LMFDB - Embedded newform 546.2.bu.a.323.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [546,2,Mod(71,546)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(546, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 0, 5]))

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

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

chi := DirichletCharacter("546.71");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 546 = 2 \cdot 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	546.bu (of order $12$, degree $4$, 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:	$4.35983195036$
Analytic rank:	$0$
Dimension:	$56$
Relative dimension:	$14$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			323.4
Character	$\chi$	$=$	546.323
Dual form			546.2.bu.a.71.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.965926 - 0.258819i) q^{2} +(0.504239 + 1.65703i) q^{3} +(0.866025 + 0.500000i) q^{4} +(-2.02216 + 2.02216i) q^{5} +(-0.0581866 - 1.73107i) q^{6} +(0.258819 + 0.965926i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(-2.49149 + 1.67108i) q^{9} +O(q^{10})$	\(q+(-0.965926 - 0.258819i) q^{2} +(0.504239 + 1.65703i) q^{3} +(0.866025 + 0.500000i) q^{4} +(-2.02216 + 2.02216i) q^{5} +(-0.0581866 - 1.73107i) q^{6} +(0.258819 + 0.965926i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(-2.49149 + 1.67108i) q^{9} +(2.47663 - 1.42988i) q^{10} +(-0.522859 + 1.95134i) q^{11} +(-0.391831 + 1.68715i) q^{12} +(-2.79511 - 2.27758i) q^{13} -1.00000i q^{14} +(-4.37042 - 2.33112i) q^{15} +(0.500000 + 0.866025i) q^{16} +(0.857349 - 1.48497i) q^{17} +(2.83910 - 0.969291i) q^{18} +(0.291822 - 0.0781935i) q^{19} +(-2.76232 + 0.740161i) q^{20} +(-1.47006 + 0.915928i) q^{21} +(1.01009 - 1.74952i) q^{22} +(0.189549 + 0.328309i) q^{23} +(0.815146 - 1.52825i) q^{24} -3.17825i q^{25} +(2.11039 + 2.92340i) q^{26} +(-4.02532 - 3.28584i) q^{27} +(-0.258819 + 0.965926i) q^{28} +(1.49380 - 0.862444i) q^{29} +(3.61817 + 3.38284i) q^{30} +(-2.01519 - 2.01519i) q^{31} +(-0.258819 - 0.965926i) q^{32} +(-3.49706 + 0.117547i) q^{33} +(-1.21247 + 1.21247i) q^{34} +(-2.47663 - 1.42988i) q^{35} +(-2.99323 + 0.201451i) q^{36} +(-8.36414 - 2.24116i) q^{37} -0.302116 q^{38} +(2.36461 - 5.78002i) q^{39} +2.85976 q^{40} +(-1.95720 - 0.524430i) q^{41} +(1.65703 - 0.504239i) q^{42} +(5.58811 + 3.22629i) q^{43} +(-1.42848 + 1.42848i) q^{44} +(1.65900 - 8.41736i) q^{45} +(-0.0981179 - 0.366181i) q^{46} +(5.62258 + 5.62258i) q^{47} +(-1.18291 + 1.26520i) q^{48} +(-0.866025 + 0.500000i) q^{49} +(-0.822591 + 3.06995i) q^{50} +(2.89295 + 0.671871i) q^{51} +(-1.28184 - 3.37000i) q^{52} -5.57228i q^{53} +(3.03773 + 4.21571i) q^{54} +(-2.88861 - 5.00321i) q^{55} +(0.500000 - 0.866025i) q^{56} +(0.276717 + 0.444129i) q^{57} +(-1.66611 + 0.446434i) q^{58} +(-10.1830 + 2.72854i) q^{59} +(-2.61934 - 4.20402i) q^{60} +(-5.94332 + 10.2941i) q^{61} +(1.42496 + 2.46810i) q^{62} +(-2.25898 - 1.97409i) q^{63} +1.00000i q^{64} +(10.2578 - 1.04652i) q^{65} +(3.40833 + 0.791565i) q^{66} +(0.287524 - 1.07305i) q^{67} +(1.48497 - 0.857349i) q^{68} +(-0.448439 + 0.479634i) q^{69} +(2.02216 + 2.02216i) q^{70} +(-0.436438 - 1.62881i) q^{71} +(2.94338 + 0.580118i) q^{72} +(-8.83094 + 8.83094i) q^{73} +(7.49908 + 4.32960i) q^{74} +(5.26645 - 1.60260i) q^{75} +(0.291822 + 0.0781935i) q^{76} -2.02017 q^{77} +(-3.78002 + 4.97106i) q^{78} -3.44182 q^{79} +(-2.76232 - 0.740161i) q^{80} +(3.41501 - 8.32693i) q^{81} +(1.75478 + 1.01312i) q^{82} +(-11.1986 + 11.1986i) q^{83} +(-1.73107 + 0.0581866i) q^{84} +(1.26915 + 4.73654i) q^{85} +(-4.56267 - 4.56267i) q^{86} +(2.18232 + 2.04039i) q^{87} +(1.74952 - 1.01009i) q^{88} +(-4.32027 + 16.1235i) q^{89} +(-3.78105 + 7.70116i) q^{90} +(1.47655 - 3.28935i) q^{91} +0.379098i q^{92} +(2.32310 - 4.35537i) q^{93} +(-3.97576 - 6.88622i) q^{94} +(-0.431991 + 0.748230i) q^{95} +(1.47006 - 0.915928i) q^{96} +(11.6792 - 3.12942i) q^{97} +(0.965926 - 0.258819i) q^{98} +(-1.95813 - 5.73546i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 56 q - 8 q^{6} + 24 q^{9}+O(q^{10}) $ 56 * q - 8 * q^6 + 24 * q^9	$ 56 q - 8 q^{6} + 24 q^{9} + 24 q^{10} - 8 q^{11} + 24 q^{13} - 4 q^{15} + 28 q^{16} + 4 q^{17} + 8 q^{19} + 4 q^{21} + 8 q^{23} + 8 q^{24} + 4 q^{26} - 24 q^{27} - 16 q^{30} - 8 q^{31} - 32 q^{33} - 24 q^{34} - 24 q^{35} - 12 q^{36} - 8 q^{37} - 60 q^{39} + 28 q^{41} - 8 q^{44} - 40 q^{45} - 20 q^{46} - 64 q^{50} + 8 q^{54} + 8 q^{55} + 28 q^{56} + 40 q^{57} + 4 q^{58} + 8 q^{59} + 4 q^{60} + 8 q^{61} + 32 q^{62} + 24 q^{65} + 32 q^{66} - 56 q^{69} + 112 q^{71} + 16 q^{72} + 8 q^{73} - 48 q^{74} - 40 q^{75} + 8 q^{76} - 8 q^{78} + 16 q^{79} + 12 q^{81} + 4 q^{83} - 4 q^{84} + 32 q^{85} + 16 q^{86} + 144 q^{87} - 88 q^{89} + 8 q^{90} - 8 q^{91} - 76 q^{93} - 8 q^{94} + 48 q^{95} - 4 q^{96} - 64 q^{97} - 40 q^{99}+O(q^{100}) $ 56 * q - 8 * q^6 + 24 * q^9 + 24 * q^10 - 8 * q^11 + 24 * q^13 - 4 * q^15 + 28 * q^16 + 4 * q^17 + 8 * q^19 + 4 * q^21 + 8 * q^23 + 8 * q^24 + 4 * q^26 - 24 * q^27 - 16 * q^30 - 8 * q^31 - 32 * q^33 - 24 * q^34 - 24 * q^35 - 12 * q^36 - 8 * q^37 - 60 * q^39 + 28 * q^41 - 8 * q^44 - 40 * q^45 - 20 * q^46 - 64 * q^50 + 8 * q^54 + 8 * q^55 + 28 * q^56 + 40 * q^57 + 4 * q^58 + 8 * q^59 + 4 * q^60 + 8 * q^61 + 32 * q^62 + 24 * q^65 + 32 * q^66 - 56 * q^69 + 112 * q^71 + 16 * q^72 + 8 * q^73 - 48 * q^74 - 40 * q^75 + 8 * q^76 - 8 * q^78 + 16 * q^79 + 12 * q^81 + 4 * q^83 - 4 * q^84 + 32 * q^85 + 16 * q^86 + 144 * q^87 - 88 * q^89 + 8 * q^90 - 8 * q^91 - 76 * q^93 - 8 * q^94 + 48 * q^95 - 4 * q^96 - 64 * q^97 - 40 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/546\mathbb{Z}\right)^\times$.

$n$	$157$	$365$	$379$
$\chi(n)$	$1$	$-1$	$e\left(\frac{7}{12}\right)$

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 $

$2$	−0.965926	−	0.258819i	−0.683013	−	0.183013i
$2$	−0.965926	−	0.258819i	−0.683013	−	0.183013i
$3$	0.504239	+	1.65703i	0.291122	+	0.956686i
$3$	0.504239	+	1.65703i	0.291122	+	0.956686i
$4$	0.866025	+	0.500000i	0.433013	+	0.250000i
$5$	−2.02216	+	2.02216i	−0.904337	+	0.904337i	−0.995808	−	0.0914711i	$-0.970843\pi$
$5$	−2.02216	+	2.02216i	−0.904337	+	0.904337i	0.0914711	+	0.995808i	$0.470843\pi$
$6$	−0.0581866	−	1.73107i	−0.0237546	−	0.706708i
$7$	0.258819	+	0.965926i	0.0978244	+	0.365086i
$7$	0.258819	+	0.965926i	0.0978244	+	0.365086i
$8$	−0.707107	−	0.707107i	−0.250000	−	0.250000i
$9$	−2.49149	+	1.67108i	−0.830496	+	0.557025i
$10$	2.47663	−	1.42988i	0.783179	−	0.452168i
$11$	−0.522859	+	1.95134i	−0.157648	+	0.588350i	0.841216	+	0.540699i	$0.181840\pi$
$11$	−0.522859	+	1.95134i	−0.157648	+	0.588350i	−0.998864	+	0.0476510i	$0.984826\pi$
$12$	−0.391831	+	1.68715i	−0.113112	+	0.487038i
$13$	−2.79511	−	2.27758i	−0.775224	−	0.631687i
$13$	−2.79511	−	2.27758i	−0.775224	−	0.631687i
$14$		−	1.00000i		−	0.267261i
$15$	−4.37042	−	2.33112i	−1.12844	−	0.601894i
$16$	0.500000	+	0.866025i	0.125000	+	0.216506i
$17$	0.857349	−	1.48497i	0.207938	−	0.360159i	−0.743127	−	0.669150i	$-0.766658\pi$
$17$	0.857349	−	1.48497i	0.207938	−	0.360159i	0.951065	+	0.308992i	$0.0999916\pi$
$18$	2.83910	−	0.969291i	0.669182	−	0.228464i
$19$	0.291822	−	0.0781935i	0.0669486	−	0.0179388i	−0.225189	−	0.974315i	$-0.572300\pi$
$19$	0.291822	−	0.0781935i	0.0669486	−	0.0179388i	0.292138	+	0.956376i	$0.405633\pi$
$20$	−2.76232	+	0.740161i	−0.617673	+	0.165505i
$21$	−1.47006	+	0.915928i	−0.320793	+	0.199872i
$22$	1.01009	−	1.74952i	0.215351	−	0.372999i
$23$	0.189549	+	0.328309i	0.0395237	+	0.0684571i	0.885111	−	0.465381i	$-0.154083\pi$
$23$	0.189549	+	0.328309i	0.0395237	+	0.0684571i	−0.845587	+	0.533838i	$0.820749\pi$
$24$	0.815146	−	1.52825i	0.166391	−	0.311952i
$25$		−	3.17825i		−	0.635650i
$26$	2.11039	+	2.92340i	0.413881	+	0.573326i
$27$	−4.02532	−	3.28584i	−0.774674	−	0.632361i
$28$	−0.258819	+	0.965926i	−0.0489122	+	0.182543i
$29$	1.49380	−	0.862444i	0.277391	−	0.160152i	−0.354851	−	0.934923i	$-0.615468\pi$
$29$	1.49380	−	0.862444i	0.277391	−	0.160152i	0.632242	+	0.774771i	$0.282135\pi$
$30$	3.61817	+	3.38284i	0.660584	+	0.617620i
$31$	−2.01519	−	2.01519i	−0.361940	−	0.361940i	0.502587	−	0.864527i	$-0.332382\pi$
$31$	−2.01519	−	2.01519i	−0.361940	−	0.361940i	−0.864527	+	0.502587i	$0.832382\pi$
$32$	−0.258819	−	0.965926i	−0.0457532	−	0.170753i
$33$	−3.49706	+	0.117547i	−0.608761	+	0.0204623i
$34$	−1.21247	+	1.21247i	−0.207938	+	0.207938i
$35$	−2.47663	−	1.42988i	−0.418627	−	0.241694i
$36$	−2.99323	+	0.201451i	−0.498871	+	0.0335751i
$37$	−8.36414	−	2.24116i	−1.37506	−	0.368445i	−0.505733	−	0.862690i	$-0.668778\pi$
$37$	−8.36414	−	2.24116i	−1.37506	−	0.368445i	−0.869323	+	0.494245i	$0.835445\pi$
$38$	−0.302116			−0.0490098
$39$	2.36461	−	5.78002i	0.378641	−	0.925544i
$40$	2.85976			0.452168
$41$	−1.95720	−	0.524430i	−0.305663	−	0.0819022i	0.102727	−	0.994710i	$-0.467243\pi$
$41$	−1.95720	−	0.524430i	−0.305663	−	0.0819022i	−0.408390	+	0.912807i	$0.633910\pi$
$42$	1.65703	−	0.504239i	0.255685	−	0.0778057i
$43$	5.58811	+	3.22629i	0.852178	+	0.492005i	0.861385	−	0.507952i	$-0.169597\pi$
$43$	5.58811	+	3.22629i	0.852178	+	0.492005i	−0.00920700	+	0.999958i	$0.502931\pi$
$44$	−1.42848	+	1.42848i	−0.215351	+	0.215351i
$45$	1.65900	−	8.41736i	0.247309	−	1.25479i
$46$	−0.0981179	−	0.366181i	−0.0144667	−	0.0539904i
$47$	5.62258	+	5.62258i	0.820137	+	0.820137i	0.986127	−	0.165990i	$-0.0530821\pi$
$47$	5.62258	+	5.62258i	0.820137	+	0.820137i	−0.165990	+	0.986127i	$0.553082\pi$
$48$	−1.18291	+	1.26520i	−0.170738	+	0.182616i
$49$	−0.866025	+	0.500000i	−0.123718	+	0.0714286i
$50$	−0.822591	+	3.06995i	−0.116332	+	0.434157i
$51$	2.89295	+	0.671871i	0.405094	+	0.0940808i
$52$	−1.28184	−	3.37000i	−0.177760	−	0.467334i
$53$		−	5.57228i		−	0.765412i	−0.923870	−	0.382706i	$-0.874992\pi$
$53$		−	5.57228i		−	0.765412i	0.923870	−	0.382706i	$-0.125008\pi$
$54$	3.03773	+	4.21571i	0.413382	+	0.573686i
$55$	−2.88861	−	5.00321i	−0.389500	−	0.674633i
$56$	0.500000	−	0.866025i	0.0668153	−	0.115728i
$57$	0.276717	+	0.444129i	0.0366520	+	0.0588264i
$58$	−1.66611	+	0.446434i	−0.218771	+	0.0586196i
$59$	−10.1830	+	2.72854i	−1.32572	+	0.355225i	−0.851117	−	0.524975i	$-0.824075\pi$
$59$	−10.1830	+	2.72854i	−1.32572	+	0.355225i	−0.474602	+	0.880201i	$0.657408\pi$
$60$	−2.61934	−	4.20402i	−0.338155	−	0.542737i
$61$	−5.94332	+	10.2941i	−0.760964	+	1.31803i	0.181390	+	0.983411i	$0.441940\pi$
$61$	−5.94332	+	10.2941i	−0.760964	+	1.31803i	−0.942354	+	0.334617i	$0.891393\pi$
$62$	1.42496	+	2.46810i	0.180970	+	0.313449i
$63$	−2.25898	−	1.97409i	−0.284605	−	0.248711i
$64$			1.00000i			0.125000i
$65$	10.2578	−	1.04652i	1.27232	−	0.129805i
$66$	3.40833	+	0.791565i	0.419536	+	0.0974350i
$67$	0.287524	−	1.07305i	0.0351267	−	0.131094i	−0.946136	−	0.323770i	$-0.895050\pi$
$67$	0.287524	−	1.07305i	0.0351267	−	0.131094i	0.981263	+	0.192675i	$0.0617164\pi$
$68$	1.48497	−	0.857349i	0.180079	−	0.103969i
$69$	−0.448439	+	0.479634i	−0.0539857	+	0.0577412i
$70$	2.02216	+	2.02216i	0.241694	+	0.241694i
$71$	−0.436438	−	1.62881i	−0.0517957	−	0.193304i	0.935180	−	0.354172i	$-0.115237\pi$
$71$	−0.436438	−	1.62881i	−0.0517957	−	0.193304i	−0.986976	+	0.160868i	$0.948571\pi$
$72$	2.94338	+	0.580118i	0.346880	+	0.0683676i
$73$	−8.83094	+	8.83094i	−1.03358	+	1.03358i	−0.0341672	+	0.999416i	$0.510878\pi$
$73$	−8.83094	+	8.83094i	−1.03358	+	1.03358i	−0.999416	+	0.0341672i	$0.989122\pi$
$74$	7.49908	+	4.32960i	0.871750	+	0.503305i
$75$	5.26645	−	1.60260i	0.608117	−	0.185052i
$76$	0.291822	+	0.0781935i	0.0334743	+	0.00896941i
$77$	−2.02017			−0.230220
$78$	−3.78002	+	4.97106i	−0.428003	+	0.562862i
$79$	−3.44182			−0.387235			−0.193618	−	0.981077i	$-0.562022\pi$
$79$	−3.44182			−0.387235			−0.193618	+	0.981077i	$0.562022\pi$
$80$	−2.76232	−	0.740161i	−0.308837	−	0.0827526i
$81$	3.41501	−	8.32693i	0.379446	−	0.925214i
$82$	1.75478	+	1.01312i	0.193783	+	0.111880i
$83$	−11.1986	+	11.1986i	−1.22920	+	1.22920i	−0.264935	+	0.964266i	$0.585351\pi$
$83$	−11.1986	+	11.1986i	−1.22920	+	1.22920i	−0.964266	+	0.264935i	$0.914649\pi$
$84$	−1.73107	+	0.0581866i	−0.188876	+	0.00634868i
$85$	1.26915	+	4.73654i	0.137659	+	0.513750i
$86$	−4.56267	−	4.56267i	−0.492005	−	0.492005i
$87$	2.18232	+	2.04039i	0.233970	+	0.218752i
$88$	1.74952	−	1.01009i	0.186499	−	0.107676i
$89$	−4.32027	+	16.1235i	−0.457947	+	1.70908i	0.221328	+	0.975199i	$0.428961\pi$
$89$	−4.32027	+	16.1235i	−0.457947	+	1.70908i	−0.679276	+	0.733883i	$0.737706\pi$
$90$	−3.78105	+	7.70116i	−0.398557	+	0.811774i
$91$	1.47655	−	3.28935i	0.154784	−	0.344817i
$92$			0.379098i			0.0395237i
$93$	2.32310	−	4.35537i	0.240894	−	0.451631i
$94$	−3.97576	−	6.88622i	−0.410069	−	0.710260i
$95$	−0.431991	+	0.748230i	−0.0443213	+	0.0767668i
$96$	1.47006	−	0.915928i	0.150037	−	0.0934815i
$97$	11.6792	−	3.12942i	1.18584	−	0.317745i	0.388599	−	0.921407i	$-0.372959\pi$
$97$	11.6792	−	3.12942i	1.18584	−	0.317745i	0.797240	+	0.603663i	$0.206293\pi$
$98$	0.965926	−	0.258819i	0.0975732	−	0.0261447i
$99$	−1.95813	−	5.73546i	−0.196800	−	0.576436i
$100$	1.58912	−	2.75244i	0.158912	−	0.275244i
$101$	5.04946	+	8.74593i	0.502440	+	0.870252i	0.999996	+	0.00282025i	$0.000897715\pi$
$101$	5.04946	+	8.74593i	0.502440	+	0.870252i	−0.497556	+	0.867432i	$0.665769\pi$
$102$	−2.62048	−	1.39773i	−0.259466	−	0.138396i
$103$		−	10.8658i		−	1.07064i	−0.844649	−	0.535321i	$-0.820191\pi$
$103$		−	10.8658i		−	1.07064i	0.844649	−	0.535321i	$-0.179809\pi$
$104$	0.365948	+	3.58693i	0.0358842	+	0.351728i
$105$	1.12054	−	4.82484i	0.109354	−	0.470857i
$106$	−1.44221	+	5.38241i	−0.140080	+	0.522786i
$107$	7.60387	−	4.39010i	0.735094	−	0.424407i	−0.0851887	−	0.996365i	$-0.527149\pi$
$107$	7.60387	−	4.39010i	0.735094	−	0.424407i	0.820283	+	0.571958i	$0.193816\pi$
$108$	−1.84311	−	4.85829i	−0.177353	−	0.467489i
$109$	2.58339	+	2.58339i	0.247444	+	0.247444i	0.819921	−	0.572477i	$-0.194017\pi$
$109$	2.58339	+	2.58339i	0.247444	+	0.247444i	−0.572477	+	0.819921i	$0.694017\pi$
$110$	1.49525	+	5.58036i	0.142567	+	0.532066i
$111$	−0.503849	−	14.9897i	−0.0478232	−	1.42276i
$112$	−0.707107	+	0.707107i	−0.0668153	+	0.0668153i
$113$	15.4225	+	8.90419i	1.45083	+	0.837636i	0.998528	−	0.0542309i	$-0.0172707\pi$
$113$	15.4225	+	8.90419i	1.45083	+	0.837636i	0.452299	+	0.891866i	$0.350604\pi$
$114$	−0.152339	−	0.500616i	−0.0142678	−	0.0468869i
$115$	−1.04719	−	0.280594i	−0.0976511	−	0.0261655i
$116$	1.72489			0.160152
$117$	10.7700	+	1.00372i	0.995685	+	0.0927942i
$118$	10.5423			0.970494
$119$	1.65627	+	0.443796i	0.151830	+	0.0406828i
$120$	1.44200	+	4.73871i	0.131636	+	0.432583i
$121$	5.99195	+	3.45945i	0.544723	+	0.314496i
$122$	8.40512	−	8.40512i	0.760964	−	0.760964i
$123$	−0.117900	−	3.50757i	−0.0106307	−	0.316267i
$124$	−0.737612	−	2.75281i	−0.0662395	−	0.247209i
$125$	−3.68387	−	3.68387i	−0.329495	−	0.329495i
$126$	1.67108	+	2.49149i	0.148871	+	0.221959i
$127$	5.47486	−	3.16091i	0.485816	−	0.280486i	−0.237021	−	0.971504i	$-0.576171\pi$
$127$	5.47486	−	3.16091i	0.485816	−	0.280486i	0.722837	+	0.691019i	$0.242838\pi$
$128$	0.258819	−	0.965926i	0.0228766	−	0.0853766i
$129$	−2.52832	+	10.8865i	−0.222606	+	0.958501i
$130$	−10.1791	−	1.64404i	−0.892767	−	0.144192i
$131$			12.2718i			1.07219i	0.844158	+	0.536094i	$0.180101\pi$
$131$			12.2718i			1.07219i	−0.844158	+	0.536094i	$0.819899\pi$
$132$	−3.08732	−	1.64673i	−0.268717	−	0.143330i
$133$	0.151058	+	0.261640i	0.0130984	+	0.0226871i
$134$	−0.555454	+	0.962074i	−0.0479839	+	0.0831106i
$135$	14.7843	−	1.49535i	1.27243	−	0.128699i
$136$	−1.65627	+	0.443796i	−0.142024	+	0.0380552i
$137$	7.37915	−	1.97724i	0.630443	−	0.168927i	0.0705722	−	0.997507i	$-0.477517\pi$
$137$	7.37915	−	1.97724i	0.630443	−	0.168927i	0.559871	+	0.828580i	$0.310851\pi$
$138$	0.557297	−	0.347227i	0.0474403	−	0.0295579i
$139$	6.19143	−	10.7239i	0.525151	−	0.909588i	−0.474420	−	0.880298i	$-0.657342\pi$
$139$	6.19143	−	10.7239i	0.525151	−	0.909588i	0.999571	−	0.0292891i	$-0.00932436\pi$
$140$	−1.42988	−	2.47663i	−0.120847	−	0.209313i
$141$	−6.48165	+	12.1519i	−0.545853	+	1.02337i
$142$			1.68627i			0.141508i
$143$	5.90577	−	4.26334i	0.493865	−	0.356519i
$144$	−2.69294	−	1.32215i	−0.224411	−	0.110179i
$145$	−1.27669	+	4.76469i	−0.106024	+	0.395686i
$146$	10.8156	−	6.24442i	0.895109	−	0.516792i
$147$	−1.26520	−	1.18291i	−0.104352	−	0.0975647i
$148$	−6.12297	−	6.12297i	−0.503305	−	0.503305i
$149$	−2.44718	−	9.13300i	−0.200481	−	0.748204i	−0.990780	−	0.135483i	$-0.956741\pi$
$149$	−2.44718	−	9.13300i	−0.200481	−	0.748204i	0.790299	−	0.612721i	$-0.209925\pi$
$150$	−5.50178	+	0.184931i	−0.449219	+	0.0150996i
$151$	−7.01021	+	7.01021i	−0.570483	+	0.570483i	−0.932263	−	0.361780i	$-0.882169\pi$
$151$	−7.01021	+	7.01021i	−0.570483	+	0.570483i	0.361780	+	0.932263i	$0.382169\pi$
$152$	−0.261640	−	0.151058i	−0.0212218	−	0.0122524i
$153$	0.345427	+	5.13248i	0.0279261	+	0.414937i
$154$	1.95134	+	0.522859i	0.157243	+	0.0421332i
$155$	8.15008			0.654630
$156$	4.93782	−	3.82334i	0.395342	−	0.306112i
$157$	−0.463646			−0.0370030			−0.0185015	−	0.999829i	$-0.505890\pi$
$157$	−0.463646			−0.0370030			−0.0185015	+	0.999829i	$0.505890\pi$
$158$	3.32455	+	0.890810i	0.264487	+	0.0708690i
$159$	9.23343	−	2.80976i	0.732258	−	0.222828i
$160$	2.47663	+	1.42988i	0.195795	+	0.113042i
$161$	−0.268063	+	0.268063i	−0.0211263	+	0.0211263i
$162$	−5.45382	+	7.15932i	−0.428492	+	0.562489i
$163$	4.54012	+	16.9440i	0.355610	+	1.32715i	0.879715	+	0.475501i	$0.157733\pi$
$163$	4.54012	+	16.9440i	0.355610	+	1.32715i	−0.524105	+	0.851653i	$0.675600\pi$
$164$	−1.43277	−	1.43277i	−0.111880	−	0.111880i
$165$	6.83392	−	7.30932i	0.532020	−	0.569030i
$166$	13.7154	−	7.91858i	1.06452	−	0.614601i
$167$	2.79734	−	10.4398i	0.216464	−	0.807856i	−0.769181	−	0.639030i	$-0.779336\pi$
$167$	2.79734	−	10.4398i	0.216464	−	0.807856i	0.985646	−	0.168826i	$-0.0539975\pi$
$168$	1.68715	+	0.391831i	0.130166	+	0.0302304i
$169$	2.62526	+	12.7322i	0.201943	+	0.979397i
$170$		−	4.90363i		−	0.376091i
$171$	−0.596404	+	0.682475i	−0.0456081	+	0.0521901i
$172$	3.22629	+	5.58811i	0.246003	+	0.426089i
$173$	−11.1989	+	19.3970i	−0.851435	+	1.47473i	0.0284775	+	0.999594i	$0.490934\pi$
$173$	−11.1989	+	19.3970i	−0.851435	+	1.47473i	−0.879913	+	0.475135i	$0.842399\pi$
$174$	−1.57987	−	2.53569i	−0.119770	−	0.192230i
$175$	3.06995	−	0.822591i	0.232067	−	0.0621821i
$176$	−1.95134	+	0.522859i	−0.147087	+	0.0394120i
$177$	−9.65595	−	15.4978i	−0.725786	−	1.16488i
$178$	8.34611	−	14.4559i	0.625568	−	1.08351i
$179$	−9.41345	−	16.3046i	−0.703594	−	1.21866i	−0.967196	−	0.254030i	$-0.918244\pi$
$179$	−9.41345	−	16.3046i	−0.703594	−	1.21866i	0.263602	−	0.964631i	$-0.415089\pi$
$180$	5.64542	−	6.46015i	0.420785	−	0.481511i
$181$			15.4967i			1.15186i	0.817498	+	0.575931i	$0.195360\pi$
$181$			15.4967i			1.15186i	−0.817498	+	0.575931i	$0.804640\pi$
$182$	−2.27758	+	2.79511i	−0.168825	+	0.207187i
$183$	−20.0545	−	4.65755i	−1.48247	−	0.344296i
$184$	0.0981179	−	0.366181i	0.00723335	−	0.0269952i
$185$	21.4456	−	12.3816i	1.57671	−	0.910315i
$186$	−3.37119	+	3.60571i	−0.247188	+	0.264383i
$187$	2.44941	+	2.44941i	0.179118	+	0.179118i
$188$	2.05801	+	7.68058i	0.150095	+	0.560164i
$189$	2.13205	−	4.73860i	0.155084	−	0.344683i
$190$	0.610927	−	0.610927i	0.0443213	−	0.0443213i
$191$	−2.01002	−	1.16049i	−0.145440	−	0.0839699i	0.425514	−	0.904952i	$-0.360093\pi$
$191$	−2.01002	−	1.16049i	−0.145440	−	0.0839699i	−0.570954	+	0.820982i	$0.693427\pi$
$192$	−1.65703	+	0.504239i	−0.119586	+	0.0363903i
$193$	9.43371	+	2.52775i	0.679053	+	0.181952i	0.581829	−	0.813311i	$-0.302337\pi$
$193$	9.43371	+	2.52775i	0.679053	+	0.181952i	0.0972236	+	0.995263i	$0.469004\pi$
$194$	−12.0912			−0.868094
$195$	6.90649	+	16.4697i	0.494584	+	1.17942i
$196$	−1.00000			−0.0714286
$197$	17.0776	+	4.57593i	1.21673	+	0.326022i	0.809399	−	0.587259i	$-0.199793\pi$
$197$	17.0776	+	4.57593i	1.21673	+	0.326022i	0.407330	+	0.913281i	$0.366460\pi$
$198$	0.406965	+	6.04684i	0.0289217	+	0.429730i
$199$	−10.2093	−	5.89437i	−0.723721	−	0.417841i	0.0923995	−	0.995722i	$-0.470546\pi$
$199$	−10.2093	−	5.89437i	−0.723721	−	0.417841i	−0.816121	+	0.577881i	$0.803880\pi$
$200$	−2.24736	+	2.24736i	−0.158912	+	0.158912i
$201$	1.92306	−	0.0646399i	0.135642	−	0.00455935i
$202$	−2.61379	−	9.75481i	−0.183906	−	0.686346i
$203$	1.21968	+	1.21968i	0.0856047	+	0.0856047i
$204$	2.16943	+	2.02833i	0.151891	+	0.142012i
$205$	5.01825	−	2.89729i	0.350490	−	0.202355i
$206$	−2.81228	+	10.4956i	−0.195941	+	0.731262i
$207$	−1.02089	−	0.501226i	−0.0709566	−	0.0348376i
$208$	0.574888	−	3.55942i	0.0398613	−	0.246802i
$209$			0.610327i			0.0422172i
$210$	−2.33112	+	4.37042i	−0.160863	+	0.301588i
$211$	6.19456	+	10.7293i	0.426451	+	0.738635i	0.996555	−	0.0829377i	$-0.0264302\pi$
$211$	6.19456	+	10.7293i	0.426451	+	0.738635i	−0.570104	+	0.821573i	$0.693097\pi$
$212$	2.78614	−	4.82574i	0.191353	−	0.331433i
$213$	2.47891	−	1.54450i	0.169852	−	0.105827i
$214$	−8.48102	+	2.27248i	−0.579750	+	0.155344i
$215$	−17.8241	+	4.77596i	−1.21559	+	0.325718i
$216$	0.522891	+	5.16978i	0.0355783	+	0.351759i
$217$	1.42496	−	2.46810i	0.0967324	−	0.167545i
$218$	−1.82674	−	3.16400i	−0.123722	−	0.214293i
$219$	−19.0860	−	10.1802i	−1.28971	−	0.687915i
$220$		−	5.77721i		−	0.389500i
$221$	−5.77852	+	2.19798i	−0.388706	+	0.147852i
$222$	−3.39294	+	14.6093i	−0.227719	+	0.980514i
$223$	7.26002	−	27.0948i	0.486167	−	1.81440i	−0.0885813	−	0.996069i	$-0.528233\pi$
$223$	7.26002	−	27.0948i	0.486167	−	1.81440i	0.574748	−	0.818330i	$-0.305100\pi$
$224$	0.866025	−	0.500000i	0.0578638	−	0.0334077i
$225$	5.31109	+	7.91856i	0.354073	+	0.527904i
$226$	−12.5924	−	12.5924i	−0.837636	−	0.837636i
$227$	−5.81764	−	21.7117i	−0.386131	−	1.44106i	−0.836377	−	0.548155i	$-0.815330\pi$
$227$	−5.81764	−	21.7117i	−0.386131	−	1.44106i	0.450246	−	0.892904i	$-0.351336\pi$
$228$	0.0175791	+	0.522986i	0.00116421	+	0.0346356i
$229$	−14.7447	+	14.7447i	−0.974355	+	0.974355i	−0.999679	−	0.0253238i	$-0.991938\pi$
$229$	−14.7447	+	14.7447i	−0.974355	+	0.974355i	0.0253238	+	0.999679i	$0.491938\pi$
$230$	0.938886	+	0.542066i	0.0619083	+	0.0357428i
$231$	−1.01865	−	3.34748i	−0.0670222	−	0.220248i
$232$	−1.66611	−	0.446434i	−0.109386	−	0.0293098i
$233$	−22.2391			−1.45693			−0.728467	−	0.685081i	$-0.759767\pi$
$233$	−22.2391			−1.45693			−0.728467	+	0.685081i	$0.759767\pi$
$234$	−10.1432	−	3.75700i	−0.663083	−	0.245603i
$235$	−22.7395			−1.48336
$236$	−10.1830	−	2.72854i	−0.662860	−	0.177613i
$237$	−1.73550	−	5.70320i	−0.112733	−	0.370463i
$238$	−1.48497	−	0.857349i	−0.0962564	−	0.0555737i
$239$	−18.1130	+	18.1130i	−1.17163	+	1.17163i	−0.189812	+	0.981820i	$0.560788\pi$
$239$	−18.1130	+	18.1130i	−1.17163	+	1.17163i	−0.981820	+	0.189812i	$0.939212\pi$
$240$	−0.166400	−	4.95046i	−0.0107411	−	0.319551i
$241$	7.42683	+	27.7173i	0.478404	+	1.78543i	0.608085	+	0.793872i	$0.291938\pi$
$241$	7.42683	+	27.7173i	0.478404	+	1.78543i	−0.129681	+	0.991556i	$0.541395\pi$
$242$	−4.89241	−	4.89241i	−0.314496	−	0.314496i
$243$	15.5199	+	1.46002i	0.995604	+	0.0936600i
$244$	−10.2941	+	5.94332i	−0.659014	+	0.380482i
$245$	0.740161	−	2.76232i	0.0472872	−	0.176478i
$246$	−0.793944	+	3.41857i	−0.0506200	+	0.217960i
$247$	−0.993766	−	0.446089i	−0.0632318	−	0.0283839i
$248$			2.84992i			0.180970i
$249$	−24.2031	−	12.9096i	−1.53381	−	0.818112i
$250$	2.60489	+	4.51180i	0.164748	+	0.285351i
$251$	−4.50472	+	7.80241i	−0.284336	+	0.492484i	−0.972448	−	0.233121i	$-0.925106\pi$
$251$	−4.50472	+	7.80241i	−0.284336	+	0.492484i	0.688112	+	0.725604i	$0.258440\pi$
$252$	−0.969291	−	2.83910i	−0.0610596	−	0.178846i
$253$	−0.739748	+	0.198215i	−0.0465076	+	0.0124617i
$254$	−6.10642	+	1.63621i	−0.383151	+	0.102665i
$255$	−7.20863	+	4.49137i	−0.451422	+	0.281261i
$256$	−0.500000	+	0.866025i	−0.0312500	+	0.0541266i
$257$	−8.02160	−	13.8938i	−0.500373	−	0.866672i	−1.00000		0.000431304i	$-0.999863\pi$
$257$	−8.02160	−	13.8938i	−0.500373	−	0.866672i	0.499626	−	0.866241i	$-0.333471\pi$
$258$	5.25980	−	9.86115i	0.327461	−	0.613928i
$259$		−	8.65919i		−	0.538056i
$260$	9.40676	+	4.22257i	0.583382	+	0.261873i
$261$	−2.28056	+	4.64501i	−0.141163	+	0.287519i
$262$	3.17617	−	11.8536i	0.196224	−	0.732319i
$263$	15.8996	−	9.17963i	0.980410	−	0.566040i	0.0780162	−	0.996952i	$-0.475141\pi$
$263$	15.8996	−	9.17963i	0.980410	−	0.566040i	0.902394	+	0.430912i	$0.141808\pi$
$264$	2.55592	+	2.38968i	0.157306	+	0.147075i
$265$	11.2680	+	11.2680i	0.692190	+	0.692190i
$266$	−0.0781935	−	0.291822i	−0.00479435	−	0.0178928i
$267$	−28.8955	+	0.971264i	−1.76837	+	0.0594404i
$268$	0.785530	−	0.785530i	0.0479839	−	0.0479839i
$269$	−14.7600	−	8.52167i	−0.899931	−	0.519575i	−0.0227530	−	0.999741i	$-0.507243\pi$
$269$	−14.7600	−	8.52167i	−0.899931	−	0.519575i	−0.877178	+	0.480166i	$0.840576\pi$
$270$	−14.6676	−	2.38208i	−0.892642	−	0.144968i
$271$	6.19365	+	1.65958i	0.376238	+	0.100813i	0.441982	−	0.897024i	$-0.354276\pi$
$271$	6.19365	+	1.65958i	0.376238	+	0.100813i	−0.0657443	+	0.997837i	$0.520942\pi$
$272$	1.71470			0.103969
$273$	6.19508	+	0.788062i	0.374943	+	0.0476957i
$274$	−7.63945			−0.461516
$275$	6.20183	+	1.66178i	0.373984	+	0.100209i
$276$	−0.628177	+	0.191156i	−0.0378118	+	0.0115062i
$277$	1.28867	+	0.744016i	0.0774289	+	0.0447036i	0.538215	−	0.842808i	$-0.319099\pi$
$277$	1.28867	+	0.744016i	0.0774289	+	0.0447036i	−0.460786	+	0.887511i	$0.652432\pi$
$278$	−8.75601	+	8.75601i	−0.525151	+	0.525151i
$279$	8.38837	+	1.65329i	0.502199	+	0.0989798i
$280$	0.740161	+	2.76232i	0.0442331	+	0.165080i
$281$	0.664453	+	0.664453i	0.0396379	+	0.0396379i	0.726648	−	0.687010i	$-0.241077\pi$
$281$	0.664453	+	0.664453i	0.0396379	+	0.0396379i	−0.687010	+	0.726648i	$0.741077\pi$
$282$	9.40593	−	10.0602i	0.560115	−	0.599079i
$283$	−4.73940	+	2.73629i	−0.281728	+	0.162656i	−0.634205	−	0.773165i	$-0.718673\pi$
$283$	−4.73940	+	2.73629i	−0.281728	+	0.162656i	0.352477	+	0.935820i	$0.385339\pi$
$284$	0.436438	−	1.62881i	0.0258978	−	0.0966520i
$285$	−1.45766	−	0.338535i	−0.0863446	−	0.0200531i
$286$	−6.80797	+	2.58955i	−0.402564	+	0.153123i
$287$		−	2.02624i		−	0.119605i
$288$	2.25898	+	1.97409i	0.133112	+	0.116324i
$289$	7.02991	+	12.1762i	0.413524	+	0.716244i
$290$	2.46638	−	4.27190i	0.144831	−	0.250855i
$291$	11.0746	+	17.7747i	0.649206	+	1.04197i
$292$	−12.0633	+	3.23235i	−0.705951	+	0.189159i
$293$	−9.49738	+	2.54482i	−0.554843	+	0.148670i	−0.525336	−	0.850895i	$-0.676060\pi$
$293$	−9.49738	+	2.54482i	−0.554843	+	0.148670i	−0.0295069	+	0.999565i	$0.509394\pi$
$294$	0.915928	+	1.47006i	0.0534180	+	0.0857356i
$295$	15.0742	−	26.1093i	0.877653	−	1.52014i
$296$	4.32960	+	7.49908i	0.251653	+	0.435875i
$297$	8.51646	−	6.13673i	0.494175	−	0.356089i
$298$			9.45517i			0.547724i
$299$	0.217939	−	1.34937i	0.0126037	−	0.0780362i
$300$	5.36218	+	1.24534i	0.309585	+	0.0718995i
$301$	−1.67005	+	6.23272i	−0.0962603	+	0.359248i
$302$	8.58572	−	4.95697i	0.494053	−	0.285242i
$303$	−11.9461	+	12.7771i	−0.686286	+	0.734028i
$304$	0.213629	+	0.213629i	0.0122524	+	0.0122524i
$305$	−8.79803	−	32.8347i	−0.503774	−	1.88011i
$306$	0.994728	−	5.04700i	0.0568648	−	0.288518i
$307$	−17.3442	+	17.3442i	−0.989886	+	0.989886i	−0.999949	−	0.0100636i	$-0.996797\pi$
$307$	−17.3442	+	17.3442i	−0.989886	+	0.989886i	0.0100636	+	0.999949i	$0.496797\pi$
$308$	−1.74952	−	1.01009i	−0.0996882	−	0.0575550i
$309$	18.0050	−	5.47897i	1.02427	−	0.311688i
$310$	−7.87238	−	2.10940i	−0.447121	−	0.119806i
$311$	9.25725			0.524931			0.262465	−	0.964941i	$-0.415464\pi$
$311$	9.25725			0.524931			0.262465	+	0.964941i	$0.415464\pi$
$312$	−5.75912	+	2.41506i	−0.326046	+	0.136726i
$313$	−5.47229			−0.309312			−0.154656	−	0.987968i	$-0.549427\pi$
$313$	−5.47229			−0.309312			−0.154656	+	0.987968i	$0.549427\pi$
$314$	0.447848	+	0.120001i	0.0252735	+	0.00677202i
$315$	8.55993	−	0.576101i	0.482297	−	0.0324596i
$316$	−2.98071	−	1.72091i	−0.167678	−	0.0968089i
$317$	−2.92127	+	2.92127i	−0.164075	+	0.164075i	−0.784369	−	0.620294i	$-0.787013\pi$
$317$	−2.92127	+	2.92127i	−0.164075	+	0.164075i	0.620294	+	0.784369i	$0.287013\pi$
$318$	−9.64602	+	0.324232i	−0.540922	+	0.0181820i
$319$	0.901873	+	3.36583i	0.0504952	+	0.188451i
$320$	−2.02216	−	2.02216i	−0.113042	−	0.113042i
$321$	11.1087	+	10.3862i	0.620026	+	0.579700i
$322$	0.328309	−	0.189549i	0.0182959	−	0.0105632i
$323$	0.134078	−	0.500387i	0.00746031	−	0.0278423i
$324$	7.12095	−	5.50382i	0.395608	−	0.305768i
$325$	−7.23871	+	8.88355i	−0.401532	+	0.492771i
$326$		−	17.5417i		−	0.971544i
$327$	−2.97811	+	5.58340i	−0.164690	+	0.308763i
$328$	1.01312	+	1.75478i	0.0559402	+	0.0968914i
$329$	−3.97576	+	6.88622i	−0.219191	+	0.379650i
$330$	−8.49285	+	5.29151i	−0.467516	+	0.291288i
$331$	−12.6019	+	3.37667i	−0.692662	+	0.185598i	−0.587942	−	0.808903i	$-0.700062\pi$
$331$	−12.6019	+	3.37667i	−0.692662	+	0.185598i	−0.104721	+	0.994502i	$0.533395\pi$
$332$	−15.2975	+	4.09896i	−0.839560	+	0.224959i
$333$	24.5843	−	8.39327i	1.34721	−	0.459949i
$334$	−5.40404	+	9.36007i	−0.295696	+	0.512160i
$335$	1.58847	+	2.75131i	0.0867872	+	0.150320i
$336$	−1.52825	−	0.815146i	−0.0833727	−	0.0444698i
$337$		−	18.5887i		−	1.01259i	−0.862360	−	0.506295i	$-0.831015\pi$
$337$		−	18.5887i		−	1.01259i	0.862360	−	0.506295i	$-0.168985\pi$
$338$	0.759519	−	12.9778i	0.0413124	−	0.705899i
$339$	−6.97787	+	30.0454i	−0.378986	+	1.63184i
$340$	−1.26915	+	4.73654i	−0.0688295	+	0.256875i
$341$	4.98598	−	2.87866i	0.270006	−	0.155888i
$342$	0.752719	−	0.504859i	0.0407024	−	0.0272997i
$343$	−0.707107	−	0.707107i	−0.0381802	−	0.0381802i
$344$	−1.67005	−	6.23272i	−0.0900432	−	0.336046i
$345$	−0.0630819	−	1.87671i	−0.00339622	−	0.101039i
$346$	15.8376	−	15.8376i	0.851435	−	0.851435i
$347$	−6.87895	−	3.97157i	−0.369282	−	0.213205i	0.303863	−	0.952716i	$-0.401724\pi$
$347$	−6.87895	−	3.97157i	−0.369282	−	0.213205i	−0.673145	+	0.739511i	$0.735057\pi$
$348$	0.869755	+	2.85819i	0.0466237	+	0.153215i
$349$	32.6841	+	8.75767i	1.74954	+	0.468787i	0.984527	−	0.175231i	$-0.0560673\pi$
$349$	32.6841	+	8.75767i	1.74954	+	0.468787i	0.765010	+	0.644018i	$0.222734\pi$
$350$	−3.17825			−0.169885
$351$	3.76745	+	18.3523i	0.201091	+	0.979572i
$352$	2.02017			0.107676
$353$	36.0817	+	9.66806i	1.92043	+	0.514579i	0.988315	+	0.152428i	$0.0487093\pi$
$353$	36.0817	+	9.66806i	1.92043	+	0.514579i	0.932120	+	0.362150i	$0.117957\pi$
$354$	5.31582	+	17.4688i	0.282532	+	0.928458i
$355$	4.17626	+	2.41116i	0.221653	+	0.127971i
$356$	−11.8032	+	11.8032i	−0.625568	+	0.625568i
$357$	0.0997724	+	2.96827i	0.00528052	+	0.157097i
$358$	4.87276	+	18.1854i	0.257533	+	0.961128i
$359$	−11.1657	−	11.1657i	−0.589302	−	0.589302i	0.348140	−	0.937442i	$-0.386813\pi$
$359$	−11.1657	−	11.1657i	−0.589302	−	0.589302i	−0.937442	+	0.348140i	$0.886813\pi$
$360$	−7.12506	+	4.77888i	−0.375524	+	0.251869i
$361$	−16.3754	+	9.45436i	−0.861865	+	0.497598i
$362$	4.01084	−	14.9687i	0.210805	−	0.786736i
$363$	−2.71104	+	11.6732i	−0.142293	+	0.612685i
$364$	2.92340	−	2.11039i	0.153228	−	0.110614i
$365$		−	35.7151i		−	1.86941i
$366$	18.1657	+	9.68934i	0.949537	+	0.506470i
$367$	1.87960	+	3.25556i	0.0981141	+	0.169939i	0.910904	−	0.412618i	$-0.135386\pi$
$367$	1.87960	+	3.25556i	0.0981141	+	0.169939i	−0.812790	+	0.582557i	$0.802052\pi$
$368$	−0.189549	+	0.328309i	−0.00988093	+	0.0171143i
$369$	5.75270	−	1.96402i	0.299474	−	0.102243i
$370$	−23.9195	+	6.40920i	−1.24351	+	0.333198i
$371$	5.38241	−	1.44221i	0.279441	−	0.0748759i
$372$	4.18955	−	2.61032i	0.217218	−	0.135339i
$373$	−10.2831	+	17.8109i	−0.532441	+	0.922214i	0.466842	+	0.884341i	$0.345392\pi$
$373$	−10.2831	+	17.8109i	−0.532441	+	0.922214i	−0.999283	+	0.0378734i	$0.987942\pi$
$374$	−1.73199	−	2.99990i	−0.0895592	−	0.155121i
$375$	4.24673	−	7.96183i	0.219300	−	0.411147i
$376$		−	7.95152i		−	0.410069i
$377$	−6.13961	−	0.991616i	−0.316206	−	0.0510708i
$378$	−3.28584	+	4.02532i	−0.169006	+	0.207040i
$379$	9.49998	−	35.4544i	0.487981	−	1.82117i	−0.0782611	−	0.996933i	$-0.524937\pi$
$379$	9.49998	−	35.4544i	0.487981	−	1.82117i	0.566243	−	0.824239i	$-0.308397\pi$
$380$	−0.748230	+	0.431991i	−0.0383834	+	0.0221607i
$381$	7.99836	+	7.47815i	0.409768	+	0.383117i
$382$	1.64118	+	1.64118i	0.0839699	+	0.0839699i
$383$	−4.13925	−	15.4479i	−0.211506	−	0.789351i	−0.987367	−	0.158447i	$-0.949351\pi$
$383$	−4.13925	−	15.4479i	−0.211506	−	0.789351i	0.775862	−	0.630903i	$-0.217315\pi$
$384$	1.73107	−	0.0581866i	0.0883385	−	0.00296932i
$385$	4.08511	−	4.08511i	0.208196	−	0.208196i
$386$	−8.45803	−	4.88325i	−0.430502	−	0.248551i
$387$	−19.3141	+	1.29988i	−0.981790	+	0.0660765i
$388$	11.6792	+	3.12942i	0.592919	+	0.158872i
$389$	10.4677			0.530734			0.265367	−	0.964148i	$-0.414507\pi$
$389$	10.4677			0.530734			0.265367	+	0.964148i	$0.414507\pi$
$390$	−2.40848	−	17.6961i	−0.121958	−	0.896075i
$391$	0.650039			0.0328739
$392$	0.965926	+	0.258819i	0.0487866	+	0.0130723i
$393$	−20.3347	+	6.18790i	−1.02575	+	0.312138i
$394$	−15.3114	−	8.84002i	−0.771375	−	0.445354i
$395$	6.95991	−	6.95991i	0.350191	−	0.350191i
$396$	1.17194	−	5.94612i	0.0588921	−	0.298804i
$397$	−4.27048	−	15.9377i	−0.214329	−	0.799888i	−0.986402	−	0.164353i	$-0.947446\pi$
$397$	−4.27048	−	15.9377i	−0.214329	−	0.799888i	0.772072	−	0.635535i	$-0.219220\pi$
$398$	8.33589	+	8.33589i	0.417841	+	0.417841i
$399$	−0.357376	+	0.382237i	−0.0178912	+	0.0191358i
$400$	2.75244	−	1.58912i	0.137622	−	0.0794562i
$401$	5.68020	−	21.1988i	0.283656	−	1.05862i	−0.666160	−	0.745809i	$-0.732063\pi$
$401$	5.68020	−	21.1988i	0.283656	−	1.05862i	0.949816	−	0.312809i	$-0.101270\pi$
$402$	−1.87427	−	0.435288i	−0.0934799	−	0.0217102i
$403$	1.04292	+	10.2225i	0.0519516	+	0.509217i
$404$			10.0989i			0.502440i
$405$	9.93267	+	23.7441i	0.493558	+	1.17985i
$406$	−0.862444	−	1.49380i	−0.0428024	−	0.0741358i
$407$	8.74653	−	15.1494i	0.433549	−	0.750929i
$408$	−1.57054	−	2.52071i	−0.0777533	−	0.124794i
$409$	25.7839	−	6.90876i	1.27493	−	0.341616i	0.443012	−	0.896516i	$-0.353910\pi$
$409$	25.7839	−	6.90876i	1.27493	−	0.341616i	0.831918	+	0.554899i	$0.187243\pi$
$410$	−5.59713	+	1.49975i	−0.276422	+	0.0740672i
$411$	6.99719	+	11.2305i	0.345146	+	0.553958i
$412$	5.43291	−	9.41008i	0.267660	−	0.463601i
$413$	−5.27113	−	9.12987i	−0.259375	−	0.449251i
$414$	0.856375	+	0.748373i	0.0420886	+	0.0367805i
$415$		−	45.2905i		−	2.22322i
$416$	−1.47655	+	3.28935i	−0.0723936	+	0.161274i
$417$	20.8917	+	4.85199i	1.02307	+	0.237603i
$418$	0.157964	−	0.589531i	0.00772628	−	0.0288349i
$419$	−23.4069	+	13.5140i	−1.14350	+	0.660202i	−0.947296	−	0.320361i	$-0.896196\pi$
$419$	−23.4069	+	13.5140i	−1.14350	+	0.660202i	−0.196207	+	0.980562i	$0.562863\pi$
$420$	3.38284	−	3.61817i	0.165066	−	0.176548i
$421$	−9.94114	−	9.94114i	−0.484502	−	0.484502i	0.422064	−	0.906566i	$-0.361306\pi$
$421$	−9.94114	−	9.94114i	−0.484502	−	0.484502i	−0.906566	+	0.422064i	$0.861306\pi$
$422$	−3.20654	−	11.9670i	−0.156092	−	0.582543i
$423$	−23.4043	−	4.61282i	−1.13796	−	0.224283i
$424$	−3.94020	+	3.94020i	−0.191353	+	0.191353i
$425$	−4.71961	−	2.72487i	−0.228935	−	0.132175i
$426$	−2.79419	+	0.850281i	−0.135379	+	0.0411962i
$427$	−11.4816	−	3.07649i	−0.555634	−	0.148882i
$428$	8.78020			0.424407
$429$	10.0424	+	7.63629i	0.484852	+	0.368683i
$430$	18.4529			0.889877
$431$	1.57681	+	0.422506i	0.0759524	+	0.0203514i	0.296595	−	0.955003i	$-0.404149\pi$
$431$	1.57681	+	0.422506i	0.0759524	+	0.0203514i	−0.220643	+	0.975355i	$0.570815\pi$
$432$	0.832962	−	5.12895i	0.0400759	−	0.246767i
$433$	−10.7496	−	6.20626i	−0.516591	−	0.298254i	0.218948	−	0.975737i	$-0.429738\pi$
$433$	−10.7496	−	6.20626i	−0.516591	−	0.298254i	−0.735539	+	0.677483i	$0.763071\pi$
$434$	−2.01519	+	2.01519i	−0.0967324	+	0.0967324i
$435$	−8.53898	+	0.287021i	−0.409413	+	0.0137616i
$436$	0.945588	+	3.52898i	0.0452854	+	0.169008i
$437$	0.0809862	+	0.0809862i	0.00387410	+	0.00387410i
$438$	15.8008	+	14.7732i	0.754994	+	0.705889i
$439$	8.84119	−	5.10446i	0.421967	−	0.243623i	−0.273951	−	0.961744i	$-0.588331\pi$
$439$	8.84119	−	5.10446i	0.421967	−	0.243623i	0.695919	+	0.718121i	$0.254997\pi$
$440$	−1.49525	+	5.58036i	−0.0712834	+	0.266033i
$441$	1.32215	−	2.69294i	0.0629597	−	0.128235i
$442$	6.15050	−	0.627490i	0.292550	−	0.0298467i
$443$			22.6870i			1.07789i	0.842340	+	0.538947i	$0.181178\pi$
$443$			22.6870i			1.07789i	−0.842340	+	0.538947i	$0.818822\pi$
$444$	7.05850	−	13.2334i	0.334982	−	0.628028i
$445$	−23.8679	−	41.3404i	−1.13145	−	1.95972i
$446$	−14.0253	+	24.2925i	−0.664116	+	1.15028i
$447$	13.8997	−	8.66026i	0.657432	−	0.409616i
$448$	−0.965926	+	0.258819i	−0.0456357	+	0.0122281i
$449$	32.8584	−	8.80439i	1.55068	−	0.415505i	0.620985	−	0.783823i	$-0.286733\pi$
$449$	32.8584	−	8.80439i	1.55068	−	0.415505i	0.929700	+	0.368318i	$0.120066\pi$
$450$	−3.08065	−	9.02336i	−0.145223	−	0.425365i
$451$	2.04668	−	3.54495i	0.0963743	−	0.166925i
$452$	8.90419	+	15.4225i	0.418818	+	0.725414i
$453$	−15.1509	−	8.08130i	−0.711853	−	0.379693i
$454$			22.4777i			1.05493i
$455$	3.66577	+	9.63739i	0.171854	+	0.451808i
$456$	0.118379	−	0.509715i	0.00554358	−	0.0238696i
$457$	0.162582	−	0.606763i	0.00760525	−	0.0283832i	−0.962019	−	0.272983i	$-0.911990\pi$
$457$	0.162582	−	0.606763i	0.00760525	−	0.0283832i	0.969624	+	0.244600i	$0.0786565\pi$
$458$	18.0585	−	10.4261i	0.843817	−	0.487178i
$459$	−8.33049	+	3.16038i	−0.388834	+	0.147514i
$460$	−0.766597	−	0.766597i	−0.0357428	−	0.0357428i
$461$	−7.28736	−	27.1968i	−0.339406	−	1.26668i	−0.899013	−	0.437922i	$-0.855714\pi$
$461$	−7.28736	−	27.1968i	−0.339406	−	1.26668i	0.559607	−	0.828758i	$-0.310952\pi$
$462$	0.117547	+	3.49706i	0.00546878	+	0.162698i
$463$	22.7070	−	22.7070i	1.05528	−	1.05528i	0.0569025	−	0.998380i	$-0.481878\pi$
$463$	22.7070	−	22.7070i	1.05528	−	1.05528i	0.998380	−	0.0569025i	$-0.0181224\pi$
$464$	1.49380	+	0.862444i	0.0693477	+	0.0400379i
$465$	4.10959	+	13.5049i	0.190578	+	0.626276i
$466$	21.4813	+	5.75591i	0.995104	+	0.266637i
$467$	16.0335			0.741941			0.370971	−	0.928645i	$-0.379025\pi$
$467$	16.0335			0.741941			0.370971	+	0.928645i	$0.379025\pi$
$468$	8.82522	+	6.25424i	0.407946	+	0.289102i
$469$	1.11091			0.0512970
$470$	21.9646	+	5.88541i	1.01315	+	0.271474i
$471$	−0.233788	−	0.768275i	−0.0107724	−	0.0354003i
$472$	9.12987	+	5.27113i	0.420236	+	0.242623i
$473$	−9.21738	+	9.21738i	−0.423815	+	0.423815i
$474$	0.200268	+	5.95805i	0.00919862	+	0.273662i
$475$	−0.248518	−	0.927483i	−0.0114028	−	0.0425558i
$476$	1.21247	+	1.21247i	0.0555737	+	0.0555737i
$477$	9.31170	+	13.8833i	0.426354	+	0.635671i
$478$	22.1838	−	12.8078i	1.01466	−	0.585816i
$479$	−2.11394	+	7.88935i	−0.0965886	+	0.360474i	−0.997256	−	0.0740366i	$-0.976412\pi$
$479$	−2.11394	+	7.88935i	−0.0965886	+	0.360474i	0.900667	+	0.434510i	$0.143078\pi$
$480$	−1.12054	+	4.82484i	−0.0511456	+	0.220223i
$481$	18.2742	+	25.3143i	0.833234	+	1.15423i
$482$		−	28.6951i		−	1.30702i
$483$	−0.579356	−	0.309020i	−0.0263616	−	0.0140609i
$484$	3.45945	+	5.99195i	0.157248	+	0.272361i
$485$	−17.2889	+	29.9453i	−0.785049	+	1.35975i
$486$	−14.6132	−	5.42712i	−0.662869	−	0.246179i
$487$	4.45680	−	1.19420i	0.201957	−	0.0541142i	−0.156422	−	0.987690i	$-0.549996\pi$
$487$	4.45680	−	1.19420i	0.201957	−	0.0541142i	0.358379	+	0.933576i	$0.383329\pi$
$488$	11.4816	−	3.07649i	0.519748	−	0.139266i
$489$	−25.7873	+	16.0669i	−1.16614	+	0.726571i
$490$	−1.42988	+	2.47663i	−0.0645955	+	0.111883i
$491$	−5.12254	−	8.87251i	−0.231177	−	0.400411i	0.726978	−	0.686661i	$-0.240924\pi$
$491$	−5.12254	−	8.87251i	−0.231177	−	0.400411i	−0.958155	+	0.286251i	$0.907591\pi$
$492$	1.65168	−	3.09660i	0.0744636	−	0.139605i
$493$		−	2.95766i		−	0.133206i
$494$	0.844448	+	0.688094i	0.0379935	+	0.0309588i
$495$	15.5577	+	7.63836i	0.699265	+	0.343319i
$496$	0.737612	−	2.75281i	0.0331198	−	0.123605i
$497$	1.46035	−	0.843133i	0.0655056	−	0.0378197i
$498$	20.0371	+	18.7339i	0.897885	+	0.839487i
$499$	19.5401	+	19.5401i	0.874737	+	0.874737i	0.992984	−	0.118247i	$-0.0377275\pi$
$499$	19.5401	+	19.5401i	0.874737	+	0.874737i	−0.118247	+	0.992984i	$0.537727\pi$
$500$	−1.34839	−	5.03226i	−0.0603018	−	0.225050i
$501$	18.7096	−	0.628885i	0.835882	−	0.0280965i
$502$	6.37064	−	6.37064i	0.284336	−	0.284336i
$503$	8.88415	+	5.12927i	0.396125	+	0.228703i	0.684810	−	0.728721i	$-0.259885\pi$
$503$	8.88415	+	5.12927i	0.396125	+	0.228703i	−0.288686	+	0.957424i	$0.593218\pi$
$504$	0.201451	+	2.99323i	0.00897332	+	0.133329i
$505$	−27.8965	−	7.47484i	−1.24138	−	0.332626i
$506$	0.765844			0.0340459
$507$	−19.7738	+	10.7702i	−0.878185	+	0.478321i
$508$	6.32183			0.280486
$509$	13.4969	+	3.61649i	0.598240	+	0.160298i	0.545217	−	0.838295i	$-0.316447\pi$
$509$	13.4969	+	3.61649i	0.598240	+	0.160298i	0.0530237	+	0.998593i	$0.483114\pi$
$510$	8.12546	−	2.47260i	0.359801	−	0.109489i
$511$	−10.8156	−	6.24442i	−0.478456	−	0.276237i
$512$	0.707107	−	0.707107i	0.0312500	−	0.0312500i
$513$	−1.43161	−	0.644128i	−0.0632071	−	0.0284389i
$514$	4.15228	+	15.4965i	0.183149	+	0.683523i
$515$	21.9724	+	21.9724i	0.968220	+	0.968220i
$516$	−7.63283	+	8.16380i	−0.336017	+	0.359391i
$517$	−13.9113	+	8.03172i	−0.611820	+	0.353235i
$518$	−2.24116	+	8.36414i	−0.0984711	+	0.367499i
$519$	−37.7884	−	8.77613i	−1.65872	−	0.385230i
$520$	−7.99335	−	6.51334i	−0.350532	−	0.285629i
$521$			30.8627i			1.35212i	0.736848	+	0.676059i	$0.236314\pi$
$521$			30.8627i			1.35212i	−0.736848	+	0.676059i	$0.763686\pi$
$522$	3.40507	−	3.89648i	0.149036	−	0.170544i
$523$	−1.87075	−	3.24023i	−0.0818021	−	0.141685i	0.822222	−	0.569167i	$-0.192734\pi$
$523$	−1.87075	−	3.24023i	−0.0818021	−	0.141685i	−0.904024	+	0.427482i	$0.859401\pi$
$524$	−6.13588	+	10.6277i	−0.268047	+	0.464271i
$525$	2.91105	+	4.67222i	0.127048	+	0.203912i
$526$	−17.7337	+	4.75172i	−0.773225	+	0.207185i
$527$	−4.72023	+	1.26478i	−0.205617	+	0.0550948i
$528$	−1.85033	−	2.96977i	−0.0805253	−	0.129243i
$529$	11.4281	−	19.7941i	0.496876	−	0.860614i
$530$	−7.96770	−	13.8005i	−0.346095	−	0.599454i
$531$	20.8113	−	23.8147i	0.903134	−	1.03347i
$532$			0.302116i			0.0130984i
$533$	4.27615	+	5.92352i	0.185221	+	0.256576i
$534$	28.1623	+	6.54053i	1.21870	+	0.283036i
$535$	−6.49876	+	24.2537i	−0.280966	+	1.04858i
$536$	−0.962074	+	0.555454i	−0.0415553	+	0.0239920i
$537$	22.2705	−	23.8198i	0.961044	−	1.02790i
$538$	12.0515	+	12.0515i	0.519575	+	0.519575i
$539$	−0.522859	−	1.95134i	−0.0225211	−	0.0840500i
$540$	13.5513	+	6.09716i	0.583154	+	0.262380i
$541$	4.85285	−	4.85285i	0.208640	−	0.208640i	−0.595049	−	0.803689i	$-0.702867\pi$
$541$	4.85285	−	4.85285i	0.208640	−	0.208640i	0.803689	+	0.595049i	$0.202867\pi$
$542$	−5.55308	−	3.20607i	−0.238525	−	0.137713i
$543$	−25.6785	+	7.81404i	−1.10197	+	0.335333i
$544$	−1.65627	−	0.443796i	−0.0710120	−	0.0190276i
$545$	−10.4481			−0.447546
$546$	−5.78002	−	2.36461i	−0.247362	−	0.101196i
$547$	−23.8173			−1.01835			−0.509177	−	0.860662i	$-0.670050\pi$
$547$	−23.8173			−1.01835			−0.509177	+	0.860662i	$0.670050\pi$
$548$	7.37915	+	1.97724i	0.315221	+	0.0844633i
$549$	−2.39457	−	35.5794i	−0.102198	−	1.51849i
$550$	−5.56041	−	3.21030i	−0.237097	−	0.136888i
$551$	0.368485	−	0.368485i	0.0156980	−	0.0156980i
$552$	0.656247	−	0.0220584i	0.0279317	−	0.000938870i
$553$	−0.890810	−	3.32455i	−0.0378811	−	0.141374i
$554$	−1.05220	−	1.05220i	−0.0447036	−	0.0447036i
$555$	31.3304	+	29.2927i	1.32990	+	1.24340i
$556$	10.7239	−	6.19143i	0.454794	−	0.262575i
$557$	−2.27391	+	8.48636i	−0.0963488	+	0.359579i	−0.997221	−	0.0745068i	$-0.976262\pi$
$557$	−2.27391	+	8.48636i	−0.0963488	+	0.359579i	0.900872	+	0.434085i	$0.142928\pi$
$558$	−7.67464	−	3.76802i	−0.324894	−	0.159513i
$559$	−8.27122	−	21.7452i	−0.349835	−	0.919724i
$560$		−	2.85976i		−	0.120847i
$561$	−2.82365	+	5.29382i	−0.119215	+	0.223505i
$562$	−0.469839	−	0.813785i	−0.0198190	−	0.0343274i
$563$	8.08713	−	14.0073i	0.340832	−	0.590338i	−0.643756	−	0.765231i	$-0.722625\pi$
$563$	8.08713	−	14.0073i	0.340832	−	0.590338i	0.984587	+	0.174893i	$0.0559580\pi$
$564$	−11.6892	+	7.28302i	−0.492205	+	0.306670i
$565$	−49.1924	+	13.1811i	−2.06954	+	0.554532i
$566$	5.28611	−	1.41641i	0.222192	−	0.0595361i
$567$	8.92706	+	1.14348i	0.374901	+	0.0480217i
$568$	−0.843133	+	1.46035i	−0.0353771	+	0.0612749i
$569$	18.2667	+	31.6389i	0.765780	+	1.32637i	0.939833	+	0.341634i	$0.110980\pi$
$569$	18.2667	+	31.6389i	0.765780	+	1.32637i	−0.174053	+	0.984736i	$0.555686\pi$
$570$	1.32038	+	0.704271i	0.0553045	+	0.0294987i
$571$			38.5289i			1.61238i	0.591655	+	0.806191i	$0.298475\pi$
$571$			38.5289i			1.61238i	−0.591655	+	0.806191i	$0.701525\pi$
$572$	7.24622	−	0.739278i	0.302980	−	0.0309108i
$573$	0.909429	−	3.91583i	0.0379919	−	0.163586i
$574$	−0.524430	+	1.95720i	−0.0218893	+	0.0816919i
$575$	1.04345	−	0.602434i	0.0435147	−	0.0251233i
$576$	−1.67108	−	2.49149i	−0.0696281	−	0.103812i
$577$	−13.9447	−	13.9447i	−0.580527	−	0.580527i	0.354521	−	0.935048i	$-0.384644\pi$
$577$	−13.9447	−	13.9447i	−0.580527	−	0.580527i	−0.935048	+	0.354521i	$0.884644\pi$
$578$	−3.63895	−	13.5807i	−0.151360	−	0.564884i
$579$	0.568279	+	16.9065i	0.0236169	+	0.702611i
$580$	−3.48799	+	3.48799i	−0.144831	+	0.144831i
$581$	−13.7154	−	7.91858i	−0.569010	−	0.328518i
$582$	−6.09683	−	20.0354i	−0.252722	−	0.830493i
$583$	10.8734	+	2.91352i	0.450330	+	0.120666i
$584$	12.4888			0.516792
$585$	−23.8083	+	19.7489i	−0.984352	+	0.816518i
$586$	9.83241			0.406173
$587$	36.5918	+	9.80474i	1.51030	+	0.404685i	0.916536	−	0.399952i	$-0.130973\pi$
$587$	36.5918	+	9.80474i	1.51030	+	0.404685i	0.593768	+	0.804636i	$0.297640\pi$
$588$	−0.504239	−	1.65703i	−0.0207945	−	0.0683347i
$589$	−0.745653	−	0.430503i	−0.0307241	−	0.0177386i
$590$	−21.3181	+	21.3181i	−0.877653	+	0.877653i
$591$	1.02874	+	30.6054i	0.0423168	+	1.25894i
$592$	−2.24116	−	8.36414i	−0.0921113	−	0.343764i
$593$	−0.199598	−	0.199598i	−0.00819652	−	0.00819652i	0.702997	−	0.711193i	$-0.251845\pi$
$593$	−0.199598	−	0.199598i	−0.00819652	−	0.00819652i	−0.711193	+	0.702997i	$0.751845\pi$
$594$	−9.81457	+	3.72340i	−0.402697	+	0.152773i
$595$	−4.24667	+	2.45182i	−0.174096	+	0.100515i
$596$	2.44718	−	9.13300i	0.100240	−	0.374102i
$597$	4.61919	−	19.8893i	0.189051	−	0.814017i
$598$	−0.559756	+	1.24699i	−0.0228901	+	0.0509931i
$599$			34.6766i			1.41685i	0.705787	+	0.708424i	$0.250593\pi$
$599$			34.6766i			1.41685i	−0.705787	+	0.708424i	$0.749407\pi$
$600$	−4.85715	−	2.59073i	−0.198292	−	0.105766i
$601$	−6.15647	−	10.6633i	−0.251128	−	0.434966i	0.712709	−	0.701460i	$-0.247468\pi$
$601$	−6.15647	−	10.6633i	−0.251128	−	0.434966i	−0.963837	+	0.266494i	$0.914135\pi$
$602$	3.22629	−	5.58811i	0.131494	−	0.227754i
$603$	1.07679	+	3.15398i	0.0438504	+	0.128440i
$604$	−9.57613	+	2.56592i	−0.389647	+	0.104406i
$605$	−19.1122	+	5.12111i	−0.777023	+	0.208203i
$606$	14.8460	−	9.24989i	0.603079	−	0.375751i
$607$	4.00453	−	6.93604i	0.162539	−	0.281525i	−0.773240	−	0.634114i	$-0.781365\pi$
$607$	4.00453	−	6.93604i	0.162539	−	0.281525i	0.935778	+	0.352588i	$0.114698\pi$
$608$	−0.151058	−	0.261640i	−0.00612622	−	0.0106109i
$609$	−1.40603	+	2.63605i	−0.0569754	+	0.106818i
$610$			33.9930i			1.37634i
$611$	−2.90984	−	28.5216i	−0.117720	−	1.15386i
$612$	−2.26709	+	4.61757i	−0.0916418	+	0.186654i
$613$	3.24659	−	12.1164i	0.131128	−	0.489378i	−0.868855	−	0.495066i	$-0.835144\pi$
$613$	3.24659	−	12.1164i	0.131128	−	0.489378i	0.999984	+	0.00568791i	$0.00181053\pi$
$614$	21.2422	−	12.2642i	0.857266	−	0.494943i
$615$	7.33128	+	6.85446i	0.295626	+	0.276398i
$616$	1.42848	+	1.42848i	0.0575550	+	0.0575550i
$617$	−6.13143	−	22.8828i	−0.246842	−	0.921227i	−0.972449	−	0.233117i	$-0.925107\pi$
$617$	−6.13143	−	22.8828i	−0.246842	−	0.921227i	0.725606	−	0.688110i	$-0.241559\pi$
$618$	−18.8095	+	0.632245i	−0.756630	+	0.0254326i
$619$	0.161544	−	0.161544i	0.00649300	−	0.00649300i	−0.703853	−	0.710346i	$-0.748539\pi$
$619$	0.161544	−	0.161544i	0.00649300	−	0.00649300i	0.710346	+	0.703853i	$0.248539\pi$
$620$	7.05818	+	4.07504i	0.283463	+	0.163658i
$621$	0.315775	−	1.94438i	0.0126716	−	0.0780252i
$622$	−8.94182	−	2.39595i	−0.358534	−	0.0960690i
$623$	−16.6922			−0.668760
$624$	6.18795	−	0.842194i	0.247716	−	0.0337148i
$625$	30.7900			1.23160
$626$	5.28583	+	1.41633i	0.211264	+	0.0566080i
$627$	−1.01133	+	0.307750i	−0.0403886	+	0.0122904i
$628$	−0.401530	−	0.231823i	−0.0160228	−	0.00925075i
$629$	−10.4990	+	10.4990i	−0.418624	+	0.418624i
$630$	−8.41736	−	1.65900i	−0.335356	−	0.0660962i
$631$	−3.08221	−	11.5030i	−0.122701	−	0.457926i	0.877046	−	0.480406i	$-0.159511\pi$
$631$	−3.08221	−	11.5030i	−0.122701	−	0.457926i	−0.999747	+	0.0224796i	$0.992844\pi$
$632$	2.43374	+	2.43374i	0.0968089	+	0.0968089i
$633$	−14.6552	+	15.6747i	−0.582492	+	0.623013i
$634$	3.57781	−	2.06565i	0.142093	−	0.0820374i
$635$	−4.67917	+	17.4629i	−0.185687	+	0.692994i
$636$	9.40126	+	2.18339i	0.372784	+	0.0865771i
$637$	3.55942	+	0.574888i	0.141030	+	0.0227779i
$638$		−	3.48457i		−	0.137955i
$639$	3.80924	+	3.32883i	0.150691	+	0.131687i
$640$	1.42988	+	2.47663i	0.0565210	+	0.0978973i
$641$	−11.7572	+	20.3640i	−0.464381	+	0.804331i	−0.999173	−	0.0406525i	$-0.987056\pi$
$641$	−11.7572	+	20.3640i	−0.464381	+	0.804331i	0.534793	+	0.844983i	$0.320390\pi$
$642$	−8.04202	−	12.9074i	−0.317393	−	0.509415i
$643$	39.9287	−	10.6989i	1.57464	−	0.421922i	0.637376	−	0.770553i	$-0.280020\pi$
$643$	39.9287	−	10.6989i	1.57464	−	0.421922i	0.937260	+	0.348631i	$0.113353\pi$
$644$	−0.366181	+	0.0981179i	−0.0144295	+	0.00386639i
$645$	−16.9015	−	27.1268i	−0.665496	−	1.06812i
$646$	−0.259019	+	0.448634i	−0.0101910	+	0.0176513i
$647$	−6.50329	−	11.2640i	−0.255671	−	0.442834i	0.709407	−	0.704799i	$-0.248963\pi$
$647$	−6.50329	−	11.2640i	−0.255671	−	0.442834i	−0.965077	+	0.261965i	$0.915630\pi$
$648$	−8.30280	+	3.47325i	−0.326165	+	0.136442i
$649$		−	21.2972i		−	0.835987i
$650$	9.29129	−	6.70733i	0.364434	−	0.263083i
$651$	4.80823	+	1.11668i	0.188449	+	0.0437663i
$652$	−4.54012	+	16.9440i	−0.177805	+	0.663577i
$653$	−19.9695	+	11.5294i	−0.781467	+	0.451180i	−0.836950	−	0.547279i	$-0.815664\pi$
$653$	−19.9695	+	11.5294i	−0.781467	+	0.451180i	0.0554827	+	0.998460i	$0.482330\pi$
$654$	4.32173	−	4.62236i	0.168993	−	0.180749i
$655$	−24.8154	−	24.8154i	−0.969620	−	0.969620i
$656$	−0.524430	−	1.95720i	−0.0204756	−	0.0764158i
$657$	7.24500	−	36.7593i	0.282654	−	1.43412i
$658$	5.62258	−	5.62258i	0.219191	−	0.219191i
$659$	33.6049	+	19.4018i	1.30906	+	0.755786i	0.981939	−	0.189197i	$-0.0605884\pi$
$659$	33.6049	+	19.4018i	1.30906	+	0.755786i	0.327120	+	0.944983i	$0.393922\pi$
$660$	9.57301	−	2.91309i	0.372629	−	0.113392i
$661$	−27.5411	−	7.37962i	−1.07123	−	0.287034i	−0.320229	−	0.947340i	$-0.603760\pi$
$661$	−27.5411	−	7.37962i	−1.07123	−	0.287034i	−0.750997	+	0.660306i	$0.770427\pi$
$662$	13.0464			0.507064
$663$	−6.55587	−	8.46688i	−0.254609	−	0.328826i
$664$	15.8372			0.614601
$665$	−0.834542	−	0.223615i	−0.0323622	−	0.00867141i
$666$	−25.9189	+	1.74440i	−1.00434	+	0.0675941i
$667$	0.566296	+	0.326951i	0.0219271	+	0.0126596i
$668$	7.64247	−	7.64247i	0.295696	−	0.295696i
$669$	48.5576	−	1.63217i	1.87734	−	0.0631032i
$670$	−0.822251	−	3.06868i	−0.0317663	−	0.118554i
$671$	−16.9798	−	16.9798i	−0.655497	−	0.655497i
$672$	1.26520	+	1.18291i	0.0488061	+	0.0456317i
$673$	−34.8701	+	20.1322i	−1.34414	+	0.776041i	−0.987412	−	0.158166i	$-0.949442\pi$
$673$	−34.8701	+	20.1322i	−1.34414	+	0.776041i	−0.356730	+	0.934207i	$0.616108\pi$
$674$	−4.81110	+	17.9553i	−0.185317	+	0.691612i
$675$	−10.4432	+	12.7935i	−0.401960	+	0.492421i
$676$	−4.09254	+	12.3390i	−0.157405	+	0.474577i
$677$		−	9.96090i		−	0.382828i	−0.981509	−	0.191414i	$-0.938693\pi$
$677$		−	9.96090i		−	0.382828i	0.981509	−	0.191414i	$-0.0613074\pi$
$678$	14.5164	−	27.2156i	0.557500	−	1.04521i
$679$	6.04558	+	10.4712i	0.232008	+	0.401849i
$680$	2.45182	−	4.24667i	0.0940228	−	0.162852i
$681$	33.0435	−	20.5879i	1.26623	−	0.788930i
$682$	−5.56114	+	1.49010i	−0.212947	+	0.0570590i
$683$	26.5474	−	7.11336i	1.01581	−	0.272185i	0.287754	−	0.957704i	$-0.407091\pi$
$683$	26.5474	−	7.11336i	1.01581	−	0.272185i	0.728055	+	0.685519i	$0.240425\pi$
$684$	−0.857738	+	0.292839i	−0.0327964	+	0.0111970i
$685$	−10.9235	+	18.9201i	−0.417366	+	0.722899i
$686$	0.500000	+	0.866025i	0.0190901	+	0.0330650i
$687$	−31.8672	−	16.9975i	−1.21581	−	0.648495i
$688$			6.45259i			0.246003i
$689$	−12.6913	+	15.5751i	−0.483500	+	0.593365i
$690$	−0.424796	+	1.82909i	−0.0161717	+	0.0696323i
$691$	4.12190	−	15.3832i	0.156805	−	0.585203i	−0.842139	−	0.539260i	$-0.818704\pi$
$691$	4.12190	−	15.3832i	0.156805	−	0.585203i	0.998944	−	0.0459429i	$-0.0146292\pi$
$692$	−19.3970	+	11.1989i	−0.737365	+	0.425718i
$693$	5.03323	−	3.37586i	0.191197	−	0.128238i
$694$	5.61664	+	5.61664i	0.213205	+	0.213205i
$695$	9.16532	+	34.2054i	0.347660	+	1.29749i
$696$	−0.100365	−	2.98591i	−0.00380434	−	0.113180i
$697$	−2.45677	+	2.45677i	−0.0930567	+	0.0930567i
$698$	−29.3037	−	16.9185i	−1.10916	−	0.640375i
$699$	−11.2138	−	36.8509i	−0.424146	−	1.39383i
$700$	3.06995	+	0.822591i	0.116033	+	0.0310910i
$701$	−19.7505			−0.745965			−0.372982	−	0.927838i	$-0.621665\pi$
$701$	−19.7505			−0.745965			−0.372982	+	0.927838i	$0.621665\pi$
$702$	1.11085	−	18.7020i	0.0419263	−	0.705863i
$703$	−2.61608			−0.0986675
$704$	−1.95134	−	0.522859i	−0.0735437	−	0.0197060i
$705$	−11.4661	−	37.6800i	−0.431839	−	1.41911i
$706$	−32.3500	−	18.6773i	−1.21751	−	0.702928i
$707$	−7.14102	+	7.14102i	−0.268566	+	0.268566i
$708$	−0.613418	−	18.2494i	−0.0230537	−	0.685855i
$709$	−3.84987	−	14.3679i	−0.144585	−	0.539599i	−0.999774	−	0.0212816i	$-0.993225\pi$
$709$	−3.84987	−	14.3679i	−0.144585	−	0.539599i	0.855188	−	0.518317i	$-0.173441\pi$
$710$	−3.40990	−	3.40990i	−0.127971	−	0.127971i
$711$	8.57526	−	5.75155i	0.321597	−	0.215700i
$712$	14.4559	−	8.34611i	0.541757	−	0.312784i
$713$	0.279628	−	1.04358i	0.0104721	−	0.0390825i
$714$	0.671871	−	2.89295i	0.0251442	−	0.108266i
$715$	−3.32125	+	20.5636i	−0.124208	+	0.769033i
$716$		−	18.8269i		−	0.703594i
$717$	−39.1470	−	20.8805i	−1.46197	−	0.779796i
$718$	7.89533	+	13.6751i	0.294651	+	0.510351i
$719$	22.3008	−	38.6261i	0.831679	−	1.44051i	−0.0650264	−	0.997884i	$-0.520713\pi$
$719$	22.3008	−	38.6261i	0.831679	−	1.44051i	0.896706	−	0.442627i	$-0.145954\pi$
$720$	8.11915	−	2.77194i	0.302583	−	0.103304i
$721$	10.4956	−	2.81228i	0.390876	−	0.104735i
$722$	18.2644	−	4.89394i	0.679732	−	0.182134i
$723$	−42.1835	+	26.2826i	−1.56882	+	0.977460i
$724$	−7.74836	+	13.4205i	−0.287965	+	0.498771i
$725$	−2.74106	−	4.74765i	−0.101800	−	0.176323i
$726$	5.63992	−	10.5738i	0.209317	−	0.392430i
$727$		−	26.3778i		−	0.978297i	−0.872200	−	0.489149i	$-0.837308\pi$
$727$		−	26.3778i		−	0.978297i	0.872200	−	0.489149i	$-0.162692\pi$
$728$	−3.37000	+	1.28184i	−0.124900	+	0.0475083i
$729$	5.40646	+	26.4532i	0.200239	+	0.979747i
$730$	−9.24375	+	34.4982i	−0.342127	+	1.27683i
$731$	9.58191	−	5.53212i	0.354400	−	0.204613i
$732$	−15.0389	−	14.0608i	−0.555855	−	0.519703i
$733$	−2.63887	−	2.63887i	−0.0974689	−	0.0974689i	0.656691	−	0.754160i	$-0.271956\pi$
$733$	−2.63887	−	2.63887i	−0.0974689	−	0.0974689i	−0.754160	+	0.656691i	$0.771956\pi$
$734$	−0.972951	−	3.63110i	−0.0359123	−	0.134026i
$735$	4.95046	−	0.166400i	0.182600	−	0.00613775i
$736$	0.268063	−	0.268063i	0.00988093	−	0.00988093i
$737$	1.94356	+	1.12211i	0.0715918	+	0.0413335i
$738$	−6.06501	+	0.408188i	−0.223256	+	0.0150256i
$739$	17.6302	+	4.72398i	0.648536	+	0.173775i	0.568067	−	0.822983i	$-0.307692\pi$
$739$	17.6302	+	4.72398i	0.648536	+	0.173775i	0.0804689	+	0.996757i	$0.474358\pi$
$740$	24.7632			0.910315
$741$	0.238086	−	1.87163i	0.00874632	−	0.0687562i
$742$	−5.57228			−0.204565
$743$	−21.0760	−	5.64730i	−0.773203	−	0.207179i	−0.149417	−	0.988774i	$-0.547740\pi$
$743$	−21.0760	−	5.64730i	−0.773203	−	0.207179i	−0.623786	+	0.781595i	$0.714406\pi$
$744$	−4.72239	+	1.43704i	−0.173131	+	0.0526843i
$745$	23.4169	+	13.5198i	0.857931	+	0.495326i
$746$	14.5426	−	14.5426i	0.532441	−	0.532441i
$747$	9.18742	−	46.6147i	0.336150	−	1.70554i
$748$	0.896545	+	3.34595i	0.0327809	+	0.122340i
$749$	6.20854	+	6.20854i	0.226855	+	0.226855i
$750$	−6.16270	+	6.59140i	−0.225030	+	0.240684i
$751$	6.43538	−	3.71547i	0.234830	−	0.135579i	−0.377968	−	0.925819i	$-0.623377\pi$
$751$	6.43538	−	3.71547i	0.234830	−	0.135579i	0.612798	+	0.790239i	$0.290044\pi$
$752$	−2.05801	+	7.68058i	−0.0750477	+	0.280082i
$753$	−15.2003	−	3.53018i	−0.553929	−	0.128647i
$754$	5.67375	+	2.54687i	0.206626	+	0.0927517i
$755$		−	28.3515i		−	1.03182i
$756$	4.21571	−	3.03773i	0.153324	−	0.110481i
$757$	3.38014	+	5.85457i	0.122853	+	0.212788i	0.920892	−	0.389819i	$-0.127462\pi$
$757$	3.38014	+	5.85457i	0.122853	+	0.212788i	−0.798039	+	0.602606i	$0.794129\pi$
$758$	−18.3526	+	31.7876i	−0.666595	+	1.15458i
$759$	−0.701458	−	1.12584i	−0.0254613	−	0.0408653i
$760$	0.834542	−	0.223615i	0.0302720	−	0.00811136i
$761$	−29.0850	+	7.79331i	−1.05433	+	0.282507i	−0.744040	−	0.668135i	$-0.767093\pi$
$761$	−29.0850	+	7.79331i	−1.05433	+	0.282507i	−0.310291	+	0.950642i	$0.600426\pi$
$762$	−5.79034	−	9.29347i	−0.209762	−	0.336667i
$763$	−1.82674	+	3.16400i	−0.0661323	+	0.114544i
$764$	−1.16049	−	2.01002i	−0.0419849	−	0.0727201i
$765$	−11.0772	−	9.68018i	−0.400497	−	0.349988i
$766$			15.9928i			0.577845i
$767$	34.6772	+	15.5661i	1.25212	+	0.562060i
$768$	−1.68715	−	0.391831i	−0.0608797	−	0.0141390i
$769$	−5.40679	+	20.1784i	−0.194974	+	0.727653i	0.797300	+	0.603584i	$0.206261\pi$
$769$	−5.40679	+	20.1784i	−0.194974	+	0.727653i	−0.992274	+	0.124069i	$0.960406\pi$
$770$	−5.00321	+	2.88861i	−0.180303	+	0.104098i
$771$	18.9776	−	20.2978i	0.683463	−	0.731008i
$772$	6.90595	+	6.90595i	0.248551	+	0.248551i
$773$	3.90727	+	14.5821i	0.140535	+	0.524482i	0.999914	+	0.0131432i	$0.00418374\pi$
$773$	3.90727	+	14.5821i	0.140535	+	0.524482i	−0.859379	+	0.511339i	$0.829150\pi$
$774$	18.9924	+	3.74327i	0.682668	+	0.134549i
$775$	−6.40479	+	6.40479i	−0.230067	+	0.230067i
$776$	−10.4712	−	6.04558i	−0.375896	−	0.217024i
$777$	14.3485	−	4.36630i	0.514750	−	0.156640i
$778$	−10.1110	−	2.70924i	−0.362498	−	0.0971310i
$779$	−0.612161			−0.0219329
$780$	−2.25367	+	17.7165i	−0.0806944	+	0.634351i
$781$	3.40655			0.121896
$782$	−0.627890	−	0.168243i	−0.0224533	−	0.00601634i
$783$	−8.84687	−	1.43677i	−0.316161	−	0.0513458i
$784$	−0.866025	−	0.500000i	−0.0309295	−	0.0178571i
$785$	0.937566	−	0.937566i	0.0334632	−	0.0334632i
$786$	21.2433	−	0.714052i	0.757724	−	0.0254694i
$787$	7.37248	+	27.5145i	0.262800	+	0.980785i	0.963583	+	0.267410i	$0.0861677\pi$
$787$	7.37248	+	27.5145i	0.262800	+	0.980785i	−0.700782	+	0.713375i	$0.747166\pi$
$788$	12.5017	+	12.5017i	0.445354	+	0.445354i
$789$	23.2281	+	21.7173i	0.826942	+	0.773158i
$790$	−8.52412	+	4.92140i	−0.303274	+	0.175096i
$791$	−4.60915	+	17.2016i	−0.163882	+	0.611617i
$792$	−2.67098	+	5.44020i	−0.0949090	+	0.193309i
$793$	40.0579	−	15.2368i	1.42250	−	0.541076i
$794$			16.4999i			0.585559i
$795$	−12.9897	+	24.3532i	−0.460696	+	0.863720i
$796$	−5.89437	−	10.2093i	−0.208920	−	0.361861i
$797$	7.83870	−	13.5770i	0.277661	−	0.480923i	−0.693142	−	0.720801i	$-0.743774\pi$
$797$	7.83870	−	13.5770i	0.277661	−	0.480923i	0.970803	+	0.239878i	$0.0771075\pi$
$798$	0.444129	−	0.276717i	0.0157220	−	0.00979567i
$799$	13.1699	−	3.52886i	0.465917	−	0.124842i
$800$	−3.06995	+	0.822591i	−0.108539	+	0.0290830i
$801$	−16.1796	−	47.3909i	−0.571679	−	1.67447i
$802$	−10.9733	+	19.0063i	−0.387481	+	0.671137i
$803$	−12.6148	−	21.8495i	−0.445166	−	0.771051i
$804$	1.69774	+	0.905551i	0.0598747	+	0.0319363i
$805$		−	1.08413i		−	0.0382106i
$806$	1.63838	−	10.1441i	0.0577095	−	0.357309i
$807$	6.67810	−	28.7546i	0.235080	−	1.01221i
$808$	2.61379	−	9.75481i	0.0919530	−	0.343173i
$809$	−29.8331	+	17.2241i	−1.04888	+	0.605569i	−0.922334	−	0.386392i	$-0.873721\pi$
$809$	−29.8331	+	17.2241i	−1.04888	+	0.605569i	−0.126542	+	0.991961i	$0.540388\pi$
$810$	−3.44880	−	25.5058i	−0.121179	−	0.896181i
$811$	8.41121	+	8.41121i	0.295358	+	0.295358i	0.839192	−	0.543835i	$-0.183028\pi$
$811$	8.41121	+	8.41121i	0.295358	+	0.295358i	−0.543835	+	0.839192i	$0.683028\pi$
$812$	0.446434	+	1.66611i	0.0156667	+	0.0584691i
$813$	0.373101	+	11.0999i	0.0130852	+	0.389290i
$814$	−12.3695	+	12.3695i	−0.433549	+	0.433549i
$815$	−43.4442	−	25.0825i	−1.52179	−	0.878603i
$816$	0.864617	+	2.84130i	0.0302676	+	0.0994655i
$817$	1.88301	+	0.504550i	0.0658781	+	0.0176520i
$818$	−26.6934			−0.933313
$819$	1.81796	+	10.6628i	0.0635245	+	0.372588i
$820$	5.79457			0.202355
$821$	27.5272	+	7.37590i	0.960707	+	0.257421i	0.704899	−	0.709307i	$-0.250992\pi$
$821$	27.5272	+	7.37590i	0.960707	+	0.257421i	0.255807	+	0.966728i	$0.417659\pi$
$822$	−3.85211	−	12.6588i	−0.134358	−	0.441526i
$823$	46.6694	+	26.9446i	1.62679	+	0.939229i	0.985042	+	0.172316i	$0.0551252\pi$
$823$	46.6694	+	26.9446i	1.62679	+	0.939229i	0.641751	+	0.766913i	$0.278208\pi$
$824$	−7.68330	+	7.68330i	−0.267660	+	0.267660i
$825$	0.373593	+	11.1145i	0.0130068	+	0.386959i
$826$	2.72854	+	10.1830i	0.0949380	+	0.354313i
$827$	12.1106	+	12.1106i	0.421127	+	0.421127i	0.885592	−	0.464464i	$-0.153753\pi$
$827$	12.1106	+	12.1106i	0.421127	+	0.421127i	−0.464464	+	0.885592i	$0.653753\pi$
$828$	−0.633502	−	0.944519i	−0.0220157	−	0.0328243i
$829$	−38.1318	+	22.0154i	−1.32437	+	0.764627i	−0.984423	−	0.175816i	$-0.943743\pi$
$829$	−38.1318	+	22.0154i	−1.32437	+	0.764627i	−0.339950	+	0.940444i	$0.610410\pi$
$830$	−11.7220	+	43.7473i	−0.406878	+	1.51849i
$831$	−0.583057	+	2.51053i	−0.0202260	+	0.0870894i
$832$	2.27758	−	2.79511i	0.0789609	−	0.0969029i
$833$			1.71470i			0.0594108i
$834$	−18.9241	−	10.0938i	−0.655287	−	0.349521i
$835$	15.4543	+	26.7676i	0.534817	+	0.926331i
$836$	−0.305164	+	0.528559i	−0.0105543	+	0.0182806i
$837$	1.49020	+	14.7334i	0.0515087	+	0.509262i
$838$	26.1070	−	6.99536i	0.901852	−	0.241651i
$839$	−29.6061	+	7.93294i	−1.02212	+	0.273876i	−0.730684	−	0.682716i	$-0.760799\pi$
$839$	−29.6061	+	7.93294i	−1.02212	+	0.273876i	−0.291433	+	0.956591i	$0.594132\pi$
$840$	−4.20402	+	2.61934i	−0.145053	+	0.0903757i
$841$	−13.0124	+	22.5381i	−0.448703	+	0.777176i
$842$	7.02945	+	12.1754i	0.242251	+	0.419591i
$843$	−0.765974	+	1.43606i	−0.0263816	+	0.0494605i
$844$			12.3891i			0.426451i
$845$	−31.0551	−	20.4378i	−1.06833	−	0.703080i
$846$	21.4130	+	10.5131i	0.736193	+	0.361449i
$847$	−1.79074	+	6.68315i	−0.0615307	+	0.229636i
$848$	4.82574	−	2.78614i	0.165716	−	0.0956764i
$849$	−6.92391	−	6.47358i	−0.237628	−	0.222173i
$850$	3.85354	+	3.85354i	0.132175	+	0.132175i
$851$	−0.849621	−	3.17083i	−0.0291246	−	0.108695i
$852$	2.91905	−	0.0981181i	0.100005	−	0.00336147i
$853$	12.9750	−	12.9750i	0.444257	−	0.444257i	−0.449183	−	0.893440i	$-0.648285\pi$
$853$	12.9750	−	12.9750i	0.444257	−	0.444257i	0.893440	+	0.449183i	$0.148285\pi$
$854$	10.2941	+	5.94332i	0.352258	+	0.203376i
$855$	−0.174050	−	2.58609i	−0.00595237	−	0.0884426i
$856$	−8.48102	−	2.27248i	−0.289875	−	0.0776718i
$857$	50.6944			1.73169			0.865843	−	0.500316i	$-0.166783\pi$
$857$	50.6944			1.73169			0.865843	+	0.500316i	$0.166783\pi$
$858$	−7.72379	−	9.97525i	−0.263686	−	0.340549i
$859$	20.9335			0.714243			0.357122	−	0.934058i	$-0.383758\pi$
$859$	20.9335			0.714243			0.357122	+	0.934058i	$0.383758\pi$
$860$	−17.8241	−	4.77596i	−0.607797	−	0.162859i
$861$	3.35754	−	1.02171i	0.114425	−	0.0348198i
$862$	−1.41373	−	0.816219i	−0.0481519	−	0.0278005i
$863$	−34.9024	+	34.9024i	−1.18809	+	1.18809i	−0.210497	+	0.977594i	$0.567508\pi$
$863$	−34.9024	+	34.9024i	−1.18809	+	1.18809i	−0.977594	+	0.210497i	$0.932492\pi$
$864$	−2.13205	+	4.73860i	−0.0725338	+	0.161211i
$865$	−16.5780	−	61.8698i	−0.563668	−	2.10364i
$866$	8.77698	+	8.77698i	0.298254	+	0.298254i
$867$	−16.6315	+	17.7884i	−0.564835	+	0.604127i
$868$	2.46810	−	1.42496i	0.0837727	−	0.0483662i
$869$	1.79959	−	6.71615i	0.0610468	−	0.227830i
$870$	8.32231	+	1.93281i	0.282153	+	0.0655284i
$871$	−3.24763	+	2.34444i	−0.110042	+	0.0794385i
$872$		−	3.65347i		−	0.123722i
$873$	−23.8690	+	27.3137i	−0.807842	+	0.924427i
$874$	−0.0572659	−	0.0991875i	−0.00193705	−	0.00335507i
$875$	2.60489	−	4.51180i	0.0880613	−	0.152527i
$876$	−11.4389	−	18.3593i	−0.386484	−	0.620305i
$877$	4.29208	−	1.15006i	0.144933	−	0.0388347i	−0.185623	−	0.982621i	$-0.559430\pi$
$877$	4.29208	−	1.15006i	0.144933	−	0.0388347i	0.330556	+	0.943786i	$0.392764\pi$
$878$	−9.86107	+	2.64227i	−0.332795	+	0.0891721i
$879$	−9.00578	−	14.4542i	−0.303757	−	0.487529i
$880$	2.88861	−	5.00321i	0.0973749	−	0.168658i
$881$	19.9207	+	34.5036i	0.671144	+	1.16246i	0.977580	+	0.210565i	$0.0675303\pi$
$881$	19.9207	+	34.5036i	0.671144	+	1.16246i	−0.306435	+	0.951891i	$0.599136\pi$
$882$	−1.97409	+	2.25898i	−0.0664709	+	0.0760638i
$883$			17.5128i			0.589352i	0.955597	+	0.294676i	$0.0952116\pi$
$883$			17.5128i			0.589352i	−0.955597	+	0.294676i	$0.904788\pi$
$884$	−6.10334	−	0.985759i	−0.205277	−	0.0331547i
$885$	50.8648	+	11.8131i	1.70980	+	0.397092i
$886$	5.87184	−	21.9140i	0.197268	−	0.736215i
$887$	13.7745	−	7.95273i	0.462503	−	0.267026i	−0.250593	−	0.968093i	$-0.580626\pi$
$887$	13.7745	−	7.95273i	0.462503	−	0.267026i	0.713096	+	0.701066i	$0.247292\pi$
$888$	−10.2430	+	10.9556i	−0.343734	+	0.367645i
$889$	4.47021	+	4.47021i	0.149926	+	0.149926i
$890$	12.3549	+	46.1093i	0.414139	+	1.54559i
$891$	14.4631	+	11.0176i	0.484531	+	0.369105i
$892$	19.8347	−	19.8347i	0.664116	−	0.664116i
$893$	2.08044	+	1.20114i	0.0696193	+	0.0401947i
$894$	−15.6675	+	4.76766i	−0.523999	+	0.159455i
$895$	52.0059	+	13.9349i	1.73837	+	0.465794i
$896$	1.00000			0.0334077
$897$	2.34584	−	0.319274i	0.0783254	−	0.0106603i
$898$	−34.0175			−1.13518
$899$	−4.74828	−	1.27230i	−0.158364	−	0.0424335i
$900$	0.640260	+	9.51322i	0.0213420	+	0.317107i
$901$	−8.27468	−	4.77739i	−0.275670	−	0.159158i
$902$	−2.89444	+	2.89444i	−0.0963743	+	0.0963743i
$903$	−11.1699	+	0.375454i	−0.371711	+	0.0124943i
$904$	−4.60915	−	17.2016i	−0.153298	−	0.572116i
$905$	−31.3368	−	31.3368i	−1.04167	−	1.04167i
$906$	12.5431	+	11.7273i	0.416716	+	0.389613i
$907$	4.37761	−	2.52741i	0.145356	−	0.0839214i	−0.425558	−	0.904931i	$-0.639922\pi$
$907$	4.37761	−	2.52741i	0.145356	−	0.0839214i	0.570914	+	0.821010i	$0.306589\pi$
$908$	5.81764	−	21.7117i	0.193065	−	0.720530i
$909$	−27.1958	−	13.3523i	−0.902027	−	0.442869i
$910$	−1.04652	−	10.2578i	−0.0346920	−	0.340042i
$911$		−	32.8164i		−	1.08725i	−0.839327	−	0.543627i	$-0.817051\pi$
$911$		−	32.8164i		−	1.08725i	0.839327	−	0.543627i	$-0.182949\pi$
$912$	−0.246269	+	0.461708i	−0.00815478	+	0.0152887i
$913$	−15.9969	−	27.7074i	−0.529420	−	0.916981i
$914$	−0.314084	+	0.544009i	−0.0103890	+	0.0179942i
$915$	49.9717	−	31.1351i	1.65201	−	1.02929i
$916$	−20.1416	+	5.39693i	−0.665497	+	0.178319i
$917$	−11.8536	+	3.17617i	−0.391441	+	0.104886i
$918$	8.86460	−	0.896601i	0.292576	−	0.0295922i
$919$	13.4807	−	23.3492i	0.444687	−	0.770220i	−0.553344	−	0.832953i	$-0.686648\pi$
$919$	13.4807	−	23.3492i	0.444687	−	0.770220i	0.998030	+	0.0627330i	$0.0199816\pi$
$920$	0.542066	+	0.938886i	0.0178714	+	0.0309541i
$921$	−37.4854	−	19.9942i	−1.23519	−	0.658832i
$922$			28.1562i			0.927275i
$923$	−2.48985	+	5.54672i	−0.0819544	+	0.182572i
$924$	0.791565	−	3.40833i	0.0260406	−	0.112126i
$925$	−7.12297	+	26.5833i	−0.234202	+	0.874054i
$926$	−27.8102	+	16.0563i	−0.913901	+	0.527641i
$927$	18.1576	+	27.0721i	0.596374	+	0.889163i
$928$	−1.21968	−	1.21968i	−0.0400379	−	0.0400379i
$929$	1.01336	+	3.78193i	0.0332474	+	0.124081i	0.980555	−	0.196244i	$-0.0628745\pi$
$929$	1.01336	+	3.78193i	0.0332474	+	0.124081i	−0.947308	+	0.320325i	$0.896208\pi$
$930$	−0.474226	−	14.1084i	−0.0155505	−	0.462632i
$931$	−0.213629	+	0.213629i	−0.00700139	+	0.00700139i
$932$	−19.2597	−	11.1196i	−0.630871	−	0.364233i
$933$	4.66786	+	15.3395i	0.152819	+	0.502194i
$934$	−15.4872	−	4.14977i	−0.506755	−	0.135785i
$935$	−9.90617			−0.323967
$936$	−6.90579	−	8.32527i	−0.225723	−	0.272120i
$937$	−35.8855			−1.17233			−0.586164	−	0.810193i	$-0.699362\pi$
$937$	−35.8855			−1.17233			−0.586164	+	0.810193i	$0.699362\pi$
$938$	−1.07305	−	0.287524i	−0.0350365	−	0.00938799i
$939$	−2.75934	−	9.06774i	−0.0900477	−	0.295915i
$940$	−19.6930	−	11.3697i	−0.642314	−	0.370840i
$941$	−9.18971	+	9.18971i	−0.299576	+	0.299576i	−0.840848	−	0.541272i	$-0.817943\pi$
$941$	−9.18971	+	9.18971i	−0.299576	+	0.299576i	0.541272	+	0.840848i	$0.317943\pi$
$942$	0.0269780	+	0.802606i	0.000878991	+	0.0261503i
$943$	−0.198811	−	0.741971i	−0.00647416	−	0.0241619i
$944$	−7.45450	−	7.45450i	−0.242623	−	0.242623i
$945$	5.27086	+	13.8935i	0.171461	+	0.451957i
$946$	11.2889	−	6.51767i	0.367035	−	0.211908i
$947$	15.4466	−	57.6474i	0.501946	−	1.87329i	0.0149421	−	0.999888i	$-0.495244\pi$
$947$	15.4466	−	57.6474i	0.501946	−	1.87329i	0.487004	−	0.873400i	$-0.338090\pi$
$948$	1.34861	−	5.80687i	0.0438009	−	0.188598i
$949$	44.7966	−	4.57026i	1.45416	−	0.148357i
$950$			0.960201i			0.0311530i
$951$	−6.31364	−	3.36761i	−0.204734	−	0.109202i
$952$	−0.857349	−	1.48497i	−0.0277868	−	0.0481282i
$953$	1.01543	−	1.75878i	0.0328930	−	0.0569724i	−0.849110	−	0.528216i	$-0.822861\pi$
$953$	1.01543	−	1.75878i	0.0328930	−	0.0569724i	0.882003	+	0.471243i	$0.156195\pi$
$954$	−5.40116	−	15.8202i	−0.174869	−	0.512199i
$955$	6.41127	−	1.71790i	0.207464	−	0.0555898i
$956$	−24.7428	+	6.62982i	−0.800240	+	0.214424i
$957$	−5.12252	+	3.19161i	−0.165588	+	0.103170i
$958$	4.08383	−	7.07340i	0.131942	−	0.228531i
$959$	3.81973	+	6.61596i	0.123345	+	0.213641i
$960$	2.33112	−	4.37042i	0.0752367	−	0.141055i
$961$		−	22.8780i		−	0.737999i
$962$	−11.0997	−	29.1814i	−0.357870	−	0.940847i
$963$	−11.6088	+	23.6445i	−0.374087	+	0.761934i
$964$	−7.42683	+	27.7173i	−0.239202	+	0.892714i
$965$	−24.1880	+	13.9649i	−0.778638	+	0.449547i
$966$	0.479634	+	0.448439i	0.0154320	+	0.0144283i
$967$	2.82218	+	2.82218i	0.0907551	+	0.0907551i	0.751027	−	0.660272i	$-0.229559\pi$
$967$	2.82218	+	2.82218i	0.0907551	+	0.0907551i	−0.660272	+	0.751027i	$0.729559\pi$
$968$	−1.79074	−	6.68315i	−0.0575567	−	0.214805i
$969$	0.896762	−	0.0301429i	0.0288082	−	0.000968329i
$970$	24.4502	−	24.4502i	0.785049	−	0.785049i
$971$	−41.2249	−	23.8012i	−1.32297	−	0.763816i	−0.338768	−	0.940870i	$-0.610010\pi$
$971$	−41.2249	−	23.8012i	−1.32297	−	0.763816i	−0.984201	+	0.177054i	$0.943343\pi$
$972$	12.7106	+	9.02438i	0.407694	+	0.289457i
$973$	11.9609	+	3.20492i	0.383450	+	0.102745i
$974$	−4.61402			−0.147843
$975$	−18.3703	−	7.51533i	−0.588321	−	0.240683i
$976$	−11.8866			−0.380482
$977$	−23.6885	−	6.34730i	−0.757861	−	0.203068i	−0.140859	−	0.990030i	$-0.544986\pi$
$977$	−23.6885	−	6.34730i	−0.757861	−	0.203068i	−0.617002	+	0.786962i	$0.711653\pi$
$978$	29.0671	−	8.84520i	0.929463	−	0.282838i
$979$	−29.2034	−	16.8606i	−0.933344	−	0.538867i
$980$	2.02216	−	2.02216i	0.0645955	−	0.0645955i
$981$	−10.7535	−	2.11945i	−0.343334	−	0.0676687i
$982$	2.65162	+	9.89599i	0.0846167	+	0.315794i
$983$	25.4506	+	25.4506i	0.811750	+	0.811750i	0.984896	−	0.173146i	$-0.0553934\pi$
$983$	25.4506	+	25.4506i	0.811750	+	0.811750i	−0.173146	+	0.984896i	$0.555393\pi$
$984$	−2.39686	+	2.56360i	−0.0764091	+	0.0817245i
$985$	−43.7869	+	25.2804i	−1.39517	+	0.805500i
$986$	−0.765499	+	2.85688i	−0.0243784	+	0.0909816i
$987$	−13.4154	−	3.11565i	−0.427017	−	0.0991723i
$988$	−0.637582	−	0.883207i	−0.0202842	−	0.0280986i
$989$			2.44617i			0.0777836i
$990$	−13.0506	−	11.4047i	−0.414775	−	0.362466i
$991$	−4.92922	−	8.53765i	−0.156582	−	0.271207i	0.777052	−	0.629436i	$-0.216714\pi$
$991$	−4.92922	−	8.53765i	−0.156582	−	0.271207i	−0.933634	+	0.358229i	$0.883381\pi$
$992$	−1.42496	+	2.46810i	−0.0452424	+	0.0783622i
$993$	−11.9496	−	19.1790i	−0.379209	−	0.608628i
$994$	−1.62881	+	0.436438i	−0.0516627	+	0.0138430i
$995$	32.5643	−	8.72557i	1.03236	−	0.276619i
$996$	−14.5057	−	23.2816i	−0.459630	−	0.737705i
$997$	0.706918	−	1.22442i	0.0223883	−	0.0387777i	−0.854614	−	0.519264i	$-0.826206\pi$
$997$	0.706918	−	1.22442i	0.0223883	−	0.0387777i	0.877002	+	0.480486i	$0.159540\pi$
$998$	−13.8170	−	23.9317i	−0.437369	−	0.757545i
$999$	26.3042	+	36.5047i	0.832229	+	1.15496i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	546.2.bu.a.323.4	yes	56
3.2	odd	2		546.2.bu.b.323.13	yes	56
13.6	odd	12		546.2.bu.b.71.13	yes	56
39.32	even	12	inner	546.2.bu.a.71.4	✓	56

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
546.2.bu.a.71.4	✓	56	39.32	even	12	inner
546.2.bu.a.323.4	yes	56	1.1	even	1	trivial
546.2.bu.b.71.13	yes	56	13.6	odd	12
546.2.bu.b.323.13	yes	56	3.2	odd	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	546.bu (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.965926 - 0.258819i) q^{2} +(0.504239 + 1.65703i) q^{3} +(0.866025 + 0.500000i) q^{4} +(-2.02216 + 2.02216i) q^{5} +(-0.0581866 - 1.73107i) q^{6} +(0.258819 + 0.965926i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(-2.49149 + 1.67108i) q^{9} +O(q^{10})\)	\(q+(-0.965926 - 0.258819i) q^{2} +(0.504239 + 1.65703i) q^{3} +(0.866025 + 0.500000i) q^{4} +(-2.02216 + 2.02216i) q^{5} +(-0.0581866 - 1.73107i) q^{6} +(0.258819 + 0.965926i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(-2.49149 + 1.67108i) q^{9} +(2.47663 - 1.42988i) q^{10} +(-0.522859 + 1.95134i) q^{11} +(-0.391831 + 1.68715i) q^{12} +(-2.79511 - 2.27758i) q^{13} -1.00000i q^{14} +(-4.37042 - 2.33112i) q^{15} +(0.500000 + 0.866025i) q^{16} +(0.857349 - 1.48497i) q^{17} +(2.83910 - 0.969291i) q^{18} +(0.291822 - 0.0781935i) q^{19} +(-2.76232 + 0.740161i) q^{20} +(-1.47006 + 0.915928i) q^{21} +(1.01009 - 1.74952i) q^{22} +(0.189549 + 0.328309i) q^{23} +(0.815146 - 1.52825i) q^{24} -3.17825i q^{25} +(2.11039 + 2.92340i) q^{26} +(-4.02532 - 3.28584i) q^{27} +(-0.258819 + 0.965926i) q^{28} +(1.49380 - 0.862444i) q^{29} +(3.61817 + 3.38284i) q^{30} +(-2.01519 - 2.01519i) q^{31} +(-0.258819 - 0.965926i) q^{32} +(-3.49706 + 0.117547i) q^{33} +(-1.21247 + 1.21247i) q^{34} +(-2.47663 - 1.42988i) q^{35} +(-2.99323 + 0.201451i) q^{36} +(-8.36414 - 2.24116i) q^{37} -0.302116 q^{38} +(2.36461 - 5.78002i) q^{39} +2.85976 q^{40} +(-1.95720 - 0.524430i) q^{41} +(1.65703 - 0.504239i) q^{42} +(5.58811 + 3.22629i) q^{43} +(-1.42848 + 1.42848i) q^{44} +(1.65900 - 8.41736i) q^{45} +(-0.0981179 - 0.366181i) q^{46} +(5.62258 + 5.62258i) q^{47} +(-1.18291 + 1.26520i) q^{48} +(-0.866025 + 0.500000i) q^{49} +(-0.822591 + 3.06995i) q^{50} +(2.89295 + 0.671871i) q^{51} +(-1.28184 - 3.37000i) q^{52} -5.57228i q^{53} +(3.03773 + 4.21571i) q^{54} +(-2.88861 - 5.00321i) q^{55} +(0.500000 - 0.866025i) q^{56} +(0.276717 + 0.444129i) q^{57} +(-1.66611 + 0.446434i) q^{58} +(-10.1830 + 2.72854i) q^{59} +(-2.61934 - 4.20402i) q^{60} +(-5.94332 + 10.2941i) q^{61} +(1.42496 + 2.46810i) q^{62} +(-2.25898 - 1.97409i) q^{63} +1.00000i q^{64} +(10.2578 - 1.04652i) q^{65} +(3.40833 + 0.791565i) q^{66} +(0.287524 - 1.07305i) q^{67} +(1.48497 - 0.857349i) q^{68} +(-0.448439 + 0.479634i) q^{69} +(2.02216 + 2.02216i) q^{70} +(-0.436438 - 1.62881i) q^{71} +(2.94338 + 0.580118i) q^{72} +(-8.83094 + 8.83094i) q^{73} +(7.49908 + 4.32960i) q^{74} +(5.26645 - 1.60260i) q^{75} +(0.291822 + 0.0781935i) q^{76} -2.02017 q^{77} +(-3.78002 + 4.97106i) q^{78} -3.44182 q^{79} +(-2.76232 - 0.740161i) q^{80} +(3.41501 - 8.32693i) q^{81} +(1.75478 + 1.01312i) q^{82} +(-11.1986 + 11.1986i) q^{83} +(-1.73107 + 0.0581866i) q^{84} +(1.26915 + 4.73654i) q^{85} +(-4.56267 - 4.56267i) q^{86} +(2.18232 + 2.04039i) q^{87} +(1.74952 - 1.01009i) q^{88} +(-4.32027 + 16.1235i) q^{89} +(-3.78105 + 7.70116i) q^{90} +(1.47655 - 3.28935i) q^{91} +0.379098i q^{92} +(2.32310 - 4.35537i) q^{93} +(-3.97576 - 6.88622i) q^{94} +(-0.431991 + 0.748230i) q^{95} +(1.47006 - 0.915928i) q^{96} +(11.6792 - 3.12942i) q^{97} +(0.965926 - 0.258819i) q^{98} +(-1.95813 - 5.73546i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 56 q - 8 q^{6} + 24 q^{9}+O(q^{10}) \) 56 * q - 8 * q^6 + 24 * q^9	\( 56 q - 8 q^{6} + 24 q^{9} + 24 q^{10} - 8 q^{11} + 24 q^{13} - 4 q^{15} + 28 q^{16} + 4 q^{17} + 8 q^{19} + 4 q^{21} + 8 q^{23} + 8 q^{24} + 4 q^{26} - 24 q^{27} - 16 q^{30} - 8 q^{31} - 32 q^{33} - 24 q^{34} - 24 q^{35} - 12 q^{36} - 8 q^{37} - 60 q^{39} + 28 q^{41} - 8 q^{44} - 40 q^{45} - 20 q^{46} - 64 q^{50} + 8 q^{54} + 8 q^{55} + 28 q^{56} + 40 q^{57} + 4 q^{58} + 8 q^{59} + 4 q^{60} + 8 q^{61} + 32 q^{62} + 24 q^{65} + 32 q^{66} - 56 q^{69} + 112 q^{71} + 16 q^{72} + 8 q^{73} - 48 q^{74} - 40 q^{75} + 8 q^{76} - 8 q^{78} + 16 q^{79} + 12 q^{81} + 4 q^{83} - 4 q^{84} + 32 q^{85} + 16 q^{86} + 144 q^{87} - 88 q^{89} + 8 q^{90} - 8 q^{91} - 76 q^{93} - 8 q^{94} + 48 q^{95} - 4 q^{96} - 64 q^{97} - 40 q^{99}+O(q^{100}) \) 56 * q - 8 * q^6 + 24 * q^9 + 24 * q^10 - 8 * q^11 + 24 * q^13 - 4 * q^15 + 28 * q^16 + 4 * q^17 + 8 * q^19 + 4 * q^21 + 8 * q^23 + 8 * q^24 + 4 * q^26 - 24 * q^27 - 16 * q^30 - 8 * q^31 - 32 * q^33 - 24 * q^34 - 24 * q^35 - 12 * q^36 - 8 * q^37 - 60 * q^39 + 28 * q^41 - 8 * q^44 - 40 * q^45 - 20 * q^46 - 64 * q^50 + 8 * q^54 + 8 * q^55 + 28 * q^56 + 40 * q^57 + 4 * q^58 + 8 * q^59 + 4 * q^60 + 8 * q^61 + 32 * q^62 + 24 * q^65 + 32 * q^66 - 56 * q^69 + 112 * q^71 + 16 * q^72 + 8 * q^73 - 48 * q^74 - 40 * q^75 + 8 * q^76 - 8 * q^78 + 16 * q^79 + 12 * q^81 + 4 * q^83 - 4 * q^84 + 32 * q^85 + 16 * q^86 + 144 * q^87 - 88 * q^89 + 8 * q^90 - 8 * q^91 - 76 * q^93 - 8 * q^94 + 48 * q^95 - 4 * q^96 - 64 * q^97 - 40 * q^99

Introduction

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