LMFDB - Embedded newform 144.3.w.a.5.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [144,3,Mod(5,144)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(144, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([0, 3, 10]))

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

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

chi := DirichletCharacter("144.5");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 144 = 2^{4} \cdot 3^{2} $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	144.w (of order $12$, degree $4$, 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:	$3.92371580679$
Analytic rank:	$0$
Dimension:	$184$
Relative dimension:	$46$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			5.7
Character	$\chi$	$=$	144.5
Dual form			144.3.w.a.29.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.79350 - 0.885072i) q^{2} +(0.352522 - 2.97922i) q^{3} +(2.43329 + 3.17476i) q^{4} +(0.899691 + 3.35769i) q^{5} +(-3.26907 + 5.03122i) q^{6} +(-9.56176 + 5.52049i) q^{7} +(-1.55423 - 7.84757i) q^{8} +(-8.75146 - 2.10048i) q^{9} +O(q^{10})$	\(q+(-1.79350 - 0.885072i) q^{2} +(0.352522 - 2.97922i) q^{3} +(2.43329 + 3.17476i) q^{4} +(0.899691 + 3.35769i) q^{5} +(-3.26907 + 5.03122i) q^{6} +(-9.56176 + 5.52049i) q^{7} +(-1.55423 - 7.84757i) q^{8} +(-8.75146 - 2.10048i) q^{9} +(1.35820 - 6.81832i) q^{10} +(-13.6457 - 3.65635i) q^{11} +(10.3161 - 6.13014i) q^{12} +(3.24202 + 12.0994i) q^{13} +(22.0351 - 1.43815i) q^{14} +(10.3205 - 1.49671i) q^{15} +(-4.15816 + 15.4502i) q^{16} -3.35825i q^{17} +(13.8367 + 11.5129i) q^{18} +(-20.7129 + 20.7129i) q^{19} +(-8.47065 + 11.0266i) q^{20} +(13.0760 + 30.4326i) q^{21} +(21.2374 + 18.6351i) q^{22} +(5.31262 - 9.20173i) q^{23} +(-23.9275 + 1.86394i) q^{24} +(11.1860 - 6.45822i) q^{25} +(4.89426 - 24.5697i) q^{26} +(-9.34286 + 25.3320i) q^{27} +(-40.7928 - 16.9233i) q^{28} +(5.51793 - 20.5932i) q^{29} +(-19.8345 - 6.44999i) q^{30} +(-7.98977 + 13.8387i) q^{31} +(21.1322 - 24.0297i) q^{32} +(-15.7035 + 39.3645i) q^{33} +(-2.97229 + 6.02302i) q^{34} +(-27.1387 - 27.1387i) q^{35} +(-14.6264 - 32.8948i) q^{36} +(5.43006 + 5.43006i) q^{37} +(55.4811 - 18.8162i) q^{38} +(37.1895 - 5.39338i) q^{39} +(24.9514 - 12.2790i) q^{40} +(-33.7565 + 58.4680i) q^{41} +(3.48329 - 66.1542i) q^{42} +(17.6396 - 65.8318i) q^{43} +(-21.5960 - 52.2188i) q^{44} +(-0.820845 - 31.2745i) q^{45} +(-17.6724 + 11.8013i) q^{46} +(4.11217 - 2.37416i) q^{47} +(44.5637 + 17.8346i) q^{48} +(36.4515 - 63.1359i) q^{49} +(-25.7780 + 1.68244i) q^{50} +(-10.0049 - 1.18386i) q^{51} +(-30.5238 + 39.7340i) q^{52} +(-38.8691 + 38.8691i) q^{53} +(39.1771 - 37.1639i) q^{54} -49.1077i q^{55} +(58.1836 + 66.4565i) q^{56} +(54.4065 + 69.0100i) q^{57} +(-28.1229 + 32.0502i) q^{58} +(-26.1101 - 97.4442i) q^{59} +(29.8644 + 29.1230i) q^{60} +(-83.6635 - 22.4176i) q^{61} +(26.5779 - 17.7482i) q^{62} +(95.2750 - 28.2280i) q^{63} +(-59.1687 + 24.3938i) q^{64} +(-37.7092 + 21.7714i) q^{65} +(63.0047 - 56.7017i) q^{66} +(5.02385 + 18.7493i) q^{67} +(10.6616 - 8.17160i) q^{68} +(-25.5411 - 19.0713i) q^{69} +(24.6536 + 72.6931i) q^{70} -5.30777 q^{71} +(-2.88190 + 71.9423i) q^{72} +26.3975i q^{73} +(-4.93283 - 14.5448i) q^{74} +(-15.2971 - 35.6021i) q^{75} +(-116.159 - 15.3578i) q^{76} +(150.662 - 40.3697i) q^{77} +(-71.4730 - 23.2424i) q^{78} +(10.9444 + 18.9562i) q^{79} +(-55.6182 - 0.0613761i) q^{80} +(72.1760 + 36.7645i) q^{81} +(112.291 - 74.9854i) q^{82} +(-26.9215 + 100.472i) q^{83} +(-64.7985 + 115.565i) q^{84} +(11.2760 - 3.02138i) q^{85} +(-89.9025 + 102.457i) q^{86} +(-59.4064 - 23.6987i) q^{87} +(-7.48497 + 112.768i) q^{88} +6.78644 q^{89} +(-26.2080 + 56.8174i) q^{90} +(-97.7939 - 97.7939i) q^{91} +(42.1404 - 5.52424i) q^{92} +(38.4119 + 28.6817i) q^{93} +(-9.47649 + 0.618496i) q^{94} +(-88.1829 - 50.9124i) q^{95} +(-64.1402 - 71.4285i) q^{96} +(-2.33267 - 4.04031i) q^{97} +(-121.256 + 80.9721i) q^{98} +(111.740 + 60.6609i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 184 q - 6 q^{2} - 4 q^{3} - 2 q^{4} - 6 q^{5} - 10 q^{6}+O(q^{10}) $ 184 * q - 6 * q^2 - 4 * q^3 - 2 * q^4 - 6 * q^5 - 10 * q^6	$ 184 q - 6 q^{2} - 4 q^{3} - 2 q^{4} - 6 q^{5} - 10 q^{6} - 8 q^{10} - 6 q^{11} - 64 q^{12} - 2 q^{13} - 6 q^{14} - 8 q^{15} - 2 q^{16} + 54 q^{18} - 8 q^{19} + 120 q^{20} - 22 q^{21} - 2 q^{22} - 160 q^{24} + 44 q^{27} - 72 q^{28} - 6 q^{29} - 90 q^{30} - 4 q^{31} - 6 q^{32} - 8 q^{33} + 6 q^{34} - 202 q^{36} - 8 q^{37} - 6 q^{38} - 2 q^{40} + 44 q^{42} - 2 q^{43} + 46 q^{45} - 160 q^{46} - 12 q^{47} - 118 q^{48} + 472 q^{49} + 228 q^{50} - 48 q^{51} - 2 q^{52} + 206 q^{54} - 300 q^{56} - 92 q^{58} - 438 q^{59} - 90 q^{60} - 2 q^{61} - 204 q^{63} + 244 q^{64} - 12 q^{65} - 508 q^{66} - 2 q^{67} - 144 q^{68} + 14 q^{69} + 96 q^{70} + 6 q^{72} + 246 q^{74} + 152 q^{75} - 158 q^{76} - 6 q^{77} + 304 q^{78} - 4 q^{79} - 8 q^{81} - 388 q^{82} - 726 q^{83} + 542 q^{84} + 48 q^{85} + 894 q^{86} + 22 q^{88} - 528 q^{90} - 204 q^{91} - 348 q^{92} + 62 q^{93} - 18 q^{94} - 12 q^{95} + 262 q^{96} - 4 q^{97} + 286 q^{99}+O(q^{100}) $ 184 * q - 6 * q^2 - 4 * q^3 - 2 * q^4 - 6 * q^5 - 10 * q^6 - 8 * q^10 - 6 * q^11 - 64 * q^12 - 2 * q^13 - 6 * q^14 - 8 * q^15 - 2 * q^16 + 54 * q^18 - 8 * q^19 + 120 * q^20 - 22 * q^21 - 2 * q^22 - 160 * q^24 + 44 * q^27 - 72 * q^28 - 6 * q^29 - 90 * q^30 - 4 * q^31 - 6 * q^32 - 8 * q^33 + 6 * q^34 - 202 * q^36 - 8 * q^37 - 6 * q^38 - 2 * q^40 + 44 * q^42 - 2 * q^43 + 46 * q^45 - 160 * q^46 - 12 * q^47 - 118 * q^48 + 472 * q^49 + 228 * q^50 - 48 * q^51 - 2 * q^52 + 206 * q^54 - 300 * q^56 - 92 * q^58 - 438 * q^59 - 90 * q^60 - 2 * q^61 - 204 * q^63 + 244 * q^64 - 12 * q^65 - 508 * q^66 - 2 * q^67 - 144 * q^68 + 14 * q^69 + 96 * q^70 + 6 * q^72 + 246 * q^74 + 152 * q^75 - 158 * q^76 - 6 * q^77 + 304 * q^78 - 4 * q^79 - 8 * q^81 - 388 * q^82 - 726 * q^83 + 542 * q^84 + 48 * q^85 + 894 * q^86 + 22 * q^88 - 528 * q^90 - 204 * q^91 - 348 * q^92 + 62 * q^93 - 18 * q^94 - 12 * q^95 + 262 * q^96 - 4 * q^97 + 286 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/144\mathbb{Z}\right)^\times$.

$n$	$37$	$65$	$127$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{5}{6}\right)$	$1$

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 $

$2$	−1.79350	−	0.885072i	−0.896751	−	0.442536i
$2$	−1.79350	−	0.885072i	−0.896751	−	0.442536i
$3$	0.352522	−	2.97922i	0.117507	−	0.993072i
$3$	0.352522	−	2.97922i	0.117507	−	0.993072i
$4$	2.43329	+	3.17476i	0.608324	+	0.793689i
$5$	0.899691	+	3.35769i	0.179938	+	0.671539i	0.995658	+	0.0930909i	$0.0296747\pi$
$5$	0.899691	+	3.35769i	0.179938	+	0.671539i	−0.815719	+	0.578448i	$0.803659\pi$
$6$	−3.26907	+	5.03122i	−0.544845	+	0.838537i
$7$	−9.56176	+	5.52049i	−1.36597	+	0.788641i	−0.990410	−	0.138159i	$-0.955882\pi$
$7$	−9.56176	+	5.52049i	−1.36597	+	0.788641i	−0.375556	+	0.926800i	$0.622548\pi$
$8$	−1.55423	−	7.84757i	−0.194279	−	0.980946i
$9$	−8.75146	−	2.10048i	−0.972384	−	0.233387i
$10$	1.35820	−	6.81832i	0.135820	−	0.681832i
$11$	−13.6457	−	3.65635i	−1.24052	−	0.332396i	−0.421852	−	0.906665i	$-0.638620\pi$
$11$	−13.6457	−	3.65635i	−1.24052	−	0.332396i	−0.818667	+	0.574269i	$0.805286\pi$
$12$	10.3161	−	6.13014i	0.859673	−	0.510845i
$13$	3.24202	+	12.0994i	0.249386	+	0.930722i	0.971128	+	0.238559i	$0.0766751\pi$
$13$	3.24202	+	12.0994i	0.249386	+	0.930722i	−0.721742	+	0.692162i	$0.756658\pi$
$14$	22.0351	−	1.43815i	1.57393	−	0.102725i
$15$	10.3205	−	1.49671i	0.688030	−	0.0997809i
$16$	−4.15816	+	15.4502i	−0.259885	+	0.965640i
$17$		−	3.35825i		−	0.197544i	−0.995110	−	0.0987719i	$-0.968509\pi$
$17$		−	3.35825i		−	0.197544i	0.995110	−	0.0987719i	$-0.0314914\pi$
$18$	13.8367	+	11.5129i	0.768704	+	0.639605i
$19$	−20.7129	+	20.7129i	−1.09015	+	1.09015i	−0.0946427	+	0.995511i	$0.530171\pi$
$19$	−20.7129	+	20.7129i	−1.09015	+	1.09015i	−0.995511	+	0.0946427i	$0.969829\pi$
$20$	−8.47065	+	11.0266i	−0.423532	+	0.551328i
$21$	13.0760	+	30.4326i	0.622666	+	1.44917i
$22$	21.2374	+	18.6351i	0.965339	+	0.847050i
$23$	5.31262	−	9.20173i	0.230983	−	0.400075i	−0.727114	−	0.686516i	$-0.759139\pi$
$23$	5.31262	−	9.20173i	0.230983	−	0.400075i	0.958098	+	0.286441i	$0.0924723\pi$
$24$	−23.9275	+	1.86394i	−0.996980	+	0.0776641i
$25$	11.1860	−	6.45822i	0.447439	−	0.258329i
$26$	4.89426	−	24.5697i	0.188241	−	0.944987i
$27$	−9.34286	+	25.3320i	−0.346032	+	0.938223i
$28$	−40.7928	−	16.9233i	−1.45688	−	0.604404i
$29$	5.51793	−	20.5932i	0.190274	−	0.710111i	−0.803166	−	0.595755i	$-0.796853\pi$
$29$	5.51793	−	20.5932i	0.190274	−	0.710111i	0.993440	−	0.114356i	$-0.0364804\pi$
$30$	−19.8345	−	6.44999i	−0.661148	−	0.215000i
$31$	−7.98977	+	13.8387i	−0.257734	+	0.446409i	−0.965635	−	0.259903i	$-0.916309\pi$
$31$	−7.98977	+	13.8387i	−0.257734	+	0.446409i	0.707900	+	0.706312i	$0.249643\pi$
$32$	21.1322	−	24.0297i	0.660382	−	0.750930i
$33$	−15.7035	+	39.3645i	−0.475863	+	1.19287i
$34$	−2.97229	+	6.02302i	−0.0874203	+	0.177148i
$35$	−27.1387	−	27.1387i	−0.775392	−	0.775392i
$36$	−14.6264	−	32.8948i	−0.406288	−	0.913745i
$37$	5.43006	+	5.43006i	0.146758	+	0.146758i	0.776668	−	0.629910i	$-0.216908\pi$
$37$	5.43006	+	5.43006i	0.146758	+	0.146758i	−0.629910	+	0.776668i	$0.716908\pi$
$38$	55.4811	−	18.8162i	1.46003	−	0.495164i
$39$	37.1895	−	5.39338i	0.953578	−	0.138292i
$40$	24.9514	−	12.2790i	0.623785	−	0.306975i
$41$	−33.7565	+	58.4680i	−0.823329	+	1.42605i	0.0798604	+	0.996806i	$0.474553\pi$
$41$	−33.7565	+	58.4680i	−0.823329	+	1.42605i	−0.903190	+	0.429242i	$0.858781\pi$
$42$	3.48329	−	66.1542i	0.0829354	−	1.57510i
$43$	17.6396	−	65.8318i	0.410223	−	1.53097i	−0.383992	−	0.923336i	$-0.625451\pi$
$43$	17.6396	−	65.8318i	0.410223	−	1.53097i	0.794215	−	0.607636i	$-0.207882\pi$
$44$	−21.5960	−	52.2188i	−0.490818	−	1.18679i
$45$	−0.820845	−	31.2745i	−0.0182410	−	0.694989i
$46$	−17.6724	+	11.8013i	−0.384182	+	0.256549i
$47$	4.11217	−	2.37416i	0.0874930	−	0.0505141i	−0.455615	−	0.890177i	$-0.650581\pi$
$47$	4.11217	−	2.37416i	0.0874930	−	0.0505141i	0.543108	+	0.839663i	$0.317247\pi$
$48$	44.5637	+	17.8346i	0.928411	+	0.371554i
$49$	36.4515	−	63.1359i	0.743909	−	1.28849i
$50$	−25.7780	+	1.68244i	−0.515561	+	0.0336488i
$51$	−10.0049	−	1.18386i	−0.196175	−	0.0232129i
$52$	−30.5238	+	39.7340i	−0.586996	+	0.764115i
$53$	−38.8691	+	38.8691i	−0.733380	+	0.733380i	−0.971288	−	0.237908i	$-0.923538\pi$
$53$	−38.8691	+	38.8691i	−0.733380	+	0.733380i	0.237908	+	0.971288i	$0.423538\pi$
$54$	39.1771	−	37.1639i	0.725502	−	0.688220i
$55$		−	49.1077i		−	0.892867i
$56$	58.1836	+	66.4565i	1.03899	+	1.18672i
$57$	54.4065	+	69.0100i	0.954500	+	1.21070i
$58$	−28.1229	+	32.0502i	−0.484878	+	0.552589i
$59$	−26.1101	−	97.4442i	−0.442544	−	1.65160i	−0.722340	−	0.691538i	$-0.756934\pi$
$59$	−26.1101	−	97.4442i	−0.442544	−	1.65160i	0.279796	−	0.960059i	$-0.409733\pi$
$60$	29.8644	+	29.1230i	0.497740	+	0.485383i
$61$	−83.6635	−	22.4176i	−1.37153	−	0.367501i	−0.503495	−	0.863998i	$-0.667953\pi$
$61$	−83.6635	−	22.4176i	−1.37153	−	0.367501i	−0.868039	+	0.496497i	$0.834619\pi$
$62$	26.5779	−	17.7482i	0.428676	−	0.286261i
$63$	95.2750	−	28.2280i	1.51230	−	0.448064i
$64$	−59.1687	+	24.3938i	−0.924512	+	0.381154i
$65$	−37.7092	+	21.7714i	−0.580141	+	0.334945i
$66$	63.0047	−	56.7017i	0.954616	−	0.859116i
$67$	5.02385	+	18.7493i	0.0749829	+	0.279840i	0.993229	−	0.116169i	$-0.0370615\pi$
$67$	5.02385	+	18.7493i	0.0749829	+	0.279840i	−0.918247	+	0.396009i	$0.870395\pi$
$68$	10.6616	−	8.17160i	0.156788	−	0.120171i
$69$	−25.5411	−	19.0713i	−0.370161	−	0.276395i
$70$	24.6536	+	72.6931i	0.352195	+	1.03847i
$71$	−5.30777			−0.0747573			−0.0373787	−	0.999301i	$-0.511901\pi$
$71$	−5.30777			−0.0747573			−0.0373787	+	0.999301i	$0.511901\pi$
$72$	−2.88190	+	71.9423i	−0.0400264	+	0.999199i
$73$			26.3975i			0.361610i	0.983519	+	0.180805i	$0.0578703\pi$
$73$			26.3975i			0.361610i	−0.983519	+	0.180805i	$0.942130\pi$
$74$	−4.93283	−	14.5448i	−0.0666598	−	0.196552i
$75$	−15.2971	−	35.6021i	−0.203962	−	0.474695i
$76$	−116.159	−	15.3578i	−1.52841	−	0.202077i
$77$	150.662	−	40.3697i	1.95665	−	0.524282i
$78$	−71.4730	−	23.2424i	−0.916321	−	0.297980i
$79$	10.9444	+	18.9562i	0.138537	+	0.239952i	0.926943	−	0.375202i	$-0.122427\pi$
$79$	10.9444	+	18.9562i	0.138537	+	0.239952i	−0.788406	+	0.615155i	$0.789093\pi$
$80$	−55.6182	−	0.0613761i	−0.695228	−	0.000767201i
$81$	72.1760	+	36.7645i	0.891061	+	0.453883i
$82$	112.291	−	74.9854i	1.36940	−	0.914457i
$83$	−26.9215	+	100.472i	−0.324355	+	1.21051i	0.590604	+	0.806962i	$0.298890\pi$
$83$	−26.9215	+	100.472i	−0.324355	+	1.21051i	−0.914959	+	0.403547i	$0.867777\pi$
$84$	−64.7985	+	115.565i	−0.771411	+	1.37577i
$85$	11.2760	−	3.02138i	0.132658	−	0.0355457i
$86$	−89.9025	+	102.457i	−1.04538	+	1.19136i
$87$	−59.4064	−	23.6987i	−0.682832	−	0.272399i
$88$	−7.48497	+	112.768i	−0.0850565	+	1.28146i
$89$	6.78644			0.0762522			0.0381261	−	0.999273i	$-0.487861\pi$
$89$	6.78644			0.0762522			0.0381261	+	0.999273i	$0.487861\pi$
$90$	−26.2080	+	56.8174i	−0.291200	+	0.631304i
$91$	−97.7939	−	97.7939i	−1.07466	−	1.07466i
$92$	42.1404	−	5.52424i	0.458048	−	0.0600461i
$93$	38.4119	+	28.6817i	0.413031	+	0.308405i
$94$	−9.47649	+	0.618496i	−0.100814	+	0.00657975i
$95$	−88.1829	−	50.9124i	−0.928241	−	0.535920i
$96$	−64.1402	−	71.4285i	−0.668127	−	0.744047i
$97$	−2.33267	−	4.04031i	−0.0240482	−	0.0416527i	0.853751	−	0.520682i	$-0.174322\pi$
$97$	−2.33267	−	4.04031i	−0.0240482	−	0.0416527i	−0.877799	+	0.479029i	$0.840989\pi$
$98$	−121.256	+	80.9721i	−1.23730	+	0.826246i
$99$	111.740	+	60.6609i	1.12868	+	0.612737i
$100$	47.7220	+	19.7980i	0.477220	+	0.197980i
$101$	−71.4705	−	19.1505i	−0.707629	−	0.189609i	−0.112984	−	0.993597i	$-0.536041\pi$
$101$	−71.4705	−	19.1505i	−0.707629	−	0.189609i	−0.594645	+	0.803988i	$0.702707\pi$
$102$	16.8961	+	10.9783i	0.165648	+	0.107631i
$103$	147.594	+	85.2134i	1.43295	+	0.827315i	0.997345	−	0.0728222i	$-0.0232006\pi$
$103$	147.594	+	85.2134i	1.43295	+	0.827315i	0.435607	+	0.900137i	$0.356534\pi$
$104$	89.9119	−	44.2472i	0.864538	−	0.425454i
$105$	−90.4192	+	71.2852i	−0.861135	+	0.678906i
$106$	104.114	−	35.3099i	0.982206	−	0.333112i
$107$	−93.9944	+	93.9944i	−0.878453	+	0.878453i	−0.993375	−	0.114922i	$-0.963338\pi$
$107$	−93.9944	+	93.9944i	−0.878453	+	0.878453i	0.114922	+	0.993375i	$0.463338\pi$
$108$	−103.157	+	31.9789i	−0.955157	+	0.296101i
$109$	64.2200	−	64.2200i	0.589174	−	0.589174i	−0.348234	−	0.937408i	$-0.613218\pi$
$109$	64.2200	−	64.2200i	0.589174	−	0.589174i	0.937408	+	0.348234i	$0.113218\pi$
$110$	−43.4638	+	88.0747i	−0.395126	+	0.800679i
$111$	18.0915	−	14.2631i	0.162987	−	0.128497i
$112$	−45.5335	−	170.687i	−0.406549	−	1.52399i
$113$	39.7611	+	22.9561i	0.351868	+	0.203151i	0.665508	−	0.746391i	$-0.268215\pi$
$113$	39.7611	+	22.9561i	0.351868	+	0.203151i	−0.313640	+	0.949542i	$0.601548\pi$
$114$	−36.4993	−	171.923i	−0.320169	−	1.50810i
$115$	35.6763	+	9.55944i	0.310229	+	0.0831255i
$116$	78.8052	−	32.5912i	0.679355	−	0.280959i
$117$	−2.95790	−	112.697i	−0.0252812	−	0.963222i
$118$	−39.4167	+	197.876i	−0.334040	+	1.67691i
$119$	18.5391	+	32.1107i	0.155791	+	0.269838i
$120$	−27.7859	−	78.6643i	−0.231549	−	0.655536i
$121$	68.0472	+	39.2871i	0.562373	+	0.324686i
$122$	130.210	+	114.254i	1.06729	+	0.936510i
$123$	162.289	+	121.179i	1.31942	+	0.985196i
$124$	−63.3759	+	8.30803i	−0.511096	+	0.0670002i
$125$	93.1987	+	93.1987i	0.745590	+	0.745590i
$126$	−195.860	−	33.6983i	−1.55444	−	0.267447i
$127$	219.086			1.72509			0.862543	−	0.505984i	$-0.168870\pi$
$127$	219.086			1.72509			0.862543	+	0.505984i	$0.168870\pi$
$128$	127.710	+	8.61824i	0.997731	+	0.0673300i
$129$	−189.909	−	75.7593i	−1.47216	−	0.587281i
$130$	86.9008	−	5.67170i	0.668467	−	0.0436285i
$131$	25.6365	−	6.86928i	0.195699	−	0.0524373i	−0.159638	−	0.987176i	$-0.551033\pi$
$131$	25.6365	−	6.86928i	0.195699	−	0.0524373i	0.355337	+	0.934738i	$0.384366\pi$
$132$	−163.184	+	45.9308i	−1.23624	+	0.347961i
$133$	83.7067	−	312.397i	0.629373	−	2.34885i
$134$	7.58417	−	38.0733i	0.0565983	−	0.284129i
$135$	−93.4628	−	8.57948i	−0.692317	−	0.0635517i
$136$	−26.3541	+	5.21948i	−0.193780	+	0.0383785i
$137$	−0.138377	−	0.239677i	−0.00101005	−	0.00174947i	0.865520	−	0.500874i	$-0.166988\pi$
$137$	−0.138377	−	0.239677i	−0.00101005	−	0.00174947i	−0.866530	+	0.499125i	$0.833655\pi$
$138$	28.9286	+	56.8100i	0.209627	+	0.411667i
$139$	−171.055	+	45.8340i	−1.23061	+	0.329741i	−0.814817	−	0.579719i	$-0.803162\pi$
$139$	−171.055	+	45.8340i	−1.23061	+	0.329741i	−0.415792	+	0.909460i	$0.636496\pi$
$140$	20.1223	−	152.195i	0.143731	−	1.08711i
$141$	−5.62351	−	13.0880i	−0.0398831	−	0.0928226i
$142$	9.51949	+	4.69776i	0.0670387	+	0.0330828i
$143$		−	176.958i		−	1.23747i
$144$	68.8428	−	126.478i	0.478075	−	0.878319i
$145$	74.1101			0.511104
$146$	23.3637	−	47.3440i	0.160025	−	0.324274i
$147$	−175.246	−	130.854i	−1.19215	−	0.890162i
$148$	−4.02619	+	30.4521i	−0.0272040	+	0.205757i
$149$	−3.17865	−	11.8629i	−0.0213332	−	0.0796166i	0.954439	−	0.298407i	$-0.0964554\pi$
$149$	−3.17865	−	11.8629i	−0.0213332	−	0.0796166i	−0.975772	+	0.218791i	$0.929789\pi$
$150$	−4.07498	+	77.3915i	−0.0271665	+	0.515943i
$151$	−201.814	+	116.517i	−1.33652	+	0.771639i	−0.986289	−	0.165026i	$-0.947229\pi$
$151$	−201.814	+	116.517i	−1.33652	+	0.771639i	−0.350228	+	0.936664i	$0.613896\pi$
$152$	194.739	+	130.354i	1.28118	+	0.857589i
$153$	−7.05392	+	29.3895i	−0.0461041	+	0.192089i
$154$	−305.942	−	60.9434i	−1.98664	−	0.395737i
$155$	−53.6544	−	14.3767i	−0.346157	−	0.0927526i
$156$	107.616	+	104.944i	0.689845	+	0.672719i
$157$	−34.2246	−	127.728i	−0.217991	−	0.813554i	−0.985092	−	0.172028i	$-0.944968\pi$
$157$	−34.2246	−	127.728i	−0.217991	−	0.813554i	0.767101	−	0.641527i	$-0.221699\pi$
$158$	−2.85114	−	43.6846i	−0.0180452	−	0.276485i
$159$	102.097	+	129.502i	0.642121	+	0.814477i
$160$	99.6970	+	49.3362i	0.623106	+	0.308351i
$161$			117.313i			0.728652i
$162$	−96.9085	−	129.818i	−0.598200	−	0.801346i
$163$	67.3055	−	67.3055i	0.412917	−	0.412917i	−0.469836	−	0.882754i	$-0.655687\pi$
$163$	67.3055	−	67.3055i	0.412917	−	0.412917i	0.882754	+	0.469836i	$0.155687\pi$
$164$	−267.761	+	35.1011i	−1.63269	+	0.214031i
$165$	−146.302	−	17.3115i	−0.886681	−	0.104918i
$166$	137.209	−	156.370i	0.826560	−	0.941986i
$167$	75.1904	−	130.234i	0.450242	−	0.779842i	−0.548159	−	0.836374i	$-0.684671\pi$
$167$	75.1904	−	130.234i	0.450242	−	0.779842i	0.998401	+	0.0565320i	$0.0180043\pi$
$168$	218.499	−	149.914i	1.30059	−	0.892345i
$169$	10.4740	−	6.04716i	0.0619763	−	0.0357820i
$170$	−22.8976	−	4.56118i	−0.134692	−	0.0268305i
$171$	224.775	−	137.761i	1.31448	−	0.805621i
$172$	251.922	−	104.187i	1.46466	−	0.605737i
$173$	−43.8621	+	163.696i	−0.253538	+	0.946218i	0.715359	+	0.698757i	$0.246263\pi$
$173$	−43.8621	+	163.696i	−0.253538	+	0.946218i	−0.968898	+	0.247461i	$0.920404\pi$
$174$	85.5705	+	95.0826i	0.491784	+	0.546452i
$175$	−71.3051	+	123.504i	−0.407457	+	0.705737i
$176$	113.233	−	195.626i	0.643367	−	1.11151i
$177$	−299.512	+	43.4364i	−1.69216	+	0.245403i
$178$	−12.1715	−	6.00649i	−0.0683792	−	0.0337443i
$179$	−196.758	−	196.758i	−1.09921	−	1.09921i	−0.994503	−	0.104704i	$-0.966610\pi$
$179$	−196.758	−	196.758i	−1.09921	−	1.09921i	−0.104704	−	0.994503i	$-0.533390\pi$
$180$	97.2915	−	78.7060i	0.540509	−	0.437256i
$181$	110.848	+	110.848i	0.612419	+	0.612419i	0.943576	−	0.331157i	$-0.107439\pi$
$181$	110.848	+	110.848i	0.612419	+	0.612419i	−0.331157	+	0.943576i	$0.607439\pi$
$182$	88.8388	+	261.948i	0.488125	+	1.43928i
$183$	−96.2801	+	241.349i	−0.526121	+	1.31885i
$184$	−80.4682	−	27.3896i	−0.437327	−	0.148856i
$185$	−13.3471	+	23.1179i	−0.0721465	+	0.124961i
$186$	−43.5064	−	85.4379i	−0.233905	−	0.459344i
$187$	−12.2789	+	45.8256i	−0.0656628	+	0.245057i
$188$	17.5435	+	7.27810i	0.0933165	+	0.0387133i
$189$	−50.5108	−	293.796i	−0.267253	−	1.55448i
$190$	113.095	+	169.360i	0.595237	+	0.891367i
$191$	−70.9725	+	40.9760i	−0.371584	+	0.214534i	−0.674150	−	0.738594i	$-0.735490\pi$
$191$	−70.9725	+	40.9760i	−0.371584	+	0.214534i	0.302567	+	0.953128i	$0.402157\pi$
$192$	51.8162	+	184.876i	0.269876	+	0.962895i
$193$	55.5974	−	96.2976i	0.288070	−	0.498951i	−0.685279	−	0.728280i	$-0.740320\pi$
$193$	55.5974	−	96.2976i	0.288070	−	0.498951i	0.973349	+	0.229329i	$0.0736532\pi$
$194$	0.607688	+	9.31088i	0.00313241	+	0.0479942i
$195$	51.5684	+	120.019i	0.264453	+	0.615481i
$196$	289.138	−	37.9035i	1.47520	−	0.193385i
$197$	−66.1071	+	66.1071i	−0.335569	+	0.335569i	−0.854697	−	0.519128i	$-0.826257\pi$
$197$	−66.1071	+	66.1071i	−0.335569	+	0.335569i	0.519128	+	0.854697i	$0.326257\pi$
$198$	−146.716	−	207.693i	−0.740990	−	1.04896i
$199$			333.320i			1.67498i	0.546456	+	0.837488i	$0.315977\pi$
$199$			333.320i			1.67498i	−0.546456	+	0.837488i	$0.684023\pi$
$200$	−68.0669	−	77.7452i	−0.340335	−	0.388726i
$201$	57.6291	−	8.35761i	0.286712	−	0.0415801i
$202$	111.233	+	97.6030i	0.550658	+	0.483183i
$203$	60.9233	+	227.369i	0.300115	+	1.12004i
$204$	−20.5865	−	34.6439i	−0.100914	−	0.169823i
$205$	−226.688	−	60.7409i	−1.10579	−	0.296297i
$206$	−189.290	−	283.462i	−0.918884	−	1.37603i
$207$	−65.8212	+	69.3695i	−0.317977	+	0.335118i
$208$	−200.419	−	0.221167i	−0.963553	−	0.00106330i
$209$	358.376	−	206.909i	1.71472	−	0.989993i
$210$	225.259	−	47.8225i	1.07266	−	0.227726i
$211$	72.1365	+	269.217i	0.341879	+	1.27591i	0.896216	+	0.443618i	$0.146305\pi$
$211$	72.1365	+	269.217i	0.341879	+	1.27591i	−0.554337	+	0.832292i	$0.687028\pi$
$212$	−217.980	−	28.8200i	−1.02821	−	0.135943i
$213$	−1.87111	+	15.8130i	−0.00878453	+	0.0742394i
$214$	251.771	−	85.3873i	1.17650	−	0.399006i
$215$	236.913			1.10192
$216$	213.316	+	33.9470i	0.987573	+	0.157162i
$217$		−	176.430i		−	0.813040i
$218$	−172.018	+	58.3393i	−0.789073	+	0.267612i
$219$	78.6440	+	9.30571i	0.359105	+	0.0424918i
$220$	155.905	−	119.493i	0.708659	−	0.543152i
$221$	40.6327	−	10.8875i	0.183858	−	0.0492647i
$222$	−45.0711	+	9.56859i	−0.203023	+	0.0431018i
$223$	54.4410	+	94.2947i	0.244130	+	0.422846i	0.961887	−	0.273448i	$-0.0881642\pi$
$223$	54.4410	+	94.2947i	0.244130	+	0.422846i	−0.717756	+	0.696294i	$0.754831\pi$
$224$	−69.4055	+	346.427i	−0.309846	+	1.54655i
$225$	−111.459	+	33.0230i	−0.495373	+	0.146769i
$226$	−50.9937	−	76.3631i	−0.225636	−	0.337890i
$227$	−46.9559	+	175.242i	−0.206854	+	0.771990i	0.782022	+	0.623251i	$0.214188\pi$
$227$	−46.9559	+	175.242i	−0.206854	+	0.771990i	−0.988876	+	0.148740i	$0.952478\pi$
$228$	−86.7030	+	340.649i	−0.380276	+	1.49408i
$229$	−328.374	+	87.9876i	−1.43395	+	0.384225i	−0.890410	−	0.455159i	$-0.849582\pi$
$229$	−328.374	+	87.9876i	−1.43395	+	0.384225i	−0.543539	+	0.839384i	$0.682916\pi$
$230$	−55.5247	−	48.7210i	−0.241412	−	0.211830i
$231$	−67.1585	−	463.085i	−0.290729	−	2.00470i
$232$	−170.183	−	11.2958i	−0.733547	−	0.0486889i
$233$	−158.254			−0.679200			−0.339600	−	0.940570i	$-0.610292\pi$
$233$	−158.254			−0.679200			−0.339600	+	0.940570i	$0.610292\pi$
$234$	−94.4400	+	204.740i	−0.403590	+	0.874958i
$235$	11.6714	+	11.6714i	0.0496655	+	0.0496655i
$236$	245.828	−	320.004i	1.04164	−	1.35595i
$237$	60.3329	−	25.9232i	0.254569	−	0.109381i
$238$	−4.82966	−	73.9992i	−0.0202927	−	0.310921i
$239$	284.323	+	164.154i	1.18964	+	0.686837i	0.958224	−	0.286019i	$-0.0923321\pi$
$239$	284.323	+	164.154i	1.18964	+	0.686837i	0.231412	+	0.972856i	$0.425665\pi$
$240$	−19.7895	+	165.677i	−0.0824563	+	0.690321i
$241$	47.0698	+	81.5273i	0.195310	+	0.338287i	0.947002	−	0.321227i	$-0.104095\pi$
$241$	47.0698	+	81.5273i	0.195310	+	0.338287i	−0.751692	+	0.659514i	$0.770762\pi$
$242$	−87.2708	−	130.688i	−0.360623	−	0.540033i
$243$	134.973	−	202.068i	0.555444	−	0.831554i
$244$	−132.408	−	320.160i	−0.542654	−	1.31213i
$245$	244.786	+	65.5902i	0.999127	+	0.267715i
$246$	−183.813	−	360.972i	−0.747207	−	1.46737i
$247$	−317.765	−	183.462i	−1.28650	−	0.742761i
$248$	121.018	+	41.1918i	0.487976	+	0.166096i
$249$	289.838	+	115.624i	1.16401	+	0.464352i
$250$	−84.6644	−	249.640i	−0.338658	−	0.998559i
$251$	−55.6766	+	55.6766i	−0.221819	+	0.221819i	−0.809264	−	0.587445i	$-0.800134\pi$
$251$	−55.6766	+	55.6766i	−0.221819	+	0.221819i	0.587445	+	0.809264i	$0.300134\pi$
$252$	321.449	+	233.788i	1.27559	+	0.927730i
$253$	−106.139	+	106.139i	−0.419522	+	0.419522i
$254$	−392.931	−	193.907i	−1.54697	−	0.763413i
$255$	−5.02633	−	34.6586i	−0.0197111	−	0.135916i
$256$	−221.419	−	128.489i	−0.864920	−	0.501910i
$257$	−334.479	−	193.111i	−1.30147	−	0.751406i	−0.320817	−	0.947141i	$-0.603957\pi$
$257$	−334.479	−	193.111i	−1.30147	−	0.751406i	−0.980657	+	0.195735i	$0.937291\pi$
$258$	273.549	+	303.957i	1.06027	+	1.17813i
$259$	−81.8976	−	21.9444i	−0.316207	−	0.0847274i
$260$	−160.877	−	66.7413i	−0.618756	−	0.256697i
$261$	−91.5456	+	168.630i	−0.350749	+	0.646093i
$262$	−52.0589	−	10.3701i	−0.198698	−	0.0395805i
$263$	109.201	+	189.142i	0.415214	+	0.719171i	0.995451	−	0.0952763i	$-0.0303735\pi$
$263$	109.201	+	189.142i	0.415214	+	0.719171i	−0.580237	+	0.814448i	$0.697040\pi$
$264$	333.323	+	62.0527i	1.26259	+	0.235048i
$265$	−165.481	−	95.5404i	−0.624456	−	0.360530i
$266$	−426.622	+	486.199i	−1.60384	+	1.82782i
$267$	2.39237	−	20.2183i	0.00896019	−	0.0757239i
$268$	−47.2999	+	61.5720i	−0.176492	+	0.229746i
$269$	180.305	+	180.305i	0.670279	+	0.670279i	0.957780	−	0.287501i	$-0.0928245\pi$
$269$	180.305	+	180.305i	0.670279	+	0.670279i	−0.287501	+	0.957780i	$0.592825\pi$
$270$	160.032	+	98.1087i	0.592712	+	0.363365i
$271$	−14.3071			−0.0527937			−0.0263969	−	0.999652i	$-0.508403\pi$
$271$	−14.3071			−0.0527937			−0.0263969	+	0.999652i	$0.508403\pi$
$272$	51.8857	+	13.9641i	0.190756	+	0.0513387i
$273$	−325.824	+	256.875i	−1.19349	+	0.940932i
$274$	0.0360489	+	0.552335i	0.000131565	+	0.00201582i
$275$	−176.254	+	47.2271i	−0.640924	+	0.171735i
$276$	−1.60247	−	127.493i	−0.00580606	−	0.461930i
$277$	−17.6365	+	65.8204i	−0.0636698	+	0.237619i	−0.990426	−	0.138044i	$-0.955918\pi$
$277$	−17.6365	+	65.8204i	−0.0636698	+	0.237619i	0.926756	+	0.375663i	$0.122585\pi$
$278$	347.353	+	69.1924i	1.24947	+	0.248894i
$279$	98.9900	−	104.326i	0.354803	−	0.373929i
$280$	−170.793	+	255.153i	−0.609976	+	0.911261i
$281$	−142.826	−	247.383i	−0.508279	−	0.880365i	−0.999954	−	0.00958616i	$-0.996949\pi$
$281$	−142.826	−	247.383i	−0.508279	−	0.880365i	0.491675	−	0.870779i	$-0.336385\pi$
$282$	−1.49804	+	28.4505i	−0.00531219	+	0.100888i
$283$	−275.380	+	73.7879i	−0.973074	+	0.260734i	−0.710125	−	0.704075i	$-0.751362\pi$
$283$	−275.380	+	73.7879i	−0.973074	+	0.260734i	−0.262949	+	0.964810i	$0.584695\pi$
$284$	−12.9154	−	16.8509i	−0.0454766	−	0.0593341i
$285$	−182.766	+	244.768i	−0.641283	+	0.858836i
$286$	−156.621	+	317.375i	−0.547626	+	1.10970i
$287$		−	745.409i		−	2.59724i
$288$	−235.412	+	165.907i	−0.817402	+	0.576068i
$289$	277.722			0.960976
$290$	−132.917	−	65.5928i	−0.458333	−	0.226182i
$291$	−12.8593	+	5.52524i	−0.0441899	+	0.0189871i
$292$	−83.8057	+	64.2330i	−0.287006	+	0.219976i
$293$	74.0589	+	276.392i	0.252761	+	0.943316i	0.969322	+	0.245792i	$0.0790482\pi$
$293$	74.0589	+	276.392i	0.252761	+	0.943316i	−0.716562	+	0.697524i	$0.754285\pi$
$294$	198.488	+	389.791i	0.675129	+	1.32582i
$295$	303.697	−	175.339i	1.02948	−	0.594371i
$296$	34.1733	−	51.0524i	0.115450	−	0.172474i
$297$	220.113	−	311.512i	0.741120	−	1.04886i
$298$	−4.79859	+	24.0894i	−0.0161027	+	0.0808370i
$299$	128.559	+	34.4472i	0.429963	+	0.115208i
$300$	75.8055	−	135.195i	0.252685	−	0.450650i
$301$	194.758	+	726.847i	0.647037	+	2.41478i
$302$	465.080	−	30.3541i	1.54000	−	0.100510i
$303$	−82.2483	+	206.175i	−0.271447	+	0.680446i
$304$	−233.892	−	406.147i	−0.769381	−	1.33601i
$305$		−	301.085i		−	0.987165i
$306$	38.6631	−	46.4670i	0.126350	−	0.151853i
$307$	98.8212	−	98.8212i	0.321893	−	0.321893i	−0.527600	−	0.849493i	$-0.676908\pi$
$307$	98.8212	−	98.8212i	0.321893	−	0.321893i	0.849493	+	0.527600i	$0.176908\pi$
$308$	494.769	+	380.083i	1.60639	+	1.23404i
$309$	305.899	−	409.675i	0.989966	−	1.32581i
$310$	83.5049	+	73.2726i	0.269371	+	0.236363i
$311$	2.88217	−	4.99206i	0.00926742	−	0.0160516i	−0.861355	−	0.508004i	$-0.830383\pi$
$311$	2.88217	−	4.99206i	0.00926742	−	0.0160516i	0.870622	+	0.491953i	$0.163717\pi$
$312$	−100.126	−	283.465i	−0.320917	−	0.908542i
$313$	−25.7673	+	14.8768i	−0.0823236	+	0.0475296i	−0.540597	−	0.841282i	$-0.681801\pi$
$313$	−25.7673	+	14.8768i	−0.0823236	+	0.0475296i	0.458273	+	0.888811i	$0.348468\pi$
$314$	−51.6666	+	259.372i	−0.164543	+	0.826024i
$315$	180.499	+	294.508i	0.573013	+	0.934945i
$316$	−33.5505	+	80.8719i	−0.106173	+	0.255924i
$317$	103.728	−	387.120i	0.327219	−	1.22120i	−0.584843	−	0.811147i	$-0.698844\pi$
$317$	103.728	−	387.120i	0.327219	−	1.22120i	0.912062	−	0.410052i	$-0.134489\pi$
$318$	−68.4933	−	322.625i	−0.215388	−	1.01454i
$319$	−150.592	+	260.833i	−0.472076	+	0.817659i
$320$	−135.141	−	176.724i	−0.422314	−	0.552261i
$321$	246.895	+	313.165i	0.769142	+	0.975591i
$322$	103.830	−	210.401i	0.322455	−	0.653419i
$323$	69.5591	+	69.5591i	0.215353	+	0.215353i
$324$	58.9071	+	318.600i	0.181812	+	0.983333i
$325$	114.406	+	114.406i	0.352017	+	0.352017i
$326$	−180.283	+	61.1423i	−0.553015	+	0.187553i
$327$	−168.686	−	213.964i	−0.515860	−	0.654325i
$328$	511.297	+	174.034i	1.55883	+	0.530591i
$329$	−26.2131	+	45.4024i	−0.0796750	+	0.138001i
$330$	247.072	+	160.536i	0.748702	+	0.486474i
$331$	105.631	−	394.221i	0.319127	−	1.19100i	−0.600957	−	0.799281i	$-0.705214\pi$
$331$	105.631	−	394.221i	0.319127	−	1.19100i	0.920085	−	0.391719i	$-0.128119\pi$
$332$	−384.483	+	159.010i	−1.15808	+	0.478944i
$333$	−36.1152	−	58.9267i	−0.108454	−	0.176957i
$334$	−250.120	+	167.025i	−0.748863	+	0.500076i
$335$	−58.4344	+	33.7371i	−0.174431	+	0.100708i
$336$	−524.564	+	75.4833i	−1.56120	+	0.224653i
$337$	2.76931	−	4.79659i	0.00821754	−	0.0142332i	−0.861887	−	0.507100i	$-0.830718\pi$
$337$	2.76931	−	4.79659i	0.00821754	−	0.0142332i	0.870105	+	0.492867i	$0.164051\pi$
$338$	−24.1373	+	1.57535i	−0.0714121	+	0.00466081i
$339$	82.4077	−	110.364i	0.243091	−	0.325558i
$340$	37.0299	+	28.4465i	0.108911	+	0.0836662i
$341$	159.625	−	159.625i	0.468109	−	0.468109i
$342$	−525.063	+	48.1325i	−1.53527	+	0.140738i
$343$			263.913i			0.769426i
$344$	−544.036	−	36.1102i	−1.58150	−	0.104972i
$345$	41.0563	−	102.917i	0.119004	−	0.298312i
$346$	223.549	−	254.767i	0.646097	−	0.736322i
$347$	−25.2318	−	94.1662i	−0.0727140	−	0.271372i	0.919991	−	0.391939i	$-0.128196\pi$
$347$	−25.2318	−	94.1662i	−0.0727140	−	0.271372i	−0.992705	+	0.120567i	$0.961529\pi$
$348$	−69.3158	−	246.267i	−0.199183	−	0.707663i
$349$	−508.765	−	136.323i	−1.45778	−	0.390611i	−0.559057	−	0.829130i	$-0.688837\pi$
$349$	−508.765	−	136.323i	−1.45778	−	0.390611i	−0.898722	+	0.438519i	$0.855503\pi$
$350$	237.196	−	158.394i	0.677702	−	0.452556i
$351$	−336.791	−	30.9160i	−0.959520	−	0.0880797i
$352$	−376.225	+	250.636i	−1.06882	+	0.712034i
$353$	160.935	−	92.9157i	0.455906	−	0.263217i	−0.254415	−	0.967095i	$-0.581883\pi$
$353$	160.935	−	92.9157i	0.455906	−	0.263217i	0.710321	+	0.703878i	$0.248550\pi$
$354$	575.619	+	187.186i	1.62604	+	0.528775i
$355$	−4.77535	−	17.8219i	−0.0134517	−	0.0502024i
$356$	16.5134	+	21.5453i	0.0463860	+	0.0605205i
$357$	102.200	−	43.9124i	0.286275	−	0.123004i
$358$	178.741	+	527.031i	0.499276	+	1.47215i
$359$	103.860			0.289304			0.144652	−	0.989483i	$-0.453794\pi$
$359$	103.860			0.289304			0.144652	+	0.989483i	$0.453794\pi$
$360$	−244.153	+	55.0493i	−0.678203	+	0.152915i
$361$		−	497.051i		−	1.37687i
$362$	−100.697	−	296.914i	−0.278170	−	0.820205i
$363$	141.033	−	188.878i	0.388520	−	0.520324i
$364$	72.5104	−	548.433i	0.199205	−	1.50668i
$365$	−88.6348	+	23.7496i	−0.242835	+	0.0650675i
$366$	386.290	−	347.645i	1.05544	−	0.949850i
$367$	39.5429	+	68.4903i	0.107746	+	0.186622i	0.914857	−	0.403778i	$-0.132303\pi$
$367$	39.5429	+	68.4903i	0.107746	+	0.186622i	−0.807111	+	0.590400i	$0.798970\pi$
$368$	120.078	+	120.343i	0.326299	+	0.327020i
$369$	418.229	−	440.775i	1.13341	−	1.19451i
$370$	44.3990	−	29.6488i	0.119997	−	0.0801318i
$371$	157.081	−	586.234i	0.423399	−	1.58015i
$372$	2.40999	+	191.739i	0.00647848	+	0.515428i
$373$	216.029	−	57.8849i	0.579167	−	0.155187i	0.0426697	−	0.999089i	$-0.486414\pi$
$373$	216.029	−	57.8849i	0.579167	−	0.155187i	0.536498	+	0.843902i	$0.319747\pi$
$374$	62.5813	−	71.3206i	0.167330	−	0.190697i
$375$	310.514	−	244.805i	0.828037	−	0.652812i
$376$	−25.0227	−	28.5806i	−0.0665496	−	0.0760121i
$377$	267.054			0.708367
$378$	−169.439	+	571.629i	−0.448252	+	1.51225i
$379$	−102.549	−	102.549i	−0.270579	−	0.270579i	0.558754	−	0.829333i	$-0.311279\pi$
$379$	−102.549	−	102.549i	−0.270579	−	0.270579i	−0.829333	+	0.558754i	$0.811279\pi$
$380$	−52.9404	−	403.844i	−0.139317	−	1.06275i
$381$	77.2326	−	652.704i	0.202710	−	1.71313i
$382$	163.556	−	10.6747i	0.428157	−	0.0279443i
$383$	−456.163	−	263.366i	−1.19103	−	0.687639i	−0.232487	−	0.972600i	$-0.574686\pi$
$383$	−456.163	−	263.366i	−1.19103	−	0.687639i	−0.958539	+	0.284960i	$0.908020\pi$
$384$	70.6960	−	377.436i	0.184104	−	0.982907i
$385$	271.098	+	469.556i	0.704151	+	1.21963i
$386$	−184.944	+	123.502i	−0.479131	+	0.319954i
$387$	−292.650	+	539.073i	−0.756203	+	1.39295i
$388$	7.15092	−	17.2369i	0.0184302	−	0.0444251i
$389$	−23.7916	−	6.37495i	−0.0611610	−	0.0163881i	0.228109	−	0.973636i	$-0.426746\pi$
$389$	−23.7916	−	6.37495i	−0.0611610	−	0.0163881i	−0.289270	+	0.957248i	$0.593412\pi$
$390$	13.7372	−	260.896i	0.0352236	−	0.668963i
$391$	−30.9017	−	17.8411i	−0.0790324	−	0.0456294i
$392$	−552.117	−	187.928i	−1.40846	−	0.479409i
$393$	−11.4276	−	78.7983i	−0.0290780	−	0.200505i
$394$	177.073	−	60.0536i	0.449423	−	0.152420i
$395$	−53.8027	+	53.8027i	−0.136209	+	0.136209i
$396$	79.3118	+	502.352i	0.200282	+	1.26857i
$397$	−343.288	+	343.288i	−0.864705	+	0.864705i	−0.991880	−	0.127175i	$-0.959409\pi$
$397$	−343.288	+	343.288i	−0.864705	+	0.864705i	0.127175	+	0.991880i	$0.459409\pi$
$398$	295.012	−	597.810i	0.741237	−	1.50204i
$399$	−901.191	−	359.507i	−2.25862	−	0.901021i
$400$	53.2680	+	199.680i	0.133170	+	0.499200i
$401$	−402.984	−	232.663i	−1.00495	−	0.580207i	−0.0952401	−	0.995454i	$-0.530362\pi$
$401$	−402.984	−	232.663i	−1.00495	−	0.580207i	−0.909709	+	0.415247i	$0.863695\pi$
$402$	−110.755	−	36.0166i	−0.275510	−	0.0895935i
$403$	−193.342	−	51.8060i	−0.479758	−	0.128551i
$404$	−113.111	−	273.500i	−0.279977	−	0.676981i
$405$	−58.5078	+	275.422i	−0.144464	+	0.680053i
$406$	91.9719	−	461.708i	0.226532	−	1.13721i
$407$	−54.2428	−	93.9513i	−0.133275	−	0.230838i
$408$	6.25957	+	80.3545i	0.0153421	+	0.196947i
$409$	183.980	+	106.221i	0.449828	+	0.259709i	0.707758	−	0.706455i	$-0.249707\pi$
$409$	183.980	+	106.221i	0.449828	+	0.259709i	−0.257929	+	0.966164i	$0.583040\pi$
$410$	352.805	+	309.574i	0.860500	+	0.755059i
$411$	−0.762830	+	0.327765i	−0.00185603	+	0.000797482i
$412$	88.6077	+	675.924i	0.215067	+	1.64059i
$413$	787.598	+	787.598i	1.90702	+	1.90702i
$414$	179.447	−	66.1577i	0.433448	−	0.159801i
$415$	−361.576			−0.871268
$416$	359.256	+	177.782i	0.863596	+	0.427361i
$417$	76.2487	+	525.766i	0.182851	+	1.26083i
$418$	−825.877	+	53.9020i	−1.97578	+	0.128952i
$419$	758.247	−	203.172i	1.80966	−	0.484896i	0.814241	−	0.580527i	$-0.197153\pi$
$419$	758.247	−	203.172i	1.80966	−	0.484896i	0.995417	+	0.0956302i	$0.0304866\pi$
$420$	−446.329	−	113.601i	−1.06269	−	0.270479i
$421$	−57.5845	+	214.908i	−0.136780	+	0.510471i	0.863204	+	0.504855i	$0.168454\pi$
$421$	−57.5845	+	214.908i	−0.136780	+	0.510471i	−0.999984	+	0.00561574i	$0.998212\pi$
$422$	108.900	−	546.687i	0.258056	−	1.29547i
$423$	−40.9744	+	12.1399i	−0.0968661	+	0.0286994i
$424$	365.440	+	244.617i	0.861886	+	0.576926i
$425$	−21.6883	−	37.5652i	−0.0510313	−	0.0883888i
$426$	17.3515	−	26.7046i	0.0407311	−	0.0626867i
$427$	923.727	−	247.512i	2.16329	−	0.579653i
$428$	−527.126	−	69.6933i	−1.23160	−	0.162835i
$429$	−527.198	−	62.3818i	−1.22890	−	0.145412i
$430$	−424.904	−	209.685i	−0.988150	−	0.487640i
$431$			761.451i			1.76671i	0.468707	+	0.883354i	$0.344720\pi$
$431$			761.451i			1.76671i	−0.468707	+	0.883354i	$0.655280\pi$
$432$	−352.536	−	249.684i	−0.816057	−	0.577972i
$433$	151.227			0.349254			0.174627	−	0.984635i	$-0.444128\pi$
$433$	151.227			0.349254			0.174627	+	0.984635i	$0.444128\pi$
$434$	−156.153	+	316.427i	−0.359799	+	0.729094i
$435$	26.1255	−	220.790i	0.0600585	−	0.507563i
$436$	360.149	+	47.6167i	0.826030	+	0.109213i
$437$	80.5548	+	300.635i	0.184336	+	0.687951i
$438$	−132.812	−	86.2954i	−0.303223	−	0.197021i
$439$	−268.994	+	155.304i	−0.612743	+	0.353768i	−0.774038	−	0.633139i	$-0.781766\pi$
$439$	−268.994	+	155.304i	−0.612743	+	0.353768i	0.161295	+	0.986906i	$0.448433\pi$
$440$	−385.376	+	76.3245i	−0.875855	+	0.173465i
$441$	−451.620	+	475.965i	−1.02408	+	1.07929i
$442$	−82.5110	−	16.4361i	−0.186676	−	0.0371858i
$443$	−121.665	−	32.6000i	−0.274639	−	0.0735893i	0.118871	−	0.992910i	$-0.462073\pi$
$443$	−121.665	−	32.6000i	−0.274639	−	0.0735893i	−0.393510	+	0.919320i	$0.628739\pi$
$444$	89.3040	+	22.7299i	0.201135	+	0.0511935i
$445$	6.10571	+	22.7868i	0.0137207	+	0.0512063i
$446$	−14.1825	−	217.302i	−0.0317993	−	0.487224i
$447$	−36.4626	+	5.28795i	−0.0815718	+	0.0118299i
$448$	431.092	−	559.888i	0.962258	−	1.24975i
$449$			154.504i			0.344108i	0.985088	+	0.172054i	$0.0550403\pi$
$449$			154.504i			0.344108i	−0.985088	+	0.172054i	$0.944960\pi$
$450$	229.129	+	39.4224i	0.509176	+	0.0876054i
$451$	674.411	−	674.411i	1.49537	−	1.49537i
$452$	23.8705	+	182.090i	0.0528108	+	0.402855i
$453$	275.987	+	642.323i	0.609242	+	1.41793i
$454$	239.317	−	272.737i	0.527130	−	0.600743i
$455$	240.378	−	416.346i	0.528302	−	0.915047i
$456$	457.001	−	534.216i	1.00220	−	1.17153i
$457$	10.7339	−	6.19724i	0.0234878	−	0.0135607i	−0.488210	−	0.872726i	$-0.662350\pi$
$457$	10.7339	−	6.19724i	0.0234878	−	0.0135607i	0.511698	+	0.859165i	$0.329017\pi$
$458$	666.815	+	132.829i	1.45593	+	0.290020i
$459$	85.0711	+	31.3756i	0.185340	+	0.0683565i
$460$	56.4621	+	136.524i	0.122744	+	0.296792i
$461$	−8.95394	+	33.4166i	−0.0194229	+	0.0724871i	−0.974957	−	0.222393i	$-0.928613\pi$
$461$	−8.95394	+	33.4166i	−0.0194229	+	0.0724871i	0.955534	+	0.294880i	$0.0952798\pi$
$462$	−289.415	+	889.984i	−0.626440	+	1.92637i
$463$	322.344	−	558.315i	0.696206	−	1.20586i	−0.273566	−	0.961853i	$-0.588203\pi$
$463$	322.344	−	558.315i	0.696206	−	1.20586i	0.969772	−	0.244011i	$-0.0784635\pi$
$464$	295.225	+	170.883i	0.636262	+	0.368283i
$465$	−61.7455	+	154.780i	−0.132786	+	0.332860i
$466$	283.828	+	140.066i	0.609073	+	0.300570i
$467$	−71.2968	−	71.2968i	−0.152670	−	0.152670i	0.626639	−	0.779309i	$-0.284430\pi$
$467$	−71.2968	−	71.2968i	−0.152670	−	0.152670i	−0.779309	+	0.626639i	$0.784430\pi$
$468$	350.588	−	283.616i	0.749120	−	0.606016i
$469$	−151.542	−	151.542i	−0.323117	−	0.323117i
$470$	−10.6026	−	31.2627i	−0.0225588	−	0.0665164i
$471$	−392.594	+	56.9356i	−0.833534	+	0.120882i
$472$	−724.120	+	356.351i	−1.53415	+	0.754982i
$473$	−481.409	+	833.825i	−1.01778	+	1.76284i
$474$	−131.151	−	6.90564i	−0.276690	−	0.0145689i
$475$	−97.9255	+	365.463i	−0.206159	+	0.769396i
$476$	−56.8326	+	136.992i	−0.119396	+	0.287799i
$477$	421.805	−	258.518i	0.884288	−	0.541966i
$478$	−364.646	−	546.057i	−0.762857	−	1.14238i
$479$	−308.977	+	178.388i	−0.645045	+	0.372417i	−0.786555	−	0.617520i	$-0.788138\pi$
$479$	−308.977	+	178.388i	−0.645045	+	0.372417i	0.141510	+	0.989937i	$0.454804\pi$
$480$	182.129	−	279.627i	0.379435	−	0.582556i
$481$	−48.0960	+	83.3048i	−0.0999918	+	0.173191i
$482$	−12.2622	−	187.879i	−0.0254403	−	0.389791i
$483$	349.501	+	41.3554i	0.723604	+	0.0856220i
$484$	40.8520	+	311.630i	0.0844049	+	0.643864i
$485$	11.4674	−	11.4674i	0.0236442	−	0.0236442i
$486$	−420.919	+	242.948i	−0.866088	+	0.499892i
$487$			305.891i			0.628113i	0.949404	+	0.314056i	$0.101688\pi$
$487$			305.891i			0.628113i	−0.949404	+	0.314056i	$0.898312\pi$
$488$	−45.8913	+	691.398i	−0.0940396	+	1.41680i
$489$	−176.791	−	224.244i	−0.361536	−	0.458578i
$490$	−380.972	−	334.290i	−0.777494	−	0.682224i
$491$	205.011	+	765.113i	0.417539	+	1.55828i	0.779696	+	0.626158i	$0.215374\pi$
$491$	205.011	+	765.113i	0.417539	+	1.55828i	−0.362157	+	0.932117i	$0.617960\pi$
$492$	10.1821	+	810.092i	0.0206954	+	1.64653i
$493$	−69.1571	−	18.5306i	−0.140278	−	0.0375874i
$494$	407.535	+	610.284i	0.824971	+	1.23539i
$495$	−103.150	+	429.764i	−0.208383	+	0.868210i
$496$	−180.588	−	180.987i	−0.364089	−	0.364894i
$497$	50.7516	−	29.3015i	0.102116	−	0.0589567i
$498$	−417.490	−	463.899i	−0.838333	−	0.931523i
$499$	3.86910	+	14.4397i	0.00775371	+	0.0289372i	0.969694	−	0.244321i	$-0.0785652\pi$
$499$	3.86910	+	14.4397i	0.00775371	+	0.0289372i	−0.961941	+	0.273259i	$0.911899\pi$
$500$	−69.1033	+	522.663i	−0.138207	+	1.04533i
$501$	−361.488	−	269.919i	−0.721533	−	0.538760i
$502$	149.134	−	50.5782i	0.297079	−	0.100753i
$503$	−160.331			−0.318750			−0.159375	−	0.987218i	$-0.550948\pi$
$503$	−160.331			−0.318750			−0.159375	+	0.987218i	$0.550948\pi$
$504$	−369.600	−	703.805i	−0.733334	−	1.39644i
$505$		−	257.206i		−	0.509318i
$506$	284.302	−	96.4199i	0.561861	−	0.190553i
$507$	−14.3235	−	33.3360i	−0.0282515	−	0.0657516i
$508$	533.101	+	695.544i	1.04941	+	1.36918i
$509$	−921.997	+	247.048i	−1.81139	+	0.485360i	−0.995659	−	0.0930723i	$-0.970331\pi$
$509$	−921.997	+	247.048i	−1.81139	+	0.485360i	−0.815730	+	0.578433i	$0.803665\pi$
$510$	−21.6607	+	66.6090i	−0.0424719	+	0.130606i
$511$	−145.727	−	252.407i	−0.285180	−	0.493947i
$512$	283.394	+	426.417i	0.553504	+	0.832846i
$513$	−331.182	−	718.218i	−0.645579	−	1.40004i
$514$	428.971	+	642.383i	0.834573	+	1.24977i
$515$	−153.332	+	572.241i	−0.297731	+	1.11115i
$516$	−221.587	−	787.259i	−0.429432	−	1.52570i
$517$	−64.7942	+	17.3616i	−0.125327	+	0.0335814i
$518$	127.461	+	111.843i	0.246064	+	0.215912i
$519$	472.223	+	188.381i	0.909870	+	0.362970i
$520$	229.461	+	262.088i	0.441272	+	0.504015i
$521$	−259.401			−0.497890			−0.248945	−	0.968518i	$-0.580084\pi$
$521$	−259.401			−0.497890			−0.248945	+	0.968518i	$0.580084\pi$
$522$	313.437	−	221.414i	0.600454	−	0.424165i
$523$	−651.854	−	651.854i	−1.24637	−	1.24637i	−0.957310	−	0.289064i	$-0.906656\pi$
$523$	−651.854	−	651.854i	−1.24637	−	1.24637i	−0.289064	−	0.957310i	$-0.593344\pi$
$524$	84.1895	+	64.6747i	0.160667	+	0.123425i
$525$	342.808	+	255.971i	0.652968	+	0.487564i
$526$	−28.4482	−	435.877i	−0.0540839	−	0.828664i
$527$	46.4737	+	26.8316i	0.0881854	+	0.0509139i
$528$	−542.894	−	406.306i	−1.02821	−	0.769520i
$529$	208.052	+	360.357i	0.393293	+	0.681204i
$530$	212.230	+	317.814i	0.400434	+	0.599650i
$531$	23.8219	+	907.623i	0.0448623	+	1.70927i
$532$	1195.47	−	494.407i	2.24712	−	0.929336i
$533$	−816.865	−	218.878i	−1.53258	−	0.410654i
$534$	−22.1854	+	34.1441i	−0.0415456	+	0.0639403i
$535$	−400.171	−	231.039i	−0.747982	−	0.431848i
$536$	139.328	−	68.5657i	0.259940	−	0.127921i
$537$	−655.547	+	516.824i	−1.22076	+	0.962428i
$538$	−163.794	−	482.960i	−0.304451	−	0.897696i
$539$	−728.254	+	728.254i	−1.35112	+	1.35112i
$540$	−200.185	−	317.598i	−0.370713	−	0.588145i
$541$	116.855	−	116.855i	0.215998	−	0.215998i	−0.590812	−	0.806810i	$-0.701192\pi$
$541$	116.855	−	116.855i	0.215998	−	0.215998i	0.806810	+	0.590812i	$0.201192\pi$
$542$	25.6598	+	12.6628i	0.0473428	+	0.0233631i
$543$	369.316	−	291.163i	0.680140	−	0.536213i
$544$	−80.6978	−	70.9672i	−0.148342	−	0.130454i
$545$	273.409	+	157.853i	0.501668	+	0.289638i
$546$	811.718	−	172.328i	1.48666	−	0.315618i
$547$	−663.712	−	177.841i	−1.21337	−	0.325121i	−0.405286	−	0.914190i	$-0.632828\pi$
$547$	−663.712	−	177.841i	−1.21337	−	0.325121i	−0.808083	+	0.589069i	$0.799495\pi$
$548$	0.424202	−	1.02252i	0.000774092	−	0.00186591i
$549$	685.090	+	371.920i	1.24789	+	0.677450i
$550$	357.911	+	71.2956i	0.650748	+	0.129628i
$551$	312.253	+	540.838i	0.566702	+	0.981557i
$552$	−109.966	+	230.077i	−0.199214	+	0.416806i
$553$	−209.295	−	120.837i	−0.378472	−	0.218511i
$554$	89.8870	−	102.439i	0.162251	−	0.184909i
$555$	64.1680	+	47.9135i	0.115618	+	0.0863306i
$556$	−561.738	−	431.529i	−1.01032	−	0.776132i
$557$	−639.199	−	639.199i	−1.14757	−	1.14757i	−0.987028	−	0.160546i	$-0.948674\pi$
$557$	−639.199	−	639.199i	−1.14757	−	1.14757i	−0.160546	−	0.987028i	$-0.551326\pi$
$558$	−269.875	+	99.4961i	−0.483647	+	0.178308i
$559$	853.712			1.52721
$560$	532.147	−	306.453i	0.950262	−	0.547237i
$561$	132.196	+	52.7362i	0.235643	+	0.0940038i
$562$	37.2079	+	570.093i	0.0662062	+	1.01440i
$563$	−212.919	+	57.0515i	−0.378187	+	0.101335i	−0.442904	−	0.896569i	$-0.646052\pi$
$563$	−212.919	+	57.0515i	−0.378187	+	0.101335i	0.0647179	+	0.997904i	$0.479385\pi$
$564$	27.8675	−	49.7002i	0.0494105	−	0.0881209i
$565$	−41.3067	+	154.159i	−0.0731093	+	0.272847i
$566$	559.202	+	111.393i	0.987990	+	0.196807i
$567$	−893.087	+	46.9131i	−1.57511	+	0.0827391i
$568$	8.24948	+	41.6531i	0.0145237	+	0.0733329i
$569$	−398.057	−	689.456i	−0.699574	−	1.21170i	−0.968614	−	0.248568i	$-0.920040\pi$
$569$	−398.057	−	689.456i	−0.699574	−	1.21170i	0.269041	−	0.963129i	$-0.413293\pi$
$570$	544.428	−	277.231i	0.955136	−	0.486371i
$571$	241.207	−	64.6311i	0.422429	−	0.113189i	−0.0413414	−	0.999145i	$-0.513163\pi$
$571$	241.207	−	64.6311i	0.422429	−	0.113189i	0.463770	+	0.885956i	$0.346496\pi$
$572$	561.800	−	430.592i	0.982168	−	0.752783i
$573$	97.0569	+	225.887i	0.169384	+	0.394219i
$574$	−659.741	+	1336.89i	−1.14937	+	2.32908i
$575$		−	137.240i		−	0.238679i
$576$	569.051	−	89.1988i	0.987937	−	0.154859i
$577$	−116.279			−0.201523			−0.100762	−	0.994911i	$-0.532128\pi$
$577$	−116.279			−0.201523			−0.100762	+	0.994911i	$0.532128\pi$
$578$	−498.095	−	245.804i	−0.861756	−	0.425267i
$579$	−267.292	−	199.584i	−0.461644	−	0.344704i
$580$	180.332	+	235.282i	0.310917	+	0.405658i
$581$	−297.239	−	1109.31i	−0.511599	−	1.90931i
$582$	27.9534	+	1.47186i	0.0480298	+	0.00252897i
$583$	672.516	−	388.277i	1.15354	−	0.665999i
$584$	207.157	−	41.0278i	0.354720	−	0.0702531i
$585$	375.741	−	111.324i	0.642292	−	0.190298i
$586$	111.802	−	561.256i	0.190788	−	0.957775i
$587$	43.3540	+	11.6167i	0.0738568	+	0.0197899i	0.295558	−	0.955325i	$-0.404494\pi$
$587$	43.3540	+	11.6167i	0.0738568	+	0.0197899i	−0.221701	+	0.975115i	$0.571161\pi$
$588$	−10.9951	−	874.768i	−0.0186991	−	1.48770i
$589$	−121.148	−	452.131i	−0.205685	−	0.767625i
$590$	−699.869	+	45.6779i	−1.18622	+	0.0774202i
$591$	173.643	+	220.252i	0.293812	+	0.372676i
$592$	−106.475	+	61.3167i	−0.179856	+	0.103576i
$593$		−	440.854i		−	0.743430i	−0.928347	−	0.371715i	$-0.878770\pi$
$593$		−	440.854i		−	0.743430i	0.928347	−	0.371715i	$-0.121230\pi$
$594$	−670.483	+	363.882i	−1.12876	+	0.612596i
$595$	−91.1385	+	91.1385i	−0.153174	+	0.153174i
$596$	29.9272	−	38.9573i	0.0502133	−	0.0653646i
$597$	993.033	+	117.503i	1.66337	+	0.196822i
$598$	−200.082	−	175.565i	−0.334585	−	0.293587i
$599$	346.628	−	600.377i	0.578678	−	1.00230i	−0.416954	−	0.908928i	$-0.636902\pi$
$599$	346.628	−	600.377i	0.578678	−	1.00230i	0.995631	−	0.0933715i	$-0.0297644\pi$
$600$	−255.615	+	175.379i	−0.426024	+	0.292299i
$601$	711.840	−	410.981i	1.18443	−	0.683829i	0.227392	−	0.973803i	$-0.426980\pi$
$601$	711.840	−	410.981i	1.18443	−	0.683829i	0.957034	+	0.289974i	$0.0936468\pi$
$602$	294.013	−	1475.98i	0.488394	−	2.45179i
$603$	−4.58357	−	174.636i	−0.00760128	−	0.289612i
$604$	−860.988	−	357.190i	−1.42548	−	0.591373i
$605$	−70.6924	+	263.828i	−0.116847	+	0.436079i
$606$	329.992	−	296.980i	0.544542	−	0.490066i
$607$	527.166	−	913.078i	0.868477	−	1.50425i	0.00492519	−	0.999988i	$-0.498432\pi$
$607$	527.166	−	913.078i	0.868477	−	1.50425i	0.863552	−	0.504259i	$-0.168234\pi$
$608$	60.0160	+	935.437i	0.0987105	+	1.53855i
$609$	698.858	−	101.351i	1.14755	−	0.166422i
$610$	−266.482	+	539.997i	−0.436856	+	0.885241i
$611$	42.0576	+	42.0576i	0.0688341	+	0.0688341i
$612$	−110.469	+	49.1189i	−0.180505	+	0.0802597i
$613$	−78.3862	−	78.3862i	−0.127873	−	0.127873i	0.640274	−	0.768147i	$-0.278821\pi$
$613$	−78.3862	−	78.3862i	−0.127873	−	0.127873i	−0.768147	+	0.640274i	$0.778821\pi$
$614$	−264.700	+	89.7720i	−0.431107	+	0.146209i
$615$	−260.873	+	653.940i	−0.424183	+	1.06332i
$616$	−550.967	−	1119.59i	−0.894427	−	1.81751i
$617$	379.227	−	656.840i	0.614630	−	1.06457i	−0.375819	−	0.926693i	$-0.622639\pi$
$617$	379.227	−	656.840i	0.614630	−	1.06457i	0.990449	−	0.137878i	$-0.0440281\pi$
$618$	−911.223	+	464.009i	−1.47447	+	0.750824i
$619$	93.7456	−	349.863i	0.151447	−	0.565207i	−0.847937	−	0.530098i	$-0.822155\pi$
$619$	93.7456	−	349.863i	0.151447	−	0.565207i	0.999383	−	0.0351097i	$-0.0111781\pi$
$620$	−84.9146	−	205.322i	−0.136959	−	0.331165i
$621$	183.463	+	220.550i	0.295432	+	0.355153i
$622$	−9.58751	+	6.40234i	−0.0154140	+	0.0102932i
$623$	−64.8904	+	37.4645i	−0.104158	+	0.0601356i
$624$	−71.3111	+	597.014i	−0.114281	+	0.956753i
$625$	−67.6271	+	117.134i	−0.108203	+	0.187414i
$626$	59.3807	−	3.87556i	0.0948573	−	0.00619099i
$627$	−490.090	−	1140.62i	−0.781643	−	1.81917i
$628$	322.227	−	419.455i	0.513100	−	0.667922i
$629$	18.2355	−	18.2355i	0.0289912	−	0.0289912i
$630$	−63.0648	−	687.955i	−0.100103	−	1.09199i
$631$			887.948i			1.40721i	0.710592	+	0.703604i	$0.248427\pi$
$631$			887.948i			1.40721i	−0.710592	+	0.703604i	$0.751573\pi$
$632$	131.750	−	115.349i	0.208466	−	0.182515i
$633$	827.485	−	120.005i	1.30724	−	0.189582i
$634$	−528.666	+	602.493i	−0.833859	+	0.950304i
$635$	197.110	+	735.624i	0.310409	+	1.15846i
$636$	−162.704	+	639.250i	−0.255824	+	1.00511i
$637$	882.082	+	236.353i	1.38474	+	0.371041i
$638$	500.944	−	334.520i	0.785178	−	0.524326i
$639$	46.4507	+	11.1489i	0.0726928	+	0.0174473i
$640$	85.9617	+	436.563i	0.134315	+	0.682130i
$641$	−911.347	+	526.167i	−1.42176	+	0.820853i	−0.996449	−	0.0841954i	$-0.973168\pi$
$641$	−911.347	+	526.167i	−1.42176	+	0.820853i	−0.425309	+	0.905048i	$0.639835\pi$
$642$	−165.632	−	780.181i	−0.257994	−	1.21524i
$643$	118.590	+	442.584i	0.184433	+	0.688312i	0.994751	+	0.102322i	$0.0326273\pi$
$643$	118.590	+	442.584i	0.184433	+	0.688312i	−0.810319	+	0.585989i	$0.800706\pi$
$644$	−372.440	+	285.457i	−0.578323	+	0.443256i
$645$	83.5172	−	705.816i	0.129484	−	1.09429i
$646$	−63.1895	−	186.319i	−0.0978166	−	0.288420i
$647$	−371.875			−0.574768			−0.287384	−	0.957816i	$-0.592786\pi$
$647$	−371.875			−0.574768			−0.287384	+	0.957816i	$0.592786\pi$
$648$	176.334	−	623.547i	0.272121	−	0.962263i
$649$			1425.16i			2.19594i
$650$	−103.929	−	306.444i	−0.159891	−	0.471452i
$651$	−525.622	−	62.1953i	−0.807407	−	0.0955382i
$652$	377.453	+	49.9045i	0.578916	+	0.0765407i
$653$	114.239	−	30.6102i	0.174945	−	0.0468763i	−0.170283	−	0.985395i	$-0.554468\pi$
$653$	114.239	−	30.6102i	0.174945	−	0.0468763i	0.345228	+	0.938519i	$0.387802\pi$
$654$	113.165	+	533.045i	0.173036	+	0.815053i
$655$	46.1299	+	79.8993i	0.0704273	+	0.121984i
$656$	−762.979	−	764.665i	−1.16308	−	1.16565i
$657$	55.4475	−	231.017i	0.0843949	−	0.351624i
$658$	87.1975	−	58.2287i	0.132519	−	0.0884935i
$659$	−231.588	+	864.298i	−0.351423	+	1.31153i	0.533503	+	0.845798i	$0.320875\pi$
$659$	−231.588	+	864.298i	−0.351423	+	1.31153i	−0.884926	+	0.465731i	$0.845791\pi$
$660$	−301.037	−	506.599i	−0.456116	−	0.767574i
$661$	−618.804	+	165.808i	−0.936163	+	0.250844i	−0.694481	−	0.719511i	$-0.744366\pi$
$661$	−618.804	+	165.808i	−0.936163	+	0.250844i	−0.241682	+	0.970355i	$0.577699\pi$
$662$	−538.364	+	613.545i	−0.813238	+	0.926805i
$663$	−18.1123	−	124.892i	−0.0273187	−	0.188374i
$664$	830.305	+	55.1113i	1.25046	+	0.0829989i
$665$	1124.25			1.69059
$666$	12.6183	+	137.650i	0.0189464	+	0.206681i
$667$	−160.178	−	160.178i	−0.240148	−	0.240148i
$668$	596.421	−	78.1855i	0.892845	−	0.117044i
$669$	300.116	−	128.951i	0.448604	−	0.192751i
$670$	134.662	−	8.78890i	0.200988	−	0.0131178i
$671$	1059.68	+	611.807i	1.57926	+	0.911784i
$672$	1007.61	+	328.897i	1.49943	+	0.489430i
$673$	−502.262	−	869.942i	−0.746302	−	1.29263i	−0.949584	−	0.313513i	$-0.898494\pi$
$673$	−502.262	−	869.942i	−0.746302	−	1.29263i	0.203281	−	0.979120i	$-0.434839\pi$
$674$	−9.21209	+	6.15165i	−0.0136678	+	0.00912707i
$675$	59.0908	+	343.701i	0.0875420	+	0.509187i
$676$	44.6846	+	18.5379i	0.0661014	+	0.0274229i
$677$	290.062	+	77.7219i	0.428452	+	0.114803i	0.466599	−	0.884469i	$-0.345479\pi$
$677$	290.062	+	77.7219i	0.428452	+	0.114803i	−0.0381474	+	0.999272i	$0.512146\pi$
$678$	−245.479	+	125.002i	−0.362063	+	0.184368i
$679$	44.6089	+	25.7550i	0.0656980	+	0.0379308i
$680$	−41.2359	−	83.7930i	−0.0606411	−	0.123225i
$681$	505.530	+	201.668i	0.742335	+	0.296136i
$682$	−427.568	+	145.008i	−0.626932	+	0.212622i
$683$	473.147	−	473.147i	0.692748	−	0.692748i	−0.270088	−	0.962836i	$-0.587053\pi$
$683$	473.147	−	473.147i	0.692748	−	0.692748i	0.962836	+	0.270088i	$0.0870528\pi$
$684$	984.303	+	378.393i	1.43904	+	0.553207i
$685$	0.680264	−	0.680264i	0.000993087	−	0.000993087i
$686$	233.582	−	473.328i	0.340499	−	0.689983i
$687$	146.375	+	1009.32i	0.213064	+	1.46916i
$688$	943.769	+	546.275i	1.37176	+	0.794004i
$689$	−596.307	−	344.278i	−0.865467	−	0.499678i
$690$	−164.724	+	148.245i	−0.238730	+	0.214848i
$691$	−431.890	−	115.725i	−0.625021	−	0.167474i	−0.0676119	−	0.997712i	$-0.521538\pi$
$691$	−431.890	−	115.725i	−0.625021	−	0.167474i	−0.557409	+	0.830238i	$0.688205\pi$
$692$	−626.424	+	259.068i	−0.905237	+	0.374376i
$693$	−1403.31	+	36.8318i	−2.02497	+	0.0531484i
$694$	−38.0907	+	191.219i	−0.0548857	+	0.275532i
$695$	−307.793	−	533.113i	−0.442867	−	0.767069i
$696$	−93.6459	+	503.029i	−0.134549	+	0.722743i
$697$	196.350	+	113.363i	0.281707	+	0.162644i
$698$	791.814	+	694.789i	1.13440	+	0.995400i
$699$	−55.7879	+	471.471i	−0.0798110	+	0.674494i
$700$	−565.601	+	74.1454i	−0.808002	+	0.105922i
$701$	232.018	+	232.018i	0.330981	+	0.330981i	0.852959	−	0.521978i	$-0.174806\pi$
$701$	232.018	+	232.018i	0.330981	+	0.330981i	−0.521978	+	0.852959i	$0.674806\pi$
$702$	576.673	+	353.533i	0.821471	+	0.503608i
$703$	−224.945			−0.319979
$704$	896.592	−	116.529i	1.27357	−	0.165524i
$705$	38.8860	−	30.6572i	0.0551575	−	0.0434854i
$706$	−370.874	+	24.2056i	−0.525317	+	0.0342855i
$707$	789.104	−	211.440i	1.11613	−	0.299066i
$708$	−866.700	−	845.184i	−1.22415	−	1.19376i
$709$	328.250	−	1225.04i	0.462976	−	1.72785i	−0.200540	−	0.979686i	$-0.564270\pi$
$709$	328.250	−	1225.04i	0.462976	−	1.72785i	0.663515	−	0.748163i	$-0.269064\pi$
$710$	−7.20903	+	36.1901i	−0.0101536	+	0.0509719i
$711$	−55.9622	−	188.883i	−0.0787091	−	0.265658i
$712$	−10.5477	−	53.2571i	−0.0148142	−	0.0747993i
$713$	84.8932	+	147.039i	0.119065	+	0.206226i
$714$	−222.162	−	11.6977i	−0.311151	−	0.0163834i
$715$	594.172	−	159.208i	0.831010	−	0.222669i
$716$	145.889	−	1103.43i	0.203755	−	1.54110i
$717$	589.280	−	789.192i	0.821869	−	1.10069i
$718$	−186.273	−	91.9236i	−0.259433	−	0.128027i
$719$			780.133i			1.08503i	0.840048	+	0.542513i	$0.182527\pi$
$719$			780.133i			1.08503i	−0.840048	+	0.542513i	$0.817473\pi$
$720$	486.611	+	117.362i	0.675849	+	0.163003i
$721$	−1881.68			−2.60982
$722$	−439.926	+	891.461i	−0.609315	+	1.23471i
$723$	259.480	−	111.491i	0.358894	−	0.154206i
$724$	−82.1895	+	621.641i	−0.113521	+	0.858620i
$725$	−71.2721	−	265.991i	−0.0983063	−	0.366884i
$726$	−420.113	+	213.928i	−0.578668	+	0.294667i
$727$	942.045	−	543.890i	1.29580	−	0.748129i	0.316123	−	0.948718i	$-0.397619\pi$
$727$	942.045	−	543.890i	1.29580	−	0.748129i	0.979675	+	0.200589i	$0.0642856\pi$
$728$	−615.450	+	919.438i	−0.845399	+	1.26296i
$729$	−554.422	−	473.347i	−0.760524	−	0.649310i
$730$	179.987	+	35.8532i	0.246557	+	0.0491140i
$731$	−221.079	−	59.2381i	−0.302434	−	0.0810370i
$732$	−1000.50	+	281.608i	−1.36681	+	0.384710i
$733$	−19.9096	−	74.3036i	−0.0271618	−	0.101369i	0.951014	−	0.309147i	$-0.100044\pi$
$733$	−19.9096	−	74.3036i	−0.0271618	−	0.101369i	−0.978176	+	0.207778i	$0.933377\pi$
$734$	−10.3014	−	157.836i	−0.0140346	−	0.215035i
$735$	281.700	−	706.149i	0.383265	−	0.960747i
$736$	−108.848	−	322.114i	−0.147891	−	0.437655i
$737$		−	274.216i		−	0.372070i
$738$	−1140.21	+	420.368i	−1.54500	+	0.569604i
$739$	−409.210	+	409.210i	−0.553734	+	0.553734i	−0.927516	−	0.373782i	$-0.878061\pi$
$739$	−409.210	+	409.210i	−0.553734	+	0.553734i	0.373782	+	0.927516i	$0.378061\pi$
$740$	−105.871	+	13.8788i	−0.143069	+	0.0187551i
$741$	−658.592	+	882.017i	−0.888788	+	1.19031i
$742$	−800.584	+	912.383i	−1.07895	+	1.22963i
$743$	−314.527	+	544.778i	−0.423321	+	0.733213i	−0.996262	−	0.0863832i	$-0.972469\pi$
$743$	−314.527	+	544.778i	−0.423321	+	0.733213i	0.572941	+	0.819597i	$0.305802\pi$
$744$	165.381	−	346.018i	0.222286	−	0.465078i
$745$	36.9721	−	21.3459i	0.0496270	−	0.0286522i
$746$	−438.681	−	87.3850i	−0.588045	−	0.117138i
$747$	446.642	−	822.731i	0.597914	−	1.10138i
$748$	−175.363	+	72.5246i	−0.234443	+	0.0969580i
$749$	379.857	−	1417.65i	0.507153	−	1.89272i
$750$	−773.576	+	164.230i	−1.03144	+	0.218974i
$751$	−342.403	+	593.059i	−0.455929	+	0.789693i	−0.998741	−	0.0501615i	$-0.984026\pi$
$751$	−342.403	+	593.059i	−0.455929	+	0.789693i	0.542812	+	0.839854i	$0.317360\pi$
$752$	19.5823	+	73.4061i	0.0260403	+	0.0976145i
$753$	146.245	+	185.500i	0.194217	+	0.246348i
$754$	−478.962	−	236.362i	−0.635228	−	0.313478i
$755$	−572.800	−	572.800i	−0.758676	−	0.758676i
$756$	809.823	−	875.251i	1.07119	−	1.15774i
$757$	284.601	+	284.601i	0.375959	+	0.375959i	0.869642	−	0.493683i	$-0.164350\pi$
$757$	284.601	+	284.601i	0.375959	+	0.375959i	−0.493683	+	0.869642i	$0.664350\pi$
$758$	93.1589	+	274.686i	0.122901	+	0.362383i
$759$	278.795	+	353.628i	0.367319	+	0.465913i
$760$	−262.483	+	771.151i	−0.345372	+	1.01467i
$761$	38.3592	−	66.4400i	0.0504063	−	0.0873062i	−0.839721	−	0.543018i	$-0.817282\pi$
$761$	38.3592	−	66.4400i	0.0504063	−	0.0873062i	0.890128	+	0.455711i	$0.150615\pi$
$762$	−716.207	+	1102.27i	−0.939905	+	1.44655i
$763$	−259.531	+	968.582i	−0.340145	+	1.26944i
$764$	−302.786	−	125.614i	−0.396316	−	0.164416i
$765$	−105.027	+	2.75660i	−0.137291	+	0.00360340i
$766$	585.031	+	876.084i	0.763748	+	1.14371i
$767$	1094.37	−	631.832i	1.42681	−	0.823771i
$768$	−460.852	+	614.361i	−0.600067	+	0.799949i
$769$	238.105	−	412.411i	0.309630	−	0.536295i	−0.668651	−	0.743576i	$-0.733128\pi$
$769$	238.105	−	412.411i	0.309630	−	0.536295i	0.978281	+	0.207281i	$0.0664615\pi$
$770$	−70.6242	−	1082.09i	−0.0917197	−	1.40531i
$771$	−693.232	+	928.408i	−0.899133	+	1.20416i
$772$	441.006	−	57.8121i	0.571252	−	0.0748861i
$773$	−285.189	+	285.189i	−0.368938	+	0.368938i	−0.867090	−	0.498152i	$-0.834012\pi$
$773$	−285.189	+	285.189i	−0.368938	+	0.368938i	0.498152	+	0.867090i	$0.334012\pi$
$774$	1001.99	−	707.811i	1.29456	−	0.914485i
$775$			206.399i			0.266321i
$776$	−28.0811	+	24.5854i	−0.0361870	+	0.0316822i
$777$	−94.2478	+	236.255i	−0.121297	+	0.304060i
$778$	37.0281	+	32.4908i	0.0475939	+	0.0417620i
$779$	−511.847	−	1910.24i	−0.657056	−	2.45217i
$780$	−255.549	+	455.758i	−0.327627	+	0.584305i
$781$	72.4282	+	19.4071i	0.0927378	+	0.0248490i
$782$	39.6315	+	59.3482i	0.0506797	+	0.0758928i
$783$	470.114	+	332.180i	0.600401	+	0.424240i
$784$	823.893	+	825.714i	1.05088	+	1.05321i
$785$	398.080	−	229.832i	0.507108	−	0.292779i
$786$	−49.2467	+	151.439i	−0.0626548	+	0.192671i
$787$	−252.050	−	940.664i	−0.320267	−	1.19525i	−0.918985	−	0.394293i	$-0.870990\pi$
$787$	−252.050	−	940.664i	−0.320267	−	1.19525i	0.598718	−	0.800960i	$-0.295677\pi$
$788$	−370.732	−	49.0159i	−0.470472	−	0.0622030i
$789$	601.991	−	258.657i	0.762980	−	0.327829i
$790$	144.114	−	48.8759i	0.182423	−	0.0618682i
$791$	−506.914			−0.640852
$792$	302.372	−	971.166i	0.381783	−	1.22622i
$793$		−	1084.96i		−	1.36817i
$794$	919.522	−	311.853i	1.15809	−	0.392762i
$795$	−342.971	+	459.323i	−0.431410	+	0.577765i
$796$	−1058.21	+	811.066i	−1.32941	+	1.01893i
$797$	−365.950	+	98.0559i	−0.459159	+	0.123031i	−0.480982	−	0.876731i	$-0.659720\pi$
$797$	−365.950	+	98.0559i	−0.459159	+	0.123031i	0.0218229	+	0.999762i	$0.493053\pi$
$798$	1298.10	+	1442.40i	1.62669	+	1.80751i
$799$	−7.97302	−	13.8097i	−0.00997875	−	0.0172837i
$800$	81.1951	−	405.273i	0.101494	−	0.506591i
$801$	−59.3913	−	14.2548i	−0.0741464	−	0.0177962i
$802$	516.829	+	773.952i	0.644426	+	0.965028i
$803$	96.5187	−	360.213i	0.120198	−	0.448584i
$804$	166.762	+	162.622i	0.207415	+	0.202266i
$805$	−393.901	+	105.545i	−0.489318	+	0.131112i
$806$	300.908	+	264.036i	0.373335	+	0.327588i
$807$	600.729	−	473.606i	0.744398	−	0.586873i
$808$	−39.2032	+	590.634i	−0.0485188	+	0.730983i
$809$	−1119.67			−1.38402			−0.692008	−	0.721890i	$-0.743274\pi$
$809$	−1119.67			−1.38402			−0.692008	+	0.721890i	$0.743274\pi$
$810$	348.702	−	442.185i	0.430496	−	0.545908i
$811$	551.892	+	551.892i	0.680508	+	0.680508i	0.960115	−	0.279606i	$-0.0902039\pi$
$811$	551.892	+	551.892i	0.680508	+	0.680508i	−0.279606	+	0.960115i	$0.590204\pi$
$812$	−573.597	+	746.673i	−0.706400	+	0.919548i
$813$	−5.04357	+	42.6239i	−0.00620365	+	0.0524280i
$814$	14.1309	+	216.511i	0.0173598	+	0.265983i
$815$	286.546	+	165.437i	0.351590	+	0.202990i
$816$	59.8930	−	149.656i	0.0733982	−	0.183402i
$817$	998.202	+	1728.94i	1.22179	+	2.11620i
$818$	−235.955	−	353.343i	−0.288453	−	0.431959i
$819$	650.425	+	1061.25i	0.794169	+	1.29579i
$820$	−358.761	−	867.479i	−0.437514	−	1.05790i
$821$	911.146	+	244.141i	1.10980	+	0.297370i	0.766749	−	0.641947i	$-0.221873\pi$
$821$	911.146	+	244.141i	1.10980	+	0.297370i	0.343051	+	0.939317i	$0.388540\pi$
$822$	1.65823	+	0.0873127i	0.00201731	+	0.000106220i
$823$	−435.708	−	251.556i	−0.529415	−	0.305658i	0.211363	−	0.977408i	$-0.432210\pi$
$823$	−435.708	−	251.556i	−0.529415	−	0.305658i	−0.740778	+	0.671750i	$0.765543\pi$
$824$	439.324	−	1290.70i	0.533160	−	1.56638i
$825$	78.5664	+	541.747i	0.0952319	+	0.656663i
$826$	−715.477	−	2109.64i	−0.866195	−	2.55404i
$827$	466.882	−	466.882i	0.564549	−	0.564549i	−0.366047	−	0.930596i	$-0.619289\pi$
$827$	466.882	−	466.882i	0.564549	−	0.564549i	0.930596	+	0.366047i	$0.119289\pi$
$828$	−380.393	−	40.1699i	−0.459412	−	0.0485144i
$829$	417.292	−	417.292i	0.503368	−	0.503368i	−0.409115	−	0.912483i	$-0.634163\pi$
$829$	417.292	−	417.292i	0.503368	−	0.503368i	0.912483	+	0.409115i	$0.134163\pi$
$830$	648.487	+	320.021i	0.781310	+	0.385567i
$831$	189.876	+	75.7462i	0.228491	+	0.0911507i
$832$	−486.976	−	636.820i	−0.585308	−	0.765409i
$833$	−212.026	−	122.413i	−0.254533	−	0.146955i
$834$	328.589	−	1010.45i	0.393991	−	1.21157i
$835$	504.933	+	135.296i	0.604710	+	0.162032i
$836$	1528.92	+	634.288i	1.82885	+	0.758717i
$837$	−275.914	−	331.690i	−0.329647	−	0.396284i
$838$	−1539.74	−	306.715i	−1.83740	−	0.366008i
$839$	290.445	+	503.065i	0.346179	+	0.599600i	0.985567	−	0.169284i	$-0.0541455\pi$
$839$	290.445	+	503.065i	0.346179	+	0.599600i	−0.639388	+	0.768884i	$0.720812\pi$
$840$	699.947	+	598.777i	0.833271	+	0.712830i
$841$	334.695	+	193.236i	0.397972	+	0.229769i
$842$	293.487	−	334.472i	0.348560	−	0.397235i
$843$	−787.355	+	338.303i	−0.933992	+	0.401308i
$844$	−679.169	+	884.100i	−0.804703	+	1.04751i
$845$	29.7279	+	29.7279i	0.0351809	+	0.0351809i
$846$	84.2322	+	14.4924i	0.0995653	+	0.0171305i
$847$	−867.535			−1.02424
$848$	−438.913	−	762.161i	−0.517586	−	0.898775i
$849$	122.752	+	846.428i	0.144585	+	0.996971i
$850$	5.65005	+	86.5690i	0.00664712	+	0.101846i
$851$	78.8138	−	21.1181i	0.0926132	−	0.0248156i
$852$	−54.7553	+	32.5374i	−0.0642668	+	0.0381894i
$853$	86.8111	−	323.983i	0.101771	−	0.379816i	−0.896187	−	0.443676i	$-0.853674\pi$
$853$	86.8111	−	323.983i	0.101771	−	0.379816i	0.997959	+	0.0638594i	$0.0203409\pi$
$854$	−1875.77	−	373.652i	−2.19645	−	0.437532i
$855$	664.788	+	630.784i	0.777530	+	0.737759i
$856$	883.717	+	591.539i	1.03238	+	0.691050i
$857$	540.816	+	936.721i	0.631057	+	1.09302i	0.987336	+	0.158643i	$0.0507119\pi$
$857$	540.816	+	936.721i	0.631057	+	1.09302i	−0.356279	+	0.934380i	$0.615955\pi$
$858$	890.317	+	578.490i	1.03767	+	0.674230i
$859$	−343.042	+	91.9178i	−0.399351	+	0.107006i	−0.452904	−	0.891559i	$-0.649612\pi$
$859$	−343.042	+	91.9178i	−0.399351	+	0.107006i	0.0535534	+	0.998565i	$0.482945\pi$
$860$	576.480	+	752.142i	0.670325	+	0.874584i
$861$	−2220.73	−	262.773i	−2.57925	−	0.305195i
$862$	673.939	−	1365.66i	0.781832	−	1.58430i
$863$		−	531.043i		−	0.615346i	−0.951492	−	0.307673i	$-0.900450\pi$
$863$		−	531.043i		−	0.615346i	0.951492	−	0.307673i	$-0.0995503\pi$
$864$	411.286	+	759.829i	0.476026	+	0.879431i
$865$	−589.103			−0.681044
$866$	−271.225	−	133.847i	−0.313193	−	0.154557i
$867$	97.9032	−	827.394i	0.112922	−	0.954319i
$868$	560.121	−	429.305i	0.645301	−	0.494591i
$869$	−80.0331	−	298.688i	−0.0920980	−	0.343714i
$870$	−242.271	+	372.864i	−0.278473	+	0.428580i
$871$	−210.567	+	121.571i	−0.241753	+	0.139576i
$872$	−603.783	−	404.158i	−0.692412	−	0.463484i
$873$	11.9277	+	40.2583i	0.0136629	+	0.0461149i
$874$	121.608	−	610.485i	0.139140	−	0.698496i
$875$	−1405.65	−	376.642i	−1.60645	−	0.430448i
$876$	161.821	+	272.319i	0.184727	+	0.310866i
$877$	330.945	+	1235.10i	0.377361	+	1.40833i	0.849865	+	0.527001i	$0.176683\pi$
$877$	330.945	+	1235.10i	0.377361	+	1.40833i	−0.472504	+	0.881328i	$0.656650\pi$
$878$	619.897	−	40.4584i	0.706033	−	0.0460802i
$879$	849.538	−	123.203i	0.966482	−	0.140163i
$880$	758.725	+	204.197i	0.862188	+	0.232043i
$881$			991.403i			1.12532i	0.826690	+	0.562658i	$0.190221\pi$
$881$			991.403i			1.12532i	−0.826690	+	0.562658i	$0.809779\pi$
$882$	1231.24	−	453.929i	1.39597	−	0.514658i
$883$	202.833	−	202.833i	0.229709	−	0.229709i	−0.582862	−	0.812571i	$-0.698067\pi$
$883$	202.833	−	202.833i	0.229709	−	0.229709i	0.812571	+	0.582862i	$0.198067\pi$
$884$	133.436	+	102.506i	0.150946	+	0.115957i
$885$	−415.314	−	966.590i	−0.469282	−	1.09219i
$886$	189.353	+	166.151i	0.213717	+	0.187529i
$887$	−695.264	+	1204.23i	−0.783837	+	1.35765i	0.145854	+	0.989306i	$0.453407\pi$
$887$	−695.264	+	1204.23i	−0.783837	+	1.35765i	−0.929691	+	0.368340i	$0.879926\pi$
$888$	−140.049	−	119.807i	−0.157713	−	0.134917i
$889$	−2094.85	+	1209.46i	−2.35641	+	1.36047i
$890$	9.21737	−	46.2722i	0.0103566	−	0.0519912i
$891$	−850.468	−	765.578i	−0.954509	−	0.859235i
$892$	−166.891	+	402.284i	−0.187098	+	0.450991i
$893$	−35.9992	+	134.351i	−0.0403127	+	0.150449i
$894$	70.0760	+	22.7881i	0.0783847	+	0.0254900i
$895$	483.632	−	837.676i	0.540371	−	0.935950i
$896$	−1268.71	+	622.613i	−1.41597	+	0.694881i
$897$	147.946	−	370.861i	0.164934	−	0.413446i
$898$	136.747	−	277.104i	0.152280	−	0.308579i
$899$	240.896	+	240.896i	0.267960	+	0.267960i
$900$	−376.052	−	273.500i	−0.417836	−	0.303889i
$901$	130.532	+	130.532i	0.144875	+	0.144875i
$902$	−1806.46	+	612.654i	−2.00273	+	0.679218i
$903$	2234.09	−	323.997i	2.47408	−	0.358801i
$904$	118.352	−	347.707i	0.130920	−	0.384631i
$905$	−272.464	+	471.922i	−0.301066	+	0.521461i
$906$	73.5196	−	1396.28i	0.0811475	−	1.54114i
$907$	−203.416	+	759.158i	−0.224273	+	0.836999i	0.758421	+	0.651765i	$0.225971\pi$
$907$	−203.416	+	759.158i	−0.224273	+	0.836999i	−0.982694	+	0.185234i	$0.940696\pi$
$908$	−670.608	+	277.341i	−0.738555	+	0.305442i
$909$	585.246	+	317.717i	0.643835	+	0.349523i
$910$	−799.614	+	533.966i	−0.878697	+	0.586776i
$911$	−109.077	+	62.9757i	−0.119733	+	0.0691281i	−0.558671	−	0.829390i	$-0.688688\pi$
$911$	−109.077	+	62.9757i	−0.119733	+	0.0691281i	0.438937	+	0.898518i	$0.355355\pi$
$912$	−1292.45	+	553.639i	−1.41716	+	0.607060i
$913$	734.724	−	1272.58i	0.804737	−	1.39384i
$914$	−24.7363	+	1.61445i	−0.0270638	+	0.00176636i
$915$	−896.999	−	106.139i	−0.980326	−	0.115999i
$916$	−1078.37	−	828.409i	−1.17726	−	0.904376i
$917$	−207.208	+	207.208i	−0.225963	+	0.225963i
$918$	−124.805	−	131.566i	−0.135954	−	0.143318i
$919$		−	1253.14i		−	1.36360i	−0.731540	−	0.681798i	$-0.761198\pi$
$919$		−	1253.14i		−	1.36360i	0.731540	−	0.681798i	$-0.238802\pi$
$920$	19.5692	−	294.830i	0.0212709	−	0.320467i
$921$	−259.573	−	329.246i	−0.281838	−	0.357488i
$922$	45.6350	−	52.0078i	0.0494956	−	0.0564076i
$923$	−17.2079	−	64.2207i	−0.0186434	−	0.0695782i
$924$	1306.77	−	1340.03i	1.41425	−	1.45025i
$925$	95.8091	+	25.6720i	0.103577	+	0.0277535i
$926$	−1072.27	+	716.042i	−1.15796	+	0.773264i
$927$	−1112.67	−	1055.76i	−1.20030	−	1.13890i
$928$	−378.243	−	567.775i	−0.407590	−	0.611827i
$929$	431.611	−	249.191i	0.464598	−	0.268236i	−0.249378	−	0.968406i	$-0.580226\pi$
$929$	431.611	−	249.191i	0.464598	−	0.268236i	0.713976	+	0.700171i	$0.246893\pi$
$930$	247.732	−	222.949i	0.266379	−	0.239730i
$931$	552.711	+	2062.75i	0.593675	+	2.21563i
$932$	−385.077	−	502.416i	−0.413173	−	0.539073i
$933$	−13.8564	−	10.3464i	−0.0148514	−	0.0110894i
$934$	64.7681	+	190.974i	0.0693449	+	0.204469i
$935$	−164.916			−0.176380
$936$	−879.800	+	198.369i	−0.939958	+	0.211933i
$937$			1583.01i			1.68944i	0.535206	+	0.844722i	$0.320234\pi$
$937$			1583.01i			1.68944i	−0.535206	+	0.844722i	$0.679766\pi$
$938$	137.665	+	405.916i	0.146765	+	0.432747i
$939$	35.2375	+	82.0107i	0.0375266	+	0.0873383i
$940$	−8.65390	+	65.4538i	−0.00920627	+	0.0696317i
$941$	491.456	−	131.685i	0.522270	−	0.139942i	0.0119534	−	0.999929i	$-0.496195\pi$
$941$	491.456	−	131.685i	0.522270	−	0.139942i	0.510316	+	0.859987i	$0.329528\pi$
$942$	754.511	+	245.360i	0.800967	+	0.260467i
$943$	358.671	+	621.236i	0.380351	+	0.658787i
$944$	1614.11	+	1.78121i	1.70986	+	0.00188687i
$945$	941.032	−	433.925i	0.995801	−	0.459180i
$946$	1601.40	−	1069.38i	1.69281	−	1.13043i
$947$	−78.1382	+	291.616i	−0.0825113	+	0.307937i	−0.994831	−	0.101542i	$-0.967623\pi$
$947$	−78.1382	+	291.616i	−0.0825113	+	0.307937i	0.912320	+	0.409478i	$0.134289\pi$
$948$	229.107	+	128.463i	0.241675	+	0.135510i
$949$	−319.394	+	85.5813i	−0.336558	+	0.0901805i
$950$	499.091	−	568.787i	0.525358	−	0.598723i
$951$	−1116.75	−	445.498i	−1.17429	−	0.468452i
$952$	223.177	−	195.395i	0.234430	−	0.205247i
$953$	−84.3913			−0.0885533			−0.0442767	−	0.999019i	$-0.514098\pi$
$953$	−84.3913			−0.0885533			−0.0442767	+	0.999019i	$0.514098\pi$
$954$	−985.315	+	90.3237i	−1.03283	+	0.0946790i
$955$	−201.438	−	201.438i	−0.210930	−	0.210930i
$956$	170.693	+	1302.09i	0.178549	+	1.36202i
$957$	723.992	+	540.596i	0.756522	+	0.564886i
$958$	712.036	−	46.4720i	0.743253	−	0.0485094i
$959$	2.64627	+	1.52782i	0.00275940	+	0.00159314i
$960$	−574.138	+	340.314i	−0.598060	+	0.354494i
$961$	352.827	+	611.115i	0.367146	+	0.635915i
$962$	159.991	−	106.839i	0.166311	−	0.111059i
$963$	1020.02	−	625.155i	1.05921	−	0.649174i
$964$	−144.295	+	347.815i	−0.149683	+	0.360804i
$965$	373.358	+	100.041i	0.386900	+	0.103670i
$966$	−590.227	−	383.504i	−0.611001	−	0.397002i
$967$	−1245.77	−	719.245i	−1.28828	−	0.743791i	−0.309935	−	0.950758i	$-0.600307\pi$
$967$	−1245.77	−	719.245i	−1.28828	−	0.743791i	−0.978348	+	0.206967i	$0.933641\pi$
$968$	202.547	−	595.066i	0.209243	−	0.614738i
$969$	231.753	−	182.710i	0.239167	−	0.188556i
$970$	−30.7164	+	10.4174i	−0.0316664	+	0.0107395i
$971$	1256.25	−	1256.25i	1.29377	−	1.29377i	0.361332	−	0.932437i	$-0.382322\pi$
$971$	1256.25	−	1256.25i	1.29377	−	1.29377i	0.932437	−	0.361332i	$-0.117678\pi$
$972$	969.944	−	63.1834i	0.997885	−	0.0650035i
$973$	1382.56	−	1382.56i	1.42092	−	1.42092i
$974$	270.735	−	548.616i	0.277963	−	0.563260i
$975$	381.170	−	300.509i	0.390943	−	0.308214i
$976$	694.243	−	1199.41i	0.711315	−	1.22890i
$977$	1016.92	+	587.120i	1.04086	+	0.600942i	0.920077	−	0.391737i	$-0.128126\pi$
$977$	1016.92	+	587.120i	1.04086	+	0.600942i	0.120785	+	0.992679i	$0.461459\pi$
$978$	118.602	+	558.656i	0.121270	+	0.571223i
$979$	−92.6058	−	24.8136i	−0.0945922	−	0.0253459i
$980$	387.404	+	936.737i	0.395310	+	0.955854i
$981$	−696.911	+	427.126i	−0.710409	+	0.435398i
$982$	309.492	−	1553.68i	0.315165	−	1.58216i
$983$	327.243	+	566.802i	0.332903	+	0.576604i	0.983080	−	0.183178i	$-0.0586386\pi$
$983$	327.243	+	566.802i	0.332903	+	0.576604i	−0.650177	+	0.759783i	$0.725305\pi$
$984$	698.728	−	1461.91i	0.710090	−	1.48568i
$985$	−281.444	−	162.491i	−0.285729	−	0.164966i
$986$	107.632	+	94.4436i	0.109161	+	0.0957846i
$987$	126.023	+	94.0997i	0.127683	+	0.0953391i
$988$	−190.770	−	1455.24i	−0.193087	−	1.47292i
$989$	−512.054	−	512.054i	−0.517749	−	0.517749i
$990$	565.371	−	679.487i	0.571082	−	0.686350i
$991$	−1069.10			−1.07881			−0.539406	−	0.842046i	$-0.681351\pi$
$991$	−1069.10			−1.07881			−0.539406	+	0.842046i	$0.681351\pi$
$992$	163.698	+	484.434i	0.165019	+	0.488341i
$993$	−1137.23	−	453.670i	−1.14525	−	0.456868i
$994$	−116.957	+	7.63336i	−0.117663	+	0.00767944i
$995$	−1119.19	+	299.885i	−1.12481	+	0.301392i
$996$	338.185	+	1201.51i	0.339543	+	1.20634i
$997$	8.27773	−	30.8929i	0.00830264	−	0.0309859i	−0.961650	−	0.274279i	$-0.911561\pi$
$997$	8.27773	−	30.8929i	0.00830264	−	0.0309859i	0.969953	+	0.243293i	$0.0782276\pi$
$998$	5.84092	−	29.3220i	0.00585263	−	0.0293808i
$999$	−188.287	+	86.8221i	−0.188475	+	0.0869090i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	144.3.w.a.5.7	✓	184
3.2	odd	2		432.3.x.a.341.40		184
9.2	odd	6	inner	144.3.w.a.101.23	yes	184
9.7	even	3		432.3.x.a.197.24		184
16.13	even	4	inner	144.3.w.a.77.23	yes	184
48.29	odd	4		432.3.x.a.125.24		184
144.29	odd	12	inner	144.3.w.a.29.7	yes	184
144.61	even	12		432.3.x.a.413.40		184

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
144.3.w.a.5.7	✓	184	1.1	even	1	trivial
144.3.w.a.29.7	yes	184	144.29	odd	12	inner
144.3.w.a.77.23	yes	184	16.13	even	4	inner
144.3.w.a.101.23	yes	184	9.2	odd	6	inner
432.3.x.a.125.24		184	48.29	odd	4
432.3.x.a.197.24		184	9.7	even	3
432.3.x.a.341.40		184	3.2	odd	2
432.3.x.a.413.40		184	144.61	even	12

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:	\( N \)	\(=\)	\( 144 = 2^{4} \cdot 3^{2} \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	144.w (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.79350 - 0.885072i) q^{2} +(0.352522 - 2.97922i) q^{3} +(2.43329 + 3.17476i) q^{4} +(0.899691 + 3.35769i) q^{5} +(-3.26907 + 5.03122i) q^{6} +(-9.56176 + 5.52049i) q^{7} +(-1.55423 - 7.84757i) q^{8} +(-8.75146 - 2.10048i) q^{9} +O(q^{10})\)	\(q+(-1.79350 - 0.885072i) q^{2} +(0.352522 - 2.97922i) q^{3} +(2.43329 + 3.17476i) q^{4} +(0.899691 + 3.35769i) q^{5} +(-3.26907 + 5.03122i) q^{6} +(-9.56176 + 5.52049i) q^{7} +(-1.55423 - 7.84757i) q^{8} +(-8.75146 - 2.10048i) q^{9} +(1.35820 - 6.81832i) q^{10} +(-13.6457 - 3.65635i) q^{11} +(10.3161 - 6.13014i) q^{12} +(3.24202 + 12.0994i) q^{13} +(22.0351 - 1.43815i) q^{14} +(10.3205 - 1.49671i) q^{15} +(-4.15816 + 15.4502i) q^{16} -3.35825i q^{17} +(13.8367 + 11.5129i) q^{18} +(-20.7129 + 20.7129i) q^{19} +(-8.47065 + 11.0266i) q^{20} +(13.0760 + 30.4326i) q^{21} +(21.2374 + 18.6351i) q^{22} +(5.31262 - 9.20173i) q^{23} +(-23.9275 + 1.86394i) q^{24} +(11.1860 - 6.45822i) q^{25} +(4.89426 - 24.5697i) q^{26} +(-9.34286 + 25.3320i) q^{27} +(-40.7928 - 16.9233i) q^{28} +(5.51793 - 20.5932i) q^{29} +(-19.8345 - 6.44999i) q^{30} +(-7.98977 + 13.8387i) q^{31} +(21.1322 - 24.0297i) q^{32} +(-15.7035 + 39.3645i) q^{33} +(-2.97229 + 6.02302i) q^{34} +(-27.1387 - 27.1387i) q^{35} +(-14.6264 - 32.8948i) q^{36} +(5.43006 + 5.43006i) q^{37} +(55.4811 - 18.8162i) q^{38} +(37.1895 - 5.39338i) q^{39} +(24.9514 - 12.2790i) q^{40} +(-33.7565 + 58.4680i) q^{41} +(3.48329 - 66.1542i) q^{42} +(17.6396 - 65.8318i) q^{43} +(-21.5960 - 52.2188i) q^{44} +(-0.820845 - 31.2745i) q^{45} +(-17.6724 + 11.8013i) q^{46} +(4.11217 - 2.37416i) q^{47} +(44.5637 + 17.8346i) q^{48} +(36.4515 - 63.1359i) q^{49} +(-25.7780 + 1.68244i) q^{50} +(-10.0049 - 1.18386i) q^{51} +(-30.5238 + 39.7340i) q^{52} +(-38.8691 + 38.8691i) q^{53} +(39.1771 - 37.1639i) q^{54} -49.1077i q^{55} +(58.1836 + 66.4565i) q^{56} +(54.4065 + 69.0100i) q^{57} +(-28.1229 + 32.0502i) q^{58} +(-26.1101 - 97.4442i) q^{59} +(29.8644 + 29.1230i) q^{60} +(-83.6635 - 22.4176i) q^{61} +(26.5779 - 17.7482i) q^{62} +(95.2750 - 28.2280i) q^{63} +(-59.1687 + 24.3938i) q^{64} +(-37.7092 + 21.7714i) q^{65} +(63.0047 - 56.7017i) q^{66} +(5.02385 + 18.7493i) q^{67} +(10.6616 - 8.17160i) q^{68} +(-25.5411 - 19.0713i) q^{69} +(24.6536 + 72.6931i) q^{70} -5.30777 q^{71} +(-2.88190 + 71.9423i) q^{72} +26.3975i q^{73} +(-4.93283 - 14.5448i) q^{74} +(-15.2971 - 35.6021i) q^{75} +(-116.159 - 15.3578i) q^{76} +(150.662 - 40.3697i) q^{77} +(-71.4730 - 23.2424i) q^{78} +(10.9444 + 18.9562i) q^{79} +(-55.6182 - 0.0613761i) q^{80} +(72.1760 + 36.7645i) q^{81} +(112.291 - 74.9854i) q^{82} +(-26.9215 + 100.472i) q^{83} +(-64.7985 + 115.565i) q^{84} +(11.2760 - 3.02138i) q^{85} +(-89.9025 + 102.457i) q^{86} +(-59.4064 - 23.6987i) q^{87} +(-7.48497 + 112.768i) q^{88} +6.78644 q^{89} +(-26.2080 + 56.8174i) q^{90} +(-97.7939 - 97.7939i) q^{91} +(42.1404 - 5.52424i) q^{92} +(38.4119 + 28.6817i) q^{93} +(-9.47649 + 0.618496i) q^{94} +(-88.1829 - 50.9124i) q^{95} +(-64.1402 - 71.4285i) q^{96} +(-2.33267 - 4.04031i) q^{97} +(-121.256 + 80.9721i) q^{98} +(111.740 + 60.6609i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 184 q - 6 q^{2} - 4 q^{3} - 2 q^{4} - 6 q^{5} - 10 q^{6}+O(q^{10}) \) 184 * q - 6 * q^2 - 4 * q^3 - 2 * q^4 - 6 * q^5 - 10 * q^6	\( 184 q - 6 q^{2} - 4 q^{3} - 2 q^{4} - 6 q^{5} - 10 q^{6} - 8 q^{10} - 6 q^{11} - 64 q^{12} - 2 q^{13} - 6 q^{14} - 8 q^{15} - 2 q^{16} + 54 q^{18} - 8 q^{19} + 120 q^{20} - 22 q^{21} - 2 q^{22} - 160 q^{24} + 44 q^{27} - 72 q^{28} - 6 q^{29} - 90 q^{30} - 4 q^{31} - 6 q^{32} - 8 q^{33} + 6 q^{34} - 202 q^{36} - 8 q^{37} - 6 q^{38} - 2 q^{40} + 44 q^{42} - 2 q^{43} + 46 q^{45} - 160 q^{46} - 12 q^{47} - 118 q^{48} + 472 q^{49} + 228 q^{50} - 48 q^{51} - 2 q^{52} + 206 q^{54} - 300 q^{56} - 92 q^{58} - 438 q^{59} - 90 q^{60} - 2 q^{61} - 204 q^{63} + 244 q^{64} - 12 q^{65} - 508 q^{66} - 2 q^{67} - 144 q^{68} + 14 q^{69} + 96 q^{70} + 6 q^{72} + 246 q^{74} + 152 q^{75} - 158 q^{76} - 6 q^{77} + 304 q^{78} - 4 q^{79} - 8 q^{81} - 388 q^{82} - 726 q^{83} + 542 q^{84} + 48 q^{85} + 894 q^{86} + 22 q^{88} - 528 q^{90} - 204 q^{91} - 348 q^{92} + 62 q^{93} - 18 q^{94} - 12 q^{95} + 262 q^{96} - 4 q^{97} + 286 q^{99}+O(q^{100}) \) 184 * q - 6 * q^2 - 4 * q^3 - 2 * q^4 - 6 * q^5 - 10 * q^6 - 8 * q^10 - 6 * q^11 - 64 * q^12 - 2 * q^13 - 6 * q^14 - 8 * q^15 - 2 * q^16 + 54 * q^18 - 8 * q^19 + 120 * q^20 - 22 * q^21 - 2 * q^22 - 160 * q^24 + 44 * q^27 - 72 * q^28 - 6 * q^29 - 90 * q^30 - 4 * q^31 - 6 * q^32 - 8 * q^33 + 6 * q^34 - 202 * q^36 - 8 * q^37 - 6 * q^38 - 2 * q^40 + 44 * q^42 - 2 * q^43 + 46 * q^45 - 160 * q^46 - 12 * q^47 - 118 * q^48 + 472 * q^49 + 228 * q^50 - 48 * q^51 - 2 * q^52 + 206 * q^54 - 300 * q^56 - 92 * q^58 - 438 * q^59 - 90 * q^60 - 2 * q^61 - 204 * q^63 + 244 * q^64 - 12 * q^65 - 508 * q^66 - 2 * q^67 - 144 * q^68 + 14 * q^69 + 96 * q^70 + 6 * q^72 + 246 * q^74 + 152 * q^75 - 158 * q^76 - 6 * q^77 + 304 * q^78 - 4 * q^79 - 8 * q^81 - 388 * q^82 - 726 * q^83 + 542 * q^84 + 48 * q^85 + 894 * q^86 + 22 * q^88 - 528 * q^90 - 204 * q^91 - 348 * q^92 + 62 * q^93 - 18 * q^94 - 12 * q^95 + 262 * q^96 - 4 * q^97 + 286 * q^99

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