LMFDB - Embedded newform 273.2.cd.e.44.19

Newspace parameters

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

Newform invariants

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			44.19
Character	$\chi$	$=$	273.44
Dual form			273.2.cd.e.242.19

$q$-expansion

$f(q)$	$=$	$q+(1.27346 - 0.341222i) q^{2} +(-0.898259 + 1.48092i) q^{3} +(-0.226792 + 0.130939i) q^{4} +(3.02659 - 0.810973i) q^{5} +(-0.638570 + 2.19240i) q^{6} +(-0.631669 + 2.56924i) q^{7} +(-2.10860 + 2.10860i) q^{8} +(-1.38626 - 2.66050i) q^{9} +O(q^{10})$	\(q+(1.27346 - 0.341222i) q^{2} +(-0.898259 + 1.48092i) q^{3} +(-0.226792 + 0.130939i) q^{4} +(3.02659 - 0.810973i) q^{5} +(-0.638570 + 2.19240i) q^{6} +(-0.631669 + 2.56924i) q^{7} +(-2.10860 + 2.10860i) q^{8} +(-1.38626 - 2.66050i) q^{9} +(3.57751 - 2.06548i) q^{10} +(5.55472 + 1.48838i) q^{11} +(0.00980824 - 0.453479i) q^{12} +(-3.53198 - 0.724662i) q^{13} +(0.0722771 + 3.48735i) q^{14} +(-1.51767 + 5.21061i) q^{15} +(-1.70383 + 2.95113i) q^{16} +(1.21796 + 2.10958i) q^{17} +(-2.67317 - 2.91501i) q^{18} +(0.330677 + 1.23410i) q^{19} +(-0.580220 + 0.580220i) q^{20} +(-3.23744 - 3.24330i) q^{21} +7.58155 q^{22} +(2.91091 - 5.04184i) q^{23} +(-1.22861 - 5.01674i) q^{24} +(4.17246 - 2.40897i) q^{25} +(-4.74509 + 0.282362i) q^{26} +(5.18522 + 0.336872i) q^{27} +(-0.193155 - 0.665394i) q^{28} -7.05212i q^{29} +(-0.154719 + 7.15335i) q^{30} +(-5.49852 - 1.47332i) q^{31} +(0.380834 - 1.42129i) q^{32} +(-7.19375 + 6.88915i) q^{33} +(2.27086 + 2.27086i) q^{34} +(0.171779 + 8.28831i) q^{35} +(0.662756 + 0.421866i) q^{36} +(3.73930 - 1.00194i) q^{37} +(0.842206 + 1.45874i) q^{38} +(4.24580 - 4.57965i) q^{39} +(-4.67186 + 8.09189i) q^{40} +(-3.64350 - 3.64350i) q^{41} +(-5.22942 - 3.02551i) q^{42} -3.28245i q^{43} +(-1.45465 + 0.389773i) q^{44} +(-6.35325 - 6.92804i) q^{45} +(1.98653 - 7.41382i) q^{46} +(-0.259833 - 0.969711i) q^{47} +(-2.83990 - 5.17412i) q^{48} +(-6.20199 - 3.24582i) q^{49} +(4.49145 - 4.49145i) q^{50} +(-4.21817 - 0.0912342i) q^{51} +(0.895912 - 0.298125i) q^{52} +(1.84206 - 1.06352i) q^{53} +(6.71810 - 1.34032i) q^{54} +18.0189 q^{55} +(-4.08556 - 6.74944i) q^{56} +(-2.12465 - 0.618837i) q^{57} +(-2.40634 - 8.98057i) q^{58} +(-5.87294 - 1.57365i) q^{59} +(-0.338073 - 1.38045i) q^{60} +(0.884899 - 1.53269i) q^{61} -7.50485 q^{62} +(7.71113 - 1.88108i) q^{63} -8.75523i q^{64} +(-11.2775 + 0.671083i) q^{65} +(-6.81020 + 11.2277i) q^{66} +(11.3478 + 3.04063i) q^{67} +(-0.552450 - 0.318957i) q^{68} +(4.85182 + 8.83970i) q^{69} +(3.04690 + 10.4962i) q^{70} +(-3.00598 - 3.00598i) q^{71} +(8.53301 + 2.68686i) q^{72} +(-1.23231 + 4.59905i) q^{73} +(4.41994 - 2.55186i) q^{74} +(-0.180449 + 8.34297i) q^{75} +(-0.236587 - 0.236587i) q^{76} +(-7.33275 + 13.3312i) q^{77} +(3.84416 - 7.28074i) q^{78} +(-1.91528 + 3.31736i) q^{79} +(-2.76353 + 10.3136i) q^{80} +(-5.15655 + 7.37631i) q^{81} +(-5.88307 - 3.39659i) q^{82} +(7.60088 + 7.60088i) q^{83} +(1.15890 + 0.311648i) q^{84} +(5.39709 + 5.39709i) q^{85} +(-1.12004 - 4.18006i) q^{86} +(10.4436 + 6.33463i) q^{87} +(-14.8511 + 8.57427i) q^{88} +(-0.620849 - 2.31704i) q^{89} +(-10.4546 - 6.65469i) q^{90} +(4.09287 - 8.61675i) q^{91} +1.52460i q^{92} +(7.12097 - 6.81945i) q^{93} +(-0.661773 - 1.14622i) q^{94} +(2.00165 + 3.46696i) q^{95} +(1.76273 + 1.84067i) q^{96} +(-9.02015 + 9.02015i) q^{97} +(-9.00550 - 2.01716i) q^{98} +(-3.74045 - 16.8416i) 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 $\left(\mathbb{Z}/273\mathbb{Z}\right)^\times$.

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

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 $

$2$	1.27346	−	0.341222i	0.900469	−	0.241280i	0.221252	−	0.975217i	$-0.428986\pi$
$2$	1.27346	−	0.341222i	0.900469	−	0.241280i	0.679218	+	0.733937i	$0.262319\pi$
$3$	−0.898259	+	1.48092i	−0.518610	+	0.855011i
$3$	−0.898259	+	1.48092i	−0.518610	+	0.855011i
$4$	−0.226792	+	0.130939i	−0.113396	+	0.0654693i
$5$	3.02659	−	0.810973i	1.35353	−	0.362678i	0.492096	−	0.870541i	$-0.336231\pi$
$5$	3.02659	−	0.810973i	1.35353	−	0.362678i	0.861438	+	0.507863i	$0.169564\pi$
$6$	−0.638570	+	2.19240i	−0.260695	+	0.895042i
$7$	−0.631669	+	2.56924i	−0.238749	+	0.971081i
$7$	−0.631669	+	2.56924i	−0.238749	+	0.971081i
$8$	−2.10860	+	2.10860i	−0.745503	+	0.745503i
$9$	−1.38626	−	2.66050i	−0.462088	−	0.886834i
$10$	3.57751	−	2.06548i	1.13131	−	0.653161i
$11$	5.55472	+	1.48838i	1.67481	+	0.448764i	0.966401	−	0.257039i	$-0.0827467\pi$
$11$	5.55472	+	1.48838i	1.67481	+	0.448764i	0.708409	+	0.705803i	$0.249413\pi$
$12$	0.00980824	−	0.453479i	0.00283139	−	0.130908i
$13$	−3.53198	−	0.724662i	−0.979594	−	0.200985i
$13$	−3.53198	−	0.724662i	−0.979594	−	0.200985i
$14$	0.0722771	+	3.48735i	0.0193169	+	0.932034i
$15$	−1.51767	+	5.21061i	−0.391862	+	1.34537i
$16$	−1.70383	+	2.95113i	−0.425958	+	0.737781i
$17$	1.21796	+	2.10958i	0.295400	+	0.511647i	0.975078	−	0.221863i	$-0.0712138\pi$
$17$	1.21796	+	2.10958i	0.295400	+	0.511647i	−0.679678	+	0.733511i	$0.737880\pi$
$18$	−2.67317	−	2.91501i	−0.630071	−	0.687075i
$19$	0.330677	+	1.23410i	0.0758626	+	0.283123i	0.993428	−	0.114463i	$-0.0365147\pi$
$19$	0.330677	+	1.23410i	0.0758626	+	0.283123i	−0.917565	+	0.397586i	$0.869848\pi$
$20$	−0.580220	+	0.580220i	−0.129741	+	0.129741i
$21$	−3.23744	−	3.24330i	−0.706468	−	0.707745i
$22$	7.58155			1.61639
$23$	2.91091	−	5.04184i	0.606966	−	1.05130i	−0.384772	−	0.923012i	$-0.625720\pi$
$23$	2.91091	−	5.04184i	0.606966	−	1.05130i	0.991737	−	0.128284i	$-0.0409469\pi$
$24$	−1.22861	−	5.01674i	−0.250788	−	1.02404i
$25$	4.17246	−	2.40897i	0.834492	−	0.481794i
$26$	−4.74509	+	0.282362i	−0.930588	+	0.0553757i
$27$	5.18522	+	0.336872i	0.997896	+	0.0648310i
$28$	−0.193155	−	0.665394i	−0.0365029	−	0.125748i
$29$		−	7.05212i		−	1.30955i	−0.755826	−	0.654773i	$-0.772764\pi$
$29$		−	7.05212i		−	1.30955i	0.755826	−	0.654773i	$-0.227236\pi$
$30$	−0.154719	+	7.15335i	−0.0282477	+	1.30602i
$31$	−5.49852	−	1.47332i	−0.987563	−	0.264617i	−0.271336	−	0.962485i	$-0.587466\pi$
$31$	−5.49852	−	1.47332i	−0.987563	−	0.264617i	−0.716227	+	0.697868i	$0.754132\pi$
$32$	0.380834	−	1.42129i	0.0673225	−	0.251251i
$33$	−7.19375	+	6.88915i	−1.25227	+	1.19925i
$34$	2.27086	+	2.27086i	0.389449	+	0.389449i
$35$	0.171779	+	8.28831i	0.0290360	+	1.40098i
$36$	0.662756	+	0.421866i	0.110459	+	0.0703111i
$37$	3.73930	−	1.00194i	0.614736	−	0.164718i	0.0620026	−	0.998076i	$-0.480251\pi$
$37$	3.73930	−	1.00194i	0.614736	−	0.164718i	0.552734	+	0.833358i	$0.313585\pi$
$38$	0.842206	+	1.45874i	0.136624	+	0.236639i
$39$	4.24580	−	4.57965i	0.679872	−	0.733331i
$40$	−4.67186	+	8.09189i	−0.738685	+	1.27944i
$41$	−3.64350	−	3.64350i	−0.569018	−	0.569018i	0.362835	−	0.931853i	$-0.381809\pi$
$41$	−3.64350	−	3.64350i	−0.569018	−	0.569018i	−0.931853	+	0.362835i	$0.881809\pi$
$42$	−5.22942	−	3.02551i	−0.806918	−	0.466846i
$43$		−	3.28245i		−	0.500569i	−0.968172	−	0.250285i	$-0.919476\pi$
$43$		−	3.28245i		−	0.500569i	0.968172	−	0.250285i	$-0.0805242\pi$
$44$	−1.45465	+	0.389773i	−0.219297	+	0.0587605i
$45$	−6.35325	−	6.92804i	−0.947087	−	1.03277i
$46$	1.98653	−	7.41382i	0.292898	−	1.09311i
$47$	−0.259833	−	0.969711i	−0.0379006	−	0.141447i	0.944383	−	0.328848i	$-0.106660\pi$
$47$	−0.259833	−	0.969711i	−0.0379006	−	0.141447i	−0.982284	+	0.187401i	$0.939994\pi$
$48$	−2.83990	−	5.17412i	−0.409905	−	0.746820i
$49$	−6.20199	−	3.24582i	−0.885998	−	0.463688i
$50$	4.49145	−	4.49145i	0.635187	−	0.635187i
$51$	−4.21817	−	0.0912342i	−0.590661	−	0.0127753i
$52$	0.895912	−	0.298125i	0.124241	−	0.0413424i
$53$	1.84206	−	1.06352i	0.253027	−	0.146085i	−0.368123	−	0.929777i	$-0.619999\pi$
$53$	1.84206	−	1.06352i	0.253027	−	0.146085i	0.621149	+	0.783692i	$0.286666\pi$
$54$	6.71810	−	1.34032i	0.914218	−	0.182394i
$55$	18.0189			2.42967
$56$	−4.08556	−	6.74944i	−0.545956	−	0.901932i
$57$	−2.12465	−	0.618837i	−0.281416	−	0.0819670i
$58$	−2.40634	−	8.98057i	−0.315967	−	1.17921i
$59$	−5.87294	−	1.57365i	−0.764592	−	0.204872i	−0.144611	−	0.989489i	$-0.546193\pi$
$59$	−5.87294	−	1.57365i	−0.764592	−	0.204872i	−0.619981	+	0.784617i	$0.712860\pi$
$60$	−0.338073	−	1.38045i	−0.0436451	−	0.178215i
$61$	0.884899	−	1.53269i	0.113300	−	0.196241i	−0.803799	−	0.594901i	$-0.797191\pi$
$61$	0.884899	−	1.53269i	0.113300	−	0.196241i	0.917099	+	0.398660i	$0.130525\pi$
$62$	−7.50485			−0.953117
$63$	7.71113	−	1.88108i	0.971511	−	0.236994i
$64$		−	8.75523i		−	1.09440i
$65$	−11.2775	+	0.671083i	−1.39881	+	0.0832376i
$66$	−6.81020	+	11.2277i	−0.838277	+	1.38203i
$67$	11.3478	+	3.04063i	1.38635	+	0.371473i	0.873425	−	0.486958i	$-0.161894\pi$
$67$	11.3478	+	3.04063i	1.38635	+	0.371473i	0.512929	+	0.858431i	$0.328560\pi$
$68$	−0.552450	−	0.318957i	−0.0669944	−	0.0386792i
$69$	4.85182	+	8.83970i	0.584091	+	1.06417i
$70$	3.04690	+	10.4962i	0.364175	+	1.25453i
$71$	−3.00598	−	3.00598i	−0.356745	−	0.356745i	0.505867	−	0.862612i	$-0.331173\pi$
$71$	−3.00598	−	3.00598i	−0.356745	−	0.356745i	−0.862612	+	0.505867i	$0.831173\pi$
$72$	8.53301	+	2.68686i	1.00563	+	0.316650i
$73$	−1.23231	+	4.59905i	−0.144231	+	0.538278i	0.855557	+	0.517708i	$0.173215\pi$
$73$	−1.23231	+	4.59905i	−0.144231	+	0.538278i	−0.999788	+	0.0205696i	$0.993452\pi$
$74$	4.41994	−	2.55186i	0.513808	−	0.296647i
$75$	−0.180449	+	8.34297i	−0.0208365	+	0.963363i
$76$	−0.236587	−	0.236587i	−0.0271384	−	0.0271384i
$77$	−7.33275	+	13.3312i	−0.835645	+	1.51923i
$78$	3.84416	−	7.28074i	0.435266	−	0.824382i
$79$	−1.91528	+	3.31736i	−0.215486	+	0.373233i	−0.953423	−	0.301637i	$-0.902467\pi$
$79$	−1.91528	+	3.31736i	−0.215486	+	0.373233i	0.737937	+	0.674870i	$0.235800\pi$
$80$	−2.76353	+	10.3136i	−0.308972	+	1.15310i
$81$	−5.15655	+	7.37631i	−0.572950	+	0.819590i
$82$	−5.88307	−	3.39659i	−0.649676	−	0.375091i
$83$	7.60088	+	7.60088i	0.834305	+	0.834305i	0.988102	−	0.153797i	$-0.0491502\pi$
$83$	7.60088	+	7.60088i	0.834305	+	0.834305i	−0.153797	+	0.988102i	$0.549150\pi$
$84$	1.15890	+	0.311648i	0.126446	+	0.0340036i
$85$	5.39709	+	5.39709i	0.585397	+	0.585397i
$86$	−1.12004	−	4.18006i	−0.120777	−	0.450747i
$87$	10.4436	+	6.33463i	1.11968	+	0.679143i
$88$	−14.8511	+	8.57427i	−1.58313	+	0.914021i
$89$	−0.620849	−	2.31704i	−0.0658099	−	0.245606i	0.925183	−	0.379522i	$-0.123911\pi$
$89$	−0.620849	−	2.31704i	−0.0658099	−	0.245606i	−0.990993	+	0.133916i	$0.957245\pi$
$90$	−10.4546	−	6.65469i	−1.10201	−	0.701465i
$91$	4.09287	−	8.61675i	0.429049	−	0.903281i
$92$			1.52460i			0.158951i
$93$	7.12097	−	6.81945i	0.738410	−	0.707144i
$94$	−0.661773	−	1.14622i	−0.0682566	−	0.118224i
$95$	2.00165	+	3.46696i	0.205365	+	0.355703i
$96$	1.76273	+	1.84067i	0.179908	+	0.187863i
$97$	−9.02015	+	9.02015i	−0.915858	+	0.915858i	−0.996725	−	0.0808671i	$-0.974231\pi$
$97$	−9.02015	+	9.02015i	−0.915858	+	0.915858i	0.0808671	+	0.996725i	$0.474231\pi$
$98$	−9.00550	−	2.01716i	−0.909693	−	0.203764i
$99$	−3.74045	−	16.8416i	−0.375930	−	1.69265i
$100$	−0.630855	+	1.09267i	−0.0630855	+	0.109267i
$101$	−0.202831	−	0.351314i	−0.0201824	−	0.0349570i	0.855758	−	0.517377i	$-0.173091\pi$
$101$	−0.202831	−	0.351314i	−0.0201824	−	0.0349570i	−0.875940	+	0.482420i	$0.839758\pi$
$102$	−5.40278	+	1.32315i	−0.534955	+	0.131011i
$103$	0.332744	+	0.192110i	0.0327863	+	0.0189292i	0.516304	−	0.856406i	$-0.327308\pi$
$103$	0.332744	+	0.192110i	0.0327863	+	0.0189292i	−0.483517	+	0.875335i	$0.660641\pi$
$104$	8.97555	−	5.91951i	0.880125	−	0.580455i
$105$	−12.4286	−	7.19065i	−1.21291	−	0.701736i
$106$	1.98289	−	1.98289i	0.192595	−	0.192595i
$107$	2.87599	+	1.66046i	0.278033	+	0.160522i	0.632532	−	0.774534i	$-0.282015\pi$
$107$	2.87599	+	1.66046i	0.278033	+	0.160522i	−0.354500	+	0.935056i	$0.615349\pi$
$108$	−1.22008	+	0.602546i	−0.117402	+	0.0579800i
$109$	2.01327	+	0.539455i	0.192837	+	0.0516704i	0.353945	−	0.935266i	$-0.384840\pi$
$109$	2.01327	+	0.539455i	0.192837	+	0.0516704i	−0.161108	+	0.986937i	$0.551507\pi$
$110$	22.9463	−	6.14844i	2.18784	−	0.586230i
$111$	−1.87506	+	6.43761i	−0.177973	+	0.611031i
$112$	−6.50589	−	6.24169i	−0.614749	−	0.589784i
$113$		−	6.64383i		−	0.624999i	−0.949918	−	0.312499i	$-0.898834\pi$
$113$		−	6.64383i		−	0.624999i	0.949918	−	0.312499i	$-0.101166\pi$
$114$	−2.91680	−	0.0630872i	−0.273184	−	0.00590866i
$115$	4.72133	−	17.6203i	0.440267	−	1.64310i
$116$	0.923395	+	1.59937i	0.0857351	+	0.148497i
$117$	2.96828	+	10.4014i	0.274418	+	0.961611i
$118$	−8.01590			−0.737923
$119$	−6.18936	+	1.79669i	−0.567378	+	0.164702i
$120$	−7.78693	−	14.1873i	−0.710846	−	1.29511i
$121$	19.1133	+	11.0351i	1.73757	+	1.00319i
$122$	0.603893	−	2.25376i	0.0546739	−	0.204046i
$123$	8.66854	−	2.12293i	0.781615	−	0.191418i
$124$	1.43994	−	0.385830i	0.129310	−	0.0346485i
$125$	−0.403372	+	0.403372i	−0.0360787	+	0.0360787i
$126$	9.17792	−	5.02668i	0.817634	−	0.447812i
$127$			18.6141i			1.65173i	0.563865	+	0.825867i	$0.309314\pi$
$127$			18.6141i			1.65173i	−0.563865	+	0.825867i	$0.690686\pi$
$128$	−2.22581	−	8.30682i	−0.196735	−	0.734226i
$129$	4.86106	+	2.94849i	0.427992	+	0.259600i
$130$	−14.1325	+	4.70273i	−1.23950	+	0.412457i
$131$	16.1135	+	9.30312i	1.40784	+	0.812817i	0.995180	−	0.0980674i	$-0.0312661\pi$
$131$	16.1135	+	9.30312i	1.40784	+	0.812817i	0.412661	+	0.910885i	$0.364599\pi$
$132$	0.729431	−	2.50435i	0.0634888	−	0.217975i
$133$	−3.37959	+	0.0700436i	−0.293047	+	0.00607355i
$134$	15.4885			1.33800
$135$	15.9667	−	3.18550i	1.37420	−	0.274164i
$136$	−7.01645	−	1.88005i	−0.601656	−	0.161213i
$137$	7.27234	+	1.94862i	0.621318	+	0.166482i	0.555727	−	0.831365i	$-0.312440\pi$
$137$	7.27234	+	1.94862i	0.621318	+	0.166482i	0.0655912	+	0.997847i	$0.479107\pi$
$138$	9.19488	+	9.60142i	0.782720	+	0.817328i
$139$	−10.8017			−0.916186			−0.458093	−	0.888904i	$-0.651467\pi$
$139$	−10.8017			−0.916186			−0.458093	+	0.888904i	$0.651467\pi$
$140$	−1.12422	−	1.85723i	−0.0950138	−	0.156965i
$141$	1.66946	+	0.486258i	0.140594	+	0.0409503i
$142$	−4.85370	−	2.80228i	−0.407313	−	0.235162i
$143$	−18.5406	−	9.28222i	−1.55044	−	0.776218i
$144$	10.2134	+	0.442017i	0.851120	+	0.0368348i
$145$	−5.71908	−	21.3439i	−0.474944	−	1.77251i
$146$			6.27717i			0.519503i
$147$	10.3778	−	6.26908i	0.855946	−	0.517065i
$148$	−0.716851	+	0.716851i	−0.0589248	+	0.0589248i
$149$	−11.7325	+	3.14373i	−0.961168	+	0.257544i	−0.705095	−	0.709113i	$-0.749095\pi$
$149$	−11.7325	+	3.14373i	−0.961168	+	0.257544i	−0.256073	+	0.966657i	$0.582429\pi$
$150$	2.61701	+	10.6860i	0.213678	+	0.872506i
$151$	1.09539	−	4.08807i	0.0891420	−	0.332682i	−0.906924	−	0.421294i	$-0.861576\pi$
$151$	1.09539	−	4.08807i	0.0891420	−	0.332682i	0.996066	+	0.0886112i	$0.0282429\pi$
$152$	−3.29950	−	1.90497i	−0.267625	−	0.154513i
$153$	3.92411	−	6.16482i	0.317246	−	0.498397i
$154$	−4.78903	+	19.4788i	−0.385911	+	1.56965i
$155$	−17.8366			−1.43267
$156$	−0.363261	+	1.59457i	−0.0290842	+	0.127668i
$157$	−10.1610	−	17.5994i	−0.810936	−	1.40458i	−0.912209	−	0.409724i	$-0.865625\pi$
$157$	−10.1610	−	17.5994i	−0.810936	−	1.40458i	0.101273	−	0.994859i	$-0.467708\pi$
$158$	−1.30707	+	4.87805i	−0.103985	+	0.388077i
$159$	−0.0796649	+	3.68326i	−0.00631784	+	0.292102i
$160$		−	4.61051i		−	0.364493i
$161$	11.1150	+	10.6636i	0.875982	+	0.840409i
$162$	−4.04968	+	11.1529i	−0.318173	+	0.876257i
$163$	−22.8580	+	6.12479i	−1.79038	+	0.479730i	−0.992410	−	0.122970i	$-0.960758\pi$
$163$	−22.8580	+	6.12479i	−1.79038	+	0.479730i	−0.797967	+	0.602701i	$0.794091\pi$
$164$	1.30339	+	0.349243i	0.101778	+	0.0272713i
$165$	−16.1856	+	26.6846i	−1.26005	+	2.07739i
$166$	12.2730	+	7.08581i	0.952568	+	0.549965i
$167$	8.84266	−	8.84266i	0.684265	−	0.684265i	−0.276693	−	0.960958i	$-0.589239\pi$
$167$	8.84266	−	8.84266i	0.684265	−	0.684265i	0.960958	+	0.276693i	$0.0892385\pi$
$168$	13.6653	+	0.0123398i	1.05430	+	0.000952038i
$169$	11.9497	+	5.11898i	0.919210	+	0.393768i
$170$	8.71456	+	5.03136i	0.668377	+	0.385887i
$171$	2.82493	−	2.59056i	0.216028	−	0.198105i
$172$	0.429800	+	0.744435i	0.0327719	+	0.0567626i
$173$	−1.39333	+	2.41332i	−0.105933	+	0.183482i	−0.914119	−	0.405446i	$-0.867116\pi$
$173$	−1.39333	+	2.41332i	−0.105933	+	0.183482i	0.808186	+	0.588927i	$0.200450\pi$
$174$	15.4610	+	4.50327i	1.17210	+	0.341392i
$175$	3.55361	+	12.2417i	0.268628	+	0.925387i
$176$	−13.8567	+	13.8567i	−1.04449	+	1.04449i
$177$	7.60588	−	7.28383i	0.571693	−	0.547486i
$178$	−1.58125	−	2.73880i	−0.118520	−	0.205282i
$179$	−9.48233	−	16.4239i	−0.708742	−	1.22758i	−0.965324	−	0.261055i	$-0.915930\pi$
$179$	−9.48233	−	16.4239i	−0.708742	−	1.22758i	0.256582	−	0.966523i	$-0.417404\pi$
$180$	2.34802	+	0.739340i	0.175011	+	0.0551072i
$181$		−	24.9776i		−	1.85657i	−0.371870	−	0.928285i	$-0.621283\pi$
$181$		−	24.9776i		−	1.85657i	0.371870	−	0.928285i	$-0.378717\pi$
$182$	2.27187	−	12.3696i	0.168402	−	0.916898i
$183$	1.47493	+	2.68722i	0.109030	+	0.198645i
$184$	4.49328	+	16.7692i	0.331249	+	1.23624i
$185$	10.5048	−	6.06494i	0.772327	−	0.445903i
$186$	6.74130	−	11.1141i	0.494296	−	0.814926i
$187$	3.62559	+	13.5309i	0.265130	+	0.989477i
$188$	0.185901	+	0.185901i	0.0135582	+	0.0135582i
$189$	−4.14085	+	13.1093i	−0.301202	+	0.953560i
$190$	3.73202	+	3.73202i	0.270749	+	0.270749i
$191$	−2.83282	−	1.63553i	−0.204976	−	0.118343i	0.393998	−	0.919111i	$-0.371092\pi$
$191$	−2.83282	−	1.63553i	−0.204976	−	0.118343i	−0.598974	+	0.800768i	$0.704425\pi$
$192$	12.9658	+	7.86446i	0.935727	+	0.567569i
$193$	−0.348600	+	1.30099i	−0.0250928	+	0.0936475i	−0.977337	−	0.211691i	$-0.932103\pi$
$193$	−0.348600	+	1.30099i	−0.0250928	+	0.0936475i	0.952244	+	0.305339i	$0.0987696\pi$
$194$	−8.40890	+	14.5646i	−0.603724	+	1.04568i
$195$	9.13633	−	17.3040i	0.654266	−	1.23916i
$196$	1.83157	−	0.0759528i	0.130826	−	0.00542520i
$197$	12.5263	+	12.5263i	0.892463	+	0.892463i	0.994754	−	0.102292i	$-0.0326175\pi$
$197$	12.5263	+	12.5263i	0.892463	+	0.892463i	−0.102292	+	0.994754i	$0.532618\pi$
$198$	−10.5100	−	20.1707i	−0.746915	−	1.43347i
$199$	−10.3751	+	5.99005i	−0.735469	+	0.424623i	−0.820419	−	0.571762i	$-0.806260\pi$
$199$	−10.3751	+	5.99005i	−0.735469	+	0.424623i	0.0849508	+	0.996385i	$0.472927\pi$
$200$	−3.71849	+	13.8776i	−0.262937	+	0.981295i
$201$	−14.6962	+	14.0739i	−1.03659	+	0.992699i
$202$	−0.378172	−	0.378172i	−0.0266081	−	0.0266081i
$203$	18.1186	+	4.45461i	1.27168	+	0.312652i
$204$	0.968594	−	0.531630i	0.0678151	−	0.0372215i
$205$	−13.9822	−	8.07260i	−0.976556	−	0.563815i
$206$	0.489287	+	0.131104i	0.0340903	+	0.00913446i
$207$	−17.4491	−	0.755163i	−1.21280	−	0.0524874i
$208$	8.15647	−	9.18861i	0.565549	−	0.637115i
$209$			7.34727i			0.508221i
$210$	−18.2809	−	4.91606i	−1.26150	−	0.339240i
$211$	−6.53372			−0.449800			−0.224900	−	0.974382i	$-0.572206\pi$
$211$	−6.53372			−0.449800			−0.224900	+	0.974382i	$0.572206\pi$
$212$	−0.278510	+	0.482394i	−0.0191282	+	0.0331310i
$213$	7.15178	−	1.75148i	0.490032	−	0.120009i
$214$	4.22903	+	1.13317i	0.289091	+	0.0774616i
$215$	−2.66198	−	9.93465i	−0.181546	−	0.677537i
$216$	−11.6439	+	10.2232i	−0.792266	+	0.695603i
$217$	7.25857	−	13.1964i	0.492744	−	0.895827i
$218$	2.74789			0.186111
$219$	−5.70390	−	5.95609i	−0.385434	−	0.402475i
$220$	−4.08655	+	2.35937i	−0.275515	+	0.159069i
$221$	−2.77309	−	8.33359i	−0.186538	−	0.560578i
$222$	−0.191152	+	8.83782i	−0.0128293	+	0.593156i
$223$	−18.6239	+	18.6239i	−1.24715	+	1.24715i	−0.290172	+	0.956974i	$0.593713\pi$
$223$	−18.6239	+	18.6239i	−1.24715	+	1.24715i	−0.956974	+	0.290172i	$0.906287\pi$
$224$	3.41107	+	1.87624i	0.227912	+	0.125361i
$225$	−12.1932	−	7.76137i	−0.812880	−	0.517425i
$226$	−2.26702	−	8.46062i	−0.150800	−	0.562792i
$227$	−3.02294	+	11.2818i	−0.200639	+	0.748796i	0.790095	+	0.612984i	$0.210031\pi$
$227$	−3.02294	+	11.2818i	−0.200639	+	0.748796i	−0.990735	+	0.135812i	$0.956636\pi$
$228$	0.562883	−	0.137851i	0.0372779	−	0.00912938i
$229$	7.14495	−	1.91448i	0.472151	−	0.126513i	−0.0148943	−	0.999889i	$-0.504741\pi$
$229$	7.14495	−	1.91448i	0.472151	−	0.126513i	0.487046	+	0.873376i	$0.338075\pi$
$230$		−	24.0496i		−	1.58579i
$231$	−13.1558	−	22.8341i	−0.865589	−	1.50238i
$232$	14.8701	+	14.8701i	0.976270	+	0.976270i
$233$	5.09771	−	8.82950i	0.333962	−	0.578440i	−0.649323	−	0.760513i	$-0.724948\pi$
$233$	5.09771	−	8.82950i	0.333962	−	0.578440i	0.983285	+	0.182073i	$0.0582808\pi$
$234$	7.32916	+	12.2329i	0.479122	+	0.799689i
$235$	−1.57282	−	2.72420i	−0.102599	−	0.177707i
$236$	1.53799	−	0.412103i	0.100115	−	0.0268256i
$237$	−3.19234	−	5.81623i	−0.207365	−	0.377805i
$238$	−7.26881	+	4.39995i	−0.471167	+	0.285206i
$239$	−11.2042	−	11.2042i	−0.724743	−	0.724743i	0.244825	−	0.969567i	$-0.421270\pi$
$239$	−11.2042	−	11.2042i	−0.724743	−	0.724743i	−0.969567	+	0.244825i	$0.921270\pi$
$240$	−12.7913	−	13.3569i	−0.825675	−	0.862182i
$241$	3.73806	−	13.9506i	0.240789	−	0.898638i	−0.734664	−	0.678431i	$-0.762660\pi$
$241$	3.73806	−	13.9506i	0.240789	−	0.898638i	0.975453	−	0.220207i	$-0.0706732\pi$
$242$	28.1054	+	7.53081i	1.80668	+	0.484099i
$243$	−6.29183	−	14.2623i	−0.403621	−	0.914926i
$244$			0.463470i			0.0296706i
$245$	−21.4032	−	4.79413i	−1.36740	−	0.306286i
$246$	10.3146	−	5.66135i	0.657635	−	0.360955i
$247$	−0.273636	−	4.59846i	−0.0174111	−	0.292593i
$248$	14.7008	−	8.48753i	0.933503	−	0.538958i
$249$	−18.0839	+	4.42876i	−1.14602	+	0.280661i
$250$	−0.376037	+	0.651315i	−0.0237827	+	0.0411928i
$251$	−2.16053			−0.136372			−0.0681858	−	0.997673i	$-0.521721\pi$
$251$	−2.16053			−0.136372			−0.0681858	+	0.997673i	$0.521721\pi$
$252$	−1.50252	+	1.43630i	−0.0946498	+	0.0904784i
$253$	23.6734	−	23.6734i	1.48834	−	1.48834i
$254$	6.35153	+	23.7042i	0.398530	+	1.48734i
$255$	−12.8407	+	3.14469i	−0.804113	+	0.196928i
$256$	3.08630	+	5.34562i	0.192894	+	0.334101i
$257$	−1.34808	+	2.33494i	−0.0840909	+	0.145650i	−0.905003	−	0.425404i	$-0.860132\pi$
$257$	−1.34808	+	2.33494i	−0.0840909	+	0.145650i	0.820913	+	0.571054i	$0.193465\pi$
$258$	7.19643	+	2.09608i	0.448030	+	0.130496i
$259$	0.212230	+	10.2400i	0.0131873	+	0.636285i
$260$	2.46979	−	1.62886i	0.153170	−	0.101018i
$261$	−18.7622	+	9.77609i	−1.16135	+	0.605125i
$262$	23.6942	+	6.34885i	1.46383	+	0.392233i
$263$	4.91720	−	2.83895i	0.303208	−	0.175057i	−0.340675	−	0.940181i	$-0.610656\pi$
$263$	4.91720	−	2.83895i	0.303208	−	0.175057i	0.643883	+	0.765124i	$0.277322\pi$
$264$	0.642274	−	29.6952i	0.0395292	−	1.82761i
$265$	4.71269	−	4.71269i	0.289498	−	0.289498i
$266$	−4.27986	+	1.24239i	−0.262415	+	0.0761756i
$267$	3.98904	+	1.16187i	0.244125	+	0.0711054i
$268$	−2.97173	+	0.796273i	−0.181527	+	0.0486401i
$269$	−4.47639	+	2.58444i	−0.272930	+	0.157576i	−0.630218	−	0.776418i	$-0.717035\pi$
$269$	−4.47639	+	2.58444i	−0.272930	+	0.157576i	0.357288	+	0.933994i	$0.383701\pi$
$270$	19.2460	−	9.50479i	1.17127	−	0.578443i
$271$	10.1228	−	2.71239i	0.614915	−	0.164766i	0.0620999	−	0.998070i	$-0.480220\pi$
$271$	10.1228	−	2.71239i	0.614915	−	0.164766i	0.552815	+	0.833304i	$0.313554\pi$
$272$	−8.30083			−0.503312
$273$	9.08428	+	13.8013i	0.549806	+	0.835292i
$274$	9.92592			0.599647
$275$	26.7623	−	7.17094i	1.61383	−	0.432424i
$276$	−2.25781	−	1.36949i	−0.135904	−	0.0824333i
$277$	−12.0630	+	6.96458i	−0.724795	+	0.418461i	−0.816515	−	0.577324i	$-0.804097\pi$
$277$	−12.0630	+	6.96458i	−0.724795	+	0.418461i	0.0917197	+	0.995785i	$0.470764\pi$
$278$	−13.7555	+	3.68576i	−0.824997	+	0.221057i
$279$	3.70261	+	16.6712i	0.221669	+	0.998081i
$280$	−17.8389	−	17.1145i	−1.06608	−	1.02279i
$281$	−20.9874	+	20.9874i	−1.25200	+	1.25200i	−0.297181	+	0.954821i	$0.596047\pi$
$281$	−20.9874	+	20.9874i	−1.25200	+	1.25200i	−0.954821	+	0.297181i	$0.903953\pi$
$282$	2.29191	+	0.0495715i	0.136481	+	0.00295194i
$283$	−9.36305	+	5.40576i	−0.556576	+	0.321339i	−0.751770	−	0.659426i	$-0.770800\pi$
$283$	−9.36305	+	5.40576i	−0.556576	+	0.321339i	0.195194	+	0.980765i	$0.437466\pi$
$284$	1.07533	+	0.288135i	0.0638093	+	0.0170977i
$285$	−6.93230	−	0.149938i	−0.410634	−	0.00888155i
$286$	−26.7779	−	5.49406i	−1.58341	−	0.324871i
$287$	11.6625	−	7.05953i	0.688415	−	0.416711i
$288$	−4.30928	+	0.957073i	−0.253927	+	0.0563961i
$289$	5.53313	−	9.58365i	0.325478	−	0.563744i
$290$	−14.5660	−	25.2290i	−0.855345	−	1.48150i
$291$	−5.25572	−	21.4606i	−0.308096	−	1.25804i
$292$	−0.322714	−	1.20439i	−0.0188854	−	0.0704813i
$293$	16.2882	−	16.2882i	0.951567	−	0.951567i	−0.0473130	−	0.998880i	$-0.515066\pi$
$293$	16.2882	−	16.2882i	0.951567	−	0.951567i	0.998880	+	0.0473130i	$0.0150658\pi$
$294$	11.0765	−	11.5245i	0.645996	−	0.672124i
$295$	−19.0512			−1.10920
$296$	−5.77199	+	9.99737i	−0.335490	+	0.581085i
$297$	28.3010	+	9.58882i	1.64219	+	0.556400i
$298$	−13.8682	+	8.00680i	−0.803362	+	0.463821i
$299$	−13.9349	+	15.6982i	−0.805875	+	0.907852i
$300$	−1.05149	−	1.91575i	−0.0607079	−	0.110606i
$301$	8.43341	+	2.07342i	0.486093	+	0.119510i
$302$		−	5.57975i		−	0.321078i
$303$	0.702463	+	0.0151935i	0.0403555	+	0.000872843i
$304$	−4.20541	−	1.12684i	−0.241197	−	0.0646286i
$305$	1.43526	−	5.35646i	0.0821826	−	0.306710i
$306$	2.89362	−	9.18963i	0.165417	−	0.525336i
$307$	1.84180	+	1.84180i	0.105117	+	0.105117i	0.757709	−	0.652592i	$-0.226318\pi$
$307$	1.84180	+	1.84180i	0.105117	+	0.105117i	−0.652592	+	0.757709i	$0.726318\pi$
$308$	−0.0825612	−	3.98356i	−0.00470436	−	0.226985i
$309$	−0.583390	+	0.320204i	−0.0331879	+	0.0182158i
$310$	−22.7141	+	6.08623i	−1.29008	+	0.345675i
$311$	−8.39672	−	14.5436i	−0.476134	−	0.824689i	0.523492	−	0.852031i	$-0.324629\pi$
$311$	−8.39672	−	14.5436i	−0.476134	−	0.824689i	−0.999626	+	0.0273417i	$0.991296\pi$
$312$	0.703965	+	18.6093i	0.0398541	+	1.05355i
$313$	1.59315	−	2.75942i	0.0900502	−	0.155972i	−0.817482	−	0.575954i	$-0.804631\pi$
$313$	1.59315	−	2.75942i	0.0900502	−	0.155972i	0.907532	+	0.419983i	$0.137964\pi$
$314$	−18.9449	−	18.9449i	−1.06912	−	1.06912i
$315$	21.8129	−	11.9468i	1.22902	−	0.673126i
$316$		−	1.00314i		−	0.0564309i
$317$	−16.7924	+	4.49951i	−0.943156	+	0.252718i	−0.697455	−	0.716628i	$-0.745685\pi$
$317$	−16.7924	+	4.49951i	−0.943156	+	0.252718i	−0.245700	+	0.969346i	$0.579018\pi$
$318$	1.15536	+	4.71766i	0.0647893	+	0.264553i
$319$	10.4962	−	39.1725i	0.587677	−	2.19324i
$320$	−7.10026	−	26.4985i	−0.396916	−	1.48131i
$321$	−5.04239	+	2.76760i	−0.281439	+	0.154473i
$322$	17.7931	+	9.78695i	0.991569	+	0.545405i
$323$	−2.20068	+	2.20068i	−0.122449	+	0.122449i
$324$	0.203622	−	2.34808i	0.0113123	−	0.130449i
$325$	−16.4827	+	5.48481i	−0.914297	+	0.304242i
$326$	−27.0188	+	15.5993i	−1.49643	+	0.863965i
$327$	−2.60733	+	2.49693i	−0.144186	+	0.138081i
$328$	15.3653			0.848410
$329$	2.65555	−	0.0550375i	0.146405	−	0.00303432i
$330$	−11.5063	+	39.5045i	−0.633403	+	2.17465i
$331$	8.03630	+	29.9919i	0.441715	+	1.64850i	0.724466	+	0.689310i	$0.242086\pi$
$331$	8.03630	+	29.9919i	0.441715	+	1.64850i	−0.282751	+	0.959193i	$0.591247\pi$
$332$	−2.71907	−	0.728573i	−0.149228	−	0.0399856i
$333$	−7.84931	−	8.55945i	−0.430140	−	0.469055i
$334$	8.24343	−	14.2780i	0.451060	−	0.781260i
$335$	36.8110			2.01120
$336$	15.0874	−	4.02807i	0.823087	−	0.219749i
$337$		−	8.75996i		−	0.477186i	−0.971120	−	0.238593i	$-0.923314\pi$
$337$		−	8.75996i		−	0.477186i	0.971120	−	0.238593i	$-0.0766861\pi$
$338$	16.9642	+	2.44129i	0.922729	+	0.132789i
$339$	9.83899	+	5.96788i	0.534381	+	0.324131i
$340$	−1.93071	−	0.517331i	−0.104707	−	0.0280562i
$341$	−28.3498	−	16.3678i	−1.53523	−	0.886365i
$342$	2.71347	−	4.26289i	0.146728	−	0.230511i
$343$	12.2569	−	13.8841i	0.661810	−	0.749672i
$344$	6.92138	+	6.92138i	0.373176	+	0.373176i
$345$	21.8533	+	22.8195i	1.17654	+	1.22856i
$346$	−0.950870	+	3.54870i	−0.0511191	+	0.190779i
$347$	−7.96790	+	4.60027i	−0.427739	+	0.246955i	−0.698383	−	0.715724i	$-0.746097\pi$
$347$	−7.96790	+	4.60027i	−0.427739	+	0.246955i	0.270644	+	0.962680i	$0.412763\pi$
$348$	−3.19799	−	0.0691689i	−0.171430	−	0.00370784i
$349$	−1.33529	−	1.33529i	−0.0714767	−	0.0714767i	0.670465	−	0.741941i	$-0.266095\pi$
$349$	−1.33529	−	1.33529i	−0.0714767	−	0.0714767i	−0.741941	+	0.670465i	$0.766095\pi$
$350$	8.70251	+	14.3767i	0.465169	+	0.768469i
$351$	−18.0700	−	4.94736i	−0.964503	−	0.264070i
$352$	4.23084	−	7.32804i	0.225505	−	0.390586i
$353$	−4.48512	+	16.7387i	−0.238719	+	0.890911i	0.737718	+	0.675109i	$0.235903\pi$
$353$	−4.48512	+	16.7387i	−0.238719	+	0.890911i	−0.976437	+	0.215802i	$0.930763\pi$
$354$	7.20035	−	11.8709i	0.382694	−	0.630933i
$355$	−11.5357	−	6.66012i	−0.612249	−	0.353482i
$356$	0.444194	+	0.444194i	0.0235422	+	0.0235422i
$357$	2.89889	−	10.7799i	0.153425	−	0.570530i
$358$	−17.6795	−	17.6795i	−0.934391	−	0.934391i
$359$	3.80874	+	14.2144i	0.201018	+	0.750208i	0.990627	+	0.136597i	$0.0436167\pi$
$359$	3.80874	+	14.2144i	0.201018	+	0.750208i	−0.789609	+	0.613610i	$0.789717\pi$
$360$	28.0049	+	1.21200i	1.47599	+	0.0638779i
$361$	15.0408	−	8.68382i	0.791622	−	0.457043i
$362$	−8.52289	−	31.8079i	−0.447953	−	1.67178i
$363$	−33.5108	+	18.3930i	−1.75886	+	0.965381i
$364$	0.200034	+	2.49013i	0.0104846	+	0.130518i
$365$			14.9188i			0.780886i
$366$	2.79519	+	2.91878i	0.146107	+	0.152567i
$367$	16.1097	+	27.9029i	0.840921	+	1.45652i	0.889117	+	0.457680i	$0.151320\pi$
$367$	16.1097	+	27.9029i	0.840921	+	1.45652i	−0.0481955	+	0.998838i	$0.515347\pi$
$368$	9.91940	+	17.1809i	0.517084	+	0.895616i
$369$	−4.64269	+	14.7444i	−0.241689	+	0.767561i
$370$	11.3079	−	11.3079i	0.587869	−	0.587869i
$371$	1.56885	+	5.40449i	0.0814507	+	0.280587i
$372$	−0.722051	+	2.47901i	−0.0374366	+	0.128531i
$373$	−15.0494	+	26.0664i	−0.779231	+	1.34967i	0.153155	+	0.988202i	$0.451057\pi$
$373$	−15.0494	+	26.0664i	−0.779231	+	1.34967i	−0.932386	+	0.361465i	$0.882277\pi$
$374$	9.23406	+	15.9939i	0.477482	+	0.827023i
$375$	−0.235030	−	0.959694i	−0.0121369	−	0.0495584i
$376$	2.59262	+	1.49685i	0.133704	+	0.0771941i
$377$	−5.11040	+	24.9079i	−0.263199	+	1.28282i
$378$	−0.800019	+	18.1070i	−0.0411485	+	0.931326i
$379$	15.5221	−	15.5221i	0.797315	−	0.797315i	−0.185356	−	0.982671i	$-0.559344\pi$
$379$	15.5221	−	15.5221i	0.797315	−	0.797315i	0.982671	+	0.185356i	$0.0593439\pi$
$380$	−0.907918	−	0.524187i	−0.0465752	−	0.0268902i
$381$	−27.5660	−	16.7203i	−1.41225	−	0.856605i
$382$	−4.16555	−	1.11616i	−0.213128	−	0.0571076i
$383$	12.0246	−	3.22198i	0.614428	−	0.164635i	0.0618345	−	0.998086i	$-0.480305\pi$
$383$	12.0246	−	3.22198i	0.614428	−	0.164635i	0.552593	+	0.833451i	$0.313638\pi$
$384$	14.3011	+	4.16543i	0.729800	+	0.212566i
$385$	−11.3820	+	46.2949i	−0.580080	+	2.35941i
$386$			1.77571i			0.0903811i
$387$	−8.73297	+	4.55034i	−0.443922	+	0.231307i
$388$	0.864615	−	3.22679i	0.0438942	−	0.163815i
$389$	−3.32527	−	5.75954i	−0.168598	−	0.292021i	0.769329	−	0.638853i	$-0.220591\pi$
$389$	−3.32527	−	5.75954i	−0.168598	−	0.292021i	−0.937927	+	0.346832i	$0.887257\pi$
$390$	5.73022	−	25.1534i	0.290161	−	1.27369i
$391$	14.1815			0.717190
$392$	19.9216	−	6.23338i	1.00620	−	0.314833i
$393$	−28.2513	+	15.5062i	−1.42509	+	0.782184i
$394$	20.2260	+	11.6775i	1.01897	+	0.588302i
$395$	−3.10648	+	11.5936i	−0.156304	+	0.583335i
$396$	3.05353	+	3.32978i	0.153445	+	0.167328i
$397$	5.41778	−	1.45169i	0.271911	−	0.0728582i	−0.120287	−	0.992739i	$-0.538382\pi$
$397$	5.41778	−	1.45169i	0.271911	−	0.0728582i	0.392198	+	0.919881i	$0.371715\pi$
$398$	−11.1683	+	11.1683i	−0.559814	+	0.559814i
$399$	2.93202	−	5.06783i	0.146784	−	0.253709i
$400$			16.4179i			0.820897i
$401$	−9.28470	−	34.6510i	−0.463656	−	1.73039i	−0.661307	−	0.750115i	$-0.729998\pi$
$401$	−9.28470	−	34.6510i	−0.463656	−	1.73039i	0.197651	−	0.980272i	$-0.436669\pi$
$402$	−13.9126	+	22.9372i	−0.693899	+	1.14400i
$403$	18.3530	+	9.18831i	0.914227	+	0.457702i
$404$	0.0920011	+	0.0531168i	0.00457722	+	0.00264266i
$405$	−9.62479	+	26.5069i	−0.478260	+	1.31714i
$406$	24.5932	−	0.509706i	1.22054	−	0.0252963i
$407$	22.2620			1.10349
$408$	9.08680	−	8.70205i	0.449864	−	0.430816i
$409$	9.02438	+	2.41808i	0.446227	+	0.119566i	0.474933	−	0.880022i	$-0.342472\pi$
$409$	9.02438	+	2.41808i	0.446227	+	0.119566i	−0.0287065	+	0.999588i	$0.509139\pi$
$410$	−20.5602	−	5.50909i	−1.01540	−	0.272075i
$411$	−9.41820	+	9.01941i	−0.464565	+	0.444895i
$412$	−0.100618			−0.00495712
$413$	7.75284	−	14.0950i	0.381492	−	0.693568i
$414$	−22.4783	+	4.99234i	−1.10475	+	0.245360i
$415$	29.1689	+	16.8407i	1.43184	+	0.826676i
$416$	−2.37505	+	4.74399i	−0.116446	+	0.232593i
$417$	9.70269	−	15.9964i	0.475143	−	0.783349i
$418$	2.50705	+	9.35643i	0.122624	+	0.457638i
$419$			25.6590i			1.25352i	0.779210	+	0.626762i	$0.215620\pi$
$419$			25.6590i			1.25352i	−0.779210	+	0.626762i	$0.784380\pi$
$420$	3.76026	+	0.00339553i	0.183482	+	0.000165685i
$421$	−7.93545	+	7.93545i	−0.386750	+	0.386750i	−0.873527	−	0.486776i	$-0.838173\pi$
$421$	−7.93545	+	7.93545i	−0.386750	+	0.386750i	0.486776	+	0.873527i	$0.338173\pi$
$422$	−8.32040	+	2.22945i	−0.405031	+	0.108528i
$423$	−2.21972	+	2.03556i	−0.107927	+	0.0989724i
$424$	−1.64165	+	6.12670i	−0.0797253	+	0.297539i
$425$	10.1638	+	5.86808i	0.493017	+	0.284644i
$426$	8.50984	−	4.67077i	0.412303	−	0.226300i
$427$	3.37888	+	3.24167i	0.163516	+	0.156875i
$428$	−0.869671			−0.0420371
$429$	30.4005	−	19.1193i	1.46775	−	0.923088i
$430$	−6.77983	−	11.7430i	−0.326952	−	0.566298i
$431$	4.61709	−	17.2312i	0.222397	−	0.829999i	−0.761033	−	0.648713i	$-0.775308\pi$
$431$	4.61709	−	17.2312i	0.222397	−	0.829999i	0.983430	−	0.181286i	$-0.0580258\pi$
$432$	−9.82890	+	14.7283i	−0.472893	+	0.708614i
$433$			15.4743i			0.743646i	0.928304	+	0.371823i	$0.121267\pi$
$433$			15.4743i			0.743646i	−0.928304	+	0.371823i	$0.878733\pi$
$434$	4.74058	−	19.2818i	0.227555	−	0.925554i
$435$	36.7459	+	10.7028i	1.76183	+	0.513161i
$436$	−0.527231	+	0.141271i	−0.0252498	+	0.00676566i
$437$	7.18472	+	1.92514i	0.343692	+	0.0920920i
$438$	−9.29601	−	5.63853i	−0.444181	−	0.269419i
$439$	−15.8773	−	9.16674i	−0.757780	−	0.437505i	0.0707180	−	0.997496i	$-0.477471\pi$
$439$	−15.8773	−	9.16674i	−0.757780	−	0.437505i	−0.828498	+	0.559992i	$0.810804\pi$
$440$	−37.9947	+	37.9947i	−1.81132	+	1.81132i
$441$	−0.0379262	+	21.0000i	−0.00180601	+	0.999998i
$442$	−6.37501	−	9.66622i	−0.303228	−	0.459775i
$443$	1.47962	+	0.854257i	0.0702987	+	0.0405870i	0.534737	−	0.845018i	$-0.320411\pi$
$443$	1.47962	+	0.854257i	0.0702987	+	0.0405870i	−0.464439	+	0.885605i	$0.653744\pi$
$444$	−0.417683	−	1.70552i	−0.0198224	−	0.0809403i
$445$	−3.75812	−	6.50925i	−0.178152	−	0.308568i
$446$	−17.3618	+	30.0715i	−0.822106	+	1.42393i
$447$	5.88325	−	20.1989i	0.278268	−	0.955374i
$448$	22.4943	+	5.53041i	1.06276	+	0.261287i
$449$	18.8634	−	18.8634i	0.890220	−	0.890220i	−0.104324	−	0.994543i	$-0.533268\pi$
$449$	18.8634	−	18.8634i	0.890220	−	0.890220i	0.994543	+	0.104324i	$0.0332678\pi$
$450$	−18.1759	−	5.72319i	−0.856818	−	0.269794i
$451$	−14.8157	−	25.6615i	−0.697643	−	1.20835i
$452$	0.869934	+	1.50677i	0.0409182	+	0.0708725i
$453$	5.07017	+	5.29434i	0.238217	+	0.248750i
$454$			15.3983i			0.722678i
$455$	5.39950	−	29.3986i	0.253133	−	1.37823i
$456$	5.78491	−	3.17515i	0.270903	−	0.148690i
$457$	−10.3686	−	38.6963i	−0.485025	−	1.81014i	−0.579950	−	0.814652i	$-0.696928\pi$
$457$	−10.3686	−	38.6963i	−0.485025	−	1.81014i	0.0949253	−	0.995484i	$-0.469739\pi$
$458$	8.44551	−	4.87602i	0.394633	−	0.227841i
$459$	5.60476	+	11.3489i	0.261608	+	0.529722i
$460$	1.23641	+	4.61434i	0.0576479	+	0.215145i
$461$	12.4061	+	12.4061i	0.577811	+	0.577811i	0.934300	−	0.356489i	$-0.116026\pi$
$461$	12.4061	+	12.4061i	0.577811	+	0.577811i	−0.356489	+	0.934300i	$0.616026\pi$
$462$	−24.5449	−	24.5892i	−1.14193	−	1.14399i
$463$	17.7000	+	17.7000i	0.822588	+	0.822588i	0.986479	−	0.163891i	$-0.0524044\pi$
$463$	17.7000	+	17.7000i	0.822588	+	0.822588i	−0.163891	+	0.986479i	$0.552404\pi$
$464$	20.8117	+	12.0156i	0.966158	+	0.557812i
$465$	16.0219	−	26.4146i	0.742997	−	1.22495i
$466$	3.47890	−	12.9834i	0.161157	−	0.601446i
$467$	10.8353	−	18.7673i	0.501399	−	0.868448i	−0.498600	−	0.866832i	$-0.666152\pi$
$467$	10.8353	−	18.7673i	0.501399	−	0.868448i	0.999999	−	0.00161598i	$-0.000514382\pi$
$468$	−2.03513	−	1.97030i	−0.0940739	−	0.0910770i
$469$	−14.9802	+	27.2345i	−0.691720	+	1.25757i
$470$	−2.93247	−	2.93247i	−0.135265	−	0.135265i
$471$	35.1905	+	0.761132i	1.62149	+	0.0350711i
$472$	15.7019	−	9.06549i	0.722738	−	0.417273i
$473$	4.88554	−	18.2331i	0.224637	−	0.838358i
$474$	−6.04993	−	6.31742i	−0.277883	−	0.290169i
$475$	4.35266	+	4.35266i	0.199714	+	0.199714i
$476$	1.16844	−	1.21790i	0.0535555	−	0.0558224i
$477$	−5.38307	−	3.42650i	−0.246474	−	0.156889i
$478$	−18.0913	−	10.4450i	−0.827475	−	0.477743i
$479$	27.9284	+	7.48339i	1.27608	+	0.341925i	0.832357	−	0.554239i	$-0.186991\pi$
$479$	27.9284	+	7.48339i	1.27608	+	0.341925i	0.443723	+	0.896164i	$0.353657\pi$
$480$	6.82781	+	4.14143i	0.311645	+	0.189030i
$481$	−13.9332	+	0.829109i	−0.635298	+	0.0378041i
$482$		−	19.0410i		−	0.867294i
$483$	−25.7761	+	6.88173i	−1.17285	+	0.313130i
$484$	−5.77967			−0.262712
$485$	−19.9852	+	34.6154i	−0.907482	+	1.57181i
$486$	−12.8790	−	16.0155i	−0.584202	−	0.726477i
$487$	−8.81764	−	2.36268i	−0.399565	−	0.107063i	0.0534399	−	0.998571i	$-0.482981\pi$
$487$	−8.81764	−	2.36268i	−0.399565	−	0.107063i	−0.453005	+	0.891508i	$0.649648\pi$
$488$	1.36593	+	5.09773i	0.0618328	+	0.230763i
$489$	11.4621	−	39.3526i	0.518333	−	1.77959i
$490$	−28.8919	+	1.19811i	−1.30520	+	0.0541251i
$491$	−21.0075			−0.948057			−0.474029	−	0.880509i	$-0.657201\pi$
$491$	−21.0075			−0.948057			−0.474029	+	0.880509i	$0.657201\pi$
$492$	−1.68798	+	1.61651i	−0.0761002	+	0.0728779i
$493$	14.8770	−	8.58923i	0.670026	−	0.386840i
$494$	−1.91756	−	5.76256i	−0.0862750	−	0.259270i
$495$	−24.9789	−	47.9393i	−1.12272	−	2.15471i
$496$	13.7165	−	13.7165i	0.615890	−	0.615890i
$497$	9.62188	−	5.82431i	0.431600	−	0.261256i
$498$	−21.5178	+	11.8104i	−0.964237	+	0.529238i
$499$	−1.63229	−	6.09180i	−0.0730715	−	0.272707i	0.919718	−	0.392581i	$-0.128418\pi$
$499$	−1.63229	−	6.09180i	−0.0730715	−	0.272707i	−0.992789	+	0.119874i	$0.961751\pi$
$500$	0.0386647	−	0.144299i	0.00172914	−	0.00645323i
$501$	5.15230	+	21.0383i	0.230188	+	0.939921i
$502$	−2.75134	+	0.737220i	−0.122798	+	0.0329037i
$503$		−	0.987759i		−	0.0440420i	−0.999758	−	0.0220210i	$-0.992990\pi$
$503$		−	0.987759i		−	0.0440420i	0.999758	−	0.0220210i	$-0.00701007\pi$
$504$	−12.2932	+	20.2261i	−0.547584	+	0.900944i
$505$	−0.898793	−	0.898793i	−0.0399958	−	0.0399958i
$506$	22.0692	−	38.2250i	0.981095	−	1.69931i
$507$	−18.3148	+	13.0985i	−0.813387	+	0.581723i
$508$	−2.43730	−	4.22153i	−0.108138	−	0.187300i
$509$	−21.8123	+	5.84459i	−0.966814	+	0.259057i	−0.707482	−	0.706731i	$-0.750169\pi$
$509$	−21.8123	+	5.84459i	−0.966814	+	0.259057i	−0.259332	+	0.965788i	$0.583502\pi$
$510$	−15.2790	+	8.38613i	−0.676565	+	0.371344i
$511$	−11.0376	−	6.07118i	−0.488276	−	0.268573i
$512$	17.9163	+	17.9163i	0.791798	+	0.791798i
$513$	1.29890	+	6.51050i	0.0573478	+	0.287446i
$514$	−0.919988	+	3.43344i	−0.0405789	+	0.151443i
$515$	1.16288	+	0.311592i	0.0512425	+	0.0137304i
$516$	−1.48852	−	0.0321951i	−0.0655285	−	0.00141731i
$517$		−	5.77320i		−	0.253905i
$518$	3.76439	+	12.9678i	0.165398	+	0.569774i
$519$	−2.32237	−	4.23121i	−0.101941	−	0.185729i
$520$	22.3648	−	25.1949i	0.980760	−	1.10487i
$521$	24.6275	−	14.2187i	1.07895	−	0.622932i	0.148338	−	0.988937i	$-0.452608\pi$
$521$	24.6275	−	14.2187i	1.07895	−	0.622932i	0.930613	+	0.366004i	$0.119274\pi$
$522$	−20.5570	+	18.8515i	−0.899756	+	0.825107i
$523$	−14.1297	+	24.4734i	−0.617850	+	1.07015i	0.372028	+	0.928222i	$0.378663\pi$
$523$	−14.1297	+	24.4734i	−0.617850	+	1.07015i	−0.989877	+	0.141925i	$0.954671\pi$
$524$	−4.87255			−0.212858
$525$	−21.3211	−	5.73361i	−0.930529	−	0.250235i
$526$	5.29313	−	5.29313i	0.230791	−	0.230791i
$527$	−3.58891	−	13.3940i	−0.156335	−	0.583452i
$528$	−8.07380	−	32.9676i	−0.351367	−	1.43473i
$529$	−5.44675	−	9.43405i	−0.236815	−	0.410176i
$530$	4.39333	−	7.60948i	0.190834	−	0.330535i
$531$	3.95474	+	17.8065i	0.171621	+	0.772735i
$532$	0.757293	−	0.458404i	0.0328328	−	0.0198743i
$533$	10.2284	+	15.5090i	0.443043	+	0.671771i
$534$	5.47632	+	0.118447i	0.236984	+	0.00512569i
$535$	10.0510	+	2.69317i	0.434544	+	0.116436i
$536$	−30.3395	+	17.5165i	−1.31046	+	0.756597i
$537$	32.8401	+	0.710294i	1.41715	+	0.0306514i
$538$	−4.81862	+	4.81862i	−0.207745	+	0.207745i
$539$	−29.6193	−	27.2605i	−1.27579	−	1.17419i
$540$	−3.20403	+	2.81311i	−0.137880	+	0.121057i
$541$	10.8887	−	2.91762i	0.468142	−	0.125438i	−0.0170339	−	0.999855i	$-0.505422\pi$
$541$	10.8887	−	2.91762i	0.468142	−	0.125438i	0.485176	+	0.874417i	$0.338756\pi$
$542$	11.9654	−	6.90822i	0.513957	−	0.296733i
$543$	36.9899	+	22.4363i	1.58739	+	0.962835i
$544$	3.46216	−	0.927683i	0.148439	−	0.0397741i
$545$	6.53085			0.279751
$546$	16.2777	+	14.4756i	0.696623	+	0.619498i
$547$	−16.6244			−0.710807			−0.355404	−	0.934713i	$-0.615657\pi$
$547$	−16.6244			−0.710807			−0.355404	+	0.934713i	$0.615657\pi$
$548$	−1.90446	+	0.510299i	−0.0813546	+	0.0217989i
$549$	−5.30443	−	0.229565i	−0.226387	−	0.00979760i
$550$	31.6337	−	18.2637i	1.34887	−	0.778769i
$551$	8.70305	−	2.33198i	0.370762	−	0.0993455i
$552$	−28.8700	−	8.40884i	−1.22879	−	0.357904i
$553$	−7.31328	−	7.01629i	−0.310992	−	0.298363i
$554$	−12.9852	+	12.9852i	−0.551690	+	0.551690i
$555$	−0.454307	+	21.0046i	−0.0192843	+	0.891597i
$556$	2.44974	−	1.41436i	0.103892	−	0.0599821i
$557$	3.43301	+	0.919872i	0.145461	+	0.0389762i	0.330815	−	0.943696i	$-0.392676\pi$
$557$	3.43301	+	0.919872i	0.145461	+	0.0389762i	−0.185354	+	0.982672i	$0.559343\pi$
$558$	10.4037	+	19.9667i	0.440424	+	0.845257i
$559$	−2.37867	+	11.5935i	−0.100607	+	0.490355i
$560$	−24.7525	−	13.6150i	−1.04599	−	0.575337i
$561$	−23.2949	−	6.78502i	−0.983512	−	0.286464i
$562$	−19.5652	+	33.8879i	−0.825307	+	1.42947i
$563$	11.5278	+	19.9667i	0.485838	+	0.841496i	0.999868	−	0.0162762i	$-0.00518109\pi$
$563$	11.5278	+	19.9667i	0.485838	+	0.841496i	−0.514029	+	0.857773i	$0.671848\pi$
$564$	−0.442292	+	0.108318i	−0.0186238	+	0.00456100i
$565$	−5.38797	−	20.1082i	−0.226673	−	0.845957i
$566$	−10.0789	+	10.0789i	−0.423647	+	0.423647i
$567$	−15.6943	−	17.9078i	−0.659098	−	0.752057i
$568$	12.6768			0.531908
$569$	−5.98244	+	10.3619i	−0.250797	+	0.434393i	−0.963745	−	0.266823i	$-0.914026\pi$
$569$	−5.98244	+	10.3619i	−0.250797	+	0.434393i	0.712948	+	0.701216i	$0.247359\pi$
$570$	−8.87914	+	2.17451i	−0.371906	+	0.0910802i
$571$	−19.9296	+	11.5064i	−0.834029	+	0.481527i	−0.855230	−	0.518249i	$-0.826584\pi$
$571$	−19.9296	+	11.5064i	−0.834029	+	0.481527i	0.0212015	+	0.999775i	$0.493251\pi$
$572$	5.42026	−	0.322539i	0.226632	−	0.0134860i
$573$	4.96670	−	2.72606i	0.207487	−	0.113883i
$574$	12.4428	−	12.9695i	0.519353	−	0.541336i
$575$		−	28.0492i		−	1.16973i
$576$	−23.2933	+	12.1371i	−0.970555	+	0.505710i
$577$	37.4825	+	10.0434i	1.56042	+	0.418113i	0.932796	−	0.360405i	$-0.117362\pi$
$577$	37.4825	+	10.0434i	1.56042	+	0.418113i	0.627622	+	0.778518i	$0.284028\pi$
$578$	3.77604	−	14.0924i	0.157063	−	0.586166i
$579$	−1.61354	−	1.68488i	−0.0670563	−	0.0700211i
$580$	4.09178	+	4.09178i	0.169902	+	0.169902i
$581$	−24.3297	+	14.7272i	−1.00937	+	0.610989i
$582$	−14.0157	−	25.5357i	−0.580971	−	1.05849i
$583$	11.8151	−	3.16583i	0.489329	−	0.131115i
$584$	−7.09910	−	12.2960i	−0.293763	−	0.508812i
$585$	17.4191	+	29.0736i	0.720189	+	1.20205i
$586$	15.1844	−	26.3002i	0.627263	−	1.08645i
$587$	−24.9628	−	24.9628i	−1.03032	−	1.03032i	−0.999526	−	0.0307993i	$-0.990195\pi$
$587$	−24.9628	−	24.9628i	−1.03032	−	1.03032i	−0.0307993	−	0.999526i	$-0.509805\pi$
$588$	−1.53274	+	2.78063i	−0.0632091	+	0.114671i
$589$		−	7.27294i		−	0.299676i
$590$	−24.2609	+	6.50068i	−0.998804	+	0.267629i
$591$	−29.8024	+	7.29863i	−1.22591	+	0.300225i
$592$	−3.41428	+	12.7423i	−0.140326	+	0.523704i
$593$	0.550271	+	2.05364i	0.0225969	+	0.0843329i	0.976303	−	0.216406i	$-0.0694334\pi$
$593$	0.550271	+	2.05364i	0.0225969	+	0.0843329i	−0.953707	+	0.300739i	$0.902767\pi$
$594$	39.3120	+	2.55401i	1.61299	+	0.104792i
$595$	−17.2756	+	10.4572i	−0.708231	+	0.428705i
$596$	2.24922	−	2.24922i	0.0921315	−	0.0921315i
$597$	0.448697	−	20.7453i	0.0183640	−	0.849048i
$598$	−12.3889	+	24.7459i	−0.506619	+	1.01193i
$599$	−38.5567	+	22.2607i	−1.57538	+	0.909547i	−0.579891	+	0.814694i	$0.696905\pi$
$599$	−38.5567	+	22.2607i	−1.57538	+	0.909547i	−0.995491	+	0.0948531i	$0.969762\pi$
$600$	−17.2115	−	17.9725i	−0.702656	−	0.733723i
$601$	7.08515			0.289009			0.144505	−	0.989504i	$-0.453841\pi$
$601$	7.08515			0.289009			0.144505	+	0.989504i	$0.453841\pi$
$602$	11.4471	−	0.237246i	0.466548	−	0.00966942i
$603$	−7.64142	−	34.4060i	−0.311183	−	1.40112i
$604$	0.286859	+	1.07057i	0.0116721	+	0.0435610i
$605$	66.7973	+	17.8983i	2.71570	+	0.727669i
$606$	0.899740	−	0.220347i	0.0365495	−	0.00895100i
$607$	8.98656	−	15.5652i	0.364753	−	0.631771i	−0.623983	−	0.781438i	$-0.714487\pi$
$607$	8.98656	−	15.5652i	0.364753	−	0.631771i	0.988737	+	0.149667i	$0.0478200\pi$
$608$	1.87995			0.0762422
$609$	−22.8721	+	22.8308i	−0.926825	+	0.925152i
$610$		−	7.31095i		−	0.296012i
$611$	0.215013	+	3.61329i	0.00869849	+	0.146178i
$612$	−0.0827455	+	1.91195i	−0.00334479	+	0.0772861i
$613$	−11.5752	−	3.10158i	−0.467520	−	0.125272i	0.0173657	−	0.999849i	$-0.494472\pi$
$613$	−11.5752	−	3.10158i	−0.467520	−	0.125272i	−0.484885	+	0.874578i	$0.661139\pi$
$614$	2.97392	+	1.71699i	0.120018	+	0.0692922i
$615$	24.5145	−	13.4552i	0.988519	−	0.542566i
$616$	−12.6484	−	43.5721i	−0.509618	−	1.75557i
$617$	3.48852	+	3.48852i	0.140443	+	0.140443i	0.773833	−	0.633390i	$-0.218337\pi$
$617$	3.48852	+	3.48852i	0.140443	+	0.140443i	−0.633390	+	0.773833i	$0.718337\pi$
$618$	−0.633662	+	0.606831i	−0.0254896	+	0.0244103i
$619$	3.14825	−	11.7494i	0.126539	−	0.472250i	−0.873351	−	0.487092i	$-0.838058\pi$
$619$	3.14825	−	11.7494i	0.126539	−	0.472250i	0.999890	+	0.0148416i	$0.00472439\pi$
$620$	4.04520	−	2.33550i	0.162459	−	0.0937959i
$621$	16.7921	−	25.1624i	0.673846	−	1.00973i
$622$	−15.6554	−	15.6554i	−0.627726	−	0.627726i
$623$	6.34520	−	0.131507i	0.254215	−	0.00526873i
$624$	6.28099	+	20.3328i	0.251441	+	0.813965i
$625$	−12.9386	+	22.4103i	−0.517543	+	0.896411i
$626$	1.08723	−	4.05761i	0.0434546	−	0.162175i
$627$	−10.8807	−	6.59975i	−0.434535	−	0.263569i
$628$	4.60888	+	2.66094i	0.183914	+	0.106183i
$629$	6.66800	+	6.66800i	0.265871	+	0.265871i
$630$	23.7013	−	22.6568i	0.944283	−	0.902667i
$631$	18.1961	+	18.1961i	0.724374	+	0.724374i	0.969493	−	0.245119i	$-0.0788270\pi$
$631$	18.1961	+	18.1961i	0.724374	+	0.724374i	−0.245119	+	0.969493i	$0.578827\pi$
$632$	−2.95643	−	11.0336i	−0.117601	−	0.438891i
$633$	5.86897	−	9.67593i	0.233271	−	0.384584i
$634$	−19.8491	+	11.4599i	−0.788307	+	0.455129i
$635$	15.0955	+	56.3373i	0.599048	+	2.23568i
$636$	−0.464214	−	0.845767i	−0.0184073	−	0.0335369i
$637$	19.5532	+	15.9585i	0.774724	+	0.632299i
$638$		−	53.4660i		−	2.11674i
$639$	−3.83035	+	12.1645i	−0.151526	+	0.481221i
$640$	−13.4732	−	23.3363i	−0.532576	−	0.922448i
$641$	−5.90485	−	10.2275i	−0.233228	−	0.403962i	0.725528	−	0.688192i	$-0.241595\pi$
$641$	−5.90485	−	10.2275i	−0.233228	−	0.403962i	−0.958756	+	0.284230i	$0.908262\pi$
$642$	−5.47690	+	5.24499i	−0.216156	+	0.207003i
$643$	−2.95818	+	2.95818i	−0.116659	+	0.116659i	−0.763026	−	0.646367i	$-0.776287\pi$
$643$	−2.95818	+	2.95818i	−0.116659	+	0.116659i	0.646367	+	0.763026i	$0.276287\pi$
$644$	−3.91706	−	0.963043i	−0.154354	−	0.0379492i
$645$	17.1036	+	4.98169i	0.673453	+	0.196154i
$646$	−2.05155	+	3.55339i	−0.0807173	+	0.139806i
$647$	−16.1554	−	27.9819i	−0.635133	−	1.10008i	−0.986487	−	0.163840i	$-0.947612\pi$
$647$	−16.1554	−	27.9819i	−0.635133	−	1.10008i	0.351353	−	0.936243i	$-0.385722\pi$
$648$	−4.68059	−	26.4268i	−0.183871	−	1.03814i
$649$	−30.2803	−	17.4824i	−1.18861	−	0.686243i
$650$	−19.1185	+	12.6089i	−0.749889	+	0.494563i
$651$	13.0227	+	22.6031i	0.510400	+	0.885886i
$652$	4.38205	−	4.38205i	0.171614	−	0.171614i
$653$	1.07491	+	0.620598i	0.0420644	+	0.0242859i	0.520885	−	0.853627i	$-0.325602\pi$
$653$	1.07491	+	0.620598i	0.0420644	+	0.0242859i	−0.478820	+	0.877913i	$0.658935\pi$
$654$	−2.46832	+	4.06941i	−0.0965188	+	0.159127i
$655$	56.3135	+	15.0892i	2.20035	+	0.589582i
$656$	16.9603	−	4.54450i	0.662189	−	0.177433i
$657$	13.9441	−	3.09692i	0.544010	−	0.120822i
$658$	3.36295	−	0.976219i	0.131101	−	0.0380570i
$659$			15.0300i			0.585485i	0.956191	+	0.292742i	$0.0945678\pi$
$659$			15.0300i			0.585485i	−0.956191	+	0.292742i	$0.905432\pi$
$660$	0.176734	−	8.17119i	0.00687935	−	0.318063i
$661$	−1.49527	+	5.58044i	−0.0581595	+	0.217054i	−0.988889	−	0.148653i	$-0.952506\pi$
$661$	−1.49527	+	5.58044i	−0.0581595	+	0.217054i	0.930730	+	0.365707i	$0.119173\pi$
$662$	20.4678	+	35.4512i	0.795502	+	1.37785i
$663$	14.8324	+	3.37898i	0.576041	+	0.131229i
$664$	−32.0544			−1.24395
$665$	−10.1718	+	2.95275i	−0.394447	+	0.114503i
$666$	−12.9164	−	8.22173i	−0.500501	−	0.318586i
$667$	−35.5556	−	20.5281i	−1.37672	−	0.794850i
$668$	−0.847602	+	3.16329i	−0.0327947	+	0.122391i
$669$	−10.8515	−	44.3096i	−0.419542	−	1.71311i
$670$	46.8773	−	12.5607i	1.81103	−	0.485263i
$671$	7.19659	−	7.19659i	0.277821	−	0.277821i
$672$	−5.84259	+	3.36619i	−0.225383	+	0.129854i
$673$			44.1990i			1.70375i	0.523748	+	0.851873i	$0.324533\pi$
$673$			44.1990i			1.70375i	−0.523748	+	0.851873i	$0.675467\pi$
$674$	−2.98909	−	11.1554i	−0.115135	−	0.429691i
$675$	22.4466	−	11.0855i	0.863972	−	0.426680i
$676$	−3.38038	+	0.403736i	−0.130015	+	0.0155283i
$677$	−5.96163	−	3.44195i	−0.229124	−	0.132285i	0.381044	−	0.924557i	$-0.375565\pi$
$677$	−5.96163	−	3.44195i	−0.229124	−	0.132285i	−0.610168	+	0.792272i	$0.708898\pi$
$678$	14.5659	+	4.24255i	0.559400	+	0.162934i
$679$	−17.4772	−	28.8727i	−0.670713	−	1.10803i
$680$	−22.7606			−0.872830
$681$	−13.9920	−	14.6107i	−0.536176	−	0.559882i
$682$	−41.6873	−	11.1701i	−1.59629	−	0.427725i
$683$	−40.6111	−	10.8817i	−1.55394	−	0.416377i	−0.623201	−	0.782062i	$-0.714168\pi$
$683$	−40.6111	−	10.8817i	−1.55394	−	0.416377i	−0.930739	+	0.365685i	$0.880835\pi$
$684$	−0.301469	+	0.957412i	−0.0115269	+	0.0366076i
$685$	23.5907			0.901354
$686$	10.8711	−	21.8631i	0.415059	−	0.834738i
$687$	−3.58281	+	12.3008i	−0.136693	+	0.469305i
$688$	9.68693	+	5.59275i	0.369311	+	0.213222i
$689$	−7.27681	+	2.42144i	−0.277224	+	0.0922495i
$690$	35.6157	+	21.6028i	1.35587	+	0.822405i
$691$	8.94527	+	33.3842i	0.340294	+	1.26999i	0.898015	+	0.439966i	$0.145009\pi$
$691$	8.94527	+	33.3842i	0.340294	+	1.26999i	−0.557721	+	0.830029i	$0.688324\pi$
$692$		−	0.729764i		−	0.0277415i
$693$	45.6329	+	1.02822i	1.73345	+	0.0390587i
$694$	−8.57706	+	8.57706i	−0.325581	+	0.325581i
$695$	−32.6923	+	8.75987i	−1.24009	+	0.332281i
$696$	−35.3787	+	8.66427i	−1.34102	+	0.328418i
$697$	3.24858	−	12.1239i	0.123049	−	0.459225i
$698$	−2.15607	−	1.24481i	−0.0816085	−	0.0471167i
$699$	8.49674	+	15.4805i	0.321376	+	0.585526i
$700$	−2.40885	−	2.31102i	−0.0910458	−	0.0873485i
$701$	30.3972			1.14809			0.574043	−	0.818825i	$-0.305374\pi$
$701$	30.3972			1.14809			0.574043	+	0.818825i	$0.305374\pi$
$702$	−24.6995	−	0.134379i	−0.932221	−	0.00507179i
$703$	2.47300	+	4.28336i	0.0932709	+	0.161550i
$704$	13.0311	−	48.6328i	0.491129	−	1.83292i
$705$	5.44713	+	0.117815i	0.205151	+	0.00443718i
$706$			22.8464i			0.859836i
$707$	1.03073	−	0.299208i	0.0387646	−	0.0112529i
$708$	−0.771220	+	2.64782i	−0.0289842	+	0.0995112i
$709$	8.63339	−	2.31331i	0.324234	−	0.0868781i	−0.0930309	−	0.995663i	$-0.529656\pi$
$709$	8.63339	−	2.31331i	0.324234	−	0.0868781i	0.417265	+	0.908785i	$0.362989\pi$
$710$	−16.9627	−	4.54515i	−0.636600	−	0.170577i
$711$	11.4809	+	0.496872i	0.430569	+	0.0186342i
$712$	6.19484	+	3.57659i	0.232161	+	0.134038i
$713$	−23.4339	+	23.4339i	−0.877608	+	0.877608i
$714$	0.0132894	−	14.7168i	0.000497342	−	0.550764i
$715$	−63.6424	−	13.0576i	−2.38009	−	0.488327i
$716$	4.30104	+	2.48321i	0.160737	+	0.0928017i
$717$	26.6569	−	6.52831i	0.995522	−	0.243804i
$718$	9.70052	+	16.8018i	0.362020	+	0.627038i
$719$	3.65057	−	6.32298i	0.136143	−	0.235807i	−0.789890	−	0.613248i	$-0.789863\pi$
$719$	3.65057	−	6.32298i	0.136143	−	0.235807i	0.926034	+	0.377441i	$0.123196\pi$
$720$	31.2704	−	6.94502i	1.16538	−	0.258825i
$721$	−0.703761	+	0.733550i	−0.0262094	+	0.0273188i
$722$	16.1907	−	16.1907i	0.602556	−	0.602556i
$723$	17.3020	+	18.0670i	0.643470	+	0.671920i
$724$	3.27053	+	5.66473i	0.121548	+	0.210528i
$725$	−16.9884	−	29.4247i	−0.630932	−	1.09281i
$726$	−36.3984	+	34.8573i	−1.35087	+	1.29367i
$727$		−	2.41713i		−	0.0896465i	−0.998995	−	0.0448232i	$-0.985728\pi$
$727$		−	2.41713i		−	0.0896465i	0.998995	−	0.0448232i	$-0.0142725\pi$
$728$	9.53905	+	26.7995i	0.353541	+	0.993256i
$729$	26.7730	+	3.49351i	0.991594	+	0.129389i
$730$	5.09062	+	18.9985i	0.188412	+	0.703164i
$731$	6.92458	−	3.99791i	0.256115	−	0.147868i
$732$	−0.686362	−	0.416316i	−0.0253687	−	0.0153875i
$733$	−10.9491	−	40.8625i	−0.404413	−	1.50929i	−0.805135	−	0.593091i	$-0.797907\pi$
$733$	−10.9491	−	40.8625i	−0.404413	−	1.50929i	0.400722	−	0.916200i	$-0.368759\pi$
$734$	30.0361	+	30.0361i	1.10865	+	1.10865i
$735$	26.3253	−	27.3901i	0.971024	−	1.01030i
$736$	−6.05734	−	6.05734i	−0.223277	−	0.223277i
$737$	58.5082	+	33.7797i	2.15518	+	1.24429i
$738$	−0.881162	+	20.3605i	−0.0324360	+	0.749480i
$739$	−13.2561	+	49.4725i	−0.487634	+	1.81988i	0.0802582	+	0.996774i	$0.474426\pi$
$739$	−13.2561	+	49.4725i	−0.487634	+	1.81988i	−0.567893	+	0.823103i	$0.692241\pi$
$740$	−1.58827	+	2.75096i	−0.0583859	+	0.101127i
$741$	7.05575	+	3.72537i	0.259200	+	0.136855i
$742$	3.84199	+	6.34706i	0.141044	+	0.233008i
$743$	34.5853	+	34.5853i	1.26881	+	1.26881i	0.946704	+	0.322106i	$0.104391\pi$
$743$	34.5853	+	34.5853i	1.26881	+	1.26881i	0.322106	+	0.946704i	$0.395609\pi$
$744$	−0.635776	+	29.3948i	−0.0233087	+	1.07766i
$745$	−32.9602	+	19.0296i	−1.20757	+	0.697189i
$746$	−10.2704	+	38.3296i	−0.376026	+	1.40335i
$747$	9.68535	−	30.7590i	0.354368	−	1.12541i
$748$	−2.59397	−	2.59397i	−0.0948450	−	0.0948450i
$749$	−6.08278	+	6.34026i	−0.222260	+	0.231668i
$750$	−0.626769	−	1.14193i	−0.0228864	−	0.0416974i
$751$	−7.28016	−	4.20320i	−0.265657	−	0.153377i	0.361255	−	0.932467i	$-0.382348\pi$
$751$	−7.28016	−	4.20320i	−0.265657	−	0.153377i	−0.626912	+	0.779090i	$0.715682\pi$
$752$	3.30445	+	0.885425i	0.120501	+	0.0322881i
$753$	1.94072	−	3.19958i	0.0707236	−	0.116599i
$754$	1.99125	+	33.4629i	0.0725170	+	1.21865i
$755$		−	13.2613i		−	0.482627i
$756$	−0.777399	−	3.51528i	−0.0282737	−	0.127850i
$757$	4.28820			0.155857			0.0779286	−	0.996959i	$-0.475169\pi$
$757$	4.28820			0.155857			0.0779286	+	0.996959i	$0.475169\pi$
$758$	14.4702	−	25.0631i	0.525582	−	0.910334i
$759$	13.7937	+	56.3234i	0.500678	+	2.04441i
$760$	−11.5311	−	3.08975i	−0.418277	−	0.112077i
$761$	0.829686	+	3.09643i	0.0300761	+	0.112246i	0.979332	−	0.202259i	$-0.0648283\pi$
$761$	0.829686	+	3.09643i	0.0300761	+	0.112246i	−0.949256	+	0.314505i	$0.898162\pi$
$762$	−40.8094	−	11.8864i	−1.47837	−	0.430599i
$763$	−2.65771	+	4.83183i	−0.0962157	+	0.174924i
$764$	0.856617			0.0309913
$765$	6.87719	−	21.8408i	0.248645	−	0.789655i
$766$	14.2134	−	8.20610i	0.513550	−	0.296498i
$767$	19.6027	+	9.81400i	0.707814	+	0.354363i
$768$	−10.6887	−	0.231186i	−0.385697	−	0.00834219i
$769$	21.9910	−	21.9910i	0.793015	−	0.793015i	−0.188968	−	0.981983i	$-0.560514\pi$
$769$	21.9910	−	21.9910i	0.793015	−	0.793015i	0.981983	+	0.188968i	$0.0605143\pi$
$770$	1.30235	+	62.8383i	0.0469335	+	2.26453i
$771$	−2.24694	−	4.09378i	−0.0809217	−	0.147434i
$772$	−0.0912903	−	0.340700i	−0.00328561	−	0.0122621i

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)

\(f(q)\)	\(=\)	\(q+(1.27346 - 0.341222i) q^{2} +(-0.898259 + 1.48092i) q^{3} +(-0.226792 + 0.130939i) q^{4} +(3.02659 - 0.810973i) q^{5} +(-0.638570 + 2.19240i) q^{6} +(-0.631669 + 2.56924i) q^{7} +(-2.10860 + 2.10860i) q^{8} +(-1.38626 - 2.66050i) q^{9} +O(q^{10})\)	\(q+(1.27346 - 0.341222i) q^{2} +(-0.898259 + 1.48092i) q^{3} +(-0.226792 + 0.130939i) q^{4} +(3.02659 - 0.810973i) q^{5} +(-0.638570 + 2.19240i) q^{6} +(-0.631669 + 2.56924i) q^{7} +(-2.10860 + 2.10860i) q^{8} +(-1.38626 - 2.66050i) q^{9} +(3.57751 - 2.06548i) q^{10} +(5.55472 + 1.48838i) q^{11} +(0.00980824 - 0.453479i) q^{12} +(-3.53198 - 0.724662i) q^{13} +(0.0722771 + 3.48735i) q^{14} +(-1.51767 + 5.21061i) q^{15} +(-1.70383 + 2.95113i) q^{16} +(1.21796 + 2.10958i) q^{17} +(-2.67317 - 2.91501i) q^{18} +(0.330677 + 1.23410i) q^{19} +(-0.580220 + 0.580220i) q^{20} +(-3.23744 - 3.24330i) q^{21} +7.58155 q^{22} +(2.91091 - 5.04184i) q^{23} +(-1.22861 - 5.01674i) q^{24} +(4.17246 - 2.40897i) q^{25} +(-4.74509 + 0.282362i) q^{26} +(5.18522 + 0.336872i) q^{27} +(-0.193155 - 0.665394i) q^{28} -7.05212i q^{29} +(-0.154719 + 7.15335i) q^{30} +(-5.49852 - 1.47332i) q^{31} +(0.380834 - 1.42129i) q^{32} +(-7.19375 + 6.88915i) q^{33} +(2.27086 + 2.27086i) q^{34} +(0.171779 + 8.28831i) q^{35} +(0.662756 + 0.421866i) q^{36} +(3.73930 - 1.00194i) q^{37} +(0.842206 + 1.45874i) q^{38} +(4.24580 - 4.57965i) q^{39} +(-4.67186 + 8.09189i) q^{40} +(-3.64350 - 3.64350i) q^{41} +(-5.22942 - 3.02551i) q^{42} -3.28245i q^{43} +(-1.45465 + 0.389773i) q^{44} +(-6.35325 - 6.92804i) q^{45} +(1.98653 - 7.41382i) q^{46} +(-0.259833 - 0.969711i) q^{47} +(-2.83990 - 5.17412i) q^{48} +(-6.20199 - 3.24582i) q^{49} +(4.49145 - 4.49145i) q^{50} +(-4.21817 - 0.0912342i) q^{51} +(0.895912 - 0.298125i) q^{52} +(1.84206 - 1.06352i) q^{53} +(6.71810 - 1.34032i) q^{54} +18.0189 q^{55} +(-4.08556 - 6.74944i) q^{56} +(-2.12465 - 0.618837i) q^{57} +(-2.40634 - 8.98057i) q^{58} +(-5.87294 - 1.57365i) q^{59} +(-0.338073 - 1.38045i) q^{60} +(0.884899 - 1.53269i) q^{61} -7.50485 q^{62} +(7.71113 - 1.88108i) q^{63} -8.75523i q^{64} +(-11.2775 + 0.671083i) q^{65} +(-6.81020 + 11.2277i) q^{66} +(11.3478 + 3.04063i) q^{67} +(-0.552450 - 0.318957i) q^{68} +(4.85182 + 8.83970i) q^{69} +(3.04690 + 10.4962i) q^{70} +(-3.00598 - 3.00598i) q^{71} +(8.53301 + 2.68686i) q^{72} +(-1.23231 + 4.59905i) q^{73} +(4.41994 - 2.55186i) q^{74} +(-0.180449 + 8.34297i) q^{75} +(-0.236587 - 0.236587i) q^{76} +(-7.33275 + 13.3312i) q^{77} +(3.84416 - 7.28074i) q^{78} +(-1.91528 + 3.31736i) q^{79} +(-2.76353 + 10.3136i) q^{80} +(-5.15655 + 7.37631i) q^{81} +(-5.88307 - 3.39659i) q^{82} +(7.60088 + 7.60088i) q^{83} +(1.15890 + 0.311648i) q^{84} +(5.39709 + 5.39709i) q^{85} +(-1.12004 - 4.18006i) q^{86} +(10.4436 + 6.33463i) q^{87} +(-14.8511 + 8.57427i) q^{88} +(-0.620849 - 2.31704i) q^{89} +(-10.4546 - 6.65469i) q^{90} +(4.09287 - 8.61675i) q^{91} +1.52460i q^{92} +(7.12097 - 6.81945i) q^{93} +(-0.661773 - 1.14622i) q^{94} +(2.00165 + 3.46696i) q^{95} +(1.76273 + 1.84067i) q^{96} +(-9.02015 + 9.02015i) q^{97} +(-9.00550 - 2.01716i) q^{98} +(-3.74045 - 16.8416i) 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

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