LMFDB - Embedded newform 197.4.e.a.33.18

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [197,4,Mod(6,197)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(197, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([13]))

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

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

chi := DirichletCharacter("197.6");

S:= CuspForms(chi, 4);

N := Newforms(S);

Level:	$ N $	$=$	$ 197 $
Weight:	$ k $	$=$	$ 4 $
Character orbit:	$[\chi]$	$=$	197.e (of order $14$, degree $6$, 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:	$11.6233762711$
Analytic rank:	$0$
Dimension:	$288$
Relative dimension:	$48$ over $\Q(\zeta_{14})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label			33.18
Character	$\chi$	$=$	197.33
Dual form			197.4.e.a.6.18

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.77835 - 0.405896i) q^{2} +(3.55906 - 0.812332i) q^{3} +(-4.20998 - 2.02742i) q^{4} +(-2.71301 - 5.63362i) q^{5} -6.65897 q^{6} +(-6.79789 - 29.7835i) q^{7} +(18.0729 + 14.4126i) q^{8} +(-12.3191 + 5.93258i) q^{9} +O(q^{10})$	\(q+(-1.77835 - 0.405896i) q^{2} +(3.55906 - 0.812332i) q^{3} +(-4.20998 - 2.02742i) q^{4} +(-2.71301 - 5.63362i) q^{5} -6.65897 q^{6} +(-6.79789 - 29.7835i) q^{7} +(18.0729 + 14.4126i) q^{8} +(-12.3191 + 5.93258i) q^{9} +(2.53801 + 11.1197i) q^{10} +(1.46669 + 0.334762i) q^{11} +(-16.6305 - 3.79581i) q^{12} +(4.27585 - 3.40988i) q^{13} +55.7247i q^{14} +(-14.2321 - 17.8465i) q^{15} +(-2.98266 - 3.74013i) q^{16} +(49.8853 + 103.588i) q^{17} +(24.3157 - 5.54991i) q^{18} -149.144 q^{19} +29.2178i q^{20} +(-48.3882 - 100.479i) q^{21} +(-2.47240 - 1.19065i) q^{22} +(-5.84219 + 25.5963i) q^{23} +(76.0303 + 36.6143i) q^{24} +(53.5590 - 67.1608i) q^{25} +(-8.98801 + 4.32840i) q^{26} +(-116.087 + 92.5765i) q^{27} +(-31.7647 + 139.170i) q^{28} +(3.12361 - 13.6854i) q^{29} +(18.0658 + 37.5141i) q^{30} +(-90.6296 - 20.6856i) q^{31} +(-76.4515 - 158.753i) q^{32} +5.49197 q^{33} +(-46.6675 - 204.464i) q^{34} +(-149.346 + 119.100i) q^{35} +63.8912 q^{36} +(28.4364 - 35.6581i) q^{37} +(265.230 + 60.5369i) q^{38} +(12.4481 - 15.6094i) q^{39} +(32.1635 - 140.917i) q^{40} +(-153.112 + 73.7348i) q^{41} +(45.2670 + 198.328i) q^{42} +(-123.951 + 543.067i) q^{43} +(-5.49603 - 4.38294i) q^{44} +(66.8438 + 53.3062i) q^{45} +(20.7789 - 43.1478i) q^{46} +(-36.0545 + 45.2109i) q^{47} +(-13.6537 - 10.8885i) q^{48} +(-531.814 + 256.108i) q^{49} +(-122.507 + 97.6959i) q^{50} +(261.693 + 328.152i) q^{51} +(-24.9145 + 5.68658i) q^{52} +(-519.476 - 250.167i) q^{53} +(244.020 - 117.514i) q^{54} +(-2.09321 - 9.17097i) q^{55} +(306.402 - 636.250i) q^{56} +(-530.812 + 121.154i) q^{57} +(-11.1097 + 23.0696i) q^{58} +(-35.7291 + 156.539i) q^{59} +(23.7346 + 103.988i) q^{60} +(170.408 - 746.605i) q^{61} +(152.775 + 73.5725i) q^{62} +(260.437 + 326.578i) q^{63} +(80.0360 + 350.661i) q^{64} +(-30.8104 - 14.8375i) q^{65} +(-9.76663 - 2.22917i) q^{66} +(-383.617 - 305.925i) q^{67} -537.241i q^{68} +95.8446i q^{69} +(313.932 - 151.182i) q^{70} +(-3.27513 - 6.80087i) q^{71} +(-308.147 - 70.3324i) q^{72} +(378.975 + 302.223i) q^{73} +(-65.0433 + 51.8703i) q^{74} +(136.063 - 282.537i) q^{75} +(627.893 + 302.377i) q^{76} -45.9588i q^{77} +(-28.4728 + 22.7063i) q^{78} +(284.213 - 590.173i) q^{79} +(-12.9785 + 26.9502i) q^{80} +(-107.781 + 135.153i) q^{81} +(302.215 - 68.9786i) q^{82} +548.302 q^{83} +521.119i q^{84} +(448.235 - 562.069i) q^{85} +(440.857 - 915.450i) q^{86} -51.2447i q^{87} +(21.6825 + 27.1890i) q^{88} +(1560.11 - 356.085i) q^{89} +(-97.2348 - 121.929i) q^{90} +(-130.625 - 104.170i) q^{91} +(76.4900 - 95.9154i) q^{92} -339.360 q^{93} +(82.4684 - 65.7664i) q^{94} +(404.628 + 840.220i) q^{95} +(-401.056 - 502.908i) q^{96} +(82.9077 - 39.9262i) q^{97} +(1049.70 - 239.588i) q^{98} +(-20.0543 + 4.57727i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 288 q - 7 q^{2} - 7 q^{3} + 159 q^{4} - 7 q^{5} + 26 q^{6} - 53 q^{7} + 49 q^{8} + 391 q^{9}+O(q^{10}) $ 288 * q - 7 * q^2 - 7 * q^3 + 159 * q^4 - 7 * q^5 + 26 * q^6 - 53 * q^7 + 49 * q^8 + 391 * q^9	\( 288 q - 7 q^{2} - 7 q^{3} + 159 q^{4} - 7 q^{5} + 26 q^{6} - 53 q^{7} + 49 q^{8} + 391 q^{9} + 149 q^{10} + 91 q^{11} - 63 q^{12} - 7 q^{13} - 473 q^{15} - 1113 q^{16} - 7 q^{17} - 196 q^{18} + 464 q^{19} - 7 q^{21} + 807 q^{22} + 413 q^{23} - 1425 q^{24} + 1195 q^{25} - 543 q^{26} + 455 q^{27} + 174 q^{28} - 906 q^{29} + 798 q^{30} + 917 q^{31} + 945 q^{32} + 894 q^{33} - 219 q^{34} - 7 q^{35} + 3250 q^{36} + 1734 q^{37} - 63 q^{38} - 825 q^{39} + 141 q^{40} + 563 q^{41} + 432 q^{42} - 423 q^{43} + 2149 q^{44} - 3808 q^{45} - 2569 q^{46} - 289 q^{47} - 3703 q^{48} - 3747 q^{49} - 4963 q^{50} - 87 q^{51} + 3654 q^{52} - 1573 q^{53} - 1228 q^{54} + 2825 q^{55} + 98 q^{56} - 518 q^{57} - 5103 q^{58} + 2045 q^{59} + 3375 q^{60} + 287 q^{61} - 2547 q^{62} + 1453 q^{63} + 6475 q^{64} + 1268 q^{65} + 4634 q^{66} - 3577 q^{67} - 814 q^{70} - 273 q^{71} - 1008 q^{72} - 679 q^{73} - 315 q^{74} - 1281 q^{75} + 6078 q^{76} + 4739 q^{78} + 1463 q^{79} + 441 q^{80} - 4427 q^{81} - 7 q^{82} + 4900 q^{83} - 3351 q^{85} + 3472 q^{86} + 3738 q^{88} + 147 q^{89} + 7133 q^{90} - 14133 q^{91} - 803 q^{92} - 4894 q^{93} - 7833 q^{94} - 7700 q^{95} - 16450 q^{96} + 1233 q^{97} - 2030 q^{98} + 2464 q^{99}+O(q^{100}) \) 288 * q - 7 * q^2 - 7 * q^3 + 159 * q^4 - 7 * q^5 + 26 * q^6 - 53 * q^7 + 49 * q^8 + 391 * q^9 + 149 * q^10 + 91 * q^11 - 63 * q^12 - 7 * q^13 - 473 * q^15 - 1113 * q^16 - 7 * q^17 - 196 * q^18 + 464 * q^19 - 7 * q^21 + 807 * q^22 + 413 * q^23 - 1425 * q^24 + 1195 * q^25 - 543 * q^26 + 455 * q^27 + 174 * q^28 - 906 * q^29 + 798 * q^30 + 917 * q^31 + 945 * q^32 + 894 * q^33 - 219 * q^34 - 7 * q^35 + 3250 * q^36 + 1734 * q^37 - 63 * q^38 - 825 * q^39 + 141 * q^40 + 563 * q^41 + 432 * q^42 - 423 * q^43 + 2149 * q^44 - 3808 * q^45 - 2569 * q^46 - 289 * q^47 - 3703 * q^48 - 3747 * q^49 - 4963 * q^50 - 87 * q^51 + 3654 * q^52 - 1573 * q^53 - 1228 * q^54 + 2825 * q^55 + 98 * q^56 - 518 * q^57 - 5103 * q^58 + 2045 * q^59 + 3375 * q^60 + 287 * q^61 - 2547 * q^62 + 1453 * q^63 + 6475 * q^64 + 1268 * q^65 + 4634 * q^66 - 3577 * q^67 - 814 * q^70 - 273 * q^71 - 1008 * q^72 - 679 * q^73 - 315 * q^74 - 1281 * q^75 + 6078 * q^76 + 4739 * q^78 + 1463 * q^79 + 441 * q^80 - 4427 * q^81 - 7 * q^82 + 4900 * q^83 - 3351 * q^85 + 3472 * q^86 + 3738 * q^88 + 147 * q^89 + 7133 * q^90 - 14133 * q^91 - 803 * q^92 - 4894 * q^93 - 7833 * q^94 - 7700 * q^95 - 16450 * q^96 + 1233 * q^97 - 2030 * q^98 + 2464 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/197\mathbb{Z}\right)^\times$.

$n$	$2$
$\chi(n)$	$e\left(\frac{1}{14}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−1.77835	−	0.405896i	−0.628741	−	0.143506i	−0.103736	−	0.994605i	$-0.533080\pi$
$2$	−1.77835	−	0.405896i	−0.628741	−	0.143506i	−0.525005	+	0.851099i	$0.675937\pi$
$3$	3.55906	−	0.812332i	0.684941	−	0.156333i	0.134131	−	0.990964i	$-0.457176\pi$
$3$	3.55906	−	0.812332i	0.684941	−	0.156333i	0.550811	+	0.834630i	$0.314319\pi$
$4$	−4.20998	−	2.02742i	−0.526248	−	0.253428i
$5$	−2.71301	−	5.63362i	−0.242659	−	0.503886i	0.743696	−	0.668518i	$-0.233071\pi$
$5$	−2.71301	−	5.63362i	−0.242659	−	0.503886i	−0.986355	+	0.164631i	$0.947357\pi$
$6$	−6.65897			−0.453085
$7$	−6.79789	−	29.7835i	−0.367052	−	1.60816i	−0.734834	−	0.678247i	$-0.762740\pi$
$7$	−6.79789	−	29.7835i	−0.367052	−	1.60816i	0.367782	−	0.929912i	$-0.380117\pi$
$8$	18.0729	+	14.4126i	0.798716	+	0.636955i
$9$	−12.3191	+	5.93258i	−0.456264	+	0.219725i
$10$	2.53801	+	11.1197i	0.0802588	+	0.351637i
$11$	1.46669	+	0.334762i	0.0402021	+	0.00917587i	0.242575	−	0.970133i	$-0.422008\pi$
$11$	1.46669	+	0.334762i	0.0402021	+	0.00917587i	−0.202373	+	0.979309i	$0.564865\pi$
$12$	−16.6305	−	3.79581i	−0.400068	−	0.0913129i
$13$	4.27585	−	3.40988i	0.0912237	−	0.0727485i	−0.576816	−	0.816874i	$-0.695705\pi$
$13$	4.27585	−	3.40988i	0.0912237	−	0.0727485i	0.668040	+	0.744126i	$0.267134\pi$
$14$			55.7247i			1.06379i
$15$	−14.2321	−	17.8465i	−0.244981	−	0.307197i
$16$	−2.98266	−	3.74013i	−0.0466040	−	0.0584396i
$17$	49.8853	+	103.588i	0.711704	+	1.47787i	0.871334	+	0.490691i	$0.163256\pi$
$17$	49.8853	+	103.588i	0.711704	+	1.47787i	−0.159630	+	0.987177i	$0.551030\pi$
$18$	24.3157	−	5.54991i	0.318404	−	0.0726736i
$19$	−149.144			−1.80084			−0.900420	−	0.435022i	$-0.856740\pi$
$19$	−149.144			−1.80084			−0.900420	+	0.435022i	$0.856740\pi$
$20$			29.2178i			0.326665i
$21$	−48.3882	−	100.479i	−0.502818	−	1.04411i
$22$	−2.47240	−	1.19065i	−0.0239599	−	0.0115385i
$23$	−5.84219	+	25.5963i	−0.0529644	+	0.232052i	−0.994481	−	0.104913i	$-0.966543\pi$
$23$	−5.84219	+	25.5963i	−0.0529644	+	0.232052i	0.941517	+	0.336966i	$0.109401\pi$
$24$	76.0303	+	36.6143i	0.646651	+	0.311411i
$25$	53.5590	−	67.1608i	0.428472	−	0.537287i
$26$	−8.98801	+	4.32840i	−0.0677959	+	0.0326488i
$27$	−116.087	+	92.5765i	−0.827444	+	0.659865i
$28$	−31.7647	+	139.170i	−0.214392	+	0.939311i
$29$	3.12361	−	13.6854i	0.0200014	−	0.0876318i	−0.963942	−	0.266112i	$-0.914261\pi$
$29$	3.12361	−	13.6854i	0.0200014	−	0.0876318i	0.983944	+	0.178480i	$0.0571180\pi$
$30$	18.0658	+	37.5141i	0.109945	+	0.228303i
$31$	−90.6296	−	20.6856i	−0.525083	−	0.119847i	−0.0482407	−	0.998836i	$-0.515361\pi$
$31$	−90.6296	−	20.6856i	−0.525083	−	0.119847i	−0.476842	+	0.878989i	$0.658219\pi$
$32$	−76.4515	−	158.753i	−0.422339	−	0.876995i
$33$	5.49197			0.0289706
$34$	−46.6675	−	204.464i	−0.235394	−	1.03133i
$35$	−149.346	+	119.100i	−0.721261	+	0.575186i
$36$	63.8912			0.295792
$37$	28.4364	−	35.6581i	0.126349	−	0.158437i	−0.714633	−	0.699499i	$-0.753406\pi$
$37$	28.4364	−	35.6581i	0.126349	−	0.158437i	0.840982	+	0.541063i	$0.181978\pi$
$38$	265.230	+	60.5369i	1.13226	+	0.258431i
$39$	12.4481	−	15.6094i	0.0511099	−	0.0640898i
$40$	32.1635	−	140.917i	0.127137	−	0.557025i
$41$	−153.112	+	73.7348i	−0.583221	+	0.280864i	−0.702139	−	0.712040i	$-0.747772\pi$
$41$	−153.112	+	73.7348i	−0.583221	+	0.280864i	0.118918	+	0.992904i	$0.462057\pi$
$42$	45.2670	+	198.328i	0.166306	+	0.728633i
$43$	−123.951	+	543.067i	−0.439591	+	1.92597i	−0.0676746	+	0.997707i	$0.521558\pi$
$43$	−123.951	+	543.067i	−0.439591	+	1.92597i	−0.371916	+	0.928266i	$0.621299\pi$
$44$	−5.49603	−	4.38294i	−0.0188308	−	0.0150171i
$45$	66.8438	+	53.3062i	0.221433	+	0.176587i
$46$	20.7789	−	43.1478i	0.0666017	−	0.138300i
$47$	−36.0545	+	45.2109i	−0.111896	+	0.140313i	−0.834625	−	0.550818i	$-0.814316\pi$
$47$	−36.0545	+	45.2109i	−0.111896	+	0.140313i	0.722730	+	0.691131i	$0.242887\pi$
$48$	−13.6537	−	10.8885i	−0.0410571	−	0.0327419i
$49$	−531.814	+	256.108i	−1.55048	+	0.746671i
$50$	−122.507	+	97.6959i	−0.346502	+	0.276326i
$51$	261.693	+	328.152i	0.718515	+	0.900990i
$52$	−24.9145	+	5.68658i	−0.0664427	+	0.0151651i
$53$	−519.476	−	250.167i	−1.34633	−	0.648359i	−0.384786	−	0.923006i	$-0.625725\pi$
$53$	−519.476	−	250.167i	−1.34633	−	0.648359i	−0.961545	+	0.274647i	$0.911439\pi$
$54$	244.020	−	117.514i	0.614943	−	0.296141i
$55$	−2.09321	−	9.17097i	−0.00513180	−	0.0224839i
$56$	306.402	−	636.250i	0.731154	−	1.51826i
$57$	−530.812	+	121.154i	−1.23347	+	0.281531i
$58$	−11.1097	+	23.0696i	−0.0251514	+	0.0522274i
$59$	−35.7291	+	156.539i	−0.0788395	+	0.345418i	−0.998928	−	0.0462922i	$-0.985259\pi$
$59$	−35.7291	+	156.539i	−0.0788395	+	0.345418i	0.920088	+	0.391711i	$0.128117\pi$
$60$	23.7346	+	103.988i	0.0510687	+	0.223747i
$61$	170.408	−	746.605i	0.357680	−	1.56710i	−0.401277	−	0.915957i	$-0.631434\pi$
$61$	170.408	−	746.605i	0.357680	−	1.56710i	0.758957	−	0.651141i	$-0.225709\pi$
$62$	152.775	+	73.5725i	0.312942	+	0.150705i
$63$	260.437	+	326.578i	0.520826	+	0.653095i
$64$	80.0360	+	350.661i	0.156320	+	0.684884i
$65$	−30.8104	−	14.8375i	−0.0587932	−	0.0283133i
$66$	−9.76663	−	2.22917i	−0.0182150	−	0.00415745i
$67$	−383.617	−	305.925i	−0.699497	−	0.557830i	0.207877	−	0.978155i	$-0.433345\pi$
$67$	−383.617	−	305.925i	−0.699497	−	0.557830i	−0.907374	+	0.420325i	$0.861916\pi$
$68$		−	537.241i		−	0.958090i
$69$			95.8446i			0.167222i
$70$	313.932	−	151.182i	0.536029	−	0.258138i
$71$	−3.27513	−	6.80087i	−0.00547445	−	0.0113678i	0.898214	−	0.439559i	$-0.144865\pi$
$71$	−3.27513	−	6.80087i	−0.00547445	−	0.0113678i	−0.903688	+	0.428191i	$0.859151\pi$
$72$	−308.147	−	70.3324i	−0.504381	−	0.115122i
$73$	378.975	+	302.223i	0.607613	+	0.484555i	0.878298	−	0.478113i	$-0.158679\pi$
$73$	378.975	+	302.223i	0.607613	+	0.484555i	−0.270686	+	0.962668i	$0.587250\pi$
$74$	−65.0433	+	51.8703i	−0.102177	+	0.0814838i
$75$	136.063	−	282.537i	0.209482	−	0.434994i
$76$	627.893	+	302.377i	0.947688	+	0.456382i
$77$		−	45.9588i		−	0.0680194i
$78$	−28.4728	+	22.7063i	−0.0413321	+	0.0329613i
$79$	284.213	−	590.173i	0.404765	−	0.840503i	−0.594570	−	0.804044i	$-0.702678\pi$
$79$	284.213	−	590.173i	0.404765	−	0.840503i	0.999335	−	0.0364591i	$-0.0116079\pi$
$80$	−12.9785	+	26.9502i	−0.0181380	+	0.0376640i
$81$	−107.781	+	135.153i	−0.147847	+	0.185395i
$82$	302.215	−	68.9786i	0.407001	−	0.0928952i
$83$	548.302			0.725108			0.362554	−	0.931963i	$-0.381905\pi$
$83$	548.302			0.725108			0.362554	+	0.931963i	$0.381905\pi$
$84$			521.119i			0.676889i
$85$	448.235	−	562.069i	0.571976	−	0.717235i
$86$	440.857	−	915.450i	0.552778	−	1.14785i
$87$		−	51.2447i		−	0.0631495i
$88$	21.6825	+	27.1890i	0.0262655	+	0.0329358i
$89$	1560.11	−	356.085i	1.85811	−	0.424101i	0.861599	−	0.507590i	$-0.169463\pi$
$89$	1560.11	−	356.085i	1.85811	−	0.424101i	0.996509	+	0.0834889i	$0.0266063\pi$
$90$	−97.2348	−	121.929i	−0.113883	−	0.142804i
$91$	−130.625	−	104.170i	−0.150475	−	0.120000i
$92$	76.4900	−	95.9154i	0.0866808	−	0.108694i
$93$	−339.360			−0.378387
$94$	82.4684	−	65.7664i	0.0904890	−	0.0721626i
$95$	404.628	+	840.220i	0.436989	+	0.907418i
$96$	−401.056	−	502.908i	−0.426381	−	0.534665i
$97$	82.9077	−	39.9262i	0.0867835	−	0.0417927i	−0.389989	−	0.920820i	$-0.627521\pi$
$97$	82.9077	−	39.9262i	0.0867835	−	0.0417927i	0.476772	+	0.879027i	$0.341807\pi$
$98$	1049.70	−	239.588i	1.08200	−	0.246960i
$99$	−20.0543	+	4.57727i	−0.0203590	+	0.00464680i
$100$	−361.646	+	174.159i	−0.361646	+	0.174159i
$101$	−819.672	−	1027.84i	−0.807529	−	1.01261i	−0.999513	−	0.0312111i	$-0.990064\pi$
$101$	−819.672	−	1027.84i	−0.807529	−	1.01261i	0.191984	−	0.981398i	$-0.438508\pi$
$102$	−332.185	−	689.789i	−0.322463	−	0.669600i
$103$	−252.290	+	201.194i	−0.241348	+	0.192469i	−0.736692	−	0.676228i	$-0.763613\pi$
$103$	−252.290	+	201.194i	−0.241348	+	0.192469i	0.495344	+	0.868697i	$0.335042\pi$
$104$	126.422			0.119199
$105$	−434.784	+	545.202i	−0.404100	+	0.506726i
$106$	822.268	+	655.737i	0.753450	+	0.600857i
$107$	−1144.70	−	1435.41i	−1.03423	−	1.29689i	−0.953902	−	0.300117i	$-0.902974\pi$
$107$	−1144.70	−	1435.41i	−1.03423	−	1.29689i	−0.0803293	−	0.996768i	$-0.525597\pi$
$108$	676.416	−	154.388i	0.602668	−	0.137555i
$109$	2.87545	+	3.60570i	0.00252677	+	0.00316847i	0.783093	−	0.621904i	$-0.213641\pi$
$109$	2.87545	+	3.60570i	0.00252677	+	0.00316847i	−0.780566	+	0.625073i	$0.785069\pi$
$110$			17.1588i			0.0148730i
$111$	72.2406	−	150.009i	0.0617727	−	0.128272i
$112$	−91.1185	+	114.259i	−0.0768740	+	0.0963970i
$113$			95.9501i			0.0798781i	0.999202	+	0.0399391i	$0.0127164\pi$
$113$			95.9501i			0.0798781i	−0.999202	+	0.0399391i	$0.987284\pi$
$114$	993.144			0.815934
$115$	160.050	−	36.5303i	0.129780	−	0.0296215i
$116$	−40.8965	+	51.2826i	−0.0327340	+	0.0410471i
$117$	−32.4454	+	67.3736i	−0.0256374	+	0.0532367i
$118$	127.078	−	263.879i	0.0991393	−	0.205865i
$119$	2746.10	−	2189.94i	2.11541	−	1.68699i
$120$		−	527.661i		−	0.401405i
$121$	−1197.15	−	576.517i	−0.899437	−	0.433146i
$122$	−606.088	+	1258.56i	−0.449776	+	0.933969i
$123$	−485.037	+	386.804i	−0.355564	+	0.283553i
$124$	339.611	+	270.830i	0.245951	+	0.196139i
$125$	−1285.67	−	293.447i	−0.919953	−	0.209973i
$126$	−330.591	−	686.480i	−0.233741	−	0.485369i
$127$	−198.387	+	95.5383i	−0.138614	+	0.0667532i	−0.501905	−	0.864923i	$-0.667367\pi$
$127$	−198.387	+	95.5383i	−0.138614	+	0.0667532i	0.363291	+	0.931676i	$0.381653\pi$
$128$			753.538i			0.520344i
$129$			2033.50i			1.38790i
$130$	48.7691	+	38.8921i	0.0329026	+	0.0262389i
$131$	−2144.57	−	489.483i	−1.43032	−	0.326461i	−0.563926	−	0.825826i	$-0.690710\pi$
$131$	−2144.57	−	489.483i	−1.43032	−	0.326461i	−0.866392	+	0.499365i	$0.833567\pi$
$132$	−23.1211	−	11.1345i	−0.0152457	−	0.00734194i
$133$	1013.86	+	4442.03i	0.661001	+	2.89604i
$134$	558.031	+	699.749i	0.359751	+	0.451113i
$135$	836.486	+	402.830i	0.533283	+	0.256816i
$136$	−591.404	+	2591.11i	−0.372886	+	1.63372i
$137$	−435.631	−	1908.62i	−0.271668	−	1.19025i	−0.908044	−	0.418875i	$-0.862425\pi$
$137$	−435.631	−	1908.62i	−0.271668	−	1.19025i	0.636376	−	0.771379i	$-0.280433\pi$
$138$	38.9030	−	170.445i	0.0239974	−	0.105139i
$139$	−549.477	+	1141.00i	−0.335295	+	0.696247i	−0.998644	−	0.0520630i	$-0.983420\pi$
$139$	−549.477	+	1141.00i	−0.335295	+	0.696247i	0.663349	+	0.748310i	$0.269135\pi$
$140$	870.210	−	198.620i	0.525330	−	0.119903i
$141$	−91.5939	+	190.197i	−0.0547064	+	0.113599i
$142$	3.06387	+	13.4237i	0.00181066	+	0.00793303i
$143$	7.41284	−	3.56984i	0.00433492	−	0.00208759i
$144$	58.9324	+	28.3804i	0.0341044	+	0.0164238i
$145$	−85.5729	+	19.5315i	−0.0490100	+	0.0111862i
$146$	−551.279	−	691.282i	−0.312494	−	0.391856i
$147$	−1684.71	+	1343.51i	−0.945257	+	0.753818i
$148$	−192.011	+	92.4675i	−0.106643	+	0.0513566i
$149$	−550.826	−	439.269i	−0.302855	−	0.241519i	0.460256	−	0.887786i	$-0.347758\pi$
$149$	−550.826	−	439.269i	−0.302855	−	0.241519i	−0.763111	+	0.646267i	$0.776329\pi$
$150$	−356.648	+	447.222i	−0.194134	+	0.243437i
$151$	−762.611	+	1583.58i	−0.410996	+	0.853443i	0.588009	+	0.808854i	$0.299912\pi$
$151$	−762.611	+	1583.58i	−0.410996	+	0.853443i	−0.999005	+	0.0445883i	$0.985802\pi$
$152$	−2695.46	−	2149.56i	−1.43836	−	1.14705i
$153$	−1229.09	−	980.164i	−0.649450	−	0.517919i
$154$	−18.6545	+	81.7308i	−0.00976119	+	0.0427666i
$155$	129.344	+	566.693i	0.0670268	+	0.293664i
$156$	−84.0529	+	40.4777i	−0.0431386	+	0.0207744i
$157$	312.786	−	1370.40i	0.159000	−	0.696625i	−0.831084	−	0.556147i	$-0.812279\pi$
$157$	312.786	−	1370.40i	0.159000	−	0.696625i	0.990084	−	0.140478i	$-0.0448638\pi$
$158$	−744.978	+	934.173i	−0.375109	+	0.470372i
$159$	−2052.07	−	468.371i	−1.02352	−	0.233611i
$160$	−686.941	+	861.397i	−0.339422	+	0.425621i
$161$	802.062			0.392617
$162$	246.529	−	196.601i	0.119563	−	0.0953482i
$163$	470.520	+	2061.48i	0.226098	+	0.990600i	0.952788	+	0.303635i	$0.0982003\pi$
$163$	470.520	+	2061.48i	0.226098	+	0.990600i	−0.726690	+	0.686965i	$0.758943\pi$
$164$	794.090			0.378097
$165$	−14.8998	−	30.9397i	−0.00702997	−	0.0145979i
$166$	−975.071	−	222.554i	−0.455905	−	0.104057i
$167$	676.218	+	1404.18i	0.313337	+	0.650652i	0.996852	−	0.0792851i	$-0.0252638\pi$
$167$	676.218	+	1404.18i	0.313337	+	0.650652i	−0.683515	+	0.729937i	$0.739549\pi$
$168$	573.656	−	2513.35i	0.263444	−	1.15422i
$169$	−482.223	+	2112.76i	−0.219492	+	0.961655i
$170$	−1025.26	+	817.618i	−0.462552	+	0.368873i
$171$	1837.32	−	884.808i	0.821659	−	0.395690i
$172$	1622.86	−	2035.00i	0.719428	−	0.902135i
$173$	2727.28	+	1313.39i	1.19856	+	0.577197i	0.923266	−	0.384162i	$-0.125510\pi$
$173$	2727.28	+	1313.39i	1.19856	+	0.577197i	0.275296	+	0.961359i	$0.411224\pi$
$174$	−20.8000	+	91.1309i	−0.00906234	+	0.0397047i
$175$	−2364.37	−	1138.62i	−1.02131	−	0.491839i
$176$	−3.12257	−	6.48409i	−0.00133735	−	0.00277703i
$177$			586.157i			0.248917i
$178$	−2918.96			−1.22913
$179$	−1397.52	+	318.976i	−0.583552	+	0.133192i	−0.504098	−	0.863647i	$-0.668175\pi$
$179$	−1397.52	+	318.976i	−0.583552	+	0.133192i	−0.0794543	+	0.996839i	$0.525318\pi$
$180$	−173.337	−	359.938i	−0.0717766	−	0.149046i
$181$	−1122.88	−	1408.04i	−0.461121	−	0.578227i	0.495851	−	0.868408i	$-0.334856\pi$
$181$	−1122.88	−	1408.04i	−0.461121	−	0.578227i	−0.956972	+	0.290180i	$0.906285\pi$
$182$	190.015	+	238.271i	0.0773891	+	0.0970428i
$183$		−	2795.64i		−	1.12929i
$184$	−474.496	+	378.398i	−0.190110	+	0.151608i
$185$	−278.032	−	63.4591i	−0.110494	−	0.0252195i
$186$	603.500	+	137.745i	0.237907	+	0.0543008i
$187$	38.4889	+	168.631i	0.0150513	+	0.0659439i
$188$	243.450	−	117.240i	0.0944439	−	0.0454818i
$189$	3546.40	+	2828.16i	1.36488	+	1.08846i
$190$	−378.528	−	1658.44i	−0.144533	−	0.633241i
$191$	2436.40			0.922995			0.461497	−	0.887142i	$-0.347312\pi$
$191$	2436.40			0.922995			0.461497	+	0.887142i	$0.347312\pi$
$192$	569.706	+	1183.01i	0.214140	+	0.444667i
$193$	749.780	+	361.075i	0.279639	+	0.134667i	0.568447	−	0.822720i	$-0.307545\pi$
$193$	749.780	+	361.075i	0.279639	+	0.134667i	−0.288808	+	0.957387i	$0.593259\pi$
$194$	−163.645	+	37.3508i	−0.0605618	+	0.0138228i
$195$	−121.709	−	27.7793i	−0.0446962	−	0.0102016i
$196$	2758.17			1.00516
$197$	285.292	−	2750.27i	0.103179	−	0.994663i
$197$	285.292	−	2750.27i	0.103179	−	0.994663i
$198$	37.5215			0.0134674
$199$	−3897.88	−	889.665i	−1.38851	−	0.316918i	−0.538029	−	0.842926i	$-0.680831\pi$
$199$	−3897.88	−	889.665i	−1.38851	−	0.316918i	−0.850480	+	0.526008i	$0.823688\pi$
$200$	1935.93	−	441.864i	0.684455	−	0.156222i
$201$	−1613.83	−	777.179i	−0.566322	−	0.272726i
$202$	1040.47	+	2160.55i	0.362411	+	0.752554i
$203$	−428.835			−0.148267
$204$	−436.419	−	1912.07i	−0.149781	−	0.656235i
$205$	830.787	+	662.531i	0.283047	+	0.225723i
$206$	530.323	−	255.390i	0.179366	−	0.0863781i
$207$	−79.8815	−	349.984i	−0.0268220	−	0.117515i
$208$	−25.5068	−	5.82176i	−0.00850278	−	0.00194070i
$209$	−218.748	−	49.9277i	−0.0723975	−	0.0165243i
$210$	994.492	−	793.081i	0.326793	−	0.260608i
$211$		−	1189.73i		−	0.388172i	−0.980985	−	0.194086i	$-0.937826\pi$
$211$		−	1189.73i		−	0.388172i	0.980985	−	0.194086i	$-0.0621740\pi$
$212$	1679.79	+	2106.39i	0.544192	+	0.682395i
$213$	−17.1809	−	21.5442i	−0.00552685	−	0.00693045i
$214$	1453.05	+	3017.30i	0.464153	+	0.963823i
$215$	3395.71	−	775.049i	1.07714	−	0.245851i
$216$	−3432.30			−1.08120
$217$			2839.89i			0.888406i
$218$	−3.65001	−	7.57932i	−0.00113399	−	0.00235475i
$219$	1594.30	+	767.775i	0.491931	+	0.236902i
$220$	−9.78102	+	42.8535i	−0.00299744	+	0.0131326i
$221$	566.524	+	272.824i	0.172437	+	0.0830412i
$222$	−189.357	+	237.446i	−0.0572469	+	0.0717854i
$223$	−21.0561	+	10.1401i	−0.00632296	+	0.00304498i	−0.437043	−	0.899441i	$-0.643974\pi$
$223$	−21.0561	+	10.1401i	−0.00632296	+	0.00304498i	0.430720	+	0.902486i	$0.358260\pi$
$224$	−4208.52	+	3356.18i	−1.25533	+	1.00109i
$225$	−261.363	+	1145.11i	−0.0774409	+	0.339291i
$226$	38.9458	−	170.633i	0.0114630	−	0.0502226i
$227$	1358.46	+	2820.87i	0.397199	+	0.824791i	0.999645	+	0.0266323i	$0.00847832\pi$
$227$	1358.46	+	2820.87i	0.397199	+	0.824791i	−0.602447	+	0.798159i	$0.705807\pi$
$228$	2480.34	+	566.121i	0.720458	+	0.164440i
$229$	−2764.04	−	5739.58i	−0.797610	−	1.65625i	−0.753700	−	0.657218i	$-0.771733\pi$
$229$	−2764.04	−	5739.58i	−0.797610	−	1.65625i	−0.0439097	−	0.999036i	$-0.513981\pi$
$230$	−299.452			−0.0858489
$231$	−37.3338	−	163.570i	−0.0106337	−	0.0465893i
$232$	253.696	−	202.316i	0.0717930	−	0.0572530i
$233$	−4696.79			−1.32059			−0.660293	−	0.751008i	$-0.729568\pi$
$233$	−4696.79			−1.32059			−0.660293	+	0.751008i	$0.729568\pi$
$234$	85.0460	−	106.644i	0.0237591	−	0.0297930i
$235$	352.517	+	80.4598i	0.0978540	+	0.0223345i
$236$	467.790	−	586.590i	0.129028	−	0.161796i
$237$	532.113	−	2331.34i	0.145841	−	0.638973i
$238$	−5772.40	+	2779.84i	−1.57214	+	0.757103i
$239$	−1063.42	−	4659.13i	−0.287810	−	1.26098i	−0.887523	−	0.460764i	$-0.847576\pi$
$239$	−1063.42	−	4659.13i	−0.287810	−	1.26098i	0.599713	−	0.800215i	$-0.295282\pi$
$240$	−24.2988	+	106.460i	−0.00653534	+	0.0286332i
$241$	−3220.91	−	2568.59i	−0.860902	−	0.686546i	0.0900328	−	0.995939i	$-0.471303\pi$
$241$	−3220.91	−	2568.59i	−0.860902	−	0.686546i	−0.950934	+	0.309393i	$0.899874\pi$
$242$	1894.94	+	1511.17i	0.503354	+	0.401411i
$243$	1465.63	−	3043.41i	0.386914	−	0.803434i
$244$	−2231.09	+	2797.70i	−0.585374	+	0.734035i
$245$	2885.63	+	2301.21i	0.752475	+	0.600078i
$246$	1019.57	−	490.998i	0.264249	−	0.127256i
$247$	−637.717	+	508.563i	−0.164279	+	0.131008i
$248$	−1339.80	−	1680.06i	−0.343055	−	0.430177i
$249$	1951.44	−	445.403i	0.496656	−	0.113359i
$250$	2167.27	+	1043.70i	0.548280	+	0.264038i
$251$	−403.007	+	194.078i	−0.101345	+	0.0488052i	−0.483869	−	0.875140i	$-0.660769\pi$
$251$	−403.007	+	194.078i	−0.101345	+	0.0488052i	0.382524	+	0.923945i	$0.375055\pi$
$252$	−434.325	−	1902.90i	−0.108571	−	0.475681i
$253$	−17.1373	+	35.5861i	−0.00425856	+	0.00884299i
$254$	391.580	−	89.3757i	0.0967320	−	0.0220785i
$255$	1138.71	−	2364.55i	0.279642	−	0.580683i
$256$	946.146	−	4145.34i	0.230993	−	1.01205i
$257$	−505.071	−	2212.86i	−0.122589	−	0.537099i	−0.998506	−	0.0546373i	$-0.982600\pi$
$257$	−505.071	−	2212.86i	−0.122589	−	0.537099i	0.875917	−	0.482462i	$-0.160257\pi$
$258$	825.389	−	3616.26i	0.199172	−	0.872631i
$259$	−1255.33	−	604.536i	−0.301168	−	0.145035i
$260$	99.6293	+	124.931i	0.0237644	+	0.0297996i
$261$	42.7098	+	187.124i	0.0101290	+	0.0443781i
$262$	3615.10	+	1740.94i	0.852450	+	0.410518i
$263$	−3066.47	−	699.902i	−0.718960	−	0.164098i	−0.152638	−	0.988282i	$-0.548777\pi$
$263$	−3066.47	−	699.902i	−0.718960	−	0.164098i	−0.566322	+	0.824184i	$0.691634\pi$
$264$	99.2557	+	79.1538i	0.0231393	+	0.0184530i
$265$			3605.24i			0.835728i
$266$		−	8311.00i		−	1.91571i
$267$	5263.27	−	2534.66i	1.20639	−	0.580969i
$268$	994.784	+	2065.69i	0.226739	+	0.470829i
$269$	5467.12	+	1247.83i	1.23917	+	0.282832i	0.791389	−	0.611313i	$-0.209358\pi$
$269$	5467.12	+	1247.83i	1.23917	+	0.282832i	0.447778	+	0.894145i	$0.352215\pi$
$270$	−1324.06	−	1055.90i	−0.298442	−	0.238000i
$271$	−3032.81	+	2418.59i	−0.679817	+	0.542136i	−0.901390	−	0.433008i	$-0.857452\pi$
$271$	−3032.81	+	2418.59i	−0.679817	+	0.542136i	0.221573	+	0.975144i	$0.428881\pi$
$272$	238.642	−	495.545i	0.0531977	−	0.110466i
$273$	−549.523	−	264.636i	−0.121827	−	0.0586686i
$274$			3571.02i			0.787347i
$275$	101.037	−	80.5745i	0.0221555	−	0.0176685i
$276$	194.317	−	403.504i	0.0423787	−	0.0880003i
$277$	−967.872	+	2009.81i	−0.209941	+	0.435948i	−0.979174	−	0.203020i	$-0.934924\pi$
$277$	−967.872	+	2009.81i	−0.209941	+	0.435948i	0.769233	+	0.638968i	$0.220638\pi$
$278$	1440.29	−	1806.07i	0.310729	−	0.389642i
$279$	1239.20	−	282.839i	0.265910	−	0.0606922i
$280$	−4415.66			−0.942450
$281$		−	855.546i		−	0.181628i	−0.995868	−	0.0908142i	$-0.971053\pi$
$281$		−	855.546i		−	0.181628i	0.995868	−	0.0908142i	$-0.0289470\pi$
$282$	240.086	−	301.058i	0.0506983	−	0.0635736i
$283$	−4023.17	+	8354.19i	−0.845062	+	1.75479i	−0.217778	+	0.975998i	$0.569881\pi$
$283$	−4023.17	+	8354.19i	−0.845062	+	1.75479i	−0.627284	+	0.778791i	$0.715833\pi$
$284$			35.2716i			0.00736966i
$285$	2122.63	+	2661.70i	0.441172	+	0.553212i
$286$	−14.6316	+	3.33957i	−0.00302512	+	0.000690464i
$287$	3236.92	+	4058.97i	0.665747	+	0.834820i
$288$	1883.63	+	1502.15i	0.385396	+	0.307343i
$289$	−5178.70	+	6493.88i	−1.05408	+	1.32178i
$290$	160.106			0.0324199
$291$	262.640	−	209.448i	0.0529080	−	0.0421927i
$292$	−982.747	−	2040.70i	−0.196955	−	0.408982i
$293$	3318.57	+	4161.35i	0.661682	+	0.829722i	0.993525	−	0.113612i	$-0.0362421\pi$
$293$	3318.57	+	4161.35i	0.661682	+	0.829722i	−0.331844	+	0.943334i	$0.607671\pi$
$294$	3541.33	−	1705.42i	0.702499	−	0.338306i
$295$	978.816	−	223.408i	0.193183	−	0.0440927i
$296$	1027.86	−	234.601i	0.201834	−	0.0460673i
$297$	−201.255	+	96.9192i	−0.0393198	+	0.0189354i
$298$	801.262	+	1004.75i	0.155758	+	0.195314i
$299$	62.3000	+	129.367i	0.0120498	+	0.0250217i
$300$	−1145.64	+	913.620i	−0.220479	+	0.175826i
$301$	17017.0			3.25862
$302$	1998.96	−	2506.61i	0.380884	−	0.477614i
$303$	−3752.21	−	2992.28i	−0.711415	−	0.567334i
$304$	444.845	+	557.818i	0.0839263	+	0.105240i
$305$	−4668.40	+	1065.53i	−0.876433	+	0.200040i
$306$	1787.90	+	2241.96i	0.334011	+	0.418837i
$307$		−	6373.49i		−	1.18487i	−0.805619	−	0.592433i	$-0.798167\pi$
$307$		−	6373.49i		−	1.18487i	0.805619	−	0.592433i	$-0.201833\pi$
$308$	−93.1778	+	193.486i	−0.0172380	+	0.0357950i
$309$	−734.478	+	921.006i	−0.135220	+	0.169561i
$310$		−	1060.28i		−	0.194257i
$311$	457.326			0.0833844			0.0416922	−	0.999131i	$-0.486725\pi$
$311$	457.326			0.0833844			0.0416922	+	0.999131i	$0.486725\pi$
$312$	449.945	−	102.697i	0.0816446	−	0.0186348i
$313$	4027.94	−	5050.88i	0.727388	−	0.912116i	−0.271342	−	0.962483i	$-0.587468\pi$
$313$	4027.94	−	5050.88i	0.727388	−	0.912116i	0.998731	+	0.0503667i	$0.0160390\pi$
$314$	−1112.48	+	2310.10i	−0.199940	+	0.415179i
$315$	1133.25	−	2353.21i	0.202702	−	0.420916i
$316$	−2393.06	+	1908.40i	−0.426013	+	0.339734i
$317$		−	4778.63i		−	0.846670i	−0.905973	−	0.423335i	$-0.860859\pi$
$317$		−	4778.63i		−	0.846670i	0.905973	−	0.423335i	$-0.139141\pi$
$318$	3459.18	+	1665.85i	0.610003	+	0.293762i
$319$	9.16273	−	19.0266i	0.00160820	−	0.00333945i
$320$	1758.35	−	1402.24i	0.307171	−	0.244961i
$321$	−5240.11	−	4178.85i	−0.911135	−	0.726606i
$322$	−1426.35	−	325.554i	−0.246855	−	0.0563429i
$323$	−7440.08	−	15449.5i	−1.28166	−	2.66140i
$324$	727.766	−	350.473i	0.124788	−	0.0600949i
$325$		−	469.800i		−	0.0801840i
$326$		−	3857.02i		−	0.655277i
$327$	13.1629	+	10.4971i	0.00222603	+	0.00177520i
$328$	−3829.89	−	874.147i	−0.644726	−	0.147154i
$329$	1591.64	+	766.491i	0.266716	+	0.128444i
$330$	13.9387	+	61.0692i	0.00232514	+	0.0101871i
$331$	5443.98	+	6826.53i	0.904012	+	1.13360i	0.990523	+	0.137345i	$0.0438568\pi$
$331$	5443.98	+	6826.53i	0.904012	+	1.13360i	−0.0865110	+	0.996251i	$0.527572\pi$
$332$	−2308.34	−	1111.64i	−0.381586	−	0.183762i
$333$	−138.767	+	607.978i	−0.0228360	+	0.100051i
$334$	−632.599	−	2771.60i	−0.103636	−	0.454057i
$335$	−682.706	+	2991.13i	−0.111344	+	0.487829i
$336$	−231.480	+	480.673i	−0.0375841	+	0.0780443i
$337$	6381.70	−	1456.58i	1.03155	−	0.235445i	0.326946	−	0.945043i	$-0.393981\pi$
$337$	6381.70	−	1456.58i	1.03155	−	0.235445i	0.704607	+	0.709598i	$0.251123\pi$
$338$	1715.12	−	3561.48i	0.276007	−	0.573134i
$339$	77.9434	+	341.492i	0.0124876	+	0.0547118i
$340$	−3026.61	+	1457.54i	−0.482768	+	0.232489i
$341$	−126.001	−	60.6787i	−0.0200097	−	0.00963618i
$342$	−3626.54	+	827.734i	−0.573394	+	0.130874i
$343$	4709.81	+	5905.91i	0.741416	+	0.929706i
$344$	−10067.2	+	8028.31i	−1.57787	+	1.25831i
$345$	539.952	−	260.027i	0.0842609	−	0.0405779i
$346$	−4316.95	−	3442.65i	−0.670754	−	0.534908i
$347$	4233.98	−	5309.24i	0.655020	−	0.821369i	−0.337771	−	0.941228i	$-0.609673\pi$
$347$	4233.98	−	5309.24i	0.655020	−	0.821369i	0.992791	+	0.119860i	$0.0382445\pi$
$348$	−103.895	+	215.739i	−0.0160038	+	0.0332323i
$349$	−1541.65	−	1229.43i	−0.236455	−	0.188567i	0.498092	−	0.867124i	$-0.334034\pi$
$349$	−1541.65	−	1229.43i	−0.236455	−	0.188567i	−0.734547	+	0.678557i	$0.762606\pi$
$350$	3742.52	+	2984.56i	0.571560	+	0.455804i
$351$	−180.697	+	791.687i	−0.0274784	+	0.120391i
$352$	−58.9859	−	258.434i	−0.00893171	−	0.0391324i
$353$	1833.30	−	882.872i	0.276422	−	0.133118i	−0.290537	−	0.956864i	$-0.593834\pi$
$353$	1833.30	−	882.872i	0.276422	−	0.133118i	0.566959	+	0.823746i	$0.308120\pi$
$354$	237.919	−	1042.39i	0.0357210	−	0.156504i
$355$	−29.4281	+	36.9016i	−0.00439966	+	0.00551700i
$356$	−7289.98	−	1663.89i	−1.08530	−	0.247713i
$357$	7994.56	−	10024.9i	1.18520	−	1.48620i
$358$	2614.76			0.386017
$359$	−3722.25	+	2968.39i	−0.547222	+	0.436395i	−0.857674	−	0.514194i	$-0.828091\pi$
$359$	−3722.25	+	2968.39i	−0.547222	+	0.436395i	0.310452	+	0.950589i	$0.399520\pi$
$360$	439.778	+	1926.79i	0.0643842	+	0.282086i
$361$	15384.9			2.24302
$362$	1425.35	+	2959.77i	0.206947	+	0.429729i
$363$	−4729.05	−	1079.38i	−0.683777	−	0.156068i
$364$	338.733	+	703.385i	0.0487759	+	0.101284i
$365$	674.445	−	2954.94i	0.0967180	−	0.423749i
$366$	−1134.74	+	4971.62i	−0.162060	+	0.710029i
$367$	−6430.74	+	5128.34i	−0.914664	+	0.729421i	−0.963026	−	0.269409i	$-0.913172\pi$
$367$	−6430.74	+	5128.34i	−0.914664	+	0.729421i	0.0483613	+	0.998830i	$0.484600\pi$
$368$	113.159	−	54.4944i	0.0160294	−	0.00771934i
$369$	1448.77	−	1816.70i	0.204390	−	0.256297i
$370$	468.680	+	225.705i	0.0658528	+	0.0317130i
$371$	−3919.50	+	17172.4i	−0.548491	+	2.40310i
$372$	1428.70	+	688.025i	0.199125	+	0.0958937i
$373$	−2835.66	−	5888.31i	−0.393633	−	0.817387i	−0.999758	−	0.0220172i	$-0.992991\pi$
$373$	−2835.66	−	5888.31i	−0.393633	−	0.817387i	0.606125	−	0.795369i	$-0.292723\pi$
$374$		−	315.507i		−	0.0436216i
$375$	−4814.17			−0.662940
$376$	−1303.22	+	297.451i	−0.178746	+	0.0407975i
$377$	−33.3096	−	69.1681i	−0.00455048	−	0.00944917i
$378$	−5158.80	−	6468.92i	−0.701957	−	0.880226i
$379$	7480.86	+	9380.70i	1.01389	+	1.27138i	0.962092	+	0.272726i	$0.0879253\pi$
$379$	7480.86	+	9380.70i	1.01389	+	1.27138i	0.0518028	+	0.998657i	$0.483503\pi$
$380$		−	4357.66i		−	0.588272i
$381$	−628.464	+	501.183i	−0.0845070	+	0.0673921i
$382$	−4332.77	−	988.927i	−0.580325	−	0.132455i
$383$	−10505.2	−	2397.74i	−1.40154	−	0.319893i	−0.546069	−	0.837740i	$-0.683876\pi$
$383$	−10505.2	−	2397.74i	−1.40154	−	0.319893i	−0.855473	+	0.517847i	$0.826733\pi$
$384$	612.123	+	2681.89i	0.0813471	+	0.356405i
$385$	−258.914	+	124.687i	−0.0342740	+	0.0165055i
$386$	−1186.81	−	946.450i	−0.156495	−	0.124801i
$387$	−1694.81	−	7425.46i	−0.222616	−	0.975342i
$388$	−429.987			−0.0562610
$389$	4813.24	+	9994.79i	0.627354	+	1.30271i	0.936155	+	0.351588i	$0.114358\pi$
$389$	4813.24	+	9994.79i	0.627354	+	1.30271i	−0.308801	+	0.951127i	$0.599928\pi$
$390$	205.165	+	98.8024i	0.0266383	+	0.0128283i
$391$	−2942.91	+	671.699i	−0.380637	+	0.0868780i
$392$	−13302.6	−	3036.23i	−1.71399	−	0.391207i
$393$	−8030.26			−1.03072
$394$	−1623.67	+	4775.14i	−0.207613	+	0.610578i
$395$	−4095.88			−0.521737
$396$	93.7084	+	21.3883i	0.0118915	+	0.00271415i
$397$	8275.27	−	1888.78i	1.04616	−	0.238778i	0.335297	−	0.942113i	$-0.391163\pi$
$397$	8275.27	−	1888.78i	1.04616	−	0.238778i	0.710859	+	0.703334i	$0.248306\pi$
$398$	6570.67	+	3164.27i	0.827533	+	0.398519i
$399$	7216.81	+	14985.9i	0.905494	+	1.88028i
$400$	−410.939			−0.0513673
$401$	−626.310	−	2744.05i	−0.0779961	−	0.341723i	0.920841	−	0.389939i	$-0.127504\pi$
$401$	−626.310	−	2744.05i	−0.0779961	−	0.341723i	−0.998837	+	0.0482153i	$0.984647\pi$
$402$	2554.50	+	2037.14i	0.316932	+	0.252745i
$403$	−458.055	+	220.587i	−0.0566187	+	0.0272661i
$404$	1366.95	+	5988.99i	0.168337	+	0.737533i
$405$	1053.81	+	240.525i	0.129294	+	0.0295106i
$406$	762.617	+	174.062i	0.0932218	+	0.0212773i
$407$	53.6443	−	42.7799i	0.00653329	−	0.00521013i
$408$			9702.33i			1.17730i
$409$	6862.61	+	8605.44i	0.829668	+	1.04037i	0.998501	+	0.0547257i	$0.0174284\pi$
$409$	6862.61	+	8605.44i	0.829668	+	1.04037i	−0.168834	+	0.985645i	$0.554000\pi$
$410$	−1208.51	−	1515.42i	−0.145571	−	0.182540i
$411$	−3100.87	−	6439.03i	−0.372153	−	0.772783i
$412$	1470.04	−	335.527i	0.175786	−	0.0401220i
$413$	4905.18			0.584426
$414$			654.816i			0.0777354i
$415$	−1487.55	−	3088.92i	−0.175954	−	0.365372i
$416$	−868.224	−	418.115i	−0.102327	−	0.0492783i
$417$	−1028.75	+	4507.25i	−0.120811	+	0.529307i
$418$	368.744	+	177.578i	0.0431480	+	0.0207790i
$419$	−2024.65	+	2538.83i	−0.236063	+	0.296014i	−0.885726	−	0.464209i	$-0.846339\pi$
$419$	−2024.65	+	2538.83i	−0.236063	+	0.296014i	0.649663	+	0.760223i	$0.274910\pi$
$420$	2935.78	−	1413.80i	0.341075	−	0.164253i
$421$	−5532.41	+	4411.95i	−0.640459	+	0.510749i	−0.889021	−	0.457867i	$-0.848613\pi$
$421$	−5532.41	+	4411.95i	−0.640459	+	0.510749i	0.248562	+	0.968616i	$0.420042\pi$
$422$	−482.906	+	2115.75i	−0.0557050	+	0.244059i
$423$	175.943	−	770.856i	0.0202237	−	0.0886059i
$424$	−5782.87	−	12008.3i	−0.662361	−	1.37541i
$425$	9628.85	+	2197.72i	1.09898	+	0.250836i
$426$	21.8090	+	45.2868i	0.00248039	+	0.00515059i
$427$	−23394.9			−2.65143
$428$	1909.00	+	8363.87i	0.215596	+	0.944586i
$429$	23.4829	−	18.7270i	0.00264280	−	0.00210757i
$430$	−6353.34			−0.712524
$431$	3202.44	−	4015.73i	0.357903	−	0.448796i	−0.569985	−	0.821655i	$-0.693051\pi$
$431$	3202.44	−	4015.73i	0.357903	−	0.448796i	0.927888	+	0.372859i	$0.121622\pi$
$432$	692.497	+	158.058i	0.0771244	+	0.0176032i
$433$	6457.56	−	8097.52i	0.716698	−	0.898711i	−0.281448	−	0.959577i	$-0.590815\pi$
$433$	6457.56	−	8097.52i	0.716698	−	0.898711i	0.998146	+	0.0608654i	$0.0193861\pi$
$434$	1152.70	−	5050.31i	0.127492	−	0.558577i
$435$	−288.693	+	139.027i	−0.0318202	+	0.0153238i
$436$	−4.79532	−	21.0097i	−0.000526729	−	0.00230775i
$437$	871.327	−	3817.53i	0.0953803	−	0.417889i
$438$	−2523.59	−	2012.49i	−0.275300	−	0.219545i
$439$	−6211.44	−	4953.46i	−0.675298	−	0.538532i	0.224699	−	0.974428i	$-0.427860\pi$
$439$	−6211.44	−	4953.46i	−0.675298	−	0.538532i	−0.899997	+	0.435896i	$0.856432\pi$
$440$	94.3475	−	195.915i	0.0102224	−	0.0212270i
$441$	5032.11	−	6310.06i	0.543366	−	0.681359i
$442$	−896.739	−	715.126i	−0.0965012	−	0.0769572i
$443$	942.268	−	453.773i	0.101058	−	0.0486668i	−0.382672	−	0.923884i	$-0.624996\pi$
$443$	942.268	−	453.773i	0.101058	−	0.0486668i	0.483730	+	0.875217i	$0.339282\pi$
$444$	−608.263	+	485.074i	−0.0650155	+	0.0518482i
$445$	−6238.65	−	7823.01i	−0.664585	−	0.833363i
$446$	41.5609	−	9.48600i	0.00441248	−	0.00100712i
$447$	−2317.25	−	1115.93i	−0.245196	−	0.118080i
$448$	9899.83	−	4767.51i	1.04402	−	0.502776i
$449$	−93.4208	−	409.303i	−0.00981915	−	0.0430205i	0.969781	−	0.243977i	$-0.0784521\pi$
$449$	−93.4208	−	409.303i	−0.00981915	−	0.0430205i	−0.979600	+	0.200957i	$0.935595\pi$
$450$	929.589	−	1930.31i	0.0973806	−	0.202213i
$451$	−249.251	+	56.8899i	−0.0260239	+	0.00593978i
$452$	194.531	−	403.948i	0.0202433	−	0.0420357i
$453$	−1427.79	+	6255.55i	−0.148087	+	0.648811i
$454$	−1270.83	−	5567.88i	−0.131372	−	0.575581i
$455$	−232.467	+	1018.51i	−0.0239522	+	0.104941i
$456$	−11339.5	−	5460.79i	−1.16451	−	0.560801i
$457$	−9884.62	−	12394.9i	−1.01178	−	1.26873i	−0.962881	−	0.269927i	$-0.913000\pi$
$457$	−9884.62	−	12394.9i	−1.01178	−	1.26873i	−0.0488981	−	0.998804i	$-0.515571\pi$
$458$	2585.74	+	11328.9i	0.263808	+	1.15582i
$459$	−15380.8	−	7407.02i	−1.56409	−	0.753225i
$460$	−747.868	−	170.696i	−0.0758034	−	0.0173016i
$461$	14274.5	+	11383.6i	1.44215	+	1.15008i	0.962053	+	0.272861i	$0.0879700\pi$
$461$	14274.5	+	11383.6i	1.44215	+	1.15008i	0.480097	+	0.877215i	$0.340601\pi$
$462$			306.038i			0.0308186i
$463$			756.377i			0.0759219i	0.999279	+	0.0379609i	$0.0120862\pi$
$463$			756.377i			0.0759219i	−0.999279	+	0.0379609i	$0.987914\pi$
$464$	−60.5020	+	29.1362i	−0.00605331	+	0.00291512i
$465$	920.686	+	1911.82i	0.0918189	+	0.190664i
$466$	8352.52	+	1906.41i	0.830307	+	0.189512i
$467$	−988.228	−	788.085i	−0.0979223	−	0.0780904i	0.573305	−	0.819342i	$-0.305661\pi$
$467$	−988.228	−	788.085i	−0.0979223	−	0.0780904i	−0.671227	+	0.741252i	$0.734232\pi$
$468$	273.189	−	217.861i	0.0269833	−	0.0215185i
$469$	−6503.72	+	13505.1i	−0.640328	+	1.32966i
$470$	−594.240	−	286.171i	−0.0583197	−	0.0280853i
$471$		−	5131.44i		−	0.502004i
$472$	−2901.87	+	2314.17i	−0.282986	+	0.225674i
$473$	−363.596	+	755.015i	−0.0353450	+	0.0733946i
$474$	−1892.56	+	3929.95i	−0.183393	+	0.380820i
$475$	−7987.99	+	10016.6i	−0.771609	+	0.967567i
$476$	−16000.9	+	3652.11i	−1.54076	+	0.351668i
$477$	7883.64			0.756744
$478$			8717.19i			0.834132i
$479$	4159.45	−	5215.78i	0.396764	−	0.497526i	−0.542818	−	0.839850i	$-0.682643\pi$
$479$	4159.45	−	5215.78i	0.396764	−	0.497526i	0.939582	+	0.342324i	$0.111214\pi$
$480$	−1745.12	+	3623.79i	−0.165945	+	0.344588i
$481$		−	249.434i		−	0.0236449i
$482$	4685.32	+	5875.21i	0.442761	+	0.555204i
$483$	2854.59	−	651.541i	0.268920	−	0.0613792i
$484$	3871.14	+	4854.25i	0.363555	+	0.455884i
$485$	−449.858	−	358.750i	−0.0421175	−	0.0335876i
$486$	−3841.70	+	4817.34i	−0.358566	+	0.449628i
$487$	13899.8			1.29335			0.646674	−	0.762767i	$-0.276160\pi$
$487$	13899.8			1.29335			0.646674	+	0.762767i	$0.276160\pi$
$488$	13840.3	−	11037.3i	1.28385	−	1.02384i
$489$	3349.22	+	6954.72i	0.309728	+	0.643156i
$490$	−4197.60	−	5263.63i	−0.386997	−	0.485278i
$491$	132.858	−	63.9812i	0.0122114	−	0.00588072i	−0.427768	−	0.903889i	$-0.640700\pi$
$491$	132.858	−	63.9812i	0.0122114	−	0.00588072i	0.439979	+	0.898008i	$0.354986\pi$
$492$	2826.21	−	645.064i	0.258975	−	0.0591093i
$493$	1573.47	−	359.134i	0.143743	−	0.0328085i
$494$	1340.51	−	645.554i	0.122090	−	0.0587953i
$495$	80.1942	+	100.560i	0.00728174	+	0.00913101i
$496$	192.950	+	400.665i	0.0174672	+	0.0362709i
$497$	−180.290	+	143.776i	−0.0162718	+	0.0129764i
$498$	−3651.12			−0.328536
$499$	1368.84	−	1716.47i	0.122801	−	0.153987i	−0.716631	−	0.697453i	$-0.754317\pi$
$499$	1368.84	−	1716.47i	0.122801	−	0.153987i	0.839432	+	0.543465i	$0.182888\pi$
$500$	4817.72	+	3842.01i	0.430910	+	0.343639i
$501$	3547.36	+	4448.25i	0.316336	+	0.396673i
$502$	795.463	−	181.559i	0.0707236	−	0.0161422i
$503$	4857.50	+	6091.11i	0.430587	+	0.539939i	0.949035	−	0.315170i	$-0.102062\pi$
$503$	4857.50	+	6091.11i	0.430587	+	0.539939i	−0.518448	+	0.855109i	$0.673490\pi$
$504$			9655.80i			0.853380i
$505$	−3566.66	+	7406.25i	−0.314286	+	0.652621i
$506$	44.9204	−	56.3284i	0.00394655	−	0.00494882i
$507$			7911.15i			0.692991i
$508$	1028.90			0.0898626
$509$	−12163.6	+	2776.27i	−1.05922	+	0.241760i	−0.716435	−	0.697653i	$-0.754228\pi$
$509$	−12163.6	+	2776.27i	−1.05922	+	0.241760i	−0.342786	+	0.939414i	$0.611370\pi$
$510$	−2984.79	+	3742.80i	−0.259154	+	0.324969i
$511$	6425.02	−	13341.7i	0.556216	−	1.15499i
$512$	−749.570	+	1556.50i	−0.0647005	+	0.134352i
$513$	17313.7	−	13807.2i	1.49009	−	1.18831i
$514$			4140.25i			0.355289i
$515$	1817.92	+	875.463i	0.155548	+	0.0749078i
$516$	4122.75	−	8560.98i	0.351733	−	0.730380i
$517$	−68.0157	+	54.2407i	−0.00578593	+	0.00461412i
$518$	1987.04	+	1584.61i	0.168543	+	0.134409i
$519$	10773.5	+	2458.97i	0.911180	+	0.207971i
$520$	−342.985	−	712.215i	−0.0289248	−	0.0600629i
$521$	−19005.2	+	9152.41i	−1.59814	+	0.769625i	−0.999507	−	0.0313973i	$-0.990004\pi$
$521$	−19005.2	+	9152.41i	−1.59814	+	0.769625i	−0.598635	+	0.801022i	$0.704290\pi$
$522$		−	350.107i		−	0.0293559i
$523$		−	12159.4i		−	1.01662i	−0.861175	−	0.508309i	$-0.830271\pi$
$523$		−	12159.4i		−	1.01662i	0.861175	−	0.508309i	$-0.169729\pi$
$524$	8036.19	+	6408.65i	0.669967	+	0.534281i
$525$	−9339.89	−	2131.77i	−0.776431	−	0.177215i
$526$	5169.16	+	2489.34i	0.428491	+	0.206350i
$527$	−2378.31	−	10420.0i	−0.196586	−	0.861298i
$528$	−16.3807	−	20.5407i	−0.00135015	−	0.00169303i
$529$	10341.0	+	4979.99i	0.849926	+	0.409303i
$530$	1463.35	−	6411.36i	0.119932	−	0.525456i
$531$	−488.531	−	2140.40i	−0.0399255	−	0.174925i
$532$	4737.51	−	20756.4i	0.386085	−	1.69155i
$533$	−403.257	+	837.372i	−0.0327711	+	0.0680499i
$534$	−10388.7	+	2371.16i	−0.841882	+	0.192154i
$535$	−4980.98	+	10343.1i	−0.402517	+	0.835836i
$536$	−2523.89	−	11057.9i	−0.203387	−	0.891096i
$537$	−4714.76	+	2270.51i	−0.378877	+	0.182457i
$538$	−9215.95	−	4438.17i	−0.738527	−	0.355656i
$539$	−865.741	+	197.600i	−0.0691839	+	0.0157908i
$540$	−2704.88	−	3391.82i	−0.215555	−	0.270297i
$541$	13524.1	−	10785.1i	1.07477	−	0.857097i	0.0845184	−	0.996422i	$-0.473065\pi$
$541$	13524.1	−	10785.1i	1.07477	−	0.857097i	0.990247	+	0.139325i	$0.0444934\pi$
$542$	6375.09	−	3070.08i	0.505228	−	0.243305i
$543$	−5140.19	−	4099.17i	−0.406237	−	0.323963i
$544$	12631.1	−	15838.9i	0.995503	−	1.24832i
$545$	12.5120	−	25.9814i	0.000983404	−	0.00204206i
$546$	869.828	+	693.665i	0.0681780	+	0.0543702i
$547$	−7202.12	−	5743.50i	−0.562963	−	0.448948i	0.300198	−	0.953877i	$-0.402947\pi$
$547$	−7202.12	−	5743.50i	−0.562963	−	0.448948i	−0.863161	+	0.504929i	$0.831519\pi$
$548$	−2035.58	+	8918.48i	−0.158679	+	0.695216i
$549$	2330.02	+	10208.5i	0.181134	+	0.793602i
$550$	−212.384	+	102.279i	−0.0164656	+	0.00792943i
$551$	−465.868	+	2041.10i	−0.0360193	+	0.157811i
$552$	−1381.37	+	1732.19i	−0.106513	+	0.133563i
$553$	−19509.5	−	4452.91i	−1.50023	−	0.342418i
$554$	2536.99	−	3181.28i	0.194560	−	0.243970i
$555$	−1041.08			−0.0796244
$556$	4626.57	−	3689.57i	0.352897	−	0.281426i
$557$	4843.51	+	21220.8i	0.368449	+	1.61428i	0.731041	+	0.682334i	$0.239035\pi$
$557$	4843.51	+	21220.8i	0.368449	+	1.61428i	−0.362592	+	0.931948i	$0.618108\pi$
$558$	−2318.53			−0.175898
$559$	1321.79	+	2744.73i	0.100011	+	0.207674i
$560$	890.897	+	203.341i	0.0672273	+	0.0153442i
$561$	273.969	+	568.901i	0.0206185	+	0.0428147i
$562$	−347.263	+	1521.46i	−0.0260648	+	0.114197i
$563$	2921.72	−	12800.9i	0.218714	−	0.958247i	−0.739716	−	0.672919i	$-0.765040\pi$
$563$	2921.72	−	12800.9i	0.218714	−	0.958247i	0.958430	−	0.285328i	$-0.0921025\pi$
$564$	771.217	−	615.025i	0.0575782	−	0.0459171i
$565$	540.546	−	260.313i	0.0402495	−	0.0193831i
$566$	10545.5	−	13223.7i	0.783148	−	0.982036i
$567$	4758.00	+	2291.33i	0.352412	+	0.169712i
$568$	38.8275	−	170.115i	0.00286825	−	0.0125666i
$569$	19815.2	+	9542.52i	1.45993	+	0.703063i	0.984287	−	0.176577i	$-0.0565024\pi$
$569$	19815.2	+	9542.52i	1.45993	+	0.703063i	0.475639	+	0.879640i	$0.342217\pi$
$570$	−2694.41	−	5595.00i	−0.197994	−	0.411138i
$571$		−	9875.06i		−	0.723745i	−0.932228	−	0.361872i	$-0.882138\pi$
$571$		−	9875.06i		−	0.723745i	0.932228	−	0.361872i	$-0.117862\pi$
$572$	−38.4455			−0.00281029
$573$	8671.31	−	1979.17i	0.632197	−	0.144295i
$574$	−4108.85	−	8532.11i	−0.298781	−	0.620424i
$575$	1406.17	+	1763.28i	0.101985	+	0.127885i
$576$	−3066.30	−	3845.01i	−0.221810	−	0.278141i
$577$			5663.40i			0.408614i	0.978907	+	0.204307i	$0.0654941\pi$
$577$			5663.40i			0.408614i	−0.978907	+	0.204307i	$0.934506\pi$
$578$	11845.4	−	9446.37i	0.852427	−	0.679788i
$579$	2961.83	+	676.017i	0.212589	+	0.0485221i
$580$	399.859	+	91.2652i	0.0286263	+	0.00653376i
$581$	−3727.30	−	16330.4i	−0.266152	−	1.16609i
$582$	−552.080	+	265.867i	−0.0393203	+	0.0189357i
$583$	−678.164	−	540.818i	−0.0481761	−	0.0384192i
$584$	2493.35	+	10924.1i	0.176670	+	0.774044i
$585$	467.582			0.0330464
$586$	−4212.49	−	8747.32i	−0.296956	−	0.616636i
$587$	−16438.7	−	7916.48i	−1.15588	−	0.556641i	−0.245083	−	0.969502i	$-0.578815\pi$
$587$	−16438.7	−	7916.48i	−1.15588	−	0.556641i	−0.910794	+	0.412861i	$0.864529\pi$
$588$	9816.48	−	2240.55i	0.688478	−	0.157141i
$589$	13516.9	+	3085.13i	0.945590	+	0.215825i
$590$	−1831.36			−0.127789
$591$	−1218.76	−	10020.1i	−0.0848277	−	0.697416i
$592$	−218.182			−0.0151473
$593$	10834.4	+	2472.88i	0.750278	+	0.171246i	0.580527	−	0.814241i	$-0.302847\pi$
$593$	10834.4	+	2472.88i	0.750278	+	0.171246i	0.169751	+	0.985487i	$0.445704\pi$
$594$	397.240	−	90.6675i	0.0274393	−	0.00626285i
$595$	−19787.5	−	9529.14i	−1.36337	−	0.656566i
$596$	1428.38	+	2966.07i	0.0981693	+	0.203851i
$597$	−14595.5			−1.00059
$598$	−58.2813	−	255.347i	−0.00398545	−	0.0174614i
$599$	−1286.50	−	1025.95i	−0.0877542	−	0.0699816i	0.578630	−	0.815590i	$-0.303588\pi$
$599$	−1286.50	−	1025.95i	−0.0877542	−	0.0699816i	−0.666384	+	0.745608i	$0.732159\pi$
$600$	6531.15	−	3145.24i	0.444389	−	0.214006i
$601$	952.024	+	4171.09i	0.0646154	+	0.283099i	0.996905	−	0.0786137i	$-0.0250494\pi$
$601$	952.024	+	4171.09i	0.0646154	+	0.283099i	−0.932290	+	0.361712i	$0.882192\pi$
$602$	−30262.2	−	6907.15i	−2.04883	−	0.467632i
$603$	6540.76	+	1492.89i	0.441725	+	0.100821i
$604$	6421.16	−	5120.70i	0.432572	−	0.344964i
$605$			8308.38i			0.558320i
$606$	5458.17	+	6844.33i	0.365880	+	0.458799i
$607$	18101.2	+	22698.2i	1.21039	+	1.51778i	0.793198	+	0.608963i	$0.208414\pi$
$607$	18101.2	+	22698.2i	1.21039	+	1.51778i	0.417192	+	0.908818i	$0.363014\pi$
$608$	11402.3	+	23677.0i	0.760564	+	1.57933i
$609$	−1526.25	+	348.356i	−0.101554	+	0.0231792i
$610$	8734.54			0.579756
$611$			316.257i			0.0209401i
$612$	3187.23	+	6618.35i	0.210517	+	0.437142i
$613$	−10412.9	−	5014.59i	−0.686091	−	0.330404i	0.0581572	−	0.998307i	$-0.481478\pi$
$613$	−10412.9	−	5014.59i	−0.686091	−	0.330404i	−0.744248	+	0.667904i	$0.767192\pi$
$614$	−2586.97	+	11334.3i	−0.170036	+	0.744974i
$615$	3495.02	+	1683.11i	0.229159	+	0.110357i
$616$	662.388	−	830.608i	0.0433253	−	0.0543282i
$617$	15325.4	−	7380.32i	0.999963	−	0.481557i	0.139037	−	0.990287i	$-0.455599\pi$
$617$	15325.4	−	7380.32i	0.999963	−	0.481557i	0.860926	+	0.508730i	$0.169885\pi$
$618$	1679.99	−	1339.75i	0.109351	−	0.0872048i
$619$	1797.68	−	7876.15i	0.116728	−	0.511421i	−0.882432	−	0.470441i	$-0.844095\pi$
$619$	1797.68	−	7876.15i	0.116728	−	0.511421i	0.999160	−	0.0409798i	$-0.0130479\pi$
$620$	604.389	−	2648.00i	0.0391498	−	0.171526i
$621$	−1691.41	−	3512.25i	−0.109298	−	0.226959i
$622$	−813.284	−	185.627i	−0.0524272	−	0.0119662i
$623$	−21211.0	−	44045.0i	−1.36404	−	2.83246i
$624$	−95.5095			−0.00612731
$625$	−554.497	−	2429.41i	−0.0354878	−	0.155482i
$626$	−9213.21	+	7347.29i	−0.588233	+	0.469100i
$627$	−819.094			−0.0521714
$628$	−4095.21	+	5135.23i	−0.260217	+	0.326302i
$629$	5112.31	+	1166.85i	0.324072	+	0.0739672i
$630$	−2970.47	+	3724.85i	−0.187851	+	0.235558i
$631$	2714.03	−	11890.9i	0.171226	−	0.750191i	−0.814269	−	0.580488i	$-0.802862\pi$
$631$	2714.03	−	11890.9i	0.171226	−	0.750191i	0.985495	−	0.169703i	$-0.0542809\pi$
$632$	13642.5	−	6569.88i	0.858654	−	0.413506i
$633$	−966.454	−	4234.31i	−0.0606842	−	0.265875i
$634$	−1939.63	+	8498.06i	−0.121502	+	0.532336i
$635$	1076.45	+	858.442i	0.0672720	+	0.0536476i
$636$	7689.58	+	6132.23i	0.479421	+	0.382325i
$637$	−1400.66	+	2908.50i	−0.0871212	+	0.180909i
$638$	−24.0174	+	30.1168i	−0.00149037	+	0.00186887i
$639$	80.6935	+	64.3509i	0.00499559	+	0.00398385i
$640$	4245.15	−	2044.35i	0.262194	−	0.126266i
$641$	−21301.6	+	16987.5i	−1.31258	+	1.04675i	−0.317437	+	0.948279i	$0.602822\pi$
$641$	−21301.6	+	16987.5i	−1.31258	+	1.04675i	−0.995140	+	0.0984666i	$0.968606\pi$
$642$	7622.55	+	9558.38i	0.468595	+	0.587600i
$643$	10050.5	−	2293.96i	0.616411	−	0.140692i	0.0970964	−	0.995275i	$-0.469044\pi$
$643$	10050.5	−	2293.96i	0.616411	−	0.140692i	0.519314	+	0.854583i	$0.326187\pi$
$644$	−3376.67	−	1626.12i	−0.206614	−	0.0995000i
$645$	11455.9	−	5516.89i	0.699344	−	0.336787i
$646$	6960.17	+	30494.5i	0.423907	+	1.85726i
$647$	6898.48	−	14324.8i	0.419176	−	0.870429i	−0.579293	−	0.815119i	$-0.696671\pi$
$647$	6898.48	−	14324.8i	0.419176	−	0.870429i	0.998469	−	0.0553092i	$-0.0176144\pi$
$648$	−3895.81	+	889.194i	−0.236176	+	0.0539056i
$649$	−104.807	+	217.634i	−0.00633903	+	0.0131631i
$650$	−190.690	+	835.467i	−0.0115069	+	0.0504150i
$651$	2306.93	+	10107.3i	0.138888	+	0.608506i
$652$	2198.61	−	9632.75i	0.132062	−	0.578600i
$653$	−4302.63	−	2072.04i	−0.257848	−	0.124173i	0.300495	−	0.953784i	$-0.402848\pi$
$653$	−4302.63	−	2072.04i	−0.257848	−	0.124173i	−0.558343	+	0.829610i	$0.688563\pi$
$654$	−19.1475	−	24.0102i	−0.00114484	−	0.00143559i
$655$	3060.66	+	13409.6i	0.182580	+	0.799936i
$656$	732.458	+	352.733i	0.0435940	+	0.0209938i
$657$	−6461.61	−	1474.82i	−0.383701	−	0.0875772i
$658$	−2519.37	−	2009.13i	−0.149263	−	0.119033i
$659$		−	17762.0i		−	1.04994i	−0.851121	−	0.524970i	$-0.824077\pi$
$659$		−	17762.0i		−	1.04994i	0.851121	−	0.524970i	$-0.175923\pi$
$660$			160.463i			0.00946368i
$661$	10005.2	−	4818.26i	0.588741	−	0.283523i	−0.115701	−	0.993284i	$-0.536911\pi$
$661$	10005.2	−	4818.26i	0.588741	−	0.283523i	0.704442	+	0.709761i	$0.251197\pi$
$662$	−6910.42	−	14349.6i	−0.405712	−	0.842469i
$663$	2237.92	+	510.790i	0.131091	+	0.0299207i
$664$	9909.39	+	7902.48i	0.579155	+	0.461861i
$665$	22274.1	−	17763.0i	1.29887	−	1.03582i
$666$	493.552	−	1024.87i	0.0287159	−	0.0596291i
$667$	332.048	+	159.906i	0.0192758	+	0.00928273i
$668$		−	7282.56i		−	0.421812i
$669$	−66.7028	+	53.1937i	−0.00385483	+	0.00307412i
$670$	2428.18	−	5042.16i	0.140013	−	0.290740i
$671$	499.870	−	1037.99i	0.0287590	−	0.0597186i
$672$	−12252.0	+	15363.6i	−0.703322	+	0.881938i
$673$	1811.94	−	413.564i	0.103782	−	0.0236875i	−0.170315	−	0.985390i	$-0.554478\pi$
$673$	1811.94	−	413.564i	0.103782	−	0.0236875i	0.274096	+	0.961702i	$0.411621\pi$
$674$	−11940.1			−0.682367
$675$			12754.8i			0.727308i
$676$	6313.59	−	7917.00i	0.359217	−	0.450444i
$677$	246.699	−	512.275i	0.0140050	−	0.0290817i	−0.893849	−	0.448368i	$-0.852005\pi$
$677$	246.699	−	512.275i	0.0140050	−	0.0290817i	0.907854	+	0.419286i	$0.137720\pi$
$678$		−	638.929i		−	0.0361916i
$679$	−1752.74	−	2197.87i	−0.0990633	−	0.124222i
$680$	16201.8	−	3697.96i	0.913693	−	0.208544i
$681$	7126.32	+	8936.12i	0.401000	+	0.502838i
$682$	199.444	+	159.051i	0.0111981	+	0.00893018i
$683$	1856.71	−	2328.24i	0.104019	−	0.130436i	−0.727097	−	0.686535i	$-0.759131\pi$
$683$	1856.71	−	2328.24i	0.104019	−	0.130436i	0.831116	+	0.556099i	$0.187702\pi$
$684$	−9528.98			−0.532675
$685$	−9570.59	+	7632.29i	−0.533830	+	0.425715i
$686$	−5978.49	−	12414.5i	−0.332740	−	0.690942i
$687$	−14499.8	−	18182.2i	−0.805244	−	1.00974i
$688$	2400.85	−	1156.19i	0.133040	−	0.0640686i
$689$	−3074.24	+	701.676i	−0.169985	+	0.0387979i
$690$	−1065.77	+	243.254i	−0.0588015	+	0.0134211i
$691$	−16362.4	+	7879.70i	−0.900801	+	0.433803i	−0.826178	−	0.563409i	$-0.809490\pi$
$691$	−16362.4	+	7879.70i	−0.900801	+	0.433803i	−0.0746227	+	0.997212i	$0.523775\pi$
$692$	−8819.01	−	11058.7i	−0.484463	−	0.607497i
$693$	272.654	+	566.173i	0.0149456	+	0.0310348i
$694$	−9684.48	+	7723.12i	−0.529709	+	0.422429i
$695$	7918.70			0.432192
$696$	738.572	−	926.140i	0.0402234	−	0.0504386i
$697$	−15276.1	−	12182.3i	−0.830161	−	0.662031i
$698$	2242.58	+	2812.10i	0.121609	+	0.152492i
$699$	−16716.1	+	3815.35i	−0.904525	+	0.206452i
$700$	7645.51	+	9587.16i	0.412818	+	0.517658i
$701$			21293.0i			1.14726i	0.819115	+	0.573629i	$0.194465\pi$
$701$			21293.0i			1.14726i	−0.819115	+	0.573629i	$0.805535\pi$
$702$	642.686	−	1334.55i	0.0345536	−	0.0717512i
$703$	−4241.11	+	5318.19i	−0.227534	+	0.285319i
$704$			541.103i			0.0289681i
$705$	1319.99			0.0705159
$706$	−3618.60	+	825.923i	−0.192901	+	0.0440284i
$707$	−25040.5	+	31399.8i	−1.33203	+	1.67031i
$708$	1188.39	−	2467.71i	0.0630823	−	0.130992i
$709$	−5211.48	+	10821.7i	−0.276052	+	0.573228i	−0.992191	−	0.124730i	$-0.960194\pi$
$709$	−5211.48	+	10821.7i	−0.276052	+	0.573228i	0.716138	+	0.697958i	$0.245908\pi$
$710$	67.3116	−	53.6792i	0.00355797	−	0.00283739i
$711$			8956.54i			0.472428i
$712$	33327.9	+	16049.9i	1.75423	+	0.844794i
$713$	1058.95	−	2198.93i	0.0556213	−	0.115499i
$714$	−18286.2	+	14582.7i	−0.958463	+	0.764349i
$715$	−40.2222	−	32.0761i	−0.00210381	−	0.00167773i
$716$	6530.25	+	1490.49i	0.340848	+	0.0777962i
$717$	−7569.52	−	15718.3i	−0.394266	−	0.818702i
$718$	7824.31	−	3767.99i	0.406686	−	0.195850i
$719$			13572.9i			0.704011i	0.935998	+	0.352005i	$0.114500\pi$
$719$			13572.9i			0.704011i	−0.935998	+	0.352005i	$0.885500\pi$
$720$		−	408.999i		−	0.0211701i
$721$	7707.32	+	6146.38i	0.398108	+	0.317480i
$722$	−27359.7	−	6244.67i	−1.41028	−	0.321887i
$723$	−13550.0	−	6525.32i	−0.696997	−	0.335656i
$724$	1872.60	+	8204.39i	0.0961251	+	0.421152i
$725$	−751.828	−	942.763i	−0.0385134	−	0.0482943i
$726$	7971.79	+	3839.01i	0.407522	+	0.196252i
$727$	−4219.47	+	18486.7i	−0.215256	+	0.943100i	0.745674	+	0.666311i	$0.232127\pi$
$727$	−4219.47	+	18486.7i	−0.215256	+	0.943100i	−0.960931	+	0.276789i	$0.910730\pi$
$728$	−859.406	−	3765.30i	−0.0437523	−	0.191692i
$729$	3782.59	−	16572.6i	0.192176	−	0.841976i
$730$	−2398.80	+	4981.15i	−0.121621	+	0.252549i
$731$	−62438.5	+	14251.2i	−3.15919	+	0.721065i
$732$	−5667.93	+	11769.6i	−0.286192	+	0.594285i
$733$	560.625	+	2456.26i	0.0282499	+	0.123771i	0.987087	−	0.160187i	$-0.0512097\pi$
$733$	560.625	+	2456.26i	0.0282499	+	0.123771i	−0.958837	+	0.283958i	$0.908353\pi$
$734$	13517.7	−	6509.77i	0.679763	−	0.327357i
$735$	12139.5	+	5846.07i	0.609213	+	0.293382i
$736$	4510.14	−	1029.41i	0.225877	−	0.0515551i
$737$	−460.235	−	577.117i	−0.0230027	−	0.0288445i
$738$	−3313.80	+	2642.67i	−0.165288	+	0.131813i
$739$	25197.3	−	12134.4i	1.25426	−	0.604020i	0.315609	−	0.948889i	$-0.397791\pi$
$739$	25197.3	−	12134.4i	1.25426	−	0.604020i	0.938651	+	0.344870i	$0.112077\pi$
$740$	1041.85	+	830.850i	0.0517558	+	0.0412739i
$741$	−1856.55	+	2328.04i	−0.0920407	+	0.115415i
$742$	13940.5	−	28947.7i	0.689718	−	1.43221i
$743$	16580.2	+	13222.2i	0.818664	+	0.652862i	0.940540	−	0.339683i	$-0.110320\pi$
$743$	16580.2	+	13222.2i	0.818664	+	0.652862i	−0.121876	+	0.992545i	$0.538891\pi$
$744$	−6133.21	−	4891.07i	−0.302224	−	0.241015i
$745$	−980.279	+	4294.88i	−0.0482076	+	0.211211i
$746$	2652.75	+	11622.5i	0.130193	+	0.570413i
$747$	−6754.60	+	3252.85i	−0.330841	+	0.159324i
$748$	179.848	−	787.966i	0.00879130	−	0.0385172i
$749$	−34970.1	+	43851.1i	−1.70598	+	2.13923i
$750$	8561.26	+	1954.05i	0.416817	+	0.0951358i
$751$	−22728.6	+	28500.8i	−1.10437	+	1.38483i	−0.189111	+	0.981956i	$0.560561\pi$
$751$	−22728.6	+	28500.8i	−1.10437	+	1.38483i	−0.915255	+	0.402875i	$0.868011\pi$
$752$	276.633			0.0134146
$753$	−1276.67	+	1018.11i	−0.0617855	+	0.0492723i
$754$	31.1610	+	136.525i	0.00150506	+	0.00659410i
$755$	10990.2			0.529770
$756$	−9196.41	−	19096.5i	−0.442421	−	0.918697i
$757$	−32640.3	−	7449.94i	−1.56715	−	0.357692i	−0.651175	−	0.758927i	$-0.725724\pi$
$757$	−32640.3	−	7449.94i	−1.56715	−	0.357692i	−0.915975	+	0.401235i	$0.868581\pi$
$758$	−9495.98	−	19718.6i	−0.455026	−	0.944871i
$759$	−32.0851	+	140.574i	−0.00153441	+	0.00672268i
$760$	−4796.98	+	21017.0i	−0.228954	+	1.00311i
$761$	18511.9	−	14762.7i	0.881808	−	0.703218i	−0.0739851	−	0.997259i	$-0.523572\pi$
$761$	18511.9	−	14762.7i	0.881808	−	0.703218i	0.955793	+	0.294041i	$0.0950003\pi$
$762$	1321.06	−	636.187i	0.0628042	−	0.0302449i
$763$	87.8433	−	110.152i	0.00416794	−	0.00522644i
$764$	−10257.2	−	4939.61i	−0.485724	−	0.233912i
$765$	−2187.35	+	9583.40i	−0.103377	+	0.452926i
$766$	17708.7	+	8528.04i	0.835300	+	0.402259i	<

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:	\( N \)	\(=\)	\( 197 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	197.e (of order \(14\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.77835 - 0.405896i) q^{2} +(3.55906 - 0.812332i) q^{3} +(-4.20998 - 2.02742i) q^{4} +(-2.71301 - 5.63362i) q^{5} -6.65897 q^{6} +(-6.79789 - 29.7835i) q^{7} +(18.0729 + 14.4126i) q^{8} +(-12.3191 + 5.93258i) q^{9} +O(q^{10})\)	\(q+(-1.77835 - 0.405896i) q^{2} +(3.55906 - 0.812332i) q^{3} +(-4.20998 - 2.02742i) q^{4} +(-2.71301 - 5.63362i) q^{5} -6.65897 q^{6} +(-6.79789 - 29.7835i) q^{7} +(18.0729 + 14.4126i) q^{8} +(-12.3191 + 5.93258i) q^{9} +(2.53801 + 11.1197i) q^{10} +(1.46669 + 0.334762i) q^{11} +(-16.6305 - 3.79581i) q^{12} +(4.27585 - 3.40988i) q^{13} +55.7247i q^{14} +(-14.2321 - 17.8465i) q^{15} +(-2.98266 - 3.74013i) q^{16} +(49.8853 + 103.588i) q^{17} +(24.3157 - 5.54991i) q^{18} -149.144 q^{19} +29.2178i q^{20} +(-48.3882 - 100.479i) q^{21} +(-2.47240 - 1.19065i) q^{22} +(-5.84219 + 25.5963i) q^{23} +(76.0303 + 36.6143i) q^{24} +(53.5590 - 67.1608i) q^{25} +(-8.98801 + 4.32840i) q^{26} +(-116.087 + 92.5765i) q^{27} +(-31.7647 + 139.170i) q^{28} +(3.12361 - 13.6854i) q^{29} +(18.0658 + 37.5141i) q^{30} +(-90.6296 - 20.6856i) q^{31} +(-76.4515 - 158.753i) q^{32} +5.49197 q^{33} +(-46.6675 - 204.464i) q^{34} +(-149.346 + 119.100i) q^{35} +63.8912 q^{36} +(28.4364 - 35.6581i) q^{37} +(265.230 + 60.5369i) q^{38} +(12.4481 - 15.6094i) q^{39} +(32.1635 - 140.917i) q^{40} +(-153.112 + 73.7348i) q^{41} +(45.2670 + 198.328i) q^{42} +(-123.951 + 543.067i) q^{43} +(-5.49603 - 4.38294i) q^{44} +(66.8438 + 53.3062i) q^{45} +(20.7789 - 43.1478i) q^{46} +(-36.0545 + 45.2109i) q^{47} +(-13.6537 - 10.8885i) q^{48} +(-531.814 + 256.108i) q^{49} +(-122.507 + 97.6959i) q^{50} +(261.693 + 328.152i) q^{51} +(-24.9145 + 5.68658i) q^{52} +(-519.476 - 250.167i) q^{53} +(244.020 - 117.514i) q^{54} +(-2.09321 - 9.17097i) q^{55} +(306.402 - 636.250i) q^{56} +(-530.812 + 121.154i) q^{57} +(-11.1097 + 23.0696i) q^{58} +(-35.7291 + 156.539i) q^{59} +(23.7346 + 103.988i) q^{60} +(170.408 - 746.605i) q^{61} +(152.775 + 73.5725i) q^{62} +(260.437 + 326.578i) q^{63} +(80.0360 + 350.661i) q^{64} +(-30.8104 - 14.8375i) q^{65} +(-9.76663 - 2.22917i) q^{66} +(-383.617 - 305.925i) q^{67} -537.241i q^{68} +95.8446i q^{69} +(313.932 - 151.182i) q^{70} +(-3.27513 - 6.80087i) q^{71} +(-308.147 - 70.3324i) q^{72} +(378.975 + 302.223i) q^{73} +(-65.0433 + 51.8703i) q^{74} +(136.063 - 282.537i) q^{75} +(627.893 + 302.377i) q^{76} -45.9588i q^{77} +(-28.4728 + 22.7063i) q^{78} +(284.213 - 590.173i) q^{79} +(-12.9785 + 26.9502i) q^{80} +(-107.781 + 135.153i) q^{81} +(302.215 - 68.9786i) q^{82} +548.302 q^{83} +521.119i q^{84} +(448.235 - 562.069i) q^{85} +(440.857 - 915.450i) q^{86} -51.2447i q^{87} +(21.6825 + 27.1890i) q^{88} +(1560.11 - 356.085i) q^{89} +(-97.2348 - 121.929i) q^{90} +(-130.625 - 104.170i) q^{91} +(76.4900 - 95.9154i) q^{92} -339.360 q^{93} +(82.4684 - 65.7664i) q^{94} +(404.628 + 840.220i) q^{95} +(-401.056 - 502.908i) q^{96} +(82.9077 - 39.9262i) q^{97} +(1049.70 - 239.588i) q^{98} +(-20.0543 + 4.57727i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 288 q - 7 q^{2} - 7 q^{3} + 159 q^{4} - 7 q^{5} + 26 q^{6} - 53 q^{7} + 49 q^{8} + 391 q^{9}+O(q^{10}) \) 288 * q - 7 * q^2 - 7 * q^3 + 159 * q^4 - 7 * q^5 + 26 * q^6 - 53 * q^7 + 49 * q^8 + 391 * q^9	\( 288 q - 7 q^{2} - 7 q^{3} + 159 q^{4} - 7 q^{5} + 26 q^{6} - 53 q^{7} + 49 q^{8} + 391 q^{9} + 149 q^{10} + 91 q^{11} - 63 q^{12} - 7 q^{13} - 473 q^{15} - 1113 q^{16} - 7 q^{17} - 196 q^{18} + 464 q^{19} - 7 q^{21} + 807 q^{22} + 413 q^{23} - 1425 q^{24} + 1195 q^{25} - 543 q^{26} + 455 q^{27} + 174 q^{28} - 906 q^{29} + 798 q^{30} + 917 q^{31} + 945 q^{32} + 894 q^{33} - 219 q^{34} - 7 q^{35} + 3250 q^{36} + 1734 q^{37} - 63 q^{38} - 825 q^{39} + 141 q^{40} + 563 q^{41} + 432 q^{42} - 423 q^{43} + 2149 q^{44} - 3808 q^{45} - 2569 q^{46} - 289 q^{47} - 3703 q^{48} - 3747 q^{49} - 4963 q^{50} - 87 q^{51} + 3654 q^{52} - 1573 q^{53} - 1228 q^{54} + 2825 q^{55} + 98 q^{56} - 518 q^{57} - 5103 q^{58} + 2045 q^{59} + 3375 q^{60} + 287 q^{61} - 2547 q^{62} + 1453 q^{63} + 6475 q^{64} + 1268 q^{65} + 4634 q^{66} - 3577 q^{67} - 814 q^{70} - 273 q^{71} - 1008 q^{72} - 679 q^{73} - 315 q^{74} - 1281 q^{75} + 6078 q^{76} + 4739 q^{78} + 1463 q^{79} + 441 q^{80} - 4427 q^{81} - 7 q^{82} + 4900 q^{83} - 3351 q^{85} + 3472 q^{86} + 3738 q^{88} + 147 q^{89} + 7133 q^{90} - 14133 q^{91} - 803 q^{92} - 4894 q^{93} - 7833 q^{94} - 7700 q^{95} - 16450 q^{96} + 1233 q^{97} - 2030 q^{98} + 2464 q^{99}+O(q^{100}) \) 288 * q - 7 * q^2 - 7 * q^3 + 159 * q^4 - 7 * q^5 + 26 * q^6 - 53 * q^7 + 49 * q^8 + 391 * q^9 + 149 * q^10 + 91 * q^11 - 63 * q^12 - 7 * q^13 - 473 * q^15 - 1113 * q^16 - 7 * q^17 - 196 * q^18 + 464 * q^19 - 7 * q^21 + 807 * q^22 + 413 * q^23 - 1425 * q^24 + 1195 * q^25 - 543 * q^26 + 455 * q^27 + 174 * q^28 - 906 * q^29 + 798 * q^30 + 917 * q^31 + 945 * q^32 + 894 * q^33 - 219 * q^34 - 7 * q^35 + 3250 * q^36 + 1734 * q^37 - 63 * q^38 - 825 * q^39 + 141 * q^40 + 563 * q^41 + 432 * q^42 - 423 * q^43 + 2149 * q^44 - 3808 * q^45 - 2569 * q^46 - 289 * q^47 - 3703 * q^48 - 3747 * q^49 - 4963 * q^50 - 87 * q^51 + 3654 * q^52 - 1573 * q^53 - 1228 * q^54 + 2825 * q^55 + 98 * q^56 - 518 * q^57 - 5103 * q^58 + 2045 * q^59 + 3375 * q^60 + 287 * q^61 - 2547 * q^62 + 1453 * q^63 + 6475 * q^64 + 1268 * q^65 + 4634 * q^66 - 3577 * q^67 - 814 * q^70 - 273 * q^71 - 1008 * q^72 - 679 * q^73 - 315 * q^74 - 1281 * q^75 + 6078 * q^76 + 4739 * q^78 + 1463 * q^79 + 441 * q^80 - 4427 * q^81 - 7 * q^82 + 4900 * q^83 - 3351 * q^85 + 3472 * q^86 + 3738 * q^88 + 147 * q^89 + 7133 * q^90 - 14133 * q^91 - 803 * q^92 - 4894 * q^93 - 7833 * q^94 - 7700 * q^95 - 16450 * q^96 + 1233 * q^97 - 2030 * q^98 + 2464 * q^99

Introduction

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