LMFDB - Embedded newform 462.2.w.a.239.12

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			239.12
Character	$\chi$	$=$	462.239
Dual form			462.2.w.a.29.12

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.809017 + 0.587785i) q^{2} +(1.72744 + 0.126348i) q^{3} +(0.309017 - 0.951057i) q^{4} +(2.46323 - 3.39035i) q^{5} +(-1.47179 + 0.913144i) q^{6} +(-0.951057 - 0.309017i) q^{7} +(0.309017 + 0.951057i) q^{8} +(2.96807 + 0.436515i) q^{9} +O(q^{10})$	\(q+(-0.809017 + 0.587785i) q^{2} +(1.72744 + 0.126348i) q^{3} +(0.309017 - 0.951057i) q^{4} +(2.46323 - 3.39035i) q^{5} +(-1.47179 + 0.913144i) q^{6} +(-0.951057 - 0.309017i) q^{7} +(0.309017 + 0.951057i) q^{8} +(2.96807 + 0.436515i) q^{9} +4.19070i q^{10} +(-0.214333 + 3.30969i) q^{11} +(0.653971 - 1.60385i) q^{12} +(-2.42598 - 3.33908i) q^{13} +(0.951057 - 0.309017i) q^{14} +(4.68344 - 5.54538i) q^{15} +(-0.809017 - 0.587785i) q^{16} +(3.28471 + 2.38648i) q^{17} +(-2.65780 + 1.39144i) q^{18} +(-1.43242 + 0.465420i) q^{19} +(-2.46323 - 3.39035i) q^{20} +(-1.60385 - 0.653971i) q^{21} +(-1.77199 - 2.80358i) q^{22} -2.69262i q^{23} +(0.413643 + 1.68193i) q^{24} +(-3.88186 - 11.9471i) q^{25} +(3.92532 + 1.27541i) q^{26} +(5.07200 + 1.12906i) q^{27} +(-0.587785 + 0.809017i) q^{28} +(1.71459 - 5.27697i) q^{29} +(-0.529485 + 7.23916i) q^{30} +(-3.24560 + 2.35807i) q^{31} +1.00000 q^{32} +(-0.788419 + 5.69020i) q^{33} -4.06013 q^{34} +(-3.39035 + 2.46323i) q^{35} +(1.33234 - 2.68791i) q^{36} +(-0.472088 + 1.45294i) q^{37} +(0.885282 - 1.21849i) q^{38} +(-3.76884 - 6.07456i) q^{39} +(3.98559 + 1.29500i) q^{40} +(1.67168 + 5.14490i) q^{41} +(1.68193 - 0.413643i) q^{42} +10.5519i q^{43} +(3.08147 + 1.22659i) q^{44} +(8.79098 - 8.98756i) q^{45} +(1.58268 + 2.17837i) q^{46} +(-2.85814 + 0.928667i) q^{47} +(-1.32326 - 1.11758i) q^{48} +(0.809017 + 0.587785i) q^{49} +(10.1628 + 7.38373i) q^{50} +(5.37261 + 4.53752i) q^{51} +(-3.92532 + 1.27541i) q^{52} +(0.246554 + 0.339353i) q^{53} +(-4.76698 + 2.06782i) q^{54} +(10.6930 + 8.87920i) q^{55} -1.00000i q^{56} +(-2.53321 + 0.623002i) q^{57} +(1.71459 + 5.27697i) q^{58} +(14.2941 + 4.64445i) q^{59} +(-3.82671 - 6.16783i) q^{60} +(1.17050 - 1.61106i) q^{61} +(1.23971 - 3.81544i) q^{62} +(-2.68791 - 1.33234i) q^{63} +(-0.809017 + 0.587785i) q^{64} -17.2964 q^{65} +(-2.70677 - 5.06689i) q^{66} -12.4111 q^{67} +(3.28471 - 2.38648i) q^{68} +(0.340206 - 4.65133i) q^{69} +(1.29500 - 3.98559i) q^{70} +(0.0399980 - 0.0550525i) q^{71} +(0.502035 + 2.95770i) q^{72} +(1.18231 + 0.384156i) q^{73} +(-0.472088 - 1.45294i) q^{74} +(-5.19617 - 21.1284i) q^{75} +1.50613i q^{76} +(1.22659 - 3.08147i) q^{77} +(6.61959 + 2.69915i) q^{78} +(-4.09697 - 5.63899i) q^{79} +(-3.98559 + 1.29500i) q^{80} +(8.61891 + 2.59122i) q^{81} +(-4.37652 - 3.17973i) q^{82} +(-1.25887 - 0.914625i) q^{83} +(-1.11758 + 1.32326i) q^{84} +(16.1820 - 5.25786i) q^{85} +(-6.20228 - 8.53670i) q^{86} +(3.62858 - 8.89900i) q^{87} +(-3.21394 + 0.818908i) q^{88} +14.2712i q^{89} +(-1.82930 + 12.4383i) q^{90} +(1.27541 + 3.92532i) q^{91} +(-2.56083 - 0.832065i) q^{92} +(-5.90451 + 3.66334i) q^{93} +(1.76643 - 2.43128i) q^{94} +(-1.95044 + 6.00283i) q^{95} +(1.72744 + 0.126348i) q^{96} +(2.16169 - 1.57056i) q^{97} -1.00000 q^{98} +(-2.08089 + 9.72985i) 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 $\left(\mathbb{Z}/462\mathbb{Z}\right)^\times$.

$n$	$155$	$199$	$211$
$\chi(n)$	$-1$	$1$	$e\left(\frac{3}{10}\right)$

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
$3$	1.72744	+	0.126348i	0.997336	+	0.0729468i
$3$	1.72744	+	0.126348i	0.997336	+	0.0729468i
$4$	0.309017	−	0.951057i	0.154508	−	0.475528i
$5$	2.46323	−	3.39035i	1.10159	−	1.51621i	0.268331	−	0.963327i	$-0.413528\pi$
$5$	2.46323	−	3.39035i	1.10159	−	1.51621i	0.833260	−	0.552882i	$-0.186472\pi$
$6$	−1.47179	+	0.913144i	−0.600856	+	0.372790i
$7$	−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
$9$	2.96807	+	0.436515i	0.989358	+	0.145505i
$10$			4.19070i			1.32522i
$11$	−0.214333	+	3.30969i	−0.0646239	+	0.997910i
$11$	−0.214333	+	3.30969i	−0.0646239	+	0.997910i
$12$	0.653971	−	1.60385i	0.188785	−	0.462990i
$13$	−2.42598	−	3.33908i	−0.672846	−	0.926093i	0.326975	−	0.945033i	$-0.393971\pi$
$13$	−2.42598	−	3.33908i	−0.672846	−	0.926093i	−0.999821	+	0.0189400i	$0.993971\pi$
$14$	0.951057	−	0.309017i	0.254181	−	0.0825883i
$15$	4.68344	−	5.54538i	1.20926	−	1.43181i
$16$	−0.809017	−	0.587785i	−0.202254	−	0.146946i
$17$	3.28471	+	2.38648i	0.796660	+	0.578807i	0.909932	−	0.414757i	$-0.136133\pi$
$17$	3.28471	+	2.38648i	0.796660	+	0.578807i	−0.113272	+	0.993564i	$0.536133\pi$
$18$	−2.65780	+	1.39144i	−0.626449	+	0.327966i
$19$	−1.43242	+	0.465420i	−0.328619	+	0.106775i	−0.468680	−	0.883368i	$-0.655270\pi$
$19$	−1.43242	+	0.465420i	−0.328619	+	0.106775i	0.140061	+	0.990143i	$0.455270\pi$
$20$	−2.46323	−	3.39035i	−0.550795	−	0.758104i
$21$	−1.60385	−	0.653971i	−0.349988	−	0.142708i
$22$	−1.77199	−	2.80358i	−0.377789	−	0.597725i
$23$		−	2.69262i		−	0.561450i	−0.959788	−	0.280725i	$-0.909425\pi$
$23$		−	2.69262i		−	0.561450i	0.959788	−	0.280725i	$-0.0905748\pi$
$24$	0.413643	+	1.68193i	0.0844346	+	0.343323i
$25$	−3.88186	−	11.9471i	−0.776371	−	2.38943i
$26$	3.92532	+	1.27541i	0.769819	+	0.250129i
$27$	5.07200	+	1.12906i	0.976108	+	0.217288i
$28$	−0.587785	+	0.809017i	−0.111081	+	0.152890i
$29$	1.71459	−	5.27697i	0.318392	−	0.979909i	−0.655944	−	0.754809i	$-0.727729\pi$
$29$	1.71459	−	5.27697i	0.318392	−	0.979909i	0.974336	−	0.225099i	$-0.0722707\pi$
$30$	−0.529485	+	7.23916i	−0.0966702	+	1.32168i
$31$	−3.24560	+	2.35807i	−0.582928	+	0.423522i	−0.839778	−	0.542929i	$-0.817315\pi$
$31$	−3.24560	+	2.35807i	−0.582928	+	0.423522i	0.256851	+	0.966451i	$0.417315\pi$
$32$	1.00000			0.176777
$33$	−0.788419	+	5.69020i	−0.137246	+	0.990537i
$34$	−4.06013			−0.696306
$35$	−3.39035	+	2.46323i	−0.573073	+	0.416362i
$36$	1.33234	−	2.68791i	0.222056	−	0.447986i
$37$	−0.472088	+	1.45294i	−0.0776108	+	0.238862i	−0.982333	−	0.187140i	$-0.940078\pi$
$37$	−0.472088	+	1.45294i	−0.0776108	+	0.238862i	0.904722	+	0.426002i	$0.140078\pi$
$38$	0.885282	−	1.21849i	0.143612	−	0.197665i
$39$	−3.76884	−	6.07456i	−0.603498	−	0.972708i
$40$	3.98559	+	1.29500i	0.630177	+	0.204757i
$41$	1.67168	+	5.14490i	0.261073	+	0.803499i	0.992572	+	0.121657i	$0.0388208\pi$
$41$	1.67168	+	5.14490i	0.261073	+	0.803499i	−0.731500	+	0.681842i	$0.761179\pi$
$42$	1.68193	−	0.413643i	0.259528	−	0.0638266i
$43$			10.5519i			1.60916i	0.593847	+	0.804578i	$0.297608\pi$
$43$			10.5519i			1.60916i	−0.593847	+	0.804578i	$0.702392\pi$
$44$	3.08147	+	1.22659i	0.464549	+	0.184916i
$45$	8.79098	−	8.98756i	1.31048	−	1.33979i
$46$	1.58268	+	2.17837i	0.233354	+	0.321184i
$47$	−2.85814	+	0.928667i	−0.416903	+	0.135460i	−0.509955	−	0.860201i	$-0.670338\pi$
$47$	−2.85814	+	0.928667i	−0.416903	+	0.135460i	0.0930516	+	0.995661i	$0.470338\pi$
$48$	−1.32326	−	1.11758i	−0.190996	−	0.161309i
$49$	0.809017	+	0.587785i	0.115574	+	0.0839693i
$50$	10.1628	+	7.38373i	1.43724	+	1.04422i
$51$	5.37261	+	4.53752i	0.752316	+	0.635379i
$52$	−3.92532	+	1.27541i	−0.544344	+	0.176868i
$53$	0.246554	+	0.339353i	0.0338669	+	0.0466137i	0.825615	−	0.564234i	$-0.190829\pi$
$53$	0.246554	+	0.339353i	0.0338669	+	0.0466137i	−0.791748	+	0.610848i	$0.790829\pi$
$54$	−4.76698	+	2.06782i	−0.648704	+	0.281395i
$55$	10.6930	+	8.87920i	1.44185	+	1.19727i
$56$		−	1.00000i		−	0.133631i
$57$	−2.53321	+	0.623002i	−0.335532	+	0.0825186i
$58$	1.71459	+	5.27697i	0.225137	+	0.692900i
$59$	14.2941	+	4.64445i	1.86094	+	0.604656i	0.994417	+	0.105518i	$0.0336499\pi$
$59$	14.2941	+	4.64445i	1.86094	+	0.604656i	0.866522	+	0.499138i	$0.166350\pi$
$60$	−3.82671	−	6.16783i	−0.494026	−	0.796263i
$61$	1.17050	−	1.61106i	0.149868	−	0.206275i	−0.727482	−	0.686127i	$-0.759309\pi$
$61$	1.17050	−	1.61106i	0.149868	−	0.206275i	0.877350	+	0.479852i	$0.159309\pi$
$62$	1.23971	−	3.81544i	0.157443	−	0.484561i
$63$	−2.68791	−	1.33234i	−0.338645	−	0.167858i
$64$	−0.809017	+	0.587785i	−0.101127	+	0.0734732i
$65$	−17.2964			−2.14535
$66$	−2.70677	−	5.06689i	−0.333181	−	0.623691i
$67$	−12.4111			−1.51626			−0.758129	−	0.652104i	$-0.773886\pi$
$67$	−12.4111			−1.51626			−0.758129	+	0.652104i	$0.773886\pi$
$68$	3.28471	−	2.38648i	0.398330	−	0.289404i
$69$	0.340206	−	4.65133i	0.0409560	−	0.559954i
$70$	1.29500	−	3.98559i	0.154782	−	0.476369i
$71$	0.0399980	−	0.0550525i	0.00474689	−	0.00653353i	−0.806637	−	0.591047i	$-0.798715\pi$
$71$	0.0399980	−	0.0550525i	0.00474689	−	0.00653353i	0.811384	+	0.584514i	$0.198715\pi$
$72$	0.502035	+	2.95770i	0.0591653	+	0.348568i
$73$	1.18231	+	0.384156i	0.138379	+	0.0449621i	0.377388	−	0.926055i	$-0.376822\pi$
$73$	1.18231	+	0.384156i	0.138379	+	0.0449621i	−0.239009	+	0.971017i	$0.576822\pi$
$74$	−0.472088	−	1.45294i	−0.0548791	−	0.168901i
$75$	−5.19617	−	21.1284i	−0.600002	−	2.43969i
$76$			1.50613i			0.172765i
$77$	1.22659	−	3.08147i	0.139783	−	0.351166i
$78$	6.61959	+	2.69915i	0.749522	+	0.305619i
$79$	−4.09697	−	5.63899i	−0.460945	−	0.634436i	0.513760	−	0.857934i	$-0.328252\pi$
$79$	−4.09697	−	5.63899i	−0.460945	−	0.634436i	−0.974704	+	0.223498i	$0.928252\pi$
$80$	−3.98559	+	1.29500i	−0.445603	+	0.144785i
$81$	8.61891	+	2.59122i	0.957657	+	0.287913i
$82$	−4.37652	−	3.17973i	−0.483305	−	0.351142i
$83$	−1.25887	−	0.914625i	−0.138179	−	0.100393i	0.516548	−	0.856258i	$-0.327217\pi$
$83$	−1.25887	−	0.914625i	−0.138179	−	0.100393i	−0.654728	+	0.755865i	$0.727217\pi$
$84$	−1.11758	+	1.32326i	−0.121938	+	0.144380i
$85$	16.1820	−	5.25786i	1.75519	−	0.570294i
$86$	−6.20228	−	8.53670i	−0.668809	−	0.920536i
$87$	3.62858	−	8.89900i	0.389025	−	0.954073i
$88$	−3.21394	+	0.818908i	−0.342607	+	0.0872959i
$89$			14.2712i			1.51274i	0.654142	+	0.756371i	$0.273030\pi$
$89$			14.2712i			1.51274i	−0.654142	+	0.756371i	$0.726970\pi$
$90$	−1.82930	+	12.4383i	−0.192825	+	1.31111i
$91$	1.27541	+	3.92532i	0.133700	+	0.411485i
$92$	−2.56083	−	0.832065i	−0.266985	−	0.0867487i
$93$	−5.90451	+	3.66334i	−0.612269	+	0.379871i
$94$	1.76643	−	2.43128i	0.182193	−	0.250768i
$95$	−1.95044	+	6.00283i	−0.200111	+	0.615877i
$96$	1.72744	+	0.126348i	0.176306	+	0.0128953i
$97$	2.16169	−	1.57056i	0.219486	−	0.159466i	−0.472609	−	0.881272i	$-0.656688\pi$
$97$	2.16169	−	1.57056i	0.219486	−	0.159466i	0.692095	+	0.721806i	$0.256688\pi$
$98$	−1.00000			−0.101015
$99$	−2.08089	+	9.72985i	−0.209137	+	0.977886i
$100$	−12.5620			−1.25620
$101$	−14.6987	+	10.6792i	−1.46257	+	1.06262i	−0.479892	+	0.877328i	$0.659324\pi$
$101$	−14.6987	+	10.6792i	−1.46257	+	1.06262i	−0.982683	+	0.185295i	$0.940676\pi$
$102$	−7.01362	−	0.512988i	−0.694451	−	0.0507933i
$103$	−5.24962	+	16.1567i	−0.517261	+	1.59197i	0.261869	+	0.965103i	$0.415661\pi$
$103$	−5.24962	+	16.1567i	−0.517261	+	1.59197i	−0.779130	+	0.626862i	$0.784339\pi$
$104$	2.42598	−	3.33908i	0.237887	−	0.327423i
$105$	−6.16783	+	3.82671i	−0.601919	+	0.373449i
$106$	−0.398934	−	0.129621i	−0.0387479	−	0.0125899i
$107$	−5.22103	−	16.0687i	−0.504736	−	1.55342i	−0.801213	−	0.598379i	$-0.795812\pi$
$107$	−5.22103	−	16.0687i	−0.504736	−	1.55342i	0.296477	−	0.955040i	$-0.404188\pi$
$108$	2.64114	−	4.47486i	0.254143	−	0.430594i
$109$			12.2023i			1.16877i	0.811478	+	0.584383i	$0.198663\pi$
$109$			12.2023i			1.16877i	−0.811478	+	0.584383i	$0.801337\pi$
$110$	−13.8699	−	0.898207i	−1.32245	−	0.0856406i
$111$	−0.999078	+	2.45021i	−0.0948282	+	0.232564i
$112$	0.587785	+	0.809017i	0.0555405	+	0.0764449i
$113$	16.8780	−	5.48398i	1.58774	−	0.515889i	0.623708	−	0.781658i	$-0.285626\pi$
$113$	16.8780	−	5.48398i	1.58774	−	0.515889i	0.964037	+	0.265768i	$0.0856256\pi$
$114$	1.68322	−	1.99300i	0.157648	−	0.186662i
$115$	−9.12891	−	6.63254i	−0.851275	−	0.618487i
$116$	−4.48886	−	3.26135i	−0.416780	−	0.302808i
$117$	−5.74293	−	10.9696i	−0.530934	−	1.01414i
$118$	−14.2941	+	4.64445i	−1.31588	+	0.427556i
$119$	−2.38648	−	3.28471i	−0.218769	−	0.301109i
$120$	6.72123	+	2.74059i	0.613562	+	0.250181i
$121$	−10.9081	−	1.41875i	−0.991647	−	0.128978i
$122$			1.99138i			0.180291i
$123$	2.23768	+	9.09871i	0.201764	+	0.820403i
$124$	1.23971	+	3.81544i	0.111329	+	0.342636i
$125$	−30.1388	−	9.79270i	−2.69570	−	0.875886i
$126$	2.95770	−	0.502035i	0.263492	−	0.0447248i
$127$	1.36400	−	1.87739i	0.121036	−	0.166591i	−0.744200	−	0.667957i	$-0.767169\pi$
$127$	1.36400	−	1.87739i	0.121036	−	0.166591i	0.865235	+	0.501366i	$0.167169\pi$
$128$	0.309017	−	0.951057i	0.0273135	−	0.0840623i
$129$	−1.33321	+	18.2278i	−0.117383	+	1.60487i
$130$	13.9931	−	10.1666i	1.22727	−	0.891666i
$131$	−11.0767			−0.967777			−0.483889	−	0.875130i	$-0.660776\pi$
$131$	−11.0767			−0.967777			−0.483889	+	0.875130i	$0.660776\pi$
$132$	5.16807	+	2.50820i	0.449823	+	0.218311i
$133$	1.50613			0.130598
$134$	10.0408	−	7.29507i	0.867393	−	0.630198i
$135$	16.3214	−	14.4147i	1.40472	−	1.24062i
$136$	−1.25465	+	3.86141i	−0.107585	+	0.331113i
$137$	−7.87223	+	10.8352i	−0.672570	+	0.925713i	−0.999815	−	0.0192265i	$-0.993880\pi$
$137$	−7.87223	+	10.8352i	−0.672570	+	0.925713i	0.327245	+	0.944939i	$0.393880\pi$
$138$	2.45875	+	3.96297i	0.209303	+	0.337350i
$139$	13.5052	+	4.38810i	1.14550	+	0.372194i	0.819445	−	0.573158i	$-0.194282\pi$
$139$	13.5052	+	4.38810i	1.14550	+	0.372194i	0.326051	+	0.945352i	$0.394282\pi$
$140$	1.29500	+	3.98559i	0.109447	+	0.336844i
$141$	−5.05460	+	1.24309i	−0.425674	+	0.104687i
$142$			0.0680487i			0.00571052i
$143$	11.5713	−	7.31357i	0.967639	−	0.611592i
$144$	−2.14464	−	2.09774i	−0.178720	−	0.174811i
$145$	−13.6673	−	18.8115i	−1.13501	−	1.56221i
$146$	−1.18231	+	0.384156i	−0.0978488	+	0.0317930i
$147$	1.32326	+	1.11758i	0.109141	+	0.0921764i
$148$	1.23594	+	0.897965i	0.101594	+	0.0738123i
$149$	−10.0883	−	7.32960i	−0.826469	−	0.600465i	0.0920894	−	0.995751i	$-0.470645\pi$
$149$	−10.0883	−	7.32960i	−0.826469	−	0.600465i	−0.918558	+	0.395286i	$0.870645\pi$
$150$	16.6227	+	14.0390i	1.35724	+	1.14628i
$151$	6.39257	−	2.07707i	0.520220	−	0.169030i	−0.0371253	−	0.999311i	$-0.511820\pi$
$151$	6.39257	−	2.07707i	0.520220	−	0.169030i	0.557345	+	0.830281i	$0.311820\pi$
$152$	−0.885282	−	1.21849i	−0.0718059	−	0.0988323i
$153$	8.70753	+	8.51708i	0.703962	+	0.688565i
$154$	0.818908	+	3.21394i	0.0659895	+	0.258986i
$155$			16.8122i			1.35039i
$156$	−6.94189	+	1.70724i	−0.555796	+	0.136689i
$157$	−5.28211	−	16.2567i	−0.421558	−	1.29742i	−0.906252	−	0.422739i	$-0.861069\pi$
$157$	−5.28211	−	16.2567i	−0.421558	−	1.29742i	0.484693	−	0.874684i	$-0.338931\pi$
$158$	6.62903	+	2.15390i	0.527377	+	0.171355i
$159$	0.383031	+	0.617363i	0.0303763	+	0.0489600i
$160$	2.46323	−	3.39035i	0.194735	−	0.268030i
$161$	−0.832065	+	2.56083i	−0.0655759	+	0.201822i
$162$	−8.49592	+	2.96973i	−0.667503	+	0.233324i
$163$	3.23083	−	2.34734i	0.253058	−	0.183858i	−0.454023	−	0.890990i	$-0.650012\pi$
$163$	3.23083	−	2.34734i	0.253058	−	0.183858i	0.707081	+	0.707132i	$0.250012\pi$
$164$	5.40967			0.422424
$165$	17.3497	+	16.6893i	1.35067	+	1.29926i
$166$	1.55605			0.120773
$167$	2.43259	−	1.76738i	0.188239	−	0.136764i	−0.489674	−	0.871905i	$-0.662884\pi$
$167$	2.43259	−	1.76738i	0.188239	−	0.136764i	0.677914	+	0.735142i	$0.262884\pi$
$168$	0.126348	−	1.72744i	0.00974793	−	0.133275i
$169$	−1.24683	+	3.83734i	−0.0959097	+	0.295180i
$170$	−10.0010	+	13.7652i	−0.767044	+	1.05575i
$171$	−4.45468	+	0.756130i	−0.340658	+	0.0578227i
$172$	10.0355	+	3.26073i	0.765199	+	0.248628i
$173$	−0.935195	−	2.87824i	−0.0711016	−	0.218828i	0.909191	−	0.416379i	$-0.136701\pi$
$173$	−0.935195	−	2.87824i	−0.0711016	−	0.218828i	−0.980293	+	0.197551i	$0.936701\pi$
$174$	2.29512	+	9.33226i	0.173992	+	0.707477i
$175$			12.5620i			0.949594i
$176$	2.11879	−	2.55162i	0.159710	−	0.192335i
$177$	24.1054	+	9.82902i	1.81187	+	0.738795i
$178$	−8.38839	−	11.5456i	−0.628737	−	0.865382i
$179$	6.42177	−	2.08656i	0.479985	−	0.155957i	−0.0590238	−	0.998257i	$-0.518799\pi$
$179$	6.42177	−	2.08656i	0.479985	−	0.155957i	0.539009	+	0.842300i	$0.318799\pi$
$180$	−5.83111	−	11.1380i	−0.434625	−	0.830180i
$181$	−4.39551	−	3.19353i	−0.326716	−	0.237373i	0.412320	−	0.911039i	$-0.364719\pi$
$181$	−4.39551	−	3.19353i	−0.326716	−	0.237373i	−0.739036	+	0.673666i	$0.764719\pi$
$182$	−3.33908	−	2.42598i	−0.247509	−	0.179826i
$183$	2.22553	−	2.63512i	0.164516	−	0.194793i
$184$	2.56083	−	0.832065i	0.188787	−	0.0613406i
$185$	3.76310	+	5.17946i	0.276669	+	0.380802i
$186$	2.62359	−	6.43429i	0.192371	−	0.471785i
$187$	−8.60255	+	10.3599i	−0.629081	+	0.757590i
$188$			3.00523i			0.219179i
$189$	−4.47486	−	2.64114i	−0.325498	−	0.192114i
$190$	−1.95044	−	6.00283i	−0.141500	−	0.435491i
$191$	−5.97585	−	1.94167i	−0.432397	−	0.140494i	0.0847279	−	0.996404i	$-0.472998\pi$
$191$	−5.97585	−	1.94167i	−0.432397	−	0.140494i	−0.517125	+	0.855910i	$0.672998\pi$
$192$	−1.47179	+	0.913144i	−0.106217	+	0.0659005i
$193$	5.04603	−	6.94526i	0.363221	−	0.499931i	−0.587822	−	0.808991i	$-0.700014\pi$
$193$	5.04603	−	6.94526i	0.363221	−	0.499931i	0.951043	+	0.309060i	$0.100014\pi$
$194$	−0.825690	+	2.54121i	−0.0592811	+	0.182449i
$195$	−29.8784	−	2.18536i	−2.13964	−	0.156497i
$196$	0.809017	−	0.587785i	0.0577869	−	0.0419847i
$197$	7.83655			0.558331			0.279165	−	0.960243i	$-0.409942\pi$
$197$	7.83655			0.558331			0.279165	+	0.960243i	$0.409942\pi$
$198$	−4.03559	−	9.09473i	−0.286797	−	0.646334i
$199$	−4.78220			−0.339001			−0.169500	−	0.985530i	$-0.554215\pi$
$199$	−4.78220			−0.339001			−0.169500	+	0.985530i	$0.554215\pi$
$200$	10.1628	−	7.38373i	0.718621	−	0.522109i
$201$	−21.4394	−	1.56811i	−1.51222	−	0.110606i
$202$	5.61440	−	17.2794i	0.395028	−	1.21577i
$203$	−3.26135	+	4.48886i	−0.228902	+	0.315056i
$204$	5.97566	−	3.70748i	0.418380	−	0.259576i
$205$	21.5607	+	7.00551i	1.50587	+	0.489286i
$206$	−5.24962	−	16.1567i	−0.365759	−	1.12569i
$207$	1.17537	−	7.99189i	0.0816937	−	0.555474i
$208$			4.12733i			0.286179i
$209$	−1.23338	−	4.84061i	−0.0853149	−	0.334832i
$210$	2.74059	−	6.72123i	0.189119	−	0.463809i
$211$	−6.35250	−	8.74347i	−0.437324	−	0.601925i	0.532291	−	0.846562i	$-0.321331\pi$
$211$	−6.35250	−	8.74347i	−0.437324	−	0.601925i	−0.969615	+	0.244636i	$0.921331\pi$
$212$	0.398934	−	0.129621i	0.0273989	−	0.00890243i
$213$	0.0760498	−	0.0900461i	0.00521084	−	0.00616986i
$214$	13.6688	+	9.93099i	0.934383	+	0.678869i
$215$	35.7747	+	25.9919i	2.43982	+	1.77263i
$216$	0.493535	+	5.17266i	0.0335808	+	0.351955i
$217$	3.81544	−	1.23971i	0.259009	−	0.0841570i
$218$	−7.17231	−	9.87184i	−0.485770	−	0.668605i
$219$	1.99383	+	0.812988i	0.134731	+	0.0549366i
$220$	11.7490	−	7.42587i	0.792114	−	0.500652i
$221$		−	16.7575i		−	1.12723i
$222$	−0.631927	−	2.56951i	−0.0424122	−	0.172454i
$223$	3.71276	+	11.4267i	0.248625	+	0.765189i	0.995019	+	0.0996850i	$0.0317835\pi$
$223$	3.71276	+	11.4267i	0.248625	+	0.765189i	−0.746394	+	0.665504i	$0.768216\pi$
$224$	−0.951057	−	0.309017i	−0.0635451	−	0.0206471i
$225$	−6.30653	−	37.1544i	−0.420436	−	2.47696i
$226$	−10.4312	+	14.3572i	−0.693870	+	0.955030i
$227$	3.10942	−	9.56980i	0.206379	−	0.635170i	−0.793275	−	0.608864i	$-0.791626\pi$
$227$	3.10942	−	9.56980i	0.206379	−	0.635170i	0.999654	−	0.0263062i	$-0.00837450\pi$
$228$	−0.190296	+	2.60175i	−0.0126027	+	0.172305i
$229$	−15.0942	+	10.9666i	−0.997456	+	0.724694i	−0.961541	−	0.274661i	$-0.911434\pi$
$229$	−15.0942	+	10.9666i	−0.997456	+	0.724694i	−0.0359145	+	0.999355i	$0.511434\pi$
$230$	11.2839			0.744042
$231$	2.50820	−	5.16807i	0.165027	−	0.340034i
$232$	5.54854			0.364279
$233$	9.41172	−	6.83802i	0.616582	−	0.447973i	−0.235144	−	0.971961i	$-0.575556\pi$
$233$	9.41172	−	6.83802i	0.616582	−	0.447973i	0.851726	+	0.523987i	$0.175556\pi$
$234$	11.0939	+	5.49898i	0.725231	+	0.359480i
$235$	−3.89176	+	11.9776i	−0.253871	+	0.781334i
$236$	8.83427	−	12.1593i	0.575062	−	0.791505i
$237$	−6.36478	−	10.2586i	−0.413437	−	0.666370i
$238$	3.86141	+	1.25465i	0.250298	+	0.0813268i
$239$	7.36083	+	22.6543i	0.476133	+	1.46539i	0.844424	+	0.535675i	$0.179943\pi$
$239$	7.36083	+	22.6543i	0.476133	+	1.46539i	−0.368291	+	0.929710i	$0.620057\pi$
$240$	−7.04847	+	1.73346i	−0.454977	+	0.111894i
$241$		−	3.08815i		−	0.198925i	−0.995041	−	0.0994627i	$-0.968288\pi$
$241$		−	3.08815i		−	0.198925i	0.995041	−	0.0994627i	$-0.0317124\pi$
$242$	9.65878	−	5.26384i	0.620890	−	0.338372i
$243$	14.5612	+	5.56514i	0.934103	+	0.357004i
$244$	−1.17050	−	1.61106i	−0.0749339	−	0.103138i
$245$	3.98559	−	1.29500i	0.254630	−	0.0827343i
$246$	−7.15840	−	6.04573i	−0.456403	−	0.385462i
$247$	5.02909	+	3.65385i	0.319993	+	0.232489i
$248$	−3.24560	−	2.35807i	−0.206096	−	0.149738i
$249$	−2.05906	−	1.73901i	−0.130488	−	0.110205i
$250$	30.1388	−	9.79270i	1.90615	−	0.619345i
$251$	4.79621	+	6.60141i	0.302734	+	0.416678i	0.933098	−	0.359622i	$-0.117094\pi$
$251$	4.79621	+	6.60141i	0.302734	+	0.416678i	−0.630364	+	0.776300i	$0.717094\pi$
$252$	−2.09774	+	2.14464i	−0.132145	+	0.135100i
$253$	8.91174	+	0.577118i	0.560276	+	0.0362831i
$254$			2.32058i			0.145606i
$255$	28.6177	−	7.03805i	1.79211	−	0.440740i
$256$	0.309017	+	0.951057i	0.0193136	+	0.0594410i
$257$	−13.5440	−	4.40070i	−0.844850	−	0.274508i	−0.145563	−	0.989349i	$-0.546499\pi$
$257$	−13.5440	−	4.40070i	−0.844850	−	0.274508i	−0.699287	+	0.714841i	$0.746499\pi$
$258$	−9.63544	−	15.5302i	−0.599877	−	0.966871i
$259$	0.897965	−	1.23594i	0.0557968	−	0.0767978i
$260$	−5.34487	+	16.4498i	−0.331475	+	1.02018i
$261$	7.39251	−	14.9140i	0.457585	−	0.923153i
$262$	8.96125	−	6.51073i	0.553628	−	0.402234i
$263$	5.34870			0.329815			0.164907	−	0.986309i	$-0.447267\pi$
$263$	5.34870			0.329815			0.164907	+	0.986309i	$0.447267\pi$
$264$	−5.65534	+	1.00854i	−0.348062	+	0.0620712i
$265$	1.75785			0.107984
$266$	−1.21849	+	0.885282i	−0.0747102	+	0.0542801i
$267$	−1.80313	+	24.6526i	−0.110350	+	1.50871i
$268$	−3.83524	+	11.8037i	−0.234275	+	0.721024i
$269$	−13.2031	+	18.1726i	−0.805010	+	1.10800i	0.187064	+	0.982348i	$0.440103\pi$
$269$	−13.2031	+	18.1726i	−0.805010	+	1.10800i	−0.992074	+	0.125653i	$0.959897\pi$
$270$	−4.73155	+	21.2552i	−0.287953	+	1.29355i
$271$	10.7641	+	3.49748i	0.653874	+	0.212457i	0.617121	−	0.786868i	$-0.288299\pi$
$271$	10.7641	+	3.49748i	0.653874	+	0.212457i	0.0367524	+	0.999324i	$0.488299\pi$
$272$	−1.25465	−	3.86141i	−0.0760743	−	0.234133i
$273$	1.70724	+	6.94189i	0.103327	+	0.420142i
$274$		−	13.3930i		−	0.809103i
$275$	40.3733	−	10.2871i	2.43460	−	0.620334i
$276$	−4.31854	−	1.76089i	−0.259946	−	0.105993i
$277$	−12.1770	−	16.7603i	−0.731648	−	1.00703i	−0.999056	−	0.0434437i	$-0.986167\pi$
$277$	−12.1770	−	16.7603i	−0.731648	−	1.00703i	0.267408	−	0.963583i	$-0.413833\pi$
$278$	−13.5052	+	4.38810i	−0.809988	+	0.263181i
$279$	−10.6625	+	5.58217i	−0.638348	+	0.334196i
$280$	−3.39035	−	2.46323i	−0.202612	−	0.147206i
$281$	20.8026	+	15.1140i	1.24098	+	0.901626i	0.997663	−	0.0683205i	$-0.0217641\pi$
$281$	20.8026	+	15.1140i	1.24098	+	0.901626i	0.243318	+	0.969947i	$0.421764\pi$
$282$	3.35858	−	3.97670i	0.200001	−	0.236809i
$283$	−9.92191	+	3.22383i	−0.589797	+	0.191637i	−0.588685	−	0.808363i	$-0.700354\pi$
$283$	−9.92191	+	3.22383i	−0.589797	+	0.191637i	−0.00111205	+	0.999999i	$0.500354\pi$
$284$	−0.0399980	−	0.0550525i	−0.00237345	−	0.00326677i
$285$	−4.12770	+	10.1231i	−0.244504	+	0.599639i
$286$	−5.06255	+	12.7182i	−0.299355	+	0.752045i
$287$		−	5.40967i		−	0.319323i
$288$	2.96807	+	0.436515i	0.174895	+	0.0257219i
$289$	−0.159251	−	0.490125i	−0.00936773	−	0.0288309i
$290$	22.1142	+	7.18534i	1.29859	+	0.421937i
$291$	3.93261	−	2.43991i	0.230534	−	0.143030i
$292$	0.730709	−	1.00573i	0.0427615	−	0.0588561i
$293$	7.94195	−	24.4428i	0.463974	−	1.42796i	−0.396295	−	0.918123i	$-0.629704\pi$
$293$	7.94195	−	24.4428i	0.463974	−	1.42796i	0.860269	−	0.509841i	$-0.170296\pi$
$294$	−1.72744	−	0.126348i	−0.100746	−	0.00736874i
$295$	50.9561	−	37.0218i	2.96678	−	2.15549i
$296$	−1.52771			−0.0887963
$297$	−4.82394	+	16.5448i	−0.279913	+	0.960025i
$298$	12.4699			0.722360
$299$	−8.99086	+	6.53224i	−0.519955	+	0.377769i
$300$	−21.7000	−	1.58717i	−1.25285	−	0.0916354i
$301$	3.26073	−	10.0355i	0.187945	−	0.578436i
$302$	−3.95082	+	5.43784i	−0.227344	+	0.312913i
$303$	−26.7404	+	16.5905i	−1.53619	+	0.953102i
$304$	1.43242	+	0.465420i	0.0821547	+	0.0266937i
$305$	−2.57883	−	7.93683i	−0.147664	−	0.454462i
$306$	−12.0508	−	1.77231i	−0.688896	−	0.101316i
$307$		−	19.5325i		−	1.11478i	−0.830250	−	0.557391i	$-0.811803\pi$
$307$		−	19.5325i		−	1.11478i	0.830250	−	0.557391i	$-0.188197\pi$
$308$	−2.55162	−	2.11879i	−0.145392	−	0.120729i
$309$	−11.1098	+	27.2464i	−0.632012	+	1.54999i
$310$	−9.88196	−	13.6013i	−0.561257	−	0.772505i
$311$	6.77640	−	2.20178i	0.384254	−	0.124852i	−0.110519	−	0.993874i	$-0.535251\pi$
$311$	6.77640	−	2.20178i	0.384254	−	0.124852i	0.494773	+	0.869022i	$0.335251\pi$
$312$	4.61261	−	5.46153i	0.261138	−	0.309198i
$313$	−19.1918	−	13.9437i	−1.08478	−	0.788142i	−0.106274	−	0.994337i	$-0.533892\pi$
$313$	−19.1918	−	13.9437i	−1.08478	−	0.788142i	−0.978511	+	0.206195i	$0.933892\pi$
$314$	13.8287	+	10.0472i	0.780401	+	0.566995i
$315$	−11.1380	+	5.83111i	−0.627557	+	0.328546i
$316$	−6.62903	+	2.15390i	−0.372912	+	0.121166i
$317$	13.7187	+	18.8821i	0.770517	+	1.06053i	0.996266	+	0.0863402i	$0.0275172\pi$
$317$	13.7187	+	18.8821i	0.770517	+	1.06053i	−0.225749	+	0.974186i	$0.572483\pi$
$318$	−0.672755	−	0.274317i	−0.0377262	−	0.0153829i
$319$	17.0977	+	6.80580i	0.957285	+	0.381052i
$320$			4.19070i			0.234267i
$321$	−6.98876	−	28.4173i	−0.390075	−	1.58610i
$322$	−0.832065	−	2.56083i	−0.0463692	−	0.142710i
$323$	−5.81580	−	1.88967i	−0.323600	−	0.105144i
$324$	5.12778	−	7.39634i	0.284877	−	0.410908i
$325$	−30.4751	+	41.9453i	−1.69045	+	2.32671i
$326$	−1.23407	+	3.79807i	−0.0683487	+	0.210356i
$327$	−1.54173	+	21.0786i	−0.0852577	+	1.16565i
$328$	−4.37652	+	3.17973i	−0.241653	+	0.175571i
$329$	3.00523			0.165684
$330$	−23.8459	−	3.30403i	−1.31267	−	0.181881i
$331$	14.0689			0.773295			0.386647	−	0.922228i	$-0.373633\pi$
$331$	14.0689			0.773295			0.386647	+	0.922228i	$0.373633\pi$
$332$	−1.25887	+	0.914625i	−0.0690896	+	0.0501966i
$333$	−2.03542	+	4.10635i	−0.111540	+	0.225027i
$334$	−0.929166	+	2.85968i	−0.0508417	+	0.156475i
$335$	−30.5714	+	42.0780i	−1.67030	+	2.29896i
$336$	0.913144	+	1.47179i	0.0498161	+	0.0802928i
$337$	−15.5017	−	5.03682i	−0.844434	−	0.274373i	−0.145321	−	0.989385i	$-0.546421\pi$
$337$	−15.5017	−	5.03682i	−0.844434	−	0.274373i	−0.699113	+	0.715011i	$0.746421\pi$
$338$	−1.24683	−	3.83734i	−0.0678184	−	0.208724i
$339$	29.8485	−	7.34074i	1.62115	−	0.398694i
$340$		−	17.0148i		−	0.922756i
$341$	−7.10884	−	11.2474i	−0.384965	−	0.609079i
$342$	3.15947	−	3.23012i	0.170845	−	0.174665i
$343$	−0.587785	−	0.809017i	−0.0317374	−	0.0436828i
$344$	−10.0355	+	3.26073i	−0.541077	+	0.175807i
$345$	−14.9316	−	12.6107i	−0.803890	−	0.678938i
$346$	2.44837	+	1.77885i	0.131625	+	0.0956314i
$347$	−29.0078	−	21.0754i	−1.55722	−	1.13139i	−0.938243	−	0.345978i	$-0.887547\pi$
$347$	−29.0078	−	21.0754i	−1.55722	−	1.13139i	−0.618977	−	0.785409i	$-0.712453\pi$
$348$	−7.34216	−	6.20093i	−0.393581	−	0.332405i
$349$	2.33777	−	0.759589i	0.125138	−	0.0406599i	−0.245778	−	0.969326i	$-0.579044\pi$
$349$	2.33777	−	0.759589i	0.125138	−	0.0406599i	0.370917	+	0.928666i	$0.379044\pi$
$350$	−7.38373	−	10.1628i	−0.394677	−	0.543226i
$351$	−8.53457	−	19.6749i	−0.455541	−	1.05017i
$352$	−0.214333	+	3.30969i	−0.0114240	+	0.176407i
$353$		−	24.5100i		−	1.30454i	−0.757989	−	0.652268i	$-0.773818\pi$
$353$		−	24.5100i		−	1.30454i	0.757989	−	0.652268i	$-0.226182\pi$
$354$	−25.2790	+	6.21696i	−1.34357	+	0.330428i
$355$	−0.0881228	−	0.271214i	−0.00467707	−	0.0143946i
$356$	13.5727	+	4.41004i	0.719352	+	0.233732i
$357$	−3.70748	−	5.97566i	−0.196221	−	0.316265i
$358$	−3.96887	+	5.46268i	−0.209761	+	0.288712i
$359$	−4.80659	+	14.7932i	−0.253682	+	0.780753i	0.740404	+	0.672162i	$0.234634\pi$
$359$	−4.80659	+	14.7932i	−0.253682	+	0.780753i	−0.994086	+	0.108592i	$0.965366\pi$
$360$	11.2642	+	5.58341i	0.593677	+	0.294272i
$361$	−13.5361	+	9.83457i	−0.712427	+	0.517609i
$362$	5.43315			0.285560
$363$	−18.6638	−	3.82902i	−0.979597	−	0.200972i
$364$	4.12733			0.216331
$365$	4.21473	−	3.06218i	0.220609	−	0.160282i
$366$	−0.251606	+	3.43998i	−0.0131517	+	0.179811i
$367$	−1.34729	+	4.14654i	−0.0703281	+	0.216448i	−0.980043	−	0.198786i	$-0.936300\pi$
$367$	−1.34729	+	4.14654i	−0.0703281	+	0.216448i	0.909715	+	0.415234i	$0.136300\pi$
$368$	−1.58268	+	2.17837i	−0.0825030	+	0.113556i
$369$	2.71584	+	16.0002i	0.141381	+	0.832935i
$370$	−6.08883	−	1.97838i	−0.316543	−	0.102851i
$371$	−0.129621	−	0.398934i	−0.00672961	−	0.0207116i
$372$	1.65945	+	6.74756i	0.0860384	+	0.349845i
$373$		−	2.62893i		−	0.136121i	−0.997681	−	0.0680604i	$-0.978319\pi$
$373$		−	2.62893i		−	0.136121i	0.997681	−	0.0680604i	$-0.0216811\pi$
$374$	0.870221	−	13.4378i	0.0449981	−	0.694851i
$375$	−50.8257	−	20.7242i	−2.62463	−	1.07020i
$376$	−1.76643	−	2.43128i	−0.0910967	−	0.125384i
$377$	−21.7798	+	7.07668i	−1.12172	+	0.364467i
$378$	5.17266	−	0.493535i	0.266053	−	0.0253847i
$379$	−10.5493	−	7.66451i	−0.541881	−	0.393699i	0.282902	−	0.959149i	$-0.408703\pi$
$379$	−10.5493	−	7.66451i	−0.541881	−	0.393699i	−0.824783	+	0.565449i	$0.808703\pi$
$380$	5.10631	+	3.70995i	0.261948	+	0.190316i
$381$	2.59343	−	3.07073i	0.132866	−	0.157318i
$382$	5.97585	−	1.94167i	0.305751	−	0.0993446i
$383$	4.13827	+	5.69585i	0.211456	+	0.291044i	0.901549	−	0.432676i	$-0.142431\pi$
$383$	4.13827	+	5.69585i	0.211456	+	0.291044i	−0.690093	+	0.723720i	$0.742431\pi$
$384$	0.653971	−	1.60385i	0.0333728	−	0.0818459i
$385$	−7.42587	−	11.7490i	−0.378457	−	0.598782i
$386$			8.58482i			0.436956i
$387$	−4.60608	+	31.3189i	−0.234140	+	1.59203i
$388$	−0.825690	−	2.54121i	−0.0419181	−	0.129011i
$389$	14.9751	+	4.86570i	0.759267	+	0.246701i	0.662964	−	0.748651i	$-0.269298\pi$
$389$	14.9751	+	4.86570i	0.759267	+	0.246701i	0.0963031	+	0.995352i	$0.469298\pi$
$390$	25.4566	−	15.7941i	1.28905	−	0.799765i
$391$	6.42589	−	8.84448i	0.324971	−	0.447285i
$392$	−0.309017	+	0.951057i	−0.0156077	+	0.0480356i
$393$	−19.1343	−	1.39952i	−0.965199	−	0.0705963i
$394$	−6.33990	+	4.60621i	−0.319399	+	0.232057i
$395$	−29.2099			−1.46971
$396$	8.61060	+	4.98573i	0.432699	+	0.250542i
$397$	20.1413			1.01086			0.505431	−	0.862867i	$-0.331334\pi$
$397$	20.1413			1.01086			0.505431	+	0.862867i	$0.331334\pi$
$398$	3.86888	−	2.81090i	0.193929	−	0.140898i
$399$	2.60175	+	0.190296i	0.130250	+	0.00952672i
$400$	−3.88186	+	11.9471i	−0.194093	+	0.597356i
$401$	−9.13031	+	12.5668i	−0.455946	+	0.627556i	−0.973662	−	0.227997i	$-0.926782\pi$
$401$	−9.13031	+	12.5668i	−0.455946	+	0.627556i	0.517716	+	0.855553i	$0.326782\pi$
$402$	18.2666	−	11.3331i	0.911053	−	0.565245i
$403$	15.7475	+	5.11669i	0.784441	+	0.254880i
$404$	5.61440	+	17.2794i	0.279327	+	0.859680i
$405$	30.0155	−	22.8383i	1.49148	−	1.13485i
$406$		−	5.54854i		−	0.275369i
$407$	−4.70759	−	1.87388i	−0.233347	−	0.0928848i
$408$	−2.65521	+	6.51182i	−0.131452	+	0.322383i
$409$	19.5167	+	26.8624i	0.965039	+	1.32826i	0.944513	+	0.328473i	$0.106534\pi$
$409$	19.5167	+	26.8624i	0.965039	+	1.32826i	0.0205257	+	0.999789i	$0.493466\pi$
$410$	−21.5607	+	7.00551i	−1.06481	+	0.345977i
$411$	−14.9678	+	17.7225i	−0.738306	+	0.874185i
$412$	13.7437	+	9.98538i	0.677103	+	0.491944i
$413$	−12.1593	−	8.83427i	−0.598322	−	0.434706i
$414$	3.74662	+	7.15644i	0.184136	+	0.351720i
$415$	−6.20179	+	2.01508i	−0.304434	+	0.0989166i
$416$	−2.42598	−	3.33908i	−0.118944	−	0.163712i
$417$	22.7749	+	9.28652i	1.11529	+	0.454763i
$418$	3.84307	+	3.19117i	0.187971	+	0.156085i
$419$			2.62083i			0.128036i	0.997949	+	0.0640180i	$0.0203915\pi$
$419$			2.62083i			0.128036i	−0.997949	+	0.0640180i	$0.979608\pi$
$420$	1.73346	+	7.04847i	0.0845839	+	0.343930i
$421$	−4.02162	−	12.3773i	−0.196002	−	0.603232i	−0.999963	−	0.00855057i	$-0.997278\pi$
$421$	−4.02162	−	12.3773i	−0.196002	−	0.603232i	0.803962	−	0.594681i	$-0.202722\pi$
$422$	10.2786	+	3.33971i	0.500353	+	0.162574i
$423$	−8.88856	+	1.50873i	−0.432176	+	0.0733570i
$424$	−0.246554	+	0.339353i	−0.0119737	+	0.0164804i
$425$	15.7608	−	48.5069i	0.764513	−	2.35293i
$426$	−0.00859778	+	0.117550i	−0.000416564	+	0.00569530i
$427$	−1.61106	+	1.17050i	−0.0779647	+	0.0566447i
$428$	−16.8956			−0.816681
$429$	20.9127	−	11.1717i	1.00968	−	0.539376i
$430$	−44.2200			−2.13248
$431$	−9.32044	+	6.77169i	−0.448950	+	0.326181i	−0.789181	−	0.614161i	$-0.789495\pi$
$431$	−9.32044	+	6.77169i	−0.448950	+	0.326181i	0.340231	+	0.940342i	$0.389495\pi$
$432$	−3.43969	−	3.89468i	−0.165492	−	0.187383i
$433$	1.09645	−	3.37452i	0.0526919	−	0.162169i	−0.921248	−	0.388976i	$-0.872829\pi$
$433$	1.09645	−	3.37452i	0.0526919	−	0.162169i	0.973940	+	0.226807i	$0.0728288\pi$
$434$	−2.35807	+	3.24560i	−0.113191	+	0.155794i
$435$	−21.2326	−	34.2224i	−1.01803	−	1.64084i
$436$	11.6050	+	3.77071i	0.555781	+	0.180584i
$437$	1.25320	+	3.85695i	0.0599487	+	0.184503i
$438$	−2.09090	+	0.514223i	−0.0999073	+	0.0245705i
$439$			7.44024i			0.355103i	0.984111	+	0.177552i	$0.0568177\pi$
$439$			7.44024i			0.355103i	−0.984111	+	0.177552i	$0.943182\pi$
$440$	−5.14029	+	12.9135i	−0.245054	+	0.615628i
$441$	2.14464	+	2.09774i	0.102126	+	0.0998922i
$442$	9.84980	+	13.5571i	0.468507	+	0.644845i
$443$	3.79094	−	1.23175i	0.180113	−	0.0585223i	−0.217572	−	0.976044i	$-0.569814\pi$
$443$	3.79094	−	1.23175i	0.180113	−	0.0585223i	0.397685	+	0.917522i	$0.369814\pi$
$444$	2.02156	+	1.70734i	0.0959389	+	0.0810266i
$445$	48.3843	+	35.1532i	2.29363	+	1.66642i
$446$	−9.72014	−	7.06210i	−0.460262	−	0.334400i
$447$	−16.5009	−	13.9361i	−0.780465	−	0.659153i
$448$	0.951057	−	0.309017i	0.0449332	−	0.0145997i
$449$	−21.5308	−	29.6346i	−1.01610	−	1.39854i	−0.914902	−	0.403676i	$-0.867732\pi$
$449$	−21.5308	−	29.6346i	−1.01610	−	1.39854i	−0.101199	−	0.994866i	$-0.532268\pi$
$450$	26.9409	+	26.3517i	1.27001	+	1.24223i
$451$	−17.3863	+	4.43002i	−0.818691	+	0.208602i
$452$		−	17.7465i		−	0.834727i
$453$	11.3052	−	2.78032i	0.531164	−	0.130631i
$454$	3.10942	+	9.56980i	0.145932	+	0.449133i
$455$	16.4498	+	5.34487i	0.771180	+	0.250572i
$456$	−1.37532	−	2.21671i	−0.0644051	−	0.103807i
$457$	9.76978	−	13.4469i	0.457011	−	0.629022i	−0.516874	−	0.856061i	$-0.672905\pi$
$457$	9.76978	−	13.4469i	0.457011	−	0.629022i	0.973886	+	0.227039i	$0.0729046\pi$
$458$	5.76549	−	17.7443i	0.269404	−	0.829139i
$459$	13.9656	+	15.8129i	0.651858	+	0.738083i
$460$	−9.12891	+	6.63254i	−0.425637	+	0.309244i
$461$	27.6878			1.28955			0.644774	−	0.764373i	$-0.276952\pi$
$461$	27.6878			1.28955			0.644774	+	0.764373i	$0.276952\pi$
$462$	1.00854	+	5.65534i	0.0469214	+	0.263110i
$463$	19.4322			0.903093			0.451547	−	0.892248i	$-0.350872\pi$
$463$	19.4322			0.903093			0.451547	+	0.892248i	$0.350872\pi$
$464$	−4.48886	+	3.26135i	−0.208390	+	0.151404i
$465$	−2.12418	+	29.0420i	−0.0985064	+	1.34679i
$466$	−3.59496	+	11.0641i	−0.166533	+	0.512537i
$467$	20.1086	−	27.6771i	0.930514	−	1.28074i	−0.0291451	−	0.999575i	$-0.509278\pi$
$467$	20.1086	−	27.6771i	0.930514	−	1.28074i	0.959659	−	0.281167i	$-0.0907215\pi$
$468$	−12.2074	+	2.07206i	−0.564286	+	0.0957810i
$469$	11.8037	+	3.83524i	0.545043	+	0.177095i
$470$	−3.89176	−	11.9776i	−0.179514	−	0.552486i
$471$	−7.07052	−	28.7497i	−0.325792	−	1.32472i
$472$			15.0298i			0.691801i
$473$	−34.9237	−	2.26163i	−1.60579	−	0.103990i
$474$	11.1791	+	4.55829i	0.513472	+	0.209369i
$475$	11.1209	+	15.3066i	0.510261	+	0.702313i
$476$	−3.86141	+	1.25465i	−0.176988	+	0.0575067i
$477$	0.583659	+	1.11485i	0.0267239	+	0.0510454i
$478$	−19.2709	−	14.0011i	−0.881431	−	0.640397i
$479$	−27.4580	−	19.9494i	−1.25459	−	0.911513i	−0.256111	−	0.966647i	$-0.582441\pi$
$479$	−27.4580	−	19.9494i	−1.25459	−	0.911513i	−0.998479	+	0.0551341i	$0.982441\pi$
$480$	4.68344	−	5.54538i	0.213769	−	0.253111i
$481$	5.99675	−	1.94846i	0.273428	−	0.0888422i
$482$	1.81517	+	2.49837i	0.0826787	+	0.113798i
$483$	−1.76089	+	4.31854i	−0.0801234	+	0.196501i
$484$	−4.72011	+	9.93582i	−0.214551	+	0.451628i
$485$		−	11.1975i		−	0.508452i
$486$	−15.0514	+	4.05658i	−0.682745	+	0.184010i
$487$	−9.87423	−	30.3898i	−0.447444	−	1.37709i	−0.879781	−	0.475380i	$-0.842311\pi$
$487$	−9.87423	−	30.3898i	−0.447444	−	1.37709i	0.432337	−	0.901712i	$-0.357689\pi$
$488$	1.89392	+	0.615371i	0.0857336	+	0.0278565i
$489$	5.87764	−	3.64667i	0.265796	−	0.164908i
$490$	−2.46323	+	3.39035i	−0.111277	+	0.153160i
$491$	9.78084	−	30.1023i	0.441403	−	1.35850i	−0.444977	−	0.895542i	$-0.646788\pi$
$491$	9.78084	−	30.1023i	0.441403	−	1.35850i	0.886380	−	0.462958i	$-0.153212\pi$
$492$	9.34486	+	0.683499i	0.421299	+	0.0308145i
$493$	18.2253	−	13.2415i	0.820828	−	0.596367i
$494$	−6.21630			−0.279684
$495$	27.8618	+	31.0218i	1.25230	+	1.39433i
$496$	4.01179			0.180135
$497$	−0.0550525	+	0.0399980i	−0.00246944	+	0.00179416i
$498$	2.68798	+	0.196603i	0.120451	+	0.00881001i
$499$	5.99036	−	18.4364i	0.268166	−	0.825329i	−0.722782	−	0.691076i	$-0.757137\pi$
$499$	5.99036	−	18.4364i	0.268166	−	0.825329i	0.990947	−	0.134252i	$-0.0428632\pi$
$500$	−18.6268	+	25.6376i	−0.833017	+	1.14655i
$501$	4.42544	−	2.74568i	0.197714	−	0.122668i
$502$	−7.76043	−	2.52152i	−0.346365	−	0.112541i
$503$	−3.47199	−	10.6857i	−0.154808	−	0.476451i	0.843333	−	0.537391i	$-0.180590\pi$
$503$	−3.47199	−	10.6857i	−0.154808	−	0.476451i	−0.998141	+	0.0609401i	$0.980590\pi$
$504$	0.436515	−	2.96807i	0.0194439	−	0.132208i
$505$			76.1391i			3.38814i
$506$	−7.54897	+	4.77129i	−0.335593	+	0.212110i
$507$	−2.63865	+	6.47122i	−0.117187	+	0.287397i
$508$	−1.36400	−	1.87739i	−0.0605179	−	0.0832957i
$509$	−0.666107	+	0.216431i	−0.0295247	+	0.00959315i	−0.323742	−	0.946145i	$-0.604941\pi$
$509$	−0.666107	+	0.216431i	−0.0295247	+	0.00959315i	0.294217	+	0.955739i	$0.404941\pi$
$510$	−19.0154	+	22.5150i	−0.842014	+	0.996980i
$511$	−1.00573	−	0.730709i	−0.0444911	−	0.0323246i
$512$	−0.809017	−	0.587785i	−0.0357538	−	0.0259767i
$513$	−7.79071	+	0.743329i	−0.343968	+	0.0328188i
$514$	13.5440	−	4.40070i	0.597399	−	0.194107i
$515$	41.8457	+	57.5957i	1.84394	+	2.53797i
$516$	16.9237	+	6.90066i	0.745024	+	0.303785i
$517$	−2.46101	−	9.65862i	−0.108235	−	0.424786i
$518$			1.52771i			0.0671237i
$519$	−1.25183	−	5.09013i	−0.0549493	−	0.223432i
$520$	−5.34487	−	16.4498i	−0.234388	−	0.721373i
$521$	0.108855	+	0.0353692i	0.00476903	+	0.00154955i	0.311401	−	0.950279i	$-0.399202\pi$
$521$	0.108855	+	0.0353692i	0.00476903	+	0.00154955i	−0.306632	+	0.951828i	$0.599202\pi$
$522$	2.78556	+	16.4109i	0.121921	+	0.718285i
$523$	−8.07085	+	11.1086i	−0.352914	+	0.485744i	−0.948157	−	0.317801i	$-0.897056\pi$
$523$	−8.07085	+	11.1086i	−0.352914	+	0.485744i	0.595244	+	0.803545i	$0.297056\pi$
$524$	−3.42289	+	10.5346i	−0.149530	+	0.460206i
$525$	−1.58717	+	21.7000i	−0.0692699	+	0.947064i
$526$	−4.32719	+	3.14388i	−0.188674	+	0.137080i
$527$	−16.2884			−0.709533
$528$	3.98246	−	4.14005i	0.173314	−	0.180173i
$529$	15.7498			0.684774
$530$	−1.42213	+	1.03324i	−0.0617732	+	0.0448809i
$531$	40.3987	+	20.0247i	1.75315	+	0.868997i
$532$	0.465420	−	1.43242i	0.0201785	−	0.0621031i
$533$	13.1238	−	18.0633i	0.568453	−	0.782409i
$534$	−13.0317	−	21.0042i	−0.563935	−	0.908941i
$535$	−67.3390	−	21.8798i	−2.91132	−	0.945945i
$536$	−3.83524	−	11.8037i	−0.165657	−	0.509841i
$537$	11.3568	−	2.79302i	0.490083	−	0.120528i
$538$		−	22.4625i		−	0.968428i
$539$	−2.11879	+	2.55162i	−0.0912626	+	0.109906i
$540$	−8.66561	−	19.9770i	−0.372908	−	0.859673i
$541$	−8.07713	−	11.1172i	−0.347263	−	0.477966i	0.599282	−	0.800538i	$-0.295453\pi$
$541$	−8.07713	−	11.1172i	−0.347263	−	0.477966i	−0.946545	+	0.322572i	$0.895453\pi$
$542$	−10.7641	+	3.49748i	−0.462359	+	0.150229i
$543$	−7.18948	−	6.07198i	−0.308530	−	0.260574i
$544$	3.28471	+	2.38648i	0.140831	+	0.102320i
$545$	41.3699	+	30.0570i	1.77209	+	1.28750i
$546$	−5.46153	−	4.61261i	−0.233732	−	0.197402i
$547$	8.30872	−	2.69967i	0.355255	−	0.115429i	−0.125952	−	0.992036i	$-0.540198\pi$
$547$	8.30872	−	2.69967i	0.355255	−	0.115429i	0.481207	+	0.876607i	$0.340198\pi$
$548$	7.87223	+	10.8352i	0.336285	+	0.462856i
$549$	4.17739	−	4.27080i	0.178287	−	0.182273i
$550$	−26.6161	+	32.0533i	−1.13491	+	1.36676i
$551$			8.35683i			0.356013i
$552$	4.52880	−	1.11378i	0.192759	−	0.0474058i
$553$	2.15390	+	6.62903i	0.0915932	+	0.281895i
$554$	19.7029	+	6.40185i	0.837095	+	0.271989i
$555$	5.84610	+	9.42265i	0.248153	+	0.399969i
$556$	8.34667	−	11.4882i	0.353978	−	0.487208i
$557$	2.19604	−	6.75870i	0.0930490	−	0.286375i	−0.893691	−	0.448682i	$-0.851893\pi$
$557$	2.19604	−	6.75870i	0.0930490	−	0.286375i	0.986740	+	0.162307i	$0.0518935\pi$
$558$	5.34504	−	10.7833i	0.226274	−	0.456495i
$559$	35.2337	−	25.5988i	1.49023	−	1.08271i
$560$	4.19070			0.177089
$561$	−16.1693	+	16.8091i	−0.682669	+	0.709682i
$562$	−25.7135			−1.08466
$563$	9.08894	−	6.60350i	0.383053	−	0.278304i	−0.379550	−	0.925171i	$-0.623921\pi$
$563$	9.08894	−	6.60350i	0.383053	−	0.278304i	0.762603	+	0.646867i	$0.223921\pi$
$564$	−0.379704	+	5.19134i	−0.0159884	+	0.218595i
$565$	22.9817	−	70.7304i	0.966848	−	2.97565i
$566$	6.13208	−	8.44008i	0.257751	−	0.354763i
$567$	−7.39634	−	5.12778i	−0.310617	−	0.215347i
$568$	0.0647181	+	0.0210282i	0.00271551	+	0.000882324i
$569$	5.93688	+	18.2718i	0.248887	+	0.765995i	0.994973	+	0.100146i	$0.0319308\pi$
$569$	5.93688	+	18.2718i	0.248887	+	0.765995i	−0.746086	+	0.665850i	$0.768069\pi$
$570$	−2.61081	−	10.6159i	−0.109355	−	0.444652i
$571$		−	30.9561i		−	1.29547i	−0.761865	−	0.647736i	$-0.775716\pi$
$571$		−	30.9561i		−	1.29547i	0.761865	−	0.647736i	$-0.224284\pi$
$572$	−3.37990	−	13.2650i	−0.141321	−	0.554636i
$573$	−10.0776	−	4.10915i	−0.420997	−	0.171662i
$574$	3.17973	+	4.37652i	0.132719	+	0.182672i
$575$	−32.1690	+	10.4524i	−1.34154	+	0.435893i
$576$	−2.65780	+	1.39144i	−0.110742	+	0.0579767i
$577$	−35.0979	−	25.5001i	−1.46115	−	1.06158i	−0.983063	−	0.183270i	$-0.941332\pi$
$577$	−35.0979	−	25.5001i	−1.46115	−	1.06158i	−0.478083	−	0.878314i	$-0.658668\pi$
$578$	0.416925	+	0.302914i	0.0173418	+	0.0125996i
$579$	9.59421	−	11.3599i	0.398722	−	0.472103i
$580$	−22.1142	+	7.18534i	−0.918242	+	0.298355i
$581$	0.914625	+	1.25887i	0.0379450	+	0.0522269i
$582$	−1.74740	+	4.28546i	−0.0724322	+	0.177638i
$583$	−1.17600	+	0.743285i	−0.0487049	+	0.0307837i
$584$			1.24316i			0.0514421i
$585$	−51.3369	−	7.55012i	−2.12252	−	0.312159i
$586$	7.94195	+	24.4428i	0.328079	+	1.00972i
$587$	18.6579	+	6.06233i	0.770095	+	0.250219i	0.667606	−	0.744515i	$-0.267319\pi$
$587$	18.6579	+	6.06233i	0.770095	+	0.250219i	0.102489	+	0.994734i	$0.467319\pi$
$588$	1.47179	−	0.913144i	0.0606956	−	0.0376574i
$589$	3.55156	−	4.88831i	0.146340	−	0.201419i
$590$	−19.4635	+	59.9025i	−0.801299	+	2.46615i
$591$	13.5371	+	0.990129i	0.556843	+	0.0407284i
$592$	1.23594	−	0.897965i	0.0507969	−	0.0369061i
$593$	−17.6377			−0.724291			−0.362146	−	0.932121i	$-0.617956\pi$
$593$	−17.6377			−0.724291			−0.362146	+	0.932121i	$0.617956\pi$
$594$	−5.82212	−	16.2204i	−0.238885	−	0.665533i
$595$	−17.0148			−0.697538
$596$	−10.0883	+	7.32960i	−0.413234	+	0.300232i
$597$	−8.26094	−	0.604219i	−0.338098	−	0.0247290i
$598$	3.43420	−	10.5694i	0.140435	−	0.432214i
$599$	11.4616	−	15.7756i	0.468310	−	0.644573i	−0.507896	−	0.861418i	$-0.669577\pi$
$599$	11.4616	−	15.7756i	0.468310	−	0.644573i	0.976206	+	0.216845i	$0.0695767\pi$
$600$	18.4886	−	11.4709i	0.754792	−	0.468296i
$601$	−9.63705	−	3.13127i	−0.393103	−	0.127727i	0.105794	−	0.994388i	$-0.466262\pi$
$601$	−9.63705	−	3.13127i	−0.393103	−	0.127727i	−0.498897	+	0.866661i	$0.666262\pi$
$602$	3.26073	+	10.0355i	0.132897	+	0.409016i
$603$	−36.8371	−	5.41763i	−1.50012	−	0.220623i
$604$		−	6.72154i		−	0.273496i
$605$	−31.6793	+	33.4876i	−1.28795	+	1.36146i
$606$	11.8817	−	29.1396i	0.482662	−	1.18372i
$607$	−8.00748	−	11.0214i	−0.325014	−	0.447343i	0.614976	−	0.788546i	$-0.289166\pi$
$607$	−8.00748	−	11.0214i	−0.325014	−	0.447343i	−0.939990	+	0.341203i	$0.889166\pi$
$608$	−1.43242	+	0.465420i	−0.0580922	+	0.0188753i
$609$	−6.20093	+	7.34216i	−0.251274	+	0.297519i
$610$	6.75147	+	4.90523i	0.273359	+	0.198607i
$611$	10.0347	+	7.29063i	0.405960	+	0.294947i
$612$	10.7910	−	5.64943i	0.436201	−	0.228365i
$613$	22.5270	−	7.31947i	0.909857	−	0.295631i	0.183558	−	0.983009i	$-0.441239\pi$
$613$	22.5270	−	7.31947i	0.909857	−	0.295631i	0.726300	+	0.687378i	$0.241239\pi$
$614$	11.4809	+	15.8022i	0.463333	+	0.637723i
$615$	36.3597	+	14.8257i	1.46616	+	0.597831i
$616$	3.30969	+	0.214333i	0.133351	+	0.00863574i
$617$		−	7.15606i		−	0.288092i	−0.989571	−	0.144046i	$-0.953989\pi$
$617$		−	7.15606i		−	0.288092i	0.989571	−	0.144046i	$-0.0460113\pi$
$618$	−7.02703	−	28.5729i	−0.282669	−	1.14937i
$619$	−5.77521	−	17.7743i	−0.232125	−	0.714409i	−0.997490	−	0.0708112i	$-0.977441\pi$
$619$	−5.77521	−	17.7743i	−0.232125	−	0.714409i	0.765364	−	0.643597i	$-0.222559\pi$
$620$	15.9893	+	5.19525i	0.642147	+	0.208646i
$621$	3.04013	−	13.6570i	0.121996	−	0.548035i
$622$	−4.18804	+	5.76435i	−0.167925	+	0.231129i
$623$	4.41004	−	13.5727i	0.176685	−	0.543779i
$624$	−0.521478	+	7.12969i	−0.0208758	+	0.285416i
$625$	−56.6254	+	41.1408i	−2.26502	+	1.64563i
$626$	23.7224			0.948137
$627$	−1.51899	−	8.51769i	−0.0606627	−	0.340164i
$628$	−17.0933			−0.682095
$629$	−5.01809	+	3.64585i	−0.200084	+	0.145370i
$630$	5.58341	−	11.2642i	0.222449	−	0.448778i
$631$	−14.3479	+	44.1584i	−0.571182	+	1.75792i	0.0776452	+	0.996981i	$0.475260\pi$
$631$	−14.3479	+	44.1584i	−0.571182	+	1.75792i	−0.648827	+	0.760936i	$0.724740\pi$
$632$	4.09697	−	5.63899i	0.162969	−	0.224307i
$633$	−9.86883	−	15.9064i	−0.392251	−	0.632223i
$634$	−22.1973	−	7.21233i	−0.881566	−	0.286438i
$635$	−3.00515	−	9.24889i	−0.119256	−	0.367031i
$636$	0.705510	−	0.173508i	0.0279753	−	0.00688005i
$637$		−	4.12733i		−	0.163531i
$638$	−17.8326	+	4.54374i	−0.706001	+	0.179888i
$639$	0.142748	−	0.145940i	0.00564703	−	0.00577330i
$640$	−2.46323	−	3.39035i	−0.0973677	−	0.134015i
$641$	29.4610	−	9.57245i	1.16364	−	0.378089i	0.337373	−	0.941371i	$-0.390462\pi$
$641$	29.4610	−	9.57245i	1.16364	−	0.378089i	0.826265	+	0.563282i	$0.190462\pi$
$642$	22.3573	+	18.8822i	0.882372	+	0.745220i
$643$	3.55086	+	2.57985i	0.140032	+	0.101739i	0.655596	−	0.755112i	$-0.272417\pi$
$643$	3.55086	+	2.57985i	0.140032	+	0.101739i	−0.515564	+	0.856851i	$0.672417\pi$
$644$	2.17837	+	1.58268i	0.0858400	+	0.0623664i
$645$	58.5146	+	49.4193i	2.30401	+	1.94588i
$646$	5.81580	−	1.88967i	0.228819	−	0.0743480i
$647$	−9.45461	−	13.0132i	−0.371699	−	0.511600i	0.581663	−	0.813430i	$-0.302402\pi$
$647$	−9.45461	−	13.0132i	−0.371699	−	0.511600i	−0.953362	+	0.301830i	$0.902402\pi$
$648$	0.198998	+	8.99780i	0.00781736	+	0.353467i
$649$	−18.4354	+	46.3138i	−0.723653	+	1.81797i
$650$		−	51.8473i		−	2.03362i
$651$	6.74756	−	1.65945i	0.264458	−	0.0650390i
$652$	−1.23407	−	3.79807i	−0.0483299	−	0.148744i
$653$	−6.83047	−	2.21935i	−0.267297	−	0.0868501i	0.172302	−	0.985044i	$-0.444879\pi$
$653$	−6.83047	−	2.21935i	−0.267297	−	0.0868501i	−0.439599	+	0.898194i	$0.644879\pi$
$654$	−11.1424	−	17.9592i	−0.435703	−	0.702260i
$655$	−27.2845	+	37.5539i	−1.06609	+	1.46735i
$656$	1.67168	−	5.14490i	0.0652682	−	0.200875i
$657$	3.34150	+	1.65630i	0.130364	+	0.0646184i
$658$	−2.43128	+	1.76643i	−0.0947813	+	0.0688626i
$659$	15.8415			0.617098			0.308549	−	0.951208i	$-0.400157\pi$
$659$	15.8415			0.617098			0.308549	+	0.951208i	$0.400157\pi$
$660$	21.2338	−	11.3433i	0.826525	−	0.441536i
$661$	41.7513			1.62394			0.811969	−	0.583700i	$-0.198396\pi$
$661$	41.7513			1.62394			0.811969	+	0.583700i	$0.198396\pi$
$662$	−11.3819	+	8.26947i	−0.442372	+	0.321402i
$663$	2.11727	−	28.9475i	0.0822278	−	1.12423i
$664$	0.480847	−	1.47989i	0.0186605	−	0.0574310i
$665$	3.70995	−	5.10631i	0.143866	−	0.198014i
$666$	−0.766963	−	4.51850i	−0.0297192	−	0.175088i
$667$	−14.2089	−	4.61674i	−0.550169	−	0.178761i
$668$	−0.929166	−	2.85968i	−0.0359505	−	0.110644i
$669$	4.96983	+	20.2080i	0.192145	+	0.781287i
$670$		−	52.0112i		−	2.00937i
$671$	5.08124	+	4.21931i	0.196159	+	0.162885i
$672$	−1.60385	−	0.653971i	−0.0618697	−	0.0252275i
$673$	15.4226	+	21.2273i	0.594496	+	0.818254i	0.995191	−	0.0979581i	$-0.0312311\pi$
$673$	15.4226	+	21.2273i	0.594496	+	0.818254i	−0.400694	+	0.916212i	$0.631231\pi$
$674$	15.5017	−	5.03682i	0.597105	−	0.194011i
$675$	−6.19977	−	64.9787i	−0.238629	−	2.50103i
$676$	3.26423	+	2.37161i	0.125547	+	0.0912156i
$677$	25.8481	+	18.7798i	0.993424	+	0.721765i	0.960668	−	0.277699i	$-0.0895717\pi$
$677$	25.8481	+	18.7798i	0.993424	+	0.721765i	0.0327555	+	0.999463i	$0.489572\pi$
$678$	−19.8332	+	23.4833i	−0.761688	+	0.901870i
$679$	−2.54121	+	0.825690i	−0.0975228	+	0.0316871i
$680$	10.0010	+	13.7652i	0.383522	+	0.527873i
$681$	6.58044	−	16.1384i	0.252163	−	0.618423i
$682$	12.3622	+	4.92083i	0.473373	+	0.188428i
$683$			18.6575i			0.713910i	0.934122	+	0.356955i	$0.116185\pi$
$683$			18.6575i			0.713910i	−0.934122	+	0.356955i	$0.883815\pi$
$684$	−0.657449	+	4.47031i	−0.0251382	+	0.170927i
$685$	17.3439	+	53.3792i	0.662678	+	2.03951i
$686$	0.951057	+	0.309017i	0.0363115	+	0.0117983i
$687$	−27.4599	+	17.0370i	−1.04766	+	0.650002i
$688$	6.20228	−	8.53670i	0.236460	−	0.325459i
$689$	0.534990	−	1.64653i	0.0203815	−	0.0627277i
$690$	19.4923	+	1.42570i	0.742059	+	0.0542755i
$691$	−17.0310	+	12.3737i	−0.647888	+	0.470718i	−0.862551	−	0.505970i	$-0.831135\pi$
$691$	−17.0310	+	12.3737i	−0.647888	+	0.470718i	0.214663	+	0.976688i	$0.431135\pi$
$692$	−3.02636			−0.115045
$693$	4.98573	−	8.61060i	0.189392	−	0.327090i
$694$	35.8556			1.36106
$695$	48.1436	−	34.9784i	1.82619	−	1.32680i
$696$	9.58474	+	0.701044i	0.363309	+	0.0265730i
$697$	−6.78724	+	20.8890i	−0.257085	+	0.791226i
$698$	−1.44482	+	1.98863i	−0.0546874	+	0.0752707i
$699$	17.1221	−	10.6231i	0.647618	−	0.401802i
$700$	11.9471	+	3.88186i	0.451559	+	0.146720i
$701$	−3.75507	−	11.5569i	−0.141827	−	0.436499i	0.854762	−	0.519020i	$-0.173703\pi$
$701$	−3.75507	−	11.5569i	−0.141827	−	0.436499i	−0.996589	+	0.0825207i	$0.973703\pi$
$702$	18.4692	+	10.9008i	0.697076	+	0.411425i
$703$		−	2.30093i		−	0.0867813i
$704$	−1.77199	−	2.80358i	−0.0667843	−	0.105664i
$705$	−8.23612	+	20.1989i	−0.310190	+	0.760733i
$706$	14.4066	+	19.8290i	0.542200	+	0.746274i
$707$	17.2794	−	5.61440i	0.649857	−	0.211151i
$708$	16.7969	−	19.8883i	0.631268	−	0.747447i
$709$	25.6080	+	18.6053i	0.961727	+	0.698736i	0.953551	−	0.301231i	$-0.0973975\pi$
$709$	25.6080	+	18.6053i	0.961727	+	0.698736i	0.00817578	+	0.999967i	$0.497398\pi$
$710$	0.230709	+	0.167620i	0.00865834	+	0.00629065i
$711$	−9.69859	−	18.5253i	−0.363726	−	0.694754i
$712$	−13.5727	+	4.41004i	−0.508659	+	0.165273i
$713$	6.34938	+	8.73917i	0.237786	+	0.327285i
$714$	6.51182	+	2.65521i	0.243699	+	0.0993686i
$715$	3.70719	−	57.2457i	0.138641	−	2.14087i
$716$		−	6.75224i		−	0.252343i
$717$	9.85305	+	40.0639i	0.367969	+	1.49621i
$718$	−4.80659	−	14.7932i	−0.179380	−	0.552076i
$719$	41.6468	+	13.5319i	1.55316	+	0.504654i	0.954971	−	0.296699i	$-0.0958857\pi$
$719$	41.6468	+	13.5319i	1.55316	+	0.504654i	0.598193	+	0.801352i	$0.295886\pi$
$720$	−12.3948	+	2.10388i	−0.461927	+	0.0784068i
$721$	9.98538	−	13.7437i	0.371875	−	0.511842i
$722$	5.17034	−	15.9127i	0.192420	−	0.592208i
$723$	0.390181	−	5.33459i	0.0145110	−	0.198395i
$724$	−4.39551	+	3.19353i	−0.163358	+	0.118687i
$725$	−69.7004			−2.58861
$726$	17.3500	−	7.87258i	0.643919	−	0.292179i
$727$	−4.16628			−0.154519			−0.0772593	−	0.997011i	$-0.524617\pi$
$727$	−4.16628			−0.154519			−0.0772593	+	0.997011i	$0.524617\pi$
$728$	−3.33908	+	2.42598i	−0.123754	+	0.0899128i
$729$	24.4504	+	11.4532i	0.905572	+	0.424192i
$730$	−1.60988	+	4.95471i	−0.0595844	+	0.183382i
$731$	−25.1820	+	34.6601i	−0.931391	+	1.28195i
$732$	−1.81842	−	2.93090i	−0.0672107	−	0.108329i
$733$	−2.53939	−	0.825097i	−0.0937945	−	0.0304757i	0.261744	−	0.965137i	$-0.415702\pi$
$733$	−2.53939	−	0.825097i	−0.0937945	−	0.0304757i	−0.355538	+	0.934662i	$0.615702\pi$
$734$	−1.34729	−	4.14654i	−0.0497295	−	0.153052i
$735$	7.04847	−	1.73346i	0.259987	−	0.0639395i
$736$		−	2.69262i		−	0.0992512i
$737$	2.66012	−	41.0770i	0.0979866	−	1.51309i
$738$	−11.6018	−	11.3481i	−0.427069	−	0.417728i
$739$	−8.89950	−	12.2491i	−0.327373	−	0.450591i	0.613327	−	0.789829i	$-0.289831\pi$
$739$	−8.89950	−	12.2491i	−0.327373	−	0.450591i	−0.940701	+	0.339238i	$0.889831\pi$
$740$	6.08883	−	1.97838i	0.223830	−	0.0727267i
$741$	8.22578	+	6.94720i	0.302181	+	0.255212i
$742$	0.339353	+	0.246554i	0.0124580	+	0.00905130i
$743$	−19.3344	−	14.0473i	−0.709312	−	0.515345i	0.173640	−	0.984809i	$-0.444447\pi$
$743$	−19.3344	−	14.0473i	−0.709312	−	0.515345i	−0.882952	+	0.469464i	$0.844447\pi$
$744$	−5.30864	−	4.48349i	−0.194624	−	0.164373i
$745$	−49.6998	+	16.1484i	−1.82086	+	0.591633i
$746$	1.54525	+	2.12685i	0.0565755	+	0.0778695i
$747$	−3.33718	−	3.26419i	−0.122101	−	0.119430i
$748$	7.19450	+	11.3829i	0.263057	+	0.416200i
$749$			16.8956i			0.617352i
$750$	53.3002	−	13.1083i	1.94625	−	0.478648i
$751$	−14.8297	−	45.6412i	−0.541144	−	1.66547i	−0.729986	−	0.683462i	$-0.760473\pi$
$751$	−14.8297	−	45.6412i	−0.541144	−	1.66547i	0.188842	−	0.982007i	$-0.439527\pi$
$752$	2.85814	+	0.928667i	0.104226	+	0.0338650i
$753$	7.45107	+	12.0095i	0.271532	+	0.437651i
$754$	13.4606	−	18.5270i	0.490208	−	0.674713i
$755$	8.70438	−	26.7893i	0.316785	−	0.974963i
$756$	−3.89468	+	3.43969i	−0.141648	+	0.125100i
$757$	−39.9020	+	28.9905i	−1.45026	+	1.05368i	−0.464495	+	0.885576i	$0.653764\pi$
$757$	−39.9020	+	28.9905i	−1.45026	+	1.05368i	−0.985769	+	0.168103i	$0.946236\pi$
$758$	13.0396			0.473621
$759$	15.3215	+	2.12291i	0.556137	+	0.0770568i
$760$	−6.31174			−0.228951
$761$	−13.9158	+	10.1104i	−0.504446	+	0.366501i	−0.810713	−	0.585444i	$-0.800920\pi$
$761$	−13.9158	+	10.1104i	−0.504446	+	0.366501i	0.306267	+	0.951946i	$0.400920\pi$
$762$	−0.293200	+	4.00866i	−0.0106215	+	0.145218i
$763$	3.77071	−	11.6050i	0.136509	−	0.420131i
$764$	−3.69328	+	5.08336i	−0.133618	+	0.183910i
$765$	50.3245	−	8.54201i	1.81949	−	0.308837i
$766$	−6.69587	−	2.17562i	−0.241932	−	0.0786083i
$767$	−19.1692	−	58.9966i	−0.692158	−	2.13024i
$768$	0.413643	+	1.68193i	0.0149261	+	0.0606915i
$769$		−	37.8045i		−	1.36327i	−0.731694	−	0.681633i	$-0.761270\pi$
$769$		−	37.8045i		−	1.36327i	0.731694	−	0.681633i	$-0.238730\pi$
$770$	12.9135	+	5.14029i	0.465371	+	0.185243i
$771$	−22.8403	−	9.31319i	−0.822575	−	0.335406i
$772$	−5.04603	−	6.94526i	−0.181611	−	0.249965i
$773$	34.8172	−	11.3128i	1.25229	−	0.406893i	0.393547	−	0.919304i	$-0.371248\pi$
$773$	34.8172	−	11.3128i	1.25229	−	0.406893i	0.858740	+	0.512412i	$0.171248\pi$
$774$	−14.6824	−	28.0449i	−0.527748	−	1.00805i
$775$	40.7711	+	29.6219i	1.46454	+	1.06405i
$776$	2.16169	+	1.57056i	0.0776000	+	0.0563797i
$777$	1.70734	−	2.02156i	0.0612503	−	0.0725230i
$778$	−14.9751	+	4.86570i	−0.536883	+	0.174444i
$779$	−4.78909	−	6.59161i	−0.171587	−	0.236169i
$780$	−11.3113	+	27.7407i	−0.405010	+	0.993277i
$781$	0.173634	+	0.144181i	0.00621311	+	0.00515919i
$782$			10.9324i			0.390941i
$783$	14.6544	−	24.8289i	0.523707	−	0.887314i
$784$	−0.309017	−	0.951057i	−0.0110363	−	0.0339663i
$785$	−68.1268	−	22.1357i	−2.43155	−	0.790058i
$786$	16.3026	−	10.1146i	0.581495	−	0.360777i
$787$	2.21398	−	3.04729i	0.0789200	−	0.108624i	−0.767732	−	0.640771i	$-0.778615\pi$
$787$	2.21398	−	3.04729i	0.0789200	−	0.108624i	0.846652	+	0.532147i	$0.178615\pi$
$788$	2.42163	−	7.45300i	0.0862669	−	0.265502i
$789$	9.23953	+	0.675795i	0.328936	+	0.0240589i
$790$	23.6313	−	17.1691i	0.840764	−	0.610851i
$791$	−17.7465			−0.630994
$792$	−9.89666	+	1.02765i	−0.351663	+	0.0365159i
$793$	−8.21908			−0.291868
$794$	−16.2946	+	11.8387i	−0.578275	+	0.420141i
$795$	3.03657	+	0.222099i	0.107696	+	0.00787706i
$796$	−1.47778	+	4.54814i	−0.0523785	+	0.161204i
$797$	−2.67283	+	3.67883i	−0.0946765	+	0.130311i	−0.853727	−	0.520720i	$-0.825663\pi$
$797$	−2.67283	+	3.67883i	−0.0946765	+	0.130311i	0.759051	+	0.651031i	$0.225663\pi$
$798$	−2.21671	+	1.37532i	−0.0784707	+	0.0486856i
$799$	−11.6044	−	3.77051i	−0.410535	−	0.133391i
$800$	−3.88186	−	11.9471i	−0.137244	−	0.422395i
$801$	−6.22958	+	42.3579i	−0.220112	+	1.49664i
$802$		−	15.5334i		−	0.548504i
$803$	−1.52485	+	3.83075i	−0.0538107	+	0.135184i
$804$	−8.11650	+	19.9055i	−0.286247	+	0.702013i
$805$	6.63254	+	9.12891i	0.233766	+	0.321752i
$806$	−15.7475	+	5.11669i	−0.554684	+	0.180228i
$807$	−25.1037	+	29.7238i	−0.883690	+	1.04633i
$808$	−14.6987	−	10.6792i	−0.517098	−	0.375694i
$809$	23.9797	+	17.4222i	0.843080	+	0.612534i	0.923229	−	0.384249i	$-0.125540\pi$
$809$	23.9797	+	17.4222i	0.843080	+	0.612534i	−0.0801492	+	0.996783i	$0.525540\pi$
$810$	−10.8590	+	36.1192i	−0.381546	+	1.26910i
$811$	−47.3959	+	15.3998i	−1.66429	+	0.540762i	−0.981765	−	0.190097i	$-0.939120\pi$
$811$	−47.3959	+	15.3998i	−1.66429	+	0.540762i	−0.682528	+	0.730859i	$0.739120\pi$
$812$	3.26135	+	4.48886i	0.114451	+	0.157528i
$813$	18.1524	+	7.40169i	0.636634	+	0.259589i
$814$	4.90996	−	1.25105i	0.172094	−	0.0438494i
$815$		−	16.7357i		−	0.586225i
$816$	−1.67945	−	6.82887i	−0.0587924	−	0.239058i
$817$	−4.91109	−	15.1148i	−0.171817	−	0.528799i
$818$	−31.5787	−	10.2605i	−1.10412	−	0.358751i
$819$	2.07206	+	12.2074i	0.0724036	+	0.426560i
$820$	13.3253	−	18.3407i	0.465339	−	0.640484i
$821$	3.68875	−	11.3528i	0.128738	−	0.396216i	−0.865825	−	0.500346i	$-0.833206\pi$
$821$	3.68875	−	11.3528i	0.128738	−	0.396216i	0.994564	+	0.104131i	$0.0332060\pi$
$822$	1.69218	−	23.1356i	0.0590215	−	0.806947i
$823$	−13.3700	+	9.71390i	−0.466050	+	0.338605i	−0.795900	−	0.605428i	$-0.793002\pi$
$823$	−13.3700	+	9.71390i	−0.466050	+	0.338605i	0.329850	+	0.944033i	$0.393002\pi$
$824$	−16.9881			−0.591810
$825$	71.0421	−	12.6692i	2.47337	−	0.441085i
$826$	15.0298			0.522952
$827$	−11.4492	+	8.31831i	−0.398127	+	0.289256i	−0.768777	−	0.639516i	$-0.779135\pi$
$827$	−11.4492	+	8.31831i	−0.398127	+	0.289256i	0.370651	+	0.928772i	$0.379135\pi$
$828$	−7.23753	−	3.58747i	−0.251521	−	0.124673i
$829$	−4.22611	+	13.0066i	−0.146779	+	0.451739i	−0.997235	−	0.0743061i	$-0.976326\pi$
$829$	−4.22611	+	13.0066i	−0.146779	+	0.451739i	0.850456	+	0.526045i	$0.176326\pi$
$830$	3.83292	−	5.27556i	0.133042	−	0.183117i
$831$	−18.9175	−	30.4908i	−0.656239	−	1.05772i
$832$	3.92532	+	1.27541i	0.136086	+	0.0442170i
$833$	1.25465	+	3.86141i	0.0434710	+	0.133790i
$834$	−23.8838	+	5.87382i	−0.827028	+	0.203394i
$835$		−	12.6008i		−	0.436068i
$836$	−4.98483	−	0.322814i	−0.172404	−	0.0111648i
$837$	−19.1241	+	8.29565i	−0.661026	+	0.286740i
$838$	−1.54049	−	2.12030i	−0.0532152	−	0.0732445i
$839$	−14.0392	+	4.56163i	−0.484688	+	0.157485i	−0.541160	−	0.840919i	$-0.682015\pi$
$839$	−14.0392	+	4.56163i	−0.484688	+	0.157485i	0.0564720	+	0.998404i	$0.482015\pi$
$840$	−5.54538	−	4.68344i	−0.191334	−	0.161594i
$841$	−1.44510	−	1.04993i	−0.0498310	−	0.0362043i
$842$	10.5287	+	7.64958i	0.362845	+	0.263622i
$843$	34.0256	+	28.7368i	1.17190	+	0.989750i
$844$	−10.2786	+	3.33971i	−0.353803	+	0.114958i
$845$	9.93868	+	13.6794i	0.341901	+	0.470586i
$846$	6.30418	−	6.44515i	0.216742	−	0.221589i
$847$	9.93582	+	4.72011i	0.341399	+	0.162185i
$848$		−	0.419464i		−	0.0144044i
$849$	−17.5468	+	4.31534i	−0.602205	+	0.148102i
$850$	15.7608	+	48.5069i	0.540592	+	1.66377i
$851$	3.91221	+	1.27115i	0.134109	+	0.0435746i
$852$	−0.0621383	−	0.100153i	−0.00212882	−	0.00343120i
$853$	−19.4965	+	26.8347i	−0.667548	+	0.918801i	−0.999702	−	0.0244241i	$-0.992225\pi$
$853$	−19.4965	+	26.8347i	−0.667548	+	0.918801i	0.332154	+	0.943225i	$0.392225\pi$
$854$	0.615371	−	1.89392i	0.0210575	−	0.0648085i
$855$	−8.40936	+	16.9654i	−0.287594	+	0.580205i
$856$	13.6688	−	9.93099i	0.467191	−	0.339434i
$857$	22.5728			0.771071			0.385536	−	0.922693i	$-0.374017\pi$
$857$	22.5728			0.771071			0.385536	+	0.922693i	$0.374017\pi$
$858$	−10.3522	+	21.3303i	−0.353417	+	0.728204i
$859$	−34.3695			−1.17267			−0.586337	−	0.810067i	$-0.699430\pi$
$859$	−34.3695			−1.17267			−0.586337	+	0.810067i	$0.699430\pi$
$860$	35.7747	−	25.9919i	1.21991	−	0.886315i
$861$	0.683499	−	9.34486i	0.0232936	−	0.318472i
$862$	3.56009	−	10.9568i	0.121257	−	0.373191i
$863$	−5.88243	+	8.09647i	−0.200240	+	0.275607i	−0.897314	−	0.441392i	$-0.854485\pi$
$863$	−5.88243	+	8.09647i	−0.200240	+	0.275607i	0.697074	+	0.716999i	$0.254485\pi$
$864$	5.07200	+	1.12906i	0.172553	+	0.0384114i
$865$	−12.0618	−	3.91912i	−0.410114	−	0.133254i
$866$	1.09645	+	3.37452i	0.0372588	+	0.114671i
$867$	−0.213170	−	0.866781i	−0.00723965	−	0.0294374i
$868$		−	4.01179i		−	0.136169i
$869$	19.5414	−	12.3511i	0.662898	−	0.418981i
$870$	37.2930	+	15.2063i	1.26435	+	0.515541i
$871$	30.1091	+	41.4416i	1.02021	+	1.40420i
$872$	−11.6050	+	3.77071i	−0.392996	+	0.127692i
$873$	7.10161	−	3.71792i	0.240353	−	0.125832i
$874$	−3.28092	−	2.38373i	−0.110979	−	0.0806308i
$875$	25.6376	+	18.6268i	0.866710	+	0.629702i
$876$	1.38932	−	1.64502i	0.0469409	−	0.0555800i
$877$	−0.345540	+	0.112273i	−0.0116681	+	0.00379118i	−0.314845	−	0.949143i	$-0.601953\pi$
$877$	−0.345540	+	0.112273i	−0.0116681	+	0.00379118i	0.303177	+	0.952934i	$0.401953\pi$
$878$	−4.37326	−	6.01928i	−0.147591	−	0.203141i
$879$	16.8075	−	41.2199i	0.566903	−	1.39031i
$880$	−3.43180	−	13.4686i	−0.115686	−	0.454028i
$881$			8.33296i			0.280744i	0.990099	+	0.140372i	$0.0448299\pi$
$881$			8.33296i			0.280744i	−0.990099	+	0.140372i	$0.955170\pi$
$882$	−2.96807	−	0.436515i	−0.0999402	−	0.0146982i
$883$	−15.8175	−	48.6813i	−0.532301	−	1.63825i	−0.749409	−	0.662107i	$-0.769662\pi$
$883$	−15.8175	−	48.6813i	−0.532301	−	1.63825i	0.217108	−	0.976148i	$-0.430338\pi$
$884$	−15.9373	−	5.17834i	−0.536030	−	0.174167i
$885$	92.7010	−	57.5146i	3.11611	−	1.93333i
$886$	−2.34293	+	3.22477i	−0.0787123	+	0.108338i
$887$	−3.85465	+	11.8634i	−0.129426	+	0.398334i	−0.994682	−	0.102998i	$-0.967156\pi$
$887$	−3.85465	+	11.8634i	−0.129426	+	0.398334i	0.865255	+	0.501332i	$0.167156\pi$
$888$	−2.63902	−	0.193022i	−0.0885597	−	0.00647741i
$889$	−1.87739	+	1.36400i	−0.0629656	+	0.0457472i
$890$	−59.8062			−2.00471
$891$	−10.4234	+	27.9706i	−0.349199	+	0.937049i
$892$	12.0148			0.402284
$893$	3.66183	−	2.66048i	0.122539	−	0.0890295i
$894$	21.5409	+	1.57554i	0.720436	+	0.0526939i
$895$	8.74414	−	26.9117i	0.292284	−	0.899558i
$896$	−0.587785	+	0.809017i	−0.0196365	+	0.0270274i
$897$	−16.3565	+	10.1481i	−0.546127	+	0.338834i
$898$	34.8375	+	11.3194i	1.16254	+	0.377733i
$899$	6.87858	+	21.1701i	0.229413	+	0.706062i
$900$	−37.2848	−	5.48348i	−1.24283	−	0.182783i
$901$			1.70308i			0.0567377i
$902$	11.4619	−	13.8034i	0.381641	−	0.459603i
$903$	6.90066	−	16.9237i	0.229640	−	0.563185i
$904$	10.4312	+	14.3572i	0.346935	+	0.477515i
$905$	−21.6543	+	7.03592i	−0.719814	+	0.233882i
$906$	−7.51185	+	8.89435i	−0.249565	+	0.295495i
$907$	6.65238	+	4.83323i	0.220888	+	0.160485i	0.692727	−	0.721200i	$-0.256409\pi$
$907$	6.65238	+	4.83323i	0.220888	+	0.160485i	−0.471838	+	0.881685i	$0.656409\pi$
$908$	−8.14056	−	5.91446i	−0.270154	−	0.196278i
$909$	−48.2884	+	25.2805i	−1.60163	+	0.838502i
$910$	−16.4498	+	5.34487i	−0.545307	+	0.177181i
$911$	1.07282	+	1.47661i	0.0355440	+	0.0489222i	0.826419	−	0.563055i	$-0.190374\pi$
$911$	1.07282	+	1.47661i	0.0355440	+	0.0489222i	−0.790875	+	0.611978i	$0.790374\pi$
$912$	2.41560	+	0.984966i	0.0799886	+	0.0326155i
$913$	3.29694	−	3.97045i	0.109113	−	0.131403i
$914$			16.6213i			0.549785i
$915$	−3.45197	−	14.0362i	−0.114119	−	0.464022i
$916$	5.76549	+	17.7443i	0.190497	+	0.586290i
$917$	10.5346	+	3.42289i	0.347883	+	0.113034i
$918$	−20.5930	−	4.58413i	−0.679670	−	0.151299i
$919$	−2.72345	+	3.74851i	−0.0898384	+	0.123652i	−0.851570	−	0.524240i	$-0.824349\pi$
$919$	−2.72345	+	3.74851i	−0.0898384	+	0.123652i	0.761732	+	0.647892i	$0.224349\pi$
$920$	3.48693	−	10.7317i	0.114961	−	0.353813i
$921$	2.46789	−	33.7412i	0.0813197	−	1.11181i
$922$	−22.3999	+	16.2745i	−0.737700	+	0.535971i
$923$	−0.280859			−0.00924459
$924$	−4.14005	−	3.98246i	−0.136198	−	0.131013i
$925$	19.1910			0.630997
$926$	−15.7210	+	11.4220i	−0.516625	+	0.375350i
$927$	−22.6339	+	45.6627i	−0.743395	+	1.49976i
$928$	1.71459	−	5.27697i	0.0562842	−	0.173225i
$929$	−16.1523	+	22.2318i	−0.529941	+	0.729402i	−0.987121	−	0.159972i	$-0.948859\pi$
$929$	−16.1523	+	22.2318i	−0.529941	+	0.729402i	0.457180	+	0.889374i	$0.348859\pi$
$930$	−15.3520	−	24.7440i	−0.503410	−	0.811388i
$931$	−1.43242	−	0.465420i	−0.0469456	−	0.0152535i
$932$	−3.59496	−	11.0641i	−0.117757	−	0.362418i
$933$	11.9840	−	2.94726i	0.392338	−	0.0964890i
$934$			34.2107i			1.11941i
$935$	13.9335	+	54.6844i	0.455675	+	1.78837i
$936$	8.65804	−	8.85164i	0.282997	−	0.289325i
$937$	4.66929	+	6.42673i	0.152539	+	0.209952i	0.878447	−	0.477840i	$-0.158580\pi$
$937$	4.66929	+	6.42673i	0.152539	+	0.209952i	−0.725908	+	0.687792i	$0.758580\pi$
$938$	−11.8037	+	3.83524i	−0.385403	+	0.125225i
$939$	−31.3909	−	26.5116i	−1.02440	−	0.865174i
$940$	10.1888	+	7.40258i	0.332321	+	0.241445i
$941$	22.3946	+	16.2706i	0.730042	+	0.530406i	0.889577	−	0.456786i	$-0.150999\pi$
$941$	22.3946	+	16.2706i	0.730042	+	0.530406i	−0.159535	+	0.987192i	$0.550999\pi$
$942$	22.6188	+	19.1031i	0.736961	+	0.622412i
$943$	13.8533	−	4.50120i	0.451124	−	0.146579i
$944$	−8.83427	−	12.1593i	−0.287531	−	0.395752i
$945$	−19.9770	+	8.66561i	−0.649851	+	0.281892i
$946$	29.5832	−	18.6979i	0.961833	−	0.607922i
$947$			51.9667i			1.68869i	0.535799	+	0.844346i	$0.320010\pi$
$947$			51.9667i			1.68869i	−0.535799	+	0.844346i	$0.679990\pi$
$948$	−11.7234	+	2.88317i	−0.380757	+	0.0936409i
$949$	−1.58554	−	4.87978i	−0.0514687	−	0.158404i
$950$	−17.9939	−	5.84659i	−0.583801	−	0.189688i
$951$	21.3124	+	34.3510i	0.691102	+	1.11391i
$952$	2.38648	−	3.28471i	0.0773464	−	0.106458i
$953$	−6.00010	+	18.4664i	−0.194362	+	0.598185i	0.805621	+	0.592431i	$0.201832\pi$
$953$	−6.00010	+	18.4664i	−0.194362	+	0.598185i	−0.999983	+	0.00575437i	$0.998168\pi$
$954$	−1.12748	−	0.558866i	−0.0365036	−	0.0180940i
$955$	−21.3028	+	15.4774i	−0.689344	+	0.500837i
$956$	23.8202			0.770399
$957$	28.6752	+	13.9168i	0.926938	+	0.449867i
$958$	33.9400			1.09655
$959$	10.8352	−	7.87223i	0.349887	−	0.254207i
$960$	−0.529485	+	7.23916i	−0.0170890	+	0.233643i
$961$	−4.60607	+	14.1760i	−0.148583	+	0.457292i
$962$	−3.70619	+	5.10114i	−0.119493	+	0.164467i
$963$	−8.48219	−	49.9721i	−0.273335	−	1.61033i
$964$	−2.93701	−	0.954292i	−0.0945946	−	0.0307357i
$965$	−11.1173	−	34.2156i	−0.357879	−	1.10144i
$966$	−1.11378	−	4.52880i	−0.0358354	−	0.145712i
$967$			14.1411i			0.454747i	0.973808	+	0.227373i	$0.0730137\pi$
$967$			14.1411i			0.454747i	−0.973808	+	0.227373i	$0.926986\pi$
$968$	−2.02148	−	10.8127i	−0.0649728	−	0.347532i
$969$	−9.80766	−	3.99909i	−0.315068	−	0.128469i
$970$	6.58173	+	9.05897i	0.211327	+	0.290866i
$971$	41.8198	−	13.5881i	1.34206	−	0.436062i	0.452046	−	0.891994i	$-0.350694\pi$
$971$	41.8198	−	13.5881i	1.34206	−	0.436062i	0.890014	+	0.455933i	$0.150694\pi$
$972$	9.79243	−	12.1288i	0.314092	−	0.389032i
$973$	−11.4882	−	8.34667i	−0.368295	−	0.267582i
$974$	25.8511	+	18.7819i	0.828322	+	0.601811i
$975$	−57.9434	+	68.6074i	−1.85567	+	2.19720i
$976$	−1.89392	+	0.615371i	−0.0606228	+	0.0196975i
$977$	−17.7797	−	24.4717i	−0.568823	−	0.782918i	0.423592	−	0.905853i	$-0.360769\pi$
$977$	−17.7797	−	24.4717i	−0.568823	−	0.782918i	−0.992415	+	0.122936i	$0.960769\pi$
$978$	−2.61165	+	6.40501i	−0.0835114	+	0.204810i
$979$	−47.2332	−	3.05879i	−1.50958	−	0.0977594i
$980$		−	4.19070i		−	0.133867i
$981$	−5.32647	+	36.2172i	−0.170061	+	1.15633i
$982$	9.78084	+	30.1023i	0.312119	+	0.960604i
$983$	−11.5132	−	3.74087i	−0.367214	−	0.119315i	0.119597	−	0.992823i	$-0.461840\pi$
$983$	−11.5132	−	3.74087i	−0.367214	−	0.119315i	−0.486811	+	0.873507i	$0.661840\pi$
$984$	−7.96190	+	4.93981i	−0.253816	+	0.157475i
$985$	19.3032	−	26.5686i	0.615052	−	0.846546i
$986$	−6.96146	+	21.4252i	−0.221698	+	0.682317i
$987$	5.19134	+	0.379704i	0.165242	+	0.0120861i
$988$	5.02909	−	3.65385i	0.159997	−	0.116244i
$989$	28.4123			0.903460
$990$	−40.7749	−	8.72037i	−1.29591	−	0.277151i
$991$	−40.3957			−1.28321			−0.641605	−	0.767035i	$-0.721731\pi$
$991$	−40.3957			−1.28321			−0.641605	+	0.767035i	$0.721731\pi$
$992$	−3.24560	+	2.35807i	−0.103048	+	0.0748688i
$993$	24.3031	+	1.77757i	0.771234	+	0.0564094i
$994$	0.0210282	−	0.0647181i	0.000666974	−	0.00205273i
$995$	−11.7796	+	16.2133i	−0.373440	+	0.513996i
$996$	−2.29018	+	1.42090i	−0.0725672	+	0.0450230i
$997$	4.09784	+	1.33147i	0.129780	+	0.0421680i	0.373187	−	0.927756i	$-0.378265\pi$
$997$	4.09784	+	1.33147i	0.129780	+	0.0421680i	−0.243407	+	0.969924i	$0.578265\pi$
$998$	5.99036	+	18.4364i	0.189622	+	0.583596i
$999$	−4.03489	+	6.83629i	−0.127658	+	0.216291i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	462.2.w.a.239.12	yes	48
3.2	odd	2		462.2.w.b.239.4	yes	48
11.7	odd	10		462.2.w.b.29.4	yes	48
33.29	even	10	inner	462.2.w.a.29.12	✓	48

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
462.2.w.a.29.12	✓	48	33.29	even	10	inner
462.2.w.a.239.12	yes	48	1.1	even	1	trivial
462.2.w.b.29.4	yes	48	11.7	odd	10
462.2.w.b.239.4	yes	48	3.2	odd	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(-0.809017 + 0.587785i) q^{2} +(1.72744 + 0.126348i) q^{3} +(0.309017 - 0.951057i) q^{4} +(2.46323 - 3.39035i) q^{5} +(-1.47179 + 0.913144i) q^{6} +(-0.951057 - 0.309017i) q^{7} +(0.309017 + 0.951057i) q^{8} +(2.96807 + 0.436515i) q^{9} +O(q^{10})\)	\(q+(-0.809017 + 0.587785i) q^{2} +(1.72744 + 0.126348i) q^{3} +(0.309017 - 0.951057i) q^{4} +(2.46323 - 3.39035i) q^{5} +(-1.47179 + 0.913144i) q^{6} +(-0.951057 - 0.309017i) q^{7} +(0.309017 + 0.951057i) q^{8} +(2.96807 + 0.436515i) q^{9} +4.19070i q^{10} +(-0.214333 + 3.30969i) q^{11} +(0.653971 - 1.60385i) q^{12} +(-2.42598 - 3.33908i) q^{13} +(0.951057 - 0.309017i) q^{14} +(4.68344 - 5.54538i) q^{15} +(-0.809017 - 0.587785i) q^{16} +(3.28471 + 2.38648i) q^{17} +(-2.65780 + 1.39144i) q^{18} +(-1.43242 + 0.465420i) q^{19} +(-2.46323 - 3.39035i) q^{20} +(-1.60385 - 0.653971i) q^{21} +(-1.77199 - 2.80358i) q^{22} -2.69262i q^{23} +(0.413643 + 1.68193i) q^{24} +(-3.88186 - 11.9471i) q^{25} +(3.92532 + 1.27541i) q^{26} +(5.07200 + 1.12906i) q^{27} +(-0.587785 + 0.809017i) q^{28} +(1.71459 - 5.27697i) q^{29} +(-0.529485 + 7.23916i) q^{30} +(-3.24560 + 2.35807i) q^{31} +1.00000 q^{32} +(-0.788419 + 5.69020i) q^{33} -4.06013 q^{34} +(-3.39035 + 2.46323i) q^{35} +(1.33234 - 2.68791i) q^{36} +(-0.472088 + 1.45294i) q^{37} +(0.885282 - 1.21849i) q^{38} +(-3.76884 - 6.07456i) q^{39} +(3.98559 + 1.29500i) q^{40} +(1.67168 + 5.14490i) q^{41} +(1.68193 - 0.413643i) q^{42} +10.5519i q^{43} +(3.08147 + 1.22659i) q^{44} +(8.79098 - 8.98756i) q^{45} +(1.58268 + 2.17837i) q^{46} +(-2.85814 + 0.928667i) q^{47} +(-1.32326 - 1.11758i) q^{48} +(0.809017 + 0.587785i) q^{49} +(10.1628 + 7.38373i) q^{50} +(5.37261 + 4.53752i) q^{51} +(-3.92532 + 1.27541i) q^{52} +(0.246554 + 0.339353i) q^{53} +(-4.76698 + 2.06782i) q^{54} +(10.6930 + 8.87920i) q^{55} -1.00000i q^{56} +(-2.53321 + 0.623002i) q^{57} +(1.71459 + 5.27697i) q^{58} +(14.2941 + 4.64445i) q^{59} +(-3.82671 - 6.16783i) q^{60} +(1.17050 - 1.61106i) q^{61} +(1.23971 - 3.81544i) q^{62} +(-2.68791 - 1.33234i) q^{63} +(-0.809017 + 0.587785i) q^{64} -17.2964 q^{65} +(-2.70677 - 5.06689i) q^{66} -12.4111 q^{67} +(3.28471 - 2.38648i) q^{68} +(0.340206 - 4.65133i) q^{69} +(1.29500 - 3.98559i) q^{70} +(0.0399980 - 0.0550525i) q^{71} +(0.502035 + 2.95770i) q^{72} +(1.18231 + 0.384156i) q^{73} +(-0.472088 - 1.45294i) q^{74} +(-5.19617 - 21.1284i) q^{75} +1.50613i q^{76} +(1.22659 - 3.08147i) q^{77} +(6.61959 + 2.69915i) q^{78} +(-4.09697 - 5.63899i) q^{79} +(-3.98559 + 1.29500i) q^{80} +(8.61891 + 2.59122i) q^{81} +(-4.37652 - 3.17973i) q^{82} +(-1.25887 - 0.914625i) q^{83} +(-1.11758 + 1.32326i) q^{84} +(16.1820 - 5.25786i) q^{85} +(-6.20228 - 8.53670i) q^{86} +(3.62858 - 8.89900i) q^{87} +(-3.21394 + 0.818908i) q^{88} +14.2712i q^{89} +(-1.82930 + 12.4383i) q^{90} +(1.27541 + 3.92532i) q^{91} +(-2.56083 - 0.832065i) q^{92} +(-5.90451 + 3.66334i) q^{93} +(1.76643 - 2.43128i) q^{94} +(-1.95044 + 6.00283i) q^{95} +(1.72744 + 0.126348i) q^{96} +(2.16169 - 1.57056i) q^{97} -1.00000 q^{98} +(-2.08089 + 9.72985i) 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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