LMFDB - Embedded newform 144.3.v.a.43.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [144,3,Mod(43,144)]

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([6, 3, 8]))

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

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

chi := DirichletCharacter("144.43");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 144 = 2^{4} \cdot 3^{2} $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	144.v (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			43.5
Character	$\chi$	$=$	144.43
Dual form			144.3.v.a.67.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.92787 - 0.532286i) q^{2} +(2.18726 + 2.05326i) q^{3} +(3.43334 + 2.05235i) q^{4} +(-0.931824 + 3.47761i) q^{5} +(-3.12383 - 5.12267i) q^{6} +(-4.96512 + 8.59983i) q^{7} +(-5.52659 - 5.78418i) q^{8} +(0.568222 + 8.98204i) q^{9} +O(q^{10})$	\(q+(-1.92787 - 0.532286i) q^{2} +(2.18726 + 2.05326i) q^{3} +(3.43334 + 2.05235i) q^{4} +(-0.931824 + 3.47761i) q^{5} +(-3.12383 - 5.12267i) q^{6} +(-4.96512 + 8.59983i) q^{7} +(-5.52659 - 5.78418i) q^{8} +(0.568222 + 8.98204i) q^{9} +(3.64752 - 6.20838i) q^{10} +(-4.02325 - 15.0150i) q^{11} +(3.29560 + 11.5386i) q^{12} +(-8.74803 - 2.34403i) q^{13} +(14.1497 - 13.9365i) q^{14} +(-9.17860 + 5.69317i) q^{15} +(7.57569 + 14.0929i) q^{16} -14.7019 q^{17} +(3.68556 - 17.6186i) q^{18} +(15.7768 + 15.7768i) q^{19} +(-10.3366 + 10.0274i) q^{20} +(-28.5177 + 8.61539i) q^{21} +(-0.235967 + 31.0884i) q^{22} +(0.521500 + 0.903264i) q^{23} +(-0.211648 - 23.9991i) q^{24} +(10.4251 + 6.01896i) q^{25} +(15.6173 + 9.17543i) q^{26} +(-17.1996 + 20.8128i) q^{27} +(-34.6968 + 19.3360i) q^{28} +(14.5819 + 54.4203i) q^{29} +(20.7255 - 6.09004i) q^{30} +(14.1702 - 8.18120i) q^{31} +(-7.10350 - 31.2016i) q^{32} +(22.0298 - 41.1024i) q^{33} +(28.3432 + 7.82559i) q^{34} +(-25.2803 - 25.2803i) q^{35} +(-16.4834 + 32.0046i) q^{36} +(23.5878 + 23.5878i) q^{37} +(-22.0178 - 38.8132i) q^{38} +(-14.3213 - 23.0890i) q^{39} +(25.2650 - 13.8295i) q^{40} +(27.8648 - 16.0878i) q^{41} +(59.5642 - 1.42975i) q^{42} +(-14.1340 - 52.7487i) q^{43} +(17.0028 - 59.8087i) q^{44} +(-31.7656 - 6.39362i) q^{45} +(-0.524588 - 2.01896i) q^{46} +(-29.7013 - 17.1481i) q^{47} +(-12.3663 + 46.3797i) q^{48} +(-24.8048 - 42.9631i) q^{49} +(-16.8945 - 17.1529i) q^{50} +(-32.1568 - 30.1868i) q^{51} +(-25.2242 - 26.0019i) q^{52} +(45.5882 + 45.5882i) q^{53} +(44.2370 - 30.9692i) q^{54} +55.9652 q^{55} +(77.1832 - 18.8086i) q^{56} +(2.11406 + 66.9017i) q^{57} +(0.855239 - 112.677i) q^{58} +(74.0385 + 19.8386i) q^{59} +(-43.1977 + 0.708887i) q^{60} +(10.9108 + 40.7197i) q^{61} +(-31.6731 + 8.22964i) q^{62} +(-80.0654 - 39.7103i) q^{63} +(-2.91357 + 63.9336i) q^{64} +(16.3032 - 28.2380i) q^{65} +(-64.3487 + 67.5139i) q^{66} +(15.2108 - 56.7674i) q^{67} +(-50.4765 - 30.1734i) q^{68} +(-0.713983 + 3.04645i) q^{69} +(35.2807 + 62.1934i) q^{70} +21.2349 q^{71} +(48.8135 - 52.9268i) q^{72} +64.7759i q^{73} +(-32.9187 - 58.0295i) q^{74} +(10.4440 + 34.5706i) q^{75} +(21.7876 + 86.5465i) q^{76} +(149.102 + 39.9518i) q^{77} +(15.3197 + 52.1356i) q^{78} +(-72.3968 - 41.7983i) q^{79} +(-56.0687 + 13.2133i) q^{80} +(-80.3542 + 10.2076i) q^{81} +(-62.2830 + 16.1830i) q^{82} +(-30.8935 + 8.27789i) q^{83} +(-115.593 - 28.9488i) q^{84} +(13.6995 - 51.1274i) q^{85} +(-0.828968 + 109.216i) q^{86} +(-79.8448 + 148.972i) q^{87} +(-64.6145 + 106.253i) q^{88} -59.6819i q^{89} +(57.8365 + 29.2344i) q^{90} +(63.5933 - 63.5933i) q^{91} +(-0.0633289 + 4.17152i) q^{92} +(47.7922 + 11.2008i) q^{93} +(48.1325 + 48.8687i) q^{94} +(-69.5666 + 40.1643i) q^{95} +(48.5279 - 82.8314i) q^{96} +(46.0650 - 79.7869i) q^{97} +(24.9516 + 96.0304i) q^{98} +(132.579 - 44.6688i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 184 q - 2 q^{2} - 4 q^{3} - 2 q^{4} - 2 q^{5} + 2 q^{6} - 4 q^{7} - 8 q^{8}+O(q^{10}) $ 184 * q - 2 * q^2 - 4 * q^3 - 2 * q^4 - 2 * q^5 + 2 * q^6 - 4 * q^7 - 8 * q^8	\( 184 q - 2 q^{2} - 4 q^{3} - 2 q^{4} - 2 q^{5} + 2 q^{6} - 4 q^{7} - 8 q^{8} - 8 q^{10} - 2 q^{11} + 56 q^{12} - 2 q^{13} + 14 q^{14} - 2 q^{16} - 16 q^{17} + 38 q^{18} - 8 q^{19} - 44 q^{20} + 14 q^{21} - 2 q^{22} - 4 q^{23} + 120 q^{24} - 104 q^{26} - 52 q^{27} + 56 q^{28} - 2 q^{29} - 130 q^{30} - 182 q^{32} - 8 q^{33} - 10 q^{34} + 92 q^{35} - 2 q^{36} - 8 q^{37} - 254 q^{38} + 184 q^{39} - 2 q^{40} - 252 q^{42} - 2 q^{43} - 140 q^{44} - 54 q^{45} + 176 q^{46} + 162 q^{48} - 480 q^{49} - 96 q^{50} - 120 q^{51} - 2 q^{52} - 8 q^{53} + 94 q^{54} - 16 q^{55} + 260 q^{56} + 88 q^{58} + 142 q^{59} - 434 q^{60} - 2 q^{61} - 636 q^{62} + 244 q^{64} - 4 q^{65} - 100 q^{66} - 2 q^{67} - 112 q^{68} + 14 q^{69} - 100 q^{70} - 16 q^{71} + 98 q^{72} + 82 q^{74} - 296 q^{75} + 154 q^{76} + 194 q^{77} + 228 q^{78} + 592 q^{80} - 8 q^{81} - 420 q^{82} + 238 q^{83} - 22 q^{84} - 52 q^{85} - 170 q^{86} - 456 q^{87} - 26 q^{88} + 808 q^{90} + 188 q^{91} + 176 q^{92} + 26 q^{93} - 18 q^{94} - 202 q^{96} - 4 q^{97} + 408 q^{98} - 38 q^{99}+O(q^{100}) \) 184 * q - 2 * q^2 - 4 * q^3 - 2 * q^4 - 2 * q^5 + 2 * q^6 - 4 * q^7 - 8 * q^8 - 8 * q^10 - 2 * q^11 + 56 * q^12 - 2 * q^13 + 14 * q^14 - 2 * q^16 - 16 * q^17 + 38 * q^18 - 8 * q^19 - 44 * q^20 + 14 * q^21 - 2 * q^22 - 4 * q^23 + 120 * q^24 - 104 * q^26 - 52 * q^27 + 56 * q^28 - 2 * q^29 - 130 * q^30 - 182 * q^32 - 8 * q^33 - 10 * q^34 + 92 * q^35 - 2 * q^36 - 8 * q^37 - 254 * q^38 + 184 * q^39 - 2 * q^40 - 252 * q^42 - 2 * q^43 - 140 * q^44 - 54 * q^45 + 176 * q^46 + 162 * q^48 - 480 * q^49 - 96 * q^50 - 120 * q^51 - 2 * q^52 - 8 * q^53 + 94 * q^54 - 16 * q^55 + 260 * q^56 + 88 * q^58 + 142 * q^59 - 434 * q^60 - 2 * q^61 - 636 * q^62 + 244 * q^64 - 4 * q^65 - 100 * q^66 - 2 * q^67 - 112 * q^68 + 14 * q^69 - 100 * q^70 - 16 * q^71 + 98 * q^72 + 82 * q^74 - 296 * q^75 + 154 * q^76 + 194 * q^77 + 228 * q^78 + 592 * q^80 - 8 * q^81 - 420 * q^82 + 238 * q^83 - 22 * q^84 - 52 * q^85 - 170 * q^86 - 456 * q^87 - 26 * q^88 + 808 * q^90 + 188 * q^91 + 176 * q^92 + 26 * q^93 - 18 * q^94 - 202 * q^96 - 4 * q^97 + 408 * q^98 - 38 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$37$	$65$	$127$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{2}{3}\right)$	$-1$

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 $

$2$	−1.92787	−	0.532286i	−0.963934	−	0.266143i
$2$	−1.92787	−	0.532286i	−0.963934	−	0.266143i
$3$	2.18726	+	2.05326i	0.729087	+	0.684421i
$3$	2.18726	+	2.05326i	0.729087	+	0.684421i
$4$	3.43334	+	2.05235i	0.858336	+	0.513088i
$5$	−0.931824	+	3.47761i	−0.186365	+	0.695523i	0.807970	+	0.589224i	$0.200567\pi$
$5$	−0.931824	+	3.47761i	−0.186365	+	0.695523i	−0.994334	+	0.106298i	$0.966100\pi$
$6$	−3.12383	−	5.12267i	−0.520638	−	0.853778i
$7$	−4.96512	+	8.59983i	−0.709302	+	1.22855i	0.255814	+	0.966726i	$0.417657\pi$
$7$	−4.96512	+	8.59983i	−0.709302	+	1.22855i	−0.965116	+	0.261822i	$0.915677\pi$
$8$	−5.52659	−	5.78418i	−0.690824	−	0.723023i
$9$	0.568222	+	8.98204i	0.0631358	+	0.998005i
$10$	3.64752	−	6.20838i	0.364752	−	0.620838i
$11$	−4.02325	−	15.0150i	−0.365750	−	1.36500i	−0.866402	−	0.499348i	$-0.833573\pi$
$11$	−4.02325	−	15.0150i	−0.365750	−	1.36500i	0.500652	−	0.865649i	$-0.333094\pi$
$12$	3.29560	+	11.5386i	0.274633	+	0.961549i
$13$	−8.74803	−	2.34403i	−0.672926	−	0.180310i	−0.0938532	−	0.995586i	$-0.529918\pi$
$13$	−8.74803	−	2.34403i	−0.672926	−	0.180310i	−0.579072	+	0.815276i	$0.696585\pi$
$14$	14.1497	−	13.9365i	1.01069	−	0.995463i
$15$	−9.17860	+	5.69317i	−0.611906	+	0.379545i
$16$	7.57569	+	14.0929i	0.473481	+	0.880804i
$17$	−14.7019			−0.864815			−0.432407	−	0.901678i	$-0.642336\pi$
$17$	−14.7019			−0.864815			−0.432407	+	0.901678i	$0.642336\pi$
$18$	3.68556	−	17.6186i	0.204753	−	0.978814i
$19$	15.7768	+	15.7768i	0.830356	+	0.830356i	0.987565	−	0.157209i	$-0.0502498\pi$
$19$	15.7768	+	15.7768i	0.830356	+	0.830356i	−0.157209	+	0.987565i	$0.550250\pi$
$20$	−10.3366	+	10.0274i	−0.516828	+	0.501370i
$21$	−28.5177	+	8.61539i	−1.35799	+	0.410257i
$22$	−0.235967	+	31.0884i	−0.0107258	+	1.41311i
$23$	0.521500	+	0.903264i	0.0226739	+	0.0392724i	0.877140	−	0.480235i	$-0.159449\pi$
$23$	0.521500	+	0.903264i	0.0226739	+	0.0392724i	−0.854466	+	0.519508i	$0.826115\pi$
$24$	−0.211648	−	23.9991i	−0.00881868	−	0.999961i
$25$	10.4251	+	6.01896i	0.417005	+	0.240758i
$26$	15.6173	+	9.17543i	0.600667	+	0.352901i
$27$	−17.1996	+	20.8128i	−0.637024	+	0.770844i
$28$	−34.6968	+	19.3360i	−1.23917	+	0.690572i
$29$	14.5819	+	54.4203i	0.502823	+	1.87656i	0.480848	+	0.876804i	$0.340329\pi$
$29$	14.5819	+	54.4203i	0.502823	+	1.87656i	0.0219754	+	0.999759i	$0.493004\pi$
$30$	20.7255	−	6.09004i	0.690850	−	0.203001i
$31$	14.1702	−	8.18120i	0.457105	−	0.263910i	−0.253721	−	0.967277i	$-0.581655\pi$
$31$	14.1702	−	8.18120i	0.457105	−	0.263910i	0.710826	+	0.703368i	$0.248321\pi$
$32$	−7.10350	−	31.2016i	−0.221984	−	0.975050i
$33$	22.0298	−	41.1024i	0.667569	−	1.24553i
$34$	28.3432	+	7.82559i	0.833624	+	0.230164i
$35$	−25.2803	−	25.2803i	−0.722294	−	0.722294i
$36$	−16.4834	+	32.0046i	−0.457873	+	0.889018i
$37$	23.5878	+	23.5878i	0.637508	+	0.637508i	0.949940	−	0.312432i	$-0.101144\pi$
$37$	23.5878	+	23.5878i	0.637508	+	0.637508i	−0.312432	+	0.949940i	$0.601144\pi$
$38$	−22.0178	−	38.8132i	−0.579415	−	1.02140i
$39$	−14.3213	−	23.0890i	−0.367213	−	0.592026i
$40$	25.2650	−	13.8295i	0.631624	−	0.345738i
$41$	27.8648	−	16.0878i	0.679630	−	0.392384i	−0.120086	−	0.992764i	$-0.538317\pi$
$41$	27.8648	−	16.0878i	0.679630	−	0.392384i	0.799716	+	0.600379i	$0.204984\pi$
$42$	59.5642	−	1.42975i	1.41820	−	0.0340417i
$43$	−14.1340	−	52.7487i	−0.328697	−	1.22671i	−0.910543	−	0.413414i	$-0.864336\pi$
$43$	−14.1340	−	52.7487i	−0.328697	−	1.22671i	0.581846	−	0.813299i	$-0.302331\pi$
$44$	17.0028	−	59.8087i	0.386428	−	1.35929i
$45$	−31.7656	−	6.39362i	−0.705901	−	0.142081i
$46$	−0.524588	−	2.01896i	−0.0114041	−	0.0438904i
$47$	−29.7013	−	17.1481i	−0.631942	−	0.364852i	0.149561	−	0.988752i	$-0.452214\pi$
$47$	−29.7013	−	17.1481i	−0.631942	−	0.364852i	−0.781504	+	0.623900i	$0.785547\pi$
$48$	−12.3663	+	46.3797i	−0.257632	+	0.966243i
$49$	−24.8048	−	42.9631i	−0.506220	−	0.876799i
$50$	−16.8945	−	17.1529i	−0.337889	−	0.343058i
$51$	−32.1568	−	30.1868i	−0.630525	−	0.591897i
$52$	−25.2242	−	26.0019i	−0.485081	−	0.500037i
$53$	45.5882	+	45.5882i	0.860155	+	0.860155i	0.991356	−	0.131201i	$-0.0418833\pi$
$53$	45.5882	+	45.5882i	0.860155	+	0.860155i	−0.131201	+	0.991356i	$0.541883\pi$
$54$	44.2370	−	30.9692i	0.819204	−	0.573503i
$55$	55.9652			1.01755
$56$	77.1832	−	18.8086i	1.37827	−	0.335868i
$57$	2.11406	+	66.9017i	0.0370887	+	1.17371i
$58$	0.855239	−	112.677i	0.0147455	−	1.94270i
$59$	74.0385	+	19.8386i	1.25489	+	0.336247i	0.824223	−	0.566265i	$-0.191612\pi$
$59$	74.0385	+	19.8386i	1.25489	+	0.336247i	0.430666	+	0.902511i	$0.358279\pi$
$60$	−43.1977	+	0.708887i	−0.719961	+	0.0118148i
$61$	10.9108	+	40.7197i	0.178866	+	0.667536i	0.995861	+	0.0908914i	$0.0289716\pi$
$61$	10.9108	+	40.7197i	0.178866	+	0.667536i	−0.816995	+	0.576645i	$0.804362\pi$
$62$	−31.6731	+	8.22964i	−0.510856	+	0.132736i
$63$	−80.0654	−	39.7103i	−1.27088	−	0.630322i
$64$	−2.91357	+	63.9336i	−0.0455245	+	0.998963i
$65$	16.3032	−	28.2380i	0.250819	−	0.434432i
$66$	−64.3487	+	67.5139i	−0.974981	+	1.02294i
$67$	15.2108	−	56.7674i	0.227027	−	0.847275i	−0.754556	−	0.656236i	$-0.772148\pi$
$67$	15.2108	−	56.7674i	0.227027	−	0.847275i	0.981582	−	0.191039i	$-0.0611857\pi$
$68$	−50.4765	−	30.1734i	−0.742302	−	0.443726i
$69$	−0.713983	+	3.04645i	−0.0103476	+	0.0441515i
$70$	35.2807	+	62.1934i	0.504010	+	0.888477i
$71$	21.2349			0.299082			0.149541	−	0.988755i	$-0.452220\pi$
$71$	21.2349			0.299082			0.149541	+	0.988755i	$0.452220\pi$
$72$	48.8135	−	52.9268i	0.677965	−	0.735094i
$73$			64.7759i			0.887341i	0.896190	+	0.443671i	$0.146324\pi$
$73$			64.7759i			0.887341i	−0.896190	+	0.443671i	$0.853676\pi$
$74$	−32.9187	−	58.0295i	−0.444847	−	0.784183i
$75$	10.4440	+	34.5706i	0.139253	+	0.460941i
$76$	21.7876	+	86.5465i	0.286678	+	1.13877i
$77$	149.102	+	39.9518i	1.93639	+	0.518854i
$78$	15.3197	+	52.1356i	0.196406	+	0.668405i
$79$	−72.3968	−	41.7983i	−0.916416	−	0.529093i	−0.0339258	−	0.999424i	$-0.510801\pi$
$79$	−72.3968	−	41.7983i	−0.916416	−	0.529093i	−0.882490	+	0.470332i	$0.844134\pi$
$80$	−56.0687	+	13.2133i	−0.700859	+	0.165166i
$81$	−80.3542	+	10.2076i	−0.992028	+	0.126020i
$82$	−62.2830	+	16.1830i	−0.759548	+	0.197354i
$83$	−30.8935	+	8.27789i	−0.372211	+	0.0997336i	−0.440075	−	0.897961i	$-0.645048\pi$
$83$	−30.8935	+	8.27789i	−0.372211	+	0.0997336i	0.0678642	+	0.997695i	$0.478382\pi$
$84$	−115.593	−	28.9488i	−1.37611	−	0.344629i
$85$	13.6995	−	51.1274i	0.161171	−	0.601498i
$86$	−0.828968	+	109.216i	−0.00963916	+	1.26995i
$87$	−79.8448	+	148.972i	−0.917757	+	1.71232i
$88$	−64.6145	+	106.253i	−0.734255	+	1.20742i
$89$		−	59.6819i		−	0.670583i	−0.942114	−	0.335291i	$-0.891165\pi$
$89$		−	59.6819i		−	0.670583i	0.942114	−	0.335291i	$-0.108835\pi$
$90$	57.8365	+	29.2344i	0.642628	+	0.324827i
$91$	63.5933	−	63.5933i	0.698827	−	0.698827i
$92$	−0.0633289	+	4.17152i	−0.000688357	+	0.0453426i
$93$	47.7922	+	11.2008i	0.513894	+	0.120439i
$94$	48.1325	+	48.8687i	0.512048	+	0.519880i
$95$	−69.5666	+	40.1643i	−0.732280	+	0.422782i
$96$	48.5279	−	82.8314i	0.505499	−	0.862827i
$97$	46.0650	−	79.7869i	0.474897	−	0.822546i	−0.524690	−	0.851294i	$-0.675819\pi$
$97$	46.0650	−	79.7869i	0.474897	−	0.822546i	0.999587	+	0.0287478i	$0.00915197\pi$
$98$	24.9516	+	96.0304i	0.254609	+	0.979902i
$99$	132.579	−	44.6688i	1.33918	−	0.451200i
$100$	23.4401	+	42.0612i	0.234401	+	0.420612i
$101$	−98.0282	+	26.2666i	−0.970576	+	0.260065i	−0.709071	−	0.705137i	$-0.750886\pi$
$101$	−98.0282	+	26.2666i	−0.970576	+	0.260065i	−0.261505	+	0.965202i	$0.584219\pi$
$102$	45.9260	+	75.3127i	0.450255	+	0.738360i
$103$	11.2070	+	19.4111i	0.108806	+	0.188458i	0.915287	−	0.402803i	$-0.131964\pi$
$103$	11.2070	+	19.4111i	0.108806	+	0.188458i	−0.806481	+	0.591260i	$0.798631\pi$
$104$	34.7885	+	63.5547i	0.334505	+	0.611103i
$105$	−3.38751	−	107.202i	−0.0322620	−	1.02097i
$106$	−63.6220	−	112.154i	−0.600208	−	1.05806i
$107$	−59.0126	+	59.0126i	−0.551520	+	0.551520i	−0.926879	−	0.375360i	$-0.877519\pi$
$107$	−59.0126	+	59.0126i	−0.551520	+	0.551520i	0.375360	+	0.926879i	$0.377519\pi$
$108$	−101.767	+	36.1577i	−0.942292	+	0.334793i
$109$	89.3804	−	89.3804i	0.820003	−	0.820003i	−0.166105	−	0.986108i	$-0.553119\pi$
$109$	89.3804	−	89.3804i	0.820003	−	0.820003i	0.986108	+	0.166105i	$0.0531190\pi$
$110$	−107.893	−	29.7895i	−0.980850	−	0.270813i
$111$	3.16072	+	100.025i	0.0284749	+	0.901122i
$112$	−158.811	−	4.82300i	−1.41795	−	0.0430625i
$113$	73.7168	+	127.681i	0.652361	+	1.12992i	0.982548	+	0.186007i	$0.0595547\pi$
$113$	73.7168	+	127.681i	0.652361	+	1.12992i	−0.330188	+	0.943915i	$0.607112\pi$
$114$	31.5352	−	130.103i	0.276625	−	1.14125i
$115$	−3.62715	+	0.971892i	−0.0315404	+	0.00845123i
$116$	−61.6251	+	216.771i	−0.531251	+	1.86871i
$117$	16.0833	−	79.9071i	0.137464	−	0.682967i
$118$	−132.177	−	77.6557i	−1.12014	−	0.658099i
$119$	72.9964	−	126.434i	0.613415	−	1.06247i
$120$	83.6567	+	21.6269i	0.697139	+	0.180224i
$121$	−104.474	+	60.3178i	−0.863418	+	0.498495i
$122$	0.639928	−	84.3098i	0.00524531	−	0.691064i
$123$	93.9801	+	22.0257i	0.764066	+	0.179070i
$124$	65.4420	+	0.993492i	0.527758	+	0.00801203i
$125$	−94.2907	+	94.2907i	−0.754326	+	0.754326i
$126$	133.218	+	119.174i	1.05729	+	0.945824i
$127$		−	199.422i		−	1.57025i	−0.619337	−	0.785125i	$-0.712599\pi$
$127$		−	199.422i		−	1.57025i	0.619337	−	0.785125i	$-0.287401\pi$
$128$	39.6480	−	121.705i	0.309750	−	0.950818i
$129$	77.3922	−	144.396i	0.599940	−	1.11935i
$130$	−46.4612	+	45.7612i	−0.357394	+	0.352009i
$131$	16.6866	−	62.2751i	0.127378	−	0.475382i	−0.872535	−	0.488552i	$-0.837525\pi$
$131$	16.6866	−	62.2751i	0.127378	−	0.475382i	0.999913	+	0.0131694i	$0.00419208\pi$
$132$	159.992	−	95.9059i	1.21206	−	0.726560i
$133$	−214.011	+	57.3441i	−1.60911	+	0.431158i
$134$	−59.5409	+	101.344i	−0.444335	+	0.756295i
$135$	−56.3518	−	79.2076i	−0.417421	−	0.586723i
$136$	81.2511	+	85.0382i	0.597435	+	0.625281i
$137$	−13.8776	−	8.01223i	−0.101296	−	0.0584835i	0.448496	−	0.893785i	$-0.351960\pi$
$137$	−13.8776	−	8.01223i	−0.101296	−	0.0584835i	−0.549792	+	0.835301i	$0.685293\pi$
$138$	2.99805	−	5.49311i	0.0217250	−	0.0398051i
$139$	248.701	+	66.6391i	1.78921	+	0.479418i	0.992212	−	0.124560i	$-0.0397519\pi$
$139$	248.701	+	66.6391i	1.78921	+	0.479418i	0.797001	+	0.603978i	$0.206419\pi$
$140$	−34.9118	−	138.680i	−0.249370	−	0.990571i
$141$	−29.7550	−	98.4918i	−0.211029	−	0.698524i
$142$	−40.9380	−	11.3030i	−0.288296	−	0.0795987i
$143$			140.782i			0.984489i
$144$	−122.278	+	76.0531i	−0.849153	+	0.528147i
$145$	−202.841			−1.39890
$146$	34.4793	−	124.879i	0.236160	−	0.855338i
$147$	33.9601	−	144.902i	0.231021	−	0.985730i
$148$	32.5745	+	129.395i	0.220098	+	0.874293i
$149$	9.78826	−	36.5303i	0.0656930	−	0.245170i	−0.925269	−	0.379311i	$-0.876161\pi$
$149$	9.78826	−	36.5303i	0.0656930	−	0.245170i	0.990962	+	0.134141i	$0.0428276\pi$
$150$	−1.73321	−	72.2067i	−0.0115547	−	0.481378i
$151$	44.9747	−	77.8985i	0.297846	−	0.515884i	−0.677797	−	0.735249i	$-0.737065\pi$
$151$	44.9747	−	77.8985i	0.297846	−	0.515884i	0.975643	+	0.219365i	$0.0703985\pi$
$152$	4.06397	−	178.447i	0.0267367	−	1.17400i
$153$	−8.35392	−	132.053i	−0.0546008	−	0.863090i
$154$	−266.183	−	156.387i	−1.72846	−	1.01550i
$155$	15.2469	+	56.9021i	0.0983669	+	0.367110i
$156$	−1.78322	−	108.665i	−0.0114309	−	0.696570i
$157$	−80.1261	−	21.4697i	−0.510357	−	0.136750i	−0.00555466	−	0.999985i	$-0.501768\pi$
$157$	−80.1261	−	21.4697i	−0.510357	−	0.136750i	−0.504803	+	0.863235i	$0.668435\pi$
$158$	117.323	+	119.117i	0.742549	+	0.753908i
$159$	6.10874	+	193.318i	0.0384197	+	1.21584i
$160$	115.126	+	4.37117i	0.719540	+	0.0273198i
$161$	−10.3572			−0.0643306
$162$	160.346	+	23.0925i	0.989788	+	0.142547i
$163$	217.217	+	217.217i	1.33262	+	1.33262i	0.903021	+	0.429597i	$0.141344\pi$
$163$	217.217	+	217.217i	1.33262	+	1.33262i	0.429597	+	0.903021i	$0.358656\pi$
$164$	128.687	+	1.95363i	0.784679	+	0.0119124i
$165$	122.410	+	114.911i	0.741882	+	0.696432i
$166$	63.9648	+	0.485505i	0.385330	+	0.00292473i
$167$	−43.2559	−	74.9215i	−0.259018	−	0.448632i	0.706961	−	0.707252i	$-0.250065\pi$
$167$	−43.2559	−	74.9215i	−0.259018	−	0.448632i	−0.965979	+	0.258620i	$0.916732\pi$
$168$	207.439	+	117.338i	1.23476	+	0.698441i
$169$	−75.3247	−	43.4887i	−0.445708	−	0.257330i
$170$	−53.6253	+	91.2747i	−0.315443	+	0.536910i
$171$	−132.743	+	150.672i	−0.776274	+	0.881125i
$172$	59.7321	−	210.112i	0.347280	−	1.22158i
$173$	56.4354	+	210.620i	0.326216	+	1.21746i	0.913084	+	0.407772i	$0.133694\pi$
$173$	56.4354	+	210.620i	0.326216	+	1.21746i	−0.586868	+	0.809683i	$0.699639\pi$
$174$	233.226	−	244.698i	1.34038	−	1.40631i
$175$	−103.524	+	59.7696i	−0.591566	+	0.341541i
$176$	181.125	−	170.448i	1.02912	−	0.968454i
$177$	121.208	+	195.413i	0.684789	+	1.10403i
$178$	−31.7678	+	115.059i	−0.178471	+	0.646397i
$179$	43.6339	+	43.6339i	0.243765	+	0.243765i	0.818406	−	0.574641i	$-0.194858\pi$
$179$	43.6339	+	43.6339i	0.243765	+	0.243765i	−0.574641	+	0.818406i	$0.694858\pi$
$180$	−95.9401	−	87.1456i	−0.533001	−	0.484142i
$181$	85.1885	+	85.1885i	0.470654	+	0.470654i	0.902126	−	0.431472i	$-0.142006\pi$
$181$	85.1885	+	85.1885i	0.470654	+	0.470654i	−0.431472	+	0.902126i	$0.642006\pi$
$182$	−156.449	+	88.7496i	−0.859611	+	0.487635i
$183$	−59.7435	+	111.467i	−0.326467	+	0.609111i
$184$	2.34253	−	8.00842i	0.0127311	−	0.0435240i
$185$	−104.009	+	60.0495i	−0.562210	+	0.324592i
$186$	−86.1749	−	47.0328i	−0.463306	−	0.252865i
$187$	59.1492	+	220.748i	0.316306	+	1.18047i
$188$	−66.7809	−	119.833i	−0.355218	−	0.637408i
$189$	−93.5883	−	251.252i	−0.495176	−	1.32938i
$190$	155.494	−	40.4021i	0.818390	−	0.212643i
$191$	−43.1023	−	24.8851i	−0.225667	−	0.130289i	0.382905	−	0.923788i	$-0.374924\pi$
$191$	−43.1023	−	24.8851i	−0.225667	−	0.130289i	−0.608571	+	0.793499i	$0.708257\pi$
$192$	−137.645	+	133.857i	−0.716903	+	0.697173i
$193$	−153.993	−	266.725i	−0.797894	−	1.38199i	−0.920985	−	0.389597i	$-0.872614\pi$
$193$	−153.993	−	266.725i	−0.797894	−	1.38199i	0.123092	−	0.992395i	$-0.460719\pi$
$194$	−131.277	+	129.299i	−0.676684	+	0.666489i
$195$	93.6396	−	28.2891i	0.480203	−	0.145072i
$196$	3.01219	−	198.415i	0.0153683	−	1.01232i
$197$	−86.0934	−	86.0934i	−0.437022	−	0.437022i	0.453986	−	0.891009i	$-0.350001\pi$
$197$	−86.0934	−	86.0934i	−0.437022	−	0.437022i	−0.891009	+	0.453986i	$0.850001\pi$
$198$	−279.371	+	15.5456i	−1.41097	+	0.0785134i
$199$	−251.854			−1.26560			−0.632798	−	0.774317i	$-0.718094\pi$
$199$	−251.854			−1.26560			−0.632798	+	0.774317i	$0.718094\pi$
$200$	−22.8007	−	93.5652i	−0.114004	−	0.467826i
$201$	149.828	−	92.9334i	0.745415	−	0.462355i
$202$	202.967	+	1.54056i	1.00479	+	0.00762652i
$203$	−540.406	−	144.801i	−2.66210	−	0.713308i
$204$	−48.4514	−	169.639i	−0.237507	−	0.831562i
$205$	29.9819	+	111.894i	0.146253	+	0.545825i
$206$	−11.2734	−	43.3874i	−0.0547251	−	0.210619i
$207$	−7.81683	+	5.19739i	−0.0377625	+	0.0251082i
$208$	−33.2383	−	141.042i	−0.159800	−	0.678089i
$209$	173.414	−	300.361i	0.829731	−	1.43714i
$210$	−50.5313	+	208.474i	−0.240625	+	0.992732i
$211$	−18.7609	+	70.0168i	−0.0889144	+	0.331833i	−0.996027	−	0.0890556i	$-0.971615\pi$
$211$	−18.7609	+	70.0168i	−0.0889144	+	0.331833i	0.907112	+	0.420889i	$0.138282\pi$
$212$	62.9569	+	250.083i	0.296966	+	1.17964i
$213$	46.4462	+	43.6007i	0.218057	+	0.204698i
$214$	145.180	−	82.3569i	0.678411	−	0.384845i
$215$	196.610			0.914464
$216$	215.440	−	15.5378i	0.997409	−	0.0719345i
$217$			162.482i			0.748767i
$218$	−219.889	+	124.738i	−1.00867	+	0.572191i
$219$	−133.002	+	141.682i	−0.607315	+	0.646949i
$220$	192.148	+	114.860i	0.873399	+	0.522092i
$221$	128.612	+	34.4616i	0.581956	+	0.155935i
$222$	47.1482	−	194.516i	0.212379	−	0.876200i
$223$	196.248	+	113.304i	0.880035	+	0.508088i	0.870670	−	0.491868i	$-0.163686\pi$
$223$	196.248	+	113.304i	0.880035	+	0.508088i	0.00936503	+	0.999956i	$0.497019\pi$
$224$	303.598	+	93.8307i	1.35535	+	0.418887i
$225$	−48.1387	+	97.0592i	−0.213950	+	0.431374i
$226$	−74.1533	−	285.391i	−0.328112	−	1.26279i
$227$	−255.085	+	68.3499i	−1.12372	+	0.301101i	−0.772389	−	0.635149i	$-0.780939\pi$
$227$	−255.085	+	68.3499i	−1.12372	+	0.301101i	−0.351334	+	0.936250i	$0.614272\pi$
$228$	−130.048	+	234.035i	−0.570385	+	1.02647i
$229$	41.4437	−	154.670i	0.180977	−	0.675414i	−0.814479	−	0.580192i	$-0.802977\pi$
$229$	41.4437	−	154.670i	0.180977	−	0.675414i	0.995456	−	0.0952217i	$-0.0303560\pi$
$230$	7.50999	+	0.0570022i	0.0326521	+	0.000247836i
$231$	244.094	+	393.531i	1.05668	+	1.70360i
$232$	234.189	−	385.103i	1.00944	−	1.65993i
$233$		−	109.426i		−	0.469639i	−0.972039	−	0.234819i	$-0.924550\pi$
$233$		−	109.426i		−	0.469639i	0.972039	−	0.234819i	$-0.0754499\pi$
$234$	−73.5400	+	145.489i	−0.314273	+	0.621750i
$235$	87.3107	−	87.3107i	0.371535	−	0.371535i
$236$	213.484	+	220.066i	0.904592	+	0.932482i
$237$	−72.5278	−	240.074i	−0.306025	−	1.01297i
$238$	−208.026	+	204.892i	−0.874060	+	0.860891i
$239$	184.796	−	106.692i	0.773203	−	0.446409i	−0.0608128	−	0.998149i	$-0.519369\pi$
$239$	184.796	−	106.692i	0.773203	−	0.446409i	0.834016	+	0.551740i	$0.186036\pi$
$240$	−149.767	−	86.2230i	−0.624030	−	0.359263i
$241$	−114.315	+	197.999i	−0.474335	+	0.821573i	−0.999568	−	0.0293859i	$-0.990645\pi$
$241$	−114.315	+	197.999i	−0.474335	+	0.821573i	0.525233	+	0.850958i	$0.323978\pi$
$242$	233.517	−	60.6750i	0.964948	−	0.250723i
$243$	−196.715	−	142.662i	−0.809525	−	0.587085i
$244$	−46.1106	+	162.198i	−0.188978	+	0.664744i
$245$	172.523	−	46.2273i	0.704175	−	0.188683i
$246$	−169.457	−	92.4868i	−0.688850	−	0.375963i
$247$	−101.034	−	174.997i	−0.409046	−	0.708489i
$248$	−125.635	−	36.7492i	−0.506592	−	0.148182i
$249$	−84.5688	−	45.3266i	−0.339634	−	0.182034i
$250$	231.970	−	131.590i	0.927878	−	0.526361i
$251$	253.466	−	253.466i	1.00983	−	1.00983i	0.00987539	−	0.999951i	$-0.496857\pi$
$251$	253.466	−	253.466i	1.00983	−	1.00983i	0.999951	−	0.00987539i	$-0.00314348\pi$
$252$	−193.392	−	300.661i	−0.767430	−	1.19310i
$253$	11.4644	−	11.4644i	0.0453137	−	0.0453137i
$254$	−106.149	+	384.459i	−0.417911	+	1.51362i
$255$	134.942	−	83.7001i	0.529186	−	0.328236i
$256$	−141.218	+	213.526i	−0.551632	+	0.834088i
$257$	73.7272	+	127.699i	0.286876	+	0.496884i	0.973062	−	0.230542i	$-0.0740498\pi$
$257$	73.7272	+	127.699i	0.286876	+	0.496884i	−0.686186	+	0.727426i	$0.740716\pi$
$258$	−226.062	+	237.181i	−0.876208	+	0.919307i
$259$	−319.967	+	85.7349i	−1.23539	+	0.331023i
$260$	113.929	−	63.4909i	0.438189	−	0.244196i
$261$	−480.520	+	161.898i	−1.84107	+	0.620299i
$262$	−65.3176	+	111.176i	−0.249304	+	0.424336i
$263$	−31.5022	+	54.5635i	−0.119780	+	0.207466i	−0.919681	−	0.392667i	$-0.871552\pi$
$263$	−31.5022	+	54.5635i	−0.119780	+	0.207466i	0.799900	+	0.600133i	$0.204886\pi$
$264$	−359.494	+	99.7321i	−1.36172	+	0.377773i
$265$	−201.018	+	116.058i	−0.758560	+	0.437955i
$266$	443.108	+	3.36328i	1.66582	+	0.0126439i
$267$	122.543	−	130.540i	0.458961	−	0.488913i
$268$	168.731	−	163.684i	0.629592	−	0.610762i
$269$	−96.0686	+	96.0686i	−0.357132	+	0.357132i	−0.862755	−	0.505623i	$-0.831263\pi$
$269$	−96.0686	+	96.0686i	−0.357132	+	0.357132i	0.505623	+	0.862755i	$0.331263\pi$
$270$	66.4777	+	182.697i	0.246214	+	0.676655i
$271$			38.2571i			0.141170i	0.997506	+	0.0705851i	$0.0224866\pi$
$271$			38.2571i			0.141170i	−0.997506	+	0.0705851i	$0.977513\pi$
$272$	−111.377	−	207.191i	−0.409473	−	0.761733i
$273$	269.669	−	8.52138i	0.987798	−	0.0312138i
$274$	22.4894	+	22.8334i	0.0820780	+	0.0833335i
$275$	48.4315	−	180.749i	0.176115	−	0.657268i
$276$	−8.70374	+	8.99417i	−0.0315353	+	0.0325876i
$277$	29.3882	−	7.87455i	0.106095	−	0.0284280i	−0.205381	−	0.978682i	$-0.565843\pi$
$277$	29.3882	−	7.87455i	0.106095	−	0.0284280i	0.311476	+	0.950254i	$0.399177\pi$
$278$	−443.991	−	260.851i	−1.59709	−	0.938314i
$279$	81.5357	+	122.629i	0.292243	+	0.439531i
$280$	−6.51201	+	285.940i	−0.0232572	+	1.02121i
$281$	−138.187	−	79.7823i	−0.491769	−	0.283923i	0.233539	−	0.972347i	$-0.424969\pi$
$281$	−138.187	−	79.7823i	−0.491769	−	0.283923i	−0.725308	+	0.688425i	$0.758303\pi$
$282$	4.93793	+	205.717i	0.0175104	+	0.729494i
$283$	−450.158	−	120.620i	−1.59067	−	0.426217i	−0.648459	−	0.761250i	$-0.724586\pi$
$283$	−450.158	−	120.620i	−1.59067	−	0.426217i	−0.942207	+	0.335032i	$0.891253\pi$
$284$	72.9065	+	43.5814i	0.256713	+	0.153456i
$285$	−234.628	−	54.9887i	−0.823257	−	0.192943i
$286$	74.9363	−	271.409i	0.262015	−	0.948982i
$287$			319.511i			1.11328i
$288$	276.218	−	81.5334i	0.959090	−	0.283102i
$289$	−72.8555			−0.252095
$290$	391.050	+	107.969i	1.34845	+	0.372307i
$291$	264.580	−	79.9313i	0.909209	−	0.274678i
$292$	−132.943	+	222.398i	−0.455284	+	0.761637i
$293$	−72.4978	+	270.565i	−0.247433	+	0.923431i	0.724713	+	0.689051i	$0.241973\pi$
$293$	−72.4978	+	270.565i	−0.247433	+	0.923431i	−0.972145	+	0.234380i	$0.924694\pi$
$294$	−142.600	+	261.276i	−0.485034	+	0.888694i
$295$	−137.982	+	238.991i	−0.467734	+	0.810139i
$296$	6.07603	−	266.796i	0.0205271	−	0.901338i
$297$	381.702	+	174.517i	1.28519	+	0.587600i
$298$	−38.3150	+	65.2154i	−0.128574	+	0.218844i
$299$	−2.44482	−	9.12419i	−0.00817666	−	0.0305157i
$300$	−35.0932	+	140.127i	−0.116977	+	0.467091i
$301$	523.807	+	140.354i	1.74022	+	0.466291i
$302$	−128.170	+	126.239i	−0.424403	+	0.418009i
$303$	−268.346	−	143.826i	−0.885629	−	0.474673i
$304$	−102.820	+	341.860i	−0.338223	+	1.12454i
$305$	−151.774			−0.497621
$306$	−54.1845	+	259.027i	−0.177074	+	0.846493i
$307$	383.840	+	383.840i	1.25029	+	1.25029i	0.955588	+	0.294706i	$0.0952217\pi$
$307$	383.840	+	383.840i	1.25029	+	1.25029i	0.294706	+	0.955588i	$0.404778\pi$
$308$	429.924	+	443.178i	1.39586	+	1.43889i
$309$	−15.3435	+	65.4682i	−0.0496553	+	0.211871i
$310$	0.894241	−	117.815i	0.00288465	−	0.380049i
$311$	−266.461	−	461.524i	−0.856787	−	1.48400i	−0.874977	−	0.484164i	$-0.839124\pi$
$311$	−266.461	−	461.524i	−0.856787	−	1.48400i	0.0181901	−	0.999835i	$-0.494210\pi$
$312$	−54.4030	+	210.441i	−0.174369	+	0.674489i
$313$	432.179	+	249.519i	1.38076	+	0.797185i	0.992250	−	0.124257i	$-0.0396549\pi$
$313$	432.179	+	249.519i	1.38076	+	0.797185i	0.388515	+	0.921442i	$0.372988\pi$
$314$	143.044	+	84.0408i	0.455556	+	0.267646i
$315$	212.704	−	241.433i	0.675250	−	0.766455i
$316$	−162.778	−	292.092i	−0.515121	−	0.924341i
$317$	−95.6856	−	357.104i	−0.301847	−	1.12651i	−0.935625	−	0.352995i	$-0.885163\pi$
$317$	−95.6856	−	357.104i	−0.301847	−	1.12651i	0.633778	−	0.773515i	$-0.281503\pi$
$318$	91.1235	−	375.943i	0.286552	−	1.18221i
$319$	758.453	−	437.893i	2.37759	−	1.37270i
$320$	−219.622	−	69.7072i	−0.686317	−	0.217835i
$321$	−250.244	+	7.90758i	−0.779577	+	0.0246342i
$322$	19.9674	+	5.51301i	0.0620105	+	0.0171211i
$323$	−231.948	−	231.948i	−0.718104	−	0.718104i
$324$	−296.833	−	129.869i	−0.916152	−	0.400830i
$325$	−77.0908	−	77.0908i	−0.237203	−	0.237203i
$326$	−303.144	−	534.386i	−0.929888	−	1.63922i
$327$	379.020	−	11.9768i	1.15908	−	0.0366263i
$328$	−247.052	−	72.2648i	−0.753208	−	0.220319i
$329$	294.941	−	170.284i	0.896477	−	0.517581i
$330$	−174.826	−	286.691i	−0.529774	−	0.868761i
$331$	−1.27418	−	4.75531i	−0.00384949	−	0.0143665i	0.963974	−	0.265995i	$-0.0857005\pi$
$331$	−1.27418	−	4.75531i	−0.00384949	−	0.0143665i	−0.967824	+	0.251629i	$0.919034\pi$
$332$	−123.057	−	34.9835i	−0.370654	−	0.105372i
$333$	−198.463	+	225.270i	−0.595986	+	0.676485i
$334$	43.5121	+	167.463i	0.130276	+	0.501387i
$335$	183.241	+	105.794i	0.546989	+	0.315804i
$336$	−337.457	−	336.629i	−1.00434	−	1.00187i
$337$	171.688	+	297.372i	0.509460	+	0.882411i	0.999940	+	0.0109581i	$0.00348814\pi$
$337$	171.688	+	297.372i	0.509460	+	0.882411i	−0.490480	+	0.871452i	$0.663179\pi$
$338$	122.068	+	123.935i	0.361147	+	0.366671i
$339$	−100.925	+	430.632i	−0.297715	+	1.27030i
$340$	151.967	−	147.422i	0.446961	−	0.433593i
$341$	−179.851	−	179.851i	−0.527422	−	0.527422i
$342$	336.111	−	219.819i	0.982782	−	0.642746i
$343$	6.05293			0.0176470
$344$	−226.995	+	373.274i	−0.659870	+	1.08510i
$345$	−9.92907	−	5.32171i	−0.0287799	−	0.0154252i
$346$	3.30998	−	436.087i	0.00956642	−	1.26037i
$347$	89.0470	+	23.8601i	0.256620	+	0.0687610i	0.384835	−	0.922985i	$-0.374258\pi$
$347$	89.0470	+	23.8601i	0.256620	+	0.0687610i	−0.128216	+	0.991746i	$0.540925\pi$
$348$	−579.878	+	347.602i	−1.66631	+	0.998856i
$349$	−99.1425	−	370.005i	−0.284076	−	1.06019i	−0.949512	−	0.313731i	$-0.898421\pi$
$349$	−99.1425	−	370.005i	−0.284076	−	1.06019i	0.665436	−	0.746455i	$-0.268246\pi$
$350$	231.395	−	60.1235i	0.661129	−	0.171782i
$351$	199.249	−	141.754i	0.567660	−	0.403859i
$352$	−439.912	+	232.191i	−1.24975	+	0.659632i
$353$	46.1376	−	79.9127i	0.130701	−	0.226382i	−0.793246	−	0.608902i	$-0.791610\pi$
$353$	46.1376	−	79.9127i	0.130701	−	0.226382i	0.923947	+	0.382520i	$0.124944\pi$
$354$	−129.657	−	441.247i	−0.366263	−	1.24646i
$355$	−19.7871	+	73.8466i	−0.0557384	+	0.208019i
$356$	122.488	−	204.908i	0.344068	−	0.575585i
$357$	419.263	−	126.662i	1.17441	−	0.354796i
$358$	−60.8947	−	107.346i	−0.170097	−	0.299850i
$359$	242.194			0.674636			0.337318	−	0.941391i	$-0.390480\pi$
$359$	242.194			0.674636			0.337318	+	0.941391i	$0.390480\pi$
$360$	138.573	+	219.073i	0.384926	+	0.608536i
$361$			136.812i			0.378982i
$362$	−118.887	−	209.577i	−0.328418	−	0.578941i
$363$	−352.359	−	82.5808i	−0.970687	−	0.227495i
$364$	348.853	−	87.8217i	0.958388	−	0.241268i
$365$	−225.266	−	60.3597i	−0.617166	−	0.165369i
$366$	174.510	−	183.094i	0.476803	−	0.500256i
$367$	−125.775	−	72.6159i	−0.342710	−	0.197864i	0.318760	−	0.947836i	$-0.396734\pi$
$367$	−125.775	−	72.6159i	−0.342710	−	0.197864i	−0.661470	+	0.749972i	$0.730067\pi$
$368$	−8.77886	+	14.1923i	−0.0238556	+	0.0385660i
$369$	160.334	+	241.142i	0.434511	+	0.653500i
$370$	232.479	−	60.4051i	0.628321	−	0.163257i
$371$	−618.402	+	165.700i	−1.66685	+	0.446631i
$372$	141.099	+	136.543i	0.379298	+	0.367050i
$373$	142.410	−	531.480i	0.381795	−	1.42488i	−0.461362	−	0.887212i	$-0.652639\pi$
$373$	142.410	−	531.480i	0.381795	−	1.42488i	0.843157	−	0.537667i	$-0.180694\pi$
$374$	3.46915	−	457.057i	0.00927580	−	1.22208i
$375$	−399.842	+	12.6348i	−1.06625	+	0.0336928i
$376$	64.9595	+	266.568i	0.172764	+	0.708958i
$377$		−	510.251i		−	1.35345i
$378$	46.6878	+	534.196i	0.123513	+	1.41322i
$379$	127.911	−	127.911i	0.337495	−	0.337495i	−0.517929	−	0.855424i	$-0.673297\pi$
$379$	127.911	−	127.911i	0.337495	−	0.337495i	0.855424	+	0.517929i	$0.173297\pi$
$380$	−321.278	−	4.87740i	−0.845467	−	0.0128353i
$381$	409.465	−	436.188i	1.07471	−	1.14485i
$382$	69.8495	+	70.9180i	0.182852	+	0.185649i
$383$	110.092	−	63.5614i	0.287445	−	0.165957i	−0.349344	−	0.936995i	$-0.613595\pi$
$383$	110.092	−	63.5614i	0.287445	−	0.165957i	0.636789	+	0.771038i	$0.280262\pi$
$384$	336.612	−	184.792i	0.876594	−	0.481230i
$385$	−277.874	+	481.291i	−0.721750	+	1.25011i
$386$	154.905	+	596.178i	0.401309	+	1.54450i
$387$	465.760	−	156.925i	1.20351	−	0.405491i
$388$	321.908	−	179.394i	0.829660	−	0.462356i
$389$	714.959	−	191.573i	1.83794	−	0.492475i	0.839257	−	0.543735i	$-0.182990\pi$
$389$	714.959	−	191.573i	1.83794	−	0.492475i	0.998685	+	0.0512601i	$0.0163238\pi$
$390$	−195.583	+	4.69466i	−0.501494	+	0.0120376i
$391$	−7.66701	−	13.2797i	−0.0196087	−	0.0339633i
$392$	−111.421	+	380.915i	−0.284237	+	0.971722i
$393$	164.365	−	101.950i	0.418231	−	0.259415i
$394$	120.150	+	211.803i	0.304950	+	0.537571i
$395$	212.819	−	212.819i	0.538784	−	0.538784i
$396$	546.865	+	118.735i	1.38097	+	0.299837i
$397$	−188.911	+	188.911i	−0.475847	+	0.475847i	−0.903801	−	0.427954i	$-0.859235\pi$
$397$	−188.911	+	188.911i	−0.475847	+	0.475847i	0.427954	+	0.903801i	$0.359235\pi$
$398$	485.540	+	134.058i	1.21995	+	0.336829i
$399$	−585.840	−	313.994i	−1.46827	−	0.786953i
$400$	−5.84667	+	192.518i	−0.0146167	+	0.481295i
$401$	−86.1172	−	149.159i	−0.214756	−	0.371968i	0.738441	−	0.674318i	$-0.235562\pi$
$401$	−86.1172	−	149.159i	−0.214756	−	0.371968i	−0.953197	+	0.302350i	$0.902229\pi$
$402$	−338.316	+	99.4118i	−0.841583	+	0.247293i
$403$	−143.139	+	38.3539i	−0.355183	+	0.0951710i
$404$	−390.473	−	111.006i	−0.966517	−	0.274768i
$405$	39.3779	−	288.953i	0.0972294	−	0.713463i
$406$	964.756	+	566.809i	2.37625	+	1.39608i
$407$	259.270	−	449.069i	0.637027	−	1.10336i
$408$	3.11162	+	352.831i	0.00762652	+	0.864781i
$409$	−462.372	+	266.950i	−1.13049	+	0.652690i	−0.944059	−	0.329777i	$-0.893026\pi$
$409$	−462.372	+	266.950i	−1.13049	+	0.652690i	−0.186434	+	0.982467i	$0.559693\pi$
$410$	1.75846	−	231.676i	0.00428893	−	0.565063i
$411$	−13.9027	−	46.0192i	−0.0338265	−	0.111969i
$412$	−1.36094	+	89.6459i	−0.00330324	+	0.217587i
$413$	−538.218	+	538.218i	−1.30319	+	1.30319i
$414$	17.8363	−	5.85909i	0.0430829	−	0.0141524i
$415$		−	115.149i		−	0.277468i
$416$	−10.9958	+	289.603i	−0.0264322	+	0.696162i
$417$	407.146	+	656.405i	0.976368	+	1.57411i
$418$	−494.197	+	486.751i	−1.18229	+	1.16448i
$419$	−114.789	+	428.398i	−0.273959	+	1.02243i	0.682577	+	0.730814i	$0.260859\pi$
$419$	−114.789	+	428.398i	−0.273959	+	1.02243i	−0.956536	+	0.291615i	$0.905807\pi$
$420$	208.385	−	375.012i	0.496155	−	0.892887i
$421$	109.918	−	29.4524i	0.261088	−	0.0699583i	−0.125900	−	0.992043i	$-0.540182\pi$
$421$	109.918	−	29.4524i	0.261088	−	0.0699583i	0.386988	+	0.922085i	$0.373515\pi$
$422$	73.4376	−	124.997i	0.174023	−	0.296201i
$423$	137.148	−	276.522i	0.324226	−	0.653717i
$424$	11.7432	−	515.638i	0.0276962	−	1.21613i
$425$	−153.269	−	88.4898i	−0.360633	−	0.208211i
$426$	−66.3340	−	108.779i	−0.155714	−	0.255350i
$427$	−404.356	−	108.347i	−0.946970	−	0.253740i
$428$	−323.725	+	81.4958i	−0.756367	+	0.190411i
$429$	−289.062	+	307.927i	−0.673805	+	0.717778i
$430$	−379.038	−	104.653i	−0.881483	−	0.243378i
$431$		−	373.253i		−	0.866017i	−0.901390	−	0.433008i	$-0.857452\pi$
$431$		−	373.253i		−	0.866017i	0.901390	−	0.433008i	$-0.142548\pi$
$432$	−423.611	−	84.7210i	−0.980581	−	0.196113i
$433$	144.334			0.333335			0.166667	−	0.986013i	$-0.446699\pi$
$433$	144.334			0.333335			0.166667	+	0.986013i	$0.446699\pi$
$434$	86.4871	−	313.244i	0.199279	−	0.721761i
$435$	−443.665	−	416.485i	−1.01992	−	0.957437i
$436$	490.314	−	123.433i	1.12457	−	0.283104i
$437$	−6.02301	+	22.4782i	−0.0137826	+	0.0514374i
$438$	331.825	−	202.349i	0.757592	−	0.461983i
$439$	6.54905	−	11.3433i	0.0149181	−	0.0258389i	−0.858470	−	0.512864i	$-0.828585\pi$
$439$	6.54905	−	11.3433i	0.0149181	−	0.0258389i	0.873388	+	0.487025i	$0.161918\pi$
$440$	−309.297	−	323.713i	−0.702947	−	0.735711i
$441$	371.802	−	247.210i	0.843089	−	0.560567i
$442$	−229.604	−	134.896i	−0.519466	−	0.305194i
$443$	156.786	+	585.134i	0.353919	+	1.32084i	0.881839	+	0.471550i	$0.156305\pi$
$443$	156.786	+	585.134i	0.353919	+	1.32084i	−0.527920	+	0.849294i	$0.677028\pi$
$444$	−194.434	+	349.906i	−0.437914	+	0.788076i
$445$	207.550	+	55.6130i	0.466406	+	0.124973i
$446$	−318.030	−	322.894i	−0.713071	−	0.723979i
$447$	96.4158	−	59.8034i	0.215695	−	0.133788i
$448$	−535.353	−	342.494i	−1.19498	−	0.764496i
$449$	256.877			0.572110			0.286055	−	0.958213i	$-0.407656\pi$
$449$	256.877			0.572110			0.286055	+	0.958213i	$0.407656\pi$
$450$	144.468	−	161.494i	0.321041	−	0.358875i
$451$	−353.664	−	353.664i	−0.784178	−	0.784178i
$452$	−8.95187	+	589.666i	−0.0198050	+	1.30457i
$453$	258.318	−	78.0395i	0.570238	−	0.172273i
$454$	528.152	+	4.00877i	1.16333	+	0.00882990i
$455$	161.895	+	280.410i	0.355813	+	0.616287i
$456$	375.288	−	381.967i	0.823001	−	0.837646i
$457$	−27.3246	−	15.7759i	−0.0597913	−	0.0345205i	0.469806	−	0.882770i	$-0.344324\pi$
$457$	−27.3246	−	15.7759i	−0.0597913	−	0.0345205i	−0.529598	+	0.848249i	$0.677657\pi$
$458$	−162.226	+	276.123i	−0.354206	+	0.602889i
$459$	252.867	−	305.987i	0.550908	−	0.666637i
$460$	−14.4479	−	4.10735i	−0.0314085	−	0.00892903i
$461$	186.337	+	695.418i	0.404201	+	1.50850i	0.805525	+	0.592562i	$0.201884\pi$
$461$	186.337	+	695.418i	0.404201	+	1.50850i	−0.401324	+	0.915936i	$0.631450\pi$
$462$	−261.109	−	888.603i	−0.565172	−	1.92338i
$463$	−159.604	+	92.1472i	−0.344716	+	0.199022i	−0.662356	−	0.749190i	$-0.730443\pi$
$463$	−159.604	+	92.1472i	−0.344716	+	0.199022i	0.317639	+	0.948212i	$0.397110\pi$
$464$	−656.470	+	617.772i	−1.41481	+	1.33141i
$465$	−83.4861	+	155.766i	−0.179540	+	0.334980i
$466$	−58.2458	+	210.958i	−0.124991	+	0.452701i
$467$	46.4675	+	46.4675i	0.0995021	+	0.0995021i	0.755105	−	0.655603i	$-0.227586\pi$
$467$	46.4675	+	46.4675i	0.0995021	+	0.0995021i	−0.655603	+	0.755105i	$0.727586\pi$
$468$	219.217	−	241.340i	0.468413	−	0.515684i
$469$	412.667	+	412.667i	0.879887	+	0.879887i
$470$	−214.798	+	121.849i	−0.457016	+	0.259253i
$471$	−131.174	−	211.480i	−0.278501	−	0.449002i
$472$	−294.431	−	537.892i	−0.623794	−	1.13960i
$473$	−735.155	+	424.442i	−1.55424	+	0.897340i
$474$	12.0362	+	501.436i	0.0253928	+	1.05788i
$475$	69.5153	+	259.435i	0.146348	+	0.546178i
$476$	510.108	−	284.275i	1.07166	−	0.597217i
$477$	−383.571	+	435.379i	−0.804132	+	0.912745i
$478$	−413.052	+	107.324i	−0.864125	+	0.224526i
$479$	427.785	+	246.982i	0.893080	+	0.515620i	0.874949	−	0.484216i	$-0.160895\pi$
$479$	427.785	+	246.982i	0.893080	+	0.515620i	0.0181311	+	0.999836i	$0.494228\pi$
$480$	242.836	+	245.946i	0.505909	+	0.512386i
$481$	−151.056	−	261.637i	−0.314046	−	0.543944i
$482$	325.776	−	320.868i	0.675883	−	0.665700i
$483$	−22.6540	−	21.2661i	−0.0469026	−	0.0440292i
$484$	−482.487	−	7.32476i	−0.996874	−	0.0151338i
$485$	234.544	+	234.544i	0.483595	+	0.483595i
$486$	303.303	+	379.741i	0.624080	+	0.781361i
$487$	−707.601			−1.45298			−0.726490	−	0.687177i	$-0.758850\pi$
$487$	−707.601			−1.45298			−0.726490	+	0.687177i	$0.758850\pi$
$488$	175.231	−	288.151i	0.359079	−	0.590474i
$489$	29.1066	+	921.113i	0.0595228	+	1.88367i
$490$	−357.207	−	2.71127i	−0.728994	−	0.00553321i
$491$	51.2214	+	13.7247i	0.104321	+	0.0279526i	0.310602	−	0.950540i	$-0.399469\pi$
$491$	51.2214	+	13.7247i	0.104321	+	0.0279526i	−0.206281	+	0.978493i	$0.566136\pi$
$492$	277.461	+	268.502i	0.563946	+	0.545736i
$493$	−214.381	−	800.079i	−0.434849	−	1.62288i
$494$	101.633	+	391.150i	0.205734	+	0.791801i
$495$	31.8007	+	502.682i	0.0642438	+	1.01552i
$496$	222.646	+	137.721i	0.448883	+	0.277664i
$497$	−105.434	+	182.616i	−0.212140	+	0.367437i
$498$	138.911	+	132.398i	0.278937	+	0.265860i
$499$	−186.702	+	696.783i	−0.374153	+	1.39636i	0.480425	+	0.877036i	$0.340482\pi$
$499$	−186.702	+	696.783i	−0.374153	+	1.39636i	−0.854578	+	0.519323i	$0.826184\pi$
$500$	−517.250	+	130.215i	−1.03450	+	0.260429i
$501$	59.2215	−	252.689i	0.118207	−	0.504369i
$502$	−623.566	+	353.733i	−1.24216	+	0.704648i
$503$	498.113			0.990285			0.495143	−	0.868812i	$-0.335116\pi$
$503$	498.113			0.990285			0.495143	+	0.868812i	$0.335116\pi$
$504$	212.797	+	682.575i	0.422217	+	1.35432i
$505$		−	365.380i		−	0.723525i
$506$	−28.2041	+	15.9994i	−0.0557393	+	0.0316195i
$507$	−75.4610	−	249.783i	−0.148838	−	0.492668i
$508$	409.284	−	684.684i	0.805677	−	1.34780i
$509$	−363.202	−	97.3197i	−0.713560	−	0.191198i	−0.116264	−	0.993218i	$-0.537092\pi$
$509$	−363.202	−	97.3197i	−0.713560	−	0.191198i	−0.597297	+	0.802020i	$0.703758\pi$
$510$	−304.703	+	89.5348i	−0.597458	+	0.175558i
$511$	−557.062	−	321.620i	−1.09014	−	0.629393i
$512$	385.906	−	336.483i	0.753723	−	0.657192i
$513$	−599.713	+	57.0036i	−1.16903	+	0.111118i
$514$	−74.1638	−	285.431i	−0.144287	−	0.555314i
$515$	−77.9474	+	20.8859i	−0.151354	+	0.0405552i
$516$	562.065	−	336.924i	1.08927	−	0.652954i
$517$	−137.982	+	514.955i	−0.266889	+	0.996044i
$518$	662.490	+	5.02842i	1.27894	+	0.00970738i
$519$	−309.019	+	576.557i	−0.595412	+	1.11090i
$520$	−253.435	+	61.7592i	−0.487376	+	0.118768i
$521$			720.896i			1.38368i	0.722052	+	0.691839i	$0.243199\pi$
$521$			720.896i			1.38368i	−0.722052	+	0.691839i	$0.756801\pi$
$522$	1012.55	−	56.3437i	1.93976	−	0.107938i
$523$	131.346	−	131.346i	0.251139	−	0.251139i	−0.570298	−	0.821438i	$-0.693172\pi$
$523$	131.346	−	131.346i	0.251139	−	0.251139i	0.821438	+	0.570298i	$0.193172\pi$
$524$	185.101	−	179.565i	0.353246	−	0.342681i
$525$	−349.157	−	81.8303i	−0.665061	−	0.155867i
$526$	89.7755	−	88.4230i	0.170676	−	0.168105i
$527$	−208.329	+	120.279i	−0.395311	+	0.228233i
$528$	746.142	−	0.916819i	1.41315	−	0.00173640i
$529$	263.956	−	457.185i	0.498972	−	0.864244i
$530$	449.313	−	116.745i	0.847760	−	0.220274i
$531$	−136.120	+	676.290i	−0.256347	+	1.27362i
$532$	−852.464	−	242.344i	−1.60238	−	0.455534i
$533$	−281.473	+	75.4203i	−0.528091	+	0.141502i
$534$	−305.730	+	186.436i	−0.572529	+	0.349131i
$535$	−150.234	−	260.212i	−0.280811	−	0.486378i
$536$	−412.417	+	225.748i	−0.769435	+	0.421172i
$537$	5.84687	+	185.031i	0.0108880	+	0.344564i
$538$	236.343	−	134.071i	0.439300	−	0.249204i
$539$	−545.294	+	545.294i	−1.01168	+	1.01168i
$540$	−30.9131	−	387.601i	−0.0572465	−	0.717779i
$541$	625.528	−	625.528i	1.15624	−	1.15624i	0.170967	−	0.985277i	$-0.445311\pi$
$541$	625.528	−	625.528i	1.15624	−	1.15624i	0.985277	−	0.170967i	$-0.0546890\pi$
$542$	20.3637	−	73.7546i	0.0375714	−	0.136079i
$543$	11.4151	+	361.244i	0.0210223	+	0.665274i
$544$	104.435	+	458.721i	0.191975	+	0.843238i
$545$	227.544	+	394.117i	0.417511	+	0.723151i
$546$	−524.421	−	127.113i	−0.960479	−	0.232807i
$547$	661.324	−	177.201i	1.20900	−	0.323951i	0.402632	−	0.915362i	$-0.368095\pi$
$547$	661.324	−	177.201i	1.20900	−	0.323951i	0.806371	+	0.591411i	$0.201429\pi$
$548$	−31.2026	−	55.9905i	−0.0569391	−	0.102172i
$549$	−359.546	+	121.139i	−0.654911	+	0.220654i
$550$	−189.580	+	322.680i	−0.344690	+	0.586691i
$551$	−628.521	+	1088.63i	−1.14069	+	1.97574i
$552$	21.5671	−	12.7067i	0.0390709	−	0.0230194i
$553$	718.917	−	415.067i	1.30003	−	0.750574i
$554$	−60.8481	−	0.461849i	−0.109834	−	0.000833662i
$555$	−350.792	−	82.2135i	−0.632057	−	0.148132i
$556$	717.108	+	739.216i	1.28976	+	1.32953i
$557$	526.741	−	526.741i	0.945674	−	0.945674i	−0.0529243	−	0.998599i	$-0.516854\pi$
$557$	526.741	−	526.741i	0.945674	−	0.945674i	0.998599	+	0.0529243i	$0.0168542\pi$
$558$	−91.9163	−	279.813i	−0.164725	−	0.501457i
$559$			494.577i			0.884754i
$560$	164.756	−	547.787i	0.294207	−	0.978192i
$561$	−323.879	+	604.282i	−0.577324	+	1.07715i
$562$	223.939	+	227.365i	0.398468	+	0.404564i
$563$	24.3826	−	90.9973i	0.0433084	−	0.161629i	−0.940885	−	0.338726i	$-0.890004\pi$
$563$	24.3826	−	90.9973i	0.0433084	−	0.161629i	0.984193	+	0.177097i	$0.0566706\pi$
$564$	99.9808	−	399.224i	0.177271	−	0.707844i
$565$	−512.717	+	137.382i	−0.907463	+	0.243154i
$566$	803.641	+	472.151i	1.41986	+	0.834190i
$567$	311.185	−	741.715i	0.548826	−	1.30814i
$568$	−117.356	−	122.826i	−0.206613	−	0.216243i
$569$	−258.669	−	149.343i	−0.454603	−	0.262465i	0.255169	−	0.966896i	$-0.417869\pi$
$569$	−258.669	−	149.343i	−0.454603	−	0.262465i	−0.709772	+	0.704431i	$0.751202\pi$
$570$	423.062	+	230.900i	0.742215	+	0.405088i
$571$	−294.821	−	78.9970i	−0.516324	−	0.138349i	−0.00875827	−	0.999962i	$-0.502788\pi$
$571$	−294.821	−	78.9970i	−0.516324	−	0.138349i	−0.507566	+	0.861613i	$0.669455\pi$
$572$	−288.934	+	483.353i	−0.505130	+	0.845023i
$573$	−43.1803	−	142.931i	−0.0753583	−	0.249443i
$574$	170.071	−	615.974i	0.296291	−	1.07313i
$575$			12.5555i			0.0218357i
$576$	−575.910	+	10.1587i	−0.999844	+	0.0176367i
$577$	669.163			1.15973			0.579864	−	0.814713i	$-0.303106\pi$
$577$	669.163			1.15973			0.579864	+	0.814713i	$0.303106\pi$
$578$	140.456	+	38.7800i	0.243003	+	0.0670933i
$579$	210.832	−	899.585i	0.364131	−	1.55369i
$580$	−696.421	−	416.300i	−1.20073	−	0.717759i
$581$	82.2014	−	306.780i	0.141483	−	0.528020i
$582$	−552.621	+	13.2648i	−0.949521	+	0.0227918i
$583$	501.093	−	867.918i	0.859507	−	1.48871i
$584$	374.676	−	357.990i	0.641568	−	0.612997i
$585$	262.899	+	130.391i	0.449400	+	0.222891i
$586$	283.784	−	483.024i	0.484273	−	0.824274i
$587$	−17.5133	−	65.3604i	−0.0298352	−	0.111347i	0.949402	−	0.314062i	$-0.101690\pi$
$587$	−17.5133	−	65.3604i	−0.0298352	−	0.111347i	−0.979238	+	0.202716i	$0.935023\pi$
$588$	413.987	−	427.801i	0.704060	−	0.727553i
$589$	352.633	+	94.4878i	0.598699	+	0.160421i
$590$	393.222	−	387.298i	0.666478	−	0.656436i
$591$	−11.5364	−	365.081i	−0.0195201	−	0.617734i
$592$	−153.726	+	511.113i	−0.259672	+	0.863367i
$593$	135.825			0.229047			0.114523	−	0.993421i	$-0.463466\pi$
$593$	135.825			0.229047			0.114523	+	0.993421i	$0.463466\pi$
$594$	−642.977	−	539.620i	−1.08245	−	0.908452i
$595$	371.667	+	371.667i	0.624651	+	0.624651i
$596$	108.580	−	105.332i	0.182180	−	0.176732i
$597$	−550.869	−	517.121i	−0.922729	−	0.866200i
$598$	−0.143391	+	18.8916i	−0.000239784	+	0.0315913i
$599$	58.6158	+	101.526i	0.0978562	+	0.169492i	0.910797	−	0.412854i	$-0.135468\pi$
$599$	58.6158	+	101.526i	0.0978562	+	0.169492i	−0.812941	+	0.582346i	$0.802135\pi$
$600$	142.243	−	251.467i	0.237071	−	0.419112i
$601$	111.936	+	64.6265i	0.186250	+	0.107532i	0.590226	−	0.807238i	$-0.299039\pi$
$601$	111.936	+	64.6265i	0.186250	+	0.107532i	−0.403976	+	0.914770i	$0.632372\pi$
$602$	−935.121	−	549.398i	−1.55336	−	0.912621i
$603$	518.531	+	104.367i	0.859918	+	0.173080i
$604$	314.289	−	175.148i	0.520346	−	0.289981i
$605$	−112.411	−	419.524i	−0.185804	−	0.693428i
$606$	440.778	+	420.114i	0.727357	+	0.693257i
$607$	−251.591	+	145.256i	−0.414483	+	0.239302i	−0.692714	−	0.721212i	$-0.743585\pi$
$607$	−251.591	+	145.256i	−0.414483	+	0.239302i	0.278231	+	0.960514i	$0.410252\pi$
$608$	380.190	−	604.331i	0.625313	−	0.993965i
$609$	−884.694	−	1426.32i	−1.45270	−	2.34206i
$610$	292.601	+	80.7873i	0.479673	+	0.132438i
$611$	219.632	+	219.632i	0.359464	+	0.359464i
$612$	242.337	−	470.527i	0.395975	−	0.768836i
$613$	−322.696	−	322.696i	−0.526420	−	0.526420i	0.393083	−	0.919503i	$-0.371409\pi$
$613$	−322.696	−	322.696i	−0.526420	−	0.526420i	−0.919503	+	0.393083i	$0.871409\pi$
$614$	−535.680	−	944.306i	−0.872443	−	1.53796i
$615$	−164.170	+	306.302i	−0.266942	+	0.498052i
$616$	−592.938	−	1083.23i	−0.962562	−	1.75849i
$617$	−83.8808	+	48.4286i	−0.135949	+	0.0784905i	−0.566432	−	0.824108i	$-0.691677\pi$
$617$	−83.8808	+	48.4286i	−0.135949	+	0.0784905i	0.430483	+	0.902599i	$0.358343\pi$
$618$	64.4280	−	118.047i	0.104252	−	0.191014i
$619$	−25.4923	−	95.1384i	−0.0411830	−	0.153697i	0.942272	−	0.334847i	$-0.108685\pi$
$619$	−25.4923	−	95.1384i	−0.0411830	−	0.153697i	−0.983455	+	0.181150i	$0.942018\pi$
$620$	−64.4354	+	226.656i	−0.103928	+	0.365575i
$621$	−27.7691	−	4.68196i	−0.0447167	−	0.00753939i
$622$	268.038	+	1031.59i	0.430930	+	1.65850i
$623$	513.254	+	296.327i	0.823843	+	0.475646i
$624$	216.896	−	376.744i	0.347590	−	0.603756i
$625$	−89.5704	−	155.141i	−0.143313	−	0.248225i
$626$	−700.369	−	711.082i	−1.11880	−	1.13591i
$627$	996.022	−	300.905i	1.58855	−	0.479912i
$628$	−231.037	−	238.160i	−0.367893	−	0.379236i
$629$	−346.784	−	346.784i	−0.551326	−	0.551326i
$630$	−538.576	+	352.232i	−0.854883	+	0.559099i
$631$	−791.181			−1.25385			−0.626926	−	0.779079i	$-0.715687\pi$
$631$	−791.181			−1.25385			−0.626926	+	0.779079i	$0.715687\pi$
$632$	158.338	+	649.759i	0.250536	+	1.02810i
$633$	−184.798	+	114.624i	−0.291940	+	0.181080i
$634$	−5.61204	+	739.380i	−0.00885180	+	1.16622i
$635$	693.512	+	185.826i	1.09214	+	0.292639i
$636$	−375.783	+	676.264i	−0.590854	+	1.06331i
$637$	116.286	+	433.986i	0.182553	+	0.681297i
$638$	−1695.28	+	440.486i	−2.65718	+	0.690416i
$639$	12.0661	+	190.732i	0.0188828	+	0.298486i
$640$	386.297	+	251.288i	0.603589	+	0.392637i
$641$	459.882	−	796.540i	0.717445	−	1.24265i	−0.244564	−	0.969633i	$-0.578645\pi$
$641$	459.882	−	796.540i	0.717445	−	1.24265i	0.962009	−	0.273018i	$-0.0880219\pi$
$642$	486.647	+	117.957i	0.758017	+	0.183733i
$643$	290.086	−	1082.62i	0.451145	−	1.68369i	−0.248037	−	0.968751i	$-0.579785\pi$
$643$	290.086	−	1082.62i	0.451145	−	1.68369i	0.699182	−	0.714944i	$-0.253548\pi$
$644$	−35.5599	−	21.2567i	−0.0552173	−	0.0330073i
$645$	430.037	+	403.692i	0.666724	+	0.625879i
$646$	323.702	+	570.627i	0.501086	+	0.883323i
$647$	1035.27			1.60011			0.800055	−	0.599927i	$-0.204804\pi$
$647$	1035.27			1.60011			0.800055	+	0.599927i	$0.204804\pi$
$648$	503.128	+	408.371i	0.776432	+	0.630201i
$649$		−	1191.50i		−	1.83590i
$650$	107.587	+	189.655i	0.165518	+	0.291777i
$651$	−333.619	+	355.391i	−0.512472	+	0.545916i
$652$	299.974	+	1191.58i	0.460083	+	1.82758i
$653$	307.796	+	82.4736i	0.471357	+	0.126300i	0.486675	−	0.873583i	$-0.338210\pi$
$653$	307.796	+	82.4736i	0.471357	+	0.126300i	−0.0153185	+	0.999883i	$0.504876\pi$
$654$	−737.075	−	178.657i	−1.12703	−	0.273176i
$655$	201.020	+	116.059i	0.306900	+	0.177189i
$656$	437.818	+	270.819i	0.667406	+	0.412834i
$657$	−581.820	+	36.8071i	−0.885571	+	0.0560230i
$658$	−659.247	+	171.292i	−1.00189	+	0.260323i
$659$	−166.775	+	44.6872i	−0.253073	+	0.0678106i	−0.383125	−	0.923697i	$-0.625152\pi$
$659$	−166.775	+	44.6872i	−0.253073	+	0.0678106i	0.130052	+	0.991507i	$0.458485\pi$
$660$	184.439	+	645.759i	0.279453	+	0.978423i
$661$	20.3024	−	75.7696i	0.0307147	−	0.114629i	−0.948867	−	0.315677i	$-0.897768\pi$
$661$	20.3024	−	75.7696i	0.0307147	−	0.114629i	0.979581	+	0.201049i	$0.0644349\pi$
$662$	−0.0747318	+	9.84583i	−0.000112888	+	0.0148729i
$663$	210.550	+	339.451i	0.317572	+	0.511993i
$664$	218.617	+	132.945i	0.329242	+	0.200219i
$665$		−	797.682i		−	1.19952i
$666$	502.519	−	328.651i	0.754533	−	0.493469i
$667$	−41.5515	+	41.5515i	−0.0622961	+	0.0622961i
$668$	5.25283	−	346.008i	0.00786352	−	0.517976i
$669$	196.603	+	650.773i	0.293876	+	0.972755i
$670$	−296.952	−	301.494i	−0.443212	−	0.449992i
$671$	567.508	−	327.651i	0.845764	−	0.488302i
$672$	471.390	+	828.600i	0.701473	+	1.23304i
$673$	221.654	−	383.917i	0.329353	−	0.570456i	−0.653031	−	0.757331i	$-0.726503\pi$
$673$	221.654	−	383.917i	0.329353	−	0.570456i	0.982384	+	0.186876i	$0.0598362\pi$
$674$	−172.705	−	664.681i	−0.256238	−	0.986174i
$675$	−304.580	+	113.452i	−0.451230	+	0.168077i
$676$	−169.361	−	303.905i	−0.250535	−	0.449563i
$677$	−114.686	+	30.7301i	−0.169404	+	0.0453915i	−0.342524	−	0.939509i	$-0.611282\pi$
$677$	−114.686	+	30.7301i	−0.169404	+	0.0453915i	0.173120	+	0.984901i	$0.444615\pi$
$678$	423.790	−	776.480i	0.625059	−	1.14525i
$679$	457.436	+	792.303i	0.673691	+	1.16687i
$680$	−371.442	+	203.319i	−0.546238	+	0.298999i
$681$	−698.278	−	374.258i	−1.02537	−	0.549571i
$682$	250.996	+	442.461i	0.368030	+	0.648769i
$683$	25.4062	−	25.4062i	0.0371979	−	0.0371979i	−0.688263	−	0.725461i	$-0.741627\pi$
$683$	25.4062	−	25.4062i	0.0371979	−	0.0371979i	0.725461	+	0.688263i	$0.241627\pi$
$684$	−764.985	+	244.875i	−1.11840	+	0.358004i
$685$	40.7949	−	40.7949i	0.0595546	−	0.0595546i
$686$	−11.6692	−	3.22189i	−0.0170106	−	0.00469663i
$687$	408.226	−	253.209i	0.594215	−	0.368571i
$688$	636.305	−	598.796i	0.924862	−	0.870343i
$689$	−291.947	−	505.667i	−0.423726	−	0.733914i
$690$	16.3093	+	15.5447i	0.0236366	+	0.0225285i
$691$	−361.524	+	96.8701i	−0.523190	+	0.140188i	−0.510742	−	0.859734i	$-0.670629\pi$
$691$	−361.524	+	96.8701i	−0.523190	+	0.140188i	−0.0124481	+	0.999923i	$0.503962\pi$
$692$	−238.504	+	838.955i	−0.344659	+	1.21236i
$693$	−274.126	+	1361.94i	−0.395564	+	1.96529i
$694$	−158.970	−	93.3975i	−0.229064	−	0.134579i
$695$	−463.490	+	802.789i	−0.666892	+	1.15509i
$696$	1302.95	−	361.469i	1.87206	−	0.519353i
$697$	−409.665	+	236.520i	−0.587754	+	0.339340i
$698$	−5.81479	+	766.093i	−0.00833064	+	1.09755i
$699$	224.680	−	239.343i	0.321431	−	0.342408i
$700$	−478.102	−	7.25819i	−0.683003	−	0.0103688i
$701$	−357.630	+	357.630i	−0.510172	+	0.510172i	−0.914579	−	0.404407i	$-0.867478\pi$
$701$	−357.630	+	357.630i	−0.510172	+	0.510172i	0.404407	+	0.914579i	$0.367478\pi$
$702$	−459.579	+	167.226i	−0.654671	+	0.238214i
$703$			744.278i			1.05872i
$704$	971.683	−	213.474i	1.38023	−	0.303230i
$705$	370.243	−	11.6995i	0.525167	−	0.0165950i
$706$	−131.484	+	129.503i	−0.186237	+	0.183431i
$707$	260.833	−	973.443i	0.368930	−	1.37686i
$708$	15.0922	+	919.679i	0.0213167	+	1.29898i
$709$	−615.482	+	164.918i	−0.868099	+	0.232607i	−0.665266	−	0.746607i	$-0.731682\pi$
$709$	−615.482	+	164.918i	−0.868099	+	0.232607i	−0.202834	+	0.979213i	$0.565015\pi$
$710$	77.4545	−	131.834i	0.109091	−	0.185682i
$711$	334.297	−	674.022i	0.470179	−	0.947992i
$712$	−345.211	+	329.837i	−0.484847	+	0.463255i
$713$	14.7796	+	8.53299i	0.0207287	+	0.0119677i
$714$	−875.705	+	21.0200i	−1.22648	+	0.0294397i
$715$	−489.585	−	131.184i	−0.684735	−	0.183474i
$716$	60.2580	+	239.362i	0.0841593	+	0.334305i
$717$	623.263	+	146.071i	0.869264	+	0.203725i
$718$	−466.918	−	128.917i	−0.650304	−	0.179550i
$719$		−	343.224i		−	0.477363i	−0.971098	−	0.238682i	$-0.923285\pi$
$719$		−	343.224i		−	0.477363i	0.971098	−	0.238682i	$-0.0767152\pi$
$720$	−150.542	−	496.104i	−0.209086	−	0.689033i
$721$	−222.577			−0.308706
$722$	72.8233	−	263.756i	0.100863	−	0.365313i
$723$	−656.580	+	198.357i	−0.908133	+	0.274353i
$724$	117.644	+	467.318i	0.162492	+	0.645467i
$725$	−175.535	+	655.107i	−0.242118	+	0.903596i
$726$	635.345	+	346.761i	0.875131	+	0.477632i
$727$	454.488	−	787.196i	0.625155	−	1.08280i	−0.363356	−	0.931650i	$-0.618369\pi$
$727$	454.488	−	787.196i	0.625155	−	1.08280i	0.988511	−	0.151150i	$-0.0482976\pi$
$728$	−719.289	−	16.3811i	−0.988034	−	0.0225016i
$729$	−137.344	−	715.945i	−0.188401	−	0.982092i
$730$	402.153	+	236.271i	0.550895	+	0.323659i
$731$	207.795	+	775.503i	0.284262	+	1.06088i
$732$	−433.890	+	260.091i	−0.592746	+	0.355316i
$733$	792.954	+	212.471i	1.08179	+	0.289866i	0.755330	−	0.655344i	$-0.227476\pi$
$733$	792.954	+	212.471i	1.08179	+	0.289866i	0.326463	+	0.945210i	$0.394143\pi$
$734$	203.824	+	206.942i	0.277690	+	0.281937i
$735$	472.269	+	253.123i	0.642543	+	0.344386i
$736$	24.4788	−	22.6880i	0.0332593	−	0.0308260i
$737$	−913.557			−1.23956
$738$	−180.747	−	550.233i	−0.244915	−	0.745573i
$739$	122.274	+	122.274i	0.165459	+	0.165459i	0.784980	−	0.619521i	$-0.212673\pi$
$739$	122.274	+	122.274i	0.165459	+	0.165459i	−0.619521	+	0.784980i	$0.712673\pi$
$740$	−480.341	−	7.29218i	−0.649109	−	0.00985429i
$741$	138.326	−	590.214i	0.186674	−	0.796510i
$742$	1280.40	+	9.71845i	1.72560	+	0.0130976i
$743$	4.67398	+	8.09556i	0.00629068	+	0.0108958i	0.869154	−	0.494542i	$-0.164664\pi$
$743$	4.67398	+	8.09556i	0.00629068	+	0.0108958i	−0.862863	+	0.505438i	$0.831331\pi$
$744$	−199.340	−	338.341i	−0.267930	−	0.454760i
$745$	117.917	+	68.0796i	0.158278	+	0.0913820i
$746$	−557.446	+	948.820i	−0.747247	+	1.27188i
$747$	−91.9067	−	272.783i	−0.123034	−	0.365172i
$748$	−249.973	+	879.298i	−0.334188	+	1.17553i
$749$	−214.494	−	800.503i	−0.286374	−	1.06876i
$750$	777.568	+	188.472i	1.03676	+	0.251296i
$751$	−376.842	+	217.570i	−0.501788	+	0.289707i	−0.729451	−	0.684033i	$-0.760225\pi$
$751$	−376.842	+	217.570i	−0.501788	+	0.289707i	0.227664	+	0.973740i	$0.426891\pi$
$752$	16.6572	−	548.485i	0.0221506	−	0.729368i
$753$	1074.83	−	33.9640i	1.42740	−	0.0451050i
$754$	−271.599	+	983.696i	−0.360211	+	1.30464i
$755$	228.992	+	228.992i	0.303301	+	0.303301i
$756$	194.337	−	1054.71i	0.257060	−	1.39512i
$757$	573.360	+	573.360i	0.757410	+	0.757410i	0.975850	−	0.218440i	$-0.0700968\pi$
$757$	573.360	+	573.360i	0.757410	+	0.757410i	−0.218440	+	0.975850i	$0.570097\pi$
$758$	−314.679	+	178.510i	−0.415144	+	0.235501i
$759$	48.6149	−	1.53620i	0.0640512	−	0.00202398i
$760$	616.784	+	180.414i	0.811558	+	0.237387i
$761$	854.101	−	493.115i	1.12234	−	0.647983i	0.180343	−	0.983604i	$-0.442279\pi$
$761$	854.101	−	493.115i	1.12234	−	0.647983i	0.941997	+	0.335621i	$0.108946\pi$
$762$	−1021.57	+	622.959i	−1.34065	+	0.817532i
$763$	324.872	+	1212.44i	0.425783	+	1.58904i
$764$	−96.9120	−	173.900i	−0.126848	−	0.227618i
$765$	467.013	+	93.9981i	0.610474	+	0.122873i
$766$	−246.075	+	63.9377i	−0.321246	+	0.0834696i
$767$	−601.189	−	347.097i	−0.783819	−	0.452538i
$768$	−747.306	+	177.081i	−0.973055	+	0.230574i
$769$	444.713	+	770.266i	0.578301	+	1.00165i	0.995674	+	0.0929112i	$0.0296173\pi$
$769$	444.713	+	770.266i	0.578301	+	1.00165i	−0.417374	+	0.908735i	$0.637049\pi$
$770$	791.888	−	779.958i	1.02843	−	1.01293i
$771$	−100.940	+	430.693i	−0.130920	+	0.558616i
$772$	18.7004	−	1231.81i	0.0242233	−	1.59560i
$773$	−507.288	−	507.288i	−0.656258	−	0.656258i	0.298234	−	0.954493i	$-0.403602\pi$
$773$	−507.288	−	507.288i	−0.656258	−	0.656258i	−0.954493	+	0.298234i	$0.903602\pi$
$774$	−981.452	+	54.6130i	−1.26803	+	0.0705594i
$775$	196.969			0.254154
$776$	−716.085	+	174.501i	−0.922790	+	0.224873i
$777$	−875.888	−	469.452i	−1.12727	−	0.604185i
$778$	−1480.32	−	11.2359i	−1.90272	−	0.0144420i
$779$	693.430	+	185.804i	0.890153	+	0.238516i
$780$	379.556	+	95.0552i	0.486610	+	0.121866i
$781$	−85.4331	−	318.841i	−0.109389	−	0.408247i
$782$	7.71241	+	29.6825i	0.00986242	+	0.0379571i
$783$	−1383.44	−	632.521i	−1.76685	−	0.807817i
$784$	417.560	−	675.046i	0.532602	−	0.861028i
$785$	149.327	−	258.642i	0.190225	−	0.329480i
$786$	−371.140	+	109.057i	−0.472189	+	0.138749i
$787$	3.87161	−	14.4491i	0.00491946	−	0.0183597i	−0.963422	−	0.267987i	$-0.913642\pi$
$787$	3.87161	−	14.4491i	0.00491946	−	0.0183597i	0.968342	+	0.249628i	$0.0803082\pi$
$788$	−118.894	−	472.282i	−0.150881	−	0.599343i
$789$	−180.937	+	54.6622i	−0.229324	+	0.0692804i
$790$	−523.569	+	297.007i	−0.662745	+	0.375958i
$791$	−1464.05			−1.85088
$792$	−991.083	−	519.995i	−1.25137	−	0.656559i
$793$		−	381.792i		−	0.481453i
$794$	464.750	−	263.641i	0.585328	−	0.332041i
$795$	−677.977	−	158.894i	−0.852801	−	0.199867i
$796$	−864.700	−	516.892i	−1.08631	−	0.649362i
$797$	875.860	+	234.686i	1.09895	+	0.294462i	0.762335	−	0.647182i	$-0.224053\pi$
$797$	875.860	+	234.686i	1.09895	+	0.294462i	0.336611	+	0.941644i	$0.390719\pi$
$798$	962.288	+	917.174i	1.20587	+	1.14934i
$799$	436.664	+	252.108i	0.546513	+	0.315530i
$800$	113.746	−	368.037i	0.142183	−	0.460046i
$801$	536.065	−	33.9126i	0.669245	−	0.0423378i
$802$	86.6271	+	333.398i	0.108014	+	0.415709i
$803$	972.608	−	260.610i	1.21122	−	0.324545i
$804$	705.144	−	11.5716i	0.877045	−	0.0143926i
$805$	9.65111	−	36.0184i	0.0119890	−	0.0447434i
$806$	296.368	+	2.24949i	0.367702	+	0.00279093i
$807$	−407.381	+	12.8730i	−0.504809	+	0.0159517i
$808$	693.693	+	421.849i	0.858531	+	0.522090i
$809$			133.840i			0.165439i	0.996573	+	0.0827194i	$0.0263605\pi$
$809$			133.840i			0.165439i	−0.996573	+	0.0827194i	$0.973639\pi$
$810$	−229.721	+	536.102i	−0.283606	+	0.661854i
$811$	−265.624	+	265.624i	−0.327527	+	0.327527i	−0.851645	−	0.524118i	$-0.824395\pi$
$811$	−265.624	+	265.624i	−0.327527	+	0.327527i	0.524118	+	0.851645i	$0.324395\pi$
$812$	−1558.22	−	1606.26i	−1.91899	−	1.97815i
$813$	−78.5519	+	83.6783i	−0.0966198	+	0.102925i
$814$	−738.872	+	727.740i	−0.907705	+	0.894029i
$815$	−957.803	+	552.988i	−1.17522	+	0.678513i
$816$	181.808	−	681.867i	0.222804	−	0.835621i
$817$	609.215	−	1055.19i	0.745673	−	1.29154i
$818$	1033.49	−	268.531i	1.26343	−	0.328277i
$819$	607.333	+	535.062i	0.741554	+	0.653312i
$820$	−126.708	+	445.704i	−0.154522	+	0.543542i
$821$	−660.322	+	176.933i	−0.804290	+	0.215509i	−0.637467	−	0.770478i	$-0.720018\pi$
$821$	−660.322	+	176.933i	−0.804290	+	0.215509i	−0.166823	+	0.985987i	$0.553351\pi$
$822$	2.30719	+	96.1191i	0.00280681	+	0.116933i
$823$	776.680	+	1345.25i	0.943718	+	1.63457i	0.758298	+	0.651908i	$0.226031\pi$
$823$	776.680	+	1345.25i	0.943718	+	1.63457i	0.185420	+	0.982659i	$0.440636\pi$
$824$	50.3409	−	172.101i	0.0610934	−	0.208860i
$825$	477.057	−	295.902i	0.578251	−	0.358669i
$826$	1324.10	−	751.127i	1.60302	−	0.909355i
$827$	711.159	−	711.159i	0.859926	−	0.859926i	−0.131403	−	0.991329i	$-0.541948\pi$
$827$	711.159	−	711.159i	0.859926	−	0.859926i	0.991329	+	0.131403i	$0.0419481\pi$
$828$	−37.5047	+	1.80153i	−0.0452956	+	0.00217576i
$829$	−634.724	+	634.724i	−0.765650	+	0.765650i	−0.977337	−	0.211687i	$-0.932104\pi$
$829$	−634.724	+	634.724i	−0.765650	+	0.765650i	0.211687	+	0.977337i	$0.432104\pi$
$830$	−61.2923	+	221.992i	−0.0738461	+	0.267461i
$831$	80.4483	+	43.1181i	0.0968090	+	0.0518870i
$832$	175.350	−	552.464i	0.210758	−	0.664019i
$833$	364.676	+	631.638i	0.437786	+	0.758268i
$834$	−435.527	−	1482.18i	−0.522215	−	1.77719i
$835$	300.855	−	80.6138i	0.360305	−	0.0965435i
$836$	1211.84	−	675.338i	1.44956	−	0.807820i
$837$	−73.4498	+	435.636i	−0.0877536	+	0.520473i
$838$	449.328	−	764.794i	0.536191	−	0.912642i
$839$	193.200	−	334.633i	0.230275	−	0.398847i	−0.727614	−	0.685986i	$-0.759371\pi$
$839$	193.200	−	334.633i	0.230275	−	0.398847i	0.957889	+	0.287139i	$0.0927042\pi$
$840$	−601.353	+	612.054i	−0.715896	+	0.728635i
$841$	−2020.61	+	1166.60i	−2.40263	+	1.38716i
$842$	−227.584	−	1.72741i	−0.270290	−	0.00205156i
$843$	−138.437	−	458.239i	−0.164220	−	0.543581i
$844$	−208.112	+	201.888i	−0.246578	+	0.239203i
$845$	221.426	−	221.426i	0.262043	−	0.262043i
$846$	−411.591	+	460.096i	−0.486515	+	0.543849i
$847$		−	1197.94i		−	1.41433i
$848$	−297.106	+	987.831i	−0.350361	+	1.16489i
$849$	−736.950	−	1188.12i	−0.868021	−	1.39943i
$850$	248.380	+	252.179i	0.292212	+	0.296682i
$851$	−9.00497	+	33.6070i	−0.0105816	+	0.0394912i
$852$	69.9815	+	245.020i	0.0821380	+	0.287582i
$853$	1501.55	−	402.339i	1.76032	−	0.471676i	0.773539	−	0.633749i	$-0.218485\pi$
$853$	1501.55	−	402.339i	1.76032	−	0.471676i	0.986779	+	0.162073i	$0.0518180\pi$
$854$	721.873	+	424.111i	0.845285	+	0.496618i
$855$	−400.287	−	602.028i	−0.468172	−	0.704127i
$856$	667.478	+	15.2012i	0.779764	+	0.0177584i
$857$	1314.46	+	758.906i	1.53380	+	0.885538i	0.999182	+	0.0404424i	$0.0128767\pi$
$857$	1314.46	+	758.906i	1.53380	+	0.885538i	0.534615	+	0.845096i	$0.320457\pi$
$858$	721.179	−	439.778i	0.840535	−	0.512562i
$859$	1410.48	+	377.936i	1.64200	+	0.439972i	0.957356	−	0.288909i	$-0.0932926\pi$
$859$	1410.48	+	377.936i	1.64200	+	0.439972i	0.684640	+	0.728881i	$0.259959\pi$
$860$	675.029	+	403.513i	0.784917	+	0.469201i
$861$	−656.039	+	698.853i	−0.761950	+	0.811676i
$862$	−198.677	+	719.583i	−0.230484	+	0.834783i
$863$		−	86.1548i		−	0.0998317i	−0.998753	−	0.0499159i	$-0.984105\pi$
$863$		−	86.1548i		−	0.0998317i	0.998753	−	0.0499159i	$-0.0158953\pi$
$864$	771.570	+	388.813i	0.893021	+	0.450015i
$865$	−785.042			−0.907563
$866$	−278.256	−	76.8269i	−0.321312	−	0.0887146i
$867$	−159.354	−	149.591i	−0.183799	−	0.172539i
$868$	−333.471	+	557.858i	−0.384183	+	0.642693i
$869$	−336.330	+	1255.20i	−0.387031	+	1.44442i
$870$	633.639	+	1039.08i	0.728320	+	1.19435i
$871$	−266.129	+	460.949i	−0.305544	+	0.529218i
$872$	−1010.96	−	23.0237i	−1.15936	−	0.0264033i
$873$	742.825	+	368.421i	0.850888	+	0.422017i
$874$	23.5764	−	40.1290i	0.0269752	−	0.0459141i
$875$	−342.720	−	1279.05i	−0.391680	−	1.46177i
$876$	−747.423	+	213.475i	−0.853222	+	0.243693i
$877$	−404.099	−	108.278i	−0.460774	−	0.123464i	0.0209622	−	0.999780i	$-0.493327\pi$
$877$	−404.099	−	108.278i	−0.460774	−	0.123464i	−0.481736	+	0.876316i	$0.659994\pi$
$878$	−18.6636	+	18.3824i	−0.0212569	+	0.0209366i
$879$	−714.113	+	442.940i	−0.812416	+	0.503914i
$880$	423.975	+	788.710i	0.481790	+	0.896261i
$881$	−990.587			−1.12439			−0.562195	−	0.827005i	$-0.690043\pi$
$881$	−990.587			−1.12439			−0.562195	+	0.827005i	$0.690043\pi$
$882$	−848.372	+	278.683i	−0.961872	+	0.315968i
$883$	−1097.83	−	1097.83i	−1.24330	−	1.24330i	−0.958623	−	0.284677i	$-0.908114\pi$
$883$	−1097.83	−	1097.83i	−1.24330	−	1.24330i	−0.284677	−	0.958623i	$-0.591886\pi$
$884$	370.843	+	382.276i	0.419506	+	0.432439i
$885$	−792.513	+	239.424i	−0.895495	+	0.270535i
$886$	9.19563	−	1211.52i	0.0103788	−	1.36740i
$887$	−616.122	−	1067.15i	−0.694613	−	1.20310i	−0.970311	−	0.241861i	$-0.922242\pi$
$887$	−616.122	−	1067.15i	−0.694613	−	1.20310i	0.275698	−	0.961244i	$-0.411091\pi$
$888$	561.092	−	571.077i	0.631861	−	0.643105i
$889$	1714.99	+	990.153i	1.92913	+	1.11378i
$890$	−370.528	−	217.691i	−0.416323	−	0.244596i
$891$	476.552	+	1165.45i	0.534850	+	1.30802i
$892$	441.247	+	791.780i	0.494671	+	0.887646i
$893$	−198.050	−	739.131i	−0.221780	−	0.827694i
$894$	−217.709	+	63.9723i	−0.243523	+	0.0715574i
$895$	−192.401	+	111.083i	−0.214973	+	0.124115i
$896$	849.784	+	945.244i	0.948419	+	1.05496i
$897$	13.3869	−	24.9769i	0.0149241	−	0.0278449i
$898$	−495.225	−	136.732i	−0.551476	−	0.152263i
$899$	651.852	+	651.852i	0.725086	+	0.725086i
$900$	−364.476	+	234.440i	−0.404974	+	0.260489i
$901$	−670.231	−	670.231i	−0.743875	−	0.743875i
$902$	493.567	+	870.068i	0.547192	+	0.964599i
$903$	857.519	+	1382.50i	0.949633	+	1.53101i
$904$	331.129	−	1132.03i	0.366293	−	1.25225i
$905$	−375.633	+	216.872i	−0.415064	+	0.239637i
$906$	−539.542	+	12.9509i	−0.595520	+	0.0142946i
$907$	−218.931	−	817.062i	−0.241379	−	0.900840i	−0.975169	−	0.221463i	$-0.928917\pi$
$907$	−218.931	−	817.062i	−0.241379	−	0.900840i	0.733790	−	0.679377i	$-0.237750\pi$
$908$	−1016.07	−	288.856i	−1.11902	−	0.318124i
$909$	−291.629	−	865.569i	−0.320824	−	0.952221i
$910$	−162.854	−	626.769i	−0.178960	−	0.688757i
$911$	−1239.75	−	715.773i	−1.36087	−	0.785700i	−0.371132	−	0.928580i	$-0.621030\pi$
$911$	−1239.75	−	715.773i	−1.36087	−	0.785700i	−0.989740	+	0.142880i	$0.954364\pi$
$912$	−926.822	+	536.620i	−1.01625	+	0.588399i
$913$	248.584	+	430.561i	0.272272	+	0.471589i
$914$	44.2810	+	44.9583i	0.0484475	+	0.0491885i
$915$	−331.970	−	311.633i	−0.362809	−	0.340582i
$916$	459.727	−	445.978i	0.501886	−	0.486875i
$917$	452.705	+	452.705i	0.493680	+	0.493680i
$918$	−650.366	+	455.304i	−0.708459	+	0.495974i
$919$	−822.839			−0.895364			−0.447682	−	0.894193i	$-0.647750\pi$
$919$	−822.839			−0.895364			−0.447682	+	0.894193i	$0.647750\pi$
$920$	25.6674	+	15.6089i	0.0278993	+	0.0169661i
$921$	51.4339	+	1627.68i	0.0558457	+	1.76730i
$922$	10.9288	−	1439.86i	0.0118534	−	1.56167i
$923$	−185.763	−	49.7751i	−0.201260	−	0.0539275i
$924$	30.3934	+	1852.09i	0.0328933	+	2.00443i
$925$	103.932	+	387.880i	0.112359	+	0.419329i
$926$	356.743	−	92.6928i	0.385252	−	0.100100i
$927$	−167.984	+	111.692i	−0.181212	+	0.120487i
$928$	1594.42	−	841.553i	1.71812	−	0.906846i
$929$	67.3878	−	116.719i	0.0725380	−	0.125639i	−0.827475	−	0.561503i	$-0.810223\pi$
$929$	67.3878	−	116.719i	0.0725380	−	0.125639i	0.900013	+	0.435863i	$0.143557\pi$
$930$	243.862	−	255.857i	0.262217	−	0.275115i
$931$	286.480	−	1069.16i	0.307712	−	1.14840i
$932$	224.580	−	375.696i	0.240966	−	0.403108i
$933$	364.810	−	1556.59i	0.391008	−	1.66837i
$934$	−64.8491	−	114.317i	−0.0694316	−	0.122395i
$935$	−822.792			−0.879992
$936$	−551.084	+	348.585i	−0.588765	+	0.372420i
$937$		−	846.122i		−	0.903011i	−0.892268	−	0.451506i	$-0.850887\pi$
$937$		−	846.122i		−	0.903011i	0.892268	−	0.451506i	$-0.149113\pi$
$938$	−575.910	−	1015.22i	−0.613977	−	1.08233i
$939$	432.961	+	1433.14i	0.461088	+	1.52624i
$940$	478.960	−	120.575i	0.509532	−	0.128271i
$941$	380.852	+	102.049i	0.404731	+	0.108447i	0.455441	−	0.890266i	$-0.349482\pi$
$941$	380.852	+	102.049i	0.404731	+	0.108447i	−0.0507097	+	0.998713i	$0.516148\pi$
$942$	140.318	+	477.527i	0.148957	+	0.506929i
$943$	29.0630	+	16.7795i	0.0308197	+	0.0177938i
$944$	281.311	+	1193.71i	0.297999	+	1.26452i
$945$	960.965	−	91.3412i	1.01689	−	0.0966573i
$946$	1643.21	−	426.955i	1.73700	−	0.451327i
$947$	−27.0623	+	7.25132i	−0.0285769	+	0.00765715i	−0.273079	−	0.961992i	$-0.588042\pi$
$947$	−27.0623	+	7.25132i	−0.0285769	+	0.00765715i	0.244502	+	0.969649i	$0.421375\pi$
$948$	243.703	−	973.108i	0.257071	−	1.02648i
$949$	151.837	−	566.662i	0.159996	−	0.597115i
$950$	4.07713	−	537.157i	0.00429171	−	0.565429i
$951$	523.938	−	977.547i	0.550934	−	1.02791i
$952$	−1134.74	+	276.522i	−1.19195	+	0.290464i
$953$			1551.91i			1.62845i	0.580549	+	0.814225i	$0.302838\pi$
$953$			1551.91i			1.62845i	−0.580549	+	0.814225i	$0.697162\pi$
$954$	971.220	−	635.184i	1.01805	−	0.665812i
$955$	126.705	−	126.705i	0.132675	−	0.132675i
$956$	853.436	+	12.9562i	0.892715	+	0.0135525i
$957$	2558.04	+	599.517i	2.67298	+	0.626454i
$958$	−693.248	−	703.852i	−0.723641	−	0.734710i
$959$	137.808	−	79.5633i	0.143699	−	0.0829649i
$960$	−337.243	−	603.409i	−0.351294	−	0.628551i
$961$	−346.636	+	600.391i	−0.360703	+	0.624757i
$962$	151.951	+	584.807i	0.157953	+	0.607907i
$963$	−563.586	−	496.521i	−0.585240	−	0.515599i
$964$	−798.846	+	445.184i	−0.828678	+	0.461809i
$965$	1071.06	−	286.990i	1.10991	−	0.297398i
$966$	32.3542	+	53.0566i	0.0334929	+	0.0549241i
$967$	152.536	+	264.200i	0.157741	+	0.273216i	0.934054	−	0.357132i	$-0.116245\pi$
$967$	152.536	+	264.200i	0.157741	+	0.273216i	−0.776313	+	0.630348i	$0.782912\pi$
$968$	926.272	+	270.942i	0.956893	+	0.279899i
$969$	−31.0806	−	983.580i	−0.0320749	−	1.01505i
$970$	−327.325	−	577.013i	−0.337448	−	0.594859i
$971$	−358.944	+	358.944i	−0.369664	+	0.369664i	−0.867355	−	0.497691i	$-0.834181\pi$
$971$	−358.944	+	358.944i	−0.369664	+	0.369664i	0.497691	+	0.867355i	$0.334181\pi$
$972$	−382.597	−	893.534i	−0.393618	−	0.919274i
$973$	−1807.91	+	1807.91i	−1.85808	+	1.85808i
$974$	1364.16	+	376.646i	1.40058	+	0.386700i
$975$	−10.3300	−	326.906i	−0.0105949	−	0.335288i
$976$	−491.200	+	462.245i	−0.503279	+	0.473611i
$977$	−803.753	−	1392.14i	−0.822674	−	1.42491i	−0.903684	−	0.428201i	$-0.859148\pi$
$977$	−803.753	−	1392.14i	−0.822674	−	1.42491i	0.0810093	−	0.996713i	$-0.474186\pi$
$978$	434.182	−	1791.28i	0.443948	−	1.83157i
$979$	−896.121	+	240.115i	−0.915343	+	0.245266i
$980$	687.205	+	195.363i	0.701229	+	0.199350i
$981$	853.606	+	752.031i	0.870139	+	0.766596i
$982$	−91.4426	−	53.7239i	−0.0931187	−	0.0547086i
$983$	176.929	−	306.450i	0.179989	−	0.311749i	−0.761888	−	0.647709i	$-0.775727\pi$
$983$	176.929	−	306.450i	0.179989	−	0.311749i	0.941876	+	0.335960i	$0.109061\pi$
$984$	−391.989	−	665.325i	−0.398363	−	0.676143i
$985$	379.623	−	219.176i	0.385404	−	0.222513i
$986$	−12.5736	+	1656.56i	−0.0127521	+	1.68008i
$987$	994.751	+	233.135i	1.00785	+	0.236206i
$988$	12.2692	−	808.182i	0.0124182	−	0.817998i
$989$	40.2751	−	40.2751i	0.0407231	−	0.0407231i
$990$	206.263	−	986.031i	0.208346	−	0.995991i
$991$			725.313i			0.731900i	0.930634	+	0.365950i	$0.119256\pi$
$991$			725.313i			0.731900i	−0.930634	+	0.365950i	$0.880744\pi$
$992$	−355.925	−	384.019i	−0.358795	−	0.387116i
$993$	6.97693	−	13.0173i	0.00702612	−	0.0131091i
$994$	300.466	−	295.939i	0.302280	−	0.297725i
$995$	234.683	−	875.849i	0.235862	−	0.880250i
$996$	−197.328	−	329.187i	−0.198120	−	0.330509i
$997$	−416.230	+	111.528i	−0.417482	+	0.111864i	−0.461444	−	0.887169i	$-0.652669\pi$
$997$	−416.230	+	111.528i	−0.417482	+	0.111864i	0.0439621	+	0.999033i	$0.486002\pi$
$998$	730.825	−	1243.93i	0.732290	−	1.24642i
$999$	−896.629	+	85.2259i	−0.897526	+	0.0853112i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	144.3.v.a.43.5	✓	184
3.2	odd	2		432.3.w.a.235.42		184
9.4	even	3	inner	144.3.v.a.139.35	yes	184
9.5	odd	6		432.3.w.a.91.12		184
16.3	odd	4	inner	144.3.v.a.115.35	yes	184
48.35	even	4		432.3.w.a.19.12		184
144.67	odd	12	inner	144.3.v.a.67.5	yes	184
144.131	even	12		432.3.w.a.307.42		184

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
144.3.v.a.43.5	✓	184	1.1	even	1	trivial
144.3.v.a.67.5	yes	184	144.67	odd	12	inner
144.3.v.a.115.35	yes	184	16.3	odd	4	inner
144.3.v.a.139.35	yes	184	9.4	even	3	inner
432.3.w.a.19.12		184	48.35	even	4
432.3.w.a.91.12		184	9.5	odd	6
432.3.w.a.235.42		184	3.2	odd	2
432.3.w.a.307.42		184	144.131	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.v (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.92787 - 0.532286i) q^{2} +(2.18726 + 2.05326i) q^{3} +(3.43334 + 2.05235i) q^{4} +(-0.931824 + 3.47761i) q^{5} +(-3.12383 - 5.12267i) q^{6} +(-4.96512 + 8.59983i) q^{7} +(-5.52659 - 5.78418i) q^{8} +(0.568222 + 8.98204i) q^{9} +O(q^{10})\)	\(q+(-1.92787 - 0.532286i) q^{2} +(2.18726 + 2.05326i) q^{3} +(3.43334 + 2.05235i) q^{4} +(-0.931824 + 3.47761i) q^{5} +(-3.12383 - 5.12267i) q^{6} +(-4.96512 + 8.59983i) q^{7} +(-5.52659 - 5.78418i) q^{8} +(0.568222 + 8.98204i) q^{9} +(3.64752 - 6.20838i) q^{10} +(-4.02325 - 15.0150i) q^{11} +(3.29560 + 11.5386i) q^{12} +(-8.74803 - 2.34403i) q^{13} +(14.1497 - 13.9365i) q^{14} +(-9.17860 + 5.69317i) q^{15} +(7.57569 + 14.0929i) q^{16} -14.7019 q^{17} +(3.68556 - 17.6186i) q^{18} +(15.7768 + 15.7768i) q^{19} +(-10.3366 + 10.0274i) q^{20} +(-28.5177 + 8.61539i) q^{21} +(-0.235967 + 31.0884i) q^{22} +(0.521500 + 0.903264i) q^{23} +(-0.211648 - 23.9991i) q^{24} +(10.4251 + 6.01896i) q^{25} +(15.6173 + 9.17543i) q^{26} +(-17.1996 + 20.8128i) q^{27} +(-34.6968 + 19.3360i) q^{28} +(14.5819 + 54.4203i) q^{29} +(20.7255 - 6.09004i) q^{30} +(14.1702 - 8.18120i) q^{31} +(-7.10350 - 31.2016i) q^{32} +(22.0298 - 41.1024i) q^{33} +(28.3432 + 7.82559i) q^{34} +(-25.2803 - 25.2803i) q^{35} +(-16.4834 + 32.0046i) q^{36} +(23.5878 + 23.5878i) q^{37} +(-22.0178 - 38.8132i) q^{38} +(-14.3213 - 23.0890i) q^{39} +(25.2650 - 13.8295i) q^{40} +(27.8648 - 16.0878i) q^{41} +(59.5642 - 1.42975i) q^{42} +(-14.1340 - 52.7487i) q^{43} +(17.0028 - 59.8087i) q^{44} +(-31.7656 - 6.39362i) q^{45} +(-0.524588 - 2.01896i) q^{46} +(-29.7013 - 17.1481i) q^{47} +(-12.3663 + 46.3797i) q^{48} +(-24.8048 - 42.9631i) q^{49} +(-16.8945 - 17.1529i) q^{50} +(-32.1568 - 30.1868i) q^{51} +(-25.2242 - 26.0019i) q^{52} +(45.5882 + 45.5882i) q^{53} +(44.2370 - 30.9692i) q^{54} +55.9652 q^{55} +(77.1832 - 18.8086i) q^{56} +(2.11406 + 66.9017i) q^{57} +(0.855239 - 112.677i) q^{58} +(74.0385 + 19.8386i) q^{59} +(-43.1977 + 0.708887i) q^{60} +(10.9108 + 40.7197i) q^{61} +(-31.6731 + 8.22964i) q^{62} +(-80.0654 - 39.7103i) q^{63} +(-2.91357 + 63.9336i) q^{64} +(16.3032 - 28.2380i) q^{65} +(-64.3487 + 67.5139i) q^{66} +(15.2108 - 56.7674i) q^{67} +(-50.4765 - 30.1734i) q^{68} +(-0.713983 + 3.04645i) q^{69} +(35.2807 + 62.1934i) q^{70} +21.2349 q^{71} +(48.8135 - 52.9268i) q^{72} +64.7759i q^{73} +(-32.9187 - 58.0295i) q^{74} +(10.4440 + 34.5706i) q^{75} +(21.7876 + 86.5465i) q^{76} +(149.102 + 39.9518i) q^{77} +(15.3197 + 52.1356i) q^{78} +(-72.3968 - 41.7983i) q^{79} +(-56.0687 + 13.2133i) q^{80} +(-80.3542 + 10.2076i) q^{81} +(-62.2830 + 16.1830i) q^{82} +(-30.8935 + 8.27789i) q^{83} +(-115.593 - 28.9488i) q^{84} +(13.6995 - 51.1274i) q^{85} +(-0.828968 + 109.216i) q^{86} +(-79.8448 + 148.972i) q^{87} +(-64.6145 + 106.253i) q^{88} -59.6819i q^{89} +(57.8365 + 29.2344i) q^{90} +(63.5933 - 63.5933i) q^{91} +(-0.0633289 + 4.17152i) q^{92} +(47.7922 + 11.2008i) q^{93} +(48.1325 + 48.8687i) q^{94} +(-69.5666 + 40.1643i) q^{95} +(48.5279 - 82.8314i) q^{96} +(46.0650 - 79.7869i) q^{97} +(24.9516 + 96.0304i) q^{98} +(132.579 - 44.6688i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 184 q - 2 q^{2} - 4 q^{3} - 2 q^{4} - 2 q^{5} + 2 q^{6} - 4 q^{7} - 8 q^{8}+O(q^{10}) \) 184 * q - 2 * q^2 - 4 * q^3 - 2 * q^4 - 2 * q^5 + 2 * q^6 - 4 * q^7 - 8 * q^8	\( 184 q - 2 q^{2} - 4 q^{3} - 2 q^{4} - 2 q^{5} + 2 q^{6} - 4 q^{7} - 8 q^{8} - 8 q^{10} - 2 q^{11} + 56 q^{12} - 2 q^{13} + 14 q^{14} - 2 q^{16} - 16 q^{17} + 38 q^{18} - 8 q^{19} - 44 q^{20} + 14 q^{21} - 2 q^{22} - 4 q^{23} + 120 q^{24} - 104 q^{26} - 52 q^{27} + 56 q^{28} - 2 q^{29} - 130 q^{30} - 182 q^{32} - 8 q^{33} - 10 q^{34} + 92 q^{35} - 2 q^{36} - 8 q^{37} - 254 q^{38} + 184 q^{39} - 2 q^{40} - 252 q^{42} - 2 q^{43} - 140 q^{44} - 54 q^{45} + 176 q^{46} + 162 q^{48} - 480 q^{49} - 96 q^{50} - 120 q^{51} - 2 q^{52} - 8 q^{53} + 94 q^{54} - 16 q^{55} + 260 q^{56} + 88 q^{58} + 142 q^{59} - 434 q^{60} - 2 q^{61} - 636 q^{62} + 244 q^{64} - 4 q^{65} - 100 q^{66} - 2 q^{67} - 112 q^{68} + 14 q^{69} - 100 q^{70} - 16 q^{71} + 98 q^{72} + 82 q^{74} - 296 q^{75} + 154 q^{76} + 194 q^{77} + 228 q^{78} + 592 q^{80} - 8 q^{81} - 420 q^{82} + 238 q^{83} - 22 q^{84} - 52 q^{85} - 170 q^{86} - 456 q^{87} - 26 q^{88} + 808 q^{90} + 188 q^{91} + 176 q^{92} + 26 q^{93} - 18 q^{94} - 202 q^{96} - 4 q^{97} + 408 q^{98} - 38 q^{99}+O(q^{100}) \) 184 * q - 2 * q^2 - 4 * q^3 - 2 * q^4 - 2 * q^5 + 2 * q^6 - 4 * q^7 - 8 * q^8 - 8 * q^10 - 2 * q^11 + 56 * q^12 - 2 * q^13 + 14 * q^14 - 2 * q^16 - 16 * q^17 + 38 * q^18 - 8 * q^19 - 44 * q^20 + 14 * q^21 - 2 * q^22 - 4 * q^23 + 120 * q^24 - 104 * q^26 - 52 * q^27 + 56 * q^28 - 2 * q^29 - 130 * q^30 - 182 * q^32 - 8 * q^33 - 10 * q^34 + 92 * q^35 - 2 * q^36 - 8 * q^37 - 254 * q^38 + 184 * q^39 - 2 * q^40 - 252 * q^42 - 2 * q^43 - 140 * q^44 - 54 * q^45 + 176 * q^46 + 162 * q^48 - 480 * q^49 - 96 * q^50 - 120 * q^51 - 2 * q^52 - 8 * q^53 + 94 * q^54 - 16 * q^55 + 260 * q^56 + 88 * q^58 + 142 * q^59 - 434 * q^60 - 2 * q^61 - 636 * q^62 + 244 * q^64 - 4 * q^65 - 100 * q^66 - 2 * q^67 - 112 * q^68 + 14 * q^69 - 100 * q^70 - 16 * q^71 + 98 * q^72 + 82 * q^74 - 296 * q^75 + 154 * q^76 + 194 * q^77 + 228 * q^78 + 592 * q^80 - 8 * q^81 - 420 * q^82 + 238 * q^83 - 22 * q^84 - 52 * q^85 - 170 * q^86 - 456 * q^87 - 26 * q^88 + 808 * q^90 + 188 * q^91 + 176 * q^92 + 26 * q^93 - 18 * q^94 - 202 * q^96 - 4 * q^97 + 408 * q^98 - 38 * q^99

Introduction

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