LMFDB - Embedded newform 98.4.g.b.11.4

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			11.4
Character	$\chi$	$=$	98.11
Dual form			98.4.g.b.9.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.46610 + 1.36035i) q^{2} +(1.04126 - 0.156944i) q^{3} +(0.298920 - 3.98882i) q^{4} +(4.89065 - 12.4612i) q^{5} +(-1.31309 + 1.64657i) q^{6} +(-18.0383 + 4.19769i) q^{7} +(4.98792 + 6.25465i) q^{8} +(-24.7409 + 7.63155i) q^{9} +O(q^{10})$	\(q+(-1.46610 + 1.36035i) q^{2} +(1.04126 - 0.156944i) q^{3} +(0.298920 - 3.98882i) q^{4} +(4.89065 - 12.4612i) q^{5} +(-1.31309 + 1.64657i) q^{6} +(-18.0383 + 4.19769i) q^{7} +(4.98792 + 6.25465i) q^{8} +(-24.7409 + 7.63155i) q^{9} +(9.78130 + 24.9223i) q^{10} +(-39.2439 - 12.1051i) q^{11} +(-0.314769 - 4.20030i) q^{12} +(-8.03191 - 35.1901i) q^{13} +(20.7357 - 30.6925i) q^{14} +(3.13672 - 13.7428i) q^{15} +(-15.8213 - 2.38468i) q^{16} +(62.7699 - 42.7958i) q^{17} +(25.8912 - 44.8448i) q^{18} +(-17.8284 - 30.8798i) q^{19} +(-48.2434 - 23.2328i) q^{20} +(-18.1237 + 7.20188i) q^{21} +(74.0027 - 35.6378i) q^{22} +(-89.8412 - 61.2527i) q^{23} +(6.17534 + 5.72988i) q^{24} +(-39.7308 - 36.8648i) q^{25} +(59.6463 + 40.6662i) q^{26} +(-50.1798 + 24.1653i) q^{27} +(11.3518 + 73.2061i) q^{28} +(42.6240 + 20.5266i) q^{29} +(14.0963 + 24.4155i) q^{30} +(11.7146 - 20.2903i) q^{31} +(26.4396 - 18.0262i) q^{32} +(-42.7628 - 6.44546i) q^{33} +(-33.8101 + 148.132i) q^{34} +(-35.9107 + 245.307i) q^{35} +(23.0453 + 100.968i) q^{36} +(-11.6279 - 155.164i) q^{37} +(68.1455 + 21.0201i) q^{38} +(-13.8862 - 35.3814i) q^{39} +(102.334 - 31.5660i) q^{40} +(59.5151 + 74.6296i) q^{41} +(16.7742 - 35.2132i) q^{42} +(-105.587 + 132.401i) q^{43} +(-60.0159 + 152.918i) q^{44} +(-25.9009 + 345.624i) q^{45} +(215.041 - 32.4123i) q^{46} +(136.276 - 126.446i) q^{47} -16.8483 q^{48} +(307.759 - 151.438i) q^{49} +108.398 q^{50} +(58.6431 - 54.4128i) q^{51} +(-142.768 + 21.5188i) q^{52} +(-50.1682 + 669.448i) q^{53} +(40.6956 - 103.691i) q^{54} +(-342.772 + 429.823i) q^{55} +(-116.229 - 91.8854i) q^{56} +(-23.4104 - 29.3557i) q^{57} +(-90.4146 + 27.8892i) q^{58} +(240.534 + 612.871i) q^{59} +(-53.8801 - 16.6198i) q^{60} +(-67.6626 - 902.894i) q^{61} +(10.4270 + 45.6836i) q^{62} +(414.248 - 241.515i) q^{63} +(-14.2413 + 62.3954i) q^{64} +(-477.791 - 72.0154i) q^{65} +(71.4628 - 48.7225i) q^{66} +(135.961 - 235.492i) q^{67} +(-151.941 - 263.170i) q^{68} +(-103.161 - 49.6798i) q^{69} +(-281.054 - 408.497i) q^{70} +(597.093 - 287.545i) q^{71} +(-171.138 - 116.680i) q^{72} +(-474.114 - 439.914i) q^{73} +(228.124 + 211.668i) q^{74} +(-47.1557 - 32.1502i) q^{75} +(-128.503 + 61.8837i) q^{76} +(758.705 + 53.6220i) q^{77} +(68.4895 + 32.9828i) q^{78} +(-573.481 - 993.299i) q^{79} +(-107.092 + 185.489i) q^{80} +(529.134 - 360.757i) q^{81} +(-188.777 - 28.4536i) q^{82} +(-273.177 + 1196.87i) q^{83} +(23.3094 + 74.4448i) q^{84} +(-226.300 - 991.485i) q^{85} +(-25.3107 - 337.748i) q^{86} +(47.6041 + 14.6839i) q^{87} +(-120.032 - 305.836i) q^{88} +(41.9774 - 12.9483i) q^{89} +(-432.194 - 541.954i) q^{90} +(292.599 + 601.053i) q^{91} +(-271.181 + 340.050i) q^{92} +(9.01348 - 22.9660i) q^{93} +(-27.7850 + 370.765i) q^{94} +(-471.990 + 71.1411i) q^{95} +(24.7014 - 22.9195i) q^{96} -406.113 q^{97} +(-245.198 + 640.682i) q^{98} +1063.31 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
$3$	1.04126	−	0.156944i	0.200390	−	0.0302040i	−0.0480801	−	0.998843i	$-0.515310\pi$
$3$	1.04126	−	0.156944i	0.200390	−	0.0302040i	0.248470	+	0.968640i	$0.420072\pi$
$4$	0.298920	−	3.98882i	0.0373650	−	0.498602i
$5$	4.89065	−	12.4612i	0.437433	−	1.11456i	−0.526914	−	0.849919i	$-0.676651\pi$
$5$	4.89065	−	12.4612i	0.437433	−	1.11456i	0.964347	−	0.264642i	$-0.0852538\pi$
$6$	−1.31309	+	1.64657i	−0.0893447	+	0.112035i
$7$	−18.0383	+	4.19769i	−0.973975	+	0.226654i
$7$	−18.0383	+	4.19769i	−0.973975	+	0.226654i
$8$	4.98792	+	6.25465i	0.220437	+	0.276419i
$9$	−24.7409	+	7.63155i	−0.916329	+	0.282650i
$10$	9.78130	+	24.9223i	0.309312	+	0.788114i
$11$	−39.2439	−	12.1051i	−1.07568	−	0.331803i	−0.294206	−	0.955742i	$-0.595055\pi$
$11$	−39.2439	−	12.1051i	−1.07568	−	0.331803i	−0.781473	+	0.623939i	$0.785531\pi$
$12$	−0.314769	−	4.20030i	−0.00757216	−	0.101043i
$13$	−8.03191	−	35.1901i	−0.171358	−	0.750768i	−0.985441	−	0.170019i	$-0.945617\pi$
$13$	−8.03191	−	35.1901i	−0.171358	−	0.750768i	0.814083	−	0.580749i	$-0.197240\pi$
$14$	20.7357	−	30.6925i	0.395846	−	0.585923i
$15$	3.13672	−	13.7428i	0.0539931	−	0.236559i
$16$	−15.8213	−	2.38468i	−0.247208	−	0.0372606i
$17$	62.7699	−	42.7958i	0.895525	−	0.610559i	−0.0256652	−	0.999671i	$-0.508170\pi$
$17$	62.7699	−	42.7958i	0.895525	−	0.610559i	0.921191	+	0.389112i	$0.127218\pi$
$18$	25.8912	−	44.8448i	0.339033	−	0.587223i
$19$	−17.8284	−	30.8798i	−0.215270	−	0.372858i	0.738086	−	0.674706i	$-0.235730\pi$
$19$	−17.8284	−	30.8798i	−0.215270	−	0.372858i	−0.953356	+	0.301848i	$0.902396\pi$
$20$	−48.2434	−	23.2328i	−0.539377	−	0.259751i
$21$	−18.1237	+	7.20188i	−0.188329	+	0.0748371i
$22$	74.0027	−	35.6378i	0.717156	−	0.345364i
$23$	−89.8412	−	61.2527i	−0.814487	−	0.555308i	0.0828973	−	0.996558i	$-0.473583\pi$
$23$	−89.8412	−	61.2527i	−0.814487	−	0.555308i	−0.897384	+	0.441251i	$0.854535\pi$
$24$	6.17534	+	5.72988i	0.0525223	+	0.0487336i
$25$	−39.7308	−	36.8648i	−0.317847	−	0.294919i
$26$	59.6463	+	40.6662i	0.449908	+	0.306742i
$27$	−50.1798	+	24.1653i	−0.357671	+	0.172245i
$28$	11.3518	+	73.2061i	0.0766175	+	0.494095i
$29$	42.6240	+	20.5266i	0.272934	+	0.131438i	0.565345	−	0.824855i	$-0.308743\pi$
$29$	42.6240	+	20.5266i	0.272934	+	0.131438i	−0.292411	+	0.956293i	$0.594457\pi$
$30$	14.0963	+	24.4155i	0.0857872	+	0.148588i
$31$	11.7146	−	20.2903i	0.0678712	−	0.117556i	−0.830093	−	0.557625i	$-0.811713\pi$
$31$	11.7146	−	20.2903i	0.0678712	−	0.117556i	0.897964	+	0.440069i	$0.145046\pi$
$32$	26.4396	−	18.0262i	0.146060	−	0.0995819i
$33$	−42.7628	−	6.44546i	−0.225577	−	0.0340003i
$34$	−33.8101	+	148.132i	−0.170541	+	0.747188i
$35$	−35.9107	+	245.307i	−0.173429	+	1.18470i
$36$	23.0453	+	100.968i	0.106691	+	0.467445i
$37$	−11.6279	−	155.164i	−0.0516653	−	0.689426i	−0.961561	−	0.274590i	$-0.911458\pi$
$37$	−11.6279	−	155.164i	−0.0516653	−	0.689426i	0.909896	−	0.414836i	$-0.136161\pi$
$38$	68.1455	+	21.0201i	0.290912	+	0.0897345i
$39$	−13.8862	−	35.3814i	−0.0570146	−	0.145271i
$40$	102.334	−	31.5660i	0.404512	−	0.124776i
$41$	59.5151	+	74.6296i	0.226700	+	0.284273i	0.882153	−	0.470963i	$-0.156094\pi$
$41$	59.5151	+	74.6296i	0.226700	+	0.284273i	−0.655453	+	0.755236i	$0.727522\pi$
$42$	16.7742	−	35.2132i	0.0616264	−	0.129369i
$43$	−105.587	+	132.401i	−0.374460	+	0.469558i	−0.932978	−	0.359935i	$-0.882799\pi$
$43$	−105.587	+	132.401i	−0.374460	+	0.469558i	0.558517	+	0.829493i	$0.311370\pi$
$44$	−60.0159	+	152.918i	−0.205630	+	0.523938i
$45$	−25.9009	+	345.624i	−0.0858017	+	1.14494i
$46$	215.041	−	32.4123i	0.689264	−	0.103890i
$47$	136.276	−	126.446i	0.422935	−	0.392426i	−0.439790	−	0.898101i	$-0.644947\pi$
$47$	136.276	−	126.446i	0.422935	−	0.392426i	0.862724	+	0.505675i	$0.168756\pi$
$48$	−16.8483			−0.0506634
$49$	307.759	−	151.438i	0.897256	−	0.441511i
$50$	108.398			0.306597
$51$	58.6431	−	54.4128i	0.161013	−	0.149398i
$52$	−142.768	+	21.5188i	−0.380737	+	0.0573869i
$53$	−50.1682	+	669.448i	−0.130021	+	1.73502i	0.426768	+	0.904361i	$0.359652\pi$
$53$	−50.1682	+	669.448i	−0.130021	+	1.73502i	−0.556789	+	0.830654i	$0.687967\pi$
$54$	40.6956	−	103.691i	0.102555	−	0.261306i
$55$	−342.772	+	429.823i	−0.840352	+	1.05377i
$56$	−116.229	−	91.8854i	−0.277352	−	0.219263i
$57$	−23.4104	−	29.3557i	−0.0543997	−	0.0682151i
$58$	−90.4146	+	27.8892i	−0.204690	+	0.0631385i
$59$	240.534	+	612.871i	0.530760	+	1.35236i	0.905153	+	0.425085i	$0.139756\pi$
$59$	240.534	+	612.871i	0.530760	+	1.35236i	−0.374393	+	0.927270i	$0.622149\pi$
$60$	−53.8801	−	16.6198i	−0.115931	−	0.0357601i
$61$	−67.6626	−	902.894i	−0.142021	−	1.89514i	−0.381693	−	0.924289i	$-0.624659\pi$
$61$	−67.6626	−	902.894i	−0.142021	−	1.89514i	0.239672	−	0.970854i	$-0.422960\pi$
$62$	10.4270	+	45.6836i	0.0213585	+	0.0935778i
$63$	414.248	−	241.515i	0.828418	−	0.482984i
$64$	−14.2413	+	62.3954i	−0.0278151	+	0.121866i
$65$	−477.791	−	72.0154i	−0.911734	−	0.137422i
$66$	71.4628	−	48.7225i	0.133280	−	0.0908685i
$67$	135.961	−	235.492i	0.247915	−	0.429402i	−0.715032	−	0.699092i	$-0.753588\pi$
$67$	135.961	−	235.492i	0.247915	−	0.429402i	0.962947	+	0.269690i	$0.0869213\pi$
$68$	−151.941	−	263.170i	−0.270964	−	0.469324i
$69$	−103.161	−	49.6798i	−0.179988	−	0.0866774i
$70$	−281.054	−	408.497i	−0.479891	−	0.697496i
$71$	597.093	−	287.545i	0.998054	−	0.480638i	0.137777	−	0.990463i	$-0.456004\pi$
$71$	597.093	−	287.545i	0.998054	−	0.480638i	0.860278	+	0.509826i	$0.170290\pi$
$72$	−171.138	−	116.680i	−0.280123	−	0.190984i
$73$	−474.114	−	439.914i	−0.760149	−	0.705315i	0.201533	−	0.979482i	$-0.435408\pi$
$73$	−474.114	−	439.914i	−0.760149	−	0.705315i	−0.961682	+	0.274167i	$0.911598\pi$
$74$	228.124	+	211.668i	0.358363	+	0.332512i
$75$	−47.1557	−	32.1502i	−0.0726010	−	0.0494985i
$76$	−128.503	+	61.8837i	−0.193951	+	0.0934020i
$77$	758.705	+	53.6220i	1.12289	+	0.0793610i
$78$	68.4895	+	32.9828i	0.0994219	+	0.0478791i
$79$	−573.481	−	993.299i	−0.816730	−	1.41462i	−0.908079	−	0.418799i	$-0.862451\pi$
$79$	−573.481	−	993.299i	−0.816730	−	1.41462i	0.0913486	−	0.995819i	$-0.470882\pi$
$80$	−107.092	+	185.489i	−0.149666	+	0.259229i
$81$	529.134	−	360.757i	0.725835	−	0.494866i
$82$	−188.777	−	28.4536i	−0.254231	−	0.0383192i
$83$	−273.177	+	1196.87i	−0.361266	+	1.58281i	0.388719	+	0.921356i	$0.372918\pi$
$83$	−273.177	+	1196.87i	−0.361266	+	1.58281i	−0.749986	+	0.661454i	$0.769940\pi$
$84$	23.3094	+	74.4448i	0.0302770	+	0.0966976i
$85$	−226.300	−	991.485i	−0.288773	−	1.26520i
$86$	−25.3107	−	337.748i	−0.0317364	−	0.423492i
$87$	47.6041	+	14.6839i	0.0586632	+	0.0180952i
$88$	−120.032	−	305.836i	−0.145403	−	0.370480i
$89$	41.9774	−	12.9483i	0.0499955	−	0.0154216i	−0.269657	−	0.962957i	$-0.586910\pi$
$89$	41.9774	−	12.9483i	0.0499955	−	0.0154216i	0.319652	+	0.947535i	$0.396434\pi$
$90$	−432.194	−	541.954i	−0.506192	−	0.634744i
$91$	292.599	+	601.053i	0.337063	+	0.692390i
$92$	−271.181	+	340.050i	−0.307311	+	0.385355i
$93$	9.01348	−	22.9660i	0.0100500	−	0.0256071i
$94$	−27.7850	+	370.765i	−0.0304873	+	0.406825i
$95$	−471.990	+	71.1411i	−0.509739	+	0.0768308i
$96$	24.7014	−	22.9195i	0.0262612	−	0.0243668i
$97$	−406.113			−0.425099			−0.212549	−	0.977150i	$-0.568177\pi$
$97$	−406.113			−0.425099			−0.212549	+	0.977150i	$0.568177\pi$
$98$	−245.198	+	640.682i	−0.252742	+	0.660395i
$99$	1063.31			1.07946
$100$	−158.923	+	147.459i	−0.158923	+	0.147459i
$101$	40.9466	−	6.17170i	0.0403399	−	0.00608027i	−0.128841	−	0.991665i	$-0.541126\pi$
$101$	40.9466	−	6.17170i	0.0403399	−	0.00608027i	0.169181	+	0.985585i	$0.445888\pi$
$102$	−11.9566	+	159.550i	−0.0116067	+	0.154880i
$103$	−298.243	+	759.911i	−0.285309	+	0.726954i	0.714323	+	0.699816i	$0.246735\pi$
$103$	−298.243	+	759.911i	−0.285309	+	0.726954i	−0.999632	+	0.0271383i	$0.991361\pi$
$104$	180.039	−	225.762i	0.169753	−	0.212864i
$105$	1.10730	+	261.064i	0.00102916	+	0.242641i
$106$	−837.129	−	1049.73i	−0.767068	−	0.961873i
$107$	−795.645	+	245.424i	−0.718859	+	0.221739i	−0.632539	−	0.774529i	$-0.717987\pi$
$107$	−795.645	+	245.424i	−0.718859	+	0.221739i	−0.0863203	+	0.996267i	$0.527511\pi$
$108$	81.3912	+	207.381i	0.0725174	+	0.184771i
$109$	1797.48	+	554.449i	1.57952	+	0.487216i	0.955697	−	0.294352i	$-0.0951038\pi$
$109$	1797.48	+	554.449i	1.57952	+	0.487216i	0.623820	+	0.781568i	$0.285580\pi$
$110$	−82.1678	−	1096.45i	−0.0712217	−	0.950388i
$111$	−36.4597	−	159.740i	−0.0311766	−	0.136594i
$112$	295.399	−	23.3975i	0.249219	−	0.0197398i
$113$	465.106	−	2037.76i	0.387199	−	1.69643i	−0.287040	−	0.957918i	$-0.592671\pi$
$113$	465.106	−	2037.76i	0.387199	−	1.69643i	0.674240	−	0.738513i	$-0.264471\pi$
$114$	74.2560	+	11.1923i	0.0610062	+	0.00919521i
$115$	−1202.66	+	819.961i	−0.975207	+	0.664885i
$116$	94.6182	−	163.884i	0.0757334	−	0.131174i
$117$	467.272	+	809.338i	0.369225	+	0.639516i
$118$	−1186.36	−	571.323i	−0.925539	−	0.445716i
$119$	−952.617	+	1035.45i	−0.733834	+	0.797644i
$120$	101.602	−	48.9291i	0.0772916	−	0.0372217i
$121$	293.823	+	200.325i	0.220754	+	0.150507i
$122$	1327.45	+	1231.69i	0.985094	+	0.914034i
$123$	73.6832	+	68.3680i	0.0540146	+	0.0501182i
$124$	−77.4325	−	52.7926i	−0.0560778	−	0.0382332i
$125$	853.918	−	411.225i	0.611014	−	0.294249i
$126$	−278.787	+	917.606i	−0.197114	+	0.648784i
$127$	1585.59	+	763.579i	1.10786	+	0.533517i	0.896121	−	0.443809i	$-0.146373\pi$
$127$	1585.59	+	763.579i	1.10786	+	0.533517i	0.211738	+	0.977326i	$0.432088\pi$
$128$	−64.0000	−	110.851i	−0.0441942	−	0.0765466i
$129$	−89.1631	+	154.435i	−0.0608556	+	0.105405i
$130$	798.457	−	544.379i	0.538687	−	0.367271i
$131$	−1189.19	−	179.242i	−0.793133	−	0.119546i	−0.260035	−	0.965599i	$-0.583734\pi$
$131$	−1189.19	−	179.242i	−0.793133	−	0.119546i	−0.533098	+	0.846054i	$0.678972\pi$
$132$	−38.4924	+	168.646i	−0.0253813	+	0.111203i
$133$	451.218	+	482.179i	0.294177	+	0.314363i
$134$	121.017	+	530.210i	0.0780169	+	0.341815i
$135$	55.7164	+	743.483i	0.0355207	+	0.473991i
$136$	580.764	+	179.142i	0.366177	+	0.112951i
$137$	−505.733	−	1288.59i	−0.315384	−	0.803586i	−0.997388	−	0.0722369i	$-0.976986\pi$
$137$	−505.733	−	1288.59i	−0.315384	−	0.803586i	0.682003	−	0.731349i	$-0.261109\pi$
$138$	218.827	−	67.4991i	0.134984	−	0.0416370i
$139$	−1255.38	−	1574.20i	−0.766044	−	0.960588i	0.233888	−	0.972264i	$-0.424855\pi$
$139$	−1255.38	−	1574.20i	−0.766044	−	0.960588i	−0.999932	+	0.0116751i	$0.996284\pi$
$140$	967.752	+	216.569i	0.584214	+	0.130738i
$141$	122.054	−	153.050i	0.0728991	−	0.0914126i
$142$	−484.240	+	1233.82i	−0.286172	+	0.729156i
$143$	−110.778	+	1478.22i	−0.0647810	+	0.864442i
$144$	409.631	−	61.7420i	0.237055	−	0.0357303i
$145$	464.245	−	430.757i	0.265886	−	0.246706i
$146$	1293.53			0.733245
$147$	296.689	−	205.987i	0.166466	−	0.115575i
$148$	−622.395			−0.345680
$149$	524.939	−	487.073i	0.288622	−	0.267802i	−0.522551	−	0.852608i	$-0.675020\pi$
$149$	524.939	−	487.073i	0.288622	−	0.267802i	0.811173	+	0.584806i	$0.198829\pi$
$150$	112.871	−	17.0125i	0.0614390	−	0.00926044i
$151$	6.48447	−	86.5292i	0.00349469	−	0.0466334i	−0.995184	−	0.0980264i	$-0.968747\pi$
$151$	6.48447	−	86.5292i	0.00349469	−	0.0466334i	0.998679	+	0.0513930i	$0.0163661\pi$
$152$	104.215	−	265.536i	0.0556117	−	0.141696i
$153$	−1226.38	+	1537.84i	−0.648021	+	0.812593i
$154$	−1185.29	+	953.486i	−0.620214	+	0.498923i
$155$	−195.549	−	245.210i	−0.101335	−	0.127070i
$156$	−145.281	+	44.8132i	−0.0745626	+	0.0229995i
$157$	−1165.58	−	2969.85i	−0.592506	−	1.50968i	−0.840993	−	0.541046i	$-0.818029\pi$
$157$	−1165.58	−	2969.85i	−0.592506	−	1.50968i	0.248487	−	0.968635i	$-0.420067\pi$
$158$	2192.01	+	676.146i	1.10372	+	0.340451i
$159$	52.8281	+	704.942i	0.0263493	+	0.351607i
$160$	−95.3211	−	417.629i	−0.0470987	−	0.206353i
$161$	1877.70	+	727.768i	0.919153	+	0.356249i
$162$	−285.011	+	1248.71i	−0.138226	+	0.605606i
$163$	−1803.56	−	271.842i	−0.866659	−	0.130628i	−0.299361	−	0.954140i	$-0.596773\pi$
$163$	−1803.56	−	271.842i	−0.866659	−	0.130628i	−0.567299	+	0.823512i	$0.692011\pi$
$164$	315.474	−	215.086i	0.150210	−	0.102411i
$165$	−289.456	+	501.352i	−0.136570	+	0.236547i
$166$	−1227.65	−	2126.35i	−0.573999	−	0.994196i
$167$	1636.21	+	787.956i	0.758165	+	0.365113i	0.772692	−	0.634782i	$-0.218910\pi$
$167$	1636.21	+	787.956i	0.758165	+	0.365113i	−0.0145268	+	0.999894i	$0.504624\pi$
$168$	−135.445	−	77.4350i	−0.0622011	−	0.0355609i
$169$	805.596	−	387.955i	0.366680	−	0.176584i
$170$	1680.54	+	1145.77i	0.758186	+	0.516923i
$171$	676.752	+	627.934i	0.302646	+	0.280815i
$172$	496.562	+	460.743i	0.220131	+	0.204252i
$173$	−1378.30	−	939.708i	−0.605723	−	0.412975i	0.221249	−	0.975217i	$-0.428986\pi$
$173$	−1378.30	−	939.708i	−0.605723	−	0.412975i	−0.826973	+	0.562242i	$0.809939\pi$
$174$	−89.7678	+	43.2299i	−0.0391108	+	0.0188348i
$175$	871.423	+	498.200i	0.376419	+	0.215202i
$176$	592.022	+	285.103i	0.253553	+	0.122105i
$177$	346.644	+	600.406i	0.147206	+	0.254968i
$178$	−43.9291	+	76.0874i	−0.0184979	+	0.0320393i
$179$	−429.972	+	293.150i	−0.179540	+	0.122408i	−0.649755	−	0.760144i	$-0.725129\pi$
$179$	−429.972	+	293.150i	−0.179540	+	0.122408i	0.470215	+	0.882552i	$0.344176\pi$
$180$	1370.89	+	206.628i	0.567666	+	0.0855618i
$181$	−508.562	+	2228.15i	−0.208846	+	0.915013i	0.756491	+	0.654005i	$0.226912\pi$
$181$	−508.562	+	2228.15i	−0.208846	+	0.915013i	−0.965336	+	0.261009i	$0.915945\pi$
$182$	−1246.62	−	483.171i	−0.507724	−	0.196786i
$183$	−212.158	−	929.526i	−0.0857005	−	0.375478i
$184$	−65.0063	−	867.449i	−0.0260453	−	0.347550i
$185$	−1990.39	−	613.954i	−0.791007	−	0.243993i
$186$	18.0270	+	45.9319i	0.00710646	+	0.0181070i
$187$	−2981.38	+	919.634i	−1.16588	+	0.359627i
$188$	−463.633	−	581.378i	−0.179861	−	0.225539i
$189$	803.719	−	646.540i	0.309322	−	0.248830i
$190$	595.211	−	746.370i	0.227269	−	0.284986i
$191$	1722.34	−	4388.45i	0.652483	−	1.66250i	−0.0927462	−	0.995690i	$-0.529565\pi$
$191$	1722.34	−	4388.45i	0.652483	−	1.66250i	0.745229	−	0.666809i	$-0.232340\pi$
$192$	−5.03630	+	67.2048i	−0.00189304	+	0.0252609i
$193$	−1437.01	+	216.595i	−0.535951	+	0.0807816i	−0.411441	−	0.911437i	$-0.634974\pi$
$193$	−1437.01	+	216.595i	−0.535951	+	0.0807816i	−0.124511	+	0.992218i	$0.539736\pi$
$194$	595.404	−	552.455i	0.220348	−	0.204453i
$195$	−508.806			−0.186853
$196$	−512.064	−	1272.86i	−0.186612	−	0.463871i
$197$	−4764.01			−1.72295			−0.861476	−	0.507798i	$-0.830460\pi$
$197$	−4764.01			−1.72295			−0.861476	+	0.507798i	$0.830460\pi$
$198$	−1558.92	+	1446.47i	−0.559534	+	0.519172i
$199$	−3916.79	+	590.361i	−1.39525	+	0.210299i	−0.803250	−	0.595642i	$-0.796898\pi$
$199$	−3916.79	+	590.361i	−1.39525	+	0.210299i	−0.591996	+	0.805941i	$0.701660\pi$
$200$	32.4025	−	432.381i	0.0114560	−	0.152870i
$201$	104.612	−	266.546i	0.0367101	−	0.0935358i
$202$	−51.6363	+	64.7498i	−0.0179857	+	0.0225534i
$203$	−855.028	−	191.343i	−0.295622	−	0.0661558i
$204$	−199.513	−	250.181i	−0.0684740	−	0.0858637i
$205$	1221.04	−	376.641i	0.416005	−	0.128321i
$206$	−596.487	−	1519.82i	−0.201744	−	0.514034i
$207$	2690.20	+	829.818i	0.903295	+	0.278630i
$208$	43.1582	+	575.907i	0.0143869	+	0.191980i
$209$	325.853	+	1427.66i	0.107846	+	0.472503i
$210$	−356.761	−	381.241i	−0.117233	−	0.125277i
$211$	829.439	−	3634.01i	0.270620	−	1.18567i	−0.638662	−	0.769487i	$-0.720512\pi$
$211$	829.439	−	3634.01i	0.270620	−	1.18567i	0.909283	−	0.416179i	$-0.136631\pi$
$212$	2655.31	+	400.224i	0.860224	+	0.129658i
$213$	576.599	−	393.118i	0.185483	−	0.126460i
$214$	832.637	−	1442.17i	0.265971	−	0.460676i
$215$	1133.49	+	1963.26i	0.359550	+	0.622759i
$216$	−401.438	−	193.323i	−0.126456	−	0.0608978i
$217$	−126.139	+	415.176i	−0.0394602	+	0.129880i
$218$	−3389.53	+	1632.31i	−1.05307	+	0.507129i
$219$	−562.717	−	383.654i	−0.173630	−	0.118379i
$220$	1612.02	+	1495.74i	0.494011	+	0.458375i
$221$	−2010.15	−	1865.15i	−0.611843	−	0.567708i
$222$	270.756	+	184.598i	0.0818556	+	0.0558082i
$223$	4758.89	−	2291.76i	1.42905	−	0.688195i	0.450231	−	0.892912i	$-0.351342\pi$
$223$	4758.89	−	2291.76i	1.42905	−	0.688195i	0.978821	+	0.204717i	$0.0656274\pi$
$224$	−401.257	+	436.148i	−0.119688	+	0.130095i
$225$	1264.31	+	608.860i	0.374611	+	0.180403i
$226$	2090.17	+	3620.28i	0.615203	+	1.06556i
$227$	629.307	−	1089.99i	0.184002	−	0.318701i	−0.759238	−	0.650814i	$-0.774428\pi$
$227$	629.307	−	1089.99i	0.184002	−	0.318701i	0.943240	+	0.332112i	$0.107761\pi$
$228$	−124.092	+	84.6047i	−0.0360448	+	0.0245749i
$229$	−1068.13	−	160.995i	−0.308227	−	0.0464578i	−0.00689275	−	0.999976i	$-0.502194\pi$
$229$	−1068.13	−	160.995i	−0.308227	−	0.0464578i	−0.301335	+	0.953518i	$0.597432\pi$
$230$	647.797	−	2838.18i	0.185715	−	0.813671i
$231$	798.423	−	63.2402i	0.227413	−	0.0180125i
$232$	84.2181	+	368.984i	0.0238327	+	0.104418i
$233$	−155.045	−	2068.94i	−0.0435938	−	0.581719i	−0.975640	−	0.219379i	$-0.929597\pi$
$233$	−155.045	−	2068.94i	−0.0435938	−	0.581719i	0.932046	−	0.362340i	$-0.118022\pi$
$234$	−1786.05	−	550.923i	−0.498964	−	0.153910i
$235$	−909.184	−	2316.56i	−0.252377	−	0.643046i
$236$	2516.53	−	776.246i	0.694119	−	0.214107i
$237$	−753.034	−	944.275i	−0.206392	−	0.258807i
$238$	−11.9354	−	2813.97i	−0.00325066	−	0.766396i
$239$	−2607.22	+	3269.35i	−0.705637	+	0.884840i	−0.997430	−	0.0716408i	$-0.977176\pi$
$239$	−2607.22	+	3269.35i	−0.705637	+	0.884840i	0.291794	+	0.956481i	$0.405748\pi$
$240$	−82.3991	+	209.950i	−0.0221618	+	0.0564674i
$241$	325.488	−	4343.33i	0.0869980	−	1.16091i	−0.767358	−	0.641219i	$-0.778429\pi$
$241$	325.488	−	4343.33i	0.0869980	−	1.16091i	0.854356	−	0.519688i	$-0.173952\pi$
$242$	−703.287	+	106.004i	−0.186814	+	0.0281577i
$243$	1596.69	−	1481.51i	0.421514	−	0.391107i
$244$	−3621.70			−0.950229
$245$	−381.958	−	4575.67i	−0.0996015	−	1.19318i
$246$	−201.031			−0.0521028
$247$	−943.466	+	875.408i	−0.243042	+	0.225510i
$248$	185.340	−	27.9356i	0.0474561	−	0.00715286i
$249$	−96.6063	+	1289.12i	−0.0245870	+	0.328091i
$250$	−692.524	+	1764.52i	−0.175196	+	0.446393i
$251$	2385.06	−	2990.77i	0.599776	−	0.752095i	−0.385567	−	0.922680i	$-0.625994\pi$
$251$	2385.06	−	2990.77i	0.599776	−	0.752095i	0.985343	+	0.170585i	$0.0545656\pi$
$252$	−839.530	−	1724.55i	−0.209863	−	0.431097i
$253$	2784.25	+	3491.33i	0.691874	+	0.867582i
$254$	−3363.37	+	1037.46i	−0.830852	+	0.256284i
$255$	−391.245	−	996.875i	−0.0960811	−	0.244811i
$256$	244.627	+	75.4573i	0.0597233	+	0.0184222i
$257$	280.215	+	3739.21i	0.0680129	+	0.907570i	0.921979	+	0.387240i	$0.126572\pi$
$257$	280.215	+	3739.21i	0.0680129	+	0.907570i	−0.853966	+	0.520329i	$0.825809\pi$
$258$	−79.3627	−	347.711i	−0.0191508	−	0.0839051i
$259$	861.077	+	2750.08i	0.206582	+	0.659774i
$260$	−430.078	+	1884.29i	−0.102586	+	0.449458i
$261$	−1211.21	−	182.560i	−0.287248	−	0.0432957i
$262$	1987.31	−	1354.93i	0.468613	−	0.319495i
$263$	−4165.02	+	7214.02i	−0.976525	+	1.69139i	−0.301715	+	0.953398i	$0.597559\pi$
$263$	−4165.02	+	7214.02i	−0.976525	+	1.69139i	−0.674810	+	0.737992i	$0.735774\pi$
$264$	−172.983	−	299.616i	−0.0403272	−	0.0698488i
$265$	8096.76	+	3899.19i	1.87690	+	0.903870i
$266$	−1317.46	−	93.1126i	−0.303680	−	0.0214628i
$267$	41.6771	−	20.0707i	0.00955281	−	0.00460039i
$268$	−898.692	−	612.718i	−0.204837	−	0.139656i
$269$	5218.13	+	4841.72i	1.18273	+	1.09742i	0.993305	+	0.115521i	$0.0368536\pi$
$269$	5218.13	+	4841.72i	1.18273	+	1.09742i	0.189427	+	0.981895i	$0.439337\pi$
$270$	−1093.08	−	1014.23i	−0.246380	−	0.228608i
$271$	3297.52	+	2248.21i	0.739151	+	0.503945i	0.873400	−	0.487003i	$-0.161910\pi$
$271$	3297.52	+	2248.21i	0.739151	+	0.503945i	−0.134249	+	0.990948i	$0.542862\pi$
$272$	−1095.15	+	527.399i	−0.244131	+	0.117567i
$273$	399.003	+	579.930i	0.0884570	+	0.128568i
$274$	2494.38	+	1201.23i	0.549967	+	0.264850i
$275$	1112.94	+	1927.66i	0.244046	+	0.422700i
$276$	−229.000	+	396.640i	−0.0499428	+	0.0865034i
$277$	−5269.94	+	3592.98i	−1.14310	+	0.779356i	−0.978346	−	0.206978i	$-0.933637\pi$
$277$	−5269.94	+	3592.98i	−1.14310	+	0.779356i	−0.164759	+	0.986334i	$0.552685\pi$
$278$	3981.97	+	600.186i	0.859075	+	0.129485i
$279$	−134.983	+	591.400i	−0.0289650	+	0.126904i
$280$	−1713.43	+	998.964i	−0.365704	+	0.213213i
$281$	43.8751	+	192.229i	0.00931447	+	0.0408094i	0.979372	−	0.202068i	$-0.0647660\pi$
$281$	43.8751	+	192.229i	0.00931447	+	0.0408094i	−0.970057	+	0.242877i	$0.921909\pi$
$282$	29.2582	+	390.423i	0.00617836	+	0.0824445i
$283$	−680.279	−	209.838i	−0.142892	−	0.0440763i	0.222484	−	0.974936i	$-0.428583\pi$
$283$	−680.279	−	209.838i	−0.142892	−	0.0440763i	−0.365376	+	0.930860i	$0.619060\pi$
$284$	−968.479	−	2467.65i	−0.202354	−	0.515591i
$285$	−480.298	+	148.152i	−0.0998261	+	0.0307923i
$286$	−1848.48	−	2317.92i	−0.382179	−	0.479237i
$287$	−1386.82	−	1096.36i	−0.285232	−	0.225492i
$288$	−516.572	+	647.761i	−0.105692	+	0.132534i
$289$	313.659	−	799.189i	0.0638426	−	0.162668i
$290$	−94.6538	+	1263.07i	−0.0191664	+	0.255758i
$291$	−422.869	+	63.7372i	−0.0851856	+	0.0128397i
$292$	−1896.46	+	1759.65i	−0.380074	+	0.352657i
$293$	−1722.66			−0.343477			−0.171738	−	0.985143i	$-0.554938\pi$
$293$	−1722.66			−0.343477			−0.171738	+	0.985143i	$0.554938\pi$
$294$	−154.763	+	705.598i	−0.0307005	+	0.139970i
$295$	8813.45			1.73945
$296$	912.496	−	846.673i	0.179182	−	0.166256i
$297$	2261.77	−	340.908i	0.441890	−	0.0666043i
$298$	−107.029	+	1428.20i	−0.0208054	+	0.277628i
$299$	−1433.89	+	3653.50i	−0.277338	+	0.706647i
$300$	−142.337	+	178.485i	−0.0273928	+	0.0343495i
$301$	1348.82	−	2831.51i	0.258288	−	0.542211i
$302$	108.203	+	135.682i	0.0206171	+	0.0258530i
$303$	41.6673	−	12.8527i	0.00790008	−	0.00243685i
$304$	208.431	+	531.073i	0.0393234	+	0.100194i
$305$	−11582.0	−	3572.58i	−2.17438	−	0.670707i
$306$	−293.983	−	3922.93i	−0.0549213	−	0.732873i
$307$	863.752	+	3784.35i	0.160576	+	0.703531i	0.989544	+	0.144234i	$0.0460718\pi$
$307$	863.752	+	3784.35i	0.160576	+	0.703531i	−0.828967	+	0.559297i	$0.811071\pi$
$308$	440.681	−	3010.31i	0.0815264	−	0.556910i
$309$	−191.284	+	838.071i	−0.0352161	+	0.154292i
$310$	620.266	+	93.4900i	0.113641	+	0.0171286i
$311$	8571.02	−	5843.63i	1.56276	−	1.06547i	0.598289	−	0.801280i	$-0.295847\pi$
$311$	8571.02	−	5843.63i	1.56276	−	1.06547i	0.964470	−	0.264191i	$-0.0851050\pi$
$312$	152.035	−	263.333i	0.0275875	−	0.0477830i
$313$	5373.64	+	9307.42i	0.970403	+	1.68079i	0.694339	+	0.719648i	$0.255697\pi$
$313$	5373.64	+	9307.42i	0.970403	+	1.68079i	0.276064	+	0.961139i	$0.410970\pi$
$314$	5748.89	+	2768.52i	1.03321	+	0.497568i
$315$	−983.613	−	6343.18i	−0.175938	−	1.13460i
$316$	−4133.51	+	1990.59i	−0.735849	+	0.354366i
$317$	8273.35	+	5640.67i	1.46586	+	0.999406i	0.992980	+	0.118280i	$0.0377379\pi$
$317$	8273.35	+	5640.67i	1.46586	+	0.999406i	0.472880	+	0.881127i	$0.343215\pi$
$318$	−1036.42	−	961.653i	−0.182765	−	0.169581i
$319$	−1424.25	−	1321.51i	−0.249978	−	0.231945i
$320$	707.870	+	482.618i	0.123660	+	0.0843098i
$321$	−789.954	+	380.422i	−0.137355	+	0.0661466i
$322$	−3742.92	+	1487.34i	−0.647779	+	0.257410i
$323$	−2440.61	−	1175.34i	−0.420431	−	0.202469i
$324$	−1280.83	−	2218.45i	−0.219620	−	0.380394i
$325$	−978.163	+	1694.23i	−0.166950	+	0.289166i
$326$	3014.00	−	2054.91i	0.512055	−	0.349113i
$327$	1958.66	+	295.220i	0.331235	+	0.0499257i
$328$	−169.926	+	744.492i	−0.0286054	+	0.125328i
$329$	−1927.41	+	2852.91i	−0.322983	+	0.478073i
$330$	−257.640	−	1128.79i	−0.0429776	−	0.188297i
$331$	−581.492	−	7759.48i	−0.0965611	−	1.28852i	−0.809428	−	0.587219i	$-0.800223\pi$
$331$	−581.492	−	7759.48i	−0.0965611	−	1.28852i	0.712867	−	0.701299i	$-0.247396\pi$
$332$	4692.42	+	1447.42i	0.775694	+	0.239270i
$333$	1471.82	+	3750.15i	0.242209	+	0.617138i
$334$	−3470.74	+	1070.58i	−0.568594	+	0.175388i
$335$	−2269.56	−	2845.94i	−0.370148	−	0.464151i
$336$	303.914	−	70.7240i	0.0493449	−	0.0114831i
$337$	−5135.72	+	6439.98i	−0.830149	+	1.04097i	0.168324	+	0.985732i	$0.446165\pi$
$337$	−5135.72	+	6439.98i	−0.830149	+	1.04097i	−0.998473	+	0.0552423i	$0.982407\pi$
$338$	−653.335	+	1664.67i	−0.105138	+	0.267888i
$339$	164.480	−	2194.83i	0.0263520	−	0.351643i
$340$	−4022.50	+	606.294i	−0.641619	+	0.0967085i
$341$	−705.343	+	654.463i	−0.112013	+	0.103933i
$342$	−1846.39			−0.291934
$343$	−4915.75	+	4023.56i	−0.773835	+	0.633387i
$344$	−1354.78			−0.212340
$345$	−1123.59	+	1042.54i	−0.175340	+	0.162692i
$346$	3299.06	−	497.253i	0.512596	−	0.0772615i
$347$	341.731	−	4560.08i	0.0528676	−	0.705469i	−0.906301	−	0.422633i	$-0.861106\pi$
$347$	341.731	−	4560.08i	0.0528676	−	0.705469i	0.959168	−	0.282836i	$-0.0912752\pi$
$348$	72.8013	−	185.495i	0.0112143	−	0.0285735i
$349$	2112.60	−	2649.11i	0.324025	−	0.406314i	−0.592963	−	0.805230i	$-0.702042\pi$
$349$	2112.60	−	2649.11i	0.324025	−	0.406314i	0.916988	+	0.398915i	$0.130613\pi$
$350$	−1955.32	+	455.023i	−0.298618	+	0.0694914i
$351$	1253.42	+	1571.74i	0.190606	+	0.239012i
$352$	−1255.80	+	387.364i	−0.190155	+	0.0586551i
$353$	−2874.18	−	7323.28i	−0.433363	−	1.10419i	−0.966159	−	0.257947i	$-0.916954\pi$
$353$	−2874.18	−	7323.28i	−0.433363	−	1.10419i	0.532797	−	0.846243i	$-0.321141\pi$
$354$	−1324.98	−	408.701i	−0.198931	−	0.0613622i
$355$	−662.972	−	8846.75i	−0.0991181	−	1.32264i
$356$	−39.1005	−	171.311i	−0.00582114	−	0.0255041i
$357$	−829.411	+	1227.68i	−0.122961	+	0.182005i
$358$	231.598	−	1014.70i	0.0341909	−	0.149800i
$359$	4922.83	+	741.997i	0.723724	+	0.109084i	0.500566	−	0.865698i	$-0.333125\pi$
$359$	4922.83	+	741.997i	0.723724	+	0.109084i	0.223158	+	0.974782i	$0.428363\pi$
$360$	−2290.95	+	1561.94i	−0.335399	+	0.228671i
$361$	2793.79	−	4838.99i	0.407318	−	0.705495i
$362$	−2285.46	−	3958.53i	−0.331826	−	0.574739i
$363$	337.386	+	162.476i	0.0487828	+	0.0234926i
$364$	2484.95	−	987.457i	0.357822	−	0.142189i
$365$	−7800.56	+	3756.55i	−1.11863	+	0.538704i
$366$	1575.52	+	1074.17i	0.225011	+	0.153410i
$367$	−4050.96	−	3758.75i	−0.576182	−	0.534618i	0.337354	−	0.941378i	$-0.390468\pi$
$367$	−4050.96	−	3758.75i	−0.576182	−	0.534618i	−0.913535	+	0.406760i	$0.866659\pi$
$368$	1275.34	+	1183.34i	0.180656	+	0.167625i
$369$	−2041.99	−	1392.21i	−0.288081	−	0.196411i
$370$	3753.31	−	1807.50i	0.527365	−	0.253966i
$371$	−1905.19	−	12286.3i	−0.266611	−	1.71933i
$372$	−88.9127	−	42.8181i	−0.0123922	−	0.00596778i
$373$	502.322	+	870.047i	0.0697299	+	0.120776i	0.898782	−	0.438395i	$-0.144453\pi$
$373$	502.322	+	870.047i	0.0697299	+	0.120776i	−0.829052	+	0.559171i	$0.811120\pi$
$374$	3119.99	−	5403.99i	0.431366	−	0.747149i
$375$	824.609	−	562.209i	0.113554	−	0.0774196i
$376$	1470.61	+	221.659i	0.201704	+	0.0304021i
$377$	379.983	−	1664.81i	0.0519101	−	0.227433i
$378$	−298.817	+	2041.23i	−0.0406600	+	0.277750i
$379$	−1177.34	−	5158.27i	−0.159567	−	0.699110i	−0.989891	−	0.141829i	$-0.954702\pi$
$379$	−1177.34	−	5158.27i	−0.159567	−	0.699110i	0.830324	−	0.557281i	$-0.188155\pi$
$380$	142.681	+	1903.95i	0.0192616	+	0.257028i
$381$	1770.84	+	546.233i	0.238118	+	0.0734498i
$382$	3444.68	+	8776.90i	0.461375	+	1.17556i
$383$	3146.61	−	970.600i	0.419802	−	0.129492i	−0.0776551	−	0.996980i	$-0.524743\pi$
$383$	3146.61	−	970.600i	0.419802	−	0.129492i	0.497457	+	0.867488i	$0.334267\pi$
$384$	−84.0380	−	105.380i	−0.0111681	−	0.0140043i
$385$	4378.75	−	9192.11i	0.579642	−	1.21681i
$386$	1812.17	−	2272.39i	0.238956	−	0.299641i
$387$	1601.88	−	4081.51i	0.210408	−	0.536111i
$388$	−121.396	+	1619.91i	−0.0158838	+	0.211955i
$389$	5319.60	−	801.800i	0.693353	−	0.104506i	0.207094	−	0.978321i	$-0.433599\pi$
$389$	5319.60	−	801.800i	0.693353	−	0.104506i	0.486259	+	0.873815i	$0.338361\pi$
$390$	745.963	−	692.152i	0.0968546	−	0.0898679i
$391$	−8260.68			−1.06844
$392$	2482.27	+	1169.56i	0.319830	+	0.150693i
$393$	−1266.39			−0.162547
$394$	6984.53	−	6480.70i	0.893085	−	0.828662i
$395$	−15182.4	+	2288.37i	−1.93394	+	0.291495i
$396$	317.845	−	4241.34i	0.0403341	−	0.538221i
$397$	−2772.64	+	7064.58i	−0.350516	+	0.893101i	0.641515	+	0.767110i	$0.278306\pi$
$397$	−2772.64	+	7064.58i	−0.350516	+	0.893101i	−0.992031	+	0.125991i	$0.959789\pi$
$398$	4939.33	−	6193.72i	0.622076	−	0.780058i
$399$	545.509	+	431.257i	0.0684452	+	0.0541099i
$400$	540.682	+	677.994i	0.0675853	+	0.0847493i
$401$	−9894.96	+	3052.19i	−1.23225	+	0.380097i	−0.841427	−	0.540370i	$-0.818284\pi$
$401$	−9894.96	+	3052.19i	−1.23225	+	0.380097i	−0.390818	+	0.920468i	$0.627808\pi$
$402$	209.223	+	533.092i	0.0259580	+	0.0661398i
$403$	−808.109	−	249.268i	−0.0998877	−	0.0308113i
$404$	−12.3780	−	165.173i	−0.00152433	−	0.0203408i
$405$	−1907.65	−	8357.96i	−0.234054	−	1.02546i
$406$	1513.85	−	882.606i	0.185052	−	0.107889i
$407$	−1421.95	+	6229.98i	−0.173178	+	0.758744i
$408$	632.840	+	95.3853i	0.0767898	+	0.0115742i
$409$	3219.88	−	2195.28i	0.389273	−	0.265402i	−0.352830	−	0.935687i	$-0.614781\pi$
$409$	3219.88	−	2195.28i	0.389273	−	0.265402i	0.742103	+	0.670285i	$0.233828\pi$
$410$	−1277.81	+	2213.23i	−0.153918	+	0.266594i
$411$	−728.834	−	1262.38i	−0.0874714	−	0.151505i
$412$	2942.00	+	1416.79i	0.351800	+	0.169418i
$413$	−6911.46	−	10045.4i	−0.823464	−	1.19686i
$414$	−5072.96	+	2443.01i	−0.602228	+	0.290018i
$415$	13578.4	+	9257.57i	1.60611	+	1.09503i
$416$	−846.706	−	785.629i	−0.0997913	−	0.0925928i
$417$	−1554.24	−	1442.12i	−0.182521	−	0.169355i
$418$	−2419.84	−	1649.82i	−0.283154	−	0.193051i
$419$	−7263.03	+	3497.69i	−0.846832	+	0.407813i	−0.806401	−	0.591370i	$-0.798587\pi$
$419$	−7263.03	+	3497.69i	−0.846832	+	0.407813i	−0.0404310	+	0.999182i	$0.512873\pi$
$420$	1041.67	+	73.6206i	0.121020	+	0.00855314i
$421$	1420.60	+	684.124i	0.164455	+	0.0791976i	0.514301	−	0.857610i	$-0.328052\pi$
$421$	1420.60	+	684.124i	0.164455	+	0.0791976i	−0.349845	+	0.936808i	$0.613766\pi$
$422$	3727.46	+	6456.16i	0.429976	+	0.744741i
$423$	−2406.61	+	4168.38i	−0.276628	+	0.479134i
$424$	−4437.40	+	3025.37i	−0.508253	+	0.346521i
$425$	−4071.56	−	613.689i	−0.464705	−	0.0700430i
$426$	−310.577	+	1360.73i	−0.0353228	+	0.154759i
$427$	5010.59	+	16002.6i	0.567867	+	1.81363i
$428$	741.116	+	3247.04i	0.0836991	+	0.366710i
$429$	116.651	+	1556.60i	0.0131281	+	0.175182i
$430$	−4332.52	−	1336.41i	−0.485890	−	0.149877i
$431$	1893.44	+	4824.40i	0.211610	+	0.539172i	0.996787	−	0.0800986i	$-0.0255235\pi$
$431$	1893.44	+	4824.40i	0.211610	+	0.539172i	−0.785177	+	0.619271i	$0.787428\pi$
$432$	851.536	−	262.664i	0.0948369	−	0.0292533i
$433$	7566.09	+	9487.58i	0.839730	+	1.05299i	0.997848	+	0.0655681i	$0.0208860\pi$
$433$	7566.09	+	9487.58i	0.839730	+	1.05299i	−0.158118	+	0.987420i	$0.550543\pi$
$434$	−379.850	−	780.284i	−0.0420125	−	0.0863015i
$435$	415.794	−	521.389i	0.0458294	−	0.0574683i
$436$	2748.90	−	7004.08i	0.301946	−	0.769345i
$437$	−289.740	+	3866.32i	−0.0317166	+	0.423229i
$438$	1346.90	−	203.013i	0.146935	−	0.0221469i
$439$	3670.84	−	3406.04i	0.399088	−	0.370299i	−0.454944	−	0.890520i	$-0.650341\pi$
$439$	3670.84	−	3406.04i	0.399088	−	0.370299i	0.854032	+	0.520221i	$0.174150\pi$
$440$	−4398.11			−0.476527
$441$	−6458.51	+	6095.39i	−0.697388	+	0.658179i
$442$	5484.33			0.590188
$443$	−2958.78	+	2745.34i	−0.317327	+	0.294436i	−0.822713	−	0.568457i	$-0.807541\pi$
$443$	−2958.78	+	2745.34i	−0.317327	+	0.294436i	0.505386	+	0.862893i	$0.331350\pi$
$444$	−648.074	+	97.6814i	−0.0692708	+	0.0104409i
$445$	43.9456	−	586.413i	0.00468140	−	0.0624689i
$446$	−3859.44	+	9833.69i	−0.409753	+	1.04403i
$447$	470.154	−	589.554i	0.0497483	−	0.0623825i
$448$	−5.02738	−	1185.29i	−0.000530182	−	0.124999i
$449$	−613.289	−	769.040i	−0.0644608	−	0.0808313i	0.748556	−	0.663072i	$-0.230748\pi$
$449$	−613.289	−	769.040i	−0.0644608	−	0.0808313i	−0.813017	+	0.582241i	$0.802176\pi$
$450$	−2681.87	+	827.248i	−0.280944	+	0.0866596i
$451$	−1432.20	−	3649.19i	−0.149534	−	0.381006i
$452$	−7989.23	−	2464.35i	−0.831376	−	0.256446i
$453$	−6.82827	−	91.1169i	−0.000708212	−	0.00945043i
$454$	560.136	+	2454.11i	0.0579041	+	0.253694i
$455$	8920.83	−	706.586i	0.919154	−	0.0728028i
$456$	66.8406	−	292.848i	0.00686425	−	0.0300742i
$457$	−5725.91	−	863.042i	−0.586098	−	0.0883401i	−0.150702	−	0.988579i	$-0.548153\pi$
$457$	−5725.91	−	863.042i	−0.586098	−	0.0883401i	−0.435396	+	0.900239i	$0.643392\pi$
$458$	1785.00	−	1216.99i	0.182113	−	0.124162i
$459$	−2115.61	+	3664.34i	−0.215137	+	0.372629i
$460$	2911.17	+	5042.30i	0.295074	+	0.511084i
$461$	10429.9	+	5022.76i	1.05373	+	0.507447i	0.878828	−	0.477139i	$-0.158326\pi$
$461$	10429.9	+	5022.76i	1.05373	+	0.507447i	0.174898	+	0.984587i	$0.444041\pi$
$462$	−1084.54	+	1178.85i	−0.109215	+	0.118712i
$463$	5584.87	−	2689.53i	0.560585	−	0.269964i	−0.132060	−	0.991242i	$-0.542159\pi$
$463$	5584.87	−	2689.53i	0.560585	−	0.269964i	0.692646	+	0.721278i	$0.256445\pi$
$464$	−625.418	−	426.403i	−0.0625739	−	0.0426622i
$465$	−242.101	−	224.637i	−0.0241444	−	0.0224028i
$466$	3041.78	+	2822.36i	0.302377	+	0.280565i
$467$	−7461.84	−	5087.39i	−0.739385	−	0.504104i	0.134093	−	0.990969i	$-0.457188\pi$
$467$	−7461.84	−	5087.39i	−0.739385	−	0.504104i	−0.873477	+	0.486865i	$0.838140\pi$
$468$	3367.98	−	1621.93i	0.332660	−	0.160201i
$469$	−1463.98	+	4818.59i	−0.144138	+	0.474417i
$470$	4484.28	+	2159.52i	0.440095	+	0.211938i
$471$	−1679.77	−	2909.45i	−0.164331	−	0.284629i
$472$	−2633.53	+	4561.41i	−0.256818	+	0.444821i
$473$	5746.36	−	3917.80i	0.558600	−	0.380847i
$474$	2388.57	+	360.019i	0.231457	+	0.0348865i
$475$	−430.038	+	1884.12i	−0.0415400	+	0.181999i
$476$	3845.46	+	4109.33i	0.370287	+	0.395695i
$477$	−3867.72	−	16945.6i	−0.371260	−	1.62660i
$478$	−624.992	−	8339.93i	−0.0598043	−	0.798033i
$479$	6989.79	+	2156.06i	0.666746	+	0.205664i	0.609609	−	0.792702i	$-0.291326\pi$
$479$	6989.79	+	2156.06i	0.666746	+	0.205664i	0.0571375	+	0.998366i	$0.481803\pi$
$480$	−164.798	−	419.899i	−0.0156708	−	0.0399285i
$481$	−5366.83	+	1655.45i	−0.508745	+	0.156927i
$482$	5431.23	+	6810.55i	0.513249	+	0.643594i
$483$	2069.39	+	463.099i	0.194949	+	0.0436268i
$484$	886.891	−	1112.13i	0.0832918	−	0.104445i
$485$	−1986.16	+	5060.65i	−0.185952	+	0.473798i
$486$	−325.546	+	4344.10i	−0.0303849	+	0.405458i
$487$	11717.0	−	1766.06i	1.09025	−	0.164328i	0.420774	−	0.907166i	$-0.361759\pi$
$487$	11717.0	−	1766.06i	1.09025	−	0.164328i	0.669472	+	0.742837i	$0.266520\pi$
$488$	5309.79	−	4926.77i	0.492547	−	0.457017i
$489$	−1920.63			−0.177615
$490$	6784.48	+	6188.81i	0.625493	+	0.570575i
$491$	7583.20			0.696996			0.348498	−	0.937310i	$-0.386692\pi$
$491$	7583.20			0.696996			0.348498	+	0.937310i	$0.386692\pi$
$492$	294.733	−	273.472i	0.0270073	−	0.0250591i
$493$	3553.96	−	535.673i	0.324670	−	0.0489361i
$494$	192.361	−	2566.88i	0.0175197	−	0.233784i
$495$	5200.27	−	13250.1i	0.472191	−	1.20312i
$496$	−233.726	+	293.083i	−0.0211585	+	0.0265319i
$497$	−9563.50	+	7693.22i	−0.863142	+	0.694342i
$498$	−1612.02	−	2021.40i	−0.145052	−	0.181890i
$499$	−9249.47	+	2853.08i	−0.829785	+	0.255955i	−0.680416	−	0.732826i	$-0.738201\pi$
$499$	−9249.47	+	2853.08i	−0.829785	+	0.255955i	−0.149370	+	0.988781i	$0.547725\pi$
$500$	−1385.05	−	3529.04i	−0.123882	−	0.315647i
$501$	1827.38	+	563.672i	0.162957	+	0.0502655i
$502$	571.736	+	7629.29i	0.0508323	+	0.678310i
$503$	−2600.00	−	11391.4i	−0.230474	−	1.00977i	−0.949248	−	0.314529i	$-0.898154\pi$
$503$	−2600.00	−	11391.4i	−0.230474	−	1.00977i	0.718774	−	0.695244i	$-0.244704\pi$
$504$	3576.82	+	1386.32i	0.316120	+	0.122523i
$505$	123.349	−	540.426i	0.0108692	−	0.0476210i
$506$	−8831.41	−	1331.12i	−0.775898	−	0.116948i
$507$	777.946	−	530.395i	0.0681455	−	0.0464608i
$508$	3519.74	−	6096.37i	0.307408	−	0.532446i
$509$	8199.41	+	14201.8i	0.714012	+	1.23671i	0.963339	+	0.268286i	$0.0864573\pi$
$509$	8199.41	+	14201.8i	0.714012	+	1.23671i	−0.249327	+	0.968419i	$0.580209\pi$
$510$	1929.70	+	929.294i	0.167546	+	0.0806860i
$511$	10398.8	+	5945.10i	0.900229	+	0.514669i
$512$	−461.296	+	222.148i	−0.0398176	+	0.0191751i
$513$	1640.85	+	1118.71i	0.141219	+	0.0962812i
$514$	−5497.44	−	5100.88i	−0.471754	−	0.437724i
$515$	8010.78	+	7432.92i	0.685432	+	0.635988i
$516$	589.360	+	401.819i	0.0502813	+	0.0342812i
$517$	−6878.65	+	3312.58i	−0.585150	+	0.281793i
$518$	−5003.48	−	2860.53i	−0.424402	−	0.242634i
$519$	−1582.65	−	762.162i	−0.133854	−	0.0644609i
$520$	−1932.75	−	3347.63i	−0.162994	−	0.282314i
$521$	−1078.78	+	1868.50i	−0.0907143	+	0.157122i	−0.907812	−	0.419378i	$-0.862248\pi$
$521$	−1078.78	+	1868.50i	−0.0907143	+	0.157122i	0.817098	+	0.576499i	$0.195582\pi$
$522$	2024.10	−	1380.01i	0.169717	−	0.115711i
$523$	10415.9	+	1569.95i	0.870856	+	0.131260i	0.569242	−	0.822170i	$-0.307237\pi$
$523$	10415.9	+	1569.95i	0.870856	+	0.131260i	0.301614	+	0.953430i	$0.402475\pi$
$524$	−1070.44	+	4689.90i	−0.0892411	+	0.390991i
$525$	985.565	+	381.990i	0.0819306	+	0.0317550i
$526$	−3707.21	−	16242.4i	−0.307305	−	1.34639i
$527$	−133.015	−	1774.96i	−0.0109947	−	0.146714i
$528$	661.193	+	203.951i	0.0544976	+	0.0168103i
$529$	−125.552	−	319.901i	−0.0103191	−	0.0262925i
$530$	−17174.9	+	5297.76i	−1.40761	+	0.434189i
$531$	−10628.2	−	13327.3i	−0.868594	−	1.08918i
$532$	2058.20	−	1655.69i	0.167734	−	0.134931i
$533$	2148.20	−	2693.76i	0.174576	−	0.218911i
$534$	−33.8000	+	86.1210i	−0.00273908	+	0.00697906i
$535$	−832.950	+	11115.0i	−0.0673114	+	0.898208i
$536$	2151.08	−	324.224i	0.173344	−	0.0261275i
$537$	−401.704	+	372.726i	−0.0322808	+	0.0299522i
$538$	−14236.7			−1.14087
$539$	−13910.8	+	2217.56i	−1.11165	+	0.177212i
$540$	2982.27			0.237660
$541$	−6884.72	+	6388.08i	−0.547130	+	0.507662i	−0.904599	−	0.426263i	$-0.859830\pi$
$541$	−6884.72	+	6388.08i	−0.547130	+	0.507662i	0.357470	+	0.933925i	$0.383639\pi$
$542$	−7892.85	+	1189.66i	−0.625511	+	0.0942806i
$543$	−179.848	+	2399.90i	−0.0142136	+	0.189668i
$544$	888.166	−	2263.01i	0.0699996	−	0.178356i
$545$	15699.9	−	19687.1i	1.23396	−	1.54734i
$546$	−1373.88	−	307.455i	−0.107687	−	0.0240987i
$547$	−6182.81	−	7752.99i	−0.483287	−	0.606022i	0.479082	−	0.877770i	$-0.340970\pi$
$547$	−6182.81	−	7752.99i	−0.483287	−	0.606022i	−0.962368	+	0.271748i	$0.912398\pi$
$548$	−5291.10	+	1632.09i	−0.412454	+	0.127225i
$549$	8564.51	+	21822.0i	0.665801	+	1.69643i
$550$	−4253.97	−	1312.18i	−0.329800	−	0.101730i
$551$	−126.062	−	1682.18i	−0.00974666	−	0.130060i
$552$	−203.830	−	893.036i	−0.0157166	−	0.0688589i
$553$	14514.2	+	15510.1i	1.11610	+	1.19269i
$554$	2838.58	−	12436.6i	0.217689	−	0.953758i
$555$	−2168.86	−	326.904i	−0.165880	−	0.0250023i
$556$	−6654.45	+	4536.92i	−0.507574	+	0.346058i
$557$	7899.17	−	13681.8i	0.600895	−	1.04078i	−0.391791	−	0.920054i	$-0.628144\pi$
$557$	7899.17	−	13681.8i	0.600895	−	1.04078i	0.992686	−	0.120726i	$-0.0385223\pi$
$558$	−606.609	−	1050.68i	−0.0460212	−	0.0797110i
$559$	5507.28	+	2652.17i	0.416696	+	0.200670i
$560$	1153.13	−	3795.45i	0.0870156	−	0.286405i
$561$	−2960.05	+	1425.49i	−0.222769	+	0.107280i
$562$	−325.824	−	222.143i	−0.0244556	−	0.0166735i
$563$	2414.22	+	2240.07i	0.180723	+	0.167687i	0.765347	−	0.643618i	$-0.222567\pi$
$563$	2414.22	+	2240.07i	0.180723	+	0.167687i	−0.584624	+	0.811305i	$0.698758\pi$
$564$	−574.006	−	532.599i	−0.0428546	−	0.0397633i
$565$	−23118.3	−	15761.8i	−1.72140	−	1.17363i
$566$	1282.81	−	617.770i	0.0952661	−	0.0458777i
$567$	−8030.31	+	8728.58i	−0.594782	+	0.646501i
$568$	4776.74	+	2300.36i	0.352865	+	0.169931i
$569$	7037.08	+	12188.6i	0.518471	+	0.898018i	0.999770	+	0.0214611i	$0.00683180\pi$
$569$	7037.08	+	12188.6i	0.518471	+	0.898018i	−0.481299	+	0.876556i	$0.659835\pi$
$570$	502.629	−	870.579i	0.0369347	−	0.0639729i
$571$	−2752.47	+	1876.61i	−0.201729	+	0.137537i	−0.659971	−	0.751291i	$-0.729432\pi$
$571$	−2752.47	+	1876.61i	−0.201729	+	0.137537i	0.458242	+	0.888827i	$0.348479\pi$
$572$	5863.25	+	883.742i	0.428592	+	0.0645999i
$573$	1104.66	−	4839.82i	0.0805370	−	0.352856i
$574$	3524.66	−	279.175i	0.256300	−	0.0203006i
$575$	1311.40	+	5745.60i	0.0951113	+	0.416710i
$576$	−123.830	−	1652.40i	−0.00895763	−	0.119531i
$577$	4284.99	+	1321.74i	0.309162	+	0.0953639i	0.445454	−	0.895305i	$-0.353042\pi$
$577$	4284.99	+	1321.74i	0.309162	+	0.0953639i	−0.136292	+	0.990669i	$0.543518\pi$
$578$	627.317	+	1598.38i	0.0451435	+	0.115024i
$579$	−1462.31	+	451.063i	−0.104959	+	0.0323757i
$580$	−1579.44	−	1980.55i	−0.113073	−	0.141789i
$581$	−96.4351	−	22736.1i	−0.00688606	−	1.62350i
$582$	533.265	−	668.693i	0.0379803	−	0.0476258i
$583$	10072.6	−	25664.5i	0.715545	−	1.82318i
$584$	386.664	−	5159.67i	0.0273977	−	0.365597i
$585$	12370.6	−	1864.56i	0.874290	−	0.131778i
$586$	2525.59	−	2343.41i	0.178040	−	0.165197i
$587$	−26058.9			−1.83231			−0.916154	−	0.400827i	$-0.868723\pi$
$587$	−26058.9			−1.83231			−0.916154	+	0.400827i	$0.868723\pi$
$588$	−732.959	−	1245.01i	−0.0514060	−	0.0873187i
$589$	−835.413			−0.0584424
$590$	−12921.4	+	11989.3i	−0.901639	+	0.836599i
$591$	−4960.56	+	747.684i	−0.345263	+	0.0520400i
$592$	−186.047	+	2482.62i	−0.0129163	+	0.172356i
$593$	1163.50	−	2964.54i	0.0805717	−	0.205293i	−0.884911	−	0.465760i	$-0.845781\pi$
$593$	1163.50	−	2964.54i	0.0805717	−	0.205293i	0.965483	+	0.260466i	$0.0838763\pi$
$594$	−2852.24	+	3576.60i	−0.197018	+	0.247053i
$595$	8244.01	+	16934.7i	0.568019	+	1.16682i
$596$	−1785.93	−	2239.48i	−0.122742	−	0.153914i
$597$	−3985.73	+	1229.44i	−0.273242	+	0.0842839i
$598$	−2867.79	−	7307.00i	−0.196108	−	0.499675i
$599$	17398.4	+	5366.68i	1.18677	+	0.366071i	0.824425	−	0.565971i	$-0.191499\pi$
$599$	17398.4	+	5366.68i	1.18677	+	0.366071i	0.362349	+	0.932043i	$0.381975\pi$
$600$	−34.1204	−	455.306i	−0.00232160	−	0.0309796i
$601$	2006.18	+	8789.63i	0.136162	+	0.596567i	0.996258	+	0.0864331i	$0.0275469\pi$
$601$	2006.18	+	8789.63i	0.136162	+	0.596567i	−0.860095	+	0.510134i	$0.829596\pi$
$602$	1874.32	+	5986.15i	0.126897	+	0.405278i
$603$	−1566.63	+	6863.87i	−0.105801	+	0.463546i
$604$	−343.211	−	51.7307i	−0.0231209	−	0.00348492i
$605$	3933.28	−	2681.66i	0.264315	−	0.180207i
$606$	−43.6045	+	75.5253i	−0.00292296	+	0.00506271i
$607$	−8949.88	−	15501.6i	−0.598459	−	1.03656i	−0.993049	−	0.117703i	$-0.962447\pi$
$607$	−8949.88	−	15501.6i	−0.598459	−	1.03656i	0.394590	−	0.918857i	$-0.370887\pi$
$608$	−1028.02	−	495.070i	−0.0685721	−	0.0330226i
$609$	−920.335	−	65.0453i	−0.0612379	−	0.00432803i
$610$	21840.4	−	10517.8i	1.44966	−	0.698119i
$611$	−5544.20	−	3779.97i	−0.367094	−	0.250280i
$612$	5767.56	+	5351.51i	0.380947	+	0.353467i
$613$	−11792.0	−	10941.3i	−0.776955	−	0.720909i	0.188331	−	0.982106i	$-0.439692\pi$
$613$	−11792.0	−	10941.3i	−0.776955	−	0.720909i	−0.965285	+	0.261197i	$0.915883\pi$
$614$	−6414.37	−	4373.24i	−0.421601	−	0.287443i
$615$	1212.30	−	583.815i	0.0794875	−	0.0382792i
$616$	3448.97	+	5012.90i	0.225589	+	0.327882i
$617$	2104.32	+	1013.39i	0.137304	+	0.0661222i	0.501274	−	0.865288i	$-0.332865\pi$
$617$	2104.32	+	1013.39i	0.137304	+	0.0661222i	−0.363970	+	0.931411i	$0.618579\pi$
$618$	−859.624	−	1488.91i	−0.0559533	−	0.0969140i
$619$	−5363.84	+	9290.44i	−0.348289	+	0.603254i	−0.985946	−	0.167067i	$-0.946570\pi$
$619$	−5363.84	+	9290.44i	−0.348289	+	0.603254i	0.637657	+	0.770321i	$0.279904\pi$
$620$	−1036.55	+	706.710i	−0.0671435	+	0.0457777i
$621$	5988.41	+	902.607i	0.386967	+	0.0583259i
$622$	−4616.66	+	20226.9i	−0.297607	+	1.30390i
$623$	−702.847	+	409.774i	−0.0451990	+	0.0263519i
$624$	135.324	+	592.894i	0.00868157	+	0.0380364i
$625$	−1454.42	−	19407.9i	−0.0930831	−	1.24211i
$626$	−20539.6	−	6335.63i	−1.31139	−	0.404509i
$627$	563.360	+	1435.42i	0.0358827	+	0.0914275i
$628$	−12194.6	+	3761.54i	−0.774869	+	0.239015i
$629$	−7370.23	−	9241.98i	−0.467203	−	0.585854i
$630$	10071.0	+	7961.70i	0.636886	+	0.503495i
$631$	4016.58	−	5036.64i	0.253404	−	0.317758i	−0.638816	−	0.769359i	$-0.720576\pi$
$631$	4016.58	−	5036.64i	0.253404	−	0.317758i	0.892220	+	0.451601i	$0.149147\pi$
$632$	3352.26	−	8541.42i	0.210990	−	0.537594i
$633$	293.322	−	3914.11i	0.0184179	−	0.245769i
$634$	−19802.9	+	2984.80i	−1.24049	+	0.186974i
$635$	17269.6	−	16023.9i	1.07925	−	1.00140i
$636$	2827.67			0.176297
$637$	−7801.02	−	9613.73i	−0.485224	−	0.597974i
$638$	3885.82			0.241130
$639$	−12578.2	+	11670.9i	−0.778694	+	0.722522i
$640$	−1694.34	+	255.380i	−0.104648	+	0.0157731i
$641$	820.958	−	10954.9i	0.0505864	−	0.675029i	−0.913056	−	0.407834i	$-0.866284\pi$
$641$	820.958	−	10954.9i	0.0505864	−	0.675029i	0.963643	−	0.267195i	$-0.0860967\pi$
$642$	640.649	−	1632.35i	0.0393838	−	0.100348i
$643$	−9816.42	+	12309.4i	−0.602056	+	0.754954i	−0.985697	−	0.168528i	$-0.946099\pi$
$643$	−9816.42	+	12309.4i	−0.602056	+	0.754954i	0.383641	+	0.923482i	$0.374670\pi$
$644$	3464.21	−	7272.26i	0.211971	−	0.444980i
$645$	1488.38	+	1866.36i	0.0908601	+	0.113935i
$646$	5177.05	−	1596.91i	0.315307	−	0.0972594i
$647$	3145.55	+	8014.73i	0.191135	+	0.487004i	0.994029	−	0.109118i	$-0.0348027\pi$
$647$	3145.55	+	8014.73i	0.191135	+	0.487004i	−0.802894	+	0.596122i	$0.796707\pi$
$648$	4895.69	+	1510.12i	0.296791	+	0.0915480i
$649$	−2020.61	−	26963.1i	−0.122212	−	1.63081i
$650$	−870.647	−	3814.55i	−0.0525378	−	0.230183i
$651$	−66.1836	+	452.102i	−0.00398454	+	0.0272186i
$652$	−1623.45	+	7112.79i	−0.0975141	+	0.427237i
$653$	21277.0	+	3207.00i	1.27509	+	0.192189i	0.751473	−	0.659764i	$-0.229344\pi$
$653$	21277.0	+	3207.00i	1.27509	+	0.192189i	0.523618	+	0.851953i	$0.324582\pi$
$654$	−3273.20	+	2231.63i	−0.195707	+	0.133430i
$655$	−8049.50	+	13942.1i	−0.480183	+	0.831702i
$656$	−763.638	−	1322.66i	−0.0454498	−	0.0787214i
$657$	15087.2	+	7265.62i	0.895904	+	0.431444i
$658$	−1055.16	−	6804.60i	−0.0625146	−	0.403147i
$659$	−18319.7	+	8822.29i	−1.08290	+	0.521499i	−0.888244	−	0.459372i	$-0.848074\pi$
$659$	−18319.7	+	8822.29i	−1.08290	+	0.521499i	−0.194659	+	0.980871i	$0.562360\pi$
$660$	1913.28	+	1304.45i	0.112840	+	0.0769328i
$661$	3764.87	+	3493.29i	0.221538	+	0.205557i	0.783131	−	0.621856i	$-0.213621\pi$
$661$	3764.87	+	3493.29i	0.221538	+	0.205557i	−0.561594	+	0.827413i	$0.689812\pi$
$662$	11408.1	+	10585.2i	0.669771	+	0.621457i
$663$	−2385.81	−	1626.62i	−0.139754	−	0.0952829i
$664$	−8848.57	+	4261.25i	−0.517156	+	0.249049i
$665$	8215.27	−	3264.53i	0.479059	−	0.190366i
$666$	−7259.34	−	3495.92i	−0.422363	−	0.203399i
$667$	−2572.08	−	4454.98i	−0.149312	−	0.258617i
$668$	3632.11	−	6290.99i	0.210375	−	0.364380i
$669$	4595.55	−	3133.19i	0.265582	−	0.181071i
$670$	7198.88	+	1085.06i	0.415100	+	0.0625663i
$671$	−8274.31	+	36252.1i	−0.476045	+	2.08569i
$672$	−349.361	+	517.117i	−0.0200549	+	0.0296849i
$673$	3047.25	+	13350.9i	0.174536	+	0.764694i	0.984093	+	0.177653i	$0.0568503\pi$
$673$	3047.25	+	13350.9i	0.174536	+	0.764694i	−0.809557	+	0.587041i	$0.800293\pi$
$674$	−1231.11	−	16428.0i	−0.0703570	−	0.938849i
$675$	2884.54	+	889.761i	0.164483	+	0.0507362i
$676$	−1306.67	−	3329.34i	−0.0743440	−	0.189425i
$677$	1019.71	−	314.538i	0.0578886	−	0.0178563i	−0.265676	−	0.964062i	$-0.585595\pi$
$677$	1019.71	−	314.538i	0.0578886	−	0.0178563i	0.323564	+	0.946206i	$0.395119\pi$
$678$	2744.59	+	3441.60i	0.155465	+	0.194947i
$679$	7325.59	−	1704.74i	0.414036	−	0.0963503i
$680$	5072.63	−	6360.88i	0.286068	−	0.358718i
$681$	484.202	−	1233.73i	0.0272462	−	0.0694222i
$682$	143.811	−	1919.02i	0.00807448	−	0.107747i
$683$	8331.85	−	1255.82i	0.466778	−	0.0703555i	0.0885577	−	0.996071i	$-0.471774\pi$
$683$	8331.85	−	1255.82i	0.466778	−	0.0703555i	0.378220	+	0.925716i	$0.376536\pi$
$684$	2707.01	−	2511.73i	0.151323	−	0.140407i
$685$	−18530.6			−1.03361
$686$	1733.56	−	12586.1i	0.0964835	−	0.700493i
$687$	−1137.47			−0.0631689
$688$	1986.25	−	1842.97i	0.110065	−	0.102126i
$689$	23960.9	−	3611.53i	1.32487	−	0.199693i
$690$	229.087	−	3056.95i	0.0126394	−	0.168661i
$691$	−122.936	+	313.235i	−0.00676800	+	0.0172446i	−0.934218	−	0.356703i	$-0.883901\pi$
$691$	−122.936	+	313.235i	−0.00676800	+	0.0172446i	0.927450	+	0.373948i	$0.121996\pi$
$692$	−4160.32	+	5216.88i	−0.228543	+	0.286584i
$693$	−19180.3	+	4463.44i	−1.05137	+	0.244664i
$694$	5702.27	+	7150.42i	0.311895	+	0.391104i
$695$	−25756.0	+	7944.67i	−1.40573	+	0.433609i
$696$	145.603	+	370.989i	0.00792968	+	0.0202045i
$697$	6929.58	+	2137.49i	0.376581	+	0.116160i
$698$	506.422	+	6757.74i	0.0274618	+	0.366453i
$699$	−486.150	−	2129.96i	−0.0263060	−	0.115254i
$700$	2247.71	−	3327.02i	0.121365	−	0.179642i
$701$	4757.12	−	20842.3i	0.256311	−	1.12297i	−0.668851	−	0.743397i	$-0.733213\pi$
$701$	4757.12	−	20842.3i	0.256311	−	1.12297i	0.925161	−	0.379574i	$-0.123929\pi$
$702$	−3975.75	−	599.248i	−0.213754	−	0.0322182i
$703$	−4584.11	+	3125.39i	−0.245936	+	0.167676i
$704$	1314.19	−	2276.24i	0.0703557	−	0.121860i
$705$	−1310.27	−	2269.45i	−0.0699964	−	0.121237i
$706$	14176.0	+	6826.82i	0.755697	+	0.363925i
$707$	−712.698	+	283.208i	−0.0379120	+	0.0150652i
$708$	2498.53	−	1203.23i	0.132628	−	0.0638701i
$709$	9198.22	+	6271.24i	0.487230	+	0.332188i	0.781892	−	0.623414i	$-0.214255\pi$
$709$	9198.22	+	6271.24i	0.487230	+	0.332188i	−0.294662	+	0.955602i	$0.595207\pi$
$710$	13006.6	+	12068.4i	0.687507	+	0.637913i
$711$	21768.8	+	20198.5i	1.14824	+	1.06541i
$712$	290.367	+	197.969i	0.0152837	+	0.0104202i
$713$	−2295.29	+	1105.35i	−0.120560	+	0.0580587i
$714$	−454.064	−	2928.19i	−0.0237996	−	0.153480i
$715$	17878.6	+	8609.89i	0.935136	+	0.450338i
$716$	1040.79	+	1802.71i	0.0543244	+	0.0940927i
$717$	−2201.68	+	3813.43i	−0.114677	+	0.198626i
$718$	−8226.75	+	5608.90i	−0.427604	+	0.291535i
$719$	24863.9	+	3747.63i	1.28966	+	0.194385i	0.757823	−	0.652461i	$-0.226263\pi$
$719$	24863.9	+	3747.63i	1.28966	+	0.194385i	0.531839	+	0.846846i	$0.321501\pi$
$720$	1233.99	−	5406.45i	0.0638721	−	0.279842i
$721$	2189.92	−	14959.4i	0.113116	−	0.772702i
$722$	2486.71	+	10895.0i	0.128180	+	0.561592i
$723$	−342.745	−	4573.61i	−0.0176304	−	0.235262i
$724$	8735.68	+	2694.60i	0.448424	+	0.138320i
$725$	−936.776	−	2386.87i	−0.0479876	−	0.122270i
$726$	−715.667	+	220.754i	−0.0365852	+	0.0112851i
$727$	−21710.1	−	27223.6i	−1.10754	−	1.38881i	−0.913019	−	0.407916i	$-0.866256\pi$
$727$	−21710.1	−	27223.6i	−1.10754	−	1.38881i	−0.194523	−	0.980898i	$-0.562316\pi$
$728$	−2299.92	+	4828.11i	−0.117089	+	0.245799i
$729$	−9350.80	+	11725.5i	−0.475070	+	0.595719i
$730$	6326.23	−	16119.0i	0.320745	−	0.817246i
$731$	−961.436	+	12829.5i	−0.0486457	+	0.649132i
$732$	−3771.13	+	568.406i	−0.190416	+	0.0287007i
$733$	−21804.0	+	20231.1i	−1.09870	+	1.01944i	−0.0989970	+	0.995088i	$0.531563\pi$
$733$	−21804.0	+	20231.1i	−1.09870	+	1.01944i	−0.999703	+	0.0243572i	$0.992246\pi$
$734$	11052.3			0.555789
$735$	−1115.84	−	4704.50i	−0.0559978	−	0.236093i
$736$	−3479.53			−0.174262
$737$	−8186.31	+	7595.78i	−0.409154	+	0.379639i
$738$	4887.66	−	736.696i	0.243790	−	0.0367455i
$739$	−808.730	+	10791.8i	−0.0402566	+	0.537187i	0.940222	+	0.340562i	$0.110617\pi$
$739$	−808.730	+	10791.8i	−0.0402566	+	0.537187i	−0.980479	+	0.196625i	$0.937002\pi$
$740$	−3043.92	+	7755.77i	−0.151212	+	0.385281i
$741$	−845.000	+	1059.60i	−0.0418919	+	0.0525307i
$742$	19506.8	+	15421.3i	0.965117	+	0.762981i
$743$	10558.0	+	13239.3i	0.521311	+	0.653704i	0.970887	−	0.239539i	$-0.0769962\pi$
$743$	10558.0	+	13239.3i	0.521311	+	0.653704i	−0.449576	+	0.893242i	$0.648425\pi$
$744$	188.603	−	58.1762i	0.00929369	−	0.00286672i
$745$	−3502.20	−	8923.46i	−0.172229	−	0.438833i
$746$	−1920.02	−	592.248i	−0.0942319	−	0.0290667i
$747$	−2375.31	−	31696.3i	−0.116343	−	1.55249i
$748$	2777.06	+	12167.1i	0.135748	+	0.594749i
$749$	13321.9	−	7766.90i	0.649893	−	0.378900i
$750$	−444.164	+	1946.01i	−0.0216248	+	0.0947443i
$751$	−21215.4	−	3197.70i	−1.03084	−	0.155374i	−0.388225	−	0.921564i	$-0.626912\pi$
$751$	−21215.4	−	3197.70i	−1.03084	−	0.155374i	−0.642614	+	0.766190i	$0.722150\pi$
$752$	−2457.60	+	1675.56i	−0.119175	+	0.0812519i
$753$	2014.08	−	3488.49i	0.0974729	−	0.168828i
$754$	1707.63	+	2957.70i	0.0824776	+	0.142855i
$755$	−1046.54	−	503.988i	−0.0504471	−	0.0242940i
$756$	−2338.68	−	3399.15i	−0.112509	−	0.163526i
$757$	17461.6	−	8409.07i	0.838379	−	0.403742i	0.0351283	−	0.999383i	$-0.488816\pi$
$757$	17461.6	−	8409.07i	0.838379	−	0.403742i	0.803251	+	0.595641i	$0.203102\pi$
$758$	8743.14	+	5960.97i	0.418951	+	0.285636i
$759$	3447.06	+	3198.41i	0.164849	+	0.152958i
$760$	−2799.21	−	2597.29i	−0.133603	−	0.123965i
$761$	−366.475	−	249.859i	−0.0174569	−	0.0119019i	0.554560	−	0.832144i	$-0.312887\pi$
$761$	−366.475	−	249.859i	−0.0174569	−	0.0119019i	−0.572017	+	0.820242i	$0.693839\pi$
$762$	−3339.31	+	1608.13i	−0.158754	+	0.0764518i
$763$	−34750.8	−	2456.04i	−1.64884	−	0.116533i
$764$	−16989.9	−	8181.90i	−0.804545	−	0.387448i
$765$	13165.4	+	22803.2i	0.622219	+	1.07771i
$766$	−3292.90	+	5703.48i	−0.155323	+	0.269027i
$767$	19635.0	−	13386.9i	0.924355	−	0.630215i
$768$	266.562	+	40.1777i	0.0125244	+	0.00188775i
$769$	−8905.95	+	39019.5i	−0.417629	+	1.82975i	0.128061	+	0.991766i	$0.459125\pi$
$769$	−8905.95	+	39019.5i	−0.417629	+	1.82975i	−0.545690	+	0.837987i	$0.683732\pi$
$770$	6084.74	+	19433.2i	0.284778	+	0.909512i
$771$	878.623	+	3849.50i	0.0410413	+	0.179814i
$772$	434.405	+	5796.73i	0.0202520	+	0.270245i
$773$	16086.0	+	4961.86i	0.748476	+	0.230874i	0.645448	−	0.763804i	$-0.276671\pi$
$773$	16086.0	+	4961.86i	0.748476	+	0.230874i	0.103028	+	0.994678i	$0.467147\pi$
$774$	3203.75	+	8163.03i	0.148781	+	0.379088i
$775$	−1213.43	+	374.293i	−0.0562421	+	0.0173484i
$776$	−2025.66	−	2540.10i	−0.0937074	−	0.117505i
$777$	1328.21	+	2728.40i	0.0613247	+	0.125973i
$778$	−6708.36	+	8412.01i	−0.309134	+	0.387642i
$779$	1243.48	−	3168.34i	0.0571917	−	0.145722i
$780$	−152.093	+	2029.53i	−0.00698178	+	0.0931653i
$781$	−26913.0	+	4056.48i	−1.23306	+	0.185854i
$782$	12111.0	−	11237.4i	0.553822	−	0.513872i
$783$	−2634.90			−0.120260
$784$	−5230.27	+	1662.04i	−0.238260	+	0.0757126i
$785$	−42708.3			−1.94181
$786$	1856.66	−	1722.73i	0.0842554	−	0.0781776i
$787$	−13901.9	+	2095.37i	−0.629669	+	0.0949073i	−0.456120	−	0.889918i	$-0.650761\pi$
$787$	−13901.9	+	2095.37i	−0.629669	+	0.0949073i	−0.173548	+	0.984825i	$0.555523\pi$
$788$	−1424.06	+	19002.8i	−0.0643782	+	0.859067i
$789$	−3204.66	+	8165.33i	−0.144599	+	0.368433i
$790$	19145.9	−	24008.2i	0.862256	−	1.08123i
$791$	164.189	+	38710.1i	0.00738037	+	1.74004i
$792$	5303.70	+	6650.63i	0.237953	+	0.298383i
$793$	−31229.5	+	9633.02i	−1.39848	+	0.431373i
$794$	−5545.29	−	14129.2i	−0.247852	−	0.631518i
$795$	9042.76	+	2789.32i	0.403414	+	0.124437i
$796$	1184.03	+	15799.8i	0.0527223	+	0.703530i
$797$	−7340.57	−	32161.2i	−0.326244	−	1.42937i	−0.826229	−	0.563334i	$-0.809518\pi$
$797$	−7340.57	−	32161.2i	−0.326244	−	1.42937i	0.499985	−	0.866034i	$-0.333339\pi$
$798$	−1386.43	+	109.814i	−0.0615027	+	0.00487140i
$799$	3142.69	−	13769.0i	0.139150	−	0.609654i
$800$	−1715.00	−	258.495i	−0.0757931	−	0.0114240i
$801$	−939.743	+	640.706i	−0.0414534	+	0.0282624i
$802$	10355.0	−	17935.4i	0.455920	−	0.789676i
$803$	13280.9	+	23003.1i	0.583651	+	1.01091i
$804$	−1031.93	−	496.952i	−0.0452655	−	0.0217987i
$805$	18252.0	−	19839.1i	0.799129	−	0.868616i
$806$	1523.86	−	733.853i	0.0665952	−	0.0320706i
$807$	6193.30	+	4222.52i	0.270154	+	0.184188i
$808$	242.840	+	225.323i	0.0105731	+	0.00981042i
$809$	−28823.9	−	26744.7i	−1.25265	−	1.16229i	−0.979745	−	0.200250i	$-0.935824\pi$
$809$	−28823.9	−	26744.7i	−1.25265	−	1.16229i	−0.272907	−	0.962040i	$-0.587985\pi$
$810$	14166.5	+	9658.58i	0.614520	+	0.418973i
$811$	33445.0	−	16106.3i	1.44811	−	0.697371i	0.465841	−	0.884869i	$-0.345752\pi$
$811$	33445.0	−	16106.3i	1.44811	−	0.697371i	0.982265	+	0.187498i	$0.0600377\pi$
$812$	−1018.82	+	3353.35i	−0.0440313	+	0.144926i
$813$	3786.41	+	1823.44i	0.163340	+	0.0786603i
$814$	−6390.20	−	11068.1i	−0.275155	−	0.476583i
$815$	−12208.0	+	21144.9i	−0.524698	+	0.908803i
$816$	−1057.57	+	721.036i	−0.0453704	+	0.0309330i
$817$	5970.96	+	899.978i	0.255689	+	0.0385388i
$818$	−1734.34	+	7598.65i	−0.0741319	+	0.324793i
$819$	−11826.1	−	12637.6i	−0.504565	−	0.539186i
$820$	−1137.36	−	4983.08i	−0.0484368	−	0.212216i
$821$	−67.2871	−	897.884i	−0.00286034	−	0.0381685i	0.995591	−	0.0938007i	$-0.0299016\pi$
$821$	−67.2871	−	897.884i	−0.00286034	−	0.0381685i	−0.998451	+	0.0556321i	$0.982283\pi$
$822$	2785.82	+	859.311i	0.118207	+	0.0364622i
$823$	−16551.2	−	42171.7i	−0.701018	−	1.78616i	−0.613055	−	0.790040i	$-0.710060\pi$
$823$	−16551.2	−	42171.7i	−0.701018	−	1.78616i	−0.0879628	−	0.996124i	$-0.528036\pi$
$824$	−6240.59	+	1924.97i	−0.263837	+	0.0813828i
$825$	1461.39	+	1832.53i	0.0616716	+	0.0773338i
$826$	23798.2	+	5325.69i	1.00248	+	0.224339i
$827$	15486.1	−	19418.9i	0.651152	−	0.816519i	−0.341196	−	0.939992i	$-0.610832\pi$
$827$	15486.1	−	19418.9i	0.651152	−	0.816519i	0.992348	+	0.123473i	$0.0394033\pi$
$828$	4114.15	−	10482.7i	0.172677	−	0.439974i
$829$	2799.30	−	37354.0i	0.117278	−	1.56497i	−0.559530	−	0.828810i	$-0.689019\pi$
$829$	2799.30	−	37354.0i	0.117278	−	1.56497i	0.676809	−	0.736159i	$-0.263362\pi$
$830$	−32500.8	+	4898.70i	−1.35918	+	0.204863i
$831$	−4923.47	+	4568.31i	−0.205527	+	0.190701i
$832$	2310.09			0.0962594
$833$	12837.1	−	22676.5i	0.533947	−	0.943212i
$834$	4240.46			0.176061
$835$	17821.0	−	16535.4i	0.738587	−	0.685308i
$836$	5792.06	−	873.013i	0.239620	−	0.0361170i
$837$	−97.5153	+	1301.25i	−0.00402703	+	0.0537369i
$838$	5890.29	−	15008.2i	0.242812	−	0.618676i
$839$	13482.3	−	16906.3i	0.554782	−	0.695674i	−0.422802	−	0.906222i	$-0.638953\pi$
$839$	13482.3	−	16906.3i	0.554782	−	0.695674i	0.977584	+	0.210548i	$0.0675248\pi$
$840$	−1627.34	+	1309.09i	−0.0668436	+	0.0537714i
$841$	−13810.8	−	17318.2i	−0.566273	−	0.710084i
$842$	−3013.39	+	929.508i	−0.123335	+	0.0380439i
$843$	75.8545	+	193.274i	0.00309913	+	0.00789646i
$844$	−14247.5	−	4394.76i	−0.581063	−	0.179234i
$845$	−894.481	−	11936.0i	−0.0364155	−	0.485931i
$846$	−2142.09	−	9385.10i	−0.0870526	−	0.381403i
$847$	−6140.97	−	2380.15i	−0.249122	−	0.0965558i
$848$	2390.14	−	10471.9i	0.0967900	−	0.424064i
$849$	−741.279	−	111.730i	−0.0299654	−	0.00451656i
$850$	6804.15	−	4638.99i	0.274565	−	0.187196i
$851$	−8459.53	+	14652.3i	−0.340763	+	0.590218i
$852$	−1395.72	−	2417.46i	−0.0561227	−	0.0972074i
$853$	7098.82	+	3418.61i	0.284946	+	0.137223i	0.570898	−	0.821021i	$-0.306595\pi$
$853$	7098.82	+	3418.61i	0.284946	+	0.137223i	−0.285951	+	0.958244i	$0.592310\pi$
$854$	−29115.1	−	16645.4i	−1.16663	−	0.666971i
$855$	11134.5	−	5362.11i	0.445372	−	0.214480i
$856$	−5503.65	−	3752.33i	−0.219756	−	0.149827i
$857$	−15169.4	−	14075.1i	−0.604639	−	0.561023i	0.317316	−	0.948320i	$-0.397218\pi$
$857$	−15169.4	−	14075.1i	−0.604639	−	0.561023i	−0.921955	+	0.387297i	$0.873409\pi$
$858$	−2288.53	−	2123.45i	−0.0910597	−	0.0844910i
$859$	6156.89	+	4197.70i	0.244552	+	0.166733i	0.679393	−	0.733774i	$-0.262243\pi$
$859$	6156.89	+	4197.70i	0.244552	+	0.166733i	−0.434841	+	0.900507i	$0.643195\pi$
$860$	8169.90	−	3934.42i	0.323944	−	0.156003i
$861$	−1616.11	−	923.942i	−0.0639684	−	0.0365713i
$862$	−9338.83	−	4497.34i	−0.369004	−	0.177703i
$863$	11798.7	+	20436.0i	0.465392	+	0.806083i	0.999219	−	0.0395110i	$-0.0125800\pi$
$863$	11798.7	+	20436.0i	0.465392	+	0.806083i	−0.533827	+	0.845594i	$0.679247\pi$
$864$	−891.126	+	1543.48i	−0.0350888	+	0.0607756i
$865$	−18450.6	+	12579.4i	−0.725249	+	0.494466i
$866$	−23999.1	−	3617.28i	−0.941710	−	0.141940i
$867$	201.171	−	881.389i	0.00788020	−	0.0345254i
$868$	1618.36	+	627.250i	0.0632841	+	0.0245279i
$869$	10481.6	+	45923.0i	0.409165	+	1.79267i
$870$	99.6723	+	1330.03i	0.00388415	+	0.0518303i
$871$	−9379.01	−	2893.04i	−0.364863	−	0.112545i
$872$	5497.80	+	14008.2i	0.213508	+	0.544009i
$873$	10047.6	−	3099.28i	0.389530	−	0.120154i
$874$	−4834.74	−	6062.57i	−0.187114	−	0.234633i
$875$	−13677.0	+	11002.3i	−0.528420	+	0.425080i
$876$	−1698.53	+	2129.89i	−0.0655115	+	0.0821488i
$877$	9139.42	−	23286.9i	0.351900	−	0.896627i	−0.639857	−	0.768494i	$-0.721006\pi$
$877$	9139.42	−	23286.9i	0.351900	−	0.896627i	0.991757	−	0.128133i	$-0.0408984\pi$
$878$	−748.438	+	9987.21i	−0.0287683	+	0.383886i
$879$	−1793.73	+	270.361i	−0.0688293	+	0.0103743i
$880$	6448.09	−	5982.95i	0.247006	−	0.229188i
$881$	30046.7			1.14903			0.574517	−	0.818493i	$-0.305190\pi$
$881$	30046.7			1.14903			0.574517	+	0.818493i	$0.305190\pi$
$882$	1177.01	−	17722.3i	0.0449343	−	0.676576i
$883$	16008.3			0.610105			0.305052	−	0.952336i	$-0.401326\pi$
$883$	16008.3			0.610105			0.305052	+	0.952336i	$0.401326\pi$
$884$	−8040.60	+	7460.59i	−0.305922	+	0.283854i
$885$	9177.08	−	1383.22i	0.348570	−	0.0525384i
$886$	603.258	−	8049.92i	0.0228746	−	0.305240i
$887$	−16827.1	+	42874.7i	−0.636976	+	1.62299i	0.137586	+	0.990490i	$0.456066\pi$
$887$	−16827.1	+	42874.7i	−0.636976	+	1.62299i	−0.774562	+	0.632498i	$0.782029\pi$
$888$	817.263	−	1024.82i	0.0308846	−	0.0387281i
$889$	−31806.5	−	7117.84i	−1.19995	−	0.268532i
$890$	733.296	+	919.524i	0.0276181	+	0.0346320i
$891$	−25132.3	+	7752.28i	−0.944964	+	0.291483i
$892$	−7718.88	−	19667.4i	−0.289739	−	0.738243i
$893$	−6334.21	−	1953.84i	−0.237364	−	0.0732171i
$894$	112.703	+	1503.92i	0.00421628	+	0.0562624i
$895$	1550.15	+	6791.65i	0.0578947	+	0.253653i
$896$	1619.77	+	1730.91i	0.0603936	+	0.0645377i
$897$	−919.656	+	4029.28i	−0.0342323	+	0.149982i
$898$	1945.31	+	293.208i	0.0722892	+	0.0108958i
$899$	915.816	−	624.392i	0.0339757	−	0.0231642i
$900$	2806.56	−	4861.10i	0.103947	−	0.180041i
$901$	25500.5	+	44168.2i	0.942892	+	1.63314i
$902$	7063.92	+	3401.80i	0.260757	+	0.125574i
$903$	960.078	−	3160.02i	0.0353814	−	0.116455i
$904$	15065.4	−	7255.12i	0.554279	−	0.266927i
$905$	25278.2	+	17234.4i	0.928482	+	0.633028i
$906$	133.961	+	124.298i	0.00491233	+	0.00455797i
$907$	−12842.6	−	11916.2i	−0.470155	−	0.436240i	0.409173	−	0.912457i	$-0.365817\pi$
$907$	−12842.6	−	11916.2i	−0.470155	−	0.436240i	−0.879328	+	0.476217i	$0.842008\pi$
$908$	−4159.66	−	2836.01i	−0.152030	−	0.103652i
$909$	−965.954	+	465.179i	−0.0352461	+	0.0169736i
$910$	−12117.7	+	13171.3i	−0.441425	+	0.479808i
$911$	−18639.3	−	8976.22i	−0.677879	−	0.326449i	0.0630714	−	0.998009i	$-0.479910\pi$
$911$	−18639.3	−	8976.22i	−0.677879	−	0.326449i	−0.740951	+	0.671560i	$0.765625\pi$
$912$	300.379	+	520.271i	0.0109063	+	0.0188903i
$913$	25208.8	−	43662.9i	0.913788	−	1.58273i
$914$	9568.81	−	6523.91i	0.346289	−	0.236096i
$915$	−12620.6	−	1902.25i	−0.455982	−	0.0687282i
$916$	−961.465	+	4212.45i	−0.0346809	+	0.151947i
$917$	22203.4	−	1758.65i	0.799587	−	0.0633323i
$918$	−1883.07	−	8250.26i	−0.0677020	−	0.296622i
$919$	−3363.89	−	44888.0i	−0.120745	−	1.61123i	−0.648081	−	0.761571i	$-0.724428\pi$
$919$	−3363.89	−	44888.0i	−0.120745	−	1.61123i	0.527336	−	0.849657i	$-0.323191\pi$
$920$	−11127.4	−	3432.33i	−0.398759	−	0.123001i
$921$	1493.32	+	3804.92i	0.0534273	+	0.136131i
$922$	−22124.0	+	6824.34i	−0.790254	+	0.243761i
$923$	−14914.5	−	18702.2i	−0.531872	−	0.666946i
$924$	−13.5883	−	3203.67i	−0.000483791	−	0.114062i
$925$	−5258.10	+	6593.44i	−0.186903	+	0.234369i
$926$	−4529.31	+	11540.5i	−0.160737	+	0.409551i
$927$	1579.50	−	21076.9i	0.0559628	−	0.746772i
$928$	1496.98	−	225.634i	0.0529535	−	0.00798146i
$929$	22976.8	−	21319.3i	0.811456	−	0.752921i	−0.160763	−	0.986993i	$-0.551396\pi$
$929$	22976.8	−	21319.3i	0.811456	−	0.752921i	0.972219	+	0.234072i	$0.0752050\pi$
$930$	660.529			0.0232899
$931$	−10163.2	−	6803.61i	−0.357773	−	0.239505i
$932$	−8298.95			−0.291675
$933$	8007.52	−	7429.89i	0.280980	−	0.260711i
$934$	17860.4	−	2692.03i	0.625708	−	0.0943104i
$935$	−3121.17	+	41649.1i	−0.109169	+	1.45676i
$936$	−2731.42	+	6959.54i	−0.0953837	+	0.243034i
$937$	15337.1	−	19232.1i	0.534729	−	0.670529i	−0.438935	−	0.898519i	$-0.644644\pi$
$937$	15337.1	−	19232.1i	0.534729	−	0.670529i	0.973663	+	0.227990i	$0.0732154\pi$
$938$	−4408.59	−	9056.08i	−0.153460	−	0.315236i
$939$	7056.09	+	8848.06i	0.245226	+	0.307503i
$940$	−9512.11	+	2934.10i	−0.330054	+	0.101808i
$941$	13870.8	+	35342.3i	0.480527	+	1.22436i	0.941519	+	0.336959i	$0.109398\pi$
$941$	13870.8	+	35342.3i	0.480527	+	1.22436i	−0.460992	+	0.887404i	$0.652506\pi$
$942$	6420.57	+	1980.48i	0.222074	+	0.0685007i
$943$	−775.646	−	10350.3i	−0.0267853	−	0.357424i
$944$	−2344.06	−	10270.0i	−0.0808185	−	0.354089i
$945$	−4125.94	−	13177.3i	−0.142028	−	0.453605i
$946$	−3095.20	+	13560.9i	−0.106378	+	0.466072i
$947$	28790.7	+	4339.49i	0.987931	+	0.148907i	0.623079	−	0.782159i	$-0.285882\pi$
$947$	28790.7	+	4339.49i	0.987931	+	0.148907i	0.364852	+	0.931066i	$0.381120\pi$
$948$	−3991.64	+	2721.45i	−0.136754	+	0.0932370i
$949$	−11672.6	+	20217.5i	−0.399270	+	0.691556i
$950$	−1932.57	−	3347.32i	−0.0660010	−	0.114317i
$951$	9499.96	+	4574.94i	0.323930	+	0.155996i
$952$	−11228.0	−	793.544i	−0.382248	−	0.0270156i
$953$	−42507.6	+	20470.6i	−1.44486	+	0.695810i	−0.981695	−	0.190460i	$-0.939002\pi$
$953$	−42507.6	+	20470.6i	−1.44486	+	0.695810i	−0.463169	+	0.886270i	$0.653288\pi$
$954$	28722.4	+	19582.6i	0.974760	+	0.664580i
$955$	−46261.9	−	42924.8i	−1.56754	−	1.45446i
$956$	12261.5	+	11377.0i	0.414817	+	0.384894i
$957$	−1690.42	−	1152.51i	−0.0570987	−	0.0389293i
$958$	−13180.7	+	6347.51i	−0.444520	+	0.214070i
$959$	14531.6	+	21121.0i	0.489313	+	0.711190i
$960$	812.819	+	391.433i	0.0273267	+	0.0131598i
$961$	14621.0	+	25324.4i	0.490787	+	0.850068i
$962$	5616.35	−	9727.81i	0.188231	−	0.326026i
$963$	17812.0	−	12144.0i	0.596037	−	0.406371i
$964$	−17227.5	−	2596.62i	−0.575580	−	0.0867547i
$965$	−4328.91	+	18966.2i	−0.144407	+	0.632687i
$966$	−3663.91	+	2136.13i	−0.122034	+	0.0711480i
$967$	−209.126	−	916.240i	−0.00695453	−	0.0304698i	0.971332	−	0.237729i	$-0.0764029\pi$
$967$	−209.126	−	916.240i	−0.00695453	−	0.0304698i	−0.978286	+	0.207259i	$0.933546\pi$
$968$	212.602	+	2836.97i	0.00705917	+	0.0941980i
$969$	−2725.77	−	840.788i	−0.0903656	−	0.0278741i
$970$	−3972.32	−	10121.3i	−0.131488	−	0.335026i
$971$	40118.9	−	12375.0i	1.32593	−	0.408995i	0.450688	−	0.892681i	$-0.351179\pi$
$971$	40118.9	−	12375.0i	1.32593	−	0.408995i	0.875241	+	0.483686i	$0.160702\pi$
$972$	−5432.20	−	6811.76i	−0.179257	−	0.224781i
$973$	29252.9	+	23126.1i	0.963829	+	0.761963i
$974$	−14775.9	+	18528.4i	−0.486090	+	0.609538i
$975$	−752.620	+	1917.64i	−0.0247212	+	0.0629885i
$976$	−1082.60	+	14446.3i	−0.0355053	+	0.473786i
$977$	42709.0	−	6437.35i	1.39855	−	0.210797i	0.593896	−	0.804542i	$-0.297589\pi$
$977$	42709.0	−	6437.35i	1.39855	−	0.210797i	0.804653	+	0.593745i	$0.202351\pi$
$978$	2815.84	−	2612.72i	0.0920662	−	0.0854250i
$979$	−1804.10			−0.0588960
$980$	−18365.7	+	155.798i	−0.598642	+	0.00507836i
$981$	−48702.5			−1.58507
$982$	−11117.8	+	10315.8i	−0.361285	+	0.335223i
$983$	4427.17	−	667.289i	0.143647	−	0.0216513i	−0.0768251	−	0.997045i	$-0.524478\pi$
$983$	4427.17	−	667.289i	0.143647	−	0.0216513i	0.220472	+	0.975393i	$0.429240\pi$
$984$	−60.0924	+	801.877i	−0.00194682	+	0.0259786i
$985$	−23299.1	+	59365.1i	−0.753676	+	1.92034i
$986$	−4481.77	+	5619.96i	−0.144755	+	0.181517i
$987$	−1559.18	+	3273.11i	−0.0502829	+	0.105556i
$988$	3209.82	+	4024.99i	0.103358	+	0.129607i
$989$	17596.0	−	5427.64i	0.565742	−	0.174508i
$990$	10400.5	+	26500.1i	0.333890	+	0.850737i
$991$	1430.19	+	441.154i	0.0458440	+	0.0141410i	0.317592	−	0.948227i	$-0.397126\pi$
$991$	1430.19	+	441.154i	0.0458440	+	0.0141410i	−0.271748	+	0.962368i	$0.587602\pi$
$992$	−56.0278	−	747.639i	−0.00179323	−	0.0239290i
$993$	−1823.29	−	7988.35i	−0.0582682	−	0.255290i
$994$	3555.64	−	24288.7i	0.113459	−	0.775042i
$995$	−11799.1	+	51695.0i	−0.375935	+	1.64708i
$996$	5113.19	+	770.689i	0.162668	+	0.0245183i
$997$	8884.88	−	6057.61i	0.282234	−	0.192424i	−0.413926	−	0.910310i	$-0.635843\pi$
$997$	8884.88	−	6057.61i	0.282234	−	0.192424i	0.696160	+	0.717887i	$0.254890\pi$
$998$	9679.50	−	16765.4i	0.307013	−	0.531762i
$999$	4333.07	+	7505.09i	0.137229	+	0.237688i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	98.4.g.b.11.4	yes	84
49.9	even	21	inner	98.4.g.b.9.4	✓	84

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
98.4.g.b.9.4	✓	84	49.9	even	21	inner
98.4.g.b.11.4	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)

\(f(q)\)	\(=\)	\(q+(-1.46610 + 1.36035i) q^{2} +(1.04126 - 0.156944i) q^{3} +(0.298920 - 3.98882i) q^{4} +(4.89065 - 12.4612i) q^{5} +(-1.31309 + 1.64657i) q^{6} +(-18.0383 + 4.19769i) q^{7} +(4.98792 + 6.25465i) q^{8} +(-24.7409 + 7.63155i) q^{9} +O(q^{10})\)	\(q+(-1.46610 + 1.36035i) q^{2} +(1.04126 - 0.156944i) q^{3} +(0.298920 - 3.98882i) q^{4} +(4.89065 - 12.4612i) q^{5} +(-1.31309 + 1.64657i) q^{6} +(-18.0383 + 4.19769i) q^{7} +(4.98792 + 6.25465i) q^{8} +(-24.7409 + 7.63155i) q^{9} +(9.78130 + 24.9223i) q^{10} +(-39.2439 - 12.1051i) q^{11} +(-0.314769 - 4.20030i) q^{12} +(-8.03191 - 35.1901i) q^{13} +(20.7357 - 30.6925i) q^{14} +(3.13672 - 13.7428i) q^{15} +(-15.8213 - 2.38468i) q^{16} +(62.7699 - 42.7958i) q^{17} +(25.8912 - 44.8448i) q^{18} +(-17.8284 - 30.8798i) q^{19} +(-48.2434 - 23.2328i) q^{20} +(-18.1237 + 7.20188i) q^{21} +(74.0027 - 35.6378i) q^{22} +(-89.8412 - 61.2527i) q^{23} +(6.17534 + 5.72988i) q^{24} +(-39.7308 - 36.8648i) q^{25} +(59.6463 + 40.6662i) q^{26} +(-50.1798 + 24.1653i) q^{27} +(11.3518 + 73.2061i) q^{28} +(42.6240 + 20.5266i) q^{29} +(14.0963 + 24.4155i) q^{30} +(11.7146 - 20.2903i) q^{31} +(26.4396 - 18.0262i) q^{32} +(-42.7628 - 6.44546i) q^{33} +(-33.8101 + 148.132i) q^{34} +(-35.9107 + 245.307i) q^{35} +(23.0453 + 100.968i) q^{36} +(-11.6279 - 155.164i) q^{37} +(68.1455 + 21.0201i) q^{38} +(-13.8862 - 35.3814i) q^{39} +(102.334 - 31.5660i) q^{40} +(59.5151 + 74.6296i) q^{41} +(16.7742 - 35.2132i) q^{42} +(-105.587 + 132.401i) q^{43} +(-60.0159 + 152.918i) q^{44} +(-25.9009 + 345.624i) q^{45} +(215.041 - 32.4123i) q^{46} +(136.276 - 126.446i) q^{47} -16.8483 q^{48} +(307.759 - 151.438i) q^{49} +108.398 q^{50} +(58.6431 - 54.4128i) q^{51} +(-142.768 + 21.5188i) q^{52} +(-50.1682 + 669.448i) q^{53} +(40.6956 - 103.691i) q^{54} +(-342.772 + 429.823i) q^{55} +(-116.229 - 91.8854i) q^{56} +(-23.4104 - 29.3557i) q^{57} +(-90.4146 + 27.8892i) q^{58} +(240.534 + 612.871i) q^{59} +(-53.8801 - 16.6198i) q^{60} +(-67.6626 - 902.894i) q^{61} +(10.4270 + 45.6836i) q^{62} +(414.248 - 241.515i) q^{63} +(-14.2413 + 62.3954i) q^{64} +(-477.791 - 72.0154i) q^{65} +(71.4628 - 48.7225i) q^{66} +(135.961 - 235.492i) q^{67} +(-151.941 - 263.170i) q^{68} +(-103.161 - 49.6798i) q^{69} +(-281.054 - 408.497i) q^{70} +(597.093 - 287.545i) q^{71} +(-171.138 - 116.680i) q^{72} +(-474.114 - 439.914i) q^{73} +(228.124 + 211.668i) q^{74} +(-47.1557 - 32.1502i) q^{75} +(-128.503 + 61.8837i) q^{76} +(758.705 + 53.6220i) q^{77} +(68.4895 + 32.9828i) q^{78} +(-573.481 - 993.299i) q^{79} +(-107.092 + 185.489i) q^{80} +(529.134 - 360.757i) q^{81} +(-188.777 - 28.4536i) q^{82} +(-273.177 + 1196.87i) q^{83} +(23.3094 + 74.4448i) q^{84} +(-226.300 - 991.485i) q^{85} +(-25.3107 - 337.748i) q^{86} +(47.6041 + 14.6839i) q^{87} +(-120.032 - 305.836i) q^{88} +(41.9774 - 12.9483i) q^{89} +(-432.194 - 541.954i) q^{90} +(292.599 + 601.053i) q^{91} +(-271.181 + 340.050i) q^{92} +(9.01348 - 22.9660i) q^{93} +(-27.7850 + 370.765i) q^{94} +(-471.990 + 71.1411i) q^{95} +(24.7014 - 22.9195i) q^{96} -406.113 q^{97} +(-245.198 + 640.682i) q^{98} +1063.31 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

Introduction

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