LMFDB - Embedded newform 273.2.bz.a.31.4

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			31.4
Character	$\chi$	$=$	273.31
Dual form			273.2.bz.a.229.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.812358 - 0.217671i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(-1.11951 - 0.646347i) q^{4} +(0.429239 - 1.60194i) q^{5} +(0.594687 + 0.594687i) q^{6} +(-2.64477 + 0.0720542i) q^{7} +(1.95812 + 1.95812i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})$	\(q+(-0.812358 - 0.217671i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(-1.11951 - 0.646347i) q^{4} +(0.429239 - 1.60194i) q^{5} +(0.594687 + 0.594687i) q^{6} +(-2.64477 + 0.0720542i) q^{7} +(1.95812 + 1.95812i) q^{8} +(0.500000 + 0.866025i) q^{9} +(-0.697391 + 1.20792i) q^{10} +(-3.88434 + 1.04081i) 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} +(-0.217671 - 0.812358i) q^{18} +(0.110120 - 0.410974i) q^{19} +(-1.51595 + 1.51595i) q^{20} +(2.32647 + 1.25998i) q^{21} +3.38203 q^{22} +(-4.27502 + 2.46818i) q^{23} +(-0.716723 - 2.67485i) q^{24} +(1.94816 + 1.12477i) q^{25} +(-3.00824 - 0.381386i) q^{26} -1.00000i q^{27} +(3.00741 + 1.62877i) q^{28} -7.18647 q^{29} +(1.20792 - 0.697391i) q^{30} +(-6.32066 + 1.69361i) q^{31} +(-1.48927 - 5.55802i) q^{32} +(3.88434 + 1.04081i) q^{33} +(3.97400 - 3.97400i) q^{34} +(-1.01981 + 4.26769i) q^{35} -1.29269i q^{36} +(0.220076 - 0.821337i) q^{37} +(-0.178914 + 0.309888i) q^{38} +(-3.33767 - 1.36381i) q^{39} +(3.97730 - 2.29630i) q^{40} +(1.80954 + 1.80954i) q^{41} +(-1.61566 - 1.52996i) q^{42} -9.35042i q^{43} +(5.02127 + 1.34544i) q^{44} +(1.60194 - 0.429239i) q^{45} +(4.01010 - 1.07450i) q^{46} +(1.41309 + 0.378636i) q^{47} -0.256449i q^{48} +(6.98962 - 0.381134i) q^{49} +(-1.33777 - 1.33777i) q^{50} +(5.78722 - 3.34125i) q^{51} +(-4.31459 - 1.76299i) q^{52} +(1.75816 - 3.04522i) q^{53} +(-0.217671 + 0.812358i) q^{54} +6.66924i q^{55} +(-5.31988 - 5.03769i) q^{56} +(-0.300854 + 0.300854i) q^{57} +(5.83798 + 1.56428i) q^{58} +(-0.0628867 - 0.234696i) q^{59} +(2.07082 - 0.554875i) q^{60} +(-11.0893 + 6.40242i) q^{61} +5.50328 q^{62} +(-1.38479 - 2.25441i) q^{63} +4.32637i q^{64} +(0.752081 - 5.93215i) q^{65} +(-2.92892 - 1.69101i) q^{66} +(-2.20557 - 8.23132i) q^{67} +(7.48111 - 4.31922i) q^{68} +4.93637 q^{69} +(1.75740 - 3.24491i) q^{70} +(-1.91161 + 1.91161i) q^{71} +(-0.716723 + 2.67485i) q^{72} +(-1.91132 - 7.13315i) 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} +(0.410816 - 0.110078i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(-1.07611 - 1.86387i) q^{82} +(-4.12856 - 4.12856i) q^{83} +(-1.79011 - 2.91427i) q^{84} +(7.83659 + 7.83659i) q^{85} +(-2.03531 + 7.59589i) q^{86} +(6.22366 + 3.59323i) q^{87} +(-9.64404 - 5.56799i) q^{88} +(-7.56797 - 2.02783i) q^{89} -1.39478 q^{90} +(-9.41306 + 1.54738i) q^{91} +6.38122 q^{92} +(6.32066 + 1.69361i) q^{93} +(-1.06551 - 0.615175i) q^{94} +(-0.611089 - 0.352812i) q^{95} +(-1.48927 + 5.55802i) q^{96} +(-0.202815 - 0.202815i) q^{97} +(-5.76103 - 1.21182i) q^{98} +(-2.84354 - 2.84354i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 36 q - 6 q^{7} + 18 q^{9}+O(q^{10}) $ 36 * q - 6 * q^7 + 18 * q^9	$ 36 q - 6 q^{7} + 18 q^{9} + 4 q^{11} - 16 q^{12} - 36 q^{14} + 12 q^{16} + 4 q^{17} - 18 q^{19} + 44 q^{20} + 2 q^{21} - 8 q^{22} - 12 q^{23} - 18 q^{24} - 48 q^{25} - 32 q^{26} + 4 q^{28} - 16 q^{29} - 6 q^{31} + 76 q^{32} - 4 q^{33} - 48 q^{34} + 8 q^{35} - 8 q^{37} + 16 q^{38} + 10 q^{39} + 60 q^{40} - 32 q^{41} + 12 q^{42} + 4 q^{44} + 28 q^{46} + 14 q^{47} + 6 q^{49} - 68 q^{50} - 12 q^{51} - 62 q^{52} - 8 q^{53} - 8 q^{56} - 6 q^{57} + 36 q^{58} + 26 q^{59} - 46 q^{60} + 36 q^{61} + 48 q^{62} - 8 q^{65} - 40 q^{67} + 36 q^{68} - 8 q^{69} - 64 q^{70} - 36 q^{71} - 18 q^{72} - 8 q^{73} + 40 q^{74} + 10 q^{75} - 60 q^{76} + 60 q^{77} + 32 q^{78} + 26 q^{80} - 18 q^{81} + 24 q^{83} - 18 q^{84} + 44 q^{85} + 48 q^{86} + 36 q^{87} + 168 q^{88} + 10 q^{89} + 4 q^{91} - 40 q^{92} + 6 q^{93} + 76 q^{96} + 36 q^{97} + 38 q^{98} + 8 q^{99}+O(q^{100}) $ 36 * q - 6 * q^7 + 18 * q^9 + 4 * q^11 - 16 * q^12 - 36 * q^14 + 12 * q^16 + 4 * q^17 - 18 * q^19 + 44 * q^20 + 2 * q^21 - 8 * q^22 - 12 * q^23 - 18 * q^24 - 48 * q^25 - 32 * q^26 + 4 * q^28 - 16 * q^29 - 6 * q^31 + 76 * q^32 - 4 * q^33 - 48 * q^34 + 8 * q^35 - 8 * q^37 + 16 * q^38 + 10 * q^39 + 60 * q^40 - 32 * q^41 + 12 * q^42 + 4 * q^44 + 28 * q^46 + 14 * q^47 + 6 * q^49 - 68 * q^50 - 12 * q^51 - 62 * q^52 - 8 * q^53 - 8 * q^56 - 6 * q^57 + 36 * q^58 + 26 * q^59 - 46 * q^60 + 36 * q^61 + 48 * q^62 - 8 * q^65 - 40 * q^67 + 36 * q^68 - 8 * q^69 - 64 * q^70 - 36 * q^71 - 18 * q^72 - 8 * q^73 + 40 * q^74 + 10 * q^75 - 60 * q^76 + 60 * q^77 + 32 * q^78 + 26 * q^80 - 18 * q^81 + 24 * q^83 - 18 * q^84 + 44 * q^85 + 48 * q^86 + 36 * q^87 + 168 * q^88 + 10 * q^89 + 4 * q^91 - 40 * q^92 + 6 * q^93 + 76 * q^96 + 36 * q^97 + 38 * q^98 + 8 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$92$	$106$	$157$
$\chi(n)$	$1$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{1}{6}\right)$

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 $

$2$	−0.812358	−	0.217671i	−0.574424	−	0.153916i	−0.0400990	−	0.999196i	$-0.512767\pi$
$2$	−0.812358	−	0.217671i	−0.574424	−	0.153916i	−0.534325	+	0.845279i	$0.679434\pi$
$3$	−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
$5$	0.429239	−	1.60194i	0.191961	−	0.716410i	−0.801071	−	0.598569i	$-0.795736\pi$
$5$	0.429239	−	1.60194i	0.191961	−	0.716410i	0.993033	−	0.117841i	$-0.0375972\pi$
$6$	0.594687	+	0.594687i	0.242780	+	0.242780i
$7$	−2.64477	+	0.0720542i	−0.999629	+	0.0272339i
$7$	−2.64477	+	0.0720542i	−0.999629	+	0.0272339i
$8$	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
$11$	−3.88434	+	1.04081i	−1.17117	+	0.313815i	−0.791420	−	0.611273i	$-0.790658\pi$
$11$	−3.88434	+	1.04081i	−1.17117	+	0.313815i	−0.379753	+	0.925088i	$0.623991\pi$
$12$	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	$0.467402\pi$
$17$	−3.34125	+	5.78722i	−0.810373	+	1.40361i	−0.912603	+	0.408847i	$0.865931\pi$
$18$	−0.217671	−	0.812358i	−0.0513054	−	0.191475i
$19$	0.110120	−	0.410974i	0.0252633	−	0.0942840i	−0.952143	−	0.305653i	$-0.901125\pi$
$19$	0.110120	−	0.410974i	0.0252633	−	0.0942840i	0.977406	+	0.211369i	$0.0677921\pi$
$20$	−1.51595	+	1.51595i	−0.338976	+	0.338976i
$21$	2.32647	+	1.25998i	0.507676	+	0.274951i
$22$	3.38203			0.721051
$23$	−4.27502	+	2.46818i	−0.891403	+	0.514652i	−0.874401	−	0.485204i	$-0.838745\pi$
$23$	−4.27502	+	2.46818i	−0.891403	+	0.514652i	−0.0170020	+	0.999855i	$0.505412\pi$
$24$	−0.716723	−	2.67485i	−0.146300	−	0.546001i
$25$	1.94816	+	1.12477i	0.389632	+	0.224954i
$26$	−3.00824	−	0.381386i	−0.589965	−	0.0747960i
$27$		−	1.00000i		−	0.192450i
$28$	3.00741	+	1.62877i	0.568347	+	0.307810i
$29$	−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
$31$	−6.32066	+	1.69361i	−1.13522	+	0.304182i	−0.777029	−	0.629465i	$-0.783274\pi$
$31$	−6.32066	+	1.69361i	−1.13522	+	0.304182i	−0.358194	+	0.933647i	$0.616607\pi$
$32$	−1.48927	−	5.55802i	−0.263268	−	0.982528i
$33$	3.88434	+	1.04081i	0.676177	+	0.181181i
$34$	3.97400	−	3.97400i	0.681536	−	0.681536i
$35$	−1.01981	+	4.26769i	−0.172380	+	0.721372i
$36$		−	1.29269i		−	0.215449i
$37$	0.220076	−	0.821337i	0.0361804	−	0.135027i	−0.945473	−	0.325700i	$-0.894400\pi$
$37$	0.220076	−	0.821337i	0.0361804	−	0.135027i	0.981654	+	0.190673i	$0.0610669\pi$
$38$	−0.178914	+	0.309888i	−0.0290237	+	0.0502705i
$39$	−3.33767	−	1.36381i	−0.534455	−	0.218384i
$40$	3.97730	−	2.29630i	0.628866	−	0.363076i
$41$	1.80954	+	1.80954i	0.282602	+	0.282602i	0.834146	−	0.551544i	$-0.185961\pi$
$41$	1.80954	+	1.80954i	0.282602	+	0.282602i	−0.551544	+	0.834146i	$0.685961\pi$
$42$	−1.61566	−	1.52996i	−0.249302	−	0.236078i
$43$		−	9.35042i		−	1.42593i	−0.701202	−	0.712963i	$-0.747353\pi$
$43$		−	9.35042i		−	1.42593i	0.701202	−	0.712963i	$-0.252647\pi$
$44$	5.02127	+	1.34544i	0.756985	+	0.202833i
$45$	1.60194	−	0.429239i	0.238803	−	0.0639871i
$46$	4.01010	−	1.07450i	0.591256	−	0.158427i
$47$	1.41309	+	0.378636i	0.206120	+	0.0552297i	0.360402	−	0.932797i	$-0.382640\pi$
$47$	1.41309	+	0.378636i	0.206120	+	0.0552297i	−0.154282	+	0.988027i	$0.549306\pi$
$48$		−	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
$52$	−4.31459	−	1.76299i	−0.598326	−	0.244482i
$53$	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	$0.0890267\pi$
$54$	−0.217671	+	0.812358i	−0.0296212	+	0.110548i
$55$			6.66924i			0.899280i
$56$	−5.31988	−	5.03769i	−0.710898	−	0.673190i
$57$	−0.300854	+	0.300854i	−0.0398491	+	0.0398491i
$58$	5.83798	+	1.56428i	0.766565	+	0.205400i
$59$	−0.0628867	−	0.234696i	−0.00818715	−	0.0305549i	0.961711	−	0.274064i	$-0.0883680\pi$
$59$	−0.0628867	−	0.234696i	−0.00818715	−	0.0305549i	−0.969899	+	0.243509i	$0.921701\pi$
$60$	2.07082	−	0.554875i	0.267342	−	0.0716340i
$61$	−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
$63$	−1.38479	−	2.25441i	−0.174467	−	0.284029i
$64$			4.32637i			0.540796i
$65$	0.752081	−	5.93215i	0.0932842	−	0.735792i
$66$	−2.92892	−	1.69101i	−0.360525	−	0.208149i
$67$	−2.20557	−	8.23132i	−0.269454	−	1.00562i	−0.959468	−	0.281819i	$-0.909062\pi$
$67$	−2.20557	−	8.23132i	−0.269454	−	1.00562i	0.690014	−	0.723796i	$-0.257604\pi$
$68$	7.48111	−	4.31922i	0.907218	−	0.523783i
$69$	4.93637			0.594269
$70$	1.75740	−	3.24491i	0.210050	−	0.387841i
$71$	−1.91161	+	1.91161i	−0.226867	+	0.226867i	−0.811382	−	0.584516i	$-0.801285\pi$
$71$	−1.91161	+	1.91161i	−0.226867	+	0.226867i	0.584516	+	0.811382i	$0.301285\pi$
$72$	−0.716723	+	2.67485i	−0.0844666	+	0.315234i
$73$	−1.91132	−	7.13315i	−0.223703	−	0.834872i	−0.982920	−	0.184034i	$-0.941084\pi$
$73$	−1.91132	−	7.13315i	−0.223703	−	0.834872i	0.759217	−	0.650838i	$-0.225582\pi$
$74$	−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	$0.836695\pi$
$80$	0.410816	−	0.110078i	0.0459307	−	0.0123071i
$81$	−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	$-0.353830\pi$
$83$	−4.12856	−	4.12856i	−0.453168	−	0.453168i	−0.896405	+	0.443237i	$0.853830\pi$
$84$	−1.79011	−	2.91427i	−0.195316	−	0.317972i
$85$	7.83659	+	7.83659i	0.849998	+	0.849998i
$86$	−2.03531	+	7.59589i	−0.219473	+	0.819085i
$87$	6.22366	+	3.59323i	0.667247	+	0.385235i
$88$	−9.64404	−	5.56799i	−1.02806	−	0.593550i
$89$	−7.56797	−	2.02783i	−0.802203	−	0.214950i	−0.165652	−	0.986184i	$-0.552973\pi$
$89$	−7.56797	−	2.02783i	−0.802203	−	0.214950i	−0.636551	+	0.771234i	$0.719640\pi$
$90$	−1.39478			−0.147023
$91$	−9.41306	+	1.54738i	−0.986756	+	0.162209i
$92$	6.38122			0.665288
$93$	6.32066	+	1.69361i	0.655422	+	0.175620i
$94$	−1.06551	−	0.615175i	−0.109899	−	0.0634505i
$95$	−0.611089	−	0.352812i	−0.0626964	−	0.0361978i
$96$	−1.48927	+	5.55802i	−0.151998	+	0.567263i
$97$	−0.202815	−	0.202815i	−0.0205928	−	0.0205928i	0.696735	−	0.717328i	$-0.254635\pi$
$97$	−0.202815	−	0.202815i	−0.0205928	−	0.0205928i	−0.717328	+	0.696735i	$0.754635\pi$
$98$	−5.76103	−	1.21182i	−0.581952	−	0.122412i
$99$	−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	$0.434774\pi$
$101$	−7.49887	+	12.9884i	−0.746165	+	1.29240i	−0.949648	+	0.313317i	$0.898560\pi$
$102$	−5.42859	+	1.45459i	−0.537510	+	0.144025i
$103$	9.62441	+	16.6700i	0.948322	+	1.64254i	0.748960	+	0.662616i	$0.230554\pi$
$103$	9.62441	+	16.6700i	0.948322	+	1.64254i	0.199362	+	0.979926i	$0.436113\pi$
$104$	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
$109$	−4.51094	−	16.8351i	−0.432070	−	1.61251i	−0.747983	−	0.663718i	$-0.768977\pi$
$109$	−4.51094	−	16.8351i	−0.432070	−	1.61251i	0.315913	−	0.948788i	$-0.397689\pi$
$110$	1.45170	−	5.41781i	0.138414	−	0.516568i
$111$	−0.601260	+	0.601260i	−0.0570691	+	0.0570691i
$112$	−0.355127	−	0.578142i	−0.0335563	−	0.0546292i
$113$	−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
$115$	2.11888	+	7.90777i	0.197587	+	0.737403i
$116$	8.04530	+	4.64495i	0.746987	+	0.431273i
$117$	2.20860	+	2.84993i	0.204185	+	0.263476i
$118$			0.204346i			0.0188116i
$119$	8.41986	−	15.5466i	0.771847	−	1.42516i
$120$	−4.59259			−0.419244
$121$	4.47855	−	2.58569i	0.407141	−	0.235063i
$122$	10.4021	−	2.78724i	0.941763	−	0.252345i
$123$	−0.662337	−	2.47187i	−0.0597209	−	0.222881i
$124$	8.17068	+	2.18933i	0.733749	+	0.196607i
$125$	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	$-0.957320\pi$
$127$		−	3.01304i		−	0.267364i	0.991024	−	0.133682i	$-0.0426801\pi$
$128$	−2.03681	+	7.60148i	−0.180030	+	0.671882i
$129$	−4.67521	+	8.09770i	−0.411629	+	0.712963i
$130$	−1.90221	+	4.65532i	−0.166835	+	0.408298i
$131$	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
$135$	−1.60194	−	0.429239i	−0.137873	−	0.0369430i
$136$	−17.8747	+	4.78951i	−1.53274	+	0.410697i
$137$	8.78473	−	2.35386i	0.750530	−	0.201104i	0.136777	−	0.990602i	$-0.456326\pi$
$137$	8.78473	−	2.35386i	0.750530	−	0.201104i	0.613753	+	0.789498i	$0.289659\pi$
$138$	−4.01010	−	1.07450i	−0.341362	−	0.0914677i
$139$			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
$143$	−13.3688	+	5.61275i	−1.11796	+	0.469361i
$144$	−0.128225	+	0.222091i	−0.0106854	+	0.0185076i
$145$	−3.08471	+	11.5123i	−0.256171	+	0.956044i
$146$			6.21071i			0.514002i
$147$	−6.24375	−	3.16474i	−0.514976	−	0.261023i
$148$	−0.777246	+	0.777246i	−0.0638892	+	0.0638892i
$149$	−8.08172	−	2.16549i	−0.662080	−	0.177404i	−0.0878954	−	0.996130i	$-0.528014\pi$
$149$	−8.08172	−	2.16549i	−0.662080	−	0.177404i	−0.574185	+	0.818726i	$0.694681\pi$
$150$	0.489658	+	1.82743i	0.0399804	+	0.149209i
$151$	−23.0514	+	6.17660i	−1.87589	+	0.502644i	−0.876105	+	0.482121i	$0.839867\pi$
$151$	−23.0514	+	6.17660i	−1.87589	+	0.502644i	−0.999789	+	0.0205232i	$0.993467\pi$
$152$	1.02037	−	0.589109i	0.0827627	−	0.0477831i
$153$	−6.68251			−0.540249
$154$	−8.94468	+	0.243689i	−0.720783	+	0.0196370i
$155$			10.8523i			0.871676i
$156$	2.85505	+	3.68408i	0.228587	+	0.294963i
$157$	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	$0.392623\pi$
$158$	0.0408687	+	0.152524i	0.00325134	+	0.0121342i
$159$	−3.04522	+	1.75816i	−0.241502	+	0.139431i
$160$	−9.54287			−0.754430
$161$	11.1286	−	6.83581i	0.877057	−	0.538737i
$162$	0.594687	−	0.594687i	0.0467230	−	0.0467230i
$163$	0.708484	−	2.64410i	0.0554927	−	0.207102i	−0.932613	−	0.360878i	$-0.882477\pi$
$163$	0.708484	−	2.64410i	0.0554927	−	0.207102i	0.988106	+	0.153777i	$0.0491436\pi$
$164$	−0.856199	−	3.19538i	−0.0668579	−	0.249517i
$165$	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	$-0.789948\pi$
$167$	−2.28761	+	2.28761i	−0.177021	+	0.177021i	0.613035	+	0.790056i	$0.289948\pi$
$168$	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
$171$	0.410974	−	0.110120i	0.0314280	−	0.00842110i
$172$	−6.04362	+	10.4679i	−0.460822	+	0.798167i
$173$	−0.194375	−	0.336667i	−0.0147780	−	0.0255963i	0.858542	−	0.512744i	$-0.171371\pi$
$173$	−0.194375	−	0.336667i	−0.0147780	−	0.0255963i	−0.873320	+	0.487147i	$0.838037\pi$
$174$	−4.27370	−	4.27370i	−0.323988	−	0.323988i
$175$	−5.23347	−	2.83438i	−0.395613	−	0.214259i
$176$	−0.729222	−	0.729222i	−0.0549672	−	0.0549672i
$177$	−0.0628867	+	0.234696i	−0.00472685	+	0.0176409i
$178$	5.70650	+	3.29465i	0.427720	+	0.246944i
$179$	15.1737	+	8.76054i	1.13414	+	0.654794i	0.944972	−	0.327152i	$-0.106089\pi$
$179$	15.1737	+	8.76054i	1.13414	+	0.654794i	0.189164	+	0.981946i	$0.439422\pi$
$180$	−2.07082	−	0.554875i	−0.154350	−	0.0413579i
$181$	−7.41669			−0.551278			−0.275639	−	0.961261i	$-0.588889\pi$
$181$	−7.41669			−0.551278			−0.275639	+	0.961261i	$0.588889\pi$
$182$	7.98359	+	0.791923i	0.591783	+	0.0587012i
$183$	12.8048			0.946562
$184$	−13.2040	−	3.53801i	−0.973413	−	0.260825i
$185$	−1.22127	−	0.705099i	−0.0897894	−	0.0518399i
$186$	−4.76598	−	2.75164i	−0.349459	−	0.201760i
$187$	6.95520	−	25.9571i	0.508614	−	1.89817i
$188$	−1.33723	−	1.33723i	−0.0975276	−	0.0975276i
$189$	0.0720542	+	2.64477i	0.00524117	+	0.192379i
$190$	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
$193$	15.6976	−	4.20617i	1.12994	−	0.302766i	0.355040	−	0.934851i	$-0.384467\pi$
$193$	15.6976	−	4.20617i	1.12994	−	0.302766i	0.774899	+	0.632085i	$0.217800\pi$
$194$	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	−0.0301100	−	0.999547i	$-0.509586\pi$
$197$	13.6067	−	13.6067i	0.969437	−	0.969437i	0.999547	+	0.0301100i	$0.00958575\pi$
$198$	1.69101	+	2.92892i	0.120175	+	0.208149i
$199$	6.17376	−	10.6933i	0.437646	−	0.758025i	−0.559861	−	0.828586i	$-0.689146\pi$
$199$	6.17376	−	10.6933i	0.437646	−	0.758025i	0.997507	+	0.0705611i	$0.0224790\pi$
$200$	1.61230	+	6.01717i	0.114006	+	0.425478i
$201$	−2.20557	+	8.23132i	−0.155569	+	0.580592i
$202$	8.91896	−	8.91896i	0.627536	−	0.627536i
$203$	19.0066	−	0.517815i	1.33400	−	0.0363435i
$204$	−8.63844			−0.604812
$205$	3.67550	−	2.12205i	0.256708	−	0.148210i
$206$	−4.18990	−	15.6369i	−0.291924	−	1.08948i
$207$	−4.27502	−	2.46818i	−0.297134	−	0.171551i
$208$	0.566394	+	0.730861i	0.0392724	+	0.0506761i
$209$			1.71098i			0.118351i
$210$	−3.14441	+	1.93147i	−0.216985	+	0.133284i
$211$	−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
$213$	2.61131	−	0.699699i	0.178924	−	0.0479426i
$214$	−0.454865	−	1.69758i	−0.0310939	−	0.116044i
$215$	−14.9788	−	4.01356i	−1.02155	−	0.273723i
$216$	1.95812	−	1.95812i	0.133233	−	0.133233i
$217$	16.5946	−	4.93465i	1.12652	−	0.334986i
$218$			14.6580i			0.992764i
$219$	−1.91132	+	7.13315i	−0.129155	+	0.482014i
$220$	4.31065	−	7.46626i	0.290624	−	0.503375i
$221$	−9.11365	+	22.3040i	−0.613050	+	1.50033i
$222$	0.619315	−	0.357562i	0.0415657	−	0.0239980i
$223$	−0.368263	−	0.368263i	−0.0246607	−	0.0246607i	0.694669	−	0.719330i	$-0.255551\pi$
$223$	−0.368263	−	0.368263i	−0.0246607	−	0.0246607i	−0.719330	+	0.694669i	$0.755551\pi$
$224$	4.33925	+	14.5924i	0.289928	+	0.974994i
$225$			2.24954i			0.149969i
$226$	16.1468	+	4.32652i	1.07407	+	0.287796i
$227$	14.8006	−	3.96582i	0.982354	−	0.263221i	0.268318	−	0.963330i	$-0.413532\pi$
$227$	14.8006	−	3.96582i	0.982354	−	0.263221i	0.714035	+	0.700110i	$0.246866\pi$
$228$	0.531264	−	0.142352i	0.0351838	−	0.00942748i
$229$	5.61871	+	1.50553i	0.371295	+	0.0994882i	0.439641	−	0.898173i	$-0.355106\pi$
$229$	5.61871	+	1.50553i	0.371295	+	0.0994882i	−0.0683463	+	0.997662i	$0.521772\pi$
$230$		−	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	−0.266532	−	0.963826i	$-0.585878\pi$
$233$	6.63846	−	3.83272i	0.434900	−	0.251090i	0.701432	+	0.712736i	$0.252544\pi$
$234$	−1.17383	−	2.79591i	−0.0767357	−	0.182774i
$235$	1.21310	−	2.10116i	0.0791342	−	0.137064i
$236$	−0.0812933	+	0.303391i	−0.00529174	+	0.0197490i
$237$			0.187755i			0.0121960i
$238$	−10.2240	+	10.7967i	−0.662722	+	0.699844i
$239$	−0.656161	+	0.656161i	−0.0424435	+	0.0424435i	−0.728010	−	0.685567i	$-0.759555\pi$
$239$	−0.656161	+	0.656161i	−0.0424435	+	0.0424435i	0.685567	+	0.728010i	$0.259555\pi$
$240$	−0.410816	−	0.110078i	−0.0265181	−	0.00710550i
$241$	−0.129161	−	0.482034i	−0.00831997	−	0.0310505i	0.961641	−	0.274311i	$-0.0884497\pi$
$241$	−0.129161	−	0.482034i	−0.00831997	−	0.0310505i	−0.969961	+	0.243260i	$0.921783\pi$
$242$	−4.20102	+	1.12566i	−0.270052	+	0.0723601i
$243$	0.866025	−	0.500000i	0.0555556	−	0.0320750i
$244$	16.5528			1.05968
$245$	2.38966	−	11.3606i	0.152670	−	0.725799i
$246$			2.15222i			0.137220i
$247$	0.192945	−	1.52188i	0.0122768	−	0.0968348i
$248$	−15.6929	−	9.06032i	−0.996502	−	0.575331i
$249$	1.51116	+	5.63972i	0.0957657	+	0.357402i
$250$	−8.75684	+	5.05576i	−0.553831	+	0.319754i
$251$	21.7752			1.37444			0.687219	−	0.726450i	$-0.258831\pi$
$251$	21.7752			1.37444			0.687219	+	0.726450i	$0.258831\pi$
$252$	0.0931441	+	3.41888i	0.00586752	+	0.215369i
$253$	14.0367	−	14.0367i	0.882482	−	0.882482i
$254$	−0.655851	+	2.44767i	−0.0411517	+	0.153580i
$255$	−2.86839	−	10.7050i	−0.179626	−	0.670372i
$256$	7.63561	−	13.2253i	0.477225	−	0.826579i
$257$	−7.66728	−	13.2801i	−0.478272	−	0.828391i	0.521418	−	0.853301i	$-0.325403\pi$
$257$	−7.66728	−	13.2801i	−0.478272	−	0.828391i	−0.999690	+	0.0249104i	$0.992070\pi$
$258$	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
$262$	−0.0152903	+	0.00409701i	−0.000944636	+	0.000253114i
$263$	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
$266$	0.450858	−	0.832474i	0.0276439	−	0.0510423i
$267$	5.54014	+	5.54014i	0.339051	+	0.339051i
$268$	−2.85113	+	10.6406i	−0.174161	+	0.649977i
$269$	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
$271$	−24.1401	−	6.46832i	−1.46641	−	0.392922i	−0.564708	−	0.825290i	$-0.691011\pi$
$271$	−24.1401	−	6.46832i	−1.46641	−	0.392922i	−0.901697	+	0.432368i	$0.857678\pi$
$272$	−1.71372			−0.103910
$273$	8.92563	+	3.36646i	0.540204	+	0.203748i
$274$	−7.64870			−0.462075
$275$	−8.73798	−	2.34133i	−0.526920	−	0.141188i
$276$	−5.52630	−	3.19061i	−0.332644	−	0.192052i
$277$	2.03904	+	1.17724i	0.122514	+	0.0707334i	0.560005	−	0.828490i	$-0.310799\pi$
$277$	2.03904	+	1.17724i	0.122514	+	0.0707334i	−0.437491	+	0.899223i	$0.644133\pi$
$278$	4.46706	−	16.6713i	0.267916	−	0.999878i
$279$	−4.62704	−	4.62704i	−0.277014	−	0.277014i
$280$	−10.3536	+	6.35975i	−0.618745	+	0.380068i
$281$	3.87493	+	3.87493i	0.231159	+	0.231159i	0.813176	−	0.582017i	$-0.197736\pi$
$281$	3.87493	+	3.87493i	0.231159	+	0.231159i	−0.582017	+	0.813176i	$0.697736\pi$
$282$	0.615175	+	1.06551i	0.0366331	+	0.0634505i
$283$	2.50790	−	4.34381i	0.149079	−	0.258213i	−0.781808	−	0.623519i	$-0.785702\pi$
$283$	2.50790	−	4.34381i	0.149079	−	0.258213i	0.930887	+	0.365306i	$0.119036\pi$
$284$	3.37563	−	0.904497i	0.200307	−	0.0536720i
$285$	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
$291$	0.0742355	+	0.277051i	0.00435176	+	0.0162410i
$292$	−2.47076	+	9.22098i	−0.144590	+	0.539617i
$293$	7.51968	−	7.51968i	0.439304	−	0.439304i	−0.452473	−	0.891778i	$-0.649458\pi$
$293$	7.51968	−	7.51968i	0.439304	−	0.439304i	0.891778	+	0.452473i	$0.149458\pi$
$294$	4.38329	+	3.92998i	0.255639	+	0.229201i
$295$	−0.402963			−0.0234614
$296$	2.03921	−	1.17734i	0.118527	−	0.0684316i
$297$	1.04081	+	3.88434i	0.0603937	+	0.225392i
$298$	6.09388	+	3.51830i	0.353009	+	0.203810i
$299$	−14.0683	+	10.9025i	−0.813590	+	0.630506i
$300$			2.90797i			0.167892i
$301$	0.673737	+	24.7297i	0.0388336	+	1.42540i
$302$	20.0704			1.15492
$303$	12.9884	−	7.49887i	0.746165	−	0.430799i
$304$	0.105394	−	0.0282402i	0.00604476	−	0.00161969i
$305$	5.49634	+	20.5126i	0.314719	+	1.17455i
$306$	5.42859	+	1.45459i	0.310332	+	0.0831531i
$307$	−15.8504	+	15.8504i	−0.904629	+	0.904629i	−0.995832	−	0.0912037i	$-0.970929\pi$
$307$	−15.8504	+	15.8504i	−0.904629	+	0.904629i	0.0912037	+	0.995832i	$0.470929\pi$
$308$	−13.3770	−	3.19659i	−0.762228	−	0.182143i
$309$		−	19.2488i		−	1.09503i
$310$	2.36222	−	8.81594i	0.134165	−	0.500711i
$311$	2.46471	−	4.26901i	0.139761	−	0.242073i	−0.787645	−	0.616129i	$-0.788700\pi$
$311$	2.46471	−	4.26901i	0.139761	−	0.242073i	0.927406	+	0.374056i	$0.122033\pi$
$312$	−3.86506	−	9.20607i	−0.218816	−	0.521191i
$313$	−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
$317$	−31.4355	−	8.42312i	−1.76559	−	0.473089i	−0.777754	−	0.628568i	$-0.783641\pi$
$317$	−31.4355	−	8.42312i	−1.76559	−	0.473089i	−0.987839	+	0.155479i	$0.950308\pi$
$318$	2.85651	−	0.765399i	0.160185	−	0.0429215i
$319$	27.9147	−	7.47972i	1.56292	−	0.418784i
$320$	6.93059	+	1.85705i	0.387432	+	0.103812i
$321$		−	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
$325$	7.50821	+	3.06794i	0.416481	+	0.170178i
$326$	−1.15108	+	1.99374i	−0.0637527	+	0.110423i
$327$	−4.51094	+	16.8351i	−0.249456	+	0.930981i
$328$			7.08659i			0.391292i
$329$	−3.76457	−	0.899585i	−0.207548	−	0.0495957i
$330$	−3.96611	+	3.96611i	−0.218327	+	0.218327i
$331$	16.1877	+	4.33748i	0.889756	+	0.238409i	0.674612	−	0.738173i	$-0.264311\pi$
$331$	16.1877	+	4.33748i	0.889756	+	0.238409i	0.215144	+	0.976582i	$0.430978\pi$
$332$	1.95346	+	7.29043i	0.107210	+	0.400114i
$333$	0.821337	−	0.220076i	0.0450090	−	0.0120601i
$334$	2.35630	−	1.36041i	0.128931	−	0.0744385i
$335$	−14.1328			−0.772157
$336$	0.0184782	+	0.678249i	0.00100807	+	0.0370015i
$337$			27.2783i			1.48594i	0.669322	+	0.742972i	$0.266585\pi$
$337$			27.2783i			1.48594i	−0.669322	+	0.742972i	$0.733415\pi$
$338$	−10.9327	+	0.104781i	−0.594660	+	0.00569931i
$339$	17.2135	+	9.93823i	0.934910	+	0.539770i
$340$	−3.70796	−	13.8383i	−0.201092	−	0.750486i
$341$	22.7889	−	13.1572i	1.23409	−	0.712500i
$342$	−0.357828			−0.0193491
$343$	−18.4585	+	1.51164i	−0.996663	+	0.0816210i
$344$	18.3093	−	18.3093i	0.987170	−	0.987170i
$345$	2.11888	−	7.90777i	0.114077	−	0.425740i
$346$	0.0846193	+	0.315804i	0.00454916	+	0.0169777i
$347$	−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	$-0.911550\pi$
$349$	−12.8404	+	12.8404i	−0.687329	+	0.687329i	0.274312	+	0.961641i	$0.411550\pi$
$350$	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
$353$	7.77996	−	2.08463i	0.414086	−	0.110954i	−0.0457607	−	0.998952i	$-0.514571\pi$
$353$	7.77996	−	2.08463i	0.414086	−	0.110954i	0.459846	+	0.887999i	$0.347905\pi$
$354$	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
$357$	−15.0651	+	9.25384i	−0.797331	+	0.489765i
$358$	−10.4196	−	10.4196i	−0.550691	−	0.550691i
$359$	−7.04959	+	26.3094i	−0.372063	+	1.38856i	0.485525	+	0.874223i	$0.338628\pi$
$359$	−7.04959	+	26.3094i	−0.372063	+	1.38856i	−0.857589	+	0.514336i	$0.828038\pi$
$360$	3.97730	+	2.29630i	0.209622	+	0.121025i
$361$	16.2977	+	9.40949i	0.857774	+	0.495236i
$362$	6.02500	+	1.61440i	0.316667	+	0.0848507i
$363$	−5.17139			−0.271428
$364$	11.5381	+	4.35181i	0.604762	+	0.228097i
$365$	−12.2473			−0.641053
$366$	−10.4021	−	2.78724i	−0.543727	−	0.145691i
$367$	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
$369$	−0.662337	+	2.47187i	−0.0344799	+	0.128681i
$370$	0.838627	+	0.838627i	0.0435981	+	0.0435981i
$371$	−4.43051	+	8.18059i	−0.230020	+	0.424715i
$372$	−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
$375$	−11.6133	+	3.11178i	−0.599710	+	0.160692i
$376$	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	−0.124357	−	0.992238i	$-0.539687\pi$
$379$	16.8958	−	16.8958i	0.867881	−	0.867881i	0.992238	+	0.124357i	$0.0396867\pi$
$380$	0.456078	+	0.789951i	0.0233963	+	0.0405236i
$381$	−1.50652	+	2.60937i	−0.0771814	+	0.133682i
$382$	3.75953	+	14.0308i	0.192354	+	0.717876i
$383$	4.96912	−	18.5450i	0.253910	−	0.947606i	−0.714783	−	0.699346i	$-0.753475\pi$
$383$	4.96912	−	18.5450i	0.253910	−	0.947606i	0.968693	−	0.248260i	$-0.0798587\pi$
$384$	5.56467	−	5.56467i	0.283971	−	0.283971i
$385$	−0.480547	−	17.6386i	−0.0244909	−	0.898947i
$386$	−13.6676			−0.695665
$387$	8.09770	−	4.67521i	0.411629	−	0.237654i
$388$	0.0959639	+	0.358142i	0.00487183	+	0.0181819i
$389$	−28.2591	−	16.3154i	−1.43280	−	0.827225i	−0.435462	−	0.900207i	$-0.643415\pi$
$389$	−28.2591	−	16.3154i	−1.43280	−	0.827225i	−0.997333	+	0.0729826i	$0.976748\pi$
$390$	3.97502	−	3.08052i	0.201283	−	0.155988i
$391$		−	32.9873i		−	1.66824i
$392$	14.4328	+	12.9402i	0.728968	+	0.653580i
$393$	−0.0188221			−0.000949448
$394$	−14.0153	+	8.09172i	−0.706079	+	0.407655i
$395$	−0.300772	+	0.0805917i	−0.0151335	+	0.00405501i
$396$	1.34544	+	5.02127i	0.0676111	+	0.252328i
$397$	12.7285	+	3.41060i	0.638827	+	0.171173i	0.563672	−	0.825999i	$-0.309388\pi$
$397$	12.7285	+	3.41060i	0.638827	+	0.171173i	0.0751549	+	0.997172i	$0.476055\pi$
$398$	−7.34291	+	7.34291i	−0.368067	+	0.368067i
$399$	0.774012	−	0.817367i	0.0387491	−	0.0409196i
$400$			0.576892i			0.0288446i
$401$	−9.14753	+	34.1390i	−0.456806	+	1.70482i	0.225919	+	0.974146i	$0.427462\pi$
$401$	−9.14753	+	34.1390i	−0.456806	+	1.70482i	−0.682725	+	0.730676i	$0.739205\pi$
$402$	3.58343	−	6.20668i	0.178725	−	0.309561i
$403$	−21.7539	+	9.13314i	−1.08364	+	0.454954i
$404$	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
$408$	17.8747	+	4.78951i	0.884928	+	0.237116i
$409$	−6.15743	+	1.64988i	−0.304466	+	0.0815813i	−0.407817	−	0.913064i	$-0.633710\pi$
$409$	−6.15743	+	1.64988i	−0.304466	+	0.0815813i	0.103352	+	0.994645i	$0.467043\pi$
$410$	−3.44773	+	0.923815i	−0.170271	+	0.0456240i
$411$	−8.78473	−	2.35386i	−0.433319	−	0.116107i
$412$		−	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
$416$	−8.03116	−	19.1291i	−0.393760	−	0.937883i
$417$	10.2611	−	17.7727i	0.502486	−	0.870331i
$418$	0.372430	−	1.38993i	0.0182161	−	0.0679835i
$419$			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	−0.0481030	+	0.998842i	$0.515318\pi$
$421$	−21.4815	+	21.4815i	−1.04695	+	1.04695i	−0.998842	+	0.0481030i	$0.984682\pi$
$422$	6.69938	+	1.79509i	0.326121	+	0.0873838i
$423$	0.378636	+	1.41309i	0.0184099	+	0.0687067i
$424$	9.40561	−	2.52023i	0.456777	−	0.122393i
$425$	−13.0186	+	7.51628i	−0.631494	+	0.364593i
$426$	−2.27362			−0.110157
$427$	28.8674	−	17.7320i	1.39699	−	0.858110i
$428$		−	2.70134i		−	0.130574i
$429$	14.3841	+	1.82362i	0.694471	+	0.0880454i
$430$	11.2945	+	6.52090i	0.544670	+	0.314466i
$431$	−2.28061	−	8.51135i	−0.109853	−	0.409978i	0.888997	−	0.457912i	$-0.151403\pi$
$431$	−2.28061	−	8.51135i	−0.109853	−	0.409978i	−0.998850	+	0.0479349i	$0.984736\pi$
$432$	0.222091	−	0.128225i	0.0106854	−	0.00616921i
$433$	−9.25367			−0.444703			−0.222352	−	0.974967i	$-0.571373\pi$
$433$	−9.25367			−0.444703			−0.222352	+	0.974967i	$0.571373\pi$
$434$	−14.5549	+	0.396535i	−0.698658	+	0.0190343i
$435$	8.42759	−	8.42759i	0.404072	−	0.404072i
$436$	−5.83127	+	21.7626i	−0.279267	+	1.04224i
$437$	0.543594	+	2.02872i	0.0260036	+	0.0970468i
$438$	3.10535	−	5.37863i	0.148379	−	0.257001i
$439$	−7.22863	−	12.5204i	−0.345004	−	0.597564i	0.640351	−	0.768083i	$-0.278789\pi$
$439$	−7.22863	−	12.5204i	−0.345004	−	0.597564i	−0.985354	+	0.170519i	$0.945456\pi$
$440$	−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	$0.674901\pi$
$444$	1.06174	−	0.284492i	0.0503878	−	0.0135014i
$445$	−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
$448$	−0.311733	−	11.4423i	−0.0147280	−	0.540596i
$449$	−18.9705	−	18.9705i	−0.895276	−	0.895276i	0.0997382	−	0.995014i	$-0.468199\pi$
$449$	−18.9705	−	18.9705i	−0.895276	−	0.895276i	−0.995014	+	0.0997382i	$0.968199\pi$
$450$	0.489658	−	1.82743i	0.0230827	−	0.0861459i
$451$	−8.91224	−	5.14549i	−0.419661	−	0.242291i
$452$	22.2518	+	12.8471i	1.04664	+	0.604276i
$453$	23.0514	+	6.17660i	1.08305	+	0.290202i
$454$	−12.8867			−0.604801
$455$	−1.56164	+	15.7434i	−0.0732110	+	0.738060i
$456$	−1.17822			−0.0551751
$457$	−5.93424	−	1.59008i	−0.277592	−	0.0743806i	0.117337	−	0.993092i	$-0.462564\pi$
$457$	−5.93424	−	1.59008i	−0.277592	−	0.0743806i	−0.394929	+	0.918712i	$0.629231\pi$
$458$	−4.23669	−	2.44606i	−0.197968	−	0.114297i
$459$	5.78722	+	3.34125i	0.270124	+	0.155956i
$460$	2.73907	−	10.2223i	0.127710	−	0.476619i
$461$	0.632318	+	0.632318i	0.0294500	+	0.0294500i	0.721678	−	0.692228i	$-0.243371\pi$
$461$	0.632318	+	0.632318i	0.0294500	+	0.0294500i	−0.692228	+	0.721678i	$0.743371\pi$
$462$	7.86817	+	4.26130i	0.366060	+	0.198254i
$463$	4.46990	+	4.46990i	0.207734	+	0.207734i	0.803304	−	0.595570i	$-0.203074\pi$
$463$	4.46990	+	4.46990i	0.207734	+	0.207734i	−0.595570	+	0.803304i	$0.703074\pi$
$464$	−0.921482	−	1.59605i	−0.0427787	−	0.0740949i
$465$	5.42614	−	9.39835i	0.251631	−	0.435838i
$466$	−6.22708	+	1.66854i	−0.288464	+	0.0772936i
$467$	−6.53755	−	11.3234i	−0.302522	−	0.523983i	0.674185	−	0.738563i	$-0.264495\pi$
$467$	−6.53755	−	11.3234i	−0.302522	−	0.523983i	−0.976707	+	0.214580i	$0.931162\pi$
$468$	−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
$473$	9.73198	+	36.3202i	0.447477	+	1.67001i
$474$	0.0408687	−	0.152524i	0.00187716	−	0.00700566i
$475$	0.676783	−	0.676783i	0.0310529	−	0.0310529i
$476$	−19.4746	+	11.9624i	−0.892617	+	0.548295i
$477$	3.51632			0.161001
$478$	0.675864	−	0.390210i	0.0309133	−	0.0178478i
$479$	0.643254	+	2.40066i	0.0293910	+	0.109689i	0.979063	−	0.203557i	$-0.0652503\pi$
$479$	0.643254	+	2.40066i	0.0293910	+	0.109689i	−0.949672	+	0.313246i	$0.898584\pi$
$480$	8.26437	+	4.77144i	0.377215	+	0.217785i
$481$	0.385602	−	3.04149i	0.0175819	−	0.138680i
$482$			0.419698i			0.0191167i
$483$	−13.0556	+	0.355686i	−0.594048	+	0.0161843i
$484$	−6.68503			−0.303865
$485$	−0.411954	+	0.237842i	−0.0187059	+	0.0107998i
$486$	−0.812358	+	0.217671i	−0.0368493	+	0.00987374i
$487$	5.23946	+	19.5539i	0.237422	+	0.886073i	0.977042	+	0.213047i	$0.0683389\pi$
$487$	5.23946	+	19.5539i	0.237422	+	0.886073i	−0.739619	+	0.673025i	$0.764994\pi$
$488$	−34.2510	−	9.17753i	−1.55047	−	0.415447i
$489$	−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	$0.231896\pi$
$491$			29.5049i			1.33154i	−0.746158	+	0.665768i	$0.768104\pi$
$492$	−0.856199	+	3.19538i	−0.0386004	+	0.144059i
$493$	24.0118	−	41.5897i	1.08144	−	1.87311i
$494$	−0.488008	+	1.19431i	−0.0219565	+	0.0537346i
$495$	−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
$499$	19.6415	+	5.26294i	0.879276	+	0.235601i	0.670095	−	0.742275i	$-0.266253\pi$
$499$	19.6415	+	5.26294i	0.879276	+	0.235601i	0.209181	+	0.977877i	$0.432920\pi$
$500$	−15.0125	+	4.02259i	−0.671379	+	0.179896i
$501$	3.12493	−	0.837324i	0.139612	−	0.0374089i
$502$	−17.6892	−	4.73982i	−0.789509	−	0.211548i
$503$		−	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
$507$	−12.5887	−	3.24415i	−0.559084	−	0.144078i
$508$	−1.94747	+	3.37312i	−0.0864051	+	0.149658i
$509$	8.19464	−	30.5828i	0.363221	−	1.35556i	−0.506596	−	0.862184i	$-0.669096\pi$
$509$	8.19464	−	30.5828i	0.363221	−	1.35556i	0.869817	−	0.493375i	$-0.164237\pi$
$510$			9.32064i			0.412725i
$511$	5.56898	+	18.7278i	0.246357	+	0.828470i
$512$	2.04775	−	2.04775i	0.0904984	−	0.0904984i
$513$	−0.410974	−	0.110120i	−0.0181450	−	0.00486193i
$514$	3.33788	+	12.4571i	0.147228	+	0.549461i
$515$	30.8355	−	8.26235i	1.35877	−	0.364082i
$516$	10.4679	−	6.04362i	0.460822	−	0.266056i
$517$	−5.88300			−0.258734
$518$	0.901044	−	1.66371i	0.0395896	−	0.0730992i
$519$			0.388749i			0.0170642i
$520$	13.0885	−	10.1432i	0.573970	−	0.444809i
$521$	−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	$0.680741\pi$
$522$	1.56428	+	5.83798i	0.0684668	+	0.255522i
$523$	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
$525$	3.11513	+	5.07138i	0.135955	+	0.221333i
$526$	−1.60521	+	1.60521i	−0.0699906	+	0.0699906i
$527$	11.3176	−	42.2378i	0.493002	−	1.83991i
$528$	0.266914	+	0.996136i	0.0116159	+	0.0433512i
$529$	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
$535$	3.34757	−	0.896978i	0.144728	−	0.0387798i
$536$	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
$539$	−26.7534	+	8.75529i	−1.15235	+	0.377117i
$540$	1.51595	+	1.51595i	0.0652359	+	0.0652359i
$541$	6.56151	−	24.4879i	0.282101	−	1.05282i	−0.668831	−	0.743415i	$-0.733205\pi$
$541$	6.56151	−	24.4879i	0.282101	−	1.05282i	0.950932	−	0.309401i	$-0.100128\pi$
$542$	18.2024	+	10.5092i	0.781861	+	0.451407i
$543$	6.42304	+	3.70835i	0.275639	+	0.159140i
$544$	37.1415	+	9.95204i	1.59243	+	0.426690i
$545$	−28.9050			−1.23816
$546$	−6.51803	−	4.67762i	−0.278946	−	0.200184i
$547$	−25.0351			−1.07043			−0.535213	−	0.844717i	$-0.679769\pi$
$547$	−25.0351			−1.07043			−0.535213	+	0.844717i	$0.679769\pi$
$548$	−11.3560	−	3.04282i	−0.485103	−	0.129983i
$549$	−11.0893	−	6.40242i	−0.473281	−	0.273249i
$550$	6.58872	+	3.80400i	0.280944	+	0.162203i
$551$	−0.791375	+	2.95345i	−0.0337137	+	0.125821i
$552$	9.66601	+	9.66601i	0.411413	+	0.411413i
$553$	0.260000	+	0.423277i	0.0110563	+	0.0179995i
$554$	−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
$557$	11.2471	−	3.01365i	0.476554	−	0.127692i	−0.0125434	−	0.999921i	$-0.503993\pi$
$557$	11.2471	−	3.01365i	0.476554	−	0.127692i	0.489098	+	0.872229i	$0.337326\pi$
$558$	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	$-0.657218\pi$
$563$	12.4685	−	21.5960i	0.525483	−	0.910163i	0.999559	−	0.0296792i	$-0.00944857\pi$
$564$	0.489460	+	1.82669i	0.0206100	+	0.0769176i
$565$	−8.53175	+	31.8409i	−0.358933	+	1.33956i
$566$	−2.98283	+	2.98283i	−0.125378	+	0.125378i
$567$	1.25998	−	2.32647i	0.0529144	−	0.0977023i
$568$	−7.48634			−0.314120
$569$	7.17678	−	4.14352i	0.300866	−	0.173705i	−0.341966	−	0.939712i	$-0.611093\pi$
$569$	7.17678	−	4.14352i	0.300866	−	0.173705i	0.642832	+	0.766007i	$0.277759\pi$
$570$	−0.153594	−	0.573219i	−0.00643333	−	0.0240095i
$571$	−39.6451	−	22.8891i	−1.65910	−	0.957879i	−0.973133	−	0.230243i	$-0.926048\pi$
$571$	−39.6451	−	22.8891i	−1.65910	−	0.957879i	−0.685963	−	0.727637i	$-0.740619\pi$
$572$	18.5943	+	2.35739i	0.777465	+	0.0985674i
$573$			17.2717i			0.721534i
$574$	2.98036	+	4.85198i	0.124398	+	0.202518i
$575$	−11.1045			−0.463092
$576$	−3.74675	+	2.16319i	−0.156114	+	0.0901327i
$577$	−32.4698	+	8.70024i	−1.35173	+	0.362196i	−0.860774	−	0.508987i	$-0.830020\pi$
$577$	−32.4698	+	8.70024i	−1.35173	+	0.362196i	−0.490959	+	0.871183i	$0.663354\pi$
$578$	6.01988	+	22.4665i	0.250394	+	0.934483i
$579$	−15.6976	−	4.20617i	−0.652371	−	0.174802i
$580$	10.8943	−	10.8943i	0.452361	−	0.452361i
$581$	11.2166	+	10.6216i	0.465342	+	0.440658i
$582$		−	0.241223i		−	0.00999902i
$583$	−3.65981	+	13.6586i	−0.151574	+	0.565681i
$584$	10.2250	−	17.7102i	0.423113	−	0.732853i
$585$	5.51343	−	2.31475i	0.227952	−	0.0957032i
$586$	−7.74548	+	4.47186i	−0.319963	+	0.184731i
$587$	21.9164	+	21.9164i	0.904585	+	0.904585i	0.995829	−	0.0912434i	$-0.0290841\pi$
$587$	21.9164	+	21.9164i	0.904585	+	0.904585i	−0.0912434	+	0.995829i	$0.529084\pi$
$588$	4.94440	+	7.57858i	0.203904	+	0.312535i
$589$			2.78413i			0.114718i
$590$	0.327350	+	0.0877132i	0.0134768	+	0.00361109i
$591$	−18.5871	+	4.98039i	−0.764571	+	0.204866i
$592$	0.210631	−	0.0564384i	0.00865688	−	0.00231960i
$593$	8.29519	+	2.22269i	0.340643	+	0.0912749i	0.425085	−	0.905153i	$-0.360244\pi$
$593$	8.29519	+	2.22269i	0.340643	+	0.0912749i	−0.0844424	+	0.996428i	$0.526911\pi$
$594$		−	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
$598$	13.8016	−	5.79446i	0.564390	−	0.236953i
$599$	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	$0.151938\pi$
$600$	1.61230	−	6.01717i	0.0658217	−	0.245650i
$601$			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
$604$	29.7984	+	7.98445i	1.21248	+	0.324883i
$605$	−2.21976	−	8.28426i	−0.0902461	−	0.336803i
$606$	−12.1835	+	3.26456i	−0.494922	+	0.132614i
$607$	−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
$609$	−16.7191	−	9.05484i	−0.677491	−	0.366920i
$610$		−	17.8600i		−	0.723129i
$611$	5.23280	+	0.663418i	0.211697	+	0.0268390i
$612$	7.48111	+	4.31922i	0.302406	+	0.174594i
$613$	10.1873	+	38.0195i	0.411461	+	1.53559i	0.791821	+	0.610754i	$0.209133\pi$
$613$	10.1873	+	38.0195i	0.411461	+	1.53559i	−0.380360	+	0.924839i	$0.624200\pi$
$614$	16.3263	−	9.42601i	0.658877	−	0.380403i
$615$	−4.24410			−0.171139
$616$	25.9075	+	14.0312i	1.04384	+	0.565332i
$617$	27.6788	−	27.6788i	1.11431	−	1.11431i	0.121747	−	0.992561i	$-0.461150\pi$
$617$	27.6788	−	27.6788i	1.11431	−	1.11431i	0.992561	−	0.121747i	$-0.0388496\pi$
$618$	−4.18990	+	15.6369i	−0.168543	+	0.629010i
$619$	0.0580832	+	0.216769i	0.00233456	+	0.00871270i	0.967083	−	0.254460i	$-0.0818977\pi$
$619$	0.0580832	+	0.216769i	0.00233456	+	0.00871270i	−0.964749	+	0.263173i	$0.915231\pi$
$620$	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
$626$	3.28818	−	0.881065i	0.131422	−	0.0352144i
$627$	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
$630$	3.68888	−	0.100500i	0.146968	−	0.00400401i
$631$	2.17154	+	2.17154i	0.0864477	+	0.0864477i	0.749008	−	0.662561i	$-0.230530\pi$
$631$	2.17154	+	2.17154i	0.0864477	+	0.0864477i	−0.662561	+	0.749008i	$0.730530\pi$
$632$	0.134568	−	0.502215i	0.00535283	−	0.0199770i
$633$	7.14197	+	4.12342i	0.283868	+	0.163891i
$634$	23.7034	+	13.6852i	0.941382	+	0.543507i
$635$	−4.82672	−	1.29331i	−0.191542	−	0.0513236i
$636$	4.54553			0.180242
$637$	24.7839	−	4.77070i	0.981973	−	0.189022i
$638$	−24.3048			−0.962237
$639$	−2.61131	−	0.699699i	−0.103302	−	0.0276797i
$640$	11.3028	+	6.52570i	0.446784	+	0.257951i
$641$	−10.2583	−	5.92264i	−0.405179	−	0.233930i	0.283537	−	0.958961i	$-0.408492\pi$
$641$	−10.2583	−	5.92264i	−0.405179	−	0.233930i	−0.688716	+	0.725031i	$0.741825\pi$
$642$	−0.454865	+	1.69758i	−0.0179521	+	0.0669981i
$643$	13.8328	+	13.8328i	0.545513	+	0.545513i	0.925140	−	0.379627i	$-0.123948\pi$
$643$	13.8328	+	13.8328i	0.545513	+	0.545513i	−0.379627	+	0.925140i	$0.623948\pi$
$644$	−16.8768	+	0.459793i	−0.665041	+	0.0181184i
$645$	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	$0.463444\pi$
$647$	−20.4259	+	35.3787i	−0.803025	+	1.39088i	−0.917617	+	0.397467i	$0.869889\pi$
$648$	−2.67485	+	0.716723i	−0.105078	+	0.0281555i
$649$	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
$655$	−0.00807917	−	0.0301519i	−0.000315679	−	0.00117813i
$656$	−0.169856	+	0.633910i	−0.00663175	+	0.0247500i
$657$	5.22183	−	5.22183i	0.203723	−	0.203723i
$658$	2.86237	+	1.55022i	0.111587	+	0.0604339i
$659$	−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
$661$	−6.82537	−	25.4726i	−0.265476	−	0.990771i	−0.961958	−	0.273196i	$-0.911919\pi$
$661$	−6.82537	−	25.4726i	−0.265476	−	0.990771i	0.696482	−	0.717574i	$-0.254748\pi$
$662$	−12.2061	−	7.04717i	−0.474402	−	0.273896i
$663$	19.0447	−	14.7590i	0.739633	−	0.573192i
$664$		−	16.1684i		−	0.627457i
$665$	1.64161	+	0.889076i	0.0636589	+	0.0344769i
$666$	−0.715123			−0.0277105
$667$	30.7223	−	17.7375i	1.18957	−	0.686800i
$668$	4.03959	−	1.08240i	0.156296	−	0.0418795i
$669$	0.134794	+	0.503056i	0.00521142	+	0.0194493i
$670$	11.4809	+	3.07629i	0.443545	+	0.118848i
$671$	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	$-0.728416\pi$
$673$		−	39.0894i		−	1.50678i	0.657571	−	0.753392i	$-0.271584\pi$
$674$	5.93769	−	22.1598i	0.228711	−	0.853562i
$675$	1.12477	−	1.94816i	0.0432924	−	0.0749846i
$676$	−16.2734	−	4.19370i	−0.625898	−	0.161296i
$677$	−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
$681$	−14.8006	−	3.96582i	−0.567162	−	0.151971i
$682$	−21.3766	+	5.72785i	−0.818554	+	0.219331i
$683$	0.745559	−	0.199772i	0.0285280	−	0.00764406i	−0.244527	−	0.969643i	$-0.578633\pi$
$683$	0.745559	−	0.199772i	0.0285280	−	0.00764406i	0.273055	+	0.961998i	$0.411966\pi$
$684$	−0.531264	−	0.142352i	−0.0203134	−	0.00544296i
$685$		−	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
$689$	4.79558	−	11.7363i	0.182697	−	0.447118i
$690$	−3.44258	+	5.96272i	−0.131057	+	0.226997i
$691$	−2.60210	+	9.71115i	−0.0989884	+	0.369430i	−0.997594	−	0.0693277i	$-0.977915\pi$
$691$	−2.60210	+	9.71115i	−0.0989884	+	0.369430i	0.898606	+	0.438757i	$0.144581\pi$
$692$			0.502534i			0.0191035i
$693$	7.72539	+	7.31561i	0.293463	+	0.277897i
$694$	8.75591	−	8.75591i	0.332370	−	0.332370i
$695$	32.8752	+	8.80889i	1.24703	+	0.334140i
$696$	5.15070	+	19.2227i	0.195237	+	0.728634i
$697$	−16.5183	+	4.42607i	−0.625676	+	0.167649i
$698$	13.2259	−	7.63600i	0.500609	−	0.289027i
$699$	−7.66544			−0.289933
$700$	4.02691	+	6.55575i	0.152203	+	0.247784i
$701$		−	28.1125i		−	1.06179i	−0.847437	−	0.530897i	$-0.821855\pi$
$701$		−	28.1125i		−	1.06179i	0.847437	−	0.530897i	$-0.178145\pi$
$702$	−0.381386	+	3.00824i	−0.0143945	+	0.113539i
$703$	−0.313313	−	0.180892i	−0.0118168	−	0.00682245i
$704$	−4.50291	−	16.8051i	−0.169710	−	0.633366i
$705$	−2.10116	+	1.21310i	−0.0791342	+	0.0456881i
$706$	−6.77387			−0.254938
$707$	18.8969	−	34.8917i	0.710691	−	1.31224i
$708$	0.222097	−	0.222097i	0.00834693	−	0.00834693i
$709$	−4.30560	+	16.0687i	−0.161700	+	0.603474i	0.836738	+	0.547604i	$0.184460\pi$
$709$	−4.30560	+	16.0687i	−0.161700	+	0.603474i	−0.998438	+	0.0558700i	$0.982207\pi$
$710$	−0.975927	−	3.64221i	−0.0366259	−	0.136690i
$711$	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
$717$	0.896332	−	0.240171i	0.0334741	−	0.00896937i
$718$	11.4536	−	19.8382i	0.427444	−	0.740354i
$719$	18.5300	+	32.0949i	0.691053	+	1.19694i	0.971493	+	0.237067i	$0.0761861\pi$
$719$	18.5300	+	32.0949i	0.691053	+	1.19694i	−0.280441	+	0.959871i	$0.590481\pi$
$720$	0.300738	+	0.300738i	0.0112079	+	0.0112079i
$721$	−26.6555	−	43.3948i	−0.992703	−	1.61611i
$722$	−11.1914	−	11.1914i	−0.416501	−	0.416501i
$723$	−0.129161	+	0.482034i	−0.00480353	+	0.0179270i
$724$	8.30303	+	4.79376i	0.308580	+	0.178159i
$725$	−14.0004	−	8.08312i	−0.519961	−	0.300199i
$726$	4.20102	+	1.12566i	0.155914	+	0.0417771i
$727$	−13.3465			−0.494996			−0.247498	−	0.968888i	$-0.579608\pi$
$727$	−13.3465			−0.494996			−0.247498	+	0.968888i	$0.579608\pi$
$728$	−21.4619	−	15.4020i	−0.795430	−	0.570835i
$729$	−1.00000			−0.0370370
$730$	9.94919	+	2.66588i	0.368236	+	0.0986685i
$731$	54.1130	+	31.2421i	2.00144	+	1.15553i
$732$	−14.3351	−	8.27638i	−0.529841	−	0.305904i
$733$	−4.27475	+	15.9536i	−0.157891	+	0.589259i	0.840949	+	0.541114i	$0.181997\pi$
$733$	−4.27475	+	15.9536i	−0.157891	+	0.589259i	−0.998840	+	0.0481442i	$0.984669\pi$
$734$	−3.86867	−	3.86867i	−0.142795	−	0.142795i
$735$	−7.74978	+	8.64370i	−0.285855	+	0.318828i
$736$	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
$739$	−18.0744	+	4.84302i	−0.664877	+	0.178153i	−0.575446	−	0.817840i	$-0.695172\pi$
$739$	−18.0744	+	4.84302i	−0.664877	+	0.178153i	−0.0894312	+	0.995993i	$0.528505\pi$
$740$	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	−0.906240	−	0.422763i	$-0.861060\pi$
$743$	−13.1786	+	13.1786i	−0.483478	+	0.483478i	0.422763	+	0.906240i	$0.361060\pi$
$744$	9.06032	+	15.6929i	0.332167	+	0.575331i
$745$	−6.93797	+	12.0169i	−0.254188	+	0.440266i
$746$	0.918196	+	3.42675i	0.0336175	+	0.125462i
$747$	1.51116	−	5.63972i	0.0552903	−	0.206346i
$748$	−24.5637	+	24.5637i	−0.898139	+	0.898139i
$749$	−2.89378	−	4.71103i	−0.105736	−	0.172137i
$750$	10.1115			0.369221
$751$	−16.0733	+	9.27992i	−0.586523	+	0.338629i	−0.763721	−	0.645546i	$-0.776630\pi$
$751$	−16.0733	+	9.27992i	−0.586523	+	0.338629i	0.177199	+	0.984175i	$0.443296\pi$
$752$	0.0971008	+	0.362385i	0.00354090	+	0.0132148i
$753$	−18.8579	−	10.8876i	−0.687219	−	0.396766i
$754$	21.6186	+	2.74082i	0.787304	+	0.0998148i
$755$			39.5782i			1.44040i
$756$	1.62877	−	3.00741i	0.0592380	−	0.109378i
$757$	−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
$759$	−19.1745	+	5.13780i	−0.695992	+	0.186490i
$760$	−0.505737	−	1.88744i	−0.0183450	−	0.0684645i
$761$	−40.1127	−	10.7482i	−1.45409	−	0.389621i	−0.556643	−	0.830752i	$-0.687911\pi$
$761$	−40.1127	−	10.7482i	−1.45409	−	0.389621i	−0.897443	+	0.441131i	$0.854577\pi$
$762$	1.79182	−	1.79182i	0.0649107	−	0.0649107i
$763$	13.1434	+	44.1998i	0.475824	+	1.60014i
$764$			22.3270i			0.807762i
$765$	−2.86839	+	10.7050i	−0.103707	+	0.387040i
$766$	−8.07341	+	13.9836i	−0.291704	+	0.505246i
$767$	−0.339128	−	0.807759i	−0.0122452	−	0.0291665i
$768$	−13.2253	+	7.63561i	−0.477225	+	0.275526i
$769$	−9.73087	−	9.73087i	−0.350904	−	0.350904i	0.509542	−	0.860446i	$-0.329815\pi$
$769$	−9.73087	−	9.73087i	−0.350904	−	0.350904i	−0.860446	+	0.509542i	$0.829815\pi$
$770$	−3.44903	+	14.4335i	−0.124294	+	0.520146i
$771$			15.3346i			0.552261i
$772$	−20.2922	−	5.43729i	−0.730334	−	0.195692i
$773$	−48.2819	+	12.9371i	−1.73658	+	0.465315i	−0.981682	−	0.190528i	$-0.938980\pi$
$773$	−48.2819	+	12.9371i	−1.73658	+	0.465315i	−0.754898	+	0.655843i	$0.772313\pi$
$774$	−7.59589	+	2.03531i	−0.273028	+	0.0731578i
$775$	−14.2186	−	3.80985i	−0.510746	−	0.136854i
$776$		−	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
$780$	7.12718	−	2.99227i	0.255194	−	0.107140i
$781$	5.43574	−	9.41497i	0.194506	−	0.336894i
$782$	−7.18037	+	26.7975i	−0.256769	+	0.958277i
$783$			7.18647i			0.256823i
$784$	0.980887	+	1.50346i	0.0350317	+	0.0536951i
$785$	22.2892	−	22.2892i	0.795536	−	0.795536i
$786$	0.0152903	+	0.00409701i	0.000545386	+	0.000146136i
$787$	5.59744	+	20.8899i	0.199527	+	0.744646i	0.991048	+	0.133504i	$0.0426229\pi$
$787$	5.59744	+	20.8899i	0.199527	+	0.744646i	−0.791521	+	0.611142i	$0.790710\pi$
$788$	−24.0274	+	6.43813i	−0.855942	+	0.229349i
$789$	−2.33762	+	1.34963i	−0.0832216	+	0.0480480i
$790$	0.261877			0.00931717
$791$	52.5687	−	1.43218i	1.86913	−	0.0509225i
$792$		−	11.1360i		−	0.395700i
$793$	−36.4929	+	28.2808i	−1.29590	+	1.00428i
$794$	−9.59773	−	5.54125i	−0.340611	−	0.196652i
$795$	1.50934	+	5.63294i	0.0535308	+	0.199780i
$796$	−13.8231	+	7.98078i	−0.489948	+	0.282871i
$797$	−0.0755451			−0.00267595			−0.00133797	−	0.999999i	$-0.500426\pi$
$797$	−0.0755451			−0.00267595			−0.00133797	+	0.999999i	$0.500426\pi$
$798$	−0.806691	+	0.495515i	−0.0285566	+	0.0175410i
$799$	−6.91273	+	6.91273i	−0.244555	+	0.244555i
$800$	3.35016	−	12.5030i	0.118446	−	0.442047i
$801$	−2.02783	−	7.56797i	−0.0716499	−	0.267401i
$802$	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
$808$	−40.1166	+	10.7492i	−1.41130	+	0.378156i
$809$	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	0.964156	+	0.265336i	$0.0854830\pi$
$811$	35.0136	+	35.0136i	1.22949	+	1.22949i	0.265336	+	0.964156i	$0.414517\pi$
$812$	−21.6126	−	11.7051i	−0.758455	−	0.410770i
$813$	17.6718	+	17.6718i	0.619776	+	0.619776i
$814$	0.744305	−	2.77778i	0.0260879	−	0.0973612i
$815$	−3.93158	−	2.26990i	−0.137717	−	0.0795111i
$816$	1.48413	+	0.856862i	0.0519549	+	0.0299962i
$817$	−3.84278	−	1.02967i	−0.134442	−	0.0360236i
$818$	5.36117			0.187449
$819$	−6.04659	−	7.37826i	−0.211285	−	0.257817i
$820$	−5.48632			−0.191591
$821$	38.4273	+	10.2966i	1.34112	+	0.359353i	0.856851	−	0.515565i	$-0.172418\pi$
$821$	38.4273	+	10.2966i	1.34112	+	0.359353i	0.484272	+	0.874917i	$0.339084\pi$
$822$	6.62397	+	3.82435i	0.231038	+	0.133390i
$823$	−27.4360	−	15.8402i	−0.956358	−	0.552154i	−0.0613078	−	0.998119i	$-0.519527\pi$
$823$	−27.4360	−	15.8402i	−0.956358	−	0.552154i	−0.895050	+	0.445965i	$0.852860\pi$
$824$	−13.7961	+	51.4876i	−0.480609	+	1.79366i
$825$	6.39664	+	6.39664i	0.222703	+	0.222703i
$826$	−0.0147240	−	0.540448i	−0.000512313	−	0.0188046i
$827$	24.1400	+	24.1400i	0.839431	+	0.839431i	0.988784	−	0.149353i	$-0.0477190\pi$
$827$	24.1400	+	24.1400i	0.839431	+	0.839431i	−0.149353	+	0.988784i	$0.547719\pi$
$828$	3.19061	+	5.52630i	0.110881	+	0.192052i
$829$	−19.5490	+	33.8599i	−0.678965	+	1.17600i	0.296328	+	0.955086i	$0.404238\pi$
$829$	−19.5490	+	33.8599i	−0.678965	+	1.17600i	−0.975293	+	0.220916i	$0.929095\pi$
$830$	7.86617	−	2.10773i	0.273039	−	0.0731605i
$831$	−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
$837$	1.69361	+	6.32066i	0.0585399	+	0.218474i
$838$	1.55312	−	5.79633i	0.0536517	−	0.200231i
$839$	25.5205	−	25.5205i	0.881064	−	0.881064i	−0.112578	−	0.993643i	$-0.535911\pi$
$839$	25.5205	−	25.5205i	0.881064	−	0.881064i	0.993643	+	0.112578i	$0.0359109\pi$
$840$	12.1463	−	0.330915i	0.419089	−	0.0114177i
$841$	22.6453			0.780873
$842$	22.1266	−	12.7748i	0.762532	−	0.440248i
$843$	−1.41832	−	5.29325i	−0.0488496	−	0.182309i
$844$	9.23238	+	5.33032i	0.317792	+	0.183477i
$845$	−0.206624	−	21.5589i	−0.00710807	−	0.741648i
$846$		−	1.23035i		−	0.0423003i
$847$	−11.6584	+	7.16127i	−0.400589	+	0.246064i
$848$	0.901757			0.0309665
$849$	−4.34381	+	2.50790i	−0.149079	+	0.0860709i
$850$	12.2118	−	3.27215i	0.418862	−	0.112234i
$851$	1.08638	+	4.05442i	0.0372406	+	0.138984i
$852$	−3.37563	−	0.904497i	−0.115647	−	0.0309875i
$853$	−8.78820	+	8.78820i	−0.300902	+	0.300902i	−0.841367	−	0.540465i	$-0.818249\pi$
$853$	−8.78820	+	8.78820i	−0.300902	+	0.300902i	0.540465	+	0.841367i	$0.318249\pi$
$854$	−27.3104	+	8.12112i	−0.934542	+	0.277899i
$855$		−	0.705624i		−	0.0241318i
$856$	−1.49773	+	5.58961i	−0.0511914	+	0.191049i
$857$	−6.45170	+	11.1747i	−0.220386	+	0.381720i	−0.954925	−	0.296847i	$-0.904065\pi$
$857$	−6.45170	+	11.1747i	−0.220386	+	0.381720i	0.734539	+	0.678566i	$0.237398\pi$
$858$	−11.2881	−	4.61243i	−0.385369	−	0.157466i
$859$	−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
$863$	−39.0381	−	10.4602i	−1.32887	−	0.356070i	−0.476577	−	0.879133i	$-0.658123\pi$
$863$	−39.0381	−	10.4602i	−1.32887	−	0.356070i	−0.852294	+	0.523063i	$0.824789\pi$
$864$	−5.55802	+	1.48927i	−0.189088	+	0.0506659i
$865$	−0.622754	+	0.166866i	−0.0211743	+	0.00567363i
$866$	7.51729	+	2.01425i	0.255448	+	0.0684471i
$867$			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
$871$	−11.8940	−	28.3299i	−0.403012	−	0.959921i
$872$	24.1321	−	41.7981i	0.817217	−	1.41546i
$873$	0.0742355	−	0.277051i	0.00251249	−	0.00937675i
$874$		−	1.76637i		−	0.0597484i
$875$	−21.8721	+	23.0972i	−0.739411	+	0.780828i
$876$	6.75023	−	6.75023i	0.228069	−	0.228069i
$877$	−25.7204	−	6.89176i	−0.868516	−	0.232718i	−0.203070	−	0.979164i	$-0.565092\pi$
$877$	−25.7204	−	6.89176i	−0.868516	−	0.232718i	−0.665446	+	0.746446i	$0.731759\pi$
$878$	3.14692	+	11.7445i	0.106203	+	0.396357i
$879$	−10.2721	+	2.75239i	−0.346468	+	0.0928359i
$880$	−1.48118	+	0.855160i	−0.0499306	+	0.0288275i
$881$	14.3611			0.483839			0.241919	−	0.970296i	$-0.422223\pi$
$881$	14.3611			0.483839			0.241919	+	0.970296i	$0.422223\pi$
$882$	−1.83105	−	5.59511i	−0.0616547	−	0.188397i
$883$			23.1087i			0.777669i	0.921308	+	0.388834i	$0.127122\pi$
$883$			23.1087i			0.777669i	−0.921308	+	0.388834i	$0.872878\pi$
$884$	24.6189	−	19.0789i	0.828024	−	0.641692i
$885$	0.348976	+	0.201482i	0.0117307	+	0.00677273i
$886$	−4.37466	−	16.3265i	−0.146970	−	0.548498i
$887$	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
$889$	0.217102	+	7.96880i	0.00728138	+	0.267265i
$890$	7.72729	−	7.72729i	0.259019	−	0.259019i
$891$	1.04081	−	3.88434i	0.0348683	−	0.130130i
$892$	0.174247	+	0.650298i	0.00583422	+	0.0217736i
$893$	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
$899$	45.4232	−	12.1711i	1.51495	−	0.405929i
$900$	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
$903$	11.7814	−	21.7534i	0.392060	−	0.723909i
$904$	−38.9205	−	38.9205i	−1.29448	−	1.29448i
$905$	−3.18353	+	11.8811i	−0.105824	+	0.394941i
$906$	−17.3815	−	10.0352i	−0.577461	−	0.333398i
$907$	7.37011	+	4.25514i	0.244721	+	0.141289i	0.617344	−	0.786693i	$-0.288208\pi$
$907$	7.37011	+	4.25514i	0.244721	+	0.141289i	−0.372624	+	0.927982i	$0.621542\pi$
$908$	−19.1327	−	5.12660i	−0.634942	−	0.170132i
$909$	−14.9977			−0.497443
$910$	4.69548	−	12.4493i	0.155654	−	0.412691i
$911$	−0.840345			−0.0278419			−0.0139209	−	0.999903i	$-0.504431\pi$
$911$	−0.840345			−0.0278419			−0.0139209	+	0.999903i	$0.504431\pi$
$912$	−0.105394	−	0.0282402i	−0.00348994	−	0.000935127i
$913$	20.3338	+	11.7397i	0.672949	+	0.388527i
$914$	4.47462	+	2.58342i	0.148007	+	0.0854520i
$915$	5.49634	−	20.5126i	0.181703	−	0.678126i
$916$	−5.31709	−	5.31709i	−0.175682	−	0.175682i
$917$	−0.0424327	+	0.0260646i	−0.00140125	+	0.000860727i
$918$	−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
$921$	21.6520	−	5.80164i	0.713458	−	0.191171i
$922$	−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
$928$	10.7026	+	39.9425i	0.351329	+	1.31118i
$929$	−1.64049	+	6.12239i	−0.0538227	+	0.200869i	−0.987602	−	0.156982i	$-0.949824\pi$
$929$	−1.64049	+	6.12239i	−0.0538227	+	0.200869i	0.933779	+	0.357851i	$0.116490\pi$
$930$	−6.45371	+	6.45371i	−0.211626	+	0.211626i
$931$	0.613062	−	2.91452i	0.0200923	−	0.0955196i
$932$	−9.90907			−0.324582
$933$	−4.26901	+	2.46471i	−0.139761	+	0.0806911i
$934$	2.84607	+	10.6217i	0.0931261	+	0.347551i
$935$	−38.5964	−	22.2836i	−1.26224	−	0.728753i
$936$	−1.25579	+	9.90522i	−0.0410467	+	0.323762i
$937$			18.2047i			0.594720i	0.954765	+	0.297360i	$0.0961062\pi$
$937$			18.2047i			0.594720i	−0.954765	+	0.297360i	$0.903894\pi$
$938$	−0.516402	−	18.9547i	−0.0168611	−	0.618893i
$939$	4.04770			0.132092
$940$	−2.71616	+	1.56817i	−0.0885912	+	0.0511482i
$941$	14.1147	−	3.78203i	0.460127	−	0.123291i	−0.0213073	−	0.999773i	$-0.506783\pi$
$941$	14.1147	−	3.78203i	0.460127	−	0.123291i	0.481434	+	0.876482i	$0.340116\pi$
$942$	4.13720	+	15.4402i	0.134797	+	0.503070i
$943$	−12.2021	−	3.26954i	−0.397354	−	0.106471i
$944$	0.0440604	−	0.0440604i	0.00143404	−	0.00143404i
$945$	4.26769	+	1.01981i	0.138828	+	0.0331745i
$946$		−	31.6234i		−	1.02816i
$947$	6.10489	−	22.7837i	0.198382	−	0.740372i	−0.792983	−	0.609243i	$-0.791473\pi$
$947$	6.10489	−	22.7837i	0.198382	−	0.740372i	0.991365	−	0.131129i	$-0.0418601\pi$
$948$	0.121355	−	0.210193i	0.00394142	−	0.00682674i
$949$	−10.3072	−	24.5503i	−0.334585	−	0.796936i
$950$	−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	$-0.931386\pi$
$953$		−	13.2060i		−	0.427783i	0.976857	−	0.213892i	$-0.0686139\pi$
$954$	−2.85651	−	0.765399i	−0.0924829	−	0.0247807i
$955$	−27.6682	+	7.41367i	−0.895321	+	0.239901i
$956$	1.15868	−	0.310468i	0.0374745	−	0.0100413i
$957$	−27.9147	−	7.47972i	−0.902354	−	0.241785i
$958$		−	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
$962$	−0.975290	+	2.38684i	−0.0314446	+	0.0769549i
$963$	−1.04485	+	1.80973i	−0.0336697	+	0.0583177i
$964$	−0.166965	+	0.623123i	−0.00537759	+	0.0200694i
$965$		−	26.9521i		−	0.867620i
$966$	10.6832	+	2.55287i	0.343726	+	0.0821371i
$967$	−28.5716	+	28.5716i	−0.918801	+	0.918801i	−0.996942	−	0.0781414i	$-0.975101\pi$
$967$	−28.5716	+	28.5716i	−0.918801	+	0.918801i	0.0781414	+	0.996942i	$0.475101\pi$
$968$	13.8327	+	3.70645i	0.444599	+	0.119130i
$969$	−0.735879	−	2.74634i	−0.0236398	−	0.0882251i
$970$	0.386425	−	0.103542i	0.0124074	−	0.00332455i
$971$	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
$973$	−1.47870	−	54.2763i	−0.0474051	−	1.74002i
$974$		−	17.0253i		−	0.545524i
$975$	−4.96834	−	6.41102i	−0.159114	−	0.205317i
$976$	−2.84385	−	1.64190i	−0.0910293	−	0.0525558i
$977$	−6.74620	−	25.1772i	−0.215830	−	0.805489i	−0.985873	−	0.167496i	$-0.946432\pi$
$977$	−6.74620	−	25.1772i	−0.215830	−	0.805489i	0.770043	−	0.637992i	$-0.220235\pi$
$978$	1.99374	−	1.15108i	0.0637527	−	0.0368076i
$979$	31.5072			1.00697
$980$	−10.0181	+	11.1737i	−0.320017	+	0.356929i
$981$	12.3241	−	12.3241i	0.393479	−	0.393479i
$982$	6.42234	−	23.9685i	0.204945	−	0.764866i
$983$	−13.1020	−	48.8972i	−0.417888	−	1.55958i	−0.778981	−	0.627048i	$-0.784263\pi$
$983$	−13.1020	−	48.8972i	−0.417888	−	1.55958i	0.361093	−	0.932530i	$-0.382404\pi$
$984$	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
$990$	5.41781	−	1.45170i	0.172189	−	0.0461380i
$991$	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
$994$	−5.12568	+	3.14848i	−0.162577	+	0.0998637i
$995$	−14.4800	−	14.4800i	−0.459046	−	0.459046i
$996$	1.95346	−	7.29043i	0.0618979	−	0.231006i
$997$	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
$999$	−0.821337	−	0.220076i	−0.0259859	−	0.00696291i

Twists

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

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.bz.a.31.4	✓	36	1.1	even	1	trivial
273.2.bz.a.229.4	yes	36	91.47	even	12	inner
273.2.bz.b.73.6	yes	36	13.8	odd	4
273.2.bz.b.187.6	yes	36	7.5	odd	6
819.2.fn.f.577.6		36	3.2	odd	2
819.2.fn.f.775.6		36	273.47	odd	12
819.2.fn.g.73.4		36	39.8	even	4
819.2.fn.g.460.4		36	21.5	even	6

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)

\(f(q)\)	\(=\)	\(q+(-0.812358 - 0.217671i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(-1.11951 - 0.646347i) q^{4} +(0.429239 - 1.60194i) q^{5} +(0.594687 + 0.594687i) q^{6} +(-2.64477 + 0.0720542i) q^{7} +(1.95812 + 1.95812i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})\)	\(q+(-0.812358 - 0.217671i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(-1.11951 - 0.646347i) q^{4} +(0.429239 - 1.60194i) q^{5} +(0.594687 + 0.594687i) q^{6} +(-2.64477 + 0.0720542i) q^{7} +(1.95812 + 1.95812i) q^{8} +(0.500000 + 0.866025i) q^{9} +(-0.697391 + 1.20792i) q^{10} +(-3.88434 + 1.04081i) 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} +(-0.217671 - 0.812358i) q^{18} +(0.110120 - 0.410974i) q^{19} +(-1.51595 + 1.51595i) q^{20} +(2.32647 + 1.25998i) q^{21} +3.38203 q^{22} +(-4.27502 + 2.46818i) q^{23} +(-0.716723 - 2.67485i) q^{24} +(1.94816 + 1.12477i) q^{25} +(-3.00824 - 0.381386i) q^{26} -1.00000i q^{27} +(3.00741 + 1.62877i) q^{28} -7.18647 q^{29} +(1.20792 - 0.697391i) q^{30} +(-6.32066 + 1.69361i) q^{31} +(-1.48927 - 5.55802i) q^{32} +(3.88434 + 1.04081i) q^{33} +(3.97400 - 3.97400i) q^{34} +(-1.01981 + 4.26769i) q^{35} -1.29269i q^{36} +(0.220076 - 0.821337i) q^{37} +(-0.178914 + 0.309888i) q^{38} +(-3.33767 - 1.36381i) q^{39} +(3.97730 - 2.29630i) q^{40} +(1.80954 + 1.80954i) q^{41} +(-1.61566 - 1.52996i) q^{42} -9.35042i q^{43} +(5.02127 + 1.34544i) q^{44} +(1.60194 - 0.429239i) q^{45} +(4.01010 - 1.07450i) q^{46} +(1.41309 + 0.378636i) q^{47} -0.256449i q^{48} +(6.98962 - 0.381134i) q^{49} +(-1.33777 - 1.33777i) q^{50} +(5.78722 - 3.34125i) q^{51} +(-4.31459 - 1.76299i) q^{52} +(1.75816 - 3.04522i) q^{53} +(-0.217671 + 0.812358i) q^{54} +6.66924i q^{55} +(-5.31988 - 5.03769i) q^{56} +(-0.300854 + 0.300854i) q^{57} +(5.83798 + 1.56428i) q^{58} +(-0.0628867 - 0.234696i) q^{59} +(2.07082 - 0.554875i) q^{60} +(-11.0893 + 6.40242i) q^{61} +5.50328 q^{62} +(-1.38479 - 2.25441i) q^{63} +4.32637i q^{64} +(0.752081 - 5.93215i) q^{65} +(-2.92892 - 1.69101i) q^{66} +(-2.20557 - 8.23132i) q^{67} +(7.48111 - 4.31922i) q^{68} +4.93637 q^{69} +(1.75740 - 3.24491i) q^{70} +(-1.91161 + 1.91161i) q^{71} +(-0.716723 + 2.67485i) q^{72} +(-1.91132 - 7.13315i) 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} +(0.410816 - 0.110078i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(-1.07611 - 1.86387i) q^{82} +(-4.12856 - 4.12856i) q^{83} +(-1.79011 - 2.91427i) q^{84} +(7.83659 + 7.83659i) q^{85} +(-2.03531 + 7.59589i) q^{86} +(6.22366 + 3.59323i) q^{87} +(-9.64404 - 5.56799i) q^{88} +(-7.56797 - 2.02783i) q^{89} -1.39478 q^{90} +(-9.41306 + 1.54738i) q^{91} +6.38122 q^{92} +(6.32066 + 1.69361i) q^{93} +(-1.06551 - 0.615175i) q^{94} +(-0.611089 - 0.352812i) q^{95} +(-1.48927 + 5.55802i) q^{96} +(-0.202815 - 0.202815i) q^{97} +(-5.76103 - 1.21182i) q^{98} +(-2.84354 - 2.84354i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 36 q - 6 q^{7} + 18 q^{9}+O(q^{10}) \) 36 * q - 6 * q^7 + 18 * q^9	\( 36 q - 6 q^{7} + 18 q^{9} + 4 q^{11} - 16 q^{12} - 36 q^{14} + 12 q^{16} + 4 q^{17} - 18 q^{19} + 44 q^{20} + 2 q^{21} - 8 q^{22} - 12 q^{23} - 18 q^{24} - 48 q^{25} - 32 q^{26} + 4 q^{28} - 16 q^{29} - 6 q^{31} + 76 q^{32} - 4 q^{33} - 48 q^{34} + 8 q^{35} - 8 q^{37} + 16 q^{38} + 10 q^{39} + 60 q^{40} - 32 q^{41} + 12 q^{42} + 4 q^{44} + 28 q^{46} + 14 q^{47} + 6 q^{49} - 68 q^{50} - 12 q^{51} - 62 q^{52} - 8 q^{53} - 8 q^{56} - 6 q^{57} + 36 q^{58} + 26 q^{59} - 46 q^{60} + 36 q^{61} + 48 q^{62} - 8 q^{65} - 40 q^{67} + 36 q^{68} - 8 q^{69} - 64 q^{70} - 36 q^{71} - 18 q^{72} - 8 q^{73} + 40 q^{74} + 10 q^{75} - 60 q^{76} + 60 q^{77} + 32 q^{78} + 26 q^{80} - 18 q^{81} + 24 q^{83} - 18 q^{84} + 44 q^{85} + 48 q^{86} + 36 q^{87} + 168 q^{88} + 10 q^{89} + 4 q^{91} - 40 q^{92} + 6 q^{93} + 76 q^{96} + 36 q^{97} + 38 q^{98} + 8 q^{99}+O(q^{100}) \) 36 * q - 6 * q^7 + 18 * q^9 + 4 * q^11 - 16 * q^12 - 36 * q^14 + 12 * q^16 + 4 * q^17 - 18 * q^19 + 44 * q^20 + 2 * q^21 - 8 * q^22 - 12 * q^23 - 18 * q^24 - 48 * q^25 - 32 * q^26 + 4 * q^28 - 16 * q^29 - 6 * q^31 + 76 * q^32 - 4 * q^33 - 48 * q^34 + 8 * q^35 - 8 * q^37 + 16 * q^38 + 10 * q^39 + 60 * q^40 - 32 * q^41 + 12 * q^42 + 4 * q^44 + 28 * q^46 + 14 * q^47 + 6 * q^49 - 68 * q^50 - 12 * q^51 - 62 * q^52 - 8 * q^53 - 8 * q^56 - 6 * q^57 + 36 * q^58 + 26 * q^59 - 46 * q^60 + 36 * q^61 + 48 * q^62 - 8 * q^65 - 40 * q^67 + 36 * q^68 - 8 * q^69 - 64 * q^70 - 36 * q^71 - 18 * q^72 - 8 * q^73 + 40 * q^74 + 10 * q^75 - 60 * q^76 + 60 * q^77 + 32 * q^78 + 26 * q^80 - 18 * q^81 + 24 * q^83 - 18 * q^84 + 44 * q^85 + 48 * q^86 + 36 * q^87 + 168 * q^88 + 10 * q^89 + 4 * q^91 - 40 * q^92 + 6 * q^93 + 76 * q^96 + 36 * q^97 + 38 * q^98 + 8 * q^99

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