LMFDB - Embedded newform 98.4.g.b.11.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [98,4,Mod(9,98)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(98, base_ring=CyclotomicField(42))

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

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

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

chi := DirichletCharacter("98.9");

S:= CuspForms(chi, 4);

N := Newforms(S);

Level:	$ N $	$=$	$ 98 = 2 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 4 $
Character orbit:	$[\chi]$	$=$	98.g (of order $21$, degree $12$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$5.78218718056$
Analytic rank:	$0$
Dimension:	$84$
Relative dimension:	$7$ over $\Q(\zeta_{21})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label			11.7
Character	$\chi$	$=$	98.11
Dual form			98.4.g.b.9.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.46610 + 1.36035i) q^{2} +(9.21030 - 1.38823i) q^{3} +(0.298920 - 3.98882i) q^{4} +(2.03964 - 5.19691i) q^{5} +(-11.6148 + 14.5645i) q^{6} +(8.54554 - 16.4309i) q^{7} +(4.98792 + 6.25465i) q^{8} +(57.1019 - 17.6136i) q^{9} +O(q^{10})$	\(q+(-1.46610 + 1.36035i) q^{2} +(9.21030 - 1.38823i) q^{3} +(0.298920 - 3.98882i) q^{4} +(2.03964 - 5.19691i) q^{5} +(-11.6148 + 14.5645i) q^{6} +(8.54554 - 16.4309i) q^{7} +(4.98792 + 6.25465i) q^{8} +(57.1019 - 17.6136i) q^{9} +(4.07928 + 10.3938i) q^{10} +(-62.5656 - 19.2989i) q^{11} +(-2.78424 - 37.1531i) q^{12} +(2.99168 + 13.1074i) q^{13} +(9.82302 + 35.7143i) q^{14} +(11.5712 - 50.6966i) q^{15} +(-15.8213 - 2.38468i) q^{16} +(-10.0567 + 6.85656i) q^{17} +(-59.7568 + 103.502i) q^{18} +(39.4102 + 68.2605i) q^{19} +(-20.1198 - 9.68920i) q^{20} +(55.8971 - 163.196i) q^{21} +(117.981 - 56.8166i) q^{22} +(136.562 + 93.1066i) q^{23} +(54.6231 + 50.6828i) q^{24} +(68.7837 + 63.8220i) q^{25} +(-22.2167 - 15.1471i) q^{26} +(274.892 - 132.381i) q^{27} +(-62.9853 - 38.9981i) q^{28} +(-23.3751 - 11.2569i) q^{29} +(52.0004 + 90.0673i) q^{30} +(-83.7673 + 145.089i) q^{31} +(26.4396 - 18.0262i) q^{32} +(-603.039 - 90.8935i) q^{33} +(5.41692 - 23.7331i) q^{34} +(-67.9600 - 77.9235i) q^{35} +(-53.1885 - 233.034i) q^{36} +(19.3654 + 258.413i) q^{37} +(-150.637 - 46.4655i) q^{38} +(45.7503 + 116.570i) q^{39} +(42.6784 - 13.1646i) q^{40} +(-176.527 - 221.358i) q^{41} +(140.053 + 315.302i) q^{42} +(149.496 - 187.462i) q^{43} +(-95.6820 + 243.794i) q^{44} +(24.9309 - 332.679i) q^{45} +(-326.872 + 49.2680i) q^{46} +(-399.884 + 371.038i) q^{47} -149.029 q^{48} +(-196.948 - 280.821i) q^{49} -187.664 q^{50} +(-83.1070 + 77.1120i) q^{51} +(53.1773 - 8.01519i) q^{52} +(-6.51322 + 86.9129i) q^{53} +(-222.936 + 568.033i) q^{54} +(-227.906 + 285.785i) q^{55} +(145.394 - 28.5065i) q^{56} +(457.741 + 573.989i) q^{57} +(49.5835 - 15.2945i) q^{58} +(-15.6928 - 39.9847i) q^{59} +(-198.760 - 61.3095i) q^{60} +(-49.2352 - 656.999i) q^{61} +(-74.5599 - 326.668i) q^{62} +(198.560 - 1088.75i) q^{63} +(-14.2413 + 62.3954i) q^{64} +(74.2200 + 11.1869i) q^{65} +(1007.76 - 687.082i) q^{66} +(148.390 - 257.019i) q^{67} +(24.3434 + 42.1640i) q^{68} +(1387.03 + 667.960i) q^{69} +(205.639 + 21.7948i) q^{70} +(-801.230 + 385.852i) q^{71} +(394.987 + 269.297i) q^{72} +(752.913 + 698.601i) q^{73} +(-379.922 - 352.516i) q^{74} +(722.118 + 492.332i) q^{75} +(284.059 - 136.796i) q^{76} +(-851.755 + 863.088i) q^{77} +(-225.650 - 108.667i) q^{78} +(-402.260 - 696.734i) q^{79} +(-44.6627 + 77.3580i) q^{80} +(1014.98 - 692.004i) q^{81} +(559.930 + 84.3959i) q^{82} +(100.454 - 440.119i) q^{83} +(-634.252 - 271.746i) q^{84} +(15.1209 + 66.2488i) q^{85} +(35.8366 + 478.206i) q^{86} +(-230.919 - 71.2290i) q^{87} +(-191.364 - 487.587i) q^{88} +(-358.998 + 110.736i) q^{89} +(416.007 + 521.657i) q^{90} +(240.932 + 62.8539i) q^{91} +(412.206 - 516.890i) q^{92} +(-570.105 + 1452.60i) q^{93} +(81.5313 - 1087.96i) q^{94} +(435.127 - 65.5848i) q^{95} +(218.492 - 202.731i) q^{96} +1218.46 q^{97} +(670.760 + 143.797i) q^{98} -3912.54 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 84 q + 14 q^{2} + 2 q^{3} + 28 q^{4} - 9 q^{5} + 34 q^{6} + 28 q^{7} - 112 q^{8} - 175 q^{9}+O(q^{10}) $ 84 * q + 14 * q^2 + 2 * q^3 + 28 * q^4 - 9 * q^5 + 34 * q^6 + 28 * q^7 - 112 * q^8 - 175 * q^9	\( 84 q + 14 q^{2} + 2 q^{3} + 28 q^{4} - 9 q^{5} + 34 q^{6} + 28 q^{7} - 112 q^{8} - 175 q^{9} - 18 q^{10} - 133 q^{11} - 20 q^{12} + 70 q^{13} - 70 q^{14} - 161 q^{15} + 112 q^{16} - 173 q^{17} - 742 q^{18} + 383 q^{19} + 184 q^{20} - 392 q^{21} - 154 q^{22} + 357 q^{23} - 40 q^{24} + 154 q^{25} - 406 q^{26} + 746 q^{27} - 252 q^{28} - 161 q^{29} + 14 q^{30} + 891 q^{31} + 224 q^{32} - 625 q^{33} - 190 q^{34} + 784 q^{35} - 364 q^{36} + 3668 q^{37} - 1068 q^{38} + 1239 q^{39} + 264 q^{40} + 308 q^{41} + 1162 q^{42} + 490 q^{43} - 728 q^{44} - 1830 q^{45} - 1638 q^{46} - 730 q^{47} - 1184 q^{48} - 2562 q^{49} + 4284 q^{50} - 2513 q^{51} - 1232 q^{52} - 1218 q^{53} - 1390 q^{54} - 935 q^{55} + 504 q^{56} - 2562 q^{57} + 896 q^{58} + 1360 q^{59} + 1204 q^{60} + 4478 q^{61} + 2400 q^{62} + 2723 q^{63} - 896 q^{64} + 434 q^{65} + 2264 q^{66} - 1505 q^{67} + 1268 q^{68} + 3427 q^{69} - 1470 q^{70} - 4697 q^{71} + 560 q^{72} + 681 q^{73} - 1876 q^{74} - 1544 q^{75} - 40 q^{76} - 4137 q^{77} + 1120 q^{78} + 1687 q^{79} + 976 q^{80} + 2310 q^{81} - 308 q^{82} + 7441 q^{83} + 364 q^{84} + 1267 q^{85} + 2254 q^{86} - 12015 q^{87} - 1456 q^{88} - 3593 q^{89} - 3558 q^{90} - 1981 q^{91} + 1260 q^{92} - 6370 q^{93} + 3132 q^{94} + 2247 q^{95} - 160 q^{96} - 18662 q^{97} - 4550 q^{98} + 14966 q^{99}+O(q^{100}) \) 84 * q + 14 * q^2 + 2 * q^3 + 28 * q^4 - 9 * q^5 + 34 * q^6 + 28 * q^7 - 112 * q^8 - 175 * q^9 - 18 * q^10 - 133 * q^11 - 20 * q^12 + 70 * q^13 - 70 * q^14 - 161 * q^15 + 112 * q^16 - 173 * q^17 - 742 * q^18 + 383 * q^19 + 184 * q^20 - 392 * q^21 - 154 * q^22 + 357 * q^23 - 40 * q^24 + 154 * q^25 - 406 * q^26 + 746 * q^27 - 252 * q^28 - 161 * q^29 + 14 * q^30 + 891 * q^31 + 224 * q^32 - 625 * q^33 - 190 * q^34 + 784 * q^35 - 364 * q^36 + 3668 * q^37 - 1068 * q^38 + 1239 * q^39 + 264 * q^40 + 308 * q^41 + 1162 * q^42 + 490 * q^43 - 728 * q^44 - 1830 * q^45 - 1638 * q^46 - 730 * q^47 - 1184 * q^48 - 2562 * q^49 + 4284 * q^50 - 2513 * q^51 - 1232 * q^52 - 1218 * q^53 - 1390 * q^54 - 935 * q^55 + 504 * q^56 - 2562 * q^57 + 896 * q^58 + 1360 * q^59 + 1204 * q^60 + 4478 * q^61 + 2400 * q^62 + 2723 * q^63 - 896 * q^64 + 434 * q^65 + 2264 * q^66 - 1505 * q^67 + 1268 * q^68 + 3427 * q^69 - 1470 * q^70 - 4697 * q^71 + 560 * q^72 + 681 * q^73 - 1876 * q^74 - 1544 * q^75 - 40 * q^76 - 4137 * q^77 + 1120 * q^78 + 1687 * q^79 + 976 * q^80 + 2310 * q^81 - 308 * q^82 + 7441 * q^83 + 364 * q^84 + 1267 * q^85 + 2254 * q^86 - 12015 * q^87 - 1456 * q^88 - 3593 * q^89 - 3558 * q^90 - 1981 * q^91 + 1260 * q^92 - 6370 * q^93 + 3132 * q^94 + 2247 * q^95 - 160 * q^96 - 18662 * q^97 - 4550 * q^98 + 14966 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/98\mathbb{Z}\right)^\times$.

$n$	$3$
$\chi(n)$	$e\left(\frac{20}{21}\right)$

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 $

$2$	−1.46610	+	1.36035i	−0.518346	+	0.480955i
$2$	−1.46610	+	1.36035i	−0.518346	+	0.480955i
$3$	9.21030	−	1.38823i	1.77252	−	0.267165i	0.820160	−	0.572134i	$-0.193884\pi$
$3$	9.21030	−	1.38823i	1.77252	−	0.267165i	0.952362	+	0.304969i	$0.0986461\pi$
$4$	0.298920	−	3.98882i	0.0373650	−	0.498602i
$5$	2.03964	−	5.19691i	0.182431	−	0.464826i	−0.810178	−	0.586184i	$-0.800630\pi$
$5$	2.03964	−	5.19691i	0.182431	−	0.464826i	0.992609	+	0.121358i	$0.0387249\pi$
$6$	−11.6148	+	14.5645i	−0.790286	+	0.990987i
$7$	8.54554	−	16.4309i	0.461416	−	0.887184i
$7$	8.54554	−	16.4309i	0.461416	−	0.887184i
$8$	4.98792	+	6.25465i	0.220437	+	0.276419i
$9$	57.1019	−	17.6136i	2.11489	−	0.652356i
$10$	4.07928	+	10.3938i	0.128998	+	0.328682i
$11$	−62.5656	−	19.2989i	−1.71493	−	0.528986i	−0.727373	−	0.686243i	$-0.759259\pi$
$11$	−62.5656	−	19.2989i	−1.71493	−	0.528986i	−0.987558	+	0.157257i	$0.949735\pi$
$12$	−2.78424	−	37.1531i	−0.0669785	−	0.893766i
$13$	2.99168	+	13.1074i	0.0638264	+	0.279642i	0.996763	−	0.0803998i	$-0.0256197\pi$
$13$	2.99168	+	13.1074i	0.0638264	+	0.279642i	−0.932936	+	0.360041i	$0.882763\pi$
$14$	9.82302	+	35.7143i	0.187522	+	0.681788i
$15$	11.5712	−	50.6966i	0.199177	−	0.872654i
$16$	−15.8213	−	2.38468i	−0.247208	−	0.0372606i
$17$	−10.0567	+	6.85656i	−0.143477	+	0.0978212i	−0.632931	−	0.774208i	$-0.718148\pi$
$17$	−10.0567	+	6.85656i	−0.143477	+	0.0978212i	0.489454	+	0.872029i	$0.337196\pi$
$18$	−59.7568	+	103.502i	−0.782489	+	1.35531i
$19$	39.4102	+	68.2605i	0.475859	+	0.824212i	0.999618	−	0.0276545i	$-0.00880382\pi$
$19$	39.4102	+	68.2605i	0.475859	+	0.824212i	−0.523758	+	0.851867i	$0.675470\pi$
$20$	−20.1198	−	9.68920i	−0.224947	−	0.108329i
$21$	55.8971	−	163.196i	0.580845	−	1.69583i
$22$	117.981	−	56.8166i	1.14335	−	0.550606i
$23$	136.562	+	93.1066i	1.23805	+	0.844090i	0.992132	−	0.125200i	$-0.0399573\pi$
$23$	136.562	+	93.1066i	1.23805	+	0.844090i	0.245921	+	0.969290i	$0.420910\pi$
$24$	54.6231	+	50.6828i	0.464579	+	0.431066i
$25$	68.7837	+	63.8220i	0.550270	+	0.510576i
$26$	−22.2167	−	15.1471i	−0.167579	−	0.114253i
$27$	274.892	−	132.381i	1.95937	−	0.943584i
$28$	−62.9853	−	38.9981i	−0.425111	−	0.263212i
$29$	−23.3751	−	11.2569i	−0.149677	−	0.0720808i	0.357546	−	0.933896i	$-0.383614\pi$
$29$	−23.3751	−	11.2569i	−0.149677	−	0.0720808i	−0.507223	+	0.861815i	$0.669328\pi$
$30$	52.0004	+	90.0673i	0.316464	+	0.548132i
$31$	−83.7673	+	145.089i	−0.485324	+	0.840606i	−0.999858	−	0.0168641i	$-0.994632\pi$
$31$	−83.7673	+	145.089i	−0.485324	+	0.840606i	0.514534	+	0.857470i	$0.327965\pi$
$32$	26.4396	−	18.0262i	0.146060	−	0.0995819i
$33$	−603.039	−	90.8935i	−3.18108	−	0.479471i
$34$	5.41692	−	23.7331i	0.0273233	−	0.119711i
$35$	−67.9600	−	77.9235i	−0.328210	−	0.376328i
$36$	−53.1885	−	233.034i	−0.246243	−	1.07886i
$37$	19.3654	+	258.413i	0.0860445	+	1.14818i	0.858396	+	0.512988i	$0.171462\pi$
$37$	19.3654	+	258.413i	0.0860445	+	1.14818i	−0.772351	+	0.635196i	$0.780919\pi$
$38$	−150.637	−	46.4655i	−0.643069	−	0.198360i
$39$	45.7503	+	116.570i	0.187844	+	0.478619i
$40$	42.6784	−	13.1646i	0.168701	−	0.0520375i
$41$	−176.527	−	221.358i	−0.672412	−	0.843178i	0.322219	−	0.946665i	$-0.395571\pi$
$41$	−176.527	−	221.358i	−0.672412	−	0.843178i	−0.994631	+	0.103487i	$0.967000\pi$
$42$	140.053	+	315.302i	0.514538	+	1.15839i
$43$	149.496	−	187.462i	0.530185	−	0.664831i	−0.442552	−	0.896743i	$-0.645927\pi$
$43$	149.496	−	187.462i	0.530185	−	0.664831i	0.972737	+	0.231912i	$0.0744982\pi$
$44$	−95.6820	+	243.794i	−0.327832	+	0.835302i
$45$	24.9309	−	332.679i	0.0825883	−	1.10206i
$46$	−326.872	+	49.2680i	−1.04771	+	0.157917i
$47$	−399.884	+	371.038i	−1.24104	+	1.15152i	−0.258395	+	0.966039i	$0.583194\pi$
$47$	−399.884	+	371.038i	−1.24104	+	1.15152i	−0.982648	+	0.185480i	$0.940616\pi$
$48$	−149.029			−0.448136
$49$	−196.948	−	280.821i	−0.574191	−	0.818721i
$50$	−187.664			−0.530794
$51$	−83.1070	+	77.1120i	−0.228182	+	0.211722i
$52$	53.1773	−	8.01519i	0.141815	−	0.0213751i
$53$	−6.51322	+	86.9129i	−0.0168804	+	0.225253i	0.982383	+	0.186878i	$0.0598371\pi$
$53$	−6.51322	+	86.9129i	−0.0168804	+	0.225253i	−0.999263	+	0.0383746i	$0.987782\pi$
$54$	−222.936	+	568.033i	−0.561811	+	1.43147i
$55$	−227.906	+	285.785i	−0.558742	+	0.700641i
$56$	145.394	−	28.5065i	0.346948	−	0.0680240i
$57$	457.741	+	573.989i	1.06367	+	1.33380i
$58$	49.5835	−	15.2945i	0.112252	−	0.0346253i
$59$	−15.6928	−	39.9847i	−0.0346276	−	0.0882298i	0.912514	−	0.409045i	$-0.134138\pi$
$59$	−15.6928	−	39.9847i	−0.0346276	−	0.0882298i	−0.947142	+	0.320816i	$0.896043\pi$
$60$	−198.760	−	61.3095i	−0.427664	−	0.131917i
$61$	−49.2352	−	656.999i	−0.103343	−	1.37902i	−0.772083	−	0.635521i	$-0.780785\pi$
$61$	−49.2352	−	656.999i	−0.103343	−	1.37902i	0.668740	−	0.743496i	$-0.266834\pi$
$62$	−74.5599	−	326.668i	−0.152728	−	0.669144i
$63$	198.560	−	1088.75i	0.397082	−	2.17730i
$64$	−14.2413	+	62.3954i	−0.0278151	+	0.121866i
$65$	74.2200	+	11.1869i	0.141629	+	0.0213471i
$66$	1007.76	−	687.082i	1.87950	−	1.28142i
$67$	148.390	−	257.019i	0.270578	−	0.468654i	−0.698432	−	0.715676i	$-0.746119\pi$
$67$	148.390	−	257.019i	0.270578	−	0.468654i	0.969010	+	0.247022i	$0.0794520\pi$
$68$	24.3434	+	42.1640i	0.0434128	+	0.0751932i
$69$	1387.03	+	667.960i	2.41999	+	1.16540i
$70$	205.639	+	21.7948i	0.351123	+	0.0372139i
$71$	−801.230	+	385.852i	−1.33928	+	0.644961i	−0.959916	−	0.280289i	$-0.909570\pi$
$71$	−801.230	+	385.852i	−1.33928	+	0.644961i	−0.379359	+	0.925249i	$0.623856\pi$
$72$	394.987	+	269.297i	0.646523	+	0.440792i
$73$	752.913	+	698.601i	1.20715	+	1.12007i	0.989574	+	0.144025i	$0.0460046\pi$
$73$	752.913	+	698.601i	1.20715	+	1.12007i	0.217573	+	0.976044i	$0.430186\pi$
$74$	−379.922	−	352.516i	−0.596825	−	0.553773i
$75$	722.118	+	492.332i	1.11177	+	0.757994i
$76$	284.059	−	136.796i	0.428734	−	0.206468i
$77$	−851.755	+	863.088i	−1.26060	+	1.27738i
$78$	−225.650	−	108.667i	−0.327562	−	0.157746i
$79$	−402.260	−	696.734i	−0.572883	−	0.992263i	−0.996268	−	0.0863128i	$-0.972492\pi$
$79$	−402.260	−	696.734i	−0.572883	−	0.992263i	0.423385	−	0.905950i	$-0.360842\pi$
$80$	−44.6627	+	77.3580i	−0.0624180	+	0.108111i
$81$	1014.98	−	692.004i	1.39230	−	0.949251i
$82$	559.930	+	84.3959i	0.754073	+	0.113658i
$83$	100.454	−	440.119i	0.132847	−	0.582040i	−0.864056	−	0.503396i	$-0.832084\pi$
$83$	100.454	−	440.119i	0.132847	−	0.582040i	0.996903	−	0.0786442i	$-0.0250591\pi$
$84$	−634.252	−	271.746i	−0.823840	−	0.352975i
$85$	15.1209	+	66.2488i	0.0192952	+	0.0845376i
$86$	35.8366	+	478.206i	0.0449344	+	0.599607i
$87$	−230.919	−	71.2290i	−0.284564	−	0.0877764i
$88$	−191.364	−	487.587i	−0.231812	−	0.590648i
$89$	−358.998	+	110.736i	−0.427570	+	0.131888i	−0.501069	−	0.865408i	$-0.667060\pi$
$89$	−358.998	+	110.736i	−0.427570	+	0.131888i	0.0734990	+	0.997295i	$0.476583\pi$
$90$	416.007	+	521.657i	0.487234	+	0.610972i
$91$	240.932	+	62.8539i	0.277544	+	0.0724053i
$92$	412.206	−	516.890i	0.467125	−	0.585756i
$93$	−570.105	+	1452.60i	−0.635668	+	1.61965i
$94$	81.5313	−	1087.96i	0.0894608	−	1.19377i
$95$	435.127	−	65.5848i	0.469927	−	0.0708301i
$96$	218.492	−	202.731i	0.232289	−	0.215533i
$97$	1218.46			1.27542			0.637709	−	0.770278i	$-0.279882\pi$
$97$	1218.46			1.27542			0.637709	+	0.770278i	$0.279882\pi$
$98$	670.760	+	143.797i	0.691398	+	0.148221i
$99$	−3912.54			−3.97197
$100$	275.135	−	255.288i	0.275135	−	0.255288i
$101$	−1086.62	+	163.781i	−1.07052	+	0.161355i	−0.660578	−	0.750758i	$-0.729689\pi$
$101$	−1086.62	+	163.781i	−1.07052	+	0.161355i	−0.409940	+	0.912112i	$0.634450\pi$
$102$	16.9445	−	226.108i	0.0164486	−	0.219491i
$103$	−112.480	+	286.593i	−0.107601	+	0.274164i	−0.974526	−	0.224276i	$-0.927998\pi$
$103$	−112.480	+	286.593i	−0.107601	+	0.274164i	0.866924	+	0.498440i	$0.166094\pi$
$104$	−67.0600	+	84.0906i	−0.0632286	+	0.0792861i
$105$	−734.108	−	623.354i	−0.682301	−	0.579363i
$106$	−108.683	−	136.284i	−0.0995866	−	0.124878i
$107$	83.1184	−	25.6386i	0.0750968	−	0.0231643i	−0.256979	−	0.966417i	$-0.582727\pi$
$107$	83.1184	−	25.6386i	0.0750968	−	0.0231643i	0.332076	+	0.943253i	$0.392251\pi$
$108$	−445.873	−	1136.07i	−0.397261	−	1.01220i
$109$	−114.605	−	35.3508i	−0.100708	−	0.0310642i	0.243992	−	0.969777i	$-0.421543\pi$
$109$	−114.605	−	35.3508i	−0.100708	−	0.0310642i	−0.344699	+	0.938713i	$0.612019\pi$
$110$	−54.6326	−	729.021i	−0.0473547	−	0.631904i
$111$	537.097	+	2353.18i	0.459270	+	2.01219i
$112$	−174.384	+	239.579i	−0.147123	+	0.202126i
$113$	319.431	−	1399.52i	0.265925	−	1.16509i	−0.648782	−	0.760975i	$-0.724721\pi$
$113$	319.431	−	1399.52i	0.265925	−	1.16509i	0.914707	−	0.404119i	$-0.132422\pi$
$114$	−1451.92	−	218.842i	−1.19285	−	0.179793i
$115$	762.404	−	519.798i	0.618214	−	0.421491i
$116$	−51.8888	+	89.8740i	−0.0415324	+	0.0719361i
$117$	401.699	+	695.764i	0.317411	+	0.549773i
$118$	77.4002	+	37.2740i	0.0603836	+	0.0290792i
$119$	26.7192	+	223.834i	0.0205827	+	0.172427i
$120$	374.806	−	180.497i	0.285124	−	0.137309i
$121$	2442.28	+	1665.12i	1.83492	+	1.25103i
$122$	965.929	+	896.251i	0.716812	+	0.665105i
$123$	−1933.16	−	1793.71i	−1.41713	−	1.31491i
$124$	553.694	+	377.502i	0.400994	+	0.273393i
$125$	1100.72	−	530.077i	0.787608	−	0.379292i
$126$	1189.97	+	1866.33i	0.841357	+	1.31957i
$127$	−85.7568	−	41.2983i	−0.0599188	−	0.0288554i	0.403684	−	0.914898i	$-0.367729\pi$
$127$	−85.7568	−	41.2983i	−0.0599188	−	0.0288554i	−0.463603	+	0.886043i	$0.653444\pi$
$128$	−64.0000	−	110.851i	−0.0441942	−	0.0765466i
$129$	1116.66	−	1934.12i	0.762145	−	1.32007i
$130$	−124.032	+	84.5637i	−0.0836795	+	0.0570518i
$131$	1287.60	+	194.075i	0.858766	+	0.129438i	0.563640	−	0.826020i	$-0.309400\pi$
$131$	1287.60	+	194.075i	0.858766	+	0.129438i	0.295126	+	0.955458i	$0.404639\pi$
$132$	−542.818	+	2378.24i	−0.357926	+	1.56818i
$133$	1458.36	−	64.2217i	0.950797	−	0.0418702i
$134$	132.079	+	578.678i	0.0851487	+	0.373061i
$135$	−127.292	−	1698.60i	−0.0811525	−	1.08291i
$136$	−93.0476	−	28.7014i	−0.0586674	−	0.0180965i
$137$	21.4928	+	54.7627i	0.0134033	+	0.0341510i	0.937419	−	0.348204i	$-0.113208\pi$
$137$	21.4928	+	54.7627i	0.0134033	+	0.0341510i	−0.924015	+	0.382355i	$0.875113\pi$
$138$	−2942.19	+	907.545i	−1.81490	+	0.559822i
$139$	−1041.11	−	1305.52i	−0.635296	−	0.796636i	0.355110	−	0.934824i	$-0.384443\pi$
$139$	−1041.11	−	1305.52i	−0.635296	−	0.796636i	−0.990406	+	0.138189i	$0.955872\pi$
$140$	−331.137	+	247.787i	−0.199901	+	0.149585i
$141$	−3167.96	+	3972.50i	−1.89213	+	2.37266i
$142$	649.794	−	1655.65i	0.384011	−	0.978444i
$143$	65.7827	−	877.809i	0.0384687	−	0.513329i
$144$	−945.429	+	142.501i	−0.547123	+	0.0824656i
$145$	−106.178	+	98.5184i	−0.0608108	+	0.0564242i
$146$	−2054.19			−1.16442
$147$	−2203.79	−	2313.04i	−1.23650	−	1.29780i
$148$	1036.55			0.575702
$149$	−1032.91	+	958.396i	−0.567912	+	0.526945i	−0.911026	−	0.412348i	$-0.864709\pi$
$149$	−1032.91	+	958.396i	−0.567912	+	0.526945i	0.343114	+	0.939294i	$0.388518\pi$
$150$	−1728.44	+	260.521i	−0.940844	+	0.141809i
$151$	140.055	−	1868.91i	0.0754803	−	1.00721i	−0.822955	−	0.568107i	$-0.807676\pi$
$151$	140.055	−	1868.91i	0.0754803	−	1.00721i	0.898435	−	0.439107i	$-0.144705\pi$
$152$	−230.371	+	586.975i	−0.122931	+	0.313223i
$153$	−453.490	+	568.658i	−0.239624	+	0.300479i
$154$	74.6636	−	2424.06i	0.0390686	−	1.26842i
$155$	583.161	+	731.261i	0.302197	+	0.378944i
$156$	478.652	−	147.645i	0.245659	−	0.0757758i
$157$	905.793	+	2307.92i	0.460447	+	1.17320i	0.953014	+	0.302925i	$0.0979632\pi$
$157$	905.793	+	2307.92i	0.460447	+	1.17320i	−0.492568	+	0.870274i	$0.663942\pi$
$158$	1537.55	+	474.273i	0.774185	+	0.238804i
$159$	60.6663	+	809.536i	0.0302588	+	0.403776i
$160$	−39.7535	−	174.171i	−0.0196424	−	0.0860592i
$161$	2696.82	−	1448.19i	1.32012	−	0.708904i
$162$	−546.706	+	2395.28i	−0.265144	+	1.16167i
$163$	−3327.30	−	501.510i	−1.59886	−	0.240989i	−0.711711	−	0.702472i	$-0.752080\pi$
$163$	−3327.30	−	501.510i	−1.59886	−	0.240989i	−0.887149	+	0.461483i	$0.847318\pi$
$164$	−935.723	+	637.965i	−0.445535	+	0.303761i
$165$	−1702.35	+	2948.55i	−0.803197	+	1.39118i
$166$	451.437	+	781.912i	0.211074	+	0.365591i
$167$	−2186.15	−	1052.80i	−1.01299	−	0.487831i	−0.147664	−	0.989038i	$-0.547175\pi$
$167$	−2186.15	−	1052.80i	−1.01299	−	0.487831i	−0.865328	+	0.501207i	$0.832890\pi$
$168$	1299.55	−	464.393i	0.596799	−	0.213266i
$169$	1816.57	−	874.816i	0.826843	−	0.398187i
$170$	−112.290	−	76.5581i	−0.0506603	−	0.0345396i
$171$	3452.71	+	3203.65i	1.54407	+	1.43269i
$172$	−703.065	−	652.349i	−0.311676	−	0.289193i
$173$	1196.58	+	815.815i	0.525863	+	0.358527i	0.796967	−	0.604023i	$-0.206436\pi$
$173$	1196.58	+	815.815i	0.525863	+	0.358527i	−0.271104	+	0.962550i	$0.587389\pi$
$174$	435.447	−	209.700i	0.189719	−	0.0913639i
$175$	1636.44	−	584.784i	0.706878	−	0.252603i
$176$	943.847	+	454.533i	0.404234	+	0.194669i
$177$	−200.043	−	346.485i	−0.0849502	−	0.147138i
$178$	375.689	−	650.712i	0.158197	−	0.274005i
$179$	−1978.11	+	1348.65i	−0.825982	+	0.563145i	−0.900891	−	0.434046i	$-0.857086\pi$
$179$	−1978.11	+	1348.65i	−0.825982	+	0.563145i	0.0749093	+	0.997190i	$0.476133\pi$
$180$	−1319.54	−	198.889i	−0.546405	−	0.0823573i
$181$	694.096	−	3041.03i	0.285037	−	1.24883i	−0.606207	−	0.795307i	$-0.707310\pi$
$181$	694.096	−	3041.03i	0.285037	−	1.24883i	0.891245	−	0.453523i	$-0.149833\pi$
$182$	−438.734	+	235.600i	−0.178687	+	0.0959551i
$183$	−1365.54	−	5982.80i	−0.551603	−	2.41673i
$184$	98.8122	+	1318.56i	0.0395899	+	0.528290i
$185$	1382.45	+	426.429i	0.549403	+	0.169468i
$186$	−1140.21	−	2905.21i	−0.449485	−	1.14527i
$187$	761.530	−	234.901i	0.297800	−	0.0918591i
$188$	1360.47	+	1705.97i	0.527778	+	0.661813i
$189$	173.964	−	5647.99i	0.0669526	−	2.17371i
$190$	−548.723	+	688.076i	−0.209519	+	0.262728i
$191$	−1078.43	+	2747.80i	−0.408548	+	1.04096i	0.567494	+	0.823378i	$0.307913\pi$
$191$	−1078.43	+	2747.80i	−0.408548	+	1.04096i	−0.976041	+	0.217585i	$0.930182\pi$
$192$	−44.5479	+	594.450i	−0.0167446	+	0.223441i
$193$	−4251.03	+	640.739i	−1.58547	+	0.238971i	−0.881824	−	0.471580i	$-0.843684\pi$
$193$	−4251.03	+	640.739i	−1.58547	+	0.238971i	−0.703646	+	0.710551i	$0.748446\pi$
$194$	−1786.38	+	1657.52i	−0.661107	+	0.613418i
$195$	699.118			0.256743
$196$	−1179.02	+	701.644i	−0.429671	+	0.255701i
$197$	4252.14			1.53783			0.768914	−	0.639352i	$-0.220797\pi$
$197$	4252.14			1.53783			0.768914	+	0.639352i	$0.220797\pi$
$198$	5736.19	−	5322.41i	2.05886	−	1.91034i
$199$	−96.3273	+	14.5190i	−0.0343139	+	0.00517198i	−0.166177	−	0.986096i	$-0.553142\pi$
$199$	−96.3273	+	14.5190i	−0.0343139	+	0.00517198i	0.131863	+	0.991268i	$0.457904\pi$
$200$	−56.0966	+	748.557i	−0.0198331	+	0.264655i
$201$	1009.91	−	2573.22i	0.354397	−	0.902989i
$202$	1370.29	−	1718.29i	0.477294	−	0.598508i
$203$	−384.713	+	287.877i	−0.133012	+	0.0995322i
$204$	282.743	+	354.549i	0.0970391	+	0.121683i
$205$	−1510.43	+	465.906i	−0.514600	+	0.158733i
$206$	−224.959	−	573.187i	−0.0760857	−	0.193863i
$207$	9437.91	+	2911.21i	3.16899	+	0.977503i
$208$	−16.0753	−	214.510i	−0.00535876	−	0.0715077i
$209$	−1148.37	−	5031.33i	−0.380069	−	1.66519i
$210$	1924.26	−	84.7382i	0.632315	−	0.0278452i
$211$	272.073	−	1192.03i	0.0887689	−	0.388922i	−0.910953	−	0.412511i	$-0.864652\pi$
$211$	272.073	−	1192.03i	0.0887689	−	0.388922i	0.999722	+	0.0235884i	$0.00750912\pi$
$212$	344.733	+	51.9601i	0.111681	+	0.0168332i
$213$	−6843.92	+	4666.10i	−2.20158	+	1.50101i
$214$	−86.9828	+	150.659i	−0.0277851	+	0.0481253i
$215$	−669.307	−	1159.27i	−0.212309	−	0.367729i
$216$	2199.14	+	1059.05i	0.692742	+	0.333607i
$217$	1668.11	+	2616.24i	0.521836	+	0.818441i
$218$	216.111	−	104.074i	0.0671418	−	0.0323338i
$219$	7904.37	+	5389.11i	2.43894	+	1.66284i
$220$	1071.82	+	994.502i	0.328463	+	0.304770i
$221$	−119.958	−	111.305i	−0.0365125	−	0.0338787i
$222$	−3988.57	−	2719.36i	−1.20584	−	0.822125i
$223$	−2017.33	+	971.494i	−0.605786	+	0.291731i	−0.711523	−	0.702663i	$-0.751994\pi$
$223$	−2017.33	+	971.494i	−0.605786	+	0.291731i	0.105737	+	0.994394i	$0.466280\pi$
$224$	−70.2460	−	588.470i	−0.0209532	−	0.175531i
$225$	5051.82	+	2432.83i	1.49684	+	0.720838i
$226$	1435.51	+	2486.37i	0.422516	+	0.731819i
$227$	3136.73	−	5432.97i	0.917145	−	1.58854i	0.113414	−	0.993548i	$-0.463821\pi$
$227$	3136.73	−	5432.97i	0.917145	−	1.58854i	0.803730	−	0.594994i	$-0.202845\pi$
$228$	2426.37	−	1654.27i	0.704781	−	0.480511i
$229$	−143.837	−	21.6800i	−0.0415068	−	0.00625614i	0.128256	−	0.991741i	$-0.459062\pi$
$229$	−143.837	−	21.6800i	−0.0415068	−	0.00625614i	−0.169763	+	0.985485i	$0.554300\pi$
$230$	−410.658	+	1799.21i	−0.117730	+	0.515811i
$231$	−6646.75	+	9131.73i	−1.89318	+	2.60097i
$232$	−46.1854	−	202.351i	−0.0130699	−	0.0572630i
$233$	−242.462	−	3235.43i	−0.0681727	−	0.909701i	−0.921513	−	0.388347i	$-0.873046\pi$
$233$	−242.462	−	3235.43i	−0.0681727	−	0.909701i	0.853341	−	0.521354i	$-0.174573\pi$
$234$	−1535.41	−	473.612i	−0.428945	−	0.132312i
$235$	1112.63	+	2834.94i	0.308852	+	0.786942i
$236$	−164.182	+	50.6435i	−0.0452854	+	0.0139687i
$237$	−4672.16	−	5858.70i	−1.28055	−	1.60575i
$238$	−343.665	−	291.816i	−0.0935986	−	0.0794775i
$239$	1010.79	−	1267.49i	0.273568	−	0.343043i	−0.626001	−	0.779822i	$-0.715309\pi$
$239$	1010.79	−	1267.49i	0.273568	−	0.343043i	0.899569	+	0.436779i	$0.143881\pi$
$240$	−303.966	+	774.492i	−0.0817538	+	0.208305i
$241$	−266.974	+	3562.52i	−0.0713581	+	0.952208i	0.840529	+	0.541767i	$0.182244\pi$
$241$	−266.974	+	3562.52i	−0.0713581	+	0.952208i	−0.911887	+	0.410441i	$0.865375\pi$
$242$	−5845.77	+	881.109i	−1.55281	+	0.234049i
$243$	2348.83	−	2179.40i	0.620073	−	0.575343i
$244$	−2635.36			−0.691442
$245$	−1861.11	+	450.745i	−0.485313	+	0.117539i
$246$	5274.29			1.36698
$247$	−776.815	+	720.779i	−0.200112	+	0.185676i
$248$	−1325.31	+	199.758i	−0.339343	+	0.0511477i
$249$	314.228	−	4193.08i	0.0799734	−	1.06717i
$250$	−892.676	+	2274.50i	−0.225831	+	0.575408i
$251$	785.142	−	984.537i	0.197441	−	0.247583i	−0.673248	−	0.739416i	$-0.735102\pi$
$251$	785.142	−	984.537i	0.197441	−	0.247583i	0.870690	+	0.491833i	$0.163673\pi$
$252$	−4283.48	−	1117.47i	−1.07077	−	0.279341i
$253$	−6747.24	−	8460.77i	−1.67666	−	2.10247i
$254$	181.908	−	56.1113i	0.0449368	−	0.0138612i
$255$	231.236	+	589.180i	0.0567866	+	0.144690i
$256$	244.627	+	75.4573i	0.0597233	+	0.0184222i
$257$	−302.346	−	4034.53i	−0.0733846	−	0.979250i	−0.905417	−	0.424523i	$-0.860442\pi$
$257$	−302.346	−	4034.53i	−0.0733846	−	0.979250i	0.832033	−	0.554727i	$-0.187177\pi$
$258$	993.924	+	4354.67i	0.239841	+	1.05081i
$259$	4411.44	+	1890.09i	1.05835	+	0.453453i
$260$	66.8082	−	292.706i	0.0159356	−	0.0698186i
$261$	−1533.04	−	231.068i	−0.363573	−	0.0547998i
$262$	−2151.77	+	1467.05i	−0.507392	+	0.345934i
$263$	−2470.96	+	4279.84i	−0.579339	+	1.00344i	0.416216	+	0.909266i	$0.363356\pi$
$263$	−2470.96	+	4279.84i	−0.579339	+	1.00344i	−0.995555	+	0.0941792i	$0.969977\pi$
$264$	−2439.40	−	4225.17i	−0.568693	−	0.985004i
$265$	438.394	+	211.120i	0.101624	+	0.0489395i
$266$	−2050.75	+	2078.03i	−0.472704	+	0.478994i
$267$	−3152.75	+	1518.28i	−0.722641	+	0.348006i
$268$	−980.843	−	668.728i	−0.223562	−	0.152422i
$269$	2937.18	+	2725.30i	0.665735	+	0.617712i	0.938873	−	0.344263i	$-0.111871\pi$
$269$	2937.18	+	2725.30i	0.665735	+	0.617712i	−0.273138	+	0.961975i	$0.588062\pi$
$270$	2497.31	+	2317.16i	0.562894	+	0.522289i
$271$	1784.37	+	1216.56i	0.399973	+	0.272697i	0.746556	−	0.665322i	$-0.231706\pi$
$271$	1784.37	+	1216.56i	0.399973	+	0.272697i	−0.346583	+	0.938019i	$0.612658\pi$
$272$	175.461	−	84.4976i	0.0391136	−	0.0188361i
$273$	2306.31	+	244.435i	0.511297	+	0.0541900i
$274$	−106.007	−	51.0502i	−0.0233727	−	0.0112557i
$275$	−3071.80	−	5320.51i	−0.673587	−	1.16669i
$276$	3078.98	−	5332.95i	0.671496	−	1.16306i
$277$	−610.454	+	416.201i	−0.132414	+	0.0902782i	−0.627716	−	0.778443i	$-0.716010\pi$
$277$	−610.454	+	416.201i	−0.132414	+	0.0902782i	0.495302	+	0.868721i	$0.335058\pi$
$278$	3302.33	+	497.747i	0.712449	+	0.107384i
$279$	−2227.73	+	9760.32i	−0.478031	+	2.09439i
$280$	148.405	−	813.742i	0.0316746	−	0.173680i
$281$	1396.94	+	6120.41i	0.296565	+	1.29934i	0.875205	+	0.483752i	$0.160726\pi$
$281$	1396.94	+	6120.41i	0.296565	+	1.29934i	−0.578640	+	0.815583i	$0.696416\pi$
$282$	−759.410	−	10133.6i	−0.160362	−	2.13989i
$283$	601.596	+	185.568i	0.126364	+	0.0389783i	0.357292	−	0.933993i	$-0.383700\pi$
$283$	601.596	+	185.568i	0.126364	+	0.0389783i	−0.230928	+	0.972971i	$0.574176\pi$
$284$	1299.59	+	3311.30i	0.271537	+	0.691864i
$285$	3916.60	−	1208.11i	0.814032	−	0.251096i
$286$	1097.68	+	1376.45i	0.226948	+	0.284584i
$287$	−5145.62	+	1008.87i	−1.05832	+	0.207498i
$288$	1192.25	−	1495.03i	0.243937	−	0.305887i
$289$	−1740.80	+	4435.47i	−0.354324	+	0.902803i
$290$	21.6483	−	288.876i	0.00438356	−	0.0584945i
$291$	11222.3	−	1691.50i	2.26071	−	0.340747i
$292$	3011.65	−	2794.40i	0.603574	−	0.560034i
$293$	416.027			0.0829506			0.0414753	−	0.999140i	$-0.486794\pi$
$293$	416.027			0.0829506			0.0414753	+	0.999140i	$0.486794\pi$
$294$	6377.52	+	393.242i	1.26512	+	0.0780080i
$295$	−239.804			−0.0473287
$296$	−1519.69	+	1410.07i	−0.298413	+	0.276887i
$297$	−19753.6	+	2977.38i	−3.85933	+	0.581700i
$298$	210.597	−	2810.22i	0.0409380	−	0.546280i
$299$	−811.835	+	2068.52i	−0.157022	+	0.400086i
$300$	2179.68	−	2733.23i	0.419479	−	0.526010i
$301$	−1802.64	−	4058.32i	−0.345192	−	0.777135i
$302$	2337.02	+	2930.53i	0.445300	+	0.558388i
$303$	−9780.69	+	3016.94i	−1.85441	+	0.572009i
$304$	−460.742	−	1173.95i	−0.0869255	−	0.221482i
$305$	−3514.79	−	1084.17i	−0.659856	−	0.203539i
$306$	−108.709	−	1450.62i	−0.0203087	−	0.271000i
$307$	−1081.01	−	4736.22i	−0.200966	−	0.880490i	−0.970350	−	0.241703i	$-0.922294\pi$
$307$	−1081.01	−	4736.22i	−0.200966	−	0.880490i	0.769384	−	0.638786i	$-0.220563\pi$
$308$	3188.09	+	3655.49i	0.589800	+	0.676269i
$309$	−638.113	+	2795.76i	−0.117479	+	0.514709i
$310$	−1849.74	−	278.804i	−0.338898	−	0.0510806i
$311$	5163.43	−	3520.37i	0.941452	−	0.641871i	0.00776796	−	0.999970i	$-0.497527\pi$
$311$	5163.43	−	3520.37i	0.941452	−	0.641871i	0.933684	+	0.358099i	$0.116575\pi$
$312$	−500.906	+	867.594i	−0.0908916	+	0.157429i
$313$	2770.90	+	4799.34i	0.500386	+	0.866693i	1.00000		0.000445200i	$0.000141711\pi$
$313$	2770.90	+	4799.34i	0.500386	+	0.866693i	−0.499614	+	0.866248i	$0.666525\pi$
$314$	−4467.56	−	2151.46i	−0.802926	−	0.386669i
$315$	−5253.16	−	3252.56i	−0.939626	−	0.581781i
$316$	−2899.39	+	1396.27i	−0.516150	+	0.248565i
$317$	−1379.63	−	940.616i	−0.244441	−	0.166657i	0.434902	−	0.900478i	$-0.356783\pi$
$317$	−1379.63	−	940.616i	−0.244441	−	0.166657i	−0.679343	+	0.733821i	$0.737735\pi$
$318$	−1190.19	−	1104.34i	−0.209883	−	0.194743i
$319$	1245.23	+	1155.41i	0.218557	+	0.202791i
$320$	295.216	+	201.275i	0.0515721	+	0.0351613i
$321$	729.953	−	351.527i	0.126922	−	0.0611225i
$322$	−1983.78	+	5791.81i	−0.343328	+	1.00238i
$323$	−864.370	−	416.259i	−0.148900	−	0.0717067i
$324$	−2456.88	−	4255.43i	−0.421275	−	0.729670i
$325$	−630.761	+	1092.51i	−0.107656	+	0.186466i
$326$	5560.39	−	3791.01i	0.944668	−	0.644064i
$327$	−1104.62	−	166.494i	−0.186806	−	0.0281564i
$328$	504.014	−	2208.23i	0.0848461	−	0.371735i
$329$	2679.26	+	9741.16i	0.448973	+	1.63236i
$330$	−1515.23	−	6638.66i	−0.252760	−	1.10741i
$331$	−296.879	−	3961.58i	−0.0492990	−	0.657849i	−0.966044	−	0.258377i	$-0.916812\pi$
$331$	−296.879	−	3961.58i	−0.0492990	−	0.657849i	0.916745	−	0.399472i	$-0.130807\pi$
$332$	−1725.52	−	532.254i	−0.285242	−	0.0879856i
$333$	5657.39	+	14414.8i	0.930999	+	2.37215i
$334$	4637.29	−	1430.42i	0.759705	−	0.234338i
$335$	−1033.04	−	1295.39i	−0.168481	−	0.211268i
$336$	−1273.54	+	2448.68i	−0.206777	+	0.397579i
$337$	−4521.58	+	5669.88i	−0.730878	+	0.916492i	−0.998899	−	0.0469211i	$-0.985059\pi$
$337$	−4521.58	+	5669.88i	−0.730878	+	0.916492i	0.268021	+	0.963413i	$0.413631\pi$
$338$	−1473.23	+	3753.74i	−0.237081	+	0.604073i
$339$	999.201	−	13333.4i	0.160086	−	2.13620i
$340$	268.774	−	40.5112i	0.0428716	−	0.00646185i
$341$	8041.02	−	7460.97i	1.27697	−	1.18485i
$342$	−9420.11			−1.48942
$343$	−6297.17	+	836.250i	−0.991297	+	0.131642i
$344$	1918.19			0.300644
$345$	6300.37	−	5845.89i	0.983190	−	0.912267i
$346$	−2864.10	+	431.694i	−0.445014	+	0.0670751i
$347$	145.826	−	1945.91i	0.0225601	−	0.301043i	−0.974498	−	0.224396i	$-0.927959\pi$
$347$	145.826	−	1945.91i	0.0225601	−	0.301043i	0.997058	−	0.0766478i	$-0.0244217\pi$
$348$	−353.145	+	899.800i	−0.0543982	+	0.138604i
$349$	695.539	−	872.179i	0.106680	−	0.133773i	−0.725625	−	0.688090i	$-0.758449\pi$
$349$	695.539	−	872.179i	0.106680	−	0.133773i	0.832305	+	0.554318i	$0.187021\pi$
$350$	−1603.69	+	3083.48i	−0.244917	+	0.470912i
$351$	2557.56	+	3207.08i	0.388925	+	0.487696i
$352$	−2002.10	+	617.566i	−0.303160	+	0.0935124i
$353$	−3400.28	−	8663.78i	−0.512688	−	1.30631i	−0.919606	−	0.392842i	$-0.871492\pi$
$353$	−3400.28	−	8663.78i	−0.512688	−	1.30631i	0.406918	−	0.913465i	$-0.366603\pi$
$354$	764.624	+	235.855i	0.114800	+	0.0354112i
$355$	371.020	+	4950.92i	0.0554696	+	0.740191i
$356$	334.394	+	1465.08i	0.0497833	+	0.218115i
$357$	556.824	+	2024.48i	0.0825498	+	0.300132i
$358$	1065.48	−	4668.17i	0.157297	−	0.689164i
$359$	−6470.29	−	975.239i	−0.951222	−	0.143374i	−0.344941	−	0.938624i	$-0.612101\pi$
$359$	−6470.29	−	975.239i	−0.951222	−	0.143374i	−0.606281	+	0.795251i	$0.707339\pi$
$360$	2205.15	−	1503.44i	0.322837	−	0.220107i
$361$	323.168	−	559.743i	0.0471159	−	0.0816071i
$362$	3119.24	+	5402.68i	0.452883	+	0.784416i
$363$	24805.7	+	11945.8i	3.58667	+	1.72725i
$364$	322.732	−	942.244i	0.0464719	−	0.135679i
$365$	5166.24	−	2487.93i	0.740858	−	0.356778i
$366$	10140.7	+	6913.81i	1.44826	+	0.987406i
$367$	1923.65	+	1784.88i	0.273607	+	0.253870i	0.805027	−	0.593239i	$-0.202151\pi$
$367$	1923.65	+	1784.88i	0.273607	+	0.253870i	−0.531420	+	0.847108i	$0.678341\pi$
$368$	−1938.56	−	1798.72i	−0.274605	−	0.254796i
$369$	−13979.0	−	9530.69i	−1.97213	−	1.34457i
$370$	−2606.90	+	1255.42i	−0.366287	+	0.176395i
$371$	1372.40	+	849.736i	0.192052	+	0.118911i
$372$	5623.75	+	2708.25i	0.783811	+	0.377464i
$373$	1671.35	+	2894.86i	0.232009	+	0.401851i	0.958399	−	0.285431i	$-0.0921369\pi$
$373$	1671.35	+	2894.86i	0.232009	+	0.401851i	−0.726390	+	0.687282i	$0.758804\pi$
$374$	−796.935	+	1380.33i	−0.110183	+	0.190843i
$375$	9402.05	−	6410.21i	1.29472	−	0.882725i
$376$	−4315.30	−	650.427i	−0.591874	−	0.0892106i
$377$	77.6173	−	340.064i	0.0106034	−	0.0464567i
$378$	7428.17	+	8517.19i	1.01075	+	1.15893i
$379$	1.36041	+	5.96035i	0.000184379	+	0.000807816i	0.975020	−	0.222117i	$-0.0712967\pi$
$379$	1.36041	+	5.96035i	0.000184379	+	0.000807816i	−0.974836	+	0.222925i	$0.928440\pi$
$380$	−131.537	−	1755.24i	−0.0177572	−	0.236953i
$381$	−847.177	−	261.319i	−0.113916	−	0.0351386i
$382$	−2156.86	−	5495.60i	−0.288887	−	0.736071i
$383$	568.466	−	175.349i	0.0758414	−	0.0233940i	−0.256602	−	0.966517i	$-0.582603\pi$
$383$	568.466	−	175.349i	0.0758414	−	0.0233940i	0.332444	+	0.943123i	$0.392127\pi$
$384$	−743.346	−	932.126i	−0.0987857	−	0.123873i
$385$	2748.12	+	6186.88i	0.363785	+	0.818994i
$386$	5360.82	−	6722.26i	0.706887	−	0.886409i
$387$	5234.63	−	13337.6i	0.687575	−	1.75191i
$388$	364.221	−	4860.20i	0.0476560	−	0.635926i
$389$	11635.2	−	1753.72i	1.51652	−	0.228579i	0.662598	−	0.748975i	$-0.269454\pi$
$389$	11635.2	−	1753.72i	1.51652	−	0.228579i	0.853925	+	0.520396i	$0.174216\pi$
$390$	−1024.98	+	951.042i	−0.133082	+	0.123482i
$391$	−2011.76			−0.260202
$392$	774.082	−	2632.55i	0.0997374	−	0.339194i
$393$	12128.6			1.55676
$394$	−6234.07	+	5784.37i	−0.797127	+	0.739626i
$395$	−4441.33	+	669.423i	−0.565741	+	0.0852717i
$396$	−1169.54	+	15606.4i	−0.148413	+	1.98043i
$397$	−1125.58	+	2867.94i	−0.142296	+	0.362564i	−0.984199	−	0.177065i	$-0.943340\pi$
$397$	−1125.58	+	2867.94i	−0.142296	+	0.362564i	0.841904	+	0.539628i	$0.181435\pi$
$398$	121.475	−	152.325i	0.0152990	−	0.0191843i
$399$	13342.8	−	2616.04i	1.67412	−	0.328235i
$400$	−936.053	−	1173.77i	−0.117007	−	0.146722i
$401$	3725.05	−	1149.03i	0.463891	−	0.143091i	−0.0539947	−	0.998541i	$-0.517195\pi$
$401$	3725.05	−	1149.03i	0.463891	−	0.143091i	0.517886	+	0.855450i	$0.326719\pi$
$402$	2019.83	+	5146.44i	0.250597	+	0.638510i
$403$	−2152.35	−	663.911i	−0.266045	−	0.0820640i
$404$	328.480	+	4383.27i	0.0404518	+	0.539791i
$405$	−1526.09	−	6686.22i	−0.187239	−	0.820348i
$406$	172.416	−	945.400i	0.0210760	−	0.115565i
$407$	3775.49	−	16541.5i	0.459813	−	2.01457i
$408$	−896.840	−	135.177i	−0.108824	−	0.0164026i
$409$	9386.49	−	6399.60i	1.13480	−	0.773692i	0.157912	−	0.987453i	$-0.449524\pi$
$409$	9386.49	−	6399.60i	1.13480	−	0.773692i	0.976886	+	0.213761i	$0.0685715\pi$
$410$	1580.65	−	2737.77i	0.190397	−	0.329778i
$411$	273.978	+	474.544i	0.0328816	+	0.0569526i
$412$	1109.55	+	534.329i	0.132678	+	0.0638944i
$413$	−791.087	−	83.8436i	−0.0942538	−	0.00998953i
$414$	−17797.2	+	8570.69i	−2.11277	+	1.01745i
$415$	−2082.37	−	1419.74i	−0.246312	−	0.167933i
$416$	315.376	+	292.626i	0.0371697	+	0.0344884i
$417$	−11401.3	−	10578.9i	−1.33891	−	1.24233i
$418$	8527.98	+	5814.28i	0.997888	+	0.680349i
$419$	−6214.46	+	2992.73i	−0.724573	+	0.348936i	−0.759547	−	0.650452i	$-0.774579\pi$
$419$	−6214.46	+	2992.73i	−0.724573	+	0.348936i	0.0349739	+	0.999388i	$0.488865\pi$
$420$	−2705.88	+	2741.89i	−0.314366	+	0.318549i
$421$	2388.12	+	1150.06i	0.276460	+	0.133136i	0.566977	−	0.823734i	$-0.308113\pi$
$421$	2388.12	+	1150.06i	0.276460	+	0.133136i	−0.290517	+	0.956870i	$0.593827\pi$
$422$	1222.68	+	2117.75i	0.141041	+	0.244290i
$423$	−16298.8	+	28230.4i	−1.87346	+	3.24494i
$424$	−576.098	+	392.777i	−0.0659853	+	0.0449880i
$425$	−1129.34	−	170.220i	−0.128896	−	0.0194280i
$426$	3686.38	−	16151.1i	0.419262	−	1.83691i
$427$	−11215.8	−	4805.43i	−1.27113	−	0.544616i
$428$	−77.4220	−	339.208i	−0.00874377	−	0.0383089i
$429$	−612.722	−	8176.20i	−0.0689568	−	0.920165i
$430$	2558.29	+	789.127i	0.286910	+	0.0885002i
$431$	−488.761	−	1245.34i	−0.0546236	−	0.139179i	0.900957	−	0.433908i	$-0.142866\pi$
$431$	−488.761	−	1245.34i	−0.0546236	−	0.139179i	−0.955581	+	0.294729i	$0.904771\pi$
$432$	−4664.84	+	1438.91i	−0.519530	+	0.160254i
$433$	−4891.89	−	6134.23i	−0.542931	−	0.680814i	0.432369	−	0.901697i	$-0.357678\pi$
$433$	−4891.89	−	6134.23i	−0.542931	−	0.680814i	−0.975300	+	0.220883i	$0.929106\pi$
$434$	−6004.60	−	1566.47i	−0.664125	−	0.173256i
$435$	−841.161	+	1054.78i	−0.0927140	+	0.116260i
$436$	−175.265	+	446.569i	−0.0192516	+	0.0490523i
$437$	−973.553	+	12991.2i	−0.106571	+	1.42209i
$438$	−18919.7	+	2851.68i	−2.06397	+	0.311093i
$439$	4749.60	−	4406.99i	0.516370	−	0.479121i	−0.378404	−	0.925640i	$-0.623527\pi$
$439$	4749.60	−	4406.99i	0.516370	−	0.479121i	0.894774	+	0.446519i	$0.147337\pi$
$440$	−2924.26			−0.316838
$441$	−16192.4	−	12566.5i	−1.74845	−	1.35693i
$442$	327.284			0.0352202
$443$	13150.7	−	12202.0i	1.41040	−	1.30866i	0.519493	−	0.854474i	$-0.326121\pi$
$443$	13150.7	−	12202.0i	1.41040	−	1.30866i	0.890907	−	0.454186i	$-0.150070\pi$
$444$	9546.93	−	1438.97i	1.02044	−	0.153807i
$445$	−156.739	+	2091.54i	−0.0166970	+	0.222806i
$446$	1636.05	−	4168.58i	0.173697	−	0.442573i
$447$	−8182.89	+	10261.0i	−0.865856	+	1.08575i
$448$	903.511	+	767.200i	0.0952832	+	0.0809080i
$449$	6175.90	+	7744.33i	0.649128	+	0.813981i	0.992111	−	0.125360i	$-0.0400087\pi$
$449$	6175.90	+	7744.33i	0.649128	+	0.813981i	−0.342983	+	0.939342i	$0.611437\pi$
$450$	−10716.0	+	3305.44i	−1.12257	+	0.346267i
$451$	6772.55	+	17256.2i	0.707111	+	1.80169i
$452$	−5486.93	−	1692.49i	−0.570981	−	0.176124i
$453$	−1304.52	−	17407.6i	−0.135302	−	1.80548i
$454$	2791.95	+	12232.3i	0.288618	+	1.26452i
$455$	818.060	−	1123.90i	0.0842884	−	0.115801i
$456$	−1306.93	+	5726.02i	−0.134216	+	0.588039i
$457$	−2991.57	−	450.907i	−0.306214	−	0.0461544i	−0.00586231	−	0.999983i	$-0.501866\pi$
$457$	−2991.57	−	450.907i	−0.306214	−	0.0461544i	−0.300352	+	0.953828i	$0.597104\pi$
$458$	240.373	−	163.884i	0.0245238	−	0.0167200i
$459$	−1856.84	+	3216.14i	−0.188823	+	0.327051i
$460$	−1845.48	−	3196.47i	−0.187057	−	0.323992i
$461$	515.656	+	248.327i	0.0520965	+	0.0250884i	0.459751	−	0.888048i	$-0.347939\pi$
$461$	515.656	+	248.327i	0.0520965	+	0.0250884i	−0.407654	+	0.913136i	$0.633653\pi$
$462$	−2677.47	−	22429.9i	−0.269626	−	2.25873i
$463$	−10311.9	+	4965.95i	−1.03506	+	0.498460i	−0.872693	−	0.488270i	$-0.837628\pi$
$463$	−10311.9	+	4965.95i	−1.03506	+	0.498460i	−0.162370	+	0.986730i	$0.551914\pi$
$464$	342.980	+	233.840i	0.0343156	+	0.0233960i
$465$	6386.24	+	5925.57i	0.636892	+	0.590950i
$466$	4756.78	+	4413.65i	0.472862	+	0.438752i
$467$	−8575.06	−	5846.38i	−0.849693	−	0.579311i	0.0582988	−	0.998299i	$-0.481432\pi$
$467$	−8575.06	−	5846.38i	−0.849693	−	0.579311i	−0.907992	+	0.418989i	$0.862385\pi$
$468$	2895.35	−	1394.33i	0.285978	−	0.137720i
$469$	−2954.97	−	4634.54i	−0.290934	−	0.456297i
$470$	−5487.74	−	2642.75i	−0.538575	−	0.259364i
$471$	11546.5	+	19999.2i	1.12959	+	1.95651i
$472$	171.816	−	297.593i	0.0167552	−	0.0290209i
$473$	−12971.1	+	8843.57i	−1.26092	+	0.859678i
$474$	14819.7	+	2233.71i	1.43606	+	0.216451i
$475$	−1645.74	+	7210.45i	−0.158972	+	0.696501i
$476$	900.819	−	39.6693i	0.0867415	−	0.00381983i
$477$	1158.93	+	5077.62i	0.111245	+	0.487397i
$478$	242.302	+	3233.30i	0.0231855	+	0.309389i
$479$	−7770.57	−	2396.90i	−0.741224	−	0.228637i	−0.0989286	−	0.995095i	$-0.531542\pi$
$479$	−7770.57	−	2396.90i	−0.741224	−	0.228637i	−0.642295	+	0.766457i	$0.722018\pi$
$480$	−607.932	−	1548.98i	−0.0578087	−	0.147294i
$481$	−3329.19	+	1026.92i	−0.315588	+	0.0973460i
$482$	−4454.85	−	5586.20i	−0.420981	−	0.527893i
$483$	22828.1	−	17082.1i	2.15055	−	1.60924i
$484$	7371.90	−	9244.07i	0.692327	−	0.868151i
$485$	2485.21	−	6332.21i	0.232675	−	0.592847i
$486$	−478.898	+	6390.45i	−0.0446980	+	0.596454i
$487$	−3840.58	+	578.874i	−0.357358	+	0.0538630i	−0.325268	−	0.945622i	$-0.605454\pi$
$487$	−3840.58	+	578.874i	−0.357358	+	0.0538630i	−0.0320900	+	0.999485i	$0.510216\pi$
$488$	3863.72	−	3585.00i	0.358406	−	0.332552i
$489$	−31341.6			−2.89840
$490$	2115.41	−	3192.59i	0.195029	−	0.294339i
$491$	−17574.1			−1.61529			−0.807646	−	0.589668i	$-0.799259\pi$
$491$	−17574.1			−1.61529			−0.807646	+	0.589668i	$0.799259\pi$
$492$	−7732.65	+	7174.85i	−0.708567	+	0.657454i
$493$	312.260	−	47.0657i	0.0285264	−	0.00429966i
$494$	158.383	−	2113.47i	0.0144251	−	0.192489i
$495$	−7980.17	+	20333.1i	−0.724610	+	1.84628i
$496$	1671.30	−	2095.74i	0.151297	−	0.189721i
$497$	−507.055	+	16462.2i	−0.0457636	+	1.48578i
$498$	5243.35	+	6574.95i	0.471807	+	0.591627i
$499$	−14565.3	+	4492.80i	−1.30668	+	0.403057i	−0.868437	−	0.495800i	$-0.834875\pi$
$499$	−14565.3	+	4492.80i	−1.30668	+	0.403057i	−0.438242	+	0.898857i	$0.644399\pi$
$500$	−1785.35	−	4549.00i	−0.159687	−	0.406875i
$501$	−21596.6	−	6661.68i	−1.92588	−	0.594056i
$502$	188.211	+	2511.50i	0.0167336	+	0.223294i
$503$	−1774.36	−	7774.00i	−0.157286	−	0.689116i	−0.990654	−	0.136397i	$-0.956448\pi$
$503$	−1774.36	−	7774.00i	−0.157286	−	0.689116i	0.833368	−	0.552719i	$-0.186410\pi$
$504$	7800.17	−	4188.69i	0.689379	−	0.370196i
$505$	−1365.15	+	5981.10i	−0.120294	+	0.527040i
$506$	21401.7	+	3225.79i	1.88028	+	0.283407i
$507$	15516.7	−	10579.1i	1.35922	−	0.926698i
$508$	−190.366	+	329.723i	−0.0166262	+	0.0287974i
$509$	9422.87	+	16320.9i	0.820553	+	1.42124i	0.905271	+	0.424835i	$0.139668\pi$
$509$	9422.87	+	16320.9i	0.820553	+	1.42124i	−0.0847178	+	0.996405i	$0.526999\pi$
$510$	−1140.51	−	549.238i	−0.0990244	−	0.0476876i
$511$	17912.7	−	6401.09i	1.55070	−	0.554144i
$512$	−461.296	+	222.148i	−0.0398176	+	0.0191751i
$513$	19870.0	+	13547.1i	1.71010	+	1.16593i
$514$	5931.63	+	5503.75i	0.509013	+	0.472295i
$515$	1259.98	+	1169.09i	0.107809	+	0.100032i
$516$	−7381.05	−	5032.31i	−0.629714	−	0.429332i
$517$	32179.6	−	15496.9i	2.73744	−	1.31828i
$518$	−9038.80	+	3230.02i	−0.766683	+	0.273974i
$519$	12153.4	+	5852.77i	1.02789	+	0.495006i
$520$	300.233	+	520.019i	0.0253194	+	0.0438545i
$521$	4706.15	−	8151.29i	0.395739	−	0.685440i	−0.597456	−	0.801902i	$-0.703822\pi$
$521$	4706.15	−	8151.29i	0.395739	−	0.685440i	0.993195	+	0.116461i	$0.0371551\pi$
$522$	2561.92	−	1746.69i	0.214813	−	0.146457i
$523$	1167.08	+	175.909i	0.0975772	+	0.0147074i	0.197649	−	0.980273i	$-0.436669\pi$
$523$	1167.08	+	175.909i	0.0975772	+	0.0147074i	−0.100072	+	0.994980i	$0.531907\pi$
$524$	1159.02	−	5077.99i	0.0966259	−	0.423346i
$525$	14260.3	−	7657.79i	1.18547	−	0.636597i
$526$	−2199.37	−	9636.05i	−0.182313	−	0.798768i
$527$	−152.388	−	2033.48i	−0.0125961	−	0.168083i
$528$	9324.11	+	2876.11i	0.768522	+	0.237058i
$529$	5535.32	+	14103.8i	0.454945	+	1.15918i
$530$	−929.927	+	286.845i	−0.0762141	+	0.0235089i
$531$	−1600.36	−	2006.79i	−0.130791	−	0.164006i
$532$	179.765	−	5836.33i	0.0146500	−	0.475634i
$533$	2373.32	−	2976.04i	0.192870	−	0.241851i
$534$	2556.87	−	6514.79i	0.207203	−	0.527945i
$535$	36.2897	−	484.252i	0.00293260	−	0.0391328i
$536$	2347.72	−	353.862i	0.189190	−	0.0285159i
$537$	−16346.7	+	15167.5i	−1.31362	+	1.21886i
$538$	−8013.55			−0.642173
$539$	6902.59	+	21370.6i	0.551606	+	1.70779i
$540$	−6813.45			−0.542971
$541$	−10949.5	+	10159.7i	−0.870162	+	0.807392i	−0.982497	−	0.186278i	$-0.940357\pi$
$541$	−10949.5	+	10159.7i	−0.870162	+	0.807392i	0.112335	+	0.993670i	$0.464167\pi$
$542$	−4271.02	+	643.752i	−0.338479	+	0.0510176i
$543$	2171.18	−	28972.4i	0.171592	−	2.28973i
$544$	−142.298	+	362.570i	−0.0112151	+	0.0285755i
$545$	−417.467	+	523.487i	−0.0328116	+	0.0411444i
$546$	−3713.80	+	2779.01i	−0.291092	+	0.217822i
$547$	−5775.62	−	7242.40i	−0.451458	−	0.566111i	0.503064	−	0.864249i	$-0.332206\pi$
$547$	−5775.62	−	7242.40i	−0.451458	−	0.566111i	−0.954523	+	0.298138i	$0.903634\pi$
$548$	224.863	−	69.3610i	0.0175286	−	0.00540685i
$549$	−14383.5	−	36648.7i	−1.11817	−	2.84905i
$550$	11741.3	+	3621.71i	0.910275	+	0.280783i
$551$	−152.819	−	2039.23i	−0.0118155	−	0.157666i
$552$	2740.55	+	12007.1i	0.211314	+	0.925829i
$553$	−14885.5	+	655.511i	−1.14466	+	0.0504071i
$554$	328.812	−	1440.62i	0.0252164	−	0.110480i
$555$	13324.7	+	2008.38i	1.01911	+	0.153605i
$556$	−5518.67	+	3762.56i	−0.420942	+	0.286993i
$557$	5631.05	−	9753.27i	0.428358	−	0.741938i	−0.568369	−	0.822773i	$-0.692426\pi$
$557$	5631.05	−	9753.27i	0.428358	−	0.741938i	0.996727	+	0.0808357i	$0.0257589\pi$
$558$	−10011.3	−	17340.1i	−0.759522	−	1.31553i
$559$	2904.39	+	1398.68i	0.219754	+	0.105828i
$560$	889.393	+	1394.91i	0.0671138	+	0.105260i
$561$	6687.82	−	3220.68i	0.503315	−	0.242384i
$562$	−10373.9	−	7072.83i	−0.778645	−	0.530871i
$563$	335.943	+	311.709i	0.0251480	+	0.0233339i	0.692647	−	0.721277i	$-0.256445\pi$
$563$	335.943	+	311.709i	0.0251480	+	0.0233339i	−0.667499	+	0.744611i	$0.732635\pi$
$564$	14898.6	+	13823.9i	1.11231	+	1.03207i
$565$	−6621.65	−	4514.56i	−0.493053	−	0.336158i
$566$	−1134.44	+	546.316i	−0.0842473	+	0.0405714i
$567$	−2696.65	−	22590.6i	−0.199733	−	1.67322i
$568$	−6409.84	−	3086.82i	−0.473505	−	0.228028i
$569$	4861.26	+	8419.95i	0.358163	+	0.620356i	0.987654	−	0.156652i	$-0.0500700\pi$
$569$	4861.26	+	8419.95i	0.358163	+	0.620356i	−0.629491	+	0.777008i	$0.716737\pi$
$570$	−4098.69	+	7099.14i	−0.301185	+	0.521667i
$571$	−18275.0	+	12459.7i	−1.33938	+	0.913173i	−0.999626	−	0.0273422i	$-0.991296\pi$
$571$	−18275.0	+	12459.7i	−1.33938	+	0.913173i	−0.339752	+	0.940515i	$0.610343\pi$
$572$	−3481.75	−	524.790i	−0.254509	−	0.0383611i
$573$	−6118.10	+	26805.2i	−0.446051	+	1.95428i
$574$	6171.60	−	8478.94i	0.448777	−	0.616558i
$575$	3451.02	+	15119.9i	0.250291	+	1.09660i
$576$	285.800	+	3813.74i	0.0206742	+	0.275878i
$577$	−5356.64	−	1652.30i	−0.386481	−	0.119214i	0.0954246	−	0.995437i	$-0.469579\pi$
$577$	−5356.64	−	1652.30i	−0.386481	−	0.119214i	−0.481906	+	0.876223i	$0.660055\pi$
$578$	−3481.59	−	8870.95i	−0.250545	−	0.638378i
$579$	−38263.7	+	11802.8i	−2.74644	+	0.847163i
$580$	361.233	+	452.972i	0.0258610	+	0.0324287i
$581$	−6373.10	−	5411.60i	−0.455079	−	0.386422i
$582$	−14152.1	+	17746.2i	−1.00794	+	1.26392i
$583$	2084.83	−	5312.06i	0.148104	−	0.377364i
$584$	−614.038	+	8193.77i	−0.0435087	+	0.580583i
$585$	4435.15	−	668.491i	0.313454	−	0.0472456i
$586$	−609.938	+	565.940i	−0.0429971	+	0.0398955i
$587$	17654.6			1.24137			0.620684	−	0.784061i	$-0.286855\pi$
$587$	17654.6			1.24137			0.620684	+	0.784061i	$0.286855\pi$
$588$	−9885.05	+	8099.10i	−0.693287	+	0.568029i
$589$	−13205.2			−0.923784
$590$	351.578	−	326.217i	0.0245326	−	0.0227629i
$591$	39163.4	−	5902.94i	2.72584	−	0.410854i
$592$	309.846	−	4134.61i	0.0215111	−	0.287046i
$593$	1413.87	−	3602.48i	0.0979101	−	0.249471i	−0.873524	−	0.486782i	$-0.838171\pi$
$593$	1413.87	−	3602.48i	0.0979101	−	0.249471i	0.971434	+	0.237311i	$0.0762660\pi$
$594$	24910.6	−	31236.9i	1.72070	−	2.15768i
$595$	1217.74	+	317.683i	0.0839035	+	0.0218886i
$596$	3514.11	+	4406.55i	0.241516	+	0.302851i
$597$	−867.047	+	267.449i	−0.0594403	+	0.0183349i
$598$	−1623.67	−	4137.04i	−0.111031	−	0.282904i
$599$	−7566.32	−	2333.90i	−0.516113	−	0.159200i	0.0257473	−	0.999668i	$-0.491803\pi$
$599$	−7566.32	−	2333.90i	−0.516113	−	0.159200i	−0.541860	+	0.840469i	$0.682280\pi$
$600$	522.502	+	6972.31i	0.0355518	+	0.474405i
$601$	529.435	+	2319.61i	0.0359336	+	0.157436i	0.989712	−	0.143077i	$-0.0456995\pi$
$601$	529.435	+	2319.61i	0.0359336	+	0.157436i	−0.953778	+	0.300512i	$0.902842\pi$
$602$	8163.58	+	3497.70i	0.552696	+	0.236803i
$603$	3946.32	−	17289.9i	0.266512	−	1.16766i
$604$	−7412.85	−	1117.31i	−0.499379	−	0.0752692i
$605$	13634.8	−	9296.08i	0.916257	−	0.624693i
$606$	10235.4	−	17728.3i	0.686115	−	1.18839i
$607$	11368.0	+	19689.9i	0.760152	+	1.31662i	0.942772	+	0.333439i	$0.108209\pi$
$607$	11368.0	+	19689.9i	0.760152	+	1.31662i	−0.182619	+	0.983184i	$0.558458\pi$
$608$	2272.47	+	1094.37i	0.151580	+	0.0729973i
$609$	−3143.68	+	3185.51i	−0.209176	+	0.211959i
$610$	6627.88	−	3191.82i	0.439926	−	0.211857i
$611$	−6059.67	−	4131.41i	−0.401224	−	0.273550i
$612$	2132.72	+	1978.87i	0.140866	+	0.130704i
$613$	7261.90	+	6738.06i	0.478475	+	0.443960i	0.882168	−	0.470934i	$-0.156083\pi$
$613$	7261.90	+	6738.06i	0.478475	+	0.443960i	−0.403693	+	0.914895i	$0.632274\pi$
$614$	8027.77	+	5473.24i	0.527646	+	0.359743i
$615$	−13264.7	+	6387.95i	−0.869732	+	0.418841i
$616$	−9646.80	−	1022.42i	−0.630975	−	0.0668741i
$617$	1337.39	+	644.052i	0.0872629	+	0.0420236i	0.477006	−	0.878900i	$-0.341722\pi$
$617$	1337.39	+	644.052i	0.0872629	+	0.0420236i	−0.389743	+	0.920924i	$0.627436\pi$
$618$	−2867.65	−	4966.92i	−0.186657	−	0.323299i
$619$	4526.08	−	7839.40i	0.293891	−	0.509034i	−0.680835	−	0.732437i	$-0.738383\pi$
$619$	4526.08	−	7839.40i	0.293891	−	0.509034i	0.974726	+	0.223402i	$0.0717164\pi$
$620$	3091.18	−	2107.53i	0.200234	−	0.136517i
$621$	49865.5	+	7516.01i	3.22227	+	0.485680i
$622$	−2781.21	+	12185.3i	−0.179287	+	0.785507i
$623$	−1248.34	+	6844.95i	−0.0802786	+	0.440188i
$624$	−445.848	−	1953.39i	−0.0286029	−	0.125317i
$625$	366.808	+	4894.71i	0.0234757	+	0.313262i
$626$	−10591.2	−	3266.95i	−0.676213	−	0.208584i
$627$	−17561.5	−	44745.9i	−1.11856	−	2.85005i
$628$	9476.64	−	2923.16i	0.602164	−	0.185743i
$629$	−1966.58	−	2466.01i	−0.124662	−	0.156321i
$630$	12126.3	−	2377.53i	0.766862	−	0.150354i
$631$	−10644.5	+	13347.8i	−0.671555	+	0.842104i	−0.994546	−	0.104298i	$-0.966740\pi$
$631$	−10644.5	+	13347.8i	−0.671555	+	0.842104i	0.322991	+	0.946402i	$0.395312\pi$
$632$	2351.39	−	5991.25i	0.147996	−	0.377087i
$633$	851.062	−	11356.6i	0.0534387	−	0.713089i
$634$	3302.24	−	497.733i	0.206859	−	0.0311790i
$635$	−389.536	+	361.437i	−0.0243437	+	0.0225877i
$636$	3247.22			0.202454
$637$	3091.64	−	3421.60i	0.192300	−	0.212824i
$638$	−3397.39			−0.210821
$639$	−38955.5	+	36145.5i	−2.41167	+	2.23770i
$640$	−706.621	+	106.506i	−0.0436432	+	0.00657815i
$641$	−1399.84	+	18679.6i	−0.0862567	+	1.15102i	0.771246	+	0.636537i	$0.219634\pi$
$641$	−1399.84	+	18679.6i	−0.0862567	+	1.15102i	−0.857503	+	0.514479i	$0.827985\pi$
$642$	−591.989	+	1508.36i	−0.0363924	+	0.0927264i
$643$	10270.9	−	12879.3i	0.629929	−	0.789906i	−0.359774	−	0.933039i	$-0.617146\pi$
$643$	10270.9	−	12879.3i	0.629929	−	0.789906i	0.989703	+	0.143133i	$0.0457178\pi$
$644$	−4970.44	−	11190.0i	−0.304135	−	0.684703i
$645$	−7773.85	−	9748.10i	−0.474566	−	0.595087i
$646$	1833.51	−	565.564i	0.111670	−	0.0344455i
$647$	−2640.76	−	6728.56i	−0.160462	−	0.408852i	0.827919	−	0.560848i	$-0.189525\pi$
$647$	−2640.76	−	6728.56i	−0.160462	−	0.408852i	−0.988381	+	0.151997i	$0.951430\pi$
$648$	9390.90	+	2896.71i	0.569304	+	0.175607i
$649$	210.170	+	2804.52i	0.0127117	+	0.169626i
$650$	−561.430	−	2459.79i	−0.0338786	−	0.148432i
$651$	18995.7	+	21780.6i	1.14362	+	1.31129i
$652$	−2995.03	+	13122.1i	−0.179899	+	0.788190i
$653$	2080.41	+	313.571i	0.124675	+	0.0187917i	0.211083	−	0.977468i	$-0.432301\pi$
$653$	2080.41	+	313.571i	0.124675	+	0.0187917i	−0.0864083	+	0.996260i	$0.527539\pi$
$654$	1845.97	−	1258.56i	0.110372	−	0.0752503i
$655$	3634.83	−	6295.71i	0.216832	−	0.375563i
$656$	2265.02	+	3923.13i	0.134808	+	0.233495i
$657$	55297.7	+	26629.9i	3.28366	+	1.58133i
$658$	−17179.4	−	10636.8i	−1.01782	−	0.630193i
$659$	1519.67	−	731.833i	0.0898298	−	0.0432597i	−0.388429	−	0.921479i	$-0.626982\pi$
$659$	1519.67	−	731.833i	0.0898298	−	0.0432597i	0.478259	+	0.878219i	$0.341268\pi$
$660$	11252.4	+	7671.73i	0.663633	+	0.452457i
$661$	−18486.7	−	17153.2i	−1.08782	−	1.00935i	−0.999913	−	0.0132232i	$-0.995791\pi$
$661$	−18486.7	−	17153.2i	−1.08782	−	1.00935i	−0.0879098	−	0.996128i	$-0.528019\pi$
$662$	5824.37	+	5404.23i	0.341950	+	0.317283i
$663$	−1259.37	−	858.623i	−0.0737704	−	0.0502958i
$664$	3253.85	−	1566.97i	0.190171	−	0.0915817i
$665$	2640.78	−	7709.97i	0.153992	−	0.449594i
$666$	−27903.4	−	13437.6i	−1.62348	−	0.781825i
$667$	−2144.07	−	3713.64i	−0.124466	−	0.215581i
$668$	−4852.89	+	8405.46i	−0.281084	+	0.486852i
$669$	−17231.5	+	11748.3i	−0.995829	+	0.678945i
$670$	3276.73	+	493.888i	0.188942	+	0.0284784i
$671$	−9598.94	+	42055.7i	−0.552255	+	2.41959i
$672$	−1463.92	−	5322.47i	−0.0840355	−	0.305534i
$673$	−7430.64	−	32555.8i	−0.425602	−	1.86468i	−0.497797	−	0.867294i	$-0.665857\pi$
$673$	−7430.64	−	32555.8i	−0.425602	−	1.86468i	0.0721946	−	0.997391i	$-0.477000\pi$
$674$	−1083.89	−	14463.5i	−0.0619436	−	0.826579i
$675$	27356.9	+	8438.49i	1.55995	+	0.481182i
$676$	−2946.47	−	7507.48i	−0.167642	−	0.427144i
$677$	3728.01	−	1149.94i	0.211638	−	0.0652818i	−0.187123	−	0.982336i	$-0.559916\pi$
$677$	3728.01	−	1149.94i	0.211638	−	0.0652818i	0.398761	+	0.917055i	$0.369440\pi$
$678$	16673.1	+	20907.4i	0.944435	+	1.18428i
$679$	10412.4	−	20020.3i	0.588498	−	1.13153i
$680$	−338.942	+	425.020i	−0.0191144	+	0.0239688i
$681$	21348.0	−	54393.8i	1.20126	−	3.06075i
$682$	−1639.46	+	21877.1i	−0.0920503	+	1.22833i
$683$	1590.58	−	239.741i	0.0891094	−	0.0134311i	−0.104336	−	0.994542i	$-0.533272\pi$
$683$	1590.58	−	239.741i	0.0891094	−	0.0134311i	0.193446	+	0.981111i	$0.438034\pi$
$684$	13810.9	−	12814.6i	0.772034	−	0.716343i
$685$	328.434			0.0183195
$686$	8094.71	−	9792.35i	0.450521	−	0.545005i
$687$	−1354.88			−0.0752431
$688$	−2812.26	+	2609.40i	−0.155838	+	0.144596i
$689$	−1158.69	+	174.644i	−0.0640675	+	0.00965662i
$690$	−1284.57	+	17141.4i	−0.0708734	+	0.945740i
$691$	9880.50	−	25175.1i	0.543954	−	1.38597i	−0.349551	−	0.936917i	$-0.613666\pi$
$691$	9880.50	−	25175.1i	0.543954	−	1.38597i	0.893505	−	0.449054i	$-0.148239\pi$
$692$	3611.82	−	4529.07i	0.198411	−	0.248800i
$693$	−33434.8	+	64286.5i	−1.83273	+	3.52387i
$694$	2433.32	+	3051.28i	0.133094	+	0.166895i
$695$	−8908.14	+	2747.80i	−0.486194	+	0.149971i
$696$	−706.291	−	1799.60i	−0.0384654	−	0.0980081i
$697$	3293.04	+	1015.77i	0.178957	+	0.0552008i
$698$	166.732	+	2224.88i	0.00904138	+	0.120649i
$699$	−6724.67	−	29462.7i	−0.363878	−	1.59425i
$700$	−1843.43	−	6702.28i	−0.0995357	−	0.361889i
$701$	−4550.35	+	19936.4i	−0.245170	+	1.07416i	0.691067	+	0.722791i	$0.257141\pi$
$701$	−4550.35	+	19936.4i	−0.245170	+	1.07416i	−0.936237	+	0.351370i	$0.885716\pi$
$702$	−8112.39	−	1222.75i	−0.436157	−	0.0657401i
$703$	−16876.2	+	11506.0i	−0.905403	+	0.617293i
$704$	2095.18	−	3628.96i	0.112166	−	0.194278i
$705$	14183.2	+	24566.1i	0.757690	+	1.31236i
$706$	16770.9	+	8076.44i	0.894024	+	0.430539i
$707$	−6594.65	+	19253.6i	−0.350803	+	1.02420i
$708$	−1441.86	+	694.365i	−0.0765375	+	0.0368585i
$709$	−12917.6	−	8807.05i	−0.684245	−	0.466510i	0.170636	−	0.985334i	$-0.445418\pi$
$709$	−12917.6	−	8807.05i	−0.684245	−	0.466510i	−0.854881	+	0.518824i	$0.826370\pi$
$710$	−7278.92	−	6753.85i	−0.384751	−	0.356996i
$711$	−35241.8	−	32699.6i	−1.85889	−	1.72480i
$712$	−2483.27	−	1693.06i	−0.130708	−	0.0891155i
$713$	−24948.2	+	12014.4i	−1.31040	+	0.631057i
$714$	−3570.36	−	2210.63i	−0.187139	−	0.115869i
$715$	−4427.72	−	2132.28i	−0.231591	−	0.111528i
$716$	4788.22	+	8293.44i	0.249922	+	0.432878i
$717$	7550.12	−	13077.2i	0.393256	−	0.681139i
$718$	10812.8	−	7372.02i	0.562018	−	0.383178i
$719$	−28642.7	−	4317.20i	−1.48567	−	0.223928i	−0.644458	−	0.764640i	$-0.722917\pi$
$719$	−28642.7	−	4317.20i	−1.48567	−	0.223928i	−0.841208	+	0.540712i	$0.818155\pi$
$720$	−1187.77	+	5203.96i	−0.0614800	+	0.269361i
$721$	3747.78	+	4297.23i	0.193585	+	0.221966i
$722$	287.647	+	1260.26i	0.0148270	+	0.0649613i
$723$	2486.68	+	33182.5i	0.127913	+	1.70687i
$724$	−11922.6	−	3677.65i	−0.612018	−	0.188783i
$725$	−889.391	−	2266.13i	−0.0455602	−	0.116086i
$726$	−52618.1	+	16230.5i	−2.68987	+	0.829714i
$727$	5482.69	+	6875.08i	0.279700	+	0.350732i	0.901760	−	0.432237i	$-0.142276\pi$
$727$	5482.69	+	6875.08i	0.279700	+	0.350732i	−0.622060	+	0.782969i	$0.713704\pi$
$728$	808.618	+	1820.45i	0.0411667	+	0.0926793i
$729$	−2071.87	+	2598.04i	−0.105262	+	0.131994i
$730$	−4189.80	+	10675.4i	−0.212426	+	0.541254i
$731$	−218.096	+	2910.29i	−0.0110350	+	0.147252i
$732$	−24272.5	+	3658.49i	−1.22560	+	0.184729i
$733$	−8441.70	+	7832.76i	−0.425377	+	0.394692i	−0.863603	−	0.504173i	$-0.831798\pi$
$733$	−8441.70	+	7832.76i	−0.425377	+	0.394692i	0.438226	+	0.898865i	$0.355607\pi$
$734$	−5248.33			−0.263923
$735$	−16515.6	+	6735.14i	−0.828826	+	0.337999i
$736$	5289.02			0.264886
$737$	−14244.3	+	13216.8i	−0.711933	+	0.660578i
$738$	33459.6	−	5043.23i	1.66892	−	0.251550i
$739$	−196.672	+	2624.41i	−0.00978987	+	0.130637i	−0.999957	−	0.00925125i	$-0.997055\pi$
$739$	−196.672	+	2624.41i	−0.00978987	+	0.130637i	0.990167	+	0.139888i	$0.0446742\pi$
$740$	2114.19	−	5386.86i	0.105026	−	0.267601i
$741$	−6154.09	+	7716.99i	−0.305096	+	0.382579i
$742$	−3168.01	+	621.133i	−0.156740	+	0.0307311i
$743$	4361.18	+	5468.75i	0.215338	+	0.270025i	0.877755	−	0.479110i	$-0.159041\pi$
$743$	4361.18	+	5468.75i	0.215338	+	0.270025i	−0.662417	+	0.749136i	$0.730469\pi$
$744$	−11929.2	+	3679.66i	−0.587828	+	0.181321i
$745$	2873.95	+	7322.70i	0.141333	+	0.360111i
$746$	−6388.39	−	1970.56i	−0.313533	−	0.0967121i
$747$	−2015.95	−	26901.0i	−0.0987414	−	1.31761i
$748$	−709.339	−	3107.82i	−0.0346738	−	0.151916i
$749$	289.026	−	1584.80i	0.0140999	−	0.0773130i
$750$	−5064.28	+	22188.1i	−0.246562	+	1.08026i
$751$	30470.1	+	4592.64i	1.48052	+	0.223153i	0.839075	−	0.544016i	$-0.183097\pi$
$751$	30470.1	+	4592.64i	1.48052	+	0.223153i	0.641446	+	0.767168i	$0.278335\pi$
$752$	7211.48	−	4916.70i	0.349702	−	0.238423i
$753$	5864.63	−	10157.8i	0.283823	−	0.491597i
$754$	348.809	+	604.155i	0.0168473	+	0.0291804i
$755$	−9426.87	−	4539.74i	−0.454409	−	0.218832i
$756$	−22476.8	−	2382.21i	−1.08131	−	0.114603i
$757$	26491.7	−	12757.7i	1.27194	−	0.612534i	0.328633	−	0.944458i	$-0.393412\pi$
$757$	26491.7	−	12757.7i	1.27194	−	0.612534i	0.943306	+	0.331924i	$0.107698\pi$
$758$	−10.1026	−	6.88786i	−0.000484095	−	0.000330050i
$759$	−73889.6	−	68559.5i	−3.53363	−	3.27873i
$760$	2580.59	+	2394.43i	0.123168	+	0.114283i
$761$	1239.76	+	845.256i	0.0590556	+	0.0402635i	0.592488	−	0.805579i	$-0.298146\pi$
$761$	1239.76	+	845.256i	0.0590556	+	0.0402635i	−0.533432	+	0.845843i	$0.679098\pi$
$762$	1597.53	−	769.332i	0.0759482	−	0.0365747i
$763$	−1560.20	+	1580.96i	−0.0740277	+	0.0750126i
$764$	10638.1	+	5123.04i	0.503760	+	0.242598i
$765$	2030.31	+	3516.60i	0.0959557	+	0.166200i
$766$	−594.896	+	1030.39i	−0.0280606	+	0.0486025i
$767$	477.147	−	325.313i	0.0224626	−	0.0153147i
$768$	2357.84	+	355.387i	0.110783	+	0.0166978i
$769$	8588.00	−	37626.5i	0.402719	−	1.76443i	−0.213589	−	0.976924i	$-0.568515\pi$
$769$	8588.00	−	37626.5i	0.402719	−	1.76443i	0.616308	−	0.787505i	$-0.288627\pi$
$770$	−12445.3	−	5332.22i	−0.582466	−	0.249558i
$771$	−8385.55	−	36739.5i	−0.391697	−	1.71614i
$772$	1285.07	+	17148.1i	0.0599103	+	0.799447i
$773$	33478.4	+	10326.7i	1.55774	+	0.480499i	0.949635	−	0.313358i	$-0.101454\pi$
$773$	33478.4	+	10326.7i	1.55774	+	0.480499i	0.608105	+	0.793857i	$0.291930\pi$
$774$	10469.3	+	26675.3i	0.486189	+	1.23879i
$775$	−15021.7	+	4633.58i	−0.696252	+	0.214765i
$776$	6077.56	+	7621.02i	0.281149	+	0.352550i
$777$	43254.5	+	11284.2i	1.99710	+	0.521001i
$778$	−14672.7	+	18399.0i	−0.676148	+	0.847862i
$779$	8153.04	−	20773.6i	0.374984	−	0.955445i
$780$	208.981	−	2788.65i	0.00959321	−	0.128013i
$781$	57576.0	−	8678.18i	2.63794	−	0.397605i
$782$	2949.45	−	2736.69i	0.134875	−	0.125146i
$783$	−7915.82			−0.361288
$784$	2446.30	+	4912.61i	0.111438	+	0.223789i
$785$	13841.6			0.629333
$786$	−17781.8	+	16499.1i	−0.806942	+	0.748733i
$787$	25101.1	−	3783.39i	1.13692	−	0.171364i	0.446510	−	0.894779i	$-0.352667\pi$
$787$	25101.1	−	3783.39i	1.13692	−	0.171364i	0.690413	+	0.723415i	$0.257429\pi$
$788$	1271.05	−	16961.0i	0.0574610	−	0.766764i
$789$	−16816.9	+	42848.8i	−0.758807	+	1.93341i
$790$	5600.81	−	7023.19i	0.252238	−	0.316296i
$791$	−20265.6	−	17208.2i	−0.910950	−	0.773517i
$792$	−19515.4	−	24471.6i	−0.875569	−	1.09793i
$793$	8464.25	−	2610.88i	0.379034	−	0.116917i
$794$	−2251.17	−	5735.88i	−0.100618	−	0.256371i
$795$	4330.82	+	1335.88i	0.193206	+	0.0595961i
$796$	29.1194	+	388.572i	0.00129662	+	0.0173022i
$797$	1855.39	+	8128.99i	0.0824608	+	0.361284i	0.999277	−	0.0380257i	$-0.0121069\pi$
$797$	1855.39	+	8128.99i	0.0824608	+	0.361284i	−0.916816	+	0.399310i	$0.869250\pi$
$798$	−16003.2	+	21986.2i	−0.709909	+	0.975317i
$799$	1477.48	−	6473.25i	0.0654185	−	0.286617i
$800$	2969.09	+	447.518i	0.131216	+	0.0197777i
$801$	−18549.0	+	12646.5i	−0.818224	+	0.557855i
$802$	−3898.24	+	6751.95i	−0.171636	+	0.297281i
$803$	−33624.2	−	58238.8i	−1.47767	−	2.55940i
$804$	−9962.21	−	4797.55i	−0.436990	−	0.210443i
$805$	−2025.59	−	16968.9i	−0.0886865	−	0.742952i
$806$	4058.71	−	1954.57i	0.177372	−	0.0854180i
$807$	30835.6	+	21023.4i	1.34506	+	0.917047i
$808$	−6444.34	−	5979.48i	−0.280583	−	0.260343i
$809$	21802.8	+	20230.1i	0.947523	+	0.879173i	0.992798	−	0.119802i	$-0.0382259\pi$
$809$	21802.8	+	20230.1i	0.947523	+	0.879173i	−0.0452748	+	0.998975i	$0.514416\pi$
$810$	11333.0	+	7726.68i	0.491605	+	0.335170i
$811$	32339.8	−	15574.0i	1.40025	−	0.674325i	0.427038	−	0.904234i	$-0.359557\pi$
$811$	32339.8	−	15574.0i	1.40025	−	0.674325i	0.973212	+	0.229909i	$0.0738428\pi$
$812$	1033.29	+	1620.60i	0.0446569	+	0.0700393i
$813$	18123.4	+	8727.79i	0.781817	+	0.376503i
$814$	16966.9	+	29387.5i	0.730576	+	1.26539i
$815$	−9392.79	+	16268.8i	−0.403700	+	0.699228i
$816$	1498.75	−	1021.83i	0.0642974	−	0.0438372i
$817$	18687.9	+	2816.76i	0.800255	+	0.120619i
$818$	−5055.90	+	22151.4i	−0.216107	+	0.946826i
$819$	14864.8	−	654.598i	0.634208	−	0.0279286i
$820$	1406.91	+	6164.09i	0.0599165	+	0.262511i
$821$	−3511.43	−	46856.8i	−0.149269	−	1.99186i	−0.125048	−	0.992151i	$-0.539909\pi$
$821$	−3511.43	−	46856.8i	−0.149269	−	1.99186i	−0.0242208	−	0.999707i	$-0.507710\pi$
$822$	−1047.22	−	323.026i	−0.0444357	−	0.0137066i
$823$	4527.68	+	11536.3i	0.191768	+	0.488617i	0.994126	−	0.108226i	$-0.0345169\pi$
$823$	4527.68	+	11536.3i	0.191768	+	0.488617i	−0.802358	+	0.596843i	$0.796422\pi$
$824$	−2353.58	+	725.983i	−0.0995034	+	0.0306927i
$825$	−35678.3	−	44739.1i	−1.50565	−	1.88802i
$826$	1273.87	−	953.228i	0.0536606	−	0.0401538i
$827$	6324.77	−	7931.01i	0.265942	−	0.333480i	−0.630874	−	0.775886i	$-0.717303\pi$
$827$	6324.77	−	7931.01i	0.265942	−	0.333480i	0.896815	+	0.442405i	$0.145875\pi$
$828$	14433.5	−	36775.9i	0.605794	−	1.54354i
$829$	−1276.42	+	17032.6i	−0.0534763	+	0.713591i	0.904450	+	0.426579i	$0.140281\pi$
$829$	−1276.42	+	17032.6i	−0.0534763	+	0.713591i	−0.957927	+	0.287013i	$0.907338\pi$
$830$	4984.30	−	751.262i	0.208443	−	0.0314177i
$831$	−5044.68	+	4680.78i	−0.210587	+	0.195396i
$832$	−860.447			−0.0358541
$833$	3906.12	+	1473.76i	0.162472	+	0.0612999i
$834$	31106.4			1.29152
$835$	−9930.25	+	9213.92i	−0.411557	+	0.381869i
$836$	−20412.3	+	3076.66i	−0.844468	+	0.127283i
$837$	−3819.91	+	50973.1i	−0.157748	+	2.10500i
$838$	5039.90	−	12841.5i	0.207757	−	0.529357i
$839$	22129.6	−	27749.7i	0.910608	−	1.14187i	−0.0788273	−	0.996888i	$-0.525118\pi$
$839$	22129.6	−	27749.7i	0.910608	−	1.14187i	0.989435	−	0.144978i	$-0.0463110\pi$
$840$	237.194	−	7700.83i	0.00974282	−	0.316314i
$841$	−14786.6	−	18541.8i	−0.606282	−	0.760254i
$842$	−5065.70	+	1562.56i	−0.207334	+	0.0639542i
$843$	21362.8	+	54431.5i	0.872804	+	2.22387i
$844$	−4673.45	−	1441.57i	−0.190600	−	0.0587925i
$845$	−841.189	−	11224.9i	−0.0342459	−	0.456980i
$846$	−14507.3	−	63560.7i	−0.589564	−	2.58305i
$847$	48230.0	−	25899.5i	1.95655	−	1.05067i
$848$	310.307	−	1359.54i	0.0125660	−	0.0550553i
$849$	5798.48	+	873.981i	0.234398	+	0.0353297i
$850$	1887.29	−	1286.73i	0.0761569	−	0.0519229i
$851$	−21415.4	+	37092.5i	−0.862643	+	1.49414i
$852$	16566.4	+	28693.9i	0.666147	+	1.15380i
$853$	−13087.0	−	6302.35i	−0.525309	−	0.252976i	0.152383	−	0.988322i	$-0.451305\pi$
$853$	−13087.0	−	6302.35i	−0.525309	−	0.252976i	−0.677692	+	0.735346i	$0.737020\pi$
$854$	22980.6	−	8212.11i	0.920819	−	0.329055i
$855$	23691.4	−	11409.2i	0.947635	−	0.456357i
$856$	574.948	+	391.993i	0.0229572	+	0.0156519i
$857$	−6898.02	−	6400.42i	−0.274950	−	0.255116i	0.530630	−	0.847604i	$-0.321955\pi$
$857$	−6898.02	−	6400.42i	−0.274950	−	0.255116i	−0.805579	+	0.592488i	$0.798146\pi$
$858$	12020.8	+	11153.6i	0.478301	+	0.443799i
$859$	−13950.5	−	9511.30i	−0.554116	−	0.377790i	0.253648	−	0.967297i	$-0.418370\pi$
$859$	−13950.5	−	9511.30i	−0.554116	−	0.377790i	−0.807763	+	0.589507i	$0.799322\pi$
$860$	−4824.20	+	2323.21i	−0.191283	+	0.0921173i
$861$	−45992.2	+	16435.3i	−1.82045	+	0.650539i
$862$	2410.67	+	1160.92i	0.0952526	+	0.0458712i
$863$	23686.7	+	41026.6i	0.934305	+	1.61826i	0.775869	+	0.630894i	$0.217312\pi$
$863$	23686.7	+	41026.6i	0.934305	+	1.61826i	0.158436	+	0.987369i	$0.449355\pi$
$864$	4881.72	−	8455.38i	0.192222	−	0.332937i
$865$	6680.31	−	4554.56i	0.262586	−	0.179028i
$866$	15516.7	+	2338.77i	0.608867	+	0.0917719i
$867$	−9875.79	+	43268.7i	−0.386850	+	1.69490i
$868$	10934.3	−	5871.72i	0.427575	−	0.229607i
$869$	11721.4	+	51354.8i	0.457562	+	2.00471i
$870$	−201.639	−	2690.69i	−0.00785772	−	0.104854i
$871$	3812.78	+	1176.09i	0.148325	+	0.0457523i
$872$	−350.531	−	893.138i	−0.0136129	−	0.0346852i
$873$	69576.2	−	21461.4i	2.69736	−	0.832026i
$874$	−16245.1	−	20370.8i	−0.628719	−	0.788388i
$875$	696.583	−	22615.5i	0.0269129	−	0.873765i
$876$	23858.9	−	29918.1i	0.920226	−	1.15393i
$877$	10042.5	−	25587.8i	0.386671	−	0.985221i	−0.596513	−	0.802603i	$-0.703448\pi$
$877$	10042.5	−	25587.8i	0.386671	−	0.985221i	0.983184	−	0.182618i	$-0.0584571\pi$
$878$	−968.385	+	12922.2i	−0.0372226	+	0.496701i
$879$	3831.73	−	577.540i	0.147032	−	0.0221615i
$880$	4287.27	−	3978.01i	0.164232	−	0.152385i
$881$	12532.7			0.479269			0.239634	−	0.970863i	$-0.422972\pi$
$881$	12532.7			0.479269			0.239634	+	0.970863i	$0.422972\pi$
$882$	40834.5	−	3603.43i	1.55892	−	0.137567i
$883$	−1302.93			−0.0496569			−0.0248285	−	0.999692i	$-0.507904\pi$
$883$	−1302.93			−0.0496569			−0.0248285	+	0.999692i	$0.507904\pi$
$884$	−479.833	+	445.220i	−0.0182563	+	0.0169393i
$885$	−2208.67	+	332.903i	−0.0838911	+	0.0126445i
$886$	−2681.26	+	35778.9i	−0.101669	+	1.35668i
$887$	−10729.0	+	27336.9i	−0.406136	+	1.03482i	0.570762	+	0.821115i	$0.306648\pi$
$887$	−10729.0	+	27336.9i	−0.406136	+	1.03482i	−0.976899	+	0.213703i	$0.931447\pi$
$888$	−12039.3	+	15096.8i	−0.454969	+	0.570513i
$889$	−1411.40	+	1056.14i	−0.0532475	+	0.0398447i
$890$	−2615.42	−	3279.64i	−0.0985047	−	0.123521i
$891$	−76858.0	+	23707.5i	−2.88983	+	0.891395i
$892$	3272.09	+	8337.15i	0.122823	+	0.312947i
$893$	−41086.7	−	12673.6i	−1.53966	−	0.474922i
$894$	−1961.57	−	26175.3i	−0.0733832	−	0.979231i
$895$	2974.20	+	13030.8i	0.111080	+	0.486673i
$896$	−2368.30	+	104.293i	−0.0883028	+	0.00388858i
$897$	−4605.66	+	20178.7i	−0.171436	+	0.751112i
$898$	−19589.5	−	2952.64i	−0.727961	−	0.109723i
$899$	3591.32	−	2448.52i	0.133234	−	0.0908372i
$900$	11214.2	−	19423.5i	0.415340	−	0.719391i
$901$	−530.422	−	918.718i	−0.0196126	−	0.0339700i
$902$	−33403.6	−	16086.3i	−1.23306	−	0.593810i
$903$	−22236.8	−	34875.8i	−0.819483	−	1.28527i
$904$	10346.8	−	4982.75i	0.380674	−	0.183323i
$905$	−14388.3	−	9809.76i	−0.528489	−	0.360318i
$906$	25592.9	+	23746.8i	0.938485	+	0.870787i
$907$	28358.4	+	26312.8i	1.03818	+	0.963287i	0.999353	−	0.0359587i	$-0.0114485\pi$
$907$	28358.4	+	26312.8i	1.03818	+	0.963287i	0.0388236	+	0.999246i	$0.487639\pi$
$908$	−20733.5	−	14135.8i	−0.757781	−	0.516646i
$909$	−59163.1	+	28491.4i	−2.15876	+	1.03961i
$910$	329.534	+	2760.60i	0.0120043	+	0.100564i
$911$	24247.2	+	11676.8i	0.881827	+	0.424666i	0.819292	−	0.573377i	$-0.194367\pi$
$911$	24247.2	+	11676.8i	0.881827	+	0.424666i	0.0625357	+	0.998043i	$0.480081\pi$
$912$	−5873.28	−	10172.8i	−0.213250	−	0.369359i
$913$	−14778.8	+	25597.6i	−0.535714	+	0.927884i
$914$	4999.35	−	3408.50i	0.180923	−	0.123351i
$915$	−33877.3	−	5106.18i	−1.22399	−	0.184486i
$916$	−129.474	+	567.261i	−0.00467022	+	0.0204616i
$917$	14192.1	−	19498.0i	0.511084	−	0.702159i
$918$	−1652.74	−	7241.13i	−0.0594211	−	0.260341i
$919$	−1642.15	−	21913.0i	−0.0589440	−	0.786553i	−0.945850	−	0.324604i	$-0.894769\pi$
$919$	−1642.15	−	21913.0i	−0.0589440	−	0.786553i	0.886906	−	0.461950i	$-0.152850\pi$
$920$	7053.97	+	2175.86i	0.252785	+	0.0779739i
$921$	−16531.4	−	42121.3i	−0.591453	−	1.50700i
$922$	−1093.82	+	337.397i	−0.0390704	+	0.0120516i
$923$	−7454.54	−	9347.70i	−0.265839	−	0.333351i
$924$	34437.9	+	29242.3i	1.22611	+	1.04113i
$925$	−15160.4	+	19010.5i	−0.538887	+	0.675743i
$926$	8362.90	−	21308.3i	0.296784	−	0.756193i
$927$	−1374.86	+	18346.2i	−0.0487122	+	0.650020i
$928$	−820.948	+	123.738i	−0.0290398	+	0.00437704i
$929$	2155.32	−	1999.85i	0.0761183	−	0.0706275i	−0.641196	−	0.767377i	$-0.721562\pi$
$929$	2155.32	−	1999.85i	0.0761183	−	0.0706275i	0.717315	+	0.696749i	$0.245371\pi$
$930$	−17423.7			−0.614351
$931$	11407.3	−	24511.0i	0.401566	−	0.862852i
$932$	−12978.0			−0.456126
$933$	42669.7	−	39591.7i	1.49726	−	1.38925i
$934$	20525.0	−	3093.65i	0.719057	−	0.108380i
$935$	332.486	−	4436.71i	0.0116294	−	0.155183i
$936$	−2348.12	+	5982.90i	−0.0819985	+	0.208929i
$937$	−6240.29	+	7825.08i	−0.217568	+	0.272822i	−0.878623	−	0.477515i	$-0.841537\pi$
$937$	−6240.29	+	7825.08i	−0.217568	+	0.272822i	0.661055	+	0.750337i	$0.270109\pi$
$938$	10636.9	+	2774.93i	0.370262	+	0.0965935i
$939$	32183.4	+	40356.7i	1.11849	+	1.40255i
$940$	11640.7	−	3590.67i	0.403911	−	0.124590i
$941$	1828.31	+	4658.47i	0.0633383	+	0.161383i	0.959039	−	0.283274i	$-0.0914206\pi$
$941$	1828.31	+	4658.47i	0.0633383	+	0.161383i	−0.895701	+	0.444657i	$0.853325\pi$
$942$	−44134.3	−	13613.6i	−1.52651	−	0.470866i
$943$	−3497.06	−	46665.0i	−0.120763	−	1.61147i
$944$	152.930	+	670.031i	0.00527273	+	0.0231013i
$945$	−28997.3	−	12423.9i	−0.998182	−	0.427672i
$946$	6986.72	−	30610.8i	0.240125	−	1.05205i
$947$	22668.8	+	3416.78i	0.777865	+	0.117244i	0.525962	−	0.850508i	$-0.323705\pi$
$947$	22668.8	+	3416.78i	0.777865	+	0.117244i	0.251903	+	0.967752i	$0.418944\pi$
$948$	−24765.9	+	16885.1i	−0.848480	+	0.578484i
$949$	−6904.37	+	11958.7i	−0.236170	+	0.409058i
$950$	−7395.88	−	12810.0i	−0.252583	−	0.437487i
$951$	−14012.6	−	6748.11i	−0.477802	−	0.230097i
$952$	−1266.73	+	1283.58i	−0.0431250	+	0.0436987i
$953$	−18508.6	+	8913.26i	−0.629120	+	0.302968i	−0.721141	−	0.692789i	$-0.756382\pi$
$953$	−18508.6	+	8913.26i	−0.629120	+	0.302968i	0.0920204	+	0.995757i	$0.470668\pi$
$954$	−8606.43	−	5867.77i	−0.292079	−	0.199136i
$955$	12080.5	+	11209.0i	0.409335	+	0.379807i
$956$	−4753.65	−	4410.74i	−0.160820	−	0.149219i
$957$	13072.9	+	8912.96i	0.441575	+	0.301061i
$958$	14653.1	−	7056.55i	0.494175	−	0.237982i
$959$	1083.47	+	114.832i	0.0364828	+	0.00386664i
$960$	2998.44	+	1443.97i	0.100807	+	0.0485459i
$961$	861.584	+	1492.31i	0.0289209	+	0.0500926i
$962$	3483.97	−	6034.41i	0.116765	−	0.202243i
$963$	4294.63	−	2928.03i	0.143710	−	0.0979797i
$964$	14130.4	+	2129.82i	0.472106	+	0.0711586i
$965$	−5340.69	+	23399.1i	−0.178158	+	0.780563i
$966$	−10230.8	+	56098.2i	−0.340757	+	1.86846i
$967$	6296.30	+	27585.9i	0.209385	+	0.917376i	0.964977	+	0.262333i	$0.0844920\pi$
$967$	6296.30	+	27585.9i	0.209385	+	0.917376i	−0.755592	+	0.655042i	$0.772651\pi$
$968$	1767.16	+	23581.1i	0.0586763	+	0.782980i
$969$	−8538.97	−	2633.92i	−0.283087	−	0.0873208i
$970$	4970.42	+	12664.4i	0.164526	+	0.419206i
$971$	3203.82	−	988.248i	0.105886	−	0.0326616i	−0.241359	−	0.970436i	$-0.577593\pi$
$971$	3203.82	−	988.248i	0.105886	−	0.0326616i	0.347246	+	0.937774i	$0.387117\pi$
$972$	−7991.10	−	10020.5i	−0.263698	−	0.330667i
$973$	−30347.6	+	5950.08i	−0.999898	+	0.196044i
$974$	4843.22	−	6073.20i	0.159329	−	0.199793i
$975$	−4292.84	+	10938.0i	−0.141006	+	0.359278i
$976$	−787.764	+	10512.0i	−0.0258358	+	0.344754i
$977$	−11226.4	+	1692.11i	−0.367620	+	0.0554097i	−0.330254	−	0.943892i	$-0.607135\pi$
$977$	−11226.4	+	1692.11i	−0.367620	+	0.0554097i	−0.0373652	+	0.999302i	$0.511896\pi$
$978$	45950.1	−	42635.5i	1.50237	−	1.39400i
$979$	24598.0			0.803019
$980$	1241.62	+	7558.34i	0.0404714	+	0.246370i
$981$	−7166.80			−0.233250
$982$	25765.5	−	23906.8i	0.837280	−	0.776882i
$983$	−2599.90	+	391.871i	−0.0843579	+	0.0127149i	−0.191086	−	0.981573i	$-0.561201\pi$
$983$	−2599.90	+	391.871i	−0.0843579	+	0.0127149i	0.106728	+	0.994288i	$0.465963\pi$
$984$	1576.59	−	21038.1i	0.0510771	−	0.681577i
$985$	8672.82	−	22098.0i	0.280547	−	0.714822i
$986$	−393.780	+	493.785i	−0.0127186	+	0.0159486i
$987$	38199.7	+	85999.5i	1.23192	+	2.77345i
$988$	2642.85	+	3314.03i	0.0851015	+	0.106714i
$989$	37869.5	−	11681.2i	1.21757	−	0.375572i
$990$	−15960.3	−	40666.3i	−0.512376	−	1.30551i
$991$	13104.0	+	4042.04i	0.420041	+	0.129566i	0.497569	−	0.867425i	$-0.334226\pi$
$991$	13104.0	+	4042.04i	0.420041	+	0.129566i	−0.0775272	+	0.996990i	$0.524702\pi$
$992$	400.636	+	5346.12i	0.0128228	+	0.171108i
$993$	−8233.93	−	36075.2i	−0.263138	−	1.15288i
$994$	−21650.9	−	24825.1i	−0.690871	−	0.792158i
$995$	−121.019	+	530.218i	−0.00385583	+	0.0168935i
$996$	−16631.5	−	2506.79i	−0.529105	−	0.0797498i
$997$	−25009.9	+	17051.5i	−0.794456	+	0.541651i	−0.891174	−	0.453661i	$-0.850118\pi$
$997$	−25009.9	+	17051.5i	−0.794456	+	0.541651i	0.0967184	+	0.995312i	$0.469165\pi$
$998$	15242.5	−	26400.8i	0.483460	−	0.837376i
$999$	39532.4	+	68472.1i	1.25200	+	2.16853i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	98.4.g.b.11.7	yes	84
49.9	even	21	inner	98.4.g.b.9.7	✓	84

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
98.4.g.b.9.7	✓	84	49.9	even	21	inner
98.4.g.b.11.7	yes	84	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 98 = 2 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	98.g (of order \(21\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.46610 + 1.36035i) q^{2} +(9.21030 - 1.38823i) q^{3} +(0.298920 - 3.98882i) q^{4} +(2.03964 - 5.19691i) q^{5} +(-11.6148 + 14.5645i) q^{6} +(8.54554 - 16.4309i) q^{7} +(4.98792 + 6.25465i) q^{8} +(57.1019 - 17.6136i) q^{9} +O(q^{10})\)	\(q+(-1.46610 + 1.36035i) q^{2} +(9.21030 - 1.38823i) q^{3} +(0.298920 - 3.98882i) q^{4} +(2.03964 - 5.19691i) q^{5} +(-11.6148 + 14.5645i) q^{6} +(8.54554 - 16.4309i) q^{7} +(4.98792 + 6.25465i) q^{8} +(57.1019 - 17.6136i) q^{9} +(4.07928 + 10.3938i) q^{10} +(-62.5656 - 19.2989i) q^{11} +(-2.78424 - 37.1531i) q^{12} +(2.99168 + 13.1074i) q^{13} +(9.82302 + 35.7143i) q^{14} +(11.5712 - 50.6966i) q^{15} +(-15.8213 - 2.38468i) q^{16} +(-10.0567 + 6.85656i) q^{17} +(-59.7568 + 103.502i) q^{18} +(39.4102 + 68.2605i) q^{19} +(-20.1198 - 9.68920i) q^{20} +(55.8971 - 163.196i) q^{21} +(117.981 - 56.8166i) q^{22} +(136.562 + 93.1066i) q^{23} +(54.6231 + 50.6828i) q^{24} +(68.7837 + 63.8220i) q^{25} +(-22.2167 - 15.1471i) q^{26} +(274.892 - 132.381i) q^{27} +(-62.9853 - 38.9981i) q^{28} +(-23.3751 - 11.2569i) q^{29} +(52.0004 + 90.0673i) q^{30} +(-83.7673 + 145.089i) q^{31} +(26.4396 - 18.0262i) q^{32} +(-603.039 - 90.8935i) q^{33} +(5.41692 - 23.7331i) q^{34} +(-67.9600 - 77.9235i) q^{35} +(-53.1885 - 233.034i) q^{36} +(19.3654 + 258.413i) q^{37} +(-150.637 - 46.4655i) q^{38} +(45.7503 + 116.570i) q^{39} +(42.6784 - 13.1646i) q^{40} +(-176.527 - 221.358i) q^{41} +(140.053 + 315.302i) q^{42} +(149.496 - 187.462i) q^{43} +(-95.6820 + 243.794i) q^{44} +(24.9309 - 332.679i) q^{45} +(-326.872 + 49.2680i) q^{46} +(-399.884 + 371.038i) q^{47} -149.029 q^{48} +(-196.948 - 280.821i) q^{49} -187.664 q^{50} +(-83.1070 + 77.1120i) q^{51} +(53.1773 - 8.01519i) q^{52} +(-6.51322 + 86.9129i) q^{53} +(-222.936 + 568.033i) q^{54} +(-227.906 + 285.785i) q^{55} +(145.394 - 28.5065i) q^{56} +(457.741 + 573.989i) q^{57} +(49.5835 - 15.2945i) q^{58} +(-15.6928 - 39.9847i) q^{59} +(-198.760 - 61.3095i) q^{60} +(-49.2352 - 656.999i) q^{61} +(-74.5599 - 326.668i) q^{62} +(198.560 - 1088.75i) q^{63} +(-14.2413 + 62.3954i) q^{64} +(74.2200 + 11.1869i) q^{65} +(1007.76 - 687.082i) q^{66} +(148.390 - 257.019i) q^{67} +(24.3434 + 42.1640i) q^{68} +(1387.03 + 667.960i) q^{69} +(205.639 + 21.7948i) q^{70} +(-801.230 + 385.852i) q^{71} +(394.987 + 269.297i) q^{72} +(752.913 + 698.601i) q^{73} +(-379.922 - 352.516i) q^{74} +(722.118 + 492.332i) q^{75} +(284.059 - 136.796i) q^{76} +(-851.755 + 863.088i) q^{77} +(-225.650 - 108.667i) q^{78} +(-402.260 - 696.734i) q^{79} +(-44.6627 + 77.3580i) q^{80} +(1014.98 - 692.004i) q^{81} +(559.930 + 84.3959i) q^{82} +(100.454 - 440.119i) q^{83} +(-634.252 - 271.746i) q^{84} +(15.1209 + 66.2488i) q^{85} +(35.8366 + 478.206i) q^{86} +(-230.919 - 71.2290i) q^{87} +(-191.364 - 487.587i) q^{88} +(-358.998 + 110.736i) q^{89} +(416.007 + 521.657i) q^{90} +(240.932 + 62.8539i) q^{91} +(412.206 - 516.890i) q^{92} +(-570.105 + 1452.60i) q^{93} +(81.5313 - 1087.96i) q^{94} +(435.127 - 65.5848i) q^{95} +(218.492 - 202.731i) q^{96} +1218.46 q^{97} +(670.760 + 143.797i) q^{98} -3912.54 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 84 q + 14 q^{2} + 2 q^{3} + 28 q^{4} - 9 q^{5} + 34 q^{6} + 28 q^{7} - 112 q^{8} - 175 q^{9}+O(q^{10}) \) 84 * q + 14 * q^2 + 2 * q^3 + 28 * q^4 - 9 * q^5 + 34 * q^6 + 28 * q^7 - 112 * q^8 - 175 * q^9	\( 84 q + 14 q^{2} + 2 q^{3} + 28 q^{4} - 9 q^{5} + 34 q^{6} + 28 q^{7} - 112 q^{8} - 175 q^{9} - 18 q^{10} - 133 q^{11} - 20 q^{12} + 70 q^{13} - 70 q^{14} - 161 q^{15} + 112 q^{16} - 173 q^{17} - 742 q^{18} + 383 q^{19} + 184 q^{20} - 392 q^{21} - 154 q^{22} + 357 q^{23} - 40 q^{24} + 154 q^{25} - 406 q^{26} + 746 q^{27} - 252 q^{28} - 161 q^{29} + 14 q^{30} + 891 q^{31} + 224 q^{32} - 625 q^{33} - 190 q^{34} + 784 q^{35} - 364 q^{36} + 3668 q^{37} - 1068 q^{38} + 1239 q^{39} + 264 q^{40} + 308 q^{41} + 1162 q^{42} + 490 q^{43} - 728 q^{44} - 1830 q^{45} - 1638 q^{46} - 730 q^{47} - 1184 q^{48} - 2562 q^{49} + 4284 q^{50} - 2513 q^{51} - 1232 q^{52} - 1218 q^{53} - 1390 q^{54} - 935 q^{55} + 504 q^{56} - 2562 q^{57} + 896 q^{58} + 1360 q^{59} + 1204 q^{60} + 4478 q^{61} + 2400 q^{62} + 2723 q^{63} - 896 q^{64} + 434 q^{65} + 2264 q^{66} - 1505 q^{67} + 1268 q^{68} + 3427 q^{69} - 1470 q^{70} - 4697 q^{71} + 560 q^{72} + 681 q^{73} - 1876 q^{74} - 1544 q^{75} - 40 q^{76} - 4137 q^{77} + 1120 q^{78} + 1687 q^{79} + 976 q^{80} + 2310 q^{81} - 308 q^{82} + 7441 q^{83} + 364 q^{84} + 1267 q^{85} + 2254 q^{86} - 12015 q^{87} - 1456 q^{88} - 3593 q^{89} - 3558 q^{90} - 1981 q^{91} + 1260 q^{92} - 6370 q^{93} + 3132 q^{94} + 2247 q^{95} - 160 q^{96} - 18662 q^{97} - 4550 q^{98} + 14966 q^{99}+O(q^{100}) \) 84 * q + 14 * q^2 + 2 * q^3 + 28 * q^4 - 9 * q^5 + 34 * q^6 + 28 * q^7 - 112 * q^8 - 175 * q^9 - 18 * q^10 - 133 * q^11 - 20 * q^12 + 70 * q^13 - 70 * q^14 - 161 * q^15 + 112 * q^16 - 173 * q^17 - 742 * q^18 + 383 * q^19 + 184 * q^20 - 392 * q^21 - 154 * q^22 + 357 * q^23 - 40 * q^24 + 154 * q^25 - 406 * q^26 + 746 * q^27 - 252 * q^28 - 161 * q^29 + 14 * q^30 + 891 * q^31 + 224 * q^32 - 625 * q^33 - 190 * q^34 + 784 * q^35 - 364 * q^36 + 3668 * q^37 - 1068 * q^38 + 1239 * q^39 + 264 * q^40 + 308 * q^41 + 1162 * q^42 + 490 * q^43 - 728 * q^44 - 1830 * q^45 - 1638 * q^46 - 730 * q^47 - 1184 * q^48 - 2562 * q^49 + 4284 * q^50 - 2513 * q^51 - 1232 * q^52 - 1218 * q^53 - 1390 * q^54 - 935 * q^55 + 504 * q^56 - 2562 * q^57 + 896 * q^58 + 1360 * q^59 + 1204 * q^60 + 4478 * q^61 + 2400 * q^62 + 2723 * q^63 - 896 * q^64 + 434 * q^65 + 2264 * q^66 - 1505 * q^67 + 1268 * q^68 + 3427 * q^69 - 1470 * q^70 - 4697 * q^71 + 560 * q^72 + 681 * q^73 - 1876 * q^74 - 1544 * q^75 - 40 * q^76 - 4137 * q^77 + 1120 * q^78 + 1687 * q^79 + 976 * q^80 + 2310 * q^81 - 308 * q^82 + 7441 * q^83 + 364 * q^84 + 1267 * q^85 + 2254 * q^86 - 12015 * q^87 - 1456 * q^88 - 3593 * q^89 - 3558 * q^90 - 1981 * q^91 + 1260 * q^92 - 6370 * q^93 + 3132 * q^94 + 2247 * q^95 - 160 * q^96 - 18662 * q^97 - 4550 * q^98 + 14966 * q^99

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