LMFDB - Embedded newform 45.4.l.a.23.15

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [45,4,Mod(2,45)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(45, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([2, 3]))

N = Newforms(chi, 4, names="a")

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

chi := DirichletCharacter("45.2");

S:= CuspForms(chi, 4);

N := Newforms(S);

Level:	$ N $	$=$	$ 45 = 3^{2} \cdot 5 $
Weight:	$ k $	$=$	$ 4 $
Character orbit:	$[\chi]$	$=$	45.l (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.65508595026$
Analytic rank:	$0$
Dimension:	$64$
Relative dimension:	$16$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			23.15
Character	$\chi$	$=$	45.23
Dual form			45.4.l.a.2.15

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.15194 - 4.29910i) q^{2} +(-2.52446 - 4.54171i) q^{3} +(-10.2271 - 5.90461i) q^{4} +(10.7022 + 3.23468i) q^{5} +(-22.4333 + 5.62113i) q^{6} +(-7.13532 - 1.91190i) q^{7} +(-11.9883 + 11.9883i) q^{8} +(-14.2542 + 22.9307i) q^{9} +O(q^{10})$	\(q+(1.15194 - 4.29910i) q^{2} +(-2.52446 - 4.54171i) q^{3} +(-10.2271 - 5.90461i) q^{4} +(10.7022 + 3.23468i) q^{5} +(-22.4333 + 5.62113i) q^{6} +(-7.13532 - 1.91190i) q^{7} +(-11.9883 + 11.9883i) q^{8} +(-14.2542 + 22.9307i) q^{9} +(26.2345 - 42.2836i) q^{10} +(-7.55654 + 4.36277i) q^{11} +(-0.999152 + 61.3544i) q^{12} +(73.7842 - 19.7704i) q^{13} +(-16.4389 + 28.4731i) q^{14} +(-12.3263 - 56.7720i) q^{15} +(-9.50797 - 16.4683i) q^{16} +(-5.92131 - 5.92131i) q^{17} +(82.1614 + 87.6951i) q^{18} -106.718i q^{19} +(-90.3527 - 96.2737i) q^{20} +(9.32953 + 37.2331i) q^{21} +(10.0513 + 37.5120i) q^{22} +(27.4553 + 102.465i) q^{23} +(84.7110 + 24.1833i) q^{24} +(104.074 + 69.2363i) q^{25} -339.980i q^{26} +(140.129 + 6.85080i) q^{27} +(61.6846 + 61.6846i) q^{28} +(85.3380 + 147.810i) q^{29} +(-258.268 - 12.4061i) q^{30} +(-157.999 + 273.662i) q^{31} +(-212.761 + 57.0093i) q^{32} +(38.8906 + 23.3059i) q^{33} +(-32.2773 + 18.6353i) q^{34} +(-70.1792 - 43.5421i) q^{35} +(281.176 - 150.349i) q^{36} +(-31.7091 + 31.7091i) q^{37} +(-458.791 - 122.933i) q^{38} +(-276.057 - 285.197i) q^{39} +(-167.079 + 89.5224i) q^{40} +(298.272 + 172.207i) q^{41} +(170.816 + 2.78172i) q^{42} +(115.545 - 431.220i) q^{43} +103.042 q^{44} +(-226.725 + 199.301i) q^{45} +472.133 q^{46} +(-60.9929 + 227.629i) q^{47} +(-50.7917 + 84.7559i) q^{48} +(-249.789 - 144.216i) q^{49} +(417.541 - 367.667i) q^{50} +(-11.9448 + 41.8410i) q^{51} +(-871.335 - 233.473i) q^{52} +(-60.5508 + 60.5508i) q^{53} +(190.872 - 594.536i) q^{54} +(-94.9837 + 22.2482i) q^{55} +(108.460 - 62.6197i) q^{56} +(-484.682 + 269.405i) q^{57} +(733.754 - 196.609i) q^{58} +(-25.4427 + 44.0680i) q^{59} +(-209.155 + 653.395i) q^{60} +(-36.1174 - 62.5572i) q^{61} +(994.494 + 994.494i) q^{62} +(145.550 - 136.365i) q^{63} +828.227i q^{64} +(853.604 + 27.0816i) q^{65} +(144.994 - 140.347i) q^{66} +(4.59668 + 17.1550i) q^{67} +(25.5947 + 95.5208i) q^{68} +(396.055 - 383.362i) q^{69} +(-268.034 + 251.549i) q^{70} +109.592i q^{71} +(-104.016 - 445.782i) q^{72} +(-144.319 - 144.319i) q^{73} +(99.7935 + 172.847i) q^{74} +(51.7214 - 647.456i) q^{75} +(-630.128 + 1091.41i) q^{76} +(62.2595 - 16.6824i) q^{77} +(-1544.09 + 858.266i) q^{78} +(-140.624 + 81.1891i) q^{79} +(-48.4864 - 207.002i) q^{80} +(-322.635 - 653.718i) q^{81} +(1083.93 - 1083.93i) q^{82} +(279.860 + 74.9883i) q^{83} +(124.433 - 435.873i) q^{84} +(-44.2174 - 82.5245i) q^{85} +(-1720.76 - 993.479i) q^{86} +(455.877 - 760.720i) q^{87} +(38.2877 - 142.892i) q^{88} -1107.89 q^{89} +(595.641 + 1204.30i) q^{90} -564.273 q^{91} +(324.227 - 1210.03i) q^{92} +(1641.75 + 26.7358i) q^{93} +(908.339 + 524.430i) q^{94} +(345.199 - 1142.12i) q^{95} +(796.027 + 822.383i) q^{96} +(-197.725 - 52.9802i) q^{97} +(-907.741 + 907.741i) q^{98} +(7.67108 - 235.465i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 64 q - 6 q^{2} - 6 q^{5} - 24 q^{6} - 2 q^{7}+O(q^{10}) $ 64 * q - 6 * q^2 - 6 * q^5 - 24 * q^6 - 2 * q^7	$ 64 q - 6 q^{2} - 6 q^{5} - 24 q^{6} - 2 q^{7} - 8 q^{10} - 36 q^{11} - 138 q^{12} - 2 q^{13} - 96 q^{15} + 316 q^{16} - 480 q^{18} + 378 q^{20} + 480 q^{21} - 34 q^{22} + 306 q^{23} - 146 q^{25} + 180 q^{27} - 232 q^{28} - 1170 q^{30} - 4 q^{31} - 1770 q^{32} - 294 q^{33} - 216 q^{36} + 136 q^{37} + 114 q^{38} + 126 q^{40} + 1992 q^{41} + 1698 q^{42} - 2 q^{43} + 1134 q^{45} - 952 q^{46} + 3462 q^{47} + 4326 q^{48} + 666 q^{50} - 2496 q^{51} - 242 q^{52} + 284 q^{55} - 7128 q^{56} - 2544 q^{57} + 534 q^{58} + 1818 q^{60} + 32 q^{61} - 4038 q^{63} - 2094 q^{65} + 2892 q^{66} + 610 q^{67} - 2694 q^{68} + 498 q^{70} - 1854 q^{72} - 8 q^{73} - 6408 q^{75} + 1368 q^{76} - 6486 q^{77} + 1434 q^{78} + 3012 q^{81} - 3784 q^{82} + 2814 q^{83} - 1658 q^{85} + 12480 q^{86} + 4830 q^{87} - 1338 q^{88} + 13914 q^{90} + 992 q^{91} + 13152 q^{92} + 8310 q^{93} + 4284 q^{95} - 7932 q^{96} + 358 q^{97}+O(q^{100}) $ 64 * q - 6 * q^2 - 6 * q^5 - 24 * q^6 - 2 * q^7 - 8 * q^10 - 36 * q^11 - 138 * q^12 - 2 * q^13 - 96 * q^15 + 316 * q^16 - 480 * q^18 + 378 * q^20 + 480 * q^21 - 34 * q^22 + 306 * q^23 - 146 * q^25 + 180 * q^27 - 232 * q^28 - 1170 * q^30 - 4 * q^31 - 1770 * q^32 - 294 * q^33 - 216 * q^36 + 136 * q^37 + 114 * q^38 + 126 * q^40 + 1992 * q^41 + 1698 * q^42 - 2 * q^43 + 1134 * q^45 - 952 * q^46 + 3462 * q^47 + 4326 * q^48 + 666 * q^50 - 2496 * q^51 - 242 * q^52 + 284 * q^55 - 7128 * q^56 - 2544 * q^57 + 534 * q^58 + 1818 * q^60 + 32 * q^61 - 4038 * q^63 - 2094 * q^65 + 2892 * q^66 + 610 * q^67 - 2694 * q^68 + 498 * q^70 - 1854 * q^72 - 8 * q^73 - 6408 * q^75 + 1368 * q^76 - 6486 * q^77 + 1434 * q^78 + 3012 * q^81 - 3784 * q^82 + 2814 * q^83 - 1658 * q^85 + 12480 * q^86 + 4830 * q^87 - 1338 * q^88 + 13914 * q^90 + 992 * q^91 + 13152 * q^92 + 8310 * q^93 + 4284 * q^95 - 7932 * q^96 + 358 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/45\mathbb{Z}\right)^\times$.

$n$	$11$	$37$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{3}{4}\right)$

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 $

$2$	1.15194	−	4.29910i	0.407272	−	1.51996i	−0.392553	−	0.919729i	$-0.628408\pi$
$2$	1.15194	−	4.29910i	0.407272	−	1.51996i	0.799826	−	0.600232i	$-0.204925\pi$
$3$	−2.52446	−	4.54171i	−0.485832	−	0.874052i
$3$	−2.52446	−	4.54171i	−0.485832	−	0.874052i
$4$	−10.2271	−	5.90461i	−1.27839	−	0.738077i
$5$	10.7022	+	3.23468i	0.957233	+	0.289319i
$5$	10.7022	+	3.23468i	0.957233	+	0.289319i
$6$	−22.4333	+	5.62113i	−1.52639	+	0.382469i
$7$	−7.13532	−	1.91190i	−0.385271	−	0.103233i	0.0609842	−	0.998139i	$-0.480576\pi$
$7$	−7.13532	−	1.91190i	−0.385271	−	0.103233i	−0.446255	+	0.894906i	$0.647243\pi$
$8$	−11.9883	+	11.9883i	−0.529811	+	0.529811i
$9$	−14.2542	+	22.9307i	−0.527934	+	0.849286i
$10$	26.2345	−	42.2836i	0.829608	−	1.33713i
$11$	−7.55654	+	4.36277i	−0.207126	+	0.119584i	−0.599975	−	0.800019i	$-0.704823\pi$
$11$	−7.55654	+	4.36277i	−0.207126	+	0.119584i	0.392849	+	0.919603i	$0.371489\pi$
$12$	−0.999152	+	61.3544i	−0.0240359	+	1.47596i
$13$	73.7842	−	19.7704i	1.57416	−	0.421794i	0.637047	−	0.770825i	$-0.280156\pi$
$13$	73.7842	−	19.7704i	1.57416	−	0.421794i	0.937111	+	0.349030i	$0.113489\pi$
$14$	−16.4389	+	28.4731i	−0.313821	+	0.543553i
$15$	−12.3263	−	56.7720i	−0.212175	−	0.977232i
$16$	−9.50797	−	16.4683i	−0.148562	−	0.257317i
$17$	−5.92131	−	5.92131i	−0.0844782	−	0.0844782i	0.663605	−	0.748083i	$-0.269026\pi$
$17$	−5.92131	−	5.92131i	−0.0844782	−	0.0844782i	−0.748083	+	0.663605i	$0.769026\pi$
$18$	82.1614	+	87.6951i	1.07587	+	1.14833i
$19$		−	106.718i		−	1.28857i	−0.764787	−	0.644284i	$-0.777156\pi$
$19$		−	106.718i		−	1.28857i	0.764787	−	0.644284i	$-0.222844\pi$
$20$	−90.3527	−	96.2737i	−1.01017	−	1.07637i
$21$	9.32953	+	37.2331i	0.0969462	+	0.386901i
$22$	10.0513	+	37.5120i	0.0974066	+	0.363526i
$23$	27.4553	+	102.465i	0.248906	+	0.928930i	0.971380	+	0.237531i	$0.0763383\pi$
$23$	27.4553	+	102.465i	0.248906	+	0.928930i	−0.722474	+	0.691398i	$0.756995\pi$
$24$	84.7110	+	24.1833i	0.720482	+	0.205683i
$25$	104.074	+	69.2363i	0.832589	+	0.553891i
$26$		−	339.980i		−	2.56445i
$27$	140.129	+	6.85080i	0.998807	+	0.0488310i
$28$	61.6846	+	61.6846i	0.416332	+	0.416332i
$29$	85.3380	+	147.810i	0.546444	+	0.946469i	0.998515	+	0.0544866i	$0.0173522\pi$
$29$	85.3380	+	147.810i	0.546444	+	0.946469i	−0.452070	+	0.891982i	$0.649314\pi$
$30$	−258.268	−	12.4061i	−1.57177	−	0.0755014i
$31$	−157.999	+	273.662i	−0.915400	+	1.58552i	−0.109085	+	0.994032i	$0.534792\pi$
$31$	−157.999	+	273.662i	−0.915400	+	1.58552i	−0.806315	+	0.591487i	$0.798541\pi$
$32$	−212.761	+	57.0093i	−1.17535	+	0.314935i
$33$	38.8906	+	23.3059i	0.205151	+	0.122941i
$34$	−32.2773	+	18.6353i	−0.162809	+	0.0939979i
$35$	−70.1792	−	43.5421i	−0.338927	−	0.210284i
$36$	281.176	−	150.349i	1.30174	−	0.696060i
$37$	−31.7091	+	31.7091i	−0.140890	+	0.140890i	−0.774034	−	0.633144i	$-0.781764\pi$
$37$	−31.7091	+	31.7091i	−0.140890	+	0.140890i	0.633144	+	0.774034i	$0.281764\pi$
$38$	−458.791	−	122.933i	−1.95857	−	0.524798i
$39$	−276.057	−	285.197i	−1.13345	−	1.17097i
$40$	−167.079	+	89.5224i	−0.660437	+	0.353868i
$41$	298.272	+	172.207i	1.13615	+	0.655958i	0.945475	−	0.325695i	$-0.105598\pi$
$41$	298.272	+	172.207i	1.13615	+	0.655958i	0.190677	+	0.981653i	$0.438932\pi$
$42$	170.816	+	2.78172i	0.627558	+	0.0102197i
$43$	115.545	−	431.220i	0.409778	−	1.52931i	−0.385292	−	0.922795i	$-0.625899\pi$
$43$	115.545	−	431.220i	0.409778	−	1.52931i	0.795070	−	0.606517i	$-0.207434\pi$
$44$	103.042			0.353049
$45$	−226.725	+	199.301i	−0.751070	+	0.660223i
$46$	472.133			1.51331
$47$	−60.9929	+	227.629i	−0.189292	+	0.706448i	0.804379	+	0.594117i	$0.202498\pi$
$47$	−60.9929	+	227.629i	−0.189292	+	0.706448i	−0.993671	+	0.112331i	$0.964168\pi$
$48$	−50.7917	+	84.7559i	−0.152732	+	0.254864i
$49$	−249.789	−	144.216i	−0.728249	−	0.420454i
$50$	417.541	−	367.667i	1.18098	−	1.03992i
$51$	−11.9448	+	41.8410i	−0.0327961	+	0.114881i
$52$	−871.335	−	233.473i	−2.32370	−	0.622633i
$53$	−60.5508	+	60.5508i	−0.156930	+	0.156930i	−0.781205	−	0.624275i	$-0.785395\pi$
$53$	−60.5508	+	60.5508i	−0.156930	+	0.156930i	0.624275	+	0.781205i	$0.285395\pi$
$54$	190.872	−	594.536i	0.481008	−	1.49826i
$55$	−94.9837	+	22.2482i	−0.232865	+	0.0545445i
$56$	108.460	−	62.6197i	0.258815	−	0.149427i
$57$	−484.682	+	269.405i	−1.12627	+	0.626028i
$58$	733.754	−	196.609i	1.66115	−	0.445103i
$59$	−25.4427	+	44.0680i	−0.0561416	+	0.0972401i	−0.892730	−	0.450591i	$-0.851213\pi$
$59$	−25.4427	+	44.0680i	−0.0561416	+	0.0972401i	0.836589	+	0.547831i	$0.184546\pi$
$60$	−209.155	+	653.395i	−0.450030	+	1.40588i
$61$	−36.1174	−	62.5572i	−0.0758092	−	0.131305i	0.825629	−	0.564214i	$-0.190821\pi$
$61$	−36.1174	−	62.5572i	−0.0758092	−	0.131305i	−0.901438	+	0.432909i	$0.857487\pi$
$62$	994.494	+	994.494i	2.03711	+	2.03711i
$63$	145.550	−	136.365i	0.291072	−	0.272705i
$64$			828.227i			1.61763i
$65$	853.604	+	27.0816i	1.62887	+	0.0516779i
$66$	144.994	−	140.347i	0.270418	−	0.261751i
$67$	4.59668	+	17.1550i	0.00838169	+	0.0312809i	0.969990	−	0.243145i	$-0.0781790\pi$
$67$	4.59668	+	17.1550i	0.00838169	+	0.0312809i	−0.961608	+	0.274426i	$0.911512\pi$
$68$	25.5947	+	95.5208i	0.0456444	+	0.170347i
$69$	396.055	−	383.362i	0.691006	−	0.668861i
$70$	−268.034	+	251.549i	−0.457660	+	0.429513i
$71$			109.592i			0.183185i	0.995797	+	0.0915927i	$0.0291958\pi$
$71$			109.592i			0.183185i	−0.995797	+	0.0915927i	$0.970804\pi$
$72$	−104.016	−	445.782i	−0.170256	−	0.729666i
$73$	−144.319	−	144.319i	−0.231387	−	0.231387i	0.581885	−	0.813271i	$-0.302315\pi$
$73$	−144.319	−	144.319i	−0.231387	−	0.231387i	−0.813271	+	0.581885i	$0.802315\pi$
$74$	99.7935	+	172.847i	0.156767	+	0.271529i
$75$	51.7214	−	647.456i	0.0796303	−	0.996824i
$76$	−630.128	+	1091.41i	−0.951062	+	1.64729i
$77$	62.2595	−	16.6824i	0.0921446	−	0.0246901i
$78$	−1544.09	+	858.266i	−2.24146	+	1.24589i
$79$	−140.624	+	81.1891i	−0.200271	+	0.115626i	−0.596782	−	0.802404i	$-0.703554\pi$
$79$	−140.624	+	81.1891i	−0.200271	+	0.115626i	0.396511	+	0.918030i	$0.370221\pi$
$80$	−48.4864	−	207.002i	−0.0677619	−	0.289294i
$81$	−322.635	−	653.718i	−0.442572	−	0.896733i
$82$	1083.93	−	1083.93i	1.45975	−	1.45975i
$83$	279.860	+	74.9883i	0.370104	+	0.0991691i	0.439077	−	0.898449i	$-0.355306\pi$
$83$	279.860	+	74.9883i	0.370104	+	0.0991691i	−0.0689728	+	0.997619i	$0.521972\pi$
$84$	124.433	−	435.873i	0.161628	−	0.566163i
$85$	−44.2174	−	82.5245i	−0.0564242	−	0.105306i
$86$	−1720.76	−	993.479i	−2.15760	−	1.24569i
$87$	455.877	−	760.720i	0.561783	−	0.937446i
$88$	38.2877	−	142.892i	0.0463805	−	0.173094i
$89$	−1107.89			−1.31950			−0.659751	−	0.751484i	$-0.729338\pi$
$89$	−1107.89			−1.31950			−0.659751	+	0.751484i	$0.729338\pi$
$90$	595.641	+	1204.30i	0.697624	+	1.41049i
$91$	−564.273			−0.650021
$92$	324.227	−	1210.03i	0.367423	−	1.37124i
$93$	1641.75	+	26.7358i	1.83056	+	0.0298105i
$94$	908.339	+	524.430i	0.996681	+	0.575434i
$95$	345.199	−	1142.12i	0.372807	−	1.23346i
$96$	796.027	+	822.383i	0.846294	+	0.874314i
$97$	−197.725	−	52.9802i	−0.206968	−	0.0554569i	0.153845	−	0.988095i	$-0.450834\pi$
$97$	−197.725	−	52.9802i	−0.206968	−	0.0554569i	−0.360813	+	0.932638i	$0.617501\pi$
$98$	−907.741	+	907.741i	−0.935670	+	0.935670i
$99$	7.67108	−	235.465i	0.00778760	−	0.239041i
$100$	−655.557	−	1322.60i	−0.655557	−	1.32260i
$101$	−960.085	+	554.305i	−0.945862	+	0.546093i	−0.891793	−	0.452444i	$-0.850552\pi$
$101$	−960.085	+	554.305i	−0.945862	+	0.546093i	−0.0540686	+	0.998537i	$0.517219\pi$
$102$	166.119	+	99.5500i	0.161257	+	0.0966364i
$103$	−276.457	+	74.0766i	−0.264468	+	0.0708639i	−0.388616	−	0.921400i	$-0.627047\pi$
$103$	−276.457	+	74.0766i	−0.264468	+	0.0708639i	0.124148	+	0.992264i	$0.460380\pi$
$104$	−647.531	+	1121.56i	−0.610535	+	1.05748i
$105$	−20.5908	+	428.653i	−0.0191377	+	0.398403i
$106$	190.563	+	330.065i	0.174614	+	0.302441i
$107$	−864.028	−	864.028i	−0.780643	−	0.780643i	0.199296	−	0.979939i	$-0.436134\pi$
$107$	−864.028	−	864.028i	−0.780643	−	0.780643i	−0.979939	+	0.199296i	$0.936134\pi$
$108$	−1392.66	−	897.470i	−1.24082	−	0.799621i
$109$			990.712i			0.870578i	0.900291	+	0.435289i	$0.143354\pi$
$109$			990.712i			0.870578i	−0.900291	+	0.435289i	$0.856646\pi$
$110$	−13.7683	+	433.973i	−0.0119342	+	0.376161i
$111$	224.062	+	63.9651i	0.191595	+	0.0546964i
$112$	36.3567	+	135.685i	0.0306730	+	0.114473i
$113$	19.6119	+	73.1927i	0.0163269	+	0.0609327i	0.973609	−	0.228224i	$-0.0732918\pi$
$113$	19.6119	+	73.1927i	0.0163269	+	0.0609327i	−0.957282	+	0.289157i	$0.906625\pi$
$114$	599.875	+	2394.03i	0.492837	+	1.96686i
$115$	−37.6085	+	1185.41i	−0.0304957	+	0.961215i
$116$		−	2015.55i		−	1.61327i
$117$	−598.386	+	1973.74i	−0.472827	+	1.55959i
$118$	160.144	+	160.144i	0.124936	+	0.124936i
$119$	30.9295	+	53.5714i	0.0238261	+	0.0412679i
$120$	828.368	+	532.827i	0.630161	+	0.405335i
$121$	−627.432	+	1086.74i	−0.471399	+	0.816488i
$122$	−310.545	+	83.2102i	−0.230454	+	0.0617500i
$123$	29.1401	−	1789.39i	0.0213616	−	1.31174i
$124$	3231.73	−	1865.84i	2.34047	−	1.35127i
$125$	889.859	+	1077.63i	0.636731	+	0.771086i
$126$	−418.584	−	782.818i	−0.295956	−	0.553484i
$127$	1084.18	−	1084.18i	0.757521	−	0.757521i	−0.218350	−	0.975871i	$-0.570067\pi$
$127$	1084.18	−	1084.18i	0.757521	−	0.757521i	0.975871	+	0.218350i	$0.0700674\pi$
$128$	1858.54	+	497.994i	1.28338	+	0.343882i
$129$	−2250.16	+	563.825i	−1.53578	+	0.384822i
$130$	1099.73	−	3638.53i	0.741942	−	2.45477i
$131$	1415.36	+	817.157i	0.943972	+	0.545003i	0.891203	−	0.453604i	$-0.149862\pi$
$131$	1415.36	+	817.157i	0.943972	+	0.545003i	0.0527689	+	0.998607i	$0.483195\pi$
$132$	−260.125	−	467.986i	−0.171523	−	0.308583i
$133$	−204.035	+	761.467i	−0.133023	+	0.496448i
$134$	79.0463			0.0509594
$135$	1477.52	+	526.590i	0.941963	+	0.335716i
$136$	141.972			0.0895149
$137$	591.988	−	2209.33i	0.369175	−	1.37778i	−0.492497	−	0.870314i	$-0.663916\pi$
$137$	591.988	−	2209.33i	0.369175	−	1.37778i	0.861672	−	0.507465i	$-0.169417\pi$
$138$	−1191.88	−	2144.29i	−0.735215	−	1.32271i
$139$	−1895.18	−	1094.18i	−1.15645	−	0.667678i	−0.206001	−	0.978552i	$-0.566045\pi$
$139$	−1895.18	−	1094.18i	−1.15645	−	0.667678i	−0.950451	+	0.310874i	$0.899378\pi$
$140$	460.630	+	859.690i	0.278074	+	0.518979i
$141$	1187.80	−	297.627i	0.709437	−	0.177764i
$142$	471.146	+	126.243i	0.278435	+	0.0746063i
$143$	−471.299	+	471.299i	−0.275609	+	0.275609i
$144$	513.158	+	16.7179i	0.296967	+	0.00967471i
$145$	435.186	+	1857.93i	0.249243	+	1.06409i
$146$	−786.687	+	454.194i	−0.445936	+	0.257461i
$147$	−24.4035	+	1498.54i	−0.0136923	+	0.840797i
$148$	511.522	−	137.062i	0.284100	−	0.0761244i
$149$	311.430	−	539.412i	0.171230	−	0.296580i	−0.767620	−	0.640905i	$-0.778559\pi$
$149$	311.430	−	539.412i	0.171230	−	0.296580i	0.938850	+	0.344326i	$0.111892\pi$
$150$	−2723.90	−	968.187i	−1.48270	−	0.527014i
$151$	−1009.02	−	1747.68i	−0.543795	−	0.941881i	−0.998682	−	0.0513314i	$-0.983654\pi$
$151$	−1009.02	−	1747.68i	−0.543795	−	0.941881i	0.454887	−	0.890549i	$-0.349680\pi$
$152$	1279.36	+	1279.36i	0.682697	+	0.682697i
$153$	220.183	−	51.3763i	0.116345	−	0.0271472i
$154$		−	286.877i		−	0.150112i
$155$	−2576.14	+	2417.70i	−1.33497	+	1.25287i
$156$	1139.28	+	4546.74i	0.584715	+	2.33353i
$157$	182.444	+	680.891i	0.0927428	+	0.346121i	0.996668	−	0.0815706i	$-0.0259936\pi$
$157$	182.444	+	680.891i	0.0927428	+	0.346121i	−0.903925	+	0.427692i	$0.859327\pi$
$158$	187.050	+	698.080i	0.0941829	+	0.351495i
$159$	427.862	+	122.146i	0.213407	+	0.0609233i
$160$	−2461.42	−	78.0916i	−1.21620	−	0.0385855i
$161$		−	783.611i		−	0.383585i
$162$	−3182.06	+	633.996i	−1.54325	+	0.307478i
$163$	−426.426	−	426.426i	−0.204909	−	0.204909i	0.597190	−	0.802100i	$-0.296284\pi$
$163$	−426.426	−	426.426i	−0.204909	−	0.204909i	−0.802100	+	0.597190i	$0.796284\pi$
$164$	−2033.64	−	3522.36i	−0.968294	−	1.67714i
$165$	340.827	+	375.223i	0.160808	+	0.177037i
$166$	644.765	−	1116.77i	0.301467	−	0.522155i
$167$	613.477	−	164.381i	0.284265	−	0.0761686i	−0.113869	−	0.993496i	$-0.536324\pi$
$167$	613.477	−	164.381i	0.284265	−	0.0761686i	0.398134	+	0.917327i	$0.369658\pi$
$168$	−558.204	−	334.515i	−0.256348	−	0.153621i
$169$	3150.58	−	1818.99i	1.43404	−	0.827943i
$170$	−405.717	+	95.0318i	−0.183042	+	0.0428742i
$171$	2447.12	+	1521.18i	1.09436	+	0.680278i
$172$	−3727.88	+	3727.88i	−1.65260	+	1.65260i
$173$	686.713	+	184.004i	0.301791	+	0.0808646i	0.406537	−	0.913634i	$-0.366736\pi$
$173$	686.713	+	184.004i	0.301791	+	0.0808646i	−0.104746	+	0.994499i	$0.533403\pi$
$174$	−2745.27	−	2836.16i	−1.19608	−	1.23568i
$175$	−610.226	−	693.003i	−0.263593	−	0.299349i
$176$	143.695	+	82.9622i	0.0615420	+	0.0355313i
$177$	264.373	+	4.30529i	0.112268	+	0.00182828i
$178$	−1276.22	+	4762.91i	−0.537397	+	2.00559i
$179$	2690.52			1.12346			0.561730	−	0.827321i	$-0.310136\pi$
$179$	2690.52			1.12346			0.561730	+	0.827321i	$0.310136\pi$
$180$	3495.53	−	699.547i	1.44745	−	0.289673i
$181$	197.441			0.0810810			0.0405405	−	0.999178i	$-0.487092\pi$
$181$	197.441			0.0810810			0.0405405	+	0.999178i	$0.487092\pi$
$182$	−650.009	+	2425.87i	−0.264736	+	0.988007i
$183$	−192.939	+	321.958i	−0.0779371	+	0.130054i
$184$	−1557.52	−	899.232i	−0.624030	−	0.360284i
$185$	−441.925	+	236.788i	−0.175627	+	0.0941026i
$186$	2006.14	−	7027.26i	0.790846	−	2.77023i
$187$	70.5779	+	18.9113i	0.0275998	+	0.00739535i
$188$	1967.84	−	1967.84i	0.763402	−	0.763402i
$189$	−986.766	−	316.795i	−0.379771	−	0.121923i
$190$	−4512.42	−	2799.69i	−1.72298	−	1.06901i
$191$	306.085	−	176.718i	0.115956	−	0.0669470i	−0.440900	−	0.897556i	$-0.645341\pi$
$191$	306.085	−	176.718i	0.115956	−	0.0669470i	0.556856	+	0.830609i	$0.312007\pi$
$192$	3761.56	−	2090.82i	1.41389	−	0.785897i
$193$	1387.59	−	371.803i	0.517517	−	0.138668i	0.00939936	−	0.999956i	$-0.497008\pi$
$193$	1387.59	−	371.803i	0.517517	−	0.138668i	0.508118	+	0.861287i	$0.330341\pi$
$194$	−455.534	+	789.008i	−0.168585	+	0.291997i
$195$	−2031.89	−	3945.18i	−0.746188	−	1.44882i
$196$	1703.08	+	2949.82i	0.620655	+	1.07501i
$197$	−2647.40	−	2647.40i	−0.957458	−	0.957458i	0.0416736	−	0.999131i	$-0.486731\pi$
$197$	−2647.40	−	2647.40i	−0.957458	−	0.957458i	−0.999131	+	0.0416736i	$0.986731\pi$
$198$	−1003.45	−	304.220i	−0.360162	−	0.109192i
$199$			3785.65i			1.34853i	0.738488	+	0.674266i	$0.235540\pi$
$199$			3785.65i			1.34853i	−0.738488	+	0.674266i	$0.764460\pi$
$200$	−2077.68	+	417.639i	−0.734572	+	0.147658i
$201$	66.3090	−	64.1839i	0.0232690	−	0.0225233i
$202$	1277.05	+	4766.03i	0.444818	+	1.66008i
$203$	−326.316	−	1217.83i	−0.112822	−	0.421058i
$204$	369.215	−	357.382i	0.126717	−	0.122656i
$205$	2635.13	+	2807.81i	0.897781	+	0.956614i
$206$			1273.85i			0.430842i
$207$	−2740.94	−	830.983i	−0.920332	−	0.279021i
$208$	−1027.12	−	1027.12i	−0.342395	−	0.342395i
$209$	465.586	+	806.418i	0.154092	+	0.266895i
$210$	1819.10	+	582.305i	0.597763	+	0.191347i
$211$	676.890	−	1172.41i	0.220849	−	0.382521i	−0.734217	−	0.678915i	$-0.762451\pi$
$211$	676.890	−	1172.41i	0.220849	−	0.382521i	0.955066	+	0.296394i	$0.0957840\pi$
$212$	976.788	−	261.730i	0.316444	−	0.0847908i
$213$	497.734	−	276.660i	0.160114	−	0.0889974i
$214$	−4709.85	+	2719.24i	−1.50448	+	0.868613i
$215$	2631.44	−	4241.25i	0.834711	−	1.34535i
$216$	−1762.03	+	1597.77i	−0.555050	+	0.503308i
$217$	1650.59	−	1650.59i	0.516355	−	0.516355i
$218$	4259.17	+	1141.24i	1.32325	+	0.354563i
$219$	−291.126	+	1019.78i	−0.0898288	+	0.314659i
$220$	1102.77	+	333.308i	0.337950	+	0.102144i
$221$	−553.966	−	319.832i	−0.168614	−	0.0973496i
$222$	533.098	−	889.579i	0.161168	−	0.268940i
$223$	508.185	−	1896.57i	0.152604	−	0.569525i	−0.846695	−	0.532079i	$-0.821411\pi$
$223$	508.185	−	1896.57i	0.152604	−	0.569525i	0.999299	−	0.0374461i	$-0.0119222\pi$
$224$	1627.12			0.485341
$225$	−3071.13	+	1399.57i	−0.909963	+	0.414689i
$226$	337.255			0.0992648
$227$	−816.800	+	3048.34i	−0.238823	+	0.891301i	0.737564	+	0.675277i	$0.235976\pi$
$227$	−816.800	+	3048.34i	−0.238823	+	0.891301i	−0.976388	+	0.216025i	$0.930691\pi$
$228$	6547.62	+	106.627i	1.90187	+	0.0309718i
$229$	3455.23	+	1994.88i	0.997066	+	0.575656i	0.907379	−	0.420314i	$-0.138080\pi$
$229$	3455.23	+	1994.88i	0.997066	+	0.575656i	0.0896872	+	0.995970i	$0.471413\pi$
$230$	5052.86	+	1527.20i	1.44859	+	0.437829i
$231$	−232.938	−	240.651i	−0.0663472	−	0.0685439i
$232$	−2795.04	−	748.928i	−0.790962	−	0.211937i
$233$	−2166.38	+	2166.38i	−0.609118	+	0.609118i	−0.942715	−	0.333598i	$-0.891737\pi$
$233$	−2166.38	+	2166.38i	−0.609118	+	0.609118i	0.333598	+	0.942715i	$0.391737\pi$
$234$	7795.98	+	4846.15i	2.17795	+	1.35386i
$235$	−1389.06	+	2238.83i	−0.385585	+	0.621470i
$236$	520.409	−	300.458i	0.143541	−	0.0828736i
$237$	723.736	+	433.713i	0.198362	+	0.118872i
$238$	265.938	−	71.2579i	0.0724294	−	0.0194074i
$239$	−1946.01	+	3370.59i	−0.526682	+	0.912239i	0.472835	+	0.881151i	$0.343231\pi$
$239$	−1946.01	+	3370.59i	−0.526682	+	0.912239i	−0.999517	+	0.0310884i	$0.990103\pi$
$240$	−817.740	+	742.779i	−0.219937	+	0.199776i
$241$	−3291.66	−	5701.33i	−0.879812	−	1.52388i	−0.851547	−	0.524278i	$-0.824335\pi$
$241$	−3291.66	−	5701.33i	−0.879812	−	1.52388i	−0.0282647	−	0.999600i	$-0.508998\pi$
$242$	3949.26	+	3949.26i	1.04904	+	1.04904i
$243$	−2154.52	+	3115.60i	−0.568775	+	0.822493i
$244$			853.037i			0.223812i
$245$	−2206.80	−	2351.41i	−0.575458	−	0.613169i
$246$	−7659.22	−	2186.55i	−1.98510	−	0.566705i
$247$	−2109.86	−	7874.10i	−0.543511	−	2.02841i
$248$	−1386.60	−	5174.85i	−0.355036	−	1.32501i
$249$	−365.921	−	1460.35i	−0.0931297	−	0.371670i
$250$	5657.88	−	2584.23i	1.43134	−	0.653765i
$251$			6323.18i			1.59010i	0.606543	+	0.795051i	$0.292556\pi$
$251$			6323.18i			1.59010i	−0.606543	+	0.795051i	$0.707444\pi$
$252$	−2293.74	+	535.206i	−0.573380	+	0.133789i
$253$	−654.497	−	654.497i	−0.162640	−	0.162640i
$254$	−3412.08	−	5909.89i	−0.842885	−	1.45992i
$255$	−263.177	+	409.152i	−0.0646306	+	0.100479i
$256$	968.943	−	1678.26i	0.236558	−	0.409731i
$257$	−1363.16	+	365.257i	−0.330861	+	0.0886541i	−0.420426	−	0.907327i	$-0.638119\pi$
$257$	−1363.16	+	365.257i	−0.330861	+	0.0886541i	0.0895642	+	0.995981i	$0.471453\pi$
$258$	−168.112	+	10323.2i	−0.0405666	+	2.49106i
$259$	286.879	−	165.630i	0.0688255	−	0.0397364i
$260$	−8569.98	−	5317.17i	−2.04418	−	1.26829i
$261$	−4605.81	−	150.050i	−1.09231	−	0.0355857i
$262$	5143.45	−	5143.45i	1.21284	−	1.21284i
$263$	317.317	+	85.0248i	0.0743977	+	0.0199348i	0.295826	−	0.955242i	$-0.404405\pi$
$263$	317.317	+	85.0248i	0.0743977	+	0.0199348i	−0.221428	+	0.975177i	$0.571072\pi$
$264$	−745.628	+	186.833i	−0.173827	+	0.0435559i
$265$	−843.889	+	452.164i	−0.195621	+	0.104816i
$266$	3038.59	+	1754.33i	0.700405	+	0.404379i
$267$	2796.81	+	5031.70i	0.641057	+	1.15331i
$268$	54.2832	−	202.588i	0.0123727	−	0.0461754i
$269$	764.226			0.173218			0.0866091	−	0.996242i	$-0.472397\pi$
$269$	764.226			0.173218			0.0866091	+	0.996242i	$0.472397\pi$
$270$	3965.88	−	5745.42i	0.893911	−	1.29502i
$271$	4645.09			1.04121			0.520607	−	0.853797i	$-0.325706\pi$
$271$	4645.09			1.04121			0.520607	+	0.853797i	$0.325706\pi$
$272$	−41.2142	+	153.813i	−0.00918742	+	0.0342879i
$273$	1424.49	+	2562.76i	0.315801	+	0.568152i
$274$	−8816.19	−	5090.03i	−1.94382	−	1.12226i
$275$	−1088.50	−	69.1375i	−0.238687	−	0.0151605i
$276$	−6314.10	+	1582.13i	−1.37704	+	0.345047i
$277$	5783.77	+	1549.76i	1.25456	+	0.336158i	0.824096	−	0.566450i	$-0.191684\pi$
$277$	5783.77	+	1549.76i	1.25456	+	0.336158i	0.430463	+	0.902608i	$0.358350\pi$
$278$	−6887.13	+	6887.13i	−1.48584	+	1.48584i
$279$	−4023.11	−	7523.85i	−0.863288	−	1.61448i
$280$	1363.32	−	319.333i	0.290978	−	0.0681563i
$281$	4201.11	−	2425.51i	0.891877	−	0.514925i	0.0173209	−	0.999850i	$-0.494486\pi$
$281$	4201.11	−	2425.51i	0.891877	−	0.514925i	0.874556	+	0.484925i	$0.161153\pi$
$282$	88.7415	−	5449.31i	0.0187393	−	1.15071i
$283$	−345.530	+	92.5845i	−0.0725782	+	0.0194473i	−0.294925	−	0.955520i	$-0.595295\pi$
$283$	−345.530	+	92.5845i	−0.0725782	+	0.0194473i	0.222347	+	0.974968i	$0.428628\pi$
$284$	647.098	−	1120.81i	0.135205	−	0.234182i
$285$	−6058.60	+	1315.43i	−1.25923	+	0.273402i
$286$	1483.25	+	2569.07i	0.306667	+	0.531162i
$287$	−1799.02	−	1799.02i	−0.370010	−	0.370010i
$288$	1725.48	−	5691.39i	0.353039	−	1.16447i
$289$		−	4842.88i		−	0.985727i
$290$	8488.74	+	269.316i	1.71888	+	0.0545336i
$291$	258.528	+	1031.75i	0.0520796	+	0.207844i
$292$	623.814	+	2328.11i	0.125020	+	0.466582i
$293$	−2206.15	−	8233.45i	−0.439879	−	1.64165i	−0.729114	−	0.684392i	$-0.760068\pi$
$293$	−2206.15	−	8233.45i	−0.439879	−	1.64165i	0.289236	−	0.957258i	$-0.406599\pi$
$294$	6414.25	+	1831.14i	1.27240	+	0.363245i
$295$	−414.838	+	389.325i	−0.0818740	+	0.0768386i
$296$		−	760.273i		−	0.149290i
$297$	−1088.78	+	559.581i	−0.212718	+	0.109327i
$298$	−1960.24	−	1960.24i	−0.381052	−	0.381052i
$299$	4051.54	+	7017.48i	0.783635	+	1.35730i
$300$	−4351.94	+	6316.20i	−0.837531	+	1.21555i
$301$	−1648.90	+	2855.98i	−0.315751	+	0.546897i
$302$	−8675.77	+	2324.67i	−1.65310	+	0.442946i
$303$	4941.19	+	2961.10i	0.936844	+	0.561422i
$304$	−1757.46	+	1014.67i	−0.331570	+	0.191432i
$305$	−184.183	−	786.327i	−0.0345779	−	0.147623i
$306$	32.7665	−	1005.77i	0.00612137	−	0.187896i
$307$	−6239.03	+	6239.03i	−1.15987	+	1.15987i	−0.175367	+	0.984503i	$0.556111\pi$
$307$	−6239.03	+	6239.03i	−1.15987	+	1.15987i	−0.984503	+	0.175367i	$0.943889\pi$
$308$	−735.237	−	197.006i	−0.136020	−	0.0364463i
$309$	1034.34	+	1068.59i	0.190426	+	0.196730i
$310$	7426.39	+	13860.1i	1.36062	+	2.53936i
$311$	−1983.11	−	1144.95i	−0.361582	−	0.208760i	0.308192	−	0.951324i	$-0.400276\pi$
$311$	−1983.11	−	1144.95i	−0.361582	−	0.208760i	−0.669775	+	0.742565i	$0.733609\pi$
$312$	6728.45	+	109.572i	1.22091	+	0.0198824i
$313$	1583.94	−	5911.34i	0.286037	−	1.06750i	−0.662042	−	0.749467i	$-0.730310\pi$
$313$	1583.94	−	5911.34i	0.286037	−	1.06750i	0.948079	−	0.318036i	$-0.103023\pi$
$314$	3137.38			0.563862
$315$	1998.80	−	988.601i	0.357522	−	0.176830i
$316$	1917.56			0.341365
$317$	2327.37	−	8685.87i	0.412361	−	1.53895i	−0.377704	−	0.925927i	$-0.623286\pi$
$317$	2327.37	−	8685.87i	0.412361	−	1.53895i	0.790064	−	0.613024i	$-0.210047\pi$
$318$	1017.99	−	1698.72i	0.179516	−	0.299558i
$319$	−1289.72	−	744.620i	−0.226365	−	0.130692i
$320$	−2679.05	+	8863.84i	−0.468011	+	1.54845i
$321$	−1742.96	+	6105.37i	−0.303061	+	1.06158i
$322$	−3368.82	−	902.673i	−0.583035	−	0.156224i
$323$	−631.910	+	631.910i	−0.108856	+	0.108856i
$324$	−560.337	+	8590.67i	−0.0960797	+	1.47302i
$325$	9047.83	+	3050.97i	1.54426	+	0.520730i
$326$	−2324.46	+	1342.03i	−0.394909	+	0.228001i
$327$	4499.53	−	2501.01i	0.760931	−	0.422955i
$328$	−5640.22	+	1511.29i	−0.949479	+	0.254412i
$329$	870.409	−	1507.59i	0.145858	−	0.252633i
$330$	2005.74	−	1033.02i	0.334582	−	0.172320i
$331$	368.018	+	637.425i	0.0611120	+	0.105849i	0.894963	−	0.446141i	$-0.147202\pi$
$331$	368.018	+	637.425i	0.0611120	+	0.105849i	−0.833851	+	0.551990i	$0.813869\pi$
$332$	−2419.38	−	2419.38i	−0.399942	−	0.399942i
$333$	−275.124	−	1179.10i	−0.0452754	−	0.194037i
$334$		−	2826.75i		−	0.463093i
$335$	−6.29655	+	198.465i	−0.00102692	+	0.0323681i
$336$	524.460	−	507.652i	0.0851537	−	0.0824247i
$337$	1168.46	+	4360.75i	0.188873	+	0.704883i	0.993768	+	0.111466i	$0.0355546\pi$
$337$	1168.46	+	4360.75i	0.188873	+	0.704883i	−0.804896	+	0.593417i	$0.797779\pi$
$338$	−4190.74	−	15640.0i	−0.674396	−	2.51688i
$339$	282.910	−	273.844i	0.0453262	−	0.0438736i
$340$	−35.0598	+	1105.07i	−0.00559231	+	0.176268i
$341$		−	2757.25i		−	0.437869i
$342$	9358.64	−	8768.10i	1.47970	−	1.38633i
$343$	3298.23	+	3298.23i	0.519207	+	0.519207i
$344$	3784.39	+	6554.76i	0.593141	+	1.02735i
$345$	5478.71	−	2821.70i	0.854968	−	0.440335i
$346$	1582.11	−	2740.29i	0.245822	−	0.425777i
$347$	−3929.82	+	1052.99i	−0.607964	+	0.162904i	−0.549651	−	0.835395i	$-0.685239\pi$
$347$	−3929.82	+	1052.99i	−0.607964	+	0.162904i	−0.0583140	+	0.998298i	$0.518572\pi$
$348$	−9154.05	+	5088.18i	−1.41008	+	0.783779i
$349$	−2120.49	+	1224.26i	−0.325235	+	0.187775i	−0.653724	−	0.756733i	$-0.726794\pi$
$349$	−2120.49	+	1224.26i	−0.325235	+	0.187775i	0.328489	+	0.944508i	$0.393461\pi$
$350$	−3682.23	+	1825.13i	−0.562353	+	0.278735i
$351$	10474.7	−	2264.92i	1.59288	−	0.344424i
$352$	1359.02	−	1359.02i	0.205784	−	0.205784i
$353$	−10497.9	−	2812.90i	−1.58285	−	0.424123i	−0.643043	−	0.765830i	$-0.722328\pi$
$353$	−10497.9	−	2812.90i	−1.58285	−	0.424123i	−0.939807	+	0.341707i	$0.888995\pi$
$354$	323.051	−	1131.61i	0.0485027	−	0.169899i
$355$	−354.495	+	1172.87i	−0.0529989	+	0.175351i
$356$	11330.5	+	6541.64i	1.68683	+	0.973894i
$357$	165.226	−	275.712i	0.0244949	−	0.0408745i
$358$	3099.32	−	11566.8i	0.457554	−	1.70762i
$359$	6928.63			1.01861			0.509303	−	0.860587i	$-0.329903\pi$
$359$	6928.63			1.01861			0.509303	+	0.860587i	$0.329903\pi$
$360$	328.763	−	5107.30i	0.0481315	−	0.747718i
$361$	−4529.72			−0.660406
$362$	227.440	−	848.818i	0.0330221	−	0.123240i
$363$	6519.61	+	106.171i	0.942674	+	0.0153514i
$364$	5770.88	+	3331.82i	0.830978	+	0.479766i
$365$	−1077.70	−	2011.35i	−0.154546	−	0.288435i
$366$	1161.87	+	1200.34i	0.165935	+	0.171429i
$367$	−9084.65	−	2434.22i	−1.29214	−	0.346227i	−0.453666	−	0.891172i	$-0.649884\pi$
$367$	−9084.65	−	2434.22i	−1.29214	−	0.346227i	−0.838472	+	0.544944i	$0.816551\pi$
$368$	1426.37	−	1426.37i	0.202051	−	0.202051i
$369$	−8200.47	+	4384.91i	−1.15691	+	0.618615i
$370$	508.903	+	2172.65i	0.0715043	+	0.305272i
$371$	547.817	−	316.282i	0.0766610	−	0.0442603i
$372$	−16632.5	−	9967.34i	−2.31816	−	1.38920i
$373$	−5601.71	+	1500.97i	−0.777602	+	0.208358i	−0.625727	−	0.780042i	$-0.715198\pi$
$373$	−5601.71	+	1500.97i	−0.777602	+	0.208358i	−0.151875	+	0.988400i	$0.548531\pi$
$374$	162.603	−	281.637i	0.0224813	−	0.0389388i
$375$	2647.85	−	6761.90i	0.364625	−	0.931155i
$376$	−1997.67	−	3460.07i	−0.273995	−	0.474573i
$377$	9218.86	+	9218.86i	1.25940	+	1.25940i
$378$	−2498.63	+	3877.28i	−0.339989	+	0.527581i
$379$		−	6617.31i		−	0.896856i	−0.893819	−	0.448428i	$-0.851984\pi$
$379$		−	6617.31i		−	0.896856i	0.893819	−	0.448428i	$-0.148016\pi$
$380$	−10274.1	+	9642.26i	−1.38698	+	1.30168i
$381$	−7660.97	−	2187.05i	−1.03014	−	0.294084i
$382$	−407.137	−	1519.46i	−0.0545313	−	0.203514i
$383$	3218.73	+	12012.4i	0.429423	+	1.60263i	0.754070	+	0.656795i	$0.228088\pi$
$383$	3218.73	+	12012.4i	0.429423	+	1.60263i	−0.324646	+	0.945836i	$0.605245\pi$
$384$	−2430.06	−	9698.10i	−0.322939	−	1.28881i
$385$	720.276	+	22.8516i	0.0953471	+	0.00302500i
$386$		−	6393.68i		−	0.843082i
$387$	8241.18	+	8796.23i	1.08249	+	1.15539i
$388$	1709.32	+	1709.32i	0.223654	+	0.223654i
$389$	−4995.39	−	8652.28i	−0.651096	−	1.12773i	−0.982857	−	0.184369i	$-0.940976\pi$
$389$	−4995.39	−	8652.28i	−0.651096	−	1.12773i	0.331761	−	0.943364i	$-0.392357\pi$
$390$	−19301.4	+	4190.69i	−2.50606	+	0.544112i
$391$	444.154	−	769.297i	0.0574471	−	0.0995014i
$392$	4723.43	−	1265.64i	0.608595	−	0.163073i
$393$	138.276	−	8491.02i	0.0177483	−	1.08986i
$394$	−14431.1	+	8331.78i	−1.84524	+	1.06535i
$395$	−1767.60	+	414.029i	−0.225159	+	0.0527393i
$396$	−1468.78	+	2362.82i	−0.186386	+	0.299839i
$397$	1248.70	−	1248.70i	0.157860	−	0.157860i	−0.623758	−	0.781618i	$-0.714395\pi$
$397$	1248.70	−	1248.70i	0.157860	−	0.157860i	0.781618	+	0.623758i	$0.214395\pi$
$398$	16274.9	+	4360.85i	2.04972	+	0.549220i
$399$	3973.44	−	995.628i	0.498548	−	0.124922i
$400$	150.674	−	2372.21i	0.0188343	−	0.296527i
$401$	7999.65	+	4618.60i	0.996218	+	0.575166i	0.907127	−	0.420857i	$-0.138271\pi$
$401$	7999.65	+	4618.60i	0.996218	+	0.575166i	0.0890905	+	0.996024i	$0.471604\pi$
$402$	−199.549	−	359.005i	−0.0247577	−	0.0445412i
$403$	−6247.40	+	23315.6i	−0.772221	+	2.88197i
$404$	13091.8			1.61224
$405$	−1338.33	−	8039.84i	−0.164203	−	0.986427i
$406$	−5611.47			−0.685942
$407$	101.271	−	377.950i	0.0123338	−	0.0460302i
$408$	−358.403	−	644.797i	−0.0434892	−	0.0782407i
$409$	2817.50	+	1626.68i	0.340626	+	0.196661i	0.660549	−	0.750783i	$-0.270324\pi$
$409$	2817.50	+	1626.68i	0.340626	+	0.196661i	−0.319923	+	0.947444i	$0.603657\pi$
$410$	15106.6	−	8094.24i	1.81966	−	0.974990i
$411$	−11528.6	+	2888.73i	−1.38361	+	0.346692i
$412$	3264.75	+	874.787i	0.390395	+	0.104606i
$413$	265.796	−	265.796i	0.0316681	−	0.0316681i
$414$	−6729.89	+	10826.3i	−0.798927	+	1.28523i
$415$	2752.55	+	1707.80i	0.325584	+	0.202006i
$416$	−14571.3	+	8412.77i	−1.71735	+	0.991514i
$417$	−185.152	+	11369.6i	−0.0217433	+	1.33518i
$418$	4003.20	−	1072.65i	0.468428	−	0.125515i
$419$	−1840.03	+	3187.02i	−0.214537	+	0.371590i	−0.953129	−	0.302563i	$-0.902158\pi$
$419$	−1840.03	+	3187.02i	−0.214537	+	0.371590i	0.738592	+	0.674153i	$0.235491\pi$
$420$	2741.62	−	4262.30i	0.318517	−	0.495188i
$421$	−3430.26	−	5941.39i	−0.397104	−	0.687804i	0.596263	−	0.802789i	$-0.296651\pi$
$421$	−3430.26	−	5941.39i	−0.397104	−	0.687804i	−0.993367	+	0.114985i	$0.963318\pi$
$422$	−4260.56	−	4260.56i	−0.491472	−	0.491472i
$423$	−4350.28	−	4643.28i	−0.500043	−	0.533721i
$424$		−	1451.80i		−	0.166287i
$425$	−206.283	−	1026.22i	−0.0235440	−	0.117127i
$426$	−616.030	−	2458.50i	−0.0700628	−	0.279613i
$427$	138.106	+	515.419i	0.0156520	+	0.0584142i
$428$	3734.74	+	13938.3i	0.421789	+	1.57414i
$429$	3330.28	+	950.728i	0.374796	+	0.106997i
$430$	−15202.3	−	16198.5i	−1.70493	−	1.81665i
$431$			3116.28i			0.348273i	0.984722	+	0.174137i	$0.0557134\pi$
$431$			3116.28i			0.348273i	−0.984722	+	0.174137i	$0.944287\pi$
$432$	−1219.52	−	2372.82i	−0.135820	−	0.264264i
$433$	526.507	+	526.507i	0.0584349	+	0.0584349i	0.735720	−	0.677285i	$-0.236844\pi$
$433$	526.507	+	526.507i	0.0584349	+	0.0584349i	−0.677285	+	0.735720i	$0.736844\pi$
$434$	−5194.66	−	8997.41i	−0.574543	−	0.995137i
$435$	7339.56	−	6666.76i	0.808977	−	0.734820i
$436$	5849.77	−	10132.1i	0.642554	−	1.11294i
$437$	10934.8	−	2929.98i	1.19699	−	0.320732i
$438$	4048.77	+	2426.31i	0.441685	+	0.264688i
$439$	3213.40	−	1855.26i	0.349356	−	0.201701i	−0.315046	−	0.949076i	$-0.602020\pi$
$439$	3213.40	−	1855.26i	0.349356	−	0.201701i	0.664401	+	0.747376i	$0.268687\pi$
$440$	871.971	−	1405.41i	0.0944764	−	0.152273i
$441$	6867.52	−	3672.16i	0.741553	−	0.396519i
$442$	−2013.13	+	2013.13i	−0.216640	+	0.216640i
$443$	−1898.77	−	508.773i	−0.203641	−	0.0545655i	0.155556	−	0.987827i	$-0.450283\pi$
$443$	−1898.77	−	508.773i	−0.203641	−	0.0545655i	−0.359198	+	0.933261i	$0.616950\pi$
$444$	−1913.81	−	1977.17i	−0.204562	−	0.211335i
$445$	−11856.8	−	3583.66i	−1.26307	−	0.381757i
$446$	−7568.16	−	4369.48i	−0.803504	−	0.463903i
$447$	−3236.05	−	52.6987i	−0.342415	−	0.00557621i
$448$	1583.49	−	5909.67i	0.166993	−	0.623226i
$449$	−6556.48			−0.689131			−0.344565	−	0.938762i	$-0.611974\pi$
$449$	−6556.48			−0.689131			−0.344565	+	0.938762i	$0.611974\pi$
$450$	2479.16	+	14815.3i	0.259708	+	1.55200i
$451$	−3005.20			−0.313768
$452$	231.602	−	864.350i	0.0241010	−	0.0899460i
$453$	−5390.20	+	8994.62i	−0.559059	+	0.932901i
$454$	12164.2	+	7023.01i	1.25748	+	0.726005i
$455$	−6038.96	−	1825.24i	−0.622222	−	0.188063i
$456$	2580.79	−	9040.18i	0.265036	−	0.928389i
$457$	12355.7	+	3310.69i	1.26471	+	0.338879i	0.828003	−	0.560724i	$-0.189477\pi$
$457$	12355.7	+	3310.69i	1.26471	+	0.338879i	0.436710	+	0.899603i	$0.356144\pi$
$458$	12556.4	−	12556.4i	1.28105	−	1.28105i
$459$	−789.180	−	870.311i	−0.0802522	−	0.0885025i
$460$	7383.99	−	11901.2i	0.748436	−	1.20630i
$461$	−1996.02	+	1152.40i	−0.201657	+	0.116427i	−0.597428	−	0.801922i	$-0.703811\pi$
$461$	−1996.02	+	1152.40i	−0.201657	+	0.116427i	0.395771	+	0.918349i	$0.370477\pi$
$462$	−1302.91	+	724.210i	−0.131206	+	0.0729292i
$463$	−1195.40	+	320.306i	−0.119989	+	0.0321509i	−0.318314	−	0.947985i	$-0.603117\pi$
$463$	−1195.40	+	320.306i	−0.119989	+	0.0321509i	0.198325	+	0.980136i	$0.436450\pi$
$464$	1622.78	−	2810.74i	0.162362	−	0.281219i
$465$	17483.9	+	5596.68i	1.74364	+	0.558150i
$466$	6817.95	+	11809.0i	0.677759	+	1.17391i
$467$	3769.54	+	3769.54i	0.373519	+	0.373519i	0.868757	−	0.495238i	$-0.164919\pi$
$467$	3769.54	+	3769.54i	0.373519	+	0.373519i	−0.495238	+	0.868757i	$0.664919\pi$
$468$	17773.9	−	16652.3i	1.75555	−	1.64478i
$469$		−	131.195i		−	0.0129169i
$470$	8024.85	+	8550.73i	0.787572	+	0.839182i
$471$	2631.83	−	2547.49i	0.257470	−	0.249219i
$472$	−223.285	−	833.312i	−0.0217744	−	0.0812633i
$473$	1008.19	+	3762.63i	0.0980058	+	0.365763i
$474$	2698.28	−	2611.80i	0.261468	−	0.253089i
$475$	7388.76	−	11106.5i	0.713725	−	1.07285i
$476$		−	730.507i		−	0.0703419i
$477$	−525.369	−	2251.58i	−0.0504298	−	0.216127i
$478$	12248.8	+	12248.8i	1.17207	+	1.17207i
$479$	−1205.53	−	2088.04i	−0.114994	−	0.199175i	0.802783	−	0.596271i	$-0.203352\pi$
$479$	−1205.53	−	2088.04i	−0.114994	−	0.199175i	−0.917777	+	0.397096i	$0.870018\pi$
$480$	5859.09	+	11376.2i	0.557145	+	1.08177i
$481$	−1712.73	+	2966.53i	−0.162357	+	0.281210i
$482$	−28302.4	+	7583.60i	−2.67456	+	0.716646i
$483$	−3558.93	+	1978.19i	−0.335273	+	0.186358i
$484$	12833.6	−	7409.49i	1.20526	−	0.695858i
$485$	−1944.71	−	1206.58i	−0.182072	−	0.112965i
$486$	10912.4	+	12851.5i	1.01851	+	1.19950i
$487$	−13278.0	+	13278.0i	−1.23549	+	1.23549i	−0.273666	+	0.961825i	$0.588236\pi$
$487$	−13278.0	+	13278.0i	−1.23549	+	1.23549i	−0.961825	+	0.273666i	$0.911764\pi$
$488$	1182.94	+	316.967i	0.109732	+	0.0294025i
$489$	−860.207	+	3013.20i	−0.0795499	+	0.278653i
$490$	−12651.1	+	6778.56i	−1.16636	+	0.624947i
$491$	−4882.30	−	2818.80i	−0.448748	−	0.259085i	0.258553	−	0.965997i	$-0.416754\pi$
$491$	−4882.30	−	2818.80i	−0.448748	−	0.259085i	−0.707301	+	0.706912i	$0.750088\pi$
$492$	−10863.7	+	18128.2i	−0.995474	+	1.66115i
$493$	369.915	−	1380.54i	0.0337934	−	0.126119i
$494$	−36282.0			−3.30446
$495$	843.750	−	2495.17i	0.0766136	−	0.226565i
$496$	6008.99			0.543975
$497$	209.529	−	781.973i	0.0189108	−	0.0705760i
$498$	−6699.70	−	109.104i	−0.602853	−	0.00981741i
$499$	5518.24	+	3185.96i	0.495051	+	0.285818i	0.726667	−	0.686990i	$-0.241068\pi$
$499$	5518.24	+	3185.96i	0.495051	+	0.285818i	−0.231617	+	0.972807i	$0.574402\pi$
$500$	−2737.70	−	16275.2i	−0.244868	−	1.45570i
$501$	−2295.27	−	2371.26i	−0.204680	−	0.211457i
$502$	27184.0	+	7283.92i	2.41689	+	0.647604i
$503$	5861.56	−	5861.56i	0.519591	−	0.519591i	−0.397857	−	0.917448i	$-0.630246\pi$
$503$	5861.56	−	5861.56i	0.519591	−	0.519591i	0.917448	+	0.397857i	$0.130246\pi$
$504$	−110.104	+	3379.67i	−0.00973104	+	0.298695i
$505$	−12068.0	+	2826.71i	−1.06340	+	0.249083i
$506$	−3567.69	+	2059.81i	−0.313445	+	0.180968i
$507$	−16214.8	−	9717.06i	−1.42037	−	0.851183i
$508$	−17489.6	+	4686.33i	−1.52751	+	0.409296i
$509$	−10716.8	+	18562.0i	−0.933228	+	1.61640i	−0.155465	+	0.987841i	$0.549688\pi$
$509$	−10716.8	+	18562.0i	−0.933228	+	1.61640i	−0.777763	+	0.628557i	$0.783646\pi$
$510$	1455.82	+	1602.74i	0.126402	+	0.139158i
$511$	753.837	+	1305.68i	0.0652598	+	0.113033i
$512$	4785.52	+	4785.52i	0.413070	+	0.413070i
$513$	731.103	−	14954.3i	0.0629220	−	1.28703i
$514$			6281.10i			0.539003i
$515$	−3198.31	−	101.470i	−0.273659	−	0.00868218i
$516$	26341.8	+	7520.05i	2.24735	+	0.641573i
$517$	−532.196	−	1986.18i	−0.0452727	−	0.168960i
$518$	−381.591	−	1424.12i	−0.0323671	−	0.120796i
$519$	−897.886	−	3583.36i	−0.0759399	−	0.303068i
$520$	−10557.9	+	9908.55i	−0.890372	+	0.835613i
$521$		−	18398.8i		−	1.54715i	−0.633703	−	0.773577i	$-0.718466\pi$
$521$		−	18398.8i		−	1.54715i	0.633703	−	0.773577i	$-0.281534\pi$
$522$	−5950.70	+	19628.0i	−0.498956	+	1.64577i
$523$	−12039.3	−	12039.3i	−1.00658	−	1.00658i	−0.999978	−	0.00659910i	$-0.997899\pi$
$523$	−12039.3	−	12039.3i	−1.00658	−	1.00658i	−0.00659910	−	0.999978i	$-0.502101\pi$
$524$	−9649.99	−	16714.3i	−0.804508	−	1.39345i
$525$	−1606.92	+	4520.93i	−0.133585	+	0.375827i
$526$	731.060	−	1266.23i	0.0606003	−	0.104963i
$527$	2555.99	−	684.877i	0.211273	−	0.0566104i
$528$	14.0385	−	862.054i	0.00115709	−	0.0710532i
$529$	791.700	−	457.088i	0.0650695	−	0.0375679i
$530$	971.787	+	4148.83i	0.0796448	+	0.340026i
$531$	−647.846	−	1211.57i	−0.0529456	−	0.0990166i
$532$	6582.85	−	6582.85i	0.536471	−	0.536471i
$533$	25412.4	+	6809.22i	2.06516	+	0.553359i
$534$	24853.5	−	6227.57i	2.01408	−	0.504669i
$535$	−6452.14	−	12041.9i	−0.521402	−	0.973112i
$536$	−260.765	−	150.553i	−0.0210137	−	0.0121322i
$537$	−6792.12	−	12219.6i	−0.545813	−	0.981962i
$538$	880.343	−	3285.49i	0.0705470	−	0.263285i
$539$	2516.72			0.201119
$540$	−12001.5	−	14109.7i	−0.956409	−	1.12442i
$541$	11737.9			0.932811			0.466405	−	0.884571i	$-0.345549\pi$
$541$	11737.9			0.932811			0.466405	+	0.884571i	$0.345549\pi$
$542$	5350.86	−	19969.7i	0.424058	−	1.58260i
$543$	−498.431	−	896.719i	−0.0393918	−	0.0708690i
$544$	1597.40	+	922.257i	0.125897	+	0.0726865i
$545$	−3204.64	+	10602.8i	−0.251875	+	0.833346i
$546$	12658.5	−	3171.85i	0.992187	−	0.248613i
$547$	−8392.40	−	2248.74i	−0.656002	−	0.175775i	−0.0845610	−	0.996418i	$-0.526949\pi$
$547$	−8392.40	−	2248.74i	−0.656002	−	0.175775i	−0.571441	+	0.820643i	$0.693615\pi$
$548$	−19099.6	+	19099.6i	−1.48886	+	1.48886i
$549$	1949.31	+	63.5054i	0.151538	+	0.00493687i
$550$	−1551.11	+	4599.92i	−0.120254	+	0.356621i
$551$	15774.0	−	9107.10i	1.21959	−	0.704130i
$552$	−152.164	+	9343.85i	−0.0117328	+	0.720472i
$553$	1158.62	−	310.452i	0.0890951	−	0.0238730i
$554$	13325.1	−	23079.8i	1.02189	−	1.76997i
$555$	2191.04	+	1409.33i	0.167576	+	0.107789i
$556$	12921.4	+	22380.6i	0.985595	+	1.70710i
$557$	−3736.22	−	3736.22i	−0.284217	−	0.284217i	0.550571	−	0.834788i	$-0.314410\pi$
$557$	−3736.22	−	3736.22i	−0.284217	−	0.284217i	−0.834788	+	0.550571i	$0.814410\pi$
$558$	−36980.2	+	8628.73i	−2.80555	+	0.654629i
$559$		−	34101.6i		−	2.58022i
$560$	−49.8015	+	1569.73i	−0.00375803	+	0.118452i
$561$	−92.2815	−	368.285i	−0.00694497	−	0.0277166i
$562$	−5588.10	−	20855.1i	−0.419430	−	1.56533i
$563$	−2537.76	−	9471.07i	−0.189972	−	0.708984i	−0.993511	−	0.113733i	$-0.963719\pi$
$563$	−2537.76	−	9471.07i	−0.189972	−	0.708984i	0.803540	−	0.595251i	$-0.202947\pi$
$564$	−13905.1	−	3969.62i	−1.03814	−	0.296367i
$565$	−26.8645	+	846.761i	−0.00200035	+	0.0630504i
$566$			1592.12i			0.118236i
$567$	1052.26	+	5281.34i	0.0779377	+	0.391174i
$568$	−1313.81	−	1313.81i	−0.0970536	−	0.0970536i
$569$	5188.49	+	8986.72i	0.382272	+	0.662114i	0.991387	−	0.130968i	$-0.0418084\pi$
$569$	5188.49	+	8986.72i	0.382272	+	0.662114i	−0.609115	+	0.793082i	$0.708475\pi$
$570$	−1323.96	+	27561.8i	−0.0972886	+	2.02533i
$571$	2372.48	−	4109.26i	0.173880	−	0.301168i	−0.765893	−	0.642968i	$-0.777703\pi$
$571$	2372.48	−	4109.26i	0.173880	−	0.301168i	0.939773	+	0.341799i	$0.111036\pi$
$572$	7602.86	−	2037.18i	0.555755	−	0.148914i
$573$	−1575.30	−	944.030i	−0.114850	−	0.0688262i
$574$	−9806.54	+	5661.81i	−0.713096	+	0.411706i
$575$	−4236.90	+	12564.8i	−0.307289	+	0.911284i
$576$	−18991.8	−	11805.7i	−1.37383	−	0.854002i
$577$	2575.02	−	2575.02i	0.185788	−	0.185788i	−0.608085	−	0.793872i	$-0.708062\pi$
$577$	2575.02	−	2575.02i	0.185788	−	0.185788i	0.793872	+	0.608085i	$0.208062\pi$
$578$	−20820.0	−	5578.70i	−1.49827	−	0.401459i
$579$	−5191.53	−	5363.42i	−0.372630	−	0.384967i
$580$	6519.67	−	21570.8i	0.466749	−	1.54428i
$581$	−1853.52	−	1070.13i	−0.132353	−	0.0764140i
$582$	4733.42	+	77.0834i	0.337125	+	0.00549005i
$583$	193.385	−	721.724i	0.0137379	−	0.0512706i
$584$	3460.26			0.245182
$585$	−12788.4	+	19187.7i	−0.903824	+	1.35609i
$586$	−37937.8			−2.67439
$587$	−2355.29	+	8790.07i	−0.165610	+	0.618067i	0.832351	+	0.554249i	$0.186994\pi$
$587$	−2355.29	+	8790.07i	−0.165610	+	0.618067i	−0.997962	+	0.0638179i	$0.979672\pi$
$588$	9097.86	−	15181.6i	0.638077	−	1.06476i
$589$	29204.6	+	16861.3i	2.04305	+	1.17955i
$590$	1195.88	+	2231.91i	0.0834467	+	0.155740i
$591$	−5340.45	+	18706.9i	−0.371704	+	1.30203i
$592$	823.683	+	220.705i	0.0571844	+	0.0153225i
$593$	−9619.29	+	9619.29i	−0.666133	+	0.666133i	−0.956819	−	0.290686i	$-0.906117\pi$
$593$	−9619.29	+	9619.29i	−0.666133	+	0.666133i	0.290686	+	0.956819i	$0.406117\pi$
$594$	1151.49	+	5325.36i	0.0795390	+	0.367849i
$595$	157.727	+	673.379i	0.0108675	+	0.0463964i
$596$	−6370.05	+	3677.75i	−0.437797	+	0.252762i
$597$	17193.3	−	9556.73i	1.17869	−	0.655161i
$598$	34836.0	−	9334.27i	2.38219	−	0.638306i
$599$	339.119	−	587.372i	0.0231320	−	0.0400657i	−0.854228	−	0.519899i	$-0.825970\pi$
$599$	339.119	−	587.372i	0.0231320	−	0.0400657i	0.877360	+	0.479833i	$0.159303\pi$
$600$	7141.82	+	8381.92i	0.485940	+	0.570317i
$601$	−4560.19	−	7898.48i	−0.309508	−	0.536083i	0.668747	−	0.743490i	$-0.266831\pi$
$601$	−4560.19	−	7898.48i	−0.309508	−	0.536083i	−0.978255	+	0.207407i	$0.933498\pi$
$602$	10378.7	+	10378.7i	0.702666	+	0.702666i
$603$	−458.899	−	139.126i	−0.0309914	−	0.00939579i
$604$			23831.5i			1.60545i
$605$	−10230.2	+	9601.01i	−0.687464	+	0.645184i
$606$	18422.0	−	17831.6i	1.23489	−	1.19532i
$607$	−3566.69	−	13311.1i	−0.238497	−	0.890082i	−0.976541	−	0.215330i	$-0.930917\pi$
$607$	−3566.69	−	13311.1i	−0.238497	−	0.890082i	0.738045	−	0.674752i	$-0.235749\pi$
$608$	6083.91	+	22705.5i	0.405815	+	1.51452i
$609$	−4707.25	+	4556.39i	−0.313214	+	0.303176i
$610$	−3592.67	−	113.982i	−0.238464	−	0.00756555i
$611$			18001.3i			1.19190i
$612$	−2555.19	−	774.669i	−0.168771	−	0.0511669i
$613$	7501.39	+	7501.39i	0.494255	+	0.494255i	0.909644	−	0.415389i	$-0.136355\pi$
$613$	7501.39	+	7501.39i	0.494255	+	0.494255i	−0.415389	+	0.909644i	$0.636355\pi$
$614$	19635.2	+	34009.2i	1.29057	+	2.23534i
$615$	6099.98	−	19056.2i	0.399959	−	1.24946i
$616$	−546.390	+	946.376i	−0.0357381	+	0.0619003i
$617$	21447.4	−	5746.81i	1.39942	−	0.374972i	0.521281	−	0.853385i	$-0.325454\pi$
$617$	21447.4	−	5746.81i	1.39942	−	0.374972i	0.878135	+	0.478413i	$0.158788\pi$
$618$	5785.46	−	3215.78i	0.376578	−	0.209317i
$619$	6003.77	−	3466.28i	0.389841	−	0.225075i	−0.292250	−	0.956342i	$-0.594404\pi$
$619$	6003.77	−	3466.28i	0.389841	−	0.225075i	0.682091	+	0.731267i	$0.261071\pi$
$620$	40622.0	−	9514.97i	2.63132	−	0.616339i
$621$	3145.32	+	14546.3i	0.203248	+	0.939976i
$622$	−7206.69	+	7206.69i	−0.464569	+	0.464569i
$623$	7905.13	+	2118.17i	0.508366	+	0.136216i
$624$	−2071.96	+	7257.82i	−0.132924	+	0.465618i
$625$	6037.66	+	14411.4i	0.386410	+	0.922327i
$626$	−23588.8	−	13619.0i	−1.50607	−	0.869529i
$627$	2487.16	−	4150.33i	0.158417	−	0.264351i
$628$	2154.52	−	8040.79i	0.136903	−	0.510928i
$629$	375.519			0.0238043
$630$	−1947.60	−	9731.85i	−0.123165	−	0.615438i
$631$	5174.87			0.326479			0.163239	−	0.986586i	$-0.447806\pi$
$631$	5174.87			0.326479			0.163239	+	0.986586i	$0.447806\pi$
$632$	712.516	−	2659.15i	0.0448455	−	0.167366i
$633$	−7033.52	−	114.540i	−0.441639	−	0.00719205i
$634$	−34660.5	−	20011.2i	−2.17120	−	1.25354i
$635$	15110.0	−	8096.10i	0.944288	−	0.505959i
$636$	−3654.56	−	3775.56i	−0.227850	−	0.235394i
$637$	−21281.7	−	5702.42i	−1.32372	−	0.354691i
$638$	−4686.88	+	4686.88i	−0.290839	+	0.290839i
$639$	−2513.02	−	1562.15i	−0.155577	−	0.0967097i
$640$	18279.6	+	11341.4i	1.12901	+	0.700482i
$641$	1800.01	−	1039.24i	0.110914	−	0.0640365i	−0.443517	−	0.896266i	$-0.646269\pi$
$641$	1800.01	−	1039.24i	0.110914	−	0.0640365i	0.554431	+	0.832230i	$0.312936\pi$
$642$	24239.8	+	14526.2i	1.49014	+	0.892995i
$643$	8982.29	−	2406.80i	0.550898	−	0.147613i	0.0273763	−	0.999625i	$-0.491285\pi$
$643$	8982.29	−	2406.80i	0.550898	−	0.147613i	0.523521	+	0.852013i	$0.324618\pi$
$644$	−4626.92	+	8014.06i	−0.283115	+	0.490370i
$645$	−25905.5	−	1244.39i	−1.58144	−	0.0759658i
$646$	1988.72	+	3444.57i	0.121123	+	0.209791i
$647$	−12361.4	−	12361.4i	−0.751125	−	0.751125i	0.223564	−	0.974689i	$-0.428231\pi$
$647$	−12361.4	−	12361.4i	−0.751125	−	0.751125i	−0.974689	+	0.223564i	$0.928231\pi$
$648$	11704.8	+	3969.11i	0.709578	+	0.240619i
$649$		−	444.002i		−	0.0268546i
$650$	23539.0	−	35383.0i	1.42042	−	2.13513i
$651$	−11663.3	−	3329.64i	−0.702184	−	0.200459i
$652$	1843.22	+	6878.98i	0.110715	+	0.413192i
$653$	−7383.03	−	27553.8i	−0.442450	−	1.65125i	−0.722581	−	0.691286i	$-0.757045\pi$
$653$	−7383.03	−	27553.8i	−0.442450	−	1.65125i	0.280131	−	0.959962i	$-0.409622\pi$
$654$	−5568.92	−	22224.9i	−0.332969	−	1.32884i
$655$	12504.2	+	13323.6i	0.745922	+	0.794803i
$656$		−	6549.37i		−	0.389802i
$657$	5366.48	−	1252.18i	0.318670	−	0.0743565i
$658$	−5478.63	−	5478.63i	−0.324589	−	0.324589i
$659$	5594.17	+	9689.39i	0.330680	+	0.572754i	0.982645	−	0.185494i	$-0.0593887\pi$
$659$	5594.17	+	9689.39i	0.330680	+	0.572754i	−0.651966	+	0.758249i	$0.726055\pi$
$660$	−1270.12	−	5849.90i	−0.0749082	−	0.345010i
$661$	−12520.6	+	21686.4i	−0.736757	+	1.27610i	0.217190	+	0.976129i	$0.430311\pi$
$661$	−12520.6	+	21686.4i	−0.736757	+	1.27610i	−0.953948	+	0.299972i	$0.903023\pi$
$662$	3164.29	−	847.869i	0.185776	−	0.0497785i
$663$	−54.1206	+	3323.36i	−0.00317024	+	0.194673i
$664$	−4254.01	+	2456.06i	−0.248626	+	0.143544i
$665$	−4646.72	+	7489.38i	−0.270966	+	0.436730i
$666$	−5385.99	−	175.467i	−0.313368	−	0.0102090i
$667$	−12802.3	+	12802.3i	−0.743190	+	0.743190i
$668$	−7244.69	−	1941.21i	−0.419619	−	0.112437i
$669$	−9896.58	+	2479.79i	−0.571934	+	0.143310i
$670$	845.968	+	255.689i	0.0487800	+	0.0147435i
$671$	545.845	+	315.144i	0.0314040	+	0.0181311i
$672$	−4107.59	−	7389.90i	−0.235794	−	0.424213i
$673$	−4660.65	+	17393.8i	−0.266946	+	0.996257i	0.694102	+	0.719877i	$0.255802\pi$
$673$	−4660.65	+	17393.8i	−0.266946	+	0.996257i	−0.961048	+	0.276381i	$0.910865\pi$
$674$	20093.3			1.14832
$675$	14109.4	+	10415.0i	0.804549	+	0.593886i
$676$	−42961.7			−2.44434
$677$	−5566.38	+	20774.0i	−0.316002	+	1.17934i	0.607051	+	0.794663i	$0.292352\pi$
$677$	−5566.38	+	20774.0i	−0.316002	+	1.17934i	−0.923053	+	0.384673i	$0.874314\pi$
$678$	−851.386	−	1531.71i	−0.0482261	−	0.0867626i
$679$	1309.54	+	756.062i	0.0740139	+	0.0427319i
$680$	1519.41	+	459.235i	0.0856866	+	0.0258983i
$681$	15906.6	−	3985.74i	0.895072	−	0.224279i
$682$	−11853.7	−	3176.18i	−0.665544	−	0.178332i
$683$	−4348.95	+	4348.95i	−0.243643	+	0.243643i	−0.818355	−	0.574713i	$-0.805114\pi$
$683$	−4348.95	+	4348.95i	−0.243643	+	0.243643i	0.574713	+	0.818355i	$0.305114\pi$
$684$	−16044.9	−	30006.5i	−0.896920	−	1.67738i
$685$	13482.0	−	21729.8i	0.752003	−	1.21205i
$686$	17978.8	−	10380.1i	1.00063	−	0.577715i
$687$	337.564	−	20728.6i	0.0187465	−	1.15116i
$688$	−8200.05	+	2197.20i	−0.454395	+	0.121755i
$689$	−3270.58	+	5664.81i	−0.180841	+	0.313225i
$690$	−5819.64	−	26804.0i	−0.321087	−	1.47885i
$691$	7927.92	+	13731.6i	0.436458	+	0.755967i	0.997413	−	0.0718787i	$-0.0228994\pi$
$691$	7927.92	+	13731.6i	0.436458	+	0.755967i	−0.560955	+	0.827846i	$0.689566\pi$
$692$	−5936.61	−	5936.61i	−0.326121	−	0.326121i
$693$	−504.921	+	1665.45i	−0.0276773	+	0.0912918i
$694$			18107.7i			0.990429i
$695$	−16743.2	−	17840.4i	−0.913822	−	0.973706i
$696$	3654.54	+	14584.9i	0.199030	+	0.794308i
$697$	−746.467	−	2785.85i	−0.0405659	−	0.151394i
$698$	2820.56	+	10526.5i	0.152951	+	0.570820i
$699$	15308.0	+	4370.13i	0.828330	+	0.236471i
$700$	2148.93	+	10690.6i	0.116031	+	0.577236i
$701$		−	21918.5i		−	1.18096i	−0.807054	−	0.590478i	$-0.798939\pi$
$701$		−	21918.5i		−	1.18096i	0.807054	−	0.590478i	$-0.201061\pi$
$702$	2329.14	−	47641.0i	0.125224	−	2.56139i
$703$	3383.93	+	3383.93i	0.181547	+	0.181547i
$704$	−3613.36	−	6258.53i	−0.193443	−	0.335053i
$705$	13674.8	+	656.880i	0.730527	+	0.0350915i
$706$	−24185.9	+	41891.2i	−1.28930	+	2.23314i
$707$	7910.29	−	2119.56i	0.420788	−	0.112750i
$708$	−2678.35	−	1605.05i	−0.142173	−	0.0851999i
$709$	−25661.5	+	14815.7i	−1.35929	+	0.784787i	−0.989528	−	0.144338i	$-0.953895\pi$
$709$	−25661.5	+	14815.7i	−1.35929	+	0.784787i	−0.369763	+	0.929126i	$0.620561\pi$
$710$	4633.94	+	2875.09i	0.244942	+	0.151972i
$711$	142.755	−	4381.89i	0.00752987	−	0.231130i
$712$	13281.6	−	13281.6i	0.699087	−	0.699087i
$713$	−32378.6	−	8675.82i	−1.70068	−	0.455697i
$714$	−994.982	−	1027.92i	−0.0521516	−	0.0538783i
$715$	−6568.44	+	3519.43i	−0.343560	+	0.184083i
$716$	−27516.2	−	15886.5i	−1.43622	−	0.829199i
$717$	20220.8	+	329.295i	1.05322	+	0.0171517i
$718$	7981.37	−	29786.9i	0.414850	−	1.54824i
$719$	5855.14			0.303700			0.151850	−	0.988404i	$-0.451477\pi$
$719$	5855.14			0.303700			0.151850	+	0.988404i	$0.451477\pi$
$720$	5437.84	+	1838.82i	0.281467	+	0.0951789i
$721$	2114.24			0.109207
$722$	−5217.97	+	19473.7i	−0.268965	+	1.00379i
$723$	−17584.1	+	29342.5i	−0.904508	+	1.50935i
$724$	−2019.25	−	1165.81i	−0.103653	−	0.0598440i
$725$	−1352.37	+	21291.6i	−0.0692767	+	1.09069i
$726$	7966.64	−	27906.1i	0.407258	−	1.42658i
$727$	17456.9	+	4677.55i	0.890563	+	0.238626i	0.674959	−	0.737855i	$-0.264161\pi$
$727$	17456.9	+	4677.55i	0.890563	+	0.238626i	0.215604	+	0.976481i	$0.430828\pi$
$728$	6764.65	−	6764.65i	0.344388	−	0.344388i
$729$	19589.1	+	1919.99i	0.995231	+	0.0975455i
$730$	−9888.44	+	2316.19i	−0.501353	+	0.117433i
$731$	−3237.56	+	1869.21i	−0.163811	+	0.0945762i
$732$	3874.25	−	2153.46i	0.195623	−	0.108735i
$733$	35884.0	−	9615.09i	1.80819	−	0.484504i	0.812986	−	0.582284i	$-0.197841\pi$
$733$	35884.0	−	9615.09i	1.80819	−	0.484504i	0.995208	+	0.0977795i	$0.0311740\pi$
$734$	−20929.9	+	36251.7i	−1.05250	+	1.82299i
$735$	−5108.46	+	15958.7i	−0.256365	+	0.800878i
$736$	−11682.9	−	20235.3i	−0.585104	−	1.01343i
$737$	−109.578	−	109.578i	−0.00547676	−	0.00547676i
$738$	9404.70	+	40305.8i	0.469095	+	2.01040i
$739$			16862.4i			0.839371i	0.907670	+	0.419686i	$0.137860\pi$
$739$			16862.4i			0.839371i	−0.907670	+	0.419686i	$0.862140\pi$
$740$	5917.75	+	187.748i	0.293974	+	0.00932669i
$741$	−30435.6	+	29460.2i	−1.50888	+	1.46052i
$742$	−728.677	−	2719.46i	−0.0360520	−	0.134548i
$743$	−2026.03	−	7561.26i	−0.100038	−	0.373345i	0.897697	−	0.440613i	$-0.145239\pi$
$743$	−2026.03	−	7561.26i	−0.100038	−	0.373345i	−0.997735	+	0.0672671i	$0.978572\pi$
$744$	−20002.3	+	19361.2i	−0.985643	+	0.954055i
$745$	5077.81	−	4765.52i	0.249713	−	0.234356i
$746$			25811.4i			1.26678i
$747$	−5708.72	+	5348.49i	−0.279613	+	0.261969i
$748$	−610.143	−	610.143i	−0.0298249	−	0.0298249i
$749$	4513.18	+	7817.06i	0.220171	+	0.381347i
$750$	−26019.9	−	19172.7i	−1.26682	−	0.933449i
$751$	9768.62	−	16919.7i	0.474650	−	0.822117i	−0.524929	−	0.851146i	$-0.675908\pi$
$751$	9768.62	−	16919.7i	0.474650	−	0.822117i	0.999579	+	0.0290288i	$0.00924145\pi$
$752$	4328.57	−	1159.84i	0.209903	−	0.0562433i
$753$	28718.0	−	15962.6i	1.38983	−	0.772523i
$754$	50252.4	−	29013.2i	2.42717	−	1.40133i
$755$	−5145.57	−	21967.8i	−0.248035	−	1.05893i
$756$	8221.19	+	9066.37i	0.395505	+	0.436165i
$757$	10039.5	−	10039.5i	0.482024	−	0.482024i	−0.423754	−	0.905777i	$-0.639288\pi$
$757$	10039.5	−	10039.5i	0.482024	−	0.482024i	0.905777	+	0.423754i	$0.139288\pi$
$758$	−28448.5	−	7622.74i	−1.36319	−	0.365265i
$759$	−1320.28	+	4624.79i	−0.0631400	+	0.221172i
$760$	9553.65	+	17830.3i	0.455983	+	0.851017i
$761$	−20084.8	−	11595.9i	−0.956731	−	0.552369i	−0.0615654	−	0.998103i	$-0.519609\pi$
$761$	−20084.8	−	11595.9i	−0.956731	−	0.552369i	−0.895165	+	0.445734i	$0.852943\pi$
$762$	−18227.3	+	30415.9i	−0.866545	+	1.44600i
$763$	1894.15	−	7069.05i	0.0898725	−	0.335409i
$764$	−4173.81			−0.197648
$765$	2522.63	+	162.385i	0.119223	+	0.00767456i
$766$	55350.5			2.61083
$767$	−1006.02	+	3754.54i	−0.0473604	+	0.176752i
$768$	−10068.2	−	163.960i	−0.473054	−	0.00770364i
$769$	−30950.8	−	17869.4i	−1.45138	−	0.837956i	−0.452822	−	0.891601i	$-0.649583\pi$
$769$	−30950.8	−	17869.4i	−1.45138	−	0.837956i	−0.998560	+	0.0536450i	$0.982916\pi$
$770$	927.956	−	3070.21i	0.0434301	−	0.143692i
$771$	5100.12	+	5268.98i	0.238231	+	0.246119i
$772$	−16386.4	−	4390.71i	−0.763935	−	0.204696i
$773$	7858.61	−	7858.61i	0.365659	−	0.365659i	−0.500232	−	0.865891i	$-0.666752\pi$
$773$	7858.61	−	7858.61i	0.365659	−	0.365659i	0.865891	+	0.500232i	$0.166752\pi$
$774$	47309.2	−	25296.9i	2.19702	−	1.17478i
$775$	−35390.8	+	17541.7i	−1.64036	+	0.813055i
$776$	3005.51	−	1735.23i	0.139036	−	0.0802723i
$777$	−1476.46	−	884.796i	−0.0681694	−	0.0408518i
$778$	−42951.4	+	11508.8i	−1.97928	+	0.530347i
$779$	18377.6	−	31831.0i	0.845246	−	1.46401i
$780$	−2514.46	+	52345.3i	−0.115426	+	2.40290i
$781$	−478.124	−	828.135i	−0.0219060	−	0.0379424i
$782$	−2795.65	−	2795.65i	−0.127842	−	0.127842i
$783$	10945.7	+	21297.0i	0.499575	+	0.972023i
$784$			5484.80i			0.249854i
$785$	−249.913	+	7877.17i	−0.0113628	+	0.358151i
$786$	−36344.5	−	10375.6i	−1.64932	−	0.470847i
$787$	−696.542	−	2599.53i	−0.0315490	−	0.117742i	0.948356	−	0.317209i	$-0.102746\pi$
$787$	−696.542	−	2599.53i	−0.0315490	−	0.117742i	−0.979905	+	0.199467i	$0.936079\pi$
$788$	11443.3	+	42707.0i	0.517324	+	1.93068i
$789$	−414.896	−	1655.80i	−0.0187208	−	0.0747124i
$790$	−256.222	+	8076.03i	−0.0115392	+	0.363712i
$791$		−	559.750i		−	0.0251611i
$792$	2730.85	+	2914.77i	0.122521	+	0.130773i
$793$	−3901.68	−	3901.68i	−0.174719	−	0.174719i
$794$	−3929.85	−	6806.70i	−0.175649	−	0.304233i
$795$	4183.96	+	2691.23i	0.186654	+	0.120060i
$796$	22352.8	−	38716.2i	0.995320	−	1.72395i
$797$	28705.2	−	7691.54i	1.27577	−	0.341842i	0.443533	−	0.896258i	$-0.353725\pi$
$797$	28705.2	−	7691.54i	1.27577	−	0.341842i	0.832240	+	0.554416i	$0.187058\pi$
$798$	296.860	−	18229.1i	0.0131688	−	0.808651i
$799$	1709.02	−	986.702i	0.0756705	−	0.0436884i
$800$	−26090.0	−	8797.66i	−1.15303	−	0.388805i
$801$	15792.0	−	25404.6i	0.696610	−	1.12063i
$802$	29070.9	−	29070.9i	1.27996	−	1.27996i
$803$	1720.18	+	460.920i	0.0755962	+	0.0202559i
$804$	−1057.13	+	264.886i	−0.0463707	+	0.0116192i
$805$	2534.73	−	8386.36i	0.110978	−	0.367180i
$806$	93039.5	+	53716.4i	4.06598	+	2.34749i
$807$	−1929.26	−	3470.89i	−0.0841550	−	0.151402i
$808$	4864.59	−	18154.9i	0.211802	−	0.790454i
$809$	−13804.2			−0.599913			−0.299957	−	0.953953i	$-0.596972\pi$
$809$	−13804.2			−0.599913			−0.299957	+	0.953953i	$0.596972\pi$
$810$	−36105.7	−	3507.80i	−1.56621	−	0.152162i
$811$	42231.9			1.82856			0.914280	−	0.405082i	$-0.132757\pi$
$811$	42231.9			1.82856			0.914280	+	0.405082i	$0.132757\pi$
$812$	−3853.54	+	14381.6i	−0.166543	+	0.621547i
$813$	−11726.3	−	21096.6i	−0.505855	−	0.910075i
$814$	−1508.19	−	870.752i	−0.0649410	−	0.0374937i
$815$	−3184.34	−	5943.04i	−0.136862	−	0.255430i
$816$	802.619	−	201.113i	0.0344330	−	0.00862790i
$817$	−46018.9	−	12330.7i	−1.97062	−	0.528027i
$818$	10238.9	−	10238.9i	0.437644	−	0.437644i
$819$	8043.27	−	12939.2i	0.343168	−	0.552054i
$820$	−10370.6	−	44275.1i	−0.441657	−	1.88555i
$821$	13907.5	−	8029.52i	0.591201	−	0.341330i	−0.174371	−	0.984680i	$-0.555789\pi$
$821$	13907.5	−	8029.52i	0.591201	−	0.341330i	0.765572	+	0.643350i	$0.222456\pi$
$822$	−861.312	+	52890.1i	−0.0365471	+	2.24423i
$823$	21789.5	−	5838.49i	0.922886	−	0.247287i	0.234068	−	0.972220i	$-0.424796\pi$
$823$	21789.5	−	5838.49i	0.922886	−	0.247287i	0.688819	+	0.724934i	$0.258130\pi$
$824$	2426.19	−	4202.29i	0.102573	−	0.177662i
$825$	2433.87	+	5118.18i	0.102711	+	0.215990i
$826$	−836.501	−	1448.86i	−0.0352368	−	0.0610319i
$827$	−13252.9	−	13252.9i	−0.557253	−	0.557253i	0.371271	−	0.928524i	$-0.378922\pi$
$827$	−13252.9	−	13252.9i	−0.557253	−	0.557253i	−0.928524	+	0.371271i	$0.878922\pi$
$828$	23125.3	+	24682.8i	0.970602	+	1.03597i
$829$			5055.46i			0.211801i	0.994377	+	0.105901i	$0.0337726\pi$
$829$			5055.46i			0.211801i	−0.994377	+	0.105901i	$0.966227\pi$
$830$	10512.8	−	9866.22i	0.439643	−	0.412604i
$831$	−7562.35	−	30180.5i	−0.315686	−	1.25987i
$832$	16374.4	+	61110.1i	0.682308	+	2.54641i
$833$	625.133	+	2333.03i	0.0260019	+	0.0970403i
$834$	48665.6	+	13893.0i	2.02056	+	0.576830i
$835$	7097.26	+	225.169i	0.294145	+	0.00933210i
$836$		−	10996.4i		−	0.454927i
$837$	−24015.0	+	37265.5i	−0.991730	+	1.53893i
$838$	11581.7	+	11581.7i	0.477427	+	0.477427i
$839$	−21738.9	−	37653.0i	−0.894531	−	1.54937i	−0.834384	−	0.551184i	$-0.814176\pi$
$839$	−21738.9	−	37653.0i	−0.894531	−	1.54937i	−0.0601475	−	0.998190i	$-0.519157\pi$
$840$	−4891.96	−	5385.65i	−0.200939	−	0.221217i
$841$	−2370.66	+	4106.11i	−0.0972021	+	0.168359i
$842$	−29494.1	+	7902.91i	−1.20716	+	0.323459i
$843$	−21621.5	−	12957.1i	−0.883374	−	0.529379i
$844$	−13845.2	+	7993.55i	−0.564660	+	0.326006i
$845$	39602.0	−	9276.04i	1.61225	−	0.377640i
$846$	−24973.2	+	13353.5i	−1.01489	+	0.542676i
$847$	6554.69	−	6554.69i	0.265905	−	0.265905i
$848$	1572.88	+	421.453i	0.0636946	+	0.0170669i
$849$	1292.77	+	1335.57i	0.0522588	+	0.0539890i
$850$	−4649.46	−	295.317i	−0.187618	−	0.0119168i
$851$	−4119.65	−	2378.48i	−0.165946	−	0.0958087i
$852$	−6723.94	−	109.499i	−0.270374	−	0.00440302i
$853$	−3688.14	+	13764.3i	−0.148042	+	0.552499i	0.851560	+	0.524258i	$0.175657\pi$
$853$	−3688.14	+	13764.3i	−0.148042	+	0.552499i	−0.999601	+	0.0282408i	$0.991009\pi$
$854$	2374.93			0.0951619
$855$	21269.0	+	24195.6i	0.850742	+	0.967804i
$856$	20716.4			0.827186
$857$	−9130.63	+	34076.0i	−0.363940	+	1.35824i	0.504913	+	0.863170i	$0.331525\pi$
$857$	−9130.63	+	34076.0i	−0.363940	+	1.35824i	−0.868853	+	0.495071i	$0.835142\pi$
$858$	7923.56	−	13222.0i	0.315275	−	0.526099i
$859$	4594.34	+	2652.54i	0.182488	+	0.105359i	0.588461	−	0.808526i	$-0.299734\pi$
$859$	4594.34	+	2652.54i	0.182488	+	0.105359i	−0.405973	+	0.913885i	$0.633067\pi$
$860$	−51954.9	+	27838.0i	−2.06006	+	1.10380i
$861$	−3629.07	+	12712.2i	−0.143645	+	0.503171i
$862$	13397.2	+	3589.76i	0.529362	+	0.141842i
$863$	20991.2	−	20991.2i	0.827984	−	0.827984i	−0.159254	−	0.987238i	$-0.550909\pi$
$863$	20991.2	−	20991.2i	0.827984	−	0.827984i	0.987238	+	0.159254i	$0.0509088\pi$
$864$	−30204.6	+	6531.05i	−1.18933	+	0.257165i
$865$	6754.14	+	4190.55i	0.265489	+	0.164720i
$866$	2870.01	−	1657.00i	0.112618	−	0.0650199i
$867$	−21994.9	+	12225.6i	−0.861577	+	0.478898i
$868$	−26626.8	+	7134.62i	−1.04121	+	0.278992i
$869$	708.419	−	1227.02i	0.0276542	−	0.0478984i
$870$	−20206.3	−	39233.2i	−0.787423	−	1.52889i
$871$	678.324	+	1174.89i	0.0263882	+	0.0457057i
$872$	−11876.9	−	11876.9i	−0.461242	−	0.461242i
$873$	4033.28	−	3778.78i	0.156364	−	0.146497i
$874$		−	50385.1i		−	1.95000i
$875$	−4289.11	−	9390.53i	−0.165713	−	0.362809i
$876$	8998.78	−	8710.39i	0.347078	−	0.335955i
$877$	2010.16	+	7502.01i	0.0773981	+	0.288854i	0.993766	−	0.111483i	$-0.0355600\pi$
$877$	2010.16	+	7502.01i	0.0773981	+	0.288854i	−0.916368	+	0.400336i	$0.868893\pi$
$878$	−4274.29	−	15951.9i	−0.164294	−	0.613154i
$879$	−31824.6	+	30804.7i	−1.22118	+	1.18204i
$880$	1269.49	+	1352.68i	0.0486302	+	0.0518170i
$881$			47965.9i			1.83429i	0.398550	+	0.917146i	$0.369513\pi$
$881$			47965.9i			1.83429i	−0.398550	+	0.917146i	$0.630487\pi$
$882$	−7876.01	−	33754.3i	−0.300679	−	1.28862i
$883$	−26596.6	−	26596.6i	−1.01364	−	1.01364i	−0.999906	−	0.0137372i	$-0.995627\pi$
$883$	−26596.6	−	26596.6i	−1.01364	−	1.01364i	−0.0137372	−	0.999906i	$-0.504373\pi$
$884$	3776.97	+	6541.91i	0.143703	+	0.248901i
$885$	2815.44	+	901.238i	0.106938	+	0.0342314i
$886$	−4374.53	+	7576.91i	−0.165875	+	0.287304i
$887$	−29801.9	+	7985.39i	−1.12813	+	0.302281i	−0.774168	−	0.632980i	$-0.781832\pi$
$887$	−29801.9	+	7985.39i	−1.12813	+	0.302281i	−0.353960	+	0.935261i	$0.615165\pi$
$888$	−3452.94	+	1919.28i	−0.130488	+	0.0725301i
$889$	−9808.79	+	5663.11i	−0.370052	+	0.213650i
$890$	−29064.8	+	46845.4i	−1.09467	+	1.76434i
$891$	5290.03	+	3532.27i	0.198903	+	0.132812i
$892$	−16395.8	+	16395.8i	−0.615439	+	0.615439i
$893$	24292.1	+	6509.04i	0.910306	+	0.243916i
$894$	−3954.29	+	13851.4i	−0.147932	+	0.518187i
$895$	28794.5	+	8702.99i	1.07541	+	0.325038i
$896$	−12309.2	−	7106.69i	−0.458951	−	0.264975i
$897$	21643.4	−	36116.3i	0.805631	−	1.34436i
$898$	−7552.68	+	28187.0i	−0.280664	+	1.04745i
$899$	−53933.2			−2.00086
$900$	39672.6	+	3820.24i	1.46936	+	0.141490i
$901$	717.080			0.0265143
$902$	−3461.82	+	12919.7i	−0.127789	+	0.476916i
$903$	17133.6	+	279.020i	0.631419	+	0.0102826i
$904$	−1112.57	−	642.340i	−0.0409330	−	0.0236327i
$905$	2113.05	+	638.658i	0.0776134	+	0.0234582i
$906$	32459.6	+	33534.3i	1.19028	+	1.22969i
$907$	17825.7	+	4776.39i	0.652584	+	0.174859i	0.569897	−	0.821716i	$-0.306983\pi$
$907$	17825.7	+	4776.39i	0.652584	+	0.174859i	0.0826873	+	0.996576i	$0.473650\pi$
$908$	26352.8	−	26352.8i	0.963158	−	0.963158i
$909$	974.637	−	29916.6i	0.0355629	−	1.09161i
$910$	−14803.4	+	23859.5i	−0.539263	+	0.869160i
$911$	−30948.1	+	17867.9i	−1.12553	+	0.649824i	−0.942807	−	0.333340i	$-0.891824\pi$
$911$	−30948.1	+	17867.9i	−1.12553	+	0.649824i	−0.182722	+	0.983165i	$0.558491\pi$
$912$	9044.98	+	5420.38i	0.328409	+	0.196806i
$913$	−2441.93	+	654.313i	−0.0885171	+	0.0237181i
$914$	28466.0	−	49304.5i	1.03017	−	1.78430i
$915$	−3106.30	+	2821.55i	−0.112231	+	0.101943i
$916$	−23558.0	−	40803.6i	−0.849757	−	1.47182i
$917$	−8536.71	−	8536.71i	−0.307423	−	0.307423i
$918$	−4650.64	+	2390.22i	−0.167205	+	0.0859356i
$919$			4406.96i			0.158185i	0.996867	+	0.0790926i	$0.0252023\pi$
$919$			4406.96i			0.158185i	−0.996867	+	0.0790926i	$0.974798\pi$
$920$	−13760.1	−	14661.8i	−0.493105	−	0.525419i
$921$	44086.0	+	12585.7i	1.57729	+	0.450284i
$922$	2655.00	+	9908.59i	0.0948349	+	0.353929i
$923$	2166.68	+	8086.15i	0.0772666	+	0.288363i
$924$	961.332	+	3836.57i	0.0342267	+	0.136595i
$925$	−5495.50	+	1104.66i	−0.195342	+	0.0392660i
$926$			5508.11i			0.195473i
$927$	2242.05	−	7395.27i	0.0794377	−	0.262020i
$928$	−26583.2	−	26583.2i	−0.940340	−	0.940340i
$929$	−14845.9	−	25713.9i	−0.524305	−	0.908123i	−0.999600	−	0.0282963i	$-0.990992\pi$
$929$	−14845.9	−	25713.9i	−0.524305	−	0.908123i	0.475294	−	0.879827i	$-0.342342\pi$
$930$	44201.0	−	68717.8i	1.55850	−	2.42295i
$931$	−15390.4	+	26657.0i	−0.541784	+	0.938397i
$932$	34947.4	−	9364.14i	1.22826	−	0.329112i
$933$	−193.743	+	11897.1i	−0.00679836	+	0.417464i
$934$	20547.9	−	11863.3i	0.719858	−	0.415610i
$935$	694.166	+	430.689i	0.0242798	+	0.0150642i
$936$	−16488.0	−	30835.2i	−0.575779	−	1.07680i
$937$	10550.5	−	10550.5i	0.367844	−	0.367844i	−0.498846	−	0.866691i	$-0.666243\pi$
$937$	10550.5	−	10550.5i	0.367844	−	0.367844i	0.866691	+	0.498846i	$0.166243\pi$
$938$	−564.021	−	151.129i	−0.0196332	−	0.00526070i
$939$	−30846.1	+	7729.15i	−1.07202	+	0.268617i
$940$	27425.5	−	14694.9i	0.951619	−	0.509887i
$941$	−36526.6	−	21088.6i	−1.26539	−	0.730573i	−0.291277	−	0.956639i	$-0.594080\pi$
$941$	−36526.6	−	21088.6i	−1.26539	−	0.730573i	−0.974112	+	0.226066i	$0.927414\pi$
$942$	−7920.19	−	14249.1i	−0.273942	−	0.492845i
$943$	−9456.03	+	35290.4i	−0.326544	+	1.21868i
$944$	967.633			0.0333620
$945$	−9535.82	−	6582.28i	−0.328254	−	0.226584i
$946$	17337.3			0.595860
$947$	8104.37	−	30245.9i	0.278096	−	1.03787i	−0.675642	−	0.737230i	$-0.736134\pi$
$947$	8104.37	−	30245.9i	0.278096	−	1.03787i	0.953738	−	0.300638i	$-0.0971997\pi$
$948$	−4840.81	−	8709.00i	−0.165846	−	0.298371i
$949$	−13501.7	−	7795.20i	−0.461837	−	0.266641i
$950$	−39236.7	−	44559.1i	−1.34001	−	1.52178i
$951$	−45324.1	+	11356.9i	−1.54546	+	0.387248i
$952$	−1013.02	−	271.437i	−0.0344875	−	0.00924090i
$953$	−11585.6	+	11585.6i	−0.393803	+	0.393803i	−0.876040	−	0.482238i	$-0.839824\pi$
$953$	−11585.6	+	11585.6i	−0.393803	+	0.393803i	0.482238	+	0.876040i	$0.339824\pi$
$954$	−10285.0	−	335.068i	−0.349044	−	0.0113713i
$955$	3847.40	−	901.184i	0.130365	−	0.0305357i
$956$	39804.0	−	22980.9i	1.34661	−	0.777463i
$957$	−126.001	+	7737.30i	−0.00425605	+	0.261349i
$958$	−10365.4	+	2777.40i	−0.349572	+	0.0936676i
$959$	−8448.05	+	14632.5i	−0.284465	+	0.492708i
$960$	47020.1	−	10208.9i	1.58080	−	0.343221i
$961$	−35031.6	−	60676.6i	−1.17591	−	2.03674i
$962$	10780.5	+	10780.5i	0.361305	+	0.361305i
$963$	32128.8	−	7496.74i	1.07512	−	0.250861i
$964$			77744.0i			2.59747i
$965$	16052.9	+	509.298i	0.535504	+	0.0169895i
$966$	4404.78	+	17579.0i	0.146710	+	0.585501i
$967$	11748.2	+	43844.9i	0.390689	+	1.45807i	0.829000	+	0.559249i	$0.188910\pi$
$967$	11748.2	+	43844.9i	0.390689	+	1.45807i	−0.438310	+	0.898824i	$0.644423\pi$
$968$	−5506.35	−	20550.0i	−0.182832	−	0.682337i
$969$	4465.18	+	1274.72i	0.148031	+	0.0422599i
$970$	−7427.40	+	6970.61i	−0.245855	+	0.230735i
$971$			3396.55i			0.112256i	0.998424	+	0.0561280i	$0.0178755\pi$
$971$			3396.55i			0.112256i	−0.998424	+	0.0561280i	$0.982125\pi$
$972$	40430.9	−	19141.9i	1.33418	−	0.631664i
$973$	11430.7	+	11430.7i	0.376621	+	0.376621i
$974$	41788.0	+	72379.0i	1.37472	+	2.38108i
$975$	−8984.27	−	48794.6i	−0.295104	−	1.60275i
$976$	−686.806	+	1189.58i	−0.0225247	+	0.0390140i
$977$	−15826.8	+	4240.78i	−0.518264	+	0.138868i	−0.508463	−	0.861084i	$-0.669786\pi$
$977$	−15826.8	+	4240.78i	−0.518264	+	0.138868i	−0.00980049	+	0.999952i	$0.503120\pi$
$978$	11963.1	+	7169.14i	0.391144	+	0.234401i
$979$	8371.78	−	4833.45i	0.273303	−	0.157791i
$980$	8684.95	+	37078.4i	0.283092	+	1.20860i
$981$	−22717.7	−	14121.8i	−0.739370	−	0.459608i
$982$	−17742.4	+	17742.4i	−0.576562	+	0.576562i
$983$	34572.6	+	9263.69i	1.12176	+	0.300576i	0.771597	−	0.636112i	$-0.219458\pi$
$983$	34572.6	+	9263.69i	1.12176	+	0.300576i	0.350166	+	0.936687i	$0.386125\pi$
$984$	21102.4	+	21801.0i	0.683657	+	0.706293i
$985$	−19769.4	−	36896.4i	−0.639500	−	1.19352i
$986$	−5508.96	−	3180.60i	−0.177932	−	0.102729i
$987$	−9044.35	−	147.287i	−0.291677	−	0.00474993i
$988$	−24915.8	+	92987.1i	−0.802305	+	2.99424i
$989$	47357.2			1.52262
$990$	−9755.05	−	6501.66i	−0.313167	−	0.208723i
$991$	−19832.4			−0.635719			−0.317859	−	0.948138i	$-0.602964\pi$
$991$	−19832.4			−0.635719			−0.317859	+	0.948138i	$0.602964\pi$
$992$	18014.8	−	67232.1i	0.576582	−	2.15183i
$993$	1965.95	−	3280.58i	0.0628274	−	0.104840i
$994$	−3120.42	−	1801.57i	−0.0995710	−	0.0574874i
$995$	−12245.4	+	40514.8i	−0.390156	+	1.29086i
$996$	−4880.49	+	17095.7i	−0.155265	+	0.543875i
$997$	37168.2	+	9959.18i	1.18067	+	0.316359i	0.795192	−	0.606358i	$-0.207370\pi$
$997$	37168.2	+	9959.18i	1.18067	+	0.316359i	0.385478	+	0.922717i	$0.374037\pi$
$998$	20053.4	−	20053.4i	0.636052	−	0.636052i
$999$	−4660.59	+	4226.12i	−0.147602	+	0.133842i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	45.4.l.a.23.15	yes	64
3.2	odd	2		135.4.m.a.98.2		64
5.2	odd	4	inner	45.4.l.a.32.15	yes	64
5.3	odd	4		225.4.p.b.32.2		64
5.4	even	2		225.4.p.b.68.2		64
9.2	odd	6	inner	45.4.l.a.38.15	yes	64
9.7	even	3		135.4.m.a.8.2		64
15.2	even	4		135.4.m.a.17.2		64
45.2	even	12	inner	45.4.l.a.2.15	✓	64
45.7	odd	12		135.4.m.a.62.2		64
45.29	odd	6		225.4.p.b.218.2		64
45.38	even	12		225.4.p.b.182.2		64

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
45.4.l.a.2.15	✓	64	45.2	even	12	inner
45.4.l.a.23.15	yes	64	1.1	even	1	trivial
45.4.l.a.32.15	yes	64	5.2	odd	4	inner
45.4.l.a.38.15	yes	64	9.2	odd	6	inner
135.4.m.a.8.2		64	9.7	even	3
135.4.m.a.17.2		64	15.2	even	4
135.4.m.a.62.2		64	45.7	odd	12
135.4.m.a.98.2		64	3.2	odd	2
225.4.p.b.32.2		64	5.3	odd	4
225.4.p.b.68.2		64	5.4	even	2
225.4.p.b.182.2		64	45.38	even	12
225.4.p.b.218.2		64	45.29	odd	6

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 45 = 3^{2} \cdot 5 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	45.l (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(1.15194 - 4.29910i) q^{2} +(-2.52446 - 4.54171i) q^{3} +(-10.2271 - 5.90461i) q^{4} +(10.7022 + 3.23468i) q^{5} +(-22.4333 + 5.62113i) q^{6} +(-7.13532 - 1.91190i) q^{7} +(-11.9883 + 11.9883i) q^{8} +(-14.2542 + 22.9307i) q^{9} +O(q^{10})\)	\(q+(1.15194 - 4.29910i) q^{2} +(-2.52446 - 4.54171i) q^{3} +(-10.2271 - 5.90461i) q^{4} +(10.7022 + 3.23468i) q^{5} +(-22.4333 + 5.62113i) q^{6} +(-7.13532 - 1.91190i) q^{7} +(-11.9883 + 11.9883i) q^{8} +(-14.2542 + 22.9307i) q^{9} +(26.2345 - 42.2836i) q^{10} +(-7.55654 + 4.36277i) q^{11} +(-0.999152 + 61.3544i) q^{12} +(73.7842 - 19.7704i) q^{13} +(-16.4389 + 28.4731i) q^{14} +(-12.3263 - 56.7720i) q^{15} +(-9.50797 - 16.4683i) q^{16} +(-5.92131 - 5.92131i) q^{17} +(82.1614 + 87.6951i) q^{18} -106.718i q^{19} +(-90.3527 - 96.2737i) q^{20} +(9.32953 + 37.2331i) q^{21} +(10.0513 + 37.5120i) q^{22} +(27.4553 + 102.465i) q^{23} +(84.7110 + 24.1833i) q^{24} +(104.074 + 69.2363i) q^{25} -339.980i q^{26} +(140.129 + 6.85080i) q^{27} +(61.6846 + 61.6846i) q^{28} +(85.3380 + 147.810i) q^{29} +(-258.268 - 12.4061i) q^{30} +(-157.999 + 273.662i) q^{31} +(-212.761 + 57.0093i) q^{32} +(38.8906 + 23.3059i) q^{33} +(-32.2773 + 18.6353i) q^{34} +(-70.1792 - 43.5421i) q^{35} +(281.176 - 150.349i) q^{36} +(-31.7091 + 31.7091i) q^{37} +(-458.791 - 122.933i) q^{38} +(-276.057 - 285.197i) q^{39} +(-167.079 + 89.5224i) q^{40} +(298.272 + 172.207i) q^{41} +(170.816 + 2.78172i) q^{42} +(115.545 - 431.220i) q^{43} +103.042 q^{44} +(-226.725 + 199.301i) q^{45} +472.133 q^{46} +(-60.9929 + 227.629i) q^{47} +(-50.7917 + 84.7559i) q^{48} +(-249.789 - 144.216i) q^{49} +(417.541 - 367.667i) q^{50} +(-11.9448 + 41.8410i) q^{51} +(-871.335 - 233.473i) q^{52} +(-60.5508 + 60.5508i) q^{53} +(190.872 - 594.536i) q^{54} +(-94.9837 + 22.2482i) q^{55} +(108.460 - 62.6197i) q^{56} +(-484.682 + 269.405i) q^{57} +(733.754 - 196.609i) q^{58} +(-25.4427 + 44.0680i) q^{59} +(-209.155 + 653.395i) q^{60} +(-36.1174 - 62.5572i) q^{61} +(994.494 + 994.494i) q^{62} +(145.550 - 136.365i) q^{63} +828.227i q^{64} +(853.604 + 27.0816i) q^{65} +(144.994 - 140.347i) q^{66} +(4.59668 + 17.1550i) q^{67} +(25.5947 + 95.5208i) q^{68} +(396.055 - 383.362i) q^{69} +(-268.034 + 251.549i) q^{70} +109.592i q^{71} +(-104.016 - 445.782i) q^{72} +(-144.319 - 144.319i) q^{73} +(99.7935 + 172.847i) q^{74} +(51.7214 - 647.456i) q^{75} +(-630.128 + 1091.41i) q^{76} +(62.2595 - 16.6824i) q^{77} +(-1544.09 + 858.266i) q^{78} +(-140.624 + 81.1891i) q^{79} +(-48.4864 - 207.002i) q^{80} +(-322.635 - 653.718i) q^{81} +(1083.93 - 1083.93i) q^{82} +(279.860 + 74.9883i) q^{83} +(124.433 - 435.873i) q^{84} +(-44.2174 - 82.5245i) q^{85} +(-1720.76 - 993.479i) q^{86} +(455.877 - 760.720i) q^{87} +(38.2877 - 142.892i) q^{88} -1107.89 q^{89} +(595.641 + 1204.30i) q^{90} -564.273 q^{91} +(324.227 - 1210.03i) q^{92} +(1641.75 + 26.7358i) q^{93} +(908.339 + 524.430i) q^{94} +(345.199 - 1142.12i) q^{95} +(796.027 + 822.383i) q^{96} +(-197.725 - 52.9802i) q^{97} +(-907.741 + 907.741i) q^{98} +(7.67108 - 235.465i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 64 q - 6 q^{2} - 6 q^{5} - 24 q^{6} - 2 q^{7}+O(q^{10}) \) 64 * q - 6 * q^2 - 6 * q^5 - 24 * q^6 - 2 * q^7	\( 64 q - 6 q^{2} - 6 q^{5} - 24 q^{6} - 2 q^{7} - 8 q^{10} - 36 q^{11} - 138 q^{12} - 2 q^{13} - 96 q^{15} + 316 q^{16} - 480 q^{18} + 378 q^{20} + 480 q^{21} - 34 q^{22} + 306 q^{23} - 146 q^{25} + 180 q^{27} - 232 q^{28} - 1170 q^{30} - 4 q^{31} - 1770 q^{32} - 294 q^{33} - 216 q^{36} + 136 q^{37} + 114 q^{38} + 126 q^{40} + 1992 q^{41} + 1698 q^{42} - 2 q^{43} + 1134 q^{45} - 952 q^{46} + 3462 q^{47} + 4326 q^{48} + 666 q^{50} - 2496 q^{51} - 242 q^{52} + 284 q^{55} - 7128 q^{56} - 2544 q^{57} + 534 q^{58} + 1818 q^{60} + 32 q^{61} - 4038 q^{63} - 2094 q^{65} + 2892 q^{66} + 610 q^{67} - 2694 q^{68} + 498 q^{70} - 1854 q^{72} - 8 q^{73} - 6408 q^{75} + 1368 q^{76} - 6486 q^{77} + 1434 q^{78} + 3012 q^{81} - 3784 q^{82} + 2814 q^{83} - 1658 q^{85} + 12480 q^{86} + 4830 q^{87} - 1338 q^{88} + 13914 q^{90} + 992 q^{91} + 13152 q^{92} + 8310 q^{93} + 4284 q^{95} - 7932 q^{96} + 358 q^{97}+O(q^{100}) \) 64 * q - 6 * q^2 - 6 * q^5 - 24 * q^6 - 2 * q^7 - 8 * q^10 - 36 * q^11 - 138 * q^12 - 2 * q^13 - 96 * q^15 + 316 * q^16 - 480 * q^18 + 378 * q^20 + 480 * q^21 - 34 * q^22 + 306 * q^23 - 146 * q^25 + 180 * q^27 - 232 * q^28 - 1170 * q^30 - 4 * q^31 - 1770 * q^32 - 294 * q^33 - 216 * q^36 + 136 * q^37 + 114 * q^38 + 126 * q^40 + 1992 * q^41 + 1698 * q^42 - 2 * q^43 + 1134 * q^45 - 952 * q^46 + 3462 * q^47 + 4326 * q^48 + 666 * q^50 - 2496 * q^51 - 242 * q^52 + 284 * q^55 - 7128 * q^56 - 2544 * q^57 + 534 * q^58 + 1818 * q^60 + 32 * q^61 - 4038 * q^63 - 2094 * q^65 + 2892 * q^66 + 610 * q^67 - 2694 * q^68 + 498 * q^70 - 1854 * q^72 - 8 * q^73 - 6408 * q^75 + 1368 * q^76 - 6486 * q^77 + 1434 * q^78 + 3012 * q^81 - 3784 * q^82 + 2814 * q^83 - 1658 * q^85 + 12480 * q^86 + 4830 * q^87 - 1338 * q^88 + 13914 * q^90 + 992 * q^91 + 13152 * q^92 + 8310 * q^93 + 4284 * q^95 - 7932 * q^96 + 358 * q^97

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