LMFDB - Embedded newform 462.2.w.a.281.7

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			281.7
Character	$\chi$	$=$	462.281
Dual form			462.2.w.a.365.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.309017 + 0.951057i) q^{2} +(0.355450 + 1.69519i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-2.40093 - 0.780109i) q^{5} +(-1.50238 + 0.861894i) q^{6} +(-0.587785 - 0.809017i) q^{7} +(-0.809017 - 0.587785i) q^{8} +(-2.74731 + 1.20511i) q^{9} +O(q^{10})$	\(q+(0.309017 + 0.951057i) q^{2} +(0.355450 + 1.69519i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-2.40093 - 0.780109i) q^{5} +(-1.50238 + 0.861894i) q^{6} +(-0.587785 - 0.809017i) q^{7} +(-0.809017 - 0.587785i) q^{8} +(-2.74731 + 1.20511i) q^{9} -2.52448i q^{10} +(-2.28578 - 2.40317i) q^{11} +(-1.28397 - 1.16251i) q^{12} +(-2.68168 + 0.871332i) q^{13} +(0.587785 - 0.809017i) q^{14} +(0.469019 - 4.34731i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-0.600505 + 1.84816i) q^{17} +(-1.99509 - 2.24045i) q^{18} +(-0.670165 + 0.922404i) q^{19} +(2.40093 - 0.780109i) q^{20} +(1.16251 - 1.28397i) q^{21} +(1.57921 - 2.91652i) q^{22} +1.95181i q^{23} +(0.708840 - 1.58036i) q^{24} +(1.11080 + 0.807041i) q^{25} +(-1.65737 - 2.28118i) q^{26} +(-3.01941 - 4.22885i) q^{27} +(0.951057 + 0.309017i) q^{28} +(-0.436095 + 0.316841i) q^{29} +(4.27947 - 0.897328i) q^{30} +(1.43570 + 4.41863i) q^{31} +1.00000 q^{32} +(3.26134 - 4.72902i) q^{33} -1.94327 q^{34} +(0.780109 + 2.40093i) q^{35} +(1.51428 - 2.58978i) q^{36} +(-4.42744 + 3.21673i) q^{37} +(-1.08435 - 0.352327i) q^{38} +(-2.43027 - 4.23624i) q^{39} +(1.48385 + 2.04235i) q^{40} +(4.71469 + 3.42542i) q^{41} +(1.58036 + 0.708840i) q^{42} -7.17172i q^{43} +(3.26178 + 0.600659i) q^{44} +(7.53621 - 0.750177i) q^{45} +(-1.85628 + 0.603142i) q^{46} +(-6.77838 + 9.32963i) q^{47} +(1.72206 + 0.185788i) q^{48} +(-0.309017 + 0.951057i) q^{49} +(-0.424287 + 1.30582i) q^{50} +(-3.34643 - 0.361037i) q^{51} +(1.65737 - 2.28118i) q^{52} +(10.7681 - 3.49876i) q^{53} +(3.08882 - 4.17842i) q^{54} +(3.61325 + 7.55299i) q^{55} +1.00000i q^{56} +(-1.80186 - 0.808187i) q^{57} +(-0.436095 - 0.316841i) q^{58} +(2.15072 + 2.96022i) q^{59} +(2.17584 + 3.79273i) q^{60} +(-9.83154 - 3.19446i) q^{61} +(-3.75871 + 2.73086i) q^{62} +(2.58978 + 1.51428i) q^{63} +(0.309017 + 0.951057i) q^{64} +7.11826 q^{65} +(5.50538 + 1.64037i) q^{66} -0.0777526 q^{67} +(-0.600505 - 1.84816i) q^{68} +(-3.30868 + 0.693771i) q^{69} +(-2.04235 + 1.48385i) q^{70} +(-11.1681 - 3.62873i) q^{71} +(2.93097 + 0.639875i) q^{72} +(4.64870 + 6.39838i) q^{73} +(-4.42744 - 3.21673i) q^{74} +(-0.973252 + 2.16987i) q^{75} -1.14015i q^{76} +(-0.600659 + 3.26178i) q^{77} +(3.27791 - 3.62040i) q^{78} +(-16.0957 + 5.22983i) q^{79} +(-1.48385 + 2.04235i) q^{80} +(6.09543 - 6.62161i) q^{81} +(-1.80085 + 5.54244i) q^{82} +(-0.819945 + 2.52353i) q^{83} +(-0.185788 + 1.72206i) q^{84} +(2.88354 - 3.96885i) q^{85} +(6.82071 - 2.21618i) q^{86} +(-0.692115 - 0.626640i) q^{87} +(0.436685 + 3.28775i) q^{88} -0.938421i q^{89} +(3.04228 + 6.93554i) q^{90} +(2.28118 + 1.65737i) q^{91} +(-1.14724 - 1.57905i) q^{92} +(-6.98007 + 4.00438i) q^{93} +(-10.9676 - 3.56360i) q^{94} +(2.32859 - 1.69182i) q^{95} +(0.355450 + 1.69519i) q^{96} +(0.0157528 + 0.0484822i) q^{97} -1.00000 q^{98} +(9.17582 + 3.84764i) 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 $\left(\mathbb{Z}/462\mathbb{Z}\right)^\times$.

$n$	$155$	$199$	$211$
$\chi(n)$	$-1$	$1$	$e\left(\frac{9}{10}\right)$

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
$3$	0.355450	+	1.69519i	0.205219	+	0.978716i
$3$	0.355450	+	1.69519i	0.205219	+	0.978716i
$4$	−0.809017	+	0.587785i	−0.404508	+	0.293893i
$5$	−2.40093	−	0.780109i	−1.07373	−	0.348875i	−0.281789	−	0.959476i	$-0.590928\pi$
$5$	−2.40093	−	0.780109i	−1.07373	−	0.348875i	−0.791938	+	0.610601i	$0.790928\pi$
$6$	−1.50238	+	0.861894i	−0.613343	+	0.351867i
$7$	−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
$9$	−2.74731	+	1.20511i	−0.915770	+	0.401703i
$10$		−	2.52448i		−	0.798312i
$11$	−2.28578	−	2.40317i	−0.689188	−	0.724583i
$11$	−2.28578	−	2.40317i	−0.689188	−	0.724583i
$12$	−1.28397	−	1.16251i	−0.370650	−	0.335587i
$13$	−2.68168	+	0.871332i	−0.743765	+	0.241664i	−0.656296	−	0.754503i	$-0.727878\pi$
$13$	−2.68168	+	0.871332i	−0.743765	+	0.241664i	−0.0874690	+	0.996167i	$0.527878\pi$
$14$	0.587785	−	0.809017i	0.157092	−	0.216219i
$15$	0.469019	−	4.34731i	0.121100	−	1.12247i
$16$	0.309017	−	0.951057i	0.0772542	−	0.237764i
$17$	−0.600505	+	1.84816i	−0.145644	+	0.448246i	−0.997093	−	0.0761912i	$-0.975724\pi$
$17$	−0.600505	+	1.84816i	−0.145644	+	0.448246i	0.851449	+	0.524437i	$0.175724\pi$
$18$	−1.99509	−	2.24045i	−0.470248	−	0.528079i
$19$	−0.670165	+	0.922404i	−0.153747	+	0.211614i	−0.878941	−	0.476930i	$-0.841750\pi$
$19$	−0.670165	+	0.922404i	−0.153747	+	0.211614i	0.725195	+	0.688544i	$0.241750\pi$
$20$	2.40093	−	0.780109i	0.536864	−	0.174438i
$21$	1.16251	−	1.28397i	0.253680	−	0.280185i
$22$	1.57921	−	2.91652i	0.336688	−	0.621805i
$23$			1.95181i			0.406980i	0.979077	+	0.203490i	$0.0652285\pi$
$23$			1.95181i			0.406980i	−0.979077	+	0.203490i	$0.934772\pi$
$24$	0.708840	−	1.58036i	0.144691	−	0.322590i
$25$	1.11080	+	0.807041i	0.222159	+	0.161408i
$26$	−1.65737	−	2.28118i	−0.325037	−	0.447376i
$27$	−3.01941	−	4.22885i	−0.581087	−	0.813842i
$28$	0.951057	+	0.309017i	0.179733	+	0.0583987i
$29$	−0.436095	+	0.316841i	−0.0809807	+	0.0588359i	−0.627539	−	0.778585i	$-0.715938\pi$
$29$	−0.436095	+	0.316841i	−0.0809807	+	0.0588359i	0.546558	+	0.837421i	$0.315938\pi$
$30$	4.27947	−	0.897328i	0.781321	−	0.163829i
$31$	1.43570	+	4.41863i	0.257859	+	0.793609i	0.993253	+	0.115969i	$0.0369973\pi$
$31$	1.43570	+	4.41863i	0.257859	+	0.793609i	−0.735394	+	0.677640i	$0.763003\pi$
$32$	1.00000			0.176777
$33$	3.26134	−	4.72902i	0.567726	−	0.823217i
$34$	−1.94327			−0.333269
$35$	0.780109	+	2.40093i	0.131862	+	0.405831i
$36$	1.51428	−	2.58978i	0.252379	−	0.431630i
$37$	−4.42744	+	3.21673i	−0.727867	+	0.528827i	−0.888888	−	0.458124i	$-0.848521\pi$
$37$	−4.42744	+	3.21673i	−0.727867	+	0.528827i	0.161021	+	0.986951i	$0.448521\pi$
$38$	−1.08435	−	0.352327i	−0.175905	−	0.0571550i
$39$	−2.43027	−	4.23624i	−0.389155	−	0.678341i
$40$	1.48385	+	2.04235i	0.234618	+	0.322924i
$41$	4.71469	+	3.42542i	0.736310	+	0.534961i	0.891553	−	0.452916i	$-0.149616\pi$
$41$	4.71469	+	3.42542i	0.736310	+	0.534961i	−0.155243	+	0.987876i	$0.549616\pi$
$42$	1.58036	+	0.708840i	0.243855	+	0.109376i
$43$		−	7.17172i		−	1.09368i	−0.837238	−	0.546839i	$-0.815831\pi$
$43$		−	7.17172i		−	1.09368i	0.837238	−	0.546839i	$-0.184169\pi$
$44$	3.26178	+	0.600659i	0.491732	+	0.0905527i
$45$	7.53621	−	0.750177i	1.12343	−	0.111830i
$46$	−1.85628	+	0.603142i	−0.273694	+	0.0889284i
$47$	−6.77838	+	9.32963i	−0.988728	+	1.36087i	−0.0567354	+	0.998389i	$0.518069\pi$
$47$	−6.77838	+	9.32963i	−0.988728	+	1.36087i	−0.931992	+	0.362478i	$0.881931\pi$
$48$	1.72206	+	0.185788i	0.248558	+	0.0268162i
$49$	−0.309017	+	0.951057i	−0.0441453	+	0.135865i
$50$	−0.424287	+	1.30582i	−0.0600032	+	0.184671i
$51$	−3.34643	−	0.361037i	−0.468594	−	0.0505553i
$52$	1.65737	−	2.28118i	0.229836	−	0.316342i
$53$	10.7681	−	3.49876i	1.47911	−	0.480592i	0.545264	−	0.838264i	$-0.316429\pi$
$53$	10.7681	−	3.49876i	1.47911	−	0.480592i	0.933847	+	0.357672i	$0.116429\pi$
$54$	3.08882	−	4.17842i	0.420335	−	0.568611i
$55$	3.61325	+	7.55299i	0.487211	+	1.01844i
$56$			1.00000i			0.133631i
$57$	−1.80186	−	0.808187i	−0.238662	−	0.107047i
$58$	−0.436095	−	0.316841i	−0.0572620	−	0.0416033i
$59$	2.15072	+	2.96022i	0.280000	+	0.385387i	0.925734	−	0.378175i	$-0.123448\pi$
$59$	2.15072	+	2.96022i	0.280000	+	0.385387i	−0.645734	+	0.763563i	$0.723448\pi$
$60$	2.17584	+	3.79273i	0.280900	+	0.489639i
$61$	−9.83154	−	3.19446i	−1.25880	−	0.409009i	−0.397733	−	0.917501i	$-0.630203\pi$
$61$	−9.83154	−	3.19446i	−1.25880	−	0.409009i	−0.861067	+	0.508492i	$0.830203\pi$
$62$	−3.75871	+	2.73086i	−0.477356	+	0.346820i
$63$	2.58978	+	1.51428i	0.326282	+	0.190781i
$64$	0.309017	+	0.951057i	0.0386271	+	0.118882i
$65$	7.11826			0.882912
$66$	5.50538	+	1.64037i	0.677665	+	0.201915i
$67$	−0.0777526			−0.00949900			−0.00474950	−	0.999989i	$-0.501512\pi$
$67$	−0.0777526			−0.00949900			−0.00474950	+	0.999989i	$0.501512\pi$
$68$	−0.600505	−	1.84816i	−0.0728219	−	0.224123i
$69$	−3.30868	+	0.693771i	−0.398318	+	0.0835202i
$70$	−2.04235	+	1.48385i	−0.244108	+	0.177355i
$71$	−11.1681	−	3.62873i	−1.32541	−	0.430651i	−0.441059	−	0.897478i	$-0.645397\pi$
$71$	−11.1681	−	3.62873i	−1.32541	−	0.430651i	−0.884349	+	0.466827i	$0.845397\pi$
$72$	2.93097	+	0.639875i	0.345418	+	0.0754100i
$73$	4.64870	+	6.39838i	0.544089	+	0.748874i	0.989195	−	0.146604i	$-0.0468342\pi$
$73$	4.64870	+	6.39838i	0.544089	+	0.748874i	−0.445107	+	0.895478i	$0.646834\pi$
$74$	−4.42744	−	3.21673i	−0.514680	−	0.373937i
$75$	−0.973252	+	2.16987i	−0.112381	+	0.250555i
$76$		−	1.14015i		−	0.130785i
$77$	−0.600659	+	3.26178i	−0.0684514	+	0.371714i
$78$	3.27791	−	3.62040i	0.371150	−	0.409929i
$79$	−16.0957	+	5.22983i	−1.81091	+	0.588401i	−0.810918	+	0.585159i	$0.801032\pi$
$79$	−16.0957	+	5.22983i	−1.81091	+	0.588401i	−0.999995	+	0.00324219i	$0.998968\pi$
$80$	−1.48385	+	2.04235i	−0.165900	+	0.228342i
$81$	6.09543	−	6.62161i	0.677270	−	0.735735i
$82$	−1.80085	+	5.54244i	−0.198871	+	0.612061i
$83$	−0.819945	+	2.52353i	−0.0900006	+	0.276993i	−0.985919	−	0.167226i	$-0.946519\pi$
$83$	−0.819945	+	2.52353i	−0.0900006	+	0.276993i	0.895918	+	0.444220i	$0.146519\pi$
$84$	−0.185788	+	1.72206i	−0.0202711	+	0.187892i
$85$	2.88354	−	3.96885i	0.312763	−	0.430482i
$86$	6.82071	−	2.21618i	0.735496	−	0.238977i
$87$	−0.692115	−	0.626640i	−0.0742025	−	0.0671829i
$88$	0.436685	+	3.28775i	0.0465508	+	0.350475i
$89$		−	0.938421i		−	0.0994725i	−0.998762	−	0.0497362i	$-0.984162\pi$
$89$		−	0.938421i		−	0.0994725i	0.998762	−	0.0497362i	$-0.0158381\pi$
$90$	3.04228	+	6.93554i	0.320684	+	0.731070i
$91$	2.28118	+	1.65737i	0.239132	+	0.173740i
$92$	−1.14724	−	1.57905i	−0.119608	−	0.164627i
$93$	−6.98007	+	4.00438i	−0.723800	+	0.415235i
$94$	−10.9676	−	3.56360i	−1.13123	−	0.367558i
$95$	2.32859	−	1.69182i	0.238909	−	0.173577i
$96$	0.355450	+	1.69519i	0.0362780	+	0.173014i
$97$	0.0157528	+	0.0484822i	0.00159946	+	0.00492262i	0.951853	−	0.306555i	$-0.0991762\pi$
$97$	0.0157528	+	0.0484822i	0.00159946	+	0.00492262i	−0.950254	+	0.311477i	$0.899176\pi$
$98$	−1.00000			−0.101015
$99$	9.17582	+	3.84764i	0.922204	+	0.386703i
$100$	−1.37302			−0.137302
$101$	−4.17019	−	12.8345i	−0.414950	−	1.27708i	−0.912296	−	0.409532i	$-0.865692\pi$
$101$	−4.17019	−	12.8345i	−0.414950	−	1.27708i	0.497346	−	0.867552i	$-0.334308\pi$
$102$	−0.690737	−	3.29421i	−0.0683932	−	0.326175i
$103$	−14.2379	+	10.3445i	−1.40291	+	1.01927i	−0.408599	+	0.912714i	$0.633983\pi$
$103$	−14.2379	+	10.3445i	−1.40291	+	1.01927i	−0.994307	+	0.106557i	$0.966017\pi$
$104$	2.68168	+	0.871332i	0.262961	+	0.0854411i
$105$	−3.79273	+	2.17584i	−0.370132	+	0.212340i
$106$	6.65505	+	9.15989i	0.646395	+	0.889687i
$107$	6.64527	+	4.82807i	0.642422	+	0.466747i	0.860682	−	0.509144i	$-0.170038\pi$
$107$	6.64527	+	4.82807i	0.642422	+	0.466747i	−0.218259	+	0.975891i	$0.570038\pi$
$108$	4.92841	+	1.64644i	0.474237	+	0.158429i
$109$		−	1.29310i		−	0.123856i	−0.998081	−	0.0619281i	$-0.980275\pi$
$109$		−	1.29310i		−	0.123856i	0.998081	−	0.0619281i	$-0.0197249\pi$
$110$	−6.06676	+	5.77041i	−0.578443	+	0.550187i
$111$	−7.02668	−	6.36195i	−0.666943	−	0.603850i
$112$	−0.951057	+	0.309017i	−0.0898664	+	0.0291994i
$113$	5.02547	−	6.91697i	0.472757	−	0.650694i	−0.504336	−	0.863507i	$-0.668263\pi$
$113$	5.02547	−	6.91697i	0.472757	−	0.650694i	0.977093	+	0.212814i	$0.0682627\pi$
$114$	0.211827	−	1.96341i	0.0198394	−	0.183890i
$115$	1.52262	−	4.68615i	0.141985	−	0.436986i
$116$	0.166573	−	0.512660i	0.0154659	−	0.0475993i
$117$	6.31737	−	5.62554i	0.584041	−	0.520081i
$118$	−2.15072	+	2.96022i	−0.197990	+	0.272510i
$119$	1.84816	−	0.600505i	0.169421	−	0.0550482i
$120$	−2.93473	+	3.24136i	−0.267903	+	0.295895i
$121$	−0.550444	+	10.9862i	−0.0500404	+	0.998747i
$122$		−	10.3375i		−	0.935913i
$123$	−4.13089	+	9.20983i	−0.372469	+	0.830423i
$124$	−3.75871	−	2.73086i	−0.337542	−	0.245239i
$125$	5.38191	+	7.40756i	0.481373	+	0.662553i
$126$	−0.639875	+	2.93097i	−0.0570046	+	0.261111i
$127$	20.3852	+	6.62357i	1.80890	+	0.587747i	1.00000		0.000201735i	$-6.42141e-5\pi$
$127$	20.3852	+	6.62357i	1.80890	+	0.587747i	0.808898	+	0.587948i	$0.200064\pi$
$128$	−0.809017	+	0.587785i	−0.0715077	+	0.0519534i
$129$	12.1574	−	2.54919i	1.07040	−	0.224444i
$130$	2.19966	+	6.76987i	0.192923	+	0.593757i
$131$	7.96431			0.695845			0.347923	−	0.937523i	$-0.386887\pi$
$131$	7.96431			0.695845			0.347923	+	0.937523i	$0.386887\pi$
$132$	0.141172	+	5.74283i	0.0122875	+	0.499849i
$133$	1.14015			0.0988639
$134$	−0.0240269	−	0.0739471i	−0.00207561	−	0.00638806i
$135$	3.95044	+	12.5086i	0.339999	+	1.07657i
$136$	1.57214	−	1.14223i	0.134810	−	0.0979452i
$137$	−7.17933	−	2.33271i	−0.613372	−	0.199297i	−0.0141765	−	0.999900i	$-0.504513\pi$
$137$	−7.17933	−	2.33271i	−0.613372	−	0.199297i	−0.599195	+	0.800603i	$0.704513\pi$
$138$	−1.68225	−	2.93235i	−0.143203	−	0.249618i
$139$	10.8724	+	14.9646i	0.922184	+	1.26928i	0.962831	+	0.270104i	$0.0870582\pi$
$139$	10.8724	+	14.9646i	0.922184	+	1.26928i	−0.0406466	+	0.999174i	$0.512942\pi$
$140$	−2.04235	−	1.48385i	−0.172610	−	0.125409i
$141$	−18.2248	−	8.17439i	−1.53481	−	0.688408i
$142$		−	11.7428i		−	0.985436i
$143$	8.22369	+	4.45287i	0.687700	+	0.372368i
$144$	0.297161	+	2.98525i	0.0247634	+	0.248771i
$145$	1.29420	−	0.420512i	0.107478	−	0.0349216i
$146$	−4.64870	+	6.39838i	−0.384729	+	0.529534i
$147$	−1.72206	−	0.185788i	−0.142033	−	0.0153235i
$148$	1.69113	−	5.20477i	0.139010	−	0.427830i
$149$	4.89868	−	15.0766i	0.401316	−	1.23512i	−0.522617	−	0.852568i	$-0.675044\pi$
$149$	4.89868	−	15.0766i	0.401316	−	1.23512i	0.923933	−	0.382555i	$-0.124956\pi$
$150$	−2.36442	−	0.255091i	−0.193054	−	0.0208281i
$151$	7.18517	−	9.88954i	0.584721	−	0.804799i	−0.409482	−	0.912318i	$-0.634291\pi$
$151$	7.18517	−	9.88954i	0.584721	−	0.804799i	0.994203	+	0.107519i	$0.0342906\pi$
$152$	1.08435	−	0.352327i	0.0879524	−	0.0285775i
$153$	−0.577464	−	5.80115i	−0.0466852	−	0.468995i
$154$	−3.28775	+	0.436685i	−0.264935	+	0.0351891i
$155$		−	11.7288i		−	0.942080i
$156$	4.45613	+	1.99871i	0.356776	+	0.160025i
$157$	−8.23180	−	5.98076i	−0.656969	−	0.477316i	0.208669	−	0.977986i	$-0.433087\pi$
$157$	−8.23180	−	5.98076i	−0.656969	−	0.477316i	−0.865638	+	0.500670i	$0.833087\pi$
$158$	−9.94772	−	13.6919i	−0.791398	−	1.08927i
$159$	9.75858	+	17.0103i	0.773906	+	1.34900i
$160$	−2.40093	−	0.780109i	−0.189810	−	0.0616730i
$161$	1.57905	−	1.14724i	0.124446	−	0.0904155i
$162$	8.18112	+	3.75091i	0.642769	+	0.294699i
$163$	−1.98212	−	6.10034i	−0.155252	−	0.477815i	0.842935	−	0.538016i	$-0.180826\pi$
$163$	−1.98212	−	6.10034i	−0.155252	−	0.477815i	−0.998186	+	0.0602005i	$0.980826\pi$
$164$	−5.82767			−0.455065
$165$	−11.5194	+	8.80985i	−0.896783	+	0.685846i
$166$	−2.65340			−0.205944
$167$	2.28598	+	7.03551i	0.176894	+	0.544424i	0.999715	−	0.0238767i	$-0.00760092\pi$
$167$	2.28598	+	7.03551i	0.176894	+	0.544424i	−0.822821	+	0.568301i	$0.807601\pi$
$168$	−1.69519	+	0.355450i	−0.130786	+	0.0274236i
$169$	−4.08501	+	2.96793i	−0.314232	+	0.228303i
$170$	4.66566	+	1.51596i	0.357840	+	0.116269i
$171$	0.729556	−	3.34175i	0.0557906	−	0.255550i
$172$	4.21543	+	5.80204i	0.321424	+	0.442402i
$173$	17.0775	+	12.4075i	1.29838	+	0.943325i	0.999938	−	0.0111040i	$-0.00353457\pi$
$173$	17.0775	+	12.4075i	1.29838	+	0.943325i	0.298437	+	0.954429i	$0.403535\pi$
$174$	0.382095	−	0.851883i	0.0289665	−	0.0645811i
$175$		−	1.37302i		−	0.103791i
$176$	−2.99189	+	1.43128i	−0.225522	+	0.107887i
$177$	−4.25364	+	4.69809i	−0.319723	+	0.353130i
$178$	0.892492	−	0.289988i	0.0668951	−	0.0217355i
$179$	−8.12525	+	11.1835i	−0.607310	+	0.835890i	−0.996353	−	0.0853292i	$-0.972806\pi$
$179$	−8.12525	+	11.1835i	−0.607310	+	0.835890i	0.389043	+	0.921220i	$0.372806\pi$
$180$	−5.65598	+	5.03658i	−0.421572	+	0.375404i
$181$	3.21449	−	9.89318i	0.238931	−	0.735355i	−0.757644	−	0.652668i	$-0.773650\pi$
$181$	3.21449	−	9.89318i	0.238931	−	0.735355i	0.996576	−	0.0826870i	$-0.0263502\pi$
$182$	−0.871332	+	2.68168i	−0.0645874	+	0.198780i
$183$	1.92058	−	17.8018i	0.141974	−	1.31594i
$184$	1.14724	−	1.57905i	0.0845760	−	0.116409i
$185$	13.1394	−	4.26924i	0.966025	−	0.313881i
$186$	−5.96535	−	5.40102i	−0.437401	−	0.396022i
$187$	5.81407	−	2.78138i	0.425167	−	0.203394i
$188$		−	11.5321i		−	0.841062i
$189$	−1.64644	+	4.92841i	−0.119761	+	0.358489i
$190$	2.32859	+	1.69182i	0.168934	+	0.122738i
$191$	−15.1990	−	20.9197i	−1.09976	−	1.51370i	−0.835696	−	0.549192i	$-0.814936\pi$
$191$	−15.1990	−	20.9197i	−1.09976	−	1.51370i	−0.264068	−	0.964504i	$-0.585064\pi$
$192$	−1.50238	+	0.861894i	−0.108425	+	0.0622019i
$193$	−6.61788	−	2.15028i	−0.476366	−	0.154781i	0.0609865	−	0.998139i	$-0.480575\pi$
$193$	−6.61788	−	2.15028i	−0.476366	−	0.154781i	−0.537352	+	0.843358i	$0.680575\pi$
$194$	−0.0412414	+	0.0299636i	−0.00296096	+	0.00215126i
$195$	2.53019	+	12.0668i	0.181190	+	0.864120i
$196$	−0.309017	−	0.951057i	−0.0220726	−	0.0679326i
$197$	−2.55289			−0.181886			−0.0909428	−	0.995856i	$-0.528988\pi$
$197$	−2.55289			−0.181886			−0.0909428	+	0.995856i	$0.528988\pi$
$198$	−0.823841	+	9.91571i	−0.0585479	+	0.704679i
$199$	−13.8285			−0.980278			−0.490139	−	0.871644i	$-0.663054\pi$
$199$	−13.8285			−0.980278			−0.490139	+	0.871644i	$0.663054\pi$
$200$	−0.424287	−	1.30582i	−0.0300016	−	0.0923354i
$201$	−0.0276372	−	0.131805i	−0.00194938	−	0.00929682i
$202$	10.9177	−	7.93218i	0.768167	−	0.558106i
$203$	0.512660	+	0.166573i	0.0359817	+	0.0116912i
$204$	2.91953	−	1.67490i	0.204408	−	0.117266i
$205$	−8.64742	−	11.9021i	−0.603962	−	0.831282i
$206$	−14.2379	−	10.3445i	−0.992004	−	0.720733i
$207$	−2.35214	−	5.36222i	−0.163485	−	0.372700i
$208$			2.81969i			0.195510i
$209$	3.74854	−	0.497888i	0.259292	−	0.0344397i
$210$	−3.24136	−	2.93473i	−0.223675	−	0.202515i
$211$	23.9330	−	7.77631i	1.64762	−	0.535343i	0.669396	−	0.742906i	$-0.266553\pi$
$211$	23.9330	−	7.77631i	1.64762	−	0.535343i	0.978222	+	0.207563i	$0.0665531\pi$
$212$	−6.65505	+	9.15989i	−0.457070	+	0.629104i
$213$	2.18168	−	20.2218i	0.149486	−	1.38558i
$214$	−2.53827	+	7.81198i	−0.173512	+	0.534016i
$215$	−5.59472	+	17.2188i	−0.381557	+	1.17431i
$216$	−0.0428954	+	5.19598i	−0.00291866	+	0.353541i
$217$	2.73086	−	3.75871i	0.185383	−	0.255158i
$218$	1.22981	−	0.399589i	0.0832931	−	0.0270636i
$219$	−9.19407	+	10.1547i	−0.621277	+	0.686192i
$220$	−7.36272	−	3.98668i	−0.496394	−	0.268782i
$221$		−	5.47943i		−	0.368586i
$222$	3.87921	−	8.64873i	0.260356	−	0.580464i
$223$	0.479187	+	0.348150i	0.0320887	+	0.0233138i	0.603714	−	0.797201i	$-0.293687\pi$
$223$	0.479187	+	0.348150i	0.0320887	+	0.0233138i	−0.571625	+	0.820515i	$0.693687\pi$
$224$	−0.587785	−	0.809017i	−0.0392731	−	0.0540547i
$225$	−4.02428	−	0.878562i	−0.268285	−	0.0585708i
$226$	8.13139	+	2.64205i	0.540892	+	0.175746i
$227$	−15.5146	+	11.2720i	−1.02974	+	0.748152i	−0.968257	−	0.249956i	$-0.919584\pi$
$227$	−15.5146	+	11.2720i	−1.02974	+	0.748152i	−0.0614855	+	0.998108i	$0.519584\pi$
$228$	1.93277	−	0.405268i	0.128001	−	0.0268395i
$229$	−8.06612	−	24.8250i	−0.533024	−	1.64048i	−0.747881	−	0.663833i	$-0.768928\pi$
$229$	−8.06612	−	24.8250i	−0.533024	−	1.64048i	0.214857	−	0.976646i	$-0.431072\pi$
$230$	4.92731			0.324897
$231$	−5.74283	+	0.141172i	−0.377850	+	0.00928847i
$232$	0.539043			0.0353899
$233$	−3.54864	−	10.9216i	−0.232479	−	0.715497i	−0.997446	−	0.0714270i	$-0.977245\pi$
$233$	−3.54864	−	10.9216i	−0.232479	−	0.715497i	0.764967	−	0.644070i	$-0.222755\pi$
$234$	7.30238	+	4.26979i	0.477372	+	0.279125i
$235$	23.5525	−	17.1119i	1.53640	−	1.11626i
$236$	−3.47994	−	1.13070i	−0.226525	−	0.0736024i
$237$	−14.5868	−	25.4263i	−0.947512	−	1.65162i
$238$	1.14223	+	1.57214i	0.0740396	+	0.101907i
$239$	5.72110	+	4.15662i	0.370067	+	0.268870i	0.757239	−	0.653138i	$-0.226548\pi$
$239$	5.72110	+	4.15662i	0.370067	+	0.268870i	−0.387172	+	0.922008i	$0.626548\pi$
$240$	−3.98960	−	1.78946i	−0.257528	−	0.115509i
$241$		−	8.34112i		−	0.537299i	−0.963238	−	0.268649i	$-0.913423\pi$
$241$		−	8.34112i		−	0.537299i	0.963238	−	0.268649i	$-0.0865773\pi$
$242$	−10.6186	+	2.87142i	−0.682590	+	0.184582i
$243$	13.3915	+	7.97923i	0.859064	+	0.511868i
$244$	9.83154	−	3.19446i	0.629400	−	0.204504i
$245$	1.48385	−	2.04235i	0.0948000	−	0.130481i
$246$	−10.0356	−	1.08271i	−0.639846	−	0.0690312i
$247$	0.993452	−	3.05753i	0.0632119	−	0.194546i
$248$	1.43570	−	4.41863i	0.0911670	−	0.280583i
$249$	−4.56930	−	0.492969i	−0.289568	−	0.0312407i
$250$	−5.38191	+	7.40756i	−0.340382	+	0.468495i
$251$	−17.1133	+	5.56045i	−1.08018	+	0.350973i	−0.794446	−	0.607335i	$-0.792239\pi$
$251$	−17.1133	+	5.56045i	−1.08018	+	0.350973i	−0.285737	+	0.958308i	$0.592239\pi$
$252$	−2.98525	+	0.297161i	−0.188053	+	0.0187194i
$253$	4.69053	−	4.46140i	0.294891	−	0.280486i
$254$			21.4343i			1.34491i
$255$	7.75289	+	3.47740i	0.485505	+	0.217763i
$256$	−0.809017	−	0.587785i	−0.0505636	−	0.0367366i
$257$	13.8716	+	19.0926i	0.865284	+	1.19096i	0.980284	+	0.197596i	$0.0633133\pi$
$257$	13.8716	+	19.0926i	0.865284	+	1.19096i	−0.115000	+	0.993366i	$0.536687\pi$
$258$	6.18127	+	10.7746i	0.384829	+	0.670799i
$259$	5.20477	+	1.69113i	0.323409	+	0.105082i
$260$	−5.75879	+	4.18401i	−0.357145	+	0.259481i
$261$	0.816259	−	1.39600i	0.0505252	−	0.0864104i
$262$	2.46111	+	7.57451i	0.152048	+	0.467955i
$263$	−9.24161			−0.569862			−0.284931	−	0.958548i	$-0.591971\pi$
$263$	−9.24161			−0.569862			−0.284931	+	0.958548i	$0.591971\pi$
$264$	−5.41813	+	1.90889i	−0.333463	+	0.117484i
$265$	−28.5828			−1.75583
$266$	0.352327	+	1.08435i	0.0216025	+	0.0664858i
$267$	1.59080	−	0.333562i	0.0973553	−	0.0204137i
$268$	0.0629032	−	0.0457019i	0.00384242	−	0.00279168i
$269$	−9.87348	−	3.20809i	−0.601997	−	0.195601i	−0.00786607	−	0.999969i	$-0.502504\pi$
$269$	−9.87348	−	3.20809i	−0.601997	−	0.195601i	−0.594131	+	0.804368i	$0.702504\pi$
$270$	−10.6757	+	7.62246i	−0.649700	+	0.463888i
$271$	3.36785	+	4.63545i	0.204582	+	0.281583i	0.898963	−	0.438024i	$-0.144322\pi$
$271$	3.36785	+	4.63545i	0.204582	+	0.281583i	−0.694381	+	0.719608i	$0.744322\pi$
$272$	1.57214	+	1.14223i	0.0953251	+	0.0692577i
$273$	−1.99871	+	4.45613i	−0.120967	+	0.269697i
$274$		−	7.54880i		−	0.456039i
$275$	−0.599578	−	4.51415i	−0.0361559	−	0.272213i
$276$	2.26899	−	2.50606i	0.136577	−	0.150847i
$277$	8.95982	−	2.91122i	0.538344	−	0.174918i	−0.0272104	−	0.999630i	$-0.508662\pi$
$277$	8.95982	−	2.91122i	0.538344	−	0.174918i	0.565554	+	0.824711i	$0.308662\pi$
$278$	−10.8724	+	14.9646i	−0.652083	+	0.897515i
$279$	−9.26923	−	10.4092i	−0.554935	−	0.623181i
$280$	0.780109	−	2.40093i	0.0466204	−	0.143483i
$281$	−0.694050	+	2.13607i	−0.0414036	+	0.127427i	−0.969622	−	0.244609i	$-0.921340\pi$
$281$	−0.694050	+	2.13607i	−0.0414036	+	0.127427i	0.928218	+	0.372036i	$0.121340\pi$
$282$	2.14252	−	19.8589i	0.127585	−	1.18258i
$283$	12.8043	−	17.6236i	0.761134	−	1.04761i	−0.235984	−	0.971757i	$-0.575831\pi$
$283$	12.8043	−	17.6236i	0.761134	−	1.04761i	0.997119	−	0.0758548i	$-0.0241686\pi$
$284$	11.1681	−	3.62873i	0.662704	−	0.215326i
$285$	3.69565	+	3.34604i	0.218912	+	0.198202i
$286$	−1.69367	+	9.19721i	−0.100149	+	0.543842i
$287$		−	5.82767i		−	0.343997i
$288$	−2.74731	+	1.20511i	−0.161887	+	0.0710117i
$289$	10.6982	+	7.77269i	0.629305	+	0.457217i
$290$	0.799861	+	1.10091i	0.0469694	+	0.0646479i
$291$	−0.0765870	+	0.0439369i	−0.00448961	+	0.00257563i
$292$	−7.52175	−	2.44396i	−0.440177	−	0.143022i
$293$	−3.23645	+	2.35142i	−0.189075	+	0.137371i	−0.678296	−	0.734789i	$-0.737281\pi$
$293$	−3.23645	+	2.35142i	−0.189075	+	0.137371i	0.489221	+	0.872160i	$0.337281\pi$
$294$	−0.355450	−	1.69519i	−0.0207303	−	0.0988652i
$295$	−2.85444	−	8.78506i	−0.166192	−	0.511486i
$296$	5.47262			0.318090
$297$	−3.26092	+	16.9224i	−0.189218	+	0.981935i
$298$	15.8525			0.918309
$299$	−1.70067	−	5.23413i	−0.0983525	−	0.302698i
$300$	−0.488040	−	2.32753i	−0.0281770	−	0.134380i
$301$	−5.80204	+	4.21543i	−0.334424	+	0.242973i
$302$	11.6258	+	3.77747i	0.668992	+	0.217369i
$303$	20.2746	−	11.6313i	1.16475	−	0.668200i
$304$	0.670165	+	0.922404i	0.0384366	+	0.0529035i
$305$	21.1128	+	15.3393i	1.20891	+	0.878328i
$306$	5.33878	−	2.34186i	0.305198	−	0.133875i
$307$		−	12.8498i		−	0.733379i	−0.930343	−	0.366690i	$-0.880491\pi$
$307$		−	12.8498i		−	0.733379i	0.930343	−	0.366690i	$-0.119509\pi$
$308$	−1.43128	−	2.99189i	−0.0815549	−	0.170479i
$309$	−22.5967	−	20.4590i	−1.28548	−	1.16387i
$310$	11.1548	−	3.62440i	0.633547	−	0.205852i
$311$	−6.80143	+	9.36137i	−0.385674	+	0.530835i	−0.957077	−	0.289835i	$-0.906399\pi$
$311$	−6.80143	+	9.36137i	−0.385674	+	0.530835i	0.571403	+	0.820670i	$0.306399\pi$
$312$	−0.523865	+	4.85567i	−0.0296580	+	0.274898i
$313$	8.69034	−	26.7461i	0.491207	−	1.51178i	−0.331579	−	0.943428i	$-0.607581\pi$
$313$	8.69034	−	26.7461i	0.491207	−	1.51178i	0.822786	−	0.568352i	$-0.192419\pi$
$314$	3.14427	−	9.67707i	0.177441	−	0.546108i
$315$	−5.03658	−	5.65598i	−0.283779	−	0.318678i
$316$	9.94772	−	13.6919i	0.559603	−	0.770227i
$317$	3.76993	−	1.22492i	0.211740	−	0.0687986i	−0.201226	−	0.979545i	$-0.564493\pi$
$317$	3.76993	−	1.22492i	0.211740	−	0.0687986i	0.412967	+	0.910746i	$0.364493\pi$
$318$	−13.1622	+	14.5374i	−0.738098	+	0.815218i
$319$	1.75824	+	0.323780i	0.0984424	+	0.0181282i
$320$		−	2.52448i		−	0.141123i
$321$	−5.82242	+	12.9811i	−0.324976	+	0.724535i
$322$	1.57905	+	1.14724i	0.0879968	+	0.0639334i
$323$	−1.30232	−	1.79248i	−0.0724628	−	0.0997364i
$324$	−1.03922	+	8.93980i	−0.0577344	+	0.496656i
$325$	−3.68201	−	1.19636i	−0.204241	−	0.0663619i
$326$	5.18926	−	3.77022i	0.287406	−	0.208813i
$327$	2.19204	−	0.459631i	0.121220	−	0.0254177i
$328$	−1.80085	−	5.54244i	−0.0994353	−	0.306030i
$329$	11.5321			0.635783
$330$	−11.9383	−	8.23320i	−0.657184	−	0.453223i
$331$	−34.4306			−1.89248			−0.946239	−	0.323468i	$-0.895151\pi$
$331$	−34.4306			−1.89248			−0.946239	+	0.323468i	$0.895151\pi$
$332$	−0.819945	−	2.52353i	−0.0450003	−	0.138497i
$333$	8.28706	−	14.1729i	0.454128	−	0.776670i
$334$	−5.98476	+	4.34819i	−0.327472	+	0.237922i
$335$	0.186678	+	0.0606555i	0.0101993	+	0.00331396i
$336$	−0.861894	−	1.50238i	−0.0470202	−	0.0819614i
$337$	9.02974	+	12.4284i	0.491881	+	0.677016i	0.980734	−	0.195350i	$-0.0625843\pi$
$337$	9.02974	+	12.4284i	0.491881	+	0.677016i	−0.488852	+	0.872366i	$0.662584\pi$
$338$	−4.08501	−	2.96793i	−0.222195	−	0.161434i
$339$	13.5119	+	6.06047i	0.733863	+	0.329160i
$340$			4.90577i			0.266052i
$341$	7.33702	−	13.5502i	0.397322	−	0.733786i
$342$	3.40364	−	0.338809i	0.184048	−	0.0183207i
$343$	0.951057	−	0.309017i	0.0513522	−	0.0166853i
$344$	−4.21543	+	5.80204i	−0.227281	+	0.312825i
$345$	8.48511	+	0.915435i	0.456823	+	0.0492854i
$346$	−6.52301	+	20.0758i	−0.350679	+	1.07928i
$347$	8.44647	−	25.9956i	0.453430	−	1.39552i	−0.419538	−	0.907738i	$-0.637808\pi$
$347$	8.44647	−	25.9956i	0.453430	−	1.39552i	0.872968	−	0.487777i	$-0.162192\pi$
$348$	0.928262	+	0.100148i	0.0497601	+	0.00536848i
$349$	−20.7012	+	28.4928i	−1.10811	+	1.52518i	−0.283940	+	0.958842i	$0.591642\pi$
$349$	−20.7012	+	28.4928i	−1.10811	+	1.52518i	−0.824171	+	0.566341i	$0.808358\pi$
$350$	1.30582	−	0.424287i	0.0697990	−	0.0226791i
$351$	11.7818	+	8.70952i	0.628868	+	0.464880i
$352$	−2.28578	−	2.40317i	−0.121832	−	0.128089i
$353$		−	8.71861i		−	0.464045i	−0.972710	−	0.232022i	$-0.925466\pi$
$353$		−	8.71861i		−	0.464045i	0.972710	−	0.232022i	$-0.0745343\pi$
$354$	−5.78259	−	2.59367i	−0.307341	−	0.137852i
$355$	23.9830	+	17.4246i	1.27288	+	0.924804i
$356$	0.551590	+	0.759199i	0.0292342	+	0.0402375i
$357$	1.67490	+	2.91953i	0.0886450	+	0.154518i
$358$	−13.1469	−	4.27170i	−0.694837	−	0.225766i
$359$	−26.4454	+	19.2137i	−1.39573	+	1.01406i	−0.400525	+	0.916286i	$0.631172\pi$
$359$	−26.4454	+	19.2137i	−1.39573	+	1.01406i	−0.995209	+	0.0977735i	$0.968828\pi$
$360$	−6.53786	−	3.82277i	−0.344576	−	0.201477i
$361$	5.46962	+	16.8337i	0.287875	+	0.885987i
$362$	10.4023			0.546733
$363$	−18.8193	+	2.97195i	−0.987759	+	0.155987i
$364$	−2.81969			−0.147792
$365$	−6.16975	−	18.9885i	−0.322939	−	0.993905i
$366$	17.5240	−	3.67446i	0.915993	−	0.192067i
$367$	−18.8187	+	13.6726i	−0.982328	+	0.713703i	−0.958228	−	0.286006i	$-0.907672\pi$
$367$	−18.8187	+	13.6726i	−0.982328	+	0.713703i	−0.0241007	+	0.999710i	$0.507672\pi$
$368$	1.85628	+	0.603142i	0.0967653	+	0.0314409i
$369$	−17.0807	−	3.72898i	−0.889186	−	0.194123i
$370$	8.12057	+	11.1770i	0.422169	+	0.581065i
$371$	−9.15989	−	6.65505i	−0.475558	−	0.345513i
$372$	3.29328	−	7.34240i	0.170749	−	0.380685i
$373$			5.34127i			0.276561i	0.990393	+	0.138280i	$0.0441575\pi$
$373$			5.34127i			0.276561i	−0.990393	+	0.138280i	$0.955843\pi$
$374$	4.44189	+	4.67002i	0.229685	+	0.241481i
$375$	−10.6442	+	11.7564i	−0.549664	+	0.607096i
$376$	10.9676	−	3.56360i	0.565613	−	0.183779i
$377$	0.893394	−	1.22965i	0.0460121	−	0.0633303i
$378$	−5.19598	−	0.0428954i	−0.267252	−	0.00220630i
$379$	−8.33235	+	25.6443i	−0.428004	+	1.31726i	0.472084	+	0.881553i	$0.343502\pi$
$379$	−8.33235	+	25.6443i	−0.428004	+	1.31726i	−0.900088	+	0.435707i	$0.856498\pi$
$380$	−0.889444	+	2.73743i	−0.0456275	+	0.140427i
$381$	−3.98224	+	36.9111i	−0.204016	+	1.89101i
$382$	15.1990	−	20.9197i	0.777651	−	1.07034i
$383$	−4.16997	+	1.35491i	−0.213076	+	0.0692325i	−0.413610	−	0.910454i	$-0.635732\pi$
$383$	−4.16997	+	1.35491i	−0.213076	+	0.0692325i	0.200534	+	0.979687i	$0.435732\pi$
$384$	−1.28397	−	1.16251i	−0.0655223	−	0.0593239i
$385$	3.98668	−	7.36272i	0.203180	−	0.375239i
$386$		−	6.95845i		−	0.354176i
$387$	8.64270	+	19.7029i	0.439333	+	1.00156i
$388$	−0.0412414	−	0.0299636i	−0.00209372	−	0.00152117i
$389$	17.1188	+	23.5620i	0.867957	+	1.19464i	0.979613	+	0.200894i	$0.0643845\pi$
$389$	17.1188	+	23.5620i	0.867957	+	1.19464i	−0.111656	+	0.993747i	$0.535615\pi$
$390$	−10.6943	+	6.13519i	−0.541528	+	0.310667i
$391$	−3.60726	−	1.17207i	−0.182427	−	0.0592741i
$392$	0.809017	−	0.587785i	0.0408615	−	0.0296876i
$393$	2.83092	+	13.5010i	0.142801	+	0.681035i
$394$	−0.788885	−	2.42794i	−0.0397434	−	0.122318i
$395$	42.7246			2.14971
$396$	−9.68498	+	2.28060i	−0.486689	+	0.114605i
$397$	1.67904			0.0842687			0.0421344	−	0.999112i	$-0.486584\pi$
$397$	1.67904			0.0842687			0.0421344	+	0.999112i	$0.486584\pi$
$398$	−4.27325	−	13.1517i	−0.214199	−	0.659236i
$399$	0.405268	+	1.93277i	0.0202888	+	0.0967596i
$400$	1.11080	−	0.807041i	0.0555399	−	0.0403521i
$401$	−19.7583	−	6.41987i	−0.986684	−	0.320593i	−0.229152	−	0.973391i	$-0.573595\pi$
$401$	−19.7583	−	6.41987i	−0.986684	−	0.320593i	−0.757532	+	0.652798i	$0.773595\pi$
$402$	0.116814	−	0.0670146i	0.00582614	−	0.00334238i
$403$	−7.70018	−	10.5984i	−0.383573	−	0.527944i
$404$	10.9177	+	7.93218i	0.543176	+	0.394641i
$405$	−19.8003	+	11.1429i	−0.983883	+	0.553696i
$406$			0.539043i			0.0267522i
$407$	17.8505	+	3.28718i	0.884816	+	0.162939i
$408$	2.49511	+	2.25907i	0.123526	+	0.111841i
$409$	−17.4300	+	5.66334i	−0.861857	+	0.280034i	−0.706404	−	0.707809i	$-0.749684\pi$
$409$	−17.4300	+	5.66334i	−0.861857	+	0.280034i	−0.155453	+	0.987843i	$0.549684\pi$
$410$	8.64742	−	11.9021i	0.427065	−	0.587805i
$411$	1.40248	−	12.9995i	0.0691790	−	0.641216i
$412$	5.43841	−	16.7377i	0.267931	−	0.824607i
$413$	1.13070	−	3.47994i	0.0556382	−	0.171237i
$414$	4.37293	−	3.89404i	0.214918	−	0.191381i
$415$	3.93725	−	5.41917i	0.193272	−	0.266016i
$416$	−2.68168	+	0.871332i	−0.131480	+	0.0427206i
$417$	−21.5031	+	23.7499i	−1.05301	+	1.16304i
$418$	1.63188	+	3.41122i	0.0798180	+	0.166848i
$419$			14.2668i			0.696977i	0.937313	+	0.348489i	$0.113305\pi$
$419$			14.2668i			0.696977i	−0.937313	+	0.348489i	$0.886695\pi$
$420$	1.78946	−	3.98960i	0.0873165	−	0.194673i
$421$	−1.77462	−	1.28933i	−0.0864895	−	0.0628383i	0.543700	−	0.839280i	$-0.317023\pi$
$421$	−1.77462	−	1.28933i	−0.0864895	−	0.0628383i	−0.630190	+	0.776441i	$0.717023\pi$
$422$	14.7914	+	20.3586i	0.720035	+	0.991043i
$423$	7.37908	−	33.8001i	0.358783	−	1.64342i
$424$	−10.7681	−	3.49876i	−0.522945	−	0.169915i
$425$	−2.15858	+	1.56830i	−0.104707	+	0.0760738i
$426$	19.9063	−	4.17399i	0.964462	−	0.202230i
$427$	3.19446	+	9.83154i	0.154591	+	0.475782i
$428$	−8.21400			−0.397039
$429$	−4.62533	+	15.5235i	−0.223313	+	0.749480i
$430$	−18.1049			−0.873096
$431$	4.07361	+	12.5373i	0.196219	+	0.603900i	0.999960	+	0.00892107i	$0.00283970\pi$
$431$	4.07361	+	12.5373i	0.196219	+	0.603900i	−0.803741	+	0.594979i	$0.797160\pi$
$432$	−4.95492	+	1.56485i	−0.238394	+	0.0752888i
$433$	27.4189	−	19.9210i	1.31767	−	0.957343i	0.317712	−	0.948187i	$-0.397086\pi$
$433$	27.4189	−	19.9210i	1.31767	−	0.957343i	0.999958	−	0.00915582i	$-0.00291443\pi$
$434$	4.41863	+	1.43570i	0.212101	+	0.0689158i
$435$	1.17287	+	2.04444i	0.0562348	+	0.0980235i
$436$	0.760063	+	1.04614i	0.0364004	+	0.0501008i
$437$	−1.80036	−	1.30803i	−0.0861227	−	0.0625718i
$438$	−12.4988	−	5.60610i	−0.597217	−	0.267870i
$439$			31.9717i			1.52592i	0.646443	+	0.762962i	$0.276256\pi$
$439$			31.9717i			1.52592i	−0.646443	+	0.762962i	$0.723744\pi$
$440$	1.51635	−	8.23431i	0.0722893	−	0.392555i
$441$	−0.297161	−	2.98525i	−0.0141505	−	0.142155i
$442$	5.21125	−	1.69324i	0.247874	−	0.0805391i
$443$	−4.73709	+	6.52004i	−0.225066	+	0.309777i	−0.906585	−	0.422024i	$-0.861320\pi$
$443$	−4.73709	+	6.52004i	−0.225066	+	0.309777i	0.681519	+	0.731801i	$0.261320\pi$
$444$	9.42417	+	1.01675i	0.447251	+	0.0482527i
$445$	−0.732071	+	2.25308i	−0.0347035	+	0.106806i
$446$	−0.183033	+	0.563318i	−0.00866687	+	0.0266739i
$447$	27.2989	+	2.94520i	1.29119	+	0.139303i
$448$	0.587785	−	0.809017i	0.0277702	−	0.0382225i
$449$	−19.3529	+	6.28815i	−0.913321	+	0.296756i	−0.727724	−	0.685870i	$-0.759422\pi$
$449$	−19.3529	+	6.28815i	−0.913321	+	0.296756i	−0.185597	+	0.982626i	$0.559422\pi$
$450$	−0.408008	−	4.09881i	−0.0192337	−	0.193220i
$451$	−2.54486	−	19.1599i	−0.119833	−	0.902206i
$452$			8.54984i			0.402151i
$453$	19.3186	+	8.66496i	0.907666	+	0.407115i
$454$	−15.5146	−	11.2720i	−0.728138	−	0.529023i
$455$	−4.18401	−	5.75879i	−0.196149	−	0.269976i
$456$	0.982692	+	1.71294i	0.0460188	+	0.0802158i
$457$	36.5922	+	11.8895i	1.71171	+	0.556168i	0.990617	−	0.136671i	$-0.0436402\pi$
$457$	36.5922	+	11.8895i	1.71171	+	0.556168i	0.721093	+	0.692839i	$0.243640\pi$
$458$	21.1174	−	15.3427i	0.986750	−	0.716916i
$459$	9.62877	−	3.04093i	0.449433	−	0.141938i
$460$	1.52262	+	4.68615i	0.0709926	+	0.218493i
$461$	13.4718			0.627443			0.313722	−	0.949515i	$-0.398424\pi$
$461$	13.4718			0.627443			0.313722	+	0.949515i	$0.398424\pi$
$462$	−1.90889	−	5.41813i	−0.0888098	−	0.252074i
$463$	−9.34629			−0.434359			−0.217180	−	0.976132i	$-0.569686\pi$
$463$	−9.34629			−0.434359			−0.217180	+	0.976132i	$0.569686\pi$
$464$	0.166573	+	0.512660i	0.00773297	+	0.0237996i
$465$	19.8825	−	4.16901i	0.922029	−	0.193333i
$466$	9.29045	−	6.74991i	0.430372	−	0.312683i
$467$	−26.9650	−	8.76146i	−1.24779	−	0.405432i	−0.390662	−	0.920534i	$-0.627754\pi$
$467$	−26.9650	−	8.76146i	−1.24779	−	0.405432i	−0.857129	+	0.515102i	$0.827754\pi$
$468$	−1.80425	+	8.26441i	−0.0834015	+	0.382023i
$469$	0.0457019	+	0.0629032i	0.00211032	+	0.00290460i
$470$	23.5525	+	17.1119i	1.08640	+	0.789313i
$471$	7.21250	−	16.0803i	0.332334	−	0.740941i
$472$		−	3.65903i		−	0.168420i
$473$	−17.2349	+	16.3930i	−0.792460	+	0.753749i
$474$	19.6743	−	21.7300i	0.903672	−	0.998092i
$475$	−1.48884	+	0.483752i	−0.0683125	+	0.0221961i
$476$	−1.14223	+	1.57214i	−0.0523539	+	0.0720590i
$477$	−25.3669	+	22.5889i	−1.16147	+	1.03428i
$478$	−2.18527	+	6.72556i	−0.0999518	+	0.307620i
$479$	−0.654537	+	2.01446i	−0.0299066	+	0.0920430i	−0.964896	−	0.262633i	$-0.915409\pi$
$479$	−0.654537	+	2.01446i	−0.0299066	+	0.0920430i	0.934989	+	0.354676i	$0.115409\pi$
$480$	0.469019	−	4.34731i	0.0214077	−	0.198427i
$481$	9.07017	−	12.4840i	0.413564	−	0.569222i
$482$	7.93287	−	2.57755i	0.361332	−	0.117404i
$483$	2.50606	+	2.26899i	0.114030	+	0.103243i
$484$	−6.01222	−	9.21158i	−0.273283	−	0.418708i
$485$		−	0.128691i		−	0.00584356i
$486$	−3.45050	+	15.2018i	−0.156518	+	0.689567i
$487$	26.5592	+	19.2964i	1.20351	+	0.874401i	0.994625	−	0.103539i	$-0.0330166\pi$
$487$	26.5592	+	19.2964i	1.20351	+	0.874401i	0.208885	+	0.977940i	$0.433017\pi$
$488$	6.07623	+	8.36321i	0.275058	+	0.378585i
$489$	9.63666	−	5.52843i	0.435785	−	0.250004i
$490$	2.40093	+	0.780109i	0.108463	+	0.0352417i
$491$	−11.5525	+	8.39336i	−0.521356	+	0.378787i	−0.817114	−	0.576476i	$-0.804428\pi$
$491$	−11.5525	+	8.39336i	−0.521356	+	0.378787i	0.295759	+	0.955263i	$0.404428\pi$
$492$	−2.07145	−	9.87899i	−0.0933880	−	0.445379i
$493$	−0.323698	−	0.996239i	−0.0145786	−	0.0448683i
$494$	3.21488			0.144644
$495$	−19.0289	−	16.3960i	−0.855285	−	0.736947i
$496$	4.64602			0.208612
$497$	3.62873	+	11.1681i	0.162771	+	0.500957i
$498$	−0.943150	−	4.49800i	−0.0422636	−	0.201560i
$499$	−27.3474	+	19.8690i	−1.22424	+	0.889460i	−0.996445	−	0.0842500i	$-0.973151\pi$
$499$	−27.3474	+	19.8690i	−1.22424	+	0.889460i	−0.227792	+	0.973710i	$0.573151\pi$
$500$	−8.70811	−	2.82944i	−0.389439	−	0.126536i
$501$	−11.1140	+	6.37593i	−0.496535	+	0.284856i
$502$	−10.5766	−	14.5575i	−0.472057	−	0.649731i
$503$	−28.6847	−	20.8406i	−1.27899	−	0.929238i	−0.279464	−	0.960156i	$-0.590157\pi$
$503$	−28.6847	−	20.8406i	−1.27899	−	0.929238i	−0.999522	+	0.0309182i	$0.990157\pi$
$504$	−1.20511	−	2.74731i	−0.0536798	−	0.122375i
$505$			34.0680i			1.51601i
$506$	5.69249	+	3.08231i	0.253062	+	0.137025i
$507$	−6.48322	−	5.86990i	−0.287930	−	0.260691i
$508$	−20.3852	+	6.62357i	−0.904449	+	0.293873i
$509$	15.1683	−	20.8774i	0.672323	−	0.925373i	−0.327488	−	0.944856i	$-0.606202\pi$
$509$	15.1683	−	20.8774i	0.672323	−	0.925373i	0.999810	+	0.0194827i	$0.00620194\pi$
$510$	−0.911432	+	8.44801i	−0.0403589	+	0.374084i
$511$	2.44396	−	7.52175i	0.108115	−	0.332743i
$512$	0.309017	−	0.951057i	0.0136568	−	0.0420312i
$513$	5.92421	+	0.0489074i	0.261560	+	0.00215931i
$514$	−13.8716	+	19.0926i	−0.611848	+	0.842137i
$515$	42.2541	−	13.7292i	1.86194	−	0.604980i
$516$	−8.33717	+	9.20828i	−0.367023	+	0.405372i
$517$	37.9145	−	5.03588i	1.66748	−	0.221478i
$518$			5.47262i			0.240453i
$519$	−14.9628	+	33.3597i	−0.656796	+	1.46433i
$520$	−5.75879	−	4.18401i	−0.252540	−	0.183481i
$521$	12.2166	+	16.8147i	0.535218	+	0.736665i	0.987914	−	0.155000i	$-0.0495377\pi$
$521$	12.2166	+	16.8147i	0.535218	+	0.736665i	−0.452696	+	0.891665i	$0.649538\pi$
$522$	1.57992	+	0.344920i	0.0691510	+	0.0150967i
$523$	14.0346	+	4.56011i	0.613689	+	0.199400i	0.599336	−	0.800497i	$-0.295431\pi$
$523$	14.0346	+	4.56011i	0.613689	+	0.199400i	0.0143530	+	0.999897i	$0.495431\pi$
$524$	−6.44326	+	4.68130i	−0.281475	+	0.204504i
$525$	2.32753	−	0.488040i	0.101582	−	0.0212998i
$526$	−2.85581	−	8.78929i	−0.124519	−	0.383231i
$527$	−9.02849			−0.393287
$528$	−3.48976	−	4.56307i	−0.151872	−	0.198582i
$529$	19.1904			0.834367
$530$	−8.83258	−	27.1839i	−0.383663	−	1.18079i
$531$	−9.47609	−	5.54078i	−0.411227	−	0.240449i
$532$	−0.922404	+	0.670165i	−0.0399913	+	0.0290554i
$533$	−15.6280	−	5.07784i	−0.676923	−	0.219946i
$534$	0.808820	+	1.40986i	0.0350011	+	0.0610107i
$535$	−12.1884	−	16.7759i	−0.526950	−	0.725284i
$536$	0.0629032	+	0.0457019i	0.00271700	+	0.00197402i
$537$	−21.8462	−	9.79866i	−0.942731	−	0.422843i
$538$		−	10.3816i		−	0.447582i
$539$	2.99189	−	1.43128i	0.128870	−	0.0616497i
$540$	−10.5484	−	7.79768i	−0.453929	−	0.335559i
$541$	8.65944	−	2.81362i	0.372298	−	0.120967i	−0.116891	−	0.993145i	$-0.537293\pi$
$541$	8.65944	−	2.81362i	0.372298	−	0.120967i	0.489189	+	0.872178i	$0.337293\pi$
$542$	−3.36785	+	4.63545i	−0.144662	+	0.199110i
$543$	17.9134	+	1.93262i	0.768737	+	0.0829369i
$544$	−0.600505	+	1.84816i	−0.0257464	+	0.0792394i
$545$	−1.00876	+	3.10463i	−0.0432103	+	0.132988i
$546$	−4.85567	−	0.523865i	−0.207803	−	0.0224193i
$547$	7.16764	−	9.86541i	0.306466	−	0.421815i	−0.627809	−	0.778367i	$-0.716048\pi$
$547$	7.16764	−	9.86541i	0.306466	−	0.421815i	0.934275	+	0.356553i	$0.116048\pi$
$548$	7.17933	−	2.33271i	0.306686	−	0.0996483i
$549$	30.8600	−	3.07189i	1.31707	−	0.131105i
$550$	4.10793	−	1.96518i	0.175163	−	0.0837956i
$551$		−	0.614591i		−	0.0261825i
$552$	3.08456	+	1.38352i	0.131288	+	0.0588865i
$553$	13.6919	+	9.94772i	0.582237	+	0.423020i
$554$	5.53747	+	7.62168i	0.235265	+	0.323814i
$555$	11.9075	+	20.7562i	0.505447	+	0.881050i
$556$	−17.5919	−	5.71596i	−0.746063	−	0.242411i
$557$	−11.4718	+	8.33476i	−0.486076	+	0.353155i	−0.803673	−	0.595071i	$-0.797124\pi$
$557$	−11.4718	+	8.33476i	−0.486076	+	0.353155i	0.317597	+	0.948226i	$0.397124\pi$
$558$	7.03536	−	12.0322i	0.297830	−	0.509363i
$559$	6.24895	+	19.2323i	0.264302	+	0.813439i
$560$	2.52448			0.106679
$561$	6.78156	+	8.86729i	0.286318	+	0.374377i
$562$	−2.24599			−0.0947415
$563$	3.87311	+	11.9202i	0.163232	+	0.502377i	0.998902	−	0.0468556i	$-0.0149201\pi$
$563$	3.87311	+	11.9202i	0.163232	+	0.502377i	−0.835669	+	0.549233i	$0.814920\pi$
$564$	19.5490	−	4.09907i	0.823161	−	0.172602i
$565$	−17.4618	+	12.6867i	−0.734623	+	0.533735i
$566$	20.7177	+	6.73160i	0.870831	+	0.282950i
$567$	−8.93980	−	1.03922i	−0.375436	−	0.0436431i
$568$	6.90226	+	9.50014i	0.289612	+	0.398617i
$569$	6.47128	+	4.70166i	0.271290	+	0.197104i	0.715109	−	0.699012i	$-0.246377\pi$
$569$	6.47128	+	4.70166i	0.271290	+	0.197104i	−0.443819	+	0.896116i	$0.646377\pi$
$570$	−2.04025	+	4.54876i	−0.0854568	+	0.190526i
$571$			5.86022i			0.245243i	0.992454	+	0.122621i	$0.0391301\pi$
$571$			5.86022i			0.245243i	−0.992454	+	0.122621i	$0.960870\pi$
$572$	−9.27044	+	1.23132i	−0.387616	+	0.0514839i
$573$	30.0603	−	33.2011i	1.25579	−	1.38700i
$574$	5.54244	−	1.80085i	0.231337	−	0.0751660i
$575$	−1.57519	+	2.16806i	−0.0656900	+	0.0904145i
$576$	−1.99509	−	2.24045i	−0.0831288	−	0.0933520i
$577$	3.52423	−	10.8465i	0.146716	−	0.451544i	−0.850512	−	0.525956i	$-0.823708\pi$
$577$	3.52423	−	10.8465i	0.146716	−	0.451544i	0.997228	+	0.0744115i	$0.0237078\pi$
$578$	−4.08634	+	12.5765i	−0.169969	+	0.523112i
$579$	1.29280	−	11.9829i	0.0537268	−	0.497991i
$580$	−0.799861	+	1.10091i	−0.0332124	+	0.0457130i
$581$	2.52353	−	0.819945i	0.104694	−	0.0340170i
$582$	−0.0654532	−	0.0592613i	−0.00271312	−	0.00245646i
$583$	−33.0216	−	17.8801i	−1.36761	−	0.740520i
$584$		−	7.90883i		−	0.327270i
$585$	−19.5561	+	8.57828i	−0.808544	+	0.354668i
$586$	−3.23645	−	2.35142i	−0.133696	−	0.0971361i
$587$	−24.0085	−	33.0449i	−0.990938	−	1.36391i	−0.930723	−	0.365724i	$-0.880822\pi$
$587$	−24.0085	−	33.0449i	−0.990938	−	1.36391i	−0.0602145	−	0.998185i	$-0.519178\pi$
$588$	1.50238	−	0.861894i	0.0619570	−	0.0355439i
$589$	−5.03791	−	1.63692i	−0.207584	−	0.0674480i
$590$	7.47302	−	5.42947i	0.307659	−	0.223528i
$591$	−0.907423	−	4.32761i	−0.0373264	−	0.178014i
$592$	1.69113	+	5.20477i	0.0695051	+	0.213915i
$593$	−21.7746			−0.894177			−0.447089	−	0.894490i	$-0.647539\pi$
$593$	−21.7746			−0.894177			−0.447089	+	0.894490i	$0.647539\pi$
$594$	−17.1018	+	2.12798i	−0.701696	+	0.0873119i
$595$	−4.90577			−0.201117
$596$	4.89868	+	15.0766i	0.200658	+	0.617562i
$597$	−4.91535	−	23.4419i	−0.201172	−	0.959414i
$598$	4.45242	−	3.23487i	0.182073	−	0.132284i
$599$	−33.1497	−	10.7710i	−1.35446	−	0.440091i	−0.460271	−	0.887778i	$-0.652248\pi$
$599$	−33.1497	−	10.7710i	−1.35446	−	0.440091i	−0.894190	+	0.447687i	$0.852248\pi$
$600$	2.06280	−	1.18340i	0.0842133	−	0.0483121i
$601$	0.813756	+	1.12004i	0.0331938	+	0.0456873i	0.825291	−	0.564707i	$-0.191011\pi$
$601$	0.813756	+	1.12004i	0.0331938	+	0.0456873i	−0.792098	+	0.610395i	$0.791011\pi$
$602$	−5.80204	−	4.21543i	−0.236474	−	0.171808i
$603$	0.213611	−	0.0937003i	0.00869890	−	0.00381577i
$604$			12.2241i			0.497393i
$605$	9.89202	−	25.9477i	0.402168	−	1.05492i
$606$	17.3272	+	15.6881i	0.703870	+	0.637284i
$607$	−7.17914	+	2.33264i	−0.291392	+	0.0946791i	−0.451066	−	0.892491i	$-0.648956\pi$
$607$	−7.17914	+	2.33264i	−0.291392	+	0.0946791i	0.159673	+	0.987170i	$0.448956\pi$
$608$	−0.670165	+	0.922404i	−0.0271788	+	0.0374084i
$609$	−0.100148	+	0.928262i	−0.00405819	+	0.0376151i
$610$	−8.06437	+	24.8196i	−0.326517	+	1.00491i
$611$	10.0483	−	30.9253i	0.406509	−	1.25111i
$612$	3.87701	+	4.35381i	0.156719	+	0.175992i
$613$	−10.1137	+	13.9204i	−0.408490	+	0.562238i	−0.962849	−	0.270039i	$-0.912963\pi$
$613$	−10.1137	+	13.9204i	−0.408490	+	0.562238i	0.554359	+	0.832277i	$0.312963\pi$
$614$	12.2209	−	3.97082i	0.493196	−	0.160249i
$615$	17.1026	−	18.8896i	0.689644	−	0.761702i
$616$	2.40317	−	2.28578i	0.0968264	−	0.0920966i
$617$			30.1180i			1.21251i	0.795272	+	0.606253i	$0.207328\pi$
$617$			30.1180i			1.21251i	−0.795272	+	0.606253i	$0.792672\pi$
$618$	12.4749	−	27.8129i	0.501815	−	1.11880i
$619$	−15.9358	−	11.5781i	−0.640516	−	0.465362i	0.219512	−	0.975610i	$-0.429554\pi$
$619$	−15.9358	−	11.5781i	−0.640516	−	0.465362i	−0.860027	+	0.510248i	$0.829554\pi$
$620$	6.89402	+	9.48880i	0.276870	+	0.381079i
$621$	8.25390	−	5.89332i	0.331217	−	0.236491i
$622$	−11.0050	−	3.57573i	−0.441258	−	0.143374i
$623$	−0.759199	+	0.551590i	−0.0304167	+	0.0220990i
$624$	−4.77990	+	1.00226i	−0.191349	+	0.0401225i
$625$	−9.26430	−	28.5126i	−0.370572	−	1.14050i
$626$	28.1225			1.12400
$627$	2.17643	+	6.17750i	0.0869184	+	0.246706i
$628$	10.1751			0.406029
$629$	−3.28634	−	10.1143i	−0.131035	−	0.403284i
$630$	3.82277	−	6.53786i	0.152303	−	0.260475i
$631$	−21.3831	+	15.5357i	−0.851247	+	0.618467i	−0.925490	−	0.378773i	$-0.876346\pi$
$631$	−21.3831	+	15.5357i	−0.851247	+	0.618467i	0.0742428	+	0.997240i	$0.476346\pi$
$632$	16.0957	+	5.22983i	0.640255	+	0.208031i
$633$	21.6893	+	37.8068i	0.862072	+	1.50269i
$634$	2.32995	+	3.20690i	0.0925340	+	0.127362i
$635$	−43.7764	−	31.8054i	−1.73721	−	1.26216i
$636$	−17.8932	−	8.02566i	−0.709513	−	0.318238i
$637$		−	2.81969i		−	0.111720i
$638$	0.235392	+	1.77224i	0.00931926	+	0.0701636i
$639$	35.0552	−	3.48950i	1.38676	−	0.138043i
$640$	2.40093	−	0.780109i	0.0949050	−	0.0308365i
$641$	−6.50661	+	8.95557i	−0.256995	+	0.353724i	−0.917946	−	0.396706i	$-0.870153\pi$
$641$	−6.50661	+	8.95557i	−0.256995	+	0.353724i	0.660950	+	0.750430i	$0.270153\pi$
$642$	−14.1450	−	1.52606i	−0.558258	−	0.0602289i
$643$	−0.699774	+	2.15368i	−0.0275964	+	0.0849330i	−0.963906	−	0.266242i	$-0.914218\pi$
$643$	−0.699774	+	2.15368i	−0.0275964	+	0.0849330i	0.936310	+	0.351175i	$0.114218\pi$
$644$	−0.603142	+	1.85628i	−0.0237671	+	0.0731477i
$645$	−31.1777	−	3.36367i	−1.22762	−	0.132444i
$646$	1.30232	−	1.79248i	0.0512389	−	0.0705243i
$647$	6.52587	−	2.12038i	0.256558	−	0.0833609i	−0.177914	−	0.984046i	$-0.556935\pi$
$647$	6.52587	−	2.12038i	0.256558	−	0.0833609i	0.434472	+	0.900685i	$0.356935\pi$
$648$	−8.82339	+	1.77419i	−0.346616	+	0.0696970i
$649$	2.19783	−	11.9349i	0.0862723	−	0.468488i
$650$		−	3.87149i		−	0.151852i
$651$	7.34240	+	3.29328i	0.287771	+	0.129074i
$652$	5.18926	+	3.77022i	0.203227	+	0.147653i
$653$	−8.19471	−	11.2790i	−0.320684	−	0.441383i	0.617992	−	0.786184i	$-0.287946\pi$
$653$	−8.19471	−	11.2790i	−0.320684	−	0.441383i	−0.938676	+	0.344801i	$0.887946\pi$
$654$	1.11451	+	1.94272i	0.0435809	+	0.0759663i
$655$	−19.1217	−	6.21303i	−0.747148	−	0.242763i
$656$	4.71469	−	3.42542i	0.184078	−	0.133740i
$657$	−20.4822	−	11.9762i	−0.799085	−	0.467234i
$658$	3.56360	+	10.9676i	0.138924	+	0.427563i
$659$	6.67904			0.260178			0.130089	−	0.991502i	$-0.458474\pi$
$659$	6.67904			0.260178			0.130089	+	0.991502i	$0.458474\pi$
$660$	4.14108	−	13.8982i	0.161191	−	0.540988i
$661$	−28.4650			−1.10716			−0.553580	−	0.832796i	$-0.686739\pi$
$661$	−28.4650			−1.10716			−0.553580	+	0.832796i	$0.686739\pi$
$662$	−10.6396	−	32.7455i	−0.413522	−	1.27269i
$663$	9.28865	−	1.94766i	0.360741	−	0.0756410i
$664$	2.14664	−	1.55963i	0.0833059	−	0.0605253i
$665$	−2.73743	−	0.889444i	−0.106153	−	0.0344911i
$666$	16.0401	+	3.50180i	0.621540	+	0.135692i
$667$	−0.618413	−	0.851173i	−0.0239451	−	0.0329575i
$668$	−5.98476	−	4.34819i	−0.231557	−	0.168236i
$669$	−0.419851	+	0.936060i	−0.0162324	+	0.0361902i
$670$			0.196285i			0.00758316i
$671$	14.7959	+	30.9287i	0.571189	+	1.19399i
$672$	1.16251	−	1.28397i	0.0448446	−	0.0495302i
$673$	19.3493	−	6.28698i	0.745862	−	0.242345i	0.0886623	−	0.996062i	$-0.471741\pi$
$673$	19.3493	−	6.28698i	0.745862	−	0.242345i	0.657200	+	0.753716i	$0.271741\pi$
$674$	−9.02974	+	12.4284i	−0.347812	+	0.478723i
$675$	0.0588963	−	7.13418i	0.00226692	−	0.274595i
$676$	1.56034	−	4.80222i	0.0600129	−	0.184701i
$677$	2.63176	−	8.09974i	0.101147	−	0.311298i	−0.887660	−	0.460500i	$-0.847670\pi$
$677$	2.63176	−	8.09974i	0.101147	−	0.311298i	0.988807	+	0.149201i	$0.0476703\pi$
$678$	−1.58846	+	14.7233i	−0.0610044	+	0.565446i
$679$	0.0299636	−	0.0412414i	0.00114990	−	0.00158270i
$680$	−4.66566	+	1.51596i	−0.178920	+	0.0581346i
$681$	−24.6229	−	22.2935i	−0.943551	−	0.854290i
$682$	15.1543	+	2.79067i	0.580288	+	0.106860i
$683$			39.4066i			1.50785i	0.656959	+	0.753927i	$0.271843\pi$
$683$			39.4066i			1.50785i	−0.656959	+	0.753927i	$0.728157\pi$
$684$	1.37401	+	3.13236i	0.0525365	+	0.119769i
$685$	15.4173	+	11.2013i	0.589064	+	0.427980i
$686$	0.587785	+	0.809017i	0.0224417	+	0.0308884i
$687$	39.2158	−	22.4976i	1.49618	−	0.858337i
$688$	−6.82071	−	2.21618i	−0.260037	−	0.0844912i
$689$	−25.8280	+	18.7652i	−0.983970	+	0.714896i
$690$	1.75141	+	8.35271i	0.0666752	+	0.317982i
$691$	−9.94210	−	30.5986i	−0.378215	−	1.16403i	−0.941284	−	0.337616i	$-0.890379\pi$
$691$	−9.94210	−	30.5986i	−0.378215	−	1.16403i	0.563069	−	0.826410i	$-0.309621\pi$
$692$	−21.1089			−0.802440
$693$	−2.28060	−	9.68498i	−0.0866329	−	0.367902i
$694$	27.3334			1.03756
$695$	−14.4298	−	44.4105i	−0.547355	−	1.68459i
$696$	0.191603	+	0.913777i	0.00726268	+	0.0346366i
$697$	−9.16193	+	6.65653i	−0.347033	+	0.252134i
$698$	−33.4953	−	10.8833i	−1.26781	−	0.411938i
$699$	17.2527	−	9.89768i	0.652559	−	0.374365i
$700$	0.807041	+	1.11080i	0.0305033	+	0.0419842i
$701$	−35.0108	−	25.4369i	−1.32234	−	0.960737i	−0.999900	−	0.0141470i	$-0.995497\pi$
$701$	−35.0108	−	25.4369i	−1.32234	−	0.960737i	−0.322441	−	0.946590i	$-0.604503\pi$
$702$	−4.64245	+	13.8966i	−0.175218	+	0.524493i
$703$		−	6.23963i		−	0.235332i
$704$	1.57921	−	2.91652i	0.0595186	−	0.109921i
$705$	37.3796	+	33.8435i	1.40780	+	1.27462i
$706$	8.29189	−	2.69420i	0.312070	−	0.101398i
$707$	−7.93218	+	10.9177i	−0.298320	+	0.410603i
$708$	0.679804	−	6.30106i	0.0255486	−	0.236808i
$709$	−3.61390	+	11.1224i	−0.135723	+	0.417711i	−0.995702	−	0.0926179i	$-0.970476\pi$
$709$	−3.61390	+	11.1224i	−0.135723	+	0.417711i	0.859979	+	0.510329i	$0.170476\pi$
$710$	−9.16067	+	28.1937i	−0.343794	+	1.05809i
$711$	37.9175	−	33.7651i	1.42202	−	1.26629i
$712$	−0.551590	+	0.759199i	−0.0206717	+	0.0284522i
$713$	−8.62431	+	2.80221i	−0.322983	+	0.104944i
$714$	−2.25907	+	2.49511i	−0.0845435	+	0.0933770i
$715$	−16.2708	−	17.1064i	−0.608492	−	0.639743i
$716$		−	13.8235i		−	0.516609i
$717$	−5.01268	+	11.1758i	−0.187202	+	0.417368i
$718$	−26.4454	−	19.2137i	−0.986932	−	0.717048i
$719$	15.8946	+	21.8771i	0.592770	+	0.815878i	0.995022	−	0.0996506i	$-0.0317725\pi$
$719$	15.8946	+	21.8771i	0.592770	+	0.815878i	−0.402252	+	0.915529i	$0.631773\pi$
$720$	1.61536	−	7.39918i	0.0602007	−	0.275751i
$721$	16.7377	+	5.43841i	0.623345	+	0.202537i
$722$	−14.3196	+	10.4038i	−0.532922	+	0.387190i
$723$	14.1397	−	2.96485i	0.525863	−	0.110264i
$724$	3.21449	+	9.89318i	0.119466	+	0.367677i
$725$	−0.740117			−0.0274872
$726$	−8.64199	−	16.9799i	−0.320734	−	0.630182i
$727$	−15.6906			−0.581932			−0.290966	−	0.956733i	$-0.593977\pi$
$727$	−15.6906			−0.581932			−0.290966	+	0.956733i	$0.593977\pi$
$728$	−0.871332	−	2.68168i	−0.0322937	−	0.0993898i
$729$	−8.76627	+	25.5373i	−0.324677	+	0.945825i
$730$	16.1526	−	11.7356i	0.597835	−	0.434353i
$731$	13.2545	+	4.30665i	0.490236	+	0.159287i
$732$	8.90983	+	15.5308i	0.329317	+	0.574035i
$733$	−19.4506	−	26.7715i	−0.718426	−	0.988829i	−0.999575	−	0.0291644i	$-0.990715\pi$
$733$	−19.4506	−	26.7715i	−0.718426	−	0.988829i	0.281149	−	0.959664i	$-0.409285\pi$
$734$	−18.8187	−	13.6726i	−0.694611	−	0.504665i
$735$	3.98960	+	1.78946i	0.147159	+	0.0660051i
$736$			1.95181i			0.0719446i
$737$	0.177725	+	0.186853i	0.00654659	+	0.00688281i
$738$	−1.73175	−	17.3970i	−0.0637467	−	0.640394i
$739$	−30.9838	+	10.0673i	−1.13976	+	0.370330i	−0.817277	−	0.576245i	$-0.804517\pi$
$739$	−30.9838	+	10.0673i	−1.13976	+	0.370330i	−0.322482	+	0.946576i	$0.604517\pi$
$740$	−8.12057	+	11.1770i	−0.298518	+	0.410875i
$741$	5.53621	+	0.597286i	0.203378	+	0.0219419i
$742$	3.49876	−	10.7681i	0.128444	−	0.395309i
$743$	1.76778	−	5.44066i	0.0648535	−	0.199599i	−0.913379	−	0.407110i	$-0.866536\pi$
$743$	1.76778	−	5.44066i	0.0648535	−	0.199599i	0.978233	+	0.207512i	$0.0665365\pi$
$744$	8.00071	+	0.863175i	0.293320	+	0.0316455i
$745$	−23.5228	+	32.3763i	−0.861808	+	1.18618i
$746$	−5.07985	+	1.65054i	−0.185987	+	0.0604307i
$747$	−0.788485	−	7.92104i	−0.0288491	−	0.289816i
$748$	−3.06883	+	5.66760i	−0.112208	+	0.207228i
$749$		−	8.21400i		−	0.300133i
$750$	−14.4702	−	6.49032i	−0.528377	−	0.236993i
$751$	10.8574	+	7.88833i	0.396191	+	0.287849i	0.767988	−	0.640465i	$-0.221258\pi$
$751$	10.8574	+	7.88833i	0.396191	+	0.287849i	−0.371797	+	0.928314i	$0.621258\pi$
$752$	6.77838	+	9.32963i	0.247182	+	0.340217i
$753$	−15.5089	−	27.0338i	−0.565177	−	0.985166i
$754$	1.44554	+	0.469685i	0.0526435	+	0.0171049i
$755$	−24.9660	+	18.1388i	−0.908605	+	0.660140i
$756$	−1.56485	−	4.95492i	−0.0569130	−	0.180209i
$757$	8.49806	+	26.1543i	0.308867	+	0.950596i	0.978206	+	0.207638i	$0.0665776\pi$
$757$	8.49806	+	26.1543i	0.308867	+	0.950596i	−0.669339	+	0.742958i	$0.733422\pi$
$758$	−26.9640			−0.979378
$759$	9.23015	+	6.36551i	0.335033	+	0.231053i
$760$	−2.87830			−0.104407
$761$	−11.0811	−	34.1040i	−0.401689	−	1.23627i	−0.923629	−	0.383289i	$-0.874791\pi$
$761$	−11.0811	−	34.1040i	−0.401689	−	1.23627i	0.521940	−	0.852982i	$-0.325209\pi$
$762$	−36.3352	+	7.61883i	−1.31628	+	0.276001i
$763$	−1.04614	+	0.760063i	−0.0378727	+	0.0275161i
$764$	24.5926	+	7.99061i	0.889728	+	0.289090i
$765$	−3.13908	+	14.3786i	−0.113494	+	0.519860i
$766$	−2.57719	−	3.54719i	−0.0931175	−	0.128165i
$767$	−8.34689	−	6.06437i	−0.301389	−	0.218972i
$768$	0.708840	−	1.58036i	0.0255781	−	0.0570264i
$769$		−	48.1955i		−	1.73797i	−0.494835	−	0.868987i	$-0.664771\pi$
$769$		−	48.1955i		−	1.73797i	0.494835	−	0.868987i	$-0.335229\pi$
$770$	8.23431	+	1.51635i	0.296744	+	0.0546456i
$771$	−27.4348	+	30.3013i	−0.988040	+	1.09128i
$772$	6.61788	−	2.15028i	0.238183	−	0.0773903i
$773$	−3.25071	+	4.47421i	−0.116920	+	0.160926i	−0.863466	−	0.504408i	$-0.831711\pi$
$773$	−3.25071	+	4.47421i	−0.116920	+	0.160926i	0.746546	+	0.665334i	$0.231711\pi$
$774$	−16.0679	+	14.3082i	−0.577548	+	0.514299i
$775$	−1.97124	+	6.06687i	−0.0708092	+	0.217928i
$776$	0.0157528	−	0.0484822i	0.000565493	−	0.00174041i
$777$	−1.01675	+	9.42417i	−0.0364756	+	0.338090i
$778$	−17.1188	+	23.5620i	−0.613738	+	0.844738i
$779$	−6.31924	+	2.05325i	−0.226410	+	0.0735651i
$780$	−9.13964	−	8.27502i	−0.327252	−	0.296293i
$781$	16.8073	+	35.1333i	0.601413	+	1.25717i
$782$		−	3.79290i		−	0.135634i
$783$	2.65662	+	0.887502i	0.0949400	+	0.0317167i
$784$	0.809017	+	0.587785i	0.0288935	+	0.0209923i
$785$	15.0983	+	20.7811i	0.538882	+	0.741708i
$786$	−11.9654	+	6.86440i	−0.426792	+	0.244845i
$787$	−19.5331	−	6.34668i	−0.696279	−	0.226235i	−0.0605702	−	0.998164i	$-0.519292\pi$
$787$	−19.5331	−	6.34668i	−0.696279	−	0.226235i	−0.635708	+	0.771929i	$0.719292\pi$
$788$	2.06533	−	1.50055i	0.0735742	−	0.0534548i
$789$	−3.28493	−	15.6662i	−0.116947	−	0.557733i
$790$	13.2026	+	40.6335i	0.469728	+	1.44567i
$791$	−8.54984			−0.303997
$792$	−5.16181	−	8.50622i	−0.183417	−	0.302255i
$793$	29.1485			1.03509
$794$	0.518853	+	1.59686i	0.0184134	+	0.0566706i
$795$	−10.1598	−	48.4532i	−0.360330	−	1.71846i
$796$	11.1875	−	8.12820i	0.396531	−	0.288097i
$797$	28.8795	+	9.38351i	1.02296	+	0.332381i	0.772005	−	0.635617i	$-0.219254\pi$
$797$	28.8795	+	9.38351i	1.02296	+	0.332381i	0.250959	+	0.967998i	$0.419254\pi$
$798$	−1.71294	+	0.982692i	−0.0606375	+	0.0347869i
$799$	−13.1722	−	18.1300i	−0.466000	−	0.641395i
$800$	1.11080	+	0.807041i	0.0392726	+	0.0285332i
$801$	1.13090	+	2.57813i	0.0399584	+	0.0910939i
$802$		−	20.7751i		−	0.733596i
$803$	4.75051	−	25.7969i	0.167642	−	0.910352i
$804$	0.0998321	+	0.0903879i	0.00352081	+	0.00318774i
$805$	−4.68615	+	1.52262i	−0.165165	+	0.0536654i
$806$	7.70018	−	10.5984i	0.271227	−	0.373312i
$807$	1.92878	−	17.8777i	0.0678961	−	0.629325i
$808$	−4.17019	+	12.8345i	−0.146707	+	0.451518i
$809$	11.3355	−	34.8870i	0.398534	−	1.22656i	−0.527640	−	0.849468i	$-0.676923\pi$
$809$	11.3355	−	34.8870i	0.398534	−	1.22656i	0.926175	−	0.377095i	$-0.123077\pi$
$810$	−16.7162	−	15.3878i	−0.587346	−	0.540673i
$811$	−10.6215	+	14.6193i	−0.372973	+	0.513353i	−0.953706	−	0.300741i	$-0.902766\pi$
$811$	−10.6215	+	14.6193i	−0.372973	+	0.513353i	0.580733	+	0.814094i	$0.302766\pi$
$812$	−0.512660	+	0.166573i	−0.0179908	+	0.00584558i
$813$	−6.66084	+	7.35680i	−0.233606	+	0.258014i
$814$	2.38981	+	17.9926i	0.0837629	+	0.630641i
$815$			16.1927i			0.567207i
$816$	−1.37747	+	3.07108i	−0.0482211	+	0.107509i
$817$	6.61522	+	4.80624i	0.231437	+	0.168149i
$818$	−10.7723	−	14.8268i	−0.376645	−	0.518408i
$819$	−8.26441	−	1.80425i	−0.288782	−	0.0630456i
$820$	13.9918	+	4.54622i	0.488615	+	0.158761i
$821$	23.9291	−	17.3855i	0.835133	−	0.606760i	−0.0858739	−	0.996306i	$-0.527368\pi$
$821$	23.9291	−	17.3855i	0.835133	−	0.606760i	0.921007	+	0.389546i	$0.127368\pi$
$822$	12.7966	−	2.68322i	0.446333	−	0.0935881i
$823$	−1.08677	−	3.34473i	−0.0378823	−	0.116590i	0.930327	−	0.366731i	$-0.119523\pi$
$823$	−1.08677	−	3.34473i	−0.0378823	−	0.116590i	−0.968209	+	0.250141i	$0.919523\pi$
$824$	17.5991			0.613092
$825$	7.43920	−	2.62095i	0.259000	−	0.0912498i
$826$	3.65903			0.127314
$827$	−0.383259	−	1.17955i	−0.0133272	−	0.0410170i	0.944172	−	0.329454i	$-0.106865\pi$
$827$	−0.383259	−	1.17955i	−0.0133272	−	0.0410170i	−0.957499	+	0.288437i	$0.906865\pi$
$828$	5.05476	+	2.95558i	0.175665	+	0.102713i
$829$	−16.8534	+	12.2447i	−0.585341	+	0.425275i	−0.840646	−	0.541585i	$-0.817824\pi$
$829$	−16.8534	+	12.2447i	−0.585341	+	0.425275i	0.255304	+	0.966861i	$0.417824\pi$
$830$	6.37061	+	2.06994i	0.221127	+	0.0718486i
$831$	8.11983	+	14.1538i	0.281674	+	0.490989i
$832$	−1.65737	−	2.28118i	−0.0574590	−	0.0790856i
$833$	−1.57214	−	1.14223i	−0.0544715	−	0.0395759i
$834$	−29.2323	−	13.1116i	−1.01223	−	0.454017i
$835$		−	18.6751i		−	0.646277i
$836$	−2.73998	+	2.60614i	−0.0947643	+	0.0901351i
$837$	14.3507	−	19.4130i	0.496034	−	0.671012i
$838$	−13.5685	+	4.40867i	−0.468716	+	0.152295i
$839$	4.95633	−	6.82181i	0.171112	−	0.235515i	−0.714845	−	0.699283i	$-0.753503\pi$
$839$	4.95633	−	6.82181i	0.171112	−	0.235515i	0.885957	+	0.463768i	$0.153503\pi$
$840$	4.34731	+	0.469019i	0.149996	+	0.0161827i
$841$	−8.87170	+	27.3043i	−0.305921	+	0.941527i
$842$	0.677843	−	2.08619i	0.0233600	−	0.0718948i
$843$	−3.86773	−	0.417279i	−0.133212	−	0.0143718i
$844$	−14.7914	+	20.3586i	−0.509142	+	0.700774i
$845$	12.1231	−	3.93904i	0.417048	−	0.135507i
$846$	34.4260	−	3.42687i	1.18359	−	0.117818i
$847$	9.21158	−	6.01222i	0.316514	−	0.206582i
$848$		−	11.3222i		−	0.388807i
$849$	34.4265	+	15.4413i	1.18151	+	0.529944i
$850$	−2.15858	−	1.56830i	−0.0740388	−	0.0537923i
$851$	−6.27843	−	8.64152i	−0.215222	−	0.296228i
$852$	10.1211	+	17.6421i	0.346742	+	0.604410i
$853$	30.0987	+	9.77967i	1.03056	+	0.334850i	0.775012	−	0.631946i	$-0.217744\pi$
$853$	30.0987	+	9.77967i	1.03056	+	0.334850i	0.255549	+	0.966796i	$0.417744\pi$
$854$	−8.36321	+	6.07623i	−0.286183	+	0.207924i
$855$	−4.35854	+	7.45417i	−0.149059	+	0.254927i
$856$	−2.53827	−	7.81198i	−0.0867562	−	0.267008i
$857$	−27.5120			−0.939793			−0.469896	−	0.882722i	$-0.655709\pi$
$857$	−27.5120			−0.939793			−0.469896	+	0.882722i	$0.655709\pi$
$858$	−16.1930	+	0.398063i	−0.552820	+	0.0135896i
$859$	12.8377			0.438017			0.219008	−	0.975723i	$-0.429718\pi$
$859$	12.8377			0.438017			0.219008	+	0.975723i	$0.429718\pi$
$860$	−5.59472	−	17.2188i	−0.190778	−	0.587155i
$861$	9.87899	−	2.07145i	0.336675	−	0.0705947i
$862$	−10.6649	+	7.74847i	−0.363247	+	0.263914i
$863$	44.1823	+	14.3557i	1.50398	+	0.488674i	0.941177	−	0.337915i	$-0.109722\pi$
$863$	44.1823	+	14.3557i	1.50398	+	0.488674i	0.562807	+	0.826589i	$0.309722\pi$
$864$	−3.01941	−	4.22885i	−0.102723	−	0.143868i
$865$	−31.3226	−	43.1118i	−1.06500	−	1.46585i
$866$	27.4189	+	19.9210i	0.931733	+	0.676944i
$867$	−9.37348	+	20.8982i	−0.318340	+	0.709741i
$868$			4.64602i			0.157696i
$869$	49.3595	+	26.7266i	1.67440	+	0.906637i
$870$	−1.58194	+	1.74723i	−0.0536329	+	0.0592367i
$871$	0.208508	−	0.0677484i	0.00706502	−	0.00229557i
$872$	−0.760063	+	1.04614i	−0.0257390	+	0.0354267i
$873$	−0.101704	−	0.114212i	−0.00344216	−	0.00386548i
$874$	0.687674	−	2.11644i	0.0232609	−	0.0715898i
$875$	2.82944	−	8.70811i	0.0956524	−	0.294388i
$876$	1.46937	−	13.6195i	0.0496453	−	0.460159i
$877$	−12.5903	+	17.3291i	−0.425145	+	0.585162i	−0.966830	−	0.255420i	$-0.917786\pi$
$877$	−12.5903	+	17.3291i	−0.425145	+	0.585162i	0.541685	+	0.840581i	$0.317786\pi$
$878$	−30.4069	+	9.87979i	−1.02618	+	0.333427i
$879$	−5.13648	−	4.65057i	−0.173249	−	0.156860i
$880$	8.29988	−	1.10241i	0.279789	−	0.0371621i
$881$			5.37371i			0.181045i	0.995894	+	0.0905225i	$0.0288537\pi$
$881$			5.37371i			0.181045i	−0.995894	+	0.0905225i	$0.971146\pi$
$882$	2.74731	−	1.20511i	0.0925068	−	0.0405781i
$883$	−34.4847	−	25.0546i	−1.16050	−	0.843154i	−0.170660	−	0.985330i	$-0.554590\pi$
$883$	−34.4847	−	25.0546i	−1.16050	−	0.843154i	−0.989841	+	0.142176i	$0.954590\pi$
$884$	3.22073	+	4.43295i	0.108325	+	0.149096i
$885$	13.8777	−	7.96146i	0.466494	−	0.267622i
$886$	−7.66477	−	2.49043i	−0.257503	−	0.0836678i
$887$	24.2319	−	17.6055i	0.813629	−	0.591136i	−0.101252	−	0.994861i	$-0.532285\pi$
$887$	24.2319	−	17.6055i	0.813629	−	0.591136i	0.914880	+	0.403725i	$0.132285\pi$
$888$	1.94524	+	9.27711i	0.0652781	+	0.311319i
$889$	−6.62357	−	20.3852i	−0.222147	−	0.683699i
$890$	−2.36903			−0.0794101
$891$	−29.8456	+	0.487188i	−0.999867	+	0.0163214i
$892$	−0.592307			−0.0198319
$893$	−4.06306	−	12.5048i	−0.135965	−	0.418457i
$894$	5.63477	+	26.8729i	0.188455	+	0.898764i
$895$	28.2324	−	20.5121i	0.943707	−	0.685643i
$896$	0.951057	+	0.309017i	0.0317726	+	0.0103235i
$897$	8.26832	−	4.74343i	0.276071	−	0.158379i
$898$	−11.9608	−	16.4626i	−0.399136	−	0.549363i
$899$	−2.02610	−	1.47205i	−0.0675743	−	0.0490956i
$900$	3.77211	−	1.65464i	0.125737	−	0.0551546i
$901$			22.0022i			0.733000i
$902$	17.4358	−	8.34105i	0.580548	−	0.277727i
$903$	−9.20828	−	8.33717i	−0.306432	−	0.277444i
$904$	−8.13139	+	2.64205i	−0.270446	+	0.0878732i
$905$	−15.4355	+	21.2452i	−0.513094	+	0.706213i
$906$	−2.27110	+	21.0507i	−0.0754522	+	0.699362i
$907$	−6.42683	+	19.7798i	−0.213399	+	0.656776i	0.785864	+	0.618400i	$0.212219\pi$
$907$	−6.42683	+	19.7798i	−0.213399	+	0.656776i	−0.999263	+	0.0383765i	$0.987781\pi$
$908$	5.92606	−	18.2385i	0.196663	−	0.605268i
$909$	26.9238	+	30.2349i	0.893007	+	1.00283i
$910$	4.18401	−	5.75879i	0.138699	−	0.190902i
$911$	53.4617	−	17.3708i	1.77126	−	0.575519i	0.773000	−	0.634406i	$-0.218755\pi$
$911$	53.4617	−	17.3708i	1.77126	−	0.575519i	0.998265	+	0.0588872i	$0.0187552\pi$
$912$	−1.32544	+	1.46392i	−0.0438895	+	0.0484754i
$913$	7.93868	−	3.79776i	0.262732	−	0.125688i
$914$			38.4753i			1.27265i
$915$	−18.4985	+	41.2425i	−0.611541	+	1.36343i
$916$	21.1174	+	15.3427i	0.697737	+	0.506936i
$917$	−4.68130	−	6.44326i	−0.154590	−	0.212775i
$918$	5.86755	+	8.21781i	0.193658	+	0.271228i
$919$	45.3945	+	14.7496i	1.49743	+	0.486543i	0.939266	−	0.343189i	$-0.111507\pi$
$919$	45.3945	+	14.7496i	1.49743	+	0.486543i	0.558161	+	0.829733i	$0.311507\pi$
$920$	−3.98628	+	2.89620i	−0.131424	+	0.0954849i
$921$	21.7829	−	4.56748i	0.717770	−	0.150504i
$922$	4.16301	+	12.8124i	0.137101	+	0.421955i
$923$	33.1111			1.08987
$924$	4.56307	−	3.48976i	0.150114	−	0.114805i
$925$	−7.51402			−0.247060
$926$	−2.88816	−	8.88885i	−0.0949110	−	0.292106i
$927$	26.6498	−	45.5777i	0.875295	−	1.49697i
$928$	−0.436095	+	0.316841i	−0.0143155	+	0.0104008i
$929$	14.6230	+	4.75131i	0.479766	+	0.155886i	0.538909	−	0.842364i	$-0.318837\pi$
$929$	14.6230	+	4.75131i	0.479766	+	0.155886i	−0.0591426	+	0.998250i	$0.518837\pi$
$930$	10.1090	+	17.6211i	0.331487	+	0.577818i
$931$	−0.670165	−	0.922404i	−0.0219638	−	0.0302306i
$932$	9.29045	+	6.74991i	0.304319	+	0.221101i
$933$	−18.2868	−	8.20219i	−0.598684	−	0.268528i
$934$		−	28.3527i		−	0.927728i
$935$	−16.1289	+	2.14228i	−0.527473	+	0.0700599i
$936$	−8.41747	+	0.837900i	−0.275134	+	0.0273876i
$937$	12.6613	−	4.11389i	0.413625	−	0.134395i	−0.0948095	−	0.995495i	$-0.530224\pi$
$937$	12.6613	−	4.11389i	0.413625	−	0.134395i	0.508435	+	0.861100i	$0.330224\pi$
$938$	−0.0457019	+	0.0629032i	−0.00149222	+	0.00205386i
$939$	48.4286	+	5.22483i	1.58041	+	0.170506i
$940$	−8.99626	+	27.6876i	−0.293426	+	0.903071i
$941$	−15.3832	+	47.3448i	−0.501479	+	1.54340i	0.305130	+	0.952311i	$0.401300\pi$
$941$	−15.3832	+	47.3448i	−0.501479	+	1.54340i	−0.806610	+	0.591085i	$0.798700\pi$
$942$	17.5221	+	1.89041i	0.570899	+	0.0615928i
$943$	−6.68576	+	9.20216i	−0.217718	+	0.299664i
$944$	3.47994	−	1.13070i	0.113263	−	0.0368012i
$945$	7.79768	−	10.5484i	0.253659	−	0.343138i
$946$	−20.9165	−	11.3256i	−0.680054	−	0.368228i
$947$			36.7775i			1.19511i	0.801828	+	0.597555i	$0.203861\pi$
$947$			36.7775i			1.19511i	−0.801828	+	0.597555i	$0.796139\pi$
$948$	26.7462	+	11.9965i	0.868675	+	0.389627i
$949$	−18.0414	−	13.1079i	−0.585650	−	0.425500i
$950$	−0.920151	−	1.26648i	−0.0298536	−	0.0410900i
$951$	3.41650	+	5.95533i	0.110788	+	0.193115i
$952$	−1.84816	−	0.600505i	−0.0598993	−	0.0194625i
$953$	14.1778	−	10.3008i	0.459264	−	0.333675i	−0.333979	−	0.942581i	$-0.608391\pi$
$953$	14.1778	−	10.3008i	0.459264	−	0.333675i	0.793242	+	0.608906i	$0.208391\pi$
$954$	−29.3221	−	17.1450i	−0.949339	−	0.555090i
$955$	20.1722	+	62.0836i	0.652756	+	2.00898i
$956$	−7.07167			−0.228714
$957$	0.0760980	+	3.09563i	0.00245990	+	0.100067i
$958$	−2.11813			−0.0684336
$959$	2.33271	+	7.17933i	0.0753270	+	0.231833i
$960$	4.27947	−	0.897328i	0.138119	−	0.0289612i
$961$	7.61649	−	5.53371i	0.245693	−	0.178507i
$962$	14.6758	+	4.76847i	0.473168	+	0.153742i
$963$	−24.0750	−	5.25594i	−0.775805	−	0.169370i
$964$	4.90279	+	6.74811i	0.157908	+	0.217342i
$965$	14.2116	+	10.3253i	0.457488	+	0.332384i
$966$	−1.38352	+	3.08456i	−0.0445140	+	0.0992442i
$967$		−	22.8273i		−	0.734075i	−0.930206	−	0.367037i	$-0.880372\pi$
$967$		−	22.8273i		−	0.734075i	0.930206	−	0.367037i	$-0.119628\pi$
$968$	6.90286	−	8.56449i	0.221866	−	0.275273i
$969$	2.57568	−	2.84481i	0.0827429	−	0.0913883i
$970$	0.122392	−	0.0397677i	0.00392979	−	0.00127686i
$971$	28.5927	−	39.3545i	0.917584	−	1.26295i	−0.0469259	−	0.998898i	$-0.514942\pi$
$971$	28.5927	−	39.3545i	0.917584	−	1.26295i	0.964510	−	0.264047i	$-0.0850575\pi$
$972$	−15.5240	+	1.41599i	−0.497933	+	0.0454178i
$973$	5.71596	−	17.5919i	0.183245	−	0.563971i
$974$	−10.1447	+	31.2222i	−0.325057	+	1.00042i
$975$	0.719277	−	6.66693i	0.0230353	−	0.213513i
$976$	−6.07623	+	8.36321i	−0.194495	+	0.267700i
$977$	14.5300	−	4.72108i	0.464856	−	0.151041i	−0.0672188	−	0.997738i	$-0.521413\pi$
$977$	14.5300	−	4.72108i	0.464856	−	0.151041i	0.532075	+	0.846697i	$0.321413\pi$
$978$	8.23574	+	7.45663i	0.263350	+	0.238437i
$979$	−2.25519	+	2.14502i	−0.0720760	+	0.0685552i
$980$			2.52448i			0.0806417i
$981$	1.55832	+	3.55254i	0.0497533	+	0.113424i
$982$	−11.5525	−	8.39336i	−0.368654	−	0.267843i
$983$	−11.2823	−	15.5287i	−0.359849	−	0.495290i	0.590258	−	0.807215i	$-0.299026\pi$
$983$	−11.2823	−	15.5287i	−0.359849	−	0.495290i	−0.950107	+	0.311925i	$0.899026\pi$
$984$	8.75536	−	5.02284i	0.279111	−	0.160122i
$985$	6.12929	+	1.99153i	0.195295	+	0.0634553i
$986$	0.847451	−	0.615709i	0.0269883	−	0.0196082i
$987$	4.09907	+	19.5490i	0.130475	+	0.622251i
$988$	0.993452	+	3.05753i	0.0316059	+	0.0972731i
$989$	13.9978			0.445105
$990$	9.71331	−	23.1642i	0.308709	−	0.736207i
$991$	54.9714			1.74622			0.873112	−	0.487520i	$-0.162098\pi$
$991$	54.9714			1.74622			0.873112	+	0.487520i	$0.162098\pi$
$992$	1.43570	+	4.41863i	0.0455835	+	0.140292i
$993$	−12.2384	−	58.3663i	−0.388373	−	1.85220i
$994$	−9.50014	+	6.90226i	−0.301326	+	0.218926i
$995$	33.2013	+	10.7878i	1.05255	+	0.341995i
$996$	3.98640	−	2.28695i	0.126314	−	0.0724647i
$997$	23.4274	+	32.2450i	0.741952	+	1.02121i	0.998504	+	0.0546787i	$0.0174135\pi$
$997$	23.4274	+	32.2450i	0.741952	+	1.02121i	−0.256552	+	0.966530i	$0.582587\pi$
$998$	−27.3474	−	19.8690i	−0.865666	−	0.628943i
$999$	26.9713	+	9.01035i	0.853335	+	0.285075i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	462.2.w.a.281.7	✓	48
3.2	odd	2		462.2.w.b.281.12	yes	48
11.2	odd	10		462.2.w.b.365.12	yes	48
33.2	even	10	inner	462.2.w.a.365.7	yes	48

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
462.2.w.a.281.7	✓	48	1.1	even	1	trivial
462.2.w.a.365.7	yes	48	33.2	even	10	inner
462.2.w.b.281.12	yes	48	3.2	odd	2
462.2.w.b.365.12	yes	48	11.2	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)

\(f(q)\)	\(=\)	\(q+(0.309017 + 0.951057i) q^{2} +(0.355450 + 1.69519i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-2.40093 - 0.780109i) q^{5} +(-1.50238 + 0.861894i) q^{6} +(-0.587785 - 0.809017i) q^{7} +(-0.809017 - 0.587785i) q^{8} +(-2.74731 + 1.20511i) q^{9} +O(q^{10})\)	\(q+(0.309017 + 0.951057i) q^{2} +(0.355450 + 1.69519i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-2.40093 - 0.780109i) q^{5} +(-1.50238 + 0.861894i) q^{6} +(-0.587785 - 0.809017i) q^{7} +(-0.809017 - 0.587785i) q^{8} +(-2.74731 + 1.20511i) q^{9} -2.52448i q^{10} +(-2.28578 - 2.40317i) q^{11} +(-1.28397 - 1.16251i) q^{12} +(-2.68168 + 0.871332i) q^{13} +(0.587785 - 0.809017i) q^{14} +(0.469019 - 4.34731i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-0.600505 + 1.84816i) q^{17} +(-1.99509 - 2.24045i) q^{18} +(-0.670165 + 0.922404i) q^{19} +(2.40093 - 0.780109i) q^{20} +(1.16251 - 1.28397i) q^{21} +(1.57921 - 2.91652i) q^{22} +1.95181i q^{23} +(0.708840 - 1.58036i) q^{24} +(1.11080 + 0.807041i) q^{25} +(-1.65737 - 2.28118i) q^{26} +(-3.01941 - 4.22885i) q^{27} +(0.951057 + 0.309017i) q^{28} +(-0.436095 + 0.316841i) q^{29} +(4.27947 - 0.897328i) q^{30} +(1.43570 + 4.41863i) q^{31} +1.00000 q^{32} +(3.26134 - 4.72902i) q^{33} -1.94327 q^{34} +(0.780109 + 2.40093i) q^{35} +(1.51428 - 2.58978i) q^{36} +(-4.42744 + 3.21673i) q^{37} +(-1.08435 - 0.352327i) q^{38} +(-2.43027 - 4.23624i) q^{39} +(1.48385 + 2.04235i) q^{40} +(4.71469 + 3.42542i) q^{41} +(1.58036 + 0.708840i) q^{42} -7.17172i q^{43} +(3.26178 + 0.600659i) q^{44} +(7.53621 - 0.750177i) q^{45} +(-1.85628 + 0.603142i) q^{46} +(-6.77838 + 9.32963i) q^{47} +(1.72206 + 0.185788i) q^{48} +(-0.309017 + 0.951057i) q^{49} +(-0.424287 + 1.30582i) q^{50} +(-3.34643 - 0.361037i) q^{51} +(1.65737 - 2.28118i) q^{52} +(10.7681 - 3.49876i) q^{53} +(3.08882 - 4.17842i) q^{54} +(3.61325 + 7.55299i) q^{55} +1.00000i q^{56} +(-1.80186 - 0.808187i) q^{57} +(-0.436095 - 0.316841i) q^{58} +(2.15072 + 2.96022i) q^{59} +(2.17584 + 3.79273i) q^{60} +(-9.83154 - 3.19446i) q^{61} +(-3.75871 + 2.73086i) q^{62} +(2.58978 + 1.51428i) q^{63} +(0.309017 + 0.951057i) q^{64} +7.11826 q^{65} +(5.50538 + 1.64037i) q^{66} -0.0777526 q^{67} +(-0.600505 - 1.84816i) q^{68} +(-3.30868 + 0.693771i) q^{69} +(-2.04235 + 1.48385i) q^{70} +(-11.1681 - 3.62873i) q^{71} +(2.93097 + 0.639875i) q^{72} +(4.64870 + 6.39838i) q^{73} +(-4.42744 - 3.21673i) q^{74} +(-0.973252 + 2.16987i) q^{75} -1.14015i q^{76} +(-0.600659 + 3.26178i) q^{77} +(3.27791 - 3.62040i) q^{78} +(-16.0957 + 5.22983i) q^{79} +(-1.48385 + 2.04235i) q^{80} +(6.09543 - 6.62161i) q^{81} +(-1.80085 + 5.54244i) q^{82} +(-0.819945 + 2.52353i) q^{83} +(-0.185788 + 1.72206i) q^{84} +(2.88354 - 3.96885i) q^{85} +(6.82071 - 2.21618i) q^{86} +(-0.692115 - 0.626640i) q^{87} +(0.436685 + 3.28775i) q^{88} -0.938421i q^{89} +(3.04228 + 6.93554i) q^{90} +(2.28118 + 1.65737i) q^{91} +(-1.14724 - 1.57905i) q^{92} +(-6.98007 + 4.00438i) q^{93} +(-10.9676 - 3.56360i) q^{94} +(2.32859 - 1.69182i) q^{95} +(0.355450 + 1.69519i) q^{96} +(0.0157528 + 0.0484822i) q^{97} -1.00000 q^{98} +(9.17582 + 3.84764i) 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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