LMFDB - Embedded newform 273.2.bt.a.271.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [273,2,Mod(136,273)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

chi = DirichletCharacter(H, H._module([0, 2, 5]))

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

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

chi := DirichletCharacter("273.136");

S:= CuspForms(chi, 2);

N := Newforms(S);

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

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.17991597518$
Analytic rank:	$0$
Dimension:	$36$
Relative dimension:	$9$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			271.1
Character	$\chi$	$=$	273.271
Dual form			273.2.bt.a.136.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.79515 - 1.79515i) q^{2} +(0.866025 + 0.500000i) q^{3} +4.44512i q^{4} +(-0.590961 - 2.20549i) q^{5} +(-0.657070 - 2.45222i) q^{6} +(-2.51335 + 0.826467i) q^{7} +(4.38935 - 4.38935i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})$	\(q+(-1.79515 - 1.79515i) q^{2} +(0.866025 + 0.500000i) q^{3} +4.44512i q^{4} +(-0.590961 - 2.20549i) q^{5} +(-0.657070 - 2.45222i) q^{6} +(-2.51335 + 0.826467i) q^{7} +(4.38935 - 4.38935i) q^{8} +(0.500000 + 0.866025i) q^{9} +(-2.89833 + 5.02005i) q^{10} +(-0.449206 - 1.67646i) q^{11} +(-2.22256 + 3.84958i) q^{12} +(-1.05331 - 3.44826i) q^{13} +(5.99548 + 3.02821i) q^{14} +(0.590961 - 2.20549i) q^{15} -6.86883 q^{16} -7.51920 q^{17} +(0.657070 - 2.45222i) q^{18} +(-5.80433 - 1.55527i) q^{19} +(9.80368 - 2.62689i) q^{20} +(-2.58986 - 0.540936i) q^{21} +(-2.20310 + 3.81588i) q^{22} -0.0216755i q^{23} +(5.99596 - 1.60661i) q^{24} +(-0.184846 + 0.106721i) q^{25} +(-4.29929 + 8.08100i) q^{26} +1.00000i q^{27} +(-3.67374 - 11.1722i) q^{28} +(0.432921 + 0.749842i) q^{29} +(-5.02005 + 2.89833i) q^{30} +(5.81230 + 1.55740i) q^{31} +(3.55188 + 3.55188i) q^{32} +(0.449206 - 1.67646i) q^{33} +(13.4981 + 13.4981i) q^{34} +(3.30806 + 5.05478i) q^{35} +(-3.84958 + 2.22256i) q^{36} +(-6.64042 + 6.64042i) q^{37} +(7.62770 + 13.2116i) q^{38} +(0.811936 - 3.51294i) q^{39} +(-12.2746 - 7.08675i) q^{40} +(-2.45125 - 0.656811i) q^{41} +(3.67813 + 5.62025i) q^{42} +(1.71095 + 0.987815i) q^{43} +(7.45205 - 1.99677i) q^{44} +(1.61453 - 1.61453i) q^{45} +(-0.0389108 + 0.0389108i) q^{46} +(5.62025 - 1.50594i) q^{47} +(-5.94858 - 3.43442i) q^{48} +(5.63390 - 4.15441i) q^{49} +(0.523405 + 0.140246i) q^{50} +(-6.51182 - 3.75960i) q^{51} +(15.3279 - 4.68210i) q^{52} +(-6.87167 - 11.9021i) q^{53} +(1.79515 - 1.79515i) q^{54} +(-3.43196 + 1.98144i) q^{55} +(-7.40434 + 14.6596i) q^{56} +(-4.24907 - 4.24907i) q^{57} +(0.568919 - 2.12324i) q^{58} +(-4.10621 - 4.10621i) q^{59} +(9.80368 + 2.62689i) q^{60} +(3.12149 - 1.80219i) q^{61} +(-7.63818 - 13.2297i) q^{62} +(-1.97242 - 1.76340i) q^{63} +0.985368i q^{64} +(-6.98266 + 4.36087i) q^{65} +(-3.81588 + 2.20310i) q^{66} +(1.08555 - 0.290873i) q^{67} -33.4237i q^{68} +(0.0108378 - 0.0187715i) q^{69} +(3.13562 - 15.0125i) q^{70} +(12.5434 - 3.36098i) q^{71} +(5.99596 + 1.60661i) q^{72} +(2.56726 - 9.58115i) q^{73} +23.8411 q^{74} -0.213441 q^{75} +(6.91334 - 25.8009i) q^{76} +(2.51455 + 3.84228i) q^{77} +(-7.76380 + 4.84871i) q^{78} +(2.16727 - 3.75382i) q^{79} +(4.05921 + 15.1492i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(3.22129 + 5.57944i) q^{82} +(-8.64819 + 8.64819i) q^{83} +(2.40452 - 11.5122i) q^{84} +(4.44355 + 16.5836i) q^{85} +(-1.29813 - 4.84468i) q^{86} +0.865843i q^{87} +(-9.33028 - 5.38684i) q^{88} +(1.71535 + 1.71535i) q^{89} -5.79666 q^{90} +(5.49723 + 7.79618i) q^{91} +0.0963502 q^{92} +(4.25490 + 4.25490i) q^{93} +(-12.7926 - 7.38580i) q^{94} +13.7205i q^{95} +(1.30008 + 4.85196i) q^{96} +(-1.99188 - 7.43379i) q^{97} +(-17.5715 - 2.65591i) q^{98} +(1.22725 - 1.22725i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 36 q + 6 q^{7} + 18 q^{9}+O(q^{10}) $ 36 * q + 6 * q^7 + 18 * q^9	$ 36 q + 6 q^{7} + 18 q^{9} - 8 q^{11} - 16 q^{12} + 42 q^{14} - 24 q^{16} - 8 q^{17} - 18 q^{19} + 14 q^{20} - 4 q^{21} + 4 q^{22} + 18 q^{24} + 24 q^{25} - 50 q^{26} + 34 q^{28} + 8 q^{29} + 6 q^{31} - 50 q^{32} + 8 q^{33} - 24 q^{34} + 14 q^{35} - 14 q^{37} - 8 q^{38} - 2 q^{39} - 30 q^{40} + 34 q^{41} - 18 q^{42} + 30 q^{43} + 28 q^{44} - 32 q^{46} - 10 q^{47} + 24 q^{48} + 6 q^{49} - 20 q^{50} - 24 q^{51} + 4 q^{52} - 8 q^{53} - 30 q^{55} - 92 q^{56} - 24 q^{57} + 72 q^{58} - 70 q^{59} + 14 q^{60} - 60 q^{61} - 48 q^{62} + 6 q^{63} - 44 q^{65} + 18 q^{66} - 46 q^{67} + 4 q^{69} + 80 q^{70} + 42 q^{71} + 18 q^{72} - 56 q^{73} + 40 q^{74} - 20 q^{75} + 12 q^{76} + 24 q^{77} - 16 q^{78} + 170 q^{80} - 18 q^{81} + 24 q^{82} - 60 q^{83} + 2 q^{85} + 12 q^{86} + 84 q^{88} + 64 q^{89} - 86 q^{91} - 100 q^{92} + 12 q^{93} - 66 q^{94} + 46 q^{96} + 36 q^{97} - 22 q^{98} - 4 q^{99}+O(q^{100}) $ 36 * q + 6 * q^7 + 18 * q^9 - 8 * q^11 - 16 * q^12 + 42 * q^14 - 24 * q^16 - 8 * q^17 - 18 * q^19 + 14 * q^20 - 4 * q^21 + 4 * q^22 + 18 * q^24 + 24 * q^25 - 50 * q^26 + 34 * q^28 + 8 * q^29 + 6 * q^31 - 50 * q^32 + 8 * q^33 - 24 * q^34 + 14 * q^35 - 14 * q^37 - 8 * q^38 - 2 * q^39 - 30 * q^40 + 34 * q^41 - 18 * q^42 + 30 * q^43 + 28 * q^44 - 32 * q^46 - 10 * q^47 + 24 * q^48 + 6 * q^49 - 20 * q^50 - 24 * q^51 + 4 * q^52 - 8 * q^53 - 30 * q^55 - 92 * q^56 - 24 * q^57 + 72 * q^58 - 70 * q^59 + 14 * q^60 - 60 * q^61 - 48 * q^62 + 6 * q^63 - 44 * q^65 + 18 * q^66 - 46 * q^67 + 4 * q^69 + 80 * q^70 + 42 * q^71 + 18 * q^72 - 56 * q^73 + 40 * q^74 - 20 * q^75 + 12 * q^76 + 24 * q^77 - 16 * q^78 + 170 * q^80 - 18 * q^81 + 24 * q^82 - 60 * q^83 + 2 * q^85 + 12 * q^86 + 84 * q^88 + 64 * q^89 - 86 * q^91 - 100 * q^92 + 12 * q^93 - 66 * q^94 + 46 * q^96 + 36 * q^97 - 22 * q^98 - 4 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$92$	$106$	$157$
$\chi(n)$	$1$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{5}{6}\right)$

Coefficient data

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

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

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

$2$	−1.79515	−	1.79515i	−1.26936	−	1.26936i	−0.946418	−	0.322944i	$-0.895328\pi$
$2$	−1.79515	−	1.79515i	−1.26936	−	1.26936i	−0.322944	−	0.946418i	$-0.604672\pi$
$3$	0.866025	+	0.500000i	0.500000	+	0.288675i
$3$	0.866025	+	0.500000i	0.500000	+	0.288675i
$4$			4.44512i			2.22256i
$5$	−0.590961	−	2.20549i	−0.264286	−	0.986327i	−0.962686	−	0.270620i	$-0.912771\pi$
$5$	−0.590961	−	2.20549i	−0.264286	−	0.986327i	0.698401	−	0.715707i	$-0.253895\pi$
$6$	−0.657070	−	2.45222i	−0.268248	−	1.00111i
$7$	−2.51335	+	0.826467i	−0.949959	+	0.312375i
$7$	−2.51335	+	0.826467i	−0.949959	+	0.312375i
$8$	4.38935	−	4.38935i	1.55187	−	1.55187i
$9$	0.500000	+	0.866025i	0.166667	+	0.288675i
$10$	−2.89833	+	5.02005i	−0.916532	+	1.58748i
$11$	−0.449206	−	1.67646i	−0.135441	−	0.505471i	−0.999996	−	0.00293308i	$-0.999066\pi$
$11$	−0.449206	−	1.67646i	−0.135441	−	0.505471i	0.864555	−	0.502538i	$-0.167600\pi$
$12$	−2.22256	+	3.84958i	−0.641597	+	1.11128i
$13$	−1.05331	−	3.44826i	−0.292137	−	0.956377i
$13$	−1.05331	−	3.44826i	−0.292137	−	0.956377i
$14$	5.99548	+	3.02821i	1.60236	+	0.809324i
$15$	0.590961	−	2.20549i	0.152585	−	0.569456i
$16$	−6.86883			−1.71721
$17$	−7.51920			−1.82367			−0.911837	−	0.410552i	$-0.865336\pi$
$17$	−7.51920			−1.82367			−0.911837	+	0.410552i	$0.865336\pi$
$18$	0.657070	−	2.45222i	0.154873	−	0.577993i
$19$	−5.80433	−	1.55527i	−1.33161	−	0.356803i	−0.478292	−	0.878201i	$-0.658744\pi$
$19$	−5.80433	−	1.55527i	−1.33161	−	0.356803i	−0.853313	+	0.521399i	$0.825411\pi$
$20$	9.80368	−	2.62689i	2.19217	−	0.587390i
$21$	−2.58986	−	0.540936i	−0.565154	−	0.118042i
$22$	−2.20310	+	3.81588i	−0.469703	+	0.813549i
$23$		−	0.0216755i		−	0.00451966i	−0.999997	−	0.00225983i	$-0.999281\pi$
$23$		−	0.0216755i		−	0.00451966i	0.999997	−	0.00225983i	$-0.000719326\pi$
$24$	5.99596	−	1.60661i	1.22392	−	0.327949i
$25$	−0.184846	+	0.106721i	−0.0369691	+	0.0213441i
$26$	−4.29929	+	8.08100i	−0.843161	+	1.58481i
$27$			1.00000i			0.192450i
$28$	−3.67374	−	11.1722i	−0.694272	−	2.11134i
$29$	0.432921	+	0.749842i	0.0803915	+	0.139242i	0.903418	−	0.428761i	$-0.141050\pi$
$29$	0.432921	+	0.749842i	0.0803915	+	0.139242i	−0.823027	+	0.568003i	$0.807716\pi$
$30$	−5.02005	+	2.89833i	−0.916532	+	0.529160i
$31$	5.81230	+	1.55740i	1.04392	+	0.279718i	0.739737	−	0.672896i	$-0.234950\pi$
$31$	5.81230	+	1.55740i	1.04392	+	0.279718i	0.304183	+	0.952614i	$0.401616\pi$
$32$	3.55188	+	3.55188i	0.627889	+	0.627889i
$33$	0.449206	−	1.67646i	0.0781966	−	0.291834i
$34$	13.4981	+	13.4981i	2.31490	+	2.31490i
$35$	3.30806	+	5.05478i	0.559165	+	0.854414i
$36$	−3.84958	+	2.22256i	−0.641597	+	0.370426i
$37$	−6.64042	+	6.64042i	−1.09168	+	1.09168i	−0.0963296	+	0.995349i	$0.530710\pi$
$37$	−6.64042	+	6.64042i	−1.09168	+	1.09168i	−0.995349	+	0.0963296i	$0.969290\pi$
$38$	7.62770	+	13.2116i	1.23738	+	2.14320i
$39$	0.811936	−	3.51294i	0.130014	−	0.562521i
$40$	−12.2746	−	7.08675i	−1.94079	−	1.12051i
$41$	−2.45125	−	0.656811i	−0.382822	−	0.102577i	0.0622757	−	0.998059i	$-0.480164\pi$
$41$	−2.45125	−	0.656811i	−0.382822	−	0.102577i	−0.445097	+	0.895482i	$0.646831\pi$
$42$	3.67813	+	5.62025i	0.567547	+	0.867223i
$43$	1.71095	+	0.987815i	0.260917	+	0.150640i	0.624753	−	0.780823i	$-0.285200\pi$
$43$	1.71095	+	0.987815i	0.260917	+	0.150640i	−0.363836	+	0.931463i	$0.618533\pi$
$44$	7.45205	−	1.99677i	1.12344	−	0.301025i
$45$	1.61453	−	1.61453i	0.240681	−	0.240681i
$46$	−0.0389108	+	0.0389108i	−0.00573708	+	0.00573708i
$47$	5.62025	−	1.50594i	0.819798	−	0.219664i	0.175540	−	0.984472i	$-0.443833\pi$
$47$	5.62025	−	1.50594i	0.819798	−	0.219664i	0.644258	+	0.764808i	$0.277166\pi$
$48$	−5.94858	−	3.43442i	−0.858604	−	0.495715i
$49$	5.63390	−	4.15441i	0.804843	−	0.593487i
$50$	0.523405	+	0.140246i	0.0740206	+	0.0198338i
$51$	−6.51182	−	3.75960i	−0.911837	−	0.526449i
$52$	15.3279	−	4.68210i	2.12560	−	0.649291i
$53$	−6.87167	−	11.9021i	−0.943897	−	1.63488i	−0.757945	−	0.652319i	$-0.773796\pi$
$53$	−6.87167	−	11.9021i	−0.943897	−	1.63488i	−0.185952	−	0.982559i	$-0.559537\pi$
$54$	1.79515	−	1.79515i	0.244289	−	0.244289i
$55$	−3.43196	+	1.98144i	−0.462765	+	0.267177i
$56$	−7.40434	+	14.6596i	−0.989446	+	1.95898i
$57$	−4.24907	−	4.24907i	−0.562803	−	0.562803i
$58$	0.568919	−	2.12324i	0.0747028	−	0.278795i
$59$	−4.10621	−	4.10621i	−0.534583	−	0.534583i	0.387350	−	0.921933i	$-0.373391\pi$
$59$	−4.10621	−	4.10621i	−0.534583	−	0.534583i	−0.921933	+	0.387350i	$0.873391\pi$
$60$	9.80368	+	2.62689i	1.26565	+	0.339130i
$61$	3.12149	−	1.80219i	0.399666	−	0.230747i	−0.286674	−	0.958028i	$-0.592550\pi$
$61$	3.12149	−	1.80219i	0.399666	−	0.230747i	0.686340	+	0.727281i	$0.259216\pi$
$62$	−7.63818	−	13.2297i	−0.970050	−	1.68018i
$63$	−1.97242	−	1.76340i	−0.248501	−	0.222167i
$64$			0.985368i			0.123171i
$65$	−6.98266	+	4.36087i	−0.866093	+	0.540899i
$66$	−3.81588	+	2.20310i	−0.469703	+	0.271183i
$67$	1.08555	−	0.290873i	0.132621	−	0.0355357i	−0.191898	−	0.981415i	$-0.561464\pi$
$67$	1.08555	−	0.290873i	0.132621	−	0.0355357i	0.324519	+	0.945879i	$0.394798\pi$
$68$		−	33.4237i		−	4.05322i
$69$	0.0108378	−	0.0187715i	0.00130471	−	0.00225983i
$70$	3.13562	−	15.0125i	0.374778	−	1.79434i
$71$	12.5434	−	3.36098i	1.48862	−	0.398875i	0.579350	−	0.815079i	$-0.303306\pi$
$71$	12.5434	−	3.36098i	1.48862	−	0.398875i	0.909272	+	0.416203i	$0.136640\pi$
$72$	5.99596	+	1.60661i	0.706631	+	0.189341i
$73$	2.56726	−	9.58115i	0.300475	−	1.12139i	−0.636296	−	0.771445i	$-0.719534\pi$
$73$	2.56726	−	9.58115i	0.300475	−	1.12139i	0.936771	−	0.349943i	$-0.113799\pi$
$74$	23.8411			2.77147
$75$	−0.213441			−0.0246461
$76$	6.91334	−	25.8009i	0.793014	−	2.95957i
$77$	2.51455	+	3.84228i	0.286560	+	0.437868i
$78$	−7.76380	+	4.84871i	−0.879077	+	0.549008i
$79$	2.16727	−	3.75382i	0.243837	−	0.422338i	−0.717967	−	0.696077i	$-0.754927\pi$
$79$	2.16727	−	3.75382i	0.243837	−	0.422338i	0.961804	+	0.273739i	$0.0882606\pi$
$80$	4.05921	+	15.1492i	0.453833	+	1.69373i
$81$	−0.500000	+	0.866025i	−0.0555556	+	0.0962250i
$82$	3.22129	+	5.57944i	0.355732	+	0.616146i
$83$	−8.64819	+	8.64819i	−0.949263	+	0.949263i	−0.998774	−	0.0495109i	$-0.984234\pi$
$83$	−8.64819	+	8.64819i	−0.949263	+	0.949263i	0.0495109	+	0.998774i	$0.484234\pi$
$84$	2.40452	−	11.5122i	0.262355	−	1.25609i
$85$	4.44355	+	16.5836i	0.481971	+	1.79874i
$86$	−1.29813	−	4.84468i	−0.139981	−	0.522415i
$87$			0.865843i			0.0928281i
$88$	−9.33028	−	5.38684i	−0.994611	−	0.574239i
$89$	1.71535	+	1.71535i	0.181826	+	0.181826i	0.792151	−	0.610325i	$-0.208961\pi$
$89$	1.71535	+	1.71535i	0.181826	+	0.181826i	−0.610325	+	0.792151i	$0.708961\pi$
$90$	−5.79666			−0.611021
$91$	5.49723	+	7.79618i	0.576266	+	0.817262i
$92$	0.0963502			0.0100452
$93$	4.25490	+	4.25490i	0.441213	+	0.441213i
$94$	−12.7926	−	7.38580i	−1.31945	−	0.761787i
$95$			13.7205i			1.40770i
$96$	1.30008	+	4.85196i	0.132689	+	0.495201i
$97$	−1.99188	−	7.43379i	−0.202245	−	0.754787i	−0.990272	−	0.139147i	$-0.955564\pi$
$97$	−1.99188	−	7.43379i	−0.202245	−	0.754787i	0.788027	−	0.615641i	$-0.211103\pi$
$98$	−17.5715	−	2.65591i	−1.77499	−	0.268288i
$99$	1.22725	−	1.22725i	0.123343	−	0.123343i
$100$	−0.474386	−	0.821660i	−0.0474386	−	0.0821660i
$101$	−2.23088	+	3.86399i	−0.221981	+	0.384482i	−0.955409	−	0.295285i	$-0.904586\pi$
$101$	−2.23088	+	3.86399i	−0.221981	+	0.384482i	0.733429	+	0.679766i	$0.237919\pi$
$102$	4.94064	+	18.4387i	0.489196	+	1.82571i
$103$	4.23657	−	7.33795i	0.417441	−	0.723030i	−0.578240	−	0.815867i	$-0.696260\pi$
$103$	4.23657	−	7.33795i	0.417441	−	0.723030i	0.995681	+	0.0928371i	$0.0295936\pi$
$104$	−19.7590	−	10.5123i	−1.93753	−	1.03081i
$105$	0.337475	+	6.03160i	0.0329342	+	0.588624i
$106$	−9.03034	+	33.7017i	−0.877104	+	3.27340i
$107$	10.1376			0.980042			0.490021	−	0.871711i	$-0.336989\pi$
$107$	10.1376			0.980042			0.490021	+	0.871711i	$0.336989\pi$
$108$	−4.44512			−0.427732
$109$	−1.05231	+	3.92728i	−0.100793	+	0.376165i	−0.997834	−	0.0657825i	$-0.979046\pi$
$109$	−1.05231	+	3.92728i	−0.100793	+	0.376165i	0.897041	+	0.441948i	$0.145712\pi$
$110$	9.71785	+	2.60389i	0.926561	+	0.248271i
$111$	−9.07099	+	2.43056i	−0.860980	+	0.230699i
$112$	17.2638	−	5.67686i	1.63128	−	0.536413i
$113$	−2.30418	+	3.99096i	−0.216759	+	0.375438i	−0.953815	−	0.300394i	$-0.902882\pi$
$113$	−2.30418	+	3.99096i	−0.216759	+	0.375438i	0.737056	+	0.675831i	$0.236215\pi$
$114$			15.2554i			1.42880i
$115$	−0.0478052	+	0.0128094i	−0.00445786	+	0.00119448i
$116$	−3.33314	+	1.92439i	−0.309474	+	0.178675i
$117$	2.45963	−	2.63633i	0.227393	−	0.243729i
$118$			14.7425i			1.35716i
$119$	18.8984	−	6.21437i	1.73242	−	0.569671i
$120$	−7.08675	−	12.2746i	−0.646929	−	1.12051i
$121$	6.91755	−	3.99385i	0.628869	−	0.363077i
$122$	−8.83874	−	2.36833i	−0.800222	−	0.214419i
$123$	−1.79444	−	1.79444i	−0.161799	−	0.161799i
$124$	−6.92283	+	25.8364i	−0.621689	+	2.32017i
$125$	−7.72806	−	7.72806i	−0.691219	−	0.691219i
$126$	0.375228	+	6.70634i	0.0334280	+	0.597448i
$127$	2.76191	−	1.59459i	0.245080	−	0.141497i	−0.372430	−	0.928060i	$-0.621475\pi$
$127$	2.76191	−	1.59459i	0.245080	−	0.141497i	0.617509	+	0.786564i	$0.288142\pi$
$128$	8.87264	−	8.87264i	0.784238	−	0.784238i
$129$	0.987815	+	1.71095i	0.0869723	+	0.150640i
$130$	20.3633	+	4.70652i	1.78598	+	0.412789i
$131$	−7.19475	−	4.15389i	−0.628608	−	0.362927i	0.151605	−	0.988441i	$-0.451556\pi$
$131$	−7.19475	−	4.15389i	−0.628608	−	0.362927i	−0.780213	+	0.625514i	$0.784889\pi$
$132$	7.45205	+	1.99677i	0.648618	+	0.173797i
$133$	15.8737	−	0.888154i	1.37643	−	0.0770127i
$134$	−2.47088	−	1.42657i	−0.213452	−	0.123237i
$135$	2.20549	−	0.590961i	0.189819	−	0.0508618i
$136$	−33.0044	+	33.0044i	−2.83010	+	2.83010i
$137$	3.54760	−	3.54760i	0.303092	−	0.303092i	−0.539131	−	0.842222i	$-0.681247\pi$
$137$	3.54760	−	3.54760i	0.303092	−	0.303092i	0.842222	+	0.539131i	$0.181247\pi$
$138$	−0.0531531	+	0.0142423i	−0.00452469	+	0.00121239i
$139$	2.35400	+	1.35908i	0.199663	+	0.115276i	0.596498	−	0.802614i	$-0.296558\pi$
$139$	2.35400	+	1.35908i	0.199663	+	0.115276i	−0.396835	+	0.917890i	$0.629892\pi$
$140$	−22.4691	+	14.7047i	−1.89899	+	1.24278i
$141$	5.62025	+	1.50594i	0.473310	+	0.126823i
$142$	−28.5506	−	16.4837i	−2.39592	−	1.38328i
$143$	−5.30772	+	3.31481i	−0.443854	+	0.277199i
$144$	−3.43442	−	5.94858i	−0.286201	−	0.495715i
$145$	1.39793	−	1.39793i	0.116092	−	0.116092i
$146$	−21.8082	+	12.5910i	−1.80486	+	1.04204i
$147$	6.95631	−	0.780873i	0.573747	−	0.0644053i
$148$	−29.5175	−	29.5175i	−2.42632	−	2.42632i
$149$	−5.83717	+	21.7846i	−0.478200	+	1.78467i	0.130704	+	0.991421i	$0.458276\pi$
$149$	−5.83717	+	21.7846i	−0.478200	+	1.78467i	−0.608904	+	0.793244i	$0.708390\pi$
$150$	0.383159	+	0.383159i	0.0312848	+	0.0312848i
$151$	20.2079	+	5.41469i	1.64450	+	0.440641i	0.958064	−	0.286553i	$-0.0925096\pi$
$151$	20.2079	+	5.41469i	1.64450	+	0.440641i	0.686431	+	0.727195i	$0.259176\pi$
$152$	−32.3038	+	18.6506i	−2.62019	+	1.51277i
$153$	−3.75960	−	6.51182i	−0.303946	−	0.526449i
$154$	2.38347	−	11.4115i	0.192066	−	0.919561i
$155$		−	13.7394i		−	1.10357i
$156$	15.6154	+	3.60915i	1.25024	+	0.288963i
$157$	5.68992	−	3.28508i	0.454105	−	0.262178i	−0.255457	−	0.966820i	$-0.582226\pi$
$157$	5.68992	−	3.28508i	0.454105	−	0.262178i	0.709563	+	0.704643i	$0.248893\pi$
$158$	−10.6292	+	2.84809i	−0.845616	+	0.226582i
$159$		−	13.7433i		−	1.08992i
$160$	5.73463	−	9.93267i	0.453362	−	0.785246i
$161$	0.0179141	+	0.0544782i	0.00141183	+	0.00429349i
$162$	2.45222	−	0.657070i	0.192664	−	0.0516243i
$163$	−23.4341	−	6.27914i	−1.83550	−	0.491820i	−0.837030	−	0.547158i	$-0.815710\pi$
$163$	−23.4341	−	6.27914i	−1.83550	−	0.491820i	−0.998468	+	0.0553377i	$0.982376\pi$
$164$	2.91960	−	10.8961i	0.227983	−	0.850843i
$165$	−3.96288			−0.308510
$166$	31.0496			2.40992
$167$	−1.98472	+	7.40707i	−0.153582	+	0.573176i	0.845641	+	0.533753i	$0.179219\pi$
$167$	−1.98472	+	7.40707i	−0.153582	+	0.573176i	−0.999223	+	0.0394232i	$0.987448\pi$
$168$	−13.7422	+	8.99345i	−1.06023	+	0.693860i
$169$	−10.7811	+	7.26421i	−0.829312	+	0.558785i
$170$	21.7931	−	37.7468i	1.67146	−	2.89505i
$171$	−1.55527	−	5.80433i	−0.118934	−	0.443868i
$172$	−4.39095	+	7.60536i	−0.334807	+	0.579903i
$173$	0.111832	+	0.193699i	0.00850246	+	0.0147267i	0.870245	−	0.492619i	$-0.163960\pi$
$173$	0.111832	+	0.193699i	0.00850246	+	0.0147267i	−0.861743	+	0.507345i	$0.830627\pi$
$174$	1.55432	−	1.55432i	0.117832	−	0.117832i
$175$	0.376381	−	0.420996i	0.0284518	−	0.0318243i
$176$	3.08552	+	11.5153i	0.232580	+	0.867999i
$177$	−1.50298	−	5.60919i	−0.112971	−	0.421612i
$178$		−	6.15860i		−	0.461607i
$179$	−9.40968	−	5.43268i	−0.703312	−	0.406058i	0.105268	−	0.994444i	$-0.466430\pi$
$179$	−9.40968	−	5.43268i	−0.703312	−	0.406058i	−0.808580	+	0.588386i	$0.799763\pi$
$180$	7.17679	+	7.17679i	0.534927	+	0.534927i
$181$	0.436016			0.0324088			0.0162044	−	0.999869i	$-0.494842\pi$
$181$	0.436016			0.0324088			0.0162044	+	0.999869i	$0.494842\pi$
$182$	4.12697	−	23.8637i	0.305911	−	1.76889i
$183$	3.60438			0.266444
$184$	−0.0951414	−	0.0951414i	−0.00701391	−	0.00701391i
$185$	18.5697	+	10.7212i	1.36527	+	0.788238i
$186$		−	15.2764i		−	1.12012i
$187$	3.37767	+	12.6056i	0.246999	+	0.921815i
$188$	6.69409	+	24.9827i	0.488216	+	1.82205i
$189$	−0.826467	−	2.51335i	−0.0601166	−	0.182820i
$190$	24.6304	−	24.6304i	1.78688	−	1.78688i
$191$	4.42223	+	7.65952i	0.319981	+	0.554223i	0.980484	−	0.196600i	$-0.0629901\pi$
$191$	4.42223	+	7.65952i	0.319981	+	0.554223i	−0.660503	+	0.750824i	$0.729657\pi$
$192$	−0.492684	+	0.853354i	−0.0355564	+	0.0615855i
$193$	−2.33215	−	8.70371i	−0.167872	−	0.626507i	−0.997656	−	0.0684229i	$-0.978203\pi$
$193$	−2.33215	−	8.70371i	−0.167872	−	0.626507i	0.829784	−	0.558084i	$-0.188463\pi$
$194$	−9.76905	+	16.9205i	−0.701377	+	1.21482i
$195$	−8.22760	+	0.285288i	−0.589190	+	0.0204299i
$196$	18.4668	+	25.0434i	1.31906	+	1.78881i
$197$	−3.23591	+	12.0766i	−0.230549	+	0.860421i	0.749556	+	0.661941i	$0.230267\pi$
$197$	−3.23591	+	12.0766i	−0.230549	+	0.860421i	−0.980105	+	0.198480i	$0.936400\pi$
$198$	−4.40620			−0.313135
$199$	−8.34509			−0.591568			−0.295784	−	0.955255i	$-0.595581\pi$
$199$	−8.34509			−0.591568			−0.295784	+	0.955255i	$0.595581\pi$
$200$	−0.342918	+	1.27979i	−0.0242479	+	0.0904945i
$201$	1.08555	+	0.290873i	0.0765689	+	0.0205166i
$202$	10.9412	−	2.93169i	0.769820	−	0.206273i
$203$	−1.70781	−	1.52682i	−0.119864	−	0.107162i
$204$	16.7119	−	28.9458i	1.17006	−	2.02661i
$205$			5.79438i			0.404697i
$206$	−20.7780	+	5.56744i	−1.44767	+	0.387902i
$207$	0.0187715	−	0.0108378i	0.00130471	−	0.000753276i
$208$	7.23503	+	23.6856i	0.501659	+	1.64230i
$209$			10.4294i			0.721413i
$210$	10.2218	−	11.4334i	0.705371	−	0.788982i
$211$	−0.0517275	−	0.0895946i	−0.00356106	−	0.00616794i	0.864239	−	0.503081i	$-0.167800\pi$
$211$	−0.0517275	−	0.0895946i	−0.00356106	−	0.00616794i	−0.867800	+	0.496913i	$0.834467\pi$
$212$	52.9062	−	30.5454i	3.63361	−	2.09787i
$213$	12.5434	+	3.36098i	0.859456	+	0.230291i
$214$	−18.1986	−	18.1986i	−1.24403	−	1.24403i
$215$	1.16752	−	4.35724i	0.0796242	−	0.297162i
$216$	4.38935	+	4.38935i	0.298657	+	0.298657i
$217$	−15.8955	+	0.889374i	−1.07906	+	0.0603746i
$218$	8.93911	−	5.16100i	0.605433	−	0.349547i
$219$	7.01388	−	7.01388i	0.473954	−	0.473954i
$220$	−8.80774	−	15.2554i	−0.593817	−	1.02852i
$221$	7.92008	+	25.9282i	0.532762	+	1.74412i
$222$	20.6470	+	11.9205i	1.38574	+	0.800055i
$223$	25.3112	+	6.78211i	1.69496	+	0.454163i	0.971663	−	0.236372i	$-0.0759585\pi$
$223$	25.3112	+	6.78211i	1.69496	+	0.454163i	0.723298	+	0.690536i	$0.242625\pi$
$224$	−11.8626	−	5.99162i	−0.792606	−	0.400332i
$225$	−0.184846	−	0.106721i	−0.0123230	−	0.00711471i
$226$	11.3007	−	3.02802i	0.751712	−	0.201421i
$227$	9.62565	−	9.62565i	0.638877	−	0.638877i	−0.311401	−	0.950278i	$-0.600798\pi$
$227$	9.62565	−	9.62565i	0.638877	−	0.638877i	0.950278	+	0.311401i	$0.100798\pi$
$228$	18.8876	−	18.8876i	1.25086	−	1.25086i
$229$	−23.4824	+	6.29210i	−1.55176	+	0.415794i	−0.930044	−	0.367447i	$-0.880232\pi$
$229$	−23.4824	+	6.29210i	−1.55176	+	0.415794i	−0.621719	+	0.783241i	$0.713565\pi$
$230$	0.108812	+	0.0628227i	0.00717486	+	0.00414241i
$231$	0.256524	+	4.58479i	0.0168781	+	0.301657i
$232$	5.19156	+	1.39107i	0.340843	+	0.0913285i
$233$	−8.29904	−	4.79145i	−0.543688	−	0.313899i	0.202884	−	0.979203i	$-0.434969\pi$
$233$	−8.29904	−	4.79145i	−0.543688	−	0.313899i	−0.746572	+	0.665304i	$0.768302\pi$
$234$	−9.14800	+	0.317203i	−0.598023	+	0.0207362i
$235$	−6.64269	−	11.5055i	−0.433321	−	0.750535i
$236$	18.2526	−	18.2526i	1.18814	−	1.18814i
$237$	3.75382	−	2.16727i	0.243837	−	0.140779i
$238$	−45.0812	−	22.7698i	−2.92218	−	1.47594i
$239$	5.64222	+	5.64222i	0.364965	+	0.364965i	0.865637	−	0.500672i	$-0.166914\pi$
$239$	5.64222	+	5.64222i	0.364965	+	0.364965i	−0.500672	+	0.865637i	$0.666914\pi$
$240$	−4.05921	+	15.1492i	−0.262021	+	0.977875i
$241$	−17.9441	−	17.9441i	−1.15588	−	1.15588i	−0.985353	−	0.170526i	$-0.945453\pi$
$241$	−17.9441	−	17.9441i	−1.15588	−	1.15588i	−0.170526	−	0.985353i	$-0.554547\pi$
$242$	−19.5876	−	5.24848i	−1.25914	−	0.337385i
$243$	−0.866025	+	0.500000i	−0.0555556	+	0.0320750i
$244$	8.01095	+	13.8754i	0.512849	+	0.888280i
$245$	−12.4919	−	9.97045i	−0.798081	−	0.636989i
$246$			6.44258i			0.410764i
$247$	0.750811	+	21.6531i	0.0477729	+	1.37775i
$248$	32.3482	−	18.6762i	2.05411	−	1.18594i
$249$	−11.8137	+	3.16546i	−0.748660	+	0.200603i
$250$			27.7460i			1.75481i
$251$	5.75368	−	9.96567i	0.363169	−	0.629027i	−0.625311	−	0.780375i	$-0.715028\pi$
$251$	5.75368	−	9.96567i	0.363169	−	0.629027i	0.988481	+	0.151348i	$0.0483614\pi$
$252$	7.83850	−	8.76763i	0.493779	−	0.552309i
$253$	−0.0363381	+	0.00973676i	−0.00228456	+	0.000612145i
$254$	−7.82055	−	2.09551i	−0.490705	−	0.131484i
$255$	−4.44355	+	16.5836i	−0.278266	+	1.03850i
$256$	−29.8847			−1.86779
$257$	−27.3825			−1.70807			−0.854036	−	0.520213i	$-0.825852\pi$
$257$	−27.3825			−1.70807			−0.854036	+	0.520213i	$0.825852\pi$
$258$	1.29813	−	4.84468i	0.0808179	−	0.301616i
$259$	11.2017	−	22.1778i	0.696037	−	1.37806i
$260$	−19.3846	−	31.0388i	−1.20218	−	1.92494i
$261$	−0.432921	+	0.749842i	−0.0267972	+	0.0464141i
$262$	5.45879	+	20.3725i	0.337245	+	1.25862i
$263$	10.1358	−	17.5557i	0.624998	−	1.08253i	−0.363544	−	0.931577i	$-0.618433\pi$
$263$	10.1358	−	17.5557i	0.624998	−	1.08253i	0.988541	−	0.150951i	$-0.0482335\pi$
$264$	−5.38684	−	9.33028i	−0.331537	−	0.574239i
$265$	−22.1891	+	22.1891i	−1.36307	+	1.36307i
$266$	−30.0901	−	26.9013i	−1.84494	−	1.64943i
$267$	0.627860	+	2.34321i	0.0384244	+	0.143402i
$268$	1.29296	+	4.82540i	0.0789803	+	0.294758i
$269$		−	1.81548i		−	0.110692i	−0.998467	−	0.0553458i	$-0.982374\pi$
$269$		−	1.81548i		−	0.110692i	0.998467	−	0.0553458i	$-0.0176261\pi$
$270$	−5.02005	−	2.89833i	−0.305511	−	0.176387i
$271$	−15.5693	−	15.5693i	−0.945768	−	0.945768i	0.0528356	−	0.998603i	$-0.483174\pi$
$271$	−15.5693	−	15.5693i	−0.945768	−	0.945768i	−0.998603	+	0.0528356i	$0.983174\pi$
$272$	51.6481			3.13163
$273$	0.862647	+	9.50031i	0.0522097	+	0.574985i
$274$	−12.7369			−0.769466
$275$	0.261946	+	0.261946i	0.0157960	+	0.0157960i
$276$	0.0834417	+	0.0481751i	0.00502260	+	0.00289980i
$277$			20.3006i			1.21975i	0.792499	+	0.609873i	$0.208779\pi$
$277$			20.3006i			1.21975i	−0.792499	+	0.609873i	$0.791221\pi$
$278$	−1.78602	−	6.66553i	−0.107119	−	0.399772i
$279$	1.55740	+	5.81230i	0.0932392	+	0.347974i
$280$	36.7074	+	7.66696i	2.19369	+	0.458188i
$281$	−14.1904	+	14.1904i	−0.846529	+	0.846529i	−0.989698	−	0.143169i	$-0.954271\pi$
$281$	−14.1904	+	14.1904i	−0.846529	+	0.846529i	0.143169	+	0.989698i	$0.454271\pi$
$282$	−7.38580	−	12.7926i	−0.439818	−	0.761787i
$283$	3.40103	−	5.89076i	0.202171	−	0.350170i	−0.747057	−	0.664760i	$-0.768534\pi$
$283$	3.40103	−	5.89076i	0.202171	−	0.350170i	0.949228	+	0.314590i	$0.101867\pi$
$284$	14.9400	+	55.7567i	0.886523	+	3.30855i
$285$	−6.86026	+	11.8823i	−0.406367	+	0.703848i
$286$	15.4787	+	3.57755i	0.915276	+	0.211545i
$287$	6.70370	−	0.375080i	0.395707	−	0.0221403i
$288$	−1.30008	+	4.85196i	−0.0766078	+	0.285904i
$289$	39.5384			2.32579
$290$	−5.01900			−0.294726
$291$	1.99188	−	7.43379i	0.116766	−	0.435777i
$292$	42.5893	+	11.4118i	2.49235	+	0.667823i
$293$	20.5482	−	5.50587i	1.20044	−	0.321656i	0.397435	−	0.917630i	$-0.369901\pi$
$293$	20.5482	−	5.50587i	1.20044	−	0.321656i	0.803004	+	0.595974i	$0.203234\pi$
$294$	−13.8894	−	11.0858i	−0.810046	−	0.646539i
$295$	−6.62962	+	11.4828i	−0.385991	+	0.668557i
$296$			58.2943i			3.38829i
$297$	1.67646	−	0.449206i	0.0972779	−	0.0260655i
$298$	49.5852	−	28.6280i	2.87239	−	1.65838i
$299$	−0.0747429	+	0.0228311i	−0.00432249	+	0.00132036i
$300$		−	0.948771i		−	0.0547773i
$301$	−5.11661	−	1.06869i	−0.294917	−	0.0615982i
$302$	−26.5560	−	45.9964i	−1.52813	−	2.64679i
$303$	−3.86399	+	2.23088i	−0.221981	+	0.128161i
$304$	39.8690	+	10.6829i	2.28664	+	0.612704i
$305$	−5.81940	−	5.81940i	−0.333218	−	0.333218i
$306$	−4.94064	+	18.4387i	−0.282438	+	1.05407i
$307$	−17.4862	−	17.4862i	−0.997992	−	0.997992i	0.00200593	−	0.999998i	$-0.499361\pi$
$307$	−17.4862	−	17.4862i	−0.997992	−	0.997992i	−0.999998	+	0.00200593i	$0.999361\pi$
$308$	−17.0794	+	11.1775i	−0.973188	+	0.636895i
$309$	7.33795	−	4.23657i	0.417441	−	0.241010i
$310$	−24.6642	+	24.6642i	−1.40083	+	1.40083i
$311$	1.90903	+	3.30654i	0.108251	+	0.187497i	0.915062	−	0.403314i	$-0.132142\pi$
$311$	1.90903	+	3.30654i	0.108251	+	0.187497i	−0.806811	+	0.590810i	$0.798808\pi$
$312$	−11.8557	−	18.9834i	−0.671194	−	1.07472i
$313$	−11.1229	−	6.42180i	−0.628702	−	0.362981i	0.151547	−	0.988450i	$-0.451575\pi$
$313$	−11.1229	−	6.42180i	−0.628702	−	0.362981i	−0.780249	+	0.625469i	$0.784908\pi$
$314$	−16.1115	−	4.31705i	−0.909223	−	0.243625i
$315$	−2.72354	+	5.39226i	−0.153454	+	0.303819i
$316$	16.6862	+	9.63376i	0.938670	+	0.541941i
$317$	−9.13383	+	2.44740i	−0.513007	+	0.137460i	−0.506030	−	0.862516i	$-0.668888\pi$
$317$	−9.13383	+	2.44740i	−0.513007	+	0.137460i	−0.00697710	+	0.999976i	$0.502221\pi$
$318$	−24.6714	+	24.6714i	−1.38350	+	1.38350i
$319$	1.06261	−	1.06261i	0.0594946	−	0.0594946i
$320$	2.17322	−	0.582314i	0.121487	−	0.0325523i
$321$	8.77945	+	5.06882i	0.490021	+	0.282914i
$322$	0.0656381	−	0.129955i	0.00365787	−	0.00724211i
$323$	43.6439	+	11.6944i	2.42841	+	0.650692i
$324$	−3.84958	−	2.22256i	−0.213866	−	0.123475i
$325$	0.562701	+	0.524986i	0.0312131	+	0.0291210i
$326$	30.7956	+	53.3396i	1.70561	+	2.95421i
$327$	−2.87497	+	2.87497i	−0.158986	+	0.158986i
$328$	−13.6424	+	7.87643i	−0.753275	+	0.434903i
$329$	−12.8811	+	8.42992i	−0.710157	+	0.464756i
$330$	7.11396	+	7.11396i	0.391611	+	0.391611i
$331$	4.06709	−	15.1786i	0.223547	−	0.834290i	−0.759434	−	0.650585i	$-0.774524\pi$
$331$	4.06709	−	15.1786i	0.223547	−	0.834290i	0.982981	−	0.183706i	$-0.0588094\pi$
$332$	−38.4422	−	38.4422i	−2.10979	−	2.10979i
$333$	−9.07099	−	2.43056i	−0.497087	−	0.133194i
$334$	16.8596	−	9.73392i	0.922519	−	0.532617i
$335$	−1.28304	−	2.22228i	−0.0700997	−	0.121416i
$336$	17.7893	+	3.71560i	0.970488	+	0.202702i
$337$			1.41323i			0.0769835i	0.999259	+	0.0384917i	$0.0122553\pi$
$337$			1.41323i			0.0769835i	−0.999259	+	0.0384917i	$0.987745\pi$
$338$	32.3939	+	6.31328i	1.76200	+	0.343397i
$339$	−3.99096	+	2.30418i	−0.216759	+	0.125146i
$340$	−73.7159	+	19.7521i	−3.99780	+	1.07121i
$341$		−	10.4437i		−	0.565557i
$342$	−7.62770	+	13.2116i	−0.412459	+	0.714400i
$343$	−10.7265	+	15.0977i	−0.579177	+	0.815201i
$344$	11.8458	−	3.17407i	0.638683	−	0.171135i
$345$	−0.0478052	−	0.0128094i	−0.00257375	−	0.000689633i
$346$	0.146963	−	0.548475i	0.00790081	−	0.0294862i
$347$	5.50183			0.295353			0.147677	−	0.989036i	$-0.452820\pi$
$347$	5.50183			0.295353			0.147677	+	0.989036i	$0.452820\pi$
$348$	−3.84877			−0.206316
$349$	3.51381	−	13.1137i	0.188090	−	0.701960i	−0.805858	−	0.592109i	$-0.798296\pi$
$349$	3.51381	−	13.1137i	0.188090	−	0.701960i	0.993948	−	0.109852i	$-0.0350377\pi$
$350$	−1.43141	+	0.0800892i	−0.0765121	+	0.00428095i
$351$	3.44826	−	1.05331i	0.184055	−	0.0562217i
$352$	4.35905	−	7.55010i	0.232338	−	0.402421i
$353$	2.00920	+	7.49845i	0.106939	+	0.399102i	0.998558	−	0.0536846i	$-0.0170966\pi$
$353$	2.00920	+	7.49845i	0.106939	+	0.399102i	−0.891619	+	0.452787i	$0.850430\pi$
$354$	−7.37126	+	12.7674i	−0.391778	+	0.678579i
$355$	−14.8253	−	25.6781i	−0.786843	−	1.36285i
$356$	−7.62491	+	7.62491i	−0.404120	+	0.404120i
$357$	19.4737	+	4.06741i	1.03066	+	0.215270i
$358$	7.13930	+	26.6442i	0.377324	+	1.40819i
$359$	−5.89881	−	22.0147i	−0.311327	−	1.16189i	−0.927360	−	0.374169i	$-0.877928\pi$
$359$	−5.89881	−	22.0147i	−0.311327	−	1.16189i	0.616033	−	0.787720i	$-0.288739\pi$
$360$		−	14.1735i		−	0.747009i
$361$	14.8169	+	8.55456i	0.779839	+	0.450240i
$362$	−0.782713	−	0.782713i	−0.0411385	−	0.0411385i
$363$	7.98770			0.419246
$364$	−34.6550	+	24.4358i	−1.81641	+	1.28079i
$365$	−22.6483			−1.18547
$366$	−6.47040	−	6.47040i	−0.338213	−	0.338213i
$367$	−18.4248	−	10.6376i	−0.961767	−	0.555276i	−0.0650505	−	0.997882i	$-0.520721\pi$
$367$	−18.4248	−	10.6376i	−0.961767	−	0.555276i	−0.896716	+	0.442606i	$0.854054\pi$
$368$			0.148885i			0.00776119i
$369$	−0.656811	−	2.45125i	−0.0341922	−	0.127607i
$370$	−14.0891	−	52.5814i	−0.732460	−	2.73358i
$371$	27.1076	+	24.2350i	1.40736	+	1.25822i
$372$	−18.9135	+	18.9135i	−0.980621	+	0.980621i
$373$	−8.32600	−	14.4210i	−0.431104	−	0.746694i	0.565865	−	0.824498i	$-0.308542\pi$
$373$	−8.32600	−	14.4210i	−0.431104	−	0.746694i	−0.996969	+	0.0778044i	$0.975209\pi$
$374$	16.5656	−	28.6924i	0.856584	−	1.48365i
$375$	−2.82867	−	10.5567i	−0.146072	−	0.545147i
$376$	18.0591	−	31.2793i	0.931329	−	1.61311i
$377$	2.12965	−	2.28265i	0.109683	−	0.117562i
$378$	−3.02821	+	5.99548i	−0.155755	+	0.308374i
$379$	−4.72716	+	17.6420i	−0.242818	+	0.906209i	0.731649	+	0.681681i	$0.238751\pi$
$379$	−4.72716	+	17.6420i	−0.242818	+	0.906209i	−0.974468	+	0.224528i	$0.927916\pi$
$380$	−60.9893			−3.12869
$381$	3.18918			0.163386
$382$	5.81142	−	21.6885i	0.297338	−	1.10968i
$383$	25.7773	+	6.90700i	1.31716	+	0.352931i	0.847912	−	0.530137i	$-0.177860\pi$
$383$	25.7773	+	6.90700i	1.31716	+	0.352931i	0.469245	+	0.883068i	$0.344526\pi$
$384$	12.1202	−	3.24761i	0.618509	−	0.165729i
$385$	6.98813	−	7.81646i	0.356148	−	0.398364i
$386$	−11.4379	+	19.8110i	−0.582174	+	1.00835i
$387$			1.97563i			0.100427i
$388$	33.0441	−	8.85414i	1.67756	−	0.449501i
$389$	−0.958138	+	0.553181i	−0.0485795	+	0.0280474i	−0.524093	−	0.851661i	$-0.675596\pi$
$389$	−0.958138	+	0.553181i	−0.0485795	+	0.0280474i	0.475514	+	0.879708i	$0.342262\pi$
$390$	15.2819	+	14.2576i	0.773829	+	0.721963i
$391$			0.162983i			0.00824238i
$392$	6.49402	−	42.9643i	0.327997	−	2.17003i
$393$	−4.15389	−	7.19475i	−0.209536	−	0.362927i
$394$	27.4882	−	15.8703i	1.38484	−	0.799535i
$395$	−9.55980	−	2.56154i	−0.481006	−	0.128885i
$396$	5.45528	+	5.45528i	0.274138	+	0.274138i
$397$	3.67238	−	13.7055i	0.184311	−	0.687860i	−0.810465	−	0.585787i	$-0.800786\pi$
$397$	3.67238	−	13.7055i	0.184311	−	0.687860i	0.994777	−	0.102073i	$-0.0325476\pi$
$398$	14.9807	+	14.9807i	0.750913	+	0.750913i
$399$	14.1911	+	7.16770i	0.710445	+	0.358834i
$400$	1.26967	−	0.733046i	0.0634837	−	0.0366523i
$401$	−1.61276	+	1.61276i	−0.0805374	+	0.0805374i	−0.746228	−	0.665691i	$-0.768137\pi$
$401$	−1.61276	+	1.61276i	−0.0805374	+	0.0805374i	0.665691	+	0.746228i	$0.268137\pi$
$402$	−1.42657	−	2.47088i	−0.0711506	−	0.123237i
$403$	−0.751842	−	21.6828i	−0.0374519	−	1.08010i
$404$	−17.1759	−	9.91652i	−0.854533	−	0.493365i
$405$	2.20549	+	0.590961i	0.109592	+	0.0293651i
$406$	0.324889	+	5.80664i	0.0161239	+	0.288179i
$407$	14.1153	+	8.14948i	0.699670	+	0.403955i
$408$	−45.0848	+	12.0804i	−2.23203	+	0.598071i
$409$	13.9463	−	13.9463i	0.689598	−	0.689598i	−0.272545	−	0.962143i	$-0.587865\pi$
$409$	13.9463	−	13.9463i	0.689598	−	0.689598i	0.962143	+	0.272545i	$0.0878654\pi$
$410$	10.4018	−	10.4018i	0.513707	−	0.513707i
$411$	4.84610	−	1.29851i	0.239041	−	0.0640508i
$412$	32.6180	+	18.8320i	1.60698	+	0.927788i
$413$	13.7140	+	6.92672i	0.674823	+	0.340841i
$414$	−0.0531531	−	0.0142423i	−0.00261233	−	0.000699972i
$415$	24.1843	+	13.9628i	1.18716	+	0.685407i
$416$	8.50658	−	15.9891i	0.417069	−	0.783928i
$417$	1.35908	+	2.35400i	0.0665545	+	0.115276i
$418$	18.7222	−	18.7222i	0.915735	−	0.915735i
$419$	−11.9093	+	6.87586i	−0.581809	+	0.335908i	−0.761852	−	0.647751i	$-0.775710\pi$
$419$	−11.9093	+	6.87586i	−0.581809	+	0.335908i	0.180043	+	0.983659i	$0.442376\pi$
$420$	−26.8112	+	1.50012i	−1.30825	+	0.0731983i
$421$	−18.9223	−	18.9223i	−0.922215	−	0.922215i	0.0749709	−	0.997186i	$-0.476114\pi$
$421$	−18.9223	−	18.9223i	−0.922215	−	0.922215i	−0.997186	+	0.0749709i	$0.976114\pi$
$422$	−0.0679771	+	0.253694i	−0.00330907	+	0.0123496i
$423$	4.11431	+	4.11431i	0.200045	+	0.200045i
$424$	−82.4046	−	22.0802i	−4.00192	−	1.07231i
$425$	1.38989	−	0.802454i	0.0674196	−	0.0389247i
$426$	−16.4837	−	28.5506i	−0.798639	−	1.38328i
$427$	−6.35595	+	7.10935i	−0.307586	+	0.344046i
$428$			45.0630i			2.17820i
$429$	−6.25402	+	0.216856i	−0.301947	+	0.0104699i
$430$	−9.91777	+	5.72603i	−0.478277	+	0.276134i
$431$	−27.4744	+	7.36174i	−1.32340	+	0.354603i	−0.850249	−	0.526381i	$-0.823549\pi$
$431$	−27.4744	+	7.36174i	−1.32340	+	0.354603i	−0.473147	+	0.880984i	$0.656882\pi$
$432$		−	6.86883i		−	0.330477i
$433$	−12.8931	+	22.3315i	−0.619602	+	1.07318i	0.369957	+	0.929049i	$0.379372\pi$
$433$	−12.8931	+	22.3315i	−0.619602	+	1.07318i	−0.989558	+	0.144132i	$0.953961\pi$
$434$	30.1314	+	26.9383i	1.44635	+	1.29308i
$435$	1.90961	−	0.511679i	0.0915589	−	0.0245331i
$436$	−17.4572	−	4.67765i	−0.836049	−	0.224019i
$437$	−0.0337112	+	0.125812i	−0.00161262	+	0.00601840i
$438$	−25.1819			−1.20324
$439$	−2.47750			−0.118244			−0.0591222	−	0.998251i	$-0.518830\pi$
$439$	−2.47750			−0.118244			−0.0591222	+	0.998251i	$0.518830\pi$
$440$	−6.36682	+	23.7613i	−0.303526	+	1.13277i
$441$	6.41478	+	2.80190i	0.305466	+	0.133424i
$442$	32.3273	−	60.7627i	1.53765	−	2.89019i
$443$	−11.6371	+	20.1560i	−0.552894	+	0.957641i	0.445170	+	0.895446i	$0.353143\pi$
$443$	−11.6371	+	20.1560i	−0.552894	+	0.957641i	−0.998064	+	0.0621947i	$0.980190\pi$
$444$	−10.8041	−	40.3216i	−0.512742	−	1.91358i
$445$	2.76948	−	4.79689i	0.131286	−	0.227394i
$446$	−33.2624	−	57.6122i	−1.57502	−	2.72802i
$447$	−15.9474	+	15.9474i	−0.754288	+	0.754288i
$448$	−0.814374	−	2.47658i	−0.0384756	−	0.117007i
$449$	−2.13306	−	7.96070i	−0.100665	−	0.375688i	0.897152	−	0.441722i	$-0.145632\pi$
$449$	−2.13306	−	7.96070i	−0.100665	−	0.375688i	−0.997817	+	0.0660335i	$0.978966\pi$
$450$	0.140246	+	0.523405i	0.00661125	+	0.0246735i
$451$			4.40447i			0.207398i
$452$	−17.7403	−	10.2424i	−0.834433	−	0.481760i
$453$	14.7932	+	14.7932i	0.695046	+	0.695046i
$454$	−34.5590			−1.62193
$455$	13.9458	−	16.7313i	0.653789	−	0.784377i
$456$	−37.3013			−1.74679
$457$	−3.90295	−	3.90295i	−0.182572	−	0.182572i	0.609903	−	0.792476i	$-0.291208\pi$
$457$	−3.90295	−	3.90295i	−0.182572	−	0.182572i	−0.792476	+	0.609903i	$0.791208\pi$
$458$	53.4497	+	30.8592i	2.49754	+	1.44196i
$459$		−	7.51920i		−	0.350966i
$460$	−0.0569391	−	0.212500i	−0.00265480	−	0.00990785i
$461$	−8.89222	−	33.1862i	−0.414152	−	1.54564i	−0.786529	−	0.617554i	$-0.788124\pi$
$461$	−8.89222	−	33.1862i	−0.414152	−	1.54564i	0.372377	−	0.928082i	$-0.378543\pi$
$462$	7.76987	−	8.69087i	0.361487	−	0.404336i
$463$	10.3935	−	10.3935i	0.483025	−	0.483025i	−0.423072	−	0.906096i	$-0.639048\pi$
$463$	10.3935	−	10.3935i	0.483025	−	0.483025i	0.906096	+	0.423072i	$0.139048\pi$
$464$	−2.97367	−	5.15054i	−0.138049	−	0.239108i
$465$	6.86968	−	11.8986i	0.318574	−	0.551786i
$466$	6.29664	+	23.4994i	0.291686	+	1.08859i
$467$	−10.6589	+	18.4618i	−0.493237	+	0.854311i	−0.999970	−	0.00779214i	$-0.997520\pi$
$467$	−10.6589	+	18.4618i	−0.493237	+	0.854311i	0.506733	+	0.862103i	$0.330853\pi$
$468$	11.7188	+	10.9333i	0.541701	+	0.505394i
$469$	−2.48798	+	1.62824i	−0.114884	+	0.0751850i
$470$	−8.72943	+	32.5787i	−0.402658	+	1.50274i
$471$	6.57016			0.302737
$472$	−36.0472			−1.65921
$473$	0.887464	−	3.31206i	0.0408056	−	0.152289i
$474$	−10.6292	−	2.84809i	−0.488217	−	0.130817i
$475$	1.23888	−	0.331958i	0.0568439	−	0.0152313i
$476$	27.6236	+	84.0057i	1.26613	+	3.85039i
$477$	6.87167	−	11.9021i	0.314632	−	0.544959i
$478$		−	20.2572i		−	0.926544i
$479$	14.3726	−	3.85114i	0.656703	−	0.175963i	0.0849452	−	0.996386i	$-0.472928\pi$
$479$	14.3726	−	3.85114i	0.656703	−	0.175963i	0.571758	+	0.820423i	$0.306262\pi$
$480$	9.93267	−	5.73463i	0.453362	−	0.261749i
$481$	29.8924	+	15.9035i	1.36298	+	0.725137i
$482$			64.4246i			2.93446i
$483$	−0.0117251	+	0.0561366i	−0.000533509	+	0.00255430i
$484$	17.7531	+	30.7493i	0.806961	+	1.39770i
$485$	−15.2181	+	8.78616i	−0.691017	+	0.398959i
$486$	2.45222	+	0.657070i	0.111235	+	0.0298053i
$487$	10.2062	+	10.2062i	0.462486	+	0.462486i	0.899469	−	0.436984i	$-0.143953\pi$
$487$	10.2062	+	10.2062i	0.462486	+	0.462486i	−0.436984	+	0.899469i	$0.643953\pi$
$488$	5.79085	−	21.6117i	0.262139	−	0.978318i
$489$	−17.1549	−	17.1549i	−0.775772	−	0.775772i
$490$	4.52645	+	40.3233i	0.204484	+	1.82162i
$491$	0.458913	−	0.264954i	0.0207105	−	0.0119572i	−0.489609	−	0.871942i	$-0.662860\pi$
$491$	0.458913	−	0.264954i	0.0207105	−	0.0119572i	0.510319	+	0.859985i	$0.329527\pi$
$492$	7.97651	−	7.97651i	0.359609	−	0.359609i
$493$	−3.25522	−	5.63821i	−0.146608	−	0.253932i
$494$	37.5226	−	40.2183i	1.68822	−	1.80951i
$495$	−3.43196	−	1.98144i	−0.154255	−	0.0890591i
$496$	−39.9237	−	10.6975i	−1.79263	−	0.480333i
$497$	−28.7482	+	18.8140i	−1.28953	+	0.843923i
$498$	26.8897	+	15.5248i	1.20496	+	0.695683i
$499$	−24.5354	+	6.57425i	−1.09836	+	0.294304i	−0.762095	−	0.647465i	$-0.775829\pi$
$499$	−24.5354	+	6.57425i	−1.09836	+	0.294304i	−0.336261	+	0.941769i	$0.609163\pi$
$500$	34.3521	−	34.3521i	1.53627	−	1.53627i
$501$	−5.42235	+	5.42235i	−0.242253	+	0.242253i
$502$	−28.2186	+	7.56114i	−1.25946	+	0.337470i
$503$	18.0905	+	10.4445i	0.806615	+	0.465699i	0.845779	−	0.533533i	$-0.179136\pi$
$503$	18.0905	+	10.4445i	0.806615	+	0.465699i	−0.0391641	+	0.999233i	$0.512470\pi$
$504$	−16.3978	+	0.917477i	−0.730416	+	0.0408677i
$505$	9.84038	+	2.63672i	0.437891	+	0.117333i
$506$	0.0827112	+	0.0477533i	0.00367696	+	0.00212289i
$507$	−12.9688	+	0.900456i	−0.575964	+	0.0399907i
$508$	7.08813	+	12.2770i	0.314485	+	0.544704i
$509$	8.17767	−	8.17767i	0.362469	−	0.362469i	−0.502252	−	0.864721i	$-0.667495\pi$
$509$	8.17767	−	8.17767i	0.362469	−	0.362469i	0.864721	+	0.502252i	$0.167495\pi$
$510$	37.7468	−	21.7931i	1.67146	−	0.965016i
$511$	1.46607	+	26.2026i	0.0648549	+	1.15913i
$512$	35.9022	+	35.9022i	1.58667	+	1.58667i
$513$	1.55527	−	5.80433i	0.0686667	−	0.256268i
$514$	49.1556	+	49.1556i	2.16816	+	2.16816i
$515$	−18.6875	−	5.00729i	−0.823468	−	0.220647i
$516$	−7.60536	+	4.39095i	−0.334807	+	0.193301i
$517$	−5.04930	−	8.74564i	−0.222068	−	0.384633i
$518$	−59.9211	+	19.7039i	−2.63278	+	0.865739i
$519$			0.223665i			0.00981780i
$520$	−11.5080	+	49.7907i	−0.504659	+	2.18347i
$521$	24.8573	−	14.3514i	1.08902	−	0.628746i	0.155705	−	0.987804i	$-0.450235\pi$
$521$	24.8573	−	14.3514i	1.08902	−	0.628746i	0.933315	+	0.359058i	$0.116902\pi$
$522$	2.12324	−	0.568919i	0.0929315	−	0.0249009i
$523$		−	1.53739i		−	0.0672252i	−0.999435	−	0.0336126i	$-0.989299\pi$
$523$		−	1.53739i		−	0.0672252i	0.999435	−	0.0336126i	$-0.0107012\pi$
$524$	18.4645	−	31.9815i	0.806627	−	1.39712i
$525$	0.536454	−	0.176402i	0.0234128	−	0.00769882i
$526$	−49.7102	+	13.3198i	−2.16747	+	0.580771i
$527$	−43.7039	−	11.7104i	−1.90377	−	0.510114i
$528$	−3.08552	+	11.5153i	−0.134280	+	0.501139i
$529$	22.9995			0.999980
$530$	79.6655			3.46045
$531$	1.50298	−	5.60919i	0.0652237	−	0.243418i
$532$	3.94795	+	70.5606i	0.171165	+	3.05919i
$533$	0.317078	+	9.14440i	0.0137342	+	0.396088i
$534$	3.07930	−	5.33351i	0.133254	−	0.230803i
$535$	−5.99094	−	22.3585i	−0.259011	−	0.966642i
$536$	3.48812	−	6.04160i	0.150664	−	0.260958i
$537$	−5.43268	−	9.40968i	−0.234437	−	0.406058i
$538$	−3.25905	+	3.25905i	−0.140508	+	0.140508i
$539$	−9.49547	−	7.57882i	−0.408999	−	0.326443i
$540$	2.62689	+	9.80368i	0.113043	+	0.421883i
$541$	10.2400	+	38.2161i	0.440251	+	1.64304i	0.728178	+	0.685388i	$0.240367\pi$
$541$	10.2400	+	38.2161i	0.440251	+	1.64304i	−0.287927	+	0.957652i	$0.592966\pi$
$542$			55.8984i			2.40104i
$543$	0.377601	+	0.218008i	0.0162044	+	0.00935562i
$544$	−26.7073	−	26.7073i	−1.14507	−	1.14507i
$545$	9.28347			0.397660
$546$	15.5059	−	18.6030i	0.663591	−	0.796137i
$547$	23.5304			1.00609			0.503043	−	0.864261i	$-0.332214\pi$
$547$	23.5304			1.00609			0.503043	+	0.864261i	$0.332214\pi$
$548$	15.7695	+	15.7695i	0.673639	+	0.673639i
$549$	3.12149	+	1.80219i	0.133222	+	0.0769157i
$550$		−	0.940465i		−	0.0401016i
$551$	−1.34662	−	5.02564i	−0.0573678	−	0.214099i
$552$	−0.0348242	−	0.129966i	−0.00148221	−	0.00553170i
$553$	−2.34471	+	11.2259i	−0.0997071	+	0.477372i
$554$	36.4426	−	36.4426i	1.54830	−	1.54830i
$555$	10.7212	+	18.5697i	0.455089	+	0.788238i
$556$	−6.04127	+	10.4638i	−0.256207	+	0.443764i
$557$	−4.83024	−	18.0267i	−0.204664	−	0.763816i	−0.989552	−	0.144178i	$-0.953946\pi$
$557$	−4.83024	−	18.0267i	−0.204664	−	0.763816i	0.784888	−	0.619638i	$-0.212720\pi$
$558$	7.63818	−	13.2297i	0.323350	−	0.560059i
$559$	1.60409	−	6.94028i	0.0678456	−	0.293542i
$560$	−22.7225	−	34.7204i	−0.960202	−	1.46721i
$561$	−3.37767	+	12.6056i	−0.142605	+	0.532210i
$562$	50.9478			2.14910
$563$	10.0368			0.423000			0.211500	−	0.977378i	$-0.432165\pi$
$563$	10.0368			0.423000			0.211500	+	0.977378i	$0.432165\pi$
$564$	−6.69409	+	24.9827i	−0.281872	+	1.05196i
$565$	10.1637	+	2.72336i	0.427591	+	0.114573i
$566$	−16.6802	+	4.46944i	−0.701119	+	0.187864i
$567$	0.540936	−	2.58986i	0.0227172	−	0.108764i
$568$	40.3046	−	69.8097i	1.69114	−	2.92915i
$569$		−	11.4381i		−	0.479510i	−0.970833	−	0.239755i	$-0.922933\pi$
$569$		−	11.4381i		−	0.479510i	0.970833	−	0.239755i	$-0.0770672\pi$
$570$	33.6457	−	9.01534i	1.40926	−	0.377611i
$571$	37.6951	−	21.7633i	1.57749	−	0.910765i	0.582284	−	0.812986i	$-0.302159\pi$
$571$	37.6951	−	21.7633i	1.57749	−	0.910765i	0.995208	−	0.0977796i	$-0.0311740\pi$
$572$	−14.7347	−	23.5934i	−0.616090	−	0.986491i
$573$			8.84445i			0.369482i
$574$	−12.7075	−	11.3608i	−0.530400	−	0.474191i
$575$	0.00231322	+	0.00400662i	9.64681e−5	+	0.000167088i
$576$	−0.853354	+	0.492684i	−0.0355564	+	0.0205285i
$577$	1.32152	+	0.354101i	0.0550158	+	0.0147414i	0.286222	−	0.958163i	$-0.407601\pi$
$577$	1.32152	+	0.354101i	0.0550158	+	0.0147414i	−0.231206	+	0.972905i	$0.574267\pi$
$578$	−70.9773	−	70.9773i	−2.95227	−	2.95227i
$579$	2.33215	−	8.70371i	0.0969210	−	0.361714i
$580$	6.21398	+	6.21398i	0.258021	+	0.258021i
$581$	14.5885	−	28.8834i	0.605234	−	1.19829i
$582$	−16.9205	+	9.76905i	−0.701377	+	0.404940i
$583$	−16.8666	+	16.8666i	−0.698541	+	0.698541i
$584$	−30.7864	−	53.3236i	−1.27395	−	2.20655i
$585$	−7.26795	−	3.86673i	−0.300493	−	0.159870i
$586$	−46.7709	−	27.0032i	−1.93209	−	1.11549i
$587$	20.9489	+	5.61323i	0.864652	+	0.231683i	0.663774	−	0.747933i	$-0.268954\pi$
$587$	20.9489	+	5.61323i	0.864652	+	0.231683i	0.200878	+	0.979616i	$0.435620\pi$
$588$	3.47107	+	30.9216i	0.143145	+	1.27519i
$589$	−31.3144	−	18.0794i	−1.29029	−	0.744947i
$590$	32.5145	−	8.71225i	1.33860	−	0.358678i
$591$	−8.84067	+	8.84067i	−0.363657	+	0.363657i
$592$	45.6120	−	45.6120i	1.87464	−	1.87464i
$593$	−4.07949	+	1.09310i	−0.167525	+	0.0448881i	−0.341606	−	0.939843i	$-0.610971\pi$
$593$	−4.07949	+	1.09310i	−0.167525	+	0.0448881i	0.174082	+	0.984731i	$0.444304\pi$
$594$	−3.81588	−	2.20310i	−0.156568	−	0.0903943i
$595$	−24.8740	−	38.0079i	−1.01973	−	1.55817i
$596$	−96.8352	−	25.9469i	−3.96652	−	1.06283i
$597$	−7.22706	−	4.17254i	−0.295784	−	0.170771i
$598$	0.175160	+	0.0931894i	0.00716282	+	0.00381080i
$599$	9.66178	+	16.7347i	0.394770	+	0.683761i	0.993072	−	0.117510i	$-0.0374911\pi$
$599$	9.66178	+	16.7347i	0.394770	+	0.683761i	−0.598302	+	0.801271i	$0.704158\pi$
$600$	−0.936868	+	0.936868i	−0.0382475	+	0.0382475i
$601$	6.96892	−	4.02351i	0.284268	−	0.164122i	−0.351086	−	0.936343i	$-0.614187\pi$
$601$	6.96892	−	4.02351i	0.284268	−	0.164122i	0.635354	+	0.772221i	$0.280854\pi$
$602$	7.26662	+	11.1035i	0.296165	+	0.452546i
$603$	0.794679	+	0.794679i	0.0323618	+	0.0323618i
$604$	−24.0689	+	89.8265i	−0.979351	+	3.65499i
$605$	−12.8964	−	12.8964i	−0.524314	−	0.524314i
$606$	10.9412	+	2.93169i	0.444456	+	0.119092i
$607$	−38.9494	+	22.4875i	−1.58091	+	0.912737i	−0.586180	+	0.810180i	$0.699369\pi$
$607$	−38.9494	+	22.4875i	−1.58091	+	0.912737i	−0.994727	+	0.102557i	$0.967298\pi$
$608$	−15.0922	−	26.1404i	−0.612068	−	1.06013i
$609$	−0.715591	−	2.17617i	−0.0289972	−	0.0881829i
$610$			20.8934i			0.845948i
$611$	−11.1128	−	17.7939i	−0.449575	−	0.719864i
$612$	28.9458	−	16.7119i	1.17006	−	0.675537i
$613$	5.22539	−	1.40014i	0.211051	−	0.0565510i	−0.151744	−	0.988420i	$-0.548489\pi$
$613$	5.22539	−	1.40014i	0.211051	−	0.0565510i	0.362796	+	0.931869i	$0.381822\pi$
$614$			62.7808i			2.53363i
$615$	−2.89719	+	5.01808i	−0.116826	+	0.202348i
$616$	27.9023	+	5.82787i	1.12422	+	0.234811i
$617$	21.1557	−	5.66866i	0.851697	−	0.228212i	0.193540	−	0.981092i	$-0.438003\pi$
$617$	21.1557	−	5.66866i	0.851697	−	0.228212i	0.658157	+	0.752881i	$0.271336\pi$
$618$	−20.7780	−	5.56744i	−0.835813	−	0.223955i
$619$	−1.72873	+	6.45170i	−0.0694834	+	0.259316i	−0.991926	−	0.126819i	$-0.959523\pi$
$619$	−1.72873	+	6.45170i	−0.0694834	+	0.259316i	0.922442	+	0.386135i	$0.126190\pi$
$620$	61.0731			2.45275
$621$	0.0216755			0.000869808
$622$	2.50873	−	9.36272i	0.100591	−	0.375411i
$623$	−5.72895	−	2.89360i	−0.229526	−	0.115929i
$624$	−5.57706	+	24.1298i	−0.223261	+	0.965965i
$625$	−13.0108	+	22.5354i	−0.520433	+	0.901416i
$626$	8.43914	+	31.4953i	0.337296	+	1.25881i
$627$	−5.21468	+	9.03208i	−0.208254	+	0.360707i
$628$	14.6026	+	25.2924i	0.582706	+	1.00928i
$629$	49.9307	−	49.9307i	1.99087	−	1.99087i
$630$	14.5691	−	4.79075i	0.580445	−	0.190868i
$631$	−5.79046	−	21.6103i	−0.230515	−	0.860293i	−0.980120	−	0.198407i	$-0.936423\pi$
$631$	−5.79046	−	21.6103i	−0.230515	−	0.860293i	0.749605	−	0.661886i	$-0.230244\pi$
$632$	−6.96392	−	25.9897i	−0.277010	−	1.03382i
$633$		−	0.103455i		−	0.00411196i
$634$	20.7900	+	12.0031i	0.825678	+	0.476705i
$635$	−5.14903	−	5.14903i	−0.204333	−	0.204333i
$636$	61.0908			2.42241
$637$	−20.2598	−	15.0513i	−0.802721	−	0.596354i
$638$	−3.81508			−0.151040
$639$	9.18237	+	9.18237i	0.363249	+	0.363249i
$640$	−24.8119	−	14.3252i	−0.980778	−	0.566252i
$641$			2.21138i			0.0873444i	0.999046	+	0.0436722i	$0.0139057\pi$
$641$			2.21138i			0.0873444i	−0.999046	+	0.0436722i	$0.986094\pi$
$642$	−6.66114	−	24.8597i	−0.262894	−	0.981134i
$643$	1.55263	+	5.79449i	0.0612297	+	0.228512i	0.989759	−	0.142746i	$-0.0455932\pi$
$643$	1.55263	+	5.79449i	0.0612297	+	0.228512i	−0.928530	+	0.371258i	$0.878926\pi$
$644$	−0.242162	+	0.0796302i	−0.00954253	+	0.00313787i
$645$	3.18972	−	3.18972i	0.125595	−	0.125595i
$646$	−57.3543	−	99.3405i	−2.25657	−	3.90850i
$647$	0.776754	−	1.34538i	0.0305373	−	0.0528922i	−0.850353	−	0.526213i	$-0.823611\pi$
$647$	0.776754	−	1.34538i	0.0305373	−	0.0528922i	0.880890	+	0.473321i	$0.156945\pi$
$648$	1.60661	+	5.99596i	0.0631137	+	0.235544i
$649$	−5.03936	+	8.72842i	−0.197812	+	0.342621i
$650$	−0.0677042	−	1.95256i	−0.00265558	−	0.0765857i
$651$	−14.2106	−	7.17754i	−0.556958	−	0.281310i
$652$	27.9115	−	104.167i	1.09310	−	4.07950i
$653$	21.9754			0.859962			0.429981	−	0.902838i	$-0.358520\pi$
$653$	21.9754			0.859962			0.429981	+	0.902838i	$0.358520\pi$
$654$	10.3220			0.403622
$655$	−4.90957	+	18.3228i	−0.191833	+	0.715930i
$656$	16.8373	+	4.51153i	0.657384	+	0.176146i
$657$	9.58115	−	2.56726i	0.373796	−	0.100158i
$658$	38.2564	+	7.99048i	1.49139	+	0.311501i
$659$	13.5876	−	23.5344i	0.529298	−	0.916771i	−0.470118	−	0.882604i	$-0.655789\pi$
$659$	13.5876	−	23.5344i	0.529298	−	0.916771i	0.999416	−	0.0341676i	$-0.0108780\pi$
$660$		−	17.6155i		−	0.685681i
$661$	10.4653	−	2.80418i	0.407055	−	0.109070i	−0.0494809	−	0.998775i	$-0.515757\pi$
$661$	10.4653	−	2.80418i	0.407055	−	0.109070i	0.456536	+	0.889705i	$0.349090\pi$
$662$	−34.5488	+	19.9468i	−1.34278	+	0.775254i
$663$	−6.10511	+	26.4145i	−0.237103	+	1.02585i
$664$			75.9199i			2.94626i
$665$	−11.3396	−	34.4845i	−0.439729	−	1.33725i
$666$	11.9205	+	20.6470i	0.461912	+	0.800055i
$667$	0.0162532	−	0.00938379i	0.000629327	−	0.000363342i
$668$	−32.9253	−	8.82230i	−1.27392	−	0.341345i
$669$	18.5291	+	18.5291i	0.716375	+	0.716375i
$670$	−1.68609	+	6.29257i	−0.0651393	+	0.243103i
$671$	−4.42349	−	4.42349i	−0.170767	−	0.170767i
$672$	−7.27754	−	11.1202i	−0.280737	−	0.428972i
$673$	−33.8958	+	19.5698i	−1.30659	+	0.754359i	−0.981525	−	0.191333i	$-0.938719\pi$
$673$	−33.8958	+	19.5698i	−1.30659	+	0.754359i	−0.325063	+	0.945692i	$0.605386\pi$
$674$	2.53696	−	2.53696i	0.0977199	−	0.0977199i
$675$	−0.106721	−	0.184846i	−0.00410768	−	0.00711471i
$676$	−32.2902	−	47.9231i	−1.24193	−	1.84320i
$677$	13.3692	+	7.71873i	0.513822	+	0.296655i	0.734403	−	0.678714i	$-0.237462\pi$
$677$	13.3692	+	7.71873i	0.513822	+	0.296655i	−0.220582	+	0.975369i	$0.570796\pi$
$678$	11.3007	+	3.02802i	0.434001	+	0.116290i
$679$	11.1501	+	17.0375i	0.427901	+	0.653841i
$680$	92.2953	+	53.2867i	3.53936	+	2.04345i
$681$	13.1489	−	3.52323i	0.503866	−	0.135011i
$682$	−18.7479	+	18.7479i	−0.717896	+	0.717896i
$683$	−33.0031	+	33.0031i	−1.26283	+	1.26283i	−0.313112	+	0.949716i	$0.601372\pi$
$683$	−33.0031	+	33.0031i	−1.26283	+	1.26283i	−0.949716	+	0.313112i	$0.898628\pi$
$684$	25.8009	−	6.91334i	0.986523	−	0.264338i
$685$	−9.92069	−	5.72771i	−0.379050	−	0.218845i
$686$	46.3584	−	7.84700i	1.76997	−	0.299600i
$687$	−23.4824	−	6.29210i	−0.895911	−	0.240059i
$688$	−11.7522	−	6.78514i	−0.448049	−	0.258681i
$689$	−33.8035	+	36.2320i	−1.28781	+	1.38033i
$690$	0.0628227	+	0.108812i	0.00239162	+	0.00414241i
$691$	3.43404	−	3.43404i	0.130637	−	0.130637i	−0.638765	−	0.769402i	$-0.720554\pi$
$691$	3.43404	−	3.43404i	0.130637	−	0.130637i	0.769402	+	0.638765i	$0.220554\pi$
$692$	−0.861017	+	0.497108i	−0.0327310	+	0.0188972i
$693$	−2.07024	+	4.09880i	−0.0786418	+	0.155701i
$694$	−9.87660	−	9.87660i	−0.374910	−	0.374910i
$695$	1.60633	−	5.99489i	0.0609314	−	0.227399i
$696$	3.80049	+	3.80049i	0.144057	+	0.144057i
$697$	18.4315	+	4.93870i	0.698142	+	0.187067i
$698$	−29.8489	+	17.2332i	−1.12980	+	0.652288i
$699$	−4.79145	−	8.29904i	−0.181229	−	0.313899i
$700$	1.87137	+	1.67306i	0.0707313	+	0.0632357i
$701$		−	34.8788i		−	1.31735i	−0.752426	−	0.658677i	$-0.771116\pi$
$701$		−	34.8788i		−	1.31735i	0.752426	−	0.658677i	$-0.228884\pi$
$702$	−8.08100	−	4.29929i	−0.304998	−	0.162266i
$703$	48.8709	−	28.2156i	1.84320	−	1.06417i
$704$	1.65193	−	0.442633i	0.0622594	−	0.0166824i
$705$		−	13.2854i		−	0.500357i
$706$	9.85401	−	17.0676i	0.370861	−	0.642349i
$707$	2.41352	−	11.5553i	0.0907699	−	0.434583i
$708$	24.9335	−	6.68091i	0.937058	−	0.251084i
$709$	42.8331	+	11.4771i	1.60863	+	0.431032i	0.947635	−	0.319357i	$-0.103467\pi$
$709$	42.8331	+	11.4771i	1.60863	+	0.431032i	0.660997	+	0.750388i	$0.270134\pi$
$710$	−19.4825	+	72.7095i	−0.731164	+	2.72874i
$711$	4.33454			0.162558
$712$	15.0585			0.564341
$713$	0.0337575	−	0.125985i	0.00126423	−	0.00471816i
$714$	−27.6566	−	42.2598i	−1.03502	−	1.58153i
$715$	10.4475	+	9.74722i	0.390713	+	0.364525i
$716$	24.1489	−	41.8271i	0.902487	−	1.56315i
$717$	2.06519	+	7.70741i	0.0771261	+	0.287839i
$718$	−28.9304	+	50.1088i	−1.07967	+	1.87005i
$719$	−11.7231	−	20.3050i	−0.437197	−	0.757247i	0.560275	−	0.828306i	$-0.310695\pi$
$719$	−11.7231	−	20.3050i	−0.437197	−	0.757247i	−0.997472	+	0.0710594i	$0.977362\pi$
$720$	−11.0900	+	11.0900i	−0.413299	+	0.413299i
$721$	−4.58342	+	21.9443i	−0.170696	+	0.817247i
$722$	−11.2419	−	41.9553i	−0.418380	−	1.56141i
$723$	−6.56799	−	24.5121i	−0.244266	−	0.911613i
$724$			1.93814i			0.0720305i
$725$	−0.160047	−	0.0924033i	−0.00594400	−	0.00343177i
$726$	−14.3391	−	14.3391i	−0.532174	−	0.532174i
$727$	−4.34538			−0.161161			−0.0805806	−	0.996748i	$-0.525677\pi$
$727$	−4.34538			−0.161161			−0.0805806	+	0.996748i	$0.525677\pi$
$728$	58.3494	+	10.0909i	2.16257	+	0.373994i
$729$	−1.00000			−0.0370370
$730$	40.6571	+	40.6571i	1.50479	+	1.50479i
$731$	−12.8650	−	7.42758i	−0.475827	−	0.274719i
$732$			16.0219i			0.592187i
$733$	11.5162	+	42.9792i	0.425362	+	1.58747i	0.763130	+	0.646245i	$0.223661\pi$
$733$	11.5162	+	42.9792i	0.425362	+	1.58747i	−0.337768	+	0.941229i	$0.609672\pi$
$734$	13.9792	+	52.1713i	0.515984	+	1.92568i
$735$	−5.83311	−	14.8806i	−0.215158	−	0.548881i
$736$	0.0769888	−	0.0769888i	0.00283784	−	0.00283784i
$737$	−0.975271	−	1.68922i	−0.0359246	−	0.0622232i
$738$	−3.22129	+	5.57944i	−0.118577	+	0.205382i
$739$	7.57142	+	28.2569i	0.278519	+	1.03945i	0.953446	+	0.301564i	$0.0975085\pi$
$739$	7.57142	+	28.2569i	0.278519	+	1.03945i	−0.674927	+	0.737885i	$0.735825\pi$
$740$	−47.6570	+	82.5443i	−1.75190	+	3.03439i
$741$	−10.1763	+	19.1275i	−0.373836	+	0.702666i
$742$	−5.15689	−	92.1676i	−0.189315	−	3.38358i
$743$	−2.66460	+	9.94444i	−0.0977548	+	0.364826i	−0.997423	−	0.0717489i	$-0.977142\pi$
$743$	−2.66460	+	9.94444i	−0.0977548	+	0.364826i	0.899668	+	0.436575i	$0.143809\pi$
$744$	37.3525			1.36941
$745$	51.4954			1.88665
$746$	−10.9415	+	40.8343i	−0.400598	+	1.49505i
$747$	−11.8137	−	3.16546i	−0.432239	−	0.115818i
$748$	−56.0335	+	15.0141i	−2.04879	+	0.548971i
$749$	−25.4795	+	8.37842i	−0.931000	+	0.306141i
$750$	−13.8730	+	24.0288i	−0.506571	+	0.877407i
$751$			21.4555i			0.782923i	0.920194	+	0.391462i	$0.128030\pi$
$751$			21.4555i			0.782923i	−0.920194	+	0.391462i	$0.871970\pi$
$752$	−38.6046	+	10.3441i	−1.40776	+	0.377209i
$753$	9.96567	−	5.75368i	0.363169	−	0.209676i
$754$	−7.92073	+	0.274648i	−0.288456	+	0.0100021i
$755$		−	47.7683i		−	1.73847i
$756$	11.1722	−	3.67374i	0.406327	−	0.133613i
$757$	−18.9933	−	32.8973i	−0.690322	−	1.19567i	−0.971732	−	0.236085i	$-0.924136\pi$
$757$	−18.9933	−	32.8973i	−0.690322	−	1.19567i	0.281410	−	0.959588i	$-0.409198\pi$
$758$	40.1560	−	23.1841i	1.45853	−	0.842084i
$759$	−0.0363381	−	0.00973676i	−0.00131899	−	0.000353422i
$760$	60.2242	+	60.2242i	2.18456	+	2.18456i
$761$	−4.37608	+	16.3317i	−0.158633	+	0.592025i	0.840134	+	0.542379i	$0.182476\pi$
$761$	−4.37608	+	16.3317i	−0.158633	+	0.592025i	−0.998767	+	0.0496467i	$0.984190\pi$
$762$	−5.72504	−	5.72504i	−0.207396	−	0.207396i
$763$	−0.600936	−	10.7403i	−0.0217553	−	0.388827i
$764$	−34.0475	+	19.6573i	−1.23179	+	0.711177i
$765$	−12.1400	+	12.1400i	−0.438923	+	0.438923i
$766$	−33.8749	−	58.6731i	−1.22395	−	2.11995i
$767$	−9.83418	+	18.4844i	−0.355092	+	0.667434i
$768$	−25.8809	−	14.9423i	−0.933896	−	0.539185i
$769$	35.8744	+	9.61252i	1.29366	+	0.346636i	0.839051	−	0.544052i	$-0.183111\pi$
$769$	35.8744	+	9.61252i	1.29366	+	0.346636i	0.454614	+	0.890689i	$0.349777\pi$
$770$	−26.5764	+	1.48698i	−0.957748	+	0.0535872i
$771$	−23.7139	−	13.6912i	−0.854036	−	0.493078i
$772$	38.6890	−	10.3667i	1.39245	−	0.373106i
$773$	8.34392	−	8.34392i	0.300110	−	0.300110i	−0.540947	−	0.841057i	$-0.681934\pi$
$773$	8.34392	−	8.34392i	0.300110	−	0.300110i	0.841057	+	0.540947i	$0.181934\pi$
$774$	3.54655	−	3.54655i	0.127478	−	0.127478i
$775$	−1.24059	+	0.332414i	−0.0445631	+	0.0119407i
$776$	−41.3726	−	23.8865i	−1.48519	−	0.857474i
$777$	20.7898	−	13.6057i	0.745831	−	0.488103i
$778$	2.71304	+	0.726958i	0.0972673	+	0.0260627i
$779$	13.2064	+	7.62470i	0.473167	+	0.273183i
$780$	−1.26814	−	36.5726i	−0.0454067	−	1.30951i
$781$	−11.2691	−	19.5186i	−0.403240	−	0.698431i
$782$	0.292578	−	0.292578i	0.0104626	−	0.0104626i
$783$	−0.749842	+	0.432921i	−0.0267972	+	0.0154714i
$784$	−38.6983	+	28.5359i	−1.38208	+	1.01914i
$785$	−10.6077	−	10.6077i	−0.378607	−	0.378607i
$786$	−5.45879	+	20.3725i	−0.194709	+	0.726663i
$787$	2.89556	+	2.89556i	0.103216	+	0.103216i	0.756829	−	0.653613i	$-0.226748\pi$
$787$	2.89556	+	2.89556i	0.103216	+	0.103216i	−0.653613	+	0.756829i	$0.726748\pi$
$788$	−53.6818	−	14.3840i	−1.91234	−	0.512409i
$789$	17.5557	−	10.1358i	0.624998	−	0.360843i
$790$	12.5629	+	21.7596i	0.446968	+	0.774172i
$791$	2.49283	−	11.9350i	0.0886348	−	0.424361i
$792$		−	10.7737i		−	0.382826i
$793$	−9.50234	−	8.86544i	−0.337438	−	0.314821i
$794$	−31.1959	+	18.0110i	−1.10710	+	0.639185i
$795$	−30.3109	+	8.12178i	−1.07502	+	0.288050i
$796$		−	37.0949i		−	1.31479i
$797$	−1.02216	+	1.77043i	−0.0362067	+	0.0627119i	−0.883561	−	0.468316i	$-0.844861\pi$
$797$	−1.02216	+	1.77043i	−0.0362067	+	0.0627119i	0.847354	+	0.531028i	$0.178194\pi$
$798$	−12.6081	−	38.3423i	−0.446322	−	1.35730i
$799$	−42.2598	+	11.3235i	−1.49504	+	0.400596i
$800$	−1.03561	−	0.277490i	−0.0366143	−	0.00981076i
$801$	−0.627860	+	2.34321i	−0.0221843	+	0.0827931i
$802$	5.79029			0.204462
$803$	−17.2156			−0.607526
$804$	−1.29296	+	4.82540i	−0.0455993	+	0.170179i
$805$	0.109565	−	0.0717039i	0.00386166	−	0.00252723i
$806$	−37.5742	+	40.2735i	−1.32349	+	1.41857i
$807$	0.907738	−	1.57225i	0.0319539	−	0.0553458i
$808$	7.16832	+	26.7525i	0.252181	+	0.941150i
$809$	13.5861	−	23.5318i	0.477661	−	0.827333i	−0.522011	−	0.852939i	$-0.674818\pi$
$809$	13.5861	−	23.5318i	0.477661	−	0.827333i	0.999672	+	0.0256055i	$0.00815138\pi$
$810$	−2.89833	−	5.02005i	−0.101837	−	0.176387i
$811$	−18.4741	+	18.4741i	−0.648712	+	0.648712i	−0.952682	−	0.303970i	$-0.901688\pi$
$811$	−18.4741	+	18.4741i	−0.648712	+	0.648712i	0.303970	+	0.952682i	$0.401688\pi$
$812$	6.78691	−	7.59139i	0.238174	−	0.266406i
$813$	−5.69876	−	21.2681i	−0.199864	−	0.745903i
$814$	−10.7096	−	39.9686i	−0.375370	−	1.40090i
$815$			55.3944i			1.94038i
$816$	44.7286	+	25.8241i	1.56581	+	0.904023i
$817$	−8.39458	−	8.39458i	−0.293689	−	0.293689i
$818$	−50.0712			−1.75070
$819$	−4.00308	+	8.65883i	−0.139879	+	0.302564i
$820$	−25.7567			−0.899462
$821$	1.16838	+	1.16838i	0.0407768	+	0.0407768i	0.727201	−	0.686424i	$-0.240821\pi$
$821$	1.16838	+	1.16838i	0.0407768	+	0.0407768i	−0.686424	+	0.727201i	$0.740821\pi$
$822$	−11.0305	−	6.36846i	−0.384733	−	0.222126i
$823$		−	26.4025i		−	0.920334i	−0.887832	−	0.460167i	$-0.847790\pi$
$823$		−	26.4025i		−	0.920334i	0.887832	−	0.460167i	$-0.152210\pi$
$824$	−13.6131	−	50.8046i	−0.474233	−	1.76986i
$825$	0.0958790	+	0.357825i	0.00333808	+	0.0124579i
$826$	−12.1842	−	37.0532i	−0.423943	−	1.28925i
$827$	21.2610	−	21.2610i	0.739319	−	0.739319i	−0.233127	−	0.972446i	$-0.574896\pi$
$827$	21.2610	−	21.2610i	0.739319	−	0.739319i	0.972446	+	0.233127i	$0.0748959\pi$
$828$	0.0481751	+	0.0834417i	0.00167420	+	0.00289980i
$829$	−14.3114	+	24.7881i	−0.497056	+	0.860926i	−0.999994	−	0.00339651i	$-0.998919\pi$
$829$	−14.3114	+	24.7881i	−0.497056	+	0.860926i	0.502939	+	0.864322i	$0.332252\pi$
$830$	−18.3491	−	68.4797i	−0.636906	−	2.37697i
$831$	−10.1503	+	17.5808i	−0.352110	+	0.609873i
$832$	3.39781	−	1.03790i	0.117798	−	0.0359828i
$833$	−42.3625	+	31.2378i	−1.46777	+	1.08233i
$834$	1.78602	−	6.66553i	0.0618449	−	0.230808i
$835$	17.5091			0.605929
$836$	−46.3597			−1.60338
$837$	−1.55740	+	5.81230i	−0.0538317	+	0.200903i
$838$	33.7222	+	9.03584i	1.16491	+	0.312138i
$839$	2.96674	−	0.794936i	0.102423	−	0.0274442i	−0.207243	−	0.978289i	$-0.566449\pi$
$839$	2.96674	−	0.794936i	0.102423	−	0.0274442i	0.309667	+	0.950845i	$0.399783\pi$
$840$	27.9561	+	24.9935i	0.964577	+	0.862358i
$841$	14.1252	−	24.4655i	0.487074	−	0.843638i
$842$			67.9366i			2.34125i
$843$	−19.3845	+	5.19405i	−0.667636	+	0.178893i
$844$	0.398258	−	0.229935i	0.0137086	−	0.00791467i
$845$	22.3924	+	19.4847i	0.770320	+	0.670295i
$846$		−	14.7716i		−	0.507858i
$847$	−14.0855	+	15.7551i	−0.483983	+	0.541352i
$848$	47.2004	+	81.7534i	1.62087	+	2.80742i
$849$	5.89076	−	3.40103i	0.202171	−	0.116723i
$850$	−3.93559	−	1.05454i	−0.134989	−	0.0361703i
$851$	0.143935	+	0.143935i	0.00493401	+	0.00493401i
$852$	−14.9400	+	55.7567i	−0.511834	+	1.91019i
$853$	15.7683	+	15.7683i	0.539896	+	0.539896i	0.923498	−	0.383603i	$-0.125317\pi$
$853$	15.7683	+	15.7683i	0.539896	+	0.539896i	−0.383603	+	0.923498i	$0.625317\pi$
$854$	24.1722	−	1.35247i	0.827157	−	0.0462804i
$855$	−11.8823	+	6.86026i	−0.406367	+	0.234616i
$856$	44.4976	−	44.4976i	1.52090	−	1.52090i
$857$	−8.97423	−	15.5438i	−0.306554	−	0.530967i	0.671052	−	0.741410i	$-0.265843\pi$
$857$	−8.97423	−	15.5438i	−0.306554	−	0.530967i	−0.977606	+	0.210443i	$0.932509\pi$
$858$	11.6162	+	10.8376i	0.396570	+	0.369990i
$859$	−49.1470	−	28.3750i	−1.67687	−	0.968144i	−0.963635	−	0.267223i	$-0.913894\pi$
$859$	−49.1470	−	28.3750i	−1.67687	−	0.968144i	−0.713239	−	0.700921i	$-0.752773\pi$
$860$	19.3685	+	5.18976i	0.660459	+	0.176969i
$861$	5.99312	+	3.02702i	0.204245	+	0.103161i
$862$	62.5361	+	36.1052i	2.12999	+	1.22975i
$863$	8.25794	−	2.21271i	0.281104	−	0.0753215i	−0.115513	−	0.993306i	$-0.536851\pi$
$863$	8.25794	−	2.21271i	0.281104	−	0.0753215i	0.396616	+	0.917985i	$0.370184\pi$
$864$	−3.55188	+	3.55188i	−0.120837	+	0.120837i
$865$	0.361115	−	0.361115i	0.0122783	−	0.0122783i
$866$	63.2333	−	16.9433i	2.14875	−	0.575757i
$867$	34.2413	+	19.7692i	1.16289	+	0.671397i
$868$	−3.95337	−	70.6575i	−0.134186	−	2.39827i
$869$	−7.26667	−	1.94710i	−0.246505	−	0.0660508i
$870$	−4.34658	−	2.50950i	−0.147363	−	0.0850799i
$871$	−2.14643	−	3.43689i	−0.0727290	−	0.116454i
$872$	12.6192	+	21.8572i	0.427341	+	0.740177i
$873$	5.44191	−	5.44191i	0.184181	−	0.184181i
$874$	0.286368	−	0.165334i	0.00968653	−	0.00559252i
$875$	25.8104	+	13.0364i	0.872549	+	0.440710i
$876$	31.1775	+	31.1775i	1.05339	+	1.05339i
$877$	7.19509	−	26.8524i	0.242961	−	0.906742i	−0.731437	−	0.681909i	$-0.761150\pi$
$877$	7.19509	−	26.8524i	0.242961	−	0.906742i	0.974397	−	0.224833i	$-0.0721835\pi$
$878$	4.44747	+	4.44747i	0.150095	+	0.150095i
$879$	20.5482	+	5.50587i	0.693073	+	0.185708i
$880$	23.5735	−	13.6102i	0.794664	−	0.458799i
$881$	−7.37078	−	12.7666i	−0.248328	−	0.430116i	0.714734	−	0.699396i	$-0.246548\pi$
$881$	−7.37078	−	12.7666i	−0.248328	−	0.430116i	−0.963062	+	0.269280i	$0.913214\pi$
$882$	−6.48565	−	16.5453i	−0.218383	−	0.557109i
$883$			16.7260i			0.562876i	0.959579	+	0.281438i	$0.0908114\pi$
$883$			16.7260i			0.562876i	−0.959579	+	0.281438i	$0.909189\pi$
$884$	−115.254	+	35.2057i	−3.87641	+	1.18409i
$885$	−11.4828	+	6.62962i	−0.385991	+	0.222852i
$886$	57.0733	−	15.2927i	1.91742	−	0.513770i
$887$			18.4088i			0.618108i	0.951045	+	0.309054i	$0.100012\pi$
$887$			18.4088i			0.618108i	−0.951045	+	0.309054i	$0.899988\pi$
$888$	−29.1471	+	50.4843i	−0.978114	+	1.69414i
$889$	−5.62378	+	6.29039i	−0.188615	+	0.210973i
$890$	−13.5828	+	3.63949i	−0.455295	+	0.121996i
$891$	1.67646	+	0.449206i	0.0561634	+	0.0150490i
$892$	−30.1473	+	112.511i	−1.00940	+	3.76715i
$893$	−34.9639			−1.17002
$894$	57.2561			1.91493
$895$	−6.42100	+	23.9635i	−0.214630	+	0.801011i
$896$	−14.9671	+	29.6330i	−0.500017	+	0.989970i
$897$	−0.0761448	−	0.0175991i	−0.00254240	−	0.000587618i
$898$	−10.4615	+	18.1198i	−0.349104	+	0.604665i
$899$	1.34847	+	5.03254i	0.0449738	+	0.167845i
$900$	0.474386	−	0.821660i	0.0158129	−	0.0273887i
$901$	51.6695	+	89.4942i	1.72136	+	2.98148i
$902$	7.90667	−	7.90667i	0.263263	−	0.263263i
$903$	−3.89677	−	3.48382i	−0.129676	−	0.115934i
$904$	7.40386	+	27.6316i	0.246249	+	0.919012i
$905$	−0.257668	−	0.961631i	−0.00856518	−	0.0319657i
$906$		−	53.1120i		−	1.76453i
$907$	−24.9889	−	14.4274i	−0.829744	−	0.479053i	0.0240212	−	0.999711i	$-0.492353\pi$
$907$	−24.9889	−	14.4274i	−0.829744	−	0.479053i	−0.853765	+	0.520659i	$0.825686\pi$
$908$	42.7872	+	42.7872i	1.41994	+	1.41994i
$909$	−4.46176			−0.147987
$910$	−55.0700	+	5.00047i	−1.82555	+	0.165764i
$911$	−13.0437			−0.432159			−0.216079	−	0.976376i	$-0.569327\pi$
$911$	−13.0437			−0.432159			−0.216079	+	0.976376i	$0.569327\pi$
$912$	29.1861	+	29.1861i	0.966449	+	0.966449i
$913$	18.3832	+	10.6135i	0.608393	+	0.351256i
$914$			14.0128i			0.463501i
$915$	−2.13005	−	7.94945i	−0.0704172	−	0.262801i
$916$	−27.9691	−	104.382i	−0.924126	−	3.44888i
$917$	21.5160	+	4.49398i	0.710521	+	0.148404i
$918$	−13.4981	+	13.4981i	−0.445503	+	0.445503i
$919$	−3.40666	−	5.90051i	−0.112375	−	0.194640i	0.804352	−	0.594153i	$-0.202513\pi$
$919$	−3.40666	−	5.90051i	−0.112375	−	0.194640i	−0.916728	+	0.399513i	$0.869179\pi$
$920$	−0.153609	+	0.266059i	−0.00506434	+	0.00877169i
$921$	−6.40041	−	23.8866i	−0.210901	−	0.787092i
$922$	−43.6113	+	75.5370i	−1.43626	+	2.48768i
$923$	−24.8016	−	39.7126i	−0.816356	−	1.30716i
$924$	−20.3799	+	1.14028i	−0.670450	+	0.0375125i
$925$	0.518783	−	1.93612i	0.0170575	−	0.0636593i
$926$	−37.3156			−1.22627
$927$	8.47314			0.278294
$928$	−1.12566	+	4.20103i	−0.0369517	+	0.137906i
$929$	4.95489	+	1.32766i	0.162565	+	0.0435590i	0.339183	−	0.940720i	$-0.389849\pi$
$929$	4.95489	+	1.32766i	0.162565	+	0.0435590i	−0.176619	+	0.984279i	$0.556516\pi$
$930$	−33.6919	+	9.02773i	−1.10480	+	0.296031i
$931$	−39.1623	+	15.3514i	−1.28349	+	0.503120i
$932$	21.2986	−	36.8902i	0.697658	−	1.20838i
$933$			3.81806i			0.124998i
$934$	52.2761	−	14.0073i	1.71053	−	0.458334i
$935$	25.8056	−	14.8989i	0.843932	−	0.487245i
$936$	−0.775599	−	22.3679i	−0.0253512	−	0.731119i
$937$		−	49.7519i		−	1.62532i	−0.582736	−	0.812662i	$-0.698018\pi$
$937$		−	49.7519i		−	1.62532i	0.582736	−	0.812662i	$-0.301982\pi$
$938$	7.38922	+	1.54336i	0.241267	+	0.0503925i
$939$	−6.42180	−	11.1229i	−0.209567	−	0.362981i
$940$	51.1432	−	29.5275i	1.66811	−	0.963082i
$941$	−55.6304	−	14.9061i	−1.81350	−	0.485926i	−0.817551	−	0.575857i	$-0.804669\pi$
$941$	−55.6304	−	14.9061i	−1.81350	−	0.485926i	−0.995948	+	0.0899311i	$0.971335\pi$
$942$	−11.7944	−	11.7944i	−0.384283	−	0.384283i
$943$	−0.0142367	+	0.0531322i	−0.000463611	+	0.00173022i
$944$	28.2049	+	28.2049i	0.917991	+	0.917991i
$945$	−5.05478	+	3.30806i	−0.164432	+	0.107611i
$946$	−7.53877	+	4.35251i	−0.245107	+	0.141512i
$947$	−11.4925	+	11.4925i	−0.373456	+	0.373456i	−0.868734	−	0.495278i	$-0.835066\pi$
$947$	−11.4925	+	11.4925i	−0.373456	+	0.373456i	0.495278	+	0.868734i	$0.335066\pi$
$948$	9.63376	+	16.6862i	0.312890	+	0.541941i
$949$	−35.7425	+	1.23935i	−1.16025	+	0.0402311i
$950$	−2.81989	−	1.62807i	−0.0914895	−	0.0528215i
$951$	−9.13383	−	2.44740i	−0.296185	−	0.0793625i
$952$	55.6747	−	110.229i	1.80443	−	3.57254i
$953$	8.84363	+	5.10587i	0.286473	+	0.165395i	0.636350	−	0.771400i	$-0.280443\pi$
$953$	8.84363	+	5.10587i	0.286473	+	0.165395i	−0.349877	+	0.936796i	$0.613777\pi$
$954$	−33.7017	+	9.03034i	−1.09113	+	0.292368i
$955$	14.2797	−	14.2797i	0.462079	−	0.462079i
$956$	−25.0803	+	25.0803i	−0.811155	+	0.811155i
$957$	1.45155	−	0.388941i	0.0469219	−	0.0125727i
$958$	−32.7144	−	18.8877i	−1.05695	−	0.610233i
$959$	−5.98439	+	11.8483i	−0.193246	+	0.382603i
$960$	2.17322	+	0.582314i	0.0701405	+	0.0187941i
$961$	4.51058	+	2.60419i	0.145503	+	0.0840060i
$962$	−25.1121	−	82.2104i	−0.809648	−	2.65057i
$963$	5.06882	+	8.77945i	0.163340	+	0.282914i
$964$	79.7635	−	79.7635i	2.56901	−	2.56901i
$965$	−17.8178	+	10.2871i	−0.573575	+	0.331154i
$966$	0.121822	−	0.0797253i	0.00391955	−	0.00256512i
$967$	13.8579	+	13.8579i	0.445641	+	0.445641i	0.893903	−	0.448261i	$-0.147957\pi$
$967$	13.8579	+	13.8579i	0.445641	+	0.445641i	−0.448261	+	0.893903i	$0.647957\pi$
$968$	12.8331	−	47.8940i	0.412473	−	1.53937i
$969$	31.9496	+	31.9496i	1.02637	+	1.02637i
$970$	43.0912	+	11.5462i	1.38357	+	0.370727i
$971$	−4.74622	+	2.74023i	−0.152313	+	0.0879381i	−0.574220	−	0.818701i	$-0.694694\pi$
$971$	−4.74622	+	2.74023i	−0.152313	+	0.0879381i	0.421906	+	0.906639i	$0.361361\pi$
$972$	−2.22256	−	3.84958i	−0.0712886	−	0.123475i
$973$	−7.03967	−	1.47035i	−0.225681	−	0.0471373i
$974$		−	36.6432i		−	1.17412i
$975$	0.224821	+	0.736002i	0.00720002	+	0.0235709i
$976$	−21.4410	+	12.3790i	−0.686309	+	0.396241i
$977$	−21.1744	+	5.67366i	−0.677428	+	0.181516i	−0.581099	−	0.813833i	$-0.697377\pi$
$977$	−21.1744	+	5.67366i	−0.677428	+	0.181516i	−0.0963296	+	0.995349i	$0.530710\pi$
$978$			61.5913i			1.96947i
$979$	2.10516	−	3.64625i	0.0672813	−	0.116535i
$980$	44.3198	−	55.5282i	1.41575	−	1.77378i
$981$	−3.92728	+	1.05231i	−0.125388	+	0.0335977i
$982$	−1.29945	−	0.348186i	−0.0414671	−	0.0111111i
$983$	−0.0251897	+	0.0940093i	−0.000803427	+	0.00299843i	−0.966326	−	0.257320i	$-0.917161\pi$
$983$	−0.0251897	+	0.0940093i	−0.000803427	+	0.00299843i	0.965523	+	0.260318i	$0.0838274\pi$
$984$	−15.7529			−0.502183
$985$	28.5471			0.909588
$986$	−4.27782	+	15.9650i	−0.136234	+	0.508431i
$987$	−15.3703	+	0.859987i	−0.489242	+	0.0273737i
$988$	−96.2504	+	3.33744i	−3.06213	+	0.106178i
$989$	0.0214114	−	0.0370856i	0.000680843	−	0.00117925i
$990$	2.60389	+	9.71785i	0.0827571	+	0.308854i
$991$	−4.71735	+	8.17068i	−0.149851	+	0.259550i	−0.931172	−	0.364579i	$-0.881213\pi$
$991$	−4.71735	+	8.17068i	−0.149851	+	0.259550i	0.781321	+	0.624129i	$0.214546\pi$
$992$	15.1129	+	26.1763i	0.479835	+	0.831098i
$993$	11.1115	−	11.1115i	0.352613	−	0.352613i
$994$	85.3811	+	17.8333i	2.70813	+	0.565637i
$995$	4.93162	+	18.4051i	0.156343	+	0.583479i
$996$	−14.0708	−	52.5131i	−0.445851	−	1.66394i
$997$		−	38.4878i		−	1.21892i	−0.792816	−	0.609461i	$-0.791386\pi$
$997$		−	38.4878i		−	1.21892i	0.792816	−	0.609461i	$-0.208614\pi$
$998$	55.8465	+	32.2430i	1.76779	+	1.02063i
$999$	−6.64042	−	6.64042i	−0.210094	−	0.210094i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.bt.a.271.1	yes	36
3.2	odd	2		819.2.et.c.271.9		36
7.3	odd	6		273.2.cg.a.115.9	yes	36
13.6	odd	12		273.2.cg.a.19.9	yes	36
21.17	even	6		819.2.gh.c.388.1		36
39.32	even	12		819.2.gh.c.19.1		36
91.45	even	12	inner	273.2.bt.a.136.1	✓	36
273.227	odd	12		819.2.et.c.136.9		36

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.bt.a.136.1	✓	36	91.45	even	12	inner
273.2.bt.a.271.1	yes	36	1.1	even	1	trivial
273.2.cg.a.19.9	yes	36	13.6	odd	12
273.2.cg.a.115.9	yes	36	7.3	odd	6
819.2.et.c.136.9		36	273.227	odd	12
819.2.et.c.271.9		36	3.2	odd	2
819.2.gh.c.19.1		36	39.32	even	12
819.2.gh.c.388.1		36	21.17	even	6

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(-1.79515 - 1.79515i) q^{2} +(0.866025 + 0.500000i) q^{3} +4.44512i q^{4} +(-0.590961 - 2.20549i) q^{5} +(-0.657070 - 2.45222i) q^{6} +(-2.51335 + 0.826467i) q^{7} +(4.38935 - 4.38935i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})\)	\(q+(-1.79515 - 1.79515i) q^{2} +(0.866025 + 0.500000i) q^{3} +4.44512i q^{4} +(-0.590961 - 2.20549i) q^{5} +(-0.657070 - 2.45222i) q^{6} +(-2.51335 + 0.826467i) q^{7} +(4.38935 - 4.38935i) q^{8} +(0.500000 + 0.866025i) q^{9} +(-2.89833 + 5.02005i) q^{10} +(-0.449206 - 1.67646i) q^{11} +(-2.22256 + 3.84958i) q^{12} +(-1.05331 - 3.44826i) q^{13} +(5.99548 + 3.02821i) q^{14} +(0.590961 - 2.20549i) q^{15} -6.86883 q^{16} -7.51920 q^{17} +(0.657070 - 2.45222i) q^{18} +(-5.80433 - 1.55527i) q^{19} +(9.80368 - 2.62689i) q^{20} +(-2.58986 - 0.540936i) q^{21} +(-2.20310 + 3.81588i) q^{22} -0.0216755i q^{23} +(5.99596 - 1.60661i) q^{24} +(-0.184846 + 0.106721i) q^{25} +(-4.29929 + 8.08100i) q^{26} +1.00000i q^{27} +(-3.67374 - 11.1722i) q^{28} +(0.432921 + 0.749842i) q^{29} +(-5.02005 + 2.89833i) q^{30} +(5.81230 + 1.55740i) q^{31} +(3.55188 + 3.55188i) q^{32} +(0.449206 - 1.67646i) q^{33} +(13.4981 + 13.4981i) q^{34} +(3.30806 + 5.05478i) q^{35} +(-3.84958 + 2.22256i) q^{36} +(-6.64042 + 6.64042i) q^{37} +(7.62770 + 13.2116i) q^{38} +(0.811936 - 3.51294i) q^{39} +(-12.2746 - 7.08675i) q^{40} +(-2.45125 - 0.656811i) q^{41} +(3.67813 + 5.62025i) q^{42} +(1.71095 + 0.987815i) q^{43} +(7.45205 - 1.99677i) q^{44} +(1.61453 - 1.61453i) q^{45} +(-0.0389108 + 0.0389108i) q^{46} +(5.62025 - 1.50594i) q^{47} +(-5.94858 - 3.43442i) q^{48} +(5.63390 - 4.15441i) q^{49} +(0.523405 + 0.140246i) q^{50} +(-6.51182 - 3.75960i) q^{51} +(15.3279 - 4.68210i) q^{52} +(-6.87167 - 11.9021i) q^{53} +(1.79515 - 1.79515i) q^{54} +(-3.43196 + 1.98144i) q^{55} +(-7.40434 + 14.6596i) q^{56} +(-4.24907 - 4.24907i) q^{57} +(0.568919 - 2.12324i) q^{58} +(-4.10621 - 4.10621i) q^{59} +(9.80368 + 2.62689i) q^{60} +(3.12149 - 1.80219i) q^{61} +(-7.63818 - 13.2297i) q^{62} +(-1.97242 - 1.76340i) q^{63} +0.985368i q^{64} +(-6.98266 + 4.36087i) q^{65} +(-3.81588 + 2.20310i) q^{66} +(1.08555 - 0.290873i) q^{67} -33.4237i q^{68} +(0.0108378 - 0.0187715i) q^{69} +(3.13562 - 15.0125i) q^{70} +(12.5434 - 3.36098i) q^{71} +(5.99596 + 1.60661i) q^{72} +(2.56726 - 9.58115i) q^{73} +23.8411 q^{74} -0.213441 q^{75} +(6.91334 - 25.8009i) q^{76} +(2.51455 + 3.84228i) q^{77} +(-7.76380 + 4.84871i) q^{78} +(2.16727 - 3.75382i) q^{79} +(4.05921 + 15.1492i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(3.22129 + 5.57944i) q^{82} +(-8.64819 + 8.64819i) q^{83} +(2.40452 - 11.5122i) q^{84} +(4.44355 + 16.5836i) q^{85} +(-1.29813 - 4.84468i) q^{86} +0.865843i q^{87} +(-9.33028 - 5.38684i) q^{88} +(1.71535 + 1.71535i) q^{89} -5.79666 q^{90} +(5.49723 + 7.79618i) q^{91} +0.0963502 q^{92} +(4.25490 + 4.25490i) q^{93} +(-12.7926 - 7.38580i) q^{94} +13.7205i q^{95} +(1.30008 + 4.85196i) q^{96} +(-1.99188 - 7.43379i) q^{97} +(-17.5715 - 2.65591i) q^{98} +(1.22725 - 1.22725i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 36 q + 6 q^{7} + 18 q^{9}+O(q^{10}) \) 36 * q + 6 * q^7 + 18 * q^9	\( 36 q + 6 q^{7} + 18 q^{9} - 8 q^{11} - 16 q^{12} + 42 q^{14} - 24 q^{16} - 8 q^{17} - 18 q^{19} + 14 q^{20} - 4 q^{21} + 4 q^{22} + 18 q^{24} + 24 q^{25} - 50 q^{26} + 34 q^{28} + 8 q^{29} + 6 q^{31} - 50 q^{32} + 8 q^{33} - 24 q^{34} + 14 q^{35} - 14 q^{37} - 8 q^{38} - 2 q^{39} - 30 q^{40} + 34 q^{41} - 18 q^{42} + 30 q^{43} + 28 q^{44} - 32 q^{46} - 10 q^{47} + 24 q^{48} + 6 q^{49} - 20 q^{50} - 24 q^{51} + 4 q^{52} - 8 q^{53} - 30 q^{55} - 92 q^{56} - 24 q^{57} + 72 q^{58} - 70 q^{59} + 14 q^{60} - 60 q^{61} - 48 q^{62} + 6 q^{63} - 44 q^{65} + 18 q^{66} - 46 q^{67} + 4 q^{69} + 80 q^{70} + 42 q^{71} + 18 q^{72} - 56 q^{73} + 40 q^{74} - 20 q^{75} + 12 q^{76} + 24 q^{77} - 16 q^{78} + 170 q^{80} - 18 q^{81} + 24 q^{82} - 60 q^{83} + 2 q^{85} + 12 q^{86} + 84 q^{88} + 64 q^{89} - 86 q^{91} - 100 q^{92} + 12 q^{93} - 66 q^{94} + 46 q^{96} + 36 q^{97} - 22 q^{98} - 4 q^{99}+O(q^{100}) \) 36 * q + 6 * q^7 + 18 * q^9 - 8 * q^11 - 16 * q^12 + 42 * q^14 - 24 * q^16 - 8 * q^17 - 18 * q^19 + 14 * q^20 - 4 * q^21 + 4 * q^22 + 18 * q^24 + 24 * q^25 - 50 * q^26 + 34 * q^28 + 8 * q^29 + 6 * q^31 - 50 * q^32 + 8 * q^33 - 24 * q^34 + 14 * q^35 - 14 * q^37 - 8 * q^38 - 2 * q^39 - 30 * q^40 + 34 * q^41 - 18 * q^42 + 30 * q^43 + 28 * q^44 - 32 * q^46 - 10 * q^47 + 24 * q^48 + 6 * q^49 - 20 * q^50 - 24 * q^51 + 4 * q^52 - 8 * q^53 - 30 * q^55 - 92 * q^56 - 24 * q^57 + 72 * q^58 - 70 * q^59 + 14 * q^60 - 60 * q^61 - 48 * q^62 + 6 * q^63 - 44 * q^65 + 18 * q^66 - 46 * q^67 + 4 * q^69 + 80 * q^70 + 42 * q^71 + 18 * q^72 - 56 * q^73 + 40 * q^74 - 20 * q^75 + 12 * q^76 + 24 * q^77 - 16 * q^78 + 170 * q^80 - 18 * q^81 + 24 * q^82 - 60 * q^83 + 2 * q^85 + 12 * q^86 + 84 * q^88 + 64 * q^89 - 86 * q^91 - 100 * q^92 + 12 * q^93 - 66 * q^94 + 46 * q^96 + 36 * q^97 - 22 * q^98 - 4 * q^99

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