LMFDB - Embedded newform 108.3.j.a.7.20

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [108,3,Mod(7,108)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(108, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([9, 16]))

N = Newforms(chi, 3, names="a")

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

chi := DirichletCharacter("108.7");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 108 = 2^{2} \cdot 3^{3} $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	108.j (of order $18$, 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:	$2.94278685509$
Analytic rank:	$0$
Dimension:	$204$
Relative dimension:	$34$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			7.20
Character	$\chi$	$=$	108.7
Dual form			108.3.j.a.31.20

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.343802 + 1.97023i) q^{2} +(2.96394 - 0.463733i) q^{3} +(-3.76360 + 1.35474i) q^{4} +(0.608002 + 3.44815i) q^{5} +(1.93267 + 5.68021i) q^{6} +(-5.71739 + 6.81372i) q^{7} +(-3.96308 - 6.94939i) q^{8} +(8.56990 - 2.74895i) q^{9} +O(q^{10})$	\(q+(0.343802 + 1.97023i) q^{2} +(2.96394 - 0.463733i) q^{3} +(-3.76360 + 1.35474i) q^{4} +(0.608002 + 3.44815i) q^{5} +(1.93267 + 5.68021i) q^{6} +(-5.71739 + 6.81372i) q^{7} +(-3.96308 - 6.94939i) q^{8} +(8.56990 - 2.74895i) q^{9} +(-6.58462 + 2.38339i) q^{10} +(5.38256 + 0.949091i) q^{11} +(-10.5269 + 5.76067i) q^{12} +(21.3373 + 7.76615i) q^{13} +(-15.3902 - 8.92199i) q^{14} +(3.40111 + 9.93818i) q^{15} +(12.3294 - 10.1974i) q^{16} +(-8.12631 - 14.0752i) q^{17} +(8.36242 + 15.9396i) q^{18} +(-19.5372 - 11.2798i) q^{19} +(-6.95962 - 12.1538i) q^{20} +(-13.7863 + 22.8468i) q^{21} +(-0.0193895 + 10.9312i) q^{22} +(-22.1707 - 26.4221i) q^{23} +(-14.9690 - 18.7598i) q^{24} +(11.9722 - 4.35753i) q^{25} +(-7.96527 + 44.7094i) q^{26} +(24.1259 - 12.1219i) q^{27} +(12.2872 - 33.3897i) q^{28} +(24.1480 - 8.78914i) q^{29} +(-18.4112 + 10.1177i) q^{30} +(14.3967 + 17.1573i) q^{31} +(24.3300 + 20.7858i) q^{32} +(16.3937 + 0.316980i) q^{33} +(24.9375 - 20.8498i) q^{34} +(-26.9709 - 15.5717i) q^{35} +(-28.5296 + 21.9559i) q^{36} +(7.88574 + 13.6585i) q^{37} +(15.5069 - 42.3708i) q^{38} +(66.8440 + 13.1236i) q^{39} +(21.5530 - 17.8905i) q^{40} +(-49.6190 - 18.0598i) q^{41} +(-49.7532 - 19.3073i) q^{42} +(9.61800 + 1.69591i) q^{43} +(-21.5436 + 3.71996i) q^{44} +(14.6893 + 27.8790i) q^{45} +(44.4351 - 52.7654i) q^{46} +(14.9904 - 17.8648i) q^{47} +(31.8147 - 35.9420i) q^{48} +(-5.22945 - 29.6577i) q^{49} +(12.7014 + 22.0899i) q^{50} +(-30.6130 - 37.9496i) q^{51} +(-90.8262 - 0.322212i) q^{52} +4.09859 q^{53} +(32.1774 + 43.3660i) q^{54} +19.1370i q^{55} +(70.0096 + 12.7291i) q^{56} +(-63.1380 - 24.3727i) q^{57} +(25.6187 + 44.5553i) q^{58} +(28.0094 - 4.93882i) q^{59} +(-26.2640 - 32.7957i) q^{60} +(-31.1357 - 26.1260i) q^{61} +(-28.8541 + 34.2634i) q^{62} +(-30.2669 + 74.1097i) q^{63} +(-32.5881 + 55.0819i) q^{64} +(-13.8057 + 78.2962i) q^{65} +(5.01168 + 32.4084i) q^{66} +(-30.9299 + 84.9793i) q^{67} +(49.6523 + 41.9643i) q^{68} +(-77.9656 - 68.0321i) q^{69} +(21.4071 - 58.4924i) q^{70} +(-87.8991 + 50.7486i) q^{71} +(-53.0667 - 48.6613i) q^{72} +(-16.0025 + 27.7171i) q^{73} +(-24.1992 + 20.2325i) q^{74} +(33.4642 - 18.4674i) q^{75} +(88.8115 + 15.9849i) q^{76} +(-37.2410 + 31.2489i) q^{77} +(-2.87538 + 136.210i) q^{78} +(-8.65102 - 23.7685i) q^{79} +(42.6584 + 36.3135i) q^{80} +(65.8865 - 47.1165i) q^{81} +(18.5229 - 103.970i) q^{82} +(-16.3859 - 45.0198i) q^{83} +(20.9345 - 104.663i) q^{84} +(43.5925 - 36.5785i) q^{85} +(-0.0346467 + 19.5327i) q^{86} +(67.4973 - 37.2487i) q^{87} +(-14.7359 - 41.1668i) q^{88} +(45.0663 - 78.0571i) q^{89} +(-49.8777 + 38.5262i) q^{90} +(-174.910 + 100.984i) q^{91} +(119.237 + 69.4065i) q^{92} +(50.6272 + 44.1769i) q^{93} +(40.3515 + 23.3925i) q^{94} +(27.0159 - 74.2255i) q^{95} +(81.7519 + 50.3253i) q^{96} +(-25.7741 + 146.172i) q^{97} +(56.6346 - 20.4996i) q^{98} +(48.7371 - 6.66280i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 204 q - 6 q^{2} - 6 q^{4} - 12 q^{5} - 6 q^{6} - 3 q^{8} - 12 q^{9}+O(q^{10}) $ 204 * q - 6 * q^2 - 6 * q^4 - 12 * q^5 - 6 * q^6 - 3 * q^8 - 12 * q^9	$ 204 q - 6 q^{2} - 6 q^{4} - 12 q^{5} - 6 q^{6} - 3 q^{8} - 12 q^{9} - 3 q^{10} + 39 q^{12} - 12 q^{13} + 39 q^{14} - 6 q^{16} - 6 q^{17} - 27 q^{18} - 69 q^{20} - 12 q^{21} - 6 q^{22} - 138 q^{24} - 12 q^{25} - 174 q^{26} - 12 q^{28} + 60 q^{29} - 153 q^{30} - 96 q^{32} + 48 q^{33} + 6 q^{34} + 24 q^{36} - 6 q^{37} + 72 q^{38} + 69 q^{40} - 192 q^{41} - 126 q^{42} - 219 q^{44} - 132 q^{45} - 3 q^{46} - 219 q^{48} - 12 q^{49} - 165 q^{50} + 21 q^{52} - 24 q^{53} + 78 q^{54} + 99 q^{56} - 150 q^{57} - 141 q^{58} + 210 q^{60} - 12 q^{61} + 294 q^{62} - 3 q^{64} - 156 q^{65} + 393 q^{66} + 375 q^{68} - 60 q^{69} - 165 q^{70} + 228 q^{72} - 6 q^{73} + 447 q^{74} - 54 q^{76} + 132 q^{77} + 750 q^{78} + 798 q^{80} + 228 q^{81} - 12 q^{82} + 762 q^{84} + 138 q^{85} + 606 q^{86} - 198 q^{88} - 114 q^{89} + 894 q^{90} + 723 q^{92} - 1020 q^{93} - 357 q^{94} + 474 q^{96} + 168 q^{97} + 510 q^{98}+O(q^{100}) $ 204 * q - 6 * q^2 - 6 * q^4 - 12 * q^5 - 6 * q^6 - 3 * q^8 - 12 * q^9 - 3 * q^10 + 39 * q^12 - 12 * q^13 + 39 * q^14 - 6 * q^16 - 6 * q^17 - 27 * q^18 - 69 * q^20 - 12 * q^21 - 6 * q^22 - 138 * q^24 - 12 * q^25 - 174 * q^26 - 12 * q^28 + 60 * q^29 - 153 * q^30 - 96 * q^32 + 48 * q^33 + 6 * q^34 + 24 * q^36 - 6 * q^37 + 72 * q^38 + 69 * q^40 - 192 * q^41 - 126 * q^42 - 219 * q^44 - 132 * q^45 - 3 * q^46 - 219 * q^48 - 12 * q^49 - 165 * q^50 + 21 * q^52 - 24 * q^53 + 78 * q^54 + 99 * q^56 - 150 * q^57 - 141 * q^58 + 210 * q^60 - 12 * q^61 + 294 * q^62 - 3 * q^64 - 156 * q^65 + 393 * q^66 + 375 * q^68 - 60 * q^69 - 165 * q^70 + 228 * q^72 - 6 * q^73 + 447 * q^74 - 54 * q^76 + 132 * q^77 + 750 * q^78 + 798 * q^80 + 228 * q^81 - 12 * q^82 + 762 * q^84 + 138 * q^85 + 606 * q^86 - 198 * q^88 - 114 * q^89 + 894 * q^90 + 723 * q^92 - 1020 * q^93 - 357 * q^94 + 474 * q^96 + 168 * q^97 + 510 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/108\mathbb{Z}\right)^\times$.

$n$	$29$	$55$
$\chi(n)$	$e\left(\frac{8}{9}\right)$	$-1$

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 $

$2$	0.343802	+	1.97023i	0.171901	+	0.985114i
$2$	0.343802	+	1.97023i	0.171901	+	0.985114i
$3$	2.96394	−	0.463733i	0.987981	−	0.154578i
$3$	2.96394	−	0.463733i	0.987981	−	0.154578i
$4$	−3.76360	+	1.35474i	−0.940900	+	0.338684i
$5$	0.608002	+	3.44815i	0.121600	+	0.689631i	0.983269	+	0.182159i	$0.0583086\pi$
$5$	0.608002	+	3.44815i	0.121600	+	0.689631i	−0.861669	+	0.507471i	$0.830580\pi$
$6$	1.93267	+	5.68021i	0.322112	+	0.946702i
$7$	−5.71739	+	6.81372i	−0.816769	+	0.973388i	−0.999953	−	0.00969079i	$-0.996915\pi$
$7$	−5.71739	+	6.81372i	−0.816769	+	0.973388i	0.183184	+	0.983079i	$0.441360\pi$
$8$	−3.96308	−	6.94939i	−0.495385	−	0.868674i
$9$	8.56990	−	2.74895i	0.952212	−	0.305439i
$10$	−6.58462	+	2.38339i	−0.658462	+	0.238339i
$11$	5.38256	+	0.949091i	0.489324	+	0.0862810i	0.412866	−	0.910792i	$-0.364528\pi$
$11$	5.38256	+	0.949091i	0.489324	+	0.0862810i	0.0764579	+	0.997073i	$0.475639\pi$
$12$	−10.5269	+	5.76067i	−0.877238	+	0.480056i
$13$	21.3373	+	7.76615i	1.64133	+	0.597396i	0.987271	−	0.159046i	$-0.0508418\pi$
$13$	21.3373	+	7.76615i	1.64133	+	0.597396i	0.654061	+	0.756442i	$0.273064\pi$
$14$	−15.3902	−	8.92199i	−1.09930	−	0.637285i
$15$	3.40111	+	9.93818i	0.226740	+	0.662545i
$16$	12.3294	−	10.1974i	0.770586	−	0.637336i
$17$	−8.12631	−	14.0752i	−0.478018	−	0.827951i	0.521664	−	0.853151i	$-0.325311\pi$
$17$	−8.12631	−	14.0752i	−0.478018	−	0.827951i	−0.999682	+	0.0251993i	$0.991978\pi$
$18$	8.36242	+	15.9396i	0.464579	+	0.885532i
$19$	−19.5372	−	11.2798i	−1.02828	−	0.593675i	−0.111785	−	0.993732i	$-0.535657\pi$
$19$	−19.5372	−	11.2798i	−1.02828	−	0.593675i	−0.916490	+	0.400057i	$0.868990\pi$
$20$	−6.95962	−	12.1538i	−0.347981	−	0.607689i
$21$	−13.7863	+	22.8468i	−0.656488	+	1.08794i
$22$	−0.0193895	+	10.9312i	−0.000881340	+	0.496872i
$23$	−22.1707	−	26.4221i	−0.963945	−	1.14879i	−0.988823	−	0.149095i	$-0.952364\pi$
$23$	−22.1707	−	26.4221i	−0.963945	−	1.14879i	0.0248778	−	0.999690i	$-0.492080\pi$
$24$	−14.9690	−	18.7598i	−0.623708	−	0.781658i
$25$	11.9722	−	4.35753i	0.478889	−	0.174301i
$26$	−7.96527	+	44.7094i	−0.306357	+	1.71959i
$27$	24.1259	−	12.1219i	0.893553	−	0.448959i
$28$	12.2872	−	33.3897i	0.438827	−	1.19249i
$29$	24.1480	−	8.78914i	0.832688	−	0.303074i	0.109727	−	0.993962i	$-0.465002\pi$
$29$	24.1480	−	8.78914i	0.832688	−	0.303074i	0.722962	+	0.690888i	$0.242780\pi$
$30$	−18.4112	+	10.1177i	−0.613706	+	0.337257i
$31$	14.3967	+	17.1573i	0.464408	+	0.553460i	0.946518	−	0.322651i	$-0.104574\pi$
$31$	14.3967	+	17.1573i	0.464408	+	0.553460i	−0.482110	+	0.876111i	$0.660129\pi$
$32$	24.3300	+	20.7858i	0.760314	+	0.649556i
$33$	16.3937	+	0.316980i	0.496780	+	0.00960546i
$34$	24.9375	−	20.8498i	0.733455	−	0.613228i
$35$	−26.9709	−	15.5717i	−0.770598	−	0.444905i
$36$	−28.5296	+	21.9559i	−0.792488	+	0.609887i
$37$	7.88574	+	13.6585i	0.213128	+	0.369149i	0.952692	−	0.303938i	$-0.0983015\pi$
$37$	7.88574	+	13.6585i	0.213128	+	0.369149i	−0.739564	+	0.673086i	$0.764968\pi$
$38$	15.5069	−	42.3708i	0.408076	−	1.11502i
$39$	66.8440	+	13.1236i	1.71395	+	0.336503i
$40$	21.5530	−	17.8905i	0.538825	−	0.447264i
$41$	−49.6190	−	18.0598i	−1.21022	−	0.440484i	−0.343439	−	0.939175i	$-0.611592\pi$
$41$	−49.6190	−	18.0598i	−1.21022	−	0.440484i	−0.866780	+	0.498691i	$0.833814\pi$
$42$	−49.7532	−	19.3073i	−1.18460	−	0.459698i
$43$	9.61800	+	1.69591i	0.223674	+	0.0394398i	0.284362	−	0.958717i	$-0.408218\pi$
$43$	9.61800	+	1.69591i	0.223674	+	0.0394398i	−0.0606877	+	0.998157i	$0.519329\pi$
$44$	−21.5436	+	3.71996i	−0.489627	+	0.0845446i
$45$	14.6893	+	27.8790i	0.326430	+	0.619533i
$46$	44.4351	−	52.7654i	0.965981	−	1.14707i
$47$	14.9904	−	17.8648i	0.318944	−	0.380103i	−0.582623	−	0.812743i	$-0.697973\pi$
$47$	14.9904	−	17.8648i	0.318944	−	0.380103i	0.901567	+	0.432640i	$0.142418\pi$
$48$	31.8147	−	35.9420i	0.662806	−	0.748791i
$49$	−5.22945	−	29.6577i	−0.106724	−	0.605259i
$50$	12.7014	+	22.0899i	0.254028	+	0.441798i
$51$	−30.6130	−	37.9496i	−0.600255	−	0.744109i
$52$	−90.8262	−	0.322212i	−1.74666	−	0.00619638i
$53$	4.09859			0.0773318			0.0386659	−	0.999252i	$-0.487689\pi$
$53$	4.09859			0.0773318			0.0386659	+	0.999252i	$0.487689\pi$
$54$	32.1774	+	43.3660i	0.595878	+	0.803075i
$55$			19.1370i			0.347945i
$56$	70.0096	+	12.7291i	1.25017	+	0.227305i
$57$	−63.1380	−	24.3727i	−1.10769	−	0.427591i
$58$	25.6187	+	44.5553i	0.441702	+	0.768194i
$59$	28.0094	−	4.93882i	0.474736	−	0.0837088i	0.0688395	−	0.997628i	$-0.478070\pi$
$59$	28.0094	−	4.93882i	0.474736	−	0.0837088i	0.405897	+	0.913919i	$0.366959\pi$
$60$	−26.2640	−	32.7957i	−0.437734	−	0.546595i
$61$	−31.1357	−	26.1260i	−0.510422	−	0.428295i	0.350856	−	0.936430i	$-0.385891\pi$
$61$	−31.1357	−	26.1260i	−0.510422	−	0.428295i	−0.861278	+	0.508135i	$0.830335\pi$
$62$	−28.8541	+	34.2634i	−0.465389	+	0.552635i
$63$	−30.2669	+	74.1097i	−0.480426	+	1.17634i
$64$	−32.5881	+	55.0819i	−0.509188	+	0.860655i
$65$	−13.8057	+	78.2962i	−0.212396	+	1.20456i
$66$	5.01168	+	32.4084i	0.0759345	+	0.491036i
$67$	−30.9299	+	84.9793i	−0.461641	+	1.26835i	0.462610	+	0.886562i	$0.346913\pi$
$67$	−30.9299	+	84.9793i	−0.461641	+	1.26835i	−0.924251	+	0.381785i	$0.875309\pi$
$68$	49.6523	+	41.9643i	0.730181	+	0.617122i
$69$	−77.9656	−	68.0321i	−1.12994	−	0.985973i
$70$	21.4071	−	58.4924i	0.305815	−	0.835606i
$71$	−87.8991	+	50.7486i	−1.23802	+	0.714769i	−0.968688	−	0.248280i	$-0.920135\pi$
$71$	−87.8991	+	50.7486i	−1.23802	+	0.714769i	−0.269328	+	0.963049i	$0.586801\pi$
$72$	−53.0667	−	48.6613i	−0.737038	−	0.675851i
$73$	−16.0025	+	27.7171i	−0.219212	+	0.379687i	−0.954567	−	0.297995i	$-0.903682\pi$
$73$	−16.0025	+	27.7171i	−0.219212	+	0.379687i	0.735355	+	0.677682i	$0.237015\pi$
$74$	−24.1992	+	20.2325i	−0.327017	+	0.273412i
$75$	33.4642	−	18.4674i	0.446190	−	0.246232i
$76$	88.8115	+	15.9849i	1.16857	+	0.210328i
$77$	−37.2410	+	31.2489i	−0.483650	+	0.405830i
$78$	−2.87538	+	136.210i	−0.0368639	+	1.74628i
$79$	−8.65102	−	23.7685i	−0.109507	−	0.300867i	0.872820	−	0.488042i	$-0.162289\pi$
$79$	−8.65102	−	23.7685i	−0.109507	−	0.300867i	−0.982326	+	0.187176i	$0.940067\pi$
$80$	42.6584	+	36.3135i	0.533230	+	0.453919i
$81$	65.8865	−	47.1165i	0.813414	−	0.581686i
$82$	18.5229	−	103.970i	0.225889	−	1.26792i
$83$	−16.3859	−	45.0198i	−0.197420	−	0.542408i	0.800996	−	0.598670i	$-0.204304\pi$
$83$	−16.3859	−	45.0198i	−0.197420	−	0.542408i	−0.998416	+	0.0562623i	$0.982082\pi$
$84$	20.9345	−	104.663i	0.249221	−	1.24599i
$85$	43.5925	−	36.5785i	0.512853	−	0.430335i
$86$	−0.0346467	+	19.5327i	−0.000402868	+	0.227125i
$87$	67.4973	−	37.2487i	0.775832	−	0.428146i
$88$	−14.7359	−	41.1668i	−0.167453	−	0.467805i
$89$	45.0663	−	78.0571i	0.506363	−	0.877047i	−0.493610	−	0.869683i	$-0.664323\pi$
$89$	45.0663	−	78.0571i	0.506363	−	0.877047i	0.999973	−	0.00736306i	$-0.00234375\pi$
$90$	−49.8777	+	38.5262i	−0.554197	+	0.428069i
$91$	−174.910	+	100.984i	−1.92209	+	1.10972i
$92$	119.237	+	69.4065i	1.29605	+	0.754419i
$93$	50.6272	+	44.1769i	0.544379	+	0.475021i
$94$	40.3515	+	23.3925i	0.429271	+	0.248856i
$95$	27.0159	−	74.2255i	0.284378	−	0.781321i
$96$	81.7519	+	50.3253i	0.851582	+	0.524222i
$97$	−25.7741	+	146.172i	−0.265713	+	1.50693i	0.501285	+	0.865282i	$0.332861\pi$
$97$	−25.7741	+	146.172i	−0.265713	+	1.50693i	−0.766998	+	0.641650i	$0.778250\pi$
$98$	56.6346	−	20.4996i	0.577904	−	0.209180i
$99$	48.7371	−	6.66280i	0.492293	−	0.0673010i
$100$	−39.1553	+	32.6192i	−0.391553	+	0.326192i
$101$	7.81270	+	6.55563i	0.0773534	+	0.0649072i	0.680645	−	0.732614i	$-0.261700\pi$
$101$	7.81270	+	6.55563i	0.0773534	+	0.0649072i	−0.603291	+	0.797521i	$0.706144\pi$
$102$	64.2445	−	73.3618i	0.629848	−	0.719233i
$103$	14.2078	−	2.50522i	0.137940	−	0.0243226i	−0.104252	−	0.994551i	$-0.533245\pi$
$103$	14.2078	−	2.50522i	0.137940	−	0.0243226i	0.242192	+	0.970228i	$0.422134\pi$
$104$	−30.5914	−	179.059i	−0.294148	−	1.72172i
$105$	−87.1613	−	33.6462i	−0.830108	−	0.320440i
$106$	1.40910	+	8.07515i	0.0132934	+	0.0761807i
$107$		−	81.7160i		−	0.763701i	−0.924224	−	0.381851i	$-0.875287\pi$
$107$		−	81.7160i		−	0.763701i	0.924224	−	0.381851i	$-0.124713\pi$
$108$	−74.3783	+	78.3062i	−0.688688	+	0.725058i
$109$	−193.369			−1.77402			−0.887012	−	0.461747i	$-0.847223\pi$
$109$	−193.369			−1.77402			−0.887012	+	0.461747i	$0.847223\pi$
$110$	−37.7042	+	6.57932i	−0.342765	+	0.0598120i
$111$	29.7068	+	36.8261i	0.267628	+	0.331767i
$112$	−1.00973	+	142.311i	−0.00901544	+	1.27064i
$113$	0.255201	+	1.44731i	0.00225841	+	0.0128081i	0.985916	−	0.167240i	$-0.0534856\pi$
$113$	0.255201	+	1.44731i	0.00225841	+	0.0128081i	−0.983658	+	0.180049i	$0.942375\pi$
$114$	26.3128	−	132.776i	0.230814	−	1.16470i
$115$	77.6274	−	92.5128i	0.675021	−	0.804459i
$116$	−78.9763	+	65.7930i	−0.680830	+	0.567181i
$117$	204.208	+	7.89985i	1.74536	+	0.0675201i
$118$	19.3603	+	53.4870i	0.164070	+	0.453280i
$119$	142.365	+	25.1029i	1.19635	+	0.210949i
$120$	55.5854	−	63.0214i	0.463212	−	0.525178i
$121$	−85.6316	−	31.1674i	−0.707699	−	0.257581i
$122$	40.7696	−	70.3267i	0.334177	−	0.576448i
$123$	−155.443	−	30.5184i	−1.26376	−	0.248117i
$124$	−77.4268	−	45.0694i	−0.624410	−	0.363463i
$125$	66.0714	+	114.439i	0.528571	+	0.915512i
$126$	−156.419	−	34.1536i	−1.24142	−	0.271060i
$127$	136.000	+	78.5197i	1.07087	+	0.618266i	0.928418	−	0.371537i	$-0.121169\pi$
$127$	136.000	+	78.5197i	1.07087	+	0.618266i	0.142449	+	0.989802i	$0.454502\pi$
$128$	−119.728	−	45.2686i	−0.935374	−	0.353661i
$129$	29.2936	+	0.566406i	0.227082	+	0.00439074i
$130$	−159.008	−	0.282044i	−1.22314	−	0.00216957i
$131$	−32.6480	−	38.9084i	−0.249222	−	0.297011i	0.626901	−	0.779099i	$-0.284323\pi$
$131$	−32.6480	−	38.9084i	−0.249222	−	0.297011i	−0.876123	+	0.482088i	$0.839879\pi$
$132$	−62.1289	+	21.0162i	−0.470673	+	0.159214i
$133$	188.559	−	68.6300i	1.41774	−	0.516015i
$134$	−178.062	−	31.7230i	−1.32882	−	0.236738i
$135$	56.4667	+	75.8197i	0.418272	+	0.561628i
$136$	−65.6087	+	112.254i	−0.482417	+	0.825396i
$137$	83.6505	−	30.4463i	0.610588	−	0.222236i	−0.0181727	−	0.999835i	$-0.505785\pi$
$137$	83.6505	−	30.4463i	0.610588	−	0.222236i	0.628760	+	0.777599i	$0.283563\pi$
$138$	107.234	−	177.000i	0.777059	−	1.28261i
$139$	−44.4026	−	52.9170i	−0.319443	−	0.380698i	0.582297	−	0.812976i	$-0.302154\pi$
$139$	−44.4026	−	52.9170i	−0.319443	−	0.380698i	−0.901740	+	0.432279i	$0.857710\pi$
$140$	122.603	+	22.0670i	0.875738	+	0.157622i
$141$	36.1461	−	59.9018i	0.256355	−	0.424836i
$142$	−130.206	−	155.734i	−0.916945	−	1.09672i
$143$	107.479	+	62.0528i	0.751599	+	0.433936i
$144$	77.6294	−	121.283i	0.539093	−	0.842246i
$145$	44.9883	+	77.9220i	0.310264	+	0.537393i
$146$	−60.1108	−	21.9994i	−0.411718	−	0.150681i
$147$	−29.2530	−	85.4786i	−0.199000	−	0.581487i
$148$	−48.1824	−	40.7220i	−0.325557	−	0.275149i
$149$	−200.510	−	72.9797i	−1.34571	−	0.489797i	−0.434101	−	0.900864i	$-0.642934\pi$
$149$	−200.510	−	72.9797i	−1.34571	−	0.489797i	−0.911605	+	0.411067i	$0.865156\pi$
$150$	47.8900	+	59.5831i	0.319267	+	0.397220i
$151$	70.6394	+	12.4556i	0.467811	+	0.0824877i	0.402585	−	0.915383i	$-0.368112\pi$
$151$	70.6394	+	12.4556i	0.467811	+	0.0824877i	0.0652263	+	0.997870i	$0.479223\pi$
$152$	−0.960374	+	180.475i	−0.00631825	+	1.18733i
$153$	−108.334	−	98.2841i	−0.708063	−	0.642379i
$154$	−74.3711	−	62.6299i	−0.482929	−	0.406688i
$155$	−50.4077	+	60.0735i	−0.325211	+	0.387571i
$156$	−269.353	+	41.1641i	−1.72662	+	0.263872i
$157$	−45.4824	−	257.943i	−0.289697	−	1.64295i	−0.688009	−	0.725702i	$-0.741515\pi$
$157$	−45.4824	−	257.943i	−0.289697	−	1.64295i	0.398312	−	0.917250i	$-0.369596\pi$
$158$	43.8551	−	25.2161i	0.277564	−	0.159596i
$159$	12.1480	−	1.90065i	0.0764023	−	0.0119538i
$160$	−56.8799	+	96.5315i	−0.355499	+	0.603322i
$161$	306.791			1.90553
$162$	115.482	+	113.613i	0.712854	+	0.701313i
$163$		−	302.114i		−	1.85346i	−0.375725	−	0.926731i	$-0.622606\pi$
$163$		−	302.114i		−	1.85346i	0.375725	−	0.926731i	$-0.377394\pi$
$164$	211.212	+	0.749290i	1.28788	+	0.00456884i
$165$	8.87443	+	56.7208i	0.0537844	+	0.343762i
$166$	83.0659	−	47.7619i	0.500397	−	0.287722i
$167$	−111.528	+	19.6654i	−0.667833	+	0.117757i	−0.497278	−	0.867591i	$-0.665667\pi$
$167$	−111.528	+	19.6654i	−0.667833	+	0.117757i	−0.170555	+	0.985348i	$0.554556\pi$
$168$	213.407	+	5.26249i	1.27028	+	0.0313243i
$169$	265.506	+	222.786i	1.57104	+	1.31826i
$170$	87.0552	+	73.3115i	0.512089	+	0.431244i
$171$	−198.440	−	42.9601i	−1.16047	−	0.251229i
$172$	−38.4958	+	6.64713i	−0.223813	+	0.0386461i
$173$	−47.6724	+	270.364i	−0.275563	+	1.56280i	0.461605	+	0.887086i	$0.347274\pi$
$173$	−47.6724	+	270.364i	−0.275563	+	1.56280i	−0.737168	+	0.675710i	$0.763837\pi$
$174$	96.5942	+	120.179i	0.555139	+	0.690684i
$175$	−38.7588	+	106.489i	−0.221479	+	0.608509i
$176$	76.0419	−	43.1863i	0.432056	−	0.245377i
$177$	80.7280	−	27.6273i	0.456091	−	0.156086i
$178$	169.284	+	61.9547i	0.951035	+	0.348060i
$179$	−42.5533	+	24.5682i	−0.237728	+	0.137252i	−0.614132	−	0.789203i	$-0.710494\pi$
$179$	−42.5533	+	24.5682i	−0.237728	+	0.137252i	0.376404	+	0.926456i	$0.377160\pi$
$180$	−93.0535	−	85.0251i	−0.516964	−	0.472362i
$181$	−71.8830	+	124.505i	−0.397144	+	0.687873i	−0.993372	−	0.114942i	$-0.963332\pi$
$181$	−71.8830	+	124.505i	−0.397144	+	0.687873i	0.596229	+	0.802815i	$0.296665\pi$
$182$	−259.097	−	309.894i	−1.42361	−	1.70271i
$183$	−104.400	−	62.9973i	−0.570492	−	0.344247i
$184$	−95.7529	+	258.786i	−0.520396	+	1.40644i
$185$	−42.3020	+	35.4956i	−0.228660	+	0.191868i
$186$	−69.6329	+	114.935i	−0.374370	+	0.617932i
$187$	−30.3817	−	83.4731i	−0.162469	−	0.446380i
$188$	−32.2156	+	87.5441i	−0.171360	+	0.465660i
$189$	−55.3421	+	233.693i	−0.292815	+	1.23647i
$190$	155.529	+	27.7086i	0.818576	+	0.145835i
$191$	96.1293	+	264.113i	0.503295	+	1.38279i	0.888039	+	0.459768i	$0.152067\pi$
$191$	96.1293	+	264.113i	0.503295	+	1.38279i	−0.384744	+	0.923023i	$0.625710\pi$
$192$	−71.0458	+	178.372i	−0.370030	+	0.929020i
$193$	133.817	−	112.286i	0.693352	−	0.581791i	−0.226522	−	0.974006i	$-0.572735\pi$
$193$	133.817	−	112.286i	0.693352	−	0.581791i	0.919874	+	0.392215i	$0.128291\pi$
$194$	−296.854	−	0.526553i	−1.53018	−	0.00271419i
$195$	−4.61088	+	238.467i	−0.0236455	+	1.22291i
$196$	59.8600	+	104.535i	0.305408	+	0.533343i
$197$	75.0398	−	129.973i	0.380913	−	0.659761i	−0.610280	−	0.792186i	$-0.708943\pi$
$197$	75.0398	−	129.973i	0.380913	−	0.659761i	0.991193	+	0.132425i	$0.0422764\pi$
$198$	29.8831	+	93.7324i	0.150925	+	0.473396i
$199$	144.287	−	83.3043i	0.725062	−	0.418615i	−0.0915512	−	0.995800i	$-0.529183\pi$
$199$	144.287	−	83.3043i	0.725062	−	0.418615i	0.816613	+	0.577186i	$0.195849\pi$
$200$	−77.7290	−	65.9304i	−0.388645	−	0.329652i
$201$	−52.2668	+	266.217i	−0.260034	+	1.32446i
$202$	−10.2301	+	17.6466i	−0.0506439	+	0.0873596i
$203$	−78.1765	+	214.788i	−0.385106	+	1.05807i
$204$	166.627	+	101.354i	0.816798	+	0.496835i
$205$	32.1046	−	182.074i	0.156608	−	0.888167i
$206$	9.82054	+	27.1314i	0.0476725	+	0.131706i
$207$	−262.634	−	165.488i	−1.26876	−	0.799460i
$208$	342.270	−	121.833i	1.64553	−	0.585736i
$209$	−94.4548	−	79.2570i	−0.451937	−	0.379220i
$210$	36.3245	−	183.295i	0.172974	−	0.872835i
$211$	305.846	−	53.9289i	1.44951	−	0.255587i	0.607184	−	0.794561i	$-0.292299\pi$
$211$	305.846	−	53.9289i	1.44951	−	0.255587i	0.842323	+	0.538974i	$0.181188\pi$
$212$	−15.4254	+	5.55251i	−0.0727615	+	0.0261911i
$213$	−236.994	+	191.178i	−1.11265	+	0.897547i
$214$	160.999	−	28.0942i	0.752333	−	0.131281i
$215$			34.1954i			0.159049i
$216$	−179.853	−	119.620i	−0.832651	−	0.553798i
$217$	−199.216			−0.918046
$218$	−66.4805	−	380.980i	−0.304957	−	1.74762i
$219$	−34.5771	+	89.5729i	−0.157886	+	0.409008i
$220$	−25.9255	−	72.0238i	−0.117843	−	0.327381i
$221$	−64.0837	−	363.437i	−0.289971	−	1.64451i
$222$	−62.3426	+	71.1900i	−0.280823	+	0.320676i
$223$	12.9953	−	15.4873i	0.0582751	−	0.0694496i	−0.736119	−	0.676852i	$-0.763344\pi$
$223$	12.9953	−	15.4873i	0.0582751	−	0.0694496i	0.794395	+	0.607402i	$0.207788\pi$
$224$	−280.733	+	46.9375i	−1.25327	+	0.209542i
$225$	90.6221	−	70.2547i	0.402765	−	0.312243i
$226$	−2.76380	+	1.00039i	−0.0122292	+	0.00442652i
$227$	46.8151	+	8.25477i	0.206234	+	0.0363646i	0.275811	−	0.961212i	$-0.411054\pi$
$227$	46.8151	+	8.25477i	0.206234	+	0.0363646i	−0.0695767	+	0.997577i	$0.522165\pi$
$228$	270.645	+	6.19360i	1.18704	+	0.0271649i
$229$	66.3275	+	24.1412i	0.289640	+	0.105420i	0.482754	−	0.875756i	$-0.339637\pi$
$229$	66.3275	+	24.1412i	0.289640	+	0.105420i	−0.193114	+	0.981176i	$0.561859\pi$
$230$	208.960	+	121.138i	0.908521	+	0.526686i
$231$	−95.8891	+	109.890i	−0.415104	+	0.475714i
$232$	−156.779	−	132.982i	−0.675773	−	0.573196i
$233$	−191.622	−	331.898i	−0.822411	−	1.42446i	−0.903882	−	0.427781i	$-0.859295\pi$
$233$	−191.622	−	331.898i	−0.822411	−	1.42446i	0.0814716	−	0.996676i	$-0.474038\pi$
$234$	54.6425	+	405.051i	0.233515	+	1.73099i
$235$	70.7149	+	40.8272i	0.300914	+	0.173733i
$236$	−98.7255	+	56.5332i	−0.418328	+	0.239547i
$237$	−36.6633	−	66.4366i	−0.154698	−	0.280323i
$238$	−0.512840	+	289.123i	−0.00215479	+	1.21480i
$239$	220.713	+	263.036i	0.923486	+	1.10057i	0.994671	+	0.103104i	$0.0328775\pi$
$239$	220.713	+	263.036i	0.923486	+	1.10057i	−0.0711850	+	0.997463i	$0.522678\pi$
$240$	143.277	+	87.8491i	0.596987	+	0.366038i
$241$	−226.848	+	82.5658i	−0.941276	+	0.342597i	−0.766670	−	0.642042i	$-0.778088\pi$
$241$	−226.848	+	82.5658i	−0.941276	+	0.342597i	−0.174607	+	0.984638i	$0.555865\pi$
$242$	31.9665	−	179.429i	0.132093	−	0.741443i
$243$	173.434	−	170.204i	0.713721	−	0.700430i
$244$	152.576	+	56.1470i	0.625313	+	0.230111i
$245$	99.0848	−	36.0639i	0.404428	−	0.147200i
$246$	6.68658	−	316.750i	0.0271812	−	1.28760i
$247$	−329.271	−	392.410i	−1.33308	−	1.58871i
$248$	62.1775	−	168.043i	0.250716	−	0.677595i
$249$	−69.4440	−	125.838i	−0.278892	−	0.505372i
$250$	−202.756	+	169.520i	−0.811022	+	0.678081i
$251$	−36.5452	−	21.0994i	−0.145598	−	0.0840612i	0.425431	−	0.904991i	$-0.360122\pi$
$251$	−36.5452	−	21.0994i	−0.145598	−	0.0840612i	−0.571029	+	0.820930i	$0.693456\pi$
$252$	13.5131	−	319.923i	0.0536236	−	1.26954i
$253$	−94.2584	−	163.260i	−0.372563	−	0.645298i
$254$	−107.945	+	294.947i	−0.424979	+	1.16121i
$255$	112.243	−	128.632i	0.440169	−	0.504438i
$256$	48.0268	−	251.455i	0.187605	−	0.982245i
$257$	201.446	+	73.3205i	0.783838	+	0.285294i	0.702772	−	0.711415i	$-0.251945\pi$
$257$	201.446	+	73.3205i	0.783838	+	0.285294i	0.0810661	+	0.996709i	$0.474168\pi$
$258$	8.95526	+	57.9099i	0.0347103	+	0.224457i
$259$	−138.151	−	24.3597i	−0.533401	−	0.0940530i
$260$	−54.1115	−	313.379i	−0.208121	−	1.20530i
$261$	182.785	−	141.704i	0.700325	−	0.542926i
$262$	65.4340	−	77.7009i	0.249748	−	0.296568i
$263$	−68.4293	+	81.5508i	−0.260187	+	0.310079i	−0.880285	−	0.474446i	$-0.842649\pi$
$263$	−68.4293	+	81.5508i	−0.260187	+	0.310079i	0.620098	+	0.784525i	$0.287093\pi$
$264$	−62.7668	−	115.183i	−0.237753	−	0.436298i
$265$	2.49195	+	14.1326i	0.00940359	+	0.0533304i
$266$	200.044	+	347.910i	0.752045	+	1.30793i
$267$	97.3763	−	252.256i	0.364705	−	0.944777i
$268$	1.28326	−	361.730i	0.00478829	−	1.34974i
$269$	−443.421			−1.64841			−0.824203	−	0.566294i	$-0.808377\pi$
$269$	−443.421			−1.64841			−0.824203	+	0.566294i	$0.808377\pi$
$270$	−129.969	+	137.319i	−0.481366	+	0.508590i
$271$			315.051i			1.16255i	0.813707	+	0.581275i	$0.197446\pi$
$271$			315.051i			1.16255i	−0.813707	+	0.581275i	$0.802554\pi$
$272$	−243.722	−	90.6710i	−0.896037	−	0.333349i
$273$	−471.593	+	380.423i	−1.72745	+	1.39349i
$274$	88.7454	+	154.343i	0.323888	+	0.563296i
$275$	68.5769	−	12.0920i	0.249371	−	0.0439708i
$276$	385.597	+	150.423i	1.39709	+	0.545011i
$277$	123.961	+	104.016i	0.447514	+	0.375509i	0.838512	−	0.544883i	$-0.183426\pi$
$277$	123.961	+	104.016i	0.447514	+	0.375509i	−0.390999	+	0.920391i	$0.627870\pi$
$278$	88.9928	−	105.676i	0.320118	−	0.380130i
$279$	170.542	+	107.460i	0.611263	+	0.385163i
$280$	−1.32578	+	249.143i	−0.00473495	+	0.889797i
$281$	−72.5198	+	411.280i	−0.258078	+	1.46363i	0.529970	+	0.848016i	$0.322203\pi$
$281$	−72.5198	+	411.280i	−0.258078	+	1.46363i	−0.788048	+	0.615614i	$0.788908\pi$
$282$	130.447	+	50.6217i	0.462580	+	0.179509i
$283$	18.4189	−	50.6056i	0.0650845	−	0.178818i	−0.902887	−	0.429878i	$-0.858557\pi$
$283$	18.4189	−	50.6056i	0.0650845	−	0.178818i	0.967972	+	0.251059i	$0.0807789\pi$
$284$	262.066	−	310.078i	0.922768	−	1.09182i
$285$	45.6527	−	232.528i	0.160185	−	0.815889i
$286$	−85.3069	+	233.091i	−0.298276	+	0.815005i
$287$	406.745	−	234.835i	1.41723	−	0.818239i
$288$	265.645	+	111.250i	0.922379	+	0.386285i
$289$	12.4263	−	21.5230i	0.0429976	−	0.0744741i
$290$	−138.057	+	115.427i	−0.476059	+	0.398024i
$291$	−8.60812	+	445.199i	−0.0295812	+	1.52989i
$292$	22.6775	−	125.995i	0.0776628	−	0.431491i
$293$	−188.522	+	158.189i	−0.643419	+	0.539893i	−0.905066	−	0.425271i	$-0.860179\pi$
$293$	−188.522	+	158.189i	−0.643419	+	0.539893i	0.261647	+	0.965164i	$0.415734\pi$
$294$	158.355	−	87.0229i	0.538623	−	0.295996i
$295$	34.0596	+	93.5780i	0.115456	+	0.317214i
$296$	63.6664	−	108.931i	0.215089	−	0.368009i
$297$	141.364	−	42.3491i	0.475973	−	0.142590i
$298$	74.8509	−	420.142i	0.251178	−	1.40987i
$299$	−267.866	−	735.957i	−0.895874	−	2.46139i
$300$	−100.928	+	114.839i	−0.336425	+	0.382797i
$301$	−66.5453	+	55.8381i	−0.221081	+	0.185509i
$302$	−0.254463	+	143.458i	−0.000842592	+	0.475027i
$303$	26.1964	+	15.8075i	0.0864569	+	0.0521700i
$304$	−355.907	+	60.1554i	−1.17075	+	0.197880i
$305$	71.1558	−	123.245i	0.233298	−	0.404084i
$306$	156.397	−	247.232i	0.511100	−	0.807949i
$307$	237.614	−	137.186i	0.773987	−	0.446861i	−0.0603082	−	0.998180i	$-0.519208\pi$
$307$	237.614	−	137.186i	0.773987	−	0.446861i	0.834295	+	0.551318i	$0.185875\pi$
$308$	97.8262	−	168.060i	0.317618	−	0.545650i
$309$	40.9494	−	14.0140i	0.132522	−	0.0453527i
$310$	−135.689	−	78.6612i	−0.437706	−	0.253746i
$311$	−4.91549	+	13.5052i	−0.0158054	+	0.0434251i	−0.947344	−	0.320216i	$-0.896244\pi$
$311$	−4.91549	+	13.5052i	−0.0158054	+	0.0434251i	0.931539	+	0.363641i	$0.118467\pi$
$312$	−173.707	−	516.535i	−0.556752	−	1.65556i
$313$	3.07623	−	17.4462i	0.00982822	−	0.0557386i	−0.979499	−	0.201448i	$-0.935435\pi$
$313$	3.07623	−	17.4462i	0.00982822	−	0.0557386i	0.989327	+	0.145709i	$0.0465464\pi$
$314$	492.571	−	178.292i	1.56870	−	0.567810i
$315$	−273.944	−	59.3059i	−0.869663	−	0.188273i
$316$	64.7590	+	77.7352i	0.204934	+	0.245997i
$317$	20.5145	+	17.2137i	0.0647144	+	0.0543018i	0.674571	−	0.738210i	$-0.264329\pi$
$317$	20.5145	+	17.2137i	0.0647144	+	0.0543018i	−0.609857	+	0.792512i	$0.708773\pi$
$318$	7.92121	+	23.2808i	0.0249095	+	0.0732102i
$319$	138.320	−	24.3895i	0.433604	−	0.0764560i
$320$	−209.745	−	78.8787i	−0.655452	−	0.246496i
$321$	−37.8944	−	242.202i	−0.118051	−	0.754522i
$322$	105.475	+	604.448i	0.327563	+	1.87717i
$323$			366.653i			1.13515i
$324$	−184.140	+	266.587i	−0.568333	+	0.822799i
$325$	289.296			0.890143
$326$	595.234	−	103.868i	1.82587	−	0.318612i
$327$	−573.133	+	89.6713i	−1.75270	+	0.274224i
$328$	71.1390	+	416.394i	0.216887	+	1.26949i
$329$	36.0201	+	204.280i	0.109484	+	0.620913i
$330$	−108.702	+	36.9854i	−0.329400	+	0.112077i
$331$	−171.799	+	204.742i	−0.519031	+	0.618557i	−0.960351	−	0.278793i	$-0.910066\pi$
$331$	−171.799	+	204.742i	−0.519031	+	0.618557i	0.441320	+	0.897350i	$0.354510\pi$
$332$	122.660	+	147.238i	0.369458	+	0.443488i
$333$	105.127	+	95.3745i	0.315695	+	0.286410i
$334$	−77.0890	−	212.975i	−0.230805	−	0.637649i
$335$	−311.827	−	54.9835i	−0.930827	−	0.164130i
$336$	63.0016	+	422.270i	0.187505	+	1.25676i
$337$	−45.3861	−	16.5192i	−0.134677	−	0.0490184i	0.273802	−	0.961786i	$-0.411719\pi$
$337$	−45.3861	−	16.5192i	−0.134677	−	0.0490184i	−0.408479	+	0.912768i	$0.633941\pi$
$338$	−347.658	+	599.703i	−1.02858	+	1.77427i
$339$	1.42757	+	4.17141i	0.00421111	+	0.0123050i
$340$	−114.511	+	196.723i	−0.336796	+	0.578598i
$341$	61.2071	+	106.014i	0.179493	+	0.310891i
$342$	16.4171	−	405.742i	0.0480032	−	1.18638i
$343$	−145.470	−	83.9870i	−0.424110	−	0.244860i
$344$	−26.3313	−	73.5602i	−0.0765445	−	0.213838i
$345$	187.182	−	310.201i	0.542557	−	0.899133i
$346$	−549.068	−	0.973924i	−1.58690	−	0.00281481i
$347$	132.441	+	157.837i	0.381673	+	0.454860i	0.922342	−	0.386375i	$-0.126273\pi$
$347$	132.441	+	157.837i	0.381673	+	0.454860i	−0.540668	+	0.841236i	$0.681829\pi$
$348$	−203.571	+	231.630i	−0.584974	+	0.665605i
$349$	−154.612	+	56.2741i	−0.443013	+	0.161244i	−0.553889	−	0.832591i	$-0.686857\pi$
$349$	−154.612	+	56.2741i	−0.443013	+	0.161244i	0.110875	+	0.993834i	$0.464635\pi$
$350$	−223.133	−	39.7526i	−0.637523	−	0.113579i
$351$	608.923	−	71.2830i	1.73482	−	0.203086i
$352$	111.230	+	134.972i	0.315995	+	0.383444i
$353$	448.666	−	163.301i	1.27101	−	0.462609i	0.383560	−	0.923516i	$-0.374698\pi$
$353$	448.666	−	163.301i	1.27101	−	0.462609i	0.887449	+	0.460907i	$0.152476\pi$
$354$	82.1865	+	149.554i	0.232165	+	0.422470i
$355$	−228.432	−	272.234i	−0.643470	−	0.766857i
$356$	−63.8646	+	354.829i	−0.179395	+	0.996710i
$357$	433.604	+	8.38393i	1.21458	+	0.0234844i
$358$	−63.0349	−	75.3932i	−0.176075	−	0.210596i
$359$	−361.309	−	208.602i	−1.00643	−	0.581064i	−0.0962869	−	0.995354i	$-0.530697\pi$
$359$	−361.309	−	208.602i	−1.00643	−	0.581064i	−0.910145	+	0.414290i	$0.864030\pi$
$360$	135.527	−	212.568i	0.376464	−	0.590468i
$361$	73.9690	+	128.118i	0.204900	+	0.354898i
$362$	−270.017	−	98.8208i	−0.745903	−	0.272986i
$363$	−268.260	−	52.6681i	−0.739009	−	0.145091i
$364$	521.484	−	617.022i	1.43265	−	1.69511i
$365$	−105.302	−	38.3270i	−0.288500	−	0.105005i
$366$	88.2261	−	227.350i	0.241055	−	0.621176i
$367$	46.8441	+	8.25989i	0.127641	+	0.0225065i	0.237104	−	0.971484i	$-0.423802\pi$
$367$	46.8441	+	8.25989i	0.127641	+	0.0225065i	−0.109463	+	0.993991i	$0.534913\pi$
$368$	−542.787	−	99.6839i	−1.47496	−	0.270880i
$369$	−474.876	−	18.3707i	−1.28693	−	0.0497852i
$370$	−84.4780	−	71.1412i	−0.228319	−	0.192274i
$371$	−23.4332	+	27.9266i	−0.0631623	+	0.0752739i
$372$	−250.389	−	97.6777i	−0.673088	−	0.262574i
$373$	−3.14422	−	17.8318i	−0.00842956	−	0.0478064i	0.980303	−	0.197500i	$-0.0632823\pi$
$373$	−3.14422	−	17.8318i	−0.00842956	−	0.0478064i	−0.988732	+	0.149694i	$0.952171\pi$
$374$	154.016	−	88.5572i	0.411807	−	0.236784i
$375$	248.901	+	308.551i	0.663736	+	0.822803i
$376$	−183.558	−	33.3743i	−0.488185	−	0.0887613i
$377$	583.510			1.54777
$378$	−479.455	−	28.6926i	−1.26840	−	0.0759063i
$379$			492.502i			1.29948i	0.760157	+	0.649739i	$0.225122\pi$
$379$			492.502i			1.29948i	−0.760157	+	0.649739i	$0.774878\pi$
$380$	−1.12087	+	315.955i	−0.00294966	+	0.831460i
$381$	439.509	+	169.660i	1.15357	+	0.445302i
$382$	−487.314	+	280.199i	−1.27569	+	0.733506i
$383$	43.2067	−	7.61850i	0.112811	−	0.0198916i	−0.116958	−	0.993137i	$-0.537314\pi$
$383$	43.2067	−	7.61850i	0.112811	−	0.0198916i	0.229769	+	0.973245i	$0.426203\pi$
$384$	−375.859	−	78.6519i	−0.978799	−	0.204823i
$385$	−130.394	−	109.413i	−0.338685	−	0.284190i
$386$	267.235	+	225.046i	0.692319	+	0.583020i
$387$	87.0873	−	11.9056i	0.225032	−	0.0307639i
$388$	−101.022	−	585.052i	−0.260365	−	1.50786i
$389$	−43.7808	+	248.293i	−0.112547	+	0.638286i	0.875388	+	0.483420i	$0.160606\pi$
$389$	−43.7808	+	248.293i	−0.112547	+	0.638286i	−0.987936	+	0.154866i	$0.950505\pi$
$390$	−471.421	+	72.9011i	−1.20877	+	0.186926i
$391$	−191.729	+	526.771i	−0.490355	+	1.34724i
$392$	−185.378	+	153.877i	−0.472904	+	0.392544i
$393$	−114.810	−	100.182i	−0.292137	−	0.254917i
$394$	281.875	+	103.161i	0.715419	+	0.261829i
$395$	76.6975	−	44.2813i	0.194171	−	0.112105i
$396$	−174.400	+	91.1020i	−0.440405	+	0.230056i
$397$	62.6518	−	108.516i	0.157813	−	0.273340i	−0.776267	−	0.630405i	$-0.782889\pi$
$397$	62.6518	−	108.516i	0.157813	−	0.273340i	0.934080	+	0.357064i	$0.116222\pi$
$398$	213.735	+	255.639i	0.537022	+	0.642308i
$399$	527.053	−	290.857i	1.32094	−	0.728964i
$400$	103.175	−	175.811i	0.257936	−	0.439527i
$401$	390.899	−	328.004i	0.974812	−	0.817964i	−0.00848695	−	0.999964i	$-0.502702\pi$
$401$	390.899	−	328.004i	0.974812	−	0.817964i	0.983299	+	0.182000i	$0.0582571\pi$
$402$	−542.477	−	11.4517i	−1.34945	−	0.0284868i
$403$	173.940	+	477.896i	0.431613	+	1.18585i
$404$	−38.2850	−	14.0886i	−0.0947649	−	0.0348728i
$405$	202.524	+	198.540i	0.500060	+	0.490222i
$406$	−450.059	−	80.1810i	−1.10852	−	0.197490i
$407$	29.4823	+	81.0020i	0.0724381	+	0.199022i
$408$	−142.405	+	363.139i	−0.349031	+	0.890046i
$409$	−518.054	+	434.699i	−1.26664	+	1.06283i	−0.271694	+	0.962384i	$0.587584\pi$
$409$	−518.054	+	434.699i	−1.26664	+	1.06283i	−0.994942	+	0.100451i	$0.967972\pi$
$410$	369.766	+	0.655882i	0.901867	+	0.00159971i
$411$	233.816	−	129.033i	0.568896	−	0.313948i
$412$	−50.0787	+	28.6765i	−0.121550	+	0.0696032i
$413$	−126.489	+	219.085i	−0.306269	+	0.530473i
$414$	235.755	−	574.344i	0.569457	−	1.38731i
$415$	145.273	−	83.8732i	0.350055	−	0.202104i
$416$	357.712	+	632.464i	0.859885	+	1.52035i
$417$	−156.146	−	136.252i	−0.374451	−	0.326743i
$418$	123.681	−	213.346i	0.295887	−	0.510398i
$419$	13.5624	−	37.2623i	0.0323684	−	0.0889315i	−0.922456	−	0.386103i	$-0.873821\pi$
$419$	13.5624	−	37.2623i	0.0323684	−	0.0889315i	0.954824	+	0.297171i	$0.0960432\pi$
$420$	373.622	+	8.55019i	0.889577	+	0.0203576i
$421$	4.01215	−	22.7540i	0.00953005	−	0.0540476i	−0.979672	−	0.200607i	$-0.935709\pi$
$421$	4.01215	−	22.7540i	0.00953005	−	0.0540476i	0.989202	+	0.146559i	$0.0468198\pi$
$422$	211.403	+	584.046i	0.500954	+	1.38399i
$423$	79.3565	−	194.308i	0.187604	−	0.459356i
$424$	−16.2430	−	28.4827i	−0.0383090	−	0.0671761i
$425$	−158.623	−	133.100i	−0.373231	−	0.313178i
$426$	−458.143	−	401.205i	−1.07545	−	0.941797i
$427$	356.030	−	62.7777i	0.833794	−	0.147020i
$428$	110.704	+	307.547i	0.258654	+	0.718567i
$429$	347.336	+	134.080i	0.809642	+	0.312540i
$430$	−67.3728	+	11.7565i	−0.156681	+	0.0273406i
$431$		−	617.967i		−	1.43380i	−0.697177	−	0.716899i	$-0.745561\pi$
$431$		−	617.967i		−	1.43380i	0.697177	−	0.716899i	$-0.254439\pi$
$432$	173.846	−	395.476i	0.402421	−	0.915455i
$433$	135.919			0.313902			0.156951	−	0.987606i	$-0.449834\pi$
$433$	135.919			0.313902			0.156951	+	0.987606i	$0.449834\pi$
$434$	−68.4909	−	392.501i	−0.157813	−	0.904380i
$435$	169.478	+	210.094i	0.389604	+	0.482974i
$436$	727.762	−	261.964i	1.66918	−	0.600834i
$437$	135.119	+	766.296i	0.309196	+	1.75354i
$438$	−188.367	−	37.3295i	−0.430061	−	0.0852272i
$439$	−217.856	+	259.631i	−0.496255	+	0.591414i	−0.954797	−	0.297259i	$-0.903927\pi$
$439$	−217.856	+	259.631i	−0.496255	+	0.591414i	0.458542	+	0.888673i	$0.348372\pi$
$440$	132.990	−	75.8412i	0.302250	−	0.172366i
$441$	−126.344	−	239.788i	−0.286493	−	0.543737i
$442$	694.021	−	251.210i	1.57018	−	0.568348i
$443$	329.343	+	58.0721i	0.743439	+	0.131088i	0.532523	−	0.846416i	$-0.321244\pi$
$443$	329.343	+	58.0721i	0.743439	+	0.131088i	0.210916	+	0.977504i	$0.432355\pi$
$444$	−161.694	−	98.3539i	−0.364176	−	0.221518i
$445$	296.553	+	107.937i	0.666412	+	0.242554i
$446$	34.9812	+	20.2793i	0.0784333	+	0.0454692i
$447$	−628.144	−	123.325i	−1.40524	−	0.275894i
$448$	−188.994	−	536.970i	−0.421862	−	1.19859i
$449$	33.3868	+	57.8276i	0.0743581	+	0.128792i	0.900807	−	0.434220i	$-0.142976\pi$
$449$	33.3868	+	57.8276i	0.0743581	+	0.128792i	−0.826449	+	0.563012i	$0.809643\pi$
$450$	169.574	+	154.393i	0.376831	+	0.343095i
$451$	−249.937	−	144.301i	−0.554184	−	0.319958i
$452$	−2.92120	−	5.10138i	−0.00646284	−	0.0112862i
$453$	215.147	+	4.15997i	0.474939	+	0.00918316i
$454$	−0.168641	+	95.0745i	−0.000371456	+	0.209415i
$455$	−454.555	−	541.718i	−0.999022	−	1.19059i
$456$	80.8455	+	535.362i	0.177293	+	1.17404i
$457$	400.777	−	145.871i	0.876974	−	0.319192i	0.135986	−	0.990711i	$-0.456580\pi$
$457$	400.777	−	145.871i	0.876974	−	0.319192i	0.740988	+	0.671518i	$0.234358\pi$
$458$	−24.7602	+	138.980i	−0.0540616	+	0.303450i
$459$	−366.672	−	241.070i	−0.798850	−	0.525208i
$460$	−166.828	+	453.346i	−0.362670	+	0.985535i
$461$	−107.797	+	39.2350i	−0.233834	+	0.0851084i	−0.456279	−	0.889837i	$-0.650818\pi$
$461$	−107.797	+	39.2350i	−0.233834	+	0.0851084i	0.222446	+	0.974945i	$0.428596\pi$
$462$	−249.475	−	151.143i	−0.539989	−	0.327149i
$463$	−203.177	−	242.137i	−0.438827	−	0.522973i	0.500621	−	0.865667i	$-0.333105\pi$
$463$	−203.177	−	242.137i	−0.438827	−	0.522973i	−0.939447	+	0.342694i	$0.888661\pi$
$464$	208.103	−	354.611i	0.448498	−	0.764247i
$465$	−121.547	+	201.430i	−0.261392	+	0.433183i
$466$	588.036	−	491.646i	1.26188	−	1.05503i
$467$	368.289	+	212.632i	0.788627	+	0.455314i	0.839479	−	0.543392i	$-0.182860\pi$
$467$	368.289	+	212.632i	0.788627	+	0.455314i	−0.0508517	+	0.998706i	$0.516194\pi$
$468$	−779.258	+	246.916i	−1.66508	+	0.527598i
$469$	−402.186	−	696.607i	−0.857540	−	1.48530i
$470$	−56.1271	+	153.361i	−0.119419	+	0.326300i
$471$	−254.424	−	743.438i	−0.540178	−	1.57842i
$472$	−145.325	−	175.076i	−0.307893	−	0.370923i
$473$	50.1599	+	18.2567i	0.106046	+	0.0385977i
$474$	118.290	−	95.0762i	0.249558	−	0.200583i
$475$	−283.056	−	49.9105i	−0.595908	−	0.105075i
$476$	−569.814	+	98.3907i	−1.19709	+	0.206703i
$477$	35.1245	−	11.2668i	0.0736362	−	0.0236202i
$478$	−442.359	+	525.287i	−0.925436	+	1.09893i
$479$	100.261	−	119.487i	0.209314	−	0.249450i	−0.651166	−	0.758936i	$-0.725720\pi$
$479$	100.261	−	119.487i	0.209314	−	0.249450i	0.860479	+	0.509485i	$0.170164\pi$
$480$	−123.824	+	312.491i	−0.257966	+	0.651023i
$481$	62.1865	+	352.677i	0.129286	+	0.733217i
$482$	−240.664	−	418.555i	−0.499303	−	0.868372i
$483$	909.311	−	142.269i	1.88263	−	0.294553i
$484$	364.507	+	1.29311i	0.753113	+	0.00267172i
$485$	−519.696			−1.07154
$486$	394.969	+	283.189i	0.812693	+	0.582692i
$487$		−	545.789i		−	1.12072i	−0.828250	−	0.560359i	$-0.810663\pi$
$487$		−	545.789i		−	1.12072i	0.828250	−	0.560359i	$-0.189337\pi$
$488$	−58.1664	+	319.914i	−0.119193	+	0.655561i
$489$	−140.100	−	895.449i	−0.286504	−	1.83118i
$490$	105.120	+	182.821i	0.214530	+	0.373104i
$491$	−193.358	+	34.0942i	−0.393804	+	0.0694383i	−0.367044	−	0.930204i	$-0.619630\pi$
$491$	−193.358	+	34.0942i	−0.393804	+	0.0694383i	−0.0267601	+	0.999642i	$0.508519\pi$
$492$	626.369	−	95.7252i	1.27311	−	0.194563i
$493$	−319.942	−	268.464i	−0.648970	−	0.544551i
$494$	659.934	−	783.651i	1.33590	−	1.58634i
$495$	52.6066	+	164.002i	0.106276	+	0.331317i
$496$	352.461	+	64.7301i	0.710607	+	0.130504i
$497$	156.767	−	889.069i	0.315426	−	1.78887i
$498$	224.054	−	180.084i	0.449907	−	0.361614i
$499$	−329.193	+	904.449i	−0.659705	+	1.81252i	−0.0814345	+	0.996679i	$0.525950\pi$
$499$	−329.193	+	904.449i	−0.659705	+	1.81252i	−0.578270	+	0.815845i	$0.696272\pi$
$500$	−403.701	−	341.193i	−0.807402	−	0.682387i
$501$	−321.443	+	110.006i	−0.641604	+	0.219574i
$502$	29.0062	−	79.2563i	0.0577814	−	0.157881i
$503$	−379.909	+	219.340i	−0.755285	+	0.436064i	−0.827600	−	0.561318i	$-0.810295\pi$
$503$	−379.909	+	219.340i	−0.755285	+	0.436064i	0.0723150	+	0.997382i	$0.476961\pi$
$504$	634.967	−	83.3662i	1.25986	−	0.165409i
$505$	−17.8547	+	30.9252i	−0.0353558	+	0.0612380i
$506$	289.254	−	241.840i	0.571648	−	0.477945i
$507$	890.259	+	537.202i	1.75594	+	1.05957i
$508$	−618.224	−	111.272i	−1.21698	−	0.219040i
$509$	−193.632	+	162.477i	−0.380417	+	0.319208i	−0.812866	−	0.582450i	$-0.802094\pi$
$509$	−193.632	+	162.477i	−0.380417	+	0.319208i	0.432449	+	0.901658i	$0.357650\pi$
$510$	292.023	+	176.921i	0.572595	+	0.346903i
$511$	−97.3642	−	267.506i	−0.190537	−	0.523495i
$512$	511.935	+	8.17321i	0.999873	+	0.0159633i
$513$	−608.086	−	35.3081i	−1.18535	−	0.0688267i
$514$	−75.2004	+	422.103i	−0.146304	+	0.821213i
$515$	17.2768	+	47.4676i	0.0335472	+	0.0921701i
$516$	−111.017	+	37.5535i	−0.215149	+	0.0727780i
$517$	97.6420	−	81.9313i	0.188863	−	0.158475i
$518$	0.497658	−	280.564i	0.000960729	−	0.541629i
$519$	−15.9218	+	823.449i	−0.0306778	+	1.58661i
$520$	598.824	−	214.352i	1.15158	−	0.412216i
$521$	−364.963	+	632.134i	−0.700504	+	1.21331i	0.267785	+	0.963479i	$0.413708\pi$
$521$	−364.963	+	632.134i	−0.700504	+	1.21331i	−0.968290	+	0.249830i	$0.919625\pi$
$522$	342.030	+	311.410i	0.655231	+	0.596570i
$523$	−405.945	+	234.373i	−0.776186	+	0.448131i	−0.835077	−	0.550133i	$-0.814577\pi$
$523$	−405.945	+	234.373i	−0.776186	+	0.448131i	0.0588911	+	0.998264i	$0.481244\pi$
$524$	175.585	+	102.206i	0.335085	+	0.195050i
$525$	−65.4965	+	333.601i	−0.124755	+	0.635430i
$526$	−184.200	−	106.784i	−0.350190	−	0.203011i
$527$	124.500	−	342.061i	0.236243	−	0.649071i
$528$	205.357	−	163.265i	0.388933	−	0.309214i
$529$	−114.724	+	650.630i	−0.216869	+	1.22992i
$530$	−26.9876	+	9.76851i	−0.0509200	+	0.0184312i
$531$	226.462	−	119.322i	0.426481	−	0.224712i
$532$	−616.687	+	513.745i	−1.15919	+	0.965685i
$533$	−918.481	−	770.697i	−1.72323	−	1.44596i
$534$	530.479	+	105.128i	0.993407	+	0.196868i
$535$	281.769	−	49.6836i	0.526672	−	0.0928665i
$536$	713.132	−	121.835i	1.33047	−	0.227304i
$537$	−114.733	+	92.5521i	−0.213655	+	0.172350i
$538$	−152.449	−	873.641i	−0.283363	−	1.62387i
$539$		−	164.598i		−	0.305376i
$540$	−315.234	−	208.858i	−0.583767	−	0.386773i
$541$	578.608			1.06952			0.534758	−	0.845005i	$-0.320403\pi$
$541$	578.608			1.06952			0.534758	+	0.845005i	$0.320403\pi$
$542$	−620.723	+	108.315i	−1.14524	+	0.199844i
$543$	−155.320	+	402.360i	−0.286041	+	0.740995i
$544$	94.8504	−	511.361i	0.174357	−	0.940002i
$545$	−117.569	−	666.765i	−0.215722	−	1.22342i
$546$	−911.655	−	798.356i	−1.66970	−	1.46219i
$547$	163.148	−	194.432i	0.298259	−	0.355451i	−0.596013	−	0.802975i	$-0.703249\pi$
$547$	163.148	−	194.432i	0.298259	−	0.355451i	0.894272	+	0.447524i	$0.147694\pi$
$548$	−273.580	+	227.912i	−0.499234	+	0.415898i
$549$	−338.650	−	138.307i	−0.616848	−	0.251924i
$550$	47.4008	+	130.955i	0.0861833	+	0.238100i
$551$	−570.924	−	100.669i	−1.03616	−	0.182703i
$552$	−163.798	+	811.430i	−0.296736	+	1.46998i
$553$	211.413	+	76.9480i	0.382302	+	0.139146i
$554$	−162.317	+	279.993i	−0.292991	+	0.505402i
$555$	−108.920	+	124.824i	−0.196253	+	0.224908i
$556$	238.802	+	139.004i	0.429500	+	0.250008i
$557$	65.6464	+	113.703i	0.117857	+	0.204135i	0.918918	−	0.394448i	$-0.129064\pi$
$557$	65.6464	+	113.703i	0.117857	+	0.204135i	−0.801061	+	0.598583i	$0.795731\pi$
$558$	−153.089	+	372.953i	−0.274352	+	0.668374i
$559$	192.052	+	110.881i	0.343563	+	0.198356i
$560$	−491.325	+	83.0439i	−0.877366	+	0.148293i
$561$	−128.759	−	233.320i	−0.229517	−	0.415901i
$562$	−835.249	−	1.48155i	−1.48621	−	0.00263620i
$563$	−233.686	−	278.496i	−0.415072	−	0.494664i	0.517482	−	0.855694i	$-0.326870\pi$
$563$	−233.686	−	278.496i	−0.415072	−	0.494664i	−0.932554	+	0.361030i	$0.882425\pi$
$564$	−54.8881	+	274.415i	−0.0973194	+	0.486552i
$565$	−4.83540	+	1.75994i	−0.00855823	+	0.00311494i
$566$	106.037	+	18.8912i	0.187344	+	0.0333766i
$567$	−55.6599	+	718.315i	−0.0981656	+	1.26687i
$568$	701.023	+	409.725i	1.23419	+	0.721347i
$569$	−285.161	+	103.790i	−0.501161	+	0.182408i	−0.580216	−	0.814463i	$-0.697032\pi$
$569$	−285.161	+	103.790i	−0.501161	+	0.182408i	0.0790551	+	0.996870i	$0.474810\pi$
$570$	473.829	+	10.0025i	0.831280	+	0.0175483i
$571$	186.268	+	221.985i	0.326213	+	0.388765i	0.904078	−	0.427367i	$-0.140559\pi$
$571$	186.268	+	221.985i	0.326213	+	0.388765i	−0.577866	+	0.816132i	$0.696114\pi$
$572$	−488.572	−	87.9367i	−0.854147	−	0.153735i
$573$	407.400	+	738.238i	0.710994	+	1.28837i
$574$	602.518	+	720.645i	1.04968	+	1.25548i
$575$	−380.568	−	219.721i	−0.661857	−	0.382124i
$576$	−127.859	+	561.630i	−0.221977	+	0.975052i
$577$	493.417	+	854.624i	0.855143	+	1.48115i	0.876512	+	0.481379i	$0.159864\pi$
$577$	493.417	+	854.624i	0.855143	+	1.48115i	−0.0213695	+	0.999772i	$0.506803\pi$
$578$	46.6774	+	17.0830i	0.0807568	+	0.0295554i
$579$	344.555	−	394.864i	0.595087	−	0.681975i
$580$	−274.882	−	232.320i	−0.473934	−	0.400552i
$581$	400.437	+	145.747i	0.689220	+	0.250856i
$582$	−880.103	+	136.100i	−1.51220	+	0.233849i
$583$	22.0609	+	3.88993i	0.0378403	+	0.00667227i
$584$	256.036	+	1.36247i	0.438418	+	0.00233299i
$585$	96.9188	+	708.942i	0.165673	+	1.21187i
$586$	−376.482	−	317.045i	−0.642460	−	0.541033i
$587$	−183.011	+	218.104i	−0.311773	+	0.371557i	−0.899062	−	0.437820i	$-0.855751\pi$
$587$	−183.011	+	218.104i	−0.311773	+	0.371557i	0.587289	+	0.809377i	$0.300195\pi$
$588$	225.898	+	282.077i	0.384180	+	0.479723i
$589$	−87.7398	−	497.597i	−0.148964	−	0.844817i
$590$	−172.660	+	99.2775i	−0.292645	+	0.168267i
$591$	162.141	−	420.030i	0.274350	−	0.710711i
$592$	236.507	+	87.9868i	0.399505	+	0.148626i
$593$	−669.113			−1.12835			−0.564176	−	0.825654i	$-0.690806\pi$
$593$	−669.113			−1.12835			−0.564176	+	0.825654i	$0.690806\pi$
$594$	132.039	+	263.960i	0.222287	+	0.444377i
$595$			506.161i			0.850690i
$596$	853.509	+	3.02788i	1.43206	+	0.00508033i
$597$	389.028	−	313.820i	0.651638	−	0.525661i
$598$	1357.91	−	780.782i	2.27075	−	1.30565i
$599$	363.236	−	64.0483i	0.606404	−	0.106925i	0.137989	−	0.990434i	$-0.455936\pi$
$599$	363.236	−	64.0483i	0.606404	−	0.106925i	0.468415	+	0.883508i	$0.344825\pi$
$600$	−260.958	−	159.368i	−0.434931	−	0.265614i
$601$	−489.063	−	410.373i	−0.813750	−	0.682817i	0.137750	−	0.990467i	$-0.456013\pi$
$601$	−489.063	−	410.373i	−0.813750	−	0.682817i	−0.951500	+	0.307650i	$0.900457\pi$
$602$	−132.892	−	111.912i	−0.220751	−	0.185901i
$603$	−31.4624	+	813.289i	−0.0521764	+	1.34874i
$604$	−282.733	+	48.8199i	−0.468101	+	0.0808276i
$605$	55.4056	−	314.221i	0.0915795	−	0.519373i
$606$	−22.1380	+	57.0476i	−0.0365314	+	0.0941380i
$607$	−38.7649	+	106.506i	−0.0638631	+	0.175463i	−0.967520	−	0.252795i	$-0.918650\pi$
$607$	−38.7649	+	106.506i	−0.0638631	+	0.175463i	0.903657	+	0.428258i	$0.140872\pi$
$608$	−240.881	−	680.536i	−0.396186	−	1.11930i
$609$	−132.106	+	672.873i	−0.216923	+	1.10488i
$610$	267.285	+	97.8212i	0.438173	+	0.160363i
$611$	458.595	−	264.770i	0.750565	−	0.433339i
$612$	540.874	+	223.138i	0.883781	+	0.364605i
$613$	132.437	−	229.387i	0.216047	−	0.374204i	−0.737549	−	0.675294i	$-0.764017\pi$
$613$	132.437	−	229.387i	0.216047	−	0.374204i	0.953596	+	0.301089i	$0.0973502\pi$
$614$	351.981	+	420.989i	0.573259	+	0.685649i
$615$	10.7224	−	554.546i	0.0174348	−	0.901700i
$616$	364.750	+	134.961i	0.592127	+	0.219092i
$617$	616.167	−	517.025i	0.998649	−	0.837966i	0.0118524	−	0.999930i	$-0.496227\pi$
$617$	616.167	−	517.025i	0.998649	−	0.837966i	0.986797	+	0.161964i	$0.0517827\pi$
$618$	41.6892	+	75.8617i	0.0674583	+	0.122754i
$619$	−266.035	−	730.924i	−0.429781	−	1.18081i	−0.945946	−	0.324325i	$-0.894863\pi$
$619$	−266.035	−	730.924i	−0.429781	−	1.18081i	0.516164	−	0.856490i	$-0.327359\pi$
$620$	108.330	−	294.382i	0.174727	−	0.474809i
$621$	−855.174	−	368.705i	−1.37709	−	0.593728i
$622$	−28.2983	−	5.04152i	−0.0454956	−	0.00810534i
$623$	274.198	+	753.352i	0.440125	+	1.20923i
$624$	957.971	−	519.828i	1.53521	−	0.833057i
$625$	−110.436	+	92.6665i	−0.176697	+	0.148266i
$626$	35.4306	+	0.0628460i	0.0565984	+	0.000100393i
$627$	−316.713	−	191.111i	−0.505124	−	0.304803i
$628$	520.623	+	909.179i	0.829018	+	1.44774i
$629$	128.164	−	221.986i	0.203758	−	0.352919i
$630$	22.6636	−	560.122i	0.0359740	−	0.889082i
$631$	−56.8376	+	32.8152i	−0.0900754	+	0.0520051i	−0.544361	−	0.838851i	$-0.683228\pi$
$631$	−56.8376	+	32.8152i	−0.0900754	+	0.0520051i	0.454286	+	0.890856i	$0.349895\pi$
$632$	−130.892	+	154.316i	−0.207107	+	0.244170i
$633$	881.501	−	301.673i	1.39258	−	0.476576i
$634$	−26.8619	+	46.3363i	−0.0423690	+	0.0730856i
$635$	−188.060	+	516.690i	−0.296157	+	0.813684i
$636$	−43.1452	+	23.6106i	−0.0678384	+	0.0371236i
$637$	118.744	−	673.429i	0.186411	−	1.05719i
$638$	95.6074	+	264.136i	0.149855	+	0.414006i
$639$	−613.782	+	676.541i	−0.960535	+	1.05875i
$640$	83.2983	−	440.363i	0.130154	−	0.688068i
$641$	593.381	+	497.905i	0.925711	+	0.776764i	0.975042	−	0.222019i	$-0.0712647\pi$
$641$	593.381	+	497.905i	0.925711	+	0.776764i	−0.0493316	+	0.998782i	$0.515709\pi$
$642$	464.164	−	157.930i	0.722997	−	0.245997i
$643$	1077.13	−	189.927i	1.67516	−	0.295376i	0.746247	−	0.665670i	$-0.231854\pi$
$643$	1077.13	−	189.927i	1.67516	−	0.295376i	0.928915	+	0.370293i	$0.120743\pi$
$644$	−1154.64	+	415.621i	−1.79292	+	0.645375i
$645$	15.8575	+	101.353i	0.0245853	+	0.157137i
$646$	−722.391	+	126.056i	−1.11825	+	0.195133i
$647$			1076.11i			1.66323i	0.555356	+	0.831613i	$0.312582\pi$
$647$			1076.11i			1.66323i	−0.555356	+	0.831613i	$0.687418\pi$
$648$	−588.544	−	271.145i	−0.908248	−	0.418433i
$649$	155.450			0.239522
$650$	99.4607	+	569.980i	0.153016	+	0.876892i
$651$	−590.464	+	92.3829i	−0.907011	+	0.141909i
$652$	409.286	+	1137.04i	0.627739	+	1.74392i
$653$	−44.4135	−	251.881i	−0.0680145	−	0.385729i	−0.999745	−	0.0225791i	$-0.992812\pi$
$653$	−44.4135	−	251.881i	−0.0680145	−	0.385729i	0.931731	−	0.363150i	$-0.118299\pi$
$654$	−373.717	−	1098.37i	−0.571433	−	1.67947i
$655$	114.312	−	136.232i	0.174522	−	0.207987i
$656$	−795.934	+	283.317i	−1.21331	+	0.431886i
$657$	−60.9467	+	281.523i	−0.0927652	+	0.428498i
$658$	−390.095	+	141.200i	−0.592850	+	0.214589i
$659$	672.381	+	118.559i	1.02030	+	0.179907i	0.658685	−	0.752418i	$-0.271113\pi$
$659$	672.381	+	118.559i	1.02030	+	0.179907i	0.361620	+	0.932326i	$0.382224\pi$
$660$	−110.242	−	201.452i	−0.167033	−	0.305230i
$661$	−296.947	−	108.080i	−0.449239	−	0.163510i	0.107486	−	0.994207i	$-0.465720\pi$
$661$	−296.947	−	108.080i	−0.449239	−	0.163510i	−0.556725	+	0.830697i	$0.687942\pi$
$662$	−462.454	−	268.093i	−0.698571	−	0.404974i
$663$	−358.478	−	1047.49i	−0.540690	−	1.57992i
$664$	−247.922	+	292.289i	−0.373376	+	0.440194i
$665$	351.291	+	608.455i	0.528258	+	0.914969i
$666$	−151.767	+	239.913i	−0.227878	+	0.360230i
$667$	−767.605	−	443.177i	−1.15083	−	0.664433i
$668$	393.106	−	225.104i	0.588482	−	0.336982i
$669$	31.3355	−	51.9297i	0.0468393	−	0.0776228i
$670$	1.12329	−	633.274i	0.00167655	−	0.945185i
$671$	−142.794	−	170.175i	−0.212808	−	0.253615i
$672$	−810.309	+	269.305i	−1.20582	+	0.400751i
$673$	−161.836	+	58.9034i	−0.240469	+	0.0875236i	−0.459444	−	0.888207i	$-0.651951\pi$
$673$	−161.836	+	58.9034i	−0.240469	+	0.0875236i	0.218974	+	0.975731i	$0.429729\pi$
$674$	16.9427	−	95.1003i	0.0251376	−	0.141098i
$675$	236.019	−	250.255i	0.349658	−	0.370749i
$676$	−1301.08	−	478.787i	−1.92467	−	0.708265i
$677$	−723.236	+	263.236i	−1.06829	+	0.388828i	−0.815539	−	0.578702i	$-0.803559\pi$
$677$	−723.236	+	263.236i	−1.06829	+	0.388828i	−0.252756	+	0.967530i	$0.581337\pi$
$678$	−7.72783	+	4.24677i	−0.0113980	+	0.00626367i
$679$	−848.616	−	1011.34i	−1.24980	−	1.48946i
$680$	−426.959	−	157.978i	−0.627881	−	0.232321i
$681$	142.585	+	2.75695i	0.209376	+	0.00404839i
$682$	−187.828	+	157.040i	−0.275408	+	0.230263i
$683$	534.500	+	308.594i	0.782577	+	0.451821i	0.837343	−	0.546678i	$-0.184108\pi$
$683$	534.500	+	308.594i	0.782577	+	0.451821i	−0.0547656	+	0.998499i	$0.517441\pi$
$684$	805.048	−	107.149i	1.17697	−	0.156651i
$685$	155.843	+	269.928i	0.227508	+	0.394056i
$686$	115.461	−	315.483i	0.168310	−	0.459888i
$687$	207.786	+	40.7950i	0.302454	+	0.0593813i
$688$	135.878	−	77.1688i	0.197497	−	0.112164i
$689$	87.4528	+	31.8302i	0.126927	+	0.0461977i
$690$	675.520	+	262.144i	0.979015	+	0.379918i
$691$	1107.65	+	195.308i	1.60296	+	0.282645i	0.902384	−	0.430933i	$-0.141815\pi$
$691$	1107.65	+	195.308i	1.60296	+	0.282645i	0.700576	+	0.713578i	$0.252926\pi$
$692$	−186.852	−	1082.12i	−0.270017	−	1.56376i
$693$	−233.250	+	370.174i	−0.336580	+	0.534162i
$694$	−265.441	+	315.203i	−0.382479	+	0.454183i
$695$	155.469	−	185.281i	0.223696	−	0.266591i
$696$	−526.353	−	321.446i	−0.756254	−	0.461848i
$697$	149.024	+	845.156i	0.213807	+	1.21256i
$698$	−164.029	−	285.273i	−0.234998	−	0.408701i
$699$	−721.868	−	894.867i	−1.03271	−	1.28021i
$700$	1.60808	−	453.290i	0.00229725	−	0.647557i
$701$	368.048			0.525032			0.262516	−	0.964928i	$-0.415448\pi$
$701$	368.048			0.525032			0.262516	+	0.964928i	$0.415448\pi$
$702$	349.793	+	1175.21i	0.498280	+	1.67409i
$703$		−	355.799i		−	0.506115i
$704$	−227.685	+	265.553i	−0.323416	+	0.377206i
$705$	228.528	+	88.2168i	0.324153	+	0.125130i
$706$	475.993	+	827.831i	0.674211	+	1.17257i
$707$	−89.3364	+	15.7524i	−0.126360	+	0.0222806i
$708$	−266.400	+	213.343i	−0.376272	+	0.301332i
$709$	−565.166	−	474.230i	−0.797131	−	0.668872i	0.150369	−	0.988630i	$-0.451954\pi$
$709$	−565.166	−	474.230i	−0.797131	−	0.668872i	−0.947499	+	0.319758i	$0.896398\pi$
$710$	457.829	−	543.658i	0.644829	−	0.765715i
$711$	−139.477	−	179.912i	−0.196170	−	0.253041i
$712$	−721.051	−	3.83698i	−1.01271	−	0.00538902i
$713$	134.146	−	760.778i	0.188143	−	1.06701i
$714$	132.556	+	857.181i	0.185652	+	1.20053i
$715$	−148.620	+	408.331i	−0.207861	+	0.571092i
$716$	126.870	−	150.113i	0.177193	−	0.209656i
$717$	776.159	+	677.270i	1.08251	+	0.944589i
$718$	286.775	−	783.579i	0.399407	−	1.09134i
$719$	−1138.67	+	657.410i	−1.58368	+	0.914340i	−0.589367	+	0.807865i	$0.700623\pi$
$719$	−1138.67	+	657.410i	−1.58368	+	0.914340i	−0.994315	+	0.106475i	$0.966044\pi$
$720$	465.403	+	193.937i	0.646393	+	0.269358i
$721$	−64.1618	+	111.131i	−0.0889900	+	0.154135i
$722$	−226.991	+	189.783i	−0.314392	+	0.262857i
$723$	−634.075	+	349.917i	−0.877005	+	0.483979i
$724$	101.867	−	565.970i	0.140701	−	0.781726i
$725$	250.806	−	210.451i	0.345939	−	0.290277i
$726$	11.5396	−	546.642i	0.0158947	−	0.752950i
$727$	64.9919	+	178.564i	0.0893974	+	0.245617i	0.976332	−	0.216278i	$-0.0693918\pi$
$727$	64.9919	+	178.564i	0.0893974	+	0.245617i	−0.886934	+	0.461895i	$0.847170\pi$
$728$	1394.96	+	815.309i	1.91616	+	1.11993i
$729$	435.120	−	584.903i	0.596872	−	0.802336i
$730$	39.3097	−	220.647i	0.0538489	−	0.302256i
$731$	−54.2885	−	149.156i	−0.0742661	−	0.204044i
$732$	478.265	+	95.6619i	0.653367	+	0.130686i
$733$	42.1532	−	35.3708i	0.0575078	−	0.0482548i	−0.613581	−	0.789632i	$-0.710271\pi$
$733$	42.1532	−	35.3708i	0.0575078	−	0.0482548i	0.671089	+	0.741377i	$0.265827\pi$
$734$	−0.168746	+	95.1334i	−0.000229899	+	0.129610i
$735$	276.958	−	152.840i	0.376813	−	0.207946i
$736$	9.78871	−	1103.69i	0.0132999	−	1.49957i
$737$	−247.135	+	428.051i	−0.335326	+	0.580802i
$738$	−127.069	−	941.929i	−0.172180	−	1.27633i
$739$	190.459	−	109.961i	0.257725	−	0.148798i	−0.365571	−	0.930783i	$-0.619126\pi$
$739$	190.459	−	109.961i	0.257725	−	0.148798i	0.623296	+	0.781986i	$0.285793\pi$
$740$	111.121	−	190.899i	0.150163	−	0.257972i
$741$	−1157.91	−	1010.39i	−1.56264	−	1.36355i
$742$	−63.0782	−	36.5675i	−0.0850110	−	0.0492824i
$743$	324.288	−	890.974i	0.436458	−	1.19916i	−0.505323	−	0.862930i	$-0.668627\pi$
$743$	324.288	−	890.974i	0.436458	−	1.19916i	0.941781	−	0.336228i	$-0.109151\pi$
$744$	106.363	−	526.905i	0.142961	−	0.708206i
$745$	129.735	−	735.762i	0.174140	−	0.987600i
$746$	34.0517	−	12.3254i	0.0456457	−	0.0165220i
$747$	−264.183	−	340.772i	−0.353659	−	0.456187i
$748$	227.429	+	273.000i	0.304049	+	0.364973i
$749$	556.790	+	467.202i	0.743378	+	0.623768i
$750$	−522.344	+	596.472i	−0.696458	+	0.795296i
$751$	462.740	−	81.5936i	0.616166	−	0.108647i	0.143150	−	0.989701i	$-0.454277\pi$
$751$	462.740	−	81.5936i	0.616166	−	0.108647i	0.473015	+	0.881054i	$0.343166\pi$
$752$	2.64740	−	373.125i	0.00352048	−	0.496176i
$753$	−118.102	−	45.5901i	−0.156842	−	0.0605446i
$754$	200.612	+	1149.65i	0.266064	+	1.52473i
$755$			251.149i			0.332647i
$756$	−108.307	−	954.500i	−0.143263	−	1.26257i
$757$	503.693			0.665380			0.332690	−	0.943036i	$-0.392044\pi$
$757$	503.693			0.665380			0.332690	+	0.943036i	$0.392044\pi$
$758$	−970.342	+	169.323i	−1.28013	+	0.223382i
$759$	−355.086	−	440.184i	−0.467834	−	0.579952i
$760$	−622.888	+	106.418i	−0.819590	+	0.140023i
$761$	223.541	+	1267.76i	0.293746	+	1.66592i	0.672255	+	0.740320i	$0.265326\pi$
$761$	223.541	+	1267.76i	0.293746	+	1.66592i	−0.378509	+	0.925598i	$0.623563\pi$
$762$	−183.165	+	924.262i	−0.240374	+	1.21294i
$763$	1105.56	−	1317.56i	1.44897	−	1.72681i
$764$	−719.596	−	863.786i	−0.941880	−	1.13061i
$765$	273.031	−	433.308i	0.356904	−	0.566416i
$766$	29.8647	+	82.5077i	0.0389879	+	0.107712i
$767$	636.002	+	112.144i	0.829207	+	0.146212i
$768$	25.7410	−	767.568i	0.0335170	−	0.999438i
$769$	1172.81	+	426.869i	1.52511	+	0.555096i	0.962419	−	0.271569i	$-0.0875425\pi$
$769$	1172.81	+	426.869i	1.52511	+	0.555096i	0.562695	+	0.826665i	$0.309765\pi$
$770$	170.740	−	294.522i	0.221740	−	0.382496i
$771$	631.077	+	123.900i	0.818517	+	0.160701i
$772$	−351.516	+	603.886i	−0.455331	+	0.782235i
$773$	−192.043	−	332.627i	−0.248438	−	0.430307i	0.714655	−	0.699477i	$-0.246584\pi$
$773$	−192.043	−	332.627i	−0.248438	−	0.430307i	−0.963093	+	0.269170i	$0.913251\pi$
$774$	53.3976	+	167.489i	0.0689891	+	0.216394i
$775$	247.123	+	142.677i	0.318869	+	0.184099i
$776$	1117.95	−	400.178i	1.44066	−	0.515693i
$777$	−420.768	−	8.13574i	−0.541529	−	0.0104707i
$778$	−504.246	−	0.894421i	−0.648132	−	0.00114964i
$779$	765.706	+	912.533i	0.982934	+	1.17142i
$780$	−305.707	−	903.743i	−0.391932	−	1.15864i
$781$	−521.288	+	189.733i	−0.667462	+	0.242936i
$782$	−1103.78	−	196.645i	−1.41148	−	0.251464i
$783$	476.051	−	504.765i	0.607983	−	0.644655i
$784$	−366.907	−	312.334i	−0.467993	−	0.398385i
$785$	861.775	−	313.661i	1.09780	−	0.399568i
$786$	157.910	−	260.645i	0.200903	−	0.331609i
$787$	446.143	+	531.692i	0.566890	+	0.675594i	0.970990	−	0.239121i	$-0.0768594\pi$
$787$	446.143	+	531.692i	0.566890	+	0.675594i	−0.404099	+	0.914715i	$0.632415\pi$
$788$	−106.341	+	590.825i	−0.134950	+	0.749778i
$789$	−165.003	+	273.445i	−0.209129	+	0.346571i
$790$	113.613	+	135.888i	0.143814	+	0.172010i
$791$	−11.3207	−	6.53599i	−0.0143118	−	0.00826294i
$792$	−239.451	−	312.288i	−0.302337	−	0.394303i
$793$	−461.455	−	799.263i	−0.581910	−	1.00790i
$794$	235.341	+	86.1302i	0.296400	+	0.108476i
$795$	13.9397	+	40.7325i	0.0175342	+	0.0512358i
$796$	−430.184	+	508.995i	−0.540432	+	0.639441i
$797$	1135.48	+	413.283i	1.42470	+	0.518548i	0.935407	−	0.353573i	$-0.115033\pi$
$797$	1135.48	+	413.283i	1.42470	+	0.518548i	0.489291	+	0.872120i	$0.337256\pi$
$798$	754.256	+	938.418i	0.945183	+	1.17596i
$799$	−373.267	−	65.8170i	−0.467168	−	0.0823743i
$800$	381.859	+	142.833i	0.477324	+	0.178542i
$801$	171.638	−	792.827i	0.214280	−	0.989797i
$802$	780.634	+	657.393i	0.973359	+	0.819692i
$803$	−112.441	+	134.001i	−0.140026	+	0.166876i
$804$	−163.942	−	1072.74i	−0.203909	−	1.33426i
$805$	186.530	+	1057.86i	0.231714	+	1.31411i
$806$	−881.764	+	507.004i	−1.09400	+	0.629037i
$807$	−1314.28	+	205.629i	−1.62859	+	0.254807i
$808$	14.5953	−	80.2739i	0.0180635	−	0.0993489i
$809$	−270.237			−0.334038			−0.167019	−	0.985954i	$-0.553414\pi$
$809$	−270.237			−0.334038			−0.167019	+	0.985954i	$0.553414\pi$
$810$	−321.540	+	467.277i	−0.396964	+	0.576886i
$811$		−	207.241i		−	0.255538i	−0.991804	−	0.127769i	$-0.959218\pi$
$811$		−	207.241i		−	0.255538i	0.991804	−	0.127769i	$-0.0407816\pi$
$812$	3.24349	−	914.286i	0.00399444	−	1.12597i
$813$	146.100	+	933.793i	0.179704	+	1.14858i
$814$	−149.456	+	85.9355i	−0.183607	+	0.105572i
$815$	1041.74	−	183.686i	1.27820	−	0.225382i
$816$	−764.425	−	155.722i	−0.936796	−	0.190835i
$817$	−168.779	−	141.623i	−0.206584	−	0.173345i
$818$	−1034.56	−	871.235i	−1.26475	−	1.06508i
$819$	−1221.36	+	1346.25i	−1.49128	+	1.64377i
$820$	125.834	+	728.748i	0.153456	+	0.888717i
$821$	176.322	−	999.970i	0.214765	−	1.21799i	−0.666550	−	0.745460i	$-0.732230\pi$
$821$	176.322	−	999.970i	0.214765	−	1.21799i	0.881315	−	0.472530i	$-0.156659\pi$
$822$	334.610	+	416.310i	0.407068	+	0.506460i
$823$	5.31063	−	14.5908i	0.00645277	−	0.0177288i	−0.936424	−	0.350869i	$-0.885886\pi$
$823$	5.31063	−	14.5908i	0.00645277	−	0.0177288i	0.942877	+	0.333141i	$0.108108\pi$
$824$	−73.7165	−	88.8073i	−0.0894617	−	0.107776i
$825$	197.651	−	67.6412i	0.239576	−	0.0819894i
$826$	−475.136	−	173.890i	−0.575225	−	0.210521i
$827$	−327.468	+	189.064i	−0.395971	+	0.228614i	−0.684744	−	0.728784i	$-0.740086\pi$
$827$	−327.468	+	189.064i	−0.395971	+	0.228614i	0.288773	+	0.957398i	$0.406753\pi$
$828$	1212.64	+	267.031i	1.46454	+	0.322501i
$829$	258.295	−	447.381i	0.311575	−	0.539663i	−0.667129	−	0.744942i	$-0.732477\pi$
$829$	258.295	−	447.381i	0.311575	−	0.539663i	0.978703	+	0.205279i	$0.0658102\pi$
$830$	215.194	+	257.385i	0.259270	+	0.310102i
$831$	415.650	+	250.812i	0.500180	+	0.301820i
$832$	−1123.12	+	922.217i	−1.34990	+	1.10843i
$833$	−374.941	+	314.613i	−0.450110	+	0.377687i
$834$	214.764	−	354.487i	0.257511	−	0.425045i
$835$	−135.619	−	372.610i	−0.162418	−	0.446239i
$836$	462.863	+	170.330i	0.553663	+	0.203744i
$837$	555.311	+	239.420i	0.663454	+	0.286046i
$838$	78.0780	+	13.9101i	0.0931719	+	0.0165992i
$839$	328.333	+	902.088i	0.391339	+	1.07519i	0.966391	+	0.257077i	$0.0827595\pi$
$839$	328.333	+	902.088i	0.391339	+	1.07519i	−0.575052	+	0.818117i	$0.695018\pi$
$840$	111.606	+	739.061i	0.132865	+	0.879834i
$841$	−138.368	+	116.105i	−0.164528	+	0.138056i
$842$	46.2100	+	0.0819663i	0.0548813	+	9.73472e-5i
$843$	−24.2204	+	1252.64i	−0.0287312	+	1.48593i
$844$	−1078.02	+	617.308i	−1.27728	+	0.731407i
$845$	−606.773	+	1050.96i	−0.718075	+	1.24374i
$846$	410.114	+	89.5469i	0.484768	+	0.105847i
$847$	701.954	−	405.274i	0.828754	−	0.478481i
$848$	50.5330	−	41.7948i	0.0595908	−	0.0492864i
$849$	31.1251	−	158.533i	0.0366610	−	0.186730i
$850$	207.703	−	358.284i	0.244357	−	0.421510i
$851$	186.053	−	511.176i	0.218629	−	0.600677i
$852$	632.956	−	1040.58i	0.742906	−	1.22134i
$853$	−112.090	+	635.694i	−0.131407	+	0.745245i	0.845888	+	0.533361i	$0.179071\pi$
$853$	−112.090	+	635.694i	−0.131407	+	0.745245i	−0.977295	+	0.211884i	$0.932040\pi$
$854$	246.090	+	679.878i	0.288162	+	0.796110i
$855$	27.4810	−	710.371i	0.0321415	−	0.830843i
$856$	−567.877	+	323.847i	−0.663407	+	0.378326i
$857$	−61.7208	−	51.7899i	−0.0720196	−	0.0604316i	0.606067	−	0.795413i	$-0.292746\pi$
$857$	−61.7208	−	51.7899i	−0.0720196	−	0.0604316i	−0.678087	+	0.734982i	$0.737191\pi$
$858$	−144.752	+	730.429i	−0.168709	+	0.851316i
$859$	152.417	−	26.8752i	0.177435	−	0.0312866i	−0.0842245	−	0.996447i	$-0.526841\pi$
$859$	152.417	−	26.8752i	0.177435	−	0.0312866i	0.261660	+	0.965160i	$0.415730\pi$
$860$	−46.3259	−	128.698i	−0.0538673	−	0.149649i
$861$	1096.67	−	884.657i	1.27372	−	1.02748i
$862$	1217.54	−	212.458i	1.41245	−	0.246471i
$863$		−	29.9557i		−	0.0347111i	−0.999849	−	0.0173556i	$-0.994475\pi$
$863$		−	29.9557i		−	0.0347111i	0.999849	−	0.0173556i	$-0.00552472\pi$
$864$	838.947	+	206.551i	0.971004	+	0.239063i
$865$	−961.240			−1.11126
$866$	46.7294	+	267.792i	0.0539600	+	0.309229i
$867$	26.8499	−	69.5554i	0.0309688	−	0.0802254i
$868$	749.769	−	269.885i	0.863789	−	0.310928i
$869$	−24.0062	−	136.146i	−0.0276251	−	0.156670i
$870$	−355.666	+	406.141i	−0.408812	+	0.466828i
$871$	−1319.92	+	1573.02i	−1.51541	+	1.80600i
$872$	766.334	+	1343.79i	0.878824	+	1.54105i
$873$	180.939	+	1323.54i	0.207261	+	1.51608i
$874$	−1463.32	+	529.669i	−1.67428	+	0.606028i
$875$	−1157.51	−	204.100i	−1.32287	−	0.233258i
$876$	8.78675	−	383.959i	0.0100305	−	0.438310i
$877$	−1523.86	−	554.639i	−1.73758	−	0.632428i	−0.738458	−	0.674299i	$-0.764446\pi$
$877$	−1523.86	−	554.639i	−1.73758	−	0.632428i	−0.999123	+	0.0418712i	$0.986668\pi$
$878$	−586.431	−	339.964i	−0.667917	−	0.387203i
$879$	−485.410	+	556.286i	−0.552230	+	0.632862i
$880$	195.147	+	235.947i	0.221758	+	0.268121i
$881$	−123.078	−	213.177i	−0.139703	−	0.241972i	0.787681	−	0.616083i	$-0.211281\pi$
$881$	−123.078	−	213.177i	−0.139703	−	0.241972i	−0.927384	+	0.374111i	$0.877948\pi$
$882$	429.000	−	331.365i	0.486395	−	0.375698i
$883$	−649.429	−	374.948i	−0.735481	−	0.424630i	0.0849433	−	0.996386i	$-0.472929\pi$
$883$	−649.429	−	374.948i	−0.735481	−	0.424630i	−0.820424	+	0.571756i	$0.806262\pi$
$884$	733.546	+	1281.01i	0.829804	+	1.44911i
$885$	144.346	+	261.565i	0.163103	+	0.295554i
$886$	−1.18639	+	668.847i	−0.00133904	+	0.754906i
$887$	−102.658	−	122.344i	−0.115737	−	0.137930i	0.705065	−	0.709142i	$-0.250918\pi$
$887$	−102.658	−	122.344i	−0.115737	−	0.137930i	−0.820802	+	0.571213i	$0.806473\pi$
$888$	138.189	−	352.389i	0.155618	−	0.396834i
$889$	−1312.58	+	477.739i	−1.47646	+	0.537389i
$890$	−110.704	+	621.387i	−0.124387	+	0.698187i
$891$	399.356	−	191.075i	0.448211	−	0.214451i
$892$	−27.9281	+	75.8931i	−0.0313096	+	0.0850820i
$893$	−494.383	+	179.941i	−0.553620	+	0.201501i
$894$	27.0205	−	1279.99i	0.0302242	−	1.43175i
$895$	−110.587	−	131.793i	−0.123561	−	0.147255i
$896$	992.978	−	556.973i	1.10823	−	0.621622i
$897$	−1135.23	−	2057.12i	−1.26558	−	2.29333i
$898$	−102.455	+	85.6608i	−0.114093	+	0.0953907i
$899$	498.447	+	287.779i	0.554446	+	0.320110i
$900$	−245.889	+	387.180i	−0.273210	+	0.430200i
$901$	−33.3064	−	57.6883i	−0.0369660	−	0.0640270i
$902$	198.377	−	542.044i	0.219931	−	0.600935i
$903$	−171.342	+	196.360i	−0.189748	+	0.217453i
$904$	9.04657	−	7.50930i	0.0100073	−	0.00830675i
$905$	−473.017	−	172.164i	−0.522671	−	0.190237i
$906$	65.7720	+	425.320i	0.0725960	+	0.469448i
$907$	−372.598	−	65.6990i	−0.410802	−	0.0724355i	−0.0355719	−	0.999367i	$-0.511325\pi$
$907$	−372.598	−	65.6990i	−0.410802	−	0.0724355i	−0.375230	+	0.926932i	$0.622436\pi$
$908$	−187.376	+	32.3545i	−0.206362	+	0.0356328i
$909$	84.9752	+	34.7044i	0.0934820	+	0.0381786i
$910$	911.031	−	1081.82i	1.00113	−	1.18881i
$911$	819.489	−	976.629i	0.899549	−	1.07204i	−0.0974974	−	0.995236i	$-0.531084\pi$
$911$	819.489	−	976.629i	0.899549	−	1.07204i	0.997046	−	0.0768047i	$-0.0244718\pi$
$912$	−1026.99	+	343.343i	−1.12609	+	0.376472i
$913$	−45.4701	−	257.874i	−0.0498030	−	0.282447i
$914$	425.187	+	739.472i	0.465194	+	0.809050i
$915$	153.749	−	398.290i	0.168031	−	0.435289i
$916$	−282.335	−	1.00160i	−0.308226	−	0.00109345i
$917$	451.772			0.492663
$918$	348.901	−	805.309i	0.380066	−	0.877242i
$919$		−	552.951i		−	0.601687i	−0.953673	−	0.300844i	$-0.902732\pi$
$919$		−	552.951i		−	0.601687i	0.953673	−	0.300844i	$-0.0972682\pi$
$920$	−950.551	−	172.828i	−1.03321	−	0.187857i
$921$	640.656	−	516.802i	0.695609	−	0.561131i
$922$	−114.363	−	198.896i	−0.124038	−	0.215723i
$923$	−2269.65	+	400.201i	−2.45900	+	0.433587i
$924$	212.016	−	543.486i	0.229455	−	0.588189i
$925$	153.927	+	129.160i	0.166408	+	0.139633i
$926$	407.212	−	483.552i	0.439754	−	0.522194i
$927$	114.873	−	60.5262i	0.123919	−	0.0652925i
$928$	770.210	+	288.095i	0.829968	+	0.310447i
$929$	37.1959	−	210.948i	0.0400386	−	0.227070i	−0.958222	−	0.286026i	$-0.907666\pi$
$929$	37.1959	−	210.948i	0.0400386	−	0.227070i	0.998261	+	0.0589551i	$0.0187769\pi$
$930$	−438.652	−	170.224i	−0.471668	−	0.183036i
$931$	−232.365	+	638.417i	−0.249586	+	0.685732i
$932$	1170.82	+	989.536i	1.25625	+	1.06173i
$933$	−8.30643	+	42.3081i	−0.00890292	+	0.0453463i
$934$	−292.315	+	798.717i	−0.312971	+	0.855157i
$935$	269.356	−	155.513i	0.288081	−	0.166324i
$936$	−754.391	−	1450.43i	−0.805973	−	1.54960i
$937$	245.511	−	425.237i	0.262018	−	0.453829i	−0.704760	−	0.709446i	$-0.748945\pi$
$937$	245.511	−	425.237i	0.262018	−	0.453829i	0.966778	+	0.255617i	$0.0822787\pi$
$938$	1234.20	−	1031.89i	1.31578	−	1.10010i
$939$	1.02741	−	53.1360i	0.00109415	−	0.0565879i
$940$	−321.453	−	57.8573i	−0.341971	−	0.0615504i
$941$	−1364.30	+	1144.79i	−1.44984	+	1.21656i	−0.517150	+	0.855895i	$0.673007\pi$
$941$	−1364.30	+	1144.79i	−1.44984	+	1.21656i	−0.932694	+	0.360668i	$0.882549\pi$
$942$	1377.27	−	756.869i	1.46207	−	0.803470i
$943$	622.912	+	1711.44i	0.660564	+	1.81488i
$944$	294.976	−	346.515i	0.312474	−	0.367071i
$945$	−839.456	−	48.7424i	−0.888313	−	0.0515793i
$946$	−18.7248	+	105.103i	−0.0197937	+	0.111103i
$947$	−282.162	−	775.235i	−0.297954	−	0.818622i	−0.994842	−	0.101441i	$-0.967655\pi$
$947$	−282.162	−	775.235i	−0.297954	−	0.818622i	0.696887	−	0.717180i	$-0.254568\pi$
$948$	227.990	+	200.372i	0.240496	+	0.211363i
$949$	−556.706	+	467.131i	−0.586623	+	0.492236i
$950$	1.01965	−	574.845i	0.00107331	−	0.605100i
$951$	68.7862	+	41.5071i	0.0723304	+	0.0436457i
$952$	−389.756	−	1088.84i	−0.409407	−	1.14374i
$953$	857.960	−	1486.03i	0.900273	−	1.55932i	0.0731332	−	0.997322i	$-0.476700\pi$
$953$	857.960	−	1486.03i	0.900273	−	1.55932i	0.827140	−	0.561996i	$-0.189966\pi$
$954$	34.2741	+	65.3297i	0.0359267	+	0.0684798i
$955$	−852.256	+	492.050i	−0.892414	+	0.515236i
$956$	−1187.02	−	690.952i	−1.24165	−	0.722754i
$957$	398.661	−	136.432i	0.416574	−	0.142563i
$958$	269.886	+	156.458i	0.281718	+	0.163317i
$959$	−270.810	+	744.044i	−0.282388	+	0.775854i
$960$	−658.249	−	136.526i	−0.685676	−	0.142215i
$961$	79.7679	−	452.386i	0.0830050	−	0.470745i
$962$	−673.475	+	243.773i	−0.700078	+	0.253402i
$963$	−224.634	−	700.299i	−0.233264	−	0.727205i
$964$	741.909	−	618.063i	0.769615	−	0.641145i
$965$	468.540	+	393.151i	0.485533	+	0.407411i
$966$	592.926	+	1742.64i	0.613795	+	1.80397i
$967$	254.880	−	44.9423i	0.263578	−	0.0464760i	−0.0402972	−	0.999188i	$-0.512830\pi$
$967$	254.880	−	44.9423i	0.263578	−	0.0464760i	0.303875	+	0.952712i	$0.401719\pi$
$968$	122.770	+	718.606i	0.126829	+	0.742362i
$969$	170.029	+	1086.74i	0.175469	+	1.12151i
$970$	−178.672	−	1023.92i	−0.184198	−	1.05559i
$971$		−	1362.29i		−	1.40298i	−0.712681	−	0.701488i	$-0.752519\pi$
$971$		−	1362.29i		−	1.40298i	0.712681	−	0.701488i	$-0.247481\pi$
$972$	−422.155	+	875.539i	−0.434316	+	0.900761i
$973$	614.428			0.631478
$974$	1075.33	−	187.644i	1.10403	−	0.192653i
$975$	857.457	−	134.156i	0.879444	−	0.137596i
$976$	−650.301	−	4.61403i	−0.666292	−	0.00472749i
$977$	−185.676	−	1053.02i	−0.190047	−	1.07781i	−0.919298	−	0.393562i	$-0.871243\pi$
$977$	−185.676	−	1053.02i	−0.190047	−	1.07781i	0.729251	−	0.684246i	$-0.239869\pi$
$978$	1716.07	−	583.887i	1.75468	−	0.597022i
$979$	316.656	−	377.375i	0.323448	−	0.385470i
$980$	−324.058	+	269.964i	−0.330672	+	0.275474i
$981$	−1657.15	+	531.561i	−1.68925	+	0.541857i
$982$	−133.650	−	369.237i	−0.136100	−	0.376006i
$983$	427.195	+	75.3260i	0.434583	+	0.0766287i	0.386660	−	0.922222i	$-0.373629\pi$
$983$	427.195	+	75.3260i	0.434583	+	0.0766287i	0.0479229	+	0.998851i	$0.484740\pi$
$984$	403.947	+	1201.18i	0.410516	+	1.22071i
$985$	493.791	+	179.725i	0.501310	+	0.182462i
$986$	418.938	−	722.658i	0.424886	−	0.732919i
$987$	201.493	+	588.771i	0.204147	+	0.596526i
$988$	1770.86	+	1030.80i	1.79237	+	1.04332i
$989$	−168.429	−	291.727i	−0.170302	−	0.294972i
$990$	−305.035	+	160.031i	−0.308116	+	0.161648i
$991$	866.750	+	500.419i	0.874622	+	0.504963i	0.868881	−	0.495020i	$-0.164839\pi$
$991$	866.750	+	500.419i	0.874622	+	0.504963i	0.00574052	+	0.999984i	$0.498173\pi$
$992$	−6.35634	+	716.683i	−0.00640760	+	0.722462i
$993$	−414.257	+	686.514i	−0.417178	+	0.691353i
$994$	1805.57	+	3.20267i	1.81646	+	0.00322200i
$995$	374.973	+	446.875i	0.376857	+	0.449121i
$996$	431.836	+	379.524i	0.433571	+	0.381048i
$997$	834.713	−	303.811i	0.837225	−	0.304725i	0.112404	−	0.993663i	$-0.464145\pi$
$997$	834.713	−	303.811i	0.837225	−	0.304725i	0.724820	+	0.688938i	$0.241923\pi$
$998$	−1895.15	−	337.633i	−1.89895	−	0.338310i
$999$	355.817	+	233.934i	0.356173	+	0.234168i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	108.3.j.a.7.20	yes	204
3.2	odd	2		324.3.j.a.19.15		204
4.3	odd	2	inner	108.3.j.a.7.13	✓	204
12.11	even	2		324.3.j.a.19.22		204
27.4	even	9	inner	108.3.j.a.31.13	yes	204
27.23	odd	18		324.3.j.a.307.22		204
108.23	even	18		324.3.j.a.307.15		204
108.31	odd	18	inner	108.3.j.a.31.20	yes	204

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
108.3.j.a.7.13	✓	204	4.3	odd	2	inner
108.3.j.a.7.20	yes	204	1.1	even	1	trivial
108.3.j.a.31.13	yes	204	27.4	even	9	inner
108.3.j.a.31.20	yes	204	108.31	odd	18	inner
324.3.j.a.19.15		204	3.2	odd	2
324.3.j.a.19.22		204	12.11	even	2
324.3.j.a.307.15		204	108.23	even	18
324.3.j.a.307.22		204	27.23	odd	18

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:	\( N \)	\(=\)	\( 108 = 2^{2} \cdot 3^{3} \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	108.j (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.343802 + 1.97023i) q^{2} +(2.96394 - 0.463733i) q^{3} +(-3.76360 + 1.35474i) q^{4} +(0.608002 + 3.44815i) q^{5} +(1.93267 + 5.68021i) q^{6} +(-5.71739 + 6.81372i) q^{7} +(-3.96308 - 6.94939i) q^{8} +(8.56990 - 2.74895i) q^{9} +O(q^{10})\)	\(q+(0.343802 + 1.97023i) q^{2} +(2.96394 - 0.463733i) q^{3} +(-3.76360 + 1.35474i) q^{4} +(0.608002 + 3.44815i) q^{5} +(1.93267 + 5.68021i) q^{6} +(-5.71739 + 6.81372i) q^{7} +(-3.96308 - 6.94939i) q^{8} +(8.56990 - 2.74895i) q^{9} +(-6.58462 + 2.38339i) q^{10} +(5.38256 + 0.949091i) q^{11} +(-10.5269 + 5.76067i) q^{12} +(21.3373 + 7.76615i) q^{13} +(-15.3902 - 8.92199i) q^{14} +(3.40111 + 9.93818i) q^{15} +(12.3294 - 10.1974i) q^{16} +(-8.12631 - 14.0752i) q^{17} +(8.36242 + 15.9396i) q^{18} +(-19.5372 - 11.2798i) q^{19} +(-6.95962 - 12.1538i) q^{20} +(-13.7863 + 22.8468i) q^{21} +(-0.0193895 + 10.9312i) q^{22} +(-22.1707 - 26.4221i) q^{23} +(-14.9690 - 18.7598i) q^{24} +(11.9722 - 4.35753i) q^{25} +(-7.96527 + 44.7094i) q^{26} +(24.1259 - 12.1219i) q^{27} +(12.2872 - 33.3897i) q^{28} +(24.1480 - 8.78914i) q^{29} +(-18.4112 + 10.1177i) q^{30} +(14.3967 + 17.1573i) q^{31} +(24.3300 + 20.7858i) q^{32} +(16.3937 + 0.316980i) q^{33} +(24.9375 - 20.8498i) q^{34} +(-26.9709 - 15.5717i) q^{35} +(-28.5296 + 21.9559i) q^{36} +(7.88574 + 13.6585i) q^{37} +(15.5069 - 42.3708i) q^{38} +(66.8440 + 13.1236i) q^{39} +(21.5530 - 17.8905i) q^{40} +(-49.6190 - 18.0598i) q^{41} +(-49.7532 - 19.3073i) q^{42} +(9.61800 + 1.69591i) q^{43} +(-21.5436 + 3.71996i) q^{44} +(14.6893 + 27.8790i) q^{45} +(44.4351 - 52.7654i) q^{46} +(14.9904 - 17.8648i) q^{47} +(31.8147 - 35.9420i) q^{48} +(-5.22945 - 29.6577i) q^{49} +(12.7014 + 22.0899i) q^{50} +(-30.6130 - 37.9496i) q^{51} +(-90.8262 - 0.322212i) q^{52} +4.09859 q^{53} +(32.1774 + 43.3660i) q^{54} +19.1370i q^{55} +(70.0096 + 12.7291i) q^{56} +(-63.1380 - 24.3727i) q^{57} +(25.6187 + 44.5553i) q^{58} +(28.0094 - 4.93882i) q^{59} +(-26.2640 - 32.7957i) q^{60} +(-31.1357 - 26.1260i) q^{61} +(-28.8541 + 34.2634i) q^{62} +(-30.2669 + 74.1097i) q^{63} +(-32.5881 + 55.0819i) q^{64} +(-13.8057 + 78.2962i) q^{65} +(5.01168 + 32.4084i) q^{66} +(-30.9299 + 84.9793i) q^{67} +(49.6523 + 41.9643i) q^{68} +(-77.9656 - 68.0321i) q^{69} +(21.4071 - 58.4924i) q^{70} +(-87.8991 + 50.7486i) q^{71} +(-53.0667 - 48.6613i) q^{72} +(-16.0025 + 27.7171i) q^{73} +(-24.1992 + 20.2325i) q^{74} +(33.4642 - 18.4674i) q^{75} +(88.8115 + 15.9849i) q^{76} +(-37.2410 + 31.2489i) q^{77} +(-2.87538 + 136.210i) q^{78} +(-8.65102 - 23.7685i) q^{79} +(42.6584 + 36.3135i) q^{80} +(65.8865 - 47.1165i) q^{81} +(18.5229 - 103.970i) q^{82} +(-16.3859 - 45.0198i) q^{83} +(20.9345 - 104.663i) q^{84} +(43.5925 - 36.5785i) q^{85} +(-0.0346467 + 19.5327i) q^{86} +(67.4973 - 37.2487i) q^{87} +(-14.7359 - 41.1668i) q^{88} +(45.0663 - 78.0571i) q^{89} +(-49.8777 + 38.5262i) q^{90} +(-174.910 + 100.984i) q^{91} +(119.237 + 69.4065i) q^{92} +(50.6272 + 44.1769i) q^{93} +(40.3515 + 23.3925i) q^{94} +(27.0159 - 74.2255i) q^{95} +(81.7519 + 50.3253i) q^{96} +(-25.7741 + 146.172i) q^{97} +(56.6346 - 20.4996i) q^{98} +(48.7371 - 6.66280i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 204 q - 6 q^{2} - 6 q^{4} - 12 q^{5} - 6 q^{6} - 3 q^{8} - 12 q^{9}+O(q^{10}) \) 204 * q - 6 * q^2 - 6 * q^4 - 12 * q^5 - 6 * q^6 - 3 * q^8 - 12 * q^9	\( 204 q - 6 q^{2} - 6 q^{4} - 12 q^{5} - 6 q^{6} - 3 q^{8} - 12 q^{9} - 3 q^{10} + 39 q^{12} - 12 q^{13} + 39 q^{14} - 6 q^{16} - 6 q^{17} - 27 q^{18} - 69 q^{20} - 12 q^{21} - 6 q^{22} - 138 q^{24} - 12 q^{25} - 174 q^{26} - 12 q^{28} + 60 q^{29} - 153 q^{30} - 96 q^{32} + 48 q^{33} + 6 q^{34} + 24 q^{36} - 6 q^{37} + 72 q^{38} + 69 q^{40} - 192 q^{41} - 126 q^{42} - 219 q^{44} - 132 q^{45} - 3 q^{46} - 219 q^{48} - 12 q^{49} - 165 q^{50} + 21 q^{52} - 24 q^{53} + 78 q^{54} + 99 q^{56} - 150 q^{57} - 141 q^{58} + 210 q^{60} - 12 q^{61} + 294 q^{62} - 3 q^{64} - 156 q^{65} + 393 q^{66} + 375 q^{68} - 60 q^{69} - 165 q^{70} + 228 q^{72} - 6 q^{73} + 447 q^{74} - 54 q^{76} + 132 q^{77} + 750 q^{78} + 798 q^{80} + 228 q^{81} - 12 q^{82} + 762 q^{84} + 138 q^{85} + 606 q^{86} - 198 q^{88} - 114 q^{89} + 894 q^{90} + 723 q^{92} - 1020 q^{93} - 357 q^{94} + 474 q^{96} + 168 q^{97} + 510 q^{98}+O(q^{100}) \) 204 * q - 6 * q^2 - 6 * q^4 - 12 * q^5 - 6 * q^6 - 3 * q^8 - 12 * q^9 - 3 * q^10 + 39 * q^12 - 12 * q^13 + 39 * q^14 - 6 * q^16 - 6 * q^17 - 27 * q^18 - 69 * q^20 - 12 * q^21 - 6 * q^22 - 138 * q^24 - 12 * q^25 - 174 * q^26 - 12 * q^28 + 60 * q^29 - 153 * q^30 - 96 * q^32 + 48 * q^33 + 6 * q^34 + 24 * q^36 - 6 * q^37 + 72 * q^38 + 69 * q^40 - 192 * q^41 - 126 * q^42 - 219 * q^44 - 132 * q^45 - 3 * q^46 - 219 * q^48 - 12 * q^49 - 165 * q^50 + 21 * q^52 - 24 * q^53 + 78 * q^54 + 99 * q^56 - 150 * q^57 - 141 * q^58 + 210 * q^60 - 12 * q^61 + 294 * q^62 - 3 * q^64 - 156 * q^65 + 393 * q^66 + 375 * q^68 - 60 * q^69 - 165 * q^70 + 228 * q^72 - 6 * q^73 + 447 * q^74 - 54 * q^76 + 132 * q^77 + 750 * q^78 + 798 * q^80 + 228 * q^81 - 12 * q^82 + 762 * q^84 + 138 * q^85 + 606 * q^86 - 198 * q^88 - 114 * q^89 + 894 * q^90 + 723 * q^92 - 1020 * q^93 - 357 * q^94 + 474 * q^96 + 168 * q^97 + 510 * q^98

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