LMFDB - Embedded newform 570.2.u.h.481.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [570,2,Mod(61,570)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(570, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([0, 0, 2]))

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

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

chi := DirichletCharacter("570.61");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 570 = 2 \cdot 3 \cdot 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	570.u (of order $9$, 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:	$4.55147291521$
Analytic rank:	$0$
Dimension:	$6$
Coefficient field:	$\Q(\zeta_{18})$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{6} - x^{3} + 1 $ x^6 - x^3 + 1
Coefficient ring:	$\Z[a_1, a_2]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			481.1
Root			$0.939693 + 0.342020i$ of defining polynomial
Character	$\chi$	$=$	570.481
Dual form			570.2.u.h.301.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.766044 - 0.642788i) q^{2} +(-0.939693 - 0.342020i) q^{3} +(0.173648 - 0.984808i) q^{4} +(-0.173648 - 0.984808i) q^{5} +(-0.939693 + 0.342020i) q^{6} +(0.733956 - 1.27125i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(0.766044 + 0.642788i) q^{9} +O(q^{10})$	\(q+(0.766044 - 0.642788i) q^{2} +(-0.939693 - 0.342020i) q^{3} +(0.173648 - 0.984808i) q^{4} +(-0.173648 - 0.984808i) q^{5} +(-0.939693 + 0.342020i) q^{6} +(0.733956 - 1.27125i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(0.766044 + 0.642788i) q^{9} +(-0.766044 - 0.642788i) q^{10} +(-1.67365 - 2.89884i) q^{11} +(-0.500000 + 0.866025i) q^{12} +(2.09240 - 0.761570i) q^{13} +(-0.254900 - 1.44561i) q^{14} +(-0.173648 + 0.984808i) q^{15} +(-0.939693 - 0.342020i) q^{16} +(-2.43969 + 2.04715i) q^{17} +1.00000 q^{18} +(-4.07398 + 1.55007i) q^{19} -1.00000 q^{20} +(-1.12449 + 0.943555i) q^{21} +(-3.14543 - 1.14484i) q^{22} +(0.745100 - 4.22567i) q^{23} +(0.173648 + 0.984808i) q^{24} +(-0.939693 + 0.342020i) q^{25} +(1.11334 - 1.92836i) q^{26} +(-0.500000 - 0.866025i) q^{27} +(-1.12449 - 0.943555i) q^{28} +(-5.08512 - 4.26692i) q^{29} +(0.500000 + 0.866025i) q^{30} +(5.40033 - 9.35365i) q^{31} +(-0.939693 + 0.342020i) q^{32} +(0.581252 + 3.29644i) q^{33} +(-0.553033 + 3.13641i) q^{34} +(-1.37939 - 0.502055i) q^{35} +(0.766044 - 0.642788i) q^{36} -3.02229 q^{37} +(-2.12449 + 3.80612i) q^{38} -2.22668 q^{39} +(-0.766044 + 0.642788i) q^{40} +(2.93242 + 1.06731i) q^{41} +(-0.254900 + 1.44561i) q^{42} +(0.578726 + 3.28212i) q^{43} +(-3.14543 + 1.14484i) q^{44} +(0.500000 - 0.866025i) q^{45} +(-2.14543 - 3.71599i) q^{46} +(-0.592396 - 0.497079i) q^{47} +(0.766044 + 0.642788i) q^{48} +(2.42262 + 4.19610i) q^{49} +(-0.500000 + 0.866025i) q^{50} +(2.99273 - 1.08926i) q^{51} +(-0.386659 - 2.19285i) q^{52} +(-1.30928 + 7.42528i) q^{53} +(-0.939693 - 0.342020i) q^{54} +(-2.56418 + 2.15160i) q^{55} -1.46791 q^{56} +(4.35844 - 0.0632028i) q^{57} -6.63816 q^{58} +(3.37939 - 2.83564i) q^{59} +(0.939693 + 0.342020i) q^{60} +(1.16385 - 6.60051i) q^{61} +(-1.87551 - 10.6366i) q^{62} +(1.37939 - 0.502055i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(-1.11334 - 1.92836i) q^{65} +(2.56418 + 2.15160i) q^{66} +(10.6985 + 8.97708i) q^{67} +(1.59240 + 2.75811i) q^{68} +(-2.14543 + 3.71599i) q^{69} +(-1.37939 + 0.502055i) q^{70} +(-1.47519 - 8.36619i) q^{71} +(0.173648 - 0.984808i) q^{72} +(13.0706 + 4.75730i) q^{73} +(-2.31521 + 1.94269i) q^{74} +1.00000 q^{75} +(0.819078 + 4.28125i) q^{76} -4.91353 q^{77} +(-1.70574 + 1.43128i) q^{78} +(1.49273 + 0.543308i) q^{79} +(-0.173648 + 0.984808i) q^{80} +(0.173648 + 0.984808i) q^{81} +(2.93242 - 1.06731i) q^{82} +(-0.397804 + 0.689016i) q^{83} +(0.733956 + 1.27125i) q^{84} +(2.43969 + 2.04715i) q^{85} +(2.55303 + 2.14225i) q^{86} +(3.31908 + 5.74881i) q^{87} +(-1.67365 + 2.89884i) q^{88} +(10.2442 - 3.72859i) q^{89} +(-0.173648 - 0.984808i) q^{90} +(0.567581 - 3.21891i) q^{91} +(-4.03209 - 1.46756i) q^{92} +(-8.27379 + 6.94253i) q^{93} -0.773318 q^{94} +(2.23396 + 3.74292i) q^{95} +1.00000 q^{96} +(5.36231 - 4.49951i) q^{97} +(4.55303 + 1.65717i) q^{98} +(0.581252 - 3.29644i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 6 q + 9 q^{7} - 3 q^{8}+O(q^{10}) $ 6 * q + 9 * q^7 - 3 * q^8	$ 6 q + 9 q^{7} - 3 q^{8} - 9 q^{11} - 3 q^{12} + 9 q^{13} - 3 q^{14} - 9 q^{17} + 6 q^{18} - 9 q^{19} - 6 q^{20} + 6 q^{21} - 3 q^{22} + 3 q^{23} - 3 q^{27} + 6 q^{28} - 9 q^{29} + 3 q^{30} + 18 q^{31} + 6 q^{33} + 9 q^{34} + 3 q^{35} - 6 q^{37} - 6 q^{41} - 3 q^{42} + 21 q^{43} - 3 q^{44} + 3 q^{45} + 3 q^{46} - 12 q^{49} - 3 q^{50} - 9 q^{52} + 12 q^{53} + 3 q^{55} - 18 q^{56} + 18 q^{57} - 6 q^{58} + 9 q^{59} + 3 q^{61} - 24 q^{62} - 3 q^{63} - 3 q^{64} - 3 q^{66} + 36 q^{67} + 6 q^{68} + 3 q^{69} + 3 q^{70} - 36 q^{71} + 21 q^{73} - 21 q^{74} + 6 q^{75} - 12 q^{76} - 60 q^{77} - 9 q^{79} - 6 q^{82} - 3 q^{83} + 9 q^{84} + 9 q^{85} + 3 q^{86} + 3 q^{87} - 9 q^{88} + 3 q^{89} + 27 q^{91} - 15 q^{92} + 3 q^{93} - 18 q^{94} + 18 q^{95} + 6 q^{96} + 15 q^{98} + 6 q^{99}+O(q^{100}) $ 6 * q + 9 * q^7 - 3 * q^8 - 9 * q^11 - 3 * q^12 + 9 * q^13 - 3 * q^14 - 9 * q^17 + 6 * q^18 - 9 * q^19 - 6 * q^20 + 6 * q^21 - 3 * q^22 + 3 * q^23 - 3 * q^27 + 6 * q^28 - 9 * q^29 + 3 * q^30 + 18 * q^31 + 6 * q^33 + 9 * q^34 + 3 * q^35 - 6 * q^37 - 6 * q^41 - 3 * q^42 + 21 * q^43 - 3 * q^44 + 3 * q^45 + 3 * q^46 - 12 * q^49 - 3 * q^50 - 9 * q^52 + 12 * q^53 + 3 * q^55 - 18 * q^56 + 18 * q^57 - 6 * q^58 + 9 * q^59 + 3 * q^61 - 24 * q^62 - 3 * q^63 - 3 * q^64 - 3 * q^66 + 36 * q^67 + 6 * q^68 + 3 * q^69 + 3 * q^70 - 36 * q^71 + 21 * q^73 - 21 * q^74 + 6 * q^75 - 12 * q^76 - 60 * q^77 - 9 * q^79 - 6 * q^82 - 3 * q^83 + 9 * q^84 + 9 * q^85 + 3 * q^86 + 3 * q^87 - 9 * q^88 + 3 * q^89 + 27 * q^91 - 15 * q^92 + 3 * q^93 - 18 * q^94 + 18 * q^95 + 6 * q^96 + 15 * q^98 + 6 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/570\mathbb{Z}\right)^\times$.

$n$	$191$	$211$	$457$
$\chi(n)$	$1$	$e\left(\frac{7}{9}\right)$	$1$

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 $

$2$	0.766044	−	0.642788i	0.541675	−	0.454519i
$2$	0.766044	−	0.642788i	0.541675	−	0.454519i
$3$	−0.939693	−	0.342020i	−0.542532	−	0.197465i
$3$	−0.939693	−	0.342020i	−0.542532	−	0.197465i
$4$	0.173648	−	0.984808i	0.0868241	−	0.492404i
$5$	−0.173648	−	0.984808i	−0.0776578	−	0.440419i
$5$	−0.173648	−	0.984808i	−0.0776578	−	0.440419i
$6$	−0.939693	+	0.342020i	−0.383628	+	0.139629i
$7$	0.733956	−	1.27125i	0.277409	−	0.480487i	−0.693331	−	0.720619i	$-0.743858\pi$
$7$	0.733956	−	1.27125i	0.277409	−	0.480487i	0.970740	+	0.240133i	$0.0771909\pi$
$8$	−0.500000	−	0.866025i	−0.176777	−	0.306186i
$9$	0.766044	+	0.642788i	0.255348	+	0.214263i
$10$	−0.766044	−	0.642788i	−0.242245	−	0.203267i
$11$	−1.67365	−	2.89884i	−0.504624	−	0.874034i	−0.999986	−	0.00534749i	$-0.998298\pi$
$11$	−1.67365	−	2.89884i	−0.504624	−	0.874034i	0.495362	−	0.868687i	$-0.335036\pi$
$12$	−0.500000	+	0.866025i	−0.144338	+	0.250000i
$13$	2.09240	−	0.761570i	0.580326	−	0.211222i	−0.0351431	−	0.999382i	$-0.511189\pi$
$13$	2.09240	−	0.761570i	0.580326	−	0.211222i	0.615469	+	0.788161i	$0.288966\pi$
$14$	−0.254900	−	1.44561i	−0.0681249	−	0.386356i
$15$	−0.173648	+	0.984808i	−0.0448358	+	0.254276i
$16$	−0.939693	−	0.342020i	−0.234923	−	0.0855050i
$17$	−2.43969	+	2.04715i	−0.591712	+	0.496506i	−0.888770	−	0.458354i	$-0.848439\pi$
$17$	−2.43969	+	2.04715i	−0.591712	+	0.496506i	0.297057	+	0.954860i	$0.403995\pi$
$18$	1.00000			0.235702
$19$	−4.07398	+	1.55007i	−0.934635	+	0.355609i
$19$	−4.07398	+	1.55007i	−0.934635	+	0.355609i
$20$	−1.00000			−0.223607
$21$	−1.12449	+	0.943555i	−0.245383	+	0.205901i
$22$	−3.14543	−	1.14484i	−0.670608	−	0.244081i
$23$	0.745100	−	4.22567i	0.155364	−	0.881113i	−0.803088	−	0.595860i	$-0.796811\pi$
$23$	0.745100	−	4.22567i	0.155364	−	0.881113i	0.958452	−	0.285253i	$-0.0920777\pi$
$24$	0.173648	+	0.984808i	0.0354458	+	0.201023i
$25$	−0.939693	+	0.342020i	−0.187939	+	0.0684040i
$26$	1.11334	−	1.92836i	0.218344	−	0.378183i
$27$	−0.500000	−	0.866025i	−0.0962250	−	0.166667i
$28$	−1.12449	−	0.943555i	−0.212508	−	0.178315i
$29$	−5.08512	−	4.26692i	−0.944284	−	0.792348i	0.0340421	−	0.999420i	$-0.489162\pi$
$29$	−5.08512	−	4.26692i	−0.944284	−	0.792348i	−0.978326	+	0.207072i	$0.933606\pi$
$30$	0.500000	+	0.866025i	0.0912871	+	0.158114i
$31$	5.40033	−	9.35365i	0.969928	−	1.67996i	0.274180	−	0.961678i	$-0.411594\pi$
$31$	5.40033	−	9.35365i	0.969928	−	1.67996i	0.695748	−	0.718286i	$-0.255073\pi$
$32$	−0.939693	+	0.342020i	−0.166116	+	0.0604612i
$33$	0.581252	+	3.29644i	0.101183	+	0.573837i
$34$	−0.553033	+	3.13641i	−0.0948444	+	0.537890i
$35$	−1.37939	−	0.502055i	−0.233159	−	0.0848628i
$36$	0.766044	−	0.642788i	0.127674	−	0.107131i
$37$	−3.02229			−0.496861			−0.248431	−	0.968650i	$-0.579915\pi$
$37$	−3.02229			−0.496861			−0.248431	+	0.968650i	$0.579915\pi$
$38$	−2.12449	+	3.80612i	−0.344637	+	0.617434i
$39$	−2.22668			−0.356554
$40$	−0.766044	+	0.642788i	−0.121122	+	0.101634i
$41$	2.93242	+	1.06731i	0.457967	+	0.166686i	0.560694	−	0.828023i	$-0.310535\pi$
$41$	2.93242	+	1.06731i	0.457967	+	0.166686i	−0.102727	+	0.994710i	$0.532757\pi$
$42$	−0.254900	+	1.44561i	−0.0393319	+	0.223063i
$43$	0.578726	+	3.28212i	0.0882548	+	0.500518i	0.996607	+	0.0823112i	$0.0262302\pi$
$43$	0.578726	+	3.28212i	0.0882548	+	0.500518i	−0.908352	+	0.418207i	$0.862659\pi$
$44$	−3.14543	+	1.14484i	−0.474191	+	0.172592i
$45$	0.500000	−	0.866025i	0.0745356	−	0.129099i
$46$	−2.14543	−	3.71599i	−0.316326	−	0.547893i
$47$	−0.592396	−	0.497079i	−0.0864099	−	0.0725065i	0.598560	−	0.801078i	$-0.295740\pi$
$47$	−0.592396	−	0.497079i	−0.0864099	−	0.0725065i	−0.684969	+	0.728572i	$0.740184\pi$
$48$	0.766044	+	0.642788i	0.110569	+	0.0927784i
$49$	2.42262	+	4.19610i	0.346088	+	0.599443i
$50$	−0.500000	+	0.866025i	−0.0707107	+	0.122474i
$51$	2.99273	−	1.08926i	0.419065	−	0.152527i
$52$	−0.386659	−	2.19285i	−0.0536200	−	0.304094i
$53$	−1.30928	+	7.42528i	−0.179843	+	1.01994i	0.752561	+	0.658523i	$0.228818\pi$
$53$	−1.30928	+	7.42528i	−0.179843	+	1.01994i	−0.932404	+	0.361418i	$0.882293\pi$
$54$	−0.939693	−	0.342020i	−0.127876	−	0.0465430i
$55$	−2.56418	+	2.15160i	−0.345754	+	0.290122i
$56$	−1.46791			−0.196158
$57$	4.35844	−	0.0632028i	0.577290	−	0.00837141i
$58$	−6.63816			−0.871633
$59$	3.37939	−	2.83564i	0.439958	−	0.369169i	−0.395735	−	0.918365i	$-0.629510\pi$
$59$	3.37939	−	2.83564i	0.439958	−	0.369169i	0.835694	+	0.549196i	$0.185066\pi$
$60$	0.939693	+	0.342020i	0.121314	+	0.0441546i
$61$	1.16385	−	6.60051i	0.149015	−	0.845109i	−0.815039	−	0.579406i	$-0.803285\pi$
$61$	1.16385	−	6.60051i	0.149015	−	0.845109i	0.964055	−	0.265703i	$-0.0856041\pi$
$62$	−1.87551	−	10.6366i	−0.238191	−	1.35085i
$63$	1.37939	−	0.502055i	0.173786	−	0.0632530i
$64$	−0.500000	+	0.866025i	−0.0625000	+	0.108253i
$65$	−1.11334	−	1.92836i	−0.138093	−	0.239184i
$66$	2.56418	+	2.15160i	0.315628	+	0.264844i
$67$	10.6985	+	8.97708i	1.30703	+	1.09672i	0.988885	+	0.148681i	$0.0475027\pi$
$67$	10.6985	+	8.97708i	1.30703	+	1.09672i	0.318140	+	0.948044i	$0.396942\pi$
$68$	1.59240	+	2.75811i	0.193106	+	0.334470i
$69$	−2.14543	+	3.71599i	−0.258279	+	0.447353i
$70$	−1.37939	+	0.502055i	−0.164868	+	0.0600071i
$71$	−1.47519	−	8.36619i	−0.175072	−	0.992884i	−0.938060	−	0.346472i	$-0.887380\pi$
$71$	−1.47519	−	8.36619i	−0.175072	−	0.992884i	0.762988	−	0.646412i	$-0.223731\pi$
$72$	0.173648	−	0.984808i	0.0204646	−	0.116061i
$73$	13.0706	+	4.75730i	1.52980	+	0.556800i	0.963571	−	0.267452i	$-0.0861816\pi$
$73$	13.0706	+	4.75730i	1.52980	+	0.556800i	0.566224	+	0.824252i	$0.308404\pi$
$74$	−2.31521	+	1.94269i	−0.269137	+	0.225833i
$75$	1.00000			0.115470
$76$	0.819078	+	4.28125i	0.0939547	+	0.491093i
$77$	−4.91353			−0.559949
$78$	−1.70574	+	1.43128i	−0.193137	+	0.162061i
$79$	1.49273	+	0.543308i	0.167945	+	0.0611269i	0.424624	−	0.905370i	$-0.360406\pi$
$79$	1.49273	+	0.543308i	0.167945	+	0.0611269i	−0.256679	+	0.966497i	$0.582628\pi$
$80$	−0.173648	+	0.984808i	−0.0194145	+	0.110105i
$81$	0.173648	+	0.984808i	0.0192942	+	0.109423i
$82$	2.93242	−	1.06731i	0.323831	−	0.117865i
$83$	−0.397804	+	0.689016i	−0.0436646	+	0.0756293i	−0.887032	−	0.461708i	$-0.847237\pi$
$83$	−0.397804	+	0.689016i	−0.0436646	+	0.0756293i	0.843367	+	0.537338i	$0.180570\pi$
$84$	0.733956	+	1.27125i	0.0800811	+	0.138705i
$85$	2.43969	+	2.04715i	0.264622	+	0.222044i
$86$	2.55303	+	2.14225i	0.275301	+	0.231005i
$87$	3.31908	+	5.74881i	0.355842	+	0.616337i
$88$	−1.67365	+	2.89884i	−0.178411	+	0.309018i
$89$	10.2442	−	3.72859i	1.08589	−	0.395230i	0.263790	−	0.964580i	$-0.415027\pi$
$89$	10.2442	−	3.72859i	1.08589	−	0.395230i	0.822095	+	0.569350i	$0.192805\pi$
$90$	−0.173648	−	0.984808i	−0.0183041	−	0.103808i
$91$	0.567581	−	3.21891i	0.0594987	−	0.337434i
$92$	−4.03209	−	1.46756i	−0.420374	−	0.153004i
$93$	−8.27379	+	6.94253i	−0.857952	+	0.719907i
$94$	−0.773318			−0.0797617
$95$	2.23396	+	3.74292i	0.229199	+	0.384015i
$96$	1.00000			0.102062
$97$	5.36231	−	4.49951i	0.544460	−	0.456856i	−0.328600	−	0.944469i	$-0.606577\pi$
$97$	5.36231	−	4.49951i	0.544460	−	0.456856i	0.873060	+	0.487613i	$0.162132\pi$
$98$	4.55303	+	1.65717i	0.459926	+	0.167399i
$99$	0.581252	−	3.29644i	0.0584180	−	0.331305i
$100$	0.173648	+	0.984808i	0.0173648	+	0.0984808i
$101$	4.65910	−	1.69577i	0.463598	−	0.168736i	−0.0996522	−	0.995022i	$-0.531773\pi$
$101$	4.65910	−	1.69577i	0.463598	−	0.168736i	0.563250	+	0.826287i	$0.309551\pi$
$102$	1.59240	−	2.75811i	0.157671	−	0.273094i
$103$	1.02822	+	1.78093i	0.101313	+	0.175480i	0.912226	−	0.409687i	$-0.134362\pi$
$103$	1.02822	+	1.78093i	0.101313	+	0.175480i	−0.810913	+	0.585167i	$0.801029\pi$
$104$	−1.70574	−	1.43128i	−0.167261	−	0.140349i
$105$	1.12449	+	0.943555i	0.109739	+	0.0920815i
$106$	3.76991	+	6.52968i	0.366166	+	0.634219i
$107$	0.481582	−	0.834124i	0.0465563	−	0.0806378i	−0.841808	−	0.539777i	$-0.818509\pi$
$107$	0.481582	−	0.834124i	0.0465563	−	0.0806378i	0.888364	+	0.459139i	$0.151842\pi$
$108$	−0.939693	+	0.342020i	−0.0904220	+	0.0329109i
$109$	2.07398	+	11.7621i	0.198651	+	1.12661i	0.907123	+	0.420867i	$0.138274\pi$
$109$	2.07398	+	11.7621i	0.198651	+	1.12661i	−0.708471	+	0.705739i	$0.750615\pi$
$110$	−0.581252	+	3.29644i	−0.0554202	+	0.314304i
$111$	2.84002	+	1.03368i	0.269563	+	0.0981129i
$112$	−1.12449	+	0.943555i	−0.106254	+	0.0891576i
$113$	−14.4534			−1.35966			−0.679829	−	0.733371i	$-0.737946\pi$
$113$	−14.4534			−1.35966			−0.679829	+	0.733371i	$0.737946\pi$
$114$	3.29813	−	2.84997i	0.308898	−	0.266924i
$115$	−4.29086			−0.400125
$116$	−5.08512	+	4.26692i	−0.472142	+	0.396174i
$117$	2.09240	+	0.761570i	0.193442	+	0.0704072i
$118$	0.766044	−	4.34445i	0.0705201	−	0.399939i
$119$	0.811804	+	4.60397i	0.0744179	+	0.422045i
$120$	0.939693	−	0.342020i	0.0857818	−	0.0312220i
$121$	−0.102196	+	0.177009i	−0.00929059	+	0.0160918i
$122$	−3.35117	−	5.80439i	−0.303400	−	0.525505i
$123$	−2.39053	−	2.00589i	−0.215547	−	0.180865i
$124$	−8.27379	−	6.94253i	−0.743008	−	0.623458i
$125$	0.500000	+	0.866025i	0.0447214	+	0.0774597i
$126$	0.733956	−	1.27125i	0.0653860	−	0.113252i
$127$	17.7738	−	6.46913i	1.57717	−	0.574042i	0.602583	−	0.798057i	$-0.294138\pi$
$127$	17.7738	−	6.46913i	1.57717	−	0.574042i	0.974586	+	0.224014i	$0.0719162\pi$
$128$	0.173648	+	0.984808i	0.0153485	+	0.0870455i
$129$	0.578726	−	3.28212i	0.0509540	−	0.288974i
$130$	−2.09240	−	0.761570i	−0.183515	−	0.0667941i
$131$	12.4311	−	10.4309i	1.08611	−	0.911353i	0.0896944	−	0.995969i	$-0.471411\pi$
$131$	12.4311	−	10.4309i	1.08611	−	0.911353i	0.996414	+	0.0846165i	$0.0269665\pi$
$132$	3.34730			0.291345
$133$	−1.01960	+	6.31672i	−0.0884106	+	0.547729i
$134$	13.9659			1.20647
$135$	−0.766044	+	0.642788i	−0.0659306	+	0.0553223i
$136$	2.99273	+	1.08926i	0.256624	+	0.0934035i
$137$	−2.17112	+	12.3130i	−0.185491	+	1.05197i	0.739831	+	0.672793i	$0.234906\pi$
$137$	−2.17112	+	12.3130i	−0.185491	+	1.05197i	−0.925322	+	0.379181i	$0.876206\pi$
$138$	0.745100	+	4.22567i	0.0634271	+	0.359713i
$139$	−10.2378	+	3.72626i	−0.868361	+	0.316058i	−0.737503	−	0.675344i	$-0.763995\pi$
$139$	−10.2378	+	3.72626i	−0.868361	+	0.316058i	−0.130858	+	0.991401i	$0.541773\pi$
$140$	−0.733956	+	1.27125i	−0.0620306	+	0.107440i
$141$	0.386659	+	0.669713i	0.0325626	+	0.0564000i
$142$	−6.50774	−	5.46064i	−0.546117	−	0.458247i
$143$	−5.70961	−	4.79093i	−0.477461	−	0.400638i
$144$	−0.500000	−	0.866025i	−0.0416667	−	0.0721688i
$145$	−3.31908	+	5.74881i	−0.275634	+	0.477413i
$146$	13.0706	−	4.75730i	1.08173	−	0.393717i
$147$	−0.841367	−	4.77163i	−0.0693947	−	0.393557i
$148$	−0.524815	+	2.97637i	−0.0431395	+	0.244656i
$149$	4.39053	+	1.59802i	0.359686	+	0.130915i	0.515541	−	0.856865i	$-0.327591\pi$
$149$	4.39053	+	1.59802i	0.359686	+	0.130915i	−0.155855	+	0.987780i	$0.549813\pi$
$150$	0.766044	−	0.642788i	0.0625473	−	0.0524834i
$151$	9.31820			0.758304			0.379152	−	0.925334i	$-0.376216\pi$
$151$	9.31820			0.758304			0.379152	+	0.925334i	$0.376216\pi$
$152$	3.37939	+	2.75314i	0.274104	+	0.223309i
$153$	−3.18479			−0.257475
$154$	−3.76399	+	3.15836i	−0.303311	+	0.254508i
$155$	−10.1493	−	3.69404i	−0.815211	−	0.296713i
$156$	−0.386659	+	2.19285i	−0.0309575	+	0.175569i
$157$	3.82682	+	21.7030i	0.305413	+	1.73209i	0.621553	+	0.783372i	$0.286502\pi$
$157$	3.82682	+	21.7030i	0.305413	+	1.73209i	−0.316139	+	0.948713i	$0.602387\pi$
$158$	1.49273	−	0.543308i	0.118755	−	0.0432233i
$159$	3.76991	−	6.52968i	0.298974	−	0.517838i
$160$	0.500000	+	0.866025i	0.0395285	+	0.0684653i
$161$	−4.82501	−	4.04866i	−0.380264	−	0.319079i
$162$	0.766044	+	0.642788i	0.0601861	+	0.0505022i
$163$	4.28699	+	7.42528i	0.335783	+	0.581593i	0.983635	−	0.180173i	$-0.0576658\pi$
$163$	4.28699	+	7.42528i	0.335783	+	0.581593i	−0.647852	+	0.761766i	$0.724332\pi$
$164$	1.56031	−	2.70253i	0.121840	−	0.211032i
$165$	3.14543	−	1.14484i	0.244871	−	0.0891259i
$166$	0.138156	+	0.783520i	0.0107230	+	0.0608129i
$167$	2.27719	−	12.9146i	0.176214	−	0.999360i	−0.760519	−	0.649316i	$-0.775055\pi$
$167$	2.27719	−	12.9146i	0.176214	−	0.999360i	0.936733	−	0.350044i	$-0.113834\pi$
$168$	1.37939	+	0.502055i	0.106422	+	0.0387344i
$169$	−6.16044	+	5.16923i	−0.473880	+	0.397633i
$170$	3.18479			0.244262
$171$	−4.11721	−	1.43128i	−0.314851	−	0.109453i
$172$	3.33275			0.254120
$173$	−1.67159	+	1.40263i	−0.127089	+	0.106640i	−0.704117	−	0.710084i	$-0.748657\pi$
$173$	−1.67159	+	1.40263i	−0.127089	+	0.106640i	0.577028	+	0.816724i	$0.304212\pi$
$174$	6.23783	+	2.27038i	0.472888	+	0.172117i
$175$	−0.254900	+	1.44561i	−0.0192686	+	0.109278i
$176$	0.581252	+	3.29644i	0.0438135	+	0.248479i
$177$	−4.14543	+	1.50881i	−0.311590	+	0.113409i
$178$	5.45084	−	9.44113i	0.408558	−	0.707642i
$179$	−10.2121	−	17.6879i	−0.763291	−	1.32206i	−0.941146	−	0.338002i	$-0.890249\pi$
$179$	−10.2121	−	17.6879i	−0.763291	−	1.32206i	0.177855	−	0.984057i	$-0.443084\pi$
$180$	−0.766044	−	0.642788i	−0.0570976	−	0.0479106i
$181$	−15.7895	−	13.2490i	−1.17363	−	0.984789i	−0.173625	−	0.984812i	$-0.555548\pi$
$181$	−15.7895	−	13.2490i	−1.17363	−	0.984789i	−1.00000		2.31067e-5i	$0.999993\pi$
$182$	−1.63429	−	2.83067i	−0.121141	−	0.209823i
$183$	−3.35117	+	5.80439i	−0.247725	+	0.429073i
$184$	−4.03209	+	1.46756i	−0.297250	+	0.108190i
$185$	0.524815	+	2.97637i	0.0385852	+	0.218827i
$186$	−1.87551	+	10.6366i	−0.137519	+	0.779911i
$187$	10.0175	+	3.64609i	0.732555	+	0.266628i
$188$	−0.592396	+	0.497079i	−0.0432049	+	0.0362532i
$189$	−1.46791			−0.106775
$190$	4.11721	+	1.43128i	0.298694	+	0.103836i
$191$	−13.9067			−1.00626			−0.503128	−	0.864212i	$-0.667817\pi$
$191$	−13.9067			−1.00626			−0.503128	+	0.864212i	$0.667817\pi$
$192$	0.766044	−	0.642788i	0.0552845	−	0.0463892i
$193$	4.27719	+	1.55677i	0.307879	+	0.112059i	0.491339	−	0.870968i	$-0.336508\pi$
$193$	4.27719	+	1.55677i	0.307879	+	0.112059i	−0.183460	+	0.983027i	$0.558730\pi$
$194$	1.21554	−	6.89365i	0.0872705	−	0.494936i
$195$	0.386659	+	2.19285i	0.0276892	+	0.157033i
$196$	4.55303	−	1.65717i	0.325217	−	0.118369i
$197$	3.84137	−	6.65344i	0.273686	−	0.474038i	−0.696117	−	0.717929i	$-0.745090\pi$
$197$	3.84137	−	6.65344i	0.273686	−	0.474038i	0.969803	+	0.243890i	$0.0784237\pi$
$198$	−1.67365	−	2.89884i	−0.118941	−	0.206012i
$199$	−8.48680	−	7.12127i	−0.601613	−	0.504813i	0.290351	−	0.956920i	$-0.406228\pi$
$199$	−8.48680	−	7.12127i	−0.601613	−	0.504813i	−0.891964	+	0.452107i	$0.850672\pi$
$200$	0.766044	+	0.642788i	0.0541675	+	0.0454519i
$201$	−6.98293	−	12.0948i	−0.492538	−	0.853100i
$202$	2.47906	−	4.29385i	0.174426	−	0.302114i
$203$	−9.15657	+	3.33272i	−0.642666	+	0.233911i
$204$	−0.553033	−	3.13641i	−0.0387201	−	0.219593i
$205$	0.541889	−	3.07321i	0.0378472	−	0.214642i
$206$	1.93242	+	0.703343i	0.134638	+	0.0490042i
$207$	3.28699	−	2.75811i	0.228462	−	0.191702i
$208$	−2.22668			−0.154393
$209$	11.3118	+	9.21556i	0.782454	+	0.637454i
$210$	1.46791			0.101295
$211$	5.96972	−	5.00919i	0.410973	−	0.344847i	−0.413744	−	0.910393i	$-0.635779\pi$
$211$	5.96972	−	5.00919i	0.410973	−	0.344847i	0.824717	+	0.565546i	$0.191335\pi$
$212$	7.08512	+	2.57877i	0.486608	+	0.177111i
$213$	−1.47519	+	8.36619i	−0.101078	+	0.573242i
$214$	−0.167252	−	0.948531i	−0.0114331	−	0.0648402i
$215$	3.13176	−	1.13987i	0.213584	−	0.0777383i
$216$	−0.500000	+	0.866025i	−0.0340207	+	0.0589256i
$217$	−7.92720	−	13.7303i	−0.538134	−	0.932075i
$218$	9.14930	+	7.67717i	0.619669	+	0.519964i
$219$	−10.6552	−	8.94080i	−0.720014	−	0.604163i
$220$	1.67365	+	2.89884i	0.112837	+	0.195440i
$221$	−3.54576	+	6.14144i	−0.238514	+	0.413118i
$222$	2.84002	−	1.03368i	0.190610	−	0.0693763i
$223$	−1.82934	−	10.3747i	−0.122502	−	0.694743i	−0.982760	−	0.184885i	$-0.940809\pi$
$223$	−1.82934	−	10.3747i	−0.122502	−	0.694743i	0.860258	−	0.509859i	$-0.170302\pi$
$224$	−0.254900	+	1.44561i	−0.0170312	+	0.0965889i
$225$	−0.939693	−	0.342020i	−0.0626462	−	0.0228013i
$226$	−11.0719	+	9.29044i	−0.736493	+	0.617991i
$227$	−22.9445			−1.52288			−0.761440	−	0.648236i	$-0.775507\pi$
$227$	−22.9445			−1.52288			−0.761440	+	0.648236i	$0.775507\pi$
$228$	0.694593	−	4.30320i	0.0460005	−	0.284986i
$229$	−6.32770			−0.418146			−0.209073	−	0.977900i	$-0.567045\pi$
$229$	−6.32770			−0.418146			−0.209073	+	0.977900i	$0.567045\pi$
$230$	−3.28699	+	2.75811i	−0.216738	+	0.181864i
$231$	4.61721	+	1.68053i	0.303790	+	0.110571i
$232$	−1.15270	+	6.53731i	−0.0756787	+	0.429195i
$233$	1.84430	+	10.4596i	0.120824	+	0.685229i	0.983701	+	0.179814i	$0.0575495\pi$
$233$	1.84430	+	10.4596i	0.120824	+	0.685229i	−0.862876	+	0.505415i	$0.831339\pi$
$234$	2.09240	−	0.761570i	0.136784	−	0.0497854i
$235$	−0.386659	+	0.669713i	−0.0252229	+	0.0436873i
$236$	−2.20574	−	3.82045i	−0.143581	−	0.248690i
$237$	−1.21688	−	1.02108i	−0.0790449	−	0.0663266i
$238$	3.58125	+	3.00503i	0.232138	+	0.194787i
$239$	6.22416	+	10.7806i	0.402607	+	0.697336i	0.994040	−	0.109018i	$-0.0347707\pi$
$239$	6.22416	+	10.7806i	0.402607	+	0.697336i	−0.591433	+	0.806354i	$0.701437\pi$
$240$	0.500000	−	0.866025i	0.0322749	−	0.0559017i
$241$	11.5239	−	4.19437i	0.742322	−	0.270183i	0.0569508	−	0.998377i	$-0.481862\pi$
$241$	11.5239	−	4.19437i	0.742322	−	0.270183i	0.685371	+	0.728194i	$0.259640\pi$
$242$	0.0354925	+	0.201288i	0.00228154	+	0.0129393i
$243$	0.173648	−	0.984808i	0.0111395	−	0.0631754i
$244$	−6.29813	−	2.29233i	−0.403197	−	0.146752i
$245$	3.71167	−	3.11446i	0.237130	−	0.198975i
$246$	−3.12061			−0.198963
$247$	−7.34389	+	6.34597i	−0.467281	+	0.403784i
$248$	−10.8007			−0.685843
$249$	0.609470	−	0.511406i	0.0386236	−	0.0324091i
$250$	0.939693	+	0.342020i	0.0594314	+	0.0216313i
$251$	2.21941	−	12.5869i	0.140088	−	0.794477i	−0.831093	−	0.556133i	$-0.812284\pi$
$251$	2.21941	−	12.5869i	0.140088	−	0.794477i	0.971181	−	0.238344i	$-0.0766045\pi$
$252$	−0.254900	−	1.44561i	−0.0160572	−	0.0910649i
$253$	−13.4966	+	4.91236i	−0.848524	+	0.308837i
$254$	9.45723	−	16.3804i	0.593400	−	1.02780i
$255$	−1.59240	−	2.75811i	−0.0997197	−	0.172720i
$256$	0.766044	+	0.642788i	0.0478778	+	0.0401742i
$257$	2.87030	+	2.40847i	0.179044	+	0.150236i	0.727905	−	0.685677i	$-0.240494\pi$
$257$	2.87030	+	2.40847i	0.179044	+	0.150236i	−0.548861	+	0.835914i	$0.684938\pi$
$258$	−1.66637	−	2.88624i	−0.103744	−	0.179690i
$259$	−2.21823	+	3.84208i	−0.137834	+	0.238735i
$260$	−2.09240	+	0.761570i	−0.129765	+	0.0472306i
$261$	−1.15270	−	6.53731i	−0.0713506	−	0.404649i
$262$	2.81790	−	15.9811i	0.174090	−	0.987315i
$263$	11.9474	+	4.34851i	0.736710	+	0.268141i	0.683002	−	0.730416i	$-0.260674\pi$
$263$	11.9474	+	4.34851i	0.736710	+	0.268141i	0.0537078	+	0.998557i	$0.482896\pi$
$264$	2.56418	−	2.15160i	0.157814	−	0.132422i
$265$	7.53983			0.463168
$266$	3.27925	+	5.49427i	0.201064	+	0.336875i
$267$	−10.9017			−0.667172
$268$	10.6985	−	8.97708i	0.653513	−	0.548362i
$269$	15.0890	+	5.49194i	0.919992	+	0.334850i	0.758235	−	0.651981i	$-0.226062\pi$
$269$	15.0890	+	5.49194i	0.919992	+	0.334850i	0.161757	+	0.986831i	$0.448284\pi$
$270$	−0.173648	+	0.984808i	−0.0105679	+	0.0599335i
$271$	1.53297	+	8.69388i	0.0931211	+	0.528116i	0.995307	+	0.0967683i	$0.0308506\pi$
$271$	1.53297	+	8.69388i	0.0931211	+	0.528116i	−0.902186	+	0.431347i	$0.858038\pi$
$272$	2.99273	−	1.08926i	0.181461	−	0.0660463i
$273$	−1.63429	+	2.83067i	−0.0989114	+	0.171320i
$274$	6.25150	+	10.8279i	0.377667	+	0.654138i
$275$	2.56418	+	2.15160i	0.154626	+	0.129746i
$276$	3.28699	+	2.75811i	0.197853	+	0.166019i
$277$	1.35978	+	2.35522i	0.0817016	+	0.141511i	0.903981	−	0.427573i	$-0.140631\pi$
$277$	1.35978	+	2.35522i	0.0817016	+	0.141511i	−0.822279	+	0.569084i	$0.807298\pi$
$278$	−5.44743	+	9.43523i	−0.326715	+	0.565888i
$279$	10.1493	−	3.69404i	0.607623	−	0.221157i
$280$	0.254900	+	1.44561i	0.0152332	+	0.0863917i
$281$	−4.50000	+	25.5208i	−0.268447	+	1.52244i	0.490588	+	0.871392i	$0.336782\pi$
$281$	−4.50000	+	25.5208i	−0.268447	+	1.52244i	−0.759035	+	0.651050i	$0.774329\pi$
$282$	0.726682	+	0.264490i	0.0432733	+	0.0157502i
$283$	−18.4140	+	15.4512i	−1.09460	+	0.918477i	−0.997050	−	0.0767534i	$-0.975545\pi$
$283$	−18.4140	+	15.4512i	−1.09460	+	0.918477i	−0.0975486	+	0.995231i	$0.531100\pi$
$284$	−8.49525			−0.504100
$285$	−0.819078	−	4.28125i	−0.0485180	−	0.253599i
$286$	−7.45336			−0.440727
$287$	3.50908	−	2.94447i	0.207135	−	0.173807i
$288$	−0.939693	−	0.342020i	−0.0553719	−	0.0201537i
$289$	−1.19072	+	6.75292i	−0.0700425	+	0.397231i
$290$	1.15270	+	6.53731i	0.0676891	+	0.383884i
$291$	−6.57785	+	2.39414i	−0.385600	+	0.140347i
$292$	6.95471	−	12.0459i	0.406993	−	0.704933i
$293$	−4.22328	−	7.31493i	−0.246727	−	0.427343i	0.715889	−	0.698214i	$-0.246022\pi$
$293$	−4.22328	−	7.31493i	−0.246727	−	0.427343i	−0.962616	+	0.270871i	$0.912688\pi$
$294$	−3.71167	−	3.11446i	−0.216469	−	0.181639i
$295$	−3.37939	−	2.83564i	−0.196755	−	0.165097i
$296$	1.51114	+	2.61738i	0.0878335	+	0.152132i
$297$	−1.67365	+	2.89884i	−0.0971149	+	0.168208i
$298$	4.39053	−	1.59802i	0.254337	−	0.0925709i
$299$	−1.65910	−	9.40923i	−0.0959482	−	0.544150i
$300$	0.173648	−	0.984808i	0.0100256	−	0.0568579i
$301$	4.59714	+	1.67322i	0.264975	+	0.0964430i
$302$	7.13816	−	5.98962i	0.410755	−	0.344664i
$303$	−4.95811			−0.284836
$304$	4.35844	−	0.0632028i	0.249974	−	0.00362493i
$305$	−6.70233			−0.383774
$306$	−2.43969	+	2.04715i	−0.139468	+	0.117028i
$307$	−26.9971	−	9.82613i	−1.54080	−	0.560807i	−0.574566	−	0.818458i	$-0.694829\pi$
$307$	−26.9971	−	9.82613i	−1.54080	−	0.560807i	−0.966238	+	0.257652i	$0.917051\pi$
$308$	−0.853226	+	4.83889i	−0.0486171	+	0.275721i
$309$	−0.357097	−	2.02520i	−0.0203145	−	0.115209i
$310$	−10.1493	+	3.69404i	−0.576442	+	0.209808i
$311$	−4.70826	+	8.15495i	−0.266981	+	0.462425i	−0.968081	−	0.250638i	$-0.919359\pi$
$311$	−4.70826	+	8.15495i	−0.266981	+	0.462425i	0.701100	+	0.713063i	$0.252693\pi$
$312$	1.11334	+	1.92836i	0.0630305	+	0.109172i
$313$	−20.2331	−	16.9776i	−1.14364	−	0.959629i	−0.144089	−	0.989565i	$-0.546025\pi$
$313$	−20.2331	−	16.9776i	−1.14364	−	0.959629i	−0.999552	+	0.0299358i	$0.990470\pi$
$314$	16.8819	+	14.1656i	0.952701	+	0.799411i
$315$	−0.733956	−	1.27125i	−0.0413537	−	0.0716267i
$316$	0.794263	−	1.37570i	0.0446808	−	0.0773894i
$317$	−18.7763	+	6.83402i	−1.05458	+	0.383837i	−0.810390	−	0.585890i	$-0.800745\pi$
$317$	−18.7763	+	6.83402i	−1.05458	+	0.383837i	−0.244192	+	0.969727i	$0.578523\pi$
$318$	−1.30928	−	7.42528i	−0.0734206	−	0.416389i
$319$	−3.85844	+	21.8823i	−0.216031	+	1.22517i
$320$	0.939693	+	0.342020i	0.0525304	+	0.0191195i
$321$	−0.737826	+	0.619109i	−0.0411814	+	0.0345553i
$322$	−6.29860			−0.351007
$323$	6.76604	−	12.1217i	0.376473	−	0.674470i
$324$	1.00000			0.0555556
$325$	−1.70574	+	1.43128i	−0.0946173	+	0.0793933i
$326$	8.05690	+	2.93247i	0.446231	+	0.162415i
$327$	2.07398	−	11.7621i	0.114691	−	0.650446i
$328$	−0.541889	−	3.07321i	−0.0299208	−	0.169689i
$329$	−1.06670	+	0.388249i	−0.0588093	+	0.0214048i
$330$	1.67365	−	2.89884i	0.0921313	−	0.159576i
$331$	−12.3444	−	21.3811i	−0.678507	−	1.17521i	−0.975430	−	0.220308i	$-0.929294\pi$
$331$	−12.3444	−	21.3811i	−0.678507	−	1.17521i	0.296923	−	0.954901i	$-0.404040\pi$
$332$	0.609470	+	0.511406i	0.0334490	+	0.0280671i
$333$	−2.31521	−	1.94269i	−0.126873	−	0.106459i
$334$	−6.55690	−	11.3569i	−0.358778	−	0.621421i
$335$	6.98293	−	12.0948i	0.381518	−	0.660809i
$336$	1.37939	−	0.502055i	0.0752516	−	0.0273894i
$337$	1.65776	+	9.40160i	0.0903037	+	0.512138i	0.996086	+	0.0883937i	$0.0281733\pi$
$337$	1.65776	+	9.40160i	0.0903037	+	0.512138i	−0.905782	+	0.423744i	$0.860716\pi$
$338$	−1.39646	+	7.91971i	−0.0759574	+	0.430776i
$339$	13.5817	+	4.94334i	0.737658	+	0.268485i
$340$	2.43969	−	2.04715i	0.132311	−	0.111022i
$341$	−36.1530			−1.95780
$342$	−4.07398	+	1.55007i	−0.220295	+	0.0838180i
$343$	17.3878			0.938851
$344$	2.55303	−	2.14225i	0.137650	−	0.115502i
$345$	4.03209	+	1.46756i	0.217080	+	0.0790108i
$346$	−0.378918	+	2.14895i	−0.0203708	+	0.115528i
$347$	3.62819	+	20.5765i	0.194772	+	1.10460i	0.912744	+	0.408533i	$0.133959\pi$
$347$	3.62819	+	20.5765i	0.194772	+	1.10460i	−0.717972	+	0.696072i	$0.754929\pi$
$348$	6.23783	−	2.27038i	0.334383	−	0.121705i
$349$	16.1766	−	28.0188i	0.865916	−	1.49981i	−0.000219262	−	1.00000i	$-0.500070\pi$
$349$	16.1766	−	28.0188i	0.865916	−	1.49981i	0.866135	−	0.499810i	$-0.166597\pi$
$350$	0.733956	+	1.27125i	0.0392316	+	0.0679511i
$351$	−1.70574	−	1.43128i	−0.0910455	−	0.0763963i
$352$	2.56418	+	2.15160i	0.136671	+	0.114681i
$353$	10.7023	+	18.5370i	0.569628	+	0.986624i	0.996603	+	0.0823607i	$0.0262459\pi$
$353$	10.7023	+	18.5370i	0.569628	+	0.986624i	−0.426975	+	0.904263i	$0.640421\pi$
$354$	−2.20574	+	3.82045i	−0.117234	+	0.203055i
$355$	−7.98293	+	2.90555i	−0.423690	+	0.154210i
$356$	−1.89306	−	10.7361i	−0.100332	−	0.569010i
$357$	0.811804	−	4.60397i	0.0429652	−	0.243668i
$358$	−19.1925	−	6.98551i	−1.01436	−	0.369196i
$359$	11.9081	−	9.99206i	0.628484	−	0.527361i	−0.271974	−	0.962305i	$-0.587676\pi$
$359$	11.9081	−	9.99206i	0.628484	−	0.527361i	0.900457	+	0.434944i	$0.143232\pi$
$360$	−1.00000			−0.0527046
$361$	14.1946	−	12.6299i	0.747084	−	0.664730i
$362$	−20.6117			−1.08333
$363$	0.156574	−	0.131381i	0.00821801	−	0.00689573i
$364$	−3.07145	−	1.11792i	−0.160988	−	0.0585948i
$365$	2.41534	−	13.6981i	0.126425	−	0.716991i
$366$	1.16385	+	6.60051i	0.0608353	+	0.345014i
$367$	10.0198	−	3.64690i	0.523027	−	0.190366i	−0.0669950	−	0.997753i	$-0.521341\pi$
$367$	10.0198	−	3.64690i	0.523027	−	0.190366i	0.590022	+	0.807387i	$0.299119\pi$
$368$	−2.14543	+	3.71599i	−0.111838	+	0.193710i
$369$	1.56031	+	2.70253i	0.0812264	+	0.140688i
$370$	2.31521	+	1.94269i	0.120362	+	0.100996i
$371$	8.47843	+	7.11424i	0.440178	+	0.369353i
$372$	5.40033	+	9.35365i	0.279994	+	0.484964i
$373$	13.5351	−	23.4434i	0.700820	−	1.21386i	−0.267359	−	0.963597i	$-0.586151\pi$
$373$	13.5351	−	23.4434i	0.700820	−	1.21386i	0.968179	−	0.250259i	$-0.0805157\pi$
$374$	10.0175	−	3.64609i	0.517995	−	0.188535i
$375$	−0.173648	−	0.984808i	−0.00896715	−	0.0508553i
$376$	−0.134285	+	0.761570i	−0.00692524	+	0.0392750i
$377$	−13.8897	−	5.05542i	−0.715353	−	0.260367i
$378$	−1.12449	+	0.943555i	−0.0578373	+	0.0485312i
$379$	−28.3432			−1.45589			−0.727946	−	0.685635i	$-0.759525\pi$
$379$	−28.3432			−1.45589			−0.727946	+	0.685635i	$0.759525\pi$
$380$	4.07398	−	1.55007i	0.208991	−	0.0795167i
$381$	−18.9145			−0.969018
$382$	−10.6532	+	8.93907i	−0.545064	+	0.457363i
$383$	6.39945	+	2.32921i	0.326997	+	0.119017i	0.500302	−	0.865851i	$-0.333222\pi$
$383$	6.39945	+	2.32921i	0.326997	+	0.119017i	−0.173305	+	0.984868i	$0.555445\pi$
$384$	0.173648	−	0.984808i	0.00886145	−	0.0502558i
$385$	0.853226	+	4.83889i	0.0434844	+	0.246612i
$386$	4.27719	−	1.55677i	0.217703	−	0.0792375i
$387$	−1.66637	+	2.88624i	−0.0847066	+	0.146716i
$388$	−3.50000	−	6.06218i	−0.177686	−	0.307760i
$389$	5.19072	+	4.35553i	0.263180	+	0.220834i	0.764823	−	0.644240i	$-0.222826\pi$
$389$	5.19072	+	4.35553i	0.263180	+	0.220834i	−0.501643	+	0.865075i	$0.667271\pi$
$390$	1.70574	+	1.43128i	0.0863734	+	0.0724758i
$391$	6.83275	+	11.8347i	0.345547	+	0.598505i
$392$	2.42262	−	4.19610i	0.122361	−	0.211935i
$393$	−15.2490	+	5.55017i	−0.769209	+	0.279969i
$394$	−1.33409	−	7.56602i	−0.0672106	−	0.381170i
$395$	0.275845	−	1.56439i	0.0138792	−	0.0787131i
$396$	−3.14543	−	1.14484i	−0.158064	−	0.0575305i
$397$	22.2861	−	18.7003i	1.11851	−	0.938540i	0.119980	−	0.992776i	$-0.461717\pi$
$397$	22.2861	−	18.7003i	1.11851	−	0.938540i	0.998528	+	0.0542368i	$0.0172726\pi$
$398$	−11.0787			−0.555326
$399$	3.11856	−	5.58705i	0.156123	−	0.279702i
$400$	1.00000			0.0500000
$401$	−2.77513	+	2.32861i	−0.138583	+	0.116285i	−0.709444	−	0.704762i	$-0.751054\pi$
$401$	−2.77513	+	2.32861i	−0.138583	+	0.116285i	0.570861	+	0.821047i	$0.306610\pi$
$402$	−13.1236	−	4.77660i	−0.654546	−	0.238235i
$403$	4.17617	−	23.6843i	0.208030	−	1.17980i
$404$	−0.860967	−	4.88279i	−0.0428347	−	0.242928i
$405$	0.939693	−	0.342020i	0.0466937	−	0.0169951i
$406$	−4.87211	+	8.43874i	−0.241799	+	0.418808i
$407$	5.05825	+	8.76114i	0.250728	+	0.434274i
$408$	−2.43969	−	2.04715i	−0.120783	−	0.101349i
$409$	−6.72849	−	5.64588i	−0.332703	−	0.279171i	0.461097	−	0.887350i	$-0.347456\pi$
$409$	−6.72849	−	5.64588i	−0.332703	−	0.279171i	−0.793800	+	0.608179i	$0.791900\pi$
$410$	−1.56031	−	2.70253i	−0.0770581	−	0.133469i
$411$	6.25150	−	10.8279i	0.308364	−	0.534101i
$412$	1.93242	−	0.703343i	0.0952034	−	0.0346512i
$413$	−1.12449	−	6.37727i	−0.0553323	−	0.313805i
$414$	0.745100	−	4.22567i	0.0366197	−	0.207680i
$415$	0.747626	+	0.272114i	0.0366995	+	0.0133575i
$416$	−1.70574	+	1.43128i	−0.0836306	+	0.0701744i
$417$	10.8949			0.533524
$418$	14.5890	−	0.211558i	0.713571	−	0.0103477i
$419$	27.5672			1.34674			0.673372	−	0.739304i	$-0.264845\pi$
$419$	27.5672			1.34674			0.673372	+	0.739304i	$0.264845\pi$
$420$	1.12449	−	0.943555i	0.0548693	−	0.0460408i
$421$	−0.634285	−	0.230861i	−0.0309132	−	0.0112515i	0.326517	−	0.945191i	$-0.394125\pi$
$421$	−0.634285	−	0.230861i	−0.0309132	−	0.0112515i	−0.357430	+	0.933940i	$0.616347\pi$
$422$	1.35323	−	7.67453i	0.0658740	−	0.373590i
$423$	−0.134285	−	0.761570i	−0.00652918	−	0.0370288i
$424$	7.08512	−	2.57877i	0.344084	−	0.125236i
$425$	1.59240	−	2.75811i	0.0772426	−	0.133788i
$426$	4.24763	+	7.35710i	0.205798	+	0.356453i
$427$	−7.53667	−	6.32402i	−0.364725	−	0.306041i
$428$	−0.737826	−	0.619109i	−0.0356642	−	0.0299258i
$429$	3.72668	+	6.45480i	0.179926	+	0.311641i
$430$	1.66637	−	2.88624i	0.0803597	−	0.139187i
$431$	0.226682	−	0.0825054i	0.0109189	−	0.00397414i	−0.336555	−	0.941664i	$-0.609262\pi$
$431$	0.226682	−	0.0825054i	0.0109189	−	0.00397414i	0.347474	+	0.937690i	$0.387040\pi$
$432$	0.173648	+	0.984808i	0.00835465	+	0.0473816i
$433$	5.10488	−	28.9512i	0.245325	−	1.39131i	−0.574411	−	0.818567i	$-0.694769\pi$
$433$	5.10488	−	28.9512i	0.245325	−	1.39131i	0.819736	−	0.572741i	$-0.194120\pi$
$434$	−14.8983	−	5.42253i	−0.715140	−	0.260290i
$435$	5.08512	−	4.26692i	0.243813	−	0.204583i
$436$	11.9436			0.571993
$437$	3.51455	+	18.3702i	0.168124	+	0.878768i
$438$	−13.9094			−0.664618
$439$	−20.3384	+	17.0660i	−0.970700	+	0.814514i	−0.982660	−	0.185414i	$-0.940637\pi$
$439$	−20.3384	+	17.0660i	−0.970700	+	0.814514i	0.0119602	+	0.999928i	$0.496193\pi$
$440$	3.14543	+	1.14484i	0.149952	+	0.0545782i
$441$	−0.841367	+	4.77163i	−0.0400651	+	0.227220i
$442$	1.23143	+	6.98378i	0.0585731	+	0.332185i
$443$	−29.6498	+	10.7916i	−1.40870	+	0.512726i	−0.930749	−	0.365659i	$-0.880844\pi$
$443$	−29.6498	+	10.7916i	−1.40870	+	0.512726i	−0.477954	+	0.878385i	$0.658621\pi$
$444$	1.51114	−	2.61738i	0.0717157	−	0.124215i
$445$	−5.45084	−	9.44113i	−0.258394	−	0.447552i
$446$	−8.07011	−	6.77162i	−0.382131	−	0.320646i
$447$	−3.57919	−	3.00330i	−0.169290	−	0.142051i
$448$	0.733956	+	1.27125i	0.0346761	+	0.0600608i
$449$	1.84477	−	3.19524i	0.0870601	−	0.150792i	−0.819207	−	0.573498i	$-0.805586\pi$
$449$	1.84477	−	3.19524i	0.0870601	−	0.150792i	0.906267	+	0.422705i	$0.138919\pi$
$450$	−0.939693	+	0.342020i	−0.0442975	+	0.0161230i
$451$	−1.81386	−	10.2869i	−0.0854115	−	0.484393i
$452$	−2.50980	+	14.2338i	−0.118051	+	0.669501i
$453$	−8.75624	−	3.18701i	−0.411404	−	0.149739i
$454$	−17.5765	+	14.7484i	−0.824906	+	0.692178i
$455$	−3.26857			−0.153233
$456$	−2.23396	−	3.74292i	−0.104615	−	0.175278i
$457$	−7.69728			−0.360064			−0.180032	−	0.983661i	$-0.557620\pi$
$457$	−7.69728			−0.360064			−0.180032	+	0.983661i	$0.557620\pi$
$458$	−4.84730	+	4.06736i	−0.226499	+	0.190055i
$459$	2.99273	+	1.08926i	0.139688	+	0.0508425i
$460$	−0.745100	+	4.22567i	−0.0347405	+	0.197023i
$461$	2.68938	+	15.2522i	0.125257	+	0.710367i	0.981155	+	0.193222i	$0.0618939\pi$
$461$	2.68938	+	15.2522i	0.125257	+	0.710367i	−0.855898	+	0.517144i	$0.826995\pi$
$462$	4.61721	−	1.68053i	0.214812	−	0.0781852i
$463$	−1.17483	+	2.03487i	−0.0545990	+	0.0945682i	−0.892033	−	0.451970i	$-0.850721\pi$
$463$	−1.17483	+	2.03487i	−0.0545990	+	0.0945682i	0.837434	+	0.546538i	$0.184055\pi$
$464$	3.31908	+	5.74881i	0.154084	+	0.266882i
$465$	8.27379	+	6.94253i	0.383688	+	0.321952i
$466$	8.13610	+	6.82700i	0.376897	+	0.316254i
$467$	18.7913	+	32.5475i	0.869559	+	1.50612i	0.862448	+	0.506145i	$0.168930\pi$
$467$	18.7913	+	32.5475i	0.869559	+	1.50612i	0.00711073	+	0.999975i	$0.497737\pi$
$468$	1.11334	−	1.92836i	0.0514642	−	0.0891386i
$469$	19.2643	−	7.01163i	0.889542	−	0.323767i
$470$	0.134285	+	0.761570i	0.00619412	+	0.0351286i
$471$	3.82682	−	21.7030i	0.176330	−	1.00002i
$472$	−4.14543	−	1.50881i	−0.190809	−	0.0694487i
$473$	8.54576	−	7.17074i	0.392934	−	0.329711i
$474$	−1.58853			−0.0729634
$475$	3.29813	−	2.84997i	0.151329	−	0.130765i
$476$	4.67499			0.214278
$477$	−5.77584	+	4.84651i	−0.264458	+	0.221906i
$478$	11.6976	+	4.25757i	0.535035	+	0.194737i
$479$	−2.46404	+	13.9743i	−0.112585	+	0.638501i	0.875333	+	0.483521i	$0.160642\pi$
$479$	−2.46404	+	13.9743i	−0.112585	+	0.638501i	−0.987918	+	0.154980i	$0.950469\pi$
$480$	−0.173648	−	0.984808i	−0.00792592	−	0.0449501i
$481$	−6.32383	+	2.30168i	−0.288342	+	0.104948i
$482$	6.13176	−	10.6205i	0.279294	−	0.483751i
$483$	3.14930	+	5.45475i	0.143298	+	0.248200i
$484$	0.156574	+	0.131381i	0.00711700	+	0.00597187i
$485$	−5.36231	−	4.49951i	−0.243490	−	0.204312i
$486$	−0.500000	−	0.866025i	−0.0226805	−	0.0392837i
$487$	−2.58260	+	4.47319i	−0.117029	+	0.202699i	−0.918589	−	0.395215i	$-0.870670\pi$
$487$	−2.58260	+	4.47319i	−0.117029	+	0.202699i	0.801560	+	0.597914i	$0.204004\pi$
$488$	−6.29813	+	2.29233i	−0.285103	+	0.103769i
$489$	−1.48886	−	8.44372i	−0.0673284	−	0.381838i
$490$	0.841367	−	4.77163i	0.0380091	−	0.215560i
$491$	11.0505	+	4.02206i	0.498702	+	0.181513i	0.579110	−	0.815249i	$-0.303400\pi$
$491$	11.0505	+	4.02206i	0.498702	+	0.181513i	−0.0804079	+	0.996762i	$0.525622\pi$
$492$	−2.39053	+	2.00589i	−0.107773	+	0.0904326i
$493$	21.1411			0.952149
$494$	−1.54664	+	9.58186i	−0.0695865	+	0.431108i
$495$	−3.34730			−0.150450
$496$	−8.27379	+	6.94253i	−0.371504	+	0.311729i
$497$	−11.7182	−	4.26509i	−0.525634	−	0.191315i
$498$	0.138156	−	0.783520i	0.00619091	−	0.0351104i
$499$	5.43629	+	30.8307i	0.243362	+	1.38017i	0.824267	+	0.566202i	$0.191588\pi$
$499$	5.43629	+	30.8307i	0.243362	+	1.38017i	−0.580905	+	0.813971i	$0.697301\pi$
$500$	0.939693	−	0.342020i	0.0420243	−	0.0152956i
$501$	−6.55690	+	11.3569i	−0.292941	+	0.507388i
$502$	−6.39053	−	11.0687i	−0.285223	−	0.494021i
$503$	19.4520	+	16.3222i	0.867323	+	0.727770i	0.963533	−	0.267591i	$-0.0862276\pi$
$503$	19.4520	+	16.3222i	0.867323	+	0.727770i	−0.0962099	+	0.995361i	$0.530672\pi$
$504$	−1.12449	−	0.943555i	−0.0500885	−	0.0420293i
$505$	−2.47906	−	4.29385i	−0.110317	−	0.191074i
$506$	−7.18139	+	12.4385i	−0.319252	+	0.552960i
$507$	7.55690	−	2.75049i	0.335614	−	0.122153i
$508$	−3.28446	−	18.6271i	−0.145724	−	0.826445i
$509$	−6.11112	+	34.6579i	−0.270871	+	1.53618i	0.480910	+	0.876770i	$0.340306\pi$
$509$	−6.11112	+	34.6579i	−0.270871	+	1.53618i	−0.751780	+	0.659413i	$0.770805\pi$
$510$	−2.99273	−	1.08926i	−0.132520	−	0.0482334i
$511$	15.6409	−	13.1243i	0.691914	−	0.580585i
$512$	1.00000			0.0441942
$513$	3.37939	+	2.75314i	0.149204	+	0.121554i
$514$	3.74691			0.165269
$515$	1.57532	−	1.32185i	0.0694170	−	0.0582478i
$516$	−3.13176	−	1.13987i	−0.137868	−	0.0501799i
$517$	−0.449493	+	2.54920i	−0.0197687	+	0.112114i
$518$	0.770382	+	4.36905i	0.0338486	+	0.191965i
$519$	2.05051	−	0.746324i	0.0900073	−	0.0327600i
$520$	−1.11334	+	1.92836i	−0.0488232	+	0.0845643i
$521$	5.37164	+	9.30396i	0.235336	+	0.407614i	0.959370	−	0.282150i	$-0.0910476\pi$
$521$	5.37164	+	9.30396i	0.235336	+	0.407614i	−0.724034	+	0.689764i	$0.757714\pi$
$522$	−5.08512	−	4.26692i	−0.222570	−	0.186758i
$523$	20.8066	+	17.4588i	0.909809	+	0.763420i	0.972083	−	0.234639i	$-0.0753908\pi$
$523$	20.8066	+	17.4588i	0.909809	+	0.763420i	−0.0622739	+	0.998059i	$0.519835\pi$
$524$	−8.11381	−	14.0535i	−0.354453	−	0.613931i
$525$	0.733956	−	1.27125i	0.0320324	−	0.0554818i
$526$	11.9474	−	4.34851i	0.520933	−	0.189604i
$527$	5.97313	+	33.8753i	0.260193	+	1.47563i
$528$	0.581252	−	3.29644i	0.0252957	−	0.143459i
$529$	4.31180	+	1.56937i	0.187470	+	0.0682334i
$530$	5.77584	−	4.84651i	0.250887	−	0.210519i
$531$	4.41147			0.191442
$532$	6.04370	+	2.10100i	0.262028	+	0.0910898i
$533$	6.94862			0.300978
$534$	−8.35117	+	7.00746i	−0.361390	+	0.303242i
$535$	−0.905078	−	0.329421i	−0.0391299	−	0.0142421i
$536$	2.42514	−	13.7537i	0.104750	−	0.594068i
$537$	3.54664	+	20.1140i	0.153049	+	0.867982i
$538$	15.0890	−	5.49194i	0.650533	−	0.236775i
$539$	8.10922	−	14.0456i	0.349289	−	0.604986i
$540$	0.500000	+	0.866025i	0.0215166	+	0.0372678i
$541$	−9.69846	−	8.13798i	−0.416969	−	0.349879i	0.410039	−	0.912068i	$-0.365515\pi$
$541$	−9.69846	−	8.13798i	−0.416969	−	0.349879i	−0.827009	+	0.562189i	$0.809959\pi$
$542$	6.76264	+	5.67453i	0.290480	+	0.243742i
$543$	10.3059	+	17.8503i	0.442267	+	0.766030i
$544$	1.59240	−	2.75811i	0.0682734	−	0.118253i
$545$	11.2233	−	4.08494i	0.480752	−	0.174980i
$546$	0.567581	+	3.21891i	0.0242902	+	0.137757i
$547$	2.96657	−	16.8242i	0.126841	−	0.719352i	−0.853356	−	0.521329i	$-0.825437\pi$
$547$	2.96657	−	16.8242i	0.126841	−	0.719352i	0.980197	−	0.198024i	$-0.0634523\pi$
$548$	11.7490	+	4.27628i	0.501891	+	0.182673i
$549$	5.13429	−	4.30818i	0.219126	−	0.183869i
$550$	3.34730			0.142729
$551$	27.3307	+	9.50108i	1.16433	+	0.404760i
$552$	4.29086			0.182631
$553$	1.78627	−	1.49886i	0.0759601	−	0.0637381i
$554$	2.55556	+	0.930148i	0.108575	+	0.0395182i
$555$	0.524815	−	2.97637i	0.0222772	−	0.126340i
$556$	1.89187	+	10.7293i	0.0802333	+	0.455026i
$557$	−16.9611	+	6.17334i	−0.718665	+	0.261573i	−0.675359	−	0.737489i	$-0.736011\pi$
$557$	−16.9611	+	6.17334i	−0.718665	+	0.261573i	−0.0433061	+	0.999062i	$0.513789\pi$
$558$	5.40033	−	9.35365i	0.228614	−	0.395971i
$559$	3.71048	+	6.42675i	0.156937	+	0.271822i
$560$	1.12449	+	0.943555i	0.0475182	+	0.0398725i
$561$	−8.16637	−	6.85240i	−0.344785	−	0.289309i
$562$	12.9572	+	22.4426i	0.546568	+	0.946683i
$563$	18.9718	−	32.8601i	0.799565	−	1.38489i	−0.120334	−	0.992733i	$-0.538397\pi$
$563$	18.9718	−	32.8601i	0.799565	−	1.38489i	0.919899	−	0.392154i	$-0.128270\pi$
$564$	0.726682	−	0.264490i	0.0305988	−	0.0111371i
$565$	2.50980	+	14.2338i	0.105588	+	0.598820i
$566$	−4.17412	+	23.6726i	−0.175451	+	0.995033i
$567$	1.37939	+	0.502055i	0.0579287	+	0.0210843i
$568$	−6.50774	+	5.46064i	−0.273059	+	0.229123i
$569$	11.5253			0.483165			0.241582	−	0.970380i	$-0.422334\pi$
$569$	11.5253			0.483165			0.241582	+	0.970380i	$0.422334\pi$
$570$	−3.37939	−	2.75314i	−0.141547	−	0.115316i
$571$	−23.9932			−1.00408			−0.502042	−	0.864843i	$-0.667418\pi$
$571$	−23.9932			−1.00408			−0.502042	+	0.864843i	$0.667418\pi$
$572$	−5.70961	+	4.79093i	−0.238731	+	0.200319i
$573$	13.0680	+	4.75638i	0.545926	+	0.198701i
$574$	0.795445	−	4.51119i	0.0332012	−	0.188294i
$575$	0.745100	+	4.22567i	0.0310728	+	0.176223i
$576$	−0.939693	+	0.342020i	−0.0391539	+	0.0142508i
$577$	−4.19119	+	7.25935i	−0.174481	+	0.302211i	−0.939982	−	0.341225i	$-0.889158\pi$
$577$	−4.19119	+	7.25935i	−0.174481	+	0.302211i	0.765500	+	0.643436i	$0.222492\pi$
$578$	3.42855	+	5.93842i	0.142609	+	0.247006i
$579$	−3.48680	−	2.92577i	−0.144906	−	0.121591i
$580$	5.08512	+	4.26692i	0.211148	+	0.177174i
$581$	0.583940	+	1.01141i	0.0242259	+	0.0419605i
$582$	−3.50000	+	6.06218i	−0.145080	+	0.251285i
$583$	23.7160	−	8.63192i	0.982217	−	0.357498i
$584$	−2.41534	−	13.6981i	−0.0999477	−	0.566831i
$585$	0.386659	−	2.19285i	0.0159864	−	0.0906633i
$586$	−7.93717	−	2.88889i	−0.327881	−	0.119339i
$587$	11.2337	−	9.42620i	0.463665	−	0.389061i	−0.380813	−	0.924652i	$-0.624356\pi$
$587$	11.2337	−	9.42620i	0.463665	−	0.389061i	0.844477	+	0.535591i	$0.179911\pi$
$588$	−4.84524			−0.199814
$589$	−7.50206	+	46.4774i	−0.309117	+	1.91507i
$590$	−4.41147			−0.181618
$591$	−5.88532	+	4.93837i	−0.242090	+	0.203137i
$592$	2.84002	+	1.03368i	0.116724	+	0.0424841i
$593$	6.76563	−	38.3698i	0.277831	−	1.57566i	−0.451991	−	0.892023i	$-0.649286\pi$
$593$	6.76563	−	38.3698i	0.277831	−	1.57566i	0.729822	−	0.683637i	$-0.239603\pi$
$594$	0.581252	+	3.29644i	0.0238491	+	0.135255i
$595$	4.39306	−	1.59894i	0.180098	−	0.0655502i
$596$	2.33615	−	4.04633i	0.0956925	−	0.165744i
$597$	5.53936	+	9.59446i	0.226711	+	0.392675i
$598$	−7.31908	−	6.14144i	−0.299299	−	0.251142i
$599$	−21.7781	−	18.2740i	−0.889830	−	0.746656i	0.0783461	−	0.996926i	$-0.475036\pi$
$599$	−21.7781	−	18.2740i	−0.889830	−	0.746656i	−0.968176	+	0.250270i	$0.919481\pi$
$600$	−0.500000	−	0.866025i	−0.0204124	−	0.0353553i
$601$	20.0501	−	34.7278i	0.817861	−	1.41658i	−0.0893951	−	0.995996i	$-0.528493\pi$
$601$	20.0501	−	34.7278i	0.817861	−	1.41658i	0.907256	−	0.420580i	$-0.138173\pi$
$602$	4.59714	−	1.67322i	0.187366	−	0.0681955i
$603$	2.42514	+	13.7537i	0.0987595	+	0.560093i
$604$	1.61809	−	9.17664i	0.0658391	−	0.373392i
$605$	0.192066	+	0.0699065i	0.00780861	+	0.00284210i
$606$	−3.79813	+	3.18701i	−0.154289	+	0.129464i
$607$	−20.0182			−0.812512			−0.406256	−	0.913759i	$-0.633166\pi$
$607$	−20.0182			−0.812512			−0.406256	+	0.913759i	$0.633166\pi$
$608$	3.29813	−	2.84997i	0.133757	−	0.115581i
$609$	9.74422			0.394856
$610$	−5.13429	+	4.30818i	−0.207881	+	0.174433i
$611$	−1.61809	−	0.588936i	−0.0654609	−	0.0238258i
$612$	−0.553033	+	3.13641i	−0.0223551	+	0.126782i
$613$	1.21466	+	6.88868i	0.0490597	+	0.278231i	0.999462	−	0.0327913i	$-0.0104397\pi$
$613$	1.21466	+	6.88868i	0.0490597	+	0.278231i	−0.950403	+	0.311022i	$0.899329\pi$
$614$	−26.9971	+	9.82613i	−1.08951	+	0.396550i
$615$	−1.56031	+	2.70253i	−0.0629177	+	0.108977i
$616$	2.45677	+	4.25524i	0.0989860	+	0.171449i
$617$	27.2704	+	22.8826i	1.09786	+	0.921217i	0.997280	−	0.0737110i	$-0.0234843\pi$
$617$	27.2704	+	22.8826i	1.09786	+	0.921217i	0.100585	+	0.994929i	$0.467929\pi$
$618$	−1.57532	−	1.32185i	−0.0633687	−	0.0531727i
$619$	−8.40167	−	14.5521i	−0.337692	−	0.584899i	0.646306	−	0.763078i	$-0.276313\pi$
$619$	−8.40167	−	14.5521i	−0.337692	−	0.584899i	−0.983998	+	0.178179i	$0.942979\pi$
$620$	−5.40033	+	9.35365i	−0.216882	+	0.375651i
$621$	−4.03209	+	1.46756i	−0.161802	+	0.0588912i
$622$	1.63516	+	9.27347i	0.0655641	+	0.371832i
$623$	2.77884	−	15.7596i	0.111332	−	0.631394i
$624$	2.09240	+	0.761570i	0.0837629	+	0.0304872i
$625$	0.766044	−	0.642788i	0.0306418	−	0.0257115i
$626$	−26.4124			−1.05565
$627$	−7.47771	−	12.5287i	−0.298631	−	0.500346i
$628$	22.0378			0.879403
$629$	7.37346	−	6.18706i	0.293999	−	0.246694i
$630$	−1.37939	−	0.502055i	−0.0549560	−	0.0200024i
$631$	−7.57516	+	42.9609i	−0.301562	+	1.71025i	0.337698	+	0.941255i	$0.390352\pi$
$631$	−7.57516	+	42.9609i	−0.301562	+	1.71025i	−0.639260	+	0.768991i	$0.720759\pi$
$632$	−0.275845	−	1.56439i	−0.0109725	−	0.0622282i
$633$	−7.32295	+	2.66534i	−0.291061	+	0.105938i
$634$	−9.99067	+	17.3043i	−0.396780	+	0.687243i
$635$	−9.45723	−	16.3804i	−0.375299	−	0.650037i
$636$	−5.77584	−	4.84651i	−0.229027	−	0.192177i
$637$	8.26470	+	6.93491i	0.327459	+	0.274771i
$638$	11.1099	+	19.2430i	0.439847	+	0.761837i
$639$	4.24763	−	7.35710i	0.168033	−	0.291043i
$640$	0.939693	−	0.342020i	0.0371446	−	0.0135195i
$641$	5.50387	+	31.2140i	0.217390	+	1.23288i	0.876711	+	0.481017i	$0.159733\pi$
$641$	5.50387	+	31.2140i	0.217390	+	1.23288i	−0.659321	+	0.751861i	$0.729156\pi$
$642$	−0.167252	+	0.948531i	−0.00660089	+	0.0374355i
$643$	20.1677	+	7.34045i	0.795337	+	0.289479i	0.707553	−	0.706660i	$-0.249799\pi$
$643$	20.1677	+	7.34045i	0.795337	+	0.289479i	0.0877843	+	0.996140i	$0.472021\pi$
$644$	−4.82501	+	4.04866i	−0.190132	+	0.159540i
$645$	−3.33275			−0.131227
$646$	−2.60859	−	13.6349i	−0.102634	−	0.536458i
$647$	30.0137			1.17996			0.589981	−	0.807417i	$-0.299135\pi$
$647$	30.0137			1.17996			0.589981	+	0.807417i	$0.299135\pi$
$648$	0.766044	−	0.642788i	0.0300931	−	0.0252511i
$649$	−13.8760	−	5.05044i	−0.544680	−	0.198247i
$650$	−0.386659	+	2.19285i	−0.0151660	+	0.0860108i
$651$	2.75309	+	15.6135i	0.107902	+	0.611943i
$652$	8.05690	−	2.93247i	0.315533	−	0.114845i
$653$	0.786112	−	1.36159i	0.0307629	−	0.0532829i	−0.850234	−	0.526405i	$-0.823540\pi$
$653$	0.786112	−	1.36159i	0.0307629	−	0.0532829i	0.880997	+	0.473122i	$0.156873\pi$
$654$	−5.97178	−	10.3434i	−0.233515	−	0.404460i
$655$	−12.4311	−	10.4309i	−0.485722	−	0.407569i
$656$	−2.39053	−	2.00589i	−0.0933345	−	0.0783169i
$657$	6.95471	+	12.0459i	0.271329	+	0.469956i
$658$	−0.567581	+	0.983080i	−0.0221266	+	0.0383244i
$659$	−35.7276	+	13.0038i	−1.39175	+	0.506556i	−0.925719	−	0.378212i	$-0.876539\pi$
$659$	−35.7276	+	13.0038i	−1.39175	+	0.506556i	−0.466031	+	0.884768i	$0.654317\pi$
$660$	−0.581252	−	3.29644i	−0.0226252	−	0.128314i
$661$	−3.91828	+	22.2217i	−0.152403	+	0.864323i	0.808718	+	0.588197i	$0.200162\pi$
$661$	−3.91828	+	22.2217i	−0.152403	+	0.864323i	−0.961121	+	0.276126i	$0.910949\pi$
$662$	−23.1998	−	8.44404i	−0.901686	−	0.328187i
$663$	5.43242	−	4.55834i	0.210978	−	0.177031i
$664$	0.795607			0.0308755
$665$	6.39780	−	0.0927760i	0.248096	−	0.00359770i
$666$	−3.02229			−0.117111
$667$	−21.8195	+	18.3088i	−0.844856	+	0.708918i
$668$	−12.3229	−	4.48519i	−0.476789	−	0.173537i
$669$	−1.82934	+	10.3747i	−0.0707266	+	0.401110i
$670$	−2.42514	−	13.7537i	−0.0936915	−	0.531351i
$671$	−21.0817	+	7.67312i	−0.813851	+	0.296217i
$672$	0.733956	−	1.27125i	0.0283130	−	0.0490395i
$673$	−2.88800	−	5.00217i	−0.111324	−	0.192819i	0.804980	−	0.593302i	$-0.202176\pi$
$673$	−2.88800	−	5.00217i	−0.111324	−	0.192819i	−0.916304	+	0.400482i	$0.868843\pi$
$674$	7.31315	+	6.13646i	0.281692	+	0.236368i
$675$	0.766044	+	0.642788i	0.0294851	+	0.0247409i
$676$	4.02094	+	6.96448i	0.154652	+	0.267865i
$677$	24.4167	−	42.2909i	0.938410	−	1.62537i	0.169971	−	0.985449i	$-0.445632\pi$
$677$	24.4167	−	42.2909i	0.938410	−	1.62537i	0.768438	−	0.639924i	$-0.221034\pi$
$678$	13.5817	−	4.94334i	0.521603	−	0.189848i
$679$	−1.78430	−	10.1193i	−0.0684752	−	0.388342i
$680$	0.553033	−	3.13641i	0.0212079	−	0.120276i
$681$	21.5608	+	7.84748i	0.826211	+	0.300716i
$682$	−27.6948	+	23.2387i	−1.06049	+	0.889856i
$683$	−0.315836			−0.0120851			−0.00604257	−	0.999982i	$-0.501923\pi$
$683$	−0.315836			−0.0120851			−0.00604257	+	0.999982i	$0.501923\pi$
$684$	−2.12449	+	3.80612i	−0.0812317	+	0.145531i
$685$	12.5030			0.477715
$686$	13.3198	−	11.1766i	0.508552	−	0.426726i
$687$	5.94609	+	2.16420i	0.226857	+	0.0825694i
$688$	0.578726	−	3.28212i	0.0220637	−	0.125130i
$689$	2.91534	+	16.5337i	0.111066	+	0.629885i
$690$	4.03209	−	1.46756i	0.153499	−	0.0558691i
$691$	−8.34183	+	14.4485i	−0.317338	+	0.549646i	−0.979932	−	0.199333i	$-0.936122\pi$
$691$	−8.34183	+	14.4485i	−0.317338	+	0.549646i	0.662593	+	0.748979i	$0.269456\pi$
$692$	1.09105	+	1.88976i	0.0414756	+	0.0718378i
$693$	−3.76399	−	3.15836i	−0.142982	−	0.119976i
$694$	16.0057	+	13.4304i	0.607567	+	0.509810i
$695$	5.44743	+	9.43523i	0.206633	+	0.357899i
$696$	3.31908	−	5.74881i	0.125809	−	0.217908i
$697$	−9.33915	+	3.39917i	−0.353745	+	0.128753i
$698$	−5.61809	−	31.8618i	−0.212648	−	1.20599i
$699$	1.84430	−	10.4596i	0.0697580	−	0.395617i
$700$	1.37939	+	0.502055i	0.0521359	+	0.0189759i
$701$	0.265329	−	0.222638i	0.0100213	−	0.00840891i	−0.637763	−	0.770233i	$-0.720140\pi$
$701$	0.265329	−	0.222638i	0.0100213	−	0.00840891i	0.647785	+	0.761824i	$0.275696\pi$
$702$	−2.22668			−0.0840407
$703$	12.3127	−	4.68475i	0.464384	−	0.176689i
$704$	3.34730			0.126156
$705$	0.592396	−	0.497079i	0.0223109	−	0.0187211i
$706$	20.1138	+	7.32083i	0.756993	+	0.275523i
$707$	1.26382	−	7.16750i	0.0475310	−	0.269561i
$708$	0.766044	+	4.34445i	0.0287897	+	0.163275i
$709$	1.95842	−	0.712805i	0.0735498	−	0.0267700i	−0.304983	−	0.952358i	$-0.598651\pi$
$709$	1.95842	−	0.712805i	0.0735498	−	0.0267700i	0.378533	+	0.925588i	$0.376429\pi$
$710$	−4.24763	+	7.35710i	−0.159411	+	0.276107i
$711$	0.794263	+	1.37570i	0.0297872	+	0.0515929i
$712$	−8.35117	−	7.00746i	−0.312973	−	0.262616i
$713$	−35.5016	−	29.7894i	−1.32955	−	1.11562i
$714$	−2.33750	−	4.04866i	−0.0874786	−	0.151517i
$715$	−3.72668	+	6.45480i	−0.139370	+	0.241396i
$716$	−19.1925	+	6.98551i	−0.717259	+	0.261061i
$717$	−2.16163	−	12.2592i	−0.0807274	−	0.457828i
$718$	2.69934	−	15.3087i	0.100738	−	0.571316i
$719$	−9.00134	−	3.27622i	−0.335693	−	0.122182i	0.168673	−	0.985672i	$-0.446052\pi$
$719$	−9.00134	−	3.27622i	−0.335693	−	0.122182i	−0.504367	+	0.863490i	$0.668274\pi$
$720$	−0.766044	+	0.642788i	−0.0285488	+	0.0239553i
$721$	3.01867			0.112421
$722$	2.75537	−	18.7991i	0.102544	−	0.699632i
$723$	−12.2635			−0.456085
$724$	−15.7895	+	13.2490i	−0.586813	+	0.492394i
$725$	6.23783	+	2.27038i	0.231667	+	0.0843199i
$726$	0.0354925	−	0.201288i	0.00131725	−	0.00747049i
$727$	−2.20146	−	12.4851i	−0.0816475	−	0.463046i	−0.998030	−	0.0627417i	$-0.980016\pi$
$727$	−2.20146	−	12.4851i	−0.0816475	−	0.463046i	0.916382	−	0.400304i	$-0.131096\pi$
$728$	−3.07145	+	1.11792i	−0.113836	+	0.0414328i
$729$	−0.500000	+	0.866025i	−0.0185185	+	0.0320750i
$730$	−6.95471	−	12.0459i	−0.257405	−	0.445839i
$731$	−8.13088	−	6.82262i	−0.300732	−	0.252344i
$732$	5.13429	+	4.30818i	0.189769	+	0.159235i
$733$	−1.77672	−	3.07737i	−0.0656247	−	0.113665i	0.831346	−	0.555755i	$-0.187571\pi$
$733$	−1.77672	−	3.07737i	−0.0656247	−	0.113665i	−0.896971	+	0.442090i	$0.854237\pi$
$734$	5.33140	−	9.23426i	0.196786	−	0.340843i
$735$	−4.55303	+	1.65717i	−0.167941	+	0.0611256i
$736$	0.745100	+	4.22567i	0.0274647	+	0.155760i
$737$	8.11768	−	46.0376i	0.299019	−	1.69582i
$738$	2.93242	+	1.06731i	0.107944	+	0.0392883i
$739$	−39.6823	+	33.2974i	−1.45974	+	1.22487i	−0.534671	+	0.845060i	$0.679565\pi$
$739$	−39.6823	+	33.2974i	−1.45974	+	1.22487i	−0.925066	+	0.379805i	$0.875991\pi$
$740$	3.02229			0.111102
$741$	9.07145	−	3.45150i	0.333248	−	0.126794i
$742$	11.0678			0.406312
$743$	29.0822	−	24.4029i	1.06692	−	0.895254i	0.0721519	−	0.997394i	$-0.477013\pi$
$743$	29.0822	−	24.4029i	1.06692	−	0.895254i	0.994770	+	0.102140i	$0.0325689\pi$
$744$	10.1493	+	3.69404i	0.372091	+	0.135430i
$745$	0.811337	−	4.60132i	0.0297251	−	0.168579i
$746$	−4.70068	−	26.6589i	−0.172104	−	0.976052i
$747$	−0.747626	+	0.272114i	−0.0273542	+	0.00995612i
$748$	5.33022	−	9.23222i	0.194892	−	0.337563i
$749$	−0.706919	−	1.22442i	−0.0258303	−	0.0447393i
$750$	−0.766044	−	0.642788i	−0.0279720	−	0.0234713i
$751$	24.3214	+	20.4080i	0.887499	+	0.744700i	0.967707	−	0.252078i	$-0.0811140\pi$
$751$	24.3214	+	20.4080i	0.887499	+	0.744700i	−0.0802080	+	0.996778i	$0.525558\pi$
$752$	0.386659	+	0.669713i	0.0141000	+	0.0244219i
$753$	−6.39053	+	11.0687i	−0.232884	+	0.403367i
$754$	−13.8897	+	5.05542i	−0.505831	+	0.184108i
$755$	−1.61809	−	9.17664i	−0.0588883	−	0.333972i
$756$	−0.254900	+	1.44561i	−0.00927063	+	0.0525763i
$757$	−5.02007	−	1.82716i	−0.182457	−	0.0664091i	0.249176	−	0.968458i	$-0.419840\pi$
$757$	−5.02007	−	1.82716i	−0.182457	−	0.0664091i	−0.431633	+	0.902049i	$0.642063\pi$
$758$	−21.7121	+	18.2186i	−0.788620	+	0.661731i
$759$	14.3628			0.521336
$760$	2.12449	−	3.80612i	0.0770632	−	0.138063i
$761$	−15.7948			−0.572561			−0.286280	−	0.958146i	$-0.592419\pi$
$761$	−15.7948			−0.572561			−0.286280	+	0.958146i	$0.592419\pi$
$762$	−14.4893	+	12.1580i	−0.524893	+	0.440437i
$763$	16.4748	+	5.99633i	0.596427	+	0.217082i
$764$	−2.41488	+	13.6955i	−0.0873672	+	0.495484i
$765$	0.553033	+	3.13641i	0.0199950	+	0.113397i
$766$	6.39945	−	2.32921i	0.231222	−	0.0841578i
$767$	4.91147	−	8.50692i	0.177343	−	0.307167i
$768$	−0.500000	−	0.866025i	−0.0180422	−	0.0312500i
$769$	−17.9138	−	15.0314i	−0.645986	−	0.542047i	0.259864	−	0.965645i	$-0.416322\pi$
$769$	−17.9138	−	15.0314i	−0.645986	−	0.542047i	−0.905850	+	0.423598i	$0.860767\pi$
$770$	3.76399	+	3.15836i	0.135645	+	0.113819i
$771$	−1.87346	−	3.24492i	−0.0674709	−	0.116863i
$772$	2.27584	−	3.94188i	0.0819094	−	0.141871i
$773$	22.5236	−	8.19793i	0.810119	−	0.294859i	0.0964459	−	0.995338i	$-0.469253\pi$
$773$	22.5236	−	8.19793i	0.810119	−	0.294859i	0.713673	+	0.700479i	$0.247030\pi$
$774$	0.578726	+	3.28212i	0.0208019	+	0.117973i
$775$	−1.87551	+	10.6366i	−0.0673705	+	0.382077i
$776$	−6.57785	−	2.39414i	−0.236131	−	0.0859447i
$777$	3.39852	−	2.85170i	0.121921	−	0.102304i
$778$	6.77601			0.242932
$779$	−13.6010	+	0.197231i	−0.487307	+	0.00706655i
$780$	2.22668			0.0797280
$781$	−21.7833	+	18.2784i	−0.779469	+	0.654052i
$782$	12.8414	+	4.67388i	0.459206	+	0.167137i
$783$	−1.15270	+	6.53731i	−0.0411943	+	0.233624i
$784$	−0.841367	−	4.77163i	−0.0300488	−	0.170415i
$785$	20.7087	−	7.53736i	0.739126	−	0.269020i
$786$	−8.11381	+	14.0535i	−0.289410	+	0.501273i
$787$	−1.70321	−	2.95005i	−0.0607129	−	0.105158i	0.834071	−	0.551657i	$-0.186004\pi$
$787$	−1.70321	−	2.95005i	−0.0607129	−	0.105158i	−0.894784	+	0.446499i	$0.852671\pi$
$788$	−5.88532	−	4.93837i	−0.209656	−	0.175922i
$789$	−9.73964	−	8.17253i	−0.346740	−	0.290950i
$790$	−0.794263	−	1.37570i	−0.0282586	−	0.0489453i
$791$	−10.6081	+	18.3738i	−0.377182	+	0.653298i
$792$	−3.14543	+	1.14484i	−0.111768	+	0.0406802i
$793$	−2.59152	−	14.6972i	−0.0920275	−	0.521914i
$794$	5.05185	−	28.6505i	0.179283	−	1.01677i
$795$	−7.08512	−	2.57877i	−0.251283	−	0.0914597i
$796$	−8.48680	+	7.12127i	−0.300807	+	0.252407i
$797$	−44.7684			−1.58578			−0.792889	−	0.609367i	$-0.791424\pi$
$797$	−44.7684			−1.58578			−0.792889	+	0.609367i	$0.791424\pi$
$798$	−1.20233	−	6.28450i	−0.0425621	−	0.222469i
$799$	2.46286			0.0871297
$800$	0.766044	−	0.642788i	0.0270838	−	0.0227260i
$801$	10.2442	+	3.72859i	0.361962	+	0.131743i
$802$	−0.629071	+	3.56764i	−0.0222133	+	0.125978i
$803$	−8.08487	−	45.8516i	−0.285309	−	1.61807i
$804$	−13.1236	+	4.77660i	−0.462834	+	0.168458i
$805$	−3.14930	+	5.45475i	−0.110998	+	0.192255i
$806$	−12.0248	−	20.8276i	−0.423556	−	0.733621i
$807$	−12.3007	−	10.3215i	−0.433004	−	0.363333i
$808$	−3.79813	−	3.18701i	−0.133618	−	0.112119i
$809$	−13.5774	−	23.5167i	−0.477355	−	0.826804i	0.522308	−	0.852757i	$-0.325071\pi$
$809$	−13.5774	−	23.5167i	−0.477355	−	0.826804i	−0.999663	+	0.0259534i	$0.991738\pi$
$810$	0.500000	−	0.866025i	0.0175682	−	0.0304290i
$811$	−3.29813	+	1.20042i	−0.115813	+	0.0421525i	−0.399277	−	0.916830i	$-0.630739\pi$
$811$	−3.29813	+	1.20042i	−0.115813	+	0.0421525i	0.283464	+	0.958983i	$0.408516\pi$
$812$	1.69207	+	9.59619i	0.0593799	+	0.336760i
$813$	1.53297	−	8.69388i	0.0537635	−	0.304908i
$814$	9.50640	+	3.46005i	0.333199	+	0.121275i
$815$	6.56805	−	5.51125i	0.230069	−	0.193051i
$816$	−3.18479			−0.111490
$817$	−7.44521	−	12.4742i	−0.260475	−	0.436417i
$818$	−8.78342			−0.307105
$819$	2.50387	−	2.10100i	0.0874923	−	0.0734148i
$820$	−2.93242	−	1.06731i	−0.102405	−	0.0372722i
$821$	5.75789	−	32.6546i	0.200952	−	1.13965i	−0.702732	−	0.711455i	$-0.748037\pi$
$821$	5.75789	−	32.6546i	0.200952	−	1.13965i	0.903684	−	0.428200i	$-0.140852\pi$
$822$	−2.17112	−	12.3130i	−0.0757266	−	0.429467i
$823$	−40.8273	+	14.8599i	−1.42315	+	0.517984i	−0.934960	−	0.354753i	$-0.884565\pi$
$823$	−40.8273	+	14.8599i	−1.42315	+	0.517984i	−0.488190	+	0.872737i	$0.662343\pi$
$824$	1.02822	−	1.78093i	0.0358197	−	0.0620415i
$825$	−1.67365	−	2.89884i	−0.0582690	−	0.100925i
$826$	−4.96064	−	4.16247i	−0.172603	−	0.144831i
$827$	34.2984	+	28.7797i	1.19267	+	1.00077i	0.999809	+	0.0195434i	$0.00622127\pi$
$827$	34.2984	+	28.7797i	1.19267	+	1.00077i	0.192862	+	0.981226i	$0.438223\pi$
$828$	−2.14543	−	3.71599i	−0.0745588	−	0.129140i
$829$	18.8844	−	32.7088i	0.655884	−	1.13602i	−0.325788	−	0.945443i	$-0.605630\pi$
$829$	18.8844	−	32.7088i	0.655884	−	1.13602i	0.981671	−	0.190581i	$-0.0610371\pi$
$830$	0.747626	−	0.272114i	0.0259505	−	0.00944520i
$831$	−0.472248	−	2.67825i	−0.0163821	−	0.0929076i
$832$	−0.386659	+	2.19285i	−0.0134050	+	0.0760235i
$833$	−14.5005	−	5.27774i	−0.502411	−	0.182863i
$834$	8.34595	−	7.00309i	0.288997	−	0.242497i
$835$	−13.1138			−0.453822
$836$	11.0398	−	9.53969i	0.381820	−	0.329937i
$837$	−10.8007			−0.373325
$838$	21.1177	−	17.7198i	0.729498	−	0.612122i
$839$	−42.4239	−	15.4410i	−1.46463	−	0.533083i	−0.517996	−	0.855383i	$-0.673322\pi$
$839$	−42.4239	−	15.4410i	−1.46463	−	0.533083i	−0.946638	+	0.322300i	$0.895544\pi$
$840$	0.254900	−	1.44561i	0.00879489	−	0.0498783i
$841$	2.61603	+	14.8362i	0.0902079	+	0.511594i
$842$	−0.634285	+	0.230861i	−0.0218589	+	0.00795599i
$843$	12.9572	−	22.4426i	0.446271	−	0.772964i
$844$	−3.89646	−	6.74887i	−0.134122	−	0.232306i
$845$	6.16044	+	5.16923i	0.211926	+	0.177827i
$846$	−0.592396	−	0.497079i	−0.0203670	−	0.0170899i
$847$	0.150015	+	0.259834i	0.00515459	+	0.00892801i
$848$	3.76991	−	6.52968i	0.129459	−	0.224230i
$849$	22.5881	−	8.22140i	0.775222	−	0.282158i
$850$	−0.553033	−	3.13641i	−0.0189689	−	0.107578i
$851$	−2.25191	+	12.7712i	−0.0771944	+	0.437791i
$852$	7.98293	+	2.90555i	0.273491	+	0.0995424i
$853$	1.85457	−	1.55617i	0.0634993	−	0.0532822i	−0.610486	−	0.792027i	$-0.709026\pi$
$853$	1.85457	−	1.55617i	0.0634993	−	0.0532822i	0.673985	+	0.738745i	$0.264581\pi$
$854$	−9.83843			−0.336664
$855$	−0.694593	+	4.30320i	−0.0237546	+	0.147166i
$856$	−0.963163			−0.0329202
$857$	−40.9561	+	34.3663i	−1.39903	+	1.17393i	−0.437508	+	0.899214i	$0.644139\pi$
$857$	−40.9561	+	34.3663i	−1.39903	+	1.17393i	−0.961526	+	0.274714i	$0.911417\pi$
$858$	7.00387	+	2.54920i	0.239108	+	0.0870283i
$859$	3.73365	−	21.1746i	0.127391	−	0.722468i	−0.852469	−	0.522778i	$-0.824896\pi$
$859$	3.73365	−	21.1746i	0.127391	−	0.722468i	0.979859	−	0.199689i	$-0.0639933\pi$
$860$	−0.578726	−	3.28212i	−0.0197344	−	0.111919i
$861$	−4.30453	+	1.56672i	−0.146698	+	0.0533937i
$862$	0.120615	−	0.208911i	0.00410815	−	0.00711553i
$863$	−9.44656	−	16.3619i	−0.321565	−	0.556966i	0.659247	−	0.751927i	$-0.270875\pi$
$863$	−9.44656	−	16.3619i	−0.321565	−	0.556966i	−0.980811	+	0.194961i	$0.937542\pi$
$864$	0.766044	+	0.642788i	0.0260614	+	0.0218681i
$865$	1.67159	+	1.40263i	0.0568357	+	0.0476908i
$866$	−14.6989	−	25.4593i	−0.499490	−	0.865142i
$867$	3.42855	−	5.93842i	0.116440	−	0.201679i
$868$	−14.8983	+	5.42253i	−0.505680	+	0.184053i
$869$	−0.923334	−	5.23649i	−0.0313220	−	0.177636i
$870$	1.15270	−	6.53731i	0.0390803	−	0.221635i
$871$	29.2221	+	10.6360i	0.990153	+	0.360386i
$872$	9.14930	−	7.67717i	0.309834	−	0.259982i
$873$	7.00000			0.236914
$874$	14.5005	+	11.8133i	0.490486	+	0.399591i
$875$	1.46791			0.0496245
$876$	−10.6552	+	8.94080i	−0.360007	+	0.302082i
$877$	−20.4745	−	7.45210i	−0.691374	−	0.251639i	−0.0276504	−	0.999618i	$-0.508803\pi$
$877$	−20.4745	−	7.45210i	−0.691374	−	0.251639i	−0.663723	+	0.747978i	$0.731025\pi$
$878$	−4.61035	+	26.1466i	−0.155592	+	0.882404i
$879$	1.46673	+	8.31823i	0.0494715	+	0.280567i
$880$	3.14543	−	1.14484i	0.106032	−	0.0385926i
$881$	−4.69160	+	8.12609i	−0.158064	+	0.273775i	−0.934170	−	0.356827i	$-0.883859\pi$
$881$	−4.69160	+	8.12609i	−0.158064	+	0.273775i	0.776106	+	0.630602i	$0.217192\pi$
$882$	2.42262	+	4.19610i	0.0815738	+	0.141290i
$883$	−12.4402	−	10.4385i	−0.418645	−	0.351285i	0.409003	−	0.912533i	$-0.365877\pi$
$883$	−12.4402	−	10.4385i	−0.418645	−	0.351285i	−0.827647	+	0.561249i	$0.810321\pi$
$884$	5.43242	+	4.55834i	0.182712	+	0.153314i
$885$	2.20574	+	3.82045i	0.0741450	+	0.128423i
$886$	−15.7763	+	27.3254i	−0.530016	+	0.918014i
$887$	31.6481	−	11.5190i	1.06264	−	0.386769i	0.249220	−	0.968447i	$-0.419826\pi$
$887$	31.6481	−	11.5190i	1.06264	−	0.386769i	0.813419	+	0.581678i	$0.197603\pi$
$888$	−0.524815	−	2.97637i	−0.0176116	−	0.0998805i
$889$	4.82130	−	27.3429i	0.161701	−	0.917053i
$890$	−10.2442	−	3.72859i	−0.343387	−	0.124983i
$891$	2.56418	−	2.15160i	0.0859032	−	0.0720813i
$892$	−10.5348			−0.352730
$893$	3.18392	+	1.10684i	0.106546	+	0.0370389i
$894$	−4.67230			−0.156265
$895$	−15.6459	+	13.1285i	−0.522985	+	0.438836i
$896$	1.37939	+	0.502055i	0.0460820	+	0.0167725i
$897$	−1.65910	+	9.40923i	−0.0553957	+	0.314165i
$898$	−0.640682	−	3.63349i	−0.0213798	−	0.121251i
$899$	−67.3726	+	24.5216i	−2.24700	+	0.817842i
$900$	−0.500000	+	0.866025i	−0.0166667	+	0.0288675i
$901$	−12.0064	−	20.7957i	−0.399991	−	0.692805i
$902$	−8.00181	−	6.71432i	−0.266431	−	0.223562i
$903$	−3.74763	−	3.14463i	−0.124713	−	0.104647i
$904$	7.22668	+	12.5170i	0.240356	+	0.416309i
$905$	−10.3059	+	17.8503i	−0.342579	+	0.593364i
$906$	−8.75624	+	3.18701i	−0.290907	+	0.105881i
$907$	1.96110	+	11.1220i	0.0651174	+	0.369299i	0.999901	+	0.0140810i	$0.00448227\pi$
$907$	1.96110	+	11.1220i	0.0651174	+	0.369299i	−0.934783	+	0.355218i	$0.884407\pi$
$908$	−3.98427	+	22.5959i	−0.132223	+	0.749872i
$909$	4.65910	+	1.69577i	0.154533	+	0.0562453i
$910$	−2.50387	+	2.10100i	−0.0830025	+	0.0696474i
$911$	6.18573			0.204942			0.102471	−	0.994736i	$-0.467325\pi$
$911$	6.18573			0.204942			0.102471	+	0.994736i	$0.467325\pi$
$912$	−4.11721	−	1.43128i	−0.136334	−	0.0473945i
$913$	2.66313			0.0881368
$914$	−5.89646	+	4.94772i	−0.195038	+	0.163656i
$915$	6.29813	+	2.29233i	0.208210	+	0.0757822i
$916$	−1.09879	+	6.23156i	−0.0363051	+	0.205897i
$917$	−4.13642	−	23.4588i	−0.136597	−	0.774678i
$918$	2.99273	−	1.08926i	0.0987747	−	0.0359510i
$919$	0.201867	−	0.349643i	0.00665897	−	0.0115337i	−0.862677	−	0.505756i	$-0.831214\pi$
$919$	0.201867	−	0.349643i	0.00665897	−	0.0115337i	0.869336	+	0.494222i	$0.164547\pi$
$920$	2.14543	+	3.71599i	0.0707327	+	0.122513i
$921$	22.0082	+	18.4671i	0.725195	+	0.608511i
$922$	11.8641	+	9.95518i	0.390724	+	0.327856i
$923$	−9.45811	−	16.3819i	−0.311318	−	0.539218i
$924$	2.45677	−	4.25524i	0.0808217	−	0.139987i
$925$	2.84002	−	1.03368i	0.0933794	−	0.0339873i
$926$	0.408014	+	2.31396i	0.0134082	+	0.0760416i
$927$	−0.357097	+	2.02520i	−0.0117286	+	0.0665161i
$928$	6.23783	+	2.27038i	0.204767	+	0.0745290i
$929$	44.4504	−	37.2983i	1.45837	−	1.22372i	0.532198	−	0.846620i	$-0.321366\pi$
$929$	44.4504	−	37.2983i	1.45837	−	1.22372i	0.926173	−	0.377099i	$-0.123078\pi$
$930$	10.8007			0.354168
$931$	−16.3739	−	13.3396i	−0.536634	−	0.437188i
$932$	10.6209			0.347900
$933$	7.21348	−	6.05283i	0.236159	−	0.198161i
$934$	35.3161	+	12.8540i	1.15558	+	0.420597i
$935$	1.85117	−	10.4985i	0.0605396	−	0.343337i
$936$	−0.386659	−	2.19285i	−0.0126384	−	0.0716757i
$937$	32.7332	−	11.9139i	1.06935	−	0.389211i	0.253415	−	0.967358i	$-0.418446\pi$
$937$	32.7332	−	11.9139i	1.06935	−	0.389211i	0.815933	+	0.578147i	$0.196224\pi$
$938$	10.2503	−	17.7541i	0.334685	−	0.579691i
$939$	13.2062	+	22.8738i	0.430968	+	0.746459i
$940$	0.592396	+	0.497079i	0.0193218	+	0.0162129i
$941$	3.44878	+	2.89387i	0.112427	+	0.0943374i	0.697268	−	0.716810i	$-0.254399\pi$
$941$	3.44878	+	2.89387i	0.112427	+	0.0943374i	−0.584841	+	0.811148i	$0.698843\pi$
$942$	−11.0189	−	19.0853i	−0.359015	−	0.621832i
$943$	6.69506	−	11.5962i	0.218021	−	0.377624i
$944$	−4.14543	+	1.50881i	−0.134922	+	0.0491077i
$945$	0.254900	+	1.44561i	0.00829190	+	0.0470257i
$946$	1.93717	−	10.9862i	0.0629827	−	0.357193i
$947$	−40.1801	−	14.6244i	−1.30568	−	0.475228i	−0.406836	−	0.913501i	$-0.633368\pi$
$947$	−40.1801	−	14.6244i	−1.30568	−	0.475228i	−0.898842	+	0.438273i	$0.855590\pi$
$948$	−1.21688	+	1.02108i	−0.0395225	+	0.0331633i
$949$	30.9718			1.00539
$950$	0.694593	−	4.30320i	0.0225356	−	0.139614i
$951$	19.9813			0.647939
$952$	3.58125	−	3.00503i	0.116069	−	0.0973935i
$953$	−20.7182	−	7.54082i	−0.671129	−	0.244271i	−0.0160952	−	0.999870i	$-0.505123\pi$
$953$	−20.7182	−	7.54082i	−0.671129	−	0.244271i	−0.655034	+	0.755599i	$0.727346\pi$
$954$	−1.30928	+	7.42528i	−0.0423894	+	0.240402i
$955$	2.41488	+	13.6955i	0.0781436	+	0.443174i
$956$	11.6976	−	4.25757i	0.378327	−	0.137700i
$957$	11.1099	−	19.2430i	0.359133	−	0.622037i
$958$	7.09492	+	12.2888i	0.229227	+	0.397032i
$959$	14.0594	+	11.7973i	0.454003	+	0.380953i
$960$	−0.766044	−	0.642788i	−0.0247240	−	0.0207459i
$961$	−42.8271	−	74.1788i	−1.38152	−	2.39286i
$962$	−3.36484	+	5.82807i	−0.108487	+	0.187904i
$963$	0.905078	−	0.329421i	0.0291657	−	0.0106155i
$964$	−2.12954	−	12.0772i	−0.0685878	−	0.388981i
$965$	0.790393	−	4.48254i	0.0254436	−	0.144298i
$966$	5.91875	+	2.15425i	0.190433	+	0.0693118i
$967$	−33.0954	+	27.7703i	−1.06428	+	0.893034i	−0.994522	−	0.104531i	$-0.966666\pi$
$967$	−33.0954	+	27.7703i	−1.06428	+	0.893034i	−0.0697543	+	0.997564i	$0.522222\pi$
$968$	0.204393			0.00656944
$969$	−10.5039	+	9.07656i	−0.337433	+	0.291581i
$970$	−7.00000			−0.224756
$971$	13.1793	−	11.0588i	0.422945	−	0.354893i	−0.406337	−	0.913723i	$-0.633194\pi$
$971$	13.1793	−	11.0588i	0.422945	−	0.354893i	0.829282	+	0.558830i	$0.188750\pi$
$972$	−0.939693	−	0.342020i	−0.0301407	−	0.0109703i
$973$	−2.77710	+	15.7497i	−0.0890298	+	0.504913i
$974$	0.896926	+	5.08672i	0.0287394	+	0.162989i
$975$	2.09240	−	0.761570i	0.0670103	−	0.0243898i
$976$	−3.35117	+	5.80439i	−0.107268	+	0.185794i
$977$	−15.8071	−	27.3786i	−0.505713	−	0.875920i	−0.999978	−	0.00660887i	$-0.997896\pi$
$977$	−15.8071	−	27.3786i	−0.505713	−	0.875920i	0.494266	−	0.869311i	$-0.335437\pi$
$978$	−6.56805	−	5.51125i	−0.210023	−	0.176230i
$979$	−27.9538	−	23.4560i	−0.893408	−	0.749659i
$980$	−2.42262	−	4.19610i	−0.0773877	−	0.134039i
$981$	−5.97178	+	10.3434i	−0.190664	+	0.330240i
$982$	11.0505	−	4.02206i	0.352636	−	0.128349i
$983$	9.16654	+	51.9860i	0.292367	+	1.65810i	0.677715	+	0.735325i	$0.262970\pi$
$983$	9.16654	+	51.9860i	0.292367	+	1.65810i	−0.385348	+	0.922771i	$0.625919\pi$
$984$	−0.541889	+	3.07321i	−0.0172748	+	0.0979702i
$985$	−7.21941	−	2.62765i	−0.230029	−	0.0837239i
$986$	16.1951	−	13.5893i	0.515756	−	0.432770i
$987$	1.13516			0.0361326
$988$	4.97431	+	8.33429i	0.158254	+	0.265149i
$989$	14.3004			0.454725
$990$	−2.56418	+	2.15160i	−0.0814949	+	0.0683824i
$991$	22.2221	+	8.08818i	0.705908	+	0.256930i	0.669931	−	0.742423i	$-0.266324\pi$
$991$	22.2221	+	8.08818i	0.705908	+	0.256930i	0.0359768	+	0.999353i	$0.488546\pi$
$992$	−1.87551	+	10.6366i	−0.0595477	+	0.337712i
$993$	4.28715	+	24.3136i	0.136049	+	0.771570i
$994$	−11.7182	+	4.26509i	−0.371680	+	0.135280i
$995$	−5.53936	+	9.59446i	−0.175610	+	0.304165i
$996$	−0.397804	−	0.689016i	−0.0126049	−	0.0218323i
$997$	29.5212	+	24.7712i	0.934945	+	0.784512i	0.976698	−	0.214616i	$-0.0688501\pi$
$997$	29.5212	+	24.7712i	0.934945	+	0.784512i	−0.0417538	+	0.999128i	$0.513295\pi$
$998$	23.9820	+	20.1233i	0.759138	+	0.636993i
$999$	1.51114	+	2.61738i	0.0478105	+	0.0828102i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	570.2.u.h.481.1	yes	6
19.16	even	9	inner	570.2.u.h.301.1	✓	6

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
570.2.u.h.301.1	✓	6	19.16	even	9	inner
570.2.u.h.481.1	yes	6	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:	\( N \)	\(=\)	\( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	570.u (of order \(9\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.766044 - 0.642788i) q^{2} +(-0.939693 - 0.342020i) q^{3} +(0.173648 - 0.984808i) q^{4} +(-0.173648 - 0.984808i) q^{5} +(-0.939693 + 0.342020i) q^{6} +(0.733956 - 1.27125i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(0.766044 + 0.642788i) q^{9} +O(q^{10})\)	\(q+(0.766044 - 0.642788i) q^{2} +(-0.939693 - 0.342020i) q^{3} +(0.173648 - 0.984808i) q^{4} +(-0.173648 - 0.984808i) q^{5} +(-0.939693 + 0.342020i) q^{6} +(0.733956 - 1.27125i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(0.766044 + 0.642788i) q^{9} +(-0.766044 - 0.642788i) q^{10} +(-1.67365 - 2.89884i) q^{11} +(-0.500000 + 0.866025i) q^{12} +(2.09240 - 0.761570i) q^{13} +(-0.254900 - 1.44561i) q^{14} +(-0.173648 + 0.984808i) q^{15} +(-0.939693 - 0.342020i) q^{16} +(-2.43969 + 2.04715i) q^{17} +1.00000 q^{18} +(-4.07398 + 1.55007i) q^{19} -1.00000 q^{20} +(-1.12449 + 0.943555i) q^{21} +(-3.14543 - 1.14484i) q^{22} +(0.745100 - 4.22567i) q^{23} +(0.173648 + 0.984808i) q^{24} +(-0.939693 + 0.342020i) q^{25} +(1.11334 - 1.92836i) q^{26} +(-0.500000 - 0.866025i) q^{27} +(-1.12449 - 0.943555i) q^{28} +(-5.08512 - 4.26692i) q^{29} +(0.500000 + 0.866025i) q^{30} +(5.40033 - 9.35365i) q^{31} +(-0.939693 + 0.342020i) q^{32} +(0.581252 + 3.29644i) q^{33} +(-0.553033 + 3.13641i) q^{34} +(-1.37939 - 0.502055i) q^{35} +(0.766044 - 0.642788i) q^{36} -3.02229 q^{37} +(-2.12449 + 3.80612i) q^{38} -2.22668 q^{39} +(-0.766044 + 0.642788i) q^{40} +(2.93242 + 1.06731i) q^{41} +(-0.254900 + 1.44561i) q^{42} +(0.578726 + 3.28212i) q^{43} +(-3.14543 + 1.14484i) q^{44} +(0.500000 - 0.866025i) q^{45} +(-2.14543 - 3.71599i) q^{46} +(-0.592396 - 0.497079i) q^{47} +(0.766044 + 0.642788i) q^{48} +(2.42262 + 4.19610i) q^{49} +(-0.500000 + 0.866025i) q^{50} +(2.99273 - 1.08926i) q^{51} +(-0.386659 - 2.19285i) q^{52} +(-1.30928 + 7.42528i) q^{53} +(-0.939693 - 0.342020i) q^{54} +(-2.56418 + 2.15160i) q^{55} -1.46791 q^{56} +(4.35844 - 0.0632028i) q^{57} -6.63816 q^{58} +(3.37939 - 2.83564i) q^{59} +(0.939693 + 0.342020i) q^{60} +(1.16385 - 6.60051i) q^{61} +(-1.87551 - 10.6366i) q^{62} +(1.37939 - 0.502055i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(-1.11334 - 1.92836i) q^{65} +(2.56418 + 2.15160i) q^{66} +(10.6985 + 8.97708i) q^{67} +(1.59240 + 2.75811i) q^{68} +(-2.14543 + 3.71599i) q^{69} +(-1.37939 + 0.502055i) q^{70} +(-1.47519 - 8.36619i) q^{71} +(0.173648 - 0.984808i) q^{72} +(13.0706 + 4.75730i) q^{73} +(-2.31521 + 1.94269i) q^{74} +1.00000 q^{75} +(0.819078 + 4.28125i) q^{76} -4.91353 q^{77} +(-1.70574 + 1.43128i) q^{78} +(1.49273 + 0.543308i) q^{79} +(-0.173648 + 0.984808i) q^{80} +(0.173648 + 0.984808i) q^{81} +(2.93242 - 1.06731i) q^{82} +(-0.397804 + 0.689016i) q^{83} +(0.733956 + 1.27125i) q^{84} +(2.43969 + 2.04715i) q^{85} +(2.55303 + 2.14225i) q^{86} +(3.31908 + 5.74881i) q^{87} +(-1.67365 + 2.89884i) q^{88} +(10.2442 - 3.72859i) q^{89} +(-0.173648 - 0.984808i) q^{90} +(0.567581 - 3.21891i) q^{91} +(-4.03209 - 1.46756i) q^{92} +(-8.27379 + 6.94253i) q^{93} -0.773318 q^{94} +(2.23396 + 3.74292i) q^{95} +1.00000 q^{96} +(5.36231 - 4.49951i) q^{97} +(4.55303 + 1.65717i) q^{98} +(0.581252 - 3.29644i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 6 q + 9 q^{7} - 3 q^{8}+O(q^{10}) \) 6 * q + 9 * q^7 - 3 * q^8	\( 6 q + 9 q^{7} - 3 q^{8} - 9 q^{11} - 3 q^{12} + 9 q^{13} - 3 q^{14} - 9 q^{17} + 6 q^{18} - 9 q^{19} - 6 q^{20} + 6 q^{21} - 3 q^{22} + 3 q^{23} - 3 q^{27} + 6 q^{28} - 9 q^{29} + 3 q^{30} + 18 q^{31} + 6 q^{33} + 9 q^{34} + 3 q^{35} - 6 q^{37} - 6 q^{41} - 3 q^{42} + 21 q^{43} - 3 q^{44} + 3 q^{45} + 3 q^{46} - 12 q^{49} - 3 q^{50} - 9 q^{52} + 12 q^{53} + 3 q^{55} - 18 q^{56} + 18 q^{57} - 6 q^{58} + 9 q^{59} + 3 q^{61} - 24 q^{62} - 3 q^{63} - 3 q^{64} - 3 q^{66} + 36 q^{67} + 6 q^{68} + 3 q^{69} + 3 q^{70} - 36 q^{71} + 21 q^{73} - 21 q^{74} + 6 q^{75} - 12 q^{76} - 60 q^{77} - 9 q^{79} - 6 q^{82} - 3 q^{83} + 9 q^{84} + 9 q^{85} + 3 q^{86} + 3 q^{87} - 9 q^{88} + 3 q^{89} + 27 q^{91} - 15 q^{92} + 3 q^{93} - 18 q^{94} + 18 q^{95} + 6 q^{96} + 15 q^{98} + 6 q^{99}+O(q^{100}) \) 6 * q + 9 * q^7 - 3 * q^8 - 9 * q^11 - 3 * q^12 + 9 * q^13 - 3 * q^14 - 9 * q^17 + 6 * q^18 - 9 * q^19 - 6 * q^20 + 6 * q^21 - 3 * q^22 + 3 * q^23 - 3 * q^27 + 6 * q^28 - 9 * q^29 + 3 * q^30 + 18 * q^31 + 6 * q^33 + 9 * q^34 + 3 * q^35 - 6 * q^37 - 6 * q^41 - 3 * q^42 + 21 * q^43 - 3 * q^44 + 3 * q^45 + 3 * q^46 - 12 * q^49 - 3 * q^50 - 9 * q^52 + 12 * q^53 + 3 * q^55 - 18 * q^56 + 18 * q^57 - 6 * q^58 + 9 * q^59 + 3 * q^61 - 24 * q^62 - 3 * q^63 - 3 * q^64 - 3 * q^66 + 36 * q^67 + 6 * q^68 + 3 * q^69 + 3 * q^70 - 36 * q^71 + 21 * q^73 - 21 * q^74 + 6 * q^75 - 12 * q^76 - 60 * q^77 - 9 * q^79 - 6 * q^82 - 3 * q^83 + 9 * q^84 + 9 * q^85 + 3 * q^86 + 3 * q^87 - 9 * q^88 + 3 * q^89 + 27 * q^91 - 15 * q^92 + 3 * q^93 - 18 * q^94 + 18 * q^95 + 6 * q^96 + 15 * q^98 + 6 * q^99

Introduction

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