LMFDB - Embedded newform 273.2.bz.b.73.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [273,2,Mod(31,273)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(273, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([0, 2, 9]))

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

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

chi := DirichletCharacter("273.31");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 273 = 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	273.bz (of order $12$, 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:	$2.17991597518$
Analytic rank:	$0$
Dimension:	$36$
Relative dimension:	$9$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			73.6
Character	$\chi$	$=$	273.73
Dual form			273.2.bz.b.187.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.217671 - 0.812358i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(1.11951 + 0.646347i) q^{4} +(1.60194 + 0.429239i) q^{5} +(-0.594687 + 0.594687i) q^{6} +(0.0720542 + 2.64477i) q^{7} +(1.95812 - 1.95812i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})$	\(q+(0.217671 - 0.812358i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(1.11951 + 0.646347i) q^{4} +(1.60194 + 0.429239i) q^{5} +(-0.594687 + 0.594687i) q^{6} +(0.0720542 + 2.64477i) q^{7} +(1.95812 - 1.95812i) q^{8} +(0.500000 + 0.866025i) q^{9} +(0.697391 - 1.20792i) q^{10} +(1.04081 + 3.88434i) q^{11} +(-0.646347 - 1.11951i) q^{12} +(-3.57241 - 0.487743i) q^{13} +(2.16418 + 0.517155i) q^{14} +(-1.17270 - 1.17270i) q^{15} +(0.128225 + 0.222091i) q^{16} +(3.34125 - 5.78722i) q^{17} +(0.812358 - 0.217671i) q^{18} +(0.410974 + 0.110120i) q^{19} +(1.51595 + 1.51595i) q^{20} +(1.25998 - 2.32647i) q^{21} +3.38203 q^{22} +(4.27502 - 2.46818i) q^{23} +(-2.67485 + 0.716723i) q^{24} +(-1.94816 - 1.12477i) q^{25} +(-1.17383 + 2.79591i) q^{26} -1.00000i q^{27} +(-1.62877 + 3.00741i) q^{28} -7.18647 q^{29} +(-1.20792 + 0.697391i) q^{30} +(-1.69361 - 6.32066i) q^{31} +(5.55802 - 1.48927i) q^{32} +(1.04081 - 3.88434i) q^{33} +(-3.97400 - 3.97400i) q^{34} +(-1.01981 + 4.26769i) q^{35} +1.29269i q^{36} +(-0.821337 - 0.220076i) q^{37} +(0.178914 - 0.309888i) q^{38} +(2.84993 + 2.20860i) q^{39} +(3.97730 - 2.29630i) q^{40} +(-1.80954 + 1.80954i) q^{41} +(-1.61566 - 1.52996i) q^{42} +9.35042i q^{43} +(-1.34544 + 5.02127i) q^{44} +(0.429239 + 1.60194i) q^{45} +(-1.07450 - 4.01010i) q^{46} +(0.378636 - 1.41309i) q^{47} -0.256449i q^{48} +(-6.98962 + 0.381134i) q^{49} +(-1.33777 + 1.33777i) q^{50} +(-5.78722 + 3.34125i) q^{51} +(-3.68408 - 2.85505i) q^{52} +(1.75816 - 3.04522i) q^{53} +(-0.812358 - 0.217671i) q^{54} +6.66924i q^{55} +(5.31988 + 5.03769i) q^{56} +(-0.300854 - 0.300854i) q^{57} +(-1.56428 + 5.83798i) q^{58} +(-0.234696 + 0.0628867i) q^{59} +(-0.554875 - 2.07082i) q^{60} +(-11.0893 + 6.40242i) q^{61} -5.50328 q^{62} +(-2.25441 + 1.38479i) q^{63} -4.32637i q^{64} +(-5.51343 - 2.31475i) q^{65} +(-2.92892 - 1.69101i) q^{66} +(8.23132 - 2.20557i) q^{67} +(7.48111 - 4.31922i) q^{68} -4.93637 q^{69} +(3.24491 + 1.75740i) q^{70} +(-1.91161 - 1.91161i) q^{71} +(2.67485 + 0.716723i) q^{72} +(-7.13315 + 1.91132i) q^{73} +(-0.357562 + 0.619315i) q^{74} +(1.12477 + 1.94816i) q^{75} +(0.388912 + 0.388912i) q^{76} +(-10.1982 + 3.03258i) q^{77} +(2.41452 - 1.83441i) q^{78} +(-0.0938774 - 0.162600i) q^{79} +(0.110078 + 0.410816i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(1.07611 + 1.86387i) q^{82} +(4.12856 - 4.12856i) q^{83} +(2.91427 - 1.79011i) q^{84} +(7.83659 - 7.83659i) q^{85} +(7.59589 + 2.03531i) q^{86} +(6.22366 + 3.59323i) q^{87} +(9.64404 + 5.56799i) q^{88} +(-2.02783 + 7.56797i) q^{89} +1.39478 q^{90} +(1.03256 - 9.48334i) q^{91} +6.38122 q^{92} +(-1.69361 + 6.32066i) q^{93} +(-1.06551 - 0.615175i) q^{94} +(0.611089 + 0.352812i) q^{95} +(-5.55802 - 1.48927i) q^{96} +(0.202815 - 0.202815i) q^{97} +(-1.21182 + 5.76103i) q^{98} +(-2.84354 + 2.84354i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 36 q + 4 q^{7} + 18 q^{9}+O(q^{10}) $ 36 * q + 4 * q^7 + 18 * q^9	$ 36 q + 4 q^{7} + 18 q^{9} + 4 q^{11} + 16 q^{12} - 36 q^{14} + 12 q^{16} - 4 q^{17} - 12 q^{19} - 44 q^{20} + 6 q^{21} - 8 q^{22} + 12 q^{23} - 18 q^{24} + 48 q^{25} - 28 q^{26} + 12 q^{28} - 16 q^{29} - 56 q^{32} + 4 q^{33} + 48 q^{34} + 8 q^{35} + 22 q^{37} - 16 q^{38} - 8 q^{39} + 60 q^{40} + 32 q^{41} + 12 q^{42} + 4 q^{44} - 44 q^{46} - 14 q^{47} - 6 q^{49} - 68 q^{50} + 12 q^{51} - 82 q^{52} - 8 q^{53} + 8 q^{56} - 6 q^{57} - 84 q^{58} + 70 q^{59} + 2 q^{60} + 36 q^{61} - 48 q^{62} + 2 q^{63} - 8 q^{65} + 38 q^{67} + 36 q^{68} + 8 q^{69} - 40 q^{70} - 36 q^{71} + 18 q^{72} - 46 q^{73} + 40 q^{74} - 10 q^{75} + 60 q^{76} - 60 q^{77} + 32 q^{78} - 38 q^{80} - 18 q^{81} - 24 q^{83} + 38 q^{84} + 44 q^{85} - 24 q^{86} + 36 q^{87} - 168 q^{88} + 38 q^{89} - 14 q^{91} - 40 q^{92} + 56 q^{96} - 36 q^{97} + 58 q^{98} + 8 q^{99}+O(q^{100}) $ 36 * q + 4 * q^7 + 18 * q^9 + 4 * q^11 + 16 * q^12 - 36 * q^14 + 12 * q^16 - 4 * q^17 - 12 * q^19 - 44 * q^20 + 6 * q^21 - 8 * q^22 + 12 * q^23 - 18 * q^24 + 48 * q^25 - 28 * q^26 + 12 * q^28 - 16 * q^29 - 56 * q^32 + 4 * q^33 + 48 * q^34 + 8 * q^35 + 22 * q^37 - 16 * q^38 - 8 * q^39 + 60 * q^40 + 32 * q^41 + 12 * q^42 + 4 * q^44 - 44 * q^46 - 14 * q^47 - 6 * q^49 - 68 * q^50 + 12 * q^51 - 82 * q^52 - 8 * q^53 + 8 * q^56 - 6 * q^57 - 84 * q^58 + 70 * q^59 + 2 * q^60 + 36 * q^61 - 48 * q^62 + 2 * q^63 - 8 * q^65 + 38 * q^67 + 36 * q^68 + 8 * q^69 - 40 * q^70 - 36 * q^71 + 18 * q^72 - 46 * q^73 + 40 * q^74 - 10 * q^75 + 60 * q^76 - 60 * q^77 + 32 * q^78 - 38 * q^80 - 18 * q^81 - 24 * q^83 + 38 * q^84 + 44 * q^85 - 24 * q^86 + 36 * q^87 - 168 * q^88 + 38 * q^89 - 14 * q^91 - 40 * q^92 + 56 * q^96 - 36 * q^97 + 58 * q^98 + 8 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/273\mathbb{Z}\right)^\times$.

$n$	$92$	$106$	$157$
$\chi(n)$	$1$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{1}{6}\right)$

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 $

$2$	0.217671	−	0.812358i	0.153916	−	0.574424i	−0.845279	−	0.534325i	$-0.820566\pi$
$2$	0.217671	−	0.812358i	0.153916	−	0.574424i	0.999196	−	0.0400990i	$-0.0127673\pi$
$3$	−0.866025	−	0.500000i	−0.500000	−	0.288675i
$3$	−0.866025	−	0.500000i	−0.500000	−	0.288675i
$4$	1.11951	+	0.646347i	0.559753	+	0.323174i
$5$	1.60194	+	0.429239i	0.716410	+	0.191961i	0.598569	−	0.801071i	$-0.295736\pi$
$5$	1.60194	+	0.429239i	0.716410	+	0.191961i	0.117841	+	0.993033i	$0.462403\pi$
$6$	−0.594687	+	0.594687i	−0.242780	+	0.242780i
$7$	0.0720542	+	2.64477i	0.0272339	+	0.999629i
$7$	0.0720542	+	2.64477i	0.0272339	+	0.999629i
$8$	1.95812	−	1.95812i	0.692301	−	0.692301i
$9$	0.500000	+	0.866025i	0.166667	+	0.288675i
$10$	0.697391	−	1.20792i	0.220534	−	0.381977i
$11$	1.04081	+	3.88434i	0.313815	+	1.17117i	0.925088	+	0.379753i	$0.123991\pi$
$11$	1.04081	+	3.88434i	0.313815	+	1.17117i	−0.611273	+	0.791420i	$0.709342\pi$
$12$	−0.646347	−	1.11951i	−0.186584	−	0.323174i
$13$	−3.57241	−	0.487743i	−0.990808	−	0.135276i
$13$	−3.57241	−	0.487743i	−0.990808	−	0.135276i
$14$	2.16418	+	0.517155i	0.578402	+	0.138215i
$15$	−1.17270	−	1.17270i	−0.302790	−	0.302790i
$16$	0.128225	+	0.222091i	0.0320561	+	0.0555229i
$17$	3.34125	−	5.78722i	0.810373	−	1.40361i	−0.102230	−	0.994761i	$-0.532598\pi$
$17$	3.34125	−	5.78722i	0.810373	−	1.40361i	0.912603	−	0.408847i	$-0.134069\pi$
$18$	0.812358	−	0.217671i	0.191475	−	0.0513054i
$19$	0.410974	+	0.110120i	0.0942840	+	0.0252633i	0.305653	−	0.952143i	$-0.401125\pi$
$19$	0.410974	+	0.110120i	0.0942840	+	0.0252633i	−0.211369	+	0.977406i	$0.567792\pi$
$20$	1.51595	+	1.51595i	0.338976	+	0.338976i
$21$	1.25998	−	2.32647i	0.274951	−	0.507676i
$22$	3.38203			0.721051
$23$	4.27502	−	2.46818i	0.891403	−	0.514652i	0.0170020	−	0.999855i	$-0.494588\pi$
$23$	4.27502	−	2.46818i	0.891403	−	0.514652i	0.874401	+	0.485204i	$0.161255\pi$
$24$	−2.67485	+	0.716723i	−0.546001	+	0.146300i
$25$	−1.94816	−	1.12477i	−0.389632	−	0.224954i
$26$	−1.17383	+	2.79591i	−0.230207	+	0.548322i
$27$		−	1.00000i		−	0.192450i
$28$	−1.62877	+	3.00741i	−0.307810	+	0.568347i
$29$	−7.18647			−1.33449			−0.667247	−	0.744837i	$-0.732527\pi$
$29$	−7.18647			−1.33449			−0.667247	+	0.744837i	$0.732527\pi$
$30$	−1.20792	+	0.697391i	−0.220534	+	0.127326i
$31$	−1.69361	−	6.32066i	−0.304182	−	1.13522i	−0.933647	−	0.358194i	$-0.883393\pi$
$31$	−1.69361	−	6.32066i	−0.304182	−	1.13522i	0.629465	−	0.777029i	$-0.283274\pi$
$32$	5.55802	−	1.48927i	0.982528	−	0.263268i
$33$	1.04081	−	3.88434i	0.181181	−	0.676177i
$34$	−3.97400	−	3.97400i	−0.681536	−	0.681536i
$35$	−1.01981	+	4.26769i	−0.172380	+	0.721372i
$36$			1.29269i			0.215449i
$37$	−0.821337	−	0.220076i	−0.135027	−	0.0361804i	0.190673	−	0.981654i	$-0.438933\pi$
$37$	−0.821337	−	0.220076i	−0.135027	−	0.0361804i	−0.325700	+	0.945473i	$0.605600\pi$
$38$	0.178914	−	0.309888i	0.0290237	−	0.0502705i
$39$	2.84993	+	2.20860i	0.456353	+	0.353659i
$40$	3.97730	−	2.29630i	0.628866	−	0.363076i
$41$	−1.80954	+	1.80954i	−0.282602	+	0.282602i	−0.834146	−	0.551544i	$-0.814039\pi$
$41$	−1.80954	+	1.80954i	−0.282602	+	0.282602i	0.551544	+	0.834146i	$0.314039\pi$
$42$	−1.61566	−	1.52996i	−0.249302	−	0.236078i
$43$			9.35042i			1.42593i	0.701202	+	0.712963i	$0.252647\pi$
$43$			9.35042i			1.42593i	−0.701202	+	0.712963i	$0.747353\pi$
$44$	−1.34544	+	5.02127i	−0.202833	+	0.756985i
$45$	0.429239	+	1.60194i	0.0639871	+	0.238803i
$46$	−1.07450	−	4.01010i	−0.158427	−	0.591256i
$47$	0.378636	−	1.41309i	0.0552297	−	0.206120i	−0.932797	−	0.360402i	$-0.882640\pi$
$47$	0.378636	−	1.41309i	0.0552297	−	0.206120i	0.988027	+	0.154282i	$0.0493063\pi$
$48$		−	0.256449i		−	0.0370152i
$49$	−6.98962	+	0.381134i	−0.998517	+	0.0544476i
$50$	−1.33777	+	1.33777i	−0.189189	+	0.189189i
$51$	−5.78722	+	3.34125i	−0.810373	+	0.467869i
$52$	−3.68408	−	2.85505i	−0.510890	−	0.395924i
$53$	1.75816	−	3.04522i	0.241502	−	0.418293i	−0.719640	−	0.694347i	$-0.755693\pi$
$53$	1.75816	−	3.04522i	0.241502	−	0.418293i	0.961142	+	0.276053i	$0.0890267\pi$
$54$	−0.812358	−	0.217671i	−0.110548	−	0.0296212i
$55$			6.66924i			0.899280i
$56$	5.31988	+	5.03769i	0.710898	+	0.673190i
$57$	−0.300854	−	0.300854i	−0.0398491	−	0.0398491i
$58$	−1.56428	+	5.83798i	−0.205400	+	0.766565i
$59$	−0.234696	+	0.0628867i	−0.0305549	+	0.00818715i	−0.274064	−	0.961711i	$-0.588368\pi$
$59$	−0.234696	+	0.0628867i	−0.0305549	+	0.00818715i	0.243509	+	0.969899i	$0.421701\pi$
$60$	−0.554875	−	2.07082i	−0.0716340	−	0.267342i
$61$	−11.0893	+	6.40242i	−1.41984	+	0.819746i	−0.996285	−	0.0861226i	$-0.972552\pi$
$61$	−11.0893	+	6.40242i	−1.41984	+	0.819746i	−0.423558	+	0.905869i	$0.639219\pi$
$62$	−5.50328			−0.698918
$63$	−2.25441	+	1.38479i	−0.284029	+	0.174467i
$64$		−	4.32637i		−	0.540796i
$65$	−5.51343	−	2.31475i	−0.683857	−	0.287110i
$66$	−2.92892	−	1.69101i	−0.360525	−	0.208149i
$67$	8.23132	−	2.20557i	1.00562	−	0.269454i	0.281819	−	0.959468i	$-0.409062\pi$
$67$	8.23132	−	2.20557i	1.00562	−	0.269454i	0.723796	+	0.690014i	$0.242396\pi$
$68$	7.48111	−	4.31922i	0.907218	−	0.523783i
$69$	−4.93637			−0.594269
$70$	3.24491	+	1.75740i	0.387841	+	0.210050i
$71$	−1.91161	−	1.91161i	−0.226867	−	0.226867i	0.584516	−	0.811382i	$-0.301285\pi$
$71$	−1.91161	−	1.91161i	−0.226867	−	0.226867i	−0.811382	+	0.584516i	$0.801285\pi$
$72$	2.67485	+	0.716723i	0.315234	+	0.0844666i
$73$	−7.13315	+	1.91132i	−0.834872	+	0.223703i	−0.650838	−	0.759217i	$-0.725582\pi$
$73$	−7.13315	+	1.91132i	−0.834872	+	0.223703i	−0.184034	+	0.982920i	$0.558916\pi$
$74$	−0.357562	+	0.619315i	−0.0415657	+	0.0719939i
$75$	1.12477	+	1.94816i	0.129877	+	0.224954i
$76$	0.388912	+	0.388912i	0.0446113	+	0.0446113i
$77$	−10.1982	+	3.03258i	−1.16219	+	0.345594i
$78$	2.41452	−	1.83441i	0.273391	−	0.207706i
$79$	−0.0938774	−	0.162600i	−0.0105620	−	0.0182940i	0.860696	−	0.509119i	$-0.170029\pi$
$79$	−0.0938774	−	0.162600i	−0.0105620	−	0.0182940i	−0.871258	+	0.490825i	$0.836695\pi$
$80$	0.110078	+	0.410816i	0.0123071	+	0.0459307i
$81$	−0.500000	+	0.866025i	−0.0555556	+	0.0962250i
$82$	1.07611	+	1.86387i	0.118836	+	0.205831i
$83$	4.12856	−	4.12856i	0.453168	−	0.453168i	−0.443237	−	0.896405i	$-0.646170\pi$
$83$	4.12856	−	4.12856i	0.453168	−	0.453168i	0.896405	+	0.443237i	$0.146170\pi$
$84$	2.91427	−	1.79011i	0.317972	−	0.195316i
$85$	7.83659	−	7.83659i	0.849998	−	0.849998i
$86$	7.59589	+	2.03531i	0.819085	+	0.219473i
$87$	6.22366	+	3.59323i	0.667247	+	0.385235i
$88$	9.64404	+	5.56799i	1.02806	+	0.593550i
$89$	−2.02783	+	7.56797i	−0.214950	+	0.802203i	0.771234	+	0.636551i	$0.219640\pi$
$89$	−2.02783	+	7.56797i	−0.214950	+	0.802203i	−0.986184	+	0.165652i	$0.947027\pi$
$90$	1.39478			0.147023
$91$	1.03256	−	9.48334i	0.108242	−	0.994125i
$92$	6.38122			0.665288
$93$	−1.69361	+	6.32066i	−0.175620	+	0.655422i
$94$	−1.06551	−	0.615175i	−0.109899	−	0.0634505i
$95$	0.611089	+	0.352812i	0.0626964	+	0.0361978i
$96$	−5.55802	−	1.48927i	−0.567263	−	0.151998i
$97$	0.202815	−	0.202815i	0.0205928	−	0.0205928i	−0.696735	−	0.717328i	$-0.745365\pi$
$97$	0.202815	−	0.202815i	0.0205928	−	0.0205928i	0.717328	+	0.696735i	$0.245365\pi$
$98$	−1.21182	+	5.76103i	−0.122412	+	0.581952i
$99$	−2.84354	+	2.84354i	−0.285786	+	0.285786i
$100$	−1.45398	−	2.51837i	−0.145398	−	0.251837i
$101$	7.49887	−	12.9884i	0.746165	−	1.29240i	−0.203483	−	0.979078i	$-0.565226\pi$
$101$	7.49887	−	12.9884i	0.746165	−	1.29240i	0.949648	−	0.313317i	$-0.101440\pi$
$102$	1.45459	+	5.42859i	0.144025	+	0.537510i
$103$	−9.62441	−	16.6700i	−0.948322	−	1.64254i	−0.748960	−	0.662616i	$-0.769446\pi$
$103$	−9.62441	−	16.6700i	−0.948322	−	1.64254i	−0.199362	−	0.979926i	$-0.563887\pi$
$104$	−7.95028	+	6.04015i	−0.779589	+	0.592286i
$105$	3.01703	−	3.18603i	0.294432	−	0.310924i
$106$	−2.09111	−	2.09111i	−0.203106	−	0.203106i
$107$	1.04485	+	1.80973i	0.101009	+	0.174953i	0.912101	−	0.409966i	$-0.134460\pi$
$107$	1.04485	+	1.80973i	0.101009	+	0.174953i	−0.811091	+	0.584919i	$0.801126\pi$
$108$	0.646347	−	1.11951i	0.0621948	−	0.107725i
$109$	16.8351	−	4.51094i	1.61251	−	0.432070i	0.663718	−	0.747983i	$-0.268977\pi$
$109$	16.8351	−	4.51094i	1.61251	−	0.432070i	0.948788	+	0.315913i	$0.102311\pi$
$110$	5.41781	+	1.45170i	0.516568	+	0.138414i
$111$	0.601260	+	0.601260i	0.0570691	+	0.0570691i
$112$	−0.578142	+	0.355127i	−0.0546292	+	0.0335563i
$113$	−19.8765			−1.86982			−0.934910	−	0.354885i	$-0.884520\pi$
$113$	−19.8765			−1.86982			−0.934910	+	0.354885i	$0.884520\pi$
$114$	−0.309888	+	0.178914i	−0.0290237	+	0.0167568i
$115$	7.90777	−	2.11888i	0.737403	−	0.197587i
$116$	−8.04530	−	4.64495i	−0.746987	−	0.431273i
$117$	−1.36381	−	3.33767i	−0.126084	−	0.308568i
$118$			0.204346i			0.0188116i
$119$	15.5466	+	8.41986i	1.42516	+	0.771847i
$120$	−4.59259			−0.419244
$121$	−4.47855	+	2.58569i	−0.407141	+	0.235063i
$122$	2.78724	+	10.4021i	0.252345	+	0.941763i
$123$	2.47187	−	0.662337i	0.222881	−	0.0597209i
$124$	2.18933	−	8.17068i	0.196607	−	0.733749i
$125$	−8.50155	−	8.50155i	−0.760402	−	0.760402i
$126$	0.634222	+	2.13281i	0.0565010	+	0.190006i
$127$			3.01304i			0.267364i	0.991024	+	0.133682i	$0.0426801\pi$
$127$			3.01304i			0.267364i	−0.991024	+	0.133682i	$0.957320\pi$
$128$	7.60148	+	2.03681i	0.671882	+	0.180030i
$129$	4.67521	−	8.09770i	0.411629	−	0.712963i
$130$	−3.08052	+	3.97502i	−0.270179	+	0.348633i
$131$	0.0163004	−	0.00941104i	0.00142417	−	0.000822247i	−0.499288	−	0.866436i	$-0.666405\pi$
$131$	0.0163004	−	0.00941104i	0.00142417	−	0.000822247i	0.500712	+	0.865614i	$0.333072\pi$
$132$	3.67582	−	3.67582i	0.319939	−	0.319939i
$133$	−0.261630	+	1.09487i	−0.0226862	+	0.0949370i
$134$		−	7.16686i		−	0.619122i
$135$	0.429239	−	1.60194i	0.0369430	−	0.137873i
$136$	−4.78951	−	17.8747i	−0.410697	−	1.53274i
$137$	−2.35386	−	8.78473i	−0.201104	−	0.750530i	−0.990602	−	0.136777i	$-0.956326\pi$
$137$	−2.35386	−	8.78473i	−0.201104	−	0.750530i	0.789498	−	0.613753i	$-0.210341\pi$
$138$	−1.07450	+	4.01010i	−0.0914677	+	0.341362i
$139$			20.5221i			1.74066i	0.492466	+	0.870331i	$0.336095\pi$
$139$			20.5221i			1.74066i	−0.492466	+	0.870331i	$0.663905\pi$
$140$	−3.90010	+	4.11856i	−0.329618	+	0.348082i
$141$	−1.03445	+	1.03445i	−0.0871166	+	0.0871166i
$142$	−1.96901	+	1.13681i	−0.165236	+	0.0953991i
$143$	−1.82362	−	14.3841i	−0.152499	−	1.20286i
$144$	−0.128225	+	0.222091i	−0.0106854	+	0.0185076i
$145$	−11.5123	−	3.08471i	−0.956044	−	0.256171i
$146$			6.21071i			0.514002i
$147$	6.24375	+	3.16474i	0.514976	+	0.261023i
$148$	−0.777246	−	0.777246i	−0.0638892	−	0.0638892i
$149$	2.16549	−	8.08172i	0.177404	−	0.662080i	−0.818726	−	0.574185i	$-0.805319\pi$
$149$	2.16549	−	8.08172i	0.177404	−	0.662080i	0.996130	−	0.0878954i	$-0.0280141\pi$
$150$	1.82743	−	0.489658i	0.149209	−	0.0399804i
$151$	6.17660	+	23.0514i	0.502644	+	1.87589i	0.482121	+	0.876105i	$0.339867\pi$
$151$	6.17660	+	23.0514i	0.502644	+	1.87589i	0.0205232	+	0.999789i	$0.493467\pi$
$152$	1.02037	−	0.589109i	0.0827627	−	0.0477831i
$153$	6.68251			0.540249
$154$	0.243689	+	8.94468i	0.0196370	+	0.720783i
$155$		−	10.8523i		−	0.871676i
$156$	1.76299	+	4.31459i	0.141152	+	0.345443i
$157$	16.4603	+	9.50336i	1.31367	+	0.758450i	0.982703	−	0.185190i	$-0.0592902\pi$
$157$	16.4603	+	9.50336i	1.31367	+	0.758450i	0.330972	+	0.943641i	$0.392623\pi$
$158$	−0.152524	+	0.0408687i	−0.0121342	+	0.00325134i
$159$	−3.04522	+	1.75816i	−0.241502	+	0.139431i
$160$	9.54287			0.754430
$161$	6.83581	+	11.1286i	0.538737	+	0.877057i
$162$	0.594687	+	0.594687i	0.0467230	+	0.0467230i
$163$	−2.64410	−	0.708484i	−0.207102	−	0.0554927i	0.153777	−	0.988106i	$-0.450856\pi$
$163$	−2.64410	−	0.708484i	−0.207102	−	0.0554927i	−0.360878	+	0.932613i	$0.617523\pi$
$164$	−3.19538	+	0.856199i	−0.249517	+	0.0668579i
$165$	3.33462	−	5.77573i	0.259600	−	0.449640i
$166$	−2.45520	−	4.25253i	−0.190560	−	0.330060i
$167$	2.28761	+	2.28761i	0.177021	+	0.177021i	0.790056	−	0.613035i	$-0.210052\pi$
$167$	2.28761	+	2.28761i	0.177021	+	0.177021i	−0.613035	+	0.790056i	$0.710052\pi$
$168$	−2.08830	−	7.02271i	−0.161116	−	0.541814i
$169$	12.5242	+	3.48484i	0.963401	+	0.268064i
$170$	−4.66032	−	8.07191i	−0.357430	−	0.619087i
$171$	0.110120	+	0.410974i	0.00842110	+	0.0314280i
$172$	−6.04362	+	10.4679i	−0.460822	+	0.798167i
$173$	0.194375	+	0.336667i	0.0147780	+	0.0255963i	0.873320	−	0.487147i	$-0.161963\pi$
$173$	0.194375	+	0.336667i	0.0147780	+	0.0255963i	−0.858542	+	0.512744i	$0.828629\pi$
$174$	4.27370	−	4.27370i	0.323988	−	0.323988i
$175$	2.83438	−	5.23347i	0.214259	−	0.395613i
$176$	−0.729222	+	0.729222i	−0.0549672	+	0.0549672i
$177$	0.234696	+	0.0628867i	0.0176409	+	0.00472685i
$178$	5.70650	+	3.29465i	0.427720	+	0.246944i
$179$	−15.1737	−	8.76054i	−1.13414	−	0.654794i	−0.189164	−	0.981946i	$-0.560578\pi$
$179$	−15.1737	−	8.76054i	−1.13414	−	0.654794i	−0.944972	+	0.327152i	$0.893911\pi$
$180$	−0.554875	+	2.07082i	−0.0413579	+	0.154350i
$181$	7.41669			0.551278			0.275639	−	0.961261i	$-0.411111\pi$
$181$	7.41669			0.551278			0.275639	+	0.961261i	$0.411111\pi$
$182$	−7.47911	−	2.90305i	−0.554388	−	0.215189i
$183$	12.8048			0.946562
$184$	3.53801	−	13.2040i	0.260825	−	0.973413i
$185$	−1.22127	−	0.705099i	−0.0897894	−	0.0518399i
$186$	4.76598	+	2.75164i	0.349459	+	0.201760i
$187$	25.9571	+	6.95520i	1.89817	+	0.508614i
$188$	1.33723	−	1.33723i	0.0975276	−	0.0975276i
$189$	2.64477	−	0.0720542i	0.192379	−	0.00524117i
$190$	0.419626	−	0.419626i	0.0304428	−	0.0304428i
$191$	−8.63583	−	14.9577i	−0.624867	−	1.08230i	−0.988567	−	0.150785i	$-0.951820\pi$
$191$	−8.63583	−	14.9577i	−0.624867	−	1.08230i	0.363700	−	0.931516i	$-0.381513\pi$
$192$	−2.16319	+	3.74675i	−0.156114	+	0.270398i
$193$	−4.20617	−	15.6976i	−0.302766	−	1.12994i	−0.934851	−	0.355040i	$-0.884467\pi$
$193$	−4.20617	−	15.6976i	−0.302766	−	1.12994i	0.632085	−	0.774899i	$-0.282200\pi$
$194$	−0.120612	−	0.208905i	−0.00865941	−	0.0149985i
$195$	3.61739	+	4.76135i	0.259047	+	0.340967i
$196$	−8.07127	−	4.09104i	−0.576519	−	0.292217i
$197$	13.6067	+	13.6067i	0.969437	+	0.969437i	0.999547	−	0.0301100i	$-0.00958575\pi$
$197$	13.6067	+	13.6067i	0.969437	+	0.969437i	−0.0301100	+	0.999547i	$0.509586\pi$
$198$	1.69101	+	2.92892i	0.120175	+	0.208149i
$199$	−6.17376	+	10.6933i	−0.437646	+	0.758025i	−0.997507	−	0.0705611i	$-0.977521\pi$
$199$	−6.17376	+	10.6933i	−0.437646	+	0.758025i	0.559861	+	0.828586i	$0.310854\pi$
$200$	−6.01717	+	1.61230i	−0.425478	+	0.114006i
$201$	−8.23132	−	2.20557i	−0.580592	−	0.155569i
$202$	−8.91896	−	8.91896i	−0.627536	−	0.627536i
$203$	−0.517815	−	19.0066i	−0.0363435	−	1.33400i
$204$	−8.63844			−0.604812
$205$	−3.67550	+	2.12205i	−0.256708	+	0.148210i
$206$	−15.6369	+	4.18990i	−1.08948	+	0.291924i
$207$	4.27502	+	2.46818i	0.297134	+	0.171551i
$208$	−0.349747	−	0.855942i	−0.0242506	−	0.0593489i
$209$			1.71098i			0.118351i
$210$	−1.93147	−	3.14441i	−0.133284	−	0.216985i
$211$	−8.24683			−0.567735			−0.283868	−	0.958863i	$-0.591618\pi$
$211$	−8.24683			−0.567735			−0.283868	+	0.958863i	$0.591618\pi$
$212$	3.93654	−	2.27276i	0.270363	−	0.156094i
$213$	0.699699	+	2.61131i	0.0479426	+	0.178924i
$214$	1.69758	−	0.454865i	0.116044	−	0.0310939i
$215$	−4.01356	+	14.9788i	−0.273723	+	1.02155i
$216$	−1.95812	−	1.95812i	−0.133233	−	0.133233i
$217$	16.5946	−	4.93465i	1.12652	−	0.334986i
$218$		−	14.6580i		−	0.992764i
$219$	7.13315	+	1.91132i	0.482014	+	0.129155i
$220$	−4.31065	+	7.46626i	−0.290624	+	0.503375i
$221$	−14.7590	+	19.0447i	−0.992798	+	1.28108i
$222$	0.619315	−	0.357562i	0.0415657	−	0.0239980i
$223$	0.368263	−	0.368263i	0.0246607	−	0.0246607i	−0.694669	−	0.719330i	$-0.744449\pi$
$223$	0.368263	−	0.368263i	0.0246607	−	0.0246607i	0.719330	+	0.694669i	$0.244449\pi$
$224$	4.33925	+	14.5924i	0.289928	+	0.974994i
$225$		−	2.24954i		−	0.149969i
$226$	−4.32652	+	16.1468i	−0.287796	+	1.07407i
$227$	3.96582	+	14.8006i	0.263221	+	0.982354i	0.963330	+	0.268318i	$0.0864678\pi$
$227$	3.96582	+	14.8006i	0.263221	+	0.982354i	−0.700110	+	0.714035i	$0.746866\pi$
$228$	−0.142352	−	0.531264i	−0.00942748	−	0.0351838i
$229$	1.50553	−	5.61871i	0.0994882	−	0.371295i	−0.898173	−	0.439641i	$-0.855106\pi$
$229$	1.50553	−	5.61871i	0.0994882	−	0.371295i	0.997662	+	0.0683463i	$0.0217723\pi$
$230$		−	6.88515i		−	0.453994i
$231$	10.3482	+	2.47281i	0.680861	+	0.162699i
$232$	−14.0720	+	14.0720i	−0.923871	+	0.923871i
$233$	−6.63846	+	3.83272i	−0.434900	+	0.251090i	−0.701432	−	0.712736i	$-0.747456\pi$
$233$	−6.63846	+	3.83272i	−0.434900	+	0.251090i	0.266532	+	0.963826i	$0.414122\pi$
$234$	−3.00824	+	0.381386i	−0.196655	+	0.0249320i
$235$	1.21310	−	2.10116i	0.0791342	−	0.137064i
$236$	−0.303391	−	0.0812933i	−0.0197490	−	0.00529174i
$237$			0.187755i			0.0121960i
$238$	10.2240	−	10.7967i	0.662722	−	0.699844i
$239$	−0.656161	−	0.656161i	−0.0424435	−	0.0424435i	0.685567	−	0.728010i	$-0.259555\pi$
$239$	−0.656161	−	0.656161i	−0.0424435	−	0.0424435i	−0.728010	+	0.685567i	$0.759555\pi$
$240$	0.110078	−	0.410816i	0.00710550	−	0.0265181i
$241$	−0.482034	+	0.129161i	−0.0310505	+	0.00831997i	−0.274311	−	0.961641i	$-0.588450\pi$
$241$	−0.482034	+	0.129161i	−0.0310505	+	0.00831997i	0.243260	+	0.969961i	$0.421783\pi$
$242$	1.12566	+	4.20102i	0.0723601	+	0.270052i
$243$	0.866025	−	0.500000i	0.0555556	−	0.0320750i
$244$	−16.5528			−1.05968
$245$	−11.3606	−	2.38966i	−0.725799	−	0.152670i
$246$		−	2.15222i		−	0.137220i
$247$	−1.41446	−	0.593844i	−0.0899998	−	0.0377854i
$248$	−15.6929	−	9.06032i	−0.996502	−	0.575331i
$249$	−5.63972	+	1.51116i	−0.357402	+	0.0957657i
$250$	−8.75684	+	5.05576i	−0.553831	+	0.319754i
$251$	−21.7752			−1.37444			−0.687219	−	0.726450i	$-0.741169\pi$
$251$	−21.7752			−1.37444			−0.687219	+	0.726450i	$0.741169\pi$
$252$	−3.41888	+	0.0931441i	−0.215369	+	0.00586752i
$253$	14.0367	+	14.0367i	0.882482	+	0.882482i
$254$	2.44767	+	0.655851i	0.153580	+	0.0411517i
$255$	−10.7050	+	2.86839i	−0.670372	+	0.179626i
$256$	7.63561	−	13.2253i	0.477225	−	0.826579i
$257$	7.66728	+	13.2801i	0.478272	+	0.828391i	0.999690	−	0.0249104i	$-0.00793005\pi$
$257$	7.66728	+	13.2801i	0.478272	+	0.828391i	−0.521418	+	0.853301i	$0.674597\pi$
$258$	−5.56057	−	5.56057i	−0.346186	−	0.346186i
$259$	0.522871	−	2.18810i	0.0324896	−	0.135962i
$260$	−4.67619	−	6.15497i	−0.290005	−	0.381715i
$261$	−3.59323	−	6.22366i	−0.222416	−	0.385235i
$262$	−0.00409701	−	0.0152903i	−0.000253114	−	0.000944636i
$263$	1.34963	−	2.33762i	0.0832216	−	0.144144i	−0.821410	−	0.570338i	$-0.806812\pi$
$263$	1.34963	−	2.33762i	0.0832216	−	0.144144i	0.904632	+	0.426193i	$0.140146\pi$
$264$	−5.56799	−	9.64404i	−0.342686	−	0.593550i
$265$	4.12360	−	4.12360i	0.253310	−	0.253310i
$266$	0.832474	+	0.450858i	0.0510423	+	0.0276439i
$267$	5.54014	−	5.54014i	0.339051	−	0.339051i
$268$	10.6406	+	2.85113i	0.649977	+	0.174161i
$269$	16.8717	+	9.74089i	1.02869	+	0.593913i	0.916608	−	0.399787i	$-0.130916\pi$
$269$	16.8717	+	9.74089i	1.02869	+	0.593913i	0.112079	+	0.993699i	$0.464249\pi$
$270$	−1.20792	−	0.697391i	−0.0735114	−	0.0424419i
$271$	−6.46832	+	24.1401i	−0.392922	+	1.46641i	0.432368	+	0.901697i	$0.357678\pi$
$271$	−6.46832	+	24.1401i	−0.392922	+	1.46641i	−0.825290	+	0.564708i	$0.808989\pi$
$272$	1.71372			0.103910
$273$	−5.63590	+	7.69654i	−0.341100	+	0.465816i
$274$	−7.64870			−0.462075
$275$	2.34133	−	8.73798i	0.141188	−	0.526920i
$276$	−5.52630	−	3.19061i	−0.332644	−	0.192052i
$277$	−2.03904	−	1.17724i	−0.122514	−	0.0707334i	0.437491	−	0.899223i	$-0.355867\pi$
$277$	−2.03904	−	1.17724i	−0.122514	−	0.0707334i	−0.560005	+	0.828490i	$0.689201\pi$
$278$	16.6713	+	4.46706i	0.999878	+	0.267916i
$279$	4.62704	−	4.62704i	0.277014	−	0.277014i
$280$	6.35975	+	10.3536i	0.380068	+	0.618745i
$281$	3.87493	−	3.87493i	0.231159	−	0.231159i	−0.582017	−	0.813176i	$-0.697736\pi$
$281$	3.87493	−	3.87493i	0.231159	−	0.231159i	0.813176	+	0.582017i	$0.197736\pi$
$282$	0.615175	+	1.06551i	0.0366331	+	0.0634505i
$283$	−2.50790	+	4.34381i	−0.149079	+	0.258213i	−0.930887	−	0.365306i	$-0.880964\pi$
$283$	−2.50790	+	4.34381i	−0.149079	+	0.258213i	0.781808	+	0.623519i	$0.214298\pi$
$284$	−0.904497	−	3.37563i	−0.0536720	−	0.200307i
$285$	−0.352812	−	0.611089i	−0.0208988	−	0.0361978i
$286$	−12.0820	−	1.64956i	−0.714423	−	0.0975406i
$287$	−4.91620	−	4.65543i	−0.290194	−	0.274801i
$288$	4.06875	+	4.06875i	0.239754	+	0.239754i
$289$	−13.8280	−	23.9507i	−0.813409	−	1.40887i
$290$	−5.01178	+	8.68065i	−0.294302	+	0.509745i
$291$	−0.277051	+	0.0742355i	−0.0162410	+	0.00435176i
$292$	−9.22098	−	2.47076i	−0.539617	−	0.144590i
$293$	−7.51968	−	7.51968i	−0.439304	−	0.439304i	0.452473	−	0.891778i	$-0.350542\pi$
$293$	−7.51968	−	7.51968i	−0.439304	−	0.439304i	−0.891778	+	0.452473i	$0.850542\pi$
$294$	3.92998	−	4.38329i	0.229201	−	0.255639i
$295$	−0.402963			−0.0234614
$296$	−2.03921	+	1.17734i	−0.118527	+	0.0684316i
$297$	3.88434	−	1.04081i	0.225392	−	0.0603937i
$298$	−6.09388	−	3.51830i	−0.353009	−	0.203810i
$299$	−16.4760	+	6.73225i	−0.952829	+	0.389336i
$300$			2.90797i			0.167892i
$301$	−24.7297	+	0.673737i	−1.42540	+	0.0388336i
$302$	20.0704			1.15492
$303$	−12.9884	+	7.49887i	−0.746165	+	0.430799i
$304$	0.0282402	+	0.105394i	0.00161969	+	0.00604476i
$305$	−20.5126	+	5.49634i	−1.17455	+	0.314719i
$306$	1.45459	−	5.42859i	0.0831531	−	0.310332i
$307$	15.8504	+	15.8504i	0.904629	+	0.904629i	0.995832	−	0.0912037i	$-0.0290714\pi$
$307$	15.8504	+	15.8504i	0.904629	+	0.904629i	−0.0912037	+	0.995832i	$0.529071\pi$
$308$	−13.3770	−	3.19659i	−0.762228	−	0.182143i
$309$			19.2488i			1.09503i
$310$	−8.81594	−	2.36222i	−0.500711	−	0.134165i
$311$	−2.46471	+	4.26901i	−0.139761	+	0.242073i	−0.927406	−	0.374056i	$-0.877967\pi$
$311$	−2.46471	+	4.26901i	−0.139761	+	0.242073i	0.787645	+	0.616129i	$0.211300\pi$
$312$	9.90522	−	1.25579i	0.560773	−	0.0710951i
$313$	−3.50541	+	2.02385i	−0.198137	+	0.114395i	−0.595786	−	0.803143i	$-0.703160\pi$
$313$	−3.50541	+	2.02385i	−0.198137	+	0.114395i	0.397649	+	0.917538i	$0.369826\pi$
$314$	11.3030	−	11.3030i	0.637868	−	0.637868i
$315$	−4.20584	+	1.25066i	−0.236972	+	0.0704670i
$316$		−	0.242710i		−	0.0136535i
$317$	8.42312	−	31.4355i	0.473089	−	1.76559i	−0.155479	−	0.987839i	$-0.549692\pi$
$317$	8.42312	−	31.4355i	0.473089	−	1.76559i	0.628568	−	0.777754i	$-0.283641\pi$
$318$	0.765399	+	2.85651i	0.0429215	+	0.160185i
$319$	−7.47972	−	27.9147i	−0.418784	−	1.56292i
$320$	1.85705	−	6.93059i	0.103812	−	0.387432i
$321$		−	2.08970i		−	0.116635i
$322$	10.5284	−	3.13075i	0.586722	−	0.174470i
$323$	2.01046	−	2.01046i	0.111865	−	0.111865i
$324$	−1.11951	+	0.646347i	−0.0621948	+	0.0359082i
$325$	6.41102	+	4.96834i	0.355619	+	0.275594i
$326$	−1.15108	+	1.99374i	−0.0637527	+	0.110423i
$327$	−16.8351	−	4.51094i	−0.930981	−	0.249456i
$328$			7.08659i			0.391292i
$329$	3.76457	+	0.899585i	0.207548	+	0.0495957i
$330$	−3.96611	−	3.96611i	−0.218327	−	0.218327i
$331$	−4.33748	+	16.1877i	−0.238409	+	0.889756i	0.738173	+	0.674612i	$0.235689\pi$
$331$	−4.33748	+	16.1877i	−0.238409	+	0.889756i	−0.976582	+	0.215144i	$0.930978\pi$
$332$	7.29043	−	1.95346i	0.400114	−	0.107210i
$333$	−0.220076	−	0.821337i	−0.0120601	−	0.0450090i
$334$	2.35630	−	1.36041i	0.128931	−	0.0744385i
$335$	14.1328			0.772157
$336$	0.678249	−	0.0184782i	0.0370015	−	0.00100807i
$337$		−	27.2783i		−	1.48594i	−0.669322	−	0.742972i	$-0.733415\pi$
$337$		−	27.2783i		−	1.48594i	0.669322	−	0.742972i	$-0.266585\pi$
$338$	5.55709	−	9.41559i	0.302266	−	0.512141i
$339$	17.2135	+	9.93823i	0.934910	+	0.539770i
$340$	13.8383	−	3.70796i	0.750486	−	0.201092i
$341$	22.7889	−	13.1572i	1.23409	−	0.712500i
$342$	0.357828			0.0193491
$343$	−1.51164	−	18.4585i	−0.0816210	−	0.996663i
$344$	18.3093	+	18.3093i	0.987170	+	0.987170i
$345$	−7.90777	−	2.11888i	−0.425740	−	0.114077i
$346$	0.315804	−	0.0846193i	0.0169777	−	0.00454916i
$347$	−7.36178	+	12.7510i	−0.395201	+	0.684508i	−0.993127	−	0.117043i	$-0.962658\pi$
$347$	−7.36178	+	12.7510i	−0.395201	+	0.684508i	0.597926	+	0.801551i	$0.295992\pi$
$348$	4.64495	+	8.04530i	0.248996	+	0.431273i
$349$	12.8404	+	12.8404i	0.687329	+	0.687329i	0.961641	−	0.274312i	$-0.0884500\pi$
$349$	12.8404	+	12.8404i	0.687329	+	0.687329i	−0.274312	+	0.961641i	$0.588450\pi$
$350$	−3.63449	−	3.44171i	−0.194272	−	0.183967i
$351$	−0.487743	+	3.57241i	−0.0260338	+	0.190681i
$352$	11.5696	+	20.0392i	0.616664	+	1.06809i
$353$	2.08463	+	7.77996i	0.110954	+	0.414086i	0.998952	−	0.0457607i	$-0.0145712\pi$
$353$	2.08463	+	7.77996i	0.110954	+	0.414086i	−0.887999	+	0.459846i	$0.847905\pi$
$354$	0.102173	−	0.176969i	0.00543043	−	0.00940578i
$355$	−2.24175	−	3.88283i	−0.118980	−	0.206079i
$356$	−7.16171	+	7.16171i	−0.379570	+	0.379570i
$357$	−9.25384	−	15.0651i	−0.489765	−	0.797331i
$358$	−10.4196	+	10.4196i	−0.550691	+	0.550691i
$359$	26.3094	+	7.04959i	1.38856	+	0.372063i	0.874223	−	0.485525i	$-0.161372\pi$
$359$	26.3094	+	7.04959i	1.38856	+	0.372063i	0.514336	+	0.857589i	$0.328038\pi$
$360$	3.97730	+	2.29630i	0.209622	+	0.121025i
$361$	−16.2977	−	9.40949i	−0.857774	−	0.495236i
$362$	1.61440	−	6.02500i	0.0848507	−	0.316667i
$363$	5.17139			0.271428
$364$	7.28549	−	9.94927i	0.381864	−	0.521484i
$365$	−12.2473			−0.641053
$366$	2.78724	−	10.4021i	0.145691	−	0.543727i
$367$	5.63384	+	3.25270i	0.294084	+	0.169789i	0.639782	−	0.768556i	$-0.279025\pi$
$367$	5.63384	+	3.25270i	0.294084	+	0.169789i	−0.345698	+	0.938346i	$0.612358\pi$
$368$	1.09632	+	0.632963i	0.0571499	+	0.0329955i
$369$	−2.47187	−	0.662337i	−0.128681	−	0.0344799i
$370$	−0.838627	+	0.838627i	−0.0435981	+	0.0435981i
$371$	8.18059	+	4.43051i	0.424715	+	0.230020i
$372$	−5.98135	+	5.98135i	−0.310119	+	0.310119i
$373$	−2.10914	−	3.65314i	−0.109207	−	0.189152i	0.806242	−	0.591586i	$-0.201498\pi$
$373$	−2.10914	−	3.65314i	−0.109207	−	0.189152i	−0.915449	+	0.402433i	$0.868165\pi$
$374$	11.3002	−	19.5725i	0.584320	−	1.01207i
$375$	3.11178	+	11.6133i	0.160692	+	0.599710i
$376$	−2.02558	−	3.50841i	−0.104462	−	0.180933i
$377$	25.6730	+	3.50515i	1.32223	+	0.180524i
$378$	0.517155	−	2.16418i	0.0265996	−	0.111314i
$379$	16.8958	+	16.8958i	0.867881	+	0.867881i	0.992238	−	0.124357i	$-0.0396867\pi$
$379$	16.8958	+	16.8958i	0.867881	+	0.867881i	−0.124357	+	0.992238i	$0.539687\pi$
$380$	0.456078	+	0.789951i	0.0233963	+	0.0405236i
$381$	1.50652	−	2.60937i	0.0771814	−	0.133682i
$382$	−14.0308	+	3.75953i	−0.717876	+	0.192354i
$383$	18.5450	+	4.96912i	0.947606	+	0.253910i	0.699346	−	0.714783i	$-0.253475\pi$
$383$	18.5450	+	4.96912i	0.947606	+	0.253910i	0.248260	+	0.968693i	$0.420141\pi$
$384$	−5.56467	−	5.56467i	−0.283971	−	0.283971i
$385$	−17.6386	+	0.480547i	−0.898947	+	0.0244909i
$386$	−13.6676			−0.695665
$387$	−8.09770	+	4.67521i	−0.411629	+	0.237654i
$388$	0.358142	−	0.0959639i	0.0181819	−	0.00487183i
$389$	28.2591	+	16.3154i	1.43280	+	0.827225i	0.997333	−	0.0729826i	$-0.0232518\pi$
$389$	28.2591	+	16.3154i	1.43280	+	0.827225i	0.435462	+	0.900207i	$0.356585\pi$
$390$	4.65532	−	1.90221i	0.235731	−	0.0963223i
$391$		−	32.9873i		−	1.66824i
$392$	−12.9402	+	14.4328i	−0.653580	+	0.728968i
$393$	−0.0188221			−0.000949448
$394$	14.0153	−	8.09172i	0.706079	−	0.407655i
$395$	−0.0805917	−	0.300772i	−0.00405501	−	0.0151335i
$396$	−5.02127	+	1.34544i	−0.252328	+	0.0676111i
$397$	3.41060	−	12.7285i	0.171173	−	0.638827i	−0.825999	−	0.563672i	$-0.809388\pi$
$397$	3.41060	−	12.7285i	0.171173	−	0.638827i	0.997172	−	0.0751549i	$-0.0239451\pi$
$398$	7.34291	+	7.34291i	0.368067	+	0.368067i
$399$	0.774012	−	0.817367i	0.0387491	−	0.0409196i
$400$		−	0.576892i		−	0.0288446i
$401$	34.1390	+	9.14753i	1.70482	+	0.456806i	0.974146	−	0.225919i	$-0.0725385\pi$
$401$	34.1390	+	9.14753i	1.70482	+	0.456806i	0.730676	+	0.682725i	$0.239205\pi$
$402$	−3.58343	+	6.20668i	−0.178725	+	0.309561i
$403$	2.96743	+	23.4060i	0.147818	+	1.16594i
$404$	16.7901	−	9.69375i	0.835337	−	0.482282i
$405$	−1.17270	+	1.17270i	−0.0582720	+	0.0582720i
$406$	−15.5528	−	3.71652i	−0.771874	−	0.184448i
$407$		−	3.41941i		−	0.169494i
$408$	−4.78951	+	17.8747i	−0.237116	+	0.884928i
$409$	−1.64988	−	6.15743i	−0.0815813	−	0.304466i	0.913064	−	0.407817i	$-0.133710\pi$
$409$	−1.64988	−	6.15743i	−0.0815813	−	0.304466i	−0.994645	+	0.103352i	$0.967043\pi$
$410$	0.923815	+	3.44773i	0.0456240	+	0.170271i
$411$	−2.35386	+	8.78473i	−0.116107	+	0.433319i
$412$		−	24.8829i		−	1.22589i
$413$	−0.183232	−	0.616186i	−0.00901624	−	0.0303206i
$414$	2.93559	−	2.93559i	0.144277	−	0.144277i
$415$	8.38584	−	4.84157i	0.411645	−	0.237663i
$416$	−20.5819	+	2.60938i	−1.00911	+	0.127936i
$417$	10.2611	−	17.7727i	0.502486	−	0.870331i
$418$	1.38993	+	0.372430i	0.0679835	+	0.0182161i
$419$			7.13519i			0.348577i	0.984695	+	0.174288i	$0.0557625\pi$
$419$			7.13519i			0.348577i	−0.984695	+	0.174288i	$0.944237\pi$
$420$	5.43686	−	1.61673i	0.265292	−	0.0788882i
$421$	−21.4815	−	21.4815i	−1.04695	−	1.04695i	−0.998842	−	0.0481030i	$-0.984682\pi$
$421$	−21.4815	−	21.4815i	−1.04695	−	1.04695i	−0.0481030	−	0.998842i	$-0.515318\pi$
$422$	−1.79509	+	6.69938i	−0.0873838	+	0.326121i
$423$	1.41309	−	0.378636i	0.0687067	−	0.0184099i
$424$	−2.52023	−	9.40561i	−0.122393	−	0.456777i
$425$	−13.0186	+	7.51628i	−0.631494	+	0.364593i
$426$	2.27362			0.110157
$427$	−17.7320	−	28.8674i	−0.858110	−	1.39699i
$428$			2.70134i			0.130574i
$429$	−5.61275	+	13.3688i	−0.270986	+	0.645452i
$430$	11.2945	+	6.52090i	0.544670	+	0.314466i
$431$	8.51135	−	2.28061i	0.409978	−	0.109853i	−0.0479349	−	0.998850i	$-0.515264\pi$
$431$	8.51135	−	2.28061i	0.409978	−	0.109853i	0.457912	+	0.888997i	$0.348597\pi$
$432$	0.222091	−	0.128225i	0.0106854	−	0.00616921i
$433$	9.25367			0.444703			0.222352	−	0.974967i	$-0.428627\pi$
$433$	9.25367			0.444703			0.222352	+	0.974967i	$0.428627\pi$
$434$	−0.396535	−	14.5549i	−0.0190343	−	0.698658i
$435$	8.42759	+	8.42759i	0.404072	+	0.404072i
$436$	21.7626	+	5.83127i	1.04224	+	0.279267i
$437$	2.02872	−	0.543594i	0.0970468	−	0.0260036i
$438$	3.10535	−	5.37863i	0.148379	−	0.257001i
$439$	7.22863	+	12.5204i	0.345004	+	0.597564i	0.985354	−	0.170519i	$-0.0545443\pi$
$439$	7.22863	+	12.5204i	0.345004	+	0.597564i	−0.640351	+	0.768083i	$0.721211\pi$
$440$	13.0592	+	13.0592i	0.622573	+	0.622573i
$441$	−3.82488	−	5.86262i	−0.182137	−	0.279172i
$442$	12.2585	+	16.1350i	0.583076	+	0.767466i
$443$	10.0488	+	17.4050i	0.477433	+	0.826939i	0.999665	−	0.0258646i	$-0.00823387\pi$
$443$	10.0488	+	17.4050i	0.477433	+	0.826939i	−0.522232	+	0.852803i	$0.674901\pi$
$444$	0.284492	+	1.06174i	0.0135014	+	0.0503878i
$445$	−6.49694	+	11.2530i	−0.307984	+	0.533444i
$446$	−0.219001	−	0.379321i	−0.0103700	−	0.0179614i
$447$	−5.91623	+	5.91623i	−0.279828	+	0.279828i
$448$	11.4423	−	0.311733i	0.540596	−	0.0147280i
$449$	−18.9705	+	18.9705i	−0.895276	+	0.895276i	−0.995014	−	0.0997382i	$-0.968199\pi$
$449$	−18.9705	+	18.9705i	−0.895276	+	0.895276i	0.0997382	+	0.995014i	$0.468199\pi$
$450$	−1.82743	−	0.489658i	−0.0861459	−	0.0230827i
$451$	−8.91224	−	5.14549i	−0.419661	−	0.242291i
$452$	−22.2518	−	12.8471i	−1.04664	−	0.604276i
$453$	6.17660	−	23.0514i	0.290202	−	1.08305i
$454$	12.8867			0.604801
$455$	5.72472	−	14.7485i	0.268379	−	0.691422i
$456$	−1.17822			−0.0551751
$457$	1.59008	−	5.93424i	0.0743806	−	0.277592i	−0.918712	−	0.394929i	$-0.870769\pi$
$457$	1.59008	−	5.93424i	0.0743806	−	0.277592i	0.993092	+	0.117337i	$0.0374358\pi$
$458$	−4.23669	−	2.44606i	−0.197968	−	0.114297i
$459$	−5.78722	−	3.34125i	−0.270124	−	0.155956i
$460$	10.2223	+	2.73907i	0.476619	+	0.127710i
$461$	−0.632318	+	0.632318i	−0.0294500	+	0.0294500i	−0.721678	−	0.692228i	$-0.756629\pi$
$461$	−0.632318	+	0.632318i	−0.0294500	+	0.0294500i	0.692228	+	0.721678i	$0.256629\pi$
$462$	4.26130	−	7.86817i	0.198254	−	0.366060i
$463$	4.46990	−	4.46990i	0.207734	−	0.207734i	−0.595570	−	0.803304i	$-0.703074\pi$
$463$	4.46990	−	4.46990i	0.207734	−	0.207734i	0.803304	+	0.595570i	$0.203074\pi$
$464$	−0.921482	−	1.59605i	−0.0427787	−	0.0740949i
$465$	−5.42614	+	9.39835i	−0.251631	+	0.435838i
$466$	1.66854	+	6.22708i	0.0772936	+	0.288464i
$467$	6.53755	+	11.3234i	0.302522	+	0.523983i	0.976707	−	0.214580i	$-0.0688381\pi$
$467$	6.53755	+	11.3234i	0.302522	+	0.523983i	−0.674185	+	0.738563i	$0.735505\pi$
$468$	0.630503	−	4.61803i	0.0291450	−	0.213469i
$469$	6.42634	+	21.6110i	0.296741	+	0.997904i
$470$	−1.44283	−	1.44283i	−0.0665530	−	0.0665530i
$471$	−9.50336	−	16.4603i	−0.437891	−	0.758450i
$472$	−0.336424	+	0.582704i	−0.0154852	+	0.0268211i
$473$	−36.3202	+	9.73198i	−1.67001	+	0.447477i
$474$	0.152524	+	0.0408687i	0.00700566	+	0.00187716i
$475$	−0.676783	−	0.676783i	−0.0310529	−	0.0310529i
$476$	11.9624	+	19.4746i	0.548295	+	0.892617i
$477$	3.51632			0.161001
$478$	−0.675864	+	0.390210i	−0.0309133	+	0.0178478i
$479$	2.40066	−	0.643254i	0.109689	−	0.0293910i	−0.203557	−	0.979063i	$-0.565250\pi$
$479$	2.40066	−	0.643254i	0.109689	−	0.0293910i	0.313246	+	0.949672i	$0.398584\pi$
$480$	−8.26437	−	4.77144i	−0.377215	−	0.217785i
$481$	2.82681	+	1.18680i	0.128891	+	0.0541136i
$482$			0.419698i			0.0191167i
$483$	−0.355686	−	13.0556i	−0.0161843	−	0.594048i
$484$	−6.68503			−0.303865
$485$	0.411954	−	0.237842i	0.0187059	−	0.0107998i
$486$	−0.217671	−	0.812358i	−0.00987374	−	0.0368493i
$487$	−19.5539	+	5.23946i	−0.886073	+	0.237422i	−0.673025	−	0.739619i	$-0.735006\pi$
$487$	−19.5539	+	5.23946i	−0.886073	+	0.237422i	−0.213047	+	0.977042i	$0.568339\pi$
$488$	−9.17753	+	34.2510i	−0.415447	+	1.55047i
$489$	1.93561	+	1.93561i	0.0875315	+	0.0875315i
$490$	−4.41412	+	8.70867i	−0.199409	+	0.393418i
$491$		−	29.5049i		−	1.33154i	−0.746158	−	0.665768i	$-0.768104\pi$
$491$		−	29.5049i		−	1.33154i	0.746158	−	0.665768i	$-0.231896\pi$
$492$	3.19538	+	0.856199i	0.144059	+	0.0386004i
$493$	−24.0118	+	41.5897i	−1.08144	+	1.87311i
$494$	−0.790300	+	1.01978i	−0.0355573	+	0.0458822i
$495$	−5.77573	+	3.33462i	−0.259600	+	0.149880i
$496$	1.18660	−	1.18660i	0.0532799	−	0.0532799i
$497$	4.91804	−	5.19351i	0.220604	−	0.232961i
$498$			4.91040i			0.220040i
$499$	−5.26294	+	19.6415i	−0.235601	+	0.879276i	0.742275	+	0.670095i	$0.233747\pi$
$499$	−5.26294	+	19.6415i	−0.235601	+	0.879276i	−0.977877	+	0.209181i	$0.932920\pi$
$500$	−4.02259	−	15.0125i	−0.179896	−	0.671379i
$501$	−0.837324	−	3.12493i	−0.0374089	−	0.139612i
$502$	−4.73982	+	17.6892i	−0.211548	+	0.789509i
$503$		−	9.33805i		−	0.416363i	−0.978090	−	0.208181i	$-0.933246\pi$
$503$		−	9.33805i		−	0.416363i	0.978090	−	0.208181i	$-0.0667545\pi$
$504$	−1.70283	+	7.12599i	−0.0758502	+	0.317417i
$505$	17.5879	−	17.5879i	0.782650	−	0.782650i
$506$	14.4582	−	8.34746i	0.642747	−	0.371090i
$507$	−9.10387	−	9.28006i	−0.404317	−	0.412142i
$508$	−1.94747	+	3.37312i	−0.0864051	+	0.149658i
$509$	30.5828	+	8.19464i	1.35556	+	0.363221i	0.862184	−	0.506596i	$-0.169096\pi$
$509$	30.5828	+	8.19464i	1.35556	+	0.363221i	0.493375	+	0.869817i	$0.335763\pi$
$510$			9.32064i			0.412725i
$511$	−5.56898	−	18.7278i	−0.246357	−	0.828470i
$512$	2.04775	+	2.04775i	0.0904984	+	0.0904984i
$513$	0.110120	−	0.410974i	0.00486193	−	0.0181450i
$514$	12.4571	−	3.33788i	0.549461	−	0.147228i
$515$	−8.26235	−	30.8355i	−0.364082	−	1.35877i
$516$	10.4679	−	6.04362i	0.460822	−	0.266056i
$517$	5.88300			0.258734
$518$	−1.66371	−	0.901044i	−0.0730992	−	0.0395896i
$519$		−	0.388749i		−	0.0170642i
$520$	−15.3285	+	6.26340i	−0.672201	+	0.274668i
$521$	−1.74747	−	1.00890i	−0.0765580	−	0.0442008i	0.461232	−	0.887279i	$-0.347407\pi$
$521$	−1.74747	−	1.00890i	−0.0765580	−	0.0442008i	−0.537790	+	0.843079i	$0.680741\pi$
$522$	−5.83798	+	1.56428i	−0.255522	+	0.0684668i
$523$	26.1696	−	15.1090i	1.14432	−	0.660671i	0.196820	−	0.980440i	$-0.436938\pi$
$523$	26.1696	−	15.1090i	1.14432	−	0.660671i	0.947496	+	0.319769i	$0.103605\pi$
$524$	0.0243312			0.00106291
$525$	−5.07138	+	3.11513i	−0.221333	+	0.135955i
$526$	−1.60521	−	1.60521i	−0.0699906	−	0.0699906i
$527$	−42.2378	−	11.3176i	−1.83991	−	0.493002i
$528$	0.996136	−	0.266914i	0.0433512	−	0.0116159i
$529$	0.683862	−	1.18448i	0.0297331	−	0.0514993i
$530$	−2.45225	−	4.24742i	−0.106519	−	0.184496i
$531$	−0.171810	−	0.171810i	−0.00745590	−	0.00745590i
$532$	−1.00056	+	1.05661i	−0.0433798	+	0.0458097i
$533$	7.34700	−	5.58182i	0.318234	−	0.241775i
$534$	−3.29465	−	5.70650i	−0.142573	−	0.246944i
$535$	0.896978	+	3.34757i	0.0387798	+	0.144728i
$536$	11.7991	−	20.4367i	0.509645	−	0.882731i
$537$	8.76054	+	15.1737i	0.378045	+	0.654794i
$538$	11.5856	−	11.5856i	0.499489	−	0.499489i
$539$	−8.75529	−	26.7534i	−0.377117	−	1.15235i
$540$	1.51595	−	1.51595i	0.0652359	−	0.0652359i
$541$	−24.4879	−	6.56151i	−1.05282	−	0.282101i	−0.309401	−	0.950932i	$-0.600128\pi$
$541$	−24.4879	−	6.56151i	−1.05282	−	0.282101i	−0.743415	+	0.668831i	$0.766795\pi$
$542$	18.2024	+	10.5092i	0.781861	+	0.451407i
$543$	−6.42304	−	3.70835i	−0.275639	−	0.159140i
$544$	9.95204	−	37.1415i	0.426690	−	1.59243i
$545$	28.9050			1.23816
$546$	5.02557	+	6.25367i	0.215075	+	0.267632i
$547$	−25.0351			−1.07043			−0.535213	−	0.844717i	$-0.679769\pi$
$547$	−25.0351			−1.07043			−0.535213	+	0.844717i	$0.679769\pi$
$548$	3.04282	−	11.3560i	0.129983	−	0.485103i
$549$	−11.0893	−	6.40242i	−0.473281	−	0.273249i
$550$	−6.58872	−	3.80400i	−0.280944	−	0.162203i
$551$	−2.95345	−	0.791375i	−0.125821	−	0.0337137i
$552$	−9.66601	+	9.66601i	−0.411413	+	0.411413i
$553$	0.423277	−	0.260000i	0.0179995	−	0.0110563i
$554$	−1.40018	+	1.40018i	−0.0594878	+	0.0594878i
$555$	0.705099	+	1.22127i	0.0299298	+	0.0518399i
$556$	−13.2644	+	22.9746i	−0.562536	+	0.974342i
$557$	−3.01365	−	11.2471i	−0.127692	−	0.476554i	0.872229	−	0.489098i	$-0.162674\pi$
$557$	−3.01365	−	11.2471i	−0.127692	−	0.476554i	−0.999921	+	0.0125434i	$0.996007\pi$
$558$	−2.75164	−	4.76598i	−0.116486	−	0.201760i
$559$	4.56060	−	33.4035i	0.192893	−	1.41282i
$560$	−1.07858	+	0.320732i	−0.0455785	+	0.0135534i
$561$	−19.0020	−	19.0020i	−0.802263	−	0.802263i
$562$	−2.30437	−	3.99129i	−0.0972040	−	0.168362i
$563$	−12.4685	+	21.5960i	−0.525483	+	0.910163i	0.474077	+	0.880484i	$0.342782\pi$
$563$	−12.4685	+	21.5960i	−0.525483	+	0.910163i	−0.999559	+	0.0296792i	$0.990551\pi$
$564$	−1.82669	+	0.489460i	−0.0769176	+	0.0206100i
$565$	−31.8409	−	8.53175i	−1.33956	−	0.358933i
$566$	2.98283	+	2.98283i	0.125378	+	0.125378i
$567$	−2.32647	−	1.25998i	−0.0977023	−	0.0529144i
$568$	−7.48634			−0.314120
$569$	−7.17678	+	4.14352i	−0.300866	+	0.173705i	−0.642832	−	0.766007i	$-0.722241\pi$
$569$	−7.17678	+	4.14352i	−0.300866	+	0.173705i	0.341966	+	0.939712i	$0.388907\pi$
$570$	−0.573219	+	0.153594i	−0.0240095	+	0.00643333i
$571$	39.6451	+	22.8891i	1.65910	+	0.957879i	0.973133	+	0.230243i	$0.0739520\pi$
$571$	39.6451	+	22.8891i	1.65910	+	0.957879i	0.685963	+	0.727637i	$0.259381\pi$
$572$	7.25557	−	17.2818i	0.303371	−	0.722588i
$573$			17.2717i			0.721534i
$574$	−4.85198	+	2.98036i	−0.202518	+	0.124398i
$575$	−11.1045			−0.463092
$576$	3.74675	−	2.16319i	0.156114	−	0.0901327i
$577$	−8.70024	−	32.4698i	−0.362196	−	1.35173i	−0.871183	−	0.490959i	$-0.836646\pi$
$577$	−8.70024	−	32.4698i	−0.362196	−	1.35173i	0.508987	−	0.860774i	$-0.330020\pi$
$578$	−22.4665	+	6.01988i	−0.934483	+	0.250394i
$579$	−4.20617	+	15.6976i	−0.174802	+	0.652371i
$580$	−10.8943	−	10.8943i	−0.452361	−	0.452361i
$581$	11.2166	+	10.6216i	0.465342	+	0.440658i
$582$			0.241223i			0.00999902i
$583$	13.6586	+	3.65981i	0.565681	+	0.151574i
$584$	−10.2250	+	17.7102i	−0.423113	+	0.732853i
$585$	−0.752081	−	5.93215i	−0.0310947	−	0.245264i
$586$	−7.74548	+	4.47186i	−0.319963	+	0.184731i
$587$	−21.9164	+	21.9164i	−0.904585	+	0.904585i	−0.995829	−	0.0912434i	$-0.970916\pi$
$587$	−21.9164	+	21.9164i	−0.904585	+	0.904585i	0.0912434	+	0.995829i	$0.470916\pi$
$588$	4.94440	+	7.57858i	0.203904	+	0.312535i
$589$		−	2.78413i		−	0.114718i
$590$	−0.0877132	+	0.327350i	−0.00361109	+	0.0134768i
$591$	−4.98039	−	18.5871i	−0.204866	−	0.764571i
$592$	−0.0564384	−	0.210631i	−0.00231960	−	0.00865688i
$593$	2.22269	−	8.29519i	0.0912749	−	0.340643i	−0.905153	−	0.425085i	$-0.860244\pi$
$593$	2.22269	−	8.29519i	0.0912749	−	0.340643i	0.996428	+	0.0844424i	$0.0269109\pi$
$594$		−	3.38203i		−	0.138766i
$595$	21.2906	+	20.1613i	0.872831	+	0.826534i
$596$	7.64787	−	7.64787i	0.313269	−	0.313269i
$597$	10.6933	−	6.17376i	0.437646	−	0.252675i
$598$	1.88266	+	14.8498i	0.0769878	+	0.607253i
$599$	1.13207	−	1.96081i	0.0462552	−	0.0801164i	−0.841971	−	0.539523i	$-0.818605\pi$
$599$	1.13207	−	1.96081i	0.0462552	−	0.0801164i	0.888226	+	0.459407i	$0.151938\pi$
$600$	6.01717	+	1.61230i	0.245650	+	0.0658217i
$601$			4.42047i			0.180315i	0.995928	+	0.0901573i	$0.0287370\pi$
$601$			4.42047i			0.180315i	−0.995928	+	0.0901573i	$0.971263\pi$
$602$	−4.83562	+	20.2360i	−0.197085	+	0.824759i
$603$	6.02574	+	6.02574i	0.245387	+	0.245387i
$604$	−7.98445	+	29.7984i	−0.324883	+	1.21248i
$605$	−8.28426	+	2.21976i	−0.336803	+	0.0902461i
$606$	3.26456	+	12.1835i	0.132614	+	0.494922i
$607$	−15.0354	+	8.68070i	−0.610269	+	0.352339i	−0.773071	−	0.634320i	$-0.781280\pi$
$607$	−15.0354	+	8.68070i	−0.610269	+	0.352339i	0.162802	+	0.986659i	$0.447947\pi$
$608$	2.44820			0.0992877
$609$	−9.05484	+	16.7191i	−0.366920	+	0.677491i
$610$			17.8600i			0.723129i
$611$	−2.04187	+	4.86345i	−0.0826050	+	0.196754i
$612$	7.48111	+	4.31922i	0.302406	+	0.174594i
$613$	−38.0195	+	10.1873i	−1.53559	+	0.411461i	−0.924839	−	0.380360i	$-0.875800\pi$
$613$	−38.0195	+	10.1873i	−1.53559	+	0.411461i	−0.610754	+	0.791821i	$0.709133\pi$
$614$	16.3263	−	9.42601i	0.658877	−	0.380403i
$615$	4.24410			0.171139
$616$	−14.0312	+	25.9075i	−0.565332	+	1.04384i
$617$	27.6788	+	27.6788i	1.11431	+	1.11431i	0.992561	+	0.121747i	$0.0388496\pi$
$617$	27.6788	+	27.6788i	1.11431	+	1.11431i	0.121747	+	0.992561i	$0.461150\pi$
$618$	15.6369	+	4.18990i	0.629010	+	0.168543i
$619$	0.216769	−	0.0580832i	0.00871270	−	0.00233456i	−0.254460	−	0.967083i	$-0.581898\pi$
$619$	0.216769	−	0.0580832i	0.00871270	−	0.00233456i	0.263173	+	0.964749i	$0.415231\pi$
$620$	7.01435	−	12.1492i	0.281703	−	0.487924i
$621$	−2.46818	−	4.27502i	−0.0990448	−	0.171551i
$622$	2.93146	+	2.93146i	0.117541	+	0.117541i
$623$	−20.1617	−	4.81785i	−0.807760	−	0.193023i
$624$	−0.125081	+	0.916141i	−0.00500726	+	0.0366750i
$625$	−4.34594	−	7.52739i	−0.173838	−	0.301096i
$626$	0.881065	+	3.28818i	0.0352144	+	0.131422i
$627$	0.855489	−	1.48175i	0.0341649	−	0.0591754i
$628$	12.2849	+	21.2781i	0.490222	+	0.849090i
$629$	−4.01793	+	4.01793i	−0.160205	+	0.160205i
$630$	0.100500	+	3.68888i	0.00400401	+	0.146968i
$631$	2.17154	−	2.17154i	0.0864477	−	0.0864477i	−0.662561	−	0.749008i	$-0.730530\pi$
$631$	2.17154	−	2.17154i	0.0864477	−	0.0864477i	0.749008	+	0.662561i	$0.230530\pi$
$632$	−0.502215	−	0.134568i	−0.0199770	−	0.00535283i
$633$	7.14197	+	4.12342i	0.283868	+	0.163891i
$634$	−23.7034	−	13.6852i	−0.941382	−	0.543507i
$635$	−1.29331	+	4.82672i	−0.0513236	+	0.191542i
$636$	−4.54553			−0.180242
$637$	25.1557	+	2.04757i	0.996704	+	0.0811278i
$638$	−24.3048			−0.962237
$639$	0.699699	−	2.61131i	0.0276797	−	0.103302i
$640$	11.3028	+	6.52570i	0.446784	+	0.257951i
$641$	10.2583	+	5.92264i	0.405179	+	0.233930i	0.688716	−	0.725031i	$-0.258175\pi$
$641$	10.2583	+	5.92264i	0.405179	+	0.233930i	−0.283537	+	0.958961i	$0.591508\pi$
$642$	−1.69758	−	0.454865i	−0.0669981	−	0.0179521i
$643$	−13.8328	+	13.8328i	−0.545513	+	0.545513i	−0.925140	−	0.379627i	$-0.876052\pi$
$643$	−13.8328	+	13.8328i	−0.545513	+	0.545513i	0.379627	+	0.925140i	$0.376052\pi$
$644$	0.459793	+	16.8768i	0.0181184	+	0.665041i
$645$	10.9653	−	10.9653i	0.431757	−	0.431757i
$646$	−1.19559	−	2.07083i	−0.0470400	−	0.0814757i
$647$	20.4259	−	35.3787i	0.803025	−	1.39088i	−0.114592	−	0.993413i	$-0.536556\pi$
$647$	20.4259	−	35.3787i	0.803025	−	1.39088i	0.917617	−	0.397467i	$-0.130111\pi$
$648$	0.716723	+	2.67485i	0.0281555	+	0.105078i
$649$	−0.488547	−	0.846188i	−0.0191771	−	0.0332158i
$650$	5.43156	−	4.12658i	0.213043	−	0.161858i
$651$	−16.8387	−	4.02379i	−0.659961	−	0.157705i
$652$	−2.50216	−	2.50216i	−0.0979921	−	0.0979921i
$653$	−14.7777	−	25.5957i	−0.578295	−	1.00164i	−0.995675	−	0.0929046i	$-0.970385\pi$
$653$	−14.7777	−	25.5957i	−0.578295	−	1.00164i	0.417380	−	0.908732i	$-0.362948\pi$
$654$	−7.32899	+	12.6942i	−0.286586	+	0.496382i
$655$	0.0301519	−	0.00807917i	0.00117813	−	0.000315679i
$656$	−0.633910	−	0.169856i	−0.0247500	−	0.00663175i
$657$	−5.22183	−	5.22183i	−0.203723	−	0.203723i
$658$	1.55022	−	2.86237i	0.0604339	−	0.111587i
$659$	−11.4294			−0.445227			−0.222613	−	0.974907i	$-0.571459\pi$
$659$	−11.4294			−0.445227			−0.222613	+	0.974907i	$0.571459\pi$
$660$	7.46626	−	4.31065i	0.290624	−	0.167792i
$661$	−25.4726	+	6.82537i	−0.990771	+	0.265476i	−0.717574	−	0.696482i	$-0.754748\pi$
$661$	−25.4726	+	6.82537i	−0.990771	+	0.265476i	−0.273196	+	0.961958i	$0.588081\pi$
$662$	12.2061	+	7.04717i	0.474402	+	0.273896i
$663$	22.3040	−	9.11365i	0.866216	−	0.353945i
$664$		−	16.1684i		−	0.627457i
$665$	−0.889076	+	1.64161i	−0.0344769	+	0.0636589i
$666$	−0.715123			−0.0277105
$667$	−30.7223	+	17.7375i	−1.18957	+	0.686800i
$668$	1.08240	+	4.03959i	0.0418795	+	0.156296i
$669$	−0.503056	+	0.134794i	−0.0194493	+	0.00521142i
$670$	3.07629	−	11.4809i	0.118848	−	0.443545i
$671$	−36.4110	−	36.4110i	−1.40563	−	1.40563i
$672$	3.53829	−	14.8070i	0.136492	−	0.571192i
$673$			39.0894i			1.50678i	0.657571	+	0.753392i	$0.271584\pi$
$673$			39.0894i			1.50678i	−0.657571	+	0.753392i	$0.728416\pi$
$674$	−22.1598	−	5.93769i	−0.853562	−	0.228711i
$675$	−1.12477	+	1.94816i	−0.0432924	+	0.0749846i
$676$	11.7685	+	11.9963i	0.452636	+	0.461396i
$677$	−39.1000	+	22.5744i	−1.50274	+	0.867605i	−0.502740	+	0.864438i	$0.667675\pi$
$677$	−39.1000	+	22.5744i	−1.50274	+	0.867605i	−0.999995	+	0.00316705i	$0.998992\pi$
$678$	11.8203	−	11.8203i	0.453955	−	0.453955i
$679$	0.551013	+	0.521786i	0.0211460	+	0.0200243i
$680$		−	30.6900i		−	1.17691i
$681$	3.96582	−	14.8006i	0.151971	−	0.567162i
$682$	−5.72785	−	21.3766i	−0.219331	−	0.818554i
$683$	−0.199772	−	0.745559i	−0.00764406	−	0.0285280i	0.961998	−	0.273055i	$-0.0880340\pi$
$683$	−0.199772	−	0.745559i	−0.00764406	−	0.0285280i	−0.969643	+	0.244527i	$0.921367\pi$
$684$	−0.142352	+	0.531264i	−0.00544296	+	0.0203134i
$685$		−	15.0830i		−	0.576291i
$686$	−15.3239	−	2.78987i	−0.585070	−	0.106518i
$687$	−4.11318	+	4.11318i	−0.156928	+	0.156928i
$688$	−2.07665	+	1.19895i	−0.0791715	+	0.0457097i
$689$	−7.76615	+	10.0212i	−0.295867	+	0.381779i
$690$	−3.44258	+	5.96272i	−0.131057	+	0.226997i
$691$	−9.71115	−	2.60210i	−0.369430	−	0.0989884i	0.0693277	−	0.997594i	$-0.477915\pi$
$691$	−9.71115	−	2.60210i	−0.369430	−	0.0989884i	−0.438757	+	0.898606i	$0.644581\pi$
$692$			0.502534i			0.0191035i
$693$	−7.72539	−	7.31561i	−0.293463	−	0.277897i
$694$	8.75591	+	8.75591i	0.332370	+	0.332370i
$695$	−8.80889	+	32.8752i	−0.334140	+	1.24703i
$696$	19.2227	−	5.15070i	0.728634	−	0.195237i
$697$	4.42607	+	16.5183i	0.167649	+	0.625676i
$698$	13.2259	−	7.63600i	0.500609	−	0.289027i
$699$	7.66544			0.289933
$700$	6.55575	−	4.02691i	0.247784	−	0.152203i
$701$			28.1125i			1.06179i	0.847437	+	0.530897i	$0.178145\pi$
$701$			28.1125i			1.06179i	−0.847437	+	0.530897i	$0.821855\pi$
$702$	2.79591	+	1.17383i	0.105525	+	0.0443034i
$703$	−0.313313	−	0.180892i	−0.0118168	−	0.00682245i
$704$	16.8051	−	4.50291i	0.633366	−	0.169710i
$705$	−2.10116	+	1.21310i	−0.0791342	+	0.0456881i
$706$	6.77387			0.254938
$707$	34.8917	+	18.8969i	1.31224	+	0.710691i
$708$	0.222097	+	0.222097i	0.00834693	+	0.00834693i
$709$	16.0687	+	4.30560i	0.603474	+	0.161700i	0.547604	−	0.836738i	$-0.315540\pi$
$709$	16.0687	+	4.30560i	0.603474	+	0.161700i	0.0558700	+	0.998438i	$0.482207\pi$
$710$	−3.64221	+	0.975927i	−0.136690	+	0.0366259i
$711$	0.0938774	−	0.162600i	0.00352068	−	0.00609799i
$712$	10.8483	+	18.7898i	0.406556	+	0.704176i
$713$	−22.8408	−	22.8408i	−0.855394	−	0.855394i
$714$	−14.2526	+	4.23820i	−0.533388	+	0.158610i
$715$	3.25288	−	23.8253i	0.121651	−	0.891014i
$716$	−11.3247	−	19.6150i	−0.423224	−	0.733046i
$717$	0.240171	+	0.896332i	0.00896937	+	0.0334741i
$718$	11.4536	−	19.8382i	0.427444	−	0.740354i
$719$	−18.5300	−	32.0949i	−0.691053	−	1.19694i	−0.971493	−	0.237067i	$-0.923814\pi$
$719$	−18.5300	−	32.0949i	−0.691053	−	1.19694i	0.280441	−	0.959871i	$-0.409519\pi$
$720$	−0.300738	+	0.300738i	−0.0112079	+	0.0112079i
$721$	43.3948	−	26.6555i	1.61611	−	0.992703i
$722$	−11.1914	+	11.1914i	−0.416501	+	0.416501i
$723$	0.482034	+	0.129161i	0.0179270	+	0.00480353i
$724$	8.30303	+	4.79376i	0.308580	+	0.178159i
$725$	14.0004	+	8.08312i	0.519961	+	0.300199i
$726$	1.12566	−	4.20102i	0.0417771	−	0.155914i
$727$	13.3465			0.494996			0.247498	−	0.968888i	$-0.420392\pi$
$727$	13.3465			0.494996			0.247498	+	0.968888i	$0.420392\pi$
$728$	−16.5477	−	20.5914i	−0.613297	−	0.763169i
$729$	−1.00000			−0.0370370
$730$	−2.66588	+	9.94919i	−0.0986685	+	0.368236i
$731$	54.1130	+	31.2421i	2.00144	+	1.15553i
$732$	14.3351	+	8.27638i	0.529841	+	0.305904i
$733$	−15.9536	−	4.27475i	−0.589259	−	0.157891i	−0.0481442	−	0.998840i	$-0.515331\pi$
$733$	−15.9536	−	4.27475i	−0.589259	−	0.157891i	−0.541114	+	0.840949i	$0.681997\pi$
$734$	3.86867	−	3.86867i	0.142795	−	0.142795i
$735$	8.64370	+	7.74978i	0.318828	+	0.285855i
$736$	20.0849	−	20.0849i	0.740338	−	0.740338i
$737$	17.1344	+	29.6777i	0.631154	+	1.09319i
$738$	−1.07611	+	1.86387i	−0.0396121	+	0.0686102i
$739$	4.84302	+	18.0744i	0.178153	+	0.664877i	0.995993	+	0.0894312i	$0.0285049\pi$
$739$	4.84302	+	18.0744i	0.178153	+	0.664877i	−0.817840	+	0.575446i	$0.804828\pi$
$740$	−0.911478	−	1.57873i	−0.0335066	−	0.0580351i
$741$	0.928034	+	1.22151i	0.0340922	+	0.0448734i
$742$	5.37983	−	5.68118i	0.197500	−	0.208563i
$743$	−13.1786	−	13.1786i	−0.483478	−	0.483478i	0.422763	−	0.906240i	$-0.361060\pi$
$743$	−13.1786	−	13.1786i	−0.483478	−	0.483478i	−0.906240	+	0.422763i	$0.861060\pi$
$744$	9.06032	+	15.6929i	0.332167	+	0.575331i
$745$	6.93797	−	12.0169i	0.254188	−	0.440266i
$746$	−3.42675	+	0.918196i	−0.125462	+	0.0336175i
$747$	5.63972	+	1.51116i	0.206346	+	0.0552903i
$748$	24.5637	+	24.5637i	0.898139	+	0.898139i
$749$	−4.71103	+	2.89378i	−0.172137	+	0.105736i
$750$	10.1115			0.369221
$751$	16.0733	−	9.27992i	0.586523	−	0.338629i	−0.177199	−	0.984175i	$-0.556704\pi$
$751$	16.0733	−	9.27992i	0.586523	−	0.338629i	0.763721	+	0.645546i	$0.223370\pi$
$752$	0.362385	−	0.0971008i	0.0132148	−	0.00354090i
$753$	18.8579	+	10.8876i	0.687219	+	0.396766i
$754$	8.43569	−	20.0927i	0.307210	−	0.731733i
$755$			39.5782i			1.44040i
$756$	3.00741	+	1.62877i	0.109378	+	0.0592380i
$757$	−25.4920			−0.926523			−0.463262	−	0.886222i	$-0.653321\pi$
$757$	−25.4920			−0.926523			−0.463262	+	0.886222i	$0.653321\pi$
$758$	17.4032	−	10.0477i	0.632112	−	0.364950i
$759$	−5.13780	−	19.1745i	−0.186490	−	0.695992i
$760$	1.88744	−	0.505737i	0.0684645	−	0.0183450i
$761$	−10.7482	+	40.1127i	−0.389621	+	1.45409i	0.441131	+	0.897443i	$0.354577\pi$
$761$	−10.7482	+	40.1127i	−0.389621	+	1.45409i	−0.830752	+	0.556643i	$0.812089\pi$
$762$	−1.79182	−	1.79182i	−0.0649107	−	0.0649107i
$763$	13.1434	+	44.1998i	0.475824	+	1.60014i
$764$		−	22.3270i		−	0.807762i
$765$	10.7050	+	2.86839i	0.387040	+	0.103707i
$766$	8.07341	−	13.9836i	0.291704	−	0.505246i
$767$	0.869104	−	0.110185i	0.0313815	−	0.00397857i
$768$	−13.2253	+	7.63561i	−0.477225	+	0.275526i
$769$	9.73087	−	9.73087i	0.350904	−	0.350904i	−0.509542	−	0.860446i	$-0.670185\pi$
$769$	9.73087	−	9.73087i	0.350904	−	0.350904i	0.860446	+	0.509542i	$0.170185\pi$
$770$	−3.44903	+	14.4335i	−0.124294	+	0.520146i
$771$		−	15.3346i		−	0.552261i
$772$	5.43729	−	20.2922i	0.195692	−	0.730334i
$773$	−12.9371	−	48.2819i	−0.465315	−	1.73658i	−0.655843	−	0.754898i	$-0.727687\pi$
$773$	−12.9371	−	48.2819i	−0.465315	−	1.73658i	0.190528	−	0.981682i	$-0.438980\pi$
$774$	2.03531	+	7.59589i	0.0731578	+	0.273028i
$775$	−3.80985	+	14.2186i	−0.136854	+	0.510746i
$776$		−	0.794274i		−	0.0285128i
$777$	−1.54687	+	1.63352i	−0.0554937	+	0.0586021i
$778$	19.4051	−	19.4051i	0.695708	−	0.695708i
$779$	−0.942940	+	0.544407i	−0.0337843	+	0.0195054i
$780$	0.972211	+	7.66846i	0.0348107	+	0.274575i
$781$	5.43574	−	9.41497i	0.194506	−	0.336894i
$782$	−26.7975	−	7.18037i	−0.958277	−	0.256769i
$783$			7.18647i			0.256823i
$784$	−0.980887	−	1.50346i	−0.0350317	−	0.0536951i
$785$	22.2892	+	22.2892i	0.795536	+	0.795536i
$786$	−0.00409701	+	0.0152903i	−0.000146136	+	0.000545386i
$787$	20.8899	−	5.59744i	0.744646	−	0.199527i	0.133504	−	0.991048i	$-0.457377\pi$
$787$	20.8899	−	5.59744i	0.744646	−	0.199527i	0.611142	+	0.791521i	$0.290710\pi$
$788$	6.43813	+	24.0274i	0.229349	+	0.855942i
$789$	−2.33762	+	1.34963i	−0.0832216	+	0.0480480i
$790$	−0.261877			−0.00931717
$791$	−1.43218	−	52.5687i	−0.0509225	−	1.86913i
$792$			11.1360i			0.395700i
$793$	42.7383	−	17.4633i	1.51768	−	0.620141i
$794$	−9.59773	−	5.54125i	−0.340611	−	0.196652i
$795$	−5.63294	+	1.50934i	−0.199780	+	0.0535308i
$796$	−13.8231	+	7.98078i	−0.489948	+	0.282871i
$797$	0.0755451			0.00267595			0.00133797	−	0.999999i	$-0.499574\pi$
$797$	0.0755451			0.00267595			0.00133797	+	0.999999i	$0.499574\pi$
$798$	−0.495515	−	0.806691i	−0.0175410	−	0.0285566i
$799$	−6.91273	−	6.91273i	−0.244555	−	0.244555i
$800$	−12.5030	−	3.35016i	−0.442047	−	0.118446i
$801$	−7.56797	+	2.02783i	−0.267401	+	0.0716499i
$802$	14.8621	−	25.7420i	0.524800	−	0.908980i
$803$	−14.8485	−	25.7183i	−0.523990	−	0.907578i
$804$	−7.78944	−	7.78944i	−0.274712	−	0.274712i
$805$	6.17374	+	20.7616i	0.217596	+	0.731749i
$806$	19.6600	+	2.68419i	0.692493	+	0.0945465i
$807$	−9.74089	−	16.8717i	−0.342896	−	0.593913i
$808$	−10.7492	−	40.1166i	−0.378156	−	1.41130i
$809$	8.51419	−	14.7470i	0.299343	−	0.518477i	−0.676643	−	0.736311i	$-0.736566\pi$
$809$	8.51419	−	14.7470i	0.299343	−	0.518477i	0.975986	+	0.217834i	$0.0698992\pi$
$810$	0.697391	+	1.20792i	0.0245038	+	0.0424419i
$811$	−35.0136	+	35.0136i	−1.22949	+	1.22949i	−0.265336	+	0.964156i	$0.585483\pi$
$811$	−35.0136	+	35.0136i	−1.22949	+	1.22949i	−0.964156	+	0.265336i	$0.914517\pi$
$812$	11.7051	−	21.6126i	0.410770	−	0.758455i
$813$	17.6718	−	17.6718i	0.619776	−	0.619776i
$814$	−2.77778	−	0.744305i	−0.0973612	−	0.0260879i
$815$	−3.93158	−	2.26990i	−0.137717	−	0.0795111i
$816$	−1.48413	−	0.856862i	−0.0519549	−	0.0299962i
$817$	−1.02967	+	3.84278i	−0.0360236	+	0.134442i
$818$	−5.36117			−0.187449
$819$	8.72910	−	3.84745i	0.305019	−	0.134441i
$820$	−5.48632			−0.191591
$821$	−10.2966	+	38.4273i	−0.359353	+	1.34112i	0.515565	+	0.856851i	$0.327582\pi$
$821$	−10.2966	+	38.4273i	−0.359353	+	1.34112i	−0.874917	+	0.484272i	$0.839084\pi$
$822$	6.62397	+	3.82435i	0.231038	+	0.133390i
$823$	27.4360	+	15.8402i	0.956358	+	0.552154i	0.895050	−	0.445965i	$-0.147140\pi$
$823$	27.4360	+	15.8402i	0.956358	+	0.552154i	0.0613078	+	0.998119i	$0.480473\pi$
$824$	−51.4876	−	13.7961i	−1.79366	−	0.480609i
$825$	−6.39664	+	6.39664i	−0.222703	+	0.222703i
$826$	−0.540448	+	0.0147240i	−0.0188046	+	0.000512313i
$827$	24.1400	−	24.1400i	0.839431	−	0.839431i	−0.149353	−	0.988784i	$-0.547719\pi$
$827$	24.1400	−	24.1400i	0.839431	−	0.839431i	0.988784	+	0.149353i	$0.0477190\pi$
$828$	3.19061	+	5.52630i	0.110881	+	0.192052i
$829$	19.5490	−	33.8599i	0.678965	−	1.17600i	−0.296328	−	0.955086i	$-0.595762\pi$
$829$	19.5490	−	33.8599i	0.678965	−	1.17600i	0.975293	−	0.220916i	$-0.0709047\pi$
$830$	−2.10773	−	7.86617i	−0.0731605	−	0.273039i
$831$	1.17724	+	2.03904i	0.0408380	+	0.0707334i
$832$	−2.11016	+	15.4556i	−0.0731565	+	0.535825i
$833$	−21.1484	+	41.7239i	−0.732748	+	1.44565i
$834$	−12.2042	−	12.2042i	−0.422598	−	0.422598i
$835$	2.68269	+	4.64655i	0.0928382	+	0.160800i
$836$	−1.10589	+	1.91545i	−0.0382479	+	0.0662473i
$837$	−6.32066	+	1.69361i	−0.218474	+	0.0585399i
$838$	5.79633	+	1.55312i	0.200231	+	0.0536517i
$839$	−25.5205	−	25.5205i	−0.881064	−	0.881064i	0.112578	−	0.993643i	$-0.464089\pi$
$839$	−25.5205	−	25.5205i	−0.881064	−	0.881064i	−0.993643	+	0.112578i	$0.964089\pi$
$840$	−0.330915	−	12.1463i	−0.0114177	−	0.419089i
$841$	22.6453			0.780873
$842$	−22.1266	+	12.7748i	−0.762532	+	0.440248i
$843$	−5.29325	+	1.41832i	−0.182309	+	0.0488496i
$844$	−9.23238	−	5.33032i	−0.317792	−	0.183477i
$845$	18.5672	+	10.9584i	0.638732	+	0.376980i
$846$		−	1.23035i		−	0.0423003i
$847$	−7.16127	−	11.6584i	−0.246064	−	0.400589i
$848$	0.901757			0.0309665
$849$	4.34381	−	2.50790i	0.149079	−	0.0860709i
$850$	3.27215	+	12.2118i	0.112234	+	0.418862i
$851$	−4.05442	+	1.08638i	−0.138984	+	0.0372406i
$852$	−0.904497	+	3.37563i	−0.0309875	+	0.115647i
$853$	8.78820	+	8.78820i	0.300902	+	0.300902i	0.841367	−	0.540465i	$-0.181751\pi$
$853$	8.78820	+	8.78820i	0.300902	+	0.300902i	−0.540465	+	0.841367i	$0.681751\pi$
$854$	−27.3104	+	8.12112i	−0.934542	+	0.277899i
$855$			0.705624i			0.0241318i
$856$	5.58961	+	1.49773i	0.191049	+	0.0511914i
$857$	6.45170	−	11.1747i	0.220386	−	0.381720i	−0.734539	−	0.678566i	$-0.762602\pi$
$857$	6.45170	−	11.1747i	0.220386	−	0.381720i	0.954925	+	0.296847i	$0.0959350\pi$
$858$	9.63853	+	7.46955i	0.329054	+	0.255006i
$859$	−9.68533	+	5.59183i	−0.330459	+	0.190791i	−0.656045	−	0.754722i	$-0.727772\pi$
$859$	−9.68533	+	5.59183i	−0.330459	+	0.190791i	0.325586	+	0.945512i	$0.394438\pi$
$860$	−14.1747	+	14.1747i	−0.483354	+	0.483354i
$861$	1.92984	+	6.48982i	0.0657687	+	0.221172i
$862$		−	7.41069i		−	0.252409i
$863$	10.4602	−	39.0381i	0.356070	−	1.32887i	−0.523063	−	0.852294i	$-0.675211\pi$
$863$	10.4602	−	39.0381i	0.356070	−	1.32887i	0.879133	−	0.476577i	$-0.158123\pi$
$864$	−1.48927	−	5.55802i	−0.0506659	−	0.189088i
$865$	0.166866	+	0.622754i	0.00567363	+	0.0211743i
$866$	2.01425	−	7.51729i	0.0684471	−	0.255448i
$867$			27.6559i			0.939244i
$868$	21.7673	+	5.20153i	0.738831	+	0.176552i
$869$	0.533888	−	0.533888i	0.0181109	−	0.0181109i
$870$	8.68065	−	5.01178i	0.294302	−	0.169915i
$871$	−30.4814	+	3.86445i	−1.03282	+	0.130942i
$872$	24.1321	−	41.7981i	0.817217	−	1.41546i
$873$	0.277051	+	0.0742355i	0.00937675	+	0.00251249i
$874$		−	1.76637i		−	0.0597484i
$875$	21.8721	−	23.0972i	0.739411	−	0.780828i
$876$	6.75023	+	6.75023i	0.228069	+	0.228069i
$877$	6.89176	−	25.7204i	0.232718	−	0.868516i	−0.746446	−	0.665446i	$-0.768241\pi$
$877$	6.89176	−	25.7204i	0.232718	−	0.868516i	0.979164	−	0.203070i	$-0.0650918\pi$
$878$	11.7445	−	3.14692i	0.396357	−	0.106203i
$879$	2.75239	+	10.2721i	0.0928359	+	0.346468i
$880$	−1.48118	+	0.855160i	−0.0499306	+	0.0288275i
$881$	−14.3611			−0.483839			−0.241919	−	0.970296i	$-0.577777\pi$
$881$	−14.3611			−0.483839			−0.241919	+	0.970296i	$0.577777\pi$
$882$	−5.59511	+	1.83105i	−0.188397	+	0.0616547i
$883$		−	23.1087i		−	0.777669i	−0.921308	−	0.388834i	$-0.872878\pi$
$883$		−	23.1087i		−	0.777669i	0.921308	−	0.388834i	$-0.127122\pi$
$884$	−28.8323	+	11.7812i	−0.969734	+	0.396243i
$885$	0.348976	+	0.201482i	0.0117307	+	0.00677273i
$886$	16.3265	−	4.37466i	0.548498	−	0.146970i
$887$	9.64202	−	5.56682i	0.323747	−	0.186916i	−0.329314	−	0.944220i	$-0.606818\pi$
$887$	9.64202	−	5.56682i	0.323747	−	0.186916i	0.653062	+	0.757305i	$0.273484\pi$
$888$	2.35468			0.0790180
$889$	−7.96880	+	0.217102i	−0.267265	+	0.00728138i
$890$	7.72729	+	7.72729i	0.259019	+	0.259019i
$891$	−3.88434	−	1.04081i	−0.130130	−	0.0348683i
$892$	0.650298	−	0.174247i	0.0217736	−	0.00583422i
$893$	0.311219	−	0.539047i	0.0104145	−	0.0180385i
$894$	3.51830	+	6.09388i	0.117670	+	0.203810i
$895$	−20.5470	−	20.5470i	−0.686811	−	0.686811i
$896$	−4.83918	+	20.2509i	−0.161666	+	0.676536i
$897$	17.6347	+	2.40768i	0.588806	+	0.0803901i
$898$	11.2815	+	19.5402i	0.376470	+	0.652065i
$899$	12.1711	+	45.4232i	0.405929	+	1.51495i
$900$	1.45398	−	2.51837i	0.0484661	−	0.0839458i
$901$	−11.7489	−	20.3497i	−0.391413	−	0.677947i
$902$	−6.11991	+	6.11991i	−0.203771	+	0.203771i
$903$	21.7534	+	11.7814i	0.723909	+	0.392060i
$904$	−38.9205	+	38.9205i	−1.29448	+	1.29448i
$905$	11.8811	+	3.18353i	0.394941	+	0.105824i
$906$	−17.3815	−	10.0352i	−0.577461	−	0.333398i
$907$	−7.37011	−	4.25514i	−0.244721	−	0.141289i	0.372624	−	0.927982i	$-0.378458\pi$
$907$	−7.37011	−	4.25514i	−0.244721	−	0.141289i	−0.617344	+	0.786693i	$0.711792\pi$
$908$	−5.12660	+	19.1327i	−0.170132	+	0.634942i
$909$	14.9977			0.497443
$910$	−10.7350	−	7.86085i	−0.355861	−	0.260584i
$911$	−0.840345			−0.0278419			−0.0139209	−	0.999903i	$-0.504431\pi$
$911$	−0.840345			−0.0278419			−0.0139209	+	0.999903i	$0.504431\pi$
$912$	0.0282402	−	0.105394i	0.000935127	−	0.00348994i
$913$	20.3338	+	11.7397i	0.672949	+	0.388527i
$914$	−4.47462	−	2.58342i	−0.148007	−	0.0854520i
$915$	20.5126	+	5.49634i	0.678126	+	0.181703i
$916$	5.31709	−	5.31709i	0.175682	−	0.175682i
$917$	0.0260646	+	0.0424327i	0.000860727	+	0.00140125i
$918$	−3.97400	+	3.97400i	−0.131162	+	0.131162i
$919$	−10.3484	−	17.9240i	−0.341364	−	0.591259i	0.643323	−	0.765595i	$-0.277555\pi$
$919$	−10.3484	−	17.9240i	−0.341364	−	0.591259i	−0.984686	+	0.174336i	$0.944222\pi$
$920$	11.3354	−	19.6334i	0.373716	−	0.647294i
$921$	−5.80164	−	21.6520i	−0.191171	−	0.713458i
$922$	0.376031	+	0.651305i	0.0123839	+	0.0214496i
$923$	5.89669	+	7.76144i	0.194092	+	0.255471i
$924$	9.98657	+	9.45685i	0.328534	+	0.311107i
$925$	1.35256	+	1.35256i	0.0444718	+	0.0444718i
$926$	−2.65819	−	4.60412i	−0.0873536	−	0.151301i
$927$	9.62441	−	16.6700i	0.316107	−	0.547514i
$928$	−39.9425	+	10.7026i	−1.31118	+	0.351329i
$929$	−6.12239	−	1.64049i	−0.200869	−	0.0538227i	0.156982	−	0.987602i	$-0.449824\pi$
$929$	−6.12239	−	1.64049i	−0.200869	−	0.0538227i	−0.357851	+	0.933779i	$0.616490\pi$
$930$	6.45371	+	6.45371i	0.211626	+	0.211626i
$931$	−2.91452	−	0.613062i	−0.0955196	−	0.0200923i
$932$	−9.90907			−0.324582
$933$	4.26901	−	2.46471i	0.139761	−	0.0806911i
$934$	10.6217	−	2.84607i	0.347551	−	0.0931261i
$935$	38.5964	+	22.2836i	1.26224	+	0.728753i
$936$	−9.20607	−	3.86506i	−0.300910	−	0.126334i
$937$			18.2047i			0.594720i	0.954765	+	0.297360i	$0.0961062\pi$
$937$			18.2047i			0.594720i	−0.954765	+	0.297360i	$0.903894\pi$
$938$	18.9547	−	0.516402i	0.618893	−	0.0168611i
$939$	4.04770			0.132092
$940$	2.71616	−	1.56817i	0.0885912	−	0.0511482i
$941$	3.78203	+	14.1147i	0.123291	+	0.460127i	0.999773	−	0.0213073i	$-0.00678284\pi$
$941$	3.78203	+	14.1147i	0.123291	+	0.460127i	−0.876482	+	0.481434i	$0.840116\pi$
$942$	−15.4402	+	4.13720i	−0.503070	+	0.134797i
$943$	−3.26954	+	12.2021i	−0.106471	+	0.397354i
$944$	−0.0440604	−	0.0440604i	−0.00143404	−	0.00143404i
$945$	4.26769	+	1.01981i	0.138828	+	0.0331745i
$946$			31.6234i			1.02816i
$947$	−22.7837	−	6.10489i	−0.740372	−	0.198382i	−0.131129	−	0.991365i	$-0.541860\pi$
$947$	−22.7837	−	6.10489i	−0.740372	−	0.198382i	−0.609243	+	0.792983i	$0.708527\pi$
$948$	−0.121355	+	0.210193i	−0.00394142	+	0.00682674i
$949$	26.4148	−	3.34888i	0.857459	−	0.108709i
$950$	−0.697105	+	0.402474i	−0.0226171	+	0.0130580i
$951$	−23.0124	+	23.0124i	−0.746228	+	0.746228i
$952$	46.9293	−	13.9551i	1.52099	−	0.452287i
$953$			13.2060i			0.427783i	0.976857	+	0.213892i	$0.0686139\pi$
$953$			13.2060i			0.427783i	−0.976857	+	0.213892i	$0.931386\pi$
$954$	0.765399	−	2.85651i	0.0247807	−	0.0924829i
$955$	−7.41367	−	27.6682i	−0.239901	−	0.895321i
$956$	−0.310468	−	1.15868i	−0.0100413	−	0.0374745i
$957$	−7.47972	+	27.9147i	−0.241785	+	0.902354i
$958$		−	2.09021i		−	0.0675316i
$959$	23.0640	−	6.85839i	0.744774	−	0.221469i
$960$	−5.07354	+	5.07354i	−0.163748	+	0.163748i
$961$	−10.2356	+	5.90951i	−0.330180	+	0.190629i
$962$	1.57942	−	2.03805i	0.0509226	−	0.0657093i
$963$	−1.04485	+	1.80973i	−0.0336697	+	0.0583177i
$964$	−0.623123	−	0.166965i	−0.0200694	−	0.00537759i
$965$		−	26.9521i		−	0.867620i
$966$	−10.6832	−	2.55287i	−0.343726	−	0.0821371i
$967$	−28.5716	−	28.5716i	−0.918801	−	0.918801i	0.0781414	−	0.996942i	$-0.475101\pi$
$967$	−28.5716	−	28.5716i	−0.918801	−	0.918801i	−0.996942	+	0.0781414i	$0.975101\pi$
$968$	−3.70645	+	13.8327i	−0.119130	+	0.444599i
$969$	−2.74634	+	0.735879i	−0.0882251	+	0.0236398i
$970$	−0.103542	−	0.386425i	−0.00332455	−	0.0124074i
$971$	33.6673	−	19.4378i	1.08043	−	0.623789i	0.149421	−	0.988774i	$-0.452259\pi$
$971$	33.6673	−	19.4378i	1.08043	−	0.623789i	0.931014	+	0.364984i	$0.118926\pi$
$972$	1.29269			0.0414632
$973$	−54.2763	+	1.47870i	−1.74002	+	0.0474051i
$974$			17.0253i			0.545524i
$975$	−3.06794	−	7.50821i	−0.0982526	−	0.240455i
$976$	−2.84385	−	1.64190i	−0.0910293	−	0.0525558i
$977$	25.1772	−	6.74620i	0.805489	−	0.215830i	0.167496	−	0.985873i	$-0.446432\pi$
$977$	25.1772	−	6.74620i	0.805489	−	0.215830i	0.637992	+	0.770043i	$0.279765\pi$
$978$	1.99374	−	1.15108i	0.0637527	−	0.0368076i
$979$	−31.5072			−1.00697
$980$	−11.1737	−	10.0181i	−0.356929	−	0.320017i
$981$	12.3241	+	12.3241i	0.393479	+	0.393479i
$982$	−23.9685	−	6.42234i	−0.764866	−	0.204945i
$983$	−48.8972	+	13.1020i	−1.55958	+	0.417888i	−0.932530	−	0.361093i	$-0.882404\pi$
$983$	−48.8972	+	13.1020i	−1.55958	+	0.417888i	−0.627048	+	0.778981i	$0.715737\pi$
$984$	3.54330	−	6.13717i	0.112956	−	0.195646i
$985$	15.9566	+	27.6376i	0.508420	+	0.880608i
$986$	28.5590	+	28.5590i	0.909505	+	0.909505i
$987$	−2.81042	−	2.66135i	−0.0894568	−	0.0847117i
$988$	−1.19966	−	1.57904i	−0.0381664	−	0.0502361i
$989$	23.0786	+	39.9732i	0.733855	+	1.27108i
$990$	1.45170	+	5.41781i	0.0461380	+	0.172189i
$991$	9.78155	−	16.9421i	0.310721	−	0.538185i	−0.667797	−	0.744343i	$-0.732763\pi$
$991$	9.78155	−	16.9421i	0.310721	−	0.538185i	0.978519	+	0.206158i	$0.0660961\pi$
$992$	−18.8263	−	32.6081i	−0.597735	−	1.03531i
$993$	11.8502	−	11.8502i	0.376055	−	0.376055i
$994$	−3.14848	−	5.12568i	−0.0998637	−	0.162577i
$995$	−14.4800	+	14.4800i	−0.459046	+	0.459046i
$996$	−7.29043	−	1.95346i	−0.231006	−	0.0618979i
$997$	46.9304	+	27.0953i	1.48630	+	0.858117i	0.999878	−	0.0156066i	$-0.00496794\pi$
$997$	46.9304	+	27.0953i	1.48630	+	0.858117i	0.486423	+	0.873723i	$0.338301\pi$
$998$	14.8104	+	8.55077i	0.468814	+	0.270670i
$999$	−0.220076	+	0.821337i	−0.00696291	+	0.0259859i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.bz.b.73.6	yes	36
3.2	odd	2		819.2.fn.g.73.4		36
7.5	odd	6		273.2.bz.a.229.4	yes	36
13.5	odd	4		273.2.bz.a.31.4	✓	36
21.5	even	6		819.2.fn.f.775.6		36
39.5	even	4		819.2.fn.f.577.6		36
91.5	even	12	inner	273.2.bz.b.187.6	yes	36
273.5	odd	12		819.2.fn.g.460.4		36

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.bz.a.31.4	✓	36	13.5	odd	4
273.2.bz.a.229.4	yes	36	7.5	odd	6
273.2.bz.b.73.6	yes	36	1.1	even	1	trivial
273.2.bz.b.187.6	yes	36	91.5	even	12	inner
819.2.fn.f.577.6		36	39.5	even	4
819.2.fn.f.775.6		36	21.5	even	6
819.2.fn.g.73.4		36	3.2	odd	2
819.2.fn.g.460.4		36	273.5	odd	12

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:	\( N \)	\(=\)	\( 273 = 3 \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	273.bz (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.217671 - 0.812358i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(1.11951 + 0.646347i) q^{4} +(1.60194 + 0.429239i) q^{5} +(-0.594687 + 0.594687i) q^{6} +(0.0720542 + 2.64477i) q^{7} +(1.95812 - 1.95812i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})\)	\(q+(0.217671 - 0.812358i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(1.11951 + 0.646347i) q^{4} +(1.60194 + 0.429239i) q^{5} +(-0.594687 + 0.594687i) q^{6} +(0.0720542 + 2.64477i) q^{7} +(1.95812 - 1.95812i) q^{8} +(0.500000 + 0.866025i) q^{9} +(0.697391 - 1.20792i) q^{10} +(1.04081 + 3.88434i) q^{11} +(-0.646347 - 1.11951i) q^{12} +(-3.57241 - 0.487743i) q^{13} +(2.16418 + 0.517155i) q^{14} +(-1.17270 - 1.17270i) q^{15} +(0.128225 + 0.222091i) q^{16} +(3.34125 - 5.78722i) q^{17} +(0.812358 - 0.217671i) q^{18} +(0.410974 + 0.110120i) q^{19} +(1.51595 + 1.51595i) q^{20} +(1.25998 - 2.32647i) q^{21} +3.38203 q^{22} +(4.27502 - 2.46818i) q^{23} +(-2.67485 + 0.716723i) q^{24} +(-1.94816 - 1.12477i) q^{25} +(-1.17383 + 2.79591i) q^{26} -1.00000i q^{27} +(-1.62877 + 3.00741i) q^{28} -7.18647 q^{29} +(-1.20792 + 0.697391i) q^{30} +(-1.69361 - 6.32066i) q^{31} +(5.55802 - 1.48927i) q^{32} +(1.04081 - 3.88434i) q^{33} +(-3.97400 - 3.97400i) q^{34} +(-1.01981 + 4.26769i) q^{35} +1.29269i q^{36} +(-0.821337 - 0.220076i) q^{37} +(0.178914 - 0.309888i) q^{38} +(2.84993 + 2.20860i) q^{39} +(3.97730 - 2.29630i) q^{40} +(-1.80954 + 1.80954i) q^{41} +(-1.61566 - 1.52996i) q^{42} +9.35042i q^{43} +(-1.34544 + 5.02127i) q^{44} +(0.429239 + 1.60194i) q^{45} +(-1.07450 - 4.01010i) q^{46} +(0.378636 - 1.41309i) q^{47} -0.256449i q^{48} +(-6.98962 + 0.381134i) q^{49} +(-1.33777 + 1.33777i) q^{50} +(-5.78722 + 3.34125i) q^{51} +(-3.68408 - 2.85505i) q^{52} +(1.75816 - 3.04522i) q^{53} +(-0.812358 - 0.217671i) q^{54} +6.66924i q^{55} +(5.31988 + 5.03769i) q^{56} +(-0.300854 - 0.300854i) q^{57} +(-1.56428 + 5.83798i) q^{58} +(-0.234696 + 0.0628867i) q^{59} +(-0.554875 - 2.07082i) q^{60} +(-11.0893 + 6.40242i) q^{61} -5.50328 q^{62} +(-2.25441 + 1.38479i) q^{63} -4.32637i q^{64} +(-5.51343 - 2.31475i) q^{65} +(-2.92892 - 1.69101i) q^{66} +(8.23132 - 2.20557i) q^{67} +(7.48111 - 4.31922i) q^{68} -4.93637 q^{69} +(3.24491 + 1.75740i) q^{70} +(-1.91161 - 1.91161i) q^{71} +(2.67485 + 0.716723i) q^{72} +(-7.13315 + 1.91132i) q^{73} +(-0.357562 + 0.619315i) q^{74} +(1.12477 + 1.94816i) q^{75} +(0.388912 + 0.388912i) q^{76} +(-10.1982 + 3.03258i) q^{77} +(2.41452 - 1.83441i) q^{78} +(-0.0938774 - 0.162600i) q^{79} +(0.110078 + 0.410816i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(1.07611 + 1.86387i) q^{82} +(4.12856 - 4.12856i) q^{83} +(2.91427 - 1.79011i) q^{84} +(7.83659 - 7.83659i) q^{85} +(7.59589 + 2.03531i) q^{86} +(6.22366 + 3.59323i) q^{87} +(9.64404 + 5.56799i) q^{88} +(-2.02783 + 7.56797i) q^{89} +1.39478 q^{90} +(1.03256 - 9.48334i) q^{91} +6.38122 q^{92} +(-1.69361 + 6.32066i) q^{93} +(-1.06551 - 0.615175i) q^{94} +(0.611089 + 0.352812i) q^{95} +(-5.55802 - 1.48927i) q^{96} +(0.202815 - 0.202815i) q^{97} +(-1.21182 + 5.76103i) q^{98} +(-2.84354 + 2.84354i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 36 q + 4 q^{7} + 18 q^{9}+O(q^{10}) \) 36 * q + 4 * q^7 + 18 * q^9	\( 36 q + 4 q^{7} + 18 q^{9} + 4 q^{11} + 16 q^{12} - 36 q^{14} + 12 q^{16} - 4 q^{17} - 12 q^{19} - 44 q^{20} + 6 q^{21} - 8 q^{22} + 12 q^{23} - 18 q^{24} + 48 q^{25} - 28 q^{26} + 12 q^{28} - 16 q^{29} - 56 q^{32} + 4 q^{33} + 48 q^{34} + 8 q^{35} + 22 q^{37} - 16 q^{38} - 8 q^{39} + 60 q^{40} + 32 q^{41} + 12 q^{42} + 4 q^{44} - 44 q^{46} - 14 q^{47} - 6 q^{49} - 68 q^{50} + 12 q^{51} - 82 q^{52} - 8 q^{53} + 8 q^{56} - 6 q^{57} - 84 q^{58} + 70 q^{59} + 2 q^{60} + 36 q^{61} - 48 q^{62} + 2 q^{63} - 8 q^{65} + 38 q^{67} + 36 q^{68} + 8 q^{69} - 40 q^{70} - 36 q^{71} + 18 q^{72} - 46 q^{73} + 40 q^{74} - 10 q^{75} + 60 q^{76} - 60 q^{77} + 32 q^{78} - 38 q^{80} - 18 q^{81} - 24 q^{83} + 38 q^{84} + 44 q^{85} - 24 q^{86} + 36 q^{87} - 168 q^{88} + 38 q^{89} - 14 q^{91} - 40 q^{92} + 56 q^{96} - 36 q^{97} + 58 q^{98} + 8 q^{99}+O(q^{100}) \) 36 * q + 4 * q^7 + 18 * q^9 + 4 * q^11 + 16 * q^12 - 36 * q^14 + 12 * q^16 - 4 * q^17 - 12 * q^19 - 44 * q^20 + 6 * q^21 - 8 * q^22 + 12 * q^23 - 18 * q^24 + 48 * q^25 - 28 * q^26 + 12 * q^28 - 16 * q^29 - 56 * q^32 + 4 * q^33 + 48 * q^34 + 8 * q^35 + 22 * q^37 - 16 * q^38 - 8 * q^39 + 60 * q^40 + 32 * q^41 + 12 * q^42 + 4 * q^44 - 44 * q^46 - 14 * q^47 - 6 * q^49 - 68 * q^50 + 12 * q^51 - 82 * q^52 - 8 * q^53 + 8 * q^56 - 6 * q^57 - 84 * q^58 + 70 * q^59 + 2 * q^60 + 36 * q^61 - 48 * q^62 + 2 * q^63 - 8 * q^65 + 38 * q^67 + 36 * q^68 + 8 * q^69 - 40 * q^70 - 36 * q^71 + 18 * q^72 - 46 * q^73 + 40 * q^74 - 10 * q^75 + 60 * q^76 - 60 * q^77 + 32 * q^78 - 38 * q^80 - 18 * q^81 - 24 * q^83 + 38 * q^84 + 44 * q^85 - 24 * q^86 + 36 * q^87 - 168 * q^88 + 38 * q^89 - 14 * q^91 - 40 * q^92 + 56 * q^96 - 36 * q^97 + 58 * q^98 + 8 * q^99

Introduction

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