LMFDB - Embedded newform 294.2.p.a.101.17

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [294,2,Mod(5,294)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(294, base_ring=CyclotomicField(42))

chi = DirichletCharacter(H, H._module([21, 29]))

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

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

chi := DirichletCharacter("294.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 294 = 2 \cdot 3 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	294.p (of order $42$, degree $12$, 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:	$2.34760181943$
Analytic rank:	$0$
Dimension:	$216$
Relative dimension:	$18$ over $\Q(\zeta_{42})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label			101.17
Character	$\chi$	$=$	294.101
Dual form			294.2.p.a.131.17

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.930874 + 0.365341i) q^{2} +(1.34504 - 1.09126i) q^{3} +(0.733052 + 0.680173i) q^{4} +(-3.54865 - 2.41943i) q^{5} +(1.65075 - 0.524428i) q^{6} +(0.973606 - 2.46010i) q^{7} +(0.433884 + 0.900969i) q^{8} +(0.618290 - 2.93559i) q^{9} +O(q^{10})$	\(q+(0.930874 + 0.365341i) q^{2} +(1.34504 - 1.09126i) q^{3} +(0.733052 + 0.680173i) q^{4} +(-3.54865 - 2.41943i) q^{5} +(1.65075 - 0.524428i) q^{6} +(0.973606 - 2.46010i) q^{7} +(0.433884 + 0.900969i) q^{8} +(0.618290 - 2.93559i) q^{9} +(-2.41943 - 3.54865i) q^{10} +(0.317715 + 2.10790i) q^{11} +(1.72823 + 0.114910i) q^{12} +(0.621265 - 0.495442i) q^{13} +(1.80508 - 1.93434i) q^{14} +(-7.41334 + 0.618272i) q^{15} +(0.0747301 + 0.997204i) q^{16} +(7.16980 + 2.21159i) q^{17} +(1.64804 - 2.50678i) q^{18} +(-1.88590 + 1.08882i) q^{19} +(-0.955716 - 4.18727i) q^{20} +(-1.37507 - 4.37140i) q^{21} +(-0.474351 + 2.07827i) q^{22} +(1.36709 + 4.43198i) q^{23} +(1.56679 + 0.738362i) q^{24} +(4.91260 + 12.5171i) q^{25} +(0.759325 - 0.234221i) q^{26} +(-2.37188 - 4.62322i) q^{27} +(2.38700 - 1.14116i) q^{28} +(-6.59656 + 1.50562i) q^{29} +(-7.12676 - 2.13286i) q^{30} +(-2.56508 - 1.48095i) q^{31} +(-0.294755 + 0.955573i) q^{32} +(2.72762 + 2.48851i) q^{33} +(5.86620 + 4.67814i) q^{34} +(-9.40704 + 6.37447i) q^{35} +(2.44995 - 1.73140i) q^{36} +(0.202597 - 0.187982i) q^{37} +(-2.15333 + 0.324562i) q^{38} +(0.294971 - 1.34436i) q^{39} +(0.640129 - 4.24698i) q^{40} +(5.29054 - 2.54779i) q^{41} +(0.317034 - 4.57160i) q^{42} +(4.05103 + 1.95087i) q^{43} +(-1.20084 + 1.76130i) q^{44} +(-9.29657 + 8.92150i) q^{45} +(-0.346601 + 4.62507i) q^{46} +(-0.177155 + 0.451384i) q^{47} +(1.18873 + 1.25973i) q^{48} +(-5.10418 - 4.79034i) q^{49} +13.4466i q^{50} +(12.0571 - 4.84945i) q^{51} +(0.792406 + 0.0593826i) q^{52} +(3.48875 - 3.75998i) q^{53} +(-0.518867 - 5.17018i) q^{54} +(3.97247 - 8.24891i) q^{55} +(2.63891 - 0.190209i) q^{56} +(-1.34842 + 3.52253i) q^{57} +(-6.69063 - 1.00845i) q^{58} +(3.31847 - 2.26250i) q^{59} +(-5.85489 - 4.58912i) q^{60} +(-1.09591 - 1.18111i) q^{61} +(-1.84671 - 2.31570i) q^{62} +(-6.61989 - 4.37917i) q^{63} +(-0.623490 + 0.781831i) q^{64} +(-3.40334 + 0.255045i) q^{65} +(1.62991 + 3.31300i) q^{66} +(2.16774 - 3.75463i) q^{67} +(3.75157 + 6.49792i) q^{68} +(6.67525 + 4.46936i) q^{69} +(-11.0856 + 2.49705i) q^{70} +(2.36896 + 0.540700i) q^{71} +(2.91315 - 0.716647i) q^{72} +(-11.5240 + 4.52283i) q^{73} +(0.257269 - 0.100971i) q^{74} +(20.2671 + 11.4751i) q^{75} +(-2.12305 - 0.484572i) q^{76} +(5.49498 + 1.27066i) q^{77} +(0.765729 - 1.14366i) q^{78} +(5.04725 + 8.74209i) q^{79} +(2.14748 - 3.71954i) q^{80} +(-8.23544 - 3.63010i) q^{81} +(5.85564 - 0.438819i) q^{82} +(-7.49318 + 9.39615i) q^{83} +(1.96531 - 4.13975i) q^{84} +(-20.0924 - 25.1950i) q^{85} +(3.05827 + 3.29603i) q^{86} +(-7.22963 + 9.22370i) q^{87} +(-1.76130 + 1.20084i) q^{88} +(-5.32870 - 0.803172i) q^{89} +(-11.9133 + 4.90837i) q^{90} +(-0.613970 - 2.01074i) q^{91} +(-2.01237 + 4.17873i) q^{92} +(-5.06625 + 0.807233i) q^{93} +(-0.329818 + 0.355460i) q^{94} +(9.32674 + 0.698943i) q^{95} +(0.646322 + 1.60694i) q^{96} +3.52435i q^{97} +(-3.00124 - 6.32397i) q^{98} +(6.38439 + 0.370612i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 216 q - 18 q^{4} + 14 q^{6} + 10 q^{7} + 16 q^{9}+O(q^{10}) $ 216 * q - 18 * q^4 + 14 * q^6 + 10 * q^7 + 16 * q^9	$ 216 q - 18 q^{4} + 14 q^{6} + 10 q^{7} + 16 q^{9} + 6 q^{10} - 12 q^{15} + 18 q^{16} - 4 q^{18} - 12 q^{19} + 10 q^{22} - 6 q^{24} + 16 q^{25} - 42 q^{27} + 2 q^{28} + 4 q^{30} + 6 q^{31} + 18 q^{33} - 10 q^{36} - 36 q^{37} + 4 q^{39} - 22 q^{40} + 20 q^{42} + 40 q^{43} - 14 q^{45} - 156 q^{46} - 134 q^{49} - 12 q^{51} + 16 q^{52} - 18 q^{54} - 322 q^{55} - 34 q^{57} - 164 q^{58} - 6 q^{60} + 56 q^{61} - 24 q^{63} + 36 q^{64} - 28 q^{69} - 4 q^{70} + 4 q^{72} - 24 q^{73} + 84 q^{75} + 16 q^{78} + 22 q^{79} - 52 q^{81} + 24 q^{82} + 42 q^{84} + 32 q^{85} - 94 q^{87} - 2 q^{88} + 42 q^{90} - 100 q^{91} - 266 q^{93} - 88 q^{94} - 6 q^{96} + 224 q^{99}+O(q^{100}) $ 216 * q - 18 * q^4 + 14 * q^6 + 10 * q^7 + 16 * q^9 + 6 * q^10 - 12 * q^15 + 18 * q^16 - 4 * q^18 - 12 * q^19 + 10 * q^22 - 6 * q^24 + 16 * q^25 - 42 * q^27 + 2 * q^28 + 4 * q^30 + 6 * q^31 + 18 * q^33 - 10 * q^36 - 36 * q^37 + 4 * q^39 - 22 * q^40 + 20 * q^42 + 40 * q^43 - 14 * q^45 - 156 * q^46 - 134 * q^49 - 12 * q^51 + 16 * q^52 - 18 * q^54 - 322 * q^55 - 34 * q^57 - 164 * q^58 - 6 * q^60 + 56 * q^61 - 24 * q^63 + 36 * q^64 - 28 * q^69 - 4 * q^70 + 4 * q^72 - 24 * q^73 + 84 * q^75 + 16 * q^78 + 22 * q^79 - 52 * q^81 + 24 * q^82 + 42 * q^84 + 32 * q^85 - 94 * q^87 - 2 * q^88 + 42 * q^90 - 100 * q^91 - 266 * q^93 - 88 * q^94 - 6 * q^96 + 224 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/294\mathbb{Z}\right)^\times$.

$n$	$197$	$199$
$\chi(n)$	$-1$	$e\left(\frac{1}{42}\right)$

Coefficient data

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

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

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

$2$	0.930874	+	0.365341i	0.658227	+	0.258335i
$2$	0.930874	+	0.365341i	0.658227	+	0.258335i
$3$	1.34504	−	1.09126i	0.776562	−	0.630041i
$3$	1.34504	−	1.09126i	0.776562	−	0.630041i
$4$	0.733052	+	0.680173i	0.366526	+	0.340086i
$5$	−3.54865	−	2.41943i	−1.58701	−	1.08200i	−0.950497	−	0.310734i	$-0.899425\pi$
$5$	−3.54865	−	2.41943i	−1.58701	−	1.08200i	−0.636510	−	0.771269i	$-0.719623\pi$
$6$	1.65075	−	0.524428i	0.673916	−	0.214097i
$7$	0.973606	−	2.46010i	0.367989	−	0.929830i
$7$	0.973606	−	2.46010i	0.367989	−	0.929830i
$8$	0.433884	+	0.900969i	0.153401	+	0.318541i
$9$	0.618290	−	2.93559i	0.206097	−	0.978532i
$10$	−2.41943	−	3.54865i	−0.765092	−	1.12218i
$11$	0.317715	+	2.10790i	0.0957948	+	0.635557i	0.984275	+	0.176642i	$0.0565235\pi$
$11$	0.317715	+	2.10790i	0.0957948	+	0.635557i	−0.888480	+	0.458915i	$0.848238\pi$
$12$	1.72823	+	0.114910i	0.498898	+	0.0331717i
$13$	0.621265	−	0.495442i	0.172308	−	0.137411i	−0.533539	−	0.845776i	$-0.679138\pi$
$13$	0.621265	−	0.495442i	0.172308	−	0.137411i	0.705847	+	0.708365i	$0.250567\pi$
$14$	1.80508	−	1.93434i	0.482428	−	0.516975i
$15$	−7.41334	+	0.618272i	−1.91411	+	0.159637i
$16$	0.0747301	+	0.997204i	0.0186825	+	0.249301i
$17$	7.16980	+	2.21159i	1.73893	+	0.536390i	0.991745	−	0.128223i	$-0.0409275\pi$
$17$	7.16980	+	2.21159i	1.73893	+	0.536390i	0.747188	+	0.664613i	$0.231404\pi$
$18$	1.64804	−	2.50678i	0.388447	−	0.590854i
$19$	−1.88590	+	1.08882i	−0.432655	+	0.249793i	−0.700477	−	0.713675i	$-0.747029\pi$
$19$	−1.88590	+	1.08882i	−0.432655	+	0.249793i	0.267822	+	0.963468i	$0.413696\pi$
$20$	−0.955716	−	4.18727i	−0.213705	−	0.936301i
$21$	−1.37507	−	4.37140i	−0.300065	−	0.953919i
$22$	−0.474351	+	2.07827i	−0.101132	+	0.443088i
$23$	1.36709	+	4.43198i	0.285057	+	0.924132i	0.978958	+	0.204062i	$0.0654143\pi$
$23$	1.36709	+	4.43198i	0.285057	+	0.924132i	−0.693901	+	0.720070i	$0.744110\pi$
$24$	1.56679	+	0.738362i	0.319819	+	0.150718i
$25$	4.91260	+	12.5171i	0.982519	+	2.50342i
$26$	0.759325	−	0.234221i	0.148916	−	0.0459345i
$27$	−2.37188	−	4.62322i	−0.456468	−	0.889740i
$28$	2.38700	−	1.14116i	0.451100	−	0.215659i
$29$	−6.59656	+	1.50562i	−1.22495	+	0.279587i	−0.785603	−	0.618731i	$-0.787647\pi$
$29$	−6.59656	+	1.50562i	−1.22495	+	0.279587i	−0.439347	+	0.898318i	$0.644790\pi$
$30$	−7.12676	−	2.13286i	−1.30116	−	0.389406i
$31$	−2.56508	−	1.48095i	−0.460702	−	0.265986i	0.251638	−	0.967822i	$-0.419031\pi$
$31$	−2.56508	−	1.48095i	−0.460702	−	0.265986i	−0.712339	+	0.701835i	$0.752364\pi$
$32$	−0.294755	+	0.955573i	−0.0521058	+	0.168923i
$33$	2.72762	+	2.48851i	0.474817	+	0.433195i
$34$	5.86620	+	4.67814i	1.00604	+	0.802294i
$35$	−9.40704	+	6.37447i	−1.59008	+	1.07748i
$36$	2.44995	−	1.73140i	0.408325	−	0.288567i
$37$	0.202597	−	0.187982i	0.0333067	−	0.0309041i	−0.663344	−	0.748315i	$-0.730863\pi$
$37$	0.202597	−	0.187982i	0.0333067	−	0.0309041i	0.696651	+	0.717411i	$0.254673\pi$
$38$	−2.15333	+	0.324562i	−0.349316	+	0.0526509i
$39$	0.294971	−	1.34436i	0.0472332	−	0.215269i
$40$	0.640129	−	4.24698i	0.101213	−	0.671506i
$41$	5.29054	−	2.54779i	0.826244	−	0.397898i	0.0275387	−	0.999621i	$-0.491233\pi$
$41$	5.29054	−	2.54779i	0.826244	−	0.397898i	0.798705	+	0.601723i	$0.205519\pi$
$42$	0.317034	−	4.57160i	0.0489195	−	0.705413i
$43$	4.05103	+	1.95087i	0.617777	+	0.297506i	0.716476	−	0.697612i	$-0.245754\pi$
$43$	4.05103	+	1.95087i	0.617777	+	0.297506i	−0.0986993	+	0.995117i	$0.531468\pi$
$44$	−1.20084	+	1.76130i	−0.181033	+	0.265527i
$45$	−9.29657	+	8.92150i	−1.38585	+	1.32994i
$46$	−0.346601	+	4.62507i	−0.0511035	+	0.681929i
$47$	−0.177155	+	0.451384i	−0.0258408	+	0.0658412i	−0.943212	−	0.332192i	$-0.892212\pi$
$47$	−0.177155	+	0.451384i	−0.0258408	+	0.0658412i	0.917371	+	0.398033i	$0.130307\pi$
$48$	1.18873	+	1.25973i	0.171578	+	0.181827i
$49$	−5.10418	−	4.79034i	−0.729169	−	0.684334i
$50$			13.4466i			1.90164i
$51$	12.0571	−	4.84945i	1.68834	−	0.679059i
$52$	0.792406	+	0.0593826i	0.109887	+	0.00823489i
$53$	3.48875	−	3.75998i	0.479217	−	0.516473i	−0.446452	−	0.894808i	$-0.647313\pi$
$53$	3.48875	−	3.75998i	0.479217	−	0.516473i	0.925669	+	0.378334i	$0.123503\pi$
$54$	−0.518867	−	5.17018i	−0.0706088	−	0.703573i
$55$	3.97247	−	8.24891i	0.535647	−	1.11228i
$56$	2.63891	−	0.190209i	0.352639	−	0.0254177i
$57$	−1.34842	+	3.52253i	−0.178603	+	0.466570i
$58$	−6.69063	−	1.00845i	−0.878522	−	0.132416i
$59$	3.31847	−	2.26250i	0.432028	−	0.294552i	−0.327713	−	0.944777i	$-0.606278\pi$
$59$	3.31847	−	2.26250i	0.432028	−	0.294552i	0.759741	+	0.650225i	$0.225326\pi$
$60$	−5.85489	−	4.58912i	−0.755863	−	0.592453i
$61$	−1.09591	−	1.18111i	−0.140316	−	0.151225i	0.658984	−	0.752157i	$-0.270987\pi$
$61$	−1.09591	−	1.18111i	−0.140316	−	0.151225i	−0.799300	+	0.600932i	$0.794796\pi$
$62$	−1.84671	−	2.31570i	−0.234533	−	0.294095i
$63$	−6.61989	−	4.37917i	−0.834027	−	0.551723i
$64$	−0.623490	+	0.781831i	−0.0779362	+	0.0977289i
$65$	−3.40334	+	0.255045i	−0.422133	+	0.0316345i
$66$	1.62991	+	3.31300i	0.200628	+	0.407802i
$67$	2.16774	−	3.75463i	0.264831	−	0.458701i	−0.702688	−	0.711498i	$-0.748017\pi$
$67$	2.16774	−	3.75463i	0.264831	−	0.458701i	0.967519	+	0.252797i	$0.0813505\pi$
$68$	3.75157	+	6.49792i	0.454945	+	0.787988i
$69$	6.67525	+	4.46936i	0.803605	+	0.538048i
$70$	−11.0856	+	2.49705i	−1.32498	+	0.298455i
$71$	2.36896	+	0.540700i	0.281144	+	0.0641693i	0.360768	−	0.932656i	$-0.382515\pi$
$71$	2.36896	+	0.540700i	0.281144	+	0.0641693i	−0.0796237	+	0.996825i	$0.525372\pi$
$72$	2.91315	−	0.716647i	0.343317	−	0.0844577i
$73$	−11.5240	+	4.52283i	−1.34878	+	0.529357i	−0.926222	−	0.376978i	$-0.876963\pi$
$73$	−11.5240	+	4.52283i	−1.34878	+	0.529357i	−0.422558	+	0.906336i	$0.638868\pi$
$74$	0.257269	−	0.100971i	0.0299070	−	0.0117376i
$75$	20.2671	+	11.4751i	2.34024	+	1.32503i
$76$	−2.12305	−	0.484572i	−0.243531	−	0.0555843i
$77$	5.49498	+	1.27066i	0.626211	+	0.144805i
$78$	0.765729	−	1.14366i	0.0867018	−	0.129494i
$79$	5.04725	+	8.74209i	0.567860	+	0.983562i	0.996777	+	0.0802183i	$0.0255617\pi$
$79$	5.04725	+	8.74209i	0.567860	+	0.983562i	−0.428918	+	0.903344i	$0.641105\pi$
$80$	2.14748	−	3.71954i	0.240095	−	0.415857i
$81$	−8.23544	−	3.63010i	−0.915048	−	0.403344i
$82$	5.85564	−	0.438819i	0.646647	−	0.0484595i
$83$	−7.49318	+	9.39615i	−0.822483	+	1.03136i	0.176409	+	0.984317i	$0.443552\pi$
$83$	−7.49318	+	9.39615i	−0.822483	+	1.03136i	−0.998893	+	0.0470446i	$0.985020\pi$
$84$	1.96531	−	4.13975i	0.214433	−	0.451684i
$85$	−20.0924	−	25.1950i	−2.17932	−	2.73278i
$86$	3.05827	+	3.29603i	0.329781	+	0.355420i
$87$	−7.22963	+	9.22370i	−0.775098	+	0.988885i
$88$	−1.76130	+	1.20084i	−0.187756	+	0.128010i
$89$	−5.32870	−	0.803172i	−0.564841	−	0.0851361i	−0.139586	−	0.990210i	$-0.544577\pi$
$89$	−5.32870	−	0.803172i	−0.564841	−	0.0851361i	−0.425254	+	0.905074i	$0.639815\pi$
$90$	−11.9133	+	4.90837i	−1.25577	+	0.517388i
$91$	−0.613970	−	2.01074i	−0.0643616	−	0.210783i
$92$	−2.01237	+	4.17873i	−0.209804	+	0.435662i
$93$	−5.06625	+	0.807233i	−0.525346	+	0.0837062i
$94$	−0.329818	+	0.355460i	−0.0340182	+	0.0366629i
$95$	9.32674	+	0.698943i	0.956903	+	0.0717100i
$96$	0.646322	+	1.60694i	0.0659650	+	0.164008i
$97$			3.52435i			0.357843i	0.983863	+	0.178922i	$0.0572609\pi$
$97$			3.52435i			0.357843i	−0.983863	+	0.178922i	$0.942739\pi$
$98$	−3.00124	−	6.32397i	−0.303171	−	0.638817i
$99$	6.38439	+	0.370612i	0.641655	+	0.0372479i
$100$	−4.91260	+	12.5171i	−0.491260	+	1.25171i
$101$	−0.757883	+	10.1132i	−0.0754122	+	1.00631i	0.823254	+	0.567673i	$0.192156\pi$
$101$	−0.757883	+	10.1132i	−0.0754122	+	1.00631i	−0.898666	+	0.438633i	$0.855463\pi$
$102$	12.9954	−	0.109263i	1.28673	−	0.0108186i
$103$	6.02715	−	8.84021i	0.593873	−	0.871051i	−0.405195	−	0.914231i	$-0.632796\pi$
$103$	6.02715	−	8.84021i	0.593873	−	0.871051i	0.999067	+	0.0431790i	$0.0137486\pi$
$104$	0.715935	+	0.344776i	0.0702032	+	0.0338081i
$105$	−5.69666	+	18.8395i	−0.555937	+	1.83855i
$106$	4.62127	−	2.22548i	0.448857	−	0.216158i
$107$	−2.43726	+	16.1702i	−0.235619	+	1.56323i	0.487883	+	0.872909i	$0.337769\pi$
$107$	−2.43726	+	16.1702i	−0.235619	+	1.56323i	−0.723503	+	0.690322i	$0.757469\pi$
$108$	1.40588	−	5.00235i	0.135281	−	0.481351i
$109$	−10.0284	+	1.51153i	−0.960544	+	0.144779i	−0.610554	−	0.791975i	$-0.709053\pi$
$109$	−10.0284	+	1.51153i	−0.960544	+	0.144779i	−0.349990	+	0.936753i	$0.613815\pi$
$110$	6.71153	−	6.22739i	0.639919	−	0.593758i
$111$	0.0673635	−	0.473931i	0.00639386	−	0.0449835i
$112$	2.52598	+	0.787040i	0.238683	+	0.0743683i
$113$	−11.2101	−	8.93972i	−1.05455	−	0.840978i	−0.0669201	−	0.997758i	$-0.521317\pi$
$113$	−11.2101	−	8.93972i	−1.05455	−	0.840978i	−0.987634	+	0.156780i	$0.949889\pi$
$114$	−2.54214	+	2.78639i	−0.238093	+	0.260970i
$115$	5.87156	−	19.0351i	0.547526	−	1.77504i
$116$	−5.85970	−	3.38310i	−0.544059	−	0.314113i
$117$	−1.07030	−	2.13011i	−0.0989489	−	0.196929i
$118$	3.91566	−	0.893725i	0.360466	−	0.0822740i
$119$	12.4213	−	15.4852i	1.13866	−	1.41953i
$120$	−3.77357	−	6.41093i	−0.344478	−	0.585235i
$121$	6.16899	−	1.90288i	0.560817	−	0.172989i
$122$	−0.588643	−	1.49984i	−0.0532933	−	0.135789i
$123$	4.33570	−	9.20026i	0.390937	−	0.829560i
$124$	−0.873035	−	2.83031i	−0.0784008	−	0.254169i
$125$	8.07256	−	35.3682i	0.722031	−	3.16343i
$126$	−4.56239	−	6.49497i	−0.406450	−	0.578618i
$127$	−1.33628	−	5.85462i	−0.118576	−	0.519514i	−0.998974	−	0.0452795i	$-0.985582\pi$
$127$	−1.33628	−	5.85462i	−0.118576	−	0.519514i	0.880399	−	0.474234i	$-0.157275\pi$
$128$	−0.866025	+	0.500000i	−0.0765466	+	0.0441942i
$129$	7.57774	−	1.79673i	0.667183	−	0.158193i
$130$	−3.26126	−	1.00597i	−0.286032	−	0.0882291i
$131$	−0.768960	−	10.2611i	−0.0671844	−	0.896513i	−0.924368	−	0.381502i	$-0.875407\pi$
$131$	−0.768960	−	10.2611i	−0.0671844	−	0.896513i	0.857184	−	0.515011i	$-0.172212\pi$
$132$	0.306867	+	3.67946i	0.0267094	+	0.320256i
$133$	0.842494	+	5.69959i	0.0730535	+	0.494217i
$134$	3.38961	−	2.70312i	0.292818	−	0.233514i
$135$	−2.76859	+	22.1448i	−0.238283	+	1.90592i
$136$	1.11829	+	7.41934i	0.0958922	+	0.636203i
$137$	5.00058	+	7.33450i	0.427228	+	0.626629i	0.978143	−	0.207933i	$-0.0666734\pi$
$137$	5.00058	+	7.33450i	0.427228	+	0.626629i	−0.550915	+	0.834562i	$0.685721\pi$
$138$	4.58097	+	6.59915i	0.389958	+	0.561757i
$139$	−0.362567	−	0.752879i	−0.0307526	−	0.0638583i	0.885027	−	0.465540i	$-0.154140\pi$
$139$	−0.362567	−	0.752879i	−0.0307526	−	0.0638583i	−0.915779	+	0.401682i	$0.868426\pi$
$140$	−11.2316	−	1.72559i	−0.949242	−	0.145839i
$141$	0.254297	+	0.800455i	0.0214157	+	0.0674105i
$142$	2.00766	+	1.36880i	0.168479	+	0.114867i
$143$	1.24173	+	1.15216i	0.103839	+	0.0963482i
$144$	2.97359	+	0.397184i	0.247799	+	0.0330986i
$145$	27.0516	+	10.6170i	2.24652	+	0.881693i
$146$	−12.3798			−1.02456
$147$	−12.0929	−	0.873210i	−0.997403	−	0.0720212i
$148$	0.276374			0.0227178
$149$	−13.6849	−	5.37091i	−1.12111	−	0.440002i	−0.268880	−	0.963174i	$-0.586653\pi$
$149$	−13.6849	−	5.37091i	−1.12111	−	0.440002i	−0.852227	+	0.523172i	$0.824749\pi$
$150$	14.6738	+	18.0863i	1.19811	+	1.47674i
$151$	10.0019	+	9.28042i	0.813945	+	0.755230i	0.972695	−	0.232089i	$-0.0745559\pi$
$151$	10.0019	+	9.28042i	0.813945	+	0.755230i	−0.158750	+	0.987319i	$0.550746\pi$
$152$	−1.79926	−	1.22671i	−0.145939	−	0.0994996i
$153$	10.9254	−	19.6802i	0.883263	−	1.59105i
$154$	4.65091	+	3.19036i	0.374781	+	0.257087i
$155$	5.51952	+	11.4614i	0.443339	+	0.920602i
$156$	1.13062	−	0.784851i	0.0905223	−	0.0628384i
$157$	11.6510	+	17.0890i	0.929855	+	1.36385i	0.931458	+	0.363848i	$0.118537\pi$
$157$	11.6510	+	17.0890i	0.929855	+	1.36385i	−0.00160328	+	0.999999i	$0.500510\pi$
$158$	1.50451	+	9.98175i	0.119692	+	0.794105i
$159$	0.589400	−	8.86449i	0.0467424	−	0.703000i
$160$	3.35793	−	2.67786i	0.265467	−	0.211703i
$161$	12.2341	+	0.951838i	0.964184	+	0.0750153i
$162$	−6.33993	−	6.38790i	−0.498112	−	0.501881i
$163$	−1.24505	−	16.6140i	−0.0975199	−	1.30131i	−0.804446	−	0.594025i	$-0.797538\pi$
$163$	−1.24505	−	16.6140i	−0.0975199	−	1.30131i	0.706926	−	0.707287i	$-0.250081\pi$
$164$	5.61118	+	1.73082i	0.438159	+	0.135154i
$165$	−3.65859	−	15.4302i	−0.284821	−	1.20124i
$166$	−10.4080	+	6.00906i	−0.807818	+	0.466394i
$167$	0.101616	+	0.445209i	0.00786328	+	0.0344513i	0.978707	−	0.205261i	$-0.0658042\pi$
$167$	0.101616	+	0.445209i	0.00786328	+	0.0344513i	−0.970844	+	0.239712i	$0.922947\pi$
$168$	3.34188	−	3.13558i	0.257831	−	0.241915i
$169$	−2.75226	+	12.0585i	−0.211713	+	0.927574i
$170$	−9.49868	−	30.7940i	−0.728515	−	2.36179i
$171$	2.03031	+	6.20944i	0.155262	+	0.474848i
$172$	1.64269	+	4.18549i	0.125254	+	0.319141i
$173$	−13.6910	+	4.22311i	−1.04091	+	0.321077i	−0.767654	−	0.640865i	$-0.778576\pi$
$173$	−13.6910	+	4.22311i	−1.04091	+	0.321077i	−0.273253	+	0.961942i	$0.588100\pi$
$174$	−10.0997	+	5.94482i	−0.765654	+	0.450676i
$175$	35.5762	+	0.101239i	2.68931	+	0.00765292i
$176$	−2.07827	+	0.474351i	−0.156655	+	0.0357555i
$177$	1.99452	−	6.66449i	0.149917	−	0.500934i
$178$	−4.66691	−	2.69444i	−0.349800	−	0.201957i
$179$	−0.155417	+	0.503851i	−0.0116164	+	0.0376596i	−0.961195	−	0.275868i	$-0.911035\pi$
$179$	−0.155417	+	0.503851i	−0.0116164	+	0.0376596i	0.949579	+	0.313528i	$0.101511\pi$
$180$	−12.8830	+	0.216652i	−0.960244	+	0.0161483i
$181$	−3.79228	−	3.02424i	−0.281878	−	0.224790i	0.472337	−	0.881418i	$-0.343411\pi$
$181$	−3.79228	−	3.02424i	−0.281878	−	0.224790i	−0.754215	+	0.656628i	$0.771982\pi$
$182$	0.163077	−	2.09605i	0.0120881	−	0.155370i
$183$	−2.76294	−	0.392718i	−0.204242	−	0.0290305i
$184$	−3.39992	+	3.15467i	−0.250646	+	0.232565i
$185$	−1.17376	+	0.176915i	−0.0862962	+	0.0130071i
$186$	−5.01095	−	1.09948i	−0.367421	−	0.0806175i
$187$	−2.38387	+	15.8159i	−0.174325	+	1.15657i
$188$	−0.436883	+	0.210392i	−0.0318630	+	0.0153444i
$189$	−13.6829	+	1.33386i	−0.995282	+	0.0970241i
$190$	8.42667	+	4.05807i	0.611335	+	0.294403i
$191$	11.3854	−	16.6993i	0.823817	−	1.20832i	−0.151707	−	0.988425i	$-0.548477\pi$
$191$	11.3854	−	16.6993i	0.823817	−	1.20832i	0.975524	−	0.219892i	$-0.0705705\pi$
$192$	0.0145622	+	1.73199i	0.00105094	+	0.124996i
$193$	1.62511	−	21.6856i	0.116978	−	1.56097i	−0.562205	−	0.826998i	$-0.690047\pi$
$193$	1.62511	−	21.6856i	0.116978	−	1.56097i	0.679184	−	0.733969i	$-0.262334\pi$
$194$	−1.28759	+	3.28072i	−0.0924435	+	0.235542i
$195$	−4.29933	+	4.05699i	−0.307881	+	0.290527i
$196$	−0.483374	−	6.98329i	−0.0345267	−	0.498806i
$197$		−	3.97989i		−	0.283555i	−0.989899	−	0.141778i	$-0.954718\pi$
$197$		−	3.97989i		−	0.283555i	0.989899	−	0.141778i	$-0.0452818\pi$
$198$	5.80766	+	2.67747i	0.412733	+	0.190280i
$199$	−7.52324	−	0.563789i	−0.533309	−	0.0399660i	−0.194646	−	0.980874i	$-0.562356\pi$
$199$	−7.52324	−	0.563789i	−0.533309	−	0.0399660i	−0.338663	+	0.940908i	$0.609975\pi$
$200$	−9.14601	+	9.85706i	−0.646721	+	0.696999i
$201$	−1.18159	−	7.41571i	−0.0833427	−	0.523064i
$202$	−4.40028	+	9.13727i	−0.309602	+	0.642896i
$203$	−2.71847	+	17.6941i	−0.190799	+	1.24188i
$204$	12.1370	+	4.64603i	0.849758	+	0.325287i
$205$	−24.9385	−	3.75888i	−1.74178	−	0.262531i
$206$	8.84021	−	6.02715i	0.615926	−	0.419932i
$207$	13.8558	−	1.27296i	0.963042	−	0.0884768i
$208$	0.540484	+	0.582504i	0.0374758	+	0.0403894i
$209$	−2.89432	−	3.62936i	−0.200204	−	0.251048i
$210$	−12.1857	+	15.4560i	−0.840894	+	1.06656i
$211$	1.21865	−	1.52813i	0.0838951	−	0.105201i	−0.738112	−	0.674678i	$-0.764283\pi$
$211$	1.21865	−	1.52813i	0.0838951	−	0.105201i	0.822008	+	0.569477i	$0.192854\pi$
$212$	5.11488	−	0.383307i	0.351291	−	0.0263256i
$213$	3.77640	−	1.85789i	0.258755	−	0.127301i
$214$	−8.17641	+	14.1620i	−0.558928	+	0.968092i
$215$	−9.65571	−	16.7242i	−0.658514	−	1.14058i
$216$	3.13626	−	4.14293i	0.213395	−	0.281891i
$217$	−6.14066	+	4.86849i	−0.416855	+	0.330495i
$218$	−9.88738	−	2.25673i	−0.669658	−	0.152845i
$219$	−10.5647	+	18.6591i	−0.713895	+	1.26087i
$220$	8.52271	−	3.34492i	0.574601	−	0.225514i
$221$	5.55007	−	2.17824i	0.373338	−	0.146524i
$222$	0.235853	−	0.416559i	0.0158294	−	0.0279576i
$223$	−15.2598	−	3.48296i	−1.02187	−	0.233236i	−0.321422	−	0.946936i	$-0.604161\pi$
$223$	−15.2598	−	3.48296i	−1.02187	−	0.233236i	−0.700452	+	0.713700i	$0.747018\pi$
$224$	2.06383	+	1.65548i	0.137895	+	0.110611i
$225$	39.7825	−	6.68220i	2.65217	−	0.445480i
$226$	−7.16910	−	12.4172i	−0.476882	−	0.825983i
$227$	10.1623	−	17.6016i	0.674495	−	1.16826i	−0.302121	−	0.953270i	$-0.597695\pi$
$227$	10.1623	−	17.6016i	0.674495	−	1.16826i	0.976616	−	0.214991i	$-0.0689721\pi$
$228$	−3.38439	+	1.66503i	−0.224137	+	0.110270i
$229$	−26.9012	+	2.01597i	−1.77768	+	0.133219i	−0.922720	−	0.385471i	$-0.874039\pi$
$229$	−26.9012	+	2.01597i	−1.77768	+	0.133219i	−0.854963	+	0.518690i	$0.826420\pi$
$230$	12.4200	−	15.5742i	0.818951	−	1.02693i
$231$	8.77762	−	4.28738i	0.577525	−	0.282089i
$232$	−4.21866	−	5.29003i	−0.276968	−	0.347307i
$233$	−3.99245	−	4.30284i	−0.261554	−	0.281888i	0.588598	−	0.808426i	$-0.299680\pi$
$233$	−3.99245	−	4.30284i	−0.261554	−	0.281888i	−0.850152	+	0.526538i	$0.823490\pi$
$234$	−0.218094	−	2.37389i	−0.0142573	−	0.155186i
$235$	1.72076	−	1.17319i	0.112250	−	0.0765306i
$236$	3.97150	+	0.598608i	0.258523	+	0.0389660i
$237$	16.3287	+	6.25063i	1.06066	+	0.406022i
$238$	17.2200	−	9.87677i	1.11621	−	0.640216i
$239$	2.01615	−	4.18658i	0.130414	−	0.270808i	−0.825529	−	0.564360i	$-0.809123\pi$
$239$	2.01615	−	4.18658i	0.130414	−	0.270808i	0.955943	+	0.293552i	$0.0948374\pi$
$240$	−1.17054	−	7.34640i	−0.0755582	−	0.474208i
$241$	−0.892757	+	0.962164i	−0.0575076	+	0.0619784i	−0.761150	−	0.648575i	$-0.775365\pi$
$241$	−0.892757	+	0.962164i	−0.0575076	+	0.0619784i	0.703643	+	0.710554i	$0.251556\pi$
$242$	6.43775	+	0.482442i	0.413834	+	0.0310126i
$243$	−15.0384	+	4.10438i	−0.964715	+	0.263296i
$244$		−	1.61122i		−	0.103148i
$245$	6.52309	+	29.3485i	0.416745	+	1.87501i
$246$	7.39723	−	6.98027i	0.471630	−	0.445046i
$247$	−0.632194	+	1.61080i	−0.0402255	+	0.102493i
$248$	0.221343	−	2.95362i	0.0140553	−	0.187555i
$249$	0.175011	+	20.8153i	0.0110909	+	1.31911i
$250$	20.4360	−	29.9741i	1.29248	−	1.89573i
$251$	1.34975	+	0.650003i	0.0851952	+	0.0410278i	0.475996	−	0.879447i	$-0.342088\pi$
$251$	1.34975	+	0.650003i	0.0851952	+	0.0410278i	−0.390801	+	0.920475i	$0.627802\pi$
$252$	−1.87413	−	7.71282i	−0.118059	−	0.485862i
$253$	−8.90785	+	4.28979i	−0.560031	+	0.269697i
$254$	0.895026	−	5.93811i	0.0561589	−	0.372590i
$255$	−54.5195	−	11.9624i	−3.41415	−	0.749113i
$256$	−0.988831	+	0.149042i	−0.0618019	+	0.00931514i
$257$	−11.6250	+	10.7864i	−0.725148	+	0.672839i	−0.953723	−	0.300687i	$-0.902784\pi$
$257$	−11.6250	+	10.7864i	−0.725148	+	0.672839i	0.228575	+	0.973526i	$0.426594\pi$
$258$	7.71034	+	1.09593i	0.480025	+	0.0682296i
$259$	−0.265206	−	0.681428i	−0.0164791	−	0.0423419i
$260$	−2.66830	−	2.12790i	−0.165481	−	0.131967i
$261$	0.341310	+	20.2957i	0.0211265	+	1.25627i
$262$	3.03298	−	9.83269i	0.187378	−	0.607465i
$263$	17.4378	+	10.0677i	1.07526	+	0.620803i	0.929615	−	0.368533i	$-0.120140\pi$
$263$	17.4378	+	10.0677i	1.07526	+	0.620803i	0.145648	+	0.989336i	$0.453473\pi$
$264$	−1.05860	+	3.53722i	−0.0651525	+	0.217701i
$265$	−21.4774	+	4.90208i	−1.31935	+	0.301132i
$266$	−1.29804	+	5.61339i	−0.0795878	+	0.344179i
$267$	−8.04381	+	4.73471i	−0.492273	+	0.289759i
$268$	4.14286	−	1.27790i	0.253065	−	0.0780603i
$269$	−7.50131	−	19.1130i	−0.457363	−	1.16534i	−0.954643	−	0.297752i	$-0.903763\pi$
$269$	−7.50131	−	19.1130i	−0.457363	−	1.16534i	0.497281	−	0.867590i	$-0.334332\pi$
$270$	−10.6676	+	19.6026i	−0.649211	+	1.19297i
$271$	4.86766	+	15.7806i	0.295690	+	0.958602i	0.974519	+	0.224306i	$0.0720114\pi$
$271$	4.86766	+	15.7806i	0.295690	+	0.958602i	−0.678829	+	0.734296i	$0.737512\pi$
$272$	−1.66961	+	7.31503i	−0.101235	+	0.443539i
$273$	−3.02006	−	2.03453i	−0.182783	−	0.123135i
$274$	1.97531	+	8.65442i	0.119333	+	0.522832i
$275$	−24.8240	+	14.3321i	−1.49694	+	0.864261i
$276$	1.85336	+	7.81660i	0.111559	+	0.470504i
$277$	0.453485	+	0.139882i	0.0272473	+	0.00840468i	0.308349	−	0.951273i	$-0.400224\pi$
$277$	0.453485	+	0.139882i	0.0272473	+	0.00840468i	−0.281102	+	0.959678i	$0.590700\pi$
$278$	−0.0624469	−	0.833296i	−0.00374532	−	0.0499778i
$279$	−5.93343	+	6.61438i	−0.355225	+	0.395992i
$280$	−9.82476	−	5.70967i	−0.587142	−	0.341218i
$281$	−12.8796	+	10.2711i	−0.768330	+	0.612723i	−0.927196	−	0.374578i	$-0.877788\pi$
$281$	−12.8796	+	10.2711i	−0.768330	+	0.612723i	0.158866	+	0.987300i	$0.449216\pi$
$282$	−0.0557204	+	0.838028i	−0.00331810	+	0.0499038i
$283$	4.17662	+	27.7101i	0.248274	+	1.64719i	0.671380	+	0.741113i	$0.265702\pi$
$283$	4.17662	+	27.7101i	0.248274	+	1.64719i	−0.423106	+	0.906080i	$0.639060\pi$
$284$	1.36880	+	2.00766i	0.0812235	+	0.119133i
$285$	13.3076	−	9.23782i	0.788275	−	0.547201i
$286$	0.734964	+	1.52617i	0.0434593	+	0.0902442i
$287$	−1.11692	−	15.4958i	−0.0659294	−	0.914688i
$288$	2.62293	+	1.45610i	0.154558	+	0.0858017i
$289$	32.4689	+	22.1369i	1.90993	+	1.30217i
$290$	21.3028	+	19.7662i	1.25095	+	1.16071i
$291$	3.84599	+	4.74040i	0.225456	+	0.277887i
$292$	−11.5240	−	4.52283i	−0.674390	−	0.264679i
$293$	4.03500			0.235727			0.117864	−	0.993030i	$-0.462395\pi$
$293$	4.03500			0.235727			0.117864	+	0.993030i	$0.462395\pi$
$294$	−10.9379	−	5.23087i	−0.637912	−	0.305071i
$295$	−17.2501			−1.00434
$296$	0.257269	+	0.100971i	0.0149535	+	0.00586881i
$297$	8.99173	−	6.46856i	0.521753	−	0.375344i
$298$	−10.7767	−	9.99928i	−0.624275	−	0.579243i
$299$	3.04511	+	2.07612i	0.176103	+	0.120065i
$300$	7.05178	+	22.1970i	0.407135	+	1.28154i
$301$	8.74346	−	8.06656i	0.503964	−	0.464949i
$302$	5.92000	+	12.2930i	0.340658	+	0.707383i
$303$	10.0168	+	14.4298i	0.575452	+	0.828971i
$304$	−1.22671	−	1.79926i	−0.0703568	−	0.103195i
$305$	1.03139	+	6.84280i	0.0590570	+	0.391818i
$306$	17.3601	−	14.3283i	0.992412	−	0.819096i
$307$	−8.06976	+	6.43542i	−0.460566	+	0.367289i	−0.826114	−	0.563504i	$-0.809453\pi$
$307$	−8.06976	+	6.43542i	−0.460566	+	0.367289i	0.365548	+	0.930793i	$0.380882\pi$
$308$	3.16384	+	4.66899i	0.180277	+	0.266041i
$309$	−1.54020	−	18.4677i	−0.0876192	−	1.05059i
$310$	0.950657	+	12.6856i	0.0539937	+	0.720495i
$311$	−3.64564	−	1.12453i	−0.206725	−	0.0637664i	0.189663	−	0.981849i	$-0.439260\pi$
$311$	−3.64564	−	1.12453i	−0.206725	−	0.0637664i	−0.396388	+	0.918083i	$0.629737\pi$
$312$	1.33921	−	0.317534i	0.0758176	−	0.0179768i
$313$	−2.53358	+	1.46276i	−0.143207	+	0.0826804i	−0.569891	−	0.821720i	$-0.693015\pi$
$313$	−2.53358	+	1.46276i	−0.143207	+	0.0826804i	0.426685	+	0.904400i	$0.359681\pi$
$314$	4.60236	+	20.1643i	0.259726	+	1.13794i
$315$	12.8966	+	31.5565i	0.726641	+	1.77801i
$316$	−2.24624	+	9.84141i	−0.126361	+	0.553622i
$317$	−4.06253	−	13.1704i	−0.228175	−	0.739724i	−0.995178	−	0.0980814i	$-0.968729\pi$
$317$	−4.06253	−	13.1704i	−0.228175	−	0.739724i	0.767004	−	0.641643i	$-0.221747\pi$
$318$	3.78722	−	8.03639i	0.212377	−	0.450659i
$319$	−5.26953	−	13.4265i	−0.295037	−	0.751742i
$320$	4.10414	−	1.26596i	0.229428	−	0.0707693i
$321$	14.3677	+	24.4093i	0.801927	+	1.36239i
$322$	11.0407	+	5.35567i	0.615273	+	0.298460i
$323$	−15.9296	+	3.63582i	−0.886344	+	0.202302i
$324$	−3.56791	−	8.26257i	−0.198217	−	0.459032i
$325$	9.25352	+	5.34252i	0.513293	+	0.296350i
$326$	4.91081	−	15.9204i	0.271984	−	0.881752i
$327$	−11.8391	+	12.9767i	−0.654706	+	0.717612i
$328$	4.59096	+	3.66117i	0.253493	+	0.202154i
$329$	0.937971	+	0.875290i	0.0517120	+	0.0482563i
$330$	2.23159	−	15.7002i	0.122845	−	0.864266i
$331$	21.0917	−	19.5702i	1.15930	−	1.07568i	0.163279	−	0.986580i	$-0.447793\pi$
$331$	21.0917	−	19.5702i	1.15930	−	1.07568i	0.996023	−	0.0890953i	$-0.0283976\pi$
$332$	−11.8839	+	1.79121i	−0.652213	+	0.0983054i
$333$	−0.426576	−	0.710969i	−0.0233762	−	0.0389609i
$334$	−0.0680614	+	0.451558i	−0.00372415	+	0.0247081i
$335$	−16.7766	+	8.07919i	−0.916604	+	0.441413i
$336$	4.25642	−	1.69790i	0.232207	−	0.0926282i
$337$	−0.267478	−	0.128810i	−0.0145704	−	0.00701675i	0.426584	−	0.904448i	$-0.359717\pi$
$337$	−0.267478	−	0.128810i	−0.0145704	−	0.00701675i	−0.441155	+	0.897431i	$0.645431\pi$
$338$	−6.96746	+	10.2194i	−0.378980	+	0.555861i
$339$	−24.8336	+	0.208797i	−1.34878	+	0.0113403i
$340$	2.40823	−	32.1355i	0.130604	−	1.74279i
$341$	2.30673	−	5.87746i	0.124917	−	0.318282i
$342$	−0.378598	+	6.52197i	−0.0204722	+	0.352668i
$343$	−16.7542	+	7.89290i	−0.904640	+	0.426176i
$344$			4.49631i			0.242425i
$345$	−12.8748	−	32.0105i	−0.693158	−	1.72339i
$346$	−14.2875	−	1.07070i	−0.768099	−	0.0575610i
$347$	−5.31372	+	5.72683i	−0.285255	+	0.307432i	−0.859382	−	0.511335i	$-0.829151\pi$
$347$	−5.31372	+	5.72683i	−0.285255	+	0.307432i	0.574126	+	0.818767i	$0.305342\pi$
$348$	−11.5734	+	1.84405i	−0.620400	+	0.0988517i
$349$	−0.610739	+	1.26821i	−0.0326921	+	0.0678859i	−0.916675	−	0.399633i	$-0.869138\pi$
$349$	−0.610739	+	1.26821i	−0.0326921	+	0.0678859i	0.883983	+	0.467519i	$0.154852\pi$
$350$	33.0800	+	13.0917i	1.76820	+	0.699780i
$351$	−3.76411	−	1.69712i	−0.200913	−	0.0905854i
$352$	−2.10790	−	0.317715i	−0.112352	−	0.0169343i
$353$	−8.16285	+	5.56533i	−0.434464	+	0.296213i	−0.760734	−	0.649064i	$-0.775161\pi$
$353$	−8.16285	+	5.56533i	−0.434464	+	0.296213i	0.326269	+	0.945277i	$0.394208\pi$
$354$	4.29145	−	5.47512i	0.228088	−	0.290999i
$355$	−7.09844	−	7.65030i	−0.376746	−	0.406036i
$356$	−3.35992	−	4.21320i	−0.178075	−	0.223299i
$357$	−0.191239	−	34.3832i	−0.0101215	−	1.81975i
$358$	−0.328751	+	0.412241i	−0.0173751	+	0.0217876i
$359$	20.8386	−	1.56164i	1.09982	−	0.0824200i	0.487569	−	0.873084i	$-0.337884\pi$
$359$	20.8386	−	1.56164i	1.09982	−	0.0824200i	0.612250	+	0.790664i	$0.290265\pi$
$360$	−12.0716	−	4.50502i	−0.636231	−	0.237436i
$361$	−7.12892	+	12.3477i	−0.375207	+	0.649877i
$362$	−2.42525	−	4.20066i	−0.127469	−	0.220782i
$363$	6.22102	−	9.29145i	0.326519	−	0.487674i
$364$	0.917578	−	1.89158i	0.0480942	−	0.0991459i
$365$	51.8373	+	11.8315i	2.71329	+	0.619291i
$366$	−2.42847	−	1.37499i	−0.126938	−	0.0718716i
$367$	9.47114	−	3.71715i	0.494389	−	0.194034i	−0.105029	−	0.994469i	$-0.533494\pi$
$367$	9.47114	−	3.71715i	0.494389	−	0.194034i	0.599419	+	0.800436i	$0.295398\pi$
$368$	−4.31743	+	1.69446i	−0.225061	+	0.0883301i
$369$	−4.20819	−	17.1062i	−0.219070	−	0.890511i
$370$	−1.15725	−	0.264135i	−0.0601627	−	0.0137317i
$371$	−5.85326	−	12.2434i	−0.303886	−	0.635647i
$372$	−4.26288	−	2.85418i	−0.221020	−	0.147982i
$373$	1.74336	+	3.01960i	0.0902680	+	0.156349i	0.907624	−	0.419784i	$-0.137894\pi$
$373$	1.74336	+	3.01960i	0.0902680	+	0.156349i	−0.817356	+	0.576133i	$0.804561\pi$
$374$	−7.99728	+	13.8517i	−0.413529	+	0.716254i
$375$	−27.7380	−	56.3811i	−1.43239	−	2.91151i
$376$	−0.483548	+	0.0362369i	−0.0249371	+	0.00186878i
$377$	−3.35226	+	4.20360i	−0.172650	+	0.216497i
$378$	−13.2243	−	3.75726i	−0.680186	−	0.193252i
$379$	14.5104	+	18.1954i	0.745347	+	0.934636i	0.999471	−	0.0325361i	$-0.0103584\pi$
$379$	14.5104	+	18.1954i	0.745347	+	0.934636i	−0.254123	+	0.967172i	$0.581787\pi$
$380$	6.36158	+	6.85616i	0.326342	+	0.351713i
$381$	−8.18629	−	6.41649i	−0.419396	−	0.328727i
$382$	16.6993	−	11.3854i	0.854409	−	0.582527i
$383$	−29.0516	−	4.37883i	−1.48447	−	0.223748i	−0.643757	−	0.765230i	$-0.722625\pi$
$383$	−29.0516	−	4.37883i	−1.48447	−	0.223748i	−0.840712	+	0.541483i	$0.817863\pi$
$384$	−0.619211	+	1.61758i	−0.0315990	+	0.0825470i
$385$	−16.4255	−	17.8039i	−0.837123	−	0.907369i
$386$	9.43543	−	19.5929i	0.480251	−	0.997251i
$387$	8.23169	−	10.6860i	0.418440	−	0.543199i
$388$	−2.39716	+	2.58353i	−0.121698	+	0.131159i
$389$	−2.55791	−	0.191689i	−0.129691	−	0.00971900i	0.00972644	−	0.999953i	$-0.496904\pi$
$389$	−2.55791	−	0.191689i	−0.129691	−	0.00971900i	−0.139417	+	0.990234i	$0.544523\pi$
$390$	−5.48432	+	2.20583i	−0.277709	+	0.111696i
$391$			34.7999i			1.75991i
$392$	2.10132	−	6.67716i	0.106133	−	0.337247i
$393$	−12.2318	−	12.9624i	−0.617013	−	0.653869i
$394$	1.45402	−	3.70477i	0.0732523	−	0.186644i
$395$	3.23995	−	43.2341i	0.163020	−	2.17535i
$396$	4.42801	+	4.61417i	0.222516	+	0.231871i
$397$	9.96803	−	14.6204i	0.500281	−	0.733777i	−0.490172	−	0.871625i	$-0.663066\pi$
$397$	9.96803	−	14.6204i	0.500281	−	0.733777i	0.990453	+	0.137848i	$0.0440186\pi$
$398$	−6.79721	−	3.27337i	−0.340714	−	0.164079i
$399$	7.35294	+	6.74681i	0.368107	+	0.337763i
$400$	−12.1150	+	5.83426i	−0.605748	+	0.291713i
$401$	1.00648	−	6.67757i	0.0502613	−	0.333462i	−0.949542	−	0.313639i	$-0.898452\pi$
$401$	1.00648	−	6.67757i	0.0502613	−	0.333462i	0.999804	−	0.0198227i	$-0.00631017\pi$
$402$	1.60936	−	7.33478i	0.0802674	−	0.365825i
$403$	−2.32732	+	0.350787i	−0.115932	+	0.0174739i
$404$	−7.43432	+	6.89804i	−0.369871	+	0.343191i
$405$	20.4419	+	32.8070i	1.01577	+	1.63019i
$406$	−8.99492	+	15.4778i	−0.446410	+	0.768149i
$407$	0.460616	+	0.367329i	0.0228319	+	0.0182078i
$408$	9.60060	+	8.75900i	0.475301	+	0.433635i
$409$	−0.260355	+	0.844052i	−0.0128737	+	0.0417357i	−0.961782	−	0.273817i	$-0.911714\pi$
$409$	−0.260355	+	0.844052i	−0.0128737	+	0.0417357i	0.948908	+	0.315553i	$0.102190\pi$
$410$	−21.8413	−	12.6101i	−1.07867	−	0.622768i
$411$	14.7299	+	4.40829i	0.726571	+	0.217445i
$412$	10.4311	−	2.38083i	0.513903	−	0.117295i
$413$	−2.33508	−	10.3666i	−0.114902	−	0.510105i
$414$	13.3630	+	3.87711i	0.656757	+	0.190550i
$415$	49.3241	−	15.2145i	2.42122	−	0.746848i
$416$	0.290310	+	0.739698i	0.0142336	+	0.0362667i
$417$	−1.30926	−	0.616999i	−0.0641146	−	0.0302146i
$418$	−1.36829	−	4.43589i	−0.0669252	−	0.216966i
$419$	3.25404	−	14.2569i	0.158970	−	0.696494i	−0.831124	−	0.556088i	$-0.812302\pi$
$419$	3.25404	−	14.2569i	0.158970	−	0.696494i	0.990094	−	0.140407i	$-0.0448410\pi$
$420$	−16.9901	+	9.93562i	−0.829030	+	0.484809i
$421$	7.26382	+	31.8249i	0.354017	+	1.55105i	0.767810	+	0.640678i	$0.221347\pi$
$421$	7.26382	+	31.8249i	0.354017	+	1.55105i	−0.413793	+	0.910371i	$0.635796\pi$
$422$	1.69270	−	0.977279i	0.0823992	−	0.0475732i
$423$	1.21555	+	0.799143i	0.0591020	+	0.0388556i
$424$	4.90134	+	1.51186i	0.238030	+	0.0734226i
$425$	7.53966	+	100.610i	0.365727	+	4.88029i
$426$	4.19412	−	0.349790i	0.203206	−	0.0169474i
$427$	−3.97262	+	1.54611i	−0.192248	+	0.0748213i
$428$	−12.7852	+	10.1958i	−0.617994	+	0.492834i
$429$	2.92749	+	0.194649i	0.141341	+	0.00939772i
$430$	−2.87822	−	19.0957i	−0.138800	−	0.920878i
$431$	7.89671	+	11.5823i	0.380371	+	0.557902i	0.967911	−	0.251293i	$-0.0808559\pi$
$431$	7.89671	+	11.5823i	0.380371	+	0.557902i	−0.587540	+	0.809195i	$0.699903\pi$
$432$	4.43304	−	2.71074i	0.213285	−	0.130421i
$433$	−1.54283	−	3.20372i	−0.0741436	−	0.153961i	0.860602	−	0.509277i	$-0.170087\pi$
$433$	−1.54283	−	3.20372i	−0.0741436	−	0.153961i	−0.934746	+	0.355317i	$0.884373\pi$
$434$	−7.49484	+	2.28851i	−0.359764	+	0.109852i
$435$	47.9716	−	15.2401i	2.30006	−	0.730709i
$436$	−8.37943	−	5.71300i	−0.401302	−	0.273603i
$437$	−7.40383	−	6.86975i	−0.354173	−	0.328625i
$438$	−16.6513	+	13.5096i	−0.795631	+	0.645512i
$439$	−26.3320	−	10.3345i	−1.25676	−	0.493241i	−0.358838	−	0.933400i	$-0.616827\pi$
$439$	−26.3320	−	10.3345i	−1.25676	−	0.493241i	−0.897920	+	0.440159i	$0.854922\pi$
$440$	9.15560			0.436476
$441$	−17.2184	+	12.0220i	−0.819921	+	0.572476i
$442$	5.96221			0.283593
$443$	−14.8913	−	5.84439i	−0.707505	−	0.277675i	−0.0158205	−	0.999875i	$-0.505036\pi$
$443$	−14.8913	−	5.84439i	−0.707505	−	0.277675i	−0.691685	+	0.722199i	$0.743131\pi$
$444$	0.371736	−	0.301597i	0.0176418	−	0.0143132i
$445$	16.9665	+	15.7426i	0.804289	+	0.746271i
$446$	−12.9325	−	8.81724i	−0.612372	−	0.417508i
$447$	−24.2678	+	7.70966i	−1.14783	+	0.364655i
$448$	1.31635	+	2.29504i	0.0621917	+	0.108431i
$449$	−2.10303	−	4.36698i	−0.0992480	−	0.206091i	0.845433	−	0.534082i	$-0.179343\pi$
$449$	−2.10303	−	4.36698i	−0.0992480	−	0.206091i	−0.944681	+	0.327991i	$0.893628\pi$
$450$	39.4738	+	8.31390i	1.86081	+	0.391921i
$451$	7.05138	+	10.3425i	0.332037	+	0.487008i
$452$	−2.13700	−	14.1781i	−0.100516	−	0.666880i
$453$	23.5804	+	1.56786i	1.10790	+	0.0736645i
$454$	15.8904	−	12.6722i	0.745774	−	0.594735i
$455$	−2.68608	+	8.62088i	−0.125925	+	0.404153i
$456$	−3.75875	+	0.313480i	−0.176020	+	0.0146800i
$457$	−1.39064	−	18.5568i	−0.0650515	−	0.868052i	−0.930321	−	0.366746i	$-0.880472\pi$
$457$	−1.39064	−	18.5568i	−0.0650515	−	0.868052i	0.865270	−	0.501307i	$-0.167147\pi$
$458$	−25.7782	−	7.95151i	−1.20453	−	0.371550i
$459$	−6.78123	−	38.3932i	−0.316521	−	1.79204i
$460$	17.2513	−	9.96007i	0.804348	−	0.464391i
$461$	1.25428	+	5.49537i	0.0584177	+	0.255945i	0.995701	−	0.0926232i	$-0.0295252\pi$
$461$	1.25428	+	5.49537i	0.0584177	+	0.255945i	−0.937284	+	0.348568i	$0.886668\pi$
$462$	9.73721	−	0.784188i	0.453016	−	0.0364837i
$463$	6.32459	−	27.7098i	0.293929	−	1.28779i	−0.585078	−	0.810977i	$-0.698936\pi$
$463$	6.32459	−	27.7098i	0.293929	−	1.28779i	0.879007	−	0.476809i	$-0.158207\pi$
$464$	−1.99437	−	6.46559i	−0.0925864	−	0.300158i
$465$	19.9314	+	9.39285i	0.924297	+	0.435583i
$466$	−2.14446	−	5.46400i	−0.0993404	−	0.253115i
$467$	34.4966	−	10.6408i	1.59631	−	0.492397i	0.636085	−	0.771619i	$-0.280553\pi$
$467$	34.4966	−	10.6408i	1.59631	−	0.492397i	0.960226	+	0.279223i	$0.0900768\pi$
$468$	0.664260	−	2.28947i	0.0307054	−	0.105831i
$469$	−7.12624	−	8.98838i	−0.329059	−	0.415045i
$470$	2.03042	−	0.463431i	0.0936564	−	0.0213765i
$471$	34.3197	+	10.2710i	1.58137	+	0.473265i
$472$	3.47827	+	2.00818i	0.160100	+	0.0924340i
$473$	−2.82518	+	9.15901i	−0.129902	+	0.421132i
$474$	12.9163	+	11.7841i	0.593267	+	0.541261i
$475$	−22.8936	−	18.2570i	−1.05043	−	0.837689i
$476$	19.6381	−	2.90284i	0.900110	−	0.133051i
$477$	−8.88073	−	12.5663i	−0.406621	−	0.575373i
$478$	3.40631	−	3.16060i	0.155801	−	0.144562i
$479$	37.7274	−	5.68650i	1.72381	−	0.259823i	0.788853	−	0.614582i	$-0.210675\pi$
$479$	37.7274	−	5.68650i	1.72381	−	0.259823i	0.934958	+	0.354760i	$0.115437\pi$
$480$	1.59431	−	7.26622i	0.0727702	−	0.331656i
$481$	0.0327319	−	0.217162i	0.00149244	−	0.00990172i
$482$	−1.18256	+	0.569492i	−0.0538642	+	0.0259397i
$483$	17.4941	−	12.0704i	0.796011	−	0.549221i
$484$	5.81647	+	2.80107i	0.264385	+	0.127321i
$485$	8.52692	−	12.5067i	0.387187	−	0.567900i
$486$	−15.4984	−	1.67349i	−0.703020	−	0.0759109i
$487$	0.150279	−	2.00534i	0.00680981	−	0.0908706i	−0.992763	−	0.120088i	$-0.961682\pi$
$487$	0.150279	−	2.00534i	0.00680981	−	0.0908706i	0.999573	+	0.0292172i	$0.00930145\pi$
$488$	0.588643	−	1.49984i	0.0266466	−	0.0678945i
$489$	−19.8049	−	20.9880i	−0.895611	−	0.949108i
$490$	−4.65003	+	29.7029i	−0.210067	+	1.34184i
$491$		−	18.0065i		−	0.812621i	−0.913735	−	0.406310i	$-0.866815\pi$
$491$		−	18.0065i		−	0.812621i	0.913735	−	0.406310i	$-0.133185\pi$
$492$	9.43607	−	3.79524i	0.425411	−	0.171103i
$493$	−50.6258	−	3.79388i	−2.28007	−	0.170868i
$494$	−1.17698	+	1.26849i	−0.0529550	+	0.0570720i
$495$	−21.7593	−	16.7618i	−0.978009	−	0.753386i
$496$	1.28512	−	2.66858i	0.0577036	−	0.119823i
$497$	3.63661	−	5.30145i	0.163124	−	0.237803i
$498$	−7.44176	+	19.4403i	−0.333473	+	0.871142i
$499$	−18.9440	−	2.85534i	−0.848048	−	0.127823i	−0.289380	−	0.957214i	$-0.593449\pi$
$499$	−18.9440	−	2.85534i	−0.848048	−	0.127823i	−0.558668	+	0.829392i	$0.688687\pi$
$500$	29.9741	−	20.4360i	1.34048	−	0.913925i
$501$	0.622518	+	0.487936i	0.0278121	+	0.0217994i
$502$	1.01897	+	1.09819i	0.0454788	+	0.0490145i
$503$	5.99878	+	7.52224i	0.267473	+	0.335400i	0.897370	−	0.441278i	$-0.145475\pi$
$503$	5.99878	+	7.52224i	0.267473	+	0.335400i	−0.629898	+	0.776678i	$0.716903\pi$
$504$	1.07323	−	7.86436i	0.0478056	−	0.350306i
$505$	27.1578	−	34.0548i	1.20851	−	1.51542i
$506$	−9.85932	+	0.738854i	−0.438300	+	0.0328461i
$507$	9.45703	+	19.2226i	0.420002	+	0.853706i
$508$	3.00259	−	5.20064i	0.133218	−	0.230741i
$509$	9.28601	+	16.0838i	0.411595	+	0.712903i	0.995064	−	0.0992317i	$-0.0316385\pi$
$509$	9.28601	+	16.0838i	0.411595	+	0.712903i	−0.583469	+	0.812135i	$0.698305\pi$
$510$	−46.3805	−	31.0537i	−2.05376	−	1.37508i
$511$	−0.0932064	+	32.7536i	−0.00412321	+	1.44893i
$512$	−0.974928	−	0.222521i	−0.0430861	−	0.00983413i
$513$	9.50700	+	6.13637i	0.419744	+	0.270927i
$514$	−14.7621	+	5.79371i	−0.651130	+	0.255550i
$515$	−42.7766	+	16.7886i	−1.88496	+	0.739792i
$516$	6.77696	+	3.83707i	0.298339	+	0.168918i
$517$	−1.00776	−	0.230015i	−0.0443212	−	0.0101160i
$518$	0.00208080	−	0.731214i	9.14253e−5	−	0.0321277i
$519$	−13.8065	+	20.6208i	−0.606037	+	0.905150i
$520$	−1.70644	−	2.95565i	−0.0748325	−	0.129614i
$521$	−12.8382	+	22.2364i	−0.562451	+	0.974194i	0.434831	+	0.900512i	$0.356808\pi$
$521$	−12.8382	+	22.2364i	−0.562451	+	0.974194i	−0.997282	+	0.0736816i	$0.976525\pi$
$522$	−7.09714	+	19.0175i	−0.310634	+	0.832371i
$523$	−33.5378	+	2.51331i	−1.46650	+	0.109899i	−0.783899	−	0.620888i	$-0.786772\pi$
$523$	−33.5378	+	2.51331i	−1.46650	+	0.109899i	−0.682605	+	0.730787i	$0.739153\pi$
$524$	6.41561	−	8.04492i	0.280267	−	0.351444i
$525$	47.9621	−	38.6868i	2.09324	−	1.68843i
$526$	12.5543	+	15.7426i	0.547392	+	0.686408i
$527$	−15.1159	−	16.2910i	−0.658457	−	0.709648i
$528$	−2.27772	+	2.90596i	−0.0991250	+	0.126466i
$529$	1.22996	−	0.838570i	0.0534763	−	0.0364595i
$530$	−21.7837	−	3.28336i	−0.946223	−	0.142620i
$531$	−4.59000	−	11.1406i	−0.199189	−	0.483460i
$532$	−3.25911	+	4.75113i	−0.141300	+	0.205988i
$533$	2.02455	−	4.20401i	0.0876928	−	0.182096i
$534$	−9.21755	+	1.46868i	−0.398883	+	0.0635561i
$535$	47.7717	−	51.4856i	2.06535	−	2.22592i
$536$	4.32335	+	0.323990i	0.186740	+	0.0139942i
$537$	0.340791	+	0.847303i	0.0147062	+	0.0365638i
$538$		−	20.5323i		−	0.885212i
$539$	8.47589	−	12.2811i	0.365082	−	0.528984i
$540$	−17.0918	+	14.3502i	−0.735515	+	0.617533i
$541$	0.604623	−	1.54055i	0.0259948	−	0.0662335i	−0.917287	−	0.398227i	$-0.869626\pi$
$541$	0.604623	−	1.54055i	0.0259948	−	0.0662335i	0.943282	+	0.331993i	$0.107721\pi$
$542$	−1.23411	+	16.4681i	−0.0530097	+	0.707365i
$543$	−8.40103	+	0.0706343i	−0.360523	+	0.00303121i
$544$	−4.22667	+	6.19939i	−0.181217	+	0.265797i
$545$	39.2443	+	18.8991i	1.68104	+	0.809547i
$546$	−2.06800	−	2.99725i	−0.0885022	−	0.128270i
$547$	3.90246	−	1.87932i	0.166857	−	0.0803541i	−0.348591	−	0.937275i	$-0.613340\pi$
$547$	3.90246	−	1.87932i	0.166857	−	0.0803541i	0.515448	+	0.856921i	$0.327626\pi$
$548$	−1.32305	+	8.77783i	−0.0565177	+	0.374970i
$549$	−4.14483	+	2.48687i	−0.176897	+	0.106137i
$550$	−28.3441	+	4.27219i	−1.20860	+	0.182167i
$551$	10.8011	−	10.0219i	0.460141	−	0.426949i
$552$	−1.13048	+	7.95337i	−0.0481162	+	0.338518i
$553$	26.4204	−	3.90538i	1.12351	−	0.166074i
$554$	0.371033	+	0.295889i	0.0157637	+	0.0125711i
$555$	−1.38569	+	1.51883i	−0.0588194	+	0.0644709i
$556$	0.246307	−	0.798508i	0.0104457	−	0.0338643i
$557$	−5.45840	−	3.15141i	−0.231280	−	0.133529i	0.379882	−	0.925035i	$-0.375964\pi$
$557$	−5.45840	−	3.15141i	−0.231280	−	0.133529i	−0.611162	+	0.791505i	$0.709298\pi$
$558$	−7.93977	+	3.98942i	−0.336117	+	0.168886i
$559$	3.48331	−	0.795043i	0.147328	−	0.0336267i
$560$	−7.05964	−	8.90437i	−0.298324	−	0.376278i
$561$	14.0529	+	23.8745i	0.593315	+	1.00798i
$562$	−15.7417	+	4.85567i	−0.664023	+	0.204824i
$563$	7.25666	+	18.4897i	0.305832	+	0.779247i	0.998327	+	0.0578242i	$0.0184163\pi$
$563$	7.25666	+	18.4897i	0.305832	+	0.779247i	−0.692495	+	0.721423i	$0.743488\pi$
$564$	−0.358035	+	0.759741i	−0.0150760	+	0.0319909i
$565$	18.1516	+	58.8460i	0.763643	+	2.47567i
$566$	−6.23572	+	27.3205i	−0.262107	+	1.14837i
$567$	−16.9485	+	16.7257i	−0.711769	+	0.702414i
$568$	0.540700	+	2.36896i	0.0226873	+	0.0993994i
$569$	22.3684	−	12.9144i	0.937730	−	0.541399i	0.0484821	−	0.998824i	$-0.484562\pi$
$569$	22.3684	−	12.9144i	0.937730	−	0.541399i	0.889248	+	0.457425i	$0.151228\pi$
$570$	15.7627	−	3.73743i	0.660225	−	0.156544i
$571$	1.92018	+	0.592296i	0.0803569	+	0.0247868i	0.334673	−	0.942334i	$-0.391374\pi$
$571$	1.92018	+	0.592296i	0.0803569	+	0.0247868i	−0.254316	+	0.967121i	$0.581850\pi$
$572$	0.126587	+	1.68918i	0.00529286	+	0.0706283i
$573$	−2.90947	−	34.8857i	−0.121545	−	1.45737i
$574$	4.62155	−	14.8327i	0.192900	−	0.619105i
$575$	−48.7596	+	38.8845i	−2.03341	+	1.62159i
$576$	1.90964	+	2.31371i	0.0795685	+	0.0964047i
$577$	−5.54264	−	36.7730i	−0.230743	−	1.53088i	−0.741381	−	0.671085i	$-0.765829\pi$
$577$	−5.54264	−	36.7730i	−0.230743	−	1.53088i	0.510637	−	0.859796i	$-0.329409\pi$
$578$	22.1369	+	32.4689i	0.920774	+	1.35053i
$579$	−21.4789	−	30.9416i	−0.892632	−	1.28589i
$580$	12.6089	+	26.1826i	0.523555	+	1.08717i
$581$	15.8201	+	27.5821i	0.656327	+	1.14430i
$582$	1.84827	+	5.81782i	0.0766131	+	0.241156i
$583$	9.03411	+	6.15935i	0.374155	+	0.255094i
$584$	−9.07500	−	8.42037i	−0.375526	−	0.348437i
$585$	−1.35554	+	10.1485i	−0.0560448	+	0.419590i
$586$	3.75608	+	1.47415i	0.155162	+	0.0608967i
$587$	10.5270			0.434497			0.217249	−	0.976116i	$-0.430292\pi$
$587$	10.5270			0.434497			0.217249	+	0.976116i	$0.430292\pi$
$588$	−8.27077	−	8.86535i	−0.341081	−	0.365601i
$589$	6.44997			0.265766
$590$	−16.0576	−	6.30216i	−0.661083	−	0.259456i
$591$	−4.34310	−	5.35313i	−0.178651	−	0.220198i
$592$	0.202597	+	0.187982i	0.00832667	+	0.00772602i
$593$	−26.3674	−	17.9770i	−1.08278	−	0.738228i	−0.115850	−	0.993267i	$-0.536959\pi$
$593$	−26.3674	−	17.9770i	−1.08278	−	0.738228i	−0.966931	+	0.255039i	$0.917912\pi$
$594$	10.7334	−	2.73637i	0.440396	−	0.112275i
$595$	−81.5443	+	24.8992i	−3.34299	+	1.02077i
$596$	−6.37856	−	13.2452i	−0.261276	−	0.542545i
$597$	−10.7343	+	7.45152i	−0.439327	+	0.304970i
$598$	2.07612	+	3.04511i	0.0848990	+	0.124524i
$599$	2.74686	+	18.2242i	0.112234	+	0.744621i	0.972180	+	0.234236i	$0.0752589\pi$
$599$	2.74686	+	18.2242i	0.112234	+	0.744621i	−0.859946	+	0.510385i	$0.829503\pi$
$600$	−1.54515	+	23.2389i	−0.0630806	+	0.948723i
$601$	27.1768	−	21.6728i	1.10857	−	0.884052i	0.114565	−	0.993416i	$-0.463453\pi$
$601$	27.1768	−	21.6728i	1.10857	−	0.884052i	0.994002	+	0.109363i	$0.0348812\pi$
$602$	11.0861	−	4.31461i	0.451836	−	0.175850i
$603$	−9.68178	−	8.68504i	−0.394273	−	0.353682i
$604$	1.01963	+	13.6061i	0.0414883	+	0.553623i
$605$	−26.4955	−	8.17278i	−1.07719	−	0.332271i
$606$	4.05260	+	17.0919i	0.164625	+	0.694311i
$607$	−17.8040	+	10.2791i	−0.722640	+	0.417217i	−0.815724	−	0.578442i	$-0.803661\pi$
$607$	−17.8040	+	10.2791i	−0.722640	+	0.417217i	0.0930833	+	0.995658i	$0.470328\pi$
$608$	−0.484572	−	2.12305i	−0.0196520	−	0.0861011i
$609$	15.6524	+	26.7659i	0.634268	+	1.08461i
$610$	−1.53987	+	6.74659i	−0.0623473	+	0.273162i
$611$	0.113575	+	0.368200i	0.00459473	+	0.0148958i
$612$	21.3948	−	6.99551i	0.864834	−	0.282777i
$613$	1.16151	+	2.95949i	0.0469131	+	0.119533i	0.952410	−	0.304821i	$-0.0985966\pi$
$613$	1.16151	+	2.95949i	0.0469131	+	0.119533i	−0.905497	+	0.424354i	$0.860501\pi$
$614$	−9.86305	+	3.04235i	−0.398040	+	0.122779i
$615$	−37.6453	+	22.1586i	−1.51801	+	0.893522i
$616$	1.23936	+	5.50213i	0.0499353	+	0.221687i
$617$	−18.0961	+	4.13031i	−0.728520	+	0.166280i	−0.570666	−	0.821183i	$-0.693315\pi$
$617$	−18.0961	+	4.13031i	−0.728520	+	0.166280i	−0.157854	+	0.987462i	$0.550458\pi$
$618$	5.31327	−	17.7538i	0.213731	−	0.714162i
$619$	13.7282	+	7.92597i	0.551782	+	0.318572i	0.749840	−	0.661619i	$-0.230130\pi$
$619$	13.7282	+	7.92597i	0.551782	+	0.318572i	−0.198058	+	0.980190i	$0.563464\pi$
$620$	−3.74964	+	12.1560i	−0.150589	+	0.488198i
$621$	17.2475	−	16.8325i	0.692117	−	0.675463i
$622$	−2.98280	−	2.37870i	−0.119599	−	0.0953772i
$623$	−7.16394	+	12.3272i	−0.287017	+	0.493877i
$624$	1.36264	+	0.193683i	0.0545493	+	0.00775351i
$625$	−64.9323	+	60.2484i	−2.59729	+	2.40994i
$626$	−2.89285	+	0.436028i	−0.115622	+	0.0174272i
$627$	−7.85357	−	1.72319i	−0.313641	−	0.0688175i
$628$	−3.08262	+	20.4518i	−0.123010	+	0.816116i
$629$	1.86832	−	0.899734i	0.0744947	−	0.0358748i
$630$	0.476208	+	34.0868i	0.0189726	+	1.35805i
$631$	29.4878	+	14.2006i	1.17389	+	0.565317i	0.916126	−	0.400891i	$-0.131299\pi$
$631$	29.4878	+	14.2006i	1.17389	+	0.565317i	0.257766	+	0.966207i	$0.417014\pi$
$632$	−5.68643	+	8.34046i	−0.226194	+	0.331766i
$633$	−0.0284628	−	3.38527i	−0.00113129	−	0.134553i
$634$	1.02999	−	13.7442i	0.0409059	−	0.545852i
$635$	−9.42286	+	24.0091i	−0.373935	+	0.952771i
$636$	6.46145	−	6.09724i	0.256213	−	0.241771i
$637$	−5.54439	−	0.447240i	−0.219677	−	0.0177203i
$638$		−	14.4236i		−	0.571036i
$639$	3.05198	−	6.62000i	0.120735	−	0.261883i
$640$	4.28294	+	0.320962i	0.169298	+	0.0126871i
$641$	−16.4478	+	17.7265i	−0.649650	+	0.700156i	−0.968883	−	0.247520i	$-0.920384\pi$
$641$	−16.4478	+	17.7265i	−0.649650	+	0.700156i	0.319233	+	0.947676i	$0.396575\pi$
$642$	4.45679	+	27.9711i	0.175895	+	1.10393i
$643$	2.81218	−	5.83955i	0.110902	−	0.230289i	−0.838130	−	0.545471i	$-0.816351\pi$
$643$	2.81218	−	5.83955i	0.110902	−	0.230289i	0.949032	+	0.315181i	$0.102065\pi$
$644$	8.32083	+	9.01906i	0.327887	+	0.355401i
$645$	−31.2378	−	11.9578i	−1.22999	−	0.470840i
$646$	−16.1567	−	2.43523i	−0.635678	−	0.0958130i
$647$	8.23058	−	5.61152i	0.323578	−	0.220612i	−0.390626	−	0.920549i	$-0.627741\pi$
$647$	8.23058	−	5.61152i	0.323578	−	0.220612i	0.714204	+	0.699938i	$0.246789\pi$
$648$	−0.302617	−	8.99491i	−0.0118879	−	0.353353i
$649$	5.82346	+	6.27619i	0.228591	+	0.246362i
$650$	6.66202	+	8.35390i	0.261306	+	0.327667i
$651$	−2.94666	+	13.2494i	−0.115489	+	0.519285i
$652$	10.3877	−	13.0258i	0.406815	−	0.510130i
$653$	36.4045	−	2.72814i	1.42462	−	0.106760i	0.660010	−	0.751256i	$-0.270552\pi$
$653$	36.4045	−	2.72814i	1.42462	−	0.106760i	0.764608	+	0.644496i	$0.222933\pi$
$654$	−15.7617	+	7.75433i	−0.616329	+	0.303218i
$655$	−22.0972	+	38.2734i	−0.863408	+	1.49547i
$656$	2.93603	+	5.08535i	0.114633	+	0.198550i
$657$	6.15204	+	36.6262i	0.240014	+	1.42892i
$658$	0.553353	+	1.15746i	0.0215720	+	0.0451227i
$659$	24.8970	+	5.68259i	0.969851	+	0.221362i	0.677968	−	0.735092i	$-0.262861\pi$
$659$	24.8970	+	5.68259i	0.969851	+	0.221362i	0.291883	+	0.956454i	$0.405718\pi$
$660$	7.81324	−	13.7996i	0.304130	−	0.537148i
$661$	22.4829	−	8.82390i	0.874485	−	0.343210i	0.114712	−	0.993399i	$-0.463405\pi$
$661$	22.4829	−	8.82390i	0.874485	−	0.343210i	0.759773	+	0.650189i	$0.225310\pi$
$662$	26.7835	−	10.5117i	1.04097	−	0.408550i
$663$	5.08805	−	8.98641i	0.197604	−	0.349003i
$664$	−11.7168	−	2.67428i	−0.454700	−	0.103782i
$665$	10.8000	−	22.2642i	0.418808	−	0.863369i
$666$	−0.137342	−	0.817668i	−0.00532191	−	0.0316840i
$667$	−15.6909	−	27.1775i	−0.607555	−	1.05232i
$668$	−0.228329	+	0.395478i	−0.00883432	+	0.0153015i
$669$	−24.3260	+	11.9678i	−0.940497	+	0.462700i
$670$	−18.5686	+	1.39152i	−0.717367	+	0.0537592i
$671$	2.14147	−	2.68532i	0.0826705	−	0.103666i
$672$	4.58250	−	0.0254879i	0.176774	−	0.000983217i
$673$	−2.15644	−	2.70410i	−0.0831248	−	0.104235i	0.738530	−	0.674221i	$-0.235520\pi$
$673$	−2.15644	−	2.70410i	−0.0831248	−	0.104235i	−0.821655	+	0.569985i	$0.806949\pi$
$674$	−0.201928	−	0.217627i	−0.00777798	−	0.00838267i
$675$	46.2172	−	52.4010i	1.77890	−	2.01692i
$676$	−10.2194	+	6.96746i	−0.393053	+	0.267979i
$677$	−7.99422	−	1.20494i	−0.307243	−	0.0463094i	−0.00638880	−	0.999980i	$-0.502034\pi$
$677$	−7.99422	−	1.20494i	−0.307243	−	0.0463094i	−0.300854	+	0.953670i	$0.597272\pi$
$678$	−23.1932	−	8.87838i	−0.890731	−	0.340972i
$679$	8.67025	+	3.43133i	0.332733	+	0.131682i
$680$	13.9822	−	29.0343i	0.536192	−	1.11341i
$681$	−5.53925	−	34.7647i	−0.212265	−	1.33219i
$682$	4.29455	−	4.62843i	0.164447	−	0.177232i
$683$	−17.7139	−	1.32747i	−0.677804	−	0.0507944i	−0.268620	−	0.963246i	$-0.586568\pi$
$683$	−17.7139	−	1.32747i	−0.677804	−	0.0507944i	−0.409184	+	0.912452i	$0.634187\pi$
$684$	−2.73517	+	5.93281i	−0.104582	+	0.226847i
$685$		−	38.1262i		−	1.45673i
$686$	−18.4796	+	1.22631i	−0.705555	+	0.0468206i
$687$	−33.9834	+	32.0679i	−1.29655	+	1.22347i
$688$	−1.64269	+	4.18549i	−0.0626268	+	0.159570i
$689$	0.304586	−	4.06442i	0.0116038	−	0.154842i
$690$	−0.290082	−	34.5015i	−0.0110432	−	1.31345i
$691$	14.3351	−	21.0257i	0.545332	−	0.799855i	−0.450334	−	0.892860i	$-0.648695\pi$
$691$	14.3351	−	21.0257i	0.545332	−	0.799855i	0.995666	+	0.0930053i	$0.0296473\pi$
$692$	−12.9087	−	6.21648i	−0.490713	−	0.236315i
$693$	7.12762	−	15.3454i	0.270756	−	0.582924i
$694$	−7.03865	+	3.38963i	−0.267183	+	0.128669i
$695$	−0.534913	+	3.54891i	−0.0202904	+	0.134618i
$696$	−11.4471	−	2.51166i	−0.433901	−	0.0952042i
$697$	43.5668	−	6.56664i	1.65021	−	0.248729i
$698$	−1.03185	+	0.957418i	−0.0390561	+	0.0362388i
$699$	−10.0656	−	1.43070i	−0.380714	−	0.0541139i
$700$	26.0104	+	24.2722i	0.983099	+	0.917402i
$701$	11.4032	+	9.09371i	0.430691	+	0.343465i	0.814718	−	0.579857i	$-0.196892\pi$
$701$	11.4032	+	9.09371i	0.430691	+	0.343465i	−0.384027	+	0.923322i	$0.625463\pi$
$702$	−2.88388	−	2.95498i	−0.108845	−	0.111529i
$703$	−0.177397	+	0.575107i	−0.00669066	+	0.0216906i
$704$	−1.84612	−	1.06586i	−0.0695782	−	0.0401710i
$705$	1.03423	−	3.45579i	0.0389515	−	0.130153i
$706$	−9.63182	+	2.19840i	−0.362498	+	0.0827379i
$707$	24.1417	+	11.7108i	0.907943	+	0.440430i
$708$	5.99509	−	3.52880i	0.225309	−	0.132620i
$709$	4.72461	−	1.45735i	0.177436	−	0.0547319i	−0.204764	−	0.978811i	$-0.565643\pi$
$709$	4.72461	−	1.45735i	0.177436	−	0.0547319i	0.382200	+	0.924080i	$0.375166\pi$
$710$	−3.81278	−	9.71481i	−0.143091	−	0.364590i
$711$	28.7839	−	9.41153i	1.07948	−	0.352960i
$712$	−1.58840	−	5.14947i	−0.0595279	−	0.192985i
$713$	3.05686	−	13.3930i	0.114480	−	0.501570i
$714$	12.3836	−	32.0763i	0.463444	−	1.20043i
$715$	−1.61891	−	7.09289i	−0.0605437	−	0.265259i
$716$	−0.456635	+	0.263638i	−0.0170652	+	0.00985262i
$717$	−1.85685	−	7.83129i	−0.0693453	−	0.292465i
$718$	19.9686	+	6.15951i	0.745223	+	0.229871i
$719$	−3.57343	−	47.6841i	−0.133266	−	1.77832i	−0.518090	−	0.855326i	$-0.673357\pi$
$719$	−3.57343	−	47.6841i	−0.133266	−	1.77832i	0.384824	−	0.922990i	$-0.374262\pi$
$720$	−9.59129	−	8.60387i	−0.357446	−	0.320647i
$721$	−15.8797	−	23.4343i	−0.591392	−	0.872738i
$722$	−11.1472	+	8.88962i	−0.414857	+	0.330837i
$723$	−0.150825	+	2.26839i	−0.00560924	+	0.0843622i
$724$	−0.722931	−	4.79633i	−0.0268675	−	0.178254i
$725$	−51.2522	−	75.1732i	−1.90346	−	2.79186i
$726$	9.18553	−	6.37637i	0.340907	−	0.236649i
$727$	19.5510	+	40.5982i	0.725108	+	1.50570i	0.857488	+	0.514503i	$0.172024\pi$
$727$	19.5510	+	40.5982i	0.725108	+	1.50570i	−0.132380	+	0.991199i	$0.542262\pi$
$728$	1.54522	−	1.42560i	0.0572698	−	0.0528361i
$729$	−15.7484	+	21.9315i	−0.583273	+	0.812276i
$730$	43.9315	+	29.9520i	1.62598	+	1.10857i
$731$	24.7306	+	22.9466i	0.914693	+	0.848711i
$732$	−1.75826	−	2.16716i	−0.0649872	−	0.0801005i
$733$	−15.7604	−	6.18550i	−0.582123	−	0.228467i	0.0559611	−	0.998433i	$-0.482178\pi$
$733$	−15.7604	−	6.18550i	−0.582123	−	0.228467i	−0.638084	+	0.769966i	$0.720273\pi$
$734$	10.1745			0.375546
$735$	40.8007	+	32.3566i	1.50496	+	1.19349i
$736$	−4.63804			−0.170960
$737$	8.60312	+	3.37648i	0.316900	+	0.124374i
$738$	2.33229	−	17.4611i	0.0858526	−	0.642752i
$739$	−39.8189	−	36.9465i	−1.46476	−	1.35910i	−0.761475	−	0.648194i	$-0.775525\pi$
$739$	−39.8189	−	36.9465i	−1.46476	−	1.35910i	−0.703286	−	0.710907i	$-0.748285\pi$
$740$	−0.980757	−	0.668668i	−0.0360533	−	0.0245807i
$741$	0.907481	+	2.85649i	0.0333372	+	0.104936i
$742$	−0.975621	−	13.5355i	−0.0358162	−	0.496905i
$743$	22.8475	+	47.4434i	0.838195	+	1.74053i	0.652302	+	0.757959i	$0.273803\pi$
$743$	22.8475	+	47.4434i	0.838195	+	1.74053i	0.185893	+	0.982570i	$0.440482\pi$
$744$	−2.92546	−	4.21429i	−0.107252	−	0.154503i
$745$	35.5683	+	52.1691i	1.30312	+	1.91133i
$746$	0.519670	+	3.44778i	0.0190265	+	0.126232i
$747$	22.9503	+	27.8065i	0.839709	+	1.01739i
$748$	−12.5050	+	9.97244i	−0.457230	+	0.364629i
$749$	37.4073	+	21.7393i	1.36683	+	0.794337i
$750$	−5.22230	−	62.6175i	−0.190691	−	2.28647i
$751$	0.532023	+	7.09936i	0.0194138	+	0.259059i	0.998462	+	0.0554327i	$0.0176538\pi$
$751$	0.532023	+	7.09936i	0.0194138	+	0.259059i	−0.979049	+	0.203627i	$0.934727\pi$
$752$	−0.463361	−	0.142928i	−0.0168970	−	0.00521205i
$753$	2.52479	−	0.598644i	0.0920085	−	0.0218158i
$754$	−4.65628	+	2.68831i	−0.169572	+	0.0979023i
$755$	−13.0400	−	57.1320i	−0.474574	−	2.07925i
$756$	−10.9375	−	8.32892i	−0.397793	−	0.302920i
$757$	0.955501	−	4.18632i	0.0347283	−	0.152154i	−0.954591	−	0.297920i	$-0.903707\pi$
$757$	0.955501	−	4.18632i	0.0347283	−	0.152154i	0.989319	+	0.145765i	$0.0465644\pi$
$758$	6.85978	+	22.2389i	0.249158	+	0.807752i
$759$	−7.30016	+	15.4908i	−0.264979	+	0.562279i
$760$	3.41700	+	8.70636i	0.123947	+	0.315813i
$761$	50.7348	−	15.6496i	1.83913	−	0.567298i	0.839417	−	0.543488i	$-0.182897\pi$
$761$	50.7348	−	15.6496i	1.83913	−	0.567298i	0.999717	−	0.0238098i	$-0.00757962\pi$
$762$	−5.27619	−	8.96373i	−0.191136	−	0.324722i
$763$	−6.04516	+	26.1425i	−0.218850	+	0.946420i
$764$	19.7045	−	4.49742i	0.712883	−	0.162711i
$765$	−86.3853	+	43.4052i	−3.12327	+	1.56932i
$766$	−25.4436	−	14.6899i	−0.919316	−	0.530767i
$767$	0.940715	−	3.04972i	0.0339673	−	0.110119i
$768$	−1.16738	+	1.27954i	−0.0421241	+	0.0461715i
$769$	16.3007	+	12.9994i	0.587820	+	0.468771i	0.871667	−	0.490099i	$-0.163039\pi$
$769$	16.3007	+	12.9994i	0.587820	+	0.468771i	−0.283847	+	0.958870i	$0.591611\pi$
$770$	−8.78562	−	22.5741i	−0.316612	−	0.813513i
$771$	−3.86532	+	27.1942i	−0.139206	+	0.979374i
$772$	15.9413	−	14.7913i	0.573739	−	0.532352i
$773$	−22.0254	+	3.31980i	−0.792200	+	0.119405i	−0.532662	−	0.846328i	$-0.678808\pi$
$773$	−22.0254	+	3.31980i	−0.792200	+	0.119405i	−0.259538	+	0.965733i	$0.583570\pi$
$774$	11.5667	−	6.93993i	0.415756	−	0.249451i
$775$	5.93597	−	39.3826i	0.213226	−	1.41467i
$776$	−3.17533	+	1.52916i	−0.113988	+	0.0548935i
$777$	−1.10033	−	0.627143i	−0.0394742	−	0.0224986i
$778$	−2.31106	−	1.11295i	−0.0828554	−	0.0399010i
$779$	−7.20333	+	10.5653i	−0.258086	+	0.378543i
$780$	−5.91109	+	0.0496993i	−0.211651	+	0.00177952i
$781$	−0.387088	+	5.16533i	−0.0138511	+	0.184830i
$782$	−12.7138	+	32.3943i	−0.454645	+	1.15842i
$783$	22.6071	+	26.9262i	0.807910	+	0.962264i
$784$	4.39551	−	5.44789i	0.156982	−	0.194568i
$785$		−	88.8317i		−	3.17054i
$786$	−6.65055	−	16.5352i	−0.237217	−	0.589790i
$787$	28.3938	+	2.12782i	1.01213	+	0.0758485i	0.570456	−	0.821328i	$-0.306766\pi$
$787$	28.3938	+	2.12782i	1.01213	+	0.0758485i	0.441672	+	0.897177i	$0.354385\pi$
$788$	2.70701	−	2.91746i	0.0964333	−	0.103930i
$789$	34.4412	−	5.48771i	1.22614	−	0.195368i
$790$	18.8112	−	39.0618i	0.669272	−	1.38976i
$791$	−32.9068	+	18.8741i	−1.17003	+	0.671086i
$792$	2.43617	+	5.91294i	0.0865657	+	0.210107i
$793$	−1.26602	−	0.190821i	−0.0449576	−	0.00677627i
$794$	14.6204	−	9.96803i	0.518859	−	0.353752i
$795$	−23.5386	+	30.0310i	−0.834829	+	1.06509i
$796$	−5.13145	−	5.53039i	−0.181880	−	0.196020i
$797$	−9.50531	−	11.9193i	−0.336695	−	0.422202i	0.584445	−	0.811433i	$-0.301312\pi$
$797$	−9.50531	−	11.9193i	−0.336695	−	0.422202i	−0.921140	+	0.389231i	$0.872741\pi$
$798$	4.37977	+	8.96676i	0.155042	+	0.317420i
$799$	−2.26845	+	2.84454i	−0.0802519	+	0.100633i
$800$	−13.4090	+	1.00487i	−0.474080	+	0.0355274i
$801$	−5.65247	+	15.1463i	−0.199720	+	0.535168i
$802$	3.37650	−	5.84827i	0.119228	−	0.206509i
$803$	−13.1950	−	22.8545i	−0.465643	−	0.806517i
$804$	4.17780	−	6.23979i	0.147340	−	0.220060i
$805$	−41.1118	−	32.9774i	−1.44900	−	1.16230i
$806$	−2.29460	−	0.523727i	−0.0808237	−	0.0184475i
$807$	−30.9469	−	17.5220i	−1.08938	−	0.616802i
$808$	−9.44055	+	3.70514i	−0.332118	+	0.130347i
$809$	39.3006	−	15.4243i	1.38173	−	0.542291i	0.446012	−	0.895027i	$-0.352844\pi$
$809$	39.3006	−	15.4243i	1.38173	−	0.542291i	0.935723	+	0.352736i	$0.114749\pi$
$810$	7.04311	+	38.0075i	0.247470	+	1.33545i
$811$	46.4336	+	10.5982i	1.63050	+	0.372152i	0.937282	−	0.348572i	$-0.113333\pi$
$811$	46.4336	+	10.5982i	1.63050	+	0.372152i	0.693222	+	0.720724i	$0.256191\pi$
$812$	−14.0278	+	11.1216i	−0.492279	+	0.390293i
$813$	23.7680	+	15.9137i	0.833580	+	0.558117i
$814$	0.294575	+	0.510219i	0.0103249	+	0.0178832i
$815$	−35.7783	+	61.9698i	−1.25326	+	2.17071i
$816$	5.73692	+	11.6610i	0.200833	+	0.408217i
$817$	−9.76400	+	0.731711i	−0.341599	+	0.0255993i
$818$	−0.550725	+	0.690587i	−0.0192556	+	0.0241458i
$819$	−6.28233	+	0.559148i	−0.219522	+	0.0195382i
$820$	−15.7245	−	19.7179i	−0.549125	−	0.688581i
$821$	−12.2734	−	13.2276i	−0.428344	−	0.461645i	0.481591	−	0.876396i	$-0.340059\pi$
$821$	−12.2734	−	13.2276i	−0.428344	−	0.461645i	−0.909935	+	0.414751i	$0.863869\pi$
$822$	12.1011	+	9.48499i	0.422075	+	0.330827i
$823$	−11.5484	+	7.87354i	−0.402551	+	0.274454i	−0.747625	−	0.664121i	$-0.768806\pi$
$823$	−11.5484	+	7.87354i	−0.402551	+	0.274454i	0.345075	+	0.938575i	$0.387854\pi$
$824$	10.5798	+	1.59465i	0.368566	+	0.0555524i
$825$	−17.7493	+	46.3669i	−0.617950	+	1.61429i
$826$	1.61366	−	10.5031i	0.0561465	−	0.365448i
$827$	2.98839	−	6.20545i	0.103916	−	0.215785i	−0.842527	−	0.538654i	$-0.818933\pi$
$827$	2.98839	−	6.20545i	0.103916	−	0.215785i	0.946444	+	0.322869i	$0.104647\pi$
$828$	11.0228	+	8.49116i	0.383069	+	0.295088i
$829$	6.85228	−	7.38500i	0.237989	−	0.256492i	−0.602752	−	0.797929i	$-0.705929\pi$
$829$	6.85228	−	7.38500i	0.237989	−	0.256492i	0.840741	+	0.541437i	$0.182120\pi$
$830$	51.4729	+	3.85736i	1.78665	+	0.133891i
$831$	0.762606	−	0.306725i	0.0264545	−	0.0106402i
$832$			0.794628i			0.0275488i
$833$	−26.0017	−	45.6341i	−0.900906	−	1.58113i
$834$	−0.993339	−	1.05267i	−0.0343965	−	0.0364511i
$835$	0.716552	−	1.82575i	0.0247973	−	0.0631825i
$836$	0.346906	−	4.62914i	0.0119980	−	0.160102i
$837$	−0.762700	+	15.3716i	−0.0263628	+	0.531319i
$838$	8.23773	−	12.0825i	0.284568	−	0.417384i
$839$	9.90200	+	4.76855i	0.341855	+	0.164629i	0.596932	−	0.802292i	$-0.296386\pi$
$839$	9.90200	+	4.76855i	0.341855	+	0.164629i	−0.255077	+	0.966921i	$0.582101\pi$
$840$	−19.4455	+	3.04164i	−0.670933	+	0.104947i
$841$	15.1196	−	7.28119i	0.521364	−	0.251076i
$842$	−4.86523	+	32.2787i	−0.167667	+	1.11240i
$843$	−6.11510	+	27.8701i	−0.210615	+	0.959896i
$844$	1.93273	−	0.291312i	0.0665272	−	0.0100274i
$845$	38.9415	−	36.1324i	1.33963	−	1.24299i
$846$	0.839563	+	1.18799i	0.0288648	+	0.0408440i
$847$	1.32489	−	17.0290i	0.0455237	−	0.585123i
$848$	4.01018	+	3.19802i	0.137710	+	0.109820i
$849$	35.8567	+	32.7135i	1.23060	+	1.12272i
$850$	−29.7384	+	96.4095i	−1.02002	+	3.30682i
$851$	1.11010	+	0.640917i	0.0380537	+	0.0219703i
$852$	4.03199	+	1.20667i	0.138134	+	0.0413400i
$853$	−16.9382	+	3.86604i	−0.579953	+	0.132371i	−0.502427	−	0.864620i	$-0.667559\pi$
$853$	−16.9382	+	3.86604i	−0.579953	+	0.132371i	−0.0775265	+	0.996990i	$0.524702\pi$
$854$	−4.26286	−	0.0121308i	−0.145872	−	0.000415106i
$855$	7.81844	−	26.9474i	0.267385	−	0.921581i
$856$	−15.6263	+	4.82008i	−0.534097	+	0.164747i
$857$	−14.6614	−	37.3568i	−0.500826	−	1.27608i	−0.928225	−	0.372020i	$-0.878665\pi$
$857$	−14.6614	−	37.3568i	−0.500826	−	1.27608i	0.427399	−	0.904063i	$-0.359430\pi$
$858$	2.65401	+	1.25073i	0.0906064	+	0.0426991i
$859$	−5.46299	−	17.7106i	−0.186395	−	0.604277i	−0.999747	−	0.0225051i	$-0.992836\pi$
$859$	−5.46299	−	17.7106i	−0.186395	−	0.604277i	0.813352	−	0.581772i	$-0.197640\pi$
$860$	4.29719	−	18.8272i	0.146533	−	0.642004i
$861$	−18.4123	−	19.6237i	−0.627490	−	0.668774i
$862$	3.11933	+	13.6667i	0.106245	+	0.465489i
$863$	−39.6901	+	22.9151i	−1.35107	+	0.780039i	−0.988399	−	0.151879i	$-0.951468\pi$
$863$	−39.6901	+	22.9151i	−1.35107	+	0.780039i	−0.362668	+	0.931918i	$0.618134\pi$
$864$	5.11695	−	0.903784i	0.174082	−	0.0307474i
$865$	58.8021	+	18.1381i	1.99933	+	0.616713i
$866$	−0.265729	−	3.54591i	−0.00902985	−	0.120495i
$867$	67.8293	−	5.65696i	2.30360	−	0.192121i
$868$	−7.81283	−	0.607853i	−0.265185	−	0.0206319i
$869$	−16.8239	+	13.4166i	−0.570712	+	0.455127i
$870$	50.2233	+	3.33935i	1.70273	+	0.113214i
$871$	−0.513464	−	3.40661i	−0.0173981	−	0.115429i
$872$	−5.71300	−	8.37943i	−0.193466	−	0.283763i
$873$	10.3461	+	2.17907i	0.350161	+	0.0737503i
$874$	−4.38223	−	9.09980i	−0.148231	−	0.307805i
$875$	−79.1498	−	54.2940i	−2.67575	−	1.83547i
$876$	−20.4359	+	6.49229i	−0.690464	+	0.219354i
$877$	−33.1618	−	22.6094i	−1.11980	−	0.763464i	−0.145639	−	0.989338i	$-0.546524\pi$
$877$	−33.1618	−	22.6094i	−1.11980	−	0.763464i	−0.974157	+	0.225874i	$0.927476\pi$
$878$	−20.7361	−	19.2403i	−0.699811	−	0.649329i
$879$	5.42726	−	4.40325i	0.183057	−	0.148518i
$880$	8.52271	+	3.34492i	0.287300	+	0.112757i
$881$	−47.8384			−1.61172			−0.805858	−	0.592109i	$-0.798296\pi$
$881$	−47.8384			−1.61172			−0.805858	+	0.592109i	$0.798296\pi$
$882$	−20.4202	+	4.90039i	−0.687585	+	0.165005i
$883$	13.3252			0.448428			0.224214	−	0.974540i	$-0.428019\pi$
$883$	13.3252			0.448428			0.224214	+	0.974540i	$0.428019\pi$
$884$	5.55007	+	2.17824i	0.186669	+	0.0732622i
$885$	−23.2021	+	18.8244i	−0.779931	+	0.632774i
$886$	−11.7267	−	10.8808i	−0.393966	−	0.365547i
$887$	−14.6808	−	10.0092i	−0.492934	−	0.336077i	0.291206	−	0.956660i	$-0.405943\pi$
$887$	−14.6808	−	10.0092i	−0.492934	−	0.336077i	−0.784140	+	0.620584i	$0.786896\pi$
$888$	0.456225	−	0.144938i	0.0153099	−	0.00486381i
$889$	−15.7040	−	2.41271i	−0.526694	−	0.0809198i
$890$	10.0422	+	20.8529i	0.336617	+	0.698992i
$891$	5.03537	−	18.5128i	0.168691	−	0.620204i
$892$	−8.81724	−	12.9325i	−0.295223	−	0.433012i
$893$	−0.157381	−	1.04416i	−0.00526656	−	0.0349414i
$894$	−25.4069	−	1.68930i	−0.849735	−	0.0564988i
$895$	1.77056	−	1.41197i	0.0591831	−	0.0471970i
$896$	0.386882	+	2.61731i	0.0129248	+	0.0874383i
$897$	6.36141	−	0.530542i	0.212401	−	0.0177143i
$898$	−0.362216	−	4.83343i	−0.0120873	−	0.161294i
$899$	19.1504	+	5.90712i	0.638703	+	0.197014i
$900$	33.7077	+	22.1606i	1.12359	+	0.738686i
$901$	33.3292	−	19.2426i	1.11036	−	0.641065i
$902$	2.78542	+	12.2037i	0.0927442	+	0.406339i
$903$	2.95760	−	20.3913i	0.0984227	−	0.678580i
$904$	3.19055	−	13.9787i	0.106116	−	0.464925i
$905$	6.14054	+	19.9072i	0.204119	+	0.661736i
$906$	21.3776	+	10.0744i	0.710223	+	0.334699i
$907$	−7.04499	−	17.9503i	−0.233925	−	0.596031i	0.764918	−	0.644128i	$-0.222780\pi$
$907$	−7.04499	−	17.9503i	−0.233925	−	0.596031i	−0.998843	+	0.0480967i	$0.984684\pi$
$908$	19.4216	−	5.99078i	0.644530	−	0.198811i
$909$	29.2198	+	8.47776i	0.969160	+	0.281189i
$910$	−5.64996	+	7.04362i	−0.187294	+	0.233494i
$911$	−0.656364	+	0.149811i	−0.0217463	+	0.00496345i	−0.233380	−	0.972386i	$-0.574979\pi$
$911$	−0.656364	+	0.149811i	−0.0217463	+	0.00496345i	0.211634	+	0.977349i	$0.432122\pi$
$912$	−3.61345	−	1.08142i	−0.119653	−	0.0358092i
$913$	−22.1869	−	12.8096i	−0.734278	−	0.423936i
$914$	5.48506	−	17.7821i	0.181430	−	0.588181i
$915$	8.85456	+	8.07836i	0.292723	+	0.267062i
$916$	−21.0912	−	16.8197i	−0.696873	−	0.555737i
$917$	−25.9919	−	8.09851i	−0.858328	−	0.267436i
$918$	7.71416	−	38.2167i	0.254605	−	1.26134i
$919$	9.04031	−	8.38819i	0.298212	−	0.276701i	−0.516847	−	0.856078i	$-0.672895\pi$
$919$	9.04031	−	8.38819i	0.298212	−	0.276701i	0.815060	+	0.579377i	$0.196704\pi$
$920$	19.6976	−	2.96894i	0.649412	−	0.0978831i
$921$	−3.83145	+	17.4622i	−0.126251	+	0.575398i
$922$	−0.840105	+	5.57373i	−0.0276674	+	0.183561i
$923$	1.73964	−	0.837766i	0.0572609	−	0.0275754i
$924$	9.35061	+	2.82742i	0.307612	+	0.0930154i
$925$	3.34826	+	1.61244i	0.110090	+	0.0530167i
$926$	16.0109	−	23.4837i	0.526152	−	0.771724i
$927$	−22.2247	−	23.1591i	−0.729956	−	0.760644i
$928$	0.505639	−	6.74728i	0.0165984	−	0.221490i
$929$	1.00297	−	2.55554i	0.0329065	−	0.0838445i	−0.913476	−	0.406893i	$-0.866612\pi$
$929$	1.00297	−	2.55554i	0.0329065	−	0.0838445i	0.946383	+	0.323048i	$0.104708\pi$
$930$	15.1220	+	16.0253i	0.495871	+	0.525491i
$931$	14.8418	+	3.47653i	0.486421	+	0.113939i
$932$		−	5.86976i		−	0.192270i
$933$	−6.13071	+	2.46581i	−0.200711	+	0.0807270i
$934$	35.9995	+	2.69779i	1.17794	+	0.0882743i
$935$	46.7250	−	50.3576i	1.52807	−	1.64687i
$936$	1.45478	−	1.88852i	0.0475509	−	0.0617283i
$937$	−25.6194	+	53.1992i	−0.836948	+	1.73794i	−0.180492	+	0.983576i	$0.557769\pi$
$937$	−25.6194	+	53.1992i	−0.836948	+	1.73794i	−0.656456	+	0.754364i	$0.727945\pi$
$938$	−3.34981	−	10.9706i	−0.109375	−	0.358201i
$939$	−1.81152	+	4.73229i	−0.0591168	+	0.154432i
$940$	2.05938	+	0.310401i	0.0671695	+	0.0101242i
$941$	−14.0967	+	9.61097i	−0.459539	+	0.313309i	−0.770869	−	0.636993i	$-0.780178\pi$
$941$	−14.0967	+	9.61097i	−0.459539	+	0.313309i	0.311330	+	0.950302i	$0.399226\pi$
$942$	28.1949	+	22.0994i	0.918639	+	0.720039i
$943$	18.5244	+	19.9645i	0.603237	+	0.650135i
$944$	2.50416	+	3.14012i	0.0815035	+	0.102202i
$945$	51.7830	+	28.3713i	1.68450	+	0.922920i
$946$	−5.97605	+	7.49373i	−0.194298	+	0.243642i
$947$	50.5012	−	3.78454i	1.64107	−	0.122981i	0.778067	−	0.628181i	$-0.216200\pi$
$947$	50.5012	−	3.78454i	1.64107	−	0.122981i	0.863002	+	0.505200i	$0.168581\pi$
$948$	7.71827	+	15.6884i	0.250678	+	0.509534i
$949$	−4.91865	+	8.51935i	−0.159666	+	0.276550i
$950$	−14.6410	−	25.3589i	−0.475016	−	0.822752i
$951$	−19.8367	−	13.2815i	−0.643248	−	0.430682i
$952$	19.3411	+	4.47242i	0.626849	+	0.144952i
$953$	−2.94094	−	0.671250i	−0.0952663	−	0.0217439i	0.174622	−	0.984636i	$-0.444130\pi$
$953$	−2.94094	−	0.671250i	−0.0952663	−	0.0217439i	−0.269888	+	0.962892i	$0.586987\pi$
$954$	−3.67584	−	14.9422i	−0.119010	−	0.483770i
$955$	−80.8055	+	31.7138i	−2.61481	+	1.02624i
$956$	4.32554	−	1.69765i	0.139898	−	0.0549060i
$957$	−21.7396	−	12.3089i	−0.702743	−	0.397889i
$958$	37.1970	+	8.48997i	1.20178	+	0.274298i
$959$	22.9122	−	5.16101i	0.739874	−	0.166658i
$960$	4.13875	−	6.18147i	0.133578	−	0.199506i
$961$	−11.1136	−	19.2493i	−0.358503	−	0.620945i
$962$	0.109807	−	0.190192i	0.00354033	−	0.00613203i
$963$	45.9622	+	17.1527i	1.48111	+	0.552737i
$964$	−1.30888	+	0.0980866i	−0.0421560	+	0.00315916i
$965$	−58.2339	+	73.0230i	−1.87462	+	2.35069i
$966$	20.6946	−	4.84467i	0.665839	−	0.155875i
$967$	−34.8288	−	43.6740i	−1.12002	−	1.40446i	−0.903715	−	0.428135i	$-0.859171\pi$
$967$	−34.8288	−	43.6740i	−1.12002	−	1.40446i	−0.216305	−	0.976326i	$-0.569401\pi$
$968$	4.39106	+	4.73244i	0.141134	+	0.152106i
$969$	−17.4583	+	22.2737i	−0.560843	+	0.715534i
$970$	12.5067	−	8.52692i	0.401566	−	0.273783i
$971$	37.8821	+	5.70981i	1.21570	+	0.183237i	0.725405	−	0.688322i	$-0.241652\pi$
$971$	37.8821	+	5.70981i	1.21570	+	0.183237i	0.490291	+	0.871559i	$0.336891\pi$
$972$	−13.8156	−	7.22000i	−0.443137	−	0.231581i
$973$	−2.20515	+	0.158944i	−0.0706940	+	0.00509552i
$974$	0.872524	−	1.81181i	0.0279575	−	0.0580543i
$975$	18.2765	−	2.91209i	0.585316	−	0.0932617i
$976$	1.09591	−	1.18111i	0.0350791	−	0.0378063i
$977$	−53.9260	−	4.04119i	−1.72525	−	0.129289i	−0.825130	−	0.564942i	$-0.808898\pi$
$977$	−53.9260	−	4.04119i	−1.72525	−	0.129289i	−0.900115	+	0.435653i	$0.856517\pi$
$978$	−10.7681	−	26.7727i	−0.344327	−	0.856096i
$979$		−	11.4876i		−	0.367144i
$980$	−15.1803	+	25.9508i	−0.484916	+	0.828967i
$981$	−1.76319	+	30.3738i	−0.0562943	+	0.969762i
$982$	6.57850	−	16.7618i	0.209928	−	0.534889i
$983$	2.17575	−	29.0334i	0.0693957	−	0.926021i	−0.848499	−	0.529197i	$-0.822493\pi$
$983$	2.17575	−	29.0334i	0.0693957	−	0.926021i	0.917895	−	0.396824i	$-0.129888\pi$
$984$	10.1703	−	0.0855104i	0.324219	−	0.00272597i
$985$	−9.62907	+	14.1232i	−0.306808	+	0.450004i
$986$	−45.7402	−	22.0273i	−1.45666	−	0.701493i
$987$	2.21679	+	0.153731i	0.0705611	+	0.00489332i
$988$	−1.55905	+	0.750801i	−0.0496001	+	0.0238862i
$989$	−3.10813	+	20.6211i	−0.0988329	+	0.655713i
$990$	−14.1314	−	23.5527i	−0.449126	−	0.748553i
$991$	−4.24626	+	0.640021i	−0.134887	+	0.0203309i	−0.216139	−	0.976363i	$-0.569346\pi$
$991$	−4.24626	+	0.640021i	−0.134887	+	0.0203309i	0.0812517	+	0.996694i	$0.474108\pi$
$992$	2.17122	−	2.01460i	0.0689364	−	0.0639637i
$993$	7.01298	−	49.3393i	0.222550	−	1.56574i
$994$	5.32206	−	3.60638i	0.168806	−	0.114387i
$995$	25.3333	+	20.2027i	0.803121	+	0.640468i
$996$	−14.0297	+	15.3777i	−0.444548	+	0.487261i
$997$	−0.526751	+	1.70769i	−0.0166824	+	0.0540829i	−0.963531	−	0.267596i	$-0.913771\pi$
$997$	−0.526751	+	1.70769i	−0.0166824	+	0.0540829i	0.946849	+	0.321679i	$0.104247\pi$
$998$	−16.5913	−	9.57897i	−0.525187	−	0.303217i
$999$	−1.34962	−	0.490778i	−0.0427000	−	0.0155275i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	294.2.p.a.101.17	yes	216
3.2	odd	2	inner	294.2.p.a.101.7	✓	216
49.33	odd	42	inner	294.2.p.a.131.7	yes	216
147.131	even	42	inner	294.2.p.a.131.17	yes	216

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
294.2.p.a.101.7	✓	216	3.2	odd	2	inner
294.2.p.a.101.17	yes	216	1.1	even	1	trivial
294.2.p.a.131.7	yes	216	49.33	odd	42	inner
294.2.p.a.131.17	yes	216	147.131	even	42	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 294 = 2 \cdot 3 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	294.p (of order \(42\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(0.930874 + 0.365341i) q^{2} +(1.34504 - 1.09126i) q^{3} +(0.733052 + 0.680173i) q^{4} +(-3.54865 - 2.41943i) q^{5} +(1.65075 - 0.524428i) q^{6} +(0.973606 - 2.46010i) q^{7} +(0.433884 + 0.900969i) q^{8} +(0.618290 - 2.93559i) q^{9} +O(q^{10})\)	\(q+(0.930874 + 0.365341i) q^{2} +(1.34504 - 1.09126i) q^{3} +(0.733052 + 0.680173i) q^{4} +(-3.54865 - 2.41943i) q^{5} +(1.65075 - 0.524428i) q^{6} +(0.973606 - 2.46010i) q^{7} +(0.433884 + 0.900969i) q^{8} +(0.618290 - 2.93559i) q^{9} +(-2.41943 - 3.54865i) q^{10} +(0.317715 + 2.10790i) q^{11} +(1.72823 + 0.114910i) q^{12} +(0.621265 - 0.495442i) q^{13} +(1.80508 - 1.93434i) q^{14} +(-7.41334 + 0.618272i) q^{15} +(0.0747301 + 0.997204i) q^{16} +(7.16980 + 2.21159i) q^{17} +(1.64804 - 2.50678i) q^{18} +(-1.88590 + 1.08882i) q^{19} +(-0.955716 - 4.18727i) q^{20} +(-1.37507 - 4.37140i) q^{21} +(-0.474351 + 2.07827i) q^{22} +(1.36709 + 4.43198i) q^{23} +(1.56679 + 0.738362i) q^{24} +(4.91260 + 12.5171i) q^{25} +(0.759325 - 0.234221i) q^{26} +(-2.37188 - 4.62322i) q^{27} +(2.38700 - 1.14116i) q^{28} +(-6.59656 + 1.50562i) q^{29} +(-7.12676 - 2.13286i) q^{30} +(-2.56508 - 1.48095i) q^{31} +(-0.294755 + 0.955573i) q^{32} +(2.72762 + 2.48851i) q^{33} +(5.86620 + 4.67814i) q^{34} +(-9.40704 + 6.37447i) q^{35} +(2.44995 - 1.73140i) q^{36} +(0.202597 - 0.187982i) q^{37} +(-2.15333 + 0.324562i) q^{38} +(0.294971 - 1.34436i) q^{39} +(0.640129 - 4.24698i) q^{40} +(5.29054 - 2.54779i) q^{41} +(0.317034 - 4.57160i) q^{42} +(4.05103 + 1.95087i) q^{43} +(-1.20084 + 1.76130i) q^{44} +(-9.29657 + 8.92150i) q^{45} +(-0.346601 + 4.62507i) q^{46} +(-0.177155 + 0.451384i) q^{47} +(1.18873 + 1.25973i) q^{48} +(-5.10418 - 4.79034i) q^{49} +13.4466i q^{50} +(12.0571 - 4.84945i) q^{51} +(0.792406 + 0.0593826i) q^{52} +(3.48875 - 3.75998i) q^{53} +(-0.518867 - 5.17018i) q^{54} +(3.97247 - 8.24891i) q^{55} +(2.63891 - 0.190209i) q^{56} +(-1.34842 + 3.52253i) q^{57} +(-6.69063 - 1.00845i) q^{58} +(3.31847 - 2.26250i) q^{59} +(-5.85489 - 4.58912i) q^{60} +(-1.09591 - 1.18111i) q^{61} +(-1.84671 - 2.31570i) q^{62} +(-6.61989 - 4.37917i) q^{63} +(-0.623490 + 0.781831i) q^{64} +(-3.40334 + 0.255045i) q^{65} +(1.62991 + 3.31300i) q^{66} +(2.16774 - 3.75463i) q^{67} +(3.75157 + 6.49792i) q^{68} +(6.67525 + 4.46936i) q^{69} +(-11.0856 + 2.49705i) q^{70} +(2.36896 + 0.540700i) q^{71} +(2.91315 - 0.716647i) q^{72} +(-11.5240 + 4.52283i) q^{73} +(0.257269 - 0.100971i) q^{74} +(20.2671 + 11.4751i) q^{75} +(-2.12305 - 0.484572i) q^{76} +(5.49498 + 1.27066i) q^{77} +(0.765729 - 1.14366i) q^{78} +(5.04725 + 8.74209i) q^{79} +(2.14748 - 3.71954i) q^{80} +(-8.23544 - 3.63010i) q^{81} +(5.85564 - 0.438819i) q^{82} +(-7.49318 + 9.39615i) q^{83} +(1.96531 - 4.13975i) q^{84} +(-20.0924 - 25.1950i) q^{85} +(3.05827 + 3.29603i) q^{86} +(-7.22963 + 9.22370i) q^{87} +(-1.76130 + 1.20084i) q^{88} +(-5.32870 - 0.803172i) q^{89} +(-11.9133 + 4.90837i) q^{90} +(-0.613970 - 2.01074i) q^{91} +(-2.01237 + 4.17873i) q^{92} +(-5.06625 + 0.807233i) q^{93} +(-0.329818 + 0.355460i) q^{94} +(9.32674 + 0.698943i) q^{95} +(0.646322 + 1.60694i) q^{96} +3.52435i q^{97} +(-3.00124 - 6.32397i) q^{98} +(6.38439 + 0.370612i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 216 q - 18 q^{4} + 14 q^{6} + 10 q^{7} + 16 q^{9}+O(q^{10}) \) 216 * q - 18 * q^4 + 14 * q^6 + 10 * q^7 + 16 * q^9	\( 216 q - 18 q^{4} + 14 q^{6} + 10 q^{7} + 16 q^{9} + 6 q^{10} - 12 q^{15} + 18 q^{16} - 4 q^{18} - 12 q^{19} + 10 q^{22} - 6 q^{24} + 16 q^{25} - 42 q^{27} + 2 q^{28} + 4 q^{30} + 6 q^{31} + 18 q^{33} - 10 q^{36} - 36 q^{37} + 4 q^{39} - 22 q^{40} + 20 q^{42} + 40 q^{43} - 14 q^{45} - 156 q^{46} - 134 q^{49} - 12 q^{51} + 16 q^{52} - 18 q^{54} - 322 q^{55} - 34 q^{57} - 164 q^{58} - 6 q^{60} + 56 q^{61} - 24 q^{63} + 36 q^{64} - 28 q^{69} - 4 q^{70} + 4 q^{72} - 24 q^{73} + 84 q^{75} + 16 q^{78} + 22 q^{79} - 52 q^{81} + 24 q^{82} + 42 q^{84} + 32 q^{85} - 94 q^{87} - 2 q^{88} + 42 q^{90} - 100 q^{91} - 266 q^{93} - 88 q^{94} - 6 q^{96} + 224 q^{99}+O(q^{100}) \) 216 * q - 18 * q^4 + 14 * q^6 + 10 * q^7 + 16 * q^9 + 6 * q^10 - 12 * q^15 + 18 * q^16 - 4 * q^18 - 12 * q^19 + 10 * q^22 - 6 * q^24 + 16 * q^25 - 42 * q^27 + 2 * q^28 + 4 * q^30 + 6 * q^31 + 18 * q^33 - 10 * q^36 - 36 * q^37 + 4 * q^39 - 22 * q^40 + 20 * q^42 + 40 * q^43 - 14 * q^45 - 156 * q^46 - 134 * q^49 - 12 * q^51 + 16 * q^52 - 18 * q^54 - 322 * q^55 - 34 * q^57 - 164 * q^58 - 6 * q^60 + 56 * q^61 - 24 * q^63 + 36 * q^64 - 28 * q^69 - 4 * q^70 + 4 * q^72 - 24 * q^73 + 84 * q^75 + 16 * q^78 + 22 * q^79 - 52 * q^81 + 24 * q^82 + 42 * q^84 + 32 * q^85 - 94 * q^87 - 2 * q^88 + 42 * q^90 - 100 * q^91 - 266 * q^93 - 88 * q^94 - 6 * q^96 + 224 * q^99

Introduction

L-functions

Modular forms

Varieties

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Database

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