LMFDB - Embedded newform 98.4.g.b.65.6

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			65.6
Character	$\chi$	$=$	98.65
Dual form			98.4.g.b.95.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.730682 + 1.86175i) q^{2} +(0.511409 + 6.82428i) q^{3} +(-2.93221 + 2.72069i) q^{4} +(-3.08179 + 2.10113i) q^{5} +(-12.3314 + 5.93850i) q^{6} +(15.0244 + 10.8290i) q^{7} +(-7.20775 - 3.47107i) q^{8} +(-19.6109 + 2.95586i) q^{9} +O(q^{10})$	\(q+(0.730682 + 1.86175i) q^{2} +(0.511409 + 6.82428i) q^{3} +(-2.93221 + 2.72069i) q^{4} +(-3.08179 + 2.10113i) q^{5} +(-12.3314 + 5.93850i) q^{6} +(15.0244 + 10.8290i) q^{7} +(-7.20775 - 3.47107i) q^{8} +(-19.6109 + 2.95586i) q^{9} +(-6.16357 - 4.20225i) q^{10} +(-35.0071 - 5.27647i) q^{11} +(-20.0663 - 18.6188i) q^{12} +(-5.31605 + 6.66612i) q^{13} +(-9.18287 + 35.8842i) q^{14} +(-15.9147 - 19.9564i) q^{15} +(1.19568 - 15.9553i) q^{16} +(1.31849 - 0.406702i) q^{17} +(-19.8324 - 34.3507i) q^{18} +(57.5926 - 99.7534i) q^{19} +(3.31992 - 14.5455i) q^{20} +(-66.2168 + 108.069i) q^{21} +(-15.7556 - 69.0297i) q^{22} +(36.3383 + 11.2089i) q^{23} +(20.0015 - 50.9629i) q^{24} +(-40.5850 + 103.409i) q^{25} +(-16.2950 - 5.02633i) q^{26} +(10.9149 + 47.8212i) q^{27} +(-73.5171 + 9.12375i) q^{28} +(-30.5667 + 133.921i) q^{29} +(25.5253 - 44.2110i) q^{30} +(106.870 + 185.104i) q^{31} +(30.5783 - 9.43217i) q^{32} +(18.1052 - 241.597i) q^{33} +(1.72058 + 2.15753i) q^{34} +(-69.0551 - 1.80462i) q^{35} +(49.4612 - 62.0223i) q^{36} +(124.256 + 115.293i) q^{37} +(227.797 + 34.3349i) q^{38} +(-48.2102 - 32.8691i) q^{39} +(29.5059 - 4.44730i) q^{40} +(289.983 + 139.648i) q^{41} +(-249.580 - 44.3150i) q^{42} +(144.275 - 69.4793i) q^{43} +(117.004 - 79.7717i) q^{44} +(54.2259 - 50.3143i) q^{45} +(5.68364 + 75.8429i) q^{46} +(-223.608 - 569.743i) q^{47} +109.495 q^{48} +(108.464 + 325.399i) q^{49} -222.176 q^{50} +(3.44974 + 8.78979i) q^{51} +(-2.54868 - 34.0098i) q^{52} +(121.268 - 112.520i) q^{53} +(-81.0557 + 55.2628i) q^{54} +(118.971 - 57.2933i) q^{55} +(-70.7037 - 130.204i) q^{56} +(710.199 + 342.014i) q^{57} +(-271.662 + 40.9465i) q^{58} +(26.3454 + 17.9620i) q^{59} +(100.961 + 15.2174i) q^{60} +(-81.7903 - 75.8903i) q^{61} +(-266.529 + 334.217i) q^{62} +(-326.650 - 167.957i) q^{63} +(39.9033 + 50.0372i) q^{64} +(2.37658 - 31.7132i) q^{65} +(463.021 - 142.823i) q^{66} +(17.7714 + 30.7810i) q^{67} +(-2.75959 + 4.77975i) q^{68} +(-57.9089 + 253.715i) q^{69} +(-47.0976 - 129.882i) q^{70} +(44.6871 + 195.787i) q^{71} +(151.610 + 46.7656i) q^{72} +(325.201 - 828.599i) q^{73} +(-123.854 + 315.576i) q^{74} +(-726.446 - 224.079i) q^{75} +(102.525 + 449.189i) q^{76} +(-468.821 - 458.368i) q^{77} +(25.9677 - 113.772i) q^{78} +(-248.975 + 431.237i) q^{79} +(29.8392 + 51.6830i) q^{80} +(-832.448 + 256.776i) q^{81} +(-48.1048 + 641.913i) q^{82} +(-550.297 - 690.051i) q^{83} +(-99.8604 - 497.035i) q^{84} +(-3.20879 + 4.02369i) q^{85} +(234.772 + 217.837i) q^{86} +(-929.549 - 140.107i) q^{87} +(234.007 + 159.543i) q^{88} +(263.423 - 39.7046i) q^{89} +(133.294 + 64.1912i) q^{90} +(-152.058 + 42.5866i) q^{91} +(-137.047 + 65.9985i) q^{92} +(-1208.55 + 823.975i) q^{93} +(897.332 - 832.602i) q^{94} +(32.1062 + 428.428i) q^{95} +(80.0058 + 203.851i) q^{96} +322.818 q^{97} +(-526.558 + 439.696i) q^{98} +702.116 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 $\left(\mathbb{Z}/98\mathbb{Z}\right)^\times$.

$n$	$3$
$\chi(n)$	$e\left(\frac{10}{21}\right)$

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 $

$2$	0.730682	+	1.86175i	0.258335	+	0.658227i
$2$	0.730682	+	1.86175i	0.258335	+	0.658227i
$3$	0.511409	+	6.82428i	0.0984208	+	1.31333i	0.799679	+	0.600427i	$0.205003\pi$
$3$	0.511409	+	6.82428i	0.0984208	+	1.31333i	−0.701259	+	0.712907i	$0.747378\pi$
$4$	−2.93221	+	2.72069i	−0.366526	+	0.340086i
$5$	−3.08179	+	2.10113i	−0.275643	+	0.187930i	−0.693249	−	0.720698i	$-0.743822\pi$
$5$	−3.08179	+	2.10113i	−0.275643	+	0.187930i	0.417606	+	0.908628i	$0.362869\pi$
$6$	−12.3314	+	5.93850i	−0.839047	+	0.404064i
$7$	15.0244	+	10.8290i	0.811241	+	0.584713i
$7$	15.0244	+	10.8290i	0.811241	+	0.584713i
$8$	−7.20775	−	3.47107i	−0.318541	−	0.153401i
$9$	−19.6109	+	2.95586i	−0.726329	+	0.109476i
$10$	−6.16357	−	4.20225i	−0.194909	−	0.132887i
$11$	−35.0071	−	5.27647i	−0.959548	−	0.144629i	−0.349450	−	0.936955i	$-0.613632\pi$
$11$	−35.0071	−	5.27647i	−0.959548	−	0.144629i	−0.610097	+	0.792326i	$0.708870\pi$
$12$	−20.0663	−	18.6188i	−0.482721	−	0.447899i
$13$	−5.31605	+	6.66612i	−0.113416	+	0.142219i	−0.835299	−	0.549796i	$-0.814705\pi$
$13$	−5.31605	+	6.66612i	−0.113416	+	0.142219i	0.721883	+	0.692015i	$0.243277\pi$
$14$	−9.18287	+	35.8842i	−0.175302	+	0.685032i
$15$	−15.9147	−	19.9564i	−0.273944	−	0.343515i
$16$	1.19568	−	15.9553i	0.0186825	−	0.249301i
$17$	1.31849	−	0.406702i	0.0188107	−	0.00580233i	−0.285336	−	0.958428i	$-0.592105\pi$
$17$	1.31849	−	0.406702i	0.0188107	−	0.00580233i	0.304146	+	0.952625i	$0.401629\pi$
$18$	−19.8324	−	34.3507i	−0.259697	−	0.449808i
$19$	57.5926	−	99.7534i	0.695403	−	1.20447i	−0.274642	−	0.961547i	$-0.588559\pi$
$19$	57.5926	−	99.7534i	0.695403	−	1.20447i	0.970045	−	0.242926i	$-0.0781074\pi$
$20$	3.31992	−	14.5455i	0.0371178	−	0.162624i
$21$	−66.2168	+	108.069i	−0.688080	+	1.12298i
$22$	−15.7556	−	69.0297i	−0.152686	−	0.668963i
$23$	36.3383	+	11.2089i	0.329437	+	0.101618i	0.455062	−	0.890460i	$-0.349617\pi$
$23$	36.3383	+	11.2089i	0.329437	+	0.101618i	−0.125624	+	0.992078i	$0.540093\pi$
$24$	20.0015	−	50.9629i	0.170116	−	0.433448i
$25$	−40.5850	+	103.409i	−0.324680	+	0.827270i
$26$	−16.2950	−	5.02633i	−0.122912	−	0.0379133i
$27$	10.9149	+	47.8212i	0.0777988	+	0.340859i
$28$	−73.5171	+	9.12375i	−0.496193	+	0.0615795i
$29$	−30.5667	+	133.921i	−0.195727	+	0.857537i	0.777717	+	0.628614i	$0.216377\pi$
$29$	−30.5667	+	133.921i	−0.195727	+	0.857537i	−0.973445	+	0.228923i	$0.926480\pi$
$30$	25.5253	−	44.2110i	0.155342	−	0.269060i
$31$	106.870	+	185.104i	0.619174	+	1.07244i	0.989637	+	0.143594i	$0.0458659\pi$
$31$	106.870	+	185.104i	0.619174	+	1.07244i	−0.370462	+	0.928848i	$0.620801\pi$
$32$	30.5783	−	9.43217i	0.168923	−	0.0521058i
$33$	18.1052	−	241.597i	0.0955062	−	1.27444i
$34$	1.72058	+	2.15753i	0.00867872	+	0.0108828i
$35$	−69.0551	−	1.80462i	−0.333498	−	0.00871533i
$36$	49.4612	−	62.0223i	0.228987	−	0.287140i
$37$	124.256	+	115.293i	0.552097	+	0.512271i	0.906151	−	0.422954i	$-0.139007\pi$
$37$	124.256	+	115.293i	0.552097	+	0.512271i	−0.354054	+	0.935225i	$0.615197\pi$
$38$	227.797	+	34.3349i	0.972464	+	0.146575i
$39$	−48.2102	−	32.8691i	−0.197944	−	0.134956i
$40$	29.5059	−	4.44730i	0.116632	−	0.0175795i
$41$	289.983	+	139.648i	1.10458	+	0.531937i	0.895095	−	0.445875i	$-0.147108\pi$
$41$	289.983	+	139.648i	1.10458	+	0.531937i	0.209483	+	0.977812i	$0.432822\pi$
$42$	−249.580	−	44.3150i	−0.916930	−	0.162808i
$43$	144.275	−	69.4793i	0.511669	−	0.246407i	−0.160190	−	0.987086i	$-0.551211\pi$
$43$	144.275	−	69.4793i	0.511669	−	0.246407i	0.671858	+	0.740680i	$0.265496\pi$
$44$	117.004	−	79.7717i	0.400885	−	0.273319i
$45$	54.2259	−	50.3143i	0.179634	−	0.166676i
$46$	5.68364	+	75.8429i	0.0182175	+	0.243096i
$47$	−223.608	−	569.743i	−0.693969	−	1.76820i	−0.638343	−	0.769752i	$-0.720380\pi$
$47$	−223.608	−	569.743i	−0.693969	−	1.76820i	−0.0556261	−	0.998452i	$-0.517715\pi$
$48$	109.495			0.329254
$49$	108.464	+	325.399i	0.316222	+	0.948685i
$50$	−222.176			−0.628408
$51$	3.44974	+	8.78979i	0.00947176	+	0.0241337i
$52$	−2.54868	−	34.0098i	−0.00679689	−	0.0906982i
$53$	121.268	−	112.520i	0.314291	−	0.291620i	−0.507215	−	0.861820i	$-0.669325\pi$
$53$	121.268	−	112.520i	0.314291	−	0.291620i	0.821506	+	0.570200i	$0.193134\pi$
$54$	−81.0557	+	55.2628i	−0.204264	+	0.139265i
$55$	118.971	−	57.2933i	0.291673	−	0.140462i
$56$	−70.7037	−	130.204i	−0.168718	−	0.310700i
$57$	710.199	+	342.014i	1.65032	+	0.794751i
$58$	−271.662	+	40.9465i	−0.615017	+	0.0926989i
$59$	26.3454	+	17.9620i	0.0581336	+	0.0396348i	0.592038	−	0.805910i	$-0.298323\pi$
$59$	26.3454	+	17.9620i	0.0581336	+	0.0396348i	−0.533905	+	0.845545i	$0.679276\pi$
$60$	100.961	+	15.2174i	0.217233	+	0.0327426i
$61$	−81.7903	−	75.8903i	−0.171675	−	0.159291i	0.589656	−	0.807654i	$-0.299263\pi$
$61$	−81.7903	−	75.8903i	−0.171675	−	0.159291i	−0.761331	+	0.648363i	$0.775454\pi$
$62$	−266.529	+	334.217i	−0.545956	+	0.684607i
$63$	−326.650	−	167.957i	−0.653240	−	0.335882i
$64$	39.9033	+	50.0372i	0.0779362	+	0.0977289i
$65$	2.37658	−	31.7132i	0.00453505	−	0.0605161i
$66$	463.021	−	142.823i	0.863544	−	0.266368i
$67$	17.7714	+	30.7810i	0.0324048	+	0.0561268i	0.881773	−	0.471674i	$-0.156350\pi$
$67$	17.7714	+	30.7810i	0.0324048	+	0.0561268i	−0.849368	+	0.527801i	$0.823017\pi$
$68$	−2.75959	+	4.77975i	−0.00492132	+	0.00852397i
$69$	−57.9089	+	253.715i	−0.101035	+	0.442663i
$70$	−47.0976	−	129.882i	−0.0804177	−	0.221769i
$71$	44.6871	+	195.787i	0.0746956	+	0.327263i	0.998446	−	0.0557329i	$-0.0177495\pi$
$71$	44.6871	+	195.787i	0.0746956	+	0.327263i	−0.923750	+	0.382996i	$0.874892\pi$
$72$	151.610	+	46.7656i	0.248159	+	0.0765469i
$73$	325.201	−	828.599i	0.521396	−	1.32850i	−0.391453	−	0.920198i	$-0.628027\pi$
$73$	325.201	−	828.599i	0.521396	−	1.32850i	0.912849	−	0.408297i	$-0.133877\pi$
$74$	−123.854	+	315.576i	−0.194565	+	0.495743i
$75$	−726.446	−	224.079i	−1.11844	−	0.344992i
$76$	102.525	+	449.189i	0.154742	+	0.677968i
$77$	−468.821	−	458.368i	−0.693858	−	0.678388i
$78$	25.9677	−	113.772i	0.0376957	−	0.165156i
$79$	−248.975	+	431.237i	−0.354581	+	0.614152i	−0.987046	−	0.160437i	$-0.948710\pi$
$79$	−248.975	+	431.237i	−0.354581	+	0.614152i	0.632465	+	0.774589i	$0.282043\pi$
$80$	29.8392	+	51.6830i	0.0417015	+	0.0722292i
$81$	−832.448	+	256.776i	−1.14190	+	0.352231i
$82$	−48.1048	+	641.913i	−0.0647839	+	0.864482i
$83$	−550.297	−	690.051i	−0.727747	−	0.912566i	0.271002	−	0.962579i	$-0.412645\pi$
$83$	−550.297	−	690.051i	−0.727747	−	0.912566i	−0.998749	+	0.0500132i	$0.984074\pi$
$84$	−99.8604	−	497.035i	−0.129710	−	0.645607i
$85$	−3.20879	+	4.02369i	−0.00409461	+	0.00513448i
$86$	234.772	+	217.837i	0.294374	+	0.273139i
$87$	−929.549	−	140.107i	−1.14550	−	0.172656i
$88$	234.007	+	159.543i	0.283469	+	0.193266i
$89$	263.423	−	39.7046i	0.313739	−	0.0472885i	0.00971462	−	0.999953i	$-0.496908\pi$
$89$	263.423	−	39.7046i	0.313739	−	0.0472885i	0.304024	+	0.952664i	$0.401670\pi$
$90$	133.294	+	64.1912i	0.156116	+	0.0751816i
$91$	−152.058	+	42.5866i	−0.175165	+	0.0490582i
$92$	−137.047	+	65.9985i	−0.155306	+	0.0747916i
$93$	−1208.55	+	823.975i	−1.34753	+	0.918733i
$94$	897.332	−	832.602i	0.984603	−	0.913578i
$95$	32.1062	+	428.428i	0.0346740	+	0.462692i
$96$	80.0058	+	203.851i	0.0850579	+	0.216724i
$97$	322.818			0.337910			0.168955	−	0.985624i	$-0.445961\pi$
$97$	322.818			0.337910			0.168955	+	0.985624i	$0.445961\pi$
$98$	−526.558	+	439.696i	−0.542759	+	0.453225i
$99$	702.116			0.712780
$100$	−162.340	−	413.635i	−0.162340	−	0.413635i
$101$	−95.7333	−	1277.47i	−0.0943150	−	1.25855i	−0.820741	−	0.571301i	$-0.806439\pi$
$101$	−95.7333	−	1277.47i	−0.0943150	−	1.25855i	0.726426	−	0.687245i	$-0.241180\pi$
$102$	−13.8437	+	12.8451i	−0.0134385	+	0.0124691i
$103$	1087.62	−	741.527i	1.04045	−	0.709367i	0.0825846	−	0.996584i	$-0.473683\pi$
$103$	1087.62	−	741.527i	1.04045	−	0.709367i	0.957865	+	0.287217i	$0.0927302\pi$
$104$	61.4553	−	29.5953i	0.0579441	−	0.0279044i
$105$	−23.0002	−	472.174i	−0.0213770	−	0.438852i
$106$	298.093	+	143.554i	0.273144	+	0.131539i
$107$	−2158.89	+	325.400i	−1.95054	+	0.293997i	−0.999869	−	0.0162021i	$-0.994842\pi$
$107$	−2158.89	+	325.400i	−1.95054	+	0.293997i	−0.950672	+	0.310199i	$0.899604\pi$
$108$	−162.111	−	110.526i	−0.144437	−	0.0984753i
$109$	1218.03	+	183.589i	1.07034	+	0.161327i	0.660495	−	0.750830i	$-0.270346\pi$
$109$	1218.03	+	183.589i	1.07034	+	0.161327i	0.409840	+	0.912157i	$0.365585\pi$
$110$	193.595	+	179.630i	0.167806	+	0.155701i
$111$	−723.245	+	906.921i	−0.618445	+	0.775506i
$112$	190.744	−	226.770i	0.160925	−	0.191319i
$113$	972.702	+	1219.73i	0.809771	+	1.01542i	0.999436	+	0.0335716i	$0.0106882\pi$
$113$	972.702	+	1219.73i	0.809771	+	1.01542i	−0.189666	+	0.981849i	$0.560740\pi$
$114$	−117.814	+	1572.11i	−0.0967917	+	1.29160i
$115$	−135.538	+	41.8080i	−0.109904	+	0.0339010i
$116$	−274.731	−	475.848i	−0.219897	−	0.380874i
$117$	84.5483	−	146.442i	0.0668076	−	0.115714i
$118$	−14.1906	+	62.1730i	−0.0110708	+	0.0485042i
$119$	24.2138	+	8.16757i	0.0186527	+	0.00629177i
$120$	45.4392	+	199.082i	0.0345668	+	0.151447i
$121$	−74.2143	−	22.8921i	−0.0557583	−	0.0171991i
$122$	81.5258	−	207.724i	0.0605000	−	0.154152i
$123$	−804.700	+	2050.34i	−0.589897	+	1.50303i
$124$	−816.976	−	252.004i	−0.591666	−	0.182505i
$125$	−195.948	−	858.505i	−0.140209	−	0.614296i
$126$	74.0153	−	730.864i	0.0523318	−	0.516750i
$127$	326.345	−	1429.81i	0.228019	−	0.999018i	−0.723233	−	0.690604i	$-0.757345\pi$
$127$	326.345	−	1429.81i	0.228019	−	0.999018i	0.951252	−	0.308414i	$-0.0997982\pi$
$128$	−64.0000	+	110.851i	−0.0441942	+	0.0765466i
$129$	547.930	+	949.042i	0.373973	+	0.647740i
$130$	60.7786	−	18.7477i	0.0410049	−	0.0126483i
$131$	67.1772	−	896.417i	0.0448038	−	0.597865i	−0.928942	−	0.370226i	$-0.879280\pi$
$131$	67.1772	−	896.417i	0.0448038	−	0.597865i	0.973746	−	0.227639i	$-0.0731007\pi$
$132$	604.221	+	757.670i	0.398415	+	0.499596i
$133$	1945.53	−	875.061i	1.26841	−	0.570507i
$134$	−44.3212	+	55.5770i	−0.0285729	+	0.0358293i
$135$	−134.116	−	124.441i	−0.0855025	−	0.0793347i
$136$	−10.9151	−	1.64518i	−0.00688206	−	0.00103730i
$137$	1401.82	+	955.745i	0.874202	+	0.596021i	0.915138	−	0.403141i	$-0.132082\pi$
$137$	1401.82	+	955.745i	0.874202	+	0.596021i	−0.0409361	+	0.999162i	$0.513034\pi$
$138$	−514.667	+	77.5735i	−0.317473	+	0.0478514i
$139$	2090.44	+	1006.71i	1.27561	+	0.614299i	0.944257	−	0.329209i	$-0.106782\pi$
$139$	2090.44	+	1006.71i	1.27561	+	0.614299i	0.331349	+	0.943508i	$0.392496\pi$
$140$	207.394	−	182.586i	0.125200	−	0.110224i
$141$	3773.73	−	1817.33i	2.25394	−	1.08544i
$142$	−331.854	+	226.254i	−0.196117	+	0.133710i
$143$	221.273	−	205.311i	0.129397	−	0.120063i
$144$	23.7132	+	316.431i	0.0137229	+	0.183120i
$145$	−187.186	−	476.941i	−0.107206	−	0.273157i
$146$	1780.26			1.00915
$147$	−2165.15	+	906.603i	−1.21482	+	0.508676i
$148$	−678.021			−0.376574
$149$	−899.008	−	2290.63i	−0.494292	−	1.25944i	−0.932698	−	0.360659i	$-0.882552\pi$
$149$	−899.008	−	2290.63i	−0.494292	−	1.25944i	0.438405	−	0.898777i	$-0.355543\pi$
$150$	−113.623	−	1516.19i	−0.0618484	−	0.825309i
$151$	1609.97	−	1493.83i	0.867664	−	0.805074i	−0.114437	−	0.993431i	$-0.536506\pi$
$151$	1609.97	−	1493.83i	0.867664	−	0.805074i	0.982101	+	0.188356i	$0.0603159\pi$
$152$	−761.364	+	519.089i	−0.406281	+	0.276998i
$153$	−24.6547	+	11.8731i	−0.0130275	+	0.00627373i
$154$	510.807	−	1207.75i	0.267286	−	0.631968i
$155$	−718.277	−	345.904i	−0.372216	−	0.179250i
$156$	230.789	−	34.7858i	0.118448	−	0.0178532i
$157$	−17.7245	−	12.0843i	−0.00900998	−	0.00614290i	0.558807	−	0.829298i	$-0.311259\pi$
$157$	−17.7245	−	12.0843i	−0.00900998	−	0.00614290i	−0.567817	+	0.823155i	$0.692212\pi$
$158$	−984.777	−	148.431i	−0.495852	−	0.0747377i
$159$	829.887	+	770.023i	0.413927	+	0.384068i
$160$	−74.4177	+	93.3168i	−0.0367702	+	0.0461084i
$161$	424.579	+	561.915i	0.207836	+	0.275063i
$162$	−1086.31	−	1362.19i	−0.526842	−	0.660639i
$163$	216.985	−	2895.47i	0.104268	−	1.39135i	−0.662323	−	0.749218i	$-0.730429\pi$
$163$	216.985	−	2895.47i	0.104268	−	1.39135i	0.766591	−	0.642136i	$-0.221952\pi$
$164$	−1230.23	+	379.476i	−0.585761	+	0.180683i
$165$	451.829	+	782.590i	0.213181	+	0.369240i
$166$	882.609	−	1528.72i	0.412673	−	0.714770i
$167$	−503.991	+	2208.13i	−0.233533	+	1.02317i	0.713151	+	0.701010i	$0.247267\pi$
$167$	−503.991	+	2208.13i	−0.233533	+	1.02317i	−0.946684	+	0.322164i	$0.895590\pi$
$168$	852.388	−	549.090i	0.391447	−	0.252162i
$169$	472.702	+	2071.04i	0.215158	+	0.942668i
$170$	−9.83570	−	3.03391i	−0.00443743	−	0.00136877i
$171$	−834.584	+	2126.49i	−0.373230	+	0.950974i
$172$	−234.013	+	596.256i	−0.103740	+	0.264326i
$173$	322.212	+	99.3892i	0.141603	+	0.0436787i	0.364746	−	0.931107i	$-0.381156\pi$
$173$	322.212	+	99.3892i	0.141603	+	0.0436787i	−0.223143	+	0.974786i	$0.571632\pi$
$174$	−418.361	−	1832.96i	−0.182275	−	0.798599i
$175$	−1729.58	+	1114.16i	−0.747109	+	0.481271i
$176$	−126.045	+	552.238i	−0.0539828	+	0.236514i
$177$	−109.104	+	188.975i	−0.0463322	+	0.0802497i
$178$	266.398	+	461.415i	0.112176	+	0.194295i
$179$	−2981.15	+	919.564i	−1.24482	+	0.383975i	−0.846062	−	0.533084i	$-0.821033\pi$
$179$	−2981.15	+	919.564i	−1.24482	+	0.383975i	−0.398753	+	0.917059i	$0.630557\pi$
$180$	−22.1120	+	295.064i	−0.00915627	+	0.122182i
$181$	190.799	+	239.254i	0.0783533	+	0.0982520i	0.819463	−	0.573132i	$-0.194272\pi$
$181$	190.799	+	239.254i	0.0783533	+	0.0982520i	−0.741110	+	0.671384i	$0.765700\pi$
$182$	−190.392	−	251.976i	−0.0775427	−	0.102625i
$183$	476.068	−	596.971i	0.192306	−	0.241144i
$184$	−223.011	−	206.924i	−0.0893509	−	0.0829055i
$185$	−625.176	−	94.2301i	−0.248453	−	0.0374483i
$186$	−2417.10	−	1647.95i	−0.952851	−	0.649643i
$187$	−48.3026	+	7.28044i	−0.0188889	+	0.00284705i
$188$	2205.76	+	1062.24i	0.855700	+	0.412083i
$189$	−353.868	+	836.681i	−0.136191	+	0.322008i
$190$	−774.165	+	372.818i	−0.295599	+	0.142353i
$191$	2840.57	−	1936.66i	1.07611	−	0.733676i	0.110549	−	0.993871i	$-0.464739\pi$
$191$	2840.57	−	1936.66i	1.07611	−	0.733676i	0.965556	+	0.260195i	$0.0837867\pi$
$192$	−321.061	+	297.901i	−0.120680	+	0.111975i
$193$	344.518	+	4597.27i	0.128492	+	1.71460i	0.573606	+	0.819131i	$0.305544\pi$
$193$	344.518	+	4597.27i	0.128492	+	1.71460i	−0.445114	+	0.895474i	$0.646837\pi$
$194$	235.878	+	601.006i	0.0872939	+	0.222421i
$195$	217.636			0.0799241
$196$	−1203.35	−	659.040i	−0.438539	−	0.240175i
$197$	−3649.36			−1.31983			−0.659914	−	0.751341i	$-0.729407\pi$
$197$	−3649.36			−1.31983			−0.659914	+	0.751341i	$0.729407\pi$
$198$	513.023	+	1307.16i	0.184136	+	0.469171i
$199$	215.262	+	2872.47i	0.0766808	+	1.02323i	0.894298	+	0.447472i	$0.147676\pi$
$199$	215.262	+	2872.47i	0.0766808	+	1.02323i	−0.817617	+	0.575763i	$0.804705\pi$
$200$	651.465	−	604.471i	0.230328	−	0.213713i
$201$	−200.970	+	137.019i	−0.0705239	+	0.0480824i
$202$	2308.38	−	1111.66i	0.804044	−	0.387207i
$203$	−1909.48	+	1681.08i	−0.660194	+	0.581224i
$204$	−34.0296	−	16.3878i	−0.0116792	−	0.00562439i
$205$	−1187.08	+	178.924i	−0.404437	+	0.0609590i
$206$	2175.24	+	1483.05i	0.735709	+	0.501598i
$207$	−745.758	−	112.405i	−0.250405	−	0.0377424i
$208$	100.003	+	92.7895i	0.0333365	+	0.0309317i
$209$	−2542.49	+	3188.19i	−0.841473	+	1.05517i
$210$	862.264	−	387.830i	0.283342	−	0.127442i
$211$	−3656.60	−	4585.23i	−1.19304	−	1.49602i	−0.823987	−	0.566609i	$-0.808255\pi$
$211$	−3656.60	−	4585.23i	−1.19304	−	1.49602i	−0.369048	−	0.929410i	$-0.620316\pi$
$212$	−49.4501	+	659.865i	−0.0160200	+	0.213772i
$213$	−1313.25	+	405.085i	−0.422454	+	0.130310i
$214$	−2183.28	−	3781.54i	−0.697410	−	1.20795i
$215$	−298.640	+	517.261i	−0.0947308	+	0.164078i
$216$	87.3190	−	382.569i	0.0275060	−	0.120512i
$217$	−398.843	+	3938.37i	−0.124771	+	1.23205i
$218$	548.199	+	2401.82i	0.170315	+	0.746200i
$219$	5820.91	+	1795.51i	1.79607	+	0.554016i
$220$	−192.970	+	491.679i	−0.0591364	+	0.150677i
$221$	−4.29806	+	10.9513i	−0.00130823	+	0.00333332i
$222$	−2216.92	−	683.829i	−0.670225	−	0.206737i
$223$	−1280.70	−	5611.13i	−0.384585	−	1.68497i	−0.682903	−	0.730509i	$-0.739283\pi$
$223$	−1280.70	−	5611.13i	−0.384585	−	1.68497i	0.298319	−	0.954466i	$-0.403574\pi$
$224$	561.562	+	189.421i	0.167504	+	0.0565010i
$225$	490.244	−	2147.90i	0.145258	−	0.636415i
$226$	−1560.09	+	2702.16i	−0.459185	+	0.795332i
$227$	98.3732	+	170.387i	0.0287632	+	0.0498194i	0.880049	−	0.474883i	$-0.157510\pi$
$227$	98.3732	+	170.387i	0.0287632	+	0.0498194i	−0.851285	+	0.524703i	$0.824176\pi$
$228$	−3012.96	+	929.376i	−0.875168	+	0.269954i
$229$	115.643	−	1543.14i	0.0333707	−	0.445301i	−0.955345	−	0.295494i	$-0.904516\pi$
$229$	115.643	−	1543.14i	0.0333707	−	0.445301i	0.988715	−	0.149807i	$-0.0478652\pi$
$230$	−176.871	−	221.789i	−0.0507067	−	0.0635842i
$231$	2888.27	−	3433.78i	0.822660	−	0.978035i
$232$	685.167	−	859.172i	0.193894	−	0.243135i
$233$	−2553.94	−	2369.71i	−0.718086	−	0.666287i	0.233958	−	0.972247i	$-0.424832\pi$
$233$	−2553.94	−	2369.71i	−0.718086	−	0.666287i	−0.952044	+	0.305960i	$0.901023\pi$
$234$	334.416	+	50.4051i	0.0934250	+	0.0140815i
$235$	1886.21	+	1286.00i	0.523587	+	0.356976i
$236$	−126.119	+	19.0094i	−0.0347867	+	0.00524325i
$237$	−3070.21	−	1478.54i	−0.841484	−	0.405238i
$238$	2.48660	+	51.0478i	0.000677236	+	0.0139031i
$239$	1662.12	−	800.436i	0.449849	−	0.216636i	−0.195221	−	0.980759i	$-0.562543\pi$
$239$	1662.12	−	800.436i	0.449849	−	0.216636i	0.645070	+	0.764124i	$0.276828\pi$
$240$	−337.439	+	230.062i	−0.0907567	+	0.0618769i
$241$	2028.64	−	1882.30i	0.542225	−	0.503112i	−0.360832	−	0.932631i	$-0.617507\pi$
$241$	2028.64	−	1882.30i	0.542225	−	0.503112i	0.903058	+	0.429519i	$0.141317\pi$
$242$	−11.6078	−	154.895i	−0.00308337	−	0.0411447i
$243$	−1694.19	−	4316.72i	−0.447251	−	1.13958i
$244$	446.300			0.117096
$245$	−1017.97	−	774.913i	−0.265451	−	0.202071i
$246$	−4405.20			−1.14173
$247$	358.802	+	914.213i	0.0924293	+	0.235506i
$248$	−127.782	−	1705.14i	−0.0327185	−	0.436598i
$249$	4427.68	−	4108.28i	1.12688	−	1.04559i
$250$	1455.14	−	992.101i	0.368126	−	0.250984i
$251$	2304.90	−	1109.98i	0.579619	−	0.279130i	−0.121015	−	0.992651i	$-0.538615\pi$
$251$	2304.90	−	1109.98i	0.579619	−	0.279130i	0.700634	+	0.713521i	$0.252901\pi$
$252$	1414.77	−	396.231i	0.353658	−	0.0990485i
$253$	−1212.95	−	584.128i	−0.301414	−	0.145153i
$254$	2900.40	−	437.166i	0.716486	−	0.107993i
$255$	−29.0998	−	19.8399i	−0.00714628	−	0.00487225i
$256$	−253.141	−	38.1548i	−0.0618019	−	0.00931514i
$257$	5265.04	+	4885.24i	1.27791	+	1.18573i	0.972342	+	0.233562i	$0.0750383\pi$
$257$	5265.04	+	4885.24i	1.27791	+	1.18573i	0.305572	+	0.952169i	$0.401152\pi$
$258$	−1366.51	+	1713.56i	−0.329750	+	0.413493i
$259$	618.363	+	3077.78i	0.148352	+	0.738393i
$260$	79.3133	+	99.4557i	0.0189185	+	0.0237230i
$261$	203.586	−	2716.66i	0.0482822	−	0.644281i
$262$	1717.99	−	529.929i	0.405105	−	0.124958i
$263$	−3380.85	−	5855.81i	−0.792670	−	1.37295i	−0.924308	−	0.381648i	$-0.875357\pi$
$263$	−3380.85	−	5855.81i	−0.792670	−	1.37295i	0.131638	−	0.991298i	$-0.457977\pi$
$264$	−969.096	+	1678.52i	−0.225923	+	0.391311i
$265$	−137.303	+	601.562i	−0.0318281	+	0.139448i
$266$	3050.70	+	2982.69i	0.703198	+	0.687520i
$267$	405.672	+	1777.37i	0.0929841	+	0.407390i
$268$	−135.855	−	41.9057i	−0.0309652	−	0.00955149i
$269$	−969.807	+	2471.03i	−0.219815	+	0.560079i	−0.997660	−	0.0683776i	$-0.978218\pi$
$269$	−969.807	+	2471.03i	−0.219815	+	0.560079i	0.777845	+	0.628456i	$0.216313\pi$
$270$	133.682	−	340.616i	0.0301320	−	0.0767750i
$271$	4006.56	+	1235.86i	0.898085	+	0.277023i	0.709226	−	0.704982i	$-0.249045\pi$
$271$	4006.56	+	1235.86i	0.898085	+	0.277023i	0.188859	+	0.982004i	$0.439521\pi$
$272$	−4.91253	−	21.5232i	−0.00109510	−	0.00479793i
$273$	−368.387	−	1015.91i	−0.0816696	−	0.225222i
$274$	−755.071	+	3308.18i	−0.166480	+	0.729396i
$275$	1966.39	−	3405.89i	0.431193	−	0.746847i
$276$	−520.480	−	901.498i	−0.113512	−	0.196608i
$277$	5492.76	−	1694.29i	1.19144	−	0.367510i	0.365252	−	0.930909i	$-0.380983\pi$
$277$	5492.76	−	1694.29i	1.19144	−	0.367510i	0.826185	+	0.563399i	$0.190507\pi$
$278$	−346.780	+	4627.46i	−0.0748147	+	0.998333i
$279$	−2642.96	−	3314.16i	−0.567131	−	0.711160i
$280$	491.468	+	252.702i	0.104896	+	0.0539352i
$281$	−3671.98	+	4604.52i	−0.779545	+	0.977518i	0.220453	+	0.975398i	$0.429246\pi$
$281$	−3671.98	+	4604.52i	−0.779545	+	0.977518i	−0.999998	+	0.00212068i	$0.999325\pi$
$282$	6140.82	+	5697.85i	1.29674	+	1.20320i
$283$	−2004.89	−	302.189i	−0.421126	−	0.0634745i	−0.0649388	−	0.997889i	$-0.520685\pi$
$283$	−2004.89	−	302.189i	−0.421126	−	0.0634745i	−0.356187	+	0.934415i	$0.615923\pi$
$284$	−663.708	−	452.509i	−0.138675	−	0.0945473i
$285$	−2907.29	+	438.204i	−0.604257	+	0.0910771i
$286$	543.918	+	261.937i	0.112456	+	0.0541561i
$287$	2844.56	+	5238.36i	0.585049	+	1.07739i
$288$	−571.788	+	275.358i	−0.116989	+	0.0563391i
$289$	−4057.74	+	2766.52i	−0.825919	+	0.563102i
$290$	751.171	−	696.985i	0.152104	−	0.141132i
$291$	165.092	+	2203.00i	0.0332573	+	0.443788i
$292$	1300.80	+	3314.40i	0.260698	+	0.664248i
$293$	−3795.16			−0.756709			−0.378355	−	0.925661i	$-0.623510\pi$
$293$	−3795.16			−0.756709			−0.378355	+	0.925661i	$0.623510\pi$
$294$	−3269.90	−	3368.52i	−0.648654	−	0.668217i
$295$	−118.931			−0.0234727
$296$	−495.418	−	1262.30i	−0.0972824	−	0.247871i
$297$	−129.771	−	1731.67i	−0.0253538	−	0.338322i
$298$	3607.69	−	3347.45i	0.701302	−	0.650713i
$299$	−267.896	+	182.648i	−0.0518155	+	0.0353272i
$300$	2739.74	−	1319.39i	0.527263	−	0.253917i
$301$	2920.04	+	518.477i	0.559164	+	0.0992841i
$302$	3957.51	+	1905.84i	0.754070	+	0.363141i
$303$	8668.87	−	1306.62i	1.64361	−	0.247734i
$304$	−1522.73	−	1038.18i	−0.287284	−	0.195867i
$305$	411.515	+	62.0259i	0.0772567	+	0.0116446i
$306$	−40.1194	−	37.2253i	−0.00749501	−	0.00695435i
$307$	−4917.29	+	6166.09i	−0.914152	+	1.14631i	0.0746701	+	0.997208i	$0.476210\pi$
$307$	−4917.29	+	6166.09i	−0.914152	+	1.14631i	−0.988822	+	0.149102i	$0.952362\pi$
$308$	2621.76	+	68.5146i	0.485028	+	0.0126753i
$309$	5616.61	+	7043.00i	1.03404	+	1.29664i
$310$	119.154	−	1590.00i	0.0218306	−	0.291309i
$311$	117.239	−	36.1634i	0.0213762	−	0.00659369i	−0.284049	−	0.958810i	$-0.591678\pi$
$311$	117.239	−	36.1634i	0.0213762	−	0.00659369i	0.305425	+	0.952216i	$0.401202\pi$
$312$	233.396	+	404.253i	0.0423507	+	0.0733536i
$313$	−1206.23	+	2089.25i	−0.217828	+	0.377289i	−0.954144	−	0.299349i	$-0.903231\pi$
$313$	−1206.23	+	2089.25i	−0.217828	+	0.377289i	0.736316	+	0.676638i	$0.236564\pi$
$314$	9.54703	−	41.8283i	0.00171583	−	0.00751754i
$315$	1359.56	−	168.727i	0.243184	−	0.0301800i
$316$	−443.217	−	1941.86i	−0.0789016	−	0.345691i
$317$	−1938.11	−	597.829i	−0.343392	−	0.105922i	0.118262	−	0.992982i	$-0.462268\pi$
$317$	−1938.11	−	597.829i	−0.343392	−	0.105922i	−0.461654	+	0.887060i	$0.652744\pi$
$318$	−827.205	+	2107.68i	−0.145872	+	0.371676i
$319$	1776.68	−	4526.91i	0.311834	−	0.794540i
$320$	−228.108	−	70.3620i	−0.0398488	−	0.0122917i
$321$	−3324.70	−	14566.5i	−0.578090	−	2.53278i
$322$	−735.912	+	1201.04i	−0.127363	+	0.207861i
$323$	35.3657	−	154.947i	0.00609226	−	0.0266919i
$324$	1742.30	−	3017.76i	0.298749	−	0.517448i
$325$	−473.583	−	820.270i	−0.0808298	−	0.140001i
$326$	5549.18	−	1711.70i	0.942763	−	0.290804i
$327$	−629.950	+	8406.10i	−0.106533	+	1.42159i
$328$	−1605.40	−	2013.10i	−0.270253	−	0.338887i
$329$	2810.20	−	10981.5i	0.470915	−	1.84021i
$330$	−1126.84	+	1413.02i	−0.187972	+	0.235709i
$331$	1646.03	+	1527.29i	0.273336	+	0.253619i	0.804915	−	0.593390i	$-0.202211\pi$
$331$	1646.03	+	1527.29i	0.273336	+	0.253619i	−0.531579	+	0.847008i	$0.678401\pi$
$332$	3491.00	+	526.184i	0.577089	+	0.0869822i
$333$	−2777.56	−	1893.71i	−0.457085	−	0.311636i
$334$	−4479.23	+	675.136i	−0.733810	+	0.110604i
$335$	−119.442	−	57.5204i	−0.0194801	−	0.00938113i
$336$	1645.09	+	1185.72i	0.267104	+	0.192519i
$337$	−372.568	+	179.419i	−0.0602228	+	0.0290017i	−0.463753	−	0.885965i	$-0.653497\pi$
$337$	−372.568	+	179.419i	−0.0602228	+	0.0290017i	0.403530	+	0.914966i	$0.367783\pi$
$338$	−3510.36	+	2393.32i	−0.564907	+	0.385147i
$339$	−7826.33	+	7261.77i	−1.25389	+	1.16344i
$340$	−1.53839	−	20.5284i	−0.000245385	−	0.00327444i
$341$	−2764.51	−	7043.85i	−0.439022	−	1.11861i
$342$	−4568.80			−0.722375
$343$	−1894.15	+	6063.48i	−0.298176	+	0.954511i
$344$	−1281.07			−0.200786
$345$	−354.625	−	903.570i	−0.0553402	−	0.141005i
$346$	50.3968	+	672.499i	0.00783049	+	0.104491i
$347$	6493.26	−	6024.87i	1.00454	−	0.932080i	0.00685112	−	0.999977i	$-0.497819\pi$
$347$	6493.26	−	6024.87i	1.00454	−	0.932080i	0.997692	+	0.0678964i	$0.0216287\pi$
$348$	3106.82	−	2118.19i	0.478572	−	0.326285i
$349$	−4781.22	+	2302.51i	−0.733332	+	0.353154i	−0.762994	−	0.646406i	$-0.776271\pi$
$349$	−4781.22	+	2302.51i	−0.733332	+	0.353154i	0.0296618	+	0.999560i	$0.490557\pi$
$350$	−3338.05	−	2405.95i	−0.509790	−	0.367438i
$351$	−376.806	−	181.460i	−0.0573003	−	0.0275944i
$352$	−1120.23	+	168.847i	−0.169626	+	0.0255670i
$353$	−7901.12	−	5386.90i	−1.19132	−	0.812225i	−0.205271	−	0.978705i	$-0.565807\pi$
$353$	−7901.12	−	5386.90i	−1.19132	−	0.812225i	−0.986045	+	0.166480i	$0.946760\pi$
$354$	−431.544	−	65.0447i	−0.0647918	−	0.00976579i
$355$	−549.090	−	509.481i	−0.0820920	−	0.0761702i
$356$	−664.386	+	833.114i	−0.0989113	+	0.124031i
$357$	−43.3547	+	169.418i	−0.00642738	+	0.0251165i
$358$	−3890.27	−	4878.25i	−0.574322	−	0.720177i
$359$	381.854	−	5095.49i	0.0561379	−	0.749108i	−0.896120	−	0.443812i	$-0.853626\pi$
$359$	381.854	−	5095.49i	0.0561379	−	0.749108i	0.952258	−	0.305296i	$-0.0987553\pi$
$360$	−565.491	+	174.431i	−0.0827889	+	0.0255370i
$361$	−3204.32	−	5550.05i	−0.467170	−	0.809163i
$362$	−306.017	+	530.038i	−0.0444307	+	0.0769562i
$363$	118.268	−	518.166i	0.0171005	−	0.0749220i
$364$	330.000	−	538.576i	0.0475185	−	0.0775523i
$365$	738.791	+	3236.85i	0.105945	+	0.464177i
$366$	1459.26	+	450.123i	0.208407	+	0.0642850i
$367$	−2579.58	+	6572.65i	−0.366901	+	0.934849i	0.621559	+	0.783367i	$0.286500\pi$
$367$	−2579.58	+	6572.65i	−0.366901	+	0.934849i	−0.988460	+	0.151482i	$0.951596\pi$
$368$	222.290	−	566.385i	0.0314882	−	0.0802306i
$369$	−6099.60	−	1881.48i	−0.860522	−	0.265436i
$370$	−281.372	−	1232.77i	−0.0395347	−	0.173213i
$371$	3040.46	−	377.333i	0.425479	−	0.0528036i
$372$	1301.94	−	5704.15i	0.181458	−	0.795018i
$373$	−5551.33	+	9615.18i	−0.770608	+	1.33473i	0.166622	+	0.986021i	$0.446714\pi$
$373$	−5551.33	+	9615.18i	−0.770608	+	1.33473i	−0.937230	+	0.348711i	$0.886619\pi$
$374$	−48.8482	−	84.6075i	−0.00675368	−	0.0116977i
$375$	5758.47	−	1776.25i	0.792977	−	0.244601i
$376$	−365.910	+	4882.72i	−0.0501871	+	0.669700i
$377$	−730.241	−	915.694i	−0.0997595	−	0.125094i
$378$	−1816.25	−	47.4643i	−0.247138	−	0.00645846i
$379$	−6205.57	+	7781.54i	−0.841052	+	1.05465i	0.156701	+	0.987646i	$0.449914\pi$
$379$	−6205.57	+	7781.54i	−0.841052	+	1.05465i	−0.997753	+	0.0669998i	$0.978657\pi$
$380$	−1259.76	−	1168.89i	−0.170064	−	0.157797i
$381$	9924.34	+	1495.85i	1.33449	+	0.201141i
$382$	5681.13	+	3873.33i	0.760921	+	0.518787i
$383$	14115.9	−	2127.62i	1.88325	−	0.283855i	0.896128	−	0.443797i	$-0.146369\pi$
$383$	14115.9	−	2127.62i	1.88325	−	0.283855i	0.987126	+	0.159942i	$0.0511306\pi$
$384$	−789.211	−	380.064i	−0.104881	−	0.0505079i
$385$	2407.89	+	427.541i	0.318747	+	0.0565962i
$386$	−8307.22	+	4000.55i	−1.09541	+	0.527519i
$387$	−2623.99	+	1789.01i	−0.344664	+	0.234988i
$388$	−946.570	+	878.289i	−0.123853	+	0.114918i
$389$	327.663	+	4372.36i	0.0427074	+	0.569891i	0.976980	+	0.213331i	$0.0684314\pi$
$389$	327.663	+	4372.36i	0.0427074	+	0.569891i	−0.934272	+	0.356560i	$0.883950\pi$
$390$	159.022	+	405.182i	0.0206472	+	0.0526082i
$391$	52.4705			0.00678657
$392$	347.699	−	2721.88i	0.0447996	−	0.350704i
$393$	6151.76			0.789606
$394$	−2666.52	−	6794.18i	−0.340958	−	0.868746i
$395$	−138.796	−	1852.11i	−0.0176800	−	0.235923i
$396$	−2058.75	+	1910.24i	−0.261253	+	0.242407i
$397$	−2233.71	+	1522.92i	−0.282385	+	0.192527i	−0.696227	−	0.717822i	$-0.745139\pi$
$397$	−2233.71	+	1522.92i	−0.282385	+	0.192527i	0.413842	+	0.910349i	$0.364187\pi$
$398$	−5190.52	+	2499.62i	−0.653712	+	0.314811i
$399$	6966.62	+	12829.3i	0.874104	+	1.60970i
$400$	1601.39	+	771.187i	0.200173	+	0.0963984i
$401$	557.704	−	84.0603i	0.0694524	−	0.0104683i	−0.114224	−	0.993455i	$-0.536438\pi$
$401$	557.704	−	84.0603i	0.0694524	−	0.0104683i	0.183677	+	0.982987i	$0.441200\pi$
$402$	−401.940	−	274.038i	−0.0498680	−	0.0339994i
$403$	−1802.05	−	271.616i	−0.222746	−	0.0335735i
$404$	3756.32	+	3485.35i	0.462583	+	0.429215i
$405$	2025.91	−	2540.41i	0.248563	−	0.311689i
$406$	−4524.97	−	2326.64i	−0.553129	−	0.284407i
$407$	−3741.50	−	4691.70i	−0.455674	−	0.571398i
$408$	5.64512	−	75.3289i	0.000684988	−	0.00914053i
$409$	−3800.87	+	1172.41i	−0.459513	+	0.141741i	−0.515865	−	0.856670i	$-0.672529\pi$
$409$	−3800.87	+	1172.41i	−0.459513	+	0.141741i	0.0563518	+	0.998411i	$0.482053\pi$
$410$	−1200.49	−	2079.31i	−0.144605	−	0.250463i
$411$	−5805.37	+	10055.2i	−0.696735	+	1.20678i
$412$	−1171.66	+	5133.39i	−0.140106	+	0.613844i
$413$	201.313	+	555.163i	0.0239853	+	0.0661448i
$414$	−335.642	−	1470.55i	−0.0398452	−	0.174573i
$415$	3145.78	+	970.346i	0.372097	+	0.114777i
$416$	−99.6800	+	253.981i	−0.0117481	+	0.0299337i
$417$	−5800.97	+	14780.6i	−0.681234	+	1.73576i
$418$	−7793.35	−	2403.93i	−0.911927	−	0.281292i
$419$	235.763	+	1032.94i	0.0274887	+	0.120436i	0.986811	−	0.161878i	$-0.0517551\pi$
$419$	235.763	+	1032.94i	0.0274887	+	0.120436i	−0.959322	+	0.282314i	$0.908898\pi$
$420$	1352.08	+	1321.94i	0.157083	+	0.153581i
$421$	1558.47	−	6828.08i	0.180416	−	0.790452i	−0.801016	−	0.598642i	$-0.795707\pi$
$421$	1558.47	−	6828.08i	0.180416	−	0.790452i	0.981432	−	0.191810i	$-0.0614358\pi$
$422$	5864.72	−	10158.0i	0.676517	−	1.17176i
$423$	6069.23	+	10512.2i	0.697626	+	1.20832i
$424$	−1264.63	+	390.088i	−0.144849	+	0.0446801i
$425$	−11.4545	+	152.850i	−0.00130735	+	0.0174454i
$426$	−1713.74	−	2148.96i	−0.194908	−	0.244407i
$427$	−407.030	−	2025.91i	−0.0461302	−	0.229604i
$428$	5445.00	−	6827.82i	0.614939	−	0.771110i
$429$	1514.26	+	1405.03i	0.170418	+	0.158125i
$430$	−1181.22	−	178.040i	−0.132473	−	0.0199671i
$431$	−10995.5	−	7496.62i	−1.22885	−	0.837817i	−0.237803	−	0.971313i	$-0.576427\pi$
$431$	−10995.5	−	7496.62i	−1.22885	−	0.837817i	−0.991049	+	0.133496i	$0.957380\pi$
$432$	776.050	−	116.971i	0.0864299	−	0.0130272i
$433$	3066.29	+	1476.65i	0.340315	+	0.163887i	0.596233	−	0.802811i	$-0.296663\pi$
$433$	3066.29	+	1476.65i	0.340315	+	0.163887i	−0.255918	+	0.966699i	$0.582378\pi$
$434$	−7623.68	+	2135.15i	−0.843200	+	0.236154i
$435$	3159.05	−	1521.32i	0.348195	−	0.167682i
$436$	−4071.02	+	2775.57i	−0.447171	+	0.304876i
$437$	3210.94	−	2979.32i	0.351488	−	0.326133i
$438$	910.442	+	12149.0i	0.0993210	+	1.32535i
$439$	−5638.69	−	14367.1i	−0.613030	−	1.56197i	−0.813057	−	0.582184i	$-0.802199\pi$
$439$	−5638.69	−	14367.1i	−0.613030	−	1.56197i	0.200028	−	0.979790i	$-0.435897\pi$
$440$	−1056.38			−0.114457
$441$	−3088.91	−	6060.75i	−0.333540	−	0.654438i
$442$	−23.5290			−0.00253204
$443$	4118.45	+	10493.6i	0.441701	+	1.12544i	0.962386	+	0.271687i	$0.0875816\pi$
$443$	4118.45	+	10493.6i	0.441701	+	1.12544i	−0.520684	+	0.853749i	$0.674323\pi$
$444$	−346.746	−	4627.01i	−0.0370627	−	0.494568i
$445$	−728.388	+	675.846i	−0.0775931	+	0.0719959i
$446$	9510.73	−	6484.30i	1.00974	−	0.688432i
$447$	15172.2	−	7306.53i	1.60541	−	0.773126i
$448$	57.6688	+	1183.89i	0.00608169	+	0.124852i
$449$	−2699.44	−	1299.98i	−0.283729	−	0.136637i	0.286607	−	0.958048i	$-0.407473\pi$
$449$	−2699.44	−	1299.98i	−0.283729	−	0.136637i	−0.570336	+	0.821412i	$0.693187\pi$
$450$	4357.06	−	656.721i	0.456431	−	0.0687959i
$451$	−9414.60	−	6418.76i	−0.982963	−	0.670173i
$452$	−6170.67	−	930.079i	−0.642133	−	0.0967859i
$453$	11017.7	+	10222.9i	1.14273	+	1.06030i
$454$	−245.339	+	307.645i	−0.0253619	+	0.0318028i
$455$	379.130	−	450.736i	0.0390635	−	0.0464414i
$456$	−3931.78	−	4930.30i	−0.403777	−	0.506321i
$457$	729.262	−	9731.32i	0.0746464	−	0.996087i	−0.826603	−	0.562786i	$-0.809730\pi$
$457$	729.262	−	9731.32i	0.0746464	−	0.996087i	0.901249	−	0.433301i	$-0.142651\pi$
$458$	2957.44	−	912.251i	0.301730	−	0.0930713i
$459$	33.8402	+	58.6129i	0.00344123	+	0.00596038i
$460$	283.679	−	491.347i	0.0287535	−	0.0498026i
$461$	−721.474	+	3160.98i	−0.0728902	+	0.319353i	−0.998208	−	0.0598396i	$-0.980941\pi$
$461$	−721.474	+	3160.98i	−0.0728902	+	0.319353i	0.925318	+	0.379193i	$0.123798\pi$
$462$	8503.24	+	2868.24i	0.856291	+	0.288837i
$463$	−2958.29	−	12961.1i	−0.296940	−	1.30098i	−0.874657	−	0.484742i	$-0.838913\pi$
$463$	−2958.29	−	12961.1i	−0.296940	−	1.30098i	0.577717	−	0.816237i	$-0.303944\pi$
$464$	2100.20	+	647.826i	0.210128	+	0.0648159i
$465$	1993.21	−	5078.63i	0.198781	−	0.506485i
$466$	2545.68	−	6486.29i	0.253061	−	0.644789i
$467$	6462.21	+	1993.33i	0.640333	+	0.197517i	0.597885	−	0.801582i	$-0.296008\pi$
$467$	6462.21	+	1993.33i	0.640333	+	0.197517i	0.0424483	+	0.999099i	$0.486484\pi$
$468$	150.510	+	659.428i	0.0148661	+	0.0651326i
$469$	−66.3237	+	654.913i	−0.00652994	+	0.0644799i
$470$	−1015.98	+	4451.31i	−0.0997101	+	0.436859i
$471$	73.4025	−	127.137i	0.00718091	−	0.0124377i
$472$	−127.544	−	220.912i	−0.0124379	−	0.0215430i
$473$	−5417.25	+	1671.00i	−0.526608	+	0.162437i
$474$	509.313	−	6796.30i	0.0493534	−	0.658575i
$475$	7977.98	+	10004.1i	0.770642	+	0.966354i
$476$	−93.2212	+	41.9291i	−0.00897644	+	0.00403743i
$477$	−2045.58	+	2565.07i	−0.196353	+	0.246219i
$478$	2704.69	+	2509.59i	0.258807	+	0.240138i
$479$	12898.4	+	1944.13i	1.23036	+	0.185448i	0.731869	−	0.681445i	$-0.238648\pi$
$479$	12898.4	+	1944.13i	1.23036	+	0.185448i	0.498495	+	0.866893i	$0.333886\pi$
$480$	−674.878	−	460.124i	−0.0641747	−	0.0437536i
$481$	−1429.11	+	215.403i	−0.135471	+	0.0204190i
$482$	4986.67	+	2401.45i	0.471238	+	0.226936i
$483$	−3617.53	+	3184.82i	−0.340794	+	0.300030i
$484$	279.894	−	134.790i	0.0262860	−	0.0126587i
$485$	−994.857	+	678.282i	−0.0931425	+	0.0635035i
$486$	6798.72	−	6308.29i	0.634561	−	0.588786i
$487$	615.073	+	8207.57i	0.0572312	+	0.763697i	0.949814	+	0.312814i	$0.101272\pi$
$487$	615.073	+	8207.57i	0.0572312	+	0.763697i	−0.892583	+	0.450883i	$0.851109\pi$
$488$	326.103	+	830.898i	0.0302500	+	0.0770758i
$489$	19870.5			1.83757
$490$	698.881	−	2461.41i	0.0644331	−	0.226929i
$491$	−1550.93			−0.142551			−0.0712756	−	0.997457i	$-0.522707\pi$
$491$	−1550.93			−0.142551			−0.0712756	+	0.997457i	$0.522707\pi$
$492$	−3218.80	−	8201.37i	−0.294949	−	0.751517i
$493$	14.1640	+	189.006i	0.00129395	+	0.0172665i
$494$	−1439.86	+	1336.00i	−0.131139	+	0.121679i
$495$	−2163.77	+	1475.23i	−0.196473	+	0.133953i
$496$	3081.17	−	1483.81i	0.278928	−	0.134325i
$497$	−1448.79	+	3425.50i	−0.130759	+	0.309164i
$498$	10883.8	+	5241.37i	0.979348	+	0.471629i
$499$	−8618.60	+	1299.04i	−0.773189	+	0.116540i	−0.523774	−	0.851857i	$-0.675476\pi$
$499$	−8618.60	+	1299.04i	−0.773189	+	0.116540i	−0.249415	+	0.968397i	$0.580238\pi$
$500$	2910.29	+	1984.20i	0.260304	+	0.177472i
$501$	−15326.6	−	2310.12i	−1.36675	−	0.206005i
$502$	3750.66	+	3480.11i	0.333467	+	0.309412i
$503$	10983.6	−	13773.0i	0.973628	−	1.22089i	−0.00166957	−	0.999999i	$-0.500531\pi$
$503$	10983.6	−	13773.0i	0.973628	−	1.22089i	0.975298	−	0.220893i	$-0.0708971\pi$
$504$	1771.43	+	2344.42i	0.156559	+	0.207200i
$505$	2979.16	+	3735.75i	0.262516	+	0.329185i
$506$	201.215	−	2685.03i	0.0176780	−	0.235897i
$507$	−13891.6	+	4285.00i	−1.21686	+	0.375352i
$508$	2933.17	+	5080.39i	0.256177	+	0.443712i
$509$	1735.61	−	3006.17i	0.151139	−	0.261780i	−0.780507	−	0.625147i	$-0.785039\pi$
$509$	1735.61	−	3006.17i	0.151139	−	0.261780i	0.931646	+	0.363366i	$0.118373\pi$
$510$	15.6742	−	68.6732i	0.00136091	−	0.00596255i
$511$	13858.9	−	8927.58i	1.19977	−	0.772863i
$512$	−113.931	−	499.163i	−0.00983413	−	0.0430861i
$513$	5398.94	+	1665.35i	0.464657	+	0.143328i
$514$	−5248.02	+	13371.7i	−0.450350	+	1.14747i
$515$	−1793.77	+	4570.45i	−0.153481	+	0.391064i
$516$	−4188.69	−	1292.04i	−0.357359	−	0.110231i
$517$	4821.62	+	21124.9i	0.410164	+	1.79704i
$518$	−5278.22	+	3400.11i	−0.447706	+	0.288402i
$519$	−513.478	+	2249.69i	−0.0434281	+	0.190271i
$520$	−127.209	+	220.332i	−0.0107278	+	0.0185811i
$521$	540.659	+	936.449i	0.0454639	+	0.0787458i	0.887862	−	0.460110i	$-0.152190\pi$
$521$	540.659	+	936.449i	0.0454639	+	0.0787458i	−0.842398	+	0.538856i	$0.818857\pi$
$522$	5206.50	−	1605.99i	0.436556	−	0.134660i
$523$	844.941	−	11275.0i	0.0706438	−	0.942676i	−0.843459	−	0.537193i	$-0.819485\pi$
$523$	844.941	−	11275.0i	0.0706438	−	0.942676i	0.914103	−	0.405482i	$-0.132896\pi$
$524$	2241.90	+	2811.25i	0.186904	+	0.234370i
$525$	−8487.85	−	11233.4i	−0.705600	−	0.933836i
$526$	8431.71	−	10573.0i	0.698935	−	0.876437i
$527$	216.190	+	200.595i	0.0178698	+	0.0165807i
$528$	−3833.09	−	577.745i	−0.315935	−	0.0476196i
$529$	−8858.01	−	6039.29i	−0.728036	−	0.496367i
$530$	−1220.28	+	183.928i	−0.100011	+	0.0150742i
$531$	−569.750	−	274.377i	−0.0465632	−	0.0224236i
$532$	−3323.92	+	7859.03i	−0.270883	+	0.640474i
$533$	−2472.48	+	1190.68i	−0.200928	+	0.0967620i
$534$	−3012.59	+	2053.95i	−0.244134	+	0.166448i
$535$	5969.53	−	5538.92i	0.482403	−	0.447604i
$536$	−21.2490	−	283.548i	−0.00171234	−	0.0228496i
$537$	−7799.96	−	19874.0i	−0.626803	−	1.59707i
$538$	−5309.05			−0.425445
$539$	−2080.06	−	11963.6i	−0.166224	−	0.956043i
$540$	731.821			0.0583195
$541$	−771.507	−	1965.77i	−0.0613118	−	0.156220i	0.896935	−	0.442162i	$-0.145789\pi$
$541$	−771.507	−	1965.77i	−0.0613118	−	0.156220i	−0.958247	+	0.285943i	$0.907693\pi$
$542$	626.662	+	8362.22i	0.0496631	+	0.662709i
$543$	−1535.16	+	1424.42i	−0.121326	+	0.112574i
$544$	36.4813	−	24.8725i	0.00287522	−	0.00196029i
$545$	−4139.46	+	1993.46i	−0.325349	+	0.156680i
$546$	1622.19	−	1428.15i	0.127149	−	0.111940i
$547$	−19025.5	−	9162.21i	−1.48715	−	0.716175i	−0.498569	−	0.866850i	$-0.666141\pi$
$547$	−19025.5	−	9162.21i	−1.48715	−	0.716175i	−0.988583	+	0.150675i	$0.951855\pi$
$548$	−6710.72	+	1011.48i	−0.523116	+	0.0788471i
$549$	1828.30	+	1246.51i	0.142131	+	0.0969033i
$550$	7777.72	+	1172.30i	0.602987	+	0.0908857i
$551$	11598.7	+	10762.0i	0.896771	+	0.832082i
$552$	1298.06	−	1627.71i	0.100089	−	0.125507i
$553$	−8410.58	+	3782.92i	−0.646752	+	0.290897i
$554$	7167.81	+	8988.15i	0.549695	+	0.689296i
$555$	323.332	−	4314.57i	0.0247292	−	0.329988i
$556$	−8868.55	+	2735.59i	−0.676457	+	0.208659i
$557$	5308.22	+	9194.11i	0.403800	+	0.699402i	0.994181	−	0.107722i	$-0.0343558\pi$
$557$	5308.22	+	9194.11i	0.403800	+	0.699402i	−0.590381	+	0.807125i	$0.701022\pi$
$558$	4238.97	−	7342.11i	0.321595	−	0.557019i
$559$	−303.817	+	1331.11i	−0.0229877	+	0.100716i
$560$	−111.361	+	1099.63i	−0.00840333	+	0.0829786i
$561$	−74.3862	−	325.907i	−0.00559819	−	0.0245273i
$562$	−11255.5	−	3471.86i	−0.844813	−	0.260590i
$563$	2100.33	−	5351.56i	0.157226	−	0.400606i	−0.830455	−	0.557086i	$-0.811919\pi$
$563$	2100.33	−	5351.56i	0.157226	−	0.400606i	0.987681	+	0.156480i	$0.0500146\pi$
$564$	−6120.97	+	15596.0i	−0.456984	+	1.16438i
$565$	−5560.46	−	1715.18i	−0.414036	−	0.127713i
$566$	−902.340	−	3953.41i	−0.0670109	−	0.293594i
$567$	−15287.7	−	5156.70i	−1.13231	−	0.381942i
$568$	357.497	−	1566.30i	0.0264089	−	0.115705i
$569$	−3327.23	+	5762.94i	−0.245140	+	0.424596i	−0.962171	−	0.272446i	$-0.912167\pi$
$569$	−3327.23	+	5762.94i	−0.245140	+	0.424596i	0.717031	+	0.697042i	$0.245501\pi$
$570$	−2940.13	−	5092.46i	−0.216050	−	0.374210i
$571$	20698.5	−	6384.64i	1.51700	−	0.467932i	0.579221	−	0.815171i	$-0.303357\pi$
$571$	20698.5	−	6384.64i	1.51700	−	0.467932i	0.937777	+	0.347239i	$0.112881\pi$
$572$	−90.2296	+	1204.03i	−0.00659561	+	0.0880123i
$573$	14669.0	+	18394.4i	1.06947	+	1.34108i
$574$	−7674.04	+	9123.43i	−0.558029	+	0.663422i
$575$	−2633.89	+	3302.79i	−0.191027	+	0.239540i
$576$	−930.443	−	863.325i	−0.0673063	−	0.0624511i
$577$	17625.8	+	2656.66i	1.27170	+	0.191678i	0.749992	−	0.661446i	$-0.230057\pi$
$577$	17625.8	+	2656.66i	1.27170	+	0.191678i	0.521708	+	0.853124i	$0.325295\pi$
$578$	−8115.48	−	5533.04i	−0.584013	−	0.398173i
$579$	−31196.9	+	4702.17i	−2.23920	+	0.337505i
$580$	1846.48	+	889.216i	0.132191	+	0.0636598i
$581$	−795.297	−	16326.8i	−0.0567891	−	1.16583i
$582$	−3980.81	+	1917.06i	−0.283522	+	0.136537i
$583$	−4838.94	+	3299.14i	−0.343754	+	0.234367i
$584$	−5220.09	+	4843.54i	−0.369878	+	0.343197i
$585$	47.1332	+	628.949i	0.00333114	+	0.0444510i
$586$	−2773.06	−	7065.64i	−0.195485	−	0.498087i
$587$	−19880.6			−1.39789			−0.698945	−	0.715176i	$-0.746347\pi$
$587$	−19880.6			−1.39789			−0.698945	+	0.715176i	$0.746347\pi$
$588$	3882.07	−	8549.04i	0.272268	−	0.599586i
$589$	24619.7			1.72230
$590$	−86.9010	−	221.420i	−0.00606383	−	0.0154504i
$591$	−1866.32	−	24904.3i	−0.129898	−	1.73337i
$592$	1988.10	−	1844.69i	0.138024	−	0.128068i
$593$	7445.93	−	5076.55i	0.515629	−	0.351550i	−0.277380	−	0.960760i	$-0.589466\pi$
$593$	7445.93	−	5076.55i	0.515629	−	0.351550i	0.793008	+	0.609211i	$0.208514\pi$
$594$	3129.11	−	1506.90i	0.216143	−	0.104089i
$595$	−91.7827	+	25.7054i	−0.00632391	+	0.00177113i
$596$	8868.18	+	4270.69i	0.609488	+	0.293514i
$597$	−19492.4	+	2938.01i	−1.33630	+	0.201415i
$598$	−535.792	−	365.297i	−0.0366391	−	0.0249801i
$599$	11851.5	+	1786.33i	0.808415	+	0.121849i	0.540229	−	0.841518i	$-0.318338\pi$
$599$	11851.5	+	1786.33i	0.808415	+	0.121849i	0.268186	+	0.963367i	$0.413576\pi$
$600$	4458.25	+	4136.65i	0.303346	+	0.281464i
$601$	−4844.10	+	6074.31i	−0.328777	+	0.412273i	−0.918556	−	0.395292i	$-0.870644\pi$
$601$	−4844.10	+	6074.31i	−0.328777	+	0.412273i	0.589779	+	0.807565i	$0.299215\pi$
$602$	1168.35	+	5815.22i	0.0791001	+	0.393705i
$603$	−439.497	−	551.112i	−0.0296811	−	0.0372190i
$604$	−656.505	+	8760.44i	−0.0442265	+	0.590161i
$605$	276.812	−	85.3851i	0.0186016	−	0.00573784i
$606$	8766.79	+	15184.5i	0.587667	+	1.01787i
$607$	−9634.63	+	16687.7i	−0.644246	+	1.11587i	0.340229	+	0.940343i	$0.389495\pi$
$607$	−9634.63	+	16687.7i	−0.644246	+	1.11587i	−0.984475	+	0.175524i	$0.943838\pi$
$608$	820.196	−	3593.51i	0.0547094	−	0.239698i
$609$	−12448.7	−	12171.1i	−0.828319	−	0.809851i
$610$	185.210	+	811.458i	0.0122933	+	0.0538606i
$611$	4986.69	+	1538.19i	0.330180	+	0.101847i
$612$	39.9897	−	101.892i	0.00264132	−	0.00672997i
$613$	−4650.49	+	11849.3i	−0.306414	+	0.780730i	0.691862	+	0.722030i	$0.256791\pi$
$613$	−4650.49	+	11849.3i	−0.306414	+	0.780730i	−0.998276	+	0.0586997i	$0.981305\pi$
$614$	−15072.7	−	4649.30i	−0.990690	−	0.305587i
$615$	−1828.11	−	8009.49i	−0.119865	−	0.525161i
$616$	1788.11	+	4931.11i	0.116956	+	0.322533i
$617$	−3426.82	+	15013.9i	−0.223596	+	0.979638i	0.731150	+	0.682216i	$0.238984\pi$
$617$	−3426.82	+	15013.9i	−0.223596	+	0.979638i	−0.954746	+	0.297422i	$0.903873\pi$
$618$	−9008.34	+	15602.9i	−0.586357	+	1.01560i
$619$	3683.05	+	6379.24i	0.239151	+	0.414222i	0.960471	−	0.278380i	$-0.0897976\pi$
$619$	3683.05	+	6379.24i	0.239151	+	0.414222i	−0.721320	+	0.692602i	$0.756464\pi$
$620$	3047.24	−	939.948i	0.197387	−	0.0608858i
$621$	−139.394	+	1860.08i	−0.00900755	+	0.120197i
$622$	152.991	+	191.845i	0.00986237	+	0.0123670i
$623$	4387.73	+	2256.08i	0.282168	+	0.145085i
$624$	−582.079	+	729.905i	−0.0373427	+	0.0468262i
$625$	−7771.45	−	7210.85i	−0.497373	−	0.461494i
$626$	−4771.03	−	719.117i	−0.304615	−	0.0459133i
$627$	−23057.3	−	15720.2i	−1.46861	−	1.00128i
$628$	84.8495	−	12.7890i	0.00539151	−	0.000812639i
$629$	210.721	+	101.478i	0.0133577	+	0.00643273i
$630$	1307.54	+	2407.88i	0.0826881	+	0.152273i
$631$	9739.18	−	4690.14i	0.614439	−	0.295898i	−0.100661	−	0.994921i	$-0.532096\pi$
$631$	9739.18	−	4690.14i	0.614439	−	0.295898i	0.715099	+	0.699023i	$0.246381\pi$
$632$	3291.40	−	2244.04i	0.207160	−	0.141239i
$633$	29420.9	−	27298.6i	1.84735	−	1.71409i
$634$	−303.138	−	4045.10i	−0.0189892	−	0.253393i
$635$	1998.49	+	5092.07i	0.124894	+	0.318225i
$636$	−4528.40			−0.282331
$637$	−2745.75	−	1006.80i	−0.170786	−	0.0626232i
$638$	9726.15			0.603545
$639$	−1455.07	−	3707.47i	−0.0900811	−	0.229523i
$640$	−35.6782	−	476.092i	−0.00220360	−	0.0294050i
$641$	−16857.4	+	15641.3i	−1.03873	+	0.963800i	−0.999372	−	0.0354248i	$-0.988722\pi$
$641$	−16857.4	+	15641.3i	−1.03873	+	0.963800i	−0.0393575	+	0.999225i	$0.512531\pi$
$642$	24689.8	−	16833.2i	1.51780	−	1.03482i
$643$	−9719.79	+	4680.81i	−0.596129	+	0.287081i	−0.707517	−	0.706696i	$-0.750185\pi$
$643$	−9719.79	+	4680.81i	−0.596129	+	0.287081i	0.111388	+	0.993777i	$0.464470\pi$
$644$	−2773.75	−	492.503i	−0.169722	−	0.0301356i
$645$	−3682.66	−	1773.48i	−0.224813	−	0.108264i
$646$	314.314	−	47.3752i	0.0191432	−	0.00288537i
$647$	−14127.8	−	9632.19i	−0.858458	−	0.585287i	0.0521124	−	0.998641i	$-0.483405\pi$
$647$	−14127.8	−	9632.19i	−0.858458	−	0.585287i	−0.910570	+	0.413355i	$0.864357\pi$
$648$	6891.37	+	1038.71i	0.417775	+	0.0629695i
$649$	−827.500	−	767.808i	−0.0500496	−	0.0464393i
$650$	1181.10	−	1481.05i	0.0712715	−	0.0893716i
$651$	−27080.6	−	707.698i	−1.63037	−	0.0426066i
$652$	7241.43	+	9080.47i	0.434964	+	0.545427i
$653$	−1362.64	+	18183.1i	−0.0816602	+	1.08968i	0.794374	+	0.607430i	$0.207799\pi$
$653$	−1362.64	+	18183.1i	−0.0816602	+	1.08968i	−0.876034	+	0.482250i	$0.839820\pi$
$654$	−16110.3	+	4969.38i	−0.963247	+	0.297122i
$655$	1676.46	+	2903.71i	0.100007	+	0.173218i
$656$	2574.85	−	4459.78i	0.153249	−	0.265435i
$657$	−3928.25	+	17210.8i	−0.233266	+	1.02201i
$658$	22498.1	−	2792.10i	1.33293	−	0.165422i
$659$	4003.57	+	17540.8i	0.236657	+	1.03686i	0.943988	+	0.329979i	$0.107042\pi$
$659$	4003.57	+	17540.8i	0.236657	+	1.03686i	−0.707331	+	0.706882i	$0.750101\pi$
$660$	−3454.04	−	1065.43i	−0.203710	−	0.0628361i
$661$	6462.42	−	16466.0i	0.380271	−	0.968914i	−0.604740	−	0.796423i	$-0.706723\pi$
$661$	6462.42	−	16466.0i	0.380271	−	0.968914i	0.985011	−	0.172491i	$-0.0551816\pi$
$662$	−1640.71	+	4180.46i	−0.0963264	+	0.245436i
$663$	−76.9328	−	23.7306i	−0.00450652	−	0.00139008i
$664$	1571.19	+	6883.84i	0.0918284	+	0.402326i
$665$	−4157.08	+	6784.54i	−0.242413	+	0.395629i
$666$	1496.09	−	6554.82i	0.0870458	−	0.381372i
$667$	−2611.85	+	4523.86i	−0.151621	+	0.262615i
$668$	−4529.83	−	7845.89i	−0.262372	−	0.454441i
$669$	37637.0	−	11609.5i	2.17508	−	0.670924i
$670$	19.8141	−	264.401i	0.00114252	−	0.0152458i
$671$	2462.80	+	3088.26i	0.141692	+	0.177676i
$672$	−1005.48	+	3929.13i	−0.0577188	+	0.225550i
$673$	15758.4	−	19760.4i	0.902587	−	1.13181i	−0.0881630	−	0.996106i	$-0.528100\pi$
$673$	15758.4	−	19760.4i	0.902587	−	1.13181i	0.990750	−	0.135702i	$-0.0433289\pi$
$674$	−606.262	−	562.529i	−0.0346474	−	0.0321481i
$675$	−5388.11	−	812.127i	−0.307242	−	0.0463093i
$676$	−7020.72	−	4786.65i	−0.399449	−	0.272340i
$677$	7255.81	−	1093.64i	0.411911	−	0.0620855i	0.0601817	−	0.998187i	$-0.480832\pi$
$677$	7255.81	−	1093.64i	0.411911	−	0.0620855i	0.351729	+	0.936102i	$0.385594\pi$
$678$	−19238.2	−	9264.60i	−1.08973	−	0.524786i
$679$	4850.15	+	3495.81i	0.274126	+	0.197580i
$680$	37.0946	−	17.8638i	0.00209193	−	0.00100742i
$681$	−1112.46	+	758.464i	−0.0625986	+	0.0426790i
$682$	11093.9	−	10293.6i	0.622884	−	0.577952i
$683$	2098.17	+	27998.1i	0.117546	+	1.56855i	0.674671	+	0.738119i	$0.264286\pi$
$683$	2098.17	+	27998.1i	0.117546	+	1.56855i	−0.557124	+	0.830429i	$0.688095\pi$
$684$	−3338.34	−	8505.95i	−0.186615	−	0.475487i
$685$	−6328.25			−0.352978
$686$	−12672.7	+	904.056i	−0.705314	+	0.0503164i
$687$	10590.0			0.588113
$688$	−936.053	−	2385.02i	−0.0518702	−	0.132163i
$689$	105.406	+	1406.55i	0.00582825	+	0.0777725i
$690$	1423.10	−	1320.44i	0.0785167	−	0.0728528i
$691$	1473.23	−	1004.43i	0.0811060	−	0.0552971i	−0.522088	−	0.852892i	$-0.674847\pi$
$691$	1473.23	−	1004.43i	0.0811060	−	0.0552971i	0.603194	+	0.797594i	$0.293894\pi$
$692$	−1215.20	+	585.209i	−0.0667557	+	0.0321479i
$693$	10548.9	+	7603.23i	0.578236	+	0.416772i
$694$	15961.3	+	7686.55i	0.873029	+	0.420429i
$695$	−8557.52	+	1289.84i	−0.467058	+	0.0703976i
$696$	6213.64	+	4236.39i	0.338401	+	0.230718i
$697$	439.136	+	66.1891i	0.0238644	+	0.00359697i
$698$	−7780.25	−	7219.02i	−0.421901	−	0.391467i
$699$	14865.5	−	18640.7i	0.804382	−	1.00866i
$700$	2040.21	−	7972.60i	0.110161	−	0.430480i
$701$	4601.18	+	5769.70i	0.247909	+	0.310868i	0.890180	−	0.455610i	$-0.150579\pi$
$701$	4601.18	+	5769.70i	0.247909	+	0.310868i	−0.642270	+	0.766478i	$0.722007\pi$
$702$	62.5076	−	834.106i	0.00336068	−	0.0448452i
$703$	18657.1	−	5754.95i	1.00095	−	0.308751i
$704$	−1132.88	−	1962.20i	−0.0606491	−	0.105047i
$705$	−7811.39	+	13529.7i	−0.417296	+	0.722779i
$706$	4255.83	−	18646.0i	0.226870	−	0.993983i
$707$	12395.4	−	20229.9i	0.659376	−	1.07613i
$708$	−194.224	−	850.952i	−0.0103099	−	0.0451705i
$709$	18931.4	+	5839.55i	1.00280	+	0.309322i	0.752318	−	0.658800i	$-0.228936\pi$
$709$	18931.4	+	5839.55i	1.00280	+	0.309322i	0.250479	+	0.968122i	$0.419412\pi$
$710$	547.314	−	1394.53i	0.0289301	−	0.0737126i
$711$	3607.94	−	9192.88i	0.190307	−	0.484894i
$712$	−2036.50	−	628.178i	−0.107193	−	0.0330646i
$713$	1808.66	+	7924.26i	0.0949999	+	0.416222i
$714$	−347.093	+	43.0756i	−0.0181928	+	0.00225779i
$715$	−250.531	+	1097.65i	−0.0131039	+	0.0574121i
$716$	6239.51	−	10807.2i	0.325672	−	0.564081i
$717$	6312.43	+	10933.4i	0.328789	+	0.569480i
$718$	9765.54	−	3012.27i	0.507586	−	0.156569i
$719$	−1207.44	+	16112.2i	−0.0626287	+	0.835721i	0.874118	+	0.485713i	$0.161440\pi$
$719$	−1207.44	+	16112.2i	−0.0626287	+	0.835721i	−0.936747	+	0.350008i	$0.886179\pi$
$720$	−737.940	−	925.348i	−0.0381964	−	0.0478968i
$721$	24370.8	+	636.885i	1.25883	+	0.0328971i
$722$	7991.45	−	10021.0i	0.411926	−	0.516539i
$723$	13882.8	+	12881.4i	0.714120	+	0.662606i
$724$	−1210.40	−	182.438i	−0.0621327	−	0.00936500i
$725$	−12608.1	−	8596.05i	−0.645866	−	0.440344i
$726$	1051.11	−	158.430i	0.0537333	−	0.00809900i
$727$	−34241.1	−	16489.6i	−1.74681	−	0.841219i	−0.979907	−	0.199457i	$-0.936082\pi$
$727$	−34241.1	−	16489.6i	−1.74681	−	0.841219i	−0.766903	−	0.641763i	$-0.778203\pi$
$728$	1243.82	+	220.850i	0.0633227	+	0.0112435i
$729$	7400.32	−	3563.81i	0.375975	−	0.181060i
$730$	−5486.38	+	3740.55i	−0.278165	+	0.189649i
$731$	161.969	−	150.285i	0.00819511	−	0.00760395i
$732$	228.242	+	3045.68i	0.0115247	+	0.153786i
$733$	−13713.7	−	34942.0i	−0.691034	−	1.76073i	−0.647985	−	0.761653i	$-0.724388\pi$
$733$	−13713.7	−	34942.0i	−0.691034	−	1.76073i	−0.0430491	−	0.999073i	$-0.513707\pi$
$734$	−14121.5			−0.710126
$735$	4767.63	−	7343.20i	0.239261	−	0.368514i
$736$	1216.89			0.0609445
$737$	−459.710	−	1171.32i	−0.0229764	−	0.0585430i
$738$	−954.032	−	12730.7i	−0.0475859	−	0.634990i
$739$	27455.0	−	25474.5i	1.36664	−	1.26806i	0.437064	−	0.899430i	$-0.356018\pi$
$739$	27455.0	−	25474.5i	1.36664	−	1.26806i	0.929577	−	0.368628i	$-0.120172\pi$
$740$	2089.52	−	1424.61i	0.103800	−	0.0707698i
$741$	−6055.35	+	2916.11i	−0.300201	+	0.144569i
$742$	2924.11	+	5384.86i	0.144673	+	0.266421i
$743$	−19616.8	−	9446.96i	−0.968602	−	0.466454i	−0.118432	−	0.992962i	$-0.537787\pi$
$743$	−19616.8	−	9446.96i	−0.968602	−	0.466454i	−0.850170	+	0.526508i	$0.823501\pi$
$744$	11571.0	−	1744.05i	0.570179	−	0.0859407i
$745$	7583.46	+	5170.32i	0.372935	+	0.254263i
$746$	−21957.3	−	3309.53i	−1.07763	−	0.162427i
$747$	12831.5	+	11905.9i	0.628488	+	0.583152i
$748$	121.825	−	152.764i	0.00595505	−	0.00746739i
$749$	−35959.8	−	18489.7i	−1.75426	−	0.902004i
$750$	7514.55	+	9422.95i	0.365857	+	0.458770i
$751$	−2598.61	+	34676.1i	−0.126265	+	1.68488i	0.470447	+	0.882428i	$0.344093\pi$
$751$	−2598.61	+	34676.1i	−0.126265	+	1.68488i	−0.596711	+	0.802456i	$0.703526\pi$
$752$	−9357.76	+	2886.49i	−0.453780	+	0.139973i
$753$	8753.59	+	15161.7i	0.423637	+	0.733761i
$754$	1171.22	−	2028.61i	0.0565692	−	0.0979807i
$755$	−1822.85	+	7986.41i	−0.0878678	+	0.384974i
$756$	−1238.74	−	3416.09i	−0.0595932	−	0.164341i
$757$	−6018.51	−	26368.8i	−0.288965	−	1.26604i	−0.885948	−	0.463784i	$-0.846491\pi$
$757$	−6018.51	−	26368.8i	−0.288965	−	1.26604i	0.596984	−	0.802253i	$-0.296366\pi$
$758$	−19021.6	−	5867.37i	−0.911470	−	0.281151i
$759$	3365.94	−	8576.27i	0.160969	−	0.410143i
$760$	1255.69	−	3199.44i	0.0599324	−	0.152705i
$761$	14782.6	+	4559.84i	0.704166	+	0.217206i	0.626101	−	0.779742i	$-0.284650\pi$
$761$	14782.6	+	4559.84i	0.704166	+	0.217206i	0.0780649	+	0.996948i	$0.475126\pi$
$762$	4466.64	+	19569.6i	0.212348	+	0.930357i
$763$	16312.1	+	15948.4i	0.773969	+	0.756713i
$764$	−3060.06	+	13407.0i	−0.144907	+	0.634880i
$765$	51.0336	−	88.3928i	0.00241193	−	0.00417758i
$766$	14275.3	+	24725.5i	0.673352	+	1.16628i
$767$	−259.790	+	80.1347i	−0.0122301	+	0.00377249i
$768$	130.921	−	1747.02i	0.00615130	−	0.0820834i
$769$	24449.7	+	30659.0i	1.14653	+	1.43770i	0.880697	+	0.473679i	$0.157074\pi$
$769$	24449.7	+	30659.0i	1.14653	+	1.43770i	0.265830	+	0.964020i	$0.414354\pi$
$770$	963.431	+	4795.29i	0.0450904	+	0.224429i
$771$	−30645.7	+	38428.5i	−1.43149	+	1.79503i
$772$	−13517.9	−	12542.8i	−0.630209	−	0.584749i
$773$	30623.0	+	4615.68i	1.42488	+	0.214767i	0.815797	−	0.578338i	$-0.196298\pi$
$773$	30623.0	+	4615.68i	1.42488	+	0.214767i	0.609086	+	0.793105i	$0.291537\pi$
$774$	−5247.98	−	3578.01i	−0.243714	−	0.166162i
$775$	−23478.7	+	3538.85i	−1.08823	+	0.164025i
$776$	−2326.79	−	1120.52i	−0.107638	−	0.0518357i
$777$	−20687.4	+	5793.89i	−0.955156	+	0.267509i
$778$	−7900.82	+	3804.83i	−0.364085	+	0.175334i
$779$	30631.3	−	20884.0i	1.40883	−	0.960525i
$780$	−638.153	+	592.119i	−0.0292943	+	0.0271811i
$781$	−531.301	−	7089.72i	−0.0243424	−	0.324827i
$782$	38.3393	+	97.6869i	0.00175321	+	0.00446710i
$783$	−6737.91			−0.307526
$784$	5321.51	−	1341.50i	0.242416	−	0.0611107i
$785$	80.0137			0.00363798
$786$	4494.98	+	11453.0i	0.203983	+	0.519740i
$787$	670.581	+	8948.28i	0.0303731	+	0.405301i	0.991582	+	0.129480i	$0.0413307\pi$
$787$	670.581	+	8948.28i	0.0303731	+	0.405301i	−0.961209	+	0.275821i	$0.911050\pi$
$788$	10700.7	−	9928.78i	0.483751	−	0.448855i
$789$	38232.7	−	26066.6i	1.72512	−	1.17617i
$790$	3346.74	−	1611.71i	0.150724	−	0.0725847i
$791$	1405.76	+	28859.1i	0.0631898	+	1.29723i
$792$	−5060.67	−	2437.09i	−0.227050	−	0.109341i
$793$	940.695	−	141.787i	0.0421249	−	0.00634931i
$794$	−4467.43	−	3045.84i	−0.199676	−	0.136137i
$795$	−4175.45	−	629.348i	−0.186274	−	0.0280763i
$796$	−8446.28	−	7837.01i	−0.376094	−	0.348964i
$797$	23058.4	−	28914.3i	1.02480	−	1.28506i	0.0669668	−	0.997755i	$-0.478668\pi$
$797$	23058.4	−	28914.3i	1.02480	−	1.28506i	0.957838	−	0.287309i	$-0.0927607\pi$
$798$	−18794.5	+	22344.2i	−0.833734	+	0.991200i
$799$	−526.541	−	660.262i	−0.0233137	−	0.0292345i
$800$	−265.651	+	3544.87i	−0.0117402	+	0.156663i
$801$	−5048.59	+	1557.28i	−0.222701	+	0.0686940i
$802$	564.003	+	976.882i	0.0248325	+	0.0430111i
$803$	−15756.4	+	27290.9i	−0.692443	+	1.19935i
$804$	216.499	−	948.544i	0.00949668	−	0.0416077i
$805$	−2489.12	−	839.607i	−0.108981	−	0.0367606i
$806$	−811.047	−	3553.43i	−0.0354441	−	0.155291i
$807$	−17359.0	−	5354.53i	−0.757205	−	0.233567i
$808$	−3744.17	+	9539.99i	−0.163019	+	0.415366i
$809$	−1257.30	+	3203.55i	−0.0546407	+	0.139222i	−0.955588	−	0.294707i	$-0.904778\pi$
$809$	−1257.30	+	3203.55i	−0.0546407	+	0.139222i	0.900947	+	0.433929i	$0.142873\pi$
$810$	6209.89	+	1915.50i	0.269375	+	0.0830910i
$811$	926.913	+	4061.07i	0.0401336	+	0.175837i	0.991022	−	0.133696i	$-0.0426845\pi$
$811$	926.913	+	4061.07i	0.0401336	+	0.175837i	−0.950889	+	0.309533i	$0.899827\pi$
$812$	1025.31	−	10124.4i	0.0443118	−	0.437557i
$813$	−6384.86	+	27973.9i	−0.275433	+	1.20675i
$814$	6000.91	−	10393.9i	0.258393	−	0.447549i
$815$	5415.04	+	9379.13i	0.232737	+	0.403112i
$816$	144.368	−	44.5317i	0.00619350	−	0.00191044i
$817$	1378.40	−	18393.4i	0.0590257	−	0.787643i
$818$	−4959.96	−	6219.60i	−0.212006	−	0.265847i
$819$	2856.11	−	1284.62i	0.121857	−	0.0548088i
$820$	2993.98	−	3754.33i	0.127505	−	0.159887i
$821$	3434.51	+	3186.76i	0.145999	+	0.135467i	0.749791	−	0.661674i	$-0.230154\pi$
$821$	3434.51	+	3186.76i	0.145999	+	0.135467i	−0.603792	+	0.797142i	$0.706344\pi$
$822$	−22962.1	−	3460.98i	−0.974326	−	0.146856i
$823$	−23893.4	−	16290.3i	−1.01200	−	0.689967i	−0.0606711	−	0.998158i	$-0.519324\pi$
$823$	−23893.4	−	16290.3i	−1.01200	−	0.689967i	−0.951325	+	0.308191i	$0.900276\pi$
$824$	−10413.2	+	1569.53i	−0.440243	+	0.0663560i
$825$	24248.4	+	11677.4i	1.02330	+	0.492795i
$826$	−886.478	+	780.441i	−0.0373420	+	0.0328753i
$827$	−11157.4	+	5373.11i	−0.469141	+	0.225927i	−0.653491	−	0.756934i	$-0.726696\pi$
$827$	−11157.4	+	5373.11i	−0.469141	+	0.225927i	0.184350	+	0.982861i	$0.440982\pi$
$828$	2492.54	−	1699.38i	0.104615	−	0.0713256i
$829$	−20389.6	+	18918.7i	−0.854232	+	0.792612i	−0.979906	−	0.199460i	$-0.936081\pi$
$829$	−20389.6	+	18918.7i	−0.854232	+	0.792612i	0.125674	+	0.992072i	$0.459891\pi$
$830$	492.029	+	6565.67i	0.0205766	+	0.274576i
$831$	14371.4	+	36617.7i	0.599925	+	1.52858i
$832$	−545.682			−0.0227381
$833$	275.350	+	384.924i	0.0114530	+	0.0160106i
$834$	−31756.5			−1.31851
$835$	−3086.36	−	7863.92i	−0.127914	−	0.325919i
$836$	−1218.95	−	16265.8i	−0.0504286	−	0.672922i
$837$	−7685.43	+	7131.03i	−0.317380	+	0.294486i
$838$	−1750.81	+	1193.68i	−0.0721728	+	0.0492066i
$839$	21086.2	−	10154.6i	0.867673	−	0.417849i	0.0535662	−	0.998564i	$-0.482941\pi$
$839$	21086.2	−	10154.6i	0.867673	−	0.417849i	0.814107	+	0.580715i	$0.197227\pi$
$840$	−1473.17	+	3483.15i	−0.0605110	+	0.143072i
$841$	4973.13	+	2394.93i	0.203909	+	0.0981973i
$842$	13850.9	−	2087.69i	0.566905	−	0.0854472i
$843$	−33300.4	−	22703.9i	−1.36053	−	0.927595i
$844$	23196.9	+	3496.37i	0.946054	+	0.142595i
$845$	−5808.29	−	5389.30i	−0.236463	−	0.219405i
$846$	−15136.4	+	18980.4i	−0.615130	+	0.771349i
$847$	−867.125	−	1147.61i	−0.0351768	−	0.0465552i
$848$	−1650.29	−	2069.40i	−0.0668293	−	0.0838013i
$849$	1036.90	−	13836.5i	0.0419157	−	0.559326i
$850$	−292.937	+	90.3592i	−0.0118208	+	0.00364623i
$851$	3222.95	+	5582.32i	0.129825	+	0.224864i
$852$	2748.62	−	4760.75i	0.110524	−	0.191433i
$853$	5034.98	−	22059.7i	0.202104	−	0.885475i	−0.767549	−	0.640990i	$-0.778524\pi$
$853$	5034.98	−	22059.7i	0.202104	−	0.885475i	0.969653	−	0.244485i	$-0.0786188\pi$
$854$	3474.33	−	2238.09i	0.139214	−	0.0896789i
$855$	−1896.01	−	8306.94i	−0.0758386	−	0.332271i
$856$	16690.2	+	5148.26i	0.666426	+	0.205565i
$857$	−9765.25	+	24881.5i	−0.389235	+	0.991756i	0.593184	+	0.805067i	$0.297871\pi$
$857$	−9765.25	+	24881.5i	−0.389235	+	0.991756i	−0.982419	+	0.186688i	$0.940224\pi$
$858$	−1509.37	+	3845.81i	−0.0600571	+	0.153023i
$859$	−42451.1	−	13094.4i	−1.68616	−	0.520112i	−0.704332	−	0.709871i	$-0.748753\pi$
$859$	−42451.1	−	13094.4i	−1.68616	−	0.520112i	−0.981831	+	0.189759i	$0.939229\pi$
$860$	−531.630	−	2329.22i	−0.0210796	−	0.0923557i
$861$	−34293.3	+	22091.0i	−1.35739	+	0.874402i
$862$	5922.58	−	25948.5i	0.234018	−	1.02530i
$863$	1741.86	−	3016.98i	0.0687062	−	0.119003i	−0.829626	−	0.558320i	$-0.811446\pi$
$863$	1741.86	−	3016.98i	0.0687062	−	0.119003i	0.898332	+	0.439317i	$0.144780\pi$
$864$	784.816	+	1359.34i	0.0309028	+	0.0535251i
$865$	−1201.82	+	370.712i	−0.0472405	+	0.0145718i
$866$	−508.662	+	6787.62i	−0.0199596	+	0.266343i
$867$	−20954.7	−	26276.3i	−0.820828	−	1.02929i
$868$	−9545.61	−	12633.3i	−0.373271	−	0.494010i
$869$	10991.3	−	13782.6i	0.429061	−	0.538025i
$870$	5140.58	+	4769.76i	0.200324	+	0.185874i
$871$	−299.663	−	45.1670i	−0.0116575	−	0.00175709i
$872$	−8142.04	−	5551.15i	−0.316197	−	0.215580i
$873$	−6330.75	+	954.207i	−0.245433	+	0.0369931i
$874$	7892.92	+	3801.03i	0.305471	+	0.147107i
$875$	6352.78	−	15020.4i	0.245444	−	0.580324i
$876$	−21953.1	+	10572.1i	−0.846721	+	0.407759i
$877$	13866.0	−	9453.65i	0.533889	−	0.363999i	−0.266165	−	0.963927i	$-0.585757\pi$
$877$	13866.0	−	9453.65i	0.533889	−	0.363999i	0.800054	+	0.599928i	$0.204804\pi$
$878$	22627.9	−	20995.6i	0.869766	−	0.807025i
$879$	−1940.88	−	25899.3i	−0.0744759	−	0.993812i
$880$	−771.879	−	1966.71i	−0.0295682	−	0.0753386i
$881$	4445.31			0.169996			0.0849978	−	0.996381i	$-0.472912\pi$
$881$	4445.31			0.169996			0.0849978	+	0.996381i	$0.472912\pi$
$882$	9026.58	−	10179.3i	0.344604	−	0.388610i
$883$	−18632.9			−0.710133			−0.355066	−	0.934841i	$-0.615542\pi$
$883$	−18632.9			−0.710133			−0.355066	+	0.934841i	$0.615542\pi$
$884$	−17.1923	−	43.8051i	−0.000654115	−	0.00166666i
$885$	−60.8226	−	811.621i	−0.00231020	−	0.0308275i
$886$	−16527.2	+	15335.0i	−0.626686	+	0.581479i
$887$	11716.6	−	7988.24i	0.443523	−	0.302389i	−0.320889	−	0.947117i	$-0.603982\pi$
$887$	11716.6	−	7988.24i	0.443523	−	0.302389i	0.764412	+	0.644728i	$0.223029\pi$
$888$	8360.96	−	4026.43i	0.315963	−	0.152160i
$889$	20386.6	−	17948.0i	0.769117	−	0.677118i
$890$	−1790.47	−	862.247i	−0.0674346	−	0.0324748i
$891$	30496.4	−	4596.60i	1.14665	−	0.172830i
$892$	19021.5	+	12968.6i	0.713997	+	0.486795i
$893$	−69711.9	−	10507.4i	−2.61234	−	0.393747i
$894$	24689.0	+	22908.0i	0.923627	+	0.857000i
$895$	7255.16	−	9097.68i	0.270964	−	0.339779i
$896$	−2161.97	+	972.414i	−0.0806098	+	0.0362568i
$897$	−1383.45	−	1734.79i	−0.0514961	−	0.0645741i
$898$	447.805	−	5975.54i	0.0166408	−	0.222056i
$899$	−28056.0	+	8654.14i	−1.04085	+	0.321059i
$900$	4406.27	+	7631.89i	0.163195	+	0.282663i
$901$	114.129	−	197.677i	0.00421996	−	0.00730919i
$902$	5071.04	−	22217.7i	0.187192	−	0.820142i
$903$	−2044.90	+	20192.3i	−0.0753598	+	0.744140i
$904$	−2777.23	−	12167.8i	−0.102178	−	0.447672i
$905$	−1090.70	−	336.437i	−0.0400621	−	0.0123575i
$906$	−10982.1	+	27981.8i	−0.402709	+	1.02609i
$907$	3312.47	−	8440.05i	0.121267	−	0.308983i	−0.857331	−	0.514766i	$-0.827879\pi$
$907$	3312.47	−	8440.05i	0.121267	−	0.308983i	0.978598	+	0.205783i	$0.0659742\pi$
$908$	−752.022	−	231.968i	−0.0274854	−	0.00847811i
$909$	5653.45	+	24769.4i	0.206285	+	0.903793i
$910$	1116.18	+	376.500i	0.0406604	+	0.0137152i
$911$	−2031.10	+	8898.83i	−0.0738676	+	0.323635i	−0.998339	−	0.0576169i	$-0.981650\pi$
$911$	−2031.10	+	8898.83i	−0.0738676	+	0.323635i	0.924471	+	0.381252i	$0.124507\pi$
$912$	6306.09	−	10922.5i	0.228964	−	0.396578i
$913$	15623.3	+	27060.3i	0.566325	+	0.980903i
$914$	18650.1	−	5752.80i	0.674936	−	0.208190i
$915$	−212.830	+	2840.02i	−0.00768955	+	0.102610i
$916$	3859.33	+	4839.45i	0.139210	+	0.174563i
$917$	10716.6	−	12740.7i	0.385926	−	0.458815i
$918$	−84.3960	+	105.829i	−0.00303429	+	0.00380488i
$919$	−12811.5	−	11887.3i	−0.459861	−	0.426689i	0.415917	−	0.909403i	$-0.363461\pi$
$919$	−12811.5	−	11887.3i	−0.459861	−	0.426689i	−0.875778	+	0.482714i	$0.839651\pi$
$920$	1122.04	+	169.121i	0.0402094	+	0.00606060i
$921$	−44593.9	−	30403.6i	−1.59546	−	1.08777i
$922$	−6412.12	+	966.472i	−0.229037	+	0.0345218i
$923$	−1542.70	−	742.925i	−0.0550147	−	0.0264937i
$924$	873.228	+	17926.7i	0.0310899	+	0.638251i
$925$	−16965.2	+	8170.02i	−0.603041	+	0.290409i
$926$	21968.7	−	14978.0i	0.779630	−	0.531543i
$927$	−19137.3	+	17756.8i	−0.678050	+	0.629138i
$928$	328.490	+	4383.40i	0.0116199	+	0.155056i
$929$	−9499.27	−	24203.7i	−0.335480	−	0.854789i	−0.994698	−	0.102837i	$-0.967208\pi$
$929$	−9499.27	−	24203.7i	−0.335480	−	0.854789i	0.659218	−	0.751952i	$-0.270887\pi$
$930$	10911.5			0.384735
$931$	38706.4	+	7920.91i	1.36257	+	0.278837i
$932$	13935.9			0.489792
$933$	306.746	+	781.576i	0.0107636	+	0.0274251i
$934$	1010.75	+	13487.5i	0.0354097	+	0.472510i
$935$	133.561	−	123.927i	0.00467156	−	0.00433458i
$936$	−1117.71	+	762.044i	−0.0390316	+	0.0266113i
$937$	−31357.1	+	15100.8i	−1.09327	+	0.526491i	−0.891536	−	0.452950i	$-0.850372\pi$
$937$	−31357.1	+	15100.8i	−1.09327	+	0.526491i	−0.201733	+	0.979440i	$0.564657\pi$
$938$	−1267.74	+	355.055i	−0.0441293	+	0.0123592i
$939$	−14874.5	−	7163.20i	−0.516946	−	0.248948i
$940$	−9029.57	+	1360.99i	−0.313311	+	0.0472240i
$941$	−13417.2	−	9147.70i	−0.464813	−	0.316904i	0.308170	−	0.951331i	$-0.400284\pi$
$941$	−13417.2	−	9147.70i	−0.464813	−	0.316904i	−0.772982	+	0.634427i	$0.781236\pi$
$942$	290.331	+	43.7603i	0.0100419	+	0.00151357i
$943$	8972.18	+	8324.97i	0.309835	+	0.287485i
$944$	318.089	−	398.871i	0.0109671	−	0.0137523i
$945$	−667.428	−	3321.99i	−0.0229751	−	0.114354i
$946$	−7069.27	−	8864.59i	−0.242962	−	0.304665i
$947$	1605.80	−	21427.9i	0.0551018	−	0.735283i	−0.899409	−	0.437108i	$-0.856003\pi$
$947$	1605.80	−	21427.9i	0.0551018	−	0.735283i	0.954511	−	0.298175i	$-0.0963781\pi$
$948$	13025.1	−	4017.73i	0.446242	−	0.137647i
$949$	3794.75	+	6572.70i	0.129803	+	0.224825i
$950$	−12795.7	+	22162.8i	−0.436997	+	0.756900i
$951$	3088.58	−	13532.0i	0.105315	−	0.461413i
$952$	−146.176	−	142.917i	−0.00497648	−	0.00486553i
$953$	−4491.49	−	19678.5i	−0.152669	−	0.668886i	−0.992103	−	0.125425i	$-0.959971\pi$
$953$	−4491.49	−	19678.5i	−0.152669	−	0.668886i	0.839434	−	0.543461i	$-0.182887\pi$
$954$	−6270.18	−	1934.09i	−0.212793	−	0.0656380i
$955$	−4684.84	+	11936.8i	−0.158741	+	0.404466i
$956$	−2695.95	+	6869.17i	−0.0912063	+	0.232390i
$957$	31801.5	+	9809.47i	1.07419	+	0.331343i
$958$	5805.18	+	25434.2i	0.195780	+	0.857766i
$959$	10711.7	+	29539.8i	0.360687	+	0.994673i
$960$	363.514	−	1592.66i	0.0122212	−	0.0535446i
$961$	−7946.87	+	13764.4i	−0.266754	+	0.462031i
$962$	−1445.25	−	2503.25i	−0.0484374	−	0.0838960i
$963$	41375.9	−	12762.8i	1.38455	−	0.427076i
$964$	−827.230	+	11038.6i	−0.0276383	+	0.368807i
$965$	−10721.2	−	13443.9i	−0.357644	−	0.448472i
$966$	−8572.60	−	4407.85i	−0.285527	−	0.146812i
$967$	28415.0	−	35631.3i	0.944949	−	1.18493i	−0.0376686	−	0.999290i	$-0.511993\pi$
$967$	28415.0	−	35631.3i	0.944949	−	1.18493i	0.982618	−	0.185639i	$-0.0594354\pi$
$968$	455.458	+	422.603i	0.0151229	+	0.0140320i
$969$	1075.49	+	162.104i	0.0356550	+	0.00537413i
$970$	−1989.71	−	1356.56i	−0.0658617	−	0.0449038i
$971$	3005.66	−	453.030i	0.0993369	−	0.0149726i	−0.0991857	−	0.995069i	$-0.531624\pi$
$971$	3005.66	−	453.030i	0.0993369	−	0.0149726i	0.198523	+	0.980096i	$0.436386\pi$
$972$	16712.2	+	8048.15i	0.551484	+	0.265581i
$973$	20506.0	+	37762.6i	0.675634	+	1.24421i
$974$	−14831.0	+	7142.24i	−0.487902	+	0.234961i
$975$	5355.56	−	3651.36i	0.175913	−	0.119936i
$976$	−1308.64	+	1214.24i	−0.0429187	+	0.0398228i
$977$	2735.23	+	36499.1i	0.0895679	+	1.19520i	0.843088	+	0.537776i	$0.180735\pi$
$977$	2735.23	+	36499.1i	0.0895679	+	1.19520i	−0.753520	+	0.657425i	$0.771646\pi$
$978$	14519.0	+	36993.8i	0.474710	+	1.20954i
$979$	−9431.16			−0.307887
$980$	5093.19	−	497.371i	0.166016	−	0.0162122i
$981$	−24429.4			−0.795077
$982$	−1133.24	−	2887.45i	−0.0368260	−	0.0938311i
$983$	−191.494	−	2555.31i	−0.00621333	−	0.0829111i	0.993235	−	0.116121i	$-0.0370460\pi$
$983$	−191.494	−	2555.31i	−0.00621333	−	0.0829111i	−0.999448	+	0.0332099i	$0.989427\pi$
$984$	12917.0	−	11985.2i	0.418473	−	0.388286i
$985$	11246.5	−	7667.76i	0.363802	−	0.248036i
$986$	−341.532	+	164.473i	−0.0110310	+	0.00531226i
$987$	76378.0	+	13561.5i	2.46316	+	0.437354i
$988$	−3539.37	−	1704.47i	−0.113970	−	0.0548851i
$989$	6021.50	−	907.595i	0.193602	−	0.0291808i
$990$	−4327.54	−	2950.47i	−0.138928	−	0.0947192i
$991$	25486.6	+	3841.49i	0.816963	+	0.123137i	0.544212	−	0.838948i	$-0.316829\pi$
$991$	25486.6	+	3841.49i	0.816963	+	0.123137i	0.272750	+	0.962085i	$0.412067\pi$
$992$	5013.84	+	4652.16i	0.160473	+	0.148897i
$993$	−9580.90	+	12014.1i	−0.306184	+	0.383942i
$994$	−7436.02	−	194.326i	−0.237280	−	0.00620085i
$995$	−6698.80	−	8400.03i	−0.213434	−	0.267637i
$996$	−1805.50	+	24092.7i	−0.0574391	+	0.766472i
$997$	−23255.9	+	7173.50i	−0.738738	+	0.227870i	−0.641213	−	0.767363i	$-0.721569\pi$
$997$	−23255.9	+	7173.50i	−0.738738	+	0.227870i	−0.0975246	+	0.995233i	$0.531092\pi$
$998$	−8715.95	−	15096.5i	−0.276451	−	0.478828i
$999$	−4157.20	+	7200.48i	−0.131660	+	0.228041i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	98.4.g.b.65.6	✓	84
49.46	even	21	inner	98.4.g.b.95.6	yes	84

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
98.4.g.b.65.6	✓	84	1.1	even	1	trivial
98.4.g.b.95.6	yes	84	49.46	even	21	inner

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)

\(f(q)\)	\(=\)	\(q+(0.730682 + 1.86175i) q^{2} +(0.511409 + 6.82428i) q^{3} +(-2.93221 + 2.72069i) q^{4} +(-3.08179 + 2.10113i) q^{5} +(-12.3314 + 5.93850i) q^{6} +(15.0244 + 10.8290i) q^{7} +(-7.20775 - 3.47107i) q^{8} +(-19.6109 + 2.95586i) q^{9} +O(q^{10})\)	\(q+(0.730682 + 1.86175i) q^{2} +(0.511409 + 6.82428i) q^{3} +(-2.93221 + 2.72069i) q^{4} +(-3.08179 + 2.10113i) q^{5} +(-12.3314 + 5.93850i) q^{6} +(15.0244 + 10.8290i) q^{7} +(-7.20775 - 3.47107i) q^{8} +(-19.6109 + 2.95586i) q^{9} +(-6.16357 - 4.20225i) q^{10} +(-35.0071 - 5.27647i) q^{11} +(-20.0663 - 18.6188i) q^{12} +(-5.31605 + 6.66612i) q^{13} +(-9.18287 + 35.8842i) q^{14} +(-15.9147 - 19.9564i) q^{15} +(1.19568 - 15.9553i) q^{16} +(1.31849 - 0.406702i) q^{17} +(-19.8324 - 34.3507i) q^{18} +(57.5926 - 99.7534i) q^{19} +(3.31992 - 14.5455i) q^{20} +(-66.2168 + 108.069i) q^{21} +(-15.7556 - 69.0297i) q^{22} +(36.3383 + 11.2089i) q^{23} +(20.0015 - 50.9629i) q^{24} +(-40.5850 + 103.409i) q^{25} +(-16.2950 - 5.02633i) q^{26} +(10.9149 + 47.8212i) q^{27} +(-73.5171 + 9.12375i) q^{28} +(-30.5667 + 133.921i) q^{29} +(25.5253 - 44.2110i) q^{30} +(106.870 + 185.104i) q^{31} +(30.5783 - 9.43217i) q^{32} +(18.1052 - 241.597i) q^{33} +(1.72058 + 2.15753i) q^{34} +(-69.0551 - 1.80462i) q^{35} +(49.4612 - 62.0223i) q^{36} +(124.256 + 115.293i) q^{37} +(227.797 + 34.3349i) q^{38} +(-48.2102 - 32.8691i) q^{39} +(29.5059 - 4.44730i) q^{40} +(289.983 + 139.648i) q^{41} +(-249.580 - 44.3150i) q^{42} +(144.275 - 69.4793i) q^{43} +(117.004 - 79.7717i) q^{44} +(54.2259 - 50.3143i) q^{45} +(5.68364 + 75.8429i) q^{46} +(-223.608 - 569.743i) q^{47} +109.495 q^{48} +(108.464 + 325.399i) q^{49} -222.176 q^{50} +(3.44974 + 8.78979i) q^{51} +(-2.54868 - 34.0098i) q^{52} +(121.268 - 112.520i) q^{53} +(-81.0557 + 55.2628i) q^{54} +(118.971 - 57.2933i) q^{55} +(-70.7037 - 130.204i) q^{56} +(710.199 + 342.014i) q^{57} +(-271.662 + 40.9465i) q^{58} +(26.3454 + 17.9620i) q^{59} +(100.961 + 15.2174i) q^{60} +(-81.7903 - 75.8903i) q^{61} +(-266.529 + 334.217i) q^{62} +(-326.650 - 167.957i) q^{63} +(39.9033 + 50.0372i) q^{64} +(2.37658 - 31.7132i) q^{65} +(463.021 - 142.823i) q^{66} +(17.7714 + 30.7810i) q^{67} +(-2.75959 + 4.77975i) q^{68} +(-57.9089 + 253.715i) q^{69} +(-47.0976 - 129.882i) q^{70} +(44.6871 + 195.787i) q^{71} +(151.610 + 46.7656i) q^{72} +(325.201 - 828.599i) q^{73} +(-123.854 + 315.576i) q^{74} +(-726.446 - 224.079i) q^{75} +(102.525 + 449.189i) q^{76} +(-468.821 - 458.368i) q^{77} +(25.9677 - 113.772i) q^{78} +(-248.975 + 431.237i) q^{79} +(29.8392 + 51.6830i) q^{80} +(-832.448 + 256.776i) q^{81} +(-48.1048 + 641.913i) q^{82} +(-550.297 - 690.051i) q^{83} +(-99.8604 - 497.035i) q^{84} +(-3.20879 + 4.02369i) q^{85} +(234.772 + 217.837i) q^{86} +(-929.549 - 140.107i) q^{87} +(234.007 + 159.543i) q^{88} +(263.423 - 39.7046i) q^{89} +(133.294 + 64.1912i) q^{90} +(-152.058 + 42.5866i) q^{91} +(-137.047 + 65.9985i) q^{92} +(-1208.55 + 823.975i) q^{93} +(897.332 - 832.602i) q^{94} +(32.1062 + 428.428i) q^{95} +(80.0058 + 203.851i) q^{96} +322.818 q^{97} +(-526.558 + 439.696i) q^{98} +702.116 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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