LMFDB - Embedded newform 462.2.w.a.29.12

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			29.12
Character	$\chi$	$=$	462.29
Dual form			462.2.w.a.239.12

$q$-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 $\left(\mathbb{Z}/462\mathbb{Z}\right)^\times$.

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

Coefficient data

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

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

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

$2$	−0.809017	−	0.587785i	−0.572061	−	0.415627i
$2$	−0.809017	−	0.587785i	−0.572061	−	0.415627i
$3$	1.72744	−	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	0.833260	+	0.552882i	$0.186472\pi$
$5$	2.46323	+	3.39035i	1.10159	+	1.51621i	0.268331	+	0.963327i	$0.413528\pi$
$6$	−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	−0.999821	−	0.0189400i	$-0.993971\pi$
$13$	−2.42598	+	3.33908i	−0.672846	+	0.926093i	0.326975	+	0.945033i	$0.393971\pi$
$14$	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	−0.113272	−	0.993564i	$-0.536133\pi$
$17$	3.28471	−	2.38648i	0.796660	−	0.578807i	0.909932	+	0.414757i	$0.136133\pi$
$18$	−2.65780	−	1.39144i	−0.626449	−	0.327966i
$19$	−1.43242	−	0.465420i	−0.328619	−	0.106775i	0.140061	−	0.990143i	$-0.455270\pi$
$19$	−1.43242	−	0.465420i	−0.328619	−	0.106775i	−0.468680	+	0.883368i	$0.655270\pi$
$20$	−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	$0.0905748\pi$
$23$			2.69262i			0.561450i	−0.959788	+	0.280725i	$0.909425\pi$
$24$	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	0.974336	+	0.225099i	$0.0722707\pi$
$29$	1.71459	+	5.27697i	0.318392	+	0.979909i	−0.655944	+	0.754809i	$0.727729\pi$
$30$	−0.529485	−	7.23916i	−0.0966702	−	1.32168i
$31$	−3.24560	−	2.35807i	−0.582928	−	0.423522i	0.256851	−	0.966451i	$-0.417315\pi$
$31$	−3.24560	−	2.35807i	−0.582928	−	0.423522i	−0.839778	+	0.542929i	$0.817315\pi$
$32$	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	0.904722	−	0.426002i	$-0.140078\pi$
$37$	−0.472088	−	1.45294i	−0.0776108	−	0.238862i	−0.982333	+	0.187140i	$0.940078\pi$
$38$	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	−0.731500	−	0.681842i	$-0.761179\pi$
$41$	1.67168	−	5.14490i	0.261073	−	0.803499i	0.992572	−	0.121657i	$-0.0388208\pi$
$42$	1.68193	+	0.413643i	0.259528	+	0.0638266i
$43$		−	10.5519i		−	1.60916i	−0.593847	−	0.804578i	$-0.702392\pi$
$43$		−	10.5519i		−	1.60916i	0.593847	−	0.804578i	$-0.297608\pi$
$44$	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	0.0930516	−	0.995661i	$-0.470338\pi$
$47$	−2.85814	−	0.928667i	−0.416903	−	0.135460i	−0.509955	+	0.860201i	$0.670338\pi$
$48$	−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	−0.791748	−	0.610848i	$-0.790829\pi$
$53$	0.246554	−	0.339353i	0.0338669	−	0.0466137i	0.825615	+	0.564234i	$0.190829\pi$
$54$	−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	0.866522	−	0.499138i	$-0.166350\pi$
$59$	14.2941	−	4.64445i	1.86094	−	0.604656i	0.994417	−	0.105518i	$-0.0336499\pi$
$60$	−3.82671	+	6.16783i	−0.494026	+	0.796263i
$61$	1.17050	+	1.61106i	0.149868	+	0.206275i	0.877350	−	0.479852i	$-0.159309\pi$
$61$	1.17050	+	1.61106i	0.149868	+	0.206275i	−0.727482	+	0.686127i	$0.759309\pi$
$62$	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	0.811384	−	0.584514i	$-0.198715\pi$
$71$	0.0399980	+	0.0550525i	0.00474689	+	0.00653353i	−0.806637	+	0.591047i	$0.798715\pi$
$72$	0.502035	−	2.95770i	0.0591653	−	0.348568i
$73$	1.18231	−	0.384156i	0.138379	−	0.0449621i	−0.239009	−	0.971017i	$-0.576822\pi$
$73$	1.18231	−	0.384156i	0.138379	−	0.0449621i	0.377388	+	0.926055i	$0.376822\pi$
$74$	−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	−0.974704	−	0.223498i	$-0.928252\pi$
$79$	−4.09697	+	5.63899i	−0.460945	+	0.634436i	0.513760	+	0.857934i	$0.328252\pi$
$80$	−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	−0.654728	−	0.755865i	$-0.727217\pi$
$83$	−1.25887	+	0.914625i	−0.138179	+	0.100393i	0.516548	+	0.856258i	$0.327217\pi$
$84$	−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	$-0.726970\pi$
$89$		−	14.2712i		−	1.51274i	0.654142	−	0.756371i	$-0.273030\pi$
$90$	−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	0.692095	−	0.721806i	$-0.256688\pi$
$97$	2.16169	+	1.57056i	0.219486	+	0.159466i	−0.472609	+	0.881272i	$0.656688\pi$
$98$	−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	−0.982683	−	0.185295i	$-0.940676\pi$
$101$	−14.6987	−	10.6792i	−1.46257	−	1.06262i	−0.479892	−	0.877328i	$-0.659324\pi$
$102$	−7.01362	+	0.512988i	−0.694451	+	0.0507933i
$103$	−5.24962	−	16.1567i	−0.517261	−	1.59197i	−0.779130	−	0.626862i	$-0.784339\pi$
$103$	−5.24962	−	16.1567i	−0.517261	−	1.59197i	0.261869	−	0.965103i	$-0.415661\pi$
$104$	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	0.296477	+	0.955040i	$0.404188\pi$
$107$	−5.22103	+	16.0687i	−0.504736	+	1.55342i	−0.801213	+	0.598379i	$0.795812\pi$
$108$	2.64114	+	4.47486i	0.254143	+	0.430594i
$109$		−	12.2023i		−	1.16877i	−0.811478	−	0.584383i	$-0.801337\pi$
$109$		−	12.2023i		−	1.16877i	0.811478	−	0.584383i	$-0.198663\pi$
$110$	−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	0.964037	−	0.265768i	$-0.0856256\pi$
$113$	16.8780	+	5.48398i	1.58774	+	0.515889i	0.623708	+	0.781658i	$0.285626\pi$
$114$	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	0.865235	−	0.501366i	$-0.167169\pi$
$127$	1.36400	+	1.87739i	0.121036	+	0.166591i	−0.744200	+	0.667957i	$0.767169\pi$
$128$	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	0.327245	−	0.944939i	$-0.393880\pi$
$137$	−7.87223	−	10.8352i	−0.672570	−	0.925713i	−0.999815	+	0.0192265i	$0.993880\pi$
$138$	2.45875	−	3.96297i	0.209303	−	0.337350i
$139$	13.5052	−	4.38810i	1.14550	−	0.372194i	0.326051	−	0.945352i	$-0.394282\pi$
$139$	13.5052	−	4.38810i	1.14550	−	0.372194i	0.819445	+	0.573158i	$0.194282\pi$
$140$	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	−0.918558	−	0.395286i	$-0.870645\pi$
$149$	−10.0883	+	7.32960i	−0.826469	+	0.600465i	0.0920894	+	0.995751i	$0.470645\pi$
$150$	16.6227	−	14.0390i	1.35724	−	1.14628i
$151$	6.39257	+	2.07707i	0.520220	+	0.169030i	0.557345	−	0.830281i	$-0.311820\pi$
$151$	6.39257	+	2.07707i	0.520220	+	0.169030i	−0.0371253	+	0.999311i	$0.511820\pi$
$152$	−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	0.484693	+	0.874684i	$0.338931\pi$
$157$	−5.28211	+	16.2567i	−0.421558	+	1.29742i	−0.906252	+	0.422739i	$0.861069\pi$
$158$	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	0.707081	−	0.707132i	$-0.250012\pi$
$163$	3.23083	+	2.34734i	0.253058	+	0.183858i	−0.454023	+	0.890990i	$0.650012\pi$
$164$	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	0.677914	−	0.735142i	$-0.262884\pi$
$167$	2.43259	+	1.76738i	0.188239	+	0.136764i	−0.489674	+	0.871905i	$0.662884\pi$
$168$	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	−0.980293	−	0.197551i	$-0.936701\pi$
$173$	−0.935195	+	2.87824i	−0.0711016	+	0.218828i	0.909191	+	0.416379i	$0.136701\pi$
$174$	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	0.539009	−	0.842300i	$-0.318799\pi$
$179$	6.42177	+	2.08656i	0.479985	+	0.155957i	−0.0590238	+	0.998257i	$0.518799\pi$
$180$	−5.83111	+	11.1380i	−0.434625	+	0.830180i
$181$	−4.39551	+	3.19353i	−0.326716	+	0.237373i	−0.739036	−	0.673666i	$-0.764719\pi$
$181$	−4.39551	+	3.19353i	−0.326716	+	0.237373i	0.412320	+	0.911039i	$0.364719\pi$
$182$	−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	−0.517125	−	0.855910i	$-0.672998\pi$
$191$	−5.97585	+	1.94167i	−0.432397	+	0.140494i	0.0847279	+	0.996404i	$0.472998\pi$
$192$	−1.47179	−	0.913144i	−0.106217	−	0.0659005i
$193$	5.04603	+	6.94526i	0.363221	+	0.499931i	0.951043	−	0.309060i	$-0.100014\pi$
$193$	5.04603	+	6.94526i	0.363221	+	0.499931i	−0.587822	+	0.808991i	$0.700014\pi$
$194$	−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	−0.969615	−	0.244636i	$-0.921331\pi$
$211$	−6.35250	+	8.74347i	−0.437324	+	0.601925i	0.532291	+	0.846562i	$0.321331\pi$
$212$	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	−0.746394	−	0.665504i	$-0.768216\pi$
$223$	3.71276	−	11.4267i	0.248625	−	0.765189i	0.995019	−	0.0996850i	$-0.0317835\pi$
$224$	−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	0.999654	+	0.0263062i	$0.00837450\pi$
$227$	3.10942	+	9.56980i	0.206379	+	0.635170i	−0.793275	+	0.608864i	$0.791626\pi$
$228$	−0.190296	−	2.60175i	−0.0126027	−	0.172305i
$229$	−15.0942	−	10.9666i	−0.997456	−	0.724694i	−0.0359145	−	0.999355i	$-0.511434\pi$
$229$	−15.0942	−	10.9666i	−0.997456	−	0.724694i	−0.961541	+	0.274661i	$0.911434\pi$
$230$	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	0.851726	−	0.523987i	$-0.175556\pi$
$233$	9.41172	+	6.83802i	0.616582	+	0.447973i	−0.235144	+	0.971961i	$0.575556\pi$
$234$	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	−0.368291	−	0.929710i	$-0.620057\pi$
$239$	7.36083	−	22.6543i	0.476133	−	1.46539i	0.844424	−	0.535675i	$-0.179943\pi$
$240$	−7.04847	−	1.73346i	−0.454977	−	0.111894i
$241$			3.08815i			0.198925i	0.995041	+	0.0994627i	$0.0317124\pi$
$241$			3.08815i			0.198925i	−0.995041	+	0.0994627i	$0.968288\pi$
$242$	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	−0.630364	−	0.776300i	$-0.717094\pi$
$251$	4.79621	−	6.60141i	0.302734	−	0.416678i	0.933098	+	0.359622i	$0.117094\pi$
$252$	−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	−0.699287	−	0.714841i	$-0.746499\pi$
$257$	−13.5440	+	4.40070i	−0.844850	+	0.274508i	−0.145563	+	0.989349i	$0.546499\pi$
$258$	−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	−0.992074	−	0.125653i	$-0.959897\pi$
$269$	−13.2031	−	18.1726i	−0.805010	−	1.10800i	0.187064	−	0.982348i	$-0.440103\pi$
$270$	−4.73155	−	21.2552i	−0.287953	−	1.29355i
$271$	10.7641	−	3.49748i	0.653874	−	0.212457i	0.0367524	−	0.999324i	$-0.488299\pi$
$271$	10.7641	−	3.49748i	0.653874	−	0.212457i	0.617121	+	0.786868i	$0.288299\pi$
$272$	−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	0.267408	+	0.963583i	$0.413833\pi$
$277$	−12.1770	+	16.7603i	−0.731648	+	1.00703i	−0.999056	+	0.0434437i	$0.986167\pi$
$278$	−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	0.243318	−	0.969947i	$-0.421764\pi$
$281$	20.8026	−	15.1140i	1.24098	−	0.901626i	0.997663	+	0.0683205i	$0.0217641\pi$
$282$	3.35858	+	3.97670i	0.200001	+	0.236809i
$283$	−9.92191	−	3.22383i	−0.589797	−	0.191637i	−0.00111205	−	0.999999i	$-0.500354\pi$
$283$	−9.92191	−	3.22383i	−0.589797	−	0.191637i	−0.588685	+	0.808363i	$0.700354\pi$
$284$	−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	0.860269	+	0.509841i	$0.170296\pi$
$293$	7.94195	+	24.4428i	0.463974	+	1.42796i	−0.396295	+	0.918123i	$0.629704\pi$
$294$	−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	$0.188197\pi$
$307$			19.5325i			1.11478i	−0.830250	+	0.557391i	$0.811803\pi$
$308$	−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	0.494773	−	0.869022i	$-0.335251\pi$
$311$	6.77640	+	2.20178i	0.384254	+	0.124852i	−0.110519	+	0.993874i	$0.535251\pi$
$312$	4.61261	+	5.46153i	0.261138	+	0.309198i
$313$	−19.1918	+	13.9437i	−1.08478	+	0.788142i	−0.978511	−	0.206195i	$-0.933892\pi$
$313$	−19.1918	+	13.9437i	−1.08478	+	0.788142i	−0.106274	+	0.994337i	$0.533892\pi$
$314$	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	−0.225749	−	0.974186i	$-0.572483\pi$
$317$	13.7187	−	18.8821i	0.770517	−	1.06053i	0.996266	−	0.0863402i	$-0.0275172\pi$
$318$	−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	−0.699113	−	0.715011i	$-0.746421\pi$
$337$	−15.5017	+	5.03682i	−0.844434	+	0.274373i	−0.145321	+	0.989385i	$0.546421\pi$
$338$	−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	−0.618977	+	0.785409i	$0.712453\pi$
$347$	−29.0078	+	21.0754i	−1.55722	+	1.13139i	−0.938243	+	0.345978i	$0.887547\pi$
$348$	−7.34216	+	6.20093i	−0.393581	+	0.332405i
$349$	2.33777	+	0.759589i	0.125138	+	0.0406599i	0.370917	−	0.928666i	$-0.379044\pi$
$349$	2.33777	+	0.759589i	0.125138	+	0.0406599i	−0.245778	+	0.969326i	$0.579044\pi$
$350$	−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	$0.226182\pi$
$353$			24.5100i			1.30454i	−0.757989	+	0.652268i	$0.773818\pi$
$354$	−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	−0.994086	−	0.108592i	$-0.965366\pi$
$359$	−4.80659	−	14.7932i	−0.253682	−	0.780753i	0.740404	−	0.672162i	$-0.234634\pi$
$360$	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	0.909715	−	0.415234i	$-0.136300\pi$
$367$	−1.34729	−	4.14654i	−0.0703281	−	0.216448i	−0.980043	+	0.198786i	$0.936300\pi$
$368$	−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	$0.0216811\pi$
$373$			2.62893i			0.136121i	−0.997681	+	0.0680604i	$0.978319\pi$
$374$	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	−0.824783	−	0.565449i	$-0.808703\pi$
$379$	−10.5493	+	7.66451i	−0.541881	+	0.393699i	0.282902	+	0.959149i	$0.408703\pi$
$380$	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	−0.690093	−	0.723720i	$-0.742431\pi$
$383$	4.13827	−	5.69585i	0.211456	−	0.291044i	0.901549	+	0.432676i	$0.142431\pi$
$384$	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	0.0963031	−	0.995352i	$-0.469298\pi$
$389$	14.9751	−	4.86570i	0.759267	−	0.246701i	0.662964	+	0.748651i	$0.269298\pi$
$390$	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	0.517716	−	0.855553i	$-0.326782\pi$
$401$	−9.13031	−	12.5668i	−0.455946	−	0.627556i	−0.973662	+	0.227997i	$0.926782\pi$
$402$	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	0.0205257	−	0.999789i	$-0.493466\pi$
$409$	19.5167	−	26.8624i	0.965039	−	1.32826i	0.944513	−	0.328473i	$-0.106534\pi$
$410$	−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	$-0.979608\pi$
$419$		−	2.62083i		−	0.128036i	0.997949	−	0.0640180i	$-0.0203915\pi$
$420$	1.73346	−	7.04847i	0.0845839	−	0.343930i
$421$	−4.02162	+	12.3773i	−0.196002	+	0.603232i	0.803962	+	0.594681i	$0.202722\pi$
$421$	−4.02162	+	12.3773i	−0.196002	+	0.603232i	−0.999963	+	0.00855057i	$0.997278\pi$
$422$	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	0.340231	−	0.940342i	$-0.389495\pi$
$431$	−9.32044	−	6.77169i	−0.448950	−	0.326181i	−0.789181	+	0.614161i	$0.789495\pi$
$432$	−3.43969	+	3.89468i	−0.165492	+	0.187383i
$433$	1.09645	+	3.37452i	0.0526919	+	0.162169i	0.973940	−	0.226807i	$-0.0728288\pi$
$433$	1.09645	+	3.37452i	0.0526919	+	0.162169i	−0.921248	+	0.388976i	$0.872829\pi$
$434$	−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	$-0.943182\pi$
$439$		−	7.44024i		−	0.355103i	0.984111	−	0.177552i	$-0.0568177\pi$
$440$	−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	0.397685	−	0.917522i	$-0.369814\pi$
$443$	3.79094	+	1.23175i	0.180113	+	0.0585223i	−0.217572	+	0.976044i	$0.569814\pi$
$444$	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	−0.101199	+	0.994866i	$0.532268\pi$
$449$	−21.5308	+	29.6346i	−1.01610	+	1.39854i	−0.914902	+	0.403676i	$0.867732\pi$
$450$	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	0.973886	−	0.227039i	$-0.0729046\pi$
$457$	9.76978	+	13.4469i	0.457011	+	0.629022i	−0.516874	+	0.856061i	$0.672905\pi$
$458$	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	0.959659	+	0.281167i	$0.0907215\pi$
$467$	20.1086	+	27.6771i	0.930514	+	1.28074i	−0.0291451	+	0.999575i	$0.509278\pi$
$468$	−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	−0.998479	−	0.0551341i	$-0.982441\pi$
$479$	−27.4580	+	19.9494i	−1.25459	+	0.911513i	−0.256111	+	0.966647i	$0.582441\pi$
$480$	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	0.432337	+	0.901712i	$0.357689\pi$
$487$	−9.87423	+	30.3898i	−0.447444	+	1.37709i	−0.879781	+	0.475380i	$0.842311\pi$
$488$	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	0.886380	+	0.462958i	$0.153212\pi$
$491$	9.78084	+	30.1023i	0.441403	+	1.35850i	−0.444977	+	0.895542i	$0.646788\pi$
$492$	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	0.990947	+	0.134252i	$0.0428632\pi$
$499$	5.99036	+	18.4364i	0.268166	+	0.825329i	−0.722782	+	0.691076i	$0.757137\pi$
$500$	−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	−0.998141	−	0.0609401i	$-0.980590\pi$
$503$	−3.47199	+	10.6857i	−0.154808	+	0.476451i	0.843333	+	0.537391i	$0.180590\pi$
$504$	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	0.294217	−	0.955739i	$-0.404941\pi$
$509$	−0.666107	−	0.216431i	−0.0295247	−	0.00959315i	−0.323742	+	0.946145i	$0.604941\pi$
$510$	−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	−0.306632	−	0.951828i	$-0.599202\pi$
$521$	0.108855	−	0.0353692i	0.00476903	−	0.00154955i	0.311401	+	0.950279i	$0.399202\pi$
$522$	2.78556	−	16.4109i	0.121921	−	0.718285i
$523$	−8.07085	−	11.1086i	−0.352914	−	0.485744i	0.595244	−	0.803545i	$-0.297056\pi$
$523$	−8.07085	−	11.1086i	−0.352914	−	0.485744i	−0.948157	+	0.317801i	$0.897056\pi$
$524$	−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	−0.946545	−	0.322572i	$-0.895453\pi$
$541$	−8.07713	+	11.1172i	−0.347263	+	0.477966i	0.599282	+	0.800538i	$0.295453\pi$
$542$	−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	0.481207	−	0.876607i	$-0.340198\pi$
$547$	8.30872	+	2.69967i	0.355255	+	0.115429i	−0.125952	+	0.992036i	$0.540198\pi$
$548$	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	0.986740	−	0.162307i	$-0.0518935\pi$
$557$	2.19604	+	6.75870i	0.0930490	+	0.286375i	−0.893691	+	0.448682i	$0.851893\pi$
$558$	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	0.762603	−	0.646867i	$-0.223921\pi$
$563$	9.08894	+	6.60350i	0.383053	+	0.278304i	−0.379550	+	0.925171i	$0.623921\pi$
$564$	−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	−0.746086	−	0.665850i	$-0.768069\pi$
$569$	5.93688	−	18.2718i	0.248887	−	0.765995i	0.994973	−	0.100146i	$-0.0319308\pi$
$570$	−2.61081	+	10.6159i	−0.109355	+	0.444652i
$571$			30.9561i			1.29547i	0.761865	+	0.647736i	$0.224284\pi$
$571$			30.9561i			1.29547i	−0.761865	+	0.647736i	$0.775716\pi$
$572$	−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	−0.478083	+	0.878314i	$0.658668\pi$
$577$	−35.0979	+	25.5001i	−1.46115	+	1.06158i	−0.983063	+	0.183270i	$0.941332\pi$
$578$	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	0.102489	−	0.994734i	$-0.467319\pi$
$587$	18.6579	−	6.06233i	0.770095	−	0.250219i	0.667606	+	0.744515i	$0.267319\pi$
$588$	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	0.976206	−	0.216845i	$-0.0695767\pi$
$599$	11.4616	+	15.7756i	0.468310	+	0.644573i	−0.507896	+	0.861418i	$0.669577\pi$
$600$	18.4886	+	11.4709i	0.754792	+	0.468296i
$601$	−9.63705	+	3.13127i	−0.393103	+	0.127727i	−0.498897	−	0.866661i	$-0.666262\pi$
$601$	−9.63705	+	3.13127i	−0.393103	+	0.127727i	0.105794	+	0.994388i	$0.466262\pi$
$602$	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	−0.939990	−	0.341203i	$-0.889166\pi$
$607$	−8.00748	+	11.0214i	−0.325014	+	0.447343i	0.614976	+	0.788546i	$0.289166\pi$
$608$	−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	0.726300	−	0.687378i	$-0.241239\pi$
$613$	22.5270	+	7.31947i	0.909857	+	0.295631i	0.183558	+	0.983009i	$0.441239\pi$
$614$	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	$0.0460113\pi$
$617$			7.15606i			0.288092i	−0.989571	+	0.144046i	$0.953989\pi$
$618$	−7.02703	+	28.5729i	−0.282669	+	1.14937i
$619$	−5.77521	+	17.7743i	−0.232125	+	0.714409i	0.765364	+	0.643597i	$0.222559\pi$
$619$	−5.77521	+	17.7743i	−0.232125	+	0.714409i	−0.997490	+	0.0708112i	$0.977441\pi$
$620$	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	−0.648827	−	0.760936i	$-0.724740\pi$
$631$	−14.3479	−	44.1584i	−0.571182	−	1.75792i	0.0776452	−	0.996981i	$-0.475260\pi$
$632$	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	0.826265	−	0.563282i	$-0.190462\pi$
$641$	29.4610	+	9.57245i	1.16364	+	0.378089i	0.337373	+	0.941371i	$0.390462\pi$
$642$	22.3573	−	18.8822i	0.882372	−	0.745220i
$643$	3.55086	−	2.57985i	0.140032	−	0.101739i	−0.515564	−	0.856851i	$-0.672417\pi$
$643$	3.55086	−	2.57985i	0.140032	−	0.101739i	0.655596	+	0.755112i	$0.272417\pi$
$644$	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	−0.953362	−	0.301830i	$-0.902402\pi$
$647$	−9.45461	+	13.0132i	−0.371699	+	0.511600i	0.581663	+	0.813430i	$0.302402\pi$
$648$	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	−0.439599	−	0.898194i	$-0.644879\pi$
$653$	−6.83047	+	2.21935i	−0.267297	+	0.0868501i	0.172302	+	0.985044i	$0.444879\pi$
$654$	−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	−0.400694	−	0.916212i	$-0.631231\pi$
$673$	15.4226	−	21.2273i	0.594496	−	0.818254i	0.995191	+	0.0979581i	$0.0312311\pi$
$674$	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	0.0327555	−	0.999463i	$-0.489572\pi$
$677$	25.8481	−	18.7798i	0.993424	−	0.721765i	0.960668	+	0.277699i	$0.0895717\pi$
$678$	−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	$-0.883815\pi$
$683$		−	18.6575i		−	0.713910i	0.934122	−	0.356955i	$-0.116185\pi$
$684$	−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	0.214663	−	0.976688i	$-0.431135\pi$
$691$	−17.0310	−	12.3737i	−0.647888	−	0.470718i	−0.862551	+	0.505970i	$0.831135\pi$
$692$	−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	−0.996589	−	0.0825207i	$-0.973703\pi$
$701$	−3.75507	+	11.5569i	−0.141827	+	0.436499i	0.854762	+	0.519020i	$0.173703\pi$
$702$	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	0.00817578	−	0.999967i	$-0.497398\pi$
$709$	25.6080	−	18.6053i	0.961727	−	0.698736i	0.953551	+	0.301231i	$0.0973975\pi$
$710$	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	0.598193	−	0.801352i	$-0.295886\pi$
$719$	41.6468	−	13.5319i	1.55316	−	0.504654i	0.954971	+	0.296699i	$0.0958857\pi$
$720$	−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	−0.355538	−	0.934662i	$-0.615702\pi$
$733$	−2.53939	+	0.825097i	−0.0937945	+	0.0304757i	0.261744	+	0.965137i	$0.415702\pi$
$734$	−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	−0.940701	−	0.339238i	$-0.889831\pi$
$739$	−8.89950	+	12.2491i	−0.327373	+	0.450591i	0.613327	+	0.789829i	$0.289831\pi$
$740$	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	−0.882952	−	0.469464i	$-0.844447\pi$
$743$	−19.3344	+	14.0473i	−0.709312	+	0.515345i	0.173640	+	0.984809i	$0.444447\pi$
$744$	−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	0.188842	+	0.982007i	$0.439527\pi$
$751$	−14.8297	+	45.6412i	−0.541144	+	1.66547i	−0.729986	+	0.683462i	$0.760473\pi$
$752$	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	−0.985769	−	0.168103i	$-0.946236\pi$
$757$	−39.9020	−	28.9905i	−1.45026	−	1.05368i	−0.464495	−	0.885576i	$-0.653764\pi$
$758$	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	0.306267	−	0.951946i	$-0.400920\pi$
$761$	−13.9158	−	10.1104i	−0.504446	−	0.366501i	−0.810713	+	0.585444i	$0.800920\pi$
$762$	−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	$0.238730\pi$
$769$			37.8045i			1.36327i	−0.731694	+	0.681633i	$0.761270\pi$
$770$	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	0.858740	−	0.512412i	$-0.171248\pi$
$773$	34.8172	+	11.3128i	1.25229	+	0.406893i	0.393547	+	0.919304i	$0.371248\pi$
$774$	−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	0.846652	−	0.532147i	$-0.178615\pi$
$787$	2.21398	+	3.04729i	0.0789200	+	0.108624i	−0.767732	+	0.640771i	$0.778615\pi$
$788$	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	0.759051	−	0.651031i	$-0.225663\pi$
$797$	−2.67283	−	3.67883i	−0.0946765	−	0.130311i	−0.853727	+	0.520720i	$0.825663\pi$
$798$	−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	−0.0801492	−	0.996783i	$-0.525540\pi$
$809$	23.9797	−	17.4222i	0.843080	−	0.612534i	0.923229	+	0.384249i	$0.125540\pi$
$810$	−10.8590	−	36.1192i	−0.381546	−	1.26910i
$811$	−47.3959	−	15.3998i	−1.66429	−	0.540762i	−0.682528	−	0.730859i	$-0.739120\pi$
$811$	−47.3959	−	15.3998i	−1.66429	−	0.540762i	−0.981765	+	0.190097i	$0.939120\pi$
$812$	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	0.994564	−	0.104131i	$-0.0332060\pi$
$821$	3.68875	+	11.3528i	0.128738	+	0.396216i	−0.865825	+	0.500346i	$0.833206\pi$
$822$	1.69218	+	23.1356i	0.0590215	+	0.806947i
$823$	−13.3700	−	9.71390i	−0.466050	−	0.338605i	0.329850	−	0.944033i	$-0.393002\pi$
$823$	−13.3700	−	9.71390i	−0.466050	−	0.338605i	−0.795900	+	0.605428i	$0.793002\pi$
$824$	−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	0.370651	−	0.928772i	$-0.379135\pi$
$827$	−11.4492	−	8.31831i	−0.398127	−	0.289256i	−0.768777	+	0.639516i	$0.779135\pi$
$828$	−7.23753	+	3.58747i	−0.251521	+	0.124673i
$829$	−4.22611	−	13.0066i	−0.146779	−	0.451739i	0.850456	−	0.526045i	$-0.176326\pi$
$829$	−4.22611	−	13.0066i	−0.146779	−	0.451739i	−0.997235	+	0.0743061i	$0.976326\pi$
$830$	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	0.0564720	−	0.998404i	$-0.482015\pi$
$839$	−14.0392	−	4.56163i	−0.484688	−	0.157485i	−0.541160	+	0.840919i	$0.682015\pi$
$840$	−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	0.332154	−	0.943225i	$-0.392225\pi$
$853$	−19.4965	−	26.8347i	−0.667548	−	0.918801i	−0.999702	+	0.0244241i	$0.992225\pi$
$854$	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	0.697074	−	0.716999i	$-0.254485\pi$
$863$	−5.88243	−	8.09647i	−0.200240	−	0.275607i	−0.897314	+	0.441392i	$0.854485\pi$
$864$	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	0.303177	−	0.952934i	$-0.401953\pi$
$877$	−0.345540	−	0.112273i	−0.0116681	−	0.00379118i	−0.314845	+	0.949143i	$0.601953\pi$
$878$	−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	$-0.955170\pi$
$881$		−	8.33296i		−	0.280744i	0.990099	−	0.140372i	$-0.0448299\pi$
$882$	−2.96807	+	0.436515i	−0.0999402	+	0.0146982i
$883$	−15.8175	+	48.6813i	−0.532301	+	1.63825i	0.217108	+	0.976148i	$0.430338\pi$
$883$	−15.8175	+	48.6813i	−0.532301	+	1.63825i	−0.749409	+	0.662107i	$0.769662\pi$
$884$	−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	0.865255	−	0.501332i	$-0.167156\pi$
$887$	−3.85465	−	11.8634i	−0.129426	−	0.398334i	−0.994682	+	0.102998i	$0.967156\pi$
$888$	−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	−0.471838	−	0.881685i	$-0.656409\pi$
$907$	6.65238	−	4.83323i	0.220888	−	0.160485i	0.692727	+	0.721200i	$0.256409\pi$
$908$	−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	−0.790875	−	0.611978i	$-0.790374\pi$
$911$	1.07282	−	1.47661i	0.0355440	−	0.0489222i	0.826419	+	0.563055i	$0.190374\pi$
$912$	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	0.761732	−	0.647892i	$-0.224349\pi$
$919$	−2.72345	−	3.74851i	−0.0898384	−	0.123652i	−0.851570	+	0.524240i	$0.824349\pi$
$920$	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	0.457180	−	0.889374i	$-0.348859\pi$
$929$	−16.1523	−	22.2318i	−0.529941	−	0.729402i	−0.987121	+	0.159972i	$0.948859\pi$
$930$	−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	−0.725908	−	0.687792i	$-0.758580\pi$
$937$	4.66929	−	6.42673i	0.152539	−	0.209952i	0.878447	+	0.477840i	$0.158580\pi$
$938$	−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	−0.159535	−	0.987192i	$-0.550999\pi$
$941$	22.3946	−	16.2706i	0.730042	−	0.530406i	0.889577	+	0.456786i	$0.150999\pi$
$942$	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	$-0.679990\pi$
$947$		−	51.9667i		−	1.68869i	0.535799	−	0.844346i	$-0.320010\pi$
$948$	−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	−0.999983	−	0.00575437i	$-0.998168\pi$
$953$	−6.00010	−	18.4664i	−0.194362	−	0.598185i	0.805621	−	0.592431i	$-0.201832\pi$
$954$	−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	$-0.926986\pi$
$967$		−	14.1411i		−	0.454747i	0.973808	−	0.227373i	$-0.0730137\pi$
$968$	−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	0.890014	−	0.455933i	$-0.150694\pi$
$971$	41.8198	+	13.5881i	1.34206	+	0.436062i	0.452046	+	0.891994i	$0.350694\pi$
$972$	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	−0.992415	−	0.122936i	$-0.960769\pi$
$977$	−17.7797	+	24.4717i	−0.568823	+	0.782918i	0.423592	+	0.905853i	$0.360769\pi$
$978$	−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	−0.486811	−	0.873507i	$-0.661840\pi$
$983$	−11.5132	+	3.74087i	−0.367214	+	0.119315i	0.119597	+	0.992823i	$0.461840\pi$
$984$	−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	−0.243407	−	0.969924i	$-0.578265\pi$
$997$	4.09784	−	1.33147i	0.129780	−	0.0421680i	0.373187	+	0.927756i	$0.378265\pi$
$998$	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.29.12	✓	48
3.2	odd	2		462.2.w.b.29.4	yes	48
11.8	odd	10		462.2.w.b.239.4	yes	48
33.8	even	10	inner	462.2.w.a.239.12	yes	48

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
462.2.w.a.29.12	✓	48	1.1	even	1	trivial
462.2.w.a.239.12	yes	48	33.8	even	10	inner
462.2.w.b.29.4	yes	48	3.2	odd	2
462.2.w.b.239.4	yes	48	11.8	odd	10

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(-0.809017 - 0.587785i) q^{2} +(1.72744 - 0.126348i) q^{3} +(0.309017 + 0.951057i) q^{4} +(2.46323 + 3.39035i) q^{5} +(-1.47179 - 0.913144i) q^{6} +(-0.951057 + 0.309017i) q^{7} +(0.309017 - 0.951057i) q^{8} +(2.96807 - 0.436515i) q^{9} +O(q^{10})\)	\(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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