LMFDB - Embedded newform 58.3.f.b.11.3

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [58,3,Mod(3,58)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(58, base_ring=CyclotomicField(28)) chi = DirichletCharacter(H, H._module([5])) N = Newforms(chi, 3, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("58.3"); S:= CuspForms(chi, 3); N := Newforms(S);

Level:	$N$	$=$	$58 = 2 \cdot 29$
Weight:	$k$	$=$	$3$
Character orbit:	$[\chi]$	$=$	58.f (of order $28$ , degree $12$ , minimal)

Newform invariants

comment:select newform

sage:traces = [36] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(1)] == traces)

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

Self dual:	no
Analytic conductor:	$1.58038553329$
Analytic rank:	$0$
Dimension:	$36$
Relative dimension:	$3$ over $\Q(\zeta_{28})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{28}]$

Embedding invariants

Embedding label			11.3
Character	$\chi$	$=$	58.11
Dual form			58.3.f.b.37.3

$q$ -expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.33485 - 0.467085i) q^{2} +(0.397504 + 3.52794i) q^{3} +(1.56366 - 1.24698i) q^{4} +(-0.990768 + 2.05735i) q^{5} +(2.17846 + 4.52361i) q^{6} +(1.68871 - 2.11758i) q^{7} +(1.50481 - 2.39490i) q^{8} +(-3.51401 + 0.802050i) q^{9} +(-0.361571 + 3.20903i) q^{10} +(-8.26427 - 13.1525i) q^{11} +(5.02083 + 5.02083i) q^{12} +(2.24005 + 0.511276i) q^{13} +(1.26509 - 3.61543i) q^{14} +(-7.65205 - 2.67757i) q^{15} +(0.890084 - 3.89971i) q^{16} +(7.53643 - 7.53643i) q^{17} +(-4.31606 + 2.71196i) q^{18} +(-18.6721 - 2.10384i) q^{19} +(1.01625 + 4.45247i) q^{20} +(8.14197 + 5.11594i) q^{21} +(-17.1749 - 13.6965i) q^{22} +(-23.4171 + 11.2771i) q^{23} +(9.04723 + 4.35691i) q^{24} +(12.3362 + 15.4691i) q^{25} +(3.22894 - 0.363814i) q^{26} +(6.32679 + 18.0809i) q^{27} -5.41697i q^{28} +(-28.9994 + 0.180801i) q^{29} -11.4650 q^{30} +(26.6754 - 9.33412i) q^{31} +(-0.633367 - 5.62129i) q^{32} +(43.1162 - 34.3840i) q^{33} +(6.53987 - 13.5802i) q^{34} +(2.68348 + 5.57231i) q^{35} +(-4.49459 + 5.63603i) q^{36} +(29.0552 - 46.2411i) q^{37} +(-25.9072 + 5.91314i) q^{38} +(-0.913325 + 8.10599i) q^{39} +(3.43622 + 5.46872i) q^{40} +(39.4715 + 39.4715i) q^{41} +(13.2579 + 3.02603i) q^{42} +(-18.7484 + 53.5798i) q^{43} +(-29.3235 - 10.2607i) q^{44} +(1.83147 - 8.02420i) q^{45} +(-25.9910 + 25.9910i) q^{46} +(15.8446 - 9.95582i) q^{47} +(14.1118 + 1.59001i) q^{48} +(9.27114 + 40.6195i) q^{49} +(23.6923 + 14.8869i) q^{50} +(29.5838 + 23.5923i) q^{51} +(4.14023 - 1.99383i) q^{52} +(-34.9252 - 16.8191i) q^{53} +(16.8907 + 21.1802i) q^{54} +(35.2473 - 3.97142i) q^{55} +(-2.53019 - 7.23086i) q^{56} -66.7103i q^{57} +(-38.6255 + 13.7865i) q^{58} -103.236 q^{59} +(-15.3041 + 5.35514i) q^{60} +(-2.91173 - 25.8423i) q^{61} +(31.2479 - 24.9193i) q^{62} +(-4.23575 + 8.79562i) q^{63} +(-3.47107 - 7.20775i) q^{64} +(-3.27124 + 4.10201i) q^{65} +(41.4935 - 66.0366i) q^{66} +(19.0535 - 4.34884i) q^{67} +(2.38666 - 21.1822i) q^{68} +(-49.0933 - 78.1315i) q^{69} +(6.18479 + 6.18479i) q^{70} +(-121.745 - 27.7876i) q^{71} +(-3.36710 + 9.62263i) q^{72} +(45.1389 + 15.7948i) q^{73} +(17.1859 - 75.2963i) q^{74} +(-49.6703 + 49.6703i) q^{75} +(-31.8203 + 19.9940i) q^{76} +(-41.8075 - 4.71057i) q^{77} +(2.56703 + 11.2469i) q^{78} +(52.7837 + 33.1662i) q^{79} +(7.14121 + 5.69493i) q^{80} +(-90.5004 + 43.5827i) q^{81} +(71.1252 + 34.2521i) q^{82} +(6.65778 + 8.34859i) q^{83} +(19.1108 - 2.15327i) q^{84} +(8.03823 + 22.9719i) q^{85} +80.2782i q^{86} +(-12.1652 - 102.236i) q^{87} -43.9351 q^{88} +(48.2811 - 16.8943i) q^{89} +(-1.30324 - 11.5666i) q^{90} +(4.86547 - 3.88008i) q^{91} +(-22.5542 + 46.8342i) q^{92} +(43.5338 + 90.3988i) q^{93} +(16.5000 - 20.6903i) q^{94} +(22.8281 - 36.3306i) q^{95} +(19.5798 - 4.46896i) q^{96} +(-3.08778 + 27.4048i) q^{97} +(31.3484 + 49.8906i) q^{98} +(39.5897 + 39.5897i) q^{99} +O(q^{100})$
$\operatorname{Tr}(f)(q)$	$=$	$36 q + 6 q^{2} + 4 q^{3} - 28 q^{5} - 34 q^{7} - 12 q^{8} - 4 q^{10} + 68 q^{11} - 8 q^{12} + 20 q^{14} + 62 q^{15} + 24 q^{16} + 14 q^{17} - 14 q^{18} + 28 q^{19} - 76 q^{20} - 264 q^{21} - 84 q^{22} - 184 q^{23}+ \cdots + 588 q^{99}+O(q^{100})$ 36 * q + 6 * q^2 + 4 * q^3 - 28 * q^5 - 34 * q^7 - 12 * q^8 - 4 * q^10 + 68 * q^11 - 8 * q^12 + 20 * q^14 + 62 * q^15 + 24 * q^16 + 14 * q^17 - 14 * q^18 + 28 * q^19 - 76 * q^20 - 264 * q^21 - 84 * q^22 - 184 * q^23 - 40 * q^24 + 26 * q^25 + 30 * q^26 - 188 * q^27 + 32 * q^29 + 184 * q^30 + 46 * q^31 - 24 * q^32 + 322 * q^33 + 126 * q^34 + 196 * q^35 + 140 * q^36 + 348 * q^37 + 114 * q^39 + 76 * q^40 - 30 * q^41 - 308 * q^42 - 36 * q^43 - 24 * q^44 - 258 * q^45 - 40 * q^46 + 110 * q^47 - 16 * q^48 - 514 * q^49 + 86 * q^50 + 126 * q^51 - 88 * q^52 - 86 * q^53 + 208 * q^54 - 332 * q^55 - 40 * q^56 + 142 * q^58 + 40 * q^59 + 124 * q^60 - 18 * q^61 + 56 * q^62 + 644 * q^63 + 40 * q^65 - 36 * q^66 + 70 * q^67 - 28 * q^68 + 1128 * q^69 - 208 * q^70 - 854 * q^71 + 28 * q^72 + 482 * q^73 - 360 * q^74 - 1164 * q^75 - 84 * q^76 - 1002 * q^77 - 732 * q^78 - 218 * q^79 - 898 * q^81 - 220 * q^82 + 624 * q^83 + 52 * q^84 - 260 * q^85 - 202 * q^87 + 48 * q^88 - 16 * q^89 - 148 * q^90 + 1022 * q^91 + 392 * q^92 - 644 * q^93 - 80 * q^94 + 1090 * q^95 - 52 * q^97 + 906 * q^98 + 588 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/58\mathbb{Z}\right)^\times$ .

$n$	$31$
$\chi(n)$	$e\left(\frac{25}{28}\right)$

Coefficient data

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

Display

a_p

with

p

up to: 50 250 1000 (See

a_n

instead) (See

a_n

instead) (See

a_n

instead) Display

a_n

with

n

up to: 50 250 1000 (See only

a_p

) (See only

a_p

) (See only

a_p

)

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

$2$	1.33485	−	0.467085i	0.667426	−	0.233543i
$2$	1.33485	−	0.467085i	0.667426	−	0.233543i
$3$	0.397504	+	3.52794i	0.132501	+	1.17598i	0.867332	+	0.497730i	$0.165833\pi$
$3$	0.397504	+	3.52794i	0.132501	+	1.17598i	−0.734831	+	0.678250i	$0.762738\pi$
$4$	1.56366	−	1.24698i	0.390916	−	0.311745i
$5$	−0.990768	+	2.05735i	−0.198154	+	0.411470i	−0.976242	−	0.216685i	$-0.930476\pi$
$5$	−0.990768	+	2.05735i	−0.198154	+	0.411470i	0.778088	+	0.628155i	$0.216190\pi$
$6$	2.17846	+	4.52361i	0.363076	+	0.753936i
$7$	1.68871	−	2.11758i	0.241245	−	0.302511i	−0.646438	−	0.762966i	$-0.723742\pi$
$7$	1.68871	−	2.11758i	0.241245	−	0.302511i	0.887683	+	0.460455i	$0.152314\pi$
$8$	1.50481	−	2.39490i	0.188102	−	0.299362i
$9$	−3.51401	+	0.802050i	−0.390445	+	0.0891166i
$10$	−0.361571	+	3.20903i	−0.0361571	+	0.320903i
$11$	−8.26427	−	13.1525i	−0.751297	−	1.19568i	−0.975255	−	0.221084i	$-0.929040\pi$
$11$	−8.26427	−	13.1525i	−0.751297	−	1.19568i	0.223957	−	0.974599i	$-0.428102\pi$
$12$	5.02083	+	5.02083i	0.418403	+	0.418403i
$13$	2.24005	+	0.511276i	0.172311	+	0.0393289i	0.307806	−	0.951449i	$-0.400405\pi$
$13$	2.24005	+	0.511276i	0.172311	+	0.0393289i	−0.135495	+	0.990778i	$0.543262\pi$
$14$	1.26509	−	3.61543i	0.0903638	−	0.258245i
$15$	−7.65205	−	2.67757i	−0.510137	−	0.178505i
$16$	0.890084	−	3.89971i	0.0556302	−	0.243732i
$17$	7.53643	−	7.53643i	0.443319	−	0.443319i	−0.449807	−	0.893126i	$-0.648507\pi$
$17$	7.53643	−	7.53643i	0.443319	−	0.443319i	0.893126	+	0.449807i	$0.148507\pi$
$18$	−4.31606	+	2.71196i	−0.239781	+	0.150664i
$19$	−18.6721	−	2.10384i	−0.982742	−	0.110728i	−0.394053	−	0.919088i	$-0.628927\pi$
$19$	−18.6721	−	2.10384i	−0.982742	−	0.110728i	−0.588689	+	0.808359i	$0.700356\pi$
$20$	1.01625	+	4.45247i	0.0508124	+	0.222624i
$21$	8.14197	+	5.11594i	0.387713	+	0.243616i
$22$	−17.1749	−	13.6965i	−0.780679	−	0.622570i
$23$	−23.4171	+	11.2771i	−1.01814	+	0.490308i	−0.867054	−	0.498213i	$-0.833990\pi$
$23$	−23.4171	+	11.2771i	−1.01814	+	0.490308i	−0.151081	+	0.988521i	$0.548275\pi$
$24$	9.04723	+	4.35691i	0.376968	+	0.181538i
$25$	12.3362	+	15.4691i	0.493447	+	0.618763i
$26$	3.22894	−	0.363814i	0.124190	−	0.0139929i
$27$	6.32679	+	18.0809i	0.234325	+	0.669664i
$28$		−	5.41697i		−	0.193463i
$29$	−28.9994	+	0.180801i	−0.999981	+	0.00623453i
$29$	−28.9994	+	0.180801i	−0.999981	+	0.00623453i
$30$	−11.4650			−0.382167
$31$	26.6754	−	9.33412i	0.860496	−	0.301101i	0.136277	−	0.990671i	$-0.456486\pi$
$31$	26.6754	−	9.33412i	0.860496	−	0.301101i	0.724219	+	0.689570i	$0.242201\pi$
$32$	−0.633367	−	5.62129i	−0.0197927	−	0.175665i
$33$	43.1162	−	34.3840i	1.30655	−	1.04194i
$34$	6.53987	−	13.5802i	0.192349	−	0.399417i
$35$	2.68348	+	5.57231i	0.0766709	+	0.159209i
$36$	−4.49459	+	5.63603i	−0.124850	+	0.156556i
$37$	29.0552	−	46.2411i	0.785276	−	1.24976i	−0.178735	−	0.983897i	$-0.557201\pi$
$37$	29.0552	−	46.2411i	0.785276	−	1.24976i	0.964011	−	0.265862i	$-0.0856566\pi$
$38$	−25.9072	+	5.91314i	−0.681768	+	0.155609i
$39$	−0.913325	+	8.10599i	−0.0234186	+	0.207846i
$40$	3.43622	+	5.46872i	0.0859056	+	0.136718i
$41$	39.4715	+	39.4715i	0.962719	+	0.962719i	0.999330	−	0.0366106i	$-0.0116561\pi$
$41$	39.4715	+	39.4715i	0.962719	+	0.962719i	−0.0366106	+	0.999330i	$0.511656\pi$
$42$	13.2579	+	3.02603i	0.315664	+	0.0720483i
$43$	−18.7484	+	53.5798i	−0.436009	+	1.24604i	0.491052	+	0.871130i	$0.336613\pi$
$43$	−18.7484	+	53.5798i	−0.436009	+	1.24604i	−0.927061	+	0.374911i	$0.877673\pi$
$44$	−29.3235	−	10.2607i	−0.666442	−	0.233198i
$45$	1.83147	−	8.02420i	0.0406993	−	0.178315i
$46$	−25.9910	+	25.9910i	−0.565022	+	0.565022i
$47$	15.8446	−	9.95582i	0.337119	−	0.211826i	−0.352824	−	0.935690i	$-0.614779\pi$
$47$	15.8446	−	9.95582i	0.337119	−	0.211826i	0.689943	+	0.723864i	$0.257636\pi$
$48$	14.1118	+	1.59001i	0.293995	+	0.0331253i
$49$	9.27114	+	40.6195i	0.189207	+	0.828969i
$50$	23.6923	+	14.8869i	0.473847	+	0.297738i
$51$	29.5838	+	23.5923i	0.580075	+	0.462594i
$52$	4.14023	−	1.99383i	0.0796198	−	0.0383429i
$53$	−34.9252	−	16.8191i	−0.658966	−	0.317341i	0.0743474	−	0.997232i	$-0.476313\pi$
$53$	−34.9252	−	16.8191i	−0.658966	−	0.317341i	−0.733313	+	0.679891i	$0.762027\pi$
$54$	16.8907	+	21.1802i	0.312790	+	0.392226i
$55$	35.2473	−	3.97142i	0.640860	−	0.0722076i
$56$	−2.53019	−	7.23086i	−0.0451819	−	0.129122i
$57$		−	66.7103i		−	1.17036i
$58$	−38.6255	+	13.7865i	−0.665957	+	0.237699i
$59$	−103.236			−1.74975			−0.874877	−	0.484344i	$-0.839058\pi$
$59$	−103.236			−1.74975			−0.874877	+	0.484344i	$0.839058\pi$
$60$	−15.3041	+	5.35514i	−0.255068	+	0.0892523i
$61$	−2.91173	−	25.8423i	−0.0477332	−	0.423644i	−0.994740	−	0.102431i	$-0.967338\pi$
$61$	−2.91173	−	25.8423i	−0.0477332	−	0.423644i	0.947007	−	0.321213i	$-0.104091\pi$
$62$	31.2479	−	24.9193i	0.503998	−	0.401925i
$63$	−4.23575	+	8.79562i	−0.0672341	+	0.139613i
$64$	−3.47107	−	7.20775i	−0.0542355	−	0.112621i
$65$	−3.27124	+	4.10201i	−0.0503268	+	0.0631078i
$66$	41.4935	−	66.0366i	0.628690	−	1.00055i
$67$	19.0535	−	4.34884i	0.284381	−	0.0649081i	−0.0779511	−	0.996957i	$-0.524838\pi$
$67$	19.0535	−	4.34884i	0.284381	−	0.0649081i	0.362332	+	0.932049i	$0.381981\pi$
$68$	2.38666	−	21.1822i	0.0350980	−	0.311503i
$69$	−49.0933	−	78.1315i	−0.711497	−	1.13234i
$70$	6.18479	+	6.18479i	0.0883542	+	0.0883542i
$71$	−121.745	−	27.7876i	−1.71472	−	0.391375i	−0.751428	−	0.659815i	$-0.770634\pi$
$71$	−121.745	−	27.7876i	−1.71472	−	0.391375i	−0.963296	+	0.268441i	$0.913492\pi$
$72$	−3.36710	+	9.62263i	−0.0467653	+	0.133648i
$73$	45.1389	+	15.7948i	0.618341	+	0.216367i	0.621229	−	0.783629i	$-0.286634\pi$
$73$	45.1389	+	15.7948i	0.618341	+	0.216367i	−0.00288809	+	0.999996i	$0.500919\pi$
$74$	17.1859	−	75.2963i	0.232242	−	1.01752i
$75$	−49.6703	+	49.6703i	−0.662271	+	0.662271i
$76$	−31.8203	+	19.9940i	−0.418688	+	0.263079i
$77$	−41.8075	−	4.71057i	−0.542954	−	0.0611763i
$78$	2.56703	+	11.2469i	0.0329107	+	0.144191i
$79$	52.7837	+	33.1662i	0.668148	+	0.419825i	0.822945	−	0.568121i	$-0.192329\pi$
$79$	52.7837	+	33.1662i	0.668148	+	0.419825i	−0.154797	+	0.987946i	$0.549472\pi$
$80$	7.14121	+	5.69493i	0.0892651	+	0.0711866i
$81$	−90.5004	+	43.5827i	−1.11729	+	0.538058i
$82$	71.1252	+	34.2521i	0.867380	+	0.417708i
$83$	6.65778	+	8.34859i	0.0802142	+	0.100585i	0.820319	−	0.571906i	$-0.193796\pi$
$83$	6.65778	+	8.34859i	0.0802142	+	0.100585i	−0.740105	+	0.672491i	$0.765224\pi$
$84$	19.1108	−	2.15327i	0.227509	−	0.0256341i
$85$	8.03823	+	22.9719i	0.0945674	+	0.270258i
$86$			80.2782i			0.933468i
$87$	−12.1652	−	102.236i	−0.139830	−	1.17513i
$88$	−43.9351			−0.499263
$89$	48.2811	−	16.8943i	0.542484	−	0.189823i	−0.0451059	−	0.998982i	$-0.514363\pi$
$89$	48.2811	−	16.8943i	0.542484	−	0.189823i	0.587590	+	0.809159i	$0.300077\pi$
$90$	−1.30324	−	11.5666i	−0.0144804	−	0.128517i
$91$	4.86547	−	3.88008i	0.0534667	−	0.0426382i
$92$	−22.5542	+	46.8342i	−0.245154	+	0.509068i
$93$	43.5338	+	90.3988i	0.468105	+	0.972030i
$94$	16.5000	−	20.6903i	0.175532	−	0.220110i
$95$	22.8281	−	36.3306i	0.240295	−	0.382428i
$96$	19.5798	−	4.46896i	0.203956	−	0.0465517i
$97$	−3.08778	+	27.4048i	−0.0318328	+	0.282524i	0.967704	+	0.252089i	$0.0811177\pi$
$97$	−3.08778	+	27.4048i	−0.0318328	+	0.282524i	−0.999537	+	0.0304346i	$0.990311\pi$
$98$	31.3484	+	49.8906i	0.319881	+	0.509088i
$99$	39.5897	+	39.5897i	0.399896	+	0.399896i
$100$	38.5792	+	8.80546i	0.385792	+	0.0880546i
$101$	−4.34475	+	12.4166i	−0.0430173	+	0.122937i	−0.963388	−	0.268110i	$-0.913601\pi$
$101$	−4.34475	+	12.4166i	−0.0430173	+	0.122937i	0.920371	+	0.391046i	$0.127887\pi$
$102$	50.5097	+	17.6741i	0.495193	+	0.173275i
$103$	32.6468	−	143.035i	0.316960	−	1.38869i	−0.525895	−	0.850550i	$-0.676269\pi$
$103$	32.6468	−	143.035i	0.316960	−	1.38869i	0.842855	−	0.538141i	$-0.180873\pi$
$104$	4.59531	−	4.59531i	0.0441857	−	0.0441857i
$105$	−18.5921	+	11.6822i	−0.177067	+	0.111259i
$106$	−54.4759	−	6.13796i	−0.513924	−	0.0579053i
$107$	−14.4557	−	63.3344i	−0.135100	−	0.591910i	−0.996471	−	0.0839348i	$-0.973251\pi$
$107$	−14.4557	−	63.3344i	−0.135100	−	0.591910i	0.861372	−	0.507975i	$-0.169606\pi$
$108$	32.4395	+	20.3831i	0.300366	+	0.188732i
$109$	117.260	+	93.5118i	1.07578	+	0.857907i	0.990371	−	0.138439i	$-0.0442085\pi$
$109$	117.260	+	93.5118i	1.07578	+	0.857907i	0.0854101	+	0.996346i	$0.472780\pi$
$110$	45.1950	−	21.7648i	0.410864	−	0.197861i
$111$	174.685	+	84.1241i	1.57374	+	0.757874i
$112$	−6.75485	−	8.47032i	−0.0603112	−	0.0756278i
$113$	123.808	−	13.9498i	1.09565	−	0.123450i	0.454410	−	0.890792i	$-0.349850\pi$
$113$	123.808	−	13.9498i	1.09565	−	0.123450i	0.641237	+	0.767343i	$0.278421\pi$
$114$	−31.1594	−	89.0485i	−0.273328	−	0.781127i
$115$		−	59.3502i		−	0.516089i
$116$	−45.1199	+	36.4444i	−0.388965	+	0.314176i
$117$	−8.28161			−0.0707830
$118$	−137.804	+	48.2198i	−1.16783	+	0.408642i
$119$	−3.23212	−	28.6859i	−0.0271607	−	0.241058i
$120$	−17.9274	+	14.2966i	−0.149395	+	0.119139i
$121$	−52.1905	+	108.375i	−0.431326	+	0.895658i
$122$	−15.9573	−	33.1356i	−0.130797	−	0.271604i
$123$	−123.563	+	154.943i	−1.00458	+	1.25970i
$124$	30.0718	−	47.8591i	0.242515	−	0.385960i
$125$	−99.7035	+	22.7567i	−0.797628	+	0.182053i
$126$	−1.54580	+	13.7193i	−0.0122682	+	0.108883i
$127$	−91.4609	−	145.559i	−0.720165	−	1.14614i	−0.983408	−	0.181406i	$-0.941935\pi$
$127$	−91.4609	−	145.559i	−0.720165	−	1.14614i	0.263243	−	0.964729i	$-0.415208\pi$
$128$	−8.00000	−	8.00000i	−0.0625000	−	0.0625000i
$129$	−196.479	−	44.8450i	−1.52309	−	0.347636i
$130$	−2.45064	+	7.00352i	−0.0188511	+	0.0538733i
$131$	236.212	+	82.6541i	1.80314	+	0.630948i	0.999350	+	0.0360406i	$0.0114746\pi$
$131$	236.212	+	82.6541i	1.80314	+	0.630948i	0.803794	+	0.594907i	$0.202811\pi$
$132$	24.5430	−	107.530i	0.185932	−	0.814622i
$133$	−35.9869	+	35.9869i	−0.270578	+	0.270578i
$134$	23.4024	−	14.7047i	0.174645	−	0.109736i
$135$	−43.4672	−	4.89758i	−0.321979	−	0.0362783i
$136$	−6.70805	−	29.3899i	−0.0493239	−	0.216102i
$137$	−71.8274	−	45.1321i	−0.524288	−	0.329432i	0.243748	−	0.969839i	$-0.421623\pi$
$137$	−71.8274	−	45.1321i	−0.524288	−	0.329432i	−0.768036	+	0.640407i	$0.778766\pi$
$138$	−102.026	−	81.3633i	−0.739321	−	0.589589i
$139$	125.698	−	60.5329i	0.904301	−	0.435488i	0.0768606	−	0.997042i	$-0.475510\pi$
$139$	125.698	−	60.5329i	0.904301	−	0.435488i	0.827441	+	0.561553i	$0.189796\pi$
$140$	11.1446	+	5.36696i	0.0796044	+	0.0383355i
$141$	41.4218	+	51.9413i	0.293772	+	0.368378i
$142$	−175.491	+	19.7731i	−1.23585	+	0.139247i
$143$	−11.7878	−	33.6876i	−0.0824321	−	0.235577i
$144$			14.4175i			0.100122i
$145$	28.3597	−	59.8412i	0.195584	−	0.412698i
$146$	67.6313			0.463228
$147$	−139.618	+	48.8544i	−0.949782	+	0.332343i
$148$	−12.2292	−	108.537i	−0.0826294	−	0.733356i
$149$	164.312	−	131.034i	1.10276	−	0.879425i	0.109350	−	0.994003i	$-0.465123\pi$
$149$	164.312	−	131.034i	1.10276	−	0.879425i	0.993414	+	0.114578i	$0.0365517\pi$
$150$	−43.1023	+	89.5028i	−0.287348	+	0.596685i
$151$	23.0038	+	47.7678i	0.152343	+	0.316343i	0.963148	−	0.268974i	$-0.0866844\pi$
$151$	23.0038	+	47.7678i	0.152343	+	0.316343i	−0.810805	+	0.585317i	$0.800970\pi$
$152$	−33.1365	+	41.5519i	−0.218003	+	0.273368i
$153$	−20.4385	+	32.5277i	−0.133585	+	0.212599i
$154$	−58.0071	+	13.2397i	−0.376669	+	0.0859723i
$155$	−7.22555	+	64.1286i	−0.0466165	+	0.413733i
$156$	8.67987	+	13.8139i	0.0556402	+	0.0885508i
$157$	−141.983	−	141.983i	−0.904353	−	0.904353i	0.0914559	−	0.995809i	$-0.470848\pi$
$157$	−141.983	−	141.983i	−0.904353	−	0.904353i	−0.995809	+	0.0914559i	$0.970848\pi$
$158$	85.9499	+	19.6175i	0.543987	+	0.124161i
$159$	45.4538	−	129.900i	0.285873	−	0.816979i
$160$	12.1925	+	4.26633i	0.0762030	+	0.0266646i
$161$	−15.6647	+	68.6314i	−0.0972960	+	0.426282i
$162$	−100.448	+	100.448i	−0.620049	+	0.620049i
$163$	181.832	−	114.253i	1.11553	−	0.700937i	0.157480	−	0.987522i	$-0.449663\pi$
$163$	181.832	−	114.253i	1.11553	−	0.700937i	0.958055	+	0.286586i	$0.0925203\pi$
$164$	110.940	+	12.5000i	0.676465	+	0.0762193i
$165$	28.0219	+	122.772i	0.169830	+	0.744072i
$166$	12.7867	+	8.03439i	0.0770281	+	0.0483999i
$167$	110.632	+	88.2260i	0.662466	+	0.528299i	0.896003	−	0.444049i	$-0.146458\pi$
$167$	110.632	+	88.2260i	0.662466	+	0.528299i	−0.233536	+	0.972348i	$0.575030\pi$
$168$	24.5043	−	11.8006i	0.145859	−	0.0702419i
$169$	−147.507	−	71.0358i	−0.872824	−	0.420330i
$170$	21.4597	+	26.9096i	0.126234	+	0.158292i
$171$	67.3013	−	7.58303i	0.393575	−	0.0443452i
$172$	37.4968	+	107.160i	0.218004	+	0.623021i
$173$			60.6696i			0.350691i	0.984507	+	0.175346i	$0.0561043\pi$
$173$			60.6696i			0.350691i	−0.984507	+	0.175346i	$0.943896\pi$
$174$	−63.9919	−	130.788i	−0.367770	−	0.751657i
$175$	53.5892			0.306224
$176$	−58.6469	+	20.5214i	−0.333221	+	0.116599i
$177$	−41.0365	−	364.209i	−0.231845	−	2.05768i
$178$	56.5571	−	45.1028i	0.317736	−	0.253386i
$179$	−102.695	+	213.249i	−0.573716	+	1.19133i	0.389105	+	0.921194i	$0.372784\pi$
$179$	−102.695	+	213.249i	−0.573716	+	1.19133i	−0.962821	+	0.270141i	$0.912930\pi$
$180$	−7.14221	−	14.8309i	−0.0396789	−	0.0823941i
$181$	−192.088	+	240.871i	−1.06126	+	1.33078i	−0.120121	+	0.992759i	$0.538328\pi$
$181$	−192.088	+	240.871i	−1.06126	+	1.33078i	−0.941139	+	0.338019i	$0.890243\pi$
$182$	4.68235	−	7.45192i	0.0257272	−	0.0409446i
$183$	90.0127	−	20.5448i	0.491873	−	0.112267i
$184$	−8.23093	+	73.0515i	−0.0447333	+	0.397019i
$185$	66.3472	+	105.591i	0.358634	+	0.570762i
$186$	100.335	+	100.335i	0.539436	+	0.539436i
$187$	−161.406	−	36.8399i	−0.863134	−	0.197005i
$188$	12.3609	−	35.3254i	0.0657495	−	0.187901i
$189$	48.9719	+	17.1360i	0.259111	+	0.0906668i
$190$	13.5026	−	59.1587i	0.0710663	−	0.311362i
$191$	156.315	−	156.315i	0.818403	−	0.818403i	−0.167473	−	0.985877i	$-0.553561\pi$
$191$	156.315	−	156.315i	0.818403	−	0.818403i	0.985877	+	0.167473i	$0.0535609\pi$
$192$	24.0488	−	15.1108i	0.125254	−	0.0787023i
$193$	−137.733	−	15.5187i	−0.713640	−	0.0804079i	−0.252323	−	0.967643i	$-0.581194\pi$
$193$	−137.733	−	15.5187i	−0.713640	−	0.0804079i	−0.461317	+	0.887235i	$0.652623\pi$
$194$	8.67865	+	38.0237i	0.0447353	+	0.195998i
$195$	−15.7720	−	9.91019i	−0.0808819	−	0.0508215i
$196$	65.1486	+	51.9543i	0.332391	+	0.265073i
$197$	60.8446	−	29.3012i	0.308856	−	0.148737i	−0.273035	−	0.962004i	$-0.588027\pi$
$197$	60.8446	−	29.3012i	0.308856	−	0.148737i	0.581891	+	0.813267i	$0.302313\pi$
$198$	71.3382	+	34.3546i	0.360294	+	0.173508i
$199$	78.2591	+	98.1338i	0.393262	+	0.493135i	0.938564	−	0.345105i	$-0.112157\pi$
$199$	78.2591	+	98.1338i	0.393262	+	0.493135i	−0.545302	+	0.838239i	$0.683585\pi$
$200$	55.6105	−	6.26580i	0.278052	−	0.0313290i
$201$	22.9163	+	65.4910i	0.114011	+	0.325826i
$202$			18.6037i			0.0920974i
$203$	−48.5889	+	61.7139i	−0.239354	+	0.304010i
$204$	75.6783			0.370972
$205$	−120.314	+	42.0996i	−0.586897	+	0.205364i
$206$	−23.2309	−	206.180i	−0.112771	−	1.00087i
$207$	73.2431	−	58.4094i	0.353832	−	0.282171i
$208$	3.98766	−	8.28046i	0.0191714	−	0.0398099i
$209$	126.641	+	262.972i	0.605935	+	1.25824i
$210$	−19.3611	+	24.2781i	−0.0921958	+	0.115610i
$211$	−167.370	+	266.368i	−0.793224	+	1.26241i	0.167766	+	0.985827i	$0.446345\pi$
$211$	−167.370	+	266.368i	−0.793224	+	1.26241i	−0.960990	+	0.276582i	$0.910798\pi$
$212$	−75.5842	+	17.2516i	−0.356529	+	0.0813755i
$213$	49.6388	−	440.556i	0.233046	−	2.06834i
$214$	−48.8787	−	77.7900i	−0.228405	−	0.363505i
$215$	−91.6572	−	91.6572i	−0.426312	−	0.426312i
$216$	52.8226	+	12.0564i	0.244549	+	0.0558167i
$217$	25.2813	−	72.2499i	0.116504	−	0.332949i
$218$	200.203	+	70.0541i	0.918362	+	0.321349i
$219$	−37.7802	+	165.526i	−0.172512	+	0.755826i
$220$	50.1627	−	50.1627i	0.228012	−	0.228012i
$221$	20.7351	−	13.0288i	0.0938242	−	0.0589536i
$222$	272.472	+	30.7003i	1.22735	+	0.138289i
$223$	−28.1428	−	123.301i	−0.126201	−	0.552921i	−0.998009	−	0.0630739i	$-0.979910\pi$
$223$	−28.1428	−	123.301i	−0.126201	−	0.552921i	0.871808	−	0.489847i	$-0.162948\pi$
$224$	−12.9731	−	8.15154i	−0.0579156	−	0.0363908i
$225$	−55.7564	−	44.4642i	−0.247806	−	0.197619i
$226$	158.750	−	76.4499i	0.702433	−	0.338274i
$227$	107.051	+	51.5530i	0.471589	+	0.227106i	0.654556	−	0.756014i	$-0.272856\pi$
$227$	107.051	+	51.5530i	0.471589	+	0.227106i	−0.182966	+	0.983119i	$0.558570\pi$
$228$	−83.1864	−	104.312i	−0.364853	−	0.457511i
$229$	72.2330	−	8.13871i	0.315428	−	0.0355402i	0.0471687	−	0.998887i	$-0.484980\pi$
$229$	72.2330	−	8.13871i	0.315428	−	0.0355402i	0.268259	+	0.963347i	$0.413552\pi$
$230$	−27.7216	−	79.2238i	−0.120529	−	0.344451i
$231$		−	149.367i		−	0.646610i
$232$	−43.2058	+	69.7228i	−0.186232	+	0.300529i
$233$	116.308			0.499176			0.249588	−	0.968352i	$-0.419705\pi$
$233$	116.308			0.499176			0.249588	+	0.968352i	$0.419705\pi$
$234$	−11.0547	+	3.86822i	−0.0472424	+	0.0165308i
$235$	4.78430	+	42.4618i	0.0203587	+	0.180688i
$236$	−161.426	+	128.733i	−0.684007	+	0.545477i
$237$	−96.0267	+	199.401i	−0.405176	+	0.841356i
$238$	−17.7131	−	36.7817i	−0.0744249	−	0.154545i
$239$	−23.5682	+	29.5536i	−0.0986118	+	0.123655i	−0.828689	−	0.559710i	$-0.810913\pi$
$239$	−23.5682	+	29.5536i	−0.0986118	+	0.123655i	0.730077	+	0.683365i	$0.239484\pi$
$240$	−17.2527	+	27.4575i	−0.0718863	+	0.114406i
$241$	−214.124	+	48.8725i	−0.888483	+	0.202790i	−0.642319	−	0.766438i	$-0.722027\pi$
$241$	−214.124	+	48.8725i	−0.888483	+	0.202790i	−0.246164	+	0.969228i	$0.579170\pi$
$242$	−19.0464	+	169.042i	−0.0787042	+	0.698519i
$243$	−98.0075	−	155.978i	−0.403323	−	0.641885i
$244$	−36.7778	−	36.7778i	−0.150729	−	0.150729i
$245$	−92.7541	−	21.1705i	−0.378588	−	0.0864103i
$246$	−92.5668	+	264.541i	−0.376288	+	1.07537i
$247$	−40.7507	−	14.2593i	−0.164983	−	0.0577299i
$248$	17.7872	−	77.9309i	0.0717227	−	0.314238i
$249$	−26.8069	+	26.8069i	−0.107658	+	0.107658i
$250$	−122.460	+	76.9468i	−0.489841	+	0.307787i
$251$	−286.224	−	32.2497i	−1.14033	−	0.128485i	−0.478467	−	0.878106i	$-0.658807\pi$
$251$	−286.224	−	32.2497i	−1.14033	−	0.128485i	−0.661868	+	0.749621i	$0.730236\pi$
$252$	4.34468	+	19.0353i	0.0172408	+	0.0755368i
$253$	341.847	+	214.797i	1.35118	+	0.849000i
$254$	−190.075	−	151.580i	−0.748329	−	0.596772i
$255$	−77.8484	+	37.4898i	−0.305288	+	0.147019i
$256$	−14.4155	−	6.94214i	−0.0563106	−	0.0271177i
$257$	−175.185	−	219.675i	−0.681655	−	0.854768i	0.313850	−	0.949472i	$-0.398381\pi$
$257$	−175.185	−	219.675i	−0.681655	−	0.854768i	−0.995505	+	0.0947040i	$0.969810\pi$
$258$	−283.217	+	31.9109i	−1.09774	+	0.123686i
$259$	−48.8533	−	139.615i	−0.188623	−	0.539053i
$260$			10.4933i			0.0403590i
$261$	101.759	−	23.8943i	0.389882	−	0.0915491i
$262$	353.915			1.35082
$263$	−260.644	+	91.2034i	−0.991043	+	0.346781i	−0.776627	−	0.629961i	$-0.783071\pi$
$263$	−260.644	+	91.2034i	−0.991043	+	0.346781i	−0.214417	+	0.976742i	$0.568785\pi$
$264$	−17.4644	−	155.001i	−0.0661529	−	0.587123i
$265$	69.2055	−	55.1895i	0.261153	−	0.208262i
$266$	−31.2282	+	64.8461i	−0.117399	+	0.243782i
$267$	78.7939	+	163.617i	0.295108	+	0.612799i
$268$	24.3704	−	30.5595i	0.0909342	−	0.114028i
$269$	217.477	−	346.112i	0.808464	−	1.28666i	−0.146283	−	0.989243i	$-0.546731\pi$
$269$	217.477	−	346.112i	0.808464	−	1.28666i	0.954747	−	0.297420i	$-0.0961261\pi$
$270$	−60.3099	+	13.7653i	−0.223370	+	0.0509827i
$271$	32.8753	−	291.776i	0.121311	−	1.07666i	−0.774606	−	0.632444i	$-0.782052\pi$
$271$	32.8753	−	291.776i	0.121311	−	1.07666i	0.895917	−	0.444221i	$-0.146520\pi$
$272$	−22.6818	−	36.0979i	−0.0833891	−	0.132713i
$273$	15.6227	+	15.6227i	0.0572261	+	0.0572261i
$274$	−116.960	−	26.6952i	−0.426860	−	0.0974279i
$275$	101.508	−	290.092i	0.369119	−	1.05488i
$276$	−174.194	−	60.9530i	−0.631137	−	0.220844i
$277$	−1.98600	+	8.70123i	−0.00716967	+	0.0314124i	−0.978386	−	0.206786i	$-0.933700\pi$
$277$	−1.98600	+	8.70123i	−0.00716967	+	0.0314124i	0.971217	+	0.238198i	$0.0765568\pi$
$278$	139.514	−	139.514i	0.501849	−	0.501849i
$279$	−86.2511	+	54.1951i	−0.309144	+	0.194248i
$280$	17.3832	+	1.95862i	0.0620830	+	0.00699508i
$281$	35.9542	+	157.526i	0.127951	+	0.560589i	0.997742	+	0.0671685i	$0.0213965\pi$
$281$	35.9542	+	157.526i	0.127951	+	0.560589i	−0.869791	+	0.493421i	$0.835746\pi$
$282$	79.5530	+	49.9865i	0.282103	+	0.177257i
$283$	87.5998	+	69.8585i	0.309540	+	0.246850i	0.765921	−	0.642934i	$-0.222283\pi$
$283$	87.5998	+	69.8585i	0.309540	+	0.246850i	−0.456381	+	0.889784i	$0.650855\pi$
$284$	−225.019	+	108.364i	−0.792322	+	0.381562i
$285$	137.247	+	66.0945i	0.481567	+	0.231910i
$286$	−31.4699	−	39.4620i	−0.110035	−	0.137979i
$287$	150.240	−	16.9280i	0.523484	−	0.0589825i
$288$	6.73421	+	19.2453i	0.0233827	+	0.0668238i
$289$			175.405i			0.606936i
$290$	9.90517	−	93.1256i	0.0341557	−	0.321123i
$291$	−97.9100			−0.336461
$292$	90.2778	−	31.5896i	0.309171	−	0.108183i
$293$	27.4715	+	243.817i	0.0937595	+	0.832139i	0.949293	+	0.314392i	$0.101801\pi$
$293$	27.4715	+	243.817i	0.0937595	+	0.832139i	−0.855534	+	0.517747i	$0.826771\pi$
$294$	−163.550	+	130.427i	−0.556293	+	0.443629i
$295$	102.282	−	212.392i	0.346720	−	0.719972i
$296$	−67.0200	−	139.169i	−0.226419	−	0.470164i
$297$	185.523	−	232.639i	0.624657	−	0.783296i
$298$	158.128	−	251.659i	0.530631	−	0.844494i
$299$	−58.2211	+	13.2886i	−0.194719	+	0.0444434i
$300$	−15.7298	+	139.605i	−0.0524325	+	0.465352i
$301$	81.7989	+	130.182i	0.271757	+	0.432499i
$302$	53.0183	+	53.0183i	0.175557	+	0.175557i
$303$	−45.5320	−	10.3924i	−0.150271	−	0.0342983i
$304$	−24.8241	+	70.9432i	−0.0816582	+	0.233366i
$305$	56.0515	+	19.6133i	0.183776	+	0.0643058i
$306$	−12.0892	+	52.9661i	−0.0395071	+	0.173092i
$307$	−57.5756	+	57.5756i	−0.187543	+	0.187543i	−0.794633	−	0.607090i	$-0.792337\pi$
$307$	−57.5756	+	57.5756i	−0.187543	+	0.187543i	0.607090	+	0.794633i	$0.292337\pi$
$308$	−71.2468	+	44.7673i	−0.231321	+	0.145348i
$309$	517.597	+	58.3192i	1.67507	+	0.188735i
$310$	20.3085	+	88.9771i	0.0655111	+	0.287023i
$311$	129.424	+	81.3226i	0.416155	+	0.261488i	0.723795	−	0.690015i	$-0.242396\pi$
$311$	129.424	+	81.3226i	0.416155	+	0.261488i	−0.307640	+	0.951503i	$0.599539\pi$
$312$	18.0386	+	14.3853i	0.0578161	+	0.0461068i
$313$	−287.549	+	138.476i	−0.918687	+	0.442416i	−0.832602	−	0.553872i	$-0.813150\pi$
$313$	−287.549	+	138.476i	−0.918687	+	0.442416i	−0.0860845	+	0.996288i	$0.527436\pi$
$314$	−255.845	−	123.209i	−0.814794	−	0.392384i
$315$	−13.8990	−	17.4289i	−0.0441240	−	0.0553297i
$316$	123.893	−	13.9594i	0.392068	−	0.0441755i
$317$	59.9041	+	171.196i	0.188972	+	0.540051i	0.998921	−	0.0464499i	$-0.0147908\pi$
$317$	59.9041	+	171.196i	0.188972	+	0.540051i	−0.809949	+	0.586501i	$0.800505\pi$
$318$		−	194.628i		−	0.612037i
$319$	242.037	+	379.921i	0.758737	+	1.19098i
$320$	18.2679			0.0570872
$321$	217.694	−	76.1743i	0.678174	−	0.237303i
$322$	11.1467	+	98.9295i	0.0346170	+	0.307234i
$323$	−156.576	+	124.865i	−0.484756	+	0.386580i
$324$	−87.1654	+	181.001i	−0.269029	+	0.558644i
$325$	19.7246	+	40.9586i	0.0606912	+	0.126027i
$326$	189.353	−	237.442i	0.580838	−	0.728348i
$327$	−283.293	+	450.858i	−0.866339	+	1.37877i
$328$	153.927	−	35.1329i	0.469291	−	0.107113i
$329$	5.67474	−	50.3647i	0.0172484	−	0.153084i
$330$	94.7500	+	150.794i	0.287121	+	0.456951i
$331$	−9.52679	−	9.52679i	−0.0287819	−	0.0287819i	0.692569	−	0.721351i	$-0.256479\pi$
$331$	−9.52679	−	9.52679i	−0.0287819	−	0.0287819i	−0.721351	+	0.692569i	$0.756479\pi$
$332$	20.8210	+	4.75227i	0.0627140	+	0.0143141i
$333$	−65.0126	+	185.795i	−0.195233	+	0.557944i
$334$	188.886	+	66.0942i	0.565528	+	0.197887i
$335$	−9.93053	+	43.5085i	−0.0296434	+	0.129876i
$336$	27.1977	−	27.1977i	0.0809456	−	0.0809456i
$337$	477.344	−	299.935i	1.41645	−	0.890015i	0.416632	−	0.909075i	$-0.363210\pi$
$337$	477.344	−	299.935i	1.41645	−	0.890015i	0.999818	+	0.0190600i	$0.00606735\pi$
$338$	−230.080	−	25.9238i	−0.680711	−	0.0766977i
$339$	98.4284	+	431.243i	0.290349	+	1.27210i
$340$	41.2146	+	25.8969i	0.121219	+	0.0761672i
$341$	−343.220	−	273.709i	−1.00651	−	0.802664i
$342$	86.2954	−	41.5577i	0.252326	−	0.121514i
$343$	221.244	+	106.546i	0.645027	+	0.310628i
$344$	100.105	+	125.528i	0.291004	+	0.364907i
$345$	209.384	−	23.5919i	0.606910	−	0.0683823i
$346$	28.3379	+	80.9849i	0.0819013	+	0.234060i
$347$			152.996i			0.440911i	0.975397	+	0.220456i	$0.0707544\pi$
$347$			152.996i			0.440911i	−0.975397	+	0.220456i	$0.929246\pi$
$348$	−146.509	−	144.694i	−0.421003	−	0.415786i
$349$	−486.523			−1.39405			−0.697024	−	0.717048i	$-0.745493\pi$
$349$	−486.523			−1.39405			−0.697024	+	0.717048i	$0.745493\pi$
$350$	71.5337	−	25.0307i	0.204382	−	0.0715164i
$351$	4.92796	+	43.7368i	0.0140398	+	0.124606i
$352$	−68.6997	+	54.7862i	−0.195170	+	0.155643i
$353$	278.025	−	577.324i	0.787606	−	1.63548i	0.0155882	−	0.999878i	$-0.495038\pi$
$353$	278.025	−	577.324i	0.787606	−	1.63548i	0.772017	−	0.635601i	$-0.219248\pi$
$354$	−224.894	−	466.998i	−0.635294	−	1.31920i
$355$	177.790	−	222.942i	0.500818	−	0.628006i
$356$	54.4285	−	86.6225i	0.152889	−	0.243322i
$357$	99.9172	−	22.8055i	0.279880	−	0.0638808i
$358$	−37.4776	+	332.623i	−0.104686	+	0.929115i
$359$	−164.396	−	261.635i	−0.457928	−	0.728789i	0.535339	−	0.844638i	$-0.320184\pi$
$359$	−164.396	−	261.635i	−0.457928	−	0.728789i	−0.993267	+	0.115849i	$0.963041\pi$
$360$	−16.4611	−	16.4611i	−0.0457253	−	0.0457253i
$361$	−7.72794	−	1.76385i	−0.0214070	−	0.00488602i
$362$	−143.902	+	411.249i	−0.397520	+	1.13605i
$363$	−403.085	−	141.046i	−1.11043	−	0.388556i
$364$	2.76957	−	12.1343i	0.00760870	−	0.0333359i
$365$	−77.2176	+	77.2176i	−0.211555	+	0.211555i
$366$	110.557	−	69.4679i	0.302070	−	0.189803i
$367$	−244.250	−	27.5203i	−0.665531	−	0.0749873i	−0.227265	−	0.973833i	$-0.572978\pi$
$367$	−244.250	−	27.5203i	−0.665531	−	0.0749873i	−0.438265	+	0.898846i	$0.644407\pi$
$368$	23.1342	+	101.358i	0.0628646	+	0.275428i
$369$	−170.361	−	107.045i	−0.461683	−	0.290095i
$370$	137.884	+	109.959i	0.372659	+	0.297185i
$371$	−94.5943	+	45.5542i	−0.254971	+	0.122788i
$372$	180.798	+	87.0675i	0.486015	+	0.234053i
$373$	−413.144	−	518.066i	−1.10762	−	1.38892i	−0.912962	−	0.408046i	$-0.866210\pi$
$373$	−413.144	−	518.066i	−1.10762	−	1.38892i	−0.194662	−	0.980870i	$-0.562361\pi$
$374$	−232.661	+	26.2146i	−0.622087	+	0.0700924i
$375$	−119.917	−	342.702i	−0.319778	−	0.913873i
$376$		−	52.9278i		−	0.140765i
$377$	−65.0525	−	14.4217i	−0.172553	−	0.0382539i
$378$	73.3743			0.194112
$379$	56.1640	−	19.6526i	0.148190	−	0.0518539i	−0.255165	−	0.966898i	$-0.582130\pi$
$379$	56.1640	−	19.6526i	0.148190	−	0.0518539i	0.403355	+	0.915044i	$0.367844\pi$
$380$	−9.60819	−	85.2750i	−0.0252847	−	0.224408i
$381$	477.168	−	380.529i	1.25241	−	0.998764i
$382$	135.645	−	281.670i	0.355092	−	0.737356i
$383$	−8.47289	−	17.5941i	−0.0221224	−	0.0459377i	0.889615	−	0.456712i	$-0.150973\pi$
$383$	−8.47289	−	17.5941i	−0.0221224	−	0.0459377i	−0.911737	+	0.410774i	$0.865259\pi$
$384$	25.0435	−	31.4036i	0.0652175	−	0.0817801i
$385$	51.1128	−	81.3456i	0.132761	−	0.211287i
$386$	−191.101	+	43.6176i	−0.495081	+	0.112999i
$387$	22.9083	−	203.317i	0.0591946	−	0.525367i
$388$	29.3450	+	46.7023i	0.0756315	+	0.120367i
$389$	−425.674	−	425.674i	−1.09428	−	1.09428i	−0.995066	−	0.0992120i	$-0.968368\pi$
$389$	−425.674	−	425.674i	−1.09428	−	1.09428i	−0.0992120	−	0.995066i	$-0.531632\pi$
$390$	−25.6822	−	5.86179i	−0.0658517	−	0.0150302i
$391$	−91.4924	+	261.470i	−0.233996	+	0.668722i
$392$	111.231	+	38.9214i	0.283752	+	0.0992892i
$393$	−197.704	+	866.197i	−0.503063	+	2.20406i
$394$	67.5324	−	67.5324i	0.171402	−	0.171402i
$395$	−120.531	+	75.7346i	−0.305142	+	0.191733i
$396$	111.272	+	12.5374i	0.280991	+	0.0316601i
$397$	−19.8555	−	86.9928i	−0.0500139	−	0.219125i	0.943745	−	0.330674i	$-0.107276\pi$
$397$	−19.8555	−	86.9928i	−0.0500139	−	0.219125i	−0.993759	+	0.111549i	$0.964419\pi$
$398$	150.301	+	94.4405i	0.377641	+	0.237288i
$399$	−141.264	−	112.655i	−0.354046	−	0.282342i
$400$	71.3051	−	34.3387i	0.178263	−	0.0858469i
$401$	−482.803	−	232.506i	−1.20400	−	0.579815i	−0.279185	−	0.960237i	$-0.590064\pi$
$401$	−482.803	−	232.506i	−1.20400	−	0.579815i	−0.924813	+	0.380423i	$0.875779\pi$
$402$	61.1798	+	76.7170i	0.152188	+	0.190838i
$403$	64.5264	−	7.27038i	0.160115	−	0.0180406i
$404$	8.68950	+	24.8332i	0.0215087	+	0.0614683i
$405$		−	229.371i		−	0.566349i
$406$	−36.0333	+	105.074i	−0.0887520	+	0.258803i
$407$	−848.307			−2.08429
$408$	101.019	−	35.3482i	0.247596	−	0.0866377i
$409$	86.7017	+	769.499i	0.211985	+	1.88141i	0.426201	+	0.904628i	$0.359852\pi$
$409$	86.7017	+	769.499i	0.211985	+	1.88141i	−0.214217	+	0.976786i	$0.568720\pi$
$410$	−140.937	+	112.394i	−0.343749	+	0.274131i
$411$	130.672	−	271.343i	0.317936	−	0.660202i
$412$	−127.313	−	264.369i	−0.309013	−	0.641672i
$413$	−174.335	+	218.609i	−0.422119	+	0.529321i
$414$	70.4866	−	112.179i	0.170257	−	0.270963i
$415$	−23.7723	+	5.42587i	−0.0572827	+	0.0130744i
$416$	1.45526	−	12.9158i	0.00349822	−	0.0310475i
$417$	263.522	+	419.393i	0.631947	+	1.00574i
$418$	291.877	+	291.877i	0.698269	+	0.698269i
$419$	554.847	+	126.640i	1.32422	+	0.302244i	0.825442	−	0.564487i	$-0.190926\pi$
$419$	554.847	+	126.640i	1.32422	+	0.302244i	0.498775	+	0.866731i	$0.333783\pi$
$420$	−14.5043	+	41.4509i	−0.0345341	+	0.0986927i
$421$	−645.610	−	225.909i	−1.53352	−	0.536600i	−0.574146	−	0.818753i	$-0.694666\pi$
$421$	−645.610	−	225.909i	−1.53352	−	0.536600i	−0.959369	+	0.282153i	$0.908951\pi$
$422$	−98.9980	+	433.739i	−0.234592	+	1.02782i
$423$	−47.6930	+	47.6930i	−0.112749	+	0.112749i
$424$	−92.8359	+	58.3326i	−0.218952	+	0.137577i
$425$	209.552	+	23.6109i	0.493064	+	0.0555550i
$426$	−139.517	−	611.263i	−0.327504	−	1.43489i
$427$	−59.6402	−	37.4744i	−0.139673	−	0.0877621i
$428$	−101.580	−	81.0077i	−0.237337	−	0.189270i
$429$	114.162	−	54.9776i	0.266112	−	0.128153i
$430$	−165.161	−	79.5371i	−0.384094	−	0.184970i
$431$	392.936	+	492.726i	0.911684	+	1.14321i	0.989251	+	0.146228i	$0.0467133\pi$
$431$	392.936	+	492.726i	0.911684	+	1.14321i	−0.0775674	+	0.996987i	$0.524715\pi$
$432$	76.1418	−	8.57911i	0.176254	−	0.0198591i
$433$	179.497	+	512.973i	0.414543	+	1.18470i	0.942146	+	0.335204i	$0.108805\pi$
$433$	179.497	+	512.973i	0.414543	+	1.18470i	−0.527603	+	0.849491i	$0.676909\pi$
$434$		−	108.251i		−	0.249427i
$435$	222.389	+	76.2645i	0.511240	+	0.175321i
$436$	299.963			0.687988
$437$	460.972	−	161.301i	1.05486	−	0.369110i
$438$	26.8837	+	238.599i	0.0613783	+	0.544747i
$439$	−305.411	+	243.557i	−0.695697	+	0.554800i	−0.906229	−	0.422787i	$-0.861052\pi$
$439$	−305.411	+	243.557i	−0.695697	+	0.554800i	0.210532	+	0.977587i	$0.432480\pi$
$440$	43.5295	−	90.3900i	0.0989307	−	0.205432i
$441$	−65.1577	−	135.301i	−0.147750	−	0.306806i
$442$	21.5928	−	27.0765i	0.0488525	−	0.0612592i
$443$	−28.6695	+	45.6272i	−0.0647167	+	0.102996i	−0.877515	−	0.479549i	$-0.840800\pi$
$443$	−28.6695	+	45.6272i	−0.0647167	+	0.102996i	0.812798	+	0.582545i	$0.197943\pi$
$444$	378.050	−	86.2875i	0.851464	−	0.194341i
$445$	−13.0779	+	116.069i	−0.0293885	+	0.260830i
$446$	−95.1587	−	151.444i	−0.213360	−	0.339561i
$447$	527.596	+	527.596i	1.18030	+	1.18030i
$448$	−21.1246	−	4.82156i	−0.0471532	−	0.0107624i
$449$	184.766	−	528.032i	0.411506	−	1.17602i	−0.532597	−	0.846369i	$-0.678784\pi$
$449$	184.766	−	528.032i	0.411506	−	1.17602i	0.944104	−	0.329649i	$-0.106930\pi$
$450$	−95.1951	−	33.3102i	−0.211545	−	0.0740227i
$451$	192.946	−	845.352i	0.427818	−	1.87440i
$452$	176.199	−	176.199i	0.389821	−	0.389821i
$453$	−159.378	+	100.144i	−0.351828	+	0.221068i
$454$	166.977	+	18.8138i	0.367790	+	0.0414400i
$455$	3.16214	+	13.8542i	0.00694975	+	0.0304489i
$456$	−159.764	−	100.387i	−0.350361	−	0.220146i
$457$	−87.1724	−	69.5177i	−0.190749	−	0.152117i	0.523459	−	0.852051i	$-0.324641\pi$
$457$	−87.1724	−	69.5177i	−0.190749	−	0.152117i	−0.714208	+	0.699934i	$0.753213\pi$
$458$	92.6189	−	44.6029i	0.202225	−	0.0973863i
$459$	183.947	+	88.5842i	0.400756	+	0.192994i
$460$	−74.0085	−	92.8037i	−0.160888	−	0.201747i
$461$	−164.868	+	18.5762i	−0.357631	+	0.0402954i	−0.288952	−	0.957343i	$-0.593307\pi$
$461$	−164.868	+	18.5762i	−0.357631	+	0.0402954i	−0.0686788	+	0.997639i	$0.521878\pi$
$462$	−69.7670	−	199.383i	−0.151011	−	0.431564i
$463$			144.703i			0.312533i	0.987715	+	0.156266i	$0.0499458\pi$
$463$			144.703i			0.312533i	−0.987715	+	0.156266i	$0.950054\pi$
$464$	−25.1069	+	113.250i	−0.0541096	+	0.244074i
$465$	−229.114			−0.492718
$466$	155.254	−	54.3258i	0.333163	−	0.116579i
$467$	60.0796	+	533.221i	0.128650	+	1.14180i	0.877674	+	0.479259i	$0.159094\pi$
$467$	60.0796	+	533.221i	0.128650	+	1.14180i	−0.749024	+	0.662543i	$0.769477\pi$
$468$	−12.9497	+	10.3270i	−0.0276702	+	0.0220662i
$469$	22.9669	−	47.6913i	0.0489700	−	0.101687i
$470$	26.2196	+	54.4456i	0.0557864	+	0.115842i
$471$	444.470	−	557.348i	0.943674	−	1.18333i
$472$	−155.350	+	247.239i	−0.329132	+	0.523810i
$473$	859.651	−	196.210i	1.81744	−	0.414820i
$474$	−35.0440	+	311.024i	−0.0739325	+	0.656169i
$475$	−197.798	−	314.793i	−0.416416	−	0.662723i
$476$	−40.8246	−	40.8246i	−0.0857660	−	0.0857660i
$477$	136.217	+	31.0907i	0.285570	+	0.0651796i
$478$	−17.6560	+	50.4581i	−0.0369373	+	0.105561i
$479$	−0.319423	−	0.111771i	−0.000666853	−	0.000233342i	0.329946	−	0.944000i	$-0.392970\pi$
$479$	−0.319423	−	0.111771i	−0.000666853	−	0.000233342i	−0.330612	+	0.943767i	$0.607255\pi$
$480$	−10.2048	+	44.7102i	−0.0212600	+	0.0931463i
$481$	88.7270	−	88.7270i	0.184464	−	0.184464i
$482$	−262.997	+	165.252i	−0.545637	+	0.342846i
$483$	−248.354	−	27.9828i	−0.514191	−	0.0579354i
$484$	53.5327	+	234.542i	0.110605	+	0.484591i
$485$	−53.3221	−	33.5045i	−0.109942	−	0.0690814i
$486$	−203.681	−	162.430i	−0.419096	−	0.334218i
$487$	343.309	−	165.329i	0.704947	−	0.339485i	−0.0468291	−	0.998903i	$-0.514912\pi$
$487$	343.309	−	165.329i	0.704947	−	0.339485i	0.751776	+	0.659418i	$0.229197\pi$
$488$	−66.2713	−	31.9146i	−0.135802	−	0.0653987i
$489$	475.356	+	596.077i	0.972097	+	1.21897i
$490$	−133.702	+	15.0645i	−0.272860	+	0.0307440i
$491$	−147.599	−	421.814i	−0.300610	−	0.859093i	−0.990784	−	0.135450i	$-0.956752\pi$
$491$	−147.599	−	421.814i	−0.300610	−	0.859093i	0.690175	−	0.723643i	$-0.257534\pi$
$492$			396.359i			0.805608i
$493$	−217.190	+	219.915i	−0.440547	+	0.446075i
$494$	−61.0565			−0.123596
$495$	−120.674	+	42.2257i	−0.243786	+	0.0853044i
$496$	−12.6570	−	112.334i	−0.0255182	−	0.226481i
$497$	−264.436	+	210.880i	−0.532063	+	0.424306i
$498$	−23.2621	+	48.3043i	−0.0467111	+	0.0969965i
$499$	−32.6856	−	67.8724i	−0.0655023	−	0.136017i	0.865647	−	0.500654i	$-0.166907\pi$
$499$	−32.6856	−	67.8724i	−0.0655023	−	0.136017i	−0.931150	+	0.364637i	$0.881193\pi$
$500$	−127.526	+	159.912i	−0.255051	+	0.319824i
$501$	−267.279	+	425.373i	−0.533492	+	0.849048i
$502$	−397.130	+	90.6424i	−0.791096	+	0.180562i
$503$	−57.0083	+	505.963i	−0.113337	+	1.00589i	0.800367	+	0.599510i	$0.204638\pi$
$503$	−57.0083	+	505.963i	−0.113337	+	1.00589i	−0.913704	+	0.406381i	$0.866791\pi$
$504$	14.6906	+	23.3800i	0.0291480	+	0.0463888i
$505$	−21.2406	−	21.2406i	−0.0420607	−	0.0420607i
$506$	556.644	+	127.050i	1.10009	+	0.251088i
$507$	191.975	−	548.634i	0.378650	−	1.08212i
$508$	−324.524	−	113.556i	−0.638826	−	0.223535i
$509$	−38.9060	+	170.458i	−0.0764361	+	0.334888i	−0.998659	−	0.0517702i	$-0.983514\pi$
$509$	−38.9060	+	170.458i	−0.0764361	+	0.334888i	0.922223	+	0.386659i	$0.126371\pi$
$510$	−86.4052	+	86.4052i	−0.169422	+	0.169422i
$511$	109.673	−	68.9124i	0.214625	−	0.134858i
$512$	−22.4851	−	2.53347i	−0.0439163	−	0.00494818i
$513$	−80.0950	−	350.919i	−0.156131	−	0.684053i
$514$	−336.454	−	211.408i	−0.654579	−	0.411299i
$515$	261.928	+	208.881i	0.508598	+	0.405594i
$516$	−363.148	+	174.883i	−0.703775	+	0.338920i
$517$	−261.888	−	126.119i	−0.506553	−	0.243943i
$518$	−130.424	−	163.546i	−0.251784	−	0.315727i
$519$	−214.039	+	24.1164i	−0.412406	+	0.0464670i
$520$	4.90128	+	14.0070i	0.00942554	+	0.0269366i
$521$			421.266i			0.808571i	0.914633	+	0.404286i	$0.132480\pi$
$521$			421.266i			0.808571i	−0.914633	+	0.404286i	$0.867520\pi$
$522$	124.673	−	79.4256i	0.238837	−	0.152156i
$523$	992.586			1.89787			0.948935	−	0.315470i	$-0.102162\pi$
$523$	992.586			1.89787			0.948935	+	0.315470i	$0.102162\pi$
$524$	472.424	−	165.308i	0.901572	−	0.315474i
$525$	21.3019	+	189.060i	0.0405751	+	0.360114i
$526$	−305.322	+	243.486i	−0.580460	+	0.462902i
$527$	130.691	−	271.383i	0.247991	−	0.514958i
$528$	−95.7108	−	198.745i	−0.181270	−	0.376412i
$529$	91.3621	−	114.564i	0.172707	−	0.216568i
$530$	66.6009	−	105.995i	0.125662	−	0.199990i
$531$	362.771	−	82.8000i	0.683184	−	0.155932i
$532$	−11.3964	+	101.146i	−0.0214219	+	0.190124i
$533$	68.2371	+	108.599i	0.128025	+	0.203750i
$534$	181.602	+	181.602i	0.340078	+	0.340078i
$535$	144.623	+	33.0093i	0.270324	+	0.0616997i
$536$	18.2570	−	52.1754i	0.0340615	−	0.0973422i
$537$	−793.151	−	277.536i	−1.47700	−	0.516826i
$538$	128.635	−	563.589i	0.239099	−	1.04756i
$539$	457.629	−	457.629i	0.849034	−	0.849034i
$540$	−74.0752	+	46.5445i	−0.137176	+	0.0861936i
$541$	−306.380	−	34.5207i	−0.566321	−	0.0638091i	−0.175838	−	0.984419i	$-0.556263\pi$
$541$	−306.380	−	34.5207i	−0.566321	−	0.0638091i	−0.390483	+	0.920610i	$0.627692\pi$
$542$	−92.4007	−	404.834i	−0.170481	−	0.746926i
$543$	−926.134	−	581.928i	−1.70559	−	1.07169i
$544$	−47.1377	−	37.5911i	−0.0866502	−	0.0691013i
$545$	−308.564	+	148.597i	−0.566173	+	0.272655i
$546$	28.1512	+	13.5569i	0.0515589	+	0.0248295i
$547$	−89.9844	−	112.837i	−0.164505	−	0.206283i	0.692746	−	0.721182i	$-0.256401\pi$
$547$	−89.9844	−	112.837i	−0.164505	−	0.206283i	−0.857251	+	0.514899i	$0.827829\pi$
$548$	−168.593	+	18.9958i	−0.307651	+	0.0346639i
$549$	30.9586	+	88.4747i	0.0563910	+	0.161156i
$550$		−	434.643i		−	0.790260i
$551$	541.861	+	57.6342i	0.983413	+	0.104599i
$552$	−260.993			−0.472814
$553$	159.369	−	55.7655i	0.288189	−	0.100842i
$554$	1.41320	+	12.5425i	0.00255090	+	0.0226399i
$555$	−346.146	+	276.042i	−0.623686	+	0.497373i
$556$	121.066	−	251.396i	0.217744	−	0.452151i
$557$	256.794	+	533.239i	0.461031	+	0.957342i	0.993811	+	0.111087i	$0.0354333\pi$
$557$	256.794	+	533.239i	0.461031	+	0.957342i	−0.532779	+	0.846254i	$0.678852\pi$
$558$	−89.8187	+	112.629i	−0.160965	+	0.201844i
$559$	−69.3913	+	110.436i	−0.124135	+	0.197559i
$560$	24.1189	−	5.50499i	0.0430695	−	0.00983033i
$561$	65.8095	−	584.075i	0.117307	−	1.04113i
$562$	121.571	+	193.480i	0.216319	+	0.344270i
$563$	−93.5795	−	93.5795i	−0.166216	−	0.166216i	0.619098	−	0.785314i	$-0.287498\pi$
$563$	−93.5795	−	93.5795i	−0.166216	−	0.166216i	−0.785314	+	0.619098i	$0.787498\pi$
$564$	129.540	+	29.5665i	0.229680	+	0.0524230i
$565$	−93.9655	+	268.538i	−0.166311	+	0.475289i
$566$	149.563	+	52.3343i	0.264245	+	0.0924634i
$567$	−60.5394	+	265.240i	−0.106771	+	0.467796i
$568$	−249.753	+	249.753i	−0.439705	+	0.439705i
$569$	−305.734	+	192.106i	−0.537318	+	0.337620i	−0.773200	−	0.634162i	$-0.781345\pi$
$569$	−305.734	+	192.106i	−0.537318	+	0.337620i	0.235882	+	0.971782i	$0.424202\pi$
$570$	214.076	+	24.1205i	0.375572	+	0.0423167i
$571$	−200.488	−	878.394i	−0.351117	−	1.53834i	−0.774607	−	0.632443i	$-0.782052\pi$
$571$	−200.488	−	878.394i	−0.351117	−	1.53834i	0.423491	−	0.905901i	$-0.360805\pi$
$572$	−60.4399	−	37.9769i	−0.105664	−	0.0663931i
$573$	613.606	+	489.334i	1.07087	+	0.853987i
$574$	192.641	−	92.7712i	0.335612	−	0.161622i
$575$	−463.323	−	223.125i	−0.805780	−	0.388043i
$576$	17.9783	+	22.5441i	0.0312124	+	0.0391391i
$577$	−563.949	+	63.5418i	−0.977381	+	0.110124i	−0.586180	−	0.810181i	$-0.699369\pi$
$577$	−563.949	+	63.5418i	−0.977381	+	0.110124i	−0.391201	+	0.920305i	$0.627940\pi$
$578$	81.9288	+	234.139i	0.141745	+	0.405085i
$579$		−	492.081i		−	0.849881i
$580$	−30.2756	−	128.935i	−0.0521994	−	0.222302i
$581$	28.9219			0.0497795
$582$	−130.695	+	45.7323i	−0.224563	+	0.0785779i
$583$	67.4180	+	598.351i	0.115640	+	1.02633i
$584$	105.753	−	84.3348i	0.181083	−	0.144409i
$585$	8.20516	−	17.0382i	0.0140259	−	0.0291251i
$586$	150.554	+	312.628i	0.256917	+	0.533495i
$587$	−118.853	+	149.037i	−0.202476	+	0.253897i	−0.872694	−	0.488267i	$-0.837629\pi$
$587$	−118.853	+	149.037i	−0.202476	+	0.253897i	0.670218	+	0.742164i	$0.266201\pi$
$588$	−157.395	+	250.492i	−0.267678	+	0.426008i
$589$	−517.723	+	118.167i	−0.878986	+	0.200623i
$590$	37.3270	−	331.286i	0.0632661	−	0.561502i
$591$	127.559	+	203.009i	0.215836	+	0.343501i
$592$	−154.465	−	154.465i	−0.260921	−	0.260921i
$593$	686.503	+	156.690i	1.15768	+	0.264232i	0.757894	−	0.652377i	$-0.226228\pi$
$593$	686.503	+	156.690i	1.15768	+	0.264232i	0.399783	+	0.916610i	$0.369085\pi$
$594$	138.984	−	397.194i	0.233980	−	0.668676i
$595$	62.2192	+	21.7714i	0.104570	+	0.0365906i
$596$	93.5312	−	409.787i	0.156932	−	0.687562i
$597$	−315.102	+	315.102i	−0.527809	+	0.527809i
$598$	−71.5097	+	44.9325i	−0.119581	+	0.0751380i
$599$	132.025	+	14.8756i	0.220409	+	0.0248341i	0.221478	−	0.975165i	$-0.428912\pi$
$599$	132.025	+	14.8756i	0.220409	+	0.0248341i	−0.00106950	+	0.999999i	$0.500340\pi$
$600$	44.2107	+	193.700i	0.0736845	+	0.322833i
$601$	−582.397	−	365.945i	−0.969047	−	0.608893i	−0.0482089	−	0.998837i	$-0.515351\pi$
$601$	−582.397	−	365.945i	−0.969047	−	0.608893i	−0.920838	+	0.389945i	$0.872494\pi$
$602$	169.996	+	135.567i	0.282385	+	0.225194i
$603$	−63.4663	+	30.5637i	−0.105251	+	0.0506861i
$604$	95.5357	+	46.0076i	0.158172	+	0.0761714i
$605$	−171.256	−	214.748i	−0.283068	−	0.354956i
$606$	−65.6327	+	7.39503i	−0.108305	+	0.0122030i
$607$	154.543	+	441.658i	0.254601	+	0.727607i	0.998255	+	0.0590433i	$0.0188050\pi$
$607$	154.543	+	441.658i	0.254601	+	0.727607i	−0.743655	+	0.668564i	$0.766909\pi$
$608$			106.294i			0.174825i
$609$	−237.037	−	146.887i	−0.389224	−	0.241194i
$610$	83.9816			0.137675
$611$	40.5828	−	14.2005i	0.0664203	−	0.0232415i
$612$	8.60243	+	76.3487i	0.0140563	+	0.124753i
$613$	493.014	−	393.166i	0.804265	−	0.641380i	−0.132562	−	0.991175i	$-0.542320\pi$
$613$	493.014	−	393.166i	0.804265	−	0.641380i	0.936826	+	0.349795i	$0.113749\pi$
$614$	−49.9622	+	103.748i	−0.0813717	+	0.168970i
$615$	−196.350	−	407.725i	−0.319269	−	0.662968i
$616$	−74.1938	+	93.0361i	−0.120445	+	0.151033i
$617$	−39.3446	+	62.6166i	−0.0637676	+	0.101486i	−0.877086	−	0.480333i	$-0.840516\pi$
$617$	−39.3446	+	62.6166i	−0.0637676	+	0.101486i	0.813319	+	0.581819i	$0.197659\pi$
$618$	718.156	−	163.914i	1.16206	−	0.265234i
$619$	−49.2840	+	437.407i	−0.0796187	+	0.706636i	0.888970	+	0.457966i	$0.151422\pi$
$619$	−49.2840	+	437.407i	−0.0796187	+	0.706636i	−0.968588	+	0.248670i	$0.920007\pi$
$620$	68.6687	+	109.286i	0.110756	+	0.176267i
$621$	−352.055	−	352.055i	−0.566916	−	0.566916i
$622$	210.747	+	48.1016i	0.338821	+	0.0773337i
$623$	45.7579	−	130.769i	0.0734477	−	0.209902i
$624$	30.7981	+	10.7767i	0.0493559	+	0.0172704i
$625$	−58.1036	+	254.569i	−0.0929658	+	0.407310i
$626$	−319.155	+	319.155i	−0.509833	+	0.509833i
$627$	−877.409	+	551.312i	−1.39938	+	0.879286i
$628$	−399.065	−	44.9638i	−0.635453	−	0.0715984i
$629$	−129.520	−	567.465i	−0.205914	−	0.902170i
$630$	−26.6939	−	16.7729i	−0.0423713	−	0.0266237i
$631$	300.982	+	240.025i	0.476992	+	0.380389i	0.832268	−	0.554373i	$-0.187042\pi$
$631$	300.982	+	240.025i	0.476992	+	0.380389i	−0.355276	+	0.934761i	$0.615613\pi$
$632$	158.859	−	76.5026i	0.251360	−	0.121048i
$633$	−1006.26	−	484.590i	−1.58967	−	0.765545i
$634$	159.926	+	200.541i	0.252250	+	0.316311i
$635$	390.083	−	43.9518i	0.614304	−	0.0692155i
$636$	−90.9077	−	259.799i	−0.142937	−	0.408489i
$637$			95.7297i			0.150282i
$638$	500.540	+	394.087i	0.784545	+	0.617691i
$639$	450.101			0.704384
$640$	24.3850	−	8.53267i	0.0381015	−	0.0133323i
$641$	−58.6713	−	520.722i	−0.0915309	−	0.812359i	−0.952673	−	0.303996i	$-0.901679\pi$
$641$	−58.6713	−	520.722i	−0.0915309	−	0.812359i	0.861143	−	0.508364i	$-0.169749\pi$
$642$	255.009	−	203.363i	0.397211	−	0.316765i
$643$	306.048	−	635.516i	0.475969	−	0.988361i	−0.515362	−	0.856973i	$-0.672342\pi$
$643$	306.048	−	635.516i	0.475969	−	0.988361i	0.991331	−	0.131388i	$-0.0419433\pi$
$644$	61.0876	+	126.850i	0.0948566	+	0.196972i
$645$	286.927	−	359.795i	0.444848	−	0.557822i
$646$	−150.684	+	239.811i	−0.233256	+	0.371225i
$647$	438.854	−	100.166i	0.678291	−	0.154815i	0.130522	−	0.991445i	$-0.458335\pi$
$647$	438.854	−	100.166i	0.678291	−	0.154815i	0.547768	+	0.836630i	$0.315477\pi$
$648$	−31.8102	+	282.323i	−0.0490898	+	0.435684i
$649$	853.167	+	1357.81i	1.31459	+	2.09215i
$650$	45.4607	+	45.4607i	0.0699395	+	0.0699395i
$651$	264.943	+	60.4715i	0.406978	+	0.0928901i
$652$	141.853	−	405.394i	0.217566	−	0.621769i
$653$	1184.83	+	414.589i	1.81444	+	0.634900i	0.998378	+	0.0569337i	$0.0181324\pi$
$653$	1184.83	+	414.589i	1.81444	+	0.634900i	0.816061	+	0.577966i	$0.196153\pi$
$654$	−167.565	+	734.151i	−0.256216	+	1.12256i
$655$	−404.080	+	404.080i	−0.616916	+	0.616916i
$656$	189.060	−	118.794i	0.288202	−	0.181089i
$657$	−171.287	−	19.2994i	−0.260710	−	0.0293750i
$658$	−15.9497	−	69.8800i	−0.0242396	−	0.106201i
$659$	−606.273	−	380.946i	−0.919989	−	0.578067i	−0.0133205	−	0.999911i	$-0.504240\pi$
$659$	−606.273	−	380.946i	−0.919989	−	0.578067i	−0.906668	+	0.421844i	$0.861383\pi$
$660$	196.911	+	157.031i	0.298350	+	0.237926i
$661$	576.555	−	277.654i	0.872247	−	0.420052i	0.0564601	−	0.998405i	$-0.482019\pi$
$661$	576.555	−	277.654i	0.872247	−	0.420052i	0.815787	+	0.578353i	$0.196304\pi$
$662$	−17.1667	−	8.26704i	−0.0259316	−	0.0124880i
$663$	54.2070	+	67.9734i	0.0817601	+	0.102524i
$664$	30.0127	−	3.38162i	0.0451999	−	0.00509281i
$665$	−38.3830	−	109.692i	−0.0577188	−	0.164951i
$666$			278.376i			0.417982i
$667$	677.044	−	331.263i	1.01506	−	0.496646i
$668$	283.007			0.423663
$669$	423.814	−	148.299i	0.633503	−	0.221672i
$670$	7.06638	+	62.7158i	0.0105468	+	0.0936057i
$671$	−315.828	+	251.864i	−0.470682	+	0.375357i
$672$	23.6013	−	49.0086i	0.0351210	−	0.0729294i
$673$	−434.835	−	902.944i	−0.646115	−	1.34167i	−0.924493	−	0.381199i	$-0.875511\pi$
$673$	−434.835	−	902.944i	−0.646115	−	1.34167i	0.278378	−	0.960472i	$-0.410203\pi$
$674$	497.089	−	623.329i	0.737520	−	0.924821i
$675$	−201.647	+	320.919i	−0.298736	+	0.475435i
$676$	−319.232	+	72.8626i	−0.472237	+	0.107785i
$677$	−42.1922	+	374.466i	−0.0623223	+	0.553126i	0.923290	+	0.384104i	$0.125489\pi$
$677$	−42.1922	+	374.466i	−0.0623223	+	0.553126i	−0.985612	+	0.169022i	$0.945939\pi$
$678$	332.815	+	529.671i	0.490877	+	0.781226i
$679$	52.8175	+	52.8175i	0.0777872	+	0.0777872i
$680$	67.1115	+	15.3178i	0.0986933	+	0.0225261i
$681$	−139.323	+	398.161i	−0.204585	+	0.584672i
$682$	−585.993	−	205.048i	−0.859227	−	0.300657i
$683$	29.0381	−	127.224i	0.0425156	−	0.186273i	−0.949211	−	0.314640i	$-0.898116\pi$
$683$	29.0381	−	127.224i	0.0425156	−	0.186273i	0.991727	+	0.128367i	$0.0409735\pi$
$684$	95.7806	−	95.7806i	0.140030	−	0.140030i
$685$	164.017	−	103.059i	0.239441	−	0.150451i
$686$	345.094	+	38.8828i	0.503053	+	0.0566804i
$687$	57.4257	+	251.599i	0.0835891	+	0.366228i
$688$	192.258	+	120.804i	0.279445	+	0.175587i
$689$	−69.6348	−	55.5319i	−0.101067	−	0.0805979i
$690$	268.477	−	129.292i	0.389098	−	0.187380i
$691$	145.255	+	69.9511i	0.210210	+	0.101232i	0.536026	−	0.844201i	$-0.319925\pi$
$691$	145.255	+	69.9511i	0.210210	+	0.101232i	−0.325816	+	0.945433i	$0.605639\pi$
$692$	75.6537	+	94.8668i	0.109326	+	0.137091i
$693$	150.690	−	16.9787i	0.217446	−	0.0245003i
$694$	71.4622	+	204.227i	0.102972	+	0.294276i
$695$			318.579i			0.458387i
$696$	−263.152	−	124.712i	−0.378092	−	0.179184i
$697$	594.948			0.853584
$698$	−649.436	+	227.248i	−0.930424	+	0.325570i
$699$	46.2329	+	410.328i	0.0661415	+	0.587022i
$700$	83.7955	−	66.8247i	0.119708	−	0.0954639i
$701$	−163.094	+	338.669i	−0.232660	+	0.483123i	−0.984312	−	0.176437i	$-0.943543\pi$
$701$	−163.094	+	338.669i	−0.232660	+	0.483123i	0.751652	+	0.659560i	$0.229257\pi$
$702$	27.0069	+	56.0805i	0.0384714	+	0.0798867i
$703$	−639.806	+	802.291i	−0.910107	+	1.14124i
$704$	−66.1142	+	105.220i	−0.0939122	+	0.149460i
$705$	−147.901	+	33.7574i	−0.209789	+	0.0478829i
$706$	101.462	−	900.504i	0.143715	−	1.27550i
$707$	18.9561	+	30.1684i	0.0268120	+	0.0426710i
$708$	−518.328	−	518.328i	−0.732102	−	0.732102i
$709$	−520.222	−	118.737i	−0.733740	−	0.167471i	−0.160705	−	0.987002i	$-0.551377\pi$
$709$	−520.222	−	118.737i	−0.733740	−	0.167471i	−0.573035	+	0.819531i	$0.694234\pi$
$710$	133.191	−	380.638i	0.187593	−	0.536110i
$711$	−212.083	−	74.2112i	−0.298289	−	0.104376i
$712$	32.1940	−	141.051i	0.0452163	−	0.198105i
$713$	−519.398	+	519.398i	−0.728469	+	0.728469i
$714$	122.723	−	77.1118i	0.171880	−	0.108000i
$715$	80.9861	+	9.12495i	0.113267	+	0.0127622i
$716$	105.336	+	461.508i	0.147118	+	0.644564i
$717$	−113.632	−	71.3996i	−0.158482	−	0.0995811i
$718$	−341.651	−	272.457i	−0.475837	−	0.379467i
$719$	−579.600	+	279.120i	−0.806119	+	0.388206i	−0.791105	−	0.611681i	$-0.790494\pi$
$719$	−579.600	+	279.120i	−0.806119	+	0.388206i	−0.0150144	+	0.999887i	$0.504779\pi$
$720$	−29.6619	−	14.2844i	−0.0411971	−	0.0198395i
$721$	−247.757	−	310.678i	−0.343630	−	0.430898i
$722$	−11.1395	+	1.25512i	−0.0154287	+	0.00173840i
$723$	−257.535	−	735.991i	−0.356203	−	1.01797i
$724$			616.171i			0.851065i
$725$	−360.539	−	446.364i	−0.497295	−	0.615674i
$726$	−603.940			−0.831873
$727$	913.087	−	319.503i	1.25597	−	0.439481i	0.381409	−	0.924406i	$-0.375439\pi$
$727$	913.087	−	319.503i	1.25597	−	0.439481i	0.874556	+	0.484925i	$0.161153\pi$
$728$	−1.97077	−	17.4911i	−0.00270710	−	0.0240262i
$729$	−195.477	+	155.887i	−0.268144	+	0.213837i
$730$	−67.0069	+	139.141i	−0.0917903	+	0.190605i
$731$	262.504	+	545.096i	0.359103	+	0.745686i
$732$	115.131	−	144.369i	0.157282	−	0.197226i
$733$	7.42301	−	11.8137i	0.0101269	−	0.0161169i	−0.841622	−	0.540066i	$-0.818399\pi$
$733$	7.42301	−	11.8137i	0.0101269	−	0.0161169i	0.851749	+	0.523950i	$0.175542\pi$
$734$	−338.892	+	77.3498i	−0.461705	+	0.105381i
$735$	37.8183	−	335.646i	0.0514534	−	0.456662i
$736$	78.2233	+	124.492i	0.106282	+	0.169146i
$737$	−214.662	−	214.662i	−0.291264	−	0.291264i
$738$	−277.406	−	63.3162i	−0.375889	−	0.0857943i
$739$	227.281	−	649.532i	0.307552	−	0.878933i	−0.681559	−	0.731763i	$-0.738698\pi$
$739$	227.281	−	649.532i	0.307552	−	0.878933i	0.989111	−	0.147170i	$-0.0470166\pi$
$740$	235.414	+	82.3751i	0.318128	+	0.111318i
$741$	34.1074	−	149.434i	0.0460289	−	0.201666i
$742$	−104.992	+	104.992i	−0.141498	+	0.141498i
$743$	−417.535	+	262.355i	−0.561958	+	0.353102i	−0.782864	−	0.622193i	$-0.786242\pi$
$743$	−417.535	+	262.355i	−0.561958	+	0.353102i	0.220905	+	0.975295i	$0.429099\pi$
$744$	282.006	+	31.7745i	0.379041	+	0.0427076i
$745$	106.789	+	467.872i	0.143341	+	0.628016i
$746$	−793.467	−	498.568i	−1.06363	−	0.668322i
$747$	−30.0915	−	23.9972i	−0.0402831	−	0.0321247i
$748$	−298.323	+	143.665i	−0.398828	+	0.192065i
$749$	−158.527	−	76.3426i	−0.211652	−	0.101926i
$750$	−320.142	−	401.446i	−0.426856	−	0.535261i
$751$	−799.783	+	90.1139i	−1.06496	+	0.119992i	−0.627012	−	0.779010i	$-0.715722\pi$
$751$	−799.783	+	90.1139i	−1.06496	+	0.119992i	−0.437945	+	0.899002i	$0.644294\pi$
$752$	−24.7218	−	70.6508i	−0.0328747	−	0.0939506i
$753$		−	1022.60i		−	1.35804i
$754$	−93.5717	+	11.1342i	−0.124100	+	0.0147669i
$755$	−121.067			−0.160353
$756$	97.9438	−	34.2720i	0.129555	−	0.0453334i
$757$	−122.491	−	1087.14i	−0.161811	−	1.43611i	−0.767827	−	0.640657i	$-0.778662\pi$
$757$	−122.491	−	1087.14i	−0.161811	−	1.43611i	0.606016	−	0.795452i	$-0.292767\pi$
$758$	65.7912	−	52.4668i	0.0867958	−	0.0692174i
$759$	−621.905	+	1291.40i	−0.819375	+	1.70145i
$760$	−52.6562	−	109.342i	−0.0692845	−	0.143871i
$761$	242.201	−	303.710i	0.318266	−	0.399093i	−0.596804	−	0.802387i	$-0.703563\pi$
$761$	242.201	−	303.710i	0.318266	−	0.399093i	0.915071	+	0.403293i	$0.132135\pi$
$762$	459.210	−	730.829i	0.602638	−	0.959093i
$763$	396.038	−	90.3930i	0.519053	−	0.118470i
$764$	49.5024	−	439.346i	0.0647937	−	0.575060i
$765$	−46.6710	−	74.2765i	−0.0610079	−	0.0970935i
$766$	−19.5280	−	19.5280i	−0.0254935	−	0.0254935i
$767$	−231.252	−	52.7819i	−0.301503	−	0.0688160i
$768$	18.7612	−	53.6166i	0.0244287	−	0.0698132i
$769$	33.0267	+	11.5566i	0.0429476	+	0.0150280i	0.351667	−	0.936125i	$-0.385615\pi$
$769$	33.0267	+	11.5566i	0.0429476	+	0.0150280i	−0.308720	+	0.951153i	$0.599901\pi$
$770$	30.2328	−	132.458i	0.0392633	−	0.172024i
$771$	705.365	−	705.365i	0.914871	−	0.914871i
$772$	−234.719	+	147.484i	−0.304040	+	0.191041i
$773$	1128.42	+	127.143i	1.45980	+	0.164480i	0.805876	−	0.592084i	$-0.201695\pi$
$773$	1128.42	+	127.143i	1.45980	+	0.164480i	0.653920	+	0.756564i	$0.273123\pi$
$774$	−64.3871	−	282.098i	−0.0831875	−	0.364468i
$775$	473.462	+	297.496i	0.610919	+	0.383866i
$776$	60.9852	+	48.6341i	0.0785892	+	0.0626728i
$777$	473.133	−	227.849i	0.608923	−	0.293242i
$778$	−767.039	−	369.386i	−0.985911	−	0.474790i
$779$	−653.974	−	820.057i	−0.839504	−	1.05270i
$780$	−37.0198	+	4.17114i	−0.0474613	+	0.00534761i
$781$	640.660	+	1830.90i	0.820308	+	2.34430i
$782$			391.759i			0.500971i
$783$	−186.742	−	523.193i	−0.238496	−	0.668190i
$784$	166.656			0.212572
$785$	432.783	−	151.437i	0.551315	−	0.192914i
$786$	140.682	+	1248.59i	0.178985	+	1.58854i
$787$	−844.709	+	673.633i	−1.07333	+	0.855950i	−0.990070	−	0.140578i	$-0.955104\pi$
$787$	−844.709	+	673.633i	−1.07333	+	0.855950i	−0.0832578	+	0.996528i	$0.526533\pi$
$788$	58.6025	−	121.689i	0.0743686	−	0.154428i
$789$	−425.367	−	883.285i	−0.539122	−	1.11950i
$790$	−125.517	+	157.393i	−0.158882	+	0.199231i
$791$	179.537	−	285.731i	0.226974	−	0.361228i
$792$	154.388	−	35.2381i	0.194935	−	0.0444926i
$793$	6.69014	−	59.3767i	0.00843650	−	0.0748760i
$794$	−67.1373	−	106.848i	−0.0845557	−	0.134570i
$795$	222.215	+	222.215i	0.279516	+	0.279516i
$796$	244.742	+	55.8607i	0.307465	+	0.0701768i
$797$	−282.632	+	807.715i	−0.354620	+	1.01344i	0.619024	+	0.785372i	$0.287528\pi$
$797$	−282.632	+	807.715i	−0.354620	+	1.01344i	−0.973644	+	0.228073i	$0.926758\pi$
$798$	−241.187	−	84.3948i	−0.302239	−	0.105758i
$799$	44.3803	−	194.443i	0.0555448	−	0.243358i
$800$	79.1427	−	79.1427i	0.0989284	−	0.0989284i
$801$	−156.110	+	98.0905i	−0.194894	+	0.122460i
$802$	−753.071	−	84.8507i	−0.938991	−	0.105799i
$803$	−165.299	−	724.222i	−0.205852	−	0.901896i
$804$	117.499	+	73.8297i	0.146143	+	0.0918280i
$805$	−125.679	−	100.225i	−0.156123	−	0.124504i
$806$	82.7374	−	39.8442i	0.102652	−	0.0494345i
$807$	1307.51	+	629.664i	1.62021	+	0.780253i
$808$	23.1984	+	29.0899i	0.0287109	+	0.0360023i
$809$	−143.830	+	16.2057i	−0.177787	+	0.0200318i	−0.200409	−	0.979712i	$-0.564227\pi$
$809$	−143.830	+	16.2057i	−0.177787	+	0.0200318i	0.0226222	+	0.999744i	$0.492799\pi$
$810$	−107.136	−	306.177i	−0.132267	−	0.377996i
$811$			999.043i			1.23187i	0.787799	+	0.615933i	$0.211221\pi$
$811$			999.043i			1.23187i	−0.787799	+	0.615933i	$0.788779\pi$
$812$	0.979396	+	157.089i	0.00120615	+	0.193460i
$813$	1042.44			1.28221
$814$	−1132.36	+	396.232i	−1.39111	+	0.486771i
$815$	54.9044	+	487.290i	0.0673674	+	0.597902i
$816$	118.335	−	94.3693i	0.145019	−	0.115649i
$817$	462.795	−	961.004i	0.566456	−	1.17626i
$818$	475.155	+	986.670i	0.580874	+	1.20620i
$819$	−13.9853	+	17.5370i	−0.0170760	+	0.0214127i
$820$	−135.633	+	215.858i	−0.165406	+	0.263242i
$821$	−651.111	+	148.612i	−0.793070	+	0.181013i	−0.599818	−	0.800136i	$-0.704761\pi$
$821$	−651.111	+	148.612i	−0.793070	+	0.181013i	−0.193252	+	0.981149i	$0.561903\pi$
$822$	47.6874	−	423.238i	0.0580139	−	0.514888i
$823$	−517.138	−	823.021i	−0.628358	−	1.00003i	−0.997501	−	0.0706529i	$-0.977492\pi$
$823$	−517.138	−	823.021i	−0.628358	−	1.00003i	0.369143	−	0.929372i	$-0.379651\pi$
$824$	−293.427	−	293.427i	−0.356101	−	0.356101i
$825$	1063.78	+	242.800i	1.28943	+	0.294304i
$826$	−130.603	+	373.241i	−0.158115	+	0.451865i
$827$	149.197	+	52.2063i	0.180407	+	0.0631273i	0.418971	−	0.908000i	$-0.362391\pi$
$827$	149.197	+	52.2063i	0.180407	+	0.0631273i	−0.238564	+	0.971127i	$0.576677\pi$
$828$	41.6922	−	182.665i	0.0503529	−	0.220610i
$829$	293.612	−	293.612i	0.354176	−	0.354176i	−0.507485	−	0.861661i	$-0.669425\pi$
$829$	293.612	−	293.612i	0.354176	−	0.354176i	0.861661	+	0.507485i	$0.169425\pi$
$830$	−29.1982	+	18.3464i	−0.0351785	+	0.0221041i
$831$	−31.4869	−	3.54772i	−0.0378903	−	0.00426922i
$832$	−4.09021	−	17.9204i	−0.00491612	−	0.0215389i
$833$	375.997	+	236.255i	0.451377	+	0.283619i
$834$	547.655	+	436.740i	0.656660	+	0.523669i
$835$	−291.122	+	140.197i	−0.348650	+	0.167901i
$836$	525.943	+	253.281i	0.629119	+	0.302968i
$837$	337.539	+	423.260i	0.403272	+	0.505687i
$838$	799.791	−	90.1148i	0.954404	−	0.107536i
$839$	−359.707	−	1027.98i	−0.428733	−	1.22525i	−0.932424	−	0.361365i	$-0.882311\pi$
$839$	−359.707	−	1027.98i	−0.428733	−	1.22525i	0.503691	−	0.863884i	$-0.331975\pi$
$840$			62.1056i			0.0739353i
$841$	840.935	−	10.4863i	0.999922	−	0.0124688i
$842$	−967.313			−1.14883
$843$	−541.449	+	189.461i	−0.642288	+	0.224746i
$844$	70.4451	+	625.218i	0.0834658	+	0.740779i
$845$	292.291	−	233.094i	0.345907	−	0.275851i
$846$	−41.3864	+	85.9398i	−0.0489201	+	0.101584i
$847$	141.357	+	293.531i	0.166892	+	0.346554i
$848$	−96.6759	+	121.228i	−0.114005	+	0.142957i
$849$	−211.636	+	336.816i	−0.249276	+	0.396721i
$850$	290.750	−	66.3617i	0.342058	−	0.0780726i
$851$	−158.924	+	1410.49i	−0.186750	+	1.65745i
$852$	−471.746	−	750.780i	−0.553693	−	0.881197i
$853$	1090.21	+	1090.21i	1.27809	+	1.27809i	0.941733	+	0.336361i	$0.109196\pi$
$853$	1090.21	+	1090.21i	1.27809	+	1.27809i	0.336361	+	0.941733i	$0.390804\pi$
$854$	−97.1146	−	22.1658i	−0.113717	−	0.0259552i
$855$	−51.0790	+	145.975i	−0.0597415	+	0.170732i
$856$	−173.432	−	60.6866i	−0.202608	−	0.0708956i
$857$	−181.311	+	794.377i	−0.211565	+	0.926927i	0.751939	+	0.659233i	$0.229119\pi$
$857$	−181.311	+	794.377i	−0.211565	+	0.926927i	−0.963504	+	0.267694i	$0.913738\pi$
$858$	126.710	−	126.710i	0.147681	−	0.147681i
$859$	819.881	−	515.165i	0.954459	−	0.599727i	0.0377526	−	0.999287i	$-0.487980\pi$
$859$	819.881	−	515.165i	0.954459	−	0.599727i	0.916707	+	0.399561i	$0.130837\pi$
$860$	−257.616	−	29.0263i	−0.299553	−	0.0337515i
$861$	119.442	+	523.309i	0.138725	+	0.607792i
$862$	754.656	+	474.182i	0.875471	+	0.550095i
$863$	−638.298	−	509.026i	−0.739627	−	0.589833i	0.179517	−	0.983755i	$-0.442547\pi$
$863$	−638.298	−	509.026i	−0.739627	−	0.589833i	−0.919144	+	0.393922i	$0.871118\pi$
$864$	97.6308	−	47.0165i	0.112999	−	0.0544173i
$865$	−124.819	−	60.1095i	−0.144299	−	0.0694907i
$866$	479.204	+	600.903i	0.553353	+	0.693883i
$867$	−618.817	+	69.7239i	−0.713745	+	0.0804197i
$868$	−50.5627	−	144.500i	−0.0582519	−	0.166474i
$869$		−	968.333i		−	1.11431i
$870$	332.479	−	2.07289i	0.382160	−	0.00238263i
$871$	44.9042			0.0515548
$872$	400.406	−	140.108i	0.459181	−	0.160674i
$873$	−11.1295	−	98.7773i	−0.0127486	−	0.113147i
$874$	539.988	−	430.626i	0.617835	−	0.492707i
$875$	−120.182	+	249.560i	−0.137350	+	0.285211i
$876$	147.332	+	305.938i	0.168187	+	0.349244i
$877$	−278.658	+	349.426i	−0.317740	+	0.398433i	−0.914894	−	0.403693i	$-0.867726\pi$
$877$	−278.658	+	349.426i	−0.317740	+	0.398433i	0.597155	+	0.802126i	$0.296298\pi$
$878$	−293.917	+	467.766i	−0.334757	+	0.532763i
$879$	−849.251	+	193.836i	−0.966156	+	0.220519i
$880$	15.8857	−	140.989i	0.0180519	−	0.160215i
$881$	242.681	+	386.225i	0.275461	+	0.438393i	0.955590	−	0.294699i	$-0.0952193\pi$
$881$	242.681	+	386.225i	0.275461	+	0.438393i	−0.680129	+	0.733092i	$0.738076\pi$
$882$	−150.173	−	150.173i	−0.170264	−	0.170264i
$883$	−1548.91	−	353.528i	−1.75414	−	0.400371i	−0.779904	−	0.625900i	$-0.784732\pi$
$883$	−1548.91	−	353.528i	−1.75414	−	0.400371i	−0.974237	+	0.225528i	$0.927589\pi$
$884$	16.1762	−	46.2289i	0.0182989	−	0.0522951i
$885$	789.963	+	276.420i	0.892614	+	0.312339i
$886$	−16.9577	+	74.2967i	−0.0191397	+	0.0838563i
$887$	1087.51	−	1087.51i	1.22605	−	1.22605i	0.260603	−	0.965446i	$-0.416079\pi$
$887$	1087.51	−	1087.51i	1.22605	−	1.22605i	0.965446	−	0.260603i	$-0.0839215\pi$
$888$	464.338	−	291.763i	0.522903	−	0.328562i
$889$	−462.685	−	52.1320i	−0.520455	−	0.0586412i
$890$	36.7573	+	161.044i	0.0413003	+	0.180948i
$891$	1321.14	+	830.128i	1.48276	+	0.931682i
$892$	−197.760	−	157.709i	−0.221704	−	0.176803i
$893$	−316.797	+	152.561i	−0.354756	+	0.170842i
$894$	950.695	+	457.831i	1.06342	+	0.512115i
$895$	−336.981	−	422.560i	−0.376515	−	0.472134i
$896$	−30.4503	+	3.43093i	−0.0339848	+	0.00382916i
$897$	−70.0245	−	200.118i	−0.0780652	−	0.223097i
$898$		−	791.146i		−	0.881009i
$899$	−771.883	+	275.507i	−0.858602	+	0.306460i
$900$	−142.630			−0.158478
$901$	−389.967	+	136.455i	−0.432815	+	0.151449i
$902$	−137.297	−	1218.54i	−0.152214	−	1.35093i
$903$	−426.760	+	340.329i	−0.472602	+	0.376887i
$904$	152.900	−	317.500i	0.169137	−	0.351217i
$905$	−305.241	−	633.840i	−0.337283	−	0.700376i
$906$	−165.970	+	208.120i	−0.183190	+	0.229713i
$907$	868.698	−	1382.53i	0.957771	−	1.52428i	0.109993	−	0.993932i	$-0.464917\pi$
$907$	868.698	−	1382.53i	0.957771	−	1.52428i	0.847778	−	0.530351i	$-0.177940\pi$
$908$	231.677	−	52.8787i	0.255151	−	0.0582365i
$909$	5.30878	−	47.1167i	0.00584024	−	0.0518336i
$910$	10.6921	+	17.0164i	0.0117496	+	0.0186993i
$911$	105.220	+	105.220i	0.115500	+	0.115500i	0.762495	−	0.646995i	$-0.223974\pi$
$911$	105.220	+	105.220i	0.115500	+	0.115500i	−0.646995	+	0.762495i	$0.723974\pi$
$912$	−260.151	−	59.3778i	−0.285253	−	0.0651072i
$913$	54.7833	−	156.562i	0.0600036	−	0.171480i
$914$	−148.833	−	52.0789i	−0.162837	−	0.0569791i
$915$	−46.9138	+	205.543i	−0.0512719	+	0.224637i
$916$	102.799	−	102.799i	0.112226	−	0.112226i
$917$	573.921	−	360.618i	0.625868	−	0.393259i
$918$	286.918	+	32.3279i	0.312547	+	0.0352156i
$919$	27.2271	+	119.290i	0.0296268	+	0.129804i	0.987579	−	0.157125i	$-0.0502227\pi$
$919$	27.2271	+	119.290i	0.0296268	+	0.129804i	−0.957952	+	0.286929i	$0.907366\pi$
$920$	−142.138	−	89.3110i	−0.154497	−	0.0970772i
$921$	−226.010	−	180.237i	−0.245396	−	0.195697i
$922$	−211.398	+	101.804i	−0.229282	+	0.110416i
$923$	−258.508	−	124.491i	−0.280074	−	0.134877i
$924$	−186.257	−	233.559i	−0.201577	−	0.252770i
$925$	1073.74	−	120.981i	1.16080	−	0.130790i
$926$	67.5885	+	193.157i	0.0729897	+	0.208593i
$927$			528.811i			0.570454i
$928$	19.3836	+	162.900i	0.0208875	+	0.175538i
$929$	−986.910			−1.06234			−0.531168	−	0.847267i	$-0.678247\pi$
$929$	−986.910			−1.06234			−0.531168	+	0.847267i	$0.678247\pi$
$930$	−305.833	+	107.016i	−0.328853	+	0.115071i
$931$	−87.6546	−	777.956i	−0.0941510	−	0.835613i
$932$	181.867	−	145.034i	0.195136	−	0.155616i
$933$	−235.455	+	488.927i	−0.252363	+	0.524037i
$934$	329.257	+	683.710i	0.352524	+	0.732023i
$935$	235.709	−	295.569i	0.252095	−	0.316117i
$936$	−12.4623	+	19.8336i	−0.0133144	+	0.0211898i
$937$	176.504	−	40.2860i	0.188372	−	0.0429947i	−0.127294	−	0.991865i	$-0.540629\pi$
$937$	176.504	−	40.2860i	0.188372	−	0.0429947i	0.315666	+	0.948870i	$0.397772\pi$
$938$	8.38156	−	74.3884i	0.00893556	−	0.0793053i
$939$	−602.838	−	959.411i	−0.642000	−	1.02174i
$940$	60.4300	+	60.4300i	0.0642873	+	0.0642873i
$941$	−1253.36	−	286.072i	−1.33195	−	0.304009i	−0.503463	−	0.864017i	$-0.667941\pi$
$941$	−1253.36	−	286.072i	−1.33195	−	0.304009i	−0.828487	+	0.560008i	$0.810798\pi$
$942$	332.973	−	951.583i	0.353475	−	1.01017i
$943$	−1369.43	−	479.185i	−1.45221	−	0.508149i
$944$	−91.8883	+	402.589i	−0.0973393	+	0.426471i
$945$	−83.7746	+	83.7746i	−0.0886504	+	0.0886504i
$946$	1055.86	−	663.441i	1.11613	−	0.701312i
$947$	393.405	+	44.3261i	0.415423	+	0.0468069i	0.317202	−	0.948358i	$-0.397257\pi$
$947$	393.405	+	44.3261i	0.415423	+	0.0468069i	0.0982201	+	0.995165i	$0.468685\pi$
$948$	98.4962	+	431.540i	0.103899	+	0.455211i
$949$	93.0378	+	58.4595i	0.0980377	+	0.0616012i
$950$	−411.066	−	327.814i	−0.432701	−	0.345068i
$951$	−580.158	+	279.389i	−0.610050	+	0.293785i
$952$	−73.5634	−	35.4263i	−0.0772725	−	0.0372125i
$953$	77.4997	+	97.1815i	0.0813218	+	0.101974i	0.820828	−	0.571175i	$-0.193512\pi$
$953$	77.4997	+	97.1815i	0.0813218	+	0.101974i	−0.739506	+	0.673150i	$0.764941\pi$
$954$	196.352	−	22.1235i	0.205819	−	0.0231903i
$955$	166.723	+	476.467i	0.174579	+	0.498918i
$956$			75.6010i			0.0790805i
$957$	−1244.13	+	1004.91i	−1.30003	+	1.05007i
$958$	−0.478589			−0.000499571
$959$	−216.867	+	75.8850i	−0.226138	+	0.0791293i
$960$	7.26156	+	64.4481i	0.00756412	+	0.0671334i
$961$	−126.890	+	101.191i	−0.132040	+	0.105298i
$962$	76.9944	−	159.881i	0.0800358	−	0.166196i
$963$	101.595	+	210.963i	0.105498	+	0.219069i
$964$	−273.875	+	343.429i	−0.284103	+	0.356254i
$965$	168.388	−	267.989i	0.174496	−	0.277709i
$966$	−344.586	+	78.6496i	−0.356715	+	0.0814178i
$967$	−19.1857	+	170.278i	−0.0198404	+	0.176089i	−0.999724	−	0.0234798i	$-0.992525\pi$
$967$	−19.1857	+	170.278i	−0.0198404	+	0.176089i	0.979884	+	0.199568i	$0.0639540\pi$
$968$	181.009	+	288.075i	0.186993	+	0.297598i
$969$	−502.758	−	502.758i	−0.518842	−	0.518842i
$970$	−86.8266	−	19.8176i	−0.0895119	−	0.0204305i
$971$	−481.749	+	1376.76i	−0.496137	+	1.41788i	0.375085	+	0.926990i	$0.377613\pi$
$971$	−481.749	+	1376.76i	−0.496137	+	1.41788i	−0.871223	+	0.490888i	$0.836672\pi$
$972$	−347.752	−	121.684i	−0.357770	−	0.125189i
$973$	84.0844	−	368.398i	0.0864177	−	0.378621i
$974$	381.045	−	381.045i	0.391216	−	0.391216i
$975$	−136.659	+	85.8686i	−0.140163	+	0.0880703i
$976$	−103.369	−	11.6469i	−0.105911	−	0.0119333i
$977$	91.9511	+	402.864i	0.0941158	+	0.412348i	0.999936	−	0.0113141i	$-0.00360145\pi$
$977$	91.9511	+	402.864i	0.0941158	+	0.412348i	−0.905820	+	0.423662i	$0.860744\pi$
$978$	912.948	+	573.643i	0.933485	+	0.586547i
$979$	−621.210	−	495.399i	−0.634536	−	0.506025i
$980$	−171.435	+	82.5589i	−0.174934	+	0.0842438i
$981$	−487.054	−	234.553i	−0.496487	−	0.239096i
$982$	−394.047	−	494.119i	−0.401269	−	0.503176i
$983$	423.722	−	47.7420i	0.431050	−	0.0485676i	0.106225	−	0.994342i	$-0.466123\pi$
$983$	423.722	−	47.7420i	0.431050	−	0.0485676i	0.324824	+	0.945774i	$0.394695\pi$
$984$	185.134	+	529.081i	0.188144	+	0.537684i
$985$			154.210i			0.156558i
$986$	−187.197	+	395.000i	−0.189855	+	0.400608i
$987$	179.939			0.182309
$988$	−81.5015	+	28.5186i	−0.0824914	+	0.0288650i
$989$	−165.191	−	1466.11i	−0.167028	−	1.48242i
$990$	−141.359	+	112.730i	−0.142787	+	0.113869i
$991$	−359.363	+	746.226i	−0.362627	+	0.753003i	−0.999844	−	0.0176819i	$-0.994371\pi$
$991$	−359.363	+	746.226i	−0.362627	+	0.753003i	0.637217	+	0.770685i	$0.280086\pi$
$992$	−69.3650	−	144.038i	−0.0699244	−	0.145200i
$993$	29.8230	−	37.3969i	0.0300333	−	0.0376605i
$994$	−254.483	+	405.008i	−0.256020	+	0.407453i
$995$	−279.432	+	63.7786i	−0.280837	+	0.0640991i
$996$	−8.48928	+	75.3445i	−0.00852338	+	0.0756471i
$997$	−594.026	−	945.387i	−0.595813	−	0.948232i	−0.999445	−	0.0333101i	$-0.989395\pi$
$997$	−594.026	−	945.387i	−0.595813	−	0.948232i	0.403632	−	0.914922i	$-0.367748\pi$
$998$	−75.3327	−	75.3327i	−0.0754837	−	0.0754837i
$999$	1019.91	+	232.787i	1.02093	+	0.233020i

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

)

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	58.3.f.b.11.3	✓	36
29.8	odd	28	inner	58.3.f.b.37.3	yes	36

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
58.3.f.b.11.3	✓	36	1.1	even	1	trivial
58.3.f.b.37.3	yes	36	29.8	odd	28	inner

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

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Label	58.3.f.b.11.3

Level	$58$
Weight	$3$
Character	58.11
Analytic conductor	$1.580$
Analytic rank	$0$
Dimension	$36$
Inner twists	$2$