LMFDB - Embedded newform 462.2.w.a.29.10

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			29.10
Character	$\chi$	$=$	462.29
Dual form			462.2.w.a.239.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.809017 - 0.587785i) q^{2} +(1.61613 + 0.622992i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-1.77599 - 2.44445i) q^{5} +(-0.941292 - 1.45395i) q^{6} +(-0.951057 + 0.309017i) q^{7} +(0.309017 - 0.951057i) q^{8} +(2.22376 + 2.01367i) q^{9} +O(q^{10})$	\(q+(-0.809017 - 0.587785i) q^{2} +(1.61613 + 0.622992i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-1.77599 - 2.44445i) q^{5} +(-0.941292 - 1.45395i) q^{6} +(-0.951057 + 0.309017i) q^{7} +(0.309017 - 0.951057i) q^{8} +(2.22376 + 2.01367i) q^{9} +3.02150i q^{10} +(2.94868 - 1.51831i) q^{11} +(-0.0930884 + 1.72955i) q^{12} +(1.46625 - 2.01812i) q^{13} +(0.951057 + 0.309017i) q^{14} +(-1.34737 - 5.05698i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(2.63894 - 1.91731i) q^{17} +(-0.615454 - 2.93619i) q^{18} +(-2.06787 - 0.671891i) q^{19} +(1.77599 - 2.44445i) q^{20} +(-1.72955 - 0.0930884i) q^{21} +(-3.27798 - 0.504856i) q^{22} -7.69306i q^{23} +(1.09191 - 1.34452i) q^{24} +(-1.27608 + 3.92737i) q^{25} +(-2.37245 + 0.770854i) q^{26} +(2.33939 + 4.63975i) q^{27} +(-0.587785 - 0.809017i) q^{28} +(-2.83157 - 8.71467i) q^{29} +(-1.88237 + 4.88315i) q^{30} +(5.14339 + 3.73689i) q^{31} +1.00000 q^{32} +(5.71136 - 0.616780i) q^{33} -3.26192 q^{34} +(2.44445 + 1.77599i) q^{35} +(-1.22794 + 2.73718i) q^{36} +(1.36936 + 4.21446i) q^{37} +(1.27801 + 1.75903i) q^{38} +(3.62693 - 2.34809i) q^{39} +(-2.87362 + 0.933696i) q^{40} +(-3.00825 + 9.25845i) q^{41} +(1.34452 + 1.09191i) q^{42} -7.49755i q^{43} +(2.35519 + 2.33518i) q^{44} +(0.972929 - 9.01214i) q^{45} +(-4.52187 + 6.22382i) q^{46} +(9.50683 + 3.08896i) q^{47} +(-1.67366 + 0.445927i) q^{48} +(0.809017 - 0.587785i) q^{49} +(3.34082 - 2.42725i) q^{50} +(5.45935 - 1.45458i) q^{51} +(2.37245 + 0.770854i) q^{52} +(-5.92233 + 8.15138i) q^{53} +(0.834569 - 5.12869i) q^{54} +(-8.94827 - 4.51139i) q^{55} +1.00000i q^{56} +(-2.92336 - 2.37413i) q^{57} +(-2.83157 + 8.71467i) q^{58} +(-4.10255 + 1.33300i) q^{59} +(4.39311 - 2.84412i) q^{60} +(-1.82438 - 2.51104i) q^{61} +(-1.96460 - 6.04642i) q^{62} +(-2.73718 - 1.22794i) q^{63} +(-0.809017 - 0.587785i) q^{64} -7.53725 q^{65} +(-4.98312 - 2.85807i) q^{66} +11.5533 q^{67} +(2.63894 + 1.91731i) q^{68} +(4.79271 - 12.4330i) q^{69} +(-0.933696 - 2.87362i) q^{70} +(-6.23169 - 8.57719i) q^{71} +(2.60230 - 1.49266i) q^{72} +(-5.37184 + 1.74542i) q^{73} +(1.36936 - 4.21446i) q^{74} +(-4.50903 + 5.55215i) q^{75} -2.17428i q^{76} +(-2.33518 + 2.35519i) q^{77} +(-4.31442 - 0.232213i) q^{78} +(-1.33435 + 1.83658i) q^{79} +(2.87362 + 0.933696i) q^{80} +(0.890236 + 8.95586i) q^{81} +(7.87571 - 5.72204i) q^{82} +(-7.58632 + 5.51178i) q^{83} +(-0.445927 - 1.67366i) q^{84} +(-9.37350 - 3.04564i) q^{85} +(-4.40695 + 6.06565i) q^{86} +(0.852983 - 15.8481i) q^{87} +(-0.532804 - 3.27355i) q^{88} +11.7415i q^{89} +(-6.08432 + 6.71910i) q^{90} +(-0.770854 + 2.37245i) q^{91} +(7.31653 - 2.37729i) q^{92} +(5.98434 + 9.24360i) q^{93} +(-5.87554 - 8.08699i) q^{94} +(2.03012 + 6.24807i) q^{95} +(1.61613 + 0.622992i) q^{96} +(10.8358 + 7.87266i) q^{97} -1.00000 q^{98} +(9.61455 + 2.56133i) 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 $\left(\mathbb{Z}/462\mathbb{Z}\right)^\times$.

$n$	$155$	$199$	$211$
$\chi(n)$	$-1$	$1$	$e\left(\frac{7}{10}\right)$

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 $

$2$	−0.809017	−	0.587785i	−0.572061	−	0.415627i
$2$	−0.809017	−	0.587785i	−0.572061	−	0.415627i
$3$	1.61613	+	0.622992i	0.933074	+	0.359685i
$3$	1.61613	+	0.622992i	0.933074	+	0.359685i
$4$	0.309017	+	0.951057i	0.154508	+	0.475528i
$5$	−1.77599	−	2.44445i	−0.794249	−	1.09319i	−0.993566	−	0.113255i	$-0.963872\pi$
$5$	−1.77599	−	2.44445i	−0.794249	−	1.09319i	0.199317	−	0.979935i	$-0.436128\pi$
$6$	−0.941292	−	1.45395i	−0.384281	−	0.593572i
$7$	−0.951057	+	0.309017i	−0.359466	+	0.116797i
$7$	−0.951057	+	0.309017i	−0.359466	+	0.116797i
$8$	0.309017	−	0.951057i	0.109254	−	0.336249i
$9$	2.22376	+	2.01367i	0.741254	+	0.671225i
$10$			3.02150i			0.955483i
$11$	2.94868	−	1.51831i	0.889062	−	0.457787i
$11$	2.94868	−	1.51831i	0.889062	−	0.457787i
$12$	−0.0930884	+	1.72955i	−0.0268723	+	0.499277i
$13$	1.46625	−	2.01812i	0.406665	−	0.559727i	−0.555736	−	0.831359i	$-0.687563\pi$
$13$	1.46625	−	2.01812i	0.406665	−	0.559727i	0.962401	+	0.271632i	$0.0875635\pi$
$14$	0.951057	+	0.309017i	0.254181	+	0.0825883i
$15$	−1.34737	−	5.05698i	−0.347889	−	1.30571i
$16$	−0.809017	+	0.587785i	−0.202254	+	0.146946i
$17$	2.63894	−	1.91731i	0.640038	−	0.465015i	−0.219825	−	0.975539i	$-0.570549\pi$
$17$	2.63894	−	1.91731i	0.640038	−	0.465015i	0.859863	+	0.510524i	$0.170549\pi$
$18$	−0.615454	−	2.93619i	−0.145064	−	0.692067i
$19$	−2.06787	−	0.671891i	−0.474401	−	0.154142i	0.0620510	−	0.998073i	$-0.480236\pi$
$19$	−2.06787	−	0.671891i	−0.474401	−	0.154142i	−0.536452	+	0.843931i	$0.680236\pi$
$20$	1.77599	−	2.44445i	0.397124	−	0.546595i
$21$	−1.72955	−	0.0930884i	−0.377418	−	0.0203136i
$22$	−3.27798	−	0.504856i	−0.698867	−	0.107636i
$23$		−	7.69306i		−	1.60411i	−0.597248	−	0.802057i	$-0.703739\pi$
$23$		−	7.69306i		−	1.60411i	0.597248	−	0.802057i	$-0.296261\pi$
$24$	1.09191	−	1.34452i	0.222886	−	0.274448i
$25$	−1.27608	+	3.92737i	−0.255216	+	0.785473i
$26$	−2.37245	+	0.770854i	−0.465275	+	0.151177i
$27$	2.33939	+	4.63975i	0.450216	+	0.892920i
$28$	−0.587785	−	0.809017i	−0.111081	−	0.152890i
$29$	−2.83157	−	8.71467i	−0.525809	−	1.61827i	−0.762710	−	0.646740i	$-0.776132\pi$
$29$	−2.83157	−	8.71467i	−0.525809	−	1.61827i	0.236901	−	0.971534i	$-0.423868\pi$
$30$	−1.88237	+	4.88315i	−0.343672	+	0.891536i
$31$	5.14339	+	3.73689i	0.923781	+	0.671166i	0.944462	−	0.328620i	$-0.106584\pi$
$31$	5.14339	+	3.73689i	0.923781	+	0.671166i	−0.0206816	+	0.999786i	$0.506584\pi$
$32$	1.00000			0.176777
$33$	5.71136	−	0.616780i	0.994219	−	0.107368i
$34$	−3.26192			−0.559414
$35$	2.44445	+	1.77599i	0.413187	+	0.300198i
$36$	−1.22794	+	2.73718i	−0.204656	+	0.456197i
$37$	1.36936	+	4.21446i	0.225121	+	0.692852i	0.998279	+	0.0586387i	$0.0186760\pi$
$37$	1.36936	+	4.21446i	0.225121	+	0.692852i	−0.773158	+	0.634214i	$0.781324\pi$
$38$	1.27801	+	1.75903i	0.207321	+	0.285353i
$39$	3.62693	−	2.34809i	0.580774	−	0.375995i
$40$	−2.87362	+	0.933696i	−0.454359	+	0.147630i
$41$	−3.00825	+	9.25845i	−0.469810	+	1.44593i	0.383021	+	0.923740i	$0.374884\pi$
$41$	−3.00825	+	9.25845i	−0.469810	+	1.44593i	−0.852831	+	0.522187i	$0.825116\pi$
$42$	1.34452	+	1.09191i	0.207464	+	0.168486i
$43$		−	7.49755i		−	1.14337i	−0.820475	−	0.571683i	$-0.806291\pi$
$43$		−	7.49755i		−	1.14337i	0.820475	−	0.571683i	$-0.193709\pi$
$44$	2.35519	+	2.33518i	0.355058	+	0.352042i
$45$	0.972929	−	9.01214i	0.145036	−	1.34345i
$46$	−4.52187	+	6.22382i	−0.666713	+	0.917651i
$47$	9.50683	+	3.08896i	1.38671	+	0.450571i	0.904870	−	0.425687i	$-0.139968\pi$
$47$	9.50683	+	3.08896i	1.38671	+	0.450571i	0.481843	+	0.876258i	$0.339968\pi$
$48$	−1.67366	+	0.445927i	−0.241572	+	0.0643640i
$49$	0.809017	−	0.587785i	0.115574	−	0.0839693i
$50$	3.34082	−	2.42725i	0.472463	−	0.343264i
$51$	5.45935	−	1.45458i	0.764462	−	0.203681i
$52$	2.37245	+	0.770854i	0.328999	+	0.106898i
$53$	−5.92233	+	8.15138i	−0.813494	+	1.11968i	0.177281	+	0.984160i	$0.443270\pi$
$53$	−5.92233	+	8.15138i	−0.813494	+	1.11968i	−0.990775	+	0.135518i	$0.956730\pi$
$54$	0.834569	−	5.12869i	0.113571	−	0.697927i
$55$	−8.94827	−	4.51139i	−1.20658	−	0.608316i
$56$			1.00000i			0.133631i
$57$	−2.92336	−	2.37413i	−0.387209	−	0.314461i
$58$	−2.83157	+	8.71467i	−0.371803	+	1.14429i
$59$	−4.10255	+	1.33300i	−0.534107	+	0.173542i	−0.563638	−	0.826022i	$-0.690599\pi$
$59$	−4.10255	+	1.33300i	−0.534107	+	0.173542i	0.0295310	+	0.999564i	$0.490599\pi$
$60$	4.39311	−	2.84412i	0.567148	−	0.367174i
$61$	−1.82438	−	2.51104i	−0.233588	−	0.321506i	0.676091	−	0.736818i	$-0.263672\pi$
$61$	−1.82438	−	2.51104i	−0.233588	−	0.321506i	−0.909679	+	0.415312i	$0.863672\pi$
$62$	−1.96460	−	6.04642i	−0.249505	−	0.767896i
$63$	−2.73718	−	1.22794i	−0.344853	−	0.154706i
$64$	−0.809017	−	0.587785i	−0.101127	−	0.0734732i
$65$	−7.53725			−0.934881
$66$	−4.98312	−	2.85807i	−0.613379	−	0.351804i
$67$	11.5533			1.41145			0.705727	−	0.708484i	$-0.250620\pi$
$67$	11.5533			1.41145			0.705727	+	0.708484i	$0.250620\pi$
$68$	2.63894	+	1.91731i	0.320019	+	0.232507i
$69$	4.79271	−	12.4330i	0.576975	−	1.49676i
$70$	−0.933696	−	2.87362i	−0.111598	−	0.343463i
$71$	−6.23169	−	8.57719i	−0.739566	−	1.01792i	−0.998644	−	0.0520685i	$-0.983419\pi$
$71$	−6.23169	−	8.57719i	−0.739566	−	1.01792i	0.259078	−	0.965856i	$-0.416581\pi$
$72$	2.60230	−	1.49266i	0.306684	−	0.175912i
$73$	−5.37184	+	1.74542i	−0.628726	+	0.204286i	−0.606011	−	0.795456i	$-0.707231\pi$
$73$	−5.37184	+	1.74542i	−0.628726	+	0.204286i	−0.0227155	+	0.999742i	$0.507231\pi$
$74$	1.36936	−	4.21446i	0.159185	−	0.489920i
$75$	−4.50903	+	5.55215i	−0.520658	+	0.641107i
$76$		−	2.17428i		−	0.249407i
$77$	−2.33518	+	2.35519i	−0.266119	+	0.268399i
$78$	−4.31442	−	0.232213i	−0.488512	−	0.0262929i
$79$	−1.33435	+	1.83658i	−0.150126	+	0.206631i	−0.877456	−	0.479657i	$-0.840761\pi$
$79$	−1.33435	+	1.83658i	−0.150126	+	0.206631i	0.727330	+	0.686288i	$0.240761\pi$
$80$	2.87362	+	0.933696i	0.321280	+	0.104390i
$81$	0.890236	+	8.95586i	0.0989151	+	0.995096i
$82$	7.87571	−	5.72204i	0.869727	−	0.631893i
$83$	−7.58632	+	5.51178i	−0.832707	+	0.604997i	−0.920324	−	0.391158i	$-0.872075\pi$
$83$	−7.58632	+	5.51178i	−0.832707	+	0.604997i	0.0876172	+	0.996154i	$0.472075\pi$
$84$	−0.445927	−	1.67366i	−0.0486546	−	0.182612i
$85$	−9.37350	−	3.04564i	−1.01670	−	0.330346i
$86$	−4.40695	+	6.06565i	−0.475214	+	0.654075i
$87$	0.852983	−	15.8481i	0.0914494	−	1.69909i
$88$	−0.532804	−	3.27355i	−0.0567971	−	0.348961i
$89$			11.7415i			1.24460i	0.782780	+	0.622299i	$0.213801\pi$
$89$			11.7415i			1.24460i	−0.782780	+	0.622299i	$0.786199\pi$
$90$	−6.08432	+	6.71910i	−0.641344	+	0.708256i
$91$	−0.770854	+	2.37245i	−0.0808075	+	0.248700i
$92$	7.31653	−	2.37729i	0.762801	−	0.247849i
$93$	5.98434	+	9.24360i	0.620548	+	0.958517i
$94$	−5.87554	−	8.08699i	−0.606016	−	0.834109i
$95$	2.03012	+	6.24807i	0.208286	+	0.641038i
$96$	1.61613	+	0.622992i	0.164946	+	0.0635838i
$97$	10.8358	+	7.87266i	1.10021	+	0.799348i	0.981094	−	0.193533i	$-0.0619946\pi$
$97$	10.8358	+	7.87266i	1.10021	+	0.799348i	0.119114	+	0.992881i	$0.461995\pi$
$98$	−1.00000			−0.101015
$99$	9.61455	+	2.56133i	0.966299	+	0.257423i
$100$	−4.12948			−0.412948
$101$	−0.0568294	−	0.0412890i	−0.00565474	−	0.00410841i	0.584954	−	0.811066i	$-0.301112\pi$
$101$	−0.0568294	−	0.0412890i	−0.00565474	−	0.00410841i	−0.590609	+	0.806958i	$0.701112\pi$
$102$	−5.27168	−	2.03215i	−0.521974	−	0.201213i
$103$	−0.492747	−	1.51652i	−0.0485518	−	0.149427i	0.923841	−	0.382775i	$-0.125032\pi$
$103$	−0.492747	−	1.51652i	−0.0485518	−	0.149427i	−0.972393	+	0.233349i	$0.925032\pi$
$104$	−1.46625	−	2.01812i	−0.143778	−	0.197893i
$105$	2.84412	+	4.39311i	0.277557	+	0.428724i
$106$	9.58252	−	3.11355i	0.930737	−	0.302415i
$107$	−3.94128	+	12.1300i	−0.381018	+	1.17265i	0.558310	+	0.829633i	$0.311450\pi$
$107$	−3.94128	+	12.1300i	−0.381018	+	1.17265i	−0.939328	+	0.343021i	$0.888550\pi$
$108$	−3.68975	+	3.65865i	−0.355046	+	0.352054i
$109$			5.72135i			0.548006i	0.961729	+	0.274003i	$0.0883478\pi$
$109$			5.72135i			0.548006i	−0.961729	+	0.274003i	$0.911652\pi$
$110$	4.58757	+	8.90946i	0.437408	+	0.849483i
$111$	−0.412507	+	7.66421i	−0.0391534	+	0.727455i
$112$	0.587785	−	0.809017i	0.0555405	−	0.0764449i
$113$	10.8497	+	3.52527i	1.02065	+	0.331630i	0.771088	−	0.636729i	$-0.219713\pi$
$113$	10.8497	+	3.52527i	1.02065	+	0.331630i	0.249563	+	0.968358i	$0.419713\pi$
$114$	0.969572	+	3.63902i	0.0908088	+	0.340825i
$115$	−18.8053	+	13.6628i	−1.75360	+	1.27407i
$116$	7.41314	−	5.38596i	0.688293	−	0.500074i
$117$	7.32444	−	1.53527i	0.677144	−	0.141936i
$118$	4.10255	+	1.33300i	0.377671	+	0.122713i
$119$	−1.91731	+	2.63894i	−0.175759	+	0.241912i
$120$	−5.22583	−	0.281267i	−0.477051	−	0.0256760i
$121$	6.38948	−	8.95403i	0.580862	−	0.814002i
$122$			3.10382i			0.281006i
$123$	−10.6297	+	13.0888i	−0.958445	+	1.18017i
$124$	−1.96460	+	6.04642i	−0.176426	+	0.542985i
$125$	−2.50155	+	0.812803i	−0.223746	+	0.0726993i
$126$	1.49266	+	2.60230i	0.132977	+	0.231831i
$127$	5.59964	+	7.70725i	0.496888	+	0.683908i	0.981640	−	0.190744i	$-0.0610901\pi$
$127$	5.59964	+	7.70725i	0.496888	+	0.683908i	−0.484752	+	0.874652i	$0.661090\pi$
$128$	0.309017	+	0.951057i	0.0273135	+	0.0840623i
$129$	4.67091	−	12.1170i	0.411251	−	1.06684i
$130$	6.09776	+	4.43028i	0.534809	+	0.388562i
$131$	−19.0093			−1.66085			−0.830427	−	0.557128i	$-0.811903\pi$
$131$	−19.0093			−1.66085			−0.830427	+	0.557128i	$0.811903\pi$
$132$	2.35150	+	5.24123i	0.204672	+	0.456190i
$133$	2.17428			0.188534
$134$	−9.34678	−	6.79083i	−0.807439	−	0.586639i
$135$	7.18687	−	13.9587i	0.618548	−	1.20137i
$136$	−1.00799	−	3.10227i	−0.0864342	−	0.266017i
$137$	0.288285	+	0.396790i	0.0246299	+	0.0339001i	0.821154	−	0.570706i	$-0.193330\pi$
$137$	0.288285	+	0.396790i	0.0246299	+	0.0339001i	−0.796524	+	0.604606i	$0.793330\pi$
$138$	−11.1853	+	7.24142i	−0.952157	+	0.616430i
$139$	5.38145	−	1.74854i	0.456449	−	0.148309i	−0.0717631	−	0.997422i	$-0.522863\pi$
$139$	5.38145	−	1.74854i	0.456449	−	0.148309i	0.528212	+	0.849112i	$0.322863\pi$
$140$	−0.933696	+	2.87362i	−0.0789117	+	0.242865i
$141$	13.4399	+	10.9148i	1.13184	+	0.919195i
$142$			10.6020i			0.889699i
$143$	1.25938	−	8.17703i	0.105315	−	0.683798i
$144$	−2.98267	−	0.322002i	−0.248556	−	0.0268335i
$145$	−16.2737	+	22.3988i	−1.35146	+	1.86012i
$146$	5.37184	+	1.74542i	0.444577	+	0.144452i
$147$	1.67366	−	0.445927i	0.138041	−	0.0367795i
$148$	−3.58503	+	2.60468i	−0.294688	+	0.214103i
$149$	9.92337	−	7.20975i	0.812954	−	0.590646i	−0.101731	−	0.994812i	$-0.532438\pi$
$149$	9.92337	−	7.20975i	0.812954	−	0.590646i	0.914686	+	0.404166i	$0.132438\pi$
$150$	6.91135	−	1.84145i	0.564310	−	0.150353i
$151$	5.67452	+	1.84376i	0.461786	+	0.150043i	0.530665	−	0.847582i	$-0.321942\pi$
$151$	5.67452	+	1.84376i	0.461786	+	0.150043i	−0.0688789	+	0.997625i	$0.521942\pi$
$152$	−1.27801	+	1.75903i	−0.103660	+	0.142676i
$153$	9.72921	+	1.05034i	0.786560	+	0.0849152i
$154$	3.27355	−	0.532804i	0.263790	−	0.0429345i
$155$		−	19.2095i		−	1.54294i
$156$	3.35395	+	2.72382i	0.268531	+	0.218080i
$157$	−2.19941	+	6.76910i	−0.175532	+	0.540233i	−0.999657	−	0.0261750i	$-0.991667\pi$
$157$	−2.19941	+	6.76910i	−0.175532	+	0.540233i	0.824125	+	0.566408i	$0.191667\pi$
$158$	2.15903	−	0.701511i	0.171763	−	0.0558092i
$159$	−14.6495	+	9.48414i	−1.16178	+	0.752142i
$160$	−1.77599	−	2.44445i	−0.140405	−	0.193250i
$161$	2.37729	+	7.31653i	0.187356	+	0.576624i
$162$	4.54391	−	7.76871i	0.357003	−	0.610368i
$163$	−15.6262	−	11.3531i	−1.22394	−	0.889242i	−0.227516	−	0.973774i	$-0.573060\pi$
$163$	−15.6262	−	11.3531i	−1.22394	−	0.889242i	−0.996421	+	0.0845320i	$0.973060\pi$
$164$	−9.73491			−0.760169
$165$	−11.6510	−	12.8657i	−0.907031	−	1.00159i
$166$	9.37720			0.727812
$167$	1.00580	+	0.730758i	0.0778313	+	0.0565477i	0.626020	−	0.779807i	$-0.284683\pi$
$167$	1.00580	+	0.730758i	0.0778313	+	0.0565477i	−0.548189	+	0.836354i	$0.684683\pi$
$168$	−0.622992	+	1.61613i	−0.0480649	+	0.124687i
$169$	2.09430	+	6.44558i	0.161100	+	0.495814i
$170$	5.79314	+	7.97358i	0.444314	+	0.611546i
$171$	−3.24548	−	5.65813i	−0.248188	−	0.432688i
$172$	7.13059	−	2.31687i	0.543703	−	0.176660i
$173$	3.43843	−	10.5824i	0.261419	−	0.804565i	−0.731078	−	0.682294i	$-0.760982\pi$
$173$	3.43843	−	10.5824i	0.261419	−	0.804565i	0.992497	−	0.122271i	$-0.0390176\pi$
$174$	−10.0054	+	12.3200i	−0.758504	+	0.933978i
$175$		−	4.12948i		−	0.312159i
$176$	−1.49310	+	2.96153i	−0.112546	+	0.223234i
$177$	−7.46071	−	0.401554i	−0.560782	−	0.0301826i
$178$	6.90149	−	9.49908i	0.517288	−	0.711986i
$179$	−3.79982	−	1.23464i	−0.284012	−	0.0922811i	0.163547	−	0.986536i	$-0.447707\pi$
$179$	−3.79982	−	1.23464i	−0.284012	−	0.0922811i	−0.447559	+	0.894254i	$0.647707\pi$
$180$	8.87171	−	1.85959i	0.661258	−	0.138606i
$181$	−3.37137	+	2.44945i	−0.250592	+	0.182066i	−0.705989	−	0.708223i	$-0.749497\pi$
$181$	−3.37137	+	2.44945i	−0.250592	+	0.182066i	0.455397	+	0.890288i	$0.349497\pi$
$182$	2.01812	−	1.46625i	0.149593	−	0.108686i
$183$	−1.38408	−	5.19475i	−0.102314	−	0.384007i
$184$	−7.31653	−	2.37729i	−0.539382	−	0.175256i
$185$	7.87004	−	10.8322i	0.578617	−	0.796397i
$186$	0.591817	−	10.9957i	0.0433942	−	0.806247i
$187$	4.87035	−	9.66026i	0.356156	−	0.706428i
$188$			9.99607i			0.729038i
$189$	−3.65865	−	3.68975i	−0.266128	−	0.268390i
$190$	2.03012	−	6.24807i	0.147280	−	0.453282i
$191$	−2.35813	+	0.766204i	−0.170629	+	0.0554406i	−0.393085	−	0.919502i	$-0.628592\pi$
$191$	−2.35813	+	0.766204i	−0.170629	+	0.0554406i	0.222457	+	0.974943i	$0.428592\pi$
$192$	−0.941292	−	1.45395i	−0.0679319	−	0.104930i
$193$	−8.98042	−	12.3605i	−0.646425	−	0.889728i	0.352513	−	0.935807i	$-0.385327\pi$
$193$	−8.98042	−	12.3605i	−0.646425	−	0.889728i	−0.998938	+	0.0460793i	$0.985327\pi$
$194$	−4.13890	−	12.7382i	−0.297156	−	0.914552i
$195$	−12.1812	−	4.69565i	−0.872313	−	0.336262i
$196$	0.809017	+	0.587785i	0.0577869	+	0.0419847i
$197$	−7.63942			−0.544286			−0.272143	−	0.962257i	$-0.587732\pi$
$197$	−7.63942			−0.544286			−0.272143	+	0.962257i	$0.587732\pi$
$198$	−6.27282	−	7.72345i	−0.445790	−	0.548882i
$199$	−12.2629			−0.869296			−0.434648	−	0.900600i	$-0.643127\pi$
$199$	−12.2629			−0.869296			−0.434648	+	0.900600i	$0.643127\pi$
$200$	3.34082	+	2.42725i	0.236231	+	0.171632i
$201$	18.6716	+	7.19758i	1.31699	+	0.507678i
$202$	0.0217069	+	0.0668070i	0.00152729	+	0.00470053i
$203$	5.38596	+	7.41314i	0.378021	+	0.520301i
$204$	3.07042	+	4.74266i	0.214972	+	0.332053i
$205$	27.9744	−	9.08944i	1.95382	−	0.634834i
$206$	−0.492747	+	1.51652i	−0.0343313	+	0.105661i
$207$	15.4913	−	17.1075i	1.07672	−	1.18906i
$208$			2.49454i			0.172965i
$209$	−7.11762	+	1.15847i	−0.492336	+	0.0801328i
$210$	0.281267	−	5.22583i	0.0194093	−	0.360617i
$211$	4.75024	−	6.53815i	0.327020	−	0.450104i	−0.613574	−	0.789637i	$-0.710269\pi$
$211$	4.75024	−	6.53815i	0.327020	−	0.450104i	0.940594	+	0.339533i	$0.110269\pi$
$212$	−9.58252	−	3.11355i	−0.658130	−	0.213840i
$213$	−4.72771	−	17.7442i	−0.323938	−	1.21581i
$214$	10.3184	−	7.49677i	0.705352	−	0.512468i
$215$	−18.3274	+	13.3156i	−1.24992	+	0.908117i
$216$	5.13557	−	0.791131i	0.349431	−	0.0538296i
$217$	−6.04642	−	1.96460i	−0.410458	−	0.133366i
$218$	3.36292	−	4.62867i	0.227766	−	0.313493i
$219$	−9.76898	−	0.525790i	−0.660126	−	0.0355296i
$220$	1.52542	−	9.90441i	0.102844	−	0.667755i
$221$		−	8.13697i		−	0.547352i
$222$	4.83864	−	5.95801i	0.324748	−	0.399876i
$223$	−0.722279	+	2.22295i	−0.0483674	+	0.148860i	−0.972323	−	0.233639i	$-0.924936\pi$
$223$	−0.722279	+	2.22295i	−0.0483674	+	0.148860i	0.923956	+	0.382499i	$0.124936\pi$
$224$	−0.951057	+	0.309017i	−0.0635451	+	0.0206471i
$225$	−10.7461	+	6.16392i	−0.716409	+	0.410928i
$226$	−6.70547	−	9.22928i	−0.446041	−	0.613923i
$227$	3.83632	+	11.8070i	0.254625	+	0.783656i	0.993903	+	0.110256i	$0.0351669\pi$
$227$	3.83632	+	11.8070i	0.254625	+	0.783656i	−0.739278	+	0.673400i	$0.764833\pi$
$228$	1.35456	−	3.51393i	0.0897080	−	0.232716i
$229$	12.2574	+	8.90551i	0.809991	+	0.588493i	0.913828	−	0.406101i	$-0.133112\pi$
$229$	12.2574	+	8.90551i	0.809991	+	0.588493i	−0.103837	+	0.994594i	$0.533112\pi$
$230$	23.2446			1.53270
$231$	−5.24123	+	2.35150i	−0.344847	+	0.154717i
$232$	−9.16315			−0.601590
$233$	16.8726	+	12.2587i	1.10536	+	0.803094i	0.981927	−	0.189259i	$-0.0606085\pi$
$233$	16.8726	+	12.2587i	1.10536	+	0.803094i	0.123437	+	0.992352i	$0.460608\pi$
$234$	−6.82800	−	3.06313i	−0.446361	−	0.200243i
$235$	−9.33329	−	28.7249i	−0.608837	−	1.87381i
$236$	−2.53552	−	3.48984i	−0.165048	−	0.227169i
$237$	−3.30066	+	2.13686i	−0.214401	+	0.138804i
$238$	3.10227	−	1.00799i	0.201090	−	0.0653381i
$239$	5.03135	−	15.4849i	0.325451	−	1.00163i	−0.645786	−	0.763519i	$-0.723470\pi$
$239$	5.03135	−	15.4849i	0.325451	−	1.00163i	0.971237	−	0.238116i	$-0.0765298\pi$
$240$	4.06246	+	3.29922i	0.262231	+	0.212964i
$241$			15.6304i			1.00684i	0.864041	+	0.503422i	$0.167926\pi$
$241$			15.6304i			1.00684i	−0.864041	+	0.503422i	$0.832074\pi$
$242$	−10.4322	+	3.48832i	−0.670610	+	0.224238i
$243$	−4.14069	+	15.0285i	−0.265626	+	0.964076i
$244$	1.82438	−	2.51104i	0.116794	−	0.160753i
$245$	−2.87362	−	0.933696i	−0.183589	−	0.0596516i
$246$	16.2930	−	4.34106i	1.03880	−	0.276776i
$247$	−4.38797	+	3.18805i	−0.279200	+	0.202851i
$248$	5.14339	−	3.73689i	0.326606	−	0.237293i
$249$	−15.6943	+	4.18155i	−0.994585	+	0.264995i
$250$	2.50155	+	0.812803i	0.158212	+	0.0514062i
$251$	11.9077	−	16.3895i	0.751604	−	1.03449i	−0.246262	−	0.969203i	$-0.579202\pi$
$251$	11.9077	−	16.3895i	0.751604	−	1.03449i	0.997866	−	0.0652914i	$-0.0207977\pi$
$252$	0.322002	−	2.98267i	0.0202842	−	0.187890i
$253$	−11.6804	−	22.6844i	−0.734343	−	1.42616i
$254$		−	9.52668i		−	0.597757i
$255$	−13.2514	−	10.7618i	−0.829835	−	0.673928i
$256$	0.309017	−	0.951057i	0.0193136	−	0.0594410i
$257$	27.8847	−	9.06029i	1.73940	−	0.565165i	0.744645	−	0.667460i	$-0.232619\pi$
$257$	27.8847	−	9.06029i	1.73940	−	0.565165i	0.994754	+	0.102295i	$0.0326187\pi$
$258$	−10.9011	+	7.05739i	−0.678670	+	0.439374i
$259$	−2.60468	−	3.58503i	−0.161847	−	0.222763i
$260$	−2.32914	−	7.16835i	−0.144447	−	0.444562i
$261$	11.2518	−	25.0812i	0.696467	−	1.55249i
$262$	15.3789	+	11.1734i	0.950110	+	0.690295i
$263$	−10.6062			−0.654007			−0.327004	−	0.945023i	$-0.606039\pi$
$263$	−10.6062			−0.654007			−0.327004	+	0.945023i	$0.606039\pi$
$264$	1.17831	−	5.62242i	0.0725202	−	0.346036i
$265$	30.4436			1.87014
$266$	−1.75903	−	1.27801i	−0.107853	−	0.0783599i
$267$	−7.31487	+	18.9758i	−0.447663	+	1.16130i
$268$	3.57015	+	10.9878i	0.218082	+	0.671187i
$269$	0.861114	+	1.18522i	0.0525030	+	0.0722642i	0.834461	−	0.551067i	$-0.185779\pi$
$269$	0.861114	+	1.18522i	0.0525030	+	0.0722642i	−0.781958	+	0.623331i	$0.785779\pi$
$270$	−14.0190	+	7.06847i	−0.853170	+	0.430173i
$271$	−2.46798	+	0.801894i	−0.149919	+	0.0487116i	−0.383015	−	0.923742i	$-0.625114\pi$
$271$	−2.46798	+	0.801894i	−0.149919	+	0.0487116i	0.233096	+	0.972454i	$0.425114\pi$
$272$	−1.00799	+	3.10227i	−0.0611182	+	0.188102i
$273$	−2.72382	+	3.35395i	−0.164853	+	0.202990i
$274$		−	0.490460i		−	0.0296298i
$275$	2.20020	+	13.5180i	0.132677	+	0.815169i
$276$	13.3055	+	0.716135i	0.800898	+	0.0431063i
$277$	3.63717	−	5.00613i	0.218536	−	0.300789i	−0.685647	−	0.727934i	$-0.740481\pi$
$277$	3.63717	−	5.00613i	0.218536	−	0.300789i	0.904183	+	0.427145i	$0.140481\pi$
$278$	−5.38145	−	1.74854i	−0.322758	−	0.104870i
$279$	3.91280	+	18.6671i	0.234253	+	1.11757i
$280$	2.44445	−	1.77599i	0.146084	−	0.106136i
$281$	0.433903	−	0.315249i	0.0258845	−	0.0188062i	−0.574768	−	0.818317i	$-0.694908\pi$
$281$	0.433903	−	0.315249i	0.0258845	−	0.0188062i	0.600652	+	0.799510i	$0.294908\pi$
$282$	−4.45752	−	16.7301i	−0.265441	−	0.996260i
$283$	9.78465	+	3.17922i	0.581637	+	0.188985i	0.585034	−	0.811009i	$-0.301081\pi$
$283$	9.78465	+	3.17922i	0.581637	+	0.188985i	−0.00339683	+	0.999994i	$0.501081\pi$
$284$	6.23169	−	8.57719i	0.369783	−	0.508962i
$285$	−0.611554	+	11.3624i	−0.0362253	+	0.673053i
$286$	−5.82520	+	5.87511i	−0.344451	+	0.347403i
$287$		−	9.73491i		−	0.574634i
$288$	2.22376	+	2.01367i	0.131036	+	0.118657i
$289$	−1.96532	+	6.04863i	−0.115607	+	0.355802i
$290$	26.3314	−	8.55559i	1.54623	−	0.502402i
$291$	12.6075	+	19.4739i	0.739062	+	1.14158i
$292$	−3.31998	−	4.56956i	−0.194287	−	0.267413i
$293$	8.99463	+	27.6826i	0.525472	+	1.61724i	0.763380	+	0.645949i	$0.223538\pi$
$293$	8.99463	+	27.6826i	0.525472	+	1.61724i	−0.237908	+	0.971288i	$0.576462\pi$
$294$	−1.61613	−	0.622992i	−0.0942547	−	0.0363336i
$295$	10.5446	+	7.66107i	0.613928	+	0.446045i
$296$	4.43134			0.257566
$297$	13.9427	+	10.1292i	0.809037	+	0.587758i
$298$	−12.2660			−0.710548
$299$	−15.5255	−	11.2800i	−0.897865	−	0.652337i
$300$	−6.67378	−	2.57263i	−0.385311	−	0.148531i
$301$	2.31687	+	7.13059i	0.133542	+	0.411001i
$302$	−3.50705	−	4.82704i	−0.201808	−	0.277765i
$303$	−0.0661211	−	0.102133i	−0.00379856	−	0.00586737i
$304$	2.06787	−	0.671891i	0.118600	−	0.0385356i
$305$	−2.89802	+	8.91919i	−0.165940	+	0.510711i
$306$	−7.25372	−	6.56843i	−0.414668	−	0.375492i
$307$		−	18.9216i		−	1.07991i	−0.841692	−	0.539957i	$-0.818440\pi$
$307$		−	18.9216i		−	1.07991i	0.841692	−	0.539957i	$-0.181560\pi$
$308$	−2.96153	−	1.49310i	−0.168749	−	0.0850771i
$309$	0.148435	−	2.75787i	0.00844419	−	0.156890i
$310$	−11.2910	+	15.5408i	−0.641288	+	0.882657i
$311$	−20.2212	−	6.57025i	−1.14664	−	0.372565i	−0.326761	−	0.945107i	$-0.605957\pi$
$311$	−20.2212	−	6.57025i	−1.14664	−	0.372565i	−0.819875	+	0.572542i	$0.805957\pi$
$312$	−1.11238	−	4.17501i	−0.0629762	−	0.236364i
$313$	7.40772	−	5.38202i	0.418709	−	0.304210i	−0.358409	−	0.933565i	$-0.616681\pi$
$313$	7.40772	−	5.38202i	0.418709	−	0.304210i	0.777118	+	0.629355i	$0.216681\pi$
$314$	5.75814	−	4.18353i	0.324951	−	0.236090i
$315$	1.85959	+	8.87171i	0.104776	+	0.499864i
$316$	−2.15903	−	0.701511i	−0.121455	−	0.0394630i
$317$	−13.7434	+	18.9161i	−0.771904	+	1.06244i	0.224225	+	0.974537i	$0.428015\pi$
$317$	−13.7434	+	18.9161i	−0.771904	+	1.06244i	−0.996130	+	0.0878977i	$0.971985\pi$
$318$	17.4263	+	0.937928i	0.977220	+	0.0525964i
$319$	−21.5810	−	21.3976i	−1.20830	−	1.19804i
$320$			3.02150i			0.168907i
$321$	−13.9265	+	17.1483i	−0.777304	+	0.957126i
$322$	2.37729	−	7.31653i	0.132481	−	0.407734i
$323$	−6.74521	+	2.19165i	−0.375313	+	0.121947i
$324$	−8.24243	+	3.61418i	−0.457913	+	0.200788i
$325$	6.05485	+	8.33379i	0.335863	+	0.462276i
$326$	5.96867	+	18.3697i	0.330574	+	1.01740i
$327$	−3.56435	+	9.24645i	−0.197109	+	0.511330i
$328$	7.87571	+	5.72204i	0.434863	+	0.315947i
$329$	−9.99607			−0.551101
$330$	1.86360	+	17.2569i	0.102588	+	0.949960i
$331$	2.26784			0.124652			0.0623260	−	0.998056i	$-0.480148\pi$
$331$	2.26784			0.124652			0.0623260	+	0.998056i	$0.480148\pi$
$332$	−7.58632	−	5.51178i	−0.416353	−	0.302498i
$333$	−5.44141	+	12.1294i	−0.298187	+	0.664686i
$334$	−0.384182	−	1.18239i	−0.0210215	−	0.0646976i
$335$	−20.5185	−	28.2413i	−1.12105	−	1.54299i
$336$	1.45395	−	0.941292i	0.0793194	−	0.0513517i
$337$	17.4540	−	5.67115i	0.950780	−	0.308927i	0.207748	−	0.978182i	$-0.433387\pi$
$337$	17.4540	−	5.67115i	0.950780	−	0.308927i	0.743033	+	0.669255i	$0.233387\pi$
$338$	2.09430	−	6.44558i	0.113915	−	0.350593i
$339$	15.3383	+	12.4566i	0.833061	+	0.676548i
$340$		−	9.85588i		−	0.534510i
$341$	20.8400	+	3.20966i	1.12855	+	0.173813i
$342$	−0.700123	+	6.48517i	−0.0378583	+	0.350678i
$343$	−0.587785	+	0.809017i	−0.0317374	+	0.0436828i
$344$	−7.13059	−	2.31687i	−0.384456	−	0.124917i
$345$	−38.9036	+	10.3654i	−2.09450	+	0.558054i
$346$	−9.00192	+	6.54028i	−0.483946	+	0.351608i
$347$	24.8115	−	18.0266i	1.33195	−	0.967718i	0.332250	−	0.943191i	$-0.392192\pi$
$347$	24.8115	−	18.0266i	1.33195	−	0.967718i	0.999699	−	0.0245262i	$-0.00780771\pi$
$348$	15.3360	−	4.08610i	0.822097	−	0.219038i
$349$	−4.12441	−	1.34010i	−0.220774	−	0.0717339i	0.196541	−	0.980496i	$-0.437029\pi$
$349$	−4.12441	−	1.34010i	−0.220774	−	0.0717339i	−0.417316	+	0.908762i	$0.637029\pi$
$350$	−2.42725	+	3.34082i	−0.129742	+	0.178574i
$351$	12.7937	+	2.08186i	0.682878	+	0.111122i
$352$	2.94868	−	1.51831i	0.157165	−	0.0809261i
$353$		−	2.86480i		−	0.152478i	−0.997090	−	0.0762389i	$-0.975709\pi$
$353$		−	2.86480i		−	0.152478i	0.997090	−	0.0762389i	$-0.0242912\pi$
$354$	5.79982	+	4.71016i	0.308257	+	0.250342i
$355$	−9.89903	+	30.4661i	−0.525386	+	1.61697i
$356$	−11.1668	+	3.62833i	−0.591841	+	0.192301i
$357$	−4.74266	+	3.07042i	−0.251008	+	0.162504i
$358$	2.34842	+	3.23232i	0.124118	+	0.170834i
$359$	−0.235308	−	0.724203i	−0.0124191	−	0.0382220i	0.944655	−	0.328066i	$-0.106397\pi$
$359$	−0.235308	−	0.724203i	−0.0124191	−	0.0382220i	−0.957074	+	0.289844i	$0.906397\pi$
$360$	−8.27040	−	3.71022i	−0.435889	−	0.195546i
$361$	−11.5467	−	8.38916i	−0.607720	−	0.441535i
$362$	4.16725			0.219026
$363$	15.9045	−	10.4903i	0.834771	−	0.550597i
$364$	−2.49454			−0.130749
$365$	13.8069	+	10.0313i	0.722688	+	0.525064i
$366$	−1.93365	+	5.01618i	−0.101074	+	0.262200i
$367$	3.72622	+	11.4681i	0.194507	+	0.598632i	0.999982	+	0.00600163i	$0.00191039\pi$
$367$	3.72622	+	11.4681i	0.194507	+	0.598632i	−0.805475	+	0.592630i	$0.798090\pi$
$368$	4.52187	+	6.22382i	0.235719	+	0.324439i
$369$	−25.3331	+	14.5310i	−1.31879	+	0.756451i
$370$	−12.7340	+	4.13752i	−0.662008	+	0.215100i
$371$	3.11355	−	9.58252i	0.161647	−	0.497500i
$372$	−6.94192	+	8.54788i	−0.359922	+	0.443187i
$373$		−	14.2773i		−	0.739249i	−0.929181	−	0.369625i	$-0.879486\pi$
$373$		−	14.2773i		−	0.739249i	0.929181	−	0.369625i	$-0.120514\pi$
$374$	−9.61836	+	4.95259i	−0.497353	+	0.256093i
$375$	−4.54921	−	0.244849i	−0.234920	−	0.0126440i
$376$	5.87554	−	8.08699i	0.303008	−	0.417055i
$377$	−21.7391	−	7.06345i	−1.11962	−	0.363786i
$378$	0.791131	+	5.13557i	0.0406914	+	0.264145i
$379$	4.68205	−	3.40170i	0.240501	−	0.174734i	−0.461006	−	0.887397i	$-0.652511\pi$
$379$	4.68205	−	3.40170i	0.240501	−	0.174734i	0.701506	+	0.712663i	$0.252511\pi$
$380$	−5.31492	+	3.86152i	−0.272650	+	0.198092i
$381$	4.24821	+	15.9445i	0.217642	+	0.816859i
$382$	2.35813	+	0.766204i	0.120653	+	0.0392024i
$383$	13.2727	−	18.2683i	0.678203	−	0.933467i	−0.321707	−	0.946839i	$-0.604257\pi$
$383$	13.2727	−	18.2683i	0.678203	−	0.933467i	0.999911	+	0.0133724i	$0.00425671\pi$
$384$	−0.0930884	+	1.72955i	−0.00475040	+	0.0882606i
$385$	9.90441	+	1.52542i	0.504775	+	0.0777427i
$386$			15.2784i			0.777651i
$387$	15.0976	−	16.6728i	0.767455	−	0.847524i
$388$	−4.13890	+	12.7382i	−0.210121	+	0.646686i
$389$	−20.1035	+	6.53202i	−1.01929	+	0.331187i	−0.770547	−	0.637383i	$-0.780017\pi$
$389$	−20.1035	+	6.53202i	−1.01929	+	0.331187i	−0.248741	+	0.968570i	$0.580017\pi$
$390$	7.09476	+	10.9588i	0.359257	+	0.554919i
$391$	−14.7499	−	20.3016i	−0.745937	−	1.02669i
$392$	−0.309017	−	0.951057i	−0.0156077	−	0.0480356i
$393$	−30.7216	−	11.8427i	−1.54970	−	0.597383i
$394$	6.18042	+	4.49034i	0.311365	+	0.226220i
$395$	6.85922			0.345125
$396$	0.535089	+	9.93548i	0.0268892	+	0.499276i
$397$	−1.38764			−0.0696436			−0.0348218	−	0.999394i	$-0.511086\pi$
$397$	−1.38764			−0.0696436			−0.0348218	+	0.999394i	$0.511086\pi$
$398$	9.92091	+	7.20797i	0.497291	+	0.361303i
$399$	3.51393	+	1.35456i	0.175916	+	0.0678129i
$400$	−1.27608	−	3.92737i	−0.0638039	−	0.196368i
$401$	−6.86215	−	9.44494i	−0.342679	−	0.471658i	0.602542	−	0.798087i	$-0.294154\pi$
$401$	−6.86215	−	9.44494i	−0.342679	−	0.471658i	−0.945222	+	0.326429i	$0.894154\pi$
$402$	−10.8750	−	16.7978i	−0.542395	−	0.837800i
$403$	15.0830	−	4.90077i	0.751339	−	0.244125i
$404$	0.0217069	−	0.0668070i	0.00107996	−	0.00332377i
$405$	20.3111	−	18.0817i	1.00927	−	0.898487i
$406$		−	9.16315i		−	0.454759i
$407$	10.4367	+	10.3480i	0.517326	+	0.512931i
$408$	0.303647	−	5.64164i	0.0150327	−	0.279303i
$409$	−18.0571	+	24.8535i	−0.892867	+	1.22893i	0.0798208	+	0.996809i	$0.474565\pi$
$409$	−18.0571	+	24.8535i	−0.892867	+	1.22893i	−0.972688	+	0.232117i	$0.925435\pi$
$410$	−27.9744	−	9.08944i	−1.38156	−	0.448896i
$411$	0.218709	+	0.820865i	0.0107881	+	0.0404903i
$412$	1.29003	−	0.937260i	0.0635551	−	0.0461755i
$413$	3.48984	−	2.53552i	0.171724	−	0.124765i
$414$	−22.5883	+	4.73472i	−1.11015	+	0.232699i
$415$	26.9465	+	8.75545i	1.32275	+	0.429788i
$416$	1.46625	−	2.01812i	0.0718889	−	0.0989466i
$417$	9.78646	+	0.526731i	0.479245	+	0.0257941i
$418$	6.43921	+	3.24642i	0.314952	+	0.158787i
$419$			8.75512i			0.427716i	0.976865	+	0.213858i	$0.0686029\pi$
$419$			8.75512i			0.427716i	−0.976865	+	0.213858i	$0.931397\pi$
$420$	−3.29922	+	4.06246i	−0.160985	+	0.198228i
$421$	8.61549	−	26.5157i	0.419893	−	1.29230i	−0.487907	−	0.872896i	$-0.662239\pi$
$421$	8.61549	−	26.5157i	0.419893	−	1.29230i	0.907800	−	0.419403i	$-0.137761\pi$
$422$	−7.68605	+	2.49735i	−0.374151	+	0.121569i
$423$	14.9208	+	26.0128i	0.725473	+	1.26478i
$424$	5.92233	+	8.15138i	0.287614	+	0.395866i
$425$	4.16246	+	12.8107i	0.201909	+	0.621412i
$426$	−6.60495	+	17.1342i	−0.320011	+	0.830155i
$427$	2.51104	+	1.82438i	0.121518	+	0.0882879i
$428$	−12.7543			−0.616500
$429$	7.12955	−	12.4306i	0.344218	−	0.600154i
$430$	22.6539			1.09247
$431$	13.5686	+	9.85814i	0.653575	+	0.474850i	0.864487	−	0.502655i	$-0.167643\pi$
$431$	13.5686	+	9.85814i	0.653575	+	0.474850i	−0.210912	+	0.977505i	$0.567643\pi$
$432$	−4.61978	−	2.37858i	−0.222269	−	0.114439i
$433$	3.07047	+	9.44995i	0.147558	+	0.454135i	0.997331	−	0.0730126i	$-0.0232613\pi$
$433$	3.07047	+	9.44995i	0.147558	+	0.454135i	−0.849773	+	0.527148i	$0.823261\pi$
$434$	3.73689	+	5.14339i	0.179377	+	0.246891i
$435$	−40.2547	+	26.0611i	−1.93007	+	1.24953i
$436$	−5.44132	+	1.76799i	−0.260592	+	0.0846715i
$437$	−5.16889	+	15.9082i	−0.247262	+	0.760993i
$438$	7.59422	+	6.16744i	0.362866	+	0.294691i
$439$		−	22.8787i		−	1.09194i	−0.837805	−	0.545970i	$-0.816161\pi$
$439$		−	22.8787i		−	1.09194i	0.837805	−	0.545970i	$-0.183839\pi$
$440$	−7.05576	+	7.11621i	−0.336370	+	0.339252i
$441$	2.98267	+	0.322002i	0.142032	+	0.0153334i
$442$	−4.78279	+	6.58294i	−0.227494	+	0.313119i
$443$	27.4512	+	8.91944i	1.30425	+	0.423775i	0.877057	−	0.480387i	$-0.159504\pi$
$443$	27.4512	+	8.91944i	1.30425	+	0.423775i	0.427189	+	0.904162i	$0.359504\pi$
$444$	−7.41657	+	1.97606i	−0.351975	+	0.0937794i
$445$	28.7015	−	20.8529i	1.36058	−	0.988520i
$446$	1.89095	−	1.37386i	0.0895391	−	0.0650540i
$447$	20.5291	−	5.46973i	0.970993	−	0.258709i
$448$	0.951057	+	0.309017i	0.0449332	+	0.0145997i
$449$	3.64604	−	5.01834i	0.172067	−	0.236830i	−0.714270	−	0.699870i	$-0.753241\pi$
$449$	3.64604	−	5.01834i	0.172067	−	0.236830i	0.886337	+	0.463040i	$0.153241\pi$
$450$	12.3169	+	1.32970i	0.580623	+	0.0626826i
$451$	5.18680	+	31.8677i	0.244237	+	1.50059i
$452$			11.4080i			0.536588i
$453$	8.02213	+	6.51495i	0.376912	+	0.306099i
$454$	3.83632	−	11.8070i	0.180047	−	0.554128i
$455$	7.16835	−	2.32914i	0.336057	−	0.109192i
$456$	−3.16130	+	2.04664i	−0.148041	+	0.0958426i
$457$	2.42653	+	3.33983i	0.113508	+	0.156230i	0.861991	−	0.506924i	$-0.169217\pi$
$457$	2.42653	+	3.33983i	0.113508	+	0.156230i	−0.748483	+	0.663154i	$0.769217\pi$
$458$	−4.68191	−	14.4094i	−0.218771	−	0.673308i
$459$	15.0693	+	7.75871i	0.703376	+	0.362146i
$460$	−18.8053	−	13.6628i	−0.876800	−	0.637033i
$461$	5.42585			0.252707			0.126354	−	0.991985i	$-0.459673\pi$
$461$	5.42585			0.252707			0.126354	+	0.991985i	$0.459673\pi$
$462$	5.62242	+	1.17831i	0.261579	+	0.0548201i
$463$	0.943698			0.0438573			0.0219287	−	0.999760i	$-0.493019\pi$
$463$	0.943698			0.0438573			0.0219287	+	0.999760i	$0.493019\pi$
$464$	7.41314	+	5.38596i	0.344147	+	0.250037i
$465$	11.9673	−	31.0450i	0.554972	−	1.43968i
$466$	−6.44478	−	19.8350i	−0.298549	−	0.918838i
$467$	−22.0967	−	30.4136i	−1.02252	−	1.40737i	−0.910425	−	0.413673i	$-0.864246\pi$
$467$	−22.0967	−	30.4136i	−1.02252	−	1.40737i	−0.112090	−	0.993698i	$-0.535754\pi$
$468$	3.72351	+	6.49153i	0.172119	+	0.300071i
$469$	−10.9878	+	3.57015i	−0.507369	+	0.164854i
$470$	−9.33329	+	28.7249i	−0.430512	+	1.32498i
$471$	−7.77164	+	9.56954i	−0.358098	+	0.440941i
$472$			4.31368i			0.198553i
$473$	−11.3836	−	22.1079i	−0.523418	−	1.01652i
$474$	3.92631	+	0.211323i	0.180341	+	0.00970641i
$475$	5.27752	−	7.26389i	0.242149	−	0.333290i
$476$	−3.10227	−	1.00799i	−0.142192	−	0.0462010i
$477$	−29.5841	+	6.20110i	−1.35456	+	0.283929i
$478$	−13.1722	+	9.57019i	−0.602484	+	0.437730i
$479$	−22.3915	+	16.2684i	−1.02309	+	0.743322i	−0.966915	−	0.255099i	$-0.917892\pi$
$479$	−22.3915	+	16.2684i	−1.02309	+	0.743322i	−0.0561798	+	0.998421i	$0.517892\pi$
$480$	−1.34737	−	5.05698i	−0.0614988	−	0.230818i
$481$	10.5131	+	3.41592i	0.479357	+	0.155752i
$482$	9.18732	−	12.6453i	0.418471	−	0.575976i
$483$	−0.716135	+	13.3055i	−0.0325853	+	0.605422i
$484$	10.4902	+	3.30981i	0.476829	+	0.150446i
$485$		−	40.4693i		−	1.83762i
$486$	12.1834	−	9.72444i	0.552650	−	0.441110i
$487$	−12.2945	+	37.8386i	−0.557118	+	1.71463i	0.133166	+	0.991094i	$0.457486\pi$
$487$	−12.2945	+	37.8386i	−0.557118	+	1.71463i	−0.690284	+	0.723538i	$0.742514\pi$
$488$	−2.95191	+	0.959133i	−0.133627	+	0.0434179i
$489$	−18.1811	−	28.0831i	−0.822177	−	1.26996i
$490$	1.77599	+	2.44445i	0.0802313	+	0.110429i
$491$	−2.60419	−	8.01488i	−0.117526	−	0.361706i	0.874940	−	0.484232i	$-0.160901\pi$
$491$	−2.60419	−	8.01488i	−0.117526	−	0.361706i	−0.992465	+	0.122525i	$0.960901\pi$
$492$	−15.7329	−	6.06477i	−0.709294	−	0.273421i
$493$	−24.1810	−	17.5686i	−1.08906	−	0.791248i
$494$	5.42383			0.244030
$495$	−10.8144	−	28.0512i	−0.486069	−	1.26081i
$496$	−6.35758			−0.285464
$497$	8.57719	+	6.23169i	0.384739	+	0.279530i
$498$	15.1548	+	5.84192i	0.679103	+	0.261783i
$499$	−10.5410	−	32.4420i	−0.471881	−	1.45230i	−0.850118	−	0.526593i	$-0.823469\pi$
$499$	−10.5410	−	32.4420i	−0.471881	−	1.45230i	0.378236	−	0.925709i	$-0.376531\pi$
$500$	−1.54604	−	2.12795i	−0.0691412	−	0.0951647i
$501$	1.17025	+	1.80761i	0.0522830	+	0.0807579i
$502$	−19.2670	+	6.26022i	−0.859928	+	0.279407i
$503$	−11.5668	+	35.5988i	−0.515737	+	1.58727i	0.266201	+	0.963917i	$0.414231\pi$
$503$	−11.5668	+	35.5988i	−0.515737	+	1.58727i	−0.781938	+	0.623357i	$0.785769\pi$
$504$	−2.01367	+	2.22376i	−0.0896962	+	0.0990542i
$505$			0.212246i			0.00944481i
$506$	−3.88388	+	25.2177i	−0.172660	+	1.12106i
$507$	−0.630887	+	11.7216i	−0.0280187	+	0.520576i
$508$	−5.59964	+	7.70725i	−0.248444	+	0.341954i
$509$	−6.36730	−	2.06886i	−0.282226	−	0.0917007i	0.164484	−	0.986380i	$-0.447404\pi$
$509$	−6.36730	−	2.06886i	−0.282226	−	0.0917007i	−0.446709	+	0.894679i	$0.647404\pi$
$510$	4.39501	+	16.4954i	0.194614	+	0.730430i
$511$	4.56956	−	3.31998i	0.202145	−	0.146867i
$512$	−0.809017	+	0.587785i	−0.0357538	+	0.0259767i
$513$	−1.72014	−	11.1662i	−0.0759462	−	0.493000i
$514$	−27.8847	−	9.06029i	−1.22994	−	0.399632i
$515$	−2.83193	+	3.89782i	−0.124790	+	0.171758i
$516$	12.9674	+	0.697935i	0.570857	+	0.0307249i
$517$	32.7226	−	5.32594i	1.43914	−	0.234235i
$518$			4.43134i			0.194702i
$519$	12.1497	−	14.9604i	0.533313	−	0.656690i
$520$	−2.32914	+	7.16835i	−0.102139	+	0.314353i
$521$	0.819738	−	0.266349i	0.0359134	−	0.0116690i	−0.291005	−	0.956721i	$-0.593990\pi$
$521$	0.819738	−	0.266349i	0.0359134	−	0.0116690i	0.326919	+	0.945053i	$0.393990\pi$
$522$	−23.8452	+	13.6775i	−1.04368	+	0.598648i
$523$	−13.5072	−	18.5911i	−0.590629	−	0.812932i	0.404181	−	0.914679i	$-0.367557\pi$
$523$	−13.5072	−	18.5911i	−0.590629	−	0.812932i	−0.994810	+	0.101747i	$0.967557\pi$
$524$	−5.87421	−	18.0790i	−0.256616	−	0.789783i
$525$	2.57263	−	6.67378i	0.112279	−	0.291268i
$526$	8.58061	+	6.23418i	0.374132	+	0.271823i
$527$	20.7379			0.903357
$528$	−4.25805	+	3.85604i	−0.185308	+	0.167812i
$529$	−36.1832			−1.57318
$530$	−24.6294	−	17.8943i	−1.06983	−	0.777280i
$531$	−11.8073	−	5.29693i	−0.512394	−	0.229867i
$532$	0.671891	+	2.06787i	0.0291302	+	0.0896534i
$533$	14.2738	+	19.6462i	0.618268	+	0.850973i
$534$	17.0716	−	11.0522i	0.738759	−	0.478275i
$535$	36.6509	−	11.9086i	1.58456	−	0.514854i
$536$	3.57015	−	10.9878i	0.154207	−	0.474601i
$537$	−5.37185	−	4.36260i	−0.231812	−	0.188260i
$538$		−	1.46501i		−	0.0631612i
$539$	1.49310	−	2.96153i	0.0643122	−	0.127562i
$540$	15.4964	+	2.52165i	0.666857	+	0.108515i
$541$	−18.8943	+	26.0057i	−0.812327	+	1.11807i	0.178633	+	0.983916i	$0.442833\pi$
$541$	−18.8943	+	26.0057i	−0.812327	+	1.11807i	−0.990960	+	0.134157i	$0.957167\pi$
$542$	2.46798	+	0.801894i	0.106009	+	0.0344443i
$543$	−6.97457	+	1.85829i	−0.299307	+	0.0797468i
$544$	2.63894	−	1.91731i	0.113144	−	0.0822038i
$545$	13.9855	−	10.1611i	0.599074	−	0.435253i
$546$	4.17501	−	1.11238i	0.178674	−	0.0476055i
$547$	30.7528	+	9.99219i	1.31489	+	0.427235i	0.880739	−	0.473602i	$-0.157047\pi$
$547$	30.7528	+	9.99219i	1.31489	+	0.427235i	0.434156	+	0.900838i	$0.357047\pi$
$548$	−0.288285	+	0.396790i	−0.0123149	+	0.0169500i
$549$	0.999435	−	9.25766i	0.0426548	−	0.395107i
$550$	6.16571	−	12.2296i	0.262907	−	0.521471i
$551$			19.9233i			0.848761i
$552$	−10.3435	−	8.40015i	−0.440246	−	0.357534i
$553$	0.701511	−	2.15903i	0.0298313	−	0.0918112i
$554$	−5.88506	+	1.91217i	−0.250032	+	0.0812405i
$555$	19.4674	−	12.6033i	0.826344	−	0.534978i
$556$	3.32592	+	4.57774i	0.141051	+	0.194139i
$557$	14.1329	+	43.4967i	0.598832	+	1.84302i	0.534643	+	0.845078i	$0.320446\pi$
$557$	14.1329	+	43.4967i	0.598832	+	1.84302i	0.0641896	+	0.997938i	$0.479554\pi$
$558$	7.80671	−	17.4019i	0.330485	−	0.736680i
$559$	−15.1310	−	10.9933i	−0.639972	−	0.464967i
$560$	−3.02150			−0.127682
$561$	13.8894	−	12.5781i	0.586411	−	0.531046i
$562$	−0.536333			−0.0226239
$563$	33.6967	+	24.4821i	1.42015	+	1.03180i	0.991748	+	0.128206i	$0.0409218\pi$
$563$	33.6967	+	24.4821i	1.42015	+	1.03180i	0.428398	+	0.903590i	$0.359078\pi$
$564$	−6.22747	+	16.1550i	−0.262224	+	0.680247i
$565$	−10.6516	−	32.7823i	−0.448117	−	1.37916i
$566$	−6.04724	−	8.32332i	−0.254185	−	0.349855i
$567$	−3.61418	−	8.24243i	−0.151781	−	0.346150i
$568$	−10.0831	+	3.27619i	−0.423077	+	0.137466i
$569$	−7.74246	+	23.8288i	−0.324581	+	0.998957i	0.647049	+	0.762449i	$0.276003\pi$
$569$	−7.74246	+	23.8288i	−0.324581	+	0.998957i	−0.971629	+	0.236508i	$0.923997\pi$
$570$	7.17343	−	8.83295i	0.300462	−	0.369971i
$571$			10.6673i			0.446412i	0.974771	+	0.223206i	$0.0716522\pi$
$571$			10.6673i			0.446412i	−0.974771	+	0.223206i	$0.928348\pi$
$572$	8.16599	−	1.32910i	0.341437	−	0.0555724i
$573$	−4.28839	−	0.230812i	−0.179150	−	0.00964230i
$574$	−5.72204	+	7.87571i	−0.238833	+	0.328726i
$575$	30.2135	+	9.81695i	1.25999	+	0.409395i
$576$	−0.615454	−	2.93619i	−0.0256439	−	0.122341i
$577$	−15.9259	+	11.5708i	−0.663002	+	0.481699i	−0.867675	−	0.497131i	$-0.834387\pi$
$577$	−15.9259	+	11.5708i	−0.663002	+	0.481699i	0.204673	+	0.978830i	$0.434387\pi$
$578$	5.14528	−	3.73826i	0.214015	−	0.155491i
$579$	−6.81306	−	25.5709i	−0.283141	−	1.06269i
$580$	−26.3314	−	8.55559i	−1.09335	−	0.355252i
$581$	5.51178	−	7.58632i	0.228667	−	0.314733i
$582$	1.24681	−	23.1652i	0.0516818	−	0.960227i
$583$	−5.08676	+	33.0278i	−0.210672	+	1.36787i
$584$			5.64829i			0.233728i
$585$	−16.7610	−	15.1776i	−0.692984	−	0.627515i
$586$	8.99463	−	27.6826i	0.371565	−	1.14356i
$587$	−14.2308	+	4.62386i	−0.587366	+	0.190847i	−0.587598	−	0.809153i	$-0.699926\pi$
$587$	−14.2308	+	4.62386i	−0.587366	+	0.190847i	0.000231477		1.00000i	$0.499926\pi$
$588$	0.941292	+	1.45395i	0.0388182	+	0.0599599i
$589$	−8.12507	−	11.1832i	−0.334788	−	0.460796i
$590$	−4.02766	−	12.3959i	−0.165816	−	0.510330i
$591$	−12.3463	−	4.75930i	−0.507859	−	0.195771i
$592$	−3.58503	−	2.60468i	−0.147344	−	0.107052i
$593$	−13.0424			−0.535586			−0.267793	−	0.963477i	$-0.586294\pi$
$593$	−13.0424			−0.535586			−0.267793	+	0.963477i	$0.586294\pi$
$594$	−5.32606	−	16.3900i	−0.218531	−	0.672491i
$595$	9.85588			0.404052
$596$	9.92337	+	7.20975i	0.406477	+	0.295323i
$597$	−19.8185	−	7.63970i	−0.811117	−	0.312672i
$598$	5.93023	+	18.2514i	0.242505	+	0.746354i
$599$	−28.3571	−	39.0302i	−1.15864	−	1.59473i	−0.716132	−	0.697965i	$-0.754089\pi$
$599$	−28.3571	−	39.0302i	−1.15864	−	1.59473i	−0.442507	−	0.896765i	$-0.645911\pi$
$600$	3.88705	+	6.00405i	0.158688	+	0.245114i
$601$	−18.6043	+	6.04492i	−0.758887	+	0.246577i	−0.662801	−	0.748796i	$-0.730632\pi$
$601$	−18.6043	+	6.04492i	−0.758887	+	0.246577i	−0.0960862	+	0.995373i	$0.530632\pi$
$602$	2.31687	−	7.13059i	0.0944286	−	0.290621i
$603$	25.6917	+	23.2645i	1.04625	+	0.947403i
$604$			5.96655i			0.242775i
$605$	−33.2353	+	0.283560i	−1.35121	+	0.0115284i
$606$	−0.00653900	+	0.121492i	−0.000265629	+	0.00493528i
$607$	−20.0736	+	27.6290i	−0.814764	+	1.12143i	0.175807	+	0.984425i	$0.443747\pi$
$607$	−20.0736	+	27.6290i	−0.814764	+	1.12143i	−0.990571	+	0.137001i	$0.956253\pi$
$608$	−2.06787	−	0.671891i	−0.0838631	−	0.0272488i
$609$	4.08610	+	15.3360i	0.165577	+	0.621447i
$610$	7.58712	−	5.51236i	0.307193	−	0.223189i
$611$	20.1733	−	14.6568i	0.816124	−	0.592949i
$612$	2.00756	+	9.57761i	0.0811507	+	0.387152i
$613$	45.3286	+	14.7281i	1.83080	+	0.594864i	0.999221	+	0.0394617i	$0.0125643\pi$
$613$	45.3286	+	14.7281i	1.83080	+	0.594864i	0.831582	+	0.555402i	$0.187436\pi$
$614$	−11.1219	+	15.3079i	−0.448842	+	0.617777i
$615$	50.8730	+	2.73811i	2.05140	+	0.110411i
$616$	1.51831	+	2.94868i	0.0611744	+	0.118806i
$617$			10.7316i			0.432036i	0.976389	+	0.216018i	$0.0693070\pi$
$617$			10.7316i			0.432036i	−0.976389	+	0.216018i	$0.930693\pi$
$618$	−1.74112	+	2.14392i	−0.0700382	+	0.0862409i
$619$	2.65131	−	8.15989i	0.106565	−	0.327974i	−0.883529	−	0.468376i	$-0.844839\pi$
$619$	2.65131	−	8.15989i	0.106565	−	0.327974i	0.990095	+	0.140402i	$0.0448394\pi$
$620$	18.2693	−	5.93605i	0.733712	−	0.238397i
$621$	35.6939	−	17.9971i	1.43234	−	0.722197i
$622$	12.4974	+	17.2011i	0.501099	+	0.689703i
$623$	−3.62833	−	11.1668i	−0.145366	−	0.447390i
$624$	−1.55408	+	4.03150i	−0.0622128	+	0.161389i
$625$	23.1337	+	16.8076i	0.925347	+	0.672304i
$626$	−9.15645			−0.365965
$627$	−12.2247	−	2.56199i	−0.488209	−	0.102316i
$628$	−7.11745			−0.284017
$629$	11.6941	+	8.49623i	0.466273	+	0.338767i
$630$	3.71022	−	8.27040i	0.147819	−	0.329501i
$631$	8.40039	+	25.8537i	0.334414	+	1.02922i	0.967010	+	0.254739i	$0.0819896\pi$
$631$	8.40039	+	25.8537i	0.334414	+	1.02922i	−0.632596	+	0.774482i	$0.718010\pi$
$632$	1.33435	+	1.83658i	0.0530777	+	0.0730552i
$633$	11.7502	−	7.60714i	0.467030	−	0.302357i
$634$	22.2372	−	7.22531i	0.883153	−	0.286954i
$635$	8.89502	−	27.3761i	0.352988	−	1.08639i
$636$	−13.5469	−	11.0017i	−0.537170	−	0.436247i
$637$		−	2.49454i		−	0.0988371i
$638$	4.88216	+	29.9960i	0.193287	+	1.18755i
$639$	3.41386	−	31.6222i	0.135050	−	1.25096i
$640$	1.77599	−	2.44445i	0.0702024	−	0.0966252i
$641$	−2.43224	−	0.790282i	−0.0960676	−	0.0312143i	0.260589	−	0.965450i	$-0.416083\pi$
$641$	−2.43224	−	0.790282i	−0.0960676	−	0.0312143i	−0.356656	+	0.934236i	$0.616083\pi$
$642$	21.3463	−	5.68747i	0.842473	−	0.224467i
$643$	−11.1359	+	8.09073i	−0.439158	+	0.319067i	−0.785300	−	0.619115i	$-0.787491\pi$
$643$	−11.1359	+	8.09073i	−0.439158	+	0.319067i	0.346142	+	0.938182i	$0.387491\pi$
$644$	−6.22382	+	4.52187i	−0.245253	+	0.178186i
$645$	−37.9149	+	10.1020i	−1.49290	+	0.397765i
$646$	6.74521	+	2.19165i	0.265387	+	0.0862293i
$647$	8.93994	−	12.3048i	0.351465	−	0.483750i	−0.596281	−	0.802776i	$-0.703356\pi$
$647$	8.93994	−	12.3048i	0.351465	−	0.483750i	0.947746	+	0.319025i	$0.103356\pi$
$648$	8.79263	+	1.92085i	0.345407	+	0.0754581i
$649$	−10.0732	+	10.1595i	−0.395409	+	0.398797i
$650$		−	10.3011i		−	0.404044i
$651$	−8.54788	−	6.94192i	−0.335018	−	0.272075i
$652$	5.96867	−	18.3697i	0.233751	−	0.719412i
$653$	−8.39595	+	2.72801i	−0.328559	+	0.106755i	−0.468651	−	0.883383i	$-0.655260\pi$
$653$	−8.39595	+	2.72801i	−0.328559	+	0.106755i	0.140093	+	0.990138i	$0.455260\pi$
$654$	8.31855	−	5.38546i	0.325281	−	0.210588i
$655$	33.7605	+	46.4673i	1.31913	+	1.81563i
$656$	−3.00825	−	9.25845i	−0.117453	−	0.361482i
$657$	−15.4604	−	6.93574i	−0.603167	−	0.270589i
$658$	8.08699	+	5.87554i	0.315264	+	0.229053i
$659$	−11.7803			−0.458894			−0.229447	−	0.973321i	$-0.573692\pi$
$659$	−11.7803			−0.458894			−0.229447	+	0.973321i	$0.573692\pi$
$660$	8.63565	−	15.0565i	0.336142	−	0.586074i
$661$	−40.1240			−1.56064			−0.780321	−	0.625379i	$-0.784944\pi$
$661$	−40.1240			−1.56064			−0.780321	+	0.625379i	$0.784944\pi$
$662$	−1.83472	−	1.33300i	−0.0713086	−	0.0518087i
$663$	5.06927	−	13.1504i	0.196874	−	0.510720i
$664$	2.89772	+	8.91825i	0.112453	+	0.346095i
$665$	−3.86152	−	5.31492i	−0.149743	−	0.206104i
$666$	11.5317	−	6.61450i	0.446843	−	0.256307i
$667$	−67.0425	+	21.7834i	−2.59590	+	0.843458i
$668$	−0.384182	+	1.18239i	−0.0148645	+	0.0457481i
$669$	−2.55218	+	3.14260i	−0.0986728	+	0.121500i
$670$			34.9082i			1.34862i
$671$	−9.19205	−	4.63430i	−0.354855	−	0.178905i
$672$	−1.72955	−	0.0930884i	−0.0667187	−	0.00359096i
$673$	10.7260	−	14.7631i	0.413457	−	0.569075i	−0.550600	−	0.834769i	$-0.685601\pi$
$673$	10.7260	−	14.7631i	0.413457	−	0.569075i	0.964057	+	0.265694i	$0.0856012\pi$
$674$	−17.4540	−	5.67115i	−0.672303	−	0.218444i
$675$	−21.2072	+	3.26696i	−0.816267	+	0.125745i
$676$	−5.48294	+	3.98359i	−0.210882	+	0.153215i
$677$	28.3310	−	20.5837i	1.08885	−	0.791096i	0.109645	−	0.993971i	$-0.465029\pi$
$677$	28.3310	−	20.5837i	1.08885	−	0.791096i	0.979205	+	0.202875i	$0.0650285\pi$
$678$	−5.08715	−	19.0932i	−0.195371	−	0.733269i
$679$	−12.7382	−	4.13890i	−0.488849	−	0.158837i
$680$	−5.79314	+	7.97358i	−0.222157	+	0.305773i
$681$	−1.15565	+	21.4716i	−0.0442848	+	0.822794i
$682$	−14.9733	−	14.8461i	−0.573358	−	0.568487i
$683$			30.8786i			1.18154i	0.806842	+	0.590768i	$0.201175\pi$
$683$			30.8786i			1.18154i	−0.806842	+	0.590768i	$0.798825\pi$
$684$	4.37830	−	4.83509i	0.167408	−	0.184874i
$685$	0.457940	−	1.40940i	0.0174970	−	0.0538502i
$686$	0.951057	−	0.309017i	0.0363115	−	0.0117983i
$687$	14.2615	+	22.0287i	0.544110	+	0.840449i
$688$	4.40695	+	6.06565i	0.168013	+	0.231251i
$689$	7.76687	+	23.9040i	0.295894	+	0.910668i
$690$	37.5663	+	14.4812i	1.43013	+	0.551290i
$691$	11.9952	+	8.71500i	0.456318	+	0.331534i	0.792085	−	0.610411i	$-0.208996\pi$
$691$	11.9952	+	8.71500i	0.456318	+	0.331534i	−0.335767	+	0.941945i	$0.608996\pi$
$692$	11.1270			0.422985
$693$	−9.93548	+	0.535089i	−0.377418	+	0.0203263i
$694$	−30.6687			−1.16417
$695$	−13.8316	−	10.0493i	−0.524664	−	0.381191i
$696$	−14.8089	−	5.70857i	−0.561328	−	0.216383i
$697$	9.81267	+	30.2003i	0.371681	+	1.14392i
$698$	2.54902	+	3.50843i	0.0964819	+	0.132796i
$699$	19.6313	+	30.3232i	0.742526	+	1.14693i
$700$	3.92737	−	1.27608i	0.148440	−	0.0482312i
$701$	−6.12835	+	18.8611i	−0.231465	+	0.712375i	0.766106	+	0.642714i	$0.222192\pi$
$701$	−6.12835	+	18.8611i	−0.231465	+	0.712375i	−0.997571	+	0.0696609i	$0.977808\pi$
$702$	−9.12664	−	9.20422i	−0.344463	−	0.347391i
$703$		−	9.63499i		−	0.363391i
$704$	−3.27798	−	0.504856i	−0.123543	−	0.0190275i
$705$	2.81156	−	52.2378i	0.105890	−	1.96739i
$706$	−1.68389	+	2.31767i	−0.0633739	+	0.0872267i
$707$	0.0668070	+	0.0217069i	0.00251254	+	0.000816373i
$708$	−1.92359	−	7.21965i	−0.0722928	−	0.271331i
$709$	34.2134	−	24.8575i	1.28491	−	0.933542i	0.285221	−	0.958462i	$-0.407933\pi$
$709$	34.2134	−	24.8575i	1.28491	−	0.933542i	0.999689	+	0.0249199i	$0.00793309\pi$
$710$	25.9160	−	18.8291i	0.972610	−	0.706642i
$711$	−6.66555	+	1.39716i	−0.249978	+	0.0523977i
$712$	11.1668	+	3.62833i	0.418495	+	0.135977i
$713$	28.7481	−	39.5684i	1.07663	−	1.48185i
$714$	5.64164	+	0.303647i	0.211133	+	0.0113637i
$715$	−22.2250	+	11.4439i	−0.831167	+	0.427976i
$716$		−	3.99537i		−	0.149314i
$717$	17.7783	−	21.8911i	0.663942	−	0.817539i
$718$	−0.235308	+	0.724203i	−0.00878161	+	0.0270270i
$719$	21.3277	−	6.92978i	0.795387	−	0.258437i	0.116991	−	0.993133i	$-0.462675\pi$
$719$	21.3277	−	6.92978i	0.795387	−	0.258437i	0.678396	+	0.734696i	$0.262675\pi$
$720$	4.51009	+	7.86285i	0.168081	+	0.293031i
$721$	0.937260	+	1.29003i	0.0349054	+	0.0480431i
$722$	4.41044	+	13.5739i	0.164140	+	0.505170i
$723$	−9.73762	+	25.2608i	−0.362146	+	0.939459i
$724$	−3.37137	−	2.44945i	−0.125296	−	0.0910330i
$725$	37.8390			1.40531
$726$	−19.0331	−	0.861622i	−0.706383	−	0.0319778i
$727$	8.56588			0.317691			0.158845	−	0.987303i	$-0.449223\pi$
$727$	8.56588			0.317691			0.158845	+	0.987303i	$0.449223\pi$
$728$	2.01812	+	1.46625i	0.0747966	+	0.0543429i
$729$	−16.0545	+	21.7084i	−0.594612	+	0.804013i
$730$	−5.27378	−	16.2310i	−0.195191	−	0.600737i
$731$	−14.3751	−	19.7856i	−0.531682	−	0.731798i
$732$	4.51279	−	2.92160i	0.166798	−	0.107985i
$733$	31.3884	−	10.1987i	1.15936	−	0.376698i	0.334697	−	0.942326i	$-0.391366\pi$
$733$	31.3884	−	10.1987i	1.15936	−	0.376698i	0.824661	+	0.565627i	$0.191366\pi$
$734$	3.72622	−	11.4681i	0.137537	−	0.423297i
$735$	−4.06246	−	3.29922i	−0.149846	−	0.121693i
$736$		−	7.69306i		−	0.283570i
$737$	34.0669	−	17.5414i	1.25487	−	0.646146i
$738$	29.0360	+	3.13466i	1.06883	+	0.115388i
$739$	10.7683	−	14.8212i	0.396117	−	0.545208i	−0.563647	−	0.826016i	$-0.690602\pi$
$739$	10.7683	−	14.8212i	0.396117	−	0.545208i	0.959764	+	0.280807i	$0.0906022\pi$
$740$	12.7340	+	4.13752i	0.468111	+	0.152098i
$741$	−9.07767	+	2.41863i	−0.333476	+	0.0888507i
$742$	−8.15138	+	5.92233i	−0.299247	+	0.217415i
$743$	−15.7898	+	11.4720i	−0.579273	+	0.420866i	−0.838462	−	0.544960i	$-0.816545\pi$
$743$	−15.7898	+	11.4720i	−0.579273	+	0.420866i	0.259189	+	0.965827i	$0.416545\pi$
$744$	10.6405	−	2.83502i	0.390098	−	0.103937i
$745$	−35.2477	−	11.4527i	−1.29138	−	0.419594i
$746$	−8.39197	+	11.5506i	−0.307252	+	0.422896i
$747$	−27.9691	−	3.01948i	−1.02334	−	0.110477i
$748$	10.6925	+	1.64680i	0.390956	+	0.0602128i
$749$		−	12.7543i		−	0.466031i
$750$	3.53647	+	2.87204i	0.129133	+	0.104872i
$751$	−0.416005	+	1.28033i	−0.0151802	+	0.0467199i	−0.958360	−	0.285564i	$-0.907819\pi$
$751$	−0.416005	+	1.28033i	−0.0151802	+	0.0467199i	0.943179	+	0.332284i	$0.107819\pi$
$752$	−9.50683	+	3.08896i	−0.346678	+	0.112643i
$753$	29.4548	−	19.0692i	1.07339	−	0.694920i
$754$	13.4355	+	18.4924i	0.489292	+	0.673452i
$755$	−5.57094	−	17.1456i	−0.202747	−	0.623992i
$756$	2.37858	−	4.61978i	0.0865080	−	0.168020i
$757$	−38.8155	−	28.2011i	−1.41077	−	1.02499i	−0.993210	−	0.116337i	$-0.962885\pi$
$757$	−38.8155	−	28.2011i	−1.41077	−	1.02499i	−0.417562	−	0.908649i	$-0.637115\pi$
$758$	−5.78733			−0.210205
$759$	−4.74492	−	43.9378i	−0.172230	−	1.59484i
$760$	6.56960			0.238305
$761$	−22.5140	−	16.3574i	−0.816133	−	0.592955i	0.0994693	−	0.995041i	$-0.468286\pi$
$761$	−22.5140	−	16.3574i	−0.816133	−	0.592955i	−0.915602	+	0.402085i	$0.868286\pi$
$762$	5.93505	−	15.3964i	0.215004	−	0.557752i
$763$	−1.76799	−	5.44132i	−0.0640057	−	0.196989i
$764$	−1.45741	−	2.00595i	−0.0527271	−	0.0725726i
$765$	−14.7115	−	25.6479i	−0.531896	−	0.927303i
$766$	−21.4757	+	6.97787i	−0.775948	+	0.252121i
$767$	−3.32522	+	10.2340i	−0.120067	+	0.369527i
$768$	1.09191	−	1.34452i	0.0394010	−	0.0485161i
$769$		−	18.1570i		−	0.654760i	−0.944893	−	0.327380i	$-0.893834\pi$
$769$		−	18.1570i		−	0.654760i	0.944893	−	0.327380i	$-0.106166\pi$
$770$	−7.11621	−	7.05576i	−0.256451	−	0.254272i
$771$	50.7098	+	2.72933i	1.82627	+	0.0982943i
$772$	8.98042	−	12.3605i	0.323213	−	0.444864i
$773$	19.5048	+	6.33750i	0.701540	+	0.227944i	0.638001	−	0.770035i	$-0.279761\pi$
$773$	19.5048	+	6.33750i	0.701540	+	0.227944i	0.0635385	+	0.997979i	$0.479761\pi$
$774$	−22.0142	+	4.61439i	−0.791285	+	0.165861i
$775$	−21.2395	+	15.4314i	−0.762946	+	0.554313i
$776$	10.8358	−	7.87266i	0.388982	−	0.282612i
$777$	−1.97606	−	7.41657i	−0.0708906	−	0.266068i
$778$	20.1035	+	6.53202i	0.720746	+	0.234184i
$779$	12.4413	−	17.1240i	0.445757	−	0.613532i
$780$	0.701631	−	13.0360i	0.0251224	−	0.466765i
$781$	−31.3981	−	15.8298i	−1.12351	−	0.566434i
$782$			25.0941i			0.897363i
$783$	33.8097	−	33.5248i	1.20826	−	1.19808i
$784$	−0.309017	+	0.951057i	−0.0110363	+	0.0339663i
$785$	20.4528	−	6.64553i	0.729994	−	0.237189i
$786$	17.8933	+	27.6386i	0.638234	+	0.985837i
$787$	19.5988	+	26.9755i	0.698623	+	0.961572i	0.999968	+	0.00805696i	$0.00256464\pi$
$787$	19.5988	+	26.9755i	0.698623	+	0.961572i	−0.301344	+	0.953515i	$0.597435\pi$
$788$	−2.36071	−	7.26552i	−0.0840968	−	0.258823i
$789$	−17.1410	−	6.60759i	−0.610237	−	0.235236i
$790$	−5.54923	−	4.03175i	−0.197433	−	0.143443i
$791$	−11.4080			−0.405623
$792$	5.40703	−	8.35249i	0.192130	−	0.296793i
$793$	−7.74259			−0.274947
$794$	1.12262	+	0.815633i	0.0398404	+	0.0289457i
$795$	49.2009	+	18.9661i	1.74498	+	0.672660i
$796$	−3.78945	−	11.6627i	−0.134314	−	0.413375i
$797$	3.67280	+	5.05518i	0.130097	+	0.179064i	0.869096	−	0.494643i	$-0.164701\pi$
$797$	3.67280	+	5.05518i	0.130097	+	0.179064i	−0.738999	+	0.673707i	$0.764701\pi$
$798$	−2.04664	−	3.16130i	−0.0724502	−	0.111909i
$799$	31.0105	−	10.0759i	1.09707	−	0.356460i
$800$	−1.27608	+	3.92737i	−0.0451162	+	0.138853i
$801$	−23.6436	+	26.1103i	−0.835404	+	0.922563i
$802$			11.6746i			0.412244i
$803$	−13.1898	+	13.3028i	−0.465457	+	0.469445i
$804$	−1.07547	+	19.9819i	−0.0379291	+	0.704707i
$805$	13.6628	−	18.8053i	0.481552	−	0.662799i
$806$	−15.0830	−	4.90077i	−0.531277	−	0.172622i
$807$	0.653290	+	2.45194i	0.0229969	+	0.0863124i
$808$	−0.0568294	+	0.0412890i	−0.00199925	+	0.00145254i
$809$	−12.8117	+	9.30823i	−0.450435	+	0.327260i	−0.789767	−	0.613406i	$-0.789799\pi$
$809$	−12.8117	+	9.30823i	−0.450435	+	0.327260i	0.339333	+	0.940666i	$0.389799\pi$
$810$	−27.0602	+	2.68985i	−0.950797	+	0.0945117i
$811$	−42.7349	−	13.8854i	−1.50062	−	0.487582i	−0.560425	−	0.828205i	$-0.689362\pi$
$811$	−42.7349	−	13.8854i	−1.50062	−	0.487582i	−0.940200	+	0.340623i	$0.889362\pi$
$812$	−5.38596	+	7.41314i	−0.189010	+	0.260150i
$813$	−4.48815	−	0.241563i	−0.157406	−	0.00847198i
$814$	−2.36103	−	14.5062i	−0.0827542	−	0.508442i
$815$			58.3604i			2.04428i
$816$	−3.56173	+	4.38570i	−0.124685	+	0.153530i
$817$	−5.03753	+	15.5039i	−0.176241	+	0.542414i
$818$	29.2170	−	9.49319i	1.02155	−	0.331922i
$819$	−6.49153	+	3.72351i	−0.226832	+	0.130110i
$820$	17.2892	+	23.7965i	0.603763	+	0.831009i
$821$	−6.56183	−	20.1952i	−0.229009	−	0.704819i	−0.997860	−	0.0653898i	$-0.979171\pi$
$821$	−6.56183	−	20.1952i	−0.229009	−	0.704819i	0.768850	−	0.639429i	$-0.220829\pi$
$822$	0.305553	−	0.792648i	0.0106574	−	0.0276468i
$823$	−37.5496	−	27.2814i	−1.30890	−	0.950970i	−0.308897	−	0.951095i	$-0.599960\pi$
$823$	−37.5496	−	27.2814i	−1.30890	−	0.950970i	−1.00000		0.000125703i	$0.999960\pi$
$824$	−1.59456			−0.0555492
$825$	−4.86582	+	23.2176i	−0.169406	+	0.808335i
$826$	−4.31368			−0.150092
$827$	−33.2011	−	24.1220i	−1.15451	−	0.838804i	−0.165440	−	0.986220i	$-0.552904\pi$
$827$	−33.2011	−	24.1220i	−1.15451	−	0.838804i	−0.989075	+	0.147416i	$0.952904\pi$
$828$	21.0573	+	9.44659i	0.731792	+	0.328292i
$829$	7.37538	+	22.6991i	0.256158	+	0.788372i	0.993599	+	0.112961i	$0.0360336\pi$
$829$	7.37538	+	22.6991i	0.256158	+	0.788372i	−0.737442	+	0.675411i	$0.763966\pi$
$830$	−16.6539	−	22.9221i	−0.578064	−	0.795637i
$831$	8.99693	−	5.82464i	0.312100	−	0.202055i
$832$	−2.37245	+	0.770854i	−0.0822498	+	0.0267246i
$833$	1.00799	−	3.10227i	0.0349247	−	0.107487i
$834$	−7.60781	−	6.17847i	−0.263437	−	0.213943i
$835$		−	3.75645i		−	0.129997i
$836$	−3.30123	−	6.41128i	−0.114176	−	0.221739i
$837$	−5.30584	+	32.6061i	−0.183397	+	1.12703i
$838$	5.14613	−	7.08304i	0.177770	−	0.244680i
$839$	17.5474	+	5.70151i	0.605805	+	0.196838i	0.595828	−	0.803112i	$-0.296824\pi$
$839$	17.5474	+	5.70151i	0.605805	+	0.196838i	0.00997703	+	0.999950i	$0.496824\pi$
$840$	5.05698	−	1.34737i	0.174482	−	0.0464887i
$841$	−44.4662	+	32.3066i	−1.53332	+	1.11402i
$842$	−22.5556	+	16.3876i	−0.777319	+	0.564755i
$843$	0.897642	−	0.239166i	0.0309164	−	0.00823730i
$844$	7.68605	+	2.49735i	0.264565	+	0.0859623i
$845$	12.0364	−	16.5667i	0.414066	−	0.569912i
$846$	3.21875	−	29.8150i	0.110663	−	1.02506i
$847$	−3.30981	+	10.4902i	−0.113726	+	0.360449i
$848$		−	10.0757i		−	0.346000i
$849$	13.8326	+	11.2338i	0.474735	+	0.385543i
$850$	4.16246	−	12.8107i	0.142771	−	0.439405i
$851$	32.4221	−	10.5346i	1.11141	−	0.361120i
$852$	15.4148	−	9.97957i	0.528101	−	0.341894i
$853$	−23.7746	−	32.7229i	−0.814027	−	1.12041i	−0.990690	−	0.136140i	$-0.956530\pi$
$853$	−23.7746	−	32.7229i	−0.814027	−	1.12041i	0.176663	−	0.984271i	$-0.443470\pi$
$854$	−0.959133	−	2.95191i	−0.0328208	−	0.101012i
$855$	−8.06706	+	17.9822i	−0.275888	+	0.614979i
$856$	10.3184	+	7.49677i	0.352676	+	0.256234i
$857$	−38.9394			−1.33015			−0.665073	−	0.746779i	$-0.731599\pi$
$857$	−38.9394			−1.33015			−0.665073	+	0.746779i	$0.731599\pi$
$858$	−13.0744	+	5.86590i	−0.446354	+	0.200258i
$859$	−22.1527			−0.755842			−0.377921	−	0.925838i	$-0.623361\pi$
$859$	−22.1527			−0.755842			−0.377921	+	0.925838i	$0.623361\pi$
$860$	−18.3274	−	13.3156i	−0.624958	−	0.454058i
$861$	6.06477	−	15.7329i	0.206687	−	0.536176i
$862$	−5.18273	−	15.9508i	−0.176525	−	0.543287i
$863$	−30.3194	−	41.7310i	−1.03208	−	1.42054i	−0.903372	−	0.428858i	$-0.858916\pi$
$863$	−30.3194	−	41.7310i	−1.03208	−	1.42054i	−0.128711	−	0.991682i	$-0.541084\pi$
$864$	2.33939	+	4.63975i	0.0795876	+	0.157847i
$865$	−31.9747	+	10.3892i	−1.08717	+	0.353244i
$866$	3.07047	−	9.44995i	0.104339	−	0.321122i
$867$	−6.94447	+	8.55101i	−0.235846	+	0.290407i
$868$		−	6.35758i		−	0.215790i
$869$	−1.14609	+	7.44145i	−0.0388785	+	0.252434i
$870$	47.8851	+	2.57729i	1.62346	+	0.0873784i
$871$	16.9400	−	23.3159i	0.573989	−	0.790029i
$872$	5.44132	+	1.76799i	0.184266	+	0.0598718i
$873$	8.24325	+	39.3267i	0.278992	+	1.33101i
$874$	13.5323	−	9.83182i	0.457738	−	0.332566i
$875$	2.12795	−	1.54604i	0.0719377	−	0.0522658i
$876$	−2.51872	−	9.45333i	−0.0850998	−	0.319398i
$877$	6.73158	+	2.18722i	0.227309	+	0.0738573i	0.420457	−	0.907312i	$-0.361870\pi$
$877$	6.73158	+	2.18722i	0.227309	+	0.0738573i	−0.193148	+	0.981170i	$0.561870\pi$
$878$	−13.4477	+	18.5092i	−0.453839	+	0.624656i
$879$	−2.70955	+	50.3424i	−0.0913908	+	1.69801i
$880$	9.89104	−	1.60987i	0.333427	−	0.0542686i
$881$			7.54579i			0.254224i	0.991888	+	0.127112i	$0.0405708\pi$
$881$			7.54579i			0.254224i	−0.991888	+	0.127112i	$0.959429\pi$
$882$	−2.22376	−	2.01367i	−0.0748780	−	0.0678039i
$883$	10.6201	−	32.6854i	0.357396	−	1.09995i	−0.597211	−	0.802084i	$-0.703724\pi$
$883$	10.6201	−	32.6854i	0.357396	−	1.09995i	0.954607	−	0.297868i	$-0.0962757\pi$
$884$	7.73872	−	2.51446i	0.260281	−	0.0845705i
$885$	12.2686	+	18.9505i	0.412405	+	0.637013i
$886$	−16.9658	−	23.3514i	−0.569976	−	0.784505i
$887$	9.77851	+	30.0952i	0.328330	+	1.01050i	0.969915	+	0.243445i	$0.0782774\pi$
$887$	9.77851	+	30.0952i	0.328330	+	1.01050i	−0.641584	+	0.767052i	$0.721723\pi$
$888$	7.16163	+	2.76069i	0.240329	+	0.0926427i
$889$	−7.70725	−	5.59964i	−0.258493	−	0.187806i
$890$	−35.4770			−1.18919
$891$	16.2228	+	25.0564i	0.543484	+	0.839420i
$892$	−2.33734			−0.0782601
$893$	−17.5834	−	12.7751i	−0.588407	−	0.427502i
$894$	−19.8234	−	7.64160i	−0.662994	−	0.255573i
$895$	3.73046	+	11.4812i	0.124696	+	0.383773i
$896$	−0.587785	−	0.809017i	−0.0196365	−	0.0270274i
$897$	−18.0640	−	27.9022i	−0.603139	−	0.931627i
$898$	−5.89941	+	1.91683i	−0.196866	+	0.0639656i
$899$	18.0019	−	55.4042i	0.600398	−	1.84784i
$900$	−9.18297	−	8.31542i	−0.306099	−	0.277181i
$901$			32.8660i			1.09492i
$902$	14.5352	−	28.8302i	0.483968	−	0.959942i
$903$	−0.697935	+	12.9674i	−0.0232258	+	0.431527i
$904$	6.70547	−	9.22928i	0.223021	−	0.306961i
$905$	11.9751	+	3.89094i	0.398065	+	0.129339i
$906$	−2.66065	−	9.98599i	−0.0883940	−	0.331762i
$907$	34.4355	−	25.0188i	1.14341	−	0.830737i	0.155820	−	0.987785i	$-0.450198\pi$
$907$	34.4355	−	25.0188i	1.14341	−	0.830737i	0.987591	+	0.157049i	$0.0501980\pi$
$908$	−10.0436	+	7.29711i	−0.333309	+	0.242163i
$909$	−0.0432326	−	0.206253i	−0.00143393	−	0.00684098i
$910$	−7.16835	−	2.32914i	−0.237628	−	0.0772102i
$911$	−22.1679	+	30.5115i	−0.734456	+	1.01089i	0.264463	+	0.964396i	$0.414805\pi$
$911$	−22.1679	+	30.5115i	−0.734456	+	1.01089i	−0.998918	+	0.0464958i	$0.985195\pi$
$912$	3.76053	+	0.202401i	0.124524	+	0.00670216i
$913$	−14.0011	+	27.7709i	−0.463368	+	0.919082i
$914$		−	4.12825i		−	0.136550i
$915$	−10.2402	+	12.6091i	−0.338530	+	0.416845i
$916$	−4.68191	+	14.4094i	−0.154695	+	0.476101i
$917$	18.0790	−	5.87421i	0.597020	−	0.193983i
$918$	−7.63089	−	15.1345i	−0.251857	−	0.499512i
$919$	16.0755	+	22.1260i	0.530281	+	0.729870i	0.987173	−	0.159653i	$-0.0510374\pi$
$919$	16.0755	+	22.1260i	0.530281	+	0.729870i	−0.456892	+	0.889522i	$0.651037\pi$
$920$	7.18298	+	22.1069i	0.236816	+	0.728844i
$921$	11.7880	−	30.5798i	0.388429	−	1.00764i
$922$	−4.38961	−	3.18923i	−0.144564	−	0.105032i
$923$	−26.4470			−0.870515
$924$	−3.85604	−	4.25805i	−0.126854	−	0.140080i
$925$	−18.2991			−0.601671
$926$	−0.763467	−	0.554692i	−0.0250891	−	0.0182283i
$927$	1.95802	−	4.36461i	0.0643099	−	0.143352i
$928$	−2.83157	−	8.71467i	−0.0929508	−	0.286073i
$929$	21.7027	+	29.8712i	0.712042	+	0.980041i	0.999751	+	0.0223234i	$0.00710635\pi$
$929$	21.7027	+	29.8712i	0.712042	+	0.980041i	−0.287709	+	0.957718i	$0.592894\pi$
$930$	−27.9296	+	18.0817i	−0.915847	+	0.592923i
$931$	−2.06787	+	0.671891i	−0.0677716	+	0.0220203i
$932$	−6.44478	+	19.8350i	−0.211106	+	0.649717i
$933$	−28.5868	−	23.2160i	−0.935891	−	0.760058i
$934$			37.5932i			1.23009i
$935$	−32.2637	+	5.25125i	−1.05514	+	0.171734i
$936$	0.803245	−	7.44038i	0.0262549	−	0.243196i
$937$	21.9701	−	30.2392i	0.717731	−	0.987872i	−0.281865	−	0.959454i	$-0.590953\pi$
$937$	21.9701	−	30.2392i	0.717731	−	0.987872i	0.999596	−	0.0284180i	$-0.00904696\pi$
$938$	10.9878	+	3.57015i	0.358764	+	0.116570i
$939$	15.3248	−	4.08311i	0.500106	−	0.133247i
$940$	24.4349	−	17.7530i	0.796977	−	0.579038i
$941$	−23.4683	+	17.0507i	−0.765045	+	0.555838i	−0.900454	−	0.434952i	$-0.856765\pi$
$941$	−23.4683	+	17.0507i	−0.765045	+	0.555838i	0.135408	+	0.990790i	$0.456765\pi$
$942$	11.9122	−	3.17387i	0.388121	−	0.103410i
$943$	71.2258	+	23.1427i	2.31943	+	0.753629i
$944$	2.53552	−	3.48984i	0.0825241	−	0.113585i
$945$	−2.52165	+	15.4964i	−0.0820294	+	0.504097i
$946$	−3.78518	+	24.5768i	−0.123067	+	0.799060i
$947$		−	21.5218i		−	0.699366i	−0.936868	−	0.349683i	$-0.886289\pi$
$947$		−	21.5218i		−	0.699366i	0.936868	−	0.349683i	$-0.113711\pi$
$948$	−3.05224	−	2.47879i	−0.0991320	−	0.0805074i
$949$	−4.35401	+	13.4003i	−0.141337	+	0.434991i
$950$	−8.53921	+	2.77456i	−0.277049	+	0.0900185i
$951$	−33.9957	+	22.0089i	−1.10239	+	0.713688i
$952$	1.91731	+	2.63894i	0.0621402	+	0.0855287i
$953$	13.6316	+	41.9539i	0.441572	+	1.35902i	0.886200	+	0.463303i	$0.153336\pi$
$953$	13.6316	+	41.9539i	0.441572	+	1.35902i	−0.444628	+	0.895715i	$0.646664\pi$
$954$	27.5789	+	12.3723i	0.892901	+	0.400567i
$955$	6.06098	+	4.40356i	0.196129	+	0.142496i
$956$	16.2818			0.526590
$957$	−21.5471	−	48.0261i	−0.696520	−	1.55246i
$958$	27.6774			0.894218
$959$	−0.396790	−	0.288285i	−0.0128130	−	0.00930921i
$960$	−1.88237	+	4.88315i	−0.0607533	+	0.157603i
$961$	2.91059	+	8.95786i	0.0938899	+	0.288963i
$962$	−6.49746	−	8.94299i	−0.209487	−	0.288334i
$963$	−33.1904	+	19.0378i	−1.06955	+	0.613485i
$964$	−14.8654	+	4.83006i	−0.478782	+	0.155566i
$965$	−14.2654	+	43.9043i	−0.459219	+	1.41333i
$966$	8.40015	−	10.3435i	0.270270	−	0.332795i
$967$			7.58141i			0.243802i	0.992542	+	0.121901i	$0.0388990\pi$
$967$			7.58141i			0.243802i	−0.992542	+	0.121901i	$0.961101\pi$
$968$	−6.54133	−	8.84370i	−0.210246	−	0.284247i
$969$	−12.2665	−	0.660214i	−0.394057	−	0.0212091i
$970$	−23.7873	+	32.7404i	−0.763763	+	1.05123i
$971$	33.5811	+	10.9112i	1.07767	+	0.350156i	0.793470	−	0.608610i	$-0.208272\pi$
$971$	33.5811	+	10.9112i	1.07767	+	0.350156i	0.284199	+	0.958765i	$0.408272\pi$
$972$	−15.5725	+	0.706017i	−0.499487	+	0.0226455i
$973$	−4.57774	+	3.32592i	−0.146756	+	0.106624i
$974$	32.1875	−	23.3856i	1.03135	−	0.749322i
$975$	4.59356	+	17.2406i	0.147112	+	0.552142i
$976$	2.95191	+	0.959133i	0.0944882	+	0.0307011i
$977$	−3.00747	+	4.13942i	−0.0962174	+	0.132432i	−0.854411	−	0.519597i	$-0.826082\pi$
$977$	−3.00747	+	4.13942i	−0.0962174	+	0.132432i	0.758194	+	0.652029i	$0.226082\pi$
$978$	−1.79801	+	33.4062i	−0.0574939	+	1.06821i
$979$	17.8272	+	34.6220i	0.569761	+	1.10652i
$980$		−	3.02150i		−	0.0965184i
$981$	−11.5209	+	12.7229i	−0.367835	+	0.406211i
$982$	−2.60419	+	8.01488i	−0.0831031	+	0.255765i
$983$	45.5329	−	14.7945i	1.45227	−	0.471872i	0.526573	−	0.850130i	$-0.323477\pi$
$983$	45.5329	−	14.7945i	1.45227	−	0.471872i	0.925700	+	0.378258i	$0.123477\pi$
$984$	9.16340	+	14.1541i	0.292118	+	0.451215i
$985$	13.5676	+	18.6742i	0.432299	+	0.595008i
$986$	9.23634	+	28.4265i	0.294145	+	0.905285i
$987$	−16.1550	−	6.22747i	−0.514218	−	0.198223i
$988$	−4.38797	−	3.18805i	−0.139600	−	0.101425i
$989$	−57.6791			−1.83409
$990$	−7.73907	+	29.0504i	−0.245964	+	0.923282i
$991$	22.7329			0.722133			0.361067	−	0.932540i	$-0.382413\pi$
$991$	22.7329			0.722133			0.361067	+	0.932540i	$0.382413\pi$
$992$	5.14339	+	3.73689i	0.163303	+	0.118646i
$993$	3.66513	+	1.41285i	0.116309	+	0.0448354i
$994$	−3.27619	−	10.0831i	−0.103915	−	0.319816i
$995$	21.7789	+	29.9761i	0.690437	+	0.950305i
$996$	−8.82669	−	13.6340i	−0.279684	−	0.432009i
$997$	−4.62079	+	1.50139i	−0.146342	+	0.0475494i	−0.381272	−	0.924463i	$-0.624514\pi$
$997$	−4.62079	+	1.50139i	−0.146342	+	0.0475494i	0.234930	+	0.972012i	$0.424514\pi$
$998$	−10.5410	+	32.4420i	−0.333671	+	1.02693i
$999$	−16.3505	+	16.2127i	−0.517308	+	0.512948i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	462.2.w.a.29.10	✓	48
3.2	odd	2		462.2.w.b.29.1	yes	48
11.8	odd	10		462.2.w.b.239.1	yes	48
33.8	even	10	inner	462.2.w.a.239.10	yes	48

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
462.2.w.a.29.10	✓	48	1.1	even	1	trivial
462.2.w.a.239.10	yes	48	33.8	even	10	inner
462.2.w.b.29.1	yes	48	3.2	odd	2
462.2.w.b.239.1	yes	48	11.8	odd	10

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)

\(f(q)\)	\(=\)	\(q+(-0.809017 - 0.587785i) q^{2} +(1.61613 + 0.622992i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-1.77599 - 2.44445i) q^{5} +(-0.941292 - 1.45395i) q^{6} +(-0.951057 + 0.309017i) q^{7} +(0.309017 - 0.951057i) q^{8} +(2.22376 + 2.01367i) q^{9} +O(q^{10})\)	\(q+(-0.809017 - 0.587785i) q^{2} +(1.61613 + 0.622992i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-1.77599 - 2.44445i) q^{5} +(-0.941292 - 1.45395i) q^{6} +(-0.951057 + 0.309017i) q^{7} +(0.309017 - 0.951057i) q^{8} +(2.22376 + 2.01367i) q^{9} +3.02150i q^{10} +(2.94868 - 1.51831i) q^{11} +(-0.0930884 + 1.72955i) q^{12} +(1.46625 - 2.01812i) q^{13} +(0.951057 + 0.309017i) q^{14} +(-1.34737 - 5.05698i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(2.63894 - 1.91731i) q^{17} +(-0.615454 - 2.93619i) q^{18} +(-2.06787 - 0.671891i) q^{19} +(1.77599 - 2.44445i) q^{20} +(-1.72955 - 0.0930884i) q^{21} +(-3.27798 - 0.504856i) q^{22} -7.69306i q^{23} +(1.09191 - 1.34452i) q^{24} +(-1.27608 + 3.92737i) q^{25} +(-2.37245 + 0.770854i) q^{26} +(2.33939 + 4.63975i) q^{27} +(-0.587785 - 0.809017i) q^{28} +(-2.83157 - 8.71467i) q^{29} +(-1.88237 + 4.88315i) q^{30} +(5.14339 + 3.73689i) q^{31} +1.00000 q^{32} +(5.71136 - 0.616780i) q^{33} -3.26192 q^{34} +(2.44445 + 1.77599i) q^{35} +(-1.22794 + 2.73718i) q^{36} +(1.36936 + 4.21446i) q^{37} +(1.27801 + 1.75903i) q^{38} +(3.62693 - 2.34809i) q^{39} +(-2.87362 + 0.933696i) q^{40} +(-3.00825 + 9.25845i) q^{41} +(1.34452 + 1.09191i) q^{42} -7.49755i q^{43} +(2.35519 + 2.33518i) q^{44} +(0.972929 - 9.01214i) q^{45} +(-4.52187 + 6.22382i) q^{46} +(9.50683 + 3.08896i) q^{47} +(-1.67366 + 0.445927i) q^{48} +(0.809017 - 0.587785i) q^{49} +(3.34082 - 2.42725i) q^{50} +(5.45935 - 1.45458i) q^{51} +(2.37245 + 0.770854i) q^{52} +(-5.92233 + 8.15138i) q^{53} +(0.834569 - 5.12869i) q^{54} +(-8.94827 - 4.51139i) q^{55} +1.00000i q^{56} +(-2.92336 - 2.37413i) q^{57} +(-2.83157 + 8.71467i) q^{58} +(-4.10255 + 1.33300i) q^{59} +(4.39311 - 2.84412i) q^{60} +(-1.82438 - 2.51104i) q^{61} +(-1.96460 - 6.04642i) q^{62} +(-2.73718 - 1.22794i) q^{63} +(-0.809017 - 0.587785i) q^{64} -7.53725 q^{65} +(-4.98312 - 2.85807i) q^{66} +11.5533 q^{67} +(2.63894 + 1.91731i) q^{68} +(4.79271 - 12.4330i) q^{69} +(-0.933696 - 2.87362i) q^{70} +(-6.23169 - 8.57719i) q^{71} +(2.60230 - 1.49266i) q^{72} +(-5.37184 + 1.74542i) q^{73} +(1.36936 - 4.21446i) q^{74} +(-4.50903 + 5.55215i) q^{75} -2.17428i q^{76} +(-2.33518 + 2.35519i) q^{77} +(-4.31442 - 0.232213i) q^{78} +(-1.33435 + 1.83658i) q^{79} +(2.87362 + 0.933696i) q^{80} +(0.890236 + 8.95586i) q^{81} +(7.87571 - 5.72204i) q^{82} +(-7.58632 + 5.51178i) q^{83} +(-0.445927 - 1.67366i) q^{84} +(-9.37350 - 3.04564i) q^{85} +(-4.40695 + 6.06565i) q^{86} +(0.852983 - 15.8481i) q^{87} +(-0.532804 - 3.27355i) q^{88} +11.7415i q^{89} +(-6.08432 + 6.71910i) q^{90} +(-0.770854 + 2.37245i) q^{91} +(7.31653 - 2.37729i) q^{92} +(5.98434 + 9.24360i) q^{93} +(-5.87554 - 8.08699i) q^{94} +(2.03012 + 6.24807i) q^{95} +(1.61613 + 0.622992i) q^{96} +(10.8358 + 7.87266i) q^{97} -1.00000 q^{98} +(9.61455 + 2.56133i) 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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