LMFDB - Embedded newform 462.2.w.a.281.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

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

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

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

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

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

chi := DirichletCharacter("462.29");

S:= CuspForms(chi, 2);

N := Newforms(S);

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

Newform invariants

comment: select newform

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

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

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

Embedding invariants

Embedding label			281.11
Character	$\chi$	$=$	462.281
Dual form			462.2.w.a.365.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.309017 + 0.951057i) q^{2} +(1.48089 + 0.898304i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(3.37365 + 1.09617i) q^{5} +(-0.396716 + 1.68601i) q^{6} +(0.587785 + 0.809017i) q^{7} +(-0.809017 - 0.587785i) q^{8} +(1.38610 + 2.66059i) q^{9} +O(q^{10})$	\(q+(0.309017 + 0.951057i) q^{2} +(1.48089 + 0.898304i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(3.37365 + 1.09617i) q^{5} +(-0.396716 + 1.68601i) q^{6} +(0.587785 + 0.809017i) q^{7} +(-0.809017 - 0.587785i) q^{8} +(1.38610 + 2.66059i) 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} +(4.01133 + 4.65387i) q^{15} +(0.309017 - 0.951057i) q^{16} +(2.31468 - 7.12386i) q^{17} +(-2.10204 + 2.14043i) 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} +(-0.670059 - 1.59719i) q^{24} +(6.13486 + 4.45724i) q^{25} +(-3.45220 - 4.75155i) q^{26} +(-0.337350 + 5.18519i) q^{27} +(-0.951057 - 0.309017i) q^{28} +(-4.51407 + 3.27966i) q^{29} +(-3.18653 + 5.25313i) q^{30} +(-0.123968 - 0.381533i) q^{31} +1.00000 q^{32} +(-0.188095 - 5.74148i) q^{33} +7.49047 q^{34} +(1.09617 + 3.37365i) q^{35} +(-2.68523 - 1.33773i) q^{36} +(-8.42315 + 6.11978i) q^{37} +(4.65396 + 1.51216i) q^{38} +(-9.90232 - 2.33001i) q^{39} +(-2.08503 - 2.86980i) q^{40} +(-0.577928 - 0.419889i) q^{41} +(-1.59719 + 0.670059i) 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} +(1.31196 - 1.13082i) q^{48} +(-0.309017 + 0.951057i) q^{49} +(-2.34331 + 7.21196i) q^{50} +(9.82720 - 8.47040i) 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} +(7.81580 - 3.27891i) q^{57} +(-4.51407 - 3.27966i) q^{58} +(0.843365 + 1.16079i) q^{59} +(-5.98071 - 1.40726i) q^{60} +(-1.21110 - 0.393510i) q^{61} +(0.324552 - 0.235801i) q^{62} +(-1.33773 + 2.68523i) q^{63} +(0.309017 + 0.951057i) q^{64} -20.8340 q^{65} +(5.40235 - 1.95310i) q^{66} +9.40320 q^{67} +(2.31468 + 7.12386i) q^{68} +(3.03847 - 5.00905i) q^{69} +(-2.86980 + 2.08503i) q^{70} +(3.46695 + 1.12648i) q^{71} +(0.442477 - 2.96719i) q^{72} +(-1.72995 - 2.38107i) q^{73} +(-8.42315 - 6.11978i) q^{74} +(5.08113 + 12.1117i) 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} +(-5.15746 + 7.37568i) q^{81} +(0.220749 - 0.679395i) q^{82} +(-3.11045 + 9.57298i) q^{83} +(-1.13082 - 1.31196i) 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} +(-9.43782 + 4.91686i) q^{90} +(-4.75155 - 3.45220i) q^{91} +(1.98816 + 2.73646i) q^{92} +(0.159150 - 0.676372i) q^{93} +(1.06256 + 0.345247i) q^{94} +(14.0433 - 10.2030i) q^{95} +(1.48089 + 0.898304i) q^{96} +(-0.155827 - 0.479587i) q^{97} -1.00000 q^{98} +(4.87905 - 8.67150i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 48 q - 12 q^{2} - 4 q^{3} - 12 q^{4} + 6 q^{6} - 12 q^{8} + 10 q^{9}+O(q^{10}) $ 48 * q - 12 * q^2 - 4 * q^3 - 12 * q^4 + 6 * q^6 - 12 * q^8 + 10 * q^9	$ 48 q - 12 q^{2} - 4 q^{3} - 12 q^{4} + 6 q^{6} - 12 q^{8} + 10 q^{9} - 8 q^{11} + 6 q^{12} + 36 q^{15} - 12 q^{16} - 24 q^{17} + 30 q^{19} - 8 q^{22} - 4 q^{24} + 18 q^{25} - 20 q^{26} - 22 q^{27} + 8 q^{29} - 24 q^{30} - 32 q^{31} + 48 q^{32} - 14 q^{33} - 4 q^{34} + 6 q^{35} - 10 q^{36} - 20 q^{37} + 20 q^{38} - 6 q^{39} + 22 q^{44} + 12 q^{45} + 20 q^{46} + 20 q^{47} - 4 q^{48} + 12 q^{49} + 28 q^{50} + 8 q^{51} + 20 q^{52} + 20 q^{53} + 18 q^{54} + 16 q^{55} - 2 q^{57} + 8 q^{58} + 30 q^{59} - 4 q^{60} - 20 q^{61} + 8 q^{62} + 4 q^{63} - 12 q^{64} - 14 q^{66} + 36 q^{67} - 24 q^{68} - 70 q^{69} - 4 q^{70} + 10 q^{72} - 20 q^{73} - 20 q^{74} - 30 q^{75} - 16 q^{77} - 16 q^{78} - 20 q^{79} + 26 q^{81} - 10 q^{82} - 46 q^{83} - 10 q^{84} + 10 q^{85} - 30 q^{86} + 8 q^{87} - 8 q^{88} - 38 q^{90} - 36 q^{91} + 10 q^{92} - 36 q^{93} + 50 q^{95} - 4 q^{96} - 2 q^{97} - 48 q^{98} + 70 q^{99}+O(q^{100}) $ 48 * q - 12 * q^2 - 4 * q^3 - 12 * q^4 + 6 * q^6 - 12 * q^8 + 10 * q^9 - 8 * q^11 + 6 * q^12 + 36 * q^15 - 12 * q^16 - 24 * q^17 + 30 * q^19 - 8 * q^22 - 4 * q^24 + 18 * q^25 - 20 * q^26 - 22 * q^27 + 8 * q^29 - 24 * q^30 - 32 * q^31 + 48 * q^32 - 14 * q^33 - 4 * q^34 + 6 * q^35 - 10 * q^36 - 20 * q^37 + 20 * q^38 - 6 * q^39 + 22 * q^44 + 12 * q^45 + 20 * q^46 + 20 * q^47 - 4 * q^48 + 12 * q^49 + 28 * q^50 + 8 * q^51 + 20 * q^52 + 20 * q^53 + 18 * q^54 + 16 * q^55 - 2 * q^57 + 8 * q^58 + 30 * q^59 - 4 * q^60 - 20 * q^61 + 8 * q^62 + 4 * q^63 - 12 * q^64 - 14 * q^66 + 36 * q^67 - 24 * q^68 - 70 * q^69 - 4 * q^70 + 10 * q^72 - 20 * q^73 - 20 * q^74 - 30 * q^75 - 16 * q^77 - 16 * q^78 - 20 * q^79 + 26 * q^81 - 10 * q^82 - 46 * q^83 - 10 * q^84 + 10 * q^85 - 30 * q^86 + 8 * q^87 - 8 * q^88 - 38 * q^90 - 36 * q^91 + 10 * q^92 - 36 * q^93 + 50 * q^95 - 4 * q^96 - 2 * q^97 - 48 * q^98 + 70 * q^99

Display 100 coefficients 10 coefficients

Character values

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

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

Coefficient data

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

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

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

$2$	0.309017	+	0.951057i	0.218508	+	0.672499i
$2$	0.309017	+	0.951057i	0.218508	+	0.672499i
$3$	1.48089	+	0.898304i	0.854995	+	0.518636i
$3$	1.48089	+	0.898304i	0.854995	+	0.518636i
$4$	−0.809017	+	0.587785i	−0.404508	+	0.293893i
$5$	3.37365	+	1.09617i	1.50874	+	0.490220i	0.942554	−	0.334055i	$-0.108417\pi$
$5$	3.37365	+	1.09617i	1.50874	+	0.490220i	0.566189	+	0.824275i	$0.308417\pi$
$6$	−0.396716	+	1.68601i	−0.161959	+	0.688309i
$7$	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
$9$	1.38610	+	2.66059i	0.462033	+	0.886863i
$10$			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	−0.953901	−	0.300120i	$-0.902973\pi$
$13$	−5.58578	+	1.81493i	−1.54922	+	0.503371i	−0.595316	+	0.803492i	$0.702973\pi$
$14$	−0.587785	+	0.809017i	−0.157092	+	0.216219i
$15$	4.01133	+	4.65387i	1.03572	+	1.20162i
$16$	0.309017	−	0.951057i	0.0772542	−	0.237764i
$17$	2.31468	−	7.12386i	0.561393	−	1.72779i	−0.117039	−	0.993127i	$-0.537340\pi$
$17$	2.31468	−	7.12386i	0.561393	−	1.72779i	0.678432	−	0.734663i	$-0.262660\pi$
$18$	−2.10204	+	2.14043i	−0.495456	+	0.504503i
$19$	2.87631	−	3.95890i	0.659870	−	0.908233i	−0.339607	−	0.940567i	$-0.610294\pi$
$19$	2.87631	−	3.95890i	0.659870	−	0.908233i	0.999477	+	0.0323345i	$0.0102942\pi$
$20$	−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	$-0.114718\pi$
$24$	−0.670059	−	1.59719i	−0.136775	−	0.326025i
$25$	6.13486	+	4.45724i	1.22697	+	0.891448i
$26$	−3.45220	−	4.75155i	−0.677033	−	0.931856i
$27$	−0.337350	+	5.18519i	−0.0649231	+	0.997890i
$28$	−0.951057	−	0.309017i	−0.179733	−	0.0583987i
$29$	−4.51407	+	3.27966i	−0.838242	+	0.609018i	−0.921879	−	0.387478i	$-0.873346\pi$
$29$	−4.51407	+	3.27966i	−0.838242	+	0.609018i	0.0836373	+	0.996496i	$0.473346\pi$
$30$	−3.18653	+	5.25313i	−0.581777	+	0.959086i
$31$	−0.123968	−	0.381533i	−0.0222653	−	0.0685254i	0.939307	−	0.343079i	$-0.111470\pi$
$31$	−0.123968	−	0.381533i	−0.0222653	−	0.0685254i	−0.961572	+	0.274554i	$0.911470\pi$
$32$	1.00000			0.176777
$33$	−0.188095	−	5.74148i	−0.0327432	−	0.999464i
$34$	7.49047			1.28461
$35$	1.09617	+	3.37365i	0.185286	+	0.570251i
$36$	−2.68523	−	1.33773i	−0.447539	−	0.222955i
$37$	−8.42315	+	6.11978i	−1.38476	+	1.00609i	−0.388340	+	0.921516i	$0.626951\pi$
$37$	−8.42315	+	6.11978i	−1.38476	+	1.00609i	−0.996418	+	0.0845689i	$0.973049\pi$
$38$	4.65396	+	1.51216i	0.754972	+	0.245305i
$39$	−9.90232	−	2.33001i	−1.58564	−	0.373100i
$40$	−2.08503	−	2.86980i	−0.329672	−	0.453755i
$41$	−0.577928	−	0.419889i	−0.0902571	−	0.0655757i	0.541741	−	0.840545i	$-0.317765\pi$
$41$	−0.577928	−	0.419889i	−0.0902571	−	0.0655757i	−0.631999	+	0.774970i	$0.717765\pi$
$42$	−1.59719	+	0.670059i	−0.246452	+	0.103392i
$43$		−	0.722341i		−	0.110156i	−0.998482	−	0.0550780i	$-0.982459\pi$
$43$		−	0.722341i		−	0.110156i	0.998482	−	0.0550780i	$-0.0175408\pi$
$44$	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	$-0.774034\pi$
$47$	0.656700	−	0.903870i	0.0957895	−	0.131843i	0.854222	+	0.519909i	$0.174034\pi$
$48$	1.31196	−	1.13082i	0.189365	−	0.163220i
$49$	−0.309017	+	0.951057i	−0.0441453	+	0.135865i
$50$	−2.34331	+	7.21196i	−0.331394	+	1.01993i
$51$	9.82720	−	8.47040i	1.37608	−	1.18609i
$52$	3.45220	−	4.75155i	0.478735	−	0.658922i
$53$	−0.334548	+	0.108701i	−0.0459537	+	0.0149313i	−0.331904	−	0.943313i	$-0.607691\pi$
$53$	−0.334548	+	0.108701i	−0.0459537	+	0.0149313i	0.285950	+	0.958245i	$0.407691\pi$
$54$	−5.03566	+	1.28147i	−0.685266	+	0.174386i
$55$	−3.06823	−	11.3578i	−0.413720	−	1.53149i
$56$		−	1.00000i		−	0.133631i
$57$	7.81580	−	3.27891i	1.03523	−	0.434302i
$58$	−4.51407	−	3.27966i	−0.592726	−	0.430641i
$59$	0.843365	+	1.16079i	0.109797	+	0.151122i	0.860379	−	0.509655i	$-0.170227\pi$
$59$	0.843365	+	1.16079i	0.109797	+	0.151122i	−0.750582	+	0.660777i	$0.770227\pi$
$60$	−5.98071	−	1.40726i	−0.772107	−	0.181676i
$61$	−1.21110	−	0.393510i	−0.155066	−	0.0503838i	0.230456	−	0.973083i	$-0.425978\pi$
$61$	−1.21110	−	0.393510i	−0.155066	−	0.0503838i	−0.385521	+	0.922699i	$0.625978\pi$
$62$	0.324552	−	0.235801i	0.0412181	−	0.0299467i
$63$	−1.33773	+	2.68523i	−0.168538	+	0.338307i
$64$	0.309017	+	0.951057i	0.0386271	+	0.118882i
$65$	−20.8340			−2.58413
$66$	5.40235	−	1.95310i	0.664983	−	0.240411i
$67$	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
$69$	3.03847	−	5.00905i	0.365789	−	0.603019i
$70$	−2.86980	+	2.08503i	−0.343007	+	0.249209i
$71$	3.46695	+	1.12648i	0.411452	+	0.133689i	0.507427	−	0.861695i	$-0.330597\pi$
$71$	3.46695	+	1.12648i	0.411452	+	0.133689i	−0.0959748	+	0.995384i	$0.530597\pi$
$72$	0.442477	−	2.96719i	0.0521464	−	0.349687i
$73$	−1.72995	−	2.38107i	−0.202475	−	0.278683i	0.695689	−	0.718343i	$-0.255099\pi$
$73$	−1.72995	−	2.38107i	−0.202475	−	0.278683i	−0.898164	+	0.439660i	$0.855099\pi$
$74$	−8.42315	−	6.11978i	−0.979171	−	0.711410i
$75$	5.08113	+	12.1117i	0.586718	+	1.39854i
$76$			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	0.401394	−	0.915906i	$-0.368526\pi$
$79$	11.2390	−	3.65177i	1.26448	−	0.410856i	0.863090	+	0.505050i	$0.168526\pi$
$80$	2.08503	−	2.86980i	0.233114	−	0.320853i
$81$	−5.15746	+	7.37568i	−0.573051	+	0.819520i
$82$	0.220749	−	0.679395i	0.0243776	−	0.0750266i
$83$	−3.11045	+	9.57298i	−0.341416	+	1.05077i	0.622058	+	0.782971i	$0.286297\pi$
$83$	−3.11045	+	9.57298i	−0.341416	+	1.05077i	−0.963475	+	0.267800i	$0.913703\pi$
$84$	−1.13082	−	1.31196i	−0.123383	−	0.143147i
$85$	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	$0.915020\pi$
$90$	−9.43782	+	4.91686i	−0.994833	+	0.518283i
$91$	−4.75155	−	3.45220i	−0.498098	−	0.361889i
$92$	1.98816	+	2.73646i	0.207279	+	0.285296i
$93$	0.159150	−	0.676372i	0.0165031	−	0.0701365i
$94$	1.06256	+	0.345247i	0.109595	+	0.0356096i
$95$	14.0433	−	10.2030i	1.44081	−	1.04681i
$96$	1.48089	+	0.898304i	0.151143	+	0.0916828i
$97$	−0.155827	−	0.479587i	−0.0158219	−	0.0486947i	0.942834	−	0.333263i	$-0.108150\pi$
$97$	−0.155827	−	0.479587i	−0.0158219	−	0.0486947i	−0.958656	+	0.284568i	$0.908150\pi$
$98$	−1.00000			−0.101015
$99$	4.87905	−	8.67150i	0.490363	−	0.871518i
$100$	−7.58311			−0.758311
$101$	2.45725	+	7.56263i	0.244505	+	0.752510i	0.995717	+	0.0924493i	$0.0294696\pi$
$101$	2.45725	+	7.56263i	0.244505	+	0.752510i	−0.751212	+	0.660061i	$0.770530\pi$
$102$	11.0926	+	6.72872i	1.09833	+	0.666243i
$103$	−0.876361	+	0.636713i	−0.0863504	+	0.0627372i	−0.630123	−	0.776495i	$-0.716995\pi$
$103$	−0.876361	+	0.636713i	−0.0863504	+	0.0627372i	0.543772	+	0.839233i	$0.316995\pi$
$104$	5.58578	+	1.81493i	0.547731	+	0.177969i
$105$	−1.40726	+	5.98071i	−0.137334	+	0.583658i
$106$	−0.206762	−	0.284584i	−0.0200825	−	0.0276412i
$107$	−6.67175	−	4.84731i	−0.644982	−	0.468607i	0.216576	−	0.976266i	$-0.430511\pi$
$107$	−6.67175	−	4.84731i	−0.644982	−	0.468607i	−0.861558	+	0.507659i	$0.830511\pi$
$108$	−2.77486	−	4.39320i	−0.267011	−	0.422736i
$109$		−	12.6616i		−	1.21276i	−0.795176	−	0.606379i	$-0.792621\pi$
$109$		−	12.6616i		−	1.21276i	0.795176	−	0.606379i	$-0.207379\pi$
$110$	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	$-0.615074\pi$
$113$	6.85842	−	9.43981i	0.645186	−	0.888022i	0.998879	+	0.0473392i	$0.0150742\pi$
$114$	5.53364	+	6.42003i	0.518273	+	0.601291i
$115$	3.70773	−	11.4112i	0.345747	−	1.06410i
$116$	1.72422	−	5.30661i	0.160090	−	0.492706i
$117$	−12.5712	−	12.3458i	−1.16221	−	1.14137i
$118$	−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
$123$	−0.478662	−	1.14097i	−0.0431595	−	0.102877i
$124$	0.324552	+	0.235801i	0.0291456	+	0.0211755i
$125$	5.38586	+	7.41300i	0.481726	+	0.663039i
$126$	−2.96719	−	0.442477i	−0.264338	−	0.0394189i
$127$	13.0641	+	4.24479i	1.15925	+	0.376664i	0.824622	−	0.565684i	$-0.191388\pi$
$127$	13.0641	+	4.24479i	1.15925	+	0.376664i	0.334632	+	0.942349i	$0.391388\pi$
$128$	−0.809017	+	0.587785i	−0.0715077	+	0.0519534i
$129$	0.648882	−	1.06971i	0.0571309	−	0.0941828i
$130$	−6.43804	−	19.8143i	−0.564654	−	1.73783i
$131$	−9.41608			−0.822687			−0.411343	−	0.911480i	$-0.634940\pi$
$131$	−9.41608			−0.822687			−0.411343	+	0.911480i	$0.634940\pi$
$132$	3.52693	+	4.53440i	0.306980	+	0.394669i
$133$	4.89346			0.424317
$134$	2.90575	+	8.94298i	0.251018	+	0.772555i
$135$	−6.82193	+	17.1232i	−0.587138	+	1.47373i
$136$	−6.05992	+	4.40279i	−0.519634	+	0.377536i
$137$	−4.67360	−	1.51855i	−0.399293	−	0.129738i	0.102485	−	0.994735i	$-0.467321\pi$
$137$	−4.67360	−	1.51855i	−0.399293	−	0.129738i	−0.501778	+	0.864996i	$0.667321\pi$
$138$	5.70283	+	1.34187i	0.485457	+	0.114228i
$139$	8.57067	+	11.7965i	0.726954	+	1.00057i	0.999264	+	0.0383573i	$0.0122125\pi$
$139$	8.57067	+	11.7965i	0.726954	+	1.00057i	−0.272310	+	0.962210i	$0.587788\pi$
$140$	−2.86980	−	2.08503i	−0.242542	−	0.176217i
$141$	1.78445	−	0.748620i	0.150278	−	0.0630452i
$142$			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
$147$	−1.31196	+	1.13082i	−0.108209	+	0.0932687i
$148$	3.21736	−	9.90201i	0.264465	−	0.813940i
$149$	−2.16493	+	6.66296i	−0.177358	+	0.545851i	−0.999733	−	0.0230939i	$-0.992648\pi$
$149$	−2.16493	+	6.66296i	−0.177358	+	0.545851i	0.822376	+	0.568945i	$0.192648\pi$
$150$	−9.94873	+	8.57515i	−0.812310	+	0.700158i
$151$	−10.9857	+	15.1206i	−0.894006	+	1.23049i	0.0783346	+	0.996927i	$0.475040\pi$
$151$	−10.9857	+	15.1206i	−0.894006	+	1.23049i	−0.972341	+	0.233567i	$0.924960\pi$
$152$	−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
$156$	9.38069	−	3.93542i	0.751056	−	0.315086i
$157$	−9.71783	−	7.06042i	−0.775567	−	0.563483i	0.128078	−	0.991764i	$-0.459119\pi$
$157$	−9.71783	−	7.06042i	−0.775567	−	0.563483i	−0.903645	+	0.428281i	$0.859119\pi$
$158$	6.94607	+	9.56045i	0.552600	+	0.760588i
$159$	−0.593077	−	0.139551i	−0.0470341	−	0.0110671i
$160$	3.37365	+	1.09617i	0.266711	+	0.0866595i
$161$	2.73646	−	1.98816i	0.215663	−	0.156689i
$162$	−8.60843	−	2.62582i	−0.676342	−	0.206304i
$163$	−6.20017	−	19.0821i	−0.485634	−	1.49463i	−0.831060	−	0.556183i	$-0.812265\pi$
$163$	−6.20017	−	19.0821i	−0.485634	−	1.49463i	0.345425	−	0.938446i	$-0.387735\pi$
$164$	0.714358			0.0557820
$165$	5.65905	−	19.5759i	0.440556	−	1.52399i
$166$	−10.0656			−0.781244
$167$	−4.34728	−	13.3796i	−0.336403	−	1.03534i	−0.966027	−	0.258441i	$-0.916791\pi$
$167$	−4.34728	−	13.3796i	−0.336403	−	1.03534i	0.629624	−	0.776900i	$-0.283209\pi$
$168$	0.898304	−	1.48089i	0.0693057	−	0.114254i
$169$	17.3898	−	12.6344i	1.33767	−	0.971878i
$170$	25.2702	+	8.21080i	1.93814	+	0.629740i
$171$	14.5198	+	2.16524i	1.11036	+	0.165580i
$172$	0.424582	+	0.584386i	0.0323740	+	0.0445590i
$173$	−7.42441	−	5.39415i	−0.564468	−	0.410110i	0.268624	−	0.963245i	$-0.413431\pi$
$173$	−7.42441	−	5.39415i	−0.564468	−	0.410110i	−0.833091	+	0.553135i	$0.813431\pi$
$174$	−3.73873	−	8.91184i	−0.283432	−	0.675605i
$175$			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	0.115018	−	0.993363i	$-0.463307\pi$
$179$	13.7031	−	18.8607i	1.02422	−	1.40972i	0.909202	−	0.416355i	$-0.136693\pi$
$180$	−7.59266	−	7.45650i	−0.565924	−	0.555775i
$181$	−5.82147	+	17.9166i	−0.432706	+	1.33173i	0.462713	+	0.886508i	$0.346876\pi$
$181$	−5.82147	+	17.9166i	−0.432706	+	1.33173i	−0.895419	+	0.445224i	$0.853124\pi$
$182$	1.81493	−	5.58578i	0.134532	−	0.414046i
$183$	−1.44002	−	1.67068i	−0.106449	−	0.123501i
$184$	−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
$189$	−4.39320	+	2.77486i	−0.319558	+	0.201841i
$190$	14.0433	+	10.2030i	1.01881	+	0.740205i
$191$	−8.86336	−	12.1994i	−0.641330	−	0.882715i	0.357356	−	0.933968i	$-0.383678\pi$
$191$	−8.86336	−	12.1994i	−0.641330	−	0.882715i	−0.998686	+	0.0512533i	$0.983678\pi$
$192$	−0.396716	+	1.68601i	−0.0286305	+	0.121677i
$193$	14.2701	+	4.63665i	1.02719	+	0.333753i	0.773678	−	0.633580i	$-0.218415\pi$
$193$	14.2701	+	4.63665i	1.02719	+	0.333753i	0.253510	+	0.967333i	$0.418415\pi$
$194$	0.407961	−	0.296401i	0.0292899	−	0.0212804i
$195$	−30.8529	−	18.7152i	−2.20942	−	1.34023i
$196$	−0.309017	−	0.951057i	−0.0220726	−	0.0679326i
$197$	−20.2870			−1.44539			−0.722694	−	0.691169i	$-0.757096\pi$
$197$	−20.2870			−1.44539			−0.722694	+	0.691169i	$0.757096\pi$
$198$	9.75479	+	1.96061i	0.693243	+	0.139334i
$199$	−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
$201$	13.9252	+	8.44694i	0.982205	+	0.595801i
$202$	−6.43316	+	4.67397i	−0.452636	+	0.328859i
$203$	−5.30661	−	1.72422i	−0.372451	−	0.121017i
$204$	−2.97159	+	12.6290i	−0.208053	+	0.884206i
$205$	−1.48946	−	2.05006i	−0.104028	−	0.143183i
$206$	−0.876361	−	0.636713i	−0.0610589	−	0.0443619i
$207$	8.99931	−	4.68841i	0.625495	−	0.325867i
$208$			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	−0.718217	−	0.695819i	$-0.755042\pi$
$211$	−12.9320	+	4.20186i	−0.890275	+	0.289268i	−0.172058	+	0.985087i	$0.555042\pi$
$212$	0.206762	−	0.284584i	0.0142005	−	0.0195453i
$213$	4.12227	+	4.78258i	0.282453	+	0.327697i
$214$	2.54838	−	7.84311i	0.174204	−	0.536144i
$215$	0.791806	−	2.43693i	0.0540007	−	0.166197i
$216$	3.32070	−	3.99662i	0.225945	−	0.271935i
$217$	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
$222$	−6.97638	−	16.6293i	−0.468224	−	1.11609i
$223$	9.84311	+	7.15144i	0.659143	+	0.478896i	0.866373	−	0.499397i	$-0.166445\pi$
$223$	9.84311	+	7.15144i	0.659143	+	0.478896i	−0.207230	+	0.978292i	$0.566445\pi$
$224$	0.587785	+	0.809017i	0.0392731	+	0.0540547i
$225$	−3.35535	+	22.5005i	−0.223690	+	1.50003i
$226$	11.0972	+	3.60569i	0.738172	+	0.239847i
$227$	13.5019	−	9.80968i	0.896151	−	0.651091i	−0.0413238	−	0.999146i	$-0.513158\pi$
$227$	13.5019	−	9.80968i	0.896151	−	0.651091i	0.937474	+	0.348054i	$0.113158\pi$
$228$	−4.39582	+	7.24670i	−0.291120	+	0.479925i
$229$	8.61260	+	26.5069i	0.569137	+	1.75162i	0.655328	+	0.755344i	$0.272530\pi$
$229$	8.61260	+	26.5069i	0.569137	+	1.75162i	−0.0861914	+	0.996279i	$0.527470\pi$
$230$	11.9985			0.791155
$231$	4.53440	−	3.52693i	0.298341	−	0.232055i
$232$	5.57970			0.366325
$233$	−2.51777	−	7.74890i	−0.164945	−	0.507647i	0.834088	−	0.551632i	$-0.185995\pi$
$233$	−2.51777	−	7.74890i	−0.164945	−	0.507647i	−0.999032	+	0.0439847i	$0.985995\pi$
$234$	7.85682	−	15.7710i	0.513617	−	1.03098i
$235$	3.20627	−	2.32949i	0.209154	−	0.151959i
$236$	−1.36459	−	0.443383i	−0.0888274	−	0.0288618i
$237$	19.9241	+	4.68814i	1.29421	+	0.304527i
$238$	4.40279	+	6.05992i	0.285390	+	0.392806i
$239$	10.4313	+	7.57878i	0.674744	+	0.490230i	0.871610	−	0.490200i	$-0.163076\pi$
$239$	10.4313	+	7.57878i	0.674744	+	0.490230i	−0.196866	+	0.980430i	$0.563076\pi$
$240$	5.66567	−	2.37688i	0.365717	−	0.153427i
$241$			13.6473i			0.879097i	0.898219	+	0.439549i	$0.144862\pi$
$241$			13.6473i			0.879097i	−0.898219	+	0.439549i	$0.855138\pi$
$242$	−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
$246$	0.937209	−	0.807813i	0.0597543	−	0.0515043i
$247$	−8.88130	+	27.3338i	−0.565103	+	1.73921i
$248$	−0.123968	+	0.381533i	−0.00787196	+	0.0242274i
$249$	−13.2057	+	11.3824i	−0.836877	+	0.721333i
$250$	−5.38586	+	7.41300i	−0.340632	+	0.468839i
$251$	−11.1956	+	3.63767i	−0.706659	+	0.229607i	−0.640230	−	0.768184i	$-0.721161\pi$
$251$	−11.1956	+	3.63767i	−0.706659	+	0.229607i	−0.0664296	+	0.997791i	$0.521161\pi$
$252$	−0.496092	−	2.95870i	−0.0312508	−	0.186380i
$253$	−9.39596	+	6.12917i	−0.590719	+	0.385337i
$254$			13.7364i			0.861901i
$255$	42.4385	−	17.8039i	2.65760	−	1.11493i
$256$	−0.809017	−	0.587785i	−0.0505636	−	0.0367366i
$257$	17.4352	+	23.9974i	1.08758	+	1.49692i	0.850898	+	0.525331i	$0.176059\pi$
$257$	17.4352	+	23.9974i	1.08758	+	1.49692i	0.236678	+	0.971588i	$0.423941\pi$
$258$	1.21787	+	0.286565i	0.0758214	+	0.0178407i
$259$	−9.90201	−	3.21736i	−0.615281	−	0.199917i
$260$	16.8550	−	12.2459i	1.04530	−	0.759458i
$261$	−14.9828	−	7.46414i	−0.927411	−	0.462019i
$262$	−2.90973	−	8.95522i	−0.179764	−	0.553256i
$263$	−6.55214			−0.404022			−0.202011	−	0.979383i	$-0.564748\pi$
$263$	−6.55214			−0.404022			−0.202011	+	0.979383i	$0.564748\pi$
$264$	−3.22259	+	4.75552i	−0.198336	+	0.292682i
$265$	−1.24780			−0.0766519
$266$	1.51216	+	4.65396i	0.0927167	+	0.285353i
$267$	−4.47140	+	7.37130i	−0.273645	+	0.451116i
$268$	−7.60735	+	5.52706i	−0.464693	+	0.337619i
$269$	−1.26944	−	0.412466i	−0.0773992	−	0.0251485i	0.270061	−	0.962843i	$-0.412956\pi$
$269$	−1.26944	−	0.412466i	−0.0773992	−	0.0251485i	−0.347461	+	0.937695i	$0.612956\pi$
$270$	−18.3933	−	1.19667i	−1.11938	−	0.0728271i
$271$	2.36938	+	3.26117i	0.143930	+	0.198102i	0.874895	−	0.484312i	$-0.160930\pi$
$271$	2.36938	+	3.26117i	0.143930	+	0.198102i	−0.730966	+	0.682414i	$0.760930\pi$
$272$	−6.05992	−	4.40279i	−0.367437	−	0.266958i
$273$	−3.93542	−	9.38069i	−0.238182	−	0.567745i
$274$		−	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	0.268506	−	0.963278i	$-0.413470\pi$
$277$	17.5076	−	5.68858i	1.05193	−	0.341793i	0.783426	+	0.621485i	$0.213470\pi$
$278$	−8.57067	+	11.7965i	−0.514034	+	0.707508i
$279$	0.843272	−	0.858670i	0.0504854	−	0.0514072i
$280$	1.09617	−	3.37365i	0.0655084	−	0.201614i
$281$	−6.79881	+	20.9246i	−0.405583	+	1.24826i	0.514824	+	0.857296i	$0.327857\pi$
$281$	−6.79881	+	20.9246i	−0.405583	+	1.24826i	−0.920407	+	0.390961i	$0.872143\pi$
$282$	1.26341	+	1.46578i	0.0752347	+	0.0872859i
$283$	2.40654	−	3.31231i	0.143054	−	0.196897i	−0.731478	−	0.681865i	$-0.761169\pi$
$283$	2.40654	−	3.31231i	0.143054	−	0.196897i	0.874531	+	0.484969i	$0.161169\pi$
$284$	−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
$288$	1.38610	+	2.66059i	0.0816767	+	0.156777i
$289$	−31.6384	−	22.9866i	−1.86108	−	1.35215i
$290$	−11.6338	−	16.0126i	−0.683163	−	0.940293i
$291$	0.200051	−	0.850198i	0.0117272	−	0.0498395i
$292$	2.79912	+	0.909488i	0.163806	+	0.0532238i
$293$	−24.2793	+	17.6400i	−1.41841	+	1.03054i	−0.426381	+	0.904543i	$0.640212\pi$
$293$	−24.2793	+	17.6400i	−1.41841	+	1.03054i	−0.992031	+	0.125993i	$0.959788\pi$
$294$	−1.48089	−	0.898304i	−0.0863675	−	0.0523902i
$295$	1.57280	+	4.84058i	0.0915719	+	0.281829i
$296$	10.4116			0.605161
$297$	15.0150	−	8.45871i	0.871259	−	0.490824i
$298$	−7.00585			−0.405838
$299$	6.13892	+	18.8936i	0.355023	+	1.09265i
$300$	−11.2298	−	6.81194i	−0.648352	−	0.393287i
$301$	0.584386	−	0.424582i	0.0336835	−	0.0244725i
$302$	−17.7753	−	5.77554i	−1.02285	−	0.332345i
$303$	−3.15462	+	13.4068i	−0.181228	+	0.770202i
$304$	−2.87631	−	3.95890i	−0.164967	−	0.227058i
$305$	−3.65448	−	2.65513i	−0.209255	−	0.152033i
$306$	10.3825	+	19.9291i	0.593530	+	1.13927i
$307$		−	6.68281i		−	0.381408i	−0.981648	−	0.190704i	$-0.938923\pi$
$307$		−	6.68281i		−	0.381408i	0.981648	−	0.190704i	$-0.0610771\pi$
$308$	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	$-0.711835\pi$
$311$	5.66901	−	7.80272i	0.321460	−	0.442452i	0.938912	+	0.344157i	$0.111835\pi$
$312$	6.64160	+	7.70545i	0.376006	+	0.436235i
$313$	−7.69233	+	23.6746i	−0.434796	+	1.33817i	0.458499	+	0.888695i	$0.348387\pi$
$313$	−7.69233	+	23.6746i	−0.434796	+	1.33817i	−0.893295	+	0.449470i	$0.851613\pi$
$314$	3.71188	−	11.4240i	0.209474	−	0.644693i
$315$	−7.45650	+	7.59266i	−0.420126	+	0.427798i
$316$	−6.94607	+	9.56045i	−0.390747	+	0.537817i
$317$	9.98334	−	3.24378i	0.560720	−	0.182189i	−0.0149249	−	0.999889i	$-0.504751\pi$
$317$	9.98334	−	3.24378i	0.560720	−	0.182189i	0.575645	+	0.817700i	$0.304751\pi$
$318$	−0.0505503	−	0.607173i	−0.00283472	−	0.0340486i
$319$	17.2901	+	6.59652i	0.968062	+	0.369334i
$320$			3.54727i			0.198298i
$321$	−5.52580	−	13.1716i	−0.308420	−	0.735168i
$322$	2.73646	+	1.98816i	0.152497	+	0.110796i
$323$	−21.5449	−	29.6540i	−1.19879	−	1.64999i
$324$	−0.162844	−	8.99853i	−0.00904688	−	0.499918i
$325$	−42.3576	−	13.7628i	−2.34958	−	0.763423i
$326$	16.2322	−	11.7934i	0.899021	−	0.653177i
$327$	11.3739	−	18.7505i	0.628980	−	1.03690i
$328$	0.220749	+	0.679395i	0.0121888	+	0.0375133i
$329$	1.11724			0.0615957
$330$	20.3666	−	0.667225i	1.12114	−	0.0367295i
$331$	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
$333$	−27.9575	−	13.9279i	−1.53206	−	0.763245i
$334$	11.3813	−	8.26902i	0.622759	−	0.452461i
$335$	31.7231	+	10.3075i	1.73322	+	0.563157i
$336$	1.68601	+	0.396716i	0.0919792	+	0.0216427i
$337$	−0.631049	−	0.868564i	−0.0343754	−	0.0473137i	0.791483	−	0.611191i	$-0.209309\pi$
$337$	−0.631049	−	0.868564i	−0.0343754	−	0.0473137i	−0.825859	+	0.563877i	$0.809309\pi$
$338$	17.3898	+	12.6344i	0.945879	+	0.687221i
$339$	18.6364	−	7.81841i	1.01219	−	0.424638i
$340$			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
$345$	15.7415	−	13.5681i	0.847494	−	0.730484i
$346$	2.83587	−	8.72792i	0.152458	−	0.469216i
$347$	−4.49186	+	13.8245i	−0.241136	+	0.742139i	0.755113	+	0.655595i	$0.227582\pi$
$347$	−4.49186	+	13.8245i	−0.241136	+	0.742139i	−0.996248	+	0.0865437i	$0.972418\pi$
$348$	7.32034	−	6.30965i	0.392411	−	0.338233i
$349$	10.7352	−	14.7758i	0.574643	−	0.790928i	−0.418452	−	0.908239i	$-0.637427\pi$
$349$	10.7352	−	14.7758i	0.574643	−	0.790928i	0.993095	+	0.117311i	$0.0374273\pi$
$350$	−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	$-0.265762\pi$
$354$	−2.29168	+	0.961413i	−0.121801	+	0.0510985i
$355$	10.4615	+	7.60072i	0.555238	+	0.403404i
$356$	−2.92576	−	4.02696i	−0.155065	−	0.213428i
$357$	12.6290	+	2.97159i	0.668397	+	0.157273i
$358$	22.1721	+	7.20416i	1.17183	+	0.380752i
$359$	13.4394	−	9.76433i	0.709307	−	0.515342i	−0.173643	−	0.984809i	$-0.555554\pi$
$359$	13.4394	−	9.76433i	0.709307	−	0.515342i	0.882950	+	0.469467i	$0.155554\pi$
$360$	4.74529	−	9.52524i	0.250099	−	0.502024i
$361$	−1.52839	−	4.70391i	−0.0804418	−	0.247574i
$362$	−18.8387			−0.990138
$363$	−15.6082	+	10.9263i	−0.819216	+	0.573485i
$364$	5.87324			0.307841
$365$	−3.22620	−	9.92922i	−0.168867	−	0.519719i
$366$	1.14392	−	1.88581i	0.0597939	−	0.0985729i
$367$	−23.8528	+	17.3301i	−1.24511	+	0.904622i	−0.997928	−	0.0643477i	$-0.979503\pi$
$367$	−23.8528	+	17.3301i	−1.24511	+	0.904622i	−0.247178	+	0.968970i	$0.579503\pi$
$368$	−3.21690	−	1.04523i	−0.167693	−	0.0544866i
$369$	0.316087	−	2.11964i	0.0164548	−	0.110344i
$370$	−21.7085	−	29.8792i	−1.12857	−	1.55334i
$371$	−0.284584	−	0.206762i	−0.0147748	−	0.0107345i
$372$	0.268806	+	0.640742i	0.0139370	+	0.0332209i
$373$		−	2.76222i		−	0.143023i	−0.997440	−	0.0715113i	$-0.977218\pi$
$373$		−	2.76222i		−	0.143023i	0.997440	−	0.0715113i	$-0.0227822\pi$
$374$	−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
$378$	−3.99662	−	3.32070i	−0.205564	−	0.170798i
$379$	7.94085	−	24.4394i	0.407894	−	1.25537i	−0.510560	−	0.859842i	$-0.670562\pi$
$379$	7.94085	−	24.4394i	0.407894	−	1.25537i	0.918454	−	0.395527i	$-0.129438\pi$
$380$	−5.36405	+	16.5088i	−0.275170	+	0.846886i
$381$	15.5335	+	18.0217i	0.795805	+	0.923277i
$382$	8.86336	−	12.1994i	0.453489	−	0.624174i
$383$	−26.3390	+	8.55807i	−1.34586	+	0.437297i	−0.891298	−	0.453417i	$-0.850205\pi$
$383$	−26.3390	+	8.55807i	−1.34586	+	0.437297i	−0.454564	+	0.890714i	$0.650205\pi$
$384$	−1.72608	+	0.143705i	−0.0880836	+	0.00733341i
$385$	7.38521	−	9.15821i	0.376385	−	0.466746i
$386$			15.0045i			0.763710i
$387$	1.92185	−	1.00124i	0.0976933	−	0.0508957i
$388$	0.407961	+	0.296401i	0.0207111	+	0.0150475i
$389$	6.73520	+	9.27020i	0.341488	+	0.470018i	0.944875	−	0.327430i	$-0.106183\pi$
$389$	6.73520	+	9.27020i	0.341488	+	0.470018i	−0.603387	+	0.797448i	$0.706183\pi$
$390$	8.26517	−	35.1262i	0.418523	−	1.77868i
$391$	−24.0961	−	7.82930i	−1.21859	−	0.395945i
$392$	0.809017	−	0.587785i	0.0408615	−	0.0296876i
$393$	−13.9442	−	8.45850i	−0.703393	−	0.426675i
$394$	−6.26902	−	19.2941i	−0.315829	−	0.972021i
$395$	41.9193			2.10919
$396$	1.14975	+	9.88322i	0.0577769	+	0.496651i
$397$	−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
$399$	7.24670	+	4.39582i	0.362789	+	0.220066i
$400$	6.13486	−	4.45724i	0.306743	−	0.222862i
$401$	4.03628	+	1.31147i	0.201562	+	0.0654915i	0.408058	−	0.912956i	$-0.366206\pi$
$401$	4.03628	+	1.31147i	0.201562	+	0.0654915i	−0.206496	+	0.978447i	$0.566206\pi$
$402$	−3.73040	+	15.8539i	−0.186056	+	0.790718i
$403$	1.38491	+	1.90617i	0.0689875	+	0.0949531i
$404$	−6.43316	−	4.67397i	−0.320062	−	0.232538i
$405$	−25.4844	+	19.2295i	−1.26633	+	0.955524i
$406$		−	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	−0.456519	−	0.889714i	$-0.650904\pi$
$409$	−6.12556	+	1.99032i	−0.302890	+	0.0984148i	0.153629	+	0.988129i	$0.450904\pi$
$410$	1.48946	−	2.05006i	0.0735591	−	0.101245i
$411$	−5.55700	−	6.44712i	−0.274107	−	0.318013i
$412$	0.334740	−	1.03022i	0.0164915	−	0.0507555i
$413$	−0.443383	+	1.36459i	−0.0218175	+	0.0671472i
$414$	7.23989	+	7.11005i	0.355821	+	0.349440i
$415$	−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	$-0.0779152\pi$
$420$	−2.37688	−	5.66567i	−0.115980	−	0.276456i
$421$	15.4694	+	11.2392i	0.753931	+	0.547763i	0.897043	−	0.441944i	$-0.145711\pi$
$421$	15.4694	+	11.2392i	0.753931	+	0.547763i	−0.143112	+	0.989707i	$0.545711\pi$
$422$	−7.99241	−	11.0006i	−0.389064	−	0.535501i
$423$	3.31508	+	0.494354i	0.161185	+	0.0240363i
$424$	0.334548	+	0.108701i	0.0162471	+	0.00527900i
$425$	45.9530	−	33.3868i	2.22905	−	1.61950i
$426$	−3.27465	+	5.39841i	−0.158657	+	0.261554i
$427$	−0.393510	−	1.21110i	−0.0190433	−	0.0586093i
$428$	8.24673			0.398621
$429$	11.4711	+	31.7293i	0.553828	+	1.53190i
$430$	2.56234			0.123567
$431$	−1.42293	−	4.37933i	−0.0685401	−	0.210945i	0.910920	−	0.412583i	$-0.135373\pi$
$431$	−1.42293	−	4.37933i	−0.0685401	−	0.210945i	−0.979460	+	0.201638i	$0.935373\pi$
$432$	4.82716	+	1.92315i	0.232247	+	0.0925276i
$433$	10.5893	−	7.69358i	0.508890	−	0.369730i	−0.303513	−	0.952827i	$-0.598159\pi$
$433$	10.5893	−	7.69358i	0.508890	−	0.369730i	0.812402	+	0.583098i	$0.198159\pi$
$434$	0.381533	+	0.123968i	0.0183142	+	0.00595064i
$435$	−33.3706	−	7.85208i	−1.60000	−	0.376478i
$436$	7.44228	+	10.2434i	0.356421	+	0.490571i
$437$	−13.3908	−	9.72896i	−0.640567	−	0.465399i
$438$	4.70080	−	1.97210i	0.224613	−	0.0942304i
$439$		−	35.1032i		−	1.67538i	−0.546143	−	0.837692i	$-0.683904\pi$
$439$		−	35.1032i		−	1.67538i	0.546143	−	0.837692i	$-0.316096\pi$
$440$	−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	$-0.677605\pi$
$443$	9.28132	−	12.7746i	0.440969	−	0.606941i	0.970427	+	0.241395i	$0.0776048\pi$
$444$	13.6596	−	11.7737i	0.648255	−	0.558753i
$445$	−5.45627	+	16.7927i	−0.258652	+	0.796049i
$446$	−3.75973	+	11.5713i	−0.178028	+	0.547915i
$447$	−9.19140	+	7.92238i	−0.434738	+	0.374716i
$448$	−0.587785	+	0.809017i	−0.0277702	+	0.0382225i
$449$	−22.3072	+	7.24806i	−1.05274	+	0.342057i	−0.783744	−	0.621084i	$-0.786693\pi$
$449$	−22.3072	+	7.24806i	−1.05274	+	0.342057i	−0.268999	+	0.963141i	$0.586693\pi$
$450$	−22.4361	+	3.76192i	−1.05765	+	0.177338i
$451$	−0.119158	+	2.36626i	−0.00561091	+	0.111423i
$452$			11.6682i			0.548828i
$453$	−29.8516	+	12.5234i	−1.40255	+	0.588402i
$454$	13.5019	+	9.80968i	0.633674	+	0.460391i
$455$	−12.2459	−	16.8550i	−0.574096	−	0.790176i
$456$	−8.25041	−	1.94132i	−0.386361	−	0.0909105i
$457$	−9.92969	−	3.22635i	−0.464491	−	0.150922i	0.0674159	−	0.997725i	$-0.478525\pi$
$457$	−9.92969	−	3.22635i	−0.464491	−	0.150922i	−0.531907	+	0.846803i	$0.678525\pi$
$458$	−22.5481	+	16.3821i	−1.05360	+	0.765487i
$459$	36.1577	+	14.4053i	1.68770	+	0.672382i
$460$	3.70773	+	11.4112i	0.172874	+	0.532051i
$461$	13.5068			0.629074			0.314537	−	0.949245i	$-0.398151\pi$
$461$	13.5068			0.629074			0.314537	+	0.949245i	$0.398151\pi$
$462$	4.75552	+	3.22259i	0.221247	+	0.149928i
$463$	−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
$465$	1.27833	−	2.10739i	0.0592812	−	0.0977278i
$466$	6.59161	−	4.78908i	0.305350	−	0.221850i
$467$	−28.3800	−	9.22122i	−1.31327	−	0.426707i	−0.433091	−	0.901350i	$-0.642577\pi$
$467$	−28.3800	−	9.22122i	−1.31327	−	0.426707i	−0.880178	+	0.474643i	$0.842577\pi$
$468$	17.4270	+	2.59877i	0.805564	+	0.120128i
$469$	5.52706	+	7.60735i	0.255216	+	0.351275i
$470$	3.20627	+	2.32949i	0.147894	+	0.107451i
$471$	−8.04868	−	19.1853i	−0.370864	−	0.884012i
$472$		−	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
$477$	−0.752926	−	0.739424i	−0.0344741	−	0.0338559i
$478$	−3.98440	+	12.2627i	−0.182242	+	0.560884i
$479$	−5.84234	+	17.9809i	−0.266943	+	0.821567i	0.724296	+	0.689489i	$0.242165\pi$
$479$	−5.84234	+	17.9809i	−0.266943	+	0.821567i	−0.991239	+	0.132078i	$0.957835\pi$
$480$	4.01133	+	4.65387i	0.183091	+	0.212419i
$481$	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
$486$	−10.3894	−	11.6216i	−0.471272	−	0.527165i
$487$	−16.7636	−	12.1795i	−0.759633	−	0.551906i	0.139165	−	0.990269i	$-0.455558\pi$
$487$	−16.7636	−	12.1795i	−0.759633	−	0.551906i	−0.898798	+	0.438364i	$0.855558\pi$
$488$	0.748501	+	1.03022i	0.0338831	+	0.0466360i
$489$	7.95978	−	33.8283i	0.359954	−	1.52977i
$490$	−3.37365	−	1.09617i	−0.152406	−	0.0495197i
$491$	−11.8550	+	8.61314i	−0.535007	+	0.388706i	−0.822227	−	0.569159i	$-0.807269\pi$
$491$	−11.8550	+	8.61314i	−0.535007	+	0.388706i	0.287220	+	0.957865i	$0.407269\pi$
$492$	1.05789	+	0.641711i	0.0476933	+	0.0289306i
$493$	12.9152	+	39.7490i	0.581673	+	1.79020i
$494$	−28.7405			−1.29310
$495$	25.9656	−	23.9064i	1.16707	−	1.07451i
$496$	−0.401168			−0.0180130
$497$	1.12648	+	3.46695i	0.0505296	+	0.155514i
$498$	−14.9061	−	9.04199i	−0.667960	−	0.405181i
$499$	12.3645	−	8.98335i	0.553512	−	0.402150i	−0.275567	−	0.961282i	$-0.588866\pi$
$499$	12.3645	−	8.98335i	0.553512	−	0.402150i	0.829079	+	0.559132i	$0.188866\pi$
$500$	−8.71450	−	2.83151i	−0.389724	−	0.126629i
$501$	5.58104	−	23.7189i	0.249343	−	1.05968i
$502$	−6.91925	−	9.52354i	−0.308821	−	0.425056i
$503$	−6.77449	−	4.92195i	−0.302059	−	0.219459i	0.426422	−	0.904524i	$-0.359774\pi$
$503$	−6.77449	−	4.92195i	−0.302059	−	0.219459i	−0.728482	+	0.685065i	$0.759774\pi$
$504$	2.66059	−	1.38610i	0.118512	−	0.0617418i
$505$			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	$-0.714813\pi$
$509$	7.01353	−	9.65330i	0.310869	−	0.427875i	0.935652	+	0.352924i	$0.114813\pi$
$510$	30.0468	+	34.8597i	1.33049	+	1.54361i
$511$	0.909488	−	2.79912i	0.0402334	−	0.123826i
$512$	0.309017	−	0.951057i	0.0136568	−	0.0420312i
$513$	19.5573	+	16.2497i	0.863476	+	0.717443i
$514$	−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
$519$	−6.14919	−	14.6576i	−0.269919	−	0.643395i
$520$	16.8550	+	12.2459i	0.739142	+	0.537018i
$521$	17.2432	+	23.7333i	0.755440	+	1.03977i	0.997580	+	0.0695327i	$0.0221508\pi$
$521$	17.2432	+	23.7333i	0.755440	+	1.03977i	−0.242140	+	0.970241i	$0.577849\pi$
$522$	2.46888	−	16.5560i	0.108060	−	0.724637i
$523$	−33.6825	−	10.9441i	−1.47283	−	0.478553i	−0.540871	−	0.841106i	$-0.681905\pi$
$523$	−33.6825	−	10.9441i	−1.47283	−	0.478553i	−0.931963	+	0.362553i	$0.881905\pi$
$524$	7.61777	−	5.53463i	0.332784	−	0.241782i
$525$	−6.81194	+	11.2298i	−0.297297	+	0.490108i
$526$	−2.02472	−	6.23145i	−0.0882821	−	0.271704i
$527$	−3.00494			−0.130897
$528$	−5.51860	−	1.59533i	−0.240166	−	0.0694277i
$529$	11.5590			0.502566
$530$	−0.385592	−	1.18673i	−0.0167491	−	0.0515483i
$531$	−1.91940	+	3.85282i	−0.0832950	+	0.167198i
$532$	−3.95890	+	2.87631i	−0.171640	+	0.124704i
$533$	3.99025	+	1.29651i	0.172837	+	0.0561581i
$534$	−8.39226	−	1.97469i	−0.363169	−	0.0854534i
$535$	−17.1947	−	23.6665i	−0.743392	−	1.02319i
$536$	−7.60735	−	5.52706i	−0.328587	−	0.238733i
$537$	37.2356	−	15.6212i	1.60683	−	0.674105i
$538$		−	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	−0.0528869	−	0.998601i	$-0.516842\pi$
$541$	11.4271	−	3.71289i	0.491289	−	0.159630i	0.544176	+	0.838971i	$0.316842\pi$
$542$	−2.36938	+	3.26117i	−0.101774	+	0.140079i
$543$	−24.7156	+	21.3032i	−1.06065	+	0.914208i
$544$	2.31468	−	7.12386i	0.0992412	−	0.305433i
$545$	13.8792	−	42.7157i	0.594519	−	1.82974i
$546$	7.70545	−	6.64160i	0.329763	−	0.284234i
$547$	−17.6703	+	24.3211i	−0.755527	+	1.03989i	0.242045	+	0.970265i	$0.422182\pi$
$547$	−17.6703	+	24.3211i	−0.755527	+	1.03989i	−0.997573	+	0.0696295i	$0.977818\pi$
$548$	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
$552$	−5.40242	+	2.26644i	−0.229942	+	0.0964662i
$553$	9.56045	+	6.94607i	0.406551	+	0.295377i
$554$	10.8203	+	14.8929i	0.459711	+	0.632738i
$555$	−62.2687	−	14.6518i	−2.64316	−	0.621934i
$556$	−13.8676	−	4.50587i	−0.588119	−	0.191091i
$557$	−6.85674	+	4.98172i	−0.290530	+	0.211082i	−0.723497	−	0.690327i	$-0.757466\pi$
$557$	−6.85674	+	4.98172i	−0.290530	+	0.211082i	0.432968	+	0.901410i	$0.357466\pi$
$558$	1.07723	+	0.536655i	0.0456027	+	0.0227184i
$559$	1.31100	+	4.03484i	0.0554494	+	0.170656i
$560$	3.54727			0.149899
$561$	−41.3369	−	11.9497i	−1.74525	−	0.504519i
$562$	−22.0014			−0.928074
$563$	12.0008	+	36.9347i	0.505774	+	1.55661i	0.799466	+	0.600711i	$0.205116\pi$
$563$	12.0008	+	36.9347i	0.505774	+	1.55661i	−0.293693	+	0.955900i	$0.594884\pi$
$564$	−1.00363	+	1.65452i	−0.0422602	+	0.0696679i
$565$	33.4855	−	24.3287i	1.40875	−	1.02351i
$566$	3.89386	+	1.26519i	0.163671	+	0.0531799i
$567$	−8.99853	+	0.162844i	−0.377903	+	0.00683880i
$568$	−2.14270	−	2.94917i	−0.0899055	−	0.123744i
$569$	2.37823	+	1.72789i	0.0997006	+	0.0724367i	0.636519	−	0.771261i	$-0.280374\pi$
$569$	2.37823	+	1.72789i	0.0997006	+	0.0724367i	−0.536818	+	0.843698i	$0.680374\pi$
$570$	11.6312	+	27.7247i	0.487176	+	1.16126i
$571$		−	7.04914i		−	0.294997i	−0.989062	−	0.147499i	$-0.952878\pi$
$571$		−	7.04914i		−	0.294997i	0.989062	−	0.147499i	$-0.0471222\pi$
$572$	−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
$576$	−2.10204	+	2.14043i	−0.0875851	+	0.0891844i
$577$	4.40535	−	13.5583i	0.183397	−	0.564438i	−0.816520	−	0.577317i	$-0.804100\pi$
$577$	4.40535	−	13.5583i	0.183397	−	0.564438i	0.999917	+	0.0128791i	$0.00409965\pi$
$578$	12.0848	−	37.1931i	0.502661	−	1.54703i
$579$	16.9675	+	19.6853i	0.705143	+	0.818094i
$580$	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
$585$	−28.8779	−	55.4306i	−1.19396	−	2.29177i
$586$	−24.2793	−	17.6400i	−1.00297	−	0.728700i
$587$	5.72420	+	7.87869i	0.236263	+	0.325188i	0.910641	−	0.413198i	$-0.135588\pi$
$587$	5.72420	+	7.87869i	0.236263	+	0.325188i	−0.674378	+	0.738386i	$0.735588\pi$
$588$	0.396716	−	1.68601i	0.0163603	−	0.0695297i
$589$	−1.86702	−	0.606632i	−0.0769292	−	0.0249958i
$590$	−4.11764	+	2.99164i	−0.169521	+	0.123164i
$591$	−30.0429	−	18.2239i	−1.23580	−	0.749630i
$592$	3.21736	+	9.90201i	0.132233	+	0.406970i
$593$	−13.3536			−0.548368			−0.274184	−	0.961677i	$-0.588408\pi$
$593$	−13.3536			−0.548368			−0.274184	+	0.961677i	$0.588408\pi$
$594$	12.6846	+	11.6662i	0.520455	+	0.478671i
$595$	26.5707			1.08929
$596$	−2.16493	−	6.66296i	−0.0886789	−	0.272926i
$597$	−0.584842	−	0.354762i	−0.0239360	−	0.0145195i
$598$	−16.0719	+	11.6769i	−0.657228	+	0.477504i
$599$	44.0446	+	14.3110i	1.79961	+	0.584730i	0.999878	−	0.0156208i	$-0.00497245\pi$
$599$	44.0446	+	14.3110i	1.79961	+	0.584730i	0.799737	+	0.600351i	$0.204972\pi$
$600$	3.00834	−	12.7852i	0.122815	−	0.521952i
$601$	−4.40260	−	6.05967i	−0.179586	−	0.247179i	0.709728	−	0.704476i	$-0.248818\pi$
$601$	−4.40260	−	6.05967i	−0.179586	−	0.247179i	−0.889314	+	0.457297i	$0.848818\pi$
$602$	0.584386	+	0.424582i	0.0238178	+	0.0173047i
$603$	13.0338	+	25.0180i	0.530776	+	1.01881i
$604$		−	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	0.0291336	−	0.999576i	$-0.490725\pi$
$607$	15.7738	−	5.12522i	0.640239	−	0.208026i	0.611105	+	0.791549i	$0.290725\pi$
$608$	2.87631	−	3.95890i	0.116650	−	0.160554i
$609$	−6.30965	−	7.32034i	−0.255680	−	0.296635i
$610$	1.39589	−	4.29610i	0.0565178	−	0.173944i
$611$	−2.02772	+	6.24068i	−0.0820328	+	0.252471i
$612$	−15.7453	+	16.0328i	−0.636465	+	0.648087i
$613$	−11.8704	+	16.3382i	−0.479440	+	0.659892i	−0.978397	−	0.206734i	$-0.933716\pi$
$613$	−11.8704	+	16.3382i	−0.479440	+	0.659892i	0.498957	+	0.866626i	$0.333716\pi$
$614$	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	$-0.363864\pi$
$618$	−0.725836	−	1.73014i	−0.0291974	−	0.0695966i
$619$	−11.6635	−	8.47402i	−0.468795	−	0.340600i	0.328176	−	0.944616i	$-0.393566\pi$
$619$	−11.6635	−	8.47402i	−0.468795	−	0.340600i	−0.796972	+	0.604017i	$0.793566\pi$
$620$	0.836448	+	1.15127i	0.0335926	+	0.0462362i
$621$	17.5387	+	1.14107i	0.703802	+	0.0457896i
$622$	9.17265	+	2.98038i	0.367790	+	0.119502i
$623$	−4.02696	+	2.92576i	−0.161337	+	0.117218i
$624$	−5.27596	+	8.69765i	−0.211207	+	0.348185i
$625$	−1.67241	−	5.14715i	−0.0668964	−	0.205886i
$626$	−24.8929			−0.994921
$627$	−23.2709	−	15.7696i	−0.929352	−	0.629778i
$628$	12.0119			0.479327
$629$	24.0995	+	74.1707i	0.960911	+	2.95738i
$630$	−9.52524	−	4.74529i	−0.379495	−	0.189057i
$631$	−1.08246	+	0.786456i	−0.0430922	+	0.0313083i	−0.609123	−	0.793076i	$-0.708478\pi$
$631$	−1.08246	+	0.786456i	−0.0430922	+	0.0313083i	0.566031	+	0.824384i	$0.308478\pi$
$632$	−11.2390	−	3.65177i	−0.447063	−	0.145259i
$633$	−22.9255	−	5.39435i	−0.911205	−	0.214406i
$634$	6.17004	+	8.49234i	0.245044	+	0.337274i
$635$	39.4208	+	28.6409i	1.56437	+	1.13658i
$636$	0.561835	−	0.235703i	0.0222782	−	0.00934624i
$637$		−	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	$-0.744692\pi$
$641$	5.14547	−	7.08213i	0.203234	−	0.279727i	0.898452	+	0.439071i	$0.144692\pi$
$642$	10.8194	−	9.32560i	0.427007	−	0.368052i
$643$	−2.58491	+	7.95555i	−0.101939	+	0.313736i	−0.989000	−	0.147916i	$-0.952743\pi$
$643$	−2.58491	+	7.95555i	−0.101939	+	0.313736i	0.887061	+	0.461653i	$0.152743\pi$
$644$	−1.04523	+	3.21690i	−0.0411880	+	0.126764i
$645$	3.36168	−	2.89755i	0.132366	−	0.114091i
$646$	21.5449	−	29.6540i	0.847672	−	1.16672i
$647$	12.7785	−	4.15198i	0.502374	−	0.163231i	−0.0468572	−	0.998902i	$-0.514921\pi$
$647$	12.7785	−	4.15198i	0.502374	−	0.163231i	0.549231	+	0.835670i	$0.314921\pi$
$648$	8.50779	−	2.93557i	0.334217	−	0.115320i
$649$	1.69629	−	4.44616i	0.0665854	−	0.174527i
$650$		−	44.5374i		−	1.74690i
$651$	0.640742	−	0.268806i	0.0251127	−	0.0105353i
$652$	16.2322	+	11.7934i	0.635704	+	0.461866i
$653$	−7.73150	−	10.6415i	−0.302557	−	0.416434i	0.630485	−	0.776201i	$-0.282856\pi$
$653$	−7.73150	−	10.6415i	−0.302557	−	0.416434i	−0.933042	+	0.359768i	$0.882856\pi$
$654$	21.3475	+	5.02305i	0.834753	+	0.196417i
$655$	−31.7666	−	10.3216i	−1.24122	−	0.403298i
$656$	−0.577928	+	0.419889i	−0.0225643	+	0.0163939i
$657$	3.93717	−	7.90308i	0.153604	−	0.308329i
$658$	0.345247	+	1.06256i	0.0134591	+	0.0414230i
$659$	15.8605			0.617836			0.308918	−	0.951089i	$-0.400033\pi$
$659$	15.8605			0.617836			0.308918	+	0.951089i	$0.400033\pi$
$660$	6.92819	+	19.1636i	0.269679	+	0.745941i
$661$	−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
$663$	−39.5194	+	65.1495i	−1.53481	+	2.53020i
$664$	8.14326	−	5.91643i	0.316020	−	0.229602i
$665$	16.5088	+	5.36405i	0.640185	+	0.208009i
$666$	4.60688	−	30.8932i	0.178513	−	1.19709i
$667$	11.0933	+	15.2686i	0.429534	+	0.591203i
$668$	11.3813	+	8.26902i	0.440357	+	0.319938i
$669$	8.15244	+	19.4326i	0.315192	+	0.751309i
$670$			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	−0.0164212	−	0.999865i	$-0.505227\pi$
$673$	14.4758	−	4.70346i	0.558000	−	0.181305i	0.574421	+	0.818560i	$0.305227\pi$
$674$	0.631049	−	0.868564i	0.0243071	−	0.0334558i
$675$	−25.1812	+	30.3068i	−0.969226	+	1.16651i
$676$	−6.64230	+	20.4429i	−0.255473	+	0.786266i
$677$	−8.25578	+	25.4087i	−0.317295	+	0.976534i	0.657504	+	0.753451i	$0.271612\pi$
$677$	−8.25578	+	25.4087i	−0.317295	+	0.976534i	−0.974799	+	0.223083i	$0.928388\pi$
$678$	13.1947	+	15.3083i	0.506740	+	0.587910i
$679$	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	$0.967744\pi$
$684$	−13.0195	+	6.78283i	−0.497813	+	0.259348i
$685$	−14.1025	−	10.2461i	−0.538830	−	0.391483i
$686$	−0.587785	−	0.809017i	−0.0224417	−	0.0308884i
$687$	−11.0569	+	46.9906i	−0.421846	+	1.79280i
$688$	−0.686987	−	0.223216i	−0.0261911	−	0.00851002i
$689$	1.67143	−	1.21436i	0.0636763	−	0.0462635i
$690$	17.7685	+	10.7783i	0.676434	+	0.410322i
$691$	1.68727	+	5.19288i	0.0641868	+	0.197547i	0.978007	−	0.208573i	$-0.0668818\pi$
$691$	1.68727	+	5.19288i	0.0641868	+	0.197547i	−0.913820	+	0.406119i	$0.866882\pi$
$692$	9.17708			0.348860
$693$	9.88322	−	1.14975i	0.375433	−	0.0436752i
$694$	−14.5360			−0.551777
$695$	15.9835	+	49.1922i	0.606289	+	1.86597i
$696$	8.26294	+	5.01226i	0.313206	+	0.189989i
$697$	−4.32895	+	3.14517i	−0.163971	+	0.119132i
$698$	17.3699	+	5.64384i	0.657462	+	0.213622i
$699$	3.23232	−	13.7370i	0.122257	−	0.519582i
$700$	−4.45724	−	6.13486i	−0.168468	−	0.231876i
$701$	17.8029	+	12.9346i	0.672406	+	0.488532i	0.870830	−	0.491585i	$-0.163582\pi$
$701$	17.8029	+	12.9346i	0.672406	+	0.488532i	−0.198423	+	0.980116i	$0.563582\pi$
$702$	25.8023	−	16.2974i	0.973845	−	0.615106i
$703$			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
$708$	−1.62253	−	1.88242i	−0.0609783	−	0.0707458i
$709$	1.64692	−	5.06869i	0.0618512	−	0.190358i	−0.915356	−	0.402645i	$-0.868091\pi$
$709$	1.64692	−	5.06869i	0.0618512	−	0.190358i	0.977207	+	0.212286i	$0.0680910\pi$
$710$	−3.99593	+	12.2982i	−0.149965	+	0.461544i
$711$	25.2942	+	24.8406i	0.948606	+	0.931595i
$712$	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
$717$	8.63960	+	20.5938i	0.322652	+	0.769091i
$718$	13.4394	+	9.76433i	0.501556	+	0.364402i
$719$	−28.6518	−	39.4358i	−1.06853	−	1.47071i	−0.871555	−	0.490297i	$-0.836888\pi$
$719$	−28.6518	−	39.4358i	−1.06853	−	1.47071i	−0.196975	−	0.980409i	$-0.563112\pi$
$720$	10.5254	+	1.56958i	0.392259	+	0.0584949i
$721$	−1.03022	−	0.334740i	−0.0383675	−	0.0124664i
$722$	4.00139	−	2.90718i	0.148916	−	0.108194i
$723$	−12.2594	+	20.2102i	−0.455932	+	0.751624i
$724$	−5.82147	−	17.9166i	−0.216353	−	0.665866i
$725$	−42.3114			−1.57141
$726$	−15.2148	−	11.4678i	−0.564673	−	0.425611i
$727$	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
$729$	−26.7724	−	3.49845i	−0.991570	−	0.129572i
$730$	8.44630	−	6.13659i	0.312611	−	0.227126i
$731$	−5.14586	−	1.67199i	−0.190327	−	0.0618408i
$732$	2.14700	+	0.505189i	0.0793556	+	0.0186723i
$733$	14.1111	+	19.4222i	0.521204	+	0.717376i	0.985758	−	0.168169i	$-0.0537853\pi$
$733$	14.1111	+	19.4222i	0.521204	+	0.717376i	−0.464554	+	0.885545i	$0.653785\pi$
$734$	−23.8528	−	17.3301i	−0.880423	−	0.639665i
$735$	−5.66567	+	2.37688i	−0.208981	+	0.0876725i
$736$		−	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	−0.363581	−	0.931563i	$-0.618446\pi$
$739$	−2.99480	+	0.973071i	−0.110166	+	0.0357950i	0.253415	+	0.967358i	$0.418446\pi$
$740$	21.7085	−	29.8792i	0.798020	−	1.09838i
$741$	−37.7064	+	32.5004i	−1.38518	+	1.19393i
$742$	0.108701	−	0.334548i	0.00399055	−	0.0122816i
$743$	2.93199	−	9.02374i	0.107564	−	0.331049i	−0.882759	−	0.469825i	$-0.844317\pi$
$743$	2.93199	−	9.02374i	0.107564	−	0.331049i	0.990324	+	0.138776i	$0.0443169\pi$
$744$	−0.526316	+	0.453650i	−0.0192957	+	0.0166316i
$745$	−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
$750$	−14.6350	+	6.13973i	−0.534395	+	0.224191i
$751$	−3.41259	−	2.47939i	−0.124527	−	0.0904744i	0.523778	−	0.851855i	$-0.324522\pi$
$751$	−3.41259	−	2.47939i	−0.124527	−	0.0904744i	−0.648306	+	0.761380i	$0.724522\pi$
$752$	−0.656700	−	0.903870i	−0.0239474	−	0.0329607i
$753$	−19.8472	−	4.67004i	−0.723273	−	0.170186i
$754$	31.1670	+	10.1268i	1.13503	+	0.368795i
$755$	−53.6367	+	38.9693i	−1.95204	+	1.41824i
$756$	1.92315	−	4.82716i	0.0699443	−	0.175562i
$757$	−4.52715	−	13.9331i	−0.164542	−	0.506408i	0.834460	−	0.551068i	$-0.185780\pi$
$757$	−4.52715	−	13.9331i	−0.164542	−	0.506408i	−0.999002	+	0.0446600i	$0.985780\pi$
$758$	25.6971			0.933362
$759$	−19.4203	+	0.636223i	−0.704912	+	0.0230934i
$760$	−17.3584			−0.629656
$761$	−13.8252	−	42.5495i	−0.501162	−	1.54242i	−0.807129	−	0.590375i	$-0.798980\pi$
$761$	−13.8252	−	42.5495i	−0.501162	−	1.54242i	0.305967	−	0.952042i	$-0.401020\pi$
$762$	−12.3395	+	20.3422i	−0.447013	+	0.736921i
$763$	10.2434	−	7.44228i	0.370837	−	0.269429i
$764$	14.3412	+	4.65974i	0.518847	+	0.168584i
$765$	78.8403	+	11.7569i	2.85048	+	0.425072i
$766$	−16.2784	−	22.4053i	−0.588163	−	0.809537i
$767$	−6.81761	−	4.95328i	−0.246170	−	0.178853i
$768$	−0.670059	−	1.59719i	−0.0241787	−	0.0576337i
$769$		−	33.3068i		−	1.20108i	−0.799597	−	0.600538i	$-0.794953\pi$
$769$		−	33.3068i		−	1.20108i	0.799597	−	0.600538i	$-0.205047\pi$
$770$	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	$-0.760101\pi$
$773$	4.08618	−	5.62414i	0.146970	−	0.202286i	0.876154	+	0.482030i	$0.160101\pi$
$774$	1.54612	+	1.51839i	0.0555741	+	0.0545774i
$775$	0.940060	−	2.89321i	0.0337680	−	0.103927i
$776$	−0.155827	+	0.479587i	−0.00559387	+	0.0172162i
$777$	−11.7737	−	13.6596i	−0.422378	−	0.490035i
$778$	−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
$783$	−15.4829	−	24.5127i	−0.553312	−	0.876012i
$784$	0.809017	+	0.587785i	0.0288935	+	0.0209923i
$785$	−25.0452	−	34.4717i	−0.893901	−	1.23035i
$786$	3.73551	−	15.8756i	0.133241	−	0.566263i
$787$	−7.96512	−	2.58803i	−0.283926	−	0.0922532i	0.163592	−	0.986528i	$-0.447692\pi$
$787$	−7.96512	−	2.58803i	−0.283926	−	0.0922532i	−0.447518	+	0.894275i	$0.647692\pi$
$788$	16.4125	−	11.9244i	0.584671	−	0.424789i
$789$	−9.70303	−	5.88581i	−0.345437	−	0.209541i
$790$	12.9538	+	39.8677i	0.460875	+	1.41843i
$791$	11.6682			0.414875
$792$	−9.04421	+	4.14756i	−0.321372	+	0.147377i
$793$	7.47914			0.265592
$794$	−0.00835071	−	0.0257008i	−0.000296356	−	0.000912088i
$795$	−1.84787	−	1.12091i	−0.0655370	−	0.0397545i
$796$	0.319501	−	0.232131i	0.0113244	−	0.00822766i
$797$	25.3417	+	8.23400i	0.897647	+	0.291663i	0.721266	−	0.692659i	$-0.243561\pi$
$797$	25.3417	+	8.23400i	0.897647	+	0.291663i	0.176382	+	0.984322i	$0.443561\pi$
$798$	−1.94132	+	8.25041i	−0.0687219	+	0.292061i
$799$	−4.91899	−	6.77041i	−0.174021	−	0.239520i
$800$	6.13486	+	4.45724i	0.216900	+	0.157587i
$801$	−13.2433	+	6.89944i	−0.467930	+	0.243780i
$802$			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
$807$	−1.50939	−	1.75116i	−0.0531330	−	0.0616439i
$808$	2.45725	−	7.56263i	0.0864457	−	0.266053i
$809$	14.0778	−	43.3272i	0.494951	−	1.52330i	−0.322083	−	0.946711i	$-0.604383\pi$
$809$	14.0778	−	43.3272i	0.494951	−	1.52330i	0.817034	−	0.576590i	$-0.195617\pi$
$810$	−26.1635	−	18.2949i	−0.919292	−	0.642817i
$811$	−30.0259	+	41.3272i	−1.05435	+	1.45119i	−0.169380	+	0.985551i	$0.554177\pi$
$811$	−30.0259	+	41.3272i	−1.05435	+	1.45119i	−0.884973	+	0.465642i	$0.845823\pi$
$812$	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
$816$	−5.01906	−	11.9637i	−0.175702	−	0.418814i
$817$	−2.85967	−	2.07767i	−0.100047	−	0.0726886i
$818$	−3.78581	−	5.21071i	−0.132368	−	0.182188i
$819$	2.59877	−	17.4270i	0.0908084	−	0.608949i
$820$	2.40999	+	0.783055i	0.0841607	+	0.0273455i
$821$	26.9979	−	19.6151i	0.942234	−	0.684573i	−0.00672355	−	0.999977i	$-0.502140\pi$
$821$	26.9979	−	19.6151i	0.942234	−	0.684573i	0.948957	+	0.315404i	$0.102140\pi$
$822$	4.41437	−	7.27729i	0.153969	−	0.253825i
$823$	−0.0163564	−	0.0503397i	−0.000570147	−	0.00175473i	0.950771	−	0.309894i	$-0.100294\pi$
$823$	−0.0163564	−	0.0503397i	−0.000570147	−	0.00175473i	−0.951341	+	0.308139i	$0.900294\pi$
$824$	1.08324			0.0377365
$825$	24.4372	−	36.0616i	0.850795	−	1.25550i
$826$	−1.43482			−0.0499237
$827$	14.2242	+	43.7775i	0.494623	+	1.52229i	0.817543	+	0.575867i	$0.195336\pi$
$827$	14.2242	+	43.7775i	0.494623	+	1.52229i	−0.322920	+	0.946426i	$0.604664\pi$
$828$	−4.52481	+	9.08267i	−0.157248	+	0.315645i
$829$	40.0843	−	29.1230i	1.39219	−	1.01148i	0.396564	−	0.918007i	$-0.370203\pi$
$829$	40.0843	−	29.1230i	1.39219	−	1.01148i	0.995622	−	0.0934747i	$-0.0297974\pi$
$830$	−33.9579	−	11.0336i	−1.17870	−	0.382982i
$831$	31.0370	+	7.30300i	1.07666	+	0.253338i
$832$	−3.45220	−	4.75155i	−0.119684	−	0.164730i
$833$	6.05992	+	4.40279i	0.209964	+	0.152548i
$834$	−23.2891	+	9.77033i	−0.806436	+	0.338319i
$835$		−	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	0.0790198	+	0.996873i	$0.474821\pi$
$839$	−25.8801	+	35.6209i	−0.893481	+	1.22977i	−0.972501	+	0.232898i	$0.925179\pi$
$840$	4.65387	−	4.01133i	0.160574	−	0.138404i
$841$	0.659136	−	2.02861i	0.0227288	−	0.0699522i
$842$	−5.90877	+	18.1853i	−0.203630	+	0.626708i
$843$	−28.8650	+	24.8797i	−0.994163	+	0.856903i
$844$	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
$849$	6.53929	−	2.74339i	0.224428	−	0.0941528i
$850$	45.9530	+	33.3868i	1.57618	+	1.14516i
$851$	20.6998	+	28.4909i	0.709582	+	0.976655i
$852$	−6.14612	−	1.44618i	−0.210563	−	0.0495453i
$853$	42.8619	+	13.9267i	1.46756	+	0.476841i	0.930371	−	0.366619i	$-0.119485\pi$
$853$	42.8619	+	13.9267i	1.46756	+	0.476841i	0.537193	+	0.843459i	$0.319485\pi$
$854$	1.03022	−	0.748501i	0.0352535	−	0.0256132i
$855$	46.6114	+	23.2209i	1.59408	+	0.794139i
$856$	2.54838	+	7.84311i	0.0871019	+	0.268072i
$857$	−7.94756			−0.271484			−0.135742	−	0.990744i	$-0.543342\pi$
$857$	−7.94756			−0.271484			−0.135742	+	0.990744i	$0.543342\pi$
$858$	−26.6316	+	20.7145i	−0.909188	+	0.707182i
$859$	−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
$861$	0.641711	−	1.05789i	0.0218694	−	0.0360528i
$862$	3.72528	−	2.70657i	0.126884	−	0.0921863i
$863$	−32.2583	−	10.4813i	−1.09808	−	0.356789i	−0.296719	−	0.954965i	$-0.595893\pi$
$863$	−32.2583	−	10.4813i	−1.09808	−	0.356789i	−0.801365	+	0.598176i	$0.795893\pi$
$864$	−0.337350	+	5.18519i	−0.0114769	+	0.176404i
$865$	−19.1345	−	26.3364i	−0.650593	−	0.895464i
$866$	10.5893	+	7.69358i	0.359839	+	0.261439i
$867$	−26.2041	−	62.4617i	−0.889939	−	2.12131i
$868$			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
$873$	1.05999	−	1.07935i	0.0358753	−	0.0365304i
$874$	5.11482	−	15.7418i	0.173011	−	0.532474i
$875$	−2.83151	+	8.71450i	−0.0957226	+	0.294604i
$876$	3.32820	+	3.86132i	0.112450	+	0.130462i
$877$	−7.17698	+	9.87826i	−0.242349	+	0.333565i	−0.912813	−	0.408377i	$-0.866095\pi$
$877$	−7.17698	+	9.87826i	−0.242349	+	0.333565i	0.670464	+	0.741942i	$0.266095\pi$
$878$	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	$-0.0110423\pi$
$882$	−1.38610	−	2.66059i	−0.0466724	−	0.0895867i
$883$	−35.2332	−	25.5984i	−1.18569	−	0.861454i	−0.192888	−	0.981221i	$-0.561785\pi$
$883$	−35.2332	−	25.5984i	−1.18569	−	0.861454i	−0.992802	+	0.119766i	$0.961785\pi$
$884$	−25.8586	−	35.5914i	−0.869720	−	1.19707i
$885$	−2.01916	+	8.58124i	−0.0678733	+	0.288455i
$886$	15.0175	+	4.87948i	0.504522	+	0.163929i
$887$	16.3420	−	11.8732i	0.548710	−	0.398661i	−0.278599	−	0.960407i	$-0.589870\pi$
$887$	16.3420	−	11.8732i	0.548710	−	0.398661i	0.827310	+	0.561746i	$0.189870\pi$
$888$	15.4185	+	9.35277i	0.517410	+	0.313858i
$889$	4.24479	+	13.0641i	0.142366	+	0.438157i
$890$	−17.6569			−0.591860
$891$	29.8341	+	0.961580i	0.999481	+	0.0322141i
$892$	−12.1667			−0.407373
$893$	−1.68946	−	5.19961i	−0.0565355	−	0.173998i
$894$	−10.3749	−	6.29339i	−0.346990	−	0.210482i
$895$	66.9041	−	48.6087i	2.23636	−	1.62481i
$896$	−0.951057	−	0.309017i	−0.0317726	−	0.0103235i
$897$	−7.88115	+	33.4941i	−0.263144	+	1.11834i
$898$	−13.7866	−	18.9757i	−0.460066	−	0.633226i
$899$	1.81090	+	1.31570i	0.0603969	+	0.0438809i
$900$	−10.5109	−	20.1755i	−0.350365	−	0.672517i
$901$			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
$906$	−21.1351	−	24.5206i	−0.702168	−	0.814642i
$907$	14.8750	−	45.7806i	0.493916	−	1.52012i	−0.324722	−	0.945809i	$-0.605271\pi$
$907$	14.8750	−	45.7806i	0.493916	−	1.52012i	0.818639	−	0.574309i	$-0.194729\pi$
$908$	−5.15726	+	15.8724i	−0.171150	+	0.526744i
$909$	−16.7151	+	17.0203i	−0.554404	+	0.564527i
$910$	12.2459	−	16.8550i	0.405947	−	0.558738i
$911$	26.5964	−	8.64168i	0.881177	−	0.286312i	0.166731	−	0.986002i	$-0.446679\pi$
$911$	26.5964	−	8.64168i	0.881177	−	0.286312i	0.714446	+	0.699691i	$0.246679\pi$
$912$	−0.703214	−	8.44650i	−0.0232858	−	0.279692i
$913$	32.2286	−	8.70633i	1.06661	−	0.288137i
$914$		−	10.4407i		−	0.345348i
$915$	−3.02678	−	7.21481i	−0.100062	−	0.238514i
$916$	−22.5481	−	16.3821i	−0.745010	−	0.541281i
$917$	−5.53463	−	7.61777i	−0.182770	−	0.251561i
$918$	−2.52691	+	38.8395i	−0.0834005	+	1.28190i
$919$	43.9152	+	14.2689i	1.44863	+	0.470688i	0.924576	−	0.380999i	$-0.124420\pi$
$919$	43.9152	+	14.2689i	1.44863	+	0.470688i	0.524052	+	0.851686i	$0.324420\pi$
$920$	−9.70696	+	7.05252i	−0.320029	+	0.232515i
$921$	6.00320	−	9.89654i	0.197812	−	0.326102i
$922$	4.17383	+	12.8457i	0.137458	+	0.423051i
$923$	−21.4101			−0.704723
$924$	−1.59533	+	5.51860i	−0.0524824	+	0.181549i
$925$	−78.9522			−2.59593
$926$	−0.0136067	−	0.0418771i	−0.000447143	−	0.00137617i
$927$	−2.90875	−	1.44909i	−0.0955360	−	0.0475943i
$928$	−4.51407	+	3.27966i	−0.148182	+	0.107660i
$929$	−49.9342	−	16.2246i	−1.63829	−	0.532312i	−0.662134	−	0.749386i	$-0.730349\pi$
$929$	−49.9342	−	16.2246i	−1.63829	−	0.532312i	−0.976155	+	0.217073i	$0.930349\pi$
$930$	2.39927	+	0.564547i	0.0786752	+	0.0185122i
$931$	2.87631	+	3.95890i	0.0942671	+	0.129748i
$932$	6.59161	+	4.78908i	0.215915	+	0.156872i
$933$	15.4044	−	6.46252i	0.504318	−	0.211573i
$934$		−	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	−0.545994	−	0.837789i	$-0.683848\pi$
$937$	−15.1605	+	4.92596i	−0.495273	+	0.160924i	0.0507212	+	0.998713i	$0.483848\pi$
$938$	−5.52706	+	7.60735i	−0.180465	+	0.248389i
$939$	−32.6585	+	28.1495i	−1.06577	+	0.918624i
$940$	−1.22469	+	3.76919i	−0.0399448	+	0.122938i
$941$	4.34604	−	13.3757i	0.141677	−	0.436036i	−0.854892	−	0.518806i	$-0.826377\pi$
$941$	4.34604	−	13.3757i	0.141677	−	0.436036i	0.996569	+	0.0827699i	$0.0263767\pi$
$942$	15.7591	−	13.5833i	0.513460	−	0.442569i
$943$	−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	$0.900526\pi$
$948$	−18.8746	+	7.91833i	−0.613018	+	0.257175i
$949$	13.9846	+	10.1604i	0.453959	+	0.329821i
$950$	21.8113	+	30.0207i	0.707653	+	0.974001i
$951$	17.6982	+	4.16437i	0.573903	+	0.135039i
$952$	−7.12386	−	2.31468i	−0.230886	−	0.0750193i
$953$	−41.9104	+	30.4497i	−1.35761	+	0.986363i	−0.359019	+	0.933330i	$0.616889\pi$
$953$	−41.9104	+	30.4497i	−1.35761	+	0.986363i	−0.998593	+	0.0530323i	$0.983111\pi$
$954$	0.470567	−	0.944570i	0.0152352	−	0.0305816i
$955$	−16.5294	−	50.8721i	−0.534877	−	1.64618i
$956$	−12.8938			−0.417015
$957$	19.6792	+	25.3006i	0.636138	+	0.817851i
$958$	−18.9062			−0.610831
$959$	−1.51855	−	4.67360i	−0.0490364	−	0.150919i
$960$	−3.18653	+	5.25313i	−0.102845	+	0.169544i
$961$	24.9493	−	18.1267i	0.804817	−	0.584734i
$962$	58.1569	+	18.8963i	1.87505	+	0.609241i
$963$	3.64899	−	24.4696i	0.117587	−	0.788523i
$964$	−8.02166	−	11.0409i	−0.258360	−	0.355602i
$965$	43.0599	+	31.2849i	1.38615	+	1.00710i
$966$	2.26644	+	5.40242i	0.0729216	+	0.173820i
$967$		−	3.16771i		−	0.101867i	−0.998702	−	0.0509333i	$-0.983780\pi$
$967$		−	3.16771i		−	0.101867i	0.998702	−	0.0509333i	$-0.0162196\pi$
$968$	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	$-0.708291\pi$
$971$	10.4087	−	14.3263i	0.334031	−	0.459754i	0.942686	+	0.333681i	$0.108291\pi$
$972$	7.84226	−	13.4722i	0.251541	−	0.432120i
$973$	−4.50587	+	13.8676i	−0.144451	+	0.444576i
$974$	6.40314	−	19.7068i	0.205170	−	0.631448i
$975$	−50.3639	−	58.4313i	−1.61294	−	1.87130i
$976$	−0.748501	+	1.03022i	−0.0239589	+	0.0329766i
$977$	50.4273	−	16.3848i	1.61331	−	0.524197i	0.642963	−	0.765898i	$-0.277705\pi$
$977$	50.4273	−	16.3848i	1.61331	−	0.524197i	0.970351	+	0.241700i	$0.0777050\pi$
$978$	34.6323	−	2.88332i	1.10742	−	0.0921983i
$979$	13.8270	−	9.01965i	0.441914	−	0.288269i
$980$		−	3.54727i		−	0.113313i
$981$	33.6872	−	17.5502i	1.07555	−	0.560334i
$982$	−11.8550	−	8.61314i	−0.378307	−	0.274856i
$983$	18.0525	+	24.8471i	0.575785	+	0.792500i	0.993225	−	0.116204i	$-0.0370727\pi$
$983$	18.0525	+	24.8471i	0.575785	+	0.792500i	−0.417440	+	0.908704i	$0.637073\pi$
$984$	−0.283397	+	1.20441i	−0.00903438	+	0.0383952i
$985$	−68.4412	−	22.2379i	−2.18072	−	0.708558i
$986$	−33.8125	+	24.5662i	−1.07681	+	0.782348i
$987$	1.65452	+	1.00363i	0.0526640	+	0.0319457i
$988$	−8.88130	−	27.3338i	−0.282552	−	0.869605i
$989$	−2.44328			−0.0776919
$990$	30.7601	+	17.3073i	0.977621	+	0.550062i
$991$	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
$993$	37.2444	+	22.5923i	1.18192	+	0.716945i
$994$	−2.94917	+	2.14270i	−0.0935419	+	0.0679622i
$995$	−1.33234	−	0.432903i	−0.0422379	−	0.0137239i
$996$	3.99320	−	16.9707i	0.126529	−	0.537737i
$997$	12.5544	+	17.2796i	0.397601	+	0.547251i	0.960140	−	0.279520i	$-0.0901752\pi$
$997$	12.5544	+	17.2796i	0.397601	+	0.547251i	−0.562539	+	0.826771i	$0.690175\pi$
$998$	12.3645	+	8.98335i	0.391392	+	0.284363i
$999$	−28.8907	−	45.7401i	−0.914060	−	1.44715i

Twists

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

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
462.2.w.a.281.11	✓	48	1.1	even	1	trivial
462.2.w.a.365.11	yes	48	33.2	even	10	inner
462.2.w.b.281.10	yes	48	3.2	odd	2
462.2.w.b.365.10	yes	48	11.2	odd	10

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(0.309017 + 0.951057i) q^{2} +(1.48089 + 0.898304i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(3.37365 + 1.09617i) q^{5} +(-0.396716 + 1.68601i) q^{6} +(0.587785 + 0.809017i) q^{7} +(-0.809017 - 0.587785i) q^{8} +(1.38610 + 2.66059i) q^{9} +O(q^{10})\)	\(q+(0.309017 + 0.951057i) q^{2} +(1.48089 + 0.898304i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(3.37365 + 1.09617i) q^{5} +(-0.396716 + 1.68601i) q^{6} +(0.587785 + 0.809017i) q^{7} +(-0.809017 - 0.587785i) q^{8} +(1.38610 + 2.66059i) 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} +(4.01133 + 4.65387i) q^{15} +(0.309017 - 0.951057i) q^{16} +(2.31468 - 7.12386i) q^{17} +(-2.10204 + 2.14043i) 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} +(-0.670059 - 1.59719i) q^{24} +(6.13486 + 4.45724i) q^{25} +(-3.45220 - 4.75155i) q^{26} +(-0.337350 + 5.18519i) q^{27} +(-0.951057 - 0.309017i) q^{28} +(-4.51407 + 3.27966i) q^{29} +(-3.18653 + 5.25313i) q^{30} +(-0.123968 - 0.381533i) q^{31} +1.00000 q^{32} +(-0.188095 - 5.74148i) q^{33} +7.49047 q^{34} +(1.09617 + 3.37365i) q^{35} +(-2.68523 - 1.33773i) q^{36} +(-8.42315 + 6.11978i) q^{37} +(4.65396 + 1.51216i) q^{38} +(-9.90232 - 2.33001i) q^{39} +(-2.08503 - 2.86980i) q^{40} +(-0.577928 - 0.419889i) q^{41} +(-1.59719 + 0.670059i) 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} +(1.31196 - 1.13082i) q^{48} +(-0.309017 + 0.951057i) q^{49} +(-2.34331 + 7.21196i) q^{50} +(9.82720 - 8.47040i) 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} +(7.81580 - 3.27891i) q^{57} +(-4.51407 - 3.27966i) q^{58} +(0.843365 + 1.16079i) q^{59} +(-5.98071 - 1.40726i) q^{60} +(-1.21110 - 0.393510i) q^{61} +(0.324552 - 0.235801i) q^{62} +(-1.33773 + 2.68523i) q^{63} +(0.309017 + 0.951057i) q^{64} -20.8340 q^{65} +(5.40235 - 1.95310i) q^{66} +9.40320 q^{67} +(2.31468 + 7.12386i) q^{68} +(3.03847 - 5.00905i) q^{69} +(-2.86980 + 2.08503i) q^{70} +(3.46695 + 1.12648i) q^{71} +(0.442477 - 2.96719i) q^{72} +(-1.72995 - 2.38107i) q^{73} +(-8.42315 - 6.11978i) q^{74} +(5.08113 + 12.1117i) 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} +(-5.15746 + 7.37568i) q^{81} +(0.220749 - 0.679395i) q^{82} +(-3.11045 + 9.57298i) q^{83} +(-1.13082 - 1.31196i) 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} +(-9.43782 + 4.91686i) q^{90} +(-4.75155 - 3.45220i) q^{91} +(1.98816 + 2.73646i) q^{92} +(0.159150 - 0.676372i) q^{93} +(1.06256 + 0.345247i) q^{94} +(14.0433 - 10.2030i) q^{95} +(1.48089 + 0.898304i) q^{96} +(-0.155827 - 0.479587i) q^{97} -1.00000 q^{98} +(4.87905 - 8.67150i) 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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