	−	0.989657i	$-0.545820\pi$
$601$	−7.03347			−0.286901			−0.143451	+	0.989657i	$0.545820\pi$
$602$	−1.85992	+	16.4618i	−0.0758046	+	0.670932i
$603$	43.9939			1.79157
$604$	−4.09120	−	17.9247i	−0.166469	−	0.729347i
$605$	0.779286	−	3.41427i	0.0316825	−	0.138810i
$606$	7.60261	−	3.66122i	0.308835	−	0.148727i
$607$	18.1372	+	22.7434i	0.736167	+	0.923124i	0.999131	−	0.0416815i	$-0.0132715\pi$
$607$	18.1372	+	22.7434i	0.736167	+	0.923124i	−0.262964	+	0.964806i	$0.584700\pi$
$608$	−2.62384			−0.106411
$609$	−13.0226			−0.527703
$610$	−8.49723	−	10.6552i	−0.344043	−	0.431416i
$611$	12.8482	+	6.18737i	0.519783	+	0.250314i
$612$	11.0098	−	13.8059i	0.445047	−	0.558071i
$613$	−37.1536	−	17.8922i	−1.50062	−	0.722661i	−0.510112	−	0.860108i	$-0.670396\pi$
$613$	−37.1536	−	17.8922i	−1.50062	−	0.722661i	−0.990509	+	0.137447i	$0.956110\pi$
$614$	−6.63167	−	29.0552i	−0.267632	−	1.17257i
$615$	−3.18803	−	3.99766i	−0.128554	−	0.161201i
$616$	−1.53935	−	6.74434i	−0.0620223	−	0.271737i
$617$	18.6427	−	8.97785i	0.750527	−	0.361435i	−0.0191935	−	0.999816i	$-0.506110\pi$
$617$	18.6427	−	8.97785i	0.750527	−	0.361435i	0.769721	+	0.638381i	$0.220396\pi$
$618$	−10.7994	+	13.5420i	−0.434415	+	0.544739i
$619$	−13.2973	+	16.6743i	−0.534465	+	0.670197i	−0.973610	−	0.228219i	$-0.926710\pi$
$619$	−13.2973	+	16.6743i	−0.534465	+	0.670197i	0.439145	+	0.898416i	$0.355281\pi$
$620$	0.223968	−	0.981268i	0.00899477	−	0.0394087i
$621$	1.70273	−	0.819991i	0.0683282	−	0.0329051i
$622$	−3.98620	−	1.91965i	−0.159832	−	0.0769711i
$623$	1.31698	−	5.77007i	0.0527637	−	0.231173i
$624$	−0.745895	+	3.26798i	−0.0298597	+	0.130824i
$625$	−0.900969	−	0.433884i	−0.0360388	−	0.0173553i
$626$	25.4894	−	12.2750i	1.01876	−	0.490610i
$627$	−4.06494	+	17.8097i	−0.162338	+	0.711249i
$628$	−6.66954	+	8.36334i	−0.266144	+	0.333734i
$629$	14.0083	−	17.5659i	0.558548	−	0.700397i
$630$	7.88637	−	3.79788i	0.314201	−	0.151311i
$631$	−0.242598	−	1.06289i	−0.00965768	−	0.0423130i	0.969869	−	0.243625i	$-0.0783366\pi$
$631$	−0.242598	−	1.06289i	−0.00965768	−	0.0423130i	−0.979527	+	0.201312i	$0.935479\pi$
$632$	3.19273	+	4.00356i	0.127000	+	0.159253i
$633$	−2.12126	−	9.29384i	−0.0843125	−	0.369397i
$634$	23.8628	+	11.4917i	0.947713	+	0.456394i
$635$	−13.0075	+	16.3109i	−0.516188	+	0.647279i
$636$	1.60574	+	0.773285i	0.0636718	+	0.0306627i
$637$	0.507538	+	0.636432i	0.0201094	+	0.0252164i
$638$	5.55132			0.219779
$639$	26.3137			1.04095
$640$	−0.623490	−	0.781831i	−0.0246456	−	0.0309046i
$641$	−11.9960	+	5.77698i	−0.473815	+	0.228177i	−0.655523	−	0.755175i	$-0.727552\pi$
$641$	−11.9960	+	5.77698i	−0.473815	+	0.228177i	0.181708	+	0.983353i	$0.441837\pi$
$642$	7.91912	−	34.6959i	0.312543	−	1.36934i
$643$	−0.555838	−	2.43529i	−0.0219201	−	0.0960383i	0.962785	−	0.270270i	$-0.0871130\pi$
$643$	−0.555838	−	2.43529i	−0.0219201	−	0.0960383i	−0.984705	+	0.174232i	$0.944256\pi$
$644$	4.04062			0.159223
$645$	16.5686	−	1.86168i	0.652387	−	0.0733034i
$646$	−13.3727			−0.526141
$647$	6.63947	+	29.0894i	0.261024	+	1.14362i	0.920143	+	0.391583i	$0.128072\pi$
$647$	6.63947	+	29.0894i	0.261024	+	1.14362i	−0.659118	+	0.752039i	$0.729070\pi$
$648$	−1.64439	+	7.20452i	−0.0645976	+	0.283020i
$649$	−5.01835	+	2.41671i	−0.196987	+	0.0948641i
$650$	0.821979	+	1.03073i	0.0322407	+	0.0404285i
$651$	6.46528			0.253394
$652$	12.6401			0.495023
$653$	18.4772	+	23.1697i	0.723070	+	0.906701i	0.998507	−	0.0546183i	$-0.0173942\pi$
$653$	18.4772	+	23.1697i	0.723070	+	0.906701i	−0.275438	+	0.961319i	$0.588823\pi$
$654$	−15.6897	−	7.55577i	−0.613517	−	0.295454i
$655$	10.9415	−	13.7202i	0.427520	−	0.536094i
$656$	−1.81187	−	0.872551i	−0.0707417	−	0.0340674i
$657$	−5.21698	−	22.8571i	−0.203534	−	0.891741i
$658$	−17.0384	−	21.3654i	−0.664224	−	0.832911i
$659$	5.84535	+	25.6102i	0.227703	+	0.997630i	0.951508	+	0.307625i	$0.0995344\pi$
$659$	5.84535	+	25.6102i	0.227703	+	0.997630i	−0.723805	+	0.690005i	$0.757608\pi$
$660$	−6.27272	+	3.02078i	−0.244165	+	0.117584i
$661$	3.64650	−	4.57257i	0.141832	−	0.177852i	−0.705842	−	0.708370i	$-0.749431\pi$
$661$	3.64650	−	4.57257i	0.141832	−	0.177852i	0.847674	+	0.530518i	$0.178002\pi$
$662$	7.44431	−	9.33487i	0.289331	−	0.362810i
$663$	−3.80154	+	16.6556i	−0.147639	+	0.646850i
$664$	6.78706	−	3.26847i	0.263389	−	0.126841i
$665$	−5.97233	−	2.87612i	−0.231597	−	0.111531i
$666$	3.39873	−	14.8908i	0.131698	−	0.577007i
$667$	−0.721519	+	3.16118i	−0.0279373	+	0.122401i
$668$	−3.49859	−	1.68483i	−0.135365	−	0.0651882i
$669$	52.4990	−	25.2822i	2.02973	−	0.977466i
$670$	2.82549	−	12.3793i	0.109158	−	0.478253i
$671$	−23.2674	+	29.1764i	−0.898228	+	1.12634i
$672$	4.00499	−	5.02210i	0.154496	−	0.193732i
$673$	42.2537	−	20.3483i	1.62876	−	0.784370i	0.628784	−	0.777580i	$-0.283553\pi$
$673$	42.2537	−	20.3483i	1.62876	−	0.784370i	0.999977	−	0.00679019i	$-0.00216140\pi$
$674$	5.22214	+	22.8797i	0.201149	+	0.881293i
$675$	−0.736740	−	0.923842i	−0.0283571	−	0.0355587i
$676$	2.50602	+	10.9796i	0.0963854	+	0.422292i
$677$	24.5796	+	11.8369i	0.944670	+	0.454929i	0.841814	−	0.539767i	$-0.181488\pi$
$677$	24.5796	+	11.8369i	0.944670	+	0.454929i	0.102856	+	0.994696i	$0.467202\pi$
$678$	−19.4035	+	24.3313i	−0.745188	+	0.934436i
$679$	29.2244	+	14.0737i	1.12153	+	0.540099i
$680$	−3.17768	−	3.98469i	−0.121859	−	0.152806i
$681$	16.0843			0.616350
$682$	−2.75604			−0.105534
$683$	18.9610	+	23.7763i	0.725522	+	0.909776i	0.998636	−	0.0522058i	$-0.0166252\pi$
$683$	18.9610	+	23.7763i	0.725522	+	0.909776i	−0.273114	+	0.961982i	$0.588054\pi$
$684$	−8.19063	+	3.94440i	−0.313177	+	0.150818i
$685$	0.178246	−	0.780946i	0.00681042	−	0.0298384i
$686$	−4.28231	−	18.7620i	−0.163499	−	0.716337i
$687$	18.8463			0.719031
$688$	5.55341	−	3.48706i	0.211722	−	0.132943i
$689$	−0.924106			−0.0352056
$690$	−0.904893	−	3.96460i	−0.0344487	−	0.150930i
$691$	−4.14270	+	18.1504i	−0.157596	+	0.690473i	0.832957	+	0.553338i	$0.186646\pi$
$691$	−4.14270	+	18.1504i	−0.157596	+	0.690473i	−0.990552	+	0.137134i	$0.956211\pi$
$692$	−12.6241	+	6.07942i	−0.479894	+	0.231105i
$693$	−14.9440	−	18.7392i	−0.567676	−	0.711843i
$694$	33.9438			1.28849
$695$	18.5740			0.704551
$696$	3.21389	+	4.03009i	0.121822	+	0.152760i
$697$	−9.23439	−	4.44705i	−0.349778	−	0.168444i
$698$	−10.5655	+	13.2487i	−0.399910	+	0.501471i
$699$	−0.954440	−	0.459634i	−0.0361002	−	0.0173850i
$700$	−0.562170	−	2.46303i	−0.0212480	−	0.0930937i
$701$	5.88605	+	7.38087i	0.222313	+	0.278772i	0.880463	−	0.474115i	$-0.157232\pi$
$701$	5.88605	+	7.38087i	0.222313	+	0.278772i	−0.658150	+	0.752887i	$0.728661\pi$
$702$	0.346647	+	1.51876i	0.0130833	+	0.0573218i
$703$	−10.4213	+	5.01863i	−0.393047	+	0.189281i
$704$	−1.70726	+	2.14084i	−0.0643448	+	0.0806858i
$705$	−17.1477	+	21.5026i	−0.645821	+	0.809834i
$706$	−3.00342	+	13.1588i	−0.113035	+	0.495239i
$707$	7.55412	−	3.63787i	0.284102	−	0.136816i
$708$	−4.65978	−	2.24403i	−0.175125	−	0.0843359i
$709$	6.80724	−	29.8245i	0.255651	−	1.12008i	−0.670196	−	0.742184i	$-0.733790\pi$
$709$	6.80724	−	29.8245i	0.255651	−	1.12008i	0.925847	−	0.377898i	$-0.123353\pi$
$710$	1.68998	−	7.40429i	0.0634238	−	0.277878i
$711$	15.9850	+	7.69798i	0.599485	+	0.288697i
$712$	−2.11068	+	1.01645i	−0.0791009	+	0.0380930i
$713$	0.358209	−	1.56942i	0.0134150	−	0.0587752i
$714$	20.4119	−	25.5957i	0.763895	−	0.957894i
$715$	2.25077	−	2.82238i	0.0841740	−	0.105551i
$716$	−8.13174	+	3.91604i	−0.303897	+	0.146349i
$717$	12.7362	+	55.8010i	0.475643	+	2.08393i
$718$	−16.7551	−	21.0102i	−0.625295	−	0.784095i
$719$	−0.499921	−	2.19030i	−0.0186439	−	0.0816843i	0.964750	−	0.263168i	$-0.0847673\pi$
$719$	−0.499921	−	2.19030i	−0.0186439	−	0.0816843i	−0.983394	+	0.181483i	$0.941910\pi$
$720$	−3.12162	−	1.50329i	−0.116336	−	0.0560245i
$721$	−10.7305	+	13.4556i	−0.399625	+	0.501114i
$722$	−10.9157	−	5.25670i	−0.406239	−	0.195634i
$723$	32.0389	+	40.1755i	1.19154	+	1.49414i
$724$	−16.4228			−0.610347
$725$	2.02734			0.0752934
$726$	−5.55176	−	6.96169i	−0.206045	−	0.258372i
$727$	−10.4533	+	5.03402i	−0.387690	+	0.186702i	−0.617567	−	0.786518i	$-0.711882\pi$
$727$	−10.4533	+	5.03402i	−0.387690	+	0.186702i	0.229878	+	0.973220i	$0.426167\pi$
$728$	−0.741138	+	3.24714i	−0.0274684	+	0.120347i
$729$	7.70300	+	33.7491i	0.285296	+	1.24997i
$730$	−6.76672			−0.250448
$731$	28.3036	−	17.7722i	1.04685	−	0.657328i
$732$	−34.6516			−1.28076
$733$	4.97500	+	21.7969i	0.183756	+	0.805087i	0.979821	+	0.199876i	$0.0640541\pi$
$733$	4.97500	+	21.7969i	0.183756	+	0.805087i	−0.796065	+	0.605211i	$0.793089\pi$
$734$	4.33106	−	18.9756i	0.159862	−	0.700402i
$735$	−1.41447	+	0.681172i	−0.0521734	+	0.0251254i
$736$	−0.997196	−	1.25044i	−0.0367571	−	0.0460920i
$737$	−34.7690			−1.28073
$738$	−6.96768			−0.256484
$739$	−8.21316	−	10.2990i	−0.302126	−	0.378854i	0.607474	−	0.794340i	$-0.292183\pi$
$739$	−8.21316	−	10.2990i	−0.302126	−	0.378854i	−0.909600	+	0.415486i	$0.863612\pi$
$740$	−3.97178	−	1.91271i	−0.146005	−	0.0703125i
$741$	5.48370	−	6.87634i	0.201449	−	0.252609i
$742$	1.59550	+	0.768353i	0.0585727	+	0.0282071i
$743$	−8.94805	−	39.2040i	−0.328272	−	1.43825i	−0.822422	−	0.568877i	$-0.807378\pi$
$743$	−8.94805	−	39.2040i	−0.328272	−	1.43825i	0.494150	−	0.869376i	$-0.335479\pi$
$744$	−1.59559	−	2.00080i	−0.0584970	−	0.0733529i
$745$	−5.07483	−	22.2343i	−0.185927	−	0.814600i
$746$	8.58155	−	4.13265i	0.314193	−	0.151307i
$747$	16.2731	−	20.4059i	0.595403	−	0.746612i
$748$	−8.70124	+	10.9110i	−0.318149	+	0.398946i
$749$	7.86861	−	34.4746i	0.287513	−	1.25968i
$750$	−2.29079	+	1.10319i	−0.0836478	+	0.0402827i
$751$	31.4195	+	15.1308i	1.14651	+	0.552132i	0.907985	−	0.419003i	$-0.137620\pi$
$751$	31.4195	+	15.1308i	1.14651	+	0.552132i	0.238530	+	0.971135i	$0.423335\pi$
$752$	−2.40698	+	10.5457i	−0.0877735	+	0.384561i
$753$	−2.56413	+	11.2342i	−0.0934420	+	0.409396i
$754$	−2.40806	−	1.15966i	−0.0876963	−	0.0422323i
$755$	−16.5649	+	7.97725i	−0.602860	+	0.290322i
$756$	0.664282	−	2.91041i	0.0241597	−	0.105851i
$757$	−8.41805	+	10.5559i	−0.305959	+	0.383661i	−0.910912	−	0.412601i	$-0.864621\pi$
$757$	−8.41805	+	10.5559i	−0.305959	+	0.383661i	0.604953	+	0.796261i	$0.293192\pi$
$758$	−8.97254	+	11.2512i	−0.325897	+	0.408663i
$759$	−10.0324	+	4.83137i	−0.364155	+	0.175368i
$760$	0.583859	+	2.55805i	0.0211788	+	0.0927904i
$761$	12.3374	+	15.4706i	0.447231	+	0.560810i	0.953433	−	0.301605i	$-0.0975225\pi$
$761$	12.3374	+	15.4706i	0.447231	+	0.560810i	−0.506202	+	0.862415i	$0.668951\pi$
$762$	11.8035	+	51.7146i	0.427596	+	1.87342i
$763$	−15.5897	−	7.50758i	−0.564384	−	0.271793i
$764$	11.7499	−	14.7339i	0.425097	−	0.533055i
$765$	−15.9097	−	7.66170i	−0.575216	−	0.277009i
$766$	16.5770	+	20.7869i	0.598951	+	0.751061i
$767$	2.68171			0.0968309
$768$	−2.54259			−0.0917476
$769$	23.0219	+	28.8685i	0.830191	+	1.04103i	0.998471	+	0.0552869i	$0.0176073\pi$
$769$	23.0219	+	28.8685i	0.830191	+	1.04103i	−0.168280	+	0.985739i	$0.553821\pi$
$770$	−6.23271	+	3.00152i	−0.224611	+	0.108167i
$771$	−4.24511	+	18.5990i	−0.152884	+	0.669827i
$772$	−0.00652056	−	0.0285684i	−0.000234680	−	0.00102820i
$773$	33.3220			1.19851			0.599254	−	0.800559i	$-0.295464\pi$
$773$	33.3220			1.19851			0.599254	+	0.800559i	$0.295464\pi$
$774$	12.0936	−	19.2337i	0.434695	−	0.691341i
$775$	−1.00650			−0.0361547
$776$	−2.85699	−	12.5173i	−0.102560	−	0.449345i
$777$	6.30113	−	27.6070i	0.226052	−	0.990397i
$778$	26.8178	−	12.9148i	0.961465	−	0.463017i
$779$	3.28991	+	4.12542i	0.117873	+	0.147808i
$780$	3.35202			0.120022
$781$	−20.7961			−0.744142
$782$	−5.08232	−	6.37302i	−0.181743	−	0.227899i
$783$	2.15834	+	1.03940i	0.0771328	+	0.0371452i
$784$	−0.384979	+	0.482749i	−0.0137493	+	0.0172410i
$785$	9.63777	+	4.64130i	0.343987	+	0.165655i
$786$	−9.92875	−	43.5007i	−0.354147	−	1.55162i
$787$	17.2200	+	21.5933i	0.613828	+	0.769717i	0.987461	−	0.157860i	$-0.0504595\pi$
$787$	17.2200	+	21.5933i	0.613828	+	0.769717i	−0.373633	+	0.927577i	$0.621888\pi$
$788$	3.61807	+	15.8518i	0.128888	+	0.564697i
$789$	−61.0798	+	29.4145i	−2.17450	+	1.04718i
$790$	3.19273	−	4.00356i	0.113592	−	0.142440i
$791$	−19.2798	+	24.1761i	−0.685510	+	0.859602i
$792$	−2.11111	+	9.24940i	−0.0750152	+	0.328663i
$793$	16.1878	−	7.79566i	0.574847	−	0.276832i
$794$	17.1433	+	8.25579i	0.608394	+	0.292987i
$795$	0.396586	−	1.73755i	0.0140654	−	0.0616247i
$796$	−5.65347	+	24.7695i	−0.200382	+	0.877931i
$797$	−17.2998	−	8.33112i	−0.612789	−	0.295103i	0.101630	−	0.994822i	$-0.467594\pi$
$797$	−17.2998	−	8.33112i	−0.612789	−	0.295103i	−0.714418	+	0.699719i	$0.753309\pi$
$798$	−15.1852	+	7.31279i	−0.537549	+	0.258870i
$799$	−12.2674	+	53.7472i	−0.433991	+	1.90144i
$800$	−0.623490	+	0.781831i	−0.0220437	+	0.0276419i
$801$	−5.06071	+	6.34593i	−0.178811	+	0.224222i
$802$	−0.853271	+	0.410913i	−0.0301300	+	0.0145099i
$803$	4.12306	+	18.0643i	0.145500	+	0.637475i
$804$	−20.1292	−	25.2412i	−0.709903	−	0.890190i
$805$	−0.899122	−	3.93931i	−0.0316899	−	0.138843i
$806$	1.19552	+	0.575731i	0.0421103	+	0.0202793i
$807$	16.5574	−	20.7623i	0.582849	−	0.730869i
$808$	−2.99011	−	1.43996i	−0.105192	−	0.0506576i
$809$	−17.5131	−	21.9607i	−0.615726	−	0.772096i	0.372010	−	0.928229i	$-0.378669\pi$
$809$	−17.5131	−	21.9607i	−0.615726	−	0.772096i	−0.987736	+	0.156133i	$0.950097\pi$
$810$	7.38980			0.259651
$811$	5.95916			0.209254			0.104627	−	0.994512i	$-0.466635\pi$
$811$	5.95916			0.209254			0.104627	+	0.994512i	$0.466635\pi$
$812$	3.19339	+	4.00438i	0.112066	+	0.140526i
$813$	21.3612	−	10.2870i	0.749170	−	0.360781i
$814$	−2.68606	+	11.7684i	−0.0941465	+	0.412483i
$815$	−2.81268	−	12.3231i	−0.0985238	−	0.431661i
$816$	−12.9586			−0.453640
$817$	−17.0981	+	1.92117i	−0.598186	+	0.0672132i
$818$	−26.6983			−0.933483
$819$	2.56785	+	11.2505i	0.0897279	+	0.393124i
$820$	−0.447495	+	1.96060i	−0.0156272	+	0.0684673i
$821$	−36.0301	+	17.3512i	−1.25746	+	0.605560i	−0.939501	−	0.342545i	$-0.888711\pi$
$821$	−36.0301	+	17.3512i	−1.25746	+	0.605560i	−0.317957	+	0.948105i	$0.602997\pi$
$822$	−1.26985	−	1.59234i	−0.0442912	−	0.0555394i
$823$	−11.5557			−0.402806			−0.201403	−	0.979508i	$-0.564550\pi$
$823$	−11.5557			−0.402806			−0.201403	+	0.979508i	$0.564550\pi$
$824$	6.81231			0.237318
$825$	4.34086	+	5.44326i	0.151129	+	0.189510i
$826$	−4.63006	−	2.22972i	−0.161101	−	0.0775819i
$827$	13.4458	−	16.8605i	0.467557	−	0.586298i	−0.491014	−	0.871152i	$-0.663374\pi$
$827$	13.4458	−	16.8605i	0.467557	−	0.586298i	0.958571	+	0.284854i	$0.0919451\pi$
$828$	−4.99265	−	2.40433i	−0.173507	−	0.0835564i
$829$	−7.33317	−	32.1287i	−0.254692	−	1.11588i	−0.926839	−	0.375459i	$-0.877485\pi$
$829$	−7.33317	−	32.1287i	−0.254692	−	1.11588i	0.672147	−	0.740417i	$-0.265372\pi$
$830$	−4.69679	−	5.88959i	−0.163028	−	0.204431i
$831$	−13.6467	−	59.7900i	−0.473398	−	2.07409i
$832$	1.18779	−	0.572011i	0.0411793	−	0.0198309i
$833$	−1.96209	+	2.46038i	−0.0679823	+	0.0852471i
$834$	29.4449	−	36.9227i	1.01959	−	1.27853i
$835$	−0.864081	+	3.78579i	−0.0299028	+	0.131013i
$836$	6.47318	−	3.11732i	0.223879	−	0.107815i
$837$	−1.07154	−	0.516028i	−0.0370379	−	0.0178365i
$838$	0.503218	−	2.20474i	0.0173834	−	0.0761615i
$839$	−9.75476	+	42.7384i	−0.336772	+	1.47549i	0.468964	+	0.883217i	$0.344628\pi$
$839$	−9.75476	+	42.7384i	−0.336772	+	1.47549i	−0.805735	+	0.592276i	$0.798230\pi$
$840$	−5.78738	−	2.78706i	−0.199684	−	0.0961626i
$841$	22.4250	−	10.7993i	0.773277	−	0.372391i
$842$	0.0617494	−	0.270542i	0.00212802	−	0.00932349i
$843$	−2.12306	+	2.66223i	−0.0731219	+	0.0916920i
$844$	−2.33763	+	2.93130i	−0.0804647	+	0.100900i
$845$	10.1467	−	4.88638i	0.349056	−	0.168096i
$846$	8.33956	+	36.5380i	0.286720	+	1.25620i
$847$	−5.51635	−	6.91729i	−0.189544	−	0.237681i
$848$	−0.155977	−	0.683381i	−0.00535628	−	0.0234674i
$849$	−35.5163	−	17.1038i	−1.21892	−	0.586999i
$850$	−3.17768	+	3.98469i	−0.108994	+	0.136674i
$851$	−6.35237	−	3.05914i	−0.217756	−	0.104866i
$852$	−12.0397	−	15.0973i	−0.412473	−	0.517225i
$853$	−27.6175			−0.945606			−0.472803	−	0.881168i	$-0.656758\pi$
$853$	−27.6175			−0.945606			−0.472803	+	0.881168i	$0.656758\pi$
$854$	−34.4306			−1.17819
$855$	5.66809	+	7.10757i	0.193845	+	0.243074i
$856$	−12.6107	+	6.07301i	−0.431026	+	0.207571i
$857$	−7.97595	+	34.9449i	−0.272453	+	1.19370i	0.634654	+	0.772796i	$0.281143\pi$
$857$	−7.97595	+	34.9449i	−0.272453	+	1.19370i	−0.907107	+	0.420900i	$0.861714\pi$
$858$	−2.04243	−	8.94849i	−0.0697276	−	0.305496i
$859$	16.4927			0.562725			0.281362	−	0.959602i	$-0.409214\pi$
$859$	16.4927			0.562725			0.281362	+	0.959602i	$0.409214\pi$
$860$	−4.63538	−	4.63823i	−0.158065	−	0.158162i
$861$	−12.9178			−0.440239
$862$	2.43147	+	10.6529i	0.0828161	+	0.362841i
$863$	10.8074	−	47.3503i	0.367888	−	1.61182i	−0.364682	−	0.931132i	$-0.618822\pi$
$863$	10.8074	−	47.3503i	0.367888	−	1.61182i	0.732570	−	0.680691i	$-0.238320\pi$
$864$	−1.06462	+	0.512694i	−0.0362191	+	0.0174422i
$865$	8.73611	+	10.9547i	0.297037	+	0.372472i
$866$	29.5066			1.00267
$867$	−22.8208			−0.775034
$868$	−1.58541	−	1.98804i	−0.0538123	−	0.0674785i
$869$	−12.6332	−	6.08383i	−0.428552	−	0.206380i
$870$	3.21389	−	4.03009i	0.108961	−	0.136633i
$871$	15.0822	+	7.26318i	0.511039	+	0.246104i
$872$	1.52406	+	6.67733i	0.0516110	+	0.226123i
$873$	−27.7356	−	34.7794i	−0.938709	−	1.17710i
$874$	0.933811	+	4.09129i	0.0315866	+	0.138390i
$875$	−2.27618	+	1.09615i	−0.0769489	+	0.0370567i
$876$	−10.7271	+	13.4514i	−0.362436	+	0.454480i
$877$	−11.0251	+	13.8250i	−0.372290	+	0.466837i	−0.932319	−	0.361636i	$-0.882218\pi$
$877$	−11.0251	+	13.8250i	−0.372290	+	0.466837i	0.560029	+	0.828473i	$0.310790\pi$
$878$	−4.22315	+	18.5028i	−0.142524	+	0.624440i
$879$	2.49350	−	1.20081i	0.0841038	−	0.0405022i
$880$	2.46706	+	1.18807i	0.0831647	+	0.0400500i
$881$	3.75842	−	16.4667i	0.126625	−	0.554778i	−0.871321	−	0.490713i	$-0.836736\pi$
$881$	3.75842	−	16.4667i	0.126625	−	0.554778i	0.997946	−	0.0640652i	$-0.0204066\pi$
$882$	−0.476046	+	2.08570i	−0.0160293	+	0.0702290i
$883$	−33.1986	−	15.9876i	−1.11722	−	0.538026i	−0.218190	−	0.975906i	$-0.570015\pi$
$883$	−33.1986	−	15.9876i	−1.11722	−	0.538026i	−0.899033	+	0.437880i	$0.855729\pi$
$884$	6.05372	−	2.91532i	0.203609	−	0.0980528i
$885$	−1.15087	+	5.04230i	−0.0386861	+	0.169495i
$886$	−6.52314	+	8.17975i	−0.219149	+	0.274804i
$887$	12.0714	−	15.1371i	0.405319	−	0.508254i	−0.536719	−	0.843761i	$-0.680336\pi$
$887$	12.0714	−	15.1371i	0.405319	−	0.508254i	0.942038	+	0.335507i	$0.108908\pi$
$888$	−10.0986	+	4.86322i	−0.338886	+	0.163199i
$889$	11.7282	+	51.3848i	0.393352	+	1.72339i
$890$	1.46063	+	1.83158i	0.0489605	+	0.0613946i
$891$	−4.50271	−	19.7277i	−0.150846	−	0.660902i
$892$	−20.6479	−	9.94350i	−0.691342	−	0.332933i
$893$	17.6957	−	22.1897i	0.592165	−	0.742551i
$894$	−52.2439	−	25.1593i	−1.74730	−	0.841454i
$895$	5.62734	+	7.05646i	0.188101	+	0.235872i
$896$	−2.52637			−0.0844001
$897$	5.36115			0.179004
$898$	20.4433	+	25.6351i	0.682202	+	0.855454i
$899$	1.83844	−	0.885348i	0.0613156	−	0.0295280i
$900$	−0.770977	+	3.37787i	−0.0256992	+	0.112596i
$901$	−0.794955	−	3.48293i	−0.0264838	−	0.116033i
$902$	5.50665			0.183352
$903$	22.4211	−	35.6586i	0.746127	−	1.18664i
$904$	12.2398			0.407091
$905$	3.65441	+	16.0110i	0.121477	+	0.532224i
$906$	−10.4022	+	45.5751i	−0.345591	+	1.51413i
$907$	40.4202	−	19.4653i	1.34213	−	0.646335i	0.381552	−	0.924348i	$-0.375390\pi$
$907$	40.4202	−	19.4653i	1.34213	−	0.646335i	0.960578	+	0.278012i	$0.0896756\pi$
$908$	−3.94416	−	4.94583i	−0.130892	−	0.164133i
$909$	−11.4987			−0.381387
$910$	3.33064			0.110410
$911$	−31.4030	−	39.3781i	−1.04043	−	1.30466i	−0.951177	−	0.308646i	$-0.900124\pi$
$911$	−31.4030	−	39.3781i	−1.04043	−	1.30466i	−0.0892508	−	0.996009i	$-0.528447\pi$
$912$	6.01066	+	2.89458i	0.199033	+	0.0958492i
$913$	−12.8609	+	16.1271i	−0.425634	+	0.533728i
$914$	−11.3338	−	5.45805i	−0.374888	−	0.180536i
$915$	7.71071	+	33.7828i	0.254908	+	1.11683i
$916$	−4.62147	−	5.79514i	−0.152698	−	0.191477i
$917$	−9.86543	−	43.2233i	−0.325785	−	1.42736i
$918$	−5.42595	+	2.61300i	−0.179083	+	0.0862419i
$919$	−26.5361	+	33.2752i	−0.875345	+	1.09765i	0.119151	+	0.992876i	$0.461983\pi$
$919$	−26.5361	+	33.2752i	−0.875345	+	1.09765i	−0.994496	+	0.104772i	$0.966589\pi$
$920$	−0.997196	+	1.25044i	−0.0328766	+	0.0412259i
$921$	−16.8616	+	73.8754i	−0.555608	+	2.43428i
$922$	0.953990	−	0.459417i	0.0314180	−	0.0151301i
$923$	9.02094	+	4.34426i	0.296928	+	0.142993i
$924$	−3.91394	+	17.1481i	−0.128759	+	0.564130i
$925$	−0.980948	+	4.29781i	−0.0322534	+	0.141311i
$926$	2.13107	+	1.02627i	0.0700314	+	0.0337253i
$927$	21.2654	−	10.2409i	0.698449	−	0.336355i
$928$	0.451125	−	1.97651i	0.0148089	−	0.0648820i
$929$	5.30941	−	6.65779i	0.174196	−	0.218435i	−0.687067	−	0.726594i	$-0.741102\pi$
$929$	5.30941	−	6.65779i	0.174196	−	0.218435i	0.861263	+	0.508159i	$0.169674\pi$
$930$	−1.59559	+	2.00080i	−0.0523213	+	0.0656088i
$931$	1.45967	−	0.702940i	0.0478388	−	0.0230379i
$932$	0.0927117	+	0.406196i	0.00303687	+	0.0133054i
$933$	7.01382	+	8.79505i	0.229622	+	0.287937i
$934$	0.284902	+	1.24824i	0.00932227	+	0.0408435i
$935$	12.5737	+	6.05515i	0.411202	+	0.198025i
$936$	2.84794	−	3.57121i	0.0930879	−	0.116729i
$937$	−29.9829	−	14.4390i	−0.979498	−	0.471701i	−0.125566	−	0.992085i	$-0.540075\pi$
$937$	−29.9829	−	14.4390i	−0.979498	−	0.471701i	−0.853932	+	0.520384i	$0.825789\pi$
$938$	−20.0008	−	25.0803i	−0.653051	−	0.818900i
$939$	−71.9325			−2.34743
$940$	10.8169			0.352807
$941$	27.5606	+	34.5599i	0.898450	+	1.12662i	0.991389	+	0.130949i	$0.0418023\pi$
$941$	27.5606	+	34.5599i	0.898450	+	1.12662i	−0.0929393	+	0.995672i	$0.529626\pi$
$942$	24.5048	−	11.8009i	0.798411	−	0.384495i
$943$	−0.715714	+	3.13575i	−0.0233068	+	0.102114i
$944$	0.452638	+	1.98314i	0.0147321	+	0.0645456i
$945$	−2.98526			−0.0971104
$946$	−9.55773	+	15.2007i	−0.310749	+	0.494216i
$947$	18.1849			0.590931			0.295465	−	0.955353i	$-0.404525\pi$
$947$	18.1849			0.590931			0.295465	+	0.955353i	$0.404525\pi$
$948$	−2.89721	−	12.6935i	−0.0940969	−	0.412265i
$949$	1.98509	−	8.69725i	0.0644388	−	0.282325i
$950$	2.36400	−	1.13844i	0.0766982	−	0.0369359i
$951$	−41.9872	−	52.6502i	−1.36153	−	1.70730i
$952$	−12.8759			−0.417311
$953$	49.5960			1.60657			0.803285	−	0.595594i	$-0.203083\pi$
$953$	49.5960			1.60657			0.803285	+	0.595594i	$0.203083\pi$
$954$	−1.51423	−	1.89878i	−0.0490248	−	0.0614752i
$955$	−16.9791	−	8.17672i	−0.549432	−	0.264592i
$956$	14.0354	−	17.5998i	0.453936	−	0.569218i
$957$	−12.7169	−	6.12414i	−0.411079	−	0.197965i
$958$	−2.33781	−	10.2426i	−0.0755312	−	0.330924i
$959$	−1.26175	−	1.58219i	−0.0407441	−	0.0510915i
$960$	0.565778	+	2.47884i	0.0182604	+	0.0800041i
$961$	27.0173	−	13.0109i	0.871526	−	0.419705i
$962$	3.62356	−	4.54380i	0.116828	−	0.146498i
$963$	−30.2364	+	37.9153i	−0.974355	+	1.22180i
$964$	4.49721	−	19.7036i	0.144845	−	0.634609i
$965$	−0.0264012	+	0.0127142i	−0.000849885	+	0.000409283i
$966$	−9.25621	−	4.45756i	−0.297814	−	0.143419i
$967$	4.46991	−	19.5840i	0.143743	−	0.629778i	−0.850804	−	0.525484i	$-0.823884\pi$
$967$	4.46991	−	19.5840i	0.143743	−	0.629778i	0.994546	−	0.104294i	$-0.0332584\pi$
$968$	−0.779286	+	3.41427i	−0.0250472	+	0.109739i
$969$	30.6340	+	14.7526i	0.984106	+	0.473920i
$970$	−11.5677	+	5.57073i	−0.371417	+	0.178865i
$971$	−4.77770	+	20.9325i	−0.153324	+	0.671756i	0.838581	+	0.544776i	$0.183385\pi$
$971$	−4.77770	+	20.9325i	−0.153324	+	0.671756i	−0.991905	+	0.126979i	$0.959472\pi$
$972$	13.9251	−	17.4615i	0.446648	−	0.560078i
$973$	29.2571	−	36.6872i	0.937938	−	1.17614i
$974$	−17.6004	+	8.47589i	−0.563952	+	0.271585i
$975$	−0.745895	−	3.26798i	−0.0238878	−	0.104659i
$976$	8.49723	+	10.6552i	0.271990	+	0.341064i
$977$	9.57207	+	41.9380i	0.306238	+	1.34172i	0.860533	+	0.509395i	$0.170131\pi$
$977$	9.57207	+	41.9380i	0.306238	+	1.34172i	−0.554295	+	0.832320i	$0.687012\pi$
$978$	−28.9557	−	13.9443i	−0.925902	−	0.445891i
$979$	3.99955	−	5.01528i	0.127826	−	0.160289i
$980$	0.556311	+	0.267905i	0.0177707	+	0.00855792i
$981$	14.7955	+	18.5530i	0.472384	+	0.592351i
$982$	23.4504			0.748331
$983$	0.277731			0.00885824			0.00442912	−	0.999990i	$-0.498590\pi$
$983$	0.277731			0.00885824			0.00442912	+	0.999990i	$0.498590\pi$
$984$	3.18803	+	3.99766i	0.101631	+	0.127441i
$985$	14.6493	−	7.05471i	0.466764	−	0.224782i
$986$	2.29921	−	10.0735i	0.0732216	−	0.320805i
$987$	15.4613	+	67.7402i	0.492137	+	2.15619i
$988$	−3.45914			−0.110050
$989$	−7.41373	−	7.41829i	−0.235743	−	0.235888i
$990$	9.48726			0.301525
$991$	6.48060	+	28.3934i	0.205863	+	0.901946i	0.967286	+	0.253690i	$0.0816442\pi$
$991$	6.48060	+	28.3934i	0.205863	+	0.901946i	−0.761423	+	0.648256i	$0.775499\pi$
$992$	−0.223968	+	0.981268i	−0.00711099	+	0.0311553i
$993$	−27.3515	+	13.1718i	−0.867972	+	0.417993i
$994$	−11.9629	−	15.0010i	−0.379440	−	0.475803i
$995$	25.4065			0.805439
$996$	−19.1535			−0.606900
$997$	−17.2165	−	21.5888i	−0.545253	−	0.683726i	0.430502	−	0.902589i	$-0.358336\pi$
$997$	−17.2165	−	21.5888i	−0.545253	−	0.683726i	−0.975755	+	0.218864i	$0.929765\pi$
$998$	−8.29609	−	3.99518i	−0.262608	−	0.126465i
$999$	−3.24780	+	4.07261i	−0.102756	+	0.128852i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	430.2.k.c.231.3	yes	18
43.35	even	7	inner	430.2.k.c.121.3	✓	18

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
430.2.k.c.121.3	✓	18	43.35	even	7	inner
430.2.k.c.231.3	yes	18	1.1	even	1	trivial

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)

\(f(q)\)	\(=\)	\(q+(0.222521 + 0.974928i) q^{2} +(0.565778 - 2.47884i) q^{3} +(-0.900969 + 0.433884i) q^{4} +(0.623490 + 0.781831i) q^{5} +2.54259 q^{6} +2.52637 q^{7} +(-0.623490 - 0.781831i) q^{8} +(-3.12162 - 1.50329i) q^{9} +O(q^{10})\)	\(q+(0.222521 + 0.974928i) q^{2} +(0.565778 - 2.47884i) q^{3} +(-0.900969 + 0.433884i) q^{4} +(0.623490 + 0.781831i) q^{5} +2.54259 q^{6} +2.52637 q^{7} +(-0.623490 - 0.781831i) q^{8} +(-3.12162 - 1.50329i) q^{9} +(-0.623490 + 0.781831i) q^{10} +(2.46706 + 1.18807i) q^{11} +(0.565778 + 2.47884i) q^{12} +(-0.821979 - 1.03073i) q^{13} +(0.562170 + 2.46303i) q^{14} +(2.29079 - 1.10319i) q^{15} +(0.623490 - 0.781831i) q^{16} +(3.17768 - 3.98469i) q^{17} +(0.770977 - 3.37787i) q^{18} +(-2.36400 + 1.13844i) q^{19} +(-0.900969 - 0.433884i) q^{20} +(1.42937 - 6.26246i) q^{21} +(-0.609314 + 2.66958i) q^{22} +(-1.44099 - 0.693944i) q^{23} +(-2.29079 + 1.10319i) q^{24} +(-0.222521 + 0.974928i) q^{25} +(0.821979 - 1.03073i) q^{26} +(-0.736740 + 0.923842i) q^{27} +(-2.27618 + 1.09615i) q^{28} +(-0.451125 - 1.97651i) q^{29} +(1.58528 + 1.98787i) q^{30} +(0.223968 + 0.981268i) q^{31} +(0.900969 + 0.433884i) q^{32} +(4.34086 - 5.44326i) q^{33} +(4.59189 + 2.21134i) q^{34} +(1.57517 + 1.97519i) q^{35} +3.46474 q^{36} +4.40834 q^{37} +(-1.63594 - 2.05140i) q^{38} +(-3.02007 + 1.45439i) q^{39} +(0.222521 - 0.974928i) q^{40} +(-0.447495 - 1.96060i) q^{41} +6.42351 q^{42} +(6.18879 + 2.16769i) q^{43} -2.73823 q^{44} +(-0.770977 - 3.37787i) q^{45} +(0.355895 - 1.55928i) q^{46} +(-9.74566 + 4.69326i) q^{47} +(-1.58528 - 1.98787i) q^{48} -0.617459 q^{49} -1.00000 q^{50} +(-8.07953 - 10.1314i) q^{51} +(1.18779 + 0.572011i) q^{52} +(0.437039 - 0.548029i) q^{53} +(-1.06462 - 0.512694i) q^{54} +(0.609314 + 2.66958i) q^{55} +(-1.57517 - 1.97519i) q^{56} +(1.48451 + 6.50407i) q^{57} +(1.82657 - 0.879628i) q^{58} +(-1.26826 + 1.59035i) q^{59} +(-1.58528 + 1.98787i) q^{60} +(-3.03263 + 13.2868i) q^{61} +(-0.906828 + 0.436705i) q^{62} +(-7.88637 - 3.79788i) q^{63} +(-0.222521 + 0.974928i) q^{64} +(0.293361 - 1.28530i) q^{65} +(6.27272 + 3.02078i) q^{66} +(-11.4402 + 5.50929i) q^{67} +(-1.13410 + 4.96883i) q^{68} +(-2.53546 + 3.17936i) q^{69} +(-1.57517 + 1.97519i) q^{70} +(-6.84259 + 3.29522i) q^{71} +(0.770977 + 3.37787i) q^{72} +(4.21898 + 5.29043i) q^{73} +(0.980948 + 4.29781i) q^{74} +(2.29079 + 1.10319i) q^{75} +(1.63594 - 2.05140i) q^{76} +(6.23271 + 3.00152i) q^{77} +(-2.08995 - 2.62072i) q^{78} -5.12074 q^{79} +1.00000 q^{80} +(-4.60746 - 5.77758i) q^{81} +(1.81187 - 0.872551i) q^{82} +(-1.67626 + 7.34419i) q^{83} +(1.42937 + 6.26246i) q^{84} +5.09661 q^{85} +(-0.736202 + 6.51598i) q^{86} -5.15467 q^{87} +(-0.609314 - 2.66958i) q^{88} +(0.521294 - 2.28394i) q^{89} +(3.12162 - 1.50329i) q^{90} +(-2.07662 - 2.60400i) q^{91} +1.59938 q^{92} +2.55912 q^{93} +(-6.74421 - 8.45697i) q^{94} +(-2.36400 - 1.13844i) q^{95} +(1.58528 - 1.98787i) q^{96} +(11.5677 + 5.57073i) q^{97} +(-0.137397 - 0.601978i) q^{98} +(-5.91521 - 7.41744i) 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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