LMFDB - Embedded newform 108.3.j.a.31.20

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			31.20
Character	$\chi$	$=$	108.31
Dual form			108.3.j.a.7.20

$q$-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 $\left(\mathbb{Z}/108\mathbb{Z}\right)^\times$.

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

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	−0.861669	−	0.507471i	$-0.830580\pi$
$5$	0.608002	−	3.44815i	0.121600	−	0.689631i	0.983269	−	0.182159i	$-0.0583086\pi$
$6$	1.93267	−	5.68021i	0.322112	−	0.946702i
$7$	−5.71739	−	6.81372i	−0.816769	−	0.973388i	0.183184	−	0.983079i	$-0.441360\pi$
$7$	−5.71739	−	6.81372i	−0.816769	−	0.973388i	−0.999953	+	0.00969079i	$0.996915\pi$
$8$	−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	0.0764579	−	0.997073i	$-0.475639\pi$
$11$	5.38256	−	0.949091i	0.489324	−	0.0862810i	0.412866	+	0.910792i	$0.364528\pi$
$12$	−10.5269	−	5.76067i	−0.877238	−	0.480056i
$13$	21.3373	−	7.76615i	1.64133	−	0.597396i	0.654061	−	0.756442i	$-0.273064\pi$
$13$	21.3373	−	7.76615i	1.64133	−	0.597396i	0.987271	+	0.159046i	$0.0508418\pi$
$14$	−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	−0.999682	−	0.0251993i	$-0.991978\pi$
$17$	−8.12631	+	14.0752i	−0.478018	+	0.827951i	0.521664	+	0.853151i	$0.325311\pi$
$18$	8.36242	−	15.9396i	0.464579	−	0.885532i
$19$	−19.5372	+	11.2798i	−1.02828	+	0.593675i	−0.916490	−	0.400057i	$-0.868990\pi$
$19$	−19.5372	+	11.2798i	−1.02828	+	0.593675i	−0.111785	+	0.993732i	$0.535657\pi$
$20$	−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	0.0248778	+	0.999690i	$0.492080\pi$
$23$	−22.1707	+	26.4221i	−0.963945	+	1.14879i	−0.988823	+	0.149095i	$0.952364\pi$
$24$	−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	0.722962	−	0.690888i	$-0.242780\pi$
$29$	24.1480	+	8.78914i	0.832688	+	0.303074i	0.109727	+	0.993962i	$0.465002\pi$
$30$	−18.4112	−	10.1177i	−0.613706	−	0.337257i
$31$	14.3967	−	17.1573i	0.464408	−	0.553460i	−0.482110	−	0.876111i	$-0.660129\pi$
$31$	14.3967	−	17.1573i	0.464408	−	0.553460i	0.946518	+	0.322651i	$0.104574\pi$
$32$	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	−0.739564	−	0.673086i	$-0.764968\pi$
$37$	7.88574	−	13.6585i	0.213128	−	0.369149i	0.952692	+	0.303938i	$0.0983015\pi$
$38$	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	−0.866780	−	0.498691i	$-0.833814\pi$
$41$	−49.6190	+	18.0598i	−1.21022	+	0.440484i	−0.343439	+	0.939175i	$0.611592\pi$
$42$	−49.7532	+	19.3073i	−1.18460	+	0.459698i
$43$	9.61800	−	1.69591i	0.223674	−	0.0394398i	−0.0606877	−	0.998157i	$-0.519329\pi$
$43$	9.61800	−	1.69591i	0.223674	−	0.0394398i	0.284362	+	0.958717i	$0.408218\pi$
$44$	−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	0.901567	−	0.432640i	$-0.142418\pi$
$47$	14.9904	+	17.8648i	0.318944	+	0.380103i	−0.582623	+	0.812743i	$0.697973\pi$
$48$	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	0.405897	−	0.913919i	$-0.366959\pi$
$59$	28.0094	+	4.93882i	0.474736	+	0.0837088i	0.0688395	+	0.997628i	$0.478070\pi$
$60$	−26.2640	+	32.7957i	−0.437734	+	0.546595i
$61$	−31.1357	+	26.1260i	−0.510422	+	0.428295i	−0.861278	−	0.508135i	$-0.830335\pi$
$61$	−31.1357	+	26.1260i	−0.510422	+	0.428295i	0.350856	+	0.936430i	$0.385891\pi$
$62$	−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	−0.924251	−	0.381785i	$-0.875309\pi$
$67$	−30.9299	−	84.9793i	−0.461641	−	1.26835i	0.462610	−	0.886562i	$-0.346913\pi$
$68$	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	−0.269328	−	0.963049i	$-0.586801\pi$
$71$	−87.8991	−	50.7486i	−1.23802	−	0.714769i	−0.968688	+	0.248280i	$0.920135\pi$
$72$	−53.0667	+	48.6613i	−0.737038	+	0.675851i
$73$	−16.0025	−	27.7171i	−0.219212	−	0.379687i	0.735355	−	0.677682i	$-0.237015\pi$
$73$	−16.0025	−	27.7171i	−0.219212	−	0.379687i	−0.954567	+	0.297995i	$0.903682\pi$
$74$	−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	−0.982326	−	0.187176i	$-0.940067\pi$
$79$	−8.65102	+	23.7685i	−0.109507	+	0.300867i	0.872820	+	0.488042i	$0.162289\pi$
$80$	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	−0.998416	−	0.0562623i	$-0.982082\pi$
$83$	−16.3859	+	45.0198i	−0.197420	+	0.542408i	0.800996	+	0.598670i	$0.204304\pi$
$84$	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	0.999973	+	0.00736306i	$0.00234375\pi$
$89$	45.0663	+	78.0571i	0.506363	+	0.877047i	−0.493610	+	0.869683i	$0.664323\pi$
$90$	−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	−0.766998	−	0.641650i	$-0.778250\pi$
$97$	−25.7741	−	146.172i	−0.265713	−	1.50693i	0.501285	−	0.865282i	$-0.332861\pi$
$98$	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	−0.603291	−	0.797521i	$-0.706144\pi$
$101$	7.81270	−	6.55563i	0.0773534	−	0.0649072i	0.680645	+	0.732614i	$0.261700\pi$
$102$	64.2445	+	73.3618i	0.629848	+	0.719233i
$103$	14.2078	+	2.50522i	0.137940	+	0.0243226i	0.242192	−	0.970228i	$-0.422134\pi$
$103$	14.2078	+	2.50522i	0.137940	+	0.0243226i	−0.104252	+	0.994551i	$0.533245\pi$
$104$	−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	$0.124713\pi$
$107$			81.7160i			0.763701i	−0.924224	+	0.381851i	$0.875287\pi$
$108$	−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	−0.983658	−	0.180049i	$-0.942375\pi$
$113$	0.255201	−	1.44731i	0.00225841	−	0.0128081i	0.985916	+	0.167240i	$0.0534856\pi$
$114$	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	0.142449	−	0.989802i	$-0.454502\pi$
$127$	136.000	−	78.5197i	1.07087	−	0.618266i	0.928418	+	0.371537i	$0.121169\pi$
$128$	−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	−0.876123	−	0.482088i	$-0.839879\pi$
$131$	−32.6480	+	38.9084i	−0.249222	+	0.297011i	0.626901	+	0.779099i	$0.284323\pi$
$132$	−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	0.628760	−	0.777599i	$-0.283563\pi$
$137$	83.6505	+	30.4463i	0.610588	+	0.222236i	−0.0181727	+	0.999835i	$0.505785\pi$
$138$	107.234	+	177.000i	0.777059	+	1.28261i
$139$	−44.4026	+	52.9170i	−0.319443	+	0.380698i	−0.901740	−	0.432279i	$-0.857710\pi$
$139$	−44.4026	+	52.9170i	−0.319443	+	0.380698i	0.582297	+	0.812976i	$0.302154\pi$
$140$	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	−0.911605	−	0.411067i	$-0.865156\pi$
$149$	−200.510	+	72.9797i	−1.34571	+	0.489797i	−0.434101	+	0.900864i	$0.642934\pi$
$150$	47.8900	−	59.5831i	0.319267	−	0.397220i
$151$	70.6394	−	12.4556i	0.467811	−	0.0824877i	0.0652263	−	0.997870i	$-0.479223\pi$
$151$	70.6394	−	12.4556i	0.467811	−	0.0824877i	0.402585	+	0.915383i	$0.368112\pi$
$152$	−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	0.398312	+	0.917250i	$0.369596\pi$
$157$	−45.4824	+	257.943i	−0.289697	+	1.64295i	−0.688009	+	0.725702i	$0.741515\pi$
$158$	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	$0.377394\pi$
$163$			302.114i			1.85346i	−0.375725	+	0.926731i	$0.622606\pi$
$164$	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	−0.170555	−	0.985348i	$-0.554556\pi$
$167$	−111.528	−	19.6654i	−0.667833	−	0.117757i	−0.497278	+	0.867591i	$0.665667\pi$
$168$	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	−0.737168	−	0.675710i	$-0.763837\pi$
$173$	−47.6724	−	270.364i	−0.275563	−	1.56280i	0.461605	−	0.887086i	$-0.347274\pi$
$174$	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	0.376404	−	0.926456i	$-0.377160\pi$
$179$	−42.5533	−	24.5682i	−0.237728	−	0.137252i	−0.614132	+	0.789203i	$0.710494\pi$
$180$	−93.0535	+	85.0251i	−0.516964	+	0.472362i
$181$	−71.8830	−	124.505i	−0.397144	−	0.687873i	0.596229	−	0.802815i	$-0.296665\pi$
$181$	−71.8830	−	124.505i	−0.397144	−	0.687873i	−0.993372	+	0.114942i	$0.963332\pi$
$182$	−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	−0.384744	−	0.923023i	$-0.625710\pi$
$191$	96.1293	−	264.113i	0.503295	−	1.38279i	0.888039	−	0.459768i	$-0.152067\pi$
$192$	−71.0458	−	178.372i	−0.370030	−	0.929020i
$193$	133.817	+	112.286i	0.693352	+	0.581791i	0.919874	−	0.392215i	$-0.128291\pi$
$193$	133.817	+	112.286i	0.693352	+	0.581791i	−0.226522	+	0.974006i	$0.572735\pi$
$194$	−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	0.991193	−	0.132425i	$-0.0422764\pi$
$197$	75.0398	+	129.973i	0.380913	+	0.659761i	−0.610280	+	0.792186i	$0.708943\pi$
$198$	29.8831	−	93.7324i	0.150925	−	0.473396i
$199$	144.287	+	83.3043i	0.725062	+	0.418615i	0.816613	−	0.577186i	$-0.195849\pi$
$199$	144.287	+	83.3043i	0.725062	+	0.418615i	−0.0915512	+	0.995800i	$0.529183\pi$
$200$	−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	0.842323	−	0.538974i	$-0.181188\pi$
$211$	305.846	+	53.9289i	1.44951	+	0.255587i	0.607184	+	0.794561i	$0.292299\pi$
$212$	−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	0.794395	−	0.607402i	$-0.207788\pi$
$223$	12.9953	+	15.4873i	0.0582751	+	0.0694496i	−0.736119	+	0.676852i	$0.763344\pi$
$224$	−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	−0.0695767	−	0.997577i	$-0.522165\pi$
$227$	46.8151	−	8.25477i	0.206234	−	0.0363646i	0.275811	+	0.961212i	$0.411054\pi$
$228$	270.645	−	6.19360i	1.18704	−	0.0271649i
$229$	66.3275	−	24.1412i	0.289640	−	0.105420i	−0.193114	−	0.981176i	$-0.561859\pi$
$229$	66.3275	−	24.1412i	0.289640	−	0.105420i	0.482754	+	0.875756i	$0.339637\pi$
$230$	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	0.0814716	+	0.996676i	$0.474038\pi$
$233$	−191.622	+	331.898i	−0.822411	+	1.42446i	−0.903882	+	0.427781i	$0.859295\pi$
$234$	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	−0.0711850	−	0.997463i	$-0.522678\pi$
$239$	220.713	−	263.036i	0.923486	−	1.10057i	0.994671	−	0.103104i	$-0.0328775\pi$
$240$	143.277	−	87.8491i	0.596987	−	0.366038i
$241$	−226.848	−	82.5658i	−0.941276	−	0.342597i	−0.174607	−	0.984638i	$-0.555865\pi$
$241$	−226.848	−	82.5658i	−0.941276	−	0.342597i	−0.766670	+	0.642042i	$0.778088\pi$
$242$	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	−0.571029	−	0.820930i	$-0.693456\pi$
$251$	−36.5452	+	21.0994i	−0.145598	+	0.0840612i	0.425431	+	0.904991i	$0.360122\pi$
$252$	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	0.0810661	−	0.996709i	$-0.474168\pi$
$257$	201.446	−	73.3205i	0.783838	−	0.285294i	0.702772	+	0.711415i	$0.251945\pi$
$258$	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	0.620098	−	0.784525i	$-0.287093\pi$
$263$	−68.4293	−	81.5508i	−0.260187	−	0.310079i	−0.880285	+	0.474446i	$0.842649\pi$
$264$	−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	$-0.802554\pi$
$271$		−	315.051i		−	1.16255i	0.813707	−	0.581275i	$-0.197446\pi$
$272$	−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	−0.390999	−	0.920391i	$-0.627870\pi$
$277$	123.961	−	104.016i	0.447514	−	0.375509i	0.838512	+	0.544883i	$0.183426\pi$
$278$	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	−0.788048	−	0.615614i	$-0.788908\pi$
$281$	−72.5198	−	411.280i	−0.258078	−	1.46363i	0.529970	−	0.848016i	$-0.322203\pi$
$282$	130.447	−	50.6217i	0.462580	−	0.179509i
$283$	18.4189	+	50.6056i	0.0650845	+	0.178818i	0.967972	−	0.251059i	$-0.0807789\pi$
$283$	18.4189	+	50.6056i	0.0650845	+	0.178818i	−0.902887	+	0.429878i	$0.858557\pi$
$284$	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	0.261647	−	0.965164i	$-0.415734\pi$
$293$	−188.522	−	158.189i	−0.643419	−	0.539893i	−0.905066	+	0.425271i	$0.860179\pi$
$294$	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	0.834295	−	0.551318i	$-0.185875\pi$
$307$	237.614	+	137.186i	0.773987	+	0.446861i	−0.0603082	+	0.998180i	$0.519208\pi$
$308$	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	0.931539	−	0.363641i	$-0.118467\pi$
$311$	−4.91549	−	13.5052i	−0.0158054	−	0.0434251i	−0.947344	+	0.320216i	$0.896244\pi$
$312$	−173.707	+	516.535i	−0.556752	+	1.65556i
$313$	3.07623	+	17.4462i	0.00982822	+	0.0557386i	0.989327	−	0.145709i	$-0.0465464\pi$
$313$	3.07623	+	17.4462i	0.00982822	+	0.0557386i	−0.979499	+	0.201448i	$0.935435\pi$
$314$	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	−0.609857	−	0.792512i	$-0.708773\pi$
$317$	20.5145	−	17.2137i	0.0647144	−	0.0543018i	0.674571	+	0.738210i	$0.264329\pi$
$318$	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	0.441320	−	0.897350i	$-0.354510\pi$
$331$	−171.799	−	204.742i	−0.519031	−	0.618557i	−0.960351	+	0.278793i	$0.910066\pi$
$332$	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	−0.408479	−	0.912768i	$-0.633941\pi$
$337$	−45.3861	+	16.5192i	−0.134677	+	0.0490184i	0.273802	+	0.961786i	$0.411719\pi$
$338$	−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	−0.540668	−	0.841236i	$-0.681829\pi$
$347$	132.441	−	157.837i	0.381673	−	0.454860i	0.922342	+	0.386375i	$0.126273\pi$
$348$	−203.571	−	231.630i	−0.584974	−	0.665605i
$349$	−154.612	−	56.2741i	−0.443013	−	0.161244i	0.110875	−	0.993834i	$-0.464635\pi$
$349$	−154.612	−	56.2741i	−0.443013	−	0.161244i	−0.553889	+	0.832591i	$0.686857\pi$
$350$	−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	0.887449	−	0.460907i	$-0.152476\pi$
$353$	448.666	+	163.301i	1.27101	+	0.462609i	0.383560	+	0.923516i	$0.374698\pi$
$354$	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	−0.910145	−	0.414290i	$-0.864030\pi$
$359$	−361.309	+	208.602i	−1.00643	+	0.581064i	−0.0962869	+	0.995354i	$0.530697\pi$
$360$	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	−0.109463	−	0.993991i	$-0.534913\pi$
$367$	46.8441	−	8.25989i	0.127641	−	0.0225065i	0.237104	+	0.971484i	$0.423802\pi$
$368$	−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	−0.988732	−	0.149694i	$-0.952171\pi$
$373$	−3.14422	+	17.8318i	−0.00842956	+	0.0478064i	0.980303	+	0.197500i	$0.0632823\pi$
$374$	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	$-0.774878\pi$
$379$		−	492.502i		−	1.29948i	0.760157	−	0.649739i	$-0.225122\pi$
$380$	−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	0.229769	−	0.973245i	$-0.426203\pi$
$383$	43.2067	+	7.61850i	0.112811	+	0.0198916i	−0.116958	+	0.993137i	$0.537314\pi$
$384$	−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	−0.987936	−	0.154866i	$-0.950505\pi$
$389$	−43.7808	−	248.293i	−0.112547	−	0.638286i	0.875388	−	0.483420i	$-0.160606\pi$
$390$	−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	0.934080	−	0.357064i	$-0.116222\pi$
$397$	62.6518	+	108.516i	0.157813	+	0.273340i	−0.776267	+	0.630405i	$0.782889\pi$
$398$	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	0.983299	−	0.182000i	$-0.0582571\pi$
$401$	390.899	+	328.004i	0.974812	+	0.817964i	−0.00848695	+	0.999964i	$0.502702\pi$
$402$	−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	−0.994942	−	0.100451i	$-0.967972\pi$
$409$	−518.054	−	434.699i	−1.26664	−	1.06283i	−0.271694	−	0.962384i	$-0.587584\pi$
$410$	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	0.954824	−	0.297171i	$-0.0960432\pi$
$419$	13.5624	+	37.2623i	0.0323684	+	0.0889315i	−0.922456	+	0.386103i	$0.873821\pi$
$420$	373.622	−	8.55019i	0.889577	−	0.0203576i
$421$	4.01215	+	22.7540i	0.00953005	+	0.0540476i	0.989202	−	0.146559i	$-0.0468198\pi$
$421$	4.01215	+	22.7540i	0.00953005	+	0.0540476i	−0.979672	+	0.200607i	$0.935709\pi$
$422$	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	$0.254439\pi$
$431$			617.967i			1.43380i	−0.697177	+	0.716899i	$0.745561\pi$
$432$	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	0.458542	−	0.888673i	$-0.348372\pi$
$439$	−217.856	−	259.631i	−0.496255	−	0.591414i	−0.954797	+	0.297259i	$0.903927\pi$
$440$	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	0.210916	−	0.977504i	$-0.432355\pi$
$443$	329.343	−	58.0721i	0.743439	−	0.131088i	0.532523	+	0.846416i	$0.321244\pi$
$444$	−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	−0.826449	−	0.563012i	$-0.809643\pi$
$449$	33.3868	−	57.8276i	0.0743581	−	0.128792i	0.900807	+	0.434220i	$0.142976\pi$
$450$	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	0.740988	−	0.671518i	$-0.234358\pi$
$457$	400.777	+	145.871i	0.876974	+	0.319192i	0.135986	+	0.990711i	$0.456580\pi$
$458$	−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	0.222446	−	0.974945i	$-0.428596\pi$
$461$	−107.797	−	39.2350i	−0.233834	−	0.0851084i	−0.456279	+	0.889837i	$0.650818\pi$
$462$	−249.475	+	151.143i	−0.539989	+	0.327149i
$463$	−203.177	+	242.137i	−0.438827	+	0.522973i	−0.939447	−	0.342694i	$-0.888661\pi$
$463$	−203.177	+	242.137i	−0.438827	+	0.522973i	0.500621	+	0.865667i	$0.333105\pi$
$464$	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	−0.0508517	−	0.998706i	$-0.516194\pi$
$467$	368.289	−	212.632i	0.788627	−	0.455314i	0.839479	+	0.543392i	$0.182860\pi$
$468$	−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	0.860479	−	0.509485i	$-0.170164\pi$
$479$	100.261	+	119.487i	0.209314	+	0.249450i	−0.651166	+	0.758936i	$0.725720\pi$
$480$	−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	$0.189337\pi$
$487$			545.789i			1.12072i	−0.828250	+	0.560359i	$0.810663\pi$
$488$	−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	−0.0267601	−	0.999642i	$-0.508519\pi$
$491$	−193.358	−	34.0942i	−0.393804	−	0.0694383i	−0.367044	+	0.930204i	$0.619630\pi$
$492$	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	−0.578270	−	0.815845i	$-0.696272\pi$
$499$	−329.193	−	904.449i	−0.659705	−	1.81252i	−0.0814345	−	0.996679i	$-0.525950\pi$
$500$	−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	0.0723150	−	0.997382i	$-0.476961\pi$
$503$	−379.909	−	219.340i	−0.755285	−	0.436064i	−0.827600	+	0.561318i	$0.810295\pi$
$504$	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	0.432449	−	0.901658i	$-0.357650\pi$
$509$	−193.632	−	162.477i	−0.380417	−	0.319208i	−0.812866	+	0.582450i	$0.802094\pi$
$510$	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	−0.968290	−	0.249830i	$-0.919625\pi$
$521$	−364.963	−	632.134i	−0.700504	−	1.21331i	0.267785	−	0.963479i	$-0.413708\pi$
$522$	342.030	−	311.410i	0.655231	−	0.596570i
$523$	−405.945	−	234.373i	−0.776186	−	0.448131i	0.0588911	−	0.998264i	$-0.481244\pi$
$523$	−405.945	−	234.373i	−0.776186	−	0.448131i	−0.835077	+	0.550133i	$0.814577\pi$
$524$	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	0.894272	−	0.447524i	$-0.147694\pi$
$547$	163.148	+	194.432i	0.298259	+	0.355451i	−0.596013	+	0.802975i	$0.703249\pi$
$548$	−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	−0.801061	−	0.598583i	$-0.795731\pi$
$557$	65.6464	−	113.703i	0.117857	−	0.204135i	0.918918	+	0.394448i	$0.129064\pi$
$558$	−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	−0.932554	−	0.361030i	$-0.882425\pi$
$563$	−233.686	+	278.496i	−0.415072	+	0.494664i	0.517482	+	0.855694i	$0.326870\pi$
$564$	−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	0.0790551	−	0.996870i	$-0.474810\pi$
$569$	−285.161	−	103.790i	−0.501161	−	0.182408i	−0.580216	+	0.814463i	$0.697032\pi$
$570$	473.829	−	10.0025i	0.831280	−	0.0175483i
$571$	186.268	−	221.985i	0.326213	−	0.388765i	−0.577866	−	0.816132i	$-0.696114\pi$
$571$	186.268	−	221.985i	0.326213	−	0.388765i	0.904078	+	0.427367i	$0.140559\pi$
$572$	−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	−0.0213695	−	0.999772i	$-0.506803\pi$
$577$	493.417	−	854.624i	0.855143	−	1.48115i	0.876512	−	0.481379i	$-0.159864\pi$
$578$	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	0.587289	−	0.809377i	$-0.300195\pi$
$587$	−183.011	−	218.104i	−0.311773	−	0.371557i	−0.899062	+	0.437820i	$0.855751\pi$
$588$	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	0.468415	−	0.883508i	$-0.344825\pi$
$599$	363.236	+	64.0483i	0.606404	+	0.106925i	0.137989	+	0.990434i	$0.455936\pi$
$600$	−260.958	+	159.368i	−0.434931	+	0.265614i
$601$	−489.063	+	410.373i	−0.813750	+	0.682817i	−0.951500	−	0.307650i	$-0.900457\pi$
$601$	−489.063	+	410.373i	−0.813750	+	0.682817i	0.137750	+	0.990467i	$0.456013\pi$
$602$	−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	0.903657	−	0.428258i	$-0.140872\pi$
$607$	−38.7649	−	106.506i	−0.0638631	−	0.175463i	−0.967520	+	0.252795i	$0.918650\pi$
$608$	−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	0.953596	−	0.301089i	$-0.0973502\pi$
$613$	132.437	+	229.387i	0.216047	+	0.374204i	−0.737549	+	0.675294i	$0.764017\pi$
$614$	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	0.986797	−	0.161964i	$-0.0517827\pi$
$617$	616.167	+	517.025i	0.998649	+	0.837966i	0.0118524	+	0.999930i	$0.496227\pi$
$618$	41.6892	−	75.8617i	0.0674583	−	0.122754i
$619$	−266.035	+	730.924i	−0.429781	+	1.18081i	0.516164	+	0.856490i	$0.327359\pi$
$619$	−266.035	+	730.924i	−0.429781	+	1.18081i	−0.945946	+	0.324325i	$0.894863\pi$
$620$	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	0.454286	−	0.890856i	$-0.349895\pi$
$631$	−56.8376	−	32.8152i	−0.0900754	−	0.0520051i	−0.544361	+	0.838851i	$0.683228\pi$
$632$	−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	−0.0493316	−	0.998782i	$-0.515709\pi$
$641$	593.381	−	497.905i	0.925711	−	0.776764i	0.975042	+	0.222019i	$0.0712647\pi$
$642$	464.164	+	157.930i	0.722997	+	0.245997i
$643$	1077.13	+	189.927i	1.67516	+	0.295376i	0.928915	−	0.370293i	$-0.120743\pi$
$643$	1077.13	+	189.927i	1.67516	+	0.295376i	0.746247	+	0.665670i	$0.231854\pi$
$644$	−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	$-0.687418\pi$
$647$		−	1076.11i		−	1.66323i	0.555356	−	0.831613i	$-0.312582\pi$
$648$	−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	0.931731	+	0.363150i	$0.118299\pi$
$653$	−44.4135	+	251.881i	−0.0680145	+	0.385729i	−0.999745	+	0.0225791i	$0.992812\pi$
$654$	−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	0.361620	−	0.932326i	$-0.382224\pi$
$659$	672.381	−	118.559i	1.02030	−	0.179907i	0.658685	+	0.752418i	$0.271113\pi$
$660$	−110.242	+	201.452i	−0.167033	+	0.305230i
$661$	−296.947	+	108.080i	−0.449239	+	0.163510i	−0.556725	−	0.830697i	$-0.687942\pi$
$661$	−296.947	+	108.080i	−0.449239	+	0.163510i	0.107486	+	0.994207i	$0.465720\pi$
$662$	−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	0.218974	−	0.975731i	$-0.429729\pi$
$673$	−161.836	−	58.9034i	−0.240469	−	0.0875236i	−0.459444	+	0.888207i	$0.651951\pi$
$674$	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	−0.252756	−	0.967530i	$-0.581337\pi$
$677$	−723.236	−	263.236i	−1.06829	−	0.388828i	−0.815539	+	0.578702i	$0.803559\pi$
$678$	−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	−0.0547656	−	0.998499i	$-0.517441\pi$
$683$	534.500	−	308.594i	0.782577	−	0.451821i	0.837343	+	0.546678i	$0.184108\pi$
$684$	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	0.700576	−	0.713578i	$-0.252926\pi$
$691$	1107.65	−	195.308i	1.60296	−	0.282645i	0.902384	+	0.430933i	$0.141815\pi$
$692$	−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	−0.947499	−	0.319758i	$-0.896398\pi$
$709$	−565.166	+	474.230i	−0.797131	+	0.668872i	0.150369	+	0.988630i	$0.451954\pi$
$710$	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	−0.994315	−	0.106475i	$-0.966044\pi$
$719$	−1138.67	−	657.410i	−1.58368	−	0.914340i	−0.589367	−	0.807865i	$-0.700623\pi$
$720$	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	−0.886934	−	0.461895i	$-0.847170\pi$
$727$	64.9919	−	178.564i	0.0893974	−	0.245617i	0.976332	+	0.216278i	$0.0693918\pi$
$728$	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	0.671089	−	0.741377i	$-0.265827\pi$
$733$	42.1532	+	35.3708i	0.0575078	+	0.0482548i	−0.613581	+	0.789632i	$0.710271\pi$
$734$	−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	0.623296	−	0.781986i	$-0.285793\pi$
$739$	190.459	+	109.961i	0.257725	+	0.148798i	−0.365571	+	0.930783i	$0.619126\pi$
$740$	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	0.941781	+	0.336228i	$0.109151\pi$
$743$	324.288	+	890.974i	0.436458	+	1.19916i	−0.505323	+	0.862930i	$0.668627\pi$
$744$	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	0.473015	−	0.881054i	$-0.343166\pi$
$751$	462.740	+	81.5936i	0.616166	+	0.108647i	0.143150	+	0.989701i	$0.454277\pi$
$752$	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	−0.378509	−	0.925598i	$-0.623563\pi$
$761$	223.541	−	1267.76i	0.293746	−	1.66592i	0.672255	−	0.740320i	$-0.265326\pi$
$762$	−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	0.562695	−	0.826665i	$-0.309765\pi$
$769$	1172.81	−	426.869i	1.52511	−	0.555096i	0.962419	+	0.271569i	$0.0875425\pi$
$770$	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	−0.963093	−	0.269170i	$-0.913251\pi$
$773$	−192.043	+	332.627i	−0.248438	+	0.430307i	0.714655	+	0.699477i	$0.246584\pi$
$774$	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	−0.404099	−	0.914715i	$-0.632415\pi$
$787$	446.143	−	531.692i	0.566890	−	0.675594i	0.970990	+	0.239121i	$0.0768594\pi$
$788$	−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	0.489291	−	0.872120i	$-0.337256\pi$
$797$	1135.48	−	413.283i	1.42470	−	0.518548i	0.935407	+	0.353573i	$0.115033\pi$
$798$	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	$0.0407816\pi$
$811$			207.241i			0.255538i	−0.991804	+	0.127769i	$0.959218\pi$
$812$	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	0.881315	+	0.472530i	$0.156659\pi$
$821$	176.322	+	999.970i	0.214765	+	1.21799i	−0.666550	+	0.745460i	$0.732230\pi$
$822$	334.610	−	416.310i	0.407068	−	0.506460i
$823$	5.31063	+	14.5908i	0.00645277	+	0.0177288i	0.942877	−	0.333141i	$-0.108108\pi$
$823$	5.31063	+	14.5908i	0.00645277	+	0.0177288i	−0.936424	+	0.350869i	$0.885886\pi$
$824$	−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	0.288773	−	0.957398i	$-0.406753\pi$
$827$	−327.468	−	189.064i	−0.395971	−	0.228614i	−0.684744	+	0.728784i	$0.740086\pi$
$828$	1212.64	−	267.031i	1.46454	−	0.322501i
$829$	258.295	+	447.381i	0.311575	+	0.539663i	0.978703	−	0.205279i	$-0.0658102\pi$
$829$	258.295	+	447.381i	0.311575	+	0.539663i	−0.667129	+	0.744942i	$0.732477\pi$
$830$	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	−0.575052	−	0.818117i	$-0.695018\pi$
$839$	328.333	−	902.088i	0.391339	−	1.07519i	0.966391	−	0.257077i	$-0.0827595\pi$
$840$	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	−0.977295	−	0.211884i	$-0.932040\pi$
$853$	−112.090	−	635.694i	−0.131407	−	0.745245i	0.845888	−	0.533361i	$-0.179071\pi$
$854$	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	−0.678087	−	0.734982i	$-0.737191\pi$
$857$	−61.7208	+	51.7899i	−0.0720196	+	0.0604316i	0.606067	+	0.795413i	$0.292746\pi$
$858$	−144.752	−	730.429i	−0.168709	−	0.851316i
$859$	152.417	+	26.8752i	0.177435	+	0.0312866i	0.261660	−	0.965160i	$-0.415730\pi$
$859$	152.417	+	26.8752i	0.177435	+	0.0312866i	−0.0842245	+	0.996447i	$0.526841\pi$
$860$	−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	$0.00552472\pi$
$863$			29.9557i			0.0347111i	−0.999849	+	0.0173556i	$0.994475\pi$
$864$	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	−0.999123	−	0.0418712i	$-0.986668\pi$
$877$	−1523.86	+	554.639i	−1.73758	+	0.632428i	−0.738458	+	0.674299i	$0.764446\pi$
$878$	−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	−0.927384	−	0.374111i	$-0.877948\pi$
$881$	−123.078	+	213.177i	−0.139703	+	0.241972i	0.787681	+	0.616083i	$0.211281\pi$
$882$	429.000	+	331.365i	0.486395	+	0.375698i
$883$	−649.429	+	374.948i	−0.735481	+	0.424630i	−0.820424	−	0.571756i	$-0.806262\pi$
$883$	−649.429	+	374.948i	−0.735481	+	0.424630i	0.0849433	+	0.996386i	$0.472929\pi$
$884$	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	−0.820802	−	0.571213i	$-0.806473\pi$
$887$	−102.658	+	122.344i	−0.115737	+	0.137930i	0.705065	+	0.709142i	$0.250918\pi$
$888$	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	−0.375230	−	0.926932i	$-0.622436\pi$
$907$	−372.598	+	65.6990i	−0.410802	+	0.0724355i	−0.0355719	+	0.999367i	$0.511325\pi$
$908$	−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	0.997046	+	0.0768047i	$0.0244718\pi$
$911$	819.489	+	976.629i	0.899549	+	1.07204i	−0.0974974	+	0.995236i	$0.531084\pi$
$912$	−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	$0.0972682\pi$
$919$			552.951i			0.601687i	−0.953673	+	0.300844i	$0.902732\pi$
$920$	−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	0.998261	−	0.0589551i	$-0.0187769\pi$
$929$	37.1959	+	210.948i	0.0400386	+	0.227070i	−0.958222	+	0.286026i	$0.907666\pi$
$930$	−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	0.966778	−	0.255617i	$-0.0822787\pi$
$937$	245.511	+	425.237i	0.262018	+	0.453829i	−0.704760	+	0.709446i	$0.748945\pi$
$938$	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	−0.932694	−	0.360668i	$-0.882549\pi$
$941$	−1364.30	−	1144.79i	−1.44984	−	1.21656i	−0.517150	−	0.855895i	$-0.673007\pi$
$942$	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	0.696887	+	0.717180i	$0.254568\pi$
$947$	−282.162	+	775.235i	−0.297954	+	0.818622i	−0.994842	+	0.101441i	$0.967655\pi$
$948$	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	0.827140	+	0.561996i	$0.189966\pi$
$953$	857.960	+	1486.03i	0.900273	+	1.55932i	0.0731332	+	0.997322i	$0.476700\pi$
$954$	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	0.303875	−	0.952712i	$-0.401719\pi$
$967$	254.880	+	44.9423i	0.263578	+	0.0464760i	−0.0402972	+	0.999188i	$0.512830\pi$
$968$	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	$0.247481\pi$
$971$			1362.29i			1.40298i	−0.712681	+	0.701488i	$0.752519\pi$
$972$	−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	0.729251	+	0.684246i	$0.239869\pi$
$977$	−185.676	+	1053.02i	−0.190047	+	1.07781i	−0.919298	+	0.393562i	$0.871243\pi$
$978$	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	0.0479229	−	0.998851i	$-0.484740\pi$
$983$	427.195	−	75.3260i	0.434583	−	0.0766287i	0.386660	+	0.922222i	$0.373629\pi$
$984$	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	0.00574052	−	0.999984i	$-0.498173\pi$
$991$	866.750	−	500.419i	0.874622	−	0.504963i	0.868881	+	0.495020i	$0.164839\pi$
$992$	−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	0.724820	−	0.688938i	$-0.241923\pi$
$997$	834.713	+	303.811i	0.837225	+	0.304725i	0.112404	+	0.993663i	$0.464145\pi$
$998$	−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.31.20	yes	204
3.2	odd	2		324.3.j.a.307.15		204
4.3	odd	2	inner	108.3.j.a.31.13	yes	204
12.11	even	2		324.3.j.a.307.22		204
27.7	even	9	inner	108.3.j.a.7.13	✓	204
27.20	odd	18		324.3.j.a.19.22		204
108.7	odd	18	inner	108.3.j.a.7.20	yes	204
108.47	even	18		324.3.j.a.19.15		204

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
108.3.j.a.7.13	✓	204	27.7	even	9	inner
108.3.j.a.7.20	yes	204	108.7	odd	18	inner
108.3.j.a.31.13	yes	204	4.3	odd	2	inner
108.3.j.a.31.20	yes	204	1.1	even	1	trivial
324.3.j.a.19.15		204	108.47	even	18
324.3.j.a.19.22		204	27.20	odd	18
324.3.j.a.307.15		204	3.2	odd	2
324.3.j.a.307.22		204	12.11	even	2

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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