LMFDB - Embedded newform 462.2.w.b.365.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

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

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

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

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

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

chi := DirichletCharacter("462.29");

S:= CuspForms(chi, 2);

N := Newforms(S);

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

Newform invariants

comment: select newform

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

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

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

Embedding invariants

Embedding label			365.10
Character	$\chi$	$=$	462.365
Dual form			462.2.w.b.281.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.309017 + 0.951057i) q^{2} +(1.31196 - 1.13082i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-3.37365 + 1.09617i) q^{5} +(0.670059 + 1.59719i) q^{6} +(0.587785 - 0.809017i) q^{7} +(0.809017 - 0.587785i) q^{8} +(0.442477 - 2.96719i) q^{9} +O(q^{10})$	\(q+(-0.309017 + 0.951057i) q^{2} +(1.31196 - 1.13082i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-3.37365 + 1.09617i) q^{5} +(0.670059 + 1.59719i) q^{6} +(0.587785 - 0.809017i) q^{7} +(0.809017 - 0.587785i) q^{8} +(0.442477 - 2.96719i) q^{9} -3.54727i q^{10} +(1.81205 - 2.77785i) q^{11} +(-1.72608 + 0.143705i) q^{12} +(-5.58578 - 1.81493i) q^{13} +(0.587785 + 0.809017i) q^{14} +(-3.18653 + 5.25313i) q^{15} +(0.309017 + 0.951057i) q^{16} +(-2.31468 - 7.12386i) q^{17} +(2.68523 + 1.33773i) q^{18} +(2.87631 + 3.95890i) q^{19} +(3.37365 + 1.09617i) q^{20} +(-0.143705 - 1.72608i) q^{21} +(2.08194 + 2.58177i) q^{22} -3.38245i q^{23} +(0.396716 - 1.68601i) q^{24} +(6.13486 - 4.45724i) q^{25} +(3.45220 - 4.75155i) q^{26} +(-2.77486 - 4.39320i) q^{27} +(-0.951057 + 0.309017i) q^{28} +(4.51407 + 3.27966i) q^{29} +(-4.01133 - 4.65387i) q^{30} +(-0.123968 + 0.381533i) q^{31} -1.00000 q^{32} +(-0.763928 - 5.69354i) q^{33} +7.49047 q^{34} +(-1.09617 + 3.37365i) q^{35} +(-2.10204 + 2.14043i) q^{36} +(-8.42315 - 6.11978i) q^{37} +(-4.65396 + 1.51216i) q^{38} +(-9.38069 + 3.93542i) q^{39} +(-2.08503 + 2.86980i) q^{40} +(0.577928 - 0.419889i) q^{41} +(1.68601 + 0.396716i) q^{42} +0.722341i q^{43} +(-3.09876 + 1.18224i) q^{44} +(1.75977 + 10.4953i) q^{45} +(3.21690 + 1.04523i) q^{46} +(-0.656700 - 0.903870i) q^{47} +(1.48089 + 0.898304i) q^{48} +(-0.309017 - 0.951057i) q^{49} +(2.34331 + 7.21196i) q^{50} +(-11.0926 - 6.72872i) q^{51} +(3.45220 + 4.75155i) q^{52} +(0.334548 + 0.108701i) q^{53} +(5.03566 - 1.28147i) q^{54} +(-3.06823 + 11.3578i) q^{55} -1.00000i q^{56} +(8.25041 + 1.94132i) q^{57} +(-4.51407 + 3.27966i) q^{58} +(-0.843365 + 1.16079i) q^{59} +(5.66567 - 2.37688i) q^{60} +(-1.21110 + 0.393510i) q^{61} +(-0.324552 - 0.235801i) q^{62} +(-2.14043 - 2.10204i) q^{63} +(0.309017 - 0.951057i) q^{64} +20.8340 q^{65} +(5.65095 + 1.03286i) q^{66} +9.40320 q^{67} +(-2.31468 + 7.12386i) q^{68} +(-3.82496 - 4.43764i) q^{69} +(-2.86980 - 2.08503i) q^{70} +(-3.46695 + 1.12648i) q^{71} +(-1.38610 - 2.66059i) q^{72} +(-1.72995 + 2.38107i) q^{73} +(8.42315 - 6.11978i) q^{74} +(3.00834 - 12.7852i) q^{75} -4.89346i q^{76} +(-1.18224 - 3.09876i) q^{77} +(-0.844013 - 10.1377i) q^{78} +(11.2390 + 3.65177i) q^{79} +(-2.08503 - 2.86980i) q^{80} +(-8.60843 - 2.62582i) q^{81} +(0.220749 + 0.679395i) q^{82} +(3.11045 + 9.57298i) q^{83} +(-0.898304 + 1.48089i) q^{84} +(15.6179 + 21.4962i) q^{85} +(-0.686987 - 0.223216i) q^{86} +(9.63100 - 0.801829i) q^{87} +(-0.166804 - 3.31243i) q^{88} +4.97760i q^{89} +(-10.5254 - 1.56958i) q^{90} +(-4.75155 + 3.45220i) q^{91} +(-1.98816 + 2.73646i) q^{92} +(0.268806 + 0.640742i) q^{93} +(1.06256 - 0.345247i) q^{94} +(-14.0433 - 10.2030i) q^{95} +(-1.31196 + 1.13082i) q^{96} +(-0.155827 + 0.479587i) q^{97} +1.00000 q^{98} +(-7.44063 - 6.60583i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 48 q + 12 q^{2} - 4 q^{3} - 12 q^{4} + 4 q^{6} + 12 q^{8} + 10 q^{9}+O(q^{10}) $ 48 * q + 12 * q^2 - 4 * q^3 - 12 * q^4 + 4 * q^6 + 12 * q^8 + 10 * q^9	$ 48 q + 12 q^{2} - 4 q^{3} - 12 q^{4} + 4 q^{6} + 12 q^{8} + 10 q^{9} + 8 q^{11} + 6 q^{12} - 24 q^{15} - 12 q^{16} + 24 q^{17} + 10 q^{18} + 30 q^{19} - 8 q^{22} - 6 q^{24} + 18 q^{25} + 20 q^{26} + 38 q^{27} - 8 q^{29} - 36 q^{30} - 32 q^{31} - 48 q^{32} + 24 q^{33} - 4 q^{34} - 6 q^{35} - 20 q^{37} - 20 q^{38} - 34 q^{39} - 22 q^{44} + 12 q^{45} + 20 q^{46} - 20 q^{47} - 4 q^{48} + 12 q^{49} - 28 q^{50} + 2 q^{51} + 20 q^{52} - 20 q^{53} - 18 q^{54} + 16 q^{55} + 12 q^{57} + 8 q^{58} - 30 q^{59} - 4 q^{60} - 20 q^{61} - 8 q^{62} - 4 q^{63} - 12 q^{64} + 46 q^{66} + 36 q^{67} + 24 q^{68} + 30 q^{69} - 4 q^{70} - 10 q^{72} - 20 q^{73} + 20 q^{74} + 40 q^{75} + 16 q^{77} - 16 q^{78} - 20 q^{79} - 54 q^{81} - 10 q^{82} + 46 q^{83} - 10 q^{84} + 10 q^{85} + 30 q^{86} - 8 q^{87} - 8 q^{88} - 62 q^{90} - 36 q^{91} - 10 q^{92} + 44 q^{93} - 50 q^{95} + 4 q^{96} - 2 q^{97} + 48 q^{98} - 26 q^{99}+O(q^{100}) $ 48 * q + 12 * q^2 - 4 * q^3 - 12 * q^4 + 4 * q^6 + 12 * q^8 + 10 * q^9 + 8 * q^11 + 6 * q^12 - 24 * q^15 - 12 * q^16 + 24 * q^17 + 10 * q^18 + 30 * q^19 - 8 * q^22 - 6 * q^24 + 18 * q^25 + 20 * q^26 + 38 * q^27 - 8 * q^29 - 36 * q^30 - 32 * q^31 - 48 * q^32 + 24 * q^33 - 4 * q^34 - 6 * q^35 - 20 * q^37 - 20 * q^38 - 34 * q^39 - 22 * q^44 + 12 * q^45 + 20 * q^46 - 20 * q^47 - 4 * q^48 + 12 * q^49 - 28 * q^50 + 2 * q^51 + 20 * q^52 - 20 * q^53 - 18 * q^54 + 16 * q^55 + 12 * q^57 + 8 * q^58 - 30 * q^59 - 4 * q^60 - 20 * q^61 - 8 * q^62 - 4 * q^63 - 12 * q^64 + 46 * q^66 + 36 * q^67 + 24 * q^68 + 30 * q^69 - 4 * q^70 - 10 * q^72 - 20 * q^73 + 20 * q^74 + 40 * q^75 + 16 * q^77 - 16 * q^78 - 20 * q^79 - 54 * q^81 - 10 * q^82 + 46 * q^83 - 10 * q^84 + 10 * q^85 + 30 * q^86 - 8 * q^87 - 8 * q^88 - 62 * q^90 - 36 * q^91 - 10 * q^92 + 44 * q^93 - 50 * q^95 + 4 * q^96 - 2 * q^97 + 48 * q^98 - 26 * q^99

Display 100 coefficients 10 coefficients

Character values

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

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

Coefficient data

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

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

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

$2$	−0.309017	+	0.951057i	−0.218508	+	0.672499i
$2$	−0.309017	+	0.951057i	−0.218508	+	0.672499i
$3$	1.31196	−	1.13082i	0.757460	−	0.652881i
$3$	1.31196	−	1.13082i	0.757460	−	0.652881i
$4$	−0.809017	−	0.587785i	−0.404508	−	0.293893i
$5$	−3.37365	+	1.09617i	−1.50874	+	0.490220i	−0.942554	−	0.334055i	$-0.891583\pi$
$5$	−3.37365	+	1.09617i	−1.50874	+	0.490220i	−0.566189	+	0.824275i	$0.691583\pi$
$6$	0.670059	+	1.59719i	0.273551	+	0.652051i
$7$	0.587785	−	0.809017i	0.222162	−	0.305780i
$7$	0.587785	−	0.809017i	0.222162	−	0.305780i
$8$	0.809017	−	0.587785i	0.286031	−	0.207813i
$9$	0.442477	−	2.96719i	0.147492	−	0.989063i
$10$		−	3.54727i		−	1.12174i
$11$	1.81205	−	2.77785i	0.546353	−	0.837555i
$11$	1.81205	−	2.77785i	0.546353	−	0.837555i
$12$	−1.72608	+	0.143705i	−0.498276	+	0.0414840i
$13$	−5.58578	−	1.81493i	−1.54922	−	0.503371i	−0.595316	−	0.803492i	$-0.702973\pi$
$13$	−5.58578	−	1.81493i	−1.54922	−	0.503371i	−0.953901	+	0.300120i	$0.902973\pi$
$14$	0.587785	+	0.809017i	0.157092	+	0.216219i
$15$	−3.18653	+	5.25313i	−0.822757	+	1.35635i
$16$	0.309017	+	0.951057i	0.0772542	+	0.237764i
$17$	−2.31468	−	7.12386i	−0.561393	−	1.72779i	−0.678432	−	0.734663i	$-0.737340\pi$
$17$	−2.31468	−	7.12386i	−0.561393	−	1.72779i	0.117039	−	0.993127i	$-0.462660\pi$
$18$	2.68523	+	1.33773i	0.632915	+	0.315307i
$19$	2.87631	+	3.95890i	0.659870	+	0.908233i	0.999477	−	0.0323345i	$-0.0102942\pi$
$19$	2.87631	+	3.95890i	0.659870	+	0.908233i	−0.339607	+	0.940567i	$0.610294\pi$
$20$	3.37365	+	1.09617i	0.754371	+	0.245110i
$21$	−0.143705	−	1.72608i	−0.0313590	−	0.376661i
$22$	2.08194	+	2.58177i	0.443872	+	0.550434i
$23$		−	3.38245i		−	0.705290i	−0.935757	−	0.352645i	$-0.885282\pi$
$23$		−	3.38245i		−	0.705290i	0.935757	−	0.352645i	$-0.114718\pi$
$24$	0.396716	−	1.68601i	0.0809794	−	0.344155i
$25$	6.13486	−	4.45724i	1.22697	−	0.891448i
$26$	3.45220	−	4.75155i	0.677033	−	0.931856i
$27$	−2.77486	−	4.39320i	−0.534021	−	0.845471i
$28$	−0.951057	+	0.309017i	−0.179733	+	0.0583987i
$29$	4.51407	+	3.27966i	0.838242	+	0.609018i	0.921879	−	0.387478i	$-0.126654\pi$
$29$	4.51407	+	3.27966i	0.838242	+	0.609018i	−0.0836373	+	0.996496i	$0.526654\pi$
$30$	−4.01133	−	4.65387i	−0.732366	−	0.849677i
$31$	−0.123968	+	0.381533i	−0.0222653	+	0.0685254i	−0.961572	−	0.274554i	$-0.911470\pi$
$31$	−0.123968	+	0.381533i	−0.0222653	+	0.0685254i	0.939307	+	0.343079i	$0.111470\pi$
$32$	−1.00000			−0.176777
$33$	−0.763928	−	5.69354i	−0.132983	−	0.991118i
$34$	7.49047			1.28461
$35$	−1.09617	+	3.37365i	−0.185286	+	0.570251i
$36$	−2.10204	+	2.14043i	−0.350340	+	0.356738i
$37$	−8.42315	−	6.11978i	−1.38476	−	1.00609i	−0.996418	−	0.0845689i	$-0.973049\pi$
$37$	−8.42315	−	6.11978i	−1.38476	−	1.00609i	−0.388340	−	0.921516i	$-0.626951\pi$
$38$	−4.65396	+	1.51216i	−0.754972	+	0.245305i
$39$	−9.38069	+	3.93542i	−1.50211	+	0.630171i
$40$	−2.08503	+	2.86980i	−0.329672	+	0.453755i
$41$	0.577928	−	0.419889i	0.0902571	−	0.0655757i	−0.541741	−	0.840545i	$-0.682235\pi$
$41$	0.577928	−	0.419889i	0.0902571	−	0.0655757i	0.631999	+	0.774970i	$0.282235\pi$
$42$	1.68601	+	0.396716i	0.260156	+	0.0612147i
$43$			0.722341i			0.110156i	0.998482	+	0.0550780i	$0.0175408\pi$
$43$			0.722341i			0.110156i	−0.998482	+	0.0550780i	$0.982459\pi$
$44$	−3.09876	+	1.18224i	−0.467156	+	0.178229i
$45$	1.75977	+	10.4953i	0.262331	+	1.56455i
$46$	3.21690	+	1.04523i	0.474306	+	0.154111i
$47$	−0.656700	−	0.903870i	−0.0957895	−	0.131843i	0.758432	−	0.651752i	$-0.225966\pi$
$47$	−0.656700	−	0.903870i	−0.0957895	−	0.131843i	−0.854222	+	0.519909i	$0.825966\pi$
$48$	1.48089	+	0.898304i	0.213749	+	0.129659i
$49$	−0.309017	−	0.951057i	−0.0441453	−	0.135865i
$50$	2.34331	+	7.21196i	0.331394	+	1.01993i
$51$	−11.0926	−	6.72872i	−1.55327	−	0.942210i
$52$	3.45220	+	4.75155i	0.478735	+	0.658922i
$53$	0.334548	+	0.108701i	0.0459537	+	0.0149313i	0.331904	−	0.943313i	$-0.392309\pi$
$53$	0.334548	+	0.108701i	0.0459537	+	0.0149313i	−0.285950	+	0.958245i	$0.592309\pi$
$54$	5.03566	−	1.28147i	0.685266	−	0.174386i
$55$	−3.06823	+	11.3578i	−0.413720	+	1.53149i
$56$		−	1.00000i		−	0.133631i
$57$	8.25041	+	1.94132i	1.09279	+	0.257134i
$58$	−4.51407	+	3.27966i	−0.592726	+	0.430641i
$59$	−0.843365	+	1.16079i	−0.109797	+	0.151122i	−0.860379	−	0.509655i	$-0.829773\pi$
$59$	−0.843365	+	1.16079i	−0.109797	+	0.151122i	0.750582	+	0.660777i	$0.229773\pi$
$60$	5.66567	−	2.37688i	0.731434	−	0.306854i
$61$	−1.21110	+	0.393510i	−0.155066	+	0.0503838i	−0.385521	−	0.922699i	$-0.625978\pi$
$61$	−1.21110	+	0.393510i	−0.155066	+	0.0503838i	0.230456	+	0.973083i	$0.425978\pi$
$62$	−0.324552	−	0.235801i	−0.0412181	−	0.0299467i
$63$	−2.14043	−	2.10204i	−0.269668	−	0.264832i
$64$	0.309017	−	0.951057i	0.0386271	−	0.118882i
$65$	20.8340			2.58413
$66$	5.65095	+	1.03286i	0.695583	+	0.127137i
$67$	9.40320			1.14878			0.574392	−	0.818580i	$-0.305239\pi$
$67$	9.40320			1.14878			0.574392	+	0.818580i	$0.305239\pi$
$68$	−2.31468	+	7.12386i	−0.280697	+	0.863895i
$69$	−3.82496	−	4.43764i	−0.460471	−	0.534229i
$70$	−2.86980	−	2.08503i	−0.343007	−	0.249209i
$71$	−3.46695	+	1.12648i	−0.411452	+	0.133689i	−0.507427	−	0.861695i	$-0.669403\pi$
$71$	−3.46695	+	1.12648i	−0.411452	+	0.133689i	0.0959748	+	0.995384i	$0.469403\pi$
$72$	−1.38610	−	2.66059i	−0.163353	−	0.313553i
$73$	−1.72995	+	2.38107i	−0.202475	+	0.278683i	−0.898164	−	0.439660i	$-0.855099\pi$
$73$	−1.72995	+	2.38107i	−0.202475	+	0.278683i	0.695689	+	0.718343i	$0.255099\pi$
$74$	8.42315	−	6.11978i	0.979171	−	0.711410i
$75$	3.00834	−	12.7852i	0.347373	−	1.47630i
$76$		−	4.89346i		−	0.561319i
$77$	−1.18224	−	3.09876i	−0.134728	−	0.353137i
$78$	−0.844013	−	10.1377i	−0.0955656	−	1.14787i
$79$	11.2390	+	3.65177i	1.26448	+	0.410856i	0.863090	−	0.505050i	$-0.168526\pi$
$79$	11.2390	+	3.65177i	1.26448	+	0.410856i	0.401394	+	0.915906i	$0.368526\pi$
$80$	−2.08503	−	2.86980i	−0.233114	−	0.320853i
$81$	−8.60843	−	2.62582i	−0.956492	−	0.291758i
$82$	0.220749	+	0.679395i	0.0243776	+	0.0750266i
$83$	3.11045	+	9.57298i	0.341416	+	1.05077i	0.963475	+	0.267800i	$0.0862966\pi$
$83$	3.11045	+	9.57298i	0.341416	+	1.05077i	−0.622058	+	0.782971i	$0.713703\pi$
$84$	−0.898304	+	1.48089i	−0.0980130	+	0.161579i
$85$	15.6179	+	21.4962i	1.69400	+	2.33159i
$86$	−0.686987	−	0.223216i	−0.0740798	−	0.0240700i
$87$	9.63100	−	0.801829i	1.03255	−	0.0859651i
$88$	−0.166804	−	3.31243i	−0.0177813	−	0.353106i
$89$			4.97760i			0.527624i	0.964574	+	0.263812i	$0.0849799\pi$
$89$			4.97760i			0.527624i	−0.964574	+	0.263812i	$0.915020\pi$
$90$	−10.5254	−	1.56958i	−1.10948	−	0.165449i
$91$	−4.75155	+	3.45220i	−0.498098	+	0.361889i
$92$	−1.98816	+	2.73646i	−0.207279	+	0.285296i
$93$	0.268806	+	0.640742i	0.0278739	+	0.0664419i
$94$	1.06256	−	0.345247i	0.109595	−	0.0356096i
$95$	−14.0433	−	10.2030i	−1.44081	−	1.04681i
$96$	−1.31196	+	1.13082i	−0.133901	+	0.115414i
$97$	−0.155827	+	0.479587i	−0.0158219	+	0.0486947i	−0.958656	−	0.284568i	$-0.908150\pi$
$97$	−0.155827	+	0.479587i	−0.0158219	+	0.0486947i	0.942834	+	0.333263i	$0.108150\pi$
$98$	1.00000			0.101015
$99$	−7.44063	−	6.60583i	−0.747812	−	0.663911i
$100$	−7.58311			−0.758311
$101$	−2.45725	+	7.56263i	−0.244505	+	0.752510i	0.751212	+	0.660061i	$0.229470\pi$
$101$	−2.45725	+	7.56263i	−0.244505	+	0.752510i	−0.995717	+	0.0924493i	$0.970530\pi$
$102$	9.82720	−	8.47040i	0.973038	−	0.838695i
$103$	−0.876361	−	0.636713i	−0.0863504	−	0.0627372i	0.543772	−	0.839233i	$-0.316995\pi$
$103$	−0.876361	−	0.636713i	−0.0863504	−	0.0627372i	−0.630123	+	0.776495i	$0.716995\pi$
$104$	−5.58578	+	1.81493i	−0.547731	+	0.177969i
$105$	2.37688	+	5.66567i	0.231960	+	0.552912i
$106$	−0.206762	+	0.284584i	−0.0200825	+	0.0276412i
$107$	6.67175	−	4.84731i	0.644982	−	0.468607i	−0.216576	−	0.976266i	$-0.569489\pi$
$107$	6.67175	−	4.84731i	0.644982	−	0.468607i	0.861558	+	0.507659i	$0.169489\pi$
$108$	−0.337350	+	5.18519i	−0.0324615	+	0.498945i
$109$			12.6616i			1.21276i	0.795176	+	0.606379i	$0.207379\pi$
$109$			12.6616i			1.21276i	−0.795176	+	0.606379i	$0.792621\pi$
$110$	−9.85379	−	6.42782i	−0.939522	−	0.612869i
$111$	−17.9712	+	1.49620i	−1.70575	+	0.142013i
$112$	0.951057	+	0.309017i	0.0898664	+	0.0291994i
$113$	−6.85842	−	9.43981i	−0.645186	−	0.888022i	0.353693	−	0.935362i	$-0.384926\pi$
$113$	−6.85842	−	9.43981i	−0.645186	−	0.888022i	−0.998879	+	0.0473392i	$0.984926\pi$
$114$	−4.39582	+	7.24670i	−0.411706	+	0.678716i
$115$	3.70773	+	11.4112i	0.345747	+	1.06410i
$116$	−1.72422	−	5.30661i	−0.160090	−	0.492706i
$117$	−7.85682	+	15.7710i	−0.726363	+	1.45803i
$118$	−0.843365	−	1.16079i	−0.0776380	−	0.106860i
$119$	−7.12386	−	2.31468i	−0.653043	−	0.212187i
$120$	0.509759	+	6.12286i	0.0465345	+	0.558938i
$121$	−4.43296	−	10.0672i	−0.402996	−	0.915202i
$122$		−	1.27343i		−	0.115291i
$123$	0.283397	−	1.20441i	0.0255531	−	0.108598i
$124$	0.324552	−	0.235801i	0.0291456	−	0.0211755i
$125$	−5.38586	+	7.41300i	−0.481726	+	0.663039i
$126$	2.66059	−	1.38610i	0.237024	−	0.123484i
$127$	13.0641	−	4.24479i	1.15925	−	0.376664i	0.334632	−	0.942349i	$-0.391388\pi$
$127$	13.0641	−	4.24479i	1.15925	−	0.376664i	0.824622	+	0.565684i	$0.191388\pi$
$128$	0.809017	+	0.587785i	0.0715077	+	0.0519534i
$129$	0.816840	+	0.947683i	0.0719188	+	0.0834388i
$130$	−6.43804	+	19.8143i	−0.564654	+	1.73783i
$131$	9.41608			0.822687			0.411343	−	0.911480i	$-0.365060\pi$
$131$	9.41608			0.822687			0.411343	+	0.911480i	$0.365060\pi$
$132$	−2.72855	+	5.05520i	−0.237490	+	0.439998i
$133$	4.89346			0.424317
$134$	−2.90575	+	8.94298i	−0.251018	+	0.772555i
$135$	14.1771	+	11.7794i	1.22017	+	1.01381i
$136$	−6.05992	−	4.40279i	−0.519634	−	0.377536i
$137$	4.67360	−	1.51855i	0.399293	−	0.129738i	−0.102485	−	0.994735i	$-0.532679\pi$
$137$	4.67360	−	1.51855i	0.399293	−	0.129738i	0.501778	+	0.864996i	$0.332679\pi$
$138$	5.40242	−	2.26644i	0.459885	−	0.192932i
$139$	8.57067	−	11.7965i	0.726954	−	1.00057i	−0.272310	−	0.962210i	$-0.587788\pi$
$139$	8.57067	−	11.7965i	0.726954	−	1.00057i	0.999264	−	0.0383573i	$-0.0122125\pi$
$140$	2.86980	−	2.08503i	0.242542	−	0.176217i
$141$	−1.88368	−	0.443229i	−0.158635	−	0.0373266i
$142$		−	3.64537i		−	0.305913i
$143$	−15.1633	+	12.2278i	−1.26802	+	1.02254i
$144$	2.95870	−	0.496092i	0.246558	−	0.0413410i
$145$	−18.8240	−	6.11627i	−1.56324	−	0.507929i
$146$	−1.72995	−	2.38107i	−0.143172	−	0.197059i
$147$	−1.48089	−	0.898304i	−0.122142	−	0.0740909i
$148$	3.21736	+	9.90201i	0.264465	+	0.813940i
$149$	2.16493	+	6.66296i	0.177358	+	0.545851i	0.999733	−	0.0230939i	$-0.00735168\pi$
$149$	2.16493	+	6.66296i	0.177358	+	0.545851i	−0.822376	+	0.568945i	$0.807352\pi$
$150$	11.2298	+	6.81194i	0.916908	+	0.556192i
$151$	−10.9857	−	15.1206i	−0.894006	−	1.23049i	−0.972341	−	0.233567i	$-0.924960\pi$
$151$	−10.9857	−	15.1206i	−0.894006	−	1.23049i	0.0783346	−	0.996927i	$-0.475040\pi$
$152$	4.65396	+	1.51216i	0.377486	+	0.122653i
$153$	−22.1620	+	3.71596i	−1.79170	+	0.300418i
$154$	3.31243	−	0.166804i	0.266923	−	0.0134414i
$155$		−	1.42305i		−	0.114302i
$156$	9.90232	+	2.33001i	0.792820	+	0.186550i
$157$	−9.71783	+	7.06042i	−0.775567	+	0.563483i	−0.903645	−	0.428281i	$-0.859119\pi$
$157$	−9.71783	+	7.06042i	−0.775567	+	0.563483i	0.128078	+	0.991764i	$0.459119\pi$
$158$	−6.94607	+	9.56045i	−0.552600	+	0.760588i
$159$	0.561835	−	0.235703i	0.0445564	−	0.0186925i
$160$	3.37365	−	1.09617i	0.266711	−	0.0866595i
$161$	−2.73646	−	1.98816i	−0.215663	−	0.156689i
$162$	5.15746	−	7.37568i	0.405208	−	0.579488i
$163$	−6.20017	+	19.0821i	−0.485634	+	1.49463i	0.345425	+	0.938446i	$0.387735\pi$
$163$	−6.20017	+	19.0821i	−0.485634	+	1.49463i	−0.831060	+	0.556183i	$0.812265\pi$
$164$	−0.714358			−0.0557820
$165$	8.81829	+	18.3706i	0.686503	+	1.43015i
$166$	−10.0656			−0.781244
$167$	4.34728	−	13.3796i	0.336403	−	1.03534i	−0.629624	−	0.776900i	$-0.716791\pi$
$167$	4.34728	−	13.3796i	0.336403	−	1.03534i	0.966027	−	0.258441i	$-0.0832088\pi$
$168$	−1.13082	−	1.31196i	−0.0872449	−	0.101220i
$169$	17.3898	+	12.6344i	1.33767	+	0.971878i
$170$	−25.2702	+	8.21080i	−1.93814	+	0.629740i
$171$	13.0195	−	6.78283i	0.995625	−	0.518696i
$172$	0.424582	−	0.584386i	0.0323740	−	0.0445590i
$173$	7.42441	−	5.39415i	0.564468	−	0.410110i	−0.268624	−	0.963245i	$-0.586569\pi$
$173$	7.42441	−	5.39415i	0.564468	−	0.410110i	0.833091	+	0.553135i	$0.186569\pi$
$174$	−2.21356	+	9.40740i	−0.167809	+	0.713173i
$175$		−	7.58311i		−	0.573229i
$176$	3.20185	+	0.864957i	0.241349	+	0.0651986i
$177$	0.206190	+	2.47661i	0.0154982	+	0.186153i
$178$	−4.73398	−	1.53816i	−0.354827	−	0.115290i
$179$	−13.7031	−	18.8607i	−1.02422	−	1.40972i	−0.909202	−	0.416355i	$-0.863307\pi$
$179$	−13.7031	−	18.8607i	−1.02422	−	1.40972i	−0.115018	−	0.993363i	$-0.536693\pi$
$180$	4.74529	−	9.52524i	0.353693	−	0.709969i
$181$	−5.82147	−	17.9166i	−0.432706	−	1.33173i	−0.895419	−	0.445224i	$-0.853124\pi$
$181$	−5.82147	−	17.9166i	−0.432706	−	1.33173i	0.462713	−	0.886508i	$-0.346876\pi$
$182$	−1.81493	−	5.58578i	−0.134532	−	0.414046i
$183$	−1.14392	+	1.88581i	−0.0845613	+	0.139403i
$184$	−1.98816	−	2.73646i	−0.146569	−	0.201735i
$185$	35.1251	+	11.4128i	2.58245	+	0.839088i
$186$	−0.692448	+	0.0576498i	−0.0507727	+	0.00422709i
$187$	−23.9834	−	6.47893i	−1.75384	−	0.473787i
$188$			1.11724i			0.0814834i
$189$	−5.18519	−	0.337350i	−0.377167	−	0.0245386i
$190$	14.0433	−	10.2030i	1.01881	−	0.740205i
$191$	8.86336	−	12.1994i	0.641330	−	0.882715i	−0.357356	−	0.933968i	$-0.616322\pi$
$191$	8.86336	−	12.1994i	0.641330	−	0.882715i	0.998686	+	0.0512533i	$0.0163216\pi$
$192$	−0.670059	−	1.59719i	−0.0483574	−	0.115267i
$193$	14.2701	−	4.63665i	1.02719	−	0.333753i	0.253510	−	0.967333i	$-0.418415\pi$
$193$	14.2701	−	4.63665i	1.02719	−	0.333753i	0.773678	+	0.633580i	$0.218415\pi$
$194$	−0.407961	−	0.296401i	−0.0292899	−	0.0212804i
$195$	27.3333	−	23.5595i	1.95738	−	1.68713i
$196$	−0.309017	+	0.951057i	−0.0220726	+	0.0679326i
$197$	20.2870			1.44539			0.722694	−	0.691169i	$-0.242904\pi$
$197$	20.2870			1.44539			0.722694	+	0.691169i	$0.242904\pi$
$198$	8.58180	−	5.03515i	0.609882	−	0.357832i
$199$	−0.394925			−0.0279955			−0.0139977	−	0.999902i	$-0.504456\pi$
$199$	−0.394925			−0.0279955			−0.0139977	+	0.999902i	$0.504456\pi$
$200$	2.34331	−	7.21196i	0.165697	−	0.509963i
$201$	12.3366	−	10.6334i	0.870158	−	0.750019i
$202$	−6.43316	−	4.67397i	−0.452636	−	0.328859i
$203$	5.30661	−	1.72422i	0.372451	−	0.121017i
$204$	5.01906	+	11.9637i	0.351404	+	0.837628i
$205$	−1.48946	+	2.05006i	−0.104028	+	0.143183i
$206$	0.876361	−	0.636713i	0.0610589	−	0.0443619i
$207$	−10.0364	−	1.49666i	−0.697576	−	0.104025i
$208$		−	5.87324i		−	0.407236i
$209$	16.2092	−	0.816248i	1.12122	−	0.0564611i
$210$	−6.12286	+	0.509759i	−0.422518	+	0.0351767i
$211$	−12.9320	−	4.20186i	−0.890275	−	0.289268i	−0.172058	−	0.985087i	$-0.555042\pi$
$211$	−12.9320	−	4.20186i	−0.890275	−	0.289268i	−0.718217	+	0.695819i	$0.755042\pi$
$212$	−0.206762	−	0.284584i	−0.0142005	−	0.0195453i
$213$	−3.27465	+	5.39841i	−0.224376	+	0.369893i
$214$	2.54838	+	7.84311i	0.174204	+	0.536144i
$215$	−0.791806	−	2.43693i	−0.0540007	−	0.166197i
$216$	−4.82716	−	1.92315i	−0.328447	−	0.130854i
$217$	0.235801	+	0.324552i	0.0160072	+	0.0220320i
$218$	−12.0419	−	3.91264i	−0.815578	−	0.264997i
$219$	0.422947	+	5.08014i	0.0285801	+	0.343284i
$220$	9.15821	−	7.38521i	0.617447	−	0.497911i
$221$			43.9933i			2.95931i
$222$	4.13045	−	17.5540i	0.277217	−	1.17815i
$223$	9.84311	−	7.15144i	0.659143	−	0.478896i	−0.207230	−	0.978292i	$-0.566445\pi$
$223$	9.84311	−	7.15144i	0.659143	−	0.478896i	0.866373	+	0.499397i	$0.166445\pi$
$224$	−0.587785	+	0.809017i	−0.0392731	+	0.0540547i
$225$	−10.5109	−	20.1755i	−0.700729	−	1.34503i
$226$	11.0972	−	3.60569i	0.738172	−	0.239847i
$227$	−13.5019	−	9.80968i	−0.896151	−	0.651091i	0.0413238	−	0.999146i	$-0.486842\pi$
$227$	−13.5019	−	9.80968i	−0.896151	−	0.651091i	−0.937474	+	0.348054i	$0.886842\pi$
$228$	−5.53364	−	6.42003i	−0.366474	−	0.425177i
$229$	8.61260	−	26.5069i	0.569137	−	1.75162i	−0.0861914	−	0.996279i	$-0.527470\pi$
$229$	8.61260	−	26.5069i	0.569137	−	1.75162i	0.655328	−	0.755344i	$-0.272530\pi$
$230$	−11.9985			−0.791155
$231$	−5.05520	−	2.72855i	−0.332608	−	0.179525i
$232$	5.57970			0.366325
$233$	2.51777	−	7.74890i	0.164945	−	0.507647i	−0.834088	−	0.551632i	$-0.814005\pi$
$233$	2.51777	−	7.74890i	0.164945	−	0.507647i	0.999032	+	0.0439847i	$0.0140053\pi$
$234$	−12.5712	−	12.3458i	−0.821807	−	0.807070i
$235$	3.20627	+	2.32949i	0.209154	+	0.151959i
$236$	1.36459	−	0.443383i	0.0888274	−	0.0288618i
$237$	18.8746	−	7.91833i	1.22604	−	0.514351i
$238$	4.40279	−	6.05992i	0.285390	−	0.392806i
$239$	−10.4313	+	7.57878i	−0.674744	+	0.490230i	−0.871610	−	0.490200i	$-0.836924\pi$
$239$	−10.4313	+	7.57878i	−0.674744	+	0.490230i	0.196866	+	0.980430i	$0.436924\pi$
$240$	−5.98071	−	1.40726i	−0.386053	−	0.0908382i
$241$		−	13.6473i		−	0.879097i	−0.898219	−	0.439549i	$-0.855138\pi$
$241$		−	13.6473i		−	0.879097i	0.898219	−	0.439549i	$-0.144862\pi$
$242$	10.9444	−	1.10505i	0.703530	−	0.0710354i
$243$	−14.2633	+	6.28964i	−0.914988	+	0.403480i
$244$	1.21110	+	0.393510i	0.0775328	+	0.0251919i
$245$	2.08503	+	2.86980i	0.133208	+	0.183345i
$246$	1.05789	+	0.641711i	0.0674485	+	0.0409140i
$247$	−8.88130	−	27.3338i	−0.565103	−	1.73921i
$248$	0.123968	+	0.381533i	0.00787196	+	0.0242274i
$249$	14.9061	+	9.04199i	0.944638	+	0.573013i
$250$	−5.38586	−	7.41300i	−0.340632	−	0.468839i
$251$	11.1956	+	3.63767i	0.706659	+	0.229607i	0.640230	−	0.768184i	$-0.278839\pi$
$251$	11.1956	+	3.63767i	0.706659	+	0.229607i	0.0664296	+	0.997791i	$0.478839\pi$
$252$	0.496092	+	2.95870i	0.0312508	+	0.186380i
$253$	−9.39596	−	6.12917i	−0.590719	−	0.385337i
$254$			13.7364i			0.861901i
$255$	44.7984	+	10.5410i	2.80538	+	0.660105i
$256$	−0.809017	+	0.587785i	−0.0505636	+	0.0367366i
$257$	−17.4352	+	23.9974i	−1.08758	+	1.49692i	−0.236678	+	0.971588i	$0.576059\pi$
$257$	−17.4352	+	23.9974i	−1.08758	+	1.49692i	−0.850898	+	0.525331i	$0.823941\pi$
$258$	−1.15372	+	0.484011i	−0.0718273	+	0.0301332i
$259$	−9.90201	+	3.21736i	−0.615281	+	0.199917i
$260$	−16.8550	−	12.2459i	−1.04530	−	0.759458i
$261$	11.7288	−	11.9429i	0.725992	−	0.739248i
$262$	−2.90973	+	8.95522i	−0.179764	+	0.553256i
$263$	6.55214			0.404022			0.202011	−	0.979383i	$-0.435252\pi$
$263$	6.55214			0.404022			0.202011	+	0.979383i	$0.435252\pi$
$264$	−3.96461	−	4.15715i	−0.244005	−	0.255855i
$265$	−1.24780			−0.0766519
$266$	−1.51216	+	4.65396i	−0.0927167	+	0.285353i
$267$	5.62878	+	6.53041i	0.344476	+	0.399654i
$268$	−7.60735	−	5.52706i	−0.464693	−	0.337619i
$269$	1.26944	−	0.412466i	0.0773992	−	0.0251485i	−0.270061	−	0.962843i	$-0.587044\pi$
$269$	1.26944	−	0.412466i	0.0773992	−	0.0251485i	0.347461	+	0.937695i	$0.387044\pi$
$270$	−15.5838	+	9.84316i	−0.948402	+	0.599035i
$271$	2.36938	−	3.26117i	0.143930	−	0.198102i	−0.730966	−	0.682414i	$-0.760930\pi$
$271$	2.36938	−	3.26117i	0.143930	−	0.198102i	0.874895	+	0.484312i	$0.160930\pi$
$272$	6.05992	−	4.40279i	0.367437	−	0.266958i
$273$	−2.33001	+	9.90232i	−0.141019	+	0.599315i
$274$			4.91412i			0.296873i
$275$	−1.26489	−	25.1185i	−0.0762758	−	1.51470i
$276$	0.486075	+	5.83838i	0.0292583	+	0.351429i
$277$	17.5076	+	5.68858i	1.05193	+	0.341793i	0.783426	−	0.621485i	$-0.213470\pi$
$277$	17.5076	+	5.68858i	1.05193	+	0.341793i	0.268506	+	0.963278i	$0.413470\pi$
$278$	8.57067	+	11.7965i	0.514034	+	0.707508i
$279$	1.07723	+	0.536655i	0.0644920	+	0.0321287i
$280$	1.09617	+	3.37365i	0.0655084	+	0.201614i
$281$	6.79881	+	20.9246i	0.405583	+	1.24826i	0.920407	+	0.390961i	$0.127857\pi$
$281$	6.79881	+	20.9246i	0.405583	+	1.24826i	−0.514824	+	0.857296i	$0.672143\pi$
$282$	1.00363	−	1.65452i	0.0597650	−	0.0985253i
$283$	2.40654	+	3.31231i	0.143054	+	0.196897i	0.874531	−	0.484969i	$-0.161169\pi$
$283$	2.40654	+	3.31231i	0.143054	+	0.196897i	−0.731478	+	0.681865i	$0.761169\pi$
$284$	3.46695	+	1.12648i	0.205726	+	0.0668444i
$285$	−29.9620	+	2.49449i	−1.77480	+	0.147761i
$286$	−6.94356	−	18.1998i	−0.410581	−	1.07617i
$287$		−	0.714358i		−	0.0421672i
$288$	−0.442477	+	2.96719i	−0.0260732	+	0.174843i
$289$	−31.6384	+	22.9866i	−1.86108	+	1.35215i
$290$	11.6338	−	16.0126i	0.683163	−	0.940293i
$291$	0.337889	+	0.805412i	0.0198074	+	0.0472141i
$292$	2.79912	−	0.909488i	0.163806	−	0.0532238i
$293$	24.2793	+	17.6400i	1.41841	+	1.03054i	0.992031	+	0.125993i	$0.0402118\pi$
$293$	24.2793	+	17.6400i	1.41841	+	1.03054i	0.426381	+	0.904543i	$0.359788\pi$
$294$	1.31196	−	1.13082i	0.0765150	−	0.0659510i
$295$	1.57280	−	4.84058i	0.0915719	−	0.281829i
$296$	−10.4116			−0.605161
$297$	−17.2318	−	0.252539i	−0.999893	−	0.0146538i
$298$	−7.00585			−0.405838
$299$	−6.13892	+	18.8936i	−0.355023	+	1.09265i
$300$	−9.94873	+	8.57515i	−0.574390	+	0.495087i
$301$	0.584386	+	0.424582i	0.0336835	+	0.0244725i
$302$	17.7753	−	5.77554i	1.02285	−	0.332345i
$303$	5.32819	+	12.7006i	0.306097	+	0.729630i
$304$	−2.87631	+	3.95890i	−0.164967	+	0.227058i
$305$	3.65448	−	2.65513i	0.209255	−	0.152033i
$306$	3.31436	−	22.2257i	0.189469	−	1.27056i
$307$			6.68281i			0.381408i	0.981648	+	0.190704i	$0.0610771\pi$
$307$			6.68281i			0.381408i	−0.981648	+	0.190704i	$0.938923\pi$
$308$	−0.864957	+	3.20185i	−0.0492855	+	0.182442i
$309$	−1.86976	+	0.155667i	−0.106367	+	0.00885559i
$310$	1.35340	+	0.439747i	0.0768680	+	0.0249759i
$311$	−5.66901	−	7.80272i	−0.321460	−	0.442452i	0.617452	−	0.786608i	$-0.288165\pi$
$311$	−5.66901	−	7.80272i	−0.321460	−	0.442452i	−0.938912	+	0.344157i	$0.888165\pi$
$312$	−5.27596	+	8.69765i	−0.298692	+	0.492407i
$313$	−7.69233	−	23.6746i	−0.434796	−	1.33817i	−0.893295	−	0.449470i	$-0.851613\pi$
$313$	−7.69233	−	23.6746i	−0.434796	−	1.33817i	0.458499	−	0.888695i	$-0.348387\pi$
$314$	−3.71188	−	11.4240i	−0.209474	−	0.644693i
$315$	9.52524	+	4.74529i	0.536686	+	0.267367i
$316$	−6.94607	−	9.56045i	−0.390747	−	0.537817i
$317$	−9.98334	−	3.24378i	−0.560720	−	0.182189i	0.0149249	−	0.999889i	$-0.495249\pi$
$317$	−9.98334	−	3.24378i	−0.560720	−	0.182189i	−0.575645	+	0.817700i	$0.695249\pi$
$318$	0.0505503	+	0.607173i	0.00283472	+	0.0340486i
$319$	17.2901	−	6.59652i	0.968062	−	0.369334i
$320$			3.54727i			0.198298i
$321$	3.27161	−	13.9040i	0.182604	−	0.776048i
$322$	2.73646	−	1.98816i	0.152497	−	0.110796i
$323$	21.5449	−	29.6540i	1.19879	−	1.64999i
$324$	5.42094	+	7.18424i	0.301164	+	0.399125i
$325$	−42.3576	+	13.7628i	−2.34958	+	0.763423i
$326$	−16.2322	−	11.7934i	−0.899021	−	0.653177i
$327$	14.3180	+	16.6115i	0.791787	+	0.918616i
$328$	0.220749	−	0.679395i	0.0121888	−	0.0375133i
$329$	−1.11724			−0.0615957
$330$	−20.1965	+	2.70986i	−1.11178	+	0.149173i
$331$	25.1499			1.38237			0.691183	−	0.722680i	$-0.257090\pi$
$331$	25.1499			1.38237			0.691183	+	0.722680i	$0.257090\pi$
$332$	3.11045	−	9.57298i	0.170708	−	0.525385i
$333$	−21.8856	+	22.2852i	−1.19932	+	1.22122i
$334$	11.3813	+	8.26902i	0.622759	+	0.452461i
$335$	−31.7231	+	10.3075i	−1.73322	+	0.563157i
$336$	1.59719	−	0.670059i	0.0871339	−	0.0365547i
$337$	−0.631049	+	0.868564i	−0.0343754	+	0.0473137i	−0.825859	−	0.563877i	$-0.809309\pi$
$337$	−0.631049	+	0.868564i	−0.0343754	+	0.0473137i	0.791483	+	0.611191i	$0.209309\pi$
$338$	−17.3898	+	12.6344i	−0.945879	+	0.687221i
$339$	−19.6727	−	4.62898i	−1.06848	−	0.251412i
$340$		−	26.5707i		−	1.44100i
$341$	0.835209	+	1.03572i	0.0452291	+	0.0560875i
$342$	2.42761	+	14.4783i	0.131270	+	0.782896i
$343$	−0.951057	−	0.309017i	−0.0513522	−	0.0166853i
$344$	0.424582	+	0.584386i	0.0228919	+	0.0315080i
$345$	17.7685	+	10.7783i	0.956622	+	0.580282i
$346$	2.83587	+	8.72792i	0.152458	+	0.469216i
$347$	4.49186	+	13.8245i	0.241136	+	0.742139i	0.996248	+	0.0865437i	$0.0275822\pi$
$347$	4.49186	+	13.8245i	0.241136	+	0.742139i	−0.755113	+	0.655595i	$0.772418\pi$
$348$	−8.26294	−	5.01226i	−0.442940	−	0.268686i
$349$	10.7352	+	14.7758i	0.574643	+	0.790928i	0.993095	−	0.117311i	$-0.0374273\pi$
$349$	10.7352	+	14.7758i	0.574643	+	0.790928i	−0.418452	+	0.908239i	$0.637427\pi$
$350$	7.21196	+	2.34331i	0.385496	+	0.125255i
$351$	7.52640	+	29.5756i	0.401729	+	1.57863i
$352$	−1.81205	+	2.77785i	−0.0965825	+	0.148060i
$353$		−	27.8533i		−	1.48248i	−0.671239	−	0.741241i	$-0.734238\pi$
$353$		−	27.8533i		−	1.48248i	0.671239	−	0.741241i	$-0.265762\pi$
$354$	−2.41911	−	0.569216i	−0.128574	−	0.0302535i
$355$	10.4615	−	7.60072i	0.555238	−	0.403404i
$356$	2.92576	−	4.02696i	0.155065	−	0.213428i
$357$	−11.9637	+	5.01906i	−0.633187	+	0.265637i
$358$	22.1721	−	7.20416i	1.17183	−	0.380752i
$359$	−13.4394	−	9.76433i	−0.709307	−	0.515342i	0.173643	−	0.984809i	$-0.444446\pi$
$359$	−13.4394	−	9.76433i	−0.709307	−	0.515342i	−0.882950	+	0.469467i	$0.844446\pi$
$360$	7.59266	+	7.45650i	0.400168	+	0.392992i
$361$	−1.52839	+	4.70391i	−0.0804418	+	0.247574i
$362$	18.8387			0.990138
$363$	−17.2001	−	8.19489i	−0.902772	−	0.430120i
$364$	5.87324			0.307841
$365$	3.22620	−	9.92922i	0.168867	−	0.519719i
$366$	−1.44002	−	1.67068i	−0.0752711	−	0.0873280i
$367$	−23.8528	−	17.3301i	−1.24511	−	0.904622i	−0.247178	−	0.968970i	$-0.579503\pi$
$367$	−23.8528	−	17.3301i	−1.24511	−	0.904622i	−0.997928	+	0.0643477i	$0.979503\pi$
$368$	3.21690	−	1.04523i	0.167693	−	0.0544866i
$369$	−0.990171	−	1.90061i	−0.0515462	−	0.0989419i
$370$	−21.7085	+	29.8792i	−1.12857	+	1.55334i
$371$	0.284584	−	0.206762i	0.0147748	−	0.0107345i
$372$	0.159150	−	0.676372i	0.00825154	−	0.0350682i
$373$			2.76222i			0.143023i	0.997440	+	0.0715113i	$0.0227822\pi$
$373$			2.76222i			0.143023i	−0.997440	+	0.0715113i	$0.977218\pi$
$374$	13.5731	−	20.8074i	0.701848	−	1.07593i
$375$	1.31676	+	15.8160i	0.0679973	+	0.816735i
$376$	−1.06256	−	0.345247i	−0.0547975	−	0.0178048i
$377$	−19.2622	−	26.5122i	−0.992056	−	1.36545i
$378$	1.92315	−	4.82716i	0.0989162	−	0.248282i
$379$	7.94085	+	24.4394i	0.407894	+	1.25537i	0.918454	+	0.395527i	$0.129438\pi$
$379$	7.94085	+	24.4394i	0.407894	+	1.25537i	−0.510560	+	0.859842i	$0.670562\pi$
$380$	5.36405	+	16.5088i	0.275170	+	0.846886i
$381$	12.3395	−	20.3422i	0.632172	−	1.04216i
$382$	8.86336	+	12.1994i	0.453489	+	0.624174i
$383$	26.3390	+	8.55807i	1.34586	+	0.437297i	0.891298	−	0.453417i	$-0.149795\pi$
$383$	26.3390	+	8.55807i	1.34586	+	0.437297i	0.454564	+	0.890714i	$0.349795\pi$
$384$	1.72608	−	0.143705i	0.0880836	−	0.00733341i
$385$	7.38521	+	9.15821i	0.376385	+	0.466746i
$386$			15.0045i			0.763710i
$387$	2.14332	+	0.319619i	0.108951	+	0.0162472i
$388$	0.407961	−	0.296401i	0.0207111	−	0.0150475i
$389$	−6.73520	+	9.27020i	−0.341488	+	0.470018i	−0.944875	−	0.327430i	$-0.893817\pi$
$389$	−6.73520	+	9.27020i	−0.341488	+	0.470018i	0.603387	+	0.797448i	$0.293817\pi$
$390$	13.9600	+	33.2758i	0.706891	+	1.68499i
$391$	−24.0961	+	7.82930i	−1.21859	+	0.395945i
$392$	−0.809017	−	0.587785i	−0.0408615	−	0.0296876i
$393$	12.3535	−	10.6479i	0.623152	−	0.537117i
$394$	−6.26902	+	19.2941i	−0.315829	+	0.972021i
$395$	−41.9193			−2.10919
$396$	2.13679	+	9.71772i	0.107378	+	0.488334i
$397$	−0.0270235			−0.00135627			−0.000678134	−	1.00000i	$-0.500216\pi$
$397$	−0.0270235			−0.00135627			−0.000678134		1.00000i	$0.500216\pi$
$398$	0.122038	−	0.375596i	0.00611723	−	0.0188269i
$399$	6.42003	−	5.53364i	0.321403	−	0.277029i
$400$	6.13486	+	4.45724i	0.306743	+	0.222862i
$401$	−4.03628	+	1.31147i	−0.201562	+	0.0654915i	−0.408058	−	0.912956i	$-0.633794\pi$
$401$	−4.03628	+	1.31147i	−0.201562	+	0.0654915i	0.206496	+	0.978447i	$0.433794\pi$
$402$	6.30070	+	15.0187i	0.314250	+	0.749065i
$403$	1.38491	−	1.90617i	0.0689875	−	0.0949531i
$404$	6.43316	−	4.67397i	0.320062	−	0.232538i
$405$	31.9202	−	0.577651i	1.58613	−	0.0287037i
$406$			5.57970i			0.276916i
$407$	−32.2630	+	12.3090i	−1.59922	+	0.610132i
$408$	−12.9291	+	1.07642i	−0.640088	+	0.0532906i
$409$	−6.12556	−	1.99032i	−0.302890	−	0.0984148i	0.153629	−	0.988129i	$-0.450904\pi$
$409$	−6.12556	−	1.99032i	−0.302890	−	0.0984148i	−0.456519	+	0.889714i	$0.650904\pi$
$410$	−1.48946	−	2.05006i	−0.0735591	−	0.101245i
$411$	4.41437	−	7.27729i	0.217745	−	0.358962i
$412$	0.334740	+	1.03022i	0.0164915	+	0.0507555i
$413$	0.443383	+	1.36459i	0.0218175	+	0.0671472i
$414$	4.52481	−	9.08267i	0.222382	−	0.446389i
$415$	−20.9871	−	28.8863i	−1.03022	−	1.41797i
$416$	5.58578	+	1.81493i	0.273866	+	0.0889843i
$417$	−2.09540	−	25.1685i	−0.102612	−	1.23250i
$418$	−4.23263	+	15.6681i	−0.207025	+	0.766354i
$419$		−	9.92118i		−	0.484681i	−0.970191	−	0.242341i	$-0.922085\pi$
$419$		−	9.92118i		−	0.484681i	0.970191	−	0.242341i	$-0.0779152\pi$
$420$	1.40726	−	5.98071i	0.0686672	−	0.291829i
$421$	15.4694	−	11.2392i	0.753931	−	0.547763i	−0.143112	−	0.989707i	$-0.545711\pi$
$421$	15.4694	−	11.2392i	0.753931	−	0.547763i	0.897043	+	0.441944i	$0.145711\pi$
$422$	7.99241	−	11.0006i	0.389064	−	0.535501i
$423$	−2.97253	+	1.54861i	−0.144529	+	0.0752961i
$424$	0.334548	−	0.108701i	0.0162471	−	0.00527900i
$425$	−45.9530	−	33.3868i	−2.22905	−	1.61950i
$426$	−4.12227	−	4.78258i	−0.199725	−	0.231717i
$427$	−0.393510	+	1.21110i	−0.0190433	+	0.0586093i
$428$	−8.24673			−0.398621
$429$	−6.06625	+	33.1894i	−0.292881	+	1.60240i
$430$	2.56234			0.123567
$431$	1.42293	−	4.37933i	0.0685401	−	0.210945i	−0.910920	−	0.412583i	$-0.864627\pi$
$431$	1.42293	−	4.37933i	0.0685401	−	0.210945i	0.979460	+	0.201638i	$0.0646266\pi$
$432$	3.32070	−	3.99662i	0.159767	−	0.192287i
$433$	10.5893	+	7.69358i	0.508890	+	0.369730i	0.812402	−	0.583098i	$-0.198159\pi$
$433$	10.5893	+	7.69358i	0.508890	+	0.369730i	−0.303513	+	0.952827i	$0.598159\pi$
$434$	−0.381533	+	0.123968i	−0.0183142	+	0.00595064i
$435$	−31.6127	+	13.2623i	−1.51571	+	0.635877i
$436$	7.44228	−	10.2434i	0.356421	−	0.490571i
$437$	13.3908	−	9.72896i	0.640567	−	0.465399i
$438$	−4.96220	−	1.16760i	−0.237103	−	0.0557902i
$439$			35.1032i			1.67538i	0.546143	+	0.837692i	$0.316096\pi$
$439$			35.1032i			1.67538i	−0.546143	+	0.837692i	$0.683904\pi$
$440$	4.19371	+	10.9921i	0.199927	+	0.524029i
$441$	−2.95870	+	0.496092i	−0.140890	+	0.0236234i
$442$	−41.8402	−	13.5947i	−1.99013	−	0.646633i
$443$	−9.28132	−	12.7746i	−0.440969	−	0.606941i	0.529458	−	0.848336i	$-0.322395\pi$
$443$	−9.28132	−	12.7746i	−0.440969	−	0.606941i	−0.970427	+	0.241395i	$0.922395\pi$
$444$	15.4185	+	9.35277i	0.731728	+	0.443863i
$445$	−5.45627	−	16.7927i	−0.258652	−	0.796049i
$446$	3.75973	+	11.5713i	0.178028	+	0.547915i
$447$	10.3749	+	6.29339i	0.490717	+	0.297667i
$448$	−0.587785	−	0.809017i	−0.0277702	−	0.0382225i
$449$	22.3072	+	7.24806i	1.05274	+	0.342057i	0.783744	−	0.621084i	$-0.213307\pi$
$449$	22.3072	+	7.24806i	1.05274	+	0.342057i	0.268999	+	0.963141i	$0.413307\pi$
$450$	22.4361	−	3.76192i	1.05765	−	0.177338i
$451$	−0.119158	−	2.36626i	−0.00561091	−	0.111423i
$452$			11.6682i			0.548828i
$453$	−31.5115	−	7.41465i	−1.48054	−	0.348370i
$454$	13.5019	−	9.80968i	0.633674	−	0.460391i
$455$	12.2459	−	16.8550i	0.574096	−	0.790176i
$456$	7.81580	−	3.27891i	0.366008	−	0.153549i
$457$	−9.92969	+	3.22635i	−0.464491	+	0.150922i	−0.531907	−	0.846803i	$-0.678525\pi$
$457$	−9.92969	+	3.22635i	−0.464491	+	0.150922i	0.0674159	+	0.997725i	$0.478525\pi$
$458$	22.5481	+	16.3821i	1.05360	+	0.765487i
$459$	−24.8736	+	29.9366i	−1.16100	+	1.39732i
$460$	3.70773	−	11.4112i	0.172874	−	0.532051i
$461$	−13.5068			−0.629074			−0.314537	−	0.949245i	$-0.601849\pi$
$461$	−13.5068			−0.629074			−0.314537	+	0.949245i	$0.601849\pi$
$462$	4.15715	−	3.96461i	0.193408	−	0.184450i
$463$	−0.0440322			−0.00204635			−0.00102317	−	0.999999i	$-0.500326\pi$
$463$	−0.0440322			−0.00204635			−0.00102317	+	0.999999i	$0.500326\pi$
$464$	−1.72422	+	5.30661i	−0.0800449	+	0.246353i
$465$	−1.60922	−	1.86698i	−0.0746257	−	0.0865793i
$466$	6.59161	+	4.78908i	0.305350	+	0.221850i
$467$	28.3800	−	9.22122i	1.31327	−	0.426707i	0.433091	−	0.901350i	$-0.357423\pi$
$467$	28.3800	−	9.22122i	1.31327	−	0.426707i	0.880178	+	0.474643i	$0.157423\pi$
$468$	15.6263	−	8.14089i	0.722325	−	0.376313i
$469$	5.52706	−	7.60735i	0.255216	−	0.351275i
$470$	−3.20627	+	2.32949i	−0.147894	+	0.107451i
$471$	−4.76532	+	20.2521i	−0.219574	+	0.933169i
$472$			1.43482i			0.0660429i
$473$	2.00656	+	1.30892i	0.0922617	+	0.0601841i
$474$	1.69821	+	20.3977i	0.0780014	+	0.936897i
$475$	35.2915	+	11.4669i	1.61928	+	0.526137i
$476$	4.40279	+	6.05992i	0.201802	+	0.277756i
$477$	0.470567	−	0.944570i	0.0215458	−	0.0432489i
$478$	−3.98440	−	12.2627i	−0.182242	−	0.560884i
$479$	5.84234	+	17.9809i	0.266943	+	0.821567i	0.991239	+	0.132078i	$0.0421648\pi$
$479$	5.84234	+	17.9809i	0.266943	+	0.821567i	−0.724296	+	0.689489i	$0.757835\pi$
$480$	3.18653	−	5.25313i	0.145444	−	0.239771i
$481$	35.9429	+	49.4712i	1.63886	+	2.25569i
$482$	12.9793	+	4.21723i	0.591192	+	0.192090i
$483$	−5.83838	+	0.486075i	−0.265655	+	0.0221172i
$484$	−2.33103	+	10.7502i	−0.105956	+	0.488644i
$485$		−	1.78877i		−	0.0812240i
$486$	−1.57421	−	15.5088i	−0.0714078	−	0.703492i
$487$	−16.7636	+	12.1795i	−0.759633	+	0.551906i	−0.898798	−	0.438364i	$-0.855558\pi$
$487$	−16.7636	+	12.1795i	−0.759633	+	0.551906i	0.139165	+	0.990269i	$0.455558\pi$
$488$	−0.748501	+	1.03022i	−0.0338831	+	0.0466360i
$489$	13.4442	+	32.0463i	0.607966	+	1.44918i
$490$	−3.37365	+	1.09617i	−0.152406	+	0.0495197i
$491$	11.8550	+	8.61314i	0.535007	+	0.388706i	0.822227	−	0.569159i	$-0.192731\pi$
$491$	11.8550	+	8.61314i	0.535007	+	0.388706i	−0.287220	+	0.957865i	$0.592731\pi$
$492$	−0.937209	+	0.807813i	−0.0422526	+	0.0364190i
$493$	12.9152	−	39.7490i	0.581673	−	1.79020i
$494$	28.7405			1.29310
$495$	32.3432	+	14.1296i	1.45372	+	0.635078i
$496$	−0.401168			−0.0180130
$497$	−1.12648	+	3.46695i	−0.0505296	+	0.155514i
$498$	−13.2057	+	11.3824i	−0.591761	+	0.510059i
$499$	12.3645	+	8.98335i	0.553512	+	0.402150i	0.829079	−	0.559132i	$-0.188866\pi$
$499$	12.3645	+	8.98335i	0.553512	+	0.402150i	−0.275567	+	0.961282i	$0.588866\pi$
$500$	8.71450	−	2.83151i	0.389724	−	0.126629i
$501$	−9.42646	−	22.4694i	−0.421143	−	1.00386i
$502$	−6.91925	+	9.52354i	−0.308821	+	0.425056i
$503$	6.77449	−	4.92195i	0.302059	−	0.219459i	−0.426422	−	0.904524i	$-0.640226\pi$
$503$	6.77449	−	4.92195i	0.302059	−	0.219459i	0.728482	+	0.685065i	$0.240226\pi$
$504$	−2.96719	−	0.442477i	−0.132169	−	0.0197095i
$505$		−	28.2072i		−	1.25521i
$506$	8.73270	−	7.04207i	0.388216	−	0.313058i
$507$	37.1020	−	3.08893i	1.64776	−	0.137184i
$508$	−13.0641	−	4.24479i	−0.579627	−	0.188332i
$509$	−7.01353	−	9.65330i	−0.310869	−	0.427875i	0.624783	−	0.780799i	$-0.285187\pi$
$509$	−7.01353	−	9.65330i	−0.310869	−	0.427875i	−0.935652	+	0.352924i	$0.885187\pi$
$510$	−23.8686	+	39.3484i	−1.05692	+	1.74238i
$511$	0.909488	+	2.79912i	0.0402334	+	0.123826i
$512$	−0.309017	−	0.951057i	−0.0136568	−	0.0420312i
$513$	9.41087	−	23.6215i	0.415500	−	1.04292i
$514$	−17.4352	−	23.9974i	−0.769032	−	1.05848i
$515$	3.65448	+	1.18741i	0.161036	+	0.0523236i
$516$	−0.103804	−	1.24682i	−0.00456971	−	0.0548881i
$517$	−3.70079	+	0.186361i	−0.162761	+	0.00819613i
$518$		−	10.4116i		−	0.457459i
$519$	3.64070	−	15.4726i	0.159809	−	0.679172i
$520$	16.8550	−	12.2459i	0.739142	−	0.537018i
$521$	−17.2432	+	23.7333i	−0.755440	+	1.03977i	0.242140	+	0.970241i	$0.422151\pi$
$521$	−17.2432	+	23.7333i	−0.755440	+	1.03977i	−0.997580	+	0.0695327i	$0.977849\pi$
$522$	7.73401	+	14.8453i	0.338509	+	0.649760i
$523$	−33.6825	+	10.9441i	−1.47283	+	0.478553i	−0.931963	−	0.362553i	$-0.881905\pi$
$523$	−33.6825	+	10.9441i	−1.47283	+	0.478553i	−0.540871	+	0.841106i	$0.681905\pi$
$524$	−7.61777	−	5.53463i	−0.332784	−	0.241782i
$525$	−8.57515	−	9.94873i	−0.374250	−	0.434198i
$526$	−2.02472	+	6.23145i	−0.0882821	+	0.271704i
$527$	3.00494			0.130897
$528$	5.17881	−	2.48594i	0.225379	−	0.108187i
$529$	11.5590			0.502566
$530$	0.385592	−	1.18673i	0.0167491	−	0.0515483i
$531$	3.07112	+	3.01605i	0.133275	+	0.130885i
$532$	−3.95890	−	2.87631i	−0.171640	−	0.124704i
$533$	−3.99025	+	1.29651i	−0.172837	+	0.0561581i
$534$	−7.95018	+	3.33528i	−0.344038	+	0.144332i
$535$	−17.1947	+	23.6665i	−0.743392	+	1.02319i
$536$	7.60735	−	5.52706i	0.328587	−	0.238733i
$537$	−39.3061	−	9.24871i	−1.69618	−	0.399111i
$538$			1.33477i			0.0575460i
$539$	−3.20185	−	0.864957i	−0.137913	−	0.0372563i
$540$	−4.54573	−	17.8628i	−0.195617	−	0.768693i
$541$	11.4271	+	3.71289i	0.491289	+	0.159630i	0.544176	−	0.838971i	$-0.316842\pi$
$541$	11.4271	+	3.71289i	0.491289	+	0.159630i	−0.0528869	+	0.998601i	$0.516842\pi$
$542$	2.36938	+	3.26117i	0.101774	+	0.140079i
$543$	−27.8981	−	16.9228i	−1.19722	−	0.726229i
$544$	2.31468	+	7.12386i	0.0992412	+	0.305433i
$545$	−13.8792	−	42.7157i	−0.594519	−	1.82974i
$546$	−8.69765	−	5.27596i	−0.372225	−	0.225790i
$547$	−17.6703	−	24.3211i	−0.755527	−	1.03989i	−0.997573	−	0.0696295i	$-0.977818\pi$
$547$	−17.6703	−	24.3211i	−0.755527	−	1.03989i	0.242045	−	0.970265i	$-0.422182\pi$
$548$	−4.67360	−	1.51855i	−0.199646	−	0.0648691i
$549$	0.631736	+	3.76768i	0.0269618	+	0.160801i
$550$	24.2800	+	6.55906i	1.03530	+	0.279679i
$551$			27.3040i			1.16319i
$552$	−5.70283	−	1.34187i	−0.242729	−	0.0571139i
$553$	9.56045	−	6.94607i	0.406551	−	0.295377i
$554$	−10.8203	+	14.8929i	−0.459711	+	0.632738i
$555$	58.9886	−	24.7471i	2.50393	−	1.05046i
$556$	−13.8676	+	4.50587i	−0.588119	+	0.191091i
$557$	6.85674	+	4.98172i	0.290530	+	0.211082i	0.723497	−	0.690327i	$-0.242534\pi$
$557$	6.85674	+	4.98172i	0.290530	+	0.211082i	−0.432968	+	0.901410i	$0.642534\pi$
$558$	−0.843272	+	0.858670i	−0.0356985	+	0.0363504i
$559$	1.31100	−	4.03484i	0.0554494	−	0.170656i
$560$	−3.54727			−0.149899
$561$	−38.7918	+	18.6209i	−1.63779	+	0.786174i
$562$	−22.0014			−0.928074
$563$	−12.0008	+	36.9347i	−0.505774	+	1.55661i	0.293693	+	0.955900i	$0.405116\pi$
$563$	−12.0008	+	36.9347i	−0.505774	+	1.55661i	−0.799466	+	0.600711i	$0.794884\pi$
$564$	1.26341	+	1.46578i	0.0531990	+	0.0617205i
$565$	33.4855	+	24.3287i	1.40875	+	1.02351i
$566$	−3.89386	+	1.26519i	−0.163671	+	0.0531799i
$567$	−7.18424	+	5.42094i	−0.301710	+	0.227658i
$568$	−2.14270	+	2.94917i	−0.0899055	+	0.123744i
$569$	−2.37823	+	1.72789i	−0.0997006	+	0.0724367i	−0.636519	−	0.771261i	$-0.719626\pi$
$569$	−2.37823	+	1.72789i	−0.0997006	+	0.0724367i	0.536818	+	0.843698i	$0.319626\pi$
$570$	6.88637	−	29.2664i	0.288438	−	1.22583i
$571$			7.04914i			0.294997i	0.989062	+	0.147499i	$0.0471222\pi$
$571$			7.04914i			0.294997i	−0.989062	+	0.147499i	$0.952878\pi$
$572$	19.4547	−	0.979678i	0.813441	−	0.0409624i
$573$	−2.16696	−	26.0280i	−0.0905261	−	1.08733i
$574$	0.679395	+	0.220749i	0.0283574	+	0.00921387i
$575$	−15.0764	−	20.7509i	−0.628729	−	0.865371i
$576$	−2.68523	−	1.33773i	−0.111885	−	0.0557388i
$577$	4.40535	+	13.5583i	0.183397	+	0.564438i	0.999917	−	0.0128791i	$-0.00409965\pi$
$577$	4.40535	+	13.5583i	0.183397	+	0.564438i	−0.816520	+	0.577317i	$0.804100\pi$
$578$	−12.0848	−	37.1931i	−0.502661	−	1.54703i
$579$	13.4786	−	22.2201i	0.560152	−	0.923436i
$580$	11.6338	+	16.0126i	0.483069	+	0.664887i
$581$	9.57298	+	3.11045i	0.397154	+	0.129043i
$582$	−0.870406	+	0.0724657i	−0.0360795	+	0.00300380i
$583$	0.908174	−	0.732354i	0.0376127	−	0.0303310i
$584$			2.94317i			0.121789i
$585$	9.21854	−	61.8183i	0.381140	−	2.55587i
$586$	−24.2793	+	17.6400i	−1.00297	+	0.728700i
$587$	−5.72420	+	7.87869i	−0.236263	+	0.325188i	−0.910641	−	0.413198i	$-0.864412\pi$
$587$	−5.72420	+	7.87869i	−0.236263	+	0.325188i	0.674378	+	0.738386i	$0.264412\pi$
$588$	0.670059	+	1.59719i	0.0276328	+	0.0658671i
$589$	−1.86702	+	0.606632i	−0.0769292	+	0.0249958i
$590$	4.11764	+	2.99164i	0.169521	+	0.123164i
$591$	26.6157	−	22.9410i	1.09482	−	0.943666i
$592$	3.21736	−	9.90201i	0.132233	−	0.406970i
$593$	13.3536			0.548368			0.274184	−	0.961677i	$-0.411592\pi$
$593$	13.3536			0.548368			0.274184	+	0.961677i	$0.411592\pi$
$594$	5.56511	−	16.3104i	0.228339	−	0.669224i
$595$	26.5707			1.08929
$596$	2.16493	−	6.66296i	0.0886789	−	0.272926i
$597$	−0.518125	+	0.446590i	−0.0212054	+	0.0182777i
$598$	−16.0719	−	11.6769i	−0.657228	−	0.477504i
$599$	−44.0446	+	14.3110i	−1.79961	+	0.584730i	−0.999878	−	0.0156208i	$-0.995028\pi$
$599$	−44.0446	+	14.3110i	−1.79961	+	0.584730i	−0.799737	+	0.600351i	$0.795028\pi$
$600$	−5.08113	−	12.1117i	−0.207436	−	0.494457i
$601$	−4.40260	+	6.05967i	−0.179586	+	0.247179i	−0.889314	−	0.457297i	$-0.848818\pi$
$601$	−4.40260	+	6.05967i	−0.179586	+	0.247179i	0.709728	+	0.704476i	$0.248818\pi$
$602$	−0.584386	+	0.424582i	−0.0238178	+	0.0173047i
$603$	4.16070	−	27.9011i	0.169437	−	1.13622i
$604$			18.6900i			0.760487i
$605$	25.9906	+	29.1040i	1.05667	+	1.18325i
$606$	−13.7255	+	1.14272i	−0.557559	+	0.0464196i
$607$	15.7738	+	5.12522i	0.640239	+	0.208026i	0.611105	−	0.791549i	$-0.290725\pi$
$607$	15.7738	+	5.12522i	0.640239	+	0.208026i	0.0291336	+	0.999576i	$0.490725\pi$
$608$	−2.87631	−	3.95890i	−0.116650	−	0.160554i
$609$	5.01226	−	8.26294i	0.203107	−	0.334831i
$610$	1.39589	+	4.29610i	0.0565178	+	0.173944i
$611$	2.02772	+	6.24068i	0.0820328	+	0.252471i
$612$	20.1137	+	10.0202i	0.813046	+	0.405044i
$613$	−11.8704	−	16.3382i	−0.479440	−	0.659892i	0.498957	−	0.866626i	$-0.333716\pi$
$613$	−11.8704	−	16.3382i	−0.479440	−	0.659892i	−0.978397	+	0.206734i	$0.933716\pi$
$614$	−6.35573	−	2.06510i	−0.256496	−	0.0833407i
$615$	0.364151	+	4.37392i	0.0146840	+	0.176373i
$616$	−2.77785	−	1.81205i	−0.111923	−	0.0730095i
$617$		−	45.2043i		−	1.81986i	−0.414765	−	0.909929i	$-0.636136\pi$
$617$		−	45.2043i		−	1.81986i	0.414765	−	0.909929i	$-0.363864\pi$
$618$	0.429740	−	1.82635i	0.0172867	−	0.0734666i
$619$	−11.6635	+	8.47402i	−0.468795	+	0.340600i	−0.796972	−	0.604017i	$-0.793566\pi$
$619$	−11.6635	+	8.47402i	−0.468795	+	0.340600i	0.328176	+	0.944616i	$0.393566\pi$
$620$	−0.836448	+	1.15127i	−0.0335926	+	0.0462362i
$621$	−14.8598	+	9.38582i	−0.596302	+	0.376640i
$622$	9.17265	−	2.98038i	0.367790	−	0.119502i
$623$	4.02696	+	2.92576i	0.161337	+	0.117218i
$624$	−6.64160	−	7.70545i	−0.265877	−	0.308465i
$625$	−1.67241	+	5.14715i	−0.0668964	+	0.205886i
$626$	24.8929			0.994921
$627$	20.3428	−	19.4007i	0.812415	−	0.774788i
$628$	12.0119			0.479327
$629$	−24.0995	+	74.1707i	−0.960911	+	2.95738i
$630$	−7.45650	+	7.59266i	−0.297074	+	0.302499i
$631$	−1.08246	−	0.786456i	−0.0430922	−	0.0313083i	0.566031	−	0.824384i	$-0.308478\pi$
$631$	−1.08246	−	0.786456i	−0.0430922	−	0.0313083i	−0.609123	+	0.793076i	$0.708478\pi$
$632$	11.2390	−	3.65177i	0.447063	−	0.145259i
$633$	−21.7178	+	9.11113i	−0.863206	+	0.362135i
$634$	6.17004	−	8.49234i	0.245044	−	0.337274i
$635$	−39.4208	+	28.6409i	−1.56437	+	1.13658i
$636$	−0.593077	−	0.139551i	−0.0235170	−	0.00553355i
$637$			5.87324i			0.232706i
$638$	0.930714	+	18.4823i	0.0368473	+	0.731723i
$639$	1.80844	+	10.7856i	0.0715407	+	0.426670i
$640$	−3.37365	−	1.09617i	−0.133355	−	0.0433298i
$641$	−5.14547	−	7.08213i	−0.203234	−	0.279727i	0.695219	−	0.718798i	$-0.255308\pi$
$641$	−5.14547	−	7.08213i	−0.203234	−	0.279727i	−0.898452	+	0.439071i	$0.855308\pi$
$642$	12.2125	+	7.40808i	0.481991	+	0.292373i
$643$	−2.58491	−	7.95555i	−0.101939	−	0.313736i	0.887061	−	0.461653i	$-0.152743\pi$
$643$	−2.58491	−	7.95555i	−0.101939	−	0.313736i	−0.989000	+	0.147916i	$0.952743\pi$
$644$	1.04523	+	3.21690i	0.0411880	+	0.126764i
$645$	−3.79455	−	2.30176i	−0.149410	−	0.0906317i
$646$	21.5449	+	29.6540i	0.847672	+	1.16672i
$647$	−12.7785	−	4.15198i	−0.502374	−	0.163231i	0.0468572	−	0.998902i	$-0.485079\pi$
$647$	−12.7785	−	4.15198i	−0.502374	−	0.163231i	−0.549231	+	0.835670i	$0.685079\pi$
$648$	−8.50779	+	2.93557i	−0.334217	+	0.115320i
$649$	1.69629	+	4.44616i	0.0665854	+	0.174527i
$650$		−	44.5374i		−	1.74690i
$651$	0.676372	+	0.159150i	0.0265091	+	0.00623758i
$652$	16.2322	−	11.7934i	0.635704	−	0.461866i
$653$	7.73150	−	10.6415i	0.302557	−	0.416434i	−0.630485	−	0.776201i	$-0.717144\pi$
$653$	7.73150	−	10.6415i	0.302557	−	0.416434i	0.933042	+	0.359768i	$0.117144\pi$
$654$	−20.2229	+	8.48400i	−0.790780	+	0.331751i
$655$	−31.7666	+	10.3216i	−1.24122	+	0.403298i
$656$	0.577928	+	0.419889i	0.0225643	+	0.0163939i
$657$	6.29963	+	6.18666i	0.245772	+	0.241364i
$658$	0.345247	−	1.06256i	0.0134591	−	0.0414230i
$659$	−15.8605			−0.617836			−0.308918	−	0.951089i	$-0.599967\pi$
$659$	−15.8605			−0.617836			−0.308918	+	0.951089i	$0.599967\pi$
$660$	3.66384	−	20.0454i	0.142615	−	0.780267i
$661$	−16.4771			−0.640884			−0.320442	−	0.947268i	$-0.603831\pi$
$661$	−16.4771			−0.640884			−0.320442	+	0.947268i	$0.603831\pi$
$662$	−7.77176	+	23.9190i	−0.302058	+	0.929638i
$663$	49.7487	+	57.7175i	1.93208	+	2.24156i
$664$	8.14326	+	5.91643i	0.316020	+	0.229602i
$665$	−16.5088	+	5.36405i	−0.640185	+	0.208009i
$666$	−14.4315	−	27.7009i	−0.559209	−	1.07339i
$667$	11.0933	−	15.2686i	0.429534	−	0.591203i
$668$	−11.3813	+	8.26902i	−0.440357	+	0.319938i
$669$	4.82675	−	20.5132i	0.186613	−	0.793087i
$670$		−	33.3557i		−	1.28864i
$671$	−1.10146	+	4.07732i	−0.0425213	+	0.157403i
$672$	0.143705	+	1.72608i	0.00554353	+	0.0665849i
$673$	14.4758	+	4.70346i	0.558000	+	0.181305i	0.574421	−	0.818560i	$-0.305227\pi$
$673$	14.4758	+	4.70346i	0.558000	+	0.181305i	−0.0164212	+	0.999865i	$0.505227\pi$
$674$	−0.631049	−	0.868564i	−0.0243071	−	0.0334558i
$675$	−36.6049	−	14.5835i	−1.40892	−	0.561317i
$676$	−6.64230	−	20.4429i	−0.255473	−	0.786266i
$677$	8.25578	+	25.4087i	0.317295	+	0.976534i	0.974799	+	0.223083i	$0.0716122\pi$
$677$	8.25578	+	25.4087i	0.317295	+	0.976534i	−0.657504	+	0.753451i	$0.728388\pi$
$678$	10.4816	−	17.2794i	0.402545	−	0.663613i
$679$	0.296401	+	0.407961i	0.0113748	+	0.0156561i
$680$	25.2702	+	8.21080i	0.969070	+	0.314870i
$681$	−28.8069	+	2.39832i	−1.10388	+	0.0919039i
$682$	−1.24312	+	0.474275i	−0.0476017	+	0.0181609i
$683$			5.28754i			0.202322i	0.994870	+	0.101161i	$0.0322557\pi$
$683$			5.28754i			0.202322i	−0.994870	+	0.101161i	$0.967744\pi$
$684$	−14.5198	−	2.16524i	−0.555180	−	0.0827901i
$685$	−14.1025	+	10.2461i	−0.538830	+	0.391483i
$686$	0.587785	−	0.809017i	0.0224417	−	0.0308884i
$687$	−18.6752	−	44.5153i	−0.712503	−	1.69836i
$688$	−0.686987	+	0.223216i	−0.0261911	+	0.00851002i
$689$	−1.67143	−	1.21436i	−0.0636763	−	0.0462635i
$690$	−15.7415	+	13.5681i	−0.599268	+	0.516530i
$691$	1.68727	−	5.19288i	0.0641868	−	0.197547i	−0.913820	−	0.406119i	$-0.866882\pi$
$691$	1.68727	−	5.19288i	0.0641868	−	0.197547i	0.978007	+	0.208573i	$0.0668818\pi$
$692$	−9.17708			−0.348860
$693$	−9.71772	+	2.13679i	−0.369146	+	0.0811699i
$694$	−14.5360			−0.551777
$695$	−15.9835	+	49.1922i	−0.606289	+	1.86597i
$696$	7.32034	−	6.30965i	0.277477	−	0.239167i
$697$	−4.32895	−	3.14517i	−0.163971	−	0.119132i
$698$	−17.3699	+	5.64384i	−0.657462	+	0.213622i
$699$	−5.45943	−	13.0134i	−0.206494	−	0.492212i
$700$	−4.45724	+	6.13486i	−0.168468	+	0.231876i
$701$	−17.8029	+	12.9346i	−0.672406	+	0.488532i	−0.870830	−	0.491585i	$-0.836418\pi$
$701$	−17.8029	+	12.9346i	−0.672406	+	0.488532i	0.198423	+	0.980116i	$0.436418\pi$
$702$	−30.4539	−	1.98134i	−1.14941	−	0.0747808i
$703$		−	50.9487i		−	1.92157i
$704$	−2.08194	−	2.58177i	−0.0784662	−	0.0973039i
$705$	6.84074	−	0.569526i	0.257637	−	0.0214496i
$706$	26.4901	+	8.60714i	0.996967	+	0.323934i
$707$	4.67397	+	6.43316i	0.175783	+	0.241944i
$708$	1.28890	−	2.12481i	0.0484399	−	0.0798554i
$709$	1.64692	+	5.06869i	0.0618512	+	0.190358i	0.977207	−	0.212286i	$-0.0680910\pi$
$709$	1.64692	+	5.06869i	0.0618512	+	0.190358i	−0.915356	+	0.402645i	$0.868091\pi$
$710$	3.99593	+	12.2982i	0.149965	+	0.461544i
$711$	15.8085	−	31.7324i	0.592864	−	1.19006i
$712$	2.92576	+	4.02696i	0.109647	+	0.150917i
$713$	1.29052	+	0.419315i	0.0483303	+	0.0157035i
$714$	−1.07642	−	12.9291i	−0.0402839	−	0.483861i
$715$	37.7521	−	57.8737i	1.41185	−	2.16435i
$716$			23.3132i			0.871254i
$717$	−5.11518	+	21.7390i	−0.191030	+	0.811858i
$718$	13.4394	−	9.76433i	0.501556	−	0.364402i
$719$	28.6518	−	39.4358i	1.06853	−	1.47071i	0.196975	−	0.980409i	$-0.436888\pi$
$719$	28.6518	−	39.4358i	1.06853	−	1.47071i	0.871555	−	0.490297i	$-0.163112\pi$
$720$	−9.43782	+	4.91686i	−0.351727	+	0.183241i
$721$	−1.03022	+	0.334740i	−0.0383675	+	0.0124664i
$722$	−4.00139	−	2.90718i	−0.148916	−	0.108194i
$723$	−15.4326	−	17.9047i	−0.573946	−	0.665881i
$724$	−5.82147	+	17.9166i	−0.216353	+	0.665866i
$725$	42.3114			1.57141
$726$	13.1089	−	13.8259i	0.486518	−	0.513128i
$727$	21.1037			0.782692			0.391346	−	0.920244i	$-0.372010\pi$
$727$	21.1037			0.782692			0.391346	+	0.920244i	$0.372010\pi$
$728$	−1.81493	+	5.58578i	−0.0672658	+	0.207023i
$729$	−11.6003	+	24.3810i	−0.429642	+	0.902999i
$730$	8.44630	+	6.13659i	0.312611	+	0.227126i
$731$	5.14586	−	1.67199i	0.190327	−	0.0618408i
$732$	2.03391	−	0.853271i	0.0751753	−	0.0315378i
$733$	14.1111	−	19.4222i	0.521204	−	0.717376i	−0.464554	−	0.885545i	$-0.653785\pi$
$733$	14.1111	−	19.4222i	0.521204	−	0.717376i	0.985758	+	0.168169i	$0.0537853\pi$
$734$	23.8528	−	17.3301i	0.880423	−	0.639665i
$735$	5.98071	+	1.40726i	0.220602	+	0.0519075i
$736$			3.38245i			0.124679i
$737$	17.0391	−	26.1207i	0.627642	−	0.962169i
$738$	2.11357	−	0.354387i	0.0778016	−	0.0130452i
$739$	−2.99480	−	0.973071i	−0.110166	−	0.0357950i	0.253415	−	0.967358i	$-0.418446\pi$
$739$	−2.99480	−	0.973071i	−0.110166	−	0.0357950i	−0.363581	+	0.931563i	$0.618446\pi$
$740$	−21.7085	−	29.8792i	−0.798020	−	1.09838i
$741$	−42.5616	−	25.8177i	−1.56354	−	0.948437i
$742$	0.108701	+	0.334548i	0.00399055	+	0.0122816i
$743$	−2.93199	−	9.02374i	−0.107564	−	0.331049i	0.882759	−	0.469825i	$-0.155683\pi$
$743$	−2.93199	−	9.02374i	−0.107564	−	0.331049i	−0.990324	+	0.138776i	$0.955683\pi$
$744$	0.594088	+	0.360371i	0.0217803	+	0.0132118i
$745$	−14.6074	−	20.1054i	−0.535175	−	0.736605i
$746$	−2.62703	−	0.853574i	−0.0961824	−	0.0312516i
$747$	29.7811	−	4.99347i	1.08963	−	0.182702i
$748$	15.5947	+	19.3386i	0.570200	+	0.707091i
$749$		−	8.24673i		−	0.301329i
$750$	−15.4488	−	3.63510i	−0.564111	−	0.132735i
$751$	−3.41259	+	2.47939i	−0.124527	+	0.0904744i	−0.648306	−	0.761380i	$-0.724522\pi$
$751$	−3.41259	+	2.47939i	−0.124527	+	0.0904744i	0.523778	+	0.851855i	$0.324522\pi$
$752$	0.656700	−	0.903870i	0.0239474	−	0.0329607i
$753$	18.8017	−	7.88776i	0.685173	−	0.287446i
$754$	31.1670	−	10.1268i	1.13503	−	0.368795i
$755$	53.6367	+	38.9693i	1.95204	+	1.41824i
$756$	3.99662	+	3.32070i	0.145356	+	0.120773i
$757$	−4.52715	+	13.9331i	−0.164542	+	0.506408i	−0.999002	−	0.0446600i	$-0.985780\pi$
$757$	−4.52715	+	13.9331i	−0.164542	+	0.506408i	0.834460	+	0.551068i	$0.185780\pi$
$758$	−25.6971			−0.933362
$759$	−19.2581	+	2.58395i	−0.699026	+	0.0937915i
$760$	−17.3584			−0.629656
$761$	13.8252	−	42.5495i	0.501162	−	1.54242i	−0.305967	−	0.952042i	$-0.598980\pi$
$761$	13.8252	−	42.5495i	0.501162	−	1.54242i	0.807129	−	0.590375i	$-0.201020\pi$
$762$	15.5335	+	18.0217i	0.562719	+	0.652856i
$763$	10.2434	+	7.44228i	0.370837	+	0.269429i
$764$	−14.3412	+	4.65974i	−0.518847	+	0.168584i
$765$	70.6937	−	36.8296i	2.55594	−	1.33158i
$766$	−16.2784	+	22.4053i	−0.588163	+	0.809537i
$767$	6.81761	−	4.95328i	0.246170	−	0.178853i
$768$	−0.396716	+	1.68601i	−0.0143153	+	0.0608385i
$769$			33.3068i			1.20108i	0.799597	+	0.600538i	$0.205047\pi$
$769$			33.3068i			1.20108i	−0.799597	+	0.600538i	$0.794953\pi$
$770$	−10.9921	+	4.19371i	−0.396129	+	0.151131i
$771$	4.26264	+	51.1998i	0.153515	+	1.84391i
$772$	−14.2701	−	4.63665i	−0.513594	−	0.166877i
$773$	−4.08618	−	5.62414i	−0.146970	−	0.202286i	0.729185	−	0.684317i	$-0.239899\pi$
$773$	−4.08618	−	5.62414i	−0.146970	−	0.202286i	−0.876154	+	0.482030i	$0.839899\pi$
$774$	−0.966299	+	1.93965i	−0.0347329	+	0.0697194i
$775$	0.940060	+	2.89321i	0.0337680	+	0.103927i
$776$	0.155827	+	0.479587i	0.00559387	+	0.0172162i
$777$	−9.35277	+	15.4185i	−0.335529	+	0.553134i
$778$	−6.73520	−	9.27020i	−0.241468	−	0.332353i
$779$	3.32459	+	1.08023i	0.119116	+	0.0387031i
$780$	−35.9610	+	2.99394i	−1.28761	+	0.107200i
$781$	−3.15309	+	11.6719i	−0.112826	+	0.417655i
$782$		−	25.3362i		−	0.906019i
$783$	1.88231	−	28.9318i	0.0672683	−	1.03394i
$784$	0.809017	−	0.587785i	0.0288935	−	0.0209923i
$785$	25.0452	−	34.4717i	0.893901	−	1.23035i
$786$	6.30933	+	15.0393i	0.225046	+	0.536433i
$787$	−7.96512	+	2.58803i	−0.283926	+	0.0922532i	−0.447518	−	0.894275i	$-0.647692\pi$
$787$	−7.96512	+	2.58803i	−0.283926	+	0.0922532i	0.163592	+	0.986528i	$0.447692\pi$
$788$	−16.4125	−	11.9244i	−0.584671	−	0.424789i
$789$	8.59614	−	7.40931i	0.306031	−	0.263779i
$790$	12.9538	−	39.8677i	0.460875	−	1.41843i
$791$	−11.6682			−0.414875
$792$	−9.90241	−	0.970733i	−0.351867	−	0.0344935i
$793$	7.47914			0.265592
$794$	0.00835071	−	0.0257008i	0.000296356	−	0.000912088i
$795$	−1.63707	+	1.41104i	−0.0580608	+	0.0500446i
$796$	0.319501	+	0.232131i	0.0113244	+	0.00822766i
$797$	−25.3417	+	8.23400i	−0.897647	+	0.291663i	−0.721266	−	0.692659i	$-0.756439\pi$
$797$	−25.3417	+	8.23400i	−0.897647	+	0.291663i	−0.176382	+	0.984322i	$0.556439\pi$
$798$	3.27891	+	7.81580i	0.116072	+	0.276676i
$799$	−4.91899	+	6.77041i	−0.174021	+	0.239520i
$800$	−6.13486	+	4.45724i	−0.216900	+	0.157587i
$801$	14.7695	+	2.20247i	0.521854	+	0.0778205i
$802$		−	4.24399i		−	0.149861i
$803$	3.47952	+	9.12017i	0.122790	+	0.321844i
$804$	−16.2307	+	1.35129i	−0.572412	+	0.0476562i
$805$	11.4112	+	3.70773i	0.402192	+	0.130680i
$806$	1.38491	+	1.90617i	0.0487815	+	0.0671420i
$807$	1.19903	−	1.97665i	0.0422078	−	0.0695815i
$808$	2.45725	+	7.56263i	0.0864457	+	0.266053i
$809$	−14.0778	−	43.3272i	−0.494951	−	1.52330i	−0.817034	−	0.576590i	$-0.804383\pi$
$809$	−14.0778	−	43.3272i	−0.494951	−	1.52330i	0.322083	−	0.946711i	$-0.395617\pi$
$810$	−9.31450	+	30.5364i	−0.327278	+	1.07294i
$811$	−30.0259	−	41.3272i	−1.05435	−	1.45119i	−0.884973	−	0.465642i	$-0.845823\pi$
$811$	−30.0259	−	41.3272i	−1.05435	−	1.45119i	−0.169380	−	0.985551i	$-0.554177\pi$
$812$	−5.30661	−	1.72422i	−0.186225	−	0.0605083i
$813$	−0.579279	−	6.95788i	−0.0203162	−	0.244024i
$814$	−1.73669	−	34.4876i	−0.0608710	−	1.20879i
$815$		−	71.1729i		−	2.49308i
$816$	2.97159	−	12.6290i	0.104027	−	0.442103i
$817$	−2.85967	+	2.07767i	−0.100047	+	0.0726886i
$818$	3.78581	−	5.21071i	0.132368	−	0.182188i
$819$	8.14089	+	15.6263i	0.284466	+	0.546026i
$820$	2.40999	−	0.783055i	0.0841607	−	0.0273455i
$821$	−26.9979	−	19.6151i	−0.942234	−	0.684573i	0.00672355	−	0.999977i	$-0.497860\pi$
$821$	−26.9979	−	19.6151i	−0.942234	−	0.684573i	−0.948957	+	0.315404i	$0.897860\pi$
$822$	5.55700	+	6.44712i	0.193823	+	0.224869i
$823$	−0.0163564	+	0.0503397i	−0.000570147	+	0.00175473i	−0.951341	−	0.308139i	$-0.900294\pi$
$823$	−0.0163564	+	0.0503397i	−0.000570147	+	0.00175473i	0.950771	+	0.309894i	$0.100294\pi$
$824$	−1.08324			−0.0377365
$825$	−30.0641	−	31.5241i	−1.04670	−	1.09753i
$826$	−1.43482			−0.0499237
$827$	−14.2242	+	43.7775i	−0.494623	+	1.52229i	0.322920	+	0.946426i	$0.395336\pi$
$827$	−14.2242	+	43.7775i	−0.494623	+	1.52229i	−0.817543	+	0.575867i	$0.804664\pi$
$828$	7.23989	+	7.11005i	0.251603	+	0.247091i
$829$	40.0843	+	29.1230i	1.39219	+	1.01148i	0.995622	+	0.0934747i	$0.0297974\pi$
$829$	40.0843	+	29.1230i	1.39219	+	1.01148i	0.396564	+	0.918007i	$0.370203\pi$
$830$	33.9579	−	11.0336i	1.17870	−	0.382982i
$831$	29.4021	−	12.3349i	1.01995	−	0.427892i
$832$	−3.45220	+	4.75155i	−0.119684	+	0.164730i
$833$	−6.05992	+	4.40279i	−0.209964	+	0.152548i
$834$	24.5841	+	5.78464i	0.851279	+	0.200306i
$835$			49.9033i			1.72697i
$836$	−13.5933	−	8.86720i	−0.470135	−	0.306678i
$837$	2.02014	−	0.514086i	0.0698264	−	0.0177694i
$838$	9.43560	+	3.06581i	0.325948	+	0.105907i
$839$	25.8801	+	35.6209i	0.893481	+	1.22977i	0.972501	+	0.232898i	$0.0748210\pi$
$839$	25.8801	+	35.6209i	0.893481	+	1.22977i	−0.0790198	+	0.996873i	$0.525179\pi$
$840$	5.25313	+	3.18653i	0.181250	+	0.109946i
$841$	0.659136	+	2.02861i	0.0227288	+	0.0699522i
$842$	5.90877	+	18.1853i	0.203630	+	0.626708i
$843$	32.5818	+	19.7640i	1.12218	+	0.680707i
$844$	7.99241	+	11.0006i	0.275110	+	0.378657i
$845$	−72.5165	−	23.5620i	−2.49464	−	0.810558i
$846$	−0.554256	−	3.30559i	−0.0190557	−	0.113648i
$847$	−10.7502	−	2.33103i	−0.369380	−	0.0800950i
$848$			0.351765i			0.0120796i
$849$	6.90292	+	1.62425i	0.236908	+	0.0557442i
$850$	45.9530	−	33.3868i	1.57618	−	1.14516i
$851$	−20.6998	+	28.4909i	−0.709582	+	0.976655i
$852$	5.82236	−	2.44261i	0.199471	−	0.0836826i
$853$	42.8619	−	13.9267i	1.46756	−	0.476841i	0.537193	−	0.843459i	$-0.319485\pi$
$853$	42.8619	−	13.9267i	1.46756	−	0.476841i	0.930371	+	0.366619i	$0.119485\pi$
$854$	−1.03022	−	0.748501i	−0.0352535	−	0.0256132i
$855$	−36.4881	+	37.1544i	−1.24787	+	1.27065i
$856$	2.54838	−	7.84311i	0.0871019	−	0.268072i
$857$	7.94756			0.271484			0.135742	−	0.990744i	$-0.456658\pi$
$857$	7.94756			0.271484			0.135742	+	0.990744i	$0.456658\pi$
$858$	−29.6904	−	16.0254i	−1.01361	−	0.547099i
$859$	−3.71181			−0.126645			−0.0633226	−	0.997993i	$-0.520170\pi$
$859$	−3.71181			−0.126645			−0.0633226	+	0.997993i	$0.520170\pi$
$860$	−0.791806	+	2.43693i	−0.0270004	+	0.0830986i
$861$	−0.807813	−	0.937209i	−0.0275302	−	0.0319400i
$862$	3.72528	+	2.70657i	0.126884	+	0.0921863i
$863$	32.2583	−	10.4813i	1.09808	−	0.356789i	0.296719	−	0.954965i	$-0.404107\pi$
$863$	32.2583	−	10.4813i	1.09808	−	0.356789i	0.801365	+	0.598176i	$0.204107\pi$
$864$	2.77486	+	4.39320i	0.0944025	+	0.149460i
$865$	−19.1345	+	26.3364i	−0.650593	+	0.895464i
$866$	−10.5893	+	7.69358i	−0.359839	+	0.261439i
$867$	−15.5145	+	65.9349i	−0.526899	+	2.23927i
$868$		−	0.401168i		−	0.0136165i
$869$	30.5097	−	24.6031i	1.03497	−	0.834602i
$870$	−2.84430	−	34.1637i	−0.0964309	−	1.15826i
$871$	−52.5242	−	17.0662i	−1.77972	−	0.578265i
$872$	7.44228	+	10.2434i	0.252028	+	0.346886i
$873$	1.35408	+	0.674575i	0.0458285	+	0.0228309i
$874$	5.11482	+	15.7418i	0.173011	+	0.532474i
$875$	2.83151	+	8.71450i	0.0957226	+	0.294604i
$876$	2.64386	−	4.35852i	0.0893277	−	0.147261i
$877$	−7.17698	−	9.87826i	−0.242349	−	0.333565i	0.670464	−	0.741942i	$-0.266095\pi$
$877$	−7.17698	−	9.87826i	−0.242349	−	0.333565i	−0.912813	+	0.408377i	$0.866095\pi$
$878$	−33.3851	−	10.8475i	−1.12669	−	0.366085i
$879$	51.8011	−	4.31271i	1.74721	−	0.145464i
$880$	−11.7501	+	0.591698i	−0.396095	+	0.0199461i
$881$		−	2.05892i		−	0.0693667i	−0.999398	−	0.0346833i	$-0.988958\pi$
$881$		−	2.05892i		−	0.0693667i	0.999398	−	0.0346833i	$-0.0110423\pi$
$882$	0.442477	−	2.96719i	0.0148990	−	0.0999105i
$883$	−35.2332	+	25.5984i	−1.18569	+	0.861454i	−0.992802	−	0.119766i	$-0.961785\pi$
$883$	−35.2332	+	25.5984i	−1.18569	+	0.861454i	−0.192888	+	0.981221i	$0.561785\pi$
$884$	25.8586	−	35.5914i	0.869720	−	1.19707i
$885$	−3.41039	−	8.12920i	−0.114639	−	0.273260i
$886$	15.0175	−	4.87948i	0.504522	−	0.163929i
$887$	−16.3420	−	11.8732i	−0.548710	−	0.398661i	0.278599	−	0.960407i	$-0.410130\pi$
$887$	−16.3420	−	11.8732i	−0.548710	−	0.398661i	−0.827310	+	0.561746i	$0.810130\pi$
$888$	−13.6596	+	11.7737i	−0.458386	+	0.395098i
$889$	4.24479	−	13.0641i	0.142366	−	0.438157i
$890$	17.6569			0.591860
$891$	−22.8931	+	19.1548i	−0.766946	+	0.641711i
$892$	−12.1667			−0.407373
$893$	1.68946	−	5.19961i	0.0565355	−	0.173998i
$894$	−9.19140	+	7.92238i	−0.307406	+	0.264964i
$895$	66.9041	+	48.6087i	2.23636	+	1.62481i
$896$	0.951057	−	0.309017i	0.0317726	−	0.0103235i
$897$	13.3114	+	31.7297i	0.444453	+	1.05942i
$898$	−13.7866	+	18.9757i	−0.460066	+	0.633226i
$899$	−1.81090	+	1.31570i	−0.0603969	+	0.0438809i
$900$	−3.35535	+	22.5005i	−0.111845	+	0.750017i
$901$		−	2.63488i		−	0.0877807i
$902$	2.28727	+	0.617889i	0.0761577	+	0.0205734i
$903$	1.24682	−	0.103804i	0.0414915	−	0.00345438i
$904$	−11.0972	−	3.60569i	−0.369086	−	0.119923i
$905$	39.2792	+	54.0632i	1.30568	+	1.79712i
$906$	16.7893	−	27.6780i	0.557789	−	0.919540i
$907$	14.8750	+	45.7806i	0.493916	+	1.52012i	0.818639	+	0.574309i	$0.194729\pi$
$907$	14.8750	+	45.7806i	0.493916	+	1.52012i	−0.324722	+	0.945809i	$0.605271\pi$
$908$	5.15726	+	15.8724i	0.171150	+	0.526744i
$909$	21.3525	+	10.6374i	0.708218	+	0.352821i
$910$	12.2459	+	16.8550i	0.405947	+	0.558738i
$911$	−26.5964	−	8.64168i	−0.881177	−	0.286312i	−0.166731	−	0.986002i	$-0.553321\pi$
$911$	−26.5964	−	8.64168i	−0.881177	−	0.286312i	−0.714446	+	0.699691i	$0.753321\pi$
$912$	0.703214	+	8.44650i	0.0232858	+	0.279692i
$913$	32.2286	+	8.70633i	1.06661	+	0.288137i
$914$		−	10.4407i		−	0.345348i
$915$	1.79204	−	7.61600i	0.0592430	−	0.251777i
$916$	−22.5481	+	16.3821i	−0.745010	+	0.541281i
$917$	5.53463	−	7.61777i	0.182770	−	0.251561i
$918$	−20.7850	−	32.9071i	−0.686007	−	1.08610i
$919$	43.9152	−	14.2689i	1.44863	−	0.470688i	0.524052	−	0.851686i	$-0.324420\pi$
$919$	43.9152	−	14.2689i	1.44863	−	0.470688i	0.924576	+	0.380999i	$0.124420\pi$
$920$	9.70696	+	7.05252i	0.320029	+	0.232515i
$921$	7.55708	+	8.76758i	0.249014	+	0.288901i
$922$	4.17383	−	12.8457i	0.137458	−	0.423051i
$923$	21.4101			0.704723
$924$	2.48594	+	5.17881i	0.0817814	+	0.170370i
$925$	−78.9522			−2.59593
$926$	0.0136067	−	0.0418771i	0.000447143	−	0.00137617i
$927$	−2.27702	+	2.31860i	−0.0747871	+	0.0761527i
$928$	−4.51407	−	3.27966i	−0.148182	−	0.107660i
$929$	49.9342	−	16.2246i	1.63829	−	0.532312i	0.662134	−	0.749386i	$-0.269651\pi$
$929$	49.9342	−	16.2246i	1.63829	−	0.532312i	0.976155	+	0.217073i	$0.0696510\pi$
$930$	2.27288	−	0.953528i	0.0745308	−	0.0312674i
$931$	2.87631	−	3.95890i	0.0942671	−	0.129748i
$932$	−6.59161	+	4.78908i	−0.215915	+	0.156872i
$933$	−16.2610	−	3.82621i	−0.532362	−	0.125264i
$934$			29.8405i			0.976411i
$935$	88.0135	−	4.43209i	2.87835	−	0.144945i
$936$	2.91367	+	17.3771i	0.0952361	+	0.567990i
$937$	−15.1605	−	4.92596i	−0.495273	−	0.160924i	0.0507212	−	0.998713i	$-0.483848\pi$
$937$	−15.1605	−	4.92596i	−0.495273	−	0.160924i	−0.545994	+	0.837789i	$0.683848\pi$
$938$	5.52706	+	7.60735i	0.180465	+	0.248389i
$939$	−36.8638	−	22.3614i	−1.20300	−	0.729737i
$940$	−1.22469	−	3.76919i	−0.0399448	−	0.122938i
$941$	−4.34604	−	13.3757i	−0.141677	−	0.436036i	0.854892	−	0.518806i	$-0.173623\pi$
$941$	−4.34604	−	13.3757i	−0.141677	−	0.436036i	−0.996569	+	0.0827699i	$0.973623\pi$
$942$	−17.7884	−	10.7903i	−0.579576	−	0.351568i
$943$	−1.42025	−	1.95481i	−0.0462498	−	0.0636575i
$944$	−1.36459	−	0.443383i	−0.0444137	−	0.0144309i
$945$	17.8628	−	4.54573i	0.581077	−	0.147872i
$946$	−1.86492	+	1.50387i	−0.0606336	+	0.0488951i
$947$			18.9222i			0.614887i	0.951566	+	0.307444i	$0.0994736\pi$
$947$			18.9222i			0.614887i	−0.951566	+	0.307444i	$0.900526\pi$
$948$	−19.9241	−	4.68814i	−0.647106	−	0.152264i
$949$	13.9846	−	10.1604i	0.453959	−	0.329821i
$950$	−21.8113	+	30.0207i	−0.707653	+	0.974001i
$951$	−16.7659	+	7.03368i	−0.543671	+	0.228083i
$952$	−7.12386	+	2.31468i	−0.230886	+	0.0750193i
$953$	41.9104	+	30.4497i	1.35761	+	0.986363i	0.998593	+	0.0530323i	$0.0168886\pi$
$953$	41.9104	+	30.4497i	1.35761	+	0.986363i	0.359019	+	0.933330i	$0.383111\pi$
$954$	0.752926	+	0.739424i	0.0243769	+	0.0239397i
$955$	−16.5294	+	50.8721i	−0.534877	+	1.64618i
$956$	12.8938			0.417015
$957$	15.2245	−	28.2065i	0.492137	−	0.911786i
$958$	−18.9062			−0.610831
$959$	1.51855	−	4.67360i	0.0490364	−	0.150919i
$960$	4.01133	+	4.65387i	0.129465	+	0.150203i
$961$	24.9493	+	18.1267i	0.804817	+	0.584734i
$962$	−58.1569	+	18.8963i	−1.87505	+	0.609241i
$963$	−11.4308	−	21.9412i	−0.368352	−	0.707044i
$964$	−8.02166	+	11.0409i	−0.258360	+	0.355602i
$965$	−43.0599	+	31.2849i	−1.38615	+	1.00710i
$966$	1.34187	−	5.70283i	0.0431741	−	0.183486i
$967$			3.16771i			0.101867i	0.998702	+	0.0509333i	$0.0162196\pi$
$967$			3.16771i			0.101867i	−0.998702	+	0.0509333i	$0.983780\pi$
$968$	−9.50370	−	5.53892i	−0.305460	−	0.178028i
$969$	−5.26741	−	63.2683i	−0.169214	−	2.03247i
$970$	1.70122	+	0.552761i	0.0546230	+	0.0177481i
$971$	−10.4087	−	14.3263i	−0.334031	−	0.459754i	0.608655	−	0.793435i	$-0.291709\pi$
$971$	−10.4087	−	14.3263i	−0.334031	−	0.459754i	−0.942686	+	0.333681i	$0.891709\pi$
$972$	15.2362	+	3.29531i	0.488700	+	0.105697i
$973$	−4.50587	−	13.8676i	−0.144451	−	0.444576i
$974$	−6.40314	−	19.7068i	−0.205170	−	0.631448i
$975$	−40.0081	+	65.9552i	−1.28129	+	2.11226i
$976$	−0.748501	−	1.03022i	−0.0239589	−	0.0329766i
$977$	−50.4273	−	16.3848i	−1.61331	−	0.524197i	−0.642963	−	0.765898i	$-0.722295\pi$
$977$	−50.4273	−	16.3848i	−1.61331	−	0.524197i	−0.970351	+	0.241700i	$0.922295\pi$
$978$	−34.6323	+	2.88332i	−1.10742	+	0.0921983i
$979$	13.8270	+	9.01965i	0.441914	+	0.288269i
$980$		−	3.54727i		−	0.113313i
$981$	37.5693	+	5.60245i	1.19949	+	0.178872i
$982$	−11.8550	+	8.61314i	−0.378307	+	0.274856i
$983$	−18.0525	+	24.8471i	−0.575785	+	0.792500i	−0.993225	−	0.116204i	$-0.962927\pi$
$983$	−18.0525	+	24.8471i	−0.575785	+	0.792500i	0.417440	+	0.908704i	$0.362927\pi$
$984$	−0.478662	−	1.14097i	−0.0152592	−	0.0363727i
$985$	−68.4412	+	22.2379i	−2.18072	+	0.708558i
$986$	33.8125	+	24.5662i	1.07681	+	0.782348i
$987$	−1.46578	+	1.26341i	−0.0466563	+	0.0402147i
$988$	−8.88130	+	27.3338i	−0.282552	+	0.869605i
$989$	2.44328			0.0776919
$990$	−23.4326	+	26.3939i	−0.744738	+	0.838854i
$991$	45.9466			1.45954			0.729771	−	0.683691i	$-0.239626\pi$
$991$	45.9466			1.45954			0.729771	+	0.683691i	$0.239626\pi$
$992$	0.123968	−	0.381533i	0.00393598	−	0.0121137i
$993$	32.9957	−	28.4401i	1.04709	−	0.902520i
$994$	−2.94917	−	2.14270i	−0.0935419	−	0.0679622i
$995$	1.33234	−	0.432903i	0.0422379	−	0.0137239i
$996$	−6.74456	−	16.0767i	−0.213710	−	0.509411i
$997$	12.5544	−	17.2796i	0.397601	−	0.547251i	−0.562539	−	0.826771i	$-0.690175\pi$
$997$	12.5544	−	17.2796i	0.397601	−	0.547251i	0.960140	+	0.279520i	$0.0901752\pi$
$998$	−12.3645	+	8.98335i	−0.391392	+	0.284363i
$999$	−3.51235	+	53.9861i	−0.111126	+	1.70804i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	462.2.w.b.365.10	yes	48
3.2	odd	2		462.2.w.a.365.11	yes	48
11.6	odd	10		462.2.w.a.281.11	✓	48
33.17	even	10	inner	462.2.w.b.281.10	yes	48

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
462.2.w.a.281.11	✓	48	11.6	odd	10
462.2.w.a.365.11	yes	48	3.2	odd	2
462.2.w.b.281.10	yes	48	33.17	even	10	inner
462.2.w.b.365.10	yes	48	1.1	even	1	trivial

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(-0.309017 + 0.951057i) q^{2} +(1.31196 - 1.13082i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-3.37365 + 1.09617i) q^{5} +(0.670059 + 1.59719i) q^{6} +(0.587785 - 0.809017i) q^{7} +(0.809017 - 0.587785i) q^{8} +(0.442477 - 2.96719i) q^{9} +O(q^{10})\)	\(q+(-0.309017 + 0.951057i) q^{2} +(1.31196 - 1.13082i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-3.37365 + 1.09617i) q^{5} +(0.670059 + 1.59719i) q^{6} +(0.587785 - 0.809017i) q^{7} +(0.809017 - 0.587785i) q^{8} +(0.442477 - 2.96719i) q^{9} -3.54727i q^{10} +(1.81205 - 2.77785i) q^{11} +(-1.72608 + 0.143705i) q^{12} +(-5.58578 - 1.81493i) q^{13} +(0.587785 + 0.809017i) q^{14} +(-3.18653 + 5.25313i) q^{15} +(0.309017 + 0.951057i) q^{16} +(-2.31468 - 7.12386i) q^{17} +(2.68523 + 1.33773i) q^{18} +(2.87631 + 3.95890i) q^{19} +(3.37365 + 1.09617i) q^{20} +(-0.143705 - 1.72608i) q^{21} +(2.08194 + 2.58177i) q^{22} -3.38245i q^{23} +(0.396716 - 1.68601i) q^{24} +(6.13486 - 4.45724i) q^{25} +(3.45220 - 4.75155i) q^{26} +(-2.77486 - 4.39320i) q^{27} +(-0.951057 + 0.309017i) q^{28} +(4.51407 + 3.27966i) q^{29} +(-4.01133 - 4.65387i) q^{30} +(-0.123968 + 0.381533i) q^{31} -1.00000 q^{32} +(-0.763928 - 5.69354i) q^{33} +7.49047 q^{34} +(-1.09617 + 3.37365i) q^{35} +(-2.10204 + 2.14043i) q^{36} +(-8.42315 - 6.11978i) q^{37} +(-4.65396 + 1.51216i) q^{38} +(-9.38069 + 3.93542i) q^{39} +(-2.08503 + 2.86980i) q^{40} +(0.577928 - 0.419889i) q^{41} +(1.68601 + 0.396716i) q^{42} +0.722341i q^{43} +(-3.09876 + 1.18224i) q^{44} +(1.75977 + 10.4953i) q^{45} +(3.21690 + 1.04523i) q^{46} +(-0.656700 - 0.903870i) q^{47} +(1.48089 + 0.898304i) q^{48} +(-0.309017 - 0.951057i) q^{49} +(2.34331 + 7.21196i) q^{50} +(-11.0926 - 6.72872i) q^{51} +(3.45220 + 4.75155i) q^{52} +(0.334548 + 0.108701i) q^{53} +(5.03566 - 1.28147i) q^{54} +(-3.06823 + 11.3578i) q^{55} -1.00000i q^{56} +(8.25041 + 1.94132i) q^{57} +(-4.51407 + 3.27966i) q^{58} +(-0.843365 + 1.16079i) q^{59} +(5.66567 - 2.37688i) q^{60} +(-1.21110 + 0.393510i) q^{61} +(-0.324552 - 0.235801i) q^{62} +(-2.14043 - 2.10204i) q^{63} +(0.309017 - 0.951057i) q^{64} +20.8340 q^{65} +(5.65095 + 1.03286i) q^{66} +9.40320 q^{67} +(-2.31468 + 7.12386i) q^{68} +(-3.82496 - 4.43764i) q^{69} +(-2.86980 - 2.08503i) q^{70} +(-3.46695 + 1.12648i) q^{71} +(-1.38610 - 2.66059i) q^{72} +(-1.72995 + 2.38107i) q^{73} +(8.42315 - 6.11978i) q^{74} +(3.00834 - 12.7852i) q^{75} -4.89346i q^{76} +(-1.18224 - 3.09876i) q^{77} +(-0.844013 - 10.1377i) q^{78} +(11.2390 + 3.65177i) q^{79} +(-2.08503 - 2.86980i) q^{80} +(-8.60843 - 2.62582i) q^{81} +(0.220749 + 0.679395i) q^{82} +(3.11045 + 9.57298i) q^{83} +(-0.898304 + 1.48089i) q^{84} +(15.6179 + 21.4962i) q^{85} +(-0.686987 - 0.223216i) q^{86} +(9.63100 - 0.801829i) q^{87} +(-0.166804 - 3.31243i) q^{88} +4.97760i q^{89} +(-10.5254 - 1.56958i) q^{90} +(-4.75155 + 3.45220i) q^{91} +(-1.98816 + 2.73646i) q^{92} +(0.268806 + 0.640742i) q^{93} +(1.06256 - 0.345247i) q^{94} +(-14.0433 - 10.2030i) q^{95} +(-1.31196 + 1.13082i) q^{96} +(-0.155827 + 0.479587i) q^{97} +1.00000 q^{98} +(-7.44063 - 6.60583i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 48 q + 12 q^{2} - 4 q^{3} - 12 q^{4} + 4 q^{6} + 12 q^{8} + 10 q^{9}+O(q^{10}) \) 48 * q + 12 * q^2 - 4 * q^3 - 12 * q^4 + 4 * q^6 + 12 * q^8 + 10 * q^9	\( 48 q + 12 q^{2} - 4 q^{3} - 12 q^{4} + 4 q^{6} + 12 q^{8} + 10 q^{9} + 8 q^{11} + 6 q^{12} - 24 q^{15} - 12 q^{16} + 24 q^{17} + 10 q^{18} + 30 q^{19} - 8 q^{22} - 6 q^{24} + 18 q^{25} + 20 q^{26} + 38 q^{27} - 8 q^{29} - 36 q^{30} - 32 q^{31} - 48 q^{32} + 24 q^{33} - 4 q^{34} - 6 q^{35} - 20 q^{37} - 20 q^{38} - 34 q^{39} - 22 q^{44} + 12 q^{45} + 20 q^{46} - 20 q^{47} - 4 q^{48} + 12 q^{49} - 28 q^{50} + 2 q^{51} + 20 q^{52} - 20 q^{53} - 18 q^{54} + 16 q^{55} + 12 q^{57} + 8 q^{58} - 30 q^{59} - 4 q^{60} - 20 q^{61} - 8 q^{62} - 4 q^{63} - 12 q^{64} + 46 q^{66} + 36 q^{67} + 24 q^{68} + 30 q^{69} - 4 q^{70} - 10 q^{72} - 20 q^{73} + 20 q^{74} + 40 q^{75} + 16 q^{77} - 16 q^{78} - 20 q^{79} - 54 q^{81} - 10 q^{82} + 46 q^{83} - 10 q^{84} + 10 q^{85} + 30 q^{86} - 8 q^{87} - 8 q^{88} - 62 q^{90} - 36 q^{91} - 10 q^{92} + 44 q^{93} - 50 q^{95} + 4 q^{96} - 2 q^{97} + 48 q^{98} - 26 q^{99}+O(q^{100}) \) 48 * q + 12 * q^2 - 4 * q^3 - 12 * q^4 + 4 * q^6 + 12 * q^8 + 10 * q^9 + 8 * q^11 + 6 * q^12 - 24 * q^15 - 12 * q^16 + 24 * q^17 + 10 * q^18 + 30 * q^19 - 8 * q^22 - 6 * q^24 + 18 * q^25 + 20 * q^26 + 38 * q^27 - 8 * q^29 - 36 * q^30 - 32 * q^31 - 48 * q^32 + 24 * q^33 - 4 * q^34 - 6 * q^35 - 20 * q^37 - 20 * q^38 - 34 * q^39 - 22 * q^44 + 12 * q^45 + 20 * q^46 - 20 * q^47 - 4 * q^48 + 12 * q^49 - 28 * q^50 + 2 * q^51 + 20 * q^52 - 20 * q^53 - 18 * q^54 + 16 * q^55 + 12 * q^57 + 8 * q^58 - 30 * q^59 - 4 * q^60 - 20 * q^61 - 8 * q^62 - 4 * q^63 - 12 * q^64 + 46 * q^66 + 36 * q^67 + 24 * q^68 + 30 * q^69 - 4 * q^70 - 10 * q^72 - 20 * q^73 + 20 * q^74 + 40 * q^75 + 16 * q^77 - 16 * q^78 - 20 * q^79 - 54 * q^81 - 10 * q^82 + 46 * q^83 - 10 * q^84 + 10 * q^85 + 30 * q^86 - 8 * q^87 - 8 * q^88 - 62 * q^90 - 36 * q^91 - 10 * q^92 + 44 * q^93 - 50 * q^95 + 4 * q^96 - 2 * q^97 + 48 * q^98 - 26 * q^99

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