LMFDB - Embedded newform 462.2.w.a.365.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [462,2,Mod(29,462)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(462, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 0, 7]))

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

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

chi := DirichletCharacter("462.29");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 462 = 2 \cdot 3 \cdot 7 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	462.w (of order $10$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$3.68908857338$
Analytic rank:	$0$
Dimension:	$48$
Relative dimension:	$12$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			365.3
Character	$\chi$	$=$	462.365
Dual form			462.2.w.a.281.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.309017 - 0.951057i) q^{2} +(-1.58652 + 0.694938i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-1.45024 + 0.471210i) q^{5} +(0.170662 + 1.72362i) q^{6} +(0.587785 - 0.809017i) q^{7} +(-0.809017 + 0.587785i) q^{8} +(2.03412 - 2.20507i) q^{9} +O(q^{10})$	\(q+(0.309017 - 0.951057i) q^{2} +(-1.58652 + 0.694938i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-1.45024 + 0.471210i) q^{5} +(0.170662 + 1.72362i) q^{6} +(0.587785 - 0.809017i) q^{7} +(-0.809017 + 0.587785i) q^{8} +(2.03412 - 2.20507i) q^{9} +1.52487i q^{10} +(-3.21462 + 0.816229i) q^{11} +(1.69200 + 0.370319i) q^{12} +(3.83706 + 1.24674i) q^{13} +(-0.587785 - 0.809017i) q^{14} +(1.97337 - 1.75541i) q^{15} +(0.309017 + 0.951057i) q^{16} +(1.92685 + 5.93024i) q^{17} +(-1.46857 - 2.61597i) q^{18} +(4.38777 + 6.03924i) q^{19} +(1.45024 + 0.471210i) q^{20} +(-0.370319 + 1.69200i) q^{21} +(-0.217092 + 3.30951i) q^{22} +0.184469i q^{23} +(0.875051 - 1.49475i) q^{24} +(-2.16394 + 1.57219i) q^{25} +(2.37143 - 3.26400i) q^{26} +(-1.69480 + 4.91199i) q^{27} +(-0.951057 + 0.309017i) q^{28} +(2.12085 + 1.54089i) q^{29} +(-1.05969 - 2.41924i) q^{30} +(0.712142 - 2.19175i) q^{31} +1.00000 q^{32} +(4.53284 - 3.52893i) q^{33} +6.23543 q^{34} +(-0.471210 + 1.45024i) q^{35} +(-2.94175 + 0.588315i) q^{36} +(3.41434 + 2.48066i) q^{37} +(7.09956 - 2.30679i) q^{38} +(-6.95399 + 0.688540i) q^{39} +(0.896295 - 1.23364i) q^{40} +(2.03409 - 1.47785i) q^{41} +(1.49475 + 0.875051i) q^{42} +3.14871i q^{43} +(3.08045 + 1.22916i) q^{44} +(-1.91090 + 4.15638i) q^{45} +(0.175441 + 0.0570041i) q^{46} +(-6.08281 - 8.37227i) q^{47} +(-1.15119 - 1.29413i) q^{48} +(-0.309017 - 0.951057i) q^{49} +(0.826551 + 2.54386i) q^{50} +(-7.17815 - 8.06944i) q^{51} +(-2.37143 - 3.26400i) q^{52} +(1.46825 + 0.477064i) q^{53} +(4.14786 + 3.12974i) q^{54} +(4.27734 - 2.69849i) q^{55} +1.00000i q^{56} +(-11.1582 - 6.53218i) q^{57} +(2.12085 - 1.54089i) q^{58} +(-3.34729 + 4.60715i) q^{59} +(-2.62830 + 0.260238i) q^{60} +(6.79228 - 2.20694i) q^{61} +(-1.86441 - 1.35457i) q^{62} +(-0.588315 - 2.94175i) q^{63} +(0.309017 - 0.951057i) q^{64} -6.15211 q^{65} +(-1.95548 - 5.40149i) q^{66} -0.875948 q^{67} +(1.92685 - 5.93024i) q^{68} +(-0.128195 - 0.292665i) q^{69} +(1.23364 + 0.896295i) q^{70} +(-5.30866 + 1.72489i) q^{71} +(-0.349530 + 2.97957i) q^{72} +(-4.87284 + 6.70690i) q^{73} +(3.41434 - 2.48066i) q^{74} +(2.34057 - 3.99813i) q^{75} -7.46492i q^{76} +(-1.22916 + 3.08045i) q^{77} +(-1.49406 + 6.82641i) q^{78} +(-9.19500 - 2.98764i) q^{79} +(-0.896295 - 1.23364i) q^{80} +(-0.724695 - 8.97078i) q^{81} +(-0.776953 - 2.39122i) q^{82} +(1.95684 + 6.02252i) q^{83} +(1.29413 - 1.15119i) q^{84} +(-5.58878 - 7.69230i) q^{85} +(2.99460 + 0.973006i) q^{86} +(-4.43560 - 0.970797i) q^{87} +(2.12091 - 2.54985i) q^{88} +17.2905i q^{89} +(3.36245 + 3.10177i) q^{90} +(3.26400 - 2.37143i) q^{91} +(0.108428 - 0.149239i) q^{92} +(0.393298 + 3.97216i) q^{93} +(-9.84219 + 3.19792i) q^{94} +(-9.20905 - 6.69077i) q^{95} +(-1.58652 + 0.694938i) q^{96} +(4.34513 - 13.3729i) q^{97} -1.00000 q^{98} +(-4.73908 + 8.74878i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 48 q - 12 q^{2} - 4 q^{3} - 12 q^{4} + 6 q^{6} - 12 q^{8} + 10 q^{9}+O(q^{10}) $ 48 * q - 12 * q^2 - 4 * q^3 - 12 * q^4 + 6 * q^6 - 12 * q^8 + 10 * q^9	$ 48 q - 12 q^{2} - 4 q^{3} - 12 q^{4} + 6 q^{6} - 12 q^{8} + 10 q^{9} - 8 q^{11} + 6 q^{12} + 36 q^{15} - 12 q^{16} - 24 q^{17} + 30 q^{19} - 8 q^{22} - 4 q^{24} + 18 q^{25} - 20 q^{26} - 22 q^{27} + 8 q^{29} - 24 q^{30} - 32 q^{31} + 48 q^{32} - 14 q^{33} - 4 q^{34} + 6 q^{35} - 10 q^{36} - 20 q^{37} + 20 q^{38} - 6 q^{39} + 22 q^{44} + 12 q^{45} + 20 q^{46} + 20 q^{47} - 4 q^{48} + 12 q^{49} + 28 q^{50} + 8 q^{51} + 20 q^{52} + 20 q^{53} + 18 q^{54} + 16 q^{55} - 2 q^{57} + 8 q^{58} + 30 q^{59} - 4 q^{60} - 20 q^{61} + 8 q^{62} + 4 q^{63} - 12 q^{64} - 14 q^{66} + 36 q^{67} - 24 q^{68} - 70 q^{69} - 4 q^{70} + 10 q^{72} - 20 q^{73} - 20 q^{74} - 30 q^{75} - 16 q^{77} - 16 q^{78} - 20 q^{79} + 26 q^{81} - 10 q^{82} - 46 q^{83} - 10 q^{84} + 10 q^{85} - 30 q^{86} + 8 q^{87} - 8 q^{88} - 38 q^{90} - 36 q^{91} + 10 q^{92} - 36 q^{93} + 50 q^{95} - 4 q^{96} - 2 q^{97} - 48 q^{98} + 70 q^{99}+O(q^{100}) $ 48 * q - 12 * q^2 - 4 * q^3 - 12 * q^4 + 6 * q^6 - 12 * q^8 + 10 * q^9 - 8 * q^11 + 6 * q^12 + 36 * q^15 - 12 * q^16 - 24 * q^17 + 30 * q^19 - 8 * q^22 - 4 * q^24 + 18 * q^25 - 20 * q^26 - 22 * q^27 + 8 * q^29 - 24 * q^30 - 32 * q^31 + 48 * q^32 - 14 * q^33 - 4 * q^34 + 6 * q^35 - 10 * q^36 - 20 * q^37 + 20 * q^38 - 6 * q^39 + 22 * q^44 + 12 * q^45 + 20 * q^46 + 20 * q^47 - 4 * q^48 + 12 * q^49 + 28 * q^50 + 8 * q^51 + 20 * q^52 + 20 * q^53 + 18 * q^54 + 16 * q^55 - 2 * q^57 + 8 * q^58 + 30 * q^59 - 4 * q^60 - 20 * q^61 + 8 * q^62 + 4 * q^63 - 12 * q^64 - 14 * q^66 + 36 * q^67 - 24 * q^68 - 70 * q^69 - 4 * q^70 + 10 * q^72 - 20 * q^73 - 20 * q^74 - 30 * q^75 - 16 * q^77 - 16 * q^78 - 20 * q^79 + 26 * q^81 - 10 * q^82 - 46 * q^83 - 10 * q^84 + 10 * q^85 - 30 * q^86 + 8 * q^87 - 8 * q^88 - 38 * q^90 - 36 * q^91 + 10 * q^92 - 36 * q^93 + 50 * q^95 - 4 * q^96 - 2 * q^97 - 48 * q^98 + 70 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/462\mathbb{Z}\right)^\times$.

$n$	$155$	$199$	$211$
$\chi(n)$	$-1$	$1$	$e\left(\frac{1}{10}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	0.309017	−	0.951057i	0.218508	−	0.672499i
$2$	0.309017	−	0.951057i	0.218508	−	0.672499i
$3$	−1.58652	+	0.694938i	−0.915981	+	0.401223i
$3$	−1.58652	+	0.694938i	−0.915981	+	0.401223i
$4$	−0.809017	−	0.587785i	−0.404508	−	0.293893i
$5$	−1.45024	+	0.471210i	−0.648565	+	0.210732i	−0.614781	−	0.788697i	$-0.710756\pi$
$5$	−1.45024	+	0.471210i	−0.648565	+	0.210732i	−0.0337839	+	0.999429i	$0.510756\pi$
$6$	0.170662	+	1.72362i	0.0696726	+	0.703666i
$7$	0.587785	−	0.809017i	0.222162	−	0.305780i
$7$	0.587785	−	0.809017i	0.222162	−	0.305780i
$8$	−0.809017	+	0.587785i	−0.286031	+	0.207813i
$9$	2.03412	−	2.20507i	0.678041	−	0.735024i
$10$			1.52487i			0.482206i
$11$	−3.21462	+	0.816229i	−0.969244	+	0.246102i
$11$	−3.21462	+	0.816229i	−0.969244	+	0.246102i
$12$	1.69200	+	0.370319i	0.488438	+	0.106902i
$13$	3.83706	+	1.24674i	1.06421	+	0.345782i	0.788229	−	0.615382i	$-0.210998\pi$
$13$	3.83706	+	1.24674i	1.06421	+	0.345782i	0.275979	+	0.961164i	$0.410998\pi$
$14$	−0.587785	−	0.809017i	−0.157092	−	0.216219i
$15$	1.97337	−	1.75541i	0.509523	−	0.453245i
$16$	0.309017	+	0.951057i	0.0772542	+	0.237764i
$17$	1.92685	+	5.93024i	0.467330	+	1.43830i	0.856028	+	0.516930i	$0.172925\pi$
$17$	1.92685	+	5.93024i	0.467330	+	1.43830i	−0.388697	+	0.921366i	$0.627075\pi$
$18$	−1.46857	−	2.61597i	−0.346145	−	0.616590i
$19$	4.38777	+	6.03924i	1.00662	+	1.38550i	0.921172	+	0.389155i	$0.127233\pi$
$19$	4.38777	+	6.03924i	1.00662	+	1.38550i	0.0854505	+	0.996342i	$0.472767\pi$
$20$	1.45024	+	0.471210i	0.324283	+	0.105366i
$21$	−0.370319	+	1.69200i	−0.0808103	+	0.369225i
$22$	−0.217092	+	3.30951i	−0.0462842	+	0.705590i
$23$			0.184469i			0.0384645i	0.999815	+	0.0192322i	$0.00612219\pi$
$23$			0.184469i			0.0384645i	−0.999815	+	0.0192322i	$0.993878\pi$
$24$	0.875051	−	1.49475i	0.178619	−	0.305115i
$25$	−2.16394	+	1.57219i	−0.432788	+	0.314439i
$26$	2.37143	−	3.26400i	0.465076	−	0.640122i
$27$	−1.69480	+	4.91199i	−0.326164	+	0.945313i
$28$	−0.951057	+	0.309017i	−0.179733	+	0.0583987i
$29$	2.12085	+	1.54089i	0.393832	+	0.286135i	0.767024	−	0.641619i	$-0.221737\pi$
$29$	2.12085	+	1.54089i	0.393832	+	0.286135i	−0.373192	+	0.927754i	$0.621737\pi$
$30$	−1.05969	−	2.41924i	−0.193472	−	0.441691i
$31$	0.712142	−	2.19175i	0.127904	−	0.393649i	−0.866515	−	0.499152i	$-0.833645\pi$
$31$	0.712142	−	2.19175i	0.127904	−	0.393649i	0.994419	+	0.105502i	$0.0336450\pi$
$32$	1.00000			0.176777
$33$	4.53284	−	3.52893i	0.789067	−	0.614307i
$34$	6.23543			1.06937
$35$	−0.471210	+	1.45024i	−0.0796491	+	0.245135i
$36$	−2.94175	+	0.588315i	−0.490291	+	0.0980524i
$37$	3.41434	+	2.48066i	0.561314	+	0.407819i	0.831940	−	0.554866i	$-0.187231\pi$
$37$	3.41434	+	2.48066i	0.561314	+	0.407819i	−0.270626	+	0.962685i	$0.587231\pi$
$38$	7.09956	−	2.30679i	1.15170	−	0.374210i
$39$	−6.95399	+	0.688540i	−1.11353	+	0.110255i
$40$	0.896295	−	1.23364i	0.141717	−	0.195056i
$41$	2.03409	−	1.47785i	0.317672	−	0.230802i	−0.417510	−	0.908672i	$-0.637097\pi$
$41$	2.03409	−	1.47785i	0.317672	−	0.230802i	0.735181	+	0.677871i	$0.237097\pi$
$42$	1.49475	+	0.875051i	0.230645	+	0.135023i
$43$			3.14871i			0.480174i	0.970751	+	0.240087i	$0.0771760\pi$
$43$			3.14871i			0.480174i	−0.970751	+	0.240087i	$0.922824\pi$
$44$	3.08045	+	1.22916i	0.464395	+	0.185303i
$45$	−1.91090	+	4.15638i	−0.284861	+	0.619596i
$46$	0.175441	+	0.0570041i	0.0258673	+	0.00840480i
$47$	−6.08281	−	8.37227i	−0.887269	−	1.22122i	−0.974354	−	0.225020i	$-0.927755\pi$
$47$	−6.08281	−	8.37227i	−0.887269	−	1.22122i	0.0870857	−	0.996201i	$-0.472245\pi$
$48$	−1.15119	−	1.29413i	−0.166160	−	0.186791i
$49$	−0.309017	−	0.951057i	−0.0441453	−	0.135865i
$50$	0.826551	+	2.54386i	0.116892	+	0.359757i
$51$	−7.17815	−	8.06944i	−1.00514	−	1.12995i
$52$	−2.37143	−	3.26400i	−0.328858	−	0.452635i
$53$	1.46825	+	0.477064i	0.201680	+	0.0655298i	0.408115	−	0.912931i	$-0.366186\pi$
$53$	1.46825	+	0.477064i	0.201680	+	0.0655298i	−0.206435	+	0.978460i	$0.566186\pi$
$54$	4.14786	+	3.12974i	0.564452	+	0.425903i
$55$	4.27734	−	2.69849i	0.576757	−	0.363864i
$56$			1.00000i			0.133631i
$57$	−11.1582	−	6.53218i	−1.47794	−	0.865209i
$58$	2.12085	−	1.54089i	0.278481	−	0.202328i
$59$	−3.34729	+	4.60715i	−0.435780	+	0.599799i	−0.969268	−	0.246008i	$-0.920881\pi$
$59$	−3.34729	+	4.60715i	−0.435780	+	0.599799i	0.533488	+	0.845808i	$0.320881\pi$
$60$	−2.62830	+	0.260238i	−0.339312	+	0.0335965i
$61$	6.79228	−	2.20694i	0.869662	−	0.282570i	0.160004	−	0.987116i	$-0.448849\pi$
$61$	6.79228	−	2.20694i	0.869662	−	0.282570i	0.709658	+	0.704546i	$0.248849\pi$
$62$	−1.86441	−	1.35457i	−0.236781	−	0.172031i
$63$	−0.588315	−	2.94175i	−0.0741207	−	0.370626i
$64$	0.309017	−	0.951057i	0.0386271	−	0.118882i
$65$	−6.15211			−0.763076
$66$	−1.95548	−	5.40149i	−0.240703	−	0.664877i
$67$	−0.875948			−0.107014			−0.0535070	−	0.998567i	$-0.517040\pi$
$67$	−0.875948			−0.107014			−0.0535070	+	0.998567i	$0.517040\pi$
$68$	1.92685	−	5.93024i	0.233665	−	0.719148i
$69$	−0.128195	−	0.292665i	−0.0154328	−	0.0352327i
$70$	1.23364	+	0.896295i	0.147449	+	0.107128i
$71$	−5.30866	+	1.72489i	−0.630022	+	0.204707i	−0.606585	−	0.795019i	$-0.707461\pi$
$71$	−5.30866	+	1.72489i	−0.630022	+	0.204707i	−0.0234371	+	0.999725i	$0.507461\pi$
$72$	−0.349530	+	2.97957i	−0.0411925	+	0.351146i
$73$	−4.87284	+	6.70690i	−0.570323	+	0.784983i	−0.992593	−	0.121488i	$-0.961234\pi$
$73$	−4.87284	+	6.70690i	−0.570323	+	0.784983i	0.422270	+	0.906470i	$0.361234\pi$
$74$	3.41434	−	2.48066i	0.396909	−	0.288371i
$75$	2.34057	−	3.99813i	0.270265	−	0.461664i
$76$		−	7.46492i		−	0.856285i
$77$	−1.22916	+	3.08045i	−0.140076	+	0.351050i
$78$	−1.49406	+	6.82641i	−0.169169	+	0.772938i
$79$	−9.19500	−	2.98764i	−1.03452	−	0.336135i	−0.257943	−	0.966160i	$-0.583045\pi$
$79$	−9.19500	−	2.98764i	−1.03452	−	0.336135i	−0.776575	+	0.630025i	$0.783045\pi$
$80$	−0.896295	−	1.23364i	−0.100209	−	0.137926i
$81$	−0.724695	−	8.97078i	−0.0805216	−	0.996753i
$82$	−0.776953	−	2.39122i	−0.0858001	−	0.264066i
$83$	1.95684	+	6.02252i	0.214791	+	0.661058i	0.999168	+	0.0407743i	$0.0129825\pi$
$83$	1.95684	+	6.02252i	0.214791	+	0.661058i	−0.784378	+	0.620284i	$0.787018\pi$
$84$	1.29413	−	1.15119i	0.141201	−	0.125605i
$85$	−5.58878	−	7.69230i	−0.606189	−	0.834347i
$86$	2.99460	+	0.973006i	0.322916	+	0.104922i
$87$	−4.43560	−	0.970797i	−0.475546	−	0.104080i
$88$	2.12091	−	2.54985i	0.226090	−	0.271815i
$89$			17.2905i			1.83279i	0.400273	+	0.916396i	$0.368915\pi$
$89$			17.2905i			1.83279i	−0.400273	+	0.916396i	$0.631085\pi$
$90$	3.36245	+	3.10177i	0.354433	+	0.326955i
$91$	3.26400	−	2.37143i	0.342160	−	0.248594i
$92$	0.108428	−	0.149239i	0.0113044	−	0.0155592i
$93$	0.393298	+	3.97216i	0.0407831	+	0.411893i
$94$	−9.84219	+	3.19792i	−1.01514	+	0.329840i
$95$	−9.20905	−	6.69077i	−0.944829	−	0.686458i
$96$	−1.58652	+	0.694938i	−0.161924	+	0.0709268i
$97$	4.34513	−	13.3729i	0.441181	−	1.35782i	−0.445437	−	0.895313i	$-0.646952\pi$
$97$	4.34513	−	13.3729i	0.441181	−	1.35782i	0.886618	−	0.462503i	$-0.153048\pi$
$98$	−1.00000			−0.101015
$99$	−4.73908	+	8.74878i	−0.476296	+	0.879285i
$100$	2.67478			0.267478
$101$	−3.07084	+	9.45108i	−0.305560	+	0.940417i	0.673908	+	0.738816i	$0.264615\pi$
$101$	−3.07084	+	9.45108i	−0.305560	+	0.940417i	−0.979468	+	0.201602i	$0.935385\pi$
$102$	−9.89266	+	4.33324i	−0.979519	+	0.429054i
$103$	14.3323	+	10.4130i	1.41221	+	1.02603i	0.992997	+	0.118138i	$0.0376924\pi$
$103$	14.3323	+	10.4130i	1.41221	+	1.02603i	0.419209	+	0.907890i	$0.362308\pi$
$104$	−3.83706	+	1.24674i	−0.376254	+	0.122252i
$105$	−0.260238	−	2.62830i	−0.0253966	−	0.256496i
$106$	0.907430	−	1.24897i	0.0881374	−	0.121311i
$107$	14.1345	−	10.2693i	1.36643	−	0.992769i	0.368423	−	0.929658i	$-0.379898\pi$
$107$	14.1345	−	10.2693i	1.36643	−	0.992769i	0.998007	−	0.0631112i	$-0.0201023\pi$
$108$	4.25832	−	2.97771i	0.409757	−	0.286530i
$109$		−	3.56182i		−	0.341161i	−0.985344	−	0.170580i	$-0.945436\pi$
$109$		−	3.56182i		−	0.341161i	0.985344	−	0.170580i	$-0.0545643\pi$
$110$	−1.24464	−	4.90187i	−0.118672	−	0.467375i
$111$	−7.14084	−	1.56288i	−0.677779	−	0.148342i
$112$	0.951057	+	0.309017i	0.0898664	+	0.0291994i
$113$	−3.62336	−	4.98713i	−0.340857	−	0.469149i	0.603835	−	0.797110i	$-0.293639\pi$
$113$	−3.62336	−	4.98713i	−0.340857	−	0.469149i	−0.944691	+	0.327960i	$0.893639\pi$
$114$	−9.66055	+	8.59353i	−0.904793	+	0.804857i
$115$	−0.0869238	−	0.267524i	−0.00810568	−	0.0249467i
$116$	−0.810092	−	2.49321i	−0.0752152	−	0.231488i
$117$	10.5542	−	5.92498i	0.975735	−	0.547764i
$118$	3.34729	+	4.60715i	0.308143	+	0.424122i
$119$	5.93024	+	1.92685i	0.543625	+	0.176634i
$120$	−0.564688	+	2.58008i	−0.0515487	+	0.235528i
$121$	9.66754	−	5.24773i	0.878867	−	0.477066i
$122$		−	7.14182i		−	0.646590i
$123$	−2.20012	+	3.75822i	−0.198378	+	0.338867i
$124$	−1.86441	+	1.35457i	−0.167429	+	0.121644i
$125$	6.87887	−	9.46795i	0.615264	−	0.846839i
$126$	−2.97957	−	0.349530i	−0.265441	−	0.0311386i
$127$	−14.6755	+	4.76835i	−1.30224	+	0.423123i	−0.876360	−	0.481657i	$-0.840035\pi$
$127$	−14.6755	+	4.76835i	−1.30224	+	0.423123i	−0.425879	+	0.904780i	$0.640035\pi$
$128$	−0.809017	−	0.587785i	−0.0715077	−	0.0519534i
$129$	−2.18816	−	4.99551i	−0.192657	−	0.439830i
$130$	−1.90111	+	5.85101i	−0.166738	+	0.513167i
$131$	−16.0159			−1.39932			−0.699658	−	0.714478i	$-0.746664\pi$
$131$	−16.0159			−1.39932			−0.699658	+	0.714478i	$0.746664\pi$
$132$	−5.74140	+	0.190624i	−0.499725	+	0.0165917i
$133$	7.46492			0.647290
$134$	−0.270683	+	0.833076i	−0.0233834	+	0.0719668i
$135$	0.143273	−	7.92215i	0.0123310	−	0.681831i
$136$	−5.04457	−	3.66509i	−0.432568	−	0.314279i
$137$	11.1211	−	3.61347i	0.950140	−	0.308719i	0.207368	−	0.978263i	$-0.433510\pi$
$137$	11.1211	−	3.61347i	0.950140	−	0.308719i	0.742773	+	0.669544i	$0.233510\pi$
$138$	−0.317955	+	0.0314819i	−0.0270661	+	0.00267992i
$139$	−4.58433	+	6.30979i	−0.388838	+	0.535190i	−0.957899	−	0.287106i	$-0.907307\pi$
$139$	−4.58433	+	6.30979i	−0.388838	+	0.535190i	0.569061	+	0.822295i	$0.307307\pi$
$140$	1.23364	−	0.896295i	0.104262	−	0.0757508i
$141$	15.4687	+	9.05563i	1.30270	+	0.762622i
$142$			5.58185i			0.468419i
$143$	−13.3523	−	0.875862i	−1.11657	−	0.0732433i
$144$	2.72573	+	1.25316i	0.227144	+	0.104430i
$145$	−3.80181	−	1.23528i	−0.315723	−	0.102585i
$146$	4.87284	+	6.70690i	0.403279	+	0.555067i
$147$	1.15119	+	1.29413i	0.0949484	+	0.106738i
$148$	−1.30416	−	4.01380i	−0.107201	−	0.329932i
$149$	4.31939	+	13.2937i	0.353858	+	1.08906i	0.956669	+	0.291178i	$0.0940473\pi$
$149$	4.31939	+	13.2937i	0.353858	+	1.08906i	−0.602811	+	0.797884i	$0.705953\pi$
$150$	−3.07917	−	3.46150i	−0.251413	−	0.282630i
$151$	−6.72868	−	9.26124i	−0.547572	−	0.753669i	0.442108	−	0.896962i	$-0.354231\pi$
$151$	−6.72868	−	9.26124i	−0.547572	−	0.753669i	−0.989680	+	0.143293i	$0.954231\pi$
$152$	−7.09956	−	2.30679i	−0.575850	−	0.187105i
$153$	16.9961	+	7.81399i	1.37405	+	0.631723i
$154$	2.54985	+	2.12091i	0.205473	+	0.170908i
$155$			3.51412i			0.282261i
$156$	6.03061	+	3.53041i	0.482835	+	0.282659i
$157$	−17.4390	+	12.6701i	−1.39178	+	1.01119i	−0.396113	+	0.918202i	$0.629641\pi$
$157$	−17.4390	+	12.6701i	−1.39178	+	1.01119i	−0.995667	+	0.0929864i	$0.970359\pi$
$158$	−5.68282	+	7.82174i	−0.452101	+	0.622264i
$159$	−2.66095	+	0.263470i	−0.211027	+	0.0208946i
$160$	−1.45024	+	0.471210i	−0.114651	+	0.0372524i
$161$	0.149239	+	0.108428i	0.0117617	+	0.00854534i
$162$	−8.75566	−	2.08290i	−0.687909	−	0.163648i
$163$	−2.03692	+	6.26901i	−0.159544	+	0.491027i	−0.998593	−	0.0530297i	$-0.983112\pi$
$163$	−2.03692	+	6.26901i	−0.159544	+	0.491027i	0.839049	+	0.544056i	$0.183112\pi$
$164$	−2.51427			−0.196332
$165$	−4.91083	+	7.25370i	−0.382307	+	0.564700i
$166$	6.33246			0.491494
$167$	2.08933	−	6.43029i	0.161677	−	0.497591i	−0.837099	−	0.547051i	$-0.815750\pi$
$167$	2.08933	−	6.43029i	0.161677	−	0.497591i	0.998776	+	0.0494607i	$0.0157502\pi$
$168$	−0.694938	−	1.58652i	−0.0536156	−	0.122403i
$169$	2.65143	+	1.92638i	0.203956	+	0.148183i
$170$	−9.04284	+	2.93820i	−0.693554	+	0.225349i
$171$	22.2422	+	2.60921i	1.70091	+	0.199531i
$172$	1.85077	−	2.54736i	0.141120	−	0.194235i
$173$	15.4639	−	11.2352i	1.17570	−	0.854196i	0.184020	−	0.982923i	$-0.441089\pi$
$173$	15.4639	−	11.2352i	1.17570	−	0.854196i	0.991680	+	0.128727i	$0.0410890\pi$
$174$	−2.29396	+	3.91851i	−0.173905	+	0.297062i
$175$			2.67478i			0.202194i
$176$	−1.76965	−	2.80506i	−0.133392	−	0.211439i
$177$	2.10887	−	9.63551i	0.158513	−	0.724249i
$178$	16.4443	+	5.34307i	1.23255	+	0.400480i
$179$	0.182104	+	0.250644i	0.0136111	+	0.0187340i	0.815768	−	0.578379i	$-0.196314\pi$
$179$	0.182104	+	0.250644i	0.0136111	+	0.0187340i	−0.802157	+	0.597113i	$0.796314\pi$
$180$	3.98901	−	2.23938i	0.297323	−	0.166913i
$181$	2.27242	+	6.99378i	0.168907	+	0.519844i	0.999303	−	0.0373308i	$-0.0118855\pi$
$181$	2.27242	+	6.99378i	0.168907	+	0.519844i	−0.830396	+	0.557174i	$0.811886\pi$
$182$	−1.24674	−	3.83706i	−0.0924142	−	0.284422i
$183$	−9.24243	+	8.22158i	−0.683220	+	0.607757i
$184$	−0.108428	−	0.149239i	−0.00799344	−	0.0110020i
$185$	−6.12051	−	1.98868i	−0.449989	−	0.146210i
$186$	3.89928	+	0.853415i	0.285909	+	0.0625754i
$187$	−11.0345	−	17.4907i	−0.806925	−	1.27905i
$188$			10.3487i			0.754756i
$189$	2.97771	+	4.25832i	0.216596	+	0.309747i
$190$	−9.20905	+	6.69077i	−0.668095	+	0.485399i
$191$	1.23181	−	1.69544i	0.0891306	−	0.122678i	−0.762123	−	0.647432i	$-0.775843\pi$
$191$	1.23181	−	1.69544i	0.0891306	−	0.122678i	0.851254	+	0.524754i	$0.175843\pi$
$192$	0.170662	+	1.72362i	0.0123165	+	0.124392i
$193$	19.4787	−	6.32900i	1.40210	−	0.455571i	0.492233	−	0.870463i	$-0.336181\pi$
$193$	19.4787	−	6.32900i	1.40210	−	0.455571i	0.909871	+	0.414892i	$0.136181\pi$
$194$	−11.3757	−	8.26493i	−0.816728	−	0.593387i
$195$	9.76048	−	4.27534i	0.698962	−	0.306163i
$196$	−0.309017	+	0.951057i	−0.0220726	+	0.0679326i
$197$	19.6124			1.39732			0.698662	−	0.715452i	$-0.253779\pi$
$197$	19.6124			1.39732			0.698662	+	0.715452i	$0.253779\pi$
$198$	6.85612	+	7.21066i	0.487244	+	0.512439i
$199$	−9.42211			−0.667916			−0.333958	−	0.942588i	$-0.608384\pi$
$199$	−9.42211			−0.667916			−0.333958	+	0.942588i	$0.608384\pi$
$200$	0.826551	−	2.54386i	0.0584460	−	0.179878i
$201$	1.38971	−	0.608729i	0.0980228	−	0.0429365i
$202$	8.03957	+	5.84109i	0.565662	+	0.410977i
$203$	2.49321	−	0.810092i	0.174989	−	0.0568573i
$204$	1.06415	+	10.7475i	0.0745056	+	0.752477i
$205$	−2.25353	+	3.10172i	−0.157393	+	0.216634i
$206$	14.3323	−	10.4130i	0.998580	−	0.725511i
$207$	0.406768	+	0.375233i	0.0282723	+	0.0260805i
$208$			4.03452i			0.279744i
$209$	−19.0344	−	15.8324i	−1.31664	−	1.09515i
$210$	−2.58008	−	0.564688i	−0.178042	−	0.0389672i
$211$	−23.1994	−	7.53794i	−1.59711	−	0.518933i	−0.630721	−	0.776010i	$-0.717241\pi$
$211$	−23.1994	−	7.53794i	−1.59711	−	0.518933i	−0.966391	+	0.257076i	$0.917241\pi$
$212$	−0.907430	−	1.24897i	−0.0623225	−	0.0857796i
$213$	7.22363	−	6.42577i	0.494955	−	0.440286i
$214$	−5.39888	−	16.6161i	−0.369060	−	1.13585i
$215$	−1.48371	−	4.56638i	−0.101188	−	0.311424i
$216$	−1.51608	−	4.97006i	−0.103156	−	0.338170i
$217$	−1.35457	−	1.86441i	−0.0919545	−	0.126565i
$218$	−3.38749	−	1.10066i	−0.229430	−	0.0745464i
$219$	3.07001	−	14.0270i	0.207452	−	0.947856i
$220$	−5.04657	−	0.331037i	−0.340240	−	0.0223185i
$221$			25.1570i			1.69224i
$222$	−3.69303	+	6.30839i	−0.247860	+	0.423391i
$223$	22.5635	−	16.3933i	1.51096	−	1.09778i	0.545215	−	0.838296i	$-0.316448\pi$
$223$	22.5635	−	16.3933i	1.51096	−	1.09778i	0.965748	−	0.259483i	$-0.0835520\pi$
$224$	0.587785	−	0.809017i	0.0392731	−	0.0540547i
$225$	−0.934914	+	7.96968i	−0.0623276	+	0.531312i
$226$	−5.86272	+	1.90491i	−0.389982	+	0.126713i
$227$	15.3391	+	11.1445i	1.01809	+	0.739686i	0.965891	−	0.258950i	$-0.0833766\pi$
$227$	15.3391	+	11.1445i	1.01809	+	0.739686i	0.0522002	+	0.998637i	$0.483377\pi$
$228$	5.18765	+	11.8433i	0.343561	+	0.784340i
$229$	0.807903	−	2.48647i	0.0533877	−	0.164311i	−0.920808	−	0.390017i	$-0.872469\pi$
$229$	0.807903	−	2.48647i	0.0533877	−	0.164311i	0.974195	+	0.225707i	$0.0724691\pi$
$230$	−0.281291			−0.0185478
$231$	−0.190624	−	5.74140i	−0.0125421	−	0.377756i
$232$	−2.62151			−0.172111
$233$	8.46310	−	26.0467i	0.554436	−	1.70638i	−0.142992	−	0.989724i	$-0.545672\pi$
$233$	8.46310	−	26.0467i	0.554436	−	1.70638i	0.697428	−	0.716655i	$-0.254328\pi$
$234$	−2.37357	−	11.8685i	−0.155165	−	0.775871i
$235$	12.7666	+	9.27548i	0.832801	+	0.605066i
$236$	5.41603	−	1.75977i	0.352553	−	0.114552i
$237$	16.6643	−	1.65000i	1.08246	−	0.107179i
$238$	3.66509	−	5.04457i	0.237573	−	0.326991i
$239$	5.45911	−	3.96628i	0.353121	−	0.256557i	−0.397056	−	0.917794i	$-0.629968\pi$
$239$	5.45911	−	3.96628i	0.353121	−	0.256557i	0.750177	+	0.661237i	$0.229968\pi$
$240$	2.27930	+	1.33434i	0.147128	+	0.0861312i
$241$			2.28135i			0.146955i	0.997297	+	0.0734774i	$0.0234097\pi$
$241$			2.28135i			0.146955i	−0.997297	+	0.0734774i	$0.976590\pi$
$242$	−2.00345	−	10.8160i	−0.128787	−	0.695280i
$243$	7.38388	+	13.7287i	0.473676	+	0.880699i
$244$	−6.79228	−	2.20694i	−0.434831	−	0.141285i
$245$	0.896295	+	1.23364i	0.0572622	+	0.0788147i
$246$	2.89440	+	3.25379i	0.184540	+	0.207454i
$247$	9.30677	+	28.6433i	0.592176	+	1.82253i
$248$	0.712142	+	2.19175i	0.0452211	+	0.139176i
$249$	−7.28985	−	8.19500i	−0.461976	−	0.519337i
$250$	−6.87887	−	9.46795i	−0.435058	−	0.598805i
$251$	−11.4926	−	3.73416i	−0.725405	−	0.235698i	−0.0770399	−	0.997028i	$-0.524547\pi$
$251$	−11.4926	−	3.73416i	−0.725405	−	0.235698i	−0.648365	+	0.761330i	$0.724547\pi$
$252$	−1.25316	+	2.72573i	−0.0789417	+	0.171705i
$253$	−0.150569	−	0.592998i	−0.00946619	−	0.0372815i
$254$			15.4307i			0.968209i
$255$	14.2124	+	8.32017i	0.890016	+	0.521029i
$256$	−0.809017	+	0.587785i	−0.0505636	+	0.0367366i
$257$	−12.9257	+	17.7908i	−0.806285	+	1.10976i	0.185600	+	0.982625i	$0.440577\pi$
$257$	−12.9257	+	17.7908i	−0.806285	+	1.10976i	−0.991886	+	0.127131i	$0.959423\pi$
$258$	−5.42719	+	0.537366i	−0.337882	+	0.0334550i
$259$	4.01380	−	1.30416i	0.249405	−	0.0810367i
$260$	4.97716	+	3.61612i	0.308671	+	0.224262i
$261$	7.71183	−	1.54227i	0.477350	−	0.0954644i
$262$	−4.94918	+	15.2320i	−0.305762	+	0.941038i
$263$	28.5645			1.76136			0.880681	−	0.473709i	$-0.157085\pi$
$263$	28.5645			1.76136			0.880681	+	0.473709i	$0.157085\pi$
$264$	−1.59290	+	5.51930i	−0.0980359	+	0.339689i
$265$	−2.35411			−0.144612
$266$	2.30679	−	7.09956i	0.141438	−	0.435302i
$267$	−12.0158	−	27.4318i	−0.735358	−	1.67880i
$268$	0.708657	+	0.514869i	0.0432881	+	0.0314506i
$269$	7.00090	−	2.27473i	0.426852	−	0.138693i	−0.0877093	−	0.996146i	$-0.527955\pi$
$269$	7.00090	−	2.27473i	0.426852	−	0.138693i	0.514562	+	0.857453i	$0.327955\pi$
$270$	−7.49014	−	2.58434i	−0.455836	−	0.157278i
$271$	−9.93835	+	13.6790i	−0.603712	+	0.830938i	−0.996042	−	0.0888864i	$-0.971669\pi$
$271$	−9.93835	+	13.6790i	−0.603712	+	0.830938i	0.392330	+	0.919825i	$0.371669\pi$
$272$	−5.04457	+	3.66509i	−0.305872	+	0.222229i
$273$	−3.53041	+	6.03061i	−0.213670	+	0.364989i
$274$		−	11.6934i		−	0.706426i
$275$	5.67297	−	6.82027i	0.342093	−	0.411278i
$276$	−0.0683125	+	0.312122i	−0.00411193	+	0.0187875i
$277$	0.580681	+	0.188675i	0.0348897	+	0.0113364i	0.326410	−	0.945228i	$-0.394161\pi$
$277$	0.580681	+	0.188675i	0.0348897	+	0.0113364i	−0.291520	+	0.956565i	$0.594161\pi$
$278$	4.58433	+	6.30979i	0.274950	+	0.378436i
$279$	−3.38438	−	6.02861i	−0.202618	−	0.360923i
$280$	−0.471210	−	1.45024i	−0.0281602	−	0.0866682i
$281$	−3.08823	−	9.50461i	−0.184229	−	0.566997i	0.815706	−	0.578467i	$-0.196349\pi$
$281$	−3.08823	−	9.50461i	−0.184229	−	0.566997i	−0.999934	+	0.0114699i	$0.996349\pi$
$282$	13.3925	−	11.9133i	0.797513	−	0.709426i
$283$	0.406618	+	0.559662i	0.0241710	+	0.0332685i	0.820931	−	0.571027i	$-0.193455\pi$
$283$	0.406618	+	0.559662i	0.0241710	+	0.0332685i	−0.796760	+	0.604295i	$0.793455\pi$
$284$	5.30866	+	1.72489i	0.315011	+	0.102353i
$285$	19.2601	+	4.21535i	1.14087	+	0.249696i
$286$	−4.95908	+	12.4281i	−0.293237	+	0.734891i
$287$		−	2.51427i		−	0.148413i
$288$	2.03412	−	2.20507i	0.119862	−	0.129935i
$289$	−17.7017	+	12.8611i	−1.04128	+	0.756533i
$290$	−2.34965	+	3.23402i	−0.137976	+	0.189908i
$291$	2.39971	+	24.2361i	0.140673	+	1.42075i
$292$	7.88443	−	2.56181i	0.461401	−	0.149918i
$293$	−9.45298	−	6.86799i	−0.552249	−	0.401232i	0.276365	−	0.961053i	$-0.410870\pi$
$293$	−9.45298	−	6.86799i	−0.552249	−	0.401232i	−0.828614	+	0.559820i	$0.810870\pi$
$294$	1.58652	−	0.694938i	0.0925280	−	0.0405296i
$295$	2.68342	−	8.25873i	0.156235	−	0.480842i
$296$	−4.22036			−0.245303
$297$	1.43881	−	17.1735i	0.0834884	−	0.996509i
$298$	13.9778			0.809714
$299$	−0.229984	+	0.707819i	−0.0133003	+	0.0409342i
$300$	−4.24360	+	1.85880i	−0.245004	+	0.107318i
$301$	2.54736	+	1.85077i	0.146828	+	0.106676i
$302$	−10.8872	+	3.53748i	−0.626490	+	0.203559i
$303$	−1.69595	−	17.1284i	−0.0974296	−	0.984001i
$304$	−4.38777	+	6.03924i	−0.251656	+	0.346374i
$305$	−8.81047	+	6.40118i	−0.504486	+	0.366531i
$306$	12.6836	−	13.7496i	0.725074	−	0.786011i
$307$		−	6.13997i		−	0.350427i	−0.984530	−	0.175213i	$-0.943938\pi$
$307$		−	6.13997i		−	0.350427i	0.984530	−	0.175213i	$-0.0560615\pi$
$308$	2.80506	−	1.76965i	0.159833	−	0.100835i
$309$	−29.9750	−	6.56047i	−1.70522	−	0.373212i
$310$	3.34213	+	1.08592i	0.189820	+	0.0616763i
$311$	0.496600	+	0.683511i	0.0281596	+	0.0387584i	0.822865	−	0.568237i	$-0.192374\pi$
$311$	0.496600	+	0.683511i	0.0281596	+	0.0387584i	−0.794705	+	0.606996i	$0.792374\pi$
$312$	5.22118	−	4.64449i	0.295591	−	0.262943i
$313$	0.717070	+	2.20691i	0.0405312	+	0.124742i	0.969275	−	0.245981i	$-0.0791100\pi$
$313$	0.717070	+	2.20691i	0.0405312	+	0.124742i	−0.928744	+	0.370723i	$0.879110\pi$
$314$	6.66109	+	20.5007i	0.375907	+	1.15692i
$315$	2.23938	+	3.98901i	0.126175	+	0.224755i
$316$	5.68282	+	7.82174i	0.319684	+	0.440007i
$317$	−14.7494	−	4.79238i	−0.828410	−	0.269167i	−0.136035	−	0.990704i	$-0.543436\pi$
$317$	−14.7494	−	4.79238i	−0.828410	−	0.269167i	−0.692376	+	0.721537i	$0.743436\pi$
$318$	−0.571703	+	2.61213i	−0.0320595	+	0.146481i
$319$	−8.07544	−	3.22227i	−0.452138	−	0.180412i
$320$			1.52487i			0.0852428i
$321$	−15.2882	+	26.1151i	−0.853301	+	1.45760i
$322$	0.149239	−	0.108428i	0.00831675	−	0.00604247i
$323$	−27.3596	+	37.6573i	−1.52233	+	2.09531i
$324$	−4.68660	+	7.68347i	−0.260367	+	0.426860i
$325$	−10.2633	+	3.33474i	−0.569303	+	0.184978i
$326$	5.33274	+	3.87446i	0.295353	+	0.214586i
$327$	2.47525	+	5.65092i	0.136881	+	0.312497i
$328$	−0.776953	+	2.39122i	−0.0429001	+	0.132033i
$329$	−10.3487			−0.570542
$330$	5.38115	+	6.91199i	0.296223	+	0.380493i
$331$	13.2575			0.728698			0.364349	−	0.931262i	$-0.381292\pi$
$331$	13.2575			0.728698			0.364349	+	0.931262i	$0.381292\pi$
$332$	1.95684	−	6.02252i	0.107395	−	0.330529i
$333$	12.4152	−	2.48290i	0.680350	−	0.136062i
$334$	−5.46993	−	3.97414i	−0.299301	−	0.217455i
$335$	1.27033	−	0.412756i	0.0694056	−	0.0225512i
$336$	−1.72362	+	0.170662i	−0.0940313	+	0.00931039i
$337$	6.27116	−	8.63151i	0.341612	−	0.470188i	−0.603300	−	0.797515i	$-0.706148\pi$
$337$	6.27116	−	8.63151i	0.341612	−	0.470188i	0.944911	+	0.327326i	$0.106148\pi$
$338$	2.65143	−	1.92638i	0.144219	−	0.104781i
$339$	9.21429	+	5.39419i	0.500452	+	0.292972i
$340$			9.50821i			0.515655i
$341$	−0.500297	+	7.62690i	−0.0270926	+	0.413020i
$342$	9.35473	−	20.3473i	0.505846	−	1.10026i
$343$	−0.951057	−	0.309017i	−0.0513522	−	0.0166853i
$344$	−1.85077	−	2.54736i	−0.0997867	−	0.137345i
$345$	0.323819	+	0.364027i	0.0174338	+	0.0195985i
$346$	−5.90669	−	18.1789i	−0.317546	−	0.977305i
$347$	5.58224	+	17.1804i	0.299670	+	0.922291i	0.981612	+	0.190885i	$0.0611356\pi$
$347$	5.58224	+	17.1804i	0.299670	+	0.922291i	−0.681942	+	0.731406i	$0.738864\pi$
$348$	3.01786	+	3.39257i	0.161774	+	0.181861i
$349$	−4.77734	−	6.57544i	−0.255725	−	0.351975i	0.661781	−	0.749697i	$-0.269801\pi$
$349$	−4.77734	−	6.57544i	−0.255725	−	0.351975i	−0.917506	+	0.397722i	$0.869801\pi$
$350$	2.54386	+	0.826551i	0.135975	+	0.0441810i
$351$	−12.6270	+	16.7346i	−0.673978	+	0.893228i
$352$	−3.21462	+	0.816229i	−0.171340	+	0.0435051i
$353$		−	2.20750i		−	0.117493i	−0.998273	−	0.0587467i	$-0.981290\pi$
$353$		−	2.20750i		−	0.117493i	0.998273	−	0.0587467i	$-0.0187104\pi$
$354$	−8.51224	−	4.98320i	−0.452420	−	0.264854i
$355$	6.88603	−	5.00299i	0.365472	−	0.265531i
$356$	10.1631	−	13.9883i	0.538644	−	0.741380i
$357$	−10.7475	+	1.06415i	−0.568819	+	0.0563209i
$358$	0.294650	−	0.0957376i	0.0155727	−	0.00505989i
$359$	27.3203	+	19.8494i	1.44191	+	1.04761i	0.987639	+	0.156747i	$0.0501008\pi$
$359$	27.3203	+	19.8494i	1.44191	+	1.04761i	0.454273	+	0.890863i	$0.349899\pi$
$360$	−0.897103	−	4.48578i	−0.0472815	−	0.236421i
$361$	−11.3486	+	34.9275i	−0.597297	+	1.83829i
$362$	7.35370			0.386502
$363$	−11.6909	+	15.0440i	−0.613616	+	0.789605i
$364$	−4.03452			−0.211466
$365$	3.90642	−	12.0227i	0.204471	−	0.629298i
$366$	4.96312	+	11.3307i	0.259427	+	0.592264i
$367$	−7.02805	−	5.10617i	−0.366861	−	0.266540i	0.389047	−	0.921218i	$-0.372804\pi$
$367$	−7.02805	−	5.10617i	−0.366861	−	0.266540i	−0.755908	+	0.654678i	$0.772804\pi$
$368$	−0.175441	+	0.0570041i	−0.00914547	+	0.00297154i
$369$	0.878814	−	7.49145i	0.0457492	−	0.389989i
$370$	−3.78269	+	5.20642i	−0.196652	+	0.270669i
$371$	1.24897	−	0.907430i	0.0648433	−	0.0471114i
$372$	2.01659	−	3.44472i	0.104555	−	0.178600i
$373$		−	34.8438i		−	1.80414i	−0.431587	−	0.902071i	$-0.642046\pi$
$373$		−	34.8438i		−	1.80414i	0.431587	−	0.902071i	$-0.357954\pi$
$374$	−20.0445	+	5.08953i	−1.03648	+	0.263174i
$375$	−4.33385	+	19.8015i	−0.223799	+	1.02255i
$376$	9.84219	+	3.19792i	0.507572	+	0.164920i
$377$	6.21674	+	8.55661i	0.320178	+	0.440688i
$378$	4.97006	−	1.51608i	0.255632	−	0.0779786i
$379$	−1.14996	−	3.53921i	−0.0590694	−	0.181797i	0.917168	−	0.398501i	$-0.130469\pi$
$379$	−1.14996	−	3.53921i	−0.0590694	−	0.181797i	−0.976237	+	0.216704i	$0.930469\pi$
$380$	3.51755	+	10.8259i	0.180446	+	0.555356i
$381$	19.9693	−	17.7637i	1.02306	−	0.910060i
$382$	−1.23181	−	1.69544i	−0.0630249	−	0.0867463i
$383$	6.26211	+	2.03468i	0.319979	+	0.103967i	0.464603	−	0.885519i	$-0.346197\pi$
$383$	6.26211	+	2.03468i	0.319979	+	0.103967i	−0.144624	+	0.989487i	$0.546197\pi$
$384$	1.69200	+	0.370319i	0.0863445	+	0.0188978i
$385$	0.331037	−	5.04657i	0.0168712	−	0.257197i
$386$		−	20.4811i		−	1.04246i
$387$	6.94314	+	6.40487i	0.352940	+	0.325578i
$388$	−11.3757	+	8.26493i	−0.577514	+	0.419588i
$389$	−10.3226	+	14.2078i	−0.523375	+	0.720364i	−0.986103	−	0.166137i	$-0.946871\pi$
$389$	−10.3226	+	14.2078i	−0.523375	+	0.720364i	0.462728	+	0.886500i	$0.346871\pi$
$390$	−1.04993	−	10.6039i	−0.0531655	−	0.536950i
$391$	−1.09395	+	0.355445i	−0.0553233	+	0.0179756i
$392$	0.809017	+	0.587785i	0.0408615	+	0.0296876i
$393$	25.4096	−	11.1301i	1.28175	−	0.561437i
$394$	6.06056	−	18.6525i	0.305327	−	0.939698i
$395$	14.7427			0.741787
$396$	8.97640	−	4.29235i	0.451081	−	0.215699i
$397$	−34.8903			−1.75109			−0.875547	−	0.483133i	$-0.839499\pi$
$397$	−34.8903			−1.75109			−0.875547	+	0.483133i	$0.839499\pi$
$398$	−2.91159	+	8.96096i	−0.145945	+	0.449172i
$399$	−11.8433	+	5.18765i	−0.592905	+	0.259708i
$400$	−2.16394	−	1.57219i	−0.108197	−	0.0786097i
$401$	−16.0240	+	5.20650i	−0.800198	+	0.260000i	−0.680441	−	0.732803i	$-0.738212\pi$
$401$	−16.0240	+	5.20650i	−0.800198	+	0.260000i	−0.119757	+	0.992803i	$0.538212\pi$
$402$	−0.149491	−	1.50980i	−0.00745594	−	0.0753021i
$403$	5.46506	−	7.52201i	0.272234	−	0.374698i
$404$	8.03957	−	5.84109i	0.399983	−	0.290605i
$405$	5.27810	+	12.6683i	0.262271	+	0.629491i
$406$		−	2.62151i		−	0.130104i
$407$	−13.0006	−	5.18750i	−0.644415	−	0.257135i
$408$	10.5503	+	2.30910i	0.522320	+	0.114317i
$409$	−11.2903	−	3.66846i	−0.558272	−	0.181393i	0.0162716	−	0.999868i	$-0.494820\pi$
$409$	−11.2903	−	3.66846i	−0.558272	−	0.181393i	−0.574543	+	0.818474i	$0.694820\pi$
$410$	2.25353	+	3.10172i	0.111294	+	0.153183i
$411$	−15.1328	+	13.4613i	−0.746445	+	0.663999i
$412$	−5.47446	−	16.8487i	−0.269707	−	0.830074i
$413$	1.75977	+	5.41603i	0.0865928	+	0.266505i
$414$	0.482566	−	0.270906i	0.0237168	−	0.0133143i
$415$	−5.67575	−	7.81200i	−0.278612	−	0.383476i
$416$	3.83706	+	1.24674i	0.188127	+	0.0611262i
$417$	2.88824	−	13.1965i	0.141438	−	0.646234i
$418$	−20.9395	+	13.2103i	−1.02418	+	0.646137i
$419$		−	34.9941i		−	1.70957i	−0.518979	−	0.854787i	$-0.673688\pi$
$419$		−	34.9941i		−	1.70957i	0.518979	−	0.854787i	$-0.326312\pi$
$420$	−1.33434	+	2.27930i	−0.0651090	+	0.111219i
$421$	21.6029	−	15.6955i	1.05286	−	0.764950i	0.0801082	−	0.996786i	$-0.474473\pi$
$421$	21.6029	−	15.6955i	1.05286	−	0.764950i	0.972755	+	0.231836i	$0.0744734\pi$
$422$	−14.3380	+	19.7346i	−0.697964	+	0.960665i
$423$	−30.8346	−	3.61718i	−1.49923	−	0.175873i
$424$	−1.46825	+	0.477064i	−0.0713046	+	0.0231683i
$425$	−13.4931	−	9.80330i	−0.654511	−	0.475530i
$426$	−3.87904	−	8.85575i	−0.187940	−	0.429063i
$427$	2.20694	−	6.79228i	0.106802	−	0.328701i
$428$	−17.4712			−0.844500
$429$	21.7924	−	7.88944i	1.05215	−	0.380906i
$430$	−4.80137			−0.231543
$431$	4.26718	−	13.1330i	0.205543	−	0.632595i	−0.794148	−	0.607724i	$-0.792083\pi$
$431$	4.26718	−	13.1330i	0.205543	−	0.632595i	0.999691	−	0.0248708i	$-0.00791745\pi$
$432$	−5.19530	−	0.0939576i	−0.249959	−	0.00452054i
$433$	−16.2136	−	11.7798i	−0.779174	−	0.566103i	0.125557	−	0.992086i	$-0.459928\pi$
$433$	−16.2136	−	11.7798i	−0.779174	−	0.566103i	−0.904731	+	0.425983i	$0.859928\pi$
$434$	−2.19175	+	0.712142i	−0.105207	+	0.0341839i
$435$	6.89012	−	0.682216i	0.330356	−	0.0327098i
$436$	−2.09359	+	2.88158i	−0.100265	+	0.138002i
$437$	−1.11405	+	0.809408i	−0.0532924	+	0.0387192i
$438$	−12.3918	−	7.25433i	−0.592101	−	0.346625i
$439$		−	1.39439i		−	0.0665506i	−0.999446	−	0.0332753i	$-0.989406\pi$
$439$		−	1.39439i		−	0.0665506i	0.999446	−	0.0332753i	$-0.0105938\pi$
$440$	−1.87431	+	4.69728i	−0.0893543	+	0.223934i
$441$	−2.72573	−	1.25316i	−0.129797	−	0.0596743i
$442$	23.9257	+	7.77393i	1.13803	+	0.369768i
$443$	−8.23948	−	11.3407i	−0.391470	−	0.538812i	0.567108	−	0.823643i	$-0.308062\pi$
$443$	−8.23948	−	11.3407i	−0.391470	−	0.538812i	−0.958577	+	0.284832i	$0.908062\pi$
$444$	4.85843	+	5.46168i	0.230571	+	0.259200i
$445$	−8.14747	−	25.0753i	−0.386227	−	1.18869i
$446$	−8.61849	−	26.5250i	−0.408097	−	1.25599i
$447$	−16.0911	−	18.0891i	−0.761083	−	0.855584i
$448$	−0.587785	−	0.809017i	−0.0277702	−	0.0382225i
$449$	4.34122	+	1.41055i	0.204875	+	0.0665679i	0.409657	−	0.912240i	$-0.365648\pi$
$449$	4.34122	+	1.41055i	0.204875	+	0.0665679i	−0.204782	+	0.978808i	$0.565648\pi$
$450$	7.29071	+	3.35192i	0.343687	+	0.158011i
$451$	−5.33256	+	6.41102i	−0.251100	+	0.301883i
$452$			6.16443i			0.289950i
$453$	17.1112	+	10.0172i	0.803955	+	0.470647i
$454$	15.3391	−	11.1445i	0.719899	−	0.523037i
$455$	−3.61612	+	4.97716i	−0.169526	+	0.233333i
$456$	12.8667	−	1.27398i	0.602538	−	0.0596596i
$457$	−35.0871	+	11.4005i	−1.64130	+	0.533292i	−0.976829	−	0.214020i	$-0.931344\pi$
$457$	−35.0871	+	11.4005i	−1.64130	+	0.533292i	−0.664474	+	0.747311i	$0.731344\pi$
$458$	−2.11512	−	1.53672i	−0.0988330	−	0.0718064i
$459$	−32.3949	−	0.585866i	−1.51207	−	0.0273459i
$460$	−0.0869238	+	0.267524i	−0.00405284	+	0.0124734i
$461$	−24.9114			−1.16024			−0.580121	−	0.814531i	$-0.696995\pi$
$461$	−24.9114			−1.16024			−0.580121	+	0.814531i	$0.696995\pi$
$462$	−5.51930	−	1.59290i	−0.256781	−	0.0741082i
$463$	34.1704			1.58803			0.794017	−	0.607895i	$-0.207986\pi$
$463$	34.1704			1.58803			0.794017	+	0.607895i	$0.207986\pi$
$464$	−0.810092	+	2.49321i	−0.0376076	+	0.115744i
$465$	−2.44210	−	5.57524i	−0.113250	−	0.258546i
$466$	−22.1567	−	16.0978i	−1.02639	−	0.745715i
$467$	2.16472	−	0.703359i	0.100171	−	0.0325476i	−0.258503	−	0.966011i	$-0.583229\pi$
$467$	2.16472	−	0.703359i	0.100171	−	0.0325476i	0.358674	+	0.933463i	$0.383229\pi$
$468$	−12.0211	−	1.41019i	−0.555677	−	0.0651858i
$469$	−0.514869	+	0.708657i	−0.0237744	+	0.0327227i
$470$	12.7666	−	9.27548i	0.588880	−	0.427846i
$471$	18.8624	−	32.2205i	0.869133	−	1.48464i
$472$		−	5.69475i		−	0.262122i
$473$	−2.57007	−	10.1219i	−0.118172	−	0.465406i
$474$	3.58032	−	16.3586i	0.164449	−	0.751375i
$475$	−18.9897	−	6.17013i	−0.871308	−	0.283105i
$476$	−3.66509	−	5.04457i	−0.167989	−	0.231217i
$477$	4.03856	−	2.26720i	0.184913	−	0.103808i
$478$	−2.08519	−	6.41757i	−0.0953746	−	0.293533i
$479$	−4.14321	−	12.7515i	−0.189308	−	0.582630i	0.810688	−	0.585478i	$-0.199093\pi$
$479$	−4.14321	−	12.7515i	−0.189308	−	0.582630i	−0.999996	+	0.00284856i	$0.999093\pi$
$480$	1.97337	−	1.75541i	0.0900718	−	0.0801232i
$481$	10.0083	+	13.7752i	0.456339	+	0.628096i
$482$	2.16969	+	0.704976i	0.0988269	+	0.0321108i
$483$	−0.312122	−	0.0683125i	−0.0142020	−	0.00310832i
$484$	−10.9057	−	1.43694i	−0.495716	−	0.0653154i
$485$			21.4414i			0.973603i
$486$	15.3386	−	2.78007i	0.695771	−	0.126107i
$487$	8.78932	−	6.38581i	0.398282	−	0.289369i	−0.370559	−	0.928809i	$-0.620834\pi$
$487$	8.78932	−	6.38581i	0.398282	−	0.289369i	0.768841	+	0.639440i	$0.220834\pi$
$488$	−4.19786	+	5.77786i	−0.190028	+	0.261551i
$489$	−1.12494	−	11.3615i	−0.0508716	−	0.513784i
$490$	1.45024	−	0.471210i	0.0655150	−	0.0212871i
$491$	11.5096	+	8.36223i	0.519422	+	0.377382i	0.816386	−	0.577506i	$-0.195974\pi$
$491$	11.5096	+	8.36223i	0.519422	+	0.377382i	−0.296964	+	0.954889i	$0.595974\pi$
$492$	3.98896	−	1.74726i	0.179836	−	0.0787728i
$493$	−5.05127	+	15.5462i	−0.227498	+	0.700166i
$494$	30.1173			1.35504
$495$	2.75027	−	14.9209i	0.123616	−	0.670645i
$496$	2.30454			0.103477
$497$	−1.72489	+	5.30866i	−0.0773718	+	0.238126i
$498$	−10.0466	+	4.40066i	−0.450199	+	0.197199i
$499$	−27.6315	−	20.0755i	−1.23696	−	0.898702i	−0.239565	−	0.970880i	$-0.577005\pi$
$499$	−27.6315	−	20.0755i	−1.23696	−	0.898702i	−0.997392	+	0.0721784i	$0.977005\pi$
$500$	−11.1302	+	3.61643i	−0.497759	+	0.161732i
$501$	1.15388	+	11.6538i	0.0515517	+	0.520652i
$502$	−7.10280	+	9.77617i	−0.317014	+	0.436332i
$503$	17.5881	−	12.7785i	0.784214	−	0.569765i	−0.122027	−	0.992527i	$-0.538939\pi$
$503$	17.5881	−	12.7785i	0.784214	−	0.569765i	0.906241	+	0.422762i	$0.138939\pi$
$504$	2.20507	+	2.03412i	0.0982218	+	0.0906070i
$505$		−	15.1533i		−	0.674313i
$506$	−0.610503	−	0.0400468i	−0.0271402	−	0.00178030i
$507$	−5.54528	−	1.21367i	−0.246274	−	0.0539008i
$508$	14.6755	+	4.76835i	0.651119	+	0.211561i
$509$	20.6539	+	28.4276i	0.915467	+	1.26003i	0.965265	+	0.261272i	$0.0841421\pi$
$509$	20.6539	+	28.4276i	0.915467	+	1.26003i	−0.0497984	+	0.998759i	$0.515858\pi$
$510$	12.3048	−	10.9457i	0.544867	−	0.484685i
$511$	2.56181	+	7.88443i	0.113328	+	0.348787i
$512$	0.309017	+	0.951057i	0.0136568	+	0.0420312i
$513$	−37.1011	+	11.3174i	−1.63805	+	0.499675i
$514$	12.9257	+	17.7908i	0.570130	+	0.784717i
$515$	−25.6920	−	8.34783i	−1.13212	−	0.367849i
$516$	−1.16603	+	5.32762i	−0.0513315	+	0.234535i
$517$	26.3876	+	21.9487i	1.16052	+	0.965302i
$518$		−	4.22036i		−	0.185432i
$519$	−16.7261	+	28.5714i	−0.734195	+	1.25414i
$520$	4.97716	−	3.61612i	0.218263	−	0.158577i
$521$	9.46550	−	13.0281i	0.414691	−	0.570774i	−0.549664	−	0.835386i	$-0.685244\pi$
$521$	9.46550	−	13.0281i	0.414691	−	0.570774i	0.964355	+	0.264613i	$0.0852441\pi$
$522$	0.916297	−	7.81098i	0.0401052	−	0.341877i
$523$	7.07544	−	2.29895i	0.309387	−	0.100526i	−0.150208	−	0.988654i	$-0.547994\pi$
$523$	7.07544	−	2.29895i	0.309387	−	0.100526i	0.459595	+	0.888128i	$0.347994\pi$
$524$	12.9571	+	9.41391i	0.566035	+	0.411248i
$525$	−1.85880	−	4.24360i	−0.0811248	−	0.185206i
$526$	8.82692	−	27.1665i	0.384872	−	1.18451i
$527$	14.3698			0.625958
$528$	4.75694	+	3.22049i	0.207019	+	0.140154i
$529$	22.9660			0.998520
$530$	−0.727460	+	2.23889i	−0.0315988	+	0.0972512i
$531$	3.35030	+	16.7525i	0.145391	+	0.726997i
$532$	−6.03924	−	4.38777i	−0.261834	−	0.190234i
$533$	9.64741	−	3.13463i	0.417876	−	0.135776i
$534$	−29.8023	+	2.95084i	−1.28967	+	0.127695i
$535$	−15.6593	+	21.5532i	−0.677011	+	0.931826i
$536$	0.708657	−	0.514869i	0.0306093	−	0.0222390i
$537$	−0.463094	−	0.271103i	−0.0199840	−	0.0116989i
$538$		−	7.36118i		−	0.317363i
$539$	1.76965	+	2.80506i	0.0762243	+	0.120822i
$540$	−4.77244	+	6.32494i	−0.205373	+	0.272182i
$541$	−1.02826	−	0.334101i	−0.0442083	−	0.0143641i	0.286829	−	0.957982i	$-0.407399\pi$
$541$	−1.02826	−	0.334101i	−0.0442083	−	0.0143641i	−0.331038	+	0.943618i	$0.607399\pi$
$542$	9.93835	+	13.6790i	0.426889	+	0.587562i
$543$	−8.46549	−	9.51662i	−0.363289	−	0.408397i
$544$	1.92685	+	5.93024i	0.0826131	+	0.254257i
$545$	1.67837	+	5.16548i	0.0718934	+	0.221265i
$546$	4.64449	+	5.22118i	0.198766	+	0.223446i
$547$	19.5352	+	26.8879i	0.835265	+	1.14964i	0.986920	+	0.161210i	$0.0515396\pi$
$547$	19.5352	+	26.8879i	0.835265	+	1.14964i	−0.151655	+	0.988433i	$0.548460\pi$
$548$	−11.1211	−	3.61347i	−0.475070	−	0.154360i
$549$	8.94985	−	19.4667i	0.381970	−	0.830817i
$550$	−4.73342	−	7.50289i	−0.201834	−	0.319924i
$551$			19.5694i			0.833683i
$552$	0.275736	+	0.161420i	0.0117361	+	0.00687049i
$553$	−7.82174	+	5.68282i	−0.332614	+	0.241658i
$554$	0.358881	−	0.493957i	0.0152474	−	0.0209862i
$555$	11.0924	−	1.09830i	0.470844	−	0.0466200i
$556$	7.41761	−	2.41013i	0.314577	−	0.102212i
$557$	−32.9776	−	23.9596i	−1.39730	−	1.01520i	−0.995019	−	0.0996865i	$-0.968216\pi$
$557$	−32.9776	−	23.9596i	−1.39730	−	1.01520i	−0.402285	−	0.915514i	$-0.631784\pi$
$558$	−6.77938	+	1.35579i	−0.286994	+	0.0573954i
$559$	−3.92561	+	12.0818i	−0.166036	+	0.511005i
$560$	−1.52487			−0.0644375
$561$	29.6615	+	20.0811i	1.25231	+	0.847826i
$562$	−9.99374			−0.421560
$563$	10.0416	−	30.9050i	0.423204	−	1.30249i	−0.481499	−	0.876447i	$-0.659907\pi$
$563$	10.0416	−	30.9050i	0.423204	−	1.30249i	0.904703	−	0.426042i	$-0.140093\pi$
$564$	−7.19170	−	16.4185i	−0.302825	−	0.691342i
$565$	7.60471	+	5.52515i	0.319933	+	0.232445i
$566$	0.657922	−	0.213772i	0.0276545	−	0.00898550i
$567$	−7.68347	−	4.68660i	−0.322676	−	0.196819i
$568$	3.28093	−	4.51582i	0.137665	−	0.189479i
$569$	−14.5533	+	10.5736i	−0.610106	+	0.443268i	−0.849452	−	0.527666i	$-0.823067\pi$
$569$	−14.5533	+	10.5736i	−0.610106	+	0.443268i	0.239345	+	0.970934i	$0.423067\pi$
$570$	9.96072	−	17.0148i	0.417209	−	0.712671i
$571$		−	6.72894i		−	0.281597i	−0.990038	−	0.140799i	$-0.955033\pi$
$571$		−	6.72894i		−	0.281597i	0.990038	−	0.140799i	$-0.0449670\pi$
$572$	10.2874	+	8.55687i	0.430138	+	0.357781i
$573$	−0.776070	+	3.54589i	−0.0324208	+	0.148132i
$574$	−2.39122	−	0.776953i	−0.0998075	−	0.0324294i
$575$	−0.290021	−	0.399180i	−0.0120947	−	0.0166470i
$576$	−1.46857	−	2.61597i	−0.0611905	−	0.108999i
$577$	6.38508	+	19.6513i	0.265814	+	0.818093i	0.991505	+	0.130071i	$0.0415206\pi$
$577$	6.38508	+	19.6513i	0.265814	+	0.818093i	−0.725690	+	0.688022i	$0.758479\pi$
$578$	6.76146	+	20.8096i	0.281240	+	0.865567i
$579$	−26.5051	+	23.5776i	−1.10151	+	0.979850i
$580$	2.34965	+	3.23402i	0.0975639	+	0.134285i
$581$	6.02252	+	1.95684i	0.249856	+	0.0811833i
$582$	23.7914	+	5.20711i	0.986187	+	0.215842i
$583$	−5.10926	−	0.335149i	−0.211604	−	0.0138805i
$584$		−	8.29018i		−	0.343050i
$585$	−12.5141	+	13.5659i	−0.517396	+	0.560879i
$586$	−9.45298	+	6.86799i	−0.390499	+	0.283714i
$587$	25.0294	−	34.4500i	1.03307	−	1.42191i	0.130461	−	0.991453i	$-0.458354\pi$
$587$	25.0294	−	34.4500i	1.03307	−	1.42191i	0.902614	−	0.430452i	$-0.141646\pi$
$588$	−0.170662	−	1.72362i	−0.00703799	−	0.0710810i
$589$	16.3612	−	5.31608i	0.674152	−	0.219045i
$590$	−7.02529	−	5.10418i	−0.289227	−	0.210136i
$591$	−31.1155	+	13.6294i	−1.27992	+	0.560638i
$592$	−1.30416	+	4.01380i	−0.0536007	+	0.164966i
$593$	−10.9708			−0.450516			−0.225258	−	0.974299i	$-0.572323\pi$
$593$	−10.9708			−0.450516			−0.225258	+	0.974299i	$0.572323\pi$
$594$	−15.8884	−	6.67530i	−0.651908	−	0.273891i
$595$	−9.50821			−0.389799
$596$	4.31939	−	13.2937i	0.176929	−	0.544531i
$597$	14.9484	−	6.54779i	0.611798	−	0.267983i
$598$	0.602106	+	0.437456i	0.0246220	+	0.0178889i
$599$	36.4041	−	11.8284i	1.48743	−	0.483296i	0.551108	−	0.834434i	$-0.314205\pi$
$599$	36.4041	−	11.8284i	1.48743	−	0.483296i	0.936324	+	0.351138i	$0.114205\pi$
$600$	0.456483	+	4.61030i	0.0186359	+	0.188215i
$601$	−7.91785	+	10.8980i	−0.322976	+	0.444538i	−0.939373	−	0.342897i	$-0.888592\pi$
$601$	−7.91785	+	10.8980i	−0.322976	+	0.444538i	0.616397	+	0.787436i	$0.288592\pi$
$602$	2.54736	−	1.85077i	0.103823	−	0.0754316i
$603$	−1.78178	+	1.93153i	−0.0725599	+	0.0786579i
$604$			11.4475i			0.465793i
$605$	−11.5474	+	12.1659i	−0.469470	+	0.494614i
$606$	−16.8142	−	3.68003i	−0.683029	−	0.149491i
$607$	−9.78968	−	3.18086i	−0.397351	−	0.129107i	0.103524	−	0.994627i	$-0.466988\pi$
$607$	−9.78968	−	3.18086i	−0.397351	−	0.129107i	−0.500875	+	0.865520i	$0.666988\pi$
$608$	4.38777	+	6.03924i	0.177947	+	0.244924i
$609$	−3.39257	+	3.01786i	−0.137474	+	0.122290i
$610$	3.36530	+	10.3573i	0.136257	+	0.419356i
$611$	−12.9021	−	39.7085i	−0.521962	−	1.60643i
$612$	−9.15717	−	16.3117i	−0.370157	−	0.659361i
$613$	−1.27126	−	1.74974i	−0.0513456	−	0.0706712i	0.782572	−	0.622560i	$-0.213907\pi$
$613$	−1.27126	−	1.74974i	−0.0513456	−	0.0706712i	−0.833918	+	0.551889i	$0.813907\pi$
$614$	−5.83946	−	1.89736i	−0.235661	−	0.0765711i
$615$	1.41978	−	6.48702i	0.0572511	−	0.261582i
$616$	−0.816229	−	3.21462i	−0.0328868	−	0.129521i
$617$		−	28.7891i		−	1.15900i	−0.814971	−	0.579502i	$-0.803247\pi$
$617$		−	28.7891i		−	1.15900i	0.814971	−	0.579502i	$-0.196753\pi$
$618$	−15.5022	+	26.4806i	−0.623589	+	1.06521i
$619$	17.8290	−	12.9535i	0.716607	−	0.520646i	−0.168691	−	0.985669i	$-0.553954\pi$
$619$	17.8290	−	12.9535i	0.716607	−	0.520646i	0.885298	+	0.465023i	$0.153954\pi$
$620$	2.06555	−	2.84298i	0.0829544	−	0.114177i
$621$	−0.906111	−	0.312638i	−0.0363610	−	0.0125457i
$622$	0.803516	−	0.261078i	0.0322180	−	0.0104683i
$623$	13.9883	+	10.1631i	0.560431	+	0.407177i
$624$	−2.80374	−	6.40087i	−0.112239	−	0.256240i
$625$	−1.38183	+	4.25284i	−0.0552732	+	0.170114i
$626$	2.32049			0.0927453
$627$	41.2011	+	11.8908i	1.64541	+	0.474874i
$628$	21.5557			0.860168
$629$	−8.13201	+	25.0277i	−0.324244	+	0.997922i
$630$	4.48578	−	0.897103i	0.178718	−	0.0357414i
$631$	28.0280	+	20.3635i	1.11578	+	0.810660i	0.983564	−	0.180561i	$-0.0577914\pi$
$631$	28.0280	+	20.3635i	1.11578	+	0.810660i	0.132214	+	0.991221i	$0.457791\pi$
$632$	9.19500	−	2.98764i	0.365758	−	0.118842i
$633$	42.0448	−	4.16301i	1.67113	−	0.165465i
$634$	−9.11564	+	12.5466i	−0.362029	+	0.498289i
$635$	19.0360	−	13.8305i	0.755421	−	0.548846i
$636$	2.30762	+	1.35091i	0.0915029	+	0.0535672i
$637$		−	4.03452i		−	0.159853i
$638$	−5.56000	+	6.68446i	−0.220123	+	0.264640i
$639$	−6.99496	+	15.2146i	−0.276716	+	0.601881i
$640$	1.45024	+	0.471210i	0.0573256	+	0.0186262i
$641$	−1.91661	−	2.63799i	−0.0757015	−	0.104194i	0.769487	−	0.638662i	$-0.220512\pi$
$641$	−1.91661	−	2.63799i	−0.0757015	−	0.104194i	−0.845189	+	0.534468i	$0.820512\pi$
$642$	20.1126	+	22.6099i	0.793781	+	0.892341i
$643$	8.35759	+	25.7220i	0.329591	+	1.01438i	0.969325	+	0.245781i	$0.0790445\pi$
$643$	8.35759	+	25.7220i	0.329591	+	1.01438i	−0.639734	+	0.768596i	$0.720956\pi$
$644$	−0.0570041	−	0.175441i	−0.00224628	−	0.00691333i
$645$	5.52729	+	6.21359i	0.217637	+	0.244660i
$646$	27.3596	+	37.6573i	1.07645	+	1.48161i
$647$	4.27339	+	1.38851i	0.168004	+	0.0545879i	0.391811	−	0.920046i	$-0.371849\pi$
$647$	4.27339	+	1.38851i	0.168004	+	0.0545879i	−0.223807	+	0.974633i	$0.571849\pi$
$648$	5.85918	+	6.83155i	0.230170	+	0.268368i
$649$	6.99977	−	17.5424i	0.274765	−	0.688598i
$650$			10.7914i			0.423275i
$651$	3.44472	+	2.01659i	0.135009	+	0.0790364i
$652$	5.33274	−	3.87446i	0.208846	−	0.151736i
$653$	−16.6650	+	22.9374i	−0.652151	+	0.897608i	−0.999190	−	0.0402423i	$-0.987187\pi$
$653$	−16.6650	+	22.9374i	−0.652151	+	0.897608i	0.347039	+	0.937851i	$0.387187\pi$
$654$	6.13924	−	0.607869i	0.240063	−	0.0237696i
$655$	23.2268	−	7.54686i	0.907548	−	0.294880i
$656$	2.03409	+	1.47785i	0.0794179	+	0.0577005i
$657$	4.87723	+	24.3876i	0.190279	+	0.951452i
$658$	−3.19792	+	9.84219i	−0.124668	+	0.383688i
$659$	−28.1230			−1.09552			−0.547758	−	0.836637i	$-0.684518\pi$
$659$	−28.1230			−1.09552			−0.547758	+	0.836637i	$0.684518\pi$
$660$	8.23656	−	2.98186i	0.320608	−	0.116069i
$661$	24.0207			0.934296			0.467148	−	0.884179i	$-0.345282\pi$
$661$	24.0207			0.934296			0.467148	+	0.884179i	$0.345282\pi$
$662$	4.09679	−	12.6086i	0.159226	−	0.490048i
$663$	−17.4825	−	39.9121i	−0.678965	−	1.55006i
$664$	−5.12306	−	3.72212i	−0.198813	−	0.144446i
$665$	−10.8259	+	3.51755i	−0.419810	+	0.136405i
$666$	1.47514	−	12.5748i	0.0571605	−	0.487265i
$667$	−0.284246	+	0.391231i	−0.0110061	+	0.0151485i
$668$	−5.46993	+	3.97414i	−0.211638	+	0.153764i
$669$	−24.4052	+	41.6887i	−0.943559	+	1.61178i
$670$		−	1.33571i		−	0.0516028i
$671$	−20.0332	+	12.6385i	−0.773373	+	0.487905i
$672$	−0.370319	+	1.69200i	−0.0142854	+	0.0652703i
$673$	23.2388	+	7.55074i	0.895789	+	0.291060i	0.720498	−	0.693457i	$-0.243913\pi$
$673$	23.2388	+	7.55074i	0.895789	+	0.291060i	0.175291	+	0.984517i	$0.443913\pi$
$674$	−6.27116	−	8.63151i	−0.241556	−	0.332473i
$675$	−4.05517	−	13.2938i	−0.156083	−	0.511679i
$676$	−1.01276	−	3.11694i	−0.0389522	−	0.119882i
$677$	−1.05004	−	3.23170i	−0.0403565	−	0.124204i	0.928849	−	0.370460i	$-0.120800\pi$
$677$	−1.05004	−	3.23170i	−0.0403565	−	0.124204i	−0.969205	+	0.246255i	$0.920800\pi$
$678$	7.97755	−	7.09642i	0.306376	−	0.272536i
$679$	−8.26493	−	11.3757i	−0.317179	−	0.436559i
$680$	9.04284	+	2.93820i	0.346777	+	0.112675i
$681$	−32.0806	−	7.02131i	−1.22933	−	0.269057i
$682$	7.09901	+	2.83265i	0.271835	+	0.108468i
$683$			24.6752i			0.944171i	0.881553	+	0.472086i	$0.156499\pi$
$683$			24.6752i			0.944171i	−0.881553	+	0.472086i	$0.843501\pi$
$684$	−16.4607	−	15.1845i	−0.629390	−	0.580596i
$685$	−14.4255	+	10.4808i	−0.551171	+	0.400449i
$686$	−0.587785	+	0.809017i	−0.0224417	+	0.0308884i
$687$	0.446185	+	4.50629i	0.0170230	+	0.171926i
$688$	−2.99460	+	0.973006i	−0.114168	+	0.0370955i
$689$	5.03899	+	3.66104i	0.191970	+	0.139475i
$690$	0.446276	−	0.195480i	0.0169894	−	0.00744180i
$691$	−7.15933	+	22.0342i	−0.272354	+	0.838219i	0.717554	+	0.696503i	$0.245262\pi$
$691$	−7.15933	+	22.0342i	−0.272354	+	0.838219i	−0.989907	+	0.141716i	$0.954738\pi$
$692$	−19.1145			−0.726622
$693$	4.29235	+	8.97640i	0.163053	+	0.340985i
$694$	18.0645			0.685720
$695$	3.67513	−	11.3109i	0.139406	−	0.429046i
$696$	4.15910	−	1.82179i	0.157650	−	0.0690547i
$697$	12.6834	+	9.21505i	0.480419	+	0.349045i
$698$	−7.72989	+	2.51159i	−0.292581	+	0.0950652i
$699$	4.67396	+	47.2051i	0.176785	+	1.78546i
$700$	1.57219	−	2.16394i	0.0594233	−	0.0817892i
$701$	3.57409	−	2.59672i	0.134991	−	0.0980769i	−0.518240	−	0.855235i	$-0.673413\pi$
$701$	3.57409	−	2.59672i	0.134991	−	0.0980769i	0.653232	+	0.757158i	$0.273413\pi$
$702$	12.0136	+	17.1803i	0.453425	+	0.648427i
$703$			31.5046i			1.18822i
$704$	−0.217092	+	3.30951i	−0.00818197	+	0.124732i
$705$	−26.7004	−	5.84378i	−1.00560	−	0.220090i
$706$	−2.09946	−	0.682155i	−0.0790141	−	0.0256732i
$707$	5.84109	+	8.03957i	0.219677	+	0.302359i
$708$	−7.36973	+	6.55573i	−0.276971	+	0.246379i
$709$	8.24757	+	25.3834i	0.309744	+	0.953294i	0.977864	+	0.209241i	$0.0670992\pi$
$709$	8.24757	+	25.3834i	0.309744	+	0.953294i	−0.668120	+	0.744053i	$0.732901\pi$
$710$	−2.63023	−	8.09501i	−0.0987107	−	0.303800i
$711$	−25.2917	+	14.1984i	−0.948513	+	0.532483i
$712$	−10.1631	−	13.9883i	−0.380879	−	0.524235i
$713$	0.404310	+	0.131368i	0.0151415	+	0.00491978i
$714$	−2.30910	+	10.5503i	−0.0864158	+	0.394837i
$715$	19.7767	−	5.02153i	0.739606	−	0.187795i
$716$		−	0.309813i		−	0.0115783i
$717$	−5.90470	+	10.0863i	−0.220515	+	0.376681i
$718$	27.3203	−	19.8494i	1.01959	−	0.740772i
$719$	16.9299	−	23.3020i	0.631377	−	0.869017i	−0.366742	−	0.930323i	$-0.619527\pi$
$719$	16.9299	−	23.3020i	0.631377	−	0.869017i	0.998119	+	0.0613063i	$0.0195267\pi$
$720$	−4.54345	−	0.532987i	−0.169324	−	0.0198633i
$721$	16.8487	−	5.47446i	0.627477	−	0.203880i
$722$	29.7111	+	21.5864i	1.10573	+	0.803362i
$723$	−1.58540	−	3.61942i	−0.0589616	−	0.134608i
$724$	2.27242	−	6.99378i	0.0844537	−	0.259922i
$725$	−7.01196			−0.260418
$726$	10.6950	+	15.7676i	0.396928	+	0.585191i
$727$	−19.9572			−0.740170			−0.370085	−	0.928998i	$-0.620671\pi$
$727$	−19.9572			−0.740170			−0.370085	+	0.928998i	$0.620671\pi$
$728$	−1.24674	+	3.83706i	−0.0462071	+	0.142211i
$729$	−21.2553	−	16.6496i	−0.787235	−	0.616654i
$730$	−10.2271	−	7.43045i	−0.378523	−	0.275013i
$731$	−18.6726	+	6.06711i	−0.690632	+	0.224400i
$732$	12.3098	−	1.21884i	0.454984	−	0.0450496i
$733$	19.9569	−	27.4684i	0.737126	−	1.01457i	−0.261653	−	0.965162i	$-0.584268\pi$
$733$	19.9569	−	27.4684i	0.737126	−	1.01457i	0.998779	−	0.0494049i	$-0.0157325\pi$
$734$	−7.02805	+	5.10617i	−0.259410	+	0.188472i
$735$	−2.27930	−	1.33434i	−0.0840733	−	0.0492178i
$736$			0.184469i			0.00679962i
$737$	2.81584	−	0.714974i	0.103723	−	0.0263364i
$738$	−6.85323	−	3.15079i	−0.252271	−	0.115982i
$739$	9.46131	+	3.07416i	0.348040	+	0.113085i	0.477820	−	0.878458i	$-0.341427\pi$
$739$	9.46131	+	3.07416i	0.348040	+	0.113085i	−0.129780	+	0.991543i	$0.541427\pi$
$740$	3.78269	+	5.20642i	0.139054	+	0.191392i
$741$	−34.6707	−	38.9757i	−1.27366	−	1.43181i
$742$	−0.477064	−	1.46825i	−0.0175136	−	0.0539012i
$743$	5.16943	+	15.9099i	0.189648	+	0.583677i	0.999997	−	0.00227025i	$-0.000722643\pi$
$743$	5.16943	+	15.9099i	0.189648	+	0.583677i	−0.810349	+	0.585947i	$0.800723\pi$
$744$	−2.65296	−	2.98237i	−0.0972622	−	0.109339i
$745$	−12.5283	−	17.2437i	−0.459000	−	0.631759i
$746$	−33.1384	−	10.7673i	−1.21328	−	0.394220i
$747$	17.2605	+	7.93558i	0.631530	+	0.290348i
$748$	−1.35366	+	20.6362i	−0.0494948	+	0.754535i
$749$		−	17.4712i		−	0.638382i
$750$	17.4931	+	10.2407i	0.638759	+	0.373939i
$751$	−7.85007	+	5.70341i	−0.286453	+	0.208120i	−0.721727	−	0.692178i	$-0.756652\pi$
$751$	−7.85007	+	5.70341i	−0.286453	+	0.208120i	0.435274	+	0.900298i	$0.356652\pi$
$752$	6.08281	−	8.37227i	0.221817	−	0.305305i
$753$	20.8283	−	2.06228i	0.759024	−	0.0751538i
$754$	10.0589	−	3.26833i	0.366323	−	0.119026i
$755$	14.1222	+	10.2604i	0.513958	+	0.373413i
$756$	0.0939576	−	5.19530i	0.00341720	−	0.188951i
$757$	−4.90838	+	15.1064i	−0.178398	+	0.549053i	−0.999772	−	0.0213369i	$-0.993208\pi$
$757$	−4.90838	+	15.1064i	−0.178398	+	0.549053i	0.821374	+	0.570390i	$0.193208\pi$
$758$	−3.72134			−0.135165
$759$	0.650978	+	0.836170i	0.0236290	+	0.0303510i
$760$	11.3830			0.412905
$761$	10.0231	−	30.8479i	0.363337	−	1.11824i	−0.587679	−	0.809094i	$-0.699958\pi$
$761$	10.0231	−	30.8479i	0.363337	−	1.11824i	0.951016	−	0.309141i	$-0.100042\pi$
$762$	−10.7234	−	24.4812i	−0.388467	−	0.886861i
$763$	−2.88158	−	2.09359i	−0.104320	−	0.0757929i
$764$	−1.99311	+	0.647601i	−0.0721082	+	0.0234294i
$765$	−28.3304	−	3.32340i	−1.02429	−	0.120158i
$766$	3.87020	−	5.32687i	0.139836	−	0.192468i
$767$	−18.5876	+	13.5047i	−0.671160	+	0.487626i
$768$	0.875051	−	1.49475i	0.0315757	−	0.0539372i
$769$		−	14.4909i		−	0.522554i	−0.965264	−	0.261277i	$-0.915856\pi$
$769$		−	14.4909i		−	0.522554i	0.965264	−	0.261277i	$-0.0841437\pi$
$770$	−4.69728	−	1.87431i	−0.169278	−	0.0675455i
$771$	8.14353	−	37.2081i	0.293282	−	1.34002i
$772$	−19.4787	−	6.32900i	−0.701052	−	0.227786i
$773$	1.23867	+	1.70489i	0.0445519	+	0.0613205i	0.830712	−	0.556703i	$-0.187934\pi$
$773$	1.23867	+	1.70489i	0.0445519	+	0.0613205i	−0.786160	+	0.618023i	$0.787934\pi$
$774$	8.23694	−	4.62411i	0.296071	−	0.166210i
$775$	1.90482	+	5.86243i	0.0684231	+	0.210585i
$776$	4.34513	+	13.3729i	0.155981	+	0.480060i
$777$	−5.46168	+	4.85843i	−0.195937	+	0.174295i
$778$	10.3226	+	14.2078i	0.370082	+	0.509374i
$779$	17.8502	+	5.79989i	0.639551	+	0.207803i
$780$	−10.4094	−	2.27825i	−0.372715	−	0.0815743i
$781$	15.6574	−	9.87794i	0.560266	−	0.353460i
$782$			1.15024i			0.0411326i
$783$	−11.1632	+	7.80610i	−0.398941	+	0.278967i
$784$	0.809017	−	0.587785i	0.0288935	−	0.0209923i
$785$	19.3203	−	26.5921i	0.689572	−	0.949114i
$786$	−2.73331	−	27.6054i	−0.0974939	−	0.984651i
$787$	40.2401	−	13.0748i	1.43440	−	0.466066i	0.514256	−	0.857637i	$-0.328068\pi$
$787$	40.2401	−	13.0748i	1.43440	−	0.466066i	0.920148	+	0.391571i	$0.128068\pi$
$788$	−15.8667	−	11.5279i	−0.565230	−	0.410663i
$789$	−45.3183	+	19.8506i	−1.61337	+	0.706699i
$790$	4.55575	−	14.0212i	0.162086	−	0.498851i
$791$	−6.16443			−0.219182
$792$	−1.30840	−	9.86347i	−0.0464921	−	0.350483i
$793$	28.8138			1.02321
$794$	−10.7817	+	33.1826i	−0.382628	+	1.17761i
$795$	3.73485	−	1.63596i	0.132462	−	0.0580215i
$796$	7.62265	+	5.53818i	0.270178	+	0.196296i
$797$	12.4545	−	4.04671i	0.441161	−	0.143342i	−0.0800104	−	0.996794i	$-0.525495\pi$
$797$	12.4545	−	4.04671i	0.441161	−	0.143342i	0.521171	+	0.853452i	$0.325495\pi$
$798$	1.27398	+	12.8667i	0.0450984	+	0.455476i
$799$	37.9289	−	52.2047i	1.34183	−	1.84687i
$800$	−2.16394	+	1.57219i	−0.0765068	+	0.0555854i
$801$	38.1269	+	35.1710i	1.34715	+	1.24271i
$802$			16.8486i			0.594944i
$803$	10.1900	−	25.5375i	0.359596	−	0.901198i
$804$	−1.48210	−	0.324380i	−0.0522698	−	0.0114400i
$805$	−0.267524	−	0.0869238i	−0.00942898	−	0.00306366i
$806$	−5.46506	−	7.52201i	−0.192498	−	0.264951i
$807$	−9.52631	+	8.47411i	−0.335342	+	0.298303i
$808$	−3.07084	−	9.45108i	−0.108032	−	0.332488i
$809$	−14.9643	−	46.0554i	−0.526116	−	1.61922i	−0.762097	−	0.647462i	$-0.775830\pi$
$809$	−14.9643	−	46.0554i	−0.526116	−	1.61922i	0.235981	−	0.971758i	$-0.424170\pi$
$810$	13.6793	−	1.10506i	0.480640	−	0.0388280i
$811$	4.50848	+	6.20540i	0.158314	+	0.217901i	0.880804	−	0.473480i	$-0.157003\pi$
$811$	4.50848	+	6.20540i	0.158314	+	0.217901i	−0.722490	+	0.691381i	$0.757003\pi$
$812$	−2.49321	−	0.810092i	−0.0874944	−	0.0284287i
$813$	6.26141	−	28.6086i	0.219597	−	1.00335i
$814$	−8.95101	+	10.7613i	−0.313733	+	0.377182i
$815$		−	10.0514i		−	0.352084i
$816$	5.45632	−	9.32042i	0.191009	−	0.326280i
$817$	−19.0158	+	13.8158i	−0.665280	+	0.483354i
$818$	−6.97782	+	9.60414i	−0.243974	+	0.335801i
$819$	1.41019	−	12.0211i	0.0492759	−	0.420052i
$820$	3.64629	−	1.18475i	0.127334	−	0.0413733i
$821$	33.9229	+	24.6464i	1.18392	+	0.860166i	0.992608	−	0.121364i	$-0.0387269\pi$
$821$	33.9229	+	24.6464i	1.18392	+	0.860166i	0.191309	+	0.981530i	$0.438727\pi$
$822$	8.12621	+	18.5519i	0.283434	+	0.647072i
$823$	12.7744	−	39.3155i	0.445287	−	1.37045i	−0.436881	−	0.899519i	$-0.643917\pi$
$823$	12.7744	−	39.3155i	0.445287	−	1.37045i	0.882168	−	0.470934i	$-0.156083\pi$
$824$	−17.7157			−0.617157
$825$	−4.26064	+	14.7629i	−0.148336	+	0.513978i
$826$	5.69475			0.198146
$827$	−7.23021	+	22.2523i	−0.251419	+	0.773788i	0.743095	+	0.669186i	$0.233357\pi$
$827$	−7.23021	+	22.2523i	−0.251419	+	0.773788i	−0.994514	+	0.104602i	$0.966643\pi$
$828$	−0.108526	−	0.542662i	−0.00377154	−	0.0188588i
$829$	12.1533	+	8.82987i	0.422101	+	0.306674i	0.778482	−	0.627666i	$-0.215990\pi$
$829$	12.1533	+	8.82987i	0.422101	+	0.306674i	−0.356382	+	0.934340i	$0.615990\pi$
$830$	−9.18356	+	2.98392i	−0.318766	+	0.103573i
$831$	−1.05238	+	0.104200i	−0.0365067	+	0.00361467i
$832$	2.37143	−	3.26400i	0.0822146	−	0.113159i
$833$	5.04457	−	3.66509i	0.174784	−	0.126988i
$834$	−11.6581	−	6.82482i	−0.403686	−	0.236324i
$835$			10.3100i			0.356791i
$836$	6.09308	+	23.9969i	0.210734	+	0.829949i
$837$	9.55891	+	7.21260i	0.330404	+	0.249304i
$838$	−33.2814	−	10.8138i	−1.14969	−	0.373556i
$839$	14.8256	+	20.4057i	0.511836	+	0.704482i	0.984228	−	0.176907i	$-0.0566092\pi$
$839$	14.8256	+	20.4057i	0.511836	+	0.704482i	−0.472392	+	0.881389i	$0.656609\pi$
$840$	1.75541	+	1.97337i	0.0605674	+	0.0680879i
$841$	−6.83783	−	21.0447i	−0.235787	−	0.725678i
$842$	−8.25159	−	25.3958i	−0.284369	−	0.875196i
$843$	11.5047	+	12.9332i	0.396242	+	0.445442i
$844$	14.3380	+	19.7346i	0.493535	+	0.679292i
$845$	−4.75293	−	1.54432i	−0.163506	−	0.0531263i
$846$	−12.9686	+	28.2077i	−0.445868	+	0.969801i
$847$	1.43694	−	10.9057i	0.0493738	−	0.374726i
$848$			1.54381i			0.0530147i
$849$	−1.03404	−	0.605343i	−0.0354882	−	0.0207753i
$850$	−13.4931	+	9.80330i	−0.462809	+	0.336250i
$851$	−0.457606	+	0.629841i	−0.0156865	+	0.0215907i
$852$	−9.62101	+	0.952612i	−0.329610	+	0.0326359i
$853$	−7.26973	+	2.36208i	−0.248911	+	0.0808761i	−0.430815	−	0.902440i	$-0.641774\pi$
$853$	−7.26973	+	2.36208i	−0.248911	+	0.0808761i	0.181904	+	0.983316i	$0.441774\pi$
$854$	−5.77786	−	4.19786i	−0.197714	−	0.143648i
$855$	−33.4860	+	6.69679i	−1.14520	+	0.229026i
$856$	−5.39888	+	16.6161i	−0.184530	+	0.567925i
$857$	−35.8005			−1.22292			−0.611462	−	0.791274i	$-0.709418\pi$
$857$	−35.8005			−1.22292			−0.611462	+	0.791274i	$0.709418\pi$
$858$	−0.769077	−	23.1638i	−0.0262558	−	0.790799i
$859$	−33.9067			−1.15688			−0.578441	−	0.815724i	$-0.696339\pi$
$859$	−33.9067			−1.15688			−0.578441	+	0.815724i	$0.696339\pi$
$860$	−1.48371	+	4.56638i	−0.0505940	+	0.155712i
$861$	1.74726	+	3.98896i	0.0595466	+	0.135943i
$862$	−11.1716	−	8.11665i	−0.380507	−	0.276454i
$863$	52.0489	−	16.9117i	1.77177	−	0.575681i	0.773458	−	0.633847i	$-0.218525\pi$
$863$	52.0489	−	16.9117i	1.77177	−	0.575681i	0.998307	+	0.0581657i	$0.0185252\pi$
$864$	−1.69480	+	4.91199i	−0.0576581	+	0.167109i
$865$	−17.1322	+	23.5804i	−0.582512	+	0.801759i
$866$	−16.2136	+	11.7798i	−0.550959	+	0.400295i
$867$	19.1466	−	32.7060i	0.650253	−	1.11075i
$868$			2.30454i			0.0782212i
$869$	31.9970	+	2.09889i	1.08542	+	0.0711999i
$870$	1.48034	−	6.76371i	0.0501881	−	0.229311i
$871$	−3.36106	−	1.09207i	−0.113885	−	0.0370035i
$872$	2.09359	+	2.88158i	0.0708978	+	0.0975824i
$873$	−20.6498	−	36.7835i	−0.698889	−	1.24493i
$874$	0.425531	+	1.30965i	0.0143938	+	0.0442995i
$875$	−3.61643	−	11.1302i	−0.122258	−	0.376271i
$876$	−10.7285	+	9.54356i	−0.362484	+	0.322447i
$877$	−11.5993	−	15.9651i	−0.391681	−	0.539102i	0.566951	−	0.823752i	$-0.308123\pi$
$877$	−11.5993	−	15.9651i	−0.391681	−	0.539102i	−0.958632	+	0.284649i	$0.908123\pi$
$878$	−1.32614	−	0.430890i	−0.0447552	−	0.0145418i
$879$	19.7702	+	4.32700i	0.666833	+	0.145946i
$880$	3.88818	+	3.23411i	0.131071	+	0.109022i
$881$		−	21.3054i		−	0.717797i	−0.933377	−	0.358898i	$-0.883153\pi$
$881$		−	21.3054i		−	0.717797i	0.933377	−	0.358898i	$-0.116847\pi$
$882$	−2.03412	+	2.20507i	−0.0684925	+	0.0742487i
$883$	−1.40301	+	1.01934i	−0.0472150	+	0.0343037i	−0.611142	−	0.791521i	$-0.709290\pi$
$883$	−1.40301	+	1.01934i	−0.0472150	+	0.0343037i	0.563927	+	0.825824i	$0.309290\pi$
$884$	14.7869	−	20.3524i	0.497337	−	0.684525i
$885$	1.48199	+	14.9675i	0.0498165	+	0.503127i
$886$	−13.3318	+	4.33175i	−0.447889	+	0.145528i
$887$	30.1725	+	21.9216i	1.01309	+	0.736056i	0.964856	−	0.262780i	$-0.0846392\pi$
$887$	30.1725	+	21.9216i	1.01309	+	0.736056i	0.0482387	+	0.998836i	$0.484639\pi$
$888$	6.69570	−	2.93289i	0.224693	−	0.0984212i
$889$	−4.76835	+	14.6755i	−0.159925	+	0.492200i
$890$	−26.3658			−0.883783
$891$	9.65182	+	28.2461i	0.323348	+	0.946280i
$892$	−27.8900			−0.933826
$893$	23.8722	−	73.4711i	0.798853	−	2.45862i
$894$	−22.1762	+	9.71372i	−0.741682	+	0.324875i
$895$	−0.382200	−	0.277684i	−0.0127755	−	0.00928196i
$896$	−0.951057	+	0.309017i	−0.0317726	+	0.0103235i
$897$	−0.127014	−	1.28280i	−0.00424089	−	0.0428313i
$898$	2.68302	−	3.69287i	0.0895337	−	0.123233i
$899$	4.88758	−	3.55103i	0.163010	−	0.118434i
$900$	5.44082	−	5.89808i	0.181361	−	0.196603i
$901$			9.62632i			0.320699i
$902$	4.44939	+	7.05268i	0.148148	+	0.234828i
$903$	−5.32762	−	1.16603i	−0.177292	−	0.0388030i
$904$	5.86272	+	1.90491i	0.194991	+	0.0633564i
$905$	−6.59108	−	9.07185i	−0.219095	−	0.301558i
$906$	14.8145	−	13.1783i	0.492180	−	0.437818i
$907$	−2.86116	−	8.80575i	−0.0950033	−	0.292390i	0.892251	−	0.451539i	$-0.149125\pi$
$907$	−2.86116	−	8.80575i	−0.0950033	−	0.292390i	−0.987255	+	0.159149i	$0.949125\pi$
$908$	−5.85901	−	18.0322i	−0.194438	−	0.598419i
$909$	14.5938	+	25.9961i	0.484047	+	0.862235i
$910$	3.61612	+	4.97716i	0.119873	+	0.164991i
$911$	10.6251	+	3.45232i	0.352026	+	0.114380i	0.479692	−	0.877437i	$-0.340748\pi$
$911$	10.6251	+	3.45232i	0.352026	+	0.114380i	−0.127666	+	0.991817i	$0.540748\pi$
$912$	2.76440	−	12.6306i	0.0915385	−	0.418242i
$913$	−11.2062	−	17.7629i	−0.370872	−	0.587866i
$914$			36.8927i			1.22030i
$915$	9.52961	−	16.2784i	0.315039	−	0.538146i
$916$	−2.11512	+	1.53672i	−0.0698855	+	0.0507748i
$917$	−9.41391	+	12.9571i	−0.310875	+	0.427882i
$918$	−10.5678	+	30.6284i	−0.348789	+	1.01089i
$919$	−33.2516	+	10.8041i	−1.09687	+	0.356394i	−0.800896	−	0.598803i	$-0.795643\pi$
$919$	−33.2516	+	10.8041i	−1.09687	+	0.356394i	−0.295971	+	0.955197i	$0.595643\pi$
$920$	0.227569	+	0.165339i	0.00750274	+	0.00545106i
$921$	4.26690	+	9.74122i	0.140599	+	0.320984i
$922$	−7.69806	+	23.6922i	−0.253522	+	0.780260i
$923$	−22.5201			−0.741258
$924$	−3.22049	+	4.75694i	−0.105946	+	0.156492i
$925$	−11.2885			−0.371164
$926$	10.5592	−	32.4980i	0.346998	−	1.06795i
$927$	52.1152	−	10.4224i	1.71169	−	0.342317i
$928$	2.12085	+	1.54089i	0.0696203	+	0.0505821i
$929$	−50.7260	+	16.4819i	−1.66426	+	0.540752i	−0.981759	−	0.190128i	$-0.939110\pi$
$929$	−50.7260	+	16.4819i	−1.66426	+	0.540752i	−0.682505	+	0.730881i	$0.739110\pi$
$930$	−6.05702	+	0.599728i	−0.198617	+	0.0196658i
$931$	4.38777	−	6.03924i	0.143803	−	0.197928i
$932$	−22.1567	+	16.0978i	−0.725766	+	0.527300i
$933$	−1.26287	−	0.739301i	−0.0413444	−	0.0242036i
$934$		−	2.27612i		−	0.0744768i
$935$	24.2445	+	20.1661i	0.792879	+	0.659502i
$936$	−5.05590	+	10.9970i	−0.165257	+	0.359448i
$937$	44.4359	+	14.4381i	1.45166	+	0.471673i	0.925511	−	0.378720i	$-0.123636\pi$
$937$	44.4359	+	14.4381i	1.45166	+	0.471673i	0.526148	+	0.850393i	$0.323636\pi$
$938$	0.514869	+	0.708657i	0.0168111	+	0.0231385i
$939$	−2.67132	−	3.00300i	−0.0871751	−	0.0979993i
$940$	−4.87641	−	15.0080i	−0.159051	−	0.489508i
$941$	1.45899	+	4.49030i	0.0475616	+	0.146380i	0.972017	−	0.234911i	$-0.0754798\pi$
$941$	1.45899	+	4.49030i	0.0475616	+	0.146380i	−0.924455	+	0.381290i	$0.875480\pi$
$942$	−24.8147	−	27.8959i	−0.808507	−	0.908897i
$943$	0.272618	+	0.375227i	0.00887767	+	0.0122191i
$944$	−5.41603	−	1.75977i	−0.176277	−	0.0572758i
$945$	−6.32494	−	4.77244i	−0.205750	−	0.155247i
$946$	−10.4207	−	0.683561i	−0.338806	−	0.0222245i
$947$		−	6.85710i		−	0.222826i	−0.993774	−	0.111413i	$-0.964462\pi$
$947$		−	6.85710i		−	0.222826i	0.993774	−	0.111413i	$-0.0355376\pi$
$948$	−14.4516	−	8.46017i	−0.469365	−	0.274773i
$949$	−27.0591	+	19.6596i	−0.878376	+	0.638177i
$950$	−11.7363	+	16.1536i	−0.380776	+	0.524093i
$951$	26.7307	−	2.64671i	0.866803	−	0.0858254i
$952$	−5.93024	+	1.92685i	−0.192200	+	0.0624497i
$953$	9.34017	+	6.78603i	0.302558	+	0.219821i	0.728697	−	0.684837i	$-0.240126\pi$
$953$	9.34017	+	6.78603i	0.302558	+	0.219821i	−0.426139	+	0.904658i	$0.640126\pi$
$954$	−0.908247	−	4.54151i	−0.0294056	−	0.147037i
$955$	−0.987506	+	3.03923i	−0.0319549	+	0.0983472i
$956$	−6.74783			−0.218241
$957$	15.0512	−	0.499724i	0.486535	−	0.0161538i
$958$	−13.4077			−0.433183
$959$	3.61347	−	11.1211i	0.116685	−	0.359119i
$960$	−1.05969	−	2.41924i	−0.0342013	−	0.0780807i
$961$	20.7829	+	15.0997i	0.670417	+	0.487086i
$962$	16.1937	−	5.26167i	0.522107	−	0.169643i
$963$	6.10669	−	52.0565i	0.196785	−	1.67750i
$964$	1.34094	−	1.84565i	0.0431889	−	0.0594444i
$965$	−25.2664	+	18.3571i	−0.813353	+	0.590935i
$966$	−0.161420	+	0.275736i	−0.00519360	+	0.00887165i
$967$			49.1133i			1.57938i	0.613509	+	0.789688i	$0.289758\pi$
$967$			49.1133i			1.57938i	−0.613509	+	0.789688i	$0.710242\pi$
$968$	−4.73667	+	9.92794i	−0.152242	+	0.319096i
$969$	17.2372	−	78.7574i	0.553739	−	2.53005i
$970$	20.3920	+	6.62575i	0.654747	+	0.212740i
$971$	24.2466	+	33.3726i	0.778111	+	1.07098i	0.995488	+	0.0948903i	$0.0302500\pi$
$971$	24.2466	+	33.3726i	0.778111	+	1.07098i	−0.217377	+	0.976088i	$0.569750\pi$
$972$	2.09587	−	15.4469i	0.0672250	−	0.495460i
$973$	2.41013	+	7.41761i	0.0772651	+	0.237798i
$974$	−3.35722	−	10.3325i	−0.107572	−	0.331073i
$975$	13.9655	−	12.4230i	0.447254	−	0.397854i
$976$	4.19786	+	5.77786i	0.134370	+	0.184945i
$977$	−33.7443	−	10.9642i	−1.07958	−	0.350776i	−0.285367	−	0.958418i	$-0.592115\pi$
$977$	−33.7443	−	10.9642i	−1.07958	−	0.350776i	−0.794211	+	0.607643i	$0.792115\pi$
$978$	−11.1530	−	2.44101i	−0.356635	−	0.0780547i
$979$	−14.1130	−	55.5824i	−0.451054	−	1.77642i
$980$		−	1.52487i		−	0.0487101i
$981$	−7.85408	−	7.24518i	−0.250761	−	0.231321i
$982$	11.5096	−	8.36223i	0.367287	−	0.266850i
$983$	17.9899	−	24.7610i	0.573789	−	0.789753i	−0.419208	−	0.907890i	$-0.637692\pi$
$983$	17.9899	−	24.7610i	0.573789	−	0.789753i	0.992997	+	0.118137i	$0.0376923\pi$
$984$	−0.429092	−	4.33366i	−0.0136789	−	0.138152i
$985$	−28.4426	+	9.24156i	−0.906256	+	0.294460i
$986$	13.2244	+	9.60809i	0.421151	+	0.305984i
$987$	16.4185	−	7.19170i	0.522605	−	0.228914i
$988$	9.30677	−	28.6433i	0.296088	−	0.911265i
$989$	−0.580840			−0.0184697
$990$	−13.3407	−	7.22648i	−0.423996	−	0.229673i
$991$	−22.0203			−0.699499			−0.349750	−	0.936843i	$-0.613733\pi$
$991$	−22.0203			−0.699499			−0.349750	+	0.936843i	$0.613733\pi$
$992$	0.712142	−	2.19175i	0.0226105	−	0.0695881i
$993$	−21.0334	+	9.21314i	−0.667473	+	0.292370i
$994$	4.51582	+	3.28093i	0.143233	+	0.104065i
$995$	13.6643	−	4.43980i	0.433187	−	0.140751i
$996$	1.08071	+	10.9148i	0.0342436	+	0.345848i
$997$	21.3413	−	29.3738i	0.675887	−	0.930278i	−0.323989	−	0.946061i	$-0.605024\pi$
$997$	21.3413	−	29.3738i	0.675887	−	0.930278i	0.999875	+	0.0157828i	$0.00502401\pi$
$998$	−27.6315	+	20.0755i	−0.874661	+	0.635478i
$999$	−17.9716	+	12.5670i	−0.568597	+	0.397602i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	462.2.w.a.365.3	yes	48
3.2	odd	2		462.2.w.b.365.4	yes	48
11.6	odd	10		462.2.w.b.281.4	yes	48
33.17	even	10	inner	462.2.w.a.281.3	✓	48

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
462.2.w.a.281.3	✓	48	33.17	even	10	inner
462.2.w.a.365.3	yes	48	1.1	even	1	trivial
462.2.w.b.281.4	yes	48	11.6	odd	10
462.2.w.b.365.4	yes	48	3.2	odd	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	462.w (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.309017 - 0.951057i) q^{2} +(-1.58652 + 0.694938i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-1.45024 + 0.471210i) q^{5} +(0.170662 + 1.72362i) q^{6} +(0.587785 - 0.809017i) q^{7} +(-0.809017 + 0.587785i) q^{8} +(2.03412 - 2.20507i) q^{9} +O(q^{10})\)	\(q+(0.309017 - 0.951057i) q^{2} +(-1.58652 + 0.694938i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-1.45024 + 0.471210i) q^{5} +(0.170662 + 1.72362i) q^{6} +(0.587785 - 0.809017i) q^{7} +(-0.809017 + 0.587785i) q^{8} +(2.03412 - 2.20507i) q^{9} +1.52487i q^{10} +(-3.21462 + 0.816229i) q^{11} +(1.69200 + 0.370319i) q^{12} +(3.83706 + 1.24674i) q^{13} +(-0.587785 - 0.809017i) q^{14} +(1.97337 - 1.75541i) q^{15} +(0.309017 + 0.951057i) q^{16} +(1.92685 + 5.93024i) q^{17} +(-1.46857 - 2.61597i) q^{18} +(4.38777 + 6.03924i) q^{19} +(1.45024 + 0.471210i) q^{20} +(-0.370319 + 1.69200i) q^{21} +(-0.217092 + 3.30951i) q^{22} +0.184469i q^{23} +(0.875051 - 1.49475i) q^{24} +(-2.16394 + 1.57219i) q^{25} +(2.37143 - 3.26400i) q^{26} +(-1.69480 + 4.91199i) q^{27} +(-0.951057 + 0.309017i) q^{28} +(2.12085 + 1.54089i) q^{29} +(-1.05969 - 2.41924i) q^{30} +(0.712142 - 2.19175i) q^{31} +1.00000 q^{32} +(4.53284 - 3.52893i) q^{33} +6.23543 q^{34} +(-0.471210 + 1.45024i) q^{35} +(-2.94175 + 0.588315i) q^{36} +(3.41434 + 2.48066i) q^{37} +(7.09956 - 2.30679i) q^{38} +(-6.95399 + 0.688540i) q^{39} +(0.896295 - 1.23364i) q^{40} +(2.03409 - 1.47785i) q^{41} +(1.49475 + 0.875051i) q^{42} +3.14871i q^{43} +(3.08045 + 1.22916i) q^{44} +(-1.91090 + 4.15638i) q^{45} +(0.175441 + 0.0570041i) q^{46} +(-6.08281 - 8.37227i) q^{47} +(-1.15119 - 1.29413i) q^{48} +(-0.309017 - 0.951057i) q^{49} +(0.826551 + 2.54386i) q^{50} +(-7.17815 - 8.06944i) q^{51} +(-2.37143 - 3.26400i) q^{52} +(1.46825 + 0.477064i) q^{53} +(4.14786 + 3.12974i) q^{54} +(4.27734 - 2.69849i) q^{55} +1.00000i q^{56} +(-11.1582 - 6.53218i) q^{57} +(2.12085 - 1.54089i) q^{58} +(-3.34729 + 4.60715i) q^{59} +(-2.62830 + 0.260238i) q^{60} +(6.79228 - 2.20694i) q^{61} +(-1.86441 - 1.35457i) q^{62} +(-0.588315 - 2.94175i) q^{63} +(0.309017 - 0.951057i) q^{64} -6.15211 q^{65} +(-1.95548 - 5.40149i) q^{66} -0.875948 q^{67} +(1.92685 - 5.93024i) q^{68} +(-0.128195 - 0.292665i) q^{69} +(1.23364 + 0.896295i) q^{70} +(-5.30866 + 1.72489i) q^{71} +(-0.349530 + 2.97957i) q^{72} +(-4.87284 + 6.70690i) q^{73} +(3.41434 - 2.48066i) q^{74} +(2.34057 - 3.99813i) q^{75} -7.46492i q^{76} +(-1.22916 + 3.08045i) q^{77} +(-1.49406 + 6.82641i) q^{78} +(-9.19500 - 2.98764i) q^{79} +(-0.896295 - 1.23364i) q^{80} +(-0.724695 - 8.97078i) q^{81} +(-0.776953 - 2.39122i) q^{82} +(1.95684 + 6.02252i) q^{83} +(1.29413 - 1.15119i) q^{84} +(-5.58878 - 7.69230i) q^{85} +(2.99460 + 0.973006i) q^{86} +(-4.43560 - 0.970797i) q^{87} +(2.12091 - 2.54985i) q^{88} +17.2905i q^{89} +(3.36245 + 3.10177i) q^{90} +(3.26400 - 2.37143i) q^{91} +(0.108428 - 0.149239i) q^{92} +(0.393298 + 3.97216i) q^{93} +(-9.84219 + 3.19792i) q^{94} +(-9.20905 - 6.69077i) q^{95} +(-1.58652 + 0.694938i) q^{96} +(4.34513 - 13.3729i) q^{97} -1.00000 q^{98} +(-4.73908 + 8.74878i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 48 q - 12 q^{2} - 4 q^{3} - 12 q^{4} + 6 q^{6} - 12 q^{8} + 10 q^{9}+O(q^{10}) \) 48 * q - 12 * q^2 - 4 * q^3 - 12 * q^4 + 6 * q^6 - 12 * q^8 + 10 * q^9	\( 48 q - 12 q^{2} - 4 q^{3} - 12 q^{4} + 6 q^{6} - 12 q^{8} + 10 q^{9} - 8 q^{11} + 6 q^{12} + 36 q^{15} - 12 q^{16} - 24 q^{17} + 30 q^{19} - 8 q^{22} - 4 q^{24} + 18 q^{25} - 20 q^{26} - 22 q^{27} + 8 q^{29} - 24 q^{30} - 32 q^{31} + 48 q^{32} - 14 q^{33} - 4 q^{34} + 6 q^{35} - 10 q^{36} - 20 q^{37} + 20 q^{38} - 6 q^{39} + 22 q^{44} + 12 q^{45} + 20 q^{46} + 20 q^{47} - 4 q^{48} + 12 q^{49} + 28 q^{50} + 8 q^{51} + 20 q^{52} + 20 q^{53} + 18 q^{54} + 16 q^{55} - 2 q^{57} + 8 q^{58} + 30 q^{59} - 4 q^{60} - 20 q^{61} + 8 q^{62} + 4 q^{63} - 12 q^{64} - 14 q^{66} + 36 q^{67} - 24 q^{68} - 70 q^{69} - 4 q^{70} + 10 q^{72} - 20 q^{73} - 20 q^{74} - 30 q^{75} - 16 q^{77} - 16 q^{78} - 20 q^{79} + 26 q^{81} - 10 q^{82} - 46 q^{83} - 10 q^{84} + 10 q^{85} - 30 q^{86} + 8 q^{87} - 8 q^{88} - 38 q^{90} - 36 q^{91} + 10 q^{92} - 36 q^{93} + 50 q^{95} - 4 q^{96} - 2 q^{97} - 48 q^{98} + 70 q^{99}+O(q^{100}) \) 48 * q - 12 * q^2 - 4 * q^3 - 12 * q^4 + 6 * q^6 - 12 * q^8 + 10 * q^9 - 8 * q^11 + 6 * q^12 + 36 * q^15 - 12 * q^16 - 24 * q^17 + 30 * q^19 - 8 * q^22 - 4 * q^24 + 18 * q^25 - 20 * q^26 - 22 * q^27 + 8 * q^29 - 24 * q^30 - 32 * q^31 + 48 * q^32 - 14 * q^33 - 4 * q^34 + 6 * q^35 - 10 * q^36 - 20 * q^37 + 20 * q^38 - 6 * q^39 + 22 * q^44 + 12 * q^45 + 20 * q^46 + 20 * q^47 - 4 * q^48 + 12 * q^49 + 28 * q^50 + 8 * q^51 + 20 * q^52 + 20 * q^53 + 18 * q^54 + 16 * q^55 - 2 * q^57 + 8 * q^58 + 30 * q^59 - 4 * q^60 - 20 * q^61 + 8 * q^62 + 4 * q^63 - 12 * q^64 - 14 * q^66 + 36 * q^67 - 24 * q^68 - 70 * q^69 - 4 * q^70 + 10 * q^72 - 20 * q^73 - 20 * q^74 - 30 * q^75 - 16 * q^77 - 16 * q^78 - 20 * q^79 + 26 * q^81 - 10 * q^82 - 46 * q^83 - 10 * q^84 + 10 * q^85 - 30 * q^86 + 8 * q^87 - 8 * q^88 - 38 * q^90 - 36 * q^91 + 10 * q^92 - 36 * q^93 + 50 * q^95 - 4 * q^96 - 2 * q^97 - 48 * q^98 + 70 * q^99

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