LMFDB - Embedded newform 77.2.l.b.13.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [77,2,Mod(6,77)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(77, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 9]))

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

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

chi := DirichletCharacter("77.6");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 77 = 7 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	77.l (of order $10$, 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:	$0.614848095564$
Analytic rank:	$0$
Dimension:	$16$
Relative dimension:	$4$ over $\Q(\zeta_{10})$
Coefficient field:	$\mathbb{Q}[x]/(x^{16} + \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{16} + 20x^{14} + 260x^{12} + 2030x^{10} + 11605x^{8} + 42100x^{6} + 106925x^{4} + 113575x^{2} + 87025 $ x^16 + 20x^14 + 260x^12 + 2030x^10 + 11605x^8 + 42100x^6 + 106925x^4 + 113575*x^2 + 87025
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			13.3
Root			$-1.17141 + 2.02895i$ of defining polynomial
Character	$\chi$	$=$	77.13
Dual form			77.2.l.b.6.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.478148 + 0.155360i) q^{2} +(-1.69284 - 2.32999i) q^{3} +(-1.41355 - 1.02700i) q^{4} +(0.572621 - 0.186056i) q^{5} +(-0.447440 - 1.37708i) q^{6} +(2.61795 + 0.382556i) q^{7} +(-1.10735 - 1.52414i) q^{8} +(-1.63611 + 5.03542i) q^{9} +O(q^{10})$	\(q+(0.478148 + 0.155360i) q^{2} +(-1.69284 - 2.32999i) q^{3} +(-1.41355 - 1.02700i) q^{4} +(0.572621 - 0.186056i) q^{5} +(-0.447440 - 1.37708i) q^{6} +(2.61795 + 0.382556i) q^{7} +(-1.10735 - 1.52414i) q^{8} +(-1.63611 + 5.03542i) q^{9} +0.302703 q^{10} +(3.19003 - 0.907591i) q^{11} +5.03209i q^{12} +(-0.723973 + 2.22816i) q^{13} +(1.19233 + 0.589642i) q^{14} +(-1.40286 - 1.01924i) q^{15} +(0.787165 + 2.42264i) q^{16} +(-0.353899 - 1.08919i) q^{17} +(-1.56460 + 2.15349i) q^{18} +(4.10418 - 2.98186i) q^{19} +(-1.00051 - 0.325084i) q^{20} +(-3.54041 - 6.74740i) q^{21} +(1.66631 + 0.0616389i) q^{22} -3.85410 q^{23} +(-1.67666 + 5.16024i) q^{24} +(-3.75181 + 2.72585i) q^{25} +(-0.692332 + 0.952913i) q^{26} +(6.28495 - 2.04210i) q^{27} +(-3.30770 - 3.22940i) q^{28} +(1.26909 - 1.74675i) q^{29} +(-0.512427 - 0.705295i) q^{30} +(5.93105 + 1.92711i) q^{31} +5.04855i q^{32} +(-7.51488 - 5.89633i) q^{33} -0.575775i q^{34} +(1.57027 - 0.268025i) q^{35} +(7.48410 - 5.43751i) q^{36} +(5.99527 + 4.35582i) q^{37} +(2.42566 - 0.788146i) q^{38} +(6.41716 - 2.08506i) q^{39} +(-0.917668 - 0.666725i) q^{40} +(-9.51380 + 6.91218i) q^{41} +(-0.644564 - 3.77629i) q^{42} +1.73205i q^{43} +(-5.44135 - 1.99324i) q^{44} +3.18780i q^{45} +(-1.84283 - 0.598772i) q^{46} +(-5.83204 - 8.02711i) q^{47} +(4.31220 - 5.93523i) q^{48} +(6.70730 + 2.00302i) q^{49} +(-2.21740 + 0.720478i) q^{50} +(-1.93871 + 2.66840i) q^{51} +(3.31169 - 2.40608i) q^{52} +(1.89169 - 5.82203i) q^{53} +3.32239 q^{54} +(1.65782 - 1.11323i) q^{55} +(-2.31592 - 4.41374i) q^{56} +(-13.8954 - 4.51489i) q^{57} +(0.878188 - 0.638041i) q^{58} +(-2.76409 + 3.80445i) q^{59} +(0.936251 + 2.88148i) q^{60} +(2.69125 + 8.28283i) q^{61} +(2.53652 + 1.84289i) q^{62} +(-6.20958 + 12.5566i) q^{63} +(0.789988 - 2.43133i) q^{64} +1.41059i q^{65} +(-2.67717 - 3.98683i) q^{66} -6.46905 q^{67} +(-0.618347 + 1.90308i) q^{68} +(6.52437 + 8.98002i) q^{69} +(0.792461 + 0.115801i) q^{70} +(1.64583 + 5.06536i) q^{71} +(9.48643 - 3.08233i) q^{72} +(-2.02057 - 1.46803i) q^{73} +(2.18990 + 3.01415i) q^{74} +(12.7024 + 4.12726i) q^{75} -8.86381 q^{76} +(8.69853 - 1.15566i) q^{77} +3.39228 q^{78} +(-1.13233 - 0.367916i) q^{79} +(0.901494 + 1.24080i) q^{80} +(-2.54732 - 1.85073i) q^{81} +(-5.62287 + 1.82698i) q^{82} +(-2.44298 - 7.51872i) q^{83} +(-1.92506 + 13.1738i) q^{84} +(-0.405301 - 0.557848i) q^{85} +(-0.269091 + 0.828176i) q^{86} -6.21828 q^{87} +(-4.91578 - 3.85702i) q^{88} +11.9963i q^{89} +(-0.495255 + 1.52424i) q^{90} +(-2.74772 + 5.55624i) q^{91} +(5.44795 + 3.95817i) q^{92} +(-5.55014 - 17.0816i) q^{93} +(-1.54149 - 4.74421i) q^{94} +(1.79535 - 2.47108i) q^{95} +(11.7631 - 8.54638i) q^{96} +(-5.53666 - 1.79897i) q^{97} +(2.89589 + 1.99978i) q^{98} +(-0.649125 + 17.5481i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 16 q - 10 q^{2} - 10 q^{4} - 10 q^{7} + 10 q^{8} + 8 q^{9}+O(q^{10}) $ 16 * q - 10 * q^2 - 10 * q^4 - 10 * q^7 + 10 * q^8 + 8 * q^9	$ 16 q - 10 q^{2} - 10 q^{4} - 10 q^{7} + 10 q^{8} + 8 q^{9} + 2 q^{11} + 8 q^{14} - 14 q^{16} - 20 q^{18} + 42 q^{22} - 8 q^{23} - 30 q^{25} - 10 q^{28} + 10 q^{29} - 40 q^{30} + 40 q^{35} + 20 q^{36} + 4 q^{37} + 30 q^{39} + 50 q^{42} - 10 q^{44} - 10 q^{46} + 8 q^{49} - 60 q^{50} - 10 q^{51} - 4 q^{56} - 90 q^{57} - 2 q^{58} + 120 q^{60} - 20 q^{63} - 38 q^{64} - 4 q^{67} - 56 q^{71} + 30 q^{72} + 90 q^{74} + 2 q^{77} - 20 q^{78} + 50 q^{79} - 16 q^{81} - 70 q^{84} + 80 q^{85} + 6 q^{86} - 86 q^{88} - 30 q^{91} + 20 q^{92} - 40 q^{93} - 60 q^{95} + 36 q^{99}+O(q^{100}) $ 16 * q - 10 * q^2 - 10 * q^4 - 10 * q^7 + 10 * q^8 + 8 * q^9 + 2 * q^11 + 8 * q^14 - 14 * q^16 - 20 * q^18 + 42 * q^22 - 8 * q^23 - 30 * q^25 - 10 * q^28 + 10 * q^29 - 40 * q^30 + 40 * q^35 + 20 * q^36 + 4 * q^37 + 30 * q^39 + 50 * q^42 - 10 * q^44 - 10 * q^46 + 8 * q^49 - 60 * q^50 - 10 * q^51 - 4 * q^56 - 90 * q^57 - 2 * q^58 + 120 * q^60 - 20 * q^63 - 38 * q^64 - 4 * q^67 - 56 * q^71 + 30 * q^72 + 90 * q^74 + 2 * q^77 - 20 * q^78 + 50 * q^79 - 16 * q^81 - 70 * q^84 + 80 * q^85 + 6 * q^86 - 86 * q^88 - 30 * q^91 + 20 * q^92 - 40 * q^93 - 60 * q^95 + 36 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/77\mathbb{Z}\right)^\times$.

$n$	$45$	$57$
$\chi(n)$	$-1$	$e\left(\frac{1}{10}\right)$

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 $

$2$	0.478148	+	0.155360i	0.338101	+	0.109856i	0.473147	−	0.880984i	$-0.343118\pi$
$2$	0.478148	+	0.155360i	0.338101	+	0.109856i	−0.135045	+	0.990839i	$0.543118\pi$
$3$	−1.69284	−	2.32999i	−0.977360	−	1.34522i	−0.938240	−	0.345986i	$-0.887544\pi$
$3$	−1.69284	−	2.32999i	−0.977360	−	1.34522i	−0.0391206	−	0.999234i	$-0.512456\pi$
$4$	−1.41355	−	1.02700i	−0.706773	−	0.513500i
$5$	0.572621	−	0.186056i	0.256084	−	0.0832067i	−0.178162	−	0.984001i	$-0.557015\pi$
$5$	0.572621	−	0.186056i	0.256084	−	0.0832067i	0.434246	+	0.900794i	$0.357015\pi$
$6$	−0.447440	−	1.37708i	−0.182667	−	0.562190i
$7$	2.61795	+	0.382556i	0.989491	+	0.144593i
$7$	2.61795	+	0.382556i	0.989491	+	0.144593i
$8$	−1.10735	−	1.52414i	−0.391508	−	0.538865i
$9$	−1.63611	+	5.03542i	−0.545369	+	1.67847i
$10$	0.302703			0.0957231
$11$	3.19003	−	0.907591i	0.961830	−	0.273649i
$11$	3.19003	−	0.907591i	0.961830	−	0.273649i
$12$			5.03209i			1.45264i
$13$	−0.723973	+	2.22816i	−0.200794	+	0.617980i	0.799066	+	0.601243i	$0.205328\pi$
$13$	−0.723973	+	2.22816i	−0.200794	+	0.617980i	−0.999860	+	0.0167368i	$0.994672\pi$
$14$	1.19233	+	0.589642i	0.318664	+	0.157588i
$15$	−1.40286	−	1.01924i	−0.362218	−	0.263167i
$16$	0.787165	+	2.42264i	0.196791	+	0.605661i
$17$	−0.353899	−	1.08919i	−0.0858332	−	0.264167i	0.898923	−	0.438106i	$-0.144351\pi$
$17$	−0.353899	−	1.08919i	−0.0858332	−	0.264167i	−0.984756	+	0.173939i	$0.944351\pi$
$18$	−1.56460	+	2.15349i	−0.368780	+	0.507582i
$19$	4.10418	−	2.98186i	0.941563	−	0.684085i	−0.00723361	−	0.999974i	$-0.502303\pi$
$19$	4.10418	−	2.98186i	0.941563	−	0.684085i	0.948796	+	0.315888i	$0.102303\pi$
$20$	−1.00051	−	0.325084i	−0.223720	−	0.0726910i
$21$	−3.54041	−	6.74740i	−0.772580	−	1.47240i
$22$	1.66631	+	0.0616389i	0.355258	+	0.0131414i
$23$	−3.85410			−0.803636			−0.401818	−	0.915720i	$-0.631622\pi$
$23$	−3.85410			−0.803636			−0.401818	+	0.915720i	$0.631622\pi$
$24$	−1.67666	+	5.16024i	−0.342248	+	1.05333i
$25$	−3.75181	+	2.72585i	−0.750361	+	0.545169i
$26$	−0.692332	+	0.952913i	−0.135777	+	0.186882i
$27$	6.28495	−	2.04210i	1.20954	−	0.393003i
$28$	−3.30770	−	3.22940i	−0.625097	−	0.610298i
$29$	1.26909	−	1.74675i	0.235664	−	0.324364i	−0.674762	−	0.738035i	$-0.735754\pi$
$29$	1.26909	−	1.74675i	0.235664	−	0.324364i	0.910426	+	0.413671i	$0.135754\pi$
$30$	−0.512427	−	0.705295i	−0.0935560	−	0.128769i
$31$	5.93105	+	1.92711i	1.06525	+	0.346120i	0.788635	−	0.614862i	$-0.210788\pi$
$31$	5.93105	+	1.92711i	1.06525	+	0.346120i	0.276613	+	0.960982i	$0.410788\pi$
$32$			5.04855i			0.892467i
$33$	−7.51488	−	5.89633i	−1.30817	−	1.02642i
$34$		−	0.575775i		−	0.0987447i
$35$	1.57027	−	0.268025i	0.265424	−	0.0453045i
$36$	7.48410	−	5.43751i	1.24735	−	0.906252i
$37$	5.99527	+	4.35582i	0.985616	+	0.716092i	0.958957	−	0.283553i	$-0.0915131\pi$
$37$	5.99527	+	4.35582i	0.985616	+	0.716092i	0.0266591	+	0.999645i	$0.491513\pi$
$38$	2.42566	−	0.788146i	0.393494	−	0.127854i
$39$	6.41716	−	2.08506i	1.02757	−	0.333877i
$40$	−0.917668	−	0.666725i	−0.145096	−	0.105418i
$41$	−9.51380	+	6.91218i	−1.48581	+	1.07950i	−0.510178	+	0.860069i	$0.670421\pi$
$41$	−9.51380	+	6.91218i	−1.48581	+	1.07950i	−0.975628	+	0.219432i	$0.929579\pi$
$42$	−0.644564	−	3.77629i	−0.0994584	−	0.582694i
$43$			1.73205i			0.264135i	0.991241	+	0.132068i	$0.0421616\pi$
$43$			1.73205i			0.264135i	−0.991241	+	0.132068i	$0.957838\pi$
$44$	−5.44135	−	1.99324i	−0.820314	−	0.300492i
$45$			3.18780i			0.475209i
$46$	−1.84283	−	0.598772i	−0.271710	−	0.0882841i
$47$	−5.83204	−	8.02711i	−0.850690	−	1.17087i	−0.983710	−	0.179761i	$-0.942468\pi$
$47$	−5.83204	−	8.02711i	−0.850690	−	1.17087i	0.133020	−	0.991113i	$-0.457532\pi$
$48$	4.31220	−	5.93523i	0.622412	−	0.856676i
$49$	6.70730	+	2.00302i	0.958186	+	0.286146i
$50$	−2.21740	+	0.720478i	−0.313588	+	0.101891i
$51$	−1.93871	+	2.66840i	−0.271474	+	0.373651i
$52$	3.31169	−	2.40608i	0.459249	−	0.333664i
$53$	1.89169	−	5.82203i	0.259844	−	0.799718i	−0.732992	−	0.680237i	$-0.761877\pi$
$53$	1.89169	−	5.82203i	0.259844	−	0.799718i	0.992836	−	0.119481i	$-0.0381230\pi$
$54$	3.32239			0.452120
$55$	1.65782	−	1.11323i	0.223540	−	0.150108i
$56$	−2.31592	−	4.41374i	−0.309478	−	0.589811i
$57$	−13.8954	−	4.51489i	−1.84049	−	0.598012i
$58$	0.878188	−	0.638041i	0.115312	−	0.0837788i
$59$	−2.76409	+	3.80445i	−0.359855	+	0.495297i	−0.950108	−	0.311921i	$-0.899028\pi$
$59$	−2.76409	+	3.80445i	−0.359855	+	0.495297i	0.590254	+	0.807218i	$0.299028\pi$
$60$	0.936251	+	2.88148i	0.120869	+	0.371998i
$61$	2.69125	+	8.28283i	0.344580	+	1.06051i	0.961808	+	0.273724i	$0.0882553\pi$
$61$	2.69125	+	8.28283i	0.344580	+	1.06051i	−0.617229	+	0.786784i	$0.711745\pi$
$62$	2.53652	+	1.84289i	0.322138	+	0.234047i
$63$	−6.20958	+	12.5566i	−0.782333	+	1.58198i
$64$	0.789988	−	2.43133i	0.0987485	−	0.303917i
$65$			1.41059i			0.174962i
$66$	−2.67717	−	3.98683i	−0.329537	−	0.490744i
$67$	−6.46905			−0.790320			−0.395160	−	0.918612i	$-0.629311\pi$
$67$	−6.46905			−0.790320			−0.395160	+	0.918612i	$0.629311\pi$
$68$	−0.618347	+	1.90308i	−0.0749855	+	0.230782i
$69$	6.52437	+	8.98002i	0.785442	+	1.08107i
$70$	0.792461	+	0.115801i	0.0947172	+	0.0138409i
$71$	1.64583	+	5.06536i	0.195325	+	0.601148i	0.999973	+	0.00739537i	$0.00235404\pi$
$71$	1.64583	+	5.06536i	0.195325	+	0.601148i	−0.804648	+	0.593752i	$0.797646\pi$
$72$	9.48643	−	3.08233i	1.11799	−	0.363256i
$73$	−2.02057	−	1.46803i	−0.236489	−	0.171820i	0.463228	−	0.886239i	$-0.346691\pi$
$73$	−2.02057	−	1.46803i	−0.236489	−	0.171820i	−0.699718	+	0.714419i	$0.746691\pi$
$74$	2.18990	+	3.01415i	0.254571	+	0.350387i
$75$	12.7024	+	4.12726i	1.46675	+	0.476575i
$76$	−8.86381			−1.01675
$77$	8.69853	−	1.15566i	0.991290	−	0.131700i
$78$	3.39228			0.384100
$79$	−1.13233	−	0.367916i	−0.127397	−	0.0413938i	0.244625	−	0.969618i	$-0.421335\pi$
$79$	−1.13233	−	0.367916i	−0.127397	−	0.0413938i	−0.372022	+	0.928224i	$0.621335\pi$
$80$	0.901494	+	1.24080i	0.100790	+	0.138726i
$81$	−2.54732	−	1.85073i	−0.283035	−	0.205637i
$82$	−5.62287	+	1.82698i	−0.620943	+	0.201756i
$83$	−2.44298	−	7.51872i	−0.268152	−	0.825287i	−0.990950	−	0.134228i	$-0.957145\pi$
$83$	−2.44298	−	7.51872i	−0.268152	−	0.825287i	0.722799	−	0.691059i	$-0.242855\pi$
$84$	−1.92506	+	13.1738i	−0.210041	+	1.43737i
$85$	−0.405301	−	0.557848i	−0.0439610	−	0.0605072i
$86$	−0.269091	+	0.828176i	−0.0290168	+	0.0893045i
$87$	−6.21828			−0.666670
$88$	−4.91578	−	3.85702i	−0.524024	−	0.411160i
$89$			11.9963i			1.27161i	0.771850	+	0.635804i	$0.219331\pi$
$89$			11.9963i			1.27161i	−0.771850	+	0.635804i	$0.780669\pi$
$90$	−0.495255	+	1.52424i	−0.0522044	+	0.160669i
$91$	−2.74772	+	5.55624i	−0.288039	+	0.582453i
$92$	5.44795	+	3.95817i	0.567988	+	0.412667i
$93$	−5.55014	−	17.0816i	−0.575523	−	1.77128i
$94$	−1.54149	−	4.74421i	−0.158992	−	0.489327i
$95$	1.79535	−	2.47108i	0.184199	−	0.253528i
$96$	11.7631	−	8.54638i	1.20056	−	0.872261i
$97$	−5.53666	−	1.79897i	−0.562162	−	0.182658i	0.0141316	−	0.999900i	$-0.495502\pi$
$97$	−5.53666	−	1.79897i	−0.562162	−	0.182658i	−0.576294	+	0.817243i	$0.695502\pi$
$98$	2.89589	+	1.99978i	0.292529	+	0.202009i
$99$	−0.649125	+	17.5481i	−0.0652395	+	1.76365i
$100$	8.10280			0.810280
$101$	4.46355	−	13.7374i	0.444140	−	1.36692i	−0.439285	−	0.898348i	$-0.644768\pi$
$101$	4.46355	−	13.7374i	0.444140	−	1.36692i	0.883425	−	0.468573i	$-0.155232\pi$
$102$	−1.34155	+	0.974694i	−0.132833	+	0.0965091i
$103$	−3.30213	+	4.54499i	−0.325369	+	0.447831i	−0.940097	−	0.340908i	$-0.889266\pi$
$103$	−3.30213	+	4.54499i	−0.325369	+	0.447831i	0.614728	+	0.788739i	$0.289266\pi$
$104$	4.19772	−	1.36392i	0.411620	−	0.133743i
$105$	−3.28271	−	3.20499i	−0.320359	−	0.312775i
$106$	1.80902	−	2.48990i	0.175707	−	0.241840i
$107$	−4.71964	−	6.49602i	−0.456265	−	0.627994i	0.517464	−	0.855705i	$-0.326876\pi$
$107$	−4.71964	−	6.49602i	−0.456265	−	0.627994i	−0.973729	+	0.227711i	$0.926876\pi$
$108$	−10.9813	−	3.56804i	−1.05668	−	0.343335i
$109$		−	13.2943i		−	1.27336i	−0.771128	−	0.636680i	$-0.780307\pi$
$109$		−	13.2943i		−	1.27336i	0.771128	−	0.636680i	$-0.219693\pi$
$110$	0.965631	−	0.274731i	0.0920693	−	0.0261945i
$111$		−	21.3426i		−	2.02575i
$112$	1.13396	+	6.64349i	0.107149	+	0.627751i
$113$	0.814341	−	0.591653i	0.0766067	−	0.0556581i	−0.548823	−	0.835939i	$-0.684924\pi$
$113$	0.814341	−	0.591653i	0.0766067	−	0.0556581i	0.625429	+	0.780281i	$0.284924\pi$
$114$	−5.94262	−	4.31757i	−0.556578	−	0.404377i
$115$	−2.20694	+	0.717079i	−0.205798	+	0.0668679i
$116$	−3.58783	+	1.16576i	−0.333122	+	0.108238i
$117$	−10.0352	−	7.29102i	−0.927757	−	0.674055i
$118$	−1.91270	+	1.38966i	−0.176079	+	0.127929i
$119$	−0.509814	−	2.98683i	−0.0467345	−	0.273802i
$120$			3.26682i			0.298218i
$121$	9.35256	−	5.79048i	0.850232	−	0.526407i
$122$			4.37853i			0.396413i
$123$	32.2106	+	10.4659i	2.90434	+	0.943676i
$124$	−6.40466	−	8.81526i	−0.575155	−	0.791633i
$125$	−3.41070	+	4.69443i	−0.305062	+	0.419882i
$126$	−4.91988	+	5.03918i	−0.438298	+	0.448926i
$127$	−9.00420	+	2.92564i	−0.798994	+	0.259609i	−0.679929	−	0.733278i	$-0.737990\pi$
$127$	−9.00420	+	2.92564i	−0.798994	+	0.259609i	−0.119065	+	0.992887i	$0.537990\pi$
$128$	6.69039	−	9.20854i	0.591353	−	0.813927i
$129$	4.03566	−	2.93208i	0.355320	−	0.258155i
$130$	−0.219149	+	0.674471i	−0.0192206	+	0.0591550i
$131$	11.5794			1.01170			0.505848	−	0.862623i	$-0.331180\pi$
$131$	11.5794			1.01170			0.505848	+	0.862623i	$0.331180\pi$
$132$	4.56708	+	16.0525i	0.397514	+	1.39719i
$133$	11.8852	−	6.23627i	1.03058	−	0.540753i
$134$	−3.09316	−	1.00503i	−0.267208	−	0.0868212i
$135$	3.21895	−	2.33870i	0.277043	−	0.201284i
$136$	−1.26819	+	1.74551i	−0.108746	+	0.149676i
$137$	3.05284	+	9.39568i	0.260822	+	0.802727i	0.992627	+	0.121213i	$0.0386783\pi$
$137$	3.05284	+	9.39568i	0.260822	+	0.802727i	−0.731805	+	0.681514i	$0.761322\pi$
$138$	1.72448	+	5.30740i	0.146797	+	0.451796i
$139$	8.26502	+	6.00489i	0.701030	+	0.509328i	0.880267	−	0.474478i	$-0.157363\pi$
$139$	8.26502	+	6.00489i	0.701030	+	0.509328i	−0.179238	+	0.983806i	$0.557363\pi$
$140$	−2.49491	−	1.23380i	−0.210858	−	0.104275i
$141$	−8.83040	+	27.1772i	−0.743654	+	2.28873i
$142$			2.67769i			0.224706i
$143$	−0.287236	+	7.76496i	−0.0240199	+	0.649339i
$144$	−13.4869			−1.12391
$145$	0.401714	−	1.23635i	0.0333606	−	0.102673i
$146$	−0.738057	−	1.01585i	−0.0610820	−	0.0840722i
$147$	−6.68734	−	19.0187i	−0.551563	−	1.56864i
$148$	−4.00115	−	12.3143i	−0.328893	−	1.01223i
$149$	−4.36511	+	1.41831i	−0.357604	+	0.116192i	−0.482308	−	0.876001i	$-0.660202\pi$
$149$	−4.36511	+	1.41831i	−0.357604	+	0.116192i	0.124705	+	0.992194i	$0.460202\pi$
$150$	5.43241	+	3.94688i	0.443555	+	0.322261i
$151$	−7.72552	−	10.6333i	−0.628694	−	0.865323i	0.369255	−	0.929328i	$-0.379613\pi$
$151$	−7.72552	−	10.6333i	−0.628694	−	0.865323i	−0.997950	+	0.0640047i	$0.979613\pi$
$152$	−9.08954	−	2.95337i	−0.737259	−	0.239550i
$153$	6.06355			0.490209
$154$	4.33872	+	0.798823i	0.349624	+	0.0643710i
$155$	3.75480			0.301592
$156$	−11.2123	−	3.64310i	−0.897703	−	0.291681i
$157$	1.81688	+	2.50071i	0.145002	+	0.199579i	0.875340	−	0.483507i	$-0.160637\pi$
$157$	1.81688	+	2.50071i	0.145002	+	0.199579i	−0.730338	+	0.683086i	$0.760637\pi$
$158$	−0.484261	−	0.351836i	−0.0385258	−	0.0279906i
$159$	−16.7676	+	5.44813i	−1.32976	+	0.432065i
$160$	0.939313	+	2.89091i	0.0742592	+	0.228546i
$161$	−10.0898	−	1.47441i	−0.795191	−	0.116200i
$162$	−0.930465	−	1.28067i	−0.0731042	−	0.100619i
$163$	−0.631726	+	1.94425i	−0.0494806	+	0.152286i	−0.972744	−	0.231882i	$-0.925512\pi$
$163$	−0.631726	+	1.94425i	−0.0494806	+	0.152286i	0.923263	+	0.384168i	$0.125512\pi$
$164$	20.5470			1.60445
$165$	−5.40023	−	1.97818i	−0.420407	−	0.154001i
$166$		−	3.97460i		−	0.308489i
$167$	2.25884	−	6.95201i	0.174795	−	0.537962i	−0.824829	−	0.565382i	$-0.808729\pi$
$167$	2.25884	−	6.95201i	0.174795	−	0.537962i	0.999624	+	0.0274192i	$0.00872890\pi$
$168$	−6.36350	+	12.8678i	−0.490955	+	0.992774i
$169$	6.07666	+	4.41496i	0.467436	+	0.339612i
$170$	−0.107126	−	0.329701i	−0.00821622	−	0.0252869i
$171$	8.30004	+	25.5449i	0.634720	+	1.95347i
$172$	1.77882	−	2.44833i	0.135634	−	0.186684i
$173$	6.61453	−	4.80574i	0.502893	−	0.365373i	−0.307228	−	0.951636i	$-0.599401\pi$
$173$	6.61453	−	4.80574i	0.502893	−	0.365373i	0.810121	+	0.586263i	$0.199401\pi$
$174$	−2.97326	−	0.966070i	−0.225402	−	0.0732376i
$175$	−10.8648	+	5.70085i	−0.821303	+	0.430944i
$176$	4.70985	+	7.01388i	0.355018	+	0.528691i
$177$	13.5435			1.01799
$178$	−1.86374	+	5.73602i	−0.139694	+	0.429933i
$179$	−5.03924	+	3.66122i	−0.376650	+	0.273653i	−0.759963	−	0.649966i	$-0.774783\pi$
$179$	−5.03924	+	3.66122i	−0.376650	+	0.273653i	0.383313	+	0.923619i	$0.374783\pi$
$180$	3.27387	−	4.50610i	0.244020	−	0.335865i
$181$	−18.7936	+	6.10643i	−1.39692	+	0.453887i	−0.908194	−	0.418550i	$-0.862539\pi$
$181$	−18.7936	+	6.10643i	−1.39692	+	0.453887i	−0.488727	+	0.872437i	$0.662539\pi$
$182$	−2.17703	+	2.22982i	−0.161372	+	0.165285i
$183$	14.7431	−	20.2921i	1.08984	−	1.50003i
$184$	4.26785	+	5.87419i	0.314630	+	0.433051i
$185$	4.24344	+	1.37878i	0.311984	+	0.101370i
$186$		−	9.02978i		−	0.662096i
$187$	−2.11749	−	3.15335i	−0.154846	−	0.230596i
$188$			17.3362i			1.26437i
$189$	17.2349	−	2.94177i	1.25365	−	0.213983i
$190$	1.24235	−	0.902618i	0.0901293	−	0.0654828i
$191$	−0.501545	−	0.364394i	−0.0362905	−	0.0263666i	0.569492	−	0.821997i	$-0.307140\pi$
$191$	−0.501545	−	0.364394i	−0.0362905	−	0.0263666i	−0.605783	+	0.795630i	$0.707140\pi$
$192$	−7.00231	+	2.27519i	−0.505348	+	0.164197i
$193$	−11.8239	+	3.84183i	−0.851106	+	0.276541i	−0.701909	−	0.712267i	$-0.747669\pi$
$193$	−11.8239	+	3.84183i	−0.851106	+	0.276541i	−0.149197	+	0.988808i	$0.547669\pi$
$194$	−2.36785	−	1.72034i	−0.170002	−	0.123514i
$195$	3.28666	−	2.38790i	0.235363	−	0.171001i
$196$	−7.42397	−	9.71977i	−0.530283	−	0.694269i
$197$			12.4251i			0.885254i	0.896706	+	0.442627i	$0.145953\pi$
$197$			12.4251i			0.885254i	−0.896706	+	0.442627i	$0.854047\pi$
$198$	−3.03664	+	8.28971i	−0.215804	+	0.589124i
$199$		−	8.51876i		−	0.603879i	−0.953327	−	0.301939i	$-0.902366\pi$
$199$		−	8.51876i		−	0.603879i	0.953327	−	0.301939i	$-0.0976340\pi$
$200$	8.30914	+	2.69980i	0.587545	+	0.190905i
$201$	10.9510	+	15.0728i	0.772427	+	1.06315i
$202$	4.26847	−	5.87504i	0.300328	−	0.413367i
$203$	3.99064	−	4.08741i	0.280088	−	0.286880i
$204$	5.48091	−	1.78085i	0.383740	−	0.124685i
$205$	−4.16175	+	5.72816i	−0.290669	+	0.400072i
$206$	−2.28501	+	1.66016i	−0.159204	+	0.115669i
$207$	6.30573	−	19.4070i	0.438278	−	1.34888i
$208$	−5.96792			−0.413801
$209$	10.3861	−	13.2371i	0.718424	−	0.915631i
$210$	−1.07169	−	2.04246i	−0.0739538	−	0.140943i
$211$	−16.8765	−	5.48352i	−1.16183	−	0.377501i	−0.336242	−	0.941776i	$-0.609156\pi$
$211$	−16.8765	−	5.48352i	−1.16183	−	0.377501i	−0.825587	+	0.564274i	$0.809156\pi$
$212$	−8.65323	+	6.28694i	−0.594306	+	0.431789i
$213$	9.01611	−	12.4096i	0.617774	−	0.850292i
$214$	−1.24746	−	3.83930i	−0.0852749	−	0.262449i
$215$	0.322258	+	0.991809i	0.0219778	+	0.0676408i
$216$	−10.0721	−	7.31781i	−0.685319	−	0.497914i
$217$	14.7899	+	7.31404i	1.00401	+	0.496510i
$218$	2.06539	−	6.35662i	0.139886	−	0.430525i
$219$			7.19303i			0.486060i
$220$	−3.48668	−	0.128977i	−0.235072	−	0.00869563i
$221$	2.68310			0.180485
$222$	3.31578	−	10.2049i	0.222540	−	0.684909i
$223$	0.873235	+	1.20190i	0.0584761	+	0.0804855i	0.837254	−	0.546815i	$-0.184160\pi$
$223$	0.873235	+	1.20190i	0.0584761	+	0.0804855i	−0.778777	+	0.627300i	$0.784160\pi$
$224$	−1.93136	+	13.2169i	−0.129044	+	0.883088i
$225$	−7.58743	−	23.3517i	−0.505829	−	1.55678i
$226$	0.481294	−	0.156382i	0.0320152	−	0.0104024i
$227$	−19.4043	−	14.0980i	−1.28791	−	0.935720i	−0.288147	−	0.957586i	$-0.593039\pi$
$227$	−19.4043	−	14.0980i	−1.28791	−	0.935720i	−0.999761	+	0.0218664i	$0.993039\pi$
$228$	15.0050	+	20.6526i	0.993730	+	1.36775i
$229$	−0.346898	−	0.112714i	−0.0229236	−	0.00744834i	0.297533	−	0.954712i	$-0.403836\pi$
$229$	−0.346898	−	0.112714i	−0.0229236	−	0.00744834i	−0.320456	+	0.947263i	$0.603836\pi$
$230$	−1.16665			−0.0769265
$231$	−17.4179	−	18.3112i	−1.14601	−	1.20479i
$232$	−4.06763			−0.267053
$233$	−2.51505	−	0.817190i	−0.164766	−	0.0535359i	0.225472	−	0.974250i	$-0.427608\pi$
$233$	−2.51505	−	0.817190i	−0.164766	−	0.0535359i	−0.390239	+	0.920714i	$0.627608\pi$
$234$	−3.66559	−	5.04525i	−0.239627	−	0.329818i
$235$	−4.83304	−	3.51141i	−0.315273	−	0.229059i
$236$	7.81435	−	2.53904i	0.508671	−	0.165277i
$237$	1.05961	+	3.26114i	0.0688290	+	0.211834i
$238$	0.220266	−	1.50735i	0.0142778	−	0.0977070i
$239$	−10.3480	−	14.2428i	−0.669356	−	0.921289i	0.330390	−	0.943845i	$-0.392820\pi$
$239$	−10.3480	−	14.2428i	−0.669356	−	0.921289i	−0.999746	+	0.0225554i	$0.992820\pi$
$240$	1.36497	−	4.20095i	0.0881085	−	0.271170i
$241$	−8.56111			−0.551470			−0.275735	−	0.961234i	$-0.588921\pi$
$241$	−8.56111			−0.551470			−0.275735	+	0.961234i	$0.588921\pi$
$242$	5.37151	−	1.31570i	0.345294	−	0.0845761i
$243$		−	10.7569i		−	0.690058i
$244$	4.70226	−	14.4721i	0.301031	−	0.926479i
$245$	4.21342	−	0.100959i	0.269185	−	0.00645003i
$246$	13.7755	+	10.0085i	0.878292	+	0.638116i
$247$	3.67274	+	11.3035i	0.233691	+	0.719227i
$248$	−3.63057	−	11.1737i	−0.230541	−	0.709533i
$249$	−13.3830	+	18.4201i	−0.848112	+	1.16733i
$250$	−2.36014	+	1.71474i	−0.149269	+	0.108450i
$251$	2.94556	+	0.957069i	0.185922	+	0.0604097i	0.400498	−	0.916298i	$-0.368837\pi$
$251$	2.94556	+	0.957069i	0.185922	+	0.0604097i	−0.214576	+	0.976707i	$0.568837\pi$
$252$	21.6731	−	11.3720i	1.36528	−	0.716371i
$253$	−12.2947	+	3.49795i	−0.772961	+	0.219914i
$254$	−4.75987			−0.298660
$255$	−0.613674	+	1.88869i	−0.0384297	+	0.118275i
$256$	0.493198	−	0.358330i	0.0308249	−	0.0223956i
$257$	−8.02351	+	11.0434i	−0.500493	+	0.688869i	−0.982280	−	0.187419i	$-0.939988\pi$
$257$	−8.02351	+	11.0434i	−0.500493	+	0.688869i	0.481787	+	0.876288i	$0.339988\pi$
$258$	2.38517	−	0.774988i	0.148494	−	0.0482487i
$259$	14.0290	+	13.6968i	0.871717	+	0.851079i
$260$	1.44868	−	1.99393i	0.0898432	−	0.123659i
$261$	6.71927	+	9.24828i	0.415913	+	0.572454i
$262$	5.53666	+	1.79897i	0.342056	+	0.111141i
$263$			21.1997i			1.30723i	0.756827	+	0.653615i	$0.226749\pi$
$263$			21.1997i			1.30723i	−0.756827	+	0.653615i	$0.773251\pi$
$264$	−0.665216	+	17.9830i	−0.0409412	+	1.10678i
$265$		−	3.68578i		−	0.226416i
$266$	6.65177	−	1.13537i	0.407846	−	0.0696141i
$267$	27.9513	−	20.3078i	1.71059	−	1.24282i
$268$	9.14429	+	6.64372i	0.558576	+	0.405830i
$269$	−13.4198	+	4.36034i	−0.818217	+	0.265855i	−0.688074	−	0.725640i	$-0.741544\pi$
$269$	−13.4198	+	4.36034i	−0.818217	+	0.265855i	−0.130143	+	0.991495i	$0.541544\pi$
$270$	1.90247	−	0.618151i	0.115781	−	0.0376195i
$271$	12.7393	+	9.25562i	0.773856	+	0.562239i	0.903129	−	0.429370i	$-0.141264\pi$
$271$	12.7393	+	9.25562i	0.773856	+	0.562239i	−0.129273	+	0.991609i	$0.541264\pi$
$272$	2.36014	−	1.71474i	0.143105	−	0.103972i
$273$	17.5974	−	3.00366i	1.06505	−	0.181790i
$274$			4.96681i			0.300056i
$275$	−9.49441	+	12.1006i	−0.572535	+	0.729696i
$276$		−	19.3942i		−	1.16739i
$277$	−6.35715	−	2.06556i	−0.381964	−	0.124108i	0.111740	−	0.993737i	$-0.464357\pi$
$277$	−6.35715	−	2.06556i	−0.381964	−	0.124108i	−0.493704	+	0.869630i	$0.664357\pi$
$278$	3.01898	+	4.15527i	0.181067	+	0.249217i
$279$	−19.4077	+	26.7124i	−1.16191	+	1.59923i
$280$	−2.14735	−	2.09651i	−0.128329	−	0.125291i
$281$	21.0401	−	6.83635i	1.25515	−	0.407822i	0.395385	−	0.918515i	$-0.370611\pi$
$281$	21.0401	−	6.83635i	1.25515	−	0.407822i	0.859763	+	0.510693i	$0.170611\pi$
$282$	−8.44447	+	11.6228i	−0.502861	+	0.692129i
$283$	−11.2264	+	8.15648i	−0.667342	+	0.484852i	−0.869134	−	0.494576i	$-0.835323\pi$
$283$	−11.2264	+	8.15648i	−0.667342	+	0.484852i	0.201792	+	0.979428i	$0.435323\pi$
$284$	2.87567	−	8.85039i	0.170639	−	0.525174i
$285$	−8.79683			−0.521079
$286$	−1.34370	+	3.66817i	−0.0794548	+	0.216904i
$287$	−27.5509	+	14.4562i	−1.62628	+	0.853320i
$288$	−25.4216	−	8.25998i	−1.49798	−	0.486724i
$289$	12.6922	−	9.22142i	0.746600	−	0.542437i
$290$	0.384158	−	0.528748i	0.0225585	−	0.0310491i
$291$	5.18108	+	15.9457i	0.303720	+	0.934755i
$292$	1.34850	+	4.15025i	0.0789148	+	0.242875i
$293$	−5.75353	−	4.18018i	−0.336125	−	0.244209i	0.406900	−	0.913473i	$-0.366610\pi$
$293$	−5.75353	−	4.18018i	−0.336125	−	0.244209i	−0.743025	+	0.669264i	$0.766610\pi$
$294$	−0.242793	−	10.1327i	−0.0141600	−	0.590952i
$295$	−0.874939	+	2.69279i	−0.0509409	+	0.156780i
$296$		−	13.9610i		−	0.811469i
$297$	18.1958	−	12.2185i	1.05583	−	0.708991i
$298$	−2.30751			−0.133671
$299$	2.79026	−	8.58755i	0.161365	−	0.496631i
$300$	−13.7167	−	18.8794i	−0.791935	−	1.09001i
$301$	−0.662607	+	4.53442i	−0.0381920	+	0.261360i
$302$	−2.04196	−	6.28451i	−0.117502	−	0.361633i
$303$	−39.5640	+	12.8551i	−2.27289	+	0.738508i
$304$	10.4546	+	7.59574i	0.599615	+	0.435646i
$305$	3.08214	+	4.24220i	0.176483	+	0.242908i
$306$	2.89927	+	0.942031i	0.165740	+	0.0538523i
$307$	18.7705			1.07129			0.535644	−	0.844444i	$-0.320069\pi$
$307$	18.7705			1.07129			0.535644	+	0.844444i	$0.320069\pi$
$308$	−13.4826	−	7.29982i	−0.768244	−	0.415946i
$309$	16.1798			0.920435
$310$	1.79535	+	0.583343i	0.101969	+	0.0331317i
$311$	2.10849	+	2.90209i	0.119561	+	0.164562i	0.864603	−	0.502456i	$-0.167570\pi$
$311$	2.10849	+	2.90209i	0.119561	+	0.164562i	−0.745041	+	0.667018i	$0.767570\pi$
$312$	−10.2840	−	7.47175i	−0.582216	−	0.423004i
$313$	25.0891	−	8.15193i	1.41812	−	0.460774i	0.503114	−	0.864220i	$-0.332188\pi$
$313$	25.0891	−	8.15193i	1.41812	−	0.460774i	0.915004	+	0.403446i	$0.132188\pi$
$314$	0.480225	+	1.47798i	0.0271006	+	0.0834072i
$315$	−1.21951	+	8.34549i	−0.0687117	+	0.470215i
$316$	1.22275	+	1.68297i	0.0687850	+	0.0946744i
$317$	−1.96679	+	6.05316i	−0.110466	+	0.339979i	−0.990974	−	0.134051i	$-0.957201\pi$
$317$	−1.96679	+	6.05316i	−0.110466	+	0.339979i	0.880508	+	0.474030i	$0.157201\pi$
$318$	−8.86381			−0.497058
$319$	2.46310	−	6.72401i	0.137907	−	0.376472i
$320$		−	1.53921i		−	0.0860447i
$321$	−7.14610	+	21.9934i	−0.398856	+	1.22755i
$322$	−4.59537	−	2.27254i	−0.256090	−	0.126644i
$323$	−4.70028	−	3.41495i	−0.261530	−	0.190013i
$324$	1.70004	+	5.23220i	0.0944469	+	0.290678i
$325$	−3.35742	−	10.3331i	−0.186236	−	0.573175i
$326$	−0.604117	+	0.831495i	−0.0334589	+	0.0460523i
$327$	−30.9755	+	22.5050i	−1.71295	+	1.24453i
$328$	21.0702	+	6.84614i	1.16341	+	0.378015i
$329$	−12.1971	−	23.2456i	−0.672450	−	1.28157i
$330$	−2.27478	−	1.78484i	−0.125222	−	0.0982521i
$331$	−9.41523			−0.517508			−0.258754	−	0.965943i	$-0.583312\pi$
$331$	−9.41523			−0.517508			−0.258754	+	0.965943i	$0.583312\pi$
$332$	−4.26847	+	13.1370i	−0.234263	+	0.720986i
$333$	−31.7423	+	23.0621i	−1.73947	+	1.26380i
$334$	2.16012	−	2.97315i	0.118197	−	0.162684i
$335$	−3.70431	+	1.20360i	−0.202388	+	0.0657599i
$336$	13.5597	−	13.8885i	0.739740	−	0.757678i
$337$	3.24325	−	4.46395i	0.176671	−	0.243167i	−0.711493	−	0.702693i	$-0.751981\pi$
$337$	3.24325	−	4.46395i	0.176671	−	0.243167i	0.888164	+	0.459526i	$0.151981\pi$
$338$	2.21964	+	3.05507i	0.120732	+	0.166174i
$339$	−2.75709	−	0.895834i	−0.149745	−	0.0486550i
$340$			1.20479i			0.0653388i
$341$	20.6692	+	0.764582i	1.11930	+	0.0414044i
$342$			13.5037i			0.730198i
$343$	16.7931	+	7.80973i	0.906742	+	0.421686i
$344$	2.63989	−	1.91799i	0.142333	−	0.103411i
$345$	5.40678	+	3.92825i	0.291091	+	0.211490i
$346$	3.90934	−	1.27022i	0.210167	−	0.0682875i
$347$	31.3613	−	10.1899i	1.68356	−	0.547022i	0.697965	−	0.716132i	$-0.254089\pi$
$347$	31.3613	−	10.1899i	1.68356	−	0.547022i	0.985597	+	0.169110i	$0.0540892\pi$
$348$	8.78983	+	6.38618i	0.471184	+	0.342335i
$349$	21.5523	−	15.6586i	1.15367	−	0.838188i	0.164703	−	0.986343i	$-0.447334\pi$
$349$	21.5523	−	15.6586i	1.15367	−	0.838188i	0.988964	+	0.148155i	$0.0473335\pi$
$350$	−6.08067	+	1.03789i	−0.325026	+	0.0554777i
$351$			15.4823i			0.826384i
$352$	4.58202	+	16.1050i	0.244223	+	0.858401i
$353$			31.7997i			1.69253i	0.532764	+	0.846264i	$0.321153\pi$
$353$			31.7997i			1.69253i	−0.532764	+	0.846264i	$0.678847\pi$
$354$	6.47579	+	2.10411i	0.344184	+	0.111832i
$355$	1.88488	+	2.59432i	0.100039	+	0.137692i
$356$	12.3202	−	16.9574i	0.652971	−	0.898738i
$357$	−6.09625	+	6.24408i	−0.322648	+	0.330472i
$358$	−2.97831	+	0.967710i	−0.157408	+	0.0511451i
$359$	18.6081	−	25.6119i	0.982099	−	1.35174i	0.0464079	−	0.998923i	$-0.485223\pi$
$359$	18.6081	−	25.6119i	0.982099	−	1.35174i	0.935691	−	0.352821i	$-0.114777\pi$
$360$	4.85865	−	3.53001i	0.256073	−	0.186048i
$361$	2.08146	−	6.40608i	0.109551	−	0.337162i
$362$	−9.93483			−0.522163
$363$	−29.3241	−	11.9890i	−1.53912	−	0.629261i
$364$	9.59029	−	5.03209i	0.502668	−	0.263753i
$365$	−1.43015	−	0.464685i	−0.0748577	−	0.0243227i
$366$	10.2019	−	7.41213i	0.533263	−	0.387438i
$367$	6.40466	−	8.81526i	0.334320	−	0.460153i	−0.608451	−	0.793591i	$-0.708209\pi$
$367$	6.40466	−	8.81526i	0.334320	−	0.460153i	0.942772	+	0.333439i	$0.108209\pi$
$368$	−3.03381	−	9.33712i	−0.158148	−	0.486731i
$369$	−19.2401	−	59.2151i	−1.00160	−	3.08261i
$370$	1.81479	+	1.31852i	0.0943462	+	0.0685465i
$371$	7.17961	−	14.5181i	0.372747	−	0.753742i
$372$	−9.69742	+	29.8456i	−0.502788	+	1.54742i
$373$		−	5.45840i		−	0.282625i	−0.989965	−	0.141313i	$-0.954868\pi$
$373$		−	5.45840i		−	0.282625i	0.989965	−	0.141313i	$-0.0451322\pi$
$374$	−0.522569	−	1.83674i	−0.0270214	−	0.0949755i
$375$	16.7117			0.862990
$376$	−5.77632	+	17.7777i	−0.297891	+	0.916813i
$377$	2.97326	+	4.09234i	0.153131	+	0.210766i
$378$	8.69785	+	1.27100i	0.447369	+	0.0653733i
$379$	1.84149	+	5.66752i	0.0945909	+	0.291121i	0.987147	−	0.159816i	$-0.0510900\pi$
$379$	1.84149	+	5.66752i	0.0945909	+	0.291121i	−0.892556	+	0.450937i	$0.851090\pi$
$380$	−5.07561	+	1.64916i	−0.260373	+	0.0846004i
$381$	22.0594	+	16.0271i	1.13014	+	0.821092i
$382$	−0.183201	−	0.252154i	−0.00937336	−	0.0129013i
$383$	−29.5035	−	9.58627i	−1.50756	−	0.489835i	−0.565347	−	0.824853i	$-0.691258\pi$
$383$	−29.5035	−	9.58627i	−1.50756	−	0.489835i	−0.942212	+	0.335018i	$0.891258\pi$
$384$	−32.7816			−1.67288
$385$	4.76595	−	2.28017i	0.242895	−	0.116208i
$386$	−6.25045			−0.318140
$387$	−8.72161	−	2.83382i	−0.443344	−	0.144051i
$388$	5.97877	+	8.22907i	0.303526	+	0.417768i
$389$	−18.9419	−	13.7621i	−0.960394	−	0.697767i	−0.00715202	−	0.999974i	$-0.502277\pi$
$389$	−18.9419	−	13.7621i	−0.960394	−	0.697767i	−0.953242	+	0.302207i	$0.902277\pi$
$390$	1.94249	−	0.631154i	0.0983620	−	0.0319597i
$391$	1.36396	+	4.19785i	0.0689786	+	0.212294i
$392$	−4.37446	−	12.4409i	−0.220943	−	0.628361i
$393$	−19.6020	−	26.9799i	−0.988791	−	1.36095i
$394$	−1.93036	+	5.94105i	−0.0972503	+	0.299306i
$395$	−0.716849			−0.0360686
$396$	18.9394	−	24.1383i	0.951742	−	1.21300i
$397$		−	29.8394i		−	1.49760i	−0.662798	−	0.748798i	$-0.730631\pi$
$397$		−	29.8394i		−	1.49760i	0.662798	−	0.748798i	$-0.269369\pi$
$398$	1.32347	−	4.07322i	0.0663396	−	0.204172i
$399$	−34.6503	−	17.1355i	−1.73468	−	0.857849i
$400$	−9.55705	−	6.94360i	−0.477852	−	0.347180i
$401$	6.34865	+	19.5392i	0.317037	+	0.975739i	0.974908	+	0.222608i	$0.0714571\pi$
$401$	6.34865	+	19.5392i	0.317037	+	0.975739i	−0.657871	+	0.753130i	$0.728543\pi$
$402$	2.89451	+	8.90838i	0.144365	+	0.444310i
$403$	−8.58783	+	11.8201i	−0.427791	+	0.588803i
$404$	−20.4177	+	14.8344i	−1.01582	+	0.738037i
$405$	−1.80299	−	0.585827i	−0.0895912	−	0.0291100i
$406$	2.54314	−	1.33440i	0.126214	−	0.0662252i
$407$	23.0784	+	8.45392i	1.14395	+	0.419045i
$408$	6.21385			0.307632
$409$	3.84591	−	11.8365i	0.190168	−	0.585277i	−0.809831	−	0.586663i	$-0.800441\pi$
$409$	3.84591	−	11.8365i	0.190168	−	0.585277i	0.999999	+	0.00138645i	$0.000441322\pi$
$410$	−2.87986	+	2.09234i	−0.142226	+	0.103333i
$411$	16.7239	−	23.0185i	0.824928	−	1.13542i
$412$	9.33542	−	3.03326i	0.459923	−	0.149438i
$413$	−8.69167	+	8.90243i	−0.427689	+	0.438060i
$414$	6.03014	−	8.29977i	0.296365	−	0.407911i
$415$	−2.79780	−	3.85085i	−0.137339	−	0.189031i
$416$	−11.2490	−	3.65502i	−0.551527	−	0.179202i
$417$		−	29.4227i		−	1.44084i
$418$	7.02262	−	4.71572i	0.343487	−	0.230653i
$419$			15.0711i			0.736272i	0.929772	+	0.368136i	$0.120004\pi$
$419$			15.0711i			0.736272i	−0.929772	+	0.368136i	$0.879996\pi$
$420$	1.34873	+	7.90174i	0.0658111	+	0.385566i
$421$	4.89327	−	3.55517i	0.238484	−	0.173268i	−0.462124	−	0.886815i	$-0.652912\pi$
$421$	4.89327	−	3.55517i	0.238484	−	0.173268i	0.700607	+	0.713547i	$0.252912\pi$
$422$	−7.21756	−	5.24387i	−0.351345	−	0.255267i
$423$	49.9617	−	16.2335i	2.42922	−	0.789302i
$424$	−10.9684	+	3.56384i	−0.532671	+	0.173075i
$425$	4.29673	+	3.12176i	0.208422	+	0.151427i
$426$	6.23898	−	4.53289i	0.302280	−	0.219619i
$427$	3.87691	+	22.7136i	0.187617	+	1.09919i
$428$			14.0295i			0.678141i
$429$	18.5785	−	12.4756i	0.896980	−	0.602326i
$430$			0.524297i			0.0252838i
$431$	−6.89094	−	2.23900i	−0.331925	−	0.107849i	0.138313	−	0.990389i	$-0.455832\pi$
$431$	−6.89094	−	2.23900i	−0.331925	−	0.107849i	−0.470238	+	0.882540i	$0.655832\pi$
$432$	9.89458	+	13.6187i	0.476053	+	0.655231i
$433$	5.97745	−	8.22725i	0.287258	−	0.395377i	−0.640863	−	0.767655i	$-0.721423\pi$
$433$	5.97745	−	8.22725i	0.287258	−	0.395377i	0.928121	+	0.372279i	$0.121423\pi$
$434$	5.93547	+	5.79495i	0.284912	+	0.278167i
$435$	−3.56072	+	1.15695i	−0.170724	+	0.0554714i
$436$	−13.6532	+	18.7921i	−0.653871	+	0.899976i
$437$	−15.8179	+	11.4924i	−0.756674	+	0.549755i
$438$	−1.11751	+	3.43933i	−0.0533965	+	0.164338i
$439$	−8.57434			−0.409231			−0.204615	−	0.978842i	$-0.565594\pi$
$439$	−8.57434			−0.409231			−0.204615	+	0.978842i	$0.565594\pi$
$440$	−3.53250	−	1.29400i	−0.168405	−	0.0616892i
$441$	−21.0599	+	30.4969i	−1.00285	+	1.45223i
$442$	1.28292	+	0.416846i	0.0610222	+	0.0198273i
$443$	7.94072	−	5.76927i	0.377275	−	0.274106i	−0.382946	−	0.923771i	$-0.625091\pi$
$443$	7.94072	−	5.76927i	0.377275	−	0.274106i	0.760221	+	0.649664i	$0.225091\pi$
$444$	−21.9189	+	30.1687i	−1.04022	+	1.43175i
$445$	2.23199	+	6.86935i	0.105806	+	0.325639i
$446$	0.230808	+	0.710353i	0.0109291	+	0.0336362i
$447$	10.6941	+	7.76969i	0.505812	+	0.367494i
$448$	2.99827	−	6.06289i	0.141655	−	0.286445i
$449$	−4.79575	+	14.7598i	−0.226325	+	0.696558i	0.771829	+	0.635830i	$0.219342\pi$
$449$	−4.79575	+	14.7598i	−0.226325	+	0.696558i	−0.998154	+	0.0607278i	$0.980658\pi$
$450$		−	12.3443i		−	0.581918i
$451$	−24.0759	+	30.6847i	−1.13369	+	1.44489i
$452$	−1.75874			−0.0827240
$453$	−11.6974	+	36.0008i	−0.549590	+	1.69146i
$454$	−7.08785	−	9.75559i	−0.332649	−	0.457852i
$455$	−0.539630	+	3.69285i	−0.0252983	+	0.173124i
$456$	8.50578	+	26.1781i	0.398320	+	1.22590i
$457$	25.9553	−	8.43339i	1.21414	−	0.394497i	0.369194	−	0.929352i	$-0.379634\pi$
$457$	25.9553	−	8.43339i	1.21414	−	0.394497i	0.844944	+	0.534855i	$0.179634\pi$
$458$	−0.148357	−	0.107788i	−0.00693227	−	0.00503659i
$459$	−4.44848	−	6.12281i	−0.207637	−	0.285788i
$460$	3.85605	+	1.25291i	0.179789	+	0.0584171i
$461$	34.0355			1.58519			0.792595	−	0.609748i	$-0.208730\pi$
$461$	34.0355			1.58519			0.792595	+	0.609748i	$0.208730\pi$
$462$	−5.48350	−	11.4615i	−0.255116	−	0.533236i
$463$	19.2899			0.896477			0.448239	−	0.893914i	$-0.352052\pi$
$463$	19.2899			0.896477			0.448239	+	0.893914i	$0.352052\pi$
$464$	5.23074	+	1.69957i	0.242831	+	0.0789006i
$465$	−6.35626	−	8.74864i	−0.294764	−	0.405708i
$466$	−1.07561	−	0.781474i	−0.0498265	−	0.0362011i
$467$	22.9483	−	7.45636i	1.06192	−	0.345039i	0.274585	−	0.961563i	$-0.411460\pi$
$467$	22.9483	−	7.45636i	1.06192	−	0.345039i	0.787336	+	0.616524i	$0.211460\pi$
$468$	6.69736	+	20.6124i	0.309586	+	0.952807i
$469$	−16.9356	−	2.47477i	−0.782014	−	0.114274i
$470$	−1.76538	−	2.42983i	−0.0814307	−	0.112080i
$471$	2.75097	−	8.46661i	0.126758	−	0.390121i
$472$	8.85934			0.407784
$473$	1.57199	+	5.52529i	0.0722804	+	0.254053i
$474$			1.72393i			0.0791826i
$475$	−7.26999	+	22.3747i	−0.333570	+	1.02662i
$476$	−2.34683	+	4.74560i	−0.107567	+	0.217514i
$477$	26.2214	+	19.0509i	1.20059	+	0.872283i
$478$	−2.73511	−	8.41781i	−0.125101	−	0.385022i
$479$	−12.0471	−	37.0771i	−0.550445	−	1.69410i	−0.707678	−	0.706535i	$-0.750257\pi$
$479$	−12.0471	−	37.0771i	−0.550445	−	1.69410i	0.157232	−	0.987562i	$-0.449743\pi$
$480$	5.14569	−	7.08243i	0.234867	−	0.323267i
$481$	−14.0459	+	10.2049i	−0.640436	+	0.465304i
$482$	−4.09347	−	1.33005i	−0.186453	−	0.0605821i
$483$	13.6451	+	26.0052i	0.620873	+	1.18328i
$484$	−19.1671	−	1.41997i	−0.871232	−	0.0645443i
$485$	−3.50512			−0.159159
$486$	1.67119	−	5.14340i	0.0758068	−	0.233309i
$487$	0.674777	−	0.490255i	0.0305771	−	0.0222156i	−0.572392	−	0.819980i	$-0.693984\pi$
$487$	0.674777	−	0.490255i	0.0305771	−	0.0222156i	0.602969	+	0.797765i	$0.293984\pi$
$488$	9.64402	−	13.2738i	0.436564	−	0.600879i
$489$	5.59950	−	1.81939i	0.253218	−	0.0822756i
$490$	2.03032	+	0.606322i	0.0917205	+	0.0273908i
$491$	−16.0996	+	22.1592i	−0.726565	+	1.00003i	0.272715	+	0.962095i	$0.412078\pi$
$491$	−16.0996	+	22.1592i	−0.726565	+	1.00003i	−0.999280	+	0.0379363i	$0.987922\pi$
$492$	−34.7827	−	47.8743i	−1.56813	−	2.15834i
$493$	−2.35168	−	0.764106i	−0.105914	−	0.0344136i
$494$			5.97536i			0.268844i
$495$	2.89322	+	10.1692i	0.130040	+	0.457070i
$496$			15.8858i			0.713292i
$497$	2.37093	+	13.8905i	0.106351	+	0.623073i
$498$	−9.26078	+	6.72835i	−0.414985	+	0.301505i
$499$	−16.1064	−	11.7020i	−0.721023	−	0.523854i	0.165688	−	0.986178i	$-0.447016\pi$
$499$	−16.1064	−	11.7020i	−0.721023	−	0.523854i	−0.886711	+	0.462324i	$0.847016\pi$
$500$	9.64236	−	3.13299i	0.431220	−	0.140112i
$501$	−20.0220	+	6.50553i	−0.894516	+	0.290646i
$502$	1.25972	+	0.915241i	0.0562241	+	0.0408492i
$503$	1.38243	−	1.00439i	0.0616393	−	0.0447836i	−0.556539	−	0.830822i	$-0.687871\pi$
$503$	1.38243	−	1.00439i	0.0616393	−	0.0447836i	0.618178	+	0.786038i	$0.287871\pi$
$504$	26.0141	−	4.44028i	1.15876	−	0.197786i
$505$		−	8.69679i		−	0.387002i
$506$	−6.42212	−	0.237562i	−0.285498	−	0.0105609i
$507$		−	21.6324i		−	0.960727i
$508$	15.7325	+	5.11180i	0.698016	+	0.226799i
$509$	7.35876	+	10.1285i	0.326171	+	0.448936i	0.940339	−	0.340239i	$-0.110508\pi$
$509$	7.35876	+	10.1285i	0.326171	+	0.448936i	−0.614167	+	0.789176i	$0.710508\pi$
$510$	−0.586853	+	0.807734i	−0.0259863	+	0.0357671i
$511$	−4.72814	−	4.61620i	−0.209160	−	0.204209i
$512$	−21.3591	+	6.93998i	−0.943947	+	0.306707i
$513$	19.7053	−	27.1220i	0.870009	−	1.19746i
$514$	−5.55212	+	4.03385i	−0.244894	+	0.177926i
$515$	−1.04525	+	3.21694i	−0.0460591	+	0.141755i
$516$	−8.71584			−0.383694
$517$	−25.8897	−	20.3136i	−1.13863	−	0.893391i
$518$	4.57998	+	8.72864i	0.201233	+	0.383514i
$519$	−22.3946	−	7.27646i	−0.983016	−	0.319401i
$520$	2.14994	−	1.56202i	0.0942810	−	0.0684991i
$521$	7.56304	−	10.4096i	0.331343	−	0.456054i	−0.610545	−	0.791981i	$-0.709050\pi$
$521$	7.56304	−	10.4096i	0.331343	−	0.456054i	0.941888	+	0.335927i	$0.109050\pi$
$522$	1.77599	+	5.46595i	0.0777332	+	0.239238i
$523$	7.09499	+	21.8361i	0.310242	+	0.954828i	0.977669	+	0.210152i	$0.0673959\pi$
$523$	7.09499	+	21.8361i	0.310242	+	0.954828i	−0.667426	+	0.744676i	$0.732604\pi$
$524$	−16.3680	−	11.8920i	−0.715039	−	0.519506i
$525$	31.6753	+	15.6643i	1.38242	+	0.683647i
$526$	−3.29358	+	10.1366i	−0.143607	+	0.441977i
$527$		−	7.14204i		−	0.311112i
$528$	8.36926	−	22.8473i	0.364225	−	0.994299i
$529$	−8.14590			−0.354169
$530$	0.572621	−	1.76235i	0.0248731	−	0.0765515i
$531$	−14.6347	−	20.1429i	−0.635090	−	0.874126i
$532$	−23.2050	−	3.39091i	−1.00606	−	0.147014i
$533$	−8.51371	−	26.2025i	−0.368770	−	1.13496i
$534$	16.5199	−	5.36763i	0.714885	−	0.232280i
$535$	−3.91119	−	2.84164i	−0.169095	−	0.122855i
$536$	7.16351	+	9.85973i	0.309416	+	0.425875i
$537$	17.0612	+	5.54353i	0.736246	+	0.239221i
$538$	−7.09405			−0.305846
$539$	23.2144	+	0.302216i	0.999915	+	0.0130174i
$540$	−6.95198			−0.299166
$541$	−22.0979	−	7.18003i	−0.950061	−	0.308694i	−0.207321	−	0.978273i	$-0.566474\pi$
$541$	−22.0979	−	7.18003i	−0.950061	−	0.308694i	−0.742740	+	0.669579i	$0.766474\pi$
$542$	4.65330	+	6.40472i	0.199876	+	0.275106i
$543$	46.0425	+	33.4518i	1.97587	+	1.43556i
$544$	5.49884	−	1.78668i	0.235761	−	0.0766033i
$545$	−2.47348	−	7.61258i	−0.105952	−	0.326087i
$546$	8.88082	+	1.29774i	0.380064	+	0.0555381i
$547$	19.0007	+	26.1522i	0.812411	+	1.11819i	0.990947	+	0.134255i	$0.0428640\pi$
$547$	19.0007	+	26.1522i	0.812411	+	1.11819i	−0.178536	+	0.983933i	$0.557136\pi$
$548$	5.33404	−	16.4165i	0.227859	−	0.701278i
$549$	−46.1107			−1.96796
$550$	−6.41968	+	4.31084i	−0.273736	+	0.183815i
$551$		−	10.9532i		−	0.466623i
$552$	6.46203	−	19.8881i	0.275042	−	0.846493i
$553$	−2.82363	−	1.39636i	−0.120073	−	0.0593795i
$554$	−2.71875	−	1.97529i	−0.115509	−	0.0839219i
$555$	−3.97092	−	12.2212i	−0.168556	−	0.518762i
$556$	−5.51596	−	16.9764i	−0.233929	−	0.719958i
$557$	−7.31007	+	10.0614i	−0.309737	+	0.426317i	−0.935299	−	0.353857i	$-0.884870\pi$
$557$	−7.31007	+	10.0614i	−0.309737	+	0.426317i	0.625562	+	0.780175i	$0.284870\pi$
$558$	−13.4298	+	9.75729i	−0.568527	+	0.413059i
$559$	−3.85928	−	1.25396i	−0.163230	−	0.0530368i
$560$	1.88539	+	3.59322i	0.0796722	+	0.151841i
$561$	−3.76272	+	10.2718i	−0.158862	+	0.433677i
$562$	11.1224			0.469169
$563$	0.680246	−	2.09358i	0.0286689	−	0.0882339i	−0.935698	−	0.352801i	$-0.885229\pi$
$563$	0.680246	−	2.09358i	0.0286689	−	0.0882339i	0.964367	+	0.264567i	$0.0852292\pi$
$564$	40.3932	−	29.3474i	1.70086	−	1.23575i
$565$	0.356228	−	0.490306i	0.0149866	−	0.0206273i
$566$	−6.63508	+	2.15587i	−0.278893	+	0.0906179i
$567$	−5.96074	−	5.81962i	−0.250327	−	0.244401i
$568$	5.89779	−	8.11762i	0.247466	−	0.340608i
$569$	26.9961	+	37.1569i	1.13173	+	1.55770i	0.784732	+	0.619835i	$0.212800\pi$
$569$	26.9961	+	37.1569i	1.13173	+	1.55770i	0.347002	+	0.937864i	$0.387200\pi$
$570$	−4.20618	−	1.36667i	−0.176178	−	0.0572436i
$571$		−	42.4864i		−	1.77800i	−0.457905	−	0.889001i	$-0.651400\pi$
$571$		−	42.4864i		−	1.77800i	0.457905	−	0.889001i	$-0.348600\pi$
$572$	8.38064	−	10.6811i	0.350412	−	0.446601i
$573$			1.78546i			0.0745885i
$574$	−15.4193	+	2.63188i	−0.643590	+	0.109853i
$575$	14.4598	−	10.5057i	0.603017	−	0.438118i
$576$	10.9503	+	7.95585i	0.456262	+	0.331494i
$577$	−29.2038	+	9.48889i	−1.21577	+	0.395028i	−0.845540	−	0.533913i	$-0.820721\pi$
$577$	−29.2038	+	9.48889i	−1.21577	+	0.395028i	−0.370230	+	0.928940i	$0.620721\pi$
$578$	7.50138	−	2.43735i	0.312016	−	0.101380i
$579$	28.9674	+	21.0461i	1.20385	+	0.874645i
$580$	−1.83757	+	1.33508i	−0.0763011	+	0.0554360i
$581$	−3.51926	−	20.6182i	−0.146004	−	0.855387i
$582$			8.42934i			0.349407i
$583$	0.750529	−	20.2893i	0.0310837	−	0.840298i
$584$			4.70525i			0.194705i
$585$	−7.10292	−	2.30788i	−0.293670	−	0.0954190i
$586$	−2.10160	−	2.89261i	−0.0868164	−	0.119493i
$587$	−10.2465	+	14.1031i	−0.422917	+	0.582096i	−0.966309	−	0.257383i	$-0.917140\pi$
$587$	−10.2465	+	14.1031i	−0.422917	+	0.582096i	0.543392	+	0.839479i	$0.317140\pi$
$588$	−10.0794	+	33.7518i	−0.415668	+	1.39190i
$589$	30.0885	−	9.77633i	1.23977	−	0.402827i
$590$	−0.836700	+	1.15162i	−0.0344464	+	0.0474114i
$591$	28.9504	−	21.0337i	1.19086	−	0.865212i
$592$	−5.83333	+	17.9531i	−0.239748	+	0.737869i
$593$	−5.06886			−0.208153			−0.104077	−	0.994569i	$-0.533189\pi$
$593$	−5.06886			−0.208153			−0.104077	+	0.994569i	$0.533189\pi$
$594$	10.5985	−	3.01537i	0.434863	−	0.123722i
$595$	−0.847648	−	1.61547i	−0.0347502	−	0.0662278i
$596$	7.62688	+	2.47812i	0.312409	+	0.101508i
$597$	−19.8486	+	14.4209i	−0.812351	+	0.590207i
$598$	2.66832	−	3.67262i	0.109116	−	0.150185i
$599$	−0.294029	−	0.904929i	−0.0120137	−	0.0369744i	0.944870	−	0.327446i	$-0.106188\pi$
$599$	−0.294029	−	0.904929i	−0.0120137	−	0.0369744i	−0.956884	+	0.290471i	$0.906188\pi$
$600$	−7.77551	−	23.9305i	−0.317434	−	0.976961i
$601$	−15.6139	−	11.3442i	−0.636904	−	0.462738i	0.221881	−	0.975074i	$-0.428780\pi$
$601$	−15.6139	−	11.3442i	−0.636904	−	0.462738i	−0.858785	+	0.512336i	$0.828780\pi$
$602$	−1.02129	+	2.06518i	−0.0416246	+	0.0841704i
$603$	10.5841	−	32.5744i	0.431016	−	1.32653i
$604$			22.9647i			0.934422i
$605$	4.27812	−	5.05585i	0.173930	−	0.205550i
$606$	−20.9146			−0.849598
$607$	5.95104	−	18.3154i	0.241545	−	0.743400i	−0.754640	−	0.656139i	$-0.772189\pi$
$607$	5.95104	−	18.3154i	0.241545	−	0.743400i	0.996185	−	0.0872611i	$-0.0278114\pi$
$608$	15.0541	+	20.7202i	0.610523	+	0.840313i
$609$	−16.2791	−	2.37884i	−0.659664	−	0.0963956i
$610$	0.814651	+	2.50724i	0.0329842	+	0.101515i
$611$	22.1079	−	7.18330i	0.894390	−	0.290605i
$612$	−8.57111	−	6.22727i	−0.346466	−	0.251723i
$613$	−2.91340	−	4.00995i	−0.117671	−	0.161960i	0.746118	−	0.665813i	$-0.231915\pi$
$613$	−2.91340	−	4.00995i	−0.117671	−	0.161960i	−0.863789	+	0.503853i	$0.831915\pi$
$614$	8.97506	+	2.91617i	0.362204	+	0.117687i
$615$	20.3917			0.822274
$616$	−11.3937	−	11.9780i	−0.459066	−	0.482609i
$617$	−41.6246			−1.67574			−0.837871	−	0.545869i	$-0.816200\pi$
$617$	−41.6246			−1.67574			−0.837871	+	0.545869i	$0.816200\pi$
$618$	7.73631	+	2.51368i	0.311200	+	0.101115i
$619$	−3.60384	−	4.96026i	−0.144850	−	0.199370i	0.730427	−	0.682991i	$-0.239321\pi$
$619$	−3.60384	−	4.96026i	−0.144850	−	0.199370i	−0.875277	+	0.483621i	$0.839321\pi$
$620$	−5.30757	−	3.85618i	−0.213157	−	0.154868i
$621$	−24.2228	+	7.87047i	−0.972029	+	0.315831i
$622$	0.557302	+	1.71520i	0.0223458	+	0.0687732i
$623$	−4.58927	+	31.4058i	−0.183865	+	1.25825i
$624$	10.1027	+	13.9052i	0.404432	+	0.556654i
$625$	6.08570	−	18.7299i	0.243428	−	0.749194i
$626$	13.2628			0.530086
$627$	−48.4244	−	1.79128i	−1.93388	−	0.0715369i
$628$		−	5.40081i		−	0.215516i
$629$	2.62259	−	8.07151i	0.104570	−	0.321832i
$630$	−1.87966	+	3.80091i	−0.0748874	+	0.151432i
$631$	6.36106	+	4.62158i	0.253230	+	0.183982i	0.707157	−	0.707057i	$-0.249977\pi$
$631$	6.36106	+	4.62158i	0.253230	+	0.183982i	−0.453927	+	0.891039i	$0.649977\pi$
$632$	0.693132	+	2.13324i	0.0275713	+	0.0848557i
$633$	15.7927	+	48.6049i	0.627703	+	1.93187i
$634$	−1.88083	+	2.58874i	−0.0746974	+	0.102812i
$635$	−4.61167	+	3.35057i	−0.183008	+	0.132963i
$636$	29.2970	+	9.51918i	1.16170	+	0.377460i
$637$	−9.31896	+	13.4948i	−0.369231	+	0.534683i
$638$	2.22236	−	2.83240i	0.0879842	−	0.112136i
$639$	−28.1990			−1.11553
$640$	2.11776	−	6.51779i	0.0837118	−	0.257638i
$641$	−10.3718	+	7.53556i	−0.409662	+	0.297637i	−0.773465	−	0.633839i	$-0.781478\pi$
$641$	−10.3718	+	7.53556i	−0.409662	+	0.297637i	0.363803	+	0.931476i	$0.381478\pi$
$642$	−6.83378	+	9.40589i	−0.269708	+	0.371221i
$643$	3.58204	−	1.16388i	0.141262	−	0.0458988i	−0.237533	−	0.971380i	$-0.576339\pi$
$643$	3.58204	−	1.16388i	0.141262	−	0.0458988i	0.378795	+	0.925481i	$0.376339\pi$
$644$	12.7482	+	12.4464i	0.502350	+	0.490458i
$645$	1.76538	−	2.42983i	0.0695116	−	0.0956745i
$646$	−1.71688	−	2.36308i	−0.0675498	−	0.0929743i
$647$	30.6901	+	9.97183i	1.20655	+	0.392033i	0.842168	−	0.539215i	$-0.181279\pi$
$647$	30.6901	+	9.97183i	1.20655	+	0.392033i	0.364386	+	0.931248i	$0.381279\pi$
$648$			5.93188i			0.233026i
$649$	−5.36465	+	14.6450i	−0.210581	+	0.574865i
$650$		−	5.46234i		−	0.214250i
$651$	−7.99532	−	46.8419i	−0.313361	−	1.83588i
$652$	2.88972	−	2.09951i	0.113170	−	0.0822230i
$653$	−15.0823	−	10.9579i	−0.590216	−	0.428817i	0.252177	−	0.967681i	$-0.418854\pi$
$653$	−15.0823	−	10.9579i	−0.590216	−	0.428817i	−0.842393	+	0.538864i	$0.818854\pi$
$654$	−18.3072	+	5.94839i	−0.715870	+	0.232600i
$655$	6.63060	−	2.15441i	0.259079	−	0.0841799i
$656$	−24.2347	−	17.6075i	−0.946205	−	0.687458i
$657$	10.6980	−	7.77256i	0.417369	−	0.303236i
$658$	−2.22060	−	13.0098i	−0.0865682	−	0.507174i
$659$		−	29.3896i		−	1.14486i	−0.819954	−	0.572429i	$-0.806001\pi$
$659$		−	29.3896i		−	1.14486i	0.819954	−	0.572429i	$-0.193999\pi$
$660$	5.60188	+	8.34228i	0.218053	+	0.324723i
$661$			10.6779i			0.415321i	0.978201	+	0.207660i	$0.0665849\pi$
$661$			10.6779i			0.415321i	−0.978201	+	0.207660i	$0.933415\pi$
$662$	−4.50187	−	1.46275i	−0.174970	−	0.0568512i
$663$	−4.54206	−	6.25161i	−0.176399	−	0.242792i
$664$	−8.75434	+	12.0493i	−0.339734	+	0.467604i
$665$	5.64545	−	5.78234i	0.218921	−	0.224230i
$666$	−18.7604	+	6.09563i	−0.726951	+	0.236201i
$667$	−4.89120	+	6.73217i	−0.189388	+	0.260671i
$668$	−10.3327	+	7.50714i	−0.399784	+	0.290460i
$669$	1.32218	−	4.06926i	0.0511185	−	0.157327i
$670$	−1.95820			−0.0756519
$671$	16.1026	+	23.9799i	0.621634	+	0.925733i
$672$	34.0646	−	17.8739i	1.31407	−	0.689502i
$673$	3.75350	+	1.21958i	0.144687	+	0.0470115i	0.380465	−	0.924795i	$-0.375764\pi$
$673$	3.75350	+	1.21958i	0.144687	+	0.0470115i	−0.235778	+	0.971807i	$0.575764\pi$
$674$	2.24427	−	1.63056i	0.0864461	−	0.0628068i
$675$	−18.0134	+	24.7934i	−0.693338	+	0.954298i
$676$	−4.05548	−	12.4815i	−0.155980	−	0.480057i
$677$	7.02753	+	21.6285i	0.270090	+	0.831251i	0.990477	+	0.137679i	$0.0439642\pi$
$677$	7.02753	+	21.6285i	0.270090	+	0.831251i	−0.720387	+	0.693572i	$0.756036\pi$
$678$	−1.17912	−	0.856682i	−0.0452839	−	0.0329007i
$679$	−13.8065	−	6.82769i	−0.529844	−	0.262023i
$680$	−0.401428	+	1.23547i	−0.0153941	+	0.0473781i
$681$			69.0775i			2.64706i
$682$	9.76416	+	3.57675i	0.373889	+	0.136961i
$683$	24.2074			0.926271			0.463136	−	0.886287i	$-0.346724\pi$
$683$	24.2074			0.926271			0.463136	+	0.886287i	$0.346724\pi$
$684$	14.5022	−	44.6330i	0.554504	−	1.70659i
$685$	3.49624	+	4.81217i	0.133585	+	0.183863i
$686$	6.81626	+	6.34317i	0.260246	+	0.242183i
$687$	0.324619	+	0.999075i	0.0123850	+	0.0381171i
$688$	−4.19614	+	1.36341i	−0.159976	+	0.0519795i
$689$	11.6029	+	8.42999i	0.442035	+	0.321157i
$690$	1.97495	+	2.71828i	0.0751849	+	0.103483i
$691$	−40.6642	−	13.2126i	−1.54694	−	0.502631i	−0.593660	−	0.804716i	$-0.702317\pi$
$691$	−40.6642	−	13.2126i	−1.54694	−	0.502631i	−0.953281	+	0.302085i	$0.902317\pi$
$692$	−14.2854			−0.543051
$693$	−8.41249	+	45.6916i	−0.319564	+	1.73568i
$694$	16.5784			0.629308
$695$	5.84997	+	1.90077i	0.221902	+	0.0721004i
$696$	6.88583	+	9.47753i	0.261007	+	0.359245i
$697$	10.8956	+	7.91612i	0.412701	+	0.299845i
$698$	12.7379	−	4.13879i	0.482136	−	0.156656i
$699$	2.35353	+	7.24341i	0.0890186	+	0.273971i
$700$	21.2127	+	3.09977i	0.801765	+	0.117160i
$701$	0.245685	+	0.338156i	0.00927939	+	0.0127720i	0.813631	−	0.581381i	$-0.197487\pi$
$701$	0.245685	+	0.338156i	0.00927939	+	0.0127720i	−0.804352	+	0.594153i	$0.797487\pi$
$702$	−2.40532	+	7.40282i	−0.0907830	+	0.279401i
$703$	37.5941			1.41789
$704$	0.313427	−	8.47301i	0.0118127	−	0.319338i
$705$			17.2052i			0.647985i
$706$	−4.94039	+	15.2050i	−0.185934	+	0.572246i
$707$	16.9407	−	34.2562i	0.637119	−	1.28834i
$708$	−19.1443	−	13.9092i	−0.719489	−	0.522739i
$709$	−11.9682	−	36.8342i	−0.449474	−	1.38334i	−0.877502	−	0.479573i	$-0.840791\pi$
$709$	−11.9682	−	36.8342i	−0.449474	−	1.38334i	0.428028	−	0.903766i	$-0.359209\pi$
$710$	0.498199	+	1.53330i	0.0186971	+	0.0575437i
$711$	3.70523	−	5.09981i	0.138957	−	0.191258i
$712$	18.2841	−	13.2842i	0.685225	−	0.497845i
$713$	−22.8589	−	7.42730i	−0.856071	−	0.278154i
$714$	−3.88499	+	2.03848i	−0.145392	+	0.0762882i
$715$	1.28024	+	4.49982i	0.0478782	+	0.168284i
$716$	10.8833			0.406727
$717$	−15.6681	+	48.2214i	−0.585136	+	1.80086i
$718$	12.8765	−	9.35531i	0.480546	−	0.349137i
$719$	−16.3079	+	22.4459i	−0.608182	+	0.837090i	−0.996426	−	0.0844661i	$-0.973082\pi$
$719$	−16.3079	+	22.4459i	−0.608182	+	0.837090i	0.388245	+	0.921556i	$0.373082\pi$
$720$	−7.72290	+	2.50932i	−0.287815	+	0.0935169i
$721$	−10.3835	+	10.6353i	−0.386703	+	0.396079i
$722$	1.99049	−	2.73968i	0.0740784	−	0.101960i
$723$	14.4926	+	19.9473i	0.538984	+	0.741848i
$724$	32.8370	+	10.6694i	1.22038	+	0.396524i
$725$			10.0128i			0.371867i
$726$	−12.1587	−	10.2883i	−0.451250	−	0.381835i
$727$		−	0.575775i		−	0.0213543i	−0.999943	−	0.0106772i	$-0.996601\pi$
$727$		−	0.575775i		−	0.0213543i	0.999943	−	0.0106772i	$-0.00339871\pi$
$728$	11.5112	−	1.96481i	0.426633	−	0.0728208i
$729$	−32.7055	+	23.7619i	−1.21132	+	0.880072i
$730$	−0.611632	−	0.444376i	−0.0226375	−	0.0164471i
$731$	1.88653	−	0.612972i	0.0697759	−	0.0226716i
$732$	−41.6800	+	13.5426i	−1.54054	+	0.500550i
$733$	−16.5846	−	12.0494i	−0.612567	−	0.445056i	0.237750	−	0.971326i	$-0.423590\pi$
$733$	−16.5846	−	12.0494i	−0.612567	−	0.445056i	−0.850317	+	0.526270i	$0.823590\pi$
$734$	4.43191	−	3.21997i	0.163585	−	0.118851i
$735$	−7.36787	−	9.64632i	−0.271768	−	0.355810i
$736$		−	19.4576i		−	0.717218i
$737$	−20.6364	+	5.87125i	−0.760153	+	0.216270i
$738$		−	31.3027i		−	1.15227i
$739$	29.1920	+	9.48505i	1.07384	+	0.348913i	0.791984	−	0.610542i	$-0.209048\pi$
$739$	29.1920	+	9.48505i	1.07384	+	0.348913i	0.281861	+	0.959455i	$0.409048\pi$
$740$	−4.58229	−	6.30698i	−0.168448	−	0.231849i
$741$	20.1198	−	27.6925i	0.739119	−	1.01731i
$742$	5.68844	−	5.82637i	0.208829	−	0.213893i
$743$	−22.6044	+	7.34460i	−0.829273	+	0.269447i	−0.692739	−	0.721188i	$-0.743596\pi$
$743$	−22.6044	+	7.34460i	−0.829273	+	0.269447i	−0.136534	+	0.990635i	$0.543596\pi$
$744$	−19.8887	+	27.3745i	−0.729157	+	1.00360i
$745$	−2.23567	+	1.62431i	−0.0819085	+	0.0595100i
$746$	0.848014	−	2.60992i	0.0310480	−	0.0955559i
$747$	41.8569			1.53146
$748$	−0.245329	+	6.63207i	−0.00897011	+	0.242492i
$749$	−9.87067	−	18.8118i	−0.360666	−	0.687367i
$750$	7.99068	+	2.59633i	0.291778	+	0.0948045i
$751$	−10.3161	+	7.49507i	−0.376439	+	0.273499i	−0.759876	−	0.650068i	$-0.774740\pi$
$751$	−10.3161	+	7.49507i	−0.376439	+	0.273499i	0.383437	+	0.923567i	$0.374740\pi$
$752$	14.8561	−	20.4476i	0.541744	−	0.745647i
$753$	−2.75639	−	8.48328i	−0.100448	−	0.309148i
$754$	0.785872	+	2.41867i	0.0286198	+	0.0880826i
$755$	−6.40218	−	4.65146i	−0.232999	−	0.169284i
$756$	−27.3835	−	13.5419i	−0.995928	−	0.492514i
$757$	7.72678	−	23.7806i	0.280835	−	0.864320i	−0.706782	−	0.707432i	$-0.749854\pi$
$757$	7.72678	−	23.7806i	0.280835	−	0.864320i	0.987616	−	0.156888i	$-0.0501463\pi$
$758$			2.99600i			0.108820i
$759$	28.9631	+	22.7251i	1.05129	+	0.824868i
$760$	−5.75435			−0.208732
$761$	−1.01459	+	3.12259i	−0.0367789	+	0.113194i	−0.967760	−	0.251872i	$-0.918954\pi$
$761$	−1.01459	+	3.12259i	−0.0367789	+	0.113194i	0.930982	+	0.365066i	$0.118954\pi$
$762$	8.05768	+	11.0904i	0.291899	+	0.401764i
$763$	5.08581	−	34.8037i	0.184119	−	1.25998i
$764$	0.334724	+	1.03017i	0.0121099	+	0.0372704i
$765$	3.47212	−	1.12816i	0.125535	−	0.0407887i
$766$	−12.6177	−	9.16730i	−0.455896	−	0.331228i
$767$	−6.47579	−	8.91316i	−0.233827	−	0.321836i
$768$	−1.66981	−	0.542554i	−0.0602541	−	0.0195777i
$769$	−16.9051			−0.609613			−0.304806	−	0.952414i	$-0.598592\pi$
$769$	−16.9051			−0.609613			−0.304806	+	0.952414i	$0.598592\pi$
$770$	2.63307	−	0.349822i	0.0948893	−	0.0126067i
$771$	39.3136			1.41584
$772$	20.6592	+	6.71259i	0.743542	+	0.241591i
$773$	−1.73912	−	2.39370i	−0.0625519	−	0.0860953i	0.776595	−	0.630000i	$-0.216945\pi$
$773$	−1.73912	−	2.39370i	−0.0625519	−	0.0860953i	−0.839147	+	0.543905i	$0.816945\pi$
$774$	−3.72995	−	2.70997i	−0.134070	−	0.0974079i
$775$	−27.5052	+	8.93697i	−0.988015	+	0.321025i
$776$	3.38915	+	10.4307i	0.121663	+	0.374441i
$777$	8.16475	−	55.8738i	0.292909	−	2.00446i
$778$	−6.91896	−	9.52314i	−0.248057	−	0.341421i
$779$	−18.4352	+	56.7376i	−0.660508	+	2.03284i
$780$	−7.09822			−0.254157
$781$	9.84753	+	14.6649i	0.352372	+	0.524751i
$782$			2.21910i			0.0793548i
$783$	4.40912	−	13.5699i	0.157569	−	0.484948i
$784$	0.427137	+	17.8261i	0.0152549	+	0.636647i
$785$	1.50565	+	1.09392i	0.0537391	+	0.0390437i
$786$	−5.18108	−	15.9457i	−0.184803	−	0.568765i
$787$	−5.33002	−	16.4041i	−0.189995	−	0.584743i	0.810004	−	0.586424i	$-0.199465\pi$
$787$	−5.33002	−	16.4041i	−0.189995	−	0.584743i	−0.999999	+	0.00168101i	$0.999465\pi$
$788$	12.7606	−	17.5635i	0.454578	−	0.625673i
$789$	49.3952	−	35.8877i	1.75851	−	1.27764i
$790$	−0.342760	−	0.111369i	−0.0121948	−	0.00396234i
$791$	2.35824	−	1.23739i	0.0838494	−	0.0439964i
$792$	27.4645	−	18.4425i	0.975908	−	0.655326i
$793$	−20.4039			−0.724562
$794$	4.63584	−	14.2676i	0.164520	−	0.506340i
$795$	−8.58783	+	6.23943i	−0.304579	+	0.221290i
$796$	−8.74877	+	12.0417i	−0.310092	+	0.426805i
$797$	−21.1480	+	6.87140i	−0.749101	+	0.243398i	−0.658594	−	0.752498i	$-0.728849\pi$
$797$	−21.1480	+	6.87140i	−0.749101	+	0.243398i	−0.0905065	+	0.995896i	$0.528849\pi$
$798$	−13.9058	−	13.5766i	−0.492259	−	0.480605i
$799$	−6.67910	+	9.19299i	−0.236289	+	0.325225i
$800$	−13.7616	−	18.9412i	−0.486546	−	0.669672i
$801$	−60.4066	−	19.6273i	−2.13436	−	0.693496i
$802$			10.3289i			0.364727i
$803$	−7.77803	−	2.84920i	−0.274481	−	0.100546i
$804$		−	32.5528i		−	1.14805i
$805$	−6.05198	+	1.03300i	−0.213304	+	0.0364083i
$806$	−5.94262	+	4.31757i	−0.209320	+	0.152080i
$807$	32.8770	+	23.8866i	1.15733	+	0.840847i
$808$	−25.8804	+	8.40905i	−0.910469	+	0.295829i
$809$	8.97923	−	2.91753i	0.315693	−	0.102575i	−0.146885	−	0.989154i	$-0.546925\pi$
$809$	8.97923	−	2.91753i	0.315693	−	0.102575i	0.462578	+	0.886579i	$0.346925\pi$
$810$	−0.771081	−	0.560223i	−0.0270930	−	0.0196842i
$811$	−23.9489	+	17.3999i	−0.840960	+	0.610993i	−0.922639	−	0.385666i	$-0.873972\pi$
$811$	−23.9489	+	17.3999i	−0.840960	+	0.610993i	0.0816789	+	0.996659i	$0.473972\pi$
$812$	−9.83873	+	1.67935i	−0.345272	+	0.0589335i
$813$		−	45.3506i		−	1.59052i
$814$	9.72147	+	7.62767i	0.340737	+	0.267350i
$815$			1.23086i			0.0431150i
$816$	−7.99068	−	2.59633i	−0.279730	−	0.0908897i
$817$	5.16473	+	7.10864i	0.180691	+	0.248700i
$818$	3.67782	−	5.06209i	0.128592	−	0.176992i
$819$	−23.4825	−	22.9265i	−0.820544	−	0.801118i
$820$	11.7657	−	3.82289i	0.410874	−	0.133501i
$821$	23.6980	−	32.6174i	0.827065	−	1.13836i	−0.161398	−	0.986889i	$-0.551600\pi$
$821$	23.6980	−	32.6174i	0.827065	−	1.13836i	0.988462	−	0.151467i	$-0.0483998\pi$
$822$	11.5726	−	8.40800i	0.403642	−	0.293263i
$823$	−12.7996	+	39.3932i	−0.446166	+	1.37316i	0.435033	+	0.900415i	$0.356737\pi$
$823$	−12.7996	+	39.3932i	−0.446166	+	1.37316i	−0.881199	+	0.472745i	$0.843263\pi$
$824$	10.5838			0.368705
$825$	44.2669	+	1.63749i	1.54117	+	0.0570100i
$826$	−5.53898	+	2.90634i	−0.192726	+	0.101125i
$827$	29.2143	+	9.49231i	1.01588	+	0.330080i	0.769194	−	0.639015i	$-0.220658\pi$
$827$	29.2143	+	9.49231i	1.01588	+	0.330080i	0.246688	+	0.969095i	$0.420658\pi$
$828$	−28.8445	+	20.9567i	−1.00241	+	0.728297i
$829$	26.2454	−	36.1238i	0.911542	−	1.25463i	−0.0550955	−	0.998481i	$-0.517546\pi$
$829$	26.2454	−	36.1238i	0.911542	−	1.25463i	0.966637	−	0.256149i	$-0.0824537\pi$
$830$	−0.739498	−	2.27594i	−0.0256683	−	0.0789990i
$831$	5.94887	+	18.3088i	0.206364	+	0.635124i
$832$	4.84547	+	3.52044i	0.167986	+	0.122049i
$833$	−0.192035	−	8.01440i	−0.00665363	−	0.277682i
$834$	4.57110	−	14.0684i	0.158284	−	0.487149i
$835$		−	4.40114i		−	0.152308i
$836$	−28.2758	+	8.04472i	−0.977939	+	0.278232i
$837$	41.2117			1.42448
$838$	−2.34144	+	7.20622i	−0.0808838	+	0.248935i
$839$	−1.03777	−	1.42836i	−0.0358277	−	0.0493125i	0.790727	−	0.612168i	$-0.209703\pi$
$839$	−1.03777	−	1.42836i	−0.0358277	−	0.0493125i	−0.826555	+	0.562856i	$0.809703\pi$
$840$	−1.24974	+	8.55235i	−0.0431202	+	0.295084i
$841$	7.52094	+	23.1471i	0.259343	+	0.798175i
$842$	2.89204	−	0.939680i	0.0996662	−	0.0323835i
$843$	−51.5461	−	37.4505i	−1.77534	−	1.28986i
$844$	18.2242	+	25.0834i	0.627302	+	0.863407i
$845$	4.30106	+	1.39750i	0.147961	+	0.0480754i
$846$	26.4111			0.908033
$847$	26.6997	−	11.5813i	0.917412	−	0.397938i
$848$	15.5938			0.535493
$849$	38.0090	+	12.3499i	1.30447	+	0.423847i
$850$	1.56948	+	2.16020i	0.0538326	+	0.0740942i
$851$	−23.1064	−	16.7878i	−0.792076	−	0.575477i
$852$	−25.4894	+	8.28200i	−0.873251	+	0.283736i
$853$	−9.93369	−	30.5727i	−0.340123	−	1.04679i	−0.964143	−	0.265383i	$-0.914502\pi$
$853$	−9.93369	−	30.5727i	−0.340123	−	1.04679i	0.624020	−	0.781408i	$-0.285498\pi$
$854$	−1.67503	+	11.4628i	−0.0573184	+	0.392247i
$855$	9.50556	+	13.0833i	0.325083	+	0.447439i
$856$	−4.67454	+	14.3868i	−0.159773	+	0.491730i
$857$	16.6829			0.569876			0.284938	−	0.958546i	$-0.408027\pi$
$857$	16.6829			0.569876			0.284938	+	0.958546i	$0.408027\pi$
$858$	10.8215	−	3.07881i	0.369439	−	0.105109i
$859$			33.8229i			1.15402i	0.816736	+	0.577011i	$0.195781\pi$
$859$			33.8229i			1.15402i	−0.816736	+	0.577011i	$0.804219\pi$
$860$	0.563062	−	1.73293i	0.0192003	−	0.0590923i
$861$	80.3220	+	39.7215i	2.73737	+	1.35370i
$862$	−2.94704	−	2.14115i	−0.100376	−	0.0729277i
$863$	14.0042	+	43.1004i	0.476707	+	1.46715i	0.843641	+	0.536907i	$0.180407\pi$
$863$	14.0042	+	43.1004i	0.476707	+	1.46715i	−0.366934	+	0.930247i	$0.619593\pi$
$864$	10.3097	+	31.7299i	0.350742	+	1.07947i
$865$	2.89348	−	3.98254i	0.0983814	−	0.135410i
$866$	4.13629	−	3.00519i	0.140557	−	0.102120i
$867$	−42.9717	−	13.9623i	−1.45939	−	0.474186i
$868$	−13.3947	−	25.5280i	−0.454647	−	0.866477i
$869$	−3.94608	−	0.145971i	−0.133862	−	0.00495171i
$870$	−1.88229			−0.0638157
$871$	4.68341	−	14.4141i	0.158691	−	0.488402i
$872$	−20.2623	+	14.7214i	−0.686169	+	0.498531i
$873$	18.1171	−	24.9361i	0.613172	−	0.843959i
$874$	−9.34875	+	3.03759i	−0.316226	+	0.102748i
$875$	−10.7249	+	10.9850i	−0.362568	+	0.371360i
$876$	7.38725	−	10.1677i	0.249592	−	0.343534i
$877$	−25.0885	−	34.5313i	−0.847178	−	1.16604i	−0.984478	−	0.175510i	$-0.943842\pi$
$877$	−25.0885	−	34.5313i	−0.847178	−	1.16604i	0.137300	−	0.990530i	$-0.456158\pi$
$878$	−4.09980	−	1.33211i	−0.138362	−	0.0449564i
$879$			20.4820i			0.690842i
$880$	4.00193	+	3.14000i	0.134905	+	0.105849i
$881$		−	21.4936i		−	0.724139i	−0.932151	−	0.362070i	$-0.882070\pi$
$881$		−	21.4936i		−	0.724139i	0.932151	−	0.362070i	$-0.117930\pi$
$882$	−14.8078	+	11.3102i	−0.498603	+	0.380833i
$883$	−11.9795	+	8.70360i	−0.403141	+	0.292899i	−0.770819	−	0.637054i	$-0.780153\pi$
$883$	−11.9795	+	8.70360i	−0.403141	+	0.292899i	0.367678	+	0.929953i	$0.380153\pi$
$884$	−3.79269	−	2.75555i	−0.127562	−	0.0926791i
$885$	7.75529	−	2.51985i	0.260691	−	0.0847038i
$886$	4.69315	−	1.52490i	0.157669	−	0.0512299i
$887$	7.47044	+	5.42760i	0.250833	+	0.182241i	0.706096	−	0.708116i	$-0.250455\pi$
$887$	7.47044	+	5.42760i	0.250833	+	0.182241i	−0.455263	+	0.890357i	$0.650455\pi$
$888$	−32.5291	+	23.6338i	−1.09161	+	0.793098i
$889$	−24.6918	+	4.21457i	−0.828135	+	0.141352i
$890$			3.63132i			0.121722i
$891$	−9.80573	−	3.59197i	−0.328504	−	0.120336i
$892$		−	2.59576i		−	0.0869124i
$893$	−47.8714	−	15.5544i	−1.60196	−	0.520507i
$894$	3.90625	+	5.37649i	0.130644	+	0.179817i
$895$	−2.20438	+	3.03407i	−0.0736844	+	0.101418i
$896$	21.0379	−	21.5480i	0.702826	−	0.719869i
$897$	−24.7324	+	8.03604i	−0.825790	+	0.268316i
$898$	−4.58615	+	6.31230i	−0.153042	+	0.210644i
$899$	10.8932	−	7.91440i	0.363310	−	0.263960i
$900$	−13.2570	+	40.8010i	−0.441902	+	1.36003i
$901$	−7.01077			−0.233563
$902$	−16.2790	+	10.9314i	−0.542030	+	0.363976i
$903$	11.6868	−	6.13217i	0.388914	−	0.204066i
$904$	−1.80352	−	0.586000i	−0.0599843	−	0.0194901i
$905$	−9.62551	+	6.99334i	−0.319963	+	0.232466i
$906$	−11.1861	+	15.3964i	−0.371634	+	0.511511i
$907$	0.311594	+	0.958987i	0.0103463	+	0.0318426i	0.956096	−	0.293052i	$-0.0946710\pi$
$907$	0.311594	+	0.958987i	0.0103463	+	0.0318426i	−0.945750	+	0.324895i	$0.894671\pi$
$908$	12.9501	+	39.8564i	0.429766	+	1.32268i
$909$	61.8707	+	44.9517i	2.05212	+	1.49095i
$910$	−0.831743	+	1.68189i	−0.0275720	+	0.0557542i
$911$	8.06560	−	24.8234i	0.267225	−	0.822434i	−0.723947	−	0.689855i	$-0.757674\pi$
$911$	8.06560	−	24.8234i	0.267225	−	0.822434i	0.991172	−	0.132579i	$-0.0423259\pi$
$912$		−	37.2176i		−	1.23240i
$913$	−14.6171	−	21.7677i	−0.483755	−	0.720406i
$914$	13.7207			0.453840
$915$	4.66673	−	14.3627i	0.154277	−	0.474816i
$916$	0.374598	+	0.515590i	0.0123771	+	0.0170356i
$917$	30.3142	+	4.42977i	1.00106	+	0.146284i
$918$	−1.17579	−	3.61872i	−0.0388069	−	0.119435i
$919$	−45.0574	+	14.6400i	−1.48631	+	0.482930i	−0.935990	−	0.352026i	$-0.885493\pi$
$919$	−45.0574	+	14.6400i	−1.48631	+	0.482930i	−0.550316	+	0.834956i	$0.685493\pi$
$920$	3.53679	+	2.56963i	0.116604	+	0.0847181i
$921$	−31.7754	−	43.7350i	−1.04703	−	1.44112i
$922$	16.2740	+	5.28774i	0.535955	+	0.174142i
$923$	−12.4780			−0.410717
$924$	5.81540	+	43.7718i	0.191312	+	1.43999i
$925$	−34.3664			−1.12996
$926$	9.22341	+	2.99687i	0.303100	+	0.0984832i
$927$	−17.4833	−	24.0637i	−0.574227	−	0.790356i
$928$	8.81858	+	6.40707i	0.289484	+	0.210322i
$929$	−20.7839	+	6.75309i	−0.681897	+	0.221562i	−0.629426	−	0.777061i	$-0.716710\pi$
$929$	−20.7839	+	6.75309i	−0.681897	+	0.221562i	−0.0524710	+	0.998622i	$0.516710\pi$
$930$	−1.68004	−	5.17065i	−0.0550908	−	0.169552i
$931$	33.5007	−	11.7795i	1.09794	−	0.386056i
$932$	2.71588	+	3.73809i	0.0889617	+	0.122445i
$933$	3.19250	−	9.82552i	0.104518	−	0.321673i
$934$	12.1311			0.396942
$935$	−1.79922	−	1.41170i	−0.0588407	−	0.0461677i
$936$			23.3688i			0.763833i
$937$	6.57715	−	20.2424i	0.214866	−	0.661289i	−0.784297	−	0.620385i	$-0.786976\pi$
$937$	6.57715	−	20.2424i	0.214866	−	0.661289i	0.999163	−	0.0409041i	$-0.0130238\pi$
$938$	−7.71325	−	3.81442i	−0.251846	−	0.124545i
$939$	−61.4656	−	44.6574i	−2.00585	−	1.45734i
$940$	3.22550	+	9.92707i	0.105204	+	0.323785i
$941$	0.750998	+	2.31133i	0.0244818	+	0.0753473i	0.962551	−	0.271101i	$-0.0873877\pi$
$941$	0.750998	+	2.31133i	0.0244818	+	0.0753473i	−0.938069	+	0.346448i	$0.887388\pi$
$942$	2.63074	−	3.62090i	0.0857140	−	0.117975i
$943$	36.6672	−	26.6402i	1.19405	−	0.867526i
$944$	−11.3926	−	3.70169i	−0.370798	−	0.120480i
$945$	9.32173	−	4.89117i	0.303236	−	0.159110i
$946$	−0.106762	+	2.88613i	−0.00347112	+	0.0938361i
$947$	2.50040			0.0812520			0.0406260	−	0.999174i	$-0.487065\pi$
$947$	2.50040			0.0812520			0.0406260	+	0.999174i	$0.487065\pi$
$948$	1.85139	−	5.69799i	0.0601303	−	0.185062i
$949$	4.73383	−	3.43933i	0.153667	−	0.111645i
$950$	−6.95225	+	9.56896i	−0.225561	+	0.310458i
$951$	17.4333	−	5.66441i	0.565312	−	0.183681i
$952$	−3.98780	+	4.08450i	−0.129245	+	0.132379i
$953$	−13.5195	+	18.6079i	−0.437938	+	0.602770i	−0.969752	−	0.244091i	$-0.921510\pi$
$953$	−13.5195	+	18.6079i	−0.437938	+	0.602770i	0.531814	+	0.846861i	$0.321510\pi$
$954$	9.57794	+	13.1829i	0.310097	+	0.426812i
$955$	−0.354993	−	0.115344i	−0.0114873	−	0.00373245i
$956$			30.7602i			0.994856i
$957$	−19.8365	+	5.64366i	−0.641223	+	0.182434i
$958$		−	19.6000i		−	0.633246i
$959$	4.39780	+	25.7653i	0.142013	+	0.832004i
$960$	−3.58636	+	2.60564i	−0.115749	+	0.0840967i
$961$	6.38403	+	4.63827i	0.205937	+	0.149622i
$962$	−8.30143	+	2.69730i	−0.267649	+	0.0869643i
$963$	40.4321	−	13.1372i	1.30290	−	0.423339i
$964$	12.1015	+	8.79227i	0.389764	+	0.283180i
$965$	−6.05584	+	4.39983i	−0.194944	+	0.141635i
$966$	2.48422	+	14.5542i	0.0799284	+	0.468274i
$967$			38.6426i			1.24266i	0.783548	+	0.621331i	$0.213408\pi$
$967$			38.6426i			1.24266i	−0.783548	+	0.621331i	$0.786592\pi$
$968$	−19.1821	−	7.84250i	−0.616535	−	0.252067i
$969$			16.7326i			0.537527i
$970$	−1.67596	−	0.544553i	−0.0538119	−	0.0174845i
$971$	−32.4827	−	44.7086i	−1.04242	−	1.43477i	−0.895202	−	0.445662i	$-0.852968\pi$
$971$	−32.4827	−	44.7086i	−1.04242	−	1.43477i	−0.147217	−	0.989104i	$-0.547032\pi$
$972$	−11.0474	+	15.2054i	−0.354345	+	0.487714i
$973$	19.3402	+	18.8823i	0.620018	+	0.605339i
$974$	0.398809	−	0.129581i	0.0127787	−	0.00415204i
$975$	−18.3924	+	25.3149i	−0.589028	+	0.810727i
$976$	−17.9479	+	13.0399i	−0.574498	+	0.417397i
$977$	16.6698	−	51.3043i	0.533313	−	1.64137i	−0.213953	−	0.976844i	$-0.568634\pi$
$977$	16.6698	−	51.3043i	0.533313	−	1.64137i	0.747266	−	0.664525i	$-0.231366\pi$
$978$	2.96005			0.0946519
$979$	10.8878	+	38.2686i	0.347974	+	1.22307i
$980$	−6.05954	−	4.18447i	−0.193565	−	0.133668i
$981$	66.9423	+	21.7509i	2.13730	+	0.694452i
$982$	−11.1406	+	8.09414i	−0.355512	+	0.258295i
$983$	−18.7764	+	25.8435i	−0.598875	+	0.824280i	−0.995605	−	0.0936552i	$-0.970145\pi$
$983$	−18.7764	+	25.8435i	−0.598875	+	0.824280i	0.396730	+	0.917935i	$0.370145\pi$
$984$	−19.7171	−	60.6829i	−0.628557	−	1.93450i
$985$	2.31177	+	7.11489i	0.0736591	+	0.226699i
$986$	−1.00574	−	0.730711i	−0.0320292	−	0.0232706i
$987$	−33.5143	+	67.7703i	−1.06677	+	2.15715i
$988$	6.41716	−	19.7500i	0.204157	−	0.628331i
$989$		−	6.67550i		−	0.212269i
$990$	−0.196492	+	5.31185i	−0.00624493	+	0.168822i
$991$	46.5004			1.47713			0.738567	−	0.674180i	$-0.235503\pi$
$991$	46.5004			1.47713			0.738567	+	0.674180i	$0.235503\pi$
$992$	−9.72914	+	29.9432i	−0.308901	+	0.950698i
$993$	15.9384	+	21.9374i	0.505791	+	0.696162i
$994$	−1.02437	+	7.01004i	−0.0324909	+	0.222345i
$995$	−1.58497	−	4.87802i	−0.0502468	−	0.154644i
$996$	37.8349	−	12.2933i	1.19884	−	0.389528i
$997$	44.4546	+	32.2982i	1.40789	+	1.02289i	0.993625	+	0.112738i	$0.0359622\pi$
$997$	44.4546	+	32.2982i	1.40789	+	1.02289i	0.414267	+	0.910155i	$0.364038\pi$
$998$	−5.88323	−	8.09758i	−0.186230	−	0.256324i
$999$	46.5750	+	15.1331i	1.47357	+	0.478791i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	77.2.l.b.13.3	yes	16
3.2	odd	2		693.2.bu.d.244.1		16
7.2	even	3		539.2.s.b.178.2		16
7.3	odd	6		539.2.s.c.68.2		16
7.4	even	3		539.2.s.c.68.1		16
7.5	odd	6		539.2.s.b.178.1		16
7.6	odd	2	inner	77.2.l.b.13.4	yes	16
11.2	odd	10		847.2.l.j.118.3		16
11.3	even	5		847.2.l.j.524.4		16
11.4	even	5		847.2.b.f.846.10		16
11.5	even	5		847.2.l.i.699.2		16
11.6	odd	10	inner	77.2.l.b.6.4	yes	16
11.7	odd	10		847.2.b.f.846.8		16
11.8	odd	10		847.2.l.e.524.2		16
11.9	even	5		847.2.l.e.118.1		16
11.10	odd	2		847.2.l.i.475.1		16
21.20	even	2		693.2.bu.d.244.2		16
33.17	even	10		693.2.bu.d.622.2		16
77.6	even	10	inner	77.2.l.b.6.3	✓	16
77.13	even	10		847.2.l.j.118.4		16
77.17	even	30		539.2.s.b.215.2		16
77.20	odd	10		847.2.l.e.118.2		16
77.27	odd	10		847.2.l.i.699.1		16
77.39	odd	30		539.2.s.b.215.1		16
77.41	even	10		847.2.l.e.524.1		16
77.48	odd	10		847.2.b.f.846.9		16
77.61	even	30		539.2.s.c.325.1		16
77.62	even	10		847.2.b.f.846.7		16
77.69	odd	10		847.2.l.j.524.3		16
77.72	odd	30		539.2.s.c.325.2		16
77.76	even	2		847.2.l.i.475.2		16
231.83	odd	10		693.2.bu.d.622.1		16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
77.2.l.b.6.3	✓	16	77.6	even	10	inner
77.2.l.b.6.4	yes	16	11.6	odd	10	inner
77.2.l.b.13.3	yes	16	1.1	even	1	trivial
77.2.l.b.13.4	yes	16	7.6	odd	2	inner
539.2.s.b.178.1		16	7.5	odd	6
539.2.s.b.178.2		16	7.2	even	3
539.2.s.b.215.1		16	77.39	odd	30
539.2.s.b.215.2		16	77.17	even	30
539.2.s.c.68.1		16	7.4	even	3
539.2.s.c.68.2		16	7.3	odd	6
539.2.s.c.325.1		16	77.61	even	30
539.2.s.c.325.2		16	77.72	odd	30
693.2.bu.d.244.1		16	3.2	odd	2
693.2.bu.d.244.2		16	21.20	even	2
693.2.bu.d.622.1		16	231.83	odd	10
693.2.bu.d.622.2		16	33.17	even	10
847.2.b.f.846.7		16	77.62	even	10
847.2.b.f.846.8		16	11.7	odd	10
847.2.b.f.846.9		16	77.48	odd	10
847.2.b.f.846.10		16	11.4	even	5
847.2.l.e.118.1		16	11.9	even	5
847.2.l.e.118.2		16	77.20	odd	10
847.2.l.e.524.1		16	77.41	even	10
847.2.l.e.524.2		16	11.8	odd	10
847.2.l.i.475.1		16	11.10	odd	2
847.2.l.i.475.2		16	77.76	even	2
847.2.l.i.699.1		16	77.27	odd	10
847.2.l.i.699.2		16	11.5	even	5
847.2.l.j.118.3		16	11.2	odd	10
847.2.l.j.118.4		16	77.13	even	10
847.2.l.j.524.3		16	77.69	odd	10
847.2.l.j.524.4		16	11.3	even	5

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:	\( N \)	\(=\)	\( 77 = 7 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	77.l (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.478148 + 0.155360i) q^{2} +(-1.69284 - 2.32999i) q^{3} +(-1.41355 - 1.02700i) q^{4} +(0.572621 - 0.186056i) q^{5} +(-0.447440 - 1.37708i) q^{6} +(2.61795 + 0.382556i) q^{7} +(-1.10735 - 1.52414i) q^{8} +(-1.63611 + 5.03542i) q^{9} +O(q^{10})\)	\(q+(0.478148 + 0.155360i) q^{2} +(-1.69284 - 2.32999i) q^{3} +(-1.41355 - 1.02700i) q^{4} +(0.572621 - 0.186056i) q^{5} +(-0.447440 - 1.37708i) q^{6} +(2.61795 + 0.382556i) q^{7} +(-1.10735 - 1.52414i) q^{8} +(-1.63611 + 5.03542i) q^{9} +0.302703 q^{10} +(3.19003 - 0.907591i) q^{11} +5.03209i q^{12} +(-0.723973 + 2.22816i) q^{13} +(1.19233 + 0.589642i) q^{14} +(-1.40286 - 1.01924i) q^{15} +(0.787165 + 2.42264i) q^{16} +(-0.353899 - 1.08919i) q^{17} +(-1.56460 + 2.15349i) q^{18} +(4.10418 - 2.98186i) q^{19} +(-1.00051 - 0.325084i) q^{20} +(-3.54041 - 6.74740i) q^{21} +(1.66631 + 0.0616389i) q^{22} -3.85410 q^{23} +(-1.67666 + 5.16024i) q^{24} +(-3.75181 + 2.72585i) q^{25} +(-0.692332 + 0.952913i) q^{26} +(6.28495 - 2.04210i) q^{27} +(-3.30770 - 3.22940i) q^{28} +(1.26909 - 1.74675i) q^{29} +(-0.512427 - 0.705295i) q^{30} +(5.93105 + 1.92711i) q^{31} +5.04855i q^{32} +(-7.51488 - 5.89633i) q^{33} -0.575775i q^{34} +(1.57027 - 0.268025i) q^{35} +(7.48410 - 5.43751i) q^{36} +(5.99527 + 4.35582i) q^{37} +(2.42566 - 0.788146i) q^{38} +(6.41716 - 2.08506i) q^{39} +(-0.917668 - 0.666725i) q^{40} +(-9.51380 + 6.91218i) q^{41} +(-0.644564 - 3.77629i) q^{42} +1.73205i q^{43} +(-5.44135 - 1.99324i) q^{44} +3.18780i q^{45} +(-1.84283 - 0.598772i) q^{46} +(-5.83204 - 8.02711i) q^{47} +(4.31220 - 5.93523i) q^{48} +(6.70730 + 2.00302i) q^{49} +(-2.21740 + 0.720478i) q^{50} +(-1.93871 + 2.66840i) q^{51} +(3.31169 - 2.40608i) q^{52} +(1.89169 - 5.82203i) q^{53} +3.32239 q^{54} +(1.65782 - 1.11323i) q^{55} +(-2.31592 - 4.41374i) q^{56} +(-13.8954 - 4.51489i) q^{57} +(0.878188 - 0.638041i) q^{58} +(-2.76409 + 3.80445i) q^{59} +(0.936251 + 2.88148i) q^{60} +(2.69125 + 8.28283i) q^{61} +(2.53652 + 1.84289i) q^{62} +(-6.20958 + 12.5566i) q^{63} +(0.789988 - 2.43133i) q^{64} +1.41059i q^{65} +(-2.67717 - 3.98683i) q^{66} -6.46905 q^{67} +(-0.618347 + 1.90308i) q^{68} +(6.52437 + 8.98002i) q^{69} +(0.792461 + 0.115801i) q^{70} +(1.64583 + 5.06536i) q^{71} +(9.48643 - 3.08233i) q^{72} +(-2.02057 - 1.46803i) q^{73} +(2.18990 + 3.01415i) q^{74} +(12.7024 + 4.12726i) q^{75} -8.86381 q^{76} +(8.69853 - 1.15566i) q^{77} +3.39228 q^{78} +(-1.13233 - 0.367916i) q^{79} +(0.901494 + 1.24080i) q^{80} +(-2.54732 - 1.85073i) q^{81} +(-5.62287 + 1.82698i) q^{82} +(-2.44298 - 7.51872i) q^{83} +(-1.92506 + 13.1738i) q^{84} +(-0.405301 - 0.557848i) q^{85} +(-0.269091 + 0.828176i) q^{86} -6.21828 q^{87} +(-4.91578 - 3.85702i) q^{88} +11.9963i q^{89} +(-0.495255 + 1.52424i) q^{90} +(-2.74772 + 5.55624i) q^{91} +(5.44795 + 3.95817i) q^{92} +(-5.55014 - 17.0816i) q^{93} +(-1.54149 - 4.74421i) q^{94} +(1.79535 - 2.47108i) q^{95} +(11.7631 - 8.54638i) q^{96} +(-5.53666 - 1.79897i) q^{97} +(2.89589 + 1.99978i) q^{98} +(-0.649125 + 17.5481i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 16 q - 10 q^{2} - 10 q^{4} - 10 q^{7} + 10 q^{8} + 8 q^{9}+O(q^{10}) \) 16 * q - 10 * q^2 - 10 * q^4 - 10 * q^7 + 10 * q^8 + 8 * q^9	\( 16 q - 10 q^{2} - 10 q^{4} - 10 q^{7} + 10 q^{8} + 8 q^{9} + 2 q^{11} + 8 q^{14} - 14 q^{16} - 20 q^{18} + 42 q^{22} - 8 q^{23} - 30 q^{25} - 10 q^{28} + 10 q^{29} - 40 q^{30} + 40 q^{35} + 20 q^{36} + 4 q^{37} + 30 q^{39} + 50 q^{42} - 10 q^{44} - 10 q^{46} + 8 q^{49} - 60 q^{50} - 10 q^{51} - 4 q^{56} - 90 q^{57} - 2 q^{58} + 120 q^{60} - 20 q^{63} - 38 q^{64} - 4 q^{67} - 56 q^{71} + 30 q^{72} + 90 q^{74} + 2 q^{77} - 20 q^{78} + 50 q^{79} - 16 q^{81} - 70 q^{84} + 80 q^{85} + 6 q^{86} - 86 q^{88} - 30 q^{91} + 20 q^{92} - 40 q^{93} - 60 q^{95} + 36 q^{99}+O(q^{100}) \) 16 * q - 10 * q^2 - 10 * q^4 - 10 * q^7 + 10 * q^8 + 8 * q^9 + 2 * q^11 + 8 * q^14 - 14 * q^16 - 20 * q^18 + 42 * q^22 - 8 * q^23 - 30 * q^25 - 10 * q^28 + 10 * q^29 - 40 * q^30 + 40 * q^35 + 20 * q^36 + 4 * q^37 + 30 * q^39 + 50 * q^42 - 10 * q^44 - 10 * q^46 + 8 * q^49 - 60 * q^50 - 10 * q^51 - 4 * q^56 - 90 * q^57 - 2 * q^58 + 120 * q^60 - 20 * q^63 - 38 * q^64 - 4 * q^67 - 56 * q^71 + 30 * q^72 + 90 * q^74 + 2 * q^77 - 20 * q^78 + 50 * q^79 - 16 * q^81 - 70 * q^84 + 80 * q^85 + 6 * q^86 - 86 * q^88 - 30 * q^91 + 20 * q^92 - 40 * q^93 - 60 * q^95 + 36 * q^99

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