LMFDB - Embedded newform 184.3.g.a.139.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [184,3,Mod(139,184)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(184, base_ring=CyclotomicField(2))

chi = DirichletCharacter(H, H._module([1, 1, 0]))

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

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

chi := DirichletCharacter("184.139");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 184 = 2^{3} \cdot 23 $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	184.g (of order $2$, degree $1$, 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:	$5.01363686423$
Analytic rank:	$0$
Dimension:	$44$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{2}]$

Embedding invariants

Embedding label			139.7
Character	$\chi$	$=$	184.139
Dual form			184.3.g.a.139.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.75201 - 0.964609i) q^{2} -2.68155 q^{3} +(2.13906 + 3.38000i) q^{4} -5.82129i q^{5} +(4.69809 + 2.58664i) q^{6} +9.89299i q^{7} +(-0.487268 - 7.98515i) q^{8} -1.80931 q^{9} +O(q^{10})$	\(q+(-1.75201 - 0.964609i) q^{2} -2.68155 q^{3} +(2.13906 + 3.38000i) q^{4} -5.82129i q^{5} +(4.69809 + 2.58664i) q^{6} +9.89299i q^{7} +(-0.487268 - 7.98515i) q^{8} -1.80931 q^{9} +(-5.61527 + 10.1990i) q^{10} -6.62174 q^{11} +(-5.73599 - 9.06364i) q^{12} +3.58990i q^{13} +(9.54287 - 17.3326i) q^{14} +15.6101i q^{15} +(-6.84885 + 14.4601i) q^{16} +30.4419 q^{17} +(3.16992 + 1.74527i) q^{18} +30.9283 q^{19} +(19.6760 - 12.4521i) q^{20} -26.5285i q^{21} +(11.6013 + 6.38739i) q^{22} -4.79583i q^{23} +(1.30663 + 21.4125i) q^{24} -8.88747 q^{25} +(3.46285 - 6.28954i) q^{26} +28.9857 q^{27} +(-33.4383 + 21.1617i) q^{28} +12.1899i q^{29} +(15.0576 - 27.3490i) q^{30} +47.7450i q^{31} +(25.9475 - 18.7277i) q^{32} +17.7565 q^{33} +(-53.3345 - 29.3645i) q^{34} +57.5900 q^{35} +(-3.87022 - 6.11547i) q^{36} -40.7031i q^{37} +(-54.1867 - 29.8338i) q^{38} -9.62650i q^{39} +(-46.4839 + 2.83653i) q^{40} -31.4044 q^{41} +(-25.5896 + 46.4782i) q^{42} +70.1419 q^{43} +(-14.1643 - 22.3815i) q^{44} +10.5325i q^{45} +(-4.62610 + 8.40233i) q^{46} +22.2026i q^{47} +(18.3655 - 38.7753i) q^{48} -48.8713 q^{49} +(15.5709 + 8.57294i) q^{50} -81.6314 q^{51} +(-12.1339 + 7.67902i) q^{52} +53.9457i q^{53} +(-50.7831 - 27.9598i) q^{54} +38.5471i q^{55} +(78.9970 - 4.82054i) q^{56} -82.9358 q^{57} +(11.7585 - 21.3568i) q^{58} +0.611750 q^{59} +(-52.7621 + 33.3909i) q^{60} +10.5456i q^{61} +(46.0552 - 83.6495i) q^{62} -17.8995i q^{63} +(-63.5251 + 7.78181i) q^{64} +20.8979 q^{65} +(-31.1095 - 17.1281i) q^{66} -110.146 q^{67} +(65.1171 + 102.894i) q^{68} +12.8602i q^{69} +(-100.898 - 55.5518i) q^{70} +120.786i q^{71} +(0.881618 + 14.4476i) q^{72} +89.2799 q^{73} +(-39.2625 + 71.3121i) q^{74} +23.8322 q^{75} +(66.1576 + 104.538i) q^{76} -65.5089i q^{77} +(-9.28580 + 16.8657i) q^{78} -43.5141i q^{79} +(84.1763 + 39.8692i) q^{80} -61.4426 q^{81} +(55.0208 + 30.2930i) q^{82} -23.5417 q^{83} +(89.6665 - 56.7461i) q^{84} -177.211i q^{85} +(-122.889 - 67.6595i) q^{86} -32.6878i q^{87} +(3.22656 + 52.8756i) q^{88} +7.32067 q^{89} +(10.1598 - 18.4530i) q^{90} -35.5149 q^{91} +(16.2099 - 10.2586i) q^{92} -128.030i q^{93} +(21.4168 - 38.8990i) q^{94} -180.043i q^{95} +(-69.5795 + 50.2191i) q^{96} +86.3316 q^{97} +(85.6229 + 47.1417i) q^{98} +11.9808 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 44 q - 3 q^{6} + 15 q^{8} + 132 q^{9}+O(q^{10}) $ 44 * q - 3 * q^6 + 15 * q^8 + 132 * q^9	$ 44 q - 3 q^{6} + 15 q^{8} + 132 q^{9} + 26 q^{10} - 19 q^{12} - 8 q^{14} - 16 q^{16} - 8 q^{17} - 57 q^{18} + 40 q^{20} + 44 q^{22} - 88 q^{24} - 244 q^{25} + 19 q^{26} - 48 q^{27} + 6 q^{28} + 86 q^{30} + 160 q^{32} + 16 q^{33} + 18 q^{34} + 96 q^{35} + 179 q^{36} - 156 q^{38} + 130 q^{40} + 88 q^{41} + 100 q^{42} - 128 q^{43} - 158 q^{44} + 5 q^{48} - 340 q^{49} + 4 q^{50} + 160 q^{51} - 127 q^{52} + 53 q^{54} - 6 q^{56} - 176 q^{57} + 147 q^{58} + 16 q^{59} - 283 q^{62} - 405 q^{64} + 96 q^{65} - 602 q^{66} - 288 q^{67} + 72 q^{68} + 312 q^{70} - 57 q^{72} + 280 q^{73} - 198 q^{74} + 160 q^{75} + 172 q^{76} - 185 q^{78} - 90 q^{80} + 284 q^{81} - 75 q^{82} - 480 q^{83} - 254 q^{84} - 98 q^{86} + 204 q^{88} - 200 q^{89} + 488 q^{90} + 192 q^{91} + 19 q^{94} - 107 q^{96} + 184 q^{97} + 200 q^{98} + 256 q^{99}+O(q^{100}) $ 44 * q - 3 * q^6 + 15 * q^8 + 132 * q^9 + 26 * q^10 - 19 * q^12 - 8 * q^14 - 16 * q^16 - 8 * q^17 - 57 * q^18 + 40 * q^20 + 44 * q^22 - 88 * q^24 - 244 * q^25 + 19 * q^26 - 48 * q^27 + 6 * q^28 + 86 * q^30 + 160 * q^32 + 16 * q^33 + 18 * q^34 + 96 * q^35 + 179 * q^36 - 156 * q^38 + 130 * q^40 + 88 * q^41 + 100 * q^42 - 128 * q^43 - 158 * q^44 + 5 * q^48 - 340 * q^49 + 4 * q^50 + 160 * q^51 - 127 * q^52 + 53 * q^54 - 6 * q^56 - 176 * q^57 + 147 * q^58 + 16 * q^59 - 283 * q^62 - 405 * q^64 + 96 * q^65 - 602 * q^66 - 288 * q^67 + 72 * q^68 + 312 * q^70 - 57 * q^72 + 280 * q^73 - 198 * q^74 + 160 * q^75 + 172 * q^76 - 185 * q^78 - 90 * q^80 + 284 * q^81 - 75 * q^82 - 480 * q^83 - 254 * q^84 - 98 * q^86 + 204 * q^88 - 200 * q^89 + 488 * q^90 + 192 * q^91 + 19 * q^94 - 107 * q^96 + 184 * q^97 + 200 * q^98 + 256 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/184\mathbb{Z}\right)^\times$.

$n$	$47$	$93$	$97$
$\chi(n)$	$-1$	$-1$	$1$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−1.75201	−	0.964609i	−0.876004	−	0.482304i
$2$	−1.75201	−	0.964609i	−0.876004	−	0.482304i
$3$	−2.68155			−0.893849			−0.446924	−	0.894572i	$-0.647481\pi$
$3$	−2.68155			−0.893849			−0.446924	+	0.894572i	$0.647481\pi$
$4$	2.13906	+	3.38000i	0.534765	+	0.845001i
$5$		−	5.82129i		−	1.16426i	−0.813096	−	0.582129i	$-0.802220\pi$
$5$		−	5.82129i		−	1.16426i	0.813096	−	0.582129i	$-0.197780\pi$
$6$	4.69809	+	2.58664i	0.783015	+	0.431107i
$7$			9.89299i			1.41328i	0.707571	+	0.706642i	$0.249791\pi$
$7$			9.89299i			1.41328i	−0.707571	+	0.706642i	$0.750209\pi$
$8$	−0.487268	−	7.98515i	−0.0609085	−	0.998143i
$9$	−1.80931			−0.201034
$10$	−5.61527	+	10.1990i	−0.561527	+	1.01990i
$11$	−6.62174			−0.601977			−0.300988	−	0.953628i	$-0.597317\pi$
$11$	−6.62174			−0.601977			−0.300988	+	0.953628i	$0.597317\pi$
$12$	−5.73599	−	9.06364i	−0.477999	−	0.755303i
$13$			3.58990i			0.276147i	0.990422	+	0.138073i	$0.0440909\pi$
$13$			3.58990i			0.276147i	−0.990422	+	0.138073i	$0.955909\pi$
$14$	9.54287	−	17.3326i	0.681633	−	1.23804i
$15$			15.6101i			1.04067i
$16$	−6.84885	+	14.4601i	−0.428053	+	0.903754i
$17$	30.4419			1.79070			0.895351	−	0.445362i	$-0.146925\pi$
$17$	30.4419			1.79070			0.895351	+	0.445362i	$0.146925\pi$
$18$	3.16992	+	1.74527i	0.176107	+	0.0969597i
$19$	30.9283			1.62781			0.813904	−	0.581000i	$-0.197338\pi$
$19$	30.9283			1.62781			0.813904	+	0.581000i	$0.197338\pi$
$20$	19.6760	−	12.4521i	0.983800	−	0.622605i
$21$		−	26.5285i		−	1.26326i
$22$	11.6013	+	6.38739i	0.527334	+	0.290336i
$23$		−	4.79583i		−	0.208514i
$23$		−	4.79583i		−	0.208514i
$24$	1.30663	+	21.4125i	0.0544430	+	0.892189i
$25$	−8.88747			−0.355499
$26$	3.46285	−	6.28954i	0.133187	−	0.241905i
$27$	28.9857			1.07354
$28$	−33.4383	+	21.1617i	−1.19423	+	0.755775i
$29$			12.1899i			0.420342i	0.977665	+	0.210171i	$0.0674021\pi$
$29$			12.1899i			0.420342i	−0.977665	+	0.210171i	$0.932598\pi$
$30$	15.0576	−	27.3490i	0.501920	−	0.911632i
$31$			47.7450i			1.54016i	0.637947	+	0.770080i	$0.279784\pi$
$31$			47.7450i			1.54016i	−0.637947	+	0.770080i	$0.720216\pi$
$32$	25.9475	−	18.7277i	0.810860	−	0.585240i
$33$	17.7565			0.538076
$34$	−53.3345	−	29.3645i	−1.56866	−	0.863663i
$35$	57.5900			1.64543
$36$	−3.87022	−	6.11547i	−0.107506	−	0.169874i
$37$		−	40.7031i		−	1.10008i	−0.835137	−	0.550041i	$-0.814612\pi$
$37$		−	40.7031i		−	1.10008i	0.835137	−	0.550041i	$-0.185388\pi$
$38$	−54.1867	−	29.8338i	−1.42597	−	0.785099i
$39$		−	9.62650i		−	0.246833i
$40$	−46.4839	+	2.83653i	−1.16210	+	0.0709132i
$41$	−31.4044			−0.765962			−0.382981	−	0.923756i	$-0.625102\pi$
$41$	−31.4044			−0.765962			−0.382981	+	0.923756i	$0.625102\pi$
$42$	−25.5896	+	46.4782i	−0.609277	+	1.10662i
$43$	70.1419			1.63121			0.815604	−	0.578611i	$-0.196405\pi$
$43$	70.1419			1.63121			0.815604	+	0.578611i	$0.196405\pi$
$44$	−14.1643	−	22.3815i	−0.321916	−	0.508671i
$45$			10.5325i			0.234056i
$46$	−4.62610	+	8.40233i	−0.100567	+	0.182659i
$47$			22.2026i			0.472395i	0.971705	+	0.236197i	$0.0759012\pi$
$47$			22.2026i			0.472395i	−0.971705	+	0.236197i	$0.924099\pi$
$48$	18.3655	−	38.7753i	0.382615	−	0.807819i
$49$	−48.8713			−0.997373
$50$	15.5709	+	8.57294i	0.311418	+	0.171459i
$51$	−81.6314			−1.60062
$52$	−12.1339	+	7.67902i	−0.233344	+	0.147673i
$53$			53.9457i			1.01784i	0.860813	+	0.508922i	$0.169956\pi$
$53$			53.9457i			1.01784i	−0.860813	+	0.508922i	$0.830044\pi$
$54$	−50.7831	−	27.9598i	−0.940428	−	0.517775i
$55$			38.5471i			0.700857i
$56$	78.9970	−	4.82054i	1.41066	−	0.0860810i
$57$	−82.9358			−1.45501
$58$	11.7585	−	21.3568i	0.202733	−	0.368221i
$59$	0.611750			0.0103686			0.00518432	−	0.999987i	$-0.498350\pi$
$59$	0.611750			0.0103686			0.00518432	+	0.999987i	$0.498350\pi$
$60$	−52.7621	+	33.3909i	−0.879368	+	0.556515i
$61$			10.5456i			0.172879i	0.996257	+	0.0864397i	$0.0275490\pi$
$61$			10.5456i			0.172879i	−0.996257	+	0.0864397i	$0.972451\pi$
$62$	46.0552	−	83.6495i	0.742826	−	1.34919i
$63$		−	17.8995i		−	0.284119i
$64$	−63.5251	+	7.78181i	−0.992580	+	0.121591i
$65$	20.8979			0.321506
$66$	−31.1095	−	17.1281i	−0.471357	−	0.259516i
$67$	−110.146			−1.64397			−0.821984	−	0.569510i	$-0.807133\pi$
$67$	−110.146			−1.64397			−0.821984	+	0.569510i	$0.807133\pi$
$68$	65.1171	+	102.894i	0.957604	+	1.51314i
$69$			12.8602i			0.186380i
$70$	−100.898	−	55.5518i	−1.44140	−	0.793598i
$71$			120.786i			1.70122i	0.525801	+	0.850608i	$0.323766\pi$
$71$			120.786i			1.70122i	−0.525801	+	0.850608i	$0.676234\pi$
$72$	0.881618	+	14.4476i	0.0122447	+	0.200661i
$73$	89.2799			1.22301			0.611506	−	0.791240i	$-0.290564\pi$
$73$	89.2799			1.22301			0.611506	+	0.791240i	$0.290564\pi$
$74$	−39.2625	+	71.3121i	−0.530575	+	0.963677i
$75$	23.8322			0.317762
$76$	66.1576	+	104.538i	0.870494	+	1.37550i
$77$		−	65.5089i		−	0.850764i
$78$	−9.28580	+	16.8657i	−0.119049	+	0.216227i
$79$		−	43.5141i		−	0.550811i	−0.961328	−	0.275406i	$-0.911188\pi$
$79$		−	43.5141i		−	0.550811i	0.961328	−	0.275406i	$-0.0888122\pi$
$80$	84.1763	+	39.8692i	1.05220	+	0.498364i
$81$	−61.4426			−0.758551
$82$	55.0208	+	30.2930i	0.670985	+	0.369427i
$83$	−23.5417			−0.283635			−0.141818	−	0.989893i	$-0.545295\pi$
$83$	−23.5417			−0.283635			−0.141818	+	0.989893i	$0.545295\pi$
$84$	89.6665	−	56.7461i	1.06746	−	0.675549i
$85$		−	177.211i		−	2.08484i
$86$	−122.889	−	67.6595i	−1.42894	−	0.786739i
$87$		−	32.6878i		−	0.375722i
$88$	3.22656	+	52.8756i	0.0366655	+	0.600859i
$89$	7.32067			0.0822547			0.0411273	−	0.999154i	$-0.486905\pi$
$89$	7.32067			0.0822547			0.0411273	+	0.999154i	$0.486905\pi$
$90$	10.1598	−	18.4530i	0.112886	−	0.205034i
$91$	−35.5149			−0.390274
$92$	16.2099	−	10.2586i	0.176195	−	0.111506i
$93$		−	128.030i		−	1.37667i
$94$	21.4168	−	38.8990i	0.227838	−	0.413820i
$95$		−	180.043i		−	1.89519i
$96$	−69.5795	+	50.2191i	−0.724787	+	0.523116i
$97$	86.3316			0.890016			0.445008	−	0.895527i	$-0.353201\pi$
$97$	86.3316			0.890016			0.445008	+	0.895527i	$0.353201\pi$
$98$	85.6229	+	47.1417i	0.873703	+	0.481038i
$99$	11.9808			0.121018
$100$	−19.0108	−	30.0397i	−0.190108	−	0.300397i
$101$		−	10.0607i		−	0.0996104i	−0.998759	−	0.0498052i	$-0.984140\pi$
$101$		−	10.0607i		−	0.0996104i	0.998759	−	0.0498052i	$-0.0158601\pi$
$102$	143.019	+	78.7424i	1.40215	+	0.771984i
$103$		−	77.6553i		−	0.753935i	−0.926226	−	0.376967i	$-0.876967\pi$
$103$		−	77.6553i		−	0.753935i	0.926226	−	0.376967i	$-0.123033\pi$
$104$	28.6659	−	1.74924i	0.275634	−	0.0168197i
$105$	−154.430			−1.47077
$106$	52.0365	−	94.5133i	0.490910	−	0.891635i
$107$	33.3659			0.311831			0.155915	−	0.987770i	$-0.450167\pi$
$107$	33.3659			0.311831			0.155915	+	0.987770i	$0.450167\pi$
$108$	62.0021	+	97.9716i	0.574093	+	0.907145i
$109$			156.517i			1.43594i	0.696076	+	0.717968i	$0.254928\pi$
$109$			156.517i			1.43594i	−0.696076	+	0.717968i	$0.745072\pi$
$110$	37.1829	−	67.5348i	0.338026	−	0.613953i
$111$			109.147i			0.983308i
$112$	−143.053	−	67.7556i	−1.27726	−	0.604961i
$113$	163.295			1.44509			0.722544	−	0.691325i	$-0.242972\pi$
$113$	163.295			1.44509			0.722544	+	0.691325i	$0.242972\pi$
$114$	145.304	+	80.0006i	1.27460	+	0.701760i
$115$	−27.9179			−0.242765
$116$	−41.2020	+	26.0750i	−0.355189	+	0.224784i
$117$		−	6.49524i		−	0.0555149i
$118$	−1.07179	−	0.590099i	−0.00908297	−	0.00500084i
$119$			301.162i			2.53077i
$120$	124.649	−	7.60628i	1.03874	−	0.0633857i
$121$	−77.1525			−0.637624
$122$	10.1724	−	18.4760i	0.0833805	−	0.151443i
$123$	84.2124			0.684654
$124$	−161.378	+	102.129i	−1.30144	+	0.823624i
$125$		−	93.7958i		−	0.750366i
$126$	−17.2660	+	31.3600i	−0.137032	+	0.248889i
$127$		−	41.1850i		−	0.324292i	−0.986767	−	0.162146i	$-0.948159\pi$
$127$		−	41.1850i		−	0.324292i	0.986767	−	0.162146i	$-0.0518415\pi$
$128$	118.803	+	47.6431i	0.928148	+	0.372212i
$129$	−188.089			−1.45805
$130$	−36.6133	−	20.1583i	−0.281640	−	0.155064i
$131$	−42.5817			−0.325051			−0.162526	−	0.986704i	$-0.551964\pi$
$131$	−42.5817			−0.325051			−0.162526	+	0.986704i	$0.551964\pi$
$132$	37.9822	+	60.0171i	0.287744	+	0.454675i
$133$			305.974i			2.30056i
$134$	192.976	+	106.248i	1.44012	+	0.792893i
$135$		−	168.734i		−	1.24988i
$136$	−14.8334	−	243.083i	−0.109069	−	1.78738i
$137$	−23.2365			−0.169609			−0.0848046	−	0.996398i	$-0.527027\pi$
$137$	−23.2365			−0.169609			−0.0848046	+	0.996398i	$0.527027\pi$
$138$	12.4051	−	22.5312i	0.0898921	−	0.163270i
$139$	−111.827			−0.804512			−0.402256	−	0.915527i	$-0.631774\pi$
$139$	−111.827			−0.804512			−0.402256	+	0.915527i	$0.631774\pi$
$140$	123.189	+	194.654i	0.879918	+	1.39039i
$141$		−	59.5372i		−	0.422250i
$142$	116.512	−	211.618i	0.820504	−	1.49027i
$143$		−	23.7714i		−	0.166234i
$144$	12.3917	−	26.1627i	0.0860533	−	0.181685i
$145$	70.9611			0.489387
$146$	−156.419	−	86.1202i	−1.07136	−	0.589864i
$147$	131.051			0.891501
$148$	137.577	−	87.0663i	0.929571	−	0.588286i
$149$		−	219.579i		−	1.47369i	−0.676064	−	0.736843i	$-0.736316\pi$
$149$		−	219.579i		−	1.47369i	0.676064	−	0.736843i	$-0.263684\pi$
$150$	−41.7542	−	22.9887i	−0.278361	−	0.153258i
$151$			133.093i			0.881412i	0.897652	+	0.440706i	$0.145272\pi$
$151$			133.093i			0.881412i	−0.897652	+	0.440706i	$0.854728\pi$
$152$	−15.0704	−	246.967i	−0.0991473	−	1.62479i
$153$	−55.0788			−0.359992
$154$	−63.1904	+	114.772i	−0.410327	+	0.745273i
$155$	277.937			1.79314
$156$	32.5376	−	20.5917i	0.208574	−	0.131998i
$157$			122.190i			0.778283i	0.921178	+	0.389141i	$0.127228\pi$
$157$			122.190i			0.778283i	−0.921178	+	0.389141i	$0.872772\pi$
$158$	−41.9741	+	76.2370i	−0.265659	+	0.482513i
$159$		−	144.658i		−	0.909798i
$160$	−109.019	−	151.048i	−0.681371	−	0.944051i
$161$	47.4451			0.294690
$162$	107.648	+	59.2681i	0.664493	+	0.365852i
$163$	8.99765			0.0552003			0.0276002	−	0.999619i	$-0.491213\pi$
$163$	8.99765			0.0552003			0.0276002	+	0.999619i	$0.491213\pi$
$164$	−67.1760	−	106.147i	−0.409610	−	0.647238i
$165$		−	103.366i		−	0.626460i
$166$	41.2453	+	22.7085i	0.248465	+	0.136798i
$167$			76.3383i			0.457115i	0.973530	+	0.228558i	$0.0734010\pi$
$167$			76.3383i			0.457115i	−0.973530	+	0.228558i	$0.926599\pi$
$168$	−211.834	+	12.9265i	−1.26092	+	0.0769434i
$169$	156.113			0.923743
$170$	−170.940	+	310.476i	−1.00553	+	1.82633i
$171$	−55.9589			−0.327245
$172$	150.038	+	237.080i	0.872313	+	1.37837i
$173$		−	17.1179i		−	0.0989474i	−0.998775	−	0.0494737i	$-0.984246\pi$
$173$		−	17.1179i		−	0.0989474i	0.998775	−	0.0494737i	$-0.0157544\pi$
$174$	−31.5310	+	57.2693i	−0.181212	+	0.329134i
$175$		−	87.9237i		−	0.502421i
$176$	45.3513	−	95.7508i	0.257678	−	0.544039i
$177$	−1.64044			−0.00926800
$178$	−12.8259	−	7.06158i	−0.0720554	−	0.0396718i
$179$	−134.176			−0.749587			−0.374794	−	0.927108i	$-0.622286\pi$
$179$	−134.176			−0.749587			−0.374794	+	0.927108i	$0.622286\pi$
$180$	−35.5999	+	22.5297i	−0.197777	+	0.125165i
$181$		−	148.616i		−	0.821084i	−0.911842	−	0.410542i	$-0.865340\pi$
$181$		−	148.616i		−	0.821084i	0.911842	−	0.410542i	$-0.134660\pi$
$182$	62.2224	+	34.2580i	0.341881	+	0.188231i
$183$		−	28.2786i		−	0.154528i
$184$	−38.2954	+	2.33685i	−0.208127	+	0.0127003i
$185$	−236.945			−1.28078
$186$	−123.499	+	224.310i	−0.663974	+	1.20597i
$187$	−201.579			−1.07796
$188$	−75.0447	+	47.4926i	−0.399174	+	0.252620i
$189$			286.755i			1.51722i
$190$	−173.671	+	315.437i	−0.914058	+	1.66019i
$191$		−	158.705i		−	0.830915i	−0.909613	−	0.415458i	$-0.863621\pi$
$191$		−	158.705i		−	0.830915i	0.909613	−	0.415458i	$-0.136379\pi$
$192$	170.346	−	20.8673i	0.887217	−	0.108684i
$193$	144.529			0.748857			0.374428	−	0.927256i	$-0.377839\pi$
$193$	144.529			0.748857			0.374428	+	0.927256i	$0.377839\pi$
$194$	−151.254	−	83.2762i	−0.779658	−	0.429259i
$195$	−56.0387			−0.287378
$196$	−104.539	−	165.185i	−0.533360	−	0.842781i
$197$			69.8122i			0.354376i	0.984177	+	0.177188i	$0.0567001\pi$
$197$			69.8122i			0.354376i	−0.984177	+	0.177188i	$0.943300\pi$
$198$	−20.9904	−	11.5568i	−0.106012	−	0.0583675i
$199$			221.104i			1.11108i	0.831491	+	0.555538i	$0.187488\pi$
$199$			221.104i			1.11108i	−0.831491	+	0.555538i	$0.812512\pi$
$200$	4.33058	+	70.9678i	0.0216529	+	0.354839i
$201$	295.361			1.46946
$202$	−9.70459	+	17.6263i	−0.0480425	+	0.0872591i
$203$	−120.595			−0.594063
$204$	−174.615	−	275.915i	−0.855953	−	1.35252i
$205$			182.814i			0.891778i
$206$	−74.9070	+	136.053i	−0.363626	+	0.660450i
$207$			8.67714i			0.0419185i
$208$	−51.9102	−	24.5867i	−0.249568	−	0.118205i
$209$	−204.800			−0.979902
$210$	270.563	+	148.965i	1.28840	+	0.709356i
$211$	61.1501			0.289811			0.144905	−	0.989446i	$-0.453712\pi$
$211$	61.1501			0.289811			0.144905	+	0.989446i	$0.453712\pi$
$212$	−182.337	+	115.393i	−0.860079	+	0.544307i
$213$		−	323.894i		−	1.52063i
$214$	−58.4573	−	32.1850i	−0.273165	−	0.150397i
$215$		−	408.317i		−	1.89915i
$216$	−14.1238	−	231.455i	−0.0653879	−	1.07155i
$217$	−472.340			−2.17668
$218$	150.978	−	274.219i	0.692558	−	1.25789i
$219$	−239.408			−1.09319
$220$	−130.289	+	82.4546i	−0.592225	+	0.374794i
$221$			109.284i			0.494496i
$222$	105.284	−	191.227i	0.474254	−	0.861381i
$223$		−	77.1161i		−	0.345812i	−0.984938	−	0.172906i	$-0.944684\pi$
$223$		−	77.1161i		−	0.345812i	0.984938	−	0.172906i	$-0.0553157\pi$
$224$	185.273	+	256.699i	0.827110	+	1.14598i
$225$	16.0802			0.0714675
$226$	−286.094	−	157.516i	−1.26590	−	0.696973i
$227$	154.098			0.678845			0.339422	−	0.940634i	$-0.389768\pi$
$227$	154.098			0.678845			0.339422	+	0.940634i	$0.389768\pi$
$228$	−177.405	−	280.323i	−0.778090	−	1.22949i
$229$			246.803i			1.07774i	0.842388	+	0.538871i	$0.181149\pi$
$229$			246.803i			1.07774i	−0.842388	+	0.538871i	$0.818851\pi$
$230$	48.9125	+	26.9299i	0.212663	+	0.117087i
$231$			175.665i			0.760455i
$232$	97.3383	−	5.93975i	0.419561	−	0.0256024i
$233$	378.862			1.62602			0.813009	−	0.582252i	$-0.197828\pi$
$233$	378.862			1.62602			0.813009	+	0.582252i	$0.197828\pi$
$234$	−6.26537	+	11.3797i	−0.0267751	+	0.0486313i
$235$	129.248			0.549990
$236$	1.30857	+	2.06772i	0.00554479	+	0.00876151i
$237$			116.685i			0.492342i
$238$	290.503	−	527.638i	1.22060	−	2.21696i
$239$		−	118.684i		−	0.496584i	−0.968685	−	0.248292i	$-0.920131\pi$
$239$		−	118.684i		−	0.496584i	0.968685	−	0.248292i	$-0.0798692\pi$
$240$	−225.723	−	106.911i	−0.940511	−	0.445462i
$241$	301.069			1.24925			0.624623	−	0.780926i	$-0.285252\pi$
$241$	301.069			1.24925			0.624623	+	0.780926i	$0.285252\pi$
$242$	135.172	+	74.4220i	0.558561	+	0.307529i
$243$	−96.1097			−0.395513
$244$	−35.6443	+	22.5578i	−0.146083	+	0.0924498i
$245$			284.494i			1.16120i
$246$	−147.541	−	81.2321i	−0.599759	−	0.330212i
$247$			111.030i			0.449513i
$248$	381.250	−	23.2646i	1.53730	−	0.0938088i
$249$	63.1282			0.253527
$250$	−90.4762	+	164.331i	−0.361905	+	0.657323i
$251$	−195.686			−0.779626			−0.389813	−	0.920894i	$-0.627460\pi$
$251$	−195.686			−0.779626			−0.389813	+	0.920894i	$0.627460\pi$
$252$	60.5003	−	38.2880i	0.240080	−	0.151937i
$253$			31.7568i			0.125521i
$254$	−39.7274	+	72.1565i	−0.156407	+	0.284081i
$255$			475.201i			1.86353i
$256$	−162.187	−	198.069i	−0.633541	−	0.773709i
$257$	−269.964			−1.05044			−0.525221	−	0.850966i	$-0.676018\pi$
$257$	−269.964			−1.05044			−0.525221	+	0.850966i	$0.676018\pi$
$258$	329.533	+	181.432i	1.27726	+	0.703226i
$259$	402.675			1.55473
$260$	44.7018	+	70.6350i	0.171930	+	0.271673i
$261$		−	22.0553i		−	0.0845031i
$262$	74.6035	+	41.0747i	0.284746	+	0.156774i
$263$		−	255.115i		−	0.970020i	−0.874509	−	0.485010i	$-0.838816\pi$
$263$		−	255.115i		−	0.970020i	0.874509	−	0.485010i	$-0.161184\pi$
$264$	−8.65218	−	141.788i	−0.0327734	−	0.537077i
$265$	314.034			1.18503
$266$	295.145	−	536.068i	1.10957	−	2.01530i
$267$	−19.6307			−0.0735232
$268$	−235.609	−	372.293i	−0.879137	−	1.38915i
$269$		−	23.4786i		−	0.0872811i	−0.999047	−	0.0436405i	$-0.986104\pi$
$269$		−	23.4786i		−	0.0872811i	0.999047	−	0.0436405i	$-0.0138956\pi$
$270$	−162.762	+	295.623i	−0.602824	+	1.09490i
$271$		−	319.924i		−	1.18053i	−0.807210	−	0.590265i	$-0.799023\pi$
$271$		−	319.924i		−	1.18053i	0.807210	−	0.590265i	$-0.200977\pi$
$272$	−208.492	+	440.192i	−0.766515	+	1.61835i
$273$	95.2349			0.348846
$274$	40.7105	+	22.4141i	0.148578	+	0.0818033i
$275$	58.8506			0.214002
$276$	−43.4677	+	27.5088i	−0.157492	+	0.0996697i
$277$		−	399.173i		−	1.44106i	−0.693424	−	0.720529i	$-0.743899\pi$
$277$		−	399.173i		−	1.44106i	0.693424	−	0.720529i	$-0.256101\pi$
$278$	195.922	+	107.869i	0.704755	+	0.388020i
$279$		−	86.3853i		−	0.309625i
$280$	−28.0618	−	459.865i	−0.100221	−	1.64237i
$281$	247.717			0.881557			0.440778	−	0.897616i	$-0.354703\pi$
$281$	247.717			0.881557			0.440778	+	0.897616i	$0.354703\pi$
$282$	−57.4301	+	104.310i	−0.203653	+	0.369892i
$283$	−189.081			−0.668130			−0.334065	−	0.942550i	$-0.608420\pi$
$283$	−189.081			−0.668130			−0.334065	+	0.942550i	$0.608420\pi$
$284$	−408.258	+	258.369i	−1.43753	+	0.909750i
$285$			482.794i			1.69401i
$286$	−22.9301	+	41.6477i	−0.0801753	+	0.145621i
$287$		−	310.684i		−	1.08252i
$288$	−46.9471	+	33.8841i	−0.163011	+	0.117653i
$289$	637.711			2.20661
$290$	−124.324	−	68.4497i	−0.428705	−	0.236033i
$291$	−231.502			−0.795540
$292$	190.975	+	301.766i	0.654024	+	1.03345i
$293$			41.3099i			0.140989i	0.997512	+	0.0704947i	$0.0224578\pi$
$293$			41.3099i			0.140989i	−0.997512	+	0.0704947i	$0.977542\pi$
$294$	−229.602	−	126.413i	−0.780958	−	0.429975i
$295$		−	3.56118i		−	0.0120718i
$296$	−325.020	+	19.8333i	−1.09804	+	0.0670044i
$297$	−191.936			−0.646248
$298$	−211.808	+	384.705i	−0.710765	+	1.29095i
$299$	17.2166			0.0575805
$300$	50.9785	+	80.5528i	0.169928	+	0.268509i
$301$			693.914i			2.30536i
$302$	128.383	−	233.180i	0.425109	−	0.772120i
$303$			26.9781i			0.0890367i
$304$	−211.823	+	447.226i	−0.696788	+	1.47114i
$305$	61.3893			0.201276
$306$	96.4985	+	53.1295i	0.315355	+	0.173626i
$307$	−14.2003			−0.0462550			−0.0231275	−	0.999733i	$-0.507362\pi$
$307$	−14.2003			−0.0462550			−0.0231275	+	0.999733i	$0.507362\pi$
$308$	221.420	−	140.127i	0.718897	−	0.454959i
$309$			208.236i			0.673904i
$310$	−486.949	−	268.101i	−1.57080	−	0.864842i
$311$		−	143.262i		−	0.460651i	−0.973114	−	0.230325i	$-0.926021\pi$
$311$		−	143.262i		−	0.460651i	0.973114	−	0.230325i	$-0.0739791\pi$
$312$	−76.8690	+	4.69068i	−0.246375	+	0.0150342i
$313$	506.132			1.61704			0.808518	−	0.588472i	$-0.200270\pi$
$313$	506.132			1.61704			0.808518	+	0.588472i	$0.200270\pi$
$314$	117.866	−	214.078i	0.375369	−	0.681779i
$315$	−104.198			−0.330788
$316$	147.078	−	93.0793i	0.465436	−	0.294555i
$317$			397.899i			1.25520i	0.778536	+	0.627601i	$0.215963\pi$
$317$			397.899i			1.25520i	−0.778536	+	0.627601i	$0.784037\pi$
$318$	−139.538	+	253.442i	−0.438800	+	0.796987i
$319$		−	80.7185i		−	0.253036i
$320$	45.3002	+	369.799i	0.141563	+	1.15562i
$321$	−89.4722			−0.278730
$322$	−83.1242	−	45.7660i	−0.258150	−	0.142130i
$323$	941.518			2.91492
$324$	−131.429	−	207.676i	−0.405646	−	0.640976i
$325$		−	31.9052i		−	0.0981698i
$326$	−15.7640	−	8.67922i	−0.0483557	−	0.0266234i
$327$		−	419.708i		−	1.28351i
$328$	15.3024	+	250.769i	0.0466536	+	0.764540i
$329$	−219.650			−0.667628
$330$	−99.7076	+	181.098i	−0.302144	+	0.548781i
$331$	−124.468			−0.376037			−0.188018	−	0.982166i	$-0.560206\pi$
$331$	−124.468			−0.376037			−0.188018	+	0.982166i	$0.560206\pi$
$332$	−50.3571	−	79.5711i	−0.151678	−	0.239672i
$333$			73.6444i			0.221154i
$334$	73.6366	−	133.745i	0.220469	−	0.400435i
$335$			641.192i			1.91400i
$336$	383.604	+	181.690i	1.14168	+	0.540743i
$337$	−480.788			−1.42667			−0.713335	−	0.700823i	$-0.752816\pi$
$337$	−480.788			−1.42667			−0.713335	+	0.700823i	$0.752816\pi$
$338$	−273.510	−	150.588i	−0.809202	−	0.445525i
$339$	−437.883			−1.29169
$340$	598.975	−	379.066i	1.76169	−	1.11490i
$341$		−	316.155i		−	0.927140i
$342$	98.0404	+	53.9785i	0.286668	+	0.157832i
$343$			1.27323i			0.00371203i
$344$	−34.1779	−	560.094i	−0.0993544	−	1.62818i
$345$	74.8633			0.216995
$346$	−16.5121	+	29.9907i	−0.0477228	+	0.0866783i
$347$	−246.836			−0.711343			−0.355672	−	0.934611i	$-0.615748\pi$
$347$	−246.836			−0.711343			−0.355672	+	0.934611i	$0.615748\pi$
$348$	110.485	−	69.9212i	0.317485	−	0.200923i
$349$		−	412.101i		−	1.18081i	−0.807109	−	0.590403i	$-0.798969\pi$
$349$		−	412.101i		−	1.18081i	0.807109	−	0.590403i	$-0.201031\pi$
$350$	−84.8120	+	154.043i	−0.242320	+	0.440123i
$351$			104.056i			0.296455i
$352$	−171.818	+	124.010i	−0.488119	+	0.352301i
$353$	−614.680			−1.74130			−0.870652	−	0.491900i	$-0.836303\pi$
$353$	−614.680			−1.74130			−0.870652	+	0.491900i	$0.836303\pi$
$354$	2.87405	+	1.58238i	0.00811880	+	0.00447000i
$355$	703.133			1.98066
$356$	15.6593	+	24.7439i	0.0439869	+	0.0695053i
$357$		−	807.579i		−	2.26213i
$358$	235.078	+	129.427i	0.656641	+	0.361529i
$359$			631.559i			1.75922i	0.475698	+	0.879609i	$0.342196\pi$
$359$			631.559i			1.75922i	−0.475698	+	0.879609i	$0.657804\pi$
$360$	84.1037	−	5.13216i	0.233621	−	0.0142560i
$361$	595.562			1.64976
$362$	−143.356	+	260.377i	−0.396012	+	0.719272i
$363$	206.888			0.569940
$364$	−75.9685	−	120.040i	−0.208705	−	0.329782i
$365$		−	519.725i		−	1.42390i
$366$	−27.2778	+	49.5444i	−0.0745295	+	0.135367i
$367$		−	674.284i		−	1.83729i	−0.395087	−	0.918644i	$-0.629286\pi$
$367$		−	674.284i		−	1.83729i	0.395087	−	0.918644i	$-0.370714\pi$
$368$	69.3480	+	32.8459i	0.188446	+	0.0892552i
$369$	56.8203			0.153985
$370$	415.129	+	228.559i	1.12197	+	0.617726i
$371$	−533.684			−1.43850
$372$	432.743	−	273.865i	1.16329	−	0.736195i
$373$			660.303i			1.77025i	0.465355	+	0.885124i	$0.345927\pi$
$373$			660.303i			1.77025i	−0.465355	+	0.885124i	$0.654073\pi$
$374$	353.167	+	194.444i	0.944297	+	0.519905i
$375$			251.518i			0.670714i
$376$	177.291	−	10.8186i	0.471518	−	0.0287728i
$377$	−43.7606			−0.116076
$378$	276.606	−	502.397i	0.731763	−	1.32909i
$379$	333.991			0.881243			0.440621	−	0.897693i	$-0.354758\pi$
$379$	333.991			0.881243			0.440621	+	0.897693i	$0.354758\pi$
$380$	608.546	−	385.123i	1.60144	−	1.01348i
$381$			110.440i			0.289868i
$382$	−153.088	+	278.052i	−0.400754	+	0.727885i
$383$			606.133i			1.58259i	0.611433	+	0.791296i	$0.290594\pi$
$383$			606.133i			1.58259i	−0.611433	+	0.791296i	$0.709406\pi$
$384$	−318.576	−	127.757i	−0.829624	−	0.332701i
$385$	−381.346			−0.990510
$386$	−253.217	−	139.414i	−0.656001	−	0.361177i
$387$	−126.908			−0.327929
$388$	184.668	+	291.801i	0.475950	+	0.752065i
$389$		−	703.583i		−	1.80870i	−0.426796	−	0.904348i	$-0.640358\pi$
$389$		−	703.583i		−	1.80870i	0.426796	−	0.904348i	$-0.359642\pi$
$390$	98.1802	+	54.0554i	0.251744	+	0.138604i
$391$		−	145.994i		−	0.373387i
$392$	23.8134	+	390.245i	0.0607485	+	0.995522i
$393$	114.185			0.290547
$394$	67.3414	−	122.311i	0.170917	−	0.310435i
$395$	−253.308			−0.641287
$396$	25.6276	+	40.4951i	0.0647162	+	0.102260i
$397$		−	331.481i		−	0.834965i	−0.908685	−	0.417483i	$-0.862912\pi$
$397$		−	331.481i		−	0.834965i	0.908685	−	0.417483i	$-0.137088\pi$
$398$	213.279	−	387.376i	0.535877	−	0.973307i
$399$		−	820.483i		−	2.05635i
$400$	60.8689	−	128.513i	0.152172	−	0.321284i
$401$	−171.314			−0.427218			−0.213609	−	0.976919i	$-0.568522\pi$
$401$	−171.314			−0.427218			−0.213609	+	0.976919i	$0.568522\pi$
$402$	−517.475	−	284.908i	−1.28725	−	0.708727i
$403$	−171.400			−0.425310
$404$	34.0050	−	21.5203i	0.0841709	−	0.0532682i
$405$			357.676i			0.883150i
$406$	211.283	+	116.327i	0.520401	+	0.286519i
$407$			269.525i			0.662224i
$408$	39.7764	+	651.839i	0.0974911	+	1.59764i
$409$	−593.101			−1.45013			−0.725063	−	0.688683i	$-0.758189\pi$
$409$	−593.101			−1.45013			−0.725063	+	0.688683i	$0.758189\pi$
$410$	176.344	−	320.292i	0.430108	−	0.781201i
$411$	62.3097			0.151605
$412$	262.475	−	166.109i	0.637076	−	0.403178i
$413$			6.05204i			0.0146538i
$414$	8.37004	−	15.2024i	0.0202175	−	0.0367208i
$415$			137.043i			0.330225i
$416$	67.2306	+	93.1492i	0.161612	+	0.223916i
$417$	299.870			0.719112
$418$	358.810	+	197.551i	0.858398	+	0.472611i
$419$	−51.3017			−0.122438			−0.0612192	−	0.998124i	$-0.519499\pi$
$419$	−51.3017			−0.122438			−0.0612192	+	0.998124i	$0.519499\pi$
$420$	−330.336	−	521.975i	−0.786514	−	1.24280i
$421$			256.352i			0.608911i	0.952527	+	0.304456i	$0.0984745\pi$
$421$			256.352i			0.608911i	−0.952527	+	0.304456i	$0.901526\pi$
$422$	−107.135	−	58.9859i	−0.253875	−	0.139777i
$423$		−	40.1713i		−	0.0949675i
$424$	430.764	−	26.2860i	1.01595	−	0.0619953i
$425$	−270.552			−0.636593
$426$	−312.431	+	567.465i	−0.733406	+	1.33208i
$427$	−104.328			−0.244328
$428$	71.3717	+	112.777i	0.166756	+	0.263497i
$429$			63.7442i			0.148588i
$430$	−393.866	+	715.374i	−0.915968	+	1.66366i
$431$		−	540.299i		−	1.25360i	−0.779182	−	0.626798i	$-0.784365\pi$
$431$		−	540.299i		−	1.25360i	0.779182	−	0.626798i	$-0.215635\pi$
$432$	−198.518	+	419.134i	−0.459533	+	0.970219i
$433$	−193.753			−0.447466			−0.223733	−	0.974650i	$-0.571824\pi$
$433$	−193.753			−0.447466			−0.223733	+	0.974650i	$0.571824\pi$
$434$	827.544	+	455.624i	1.90678	+	1.04982i
$435$	−190.285			−0.437438
$436$	−529.028	+	334.799i	−1.21337	+	0.767888i
$437$		−	148.327i		−	0.339421i
$438$	419.445	+	230.935i	0.957637	+	0.527250i
$439$			292.776i			0.666916i	0.942765	+	0.333458i	$0.108216\pi$
$439$			292.776i			0.666916i	−0.942765	+	0.333458i	$0.891784\pi$
$440$	307.804	−	18.7828i	0.699555	−	0.0426881i
$441$	88.4233			0.200506
$442$	105.416	−	191.466i	0.238498	−	0.433180i
$443$	63.9694			0.144400			0.0722002	−	0.997390i	$-0.476998\pi$
$443$	63.9694			0.144400			0.0722002	+	0.997390i	$0.476998\pi$
$444$	−368.918	+	233.472i	−0.830896	+	0.525839i
$445$		−	42.6158i		−	0.0957657i
$446$	−74.3869	+	135.108i	−0.166787	+	0.302933i
$447$			588.812i			1.31725i
$448$	−76.9854	−	628.454i	−0.171842	−	1.40280i
$449$	−420.907			−0.937433			−0.468716	−	0.883349i	$-0.655283\pi$
$449$	−420.907			−0.937433			−0.468716	+	0.883349i	$0.655283\pi$
$450$	−28.1726	−	15.5111i	−0.0626058	−	0.0344691i
$451$	207.952			0.461091
$452$	349.298	+	551.938i	0.772783	+	1.22110i
$453$		−	356.895i		−	0.787849i
$454$	−269.980	−	148.644i	−0.594671	−	0.327410i
$455$			206.743i			0.454380i
$456$	40.4119	+	662.254i	0.0886227	+	1.45231i
$457$	−355.239			−0.777329			−0.388664	−	0.921379i	$-0.627063\pi$
$457$	−355.239			−0.777329			−0.388664	+	0.921379i	$0.627063\pi$
$458$	238.068	−	432.400i	0.519800	−	0.944106i
$459$	882.379			1.92239
$460$	−59.7182	−	94.3628i	−0.129822	−	0.205136i
$461$		−	159.661i		−	0.346335i	−0.984892	−	0.173168i	$-0.944600\pi$
$461$		−	159.661i		−	0.346335i	0.984892	−	0.173168i	$-0.0554002\pi$
$462$	169.448	−	307.766i	0.366771	−	0.666161i
$463$		−	213.425i		−	0.460961i	−0.973077	−	0.230481i	$-0.925970\pi$
$463$		−	213.425i		−	0.460961i	0.973077	−	0.230481i	$-0.0740298\pi$
$464$	−176.267	−	83.4868i	−0.379886	−	0.179929i
$465$	−745.302			−1.60280
$466$	−663.769	−	365.454i	−1.42440	−	0.784235i
$467$	−774.059			−1.65751			−0.828757	−	0.559608i	$-0.810952\pi$
$467$	−774.059			−1.65751			−0.828757	+	0.559608i	$0.810952\pi$
$468$	21.9539	−	13.8937i	0.0469101	−	0.0296874i
$469$		−	1089.67i		−	2.32339i
$470$	−226.443	−	124.673i	−0.481793	−	0.265263i
$471$		−	327.659i		−	0.695667i
$472$	−0.298086	−	4.88491i	−0.000631538	−	0.0103494i
$473$	−464.462			−0.981949
$474$	112.555	−	204.433i	0.237459	−	0.431293i
$475$	−274.875			−0.578684
$476$	−1017.93	+	644.203i	−2.13850	+	1.35337i
$477$		−	97.6044i		−	0.204621i
$478$	−114.483	+	207.934i	−0.239505	+	0.435009i
$479$			455.636i			0.951224i	0.879655	+	0.475612i	$0.157773\pi$
$479$			455.636i			0.951224i	−0.879655	+	0.475612i	$0.842227\pi$
$480$	292.340	+	405.043i	0.609042	+	0.843839i
$481$	146.120			0.303784
$482$	−527.474	−	290.413i	−1.09434	−	0.602517i
$483$	−127.226			−0.263409
$484$	−165.034	−	260.776i	−0.340979	−	0.538793i
$485$		−	502.562i		−	1.03621i
$486$	168.385	+	92.7083i	0.346471	+	0.190758i
$487$		−	118.418i		−	0.243157i	−0.992582	−	0.121579i	$-0.961204\pi$
$487$		−	118.418i		−	0.243157i	0.992582	−	0.121579i	$-0.0387957\pi$
$488$	84.2085	−	5.13855i	0.172558	−	0.0105298i
$489$	−24.1276			−0.0493408
$490$	274.426	−	498.436i	0.560052	−	1.01722i
$491$	621.373			1.26553			0.632763	−	0.774346i	$-0.281921\pi$
$491$	621.373			1.26553			0.632763	+	0.774346i	$0.281921\pi$
$492$	180.135	+	284.638i	0.366129	+	0.578533i
$493$			371.084i			0.752707i
$494$	107.100	−	194.525i	0.216802	−	0.393775i
$495$		−	69.7436i		−	0.140896i
$496$	−690.395	−	326.998i	−1.39193	−	0.659270i
$497$	−1194.94			−2.40430
$498$	−110.601	−	60.8940i	−0.222090	−	0.122277i
$499$	−26.2624			−0.0526300			−0.0263150	−	0.999654i	$-0.508377\pi$
$499$	−26.2624			−0.0526300			−0.0263150	+	0.999654i	$0.508377\pi$
$500$	317.030	−	200.635i	0.634060	−	0.401269i
$501$		−	204.705i		−	0.408592i
$502$	342.844	+	188.761i	0.682956	+	0.376017i
$503$		−	272.529i		−	0.541808i	−0.962606	−	0.270904i	$-0.912677\pi$
$503$		−	272.529i		−	0.541808i	0.962606	−	0.270904i	$-0.0873225\pi$
$504$	−142.930	+	8.72184i	−0.283591	+	0.0173052i
$505$	−58.5660			−0.115972
$506$	30.6329	−	55.6381i	0.0605392	−	0.109957i
$507$	−418.623			−0.825687
$508$	139.206	−	88.0973i	0.274027	−	0.173420i
$509$		−	406.140i		−	0.797918i	−0.916969	−	0.398959i	$-0.869372\pi$
$509$		−	406.140i		−	0.797918i	0.916969	−	0.398959i	$-0.130628\pi$
$510$	458.383	−	832.555i	0.898790	−	1.63246i
$511$			883.246i			1.72847i
$512$	93.0926	+	503.466i	0.181822	+	0.983332i
$513$	896.479			1.74752
$514$	472.979	+	260.409i	0.920192	+	0.506633i
$515$	−452.054			−0.877776
$516$	−402.333	−	635.741i	−0.779716	−	1.23206i
$517$		−	147.020i		−	0.284371i
$518$	−705.490	−	388.424i	−1.36195	−	0.749853i
$519$			45.9024i			0.0884440i
$520$	−10.1829	−	166.873i	−0.0195824	−	0.320909i
$521$	−25.1954			−0.0483596			−0.0241798	−	0.999708i	$-0.507697\pi$
$521$	−25.1954			−0.0483596			−0.0241798	+	0.999708i	$0.507697\pi$
$522$	−21.2747	+	38.6411i	−0.0407562	+	0.0740250i
$523$	−229.774			−0.439338			−0.219669	−	0.975574i	$-0.570498\pi$
$523$	−229.774			−0.439338			−0.219669	+	0.975574i	$0.570498\pi$
$524$	−91.0849	−	143.926i	−0.173826	−	0.274669i
$525$			235.772i			0.449089i
$526$	−246.086	+	446.964i	−0.467845	+	0.849741i
$527$			1453.45i			2.75797i
$528$	−121.612	+	256.760i	−0.230325	+	0.486288i
$529$	−23.0000			−0.0434783
$530$	−550.190	−	302.920i	−1.03809	−	0.571547i
$531$	−1.10684			−0.00208445
$532$	−1034.19	+	654.496i	−1.94397	+	1.23026i
$533$		−	112.739i		−	0.211518i
$534$	34.3931	+	18.9360i	0.0644066	+	0.0354606i
$535$		−	194.233i		−	0.363052i
$536$	53.6705	+	879.531i	0.100132	+	1.64092i
$537$	359.800			0.670018
$538$	−22.6477	+	41.1347i	−0.0420960	+	0.0764585i
$539$	323.613			0.600396
$540$	570.322	−	360.932i	1.05615	−	0.668393i
$541$			765.739i			1.41541i	0.706506	+	0.707707i	$0.250270\pi$
$541$			765.739i			1.41541i	−0.706506	+	0.707707i	$0.749730\pi$
$542$	−308.601	+	560.508i	−0.569375	+	1.03415i
$543$			398.521i			0.733925i
$544$	789.893	−	570.106i	1.45201	−	1.04799i
$545$	911.132			1.67180
$546$	−166.852	−	91.8644i	−0.305590	−	0.168250i
$547$	−346.375			−0.633226			−0.316613	−	0.948555i	$-0.602546\pi$
$547$	−346.375			−0.633226			−0.316613	+	0.948555i	$0.602546\pi$
$548$	−49.7042	−	78.5393i	−0.0907011	−	0.143320i
$549$		−	19.0803i		−	0.0347547i
$550$	−103.107	−	56.7678i	−0.187467	−	0.103214i
$551$			377.014i			0.684236i
$552$	102.691	−	6.26638i	0.186034	−	0.0113521i
$553$	430.485			0.778453
$554$	−385.046	+	699.355i	−0.695029	+	1.26237i
$555$	635.378			1.14482
$556$	−239.205	−	377.976i	−0.430225	−	0.679813i
$557$		−	137.182i		−	0.246287i	−0.992389	−	0.123143i	$-0.960702\pi$
$557$		−	137.182i		−	0.246287i	0.992389	−	0.123143i	$-0.0392975\pi$
$558$	−83.3281	+	151.348i	−0.149333	+	0.271233i
$559$			251.803i			0.450452i
$560$	−394.425	+	832.755i	−0.704331	+	1.48706i
$561$	540.542			0.963534
$562$	−434.003	−	238.950i	−0.772247	−	0.425179i
$563$	−487.016			−0.865037			−0.432518	−	0.901625i	$-0.642375\pi$
$563$	−487.016			−0.865037			−0.432518	+	0.901625i	$0.642375\pi$
$564$	201.236	−	127.354i	0.356801	−	0.225804i
$565$		−	950.589i		−	1.68246i
$566$	331.271	+	182.389i	0.585284	+	0.322242i
$567$		−	607.851i		−	1.07205i
$568$	964.496	−	58.8553i	1.69806	−	0.103618i
$569$	−132.078			−0.232123			−0.116062	−	0.993242i	$-0.537027\pi$
$569$	−132.078			−0.232123			−0.116062	+	0.993242i	$0.537027\pi$
$570$	465.707	−	845.858i	0.817030	−	1.48396i
$571$	524.715			0.918941			0.459470	−	0.888193i	$-0.348039\pi$
$571$	524.715			0.918941			0.459470	+	0.888193i	$0.348039\pi$
$572$	80.3475	−	50.8485i	0.140468	−	0.0888960i
$573$			425.574i			0.742713i
$574$	−299.688	+	544.320i	−0.522105	+	0.948293i
$575$			42.6228i			0.0741267i
$576$	114.937	−	14.0797i	0.199543	−	0.0244439i
$577$	580.590			1.00622			0.503111	−	0.864222i	$-0.332189\pi$
$577$	580.590			1.00622			0.503111	+	0.864222i	$0.332189\pi$
$578$	−1117.27	−	615.141i	−1.93300	−	1.06426i
$579$	−387.562			−0.669365
$580$	151.790	+	239.849i	0.261707	+	0.413532i
$581$		−	232.898i		−	0.400857i
$582$	405.593	+	223.309i	0.696896	+	0.383692i
$583$		−	357.215i		−	0.612718i
$584$	−43.5032	−	712.913i	−0.0744918	−	1.22074i
$585$	−37.8107			−0.0646337
$586$	39.8479	−	72.3753i	0.0679998	−	0.123507i
$587$	273.163			0.465354			0.232677	−	0.972554i	$-0.425252\pi$
$587$	273.163			0.465354			0.232677	+	0.972554i	$0.425252\pi$
$588$	280.325	+	442.952i	0.476744	+	0.753319i
$589$			1476.67i			2.50708i
$590$	−3.43514	+	6.23921i	−0.00582227	+	0.0105749i
$591$		−	187.205i		−	0.316759i
$592$	588.569	+	278.769i	0.994204	+	0.470894i
$593$	482.084			0.812958			0.406479	−	0.913660i	$-0.366756\pi$
$593$	482.084			0.812958			0.406479	+	0.913660i	$0.366756\pi$
$594$	336.273	+	185.143i	0.566116	+	0.311688i
$595$	1753.15			2.94647
$596$	742.179	−	469.693i	1.24527	−	0.788076i
$597$		−	592.901i		−	0.993134i
$598$	−30.1636	−	16.6073i	−0.0504408	−	0.0277713i
$599$		−	861.737i		−	1.43863i	−0.694686	−	0.719313i	$-0.744457\pi$
$599$		−	861.737i		−	1.43863i	0.694686	−	0.719313i	$-0.255543\pi$
$600$	−11.6127	−	190.303i	−0.0193544	−	0.317172i
$601$	−102.961			−0.171317			−0.0856585	−	0.996325i	$-0.527299\pi$
$601$	−102.961			−0.171317			−0.0856585	+	0.996325i	$0.527299\pi$
$602$	669.355	−	1215.74i	1.11189	−	2.01950i
$603$	199.288			0.330494
$604$	−449.855	+	284.694i	−0.744794	+	0.471348i
$605$			449.128i			0.742360i
$606$	26.0233	−	47.2658i	0.0429428	−	0.0779964i
$607$			598.408i			0.985846i	0.870073	+	0.492923i	$0.164072\pi$
$607$			598.408i			0.985846i	−0.870073	+	0.492923i	$0.835928\pi$
$608$	802.514	−	579.216i	1.31992	−	0.952658i
$609$	323.380			0.531002
$610$	−107.554	−	59.2166i	−0.176319	−	0.0970765i
$611$	−79.7051			−0.130450
$612$	−117.817	−	186.167i	−0.192511	−	0.304194i
$613$			1109.83i			1.81048i	0.424896	+	0.905242i	$0.360311\pi$
$613$			1109.83i			1.81048i	−0.424896	+	0.905242i	$0.639689\pi$
$614$	24.8790	+	13.6977i	0.0405195	+	0.0223090i
$615$		−	490.225i		−	0.797115i
$616$	−523.098	+	31.9204i	−0.849185	+	0.0518188i
$617$	334.282			0.541786			0.270893	−	0.962609i	$-0.412681\pi$
$617$	334.282			0.541786			0.270893	+	0.962609i	$0.412681\pi$
$618$	200.867	−	364.832i	0.325027	−	0.590342i
$619$	−846.483			−1.36750			−0.683750	−	0.729716i	$-0.739652\pi$
$619$	−846.483			−1.36750			−0.683750	+	0.729716i	$0.739652\pi$
$620$	594.525	+	939.430i	0.958911	+	1.51521i
$621$		−	139.010i		−	0.223849i
$622$	−138.192	+	250.997i	−0.222174	+	0.403532i
$623$			72.4233i			0.116249i
$624$	139.200	+	65.9304i	0.223076	+	0.105658i
$625$	−768.200			−1.22912
$626$	−886.747	−	488.219i	−1.41653	−	0.779903i
$627$	549.180			0.875884
$628$	−413.004	+	261.373i	−0.657650	+	0.416198i
$629$		−	1239.08i		−	1.96992i
$630$	182.556	+	100.510i	0.289771	+	0.159540i
$631$		−	209.381i		−	0.331824i	−0.986141	−	0.165912i	$-0.946943\pi$
$631$		−	209.381i		−	0.331824i	0.986141	−	0.165912i	$-0.0530567\pi$
$632$	−347.466	+	21.2030i	−0.549789	+	0.0335491i
$633$	−163.977			−0.259047
$634$	383.817	−	697.122i	0.605389	−	1.09956i
$635$	−239.750			−0.377559
$636$	488.944	−	309.432i	0.768780	−	0.486528i
$637$		−	175.443i		−	0.275421i
$638$	−77.8618	+	141.419i	−0.122040	+	0.221660i
$639$		−	218.540i		−	0.342003i
$640$	277.345	−	691.587i	0.433351	−	1.08060i
$641$	−898.820			−1.40222			−0.701108	−	0.713055i	$-0.747311\pi$
$641$	−898.820			−1.40222			−0.701108	+	0.713055i	$0.747311\pi$
$642$	156.756	+	86.3057i	0.244168	+	0.134433i
$643$	1045.93			1.62663			0.813317	−	0.581821i	$-0.197660\pi$
$643$	1045.93			1.62663			0.813317	+	0.581821i	$0.197660\pi$
$644$	101.488	+	160.365i	0.157590	+	0.249013i
$645$			1094.92i			1.69755i
$646$	−1649.55	−	908.197i	−2.55348	−	1.40588i
$647$			708.110i			1.09445i	0.836985	+	0.547225i	$0.184316\pi$
$647$			708.110i			1.09445i	−0.836985	+	0.547225i	$0.815684\pi$
$648$	29.9390	+	490.628i	0.0462022	+	0.757143i
$649$	−4.05085			−0.00624168
$650$	−30.7760	+	55.8981i	−0.0473477	+	0.0859971i
$651$	1266.60			1.94563
$652$	19.2465	+	30.4121i	0.0295192	+	0.0466443i
$653$		−	551.482i		−	0.844537i	−0.906471	−	0.422268i	$-0.861234\pi$
$653$		−	551.482i		−	0.844537i	0.906471	−	0.422268i	$-0.138766\pi$
$654$	−404.854	+	735.331i	−0.619042	+	1.12436i
$655$			247.881i			0.378444i
$656$	215.084	−	454.110i	0.327872	−	0.692241i
$657$	−161.535			−0.245867
$658$	384.828	+	211.876i	0.584845	+	0.322000i
$659$	226.444			0.343618			0.171809	−	0.985130i	$-0.445039\pi$
$659$	226.444			0.343618			0.171809	+	0.985130i	$0.445039\pi$
$660$	349.377	−	221.106i	0.529359	−	0.335009i
$661$		−	148.152i		−	0.224133i	−0.993701	−	0.112067i	$-0.964253\pi$
$661$		−	148.152i		−	0.224133i	0.993701	−	0.112067i	$-0.0357470\pi$
$662$	218.069	+	120.063i	0.329409	+	0.181364i
$663$		−	293.049i		−	0.442005i
$664$	11.4711	+	187.984i	0.0172758	+	0.283108i
$665$	1781.16			2.67844
$666$	71.0380	−	129.026i	0.106664	−	0.193732i
$667$	58.4608			0.0876473
$668$	−258.024	+	163.292i	−0.386263	+	0.244449i
$669$			206.790i			0.309104i
$670$	618.499	−	1123.37i	0.923133	−	1.67668i
$671$		−	69.8305i		−	0.104069i
$672$	−496.817	−	688.350i	−0.739312	−	1.02433i
$673$	165.615			0.246085			0.123043	−	0.992401i	$-0.460735\pi$
$673$	165.615			0.246085			0.123043	+	0.992401i	$0.460735\pi$
$674$	842.344	+	463.772i	1.24977	+	0.688089i
$675$	−257.609			−0.381643
$676$	333.934	+	527.661i	0.493985	+	0.780564i
$677$			188.215i			0.278013i	0.990291	+	0.139006i	$0.0443909\pi$
$677$			188.215i			0.278013i	−0.990291	+	0.139006i	$0.955609\pi$
$678$	767.175	+	422.386i	1.13153	+	0.622988i
$679$			854.078i			1.25785i
$680$	−1415.06	+	86.3494i	−2.08097	+	0.126984i
$681$	−413.220			−0.606785
$682$	−304.966	+	553.906i	−0.447164	+	0.812178i
$683$	30.3901			0.0444950			0.0222475	−	0.999752i	$-0.492918\pi$
$683$	30.3901			0.0444950			0.0222475	+	0.999752i	$0.492918\pi$
$684$	−119.699	−	189.141i	−0.174999	−	0.276522i
$685$			135.266i			0.197469i
$686$	1.22816	−	2.23070i	0.00179033	−	0.00325175i
$687$		−	661.813i		−	0.963338i
$688$	−480.391	+	1014.26i	−0.698243	+	1.47421i
$689$	−193.660			−0.281074
$690$	−131.161	−	72.2138i	−0.190088	−	0.104658i
$691$	−1200.18			−1.73687			−0.868435	−	0.495804i	$-0.834874\pi$
$691$	−1200.18			−1.73687			−0.868435	+	0.495804i	$0.834874\pi$
$692$	57.8585	−	36.6162i	0.0836106	−	0.0529136i
$693$			118.526i			0.171033i
$694$	432.459	+	238.100i	0.623139	+	0.343084i
$695$			650.979i			0.936660i
$696$	−261.017	+	15.9277i	−0.375025	+	0.0228847i
$697$	−956.011			−1.37161
$698$	−397.516	+	722.004i	−0.569508	+	1.03439i
$699$	−1015.94			−1.45341
$700$	297.182	−	188.074i	0.424546	−	0.268677i
$701$			934.154i			1.33260i	0.745683	+	0.666301i	$0.232123\pi$
$701$			934.154i			1.33260i	−0.745683	+	0.666301i	$0.767877\pi$
$702$	100.373	−	182.306i	0.142982	−	0.259696i
$703$		−	1258.88i		−	1.79072i
$704$	420.647	−	51.5291i	0.597510	−	0.0731948i
$705$	−346.584			−0.491608
$706$	1076.92	+	592.926i	1.52539	+	0.839838i
$707$	99.5300			0.140778
$708$	−3.50899	−	5.54468i	−0.00495620	−	0.00783147i
$709$			812.723i			1.14629i	0.819452	+	0.573147i	$0.194278\pi$
$709$			812.723i			1.14629i	−0.819452	+	0.573147i	$0.805722\pi$
$710$	−1231.89	−	678.248i	−1.73506	−	0.955279i
$711$			78.7304i			0.110732i
$712$	−3.56712	−	58.4566i	−0.00501001	−	0.0821020i
$713$	228.977			0.321146
$714$	−778.998	+	1414.88i	−1.09103	+	1.98163i
$715$	−138.380			−0.193539
$716$	−287.011	−	453.516i	−0.400853	−	0.633402i
$717$			318.255i			0.443871i
$718$	609.208	−	1106.50i	0.848478	−	1.54108i
$719$		−	1138.42i		−	1.58334i	−0.610948	−	0.791671i	$-0.709211\pi$
$719$		−	1138.42i		−	1.58334i	0.610948	−	0.791671i	$-0.290789\pi$
$720$	−152.301	−	72.1356i	−0.211529	−	0.100188i
$721$	768.243			1.06552
$722$	−1043.43	−	574.485i	−1.44519	−	0.795685i
$723$	−807.329			−1.11664
$724$	502.323	−	317.899i	0.693816	−	0.439087i
$725$		−	108.338i		−	0.149431i
$726$	−362.469	−	199.566i	−0.499269	−	0.274884i
$727$		−	514.392i		−	0.707555i	−0.935330	−	0.353777i	$-0.884897\pi$
$727$		−	514.392i		−	0.707555i	0.935330	−	0.353777i	$-0.115103\pi$
$728$	17.3053	+	283.592i	0.0237710	+	0.389549i
$729$	810.706			1.11208
$730$	−501.331	+	910.562i	−0.686755	+	1.24734i
$731$	2135.26			2.92101
$732$	95.5819	−	60.4897i	0.130576	−	0.0826362i
$733$			349.612i			0.476960i	0.971147	+	0.238480i	$0.0766492\pi$
$733$			349.612i			0.476960i	−0.971147	+	0.238480i	$0.923351\pi$
$734$	−650.421	+	1181.35i	−0.886132	+	1.60947i
$735$		−	762.885i		−	1.03794i
$736$	−89.8148	−	124.440i	−0.122031	−	0.169076i
$737$	729.358			0.989630
$738$	−99.5496	−	54.8094i	−0.134891	−	0.0742674i
$739$	192.564			0.260574			0.130287	−	0.991476i	$-0.458410\pi$
$739$	192.564			0.260574			0.130287	+	0.991476i	$0.458410\pi$
$740$	−506.839	−	800.873i	−0.684917	−	1.08226i
$741$		−	297.732i		−	0.401797i
$742$	935.019	+	514.797i	1.26013	+	0.693796i
$743$			238.623i			0.321162i	0.987023	+	0.160581i	$0.0513367\pi$
$743$			238.623i			0.321162i	−0.987023	+	0.160581i	$0.948663\pi$
$744$	−1022.34	+	62.3850i	−1.37411	+	0.0838509i
$745$	−1278.24			−1.71575
$746$	636.934	−	1156.86i	0.853799	−	1.55074i
$747$	42.5942			0.0570204
$748$	−431.189	−	681.336i	−0.576455	−	0.910877i
$749$			330.089i			0.440706i
$750$	242.616	−	440.661i	0.323488	−	0.587548i
$751$			823.600i			1.09667i	0.836259	+	0.548335i	$0.184738\pi$
$751$			823.600i			1.09667i	−0.836259	+	0.548335i	$0.815262\pi$
$752$	−321.050	−	152.062i	−0.426929	−	0.202210i
$753$	524.742			0.696868
$754$	76.6689	+	42.2119i	0.101683	+	0.0559839i
$755$	774.774			1.02619
$756$	−969.233	+	613.386i	−1.28205	+	0.811357i
$757$		−	937.789i		−	1.23882i	−0.785067	−	0.619411i	$-0.787371\pi$
$757$		−	937.789i		−	1.23882i	0.785067	−	0.619411i	$-0.212629\pi$
$758$	−585.155	−	322.171i	−0.771972	−	0.425027i
$759$		−	85.1572i		−	0.112197i
$760$	−1437.67	+	87.7291i	−1.89167	+	0.115433i
$761$	−867.888			−1.14046			−0.570229	−	0.821486i	$-0.693145\pi$
$761$	−867.888			−1.14046			−0.570229	+	0.821486i	$0.693145\pi$
$762$	106.531	−	193.491i	0.139804	−	0.253925i
$763$	−1548.42			−2.02939
$764$	536.423	−	339.479i	0.702124	−	0.444344i
$765$			320.630i			0.419124i
$766$	584.681	−	1061.95i	0.763291	−	1.38636i
$767$			2.19612i			0.00286326i
$768$	434.911	+	531.132i	0.566290	+	0.691579i
$769$	−457.768			−0.595277			−0.297638	−	0.954679i	$-0.596199\pi$
$769$	−457.768			−0.595277			−0.297638	+	0.954679i	$0.596199\pi$
$770$	668.122	+	367.850i	0.867690	+	0.477727i
$771$	723.921			0.938937
$772$	309.157	+	488.510i	0.400462	+	0.632785i
$773$		−	1102.59i		−	1.42638i	−0.700973	−	0.713188i	$-0.747251\pi$
$773$		−	1102.59i		−	1.42638i	0.700973	−	0.713188i	$-0.252749\pi$
$774$	222.344	+	122.417i	0.287267	+	0.158161i
$775$		−	424.332i		−	0.547525i
$776$	−42.0666	−	689.370i	−0.0542095	−	0.888364i
$777$	−1079.79			−1.38969
$778$	−678.682	+	1232.68i	−0.872342	+	1.58442i
$779$	−971.287			−1.24684
$780$	−119.870	−	189.411i	−0.153680	−	0.242834i
$781$		−	799.816i		−	1.02409i
$782$	−140.827	+	255.783i	−0.180086	+	0.327088i
$783$			353.333i			0.451255i
$784$	334.712	−	706.682i	0.426929	−	0.901380i
$785$	711.306			0.906123
$786$	−200.053	−	110.144i	−0.254520	−	0.140132i
$787$	−326.075			−0.414326			−0.207163	−	0.978306i	$-0.566423\pi$
$787$	−326.075			−0.414326			−0.207163	+	0.978306i	$0.566423\pi$
$788$	−235.965	+	149.332i	−0.299448	+	0.189508i
$789$			684.103i			0.867051i
$790$	443.798	+	244.344i	0.561770	+	0.309296i
$791$			1615.48i			2.04232i
$792$	−5.83785	−	95.6683i	−0.00737102	−	0.120793i
$793$	−37.8578			−0.0477400
$794$	−319.750	+	580.757i	−0.402707	+	0.731433i
$795$	−842.096			−1.05924
$796$	−747.333	+	472.955i	−0.938861	+	0.594165i
$797$			202.946i			0.254638i	0.991862	+	0.127319i	$0.0406372\pi$
$797$			202.946i			0.254638i	−0.991862	+	0.127319i	$0.959363\pi$
$798$	−791.445	+	1437.49i	−0.991786	+	1.80137i
$799$			675.888i			0.845918i
$800$	−230.608	+	166.442i	−0.288260	+	0.208052i
$801$	−13.2453			−0.0165360
$802$	300.144	+	165.251i	0.374244	+	0.206049i
$803$	−591.189			−0.736225
$804$	631.795	+	998.322i	0.785815	+	1.24169i
$805$		−	276.192i		−	0.343096i
$806$	300.294	+	165.334i	0.372573	+	0.205129i
$807$			62.9590i			0.0780161i
$808$	−80.3358	+	4.90223i	−0.0994255	+	0.00606712i
$809$	506.745			0.626384			0.313192	−	0.949690i	$-0.398602\pi$
$809$	506.745			0.626384			0.313192	+	0.949690i	$0.398602\pi$
$810$	345.017	−	626.650i	0.425947	−	0.773642i
$811$	−1137.44			−1.40251			−0.701257	−	0.712909i	$-0.747377\pi$
$811$	−1137.44			−1.40251			−0.701257	+	0.712909i	$0.747377\pi$
$812$	−257.959	−	407.611i	−0.317684	−	0.501983i
$813$			857.890i			1.05522i
$814$	259.986	−	472.210i	0.319394	−	0.580111i
$815$		−	52.3780i		−	0.0642675i
$816$	559.081	−	1180.40i	0.685148	−	1.44656i
$817$	2169.37			2.65529
$818$	1039.12	+	572.111i	1.27032	+	0.699402i
$819$	64.2574			0.0784584
$820$	−617.914	+	391.051i	−0.753553	+	0.476892i
$821$		−	317.244i		−	0.386412i	−0.981158	−	0.193206i	$-0.938111\pi$
$821$		−	317.244i		−	0.386412i	0.981158	−	0.193206i	$-0.0618886\pi$
$822$	−109.167	−	60.1044i	−0.132807	−	0.0731198i
$823$		−	785.795i		−	0.954793i	−0.878688	−	0.477397i	$-0.841580\pi$
$823$		−	785.795i		−	0.954793i	0.878688	−	0.477397i	$-0.158420\pi$
$824$	−620.089	+	37.8389i	−0.752535	+	0.0459210i
$825$	−157.811			−0.191286
$826$	5.83785	−	10.6032i	0.00706761	−	0.0128368i
$827$	−214.732			−0.259652			−0.129826	−	0.991537i	$-0.541442\pi$
$827$	−214.732			−0.259652			−0.129826	+	0.991537i	$0.541442\pi$
$828$	−29.3288	+	18.5609i	−0.0354212	+	0.0224166i
$829$		−	730.294i		−	0.880934i	−0.897769	−	0.440467i	$-0.854813\pi$
$829$		−	730.294i		−	0.880934i	0.897769	−	0.440467i	$-0.145187\pi$
$830$	132.193	−	240.101i	0.159269	−	0.289278i
$831$			1070.40i			1.28809i
$832$	−27.9360	−	228.049i	−0.0335769	−	0.274098i
$833$	−1487.74			−1.78600
$834$	−525.374	−	289.257i	−0.629945	−	0.346831i
$835$	444.388			0.532201
$836$	−438.078	−	692.223i	−0.524017	−	0.828018i
$837$			1383.92i			1.65343i
$838$	89.8810	+	49.4861i	0.107257	+	0.0590526i
$839$			250.308i			0.298341i	0.988811	+	0.149171i	$0.0476603\pi$
$839$			250.308i			0.298341i	−0.988811	+	0.149171i	$0.952340\pi$
$840$	75.2489	+	1233.15i	0.0895820	+	1.46803i
$841$	692.406			0.823313
$842$	247.279	−	449.130i	0.293680	−	0.533408i
$843$	−664.266			−0.787978
$844$	130.804	+	206.687i	0.154981	+	0.244890i
$845$		−	908.777i		−	1.07548i
$846$	−38.7496	+	70.3804i	−0.0458033	+	0.0831919i
$847$		−	763.269i		−	0.901144i
$848$	−780.058	−	369.466i	−0.919880	−	0.435691i
$849$	507.029			0.597207
$850$	474.009	+	260.977i	0.557657	+	0.307031i
$851$	−195.205			−0.229383
$852$	1094.76	−	692.829i	1.28493	−	0.813179i
$853$		−	764.203i		−	0.895900i	−0.894059	−	0.447950i	$-0.852154\pi$
$853$		−	764.203i		−	0.895900i	0.894059	−	0.447950i	$-0.147846\pi$
$854$	182.783	+	100.636i	0.214032	+	0.117840i
$855$			325.753i			0.380998i
$856$	−16.2581	−	266.432i	−0.0189931	−	0.311252i
$857$	−8.70183			−0.0101538			−0.00507691	−	0.999987i	$-0.501616\pi$
$857$	−8.70183			−0.0101538			−0.00507691	+	0.999987i	$0.501616\pi$
$858$	61.4882	−	111.680i	0.0716646	−	0.130164i
$859$	1550.95			1.80553			0.902764	−	0.430137i	$-0.141535\pi$
$859$	1550.95			1.80553			0.902764	+	0.430137i	$0.141535\pi$
$860$	1380.11	−	873.414i	1.60478	−	1.01560i
$861$			833.113i			0.967611i
$862$	−521.178	+	946.609i	−0.604614	+	1.09815i
$863$		−	43.2061i		−	0.0500651i	−0.999687	−	0.0250325i	$-0.992031\pi$
$863$		−	43.2061i		−	0.0500651i	0.999687	−	0.0250325i	$-0.00796893\pi$
$864$	752.106	−	542.834i	0.870493	−	0.628280i
$865$	−99.6483			−0.115200
$866$	339.456	+	186.896i	0.391982	+	0.215815i
$867$	−1710.05			−1.97238
$868$	−1010.36	−	1596.51i	−1.16401	−	1.83930i
$869$			288.139i			0.331576i
$870$	333.382	+	183.551i	0.383197	+	0.210978i
$871$		−	395.413i		−	0.453976i
$872$	1249.81	−	76.2657i	1.43327	−	0.0874606i
$873$	−156.200			−0.178924
$874$	−143.078	+	259.870i	−0.163704	+	0.297334i
$875$	927.921			1.06048
$876$	−512.109	−	809.201i	−0.584599	−	0.923745i
$877$		−	1234.87i		−	1.40806i	−0.710169	−	0.704031i	$-0.751382\pi$
$877$		−	1234.87i		−	1.40806i	0.710169	−	0.704031i	$-0.248618\pi$
$878$	282.414	−	512.946i	0.321656	−	0.584221i
$879$		−	110.774i		−	0.126023i
$880$	−557.394	−	264.003i	−0.633402	−	0.300004i
$881$	−558.653			−0.634112			−0.317056	−	0.948407i	$-0.602694\pi$
$881$	−558.653			−0.634112			−0.317056	+	0.948407i	$0.602694\pi$
$882$	−154.918	−	85.2938i	−0.175644	−	0.0967050i
$883$	124.038			0.140473			0.0702366	−	0.997530i	$-0.477625\pi$
$883$	124.038			0.140473			0.0702366	+	0.997530i	$0.477625\pi$
$884$	−369.379	+	233.764i	−0.417849	+	0.264439i
$885$			9.54946i			0.0107903i
$886$	−112.075	−	61.7054i	−0.126495	−	0.0696449i
$887$		−	1108.66i		−	1.24990i	−0.780664	−	0.624951i	$-0.785119\pi$
$887$		−	1108.66i		−	1.24990i	0.780664	−	0.624951i	$-0.214881\pi$
$888$	871.556	−	53.1839i	0.981482	−	0.0598918i
$889$	407.443			0.458316
$890$	−41.1075	+	74.6631i	−0.0461882	+	0.0838912i
$891$	406.857			0.456630
$892$	260.653	−	164.956i	0.292212	−	0.184928i
$893$			686.688i			0.768968i
$894$	567.973	−	1031.60i	0.635317	−	1.15392i
$895$			781.079i			0.872714i
$896$	−471.333	+	1175.32i	−0.526041	+	1.31174i
$897$	−46.1671			−0.0514683
$898$	737.433	+	406.011i	0.821194	+	0.452128i
$899$	−582.007			−0.647394
$900$	34.3965	+	54.3511i	0.0382183	+	0.0603901i
$901$			1642.21i			1.82265i
$902$	−364.334	−	200.592i	−0.403918	−	0.222386i
$903$		−	1860.76i		−	2.06064i
$904$	−79.5684	−	1303.93i	−0.0880181	−	1.44241i
$905$	−865.138			−0.955954
$906$	−344.264	+	625.283i	−0.379983	+	0.690158i
$907$	−430.673			−0.474833			−0.237416	−	0.971408i	$-0.576301\pi$
$907$	−430.673			−0.474833			−0.237416	+	0.971408i	$0.576301\pi$
$908$	329.624	+	520.851i	0.363022	+	0.573624i
$909$			18.2028i			0.0200251i
$910$	199.426	−	362.215i	0.219149	−	0.398038i
$911$		−	978.784i		−	1.07441i	−0.843453	−	0.537203i	$-0.819481\pi$
$911$		−	978.784i		−	1.07441i	0.843453	−	0.537203i	$-0.180519\pi$
$912$	568.014	−	1199.26i	0.622823	−	1.31497i
$913$	155.887			0.170742
$914$	622.382	+	342.667i	0.680943	+	0.374909i
$915$	−164.618			−0.179911
$916$	−834.194	+	527.926i	−0.910693	+	0.576338i
$917$		−	421.261i		−	0.459390i
$918$	−1545.94	−	851.151i	−1.68403	−	0.927180i
$919$		−	1052.91i		−	1.14572i	−0.819654	−	0.572858i	$-0.805835\pi$
$919$		−	1052.91i		−	1.14572i	0.819654	−	0.572858i	$-0.194165\pi$
$920$	13.6035	+	222.929i	0.0147864	+	0.242314i
$921$	38.0787			0.0413450
$922$	−154.010	+	279.726i	−0.167039	+	0.303391i
$923$	−433.611			−0.469785
$924$	−593.748	+	375.758i	−0.642585	+	0.406665i
$925$			361.747i			0.391078i
$926$	−205.872	+	373.922i	−0.222324	+	0.403804i
$927$			140.502i			0.151567i
$928$	228.289	+	316.298i	0.246001	+	0.340839i
$929$	975.050			1.04957			0.524785	−	0.851235i	$-0.324146\pi$
$929$	975.050			1.04957			0.524785	+	0.851235i	$0.324146\pi$
$930$	1305.78	+	718.925i	1.40406	+	0.773038i
$931$	−1511.51			−1.62353
$932$	810.409	+	1280.55i	0.869537	+	1.37399i
$933$			384.165i			0.411752i
$934$	1356.16	+	746.664i	1.45199	+	0.799426i
$935$			1173.45i			1.25503i
$936$	−51.8655	+	3.16492i	−0.0554118	+	0.00338133i
$937$	1295.34			1.38244			0.691219	−	0.722645i	$-0.257074\pi$
$937$	1295.34			1.38244			0.691219	+	0.722645i	$0.257074\pi$
$938$	−1051.11	+	1909.11i	−1.12058	+	2.03530i
$939$	−1357.22			−1.44539
$940$	276.468	+	436.857i	0.294115	+	0.464742i
$941$			213.605i			0.226998i	0.993538	+	0.113499i	$0.0362059\pi$
$941$			213.605i			0.226998i	−0.993538	+	0.113499i	$0.963794\pi$
$942$	−316.063	+	574.061i	−0.335523	+	0.609407i
$943$			150.610i			0.159714i
$944$	−4.18978	+	8.84594i	−0.00443833	+	0.00937070i
$945$	1669.29			1.76644
$946$	813.741	+	448.024i	0.860191	+	0.473598i
$947$	1439.62			1.52019			0.760097	−	0.649810i	$-0.225152\pi$
$947$	1439.62			1.52019			0.760097	+	0.649810i	$0.225152\pi$
$948$	−394.396	+	249.596i	−0.416029	+	0.263287i
$949$			320.506i			0.337731i
$950$	481.583	+	265.147i	0.506929	+	0.279102i
$951$		−	1066.98i		−	1.12196i
$952$	2404.82	−	146.746i	2.52607	−	0.154145i
$953$	−1256.44			−1.31841			−0.659204	−	0.751964i	$-0.729107\pi$
$953$	−1256.44			−1.31841			−0.659204	+	0.751964i	$0.729107\pi$
$954$	−94.1501	+	171.004i	−0.0986898	+	0.179249i
$955$	−923.868			−0.967401
$956$	401.151	−	253.871i	0.419614	−	0.265556i
$957$			216.450i			0.226176i
$958$	439.511	−	798.278i	0.458779	−	0.833275i
$959$		−	229.878i		−	0.239706i
$960$	−121.475	−	991.632i	−0.126536	−	1.03295i
$961$	−1318.58			−1.37209
$962$	−256.004	−	140.949i	−0.266116	−	0.146516i
$963$	−60.3692			−0.0626887
$964$	644.004	+	1017.61i	0.668053	+	1.05561i
$965$		−	841.348i		−	0.871863i
$966$	222.901	+	122.724i	0.230747	+	0.127043i
$967$		−	1408.92i		−	1.45700i	−0.685047	−	0.728499i	$-0.740218\pi$
$967$		−	1408.92i		−	1.45700i	0.685047	−	0.728499i	$-0.259782\pi$
$968$	37.5939	+	616.074i	0.0388367	+	0.636440i
$969$	−2524.72			−2.60550
$970$	−484.775	+	880.492i	−0.499768	+	0.907723i
$971$	527.196			0.542941			0.271470	−	0.962447i	$-0.412490\pi$
$971$	527.196			0.542941			0.271470	+	0.962447i	$0.412490\pi$
$972$	−205.584	−	324.851i	−0.211507	−	0.334209i
$973$		−	1106.30i		−	1.13700i
$974$	−114.227	+	207.468i	−0.117276	+	0.213007i
$975$			85.5552i			0.0877490i
$976$	−152.491	−	72.2255i	−0.156240	−	0.0740015i
$977$	−1728.15			−1.76883			−0.884417	−	0.466698i	$-0.845444\pi$
$977$	−1728.15			−1.76883			−0.884417	+	0.466698i	$0.845444\pi$
$978$	42.2718	+	23.2737i	0.0432227	+	0.0237973i
$979$	−48.4756			−0.0495154
$980$	−961.592	+	608.550i	−0.981216	+	0.620970i
$981$		−	283.188i		−	0.288672i
$982$	−1088.65	−	599.382i	−1.10860	−	0.610368i
$983$		−	431.863i		−	0.439332i	−0.975575	−	0.219666i	$-0.929503\pi$
$983$		−	431.863i		−	0.439332i	0.975575	−	0.219666i	$-0.0704967\pi$
$984$	−41.0340	−	672.449i	−0.0417012	−	0.683383i
$985$	406.397			0.412586
$986$	357.951	−	650.143i	0.363034	−	0.659374i
$987$	589.001			0.596759
$988$	−375.281	+	237.499i	−0.379839	+	0.240384i
$989$		−	336.389i		−	0.340130i
$990$	−67.2753	+	122.191i	−0.0679549	+	0.123426i
$991$		−	1658.76i		−	1.67382i	−0.547340	−	0.836910i	$-0.684360\pi$
$991$		−	1658.76i		−	1.67382i	0.547340	−	0.836910i	$-0.315640\pi$
$992$	894.152	+	1238.86i	0.901363	+	1.24885i
$993$	333.767			0.336120
$994$	2093.54	+	1152.65i	2.10618	+	1.15961i
$995$	1287.11			1.29358
$996$	135.035	+	213.374i	0.135577	+	0.214230i
$997$		−	677.009i		−	0.679046i	−0.940598	−	0.339523i	$-0.889734\pi$
$997$		−	677.009i		−	0.679046i	0.940598	−	0.339523i	$-0.110266\pi$
$998$	46.0119	+	25.3329i	0.0461041	+	0.0253837i
$999$		−	1179.81i		−	1.18099i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	184.3.g.a.139.7	✓	44
4.3	odd	2		736.3.g.a.47.31		44
8.3	odd	2	inner	184.3.g.a.139.8	yes	44
8.5	even	2		736.3.g.a.47.32		44

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
184.3.g.a.139.7	✓	44	1.1	even	1	trivial
184.3.g.a.139.8	yes	44	8.3	odd	2	inner
736.3.g.a.47.31		44	4.3	odd	2
736.3.g.a.47.32		44	8.5	even	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 184 = 2^{3} \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	184.g (of order \(2\), degree \(1\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.75201 - 0.964609i) q^{2} -2.68155 q^{3} +(2.13906 + 3.38000i) q^{4} -5.82129i q^{5} +(4.69809 + 2.58664i) q^{6} +9.89299i q^{7} +(-0.487268 - 7.98515i) q^{8} -1.80931 q^{9} +O(q^{10})\)	\(q+(-1.75201 - 0.964609i) q^{2} -2.68155 q^{3} +(2.13906 + 3.38000i) q^{4} -5.82129i q^{5} +(4.69809 + 2.58664i) q^{6} +9.89299i q^{7} +(-0.487268 - 7.98515i) q^{8} -1.80931 q^{9} +(-5.61527 + 10.1990i) q^{10} -6.62174 q^{11} +(-5.73599 - 9.06364i) q^{12} +3.58990i q^{13} +(9.54287 - 17.3326i) q^{14} +15.6101i q^{15} +(-6.84885 + 14.4601i) q^{16} +30.4419 q^{17} +(3.16992 + 1.74527i) q^{18} +30.9283 q^{19} +(19.6760 - 12.4521i) q^{20} -26.5285i q^{21} +(11.6013 + 6.38739i) q^{22} -4.79583i q^{23} +(1.30663 + 21.4125i) q^{24} -8.88747 q^{25} +(3.46285 - 6.28954i) q^{26} +28.9857 q^{27} +(-33.4383 + 21.1617i) q^{28} +12.1899i q^{29} +(15.0576 - 27.3490i) q^{30} +47.7450i q^{31} +(25.9475 - 18.7277i) q^{32} +17.7565 q^{33} +(-53.3345 - 29.3645i) q^{34} +57.5900 q^{35} +(-3.87022 - 6.11547i) q^{36} -40.7031i q^{37} +(-54.1867 - 29.8338i) q^{38} -9.62650i q^{39} +(-46.4839 + 2.83653i) q^{40} -31.4044 q^{41} +(-25.5896 + 46.4782i) q^{42} +70.1419 q^{43} +(-14.1643 - 22.3815i) q^{44} +10.5325i q^{45} +(-4.62610 + 8.40233i) q^{46} +22.2026i q^{47} +(18.3655 - 38.7753i) q^{48} -48.8713 q^{49} +(15.5709 + 8.57294i) q^{50} -81.6314 q^{51} +(-12.1339 + 7.67902i) q^{52} +53.9457i q^{53} +(-50.7831 - 27.9598i) q^{54} +38.5471i q^{55} +(78.9970 - 4.82054i) q^{56} -82.9358 q^{57} +(11.7585 - 21.3568i) q^{58} +0.611750 q^{59} +(-52.7621 + 33.3909i) q^{60} +10.5456i q^{61} +(46.0552 - 83.6495i) q^{62} -17.8995i q^{63} +(-63.5251 + 7.78181i) q^{64} +20.8979 q^{65} +(-31.1095 - 17.1281i) q^{66} -110.146 q^{67} +(65.1171 + 102.894i) q^{68} +12.8602i q^{69} +(-100.898 - 55.5518i) q^{70} +120.786i q^{71} +(0.881618 + 14.4476i) q^{72} +89.2799 q^{73} +(-39.2625 + 71.3121i) q^{74} +23.8322 q^{75} +(66.1576 + 104.538i) q^{76} -65.5089i q^{77} +(-9.28580 + 16.8657i) q^{78} -43.5141i q^{79} +(84.1763 + 39.8692i) q^{80} -61.4426 q^{81} +(55.0208 + 30.2930i) q^{82} -23.5417 q^{83} +(89.6665 - 56.7461i) q^{84} -177.211i q^{85} +(-122.889 - 67.6595i) q^{86} -32.6878i q^{87} +(3.22656 + 52.8756i) q^{88} +7.32067 q^{89} +(10.1598 - 18.4530i) q^{90} -35.5149 q^{91} +(16.2099 - 10.2586i) q^{92} -128.030i q^{93} +(21.4168 - 38.8990i) q^{94} -180.043i q^{95} +(-69.5795 + 50.2191i) q^{96} +86.3316 q^{97} +(85.6229 + 47.1417i) q^{98} +11.9808 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 44 q - 3 q^{6} + 15 q^{8} + 132 q^{9}+O(q^{10}) \) 44 * q - 3 * q^6 + 15 * q^8 + 132 * q^9	\( 44 q - 3 q^{6} + 15 q^{8} + 132 q^{9} + 26 q^{10} - 19 q^{12} - 8 q^{14} - 16 q^{16} - 8 q^{17} - 57 q^{18} + 40 q^{20} + 44 q^{22} - 88 q^{24} - 244 q^{25} + 19 q^{26} - 48 q^{27} + 6 q^{28} + 86 q^{30} + 160 q^{32} + 16 q^{33} + 18 q^{34} + 96 q^{35} + 179 q^{36} - 156 q^{38} + 130 q^{40} + 88 q^{41} + 100 q^{42} - 128 q^{43} - 158 q^{44} + 5 q^{48} - 340 q^{49} + 4 q^{50} + 160 q^{51} - 127 q^{52} + 53 q^{54} - 6 q^{56} - 176 q^{57} + 147 q^{58} + 16 q^{59} - 283 q^{62} - 405 q^{64} + 96 q^{65} - 602 q^{66} - 288 q^{67} + 72 q^{68} + 312 q^{70} - 57 q^{72} + 280 q^{73} - 198 q^{74} + 160 q^{75} + 172 q^{76} - 185 q^{78} - 90 q^{80} + 284 q^{81} - 75 q^{82} - 480 q^{83} - 254 q^{84} - 98 q^{86} + 204 q^{88} - 200 q^{89} + 488 q^{90} + 192 q^{91} + 19 q^{94} - 107 q^{96} + 184 q^{97} + 200 q^{98} + 256 q^{99}+O(q^{100}) \) 44 * q - 3 * q^6 + 15 * q^8 + 132 * q^9 + 26 * q^10 - 19 * q^12 - 8 * q^14 - 16 * q^16 - 8 * q^17 - 57 * q^18 + 40 * q^20 + 44 * q^22 - 88 * q^24 - 244 * q^25 + 19 * q^26 - 48 * q^27 + 6 * q^28 + 86 * q^30 + 160 * q^32 + 16 * q^33 + 18 * q^34 + 96 * q^35 + 179 * q^36 - 156 * q^38 + 130 * q^40 + 88 * q^41 + 100 * q^42 - 128 * q^43 - 158 * q^44 + 5 * q^48 - 340 * q^49 + 4 * q^50 + 160 * q^51 - 127 * q^52 + 53 * q^54 - 6 * q^56 - 176 * q^57 + 147 * q^58 + 16 * q^59 - 283 * q^62 - 405 * q^64 + 96 * q^65 - 602 * q^66 - 288 * q^67 + 72 * q^68 + 312 * q^70 - 57 * q^72 + 280 * q^73 - 198 * q^74 + 160 * q^75 + 172 * q^76 - 185 * q^78 - 90 * q^80 + 284 * q^81 - 75 * q^82 - 480 * q^83 - 254 * q^84 - 98 * q^86 + 204 * q^88 - 200 * q^89 + 488 * q^90 + 192 * q^91 + 19 * q^94 - 107 * q^96 + 184 * q^97 + 200 * q^98 + 256 * q^99

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