LMFDB - Embedded newform 98.4.g.b.65.2

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			65.2
Character	$\chi$	$=$	98.65
Dual form			98.4.g.b.95.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.730682 + 1.86175i) q^{2} +(-0.641325 - 8.55788i) q^{3} +(-2.93221 + 2.72069i) q^{4} +(-16.2940 + 11.1091i) q^{5} +(15.4640 - 7.44707i) q^{6} +(11.3799 + 14.6116i) q^{7} +(-7.20775 - 3.47107i) q^{8} +(-46.1276 + 6.95262i) q^{9} +O(q^{10})$	\(q+(0.730682 + 1.86175i) q^{2} +(-0.641325 - 8.55788i) q^{3} +(-2.93221 + 2.72069i) q^{4} +(-16.2940 + 11.1091i) q^{5} +(15.4640 - 7.44707i) q^{6} +(11.3799 + 14.6116i) q^{7} +(-7.20775 - 3.47107i) q^{8} +(-46.1276 + 6.95262i) q^{9} +(-32.5880 - 22.2181i) q^{10} +(28.1812 + 4.24763i) q^{11} +(25.1638 + 23.3486i) q^{12} +(-51.6819 + 64.8071i) q^{13} +(-18.8880 + 31.8629i) q^{14} +(105.520 + 132.318i) q^{15} +(1.19568 - 15.9553i) q^{16} +(-76.1674 + 23.4945i) q^{17} +(-46.6486 - 80.7978i) q^{18} +(11.6097 - 20.1085i) q^{19} +(17.5531 - 76.9050i) q^{20} +(117.746 - 106.758i) q^{21} +(12.6835 + 55.5699i) q^{22} +(-78.6635 - 24.2645i) q^{23} +(-25.0825 + 63.9092i) q^{24} +(96.4154 - 245.663i) q^{25} +(-158.417 - 48.8653i) q^{26} +(37.5220 + 164.394i) q^{27} +(-73.1218 - 11.8831i) q^{28} +(-17.9210 + 78.5170i) q^{29} +(-169.241 + 293.133i) q^{30} +(-89.9718 - 155.836i) q^{31} +(30.5783 - 9.43217i) q^{32} +(18.2774 - 243.895i) q^{33} +(-99.3950 - 124.637i) q^{34} +(-347.745 - 111.662i) q^{35} +(116.340 - 145.885i) q^{36} +(163.100 + 151.334i) q^{37} +(45.9200 + 6.92133i) q^{38} +(587.756 + 400.725i) q^{39} +(156.003 - 23.5137i) q^{40} +(-144.577 - 69.6244i) q^{41} +(284.792 + 141.207i) q^{42} +(246.354 - 118.638i) q^{43} +(-94.1896 + 64.2174i) q^{44} +(674.366 - 625.720i) q^{45} +(-12.3037 - 164.181i) q^{46} +(75.3177 + 191.906i) q^{47} -137.310 q^{48} +(-83.9971 + 332.556i) q^{49} +527.811 q^{50} +(249.911 + 636.764i) q^{51} +(-24.7779 - 330.638i) q^{52} +(-246.303 + 228.535i) q^{53} +(-278.644 + 189.977i) q^{54} +(-506.371 + 243.856i) q^{55} +(-31.3054 - 144.817i) q^{56} +(-179.532 - 86.4581i) q^{57} +(-159.273 + 24.0066i) q^{58} +(-250.342 - 170.680i) q^{59} +(-669.401 - 100.896i) q^{60} +(430.697 + 399.629i) q^{61} +(224.386 - 281.371i) q^{62} +(-626.515 - 594.878i) q^{63} +(39.9033 + 50.0372i) q^{64} +(122.159 - 1630.10i) q^{65} +(467.427 - 144.182i) q^{66} +(286.873 + 496.879i) q^{67} +(159.417 - 276.119i) q^{68} +(-157.204 + 688.754i) q^{69} +(-46.2051 - 729.002i) q^{70} +(-89.5147 - 392.190i) q^{71} +(356.609 + 109.999i) q^{72} +(-69.0252 + 175.873i) q^{73} +(-162.572 + 414.228i) q^{74} +(-2164.18 - 667.563i) q^{75} +(20.6672 + 90.5487i) q^{76} +(258.634 + 460.109i) q^{77} +(-316.587 + 1387.06i) q^{78} +(-60.5207 + 104.825i) q^{79} +(157.765 + 273.258i) q^{80} +(179.248 - 55.2908i) q^{81} +(23.9836 - 320.038i) q^{82} +(100.596 + 126.144i) q^{83} +(-54.7994 + 633.388i) q^{84} +(980.069 - 1228.97i) q^{85} +(400.879 + 371.962i) q^{86} +(683.433 + 103.011i) q^{87} +(-188.379 - 128.435i) q^{88} +(-671.061 + 101.146i) q^{89} +(1657.68 + 798.297i) q^{90} +(-1535.07 - 17.6588i) q^{91} +(296.674 - 142.871i) q^{92} +(-1275.92 + 869.910i) q^{93} +(-302.248 + 280.445i) q^{94} +(34.2190 + 456.621i) q^{95} +(-100.330 - 255.637i) q^{96} +1535.55 q^{97} +(-680.510 + 86.6114i) q^{98} -1329.46 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
$3$	−0.641325	−	8.55788i	−0.123423	−	1.64697i	−0.624110	−	0.781337i	$-0.714538\pi$
$3$	−0.641325	−	8.55788i	−0.123423	−	1.64697i	0.500687	−	0.865628i	$-0.333081\pi$
$4$	−2.93221	+	2.72069i	−0.366526	+	0.340086i
$5$	−16.2940	+	11.1091i	−1.45738	+	0.993624i	−0.463158	+	0.886276i	$0.653284\pi$
$5$	−16.2940	+	11.1091i	−1.45738	+	0.993624i	−0.994221	+	0.107348i	$0.965764\pi$
$6$	15.4640	−	7.44707i	1.05219	−	0.506709i
$7$	11.3799	+	14.6116i	0.614455	+	0.788952i
$7$	11.3799	+	14.6116i	0.614455	+	0.788952i
$8$	−7.20775	−	3.47107i	−0.318541	−	0.153401i
$9$	−46.1276	+	6.95262i	−1.70843	+	0.257504i
$10$	−32.5880	−	22.2181i	−1.03052	−	0.702598i
$11$	28.1812	+	4.24763i	0.772450	+	0.116428i	0.523428	−	0.852070i	$-0.324653\pi$
$11$	28.1812	+	4.24763i	0.772450	+	0.116428i	0.249022	+	0.968498i	$0.419891\pi$
$12$	25.1638	+	23.3486i	0.605348	+	0.561681i
$13$	−51.6819	+	64.8071i	−1.10261	+	1.38263i	−0.186148	+	0.982522i	$0.559600\pi$
$13$	−51.6819	+	64.8071i	−1.10261	+	1.38263i	−0.916466	+	0.400113i	$0.868971\pi$
$14$	−18.8880	+	31.8629i	−0.360574	+	0.608265i
$15$	105.520	+	132.318i	1.81634	+	2.27762i
$16$	1.19568	−	15.9553i	0.0186825	−	0.249301i
$17$	−76.1674	+	23.4945i	−1.08666	+	0.335192i	−0.785804	−	0.618476i	$-0.787750\pi$
$17$	−76.1674	+	23.4945i	−1.08666	+	0.335192i	−0.300861	+	0.953668i	$0.597274\pi$
$18$	−46.6486	−	80.7978i	−0.610844	−	1.05801i
$19$	11.6097	−	20.1085i	0.140181	−	0.242801i	−0.787384	−	0.616463i	$-0.788565\pi$
$19$	11.6097	−	20.1085i	0.140181	−	0.242801i	0.927565	+	0.373663i	$0.121898\pi$
$20$	17.5531	−	76.9050i	0.196249	−	0.859824i
$21$	117.746	−	106.758i	1.22354	−	1.10936i
$22$	12.6835	+	55.5699i	0.122915	+	0.538525i
$23$	−78.6635	−	24.2645i	−0.713151	−	0.219978i	−0.0831106	−	0.996540i	$-0.526485\pi$
$23$	−78.6635	−	24.2645i	−0.713151	−	0.219978i	−0.630040	+	0.776562i	$0.716962\pi$
$24$	−25.0825	+	63.9092i	−0.213331	+	0.543558i
$25$	96.4154	−	245.663i	0.771324	−	1.96530i
$26$	−158.417	−	48.8653i	−1.19493	−	0.368588i
$27$	37.5220	+	164.394i	0.267448	+	1.17177i
$28$	−73.1218	−	11.8831i	−0.493525	−	0.0802034i
$29$	−17.9210	+	78.5170i	−0.114753	+	0.502767i	0.884584	+	0.466380i	$0.154442\pi$
$29$	−17.9210	+	78.5170i	−0.114753	+	0.502767i	−0.999338	+	0.0363871i	$0.988415\pi$
$30$	−169.241	+	293.133i	−1.02996	+	1.78395i
$31$	−89.9718	−	155.836i	−0.521272	−	0.902869i	−0.999694	−	0.0247390i	$-0.992125\pi$
$31$	−89.9718	−	155.836i	−0.521272	−	0.902869i	0.478422	−	0.878130i	$-0.341209\pi$
$32$	30.5783	−	9.43217i	0.168923	−	0.0521058i
$33$	18.2774	−	243.895i	0.0964149	−	1.28657i
$34$	−99.3950	−	124.637i	−0.501356	−	0.628681i
$35$	−347.745	−	111.662i	−1.67942	−	0.539264i
$36$	116.340	−	145.885i	0.538610	−	0.675396i
$37$	163.100	+	151.334i	0.724687	+	0.672412i	0.953614	−	0.301032i	$-0.0973311\pi$
$37$	163.100	+	151.334i	0.724687	+	0.672412i	−0.228927	+	0.973444i	$0.573522\pi$
$38$	45.9200	+	6.92133i	0.196032	+	0.0295470i
$39$	587.756	+	400.725i	2.41324	+	1.64532i
$40$	156.003	−	23.5137i	0.616657	−	0.0929461i
$41$	−144.577	−	69.6244i	−0.550709	−	0.265207i	0.137769	−	0.990464i	$-0.456007\pi$
$41$	−144.577	−	69.6244i	−0.550709	−	0.265207i	−0.688478	+	0.725257i	$0.741721\pi$
$42$	284.792	+	141.207i	1.04629	+	0.518779i
$43$	246.354	−	118.638i	0.873688	−	0.420746i	0.0573727	−	0.998353i	$-0.481728\pi$
$43$	246.354	−	118.638i	0.873688	−	0.420746i	0.816315	+	0.577607i	$0.196013\pi$
$44$	−94.1896	+	64.2174i	−0.322719	+	0.220026i
$45$	674.366	−	625.720i	2.23397	−	2.07282i
$46$	−12.3037	−	164.181i	−0.0394365	−	0.526243i
$47$	75.3177	+	191.906i	0.233749	+	0.595584i	0.998830	−	0.0483502i	$-0.0153964\pi$
$47$	75.3177	+	191.906i	0.233749	+	0.595584i	−0.765081	+	0.643934i	$0.777301\pi$
$48$	−137.310			−0.412896
$49$	−83.9971	+	332.556i	−0.244889	+	0.969551i
$50$	527.811			1.49287
$51$	249.911	+	636.764i	0.686169	+	1.74833i
$52$	−24.7779	−	330.638i	−0.0660784	−	0.881755i
$53$	−246.303	+	228.535i	−0.638344	+	0.592297i	−0.931488	−	0.363771i	$-0.881489\pi$
$53$	−246.303	+	228.535i	−0.638344	+	0.592297i	0.293144	+	0.956068i	$0.405298\pi$
$54$	−278.644	+	189.977i	−0.702198	+	0.478751i
$55$	−506.371	+	243.856i	−1.24144	+	0.597845i
$56$	−31.3054	−	144.817i	−0.0747029	−	0.345571i
$57$	−179.532	−	86.4581i	−0.417186	−	0.200906i
$58$	−159.273	+	24.0066i	−0.360580	+	0.0543487i
$59$	−250.342	−	170.680i	−0.552403	−	0.376622i	0.254712	−	0.967017i	$-0.418019\pi$
$59$	−250.342	−	170.680i	−0.552403	−	0.376622i	−0.807114	+	0.590395i	$0.798972\pi$
$60$	−669.401	−	100.896i	−1.44032	−	0.217094i
$61$	430.697	+	399.629i	0.904018	+	0.838807i	0.987486	−	0.157704i	$-0.0504092\pi$
$61$	430.697	+	399.629i	0.904018	+	0.838807i	−0.0834680	+	0.996510i	$0.526600\pi$
$62$	224.386	−	281.371i	0.459630	−	0.576358i
$63$	−626.515	−	594.878i	−1.25291	−	1.18964i
$64$	39.9033	+	50.0372i	0.0779362	+	0.0977289i
$65$	122.159	−	1630.10i	0.233108	−	3.11061i
$66$	467.427	−	144.182i	0.871761	−	0.268903i
$67$	286.873	+	496.879i	0.523091	+	0.906021i	0.999639	+	0.0268723i	$0.00855474\pi$
$67$	286.873	+	496.879i	0.523091	+	0.906021i	−0.476547	+	0.879149i	$0.658112\pi$
$68$	159.417	−	276.119i	0.284297	−	0.492416i
$69$	−157.204	+	688.754i	−0.274277	+	1.20169i
$70$	−46.2051	−	729.002i	−0.0788939	−	1.24475i
$71$	−89.5147	−	392.190i	−0.149626	−	0.655554i	−0.992989	−	0.118210i	$-0.962285\pi$
$71$	−89.5147	−	392.190i	−0.149626	−	0.655554i	0.843363	−	0.537345i	$-0.180573\pi$
$72$	356.609	+	109.999i	0.583706	+	0.180049i
$73$	−69.0252	+	175.873i	−0.110668	+	0.281979i	−0.975469	−	0.220137i	$-0.929350\pi$
$73$	−69.0252	+	175.873i	−0.110668	+	0.281979i	0.864801	+	0.502116i	$0.167445\pi$
$74$	−162.572	+	414.228i	−0.255387	+	0.650716i
$75$	−2164.18	−	667.563i	−3.33198	−	1.02778i
$76$	20.6672	+	90.5487i	0.0311932	+	0.136666i
$77$	258.634	+	460.109i	0.382780	+	0.680965i
$78$	−316.587	+	1387.06i	−0.459569	+	2.01350i
$79$	−60.5207	+	104.825i	−0.0861913	+	0.149288i	−0.905898	−	0.423495i	$-0.860803\pi$
$79$	−60.5207	+	104.825i	−0.0861913	+	0.149288i	0.819707	+	0.572783i	$0.194136\pi$
$80$	157.765	+	273.258i	0.220484	+	0.381889i
$81$	179.248	−	55.2908i	0.245882	−	0.0758447i
$82$	23.9836	−	320.038i	0.0322993	−	0.431004i
$83$	100.596	+	126.144i	0.133035	+	0.166820i	0.843887	−	0.536521i	$-0.180262\pi$
$83$	100.596	+	126.144i	0.133035	+	0.166820i	−0.710852	+	0.703341i	$0.751690\pi$
$84$	−54.7994	+	633.388i	−0.0711798	+	0.822718i
$85$	980.069	−	1228.97i	1.25063	−	1.56824i
$86$	400.879	+	371.962i	0.502651	+	0.466392i
$87$	683.433	+	103.011i	0.842203	+	0.126942i
$88$	−188.379	−	128.435i	−0.228196	−	0.155582i
$89$	−671.061	+	101.146i	−0.799239	+	0.120466i	−0.535949	−	0.844251i	$-0.680046\pi$
$89$	−671.061	+	101.146i	−0.799239	+	0.120466i	−0.263291	+	0.964717i	$0.584808\pi$
$90$	1657.68	+	798.297i	1.94150	+	0.934976i
$91$	−1535.07	−	17.6588i	−1.76834	−	0.0203423i
$92$	296.674	−	142.871i	0.336200	−	0.161905i
$93$	−1275.92	+	869.910i	−1.42266	+	0.969951i
$94$	−302.248	+	280.445i	−0.331644	+	0.307720i
$95$	34.2190	+	456.621i	0.0369558	+	0.493140i
$96$	−100.330	−	255.637i	−0.106665	−	0.271779i
$97$	1535.55			1.60733			0.803666	−	0.595081i	$-0.202880\pi$
$97$	1535.55			1.60733			0.803666	+	0.595081i	$0.202880\pi$
$98$	−680.510	+	86.6114i	−0.701448	+	0.0892762i
$99$	−1329.46			−1.34966
$100$	385.662	+	982.650i	0.385662	+	0.982650i
$101$	39.8779	+	532.133i	0.0392871	+	0.524250i	0.981780	+	0.190023i	$0.0608562\pi$
$101$	39.8779	+	532.133i	0.0392871	+	0.524250i	−0.942493	+	0.334227i	$0.891525\pi$
$102$	−1002.89	+	930.544i	−0.973536	+	0.903309i
$103$	1328.17	−	905.530i	1.27057	−	0.866257i	0.275103	−	0.961415i	$-0.411288\pi$
$103$	1328.17	−	905.530i	1.27057	−	0.866257i	0.995462	+	0.0951576i	$0.0303355\pi$
$104$	597.460	−	287.722i	0.563325	−	0.271283i
$105$	−732.569	+	3047.57i	−0.680870	+	2.83250i
$106$	−605.444	−	291.566i	−0.554773	−	0.267164i
$107$	−363.573	+	54.7998i	−0.328485	+	0.0495112i	−0.311215	−	0.950340i	$-0.600736\pi$
$107$	−363.573	+	54.7998i	−0.328485	+	0.0495112i	−0.0172707	+	0.999851i	$0.505498\pi$
$108$	−557.289	−	379.953i	−0.496529	−	0.338528i
$109$	−207.641	−	31.2968i	−0.182462	−	0.0275018i	0.0571754	−	0.998364i	$-0.481791\pi$
$109$	−207.641	−	31.2968i	−0.182462	−	0.0275018i	−0.239638	+	0.970862i	$0.577029\pi$
$110$	−823.994	−	764.555i	−0.714225	−	0.662704i
$111$	1190.50	−	1492.84i	1.01800	−	1.27653i
$112$	246.738	−	164.098i	0.208166	−	0.138445i
$113$	1127.10	+	1413.34i	0.938307	+	1.17660i	0.984094	+	0.177649i	$0.0568492\pi$
$113$	1127.10	+	1413.34i	0.938307	+	1.17660i	−0.0457864	+	0.998951i	$0.514579\pi$
$114$	29.7823	−	397.417i	0.0244681	−	0.326504i
$115$	1551.30	−	478.512i	1.25791	−	0.388013i
$116$	−161.072	−	278.986i	−0.128924	−	0.223303i
$117$	1933.38	−	3348.72i	1.52770	−	2.64606i
$118$	134.843	−	590.787i	0.105198	−	0.460901i
$119$	−1210.07	−	845.562i	−0.932157	−	0.651366i
$120$	−301.276	−	1319.98i	−0.229189	−	1.00414i
$121$	−495.730	−	152.913i	−0.372450	−	0.114885i
$122$	−429.305	+	1093.85i	−0.318586	+	0.811743i
$123$	−503.117	+	1281.92i	−0.368817	+	0.939731i
$124$	687.797	+	212.157i	0.498113	+	0.153647i
$125$	609.553	+	2670.63i	0.436161	+	1.91095i
$126$	649.729	−	1601.08i	0.459385	−	1.13203i
$127$	84.2060	−	368.930i	0.0588352	−	0.257774i	−0.936953	−	0.349455i	$-0.886367\pi$
$127$	84.2060	−	368.930i	0.0588352	−	0.257774i	0.995788	+	0.0916809i	$0.0292240\pi$
$128$	−64.0000	+	110.851i	−0.0441942	+	0.0765466i
$129$	−1173.28	−	2032.18i	−0.800787	−	1.38700i
$130$	3124.10	−	963.657i	2.10771	−	0.650141i
$131$	−96.8191	+	1291.96i	−0.0645734	+	0.861673i	0.867044	+	0.498232i	$0.166017\pi$
$131$	−96.8191	+	1291.96i	−0.0645734	+	0.861673i	−0.931617	+	0.363441i	$0.881602\pi$
$132$	609.971	+	764.879i	0.402206	+	0.504350i
$133$	425.934	−	59.1969i	0.277693	−	0.0385941i
$134$	−715.450	+	897.146i	−0.461235	+	0.578370i
$135$	−2437.65	−	2261.81i	−1.55407	−	1.44197i
$136$	630.547	+	95.0396i	0.397566	+	0.0599234i
$137$	−1981.11	−	1350.70i	−1.23546	−	0.842322i	−0.243627	−	0.969869i	$-0.578337\pi$
$137$	−1981.11	−	1350.70i	−1.23546	−	0.842322i	−0.991832	+	0.127547i	$0.959290\pi$
$138$	−1397.15	+	210.587i	−0.861837	+	0.129901i
$139$	−2246.61	−	1081.91i	−1.37090	−	0.660191i	−0.403862	−	0.914820i	$-0.632332\pi$
$139$	−2246.61	−	1081.91i	−1.37090	−	0.660191i	−0.967039	+	0.254629i	$0.918047\pi$
$140$	1323.46	−	618.691i	0.798946	−	0.373492i
$141$	1594.01	−	767.635i	0.952056	−	0.458486i
$142$	664.751	−	453.220i	0.392850	−	0.267841i
$143$	−1731.73	+	1606.81i	−1.01269	+	0.939641i
$144$	55.7769	+	744.291i	0.0322783	+	0.430724i
$145$	−580.245	−	1478.44i	−0.332323	−	0.846744i
$146$	−377.867			−0.214195
$147$	2899.84	+	505.561i	1.62704	+	0.283659i
$148$	−889.977			−0.494295
$149$	116.457	+	296.727i	0.0640302	+	0.163146i	0.959308	−	0.282362i	$-0.0911181\pi$
$149$	116.457	+	296.727i	0.0640302	+	0.163146i	−0.895278	+	0.445509i	$0.853023\pi$
$150$	−338.498	−	4516.94i	−0.184255	−	2.45871i
$151$	−1180.43	+	1095.28i	−0.636171	+	0.590281i	−0.930888	−	0.365304i	$-0.880965\pi$
$151$	−1180.43	+	1095.28i	−0.636171	+	0.590281i	0.294717	+	0.955585i	$0.404775\pi$
$152$	−153.478	+	104.639i	−0.0818993	+	0.0558380i
$153$	3350.07	−	1613.31i	1.77018	−	0.852473i
$154$	−667.629	+	817.704i	−0.349344	+	0.427873i
$155$	3197.19	+	1539.69i	1.65680	+	0.797874i
$156$	−2813.67	+	424.093i	−1.44406	+	0.217658i
$157$	2185.64	+	1490.15i	1.11104	+	0.757494i	0.972509	−	0.232864i	$-0.0748097\pi$
$157$	2185.64	+	1490.15i	1.11104	+	0.757494i	0.138531	+	0.990358i	$0.455762\pi$
$158$	−239.379	−	36.0806i	−0.120531	−	0.0181672i
$159$	2113.74	+	1961.26i	1.05428	+	0.978228i
$160$	−393.461	+	493.384i	−0.194411	+	0.243784i
$161$	−540.638	−	1425.53i	−0.264647	−	0.697808i
$162$	233.911	+	293.315i	0.113443	+	0.142253i
$163$	−80.8662	+	1079.08i	−0.0388584	+	0.518530i	0.943482	+	0.331425i	$0.107529\pi$
$163$	−80.8662	+	1079.08i	−0.0388584	+	0.518530i	−0.982340	+	0.187105i	$0.940090\pi$
$164$	613.355	−	189.195i	0.292043	−	0.0900832i
$165$	2411.64	+	4177.07i	1.13785	+	1.97082i
$166$	−161.344	+	279.456i	−0.0754380	+	0.130662i
$167$	113.807	−	498.620i	0.0527343	−	0.231044i	−0.941692	−	0.336475i	$-0.890765\pi$
$167$	113.807	−	498.620i	0.0527343	−	0.231044i	0.994427	+	0.105431i	$0.0336223\pi$
$168$	−1219.25	+	360.783i	−0.559924	+	0.165685i
$169$	−1040.06	−	4556.79i	−0.473399	−	2.07410i
$170$	3004.15	+	926.656i	1.35534	+	0.418066i
$171$	−395.719	+	1008.28i	−0.176967	+	0.450905i
$172$	−399.584	+	1018.12i	−0.177139	+	0.451344i
$173$	−1628.89	−	502.446i	−0.715851	−	0.220811i	−0.0846287	−	0.996413i	$-0.526970\pi$
$173$	−1628.89	−	502.446i	−0.715851	−	0.220811i	−0.631223	+	0.775602i	$0.717447\pi$
$174$	307.592	+	1347.65i	0.134014	+	0.587154i
$175$	4686.72	−	1386.83i	2.02447	−	0.599052i
$176$	101.468	−	444.559i	0.0434569	−	0.190397i
$177$	−1300.11	+	2251.86i	−0.552104	+	0.956271i
$178$	−678.641	−	1175.44i	−0.285766	−	0.494960i
$179$	3297.72	−	1017.21i	1.37700	−	0.424748i	0.484104	−	0.875010i	$-0.339146\pi$
$179$	3297.72	−	1017.21i	1.37700	−	0.424748i	0.892896	+	0.450262i	$0.148669\pi$
$180$	−274.990	+	3669.48i	−0.113870	+	1.51948i
$181$	2063.37	+	2587.38i	0.847343	+	1.06253i	0.997270	+	0.0738371i	$0.0235245\pi$
$181$	2063.37	+	2587.38i	0.847343	+	1.06253i	−0.149928	+	0.988697i	$0.547904\pi$
$182$	−1088.77	−	2870.81i	−0.443434	−	1.16922i
$183$	3143.76	−	3942.15i	1.26991	−	1.59241i
$184$	482.763	+	447.939i	0.193423	+	0.179470i
$185$	−4338.73	−	653.958i	−1.72427	−	0.259892i
$186$	−2551.85	−	1739.82i	−1.00597	−	0.685859i
$187$	−2246.28	+	338.573i	−0.878420	+	0.132400i
$188$	−742.965	−	357.793i	−0.288225	−	0.138802i
$189$	−1975.07	+	2419.04i	−0.760133	+	0.931003i
$190$	−825.110	+	397.352i	−0.315051	+	0.151721i
$191$	−2173.82	+	1482.09i	−0.823520	+	0.561467i	−0.900144	−	0.435593i	$-0.856539\pi$
$191$	−2173.82	+	1482.09i	−0.823520	+	0.561467i	0.0766231	+	0.997060i	$0.475586\pi$
$192$	402.622	−	373.578i	0.151337	−	0.140420i
$193$	109.562	+	1462.00i	0.0408622	+	0.545269i	0.979642	+	0.200751i	$0.0643383\pi$
$193$	109.562	+	1462.00i	0.0408622	+	0.545269i	−0.938780	+	0.344517i	$0.888043\pi$
$194$	1122.00	+	2858.80i	0.415230	+	1.05799i
$195$	−14028.6			−5.15183
$196$	−658.485	−	1203.65i	−0.239973	−	0.438649i
$197$	359.039			0.129850			0.0649251	−	0.997890i	$-0.479319\pi$
$197$	359.039			0.129850			0.0649251	+	0.997890i	$0.479319\pi$
$198$	−971.415	−	2475.12i	−0.348664	−	0.888381i
$199$	19.3105	+	257.680i	0.00687881	+	0.0917914i	0.999586	−	0.0287552i	$-0.00915433\pi$
$199$	19.3105	+	257.680i	0.00687881	+	0.0917914i	−0.992708	+	0.120547i	$0.961535\pi$
$200$	−1547.65	+	1436.01i	−0.547177	+	0.507706i
$201$	4068.25	−	2773.69i	1.42762	−	0.973337i
$202$	−961.560	+	463.063i	−0.334926	+	0.161292i
$203$	−1351.20	+	631.659i	−0.467170	+	0.218393i
$204$	−2465.23	−	1187.19i	−0.846081	−	0.407451i
$205$	3129.19	−	471.650i	1.06611	−	0.160690i
$206$	2656.34	+	1811.06i	0.898426	+	0.612536i
$207$	3797.26	+	572.345i	1.27501	+	0.192177i
$208$	972.219	+	902.087i	0.324092	+	0.300714i
$209$	412.588	−	517.369i	0.136552	−	0.171230i
$210$	−6209.08	+	862.945i	−2.04032	+	0.283566i
$211$	862.343	+	1081.34i	0.281356	+	0.352809i	0.902348	−	0.431007i	$-0.141842\pi$
$211$	862.343	+	1081.34i	0.281356	+	0.352809i	−0.620992	+	0.783817i	$0.713270\pi$
$212$	100.436	−	1340.23i	0.0325376	−	0.434184i
$213$	−3298.91	+	1017.58i	−1.06121	+	0.327339i
$214$	−367.680	−	636.840i	−0.117449	−	0.203427i
$215$	−2696.13	+	4669.84i	−0.855231	+	1.48130i
$216$	300.176	−	1315.16i	0.0945573	−	0.414283i
$217$	1253.14	−	3088.02i	0.392022	−	0.966031i
$218$	−93.4527	−	409.443i	−0.0290340	−	0.127206i
$219$	1549.37	+	477.918i	0.478068	+	0.147464i
$220$	821.330	−	2092.71i	0.251700	−	0.641322i
$221$	2413.86	−	6150.43i	0.734725	−	1.87205i
$222$	3649.17	+	1125.62i	1.10323	+	0.340301i
$223$	−717.028	−	3141.50i	−0.215317	−	0.943366i	−0.960887	−	0.276939i	$-0.910680\pi$
$223$	−717.028	−	3141.50i	−0.215317	−	0.943366i	0.745570	−	0.666427i	$-0.232177\pi$
$224$	485.796	+	339.461i	0.144905	+	0.101255i
$225$	−2739.42	+	12002.2i	−0.811679	+	3.55620i
$226$	−1807.73	+	3131.08i	−0.532073	+	0.921577i
$227$	3008.92	+	5211.60i	0.879776	+	1.52382i	0.851587	+	0.524214i	$0.175641\pi$
$227$	3008.92	+	5211.60i	0.879776	+	1.52382i	0.0281888	+	0.999603i	$0.491026\pi$
$228$	761.651	−	234.938i	0.221235	−	0.0682420i
$229$	129.908	−	1733.50i	0.0374871	−	0.500231i	−0.946584	−	0.322457i	$-0.895491\pi$
$229$	129.908	−	1733.50i	0.0374871	−	0.500231i	0.984071	−	0.177774i	$-0.0568897\pi$
$230$	2024.37	+	2538.48i	0.580362	+	0.727751i
$231$	3771.69	−	2508.44i	1.07428	−	0.714472i
$232$	401.708	−	503.726i	0.113679	−	0.142548i
$233$	−1061.45	−	984.878i	−0.298445	−	0.276916i	0.516709	−	0.856161i	$-0.327157\pi$
$233$	−1061.45	−	984.878i	−0.298445	−	0.276916i	−0.815154	+	0.579245i	$0.803347\pi$
$234$	7647.16	+	1152.62i	2.13637	+	0.322006i
$235$	−3359.13	−	2290.21i	−0.932448	−	0.635732i
$236$	1198.42	−	180.633i	0.330554	−	0.0498230i
$237$	935.893	+	450.702i	0.256510	+	0.123529i
$238$	690.048	−	2870.68i	0.187938	−	0.781842i
$239$	−853.932	+	411.232i	−0.231114	+	0.111299i	−0.545857	−	0.837878i	$-0.683796\pi$
$239$	−853.932	+	411.232i	−0.231114	+	0.111299i	0.314743	+	0.949177i	$0.398082\pi$
$240$	2237.33	−	1525.39i	0.601746	−	0.410263i
$241$	−560.135	+	519.729i	−0.149716	+	0.138916i	−0.751475	−	0.659762i	$-0.770657\pi$
$241$	−560.135	+	519.729i	−0.149716	+	0.138916i	0.601759	+	0.798678i	$0.294467\pi$
$242$	−77.5367	−	1034.66i	−0.0205961	−	0.274835i
$243$	1075.20	+	2739.55i	0.283843	+	0.723220i
$244$	−2350.16			−0.616613
$245$	−2325.74	−	6351.79i	−0.606473	−	1.65633i
$246$	−2754.23			−0.713835
$247$	703.166	+	1791.64i	0.181139	+	0.461535i
$248$	107.578	+	1435.52i	0.0275451	+	0.367564i
$249$	1015.01	−	941.790i	0.258327	−	0.239693i
$250$	−4526.65	+	3086.21i	−1.14516	+	0.780757i
$251$	2683.72	−	1292.41i	0.674881	−	0.325006i	−0.0648626	−	0.997894i	$-0.520661\pi$
$251$	2683.72	−	1292.41i	0.674881	−	0.325006i	0.739744	+	0.672888i	$0.234947\pi$
$252$	3455.55	+	39.7513i	0.863806	+	0.00993688i
$253$	−2113.76	−	1017.94i	−0.525262	−	0.252953i
$254$	748.383	−	112.801i	0.184873	−	0.0278651i
$255$	−11145.9	−	7599.15i	−2.73719	−	1.86618i
$256$	−253.141	−	38.1548i	−0.0618019	−	0.00931514i
$257$	−1858.28	−	1724.23i	−0.451035	−	0.418500i	0.421668	−	0.906750i	$-0.361445\pi$
$257$	−1858.28	−	1724.23i	−0.451035	−	0.418500i	−0.872703	+	0.488251i	$0.837635\pi$
$258$	2926.11	−	3669.23i	0.706092	−	0.885411i
$259$	−355.183	+	4105.31i	−0.0852123	+	0.984910i
$260$	4076.81	+	5112.16i	0.972435	+	1.21939i
$261$	280.754	−	3746.40i	0.0665833	−	0.888492i
$262$	−2476.05	+	763.760i	−0.583858	+	0.180096i
$263$	3315.34	+	5742.34i	0.777310	+	1.34634i	0.933487	+	0.358612i	$0.116750\pi$
$263$	3315.34	+	5742.34i	0.777310	+	1.34634i	−0.156177	+	0.987729i	$0.549917\pi$
$264$	−978.317	+	1694.49i	−0.228073	+	0.395034i
$265$	1474.44	−	6459.94i	0.341789	−	1.49748i
$266$	421.432	+	749.728i	0.0971416	+	0.172815i
$267$	1295.96	+	5677.99i	0.297048	+	1.30145i
$268$	−2193.03	−	676.459i	−0.499852	−	0.154184i
$269$	66.4022	−	169.190i	0.0150506	−	0.0383483i	−0.923151	−	0.384438i	$-0.874395\pi$
$269$	66.4022	−	169.190i	0.0150506	−	0.0383483i	0.938202	+	0.346089i	$0.112491\pi$
$270$	2429.77	−	6190.95i	0.547671	−	1.39544i
$271$	−8460.96	−	2609.86i	−1.89656	−	0.585010i	−0.984629	−	0.174657i	$-0.944118\pi$
$271$	−8460.96	−	2609.86i	−1.89656	−	0.585010i	−0.911927	−	0.410353i	$-0.865406\pi$
$272$	283.789	+	1243.36i	0.0632620	+	0.277169i
$273$	833.355	+	13148.3i	0.184751	+	2.91490i
$274$	1067.10	−	4675.26i	0.235277	−	1.03081i
$275$	3760.59	−	6513.53i	0.824625	−	1.42829i
$276$	−1412.93	−	2447.27i	−0.308147	−	0.533727i
$277$	−2297.24	+	708.604i	−0.498295	+	0.153704i	−0.533708	−	0.845669i	$-0.679202\pi$
$277$	−2297.24	+	708.604i	−0.498295	+	0.153704i	0.0354125	+	0.999373i	$0.488725\pi$
$278$	372.687	−	4973.16i	0.0804038	−	1.07291i
$279$	5233.65	+	6562.79i	1.12305	+	1.40826i
$280$	2118.87	+	2011.87i	0.452238	+	0.429402i
$281$	317.637	−	398.304i	0.0674328	−	0.0845580i	−0.746971	−	0.664857i	$-0.768493\pi$
$281$	317.637	−	398.304i	0.0674328	−	0.0845580i	0.814404	+	0.580298i	$0.197064\pi$
$282$	2593.86	+	2406.75i	0.547737	+	0.508226i
$283$	−3285.01	−	495.136i	−0.690013	−	0.104003i	−0.205330	−	0.978693i	$-0.565827\pi$
$283$	−3285.01	−	495.136i	−0.690013	−	0.104003i	−0.484683	+	0.874690i	$0.661065\pi$
$284$	1329.50	+	906.440i	0.277787	+	0.189392i
$285$	3885.76	−	585.684i	0.807624	−	0.121730i
$286$	−4256.83	−	2049.98i	−0.880111	−	0.423839i
$287$	−627.939	−	2904.81i	−0.129150	−	0.597441i
$288$	−1344.93	+	647.683i	−0.275176	+	0.132518i
$289$	1190.17	−	811.442i	0.242248	−	0.165162i
$290$	2328.51	−	2160.54i	0.471499	−	0.437487i
$291$	−984.784	−	13141.0i	−0.198382	−	2.64722i
$292$	−276.101	−	703.494i	−0.0553342	−	0.140989i
$293$	−7273.11			−1.45017			−0.725085	−	0.688660i	$-0.758199\pi$
$293$	−7273.11			−1.45017			−0.725085	+	0.688660i	$0.758199\pi$
$294$	1177.64	+	5768.18i	0.233610	+	1.14424i
$295$	5975.17			1.17928
$296$	−650.290	−	1656.91i	−0.127694	−	0.325358i
$297$	359.127	+	4792.21i	0.0701638	+	0.936270i
$298$	−467.337	+	433.626i	−0.0908461	+	0.0842928i
$299$	5637.99	−	3843.92i	1.09048	−	0.743476i
$300$	8162.07	−	3930.65i	1.57079	−	0.756453i
$301$	4536.96	+	2249.54i	0.868790	+	0.430768i
$302$	−2901.65	−	1397.36i	−0.552884	−	0.266255i
$303$	4528.36	−	682.540i	0.858572	−	0.129409i
$304$	−306.956	−	209.279i	−0.0579115	−	0.0394834i
$305$	−11457.3	−	1726.91i	−2.15096	−	0.324204i
$306$	5451.41	+	5058.17i	1.01842	+	0.944955i
$307$	821.017	−	1029.52i	0.152632	−	0.191394i	−0.699637	−	0.714499i	$-0.746655\pi$
$307$	821.017	−	1029.52i	0.152632	−	0.191394i	0.852268	+	0.523105i	$0.175226\pi$
$308$	−2010.18	−	645.474i	−0.371886	−	0.119413i
$309$	−8601.20	−	10785.6i	−1.58351	−	1.98566i
$310$	−530.376	+	7077.38i	−0.0971721	+	1.29667i
$311$	1949.45	−	601.326i	0.355444	−	0.109640i	−0.111890	−	0.993721i	$-0.535691\pi$
$311$	1949.45	−	601.326i	0.355444	−	0.109640i	0.467335	+	0.884081i	$0.345214\pi$
$312$	−2845.45	−	4928.47i	−0.516321	−	0.894294i
$313$	4930.60	−	8540.04i	0.890396	−	1.54221i	0.0509938	−	0.998699i	$-0.483761\pi$
$313$	4930.60	−	8540.04i	0.890396	−	1.54221i	0.839402	−	0.543511i	$-0.182906\pi$
$314$	−1177.27	+	5157.94i	−0.211583	+	0.927004i
$315$	16817.0	+	2732.94i	3.00803	+	0.488838i
$316$	−107.737	−	472.027i	−0.0191794	−	0.0840303i
$317$	1759.17	+	542.633i	0.311688	+	0.0961429i	0.446653	−	0.894707i	$-0.352616\pi$
$317$	1759.17	+	542.633i	0.311688	+	0.0961429i	−0.134965	+	0.990850i	$0.543092\pi$
$318$	−2106.90	+	5368.31i	−0.371539	+	0.946666i
$319$	−838.546	+	2136.58i	−0.147177	+	0.375002i
$320$	−1206.05	−	372.017i	−0.210688	−	0.0649888i
$321$	702.139	+	3076.27i	0.122086	+	0.534893i
$322$	2258.93	−	2048.14i	0.390949	−	0.354466i
$323$	−411.838	+	1804.38i	−0.0709451	+	0.310831i
$324$	−375.164	+	649.803i	−0.0643286	+	0.111420i
$325$	10937.7	+	18944.7i	1.86682	+	3.23343i
$326$	−2068.07	+	637.915i	−0.351349	+	0.108377i
$327$	−134.669	+	1797.04i	−0.0227744	+	0.303903i
$328$	800.401	+	1003.67i	0.134740	+	0.168959i
$329$	−1946.95	+	3284.38i	−0.326258	+	0.550377i
$330$	−6014.52	+	7541.97i	−1.00330	+	1.25810i
$331$	3147.86	+	2920.79i	0.522725	+	0.485018i	0.896834	−	0.442367i	$-0.145861\pi$
$331$	3147.86	+	2920.79i	0.522725	+	0.485018i	−0.374109	+	0.927385i	$0.622051\pi$
$332$	−638.167	−	96.1882i	−0.105494	−	0.0159006i
$333$	−8575.57	−	5846.73i	−1.41123	−	0.962158i
$334$	1011.46	−	152.453i	0.165703	−	0.0249757i
$335$	−10194.2	−	4909.25i	−1.66259	−	0.800660i
$336$	−1562.57	−	2006.32i	−0.253706	−	0.325755i
$337$	−9322.66	+	4489.56i	−1.50694	+	0.725702i	−0.991363	−	0.131144i	$-0.958135\pi$
$337$	−9322.66	+	4489.56i	−1.50694	+	0.725702i	−0.515573	+	0.856846i	$0.672421\pi$
$338$	7723.64	−	5265.89i	1.24293	−	0.847416i
$339$	11372.4	−	10552.0i	1.82201	−	1.69058i
$340$	469.875	+	6270.05i	0.0749487	+	1.00012i
$341$	−1873.58	−	4773.80i	−0.297537	−	0.758112i
$342$	−2166.30			−0.342515
$343$	−5815.05	+	2557.11i	−0.915402	+	0.402540i
$344$	−2187.45			−0.342848
$345$	−5089.93	−	12968.9i	−0.794298	−	2.02384i
$346$	−254.773	−	3399.71i	−0.0395858	−	0.528236i
$347$	−1516.47	+	1407.08i	−0.234606	+	0.217683i	−0.788711	−	0.614764i	$-0.789251\pi$
$347$	−1516.47	+	1407.08i	−0.234606	+	0.217683i	0.554105	+	0.832447i	$0.313061\pi$
$348$	−2284.23	+	1557.36i	−0.351860	+	0.239894i
$349$	−7216.69	+	3475.37i	−1.10688	+	0.533044i	−0.895814	−	0.444428i	$-0.853407\pi$
$349$	−7216.69	+	3475.37i	−1.10688	+	0.533044i	−0.211063	+	0.977472i	$0.567693\pi$
$350$	6006.42	+	7712.15i	0.917304	+	1.17781i
$351$	−12593.1	−	6064.53i	−1.91502	−	0.922225i
$352$	901.798	−	135.924i	0.136551	−	0.0205818i
$353$	6457.91	+	4402.93i	0.973711	+	0.663865i	0.941993	−	0.335632i	$-0.108950\pi$
$353$	6457.91	+	4402.93i	0.973711	+	0.663865i	0.0317174	+	0.999497i	$0.489902\pi$
$354$	−5142.36	−	775.086i	−0.772072	−	0.116371i
$355$	5815.41	+	5395.91i	0.869436	+	0.806719i
$356$	1692.50	−	2122.33i	0.251973	−	0.315964i
$357$	−6460.17	+	10897.9i	−0.957727	+	1.61562i
$358$	4303.38	+	5396.26i	0.635308	+	0.796652i
$359$	521.670	−	6961.20i	0.0766927	−	1.02339i	−0.817564	−	0.575838i	$-0.804676\pi$
$359$	521.670	−	6961.20i	0.0766927	−	1.02339i	0.894257	−	0.447555i	$-0.147705\pi$
$360$	−7032.58	+	2169.26i	−1.02958	+	0.317584i
$361$	3159.93	+	5473.16i	0.460699	+	0.797953i
$362$	−3309.39	+	5732.03i	−0.480490	+	0.832234i
$363$	−990.684	+	4340.47i	−0.143244	+	0.627591i
$364$	4549.18	−	4124.67i	0.655060	−	0.593932i
$365$	−829.091	−	3632.49i	−0.118895	−	0.520912i
$366$	9636.37	+	2972.43i	1.37623	+	0.424512i
$367$	−4382.66	+	11166.8i	−0.623359	+	1.58829i	0.173971	+	0.984751i	$0.444340\pi$
$367$	−4382.66	+	11166.8i	−0.623359	+	1.58829i	−0.797330	+	0.603543i	$0.793755\pi$
$368$	−481.202	+	1226.08i	−0.0681642	+	0.173679i
$369$	7153.04	+	2206.42i	1.00914	+	0.311278i
$370$	−1952.73	−	8555.45i	−0.274371	−	1.20210i
$371$	−6142.16	−	998.169i	−0.859528	−	0.139683i
$372$	1374.52	−	6022.15i	0.191573	−	0.839338i
$373$	−26.6076	+	46.0856i	−0.00369353	+	0.00639738i	−0.867866	−	0.496798i	$-0.834509\pi$
$373$	−26.6076	+	46.0856i	−0.00369353	+	0.00639738i	0.864173	+	0.503195i	$0.167842\pi$
$374$	−2271.66	−	3934.62i	−0.314076	−	0.543996i
$375$	22464.0	−	6929.23i	3.09343	−	0.954196i
$376$	123.249	−	1644.65i	0.0169045	−	0.225575i
$377$	−4162.27	−	5219.32i	−0.568615	−	0.713020i
$378$	−5946.80	−	1909.53i	−0.809180	−	0.259830i
$379$	2261.32	−	2835.60i	0.306480	−	0.384314i	−0.604609	−	0.796522i	$-0.706671\pi$
$379$	2261.32	−	2835.60i	0.306480	−	0.384314i	0.911090	+	0.412208i	$0.135242\pi$
$380$	−1342.66	−	1245.81i	−0.181256	−	0.168181i
$381$	−3211.27	−	484.021i	−0.431806	−	0.0650843i
$382$	−4347.65	−	2964.18i	−0.582317	−	0.397017i
$383$	2151.94	−	324.352i	0.287099	−	0.0432732i	−0.00391394	−	0.999992i	$-0.501246\pi$
$383$	2151.94	−	324.352i	0.287099	−	0.0432732i	0.291013	+	0.956719i	$0.406008\pi$
$384$	989.697	+	476.613i	0.131524	+	0.0633387i
$385$	−9325.56	−	4623.84i	−1.23448	−	0.612086i
$386$	−2641.81	+	1272.23i	−0.348354	+	0.167759i
$387$	−10538.9	+	7185.27i	−1.38429	+	0.943793i
$388$	−4502.54	+	4177.75i	−0.589129	+	0.546632i
$389$	602.568	+	8040.71i	0.0785383	+	1.04802i	0.887696	+	0.460429i	$0.152305\pi$
$389$	602.568	+	8040.71i	0.0785383	+	1.04802i	−0.809158	+	0.587591i	$0.800076\pi$
$390$	−10250.4	−	26117.7i	−1.33090	−	3.39108i
$391$	6561.67			0.848691
$392$	1759.76	−	2105.42i	0.226737	−	0.271275i
$393$	11118.5			1.42711
$394$	262.343	+	668.440i	0.0335449	+	0.0854709i
$395$	−178.382	−	2380.35i	−0.0227225	−	0.303211i
$396$	3898.26	−	3617.06i	0.494684	−	0.459000i
$397$	−11863.2	+	8088.21i	−1.49974	+	1.02251i	−0.513336	+	0.858188i	$0.671591\pi$
$397$	−11863.2	+	8088.21i	−1.49974	+	1.02251i	−0.986407	+	0.164320i	$0.947457\pi$
$398$	−465.626	+	224.234i	−0.0586425	+	0.0282408i
$399$	−779.762	−	3607.13i	−0.0978369	−	0.452588i
$400$	−3804.33	−	1832.07i	−0.475541	−	0.229008i
$401$	4551.41	−	686.015i	0.566800	−	0.0854313i	0.140610	−	0.990065i	$-0.455094\pi$
$401$	4551.41	−	686.015i	0.566800	−	0.0854313i	0.426190	+	0.904634i	$0.359856\pi$
$402$	8136.50	+	5547.37i	1.00948	+	0.688253i
$403$	14749.2	+	2223.08i	1.82310	+	0.274788i
$404$	−1564.70	−	1451.83i	−0.192690	−	0.178790i
$405$	−2306.44	+	2892.19i	−0.282983	+	0.354849i
$406$	−2163.29	−	2054.05i	−0.264439	−	0.251085i
$407$	3953.53	+	4957.57i	0.481497	+	0.603778i
$408$	408.953	−	5457.09i	0.0496230	−	0.662173i
$409$	2242.29	−	691.656i	0.271086	−	0.0836191i	−0.156232	−	0.987720i	$-0.549935\pi$
$409$	2242.29	−	691.656i	0.271086	−	0.0836191i	0.427318	+	0.904101i	$0.359458\pi$
$410$	3164.54	+	5481.14i	0.381184	+	0.660230i
$411$	−10288.6	+	17820.4i	−1.23479	+	2.13872i
$412$	−1430.80	+	6268.73i	−0.171093	+	0.749608i
$413$	−354.949	−	5600.21i	−0.0422904	−	0.667236i
$414$	1709.03	+	7487.74i	0.202884	+	0.888895i
$415$	−3040.45	−	937.855i	−0.359638	−	0.110934i
$416$	−969.076	+	2469.16i	−0.114214	+	0.291011i
$417$	−7818.07	+	19920.1i	−0.918111	+	2.33931i
$418$	1264.68	+	390.102i	0.147985	+	0.0456472i
$419$	−3068.01	−	13441.8i	−0.357713	−	1.56724i	−0.758874	−	0.651237i	$-0.774250\pi$
$419$	−3068.01	−	13441.8i	−0.357713	−	1.56724i	0.401161	−	0.916008i	$-0.368607\pi$
$420$	−6143.45	−	10929.2i	−0.713737	−	1.26974i
$421$	2843.81	−	12459.6i	0.329214	−	1.44238i	−0.491419	−	0.870923i	$-0.663522\pi$
$421$	2843.81	−	12459.6i	0.329214	−	1.44238i	0.820632	−	0.571456i	$-0.193621\pi$
$422$	−1383.09	+	2395.58i	−0.159545	+	0.276339i
$423$	−4808.48	−	8328.53i	−0.552710	−	0.957322i
$424$	2568.55	−	792.293i	0.294198	−	0.0907479i
$425$	−1571.99	+	20976.7i	−0.179418	+	2.39416i
$426$	−4304.92	−	5398.20i	−0.489611	−	0.613953i
$427$	−937.930	+	10840.9i	−0.106299	+	1.22864i
$428$	916.978	−	1149.85i	0.103560	−	0.129861i
$429$	14861.5	+	13789.5i	1.67254	+	1.55189i
$430$	−10664.1	−	1607.35i	−1.19597	−	0.180264i
$431$	−10541.2	−	7186.89i	−1.17808	−	0.803202i	−0.194014	−	0.980999i	$-0.562151\pi$
$431$	−10541.2	−	7186.89i	−1.17808	−	0.803202i	−0.984067	+	0.177797i	$0.943103\pi$
$432$	2667.82	−	402.109i	0.297119	−	0.0447836i
$433$	10230.5	+	4926.73i	1.13544	+	0.546798i	0.904628	−	0.426201i	$-0.140148\pi$
$433$	10230.5	+	4926.73i	1.13544	+	0.546798i	0.230809	+	0.972999i	$0.425863\pi$
$434$	6664.77	+	76.6688i	0.737141	+	0.00847977i
$435$	−12280.2	+	5913.83i	−1.35354	+	0.651831i
$436$	693.995	−	473.158i	0.0762302	−	0.0519728i
$437$	−1401.18	+	1300.11i	−0.153381	+	0.142317i
$438$	242.336	+	3233.75i	0.0264366	+	0.352772i
$439$	73.2467	+	186.630i	0.00796327	+	0.0202901i	0.934800	−	0.355174i	$-0.115578\pi$
$439$	73.2467	+	186.630i	0.00796327	+	0.0202901i	−0.926837	+	0.375464i	$0.877483\pi$
$440$	4496.24			0.487158
$441$	1562.45	−	15924.0i	0.168713	−	1.71947i
$442$	13214.3			1.42204
$443$	−2415.39	−	6154.32i	−0.259049	−	0.660047i	0.740884	−	0.671633i	$-0.234407\pi$
$443$	−2415.39	−	6154.32i	−0.259049	−	0.660047i	−0.999933	+	0.0115867i	$0.996312\pi$
$444$	570.764	+	7616.31i	0.0610073	+	0.814086i
$445$	9810.62	−	9102.93i	1.04510	−	0.969708i
$446$	5324.77	−	3630.37i	0.565325	−	0.385432i
$447$	2464.67	−	1186.92i	0.260793	−	0.125591i
$448$	−277.028	+	1152.47i	−0.0292151	+	0.121538i
$449$	12597.7	+	6066.72i	1.32410	+	0.637653i	0.956337	−	0.292266i	$-0.0944092\pi$
$449$	12597.7	+	6066.72i	1.32410	+	0.637653i	0.367764	+	0.929919i	$0.380123\pi$
$450$	−24346.6	+	3669.67i	−2.55047	+	0.384422i
$451$	−3778.60	−	2576.21i	−0.394517	−	0.268977i
$452$	−7150.16	−	1077.71i	−0.744060	−	0.112149i
$453$	10130.3	+	9399.54i	1.05069	+	0.974898i
$454$	−7504.13	+	9409.88i	−0.775740	+	0.972747i
$455$	25208.6	−	16765.4i	2.59735	−	1.72742i
$456$	993.921	+	1246.34i	0.102071	+	0.127994i
$457$	70.9384	−	946.607i	0.00726118	−	0.0968937i	−0.992396	−	0.123089i	$-0.960720\pi$
$457$	70.9384	−	946.607i	0.00726118	−	0.0968937i	0.999657	+	0.0261950i	$0.00833908\pi$
$458$	3322.26	−	1024.78i	0.338950	−	0.104552i
$459$	−6720.32	−	11639.9i	−0.683394	−	1.18367i
$460$	−3246.84	+	5623.70i	−0.329098	+	0.570014i
$461$	−2950.41	+	12926.6i	−0.298079	+	1.30597i	0.574905	+	0.818220i	$0.305039\pi$
$461$	−2950.41	+	12926.6i	−0.298079	+	1.30597i	−0.872984	+	0.487749i	$0.837818\pi$
$462$	7425.98	+	5189.07i	0.747810	+	0.522549i
$463$	892.095	+	3908.52i	0.0895447	+	0.392321i	0.999762	−	0.0218098i	$-0.00694281\pi$
$463$	892.095	+	3908.52i	0.0895447	+	0.392321i	−0.910217	+	0.414131i	$0.864086\pi$
$464$	1231.33	+	379.816i	0.123196	+	0.0380011i
$465$	11126.0	−	28348.6i	1.10958	−	2.82717i
$466$	1058.01	−	2695.78i	0.105175	−	0.267982i
$467$	11589.9	+	3575.01i	1.14843	+	0.354244i	0.809817	−	0.586683i	$-0.199566\pi$
$467$	11589.9	+	3575.01i	1.14843	+	0.354244i	0.338612	+	0.940926i	$0.390043\pi$
$468$	3441.75	+	15079.3i	0.339946	+	1.48940i
$469$	−3995.61	+	9846.09i	−0.393390	+	0.969403i
$470$	1809.35	−	7927.26i	0.177572	−	0.777994i
$471$	11350.8	−	19660.1i	1.11044	−	1.92334i
$472$	1211.96	+	2099.18i	0.118188	+	0.204708i
$473$	7446.47	−	2296.93i	0.723867	−	0.223283i
$474$	−155.254	+	2071.72i	−0.0150444	+	0.200753i
$475$	−3820.56	−	4790.84i	−0.369052	−	0.462776i
$476$	5848.68	−	812.857i	0.563180	−	0.0782715i
$477$	9772.43	−	12254.2i	0.938048	−	1.17627i
$478$	−1389.56	−	1289.33i	−0.132965	−	0.123373i
$479$	17140.5	+	2583.52i	1.63501	+	0.246438i	0.901355	−	0.433081i	$-0.142574\pi$
$479$	17140.5	+	2583.52i	1.63501	+	0.246438i	0.733657	+	0.679520i	$0.237812\pi$
$480$	4474.66	+	3050.77i	0.425498	+	0.290100i
$481$	−18236.8	+	2748.76i	−1.72875	+	0.260567i
$482$	−1376.88	−	663.073i	−0.130115	−	0.0626600i
$483$	−11852.8	+	5540.94i	−1.11660	+	0.521991i
$484$	1869.61	−	900.358i	0.175583	−	0.0845565i
$485$	−25020.2	+	17058.5i	−2.34249	+	1.59708i
$486$	−4314.73	+	4003.49i	−0.402717	+	0.373666i
$487$	−505.957	−	6751.53i	−0.0470783	−	0.628216i	−0.969981	−	0.243182i	$-0.921809\pi$
$487$	−505.957	−	6751.53i	−0.0470783	−	0.628216i	0.922902	−	0.385034i	$-0.125810\pi$
$488$	−1717.22	−	4375.40i	−0.159293	−	0.405871i
$489$	9286.53			0.858797
$490$	10126.1	−	8971.07i	0.933569	−	0.827085i
$491$	−7118.84			−0.654315			−0.327157	−	0.944970i	$-0.606091\pi$
$491$	−7118.84			−0.654315			−0.327157	+	0.944970i	$0.606091\pi$
$492$	−2012.47	−	5127.68i	−0.184409	−	0.469866i
$493$	−479.725	−	6401.48i	−0.0438250	−	0.584804i
$494$	−2821.78	+	2618.23i	−0.257000	+	0.238461i
$495$	21662.3	−	14769.1i	1.96696	−	1.34105i
$496$	−2593.98	+	1249.19i	−0.234825	+	0.113086i
$497$	4711.85	−	5771.02i	0.425262	−	0.520856i
$498$	2495.02	+	1201.54i	0.224507	+	0.108117i
$499$	−9855.98	+	1485.55i	−0.884197	+	0.133271i	−0.575415	−	0.817862i	$-0.695159\pi$
$499$	−9855.98	+	1485.55i	−0.884197	+	0.133271i	−0.308782	+	0.951133i	$0.599921\pi$
$500$	−9053.29	−	6172.43i	−0.809751	−	0.552079i
$501$	−4340.12	−	654.168i	−0.387030	−	0.0583355i
$502$	4367.10	+	4052.07i	0.388273	+	0.360265i
$503$	9961.81	−	12491.7i	0.883052	−	1.10731i	−0.110493	−	0.993877i	$-0.535243\pi$
$503$	9961.81	−	12491.7i	0.883052	−	1.10731i	0.993545	−	0.113435i	$-0.0361855\pi$
$504$	2450.90	+	6462.41i	0.216611	+	0.571148i
$505$	−6561.27	−	8227.57i	−0.578164	−	0.724994i
$506$	350.649	−	4679.08i	0.0308068	−	0.411088i
$507$	−38329.5	+	11823.1i	−3.35754	+	1.03566i
$508$	756.836	+	1310.88i	0.0661008	+	0.114490i
$509$	8796.69	−	15236.3i	0.766024	−	1.32679i	−0.173679	−	0.984802i	$-0.555566\pi$
$509$	8796.69	−	15236.3i	0.766024	−	1.32679i	0.939703	−	0.341991i	$-0.111101\pi$
$510$	6003.58	−	26303.4i	0.521261	−	2.28379i
$511$	−3355.29	+	992.849i	−0.290468	+	0.0859512i
$512$	−113.931	−	499.163i	−0.00983413	−	0.0430861i
$513$	3741.35	+	1154.05i	0.321997	+	0.0993231i
$514$	1852.27	−	4719.50i	0.158950	−	0.404997i
$515$	−11581.6	+	29509.4i	−0.990962	+	2.52493i
$516$	8969.23	+	2766.64i	0.765210	+	0.236036i
$517$	1307.40	+	5728.07i	0.111217	+	0.487274i
$518$	−7902.58	+	2338.42i	−0.670308	+	0.198348i
$519$	−3255.23	+	14262.1i	−0.275315	+	1.20624i
$520$	−6538.70	+	11325.4i	−0.551425	+	0.955096i
$521$	−2626.13	−	4548.59i	−0.220831	−	0.382490i	0.734230	−	0.678901i	$-0.237544\pi$
$521$	−2626.13	−	4548.59i	−0.220831	−	0.382490i	−0.955060	+	0.296411i	$0.904210\pi$
$522$	7179.99	−	2214.73i	0.602030	−	0.185702i
$523$	−831.511	+	11095.7i	−0.0695209	+	0.927693i	0.847998	+	0.530000i	$0.177808\pi$
$523$	−831.511	+	11095.7i	−0.0695209	+	0.927693i	−0.917519	+	0.397693i	$0.869811\pi$
$524$	−3231.13	−	4051.71i	−0.269375	−	0.337786i
$525$	−14874.0	−	39219.0i	−1.23648	−	3.26030i
$526$	−8268.32	+	10368.1i	−0.685392	+	0.859454i
$527$	10514.2	+	9755.76i	0.869082	+	0.806390i
$528$	−3869.56	−	583.242i	−0.318941	−	0.0480727i
$529$	−4453.67	−	3036.46i	−0.366045	−	0.249565i
$530$	13104.1	−	1975.13i	1.07398	−	0.161876i
$531$	12734.4	+	6132.54i	1.04072	+	0.501186i
$532$	−1087.87	+	1332.41i	−0.0886564	+	0.108585i
$533$	11984.1	−	5771.26i	0.973904	−	0.469008i
$534$	−9624.05	+	6561.56i	−0.779912	+	0.531735i
$535$	5315.28	−	4931.86i	0.429532	−	0.398547i
$536$	−343.009	−	4577.14i	−0.0276413	−	0.368847i
$537$	−10820.1	−	27569.1i	−0.869499	−	2.21545i
$538$	363.508			0.0291300
$539$	−3779.71	+	9015.03i	−0.302048	+	0.720418i
$540$	13301.4			1.06000
$541$	−2879.39	−	7336.56i	−0.228826	−	0.583038i	0.769636	−	0.638483i	$-0.220438\pi$
$541$	−2879.39	−	7336.56i	−0.228826	−	0.583038i	−0.998462	+	0.0554447i	$0.982342\pi$
$542$	−1323.37	−	17659.1i	−0.104878	−	1.39949i
$543$	20819.2	−	19317.4i	1.64537	−	1.52668i
$544$	−2107.47	+	1436.85i	−0.166097	+	0.113243i
$545$	3730.98	−	1796.74i	0.293243	−	0.141219i
$546$	−23869.8	+	11158.7i	−1.87094	+	0.874630i
$547$	−2197.52	−	1058.27i	−0.171772	−	0.0827210i	0.346022	−	0.938226i	$-0.387532\pi$
$547$	−2197.52	−	1058.27i	−0.171772	−	0.0827210i	−0.517794	+	0.855505i	$0.673247\pi$
$548$	9483.87	−	1429.46i	0.739290	−	0.111430i
$549$	−22645.5	−	15439.4i	−1.76045	−	1.20025i
$550$	14874.3	+	2241.94i	1.15317	+	0.173812i
$551$	1370.81	+	1271.92i	0.105986	+	0.0983407i
$552$	3523.80	−	4418.70i	0.271708	−	0.340711i
$553$	−2220.38	+	308.591i	−0.170742	+	0.0237299i
$554$	−2997.79	−	3759.11i	−0.229899	−	0.288284i
$555$	−2813.96	+	37549.7i	−0.215218	+	2.87189i
$556$	9531.08	−	2939.95i	0.726993	−	0.224248i
$557$	−7547.68	−	13073.0i	−0.574157	−	0.994469i	−0.996133	−	0.0878621i	$-0.971997\pi$
$557$	−7547.68	−	13073.0i	−0.574157	−	0.994469i	0.421976	−	0.906607i	$-0.361337\pi$
$558$	−8394.13	+	14539.1i	−0.636831	+	1.10302i
$559$	−5043.47	+	22096.9i	−0.381603	+	1.67191i
$560$	−2197.38	+	5414.84i	−0.165815	+	0.408605i
$561$	4338.06	+	19006.3i	0.326476	+	1.43039i
$562$	973.632	+	300.326i	0.0730786	+	0.0225418i
$563$	−3113.52	+	7933.13i	−0.233072	+	0.593857i	−0.998783	−	0.0493277i	$-0.984292\pi$
$563$	−3113.52	+	7933.13i	−0.233072	+	0.593857i	0.765711	+	0.643185i	$0.222387\pi$
$564$	−2585.47	+	6587.67i	−0.193028	+	0.491828i
$565$	−34065.8	−	10507.9i	−2.53657	−	0.782428i
$566$	−1478.48	−	6477.65i	−0.109797	−	0.481053i
$567$	2847.71	+	1989.90i	0.210922	+	0.147386i
$568$	−716.118	+	3137.52i	−0.0529008	+	0.231773i
$569$	−8063.86	+	13967.0i	−0.594121	+	1.02905i	0.399550	+	0.916712i	$0.369167\pi$
$569$	−8063.86	+	13967.0i	−0.594121	+	1.02905i	−0.993670	+	0.112336i	$0.964167\pi$
$570$	3929.65	+	6806.36i	0.288763	+	0.500153i
$571$	−17174.2	+	5297.55i	−1.25870	+	0.388259i	−0.851150	−	0.524923i	$-0.824094\pi$
$571$	−17174.2	+	5297.55i	−1.25870	+	0.388259i	−0.407554	+	0.913181i	$0.633618\pi$
$572$	706.158	−	9423.03i	0.0516188	−	0.688805i
$573$	14077.7	+	17652.8i	1.02636	+	1.28701i
$574$	4949.20	−	3291.56i	0.359888	−	0.239350i
$575$	−13545.2	+	16985.2i	−0.982393	+	1.23188i
$576$	−2188.54	−	2030.66i	−0.158314	−	0.146894i
$577$	25829.4	+	3893.15i	1.86359	+	0.280891i	0.981681	−	0.190532i	$-0.0610213\pi$
$577$	25829.4	+	3893.15i	1.86359	+	0.280891i	0.881907	+	0.471423i	$0.156259\pi$
$578$	2380.33	+	1622.88i	0.171295	+	0.116787i
$579$	12441.3	−	1875.23i	0.892995	−	0.134597i
$580$	5723.78	+	2756.43i	0.409771	+	0.197335i
$581$	−698.388	+	2905.37i	−0.0498692	+	0.207461i
$582$	23745.7	−	11435.3i	1.69122	−	0.814450i
$583$	−7911.83	+	5394.20i	−0.562049	+	0.383199i
$584$	1107.99	−	1028.06i	0.0785082	−	0.0728450i
$585$	5698.57	+	76042.1i	0.402747	+	5.37428i
$586$	−5314.33	−	13540.7i	−0.374630	−	0.954541i
$587$	9151.23			0.643461			0.321730	−	0.946831i	$-0.395736\pi$
$587$	9151.23			0.643461			0.321730	+	0.946831i	$0.395736\pi$
$588$	−9878.42	+	6407.17i	−0.692822	+	0.449366i
$589$	−4178.17			−0.292290
$590$	4365.95	+	11124.3i	0.304650	+	0.776234i
$591$	−230.261	−	3072.61i	−0.0160265	−	0.213859i
$592$	2609.60	−	2421.35i	0.181172	−	0.168103i
$593$	−156.982	+	107.028i	−0.0108709	+	0.00741169i	−0.568743	−	0.822515i	$-0.692570\pi$
$593$	−156.982	+	107.028i	−0.0108709	+	0.00741169i	0.557872	+	0.829927i	$0.311618\pi$
$594$	−8659.48	+	4170.19i	−0.598153	+	0.288055i
$595$	29110.2	+	334.872i	2.00572	+	0.0230730i
$596$	−1148.78	−	553.222i	−0.0789525	−	0.0380215i
$597$	2192.81	−	330.514i	0.150328	−	0.0226583i
$598$	11276.0	+	7687.83i	0.771085	+	0.525717i
$599$	−10962.6	−	1652.34i	−0.747776	−	0.112709i	−0.235911	−	0.971775i	$-0.575807\pi$
$599$	−10962.6	−	1652.34i	−0.747776	−	0.112709i	−0.511866	+	0.859066i	$0.671045\pi$
$600$	13281.7	+	12323.7i	0.903708	+	0.838519i
$601$	−1666.32	+	2089.49i	−0.113096	+	0.141817i	−0.835157	−	0.550012i	$-0.814623\pi$
$601$	−1666.32	+	2089.49i	−0.113096	+	0.141817i	0.722062	+	0.691829i	$0.243195\pi$
$602$	−872.996	+	10090.4i	−0.0591041	+	0.683144i
$603$	−16687.4	−	20925.3i	−1.12697	−	1.41318i
$604$	481.349	−	6423.16i	0.0324269	−	0.432706i
$605$	9776.14	−	3015.54i	0.656953	−	0.202643i
$606$	4579.51	+	7931.94i	0.306980	+	0.531705i
$607$	560.227	−	970.342i	0.0374611	−	0.0648846i	−0.846687	−	0.532091i	$-0.821406\pi$
$607$	560.227	−	970.342i	0.0374611	−	0.0648846i	0.884148	+	0.467207i	$0.154740\pi$
$608$	165.337	−	724.390i	0.0110285	−	0.0483189i
$609$	6272.22	+	11158.3i	0.417345	+	0.742458i
$610$	−5156.56	−	22592.4i	−0.342267	−	1.49957i
$611$	−16329.5	−	5036.97i	−1.08121	−	0.333509i
$612$	−5433.79	+	13845.1i	−0.358902	+	0.914467i
$613$	9367.62	−	23868.3i	0.617218	−	1.57265i	−0.189610	−	0.981859i	$-0.560722\pi$
$613$	9367.62	−	23868.3i	0.617218	−	1.57265i	0.806828	−	0.590786i	$-0.201182\pi$
$614$	2516.61	+	776.272i	0.165411	+	0.0510225i
$615$	−6043.15	−	26476.8i	−0.396233	−	1.73601i
$616$	−267.095	−	4214.09i	−0.0174701	−	0.275634i
$617$	−612.446	+	2683.30i	−0.0399614	+	0.175082i	−0.990970	−	0.134081i	$-0.957192\pi$
$617$	−612.446	+	2683.30i	−0.0399614	+	0.175082i	0.951009	+	0.309163i	$0.100049\pi$
$618$	13795.3	−	23894.1i	0.897939	−	1.55528i
$619$	2916.36	+	5051.29i	0.189367	+	0.327994i	0.945040	−	0.326956i	$-0.106023\pi$
$619$	2916.36	+	5051.29i	0.189367	+	0.327994i	−0.755672	+	0.654950i	$0.772690\pi$
$620$	−13563.8	+	4183.89i	−0.878607	+	0.271014i
$621$	1037.34	−	13842.3i	0.0670320	−	0.894480i
$622$	2543.94	+	3190.00i	0.163992	+	0.205639i
$623$	−9114.49	−	8654.23i	−0.586139	−	0.556540i
$624$	7096.45	−	8898.66i	0.455265	−	0.570884i
$625$	−15418.2	−	14306.0i	−0.986763	−	0.915583i
$626$	19502.1	+	2939.47i	1.24515	+	0.187675i
$627$	−4692.19	−	3199.08i	−0.298864	−	0.203762i
$628$	−10463.0	+	1577.04i	−0.664838	+	0.100208i
$629$	−15978.4	−	7694.80i	−1.01288	−	0.487777i
$630$	7199.80	+	33305.9i	0.455313	+	2.10625i
$631$	−3723.06	+	1792.93i	−0.234886	+	0.113115i	−0.547625	−	0.836724i	$-0.684468\pi$
$631$	−3723.06	+	1792.93i	−0.234886	+	0.113115i	0.312739	+	0.949839i	$0.398753\pi$
$632$	800.073	−	545.481i	0.0503563	−	0.0343324i
$633$	8700.97	−	8073.32i	0.546339	−	0.506929i
$634$	275.150	+	3671.63i	0.0172360	+	0.229998i
$635$	2726.42	+	6946.80i	0.170385	+	0.434134i
$636$	−11533.9			−0.719102
$637$	−17210.9	−	22630.7i	−1.07052	−	1.40763i
$638$	−4590.49			−0.284858
$639$	6855.85	+	17468.4i	0.424434	+	1.08144i
$640$	−188.637	−	2517.19i	−0.0116508	−	0.155470i
$641$	−14311.5	+	13279.1i	−0.881854	+	0.818241i	−0.984301	−	0.176497i	$-0.943523\pi$
$641$	−14311.5	+	13279.1i	−0.881854	+	0.818241i	0.102447	+	0.994738i	$0.467333\pi$
$642$	−5214.20	+	3554.98i	−0.320542	+	0.218542i
$643$	1138.67	−	548.353i	0.0698361	−	0.0336313i	−0.398640	−	0.917108i	$-0.630518\pi$
$643$	1138.67	−	548.353i	0.0698361	−	0.0336313i	0.468476	+	0.883476i	$0.344803\pi$
$644$	5463.68	+	2709.03i	0.334315	+	0.165762i
$645$	41693.0	+	20078.3i	2.54521	+	1.22571i
$646$	−3660.22	+	551.689i	−0.222925	+	0.0336005i
$647$	−9679.80	−	6599.57i	−0.588179	−	0.401014i	0.232338	−	0.972635i	$-0.425362\pi$
$647$	−9679.80	−	6599.57i	−0.588179	−	0.401014i	−0.820518	+	0.571621i	$0.806315\pi$
$648$	−1483.90	−	223.661i	−0.0899582	−	0.0135590i
$649$	−6329.95	−	5873.33i	−0.382854	−	0.355237i
$650$	−27278.3	+	34205.9i	−1.64606	+	2.06410i
$651$	−27230.6	−	8743.80i	−1.63940	−	0.526416i
$652$	−2698.74	−	3384.11i	−0.162102	−	0.203270i
$653$	398.661	−	5319.76i	0.0238910	−	0.318803i	−0.972436	−	0.233171i	$-0.925090\pi$
$653$	398.661	−	5319.76i	0.0238910	−	0.318803i	0.996327	−	0.0856322i	$-0.0272910\pi$
$654$	−3444.03	+	1062.34i	−0.205921	+	0.0635182i
$655$	−12774.9	−	22126.8i	−0.762071	−	1.31995i
$656$	−1283.74	+	2223.51i	−0.0764051	+	0.132338i
$657$	1961.19	−	8592.53i	0.116459	−	0.510238i
$658$	−7537.29	−	1224.89i	−0.446557	−	0.0725704i
$659$	−2247.63	−	9847.52i	−0.132861	−	0.582102i	−0.996900	−	0.0786772i	$-0.974930\pi$
$659$	−2247.63	−	9847.52i	−0.132861	−	0.582102i	0.864039	−	0.503425i	$-0.167927\pi$
$660$	−18435.9	−	5686.74i	−1.08730	−	0.335388i
$661$	−4214.96	+	10739.6i	−0.248023	+	0.631952i	−0.999617	−	0.0276739i	$-0.991190\pi$
$661$	−4214.96	+	10739.6i	−0.248023	+	0.631952i	0.751594	+	0.659626i	$0.229285\pi$
$662$	−3137.68	+	7994.69i	−0.184214	+	0.469369i
$663$	−54182.7	−	16713.1i	−3.17388	−	0.979012i
$664$	−287.219	−	1258.39i	−0.0167865	−	0.0735466i
$665$	−6282.55	+	5696.28i	−0.366356	+	0.332169i
$666$	4619.11	−	20237.6i	0.268749	−	1.17747i
$667$	3314.90	−	5741.58i	0.192434	−	0.333306i
$668$	1022.89	+	1771.69i	0.0592465	+	0.102618i
$669$	−26424.8	+	8150.96i	−1.52712	+	0.471053i
$670$	1691.09	−	22566.1i	0.0975113	−	1.30120i
$671$	10440.1	+	13091.5i	0.600648	+	0.753189i
$672$	2593.52	−	4375.09i	0.148880	−	0.251150i
$673$	1400.12	−	1755.70i	0.0801943	−	0.100561i	−0.740116	−	0.672479i	$-0.765229\pi$
$673$	1400.12	−	1755.70i	0.0801943	−	0.100561i	0.820310	+	0.571919i	$0.193801\pi$
$674$	−15170.3	−	14076.0i	−0.866971	−	0.804432i
$675$	44003.3	+	6632.43i	2.50917	+	0.378196i
$676$	15447.3	+	10531.8i	0.878885	+	0.599214i
$677$	3572.67	−	538.493i	0.202820	−	0.0305701i	−0.0468466	−	0.998902i	$-0.514917\pi$
$677$	3572.67	−	538.493i	0.202820	−	0.0305701i	0.249666	+	0.968332i	$0.419679\pi$
$678$	27954.8	+	13462.3i	1.58347	+	0.762561i
$679$	17474.3	+	22436.8i	0.987633	+	1.26811i
$680$	−11329.9	+	5456.20i	−0.638945	+	0.307700i
$681$	42670.6	−	29092.3i	2.40109	−	1.63703i
$682$	7518.63	−	6976.27i	0.422145	−	0.391694i
$683$	584.517	+	7799.84i	0.0327466	+	0.436973i	0.989348	+	0.145572i	$0.0465023\pi$
$683$	584.517	+	7799.84i	0.0327466	+	0.436973i	−0.956601	+	0.291401i	$0.905879\pi$
$684$	−1582.88	−	4033.11i	−0.0884837	−	0.225453i
$685$	47285.2			2.63748
$686$	−9009.65	−	8957.71i	−0.501443	−	0.498553i
$687$	−14918.4			−0.828490
$688$	−1598.33	−	4072.49i	−0.0885696	−	0.225672i
$689$	−2081.32	−	27773.3i	−0.115083	−	1.53567i
$690$	20425.8	−	18952.3i	1.12695	−	1.04566i
$691$	12347.8	−	8418.62i	0.679789	−	0.463472i	−0.173552	−	0.984825i	$-0.555525\pi$
$691$	12347.8	−	8418.62i	0.679789	−	0.463472i	0.853342	+	0.521352i	$0.174572\pi$
$692$	6143.25	−	2958.43i	0.337473	−	0.162518i
$693$	−15129.1	−	19425.6i	−0.829304	−	1.06481i
$694$	−3727.68	−	1795.16i	−0.203892	−	0.0981891i
$695$	48625.3	−	7329.09i	2.65390	−	0.400012i
$696$	−4568.45	−	3114.72i	−0.248803	−	0.169631i
$697$	12647.8	+	1906.35i	0.687331	+	0.103599i
$698$	−11743.4	−	10896.3i	−0.636810	−	0.590873i
$699$	−7747.74	+	9715.35i	−0.419237	+	0.525706i
$700$	−9969.30	+	16817.6i	−0.538292	+	0.908063i
$701$	5433.29	+	6813.13i	0.292743	+	0.367088i	0.906353	−	0.422521i	$-0.138855\pi$
$701$	5433.29	+	6813.13i	0.292743	+	0.367088i	−0.613610	+	0.789609i	$0.710283\pi$
$702$	2089.05	−	27876.5i	0.112317	−	1.49876i
$703$	4936.65	−	1522.75i	0.264850	−	0.0816953i
$704$	911.984	+	1579.60i	0.0488234	+	0.0845647i
$705$	−17445.1	+	30215.8i	−0.931943	+	1.61417i
$706$	−3478.46	+	15240.1i	−0.185430	+	0.812422i
$707$	−7321.51	+	6638.29i	−0.389468	+	0.353124i
$708$	−2314.42	−	10140.1i	−0.122855	−	0.538261i
$709$	20487.9	+	6319.68i	1.08525	+	0.334754i	0.785245	−	0.619185i	$-0.212537\pi$
$709$	20487.9	+	6319.68i	1.08525	+	0.334754i	0.300001	+	0.953939i	$0.403013\pi$
$710$	−5796.61	+	14769.5i	−0.306398	+	0.780691i
$711$	2062.87	−	5256.10i	0.108810	−	0.277242i
$712$	5187.92	+	1600.26i	0.273070	+	0.0842309i
$713$	3296.23	+	14441.7i	0.173134	+	0.758550i
$714$	−25009.5	−	4064.31i	−1.31086	−	0.213030i
$715$	10366.7	−	45419.4i	0.542226	−	2.37565i
$716$	−6902.08	+	11954.7i	−0.360255	+	0.623980i
$717$	4066.92	+	7044.11i	0.211830	+	0.366900i
$718$	13341.2	−	4115.20i	0.693437	−	0.213897i
$719$	1483.26	−	19792.8i	0.0769351	−	1.02663i	−0.816473	−	0.577383i	$-0.804074\pi$
$719$	1483.26	−	19792.8i	0.0769351	−	1.02663i	0.893409	−	0.449245i	$-0.148307\pi$
$720$	−9177.20	−	11507.8i	−0.475020	−	0.595656i
$721$	28345.6	+	9101.83i	1.46414	+	0.470139i
$722$	−7880.74	+	9882.13i	−0.406220	+	0.509384i
$723$	4807.01	+	4460.25i	0.247268	+	0.229431i
$724$	−13089.7	−	1972.95i	−0.671926	−	0.101277i
$725$	17560.8	+	11972.8i	0.899577	+	0.613321i
$726$	−8804.73	+	1327.10i	−0.450102	+	0.0678420i
$727$	30301.9	+	14592.6i	1.54585	+	0.744444i	0.995875	−	0.0907352i	$-0.0289217\pi$
$727$	30301.9	+	14592.6i	1.54585	+	0.744444i	0.549978	+	0.835179i	$0.314636\pi$
$728$	11003.1	+	5455.61i	0.560167	+	0.277745i
$729$	27318.4	−	13155.8i	1.38792	−	0.668386i
$730$	6156.97	−	4197.75i	0.312164	−	0.212830i
$731$	−15976.8	+	14824.3i	−0.808375	+	0.750063i
$732$	1507.22	+	20112.4i	0.0761042	+	1.01554i
$733$	3881.59	+	9890.13i	0.195593	+	0.498363i	0.994699	−	0.102827i	$-0.0327887\pi$
$733$	3881.59	+	9890.13i	0.195593	+	0.498363i	−0.799106	+	0.601190i	$0.794694\pi$
$734$	−23992.2			−1.20649
$735$	−52866.3	+	23976.9i	−2.65307	+	1.20327i
$736$	−2634.26			−0.131930
$737$	5973.87	+	15221.2i	0.298576	+	0.760758i
$738$	1118.80	+	14929.4i	0.0558044	+	0.744657i
$739$	3437.50	−	3189.53i	0.171110	−	0.158767i	−0.589969	−	0.807426i	$-0.700860\pi$
$739$	3437.50	−	3189.53i	0.171110	−	0.158767i	0.761079	+	0.648659i	$0.224670\pi$
$740$	14501.3	−	9886.80i	0.720375	−	0.491143i
$741$	14881.7	−	7166.63i	0.737775	−	0.355294i
$742$	−2629.62	−	12164.5i	−0.130103	−	0.601849i
$743$	13241.9	+	6376.96i	0.653833	+	0.314869i	0.731230	−	0.682131i	$-0.238947\pi$
$743$	13241.9	+	6376.96i	0.653833	+	0.314869i	−0.0773969	+	0.997000i	$0.524661\pi$
$744$	12216.1	−	1841.27i	0.601965	−	0.0907317i
$745$	−5193.90	−	3541.14i	−0.255422	−	0.174144i
$746$	−105.242	−	15.8626i	−0.00516510	−	0.000778514i
$747$	−5517.29	−	5119.30i	−0.270237	−	0.250744i
$748$	5665.42	−	7104.21i	0.276936	−	0.347267i
$749$	−4938.13	−	4688.76i	−0.240901	−	0.228737i
$750$	29314.5	+	36759.2i	1.42722	+	1.78968i
$751$	1341.26	−	17897.9i	0.0651709	−	0.869646i	−0.864824	−	0.502074i	$-0.832570\pi$
$751$	1341.26	−	17897.9i	0.0651709	−	0.869646i	0.929995	−	0.367571i	$-0.119811\pi$
$752$	3151.97	−	972.255i	0.152847	−	0.0471469i
$753$	−12781.5	−	22138.1i	−0.618569	−	1.07139i
$754$	6675.76	−	11562.8i	0.322436	−	0.558476i
$755$	7066.39	−	30959.9i	0.340626	−	1.49238i
$756$	−790.156	−	12466.7i	−0.0380128	−	0.599748i
$757$	4994.00	+	21880.1i	0.239775	+	1.05052i	0.941218	+	0.337799i	$0.109682\pi$
$757$	4994.00	+	21880.1i	0.239775	+	1.05052i	−0.701443	+	0.712726i	$0.747460\pi$
$758$	6931.48	+	2138.08i	0.332141	+	0.102452i
$759$	−7355.76	+	18742.2i	−0.351775	+	0.896308i
$760$	1338.32	−	3409.99i	0.0638763	−	0.162754i
$761$	26035.0	+	8030.73i	1.24017	+	0.382541i	0.844352	−	0.535789i	$-0.179986\pi$
$761$	26035.0	+	8030.73i	1.24017	+	0.382541i	0.395815	+	0.918330i	$0.370462\pi$
$762$	−1445.29	−	6332.23i	−0.0687104	−	0.301040i
$763$	−1905.63	−	3390.12i	−0.0904174	−	0.160853i
$764$	2341.80	−	10260.1i	0.110894	−	0.485860i
$765$	−36663.7	+	63503.4i	−1.73278	+	3.00127i
$766$	2176.24	+	3769.37i	0.102651	+	0.177797i
$767$	23999.4	−	7402.85i	1.12982	−	0.348502i
$768$	−164.179	+	2190.82i	−0.00771394	+	0.102935i
$769$	−19215.2	−	24095.0i	−0.901062	−	1.12990i	−0.990988	−	0.133947i	$-0.957235\pi$
$769$	−19215.2	−	24095.0i	−0.901062	−	1.12990i	0.0899270	−	0.995948i	$-0.471337\pi$
$770$	1794.41	−	20740.4i	0.0839820	−	0.970691i
$771$	−13564.0	+	17008.7i	−0.633586	+	0.794492i
$772$	−4298.90	−	3988.80i	−0.200415	−	0.185958i
$773$	13916.8	+	2097.62i	0.647547	+	0.0976020i	0.464600	−	0.885521i	$-0.346198\pi$
$773$	13916.8	+	2097.62i	0.647547	+	0.0976020i	0.182947	+	0.983123i	$0.441436\pi$
$774$	−21077.7	−	14370.5i	−0.978841	−	0.667363i
$775$	−46957.7	+	7077.73i	−2.17648	+	0.328051i
$776$	−11067.8	−	5329.99i	−0.512000	−	0.246566i
$777$	35360.6	+	406.774i	1.63263	+	0.0187811i
$778$	−14529.5	+	6997.03i	−0.669546	+	0.322437i
$779$	−3078.53	+	2098.91i	−0.141592	+	0.0965355i
$780$	41134.7	−	38167.4i	1.88828	−	1.75207i
$781$	−856.755	−	11432.6i	−0.0392536	−	0.523803i
$782$	4794.50	+	12216.2i	0.219247	+	0.558631i
$783$	−13580.2			−0.619817
$784$	5205.58	+	1737.83i	0.237135	+	0.0791648i
$785$	−52167.0			−2.37187
$786$	8124.12	+	20699.9i	0.368674	+	0.939366i
$787$	724.669	+	9670.03i	0.0328229	+	0.437992i	0.989271	+	0.146090i	$0.0466689\pi$
$787$	724.669	+	9670.03i	0.0328229	+	0.437992i	−0.956448	+	0.291902i	$0.905712\pi$
$788$	−1052.78	+	976.834i	−0.0475934	+	0.0441603i
$789$	47016.0	−	32055.0i	2.12144	−	1.44637i
$790$	4301.26	−	2071.38i	0.193711	−	0.0932865i
$791$	−7824.88	+	32552.4i	−0.351733	+	1.46325i
$792$	9582.44	+	4614.66i	0.429921	+	0.207039i
$793$	−48158.0	+	7258.65i	−2.15655	+	0.325047i
$794$	−23726.4	−	16176.4i	−1.06048	−	0.723022i
$795$	−56229.0	−	8475.16i	−2.50847	−	0.378092i
$796$	−757.691	−	703.035i	−0.0337383	−	0.0313045i
$797$	−10961.9	+	13745.8i	−0.487190	+	0.610916i	−0.963286	−	0.268477i	$-0.913480\pi$
$797$	−10961.9	+	13745.8i	−0.487190	+	0.610916i	0.476097	+	0.879393i	$0.342051\pi$
$798$	6145.81	−	4087.39i	0.272631	−	0.181318i
$799$	−10245.5	−	12847.5i	−0.453642	−	0.568849i
$800$	631.093	−	8421.36i	0.0278907	−	0.372175i
$801$	30251.2	−	9331.26i	1.33442	−	0.411615i
$802$	4602.82	+	7972.32i	0.202657	+	0.351013i
$803$	−2692.26	+	4663.13i	−0.118316	+	0.204929i
$804$	−4382.61	+	19201.5i	−0.192242	+	0.842269i
$805$	24645.4	+	17221.5i	1.07905	+	0.754011i
$806$	6638.14	+	29083.6i	0.290098	+	1.27100i
$807$	−1490.49	−	459.756i	−0.0650159	−	0.0200548i
$808$	1559.64	−	3973.90i	0.0679060	−	0.173022i
$809$	7281.59	−	18553.2i	0.316449	−	0.806298i	−0.680821	−	0.732450i	$-0.738377\pi$
$809$	7281.59	−	18553.2i	0.316449	−	0.806298i	0.997270	−	0.0738480i	$-0.0235280\pi$
$810$	−7069.80	−	2180.74i	−0.306676	−	0.0945970i
$811$	−7931.39	−	34749.7i	−0.343414	−	1.50459i	−0.791814	−	0.610762i	$-0.790863\pi$
$811$	−7931.39	−	34749.7i	−0.343414	−	1.50459i	0.448400	−	0.893833i	$-0.351994\pi$
$812$	2243.44	−	5528.35i	0.0969573	−	0.238925i
$813$	−16908.7	+	74081.7i	−0.729413	+	3.19577i
$814$	−6340.97	+	10982.9i	−0.273036	+	0.472912i
$815$	−10670.0	−	18480.9i	−0.458592	−	0.794305i
$816$	10458.5	−	3226.03i	0.448679	−	0.138399i
$817$	474.455	−	6331.16i	0.0203171	−	0.271113i
$818$	2926.09	+	3669.21i	0.125071	+	0.156835i
$819$	70931.8	−	9858.18i	3.02632	−	0.420602i
$820$	−7892.22	+	9896.54i	−0.336108	+	0.421466i
$821$	−7994.09	−	7417.43i	−0.339824	−	0.315311i	0.491737	−	0.870744i	$-0.336362\pi$
$821$	−7994.09	−	7417.43i	−0.339824	−	0.315311i	−0.831561	+	0.555433i	$0.812553\pi$
$822$	−40694.7	−	6133.74i	−1.72675	−	0.260266i
$823$	−13448.2	−	9168.86i	−0.569594	−	0.388343i	0.244000	−	0.969775i	$-0.421540\pi$
$823$	−13448.2	−	9168.86i	−0.569594	−	0.388343i	−0.813595	+	0.581432i	$0.802493\pi$
$824$	−12716.3	+	1916.67i	−0.537612	+	0.0810319i
$825$	−58153.7	−	28005.4i	−2.45413	−	1.18184i
$826$	10166.8	−	4752.80i	0.428268	−	0.200207i
$827$	26022.4	−	12531.7i	1.09418	−	0.526931i	0.202358	−	0.979312i	$-0.435140\pi$
$827$	26022.4	−	12531.7i	1.09418	−	0.526931i	0.891825	+	0.452381i	$0.149425\pi$
$828$	−12691.5	+	8652.94i	−0.532683	+	0.363177i
$829$	12263.2	−	11378.6i	0.513776	−	0.476714i	−0.380153	−	0.924924i	$-0.624129\pi$
$829$	12263.2	−	11378.6i	0.513776	−	0.476714i	0.893929	+	0.448209i	$0.147938\pi$
$830$	−475.554	−	6345.83i	−0.0198876	−	0.265382i
$831$	7537.43	+	19205.1i	0.314646	+	0.801704i
$832$	−5305.05			−0.221057
$833$	−1415.41	−	27303.4i	−0.0588727	−	1.13566i
$834$	−42798.7			−1.77698
$835$	3684.83	+	9388.80i	0.152717	+	0.389117i
$836$	197.808	+	2639.56i	0.00818339	+	0.109200i
$837$	22242.6	−	20638.1i	0.918540	−	0.852280i
$838$	22783.5	−	15533.5i	0.939193	−	0.640331i
$839$	−6985.25	+	3363.92i	−0.287435	+	0.138421i	−0.572045	−	0.820222i	$-0.693850\pi$
$839$	−6985.25	+	3363.92i	−0.287435	+	0.138421i	0.284611	+	0.958643i	$0.408136\pi$
$840$	15858.5	−	19423.3i	0.651393	−	0.797819i
$841$	16130.0	+	7767.78i	0.661362	+	0.318495i
$842$	25274.5	−	3809.52i	1.03446	−	0.155920i
$843$	−3612.34	−	2462.85i	−0.147587	−	0.100623i
$844$	−5470.57	−	824.556i	−0.223110	−	0.0336284i
$845$	67568.3	+	62694.3i	2.75079	+	2.55236i
$846$	11992.2	−	15037.7i	0.487351	−	0.611118i
$847$	−3407.05	−	8983.53i	−0.138215	−	0.364437i
$848$	3351.84	+	4203.08i	0.135734	+	0.170205i
$849$	−2130.56	+	28430.3i	−0.0861255	+	1.14926i
$850$	−40202.0	+	12400.7i	−1.62225	+	0.500399i
$851$	−9157.94	−	15862.0i	−0.368896	−	0.638946i
$852$	6904.56	−	11959.0i	0.277637	−	0.480881i
$853$	−10033.8	+	43961.0i	−0.402757	+	1.76459i	0.213397	+	0.976966i	$0.431547\pi$
$853$	−10033.8	+	43961.0i	−0.402757	+	1.76459i	−0.616154	+	0.787626i	$0.711310\pi$
$854$	−20868.3	+	6175.06i	−0.836182	+	0.247431i
$855$	−4753.15	−	20824.9i	−0.190122	−	0.832979i
$856$	2810.76	+	867.004i	0.112231	+	0.0346187i
$857$	−1836.64	+	4679.68i	−0.0732070	+	0.186529i	−0.962793	−	0.270238i	$-0.912897\pi$
$857$	−1836.64	+	4679.68i	−0.0732070	+	0.186529i	0.889586	+	0.456767i	$0.150993\pi$
$858$	−14813.5	+	37744.2i	−0.589422	+	1.50182i
$859$	17919.0	+	5527.28i	0.711744	+	0.219544i	0.629424	−	0.777062i	$-0.283291\pi$
$859$	17919.0	+	5527.28i	0.711744	+	0.219544i	0.0823200	+	0.996606i	$0.473767\pi$
$860$	−4799.57	−	21028.3i	−0.190307	−	0.833788i
$861$	−24456.3	+	7236.76i	−0.968024	+	0.286444i
$862$	5677.88	−	24876.4i	0.224350	−	0.982940i
$863$	15522.6	−	26885.9i	0.612277	−	1.06049i	−0.378579	−	0.925569i	$-0.623587\pi$
$863$	15522.6	−	26885.9i	0.612277	−	1.06049i	0.990856	−	0.134925i	$-0.0430795\pi$
$864$	2697.96	+	4673.00i	0.106234	+	0.184003i
$865$	32122.8	−	9908.59i	1.26267	−	0.389482i
$866$	−1697.11	+	22646.4i	−0.0665938	+	0.888633i
$867$	−7707.50	−	9664.91i	−0.301915	−	0.378590i
$868$	4727.09	+	12464.1i	0.184848	+	0.487397i
$869$	−2150.80	+	2697.02i	−0.0839598	+	0.105282i
$870$	−19983.0	−	18541.5i	−0.778720	−	0.722547i
$871$	−47027.4	−	7088.24i	−1.82946	−	0.275747i
$872$	1387.99	+	946.316i	0.0539029	+	0.0367504i
$873$	−70831.1	+	10676.1i	−2.74601	+	0.413895i
$874$	−3444.29	−	1658.68i	−0.133301	−	0.0641942i
$875$	−32085.5	+	39297.9i	−1.23964	+	1.51830i
$876$	−5843.35	+	2814.01i	−0.225375	+	0.108535i
$877$	−18246.7	+	12440.4i	−0.702561	+	0.478998i	−0.861153	−	0.508346i	$-0.830257\pi$
$877$	−18246.7	+	12440.4i	−0.702561	+	0.478998i	0.158592	+	0.987344i	$0.449305\pi$
$878$	−293.937	+	272.734i	−0.0112983	+	0.0104833i
$879$	4664.42	+	62242.4i	0.178984	+	2.38838i
$880$	3285.32	+	8370.86i	0.125850	+	0.320661i
$881$	50214.0			1.92026			0.960132	−	0.279548i	$-0.0901847\pi$
$881$	50214.0			1.92026			0.960132	+	0.279548i	$0.0901847\pi$
$882$	30788.1	−	8726.50i	1.17539	−	0.333148i
$883$	38349.1			1.46155			0.730775	−	0.682618i	$-0.239159\pi$
$883$	38349.1			1.46155			0.730775	+	0.682618i	$0.239159\pi$
$884$	9655.46	+	24601.7i	0.367362	+	0.936024i
$885$	−3832.02	−	51134.8i	−0.145550	−	1.94223i
$886$	9692.91	−	8993.71i	0.367539	−	0.341026i
$887$	29036.7	−	19796.9i	1.09916	−	0.749395i	0.128948	−	0.991651i	$-0.458840\pi$
$887$	29036.7	−	19796.9i	1.09916	−	0.749395i	0.970212	+	0.242256i	$0.0778874\pi$
$888$	−13762.6	+	6627.72i	−0.520093	+	0.250464i
$889$	6348.91	−	2968.00i	0.239523	−	0.111972i
$890$	24115.8	+	11613.6i	0.908273	+	0.437401i
$891$	5286.29	−	796.779i	0.198762	−	0.0299586i
$892$	10649.5	+	7260.73i	0.399745	+	0.272542i
$893$	4733.37	+	713.441i	0.177375	+	0.0267351i
$894$	4010.63	+	3721.32i	0.150040	+	0.139217i
$895$	−42432.7	+	53209.0i	−1.58477	+	1.98724i
$896$	−2348.02	+	326.331i	−0.0875469	+	0.0121674i
$897$	−36511.6	−	45784.0i	−1.35907	−	1.70422i
$898$	−2089.81	+	27886.6i	−0.0776590	+	1.03629i
$899$	13848.1	−	4271.59i	0.513750	−	0.158471i
$900$	−24621.6	−	42645.9i	−0.911913	−	1.57948i
$901$	13390.9	−	23193.7i	0.495133	−	0.857596i
$902$	2035.29	−	8917.19i	0.0751305	−	0.329168i
$903$	16341.6	−	40269.4i	0.602231	−	1.48403i
$904$	−3218.06	−	14099.2i	−0.118397	−	0.518732i
$905$	−62363.9	−	19236.7i	−2.29066	−	0.706575i
$906$	−10097.5	+	25728.1i	−0.370274	+	0.943443i
$907$	584.436	−	1489.12i	0.0213957	−	0.0545153i	−0.919777	−	0.392442i	$-0.871630\pi$
$907$	584.436	−	1489.12i	0.0213957	−	0.0545153i	0.941172	+	0.337927i	$0.109726\pi$
$908$	−23001.9	−	7095.16i	−0.840690	−	0.259318i
$909$	−5539.19	−	24268.8i	−0.202116	−	0.885528i
$910$	49632.4	+	34681.8i	1.80802	+	1.26340i
$911$	−9246.62	+	40512.1i	−0.336283	+	1.47335i	0.470444	+	0.882430i	$0.344094\pi$
$911$	−9246.62	+	40512.1i	−0.336283	+	1.47335i	−0.806727	+	0.590924i	$0.798763\pi$
$912$	−1594.12	+	2761.11i	−0.0578802	+	0.100251i
$913$	2299.11	+	3982.18i	0.0833400	+	0.144349i
$914$	1814.18	−	559.599i	0.0656539	−	0.0202515i
$915$	−7430.83	+	99157.5i	−0.268476	+	3.58256i
$916$	4335.40	+	5436.42i	0.156382	+	0.196097i
$917$	−19979.4	+	13287.7i	−0.719495	+	0.478514i
$918$	16760.2	−	21016.6i	0.602581	−	0.755613i
$919$	11358.8	+	10539.4i	0.407717	+	0.378306i	0.857201	−	0.514983i	$-0.172202\pi$
$919$	11358.8	+	10539.4i	0.407717	+	0.378306i	−0.449484	+	0.893288i	$0.648392\pi$
$920$	−12842.3	−	1935.67i	−0.460216	−	0.0693664i
$921$	−9337.07	−	6365.91i	−0.334057	−	0.227757i
$922$	−26221.9	+	3952.31i	−0.936629	+	0.141174i
$923$	30043.0	+	14467.9i	1.07137	+	0.515945i
$924$	−4234.71	+	17616.9i	−0.150770	+	0.627221i
$925$	52902.5	−	25476.5i	1.88046	−	0.905581i
$926$	−6624.85	+	4516.75i	−0.235104	+	0.160291i
$927$	−54969.4	+	51004.2i	−1.94761	+	1.80712i
$928$	192.591	+	2569.95i	0.00681263	+	0.0909083i
$929$	3318.60	+	8455.67i	0.117201	+	0.298624i	0.977422	−	0.211299i	$-0.0677693\pi$
$929$	3318.60	+	8455.67i	0.117201	+	0.298624i	−0.860220	+	0.509922i	$0.829674\pi$
$930$	60907.5			2.14757
$931$	5712.04	+	5549.92i	0.201079	+	0.195372i
$932$	5791.93			0.203563
$933$	−6396.30	−	16297.5i	−0.224443	−	0.571872i
$934$	1812.76	+	24189.7i	0.0635069	+	0.847441i
$935$	32839.7	−	30470.8i	1.14863	−	1.06578i
$936$	−25559.0	+	17425.8i	−0.892545	+	0.608527i
$937$	−37670.3	+	18141.0i	−1.31338	+	0.632489i	−0.953748	−	0.300607i	$-0.902811\pi$
$937$	−37670.3	+	18141.0i	−1.31338	+	0.632489i	−0.359628	+	0.933096i	$0.617097\pi$
$938$	−21250.5	−	244.457i	−0.739714	−	0.00850937i
$939$	−76246.8	−	36718.5i	−2.64986	−	1.27611i
$940$	16080.6	−	2423.76i	0.557970	−	0.0841005i
$941$	−16200.7	−	11045.5i	−0.561242	−	0.382649i	0.249213	−	0.968449i	$-0.419828\pi$
$941$	−16200.7	−	11045.5i	−0.561242	−	0.382649i	−0.810456	+	0.585800i	$0.800780\pi$
$942$	44896.0	+	6766.99i	1.55286	+	0.234056i
$943$	9683.50	+	8984.97i	0.334399	+	0.310277i
$944$	−3022.58	+	3790.19i	−0.104212	+	0.130678i
$945$	5308.48	−	61357.0i	0.182735	−	2.11211i
$946$	9717.30	+	12185.1i	0.333971	+	0.418787i
$947$	2311.72	−	30847.8i	0.0793251	−	1.05852i	−0.805500	−	0.592596i	$-0.798103\pi$
$947$	2311.72	−	30847.8i	0.0793251	−	1.05852i	0.884825	−	0.465924i	$-0.154278\pi$
$948$	−3970.45	+	1224.72i	−0.136028	+	0.0419590i
$949$	−7830.49	−	13562.8i	−0.267849	−	0.463927i
$950$	6127.71	−	10613.5i	0.209273	−	0.362471i
$951$	3515.59	−	15402.8i	0.119875	−	0.525205i
$952$	5786.86	+	10294.8i	0.197010	+	0.350480i
$953$	5263.29	+	23060.0i	0.178903	+	0.783825i	0.982138	+	0.188163i	$0.0602533\pi$
$953$	5263.29	+	23060.0i	0.178903	+	0.783825i	−0.803235	+	0.595662i	$0.796890\pi$
$954$	29954.8	+	9239.84i	1.01659	+	0.313575i
$955$	18955.7	−	48298.3i	0.642295	−	1.63654i
$956$	1385.07	−	3529.10i	0.0468581	−	0.119393i
$957$	18822.4	+	5805.94i	0.635780	+	0.196112i
$958$	7714.42	+	33799.1i	0.260169	+	1.13987i
$959$	−2808.94	−	44318.0i	−0.0945832	−	1.49229i
$960$	−2410.21	+	10559.8i	−0.0810305	+	0.355018i
$961$	−1294.36	+	2241.90i	−0.0434481	+	0.0752542i
$962$	−18442.8	−	31943.9i	−0.618109	−	1.07060i
$963$	16389.7	−	5055.57i	0.548445	−	0.169173i
$964$	228.409	−	3047.91i	0.00763129	−	0.101832i
$965$	−18026.6	−	22604.6i	−0.601344	−	0.754061i
$966$	−18976.4	−	18018.2i	−0.632046	−	0.600129i
$967$	−3461.79	+	4340.94i	−0.115123	+	0.144359i	−0.836054	−	0.548647i	$-0.815143\pi$
$967$	−3461.79	+	4340.94i	−0.115123	+	0.144359i	0.720931	+	0.693007i	$0.243714\pi$
$968$	3042.33	+	2822.87i	0.101017	+	0.0937298i
$969$	15705.8	+	2367.27i	0.520684	+	0.0784804i
$970$	−50040.4	−	34117.0i	−1.65639	−	1.12931i
$971$	−3558.80	+	536.402i	−0.117618	+	0.0177281i	−0.207588	−	0.978216i	$-0.566561\pi$
$971$	−3558.80	+	536.402i	−0.117618	+	0.0177281i	0.0899694	+	0.995945i	$0.471323\pi$
$972$	−10606.2	−	5107.67i	−0.349993	−	0.168548i
$973$	−9757.72	−	45138.6i	−0.321498	−	1.48723i
$974$	12199.9	−	5875.19i	0.401347	−	0.193278i
$975$	155112.	−	105754.i	5.09493	−	3.47367i
$976$	6891.16	−	6394.06i	0.226005	−	0.209702i
$977$	1350.03	+	18014.8i	0.0442080	+	0.589914i	0.974688	+	0.223571i	$0.0717714\pi$
$977$	1350.03	+	18014.8i	0.0442080	+	0.589914i	−0.930480	+	0.366343i	$0.880610\pi$
$978$	6785.50	+	17289.2i	0.221857	+	0.565283i
$979$	−19340.9			−0.631398
$980$	24100.8	+	12297.2i	0.785584	+	0.400835i
$981$	9795.58			0.318806
$982$	−5201.61	−	13253.5i	−0.169033	−	0.430688i
$983$	3794.71	+	50636.9i	0.123126	+	1.64300i	0.626856	+	0.779135i	$0.284341\pi$
$983$	3794.71	+	50636.9i	0.123126	+	1.64300i	−0.503730	+	0.863861i	$0.668039\pi$
$984$	8075.98	−	7493.41i	0.261639	−	0.242766i
$985$	−5850.18	+	3988.59i	−0.189241	+	0.129022i
$986$	11567.4	−	5570.57i	0.373612	−	0.179922i
$987$	29356.0	+	14555.4i	0.946719	+	0.469407i
$988$	−6936.32	−	3340.35i	−0.223354	−	0.107562i
$989$	−22257.7	+	3354.81i	−0.715626	+	0.107863i
$990$	43324.5	+	29538.2i	1.39085	+	0.948267i
$991$	−10167.3	−	1532.47i	−0.325908	−	0.0491227i	−0.0159494	−	0.999873i	$-0.505077\pi$
$991$	−10167.3	−	1532.47i	−0.325908	−	0.0491227i	−0.309959	+	0.950750i	$0.600315\pi$
$992$	−4221.06	−	3916.57i	−0.135099	−	0.125354i
$993$	22976.9	−	28812.2i	0.734291	−	0.920772i
$994$	14187.0	+	4555.49i	0.452702	+	0.145364i
$995$	−3177.23	−	3984.12i	−0.101231	−	0.126940i
$996$	−413.895	+	5523.05i	−0.0131674	+	0.175707i
$997$	−47322.4	+	14597.0i	−1.50323	+	0.463684i	−0.933629	−	0.358241i	$-0.883377\pi$
$997$	−47322.4	+	14597.0i	−1.50323	+	0.463684i	−0.569597	+	0.821924i	$0.692901\pi$
$998$	−9967.31	−	17263.9i	−0.316142	−	0.547574i
$999$	−18758.7	+	32491.1i	−0.594094	+	1.02900i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	98.4.g.b.65.2	✓	84
49.46	even	21	inner	98.4.g.b.95.2	yes	84

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
98.4.g.b.65.2	✓	84	1.1	even	1	trivial
98.4.g.b.95.2	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)

\(f(q)\)	\(=\)	\(q+(0.730682 + 1.86175i) q^{2} +(-0.641325 - 8.55788i) q^{3} +(-2.93221 + 2.72069i) q^{4} +(-16.2940 + 11.1091i) q^{5} +(15.4640 - 7.44707i) q^{6} +(11.3799 + 14.6116i) q^{7} +(-7.20775 - 3.47107i) q^{8} +(-46.1276 + 6.95262i) q^{9} +O(q^{10})\)	\(q+(0.730682 + 1.86175i) q^{2} +(-0.641325 - 8.55788i) q^{3} +(-2.93221 + 2.72069i) q^{4} +(-16.2940 + 11.1091i) q^{5} +(15.4640 - 7.44707i) q^{6} +(11.3799 + 14.6116i) q^{7} +(-7.20775 - 3.47107i) q^{8} +(-46.1276 + 6.95262i) q^{9} +(-32.5880 - 22.2181i) q^{10} +(28.1812 + 4.24763i) q^{11} +(25.1638 + 23.3486i) q^{12} +(-51.6819 + 64.8071i) q^{13} +(-18.8880 + 31.8629i) q^{14} +(105.520 + 132.318i) q^{15} +(1.19568 - 15.9553i) q^{16} +(-76.1674 + 23.4945i) q^{17} +(-46.6486 - 80.7978i) q^{18} +(11.6097 - 20.1085i) q^{19} +(17.5531 - 76.9050i) q^{20} +(117.746 - 106.758i) q^{21} +(12.6835 + 55.5699i) q^{22} +(-78.6635 - 24.2645i) q^{23} +(-25.0825 + 63.9092i) q^{24} +(96.4154 - 245.663i) q^{25} +(-158.417 - 48.8653i) q^{26} +(37.5220 + 164.394i) q^{27} +(-73.1218 - 11.8831i) q^{28} +(-17.9210 + 78.5170i) q^{29} +(-169.241 + 293.133i) q^{30} +(-89.9718 - 155.836i) q^{31} +(30.5783 - 9.43217i) q^{32} +(18.2774 - 243.895i) q^{33} +(-99.3950 - 124.637i) q^{34} +(-347.745 - 111.662i) q^{35} +(116.340 - 145.885i) q^{36} +(163.100 + 151.334i) q^{37} +(45.9200 + 6.92133i) q^{38} +(587.756 + 400.725i) q^{39} +(156.003 - 23.5137i) q^{40} +(-144.577 - 69.6244i) q^{41} +(284.792 + 141.207i) q^{42} +(246.354 - 118.638i) q^{43} +(-94.1896 + 64.2174i) q^{44} +(674.366 - 625.720i) q^{45} +(-12.3037 - 164.181i) q^{46} +(75.3177 + 191.906i) q^{47} -137.310 q^{48} +(-83.9971 + 332.556i) q^{49} +527.811 q^{50} +(249.911 + 636.764i) q^{51} +(-24.7779 - 330.638i) q^{52} +(-246.303 + 228.535i) q^{53} +(-278.644 + 189.977i) q^{54} +(-506.371 + 243.856i) q^{55} +(-31.3054 - 144.817i) q^{56} +(-179.532 - 86.4581i) q^{57} +(-159.273 + 24.0066i) q^{58} +(-250.342 - 170.680i) q^{59} +(-669.401 - 100.896i) q^{60} +(430.697 + 399.629i) q^{61} +(224.386 - 281.371i) q^{62} +(-626.515 - 594.878i) q^{63} +(39.9033 + 50.0372i) q^{64} +(122.159 - 1630.10i) q^{65} +(467.427 - 144.182i) q^{66} +(286.873 + 496.879i) q^{67} +(159.417 - 276.119i) q^{68} +(-157.204 + 688.754i) q^{69} +(-46.2051 - 729.002i) q^{70} +(-89.5147 - 392.190i) q^{71} +(356.609 + 109.999i) q^{72} +(-69.0252 + 175.873i) q^{73} +(-162.572 + 414.228i) q^{74} +(-2164.18 - 667.563i) q^{75} +(20.6672 + 90.5487i) q^{76} +(258.634 + 460.109i) q^{77} +(-316.587 + 1387.06i) q^{78} +(-60.5207 + 104.825i) q^{79} +(157.765 + 273.258i) q^{80} +(179.248 - 55.2908i) q^{81} +(23.9836 - 320.038i) q^{82} +(100.596 + 126.144i) q^{83} +(-54.7994 + 633.388i) q^{84} +(980.069 - 1228.97i) q^{85} +(400.879 + 371.962i) q^{86} +(683.433 + 103.011i) q^{87} +(-188.379 - 128.435i) q^{88} +(-671.061 + 101.146i) q^{89} +(1657.68 + 798.297i) q^{90} +(-1535.07 - 17.6588i) q^{91} +(296.674 - 142.871i) q^{92} +(-1275.92 + 869.910i) q^{93} +(-302.248 + 280.445i) q^{94} +(34.2190 + 456.621i) q^{95} +(-100.330 - 255.637i) q^{96} +1535.55 q^{97} +(-680.510 + 86.6114i) q^{98} -1329.46 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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