LMFDB - Embedded newform 252.2.n.b.31.20

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [252,2,Mod(31,252)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(252, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 2, 1]))

N = Newforms(chi, 2, names="a")

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

chi := DirichletCharacter("252.31");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 252 = 2^{2} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	252.n (of order $6$, degree $2$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$2.01223013094$
Analytic rank:	$0$
Dimension:	$84$
Relative dimension:	$42$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			31.20
Character	$\chi$	$=$	252.31
Dual form			252.2.n.b.187.20

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.116673 + 1.40939i) q^{2} +(-1.39154 - 1.03131i) q^{3} +(-1.97277 - 0.328876i) q^{4} +0.0505362i q^{5} +(1.61588 - 1.84090i) q^{6} +(2.64573 + 0.0112150i) q^{7} +(0.693684 - 2.74204i) q^{8} +(0.872785 + 2.87023i) q^{9} +O(q^{10})$	\(q+(-0.116673 + 1.40939i) q^{2} +(-1.39154 - 1.03131i) q^{3} +(-1.97277 - 0.328876i) q^{4} +0.0505362i q^{5} +(1.61588 - 1.84090i) q^{6} +(2.64573 + 0.0112150i) q^{7} +(0.693684 - 2.74204i) q^{8} +(0.872785 + 2.87023i) q^{9} +(-0.0712254 - 0.00589621i) q^{10} -5.22990i q^{11} +(2.40603 + 2.49219i) q^{12} +(3.10396 + 1.79207i) q^{13} +(-0.324491 + 3.72756i) q^{14} +(0.0521187 - 0.0703234i) q^{15} +(3.78368 + 1.29760i) q^{16} +(3.76114 + 2.17150i) q^{17} +(-4.14712 + 0.895219i) q^{18} +(1.88846 + 3.27091i) q^{19} +(0.0166201 - 0.0996966i) q^{20} +(-3.67008 - 2.74418i) q^{21} +(7.37099 + 0.610188i) q^{22} -1.91752i q^{23} +(-3.79320 + 3.10027i) q^{24} +4.99745 q^{25} +(-2.88788 + 4.16561i) q^{26} +(1.74559 - 4.89417i) q^{27} +(-5.21574 - 0.892240i) q^{28} +(-1.87339 - 3.24481i) q^{29} +(0.0930324 + 0.0816605i) q^{30} +(-0.388449 - 0.672814i) q^{31} +(-2.27027 + 5.18130i) q^{32} +(-5.39367 + 7.27764i) q^{33} +(-3.49931 + 5.04757i) q^{34} +(-0.000566762 + 0.133705i) q^{35} +(-0.777859 - 5.94936i) q^{36} +(-5.64349 - 9.77481i) q^{37} +(-4.83033 + 2.27996i) q^{38} +(-2.47111 - 5.69490i) q^{39} +(0.138573 + 0.0350562i) q^{40} +(-5.98295 - 3.45426i) q^{41} +(4.29583 - 4.85241i) q^{42} +(0.0488634 - 0.0282113i) q^{43} +(-1.71999 + 10.3174i) q^{44} +(-0.145051 + 0.0441073i) q^{45} +(2.70254 + 0.223723i) q^{46} +(-2.67070 + 4.62578i) q^{47} +(-3.92693 - 5.70782i) q^{48} +(6.99975 + 0.0593434i) q^{49} +(-0.583066 + 7.04336i) q^{50} +(-2.99430 - 6.90065i) q^{51} +(-5.53404 - 4.55617i) q^{52} +(0.804472 - 1.39339i) q^{53} +(6.69414 + 3.03124i) q^{54} +0.264300 q^{55} +(1.86605 - 7.24692i) q^{56} +(0.745459 - 6.49921i) q^{57} +(4.79179 - 2.26176i) q^{58} +(3.83401 + 6.64069i) q^{59} +(-0.125946 + 0.121592i) q^{60} +(8.37680 + 4.83635i) q^{61} +(0.993581 - 0.468979i) q^{62} +(2.27696 + 7.60365i) q^{63} +(-7.03760 - 3.80422i) q^{64} +(-0.0905646 + 0.156862i) q^{65} +(-9.62775 - 8.45090i) q^{66} +(-8.22450 + 4.74842i) q^{67} +(-6.70573 - 5.52082i) q^{68} +(-1.97757 + 2.66832i) q^{69} +(-0.188377 - 0.0163985i) q^{70} +10.8805i q^{71} +(8.47574 - 0.402179i) q^{72} +(3.81483 + 2.20250i) q^{73} +(14.4350 - 6.81344i) q^{74} +(-6.95416 - 5.15393i) q^{75} +(-2.64979 - 7.07384i) q^{76} +(0.0586531 - 13.8369i) q^{77} +(8.31466 - 2.81832i) q^{78} +(2.99533 + 1.72936i) q^{79} +(-0.0655756 + 0.191213i) q^{80} +(-7.47649 + 5.01020i) q^{81} +(5.56645 - 8.02930i) q^{82} +(-5.85500 - 10.1412i) q^{83} +(6.33774 + 6.62065i) q^{84} +(-0.109739 + 0.190074i) q^{85} +(0.0340597 + 0.0721591i) q^{86} +(-0.739511 + 6.44735i) q^{87} +(-14.3406 - 3.62790i) q^{88} +(-4.18478 + 2.41609i) q^{89} +(-0.0452410 - 0.209580i) q^{90} +(8.19213 + 4.77614i) q^{91} +(-0.630626 + 3.78284i) q^{92} +(-0.153338 + 1.33686i) q^{93} +(-6.20794 - 4.30376i) q^{94} +(-0.165300 + 0.0954357i) q^{95} +(8.50273 - 4.86864i) q^{96} +(-1.35274 + 0.781004i) q^{97} +(-0.900319 + 9.85847i) q^{98} +(15.0110 - 4.56458i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9}+O(q^{10}) $ 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9	$ 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9} - 18 q^{10} + 9 q^{12} - 18 q^{13} - 25 q^{14} - 7 q^{16} + 6 q^{17} - 13 q^{18} + 24 q^{20} + 4 q^{21} + 6 q^{22} + 6 q^{24} - 32 q^{25} - 30 q^{26} - 4 q^{28} + 10 q^{29} + 14 q^{30} + 9 q^{32} - 6 q^{33} + 24 q^{34} - 38 q^{36} + 2 q^{37} - 6 q^{41} + 7 q^{42} - 13 q^{44} - 18 q^{45} + 10 q^{46} - 9 q^{48} + 2 q^{49} - 17 q^{50} - 2 q^{53} - 42 q^{54} - 32 q^{56} + 6 q^{57} + 26 q^{58} + 8 q^{60} - 24 q^{61} - 8 q^{64} + 50 q^{65} + 27 q^{66} + 18 q^{69} - 4 q^{70} - 7 q^{72} + 30 q^{73} + 46 q^{74} + 46 q^{77} + 15 q^{78} + 3 q^{80} - 26 q^{81} - 18 q^{82} + 29 q^{84} - 50 q^{85} + 18 q^{86} - 2 q^{88} - 102 q^{89} + 39 q^{90} + 28 q^{92} - 24 q^{93} + 3 q^{94} - 30 q^{96} - 6 q^{97} + 21 q^{98}+O(q^{100}) $ 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9 - 18 * q^10 + 9 * q^12 - 18 * q^13 - 25 * q^14 - 7 * q^16 + 6 * q^17 - 13 * q^18 + 24 * q^20 + 4 * q^21 + 6 * q^22 + 6 * q^24 - 32 * q^25 - 30 * q^26 - 4 * q^28 + 10 * q^29 + 14 * q^30 + 9 * q^32 - 6 * q^33 + 24 * q^34 - 38 * q^36 + 2 * q^37 - 6 * q^41 + 7 * q^42 - 13 * q^44 - 18 * q^45 + 10 * q^46 - 9 * q^48 + 2 * q^49 - 17 * q^50 - 2 * q^53 - 42 * q^54 - 32 * q^56 + 6 * q^57 + 26 * q^58 + 8 * q^60 - 24 * q^61 - 8 * q^64 + 50 * q^65 + 27 * q^66 + 18 * q^69 - 4 * q^70 - 7 * q^72 + 30 * q^73 + 46 * q^74 + 46 * q^77 + 15 * q^78 + 3 * q^80 - 26 * q^81 - 18 * q^82 + 29 * q^84 - 50 * q^85 + 18 * q^86 - 2 * q^88 - 102 * q^89 + 39 * q^90 + 28 * q^92 - 24 * q^93 + 3 * q^94 - 30 * q^96 - 6 * q^97 + 21 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/252\mathbb{Z}\right)^\times$.

$n$	$29$	$73$	$127$
$\chi(n)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{1}{6}\right)$	$-1$

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 $

$2$	−0.116673	+	1.40939i	−0.0825002	+	0.996591i
$2$	−0.116673	+	1.40939i	−0.0825002	+	0.996591i
$3$	−1.39154	−	1.03131i	−0.803408	−	0.595429i
$3$	−1.39154	−	1.03131i	−0.803408	−	0.595429i
$4$	−1.97277	−	0.328876i	−0.986387	−	0.164438i
$5$			0.0505362i			0.0226005i	0.999936	+	0.0113002i	$0.00359706\pi$
$5$			0.0505362i			0.0226005i	−0.999936	+	0.0113002i	$0.996403\pi$
$6$	1.61588	−	1.84090i	0.659681	−	0.751546i
$7$	2.64573	+	0.0112150i	0.999991	+	0.00423886i
$7$	2.64573	+	0.0112150i	0.999991	+	0.00423886i
$8$	0.693684	−	2.74204i	0.245254	−	0.969459i
$9$	0.872785	+	2.87023i	0.290928	+	0.956745i
$10$	−0.0712254	−	0.00589621i	−0.0225235	−	0.00186454i
$11$		−	5.22990i		−	1.57688i	−0.615115	−	0.788438i	$-0.710890\pi$
$11$		−	5.22990i		−	1.57688i	0.615115	−	0.788438i	$-0.289110\pi$
$12$	2.40603	+	2.49219i	0.694560	+	0.719434i
$13$	3.10396	+	1.79207i	0.860883	+	0.497031i	0.864308	−	0.502963i	$-0.167757\pi$
$13$	3.10396	+	1.79207i	0.860883	+	0.497031i	−0.00342470	+	0.999994i	$0.501090\pi$
$14$	−0.324491	+	3.72756i	−0.0867238	+	0.996232i
$15$	0.0521187	−	0.0703234i	0.0134570	−	0.0181574i
$16$	3.78368	+	1.29760i	0.945920	+	0.324399i
$17$	3.76114	+	2.17150i	0.912211	+	0.526665i	0.881142	−	0.472852i	$-0.156776\pi$
$17$	3.76114	+	2.17150i	0.912211	+	0.526665i	0.0310689	+	0.999517i	$0.490109\pi$
$18$	−4.14712	+	0.895219i	−0.977485	+	0.211005i
$19$	1.88846	+	3.27091i	0.433243	+	0.750398i	0.997150	−	0.0754395i	$-0.0240360\pi$
$19$	1.88846	+	3.27091i	0.433243	+	0.750398i	−0.563908	+	0.825838i	$0.690703\pi$
$20$	0.0166201	−	0.0996966i	0.00371638	−	0.0222928i
$21$	−3.67008	−	2.74418i	−0.800877	−	0.598829i
$22$	7.37099	+	0.610188i	1.57150	+	0.130092i
$23$		−	1.91752i		−	0.399831i	−0.979813	−	0.199916i	$-0.935933\pi$
$23$		−	1.91752i		−	0.399831i	0.979813	−	0.199916i	$-0.0640668\pi$
$24$	−3.79320	+	3.10027i	−0.774283	+	0.632839i
$25$	4.99745			0.999489
$26$	−2.88788	+	4.16561i	−0.566360	+	0.816943i
$27$	1.74559	−	4.89417i	0.335939	−	0.941884i
$28$	−5.21574	−	0.892240i	−0.985682	−	0.168618i
$29$	−1.87339	−	3.24481i	−0.347880	−	0.602546i	0.637992	−	0.770043i	$-0.279765\pi$
$29$	−1.87339	−	3.24481i	−0.347880	−	0.602546i	−0.985873	+	0.167496i	$0.946432\pi$
$30$	0.0930324	+	0.0816605i	0.0169853	+	0.0149091i
$31$	−0.388449	−	0.672814i	−0.0697676	−	0.120841i	0.829031	−	0.559202i	$-0.188892\pi$
$31$	−0.388449	−	0.672814i	−0.0697676	−	0.120841i	−0.898799	+	0.438361i	$0.855559\pi$
$32$	−2.27027	+	5.18130i	−0.401332	+	0.915933i
$33$	−5.39367	+	7.27764i	−0.938917	+	1.26687i
$34$	−3.49931	+	5.04757i	−0.600127	+	0.865651i
$35$	−0.000566762		0.133705i	−9.58002e−5		0.0226003i
$36$	−0.777859	−	5.94936i	−0.129643	−	0.991561i
$37$	−5.64349	−	9.77481i	−0.927784	−	1.60697i	−0.787021	−	0.616926i	$-0.788378\pi$
$37$	−5.64349	−	9.77481i	−0.927784	−	1.60697i	−0.140763	−	0.990043i	$-0.544956\pi$
$38$	−4.83033	+	2.27996i	−0.783583	+	0.369858i
$39$	−2.47111	−	5.69490i	−0.395694	−	0.911914i
$40$	0.138573	+	0.0350562i	0.0219102	+	0.00554287i
$41$	−5.98295	−	3.45426i	−0.934379	−	0.539464i	−0.0461854	−	0.998933i	$-0.514707\pi$
$41$	−5.98295	−	3.45426i	−0.934379	−	0.539464i	−0.888194	+	0.459469i	$0.848040\pi$
$42$	4.29583	−	4.85241i	0.662860	−	0.748743i
$43$	0.0488634	−	0.0282113i	0.00745159	−	0.00430218i	−0.496270	−	0.868168i	$-0.665297\pi$
$43$	0.0488634	−	0.0282113i	0.00745159	−	0.00430218i	0.503721	+	0.863866i	$0.331964\pi$
$44$	−1.71999	+	10.3174i	−0.259298	+	1.55541i
$45$	−0.145051	+	0.0441073i	−0.0216229	+	0.00657513i
$46$	2.70254	+	0.223723i	0.398468	+	0.0329861i
$47$	−2.67070	+	4.62578i	−0.389561	+	0.674739i	−0.992390	−	0.123131i	$-0.960707\pi$
$47$	−2.67070	+	4.62578i	−0.389561	+	0.674739i	0.602829	+	0.797870i	$0.294040\pi$
$48$	−3.92693	−	5.70782i	−0.566803	−	0.823853i
$49$	6.99975	+	0.0593434i	0.999964	+	0.00847763i
$50$	−0.583066	+	7.04336i	−0.0824580	+	0.996082i
$51$	−2.99430	−	6.90065i	−0.419286	−	0.966284i
$52$	−5.53404	−	4.55617i	−0.767434	−	0.631827i
$53$	0.804472	−	1.39339i	0.110503	−	0.191396i	−0.805470	−	0.592636i	$-0.798087\pi$
$53$	0.804472	−	1.39339i	0.110503	−	0.191396i	0.915973	+	0.401240i	$0.131421\pi$
$54$	6.69414	+	3.03124i	0.910958	+	0.412500i
$55$	0.264300			0.0356382
$56$	1.86605	−	7.24692i	0.249362	−	0.968410i
$57$	0.745459	−	6.49921i	0.0987384	−	0.860841i
$58$	4.79179	−	2.26176i	0.629193	−	0.296984i
$59$	3.83401	+	6.64069i	0.499145	+	0.864545i	1.00000		0.000986903i	$-0.000314141\pi$
$59$	3.83401	+	6.64069i	0.499145	+	0.864545i	−0.500854	+	0.865532i	$0.666981\pi$
$60$	−0.125946	+	0.121592i	−0.0162596	+	0.0156974i
$61$	8.37680	+	4.83635i	1.07254	+	0.619231i	0.928874	−	0.370395i	$-0.120778\pi$
$61$	8.37680	+	4.83635i	1.07254	+	0.619231i	0.143665	+	0.989626i	$0.454111\pi$
$62$	0.993581	−	0.468979i	0.126185	−	0.0595603i
$63$	2.27696	+	7.60365i	0.286870	+	0.957969i
$64$	−7.03760	−	3.80422i	−0.879701	−	0.475528i
$65$	−0.0905646	+	0.156862i	−0.0112332	+	0.0194564i
$66$	−9.62775	−	8.45090i	−1.18509	−	1.04023i
$67$	−8.22450	+	4.74842i	−1.00478	+	0.580111i	−0.909660	−	0.415354i	$-0.863658\pi$
$67$	−8.22450	+	4.74842i	−1.00478	+	0.580111i	−0.0951227	+	0.995466i	$0.530324\pi$
$68$	−6.70573	−	5.52082i	−0.813189	−	0.669498i
$69$	−1.97757	+	2.66832i	−0.238071	+	0.321227i
$70$	−0.188377	−	0.0163985i	−0.0225153	−	0.00196000i
$71$			10.8805i			1.29128i	0.763643	+	0.645638i	$0.223409\pi$
$71$			10.8805i			1.29128i	−0.763643	+	0.645638i	$0.776591\pi$
$72$	8.47574	−	0.402179i	0.998876	−	0.0473972i
$73$	3.81483	+	2.20250i	0.446493	+	0.257783i	0.706348	−	0.707865i	$-0.250342\pi$
$73$	3.81483	+	2.20250i	0.446493	+	0.257783i	−0.259855	+	0.965648i	$0.583675\pi$
$74$	14.4350	−	6.81344i	1.67803	−	0.792046i
$75$	−6.95416	−	5.15393i	−0.802998	−	0.595125i
$76$	−2.64979	−	7.07384i	−0.303951	−	0.811425i
$77$	0.0586531	−	13.8369i	0.00668415	−	1.57686i
$78$	8.31466	−	2.81832i	0.941450	−	0.319112i
$79$	2.99533	+	1.72936i	0.337001	+	0.194568i	0.658945	−	0.752191i	$-0.271003\pi$
$79$	2.99533	+	1.72936i	0.337001	+	0.194568i	−0.321944	+	0.946759i	$0.604336\pi$
$80$	−0.0655756	+	0.191213i	−0.00733157	+	0.0213783i
$81$	−7.47649	+	5.01020i	−0.830721	+	0.556689i
$82$	5.56645	−	8.02930i	0.614712	−	0.886688i
$83$	−5.85500	−	10.1412i	−0.642670	−	1.11314i	−0.984834	−	0.173497i	$-0.944493\pi$
$83$	−5.85500	−	10.1412i	−0.642670	−	1.11314i	0.342165	−	0.939640i	$-0.388840\pi$
$84$	6.33774	+	6.62065i	0.691505	+	0.722372i
$85$	−0.109739	+	0.190074i	−0.0119029	+	0.0206164i
$86$	0.0340597	+	0.0721591i	0.00367276	+	0.00778112i
$87$	−0.739511	+	6.44735i	−0.0792839	+	0.691229i
$88$	−14.3406	−	3.62790i	−1.52872	−	0.386736i
$89$	−4.18478	+	2.41609i	−0.443586	+	0.256105i	−0.705118	−	0.709090i	$-0.749106\pi$
$89$	−4.18478	+	2.41609i	−0.443586	+	0.256105i	0.261531	+	0.965195i	$0.415773\pi$
$90$	−0.0452410	−	0.209580i	−0.00476882	−	0.0220916i
$91$	8.19213	+	4.77614i	0.858769	+	0.500676i
$92$	−0.630626	+	3.78284i	−0.0657474	+	0.394388i
$93$	−0.153338	+	1.33686i	−0.0159004	+	0.138626i
$94$	−6.20794	−	4.30376i	−0.640300	−	0.443899i
$95$	−0.165300	+	0.0954357i	−0.0169594	+	0.00979150i
$96$	8.50273	−	4.86864i	0.867806	−	0.496903i
$97$	−1.35274	+	0.781004i	−0.137350	+	0.0792989i	−0.567100	−	0.823649i	$-0.691935\pi$
$97$	−1.35274	+	0.781004i	−0.137350	+	0.0792989i	0.429751	+	0.902948i	$0.358601\pi$
$98$	−0.900319	+	9.85847i	−0.0909459	+	0.995856i
$99$	15.0110	−	4.56458i	1.50867	−	0.458758i
$100$	−9.85884	−	1.64354i	−0.985884	−	0.164354i
$101$			8.05828i			0.801829i	0.916115	+	0.400915i	$0.131308\pi$
$101$			8.05828i			0.801829i	−0.916115	+	0.400915i	$0.868692\pi$
$102$	10.0751	−	3.41502i	0.997581	−	0.338138i
$103$	−18.8184			−1.85423			−0.927117	−	0.374772i	$-0.877721\pi$
$103$	−18.8184			−1.85423			−0.927117	+	0.374772i	$0.877721\pi$
$104$	7.06710	−	7.26806i	0.692987	−	0.712692i
$105$	0.138681	−	0.185472i	0.0135338	−	0.0181002i
$106$	1.86997	+	1.29639i	0.181627	+	0.125916i
$107$	7.30001	−	4.21466i	0.705718	−	0.407447i	−0.103755	−	0.994603i	$-0.533086\pi$
$107$	7.30001	−	4.21466i	0.705718	−	0.407447i	0.809474	+	0.587156i	$0.199753\pi$
$108$	−5.05324	+	9.08101i	−0.486248	+	0.873821i
$109$	−4.25111	+	7.36314i	−0.407183	+	0.705261i	−0.994573	−	0.104043i	$-0.966822\pi$
$109$	−4.25111	+	7.36314i	−0.407183	+	0.705261i	0.587390	+	0.809304i	$0.300155\pi$
$110$	−0.0308366	+	0.372502i	−0.00294015	+	0.0355167i
$111$	−2.22773	+	19.4223i	−0.211447	+	1.84348i
$112$	9.99604	+	3.47552i	0.944537	+	0.328406i
$113$	3.12743	−	5.41686i	0.294204	−	0.509576i	−0.680596	−	0.732659i	$-0.738279\pi$
$113$	3.12743	−	5.41686i	0.294204	−	0.509576i	0.974799	+	0.223084i	$0.0716123\pi$
$114$	9.07296	+	1.80892i	0.849761	+	0.169421i
$115$	0.0969044			0.00903638
$116$	2.62864	+	7.01740i	0.244063	+	0.651549i
$117$	−2.43458	+	10.4732i	−0.225077	+	0.968246i
$118$	−9.80667	+	4.62883i	−0.902777	+	0.426118i
$119$	9.92660	+	5.78737i	0.909970	+	0.530527i
$120$	−0.156676	−	0.191694i	−0.0143025	−	0.0174992i
$121$	−16.3519			−1.48654
$122$	−7.79366	+	11.2419i	−0.705605	+	1.01780i
$123$	4.76311	+	10.9770i	0.429475	+	0.989766i
$124$	0.545051	+	1.45506i	0.0489470	+	0.130668i
$125$			0.505233i			0.0451894i
$126$	−10.9822	+	2.32200i	−0.978371	+	0.206860i
$127$			4.27467i			0.379316i	0.981850	+	0.189658i	$0.0607379\pi$
$127$			4.27467i			0.379316i	−0.981850	+	0.189658i	$0.939262\pi$
$128$	6.18274	−	9.47490i	0.546482	−	0.837471i
$129$	−0.0970901	−	0.0111362i	−0.00854831	−	0.000980490i
$130$	−0.210514	−	0.145943i	−0.0184633	−	0.0128000i
$131$	−3.55269			−0.310400			−0.155200	−	0.987883i	$-0.549602\pi$
$131$	−3.55269			−0.310400			−0.155200	+	0.987883i	$0.549602\pi$
$132$	13.0339	−	12.5833i	1.13446	−	1.09523i
$133$	4.95967	+	8.67512i	0.430058	+	0.752228i
$134$	−5.73281	−	12.1456i	−0.495239	−	1.04922i
$135$	0.247333	+	0.0882157i	0.0212870	+	0.00759240i
$136$	8.56338	−	8.80688i	0.734304	−	0.755184i
$137$	17.3449			1.48188			0.740939	−	0.671572i	$-0.234381\pi$
$137$	17.3449			1.48188			0.740939	+	0.671572i	$0.234381\pi$
$138$	−3.52998	−	3.09849i	−0.300491	−	0.263761i
$139$	6.15856	−	10.6669i	0.522362	−	0.904758i	−0.477299	−	0.878741i	$-0.658384\pi$
$139$	6.15856	−	10.6669i	0.522362	−	0.904758i	0.999661	−	0.0260171i	$-0.00828244\pi$
$140$	0.0450905	−	0.263584i	0.00381084	−	0.0222769i
$141$	8.48702	−	3.68265i	0.714736	−	0.310135i
$142$	−15.3349	−	1.26946i	−1.28687	−	0.106531i
$143$	9.37236	−	16.2334i	0.783756	−	1.35751i
$144$	−0.422061	+	11.9926i	−0.0351718	+	0.999381i
$145$	0.163981	−	0.0946743i	0.0136178	−	0.00786227i
$146$	−3.54927	+	5.11963i	−0.293740	+	0.423703i
$147$	−9.67925	−	7.30151i	−0.798331	−	0.602219i
$148$	7.91864	+	21.1395i	0.650908	+	1.73766i
$149$	−19.0067			−1.55709			−0.778544	−	0.627590i	$-0.784041\pi$
$149$	−19.0067			−1.55709			−0.778544	+	0.627590i	$0.784041\pi$
$150$	8.07528	−	9.19982i	0.659344	−	0.751162i
$151$			3.63048i			0.295444i	0.989029	+	0.147722i	$0.0471941\pi$
$151$			3.63048i			0.295444i	−0.989029	+	0.147722i	$0.952806\pi$
$152$	10.2790	−	2.90926i	0.833735	−	0.235972i
$153$	−2.95003	+	12.6906i	−0.238496	+	1.02597i
$154$	19.4948	+	1.69706i	1.57093	+	0.136753i
$155$	0.0340015	−	0.0196308i	0.00273107	−	0.00157678i
$156$	3.00202	+	12.0474i	0.240354	+	0.964567i
$157$	12.3948	−	7.15617i	0.989216	−	0.571124i	0.0841763	−	0.996451i	$-0.473174\pi$
$157$	12.3948	−	7.15617i	0.989216	−	0.571124i	0.905040	+	0.425327i	$0.139841\pi$
$158$	−2.78682	+	4.01983i	−0.221707	+	0.319801i
$159$	−2.55648	+	1.10930i	−0.202742	+	0.0879728i
$160$	−0.261843	−	0.114731i	−0.0207005	−	0.00907029i
$161$	0.0215049	−	5.07324i	0.00169483	−	0.399827i
$162$	−6.18903	−	11.1219i	−0.486256	−	0.873816i
$163$	−9.00577	+	5.19949i	−0.705387	+	0.407255i	−0.809351	−	0.587326i	$-0.800181\pi$
$163$	−9.00577	+	5.19949i	−0.705387	+	0.407255i	0.103964	+	0.994581i	$0.466847\pi$
$164$	10.6670	+	8.78212i	0.832952	+	0.685768i
$165$	−0.367784	−	0.272576i	−0.0286320	−	0.0212200i
$166$	14.9760	−	7.06880i	1.16236	−	0.548645i
$167$	−3.75211	+	6.49885i	−0.290347	+	0.502896i	−0.973892	−	0.227013i	$-0.927104\pi$
$167$	−3.75211	+	6.49885i	−0.290347	+	0.502896i	0.683545	+	0.729909i	$0.260437\pi$
$168$	−10.0705	+	8.15992i	−0.776959	+	0.629551i
$169$	−0.0769599	−	0.133299i	−0.00591999	−	0.0102537i
$170$	−0.255085	−	0.176842i	−0.0195641	−	0.0135632i
$171$	−7.74006	+	8.27513i	−0.591897	+	0.632815i
$172$	−0.105674	+	0.0395845i	−0.00805760	+	0.00301829i
$173$	−18.8715	−	10.8955i	−1.43478	−	0.828368i	−0.437296	−	0.899318i	$-0.644064\pi$
$173$	−18.8715	−	10.8955i	−1.43478	−	0.828368i	−0.997480	+	0.0709496i	$0.977397\pi$
$174$	−9.00057	−	1.79449i	−0.682331	−	0.136040i
$175$	13.2219	+	0.0560461i	0.999480	+	0.00423669i
$176$	6.78630	−	19.7883i	0.511536	−	1.49160i
$177$	1.51345	−	13.1949i	0.113758	−	0.991787i
$178$	−2.91696	−	6.17990i	−0.218636	−	0.463203i
$179$	11.5592	+	6.67370i	0.863974	+	0.498815i	0.865341	−	0.501184i	$-0.167102\pi$
$179$	11.5592	+	6.67370i	0.863974	+	0.498815i	−0.00136726	+	0.999999i	$0.500435\pi$
$180$	0.300659	−	0.0393101i	0.0224098	−	0.00293000i
$181$			12.1295i			0.901577i	0.892631	+	0.450789i	$0.148857\pi$
$181$			12.1295i			0.901577i	−0.892631	+	0.450789i	$0.851143\pi$
$182$	−7.68726	+	10.9887i	−0.569818	+	0.814535i
$183$	−6.66889	−	15.3691i	−0.492979	−	1.13612i
$184$	−5.25793	−	1.33016i	−0.387620	−	0.0980603i
$185$	0.493982	−	0.285201i	0.0363183	−	0.0209684i
$186$	−1.86627	−	0.372089i	−0.136842	−	0.0272829i
$187$	11.3567	−	19.6704i	0.830485	−	1.43844i
$188$	6.78999	−	8.24730i	0.495211	−	0.601496i
$189$	4.67325	−	12.9291i	0.339929	−	0.940451i
$190$	−0.115220	−	0.244107i	−0.00835897	−	0.0177094i
$191$	4.07147	+	2.35066i	0.294601	+	0.170088i	0.640015	−	0.768362i	$-0.278928\pi$
$191$	4.07147	+	2.35066i	0.294601	+	0.170088i	−0.345414	+	0.938450i	$0.612261\pi$
$192$	5.86978	+	12.5517i	0.423615	+	0.905842i
$193$	−13.4391	−	23.2771i	−0.967364	−	1.67552i	−0.703125	−	0.711067i	$-0.748212\pi$
$193$	−13.4391	−	23.2771i	−0.967364	−	1.67552i	−0.264240	−	0.964457i	$-0.585121\pi$
$194$	−0.942913	−	1.99766i	−0.0676972	−	0.143424i
$195$	0.287799	−	0.124880i	0.0206097	−	0.00894287i
$196$	−13.7894	−	2.41912i	−0.984958	−	0.172794i
$197$	−10.7756			−0.767727			−0.383863	−	0.923390i	$-0.625407\pi$
$197$	−10.7756			−0.767727			−0.383863	+	0.923390i	$0.625407\pi$
$198$	4.68191	+	21.6890i	0.332729	+	1.54137i
$199$	−3.82846	+	6.63109i	−0.271393	+	0.470066i	−0.969219	−	0.246201i	$-0.920818\pi$
$199$	−3.82846	+	6.63109i	−0.271393	+	0.470066i	0.697826	+	0.716267i	$0.254151\pi$
$200$	3.46665	−	13.7032i	0.245129	−	0.968964i
$201$	16.3419	+	1.87441i	1.15267	+	0.132211i
$202$	−11.3573	−	0.940183i	−0.799096	−	0.0661510i
$203$	−4.92010	−	8.60590i	−0.345323	−	0.604016i
$204$	3.63762	+	14.5982i	0.254684	+	1.02208i
$205$	0.174565	−	0.302356i	0.0121922	−	0.0211174i
$206$	2.19560	−	26.5225i	0.152975	−	1.84791i
$207$	5.50374	−	1.67359i	0.382536	−	0.116322i
$208$	9.41901	+	10.8083i	0.653091	+	0.749421i
$209$	17.1065	−	9.87647i	1.18328	−	0.683170i
$210$	0.245223	+	0.217095i	0.0169220	+	0.0149810i
$211$	−4.47241	−	2.58215i	−0.307894	−	0.177762i	0.338090	−	0.941114i	$-0.390219\pi$
$211$	−4.47241	−	2.58215i	−0.307894	−	0.177762i	−0.645984	+	0.763351i	$0.723553\pi$
$212$	−2.04529	+	2.48427i	−0.140471	+	0.170620i
$213$	11.2212	−	15.1407i	0.768864	−	1.03742i
$214$	5.08840	+	10.7803i	0.347836	+	0.736927i
$215$	0.00142569	+	0.00246937i	9.72314e−5	+	0.000168410i
$216$	−12.2091	−	8.18150i	−0.830727	−	0.556681i
$217$	−1.02019	−	1.78444i	−0.0692547	−	0.121136i
$218$	−9.88157	−	6.85057i	−0.669265	−	0.463979i
$219$	−3.03704	−	6.99916i	−0.205224	−	0.472959i
$220$	−0.521404	−	0.0869217i	−0.0351530	−	0.00586026i
$221$	7.78295	+	13.4805i	0.523538	+	0.906794i
$222$	−27.1137	−	5.40580i	−1.81975	−	0.362814i
$223$	−4.77887	−	8.27725i	−0.320017	−	0.554286i	0.660474	−	0.750849i	$-0.270355\pi$
$223$	−4.77887	−	8.27725i	−0.320017	−	0.554286i	−0.980491	+	0.196563i	$0.937022\pi$
$224$	−6.06463	+	13.6828i	−0.405210	+	0.914223i
$225$	4.36170	+	14.3438i	0.290780	+	0.956256i
$226$	7.26960	+	5.03977i	0.483567	+	0.335241i
$227$	−6.36696			−0.422590			−0.211295	−	0.977422i	$-0.567768\pi$
$227$	−6.36696			−0.422590			−0.211295	+	0.977422i	$0.567768\pi$
$228$	−3.60805	+	12.5763i	−0.238949	+	0.832887i
$229$			19.6505i			1.29854i	0.760558	+	0.649270i	$0.224925\pi$
$229$			19.6505i			1.29854i	−0.760558	+	0.649270i	$0.775075\pi$
$230$	−0.0113061	+	0.136576i	−0.000745503	+	0.00900558i
$231$	−14.3518	+	19.1942i	−0.944279	+	1.26288i
$232$	−10.1970	+	2.88605i	−0.669463	+	0.189479i
$233$	4.26861	+	7.39344i	0.279646	+	0.484360i	0.971297	−	0.237871i	$-0.0764497\pi$
$233$	4.26861	+	7.39344i	0.279646	+	0.484360i	−0.691651	+	0.722232i	$0.743116\pi$
$234$	−14.4768	−	4.65321i	−0.946377	−	0.304190i
$235$	−0.233770	−	0.134967i	−0.0152494	−	0.00880427i
$236$	−5.37967	−	14.3615i	−0.350187	−	0.934854i
$237$	−2.38463	−	5.49560i	−0.154898	−	0.356978i
$238$	−9.31484	+	13.3152i	−0.603791	+	0.863099i
$239$	1.65881	+	0.957717i	0.107300	+	0.0619496i	0.552690	−	0.833387i	$-0.313602\pi$
$239$	1.65881	+	0.957717i	0.107300	+	0.0619496i	−0.445390	+	0.895337i	$0.646935\pi$
$240$	0.288452	−	0.198452i	0.0186195	−	0.0128100i
$241$		−	10.6347i		−	0.685041i	−0.939510	−	0.342520i	$-0.888719\pi$
$241$		−	10.6347i		−	0.685041i	0.939510	−	0.342520i	$-0.111281\pi$
$242$	1.90782	−	23.0462i	0.122639	−	1.48147i
$243$	15.5709	+	0.738700i	0.998877	+	0.0473877i
$244$	−14.9350	−	12.2960i	−0.956114	−	0.787168i
$245$	−0.00299899	+	0.353741i	−0.000191599	+	0.0225997i
$246$	−16.0267	+	5.43237i	−1.02182	+	0.346355i
$247$			13.5370i			0.861340i
$248$	−2.11435	+	0.598425i	−0.134261	+	0.0380000i
$249$	−2.31123	+	20.1502i	−0.146468	+	1.27697i
$250$	−0.712072	−	0.0589470i	−0.0450354	−	0.00372814i
$251$	−21.4032			−1.35096			−0.675478	−	0.737380i	$-0.736063\pi$
$251$	−21.4032			−1.35096			−0.675478	+	0.737380i	$0.736063\pi$
$252$	−1.99128	−	15.7491i	−0.125439	−	0.992101i
$253$	−10.0285			−0.630484
$254$	−6.02469	−	0.498738i	−0.378023	−	0.0312936i
$255$	0.348733	−	0.151321i	0.0218385	−	0.00947606i
$256$	12.6325	+	9.81938i	0.789531	+	0.613711i
$257$			16.9279i			1.05593i	0.849265	+	0.527967i	$0.177046\pi$
$257$			16.9279i			1.05593i	−0.849265	+	0.527967i	$0.822954\pi$
$258$	0.0270231	−	0.135539i	0.00168238	−	0.00843828i
$259$	−14.8215	−	25.9248i	−0.920964	−	1.61089i
$260$	0.230252	−	0.279670i	0.0142796	−	0.0173444i
$261$	7.67830	−	8.20910i	0.475275	−	0.508131i
$262$	0.414502	−	5.00713i	0.0256080	−	0.309342i
$263$		−	4.32708i		−	0.266819i	−0.991061	−	0.133410i	$-0.957407\pi$
$263$		−	4.32708i		−	0.266819i	0.991061	−	0.133410i	$-0.0425926\pi$
$264$	16.2141	+	19.8381i	0.997908	+	1.22095i
$265$	0.0704165	+	0.0406550i	0.00432565	+	0.00249742i
$266$	−12.8053	+	5.97797i	−0.785144	+	0.366533i
$267$	8.31505	+	0.953736i	0.508873	+	0.0583677i
$268$	17.7867	−	6.66272i	1.08650	−	0.406990i
$269$	9.06437	+	5.23332i	0.552665	+	0.319081i	0.750196	−	0.661216i	$-0.229959\pi$
$269$	9.06437	+	5.23332i	0.552665	+	0.319081i	−0.197531	+	0.980297i	$0.563292\pi$
$270$	−0.153188	+	0.338297i	−0.00932270	+	0.0205881i
$271$	5.69282	+	9.86025i	0.345814	+	0.598967i	0.985501	−	0.169668i	$-0.0542695\pi$
$271$	5.69282	+	9.86025i	0.345814	+	0.598967i	−0.639687	+	0.768635i	$0.720936\pi$
$272$	11.4132	+	13.0967i	0.692029	+	0.794103i
$273$	−6.47400	−	15.0949i	−0.391825	−	0.913583i
$274$	−2.02368	+	24.4458i	−0.122255	+	1.47683i
$275$		−	26.1362i		−	1.57607i
$276$	4.77884	−	4.61361i	0.287652	−	0.277707i
$277$	−16.0304			−0.963173			−0.481587	−	0.876398i	$-0.659939\pi$
$277$	−16.0304			−0.963173			−0.481587	+	0.876398i	$0.659939\pi$
$278$	14.3154	+	9.92437i	0.858579	+	0.595224i
$279$	1.59210	−	1.70216i	0.0953166	−	0.101906i
$280$	0.366232	+	0.0943032i	0.0218866	+	0.00563570i
$281$	1.06628	+	1.84684i	0.0636086	+	0.110173i	0.896076	−	0.443901i	$-0.146406\pi$
$281$	1.06628	+	1.84684i	0.0636086	+	0.110173i	−0.832467	+	0.554074i	$0.813072\pi$
$282$	4.20009	+	12.3912i	0.250112	+	0.737885i
$283$	−10.9868	−	19.0297i	−0.653096	−	1.13120i	−0.982367	−	0.186961i	$-0.940136\pi$
$283$	−10.9868	−	19.0297i	−0.653096	−	1.13120i	0.329271	−	0.944235i	$-0.393197\pi$
$284$	3.57833	−	21.4648i	0.212335	−	1.27370i
$285$	0.328446	+	0.0376727i	0.0194554	+	0.00223154i
$286$	21.7857	+	15.1033i	1.28822	+	0.893079i
$287$	−15.7905	−	9.20612i	−0.932084	−	0.543420i
$288$	−16.8530	−	1.99406i	−0.993073	−	0.117501i
$289$	0.930787	+	1.61217i	0.0547522	+	0.0948336i
$290$	0.114301	+	0.242159i	0.00671199	+	0.0142201i
$291$	2.68785	+	0.308296i	0.157565	+	0.0180727i
$292$	−6.80146	−	5.59963i	−0.398025	−	0.327694i
$293$	22.3321	+	12.8935i	1.30466	+	0.753244i	0.981199	−	0.192998i	$-0.0618212\pi$
$293$	22.3321	+	12.8935i	1.30466	+	0.753244i	0.323458	+	0.946242i	$0.395154\pi$
$294$	11.4200	−	12.7900i	0.666028	−	0.745927i
$295$	−0.335596	+	0.193756i	−0.0195391	+	0.0112809i
$296$	−30.7178	+	8.69406i	−1.78543	+	0.505332i
$297$	−25.5960	−	9.12928i	−1.48523	−	0.529735i
$298$	2.21756	−	26.7879i	0.128460	−	1.55178i
$299$	3.43634	−	5.95191i	0.198729	−	0.344208i
$300$	12.0240	+	12.4546i	0.694206	+	0.719067i
$301$	0.129596	−	0.0740913i	0.00746976	−	0.00427055i
$302$	−5.11677	−	0.423578i	−0.294437	−	0.0243742i
$303$	8.31062	−	11.2134i	0.477432	−	0.644196i
$304$	2.90102	+	14.8265i	0.166385	+	0.850361i
$305$	−0.244411	+	0.423332i	−0.0139949	+	0.0242399i
$306$	−17.5419	−	5.63840i	−1.00280	−	0.322326i
$307$	10.6177			0.605983			0.302991	−	0.952993i	$-0.402015\pi$
$307$	10.6177			0.605983			0.302991	+	0.952993i	$0.402015\pi$
$308$	−4.66633	+	27.2778i	−0.265889	+	1.55430i
$309$	26.1866	+	19.4077i	1.48971	+	1.10406i
$310$	0.0237004	+	0.0502118i	0.00134609	+	0.00285184i
$311$	11.3382	+	19.6384i	0.642931	+	1.11359i	0.984775	+	0.173833i	$0.0556151\pi$
$311$	11.3382	+	19.6384i	0.642931	+	1.11359i	−0.341844	+	0.939757i	$0.611052\pi$
$312$	−17.3298	+	2.82542i	−0.981108	+	0.159958i
$313$	−23.2555	−	13.4266i	−1.31448	−	0.758915i	−0.331644	−	0.943404i	$-0.607603\pi$
$313$	−23.2555	−	13.4266i	−1.31448	−	0.758915i	−0.982834	+	0.184490i	$0.940937\pi$
$314$	8.63971	+	18.3041i	0.487567	+	1.03296i
$315$	−0.384260	+	0.115069i	−0.0216506	+	0.00648341i
$316$	−5.34038	−	4.39673i	−0.300420	−	0.247335i
$317$	0.0205535	−	0.0355997i	0.00115440	−	0.00199948i	−0.865448	−	0.500999i	$-0.832966\pi$
$317$	0.0205535	−	0.0355997i	0.00115440	−	0.00199948i	0.866602	+	0.499000i	$0.166299\pi$
$318$	−1.26516	−	3.73250i	−0.0709467	−	0.209308i
$319$	−16.9701	+	9.79766i	−0.950141	+	0.548564i
$320$	0.192251	−	0.355654i	0.0107472	−	0.0198817i
$321$	−14.5049	−	1.66371i	−0.809585	−	0.0928593i
$322$	7.14768	+	0.622218i	0.398325	+	0.0346749i
$323$			16.4031i			0.912695i
$324$	16.3972	−	7.42515i	0.910954	−	0.412509i
$325$	15.5119	+	8.95578i	0.860444	+	0.496777i
$326$	−6.27739	−	13.2993i	−0.347672	−	0.736581i
$327$	13.5093	−	5.86190i	0.747067	−	0.324164i
$328$	−13.6220	+	14.0093i	−0.752149	+	0.773536i
$329$	−7.11781	+	12.2086i	−0.392418	+	0.673082i
$330$	0.427077	−	0.486550i	0.0235098	−	0.0267837i
$331$	11.5470	+	6.66665i	0.634679	+	0.366432i	0.782562	−	0.622573i	$-0.213913\pi$
$331$	11.5470	+	6.66665i	0.634679	+	0.366432i	−0.147883	+	0.989005i	$0.547246\pi$
$332$	8.21542	+	21.9318i	0.450880	+	1.20366i
$333$	23.1304	−	24.7295i	1.26754	−	1.35517i
$334$	−8.72166	−	6.04644i	−0.477228	−	0.330847i
$335$	−0.239967	−	0.415635i	−0.0131108	−	0.0227086i
$336$	−10.3256	−	15.1454i	−0.563306	−	0.826248i
$337$	5.08171	−	8.80178i	0.276818	−	0.479463i	−0.693774	−	0.720193i	$-0.744053\pi$
$337$	5.08171	−	8.80178i	0.276818	−	0.479463i	0.970592	+	0.240729i	$0.0773866\pi$
$338$	0.196849	−	0.0929144i	0.0107072	−	0.00505388i
$339$	−9.93843	+	4.31244i	−0.539782	+	0.234220i
$340$	0.279002	−	0.338883i	0.0151310	−	0.0183785i
$341$	−3.51875	+	2.03155i	−0.190551	+	0.110015i
$342$	−10.7599	−	11.8743i	−0.581826	−	0.642087i
$343$	18.5188	+	0.235508i	0.999919	+	0.0127163i
$344$	−0.0434608	−	0.153555i	−0.00234325	−	0.00827914i
$345$	−0.134847	−	0.0999388i	−0.00725990	−	0.00538052i
$346$	17.5578	−	25.3262i	0.943913	−	1.36154i
$347$	−1.11778	+	0.645351i	−0.0600056	+	0.0346443i	−0.529703	−	0.848183i	$-0.677696\pi$
$347$	−1.11778	+	0.645351i	−0.0600056	+	0.0346443i	0.469697	+	0.882828i	$0.344363\pi$
$348$	3.57927	−	12.4760i	0.191869	−	0.668782i
$349$	10.7860	−	6.22732i	0.577363	−	0.333341i	−0.182722	−	0.983165i	$-0.558491\pi$
$349$	10.7860	−	6.22732i	0.577363	−	0.333341i	0.760085	+	0.649824i	$0.225157\pi$
$350$	−1.62163	+	18.6283i	−0.0866795	+	0.995724i
$351$	14.1890	−	12.0631i	0.757350	−	0.643879i
$352$	27.0977	+	11.8733i	1.44431	+	0.632850i
$353$			15.7562i			0.838618i	0.907844	+	0.419309i	$0.137728\pi$
$353$			15.7562i			0.838618i	−0.907844	+	0.419309i	$0.862272\pi$
$354$	18.4202	+	3.67253i	0.979021	+	0.195193i
$355$	−0.549859			−0.0291835
$356$	9.05023	−	3.39012i	0.479661	−	0.179676i
$357$	−7.84471	−	18.2908i	−0.415186	−	0.968052i
$358$	−10.7545	+	15.5128i	−0.568393	+	0.819876i
$359$	−2.40165	+	1.38659i	−0.126754	+	0.0731815i	−0.562036	−	0.827113i	$-0.689982\pi$
$359$	−2.40165	+	1.38659i	−0.126754	+	0.0731815i	0.435282	+	0.900294i	$0.356649\pi$
$360$	0.0203246	+	0.428332i	0.00107120	+	0.0225751i
$361$	2.36743	−	4.10051i	0.124602	−	0.215816i
$362$	−17.0952	−	1.41518i	−0.898504	−	0.0743803i
$363$	22.7544	+	16.8639i	1.19429	+	0.885126i
$364$	−14.5905	−	12.1164i	−0.764749	−	0.635074i
$365$	−0.111306	+	0.192787i	−0.00582601	+	0.0100910i
$366$	22.4392	−	7.60593i	1.17291	−	0.397568i
$367$	26.3413			1.37500			0.687502	−	0.726183i	$-0.258707\pi$
$367$	26.3413			1.37500			0.687502	+	0.726183i	$0.258707\pi$
$368$	2.48817	−	7.25529i	0.129705	−	0.378208i
$369$	4.69270	−	20.1873i	0.244292	−	1.05091i
$370$	0.344326	+	0.729490i	0.0179006	+	0.0379244i
$371$	2.14404	−	3.67750i	0.111313	−	0.190926i
$372$	0.742163	−	2.58690i	0.0384794	−	0.134125i
$373$	−2.78093			−0.143991			−0.0719956	−	0.997405i	$-0.522937\pi$
$373$	−2.78093			−0.143991			−0.0719956	+	0.997405i	$0.522937\pi$
$374$	26.3983	+	18.3011i	1.36502	+	0.946326i
$375$	0.521054	−	0.703054i	0.0269071	−	0.0363056i
$376$	10.8315	+	10.5320i	0.558590	+	0.543146i
$377$		−	13.4290i		−	0.691630i
$378$	17.6769	+	8.09492i	0.909201	+	0.416358i
$379$		−	30.8673i		−	1.58555i	−0.609517	−	0.792773i	$-0.708637\pi$
$379$		−	30.8673i		−	1.58555i	0.609517	−	0.792773i	$-0.291363\pi$
$380$	0.357485	−	0.133910i	0.0183386	−	0.00686945i
$381$	4.40853	−	5.94839i	0.225856	−	0.304745i
$382$	−3.78804	+	5.46404i	−0.193813	+	0.279564i
$383$	−9.68497			−0.494879			−0.247439	−	0.968903i	$-0.579589\pi$
$383$	−9.68497			−0.494879			−0.247439	+	0.968903i	$0.579589\pi$
$384$	−18.3751	+	6.80838i	−0.937703	+	0.347439i
$385$	0.699265	+	0.00296411i	0.0356378	+	0.000151065i
$386$	34.3746	−	16.2251i	1.74962	−	0.825835i
$387$	0.123620	+	0.115627i	0.00628397	+	0.00587765i
$388$	2.92550	−	1.09586i	0.148520	−	0.0556339i
$389$	−18.0908			−0.917240			−0.458620	−	0.888633i	$-0.651656\pi$
$389$	−18.0908			−0.917240			−0.458620	+	0.888633i	$0.651656\pi$
$390$	0.142427	+	0.420192i	0.00721208	+	0.0212772i
$391$	4.16389	−	7.21207i	0.210577	−	0.364730i
$392$	5.01834	−	19.1524i	0.253464	−	0.967345i
$393$	4.94372	+	3.66394i	0.249378	+	0.184821i
$394$	1.25722	−	15.1870i	0.0633376	−	0.765110i
$395$	−0.0873952	+	0.151373i	−0.00439733	+	0.00761640i
$396$	−31.1146	+	4.06813i	−1.56357	+	0.204431i
$397$	−12.7403	+	7.35561i	−0.639417	+	0.369168i	−0.784390	−	0.620268i	$-0.787024\pi$
$397$	−12.7403	+	7.35561i	−0.639417	+	0.369168i	0.144973	+	0.989436i	$0.453691\pi$
$398$	−8.89914	−	6.16948i	−0.446073	−	0.309248i
$399$	2.04517	−	17.1868i	0.102386	−	0.860415i
$400$	18.9087	+	6.48466i	0.945437	+	0.324233i
$401$	30.3947			1.51784			0.758920	−	0.651184i	$-0.225727\pi$
$401$	30.3947			1.51784			0.758920	+	0.651184i	$0.225727\pi$
$402$	−4.54843	+	22.8134i	−0.226855	+	1.13783i
$403$		−	2.78452i		−	0.138707i
$404$	2.65017	−	15.8972i	0.131851	−	0.790914i
$405$	−0.253197	−	0.377834i	−0.0125814	−	0.0187747i
$406$	12.7031	−	5.93027i	0.630446	−	0.294315i
$407$	−51.1213	+	29.5149i	−2.53399	+	1.46300i
$408$	−20.9990	+	3.42363i	−1.03960	+	0.169495i
$409$	−9.85015	+	5.68698i	−0.487058	+	0.281203i	−0.723353	−	0.690478i	$-0.757400\pi$
$409$	−9.85015	+	5.68698i	−0.487058	+	0.281203i	0.236295	+	0.971681i	$0.424067\pi$
$410$	0.405771	+	0.281307i	0.0200396	+	0.0138928i
$411$	−24.1362	−	17.8881i	−1.19055	−	0.882354i
$412$	37.1245	+	6.18892i	1.82899	+	0.304906i
$413$	10.0693	+	17.6125i	0.495476	+	0.866653i
$414$	1.71660	+	7.95219i	0.0843664	+	0.390829i
$415$	0.512496	−	0.295890i	0.0251574	−	0.0145247i
$416$	−16.3321	+	12.0140i	−0.800747	+	0.589037i
$417$	−19.5709	+	8.49210i	−0.958389	+	0.415860i
$418$	11.9240	+	25.2622i	0.583220	+	1.23561i
$419$	−14.8727	+	25.7603i	−0.726580	+	1.25847i	0.231740	+	0.972778i	$0.425558\pi$
$419$	−14.8727	+	25.7603i	−0.726580	+	1.25847i	−0.958320	+	0.285696i	$0.907775\pi$
$420$	−0.334583	+	0.320286i	−0.0163260	+	0.0156283i
$421$	2.71908	+	4.70958i	0.132520	+	0.229531i	0.924647	−	0.380825i	$-0.124360\pi$
$421$	2.71908	+	4.70958i	0.132520	+	0.229531i	−0.792127	+	0.610356i	$0.791027\pi$
$422$	4.16107	−	6.00212i	0.202558	−	0.292179i
$423$	−15.6080	−	3.62821i	−0.758888	−	0.176410i
$424$	−3.26268	−	3.17247i	−0.158450	−	0.154069i
$425$	18.7961	+	10.8519i	0.911745	+	0.526396i
$426$	20.0299	+	17.5816i	0.970454	+	0.851830i
$427$	22.1085	+	12.8896i	1.06990	+	0.623772i
$428$	−15.7874	+	5.91378i	−0.763111	+	0.285853i
$429$	−29.7838	+	12.9236i	−1.43797	+	0.623959i
$430$	−0.00364665	+	0.00172125i	−0.000175857	+	8.30061e-5i
$431$	−13.3267	−	7.69416i	−0.641924	−	0.370615i	0.143432	−	0.989660i	$-0.454186\pi$
$431$	−13.3267	−	7.69416i	−0.641924	−	0.370615i	−0.785355	+	0.619046i	$0.787520\pi$
$432$	12.9554	−	16.2529i	0.623318	−	0.781968i
$433$		−	20.3869i		−	0.979730i	−0.871798	−	0.489865i	$-0.837046\pi$
$433$		−	20.3869i		−	0.979730i	0.871798	−	0.489865i	$-0.162954\pi$
$434$	2.63400	−	1.22965i	0.126436	−	0.0590249i
$435$	−0.325825	−	0.0373721i	−0.0156221	−	0.00179185i
$436$	10.8080	−	13.1277i	0.517612	−	0.628705i
$437$	6.27204	−	3.62117i	0.300033	−	0.173224i
$438$	10.2189	−	3.46377i	0.488278	−	0.165506i
$439$	−2.19624	+	3.80401i	−0.104821	+	0.181555i	−0.913665	−	0.406468i	$-0.866760\pi$
$439$	−2.19624	+	3.80401i	−0.104821	+	0.181555i	0.808844	+	0.588023i	$0.200094\pi$
$440$	0.183341	−	0.724721i	0.00874042	−	0.0345497i
$441$	5.93895	+	20.1427i	0.282807	+	0.959177i
$442$	−19.9073	+	9.39643i	−0.946895	+	0.446943i
$443$	32.3676	+	18.6875i	1.53783	+	0.887868i	0.998965	+	0.0454762i	$0.0144805\pi$
$443$	32.3676	+	18.6875i	1.53783	+	0.887868i	0.538866	+	0.842391i	$0.318853\pi$
$444$	10.7823	−	37.5831i	0.511707	−	1.78362i
$445$	−0.122100	−	0.211483i	−0.00578809	−	0.0100253i
$446$	12.2235	−	5.76958i	0.578798	−	0.273197i
$447$	26.4486	+	19.6018i	1.25098	+	0.927136i
$448$	−18.5769	−	10.1439i	−0.877677	−	0.479253i
$449$	−17.3678			−0.819635			−0.409818	−	0.912167i	$-0.634408\pi$
$449$	−17.3678			−0.819635			−0.409818	+	0.912167i	$0.634408\pi$
$450$	−20.7250	+	4.47381i	−0.976986	+	0.210897i
$451$	−18.0654	+	31.2902i	−0.850668	+	1.47340i
$452$	−7.95118	+	9.65772i	−0.373992	+	0.454261i
$453$	3.74416	−	5.05197i	0.175916	−	0.237362i
$454$	0.742852	−	8.97355i	0.0348638	−	0.421150i
$455$	−0.241368	+	0.414000i	−0.0113155	+	0.0194086i
$456$	−17.3040	−	6.55248i	−0.810334	−	0.306848i
$457$	−14.7147	+	25.4866i	−0.688324	+	1.19221i	0.284056	+	0.958808i	$0.408320\pi$
$457$	−14.7147	+	25.4866i	−0.688324	+	1.19221i	−0.972380	+	0.233404i	$0.925014\pi$
$458$	−27.6952	−	2.29268i	−1.29411	−	0.107130i
$459$	17.1931	−	14.6171i	0.802505	−	0.682269i
$460$	−0.191171	−	0.0318695i	−0.00891337	−	0.00148592i
$461$	−29.5025	+	17.0333i	−1.37407	+	0.793319i	−0.991438	−	0.130582i	$-0.958316\pi$
$461$	−29.5025	+	17.0333i	−1.37407	+	0.793319i	−0.382632	+	0.923901i	$0.624982\pi$
$462$	−25.3776	−	22.4668i	−1.18067	−	1.04525i
$463$	−20.8208	−	12.0209i	−0.967625	−	0.558658i	−0.0691135	−	0.997609i	$-0.522017\pi$
$463$	−20.8208	−	12.0209i	−0.967625	−	0.558658i	−0.898511	+	0.438950i	$0.855350\pi$
$464$	−2.87787	−	14.7082i	−0.133602	−	0.682813i
$465$	−0.0675600	−	0.00774913i	−0.00313302	−	0.000359357i
$466$	−10.9183	+	5.15353i	−0.505780	+	0.238733i
$467$	11.6414	+	20.1634i	0.538698	+	0.933052i	0.998975	+	0.0452762i	$0.0144168\pi$
$467$	11.6414	+	20.1634i	0.538698	+	0.933052i	−0.460277	+	0.887775i	$0.652250\pi$
$468$	8.24724	−	19.8606i	0.381229	−	0.918055i
$469$	−21.8130	+	12.4708i	−1.00723	+	0.575847i
$470$	0.217496	−	0.313726i	0.0100323	−	0.0144711i
$471$	−24.6282	−	2.82485i	−1.13481	−	0.130162i
$472$	20.8687	−	5.90647i	0.960558	−	0.271867i
$473$	−0.147542	−	0.255551i	−0.00678400	−	0.0117502i
$474$	8.02369	−	2.71969i	0.368540	−	0.124919i
$475$	9.43748	+	16.3462i	0.433021	+	0.750015i
$476$	−17.6796	−	14.6818i	−0.810344	−	0.672939i
$477$	4.70148	+	1.09290i	0.215266	+	0.0500403i
$478$	−1.54334	+	2.22618i	−0.0705906	+	0.101823i
$479$	20.9740			0.958329			0.479164	−	0.877725i	$-0.340940\pi$
$479$	20.9740			0.958329			0.479164	+	0.877725i	$0.340940\pi$
$480$	0.246043	+	0.429696i	0.0112303	+	0.0196128i
$481$		−	40.4542i		−	1.84455i
$482$	14.9885	+	1.24078i	0.682705	+	0.0565160i
$483$	−5.26203	+	7.03746i	−0.239431	+	0.320215i
$484$	32.2586	+	5.37774i	1.46630	+	0.244443i
$485$	−0.0394690	−	0.0683623i	−0.00179219	−	0.00310417i
$486$	−2.85783	+	21.8594i	−0.129634	+	0.991562i
$487$	−17.7169	−	10.2289i	−0.802830	−	0.463514i	0.0416298	−	0.999133i	$-0.486745\pi$
$487$	−17.7169	−	10.2289i	−0.802830	−	0.463514i	−0.844460	+	0.535619i	$0.820078\pi$
$488$	19.0723	−	19.6147i	0.863364	−	0.887914i
$489$	17.8942	+	2.05247i	0.809205	+	0.0928157i
$490$	−0.498210	−	0.0454987i	−0.0225068	−	0.00205542i
$491$	14.6614	+	8.46477i	0.661660	+	0.382010i	0.792909	−	0.609340i	$-0.208565\pi$
$491$	14.6614	+	8.46477i	0.661660	+	0.382010i	−0.131249	+	0.991349i	$0.541899\pi$
$492$	−5.78646	−	23.2217i	−0.260874	−	1.04692i
$493$		−	16.2723i		−	0.732866i
$494$	−19.0790	−	1.57940i	−0.858404	−	0.0710607i
$495$	0.230677	+	0.758602i	0.0103682	+	0.0340966i
$496$	−0.596728	−	3.04976i	−0.0267939	−	0.136938i
$497$	−0.122024	+	28.7868i	−0.00547354	+	1.29127i
$498$	−28.1299	−	5.60841i	−1.26053	−	0.251319i
$499$			29.1419i			1.30457i	0.757974	+	0.652285i	$0.226190\pi$
$499$			29.1419i			1.30457i	−0.757974	+	0.652285i	$0.773810\pi$
$500$	0.166159	−	0.996712i	0.00743086	−	0.0445743i
$501$	11.9236	−	5.17383i	0.532706	−	0.231150i
$502$	2.49717	−	30.1655i	0.111454	−	1.34635i
$503$	−18.6831			−0.833038			−0.416519	−	0.909127i	$-0.636750\pi$
$503$	−18.6831			−0.833038			−0.416519	+	0.909127i	$0.636750\pi$
$504$	22.4290	−	0.969001i	0.999068	−	0.0431627i
$505$	−0.407235			−0.0181217
$506$	1.17005	−	14.1340i	0.0520150	−	0.628334i
$507$	−0.0303795	+	0.264860i	−0.00134920	+	0.0117629i
$508$	1.40584	−	8.43297i	0.0623739	−	0.374152i
$509$			3.48132i			0.154307i	0.997019	+	0.0771534i	$0.0245831\pi$
$509$			3.48132i			0.154307i	−0.997019	+	0.0771534i	$0.975417\pi$
$510$	0.172582	+	0.509156i	0.00764208	+	0.0225458i
$511$	10.0683	+	5.86999i	0.445396	+	0.259673i
$512$	−15.3132	+	16.6585i	−0.676755	+	0.736208i
$513$	19.3049	−	3.53277i	0.852331	−	0.155976i
$514$	−23.8581	−	1.97503i	−1.05234	−	0.0871148i
$515$		−	0.951012i		−	0.0419066i
$516$	0.187875	+	0.0538999i	0.00827072	+	0.00237281i
$517$	24.1924	+	13.9675i	1.06398	+	0.614289i
$518$	38.2675	−	17.8646i	1.68138	−	0.784926i
$519$	15.0239	+	34.6240i	0.659476	+	1.51982i
$520$	0.367300	+	0.357145i	0.0161072	+	0.0156618i
$521$	−20.4849	−	11.8270i	−0.897461	−	0.518150i	−0.0210857	−	0.999778i	$-0.506712\pi$
$521$	−20.4849	−	11.8270i	−0.897461	−	0.518150i	−0.876376	+	0.481628i	$0.840046\pi$
$522$	10.6740	+	11.7795i	0.467188	+	0.515576i
$523$	0.951103	+	1.64736i	0.0415888	+	0.0720340i	0.886071	−	0.463550i	$-0.153425\pi$
$523$	0.951103	+	1.64736i	0.0415888	+	0.0720340i	−0.844482	+	0.535584i	$0.820091\pi$
$524$	7.00866	+	1.16839i	0.306175	+	0.0510415i
$525$	−18.3410	−	13.7139i	−0.800468	−	0.598523i
$526$	6.09856	+	0.504853i	0.265910	+	0.0220126i
$527$		−	3.37407i		−	0.146977i
$528$	−29.8514	+	20.5375i	−1.29911	+	0.893778i
$529$	19.3231			0.840135
$530$	−0.0655146	+	0.0945012i	−0.00284577	+	0.00410487i
$531$	−15.7141	+	16.8004i	−0.681933	+	0.729075i
$532$	−6.93128	−	18.7452i	−0.300509	−	0.812706i
$533$	−12.3805	−	21.4437i	−0.536261	−	0.928831i
$534$	−2.31433	+	11.6079i	−0.100151	+	0.502323i
$535$	0.212993	+	0.368915i	0.00920850	+	0.0159496i
$536$	7.31516	+	25.8458i	0.315967	+	1.11637i
$537$	−9.20243	−	21.2079i	−0.397114	−	0.915187i
$538$	−8.43337	+	12.1647i	−0.363588	+	0.524456i
$539$	0.310360	−	36.6080i	0.0133682	−	1.57682i
$540$	−0.458920	−	0.255372i	−0.0197488	−	0.0109894i
$541$	−6.11980	−	10.5998i	−0.263111	−	0.455721i	0.703956	−	0.710243i	$-0.251415\pi$
$541$	−6.11980	−	10.5998i	−0.263111	−	0.455721i	−0.967067	+	0.254522i	$0.918082\pi$
$542$	−14.5612	+	6.87299i	−0.625455	+	0.295220i
$543$	12.5093	−	16.8787i	0.536825	−	0.724334i
$544$	−19.7900	+	14.5577i	−0.848489	+	0.624156i
$545$	−0.372106	−	0.214835i	−0.0159393	−	0.00920253i
$546$	22.0299	−	7.36325i	0.942794	−	0.315118i
$547$	−29.8662	+	17.2432i	−1.27698	+	0.737267i	−0.976293	−	0.216454i	$-0.930551\pi$
$547$	−29.8662	+	17.2432i	−1.27698	+	0.737267i	−0.300692	+	0.953721i	$0.597218\pi$
$548$	−34.2177	−	5.70433i	−1.46171	−	0.243677i
$549$	−6.57030	+	28.2645i	−0.280414	+	1.20630i
$550$	36.8361	+	3.04938i	1.57070	+	0.130026i
$551$	7.07566	−	12.2554i	0.301433	−	0.522098i
$552$	5.94483	+	7.27354i	0.253029	+	0.309582i
$553$	7.90545	+	4.60900i	0.336174	+	0.195995i
$554$	1.87031	−	22.5931i	0.0794620	−	0.959890i
$555$	−0.981529	−	0.112581i	−0.0416636	−	0.00477881i
$556$	−15.6575	+	19.0181i	−0.664028	+	0.806546i
$557$	−7.66305	+	13.2728i	−0.324694	+	0.562387i	−0.981450	−	0.191716i	$-0.938595\pi$
$557$	−7.66305	+	13.2728i	−0.324694	+	0.562387i	0.656756	+	0.754103i	$0.271928\pi$
$558$	2.21326	+	2.44249i	0.0936948	+	0.103399i
$559$	0.202226			0.00855327
$560$	−0.175640	+	0.505162i	−0.00742213	+	0.0213470i
$561$	−36.0897	+	15.6599i	−1.52371	+	0.661161i
$562$	−2.72733	+	1.28732i	−0.115046	+	0.0543025i
$563$	−18.3307	−	31.7497i	−0.772546	−	1.33809i	−0.936163	−	0.351565i	$-0.885650\pi$
$563$	−18.3307	−	31.7497i	−0.772546	−	1.33809i	0.163617	−	0.986524i	$-0.447684\pi$
$564$	−17.9541	+	4.47386i	−0.756004	+	0.188384i
$565$	0.273748	+	0.158048i	0.0115167	+	0.00664915i
$566$	28.1021	−	13.2644i	1.18122	−	0.557546i
$567$	−19.8369	+	13.1718i	−0.833074	+	0.553162i
$568$	29.8348	+	7.54763i	1.25184	+	0.316691i
$569$	22.4891	−	38.9523i	0.942793	−	1.63297i	0.182682	−	0.983172i	$-0.441522\pi$
$569$	22.4891	−	38.9523i	0.942793	−	1.63297i	0.760111	−	0.649793i	$-0.225145\pi$
$570$	−0.0914163	+	0.458513i	−0.00382901	+	0.0192050i
$571$	−2.47039	+	1.42628i	−0.103383	+	0.0596880i	−0.550800	−	0.834637i	$-0.685677\pi$
$571$	−2.47039	+	1.42628i	−0.103383	+	0.0596880i	0.447417	+	0.894325i	$0.352344\pi$
$572$	−23.8283	+	28.9425i	−0.996312	+	1.21015i
$573$	−3.24135	−	7.47001i	−0.135409	−	0.312064i
$574$	14.8174	−	21.1809i	0.618465	−	0.884075i
$575$		−	9.58271i		−	0.399627i
$576$	4.77670	−	23.5198i	0.199029	−	0.979994i
$577$	−0.0641540	−	0.0370393i	−0.00267076	−	0.00154197i	0.498664	−	0.866795i	$-0.333824\pi$
$577$	−0.0641540	−	0.0370393i	−0.00267076	−	0.00154197i	−0.501335	+	0.865253i	$0.667157\pi$
$578$	−2.38078	+	1.12375i	−0.0990273	+	0.0467417i
$579$	−5.30498	+	46.2510i	−0.220468	+	1.92213i
$580$	−0.354633	+	0.132842i	−0.0147253	+	0.00551595i
$581$	−15.3770	−	26.8964i	−0.637946	−	1.11585i
$582$	−0.748110	+	3.75227i	−0.0310102	+	0.155537i
$583$	−7.28728	−	4.20731i	−0.301808	−	0.174249i
$584$	8.68563	−	8.93260i	0.359414	−	0.369634i
$585$	−0.529275	−	0.123034i	−0.0218828	−	0.00508684i
$586$	−20.7775	+	29.9704i	−0.858311	+	1.23807i
$587$	0.649362	+	1.12473i	0.0268020	+	0.0464225i	0.879115	−	0.476609i	$-0.158134\pi$
$587$	0.649362	+	1.12473i	0.0268020	+	0.0464225i	−0.852313	+	0.523032i	$0.824801\pi$
$588$	16.6937	+	17.5875i	0.688436	+	0.725297i
$589$	1.46714	−	2.54117i	0.0604526	−	0.104707i
$590$	−0.233924	−	0.495592i	−0.00963049	−	0.0204032i
$591$	14.9947	+	11.1130i	0.616798	+	0.457127i
$592$	−8.66942	−	44.3077i	−0.356311	−	1.82104i
$593$	38.8634	−	22.4378i	1.59593	−	0.921410i	0.603668	−	0.797236i	$-0.293705\pi$
$593$	38.8634	−	22.4378i	1.59593	−	0.921410i	0.992261	−	0.124173i	$-0.0396279\pi$
$594$	15.8531	−	35.0097i	0.650461	−	1.43647i
$595$	−0.292472	+	0.501653i	−0.0119902	+	0.0205658i
$596$	37.4959	+	6.25084i	1.53589	+	0.256044i
$597$	12.1662	−	5.27911i	0.497930	−	0.216060i
$598$	7.98765	+	5.53757i	0.326639	+	0.226448i
$599$	24.5388	−	14.1675i	1.00263	−	0.578867i	0.0936028	−	0.995610i	$-0.470162\pi$
$599$	24.5388	−	14.1675i	1.00263	−	0.578867i	0.909025	+	0.416742i	$0.136828\pi$
$600$	−18.9563	+	15.4934i	−0.773888	+	0.632516i
$601$	−22.6738	+	13.0907i	−0.924883	+	0.533982i	−0.885190	−	0.465230i	$-0.845972\pi$
$601$	−22.6738	+	13.0907i	−0.924883	+	0.533982i	−0.0396936	+	0.999212i	$0.512638\pi$
$602$	0.0893035	+	0.191295i	0.00363974	+	0.00779662i
$603$	−20.8073	−	19.4619i	−0.847338	−	0.792550i
$604$	1.19398	−	7.16212i	0.0485822	−	0.291423i
$605$		−	0.826363i		−	0.0335964i
$606$	14.8345	+	13.0212i	0.602612	+	0.528951i
$607$	23.4189			0.950544			0.475272	−	0.879839i	$-0.342350\pi$
$607$	23.4189			0.950544			0.475272	+	0.879839i	$0.342350\pi$
$608$	−21.2349	+	2.35882i	−0.861188	+	0.0956627i
$609$	−2.02885	+	17.0496i	−0.0822132	+	0.690886i
$610$	−0.568125	−	0.393862i	−0.0230027	−	0.0159470i
$611$	−16.5795	+	9.57215i	−0.670733	+	0.387248i
$612$	9.99338	−	24.0655i	0.403959	−	0.972791i
$613$	1.38801	−	2.40411i	0.0560614	−	0.0971012i	−0.836633	−	0.547764i	$-0.815479\pi$
$613$	1.38801	−	2.40411i	0.0560614	−	0.0971012i	0.892694	+	0.450663i	$0.148812\pi$
$614$	−1.23879	+	14.9645i	−0.0499937	+	0.603917i
$615$	−0.554738	+	0.240710i	−0.0223692	+	0.00970635i
$616$	−37.9007	−	9.75927i	−1.52706	−	0.393212i
$617$	−10.6381	+	18.4257i	−0.428273	+	0.741791i	−0.996720	−	0.0809290i	$-0.974211\pi$
$617$	−10.6381	+	18.4257i	−0.428273	+	0.741791i	0.568447	+	0.822720i	$0.307545\pi$
$618$	−30.4083	+	34.6429i	−1.22320	+	1.39354i
$619$	11.8445			0.476069			0.238034	−	0.971257i	$-0.423497\pi$
$619$	11.8445			0.476069			0.238034	+	0.971257i	$0.423497\pi$
$620$	−0.0735334	+	0.0275448i	−0.00295317	+	0.00110623i
$621$	−9.38468	−	3.34721i	−0.376594	−	0.134319i
$622$	−29.0010	+	13.6887i	−1.16283	+	0.548868i
$623$	−11.0989	+	6.34538i	−0.444668	+	0.254222i
$624$	−1.96020	−	24.7542i	−0.0784709	−	0.990960i
$625$	24.9617			0.998468
$626$	21.6366	−	31.2096i	0.864772	−	1.24739i
$627$	−33.9902	−	3.89868i	−1.35744	−	0.155698i
$628$	−26.8057	+	10.0411i	−1.06966	+	0.400685i
$629$		−	49.0193i		−	1.95453i
$630$	−0.117345	−	0.554998i	−0.00467513	−	0.0221117i
$631$			11.3000i			0.449846i	0.974377	+	0.224923i	$0.0722130\pi$
$631$			11.3000i			0.449846i	−0.974377	+	0.224923i	$0.927787\pi$
$632$	6.81979	−	7.01371i	0.271277	−	0.278990i
$633$	3.56055	+	8.20563i	0.141519	+	0.326145i
$634$	0.0477759	+	0.0331214i	0.00189742	+	0.00131542i
$635$	−0.216026			−0.00857273
$636$	5.40817	−	1.34763i	0.214448	−	0.0534369i
$637$	21.6206	+	12.7282i	0.856639	+	0.504312i
$638$	−11.8288	−	25.0606i	−0.468307	−	0.992158i
$639$	−31.2296	+	9.49633i	−1.23542	+	0.375669i
$640$	0.478826	+	0.312453i	0.0189272	+	0.0123508i
$641$	−12.9322			−0.510791			−0.255395	−	0.966837i	$-0.582206\pi$
$641$	−12.9322			−0.510791			−0.255395	+	0.966837i	$0.582206\pi$
$642$	4.03715	−	20.2490i	0.159334	−	0.799164i
$643$	19.6606	−	34.0532i	0.775340	−	1.34293i	−0.159264	−	0.987236i	$-0.550912\pi$
$643$	19.6606	−	34.0532i	0.775340	−	1.34293i	0.934603	−	0.355692i	$-0.115755\pi$
$644$	−1.71089	+	10.0013i	−0.0674185	+	0.394106i
$645$	0.000562783	−	0.00490657i	2.21596e−5	−	0.000193196i
$646$	−23.1185	−	1.91380i	−0.909584	−	0.0752975i
$647$	8.36492	−	14.4885i	0.328859	−	0.569600i	−0.653427	−	0.756990i	$-0.726669\pi$
$647$	8.36492	−	14.4885i	0.328859	−	0.569600i	0.982286	+	0.187389i	$0.0600026\pi$
$648$	8.55185	+	23.9764i	0.335949	+	0.941880i
$649$	34.7302	−	20.0515i	1.36328	−	0.787089i
$650$	−14.4320	+	20.8174i	−0.566071	+	0.816526i
$651$	−0.420684	+	3.53526i	−0.0164879	+	0.138558i
$652$	19.4763	−	7.29564i	0.762753	−	0.285719i
$653$	−7.08175			−0.277130			−0.138565	−	0.990353i	$-0.544249\pi$
$653$	−7.08175			−0.277130			−0.138565	+	0.990353i	$0.544249\pi$
$654$	6.68555	+	19.7239i	0.261426	+	0.771264i
$655$		−	0.179540i		−	0.00701519i
$656$	−18.1553	−	20.8332i	−0.708847	−	0.813402i
$657$	−2.99215	+	12.8718i	−0.116735	+	0.502176i
$658$	−16.3763	−	11.4562i	−0.638413	−	0.446609i
$659$	15.3552	−	8.86531i	0.598153	−	0.345344i	−0.170162	−	0.985416i	$-0.554429\pi$
$659$	15.3552	−	8.86531i	0.598153	−	0.345344i	0.768314	+	0.640073i	$0.221096\pi$
$660$	0.635912	+	0.658686i	0.0247529	+	0.0256393i
$661$	−38.6659	+	22.3237i	−1.50393	+	0.868293i	−0.503938	+	0.863740i	$0.668116\pi$
$661$	−38.6659	+	22.3237i	−1.50393	+	0.868293i	−0.999990	+	0.00455311i	$0.998551\pi$
$662$	−10.7431	+	15.4964i	−0.417544	+	0.602285i
$663$	3.07227	−	26.7853i	0.119317	−	1.04026i
$664$	−31.8690	+	9.01991i	−1.23676	+	0.350040i
$665$	−0.438408	+	0.250643i	−0.0170007	+	0.00971952i
$666$	32.1548	+	35.4851i	1.24597	+	1.37502i
$667$	−6.22200	+	3.59227i	−0.240917	+	0.139093i
$668$	9.53939	−	11.5868i	0.369090	−	0.448306i
$669$	−1.88643	+	16.4467i	−0.0729336	+	0.635865i
$670$	0.613791	−	0.289715i	0.0237128	−	0.0111927i
$671$	25.2936	−	43.8099i	0.976450	−	1.69126i
$672$	22.5505	−	12.7857i	0.869904	−	0.493220i
$673$	7.93768	+	13.7485i	0.305975	+	0.529964i	0.977478	−	0.211038i	$-0.0676842\pi$
$673$	7.93768	+	13.7485i	0.305975	+	0.529964i	−0.671503	+	0.741002i	$0.734351\pi$
$674$	11.8123	+	8.18905i	0.454991	+	0.315430i
$675$	8.72351	−	24.4584i	0.335768	−	0.941402i
$676$	0.107986	+	0.288278i	0.00415331	+	0.0110876i
$677$	−9.62764	−	5.55852i	−0.370020	−	0.213631i	0.303447	−	0.952848i	$-0.401862\pi$
$677$	−9.62764	−	5.55852i	−0.370020	−	0.213631i	−0.673467	+	0.739217i	$0.735196\pi$
$678$	−4.91838	−	14.5103i	−0.188889	−	0.557265i
$679$	−3.58773	+	2.05115i	−0.137685	+	0.0787160i
$680$	0.445067	+	0.432761i	0.0170675	+	0.0165956i
$681$	8.85990	+	6.56633i	0.339512	+	0.251622i
$682$	−2.45271	−	5.19633i	−0.0939192	−	0.198978i
$683$	26.9135	+	15.5385i	1.02982	+	0.594565i	0.916932	−	0.399043i	$-0.130658\pi$
$683$	26.9135	+	15.5385i	1.02982	+	0.594565i	0.112884	+	0.993608i	$0.463991\pi$
$684$	17.9909	−	13.7794i	0.687899	−	0.526870i
$685$			0.876548i			0.0334912i
$686$	−2.49256	+	26.0727i	−0.0951664	+	0.995461i
$687$	20.2658	−	27.3445i	0.773188	−	1.04326i
$688$	0.221490	−	0.0433376i	0.00844423	−	0.00165223i
$689$	4.99410	−	2.88334i	0.190260	−	0.109847i
$690$	0.156586	−	0.178392i	0.00596112	−	0.00679126i
$691$	−7.34861	+	12.7282i	−0.279554	+	0.484202i	−0.971274	−	0.237964i	$-0.923520\pi$
$691$	−7.34861	+	12.7282i	−0.279554	+	0.484202i	0.691720	+	0.722166i	$0.256853\pi$
$692$	33.6460	+	27.7007i	1.27903	+	1.05302i
$693$	39.7663	−	11.9083i	1.51060	−	0.452359i
$694$	−0.779139	−	1.65069i	−0.0295757	−	0.0626592i
$695$	0.539067	+	0.311230i	0.0204480	+	0.0118056i
$696$	17.1659	+	6.50020i	0.650673	+	0.246389i
$697$	−15.0018	−	25.9839i	−0.568234	−	0.984210i
$698$	7.51830	+	15.9283i	0.284572	+	0.602896i
$699$	1.68501	−	14.6906i	0.0637328	−	0.555648i
$700$	−26.0654	−	4.45892i	−0.985178	−	0.168531i
$701$	−5.95864			−0.225055			−0.112527	−	0.993649i	$-0.535895\pi$
$701$	−5.95864			−0.225055			−0.112527	+	0.993649i	$0.535895\pi$
$702$	15.3461	+	21.4052i	0.579203	+	0.807889i
$703$	21.3150	−	36.9187i	0.803911	−	1.39242i
$704$	−19.8957	+	36.8060i	−0.749848	+	1.38718i
$705$	0.186107	+	0.428902i	0.00700921	+	0.0161534i
$706$	−22.2067	−	1.83832i	−0.835759	−	0.0691861i
$707$	−0.0903733	+	21.3200i	−0.00339884	+	0.801822i
$708$	−7.32517	+	25.5328i	−0.275297	+	0.959581i
$709$	1.37105	−	2.37473i	0.0514910	−	0.0891849i	−0.839131	−	0.543929i	$-0.816936\pi$
$709$	1.37105	−	2.37473i	0.0514910	−	0.0891849i	0.890622	+	0.454744i	$0.150269\pi$
$710$	0.0641536	−	0.774967i	0.00240764	−	0.0290840i
$711$	−2.34938	+	10.1067i	−0.0881085	+	0.379030i
$712$	3.72210	+	13.1509i	0.139491	+	0.492849i
$713$	−1.29014	+	0.744861i	−0.0483160	+	0.0278952i
$714$	26.6942	−	8.92223i	0.999005	−	0.333906i
$715$	0.820375	+	0.473644i	0.0306803	+	0.0177133i
$716$	−20.6088	−	16.9672i	−0.770189	−	0.634095i
$717$	−1.32061	−	3.04346i	−0.0493189	−	0.113660i
$718$	−1.67405	−	3.54664i	−0.0624748	−	0.132360i
$719$	14.2180	+	24.6263i	0.530241	+	0.918405i	0.999378	+	0.0352789i	$0.0112319\pi$
$719$	14.2180	+	24.6263i	0.530241	+	0.918405i	−0.469136	+	0.883126i	$0.655435\pi$
$720$	−0.606060	−	0.0213294i	−0.0225865	−	0.000794900i
$721$	−49.7884	−	0.211048i	−1.85422	−	0.00785983i
$722$	5.50301	+	3.81506i	0.204801	+	0.141982i
$723$	−10.9677	+	14.7986i	−0.407893	+	0.550367i
$724$	3.98909	−	23.9287i	0.148253	−	0.889304i
$725$	−9.36218	−	16.2158i	−0.347703	−	0.602239i
$726$	−26.4227	+	30.1023i	−0.980638	+	1.11720i
$727$	−24.2547	−	42.0103i	−0.899556	−	1.55808i	−0.828063	−	0.560635i	$-0.810557\pi$
$727$	−24.2547	−	42.0103i	−0.899556	−	1.55808i	−0.0714925	−	0.997441i	$-0.522776\pi$
$728$	18.7791	−	19.1500i	0.696001	−	0.709748i
$729$	−20.9058	−	17.0865i	−0.774289	−	0.632832i
$730$	−0.258727	−	0.179367i	−0.00957591	−	0.00663866i
$731$	0.245043			0.00906323
$732$	8.10170	+	32.5130i	0.299447	+	1.20172i
$733$			53.4065i			1.97261i	0.164923	+	0.986307i	$0.447263\pi$
$733$			53.4065i			1.97261i	−0.164923	+	0.986307i	$0.552737\pi$
$734$	−3.07331	+	37.1252i	−0.113438	+	1.37032i
$735$	0.368991	−	0.489153i	0.0136104	−	0.0180427i
$736$	9.93526	+	4.35330i	0.366218	+	0.160465i
$737$	24.8338	+	43.0133i	0.914763	+	1.58442i
$738$	27.9043	+	8.96916i	1.02717	+	0.330159i
$739$	−4.34119	−	2.50638i	−0.159693	−	0.0921988i	0.418024	−	0.908436i	$-0.362723\pi$
$739$	−4.34119	−	2.50638i	−0.159693	−	0.0921988i	−0.577717	+	0.816237i	$0.696056\pi$
$740$	−1.06831	+	0.400178i	−0.0392719	+	0.0147108i
$741$	13.9609	−	18.8374i	0.512867	−	0.692008i
$742$	4.93289	+	3.45086i	0.181092	+	0.126685i
$743$	19.9322	+	11.5079i	0.731241	+	0.422182i	0.818876	−	0.573970i	$-0.194598\pi$
$743$	19.9322	+	11.5079i	0.731241	+	0.422182i	−0.0876350	+	0.996153i	$0.527931\pi$
$744$	3.55937	+	1.34782i	0.130493	+	0.0494135i
$745$		−	0.960526i		−	0.0351910i
$746$	0.324459	−	3.91943i	0.0118793	−	0.143500i
$747$	23.9973	−	25.6563i	0.878017	−	0.938714i
$748$	−28.8734	+	35.0703i	−1.05571	+	1.28230i
$749$	19.3611	−	11.0690i	0.707439	−	0.404452i
$750$	0.930086	+	0.816397i	0.0339620	+	0.0298106i
$751$		−	14.9085i		−	0.544019i	−0.962295	−	0.272010i	$-0.912312\pi$
$751$		−	14.9085i		−	0.544019i	0.962295	−	0.272010i	$-0.0876883\pi$
$752$	−16.1075	+	14.0370i	−0.587378	+	0.511877i
$753$	29.7834	+	22.0734i	1.08537	+	0.804399i
$754$	18.9268	+	1.56680i	0.689272	+	0.0570596i
$755$	−0.183471			−0.00667719
$756$	−13.4713	+	23.9692i	−0.489947	+	0.871752i
$757$	45.5610			1.65594			0.827971	−	0.560770i	$-0.189495\pi$
$757$	45.5610			1.65594			0.827971	+	0.560770i	$0.189495\pi$
$758$	43.5041	+	3.60137i	1.58014	+	0.130808i
$759$	13.9550	+	10.3425i	0.506536	+	0.375408i
$760$	0.147023	+	0.519461i	0.00533309	+	0.0188428i
$761$		−	15.6147i		−	0.566034i	−0.959115	−	0.283017i	$-0.908665\pi$
$761$		−	15.6147i		−	0.566034i	0.959115	−	0.283017i	$-0.0913353\pi$
$762$	7.86927	+	6.90736i	0.285073	+	0.250227i
$763$	−11.3299	+	19.4332i	−0.410169	+	0.703529i
$764$	−7.25901	−	5.97633i	−0.262622	−	0.216216i
$765$	−0.641336	−	0.149084i	−0.0231875	−	0.00539013i
$766$	1.12997	−	13.6499i	0.0408276	−	0.493192i
$767$			27.4833i			0.992363i
$768$	−7.45181	−	26.6921i	−0.268894	−	0.963170i
$769$	25.3443	+	14.6326i	0.913940	+	0.527664i	0.881697	−	0.471816i	$-0.156401\pi$
$769$	25.3443	+	14.6326i	0.913940	+	0.527664i	0.0322436	+	0.999480i	$0.489735\pi$
$770$	−0.0857628	+	0.985193i	−0.00309068	+	0.0355039i
$771$	17.4580	−	23.5559i	0.628734	−	0.848346i
$772$	18.8569	+	50.3403i	0.678676	+	1.81179i
$773$	−14.6242	−	8.44327i	−0.525995	−	0.303683i	0.213389	−	0.976967i	$-0.431550\pi$
$773$	−14.6242	−	8.44327i	−0.525995	−	0.303683i	−0.739384	+	0.673284i	$0.764883\pi$
$774$	−0.177387	+	0.160739i	−0.00637604	+	0.00577764i
$775$	−1.94126	−	3.36235i	−0.0697319	−	0.120779i
$776$	1.20317	+	4.25104i	0.0431914	+	0.152603i
$777$	−6.11180	+	51.3611i	−0.219260	+	1.84257i
$778$	2.11070	−	25.4970i	0.0756724	−	0.914113i
$779$		−	26.0929i		−	0.934876i
$780$	−0.608832	+	0.151711i	−0.0217997	+	0.00543212i
$781$	56.9039			2.03618
$782$	9.67883	+	6.71001i	0.346114	+	0.239950i
$783$	−19.1508	+	3.50459i	−0.684395	+	0.125244i
$784$	26.4078	+	9.30738i	0.943136	+	0.332406i
$785$	0.361646	+	0.626389i	0.0129077	+	0.0223568i
$786$	−5.74072	+	6.54016i	−0.204765	+	0.233280i
$787$	6.90887	+	11.9665i	0.246274	+	0.426560i	0.962489	−	0.271320i	$-0.0874602\pi$
$787$	6.90887	+	11.9665i	0.246274	+	0.426560i	−0.716215	+	0.697880i	$0.754127\pi$
$788$	21.2578	+	3.54382i	0.757276	+	0.126243i
$789$	−4.46258	+	6.02132i	−0.158872	+	0.214365i
$790$	−0.203147	−	0.140835i	−0.00722766	−	0.00501070i
$791$	8.33507	−	14.2965i	0.296361	−	0.508324i
$792$	−2.10336	−	44.3273i	−0.0747395	−	1.57510i
$793$	17.3342	+	30.0237i	0.615554	+	1.06617i
$794$	−8.88050	−	18.8143i	−0.315157	−	0.667694i
$795$	−0.0560596	−	0.129195i	−0.00198823	−	0.00458206i
$796$	9.73350	−	11.8226i	0.344995	−	0.419040i
$797$	−38.4431	−	22.1951i	−1.36172	−	0.786191i	−0.371870	−	0.928285i	$-0.621283\pi$
$797$	−38.4431	−	22.1951i	−1.36172	−	0.786191i	−0.989853	+	0.142094i	$0.954617\pi$
$798$	23.9843	+	4.88768i	0.849035	+	0.173022i
$799$	−20.0897	+	11.5988i	−0.710723	+	0.410336i
$800$	−11.3456	+	25.8933i	−0.401127	+	0.915465i
$801$	−10.5872	−	9.90259i	−0.374079	−	0.349891i
$802$	−3.54624	+	42.8381i	−0.125222	+	1.51267i
$803$	11.5188	−	19.9512i	0.406491	−	0.704063i
$804$	−31.6223	−	9.07222i	−1.11523	−	0.319953i
$805$	0.256383	+	0.00108678i	0.00903630	+	3.83039e-5i
$806$	3.92448	+	0.324877i	0.138234	+	0.0114433i
$807$	−7.21628	−	16.6306i	−0.254025	−	0.585425i
$808$	22.0962	+	5.58990i	0.777340	+	0.196652i
$809$	18.6016	−	32.2189i	0.653996	−	1.13275i	−0.328148	−	0.944626i	$-0.606424\pi$
$809$	18.6016	−	32.2189i	0.653996	−	1.13275i	0.982144	−	0.188129i	$-0.0602422\pi$
$810$	0.562057	−	0.312770i	0.0197487	−	0.0109896i
$811$	8.61136			0.302386			0.151193	−	0.988504i	$-0.451689\pi$
$811$	8.61136			0.302386			0.151193	+	0.988504i	$0.451689\pi$
$812$	6.87597	+	18.5956i	0.241299	+	0.652578i
$813$	2.24720	−	19.5920i	0.0788129	−	0.687123i
$814$	−35.6336	−	75.4936i	−1.24896	−	2.64605i
$815$	−0.262762	−	0.455118i	−0.00920417	−	0.0159421i
$816$	−2.37522	−	29.9952i	−0.0831494	−	1.05004i
$817$	0.184553	+	0.106552i	0.00645670	+	0.00372777i
$818$	−6.86595	−	14.5462i	−0.240062	−	0.508597i
$819$	−6.55868	+	27.6819i	−0.229179	+	0.967283i
$820$	−0.443815	+	0.539069i	−0.0154987	+	0.0188251i
$821$	−10.8320	+	18.7616i	−0.378040	+	0.654785i	−0.990777	−	0.135502i	$-0.956735\pi$
$821$	−10.8320	+	18.7616i	−0.378040	+	0.654785i	0.612737	+	0.790287i	$0.290069\pi$
$822$	28.0274	−	31.9304i	0.977567	−	1.11370i
$823$	42.8261	−	24.7257i	1.49283	−	0.861883i	0.492859	−	0.870109i	$-0.335952\pi$
$823$	42.8261	−	24.7257i	1.49283	−	0.861883i	0.999966	+	0.00822630i	$0.00261854\pi$
$824$	−13.0540	+	51.6009i	−0.454759	+	1.79760i
$825$	−26.9546	+	36.3696i	−0.938438	+	1.26623i
$826$	−25.9977	+	12.1366i	−0.904575	+	0.422288i
$827$			27.3297i			0.950346i	0.879892	+	0.475173i	$0.157615\pi$
$827$			27.3297i			0.950346i	−0.879892	+	0.475173i	$0.842385\pi$
$828$	−11.4080	+	1.49156i	−0.396457	+	0.0518353i
$829$	9.04573	+	5.22255i	0.314171	+	0.181387i	0.648791	−	0.760966i	$-0.275275\pi$
$829$	9.04573	+	5.22255i	0.314171	+	0.181387i	−0.334620	+	0.942353i	$0.608608\pi$
$830$	0.357230	+	0.756831i	0.0123997	+	0.0262700i
$831$	22.3070	+	16.5324i	0.773821	+	0.573501i
$832$	−15.0270	−	24.4200i	−0.520967	−	0.846613i
$833$	26.1982	+	15.4231i	0.907713	+	0.534380i
$834$	−9.68532	−	28.5738i	−0.335375	−	0.989431i
$835$	−0.328428	−	0.189618i	−0.0113657	−	0.00656199i
$836$	−36.9955	+	13.8581i	−1.27952	+	0.479293i
$837$	−3.97094	+	0.726678i	−0.137256	+	0.0251177i
$838$	−34.5712	−	23.9670i	−1.19424	−	0.827928i
$839$	−21.7591	−	37.6879i	−0.751208	−	1.30113i	−0.947238	−	0.320532i	$-0.896138\pi$
$839$	−21.7591	−	37.6879i	−0.751208	−	1.30113i	0.196030	−	0.980598i	$-0.437195\pi$
$840$	−0.412372	−	0.508927i	−0.0142282	−	0.0175597i
$841$	7.48080	−	12.9571i	0.257958	−	0.446797i
$842$	−6.95490	+	3.28277i	−0.239682	+	0.113132i
$843$	0.420906	−	3.66963i	0.0144968	−	0.126389i
$844$	7.97386	+	6.56487i	0.274472	+	0.225972i
$845$	0.00673641	−	0.00388927i	0.000231739	−	0.000133795i
$846$	6.93460	−	21.5745i	0.238417	−	0.741747i
$847$	−43.2626	−	0.183386i	−1.48652	−	0.00630121i
$848$	4.85192	−	4.22825i	0.166616	−	0.145199i
$849$	−4.33697	+	37.8114i	−0.148844	+	1.29768i
$850$	−17.4876	+	25.2250i	−0.599821	+	0.865209i
$851$	−18.7434	+	10.8215i	−0.642516	+	0.370957i
$852$	−27.1163	+	26.1788i	−0.928989	+	0.896870i
$853$	−14.1948	+	8.19537i	−0.486020	+	0.280604i	−0.722922	−	0.690930i	$-0.757201\pi$
$853$	−14.1948	+	8.19537i	−0.486020	+	0.280604i	0.236902	+	0.971534i	$0.423868\pi$
$854$	−20.7460	+	29.6557i	−0.709913	+	1.01480i
$855$	−0.418194	−	0.391154i	−0.0143019	−	0.0133772i
$856$	−6.49288	−	22.9406i	−0.221922	−	0.784093i
$857$			14.0660i			0.480485i	0.970713	+	0.240243i	$0.0772270\pi$
$857$			14.0660i			0.480485i	−0.970713	+	0.240243i	$0.922773\pi$
$858$	−14.7395	−	43.4849i	−0.503199	−	1.48455i
$859$	−54.8880			−1.87276			−0.936378	−	0.350993i	$-0.885844\pi$
$859$	−54.8880			−1.87276			−0.936378	+	0.350993i	$0.885844\pi$
$860$	−0.00200045	−	0.00534039i	−6.82149e−5	−	0.000182106i
$861$	12.4788	+	29.0957i	0.425276	+	0.991578i
$862$	12.3990	−	17.8848i	0.422310	−	0.609159i
$863$	22.6425	−	13.0727i	0.770760	−	0.444998i	−0.0623858	−	0.998052i	$-0.519871\pi$
$863$	22.6425	−	13.0727i	0.770760	−	0.444998i	0.833146	+	0.553054i	$0.186538\pi$
$864$	21.3952	+	20.1555i	0.727879	+	0.685706i
$865$	0.550617	−	0.953696i	0.0187215	−	0.0324266i
$866$	28.7331	+	2.37859i	0.976390	+	0.0808279i
$867$	0.367423	−	3.20334i	0.0124783	−	0.108791i
$868$	1.42574	+	3.85581i	0.0483927	+	0.130875i
$869$	9.04437	−	15.6653i	0.306809	−	0.531409i
$870$	0.0906869	−	0.454855i	0.00307457	−	0.0154210i
$871$	−34.0380			−1.15333
$872$	17.2411	+	16.7644i	0.583858	+	0.567715i
$873$	−3.42231	−	3.20103i	−0.115828	−	0.108338i
$874$	4.37187	+	9.26226i	0.147881	+	0.313301i
$875$	−0.00566617	+	1.33671i	−0.000191552	+	0.0451890i
$876$	3.68955	+	14.8066i	0.124658	+	0.500268i
$877$	19.5584			0.660439			0.330219	−	0.943904i	$-0.392877\pi$
$877$	19.5584			0.660439			0.330219	+	0.943904i	$0.392877\pi$
$878$	−5.10510	−	3.53920i	−0.172289	−	0.119442i
$879$	−17.7789	−	40.9732i	−0.599668	−	1.38199i
$880$	1.00003	+	0.342954i	0.0337109	+	0.0115610i
$881$		−	9.97088i		−	0.335928i	−0.985793	−	0.167964i	$-0.946281\pi$
$881$		−	9.97088i		−	0.335928i	0.985793	−	0.167964i	$-0.0537192\pi$
$882$	−29.0819	+	6.02020i	−0.979239	+	0.202711i
$883$		−	50.5277i		−	1.70039i	−0.526467	−	0.850196i	$-0.676484\pi$
$883$		−	50.5277i		−	1.70039i	0.526467	−	0.850196i	$-0.323516\pi$
$884$	−10.9206	−	29.1535i	−0.367300	−	0.980540i
$885$	0.666819	+	0.0764841i	0.0224149	+	0.00257099i
$886$	−30.1144	+	43.4384i	−1.01171	+	1.45934i
$887$	−4.22445			−0.141843			−0.0709215	−	0.997482i	$-0.522594\pi$
$887$	−4.22445			−0.141843			−0.0709215	+	0.997482i	$0.522594\pi$
$888$	51.7114	+	19.5815i	1.73532	+	0.657111i
$889$	−0.0479403	+	11.3096i	−0.00160787	+	0.379313i
$890$	0.312309	−	0.147412i	0.0104686	−	0.00494128i
$891$	26.2028	+	39.1013i	0.877828	+	1.30994i
$892$	6.70545	+	17.9008i	0.224515	+	0.599363i
$893$	−20.1740			−0.675098
$894$	−30.7125	+	34.9895i	−1.02718	+	1.17022i
$895$	−0.337264	+	0.584158i	−0.0112735	+	0.0195262i
$896$	16.4641	−	24.9987i	0.550027	−	0.835147i
$897$	−10.9201	+	4.73840i	−0.364611	+	0.158211i
$898$	2.02635	−	24.4780i	0.0676200	−	0.816841i
$899$	−1.45544	+	2.52089i	−0.0485415	+	0.0840764i
$900$	−3.88731	−	29.7316i	−0.129577	−	0.991054i
$901$	6.05147	−	3.49382i	0.201604	−	0.116396i
$902$	−41.9925	−	29.1120i	−1.39820	−	0.969323i
$903$	−0.256749	−	0.0305523i	−0.00854408	−	0.00101672i
$904$	−12.6838	−	12.3331i	−0.421858	−	0.410194i
$905$	−0.612978			−0.0203761
$906$	6.68337	+	5.86642i	0.222040	+	0.194899i
$907$			48.9786i			1.62631i	0.582049	+	0.813153i	$0.302251\pi$
$907$			48.9786i			1.62631i	−0.582049	+	0.813153i	$0.697749\pi$
$908$	12.5606	+	2.09394i	0.416838	+	0.0694898i
$909$	−23.1292	+	7.03315i	−0.767146	+	0.233275i
$910$	−0.555327	−	0.388485i	−0.0184089	−	0.0128782i
$911$	18.3776	−	10.6103i	0.608878	−	0.351536i	−0.163648	−	0.986519i	$-0.552326\pi$
$911$	18.3776	−	10.6103i	0.608878	−	0.351536i	0.772526	+	0.634983i	$0.218993\pi$
$912$	11.2539	−	23.6236i	0.372655	−	0.782257i
$913$	−53.0373	+	30.6211i	−1.75528	+	1.01341i
$914$	−34.2038	−	23.7123i	−1.13136	−	0.784335i
$915$	0.776696	−	0.337021i	0.0256768	−	0.0111416i
$916$	6.46256	−	38.7660i	0.213529	−	1.28086i
$917$	−9.39945	−	0.0398433i	−0.310397	−	0.00131574i
$918$	18.5953	+	25.9372i	0.613736	+	0.856056i
$919$	−8.84718	+	5.10792i	−0.291842	+	0.168495i	−0.638772	−	0.769396i	$-0.720557\pi$
$919$	−8.84718	+	5.10792i	−0.291842	+	0.168495i	0.346931	+	0.937891i	$0.387224\pi$
$920$	0.0672210	−	0.265716i	0.00221621	−	0.00876040i
$921$	−14.7750	−	10.9502i	−0.486851	−	0.360820i
$922$	−20.5644	−	43.5680i	−0.677254	−	1.43483i
$923$	−19.4986	+	33.7726i	−0.641805	+	1.11164i
$924$	34.6254	−	33.1458i	1.13909	−	1.09042i
$925$	−28.2030	−	48.8491i	−0.927310	−	1.60615i
$926$	19.3714	−	27.9422i	0.636583	−	0.918237i
$927$	−16.4244	−	54.0133i	−0.539449	−	1.77403i
$928$	21.0655	−	2.34000i	0.691507	−	0.0768141i
$929$	−19.2858	−	11.1346i	−0.632746	−	0.365316i	0.149069	−	0.988827i	$-0.452372\pi$
$929$	−19.2858	−	11.1346i	−0.632746	−	0.365316i	−0.781815	+	0.623511i	$0.785706\pi$
$930$	0.0188040	−	0.0943145i	0.000616607	−	0.00309269i
$931$	13.0246	+	23.0076i	0.426866	+	0.754044i
$932$	−5.98948	−	15.9894i	−0.196192	−	0.523751i
$933$	4.47569	−	39.0209i	0.146528	−	1.27749i
$934$	−29.7764	+	14.0547i	−0.974313	+	0.459884i
$935$	0.994068	+	0.573926i	0.0325095	+	0.0187694i
$936$	27.0291	+	13.9408i	0.883474	+	0.455669i
$937$		−	54.2731i		−	1.77302i	−0.462705	−	0.886512i	$-0.653121\pi$
$937$		−	54.2731i		−	1.77302i	0.462705	−	0.886512i	$-0.346879\pi$
$938$	−15.0312	−	32.1981i	−0.490787	−	1.05131i
$939$	18.5140	+	42.6674i	0.604183	+	1.39240i
$940$	0.416787	+	0.343140i	0.0135941	+	0.0111920i
$941$	13.7813	−	7.95667i	0.449259	−	0.259380i	−0.258258	−	0.966076i	$-0.583148\pi$
$941$	13.7813	−	7.95667i	0.449259	−	0.259380i	0.707517	+	0.706696i	$0.249815\pi$
$942$	6.85477	−	34.3812i	0.223340	−	1.12020i
$943$	−6.62361	+	11.4724i	−0.215695	+	0.373594i
$944$	5.88973	+	30.1013i	0.191694	+	0.979712i
$945$	0.653386	+	0.236169i	0.0212547	+	0.00768256i
$946$	0.377385	−	0.178129i	0.0122699	−	0.00579148i
$947$	−12.2761	−	7.08761i	−0.398920	−	0.230316i	0.287098	−	0.957901i	$-0.407309\pi$
$947$	−12.2761	−	7.08761i	−0.398920	−	0.230316i	−0.686018	+	0.727585i	$0.740643\pi$
$948$	2.89696	+	11.6258i	0.0940890	+	0.377590i
$949$	7.89406	+	13.6729i	0.256252	+	0.443841i
$950$	−24.1393	+	11.3940i	−0.783183	+	0.369669i
$951$	−0.0653155	+	0.0283414i	−0.00211800	+	0.000919033i
$952$	22.7551	−	23.2046i	0.737498	−	0.752064i
$953$	18.0983			0.586261			0.293130	−	0.956072i	$-0.405303\pi$
$953$	18.0983			0.586261			0.293130	+	0.956072i	$0.405303\pi$
$954$	−2.08886	+	6.49872i	−0.0676292	+	0.210404i
$955$	−0.118794	+	0.205757i	−0.00384407	+	0.00665813i
$956$	−2.95750	−	2.43490i	−0.0956523	−	0.0787504i
$957$	33.7190	+	3.86757i	1.08998	+	0.125021i
$958$	−2.44710	+	29.5607i	−0.0790623	+	0.955062i
$959$	45.8900	+	0.194523i	1.48187	+	0.00628147i
$960$	−0.634317	+	0.296637i	−0.0204725	+	0.00957391i
$961$	15.1982	−	26.3241i	0.490265	−	0.849164i
$962$	57.0158	+	4.71990i	1.83826	+	0.152176i
$963$	18.4684	+	17.2742i	0.595136	+	0.556654i
$964$	−3.49749	+	20.9798i	−0.112647	+	0.675715i
$965$	1.17634	−	0.679159i	0.0378677	−	0.0218629i
$966$	−9.30460	−	8.23734i	−0.299371	−	0.265032i
$967$	9.01849	+	5.20683i	0.290015	+	0.167440i	0.637949	−	0.770079i	$-0.279783\pi$
$967$	9.01849	+	5.20683i	0.290015	+	0.167440i	−0.347934	+	0.937519i	$0.613117\pi$
$968$	−11.3430	+	44.8376i	−0.364579	+	1.44113i
$969$	16.9168	−	22.8257i	0.543445	−	0.733266i
$970$	0.100954	−	0.0476513i	0.00324145	−	0.00152999i
$971$	8.08607	+	14.0055i	0.259494	+	0.449457i	0.966107	−	0.258144i	$-0.0831108\pi$
$971$	8.08607	+	14.0055i	0.259494	+	0.449457i	−0.706612	+	0.707601i	$0.749777\pi$
$972$	−30.4750	−	6.57819i	−0.977487	−	0.210996i
$973$	16.4135	−	28.1527i	0.526193	−	0.902536i
$974$	16.4836	−	23.7767i	0.528168	−	0.761853i
$975$	−12.3492	−	28.4600i	−0.395491	−	0.911448i
$976$	25.4195	+	29.1689i	0.813659	+	0.933674i
$977$	−1.70915	−	2.96034i	−0.0546806	−	0.0947096i	0.837389	−	0.546607i	$-0.184081\pi$
$977$	−1.70915	−	2.96034i	−0.0546806	−	0.0947096i	−0.892070	+	0.451897i	$0.850747\pi$
$978$	−4.98050	+	24.9805i	−0.159259	+	0.798789i
$979$	12.6359	+	21.8860i	0.403845	+	0.699480i
$980$	0.122253	−	0.696865i	0.00390523	−	0.0222605i
$981$	−24.8443	−	5.77525i	−0.793216	−	0.184389i
$982$	−13.6408	+	19.6761i	−0.435294	+	0.627888i
$983$	−50.3800			−1.60687			−0.803437	−	0.595390i	$-0.796998\pi$
$983$	−50.3800			−1.60687			−0.803437	+	0.595390i	$0.796998\pi$
$984$	33.4036	−	5.44605i	1.06487	−	0.173614i
$985$		−	0.544556i		−	0.0173510i
$986$	22.9340	+	1.89853i	0.730367	+	0.0604615i
$987$	22.4956	−	9.64811i	0.716044	−	0.307103i
$988$	4.45200	−	26.7055i	0.141637	−	0.849615i
$989$	−0.0540957	−	0.0936966i	−0.00172014	−	0.00297938i
$990$	−1.09608	+	0.236606i	−0.0348358	+	0.00751983i
$991$	3.64655	+	2.10534i	0.115837	+	0.0668782i	0.556799	−	0.830647i	$-0.312029\pi$
$991$	3.64655	+	2.10534i	0.115837	+	0.0668782i	−0.440962	+	0.897526i	$0.645363\pi$
$992$	4.36794	−	0.485200i	0.138682	−	0.0154051i
$993$	−9.19271	−	21.1855i	−0.291722	−	0.672301i
$994$	−40.5577	−	3.53062i	−1.28641	−	0.111984i
$995$	−0.335111	−	0.193476i	−0.0106237	−	0.00613361i
$996$	11.1864	−	38.9917i	0.354456	−	1.23550i
$997$		−	13.0917i		−	0.414617i	−0.978276	−	0.207309i	$-0.933530\pi$
$997$		−	13.0917i		−	0.414617i	0.978276	−	0.207309i	$-0.0664704\pi$
$998$	−41.0724	−	3.40007i	−1.30012	−	0.107627i
$999$	−57.6908	+	10.5574i	−1.82526	+	0.334020i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	252.2.n.b.31.20	yes	84
3.2	odd	2		756.2.n.b.199.23		84
4.3	odd	2	inner	252.2.n.b.31.9	✓	84
7.5	odd	6		252.2.bj.b.103.37	yes	84
9.2	odd	6		756.2.bj.b.451.6		84
9.7	even	3		252.2.bj.b.115.37	yes	84
12.11	even	2		756.2.n.b.199.34		84
21.5	even	6		756.2.bj.b.523.6		84
28.19	even	6		252.2.bj.b.103.38	yes	84
36.7	odd	6		252.2.bj.b.115.38	yes	84
36.11	even	6		756.2.bj.b.451.5		84
63.47	even	6		756.2.n.b.19.34		84
63.61	odd	6	inner	252.2.n.b.187.9	yes	84
84.47	odd	6		756.2.bj.b.523.5		84
252.47	odd	6		756.2.n.b.19.23		84
252.187	even	6	inner	252.2.n.b.187.20	yes	84

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
252.2.n.b.31.9	✓	84	4.3	odd	2	inner
252.2.n.b.31.20	yes	84	1.1	even	1	trivial
252.2.n.b.187.9	yes	84	63.61	odd	6	inner
252.2.n.b.187.20	yes	84	252.187	even	6	inner
252.2.bj.b.103.37	yes	84	7.5	odd	6
252.2.bj.b.103.38	yes	84	28.19	even	6
252.2.bj.b.115.37	yes	84	9.7	even	3
252.2.bj.b.115.38	yes	84	36.7	odd	6
756.2.n.b.19.23		84	252.47	odd	6
756.2.n.b.19.34		84	63.47	even	6
756.2.n.b.199.23		84	3.2	odd	2
756.2.n.b.199.34		84	12.11	even	2
756.2.bj.b.451.5		84	36.11	even	6
756.2.bj.b.451.6		84	9.2	odd	6
756.2.bj.b.523.5		84	84.47	odd	6
756.2.bj.b.523.6		84	21.5	even	6

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:	\( N \)	\(=\)	\( 252 = 2^{2} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	252.n (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.116673 + 1.40939i) q^{2} +(-1.39154 - 1.03131i) q^{3} +(-1.97277 - 0.328876i) q^{4} +0.0505362i q^{5} +(1.61588 - 1.84090i) q^{6} +(2.64573 + 0.0112150i) q^{7} +(0.693684 - 2.74204i) q^{8} +(0.872785 + 2.87023i) q^{9} +O(q^{10})\)	\(q+(-0.116673 + 1.40939i) q^{2} +(-1.39154 - 1.03131i) q^{3} +(-1.97277 - 0.328876i) q^{4} +0.0505362i q^{5} +(1.61588 - 1.84090i) q^{6} +(2.64573 + 0.0112150i) q^{7} +(0.693684 - 2.74204i) q^{8} +(0.872785 + 2.87023i) q^{9} +(-0.0712254 - 0.00589621i) q^{10} -5.22990i q^{11} +(2.40603 + 2.49219i) q^{12} +(3.10396 + 1.79207i) q^{13} +(-0.324491 + 3.72756i) q^{14} +(0.0521187 - 0.0703234i) q^{15} +(3.78368 + 1.29760i) q^{16} +(3.76114 + 2.17150i) q^{17} +(-4.14712 + 0.895219i) q^{18} +(1.88846 + 3.27091i) q^{19} +(0.0166201 - 0.0996966i) q^{20} +(-3.67008 - 2.74418i) q^{21} +(7.37099 + 0.610188i) q^{22} -1.91752i q^{23} +(-3.79320 + 3.10027i) q^{24} +4.99745 q^{25} +(-2.88788 + 4.16561i) q^{26} +(1.74559 - 4.89417i) q^{27} +(-5.21574 - 0.892240i) q^{28} +(-1.87339 - 3.24481i) q^{29} +(0.0930324 + 0.0816605i) q^{30} +(-0.388449 - 0.672814i) q^{31} +(-2.27027 + 5.18130i) q^{32} +(-5.39367 + 7.27764i) q^{33} +(-3.49931 + 5.04757i) q^{34} +(-0.000566762 + 0.133705i) q^{35} +(-0.777859 - 5.94936i) q^{36} +(-5.64349 - 9.77481i) q^{37} +(-4.83033 + 2.27996i) q^{38} +(-2.47111 - 5.69490i) q^{39} +(0.138573 + 0.0350562i) q^{40} +(-5.98295 - 3.45426i) q^{41} +(4.29583 - 4.85241i) q^{42} +(0.0488634 - 0.0282113i) q^{43} +(-1.71999 + 10.3174i) q^{44} +(-0.145051 + 0.0441073i) q^{45} +(2.70254 + 0.223723i) q^{46} +(-2.67070 + 4.62578i) q^{47} +(-3.92693 - 5.70782i) q^{48} +(6.99975 + 0.0593434i) q^{49} +(-0.583066 + 7.04336i) q^{50} +(-2.99430 - 6.90065i) q^{51} +(-5.53404 - 4.55617i) q^{52} +(0.804472 - 1.39339i) q^{53} +(6.69414 + 3.03124i) q^{54} +0.264300 q^{55} +(1.86605 - 7.24692i) q^{56} +(0.745459 - 6.49921i) q^{57} +(4.79179 - 2.26176i) q^{58} +(3.83401 + 6.64069i) q^{59} +(-0.125946 + 0.121592i) q^{60} +(8.37680 + 4.83635i) q^{61} +(0.993581 - 0.468979i) q^{62} +(2.27696 + 7.60365i) q^{63} +(-7.03760 - 3.80422i) q^{64} +(-0.0905646 + 0.156862i) q^{65} +(-9.62775 - 8.45090i) q^{66} +(-8.22450 + 4.74842i) q^{67} +(-6.70573 - 5.52082i) q^{68} +(-1.97757 + 2.66832i) q^{69} +(-0.188377 - 0.0163985i) q^{70} +10.8805i q^{71} +(8.47574 - 0.402179i) q^{72} +(3.81483 + 2.20250i) q^{73} +(14.4350 - 6.81344i) q^{74} +(-6.95416 - 5.15393i) q^{75} +(-2.64979 - 7.07384i) q^{76} +(0.0586531 - 13.8369i) q^{77} +(8.31466 - 2.81832i) q^{78} +(2.99533 + 1.72936i) q^{79} +(-0.0655756 + 0.191213i) q^{80} +(-7.47649 + 5.01020i) q^{81} +(5.56645 - 8.02930i) q^{82} +(-5.85500 - 10.1412i) q^{83} +(6.33774 + 6.62065i) q^{84} +(-0.109739 + 0.190074i) q^{85} +(0.0340597 + 0.0721591i) q^{86} +(-0.739511 + 6.44735i) q^{87} +(-14.3406 - 3.62790i) q^{88} +(-4.18478 + 2.41609i) q^{89} +(-0.0452410 - 0.209580i) q^{90} +(8.19213 + 4.77614i) q^{91} +(-0.630626 + 3.78284i) q^{92} +(-0.153338 + 1.33686i) q^{93} +(-6.20794 - 4.30376i) q^{94} +(-0.165300 + 0.0954357i) q^{95} +(8.50273 - 4.86864i) q^{96} +(-1.35274 + 0.781004i) q^{97} +(-0.900319 + 9.85847i) q^{98} +(15.0110 - 4.56458i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9}+O(q^{10}) \) 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9	\( 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9} - 18 q^{10} + 9 q^{12} - 18 q^{13} - 25 q^{14} - 7 q^{16} + 6 q^{17} - 13 q^{18} + 24 q^{20} + 4 q^{21} + 6 q^{22} + 6 q^{24} - 32 q^{25} - 30 q^{26} - 4 q^{28} + 10 q^{29} + 14 q^{30} + 9 q^{32} - 6 q^{33} + 24 q^{34} - 38 q^{36} + 2 q^{37} - 6 q^{41} + 7 q^{42} - 13 q^{44} - 18 q^{45} + 10 q^{46} - 9 q^{48} + 2 q^{49} - 17 q^{50} - 2 q^{53} - 42 q^{54} - 32 q^{56} + 6 q^{57} + 26 q^{58} + 8 q^{60} - 24 q^{61} - 8 q^{64} + 50 q^{65} + 27 q^{66} + 18 q^{69} - 4 q^{70} - 7 q^{72} + 30 q^{73} + 46 q^{74} + 46 q^{77} + 15 q^{78} + 3 q^{80} - 26 q^{81} - 18 q^{82} + 29 q^{84} - 50 q^{85} + 18 q^{86} - 2 q^{88} - 102 q^{89} + 39 q^{90} + 28 q^{92} - 24 q^{93} + 3 q^{94} - 30 q^{96} - 6 q^{97} + 21 q^{98}+O(q^{100}) \) 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9 - 18 * q^10 + 9 * q^12 - 18 * q^13 - 25 * q^14 - 7 * q^16 + 6 * q^17 - 13 * q^18 + 24 * q^20 + 4 * q^21 + 6 * q^22 + 6 * q^24 - 32 * q^25 - 30 * q^26 - 4 * q^28 + 10 * q^29 + 14 * q^30 + 9 * q^32 - 6 * q^33 + 24 * q^34 - 38 * q^36 + 2 * q^37 - 6 * q^41 + 7 * q^42 - 13 * q^44 - 18 * q^45 + 10 * q^46 - 9 * q^48 + 2 * q^49 - 17 * q^50 - 2 * q^53 - 42 * q^54 - 32 * q^56 + 6 * q^57 + 26 * q^58 + 8 * q^60 - 24 * q^61 - 8 * q^64 + 50 * q^65 + 27 * q^66 + 18 * q^69 - 4 * q^70 - 7 * q^72 + 30 * q^73 + 46 * q^74 + 46 * q^77 + 15 * q^78 + 3 * q^80 - 26 * q^81 - 18 * q^82 + 29 * q^84 - 50 * q^85 + 18 * q^86 - 2 * q^88 - 102 * q^89 + 39 * q^90 + 28 * q^92 - 24 * q^93 + 3 * q^94 - 30 * q^96 - 6 * q^97 + 21 * q^98

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