LMFDB - Embedded newform 126.2.l.a.5.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [126,2,Mod(5,126)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(126, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([5, 5]))

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

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

chi := DirichletCharacter("126.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 126 = 2 \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	126.l (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:	$1.00611506547$
Analytic rank:	$0$
Dimension:	$16$
Relative dimension:	$8$ over $\Q(\zeta_{6})$
Coefficient field:	$\mathbb{Q}[x]/(x^{16} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{16} - 8 x^{15} + 23 x^{14} - 8 x^{13} - 131 x^{12} + 380 x^{11} - 289 x^{10} - 880 x^{9} + \cdots + 6561 $ x^16 - 8x^15 + 23x^14 - 8x^13 - 131x^12 + 380x^11 - 289x^10 - 880x^9 + 2785x^8 - 2640x^7 - 2601x^6 + 10260x^5 - 10611x^4 - 1944x^3 + 16767x^2 - 17496*x + 6561
Coefficient ring:	$\Z[a_1, \ldots, a_{11}]$
Coefficient ring index:	$ 3^{2} $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			5.2
Root			$0.320287 + 1.70218i$ of defining polynomial
Character	$\chi$	$=$	126.5
Dual form			126.2.l.a.101.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q-1.00000i q^{2} +(-0.290993 - 1.70743i) q^{3} -1.00000 q^{4} +(-0.0338034 - 0.0585493i) q^{5} +(-1.70743 + 0.290993i) q^{6} +(1.19767 - 2.35915i) q^{7} +1.00000i q^{8} +(-2.83065 + 0.993700i) q^{9} +O(q^{10})$	\(q-1.00000i q^{2} +(-0.290993 - 1.70743i) q^{3} -1.00000 q^{4} +(-0.0338034 - 0.0585493i) q^{5} +(-1.70743 + 0.290993i) q^{6} +(1.19767 - 2.35915i) q^{7} +1.00000i q^{8} +(-2.83065 + 0.993700i) q^{9} +(-0.0585493 + 0.0338034i) q^{10} +(-3.40282 - 1.96462i) q^{11} +(0.290993 + 1.70743i) q^{12} +(3.32589 + 1.92020i) q^{13} +(-2.35915 - 1.19767i) q^{14} +(-0.0901323 + 0.0747545i) q^{15} +1.00000 q^{16} +(0.775337 + 1.34292i) q^{17} +(0.993700 + 2.83065i) q^{18} +(5.06375 + 2.92356i) q^{19} +(0.0338034 + 0.0585493i) q^{20} +(-4.37660 - 1.35845i) q^{21} +(-1.96462 + 3.40282i) q^{22} +(4.78687 - 2.76370i) q^{23} +(1.70743 - 0.290993i) q^{24} +(2.49771 - 4.32617i) q^{25} +(1.92020 - 3.32589i) q^{26} +(2.52037 + 4.54398i) q^{27} +(-1.19767 + 2.35915i) q^{28} +(1.20840 - 0.697671i) q^{29} +(0.0747545 + 0.0901323i) q^{30} -1.26595i q^{31} -1.00000i q^{32} +(-2.36426 + 6.38178i) q^{33} +(1.34292 - 0.775337i) q^{34} +(-0.178612 + 0.00962461i) q^{35} +(2.83065 - 0.993700i) q^{36} +(-4.35534 + 7.54368i) q^{37} +(2.92356 - 5.06375i) q^{38} +(2.31080 - 6.23749i) q^{39} +(0.0585493 - 0.0338034i) q^{40} +(-5.17415 + 8.96188i) q^{41} +(-1.35845 + 4.37660i) q^{42} +(0.735847 + 1.27452i) q^{43} +(3.40282 + 1.96462i) q^{44} +(0.153866 + 0.132142i) q^{45} +(-2.76370 - 4.78687i) q^{46} -3.54265 q^{47} +(-0.290993 - 1.70743i) q^{48} +(-4.13117 - 5.65097i) q^{49} +(-4.32617 - 2.49771i) q^{50} +(2.06733 - 1.71462i) q^{51} +(-3.32589 - 1.92020i) q^{52} +(-6.28910 + 3.63101i) q^{53} +(4.54398 - 2.52037i) q^{54} +0.265644i q^{55} +(2.35915 + 1.19767i) q^{56} +(3.51826 - 9.49673i) q^{57} +(-0.697671 - 1.20840i) q^{58} +9.40086 q^{59} +(0.0901323 - 0.0747545i) q^{60} +0.0815124i q^{61} -1.26595 q^{62} +(-1.04589 + 7.86804i) q^{63} -1.00000 q^{64} -0.259638i q^{65} +(6.38178 + 2.36426i) q^{66} -15.3451 q^{67} +(-0.775337 - 1.34292i) q^{68} +(-6.11178 - 7.36904i) q^{69} +(0.00962461 + 0.178612i) q^{70} -4.30975i q^{71} +(-0.993700 - 2.83065i) q^{72} +(6.12768 - 3.53782i) q^{73} +(7.54368 + 4.35534i) q^{74} +(-8.11345 - 3.00579i) q^{75} +(-5.06375 - 2.92356i) q^{76} +(-8.71030 + 5.67480i) q^{77} +(-6.23749 - 2.31080i) q^{78} -6.84639 q^{79} +(-0.0338034 - 0.0585493i) q^{80} +(7.02512 - 5.62563i) q^{81} +(8.96188 + 5.17415i) q^{82} +(3.93194 + 6.81032i) q^{83} +(4.37660 + 1.35845i) q^{84} +(0.0524181 - 0.0907908i) q^{85} +(1.27452 - 0.735847i) q^{86} +(-1.54286 - 1.86025i) q^{87} +(1.96462 - 3.40282i) q^{88} +(5.84745 - 10.1281i) q^{89} +(0.132142 - 0.153866i) q^{90} +(8.51336 - 5.54650i) q^{91} +(-4.78687 + 2.76370i) q^{92} +(-2.16153 + 0.368383i) q^{93} +3.54265i q^{94} -0.395305i q^{95} +(-1.70743 + 0.290993i) q^{96} +(-0.363295 + 0.209749i) q^{97} +(-5.65097 + 4.13117i) q^{98} +(11.5844 + 2.17976i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 16 q - 16 q^{4} + 2 q^{7}+O(q^{10}) $ 16 * q - 16 * q^4 + 2 * q^7	$ 16 q - 16 q^{4} + 2 q^{7} + 12 q^{11} + 6 q^{13} - 6 q^{14} - 18 q^{15} + 16 q^{16} - 18 q^{17} - 12 q^{18} - 12 q^{21} - 6 q^{23} - 8 q^{25} + 12 q^{26} + 36 q^{27} - 2 q^{28} + 6 q^{29} + 30 q^{35} - 2 q^{37} - 12 q^{39} - 6 q^{41} - 2 q^{43} - 12 q^{44} - 30 q^{45} + 6 q^{46} - 36 q^{47} - 8 q^{49} - 12 q^{50} + 6 q^{51} - 6 q^{52} - 36 q^{53} + 18 q^{54} + 6 q^{56} + 6 q^{57} + 6 q^{58} + 60 q^{59} + 18 q^{60} + 36 q^{62} + 36 q^{63} - 16 q^{64} + 24 q^{66} - 28 q^{67} + 18 q^{68} - 42 q^{69} - 18 q^{70} + 12 q^{72} + 18 q^{74} + 60 q^{75} - 42 q^{77} + 32 q^{79} - 36 q^{81} + 12 q^{84} - 12 q^{85} + 24 q^{86} - 24 q^{87} - 24 q^{89} + 18 q^{90} - 12 q^{91} + 6 q^{92} - 42 q^{93} + 6 q^{97} - 24 q^{98} + 18 q^{99}+O(q^{100}) $ 16 * q - 16 * q^4 + 2 * q^7 + 12 * q^11 + 6 * q^13 - 6 * q^14 - 18 * q^15 + 16 * q^16 - 18 * q^17 - 12 * q^18 - 12 * q^21 - 6 * q^23 - 8 * q^25 + 12 * q^26 + 36 * q^27 - 2 * q^28 + 6 * q^29 + 30 * q^35 - 2 * q^37 - 12 * q^39 - 6 * q^41 - 2 * q^43 - 12 * q^44 - 30 * q^45 + 6 * q^46 - 36 * q^47 - 8 * q^49 - 12 * q^50 + 6 * q^51 - 6 * q^52 - 36 * q^53 + 18 * q^54 + 6 * q^56 + 6 * q^57 + 6 * q^58 + 60 * q^59 + 18 * q^60 + 36 * q^62 + 36 * q^63 - 16 * q^64 + 24 * q^66 - 28 * q^67 + 18 * q^68 - 42 * q^69 - 18 * q^70 + 12 * q^72 + 18 * q^74 + 60 * q^75 - 42 * q^77 + 32 * q^79 - 36 * q^81 + 12 * q^84 - 12 * q^85 + 24 * q^86 - 24 * q^87 - 24 * q^89 + 18 * q^90 - 12 * q^91 + 6 * q^92 - 42 * q^93 + 6 * q^97 - 24 * q^98 + 18 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/126\mathbb{Z}\right)^\times$.

$n$	$29$	$73$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{5}{6}\right)$

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 $

$2$		−	1.00000i		−	0.707107i
$2$		−	1.00000i		−	0.707107i
$3$	−0.290993	−	1.70743i	−0.168005	−	0.985786i
$3$	−0.290993	−	1.70743i	−0.168005	−	0.985786i
$4$	−1.00000			−0.500000
$5$	−0.0338034	−	0.0585493i	−0.0151174	−	0.0261840i	0.858368	−	0.513035i	$-0.171479\pi$
$5$	−0.0338034	−	0.0585493i	−0.0151174	−	0.0261840i	−0.873485	+	0.486851i	$0.838146\pi$
$6$	−1.70743	+	0.290993i	−0.697056	+	0.118797i
$7$	1.19767	−	2.35915i	0.452677	−	0.891675i
$7$	1.19767	−	2.35915i	0.452677	−	0.891675i
$8$			1.00000i			0.353553i
$9$	−2.83065	+	0.993700i	−0.943549	+	0.331233i
$10$	−0.0585493	+	0.0338034i	−0.0185149	+	0.0106896i
$11$	−3.40282	−	1.96462i	−1.02599	−	0.592356i	−0.110157	−	0.993914i	$-0.535135\pi$
$11$	−3.40282	−	1.96462i	−1.02599	−	0.592356i	−0.915833	+	0.401559i	$0.868469\pi$
$12$	0.290993	+	1.70743i	0.0840024	+	0.492893i
$13$	3.32589	+	1.92020i	0.922435	+	0.532568i	0.884411	−	0.466709i	$-0.154560\pi$
$13$	3.32589	+	1.92020i	0.922435	+	0.532568i	0.0380241	+	0.999277i	$0.487894\pi$
$14$	−2.35915	−	1.19767i	−0.630509	−	0.320091i
$15$	−0.0901323	+	0.0747545i	−0.0232721	+	0.0193015i
$16$	1.00000			0.250000
$17$	0.775337	+	1.34292i	0.188047	+	0.325707i	0.944599	−	0.328227i	$-0.106451\pi$
$17$	0.775337	+	1.34292i	0.188047	+	0.325707i	−0.756552	+	0.653933i	$0.773118\pi$
$18$	0.993700	+	2.83065i	0.234217	+	0.667190i
$19$	5.06375	+	2.92356i	1.16170	+	0.670710i	0.951712	−	0.306994i	$-0.0993230\pi$
$19$	5.06375	+	2.92356i	1.16170	+	0.670710i	0.209991	+	0.977703i	$0.432656\pi$
$20$	0.0338034	+	0.0585493i	0.00755868	+	0.0130920i
$21$	−4.37660	−	1.35845i	−0.955052	−	0.296437i
$22$	−1.96462	+	3.40282i	−0.418859	+	0.725484i
$23$	4.78687	−	2.76370i	0.998132	−	0.576272i	0.0904369	−	0.995902i	$-0.471174\pi$
$23$	4.78687	−	2.76370i	0.998132	−	0.576272i	0.907695	+	0.419630i	$0.137840\pi$
$24$	1.70743	−	0.290993i	0.348528	−	0.0593986i
$25$	2.49771	−	4.32617i	0.499543	−	0.865234i
$26$	1.92020	−	3.32589i	0.376583	−	0.652260i
$27$	2.52037	+	4.54398i	0.485046	+	0.874489i
$28$	−1.19767	+	2.35915i	−0.226338	+	0.445837i
$29$	1.20840	−	0.697671i	0.224394	−	0.129554i	−0.383589	−	0.923504i	$-0.625312\pi$
$29$	1.20840	−	0.697671i	0.224394	−	0.129554i	0.607983	+	0.793950i	$0.291979\pi$
$30$	0.0747545	+	0.0901323i	0.0136482	+	0.0164558i
$31$		−	1.26595i		−	0.227372i	−0.993517	−	0.113686i	$-0.963734\pi$
$31$		−	1.26595i		−	0.227372i	0.993517	−	0.113686i	$-0.0362657\pi$
$32$		−	1.00000i		−	0.176777i
$33$	−2.36426	+	6.38178i	−0.411565	+	1.11093i
$34$	1.34292	−	0.775337i	0.230309	−	0.132969i
$35$	−0.178612	+	0.00962461i	−0.0301909	+	0.00162686i
$36$	2.83065	−	0.993700i	0.471774	−	0.165617i
$37$	−4.35534	+	7.54368i	−0.716014	+	1.24017i	0.246553	+	0.969129i	$0.420702\pi$
$37$	−4.35534	+	7.54368i	−0.716014	+	1.24017i	−0.962567	+	0.271044i	$0.912631\pi$
$38$	2.92356	−	5.06375i	0.474263	−	0.821448i
$39$	2.31080	−	6.23749i	0.370025	−	0.998798i
$40$	0.0585493	−	0.0338034i	0.00925745	−	0.00534479i
$41$	−5.17415	+	8.96188i	−0.808066	+	1.39961i	0.106136	+	0.994352i	$0.466152\pi$
$41$	−5.17415	+	8.96188i	−0.808066	+	1.39961i	−0.914202	+	0.405260i	$0.867181\pi$
$42$	−1.35845	+	4.37660i	−0.209613	+	0.675324i
$43$	0.735847	+	1.27452i	0.112216	+	0.194363i	0.916663	−	0.399660i	$-0.130872\pi$
$43$	0.735847	+	1.27452i	0.112216	+	0.194363i	−0.804448	+	0.594023i	$0.797539\pi$
$44$	3.40282	+	1.96462i	0.512995	+	0.296178i
$45$	0.153866	+	0.132142i	0.0229370	+	0.0196985i
$46$	−2.76370	−	4.78687i	−0.407486	−	0.705786i
$47$	−3.54265			−0.516748			−0.258374	−	0.966045i	$-0.583187\pi$
$47$	−3.54265			−0.516748			−0.258374	+	0.966045i	$0.583187\pi$
$48$	−0.290993	−	1.70743i	−0.0420012	−	0.246447i
$49$	−4.13117	−	5.65097i	−0.590167	−	0.807281i
$50$	−4.32617	−	2.49771i	−0.611813	−	0.353230i
$51$	2.06733	−	1.71462i	0.289484	−	0.240094i
$52$	−3.32589	−	1.92020i	−0.461218	−	0.266284i
$53$	−6.28910	+	3.63101i	−0.863874	+	0.498758i	−0.865308	−	0.501241i	$-0.832877\pi$
$53$	−6.28910	+	3.63101i	−0.863874	+	0.498758i	0.00143340	+	0.999999i	$0.499544\pi$
$54$	4.54398	−	2.52037i	0.618357	−	0.342979i
$55$			0.265644i			0.0358194i
$56$	2.35915	+	1.19767i	0.315255	+	0.160045i
$57$	3.51826	−	9.49673i	0.466005	−	1.25787i
$58$	−0.697671	−	1.20840i	−0.0916087	−	0.158671i
$59$	9.40086			1.22389			0.611944	−	0.790901i	$-0.290388\pi$
$59$	9.40086			1.22389			0.611944	+	0.790901i	$0.290388\pi$
$60$	0.0901323	−	0.0747545i	0.0116360	−	0.00965076i
$61$			0.0815124i			0.0104366i	0.999986	+	0.00521830i	$0.00166104\pi$
$61$			0.0815124i			0.0104366i	−0.999986	+	0.00521830i	$0.998339\pi$
$62$	−1.26595			−0.160776
$63$	−1.04589	+	7.86804i	−0.131770	+	0.991280i
$64$	−1.00000			−0.125000
$65$		−	0.259638i		−	0.0322041i
$66$	6.38178	+	2.36426i	0.785543	+	0.291020i
$67$	−15.3451			−1.87471			−0.937354	−	0.348379i	$-0.886732\pi$
$67$	−15.3451			−1.87471			−0.937354	+	0.348379i	$0.886732\pi$
$68$	−0.775337	−	1.34292i	−0.0940234	−	0.162853i
$69$	−6.11178	−	7.36904i	−0.735772	−	0.887128i
$70$	0.00962461	+	0.178612i	0.00115036	+	0.0213482i
$71$		−	4.30975i		−	0.511474i	−0.966746	−	0.255737i	$-0.917682\pi$
$71$		−	4.30975i		−	0.511474i	0.966746	−	0.255737i	$-0.0823181\pi$
$72$	−0.993700	−	2.83065i	−0.117109	−	0.333595i
$73$	6.12768	−	3.53782i	0.717191	−	0.414070i	−0.0965271	−	0.995330i	$-0.530773\pi$
$73$	6.12768	−	3.53782i	0.717191	−	0.414070i	0.813718	+	0.581260i	$0.197440\pi$
$74$	7.54368	+	4.35534i	0.876935	+	0.506299i
$75$	−8.11345	−	3.00579i	−0.936861	−	0.347079i
$76$	−5.06375	−	2.92356i	−0.580852	−	0.335355i
$77$	−8.71030	+	5.67480i	−0.992630	+	0.646703i
$78$	−6.23749	−	2.31080i	−0.706257	−	0.261647i
$79$	−6.84639			−0.770279			−0.385140	−	0.922858i	$-0.625847\pi$
$79$	−6.84639			−0.770279			−0.385140	+	0.922858i	$0.625847\pi$
$80$	−0.0338034	−	0.0585493i	−0.00377934	−	0.00654601i
$81$	7.02512	−	5.62563i	0.780569	−	0.625070i
$82$	8.96188	+	5.17415i	0.989675	+	0.571389i
$83$	3.93194	+	6.81032i	0.431587	+	0.747530i	0.997010	−	0.0772707i	$-0.0246206\pi$
$83$	3.93194	+	6.81032i	0.431587	+	0.747530i	−0.565423	+	0.824801i	$0.691287\pi$
$84$	4.37660	+	1.35845i	0.477526	+	0.148219i
$85$	0.0524181	−	0.0907908i	0.00568554	−	0.00984765i
$86$	1.27452	−	0.735847i	0.137435	−	0.0793484i
$87$	−1.54286	−	1.86025i	−0.165412	−	0.199439i
$88$	1.96462	−	3.40282i	0.209429	−	0.362742i
$89$	5.84745	−	10.1281i	0.619828	−	1.07357i	−0.369688	−	0.929156i	$-0.620536\pi$
$89$	5.84745	−	10.1281i	0.619828	−	1.07357i	0.989517	−	0.144418i	$-0.0461311\pi$
$90$	0.132142	−	0.153866i	0.0139290	−	0.0162189i
$91$	8.51336	−	5.54650i	0.892443	−	0.581431i
$92$	−4.78687	+	2.76370i	−0.499066	+	0.288136i
$93$	−2.16153	+	0.368383i	−0.224140	+	0.0381995i
$94$			3.54265i			0.365396i
$95$		−	0.395305i		−	0.0405574i
$96$	−1.70743	+	0.290993i	−0.174264	+	0.0296993i
$97$	−0.363295	+	0.209749i	−0.0368870	+	0.0212967i	−0.518330	−	0.855181i	$-0.673446\pi$
$97$	−0.363295	+	0.209749i	−0.0368870	+	0.0212967i	0.481443	+	0.876477i	$0.340113\pi$
$98$	−5.65097	+	4.13117i	−0.570834	+	0.417311i
$99$	11.5844	+	2.17976i	1.16428	+	0.219074i
$100$	−2.49771	+	4.32617i	−0.249771	+	0.432617i
$101$	−8.69621	+	15.0623i	−0.865305	+	1.49875i	0.00143888	+	0.999999i	$0.499542\pi$
$101$	−8.69621	+	15.0623i	−0.865305	+	1.49875i	−0.866744	+	0.498753i	$0.833791\pi$
$102$	−1.71462	−	2.06733i	−0.169772	−	0.204696i
$103$	0.867010	−	0.500568i	0.0854290	−	0.0493225i	−0.456677	−	0.889633i	$-0.650960\pi$
$103$	0.867010	−	0.500568i	0.0854290	−	0.0493225i	0.542106	+	0.840310i	$0.317627\pi$
$104$	−1.92020	+	3.32589i	−0.188291	+	0.326130i
$105$	0.0684081	+	0.302167i	0.00667595	+	0.0294885i
$106$	3.63101	+	6.28910i	0.352675	+	0.610851i
$107$	8.02352	+	4.63238i	0.775663	+	0.447829i	0.834891	−	0.550415i	$-0.185531\pi$
$107$	8.02352	+	4.63238i	0.775663	+	0.447829i	−0.0592279	+	0.998244i	$0.518864\pi$
$108$	−2.52037	−	4.54398i	−0.242523	−	0.437244i
$109$	0.821501	+	1.42288i	0.0786855	+	0.136287i	0.902683	−	0.430306i	$-0.141594\pi$
$109$	0.821501	+	1.42288i	0.0786855	+	0.136287i	−0.823998	+	0.566593i	$0.808261\pi$
$110$	0.265644			0.0253281
$111$	14.1477	+	5.24130i	1.34284	+	0.497482i
$112$	1.19767	−	2.35915i	0.113169	−	0.222919i
$113$	13.6537	+	7.88296i	1.28443	+	0.741567i	0.977655	−	0.210215i	$-0.0674164\pi$
$113$	13.6537	+	7.88296i	1.28443	+	0.741567i	0.306776	+	0.951782i	$0.400750\pi$
$114$	−9.49673	−	3.51826i	−0.889451	−	0.329515i
$115$	−0.323625	−	0.186845i	−0.0301782	−	0.0174234i
$116$	−1.20840	+	0.697671i	−0.112197	+	0.0647771i
$117$	−11.3225	−	2.13048i	−1.04677	−	0.196963i
$118$		−	9.40086i		−	0.865419i
$119$	4.09675	−	0.220756i	0.375549	−	0.0202367i
$120$	−0.0747545	−	0.0901323i	−0.00682412	−	0.00822792i
$121$	2.21947	+	3.84424i	0.201770	+	0.349476i
$122$	0.0815124			0.00737979
$123$	16.8074	+	6.22666i	1.51548	+	0.561439i
$124$			1.26595i			0.113686i
$125$	−0.675760			−0.0604418
$126$	7.86804	+	1.04589i	0.700941	+	0.0931757i
$127$	−19.0776			−1.69286			−0.846430	−	0.532501i	$-0.821252\pi$
$127$	−19.0776			−1.69286			−0.846430	+	0.532501i	$0.821252\pi$
$128$			1.00000i			0.0883883i
$129$	1.96204	−	1.62729i	0.172748	−	0.143274i
$130$	−0.259638			−0.0227717
$131$	−9.33404	−	16.1670i	−0.815519	−	1.41252i	−0.908955	−	0.416895i	$-0.863118\pi$
$131$	−9.33404	−	16.1670i	−0.815519	−	1.41252i	0.0934359	−	0.995625i	$-0.470215\pi$
$132$	2.36426	−	6.38178i	0.205782	−	0.555463i
$133$	12.9618	−	8.44468i	1.12393	−	0.732246i
$134$			15.3451i			1.32562i
$135$	0.180849	−	0.301168i	0.0155650	−	0.0259204i
$136$	−1.34292	+	0.775337i	−0.115155	+	0.0664846i
$137$	5.44329	+	3.14269i	0.465052	+	0.268498i	0.714166	−	0.699976i	$-0.246806\pi$
$137$	5.44329	+	3.14269i	0.465052	+	0.268498i	−0.249114	+	0.968474i	$0.580139\pi$
$138$	−7.36904	+	6.11178i	−0.627294	+	0.520269i
$139$	5.49596	+	3.17309i	0.466161	+	0.269138i	0.714631	−	0.699501i	$-0.246594\pi$
$139$	5.49596	+	3.17309i	0.466161	+	0.269138i	−0.248470	+	0.968640i	$0.579928\pi$
$140$	0.178612	−	0.00962461i	0.0150955	−	0.000813428i
$141$	1.03088	+	6.04883i	0.0868161	+	0.509403i
$142$	−4.30975			−0.361667
$143$	−7.54494	−	13.0682i	−0.630939	−	1.09282i
$144$	−2.83065	+	0.993700i	−0.235887	+	0.0828084i
$145$	−0.0816962	−	0.0471673i	−0.00678450	−	0.00391703i
$146$	−3.53782	−	6.12768i	−0.292792	−	0.507130i
$147$	−8.44650	+	8.69808i	−0.696656	+	0.717406i
$148$	4.35534	−	7.54368i	0.358007	−	0.620087i
$149$	7.21992	−	4.16842i	0.591479	−	0.341491i	−0.174203	−	0.984710i	$-0.555735\pi$
$149$	7.21992	−	4.16842i	0.591479	−	0.341491i	0.765682	+	0.643219i	$0.222402\pi$
$150$	−3.00579	+	8.11345i	−0.245422	+	0.662461i
$151$	−7.07721	+	12.2581i	−0.575935	+	0.997548i	0.420005	+	0.907522i	$0.362028\pi$
$151$	−7.07721	+	12.2581i	−0.575935	+	0.997548i	−0.995939	+	0.0900264i	$0.971305\pi$
$152$	−2.92356	+	5.06375i	−0.237132	+	0.410724i
$153$	−3.52917	−	3.03089i	−0.285316	−	0.245033i
$154$	5.67480	+	8.71030i	0.457288	+	0.701896i
$155$	−0.0741205	+	0.0427935i	−0.00595350	+	0.00343726i
$156$	−2.31080	+	6.23749i	−0.185012	+	0.499399i
$157$			16.4593i			1.31360i	0.754065	+	0.656799i	$0.228090\pi$
$157$			16.4593i			1.31360i	−0.754065	+	0.656799i	$0.771910\pi$
$158$			6.84639i			0.544670i
$159$	8.02979	+	9.68161i	0.636804	+	0.767802i
$160$	−0.0585493	+	0.0338034i	−0.00462873	+	0.00267240i
$161$	−0.786889	−	14.6030i	−0.0620155	−	1.15087i
$162$	−5.62563	−	7.02512i	−0.441991	−	0.551945i
$163$	−4.53345	+	7.85216i	−0.355087	+	0.615029i	−0.987133	−	0.159902i	$-0.948882\pi$
$163$	−4.53345	+	7.85216i	−0.355087	+	0.615029i	0.632046	+	0.774931i	$0.282215\pi$
$164$	5.17415	−	8.96188i	0.404033	−	0.699806i
$165$	0.453569	−	0.0773004i	0.0353103	−	0.00601783i
$166$	6.81032	−	3.93194i	0.528584	−	0.305178i
$167$	7.64922	−	13.2488i	0.591914	−	1.02523i	−0.402060	−	0.915613i	$-0.631706\pi$
$167$	7.64922	−	13.2488i	0.591914	−	1.02523i	0.993974	−	0.109612i	$-0.0349608\pi$
$168$	1.35845	−	4.37660i	0.104806	−	0.337662i
$169$	0.874352	+	1.51442i	0.0672579	+	0.116494i
$170$	−0.0907908	−	0.0524181i	−0.00696334	−	0.00402029i
$171$	−17.2388	−	3.24370i	−1.31828	−	0.248052i
$172$	−0.735847	−	1.27452i	−0.0561078	−	0.0971815i
$173$	−2.30125			−0.174961			−0.0874804	−	0.996166i	$-0.527882\pi$
$173$	−2.30125			−0.174961			−0.0874804	+	0.996166i	$0.527882\pi$
$174$	−1.86025	+	1.54286i	−0.141025	+	0.116964i
$175$	−7.21464	−	11.0738i	−0.545375	−	0.837101i
$176$	−3.40282	−	1.96462i	−0.256497	−	0.148089i
$177$	−2.73558	−	16.0513i	−0.205619	−	1.20649i
$178$	−10.1281	−	5.84745i	−0.759132	−	0.438285i
$179$	−13.8077	+	7.97186i	−1.03203	+	0.595845i	−0.917567	−	0.397582i	$-0.869849\pi$
$179$	−13.8077	+	7.97186i	−1.03203	+	0.595845i	−0.114467	+	0.993427i	$0.536516\pi$
$180$	−0.153866	−	0.132142i	−0.0114685	−	0.00984927i
$181$		−	18.4526i		−	1.37157i	−0.727804	−	0.685785i	$-0.759459\pi$
$181$		−	18.4526i		−	1.37157i	0.727804	−	0.685785i	$-0.240541\pi$
$182$	−5.54650	−	8.51336i	−0.411134	−	0.631052i
$183$	0.139177	−	0.0237195i	0.0102883	−	0.00175340i
$184$	2.76370	+	4.78687i	0.203743	+	0.352893i
$185$	0.588903			0.0432970
$186$	0.368383	+	2.16153i	0.0270111	+	0.158491i
$187$		−	6.09297i		−	0.445562i
$188$	3.54265			0.258374
$189$	13.7385	−	0.503750i	0.999328	−	0.0366424i
$190$	−0.395305			−0.0286784
$191$		−	23.3437i		−	1.68909i	−0.535484	−	0.844546i	$-0.679871\pi$
$191$		−	23.3437i		−	1.68909i	0.535484	−	0.844546i	$-0.320129\pi$
$192$	0.290993	+	1.70743i	0.0210006	+	0.123223i
$193$	21.2878			1.53233			0.766164	−	0.642646i	$-0.222163\pi$
$193$	21.2878			1.53233			0.766164	+	0.642646i	$0.222163\pi$
$194$	0.209749	+	0.363295i	0.0150591	+	0.0260831i
$195$	−0.443314	+	0.0755527i	−0.0317464	+	0.00541044i
$196$	4.13117	+	5.65097i	0.295084	+	0.403641i
$197$		−	12.8467i		−	0.915288i	−0.889136	−	0.457644i	$-0.848693\pi$
$197$		−	12.8467i		−	0.915288i	0.889136	−	0.457644i	$-0.151307\pi$
$198$	2.17976	−	11.5844i	0.154909	−	0.823270i
$199$	−3.24154	+	1.87150i	−0.229787	+	0.132667i	−0.610474	−	0.792037i	$-0.709021\pi$
$199$	−3.24154	+	1.87150i	−0.229787	+	0.132667i	0.380687	+	0.924704i	$0.375688\pi$
$200$	4.32617	+	2.49771i	0.305906	+	0.176615i
$201$	4.46532	+	26.2008i	0.314960	+	1.84806i
$202$	15.0623	+	8.69621i	1.05978	+	0.611863i
$203$	−0.198643	−	3.68638i	−0.0139420	−	0.258733i
$204$	−2.06733	+	1.71462i	−0.144742	+	0.120047i
$205$	0.699616			0.0488633
$206$	−0.500568	−	0.867010i	−0.0348762	−	0.0604074i
$207$	−10.8037	+	12.5798i	−0.750906	+	0.874355i
$208$	3.32589	+	1.92020i	0.230609	+	0.133142i
$209$	−11.4874	−	19.8967i	−0.794597	−	1.37628i
$210$	0.302167	−	0.0684081i	0.0208515	−	0.00472061i
$211$	4.69581	−	8.13339i	0.323273	−	0.559925i	−0.657888	−	0.753116i	$-0.728550\pi$
$211$	4.69581	−	8.13339i	0.323273	−	0.559925i	0.981161	+	0.193190i	$0.0618834\pi$
$212$	6.28910	−	3.63101i	0.431937	−	0.249379i
$213$	−7.35861	+	1.25411i	−0.504204	+	0.0859300i
$214$	4.63238	−	8.02352i	0.316663	−	0.548477i
$215$	0.0497483	−	0.0861666i	0.00339281	−	0.00587651i
$216$	−4.54398	+	2.52037i	−0.309178	+	0.171490i
$217$	−2.98657	−	1.51619i	−0.202741	−	0.102926i
$218$	1.42288	−	0.821501i	0.0963697	−	0.0556391i
$219$	−7.82369	−	9.43312i	−0.528676	−	0.637431i
$220$		−	0.265644i		−	0.0179097i
$221$			5.95522i			0.400591i
$222$	5.24130	−	14.1477i	0.351773	−	0.949531i
$223$	−17.7695	+	10.2592i	−1.18993	+	0.687008i	−0.958291	−	0.285793i	$-0.907743\pi$
$223$	−17.7695	+	10.2592i	−1.18993	+	0.687008i	−0.231642	+	0.972801i	$0.574410\pi$
$224$	−2.35915	−	1.19767i	−0.157627	−	0.0800227i
$225$	−2.77123	+	14.7278i	−0.184749	+	0.981856i
$226$	7.88296	−	13.6537i	0.524367	−	0.908230i
$227$	−9.38828	+	16.2610i	−0.623122	+	1.07928i	0.365779	+	0.930702i	$0.380803\pi$
$227$	−9.38828	+	16.2610i	−0.623122	+	1.07928i	−0.988901	+	0.148577i	$0.952531\pi$
$228$	−3.51826	+	9.49673i	−0.233002	+	0.628937i
$229$	−4.31740	+	2.49265i	−0.285302	+	0.164719i	−0.635821	−	0.771836i	$-0.719338\pi$
$229$	−4.31740	+	2.49265i	−0.285302	+	0.164719i	0.350519	+	0.936556i	$0.386005\pi$
$230$	−0.186845	+	0.323625i	−0.0123202	+	0.0213392i
$231$	12.2240	+	13.2209i	0.804278	+	0.869872i
$232$	0.697671	+	1.20840i	0.0458043	+	0.0793354i
$233$	12.7747	+	7.37548i	0.836899	+	0.483184i	0.856209	−	0.516630i	$-0.172814\pi$
$233$	12.7747	+	7.37548i	0.836899	+	0.483184i	−0.0193101	+	0.999814i	$0.506147\pi$
$234$	−2.13048	+	11.3225i	−0.139274	+	0.740176i
$235$	0.119754	+	0.207419i	0.00781186	+	0.0135305i
$236$	−9.40086			−0.611944
$237$	1.99225	+	11.6897i	0.129411	+	0.759331i
$238$	−0.220756	−	4.09675i	−0.0143095	−	0.265553i
$239$	−0.155388	−	0.0897132i	−0.0100512	−	0.00580307i	0.494966	−	0.868912i	$-0.335181\pi$
$239$	−0.155388	−	0.0897132i	−0.0100512	−	0.00580307i	−0.505017	+	0.863109i	$0.668514\pi$
$240$	−0.0901323	+	0.0747545i	−0.00581802	+	0.00482538i
$241$	5.31183	+	3.06679i	0.342165	+	0.197549i	0.661229	−	0.750184i	$-0.270035\pi$
$241$	5.31183	+	3.06679i	0.342165	+	0.197549i	−0.319064	+	0.947733i	$0.603368\pi$
$242$	3.84424	−	2.21947i	0.247117	−	0.142673i
$243$	−11.6496	−	10.3579i	−0.747325	−	0.664459i
$244$		−	0.0815124i		−	0.00521830i
$245$	−0.191212	+	0.432899i	−0.0122161	+	0.0276569i
$246$	6.22666	−	16.8074i	0.396997	−	1.07160i
$247$	11.2276	+	19.4468i	0.714397	+	1.23737i
$248$	1.26595			0.0803880
$249$	10.4840	−	8.69528i	0.664396	−	0.551041i
$250$			0.675760i			0.0427388i
$251$	−1.11296			−0.0702495			−0.0351247	−	0.999383i	$-0.511183\pi$
$251$	−1.11296			−0.0702495			−0.0351247	+	0.999383i	$0.511183\pi$
$252$	1.04589	−	7.86804i	0.0658852	−	0.495640i
$253$	−21.7185			−1.36543
$254$			19.0776i			1.19703i
$255$	−0.170272	−	0.0630809i	−0.0106629	−	0.00395028i
$256$	1.00000			0.0625000
$257$	2.37366	+	4.11130i	0.148065	+	0.256456i	0.930512	−	0.366261i	$-0.119362\pi$
$257$	2.37366	+	4.11130i	0.148065	+	0.256456i	−0.782447	+	0.622717i	$0.786029\pi$
$258$	−1.62729	−	1.96204i	−0.101310	−	0.122151i
$259$	12.5804	+	19.3098i	0.781708	+	1.19985i
$260$			0.259638i			0.0161020i
$261$	−2.72728	+	3.17565i	−0.168814	+	0.196568i
$262$	−16.1670	+	9.33404i	−0.998803	+	0.576659i
$263$	3.65146	+	2.10817i	0.225159	+	0.129995i	0.608337	−	0.793679i	$-0.291837\pi$
$263$	3.65146	+	2.10817i	0.225159	+	0.129995i	−0.383178	+	0.923675i	$0.625170\pi$
$264$	−6.38178	−	2.36426i	−0.392771	−	0.145510i
$265$	0.425186	+	0.245482i	0.0261190	+	0.0150798i
$266$	−8.44468	−	12.9618i	−0.517776	−	0.794739i
$267$	−18.9946	−	7.03692i	−1.16245	−	0.430653i
$268$	15.3451			0.937354
$269$	7.97265	+	13.8090i	0.486101	+	0.841952i	0.999872	−	0.0159753i	$-0.00508533\pi$
$269$	7.97265	+	13.8090i	0.486101	+	0.841952i	−0.513771	+	0.857927i	$0.671752\pi$
$270$	−0.301168	−	0.180849i	−0.0183285	−	0.0110061i
$271$	14.1913	+	8.19335i	0.862060	+	0.497710i	0.864702	−	0.502286i	$-0.167508\pi$
$271$	14.1913	+	8.19335i	0.862060	+	0.497710i	−0.00264173	+	0.999997i	$0.500841\pi$
$272$	0.775337	+	1.34292i	0.0470117	+	0.0814267i
$273$	−11.9476	−	12.9220i	−0.723101	−	0.782075i
$274$	3.14269	−	5.44329i	0.189857	−	0.328841i
$275$	−16.9986	+	9.81413i	−1.02505	+	0.591814i
$276$	6.11178	+	7.36904i	0.367886	+	0.443564i
$277$	0.928004	−	1.60735i	0.0557583	−	0.0965763i	−0.836799	−	0.547510i	$-0.815576\pi$
$277$	0.928004	−	1.60735i	0.0557583	−	0.0965763i	0.892557	+	0.450934i	$0.148909\pi$
$278$	3.17309	−	5.49596i	0.190309	−	0.329626i
$279$	1.25798	+	3.58346i	0.0753131	+	0.214536i
$280$	−0.00962461	−	0.178612i	−0.000575180	−	0.0106741i
$281$	−0.628441	+	0.362830i	−0.0374896	+	0.0216446i	−0.518628	−	0.855000i	$-0.673557\pi$
$281$	−0.628441	+	0.362830i	−0.0374896	+	0.0216446i	0.481138	+	0.876645i	$0.340224\pi$
$282$	6.04883	−	1.03088i	0.360202	−	0.0613883i
$283$		−	11.6276i		−	0.691192i	−0.938383	−	0.345596i	$-0.887677\pi$
$283$		−	11.6276i		−	0.691192i	0.938383	−	0.345596i	$-0.112323\pi$
$284$			4.30975i			0.255737i
$285$	−0.674956	+	0.115031i	−0.0399809	+	0.00681384i
$286$	−13.0682	+	7.54494i	−0.772740	+	0.446142i
$287$	14.9455	+	22.9400i	0.882205	+	1.35410i
$288$	0.993700	+	2.83065i	0.0585544	+	0.166797i
$289$	7.29770	−	12.6400i	0.429277	−	0.743529i
$290$	−0.0471673	+	0.0816962i	−0.00276976	+	0.00479737i
$291$	0.463848	+	0.559267i	0.0271912	+	0.0327848i
$292$	−6.12768	+	3.53782i	−0.358595	+	0.207035i
$293$	−6.45034	+	11.1723i	−0.376833	+	0.652694i	−0.990600	−	0.136794i	$-0.956320\pi$
$293$	−6.45034	+	11.1723i	−0.376833	+	0.652694i	0.613766	+	0.789488i	$0.289654\pi$
$294$	8.69808	+	8.44650i	0.507282	+	0.492610i
$295$	−0.317781	−	0.550413i	−0.0185019	−	0.0320463i
$296$	−7.54368	−	4.35534i	−0.438467	−	0.253149i
$297$	0.350806	−	20.4139i	0.0203558	−	1.18454i
$298$	−4.16842	−	7.21992i	−0.241470	−	0.418239i
$299$	21.2275			1.22762
$300$	8.11345	+	3.00579i	0.468431	+	0.173540i
$301$	3.88809	−	0.209512i	0.224106	−	0.0120761i
$302$	12.2581	+	7.07721i	0.705373	+	0.407247i
$303$	28.2483	+	10.4652i	1.62282	+	0.601208i
$304$	5.06375	+	2.92356i	0.290426	+	0.167677i
$305$	0.00477249	−	0.00275540i	0.000273272	−	0.000157774i
$306$	−3.03089	+	3.52917i	−0.173264	+	0.201749i
$307$		−	20.5111i		−	1.17063i	−0.810806	−	0.585315i	$-0.800971\pi$
$307$		−	20.5111i		−	1.17063i	0.810806	−	0.585315i	$-0.199029\pi$
$308$	8.71030	−	5.67480i	0.496315	−	0.323352i
$309$	−1.10698	−	1.33470i	−0.0629739	−	0.0759283i
$310$	0.0427935	+	0.0741205i	0.00243051	+	0.00420976i
$311$	−15.0288			−0.852206			−0.426103	−	0.904675i	$-0.640114\pi$
$311$	−15.0288			−0.852206			−0.426103	+	0.904675i	$0.640114\pi$
$312$	6.23749	+	2.31080i	0.353128	+	0.130824i
$313$		−	1.11536i		−	0.0630438i	−0.999503	−	0.0315219i	$-0.989965\pi$
$313$		−	1.11536i		−	0.0630438i	0.999503	−	0.0315219i	$-0.0100354\pi$
$314$	16.4593			0.928855
$315$	0.496023	−	0.204731i	0.0279477	−	0.0115353i
$316$	6.84639			0.385140
$317$			1.23344i			0.0692768i	0.999400	+	0.0346384i	$0.0110280\pi$
$317$			1.23344i			0.0692768i	−0.999400	+	0.0346384i	$0.988972\pi$
$318$	9.68161	−	8.02979i	0.542918	−	0.450288i
$319$	−5.48263			−0.306969
$320$	0.0338034	+	0.0585493i	0.00188967	+	0.00327300i
$321$	5.57469	−	15.0476i	0.311149	−	0.839876i
$322$	−14.6030	+	0.786889i	−0.813791	+	0.0438516i
$323$			9.06696i			0.504499i
$324$	−7.02512	+	5.62563i	−0.390284	+	0.312535i
$325$	16.6142	−	9.59223i	0.921592	−	0.532081i
$326$	7.85216	+	4.53345i	0.434891	+	0.251085i
$327$	2.19042	−	1.81671i	0.121131	−	0.100464i
$328$	−8.96188	−	5.17415i	−0.494837	−	0.285694i
$329$	−4.24292	+	8.35763i	−0.233920	+	0.460771i
$330$	−0.0773004	−	0.453569i	−0.00425525	−	0.0249681i
$331$	−5.02462			−0.276178			−0.138089	−	0.990420i	$-0.544096\pi$
$331$	−5.02462			−0.276178			−0.138089	+	0.990420i	$0.544096\pi$
$332$	−3.93194	−	6.81032i	−0.215793	−	0.373765i
$333$	4.83228	−	25.6814i	0.264808	−	1.40733i
$334$	−13.2488	−	7.64922i	−0.724944	−	0.418546i
$335$	0.518719	+	0.898447i	0.0283406	+	0.0490874i
$336$	−4.37660	−	1.35845i	−0.238763	−	0.0741093i
$337$	10.6356	−	18.4213i	0.579356	−	1.00347i	−0.416198	−	0.909274i	$-0.636638\pi$
$337$	10.6356	−	18.4213i	0.579356	−	1.00347i	0.995553	−	0.0941995i	$-0.0300292\pi$
$338$	1.51442	−	0.874352i	0.0823737	−	0.0475585i
$339$	9.48649	−	25.6066i	0.515236	−	1.39076i
$340$	−0.0524181	+	0.0907908i	−0.00284277	+	0.00492382i
$341$	−2.48712	+	4.30781i	−0.134685	+	0.233281i
$342$	−3.24370	+	17.2388i	−0.175399	+	0.932168i
$343$	−18.2793	+	2.97805i	−0.986987	+	0.160799i
$344$	−1.27452	+	0.735847i	−0.0687177	+	0.0396742i
$345$	−0.224853	+	0.606939i	−0.0121057	+	0.0326765i
$346$			2.30125i			0.123716i
$347$		−	21.5735i		−	1.15813i	−0.815282	−	0.579063i	$-0.803418\pi$
$347$		−	21.5735i		−	1.15813i	0.815282	−	0.579063i	$-0.196582\pi$
$348$	1.54286	+	1.86025i	0.0827060	+	0.0997196i
$349$	−24.1105	+	13.9202i	−1.29061	+	0.745132i	−0.978762	−	0.205001i	$-0.934280\pi$
$349$	−24.1105	+	13.9202i	−1.29061	+	0.745132i	−0.311845	+	0.950133i	$0.600947\pi$
$350$	−11.0738	+	7.21464i	−0.591920	+	0.385639i
$351$	−0.342874	+	19.9524i	−0.0183013	+	1.06498i
$352$	−1.96462	+	3.40282i	−0.104715	+	0.181371i
$353$	2.85124	−	4.93850i	0.151756	−	0.262850i	−0.780117	−	0.625634i	$-0.784840\pi$
$353$	2.85124	−	4.93850i	0.151756	−	0.262850i	0.931873	+	0.362784i	$0.118174\pi$
$354$	−16.0513	+	2.73558i	−0.853118	+	0.145395i
$355$	−0.252333	+	0.145685i	−0.0133924	+	0.00773213i
$356$	−5.84745	+	10.1281i	−0.309914	+	0.536787i
$357$	−1.56905	−	6.93069i	−0.0830430	−	0.366811i
$358$	7.97186	+	13.8077i	0.421326	+	0.729758i
$359$	−18.5815	−	10.7280i	−0.980693	−	0.566203i	−0.0782137	−	0.996937i	$-0.524922\pi$
$359$	−18.5815	−	10.7280i	−0.980693	−	0.566203i	−0.902479	+	0.430733i	$0.858255\pi$
$360$	−0.132142	+	0.153866i	−0.00696448	+	0.00810945i
$361$	7.59435	+	13.1538i	0.399703	+	0.692305i
$362$	−18.4526			−0.969846
$363$	5.91792	−	4.90824i	0.310610	−	0.257616i
$364$	−8.51336	+	5.54650i	−0.446221	+	0.290715i
$365$	−0.414273	−	0.239181i	−0.0216841	−	0.0125193i
$366$	−0.0237195	−	0.139177i	−0.00123984	−	0.00727490i
$367$	−7.97484	−	4.60428i	−0.416283	−	0.240341i	0.277203	−	0.960811i	$-0.410593\pi$
$367$	−7.97484	−	4.60428i	−0.416283	−	0.240341i	−0.693486	+	0.720470i	$0.743926\pi$
$368$	4.78687	−	2.76370i	0.249533	−	0.144068i
$369$	5.74075	−	30.5095i	0.298852	−	1.58826i
$370$		−	0.588903i		−	0.0306156i
$371$	1.03383	+	19.1857i	0.0536739	+	0.996071i
$372$	2.16153	−	0.368383i	0.112070	−	0.0190998i
$373$	−14.1000	−	24.4219i	−0.730071	−	1.26452i	−0.956852	−	0.290574i	$-0.906154\pi$
$373$	−14.1000	−	24.4219i	−0.730071	−	1.26452i	0.226782	−	0.973946i	$-0.427180\pi$
$374$	−6.09297			−0.315060
$375$	0.196641	+	1.15381i	0.0101545	+	0.0595827i
$376$		−	3.54265i		−	0.182698i
$377$	5.35867			0.275986
$378$	−0.503750	−	13.7385i	−0.0259101	−	0.706632i
$379$	−4.72569			−0.242742			−0.121371	−	0.992607i	$-0.538729\pi$
$379$	−4.72569			−0.242742			−0.121371	+	0.992607i	$0.538729\pi$
$380$			0.395305i			0.0202787i
$381$	5.55143	+	32.5736i	0.284408	+	1.66880i
$382$	−23.3437			−1.19437
$383$	17.1174	+	29.6483i	0.874660	+	1.51496i	0.857124	+	0.515110i	$0.172249\pi$
$383$	17.1174	+	29.6483i	0.874660	+	1.51496i	0.0175357	+	0.999846i	$0.494418\pi$
$384$	1.70743	−	0.290993i	0.0871320	−	0.0148497i
$385$	0.626693	+	0.318154i	0.0319392	+	0.0162146i
$386$		−	21.2878i		−	1.08352i
$387$	−3.34942	−	2.87652i	−0.170260	−	0.146221i
$388$	0.363295	−	0.209749i	0.0184435	−	0.0106484i
$389$	−16.0167	−	9.24726i	−0.812080	−	0.468855i	0.0355974	−	0.999366i	$-0.488667\pi$
$389$	−16.0167	−	9.24726i	−0.812080	−	0.468855i	−0.847678	+	0.530511i	$0.822000\pi$
$390$	0.0755527	+	0.443314i	0.00382576	+	0.0224481i
$391$	7.42288	+	4.28560i	0.375391	+	0.216732i
$392$	5.65097	−	4.13117i	0.285417	−	0.208656i
$393$	−24.8880	+	20.6417i	−1.25543	+	1.04124i
$394$	−12.8467			−0.647206
$395$	0.231432	+	0.400851i	0.0116446	+	0.0201690i
$396$	−11.5844	−	2.17976i	−0.582140	−	0.109537i
$397$	−1.76126	−	1.01687i	−0.0883952	−	0.0510350i	0.455151	−	0.890414i	$-0.349585\pi$
$397$	−1.76126	−	1.01687i	−0.0883952	−	0.0510350i	−0.543546	+	0.839379i	$0.682919\pi$
$398$	1.87150	+	3.24154i	0.0938100	+	0.162484i
$399$	−18.1905	−	19.6741i	−0.910664	−	0.984935i
$400$	2.49771	−	4.32617i	0.124886	−	0.216308i
$401$	−27.2137	+	15.7118i	−1.35899	+	0.784611i	−0.989487	−	0.144620i	$-0.953804\pi$
$401$	−27.2137	+	15.7118i	−1.35899	+	0.784611i	−0.369499	+	0.929231i	$0.620471\pi$
$402$	26.2008	−	4.46532i	1.30678	−	0.222710i
$403$	2.43088	−	4.21041i	0.121091	−	0.209736i
$404$	8.69621	−	15.0623i	0.432653	−	0.749376i
$405$	−0.566850	−	0.221150i	−0.0281670	−	0.0109890i
$406$	−3.68638	+	0.198643i	−0.182952	+	0.00985847i
$407$	29.6409	−	17.1132i	1.46925	−	0.848270i
$408$	1.71462	+	2.06733i	0.0848861	+	0.102348i
$409$			0.550583i			0.0272246i	0.999907	+	0.0136123i	$0.00433306\pi$
$409$			0.550583i			0.0272246i	−0.999907	+	0.0136123i	$0.995667\pi$
$410$		−	0.699616i		−	0.0345516i
$411$	3.78196	−	10.2085i	0.186550	−	0.503550i
$412$	−0.867010	+	0.500568i	−0.0427145	+	0.0246612i
$413$	11.2591	−	22.1780i	0.554026	−	1.09131i
$414$	12.5798	+	10.8037i	0.618262	+	0.530970i
$415$	0.265826	−	0.460425i	0.0130489	−	0.0226014i
$416$	1.92020	−	3.32589i	0.0941457	−	0.163065i
$417$	3.81856	−	10.3073i	0.186995	−	0.504752i
$418$	−19.8967	+	11.4874i	−0.973179	+	0.561865i
$419$	11.5649	−	20.0310i	0.564984	−	0.978580i	−0.432068	−	0.901841i	$-0.642216\pi$
$419$	11.5649	−	20.0310i	0.564984	−	0.978580i	0.997051	−	0.0767392i	$-0.0244509\pi$
$420$	−0.0684081	−	0.302167i	−0.00333797	−	0.0147442i
$421$	5.49773	+	9.52235i	0.267943	+	0.464091i	0.968330	−	0.249672i	$-0.0803228\pi$
$421$	5.49773	+	9.52235i	0.267943	+	0.464091i	−0.700387	+	0.713763i	$0.746989\pi$
$422$	−8.13339	−	4.69581i	−0.395927	−	0.228589i
$423$	10.0280	−	3.52033i	0.487577	−	0.171164i
$424$	−3.63101	−	6.28910i	−0.176338	−	0.305426i
$425$	7.74628			0.375750
$426$	1.25411	+	7.35861i	0.0607617	+	0.356526i
$427$	0.192300	+	0.0976251i	0.00930605	+	0.00472441i
$428$	−8.02352	−	4.63238i	−0.387832	−	0.223915i
$429$	−20.1176	+	16.6852i	−0.971285	+	0.805570i
$430$	−0.0861666	−	0.0497483i	−0.00415532	−	0.00239908i
$431$	−7.19720	+	4.15530i	−0.346677	+	0.200154i	−0.663221	−	0.748424i	$-0.730811\pi$
$431$	−7.19720	+	4.15530i	−0.346677	+	0.200154i	0.316544	+	0.948578i	$0.397478\pi$
$432$	2.52037	+	4.54398i	0.121262	+	0.218622i
$433$			26.1051i			1.25453i	0.778806	+	0.627265i	$0.215826\pi$
$433$			26.1051i			1.25453i	−0.778806	+	0.627265i	$0.784174\pi$
$434$	−1.51619	+	2.98657i	−0.0727796	+	0.143360i
$435$	−0.0567620	+	0.153216i	−0.00272153	+	0.00734615i
$436$	−0.821501	−	1.42288i	−0.0393428	−	0.0681437i
$437$	32.3193			1.54604
$438$	−9.43312	+	7.82369i	−0.450732	+	0.373830i
$439$		−	40.8308i		−	1.94875i	−0.224940	−	0.974373i	$-0.572218\pi$
$439$		−	40.8308i		−	1.94875i	0.224940	−	0.974373i	$-0.427782\pi$
$440$	−0.265644			−0.0126641
$441$	17.3093	+	11.8907i	0.824250	+	0.566226i
$442$	5.95522			0.283261
$443$			18.2565i			0.867391i	0.901059	+	0.433696i	$0.142791\pi$
$443$			18.2565i			0.867391i	−0.901059	+	0.433696i	$0.857209\pi$
$444$	−14.1477	−	5.24130i	−0.671420	−	0.248741i
$445$	−0.790656			−0.0374807
$446$	10.2592	+	17.7695i	0.485788	+	0.841410i
$447$	−9.21824	−	11.1145i	−0.436008	−	0.525700i
$448$	−1.19767	+	2.35915i	−0.0565846	+	0.111459i
$449$			26.0881i			1.23117i	0.788070	+	0.615586i	$0.211081\pi$
$449$			26.0881i			1.23117i	−0.788070	+	0.615586i	$0.788919\pi$
$450$	14.7278	+	2.77123i	0.694277	+	0.130637i
$451$	35.2134	−	20.3305i	1.65813	−	0.957325i
$452$	−13.6537	−	7.88296i	−0.642216	−	0.370783i
$453$	22.9893	+	8.51683i	1.08013	+	0.400156i
$454$	16.2610	+	9.38828i	0.763166	+	0.440614i
$455$	−0.612524	−	0.310960i	−0.0287156	−	0.0145781i
$456$	9.49673	+	3.51826i	0.444725	+	0.164758i
$457$	−6.39973			−0.299367			−0.149683	−	0.988734i	$-0.547825\pi$
$457$	−6.39973			−0.299367			−0.149683	+	0.988734i	$0.547825\pi$
$458$	2.49265	+	4.31740i	0.116474	+	0.201739i
$459$	−4.14807	+	6.90778i	−0.193615	+	0.322428i
$460$	0.323625	+	0.186845i	0.0150891	+	0.00871170i
$461$	1.04099	+	1.80304i	0.0484836	+	0.0839761i	0.889249	−	0.457424i	$-0.151228\pi$
$461$	1.04099	+	1.80304i	0.0484836	+	0.0839761i	−0.840765	+	0.541400i	$0.817894\pi$
$462$	13.2209	−	12.2240i	0.615092	−	0.568710i
$463$	−0.959084	+	1.66118i	−0.0445724	+	0.0772017i	−0.887451	−	0.460902i	$-0.847526\pi$
$463$	−0.959084	+	1.66118i	−0.0445724	+	0.0772017i	0.842879	+	0.538104i	$0.180859\pi$
$464$	1.20840	−	0.697671i	0.0560986	−	0.0323885i
$465$	0.0946355	+	0.114103i	0.00438862	+	0.00529141i
$466$	7.37548	−	12.7747i	0.341663	−	0.591777i
$467$	−17.1178	+	29.6488i	−0.792116	+	1.37199i	0.132539	+	0.991178i	$0.457687\pi$
$467$	−17.1178	+	29.6488i	−0.792116	+	1.37199i	−0.924654	+	0.380807i	$0.875646\pi$
$468$	11.3225	+	2.13048i	0.523384	+	0.0984813i
$469$	−18.3784	+	36.2015i	−0.848637	+	1.67163i
$470$	0.207419	−	0.119754i	0.00956754	−	0.00552382i
$471$	28.1032	−	4.78955i	1.29493	−	0.220691i
$472$			9.40086i			0.432710i
$473$		−	5.78264i		−	0.265886i
$474$	11.6897	−	1.99225i	0.536928	−	0.0915071i
$475$	25.2956	−	14.6044i	1.16064	−	0.670096i
$476$	−4.09675	+	0.220756i	−0.187774	+	0.0101183i
$477$	14.1941	−	16.5276i	0.649902	−	0.756747i
$478$	−0.0897132	+	0.155388i	−0.00410339	+	0.00710728i
$479$	5.29123	−	9.16468i	0.241763	−	0.418745i	−0.719454	−	0.694540i	$-0.755608\pi$
$479$	5.29123	−	9.16468i	0.241763	−	0.418745i	0.961216	+	0.275795i	$0.0889411\pi$
$480$	0.0747545	+	0.0901323i	0.00341206	+	0.00411396i
$481$	−28.9708	+	16.7263i	−1.32095	+	0.762653i
$482$	3.06679	−	5.31183i	0.139688	−	0.241947i
$483$	−24.7046	+	5.59291i	−1.12410	+	0.254486i
$484$	−2.21947	−	3.84424i	−0.100885	−	0.174738i
$485$	0.0245613	+	0.0141804i	0.00111527	+	0.000643901i
$486$	−10.3579	+	11.6496i	−0.469844	+	0.528438i
$487$	5.95804	+	10.3196i	0.269985	+	0.467627i	0.968858	−	0.247619i	$-0.0796481\pi$
$487$	5.95804	+	10.3196i	0.269985	+	0.467627i	−0.698873	+	0.715246i	$0.746315\pi$
$488$	−0.0815124			−0.00368990
$489$	14.7262	+	5.45563i	0.665943	+	0.246712i
$490$	0.432899	+	0.191212i	0.0195564	+	0.00863809i
$491$	−14.9826	−	8.65023i	−0.676157	−	0.390379i	0.122248	−	0.992500i	$-0.460990\pi$
$491$	−14.9826	−	8.65023i	−0.676157	−	0.390379i	−0.798406	+	0.602120i	$0.794323\pi$
$492$	−16.8074	−	6.22666i	−0.757738	−	0.280719i
$493$	1.87384	+	1.08186i	0.0843933	+	0.0487245i
$494$	19.4468	−	11.2276i	0.874954	−	0.505155i
$495$	−0.263970	−	0.751944i	−0.0118646	−	0.0337974i
$496$		−	1.26595i		−	0.0568429i
$497$	−10.1674	−	5.16167i	−0.456068	−	0.231532i
$498$	−8.69528	−	10.4840i	−0.389645	−	0.469799i
$499$	6.41484	+	11.1108i	0.287168	+	0.497389i	0.973133	−	0.230246i	$-0.0739530\pi$
$499$	6.41484	+	11.1108i	0.287168	+	0.497389i	−0.685965	+	0.727635i	$0.740620\pi$
$500$	0.675760			0.0302209
$501$	−24.8473	−	9.20520i	−1.11010	−	0.411258i
$502$			1.11296i			0.0496739i
$503$	−10.9868			−0.489878			−0.244939	−	0.969539i	$-0.578768\pi$
$503$	−10.9868			−0.489878			−0.244939	+	0.969539i	$0.578768\pi$
$504$	−7.86804	−	1.04589i	−0.350471	−	0.0465879i
$505$	1.17585			0.0523245
$506$			21.7185i			0.965505i
$507$	2.33134	−	1.93358i	0.103539	−	0.0858734i
$508$	19.0776			0.846430
$509$	−14.4838	−	25.0868i	−0.641985	−	1.11195i	−0.984989	−	0.172617i	$-0.944778\pi$
$509$	−14.4838	−	25.0868i	−0.641985	−	1.11195i	0.343004	−	0.939334i	$-0.388556\pi$
$510$	−0.0630809	+	0.170272i	−0.00279327	+	0.00753979i
$511$	−1.00730	−	18.6933i	−0.0445602	−	0.826941i
$512$		−	1.00000i		−	0.0441942i
$513$	−0.522034	+	30.3780i	−0.0230484	+	1.34122i
$514$	4.11130	−	2.37366i	0.181342	−	0.104698i
$515$	−0.0586158	−	0.0338419i	−0.00258292	−	0.00149125i
$516$	−1.96204	+	1.62729i	−0.0863738	+	0.0716372i
$517$	12.0550	+	6.95996i	0.530178	+	0.306099i
$518$	19.3098	−	12.5804i	0.848422	−	0.552751i
$519$	0.669647	+	3.92923i	0.0293942	+	0.172474i
$520$	0.259638			0.0113859
$521$	−5.72133	−	9.90963i	−0.250656	−	0.434149i	0.713051	−	0.701113i	$-0.247313\pi$
$521$	−5.72133	−	9.90963i	−0.250656	−	0.434149i	−0.963707	+	0.266964i	$0.913980\pi$
$522$	3.17565	+	2.72728i	0.138994	+	0.119370i
$523$	14.1536	+	8.17161i	0.618896	+	0.357320i	0.776439	−	0.630192i	$-0.217024\pi$
$523$	14.1536	+	8.17161i	0.618896	+	0.357320i	−0.157543	+	0.987512i	$0.550357\pi$
$524$	9.33404	+	16.1670i	0.407759	+	0.706260i
$525$	−16.8084	+	15.5409i	−0.733577	+	0.678260i
$526$	2.10817	−	3.65146i	0.0919206	−	0.159211i
$527$	1.70008	−	0.981539i	0.0740565	−	0.0427565i
$528$	−2.36426	+	6.38178i	−0.102891	+	0.277731i
$529$	3.77610	−	6.54039i	0.164178	−	0.284365i
$530$	0.245482	−	0.425186i	0.0106630	−	0.0184689i
$531$	−26.6105	+	9.34164i	−1.15480	+	0.405392i
$532$	−12.9618	+	8.44468i	−0.561965	+	0.366123i
$533$	−34.4173	+	19.8708i	−1.49078	+	0.860700i
$534$	−7.03692	+	18.9946i	−0.304517	+	0.821975i
$535$		−	0.626362i		−	0.0270800i
$536$		−	15.3451i		−	0.662809i
$537$	17.6293	+	21.2559i	0.760763	+	0.917260i
$538$	13.8090	−	7.97265i	0.595350	−	0.343725i
$539$	2.95563	+	27.3454i	0.127308	+	1.17785i
$540$	−0.180849	+	0.301168i	−0.00778251	+	0.0129602i
$541$	15.9752	−	27.6699i	0.686830	−	1.18962i	−0.286029	−	0.958221i	$-0.592335\pi$
$541$	15.9752	−	27.6699i	0.686830	−	1.18962i	0.972858	−	0.231403i	$-0.0743314\pi$
$542$	8.19335	−	14.1913i	0.351934	−	0.609568i
$543$	−31.5065	+	5.36957i	−1.35207	+	0.230430i
$544$	1.34292	−	0.775337i	0.0575774	−	0.0332423i
$545$	0.0555391	−	0.0961966i	0.00237903	−	0.00412061i
$546$	−12.9220	+	11.9476i	−0.553010	+	0.511310i
$547$	15.4351	+	26.7344i	0.659958	+	1.14308i	0.980626	+	0.195889i	$0.0627591\pi$
$547$	15.4351	+	26.7344i	0.659958	+	1.14308i	−0.320668	+	0.947192i	$0.603908\pi$
$548$	−5.44329	−	3.14269i	−0.232526	−	0.134249i
$549$	−0.0809990	−	0.230733i	−0.00345695	−	0.00984744i
$550$	9.81413	+	16.9986i	0.418476	+	0.724821i
$551$	8.15871			0.347573
$552$	7.36904	−	6.11178i	0.313647	−	0.260135i
$553$	−8.19972	+	16.1517i	−0.348688	+	0.686839i
$554$	−1.60735	−	0.928004i	−0.0682897	−	0.0394271i
$555$	−0.171366	−	1.00551i	−0.00727410	−	0.0426816i
$556$	−5.49596	−	3.17309i	−0.233081	−	0.134569i
$557$	12.2398	−	7.06667i	0.518618	−	0.299424i	−0.217751	−	0.976004i	$-0.569872\pi$
$557$	12.2398	−	7.06667i	0.518618	−	0.299424i	0.736369	+	0.676580i	$0.236539\pi$
$558$	3.58346	−	1.25798i	0.151700	−	0.0532544i
$559$			5.65190i			0.239050i
$560$	−0.178612	+	0.00962461i	−0.00754773	+	0.000406714i
$561$	−10.4033	+	1.77301i	−0.439229	+	0.0748566i
$562$	0.362830	+	0.628441i	0.0153051	+	0.0265092i
$563$	−5.11436			−0.215544			−0.107772	−	0.994176i	$-0.534372\pi$
$563$	−5.11436			−0.215544			−0.107772	+	0.994176i	$0.534372\pi$
$564$	−1.03088	−	6.04883i	−0.0434081	−	0.254702i
$565$		−	1.06588i		−	0.0448421i
$566$	−11.6276			−0.488746
$567$	−4.85792	−	23.3110i	−0.204013	−	0.978968i
$568$	4.30975			0.180833
$569$		−	37.2203i		−	1.56035i	−0.625559	−	0.780177i	$-0.715129\pi$
$569$		−	37.2203i		−	1.56035i	0.625559	−	0.780177i	$-0.284871\pi$
$570$	0.115031	+	0.674956i	0.00481811	+	0.0282708i
$571$	5.27738			0.220851			0.110426	−	0.993884i	$-0.464779\pi$
$571$	5.27738			0.220851			0.110426	+	0.993884i	$0.464779\pi$
$572$	7.54494	+	13.0682i	0.315470	+	0.546410i
$573$	−39.8578	+	6.79285i	−1.66508	+	0.283775i
$574$	22.9400	−	14.9455i	0.957496	−	0.623813i
$575$		−	27.6118i		−	1.15149i
$576$	2.83065	−	0.993700i	0.117944	−	0.0414042i
$577$	−9.72172	+	5.61284i	−0.404721	+	0.233666i	−0.688519	−	0.725218i	$-0.741739\pi$
$577$	−9.72172	+	5.61284i	−0.404721	+	0.233666i	0.283798	+	0.958884i	$0.408405\pi$
$578$	−12.6400	−	7.29770i	−0.525754	−	0.303544i
$579$	−6.19459	−	36.3474i	−0.257438	−	1.51055i
$580$	0.0816962	+	0.0471673i	0.00339225	+	0.00195852i
$581$	20.7757	−	1.11951i	0.861923	−	0.0464452i
$582$	0.559267	−	0.463848i	0.0231823	−	0.0192271i
$583$	28.5343			1.18177
$584$	3.53782	+	6.12768i	0.146396	+	0.253565i
$585$	0.258002	+	0.734943i	0.0106671	+	0.0303861i
$586$	11.1723	+	6.45034i	0.461524	+	0.266461i
$587$	12.4037	+	21.4838i	0.511955	+	0.886732i	0.999904	+	0.0138602i	$0.00441196\pi$
$587$	12.4037	+	21.4838i	0.511955	+	0.886732i	−0.487949	+	0.872872i	$0.662255\pi$
$588$	8.44650	−	8.69808i	0.348328	−	0.358703i
$589$	3.70108	−	6.41046i	0.152500	−	0.264138i
$590$	−0.550413	+	0.317781i	−0.0226602	+	0.0130828i
$591$	−21.9348	+	3.73829i	−0.902278	+	0.153773i
$592$	−4.35534	+	7.54368i	−0.179004	+	0.310043i
$593$	−6.47382	+	11.2130i	−0.265848	+	0.460462i	−0.967785	−	0.251777i	$-0.918985\pi$
$593$	−6.47382	+	11.2130i	−0.265848	+	0.460462i	0.701938	+	0.712238i	$0.252319\pi$
$594$	−20.4139	−	0.350806i	−0.837594	−	0.0143937i
$595$	−0.151410	−	0.232400i	−0.00620718	−	0.00952746i
$596$	−7.21992	+	4.16842i	−0.295739	+	0.170745i
$597$	4.13873	+	4.99011i	0.169387	+	0.204232i
$598$		−	21.2275i		−	0.868056i
$599$		−	24.1574i		−	0.987043i	−0.869734	−	0.493522i	$-0.835709\pi$
$599$		−	24.1574i		−	0.987043i	0.869734	−	0.493522i	$-0.164291\pi$
$600$	3.00579	−	8.11345i	0.122711	−	0.331230i
$601$	−15.3377	+	8.85525i	−0.625640	+	0.361213i	−0.779061	−	0.626948i	$-0.784304\pi$
$601$	−15.3377	+	8.85525i	−0.625640	+	0.361213i	0.153422	+	0.988161i	$0.450971\pi$
$602$	−0.209512	−	3.88809i	−0.00853908	−	0.158467i
$603$	43.4367	−	15.2485i	1.76888	−	0.620966i
$604$	7.07721	−	12.2581i	0.287967	−	0.498774i
$605$	0.150052	−	0.259897i	0.00610046	−	0.0105663i
$606$	10.4652	−	28.2483i	0.425118	−	1.14751i
$607$	−5.27200	+	3.04379i	−0.213984	+	0.123544i	−0.603162	−	0.797619i	$-0.706093\pi$
$607$	−5.27200	+	3.04379i	−0.213984	+	0.123544i	0.389178	+	0.921163i	$0.372759\pi$
$608$	2.92356	−	5.06375i	0.118566	−	0.205362i
$609$	−6.23644	+	1.41188i	−0.252713	+	0.0572122i
$610$	−0.00275540	−	0.00477249i	−0.000111563	−	0.000193233i
$611$	−11.7824	−	6.80260i	−0.476667	−	0.275204i
$612$	3.52917	+	3.03089i	0.142658	+	0.122516i
$613$	16.5026	+	28.5834i	0.666535	+	1.15447i	0.978867	+	0.204499i	$0.0655566\pi$
$613$	16.5026	+	28.5834i	0.666535	+	1.15447i	−0.312332	+	0.949973i	$0.601110\pi$
$614$	−20.5111			−0.827760
$615$	−0.203583	−	1.19455i	−0.00820926	−	0.0481687i
$616$	−5.67480	−	8.71030i	−0.228644	−	0.350948i
$617$	−8.36942	−	4.83209i	−0.336940	−	0.194533i	0.321978	−	0.946747i	$-0.395652\pi$
$617$	−8.36942	−	4.83209i	−0.336940	−	0.194533i	−0.658918	+	0.752215i	$0.728986\pi$
$618$	−1.33470	+	1.10698i	−0.0536894	+	0.0445293i
$619$	15.6756	+	9.05034i	0.630057	+	0.363764i	0.780774	−	0.624813i	$-0.214825\pi$
$619$	15.6756	+	9.05034i	0.630057	+	0.363764i	−0.150717	+	0.988577i	$0.548158\pi$
$620$	0.0741205	−	0.0427935i	0.00297675	−	0.00171863i
$621$	24.6229	+	14.7859i	0.988083	+	0.593337i
$622$			15.0288i			0.602601i
$623$	−16.8903	−	25.9251i	−0.676697	−	1.03867i
$624$	2.31080	−	6.23749i	0.0925062	−	0.249699i
$625$	−12.4657	−	21.5913i	−0.498629	−	0.863651i
$626$	−1.11536			−0.0445787
$627$	−30.6295	+	25.4037i	−1.22322	+	1.01452i
$628$		−	16.4593i		−	0.656799i
$629$	−13.5074			−0.538577
$630$	−0.204731	−	0.496023i	−0.00815666	−	0.0197620i
$631$	−5.07079			−0.201865			−0.100932	−	0.994893i	$-0.532183\pi$
$631$	−5.07079			−0.201865			−0.100932	+	0.994893i	$0.532183\pi$
$632$		−	6.84639i		−	0.272335i
$633$	−15.2536	−	5.65102i	−0.606278	−	0.224608i
$634$	1.23344			0.0489861
$635$	0.644887	+	1.11698i	0.0255916	+	0.0443259i
$636$	−8.02979	−	9.68161i	−0.318402	−	0.383901i
$637$	−2.88881	−	26.7272i	−0.114459	−	1.05897i
$638$			5.48263i			0.217060i
$639$	4.28260	+	12.1994i	0.169417	+	0.482600i
$640$	0.0585493	−	0.0338034i	0.00231436	−	0.00133620i
$641$	−7.62707	−	4.40349i	−0.301251	−	0.173927i	0.341754	−	0.939790i	$-0.388979\pi$
$641$	−7.62707	−	4.40349i	−0.301251	−	0.173927i	−0.643005	+	0.765862i	$0.722312\pi$
$642$	−15.0476	−	5.57469i	−0.593882	−	0.220016i
$643$	−2.52364	−	1.45702i	−0.0995227	−	0.0574594i	0.449413	−	0.893324i	$-0.351633\pi$
$643$	−2.52364	−	1.45702i	−0.0995227	−	0.0574594i	−0.548935	+	0.835865i	$0.684967\pi$
$644$	0.786889	+	14.6030i	0.0310078	+	0.575437i
$645$	−0.161600	−	0.0598680i	−0.00636299	−	0.00235730i
$646$	9.06696			0.356735
$647$	−5.15173	−	8.92306i	−0.202535	−	0.350802i	0.746809	−	0.665038i	$-0.231585\pi$
$647$	−5.15173	−	8.92306i	−0.202535	−	0.350802i	−0.949345	+	0.314237i	$0.898251\pi$
$648$	5.62563	+	7.02512i	0.220996	+	0.275973i
$649$	−31.9895	−	18.4691i	−1.25570	−	0.724976i
$650$	−9.59223	−	16.6142i	−0.376238	−	0.651664i
$651$	−1.71973	+	5.54056i	−0.0674014	+	0.217152i
$652$	4.53345	−	7.85216i	0.177544	−	0.307515i
$653$	15.3666	−	8.87194i	0.601343	−	0.347186i	−0.168227	−	0.985748i	$-0.553804\pi$
$653$	15.3666	−	8.87194i	0.601343	−	0.347186i	0.769570	+	0.638563i	$0.220471\pi$
$654$	−1.81671	−	2.19042i	−0.0710388	−	0.0856523i
$655$	−0.631045	+	1.09300i	−0.0246570	+	0.0427071i
$656$	−5.17415	+	8.96188i	−0.202016	+	0.349903i
$657$	−13.8298	+	16.1034i	−0.539550	+	0.628253i
$658$	8.35763	+	4.24292i	0.325814	+	0.165406i
$659$	−4.08467	+	2.35828i	−0.159116	+	0.0918657i	−0.577444	−	0.816430i	$-0.695950\pi$
$659$	−4.08467	+	2.35828i	−0.159116	+	0.0918657i	0.418328	+	0.908296i	$0.362616\pi$
$660$	−0.453569	+	0.0773004i	−0.0176551	+	0.00300891i
$661$		−	9.42879i		−	0.366737i	−0.983044	−	0.183369i	$-0.941300\pi$
$661$		−	9.42879i		−	0.366737i	0.983044	−	0.183369i	$-0.0587002\pi$
$662$			5.02462i			0.195288i
$663$	10.1681	−	1.73292i	0.394897	−	0.0673012i
$664$	−6.81032	+	3.93194i	−0.264292	+	0.152589i
$665$	−0.932583	−	0.473445i	−0.0361640	−	0.0183594i
$666$	−25.6814	−	4.83228i	−0.995134	−	0.187247i
$667$	3.85631	−	6.67932i	0.149317	−	0.258624i
$668$	−7.64922	+	13.2488i	−0.295957	+	0.512613i
$669$	22.6877	+	27.3548i	0.877157	+	1.05760i
$670$	0.898447	−	0.518719i	0.0347100	−	0.0200398i
$671$	0.160141	−	0.277372i	0.00618218	−	0.0107078i
$672$	−1.35845	+	4.37660i	−0.0524032	+	0.168831i
$673$	−6.42728	−	11.1324i	−0.247753	−	0.429122i	0.715149	−	0.698972i	$-0.246359\pi$
$673$	−6.42728	−	11.1324i	−0.247753	−	0.429122i	−0.962902	+	0.269851i	$0.913026\pi$
$674$	−18.4213	−	10.6356i	−0.709563	−	0.409666i
$675$	25.9532	+	0.445996i	0.998938	+	0.0171664i
$676$	−0.874352	−	1.51442i	−0.0336289	−	0.0582470i
$677$	49.1893			1.89050			0.945248	−	0.326352i	$-0.105819\pi$
$677$	49.1893			1.89050			0.945248	+	0.326352i	$0.105819\pi$
$678$	−25.6066	−	9.48649i	−0.983417	−	0.364327i
$679$	0.0597202	+	1.10828i	0.00229185	+	0.0425318i
$680$	0.0907908	+	0.0524181i	0.00348167	+	0.00201014i
$681$	30.4964	+	11.2980i	1.16863	+	0.432941i
$682$	4.30781	+	2.48712i	0.164955	+	0.0952366i
$683$	36.2732	−	20.9424i	1.38796	−	0.801337i	0.394872	−	0.918736i	$-0.370789\pi$
$683$	36.2732	−	20.9424i	1.38796	−	0.801337i	0.993085	+	0.117399i	$0.0374556\pi$
$684$	17.2388	+	3.24370i	0.659142	+	0.124026i
$685$		−	0.424934i		−	0.0162359i
$686$	2.97805	+	18.2793i	0.113702	+	0.697905i
$687$	5.51237	+	6.64633i	0.210310	+	0.253573i
$688$	0.735847	+	1.27452i	0.0280539	+	0.0485908i
$689$	−27.8891			−1.06249
$690$	0.606939	+	0.224853i	0.0231058	+	0.00856000i
$691$		−	6.42914i		−	0.244576i	−0.992495	−	0.122288i	$-0.960977\pi$
$691$		−	6.42914i		−	0.244576i	0.992495	−	0.122288i	$-0.0390231\pi$
$692$	2.30125			0.0874804
$693$	19.0167	−	24.7188i	0.722385	−	0.938989i
$694$	−21.5735			−0.818919
$695$		−	0.429046i		−	0.0162746i
$696$	1.86025	−	1.54286i	0.0705124	−	0.0584820i
$697$	−16.0468			−0.607817
$698$	13.9202	+	24.1105i	0.526888	+	0.912597i
$699$	8.87578	−	23.9581i	0.335713	−	0.906180i
$700$	7.21464	+	11.0738i	0.272688	+	0.418551i
$701$		−	33.7907i		−	1.27626i	−0.769930	−	0.638129i	$-0.779709\pi$
$701$		−	33.7907i		−	1.27626i	0.769930	−	0.638129i	$-0.220291\pi$
$702$	19.9524	+	0.342874i	0.753054	+	0.0129410i
$703$	−44.1087	+	25.4662i	−1.66359	+	0.960475i
$704$	3.40282	+	1.96462i	0.128249	+	0.0740444i
$705$	0.319307	−	0.264829i	0.0120258	−	0.00997402i
$706$	−4.93850	−	2.85124i	−0.185863	−	0.107308i
$707$	25.1190	+	38.5553i	0.944696	+	1.45002i
$708$	2.73558	+	16.0513i	0.102809	+	0.603246i
$709$	−29.6833			−1.11478			−0.557390	−	0.830251i	$-0.688197\pi$
$709$	−29.6833			−1.11478			−0.557390	+	0.830251i	$0.688197\pi$
$710$	0.145685	+	0.252333i	0.00546744	+	0.00946989i
$711$	19.3797	−	6.80326i	0.726796	−	0.255142i
$712$	10.1281	+	5.84745i	0.379566	+	0.219142i
$713$	−3.49871	−	6.05995i	−0.131028	−	0.226947i
$714$	−6.93069	+	1.56905i	−0.259375	+	0.0587203i
$715$	−0.510090	+	0.883501i	−0.0190763	+	0.0330411i
$716$	13.8077	−	7.97186i	0.516017	−	0.297923i
$717$	−0.107962	+	0.291420i	−0.00403193	+	0.0108833i
$718$	−10.7280	+	18.5815i	−0.400366	+	0.693455i
$719$	−18.1588	+	31.4519i	−0.677207	+	1.17296i	0.298611	+	0.954375i	$0.403477\pi$
$719$	−18.1588	+	31.4519i	−0.677207	+	1.17296i	−0.975818	+	0.218583i	$0.929857\pi$
$720$	0.153866	+	0.132142i	0.00573425	+	0.00492463i
$721$	−0.142523	−	2.64492i	−0.00530784	−	0.0985020i
$722$	13.1538	−	7.59435i	0.489534	−	0.282632i
$723$	3.69063	−	9.96200i	0.137256	−	0.370491i
$724$			18.4526i			0.685785i
$725$		−	6.97033i		−	0.258872i
$726$	−4.90824	−	5.91792i	−0.182162	−	0.219635i
$727$	14.9225	−	8.61552i	0.553446	−	0.319532i	−0.197065	−	0.980390i	$-0.563141\pi$
$727$	14.9225	−	8.61552i	0.553446	−	0.319532i	0.750511	+	0.660858i	$0.229808\pi$
$728$	5.54650	+	8.51336i	0.205567	+	0.315526i
$729$	−14.2954	+	22.9050i	−0.529461	+	0.848335i
$730$	−0.239181	+	0.414273i	−0.00885248	+	0.0153329i
$731$	−1.14106	+	1.97637i	−0.0422036	+	0.0730987i
$732$	−0.139177	+	0.0237195i	−0.00514413	+	0.000876699i
$733$	−37.2907	+	21.5298i	−1.37736	+	0.795222i	−0.991842	−	0.127477i	$-0.959312\pi$
$733$	−37.2907	+	21.5298i	−1.37736	+	0.795222i	−0.385523	+	0.922698i	$0.625979\pi$
$734$	−4.60428	+	7.97484i	−0.169947	+	0.294357i
$735$	0.794787	+	0.200511i	0.0293162	+	0.00739598i
$736$	−2.76370	−	4.78687i	−0.101871	−	0.176446i
$737$	52.2168	+	30.1474i	1.92343	+	1.11049i
$738$	−30.5095	−	5.74075i	−1.12307	−	0.211320i
$739$	−1.87511	−	3.24778i	−0.0689770	−	0.119472i	0.829474	−	0.558545i	$-0.188640\pi$
$739$	−1.87511	−	3.24778i	−0.0689770	−	0.119472i	−0.898451	+	0.439073i	$0.855307\pi$
$740$	−0.588903			−0.0216485
$741$	29.9370	−	24.8293i	1.09976	−	0.912127i
$742$	19.1857	−	1.03383i	0.704329	−	0.0379532i
$743$	−23.9862	−	13.8484i	−0.879967	−	0.508049i	−0.00931965	−	0.999957i	$-0.502967\pi$
$743$	−23.9862	−	13.8484i	−0.879967	−	0.508049i	−0.870648	+	0.491907i	$0.836300\pi$
$744$	−0.368383	−	2.16153i	−0.0135056	−	0.0792454i
$745$	−0.488116	−	0.281814i	−0.0178832	−	0.0103249i
$746$	−24.4219	+	14.1000i	−0.894151	+	0.516238i
$747$	−17.8974	−	15.3704i	−0.654830	−	0.562375i
$748$			6.09297i			0.222781i
$749$	20.5380	−	13.3806i	0.750443	−	0.488917i
$750$	1.15381	−	0.196641i	0.0421313	−	0.00718032i
$751$	2.08856	+	3.61750i	0.0762127	+	0.132004i	0.901613	−	0.432544i	$-0.142384\pi$
$751$	2.08856	+	3.61750i	0.0762127	+	0.132004i	−0.825400	+	0.564548i	$0.809051\pi$
$752$	−3.54265			−0.129187
$753$	0.323863	+	1.90030i	0.0118022	+	0.0692509i
$754$		−	5.35867i		−	0.195151i
$755$	0.956936			0.0348264
$756$	−13.7385	+	0.503750i	−0.499664	+	0.0183212i
$757$	35.9359			1.30611			0.653057	−	0.757309i	$-0.273486\pi$
$757$	35.9359			1.30611			0.653057	+	0.757309i	$0.273486\pi$
$758$			4.72569i			0.171645i
$759$	6.31993	+	37.0829i	0.229399	+	1.34602i
$760$	0.395305			0.0143392
$761$	−14.5715	−	25.2385i	−0.528216	−	0.914896i	−0.999459	−	0.0328930i	$-0.989528\pi$
$761$	−14.5715	−	25.2385i	−0.528216	−	0.914896i	0.471243	−	0.882003i	$-0.343805\pi$
$762$	32.5736	−	5.55143i	1.18002	−	0.201107i
$763$	4.34068	−	0.233900i	0.157143	−	0.00846775i
$764$			23.3437i			0.844546i
$765$	−0.0581583	+	0.309085i	−0.00210272	+	0.0111750i
$766$	29.6483	−	17.1174i	1.07124	−	0.618478i
$767$	31.2662	+	18.0515i	1.12896	+	0.651804i
$768$	−0.290993	−	1.70743i	−0.0105003	−	0.0616116i
$769$	0.795911	+	0.459519i	0.0287013	+	0.0165707i	0.514282	−	0.857621i	$-0.328058\pi$
$769$	0.795911	+	0.459519i	0.0287013	+	0.0165707i	−0.485581	+	0.874192i	$0.661392\pi$
$770$	0.318154	−	0.626693i	0.0114655	−	0.0225845i
$771$	6.32904	−	5.24922i	0.227935	−	0.189046i
$772$	−21.2878			−0.766164
$773$	−4.69708	−	8.13558i	−0.168942	−	0.292616i	0.769106	−	0.639121i	$-0.220702\pi$
$773$	−4.69708	−	8.13558i	−0.168942	−	0.292616i	−0.938048	+	0.346505i	$0.887368\pi$
$774$	−2.87652	+	3.34942i	−0.103394	+	0.120392i
$775$	−5.47672	−	3.16199i	−0.196730	−	0.113582i
$776$	−0.209749	−	0.363295i	−0.00752954	−	0.0130415i
$777$	29.3093	−	27.0992i	1.05146	−	0.972177i
$778$	−9.24726	+	16.0167i	−0.331530	+	0.574228i
$779$	−52.4011	+	30.2538i	−1.87747	+	1.08396i
$780$	0.443314	−	0.0755527i	0.0158732	−	0.00270522i
$781$	−8.46703	+	14.6653i	−0.302974	+	0.524767i
$782$	4.28560	−	7.42288i	0.153253	−	0.265442i
$783$	6.21582	+	3.73256i	0.222135	+	0.133391i
$784$	−4.13117	−	5.65097i	−0.147542	−	0.201820i
$785$	0.963683	−	0.556383i	0.0343953	−	0.0198581i
$786$	20.6417	+	24.8880i	0.736266	+	0.887724i
$787$			30.5960i			1.09063i	0.838231	+	0.545315i	$0.183590\pi$
$787$			30.5960i			1.09063i	−0.838231	+	0.545315i	$0.816410\pi$
$788$			12.8467i			0.457644i
$789$	2.53701	−	6.84808i	0.0903199	−	0.243798i
$790$	0.400851	−	0.231432i	0.0142617	−	0.00823397i
$791$	34.9497	−	22.7699i	1.24267	−	0.809604i
$792$	−2.17976	+	11.5844i	−0.0774544	+	0.411635i
$793$	−0.156520	+	0.271101i	−0.00555820	+	0.00962709i
$794$	−1.01687	+	1.76126i	−0.0360872	+	0.0625049i
$795$	0.295417	−	0.797410i	0.0104774	−	0.0282812i
$796$	3.24154	−	1.87150i	0.114893	−	0.0663337i
$797$	−1.64717	+	2.85299i	−0.0583459	+	0.101058i	−0.893723	−	0.448619i	$-0.851916\pi$
$797$	−1.64717	+	2.85299i	−0.0583459	+	0.101058i	0.835377	+	0.549677i	$0.185249\pi$
$798$	−19.6741	+	18.1905i	−0.696454	+	0.643937i
$799$	−2.74674	−	4.75750i	−0.0971728	−	0.168308i
$800$	−4.32617	−	2.49771i	−0.152953	−	0.0883075i
$801$	−6.48778	+	34.4796i	−0.229235	+	1.21828i
$802$	15.7118	+	27.2137i	0.554804	+	0.960948i
$803$	−27.8019			−0.981107
$804$	−4.46532	−	26.2008i	−0.157480	−	0.924030i
$805$	−0.828393	+	0.539702i	−0.0291970	+	0.0190220i
$806$	−4.21041	−	2.43088i	−0.148305	−	0.0856242i
$807$	21.2580	−	17.6311i	0.748317	−	0.620644i
$808$	−15.0623	−	8.69621i	−0.529889	−	0.305932i
$809$	19.7833	−	11.4219i	0.695542	−	0.401572i	−0.110143	−	0.993916i	$-0.535131\pi$
$809$	19.7833	−	11.4219i	0.695542	−	0.401572i	0.805685	+	0.592344i	$0.201797\pi$
$810$	−0.221150	+	0.566850i	−0.00777042	+	0.0199171i
$811$		−	23.9412i		−	0.840691i	−0.907364	−	0.420345i	$-0.861909\pi$
$811$		−	23.9412i		−	0.840691i	0.907364	−	0.420345i	$-0.138091\pi$
$812$	0.198643	+	3.68638i	0.00697099	+	0.129367i
$813$	9.86002	−	26.6149i	0.345806	−	0.933424i
$814$	−17.1132	−	29.6409i	−0.599818	−	1.03891i
$815$	0.612985			0.0214719
$816$	2.06733	−	1.71462i	0.0723711	−	0.0600236i
$817$			8.60515i			0.301056i
$818$	0.550583			0.0192507
$819$	−18.5868	+	24.1599i	−0.649474	+	0.844215i
$820$	−0.699616			−0.0244316
$821$		−	2.28557i		−	0.0797669i	−0.999204	−	0.0398834i	$-0.987301\pi$
$821$		−	2.28557i		−	0.0797669i	0.999204	−	0.0398834i	$-0.0126987\pi$
$822$	−10.2085	−	3.78196i	−0.356064	−	0.131911i
$823$	−22.9703			−0.800694			−0.400347	−	0.916364i	$-0.631110\pi$
$823$	−22.9703			−0.800694			−0.400347	+	0.916364i	$0.631110\pi$
$824$	0.500568	+	0.867010i	0.0174381	+	0.0302037i
$825$	21.7034	+	26.1680i	0.755616	+	0.911055i
$826$	−22.1780	−	11.2591i	−0.771672	−	0.391755i
$827$			15.1679i			0.527438i	0.964600	+	0.263719i	$0.0849492\pi$
$827$			15.1679i			0.527438i	−0.964600	+	0.263719i	$0.915051\pi$
$828$	10.8037	−	12.5798i	0.375453	−	0.437178i
$829$	−5.73806	+	3.31287i	−0.199291	+	0.115061i	−0.596325	−	0.802743i	$-0.703373\pi$
$829$	−5.73806	+	3.31287i	−0.199291	+	0.115061i	0.397034	+	0.917804i	$0.370040\pi$
$830$	−0.460425	−	0.265826i	−0.0159816	−	0.00922697i
$831$	−3.01448	−	1.11678i	−0.104571	−	0.0387405i
$832$	−3.32589	−	1.92020i	−0.115304	−	0.0665710i
$833$	4.38577	−	9.92925i	0.151958	−	0.344028i
$834$	−10.3073	−	3.81856i	−0.356913	−	0.132226i
$835$	−1.03428			−0.0357927
$836$	11.4874	+	19.8967i	0.397299	+	0.688141i
$837$	5.75245	−	3.19067i	0.198834	−	0.110286i
$838$	−20.0310	−	11.5649i	−0.691961	−	0.399504i
$839$	23.8462	+	41.3029i	0.823264	+	1.42593i	0.903239	+	0.429138i	$0.141182\pi$
$839$	23.8462	+	41.3029i	0.823264	+	1.42593i	−0.0799756	+	0.996797i	$0.525484\pi$
$840$	−0.302167	+	0.0684081i	−0.0104257	+	0.00236030i
$841$	−13.5265	+	23.4286i	−0.466431	+	0.807883i
$842$	9.52235	−	5.49773i	0.328162	−	0.189464i
$843$	0.802380	+	0.967439i	0.0276354	+	0.0333204i
$844$	−4.69581	+	8.13339i	−0.161637	+	0.279963i
$845$	0.0591122	−	0.102385i	0.00203352	−	0.00352216i
$846$	−3.52033	−	10.0280i	−0.121031	−	0.344769i
$847$	11.7273	−	0.631934i	0.402956	−	0.0217135i
$848$	−6.28910	+	3.63101i	−0.215969	+	0.124690i
$849$	−19.8534	+	3.38356i	−0.681367	+	0.116124i
$850$		−	7.74628i		−	0.265695i
$851$			48.1475i			1.65048i
$852$	7.35861	−	1.25411i	0.252102	−	0.0429650i
$853$	22.0983	−	12.7585i	0.756632	−	0.436842i	−0.0714529	−	0.997444i	$-0.522764\pi$
$853$	22.0983	−	12.7585i	0.756632	−	0.436842i	0.828085	+	0.560602i	$0.189430\pi$
$854$	0.0976251	−	0.192300i	0.00334066	−	0.00658037i
$855$	0.392815	+	1.11897i	0.0134340	+	0.0382679i
$856$	−4.63238	+	8.02352i	−0.158332	+	0.274238i
$857$	−3.19043	+	5.52598i	−0.108983	+	0.188764i	−0.915358	−	0.402640i	$-0.868093\pi$
$857$	−3.19043	+	5.52598i	−0.108983	+	0.188764i	0.806376	+	0.591404i	$0.201426\pi$
$858$	16.6852	+	20.1176i	0.569624	+	0.686802i
$859$	29.7468	−	17.1743i	1.01495	−	0.585980i	0.102310	−	0.994753i	$-0.467376\pi$
$859$	29.7468	−	17.1743i	1.01495	−	0.585980i	0.912636	+	0.408773i	$0.134043\pi$
$860$	−0.0497483	+	0.0861666i	−0.00169640	+	0.00293826i
$861$	34.8194	−	32.1938i	1.18664	−	1.09716i
$862$	4.15530	+	7.19720i	0.141530	+	0.245137i
$863$	−31.3380	−	18.0930i	−1.06676	−	0.615893i	−0.139464	−	0.990227i	$-0.544538\pi$
$863$	−31.3380	−	18.0930i	−1.06676	−	0.615893i	−0.927294	+	0.374334i	$0.877871\pi$
$864$	4.54398	−	2.52037i	0.154589	−	0.0857448i
$865$	0.0777901	+	0.134736i	0.00264494	+	0.00458118i
$866$	26.1051			0.887087
$867$	−23.7055	−	8.78219i	−0.805081	−	0.298259i
$868$	2.98657	+	1.51619i	0.101371	+	0.0514629i
$869$	23.2971	+	13.4506i	0.790299	+	0.456279i
$870$	0.153216	+	0.0567620i	0.00519451	+	0.00192441i
$871$	−51.0362	−	29.4658i	−1.72930	−	0.998410i
$872$	−1.42288	+	0.821501i	−0.0481849	+	0.0278195i
$873$	0.819933	−	0.954731i	0.0277505	−	0.0323127i
$874$		−	32.3193i		−	1.09322i
$875$	−0.809338	+	1.59422i	−0.0273606	+	0.0538944i
$876$	7.82369	+	9.43312i	0.264338	+	0.318715i
$877$	−17.0155	−	29.4716i	−0.574571	−	0.995186i	−0.996088	−	0.0883657i	$-0.971836\pi$
$877$	−17.0155	−	29.4716i	−0.574571	−	0.995186i	0.421517	−	0.906820i	$-0.361498\pi$
$878$	−40.8308			−1.37797
$879$	20.9530	+	7.76246i	0.706727	+	0.261821i
$880$			0.265644i			0.00895485i
$881$	26.6961			0.899416			0.449708	−	0.893176i	$-0.351528\pi$
$881$	26.6961			0.899416			0.449708	+	0.893176i	$0.351528\pi$
$882$	11.8907	−	17.3093i	0.400382	−	0.582833i
$883$	11.2126			0.377333			0.188667	−	0.982041i	$-0.439583\pi$
$883$	11.2126			0.377333			0.188667	+	0.982041i	$0.439583\pi$
$884$		−	5.95522i		−	0.200296i
$885$	−0.847321	+	0.702756i	−0.0284824	+	0.0236229i
$886$	18.2565			0.613338
$887$	5.09353	+	8.82225i	0.171024	+	0.296222i	0.938778	−	0.344522i	$-0.111959\pi$
$887$	5.09353	+	8.82225i	0.171024	+	0.296222i	−0.767754	+	0.640745i	$0.778626\pi$
$888$	−5.24130	+	14.1477i	−0.175886	+	0.474765i
$889$	−22.8486	+	45.0068i	−0.766318	+	1.50948i
$890$			0.790656i			0.0265028i
$891$	−34.9575	+	5.34133i	−1.17112	+	0.178941i
$892$	17.7695	−	10.2592i	0.594966	−	0.343504i
$893$	−17.9391	−	10.3571i	−0.600308	−	0.346588i
$894$	−11.1145	+	9.21824i	−0.371726	+	0.308304i
$895$	0.933494	+	0.538953i	0.0312033	+	0.0180152i
$896$	2.35915	+	1.19767i	0.0788136	+	0.0400114i
$897$	−6.17704	−	36.2445i	−0.206245	−	1.21017i
$898$	26.0881			0.870570
$899$	−0.883217	−	1.52978i	−0.0294569	−	0.0510209i
$900$	2.77123	−	14.7278i	0.0923744	−	0.490928i
$901$	−9.75235	−	5.63052i	−0.324898	−	0.187580i
$902$	−20.3305	−	35.2134i	−0.676931	−	1.17248i
$903$	−1.48913	−	6.57769i	−0.0495553	−	0.218892i
$904$	−7.88296	+	13.6537i	−0.262183	+	0.454115i
$905$	−1.08039	+	0.623761i	−0.0359132	+	0.0207345i
$906$	8.51683	−	22.9893i	0.282953	−	0.763767i
$907$	7.57428	−	13.1190i	0.251500	−	0.435611i	−0.712439	−	0.701734i	$-0.752409\pi$
$907$	7.57428	−	13.1190i	0.251500	−	0.435611i	0.963939	+	0.266123i	$0.0857428\pi$
$908$	9.38828	−	16.2610i	0.311561	−	0.539640i
$909$	9.64850	−	51.2774i	0.320021	−	1.70076i
$910$	−0.310960	+	0.612524i	−0.0103082	+	0.0203050i
$911$	−8.43020	+	4.86718i	−0.279305	+	0.161257i	−0.633109	−	0.774063i	$-0.718221\pi$
$911$	−8.43020	+	4.86718i	−0.279305	+	0.161257i	0.353804	+	0.935320i	$0.384888\pi$
$912$	3.51826	−	9.49673i	0.116501	−	0.314468i
$913$		−	30.8991i		−	1.02261i
$914$			6.39973i			0.211684i
$915$	−0.00609342	−	0.00734691i	−0.000201442	−	0.000242881i
$916$	4.31740	−	2.49265i	0.142651	−	0.0823596i
$917$	−49.3195	+	2.65761i	−1.62867	+	0.0877621i
$918$	6.90778	+	4.14807i	0.227991	+	0.136907i
$919$	−4.01638	+	6.95658i	−0.132488	+	0.229476i	−0.924635	−	0.380854i	$-0.875630\pi$
$919$	−4.01638	+	6.95658i	−0.132488	+	0.229476i	0.792147	+	0.610330i	$0.208963\pi$
$920$	0.186845	−	0.323625i	0.00616011	−	0.0106696i
$921$	−35.0213	+	5.96858i	−1.15399	+	0.196671i
$922$	1.80304	−	1.04099i	0.0593800	−	0.0342831i
$923$	8.27560	−	14.3338i	0.272395	−	0.471801i
$924$	−12.2240	−	13.2209i	−0.402139	−	0.434936i
$925$	21.7568	+	37.6839i	0.715360	+	1.23904i
$926$	1.66118	+	0.959084i	0.0545898	+	0.0315175i
$927$	−1.95678	+	2.27848i	−0.0642692	+	0.0748351i
$928$	−0.697671	−	1.20840i	−0.0229022	−	0.0396677i
$929$	−26.2128			−0.860014			−0.430007	−	0.902826i	$-0.641489\pi$
$929$	−26.2128			−0.860014			−0.430007	+	0.902826i	$0.641489\pi$
$930$	0.114103	−	0.0946355i	0.00374159	−	0.00310322i
$931$	−4.39828	−	40.6928i	−0.144148	−	1.33365i
$932$	−12.7747	−	7.37548i	−0.418449	−	0.241592i
$933$	4.37328	+	25.6607i	0.143175	+	0.840093i
$934$	29.6488	+	17.1178i	0.970140	+	0.560111i
$935$	−0.356739	+	0.205963i	−0.0116666	+	0.00673573i
$936$	2.13048	−	11.3225i	0.0696368	−	0.370088i
$937$		−	37.5797i		−	1.22768i	−0.789432	−	0.613838i	$-0.789625\pi$
$937$		−	37.5797i		−	1.22768i	0.789432	−	0.613838i	$-0.210375\pi$
$938$	36.2015	+	18.3784i	1.18202	+	0.600077i
$939$	−1.90440	+	0.324561i	−0.0621477	+	0.0105917i
$940$	−0.119754	−	0.207419i	−0.00390593	−	0.00676527i
$941$	9.27309			0.302294			0.151147	−	0.988511i	$-0.451703\pi$
$941$	9.27309			0.302294			0.151147	+	0.988511i	$0.451703\pi$
$942$	−4.78955	−	28.1032i	−0.156052	−	0.915652i
$943$			57.1992i			1.86266i
$944$	9.40086			0.305972
$945$	−0.493903	−	0.787350i	−0.0160666	−	0.0256125i
$946$	−5.78264			−0.188010
$947$			13.8586i			0.450343i	0.974319	+	0.225171i	$0.0722942\pi$
$947$			13.8586i			0.450343i	−0.974319	+	0.225171i	$0.927706\pi$
$948$	−1.99225	−	11.6897i	−0.0647053	−	0.379665i
$949$	27.1733			0.882083
$950$	−14.6044	−	25.2956i	−0.473830	−	0.820697i
$951$	2.10601	−	0.358922i	0.0682921	−	0.0116388i
$952$	0.220756	+	4.09675i	0.00715475	+	0.132777i
$953$		−	2.65523i		−	0.0860115i	−0.999075	−	0.0430057i	$-0.986307\pi$
$953$		−	2.65523i		−	0.0860115i	0.999075	−	0.0430057i	$-0.0136934\pi$
$954$	−16.5276	−	14.1941i	−0.535101	−	0.459550i
$955$	−1.36676	+	0.789097i	−0.0442272	+	0.0255346i
$956$	0.155388	+	0.0897132i	0.00502560	+	0.00290153i
$957$	1.59541	+	9.36122i	0.0515722	+	0.302605i
$958$	−9.16468	−	5.29123i	−0.296098	−	0.170952i
$959$	13.9333	−	9.07763i	0.449931	−	0.293132i
$960$	0.0901323	−	0.0747545i	0.00290901	−	0.00241269i
$961$	29.3974			0.948302
$962$	16.7263	+	28.9708i	0.539277	+	0.934055i
$963$	−27.3150	−	5.13966i	−0.880212	−	0.165623i
$964$	−5.31183	−	3.06679i	−0.171083	−	0.0987746i
$965$	−0.719600	−	1.24638i	−0.0231647	−	0.0401225i
$966$	5.59291	+	24.7046i	0.179949	+	0.794856i
$967$	7.14946	−	12.3832i	0.229911	−	0.398218i	−0.727870	−	0.685715i	$-0.759490\pi$
$967$	7.14946	−	12.3832i	0.229911	−	0.398218i	0.957782	+	0.287497i	$0.0928231\pi$
$968$	−3.84424	+	2.21947i	−0.123558	+	0.0713365i
$969$	15.4812	−	2.63842i	0.497328	−	0.0847583i
$970$	0.0141804	−	0.0245613i	0.000455307	−	0.000788614i
$971$	0.130666	−	0.226320i	0.00419326	−	0.00726295i	−0.863921	−	0.503627i	$-0.831999\pi$
$971$	0.130666	−	0.226320i	0.00419326	−	0.00726295i	0.868114	+	0.496364i	$0.165332\pi$
$972$	11.6496	+	10.3579i	0.373662	+	0.332230i
$973$	14.0681	−	9.16546i	0.451004	−	0.293831i
$974$	10.3196	−	5.95804i	0.330662	−	0.190908i
$975$	−21.2127	−	25.5764i	−0.679350	−	0.819100i
$976$			0.0815124i			0.00260915i
$977$			39.1574i			1.25276i	0.779519	+	0.626378i	$0.215464\pi$
$977$			39.1574i			1.25276i	−0.779519	+	0.626378i	$0.784536\pi$
$978$	5.45563	−	14.7262i	0.174452	−	0.470893i
$979$	−39.7957	+	22.9760i	−1.27188	+	0.734318i
$980$	0.191212	−	0.432899i	0.00610805	−	0.0138285i
$981$	−3.73930	−	3.21135i	−0.119387	−	0.102530i
$982$	−8.65023	+	14.9826i	−0.276040	+	0.478115i
$983$	13.1844	−	22.8361i	0.420517	−	0.728357i	−0.575473	−	0.817821i	$-0.695182\pi$
$983$	13.1844	−	22.8361i	0.420517	−	0.728357i	0.995990	+	0.0894636i	$0.0285153\pi$
$984$	−6.22666	+	16.8074i	−0.198499	+	0.535802i
$985$	−0.752163	+	0.434262i	−0.0239659	+	0.0138367i
$986$	1.08186	−	1.87384i	0.0344534	−	0.0596751i
$987$	15.5047	+	4.81249i	0.493521	+	0.153183i
$988$	−11.2276	−	19.4468i	−0.357199	−	0.618686i
$989$	7.04481	+	4.06732i	0.224012	+	0.129333i
$990$	−0.751944	+	0.263970i	−0.0238983	+	0.00838953i
$991$	−22.9516	−	39.7534i	−0.729082	−	1.26281i	−0.957271	−	0.289191i	$-0.906614\pi$
$991$	−22.9516	−	39.7534i	−0.729082	−	1.26281i	0.228189	−	0.973617i	$-0.426720\pi$
$992$	−1.26595			−0.0401940
$993$	1.46213	+	8.57920i	0.0463993	+	0.272253i
$994$	−5.16167	+	10.1674i	−0.163718	+	0.322489i
$995$	0.219150	+	0.126526i	0.00694753	+	0.00401116i
$996$	−10.4840	+	8.69528i	−0.332198	+	0.275520i
$997$	−18.5929	−	10.7346i	−0.588844	−	0.339969i	0.175796	−	0.984427i	$-0.443750\pi$
$997$	−18.5929	−	10.7346i	−0.588844	−	0.339969i	−0.764640	+	0.644457i	$0.777083\pi$
$998$	11.1108	−	6.41484i	0.351707	−	0.203058i
$999$	−45.2554	−	0.777697i	−1.43182	−	0.0246052i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	126.2.l.a.5.2	✓	16
3.2	odd	2		378.2.l.a.341.7		16
4.3	odd	2		1008.2.ca.c.257.4		16
7.2	even	3		882.2.m.b.293.4		16
7.3	odd	6		126.2.t.a.59.7	yes	16
7.4	even	3		882.2.t.a.815.6		16
7.5	odd	6		882.2.m.a.293.1		16
7.6	odd	2		882.2.l.b.509.3		16
9.2	odd	6		126.2.t.a.47.7	yes	16
9.4	even	3		1134.2.k.a.971.6		16
9.5	odd	6		1134.2.k.b.971.3		16
9.7	even	3		378.2.t.a.89.3		16
12.11	even	2		3024.2.ca.c.2609.5		16
21.2	odd	6		2646.2.m.b.881.7		16
21.5	even	6		2646.2.m.a.881.6		16
21.11	odd	6		2646.2.t.b.2285.2		16
21.17	even	6		378.2.t.a.17.3		16
21.20	even	2		2646.2.l.a.1097.6		16
28.3	even	6		1008.2.df.c.689.2		16
36.7	odd	6		3024.2.df.c.1601.5		16
36.11	even	6		1008.2.df.c.929.2		16
63.2	odd	6		882.2.m.a.587.1		16
63.11	odd	6		882.2.l.b.227.7		16
63.16	even	3		2646.2.m.a.1763.6		16
63.20	even	6		882.2.t.a.803.6		16
63.25	even	3		2646.2.l.a.521.2		16
63.31	odd	6		1134.2.k.b.647.3		16
63.34	odd	6		2646.2.t.b.1979.2		16
63.38	even	6	inner	126.2.l.a.101.6	yes	16
63.47	even	6		882.2.m.b.587.4		16
63.52	odd	6		378.2.l.a.143.3		16
63.59	even	6		1134.2.k.a.647.6		16
63.61	odd	6		2646.2.m.b.1763.7		16
84.59	odd	6		3024.2.df.c.17.5		16
252.115	even	6		3024.2.ca.c.2033.5		16
252.227	odd	6		1008.2.ca.c.353.4		16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
126.2.l.a.5.2	✓	16	1.1	even	1	trivial
126.2.l.a.101.6	yes	16	63.38	even	6	inner
126.2.t.a.47.7	yes	16	9.2	odd	6
126.2.t.a.59.7	yes	16	7.3	odd	6
378.2.l.a.143.3		16	63.52	odd	6
378.2.l.a.341.7		16	3.2	odd	2
378.2.t.a.17.3		16	21.17	even	6
378.2.t.a.89.3		16	9.7	even	3
882.2.l.b.227.7		16	63.11	odd	6
882.2.l.b.509.3		16	7.6	odd	2
882.2.m.a.293.1		16	7.5	odd	6
882.2.m.a.587.1		16	63.2	odd	6
882.2.m.b.293.4		16	7.2	even	3
882.2.m.b.587.4		16	63.47	even	6
882.2.t.a.803.6		16	63.20	even	6
882.2.t.a.815.6		16	7.4	even	3
1008.2.ca.c.257.4		16	4.3	odd	2
1008.2.ca.c.353.4		16	252.227	odd	6
1008.2.df.c.689.2		16	28.3	even	6
1008.2.df.c.929.2		16	36.11	even	6
1134.2.k.a.647.6		16	63.59	even	6
1134.2.k.a.971.6		16	9.4	even	3
1134.2.k.b.647.3		16	63.31	odd	6
1134.2.k.b.971.3		16	9.5	odd	6
2646.2.l.a.521.2		16	63.25	even	3
2646.2.l.a.1097.6		16	21.20	even	2
2646.2.m.a.881.6		16	21.5	even	6
2646.2.m.a.1763.6		16	63.16	even	3
2646.2.m.b.881.7		16	21.2	odd	6
2646.2.m.b.1763.7		16	63.61	odd	6
2646.2.t.b.1979.2		16	63.34	odd	6
2646.2.t.b.2285.2		16	21.11	odd	6
3024.2.ca.c.2033.5		16	252.115	even	6
3024.2.ca.c.2609.5		16	12.11	even	2
3024.2.df.c.17.5		16	84.59	odd	6
3024.2.df.c.1601.5		16	36.7	odd	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:	\( N \)	\(=\)	\( 126 = 2 \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	126.l (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q-1.00000i q^{2} +(-0.290993 - 1.70743i) q^{3} -1.00000 q^{4} +(-0.0338034 - 0.0585493i) q^{5} +(-1.70743 + 0.290993i) q^{6} +(1.19767 - 2.35915i) q^{7} +1.00000i q^{8} +(-2.83065 + 0.993700i) q^{9} +O(q^{10})\)	\(q-1.00000i q^{2} +(-0.290993 - 1.70743i) q^{3} -1.00000 q^{4} +(-0.0338034 - 0.0585493i) q^{5} +(-1.70743 + 0.290993i) q^{6} +(1.19767 - 2.35915i) q^{7} +1.00000i q^{8} +(-2.83065 + 0.993700i) q^{9} +(-0.0585493 + 0.0338034i) q^{10} +(-3.40282 - 1.96462i) q^{11} +(0.290993 + 1.70743i) q^{12} +(3.32589 + 1.92020i) q^{13} +(-2.35915 - 1.19767i) q^{14} +(-0.0901323 + 0.0747545i) q^{15} +1.00000 q^{16} +(0.775337 + 1.34292i) q^{17} +(0.993700 + 2.83065i) q^{18} +(5.06375 + 2.92356i) q^{19} +(0.0338034 + 0.0585493i) q^{20} +(-4.37660 - 1.35845i) q^{21} +(-1.96462 + 3.40282i) q^{22} +(4.78687 - 2.76370i) q^{23} +(1.70743 - 0.290993i) q^{24} +(2.49771 - 4.32617i) q^{25} +(1.92020 - 3.32589i) q^{26} +(2.52037 + 4.54398i) q^{27} +(-1.19767 + 2.35915i) q^{28} +(1.20840 - 0.697671i) q^{29} +(0.0747545 + 0.0901323i) q^{30} -1.26595i q^{31} -1.00000i q^{32} +(-2.36426 + 6.38178i) q^{33} +(1.34292 - 0.775337i) q^{34} +(-0.178612 + 0.00962461i) q^{35} +(2.83065 - 0.993700i) q^{36} +(-4.35534 + 7.54368i) q^{37} +(2.92356 - 5.06375i) q^{38} +(2.31080 - 6.23749i) q^{39} +(0.0585493 - 0.0338034i) q^{40} +(-5.17415 + 8.96188i) q^{41} +(-1.35845 + 4.37660i) q^{42} +(0.735847 + 1.27452i) q^{43} +(3.40282 + 1.96462i) q^{44} +(0.153866 + 0.132142i) q^{45} +(-2.76370 - 4.78687i) q^{46} -3.54265 q^{47} +(-0.290993 - 1.70743i) q^{48} +(-4.13117 - 5.65097i) q^{49} +(-4.32617 - 2.49771i) q^{50} +(2.06733 - 1.71462i) q^{51} +(-3.32589 - 1.92020i) q^{52} +(-6.28910 + 3.63101i) q^{53} +(4.54398 - 2.52037i) q^{54} +0.265644i q^{55} +(2.35915 + 1.19767i) q^{56} +(3.51826 - 9.49673i) q^{57} +(-0.697671 - 1.20840i) q^{58} +9.40086 q^{59} +(0.0901323 - 0.0747545i) q^{60} +0.0815124i q^{61} -1.26595 q^{62} +(-1.04589 + 7.86804i) q^{63} -1.00000 q^{64} -0.259638i q^{65} +(6.38178 + 2.36426i) q^{66} -15.3451 q^{67} +(-0.775337 - 1.34292i) q^{68} +(-6.11178 - 7.36904i) q^{69} +(0.00962461 + 0.178612i) q^{70} -4.30975i q^{71} +(-0.993700 - 2.83065i) q^{72} +(6.12768 - 3.53782i) q^{73} +(7.54368 + 4.35534i) q^{74} +(-8.11345 - 3.00579i) q^{75} +(-5.06375 - 2.92356i) q^{76} +(-8.71030 + 5.67480i) q^{77} +(-6.23749 - 2.31080i) q^{78} -6.84639 q^{79} +(-0.0338034 - 0.0585493i) q^{80} +(7.02512 - 5.62563i) q^{81} +(8.96188 + 5.17415i) q^{82} +(3.93194 + 6.81032i) q^{83} +(4.37660 + 1.35845i) q^{84} +(0.0524181 - 0.0907908i) q^{85} +(1.27452 - 0.735847i) q^{86} +(-1.54286 - 1.86025i) q^{87} +(1.96462 - 3.40282i) q^{88} +(5.84745 - 10.1281i) q^{89} +(0.132142 - 0.153866i) q^{90} +(8.51336 - 5.54650i) q^{91} +(-4.78687 + 2.76370i) q^{92} +(-2.16153 + 0.368383i) q^{93} +3.54265i q^{94} -0.395305i q^{95} +(-1.70743 + 0.290993i) q^{96} +(-0.363295 + 0.209749i) q^{97} +(-5.65097 + 4.13117i) q^{98} +(11.5844 + 2.17976i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 16 q - 16 q^{4} + 2 q^{7}+O(q^{10}) \) 16 * q - 16 * q^4 + 2 * q^7	\( 16 q - 16 q^{4} + 2 q^{7} + 12 q^{11} + 6 q^{13} - 6 q^{14} - 18 q^{15} + 16 q^{16} - 18 q^{17} - 12 q^{18} - 12 q^{21} - 6 q^{23} - 8 q^{25} + 12 q^{26} + 36 q^{27} - 2 q^{28} + 6 q^{29} + 30 q^{35} - 2 q^{37} - 12 q^{39} - 6 q^{41} - 2 q^{43} - 12 q^{44} - 30 q^{45} + 6 q^{46} - 36 q^{47} - 8 q^{49} - 12 q^{50} + 6 q^{51} - 6 q^{52} - 36 q^{53} + 18 q^{54} + 6 q^{56} + 6 q^{57} + 6 q^{58} + 60 q^{59} + 18 q^{60} + 36 q^{62} + 36 q^{63} - 16 q^{64} + 24 q^{66} - 28 q^{67} + 18 q^{68} - 42 q^{69} - 18 q^{70} + 12 q^{72} + 18 q^{74} + 60 q^{75} - 42 q^{77} + 32 q^{79} - 36 q^{81} + 12 q^{84} - 12 q^{85} + 24 q^{86} - 24 q^{87} - 24 q^{89} + 18 q^{90} - 12 q^{91} + 6 q^{92} - 42 q^{93} + 6 q^{97} - 24 q^{98} + 18 q^{99}+O(q^{100}) \) 16 * q - 16 * q^4 + 2 * q^7 + 12 * q^11 + 6 * q^13 - 6 * q^14 - 18 * q^15 + 16 * q^16 - 18 * q^17 - 12 * q^18 - 12 * q^21 - 6 * q^23 - 8 * q^25 + 12 * q^26 + 36 * q^27 - 2 * q^28 + 6 * q^29 + 30 * q^35 - 2 * q^37 - 12 * q^39 - 6 * q^41 - 2 * q^43 - 12 * q^44 - 30 * q^45 + 6 * q^46 - 36 * q^47 - 8 * q^49 - 12 * q^50 + 6 * q^51 - 6 * q^52 - 36 * q^53 + 18 * q^54 + 6 * q^56 + 6 * q^57 + 6 * q^58 + 60 * q^59 + 18 * q^60 + 36 * q^62 + 36 * q^63 - 16 * q^64 + 24 * q^66 - 28 * q^67 + 18 * q^68 - 42 * q^69 - 18 * q^70 + 12 * q^72 + 18 * q^74 + 60 * q^75 - 42 * q^77 + 32 * q^79 - 36 * q^81 + 12 * q^84 - 12 * q^85 + 24 * q^86 - 24 * q^87 - 24 * q^89 + 18 * q^90 - 12 * q^91 + 6 * q^92 - 42 * q^93 + 6 * q^97 - 24 * q^98 + 18 * q^99

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