LMFDB - Embedded newform 190.2.k.d.81.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [190,2,Mod(61,190)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(190, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([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("190.61");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 190 = 2 \cdot 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	190.k (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:	$1.51715763840$
Analytic rank:	$0$
Dimension:	$18$
Relative dimension:	$3$ over $\Q(\zeta_{9})$
Coefficient field:	$\mathbb{Q}[x]/(x^{18} + \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{18} + 24 x^{16} - 12 x^{15} + 393 x^{14} - 222 x^{13} + 3518 x^{12} - 2478 x^{11} + 22809 x^{10} + \cdots + 64 $ x^18 + 24x^16 - 12x^15 + 393x^14 - 222x^13 + 3518x^12 - 2478x^11 + 22809x^10 - 12862x^9 + 77397x^8 - 24822x^7 + 178501x^6 - 39408x^5 + 132588x^4 + 45584x^3 + 50640x^2 + 1824x + 64
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			81.1
Root			$1.60792 - 2.78500i$ of defining polynomial
Character	$\chi$	$=$	190.81
Dual form			190.2.k.d.61.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.939693 - 0.342020i) q^{2} +(-0.558424 + 3.16698i) q^{3} +(0.766044 - 0.642788i) q^{4} +(0.766044 + 0.642788i) q^{5} +(0.558424 + 3.16698i) q^{6} +(0.0116976 + 0.0202608i) q^{7} +(0.500000 - 0.866025i) q^{8} +(-6.89886 - 2.51098i) q^{9} +O(q^{10})$	\(q+(0.939693 - 0.342020i) q^{2} +(-0.558424 + 3.16698i) q^{3} +(0.766044 - 0.642788i) q^{4} +(0.766044 + 0.642788i) q^{5} +(0.558424 + 3.16698i) q^{6} +(0.0116976 + 0.0202608i) q^{7} +(0.500000 - 0.866025i) q^{8} +(-6.89886 - 2.51098i) q^{9} +(0.939693 + 0.342020i) q^{10} +(-1.08041 + 1.87132i) q^{11} +(1.60792 + 2.78500i) q^{12} +(-0.276152 - 1.56613i) q^{13} +(0.0179217 + 0.0150381i) q^{14} +(-2.46347 + 2.06710i) q^{15} +(0.173648 - 0.984808i) q^{16} +(7.49847 - 2.72922i) q^{17} -7.34161 q^{18} +(1.06458 + 4.22690i) q^{19} +1.00000 q^{20} +(-0.0706976 + 0.0257318i) q^{21} +(-0.375222 + 2.12799i) q^{22} +(3.43239 - 2.88011i) q^{23} +(2.46347 + 2.06710i) q^{24} +(0.173648 + 0.984808i) q^{25} +(-0.795147 - 1.37724i) q^{26} +(6.98095 - 12.0914i) q^{27} +(0.0219842 + 0.00800160i) q^{28} +(-7.09702 - 2.58310i) q^{29} +(-1.60792 + 2.78500i) q^{30} +(-2.22993 - 3.86236i) q^{31} +(-0.173648 - 0.984808i) q^{32} +(-5.32312 - 4.46663i) q^{33} +(6.11281 - 5.12925i) q^{34} +(-0.00406252 + 0.0230397i) q^{35} +(-6.89886 + 2.51098i) q^{36} -0.389132 q^{37} +(2.44606 + 3.60788i) q^{38} +5.11413 q^{39} +(0.939693 - 0.342020i) q^{40} +(0.972920 - 5.51771i) q^{41} +(-0.0576332 + 0.0483600i) q^{42} +(7.43337 + 6.23734i) q^{43} +(0.375222 + 2.12799i) q^{44} +(-3.67080 - 6.35802i) q^{45} +(2.24033 - 3.88037i) q^{46} +(-4.01711 - 1.46211i) q^{47} +(3.02190 + 1.09988i) q^{48} +(3.49973 - 6.06170i) q^{49} +(0.500000 + 0.866025i) q^{50} +(4.45606 + 25.2716i) q^{51} +(-1.21824 - 1.02222i) q^{52} +(-2.89731 + 2.43113i) q^{53} +(2.42446 - 13.7498i) q^{54} +(-2.03050 + 0.739043i) q^{55} +0.0233951 q^{56} +(-13.9810 + 1.01111i) q^{57} -7.55249 q^{58} +(3.41426 - 1.24269i) q^{59} +(-0.558424 + 3.16698i) q^{60} +(-8.84152 + 7.41891i) q^{61} +(-3.41646 - 2.86675i) q^{62} +(-0.0298254 - 0.169148i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(0.795147 - 1.37724i) q^{65} +(-6.52977 - 2.37664i) q^{66} +(-3.62429 - 1.31913i) q^{67} +(3.98985 - 6.91062i) q^{68} +(7.20454 + 12.4786i) q^{69} +(0.00406252 + 0.0230397i) q^{70} +(-9.85813 - 8.27195i) q^{71} +(-5.62400 + 4.71909i) q^{72} +(-0.330206 + 1.87269i) q^{73} +(-0.365664 + 0.133091i) q^{74} -3.21584 q^{75} +(3.53251 + 2.55369i) q^{76} -0.0505526 q^{77} +(4.80571 - 1.74914i) q^{78} +(-1.65165 + 9.36698i) q^{79} +(0.766044 - 0.642788i) q^{80} +(17.5228 + 14.7034i) q^{81} +(-0.972920 - 5.51771i) q^{82} +(1.31417 + 2.27622i) q^{83} +(-0.0376174 + 0.0651553i) q^{84} +(7.49847 + 2.72922i) q^{85} +(9.11838 + 3.31882i) q^{86} +(12.1438 - 21.0337i) q^{87} +(1.08041 + 1.87132i) q^{88} +(1.54115 + 8.74032i) q^{89} +(-5.62400 - 4.71909i) q^{90} +(0.0285008 - 0.0239150i) q^{91} +(0.778059 - 4.41259i) q^{92} +(13.4773 - 4.90532i) q^{93} -4.27492 q^{94} +(-1.90148 + 3.92229i) q^{95} +3.21584 q^{96} +(-10.4812 + 3.81486i) q^{97} +(1.21544 - 6.89312i) q^{98} +(12.1524 - 10.1971i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 18 q + 9 q^{8} - 18 q^{9}+O(q^{10}) $ 18 * q + 9 * q^8 - 18 * q^9	$ 18 q + 9 q^{8} - 18 q^{9} - 12 q^{11} - 6 q^{13} + 6 q^{14} - 42 q^{18} + 18 q^{20} + 12 q^{21} - 3 q^{22} + 9 q^{23} - 9 q^{26} - 18 q^{27} + 3 q^{28} - 6 q^{29} - 6 q^{31} + 66 q^{33} + 18 q^{34} + 3 q^{35} - 18 q^{36} - 12 q^{37} - 6 q^{38} + 48 q^{39} - 21 q^{41} + 42 q^{42} + 18 q^{43} + 3 q^{44} - 21 q^{45} + 18 q^{46} - 54 q^{47} - 39 q^{49} + 9 q^{50} + 42 q^{51} + 12 q^{52} - 24 q^{53} - 54 q^{54} - 6 q^{55} - 18 q^{57} - 30 q^{59} + 48 q^{61} - 30 q^{62} - 57 q^{63} - 9 q^{64} + 9 q^{65} + 24 q^{66} - 6 q^{67} - 6 q^{68} - 30 q^{69} - 3 q^{70} + 30 q^{71} + 6 q^{73} - 3 q^{74} - 21 q^{76} + 30 q^{77} - 24 q^{78} + 30 q^{79} + 18 q^{81} + 21 q^{82} + 6 q^{83} + 6 q^{84} + 36 q^{86} + 24 q^{87} + 12 q^{88} + 30 q^{89} - 60 q^{91} - 18 q^{92} - 12 q^{93} + 6 q^{94} - 12 q^{95} - 12 q^{97} - 18 q^{98} + 171 q^{99}+O(q^{100}) $ 18 * q + 9 * q^8 - 18 * q^9 - 12 * q^11 - 6 * q^13 + 6 * q^14 - 42 * q^18 + 18 * q^20 + 12 * q^21 - 3 * q^22 + 9 * q^23 - 9 * q^26 - 18 * q^27 + 3 * q^28 - 6 * q^29 - 6 * q^31 + 66 * q^33 + 18 * q^34 + 3 * q^35 - 18 * q^36 - 12 * q^37 - 6 * q^38 + 48 * q^39 - 21 * q^41 + 42 * q^42 + 18 * q^43 + 3 * q^44 - 21 * q^45 + 18 * q^46 - 54 * q^47 - 39 * q^49 + 9 * q^50 + 42 * q^51 + 12 * q^52 - 24 * q^53 - 54 * q^54 - 6 * q^55 - 18 * q^57 - 30 * q^59 + 48 * q^61 - 30 * q^62 - 57 * q^63 - 9 * q^64 + 9 * q^65 + 24 * q^66 - 6 * q^67 - 6 * q^68 - 30 * q^69 - 3 * q^70 + 30 * q^71 + 6 * q^73 - 3 * q^74 - 21 * q^76 + 30 * q^77 - 24 * q^78 + 30 * q^79 + 18 * q^81 + 21 * q^82 + 6 * q^83 + 6 * q^84 + 36 * q^86 + 24 * q^87 + 12 * q^88 + 30 * q^89 - 60 * q^91 - 18 * q^92 - 12 * q^93 + 6 * q^94 - 12 * q^95 - 12 * q^97 - 18 * q^98 + 171 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/190\mathbb{Z}\right)^\times$.

$n$	$21$	$77$
$\chi(n)$	$e\left(\frac{8}{9}\right)$	$1$

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 $

$2$	0.939693	−	0.342020i	0.664463	−	0.241845i
$2$	0.939693	−	0.342020i	0.664463	−	0.241845i
$3$	−0.558424	+	3.16698i	−0.322406	+	1.82846i	0.204901	+	0.978783i	$0.434313\pi$
$3$	−0.558424	+	3.16698i	−0.322406	+	1.82846i	−0.527307	+	0.849675i	$0.676798\pi$
$4$	0.766044	−	0.642788i	0.383022	−	0.321394i
$5$	0.766044	+	0.642788i	0.342585	+	0.287463i
$5$	0.766044	+	0.642788i	0.342585	+	0.287463i
$6$	0.558424	+	3.16698i	0.227976	+	1.29291i
$7$	0.0116976	+	0.0202608i	0.00442126	+	0.00765785i	0.868228	−	0.496166i	$-0.165259\pi$
$7$	0.0116976	+	0.0202608i	0.00442126	+	0.00765785i	−0.863806	+	0.503824i	$0.831926\pi$
$8$	0.500000	−	0.866025i	0.176777	−	0.306186i
$9$	−6.89886	−	2.51098i	−2.29962	−	0.836993i
$10$	0.939693	+	0.342020i	0.297157	+	0.108156i
$11$	−1.08041	+	1.87132i	−0.325755	+	0.564225i	−0.981665	−	0.190615i	$-0.938952\pi$
$11$	−1.08041	+	1.87132i	−0.325755	+	0.564225i	0.655910	+	0.754839i	$0.272285\pi$
$12$	1.60792	+	2.78500i	0.464166	+	0.803959i
$13$	−0.276152	−	1.56613i	−0.0765907	−	0.434368i	−0.998856	−	0.0478110i	$-0.984775\pi$
$13$	−0.276152	−	1.56613i	−0.0765907	−	0.434368i	0.922266	−	0.386557i	$-0.126336\pi$
$14$	0.0179217	+	0.0150381i	0.00478977	+	0.00401910i
$15$	−2.46347	+	2.06710i	−0.636066	+	0.533723i
$16$	0.173648	−	0.984808i	0.0434120	−	0.246202i
$17$	7.49847	−	2.72922i	1.81865	−	0.661933i	0.823073	−	0.567936i	$-0.192258\pi$
$17$	7.49847	−	2.72922i	1.81865	−	0.661933i	0.995573	−	0.0939966i	$-0.0299643\pi$
$18$	−7.34161			−1.73043
$19$	1.06458	+	4.22690i	0.244232	+	0.969717i
$19$	1.06458	+	4.22690i	0.244232	+	0.969717i
$20$	1.00000			0.223607
$21$	−0.0706976	+	0.0257318i	−0.0154275	+	0.00561515i
$22$	−0.375222	+	2.12799i	−0.0799976	+	0.453689i
$23$	3.43239	−	2.88011i	0.715702	−	0.600545i	−0.210491	−	0.977596i	$-0.567506\pi$
$23$	3.43239	−	2.88011i	0.715702	−	0.600545i	0.926193	+	0.377050i	$0.123062\pi$
$24$	2.46347	+	2.06710i	0.502855	+	0.421945i
$25$	0.173648	+	0.984808i	0.0347296	+	0.196962i
$26$	−0.795147	−	1.37724i	−0.155941	−	0.270098i
$27$	6.98095	−	12.0914i	1.34348	−	2.32698i
$28$	0.0219842	+	0.00800160i	0.00415463	+	0.00151216i
$29$	−7.09702	−	2.58310i	−1.31788	−	0.479670i	−0.415104	−	0.909774i	$-0.636255\pi$
$29$	−7.09702	−	2.58310i	−1.31788	−	0.479670i	−0.902780	+	0.430104i	$0.858477\pi$
$30$	−1.60792	+	2.78500i	−0.293564	+	0.508468i
$31$	−2.22993	−	3.86236i	−0.400508	−	0.693700i	0.593279	−	0.804997i	$-0.297833\pi$
$31$	−2.22993	−	3.86236i	−0.400508	−	0.693700i	−0.993787	+	0.111297i	$0.964500\pi$
$32$	−0.173648	−	0.984808i	−0.0306970	−	0.174091i
$33$	−5.32312	−	4.46663i	−0.926636	−	0.777540i
$34$	6.11281	−	5.12925i	1.04834	−	0.879660i
$35$	−0.00406252	+	0.0230397i	−0.000686691	+	0.00389442i
$36$	−6.89886	+	2.51098i	−1.14981	+	0.418496i
$37$	−0.389132			−0.0639729			−0.0319864	−	0.999488i	$-0.510183\pi$
$37$	−0.389132			−0.0639729			−0.0319864	+	0.999488i	$0.510183\pi$
$38$	2.44606	+	3.60788i	0.396804	+	0.585275i
$39$	5.11413			0.818916
$40$	0.939693	−	0.342020i	0.148578	−	0.0540781i
$41$	0.972920	−	5.51771i	0.151945	−	0.861721i	−0.809582	−	0.587007i	$-0.800306\pi$
$41$	0.972920	−	5.51771i	0.151945	−	0.861721i	0.961526	−	0.274713i	$-0.0885830\pi$
$42$	−0.0576332	+	0.0483600i	−0.00889300	+	0.00746212i
$43$	7.43337	+	6.23734i	1.13358	+	0.951185i	0.999210	−	0.0397459i	$-0.0126549\pi$
$43$	7.43337	+	6.23734i	1.13358	+	0.951185i	0.134369	+	0.990931i	$0.457099\pi$
$44$	0.375222	+	2.12799i	0.0565668	+	0.320806i
$45$	−3.67080	−	6.35802i	−0.547211	−	0.947798i
$46$	2.24033	−	3.88037i	0.330319	−	0.572129i
$47$	−4.01711	−	1.46211i	−0.585956	−	0.213271i	0.0319938	−	0.999488i	$-0.489814\pi$
$47$	−4.01711	−	1.46211i	−0.585956	−	0.213271i	−0.617950	+	0.786218i	$0.712037\pi$
$48$	3.02190	+	1.09988i	0.436173	+	0.158754i
$49$	3.49973	−	6.06170i	0.499961	−	0.865958i
$50$	0.500000	+	0.866025i	0.0707107	+	0.122474i
$51$	4.45606	+	25.2716i	0.623973	+	3.53873i
$52$	−1.21824	−	1.02222i	−0.168939	−	0.141757i
$53$	−2.89731	+	2.43113i	−0.397976	+	0.333941i	−0.819711	−	0.572778i	$-0.805866\pi$
$53$	−2.89731	+	2.43113i	−0.397976	+	0.333941i	0.421735	+	0.906719i	$0.361421\pi$
$54$	2.42446	−	13.7498i	0.329927	−	1.87111i
$55$	−2.03050	+	0.739043i	−0.273793	+	0.0996525i
$56$	0.0233951			0.00312630
$57$	−13.9810	+	1.01111i	−1.85183	+	0.133925i
$58$	−7.55249			−0.991691
$59$	3.41426	−	1.24269i	0.444499	−	0.161784i	−0.110067	−	0.993924i	$-0.535107\pi$
$59$	3.41426	−	1.24269i	0.444499	−	0.161784i	0.554566	+	0.832140i	$0.312884\pi$
$60$	−0.558424	+	3.16698i	−0.0720923	+	0.408856i
$61$	−8.84152	+	7.41891i	−1.13204	+	0.949894i	−0.999149	−	0.0412364i	$-0.986870\pi$
$61$	−8.84152	+	7.41891i	−1.13204	+	0.949894i	−0.132891	+	0.991131i	$0.542426\pi$
$62$	−3.41646	−	2.86675i	−0.433890	−	0.364077i
$63$	−0.0298254	−	0.169148i	−0.00375765	−	0.0213107i
$64$	−0.500000	−	0.866025i	−0.0625000	−	0.108253i
$65$	0.795147	−	1.37724i	0.0986259	−	0.170825i
$66$	−6.52977	−	2.37664i	−0.803759	−	0.292544i
$67$	−3.62429	−	1.31913i	−0.442778	−	0.161158i	0.111004	−	0.993820i	$-0.464593\pi$
$67$	−3.62429	−	1.31913i	−0.442778	−	0.161158i	−0.553781	+	0.832662i	$0.686816\pi$
$68$	3.98985	−	6.91062i	0.483840	−	0.838036i
$69$	7.20454	+	12.4786i	0.867325	+	1.50225i
$70$	0.00406252	+	0.0230397i	0.000485564	+	0.00275377i
$71$	−9.85813	−	8.27195i	−1.16994	−	0.981700i	−0.169952	−	0.985452i	$-0.554361\pi$
$71$	−9.85813	−	8.27195i	−1.16994	−	0.981700i	−0.999993	+	0.00375214i	$0.998806\pi$
$72$	−5.62400	+	4.71909i	−0.662795	+	0.556151i
$73$	−0.330206	+	1.87269i	−0.0386477	+	0.219182i	−0.998015	−	0.0629785i	$-0.979940\pi$
$73$	−0.330206	+	1.87269i	−0.0386477	+	0.219182i	0.959367	+	0.282161i	$0.0910511\pi$
$74$	−0.365664	+	0.133091i	−0.0425076	+	0.0154715i
$75$	−3.21584			−0.371333
$76$	3.53251	+	2.55369i	0.405207	+	0.292928i
$77$	−0.0505526			−0.00576100
$78$	4.80571	−	1.74914i	0.544139	−	0.198051i
$79$	−1.65165	+	9.36698i	−0.185825	+	1.05387i	0.739065	+	0.673634i	$0.235267\pi$
$79$	−1.65165	+	9.36698i	−0.185825	+	1.05387i	−0.924891	+	0.380233i	$0.875844\pi$
$80$	0.766044	−	0.642788i	0.0856464	−	0.0718658i
$81$	17.5228	+	14.7034i	1.94698	+	1.63371i
$82$	−0.972920	−	5.51771i	−0.107441	−	0.609329i
$83$	1.31417	+	2.27622i	0.144249	+	0.249847i	0.929093	−	0.369847i	$-0.120590\pi$
$83$	1.31417	+	2.27622i	0.144249	+	0.249847i	−0.784843	+	0.619694i	$0.787257\pi$
$84$	−0.0376174	+	0.0651553i	−0.00410440	+	0.00710903i
$85$	7.49847	+	2.72922i	0.813323	+	0.296025i
$86$	9.11838	+	3.31882i	0.983260	+	0.357877i
$87$	12.1438	−	21.0337i	1.30195	−	2.25505i
$88$	1.08041	+	1.87132i	0.115172	+	0.199484i
$89$	1.54115	+	8.74032i	0.163362	+	0.926472i	0.950737	+	0.309998i	$0.100328\pi$
$89$	1.54115	+	8.74032i	0.163362	+	0.926472i	−0.787375	+	0.616474i	$0.788561\pi$
$90$	−5.62400	−	4.71909i	−0.592821	−	0.497436i
$91$	0.0285008	−	0.0239150i	0.00298769	−	0.00250697i
$92$	0.778059	−	4.41259i	0.0811183	−	0.460045i
$93$	13.4773	−	4.90532i	1.39753	−	0.508658i
$94$	−4.27492			−0.440924
$95$	−1.90148	+	3.92229i	−0.195088	+	0.402419i
$96$	3.21584			0.328215
$97$	−10.4812	+	3.81486i	−1.06421	+	0.387340i	−0.814008	−	0.580854i	$-0.802719\pi$
$97$	−10.4812	+	3.81486i	−1.06421	+	0.387340i	−0.250201	+	0.968194i	$0.580497\pi$
$98$	1.21544	−	6.89312i	0.122778	−	0.696310i
$99$	12.1524	−	10.1971i	1.22137	−	1.02485i
$100$	0.766044	+	0.642788i	0.0766044	+	0.0642788i
$101$	−3.23809	−	18.3641i	−0.322202	−	1.82730i	−0.528651	−	0.848840i	$-0.677302\pi$
$101$	−3.23809	−	18.3641i	−0.322202	−	1.82730i	0.206449	−	0.978457i	$-0.433809\pi$
$102$	12.8307	+	22.2234i	1.27043	+	2.20045i
$103$	−1.76795	+	3.06218i	−0.174201	+	0.301726i	−0.939885	−	0.341492i	$-0.889068\pi$
$103$	−1.76795	+	3.06218i	−0.174201	+	0.301726i	0.765683	+	0.643218i	$0.222401\pi$
$104$	−1.49439	−	0.543913i	−0.146537	−	0.0533350i
$105$	−0.0706976	−	0.0257318i	−0.00689938	−	0.00251117i
$106$	−1.89108	+	3.27545i	−0.183678	+	0.318140i
$107$	−2.79632	−	4.84336i	−0.270330	−	0.468226i	0.698616	−	0.715497i	$-0.253800\pi$
$107$	−2.79632	−	4.84336i	−0.270330	−	0.468226i	−0.968946	+	0.247271i	$0.920466\pi$
$108$	−2.42446	−	13.7498i	−0.233294	−	1.32307i
$109$	7.21936	+	6.05777i	0.691490	+	0.580229i	0.919338	−	0.393468i	$-0.128725\pi$
$109$	7.21936	+	6.05777i	0.691490	+	0.580229i	−0.227849	+	0.973697i	$0.573169\pi$
$110$	−1.65528	+	1.38895i	−0.157825	+	0.132431i
$111$	0.217301	−	1.23237i	0.0206253	−	0.116972i
$112$	0.0219842	−	0.00800160i	0.00207731	−	0.000756080i
$113$	−5.69339			−0.535589			−0.267795	−	0.963476i	$-0.586295\pi$
$113$	−5.69339			−0.535589			−0.267795	+	0.963476i	$0.586295\pi$
$114$	−12.7920	+	5.73191i	−1.19808	+	0.536843i
$115$	4.48066			0.417824
$116$	−7.09702	+	2.58310i	−0.658942	+	0.239835i
$117$	−2.02740	+	11.4979i	−0.187433	+	1.06299i
$118$	2.78333	−	2.33549i	0.256226	−	0.214999i
$119$	0.143010	+	0.119999i	0.0131097	+	0.0110003i
$120$	0.558424	+	3.16698i	0.0509769	+	0.289105i
$121$	3.16544	+	5.48269i	0.287767	+	0.498427i
$122$	−5.77089	+	9.99547i	−0.522472	+	0.904948i
$123$	16.9312	+	6.16244i	1.52663	+	0.555649i
$124$	−4.19091	−	1.52536i	−0.376354	−	0.136982i
$125$	−0.500000	+	0.866025i	−0.0447214	+	0.0774597i
$126$	−0.0858789	−	0.148747i	−0.00765070	−	0.0132514i
$127$	1.50642	+	8.54334i	0.133673	+	0.758099i	0.975774	+	0.218779i	$0.0702074\pi$
$127$	1.50642	+	8.54334i	0.133673	+	0.758099i	−0.842101	+	0.539320i	$0.818681\pi$
$128$	−0.766044	−	0.642788i	−0.0677094	−	0.0568149i
$129$	−23.9045	+	20.0583i	−2.10468	+	1.76603i
$130$	0.276152	−	1.56613i	0.0242201	−	0.137359i
$131$	−19.4945	+	7.09542i	−1.70324	+	0.619930i	−0.996188	−	0.0872292i	$-0.972199\pi$
$131$	−19.4945	+	7.09542i	−1.70324	+	0.619930i	−0.707055	+	0.707159i	$0.749977\pi$
$132$	−6.94884			−0.604818
$133$	−0.0731872	+	0.0710136i	−0.00634613	+	0.00615766i
$134$	−3.85689			−0.333185
$135$	13.1199	−	4.77525i	1.12918	−	0.410988i
$136$	1.38566	−	7.85847i	0.118819	−	0.673858i
$137$	4.57200	−	3.83636i	0.390612	−	0.327762i	−0.426240	−	0.904610i	$-0.640162\pi$
$137$	4.57200	−	3.83636i	0.390612	−	0.327762i	0.816852	+	0.576848i	$0.195717\pi$
$138$	11.0380	+	9.26198i	0.939617	+	0.788432i
$139$	−2.44517	−	13.8672i	−0.207397	−	1.17620i	−0.893624	−	0.448817i	$-0.851845\pi$
$139$	−2.44517	−	13.8672i	−0.207397	−	1.17620i	0.686227	−	0.727387i	$-0.259266\pi$
$140$	0.0116976	+	0.0202608i	0.000988624	+	0.00171235i
$141$	6.87373	−	11.9056i	0.578872	−	1.00264i
$142$	−12.0928	−	4.40141i	−1.01480	−	0.369358i
$143$	3.22910	+	1.17530i	0.270031	+	0.0982832i
$144$	−3.67080	+	6.35802i	−0.305900	+	0.529835i
$145$	−3.77625	−	6.54065i	−0.313600	−	0.543171i
$146$	0.330206	+	1.87269i	0.0273281	+	0.154985i
$147$	17.2430	+	14.4686i	1.42218	+	1.19335i
$148$	−0.298092	+	0.250129i	−0.0245030	+	0.0205605i
$149$	1.22145	−	6.92721i	0.100065	−	0.567499i	−0.893012	−	0.450034i	$-0.851412\pi$
$149$	1.22145	−	6.92721i	0.100065	−	0.567499i	0.993077	−	0.117465i	$-0.0374769\pi$
$150$	−3.02190	+	1.09988i	−0.246737	+	0.0898049i
$151$	−14.0840			−1.14614			−0.573070	−	0.819507i	$-0.694248\pi$
$151$	−14.0840			−1.14614			−0.573070	+	0.819507i	$0.694248\pi$
$152$	4.19289	+	1.19149i	0.340088	+	0.0966429i
$153$	−58.5838			−4.73622
$154$	−0.0475039	+	0.0172900i	−0.00382797	+	0.00139327i
$155$	0.774448	−	4.39211i	0.0622052	−	0.352783i
$156$	3.91765	−	3.28730i	0.313663	−	0.263195i
$157$	2.07466	+	1.74085i	0.165576	+	0.138935i	0.721811	−	0.692090i	$-0.243310\pi$
$157$	2.07466	+	1.74085i	0.165576	+	0.138935i	−0.556235	+	0.831025i	$0.687755\pi$
$158$	1.65165	+	9.36698i	0.131398	+	0.745197i
$159$	−6.08141	−	10.5333i	−0.482288	−	0.835346i
$160$	0.500000	−	0.866025i	0.0395285	−	0.0684653i
$161$	0.0985039	+	0.0358525i	0.00776319	+	0.00282557i
$162$	21.4949	+	7.82350i	1.68880	+	0.614672i
$163$	−6.89810	+	11.9479i	−0.540301	+	0.935829i	0.458585	+	0.888650i	$0.348356\pi$
$163$	−6.89810	+	11.9479i	−0.540301	+	0.935829i	−0.998886	+	0.0471785i	$0.984977\pi$
$164$	−2.80141	−	4.85219i	−0.218754	−	0.378892i
$165$	−1.20665	−	6.84327i	−0.0939378	−	0.532748i
$166$	2.01343	+	1.68947i	0.156273	+	0.131128i
$167$	18.5877	−	15.5969i	1.43836	−	1.20692i	0.497798	−	0.867293i	$-0.334142\pi$
$167$	18.5877	−	15.5969i	1.43836	−	1.20692i	0.940558	−	0.339632i	$-0.110302\pi$
$168$	−0.0130644	+	0.0740919i	−0.00100794	+	0.00571631i
$169$	9.83949	−	3.58128i	0.756884	−	0.275483i
$170$	7.97970			0.612015
$171$	3.26925	−	31.8339i	0.250006	−	2.43440i
$172$	9.70358			0.739891
$173$	18.1956	−	6.62267i	1.38339	−	0.503512i	0.460184	−	0.887823i	$-0.347783\pi$
$173$	18.1956	−	6.62267i	1.38339	−	0.503512i	0.923204	+	0.384311i	$0.125561\pi$
$174$	4.21749	−	23.9186i	0.319727	−	1.81326i
$175$	−0.0179217	+	0.0150381i	−0.00135475	+	0.00113677i
$176$	1.65528	+	1.38895i	0.124772	+	0.104696i
$177$	2.02897	+	11.5068i	0.152506	+	0.864907i
$178$	4.43758	+	7.68611i	0.332610	+	0.576098i
$179$	−4.29621	+	7.44125i	−0.321114	+	0.556185i	−0.980718	−	0.195428i	$-0.937391\pi$
$179$	−4.29621	+	7.44125i	−0.321114	+	0.556185i	0.659604	+	0.751613i	$0.270724\pi$
$180$	−6.89886	−	2.51098i	−0.514210	−	0.187157i
$181$	3.94197	+	1.43476i	0.293005	+	0.106645i	0.484340	−	0.874880i	$-0.339060\pi$
$181$	3.94197	+	1.43476i	0.293005	+	0.106645i	−0.191336	+	0.981525i	$0.561282\pi$
$182$	0.0186026	−	0.0322206i	0.00137891	−	0.00238835i
$183$	−18.5582	−	32.1438i	−1.37186	−	2.37614i
$184$	−0.778059	−	4.41259i	−0.0573593	−	0.325301i
$185$	−0.298092	−	0.250129i	−0.0219162	−	0.0183899i
$186$	10.9868	−	9.21899i	0.805589	−	0.675969i
$187$	−2.99416	+	16.9807i	−0.218955	+	1.24175i
$188$	−4.01711	+	1.46211i	−0.292978	+	0.106635i
$189$	0.326640			0.0237596
$190$	−0.445304	+	4.33609i	−0.0323058	+	0.314573i
$191$	18.8620			1.36481			0.682403	−	0.730976i	$-0.260935\pi$
$191$	18.8620			1.36481			0.682403	+	0.730976i	$0.260935\pi$
$192$	3.02190	−	1.09988i	0.218087	−	0.0793771i
$193$	−3.08999	+	17.5242i	−0.222422	+	1.26142i	0.645130	+	0.764073i	$0.276803\pi$
$193$	−3.08999	+	17.5242i	−0.222422	+	1.26142i	−0.867552	+	0.497346i	$0.834308\pi$
$194$	−8.54438	+	7.16959i	−0.613451	+	0.514747i
$195$	3.91765	+	3.28730i	0.280549	+	0.235408i
$196$	−1.21544	−	6.89312i	−0.0868173	−	0.492365i
$197$	−6.75642	−	11.7025i	−0.481375	−	0.833766i	0.518396	−	0.855140i	$-0.326529\pi$
$197$	−6.75642	−	11.7025i	−0.481375	−	0.833766i	−0.999772	+	0.0213742i	$0.993196\pi$
$198$	7.93194	−	13.7385i	0.563698	−	0.976354i
$199$	−6.59301	−	2.39966i	−0.467366	−	0.170107i	0.0975926	−	0.995226i	$-0.468886\pi$
$199$	−6.59301	−	2.39966i	−0.467366	−	0.170107i	−0.564959	+	0.825119i	$0.691108\pi$
$200$	0.939693	+	0.342020i	0.0664463	+	0.0241845i
$201$	6.20156	−	10.7414i	0.437425	−	0.757642i
$202$	−9.32370	−	16.1491i	−0.656013	−	1.13625i
$203$	−0.0306821	−	0.174007i	−0.00215346	−	0.0122129i
$204$	19.6578	+	16.4948i	1.37632	+	1.15487i
$205$	4.29201	−	3.60143i	0.299767	−	0.251535i
$206$	−0.614003	+	3.48218i	−0.0427796	+	0.242615i
$207$	−30.9114	+	11.2508i	−2.14849	+	0.781988i
$208$	−1.59029			−0.110267
$209$	−9.06007	−	2.57460i	−0.626698	−	0.178089i
$210$	−0.0752349			−0.00519170
$211$	−6.68827	+	2.43433i	−0.460440	+	0.167586i	−0.561817	−	0.827262i	$-0.689897\pi$
$211$	−6.68827	+	2.43433i	−0.460440	+	0.167586i	0.101377	+	0.994848i	$0.467675\pi$
$212$	−0.656766	+	3.72471i	−0.0451069	+	0.255814i
$213$	31.7021	−	26.6013i	2.17219	−	1.82269i
$214$	−4.28421	−	3.59488i	−0.292862	−	0.245741i
$215$	1.68501	+	9.55616i	0.114917	+	0.651725i
$216$	−6.98095	−	12.0914i	−0.474994	−	0.822713i
$217$	0.0521696	−	0.0903603i	0.00354150	−	0.00613406i
$218$	8.85586	+	3.22327i	0.599795	+	0.218307i
$219$	−5.74639	−	2.09151i	−0.388305	−	0.141331i
$220$	−1.08041	+	1.87132i	−0.0728411	+	0.126165i
$221$	−6.34504	−	10.9899i	−0.426813	−	0.739263i
$222$	−0.217301	−	1.23237i	−0.0145843	−	0.0827115i
$223$	−3.34000	−	2.80259i	−0.223663	−	0.187675i	0.524070	−	0.851675i	$-0.324413\pi$
$223$	−3.34000	−	2.80259i	−0.223663	−	0.187675i	−0.747733	+	0.664000i	$0.768858\pi$
$224$	0.0179217	−	0.0150381i	0.00119744	−	0.00100477i
$225$	1.27486	−	7.23007i	0.0849905	−	0.482005i
$226$	−5.35004	+	1.94725i	−0.355879	+	0.129529i
$227$	9.44623			0.626969			0.313484	−	0.949593i	$-0.398504\pi$
$227$	9.44623			0.626969			0.313484	+	0.949593i	$0.398504\pi$
$228$	−10.0601	+	9.76136i	−0.666249	+	0.646462i
$229$	22.8675			1.51112			0.755562	−	0.655077i	$-0.227364\pi$
$229$	22.8675			1.51112			0.755562	+	0.655077i	$0.227364\pi$
$230$	4.21045	−	1.53248i	0.277629	−	0.101049i
$231$	0.0282298	−	0.160099i	0.00185738	−	0.0105337i
$232$	−5.78554	+	4.85465i	−0.379840	+	0.318723i
$233$	−8.10215	−	6.79851i	−0.530790	−	0.445385i	0.337584	−	0.941295i	$-0.390390\pi$
$233$	−8.10215	−	6.79851i	−0.530790	−	0.445385i	−0.868374	+	0.495910i	$0.834835\pi$
$234$	2.02740	+	11.4979i	0.132535	+	0.751644i
$235$	−2.13746	−	3.70219i	−0.139433	−	0.241504i
$236$	1.81669	−	3.14660i	0.118256	−	0.204826i
$237$	−28.7427	−	10.4615i	−1.86704	−	0.679547i
$238$	0.175427	+	0.0638504i	0.0113713	+	0.00413880i
$239$	−8.67636	+	15.0279i	−0.561227	+	0.972074i	0.436163	+	0.899868i	$0.356337\pi$
$239$	−8.67636	+	15.0279i	−0.561227	+	0.972074i	−0.997390	+	0.0722058i	$0.976996\pi$
$240$	1.60792	+	2.78500i	0.103791	+	0.179771i
$241$	−0.0833347	−	0.472614i	−0.00536806	−	0.0304438i	0.982006	−	0.188849i	$-0.0604758\pi$
$241$	−0.0833347	−	0.472614i	−0.00536806	−	0.0304438i	−0.987374	+	0.158406i	$0.949365\pi$
$242$	4.84973	+	4.06940i	0.311752	+	0.261591i
$243$	−24.2641	+	20.3600i	−1.55655	+	1.30610i
$244$	−2.00421	+	11.3664i	−0.128306	+	0.727661i
$245$	6.57733	−	2.39395i	0.420210	−	0.152944i
$246$	18.0178			1.14877
$247$	6.32590	−	2.83454i	0.402508	−	0.180358i
$248$	−4.45987			−0.283202
$249$	−7.94260	+	2.89087i	−0.503342	+	0.183202i
$250$	−0.173648	+	0.984808i	−0.0109825	+	0.0622847i
$251$	4.56913	−	3.83396i	0.288401	−	0.241997i	−0.487096	−	0.873348i	$-0.661944\pi$
$251$	4.56913	−	3.83396i	0.288401	−	0.241997i	0.775497	+	0.631351i	$0.217499\pi$
$252$	−0.131574	−	0.110404i	−0.00828839	−	0.00695478i
$253$	1.68124	+	9.53480i	0.105699	+	0.599448i
$254$	4.33757	+	7.51289i	0.272163	+	0.471400i
$255$	−12.8307	+	22.2234i	−0.803490	+	1.39169i
$256$	−0.939693	−	0.342020i	−0.0587308	−	0.0213763i
$257$	12.7121	+	4.62683i	0.792959	+	0.288614i	0.706566	−	0.707648i	$-0.250244\pi$
$257$	12.7121	+	4.62683i	0.792959	+	0.288614i	0.0863936	+	0.996261i	$0.472466\pi$
$258$	−15.6026	+	27.0244i	−0.971373	+	1.68247i
$259$	−0.00455189	−	0.00788411i	−0.000282841	−	0.000489895i
$260$	−0.276152	−	1.56613i	−0.0171262	−	0.0971275i
$261$	42.4752	+	35.6409i	2.62915	+	2.20612i
$262$	−15.8921	+	13.3350i	−0.981815	+	0.823841i
$263$	−3.05915	+	17.3493i	−0.188635	+	1.06980i	0.732560	+	0.680703i	$0.238326\pi$
$263$	−3.05915	+	17.3493i	−0.188635	+	1.06980i	−0.921195	+	0.389101i	$0.872786\pi$
$264$	−6.52977	+	2.37664i	−0.401880	+	0.146272i
$265$	−3.78217			−0.232337
$266$	−0.0444853	+	0.0917624i	−0.00272757	+	0.00562632i
$267$	−28.5410			−1.74668
$268$	−3.62429	+	1.31913i	−0.221389	+	0.0805789i
$269$	−0.447725	+	2.53918i	−0.0272983	+	0.154816i	−0.995410	−	0.0957028i	$-0.969490\pi$
$269$	−0.447725	+	2.53918i	−0.0272983	+	0.154816i	0.968112	+	0.250519i	$0.0806013\pi$
$270$	10.6954	−	8.97454i	0.650904	−	0.546173i
$271$	−8.49966	−	7.13206i	−0.516318	−	0.433242i	0.347028	−	0.937855i	$-0.387191\pi$
$271$	−8.49966	−	7.13206i	−0.516318	−	0.433242i	−0.863346	+	0.504613i	$0.831635\pi$
$272$	−1.38566	−	7.85847i	−0.0840180	−	0.476490i
$273$	0.0598228	+	0.103616i	0.00362064	+	0.00627113i
$274$	2.98416	−	5.16871i	0.180280	−	0.312253i
$275$	−2.03050	−	0.739043i	−0.122444	−	0.0445660i
$276$	13.5401	+	4.92820i	0.815019	+	0.296643i
$277$	1.47762	−	2.55932i	0.0887817	−	0.153774i	−0.818215	−	0.574913i	$-0.805036\pi$
$277$	1.47762	−	2.55932i	0.0887817	−	0.153774i	0.906996	+	0.421138i	$0.138369\pi$
$278$	−7.04059	−	12.1947i	−0.422266	−	0.731387i
$279$	5.68569	+	32.2452i	0.340394	+	1.93047i
$280$	0.0179217	+	0.0150381i	0.00107103	+	0.000898698i
$281$	10.6181	−	8.90966i	0.633424	−	0.531506i	−0.268567	−	0.963261i	$-0.586550\pi$
$281$	10.6181	−	8.90966i	0.633424	−	0.531506i	0.901991	+	0.431755i	$0.142106\pi$
$282$	2.38722	−	13.5386i	0.142157	−	0.806212i
$283$	4.36045	−	1.58707i	0.259202	−	0.0943418i	−0.209151	−	0.977883i	$-0.567070\pi$
$283$	4.36045	−	1.58707i	0.259202	−	0.0943418i	0.468353	+	0.883542i	$0.344848\pi$
$284$	−12.8689			−0.763627
$285$	−11.3600	−	8.21226i	−0.672908	−	0.486452i
$286$	3.43634			0.203195
$287$	0.123174	−	0.0448316i	0.00727071	−	0.00264632i
$288$	−1.27486	+	7.23007i	−0.0751217	+	0.426036i
$289$	35.7556	−	30.0025i	2.10327	−	1.76485i
$290$	−5.78554	−	4.85465i	−0.339739	−	0.285075i
$291$	−6.22861	−	35.3242i	−0.365128	−	2.07074i
$292$	0.950791	+	1.64682i	0.0556409	+	0.0963728i
$293$	−5.93313	+	10.2765i	−0.346617	+	0.600358i	−0.985646	−	0.168824i	$-0.946003\pi$
$293$	−5.93313	+	10.2765i	−0.346617	+	0.600358i	0.639029	+	0.769182i	$0.279336\pi$
$294$	21.1516	+	7.69857i	1.23359	+	0.448989i
$295$	3.41426	+	1.24269i	0.198786	+	0.0723521i
$296$	−0.194566	+	0.336998i	−0.0113089	+	0.0195876i
$297$	15.0846	+	26.1272i	0.875295	+	1.51606i
$298$	−1.22145	−	6.92721i	−0.0707569	−	0.401282i
$299$	−5.45851	−	4.58023i	−0.315674	−	0.264882i
$300$	−2.46347	+	2.06710i	−0.142229	+	0.119344i
$301$	−0.0394210	+	0.223567i	−0.00227219	+	0.0128862i
$302$	−13.2346	+	4.81701i	−0.761567	+	0.277188i
$303$	59.9670			3.44501
$304$	4.34754	−	0.314416i	0.249349	−	0.0180330i
$305$	−11.5418			−0.660880
$306$	−55.0508	+	20.0369i	−3.14704	+	1.14543i
$307$	1.81328	−	10.2836i	0.103489	−	0.586918i	−0.888323	−	0.459218i	$-0.848130\pi$
$307$	1.81328	−	10.2836i	0.103489	−	0.586918i	0.991813	−	0.127699i	$-0.0407593\pi$
$308$	−0.0387255	+	0.0324946i	−0.00220659	+	0.00185155i
$309$	−8.71060	−	7.30906i	−0.495529	−	0.415798i
$310$	−0.774448	−	4.39211i	−0.0439857	−	0.249455i
$311$	7.33307	+	12.7012i	0.415820	+	0.720222i	0.995514	−	0.0946125i	$-0.0301612\pi$
$311$	7.33307	+	12.7012i	0.415820	+	0.720222i	−0.579694	+	0.814834i	$0.696828\pi$
$312$	2.55706	−	4.42897i	0.144765	−	0.250741i
$313$	20.1826	+	7.34588i	1.14079	+	0.415214i	0.842199	−	0.539167i	$-0.181261\pi$
$313$	20.1826	+	7.34588i	1.14079	+	0.415214i	0.298592	+	0.954381i	$0.403483\pi$
$314$	2.54495	+	0.926285i	0.143620	+	0.0522733i
$315$	0.0858789	−	0.148747i	0.00483873	−	0.00838092i
$316$	4.75574	+	8.23718i	0.267531	+	0.463378i
$317$	2.05192	+	11.6370i	0.115247	+	0.653599i	0.986628	+	0.162991i	$0.0521141\pi$
$317$	2.05192	+	11.6370i	0.115247	+	0.653599i	−0.871381	+	0.490608i	$0.836775\pi$
$318$	−9.31727	−	7.81812i	−0.522486	−	0.438418i
$319$	12.5015	−	10.4900i	0.699950	−	0.587327i
$320$	0.173648	−	0.984808i	0.00970723	−	0.0550524i
$321$	16.9004	−	6.15123i	0.943287	−	0.343328i
$322$	0.104826			0.00584170
$323$	19.5189	+	28.7898i	1.08606	+	1.60191i
$324$	22.8744			1.27080
$325$	1.49439	−	0.543913i	0.0828937	−	0.0301709i
$326$	−2.39569	+	13.5866i	−0.132685	+	0.752493i
$327$	−23.2163	+	19.4808i	−1.28386	+	1.07729i
$328$	−4.29201	−	3.60143i	−0.236987	−	0.198856i
$329$	−0.0173669	−	0.0984928i	−0.000957471	−	0.00543009i
$330$	−3.47442	−	6.01787i	−0.191260	−	0.331273i
$331$	−8.88073	+	15.3819i	−0.488129	+	0.845464i	−0.999907	−	0.0136535i	$-0.995654\pi$
$331$	−8.88073	+	15.3819i	−0.488129	+	0.845464i	0.511778	+	0.859118i	$0.328987\pi$
$332$	2.46984	+	0.898948i	0.135550	+	0.0493362i
$333$	2.68456	+	0.977102i	0.147113	+	0.0535448i
$334$	12.1322	−	21.0137i	0.663847	−	1.14982i
$335$	−1.92844	−	3.34016i	−0.105362	−	0.182493i
$336$	0.0130644	+	0.0740919i	0.000712721	+	0.00404204i
$337$	1.82756	+	1.53351i	0.0995537	+	0.0835354i	0.691206	−	0.722658i	$-0.257080\pi$
$337$	1.82756	+	1.53351i	0.0995537	+	0.0835354i	−0.591652	+	0.806193i	$0.701524\pi$
$338$	8.02122	−	6.73060i	0.436297	−	0.366097i
$339$	3.17933	−	18.0309i	0.172677	−	0.979302i
$340$	7.49847	−	2.72922i	0.406661	−	0.148013i
$341$	9.63696			0.521871
$342$	−7.81574	−	31.0322i	−0.422627	−	1.67803i
$343$	0.327519			0.0176843
$344$	9.11838	−	3.31882i	0.491630	−	0.178939i
$345$	−2.50211	+	14.1902i	−0.134709	+	0.763973i
$346$	14.8332	−	12.4465i	0.797438	−	0.669130i
$347$	11.7982	+	9.89984i	0.633359	+	0.531451i	0.901971	−	0.431797i	$-0.142120\pi$
$347$	11.7982	+	9.89984i	0.633359	+	0.531451i	−0.268612	+	0.963249i	$0.586565\pi$
$348$	−4.21749	−	23.9186i	−0.226081	−	1.28217i
$349$	−4.92259	−	8.52618i	−0.263500	−	0.456396i	0.703669	−	0.710528i	$-0.251544\pi$
$349$	−4.92259	−	8.52618i	−0.263500	−	0.456396i	−0.967170	+	0.254132i	$0.918210\pi$
$350$	−0.0116976	+	0.0202608i	−0.000625261	+	0.00108298i
$351$	−20.8645	−	7.59406i	−1.11366	−	0.405341i
$352$	2.03050	+	0.739043i	0.108226	+	0.0393911i
$353$	4.25682	−	7.37302i	0.226567	−	0.392426i	−0.730221	−	0.683211i	$-0.760583\pi$
$353$	4.25682	−	7.37302i	0.226567	−	0.392426i	0.956789	+	0.290785i	$0.0939163\pi$
$354$	5.84218	+	10.1189i	0.310508	+	0.537816i
$355$	−2.23466	−	12.6734i	−0.118603	−	0.672633i
$356$	6.79876	+	5.70484i	0.360334	+	0.302356i
$357$	−0.459896	+	0.385899i	−0.0243403	+	0.0204239i
$358$	−1.49206	+	8.46188i	−0.0788577	+	0.447224i
$359$	−29.6177	+	10.7800i	−1.56317	+	0.568946i	−0.971459	−	0.237208i	$-0.923768\pi$
$359$	−29.6177	+	10.7800i	−1.56317	+	0.568946i	−0.591706	+	0.806154i	$0.701545\pi$
$360$	−7.34161			−0.386937
$361$	−16.7333	+	8.99976i	−0.880702	+	0.473672i
$362$	4.19496			0.220482
$363$	−19.1312	+	6.96320i	−1.00413	+	0.365473i
$364$	0.00646060	−	0.0366399i	0.000338628	−	0.00192045i
$365$	−1.45670	+	1.22231i	−0.0762470	+	0.0639788i
$366$	−28.4329	−	23.8580i	−1.48621	−	1.24708i
$367$	1.21117	+	6.86889i	0.0632226	+	0.358553i	0.999964	+	0.00853004i	$0.00271523\pi$
$367$	1.21117	+	6.86889i	0.0632226	+	0.358553i	−0.936741	+	0.350023i	$0.886174\pi$
$368$	−2.24033	−	3.88037i	−0.116785	−	0.202278i
$369$	−20.5669	+	35.6229i	−1.07067	+	1.85445i
$370$	−0.365664	−	0.133091i	−0.0190100	−	0.00691907i
$371$	−0.0831479	−	0.0302634i	−0.00431683	−	0.00157120i
$372$	7.17110	−	12.4207i	0.371804	−	0.643984i
$373$	−6.02737	−	10.4397i	−0.312085	−	0.540548i	0.666728	−	0.745301i	$-0.267694\pi$
$373$	−6.02737	−	10.4397i	−0.312085	−	0.540548i	−0.978814	+	0.204753i	$0.934361\pi$
$374$	2.99416	+	16.9807i	0.154824	+	0.878052i
$375$	−2.46347	−	2.06710i	−0.127213	−	0.106745i
$376$	−3.27478	+	2.74787i	−0.168884	+	0.141710i
$377$	−2.08563	+	11.8282i	−0.107416	+	0.609184i
$378$	0.306941	−	0.111718i	0.0157874	−	0.00574613i
$379$	−6.82285			−0.350466			−0.175233	−	0.984527i	$-0.556068\pi$
$379$	−6.82285			−0.350466			−0.175233	+	0.984527i	$0.556068\pi$
$380$	1.06458	+	4.22690i	0.0546119	+	0.216835i
$381$	−27.8978			−1.42925
$382$	17.7245	−	6.45118i	0.906863	−	0.330071i
$383$	1.88011	−	10.6626i	0.0960690	−	0.544834i	−0.898346	−	0.439290i	$-0.855230\pi$
$383$	1.88011	−	10.6626i	0.0960690	−	0.544834i	0.994415	−	0.105545i	$-0.0336587\pi$
$384$	2.46347	−	2.06710i	0.125714	−	0.105486i
$385$	−0.0387255	−	0.0324946i	−0.00197363	−	0.00165608i
$386$	3.08999	+	17.5242i	0.157276	+	0.891958i
$387$	−35.6199	−	61.6955i	−1.81066	−	3.13616i
$388$	−5.57695	+	9.65956i	−0.283127	+	0.490390i
$389$	7.07236	+	2.57413i	0.358583	+	0.130513i	0.515028	−	0.857173i	$-0.327781\pi$
$389$	7.07236	+	2.57413i	0.358583	+	0.130513i	−0.156446	+	0.987687i	$0.550004\pi$
$390$	4.80571	+	1.74914i	0.243347	+	0.0885709i
$391$	17.8772	−	30.9642i	0.904088	−	1.56593i
$392$	−3.49973	−	6.06170i	−0.176763	−	0.306162i
$393$	−11.5849	−	65.7010i	−0.584379	−	3.31418i
$394$	−10.3514	−	8.68589i	−0.521498	−	0.437589i
$395$	−7.28621	+	6.11386i	−0.366609	+	0.307622i
$396$	2.75473	−	15.6229i	0.138431	−	0.785078i
$397$	4.65031	−	1.69258i	0.233393	−	0.0849479i	−0.222676	−	0.974892i	$-0.571479\pi$
$397$	4.65031	−	1.69258i	0.233393	−	0.0849479i	0.456069	+	0.889944i	$0.349257\pi$
$398$	−7.01614			−0.351687
$399$	−0.184029	−	0.271438i	−0.00921299	−	0.0135889i
$400$	1.00000			0.0500000
$401$	−18.6833	+	6.80015i	−0.932998	+	0.339583i	−0.763397	−	0.645929i	$-0.776470\pi$
$401$	−18.6833	+	6.80015i	−0.932998	+	0.339583i	−0.169601	+	0.985513i	$0.554248\pi$
$402$	2.15378	−	12.2147i	0.107421	−	0.609214i
$403$	−5.43317	+	4.55897i	−0.270646	+	0.227099i
$404$	−14.2847	−	11.9863i	−0.710692	−	0.596342i
$405$	3.97210	+	22.5269i	0.197375	+	1.11937i
$406$	−0.0883457	−	0.153019i	−0.00438452	−	0.00759422i
$407$	0.420421	−	0.728191i	0.0208395	−	0.0360951i
$408$	24.1138	+	8.77672i	1.19381	+	0.434512i
$409$	−12.1132	−	4.40884i	−0.598958	−	0.218003i	0.0247068	−	0.999695i	$-0.492135\pi$
$409$	−12.1132	−	4.40884i	−0.598958	−	0.218003i	−0.623665	+	0.781692i	$0.714357\pi$
$410$	2.80141	−	4.85219i	0.138352	−	0.239633i
$411$	9.59657	+	16.6217i	0.473364	+	0.819890i
$412$	0.614003	+	3.48218i	0.0302497	+	0.171555i
$413$	0.0651163	+	0.0546391i	0.00320416	+	0.00268861i
$414$	−25.1992	+	21.1447i	−1.23848	+	1.03920i
$415$	−0.456408	+	2.58842i	−0.0224042	+	0.127060i
$416$	−1.49439	+	0.543913i	−0.0732684	+	0.0266675i
$417$	45.2828			2.21751
$418$	−9.39425	+	0.679394i	−0.459488	+	0.0332303i
$419$	4.48425			0.219070			0.109535	−	0.993983i	$-0.465064\pi$
$419$	4.48425			0.219070			0.109535	+	0.993983i	$0.465064\pi$
$420$	−0.0706976	+	0.0257318i	−0.00344969	+	0.00125559i
$421$	−3.74698	+	21.2502i	−0.182616	+	1.03567i	0.746363	+	0.665539i	$0.231798\pi$
$421$	−3.74698	+	21.2502i	−0.182616	+	1.03567i	−0.928980	+	0.370131i	$0.879313\pi$
$422$	−5.45233	+	4.57505i	−0.265415	+	0.222710i
$423$	24.0421	+	20.1738i	1.16897	+	0.980882i
$424$	0.656766	+	3.72471i	0.0318954	+	0.180888i
$425$	3.98985	+	6.91062i	0.193536	+	0.335214i
$426$	20.6921	−	35.8398i	1.00254	−	1.73644i
$427$	−0.253737	−	0.0923527i	−0.0122792	−	0.00446926i
$428$	−5.25536	−	1.91279i	−0.254027	−	0.0924584i
$429$	−5.52535	+	9.57018i	−0.266766	+	0.462053i
$430$	4.85179	+	8.40355i	0.233974	+	0.405255i
$431$	2.06827	+	11.7298i	0.0996252	+	0.565003i	0.993232	+	0.116151i	$0.0370557\pi$
$431$	2.06827	+	11.7298i	0.0996252	+	0.565003i	−0.893606	+	0.448852i	$0.851833\pi$
$432$	−10.6954	−	8.97454i	−0.514585	−	0.431788i
$433$	16.9528	−	14.2251i	0.814701	−	0.683615i	−0.137024	−	0.990568i	$-0.543754\pi$
$433$	16.9528	−	14.2251i	0.814701	−	0.683615i	0.951725	+	0.306952i	$0.0993093\pi$
$434$	0.0181183	−	0.102754i	0.000869706	−	0.00493235i
$435$	22.8229	−	8.30684i	1.09427	−	0.398283i
$436$	9.42421			0.451338
$437$	15.8280	+	11.4422i	0.757156	+	0.547356i
$438$	−6.11518			−0.292195
$439$	6.47904	−	2.35818i	0.309228	−	0.112550i	−0.182745	−	0.983160i	$-0.558498\pi$
$439$	6.47904	−	2.35818i	0.309228	−	0.112550i	0.491973	+	0.870611i	$0.336276\pi$
$440$	−0.375222	+	2.12799i	−0.0178880	+	0.101448i
$441$	−39.3649	+	33.0311i	−1.87452	+	1.57291i
$442$	−9.72116	−	8.15702i	−0.462389	−	0.387990i
$443$	−0.268390	−	1.52212i	−0.0127516	−	0.0723180i	0.977768	−	0.209690i	$-0.0672455\pi$
$443$	−0.268390	−	1.52212i	−0.0127516	−	0.0723180i	−0.990520	+	0.137372i	$0.956134\pi$
$444$	−0.625692	−	1.08373i	−0.0296940	−	0.0514316i
$445$	−4.43758	+	7.68611i	−0.210361	+	0.364356i
$446$	−4.09711	−	1.49123i	−0.194004	−	0.0706117i
$447$	21.2562	+	7.73664i	1.00539	+	0.365931i
$448$	0.0116976	−	0.0202608i	0.000552658	−	0.000957231i
$449$	−2.95993	−	5.12674i	−0.139688	−	0.241946i	0.787691	−	0.616071i	$-0.211276\pi$
$449$	−2.95993	−	5.12674i	−0.139688	−	0.241946i	−0.927378	+	0.374125i	$0.877943\pi$
$450$	−1.27486	−	7.23007i	−0.0600973	−	0.340829i
$451$	9.27425	+	7.78202i	0.436708	+	0.366441i
$452$	−4.36139	+	3.65964i	−0.205143	+	0.172135i
$453$	7.86485	−	44.6038i	0.369523	−	2.09567i
$454$	8.87656	−	3.23080i	0.416597	−	0.151629i
$455$	0.0372051			0.00174420
$456$	−6.11485	+	12.6135i	−0.286354	+	0.590679i
$457$	29.5382			1.38174			0.690870	−	0.722979i	$-0.257228\pi$
$457$	29.5382			1.38174			0.690870	+	0.722979i	$0.257228\pi$
$458$	21.4884	−	7.82113i	1.00409	−	0.365458i
$459$	19.3465	−	109.719i	0.903015	−	5.12125i
$460$	3.43239	−	2.88011i	0.160036	−	0.134286i
$461$	23.3287	+	19.5751i	1.08652	+	0.911702i	0.996446	−	0.0842331i	$-0.0268440\pi$
$461$	23.3287	+	19.5751i	1.08652	+	0.911702i	0.0900776	+	0.995935i	$0.471288\pi$
$462$	−0.0282298	−	0.160099i	−0.00131337	−	0.00744848i
$463$	−19.4309	−	33.6554i	−0.903033	−	1.56410i	−0.823536	−	0.567263i	$-0.808002\pi$
$463$	−19.4309	−	33.6554i	−0.903033	−	1.56410i	−0.0794963	−	0.996835i	$-0.525331\pi$
$464$	−3.77625	+	6.54065i	−0.175308	+	0.303642i
$465$	13.4773	+	4.90532i	0.624993	+	0.227479i
$466$	−9.93876	−	3.61741i	−0.460404	−	0.167573i
$467$	−14.3141	+	24.7927i	−0.662377	+	1.14727i	0.317612	+	0.948221i	$0.397119\pi$
$467$	−14.3141	+	24.7927i	−0.662377	+	1.14727i	−0.979989	+	0.199050i	$0.936214\pi$
$468$	5.83766	+	10.1111i	0.269846	+	0.467387i
$469$	−0.0156687	−	0.0888615i	−0.000723513	−	0.00410324i
$470$	−3.27478	−	2.74787i	−0.151054	−	0.126750i
$471$	−6.67177	+	5.59828i	−0.307419	+	0.257955i
$472$	0.630930	−	3.57818i	0.0290409	−	0.164699i
$473$	−19.7032	+	7.17136i	−0.905952	+	0.329740i
$474$	−30.5874			−1.40492
$475$	−3.97782	+	1.78240i	−0.182515	+	0.0817822i
$476$	0.186686			0.00855674
$477$	26.0926	−	9.49693i	1.19470	−	0.434835i
$478$	−3.01327	+	17.0891i	−0.137824	+	0.781637i
$479$	−12.7889	+	10.7312i	−0.584340	+	0.490320i	−0.886369	−	0.462979i	$-0.846781\pi$
$479$	−12.7889	+	10.7312i	−0.584340	+	0.490320i	0.302029	+	0.953299i	$0.402336\pi$
$480$	2.46347	+	2.06710i	0.112442	+	0.0943498i
$481$	0.107459	+	0.609433i	0.00489973	+	0.0277877i
$482$	−0.239953	−	0.415610i	−0.0109295	−	0.0189305i
$483$	−0.168551	+	0.291939i	−0.00766934	+	0.0132837i
$484$	5.94907	+	2.16529i	0.270412	+	0.0984221i
$485$	−10.4812	−	3.81486i	−0.475929	−	0.173224i
$486$	−15.8373	+	27.4310i	−0.718394	+	1.24430i
$487$	−9.69165	−	16.7864i	−0.439171	−	0.760666i	0.558455	−	0.829535i	$-0.311394\pi$
$487$	−9.69165	−	16.7864i	−0.439171	−	0.760666i	−0.997626	+	0.0688690i	$0.978061\pi$
$488$	2.00421	+	11.3664i	0.0907263	+	0.514534i
$489$	−33.9866	−	28.5181i	−1.53693	−	1.28963i
$490$	5.36189	−	4.49916i	0.242226	−	0.203251i
$491$	6.30923	−	35.7814i	0.284731	−	1.61479i	−0.421511	−	0.906823i	$-0.638500\pi$
$491$	6.30923	−	35.7814i	0.284731	−	1.61479i	0.706243	−	0.707970i	$-0.250389\pi$
$492$	16.9312	−	6.16244i	0.763316	−	0.277824i
$493$	−60.2666			−2.71427
$494$	4.97493	−	4.82719i	0.223833	−	0.217185i
$495$	15.8639			0.713028
$496$	−4.19091	+	1.52536i	−0.188177	+	0.0684909i
$497$	0.0522800	−	0.296495i	0.00234508	−	0.0132996i
$498$	−6.47487	+	5.43306i	−0.290146	+	0.243461i
$499$	−5.94585	−	4.98916i	−0.266173	−	0.223346i	0.499926	−	0.866068i	$-0.333360\pi$
$499$	−5.94585	−	4.98916i	−0.266173	−	0.223346i	−0.766099	+	0.642722i	$0.777805\pi$
$500$	0.173648	+	0.984808i	0.00776578	+	0.0440419i
$501$	39.0153	+	67.5765i	1.74308	+	3.01909i
$502$	2.98229	−	5.16548i	0.133106	−	0.230546i
$503$	−0.597098	−	0.217326i	−0.0266233	−	0.00969008i	0.328674	−	0.944443i	$-0.393398\pi$
$503$	−0.597098	−	0.217326i	−0.0266233	−	0.00969008i	−0.355297	+	0.934753i	$0.615620\pi$
$504$	−0.161399	−	0.0587446i	−0.00718930	−	0.00261669i
$505$	9.32370	−	16.1491i	0.414899	−	0.718627i
$506$	4.84095	+	8.38477i	0.215206	+	0.372748i
$507$	5.84724	+	33.1613i	0.259685	+	1.47275i
$508$	6.64554	+	5.57627i	0.294848	+	0.247407i
$509$	20.1192	−	16.8820i	0.891767	−	0.748282i	−0.0767966	−	0.997047i	$-0.524469\pi$
$509$	20.1192	−	16.8820i	0.891767	−	0.748282i	0.968564	+	0.248765i	$0.0800248\pi$
$510$	−4.45606	+	25.2716i	−0.197318	+	1.11904i
$511$	−0.0418048	+	0.0152157i	−0.00184934	+	0.000673103i
$512$	−1.00000			−0.0441942
$513$	58.5408	+	16.6355i	2.58464	+	0.734476i
$514$	13.5279			0.596692
$515$	−3.32266	+	1.20935i	−0.146414	+	0.0532903i
$516$	−5.41871	+	30.7311i	−0.238546	+	1.35286i
$517$	7.07620	−	5.93764i	0.311211	−	0.261137i
$518$	−0.00697390	−	0.00585180i	−0.000306416	−	0.000257113i
$519$	10.8130	+	61.3235i	0.474637	+	2.69180i
$520$	−0.795147	−	1.37724i	−0.0348695	−	0.0603958i
$521$	−20.1453	+	34.8927i	−0.882583	+	1.52868i	−0.0341245	+	0.999418i	$0.510864\pi$
$521$	−20.1453	+	34.8927i	−0.882583	+	1.52868i	−0.848459	+	0.529262i	$0.822469\pi$
$522$	52.1035	+	18.9641i	2.28051	+	0.830038i
$523$	−15.7402	−	5.72897i	−0.688271	−	0.250510i	−0.0258764	−	0.999665i	$-0.508238\pi$
$523$	−15.7402	−	5.72897i	−0.688271	−	0.250510i	−0.662395	+	0.749155i	$0.730460\pi$
$524$	−10.3728	+	17.9662i	−0.453138	+	0.784859i
$525$	−0.0376174	−	0.0651553i	−0.00164176	−	0.00284361i
$526$	3.05915	+	17.3493i	0.133385	+	0.756466i
$527$	−27.2623	−	22.8758i	−1.18756	−	0.996485i
$528$	−5.32312	+	4.46663i	−0.231659	+	0.194385i
$529$	−0.507688	+	2.87924i	−0.0220734	+	0.125184i
$530$	−3.55407	+	1.29358i	−0.154379	+	0.0561894i
$531$	−26.6748			−1.15759
$532$	−0.0104179	+	0.101443i	−0.000451675	+	0.00439813i
$533$	−8.91014			−0.385941
$534$	−26.8198	+	9.76161i	−1.16061	+	0.422426i
$535$	0.971151	−	5.50767i	0.0419865	−	0.238117i
$536$	−2.95455	+	2.47916i	−0.127617	+	0.107083i
$537$	−21.1672	−	17.7614i	−0.913432	−	0.766461i
$538$	0.447725	+	2.53918i	0.0193028	+	0.109472i
$539$	7.56227	+	13.0982i	0.325730	+	0.564181i
$540$	6.98095	−	12.0914i	0.300412	−	0.520329i
$541$	−28.7784	−	10.4745i	−1.23728	−	0.450334i	−0.361196	−	0.932490i	$-0.617632\pi$
$541$	−28.7784	−	10.4745i	−1.23728	−	0.450334i	−0.876085	+	0.482156i	$0.839854\pi$
$542$	−10.4264	−	3.79489i	−0.447851	−	0.163005i
$543$	−6.74515	+	11.6830i	−0.289462	+	0.501363i
$544$	−3.98985	−	6.91062i	−0.171063	−	0.296291i
$545$	1.63650	+	9.28104i	0.0700998	+	0.397556i
$546$	0.0916539	+	0.0769067i	0.00392242	+	0.00329130i
$547$	−0.00614318	+	0.00515474i	−0.000262663	+	0.000220401i	−0.642919	−	0.765934i	$-0.722277\pi$
$547$	−0.00614318	+	0.00515474i	−0.000262663	+	0.000220401i	0.642656	+	0.766155i	$0.277832\pi$
$548$	1.03639	−	5.87764i	0.0442723	−	0.251081i
$549$	79.6251	−	28.9812i	3.39831	−	1.23689i
$550$	−2.16082			−0.0921375
$551$	3.36316	−	32.7483i	0.143275	−	1.39512i
$552$	14.4091			0.613291
$553$	−0.209102	+	0.0761070i	−0.00889194	+	0.00323640i
$554$	0.513173	−	2.91035i	0.0218026	−	0.123649i
$555$	0.958616	−	0.804375i	0.0406910	−	0.0341438i
$556$	−10.7868	−	9.05120i	−0.457462	−	0.383856i
$557$	1.16220	+	6.59116i	0.0492440	+	0.279276i	0.999480	−	0.0322555i	$-0.0102690\pi$
$557$	1.16220	+	6.59116i	0.0492440	+	0.279276i	−0.950236	+	0.311532i	$0.899158\pi$
$558$	16.3713	+	28.3559i	0.693052	+	1.20040i
$559$	7.71578	−	13.3641i	0.326343	−	0.565242i
$560$	0.0219842	+	0.00800160i	0.000929003	+	0.000338129i
$561$	−52.1056	−	18.9649i	−2.19990	−	0.800698i
$562$	6.93049	−	12.0040i	0.292345	−	0.506356i
$563$	−3.30354	−	5.72191i	−0.139228	−	0.241150i	0.787977	−	0.615705i	$-0.211129\pi$
$563$	−3.30354	−	5.72191i	−0.139228	−	0.241150i	−0.927205	+	0.374555i	$0.877795\pi$
$564$	−2.38722	−	13.5386i	−0.100520	−	0.570078i
$565$	−4.36139	−	3.65964i	−0.183485	−	0.153962i
$566$	3.55467	−	2.98272i	0.149414	−	0.125373i
$567$	−0.0929276	+	0.527019i	−0.00390259	+	0.0221327i
$568$	−12.0928	+	4.40141i	−0.507402	+	0.184679i
$569$	−18.2452			−0.764879			−0.382440	−	0.923980i	$-0.624916\pi$
$569$	−18.2452			−0.764879			−0.382440	+	0.923980i	$0.624916\pi$
$570$	−13.4837	−	3.83165i	−0.564768	−	0.160490i
$571$	−4.61851			−0.193279			−0.0966393	−	0.995319i	$-0.530809\pi$
$571$	−4.61851			−0.193279			−0.0966393	+	0.995319i	$0.530809\pi$
$572$	3.22910	−	1.17530i	0.135015	−	0.0491416i
$573$	−10.5330	+	59.7356i	−0.440022	+	2.49549i
$574$	0.100412	−	0.0842558i	0.00419112	−	0.00351677i
$575$	3.43239	+	2.88011i	0.143140	+	0.120109i
$576$	1.27486	+	7.23007i	0.0531190	+	0.301253i
$577$	20.1637	+	34.9245i	0.839424	+	1.45393i	0.890377	+	0.455224i	$0.150441\pi$
$577$	20.1637	+	34.9245i	0.839424	+	1.45393i	−0.0509529	+	0.998701i	$0.516226\pi$
$578$	23.3378	−	40.4223i	0.970725	−	1.68135i
$579$	−53.7733	−	19.5719i	−2.23474	−	0.813379i
$580$	−7.09702	−	2.58310i	−0.294688	−	0.107258i
$581$	−0.0307453	+	0.0532524i	−0.00127553	+	0.00220928i
$582$	−17.9346	−	31.0636i	−0.743412	−	1.28763i
$583$	−1.41915	−	8.04841i	−0.0587752	−	0.333331i
$584$	1.45670	+	1.22231i	0.0602785	+	0.0505797i
$585$	−8.94382	+	7.50475i	−0.369781	+	0.310283i
$586$	−2.06055	+	11.6860i	−0.0851207	+	0.482743i
$587$	−14.3315	+	5.21623i	−0.591523	+	0.215297i	−0.620399	−	0.784286i	$-0.713029\pi$
$587$	−14.3315	+	5.21623i	−0.591523	+	0.215297i	0.0288761	+	0.999583i	$0.490807\pi$
$588$	22.5091			0.928260
$589$	13.9518	−	13.5375i	0.574876	−	0.557803i
$590$	3.63338			0.149584
$591$	40.8344	−	14.8625i	1.67970	−	0.611363i
$592$	−0.0675720	+	0.383220i	−0.00277719	+	0.0157502i
$593$	−30.6860	+	25.7487i	−1.26012	+	1.05737i	−0.264456	+	0.964398i	$0.585192\pi$
$593$	−30.6860	+	25.7487i	−1.26012	+	1.05737i	−0.995669	+	0.0929726i	$0.970363\pi$
$594$	23.1109	+	19.3923i	0.948251	+	0.795677i
$595$	0.0324177	+	0.183850i	0.00132900	+	0.00753711i
$596$	−3.51704	−	6.09168i	−0.144063	−	0.249525i
$597$	11.2814	−	19.5399i	0.461716	−	0.799716i
$598$	−6.69585	−	2.43709i	−0.273814	−	0.0996600i
$599$	25.5138	+	9.28628i	1.04247	+	0.379427i	0.805815	−	0.592167i	$-0.201728\pi$
$599$	25.5138	+	9.28628i	1.04247	+	0.379427i	0.236652	+	0.971594i	$0.423950\pi$
$600$	−1.60792	+	2.78500i	−0.0656430	+	0.113697i
$601$	12.9663	+	22.4583i	0.528907	+	0.916094i	0.999432	+	0.0337070i	$0.0107313\pi$
$601$	12.9663	+	22.4583i	0.528907	+	0.916094i	−0.470525	+	0.882387i	$0.655935\pi$
$602$	0.0394210	+	0.223567i	0.00160668	+	0.00911193i
$603$	21.6911	+	18.2010i	0.883332	+	0.741203i
$604$	−10.7890	+	9.05302i	−0.438997	+	0.368362i
$605$	−1.09934	+	6.23469i	−0.0446947	+	0.253476i
$606$	56.3506	−	20.5099i	2.28908	−	0.833159i
$607$	−15.2583			−0.619316			−0.309658	−	0.950848i	$-0.600215\pi$
$607$	−15.2583			−0.619316			−0.309658	+	0.950848i	$0.600215\pi$
$608$	3.97782	−	1.78240i	0.161322	−	0.0722859i
$609$	0.568211			0.0230251
$610$	−10.8457	+	3.94752i	−0.439131	+	0.159830i
$611$	−1.18053	+	6.69510i	−0.0477590	+	0.270855i
$612$	−44.8778	+	37.6570i	−1.81408	+	1.52219i
$613$	−3.61626	−	3.03440i	−0.146059	−	0.122558i	0.566830	−	0.823835i	$-0.308169\pi$
$613$	−3.61626	−	3.03440i	−0.146059	−	0.122558i	−0.712890	+	0.701276i	$0.752614\pi$
$614$	−1.81328	−	10.2836i	−0.0731781	−	0.415013i
$615$	9.00889	+	15.6038i	0.363273	+	0.629208i
$616$	−0.0252763	+	0.0437798i	−0.00101841	+	0.00176394i
$617$	−28.4553	−	10.3569i	−1.14557	−	0.416953i	−0.301647	−	0.953420i	$-0.597537\pi$
$617$	−28.4553	−	10.3569i	−1.14557	−	0.416953i	−0.843922	+	0.536467i	$0.819759\pi$
$618$	−10.6851	−	3.88907i	−0.429819	−	0.156441i
$619$	2.84795	−	4.93279i	0.114469	−	0.198266i	−0.803099	−	0.595846i	$-0.796817\pi$
$619$	2.84795	−	4.93279i	0.114469	−	0.198266i	0.917567	+	0.397581i	$0.130150\pi$
$620$	−2.22993	−	3.86236i	−0.0895563	−	0.155116i
$621$	−10.8632	−	61.6082i	−0.435925	−	2.47225i
$622$	11.2349	+	9.42721i	0.450479	+	0.377997i
$623$	−0.159058	+	0.133465i	−0.00637252	+	0.00534718i
$624$	0.888059	−	5.03643i	0.0355508	−	0.201619i
$625$	−0.939693	+	0.342020i	−0.0375877	+	0.0136808i
$626$	21.4779			0.858430
$627$	13.2131	−	27.2554i	0.527679	−	1.08847i
$628$	2.70828			0.108072
$629$	−2.91789	+	1.06203i	−0.116344	+	0.0423457i
$630$	0.0298254	−	0.169148i	0.00118827	−	0.00673903i
$631$	−32.4485	+	27.2275i	−1.29175	+	1.08391i	−0.300246	+	0.953862i	$0.597069\pi$
$631$	−32.4485	+	27.2275i	−1.29175	+	1.08391i	−0.991508	+	0.130048i	$0.958487\pi$
$632$	7.28621	+	6.11386i	0.289830	+	0.243196i
$633$	−3.97459	−	22.5410i	−0.157976	−	0.895925i
$634$	5.90826	+	10.2334i	0.234647	+	0.406420i
$635$	−4.33757	+	7.51289i	−0.172131	+	0.298140i
$636$	−11.4293	−	4.15993i	−0.453202	−	0.164952i
$637$	−10.4599	−	3.80709i	−0.414436	−	0.150842i
$638$	8.15977	−	14.1331i	0.323049	−	0.559537i
$639$	47.2391	+	81.8206i	1.86875	+	3.23677i
$640$	−0.173648	−	0.984808i	−0.00686405	−	0.0389279i
$641$	−20.8636	−	17.5066i	−0.824062	−	0.691470i	0.129858	−	0.991533i	$-0.458548\pi$
$641$	−20.8636	−	17.5066i	−0.824062	−	0.691470i	−0.953920	+	0.300063i	$0.902992\pi$
$642$	13.7773	−	11.5605i	0.543747	−	0.456258i
$643$	−0.608700	+	3.45211i	−0.0240048	+	0.136138i	−0.994455	−	0.105164i	$-0.966463\pi$
$643$	−0.608700	+	3.45211i	−0.0240048	+	0.136138i	0.970450	+	0.241302i	$0.0775744\pi$
$644$	0.0985039	−	0.0358525i	0.00388160	−	0.00141279i
$645$	−31.2051			−1.22870
$646$	28.1884	+	20.3777i	1.10906	+	0.801750i
$647$	44.9855			1.76856			0.884280	−	0.466956i	$-0.154649\pi$
$647$	44.9855			1.76856			0.884280	+	0.466956i	$0.154649\pi$
$648$	21.4949	−	7.82350i	0.844399	−	0.307336i
$649$	−1.36332	+	7.73179i	−0.0535151	+	0.303499i
$650$	1.21824	−	1.02222i	0.0477832	−	0.0400948i
$651$	0.257037	+	0.215679i	0.0100741	+	0.00845314i
$652$	2.39569	+	13.5866i	0.0938223	+	0.532093i
$653$	−7.96033	−	13.7877i	−0.311512	−	0.539555i	0.667178	−	0.744898i	$-0.267502\pi$
$653$	−7.96033	−	13.7877i	−0.311512	−	0.539555i	−0.978690	+	0.205344i	$0.934169\pi$
$654$	−15.1534	+	26.2464i	−0.592543	+	1.02632i
$655$	−19.4945	−	7.09542i	−0.761713	−	0.277241i
$656$	−5.26493	−	1.91628i	−0.205561	−	0.0748181i
$657$	6.98034	−	12.0903i	0.272329	−	0.471687i
$658$	−0.0500061	−	0.0866132i	−0.00194944	−	0.00337653i
$659$	3.30453	+	18.7409i	0.128726	+	0.730042i	0.979025	+	0.203741i	$0.0653102\pi$
$659$	3.30453	+	18.7409i	0.128726	+	0.730042i	−0.850299	+	0.526301i	$0.823579\pi$
$660$	−5.32312	−	4.46663i	−0.207202	−	0.173863i
$661$	17.6520	−	14.8118i	0.686583	−	0.576111i	−0.231339	−	0.972873i	$-0.574311\pi$
$661$	17.6520	−	14.8118i	0.686583	−	0.576111i	0.917922	+	0.396762i	$0.129866\pi$
$662$	−3.08425	+	17.4916i	−0.119873	+	0.679831i
$663$	38.3481	−	13.9576i	1.48932	−	0.542067i
$664$	2.62835			0.102000
$665$	−0.101711	+	0.00735579i	−0.00394419	+	0.000285245i
$666$	2.85685			0.110701
$667$	−31.7994	+	11.5740i	−1.23128	+	0.448148i
$668$	4.21348	−	23.8958i	0.163025	−	0.924558i
$669$	10.7409	−	9.01268i	0.415267	−	0.348450i
$670$	−2.95455	−	2.47916i	−0.114144	−	0.0957783i
$671$	−4.33073	−	24.5608i	−0.167186	−	0.948158i
$672$	0.0376174	+	0.0651553i	0.00145112	+	0.00251342i
$673$	−5.68840	+	9.85260i	−0.219272	+	0.379790i	−0.954586	−	0.297937i	$-0.903701\pi$
$673$	−5.68840	+	9.85260i	−0.219272	+	0.379790i	0.735314	+	0.677727i	$0.237035\pi$
$674$	2.24184	+	0.815962i	0.0863523	+	0.0314297i
$675$	13.1199	+	4.77525i	0.504985	+	0.183800i
$676$	5.23548	−	9.06812i	0.201365	−	0.348774i
$677$	−20.8875	−	36.1782i	−0.802771	−	1.39044i	−0.917786	−	0.397076i	$-0.870025\pi$
$677$	−20.8875	−	36.1782i	−0.802771	−	1.39044i	0.115015	−	0.993364i	$-0.463308\pi$
$678$	−3.17933	−	18.0309i	−0.122101	−	0.692471i
$679$	−0.199897	−	0.167733i	−0.00767134	−	0.00643701i
$680$	6.11281	−	5.12925i	0.234415	−	0.196698i
$681$	−5.27501	+	29.9160i	−0.202139	+	1.14639i
$682$	9.05578	−	3.29603i	0.346764	−	0.126212i
$683$	9.65205			0.369325			0.184663	−	0.982802i	$-0.440881\pi$
$683$	9.65205			0.369325			0.184663	+	0.982802i	$0.440881\pi$
$684$	−17.9580	−	26.4876i	−0.686643	−	1.01278i
$685$	5.96832			0.228038
$686$	0.307767	−	0.112018i	0.0117506	−	0.00427687i
$687$	−12.7697	+	72.4208i	−0.487196	+	2.76303i
$688$	7.43337	−	6.23734i	0.283395	−	0.237796i
$689$	4.60757	+	3.86621i	0.175535	+	0.147291i
$690$	2.50211	+	14.1902i	0.0952537	+	0.540211i
$691$	3.58223	+	6.20461i	0.136275	+	0.236034i	0.926084	−	0.377318i	$-0.123154\pi$
$691$	3.58223	+	6.20461i	0.136275	+	0.236034i	−0.789809	+	0.613353i	$0.789820\pi$
$692$	9.68169	−	16.7692i	0.368043	−	0.637469i
$693$	0.348755	+	0.126936i	0.0132481	+	0.00482191i
$694$	14.4726	+	5.26759i	0.549372	+	0.199955i
$695$	7.04059	−	12.1947i	0.267065	−	0.462569i
$696$	−12.1438	−	21.0337i	−0.460309	−	0.797279i
$697$	−7.76361	−	44.0296i	−0.294068	−	1.66774i
$698$	−7.54185	−	6.32836i	−0.285463	−	0.239532i
$699$	26.0552	−	21.8629i	0.985498	−	0.826931i
$700$	−0.00406252	+	0.0230397i	−0.000153549	+	0.000870818i
$701$	−5.58820	+	2.03394i	−0.211063	+	0.0768208i	−0.445388	−	0.895338i	$-0.646934\pi$
$701$	−5.58820	+	2.03394i	−0.211063	+	0.0768208i	0.234325	+	0.972158i	$0.424712\pi$
$702$	−22.2035			−0.838019
$703$	−0.414263	−	1.64482i	−0.0156242	−	0.0620356i
$704$	2.16082			0.0814389
$705$	12.9184	−	4.70191i	0.486534	−	0.177084i
$706$	1.47838	−	8.38429i	0.0556394	−	0.315547i
$707$	0.334193	−	0.280421i	0.0125686	−	0.0105463i
$708$	8.95073	+	7.51056i	0.336389	+	0.282264i
$709$	6.60131	+	37.4379i	0.247918	+	1.40601i	0.813618	+	0.581400i	$0.197495\pi$
$709$	6.60131	+	37.4379i	0.247918	+	1.40601i	−0.565701	+	0.824611i	$0.691394\pi$
$710$	−6.43444	−	11.1448i	−0.241480	−	0.418256i
$711$	34.9148	−	60.4742i	1.30941	−	2.26796i
$712$	8.33992	+	3.03548i	0.312552	+	0.113759i
$713$	−18.7780	−	6.83465i	−0.703243	−	0.255959i
$714$	−0.300176	+	0.519920i	−0.0112338	+	0.0194575i
$715$	1.71817	+	2.97595i	0.0642558	+	0.111294i
$716$	1.49206	+	8.46188i	0.0557608	+	0.316235i
$717$	−42.7480	−	35.8698i	−1.59645	−	1.33958i
$718$	−24.1446	+	20.2597i	−0.901069	+	0.756087i
$719$	1.48425	−	8.41760i	0.0553532	−	0.313923i	−0.944542	−	0.328390i	$-0.893494\pi$
$719$	1.48425	−	8.41760i	0.0553532	−	0.313923i	0.999895	+	0.0144667i	$0.00460506\pi$
$720$	−6.89886	+	2.51098i	−0.257105	+	0.0935786i
$721$	−0.0827228			−0.00308076
$722$	−12.6461	+	14.1801i	−0.470639	+	0.527730i
$723$	1.54330			0.0573958
$724$	3.94197	−	1.43476i	0.146502	−	0.0533225i
$725$	1.31148	−	7.43775i	0.0487070	−	0.276231i
$726$	−15.5959	+	13.0865i	−0.578819	+	0.485687i
$727$	6.42127	+	5.38809i	0.238152	+	0.199833i	0.754050	−	0.656817i	$-0.228097\pi$
$727$	6.42127	+	5.38809i	0.238152	+	0.199833i	−0.515899	+	0.856650i	$0.672542\pi$
$728$	−0.00646060	−	0.0366399i	−0.000239446	−	0.00135796i
$729$	−16.6186	−	28.7842i	−0.615503	−	1.06608i
$730$	−0.950791	+	1.64682i	−0.0351904	+	0.0609515i
$731$	72.7620	+	26.4832i	2.69120	+	0.979516i
$732$	−34.8781	−	12.6946i	−1.28913	−	0.469205i
$733$	5.96195	−	10.3264i	0.220210	−	0.381414i	−0.734662	−	0.678433i	$-0.762659\pi$
$733$	5.96195	−	10.3264i	0.220210	−	0.381414i	0.954872	+	0.297019i	$0.0959925\pi$
$734$	3.48743	+	6.04040i	0.128723	+	0.222955i
$735$	3.90866	+	22.1671i	0.144173	+	0.817647i
$736$	−3.43239	−	2.88011i	−0.126519	−	0.106162i
$737$	6.38424	−	5.35701i	0.235166	−	0.197328i
$738$	−7.14280	+	40.5088i	−0.262930	+	1.49115i
$739$	−23.9241	+	8.70767i	−0.880063	+	0.320317i	−0.742235	−	0.670140i	$-0.766234\pi$
$739$	−23.9241	+	8.70767i	−0.880063	+	0.320317i	−0.137828	+	0.990456i	$0.544012\pi$
$740$	−0.389132			−0.0143048
$741$	5.44441	+	21.6169i	0.200005	+	0.794117i
$742$	−0.0884842			−0.00324836
$743$	−14.9949	+	5.45769i	−0.550109	+	0.200223i	−0.602095	−	0.798425i	$-0.705667\pi$
$743$	−14.9949	+	5.45769i	−0.550109	+	0.200223i	0.0519860	+	0.998648i	$0.483445\pi$
$744$	2.49050	−	14.1243i	0.0913061	−	0.517823i
$745$	5.38841	−	4.52141i	0.197416	−	0.165652i
$746$	−9.23447	−	7.74864i	−0.338098	−	0.283698i
$747$	−3.35077	−	19.0032i	−0.122598	−	0.695289i
$748$	8.62134	+	14.9326i	0.315227	+	0.545990i
$749$	0.0654201	−	0.113311i	0.00239040	−	0.00414029i
$750$	−3.02190	−	1.09988i	−0.110344	−	0.0401620i
$751$	1.48505	+	0.540514i	0.0541903	+	0.0197237i	0.368973	−	0.929440i	$-0.379709\pi$
$751$	1.48505	+	0.540514i	0.0541903	+	0.0197237i	−0.314783	+	0.949164i	$0.601932\pi$
$752$	−2.13746	+	3.70219i	−0.0779452	+	0.135005i
$753$	9.59055	+	16.6113i	0.349499	+	0.605350i
$754$	2.08563	+	11.8282i	0.0759543	+	0.430758i
$755$	−10.7890	−	9.05302i	−0.392651	−	0.329473i
$756$	0.250221	−	0.209960i	0.00910045	−	0.00763618i
$757$	−3.33882	+	18.9354i	−0.121351	+	0.688217i	0.862057	+	0.506811i	$0.169176\pi$
$757$	−3.33882	+	18.9354i	−0.121351	+	0.688217i	−0.983408	+	0.181406i	$0.941935\pi$
$758$	−6.41138	+	2.33355i	−0.232872	+	0.0847584i
$759$	−31.1354			−1.13014
$760$	2.44606	+	3.60788i	0.0887281	+	0.130871i
$761$	12.6228			0.457576			0.228788	−	0.973476i	$-0.426524\pi$
$761$	12.6228			0.457576			0.228788	+	0.973476i	$0.426524\pi$
$762$	−26.2154	+	9.54161i	−0.949683	+	0.345656i
$763$	−0.0382860	+	0.217131i	−0.00138605	+	0.00786067i
$764$	14.4491	−	12.1243i	0.522751	−	0.438640i
$765$	−44.8778	−	37.6570i	−1.62256	−	1.36149i
$766$	−1.88011	−	10.6626i	−0.0679310	−	0.385256i
$767$	−2.88907	−	5.00402i	−0.104318	−	0.180685i
$768$	1.60792	−	2.78500i	0.0580208	−	0.100495i
$769$	37.7534	+	13.7411i	1.36142	+	0.495518i	0.916494	−	0.400048i	$-0.131007\pi$
$769$	37.7534	+	13.7411i	1.36142	+	0.495518i	0.444929	+	0.895566i	$0.353229\pi$
$770$	−0.0475039	−	0.0172900i	−0.00171192	−	0.000623088i
$771$	−21.7518	+	37.6753i	−0.783373	+	1.35684i
$772$	8.89727	+	15.4105i	0.320220	+	0.554637i
$773$	4.48376	+	25.4287i	0.161270	+	0.914606i	0.952828	+	0.303512i	$0.0981592\pi$
$773$	4.48376	+	25.4287i	0.161270	+	0.914606i	−0.791558	+	0.611094i	$0.790730\pi$
$774$	−54.5729	−	45.7921i	−1.96158	−	1.64596i
$775$	3.41646	−	2.86675i	0.122723	−	0.102977i
$776$	−1.93685	+	10.9844i	−0.0695290	+	0.394319i
$777$	0.0275107	−	0.0100131i	0.000986941	−	0.000359217i
$778$	7.52625			0.269829
$779$	24.3585	−	1.76162i	0.872735	−	0.0631164i
$780$	5.11413			0.183115
$781$	26.1303	−	9.51065i	0.935016	−	0.340318i
$782$	6.20868	−	35.2112i	0.222022	−	1.25915i
$783$	−80.7772	+	67.7801i	−2.88674	+	2.42226i
$784$	−5.36189	−	4.49916i	−0.191496	−	0.160684i
$785$	0.470287	+	2.66713i	0.0167853	+	0.0951940i
$786$	−33.3573	−	57.7765i	−1.18981	−	2.06082i
$787$	12.3413	−	21.3757i	0.439919	−	0.761963i	−0.557763	−	0.830000i	$-0.688340\pi$
$787$	12.3413	−	21.3757i	0.439919	−	0.761963i	0.997683	+	0.0680373i	$0.0216737\pi$
$788$	−12.6979	−	4.62167i	−0.452345	−	0.164640i
$789$	−53.2366	−	19.3766i	−1.89527	−	0.689823i
$790$	−4.75574	+	8.23718i	−0.169202	+	0.293066i
$791$	−0.0665987	−	0.115352i	−0.00236798	−	0.00410146i
$792$	−2.75473	−	15.6229i	−0.0978852	−	0.555134i
$793$	14.0606	+	11.7983i	0.499307	+	0.418968i
$794$	3.79097	−	3.18100i	0.134537	−	0.112890i
$795$	2.11205	−	11.9780i	0.0749068	−	0.424818i
$796$	−6.59301	+	2.39966i	−0.233683	+	0.0850537i
$797$	20.6723			0.732249			0.366124	−	0.930566i	$-0.380684\pi$
$797$	20.6723			0.732249			0.366124	+	0.930566i	$0.380684\pi$
$798$	−0.265768	−	0.192127i	−0.00940809	−	0.00680121i
$799$	−34.1126			−1.20682
$800$	0.939693	−	0.342020i	0.0332232	−	0.0120922i
$801$	11.3145	−	64.1680i	0.399780	−	2.26726i
$802$	−15.2307	+	12.7801i	−0.537816	+	0.451281i
$803$	−3.14766	−	2.64120i	−0.111078	−	0.0932058i
$804$	−2.15378	−	12.2147i	−0.0759580	−	0.430779i
$805$	0.0524128	+	0.0907816i	0.00184731	+	0.00319963i
$806$	−3.54625	+	6.14229i	−0.124911	+	0.216353i
$807$	−7.79150	−	2.83587i	−0.274274	−	0.0998275i
$808$	−17.5228	−	6.37779i	−0.616451	−	0.224370i
$809$	14.2987	−	24.7661i	0.502716	−	0.870729i	−0.497279	−	0.867590i	$-0.665668\pi$
$809$	14.2987	−	24.7661i	0.502716	−	0.870729i	0.999995	−	0.00313869i	$-0.000999078\pi$
$810$	11.4372	+	19.8098i	0.401862	+	0.696045i
$811$	−2.71497	−	15.3973i	−0.0953353	−	0.540674i	−0.994644	−	0.103359i	$-0.967041\pi$
$811$	−2.71497	−	15.3973i	−0.0953353	−	0.540674i	0.899309	−	0.437314i	$-0.144070\pi$
$812$	−0.135353	−	0.113575i	−0.00474997	−	0.00398570i
$813$	27.3335	−	22.9355i	0.958628	−	0.804385i
$814$	0.146011	−	0.828068i	0.00511768	−	0.0290238i
$815$	−12.9642	+	4.71858i	−0.454116	+	0.165285i
$816$	25.6614			0.898329
$817$	−18.4512	+	38.0603i	−0.645525	+	1.33156i
$818$	−12.8906			−0.450708
$819$	−0.256673	+	0.0934212i	−0.00896887	+	0.00326440i
$820$	0.972920	−	5.51771i	0.0339759	−	0.192687i
$821$	19.8911	−	16.6906i	0.694204	−	0.582506i	−0.225914	−	0.974147i	$-0.572537\pi$
$821$	19.8911	−	16.6906i	0.694204	−	0.582506i	0.920118	+	0.391641i	$0.128092\pi$
$822$	14.7028	+	12.3371i	0.512819	+	0.430306i
$823$	−6.29176	−	35.6823i	−0.219317	−	1.24381i	−0.873256	−	0.487261i	$-0.837996\pi$
$823$	−6.29176	−	35.6823i	−0.219317	−	1.24381i	0.653939	−	0.756547i	$-0.273115\pi$
$824$	1.76795	+	3.06218i	0.0615895	+	0.106676i
$825$	3.47442	−	6.01787i	0.120964	−	0.209515i
$826$	0.0798770	+	0.0290728i	0.00277928	+	0.00101157i
$827$	16.9142	+	6.15626i	0.588164	+	0.214074i	0.618921	−	0.785453i	$-0.287570\pi$
$827$	16.9142	+	6.15626i	0.588164	+	0.214074i	−0.0307580	+	0.999527i	$0.509792\pi$
$828$	−16.4476	+	28.4881i	−0.571595	+	0.990031i
$829$	13.0982	+	22.6867i	0.454919	+	0.787943i	0.998684	−	0.0512947i	$-0.0163348\pi$
$829$	13.0982	+	22.6867i	0.454919	+	0.787943i	−0.543764	+	0.839238i	$0.683001\pi$
$830$	0.456408	+	2.58842i	0.0158422	+	0.0898453i
$831$	7.28016	+	6.10878i	0.252546	+	0.211911i
$832$	−1.21824	+	1.02222i	−0.0422348	+	0.0354392i
$833$	9.69887	−	55.0050i	0.336046	−	1.90581i
$834$	42.5519	−	15.4876i	1.47345	−	0.536292i
$835$	24.2645			0.839707
$836$	−8.59534	+	3.85144i	−0.297276	+	0.133205i
$837$	−62.2683			−2.15231
$838$	4.21382	−	1.53371i	0.145564	−	0.0529810i
$839$	0.609122	−	3.45450i	0.0210292	−	0.119263i	−0.972486	−	0.232961i	$-0.925159\pi$
$839$	0.609122	−	3.45450i	0.0210292	−	0.119263i	0.993515	+	0.113698i	$0.0362697\pi$
$840$	−0.0576332	+	0.0483600i	−0.00198854	+	0.00166858i
$841$	21.4800	+	18.0238i	0.740689	+	0.621512i
$842$	3.74698	+	21.2502i	0.129129	+	0.732329i
$843$	22.2873	+	38.6028i	0.767616	+	1.32955i
$844$	−3.55876	+	6.16395i	−0.122497	+	0.212172i
$845$	9.83949	+	3.58128i	0.338489	+	0.123200i
$846$	29.4921	+	10.7342i	1.01396	+	0.369051i
$847$	−0.0740557	+	0.128268i	−0.00254458	+	0.00440735i
$848$	1.89108	+	3.27545i	0.0649400	+	0.112479i
$849$	2.59125	+	14.6957i	0.0889316	+	0.504356i
$850$	6.11281	+	5.12925i	0.209668	+	0.175932i
$851$	−1.33565	+	1.12074i	−0.0457855	+	0.0384186i
$852$	7.18629	−	40.7555i	0.246198	−	1.39626i
$853$	−37.9556	+	13.8147i	−1.29958	+	0.473007i	−0.896858	−	0.442318i	$-0.854156\pi$
$853$	−37.9556	+	13.8147i	−1.29958	+	0.473007i	−0.402717	+	0.915325i	$0.631934\pi$
$854$	−0.270021			−0.00923993
$855$	22.9668	−	22.2847i	0.785449	−	0.762122i
$856$	−5.59263			−0.191152
$857$	15.9081	−	5.79009i	0.543412	−	0.197786i	−0.0557051	−	0.998447i	$-0.517741\pi$
$857$	15.9081	−	5.79009i	0.543412	−	0.197786i	0.599117	+	0.800662i	$0.295518\pi$
$858$	−1.91893	+	10.8828i	−0.0655113	+	0.371533i
$859$	8.61145	−	7.22586i	0.293819	−	0.246543i	−0.483947	−	0.875097i	$-0.660797\pi$
$859$	8.61145	−	7.22586i	0.293819	−	0.246543i	0.777766	+	0.628554i	$0.216353\pi$
$860$	7.43337	+	6.23734i	0.253476	+	0.212692i
$861$	0.0731975	+	0.415124i	0.00249457	+	0.0141474i
$862$	5.95535	+	10.3150i	0.202840	+	0.351329i
$863$	27.5361	−	47.6939i	0.937340	−	1.62352i	0.166932	−	0.985968i	$-0.446614\pi$
$863$	27.5361	−	47.6939i	0.937340	−	1.62352i	0.770407	−	0.637552i	$-0.220053\pi$
$864$	−13.1199	−	4.77525i	−0.446348	−	0.162457i
$865$	18.1956	+	6.62267i	0.618670	+	0.225177i
$866$	11.0652	−	19.1654i	0.376010	−	0.651268i
$867$	75.0506	+	129.991i	2.54885	+	4.41474i
$868$	−0.0181183	−	0.102754i	−0.000614975	−	0.00348770i
$869$	−15.7442	−	13.2109i	−0.534085	−	0.448150i
$870$	18.6054	−	15.6118i	0.630781	−	0.529288i
$871$	−1.06509	+	6.04041i	−0.0360891	+	0.204671i
$872$	8.85586	−	3.22327i	0.299897	−	0.109154i
$873$	81.8876			2.77147
$874$	18.7869	+	5.33868i	0.635478	+	0.180584i
$875$	−0.0233951			−0.000790899
$876$	−5.74639	+	2.09151i	−0.194153	+	0.0706657i
$877$	−3.25617	+	18.4667i	−0.109953	+	0.623575i	0.879173	+	0.476503i	$0.158096\pi$
$877$	−3.25617	+	18.4667i	−0.109953	+	0.623575i	−0.989126	+	0.147072i	$0.953015\pi$
$878$	5.28176	−	4.43192i	0.178251	−	0.149570i
$879$	−29.2322	−	24.5287i	−0.985978	−	0.827334i
$880$	0.375222	+	2.12799i	0.0126487	+	0.0717345i
$881$	−25.3287	−	43.8706i	−0.853345	−	1.47804i	−0.878172	−	0.478345i	$-0.841237\pi$
$881$	−25.3287	−	43.8706i	−0.853345	−	1.47804i	0.0248271	−	0.999692i	$-0.492096\pi$
$882$	−25.6936	+	44.5027i	−0.865149	+	1.49848i
$883$	32.0818	+	11.6768i	1.07964	+	0.392956i	0.819773	−	0.572688i	$-0.194099\pi$
$883$	32.0818	+	11.6768i	1.07964	+	0.392956i	0.259866	+	0.965645i	$0.416322\pi$
$884$	−11.9248	−	4.34026i	−0.401073	−	0.145979i
$885$	−5.84218	+	10.1189i	−0.196383	+	0.340145i
$886$	−0.772800	−	1.33853i	−0.0259627	−	0.0449687i
$887$	−6.11812	−	34.6976i	−0.205426	−	1.16503i	−0.896767	−	0.442502i	$-0.854091\pi$
$887$	−6.11812	−	34.6976i	−0.205426	−	1.16503i	0.691341	−	0.722529i	$-0.257020\pi$
$888$	−0.958616	−	0.804375i	−0.0321691	−	0.0269930i
$889$	−0.155473	+	0.130457i	−0.00521440	+	0.00437540i
$890$	−1.54115	+	8.74032i	−0.0516596	+	0.292976i
$891$	−46.4465	+	16.9052i	−1.55602	+	0.566344i
$892$	−4.36006			−0.145986
$893$	1.90364	−	18.5365i	0.0637029	−	0.620299i
$894$	22.6204			0.756540
$895$	−8.07423	+	2.93878i	−0.269892	+	0.0982326i
$896$	0.00406252	−	0.0230397i	0.000135719	−	0.000769702i
$897$	17.5537	−	14.7293i	0.586100	−	0.491796i
$898$	−4.53487	−	3.80521i	−0.151331	−	0.126981i
$899$	5.84901	+	33.1714i	0.195075	+	1.10633i
$900$	−3.67080	−	6.35802i	−0.122360	−	0.211934i
$901$	−15.0903	+	26.1371i	−0.502730	+	0.870754i
$902$	11.3766	+	4.14073i	0.378798	+	0.137871i
$903$	−0.686020	−	0.249691i	−0.0228293	−	0.00830919i
$904$	−2.84670	+	4.93062i	−0.0946797	+	0.163990i
$905$	2.09748	+	3.63294i	0.0697226	+	0.120763i
$906$	−7.86485	−	44.6038i	−0.261292	−	1.48186i
$907$	14.6698	+	12.3094i	0.487103	+	0.408728i	0.852987	−	0.521932i	$-0.174789\pi$
$907$	14.6698	+	12.3094i	0.487103	+	0.408728i	−0.365883	+	0.930661i	$0.619233\pi$
$908$	7.23624	−	6.07192i	0.240143	−	0.201504i
$909$	−23.7728	+	134.822i	−0.788493	+	4.47177i
$910$	0.0349614	−	0.0127249i	0.00115896	−	0.000421826i
$911$	24.5134			0.812164			0.406082	−	0.913837i	$-0.366895\pi$
$911$	24.5134			0.812164			0.406082	+	0.913837i	$0.366895\pi$
$912$	−1.43203	+	13.9442i	−0.0474191	+	0.461738i
$913$	−5.67938			−0.187960
$914$	27.7569	−	10.1027i	0.918115	−	0.334167i
$915$	6.44521	−	36.5526i	0.213072	−	1.20839i
$916$	17.5175	−	14.6989i	0.578794	−	0.485666i
$917$	−0.371797	−	0.311974i	−0.0122778	−	0.0103023i
$918$	−19.3465	−	109.719i	−0.638528	−	3.62127i
$919$	−14.3060	−	24.7787i	−0.471911	−	0.817374i	0.527573	−	0.849510i	$-0.323102\pi$
$919$	−14.3060	−	24.7787i	−0.471911	−	0.817374i	−0.999483	+	0.0321362i	$0.989769\pi$
$920$	2.24033	−	3.88037i	0.0738615	−	0.127932i
$921$	31.5555	+	11.4853i	1.03979	+	0.378452i
$922$	28.6168	+	10.4157i	0.942445	+	0.343022i
$923$	−10.2327	+	17.7235i	−0.336812	+	0.583375i
$924$	−0.0812844	−	0.140789i	−0.00267406	−	0.00463161i
$925$	−0.0675720	−	0.383220i	−0.00222176	−	0.0126002i
$926$	−29.7699	−	24.9799i	−0.978301	−	0.820892i
$927$	19.8859	−	16.6862i	0.653139	−	0.548048i
$928$	−1.31148	+	7.43775i	−0.0430513	+	0.244156i
$929$	−3.68171	+	1.34003i	−0.120793	+	0.0439650i	−0.401709	−	0.915767i	$-0.631584\pi$
$929$	−3.68171	+	1.34003i	−0.120793	+	0.0439650i	0.280917	+	0.959732i	$0.409362\pi$
$930$	14.3422			0.470300
$931$	29.3479	+	8.33980i	0.961840	+	0.273326i
$932$	−10.5766			−0.346448
$933$	−44.3196	+	16.1310i	−1.45096	+	0.528106i
$934$	−4.97123	+	28.1933i	−0.162664	+	0.922512i
$935$	−13.2087	+	11.0834i	−0.431969	+	0.362465i
$936$	8.94382	+	7.50475i	0.292338	+	0.245300i
$937$	−7.63564	−	43.3039i	−0.249446	−	1.41468i	−0.809937	−	0.586516i	$-0.800499\pi$
$937$	−7.63564	−	43.3039i	−0.249446	−	1.41468i	0.560492	−	0.828160i	$-0.310612\pi$
$938$	−0.0451162	−	0.0781435i	−0.00147310	−	0.00255148i
$939$	−34.5347	+	59.8159i	−1.12700	+	1.95202i
$940$	−4.01711	−	1.46211i	−0.131024	−	0.0476887i
$941$	5.71790	+	2.08115i	0.186398	+	0.0678434i	0.433533	−	0.901138i	$-0.357267\pi$
$941$	5.71790	+	2.08115i	0.186398	+	0.0678434i	−0.247135	+	0.968981i	$0.579489\pi$
$942$	−4.35469	+	7.54254i	−0.141883	+	0.245749i
$943$	−12.5522	−	21.7410i	−0.408755	−	0.707985i
$944$	−0.630930	−	3.57818i	−0.0205350	−	0.116460i
$945$	0.250221	+	0.209960i	0.00813969	+	0.00683001i
$946$	−16.0622	+	13.4778i	−0.522226	+	0.438199i
$947$	−1.60281	+	9.09001i	−0.0520845	+	0.295386i	−0.999712	−	0.0239914i	$-0.992363\pi$
$947$	−1.60281	+	9.09001i	−0.0520845	+	0.295386i	0.947628	+	0.319377i	$0.103474\pi$
$948$	−28.7427	+	10.4615i	−0.933520	+	0.339774i
$949$	3.02408			0.0981657
$950$	−3.12831	+	3.03540i	−0.101496	+	0.0984815i
$951$	−38.0000			−1.23223
$952$	0.175427	−	0.0638504i	0.00568564	−	0.00206940i
$953$	−5.36804	+	30.4437i	−0.173888	+	0.986167i	0.765532	+	0.643398i	$0.222476\pi$
$953$	−5.36804	+	30.4437i	−0.173888	+	0.986167i	−0.939420	+	0.342769i	$0.888635\pi$
$954$	21.2709	−	17.8484i	0.688671	−	0.577863i
$955$	14.4491	+	12.1243i	0.467563	+	0.392332i
$956$	3.01327	+	17.0891i	0.0974560	+	0.552701i
$957$	26.2405	+	45.4499i	0.848235	+	1.46919i
$958$	−8.34737	+	14.4581i	−0.269691	+	0.467119i
$959$	0.131209	+	0.0477561i	0.00423695	+	0.00154212i
$960$	3.02190	+	1.09988i	0.0975314	+	0.0354985i
$961$	5.55479	−	9.62118i	0.179187	−	0.310360i
$962$	0.309417	+	0.535926i	0.00997601	+	0.0172790i
$963$	7.12981	+	40.4352i	0.229755	+	1.30300i
$964$	−0.367629	−	0.308477i	−0.0118405	−	0.00993538i
$965$	−13.6314	+	11.4381i	−0.438810	+	0.368206i
$966$	−0.0585372	+	0.331981i	−0.00188340	+	0.0106813i
$967$	23.8796	−	8.69145i	0.767915	−	0.279498i	0.0717907	−	0.997420i	$-0.477129\pi$
$967$	23.8796	−	8.69145i	0.767915	−	0.279498i	0.696124	+	0.717922i	$0.254906\pi$
$968$	6.33087			0.203482
$969$	−102.076	+	45.7390i	−3.27917	+	1.46935i
$970$	−11.1539			−0.358130
$971$	50.9775	−	18.5543i	1.63595	−	0.595436i	0.649623	−	0.760256i	$-0.274927\pi$
$971$	50.9775	−	18.5543i	1.63595	−	0.595436i	0.986324	+	0.164820i	$0.0527044\pi$
$972$	−5.50023	+	31.1934i	−0.176420	+	1.00053i
$973$	0.252358	−	0.211754i	0.00809024	−	0.00678852i
$974$	−14.8485	−	12.4593i	−0.475776	−	0.399223i
$975$	0.888059	+	5.03643i	0.0284407	+	0.161295i
$976$	5.77089	+	9.99547i	0.184722	+	0.319947i
$977$	−19.6132	+	33.9710i	−0.627481	+	1.08683i	0.360574	+	0.932731i	$0.382581\pi$
$977$	−19.6132	+	33.9710i	−0.627481	+	1.08683i	−0.988055	+	0.154099i	$0.950753\pi$
$978$	−41.6907	−	15.1742i	−1.33312	−	0.485217i
$979$	−18.0210	−	6.55912i	−0.575955	−	0.209630i
$980$	3.49973	−	6.06170i	0.111795	−	0.193634i
$981$	−34.5944	−	59.9193i	−1.10452	−	1.91308i
$982$	−6.30923	−	35.7814i	−0.201336	−	1.14183i
$983$	−3.62947	−	3.04549i	−0.115762	−	0.0971359i	0.583069	−	0.812423i	$-0.301852\pi$
$983$	−3.62947	−	3.04549i	−0.115762	−	0.0971359i	−0.698831	+	0.715287i	$0.746296\pi$
$984$	13.8024	−	11.5816i	0.440005	−	0.369208i
$985$	2.34648	−	13.3076i	0.0747651	−	0.424014i
$986$	−56.6321	+	20.6124i	−1.80353	+	0.656432i
$987$	0.321623			0.0102374
$988$	3.02391	−	6.23760i	0.0962035	−	0.198444i
$989$	43.4785			1.38253
$990$	14.9072	−	5.42576i	0.473781	−	0.172442i
$991$	−4.17962	+	23.7038i	−0.132770	+	0.752976i	0.843617	+	0.536946i	$0.180422\pi$
$991$	−4.17962	+	23.7038i	−0.132770	+	0.752976i	−0.976387	+	0.216030i	$0.930689\pi$
$992$	−3.41646	+	2.86675i	−0.108473	+	0.0910193i
$993$	−43.7549	−	36.7147i	−1.38852	−	1.16511i
$994$	−0.0522800	−	0.296495i	−0.00165822	−	0.00940425i
$995$	−3.50807	−	6.07615i	−0.111213	−	0.192627i
$996$	−4.22617	+	7.31994i	−0.133911	+	0.231941i
$997$	−13.3716	−	4.86686i	−0.423483	−	0.154135i	0.121483	−	0.992594i	$-0.461235\pi$
$997$	−13.3716	−	4.86686i	−0.423483	−	0.154135i	−0.544966	+	0.838458i	$0.683457\pi$
$998$	−7.29367	−	2.65468i	−0.230877	−	0.0840323i
$999$	−2.71651	+	4.70514i	−0.0859466	+	0.148864i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	190.2.k.d.81.1	yes	18
5.2	odd	4		950.2.u.g.499.6		36
5.3	odd	4		950.2.u.g.499.1		36
5.4	even	2		950.2.l.i.651.3		18
19.2	odd	18		3610.2.a.bj.1.9		9
19.4	even	9	inner	190.2.k.d.61.1	✓	18
19.17	even	9		3610.2.a.bi.1.1		9
95.4	even	18		950.2.l.i.251.3		18
95.23	odd	36		950.2.u.g.99.6		36
95.42	odd	36		950.2.u.g.99.1		36

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
190.2.k.d.61.1	✓	18	19.4	even	9	inner
190.2.k.d.81.1	yes	18	1.1	even	1	trivial
950.2.l.i.251.3		18	95.4	even	18
950.2.l.i.651.3		18	5.4	even	2
950.2.u.g.99.1		36	95.42	odd	36
950.2.u.g.99.6		36	95.23	odd	36
950.2.u.g.499.1		36	5.3	odd	4
950.2.u.g.499.6		36	5.2	odd	4
3610.2.a.bi.1.1		9	19.17	even	9
3610.2.a.bj.1.9		9	19.2	odd	18

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:	\( N \)	\(=\)	\( 190 = 2 \cdot 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	190.k (of order \(9\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.939693 - 0.342020i) q^{2} +(-0.558424 + 3.16698i) q^{3} +(0.766044 - 0.642788i) q^{4} +(0.766044 + 0.642788i) q^{5} +(0.558424 + 3.16698i) q^{6} +(0.0116976 + 0.0202608i) q^{7} +(0.500000 - 0.866025i) q^{8} +(-6.89886 - 2.51098i) q^{9} +O(q^{10})\)	\(q+(0.939693 - 0.342020i) q^{2} +(-0.558424 + 3.16698i) q^{3} +(0.766044 - 0.642788i) q^{4} +(0.766044 + 0.642788i) q^{5} +(0.558424 + 3.16698i) q^{6} +(0.0116976 + 0.0202608i) q^{7} +(0.500000 - 0.866025i) q^{8} +(-6.89886 - 2.51098i) q^{9} +(0.939693 + 0.342020i) q^{10} +(-1.08041 + 1.87132i) q^{11} +(1.60792 + 2.78500i) q^{12} +(-0.276152 - 1.56613i) q^{13} +(0.0179217 + 0.0150381i) q^{14} +(-2.46347 + 2.06710i) q^{15} +(0.173648 - 0.984808i) q^{16} +(7.49847 - 2.72922i) q^{17} -7.34161 q^{18} +(1.06458 + 4.22690i) q^{19} +1.00000 q^{20} +(-0.0706976 + 0.0257318i) q^{21} +(-0.375222 + 2.12799i) q^{22} +(3.43239 - 2.88011i) q^{23} +(2.46347 + 2.06710i) q^{24} +(0.173648 + 0.984808i) q^{25} +(-0.795147 - 1.37724i) q^{26} +(6.98095 - 12.0914i) q^{27} +(0.0219842 + 0.00800160i) q^{28} +(-7.09702 - 2.58310i) q^{29} +(-1.60792 + 2.78500i) q^{30} +(-2.22993 - 3.86236i) q^{31} +(-0.173648 - 0.984808i) q^{32} +(-5.32312 - 4.46663i) q^{33} +(6.11281 - 5.12925i) q^{34} +(-0.00406252 + 0.0230397i) q^{35} +(-6.89886 + 2.51098i) q^{36} -0.389132 q^{37} +(2.44606 + 3.60788i) q^{38} +5.11413 q^{39} +(0.939693 - 0.342020i) q^{40} +(0.972920 - 5.51771i) q^{41} +(-0.0576332 + 0.0483600i) q^{42} +(7.43337 + 6.23734i) q^{43} +(0.375222 + 2.12799i) q^{44} +(-3.67080 - 6.35802i) q^{45} +(2.24033 - 3.88037i) q^{46} +(-4.01711 - 1.46211i) q^{47} +(3.02190 + 1.09988i) q^{48} +(3.49973 - 6.06170i) q^{49} +(0.500000 + 0.866025i) q^{50} +(4.45606 + 25.2716i) q^{51} +(-1.21824 - 1.02222i) q^{52} +(-2.89731 + 2.43113i) q^{53} +(2.42446 - 13.7498i) q^{54} +(-2.03050 + 0.739043i) q^{55} +0.0233951 q^{56} +(-13.9810 + 1.01111i) q^{57} -7.55249 q^{58} +(3.41426 - 1.24269i) q^{59} +(-0.558424 + 3.16698i) q^{60} +(-8.84152 + 7.41891i) q^{61} +(-3.41646 - 2.86675i) q^{62} +(-0.0298254 - 0.169148i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(0.795147 - 1.37724i) q^{65} +(-6.52977 - 2.37664i) q^{66} +(-3.62429 - 1.31913i) q^{67} +(3.98985 - 6.91062i) q^{68} +(7.20454 + 12.4786i) q^{69} +(0.00406252 + 0.0230397i) q^{70} +(-9.85813 - 8.27195i) q^{71} +(-5.62400 + 4.71909i) q^{72} +(-0.330206 + 1.87269i) q^{73} +(-0.365664 + 0.133091i) q^{74} -3.21584 q^{75} +(3.53251 + 2.55369i) q^{76} -0.0505526 q^{77} +(4.80571 - 1.74914i) q^{78} +(-1.65165 + 9.36698i) q^{79} +(0.766044 - 0.642788i) q^{80} +(17.5228 + 14.7034i) q^{81} +(-0.972920 - 5.51771i) q^{82} +(1.31417 + 2.27622i) q^{83} +(-0.0376174 + 0.0651553i) q^{84} +(7.49847 + 2.72922i) q^{85} +(9.11838 + 3.31882i) q^{86} +(12.1438 - 21.0337i) q^{87} +(1.08041 + 1.87132i) q^{88} +(1.54115 + 8.74032i) q^{89} +(-5.62400 - 4.71909i) q^{90} +(0.0285008 - 0.0239150i) q^{91} +(0.778059 - 4.41259i) q^{92} +(13.4773 - 4.90532i) q^{93} -4.27492 q^{94} +(-1.90148 + 3.92229i) q^{95} +3.21584 q^{96} +(-10.4812 + 3.81486i) q^{97} +(1.21544 - 6.89312i) q^{98} +(12.1524 - 10.1971i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 18 q + 9 q^{8} - 18 q^{9}+O(q^{10}) \) 18 * q + 9 * q^8 - 18 * q^9	\( 18 q + 9 q^{8} - 18 q^{9} - 12 q^{11} - 6 q^{13} + 6 q^{14} - 42 q^{18} + 18 q^{20} + 12 q^{21} - 3 q^{22} + 9 q^{23} - 9 q^{26} - 18 q^{27} + 3 q^{28} - 6 q^{29} - 6 q^{31} + 66 q^{33} + 18 q^{34} + 3 q^{35} - 18 q^{36} - 12 q^{37} - 6 q^{38} + 48 q^{39} - 21 q^{41} + 42 q^{42} + 18 q^{43} + 3 q^{44} - 21 q^{45} + 18 q^{46} - 54 q^{47} - 39 q^{49} + 9 q^{50} + 42 q^{51} + 12 q^{52} - 24 q^{53} - 54 q^{54} - 6 q^{55} - 18 q^{57} - 30 q^{59} + 48 q^{61} - 30 q^{62} - 57 q^{63} - 9 q^{64} + 9 q^{65} + 24 q^{66} - 6 q^{67} - 6 q^{68} - 30 q^{69} - 3 q^{70} + 30 q^{71} + 6 q^{73} - 3 q^{74} - 21 q^{76} + 30 q^{77} - 24 q^{78} + 30 q^{79} + 18 q^{81} + 21 q^{82} + 6 q^{83} + 6 q^{84} + 36 q^{86} + 24 q^{87} + 12 q^{88} + 30 q^{89} - 60 q^{91} - 18 q^{92} - 12 q^{93} + 6 q^{94} - 12 q^{95} - 12 q^{97} - 18 q^{98} + 171 q^{99}+O(q^{100}) \) 18 * q + 9 * q^8 - 18 * q^9 - 12 * q^11 - 6 * q^13 + 6 * q^14 - 42 * q^18 + 18 * q^20 + 12 * q^21 - 3 * q^22 + 9 * q^23 - 9 * q^26 - 18 * q^27 + 3 * q^28 - 6 * q^29 - 6 * q^31 + 66 * q^33 + 18 * q^34 + 3 * q^35 - 18 * q^36 - 12 * q^37 - 6 * q^38 + 48 * q^39 - 21 * q^41 + 42 * q^42 + 18 * q^43 + 3 * q^44 - 21 * q^45 + 18 * q^46 - 54 * q^47 - 39 * q^49 + 9 * q^50 + 42 * q^51 + 12 * q^52 - 24 * q^53 - 54 * q^54 - 6 * q^55 - 18 * q^57 - 30 * q^59 + 48 * q^61 - 30 * q^62 - 57 * q^63 - 9 * q^64 + 9 * q^65 + 24 * q^66 - 6 * q^67 - 6 * q^68 - 30 * q^69 - 3 * q^70 + 30 * q^71 + 6 * q^73 - 3 * q^74 - 21 * q^76 + 30 * q^77 - 24 * q^78 + 30 * q^79 + 18 * q^81 + 21 * q^82 + 6 * q^83 + 6 * q^84 + 36 * q^86 + 24 * q^87 + 12 * q^88 + 30 * q^89 - 60 * q^91 - 18 * q^92 - 12 * q^93 + 6 * q^94 - 12 * q^95 - 12 * q^97 - 18 * q^98 + 171 * q^99

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