LMFDB - Embedded newform 144.3.w.a.29.9

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			29.9
Character	$\chi$	$=$	144.29
Dual form			144.3.w.a.5.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.61016 + 1.18633i) q^{2} +(-2.90827 - 0.736170i) q^{3} +(1.18523 - 3.82037i) q^{4} +(-0.295811 + 1.10398i) q^{5} +(5.55613 - 2.26483i) q^{6} +(-7.30360 - 4.21674i) q^{7} +(2.62382 + 7.55748i) q^{8} +(7.91611 + 4.28197i) q^{9} +O(q^{10})$	\(q+(-1.61016 + 1.18633i) q^{2} +(-2.90827 - 0.736170i) q^{3} +(1.18523 - 3.82037i) q^{4} +(-0.295811 + 1.10398i) q^{5} +(5.55613 - 2.26483i) q^{6} +(-7.30360 - 4.21674i) q^{7} +(2.62382 + 7.55748i) q^{8} +(7.91611 + 4.28197i) q^{9} +(-0.833388 - 2.12852i) q^{10} +(16.9180 - 4.53318i) q^{11} +(-6.25941 + 10.2382i) q^{12} +(-3.32968 + 12.4265i) q^{13} +(16.7624 - 1.87488i) q^{14} +(1.67302 - 2.99292i) q^{15} +(-13.1905 - 9.05604i) q^{16} +24.5673i q^{17} +(-17.8260 + 2.49649i) q^{18} +(5.17188 + 5.17188i) q^{19} +(3.86702 + 2.43858i) q^{20} +(18.1366 + 17.6401i) q^{21} +(-21.8629 + 27.3696i) q^{22} +(13.7010 + 23.7307i) q^{23} +(-2.06719 - 23.9108i) q^{24} +(20.5194 + 11.8469i) q^{25} +(-9.38067 - 23.9588i) q^{26} +(-19.8700 - 18.2807i) q^{27} +(-24.7659 + 22.9047i) q^{28} +(-6.54235 - 24.4164i) q^{29} +(0.856766 + 6.80383i) q^{30} +(5.21707 + 9.03623i) q^{31} +(31.9822 - 1.06660i) q^{32} +(-52.5395 + 0.729161i) q^{33} +(-29.1450 - 39.5573i) q^{34} +(6.81569 - 6.81569i) q^{35} +(25.7411 - 25.1673i) q^{36} +(35.3961 - 35.3961i) q^{37} +(-14.4631 - 2.19198i) q^{38} +(18.8316 - 33.6885i) q^{39} +(-9.11949 + 0.661063i) q^{40} +(30.0752 + 52.0917i) q^{41} +(-50.1299 - 6.88732i) q^{42} +(-10.6707 - 39.8237i) q^{43} +(2.73336 - 70.0060i) q^{44} +(-7.06890 + 7.47260i) q^{45} +(-50.2133 - 21.9564i) q^{46} +(16.9574 + 9.79036i) q^{47} +(31.6947 + 36.0478i) q^{48} +(11.0617 + 19.1594i) q^{49} +(-47.0938 + 5.26745i) q^{50} +(18.0857 - 71.4485i) q^{51} +(43.5275 + 27.4489i) q^{52} +(19.0289 + 19.0289i) q^{53} +(53.6808 + 5.86253i) q^{54} +20.0182i q^{55} +(12.7046 - 66.2608i) q^{56} +(-11.2339 - 18.8486i) q^{57} +(39.5002 + 31.5529i) q^{58} +(-5.35828 + 19.9974i) q^{59} +(-9.45114 - 9.93885i) q^{60} +(-39.1049 + 10.4781i) q^{61} +(-19.1203 - 8.36060i) q^{62} +(-39.7602 - 64.6539i) q^{63} +(-50.2311 + 39.6590i) q^{64} +(-12.7337 - 7.35181i) q^{65} +(83.7319 - 63.5034i) q^{66} +(1.23845 - 4.62195i) q^{67} +(93.8563 + 29.1179i) q^{68} +(-22.3763 - 79.1017i) q^{69} +(-2.88868 + 19.0600i) q^{70} -104.125 q^{71} +(-11.5905 + 71.0610i) q^{72} +77.0276i q^{73} +(-15.0019 + 98.9850i) q^{74} +(-50.9546 - 49.5596i) q^{75} +(25.8884 - 13.6286i) q^{76} +(-142.678 - 38.2304i) q^{77} +(9.64383 + 76.5845i) q^{78} +(-22.3815 + 38.7658i) q^{79} +(13.8996 - 11.8832i) q^{80} +(44.3295 + 67.7930i) q^{81} +(-110.224 - 48.1968i) q^{82} +(29.0965 + 108.590i) q^{83} +(88.8878 - 48.3811i) q^{84} +(-27.1219 - 7.26730i) q^{85} +(64.4258 + 51.4635i) q^{86} +(1.05234 + 75.8257i) q^{87} +(78.6493 + 115.964i) q^{88} +28.0553 q^{89} +(2.51707 - 20.4181i) q^{90} +(76.7180 - 76.7180i) q^{91} +(106.899 - 24.2163i) q^{92} +(-8.52047 - 30.1205i) q^{93} +(-38.9188 + 4.35307i) q^{94} +(-7.23957 + 4.17977i) q^{95} +(-93.7982 - 20.4424i) q^{96} +(96.2108 - 166.642i) q^{97} +(-40.5406 - 17.7269i) q^{98} +(153.336 + 36.5574i) 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 $\left(\mathbb{Z}/144\mathbb{Z}\right)^\times$.

$n$	$37$	$65$	$127$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{1}{6}\right)$	$1$

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 $

$2$	−1.61016	+	1.18633i	−0.805080	+	0.593166i
$2$	−1.61016	+	1.18633i	−0.805080	+	0.593166i
$3$	−2.90827	−	0.736170i	−0.969424	−	0.245390i
$3$	−2.90827	−	0.736170i	−0.969424	−	0.245390i
$4$	1.18523	−	3.82037i	0.296308	−	0.955093i
$5$	−0.295811	+	1.10398i	−0.0591623	+	0.220797i	−0.989177	−	0.146725i	$-0.953127\pi$
$5$	−0.295811	+	1.10398i	−0.0591623	+	0.220797i	0.930015	+	0.367521i	$0.119794\pi$
$6$	5.55613	−	2.26483i	0.926021	−	0.377471i
$7$	−7.30360	−	4.21674i	−1.04337	−	0.602391i	−0.122585	−	0.992458i	$-0.539118\pi$
$7$	−7.30360	−	4.21674i	−1.04337	−	0.602391i	−0.920786	+	0.390067i	$0.872452\pi$
$8$	2.62382	+	7.55748i	0.327977	+	0.944686i
$9$	7.91611	+	4.28197i	0.879568	+	0.475774i
$10$	−0.833388	−	2.12852i	−0.0833388	−	0.212852i
$11$	16.9180	−	4.53318i	1.53800	−	0.412107i	0.612384	−	0.790561i	$-0.290211\pi$
$11$	16.9180	−	4.53318i	1.53800	−	0.412107i	0.925620	+	0.378454i	$0.123544\pi$
$12$	−6.25941	+	10.2382i	−0.521618	+	0.853179i
$13$	−3.32968	+	12.4265i	−0.256129	+	0.955886i	0.711330	+	0.702858i	$0.248093\pi$
$13$	−3.32968	+	12.4265i	−0.256129	+	0.955886i	−0.967459	+	0.253028i	$0.918574\pi$
$14$	16.7624	−	1.87488i	1.19732	−	0.133920i
$15$	1.67302	−	2.99292i	0.111535	−	0.199528i
$16$	−13.1905	−	9.05604i	−0.824404	−	0.566002i
$17$			24.5673i			1.44514i	0.691299	+	0.722569i	$0.257039\pi$
$17$			24.5673i			1.44514i	−0.691299	+	0.722569i	$0.742961\pi$
$18$	−17.8260	+	2.49649i	−0.990335	+	0.138694i
$19$	5.17188	+	5.17188i	0.272204	+	0.272204i	0.829987	−	0.557783i	$-0.188348\pi$
$19$	5.17188	+	5.17188i	0.272204	+	0.272204i	−0.557783	+	0.829987i	$0.688348\pi$
$20$	3.86702	+	2.43858i	0.193351	+	0.121929i
$21$	18.1366	+	17.6401i	0.863649	+	0.840005i
$22$	−21.8629	+	27.3696i	−0.993768	+	1.24407i
$23$	13.7010	+	23.7307i	0.595694	+	1.03177i	0.993449	+	0.114280i	$0.0364560\pi$
$23$	13.7010	+	23.7307i	0.595694	+	1.03177i	−0.397755	+	0.917492i	$0.630211\pi$
$24$	−2.06719	−	23.9108i	−0.0861330	−	0.996284i
$25$	20.5194	+	11.8469i	0.820774	+	0.473874i
$26$	−9.38067	−	23.9588i	−0.360795	−	0.921492i
$27$	−19.8700	−	18.2807i	−0.735924	−	0.677064i
$28$	−24.7659	+	22.9047i	−0.884498	+	0.818023i
$29$	−6.54235	−	24.4164i	−0.225598	−	0.841944i	−0.982164	−	0.188026i	$-0.939791\pi$
$29$	−6.54235	−	24.4164i	−0.225598	−	0.841944i	0.756566	−	0.653917i	$-0.226876\pi$
$30$	0.856766	+	6.80383i	0.0285589	+	0.226794i
$31$	5.21707	+	9.03623i	0.168293	+	0.291491i	0.937820	−	0.347123i	$-0.112841\pi$
$31$	5.21707	+	9.03623i	0.168293	+	0.291491i	−0.769527	+	0.638614i	$0.779508\pi$
$32$	31.9822	−	1.06660i	0.999444	−	0.0333314i
$33$	−52.5395	+	0.729161i	−1.59211	+	0.0220958i
$34$	−29.1450	−	39.5573i	−0.857207	−	1.16345i
$35$	6.81569	−	6.81569i	0.194734	−	0.194734i
$36$	25.7411	−	25.1673i	0.715031	−	0.699093i
$37$	35.3961	−	35.3961i	0.956652	−	0.956652i	−0.0424465	−	0.999099i	$-0.513515\pi$
$37$	35.3961	−	35.3961i	0.956652	−	0.956652i	0.999099	+	0.0424465i	$0.0135152\pi$
$38$	−14.4631	−	2.19198i	−0.380608	−	0.0576838i
$39$	18.8316	−	33.6885i	0.482862	−	0.863808i
$40$	−9.11949	+	0.661063i	−0.227987	+	0.0165266i
$41$	30.0752	+	52.0917i	0.733541	+	1.27053i	0.955361	+	0.295442i	$0.0954669\pi$
$41$	30.0752	+	52.0917i	0.733541	+	1.27053i	−0.221820	+	0.975088i	$0.571200\pi$
$42$	−50.1299	−	6.88732i	−1.19357	−	0.163984i
$43$	−10.6707	−	39.8237i	−0.248157	−	0.926133i	−0.971771	−	0.235928i	$-0.924187\pi$
$43$	−10.6707	−	39.8237i	−0.248157	−	0.926133i	0.723614	−	0.690205i	$-0.242480\pi$
$44$	2.73336	−	70.0060i	0.0621219	−	1.59105i
$45$	−7.06890	+	7.47260i	−0.157087	+	0.166058i
$46$	−50.2133	−	21.9564i	−1.09159	−	0.477313i
$47$	16.9574	+	9.79036i	0.360796	+	0.208306i	0.669430	−	0.742875i	$-0.266538\pi$
$47$	16.9574	+	9.79036i	0.360796	+	0.208306i	−0.308634	+	0.951181i	$0.599872\pi$
$48$	31.6947	+	36.0478i	0.660306	+	0.750997i
$49$	11.0617	+	19.1594i	0.225749	+	0.391009i
$50$	−47.0938	+	5.26745i	−0.941875	+	0.105349i
$51$	18.0857	−	71.4485i	0.354622	−	1.40095i
$52$	43.5275	+	27.4489i	0.837067	+	0.527863i
$53$	19.0289	+	19.0289i	0.359035	+	0.359035i	0.863457	−	0.504422i	$-0.168294\pi$
$53$	19.0289	+	19.0289i	0.359035	+	0.359035i	−0.504422	+	0.863457i	$0.668294\pi$
$54$	53.6808	+	5.86253i	0.994089	+	0.108565i
$55$			20.0182i			0.363967i
$56$	12.7046	−	66.2608i	0.226868	−	1.18323i
$57$	−11.2339	−	18.8486i	−0.197085	−	0.330678i
$58$	39.5002	+	31.5529i	0.681037	+	0.544015i
$59$	−5.35828	+	19.9974i	−0.0908183	+	0.338938i	−0.996352	−	0.0853352i	$-0.972804\pi$
$59$	−5.35828	+	19.9974i	−0.0908183	+	0.338938i	0.905534	+	0.424274i	$0.139471\pi$
$60$	−9.45114	−	9.93885i	−0.157519	−	0.165648i
$61$	−39.1049	+	10.4781i	−0.641065	+	0.171773i	−0.564686	−	0.825306i	$-0.691003\pi$
$61$	−39.1049	+	10.4781i	−0.641065	+	0.171773i	−0.0763790	+	0.997079i	$0.524336\pi$
$62$	−19.1203	−	8.36060i	−0.308392	−	0.134848i
$63$	−39.7602	−	64.6539i	−0.631114	−	1.02625i
$64$	−50.2311	+	39.6590i	−0.784862	+	0.619671i
$65$	−12.7337	−	7.35181i	−0.195903	−	0.113105i
$66$	83.7319	−	63.5034i	1.26867	−	0.962172i
$67$	1.23845	−	4.62195i	0.0184843	−	0.0689843i	−0.956068	−	0.293146i	$-0.905298\pi$
$67$	1.23845	−	4.62195i	0.0184843	−	0.0689843i	0.974552	+	0.224162i	$0.0719644\pi$
$68$	93.8563	+	29.1179i	1.38024	+	0.428205i
$69$	−22.3763	−	79.1017i	−0.324294	−	1.14640i
$70$	−2.88868	+	19.0600i	−0.0412668	+	0.272286i
$71$	−104.125			−1.46655			−0.733277	−	0.679930i	$-0.762010\pi$
$71$	−104.125			−1.46655			−0.733277	+	0.679930i	$0.762010\pi$
$72$	−11.5905	+	71.0610i	−0.160979	+	0.986958i
$73$			77.0276i			1.05517i	0.849502	+	0.527586i	$0.176903\pi$
$73$			77.0276i			1.05517i	−0.849502	+	0.527586i	$0.823097\pi$
$74$	−15.0019	+	98.9850i	−0.202728	+	1.33764i
$75$	−50.9546	−	49.5596i	−0.679395	−	0.660795i
$76$	25.8884	−	13.6286i	0.340636	−	0.179324i
$77$	−142.678	−	38.2304i	−1.85296	−	0.496499i
$78$	9.64383	+	76.5845i	0.123639	+	0.981852i
$79$	−22.3815	+	38.7658i	−0.283310	+	0.490707i	−0.972198	−	0.234161i	$-0.924766\pi$
$79$	−22.3815	+	38.7658i	−0.283310	+	0.490707i	0.688888	+	0.724868i	$0.258099\pi$
$80$	13.8996	−	11.8832i	0.173745	−	0.148540i
$81$	44.3295	+	67.7930i	0.547278	+	0.836951i
$82$	−110.224	−	48.1968i	−1.34419	−	0.587766i
$83$	29.0965	+	108.590i	0.350561	+	1.30831i	0.885980	+	0.463724i	$0.153487\pi$
$83$	29.0965	+	108.590i	0.350561	+	1.30831i	−0.535419	+	0.844586i	$0.679846\pi$
$84$	88.8878	−	48.3811i	1.05819	−	0.575965i
$85$	−27.1219	−	7.26730i	−0.319082	−	0.0854976i
$86$	64.4258	+	51.4635i	0.749137	+	0.598413i
$87$	1.05234	+	75.8257i	0.0120958	+	0.871560i
$88$	78.6493	+	115.964i	0.893742	+	1.31777i
$89$	28.0553			0.315228			0.157614	−	0.987501i	$-0.449620\pi$
$89$	28.0553			0.315228			0.157614	+	0.987501i	$0.449620\pi$
$90$	2.51707	−	20.4181i	0.0279674	−	0.226868i
$91$	76.7180	−	76.7180i	0.843054	−	0.843054i
$92$	106.899	−	24.2163i	1.16195	−	0.263221i
$93$	−8.52047	−	30.1205i	−0.0916179	−	0.323876i
$94$	−38.9188	+	4.35307i	−0.414029	+	0.0463093i
$95$	−7.23957	+	4.17977i	−0.0762060	+	0.0439976i
$96$	−93.7982	−	20.4424i	−0.977065	−	0.212941i
$97$	96.2108	−	166.642i	0.991864	−	1.71796i	0.385686	−	0.922630i	$-0.373965\pi$
$97$	96.2108	−	166.642i	0.991864	−	1.71796i	0.606178	−	0.795329i	$-0.292702\pi$
$98$	−40.5406	−	17.7269i	−0.413680	−	0.180887i
$99$	153.336	+	36.5574i	1.54885	+	0.369267i
$100$	69.5795	−	64.3503i	0.695795	−	0.643503i
$101$	−42.7321	+	11.4500i	−0.423090	+	0.113367i	−0.464081	−	0.885793i	$-0.653615\pi$
$101$	−42.7321	+	11.4500i	−0.423090	+	0.113367i	0.0409908	+	0.999160i	$0.486949\pi$
$102$	55.6408	+	136.499i	0.545498	+	1.33823i
$103$	−15.2760	+	8.81960i	−0.148311	+	0.0856272i	−0.572319	−	0.820031i	$-0.693956\pi$
$103$	−15.2760	+	8.81960i	−0.148311	+	0.0856272i	0.424008	+	0.905658i	$0.360623\pi$
$104$	−102.650	+	7.44097i	−0.987016	+	0.0715478i
$105$	−24.8394	+	14.8044i	−0.236566	+	0.140994i
$106$	−53.2141	−	8.06495i	−0.502020	−	0.0760845i
$107$	−22.8922	−	22.8922i	−0.213946	−	0.213946i	0.591995	−	0.805941i	$-0.298340\pi$
$107$	−22.8922	−	22.8922i	−0.213946	−	0.213946i	−0.805941	+	0.591995i	$0.798340\pi$
$108$	−93.3896	+	54.2437i	−0.864719	+	0.502256i
$109$	137.907	+	137.907i	1.26521	+	1.26521i	0.948536	+	0.316670i	$0.102565\pi$
$109$	137.907	+	137.907i	1.26521	+	1.26521i	0.316670	+	0.948536i	$0.397435\pi$
$110$	−23.7482	−	32.2325i	−0.215893	−	0.293023i
$111$	−128.999	+	76.8841i	−1.16215	+	0.692649i
$112$	58.1509	+	121.762i	0.519205	+	1.08716i
$113$	−78.9607	+	45.5880i	−0.698767	+	0.403433i	−0.806888	−	0.590704i	$-0.798850\pi$
$113$	−78.9607	+	45.5880i	−0.698767	+	0.403433i	0.108121	+	0.994138i	$0.465517\pi$
$114$	40.4490	+	17.0222i	0.354816	+	0.149318i
$115$	−30.2512	+	8.10580i	−0.263054	+	0.0704852i
$116$	−101.034	−	3.94483i	−0.870981	−	0.0340072i
$117$	−79.5680	+	84.1121i	−0.680068	+	0.718907i
$118$	−15.0958	−	38.5557i	−0.127931	−	0.326743i
$119$	103.594	−	179.430i	0.870537	−	1.50782i
$120$	27.0086	+	4.79095i	0.225072	+	0.0399245i
$121$	160.881	−	92.8849i	1.32960	−	0.767644i
$122$	50.5347	−	63.2629i	0.414218	−	0.518549i
$123$	−49.1184	−	173.637i	−0.399337	−	1.41169i
$124$	40.7052	−	9.22113i	0.328268	−	0.0743639i
$125$	−39.3529	+	39.3529i	−0.314823	+	0.314823i
$126$	140.721	+	56.9343i	1.11684	+	0.451860i
$127$	−151.084			−1.18964			−0.594820	−	0.803859i	$-0.702777\pi$
$127$	−151.084			−1.18964			−0.594820	+	0.803859i	$0.702777\pi$
$128$	33.8315	−	123.448i	0.264308	−	0.964438i
$129$	1.71639	+	123.674i	0.0133053	+	0.958711i
$130$	29.2250	−	3.26882i	0.224808	−	0.0251448i
$131$	101.463	+	27.1870i	0.774528	+	0.207534i	0.624371	−	0.781128i	$-0.285355\pi$
$131$	101.463	+	27.1870i	0.774528	+	0.207534i	0.150157	+	0.988662i	$0.452022\pi$
$132$	−59.4857	+	201.585i	−0.450649	+	1.52716i
$133$	−15.9649	−	59.5818i	−0.120037	−	0.447983i
$134$	3.48907	+	8.91128i	0.0260378	+	0.0665021i
$135$	26.0594	−	16.5284i	0.193032	−	0.122433i
$136$	−185.667	+	64.4603i	−1.36520	+	0.473972i
$137$	7.58164	−	13.1318i	0.0553404	−	0.0958524i	−0.837028	−	0.547160i	$-0.815709\pi$
$137$	7.58164	−	13.1318i	0.0553404	−	0.0958524i	0.892368	+	0.451308i	$0.149042\pi$
$138$	129.870	+	100.821i	0.941089	+	0.730585i
$139$	96.7880	+	25.9343i	0.696316	+	0.186577i	0.589580	−	0.807710i	$-0.299293\pi$
$139$	96.7880	+	25.9343i	0.696316	+	0.186577i	0.106736	+	0.994287i	$0.465960\pi$
$140$	−17.9603	−	34.1166i	−0.128288	−	0.243690i
$141$	−42.1094	−	40.9566i	−0.298648	−	0.290472i
$142$	167.658	−	123.527i	1.18069	−	0.869910i
$143$			225.326i			1.57571i
$144$	−65.6394	−	128.170i	−0.455830	−	0.890067i
$145$	28.8906			0.199245
$146$	−91.3803	−	124.027i	−0.625893	−	0.849498i
$147$	−18.0659	−	63.8642i	−0.122897	−	0.434450i
$148$	−93.2738	−	177.179i	−0.630228	−	1.19715i
$149$	13.0558	−	48.7248i	0.0876226	−	0.327012i	−0.908175	−	0.418590i	$-0.862524\pi$
$149$	13.0558	−	48.7248i	0.0876226	−	0.327012i	0.995798	+	0.0915780i	$0.0291911\pi$
$150$	140.839	+	19.3498i	0.938929	+	0.128999i
$151$	−134.952	−	77.9144i	−0.893719	−	0.515989i	−0.0185621	−	0.999828i	$-0.505909\pi$
$151$	−134.952	−	77.9144i	−0.893719	−	0.515989i	−0.875157	+	0.483839i	$0.839242\pi$
$152$	−25.5163	+	52.6565i	−0.167871	+	0.346424i
$153$	−105.197	+	194.478i	−0.687559	+	1.27110i
$154$	275.088	−	107.706i	1.78629	−	0.699391i
$155$	−11.5191	+	3.08654i	−0.0743169	+	0.0199132i
$156$	−106.383	−	111.872i	−0.681941	−	0.717131i
$157$	31.9482	−	119.232i	0.203492	−	0.759441i	−0.786412	−	0.617702i	$-0.788064\pi$
$157$	31.9482	−	119.232i	0.203492	−	0.759441i	0.989904	−	0.141739i	$-0.0452695\pi$
$158$	−9.95143	−	88.9710i	−0.0629837	−	0.563108i
$159$	−41.3327	−	69.3496i	−0.259954	−	0.436161i
$160$	−8.28319	+	35.6234i	−0.0517700	+	0.222646i
$161$		−	231.093i		−	1.43536i
$162$	−151.803	−	56.5680i	−0.937054	−	0.349185i
$163$	33.7357	+	33.7357i	0.206968	+	0.206968i	0.802977	−	0.596010i	$-0.203248\pi$
$163$	33.7357	+	33.7357i	0.206968	+	0.206968i	−0.596010	+	0.802977i	$0.703248\pi$
$164$	234.656	−	53.1576i	1.43083	−	0.324132i
$165$	14.7368	−	58.2184i	0.0893139	−	0.352839i
$166$	−175.674	−	140.329i	−1.05827	−	0.845353i
$167$	17.9611	+	31.1095i	0.107551	+	0.186284i	0.914778	−	0.403958i	$-0.132366\pi$
$167$	17.9611	+	31.1095i	0.107551	+	0.186284i	−0.807226	+	0.590242i	$0.799032\pi$
$168$	−85.7276	+	183.352i	−0.510283	+	1.09138i
$169$	3.02666	+	1.74744i	0.0179092	+	0.0103399i
$170$	52.2921	−	20.4741i	0.307600	−	0.120436i
$171$	18.7953	+	63.0870i	0.109914	+	0.368930i
$172$	−164.789	−	6.43412i	−0.958073	−	0.0374077i
$173$	−60.7945	−	226.888i	−0.351413	−	1.31149i	−0.884938	−	0.465708i	$-0.845800\pi$
$173$	−60.7945	−	226.888i	−0.351413	−	1.31149i	0.533525	−	0.845784i	$-0.320867\pi$
$174$	−91.6490	−	120.843i	−0.526718	−	0.694501i
$175$	−99.9101	−	173.049i	−0.570915	−	0.988854i
$176$	−264.209	−	93.4157i	−1.50119	−	0.530771i
$177$	30.3048	−	54.2132i	0.171214	−	0.306289i
$178$	−45.1735	+	33.2829i	−0.253784	+	0.186983i
$179$	−118.155	+	118.155i	−0.660084	+	0.660084i	−0.955400	−	0.295315i	$-0.904575\pi$
$179$	−118.155	+	118.155i	−0.660084	+	0.660084i	0.295315	+	0.955400i	$0.404575\pi$
$180$	20.1698	+	35.8625i	0.112055	+	0.199236i
$181$	124.484	−	124.484i	0.687758	−	0.687758i	−0.273978	−	0.961736i	$-0.588339\pi$
$181$	124.484	−	124.484i	0.687758	−	0.687758i	0.961736	+	0.273978i	$0.0883395\pi$
$182$	−32.5152	+	214.541i	−0.178655	+	1.17880i
$183$	121.442	−	1.68541i	0.663615	−	0.00920987i
$184$	−143.396	+	165.810i	−0.779326	+	0.901141i
$185$	28.6062	+	49.5473i	0.154628	+	0.267823i
$186$	49.4522	+	38.3907i	0.265872	+	0.206402i
$187$	111.368	+	415.631i	0.595551	+	2.22263i
$188$	57.5012	−	53.1797i	0.305858	−	0.282871i
$189$	68.0372	+	217.301i	0.359985	+	1.14974i
$190$	6.69827	−	15.3186i	0.0352541	−	0.0806244i
$191$	222.153	+	128.260i	1.16311	+	0.671519i	0.952046	−	0.305954i	$-0.0989754\pi$
$191$	222.153	+	128.260i	1.16311	+	0.671519i	0.211059	+	0.977473i	$0.432309\pi$
$192$	175.282	−	78.3604i	0.912925	−	0.408127i
$193$	−89.5278	−	155.067i	−0.463875	−	0.803454i	0.535275	−	0.844678i	$-0.320208\pi$
$193$	−89.5278	−	155.067i	−0.463875	−	0.803454i	−0.999150	+	0.0412233i	$0.986875\pi$
$194$	42.7781	+	382.458i	0.220505	+	1.97143i
$195$	31.6209	+	30.7553i	0.162159	+	0.157719i
$196$	86.3069	−	19.5515i	0.440341	−	0.0997525i
$197$	−119.579	−	119.579i	−0.607001	−	0.607001i	0.335160	−	0.942161i	$-0.391210\pi$
$197$	−119.579	−	119.579i	−0.607001	−	0.607001i	−0.942161	+	0.335160i	$0.891210\pi$
$198$	−290.265	+	123.044i	−1.46598	+	0.621435i
$199$			100.925i			0.507160i	0.967314	+	0.253580i	$0.0816081\pi$
$199$			100.925i			0.507160i	−0.967314	+	0.253580i	$0.918392\pi$
$200$	−35.6933	+	186.159i	−0.178467	+	0.930794i
$201$	−7.00428	+	12.5302i	−0.0348472	+	0.0623392i
$202$	55.2219	−	69.1308i	0.273376	−	0.342232i
$203$	−55.1747	+	205.915i	−0.271796	+	1.01436i
$204$	−251.524	−	153.777i	−1.23296	−	0.753810i
$205$	−66.4050	+	17.7932i	−0.323927	+	0.0867959i
$206$	14.1338	−	32.3234i	0.0686107	−	0.156910i
$207$	6.84395	+	246.522i	0.0330626	+	1.19093i
$208$	156.455	−	133.758i	0.752187	−	0.643066i
$209$	110.943	+	64.0530i	0.530828	+	0.306474i
$210$	22.4325	−	53.3052i	0.106821	−	0.253834i
$211$	29.4879	−	110.050i	0.139753	−	0.521565i	−0.860180	−	0.509990i	$-0.829649\pi$
$211$	29.4879	−	110.050i	0.139753	−	0.521565i	0.999933	−	0.0115745i	$-0.00368435\pi$
$212$	95.2509	−	50.1437i	0.449297	−	0.236527i
$213$	302.825	+	76.6539i	1.42171	+	0.359877i
$214$	64.0179	+	9.70235i	0.299149	+	0.0453381i
$215$	47.1212			0.219169
$216$	86.0212	−	198.132i	0.398246	−	0.917279i
$217$		−	87.9960i		−	0.405512i
$218$	−385.657	−	58.4490i	−1.76907	−	0.268114i
$219$	56.7054	−	224.017i	0.258929	−	1.02291i
$220$	76.4770	+	23.7262i	0.347623	+	0.107846i
$221$	−305.286	−	81.8013i	−1.38139	−	0.370141i
$222$	116.499	−	276.832i	0.524772	−	1.24699i
$223$	−200.546	+	347.356i	−0.899310	+	1.55765i	−0.0709322	+	0.997481i	$0.522597\pi$
$223$	−200.546	+	347.356i	−0.899310	+	1.55765i	−0.828378	+	0.560170i	$0.810736\pi$
$224$	−238.083	−	127.071i	−1.06287	−	0.567279i
$225$	111.706	+	181.644i	0.496469	+	0.807308i
$226$	73.0568	−	167.078i	0.323260	−	0.739281i
$227$	−65.6717	−	245.090i	−0.289303	−	1.07969i	−0.945637	−	0.325223i	$-0.894561\pi$
$227$	−65.6717	−	245.090i	−0.289303	−	1.07969i	0.656335	−	0.754470i	$-0.272106\pi$
$228$	−85.3234	+	20.5775i	−0.374226	+	0.0902524i
$229$	−170.322	−	45.6375i	−0.743762	−	0.199291i	−0.133013	−	0.991114i	$-0.542465\pi$
$229$	−170.322	−	45.6375i	−0.743762	−	0.199291i	−0.610750	+	0.791824i	$0.709132\pi$
$230$	39.0932	−	48.9397i	0.169970	−	0.212781i
$231$	386.802	+	216.220i	1.67447	+	0.936016i
$232$	167.360	−	113.508i	0.721381	−	0.489258i
$233$	71.8190			0.308236			0.154118	−	0.988052i	$-0.450746\pi$
$233$	71.8190			0.308236			0.154118	+	0.988052i	$0.450746\pi$
$234$	28.3323	−	229.828i	0.121078	−	0.982171i
$235$	−15.8246	+	15.8246i	−0.0673387	+	0.0673387i
$236$	70.0466	+	44.1721i	0.296807	+	0.187170i
$237$	93.6296	−	96.2650i	0.395062	−	0.406182i
$238$	46.0608	+	411.808i	0.193533	+	1.73029i
$239$	362.619	−	209.358i	1.51723	−	0.875975i	0.517439	−	0.855720i	$-0.326886\pi$
$239$	362.619	−	209.358i	1.51723	−	0.875975i	0.999795	−	0.0202550i	$-0.00644781\pi$
$240$	−49.1719	+	24.3270i	−0.204883	+	0.101363i
$241$	−51.2827	+	88.8242i	−0.212791	+	0.368565i	−0.952587	−	0.304266i	$-0.901589\pi$
$241$	−51.2827	+	88.8242i	−0.212791	+	0.368565i	0.739796	+	0.672831i	$0.234922\pi$
$242$	−148.852	+	340.418i	−0.615093	+	1.40669i
$243$	−79.0152	−	229.795i	−0.325165	−	0.945657i
$244$	−6.31799	+	161.814i	−0.0258934	+	0.663174i
$245$	−24.4239	+	6.54436i	−0.0996894	+	0.0267117i
$246$	285.080	+	221.313i	1.15886	+	0.899647i
$247$	−81.4891	+	47.0478i	−0.329916	+	0.190477i
$248$	−54.6025	+	63.1374i	−0.220171	+	0.254586i
$249$	−4.68017	−	337.229i	−0.0187959	−	1.35433i
$250$	16.6788	−	110.050i	0.0667153	−	0.440200i
$251$	62.0221	+	62.0221i	0.247100	+	0.247100i	0.819779	−	0.572679i	$-0.194096\pi$
$251$	62.0221	+	62.0221i	0.247100	+	0.247100i	−0.572679	+	0.819779i	$0.694096\pi$
$252$	−294.127	+	75.2688i	−1.16717	+	0.298686i
$253$	339.369	+	339.369i	1.34138	+	1.34138i
$254$	243.270	−	179.236i	0.957755	−	0.705654i
$255$	73.5280	+	41.1016i	0.288345	+	0.161183i
$256$	91.9764	+	238.907i	0.359283	+	0.933229i
$257$	256.170	−	147.900i	0.996770	−	0.575486i	0.0894793	−	0.995989i	$-0.471480\pi$
$257$	256.170	−	147.900i	0.996770	−	0.575486i	0.907291	+	0.420503i	$0.138146\pi$
$258$	−149.482	−	197.098i	−0.579387	−	0.763947i
$259$	−407.775	+	109.263i	−1.57442	+	0.421865i
$260$	−43.1790	+	39.9339i	−0.166073	+	0.153592i
$261$	52.7602	−	221.297i	0.202146	−	0.847880i
$262$	−195.625	+	76.5937i	−0.746660	+	0.292342i
$263$	−118.843	+	205.842i	−0.451874	+	0.782670i	−0.998503	−	0.0547060i	$-0.982578\pi$
$263$	−118.843	+	205.842i	−0.451874	+	0.782670i	0.546628	+	0.837376i	$0.315911\pi$
$264$	−143.365	−	395.153i	−0.543048	−	1.49679i
$265$	−26.6365	+	15.3786i	−0.100515	+	0.0580324i
$266$	96.3898	+	76.9965i	0.362368	+	0.289461i
$267$	−81.5925	−	20.6535i	−0.305590	−	0.0773538i
$268$	−16.1897	−	10.2094i	−0.0604093	−	0.0380948i
$269$	315.651	−	315.651i	1.17342	−	1.17342i	0.192034	−	0.981388i	$-0.438492\pi$
$269$	315.651	−	315.651i	1.17342	−	1.17342i	0.981388	−	0.192034i	$-0.0615083\pi$
$270$	−22.3515	+	57.5285i	−0.0827835	+	0.213069i
$271$	80.8855			0.298470			0.149235	−	0.988802i	$-0.452319\pi$
$271$	80.8855			0.298470			0.149235	+	0.988802i	$0.452319\pi$
$272$	222.483	−	324.054i	0.817951	−	1.19138i
$273$	−279.594	+	166.639i	−1.02415	+	0.610401i
$274$	3.37101	+	30.1386i	0.0123030	+	0.109995i
$275$	400.851	+	107.408i	1.45764	+	0.390574i
$276$	−328.719	−	8.26817i	−1.19101	−	0.0299571i
$277$	47.9836	+	179.077i	0.173226	+	0.646489i	0.996847	+	0.0793479i	$0.0252838\pi$
$277$	47.9836	+	179.077i	0.173226	+	0.646489i	−0.823621	+	0.567141i	$0.808050\pi$
$278$	−186.611	+	73.0644i	−0.671262	+	0.262822i
$279$	2.60605	+	93.8711i	0.00934069	+	0.336456i
$280$	69.3927	+	33.6264i	0.247831	+	0.120094i
$281$	−206.291	+	357.306i	−0.734131	+	1.27155i	0.220973	+	0.975280i	$0.429077\pi$
$281$	−206.291	+	357.306i	−0.734131	+	1.27155i	−0.955104	+	0.296272i	$0.904257\pi$
$282$	116.391	+	15.9909i	0.412734	+	0.0567053i
$283$	362.186	+	97.0475i	1.27981	+	0.342924i	0.833781	−	0.552095i	$-0.186171\pi$
$283$	362.186	+	97.0475i	1.27981	+	0.342924i	0.446029	+	0.895019i	$0.352838\pi$
$284$	−123.412	+	397.797i	−0.434551	+	1.40069i
$285$	24.1317	−	6.82635i	0.0846725	−	0.0239521i
$286$	−267.312	−	362.812i	−0.934657	−	1.26857i
$287$		−	507.276i		−	1.76751i
$288$	257.742	+	128.503i	0.894937	+	0.446193i
$289$	−314.554			−1.08842
$290$	−46.5184	+	34.2738i	−0.160408	+	0.118186i
$291$	−402.484	+	413.813i	−1.38311	+	1.42204i
$292$	294.274	+	91.2954i	1.00779	+	0.312655i
$293$	−29.8227	+	111.300i	−0.101784	+	0.379862i	−0.997960	−	0.0638351i	$-0.979667\pi$
$293$	−29.8227	+	111.300i	−0.101784	+	0.379862i	0.896177	+	0.443697i	$0.146333\pi$
$294$	104.853	+	81.3995i	0.356643	+	0.276869i
$295$	−20.4917	−	11.8309i	−0.0694635	−	0.0401047i
$296$	360.379	+	174.633i	1.21750	+	0.589975i
$297$	−419.030	−	219.200i	−1.41088	−	0.738048i
$298$	36.7819	+	93.9432i	0.123429	+	0.315246i
$299$	−340.510	+	91.2394i	−1.13883	+	0.305149i
$300$	−249.729	+	135.926i	−0.832430	+	0.453086i
$301$	−89.9913	+	335.852i	−0.298974	+	1.11579i
$302$	309.726	−	34.6429i	1.02558	−	0.114712i
$303$	132.706	−	1.84174i	0.437973	−	0.00607833i
$304$	−21.3827	−	115.056i	−0.0703380	−	0.378474i
$305$		−	46.2708i		−	0.151707i
$306$	−61.3320	−	437.938i	−0.200431	−	1.43117i
$307$	−176.941	−	176.941i	−0.576354	−	0.576354i	0.357543	−	0.933897i	$-0.383615\pi$
$307$	−176.941	−	176.941i	−0.576354	−	0.576354i	−0.933897	+	0.357543i	$0.883615\pi$
$308$	−315.160	+	499.770i	−1.02325	+	1.62263i
$309$	50.9195	−	14.4041i	0.164788	−	0.0466151i
$310$	14.8860	−	18.6353i	0.0480192	−	0.0601140i
$311$	−164.587	−	285.073i	−0.529219	−	0.916633i	−0.999419	−	0.0340739i	$-0.989152\pi$
$311$	−164.587	−	285.073i	−0.529219	−	0.916633i	0.470201	−	0.882559i	$-0.344181\pi$
$312$	304.011	+	53.9272i	0.974395	+	0.172844i
$313$	120.452	+	69.5430i	0.384830	+	0.222182i	0.679918	−	0.733288i	$-0.262015\pi$
$313$	120.452	+	69.5430i	0.384830	+	0.222182i	−0.295087	+	0.955470i	$0.595349\pi$
$314$	90.0074	+	229.884i	0.286648	+	0.732115i
$315$	83.1383	−	24.7692i	0.263931	−	0.0786324i
$316$	121.573	+	131.452i	0.384723	+	0.415987i
$317$	26.9501	+	100.579i	0.0850161	+	0.317284i	0.995317	−	0.0966623i	$-0.0308167\pi$
$317$	26.9501	+	100.579i	0.0850161	+	0.317284i	−0.910301	+	0.413947i	$0.864150\pi$
$318$	148.824	+	62.6297i	0.468000	+	0.196949i
$319$	−221.367	−	383.420i	−0.693942	−	1.20194i
$320$	−28.9239	−	67.1859i	−0.0903871	−	0.209956i
$321$	49.7243	+	83.4294i	0.154904	+	0.259905i
$322$	274.153	+	372.097i	0.851408	+	1.15558i
$323$	−127.059	+	127.059i	−0.393372	+	0.393372i
$324$	311.535	−	89.0049i	0.961528	−	0.274706i
$325$	−215.538	+	215.538i	−0.663194	+	0.663194i
$326$	−94.3416	−	14.2981i	−0.289392	−	0.0438593i
$327$	−299.549	−	502.596i	−0.916053	−	1.53699i
$328$	−314.771	+	363.972i	−0.959666	+	1.10967i
$329$	−82.5667	−	143.010i	−0.250963	−	0.434680i
$330$	45.3378	+	111.224i	0.137387	+	0.337042i
$331$	−170.204	−	635.209i	−0.514210	−	1.91906i	−0.368081	−	0.929794i	$-0.619985\pi$
$331$	−170.204	−	635.209i	−0.514210	−	1.91906i	−0.146130	−	0.989265i	$-0.546682\pi$
$332$	449.339	+	17.5443i	1.35343	+	0.0528443i
$333$	431.765	−	128.635i	1.29659	−	0.386290i
$334$	−65.8264	−	28.7834i	−0.197085	−	0.0861780i
$335$	4.73621	+	2.73445i	0.0141379	+	0.00816254i
$336$	−79.4810	−	396.927i	−0.236551	−	1.18133i
$337$	−200.942	−	348.042i	−0.596268	−	1.03277i	−0.993367	−	0.114991i	$-0.963316\pi$
$337$	−200.942	−	348.042i	−0.596268	−	1.03277i	0.397099	−	0.917776i	$-0.370017\pi$
$338$	−6.94646	+	0.776963i	−0.0205517	+	0.00229871i
$339$	263.200	−	74.4538i	0.776400	−	0.219628i
$340$	−59.9095	+	95.0024i	−0.176204	+	0.279419i
$341$	129.225	+	129.225i	0.378960	+	0.378960i
$342$	−105.106	−	79.2826i	−0.307326	−	0.231820i
$343$			226.663i			0.660825i
$344$	272.969	−	185.134i	0.793515	−	0.538181i
$345$	93.9461	−	1.30382i	0.272308	−	0.00377918i
$346$	367.054	+	293.204i	1.06085	+	0.847410i
$347$	−29.4869	+	110.047i	−0.0849767	+	0.317137i	−0.995310	−	0.0967391i	$-0.969159\pi$
$347$	−29.4869	+	110.047i	−0.0849767	+	0.317137i	0.910333	+	0.413876i	$0.135825\pi$
$348$	290.930	+	85.8507i	0.836005	+	0.246697i
$349$	−626.201	+	167.790i	−1.79427	+	0.480774i	−0.993060	−	0.117608i	$-0.962477\pi$
$349$	−626.201	+	167.790i	−1.79427	+	0.480774i	−0.801211	+	0.598382i	$0.795811\pi$
$350$	366.165	+	160.111i	1.04619	+	0.457459i
$351$	293.326	−	186.045i	0.835688	−	0.530044i
$352$	536.241	−	163.026i	1.52341	−	0.463142i
$353$	−56.7577	−	32.7691i	−0.160787	−	0.0928303i	0.417448	−	0.908701i	$-0.362925\pi$
$353$	−56.7577	−	32.7691i	−0.160787	−	0.0928303i	−0.578234	+	0.815871i	$0.696258\pi$
$354$	15.5193	+	123.244i	0.0438399	+	0.348145i
$355$	30.8015	−	114.953i	0.0867647	−	0.323810i
$356$	33.2520	−	107.182i	0.0934045	−	0.301072i
$357$	−433.370	+	445.569i	−1.21392	+	1.24809i
$358$	50.0774	−	330.420i	0.139881	−	0.922960i
$359$	−260.892			−0.726719			−0.363359	−	0.931649i	$-0.618370\pi$
$359$	−260.892			−0.726719			−0.363359	+	0.931649i	$0.618370\pi$
$360$	−75.0215	−	33.8163i	−0.208393	−	0.0939342i
$361$		−	307.503i		−	0.851810i
$362$	−52.7598	+	348.119i	−0.145745	+	0.961655i
$363$	−536.266	+	151.699i	−1.47732	+	0.417903i
$364$	−202.163	−	384.019i	−0.555392	−	1.05500i
$365$	−85.0372	−	22.7856i	−0.232979	−	0.0624264i
$366$	−193.541	+	146.784i	−0.528800	+	0.401049i
$367$	344.946	−	597.464i	0.939907	−	1.62797i	0.174266	−	0.984699i	$-0.444245\pi$
$367$	344.946	−	597.464i	0.939907	−	1.62797i	0.765641	−	0.643268i	$-0.222422\pi$
$368$	34.1846	−	437.096i	0.0928930	−	1.18776i
$369$	15.0233	+	541.144i	0.0407135	+	1.46652i
$370$	−104.840	−	45.8427i	−0.283352	−	0.123899i
$371$	−58.7395	−	219.219i	−0.158328	−	0.590886i
$372$	−125.170	−	3.14837i	−0.336479	−	0.00846335i
$373$	77.6351	+	20.8023i	0.208137	+	0.0557701i	0.361381	−	0.932418i	$-0.382305\pi$
$373$	77.6351	+	20.8023i	0.208137	+	0.0557701i	−0.153244	+	0.988188i	$0.548972\pi$
$374$	−672.397	−	537.113i	−1.79785	−	1.43613i
$375$	143.419	−	85.4786i	0.382452	−	0.227943i
$376$	−29.4973	+	153.843i	−0.0784504	+	0.409158i
$377$	325.194			0.862584
$378$	−367.343	−	269.175i	−0.971806	−	0.712104i
$379$	−156.345	+	156.345i	−0.412520	+	0.412520i	−0.882616	−	0.470096i	$-0.844219\pi$
$379$	−156.345	+	156.345i	−0.412520	+	0.412520i	0.470096	+	0.882616i	$0.344219\pi$
$380$	7.38770	+	32.6118i	0.0194413	+	0.0858206i
$381$	439.394	+	111.224i	1.15327	+	0.291926i
$382$	−509.861	+	57.0281i	−1.33472	+	0.149288i
$383$	346.404	−	199.996i	0.904448	−	0.522183i	0.0258075	−	0.999667i	$-0.491784\pi$
$383$	346.404	−	199.996i	0.904448	−	0.522183i	0.878641	+	0.477483i	$0.158451\pi$
$384$	−189.270	+	334.115i	−0.492890	+	0.870091i
$385$	84.4115	−	146.205i	0.219251	−	0.379753i
$386$	328.115	+	143.472i	0.850038	+	0.371690i
$387$	86.0531	−	360.941i	0.222360	−	0.932663i
$388$	−522.602	−	565.070i	−1.34691	−	1.45637i
$389$	166.566	−	44.6312i	0.428190	−	0.114733i	−0.0382863	−	0.999267i	$-0.512190\pi$
$389$	166.566	−	44.6312i	0.428190	−	0.114733i	0.466476	+	0.884534i	$0.345523\pi$
$390$	−87.4007	−	12.0079i	−0.224104	−	0.0307896i
$391$	−583.001	+	336.596i	−1.49105	+	0.860859i
$392$	−115.773	+	133.870i	−0.295340	+	0.341504i
$393$	−275.069	−	153.761i	−0.699920	−	0.391250i
$394$	334.402	+	50.6810i	0.848737	+	0.128632i
$395$	−36.1761	−	36.1761i	−0.0915851	−	0.0915851i
$396$	321.401	−	542.471i	0.811619	−	1.36988i
$397$	−172.732	−	172.732i	−0.435094	−	0.435094i	0.455263	−	0.890357i	$-0.349545\pi$
$397$	−172.732	−	172.732i	−0.435094	−	0.435094i	−0.890357	+	0.455263i	$0.849545\pi$
$398$	−119.730	−	162.505i	−0.300830	−	0.408304i
$399$	2.56795	+	185.033i	0.00643597	+	0.463742i
$400$	−163.374	−	342.090i	−0.408436	−	0.855224i
$401$	273.457	−	157.880i	0.681937	−	0.393717i	−0.118647	−	0.992936i	$-0.537856\pi$
$401$	273.457	−	157.880i	0.681937	−	0.393717i	0.800585	+	0.599220i	$0.204522\pi$
$402$	−3.58695	−	28.4850i	−0.00892275	−	0.0708582i
$403$	−129.660	+	34.7423i	−0.321737	+	0.0862092i
$404$	−6.90401	+	176.823i	−0.0170891	+	0.437681i
$405$	−87.9556	+	28.8851i	−0.217174	+	0.0713213i
$406$	−155.443	−	397.011i	−0.382865	−	0.977860i
$407$	438.376	−	759.290i	1.07709	−	1.86558i
$408$	587.425	−	50.7854i	1.43977	−	0.124474i
$409$	359.171	−	207.368i	0.878169	−	0.507011i	0.00811496	−	0.999967i	$-0.497417\pi$
$409$	359.171	−	207.368i	0.878169	−	0.507011i	0.870054	+	0.492956i	$0.164084\pi$
$410$	85.8140	−	107.428i	0.209302	−	0.262020i
$411$	−31.7167	+	32.6094i	−0.0771696	+	0.0793417i
$412$	15.5886	+	68.8132i	0.0378363	+	0.167022i
$413$	123.458	−	123.458i	0.298931	−	0.298931i
$414$	−303.477	−	388.821i	−0.733036	−	0.939181i
$415$	−128.488			−0.309610
$416$	−93.2362	+	400.979i	−0.224126	+	0.963892i
$417$	−262.394	−	146.676i	−0.629242	−	0.351742i
$418$	−254.624	+	28.4798i	−0.609149	+	0.0681335i
$419$	−332.893	−	89.1985i	−0.794494	−	0.212884i	−0.161329	−	0.986901i	$-0.551578\pi$
$419$	−332.893	−	89.1985i	−0.794494	−	0.212884i	−0.633165	+	0.774017i	$0.718245\pi$
$420$	27.1178	+	112.442i	0.0645663	+	0.267720i
$421$	121.102	+	451.961i	0.287654	+	1.07354i	0.946878	+	0.321594i	$0.104218\pi$
$421$	121.102	+	451.961i	0.287654	+	1.07354i	−0.659223	+	0.751947i	$0.729115\pi$
$422$	83.0759	+	212.181i	0.196862	+	0.502798i
$423$	92.3146	+	150.113i	0.218238	+	0.354876i
$424$	−93.8820	+	193.739i	−0.221420	+	0.456931i
$425$	−291.046	+	504.106i	−0.684814	+	1.18613i
$426$	−578.533	+	235.826i	−1.35806	+	0.553582i
$427$	329.790	+	88.3671i	0.772343	+	0.206949i
$428$	−114.589	+	60.3242i	−0.267732	+	0.140944i
$429$	165.879	−	655.311i	0.386663	−	1.52753i
$430$	−75.8727	+	55.9015i	−0.176448	+	0.130003i
$431$			1.73019i			0.00401437i	0.999998	+	0.00200718i	$0.000638906\pi$
$431$			1.73019i			0.00401437i	−0.999998	+	0.00200718i	$0.999361\pi$
$432$	96.5428	+	421.074i	0.223479	+	0.974709i
$433$	12.7650			0.0294804			0.0147402	−	0.999891i	$-0.495308\pi$
$433$	12.7650			0.0294804			0.0147402	+	0.999891i	$0.495308\pi$
$434$	104.393	+	141.688i	0.240536	+	0.326469i
$435$	−84.0217	−	21.2684i	−0.193153	−	0.0488928i
$436$	690.310	−	363.405i	1.58328	−	0.833499i
$437$	−51.8729	+	193.592i	−0.118702	+	0.443003i
$438$	174.454	+	427.975i	0.398297	+	0.977112i
$439$	437.598	+	252.647i	0.996806	+	0.575506i	0.907302	−	0.420480i	$-0.138138\pi$
$439$	437.598	+	252.647i	0.996806	+	0.575506i	0.0895046	+	0.995986i	$0.471472\pi$
$440$	−151.287	+	52.5242i	−0.343835	+	0.119373i
$441$	5.52559	+	199.034i	0.0125297	+	0.451325i
$442$	588.604	−	230.458i	1.33168	−	0.521399i
$443$	−120.473	+	32.2808i	−0.271949	+	0.0728685i	−0.392216	−	0.919873i	$-0.628292\pi$
$443$	−120.473	+	32.2808i	−0.271949	+	0.0728685i	0.120267	+	0.992742i	$0.461625\pi$
$444$	140.832	+	583.950i	0.317189	+	1.31520i
$445$	−8.29908	+	30.9726i	−0.0186496	+	0.0696013i
$446$	−89.1685	−	797.213i	−0.199929	−	1.78747i
$447$	−73.8395	+	132.094i	−0.165189	+	0.295512i
$448$	534.099	−	77.8417i	1.19219	−	0.173754i
$449$			625.030i			1.39205i	0.718019	+	0.696024i	$0.245049\pi$
$449$			625.030i			1.39205i	−0.718019	+	0.696024i	$0.754951\pi$
$450$	−395.354	−	159.956i	−0.878565	−	0.355458i
$451$	744.954	+	744.954i	1.65178	+	1.65178i
$452$	80.5763	+	355.691i	0.178266	+	0.786928i
$453$	335.118	+	325.944i	0.739775	+	0.719522i
$454$	396.500	+	316.726i	0.873349	+	0.697634i
$455$	62.0013	+	107.389i	0.136267	+	0.236021i
$456$	112.973	−	134.355i	0.247747	−	0.294638i
$457$	−529.407	−	305.653i	−1.15844	−	0.668825i	−0.207509	−	0.978233i	$-0.566536\pi$
$457$	−529.407	−	305.653i	−1.15844	−	0.668825i	−0.950929	+	0.309408i	$0.899869\pi$
$458$	328.386	−	128.574i	0.717001	−	0.280730i
$459$	449.109	−	488.152i	0.978451	−	1.06351i
$460$	−4.88754	+	125.178i	−0.0106251	+	0.272127i
$461$	124.632	+	465.133i	0.270351	+	1.00897i	0.958893	+	0.283768i	$0.0915846\pi$
$461$	124.632	+	465.133i	0.270351	+	1.00897i	−0.688542	+	0.725197i	$0.741749\pi$
$462$	−879.321	+	110.728i	−1.90329	+	0.239670i
$463$	189.959	+	329.019i	0.410280	+	0.710625i	0.994920	−	0.100667i	$-0.0320978\pi$
$463$	189.959	+	329.019i	0.410280	+	0.710625i	−0.584641	+	0.811292i	$0.698764\pi$
$464$	−134.819	+	381.311i	−0.290558	+	0.821791i
$465$	35.7730	−	0.496469i	0.0769311	−	0.00106768i
$466$	−115.640	+	85.2012i	−0.248155	+	0.182835i
$467$	33.7313	−	33.7313i	0.0722297	−	0.0722297i	−0.670069	−	0.742299i	$-0.733736\pi$
$467$	33.7313	−	33.7313i	0.0722297	−	0.0722297i	0.742299	+	0.670069i	$0.233736\pi$
$468$	227.033	+	403.671i	0.485113	+	0.862546i
$469$	−28.5346	+	28.5346i	−0.0608415	+	0.0608415i
$470$	6.70689	−	44.2533i	0.0142700	−	0.0941561i
$471$	−180.689	+	323.241i	−0.383629	+	0.686286i
$472$	−165.189	+	11.9744i	−0.349977	+	0.0253694i
$473$	−361.056	−	625.367i	−0.763331	−	1.32213i
$474$	−36.5563	+	266.078i	−0.0771230	+	0.561346i
$475$	44.8531	+	167.394i	0.0944277	+	0.352409i
$476$	−562.706	−	608.433i	−1.18216	−	1.27822i
$477$	69.1536	+	232.115i	0.144976	+	0.486615i
$478$	−335.506	+	767.287i	−0.701895	+	1.60520i
$479$	−321.891	−	185.844i	−0.672006	−	0.387983i	0.124830	−	0.992178i	$-0.460161\pi$
$479$	−321.891	−	185.844i	−0.672006	−	0.387983i	−0.796836	+	0.604195i	$0.793495\pi$
$480$	50.3146	−	97.5046i	0.104822	−	0.203135i
$481$	321.993	+	557.708i	0.669424	+	1.15948i
$482$	−22.8017	−	203.860i	−0.0473065	−	0.422945i
$483$	−170.124	+	672.082i	−0.352223	+	1.39147i
$484$	−164.173	−	724.717i	−0.339201	−	1.49735i
$485$	155.510	+	155.510i	0.320639	+	0.320639i
$486$	399.840	+	276.268i	0.822716	+	0.568452i
$487$		−	814.447i		−	1.67237i	−0.548444	−	0.836187i	$-0.684780\pi$
$487$		−	814.447i		−	1.67237i	0.548444	−	0.836187i	$-0.315220\pi$
$488$	−181.793	−	268.042i	−0.372526	−	0.549267i
$489$	−73.2774	−	122.948i	−0.149852	−	0.251427i
$490$	31.5626	−	39.5123i	0.0644134	−	0.0806374i
$491$	−175.645	+	655.517i	−0.357729	+	1.33506i	0.519285	+	0.854601i	$0.326198\pi$
$491$	−175.645	+	655.517i	−0.357729	+	1.33506i	−0.877015	+	0.480463i	$0.840468\pi$
$492$	−721.576	−	18.1496i	−1.46662	−	0.0368894i
$493$	599.845	−	160.728i	1.21672	−	0.326020i
$494$	75.3962	−	172.428i	0.152624	−	0.349044i
$495$	−85.7173	+	158.466i	−0.173166	+	0.320134i
$496$	13.0169	−	166.438i	0.0262437	−	0.335561i
$497$	760.489	+	439.069i	1.53016	+	0.883438i
$498$	407.601	+	537.440i	0.818476	+	1.07920i
$499$	174.581	−	651.547i	0.349862	−	1.30570i	−0.536965	−	0.843604i	$-0.680429\pi$
$499$	174.581	−	651.547i	0.349862	−	1.30570i	0.886828	−	0.462100i	$-0.152904\pi$
$500$	103.700	+	196.985i	0.207401	+	0.393970i
$501$	−29.3338	−	103.697i	−0.0585505	−	0.206981i
$502$	−173.444	−	26.2867i	−0.345507	−	0.0523639i
$503$	−176.861			−0.351613			−0.175806	−	0.984425i	$-0.556253\pi$
$503$	−176.861			−0.351613			−0.175806	+	0.984425i	$0.556253\pi$
$504$	384.297	−	470.127i	0.762495	−	0.932792i
$505$		−	50.5626i		−	0.100124i
$506$	−949.043	−	143.834i	−1.87558	−	0.284257i
$507$	−7.51595	−	7.31019i	−0.0148244	−	0.0144185i
$508$	−179.070	+	577.198i	−0.352499	+	1.13622i
$509$	−711.117	−	190.543i	−1.39709	−	0.374348i	−0.519789	−	0.854295i	$-0.673990\pi$
$509$	−711.117	−	190.543i	−1.39709	−	0.374348i	−0.877298	+	0.479946i	$0.840656\pi$
$510$	−167.152	+	21.0485i	−0.327749	+	0.0412715i
$511$	324.805	−	562.579i	0.635626	−	1.10094i
$512$	−431.519	−	275.563i	−0.842811	−	0.538209i
$513$	−8.21926	−	197.311i	−0.0160219	−	0.384621i
$514$	−237.016	+	542.045i	−0.461121	+	1.05456i
$515$	−5.21788	−	19.4734i	−0.0101318	−	0.0378124i
$516$	474.514	+	140.025i	0.919600	+	0.271365i
$517$	331.267	+	88.7629i	0.640749	+	0.171688i
$518$	526.961	−	659.688i	1.01730	−	1.27353i
$519$	9.77879	+	704.608i	0.0188416	+	1.35763i
$520$	22.1502	−	115.525i	0.0425966	−	0.222163i
$521$	206.231			0.395837			0.197918	−	0.980219i	$-0.436582\pi$
$521$	206.231			0.395837			0.197918	+	0.980219i	$0.436582\pi$
$522$	177.579	+	418.914i	0.340190	+	0.802518i
$523$	−53.7664	+	53.7664i	−0.102804	+	0.102804i	−0.756638	−	0.653834i	$-0.773159\pi$
$523$	−53.7664	+	53.7664i	−0.102804	+	0.102804i	0.653834	+	0.756638i	$0.273159\pi$
$524$	224.122	−	355.404i	0.427713	−	0.678252i
$525$	163.172	+	576.826i	0.310804	+	1.09872i
$526$	−52.8410	−	472.426i	−0.100458	−	0.898148i
$527$	−221.996	+	128.170i	−0.421245	+	0.243206i
$528$	699.623	+	466.181i	1.32504	+	0.882919i
$529$	−110.932	+	192.140i	−0.209702	+	0.363214i
$530$	24.6449	−	56.3617i	0.0464998	−	0.106343i
$531$	−128.045	+	135.357i	−0.241139	+	0.254910i
$532$	−246.547	−	9.62633i	−0.463433	−	0.0180946i
$533$	−747.459	+	200.281i	−1.40236	+	0.375762i
$534$	155.879	−	63.5405i	0.291908	−	0.118990i
$535$	32.0444	−	18.5008i	0.0598961	−	0.0345810i
$536$	38.1798	−	2.76761i	0.0712309	−	0.00516345i
$537$	430.610	−	256.645i	0.801880	−	0.477924i
$538$	−133.781	+	882.714i	−0.248664	+	1.64073i
$539$	273.996	+	273.996i	0.508341	+	0.508341i
$540$	−32.2584	−	119.147i	−0.0597378	−	0.220642i
$541$	178.815	+	178.815i	0.330527	+	0.330527i	0.852786	−	0.522260i	$-0.174911\pi$
$541$	178.815	+	178.815i	0.330527	+	0.330527i	−0.522260	+	0.852786i	$0.674911\pi$
$542$	−130.239	+	95.9571i	−0.240293	+	0.177043i
$543$	−453.676	+	270.393i	−0.835499	+	0.497961i
$544$	26.2036	+	785.718i	0.0481684	+	1.44433i
$545$	−193.042	+	111.453i	−0.354206	+	0.204501i
$546$	252.502	−	600.008i	0.462457	−	1.09892i
$547$	406.284	−	108.863i	0.742749	−	0.199019i	0.132449	−	0.991190i	$-0.457716\pi$
$547$	406.284	−	108.863i	0.742749	−	0.199019i	0.610300	+	0.792171i	$0.291049\pi$
$548$	−41.1823	−	44.5288i	−0.0751501	−	0.0812570i
$549$	−354.426	−	84.5000i	−0.645585	−	0.153916i
$550$	−772.856	+	302.599i	−1.40519	+	0.550180i
$551$	92.4423	−	160.115i	0.167772	−	0.290589i
$552$	539.099	−	376.657i	0.976628	−	0.682349i
$553$	326.930	−	188.753i	0.591194	−	0.341326i
$554$	−289.707	−	231.419i	−0.522936	−	0.417723i
$555$	−46.7193	−	165.156i	−0.0841789	−	0.297579i
$556$	213.795	−	339.028i	0.384523	−	0.609762i
$557$	−479.313	+	479.313i	−0.860526	+	0.860526i	−0.991399	−	0.130874i	$-0.958222\pi$
$557$	−479.313	+	479.313i	−0.860526	+	0.860526i	0.130874	+	0.991399i	$0.458222\pi$
$558$	−115.559	−	148.056i	−0.207094	−	0.265333i
$559$	530.400			0.948838
$560$	−151.625	+	28.1790i	−0.270759	+	0.0503196i
$561$	−17.9135	−	1290.76i	−0.0319314	−	2.30081i
$562$	−91.7227	−	820.049i	−0.163208	−	1.45916i
$563$	−515.637	−	138.164i	−0.915874	−	0.245408i	−0.230053	−	0.973178i	$-0.573890\pi$
$563$	−515.637	−	138.164i	−0.915874	−	0.245408i	−0.685821	+	0.727771i	$0.740557\pi$
$564$	−206.379	+	112.330i	−0.365919	+	0.199168i
$565$	−26.9709	−	100.657i	−0.0477361	−	0.178153i
$566$	−698.308	+	273.411i	−1.23376	+	0.483059i
$567$	−37.8999	−	682.059i	−0.0668428	−	1.20293i
$568$	−273.206	−	786.925i	−0.480996	−	1.38543i
$569$	148.902	−	257.906i	0.261691	−	0.453262i	−0.705000	−	0.709207i	$-0.749053\pi$
$569$	148.902	−	257.906i	0.261691	−	0.453262i	0.966691	+	0.255945i	$0.0823865\pi$
$570$	−30.7575	+	39.6197i	−0.0539606	+	0.0695083i
$571$	634.387	+	169.983i	1.11101	+	0.297694i	0.767240	−	0.641360i	$-0.221629\pi$
$571$	634.387	+	169.983i	1.11101	+	0.297694i	0.343770	+	0.939054i	$0.388296\pi$
$572$	860.830	+	267.064i	1.50495	+	0.466894i
$573$	−551.661	−	536.558i	−0.962759	−	0.936402i
$574$	601.798	+	816.796i	1.04843	+	1.42299i
$575$			649.253i			1.12914i
$576$	−567.453	+	98.8565i	−0.985162	+	0.171626i
$577$	−1110.11			−1.92393			−0.961965	−	0.273171i	$-0.911927\pi$
$577$	−1110.11			−1.92393			−0.961965	+	0.273171i	$0.911927\pi$
$578$	506.482	−	373.166i	0.876267	−	0.645615i
$579$	146.216	+	516.884i	0.252532	+	0.892718i
$580$	34.2420	−	110.373i	0.0590379	−	0.190298i
$581$	245.385	−	915.788i	0.422349	−	1.57623i
$582$	157.144	−	1143.79i	0.270007	−	1.96527i
$583$	408.192	+	235.670i	0.700158	+	0.404237i
$584$	−582.135	+	202.106i	−0.996806	+	0.346073i
$585$	−69.3212	−	112.723i	−0.118498	−	0.192689i
$586$	−84.0192	−	214.590i	−0.143377	−	0.366194i
$587$	−283.539	+	75.9739i	−0.483030	+	0.129427i	−0.492113	−	0.870531i	$-0.663775\pi$
$587$	−283.539	+	75.9739i	−0.483030	+	0.129427i	0.00908315	+	0.999959i	$0.497109\pi$
$588$	−265.397	−	6.67546i	−0.451356	−	0.0113528i
$589$	−19.7522	+	73.7164i	−0.0335352	+	0.125155i
$590$	47.0303	−	5.26035i	0.0797124	−	0.00891585i
$591$	259.738	+	435.800i	0.439490	+	0.737394i
$592$	−787.440	+	146.343i	−1.33014	+	0.247200i
$593$		−	682.084i		−	1.15023i	−0.818074	−	0.575113i	$-0.804958\pi$
$593$		−	682.084i		−	1.15023i	0.818074	−	0.575113i	$-0.195042\pi$
$594$	934.750	−	144.162i	1.57365	−	0.242697i
$595$	167.443	+	167.443i	0.281418	+	0.281418i
$596$	−170.673	−	107.628i	−0.286364	−	0.180584i
$597$	74.2978	−	293.517i	0.124452	−	0.491653i
$598$	440.036	−	550.868i	0.735846	−	0.921185i
$599$	149.962	+	259.742i	0.250355	+	0.433627i	0.963623	−	0.267264i	$-0.0861195\pi$
$599$	149.962	+	259.742i	0.250355	+	0.433627i	−0.713269	+	0.700891i	$0.752786\pi$
$600$	240.850	−	515.124i	0.401417	−	0.858540i
$601$	262.562	+	151.590i	0.436875	+	0.252230i	0.702271	−	0.711909i	$-0.252169\pi$
$601$	262.562	+	151.590i	0.436875	+	0.252230i	−0.265396	+	0.964139i	$0.585503\pi$
$602$	−253.532	−	647.535i	−0.421149	−	1.07564i
$603$	29.5947	−	31.2848i	0.0490791	−	0.0518820i
$604$	−457.610	+	423.219i	−0.757633	+	0.700693i
$605$	54.9529	+	205.087i	0.0908312	+	0.338987i
$606$	−211.493	+	160.399i	−0.348998	+	0.264684i
$607$	−220.046	−	381.131i	−0.362514	−	0.627893i	0.625860	−	0.779936i	$-0.284748\pi$
$607$	−220.046	−	381.131i	−0.362514	−	0.627893i	−0.988374	+	0.152043i	$0.951415\pi$
$608$	170.925	+	159.892i	0.281126	+	0.262980i
$609$	312.051	−	558.238i	0.512399	−	0.916648i
$610$	54.8925	+	74.5033i	0.0899877	+	0.122137i
$611$	−178.123	+	178.123i	−0.291527	+	0.291527i
$612$	618.295	+	632.390i	1.01029	+	1.03332i
$613$	452.991	−	452.991i	0.738974	−	0.738974i	−0.233406	−	0.972379i	$-0.574987\pi$
$613$	452.991	−	452.991i	0.738974	−	0.738974i	0.972379	+	0.233406i	$0.0749870\pi$
$614$	494.813	+	74.9923i	0.805885	+	0.122137i
$615$	206.223	−	2.86203i	0.335321	−	0.00465370i
$616$	−85.4352	−	1178.60i	−0.138693	−	1.91330i
$617$	460.040	+	796.812i	0.745607	+	1.29143i	0.949911	+	0.312522i	$0.101174\pi$
$617$	460.040	+	796.812i	0.745607	+	1.29143i	−0.204304	+	0.978908i	$0.565493\pi$
$618$	−64.9005	+	83.6003i	−0.105017	+	0.135276i
$619$	15.3869	+	57.4248i	0.0248577	+	0.0927704i	0.977240	−	0.212135i	$-0.0680417\pi$
$619$	15.3869	+	57.4248i	0.0248577	+	0.0927704i	−0.952383	+	0.304906i	$0.901375\pi$
$620$	−1.86109	+	47.6656i	−0.00300175	+	0.0768799i
$621$	161.578	−	721.992i	0.260190	−	1.16263i
$622$	603.203	+	263.758i	0.969779	+	0.424049i
$623$	−204.905	−	118.302i	−0.328900	−	0.189891i
$624$	−553.482	+	273.827i	−0.886991	+	0.438825i
$625$	264.368	+	457.898i	0.422988	+	0.732637i
$626$	−276.448	+	30.9208i	−0.441610	+	0.0493942i
$627$	−275.499	−	267.957i	−0.439392	−	0.427363i
$628$	−417.645	−	263.372i	−0.665040	−	0.419381i
$629$	869.589	+	869.589i	1.38249	+	1.38249i
$630$	−104.482	+	138.512i	−0.165844	+	0.219860i
$631$		−	560.050i		−	0.887559i	−0.896136	−	0.443780i	$-0.853637\pi$
$631$		−	560.050i		−	0.887559i	0.896136	−	0.443780i	$-0.146363\pi$
$632$	−351.697	−	67.4330i	−0.556483	−	0.106698i
$633$	−166.774	+	298.348i	−0.263467	+	0.471324i
$634$	−162.714	−	129.977i	−0.256647	−	0.205011i
$635$	44.6925	−	166.795i	0.0703818	−	0.262669i
$636$	−313.930	+	75.7108i	−0.493600	+	0.119042i
$637$	−274.917	+	73.6638i	−0.431581	+	0.115642i
$638$	811.300	+	354.751i	1.27163	+	0.556037i
$639$	−824.267	−	445.861i	−1.28993	−	0.697748i
$640$	126.277	+	73.8667i	0.197308	+	0.115417i
$641$	76.6169	+	44.2348i	0.119527	+	0.0690090i	0.558572	−	0.829456i	$-0.311350\pi$
$641$	76.6169	+	44.2348i	0.119527	+	0.0690090i	−0.439044	+	0.898465i	$0.644683\pi$
$642$	−179.039	−	75.3451i	−0.278877	−	0.117360i
$643$	−16.6863	+	62.2743i	−0.0259508	+	0.0968496i	−0.977687	−	0.210069i	$-0.932631\pi$
$643$	−16.6863	+	62.2743i	−0.0259508	+	0.0968496i	0.951736	+	0.306918i	$0.0992979\pi$
$644$	−882.861	−	273.899i	−1.37090	−	0.425308i
$645$	−137.041	−	34.6892i	−0.212467	−	0.0537818i
$646$	53.8512	−	355.320i	0.0833610	−	0.550032i
$647$	−245.534			−0.379496			−0.189748	−	0.981833i	$-0.560767\pi$
$647$	−245.534			−0.379496			−0.189748	+	0.981833i	$0.560767\pi$
$648$	−396.032	+	512.896i	−0.611161	+	0.791507i
$649$			362.606i			0.558715i
$650$	91.3509	−	602.750i	0.140540	−	0.927308i
$651$	−64.7800	+	255.916i	−0.0995085	+	0.393113i
$652$	168.867	−	88.8983i	0.258999	−	0.136347i
$653$	703.395	+	188.474i	1.07717	+	0.288628i	0.753438	−	0.657519i	$-0.228394\pi$
$653$	703.395	+	188.474i	1.07717	+	0.288628i	0.323737	+	0.946147i	$0.395061\pi$
$654$	1078.57	+	453.895i	1.64919	+	0.694029i
$655$	−60.0280	+	103.971i	−0.0916457	+	0.158735i
$656$	75.0392	−	959.475i	0.114389	−	1.46261i
$657$	−329.829	+	609.759i	−0.502024	+	0.928095i
$658$	302.603	+	132.317i	0.459883	+	0.201090i
$659$	−272.713	−	1017.78i	−0.413829	−	1.54443i	−0.787170	−	0.616736i	$-0.788455\pi$
$659$	−272.713	−	1017.78i	−0.413829	−	1.54443i	0.373341	−	0.927694i	$-0.378212\pi$
$660$	−204.949	−	125.302i	−0.310529	−	0.189852i
$661$	−1137.07	−	304.676i	−1.72022	−	0.460932i	−0.742328	−	0.670037i	$-0.766278\pi$
$661$	−1137.07	−	304.676i	−1.72022	−	0.460932i	−0.977893	+	0.209105i	$0.932945\pi$
$662$	1027.62	+	820.869i	1.55230	+	1.23998i
$663$	827.637	+	462.643i	1.24832	+	0.697803i
$664$	−744.321	+	504.816i	−1.12097	+	0.760266i
$665$	70.4999			0.106015
$666$	−542.607	+	719.339i	−0.814725	+	1.08009i
$667$	489.782	−	489.782i	0.734306	−	0.734306i
$668$	140.138	−	31.7460i	0.209787	−	0.0475240i
$669$	838.956	−	862.571i	1.25405	−	1.28934i
$670$	−10.8700	+	1.21581i	−0.0162239	+	0.00181465i
$671$	−614.080	+	354.539i	−0.915171	+	0.528374i
$672$	598.865	+	544.825i	0.891168	+	0.810752i
$673$	409.832	−	709.850i	0.608963	−	1.05475i	−0.382449	−	0.923977i	$-0.624919\pi$
$673$	409.832	−	709.850i	0.608963	−	1.05475i	0.991412	−	0.130778i	$-0.0417476\pi$
$674$	736.443	+	322.019i	1.09265	+	0.477774i
$675$	−191.149	−	610.505i	−0.283184	−	0.904452i
$676$	10.2632	−	9.49185i	0.0151822	−	0.0140412i
$677$	206.275	−	55.2712i	0.304690	−	0.0816414i	−0.103235	−	0.994657i	$-0.532919\pi$
$677$	206.275	−	55.2712i	0.304690	−	0.0816414i	0.407925	+	0.913016i	$0.366253\pi$
$678$	−335.467	+	432.125i	−0.494789	+	0.637352i
$679$	−1405.37	+	811.391i	−2.06977	+	1.19498i
$680$	−16.2406	−	224.042i	−0.0238832	−	0.329473i
$681$	10.5633	+	761.135i	0.0155114	+	1.11767i
$682$	−361.378	−	54.7693i	−0.529880	−	0.0803069i
$683$	−800.890	−	800.890i	−1.17261	−	1.17261i	−0.981586	−	0.191020i	$-0.938821\pi$
$683$	−800.890	−	800.890i	−1.17261	−	1.17261i	−0.191020	−	0.981586i	$-0.561179\pi$
$684$	263.292	+	2.96742i	0.384930	+	0.00433833i
$685$	12.2545	+	12.2545i	0.0178898	+	0.0178898i
$686$	−268.897	−	364.963i	−0.391979	−	0.532017i
$687$	461.745	+	258.112i	0.672118	+	0.375709i
$688$	−219.893	+	621.928i	−0.319612	+	0.903964i
$689$	−299.822	+	173.103i	−0.435156	+	0.251237i
$690$	−149.722	+	113.551i	−0.216988	+	0.164566i
$691$	−73.8482	+	19.7876i	−0.106872	+	0.0286361i	−0.311858	−	0.950129i	$-0.600951\pi$
$691$	−73.8482	+	19.7876i	−0.106872	+	0.0286361i	0.204987	+	0.978765i	$0.434285\pi$
$692$	−938.853	−	36.6572i	−1.35672	−	0.0529728i
$693$	−965.752	−	913.578i	−1.39358	−	1.31829i
$694$	−83.0733	−	212.174i	−0.119702	−	0.305726i
$695$	−57.2620	+	99.1807i	−0.0823914	+	0.142706i
$696$	−570.291	+	206.906i	−0.819383	+	0.297279i
$697$	−1279.75	+	738.867i	−1.83609	+	1.06007i
$698$	809.229	−	1013.05i	1.15935	−	1.45136i
$699$	−208.869	−	52.8710i	−0.298812	−	0.0756380i
$700$	−779.529	+	176.590i	−1.11361	+	0.252272i
$701$	173.626	−	173.626i	0.247683	−	0.247683i	−0.572336	−	0.820019i	$-0.693963\pi$
$701$	173.626	−	173.626i	0.247683	−	0.247683i	0.820019	+	0.572336i	$0.193963\pi$
$702$	−251.591	+	647.545i	−0.358391	+	0.922429i
$703$	366.129			0.520810
$704$	−670.032	+	898.658i	−0.951749	+	1.27650i
$705$	57.6718	−	34.3726i	0.0818040	−	0.0487555i
$706$	130.264	−	14.5701i	0.184510	−	0.0206375i
$707$	360.380	+	96.5635i	0.509731	+	0.136582i
$708$	−171.196	−	180.031i	−0.241803	−	0.254281i
$709$	−119.642	−	446.509i	−0.168747	−	0.629773i	−0.997532	−	0.0702063i	$-0.977634\pi$
$709$	−119.642	−	446.509i	−0.168747	−	0.629773i	0.828785	−	0.559567i	$-0.189032\pi$
$710$	86.7767	+	221.633i	0.122221	+	0.312159i
$711$	−343.168	+	211.038i	−0.482655	+	0.296818i
$712$	73.6121	+	212.028i	0.103388	+	0.297792i
$713$	−142.958	+	247.610i	−0.200502	+	0.347279i
$714$	169.203	−	1231.56i	0.236979	−	1.72487i
$715$	−248.757	−	66.6541i	−0.347911	−	0.0932226i
$716$	311.355	+	591.437i	0.434854	+	0.826030i
$717$	−1208.72	+	341.921i	−1.68580	+	0.476878i
$718$	420.078	−	309.505i	0.585067	−	0.431065i
$719$			568.940i			0.791293i	0.918403	+	0.395646i	$0.129479\pi$
$719$			568.940i			0.791293i	−0.918403	+	0.395646i	$0.870521\pi$
$720$	160.914	−	34.5508i	0.223492	−	0.0479872i
$721$	148.760			0.206324
$722$	364.801	+	495.130i	0.505265	+	0.685775i
$723$	214.534	−	220.572i	0.296727	−	0.305079i
$724$	−328.033	−	623.118i	−0.453085	−	0.860661i
$725$	155.012	−	578.514i	0.213810	−	0.797951i
$726$	683.509	−	880.449i	0.941473	−	1.21274i
$727$	885.287	+	511.121i	1.21773	+	0.703054i	0.964431	−	0.264335i	$-0.0851523\pi$
$727$	885.287	+	511.121i	1.21773	+	0.703054i	0.253295	+	0.967389i	$0.418486\pi$
$728$	781.089	+	378.501i	1.07292	+	0.519919i
$729$	60.6299	+	726.474i	0.0831685	+	0.996535i
$730$	163.955	−	64.1938i	0.224596	−	0.0879367i
$731$	978.363	−	262.151i	1.33839	−	0.358620i
$732$	137.497	−	465.949i	0.187838	−	0.636543i
$733$	162.727	−	607.305i	0.222001	−	0.828520i	−0.761583	−	0.648068i	$-0.775577\pi$
$733$	162.727	−	607.305i	0.222001	−	0.828520i	0.983584	−	0.180452i	$-0.0577560\pi$
$734$	153.373	+	1371.23i	0.208955	+	1.86816i
$735$	75.8491	−	1.05266i	0.103196	−	0.00143219i
$736$	463.498	+	744.348i	0.629753	+	1.01134i
$737$		−	83.8084i		−	0.113716i
$738$	−666.167	−	853.507i	−0.902666	−	1.15651i
$739$	−48.5224	−	48.5224i	−0.0656596	−	0.0656596i	0.673514	−	0.739174i	$-0.264784\pi$
$739$	−48.5224	−	48.5224i	−0.0656596	−	0.0656596i	−0.739174	+	0.673514i	$0.764784\pi$
$740$	223.194	−	50.5612i	0.301614	−	0.0683259i
$741$	271.628	−	76.8379i	0.366569	−	0.103695i
$742$	354.646	+	283.293i	0.477960	+	0.381796i
$743$	74.9728	+	129.857i	0.100906	+	0.174774i	0.912058	−	0.410061i	$-0.134493\pi$
$743$	74.9728	+	129.857i	0.100906	+	0.174774i	−0.811152	+	0.584835i	$0.801159\pi$
$744$	205.279	−	143.424i	0.275913	−	0.192774i
$745$	49.9293	+	28.8267i	0.0670192	+	0.0386936i
$746$	−149.683	+	58.6061i	−0.200648	+	0.0785604i
$747$	−234.646	+	984.198i	−0.314118	+	1.31753i
$748$	1719.86	+	67.1515i	2.29928	+	0.0897747i
$749$	70.6652	+	263.726i	0.0943460	+	0.352104i
$750$	−129.522	+	307.777i	−0.172696	+	0.410370i
$751$	582.058	+	1008.15i	0.775044	+	1.34241i	0.934770	+	0.355254i	$0.115605\pi$
$751$	582.058	+	1008.15i	0.775044	+	1.34241i	−0.159726	+	0.987161i	$0.551061\pi$
$752$	−135.014	−	282.706i	−0.179540	−	0.375939i
$753$	−134.718	−	226.036i	−0.178909	−	0.300181i
$754$	−523.615	+	385.789i	−0.694449	+	0.511656i
$755$	125.936	−	125.936i	0.166803	−	0.166803i
$756$	910.812	−	2.37494i	1.20478	−	0.00314145i
$757$	679.924	−	679.924i	0.898183	−	0.898183i	−0.0970928	−	0.995275i	$-0.530954\pi$
$757$	679.924	−	679.924i	0.898183	−	0.898183i	0.995275	+	0.0970928i	$0.0309544\pi$
$758$	66.2633	−	437.218i	0.0874186	−	0.576805i
$759$	−737.144	−	1236.81i	−0.971205	−	1.62953i
$760$	−50.5839	−	43.7460i	−0.0665577	−	0.0575605i
$761$	−31.6684	−	54.8512i	−0.0416142	−	0.0720778i	0.844468	−	0.535606i	$-0.179917\pi$
$761$	−31.6684	−	54.8512i	−0.0416142	−	0.0720778i	−0.886082	+	0.463528i	$0.846583\pi$
$762$	−839.444	+	342.180i	−1.10163	+	0.449055i
$763$	−425.702	−	1588.74i	−0.557931	−	2.08223i
$764$	753.304	−	696.690i	0.986000	−	0.911897i
$765$	−183.582	−	173.664i	−0.239976	−	0.227012i
$766$	−320.503	+	732.976i	−0.418412	+	0.956888i
$767$	−230.656	−	133.169i	−0.300725	−	0.173624i
$768$	−91.6167	−	762.516i	−0.119293	−	0.992859i
$769$	−74.6832	−	129.355i	−0.0971172	−	0.168212i	0.813373	−	0.581742i	$-0.197629\pi$
$769$	−74.6832	−	129.355i	−0.0971172	−	0.168212i	−0.910490	+	0.413530i	$0.864296\pi$
$770$	37.5317	+	335.553i	0.0487425	+	0.435784i
$771$	−853.892	+	241.548i	−1.10751	+	0.313292i
$772$	−698.523	+	158.240i	−0.904823	+	0.204974i
$773$	−1027.81	−	1027.81i	−1.32964	−	1.32964i	−0.905680	−	0.423962i	$-0.860639\pi$
$773$	−1027.81	−	1027.81i	−1.32964	−	1.32964i	−0.423962	−	0.905680i	$-0.639361\pi$
$774$	289.636	+	683.260i	0.374207	+	0.882764i
$775$			247.224i			0.318998i
$776$	1511.83	+	289.873i	1.94824	+	0.373548i
$777$	1266.36	−	17.5750i	1.62980	−	0.0226190i
$778$	−215.250	+	269.466i	−0.276671	+	0.346357i
$779$	−113.867	+	424.957i	−0.146171	+	0.545516i
$780$	154.975	−	84.3516i	0.198685	−	0.108143i
$781$	−1761.60	+	472.018i	−2.25556	+	0.604377i
$782$	539.410	−	1233.61i	0.689783	−	1.57750i
$783$	−316.353	+	604.751i	−0.404027	+	0.772351i
$784$	27.5996	−	352.897i	0.0352036	−	0.450124i
$785$	122.180	+	70.5405i	0.155643	+	0.0898605i
$786$	625.316	−	78.7424i	0.795568	−	0.100181i
$787$	−130.841	+	488.305i	−0.166253	+	0.620464i	0.831624	+	0.555339i	$0.187411\pi$
$787$	−130.841	+	488.305i	−0.166253	+	0.620464i	−0.997877	+	0.0651255i	$0.979255\pi$
$788$	−598.566	+	315.108i	−0.759601	+	0.399883i
$789$	497.163	−	511.156i	0.630117	−	0.647853i
$790$	101.166	+	15.3324i	0.128059	+	0.0194081i
$791$	768.930			0.972098
$792$	126.044	+	1254.75i	0.159146	+	1.58429i
$793$		−	520.827i		−	0.656781i
$794$	483.044	+	73.2086i	0.608368	+	0.0922023i
$795$	88.7875	−	25.1162i	0.111682	−	0.0315927i
$796$	385.570	+	119.619i	0.484385	+	0.150275i
$797$	145.625	+	39.0202i	0.182717	+	0.0489588i	0.349017	−	0.937116i	$-0.386515\pi$
$797$	145.625	+	39.0202i	0.182717	+	0.0489588i	−0.166300	+	0.986075i	$0.553182\pi$
$798$	−223.645	−	294.886i	−0.280257	−	0.369532i
$799$	−240.523	+	416.598i	−0.301030	+	0.521399i
$800$	668.891	+	357.003i	0.836113	+	0.446253i
$801$	222.089	+	120.132i	0.277265	+	0.149977i
$802$	−253.011	+	578.624i	−0.315475	+	0.721476i
$803$	349.180	+	1303.16i	0.434844	+	1.62286i
$804$	39.5682	+	41.6101i	0.0492142	+	0.0517538i
$805$	255.123	+	68.3600i	0.316923	+	0.0849193i
$806$	167.557	−	209.761i	0.207888	−	0.260249i
$807$	−1150.37	+	685.626i	−1.42549	+	0.849598i
$808$	−198.655	−	292.904i	−0.245860	−	0.362505i
$809$	−319.121			−0.394463			−0.197232	−	0.980357i	$-0.563195\pi$
$809$	−319.121			−0.394463			−0.197232	+	0.980357i	$0.563195\pi$
$810$	107.355	−	150.854i	0.132537	−	0.186240i
$811$	−862.881	+	862.881i	−1.06397	+	1.06397i	−0.0661630	+	0.997809i	$0.521076\pi$
$811$	−862.881	+	862.881i	−1.06397	+	1.06397i	−0.997809	+	0.0661630i	$0.978924\pi$
$812$	721.276	+	454.844i	0.888271	+	0.560153i
$813$	−235.237	−	59.5455i	−0.289345	−	0.0732417i
$814$	194.915	+	1742.64i	0.239453	+	2.14083i
$815$	−47.2231	+	27.2642i	−0.0579424	+	0.0334531i
$816$	−885.600	+	778.654i	−1.08529	+	0.954233i
$817$	150.776	−	261.151i	0.184548	−	0.319646i
$818$	−332.316	+	759.992i	−0.406255	+	0.929085i
$819$	935.811	−	278.804i	1.14263	−	0.340420i
$820$	−10.7287	+	274.781i	−0.0130838	+	0.335098i
$821$	827.658	−	221.770i	1.00811	−	0.270122i	0.283270	−	0.959040i	$-0.408581\pi$
$821$	827.658	−	221.770i	1.00811	−	0.270122i	0.724839	+	0.688918i	$0.241914\pi$
$822$	12.3833	−	90.1329i	0.0150649	−	0.109651i
$823$	822.077	−	474.626i	0.998878	−	0.576702i	0.0909619	−	0.995854i	$-0.471006\pi$
$823$	822.077	−	474.626i	0.998878	−	0.576702i	0.907916	+	0.419152i	$0.137673\pi$
$824$	−106.735	−	92.3070i	−0.129533	−	0.112023i
$825$	−1086.71	−	607.466i	−1.31723	−	0.736322i
$826$	−52.3250	+	345.250i	−0.0633475	+	0.417979i
$827$	451.846	+	451.846i	0.546367	+	0.546367i	0.925388	−	0.379021i	$-0.123739\pi$
$827$	451.846	+	451.846i	0.546367	+	0.546367i	−0.379021	+	0.925388i	$0.623739\pi$
$828$	949.918	+	266.039i	1.14724	+	0.321303i
$829$	−391.029	−	391.029i	−0.471687	−	0.471687i	0.430773	−	0.902460i	$-0.358241\pi$
$829$	−391.029	−	391.029i	−0.471687	−	0.471687i	−0.902460	+	0.430773i	$0.858241\pi$
$830$	206.887	−	152.430i	0.249261	−	0.183650i
$831$	−7.71816	−	556.130i	−0.00928780	−	0.669230i
$832$	−325.569	−	756.250i	−0.391309	−	0.908954i
$833$	−470.697	+	271.757i	−0.565062	+	0.326239i
$834$	596.503	−	75.1141i	0.715231	−	0.0900648i
$835$	−39.6574	+	10.6262i	−0.0474939	+	0.0127260i
$836$	376.199	−	347.926i	0.449999	−	0.416180i
$837$	61.5260	−	274.921i	0.0735077	−	0.328460i
$838$	641.830	−	251.298i	0.765907	−	0.299879i
$839$	−56.5650	+	97.9735i	−0.0674196	+	0.116774i	−0.897765	−	0.440475i	$-0.854810\pi$
$839$	−56.5650	+	97.9735i	−0.0674196	+	0.116774i	0.830345	+	0.557249i	$0.188143\pi$
$840$	−177.058	−	148.879i	−0.210783	−	0.177237i
$841$	174.971	−	101.019i	0.208051	−	0.120118i
$842$	−731.170	−	584.061i	−0.868373	−	0.693659i
$843$	862.988	−	887.278i	1.02371	−	1.05252i
$844$	−385.482	−	243.089i	−0.456733	−	0.288020i
$845$	−2.82447	+	2.82447i	−0.00334257	+	0.00334257i
$846$	−326.725	−	132.189i	−0.386199	−	0.156252i
$847$	−1566.68			−1.84969
$848$	−78.6734	−	423.325i	−0.0927752	−	0.499205i
$849$	−981.893	−	548.871i	−1.15653	−	0.646492i
$850$	−129.407	−	1156.97i	−0.152244	−	1.36114i
$851$	1324.94	+	355.016i	1.55692	+	0.417175i
$852$	651.763	−	1066.05i	0.764980	−	1.25123i
$853$	220.881	+	824.340i	0.258946	+	0.966401i	0.965852	+	0.259093i	$0.0834238\pi$
$853$	220.881	+	824.340i	0.258946	+	0.966401i	−0.706906	+	0.707308i	$0.749910\pi$
$854$	−635.848	+	248.956i	−0.744553	+	0.291517i
$855$	−75.2069	+	2.08789i	−0.0879612	+	0.00244198i
$856$	112.943	−	233.073i	0.131942	−	0.272281i
$857$	−207.114	+	358.733i	−0.241674	+	0.418591i	−0.961191	−	0.275883i	$-0.911030\pi$
$857$	−207.114	+	358.733i	−0.241674	+	0.418591i	0.719517	+	0.694474i	$0.244363\pi$
$858$	510.326	+	1251.94i	0.594785	+	1.45914i
$859$	−800.433	−	214.475i	−0.931819	−	0.249680i	−0.239189	−	0.970973i	$-0.576882\pi$
$859$	−800.433	−	214.475i	−0.931819	−	0.249680i	−0.692630	+	0.721293i	$0.743548\pi$
$860$	55.8495	−	180.021i	0.0649413	−	0.209326i
$861$	−373.441	+	1475.30i	−0.433730	+	1.71347i
$862$	−2.05258	−	2.78588i	−0.00238119	−	0.00323188i
$863$		−	435.675i		−	0.504838i	−0.967618	−	0.252419i	$-0.918774\pi$
$863$		−	435.675i		−	0.504838i	0.967618	−	0.252419i	$-0.0812261\pi$
$864$	−654.983	−	563.465i	−0.758083	−	0.652158i
$865$	268.465			0.310364
$866$	−20.5537	+	15.1436i	−0.0237341	+	0.0174868i
$867$	914.809	+	231.565i	1.05514	+	0.267088i
$868$	−336.177	−	104.296i	−0.387301	−	0.120156i
$869$	−202.918	+	757.301i	−0.233508	+	0.871463i
$870$	160.520	−	65.4322i	0.184505	−	0.0752094i
$871$	53.3111	+	30.7792i	0.0612068	+	0.0353377i
$872$	−680.389	+	1404.08i	−0.780263	+	1.61018i
$873$	1475.17	−	907.185i	1.68977	−	1.03916i
$874$	−146.141	−	373.253i	−0.167210	−	0.427063i
$875$	453.359	−	121.477i	0.518124	−	0.138831i
$876$	−788.620	−	482.147i	−0.900251	−	0.550397i
$877$	−10.0208	+	37.3983i	−0.0114263	+	0.0426434i	−0.971404	−	0.237434i	$-0.923694\pi$
$877$	−10.0208	+	37.3983i	−0.0114263	+	0.0426434i	0.959977	+	0.280078i	$0.0903602\pi$
$878$	−1004.33	+	112.334i	−1.14388	+	0.127943i
$879$	168.668	−	301.735i	0.191886	−	0.343271i
$880$	181.286	−	264.049i	0.206006	−	0.300056i
$881$		−	671.668i		−	0.762392i	−0.924494	−	0.381196i	$-0.875512\pi$
$881$		−	671.668i		−	0.762392i	0.924494	−	0.381196i	$-0.124488\pi$
$882$	−245.018	−	313.922i	−0.277798	−	0.355920i
$883$	191.599	+	191.599i	0.216986	+	0.216986i	0.807227	−	0.590241i	$-0.200967\pi$
$883$	191.599	+	191.599i	0.216986	+	0.216986i	−0.590241	+	0.807227i	$0.700967\pi$
$884$	−674.346	+	1069.35i	−0.762835	+	1.20968i
$885$	50.8860	+	49.4929i	0.0574983	+	0.0559242i
$886$	155.686	−	194.899i	0.175718	−	0.219976i
$887$	352.819	+	611.101i	0.397767	+	0.688952i	0.993450	−	0.114267i	$-0.0364519\pi$
$887$	352.819	+	611.101i	0.397767	+	0.688952i	−0.595683	+	0.803219i	$0.703119\pi$
$888$	−919.521	−	773.180i	−1.03550	−	0.870698i
$889$	1103.46	+	637.082i	1.24124	+	0.716628i
$890$	−23.3810	−	59.7163i	−0.0262707	−	0.0670970i
$891$	1057.29	+	945.972i	1.18663	+	1.06170i
$892$	1089.34	+	1177.86i	1.22123	+	1.32047i
$893$	37.0671	+	138.336i	0.0415085	+	0.154912i
$894$	−37.8138	−	300.290i	−0.0422973	−	0.335895i
$895$	−95.4896	−	165.393i	−0.106692	−	0.184797i
$896$	−767.639	+	758.957i	−0.856740	+	0.847050i
$897$	1057.46	−	14.6759i	1.17889	−	0.0163610i
$898$	−741.493	−	1006.40i	−0.825716	−	1.12071i
$899$	186.500	−	186.500i	0.207453	−	0.207453i
$900$	826.345	−	211.467i	0.918161	−	0.234963i
$901$	−467.488	+	467.488i	−0.518855	+	0.518855i
$902$	−2083.26	−	315.732i	−2.30960	−	0.350035i
$903$	508.964	−	910.501i	0.563636	−	1.00831i
$904$	−551.709	−	477.129i	−0.610297	−	0.527798i
$905$	100.605	+	174.252i	0.111165	+	0.192544i
$906$	−926.271	−	127.260i	−1.02237	−	0.140463i
$907$	−45.3592	−	169.283i	−0.0500102	−	0.186641i	0.936402	−	0.350929i	$-0.114134\pi$
$907$	−45.3592	−	169.283i	−0.0500102	−	0.186641i	−0.986412	+	0.164288i	$0.947467\pi$
$908$	−1014.17	−	39.5980i	−1.11693	−	0.0436101i
$909$	−387.300	−	92.3377i	−0.426073	−	0.101582i
$910$	−227.232	−	99.3600i	−0.249705	−	0.109187i
$911$	−981.748	−	566.813i	−1.07766	−	0.622187i	−0.147396	−	0.989078i	$-0.547089\pi$
$911$	−981.748	−	566.813i	−1.07766	−	0.622187i	−0.930264	+	0.366890i	$0.880422\pi$
$912$	−22.5141	+	350.356i	−0.0246865	+	0.384163i
$913$	984.513	+	1705.23i	1.07833	+	1.86772i
$914$	1215.04	−	135.902i	1.32936	−	0.148689i
$915$	−34.0631	+	134.568i	−0.0372275	+	0.147069i
$916$	−376.223	+	596.601i	−0.410723	+	0.651311i
$917$	−626.406	−	626.406i	−0.683104	−	0.683104i
$918$	−144.027	+	1318.79i	−0.156892	+	1.43660i
$919$		−	936.456i		−	1.01899i	−0.860472	−	0.509497i	$-0.829831\pi$
$919$		−	936.456i		−	1.01899i	0.860472	−	0.509497i	$-0.170169\pi$
$920$	−140.633	−	207.355i	−0.152862	−	0.225386i
$921$	384.334	+	644.850i	0.417300	+	0.700163i
$922$	−752.480	−	601.083i	−0.816138	−	0.651934i
$923$	346.703	−	1293.91i	0.375627	−	1.40186i
$924$	1284.49	−	1221.46i	1.39014	−	1.32192i
$925$	1145.64	−	306.973i	1.23853	−	0.331863i
$926$	−696.192	−	304.419i	−0.751827	−	0.328746i
$927$	−158.692	+	4.40560i	−0.171188	+	0.00475254i
$928$	−235.281	−	773.912i	−0.253536	−	0.833956i
$929$	−269.952	−	155.857i	−0.290584	−	0.167769i	0.347621	−	0.937635i	$-0.386990\pi$
$929$	−269.952	−	155.857i	−0.290584	−	0.167769i	−0.638205	+	0.769866i	$0.720323\pi$
$930$	−57.0112	+	43.2380i	−0.0613024	+	0.0464925i
$931$	−41.8805	+	156.300i	−0.0449844	+	0.167884i
$932$	85.1221	−	274.375i	0.0913327	−	0.294394i
$933$	268.802	+	950.234i	0.288105	+	1.01847i
$934$	−14.2962	+	94.3292i	−0.0153065	+	0.100995i
$935$	−491.794			−0.525983
$936$	−844.448	−	380.639i	−0.902188	−	0.406666i
$937$			630.362i			0.672745i	0.941729	+	0.336372i	$0.109200\pi$
$937$			630.362i			0.672745i	−0.941729	+	0.336372i	$0.890800\pi$
$938$	12.0938	−	79.7969i	0.0128931	−	0.0850714i
$939$	−299.112	−	290.923i	−0.318543	−	0.309822i
$940$	41.7000	+	79.2116i	0.0443617	+	0.0842676i
$941$	170.247	+	45.6174i	0.180921	+	0.0484776i	0.348142	−	0.937442i	$-0.386813\pi$
$941$	170.247	+	45.6174i	0.180921	+	0.0484776i	−0.167221	+	0.985919i	$0.553479\pi$
$942$	−92.5323	−	734.827i	−0.0982297	−	0.780071i
$943$	−824.117	+	1427.41i	−0.873931	+	1.51369i
$944$	251.775	−	215.250i	0.266711	−	0.228019i
$945$	−260.023	+	10.8316i	−0.275157	+	0.0114621i
$946$	1323.25	+	578.609i	1.39879	+	0.611637i
$947$	−345.338	−	1288.82i	−0.364665	−	1.36095i	−0.867874	−	0.496784i	$-0.834514\pi$
$947$	−345.338	−	1288.82i	−0.364665	−	1.36095i	0.503210	−	0.864164i	$-0.332152\pi$
$948$	−256.795	−	471.796i	−0.270881	−	0.497675i
$949$	−957.185	−	256.477i	−1.00862	−	0.270260i
$950$	−270.806	−	216.321i	−0.285059	−	0.227706i
$951$	−4.33492	−	312.351i	−0.00455828	−	0.328445i
$952$	1627.85	+	312.118i	1.70993	+	0.327855i
$953$	−262.164			−0.275093			−0.137546	−	0.990495i	$-0.543922\pi$
$953$	−262.164			−0.275093			−0.137546	+	0.990495i	$0.543922\pi$
$954$	−386.714	−	291.704i	−0.405361	−	0.305769i
$955$	−207.313	+	207.313i	−0.217081	+	0.217081i
$956$	−370.039	−	1633.48i	−0.387070	−	1.70866i
$957$	361.535	+	1278.05i	0.377779	+	1.33548i
$958$	738.768	−	82.6314i	0.771157	−	0.0862541i
$959$	−110.746	+	63.9395i	−0.115481	+	0.0666731i
$960$	34.6583	+	216.688i	0.0361024	+	0.225717i
$961$	426.064	−	737.965i	0.443355	−	0.767914i
$962$	−1180.09	−	516.009i	−1.22670	−	0.536392i
$963$	−83.1935	−	279.241i	−0.0863900	−	0.289970i
$964$	278.560	+	301.196i	0.288962	+	0.312444i
$965$	197.674	−	52.9667i	0.204844	−	0.0548878i
$966$	−523.386	−	1283.98i	−0.541808	−	1.32917i
$967$	975.397	−	563.145i	1.00868	−	0.582363i	0.0978773	−	0.995198i	$-0.468795\pi$
$967$	975.397	−	563.145i	1.00868	−	0.582363i	0.910806	+	0.412835i	$0.135461\pi$
$968$	1124.10	+	972.146i	1.16126	+	1.00428i
$969$	463.060	−	275.986i	0.477875	−	0.284815i
$970$	−434.882	−	65.9093i	−0.448332	−	0.0679477i
$971$	−657.210	−	657.210i	−0.676839	−	0.676839i	0.282445	−	0.959284i	$-0.408855\pi$
$971$	−657.210	−	657.210i	−0.676839	−	0.676839i	−0.959284	+	0.282445i	$0.908855\pi$
$972$	−971.552	+	29.5077i	−0.999539	+	0.0303577i
$973$	−597.543	−	597.543i	−0.614124	−	0.614124i
$974$	966.204	+	1311.39i	0.991996	+	1.34640i
$975$	785.516	−	468.171i	0.805658	−	0.480175i
$976$	610.702	+	215.924i	0.625720	+	0.221234i
$977$	−62.8151	+	36.2663i	−0.0642938	+	0.0371201i	−0.531802	−	0.846869i	$-0.678485\pi$
$977$	−62.8151	+	36.2663i	−0.0642938	+	0.0371201i	0.467508	+	0.883989i	$0.345152\pi$
$978$	263.845	+	111.034i	0.269781	+	0.113532i
$979$	474.641	−	127.180i	0.484822	−	0.129908i
$980$	−3.94605	+	101.065i	−0.00402658	+	0.103127i
$981$	501.175	+	1682.21i	0.510882	+	1.71479i
$982$	−494.844	−	1263.86i	−0.503914	−	1.28703i
$983$	−331.174	+	573.611i	−0.336902	+	0.583531i	−0.983848	−	0.179005i	$-0.942712\pi$
$983$	−331.174	+	573.611i	−0.336902	+	0.583531i	0.646947	+	0.762535i	$0.276046\pi$
$984$	1183.38	−	826.805i	1.20263	−	0.840249i
$985$	167.386	−	96.6406i	0.169935	−	0.0981123i
$986$	−775.170	+	970.414i	−0.786176	+	0.984192i
$987$	134.847	+	476.695i	0.136623	+	0.482973i
$988$	83.1565	+	367.081i	0.0841665	+	0.371540i
$989$	798.847	−	798.847i	0.807732	−	0.807732i
$990$	−49.9752	−	356.845i	−0.0504800	−	0.360450i
$991$	−36.0805			−0.0364081			−0.0182041	−	0.999834i	$-0.505795\pi$
$991$	−36.0805			−0.0364081			−0.0182041	+	0.999834i	$0.505795\pi$
$992$	176.492	+	283.434i	0.177915	+	0.285720i
$993$	27.3772	+	1972.66i	0.0275702	+	1.98657i
$994$	−1745.39	+	195.222i	−1.75593	+	0.196401i
$995$	−111.419	−	29.8547i	−0.111979	−	0.0300047i
$996$	−1293.89	−	381.814i	−1.29908	−	0.383347i
$997$	279.014	+	1041.30i	0.279854	+	1.04443i	0.952518	+	0.304481i	$0.0984830\pi$
$997$	279.014	+	1041.30i	0.279854	+	1.04443i	−0.672665	+	0.739948i	$0.734850\pi$
$998$	491.847	+	1256.21i	0.492833	+	1.25872i
$999$	−1350.39	+	56.2523i	−1.35174	+	0.0563086i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	144.3.w.a.29.9	yes	184
3.2	odd	2		432.3.x.a.413.38		184
9.4	even	3		432.3.x.a.125.22		184
9.5	odd	6	inner	144.3.w.a.77.25	yes	184
16.5	even	4	inner	144.3.w.a.101.25	yes	184
48.5	odd	4		432.3.x.a.197.22		184
144.5	odd	12	inner	144.3.w.a.5.9	✓	184
144.85	even	12		432.3.x.a.341.38		184

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
144.3.w.a.5.9	✓	184	144.5	odd	12	inner
144.3.w.a.29.9	yes	184	1.1	even	1	trivial
144.3.w.a.77.25	yes	184	9.5	odd	6	inner
144.3.w.a.101.25	yes	184	16.5	even	4	inner
432.3.x.a.125.22		184	9.4	even	3
432.3.x.a.197.22		184	48.5	odd	4
432.3.x.a.341.38		184	144.85	even	12
432.3.x.a.413.38		184	3.2	odd	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

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

\(f(q)\)	\(=\)	\(q+(-1.61016 + 1.18633i) q^{2} +(-2.90827 - 0.736170i) q^{3} +(1.18523 - 3.82037i) q^{4} +(-0.295811 + 1.10398i) q^{5} +(5.55613 - 2.26483i) q^{6} +(-7.30360 - 4.21674i) q^{7} +(2.62382 + 7.55748i) q^{8} +(7.91611 + 4.28197i) q^{9} +O(q^{10})\)	\(q+(-1.61016 + 1.18633i) q^{2} +(-2.90827 - 0.736170i) q^{3} +(1.18523 - 3.82037i) q^{4} +(-0.295811 + 1.10398i) q^{5} +(5.55613 - 2.26483i) q^{6} +(-7.30360 - 4.21674i) q^{7} +(2.62382 + 7.55748i) q^{8} +(7.91611 + 4.28197i) q^{9} +(-0.833388 - 2.12852i) q^{10} +(16.9180 - 4.53318i) q^{11} +(-6.25941 + 10.2382i) q^{12} +(-3.32968 + 12.4265i) q^{13} +(16.7624 - 1.87488i) q^{14} +(1.67302 - 2.99292i) q^{15} +(-13.1905 - 9.05604i) q^{16} +24.5673i q^{17} +(-17.8260 + 2.49649i) q^{18} +(5.17188 + 5.17188i) q^{19} +(3.86702 + 2.43858i) q^{20} +(18.1366 + 17.6401i) q^{21} +(-21.8629 + 27.3696i) q^{22} +(13.7010 + 23.7307i) q^{23} +(-2.06719 - 23.9108i) q^{24} +(20.5194 + 11.8469i) q^{25} +(-9.38067 - 23.9588i) q^{26} +(-19.8700 - 18.2807i) q^{27} +(-24.7659 + 22.9047i) q^{28} +(-6.54235 - 24.4164i) q^{29} +(0.856766 + 6.80383i) q^{30} +(5.21707 + 9.03623i) q^{31} +(31.9822 - 1.06660i) q^{32} +(-52.5395 + 0.729161i) q^{33} +(-29.1450 - 39.5573i) q^{34} +(6.81569 - 6.81569i) q^{35} +(25.7411 - 25.1673i) q^{36} +(35.3961 - 35.3961i) q^{37} +(-14.4631 - 2.19198i) q^{38} +(18.8316 - 33.6885i) q^{39} +(-9.11949 + 0.661063i) q^{40} +(30.0752 + 52.0917i) q^{41} +(-50.1299 - 6.88732i) q^{42} +(-10.6707 - 39.8237i) q^{43} +(2.73336 - 70.0060i) q^{44} +(-7.06890 + 7.47260i) q^{45} +(-50.2133 - 21.9564i) q^{46} +(16.9574 + 9.79036i) q^{47} +(31.6947 + 36.0478i) q^{48} +(11.0617 + 19.1594i) q^{49} +(-47.0938 + 5.26745i) q^{50} +(18.0857 - 71.4485i) q^{51} +(43.5275 + 27.4489i) q^{52} +(19.0289 + 19.0289i) q^{53} +(53.6808 + 5.86253i) q^{54} +20.0182i q^{55} +(12.7046 - 66.2608i) q^{56} +(-11.2339 - 18.8486i) q^{57} +(39.5002 + 31.5529i) q^{58} +(-5.35828 + 19.9974i) q^{59} +(-9.45114 - 9.93885i) q^{60} +(-39.1049 + 10.4781i) q^{61} +(-19.1203 - 8.36060i) q^{62} +(-39.7602 - 64.6539i) q^{63} +(-50.2311 + 39.6590i) q^{64} +(-12.7337 - 7.35181i) q^{65} +(83.7319 - 63.5034i) q^{66} +(1.23845 - 4.62195i) q^{67} +(93.8563 + 29.1179i) q^{68} +(-22.3763 - 79.1017i) q^{69} +(-2.88868 + 19.0600i) q^{70} -104.125 q^{71} +(-11.5905 + 71.0610i) q^{72} +77.0276i q^{73} +(-15.0019 + 98.9850i) q^{74} +(-50.9546 - 49.5596i) q^{75} +(25.8884 - 13.6286i) q^{76} +(-142.678 - 38.2304i) q^{77} +(9.64383 + 76.5845i) q^{78} +(-22.3815 + 38.7658i) q^{79} +(13.8996 - 11.8832i) q^{80} +(44.3295 + 67.7930i) q^{81} +(-110.224 - 48.1968i) q^{82} +(29.0965 + 108.590i) q^{83} +(88.8878 - 48.3811i) q^{84} +(-27.1219 - 7.26730i) q^{85} +(64.4258 + 51.4635i) q^{86} +(1.05234 + 75.8257i) q^{87} +(78.6493 + 115.964i) q^{88} +28.0553 q^{89} +(2.51707 - 20.4181i) q^{90} +(76.7180 - 76.7180i) q^{91} +(106.899 - 24.2163i) q^{92} +(-8.52047 - 30.1205i) q^{93} +(-38.9188 + 4.35307i) q^{94} +(-7.23957 + 4.17977i) q^{95} +(-93.7982 - 20.4424i) q^{96} +(96.2108 - 166.642i) q^{97} +(-40.5406 - 17.7269i) q^{98} +(153.336 + 36.5574i) 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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