LMFDB - Embedded newform 273.2.cd.e.200.20

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [273,2,Mod(44,273)]

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([6, 4, 9]))

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

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

chi := DirichletCharacter("273.44");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 273 = 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	273.cd (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:	$112$
Relative dimension:	$28$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			200.20
Character	$\chi$	$=$	273.200
Dual form			273.2.cd.e.86.20

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.416100 - 1.55291i) q^{2} +(1.23724 + 1.21212i) q^{3} +(-0.506326 - 0.292327i) q^{4} +(-0.0245087 + 0.0914679i) q^{5} +(2.39712 - 1.41696i) q^{6} +(0.575745 + 2.58235i) q^{7} +(1.60897 - 1.60897i) q^{8} +(0.0615393 + 2.99937i) q^{9} +O(q^{10})$	\(q+(0.416100 - 1.55291i) q^{2} +(1.23724 + 1.21212i) q^{3} +(-0.506326 - 0.292327i) q^{4} +(-0.0245087 + 0.0914679i) q^{5} +(2.39712 - 1.41696i) q^{6} +(0.575745 + 2.58235i) q^{7} +(1.60897 - 1.60897i) q^{8} +(0.0615393 + 2.99937i) q^{9} +(0.131843 + 0.0761195i) q^{10} +(0.340528 + 1.27087i) q^{11} +(-0.272113 - 0.975407i) q^{12} +(-3.58226 - 0.409129i) q^{13} +(4.24971 + 0.180437i) q^{14} +(-0.141193 + 0.0834605i) q^{15} +(-2.41374 - 4.18073i) q^{16} +(3.46014 - 5.99314i) q^{17} +(4.68334 + 1.15247i) q^{18} +(-5.35909 - 1.43596i) q^{19} +(0.0391480 - 0.0391480i) q^{20} +(-2.41777 + 3.89286i) q^{21} +2.11523 q^{22} +(-0.322094 - 0.557883i) q^{23} +(3.94095 - 0.0404248i) q^{24} +(4.32236 + 2.49552i) q^{25} +(-2.12592 + 5.39268i) q^{26} +(-3.55945 + 3.78554i) q^{27} +(0.463376 - 1.47582i) q^{28} -4.67163i q^{29} +(0.0708558 + 0.253987i) q^{30} +(-1.33897 - 4.99711i) q^{31} +(-3.10084 + 0.830867i) q^{32} +(-1.11913 + 1.98513i) q^{33} +(-7.86701 - 7.86701i) q^{34} +(-0.250313 - 0.0106279i) q^{35} +(0.845639 - 1.53665i) q^{36} +(0.829364 - 3.09523i) q^{37} +(-4.45983 + 7.72465i) q^{38} +(-3.93622 - 4.84832i) q^{39} +(0.107735 + 0.186603i) q^{40} +(-2.51881 - 2.51881i) q^{41} +(5.03921 + 5.37439i) q^{42} +9.36807i q^{43} +(0.199091 - 0.743019i) q^{44} +(-0.275854 - 0.0678819i) q^{45} +(-1.00036 + 0.268046i) q^{46} +(-12.6118 - 3.37931i) q^{47} +(2.08115 - 8.09832i) q^{48} +(-6.33704 + 2.97355i) q^{49} +(5.67384 - 5.67384i) q^{50} +(11.5454 - 3.22087i) q^{51} +(1.69419 + 1.25435i) q^{52} +(1.44273 + 0.832960i) q^{53} +(4.39750 + 7.10265i) q^{54} -0.124589 q^{55} +(5.08128 + 3.22857i) q^{56} +(-4.88993 - 8.27248i) q^{57} +(-7.25459 - 1.94386i) q^{58} +(1.23105 + 4.59432i) q^{59} +(0.0958875 - 0.000983578i) q^{60} +(7.28610 + 12.6199i) q^{61} -8.31719 q^{62} +(-7.70998 + 1.88579i) q^{63} -4.49394i q^{64} +(0.125219 - 0.317635i) q^{65} +(2.61705 + 2.56391i) q^{66} +(0.170942 + 0.637963i) q^{67} +(-3.50392 + 2.02299i) q^{68} +(0.277712 - 1.08065i) q^{69} +(-0.120659 + 0.384290i) q^{70} +(2.60306 + 2.60306i) q^{71} +(4.92492 + 4.72689i) q^{72} +(7.71706 - 2.06778i) q^{73} +(-4.46150 - 2.57585i) q^{74} +(2.32295 + 8.32677i) q^{75} +(2.29367 + 2.29367i) q^{76} +(-3.08576 + 1.61106i) q^{77} +(-9.16684 + 4.09519i) q^{78} +(1.37794 + 2.38667i) q^{79} +(0.441560 - 0.118316i) q^{80} +(-8.99243 + 0.369158i) q^{81} +(-4.95954 + 2.86339i) q^{82} +(8.71510 + 8.71510i) q^{83} +(2.36217 - 1.26428i) q^{84} +(0.463376 + 0.463376i) q^{85} +(14.5477 + 3.89805i) q^{86} +(5.66256 - 5.77994i) q^{87} +(2.59269 + 1.49689i) q^{88} +(-14.3723 - 3.85105i) q^{89} +(-0.220197 + 0.400130i) q^{90} +(-1.00596 - 9.48620i) q^{91} +0.376627i q^{92} +(4.40046 - 7.80563i) q^{93} +(-10.4955 + 18.1788i) q^{94} +(0.262689 - 0.454991i) q^{95} +(-4.84360 - 2.73060i) q^{96} +(-0.0645525 + 0.0645525i) q^{97} +(1.98080 + 11.0781i) q^{98} +(-3.79085 + 1.09958i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 112 q - 12 q^{3} - 8 q^{6} - 4 q^{7} + 8 q^{9}+O(q^{10}) $ 112 * q - 12 * q^3 - 8 * q^6 - 4 * q^7 + 8 * q^9	$ 112 q - 12 q^{3} - 8 q^{6} - 4 q^{7} + 8 q^{9} - 48 q^{13} - 12 q^{15} + 40 q^{16} - 26 q^{18} + 40 q^{19} - 10 q^{21} + 16 q^{22} + 32 q^{24} - 24 q^{27} - 52 q^{28} - 12 q^{31} - 44 q^{33} + 16 q^{34} - 8 q^{37} - 42 q^{39} - 160 q^{40} - 80 q^{42} + 6 q^{45} + 32 q^{46} + 72 q^{48} - 12 q^{52} + 34 q^{54} - 48 q^{55} - 24 q^{57} - 28 q^{58} + 44 q^{60} + 78 q^{63} + 4 q^{66} + 24 q^{67} - 12 q^{70} - 26 q^{72} - 40 q^{73} + 112 q^{76} + 32 q^{78} + 48 q^{79} + 128 q^{81} - 150 q^{84} + 160 q^{85} - 48 q^{87} + 24 q^{91} + 10 q^{93} - 8 q^{94} - 106 q^{96} + 56 q^{97} - 36 q^{99}+O(q^{100}) $ 112 * q - 12 * q^3 - 8 * q^6 - 4 * q^7 + 8 * q^9 - 48 * q^13 - 12 * q^15 + 40 * q^16 - 26 * q^18 + 40 * q^19 - 10 * q^21 + 16 * q^22 + 32 * q^24 - 24 * q^27 - 52 * q^28 - 12 * q^31 - 44 * q^33 + 16 * q^34 - 8 * q^37 - 42 * q^39 - 160 * q^40 - 80 * q^42 + 6 * q^45 + 32 * q^46 + 72 * q^48 - 12 * q^52 + 34 * q^54 - 48 * q^55 - 24 * q^57 - 28 * q^58 + 44 * q^60 + 78 * q^63 + 4 * q^66 + 24 * q^67 - 12 * q^70 - 26 * q^72 - 40 * q^73 + 112 * q^76 + 32 * q^78 + 48 * q^79 + 128 * q^81 - 150 * q^84 + 160 * q^85 - 48 * q^87 + 24 * q^91 + 10 * q^93 - 8 * q^94 - 106 * q^96 + 56 * q^97 - 36 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$92$	$106$	$157$
$\chi(n)$	$-1$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{2}{3}\right)$

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 $

$2$	0.416100	−	1.55291i	0.294227	−	1.09807i	−0.647602	−	0.761979i	$-0.724228\pi$
$2$	0.416100	−	1.55291i	0.294227	−	1.09807i	0.941829	−	0.336092i	$-0.109105\pi$
$3$	1.23724	+	1.21212i	0.714322	+	0.699817i
$3$	1.23724	+	1.21212i	0.714322	+	0.699817i
$4$	−0.506326	−	0.292327i	−0.253163	−	0.146164i
$5$	−0.0245087	+	0.0914679i	−0.0109606	+	0.0409057i	−0.971190	−	0.238308i	$-0.923407\pi$
$5$	−0.0245087	+	0.0914679i	−0.0109606	+	0.0409057i	0.960229	+	0.279214i	$0.0900738\pi$
$6$	2.39712	−	1.41696i	0.978621	−	0.578471i
$7$	0.575745	+	2.58235i	0.217611	+	0.976036i
$7$	0.575745	+	2.58235i	0.217611	+	0.976036i
$8$	1.60897	−	1.60897i	0.568858	−	0.568858i
$9$	0.0615393	+	2.99937i	0.0205131	+	0.999790i
$10$	0.131843	+	0.0761195i	0.0416924	+	0.0240711i
$11$	0.340528	+	1.27087i	0.102673	+	0.383181i	0.998071	−	0.0620862i	$-0.0197754\pi$
$11$	0.340528	+	1.27087i	0.102673	+	0.383181i	−0.895398	+	0.445267i	$0.853109\pi$
$12$	−0.272113	−	0.975407i	−0.0785522	−	0.281576i
$13$	−3.58226	−	0.409129i	−0.993541	−	0.113472i
$13$	−3.58226	−	0.409129i	−0.993541	−	0.113472i
$14$	4.24971	+	0.180437i	1.13578	+	0.0482238i
$15$	−0.141193	+	0.0834605i	−0.0364559	+	0.0215494i
$16$	−2.41374	−	4.18073i	−0.603436	−	1.04518i
$17$	3.46014	−	5.99314i	0.839207	−	1.45355i	−0.0513515	−	0.998681i	$-0.516353\pi$
$17$	3.46014	−	5.99314i	0.839207	−	1.45355i	0.890559	−	0.454869i	$-0.150314\pi$
$18$	4.68334	+	1.15247i	1.10387	+	0.271640i
$19$	−5.35909	−	1.43596i	−1.22946	−	0.329432i	−0.415090	−	0.909780i	$-0.636250\pi$
$19$	−5.35909	−	1.43596i	−1.22946	−	0.329432i	−0.814369	+	0.580348i	$0.802917\pi$
$20$	0.0391480	−	0.0391480i	0.00875376	−	0.00875376i
$21$	−2.41777	+	3.89286i	−0.527602	+	0.849492i
$22$	2.11523			0.450969
$23$	−0.322094	−	0.557883i	−0.0671612	−	0.116327i	0.830489	−	0.557034i	$-0.188061\pi$
$23$	−0.322094	−	0.557883i	−0.0671612	−	0.116327i	−0.897651	+	0.440708i	$0.854728\pi$
$24$	3.94095	−	0.0404248i	0.804444	−	0.00825168i
$25$	4.32236	+	2.49552i	0.864472	+	0.499103i
$26$	−2.12592	+	5.39268i	−0.416927	+	1.05759i
$27$	−3.55945	+	3.78554i	−0.685017	+	0.728528i
$28$	0.463376	−	1.47582i	0.0875699	−	0.278903i
$29$		−	4.67163i		−	0.867499i	−0.901033	−	0.433750i	$-0.857190\pi$
$29$		−	4.67163i		−	0.867499i	0.901033	−	0.433750i	$-0.142810\pi$
$30$	0.0708558	+	0.253987i	0.0129364	+	0.0463716i
$31$	−1.33897	−	4.99711i	−0.240486	−	0.897508i	−0.975599	−	0.219562i	$-0.929537\pi$
$31$	−1.33897	−	4.99711i	−0.240486	−	0.897508i	0.735112	−	0.677946i	$-0.237130\pi$
$32$	−3.10084	+	0.830867i	−0.548156	+	0.146878i
$33$	−1.11913	+	1.98513i	−0.194815	+	0.345567i
$34$	−7.86701	−	7.86701i	−1.34918	−	1.34918i
$35$	−0.250313	−	0.0106279i	−0.0423106	−	0.00179645i
$36$	0.845639	−	1.53665i	0.140940	−	0.256108i
$37$	0.829364	−	3.09523i	0.136347	−	0.508852i	−0.863642	−	0.504105i	$-0.831822\pi$
$37$	0.829364	−	3.09523i	0.136347	−	0.508852i	0.999989	−	0.00474698i	$-0.00151102\pi$
$38$	−4.45983	+	7.72465i	−0.723480	+	1.25310i
$39$	−3.93622	−	4.84832i	−0.630299	−	0.776352i
$40$	0.107735	+	0.186603i	0.0170345	+	0.0295046i
$41$	−2.51881	−	2.51881i	−0.393372	−	0.393372i	0.482516	−	0.875887i	$-0.339723\pi$
$41$	−2.51881	−	2.51881i	−0.393372	−	0.393372i	−0.875887	+	0.482516i	$0.839723\pi$
$42$	5.03921	+	5.37439i	0.777567	+	0.829287i
$43$			9.36807i			1.42862i	0.699831	+	0.714309i	$0.253259\pi$
$43$			9.36807i			1.42862i	−0.699831	+	0.714309i	$0.746741\pi$
$44$	0.199091	−	0.743019i	0.0300142	−	0.112014i
$45$	−0.275854	−	0.0678819i	−0.0411219	−	0.0101192i
$46$	−1.00036	+	0.268046i	−0.147495	+	0.0395213i
$47$	−12.6118	−	3.37931i	−1.83962	−	0.492924i	−0.840790	−	0.541362i	$-0.817909\pi$
$47$	−12.6118	−	3.37931i	−1.83962	−	0.492924i	−0.998826	+	0.0484380i	$0.984576\pi$
$48$	2.08115	−	8.09832i	0.300388	−	1.16889i
$49$	−6.33704	+	2.97355i	−0.905291	+	0.424792i
$50$	5.67384	−	5.67384i	0.802401	−	0.802401i
$51$	11.5454	−	3.22087i	1.61668	−	0.451012i
$52$	1.69419	+	1.25435i	0.234942	+	0.173947i
$53$	1.44273	+	0.832960i	0.198174	+	0.114416i	0.595804	−	0.803130i	$-0.296834\pi$
$53$	1.44273	+	0.832960i	0.198174	+	0.114416i	−0.397629	+	0.917546i	$0.630167\pi$
$54$	4.39750	+	7.10265i	0.598424	+	0.966549i
$55$	−0.124589			−0.0167996
$56$	5.08128	+	3.22857i	0.679015	+	0.431436i
$57$	−4.88993	−	8.27248i	−0.647688	−	1.09572i
$58$	−7.25459	−	1.94386i	−0.952575	−	0.255242i
$59$	1.23105	+	4.59432i	0.160268	+	0.598130i	0.998596	+	0.0529639i	$0.0168668\pi$
$59$	1.23105	+	4.59432i	0.160268	+	0.598130i	−0.838328	+	0.545166i	$0.816467\pi$
$60$	0.0958875		0.000983578i	0.0123790		0.000126979i
$61$	7.28610	+	12.6199i	0.932889	+	1.61581i	0.778355	+	0.627824i	$0.216054\pi$
$61$	7.28610	+	12.6199i	0.932889	+	1.61581i	0.154534	+	0.987987i	$0.450612\pi$
$62$	−8.31719			−1.05628
$63$	−7.70998	+	1.88579i	−0.971366	+	0.237587i
$64$		−	4.49394i		−	0.561743i
$65$	0.125219	−	0.317635i	0.0155315	−	0.0393977i
$66$	2.61705	+	2.56391i	0.322137	+	0.315596i
$67$	0.170942	+	0.637963i	0.0208839	+	0.0779396i	0.975581	−	0.219639i	$-0.0704878\pi$
$67$	0.170942	+	0.637963i	0.0208839	+	0.0779396i	−0.954697	+	0.297578i	$0.903821\pi$
$68$	−3.50392	+	2.02299i	−0.424912	+	0.245323i
$69$	0.277712	−	1.08065i	0.0334325	−	0.130095i
$70$	−0.120659	+	0.384290i	−0.0144215	+	0.0459314i
$71$	2.60306	+	2.60306i	0.308927	+	0.308927i	0.844493	−	0.535566i	$-0.179902\pi$
$71$	2.60306	+	2.60306i	0.308927	+	0.308927i	−0.535566	+	0.844493i	$0.679902\pi$
$72$	4.92492	+	4.72689i	0.580407	+	0.557069i
$73$	7.71706	−	2.06778i	0.903213	−	0.242015i	0.222817	−	0.974860i	$-0.428475\pi$
$73$	7.71706	−	2.06778i	0.903213	−	0.242015i	0.680396	+	0.732845i	$0.261808\pi$
$74$	−4.46150	−	2.57585i	−0.518639	−	0.299436i
$75$	2.32295	+	8.32677i	0.268231	+	0.961493i
$76$	2.29367	+	2.29367i	0.263102	+	0.263102i
$77$	−3.08576	+	1.61106i	−0.351656	+	0.183597i
$78$	−9.16684	+	4.09519i	−1.03794	+	0.463689i
$79$	1.37794	+	2.38667i	0.155031	+	0.268521i	0.933070	−	0.359694i	$-0.117119\pi$
$79$	1.37794	+	2.38667i	0.155031	+	0.268521i	−0.778040	+	0.628215i	$0.783786\pi$
$80$	0.441560	−	0.118316i	0.0493679	−	0.0132281i
$81$	−8.99243	+	0.369158i	−0.999158	+	0.0410175i
$82$	−4.95954	+	2.86339i	−0.547690	+	0.316209i
$83$	8.71510	+	8.71510i	0.956607	+	0.956607i	0.999097	−	0.0424900i	$-0.0135291\pi$
$83$	8.71510	+	8.71510i	0.956607	+	0.956607i	−0.0424900	+	0.999097i	$0.513529\pi$
$84$	2.36217	−	1.26428i	0.257734	−	0.137944i
$85$	0.463376	+	0.463376i	0.0502602	+	0.0502602i
$86$	14.5477	+	3.89805i	1.56872	+	0.420338i
$87$	5.66256	−	5.77994i	0.607090	−	0.619674i
$88$	2.59269	+	1.49689i	0.276382	+	0.159569i
$89$	−14.3723	−	3.85105i	−1.52346	−	0.408210i	−0.602581	−	0.798058i	$-0.705861\pi$
$89$	−14.3723	−	3.85105i	−1.52346	−	0.408210i	−0.920879	+	0.389848i	$0.872528\pi$
$90$	−0.220197	+	0.400130i	−0.0232108	+	0.0421774i
$91$	−1.00596	−	9.48620i	−0.105453	−	0.994424i
$92$			0.376627i			0.0392661i
$93$	4.40046	−	7.80563i	0.456306	−	0.809406i
$94$	−10.4955	+	18.1788i	−1.08253	+	1.87500i
$95$	0.262689	−	0.454991i	0.0269513	−	0.0466810i
$96$	−4.84360	−	2.73060i	−0.494348	−	0.278691i
$97$	−0.0645525	+	0.0645525i	−0.00655431	+	0.00655431i	−0.710376	−	0.703822i	$-0.751475\pi$
$97$	−0.0645525	+	0.0645525i	−0.00655431	+	0.00655431i	0.703822	+	0.710376i	$0.251475\pi$
$98$	1.98080	+	11.0781i	0.200091	+	1.11906i
$99$	−3.79085	+	1.09958i	−0.380994	+	0.110512i
$100$	−1.45902	−	2.52709i	−0.145902	−	0.252709i
$101$	−2.05612	+	3.56130i	−0.204591	+	0.354362i	−0.950002	−	0.312243i	$-0.898920\pi$
$101$	−2.05612	+	3.56130i	−0.204591	+	0.354362i	0.745411	+	0.666605i	$0.232253\pi$
$102$	−0.197656	−	19.2692i	−0.0195708	−	1.90793i
$103$	0.585530	−	0.338056i	0.0576939	−	0.0333096i	−0.470876	−	0.882200i	$-0.656062\pi$
$103$	0.585530	−	0.338056i	0.0576939	−	0.0333096i	0.528570	+	0.848890i	$0.322729\pi$
$104$	−6.42204	+	5.10549i	−0.629733	+	0.500634i
$105$	−0.296815	−	0.316558i	−0.0289662	−	0.0308929i
$106$	1.89383	−	1.89383i	0.183945	−	0.183945i
$107$	−7.92673	+	4.57650i	−0.766306	+	0.442427i	−0.831555	−	0.555442i	$-0.812549\pi$
$107$	−7.92673	+	4.57650i	−0.766306	+	0.442427i	0.0652491	+	0.997869i	$0.479216\pi$
$108$	2.90886	−	0.876192i	0.279905	−	0.0843117i
$109$	−1.25321	−	4.67706i	−0.120036	−	0.447981i	0.879578	−	0.475754i	$-0.157825\pi$
$109$	−1.25321	−	4.67706i	−0.120036	−	0.447981i	−0.999614	+	0.0277736i	$0.991158\pi$
$110$	−0.0518417	+	0.193476i	−0.00494291	+	0.0184472i
$111$	4.77791	−	2.82426i	0.453499	−	0.268067i
$112$	9.40639	−	8.64016i	0.888820	−	0.816418i
$113$		−	12.9955i		−	1.22251i	−0.791433	−	0.611256i	$-0.790664\pi$
$113$		−	12.9955i		−	1.22251i	0.791433	−	0.611256i	$-0.209336\pi$
$114$	−14.8811	+	4.15143i	−1.39374	+	0.388817i
$115$	0.0589225	−	0.0157882i	0.00549455	−	0.00147226i
$116$	−1.36564	+	2.36537i	−0.126797	+	0.219619i
$117$	1.00668	−	10.7697i	0.0930675	−	0.995660i
$118$	7.64679			0.703944
$119$	17.4685	+	5.48476i	1.60134	+	0.502787i
$120$	−0.0928903	+	0.361461i	−0.00847968	+	0.0329968i
$121$	8.02713	−	4.63447i	0.729739	−	0.421315i
$122$	22.6292	−	6.06349i	2.04876	−	0.548962i
$123$	−0.0632841	−	6.16947i	−0.00570613	−	0.556282i
$124$	−0.782837	+	2.92159i	−0.0703008	+	0.262366i
$125$	−0.668991	+	0.668991i	−0.0598364	+	0.0598364i
$126$	−0.279672	+	12.7575i	−0.0249152	+	1.13653i
$127$		−	7.22848i		−	0.641424i	−0.947177	−	0.320712i	$-0.896078\pi$
$127$		−	7.22848i		−	0.641424i	0.947177	−	0.320712i	$-0.103922\pi$
$128$	−13.1803	−	3.53166i	−1.16499	−	0.312158i
$129$	−11.3552	+	11.5906i	−0.999770	+	1.02049i
$130$	−0.441153	−	0.326621i	−0.0386917	−	0.0286466i
$131$	11.8817	−	6.85991i	1.03811	−	0.599353i	0.118813	−	0.992917i	$-0.462091\pi$
$131$	11.8817	−	6.85991i	1.03811	−	0.599353i	0.919297	+	0.393564i	$0.128758\pi$
$132$	1.14695	−	0.677973i	0.0998293	−	0.0590100i
$133$	0.622688	−	14.6658i	0.0539939	−	1.27168i
$134$	1.06183			0.0917278
$135$	−0.259018	−	0.418354i	−0.0222927	−	0.0360062i
$136$	−4.07552	−	15.2101i	−0.349473	−	1.30425i
$137$	2.89257	+	10.7952i	0.247129	+	0.922298i	0.972301	+	0.233731i	$0.0750934\pi$
$137$	2.89257	+	10.7952i	0.247129	+	0.922298i	−0.725172	+	0.688567i	$0.758240\pi$
$138$	−1.56259	−	0.880919i	−0.133017	−	0.0749888i
$139$	5.20892			0.441815			0.220907	−	0.975295i	$-0.429098\pi$
$139$	5.20892			0.441815			0.220907	+	0.975295i	$0.429098\pi$
$140$	0.123633	+	0.0785544i	0.0104489	+	0.00663906i
$141$	−11.5077	−	19.4680i	−0.969123	−	1.63950i
$142$	5.12545	−	2.95918i	0.430118	−	0.248329i
$143$	−0.699912	−	4.69190i	−0.0585296	−	0.392357i
$144$	12.3910	−	7.49699i	1.03258	−	0.624749i
$145$	0.427304	+	0.114496i	0.0354856	+	0.00950835i
$146$		−	12.8443i		−	1.06300i
$147$	−11.4447	−	4.00224i	−0.943946	−	0.330099i
$148$	−1.32475	+	1.32475i	−0.108894	+	0.108894i
$149$	3.76963	−	14.0685i	0.308820	−	1.15253i	−0.620786	−	0.783980i	$-0.713187\pi$
$149$	3.76963	−	14.0685i	0.308820	−	1.15253i	0.929607	−	0.368553i	$-0.120147\pi$
$150$	13.8973	−	0.142553i	1.13471	−	0.0116394i
$151$	−5.44647	+	1.45938i	−0.443227	+	0.118762i	−0.473529	−	0.880778i	$-0.657020\pi$
$151$	−5.44647	+	1.45938i	−0.443227	+	0.118762i	0.0303014	+	0.999541i	$0.490353\pi$
$152$	−10.9330	+	6.31220i	−0.886787	+	0.511987i
$153$	18.1886	+	10.0094i	1.47046	+	0.809214i
$154$	1.21783	+	5.46226i	0.0981358	+	0.440162i
$155$	0.489892			0.0393490
$156$	0.575712	+	3.60549i	0.0460939	+	0.288671i
$157$	−5.59520	+	9.69117i	−0.446545	+	0.773439i	−0.998158	−	0.0606608i	$-0.980679\pi$
$157$	−5.59520	+	9.69117i	−0.446545	+	0.773439i	0.551613	+	0.834100i	$0.314013\pi$
$158$	4.27963	−	1.14672i	0.340469	−	0.0912284i
$159$	0.775360	+	2.77933i	0.0614901	+	0.220415i
$160$		−	0.303991i		−	0.0240326i
$161$	1.25520	−	1.15296i	0.0989239	−	0.0908657i
$162$	−3.16848	+	14.1180i	−0.248939	+	1.10921i
$163$	−3.22040	+	12.0187i	−0.252241	+	0.941377i	0.717363	+	0.696699i	$0.245349\pi$
$163$	−3.22040	+	12.0187i	−0.252241	+	0.941377i	−0.969604	+	0.244678i	$0.921318\pi$
$164$	0.539021	+	2.01165i	0.0420905	+	0.157084i
$165$	−0.154147	−	0.151017i	−0.0120004	−	0.0117567i
$166$	17.1601	−	9.90738i	1.33188	−	0.768962i
$167$	7.87833	−	7.87833i	0.609643	−	0.609643i	−0.333210	−	0.942853i	$-0.608132\pi$
$167$	7.87833	−	7.87833i	0.609643	−	0.609643i	0.942853	+	0.333210i	$0.108132\pi$
$168$	2.37338	+	10.1536i	0.183110	+	0.783370i
$169$	12.6652	+	2.93122i	0.974248	+	0.225478i
$170$	0.912390	−	0.526768i	0.0699771	−	0.0404013i
$171$	3.97719	−	16.1622i	0.304143	−	1.23596i
$172$	2.73854	−	4.74330i	0.208812	−	0.361673i
$173$	−0.567430	−	0.982818i	−0.0431409	−	0.0747223i	0.843649	−	0.536896i	$-0.180403\pi$
$173$	−0.567430	−	0.982818i	−0.0431409	−	0.0747223i	−0.886790	+	0.462173i	$0.847070\pi$
$174$	−6.61950	−	11.1985i	−0.501823	−	0.848953i
$175$	−3.95571	+	12.5986i	−0.299024	+	0.952366i
$176$	4.49120	−	4.49120i	0.338537	−	0.338537i
$177$	−4.04576	+	7.17647i	−0.304098	+	0.539416i
$178$	−11.9606	+	20.7164i	−0.896486	+	1.55276i
$179$	−5.09544	+	8.82556i	−0.380851	+	0.659653i	−0.991184	−	0.132492i	$-0.957702\pi$
$179$	−5.09544	+	8.82556i	−0.380851	+	0.659653i	0.610333	+	0.792145i	$0.291036\pi$
$180$	0.119828	+	0.115010i	0.00893148	+	0.00857235i
$181$			4.89040i			0.363500i	0.983345	+	0.181750i	$0.0581762\pi$
$181$			4.89040i			0.363500i	−0.983345	+	0.181750i	$0.941824\pi$
$182$	−15.1498	−	2.38505i	−1.12297	−	0.176792i
$183$	−6.28213	+	24.4455i	−0.464388	+	1.80706i
$184$	−1.41586	−	0.379378i	−0.104378	−	0.0279681i
$185$	0.262787	+	0.151720i	0.0193205	+	0.0111547i
$186$	−10.2904	−	10.0814i	−0.754527	−	0.739205i
$187$	8.79476	+	2.35655i	0.643136	+	0.172328i
$188$	5.39780	+	5.39780i	0.393675	+	0.393675i
$189$	−11.8249	−	7.01223i	−0.860136	−	0.510065i
$190$	−0.597253	−	0.597253i	−0.0433293	−	0.0433293i
$191$	3.22875	−	1.86412i	0.233624	−	0.134883i	−0.378619	−	0.925553i	$-0.623601\pi$
$191$	3.22875	−	1.86412i	0.233624	−	0.134883i	0.612243	+	0.790670i	$0.290268\pi$
$192$	5.44719	−	5.56010i	0.393117	−	0.401265i
$193$	−12.6262	+	3.38318i	−0.908853	+	0.243526i	−0.682814	−	0.730592i	$-0.739244\pi$
$193$	−12.6262	+	3.38318i	−0.908853	+	0.243526i	−0.226039	+	0.974118i	$0.572578\pi$
$194$	0.0733836	+	0.127104i	0.00526864	+	0.00912555i
$195$	0.539937	−	0.241211i	0.0386657	−	0.0172735i
$196$	4.07786	+	0.346906i	0.291275	+	0.0247790i
$197$	−9.58576	−	9.58576i	−0.682957	−	0.682957i	0.277708	−	0.960665i	$-0.410425\pi$
$197$	−9.58576	−	9.58576i	−0.682957	−	0.682957i	−0.960665	+	0.277708i	$0.910425\pi$
$198$	0.130170	+	6.34436i	0.00925076	+	0.450874i
$199$	−2.20910	−	1.27542i	−0.156599	−	0.0904123i	0.419653	−	0.907685i	$-0.362152\pi$
$199$	−2.20910	−	1.27542i	−0.156599	−	0.0904123i	−0.576252	+	0.817272i	$0.695485\pi$
$200$	10.9698	−	2.93934i	0.775680	−	0.207843i
$201$	−0.561791	+	0.996517i	−0.0396257	+	0.0702889i
$202$	4.67481	+	4.67481i	0.328918	+	0.328918i
$203$	12.0638	−	2.68966i	0.846710	−	0.188777i
$204$	−6.78730	−	1.74423i	−0.475206	−	0.122121i
$205$	0.292123	−	0.168657i	0.0204027	−	0.0117795i
$206$	−0.281330	−	1.04994i	−0.0196012	−	0.0731526i
$207$	1.65347	−	1.00041i	0.114924	−	0.0695333i
$208$	6.93621	+	15.9640i	0.480940	+	1.10690i
$209$		−	7.29968i		−	0.504929i
$210$	−0.615089	+	0.329206i	−0.0424452	+	0.0227174i
$211$	20.8057			1.43232			0.716162	−	0.697934i	$-0.245897\pi$
$211$	20.8057			1.43232			0.716162	+	0.697934i	$0.245897\pi$
$212$	−0.486994	−	0.843499i	−0.0334469	−	0.0579317i
$213$	0.0654010	+	6.37584i	0.00448120	+	0.436866i
$214$	3.80856	+	14.2138i	0.260348	+	0.971632i
$215$	−0.856878	−	0.229600i	−0.0584386	−	0.0156586i
$216$	0.363772	+	11.8179i	0.0247516	+	0.804105i
$217$	12.1334	−	6.33475i	0.823667	−	0.430031i
$218$	−7.78449			−0.527232
$219$	12.0543	+	6.79564i	0.814552	+	0.459207i
$220$	0.0630829	+	0.0364209i	0.00425305	+	0.00245550i
$221$	−14.8471	+	20.0534i	−0.998724	+	1.34893i
$222$	−2.39773	−	8.59481i	−0.160925	−	0.576846i
$223$	−14.2103	+	14.2103i	−0.951595	+	0.951595i	−0.998881	−	0.0472861i	$-0.984943\pi$
$223$	−14.2103	+	14.2103i	−0.951595	+	0.951595i	0.0472861	+	0.998881i	$0.484943\pi$
$224$	−3.93088	−	7.52908i	−0.262643	−	0.503058i
$225$	−7.21898	+	13.1179i	−0.481265	+	0.874529i
$226$	−20.1808	−	5.40742i	−1.34240	−	0.359696i
$227$	−1.23925	+	0.332055i	−0.0822517	+	0.0220393i	−0.299710	−	0.954030i	$-0.596890\pi$
$227$	−1.23925	+	0.332055i	−0.0822517	+	0.0220393i	0.217459	+	0.976070i	$0.430223\pi$
$228$	0.0576277	+	5.61803i	0.00381649	+	0.372063i
$229$	−1.25914	+	4.69919i	−0.0832066	+	0.310531i	−0.994969	−	0.100188i	$-0.968056\pi$
$229$	−1.25914	+	4.69919i	−0.0832066	+	0.310531i	0.911762	+	0.410719i	$0.134722\pi$
$230$		−	0.0980705i		−	0.00646658i
$231$	−5.77063	−	1.74704i	−0.379680	−	0.114947i
$232$	−7.51652	−	7.51652i	−0.493484	−	0.493484i
$233$	12.6239	+	21.8653i	0.827021	+	1.43244i	0.900365	+	0.435136i	$0.143300\pi$
$233$	12.6239	+	21.8653i	0.827021	+	1.43244i	−0.0733435	+	0.997307i	$0.523367\pi$
$234$	−16.3055	−	6.04455i	−1.06592	−	0.395145i
$235$	0.618197	−	1.07075i	0.0403267	−	0.0698480i
$236$	0.719737	−	2.68609i	0.0468509	−	0.174850i
$237$	−1.18807	+	4.62312i	−0.0771736	+	0.300304i
$238$	15.7860	−	24.8448i	1.02325	−	1.61045i
$239$	11.6256	+	11.6256i	0.752000	+	0.752000i	0.974852	−	0.222853i	$-0.0715368\pi$
$239$	11.6256	+	11.6256i	0.752000	+	0.752000i	−0.222853	+	0.974852i	$0.571537\pi$
$240$	0.689730	+	0.388838i	0.0445219	+	0.0250994i
$241$	1.70868	−	0.457839i	0.110066	−	0.0294920i	−0.203366	−	0.979103i	$-0.565188\pi$
$241$	1.70868	−	0.457839i	0.110066	−	0.0294920i	0.313431	+	0.949611i	$0.398521\pi$
$242$	−3.85680	−	14.3938i	−0.247925	−	0.925267i
$243$	−11.5733	−	10.4431i	−0.742426	−	0.669928i
$244$		−	8.51971i		−	0.545418i
$245$	−0.116671	−	0.652513i	−0.00745385	−	0.0416875i
$246$	−9.60693	−	2.46884i	−0.612516	−	0.157407i
$247$	18.6102	+	7.33655i	1.18414	+	0.466814i
$248$	−10.1946	−	5.88585i	−0.647357	−	0.373752i
$249$	0.218964	+	21.3464i	0.0138763	+	1.35278i
$250$	0.760513	+	1.31725i	0.0480990	+	0.0833100i
$251$	10.4449			0.659279			0.329639	−	0.944107i	$-0.393073\pi$
$251$	10.4449			0.659279			0.329639	+	0.944107i	$0.393073\pi$
$252$	4.45503	+	1.29902i	0.280641	+	0.0818303i
$253$	0.599313	−	0.599313i	0.0376785	−	0.0376785i
$254$	−11.2251	−	3.00777i	−0.704328	−	0.188724i
$255$	0.0116421	+	1.13497i	0.000729059	+	0.0710749i
$256$	−6.47474	+	11.2146i	−0.404671	+	0.700911i
$257$	1.19260	+	2.06564i	0.0743922	+	0.128851i	0.900822	−	0.434189i	$-0.142965\pi$
$257$	1.19260	+	2.06564i	0.0743922	+	0.128851i	−0.826430	+	0.563040i	$0.809632\pi$
$258$	13.2742	+	22.4564i	0.826414	+	1.39807i
$259$	8.47046	+	0.359644i	0.526329	+	0.0223472i
$260$	−0.156255	+	0.124222i	−0.00969052	+	0.00770391i
$261$	14.0119	−	0.287488i	0.867317	−	0.0177951i
$262$	−5.70881	−	21.3056i	−0.352692	−	1.31626i
$263$	−8.77366	−	5.06547i	−0.541007	−	0.312350i	0.204480	−	0.978871i	$-0.434450\pi$
$263$	−8.77366	−	5.06547i	−0.541007	−	0.312350i	−0.745487	+	0.666520i	$0.767783\pi$
$264$	1.39338	+	4.99467i	0.0857566	+	0.307400i
$265$	−0.111549	+	0.111549i	−0.00685237	+	0.00685237i
$266$	−22.5155	−	7.06940i	−1.38051	−	0.433453i
$267$	−13.1141	−	22.1856i	−0.802570	−	1.35774i
$268$	0.0999420	−	0.372988i	0.00610493	−	0.0227839i
$269$	−14.6927	−	8.48285i	−0.895832	−	0.517209i	−0.0199863	−	0.999800i	$-0.506362\pi$
$269$	−14.6927	−	8.48285i	−0.895832	−	0.517209i	−0.875846	+	0.482591i	$0.839696\pi$
$270$	−0.757442	+	0.228153i	−0.0460964	+	0.0138849i
$271$	3.51155	−	13.1053i	0.213312	−	0.796090i	−0.773442	−	0.633867i	$-0.781467\pi$
$271$	3.51155	−	13.1053i	0.213312	−	0.796090i	0.986754	−	0.162223i	$-0.0518665\pi$
$272$	−33.4076			−2.02563
$273$	10.2538	−	12.9561i	0.620587	−	0.784137i
$274$	17.9676			1.08546
$275$	−1.69959	+	6.34294i	−0.102489	+	0.382494i
$276$	−0.456517	+	0.465979i	−0.0274791	+	0.0280487i
$277$	−10.5561	−	6.09455i	−0.634252	−	0.366186i	0.148145	−	0.988966i	$-0.452670\pi$
$277$	−10.5561	−	6.09455i	−0.634252	−	0.366186i	−0.782397	+	0.622780i	$0.786003\pi$
$278$	2.16743	−	8.08896i	0.129994	−	0.485143i
$279$	14.9058	−	4.32359i	0.892386	−	0.258847i
$280$	−0.419846	+	0.385646i	−0.0250906	+	0.0230468i
$281$	15.4646	−	15.4646i	0.922543	−	0.922543i	−0.0746655	−	0.997209i	$-0.523789\pi$
$281$	15.4646	−	15.4646i	0.922543	−	0.922543i	0.997209	+	0.0746655i	$0.0237889\pi$
$282$	−35.0203	+	9.76974i	−2.08543	+	0.581779i
$283$	19.8119	+	11.4384i	1.17770	+	0.679944i	0.955481	−	0.295053i	$-0.0953375\pi$
$283$	19.8119	+	11.4384i	1.17770	+	0.679944i	0.222217	+	0.974997i	$0.428671\pi$
$284$	−0.557052	−	2.07895i	−0.0330550	−	0.123363i
$285$	0.876512	−	0.244524i	0.0519201	−	0.0144843i
$286$	−7.57732	−	0.865402i	−0.448056	−	0.0511723i
$287$	5.05424	−	7.95462i	0.298343	−	0.469547i
$288$	−2.68290	−	9.24943i	−0.158091	−	0.545028i
$289$	−15.4451	−	26.7517i	−0.908537	−	1.57363i
$290$	0.355602	−	0.615921i	0.0208817	−	0.0361681i
$291$	−0.158112	+	0.00162186i	−0.00926871	+	9.50749e-5i
$292$	−4.51181	−	1.20894i	−0.264034	−	0.0707477i
$293$	−6.01322	+	6.01322i	−0.351296	+	0.351296i	−0.860592	−	0.509296i	$-0.829906\pi$
$293$	−6.01322	+	6.01322i	−0.351296	+	0.351296i	0.509296	+	0.860592i	$0.329906\pi$
$294$	−10.9773	+	16.1073i	−0.640206	+	0.939395i
$295$	−0.450404			−0.0262236
$296$	−3.64571	−	6.31456i	−0.211903	−	0.367026i
$297$	−6.02301	−	3.23451i	−0.349491	−	0.187685i
$298$	−20.2784	−	11.7078i	−1.17470	−	0.678213i
$299$	0.925579	+	2.13026i	0.0535276	+	0.123196i
$300$	1.25797	−	4.89512i	0.0726292	−	0.282620i
$301$	−24.1916	+	5.39362i	−1.39438	+	0.310883i
$302$			9.06509i			0.521638i
$303$	−6.86063	+	1.91393i	−0.394133	+	0.109953i
$304$	6.93209	+	25.8709i	0.397583	+	1.48380i
$305$	−1.33289	+	0.357146i	−0.0763209	+	0.0204501i
$306$	23.1119	−	24.0802i	1.32122	−	1.37657i
$307$	11.2017	+	11.2017i	0.639313	+	0.639313i	0.950386	−	0.311073i	$-0.100688\pi$
$307$	11.2017	+	11.2017i	0.639313	+	0.639313i	−0.311073	+	0.950386i	$0.600688\pi$
$308$	2.03336	+	0.0863336i	0.115861	+	0.00491931i
$309$	1.13421	+	0.291474i	0.0645227	+	0.0165814i
$310$	0.203844	−	0.760756i	0.0115776	−	0.0432080i
$311$	−7.70089	+	13.3383i	−0.436677	+	0.756348i	−0.997431	−	0.0716353i	$-0.977178\pi$
$311$	−7.70089	+	13.3383i	−0.436677	+	0.756348i	0.560753	+	0.827983i	$0.310512\pi$
$312$	−14.1341	−	1.46755i	−0.800185	−	0.0830835i
$313$	−9.06938	−	15.7086i	−0.512632	−	0.887904i	−0.999893	−	0.0146479i	$-0.995337\pi$
$313$	−9.06938	−	15.7086i	−0.512632	−	0.887904i	0.487261	−	0.873256i	$-0.337996\pi$
$314$	12.7213	+	12.7213i	0.717905	+	0.717905i
$315$	0.0164730	−	0.751434i	0.000928150	−	0.0423385i
$316$		−	1.61124i		−	0.0906395i
$317$	−5.16168	+	19.2637i	−0.289909	+	1.08195i	0.655268	+	0.755396i	$0.272556\pi$
$317$	−5.16168	+	19.2637i	−0.289909	+	1.08195i	−0.945177	+	0.326558i	$0.894111\pi$
$318$	4.63867	−	0.0475817i	0.260124	−	0.00266825i
$319$	5.93702	−	1.59082i	0.332409	−	0.0890688i
$320$	0.411051	+	0.110141i	0.0229785	+	0.00615706i
$321$	−15.3546	−	3.94589i	−0.857008	−	0.220238i
$322$	−1.26814	−	2.42896i	−0.0706708	−	0.135360i
$323$	−27.1491	+	27.1491i	−1.51062	+	1.51062i
$324$	4.66101	+	2.44182i	0.258945	+	0.135657i
$325$	−14.4629	−	10.7080i	−0.802255	−	0.593973i
$326$	17.3239	+	10.0020i	0.959482	+	0.553957i
$327$	4.11862	−	7.30570i	0.227760	−	0.404006i
$328$	−8.10538			−0.447545
$329$	1.46540	−	34.5136i	0.0807901	−	1.90280i
$330$	−0.298656	+	0.176538i	−0.0164405	+	0.00971811i
$331$	31.1336	+	8.34223i	1.71126	+	0.458530i	0.975733	−	0.218966i	$-0.0702682\pi$
$331$	31.1336	+	8.34223i	1.71126	+	0.458530i	0.735526	+	0.677496i	$0.236935\pi$
$332$	−1.86502	−	6.96035i	−0.102356	−	0.381999i
$333$	9.33477	+	2.29709i	0.511542	+	0.125880i
$334$	−8.95613	−	15.5125i	−0.490058	−	0.848805i
$335$	−0.0625427			−0.00341707
$336$	22.1109	+	0.711682i	1.20625	+	0.0388255i
$337$			33.1788i			1.80737i	0.428202	+	0.903683i	$0.359147\pi$
$337$			33.1788i			1.80737i	−0.428202	+	0.903683i	$0.640853\pi$
$338$	9.82190	−	18.4482i	0.534241	−	1.00345i
$339$	15.7521	−	16.0786i	0.855535	−	0.873268i
$340$	−0.0991618	−	0.370077i	−0.00537780	−	0.0200702i
$341$	5.89471	−	3.40331i	0.319216	−	0.184300i
$342$	−23.4435	−	12.9013i	−1.26768	−	0.697623i
$343$	−11.3272	−	14.6524i	−0.611614	−	0.791156i
$344$	15.0730	+	15.0730i	0.812680	+	0.812680i
$345$	0.0920386	+	0.0518871i	0.00495519	+	0.00279351i
$346$	−1.76233	+	0.472215i	−0.0947435	+	0.0253865i
$347$	25.1659	+	14.5296i	1.35098	+	0.779987i	0.988387	−	0.151961i	$-0.0485587\pi$
$347$	25.1659	+	14.5296i	1.35098	+	0.779987i	0.362591	+	0.931948i	$0.381892\pi$
$348$	−4.55674	+	1.27121i	−0.244267	+	0.0681440i
$349$	−0.811008	−	0.811008i	−0.0434123	−	0.0434123i	0.685067	−	0.728480i	$-0.259773\pi$
$349$	−0.811008	−	0.811008i	−0.0434123	−	0.0434123i	−0.728480	+	0.685067i	$0.759773\pi$
$350$	17.9185	+	11.3851i	0.957784	+	0.608561i
$351$	14.2997	−	12.1045i	0.763260	−	0.646092i
$352$	−2.11185	−	3.65782i	−0.112562	−	0.194963i
$353$	−16.2917	+	4.36534i	−0.867119	+	0.232344i	−0.664841	−	0.746984i	$-0.731501\pi$
$353$	−16.2917	+	4.36534i	−0.867119	+	0.232344i	−0.202277	+	0.979328i	$0.564834\pi$
$354$	9.46094	+	9.26881i	0.502843	+	0.492632i
$355$	−0.301895	+	0.174299i	−0.0160229	+	0.00925083i
$356$	6.15130	+	6.15130i	0.326018	+	0.326018i
$357$	14.9646	+	27.9599i	0.792012	+	1.47979i
$358$	11.5850	+	11.5850i	0.612289	+	0.612289i
$359$	−1.39210	−	0.373012i	−0.0734721	−	0.0196868i	0.221896	−	0.975070i	$-0.428776\pi$
$359$	−1.39210	−	0.373012i	−0.0734721	−	0.0196868i	−0.295368	+	0.955384i	$0.595442\pi$
$360$	−0.553062	+	0.334622i	−0.0291489	+	0.0176361i
$361$	10.2033	+	5.89090i	0.537017	+	0.310047i
$362$	7.59432	+	2.03489i	0.399149	+	0.106952i
$363$	15.5490	+	3.99587i	0.816113	+	0.209729i
$364$	−2.26374	+	5.09718i	−0.118652	+	0.267165i
$365$			0.756541i			0.0395992i
$366$	35.3475	+	19.9273i	1.84765	+	1.04162i
$367$	−12.9635	+	22.4534i	−0.676688	+	1.17206i	0.299284	+	0.954164i	$0.403252\pi$
$367$	−12.9635	+	22.4534i	−0.676688	+	1.17206i	−0.975972	+	0.217894i	$0.930081\pi$
$368$	−1.55490	+	2.69317i	−0.0810550	+	0.140391i
$369$	7.39982	−	7.70984i	0.385219	−	0.401358i
$370$	0.344953	−	0.344953i	0.0179333	−	0.0179333i
$371$	−1.32035	+	4.20520i	−0.0685491	+	0.218323i
$372$	−4.50987	+	2.66582i	−0.233826	+	0.138216i
$373$	−11.8540	−	20.5318i	−0.613778	−	1.06310i	−0.990598	−	0.136808i	$-0.956316\pi$
$373$	−11.8540	−	20.5318i	−0.613778	−	1.06310i	0.376819	−	0.926287i	$-0.377018\pi$
$374$	7.31900	−	12.6769i	0.378456	−	0.655505i
$375$	−1.63860	+	0.0168081i	−0.0846169	+	0.000867969i
$376$	−25.7292	+	14.8548i	−1.32688	+	0.766076i
$377$	−1.91130	+	16.7350i	−0.0984368	+	0.861896i
$378$	−15.8097	+	15.4452i	−0.813162	+	0.794415i
$379$	1.29118	−	1.29118i	0.0663237	−	0.0663237i	−0.673167	−	0.739491i	$-0.735066\pi$
$379$	1.29118	−	1.29118i	0.0663237	−	0.0663237i	0.739491	+	0.673167i	$0.235066\pi$
$380$	−0.266012	+	0.153582i	−0.0136462	+	0.00787861i
$381$	8.76177	−	8.94338i	0.448879	−	0.458183i
$382$	−1.55132	−	5.78960i	−0.0793723	−	0.296222i
$383$	2.53378	−	9.45619i	0.129470	−	0.483189i	−0.870490	−	0.492187i	$-0.836198\pi$
$383$	2.53378	−	9.45619i	0.129470	−	0.483189i	0.999960	+	0.00899834i	$0.00286430\pi$
$384$	−12.0265	−	20.3457i	−0.613725	−	1.03826i
$385$	−0.0717318	−	0.321733i	−0.00365579	−	0.0163970i
$386$			21.0150i			1.06964i
$387$	−28.0983	+	0.576504i	−1.42832	+	0.0293054i
$388$	0.0515551	−	0.0138141i	0.00261731	−	0.000701307i
$389$	12.5558	−	21.7473i	0.636604	−	1.10263i	−0.349568	−	0.936911i	$-0.613672\pi$
$389$	12.5558	−	21.7473i	0.636604	−	1.10263i	0.986173	−	0.165720i	$-0.0529949\pi$
$390$	−0.149911	−	0.938839i	−0.00759101	−	0.0475400i
$391$	−4.45796			−0.225449
$392$	−5.41176	+	14.9805i	−0.273335	+	0.756628i
$393$	23.0156	+	5.91466i	1.16098	+	0.298355i
$394$	−18.8744	+	10.8972i	−0.950880	+	0.548991i
$395$	−0.252075	+	0.0675433i	−0.0126833	+	0.00339847i
$396$	2.24084	+	0.551424i	0.112606	+	0.0277101i
$397$	−4.21422	+	15.7277i	−0.211506	+	0.789350i	0.775862	+	0.630903i	$0.217315\pi$
$397$	−4.21422	+	15.7277i	−0.211506	+	0.789350i	−0.987367	+	0.158447i	$0.949351\pi$
$398$	−2.89982	+	2.89982i	−0.145355	+	0.145355i
$399$	18.5471	−	17.3903i	0.928514	−	0.870606i
$400$		−	24.0942i		−	1.20471i
$401$	5.74724	+	1.53997i	0.287004	+	0.0769024i	0.399449	−	0.916756i	$-0.369202\pi$
$401$	5.74724	+	1.53997i	0.287004	+	0.0769024i	−0.112445	+	0.993658i	$0.535868\pi$
$402$	1.31374	+	1.28706i	0.0655232	+	0.0641926i
$403$	2.75209	+	18.4488i	0.137091	+	0.918999i
$404$	2.08213	−	1.20212i	0.103590	−	0.0598076i
$405$	0.186627	−	0.831566i	0.00927357	−	0.0413208i
$406$	0.842933	−	19.8531i	0.0418341	−	0.985290i
$407$	4.21605			0.208982
$408$	13.3940	−	23.7586i	0.663101	−	1.17622i
$409$	−4.10655	−	15.3259i	−0.203056	−	0.757815i	−0.990033	−	0.140833i	$-0.955022\pi$
$409$	−4.10655	−	15.3259i	−0.203056	−	0.757815i	0.786977	−	0.616982i	$-0.211645\pi$
$410$	−0.140356	−	0.523817i	−0.00693171	−	0.0258695i
$411$	−9.50627	+	16.8625i	−0.468910	+	0.831763i
$412$	−0.395292			−0.0194746
$413$	−11.1554	+	5.82415i	−0.548920	+	0.286588i
$414$	−0.865531	−	2.98396i	−0.0425385	−	0.146654i
$415$	−1.01075	+	0.583556i	−0.0496157	+	0.0286456i
$416$	11.4480	−	1.70774i	0.561282	−	0.0837290i
$417$	6.44469	+	6.31382i	0.315598	+	0.309189i
$418$	−11.3357	−	3.03739i	−0.554448	−	0.148564i
$419$		−	10.4141i		−	0.508762i	−0.967104	−	0.254381i	$-0.918128\pi$
$419$		−	10.4141i		−	0.508762i	0.967104	−	0.254381i	$-0.0818717\pi$
$420$	0.0577467	+	0.247049i	0.00281775	+	0.0120547i
$421$	17.0269	−	17.0269i	0.829843	−	0.829843i	−0.157652	−	0.987495i	$-0.550392\pi$
$421$	17.0269	−	17.0269i	0.829843	−	0.829843i	0.987495	+	0.157652i	$0.0503924\pi$
$422$	8.65725	−	32.3093i	0.421428	−	1.57279i
$423$	9.35969	−	38.0353i	0.455084	−	1.84934i
$424$	3.66152	−	0.981102i	0.177819	−	0.0476465i
$425$	29.9119	−	17.2697i	1.45094	−	0.837702i
$426$	9.92830	+	2.55143i	0.481028	+	0.123617i
$427$	−28.3940	+	26.0811i	−1.37408	+	1.26215i
$428$	5.35135			0.258667
$429$	4.82118	−	6.65340i	0.232769	−	0.321229i
$430$	−0.713093	+	1.23511i	−0.0343884	+	0.0595625i
$431$	11.1251	−	2.98095i	0.535876	−	0.143587i	0.0192755	−	0.999814i	$-0.493864\pi$
$431$	11.1251	−	2.98095i	0.535876	−	0.143587i	0.516600	+	0.856227i	$0.327197\pi$
$432$	24.4179	+	5.74377i	1.17481	+	0.276347i
$433$		−	26.7409i		−	1.28508i	−0.766250	−	0.642542i	$-0.777880\pi$
$433$		−	26.7409i		−	1.28508i	0.766250	−	0.642542i	$-0.222120\pi$
$434$	−4.78858	−	21.4779i	−0.229859	−	1.03097i
$435$	0.389896	+	0.659602i	0.0186941	+	0.0316255i
$436$	−0.732698	+	2.73446i	−0.0350899	+	0.130957i
$437$	0.925029	+	3.45226i	0.0442501	+	0.165144i
$438$	15.5688	−	15.8915i	0.743904	−	0.759324i
$439$	14.8760	−	8.58867i	0.709993	−	0.409915i	−0.101065	−	0.994880i	$-0.532225\pi$
$439$	14.8760	−	8.58867i	0.709993	−	0.409915i	0.811059	+	0.584965i	$0.198892\pi$
$440$	−0.200461	+	0.200461i	−0.00955661	+	0.00955661i
$441$	−9.30874	−	18.8241i	−0.443273	−	0.896387i
$442$	24.9631	+	31.4003i	1.18737	+	1.49356i
$443$	−23.9718	+	13.8402i	−1.13894	+	0.657565i	−0.946167	−	0.323679i	$-0.895080\pi$
$443$	−23.9718	+	13.8402i	−1.13894	+	0.657565i	−0.192770	+	0.981244i	$0.561747\pi$
$444$	−3.24479	+	0.0332838i	−0.153991	+	0.00157958i
$445$	0.704494	−	1.22022i	0.0333962	−	0.0578439i
$446$	16.1544	+	27.9803i	0.764933	+	1.32490i
$447$	21.7166	−	12.8369i	1.02716	−	0.607162i
$448$	11.6049	−	2.58736i	0.548281	−	0.122241i
$449$	−20.7044	+	20.7044i	−0.977103	+	0.977103i	−0.999744	−	0.0226407i	$-0.992793\pi$
$449$	−20.7044	+	20.7044i	−0.977103	+	0.977103i	0.0226407	+	0.999744i	$0.492793\pi$
$450$	17.3671	+	16.6688i	0.818692	+	0.785773i
$451$	2.34335	−	4.05879i	0.110344	−	0.191121i
$452$	−3.79894	+	6.57995i	−0.178687	+	0.309495i
$453$	−8.50754	−	4.79616i	−0.399719	−	0.225343i
$454$			2.06260i			0.0968027i
$455$	0.892338	+	0.140482i	0.0418334	+	0.00658591i
$456$	−21.1780	−	5.44242i	−0.991749	−	0.254865i
$457$	−6.32874	−	1.69578i	−0.296046	−	0.0793253i	0.107739	−	0.994179i	$-0.465639\pi$
$457$	−6.32874	−	1.69578i	−0.296046	−	0.0793253i	−0.403785	+	0.914854i	$0.632306\pi$
$458$	6.77347	+	3.91066i	0.316503	+	0.182733i
$459$	10.3711	+	34.4308i	0.484080	+	1.60709i
$460$	−0.0344493	−	0.00923066i	−0.00160621	−	0.000430382i
$461$	14.8981	+	14.8981i	0.693875	+	0.693875i	0.963082	−	0.269207i	$-0.0867616\pi$
$461$	14.8981	+	14.8981i	0.693875	+	0.693875i	−0.269207	+	0.963082i	$0.586762\pi$
$462$	−5.11415	+	8.23430i	−0.237932	+	0.383094i
$463$	−8.46051	−	8.46051i	−0.393193	−	0.393193i	0.482631	−	0.875824i	$-0.339681\pi$
$463$	−8.46051	−	8.46051i	−0.393193	−	0.393193i	−0.875824	+	0.482631i	$0.839681\pi$
$464$	−19.5308	+	11.2761i	−0.906695	+	0.523480i
$465$	0.606115	+	0.593807i	0.0281079	+	0.0275371i
$466$	39.2075	−	10.5056i	1.81625	−	0.486664i
$467$	−0.371466	−	0.643397i	−0.0171894	−	0.0297729i	0.857303	−	0.514813i	$-0.172138\pi$
$467$	−0.371466	−	0.643397i	−0.0171894	−	0.0297729i	−0.874492	+	0.485040i	$0.838805\pi$
$468$	−3.65799	+	5.15870i	−0.169091	+	0.238461i
$469$	−1.54902	+	0.808735i	−0.0715273	+	0.0373439i
$470$	−1.40554	−	1.40554i	−0.0648328	−	0.0648328i
$471$	−18.6695	+	5.20829i	−0.860243	+	0.239985i
$472$	9.37286	+	5.41142i	0.431421	+	0.249081i
$473$	−11.9056	+	3.19009i	−0.547419	+	0.146681i
$474$	6.68491	+	3.76864i	0.307048	+	0.173099i
$475$	−19.5804	−	19.5804i	−0.898412	−	0.898412i
$476$	−7.24142	−	7.88361i	−0.331910	−	0.361345i
$477$	−2.40957	+	4.37854i	−0.110327	+	0.200479i
$478$	22.8909	−	13.2161i	1.04701	−	0.604490i
$479$	0.251941	+	0.940258i	0.0115115	+	0.0429615i	0.971443	−	0.237274i	$-0.0762540\pi$
$479$	0.251941	+	0.940258i	0.0115115	+	0.0429615i	−0.959931	+	0.280236i	$0.909587\pi$
$480$	0.368473	−	0.376110i	0.0168184	−	0.0171670i
$481$	−4.23735	+	10.7486i	−0.193206	+	0.490094i
$482$		−	2.84392i		−	0.129537i
$483$	2.95051	+	0.0949680i	0.134253	+	0.00432119i
$484$	−5.41913			−0.246324
$485$	−0.00432238	−	0.00748658i	−0.000196269	−	0.000339948i
$486$	−21.0329	+	13.6268i	−0.954070	+	0.618125i
$487$	−3.56189	−	13.2932i	−0.161405	−	0.602370i	−0.998471	−	0.0552696i	$-0.982398\pi$
$487$	−3.56189	−	13.2932i	−0.161405	−	0.602370i	0.837067	−	0.547101i	$-0.184269\pi$
$488$	32.0282	+	8.58193i	1.44985	+	0.388486i
$489$	−18.5525	+	10.9665i	−0.838973	+	0.495924i
$490$	−1.06184	−	0.0903312i	−0.0479690	−	0.00408075i
$491$	−15.3353			−0.692071			−0.346035	−	0.938221i	$-0.612472\pi$
$491$	−15.3353			−0.692071			−0.346035	+	0.938221i	$0.612472\pi$
$492$	−1.77146	+	3.14226i	−0.0798637	+	0.141664i
$493$	−27.9977	−	16.1645i	−1.26095	−	0.728011i
$494$	19.1367	−	25.8471i	0.860999	−	1.16292i
$495$	−0.00766714	−	0.373690i	−0.000344612	−	0.0167961i
$496$	−17.6596	+	17.6596i	−0.792941	+	0.792941i
$497$	−5.22331	+	8.22072i	−0.234298	+	0.368750i
$498$	33.2401	+	8.54222i	1.48952	+	0.382786i
$499$	−24.7359	−	6.62796i	−1.10733	−	0.296708i	−0.341584	−	0.939851i	$-0.610964\pi$
$499$	−24.7359	−	6.62796i	−1.10733	−	0.296708i	−0.765746	+	0.643143i	$0.777630\pi$
$500$	0.534292	−	0.143163i	0.0238943	−	0.00640245i
$501$	19.2969	−	0.197940i	0.862120	−	0.00884330i
$502$	4.34614	−	16.2200i	0.193978	−	0.723934i
$503$		−	27.7326i		−	1.23654i	−0.785967	−	0.618268i	$-0.787835\pi$
$503$		−	27.7326i		−	1.23654i	0.785967	−	0.618268i	$-0.212165\pi$
$504$	−9.37097	+	15.4393i	−0.417416	+	0.687722i
$505$	−0.275351	−	0.275351i	−0.0122530	−	0.0122530i
$506$	−0.681303	−	1.18005i	−0.0302876	−	0.0524597i
$507$	12.1170	+	18.9784i	0.538134	+	0.842859i
$508$	−2.11308	+	3.65997i	−0.0937529	+	0.162385i
$509$	4.92544	−	18.3820i	0.218316	−	0.814767i	−0.766657	−	0.642057i	$-0.778081\pi$
$509$	4.92544	−	18.3820i	0.218316	−	0.814767i	0.984973	−	0.172710i	$-0.0552522\pi$
$510$	1.76735	+	0.454184i	0.0782597	+	0.0201116i
$511$	9.78278	+	18.7376i	0.432765	+	0.828903i
$512$	−4.57633	−	4.57633i	−0.202247	−	0.202247i
$513$	24.5113	−	15.1758i	1.08220	−	0.670028i
$514$	3.70399	−	0.992480i	0.163376	−	0.0437764i
$515$	0.0165706	+	0.0618425i	0.000730189	+	0.00272510i
$516$	9.13768	−	2.54917i	0.402264	−	0.112221i
$517$		−	17.1786i		−	0.755516i
$518$	4.08305	−	13.0042i	0.179399	−	0.571370i
$519$	0.489243	−	1.90378i	0.0214754	−	0.0835666i
$520$	−0.309592	−	0.712540i	−0.0135765	−	0.0312469i
$521$	−14.2369	−	8.21969i	−0.623731	−	0.360111i	0.154589	−	0.987979i	$-0.450595\pi$
$521$	−14.2369	−	8.21969i	−0.623731	−	0.360111i	−0.778320	+	0.627868i	$0.783928\pi$
$522$	5.38392	−	21.8788i	0.235648	−	0.957610i
$523$	−2.13117	−	3.69130i	−0.0931897	−	0.161409i	0.815662	−	0.578529i	$-0.196373\pi$
$523$	−2.13117	−	3.69130i	−0.0931897	−	0.161409i	−0.908852	+	0.417120i	$0.863040\pi$
$524$	−8.02136			−0.350415
$525$	−20.1652	+	10.7928i	−0.880081	+	0.471035i
$526$	−11.5169	+	11.5169i	−0.502162	+	0.502162i
$527$	−34.5814	−	9.26606i	−1.50639	−	0.403636i
$528$	11.0006	−	0.112840i	0.478739	−	0.00491072i
$529$	11.2925	−	19.5592i	0.490979	−	0.850400i
$530$	0.126809	+	0.219640i	0.00550823	+	0.00954054i
$531$	−13.7043	+	3.97509i	−0.594717	+	0.172504i
$532$	−4.60249	+	7.24363i	−0.199543	+	0.314051i
$533$	7.99251	+	10.0535i	0.346194	+	0.435467i
$534$	−39.9089	+	11.1335i	−1.72703	+	0.481795i
$535$	−0.224329	−	0.837206i	−0.00969857	−	0.0361956i
$536$	1.30151	+	0.751425i	0.0562165	+	0.0324566i
$537$	−17.0019	+	4.74308i	−0.733686	+	0.204679i
$538$	−19.2867	+	19.2867i	−0.831509	+	0.831509i
$539$	−5.93692	−	7.04096i	−0.255721	−	0.303276i
$540$	0.00885096	+	0.287542i	0.000380885	+	0.0123738i
$541$	1.33875	−	4.99628i	0.0575574	−	0.214807i	−0.931157	−	0.364618i	$-0.881200\pi$
$541$	1.33875	−	4.99628i	0.0575574	−	0.214807i	0.988715	+	0.149811i	$0.0478664\pi$
$542$	−18.8901	−	10.9062i	−0.811401	−	0.468462i
$543$	−5.92774	+	6.05061i	−0.254384	+	0.259656i
$544$	−5.74983	+	21.4587i	−0.246522	+	0.920033i
$545$	0.458515			0.0196406
$546$	−15.8530	−	21.3142i	−0.678444	−	0.912163i
$547$	−39.5644			−1.69165			−0.845825	−	0.533460i	$-0.820891\pi$
$547$	−39.5644			−1.69165			−0.845825	+	0.533460i	$0.820891\pi$
$548$	1.69116	−	6.31148i	0.0722426	−	0.269613i
$549$	−37.4033	+	22.6303i	−1.59634	+	0.965838i
$550$	9.14279	+	5.27859i	0.389850	+	0.225080i
$551$	−6.70828	+	25.0356i	−0.285782	+	1.06655i
$552$	−1.29191	−	2.18557i	−0.0549873	−	0.0930240i
$553$	−5.36986	+	4.93244i	−0.228350	+	0.209749i
$554$	−13.8566	+	13.8566i	−0.588712	+	0.588712i
$555$	0.141229	+	0.506244i	0.00599482	+	0.0214889i
$556$	−2.63741	−	1.52271i	−0.111851	−	0.0645773i
$557$	−1.23434	−	4.60661i	−0.0523005	−	0.195188i	0.934833	−	0.355089i	$-0.115549\pi$
$557$	−1.23434	−	4.60661i	−0.0523005	−	0.195188i	−0.987133	+	0.159901i	$0.948883\pi$
$558$	−0.511834	−	24.9463i	−0.0216676	−	1.05606i
$559$	3.83275	−	33.5589i	0.162108	−	1.41939i
$560$	0.559758	+	1.07214i	0.0236541	+	0.0453063i
$561$	8.02484	+	13.5759i	0.338809	+	0.573175i
$562$	−17.5803	−	30.4500i	−0.741580	−	1.28445i
$563$	−12.8023	+	22.1742i	−0.539552	+	0.934531i	0.459376	+	0.888242i	$0.348073\pi$
$563$	−12.8023	+	22.1742i	−0.539552	+	0.934531i	−0.998928	+	0.0462892i	$0.985260\pi$
$564$	0.135618	+	13.2212i	0.00571054	+	0.556711i
$565$	1.18867	+	0.318503i	0.0500077	+	0.0133995i
$566$	26.0065	−	26.0065i	1.09314	−	1.09314i
$567$	−6.13064	−	23.0090i	−0.257463	−	0.966288i
$568$	8.37652			0.351471
$569$	5.97303	+	10.3456i	0.250402	+	0.433710i	0.963637	−	0.267216i	$-0.0861037\pi$
$569$	5.97303	+	10.3456i	0.250402	+	0.433710i	−0.713234	+	0.700926i	$0.752770\pi$
$570$	−0.0150057	−	1.46289i	−0.000628521	−	0.0612736i
$571$	9.93621	+	5.73667i	0.415817	+	0.240072i	0.693286	−	0.720662i	$-0.256162\pi$
$571$	9.93621	+	5.73667i	0.415817	+	0.240072i	−0.277469	+	0.960735i	$0.589496\pi$
$572$	−1.01719	+	2.58024i	−0.0425308	+	0.107885i
$573$	6.25427	+	1.60726i	0.261276	+	0.0671441i
$574$	−10.2497	−	11.1587i	−0.427815	−	0.465754i
$575$		−	3.21516i		−	0.134081i
$576$	13.4790	−	0.276554i	0.561625	−	0.0115231i
$577$	9.22430	+	34.4256i	0.384013	+	1.43315i	0.839717	+	0.543024i	$0.182721\pi$
$577$	9.22430	+	34.4256i	0.384013	+	1.43315i	−0.455705	+	0.890131i	$0.650613\pi$
$578$	−47.9697	+	12.8534i	−1.99527	+	0.534632i
$579$	−19.7225	−	11.1186i	−0.819638	−	0.462074i
$580$	−0.182885	−	0.182885i	−0.00759388	−	0.00759388i
$581$	−17.4877	+	27.5231i	−0.725514	+	1.14185i
$582$	−0.0632719	+	0.246208i	−0.00262271	+	0.0102057i
$583$	−0.567292	+	2.11716i	−0.0234948	+	0.0876840i
$584$	9.08953	−	15.7435i	0.376127	−	0.651472i
$585$	0.960410	+	0.356031i	0.0397081	+	0.0147201i
$586$	6.83586	+	11.8401i	0.282387	+	0.489108i
$587$	−9.06275	−	9.06275i	−0.374060	−	0.374060i	0.494894	−	0.868953i	$-0.335207\pi$
$587$	−9.06275	−	9.06275i	−0.374060	−	0.374060i	−0.868953	+	0.494894i	$0.835207\pi$
$588$	4.62481	+	5.37205i	0.190724	+	0.221540i
$589$			28.7027i			1.18267i
$590$	−0.187413	+	0.699436i	−0.00771568	+	0.0287953i
$591$	−0.240839	−	23.4790i	−0.00990678	−	0.965797i
$592$	−14.9422	+	4.00374i	−0.614120	+	0.164553i
$593$	29.8813	+	8.00666i	1.22708	+	0.328794i	0.813440	−	0.581648i	$-0.197592\pi$
$593$	29.8813	+	8.00666i	1.22708	+	0.328794i	0.413636	+	0.910442i	$0.364259\pi$
$594$	−7.52906	+	8.00729i	−0.308921	+	0.328543i
$595$	−0.929811	+	1.46338i	−0.0381185	+	0.0599929i
$596$	−6.02126	+	6.02126i	−0.246640	+	0.246640i
$597$	−1.18723	−	4.25569i	−0.0485899	−	0.174174i
$598$	3.69323	−	0.550935i	0.151027	−	0.0225294i
$599$	−34.6304	−	19.9939i	−1.41496	−	0.816928i	−0.419110	−	0.907935i	$-0.637658\pi$
$599$	−34.6304	−	19.9939i	−1.41496	−	0.816928i	−0.995850	+	0.0910074i	$0.970991\pi$
$600$	17.1351	+	9.65999i	0.699538	+	0.394367i
$601$	−7.51661			−0.306609			−0.153305	−	0.988179i	$-0.548992\pi$
$601$	−7.51661			−0.306609			−0.153305	+	0.988179i	$0.548992\pi$
$602$	−1.69034	+	39.8116i	−0.0688933	+	1.62260i
$603$	−1.90297	+	0.551977i	−0.0774948	+	0.0224783i
$604$	3.18430	+	0.853232i	0.129567	+	0.0347175i
$605$	0.227170	+	0.847810i	0.00923577	+	0.0344684i
$606$	0.117453	+	11.4503i	0.00477119	+	0.465136i
$607$	11.0335	+	19.1106i	0.447835	+	0.775673i	0.998245	−	0.0592213i	$-0.0188618\pi$
$607$	11.0335	+	19.1106i	0.447835	+	0.775673i	−0.550410	+	0.834895i	$0.685528\pi$
$608$	17.8108			0.722322
$609$	18.1860	+	11.2949i	0.736934	+	0.457694i
$610$			2.21846i			0.0898227i
$611$	43.7961	+	17.2654i	1.77180	+	0.698485i
$612$	−6.28331	−	10.3850i	−0.253988	−	0.419791i
$613$	−4.50874	−	16.8269i	−0.182106	−	0.679631i	−0.995231	−	0.0975415i	$-0.968902\pi$
$613$	−4.50874	−	16.8269i	−0.182106	−	0.679631i	0.813125	−	0.582089i	$-0.197765\pi$
$614$	22.0561	−	12.7341i	0.890114	−	0.513907i
$615$	0.565859	+	0.145417i	0.0228176	+	0.00586380i
$616$	−2.37276	+	7.55706i	−0.0956014	+	0.304483i
$617$	−15.3928	−	15.3928i	−0.619689	−	0.619689i	0.325762	−	0.945452i	$-0.394379\pi$
$617$	−15.3928	−	15.3928i	−0.619689	−	0.619689i	−0.945452	+	0.325762i	$0.894379\pi$
$618$	0.924574	−	1.64003i	0.0371918	−	0.0659718i
$619$	21.5879	−	5.78447i	0.867692	−	0.232497i	0.202603	−	0.979261i	$-0.435060\pi$
$619$	21.5879	−	5.78447i	0.867692	−	0.232497i	0.665089	+	0.746764i	$0.268393\pi$
$620$	−0.248045	−	0.143209i	−0.00996172	−	0.00575140i
$621$	3.25836	+	0.766457i	0.130754	+	0.0307569i
$622$	17.5088	+	17.5088i	0.702040	+	0.702040i
$623$	1.66996	−	39.3315i	0.0669056	−	1.57578i
$624$	−10.7685	+	28.1589i	−0.431084	+	1.12726i
$625$	12.4328	+	21.5342i	0.497311	+	0.861369i
$626$	−28.1678	+	7.54754i	−1.12581	+	0.301660i
$627$	8.84807	−	9.03147i	0.353358	−	0.360682i
$628$	5.66599	−	3.27126i	0.226098	−	0.130537i
$629$	−15.6804	−	15.6804i	−0.625219	−	0.625219i
$630$	−1.16005	−	0.338253i	−0.0462176	−	0.0134763i
$631$	5.42393	+	5.42393i	0.215923	+	0.215923i	0.806778	−	0.590855i	$-0.201209\pi$
$631$	5.42393	+	5.42393i	0.215923	+	0.215923i	−0.590855	+	0.806778i	$0.701209\pi$
$632$	6.05715	+	1.62301i	0.240941	+	0.0645599i
$633$	25.7417	+	25.2190i	1.02314	+	1.00236i
$634$	27.7669	+	16.0312i	1.10276	+	0.636681i
$635$	0.661174	+	0.177161i	0.0262379	+	0.00703042i
$636$	0.419890	−	1.63391i	0.0166497	−	0.0647886i
$637$	23.9175	−	8.05936i	0.947646	−	0.319324i
$638$		−	9.88157i		−	0.391215i
$639$	−7.64736	+	7.96774i	−0.302525	+	0.315199i
$640$	0.646067	−	1.11902i	0.0255381	−	0.0442332i
$641$	4.93904	−	8.55467i	0.195080	−	0.337889i	−0.751846	−	0.659338i	$-0.770837\pi$
$641$	4.93904	−	8.55467i	0.195080	−	0.337889i	0.946927	+	0.321449i	$0.104170\pi$
$642$	−12.5166	+	22.2023i	−0.493992	+	0.876254i
$643$	22.5445	−	22.5445i	0.889068	−	0.889068i	−0.105365	−	0.994434i	$-0.533601\pi$
$643$	22.5445	−	22.5445i	0.889068	−	0.889068i	0.994434	+	0.105365i	$0.0336012\pi$
$644$	−0.972583	+	0.216841i	−0.0383251	+	0.00854474i
$645$	−0.781864	−	1.32271i	−0.0307858	−	0.0520815i
$646$	30.8633	+	53.4567i	1.21430	+	2.10323i
$647$	16.1701	−	28.0075i	0.635713	−	1.10109i	−0.350650	−	0.936507i	$-0.614039\pi$
$647$	16.1701	−	28.0075i	0.635713	−	1.10109i	0.986364	−	0.164581i	$-0.0526273\pi$
$648$	−13.8746	+	15.0625i	−0.545046	+	0.591712i
$649$	−5.41957	+	3.12899i	−0.212737	+	0.122824i
$650$	−22.6465	+	18.0038i	−0.888269	+	0.706169i
$651$	22.6904	+	6.86945i	0.889307	+	0.269235i
$652$	5.14397	−	5.14397i	0.201453	−	0.201453i
$653$	−20.4441	+	11.8034i	−0.800038	+	0.461902i	−0.843484	−	0.537154i	$-0.819500\pi$
$653$	−20.4441	+	11.8034i	−0.800038	+	0.461902i	0.0434465	+	0.999056i	$0.486166\pi$
$654$	−9.63131	−	9.43572i	−0.376614	−	0.368966i
$655$	0.336256	+	1.25492i	0.0131386	+	0.0490339i
$656$	−4.45069	+	16.6102i	−0.173770	+	0.648519i
$657$	6.67693	+	23.0190i	0.260492	+	0.898058i
$658$	−52.9866	−	16.6367i	−2.06563	−	0.648567i
$659$		−	29.2489i		−	1.13938i	−0.821861	−	0.569689i	$-0.807064\pi$
$659$		−	29.2489i		−	1.13938i	0.821861	−	0.569689i	$-0.192936\pi$
$660$	0.0339024	+	0.121525i	0.00131965	+	0.00473037i
$661$	12.0919	−	3.24002i	0.470320	−	0.126022i	−0.0158715	−	0.999874i	$-0.505052\pi$
$661$	12.0919	−	3.24002i	0.470320	−	0.126022i	0.486192	+	0.873852i	$0.338386\pi$
$662$	25.9094	−	44.8764i	1.00700	−	1.74417i
$663$	−42.6765	+	6.81443i	−1.65742	+	0.264651i
$664$	28.0447			1.08835
$665$	1.32619	+	0.416396i	0.0514273	+	0.0161471i
$666$	7.45136	−	13.5402i	0.288734	−	0.524672i
$667$	−2.60622	+	1.50470i	−0.100913	+	0.0582623i
$668$	−6.29205	+	1.68595i	−0.243447	+	0.0652314i
$669$	−34.8063	+	0.357030i	−1.34569	+	0.0138036i
$670$	−0.0260240	+	0.0971230i	−0.00100540	+	0.00375219i
$671$	−13.5571	+	13.5571i	−0.523366	+	0.523366i
$672$	4.26268	−	14.0800i	0.164436	−	0.543147i
$673$		−	36.4281i		−	1.40420i	−0.712078	−	0.702101i	$-0.752246\pi$
$673$		−	36.4281i		−	1.40420i	0.712078	−	0.702101i	$-0.247754\pi$
$674$	51.5236	+	13.8057i	1.98461	+	0.531776i
$675$	−24.8321	+	7.47981i	−0.955788	+	0.287898i
$676$	−5.55586	−	5.18654i	−0.213687	−	0.199482i
$677$	5.28256	−	3.04989i	0.203025	−	0.117217i	−0.395041	−	0.918664i	$-0.629269\pi$
$677$	5.28256	−	3.04989i	0.203025	−	0.117217i	0.598066	+	0.801447i	$0.295936\pi$
$678$	−18.4141	−	31.1518i	−0.707188	−	1.19638i
$679$	−0.203863	−	0.129531i	−0.00782353	−	0.00497095i
$680$	1.49112			0.0571818
$681$	−1.93574	−	1.09128i	−0.0741777	−	0.0418180i
$682$	−2.83224	−	10.5700i	−0.108452	−	0.404748i
$683$	−3.94452	−	14.7211i	−0.150933	−	0.563288i	−0.999419	−	0.0340718i	$-0.989153\pi$
$683$	−3.94452	−	14.7211i	−0.150933	−	0.563288i	0.848487	−	0.529217i	$-0.177514\pi$
$684$	−6.73842	+	7.02072i	−0.257650	+	0.268444i
$685$	−1.05831			−0.0404359
$686$	−27.4671	+	11.4933i	−1.04870	+	0.438815i
$687$	−7.25384	+	4.28781i	−0.276751	+	0.163590i
$688$	39.1654	−	22.6121i	1.49317	−	0.862079i
$689$	−4.82745	−	3.57414i	−0.183911	−	0.136164i
$690$	0.118873	−	0.121337i	0.00452542	−	0.00461922i
$691$	−7.86250	−	2.10675i	−0.299103	−	0.0801445i	0.106146	−	0.994351i	$-0.466149\pi$
$691$	−7.86250	−	2.10675i	−0.299103	−	0.0801445i	−0.405250	+	0.914206i	$0.632815\pi$
$692$			0.663502i			0.0252226i
$693$	−5.02205	−	9.15620i	−0.190772	−	0.347815i
$694$	33.0346	−	33.0346i	1.25398	−	1.25398i
$695$	−0.127664	+	0.476449i	−0.00484257	+	0.0180727i
$696$	−0.188850	−	18.4107i	−0.00715833	−	0.697854i
$697$	−23.8110	+	6.38013i	−0.901905	+	0.241665i
$698$	−1.59688	+	0.921959i	−0.0604428	+	0.0348967i
$699$	−10.8844	+	42.3544i	−0.411688	+	1.60199i
$700$	5.68580	−	5.22265i	0.214903	−	0.197397i
$701$	−2.49799			−0.0943479			−0.0471740	−	0.998887i	$-0.515022\pi$
$701$	−2.49799			−0.0943479			−0.0471740	+	0.998887i	$0.515022\pi$
$702$	−12.8471	−	27.2427i	−0.484883	−	1.02821i
$703$	−8.88926	+	15.3967i	−0.335265	+	0.580696i
$704$	5.71121	−	1.53031i	0.215249	−	0.0576758i
$705$	2.06273	−	0.575449i	0.0776871	−	0.0216726i
$706$			27.1159i			1.02052i
$707$	−10.3803	−	3.25921i	−0.390392	−	0.122575i
$708$	4.14635	−	2.45094i	0.155829	−	0.0921122i
$709$	−9.34806	+	34.8874i	−0.351074	+	1.31023i	0.534280	+	0.845308i	$0.320583\pi$
$709$	−9.34806	+	34.8874i	−0.351074	+	1.31023i	−0.885354	+	0.464918i	$0.846084\pi$
$710$	0.145051	+	0.541340i	0.00544369	+	0.0203161i
$711$	−7.07370	+	4.27983i	−0.265284	+	0.160506i
$712$	−29.3209	+	16.9284i	−1.09885	+	0.634419i
$713$	−2.35653	+	2.35653i	−0.0882527	+	0.0882527i
$714$	49.6459	−	11.6045i	1.85795	−	0.434289i
$715$	0.446312	+	0.0509732i	0.0166911	+	0.00190629i
$716$	5.15990	−	2.97907i	0.192835	−	0.111333i
$717$	0.292090	+	28.4754i	0.0109083	+	1.06343i
$718$	−1.15850	+	2.00659i	−0.0432350	+	0.0748852i
$719$	−24.4661	−	42.3766i	−0.912433	−	1.58038i	−0.810616	−	0.585578i	$-0.800868\pi$
$719$	−24.4661	−	42.3766i	−0.912433	−	1.58038i	−0.101817	−	0.994803i	$-0.532466\pi$
$720$	0.382046	+	1.31712i	0.0142380	+	0.0490862i
$721$	1.21009	+	1.31741i	0.0450662	+	0.0490628i
$722$	13.3936	−	13.3936i	0.498459	−	0.498459i
$723$	2.66900	+	1.50466i	0.0992613	+	0.0559590i
$724$	1.42960	−	2.47613i	0.0531305	−	0.0920248i
$725$	11.6581	−	20.1925i	0.432972	−	0.749929i
$726$	12.6752	−	22.4835i	0.470419	−	0.834441i
$727$			13.3042i			0.493427i	0.969088	+	0.246714i	$0.0793507\pi$
$727$			13.3042i			0.493427i	−0.969088	+	0.246714i	$0.920649\pi$
$728$	−16.8816	−	13.6445i	−0.625674	−	0.505698i
$729$	−1.66063	−	26.9489i	−0.0615047	−	0.998107i
$730$	1.17484	+	0.314797i	0.0434827	+	0.0116511i
$731$	56.1441	+	32.4148i	2.07657	+	1.19891i
$732$	10.3269	−	10.5409i	0.381693	−	0.389605i
$733$	43.0027	+	11.5225i	1.58834	+	0.425595i	0.941496	−	0.337025i	$-0.109421\pi$
$733$	43.0027	+	11.5225i	1.58834	+	0.425595i	0.646847	+	0.762620i	$0.276087\pi$
$734$	29.4739	+	29.4739i	1.08790	+	1.08790i
$735$	0.646572	−	0.948736i	0.0238492	−	0.0349947i
$736$	1.46229	+	1.46229i	0.0539006	+	0.0539006i
$737$	−0.752557	+	0.434489i	−0.0277208	+	0.0160046i
$738$	−8.89358	−	14.6993i	−0.327377	−	0.541088i
$739$	15.3252	−	4.10637i	0.563746	−	0.151055i	0.0343194	−	0.999411i	$-0.489074\pi$
$739$	15.3252	−	4.10637i	0.563746	−	0.151055i	0.529427	+	0.848356i	$0.322407\pi$
$740$	−0.0887040	−	0.153640i	−0.00326082	−	0.00564791i
$741$	14.1325	+	31.6348i	0.519171	+	1.16213i
$742$	5.98088	+	3.80016i	0.219565	+	0.139508i
$743$	15.9740	+	15.9740i	0.586029	+	0.586029i	0.936554	−	0.350524i	$-0.113997\pi$
$743$	15.9740	+	15.9740i	0.586029	+	0.586029i	−0.350524	+	0.936554i	$0.613997\pi$
$744$	−5.47883	−	19.6393i	−0.200864	−	0.720010i
$745$	1.19442	+	0.689600i	0.0437603	+	0.0252650i
$746$	−36.8164	+	9.86492i	−1.34794	+	0.361180i
$747$	−25.6035	+	26.6761i	−0.936783	+	0.976029i
$748$	−3.76413	−	3.76413i	−0.137630	−	0.137630i
$749$	−16.3819	−	17.8347i	−0.598581	−	0.651665i
$750$	−0.655720	+	2.55159i	−0.0239435	+	0.0931707i
$751$	−9.15304	+	5.28451i	−0.333999	+	0.192835i	−0.657615	−	0.753354i	$-0.728435\pi$
$751$	−9.15304	+	5.28451i	−0.333999	+	0.192835i	0.323616	+	0.946189i	$0.395101\pi$
$752$	16.3136	+	60.8832i	0.594896	+	2.22018i
$753$	12.9229	+	12.6605i	0.470937	+	0.461374i
$754$	25.1926	+	9.93149i	0.917460	+	0.361684i
$755$		−	0.533944i		−	0.0194322i
$756$	3.93739	+	7.00722i	0.143202	+	0.254850i
$757$	13.2602			0.481948			0.240974	−	0.970532i	$-0.422533\pi$
$757$	13.2602			0.481948			0.240974	+	0.970532i	$0.422533\pi$
$758$	−1.46783	−	2.54235i	−0.0533139	−	0.0923423i
$759$	1.46793	−	0.0150575i	0.0532826	−	0.000546553i
$760$	−0.309408	−	1.15473i	−0.0112234	−	0.0418863i
$761$	−24.5675	−	6.58285i	−0.890572	−	0.238628i	−0.215609	−	0.976480i	$-0.569174\pi$
$761$	−24.5675	−	6.58285i	−0.890572	−	0.238628i	−0.674963	+	0.737852i	$0.735840\pi$
$762$	−10.2425	−	17.3275i	−0.371045	−	0.627711i
$763$	11.3563	−	5.92903i	0.411124	−	0.214645i
$764$	−2.17973			−0.0788599
$765$	−1.36132	+	1.41835i	−0.0492186	+	0.0512806i
$766$	−13.6303	−	7.86944i	−0.492481	−	0.284334i
$767$	−2.53026	−	16.9617i	−0.0913623	−	0.612453i
$768$	−21.6042	+	6.02700i	−0.779575	+	0.217481i
$769$	27.2714	−	27.2714i	0.983434	−	0.983434i	−0.0164314	−	0.999865i	$-0.505231\pi$
$769$	27.2714	−	27.2714i	0.983434	−	0.983434i	0.999865	+	0.0164314i	$0.00523052\pi$
$770$	−0.529469	−	0.0224805i	−0.0190807	−	0.000810142i
$771$	−1.02827	+	4.00127i	−0.0370321	+	0.144102i
$772$	7.38196	+	1.97799i	0.265683	+	0.0711895i
$773$	18.7770	−	5.03128i	0.675361	−	0.180963i	0.0951927	−	0.995459i	$-0.469653\pi$
$773$	18.7770	−	5.03128i	0.675361	−	0.180963i	0.580169	+	0.814496i	$0.302987\pi$
$774$	−10.7964	+	43.8739i	−0.388070	+	1.57701i
$775$	6.68285	−	24.9407i	0.240055	−	0.895898i
$776$			0.207726i			0.00745694i
$777$	10.0441	+	10.7122i	0.360329	+	0.384297i
$778$	−28.5470	−	28.5470i	−1.02346	−	1.02346i
$779$	9.88159	+	17.1154i	0.354045	+	0.613223i
$780$	−0.343897	−	0.0357069i	−0.0123135	−	0.00127851i
$781$	−2.42173	+	4.19457i	−0.0866565	+	0.150093i
$782$	−1.85495	+	6.92279i	−0.0663331	+	0.247558i
$783$	17.6846	+	16.6284i	0.631997	+	0.594251i
$784$	27.7276	+	19.3160i	0.990270	+	0.689859i
$785$	−0.749299	−	0.749299i	−0.0267436	−	0.0267436i
$786$	18.7617	−	33.2799i	0.669208	−	1.18706i
$787$	−7.65650	+	2.05155i	−0.272925	+	0.0731300i	−0.392686	−	0.919673i	$-0.628454\pi$
$787$	−7.65650	+	2.05155i	−0.272925	+	0.0731300i	0.119761	+	0.992803i	$0.461787\pi$
$788$	2.05134	+	7.65570i	0.0730759	+	0.272723i
$789$	−4.71519	−	16.9019i	−0.167865	−	0.601725i
$790$			0.419553i			0.0149270i
$791$	33.5589	−	7.48208i	1.19322	−	0.266032i
$792$	−4.33018	+	7.86856i	−0.153866	+	0.279597i
$793$	−20.9376	−	48.1887i	−0.743515	−	1.71123i
$794$	22.6701	+	13.0886i	0.804531	+	0.464496i
$795$	−0.273223	+	0.00280261i	−0.00969021	+	9.93985e-5i
$796$	0.745682	+	1.29156i	0.0264300	+	0.0457781i
$797$	12.1647			0.430895			0.215447	−	0.976515i	$-0.430879\pi$
$797$	12.1647			0.430895			0.215447	+	0.976515i	$0.430879\pi$
$798$	−19.2881	−	36.0380i	−0.682793	−	1.27573i
$799$	−63.8912	+	63.8912i	−2.26031	+	2.26031i
$800$	−15.4764	−	4.14689i	−0.547173	−	0.146615i
$801$	10.6662	−	43.3448i	0.376873	−	1.53151i
$802$	4.78285	−	8.28415i	0.168888	−	0.292523i
$803$	5.25575	+	9.10322i	0.185471	+	0.321246i
$804$	0.575759	−	0.340336i	0.0203054	−	0.0120027i
$805$	0.0746950	+	0.143068i	0.00263265	+	0.00504249i
$806$	29.7944	+	3.40280i	1.04946	+	0.119859i
$807$	−7.89626	−	28.3047i	−0.277961	−	0.996372i
$808$	2.42180	+	9.03826i	0.0851985	+	0.317965i
$809$	39.8761	+	23.0225i	1.40197	+	0.809428i	0.994595	−	0.103833i	$-0.0331106\pi$
$809$	39.8761	+	23.0225i	1.40197	+	0.809428i	0.407376	+	0.913261i	$0.366444\pi$
$810$	−1.21369	−	0.635828i	−0.0426446	−	0.0223407i
$811$	−24.2895	+	24.2895i	−0.852918	+	0.852918i	−0.990492	−	0.137574i	$-0.956070\pi$
$811$	−24.2895	+	24.2895i	−0.852918	+	0.852918i	0.137574	+	0.990492i	$0.456070\pi$
$812$	−6.89446	−	2.16472i	−0.241948	−	0.0759668i
$813$	20.2298	−	11.9580i	0.709490	−	0.419386i
$814$	1.75430	−	6.54712i	0.0614881	−	0.229477i
$815$	−1.02040	−	0.589126i	−0.0357429	−	0.0206362i
$816$	−41.3333	−	40.4939i	−1.44695	−	1.41757i
$817$	13.4522	−	50.2043i	0.470633	−	1.75643i
$818$	−25.5084			−0.891879
$819$	28.3907	−	3.60101i	0.992052	−	0.125829i
$820$	−0.197212			−0.00688696
$821$	10.1840	−	38.0070i	0.355423	−	1.32646i	−0.524529	−	0.851392i	$-0.675759\pi$
$821$	10.1840	−	38.0070i	0.355423	−	1.32646i	0.879952	−	0.475063i	$-0.157575\pi$
$822$	22.2302	+	21.7788i	0.775369	+	0.759623i
$823$	−45.2324	−	26.1150i	−1.57670	−	0.910310i	−0.995315	−	0.0966847i	$-0.969176\pi$
$823$	−45.2324	−	26.1150i	−1.57670	−	0.910310i	−0.581389	−	0.813626i	$-0.697491\pi$
$824$	0.398179	−	1.48602i	0.0138712	−	0.0517681i
$825$	−9.79120	+	5.78766i	−0.340886	+	0.201500i
$826$	4.40260	+	19.7467i	0.153186	+	0.687074i
$827$	−35.1752	+	35.1752i	−1.22316	+	1.22316i	−0.256658	+	0.966502i	$0.582621\pi$
$827$	−35.1752	+	35.1752i	−1.22316	+	1.22316i	−0.966502	+	0.256658i	$0.917379\pi$
$828$	−1.12964	+	0.0231774i	−0.0392579	+	0.000805469i
$829$	16.8849	+	9.74849i	0.586436	+	0.338579i	0.763687	−	0.645587i	$-0.223387\pi$
$829$	16.8849	+	9.74849i	0.586436	+	0.338579i	−0.177251	+	0.984166i	$0.556720\pi$
$830$	0.485635	+	1.81241i	0.0168566	+	0.0629098i
$831$	−5.67310	−	20.3356i	−0.196798	−	0.705435i
$832$	−1.83860	+	16.0985i	−0.0637421	+	0.558115i
$833$	−4.10615	+	48.2676i	−0.142270	+	1.67237i
$834$	12.4864	−	7.38082i	0.432369	−	0.255577i
$835$	0.527526	+	0.913702i	0.0182558	+	0.0316200i
$836$	−2.13390	+	3.69602i	−0.0738023	+	0.127829i
$837$	23.6828	+	12.7182i	0.818596	+	0.439607i
$838$	−16.1721	−	4.33330i	−0.558656	−	0.149692i
$839$	38.5864	−	38.5864i	1.33215	−	1.33215i	0.428704	−	0.903445i	$-0.358970\pi$
$839$	38.5864	−	38.5864i	1.33215	−	1.33215i	0.903445	−	0.428704i	$-0.141030\pi$
$840$	−0.986900	−	0.0317653i	−0.0340513	−	0.00109601i
$841$	7.17591			0.247445
$842$	−19.3563	−	33.5262i	−0.667063	−	1.15539i
$843$	37.8785	−	0.388543i	1.30460	−	0.0133821i
$844$	−10.5345	−	6.08208i	−0.362611	−	0.209354i
$845$	−0.578521	+	1.08662i	−0.0199017	+	0.0373809i
$846$	−55.1707	−	30.3612i	−1.89681	−	1.04384i
$847$	16.5894	+	18.0606i	0.570018	+	0.620569i
$848$		−	8.04221i		−	0.276171i
$849$	10.6474	+	38.1665i	0.365420	+	1.30987i
$850$	−14.3718	−	53.6363i	−0.492949	−	1.83971i
$851$	−1.99391	+	0.534266i	−0.0683503	+	0.0183144i
$852$	1.83072	−	3.24737i	0.0627194	−	0.111253i
$853$	11.0510	+	11.0510i	0.378379	+	0.378379i	0.870517	−	0.492138i	$-0.163784\pi$
$853$	11.0510	+	11.0510i	0.378379	+	0.378379i	−0.492138	+	0.870517i	$0.663784\pi$
$854$	28.6867	+	54.9455i	0.981639	+	1.88020i
$855$	1.38085	+	0.759901i	0.0472241	+	0.0259881i
$856$	−5.39043	+	20.1174i	−0.184241	+	0.687597i
$857$	11.9417	−	20.6837i	0.407922	−	0.706542i	−0.586735	−	0.809779i	$-0.699587\pi$
$857$	11.9417	−	20.6837i	0.407922	−	0.706542i	0.994657	+	0.103238i	$0.0329202\pi$
$858$	−8.32601	−	10.2553i	−0.284245	−	0.350111i
$859$	1.84620	+	3.19772i	0.0629916	+	0.109105i	0.895801	−	0.444455i	$-0.146603\pi$
$859$	1.84620	+	3.19772i	0.0629916	+	0.109105i	−0.832810	+	0.553559i	$0.813269\pi$
$860$	0.366741	+	0.366741i	0.0125058	+	0.0125058i
$861$	15.8953	−	3.71546i	0.541709	−	0.126623i
$862$		−	18.5166i		−	0.630676i
$863$	−7.75561	+	28.9443i	−0.264004	+	0.985276i	0.698853	+	0.715265i	$0.253694\pi$
$863$	−7.75561	+	28.9443i	−0.264004	+	0.985276i	−0.962857	+	0.270011i	$0.912973\pi$
$864$	7.89200	−	14.6958i	0.268491	−	0.499961i
$865$	0.103803	−	0.0278140i	0.00352942	−	0.000945705i
$866$	−41.5261	−	11.1269i	−1.41111	−	0.378107i
$867$	13.3169	−	51.8197i	0.452266	−	1.75989i
$868$	−7.99526	−	0.339468i	−0.271377	−	0.0115223i
$869$	−2.56391	+	2.56391i	−0.0869747	+	0.0869747i
$870$	1.18653	−	0.331012i	0.0402273	−	0.0112224i
$871$	−0.351349	−	2.35529i	−0.0119050	−	0.0798060i
$872$	−9.54164	−	5.50887i	−0.323121	−	0.186554i
$873$	−0.197589	−	0.189644i	−0.00668738	−	0.00641848i
$874$	5.74593			0.194359
$875$	−2.11273	−	1.34240i	−0.0714235	−	0.0453814i
$876$	−4.11684	−	6.96460i	−0.139095	−	0.235312i
$877$	−49.2294	−	13.1910i	−1.66236	−	0.445427i	−0.699323	−	0.714806i	$-0.746515\pi$
$877$	−49.2294	−	13.1910i	−1.66236	−	0.445427i	−0.963034	+	0.269379i	$0.913182\pi$
$878$	−7.14749	−	26.6748i	−0.241216	−	0.900230i
$879$	−14.7285	+	0.151080i	−0.496781	+	0.00509580i
$880$	0.300727	+	0.520875i	0.0101375	+	0.0175587i
$881$	41.2729			1.39052			0.695260	−	0.718758i	$-0.255289\pi$
$881$	41.2729			1.39052			0.695260	+	0.718758i	$0.255289\pi$
$882$	−33.1054	+	6.62288i	−1.11472	+	0.223004i
$883$		−	33.4279i		−	1.12494i	−0.826819	−	0.562468i	$-0.809852\pi$
$883$		−	33.4279i		−	1.12494i	0.826819	−	0.562468i	$-0.190148\pi$
$884$	13.3796	−	5.81332i	0.450005	−	0.195523i
$885$	−0.557260	−	0.545943i	−0.0187321	−	0.0183517i
$886$	11.5178	+	42.9849i	0.386947	+	1.44411i
$887$	−35.7689	+	20.6512i	−1.20100	+	0.693399i	−0.960778	−	0.277318i	$-0.910554\pi$
$887$	−35.7689	+	20.6512i	−1.20100	+	0.693399i	−0.240224	+	0.970717i	$0.577221\pi$
$888$	3.14336	−	12.2317i	0.105484	−	0.410468i
$889$	18.6664	−	4.16176i	0.626052	−	0.139581i
$890$	−1.60175	−	1.60175i	−0.0536906	−	0.0536906i
$891$	−3.53132	−	11.3025i	−0.118304	−	0.378647i
$892$	11.3491	−	3.04099i	0.379997	−	0.101820i
$893$	62.7350	+	36.2201i	2.09935	+	1.21206i
$894$	−10.8982	−	39.0652i	−0.364489	−	1.30654i
$895$	−0.682372	−	0.682372i	−0.0228092	−	0.0228092i
$896$	1.53146	−	36.0696i	0.0511626	−	1.20500i
$897$	−1.43696	+	3.75756i	−0.0479788	+	0.125461i
$898$	23.5369	+	40.7672i	0.785438	+	1.36042i
$899$	−23.3446	+	6.25518i	−0.778587	+	0.208622i
$900$	7.48989	−	4.53164i	0.249663	−	0.151055i
$901$	9.98409	−	5.76431i	0.332618	−	0.192037i
$902$	−5.32786	−	5.32786i	−0.177398	−	0.177398i
$903$	−36.4686	−	22.6499i	−1.21360	−	0.753741i
$904$	−20.9094	−	20.9094i	−0.695436	−	0.695436i
$905$	−0.447314	−	0.119857i	−0.0148692	−	0.00398420i
$906$	−10.9880	+	11.2157i	−0.365051	+	0.372617i
$907$	2.36637	+	1.36623i	0.0785741	+	0.0453648i	0.538772	−	0.842451i	$-0.318888\pi$
$907$	2.36637	+	1.36623i	0.0785741	+	0.0453648i	−0.460198	+	0.887816i	$0.652222\pi$
$908$	0.724532	+	0.194138i	0.0240444	+	0.00644268i
$909$	−10.8082	−	5.94789i	−0.358485	−	0.197279i
$910$	0.589457	−	1.32726i	0.0195403	−	0.0439983i
$911$		−	36.8306i		−	1.22025i	−0.792304	−	0.610127i	$-0.791118\pi$
$911$		−	36.8306i		−	1.22025i	0.792304	−	0.610127i	$-0.208882\pi$
$912$	−22.7819	+	40.4111i	−0.754385	+	1.33815i
$913$	−8.10801	+	14.0435i	−0.268336	+	0.464771i
$914$	−5.26678	+	9.12232i	−0.174209	+	0.301740i
$915$	−2.08201	−	1.17374i	−0.0688291	−	0.0388027i
$916$	2.01124	−	2.01124i	0.0664532	−	0.0664532i
$917$	24.5555	+	26.7331i	0.810894	+	0.882806i
$918$	57.7831	−	1.77865i	1.90713	−	0.0587043i
$919$	15.0542	+	26.0746i	0.496592	+	0.860122i	0.999992	−	0.00393111i	$-0.00125131\pi$
$919$	15.0542	+	26.0746i	0.496592	+	0.860122i	−0.503401	+	0.864053i	$0.667918\pi$
$920$	0.0694018	−	0.120207i	0.00228811	−	0.00396312i
$921$	0.281438	+	27.4369i	0.00927369	+	0.904078i
$922$	29.3345	−	16.9363i	0.966081	−	0.557767i
$923$	−8.25987	−	10.3899i	−0.271877	−	0.341986i
$924$	2.41111	+	2.57149i	0.0793198	+	0.0845957i
$925$	11.3090	−	11.3090i	0.371838	−	0.371838i
$926$	−16.6588	+	9.61796i	−0.547442	+	0.316066i
$927$	1.04999	+	1.73542i	0.0344861	+	0.0569985i
$928$	3.88150	+	14.4860i	0.127417	+	0.475525i
$929$	−13.8428	+	51.6619i	−0.454166	+	1.69497i	0.236362	+	0.971665i	$0.424045\pi$
$929$	−13.8428	+	51.6619i	−0.454166	+	1.69497i	−0.690528	+	0.723306i	$0.742622\pi$
$930$	1.17433	−	0.694156i	0.0385078	−	0.0227623i
$931$	38.2306	−	6.83574i	1.25296	−	0.224032i
$932$		−	14.7613i		−	0.483522i
$933$	−25.6955	+	7.16837i	−0.841233	+	0.234682i
$934$	−1.15370	+	0.309133i	−0.0377503	+	0.0101152i
$935$	−0.431097	+	0.746682i	−0.0140984	+	0.0244191i
$936$	−15.7084	−	18.9479i	−0.513447	−	0.619331i
$937$	35.8214			1.17023			0.585116	−	0.810949i	$-0.301049\pi$
$937$	35.8214			1.17023			0.585116	+	0.810949i	$0.301049\pi$
$938$	0.611341	+	2.74200i	0.0199610	+	0.0895296i
$939$	7.81969	−	30.4286i	0.255186	−	0.992998i
$940$	−0.626019	+	0.361432i	−0.0204185	+	0.0117886i
$941$	0.159247	−	0.0426701i	0.00519130	−	0.00139100i	−0.256222	−	0.966618i	$-0.582478\pi$
$941$	0.159247	−	0.0426701i	0.00519130	−	0.00139100i	0.261414	+	0.965227i	$0.415811\pi$
$942$	0.319618	+	31.1591i	0.0104137	+	1.01522i
$943$	−0.593907	+	2.21649i	−0.0193403	+	0.0721789i
$944$	16.2362	−	16.2362i	0.528443	−	0.528443i
$945$	0.931208	−	0.909739i	0.0302922	−	0.0295938i
$946$			19.8156i			0.644262i
$947$	16.7129	+	4.47821i	0.543097	+	0.145522i	0.519929	−	0.854209i	$-0.325958\pi$
$947$	16.7129	+	4.47821i	0.543097	+	0.145522i	0.0231675	+	0.999732i	$0.492625\pi$
$948$	1.95302	−	1.99350i	0.0634310	−	0.0647458i
$949$	−28.4905	+	4.25006i	−0.924841	+	0.137963i
$950$	−38.5540	+	22.2592i	−1.25086	+	0.722182i
$951$	−29.7361	+	17.5773i	−0.964258	+	0.569981i
$952$	36.9312	−	19.2815i	1.19695	−	0.624918i
$953$	−15.9556			−0.516854			−0.258427	−	0.966031i	$-0.583204\pi$
$953$	−15.9556			−0.516854			−0.258427	+	0.966031i	$0.583204\pi$
$954$	5.79683	+	5.56374i	0.187679	+	0.180133i
$955$	0.0913744	+	0.341014i	0.00295680	+	0.0110349i
$956$	−2.48787	−	9.28485i	−0.0804634	−	0.300294i
$957$	9.27380	+	5.22814i	0.299779	+	0.169002i
$958$	1.56496			0.0505617
$959$	−26.2116	+	13.6849i	−0.846418	+	0.441909i
$960$	0.375067	+	0.634514i	0.0121052	+	0.0204788i
$961$	3.66851	−	2.11801i	0.118339	−	0.0683231i
$962$	14.9284	+	11.0527i	0.481311	+	0.356353i
$963$	−14.2144	−	23.4936i	−0.458053	−	0.757069i
$964$	−0.998987	−	0.267678i	−0.0321752	−	0.00862132i
$965$		−	1.23781i		−	0.0398465i
$966$	1.37518	−	4.54235i	0.0442458	−	0.146148i
$967$	−22.4474	+	22.4474i	−0.721859	+	0.721859i	−0.968984	−	0.247125i	$-0.920514\pi$
$967$	−22.4474	+	22.4474i	−0.721859	+	0.721859i	0.247125	+	0.968984i	$0.420514\pi$
$968$	5.45871	−	20.3722i	0.175449	−	0.654786i
$969$	−66.4980	+	0.682111i	−2.13622	+	0.0219126i
$970$	−0.0134245	+	0.00359708i	−0.000431034	+	0.000115495i
$971$	26.2698	−	15.1669i	0.843039	−	0.486729i	−0.0152571	−	0.999884i	$-0.504857\pi$
$971$	26.2698	−	15.1669i	0.843039	−	0.486729i	0.858296	+	0.513155i	$0.171523\pi$
$972$	2.80703	+	8.67082i	0.0900356	+	0.278117i
$973$	2.99901	+	13.4512i	0.0961438	+	0.431227i
$974$	−22.1251			−0.708934
$975$	−4.91469	−	30.7791i	−0.157396	−	0.985719i
$976$	35.1736	−	60.9224i	1.12588	−	1.95008i
$977$	−25.3651	+	6.79655i	−0.811501	+	0.217441i	−0.640627	−	0.767852i	$-0.721326\pi$
$977$	−25.3651	+	6.79655i	−0.811501	+	0.217441i	−0.170874	+	0.985293i	$0.554659\pi$
$978$	9.31031	+	33.3735i	0.297711	+	1.06717i
$979$		−	19.5767i		−	0.625673i
$980$	−0.131674	+	0.364491i	−0.00420617	+	0.0116432i
$981$	13.9511	−	4.04667i	0.445424	−	0.129200i
$982$	−6.38100	+	23.8142i	−0.203626	+	0.759942i
$983$	6.51008	+	24.2959i	0.207639	+	0.774920i	0.988629	+	0.150376i	$0.0480485\pi$
$983$	6.51008	+	24.2959i	0.207639	+	0.774920i	−0.780990	+	0.624544i	$0.785285\pi$
$984$	−10.0283	−	9.82468i	−0.319691	−	0.313199i
$985$	1.11172	−	0.641854i	0.0354225	−	0.0204512i
$986$	−36.7517	+	36.7517i	−1.17041	+	1.17041i
$987$	43.6476	−	40.9255i	1.38932	−	1.30267i
$988$	−7.27813	−	9.15495i	−0.231548	−	0.291258i
$989$	5.22628	−	3.01740i	0.166186	−	0.0959476i
$990$	−0.583495	−	0.143586i	−0.0185447	−	0.00456346i
$991$	−22.9281	+	39.7127i	−0.728337	+	1.26152i	0.229249	+	0.973368i	$0.426373\pi$
$991$	−22.9281	+	39.7127i	−0.728337	+	1.26152i	−0.957586	+	0.288148i	$0.906960\pi$
$992$	8.30387	+	14.3827i	0.263648	+	0.456652i
$993$	28.4081	+	48.0590i	0.901503	+	1.52511i
$994$	10.5926	+	11.5320i	0.335976	+	0.365771i
$995$	0.170802	−	0.170802i	0.00541480	−	0.00541480i
$996$	6.12928	−	10.8723i	0.194214	−	0.344501i
$997$	1.17694	−	2.03853i	0.0372742	−	0.0645608i	−0.846786	−	0.531933i	$-0.821466\pi$
$997$	1.17694	−	2.03853i	0.0372742	−	0.0645608i	0.884061	+	0.467372i	$0.154799\pi$
$998$	−20.5852	+	35.6546i	−0.651613	+	1.12863i
$999$	8.76503	+	14.1569i	0.277313	+	0.447905i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.cd.e.200.20	yes	112
3.2	odd	2	inner	273.2.cd.e.200.9	yes	112
7.2	even	3	inner	273.2.cd.e.44.9	✓	112
13.8	odd	4	inner	273.2.cd.e.242.20	yes	112
21.2	odd	6	inner	273.2.cd.e.44.20	yes	112
39.8	even	4	inner	273.2.cd.e.242.9	yes	112
91.86	odd	12	inner	273.2.cd.e.86.9	yes	112
273.86	even	12	inner	273.2.cd.e.86.20	yes	112

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.cd.e.44.9	✓	112	7.2	even	3	inner
273.2.cd.e.44.20	yes	112	21.2	odd	6	inner
273.2.cd.e.86.9	yes	112	91.86	odd	12	inner
273.2.cd.e.86.20	yes	112	273.86	even	12	inner
273.2.cd.e.200.9	yes	112	3.2	odd	2	inner
273.2.cd.e.200.20	yes	112	1.1	even	1	trivial
273.2.cd.e.242.9	yes	112	39.8	even	4	inner
273.2.cd.e.242.20	yes	112	13.8	odd	4	inner

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.cd (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.416100 - 1.55291i) q^{2} +(1.23724 + 1.21212i) q^{3} +(-0.506326 - 0.292327i) q^{4} +(-0.0245087 + 0.0914679i) q^{5} +(2.39712 - 1.41696i) q^{6} +(0.575745 + 2.58235i) q^{7} +(1.60897 - 1.60897i) q^{8} +(0.0615393 + 2.99937i) q^{9} +O(q^{10})\)	\(q+(0.416100 - 1.55291i) q^{2} +(1.23724 + 1.21212i) q^{3} +(-0.506326 - 0.292327i) q^{4} +(-0.0245087 + 0.0914679i) q^{5} +(2.39712 - 1.41696i) q^{6} +(0.575745 + 2.58235i) q^{7} +(1.60897 - 1.60897i) q^{8} +(0.0615393 + 2.99937i) q^{9} +(0.131843 + 0.0761195i) q^{10} +(0.340528 + 1.27087i) q^{11} +(-0.272113 - 0.975407i) q^{12} +(-3.58226 - 0.409129i) q^{13} +(4.24971 + 0.180437i) q^{14} +(-0.141193 + 0.0834605i) q^{15} +(-2.41374 - 4.18073i) q^{16} +(3.46014 - 5.99314i) q^{17} +(4.68334 + 1.15247i) q^{18} +(-5.35909 - 1.43596i) q^{19} +(0.0391480 - 0.0391480i) q^{20} +(-2.41777 + 3.89286i) q^{21} +2.11523 q^{22} +(-0.322094 - 0.557883i) q^{23} +(3.94095 - 0.0404248i) q^{24} +(4.32236 + 2.49552i) q^{25} +(-2.12592 + 5.39268i) q^{26} +(-3.55945 + 3.78554i) q^{27} +(0.463376 - 1.47582i) q^{28} -4.67163i q^{29} +(0.0708558 + 0.253987i) q^{30} +(-1.33897 - 4.99711i) q^{31} +(-3.10084 + 0.830867i) q^{32} +(-1.11913 + 1.98513i) q^{33} +(-7.86701 - 7.86701i) q^{34} +(-0.250313 - 0.0106279i) q^{35} +(0.845639 - 1.53665i) q^{36} +(0.829364 - 3.09523i) q^{37} +(-4.45983 + 7.72465i) q^{38} +(-3.93622 - 4.84832i) q^{39} +(0.107735 + 0.186603i) q^{40} +(-2.51881 - 2.51881i) q^{41} +(5.03921 + 5.37439i) q^{42} +9.36807i q^{43} +(0.199091 - 0.743019i) q^{44} +(-0.275854 - 0.0678819i) q^{45} +(-1.00036 + 0.268046i) q^{46} +(-12.6118 - 3.37931i) q^{47} +(2.08115 - 8.09832i) q^{48} +(-6.33704 + 2.97355i) q^{49} +(5.67384 - 5.67384i) q^{50} +(11.5454 - 3.22087i) q^{51} +(1.69419 + 1.25435i) q^{52} +(1.44273 + 0.832960i) q^{53} +(4.39750 + 7.10265i) q^{54} -0.124589 q^{55} +(5.08128 + 3.22857i) q^{56} +(-4.88993 - 8.27248i) q^{57} +(-7.25459 - 1.94386i) q^{58} +(1.23105 + 4.59432i) q^{59} +(0.0958875 - 0.000983578i) q^{60} +(7.28610 + 12.6199i) q^{61} -8.31719 q^{62} +(-7.70998 + 1.88579i) q^{63} -4.49394i q^{64} +(0.125219 - 0.317635i) q^{65} +(2.61705 + 2.56391i) q^{66} +(0.170942 + 0.637963i) q^{67} +(-3.50392 + 2.02299i) q^{68} +(0.277712 - 1.08065i) q^{69} +(-0.120659 + 0.384290i) q^{70} +(2.60306 + 2.60306i) q^{71} +(4.92492 + 4.72689i) q^{72} +(7.71706 - 2.06778i) q^{73} +(-4.46150 - 2.57585i) q^{74} +(2.32295 + 8.32677i) q^{75} +(2.29367 + 2.29367i) q^{76} +(-3.08576 + 1.61106i) q^{77} +(-9.16684 + 4.09519i) q^{78} +(1.37794 + 2.38667i) q^{79} +(0.441560 - 0.118316i) q^{80} +(-8.99243 + 0.369158i) q^{81} +(-4.95954 + 2.86339i) q^{82} +(8.71510 + 8.71510i) q^{83} +(2.36217 - 1.26428i) q^{84} +(0.463376 + 0.463376i) q^{85} +(14.5477 + 3.89805i) q^{86} +(5.66256 - 5.77994i) q^{87} +(2.59269 + 1.49689i) q^{88} +(-14.3723 - 3.85105i) q^{89} +(-0.220197 + 0.400130i) q^{90} +(-1.00596 - 9.48620i) q^{91} +0.376627i q^{92} +(4.40046 - 7.80563i) q^{93} +(-10.4955 + 18.1788i) q^{94} +(0.262689 - 0.454991i) q^{95} +(-4.84360 - 2.73060i) q^{96} +(-0.0645525 + 0.0645525i) q^{97} +(1.98080 + 11.0781i) q^{98} +(-3.79085 + 1.09958i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 112 q - 12 q^{3} - 8 q^{6} - 4 q^{7} + 8 q^{9}+O(q^{10}) \) 112 * q - 12 * q^3 - 8 * q^6 - 4 * q^7 + 8 * q^9	\( 112 q - 12 q^{3} - 8 q^{6} - 4 q^{7} + 8 q^{9} - 48 q^{13} - 12 q^{15} + 40 q^{16} - 26 q^{18} + 40 q^{19} - 10 q^{21} + 16 q^{22} + 32 q^{24} - 24 q^{27} - 52 q^{28} - 12 q^{31} - 44 q^{33} + 16 q^{34} - 8 q^{37} - 42 q^{39} - 160 q^{40} - 80 q^{42} + 6 q^{45} + 32 q^{46} + 72 q^{48} - 12 q^{52} + 34 q^{54} - 48 q^{55} - 24 q^{57} - 28 q^{58} + 44 q^{60} + 78 q^{63} + 4 q^{66} + 24 q^{67} - 12 q^{70} - 26 q^{72} - 40 q^{73} + 112 q^{76} + 32 q^{78} + 48 q^{79} + 128 q^{81} - 150 q^{84} + 160 q^{85} - 48 q^{87} + 24 q^{91} + 10 q^{93} - 8 q^{94} - 106 q^{96} + 56 q^{97} - 36 q^{99}+O(q^{100}) \) 112 * q - 12 * q^3 - 8 * q^6 - 4 * q^7 + 8 * q^9 - 48 * q^13 - 12 * q^15 + 40 * q^16 - 26 * q^18 + 40 * q^19 - 10 * q^21 + 16 * q^22 + 32 * q^24 - 24 * q^27 - 52 * q^28 - 12 * q^31 - 44 * q^33 + 16 * q^34 - 8 * q^37 - 42 * q^39 - 160 * q^40 - 80 * q^42 + 6 * q^45 + 32 * q^46 + 72 * q^48 - 12 * q^52 + 34 * q^54 - 48 * q^55 - 24 * q^57 - 28 * q^58 + 44 * q^60 + 78 * q^63 + 4 * q^66 + 24 * q^67 - 12 * q^70 - 26 * q^72 - 40 * q^73 + 112 * q^76 + 32 * q^78 + 48 * q^79 + 128 * q^81 - 150 * q^84 + 160 * q^85 - 48 * q^87 + 24 * q^91 + 10 * q^93 - 8 * q^94 - 106 * q^96 + 56 * q^97 - 36 * q^99

Introduction

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