LMFDB - Embedded newform 25.3.f.a.22.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [25,3,Mod(2,25)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(25, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([1]))

N = Newforms(chi, 3, names="a")

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

chi := DirichletCharacter("25.2");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 25 = 5^{2} $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	25.f (of order $20$, degree $8$, 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:	$0.681200660901$
Analytic rank:	$0$
Dimension:	$32$
Relative dimension:	$4$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			22.1
Character	$\chi$	$=$	25.22
Dual form			25.3.f.a.8.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-2.38234 + 1.21387i) q^{2} +(-3.57679 + 0.566508i) q^{3} +(1.85096 - 2.54762i) q^{4} +(-4.45026 + 2.27929i) q^{5} +(7.83348 - 5.69136i) q^{6} +(6.54971 + 6.54971i) q^{7} +(0.355933 - 2.24727i) q^{8} +(3.91299 - 1.27141i) q^{9} +O(q^{10})$	\(q+(-2.38234 + 1.21387i) q^{2} +(-3.57679 + 0.566508i) q^{3} +(1.85096 - 2.54762i) q^{4} +(-4.45026 + 2.27929i) q^{5} +(7.83348 - 5.69136i) q^{6} +(6.54971 + 6.54971i) q^{7} +(0.355933 - 2.24727i) q^{8} +(3.91299 - 1.27141i) q^{9} +(7.83532 - 10.8321i) q^{10} +(-3.18653 + 9.80714i) q^{11} +(-5.17723 + 10.1609i) q^{12} +(-11.3286 - 5.77220i) q^{13} +(-23.5541 - 7.65321i) q^{14} +(14.6264 - 10.6736i) q^{15} +(5.77235 + 17.7655i) q^{16} +(0.578287 + 0.0915916i) q^{17} +(-7.77878 + 7.77878i) q^{18} +(1.57500 + 2.16781i) q^{19} +(-2.43048 + 15.5565i) q^{20} +(-27.1374 - 19.7165i) q^{21} +(-4.31313 - 27.2320i) q^{22} +(16.5548 + 32.4907i) q^{23} +8.23965i q^{24} +(14.6097 - 20.2869i) q^{25} +33.9953 q^{26} +(15.7643 - 8.03233i) q^{27} +(28.8094 - 4.56297i) q^{28} +(9.15785 - 12.6047i) q^{29} +(-21.8888 + 43.1828i) q^{30} +(-15.1042 + 10.9739i) q^{31} +(-28.8811 - 28.8811i) q^{32} +(5.84174 - 36.8833i) q^{33} +(-1.48886 + 0.483759i) q^{34} +(-44.0766 - 14.2193i) q^{35} +(4.00371 - 12.3221i) q^{36} +(-26.1444 + 51.3113i) q^{37} +(-6.38363 - 3.25262i) q^{38} +(43.7900 + 14.2282i) q^{39} +(3.53818 + 10.8122i) q^{40} +(0.808618 + 2.48867i) q^{41} +(88.5838 + 14.0303i) q^{42} +(-7.76543 + 7.76543i) q^{43} +(19.0868 + 26.2707i) q^{44} +(-14.5159 + 14.5769i) q^{45} +(-78.8786 - 57.3086i) q^{46} +(-6.13916 - 38.7611i) q^{47} +(-30.7108 - 60.2733i) q^{48} +36.7975i q^{49} +(-10.1799 + 66.0645i) q^{50} -2.12030 q^{51} +(-35.6741 + 18.1769i) q^{52} +(39.0747 - 6.18882i) q^{53} +(-27.8059 + 38.2716i) q^{54} +(-8.17236 - 50.9074i) q^{55} +(17.0502 - 12.3877i) q^{56} +(-6.86154 - 6.86154i) q^{57} +(-6.51675 + 41.1452i) q^{58} +(0.494461 - 0.160660i) q^{59} +(-0.119521 - 57.0191i) q^{60} +(7.44472 - 22.9125i) q^{61} +(22.6627 - 44.4780i) q^{62} +(33.9563 + 17.3016i) q^{63} +(32.8008 + 10.6576i) q^{64} +(63.5717 - 0.133256i) q^{65} +(30.8543 + 94.9598i) q^{66} +(6.71462 + 1.06349i) q^{67} +(1.30372 - 1.30372i) q^{68} +(-77.6194 - 106.834i) q^{69} +(122.266 - 19.6278i) q^{70} +(80.2586 + 58.3113i) q^{71} +(-1.46444 - 9.24608i) q^{72} +(27.3185 + 53.6155i) q^{73} -153.977i q^{74} +(-40.7632 + 80.8383i) q^{75} +8.43802 q^{76} +(-85.1048 + 43.3631i) q^{77} +(-121.594 + 19.2586i) q^{78} +(2.28841 - 3.14973i) q^{79} +(-66.1811 - 65.9042i) q^{80} +(-81.7927 + 59.4258i) q^{81} +(-4.94732 - 4.94732i) q^{82} +(-10.3587 + 65.4021i) q^{83} +(-100.460 + 32.6415i) q^{84} +(-2.78229 + 0.910474i) q^{85} +(9.07375 - 27.9261i) q^{86} +(-25.6151 + 50.2724i) q^{87} +(20.9051 + 10.6517i) q^{88} +(-49.5405 - 16.0967i) q^{89} +(16.8876 - 52.3477i) q^{90} +(-36.3927 - 112.005i) q^{91} +(113.416 + 17.9634i) q^{92} +(47.8078 - 47.8078i) q^{93} +(61.6764 + 84.8903i) q^{94} +(-11.9502 - 6.05743i) q^{95} +(119.663 + 86.9404i) q^{96} +(0.610311 + 3.85335i) q^{97} +(-44.6672 - 87.6643i) q^{98} +42.4266i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 32 q - 10 q^{2} - 10 q^{3} - 10 q^{4} - 10 q^{5} - 6 q^{6} - 10 q^{7} - 10 q^{8} - 10 q^{9}+O(q^{10}) $ 32 * q - 10 * q^2 - 10 * q^3 - 10 * q^4 - 10 * q^5 - 6 * q^6 - 10 * q^7 - 10 * q^8 - 10 * q^9	\( 32 q - 10 q^{2} - 10 q^{3} - 10 q^{4} - 10 q^{5} - 6 q^{6} - 10 q^{7} - 10 q^{8} - 10 q^{9} - 10 q^{10} - 6 q^{11} - 10 q^{12} - 10 q^{13} - 10 q^{14} - 10 q^{15} + 2 q^{16} + 60 q^{17} + 140 q^{18} + 90 q^{19} + 130 q^{20} - 6 q^{21} + 70 q^{22} + 10 q^{23} - 40 q^{25} + 4 q^{26} - 100 q^{27} - 250 q^{28} - 110 q^{29} - 250 q^{30} - 6 q^{31} - 290 q^{32} - 190 q^{33} - 260 q^{34} - 120 q^{35} - 58 q^{36} + 50 q^{37} + 320 q^{38} + 390 q^{39} + 440 q^{40} - 86 q^{41} + 690 q^{42} + 230 q^{43} + 340 q^{44} + 310 q^{45} - 6 q^{46} + 70 q^{47} + 160 q^{48} - 100 q^{50} - 16 q^{51} - 320 q^{52} - 190 q^{53} - 660 q^{54} - 250 q^{55} - 70 q^{56} - 650 q^{57} - 640 q^{58} - 260 q^{59} - 550 q^{60} + 114 q^{61} + 60 q^{62} - 20 q^{63} + 340 q^{64} + 360 q^{65} + 138 q^{66} + 270 q^{67} + 710 q^{68} + 340 q^{69} + 310 q^{70} - 66 q^{71} + 360 q^{72} + 30 q^{73} - 90 q^{75} - 80 q^{76} - 250 q^{77} - 500 q^{78} - 210 q^{79} - 850 q^{80} + 62 q^{81} + 30 q^{82} - 10 q^{84} + 600 q^{85} - 6 q^{86} + 300 q^{87} + 190 q^{88} - 10 q^{89} + 380 q^{90} - 6 q^{91} - 30 q^{92} + 520 q^{93} + 790 q^{94} + 310 q^{95} + 174 q^{96} + 270 q^{97} + 170 q^{98}+O(q^{100}) \) 32 * q - 10 * q^2 - 10 * q^3 - 10 * q^4 - 10 * q^5 - 6 * q^6 - 10 * q^7 - 10 * q^8 - 10 * q^9 - 10 * q^10 - 6 * q^11 - 10 * q^12 - 10 * q^13 - 10 * q^14 - 10 * q^15 + 2 * q^16 + 60 * q^17 + 140 * q^18 + 90 * q^19 + 130 * q^20 - 6 * q^21 + 70 * q^22 + 10 * q^23 - 40 * q^25 + 4 * q^26 - 100 * q^27 - 250 * q^28 - 110 * q^29 - 250 * q^30 - 6 * q^31 - 290 * q^32 - 190 * q^33 - 260 * q^34 - 120 * q^35 - 58 * q^36 + 50 * q^37 + 320 * q^38 + 390 * q^39 + 440 * q^40 - 86 * q^41 + 690 * q^42 + 230 * q^43 + 340 * q^44 + 310 * q^45 - 6 * q^46 + 70 * q^47 + 160 * q^48 - 100 * q^50 - 16 * q^51 - 320 * q^52 - 190 * q^53 - 660 * q^54 - 250 * q^55 - 70 * q^56 - 650 * q^57 - 640 * q^58 - 260 * q^59 - 550 * q^60 + 114 * q^61 + 60 * q^62 - 20 * q^63 + 340 * q^64 + 360 * q^65 + 138 * q^66 + 270 * q^67 + 710 * q^68 + 340 * q^69 + 310 * q^70 - 66 * q^71 + 360 * q^72 + 30 * q^73 - 90 * q^75 - 80 * q^76 - 250 * q^77 - 500 * q^78 - 210 * q^79 - 850 * q^80 + 62 * q^81 + 30 * q^82 - 10 * q^84 + 600 * q^85 - 6 * q^86 + 300 * q^87 + 190 * q^88 - 10 * q^89 + 380 * q^90 - 6 * q^91 - 30 * q^92 + 520 * q^93 + 790 * q^94 + 310 * q^95 + 174 * q^96 + 270 * q^97 + 170 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/25\mathbb{Z}\right)^\times$.

$n$	$2$
$\chi(n)$	$e\left(\frac{17}{20}\right)$

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 $

$2$	−2.38234	+	1.21387i	−1.19117	+	0.606933i	−0.933248	−	0.359233i	$-0.883039\pi$
$2$	−2.38234	+	1.21387i	−1.19117	+	0.606933i	−0.257924	+	0.966165i	$0.583039\pi$
$3$	−3.57679	+	0.566508i	−1.19226	+	0.188836i	−0.720859	−	0.693081i	$-0.756253\pi$
$3$	−3.57679	+	0.566508i	−1.19226	+	0.188836i	−0.471404	+	0.881917i	$0.656253\pi$
$4$	1.85096	−	2.54762i	0.462739	−	0.636906i
$5$	−4.45026	+	2.27929i	−0.890053	+	0.455857i
$5$	−4.45026	+	2.27929i	−0.890053	+	0.455857i
$6$	7.83348	−	5.69136i	1.30558	−	0.948560i
$7$	6.54971	+	6.54971i	0.935673	+	0.935673i	0.998053	−	0.0623792i	$-0.0198688\pi$
$7$	6.54971	+	6.54971i	0.935673	+	0.935673i	−0.0623792	+	0.998053i	$0.519869\pi$
$8$	0.355933	−	2.24727i	0.0444916	−	0.280909i
$9$	3.91299	−	1.27141i	0.434777	−	0.141268i
$10$	7.83532	−	10.8321i	0.783532	−	1.08321i
$11$	−3.18653	+	9.80714i	−0.289685	+	0.891558i	0.695270	+	0.718748i	$0.255285\pi$
$11$	−3.18653	+	9.80714i	−0.289685	+	0.891558i	−0.984955	+	0.172810i	$0.944715\pi$
$12$	−5.17723	+	10.1609i	−0.431436	+	0.846741i
$13$	−11.3286	−	5.77220i	−0.871430	−	0.444016i	−0.0397101	−	0.999211i	$-0.512643\pi$
$13$	−11.3286	−	5.77220i	−0.871430	−	0.444016i	−0.831720	+	0.555195i	$0.812643\pi$
$14$	−23.5541	−	7.65321i	−1.68244	−	0.546658i
$15$	14.6264	−	10.6736i	0.975095	−	0.711576i
$16$	5.77235	+	17.7655i	0.360772	+	1.11034i
$17$	0.578287	+	0.0915916i	0.0340169	+	0.00538774i	0.173420	−	0.984848i	$-0.444518\pi$
$17$	0.578287	+	0.0915916i	0.0340169	+	0.00538774i	−0.139403	+	0.990236i	$0.544518\pi$
$18$	−7.77878	+	7.77878i	−0.432154	+	0.432154i
$19$	1.57500	+	2.16781i	0.0828949	+	0.114095i	0.848451	−	0.529275i	$-0.177536\pi$
$19$	1.57500	+	2.16781i	0.0828949	+	0.114095i	−0.765556	+	0.643370i	$0.777536\pi$
$20$	−2.43048	+	15.5565i	−0.121524	+	0.777823i
$21$	−27.1374	−	19.7165i	−1.29226	−	0.938880i
$22$	−4.31313	−	27.2320i	−0.196051	−	1.23782i
$23$	16.5548	+	32.4907i	0.719775	+	1.41264i	0.903032	+	0.429573i	$0.141336\pi$
$23$	16.5548	+	32.4907i	0.719775	+	1.41264i	−0.183257	+	0.983065i	$0.558664\pi$
$24$			8.23965i			0.343319i
$25$	14.6097	−	20.2869i	0.584388	−	0.811474i
$26$	33.9953			1.30751
$27$	15.7643	−	8.03233i	0.583864	−	0.297494i
$28$	28.8094	−	4.56297i	1.02891	−	0.162963i
$29$	9.15785	−	12.6047i	0.315788	−	0.434645i	−0.621387	−	0.783504i	$-0.713431\pi$
$29$	9.15785	−	12.6047i	0.315788	−	0.434645i	0.937175	+	0.348859i	$0.113431\pi$
$30$	−21.8888	+	43.1828i	−0.729628	+	1.43943i
$31$	−15.1042	+	10.9739i	−0.487233	+	0.353995i	−0.804119	−	0.594468i	$-0.797363\pi$
$31$	−15.1042	+	10.9739i	−0.487233	+	0.353995i	0.316886	+	0.948464i	$0.397363\pi$
$32$	−28.8811	−	28.8811i	−0.902536	−	0.902536i
$33$	5.84174	−	36.8833i	0.177022	−	1.11767i
$34$	−1.48886	+	0.483759i	−0.0437900	+	0.0142282i
$35$	−44.0766	−	14.2193i	−1.25933	−	0.406265i
$36$	4.00371	−	12.3221i	0.111214	−	0.342282i
$37$	−26.1444	+	51.3113i	−0.706606	+	1.38679i	0.206246	+	0.978500i	$0.433875\pi$
$37$	−26.1444	+	51.3113i	−0.706606	+	1.38679i	−0.912852	+	0.408292i	$0.866125\pi$
$38$	−6.38363	−	3.25262i	−0.167990	−	0.0855953i
$39$	43.7900	+	14.2282i	1.12282	+	0.364826i
$40$	3.53818	+	10.8122i	0.0884544	+	0.270305i
$41$	0.808618	+	2.48867i	0.0197224	+	0.0606993i	0.960433	−	0.278510i	$-0.0898405\pi$
$41$	0.808618	+	2.48867i	0.0197224	+	0.0606993i	−0.940711	+	0.339209i	$0.889841\pi$
$42$	88.5838	+	14.0303i	2.10914	+	0.334055i
$43$	−7.76543	+	7.76543i	−0.180591	+	0.180591i	−0.791614	−	0.611022i	$-0.790759\pi$
$43$	−7.76543	+	7.76543i	−0.180591	+	0.180591i	0.611022	+	0.791614i	$0.290759\pi$
$44$	19.0868	+	26.2707i	0.433790	+	0.597061i
$45$	−14.5159	+	14.5769i	−0.322577	+	0.323932i
$46$	−78.8786	−	57.3086i	−1.71475	−	1.24584i
$47$	−6.13916	−	38.7611i	−0.130620	−	0.824705i	−0.962803	−	0.270204i	$-0.912909\pi$
$47$	−6.13916	−	38.7611i	−0.130620	−	0.824705i	0.832183	−	0.554501i	$-0.187091\pi$
$48$	−30.7108	−	60.2733i	−0.639808	−	1.25569i
$49$			36.7975i			0.750969i
$50$	−10.1799	+	66.0645i	−0.203597	+	1.32129i
$51$	−2.12030			−0.0415745
$52$	−35.6741	+	18.1769i	−0.686041	+	0.349555i
$53$	39.0747	−	6.18882i	0.737258	−	0.116770i	0.223498	−	0.974704i	$-0.428252\pi$
$53$	39.0747	−	6.18882i	0.737258	−	0.116770i	0.513760	+	0.857934i	$0.328252\pi$
$54$	−27.8059	+	38.2716i	−0.514924	+	0.708733i
$55$	−8.17236	−	50.9074i	−0.148588	−	0.925589i
$56$	17.0502	−	12.3877i	0.304468	−	0.221209i
$57$	−6.86154	−	6.86154i	−0.120378	−	0.120378i
$58$	−6.51675	+	41.1452i	−0.112358	+	0.709399i
$59$	0.494461	−	0.160660i	0.00838070	−	0.00272305i	−0.304824	−	0.952409i	$-0.598598\pi$
$59$	0.494461	−	0.160660i	0.00838070	−	0.00272305i	0.313204	+	0.949686i	$0.398598\pi$
$60$	−0.119521	−	57.0191i	−0.00199202	−	0.950318i
$61$	7.44472	−	22.9125i	0.122045	−	0.375615i	−0.871306	−	0.490739i	$-0.836727\pi$
$61$	7.44472	−	22.9125i	0.122045	−	0.375615i	0.993351	+	0.115125i	$0.0367267\pi$
$62$	22.6627	−	44.4780i	0.365527	−	0.717387i
$63$	33.9563	+	17.3016i	0.538989	+	0.274629i
$64$	32.8008	+	10.6576i	0.512512	+	0.166525i
$65$	63.5717	−	0.133256i	0.978027	−	0.00205010i
$66$	30.8543	+	94.9598i	0.467489	+	1.43878i
$67$	6.71462	+	1.06349i	0.100218	+	0.0158730i	0.206342	−	0.978480i	$-0.433844\pi$
$67$	6.71462	+	1.06349i	0.100218	+	0.0158730i	−0.106124	+	0.994353i	$0.533844\pi$
$68$	1.30372	−	1.30372i	0.0191724	−	0.0191724i
$69$	−77.6194	−	106.834i	−1.12492	−	1.54832i
$70$	122.266	−	19.6278i	1.74666	−	0.280398i
$71$	80.2586	+	58.3113i	1.13040	+	0.821286i	0.985753	−	0.168197i	$-0.0537945\pi$
$71$	80.2586	+	58.3113i	1.13040	+	0.821286i	0.144650	+	0.989483i	$0.453795\pi$
$72$	−1.46444	−	9.24608i	−0.0203394	−	0.128418i
$73$	27.3185	+	53.6155i	0.374226	+	0.734459i	0.998923	−	0.0464080i	$-0.0147774\pi$
$73$	27.3185	+	53.6155i	0.374226	+	0.734459i	−0.624697	+	0.780867i	$0.714777\pi$
$74$		−	153.977i		−	2.08077i
$75$	−40.7632	+	80.8383i	−0.543510	+	1.07784i
$76$	8.43802			0.111027
$77$	−85.1048	+	43.3631i	−1.10526	+	0.563157i
$78$	−121.594	+	19.2586i	−1.55890	+	0.246905i
$79$	2.28841	−	3.14973i	0.0289672	−	0.0398699i	−0.794288	−	0.607542i	$-0.792156\pi$
$79$	2.28841	−	3.14973i	0.0289672	−	0.0398699i	0.823255	+	0.567672i	$0.192156\pi$
$80$	−66.1811	−	65.9042i	−0.827263	−	0.823802i
$81$	−81.7927	+	59.4258i	−1.00979	+	0.733652i
$82$	−4.94732	−	4.94732i	−0.0603332	−	0.0603332i
$83$	−10.3587	+	65.4021i	−0.124803	+	0.787977i	0.843303	+	0.537438i	$0.180608\pi$
$83$	−10.3587	+	65.4021i	−0.124803	+	0.787977i	−0.968107	+	0.250539i	$0.919392\pi$
$84$	−100.460	+	32.6415i	−1.19596	+	0.388590i
$85$	−2.78229	+	0.910474i	−0.0327329	+	0.0107115i
$86$	9.07375	−	27.9261i	0.105509	−	0.324722i
$87$	−25.6151	+	50.2724i	−0.294426	+	0.577844i
$88$	20.9051	+	10.6517i	0.237558	+	0.121042i
$89$	−49.5405	−	16.0967i	−0.556635	−	0.180862i	0.0171715	−	0.999853i	$-0.494534\pi$
$89$	−49.5405	−	16.0967i	−0.556635	−	0.180862i	−0.573807	+	0.818991i	$0.694534\pi$
$90$	16.8876	−	52.3477i	0.187640	−	0.581641i
$91$	−36.3927	−	112.005i	−0.399920	−	1.23083i
$92$	113.416	+	17.9634i	1.23278	+	0.195254i
$93$	47.8078	−	47.8078i	0.514063	−	0.514063i
$94$	61.6764	+	84.8903i	0.656132	+	0.903088i
$95$	−11.9502	−	6.05743i	−0.125792	−	0.0637624i
$96$	119.663	+	86.9404i	1.24649	+	0.905629i
$97$	0.610311	+	3.85335i	0.00629187	+	0.0397253i	0.990635	−	0.136540i	$-0.0435983\pi$
$97$	0.610311	+	3.85335i	0.00629187	+	0.0397253i	−0.984343	+	0.176265i	$0.943598\pi$
$98$	−44.6672	−	87.6643i	−0.455788	−	0.894534i
$99$			42.4266i			0.428552i
$100$	−24.6413	−	74.7701i	−0.246413	−	0.747701i
$101$	76.8760			0.761148			0.380574	−	0.924750i	$-0.375726\pi$
$101$	76.8760			0.761148			0.380574	+	0.924750i	$0.375726\pi$
$102$	5.05128	−	2.57376i	0.0495224	−	0.0252329i
$103$	−73.6729	+	11.6686i	−0.715270	+	0.113288i	−0.503454	−	0.864022i	$-0.667938\pi$
$103$	−73.6729	+	11.6686i	−0.715270	+	0.113288i	−0.211816	+	0.977310i	$0.567938\pi$
$104$	−17.0039	+	23.4039i	−0.163499	+	0.225037i
$105$	165.708	+	25.8897i	1.57817	+	0.246568i
$106$	−85.5769	+	62.1753i	−0.807330	+	0.586559i
$107$	39.5670	+	39.5670i	0.369785	+	0.369785i	0.867399	−	0.497614i	$-0.165790\pi$
$107$	39.5670	+	39.5670i	0.369785	+	0.369785i	−0.497614	+	0.867399i	$0.665790\pi$
$108$	8.71575	−	55.0291i	0.0807014	−	0.509529i
$109$	190.485	−	61.8922i	1.74757	−	0.567819i	0.751771	−	0.659424i	$-0.229200\pi$
$109$	190.485	−	61.8922i	1.74757	−	0.567819i	0.995795	+	0.0916057i	$0.0291999\pi$
$110$	81.2641	+	111.359i	0.738764	+	1.01235i
$111$	64.4448	−	198.341i	0.580584	−	1.78685i
$112$	−78.5515	+	154.166i	−0.701353	+	1.37648i
$113$	−142.279	−	72.4950i	−1.25911	−	0.641548i	−0.308290	−	0.951293i	$-0.599757\pi$
$113$	−142.279	−	72.4950i	−1.25911	−	0.641548i	−0.950820	+	0.309744i	$0.899757\pi$
$114$	24.6755	+	8.01757i	0.216452	+	0.0703295i
$115$	−147.729	−	106.859i	−1.28460	−	0.929208i
$116$	−15.1612	−	46.6615i	−0.130700	−	0.402254i
$117$	−51.6675	−	8.18333i	−0.441603	−	0.0699430i
$118$	−0.982957	+	0.982957i	−0.00833015	+	0.00833015i
$119$	3.18771	+	4.38751i	0.0267875	+	0.0368699i
$120$	−18.7805	−	36.6686i	−0.156504	−	0.305572i
$121$	11.8651	+	8.62049i	0.0980586	+	0.0712438i
$122$	10.0768	+	63.6224i	0.0825967	+	0.521495i
$123$	−4.30211	−	8.44337i	−0.0349765	−	0.0686453i
$124$			58.7920i			0.474129i
$125$	−18.7775	+	123.582i	−0.150220	+	0.988653i
$126$	−101.897			−0.808710
$127$	215.891	−	110.002i	1.69993	−	0.866157i	0.713766	−	0.700384i	$-0.246988\pi$
$127$	215.891	−	110.002i	1.69993	−	0.866157i	0.986164	−	0.165773i	$-0.0530119\pi$
$128$	70.2853	−	11.1321i	0.549104	−	0.0869695i
$129$	23.3761	−	32.1745i	0.181210	−	0.249415i
$130$	−151.288	+	77.4850i	−1.16375	+	0.596038i
$131$	−43.7237	+	31.7672i	−0.333769	+	0.242497i	−0.742028	−	0.670369i	$-0.766136\pi$
$131$	−43.7237	+	31.7672i	−0.333769	+	0.242497i	0.408259	+	0.912866i	$0.366136\pi$
$132$	−83.1519	−	83.1519i	−0.629938	−	0.629938i
$133$	−3.88269	+	24.5143i	−0.0291932	+	0.184318i
$134$	−17.2875	+	5.61704i	−0.129011	+	0.0419182i
$135$	−51.8475	+	71.6774i	−0.384056	+	0.530944i
$136$	0.411662	−	1.26697i	0.00302693	−	0.00931593i
$137$	69.6488	−	136.693i	0.508385	−	0.997762i	−0.484056	−	0.875037i	$-0.660837\pi$
$137$	69.6488	−	136.693i	0.508385	−	0.997762i	0.992441	−	0.122725i	$-0.0391632\pi$
$138$	314.598	+	160.296i	2.27970	+	1.16156i
$139$	−159.568	−	51.8467i	−1.14797	−	0.372998i	−0.327592	−	0.944819i	$-0.606237\pi$
$139$	−159.568	−	51.8467i	−1.14797	−	0.372998i	−0.820378	+	0.571821i	$0.806237\pi$
$140$	−117.809	+	85.9713i	−0.841495	+	0.614081i
$141$	43.9170	+	135.163i	0.311468	+	0.958600i
$142$	−261.986	−	41.4945i	−1.84497	−	0.292215i
$143$	92.7077	−	92.7077i	0.648306	−	0.648306i
$144$	45.1743	+	62.1771i	0.313710	+	0.431785i
$145$	−12.0251	+	76.9676i	−0.0829321	+	0.530811i
$146$	−130.164	−	94.5697i	−0.891535	−	0.647738i
$147$	−20.8461	−	131.617i	−0.141810	−	0.895353i
$148$	82.3297	+	161.581i	0.556282	+	1.09176i
$149$			239.699i			1.60872i	0.594144	+	0.804359i	$0.297491\pi$
$149$			239.699i			1.60872i	−0.594144	+	0.804359i	$0.702509\pi$
$150$	−1.01482	−	242.066i	−0.00676547	−	1.61377i
$151$	−69.4171			−0.459716			−0.229858	−	0.973224i	$-0.573826\pi$
$151$	−69.4171			−0.459716			−0.229858	+	0.973224i	$0.573826\pi$
$152$	5.43224	−	2.76787i	0.0357384	−	0.0182096i
$153$	2.37928	−	0.376841i	0.0155509	−	0.00246301i
$154$	150.112	−	206.612i	0.974754	−	1.34163i
$155$	42.2052	−	83.2634i	0.272292	−	0.537183i
$156$	117.302	−	85.2246i	0.751933	−	0.546311i
$157$	14.5029	+	14.5029i	0.0923752	+	0.0923752i	0.751784	−	0.659409i	$-0.229193\pi$
$157$	14.5029	+	14.5029i	0.0923752	+	0.0923752i	−0.659409	+	0.751784i	$0.729193\pi$
$158$	−1.62844	+	10.2816i	−0.0103066	+	0.0650731i
$159$	−136.256	+	44.2722i	−0.856955	+	0.278442i
$160$	194.357	+	62.7003i	1.21473	+	0.391877i
$161$	−104.375	+	321.234i	−0.648293	+	1.99524i
$162$	122.723	−	240.858i	0.757551	−	1.48678i
$163$	−64.6287	−	32.9299i	−0.396495	−	0.202024i	0.244363	−	0.969684i	$-0.421421\pi$
$163$	−64.6287	−	32.9299i	−0.396495	−	0.202024i	−0.640858	+	0.767660i	$0.721421\pi$
$164$	7.83691	+	2.54637i	0.0477860	+	0.0155266i
$165$	58.0703	+	177.455i	0.351941	+	1.07549i
$166$	−54.7114	−	168.384i	−0.329587	−	1.01436i
$167$	−29.8337	−	4.72519i	−0.178645	−	0.0282945i	0.0664711	−	0.997788i	$-0.478826\pi$
$167$	−29.8337	−	4.72519i	−0.178645	−	0.0282945i	−0.245116	+	0.969494i	$0.578826\pi$
$168$	−53.9674	+	53.9674i	−0.321234	+	0.321234i
$169$	−4.31711	−	5.94199i	−0.0255450	−	0.0351597i
$170$	5.52319	−	5.54639i	0.0324893	−	0.0326258i
$171$	8.91914	+	6.48014i	0.0521587	+	0.0378955i
$172$	5.40992	+	34.1569i	0.0314530	+	0.198586i
$173$	−86.0843	−	168.950i	−0.497597	−	0.976589i	−0.994091	−	0.108549i	$-0.965380\pi$
$173$	−86.0843	−	168.950i	−0.497597	−	0.976589i	0.496494	−	0.868040i	$-0.334620\pi$
$174$		−	150.859i		−	0.867008i
$175$	228.562	−	37.1836i	1.30607	−	0.212478i
$176$	−192.622			−1.09444
$177$	−1.67757	+	0.854764i	−0.00947779	+	0.00482917i
$178$	137.562	−	21.7877i	0.772819	−	0.122403i
$179$	−160.661	+	221.131i	−0.897547	+	1.23537i	0.0736967	+	0.997281i	$0.476520\pi$
$179$	−160.661	+	221.131i	−0.897547	+	1.23537i	−0.971244	+	0.238087i	$0.923480\pi$
$180$	10.2681	+	63.9624i	0.0570452	+	0.355347i
$181$	226.401	−	164.490i	1.25083	−	0.908784i	0.252564	−	0.967580i	$-0.418726\pi$
$181$	226.401	−	164.490i	1.25083	−	0.908784i	0.998270	+	0.0587961i	$0.0187262\pi$
$182$	222.659	+	222.659i	1.22340	+	1.22340i
$183$	−13.6481	+	86.1707i	−0.0745798	+	0.470878i
$184$	78.9077	−	25.6387i	0.428846	−	0.139341i
$185$	−0.603567	−	287.939i	−0.00326252	−	1.55643i
$186$	−55.8625	+	171.927i	−0.300336	+	0.924339i
$187$	−2.74098	+	5.37948i	−0.0146577	+	0.0287673i
$188$	−110.112	−	56.1049i	−0.585703	−	0.298430i
$189$	155.861	+	50.6424i	0.824663	+	0.267949i
$190$	35.8225	−	0.0750896i	0.188539	−	0.000395208i
$191$	−35.4690	−	109.162i	−0.185701	−	0.571530i	0.814258	−	0.580503i	$-0.197144\pi$
$191$	−35.4690	−	109.162i	−0.185701	−	0.571530i	−0.999960	+	0.00897264i	$0.997144\pi$
$192$	−123.359	−	19.5382i	−0.642495	−	0.101761i
$193$	−53.7649	+	53.7649i	−0.278575	+	0.278575i	−0.832540	−	0.553965i	$-0.813114\pi$
$193$	−53.7649	+	53.7649i	−0.278575	+	0.278575i	0.553965	+	0.832540i	$0.313114\pi$
$194$	−6.13142	−	8.43918i	−0.0316053	−	0.0435009i
$195$	−227.307	+	36.4905i	−1.16568	+	0.187131i
$196$	93.7461	+	68.1106i	0.478297	+	0.347503i
$197$	24.8752	+	157.056i	0.126270	+	0.797239i	0.966811	+	0.255491i	$0.0822372\pi$
$197$	24.8752	+	157.056i	0.126270	+	0.797239i	−0.840541	+	0.541748i	$0.817763\pi$
$198$	−51.5002	−	101.075i	−0.260102	−	0.510479i
$199$			131.741i			0.662017i	0.943628	+	0.331008i	$0.107389\pi$
$199$			131.741i			0.662017i	−0.943628	+	0.331008i	$0.892611\pi$
$200$	−40.3900	−	40.0527i	−0.201950	−	0.200264i
$201$	−24.6193			−0.122484
$202$	−183.145	+	93.3171i	−0.906659	+	0.461966i
$203$	142.539	−	22.5759i	0.702160	−	0.111211i
$204$	−3.92458	+	5.40172i	−0.0192381	+	0.0264790i
$205$	−9.27096	−	9.23217i	−0.0452242	−	0.0450350i
$206$	161.350	−	117.228i	0.783252	−	0.569066i
$207$	106.088	+	106.088i	0.512501	+	0.512501i
$208$	37.1533	−	234.577i	0.178622	−	1.12777i
$209$	−26.2788	+	8.53849i	−0.125736	+	0.0408540i
$210$	−426.201	+	139.469i	−2.02953	+	0.664140i
$211$	−43.4315	+	133.668i	−0.205836	+	0.633499i	0.793842	+	0.608124i	$0.208078\pi$
$211$	−43.4315	+	133.668i	−0.205836	+	0.633499i	−0.999678	+	0.0253746i	$0.991922\pi$
$212$	56.5587	−	111.003i	0.266786	−	0.523598i
$213$	−320.102	−	163.100i	−1.50283	−	0.765728i
$214$	−142.291	−	46.2332i	−0.664913	−	0.216043i
$215$	16.8586	−	52.2579i	0.0784121	−	0.243060i
$216$	−12.4398	−	38.2857i	−0.0575916	−	0.177249i
$217$	−170.804	−	27.0527i	−0.787115	−	0.124667i
$218$	−378.671	+	378.671i	−1.73702	+	1.73702i
$219$	−128.086	−	176.295i	−0.584868	−	0.805002i
$220$	−144.819	−	73.4072i	−0.658270	−	0.333669i
$221$	−6.02249	−	4.37559i	−0.0272511	−	0.0197991i
$222$	87.2292	+	550.743i	0.392924	+	2.48083i
$223$	152.112	+	298.537i	0.682116	+	1.33873i	0.929143	+	0.369720i	$0.120546\pi$
$223$	152.112	+	298.537i	0.682116	+	1.33873i	−0.247027	+	0.969009i	$0.579454\pi$
$224$		−	378.326i		−	1.68896i
$225$	31.3748	−	97.9572i	0.139444	−	0.435365i
$226$	426.958			1.88919
$227$	−11.3192	+	5.76744i	−0.0498645	+	0.0254072i	−0.478745	−	0.877954i	$-0.658908\pi$
$227$	−11.3192	+	5.76744i	−0.0498645	+	0.0254072i	0.428880	+	0.903361i	$0.358908\pi$
$228$	−30.1810	+	4.78020i	−0.132373	+	0.0209658i
$229$	235.268	−	323.818i	1.02737	−	1.41405i	0.120465	−	0.992718i	$-0.461562\pi$
$229$	235.268	−	323.818i	1.02737	−	1.41405i	0.906905	−	0.421335i	$-0.138438\pi$
$230$	481.653	+	75.2518i	2.09415	+	0.327182i
$231$	279.837	−	203.313i	1.21141	−	0.880144i
$232$	−25.0666	−	25.0666i	−0.108046	−	0.108046i
$233$	31.0191	−	195.847i	0.133129	−	0.840546i	−0.827247	−	0.561839i	$-0.810094\pi$
$233$	31.0191	−	195.847i	0.133129	−	0.840546i	0.960376	−	0.278707i	$-0.0899059\pi$
$234$	133.023	−	43.2219i	0.568475	−	0.184709i
$235$	115.669	+	158.504i	0.492207	+	0.674487i
$236$	0.505925	−	1.55708i	0.00214375	−	0.00659778i
$237$	−6.40082	+	12.5623i	−0.0270077	+	0.0530055i
$238$	−12.9201	−	6.58311i	−0.0542861	−	0.0276601i
$239$	403.358	+	131.059i	1.68769	+	0.548364i	0.986379	−	0.164489i	$-0.0525976\pi$
$239$	403.358	+	131.059i	1.68769	+	0.548364i	0.701313	+	0.712853i	$0.252598\pi$
$240$	274.051	+	198.233i	1.14188	+	0.825973i
$241$	84.5835	+	260.321i	0.350969	+	1.08017i	0.958310	+	0.285730i	$0.0922360\pi$
$241$	84.5835	+	260.321i	0.350969	+	1.08017i	−0.607341	+	0.794441i	$0.707764\pi$
$242$	−38.7309	−	6.13437i	−0.160045	−	0.0253486i
$243$	146.294	−	146.294i	0.602034	−	0.602034i
$244$	−44.5926	−	61.3764i	−0.182756	−	0.251543i
$245$	−83.8720	−	163.759i	−0.342335	−	0.668402i
$246$	20.4982	+	14.8928i	0.0833261	+	0.0605399i
$247$	−5.32955	−	33.6494i	−0.0215771	−	0.136233i
$248$	19.2851	+	37.8492i	0.0777626	+	0.152618i
$249$		−	239.798i		−	0.963044i
$250$	−105.277	−	317.207i	−0.421107	−	1.26883i
$251$	26.5983			0.105969			0.0529847	−	0.998595i	$-0.483127\pi$
$251$	26.5983			0.105969			0.0529847	+	0.998595i	$0.483127\pi$
$252$	106.930	−	54.4834i	0.424324	−	0.216204i
$253$	−371.393	+	58.8229i	−1.46796	+	0.232501i
$254$	−380.799	+	524.125i	−1.49921	+	2.06349i
$255$	9.43589	−	4.83277i	0.0370035	−	0.0189520i
$256$	−265.539	+	192.925i	−1.03726	+	0.753615i
$257$	−337.671	−	337.671i	−1.31390	−	1.31390i	−0.918520	−	0.395376i	$-0.870614\pi$
$257$	−337.671	−	337.671i	−1.31390	−	1.31390i	−0.395376	−	0.918520i	$-0.629386\pi$
$258$	−16.6345	+	105.026i	−0.0644749	+	0.407079i
$259$	−507.313	+	164.836i	−1.95874	+	0.636432i
$260$	117.329	−	162.203i	0.451265	−	0.623859i
$261$	19.8089	−	60.9655i	0.0758961	−	0.233584i
$262$	65.6040	−	128.755i	0.250397	−	0.491431i
$263$	200.339	+	102.078i	0.761744	+	0.388128i	0.791294	−	0.611436i	$-0.209408\pi$
$263$	200.339	+	102.078i	0.761744	+	0.388128i	−0.0295507	+	0.999563i	$0.509408\pi$
$264$	−80.8074	−	26.2559i	−0.306089	−	0.0994543i
$265$	−159.787	+	116.604i	−0.602968	+	0.440016i
$266$	−20.5072	−	63.1147i	−0.0770947	−	0.237273i
$267$	186.315	+	29.5094i	0.697809	+	0.110522i
$268$	15.1378	−	15.1378i	0.0564845	−	0.0564845i
$269$	−25.7782	−	35.4806i	−0.0958297	−	0.131898i	0.758410	−	0.651778i	$-0.225977\pi$
$269$	−25.7782	−	35.4806i	−0.0958297	−	0.131898i	−0.854239	+	0.519880i	$0.825977\pi$
$270$	36.5119	−	233.696i	0.135229	−	0.865542i
$271$	−281.141	−	204.261i	−1.03742	−	0.753731i	−0.0676411	−	0.997710i	$-0.521547\pi$
$271$	−281.141	−	204.261i	−1.03742	−	0.753731i	−0.969781	+	0.243979i	$0.921547\pi$
$272$	1.71091	+	10.8022i	0.00629010	+	0.0397141i
$273$	193.621	+	380.003i	0.709235	+	1.39195i
$274$			410.195i			1.49706i
$275$	152.402	+	207.924i	0.554188	+	0.756088i
$276$	−415.842			−1.50668
$277$	184.061	−	93.7837i	0.664480	−	0.338569i	−0.0890082	−	0.996031i	$-0.528370\pi$
$277$	184.061	−	93.7837i	0.664480	−	0.338569i	0.753488	+	0.657461i	$0.228370\pi$
$278$	443.081	−	70.1771i	1.59382	−	0.252436i
$279$	−45.1504	+	62.1442i	−0.161829	+	0.222739i
$280$	−47.6429	+	93.9910i	−0.170153	+	0.335682i
$281$	−150.952	+	109.673i	−0.537197	+	0.390296i	−0.823043	−	0.567979i	$-0.807725\pi$
$281$	−150.952	+	109.673i	−0.537197	+	0.390296i	0.285846	+	0.958276i	$0.407725\pi$
$282$	−268.695	−	268.695i	−0.952818	−	0.952818i
$283$	1.96244	−	12.3904i	0.00693443	−	0.0437823i	−0.983978	−	0.178287i	$-0.942944\pi$
$283$	1.96244	−	12.3904i	0.00693443	−	0.0437823i	0.990913	+	0.134505i	$0.0429444\pi$
$284$	297.110	−	96.5370i	1.04616	−	0.339919i
$285$	46.1751	+	14.8963i	0.162018	+	0.0522676i
$286$	−108.327	+	333.396i	−0.378766	+	1.16572i
$287$	−11.0039	+	21.5963i	−0.0383410	+	0.0752484i
$288$	−149.731	−	76.2919i	−0.519901	−	0.264903i
$289$	−274.529	−	89.2000i	−0.949928	−	0.308650i
$290$	−64.7803	−	197.960i	−0.223380	−	0.682622i
$291$	−4.36591	−	13.4369i	−0.0150031	−	0.0461749i
$292$	187.157	+	29.6428i	0.640950	+	0.101517i
$293$	253.361	−	253.361i	0.864714	−	0.864714i	−0.127167	−	0.991881i	$-0.540589\pi$
$293$	253.361	−	253.361i	0.864714	−	0.864714i	0.991881	+	0.127167i	$0.0405885\pi$
$294$	209.428	+	288.253i	0.712339	+	0.980451i
$295$	−1.83429	+	1.84200i	−0.00621794	+	0.00624406i
$296$	106.005	+	77.0169i	0.358124	+	0.260192i
$297$	28.5406	+	180.198i	0.0960963	+	0.606728i
$298$	−290.962	−	571.045i	−0.976383	−	1.91626i
$299$		−	463.631i		−	1.55061i
$300$	130.495	+	253.478i	0.434982	+	0.844925i
$301$	−101.723			−0.337949
$302$	165.375	−	84.2630i	0.547601	−	0.279016i
$303$	−274.969	+	43.5509i	−0.907489	+	0.143732i
$304$	−29.4206	+	40.4940i	−0.0967784	+	0.133204i
$305$	19.0932	+	118.935i	0.0626005	+	0.389952i
$306$	−5.21083	+	3.78589i	−0.0170289	+	0.0123722i
$307$	385.809	+	385.809i	1.25671	+	1.25671i	0.952655	+	0.304053i	$0.0983401\pi$
$307$	385.809	+	385.809i	1.25671	+	1.25671i	0.304053	+	0.952655i	$0.401660\pi$
$308$	−47.0526	+	297.078i	−0.152768	+	0.964539i
$309$	256.902	−	83.4725i	0.831398	−	0.270138i
$310$	0.523187	+	249.593i	0.00168770	+	0.805140i
$311$	56.4903	−	173.859i	0.181641	−	0.559033i	−0.818234	−	0.574886i	$-0.805046\pi$
$311$	56.4903	−	173.859i	0.181641	−	0.559033i	0.999874	+	0.0158533i	$0.00504647\pi$
$312$	47.5610	−	93.3437i	0.152439	−	0.299178i
$313$	432.433	+	220.336i	1.38158	+	0.703948i	0.977531	−	0.210791i	$-0.0676038\pi$
$313$	432.433	+	220.336i	1.38158	+	0.703948i	0.404045	+	0.914739i	$0.367604\pi$
$314$	−52.1555	−	16.9464i	−0.166100	−	0.0539693i
$315$	−190.550	+	0.399423i	−0.604921	+	0.00126801i
$316$	−3.78857	−	11.6600i	−0.0119891	−	0.0368988i
$317$	−278.457	−	44.1033i	−0.878415	−	0.139127i	−0.299091	−	0.954225i	$-0.596683\pi$
$317$	−278.457	−	44.1033i	−0.878415	−	0.139127i	−0.579324	+	0.815097i	$0.696683\pi$
$318$	270.868	−	270.868i	0.851786	−	0.851786i
$319$	94.4343	+	129.978i	0.296032	+	0.407453i
$320$	−170.264	+	27.3331i	−0.532075	+	0.0854160i
$321$	−163.938	−	119.108i	−0.510710	−	0.371053i
$322$	−141.277	−	891.987i	−0.438748	−	2.77015i
$323$	0.712251	+	1.39787i	0.00220511	+	0.00432777i
$324$			318.371i			0.982628i
$325$	−282.607	+	145.491i	−0.869561	+	0.447665i
$326$	193.940			0.594909
$327$	−646.262	+	329.287i	−1.97633	+	1.00699i
$328$	5.88053	−	0.931384i	0.0179284	−	0.00283959i
$329$	213.665	−	294.084i	0.649436	−	0.893873i
$330$	−353.750	−	352.270i	−1.07197	−	1.06749i
$331$	172.973	−	125.672i	0.522576	−	0.379674i	−0.294997	−	0.955498i	$-0.595319\pi$
$331$	172.973	−	125.672i	0.522576	−	0.379674i	0.817573	+	0.575824i	$0.195319\pi$
$332$	147.446	+	147.446i	0.444116	+	0.444116i
$333$	−37.0653	+	234.021i	−0.111307	+	0.702765i
$334$	76.8098	−	24.9570i	0.229969	−	0.0747216i
$335$	−32.3058	+	10.5717i	−0.0964353	+	0.0315574i
$336$	193.626	−	595.919i	0.576268	−	1.77357i
$337$	38.2515	−	75.0727i	0.113506	−	0.222768i	−0.827264	−	0.561813i	$-0.810104\pi$
$337$	38.2515	−	75.0727i	0.113506	−	0.222768i	0.940770	+	0.339045i	$0.110104\pi$
$338$	17.4976	+	8.91548i	0.0517681	+	0.0263771i
$339$	549.973	+	178.697i	1.62234	+	0.527130i
$340$	−2.83036	+	8.77348i	−0.00832458	+	0.0258044i
$341$	−59.4920	−	183.098i	−0.174463	−	0.536943i
$342$	−29.1145	−	4.61128i	−0.0851301	−	0.0134833i
$343$	79.9229	−	79.9229i	0.233011	−	0.233011i
$344$	14.6871	+	20.2150i	0.0426949	+	0.0587645i
$345$	588.932	+	298.522i	1.70705	+	0.865282i
$346$	410.165	+	298.002i	1.18545	+	0.861278i
$347$	−22.5157	−	142.159i	−0.0648868	−	0.409679i	−0.998657	−	0.0518065i	$-0.983502\pi$
$347$	−22.5157	−	142.159i	−0.0648868	−	0.409679i	0.933770	−	0.357873i	$-0.116498\pi$
$348$	80.6627	+	158.310i	0.231789	+	0.454912i
$349$			593.244i			1.69984i	0.526913	+	0.849919i	$0.323349\pi$
$349$			593.244i			1.69984i	−0.526913	+	0.849919i	$0.676651\pi$
$350$	−499.379	+	366.028i	−1.42680	+	1.04580i
$351$	−224.952			−0.640889
$352$	375.272	−	191.211i	1.06611	−	0.543212i
$353$	23.8928	−	3.78424i	0.0676849	−	0.0107202i	−0.122500	−	0.992468i	$-0.539091\pi$
$353$	23.8928	−	3.78424i	0.0676849	−	0.0107202i	0.190185	+	0.981748i	$0.439091\pi$
$354$	2.95898	−	4.07268i	0.00835870	−	0.0115048i
$355$	−490.080	−	76.5684i	−1.38051	−	0.215686i
$356$	−132.706	+	96.4163i	−0.372769	+	0.270832i
$357$	−13.8873	−	13.8873i	−0.0389001	−	0.0389001i
$358$	114.327	−	721.831i	0.319348	−	2.01629i
$359$	−35.0590	+	11.3914i	−0.0976575	+	0.0317308i	−0.357438	−	0.933937i	$-0.616350\pi$
$359$	−35.0590	+	11.3914i	−0.0976575	+	0.0317308i	0.259781	+	0.965668i	$0.416350\pi$
$360$	27.5916	+	37.8097i	0.0766433	+	0.105027i
$361$	109.336	−	336.503i	0.302871	−	0.932141i
$362$	−339.696	+	666.692i	−0.938388	+	1.84169i
$363$	−47.3225	−	24.1120i	−0.130365	−	0.0664243i
$364$	−352.709	−	114.602i	−0.968980	−	0.314841i
$365$	−243.780	−	176.337i	−0.667889	−	0.483114i
$366$	−72.0852	−	221.855i	−0.196954	−	0.606162i
$367$	235.695	+	37.3305i	0.642221	+	0.101718i	0.469047	−	0.883173i	$-0.344598\pi$
$367$	235.695	+	37.3305i	0.642221	+	0.101718i	0.173175	+	0.984891i	$0.444598\pi$
$368$	−481.652	+	481.652i	−1.30884	+	1.30884i
$369$	6.32823	+	8.71006i	0.0171497	+	0.0236045i
$370$	350.958	+	685.238i	0.948534	+	1.85200i
$371$	296.463	+	215.393i	0.799091	+	0.580574i
$372$	−33.3061	−	210.287i	−0.0895326	−	0.565286i
$373$	−150.764	−	295.891i	−0.404193	−	0.793274i	0.595758	−	0.803164i	$-0.296852\pi$
$373$	−150.764	−	295.891i	−0.404193	−	0.793274i	−0.999951	+	0.00988999i	$0.996852\pi$
$374$		−	16.1430i		−	0.0431630i
$375$	−2.84659	−	452.663i	−0.00759092	−	1.20710i
$376$	−89.2919			−0.237478
$377$	−176.503	+	89.9325i	−0.468176	+	0.238548i
$378$	−432.789	+	68.5470i	−1.14494	+	0.181341i
$379$	303.312	−	417.473i	0.800296	−	1.10151i	−0.192453	−	0.981306i	$-0.561644\pi$
$379$	303.312	−	417.473i	0.800296	−	1.10151i	0.992749	−	0.120206i	$-0.0383556\pi$
$380$	−37.5514	+	19.2327i	−0.0988195	+	0.0506122i
$381$	−709.880	+	515.758i	−1.86320	+	1.35370i
$382$	217.007	+	217.007i	0.568082	+	0.568082i
$383$	−91.6131	+	578.423i	−0.239199	+	1.51024i	0.517049	+	0.855956i	$0.327031\pi$
$383$	−91.6131	+	578.423i	−0.239199	+	1.51024i	−0.756248	+	0.654286i	$0.772969\pi$
$384$	−245.089	+	79.6344i	−0.638254	+	0.207381i
$385$	279.902	−	386.955i	0.727018	−	1.00508i
$386$	62.8232	−	193.350i	0.162754	−	0.500907i
$387$	−20.5130	+	40.2591i	−0.0530053	+	0.104029i
$388$	10.9465	+	5.57754i	0.0282128	+	0.0143751i
$389$	−268.058	−	87.0975i	−0.689096	−	0.223901i	−0.0565228	−	0.998401i	$-0.518001\pi$
$389$	−268.058	−	87.0975i	−0.689096	−	0.223901i	−0.632573	+	0.774500i	$0.718001\pi$
$390$	497.230	−	362.853i	1.27495	−	0.930393i
$391$	6.59756	+	20.3052i	0.0168736	+	0.0519315i
$392$	82.6939	+	13.0974i	0.210954	+	0.0334118i
$393$	138.394	−	138.394i	0.352148	−	0.352148i
$394$	−249.906	−	343.967i	−0.634280	−	0.873012i
$395$	−3.00490	+	19.2331i	−0.00760735	+	0.0486913i
$396$	108.087	+	78.5298i	0.272947	+	0.198308i
$397$	91.6244	+	578.494i	0.230792	+	1.45716i	0.782252	+	0.622962i	$0.214071\pi$
$397$	91.6244	+	578.494i	0.230792	+	1.45716i	−0.551460	+	0.834201i	$0.685929\pi$
$398$	−159.916	−	313.853i	−0.401800	−	0.788576i
$399$		−	89.8822i		−	0.225269i
$400$	444.738	+	142.446i	1.11184	+	0.356114i
$401$	209.284			0.521904			0.260952	−	0.965352i	$-0.415963\pi$
$401$	209.284			0.521904			0.260952	+	0.965352i	$0.415963\pi$
$402$	58.6516	−	29.8845i	0.145899	−	0.0743395i
$403$	234.453	−	37.1337i	0.581769	−	0.0921431i
$404$	142.294	−	195.851i	0.352213	−	0.484780i
$405$	228.550	−	450.890i	0.564322	−	1.11331i
$406$	−312.172	+	226.806i	−0.768896	+	0.558636i
$407$	−419.907	−	419.907i	−1.03171	−	1.03171i
$408$	−0.754683	+	4.76488i	−0.00184971	+	0.0116786i
$409$	−389.688	+	126.617i	−0.952782	+	0.309578i	−0.743846	−	0.668351i	$-0.767000\pi$
$409$	−389.688	+	126.617i	−0.952782	+	0.309578i	−0.208937	+	0.977929i	$0.567000\pi$
$410$	33.2932	+	10.7405i	0.0812030	+	0.0261964i
$411$	−171.681	+	528.380i	−0.417716	+	1.28560i
$412$	−106.638	+	209.289i	−0.258830	+	0.507983i
$413$	4.29086	+	2.18630i	0.0103895	+	0.00529371i
$414$	−381.514	−	123.961i	−0.921531	−	0.299424i
$415$	−102.971	−	314.667i	−0.248123	−	0.758234i
$416$	160.475	+	493.890i	0.385757	+	1.18724i
$417$	600.112	+	95.0485i	1.43912	+	0.227934i
$418$	52.2405	−	52.2405i	0.124977	−	0.124977i
$419$	169.332	+	233.065i	0.404134	+	0.556242i	0.961775	−	0.273840i	$-0.0882937\pi$
$419$	169.332	+	233.065i	0.404134	+	0.556242i	−0.557642	+	0.830082i	$0.688294\pi$
$420$	372.676	−	374.241i	0.887323	−	0.891051i
$421$	266.227	+	193.425i	0.632368	+	0.459442i	0.857220	−	0.514951i	$-0.172190\pi$
$421$	266.227	+	193.425i	0.632368	+	0.459442i	−0.224852	+	0.974393i	$0.572190\pi$
$422$	−58.7866	−	371.164i	−0.139305	−	0.879535i
$423$	−73.3037	−	143.867i	−0.173295	−	0.340110i
$424$		−	90.0142i		−	0.212298i
$425$	10.3067	−	10.3935i	0.0242511	−	0.0244553i
$426$	960.575			2.25487
$427$	198.831	−	101.310i	0.465647	−	0.237259i
$428$	174.039	−	27.5650i	0.406632	−	0.0644042i
$429$	−279.076	+	384.116i	−0.650528	+	0.895375i
$430$	23.2710	+	144.960i	0.0541187	+	0.337117i
$431$	−264.075	+	191.862i	−0.612703	+	0.445155i	−0.850365	−	0.526193i	$-0.823619\pi$
$431$	−264.075	+	191.862i	−0.612703	+	0.445155i	0.237662	+	0.971348i	$0.423619\pi$
$432$	233.695	+	233.695i	0.540962	+	0.540962i
$433$	−34.0136	+	214.753i	−0.0785532	+	0.495966i	0.916774	+	0.399406i	$0.130784\pi$
$433$	−34.0136	+	214.753i	−0.0785532	+	0.495966i	−0.995327	+	0.0965593i	$0.969216\pi$
$434$	439.752	−	142.884i	1.01325	−	0.329226i
$435$	−0.591346	−	282.109i	−0.00135942	−	0.648527i
$436$	194.901	−	599.843i	0.447020	−	1.37579i
$437$	−44.3596	+	87.0606i	−0.101509	+	0.199223i
$438$	519.144	+	264.517i	1.18526	+	0.603920i
$439$	−221.343	−	71.9188i	−0.504199	−	0.163824i	0.0458635	−	0.998948i	$-0.485396\pi$
$439$	−221.343	−	71.9188i	−0.504199	−	0.163824i	−0.550062	+	0.835124i	$0.685396\pi$
$440$	−117.311	+	0.245903i	−0.266617	+	0.000558871i
$441$	46.7846	+	143.988i	0.106088	+	0.326504i
$442$	19.6590	+	3.11368i	0.0444774	+	0.00704453i
$443$	−211.710	+	211.710i	−0.477901	+	0.477901i	−0.904460	−	0.426559i	$-0.859726\pi$
$443$	−211.710	+	211.710i	−0.477901	+	0.477901i	0.426559	+	0.904460i	$0.359726\pi$
$444$	−386.013	−	531.301i	−0.869398	−	1.19662i
$445$	257.157	−	41.2825i	0.577882	−	0.0927696i
$446$	−724.766	−	526.573i	−1.62504	−	1.18066i
$447$	−135.791	−	857.353i	−0.303784	−	1.91802i
$448$	145.031	+	284.640i	0.323731	+	0.635357i
$449$		−	184.740i		−	0.411448i	−0.978610	−	0.205724i	$-0.934045\pi$
$449$		−	184.740i		−	0.411448i	0.978610	−	0.205724i	$-0.0659549\pi$
$450$	44.1612	+	271.453i	0.0981360	+	0.603228i
$451$	−26.9834			−0.0598302
$452$	−448.043	+	228.289i	−0.991245	+	0.505065i
$453$	248.290	−	39.3253i	0.548102	−	0.0868109i
$454$	19.9654	−	27.4800i	0.0439767	−	0.0605287i
$455$	417.249	+	415.504i	0.917032	+	0.913195i
$456$	−17.8620	+	12.9775i	−0.0391710	+	0.0284594i
$457$	−307.584	−	307.584i	−0.673051	−	0.673051i	0.285367	−	0.958418i	$-0.407884\pi$
$457$	−307.584	−	307.584i	−0.673051	−	0.673051i	−0.958418	+	0.285367i	$0.907884\pi$
$458$	−167.417	+	1057.03i	−0.365539	+	2.30792i
$459$	9.85200	−	3.20111i	0.0214641	−	0.00697410i
$460$	−545.676	+	178.566i	−1.18625	+	0.388188i
$461$	216.873	−	667.468i	0.470441	−	1.44787i	−0.381567	−	0.924341i	$-0.624616\pi$
$461$	216.873	−	667.468i	0.470441	−	1.44787i	0.852009	−	0.523528i	$-0.175384\pi$
$462$	−419.872	+	824.046i	−0.908815	+	1.78365i
$463$	−772.932	−	393.828i	−1.66940	−	0.850601i	−0.993529	−	0.113581i	$-0.963768\pi$
$463$	−772.932	−	393.828i	−1.66940	−	0.850601i	−0.675871	−	0.737020i	$-0.736232\pi$
$464$	276.791	+	89.9348i	0.596532	+	0.193825i
$465$	−103.790	+	321.725i	−0.223204	+	0.691882i
$466$	163.834	+	504.229i	0.351575	+	1.08204i
$467$	428.955	+	67.9398i	0.918534	+	0.145481i	0.597761	−	0.801675i	$-0.296057\pi$
$467$	428.955	+	67.9398i	0.918534	+	0.145481i	0.320773	+	0.947156i	$0.396057\pi$
$468$	−116.482	+	116.482i	−0.248894	+	0.248894i
$469$	37.0133	+	50.9444i	0.0789195	+	0.108623i
$470$	−467.965	−	237.206i	−0.995671	−	0.504694i
$471$	−60.0899	−	43.6579i	−0.127579	−	0.0926919i
$472$	−0.185052	−	1.16837i	−0.000392059	−	0.00247536i
$473$	−51.4119	−	100.901i	−0.108693	−	0.213322i
$474$		−	37.6975i		−	0.0795306i
$475$	66.9883	−	0.280837i	0.141028	−	0.000591237i
$476$	17.0780			0.0358782
$477$	145.030	−	73.8966i	0.304047	−	0.154920i
$478$	−1120.03	+	177.395i	−2.34315	+	0.371119i
$479$	−47.2284	+	65.0044i	−0.0985980	+	0.135709i	−0.855465	−	0.517860i	$-0.826729\pi$
$479$	−47.2284	+	65.0044i	−0.0985980	+	0.135709i	0.756867	+	0.653568i	$0.226729\pi$
$480$	−730.695	−	114.161i	−1.52228	−	0.237836i
$481$	592.359	−	430.374i	1.23151	−	0.894748i
$482$	−517.502	−	517.502i	−1.07366	−	1.07366i
$483$	191.347	−	1208.12i	0.396163	−	2.50127i
$484$	43.9235	−	14.2716i	0.0907511	−	0.0294868i
$485$	−11.4989	−	15.7574i	−0.0237091	−	0.0324894i
$486$	−170.942	+	526.104i	−0.351732	+	1.08252i
$487$	−213.899	+	419.801i	−0.439218	+	0.862014i	0.560215	+	0.828347i	$0.310718\pi$
$487$	−213.899	+	419.801i	−0.439218	+	0.862014i	−0.999433	+	0.0336667i	$0.989282\pi$
$488$	−48.8408	−	24.8856i	−0.100084	−	0.0509951i
$489$	249.818	+	81.1709i	0.510876	+	0.165994i
$490$	398.593	+	288.320i	0.813455	+	0.588408i
$491$	105.330	+	324.171i	0.214520	+	0.660226i	0.999187	+	0.0403083i	$0.0128340\pi$
$491$	105.330	+	324.171i	0.214520	+	0.660226i	−0.784667	+	0.619918i	$0.787166\pi$
$492$	−29.4735	−	4.66815i	−0.0599055	−	0.00948811i
$493$	6.45035	−	6.45035i	0.0130839	−	0.0130839i
$494$	53.5427	+	73.6952i	0.108386	+	0.149181i
$495$	−96.7024	−	188.810i	−0.195358	−	0.381434i
$496$	−282.142	−	204.989i	−0.568836	−	0.413283i
$497$	143.749	+	907.593i	0.289233	+	1.82614i
$498$	291.082	+	571.281i	0.584503	+	1.14715i
$499$		−	403.498i		−	0.808614i	−0.914623	−	0.404307i	$-0.867513\pi$
$499$		−	403.498i		−	0.808614i	0.914623	−	0.404307i	$-0.132487\pi$
$500$	280.083	+	276.582i	0.560166	+	0.553164i
$501$	109.386			0.218335
$502$	−63.3664	+	32.2868i	−0.126228	+	0.0643163i
$503$	217.934	−	34.5173i	0.433268	−	0.0686229i	0.0640087	−	0.997949i	$-0.479611\pi$
$503$	217.934	−	34.5173i	0.433268	−	0.0686229i	0.369259	+	0.929326i	$0.379611\pi$
$504$	50.9676	−	70.1508i	0.101126	−	0.139188i
$505$	−342.119	+	175.222i	−0.677462	+	0.346975i
$506$	813.383	−	590.957i	1.60748	−	1.16790i
$507$	18.8076	+	18.8076i	0.0370958	+	0.0370958i
$508$	119.361	−	753.618i	0.234963	−	1.48350i
$509$	207.797	−	67.5173i	0.408245	−	0.132647i	−0.0976931	−	0.995217i	$-0.531146\pi$
$509$	207.797	−	67.5173i	0.408245	−	0.132647i	0.505938	+	0.862570i	$0.331146\pi$
$510$	−16.6132	+	22.9672i	−0.0325749	+	0.0450337i
$511$	−172.238	+	530.095i	−0.337061	+	1.03737i
$512$	269.194	−	528.322i	0.525769	−	1.03188i
$513$	42.2414	+	21.5231i	0.0823420	+	0.0419553i
$514$	1214.34	+	394.562i	2.36252	+	0.767630i
$515$	301.268	−	219.850i	0.584986	−	0.426893i
$516$	−38.7003	−	119.107i	−0.0750006	−	0.230828i
$517$	399.698	+	63.3060i	0.773111	+	0.122449i
$518$	1008.51	−	1008.51i	1.94692	−	1.94692i
$519$	403.617	+	555.531i	0.777682	+	1.07039i
$520$	22.3278	−	142.910i	0.0429381	−	0.274827i
$521$	−554.789	−	403.078i	−1.06485	−	0.773662i	−0.0898743	−	0.995953i	$-0.528647\pi$
$521$	−554.789	−	403.078i	−1.06485	−	0.773662i	−0.974980	+	0.222291i	$0.928647\pi$
$522$	26.8123	+	169.286i	0.0513645	+	0.324303i
$523$	103.663	+	203.451i	0.198209	+	0.389007i	0.968622	−	0.248538i	$-0.0799501\pi$
$523$	103.663	+	203.451i	0.198209	+	0.389007i	−0.770413	+	0.637545i	$0.779950\pi$
$524$			170.191i			0.324792i
$525$	−796.455	+	262.481i	−1.51706	+	0.499963i
$526$	−601.184			−1.14294
$527$	−9.73968	+	4.96262i	−0.0184814	+	0.00941673i
$528$	688.969	−	109.122i	1.30487	−	0.206670i
$529$	−470.643	+	647.784i	−0.889684	+	1.22455i
$530$	239.125	−	471.751i	0.451179	−	0.890096i
$531$	1.73056	−	1.25732i	0.00325905	−	0.00236784i
$532$	55.2666	+	55.2666i	0.103885	+	0.103885i
$533$	5.20461	−	32.8606i	0.00976475	−	0.0616522i
$534$	−479.687	+	155.860i	−0.898290	+	0.291872i
$535$	−266.268	−	85.8992i	−0.497698	−	0.160559i
$536$	4.77990	−	14.7110i	0.00891773	−	0.0274460i
$537$	449.378	−	881.954i	0.836831	−	1.64237i
$538$	104.481	+	53.2359i	0.194203	+	0.0989514i
$539$	−360.878	−	117.256i	−0.669533	−	0.217544i
$540$	86.6396	+	264.760i	0.160444	+	0.490296i
$541$	−137.435	−	422.980i	−0.254038	−	0.781849i	−0.994018	−	0.109220i	$-0.965165\pi$
$541$	−137.435	−	422.980i	−0.254038	−	0.781849i	0.739979	−	0.672629i	$-0.234835\pi$
$542$	917.721	+	145.353i	1.69321	+	0.268178i
$543$	−716.604	+	716.604i	−1.31971	+	1.31971i
$544$	−14.0563	−	19.3469i	−0.0258388	−	0.0355641i
$545$	−706.637	+	709.606i	−1.29658	+	1.30203i
$546$	−922.544	−	670.268i	−1.68964	−	1.22760i
$547$	−64.1848	−	405.247i	−0.117340	−	0.740854i	−0.974264	−	0.225411i	$-0.927627\pi$
$547$	−64.1848	−	405.247i	−0.117340	−	0.740854i	0.856924	−	0.515443i	$-0.172373\pi$
$548$	−219.326	−	430.452i	−0.400231	−	0.785497i
$549$		−	99.1217i		−	0.180550i
$550$	−615.465	−	310.352i	−1.11903	−	0.564276i
$551$	41.7482			0.0757681
$552$	−267.712	+	136.406i	−0.484985	+	0.247112i
$553$	35.6182	−	5.64137i	0.0644091	−	0.0102014i
$554$	−324.656	+	446.850i	−0.586021	+	0.806589i
$555$	165.279	+	1029.56i	0.297800	+	1.85506i
$556$	−427.439	+	310.553i	−0.768775	+	0.558548i
$557$	437.906	+	437.906i	0.786186	+	0.786186i	0.980867	−	0.194680i	$-0.0623670\pi$
$557$	437.906	+	437.906i	0.786186	+	0.786186i	−0.194680	+	0.980867i	$0.562367\pi$
$558$	32.1291	−	202.855i	0.0575791	−	0.363540i
$559$	132.795	−	43.1477i	0.237558	−	0.0771874i
$560$	−1.81343	−	865.121i	−0.00323827	−	1.54486i
$561$	6.75640	−	20.7941i	0.0120435	−	0.0370661i
$562$	226.492	−	444.515i	0.403010	−	0.790952i
$563$	−195.369	−	99.5452i	−0.347013	−	0.176812i	0.271793	−	0.962356i	$-0.412383\pi$
$563$	−195.369	−	99.5452i	−0.347013	−	0.176812i	−0.618806	+	0.785544i	$0.712383\pi$
$564$	425.632	+	138.296i	0.754666	+	0.245206i
$565$	798.418	−	1.67361i	1.41313	−	0.00296214i
$566$	10.3650	+	31.9003i	0.0183128	+	0.0563610i
$567$	−924.941	−	146.496i	−1.63129	−	0.258371i
$568$	159.608	−	159.608i	0.281000	−	0.281000i
$569$	297.903	+	410.029i	0.523556	+	0.720613i	0.986131	−	0.165967i	$-0.0530744\pi$
$569$	297.903	+	410.029i	0.523556	+	0.720613i	−0.462575	+	0.886580i	$0.653074\pi$
$570$	−128.087	+	20.5623i	−0.224714	+	0.0360742i
$571$	152.983	+	111.149i	0.267921	+	0.194656i	0.713632	−	0.700521i	$-0.247049\pi$
$571$	152.983	+	111.149i	0.267921	+	0.194656i	−0.445711	+	0.895177i	$0.647049\pi$
$572$	−64.5864	−	407.782i	−0.112913	−	0.712906i
$573$	188.706	+	370.357i	0.329330	+	0.646347i
$574$		−	64.8070i		−	0.112904i
$575$	900.995	+	138.834i	1.56695	+	0.241451i
$576$	141.899			0.246353
$577$	−334.217	+	170.292i	−0.579233	+	0.295134i	−0.718955	−	0.695057i	$-0.755379\pi$
$577$	−334.217	+	170.292i	−0.579233	+	0.295134i	0.139722	+	0.990191i	$0.455379\pi$
$578$	762.300	−	120.736i	1.31886	−	0.208887i
$579$	161.848	−	222.764i	0.279530	−	0.384740i
$580$	173.826	+	173.099i	0.299701	+	0.298447i
$581$	−496.211	+	360.519i	−0.854064	+	0.620514i
$582$	26.7117	+	26.7117i	0.0458963	+	0.0458963i
$583$	−63.8181	+	402.932i	−0.109465	+	0.691135i
$584$	130.212	−	42.3085i	0.222966	−	0.0724460i
$585$	248.586	−	81.3470i	0.424934	−	0.139055i
$586$	−296.047	+	911.140i	−0.505200	+	1.55485i
$587$	133.912	−	262.818i	0.228130	−	0.447730i	−0.748360	−	0.663293i	$-0.769158\pi$
$587$	133.912	−	262.818i	0.228130	−	0.447730i	0.976490	+	0.215562i	$0.0691585\pi$
$588$	−373.895	−	190.509i	−0.635877	−	0.323995i
$589$	−47.5784	−	15.4592i	−0.0807782	−	0.0262464i
$590$	2.13398	−	6.61486i	0.00361691	−	0.0112116i
$591$	−177.947	−	547.665i	−0.301095	−	0.926675i
$592$	−1062.48	−	168.281i	−1.79474	−	0.284258i
$593$	−482.975	+	482.975i	−0.814460	+	0.814460i	−0.985299	−	0.170839i	$-0.945352\pi$
$593$	−482.975	+	482.975i	−0.814460	+	0.814460i	0.170839	+	0.985299i	$0.445352\pi$
$594$	−286.730	−	394.650i	−0.482711	−	0.664394i
$595$	−24.1866	−	12.2599i	−0.0406497	−	0.0206048i
$596$	610.662	+	443.672i	1.02460	+	0.744417i
$597$	−74.6325	−	471.211i	−0.125013	−	0.789299i
$598$	562.786	+	1104.53i	0.941114	+	1.84704i
$599$		−	549.893i		−	0.918019i	−0.888431	−	0.459010i	$-0.848204\pi$
$599$		−	549.893i		−	0.918019i	0.888431	−	0.459010i	$-0.151796\pi$
$600$	167.157	+	120.379i	0.278594	+	0.200632i
$601$	479.442			0.797740			0.398870	−	0.917007i	$-0.369402\pi$
$601$	479.442			0.797740			0.398870	+	0.917007i	$0.369402\pi$
$602$	242.339	−	123.478i	0.402556	−	0.205112i
$603$	27.6264	−	4.37559i	0.0458149	−	0.00725636i
$604$	−128.488	+	176.849i	−0.212728	+	0.292796i
$605$	−72.4514	−	11.3195i	−0.119754	−	0.0187100i
$606$	602.207	−	437.529i	0.993741	−	0.721995i
$607$	−247.960	−	247.960i	−0.408502	−	0.408502i	0.472714	−	0.881216i	$-0.343274\pi$
$607$	−247.960	−	247.960i	−0.408502	−	0.408502i	−0.881216	+	0.472714i	$0.843274\pi$
$608$	17.1208	−	108.097i	0.0281593	−	0.177791i
$609$	−497.041	+	161.498i	−0.816159	+	0.265186i
$610$	−189.858	−	260.168i	−0.311243	−	0.426506i
$611$	−154.189	+	474.546i	−0.252355	+	0.776670i
$612$	3.44390	−	6.75903i	0.00562728	−	0.0110442i
$613$	589.854	+	300.546i	0.962242	+	0.490287i	0.863236	−	0.504800i	$-0.168434\pi$
$613$	589.854	+	300.546i	0.962242	+	0.490287i	0.0990057	+	0.995087i	$0.468434\pi$
$614$	−1387.45	−	450.810i	−2.25969	−	0.734219i
$615$	38.3904	+	27.7695i	0.0624234	+	0.0451536i
$616$	67.1570	+	206.688i	0.109021	+	0.335532i
$617$	−516.552	−	81.8137i	−0.837199	−	0.132599i	−0.276909	−	0.960896i	$-0.589310\pi$
$617$	−516.552	−	81.8137i	−0.837199	−	0.132599i	−0.560290	+	0.828297i	$0.689310\pi$
$618$	−510.705	+	510.705i	−0.826383	+	0.826383i
$619$	−646.583	−	889.945i	−1.04456	−	1.43771i	−0.893431	−	0.449201i	$-0.851709\pi$
$619$	−646.583	−	889.945i	−1.04456	−	1.43771i	−0.151130	−	0.988514i	$-0.548291\pi$
$620$	−134.004	−	261.640i	−0.216135	−	0.422000i
$621$	521.952	+	379.220i	0.840502	+	0.610660i
$622$	76.4623	+	482.764i	0.122930	+	0.776148i
$623$	−219.048	−	429.905i	−0.351601	−	0.690056i
$624$			860.080i			1.37833i
$625$	−198.113	−	592.770i	−0.316980	−	0.948432i
$626$	−1297.66			−2.07294
$627$	89.1566	−	45.4275i	0.142195	−	0.0724522i
$628$	63.7922	−	10.1037i	0.101580	−	0.0160887i
$629$	−19.8187	+	27.2780i	−0.0315082	+	0.0433673i
$630$	453.471	−	232.254i	0.719795	−	0.368656i
$631$	773.885	−	562.261i	1.22644	−	0.891063i	0.229824	−	0.973232i	$-0.426185\pi$
$631$	773.885	−	562.261i	1.22644	−	0.891063i	0.996618	+	0.0821694i	$0.0261848\pi$
$632$	−6.26377	−	6.26377i	−0.00991102	−	0.00991102i
$633$	79.6211	−	502.708i	0.125784	−	0.794167i
$634$	716.917	−	232.940i	1.13078	−	0.367414i
$635$	−710.046	+	981.616i	−1.11818	+	1.54585i
$636$	−139.415	+	429.075i	−0.219206	+	0.674646i
$637$	212.403	−	416.864i	0.333442	−	0.654417i
$638$	−382.750	−	195.021i	−0.599922	−	0.305676i
$639$	388.189	+	126.130i	0.607494	+	0.197387i
$640$	−287.415	+	209.741i	−0.449086	+	0.327720i
$641$	−14.7703	−	45.4584i	−0.0230426	−	0.0709179i	0.938874	−	0.344261i	$-0.111871\pi$
$641$	−14.7703	−	45.4584i	−0.0230426	−	0.0709179i	−0.961917	+	0.273343i	$0.911871\pi$
$642$	535.138	+	84.7575i	0.833548	+	0.132021i
$643$	508.705	−	508.705i	0.791143	−	0.791143i	−0.190537	−	0.981680i	$-0.561023\pi$
$643$	508.705	−	508.705i	0.791143	−	0.791143i	0.981680	+	0.190537i	$0.0610230\pi$
$644$	625.189	+	860.499i	0.970790	+	1.33618i
$645$	−30.6951	+	196.466i	−0.0475894	+	0.304598i
$646$	−3.39365	−	2.46563i	−0.00525334	−	0.00381677i
$647$	23.3935	+	147.701i	0.0361568	+	0.228285i	0.999149	−	0.0412437i	$-0.0131320\pi$
$647$	23.3935	+	147.701i	0.0361568	+	0.228285i	−0.962992	+	0.269529i	$0.913132\pi$
$648$	104.433	+	204.962i	0.161162	+	0.316299i
$649$			5.36120i			0.00826070i
$650$	496.661	−	689.657i	0.764094	−	1.06101i
$651$	626.255			0.961990
$652$	−203.518	+	103.698i	−0.312144	+	0.159045i
$653$	485.576	−	76.9077i	0.743609	−	0.117776i	0.226877	−	0.973923i	$-0.427148\pi$
$653$	485.576	−	76.9077i	0.743609	−	0.117776i	0.516732	+	0.856147i	$0.327148\pi$
$654$	1139.91	−	1568.95i	1.74298	−	2.39900i
$655$	122.176	−	241.031i	0.186528	−	0.367986i
$656$	−39.5448	+	28.7310i	−0.0602817	+	0.0437972i
$657$	175.064	+	175.064i	0.266460	+	0.266460i
$658$	−152.044	+	959.970i	−0.231070	+	1.45892i
$659$	−207.038	+	67.2707i	−0.314170	+	0.102080i	−0.461858	−	0.886954i	$-0.652817\pi$
$659$	−207.038	+	67.2707i	−0.314170	+	0.102080i	0.147688	+	0.989034i	$0.452817\pi$
$660$	559.575	+	180.521i	0.847841	+	0.273517i
$661$	315.065	−	969.671i	0.476650	−	1.46698i	−0.367071	−	0.930193i	$-0.619639\pi$
$661$	315.065	−	969.671i	0.476650	−	1.46698i	0.843720	−	0.536783i	$-0.180361\pi$
$662$	−259.532	+	509.360i	−0.392042	+	0.769425i
$663$	24.0200	+	12.2388i	0.0362292	+	0.0184597i
$664$	143.289	+	46.5575i	0.215797	+	0.0701167i
$665$	−38.5962	−	117.945i	−0.0580394	−	0.177361i
$666$	−195.768	−	602.511i	−0.293945	−	0.904670i
$667$	561.142	+	88.8761i	0.841292	+	0.133248i
$668$	−67.2588	+	67.2588i	−0.100687	+	0.100687i
$669$	−713.196	−	981.630i	−1.06606	−	1.46731i
$670$	64.1310	−	64.4004i	0.0957179	−	0.0961200i
$671$	200.983	+	146.023i	0.299528	+	0.217620i
$672$	214.325	+	1353.19i	0.318936	+	2.01368i
$673$	−147.992	−	290.450i	−0.219898	−	0.431575i	0.754532	−	0.656263i	$-0.227864\pi$
$673$	−147.992	−	290.450i	−0.219898	−	0.431575i	−0.974431	+	0.224688i	$0.927864\pi$
$674$			225.281i			0.334245i
$675$	67.3617	−	437.159i	0.0997951	−	0.647643i
$676$	−23.1287			−0.0342141
$677$	1132.17	−	576.870i	1.67234	−	0.852098i	0.679357	−	0.733808i	$-0.262259\pi$
$677$	1132.17	−	576.870i	1.67234	−	0.852098i	0.992979	−	0.118290i	$-0.0377412\pi$
$678$	−1527.14	+	241.875i	−2.25242	+	0.356748i
$679$	−21.2410	+	29.2357i	−0.0312828	+	0.0430570i
$680$	1.05577	+	6.57663i	0.00155261	+	0.00967152i
$681$	37.2192	−	27.0413i	0.0546538	−	0.0397083i
$682$	363.986	+	363.986i	0.533704	+	0.533704i
$683$	114.786	−	724.732i	0.168062	−	1.06110i	−0.749062	−	0.662499i	$-0.769496\pi$
$683$	114.786	−	724.732i	0.168062	−	1.06110i	0.917124	−	0.398601i	$-0.130504\pi$
$684$	33.0179	−	10.7282i	0.0482718	−	0.0156844i
$685$	1.60790	+	767.071i	0.00234730	+	1.11981i
$686$	−93.3883	+	287.420i	−0.136135	+	0.418979i
$687$	−658.058	+	1291.51i	−0.957871	+	1.87993i
$688$	−182.781	−	93.1318i	−0.265671	−	0.135366i
$689$	−478.384	−	155.436i	−0.694317	−	0.225597i
$690$	−1765.40	+	3.70057i	−2.55856	+	0.00536314i
$691$	214.098	+	658.927i	0.309838	+	0.953585i	0.977827	+	0.209413i	$0.0671554\pi$
$691$	214.098	+	658.927i	0.309838	+	0.953585i	−0.667989	+	0.744171i	$0.732845\pi$
$692$	−589.759	−	93.4086i	−0.852253	−	0.134984i
$693$	−277.882	+	277.882i	−0.400984	+	0.400984i
$694$	226.202	+	311.340i	0.325939	+	0.448617i
$695$	828.293	−	132.969i	1.19179	−	0.191322i
$696$	103.858	+	75.4575i	0.149222	+	0.108416i
$697$	0.239672	+	1.51323i	0.000343862	+	0.00217106i
$698$	−720.118	−	1413.31i	−1.03169	−	2.02480i
$699$			718.077i			1.02729i
$700$	328.329	−	651.116i	0.469042	−	0.930166i
$701$	367.187			0.523805			0.261902	−	0.965094i	$-0.415650\pi$
$701$	367.187			0.523805			0.261902	+	0.965094i	$0.415650\pi$
$702$	535.913	−	273.061i	0.763409	−	0.388976i
$703$	−152.411	+	24.1395i	−0.216800	+	0.0343378i
$704$	−209.041	+	287.721i	−0.296934	+	0.408694i
$705$	−503.516	−	501.410i	−0.714208	−	0.711220i
$706$	−52.3272	+	38.0180i	−0.0741179	+	0.0538498i
$707$	503.516	+	503.516i	0.712186	+	0.712186i
$708$	−0.927490	+	5.85594i	−0.00131001	+	0.00827111i
$709$	−227.327	+	73.8631i	−0.320631	+	0.104179i	−0.464910	−	0.885358i	$-0.653913\pi$
$709$	−227.327	+	73.8631i	−0.320631	+	0.104179i	0.144280	+	0.989537i	$0.453913\pi$
$710$	1260.48	−	412.479i	1.77533	−	0.580956i
$711$	4.94994	−	15.2343i	0.00696194	−	0.0214267i
$712$	−53.8067	+	105.602i	−0.0755712	+	0.148317i
$713$	−606.595	−	309.076i	−0.850765	−	0.433486i
$714$	49.9418	+	16.2271i	0.0699465	+	0.0227270i
$715$	−201.266	+	623.881i	−0.281492	+	0.872561i
$716$	265.982	+	818.607i	0.371483	+	1.14331i
$717$	−1516.97	−	240.265i	−2.11572	−	0.335098i
$718$	69.6951	−	69.6951i	0.0970684	−	0.0970684i
$719$	444.920	+	612.380i	0.618804	+	0.851711i	0.997265	−	0.0739064i	$-0.0235466\pi$
$719$	444.920	+	612.380i	0.618804	+	0.851711i	−0.378461	+	0.925617i	$0.623547\pi$
$720$	−342.757	−	173.739i	−0.476051	−	0.241305i
$721$	−558.962	−	406.110i	−0.775260	−	0.563259i
$722$	147.992	+	934.385i	0.204975	+	1.29416i
$723$	−450.011	−	883.197i	−0.622422	−	1.22157i
$724$		−	881.248i		−	1.21719i
$725$	−121.916	−	369.935i	−0.168160	−	0.510255i
$726$	142.007			0.195602
$727$	−1151.15	+	586.543i	−1.58343	+	0.806799i	−0.999986	−	0.00535374i	$-0.998296\pi$
$727$	−1151.15	+	586.543i	−1.58343	+	0.806799i	−0.583446	+	0.812152i	$0.698296\pi$
$728$	−264.660	+	41.9180i	−0.363543	+	0.0575796i
$729$	94.4459	−	129.994i	0.129555	−	0.178318i
$730$	794.816	+	124.179i	1.08879	+	0.170109i
$731$	−5.20190	+	3.77940i	−0.00711614	+	0.00517018i
$732$	194.268	+	194.268i	0.265394	+	0.265394i
$733$	−132.387	+	835.857i	−0.180609	+	1.14032i	0.716196	+	0.697899i	$0.245881\pi$
$733$	−132.387	+	835.857i	−0.180609	+	1.14032i	−0.896806	+	0.442424i	$0.854119\pi$
$734$	−606.822	+	197.168i	−0.826732	+	0.268622i
$735$	392.763	+	538.216i	0.534372	+	0.732267i
$736$	460.245	−	1416.49i	0.625333	−	1.92458i
$737$	−31.8261	+	62.4623i	−0.0431834	+	0.0847521i
$738$	−25.6489	−	13.0688i	−0.0347546	−	0.0177083i
$739$	−213.688	−	69.4313i	−0.289158	−	0.0939531i	0.160847	−	0.986979i	$-0.448578\pi$
$739$	−213.688	−	69.4313i	−0.289158	−	0.0939531i	−0.450004	+	0.893026i	$0.648578\pi$
$740$	−734.678	−	531.426i	−0.992808	−	0.718143i
$741$	38.1253	+	117.338i	0.0514512	+	0.158351i
$742$	−967.735	−	153.274i	−1.30422	−	0.206569i
$743$	−127.052	+	127.052i	−0.170999	+	0.170999i	−0.787418	−	0.616419i	$-0.788583\pi$
$743$	−127.052	+	127.052i	−0.170999	+	0.170999i	0.616419	+	0.787418i	$0.288583\pi$
$744$	−90.4208	−	124.454i	−0.121533	−	0.167276i
$745$	−546.342	−	1066.72i	−0.733345	−	1.43184i
$746$	718.344	+	521.908i	0.962928	+	0.699608i
$747$	42.6193	+	269.088i	0.0570540	+	0.360225i
$748$	8.63145	+	16.9402i	0.0115394	+	0.0226473i
$749$			518.305i			0.691996i
$750$	556.253	+	1074.94i	0.741671	+	1.43326i
$751$	−1293.56			−1.72245			−0.861223	−	0.508228i	$-0.830301\pi$
$751$	−1293.56			−1.72245			−0.861223	+	0.508228i	$0.830301\pi$
$752$	653.172	−	332.808i	0.868580	−	0.442564i
$753$	−95.1367	+	15.0682i	−0.126344	+	0.0200109i
$754$	311.324	−	428.501i	0.412896	−	0.568303i
$755$	308.924	−	158.221i	0.409171	−	0.209565i
$756$	417.510	−	303.339i	0.552262	−	0.401242i
$757$	−527.385	−	527.385i	−0.696678	−	0.696678i	0.267015	−	0.963692i	$-0.413963\pi$
$757$	−527.385	−	527.385i	−0.696678	−	0.696678i	−0.963692	+	0.267015i	$0.913963\pi$
$758$	−215.838	+	1362.74i	−0.284746	+	1.79782i
$759$	1295.07	−	420.794i	1.70629	−	0.554406i
$760$	−17.8662	+	24.6994i	−0.0235081	+	0.0324992i
$761$	−60.6870	+	186.775i	−0.0797463	+	0.245434i	−0.982979	−	0.183717i	$-0.941187\pi$
$761$	−60.6870	+	186.775i	−0.0797463	+	0.245434i	0.903233	+	0.429151i	$0.141187\pi$
$762$	1065.12	−	2090.41i	1.39779	−	2.74332i
$763$	1653.00	+	842.244i	2.16644	+	1.10386i
$764$	−343.756	−	111.693i	−0.449942	−	0.146195i
$765$	−9.72950	+	7.10011i	−0.0127183	+	0.00928118i
$766$	−483.873	−	1489.21i	−0.631688	−	1.94414i
$767$	−6.52891	−	1.03408i	−0.00851227	−	0.00134821i
$768$	840.484	−	840.484i	1.09438	−	1.09438i
$769$	668.490	+	920.097i	0.869297	+	1.19648i	0.979272	+	0.202551i	$0.0649230\pi$
$769$	668.490	+	920.097i	0.869297	+	1.19648i	−0.109975	+	0.993934i	$0.535077\pi$
$770$	−197.112	+	1261.62i	−0.255989	+	1.63847i
$771$	1399.07	+	1016.49i	1.81462	+	1.31840i
$772$	37.4562	+	236.489i	0.0485184	+	0.306333i
$773$	267.971	+	525.923i	0.346664	+	0.680367i	0.996842	−	0.0794158i	$-0.0253055\pi$
$773$	267.971	+	525.923i	0.346664	+	0.680367i	−0.650178	+	0.759782i	$0.725305\pi$
$774$		−	120.811i		−	0.156087i
$775$	1.95674	+	466.742i	0.00252482	+	0.602247i
$776$	8.87675			0.0114391
$777$	1721.17	−	876.980i	2.21515	−	1.12867i
$778$	744.332	−	117.891i	0.956725	−	0.151530i
$779$	−4.12138	+	5.67259i	−0.00529060	+	0.00728189i
$780$	−327.772	+	646.636i	−0.420220	+	0.829020i
$781$	−827.613	+	601.296i	−1.05968	+	0.769906i
$782$	−40.3655	−	40.3655i	−0.0516182	−	0.0516182i
$783$	43.1223	−	272.264i	0.0550732	−	0.347719i
$784$	−653.725	+	212.408i	−0.833833	+	0.270929i
$785$	−97.5981	−	31.4855i	−0.124329	−	0.0401089i
$786$	−161.711	+	497.695i	−0.205739	+	0.633200i
$787$	91.1340	−	178.861i	0.115799	−	0.227269i	−0.825831	−	0.563918i	$-0.809294\pi$
$787$	91.1340	−	178.861i	0.115799	−	0.227269i	0.941630	+	0.336649i	$0.109294\pi$
$788$	446.163	+	227.331i	0.566196	+	0.288491i
$789$	−774.397	−	251.617i	−0.981492	−	0.318906i
$790$	−16.1876	−	49.4673i	−0.0204907	−	0.0626168i
$791$	−457.068	−	1406.71i	−0.577836	−	1.77840i
$792$	95.3441	+	15.1010i	0.120384	+	0.0190669i
$793$	−216.594	+	216.594i	−0.273132	+	0.273132i
$794$	−920.495	−	1266.95i	−1.15931	−	1.59566i
$795$	505.466	−	507.589i	0.635806	−	0.638477i
$796$	335.627	+	243.848i	0.421642	+	0.306341i
$797$	−136.705	−	863.119i	−0.171524	−	1.08296i	−0.911793	−	0.410649i	$-0.865302\pi$
$797$	−136.705	−	863.119i	−0.171524	−	1.08296i	0.740270	−	0.672310i	$-0.234698\pi$
$798$	109.105	+	214.130i	0.136723	+	0.268334i
$799$		−	22.9774i		−	0.0287576i
$800$	−1007.85	+	163.962i	−1.25982	+	0.204953i
$801$	−214.317			−0.267562
$802$	−498.586	+	254.042i	−0.621678	+	0.316761i
$803$	−612.866	+	97.0685i	−0.763221	+	0.120882i
$804$	−45.5692	+	62.7206i	−0.0566781	+	0.0780107i
$805$	−267.687	−	1667.48i	−0.332530	−	2.07140i
$806$	−513.472	+	373.059i	−0.637062	+	0.462853i
$807$	112.303	+	112.303i	0.139161	+	0.139161i
$808$	27.3627	−	172.761i	0.0338647	−	0.213813i
$809$	912.596	−	296.520i	1.12805	−	0.366527i	0.315218	−	0.949019i	$-0.397922\pi$
$809$	912.596	−	296.520i	1.12805	−	0.366527i	0.812836	+	0.582492i	$0.197922\pi$
$810$	2.83318	+	1351.60i	0.00349775	+	1.66865i
$811$	−239.714	+	737.763i	−0.295578	+	0.909695i	0.687449	+	0.726233i	$0.258731\pi$
$811$	−239.714	+	737.763i	−0.295578	+	0.909695i	−0.983027	+	0.183462i	$0.941269\pi$
$812$	206.318	−	404.921i	0.254086	−	0.498672i
$813$	1121.30	+	571.330i	1.37921	+	0.702743i
$814$	1510.07	+	490.653i	1.85513	+	0.602767i
$815$	362.671	−	0.760217i	0.444996	−	0.000932781i
$816$	−12.2391	−	37.6681i	−0.0149989	−	0.0461619i
$817$	−29.0645	−	4.60337i	−0.0355747	−	0.00563448i
$818$	774.675	−	774.675i	0.947035	−	0.947035i
$819$	−284.809	−	392.006i	−0.347752	−	0.478639i
$820$	−40.6802	+	6.53056i	−0.0496100	+	0.00796409i
$821$	242.698	+	176.330i	0.295613	+	0.214775i	0.725698	−	0.688013i	$-0.241517\pi$
$821$	242.698	+	176.330i	0.295613	+	0.214775i	−0.430086	+	0.902788i	$0.641517\pi$
$822$	−232.379	−	1467.18i	−0.282699	−	1.78489i
$823$	230.679	+	452.732i	0.280290	+	0.550100i	0.987635	−	0.156768i	$-0.0501075\pi$
$823$	230.679	+	452.732i	0.280290	+	0.550100i	−0.707346	+	0.706868i	$0.750107\pi$
$824$			169.716i			0.205966i
$825$	−662.899	−	657.364i	−0.803514	−	0.796805i
$826$	−12.8762			−0.0155886
$827$	−1282.57	+	653.504i	−1.55087	+	0.790210i	−0.999043	−	0.0437453i	$-0.986071\pi$
$827$	−1282.57	+	653.504i	−1.55087	+	0.790210i	−0.551832	+	0.833955i	$0.686071\pi$
$828$	466.635	−	73.9078i	0.563569	−	0.0892606i
$829$	−410.893	+	565.546i	−0.495649	+	0.682203i	−0.981417	−	0.191885i	$-0.938540\pi$
$829$	−410.893	+	565.546i	−0.495649	+	0.682203i	0.485768	+	0.874088i	$0.338540\pi$
$830$	627.276	+	624.652i	0.755755	+	0.752593i
$831$	−605.218	+	439.717i	−0.728301	+	0.529142i
$832$	−310.069	−	310.069i	−0.372679	−	0.372679i
$833$	−3.37034	+	21.2795i	−0.00404603	+	0.0255456i
$834$	−1545.05	+	502.017i	−1.85258	+	0.601939i
$835$	143.538	−	46.9711i	0.171902	−	0.0562528i
$836$	−26.8880	+	82.7528i	−0.0321627	+	0.0989866i
$837$	−149.962	+	294.318i	−0.179166	+	0.351634i
$838$	−686.317	−	349.696i	−0.818994	−	0.417298i
$839$	−247.248	−	80.3359i	−0.294694	−	0.0957519i	0.157939	−	0.987449i	$-0.449515\pi$
$839$	−247.248	−	80.3359i	−0.294694	−	0.0957519i	−0.452633	+	0.891697i	$0.649515\pi$
$840$	117.162	−	363.176i	0.139479	−	0.432353i
$841$	184.871	+	568.974i	0.219823	+	0.676545i
$842$	−869.036	−	137.642i	−1.03211	−	0.163470i
$843$	477.794	−	477.794i	0.566778	−	0.566778i
$844$	260.147	+	358.061i	0.308231	+	0.424243i
$845$	32.7558	+	16.6035i	0.0387642	+	0.0196491i
$846$	349.269	+	253.759i	0.412848	+	0.299952i
$847$	21.2512	+	134.175i	0.0250900	+	0.158412i
$848$	335.500	+	658.456i	0.395637	+	0.776481i
$849$			45.4295i			0.0535095i
$850$	−11.9378	+	37.2718i	−0.0140445	+	0.0438492i
$851$	−2099.95			−2.46763
$852$	−1008.01	+	513.608i	−1.18311	+	0.602826i
$853$	−1173.94	+	185.933i	−1.37624	+	0.217976i	−0.800342	−	0.599544i	$-0.795349\pi$
$853$	−1173.94	+	185.933i	−1.37624	+	0.217976i	−0.575901	+	0.817519i	$0.695349\pi$
$854$	−350.708	+	482.708i	−0.410665	+	0.565232i
$855$	−54.4626	−	8.50904i	−0.0636990	−	0.00995210i
$856$	103.001	−	74.8346i	0.120328	−	0.0874236i
$857$	1103.02	+	1103.02i	1.28707	+	1.28707i	0.936558	+	0.350513i	$0.113993\pi$
$857$	1103.02	+	1103.02i	1.28707	+	1.28707i	0.350513	+	0.936558i	$0.386007\pi$
$858$	198.592	−	1253.86i	0.231459	−	1.46137i
$859$	922.654	−	299.788i	1.07410	−	0.348997i	0.282018	−	0.959409i	$-0.408996\pi$
$859$	922.654	−	299.788i	1.07410	−	0.348997i	0.792084	+	0.610412i	$0.208996\pi$
$860$	−101.929	−	139.676i	−0.118522	−	0.162414i
$861$	27.1240	−	83.4792i	0.0315030	−	0.0969561i
$862$	396.223	−	777.632i	0.459656	−	0.902125i
$863$	−543.074	−	276.710i	−0.629286	−	0.320637i	0.110099	−	0.993921i	$-0.464883\pi$
$863$	−543.074	−	276.710i	−0.629286	−	0.320637i	−0.739384	+	0.673284i	$0.764883\pi$
$864$	−687.275	−	223.309i	−0.795457	−	0.258460i
$865$	768.183	+	555.661i	0.888073	+	0.642383i
$866$	−179.649	−	552.904i	−0.207447	−	0.638457i
$867$	1032.47	+	163.527i	1.19085	+	0.188612i
$868$	−385.071	+	385.071i	−0.443630	+	0.443630i
$869$	23.5977	+	32.4795i	0.0271550	+	0.0373757i
$870$	343.852	+	671.364i	0.395232	+	0.771683i
$871$	−69.9285	−	50.8060i	−0.0802853	−	0.0583307i
$872$	−71.2889	−	450.100i	−0.0817533	−	0.516170i
$873$	7.28732	+	14.3022i	0.00834745	+	0.0163828i
$874$		−	261.255i		−	0.298919i
$875$	−932.411	+	686.436i	−1.06561	+	0.784499i
$876$	−686.216			−0.783352
$877$	496.670	−	253.066i	0.566328	−	0.288559i	−0.147290	−	0.989093i	$-0.547055\pi$
$877$	496.670	−	253.066i	0.566328	−	0.288559i	0.713618	+	0.700535i	$0.247055\pi$
$878$	614.616	−	97.3456i	0.700018	−	0.110872i
$879$	−762.689	+	1049.75i	−0.867678	+	1.19426i
$880$	857.220	−	439.041i	0.974113	−	0.498910i
$881$	571.794	−	415.433i	0.649028	−	0.471547i	−0.213912	−	0.976853i	$-0.568621\pi$
$881$	571.794	−	415.433i	0.649028	−	0.471547i	0.862940	+	0.505306i	$0.168621\pi$
$882$	−286.239	−	286.239i	−0.324535	−	0.324535i
$883$	63.1426	−	398.666i	0.0715091	−	0.451491i	−0.925790	−	0.378039i	$-0.876598\pi$
$883$	63.1426	−	398.666i	0.0715091	−	0.451491i	0.997299	−	0.0734518i	$-0.0234015\pi$
$884$	−22.2947	+	7.24400i	−0.0252203	+	0.00819457i
$885$	5.51737	−	7.62758i	0.00623432	−	0.00861874i
$886$	247.379	−	761.355i	0.279209	−	0.859317i
$887$	675.314	−	1325.38i	0.761346	−	1.49423i	−0.104832	−	0.994490i	$-0.533431\pi$
$887$	675.314	−	1325.38i	0.761346	−	1.49423i	0.866178	−	0.499735i	$-0.166569\pi$
$888$	−422.787	−	215.421i	−0.476112	−	0.242591i
$889$	2134.51	+	693.543i	2.40102	+	0.780139i
$890$	−562.526	+	410.504i	−0.632052	+	0.461240i
$891$	−322.162	−	991.514i	−0.361574	−	1.11281i
$892$	1042.11	+	165.054i	1.16829	+	0.185038i
$893$	74.3574	−	74.3574i	0.0832670	−	0.0832670i
$894$	1364.21	+	1877.68i	1.52596	+	2.10031i
$895$	210.963	−	1350.28i	0.235713	−	1.50870i
$896$	533.261	+	387.437i	0.595157	+	0.432407i
$897$	262.651	+	1658.31i	0.292810	+	1.84873i
$898$	224.249	+	440.114i	0.249721	+	0.490105i
$899$			290.881i			0.323561i
$900$	−191.485	−	261.246i	−0.212761	−	0.290273i
$901$	23.1632			0.0257083
$902$	64.2838	−	32.7542i	0.0712681	−	0.0363129i
$903$	363.841	−	57.6267i	0.402925	−	0.0638170i
$904$	−213.558	+	293.937i	−0.236236	+	0.325151i
$905$	−632.625	+	1248.06i	−0.699033	+	1.37907i
$906$	−543.777	+	395.077i	−0.600196	+	0.436068i
$907$	−183.343	−	183.343i	−0.202142	−	0.202142i	0.598775	−	0.800917i	$-0.295654\pi$
$907$	−183.343	−	183.343i	−0.202142	−	0.202142i	−0.800917	+	0.598775i	$0.795654\pi$
$908$	−6.25815	+	39.5124i	−0.00689224	+	0.0435159i
$909$	300.815	−	97.7407i	0.330930	−	0.107526i
$910$	−1498.40	−	483.389i	−1.64659	−	0.531196i
$911$	337.161	−	1037.67i	0.370100	−	1.13905i	−0.576626	−	0.817008i	$-0.695631\pi$
$911$	337.161	−	1037.67i	0.370100	−	1.13905i	0.946726	−	0.322041i	$-0.104369\pi$
$912$	82.2912	−	161.506i	0.0902316	−	0.177090i
$913$	−608.399	−	309.995i	−0.666374	−	0.339534i
$914$	1106.14	+	359.406i	1.21022	+	0.393223i
$915$	−135.670	−	414.590i	−0.148273	−	0.453104i
$916$	−389.496	−	1198.75i	−0.425214	−	1.30868i
$917$	−494.444	−	78.3122i	−0.539197	−	0.0854004i
$918$	−19.5852	+	19.5852i	−0.0213346	+	0.0213346i
$919$	−355.204	−	488.897i	−0.386512	−	0.531988i	0.570783	−	0.821101i	$-0.306640\pi$
$919$	−355.204	−	488.897i	−0.386512	−	0.531988i	−0.957295	+	0.289113i	$0.906640\pi$
$920$	−292.722	+	293.952i	−0.318176	+	0.319513i
$921$	−1598.52	−	1161.40i	−1.73564	−	1.26102i
$922$	293.549	+	1853.39i	0.318382	+	2.01019i
$923$	−572.632	−	1123.85i	−0.620403	−	1.21761i
$924$		−	1089.24i		−	1.17883i
$925$	658.982	+	1280.03i	0.712413	+	1.38382i
$926$	2319.44			2.50480
$927$	−273.446	+	139.328i	−0.294979	+	0.150299i
$928$	−628.528	+	99.5490i	−0.677293	+	0.107273i
$929$	680.551	−	936.698i	0.732563	−	1.00829i	−0.266449	−	0.963849i	$-0.585850\pi$
$929$	680.551	−	936.698i	0.732563	−	1.00829i	0.999012	−	0.0444375i	$-0.0141496\pi$
$930$	−143.268	−	892.447i	−0.154052	−	0.959621i
$931$	−79.7699	+	57.9562i	−0.0856819	+	0.0622515i
$932$	−441.530	−	441.530i	−0.473744	−	0.473744i
$933$	−103.561	+	653.860i	−0.110998	+	0.700814i
$934$	−1104.39	+	358.838i	−1.18243	+	0.384195i
$935$	−0.0632780	−	30.1876i	−6.76770e−5	−	0.0322862i
$936$	−36.7803	+	113.198i	−0.0392952	+	0.120938i
$937$	−342.236	+	671.677i	−0.365247	+	0.716838i	−0.998362	−	0.0572205i	$-0.981776\pi$
$937$	−342.236	+	671.677i	−0.365247	+	0.716838i	0.633115	+	0.774058i	$0.281776\pi$
$938$	−150.018	−	76.4380i	−0.159934	−	0.0814904i
$939$	−1671.55	−	543.118i	−1.78013	−	0.578401i
$940$	617.907	−	1.29523i	0.657348	−	0.00137791i
$941$	408.472	+	1257.15i	0.434083	+	1.33597i	0.894024	+	0.448020i	$0.147871\pi$
$941$	408.472	+	1257.15i	0.434083	+	1.33597i	−0.459941	+	0.887949i	$0.652129\pi$
$942$	196.150	+	31.0670i	0.208227	+	0.0329799i
$943$	−67.4720	+	67.4720i	−0.0715504	+	0.0715504i
$944$	5.70841	+	7.85695i	0.00604704	+	0.00832304i
$945$	−809.053	+	129.880i	−0.856141	+	0.137440i
$946$	244.962	+	177.975i	0.258945	+	0.188134i
$947$	−90.9523	−	574.250i	−0.0960425	−	0.606389i	−0.988022	−	0.154313i	$-0.950684\pi$
$947$	−90.9523	−	574.250i	−0.0960425	−	0.606389i	0.891979	−	0.452076i	$-0.149316\pi$
$948$	20.1564	+	39.5592i	0.0212620	+	0.0417291i
$949$		−	765.076i		−	0.806192i
$950$	−159.248	+	81.9838i	−0.167630	+	0.0862988i
$951$	1020.97			1.07357
$952$	10.9945	−	5.60200i	0.0115489	−	0.00588445i
$953$	1229.45	−	194.726i	1.29008	−	0.204329i	0.526577	−	0.850128i	$-0.323475\pi$
$953$	1229.45	−	194.726i	1.29008	−	0.204329i	0.763508	+	0.645798i	$0.223475\pi$
$954$	−255.812	+	352.095i	−0.268146	+	0.369072i
$955$	406.658	+	404.957i	0.425820	+	0.424039i
$956$	1080.49	−	785.020i	1.13022	−	0.821151i
$957$	−411.405	−	411.405i	−0.429890	−	0.429890i
$958$	33.6079	−	212.192i	0.0350813	−	0.221495i
$959$	1351.48	−	439.123i	1.40926	−	0.457897i
$960$	593.514	−	194.221i	0.618244	−	0.202313i
$961$	−189.254	+	582.462i	−0.196934	+	0.606100i
$962$	−888.787	+	1744.34i	−0.923895	+	1.81325i
$963$	205.131	+	104.520i	0.213013	+	0.108535i
$964$	819.760	+	266.356i	0.850374	+	0.276303i
$965$	116.723	−	361.814i	0.120956	−	0.374937i
$966$	1010.64	+	3110.42i	1.04621	+	3.21989i
$967$	606.819	+	96.1107i	0.627527	+	0.0993906i	0.462095	−	0.886831i	$-0.347098\pi$
$967$	606.819	+	96.1107i	0.627527	+	0.0993906i	0.165433	+	0.986221i	$0.447098\pi$
$968$	23.5958	−	23.5958i	0.0243758	−	0.0243758i
$969$	−3.33948	−	4.59640i	−0.00344631	−	0.00474344i
$970$	46.5218	+	23.5813i	0.0479606	+	0.0243106i
$971$	−591.996	−	430.110i	−0.609676	−	0.442956i	0.239624	−	0.970866i	$-0.422976\pi$
$971$	−591.996	−	430.110i	−0.609676	−	0.442956i	−0.849300	+	0.527910i	$0.822976\pi$
$972$	−101.918	−	643.486i	−0.104854	−	0.662023i
$973$	−705.543	−	1384.71i	−0.725121	−	1.42313i
$974$		−	1259.75i		−	1.29338i
$975$	928.405	−	680.491i	0.952210	−	0.697939i
$976$	450.025			0.461091
$977$	299.952	−	152.833i	0.307013	−	0.156431i	−0.293696	−	0.955899i	$-0.594885\pi$
$977$	299.952	−	152.833i	0.307013	−	0.156431i	0.600709	+	0.799468i	$0.294885\pi$
$978$	−693.684	+	109.869i	−0.709288	+	0.112340i
$979$	315.725	−	434.558i	0.322497	−	0.443880i
$980$	−572.439	−	89.4357i	−0.584121	−	0.0912610i
$981$	666.675	−	484.368i	0.679587	−	0.493749i
$982$	−644.431	−	644.431i	−0.656243	−	0.656243i
$983$	−178.128	+	1124.65i	−0.181208	+	1.14410i	0.714557	+	0.699577i	$0.246628\pi$
$983$	−178.128	+	1124.65i	−0.181208	+	1.14410i	−0.895765	+	0.444527i	$0.853372\pi$
$984$	−20.5058	+	6.66273i	−0.0208392	+	0.00677107i
$985$	−468.677	−	642.243i	−0.475814	−	0.652024i
$986$	−7.53710	+	23.1968i	−0.00764412	+	0.0235262i
$987$	−597.633	+	1172.92i	−0.605504	+	1.18837i
$988$	−95.5908	−	48.7060i	−0.0967519	−	0.0492975i
$989$	−380.859	−	123.749i	−0.385096	−	0.125125i
$990$	459.568	+	332.426i	0.464210	+	0.335784i
$991$	353.468	+	1087.86i	0.356678	+	1.09774i	0.955030	+	0.296509i	$0.0958224\pi$
$991$	353.468	+	1087.86i	0.356678	+	1.09774i	−0.598352	+	0.801233i	$0.704178\pi$
$992$	753.164	+	119.290i	0.759238	+	0.120252i
$993$	−547.493	+	547.493i	−0.551352	+	0.551352i
$994$	−1444.15	−	1987.71i	−1.45287	−	1.99971i
$995$	−300.276	−	586.284i	−0.301785	−	0.589230i
$996$	−610.915	−	443.855i	−0.613368	−	0.445638i
$997$	181.244	+	1144.33i	0.181789	+	1.14777i	0.894750	+	0.446567i	$0.147353\pi$
$997$	181.244	+	1144.33i	0.181789	+	1.14777i	−0.712962	+	0.701203i	$0.752647\pi$
$998$	489.793	+	961.272i	0.490774	+	0.963198i
$999$			1018.89i			1.01991i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	25.3.f.a.22.1	yes	32
3.2	odd	2		225.3.r.a.172.4		32
4.3	odd	2		400.3.bg.c.97.3		32
5.2	odd	4		125.3.f.b.118.1		32
5.3	odd	4		125.3.f.a.118.4		32
5.4	even	2		125.3.f.c.7.4		32
25.6	even	5		125.3.f.a.107.4		32
25.8	odd	20	inner	25.3.f.a.8.1	✓	32
25.17	odd	20		125.3.f.c.18.4		32
25.19	even	10		125.3.f.b.107.1		32
75.8	even	20		225.3.r.a.208.4		32
100.83	even	20		400.3.bg.c.33.3		32

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
25.3.f.a.8.1	✓	32	25.8	odd	20	inner
25.3.f.a.22.1	yes	32	1.1	even	1	trivial
125.3.f.a.107.4		32	25.6	even	5
125.3.f.a.118.4		32	5.3	odd	4
125.3.f.b.107.1		32	25.19	even	10
125.3.f.b.118.1		32	5.2	odd	4
125.3.f.c.7.4		32	5.4	even	2
125.3.f.c.18.4		32	25.17	odd	20
225.3.r.a.172.4		32	3.2	odd	2
225.3.r.a.208.4		32	75.8	even	20
400.3.bg.c.33.3		32	100.83	even	20
400.3.bg.c.97.3		32	4.3	odd	2

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:	\( N \)	\(=\)	\( 25 = 5^{2} \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	25.f (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-2.38234 + 1.21387i) q^{2} +(-3.57679 + 0.566508i) q^{3} +(1.85096 - 2.54762i) q^{4} +(-4.45026 + 2.27929i) q^{5} +(7.83348 - 5.69136i) q^{6} +(6.54971 + 6.54971i) q^{7} +(0.355933 - 2.24727i) q^{8} +(3.91299 - 1.27141i) q^{9} +O(q^{10})\)	\(q+(-2.38234 + 1.21387i) q^{2} +(-3.57679 + 0.566508i) q^{3} +(1.85096 - 2.54762i) q^{4} +(-4.45026 + 2.27929i) q^{5} +(7.83348 - 5.69136i) q^{6} +(6.54971 + 6.54971i) q^{7} +(0.355933 - 2.24727i) q^{8} +(3.91299 - 1.27141i) q^{9} +(7.83532 - 10.8321i) q^{10} +(-3.18653 + 9.80714i) q^{11} +(-5.17723 + 10.1609i) q^{12} +(-11.3286 - 5.77220i) q^{13} +(-23.5541 - 7.65321i) q^{14} +(14.6264 - 10.6736i) q^{15} +(5.77235 + 17.7655i) q^{16} +(0.578287 + 0.0915916i) q^{17} +(-7.77878 + 7.77878i) q^{18} +(1.57500 + 2.16781i) q^{19} +(-2.43048 + 15.5565i) q^{20} +(-27.1374 - 19.7165i) q^{21} +(-4.31313 - 27.2320i) q^{22} +(16.5548 + 32.4907i) q^{23} +8.23965i q^{24} +(14.6097 - 20.2869i) q^{25} +33.9953 q^{26} +(15.7643 - 8.03233i) q^{27} +(28.8094 - 4.56297i) q^{28} +(9.15785 - 12.6047i) q^{29} +(-21.8888 + 43.1828i) q^{30} +(-15.1042 + 10.9739i) q^{31} +(-28.8811 - 28.8811i) q^{32} +(5.84174 - 36.8833i) q^{33} +(-1.48886 + 0.483759i) q^{34} +(-44.0766 - 14.2193i) q^{35} +(4.00371 - 12.3221i) q^{36} +(-26.1444 + 51.3113i) q^{37} +(-6.38363 - 3.25262i) q^{38} +(43.7900 + 14.2282i) q^{39} +(3.53818 + 10.8122i) q^{40} +(0.808618 + 2.48867i) q^{41} +(88.5838 + 14.0303i) q^{42} +(-7.76543 + 7.76543i) q^{43} +(19.0868 + 26.2707i) q^{44} +(-14.5159 + 14.5769i) q^{45} +(-78.8786 - 57.3086i) q^{46} +(-6.13916 - 38.7611i) q^{47} +(-30.7108 - 60.2733i) q^{48} +36.7975i q^{49} +(-10.1799 + 66.0645i) q^{50} -2.12030 q^{51} +(-35.6741 + 18.1769i) q^{52} +(39.0747 - 6.18882i) q^{53} +(-27.8059 + 38.2716i) q^{54} +(-8.17236 - 50.9074i) q^{55} +(17.0502 - 12.3877i) q^{56} +(-6.86154 - 6.86154i) q^{57} +(-6.51675 + 41.1452i) q^{58} +(0.494461 - 0.160660i) q^{59} +(-0.119521 - 57.0191i) q^{60} +(7.44472 - 22.9125i) q^{61} +(22.6627 - 44.4780i) q^{62} +(33.9563 + 17.3016i) q^{63} +(32.8008 + 10.6576i) q^{64} +(63.5717 - 0.133256i) q^{65} +(30.8543 + 94.9598i) q^{66} +(6.71462 + 1.06349i) q^{67} +(1.30372 - 1.30372i) q^{68} +(-77.6194 - 106.834i) q^{69} +(122.266 - 19.6278i) q^{70} +(80.2586 + 58.3113i) q^{71} +(-1.46444 - 9.24608i) q^{72} +(27.3185 + 53.6155i) q^{73} -153.977i q^{74} +(-40.7632 + 80.8383i) q^{75} +8.43802 q^{76} +(-85.1048 + 43.3631i) q^{77} +(-121.594 + 19.2586i) q^{78} +(2.28841 - 3.14973i) q^{79} +(-66.1811 - 65.9042i) q^{80} +(-81.7927 + 59.4258i) q^{81} +(-4.94732 - 4.94732i) q^{82} +(-10.3587 + 65.4021i) q^{83} +(-100.460 + 32.6415i) q^{84} +(-2.78229 + 0.910474i) q^{85} +(9.07375 - 27.9261i) q^{86} +(-25.6151 + 50.2724i) q^{87} +(20.9051 + 10.6517i) q^{88} +(-49.5405 - 16.0967i) q^{89} +(16.8876 - 52.3477i) q^{90} +(-36.3927 - 112.005i) q^{91} +(113.416 + 17.9634i) q^{92} +(47.8078 - 47.8078i) q^{93} +(61.6764 + 84.8903i) q^{94} +(-11.9502 - 6.05743i) q^{95} +(119.663 + 86.9404i) q^{96} +(0.610311 + 3.85335i) q^{97} +(-44.6672 - 87.6643i) q^{98} +42.4266i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 32 q - 10 q^{2} - 10 q^{3} - 10 q^{4} - 10 q^{5} - 6 q^{6} - 10 q^{7} - 10 q^{8} - 10 q^{9}+O(q^{10}) \) 32 * q - 10 * q^2 - 10 * q^3 - 10 * q^4 - 10 * q^5 - 6 * q^6 - 10 * q^7 - 10 * q^8 - 10 * q^9	\( 32 q - 10 q^{2} - 10 q^{3} - 10 q^{4} - 10 q^{5} - 6 q^{6} - 10 q^{7} - 10 q^{8} - 10 q^{9} - 10 q^{10} - 6 q^{11} - 10 q^{12} - 10 q^{13} - 10 q^{14} - 10 q^{15} + 2 q^{16} + 60 q^{17} + 140 q^{18} + 90 q^{19} + 130 q^{20} - 6 q^{21} + 70 q^{22} + 10 q^{23} - 40 q^{25} + 4 q^{26} - 100 q^{27} - 250 q^{28} - 110 q^{29} - 250 q^{30} - 6 q^{31} - 290 q^{32} - 190 q^{33} - 260 q^{34} - 120 q^{35} - 58 q^{36} + 50 q^{37} + 320 q^{38} + 390 q^{39} + 440 q^{40} - 86 q^{41} + 690 q^{42} + 230 q^{43} + 340 q^{44} + 310 q^{45} - 6 q^{46} + 70 q^{47} + 160 q^{48} - 100 q^{50} - 16 q^{51} - 320 q^{52} - 190 q^{53} - 660 q^{54} - 250 q^{55} - 70 q^{56} - 650 q^{57} - 640 q^{58} - 260 q^{59} - 550 q^{60} + 114 q^{61} + 60 q^{62} - 20 q^{63} + 340 q^{64} + 360 q^{65} + 138 q^{66} + 270 q^{67} + 710 q^{68} + 340 q^{69} + 310 q^{70} - 66 q^{71} + 360 q^{72} + 30 q^{73} - 90 q^{75} - 80 q^{76} - 250 q^{77} - 500 q^{78} - 210 q^{79} - 850 q^{80} + 62 q^{81} + 30 q^{82} - 10 q^{84} + 600 q^{85} - 6 q^{86} + 300 q^{87} + 190 q^{88} - 10 q^{89} + 380 q^{90} - 6 q^{91} - 30 q^{92} + 520 q^{93} + 790 q^{94} + 310 q^{95} + 174 q^{96} + 270 q^{97} + 170 q^{98}+O(q^{100}) \) 32 * q - 10 * q^2 - 10 * q^3 - 10 * q^4 - 10 * q^5 - 6 * q^6 - 10 * q^7 - 10 * q^8 - 10 * q^9 - 10 * q^10 - 6 * q^11 - 10 * q^12 - 10 * q^13 - 10 * q^14 - 10 * q^15 + 2 * q^16 + 60 * q^17 + 140 * q^18 + 90 * q^19 + 130 * q^20 - 6 * q^21 + 70 * q^22 + 10 * q^23 - 40 * q^25 + 4 * q^26 - 100 * q^27 - 250 * q^28 - 110 * q^29 - 250 * q^30 - 6 * q^31 - 290 * q^32 - 190 * q^33 - 260 * q^34 - 120 * q^35 - 58 * q^36 + 50 * q^37 + 320 * q^38 + 390 * q^39 + 440 * q^40 - 86 * q^41 + 690 * q^42 + 230 * q^43 + 340 * q^44 + 310 * q^45 - 6 * q^46 + 70 * q^47 + 160 * q^48 - 100 * q^50 - 16 * q^51 - 320 * q^52 - 190 * q^53 - 660 * q^54 - 250 * q^55 - 70 * q^56 - 650 * q^57 - 640 * q^58 - 260 * q^59 - 550 * q^60 + 114 * q^61 + 60 * q^62 - 20 * q^63 + 340 * q^64 + 360 * q^65 + 138 * q^66 + 270 * q^67 + 710 * q^68 + 340 * q^69 + 310 * q^70 - 66 * q^71 + 360 * q^72 + 30 * q^73 - 90 * q^75 - 80 * q^76 - 250 * q^77 - 500 * q^78 - 210 * q^79 - 850 * q^80 + 62 * q^81 + 30 * q^82 - 10 * q^84 + 600 * q^85 - 6 * q^86 + 300 * q^87 + 190 * q^88 - 10 * q^89 + 380 * q^90 - 6 * q^91 - 30 * q^92 + 520 * q^93 + 790 * q^94 + 310 * q^95 + 174 * q^96 + 270 * q^97 + 170 * q^98

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