LMFDB - Embedded newform 144.3.w.a.5.15

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [144,3,Mod(5,144)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(144, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([0, 3, 10]))

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

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

chi := DirichletCharacter("144.5");

S:= CuspForms(chi, 3);

N := Newforms(S);

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

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$3.92371580679$
Analytic rank:	$0$
Dimension:	$184$
Relative dimension:	$46$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			5.15
Character	$\chi$	$=$	144.5
Dual form			144.3.w.a.29.15

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.09867 - 1.67120i) q^{2} +(0.894041 + 2.86368i) q^{3} +(-1.58584 + 3.67221i) q^{4} +(-0.835695 - 3.11886i) q^{5} +(3.80354 - 4.64037i) q^{6} +(0.108974 - 0.0629164i) q^{7} +(7.87933 - 1.38428i) q^{8} +(-7.40138 + 5.12050i) q^{9} +O(q^{10})$	\(q+(-1.09867 - 1.67120i) q^{2} +(0.894041 + 2.86368i) q^{3} +(-1.58584 + 3.67221i) q^{4} +(-0.835695 - 3.11886i) q^{5} +(3.80354 - 4.64037i) q^{6} +(0.108974 - 0.0629164i) q^{7} +(7.87933 - 1.38428i) q^{8} +(-7.40138 + 5.12050i) q^{9} +(-4.29409 + 4.82321i) q^{10} +(16.3750 + 4.38767i) q^{11} +(-11.9339 - 1.25825i) q^{12} +(6.21671 + 23.2011i) q^{13} +(-0.224873 - 0.112994i) q^{14} +(8.18427 - 5.18155i) q^{15} +(-10.9702 - 11.6471i) q^{16} +26.4707i q^{17} +(16.6891 + 6.74347i) q^{18} +(-12.4559 + 12.4559i) q^{19} +(12.7784 + 1.87717i) q^{20} +(0.277600 + 0.255819i) q^{21} +(-10.6581 - 32.1866i) q^{22} +(11.0176 - 19.0831i) q^{23} +(11.0086 + 21.3263i) q^{24} +(12.6218 - 7.28718i) q^{25} +(31.9436 - 35.8798i) q^{26} +(-21.2806 - 16.6173i) q^{27} +(0.0582258 + 0.499952i) q^{28} +(9.19097 - 34.3012i) q^{29} +(-17.6513 - 7.98477i) q^{30} +(-2.65318 + 4.59544i) q^{31} +(-7.41200 + 31.1298i) q^{32} +(2.07502 + 50.8156i) q^{33} +(44.2379 - 29.0826i) q^{34} +(-0.287297 - 0.287297i) q^{35} +(-7.06611 - 35.2997i) q^{36} +(-22.6051 - 22.6051i) q^{37} +(34.5012 + 7.13139i) q^{38} +(-60.8826 + 38.5454i) q^{39} +(-10.9021 - 23.4176i) q^{40} +(-13.0140 + 22.5410i) q^{41} +(0.122533 - 0.744987i) q^{42} +(5.71880 - 21.3428i) q^{43} +(-42.0806 + 53.1742i) q^{44} +(22.1554 + 18.8047i) q^{45} +(-43.9965 + 2.55335i) q^{46} +(13.6253 - 7.86657i) q^{47} +(23.5458 - 41.8282i) q^{48} +(-24.4921 + 42.4215i) q^{49} +(-26.0455 - 13.0873i) q^{50} +(-75.8037 + 23.6659i) q^{51} +(-95.0579 - 13.9642i) q^{52} +(19.5741 - 19.5741i) q^{53} +(-4.39045 + 53.8212i) q^{54} -54.7380i q^{55} +(0.771551 - 0.646590i) q^{56} +(-46.8058 - 24.5337i) q^{57} +(-67.4221 + 22.3257i) q^{58} +(-14.4393 - 53.8883i) q^{59} +(6.04875 + 38.2715i) q^{60} +(74.0899 + 19.8523i) q^{61} +(10.5949 - 0.614877i) q^{62} +(-0.484398 + 1.02367i) q^{63} +(60.1675 - 21.8144i) q^{64} +(67.1656 - 38.7781i) q^{65} +(82.6435 - 59.2974i) q^{66} +(-14.5188 - 54.1848i) q^{67} +(-97.2058 - 41.9783i) q^{68} +(64.4982 + 14.4900i) q^{69} +(-0.164487 + 0.795776i) q^{70} -10.7106 q^{71} +(-51.2297 + 50.5917i) q^{72} +98.0523i q^{73} +(-12.9421 + 62.6132i) q^{74} +(32.1525 + 29.6297i) q^{75} +(-25.9875 - 65.4936i) q^{76} +(2.06051 - 0.552113i) q^{77} +(131.307 + 59.3985i) q^{78} +(1.02359 + 1.77291i) q^{79} +(-27.1578 + 43.9479i) q^{80} +(28.5609 - 75.7976i) q^{81} +(51.9687 - 3.01601i) q^{82} +(23.1271 - 86.3114i) q^{83} +(-1.37965 + 0.613718i) q^{84} +(82.5582 - 22.1214i) q^{85} +(-41.9513 + 13.8915i) q^{86} +(106.445 - 4.34659i) q^{87} +(135.098 + 11.9043i) q^{88} -76.9719 q^{89} +(7.08493 - 57.6863i) q^{90} +(2.13719 + 2.13719i) q^{91} +(52.6049 + 70.7218i) q^{92} +(-15.5320 - 3.48936i) q^{93} +(-28.1164 - 14.1279i) q^{94} +(49.2574 + 28.4388i) q^{95} +(-95.7725 + 6.60563i) q^{96} +(19.6709 + 34.0710i) q^{97} +(97.8038 - 5.67606i) q^{98} +(-143.665 + 51.3734i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 184 q - 6 q^{2} - 4 q^{3} - 2 q^{4} - 6 q^{5} - 10 q^{6}+O(q^{10}) $ 184 * q - 6 * q^2 - 4 * q^3 - 2 * q^4 - 6 * q^5 - 10 * q^6	$ 184 q - 6 q^{2} - 4 q^{3} - 2 q^{4} - 6 q^{5} - 10 q^{6} - 8 q^{10} - 6 q^{11} - 64 q^{12} - 2 q^{13} - 6 q^{14} - 8 q^{15} - 2 q^{16} + 54 q^{18} - 8 q^{19} + 120 q^{20} - 22 q^{21} - 2 q^{22} - 160 q^{24} + 44 q^{27} - 72 q^{28} - 6 q^{29} - 90 q^{30} - 4 q^{31} - 6 q^{32} - 8 q^{33} + 6 q^{34} - 202 q^{36} - 8 q^{37} - 6 q^{38} - 2 q^{40} + 44 q^{42} - 2 q^{43} + 46 q^{45} - 160 q^{46} - 12 q^{47} - 118 q^{48} + 472 q^{49} + 228 q^{50} - 48 q^{51} - 2 q^{52} + 206 q^{54} - 300 q^{56} - 92 q^{58} - 438 q^{59} - 90 q^{60} - 2 q^{61} - 204 q^{63} + 244 q^{64} - 12 q^{65} - 508 q^{66} - 2 q^{67} - 144 q^{68} + 14 q^{69} + 96 q^{70} + 6 q^{72} + 246 q^{74} + 152 q^{75} - 158 q^{76} - 6 q^{77} + 304 q^{78} - 4 q^{79} - 8 q^{81} - 388 q^{82} - 726 q^{83} + 542 q^{84} + 48 q^{85} + 894 q^{86} + 22 q^{88} - 528 q^{90} - 204 q^{91} - 348 q^{92} + 62 q^{93} - 18 q^{94} - 12 q^{95} + 262 q^{96} - 4 q^{97} + 286 q^{99}+O(q^{100}) $ 184 * q - 6 * q^2 - 4 * q^3 - 2 * q^4 - 6 * q^5 - 10 * q^6 - 8 * q^10 - 6 * q^11 - 64 * q^12 - 2 * q^13 - 6 * q^14 - 8 * q^15 - 2 * q^16 + 54 * q^18 - 8 * q^19 + 120 * q^20 - 22 * q^21 - 2 * q^22 - 160 * q^24 + 44 * q^27 - 72 * q^28 - 6 * q^29 - 90 * q^30 - 4 * q^31 - 6 * q^32 - 8 * q^33 + 6 * q^34 - 202 * q^36 - 8 * q^37 - 6 * q^38 - 2 * q^40 + 44 * q^42 - 2 * q^43 + 46 * q^45 - 160 * q^46 - 12 * q^47 - 118 * q^48 + 472 * q^49 + 228 * q^50 - 48 * q^51 - 2 * q^52 + 206 * q^54 - 300 * q^56 - 92 * q^58 - 438 * q^59 - 90 * q^60 - 2 * q^61 - 204 * q^63 + 244 * q^64 - 12 * q^65 - 508 * q^66 - 2 * q^67 - 144 * q^68 + 14 * q^69 + 96 * q^70 + 6 * q^72 + 246 * q^74 + 152 * q^75 - 158 * q^76 - 6 * q^77 + 304 * q^78 - 4 * q^79 - 8 * q^81 - 388 * q^82 - 726 * q^83 + 542 * q^84 + 48 * q^85 + 894 * q^86 + 22 * q^88 - 528 * q^90 - 204 * q^91 - 348 * q^92 + 62 * q^93 - 18 * q^94 - 12 * q^95 + 262 * q^96 - 4 * q^97 + 286 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$37$	$65$	$127$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{5}{6}\right)$	$1$

Coefficient data

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

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

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

$2$	−1.09867	−	1.67120i	−0.549336	−	0.835602i
$2$	−1.09867	−	1.67120i	−0.549336	−	0.835602i
$3$	0.894041	+	2.86368i	0.298014	+	0.954562i
$3$	0.894041	+	2.86368i	0.298014	+	0.954562i
$4$	−1.58584	+	3.67221i	−0.396461	+	0.918052i
$5$	−0.835695	−	3.11886i	−0.167139	−	0.623771i	−0.997758	−	0.0669296i	$-0.978680\pi$
$5$	−0.835695	−	3.11886i	−0.167139	−	0.623771i	0.830619	−	0.556842i	$-0.187987\pi$
$6$	3.80354	−	4.64037i	0.633924	−	0.773395i
$7$	0.108974	−	0.0629164i	0.0155678	−	0.00898806i	−0.492196	−	0.870484i	$-0.663806\pi$
$7$	0.108974	−	0.0629164i	0.0155678	−	0.00898806i	0.507764	+	0.861496i	$0.330472\pi$
$8$	7.87933	−	1.38428i	0.984916	−	0.173035i
$9$	−7.40138	+	5.12050i	−0.822376	+	0.568945i
$10$	−4.29409	+	4.82321i	−0.429409	+	0.482321i
$11$	16.3750	+	4.38767i	1.48864	+	0.398879i	0.909276	−	0.416193i	$-0.136636\pi$
$11$	16.3750	+	4.38767i	1.48864	+	0.398879i	0.579360	+	0.815072i	$0.303303\pi$
$12$	−11.9339	−	1.25825i	−0.994488	−	0.104854i
$13$	6.21671	+	23.2011i	0.478209	+	1.78470i	0.608867	+	0.793272i	$0.291624\pi$
$13$	6.21671	+	23.2011i	0.478209	+	1.78470i	−0.130659	+	0.991427i	$0.541709\pi$
$14$	−0.224873	−	0.112994i	−0.0160624	−	0.00807100i
$15$	8.18427	−	5.18155i	0.545618	−	0.345437i
$16$	−10.9702	−	11.6471i	−0.685638	−	0.727943i
$17$			26.4707i			1.55710i	0.627584	+	0.778549i	$0.284044\pi$
$17$			26.4707i			1.55710i	−0.627584	+	0.778549i	$0.715956\pi$
$18$	16.6891	+	6.74347i	0.927171	+	0.374637i
$19$	−12.4559	+	12.4559i	−0.655573	+	0.655573i	−0.954329	−	0.298757i	$-0.903428\pi$
$19$	−12.4559	+	12.4559i	−0.655573	+	0.655573i	0.298757	+	0.954329i	$0.403428\pi$
$20$	12.7784	+	1.87717i	0.638918	+	0.0938586i
$21$	0.277600	+	0.255819i	0.0132191	+	0.0121818i
$22$	−10.6581	−	32.1866i	−0.484457	−	1.46303i
$23$	11.0176	−	19.0831i	0.479028	−	0.829700i	−0.520683	−	0.853750i	$-0.674323\pi$
$23$	11.0176	−	19.0831i	0.479028	−	0.829700i	0.999711	+	0.0240499i	$0.00765606\pi$
$24$	11.0086	+	21.3263i	0.458691	+	0.888596i
$25$	12.6218	−	7.28718i	0.504870	−	0.291487i
$26$	31.9436	−	35.8798i	1.22860	−	1.37999i
$27$	−21.2806	−	16.6173i	−0.788172	−	0.615455i
$28$	0.0582258	+	0.499952i	0.00207949	+	0.0178554i
$29$	9.19097	−	34.3012i	0.316930	−	1.18280i	−0.605249	−	0.796036i	$-0.706927\pi$
$29$	9.19097	−	34.3012i	0.316930	−	1.18280i	0.922179	−	0.386763i	$-0.126407\pi$
$30$	−17.6513	−	7.98477i	−0.588375	−	0.266159i
$31$	−2.65318	+	4.59544i	−0.0855865	+	0.148240i	−0.905641	−	0.424045i	$-0.860610\pi$
$31$	−2.65318	+	4.59544i	−0.0855865	+	0.148240i	0.820054	+	0.572285i	$0.193943\pi$
$32$	−7.41200	+	31.1298i	−0.231625	+	0.972805i
$33$	2.07502	+	50.8156i	0.0628793	+	1.53987i
$34$	44.2379	−	29.0826i	1.30111	−	0.855370i
$35$	−0.287297	−	0.287297i	−0.00820848	−	0.00820848i
$36$	−7.06611	−	35.2997i	−0.196281	−	0.980548i
$37$	−22.6051	−	22.6051i	−0.610948	−	0.610948i	0.332245	−	0.943193i	$-0.392194\pi$
$37$	−22.6051	−	22.6051i	−0.610948	−	0.610948i	−0.943193	+	0.332245i	$0.892194\pi$
$38$	34.5012	+	7.13139i	0.907927	+	0.187668i
$39$	−60.8826	+	38.5454i	−1.56109	+	0.988344i
$40$	−10.9021	−	23.4176i	−0.272552	−	0.585441i
$41$	−13.0140	+	22.5410i	−0.317416	+	0.549780i	−0.979948	−	0.199253i	$-0.936148\pi$
$41$	−13.0140	+	22.5410i	−0.317416	+	0.549780i	0.662532	+	0.749033i	$0.269482\pi$
$42$	0.122533	−	0.744987i	0.00291746	−	0.0177378i
$43$	5.71880	−	21.3428i	0.132995	−	0.496345i	−0.867003	−	0.498303i	$-0.833957\pi$
$43$	5.71880	−	21.3428i	0.132995	−	0.496345i	0.999998	+	0.00195805i	$0.000623267\pi$
$44$	−42.0806	+	53.1742i	−0.956377	+	1.20851i
$45$	22.1554	+	18.8047i	0.492342	+	0.417882i
$46$	−43.9965	+	2.55335i	−0.956446	+	0.0555075i
$47$	13.6253	−	7.86657i	0.289900	−	0.167374i	−0.347997	−	0.937496i	$-0.613138\pi$
$47$	13.6253	−	7.86657i	0.289900	−	0.167374i	0.637897	+	0.770122i	$0.279805\pi$
$48$	23.5458	−	41.8282i	0.490537	−	0.871420i
$49$	−24.4921	+	42.4215i	−0.499838	+	0.865746i
$50$	−26.0455	−	13.0873i	−0.520910	−	0.261746i
$51$	−75.8037	+	23.6659i	−1.48635	+	0.464036i
$52$	−95.0579	−	13.9642i	−1.82804	−	0.268543i
$53$	19.5741	−	19.5741i	0.369322	−	0.369322i	−0.497908	−	0.867230i	$-0.665898\pi$
$53$	19.5741	−	19.5741i	0.369322	−	0.369322i	0.867230	+	0.497908i	$0.165898\pi$
$54$	−4.39045	+	53.8212i	−0.0813046	+	0.996689i
$55$		−	54.7380i		−	0.995237i
$56$	0.771551	−	0.646590i	0.0137777	−	0.0115463i
$57$	−46.8058	−	24.5337i	−0.821154	−	0.430415i
$58$	−67.4221	+	22.3257i	−1.16245	+	0.384926i
$59$	−14.4393	−	53.8883i	−0.244734	−	0.913361i	−0.973517	−	0.228616i	$-0.926580\pi$
$59$	−14.4393	−	53.8883i	−0.244734	−	0.913361i	0.728782	−	0.684745i	$-0.240087\pi$
$60$	6.04875	+	38.2715i	0.100812	+	0.637858i
$61$	74.0899	+	19.8523i	1.21459	+	0.325448i	0.808560	−	0.588413i	$-0.200247\pi$
$61$	74.0899	+	19.8523i	1.21459	+	0.325448i	0.406027	+	0.913861i	$0.366914\pi$
$62$	10.5949	−	0.614877i	0.170885	−	0.00991737i
$63$	−0.484398	+	1.02367i	−0.00768886	+	0.0162488i
$64$	60.1675	−	21.8144i	0.940118	−	0.340850i
$65$	67.1656	−	38.7781i	1.03332	−	0.596586i
$66$	82.6435	−	59.2974i	1.25217	−	0.898446i
$67$	−14.5188	−	54.1848i	−0.216698	−	0.808729i	−0.985562	−	0.169316i	$-0.945844\pi$
$67$	−14.5188	−	54.1848i	−0.216698	−	0.808729i	0.768863	−	0.639413i	$-0.220823\pi$
$68$	−97.2058	−	41.9783i	−1.42950	−	0.617328i
$69$	64.4982	+	14.4900i	0.934757	+	0.209999i
$70$	−0.164487	+	0.795776i	−0.00234981	+	0.0113682i
$71$	−10.7106			−0.150854			−0.0754270	−	0.997151i	$-0.524032\pi$
$71$	−10.7106			−0.150854			−0.0754270	+	0.997151i	$0.524032\pi$
$72$	−51.2297	+	50.5917i	−0.711523	+	0.702662i
$73$			98.0523i			1.34318i	0.740922	+	0.671591i	$0.234389\pi$
$73$			98.0523i			1.34318i	−0.740922	+	0.671591i	$0.765611\pi$
$74$	−12.9421	+	62.6132i	−0.174894	+	0.846125i
$75$	32.1525	+	29.6297i	0.428701	+	0.395063i
$76$	−25.9875	−	65.4936i	−0.341941	−	0.861758i
$77$	2.06051	−	0.552113i	0.0267599	−	0.00717030i
$78$	131.307	+	59.3985i	1.68343	+	0.761519i
$79$	1.02359	+	1.77291i	0.0129569	+	0.0224419i	0.872431	−	0.488737i	$-0.162542\pi$
$79$	1.02359	+	1.77291i	0.0129569	+	0.0224419i	−0.859474	+	0.511179i	$0.829209\pi$
$80$	−27.1578	+	43.9479i	−0.339473	+	0.549349i
$81$	28.5609	−	75.7976i	0.352604	−	0.935773i
$82$	51.9687	−	3.01601i	0.633765	−	0.0367807i
$83$	23.1271	−	86.3114i	0.278639	−	1.03990i	−0.674724	−	0.738070i	$-0.735737\pi$
$83$	23.1271	−	86.3114i	0.278639	−	1.03990i	0.953363	−	0.301826i	$-0.0975960\pi$
$84$	−1.37965	+	0.613718i	−0.0164244	+	0.00730617i
$85$	82.5582	−	22.1214i	0.971273	−	0.260252i
$86$	−41.9513	+	13.8915i	−0.487806	+	0.161529i
$87$	106.445	−	4.34659i	1.22350	−	0.0499608i
$88$	135.098	+	11.9043i	1.53520	+	0.135276i
$89$	−76.9719			−0.864853			−0.432427	−	0.901669i	$-0.642343\pi$
$89$	−76.9719			−0.864853			−0.432427	+	0.901669i	$0.642343\pi$
$90$	7.08493	−	57.6863i	0.0787214	−	0.640959i
$91$	2.13719	+	2.13719i	0.0234856	+	0.0234856i
$92$	52.6049	+	70.7218i	0.571792	+	0.768716i
$93$	−15.5320	−	3.48936i	−0.167010	−	0.0375200i
$94$	−28.1164	−	14.1279i	−0.299110	−	0.150297i
$95$	49.2574	+	28.4388i	0.518499	+	0.299356i
$96$	−95.7725	+	6.60563i	−0.997630	+	0.0688086i
$97$	19.6709	+	34.0710i	0.202793	+	0.351247i	0.949427	−	0.313987i	$-0.101665\pi$
$97$	19.6709	+	34.0710i	0.202793	+	0.351247i	−0.746635	+	0.665234i	$0.768332\pi$
$98$	97.8038	−	5.67606i	0.997998	−	0.0579190i
$99$	−143.665	+	51.3734i	−1.45116	+	0.518923i
$100$	6.74389	+	57.9060i	0.0674389	+	0.579060i
$101$	−134.186	−	35.9552i	−1.32858	−	0.355992i	−0.476394	−	0.879232i	$-0.658056\pi$
$101$	−134.186	−	35.9552i	−1.32858	−	0.355992i	−0.852185	+	0.523240i	$0.824723\pi$
$102$	122.834	+	100.682i	1.20425	+	0.987082i
$103$	39.0917	+	22.5696i	0.379531	+	0.219122i	0.677614	−	0.735418i	$-0.263014\pi$
$103$	39.0917	+	22.5696i	0.379531	+	0.219122i	−0.298083	+	0.954540i	$0.596347\pi$
$104$	81.1004	+	174.203i	0.779811	+	1.67503i
$105$	0.565872	−	1.07958i	0.00538926	−	0.0102817i
$106$	−54.2177	−	11.2068i	−0.511488	−	0.105724i
$107$	73.8367	−	73.8367i	0.690063	−	0.690063i	−0.272183	−	0.962246i	$-0.587746\pi$
$107$	73.8367	−	73.8367i	0.690063	−	0.690063i	0.962246	+	0.272183i	$0.0877455\pi$
$108$	94.7699	−	51.7945i	0.877499	−	0.479579i
$109$	13.8650	−	13.8650i	0.127202	−	0.127202i	−0.640640	−	0.767842i	$-0.721331\pi$
$109$	13.8650	−	13.8650i	0.127202	−	0.127202i	0.767842	+	0.640640i	$0.221331\pi$
$110$	−91.4784	+	60.1391i	−0.831622	+	0.546719i
$111$	44.5240	−	84.9437i	0.401117	−	0.765258i
$112$	−1.92826	−	0.579029i	−0.0172167	−	0.00516990i
$113$	−49.6608	−	28.6717i	−0.439476	−	0.253731i	0.263899	−	0.964550i	$-0.414991\pi$
$113$	−49.6608	−	28.6717i	−0.439476	−	0.253731i	−0.703375	+	0.710819i	$0.748325\pi$
$114$	10.4234	+	105.176i	0.0914336	+	0.922600i
$115$	−68.7248	−	18.4148i	−0.597607	−	0.160128i
$116$	111.385	+	88.1474i	0.960220	+	0.759891i
$117$	−164.814	−	139.887i	−1.40866	−	1.19562i
$118$	−74.1942	+	83.3366i	−0.628765	+	0.706242i
$119$	1.66544	+	2.88463i	0.0139953	+	0.0242406i
$120$	57.3138	−	52.1565i	0.477615	−	0.434637i
$121$	144.100	+	83.1962i	1.19091	+	0.687572i
$122$	−48.2231	−	145.630i	−0.395272	−	1.19369i
$123$	−76.1854	−	17.1156i	−0.619393	−	0.139151i
$124$	−12.6679	−	17.0307i	−0.102160	−	0.137344i
$125$	−90.3546	−	90.3546i	−0.722837	−	0.722837i
$126$	2.24296	−	0.315152i	0.0178013	−	0.00250120i
$127$	93.1714			0.733633			0.366816	−	0.930293i	$-0.380448\pi$
$127$	93.1714			0.733633			0.366816	+	0.930293i	$0.380448\pi$
$128$	−102.561	−	76.5853i	−0.801255	−	0.598323i
$129$	66.2320	−	2.70454i	0.513427	−	0.0209654i
$130$	−138.599	−	69.6430i	−1.06615	−	0.535716i
$131$	−23.1698	+	6.20834i	−0.176869	+	0.0473919i	−0.346167	−	0.938173i	$-0.612517\pi$
$131$	−23.1698	+	6.20834i	−0.176869	+	0.0473919i	0.169298	+	0.985565i	$0.445850\pi$
$132$	−189.896	−	72.9657i	−1.43861	−	0.552770i
$133$	−0.573693	+	2.14105i	−0.00431348	+	0.0160981i
$134$	−74.6025	+	83.7952i	−0.556735	+	0.625337i
$135$	−34.0428	+	80.2582i	−0.252169	+	0.594505i
$136$	36.6429	+	208.571i	0.269433	+	1.53361i
$137$	31.3293	+	54.2639i	0.228681	+	0.396087i	0.957417	−	0.288707i	$-0.0932254\pi$
$137$	31.3293	+	54.2639i	0.228681	+	0.396087i	−0.728736	+	0.684794i	$0.759892\pi$
$138$	−46.6466	−	123.709i	−0.338019	−	0.896444i
$139$	−10.3992	+	2.78647i	−0.0748147	+	0.0200465i	−0.296032	−	0.955178i	$-0.595664\pi$
$139$	−10.3992	+	2.78647i	−0.0748147	+	0.0200465i	0.221218	+	0.975224i	$0.428997\pi$
$140$	1.51062	−	0.599405i	0.0107901	−	0.00428147i
$141$	34.7089	+	31.9855i	0.246163	+	0.226848i
$142$	11.7675	+	17.8996i	0.0828694	+	0.126054i
$143$			407.195i			2.84752i
$144$	140.834	+	30.0316i	0.978011	+	0.208553i
$145$	−114.661			−0.790767
$146$	163.865	−	107.727i	1.12236	−	0.737857i
$147$	−143.379	−	32.2110i	−0.975366	−	0.219123i
$148$	118.859	−	47.1624i	0.803099	−	0.318665i
$149$	9.26799	+	34.5886i	0.0622013	+	0.232138i	0.990027	−	0.140875i	$-0.0449914\pi$
$149$	9.26799	+	34.5886i	0.0622013	+	0.232138i	−0.927826	+	0.373013i	$0.878325\pi$
$150$	14.1922	−	86.2868i	0.0946147	−	0.575245i
$151$	58.7226	−	33.9035i	0.388891	−	0.224526i	−0.292788	−	0.956177i	$-0.594583\pi$
$151$	58.7226	−	33.9035i	0.388891	−	0.224526i	0.681680	+	0.731651i	$0.261250\pi$
$152$	−80.9015	+	115.386i	−0.532247	+	0.759121i
$153$	−135.543	−	195.920i	−0.885903	−	1.28052i
$154$	−3.18652	−	2.83695i	−0.0206917	−	0.0184217i
$155$	16.5498	+	4.43450i	0.106773	+	0.0286097i
$156$	−44.9965	−	284.701i	−0.288439	−	1.82500i
$157$	67.5119	+	251.958i	0.430012	+	1.60483i	0.752728	+	0.658331i	$0.228737\pi$
$157$	67.5119	+	251.958i	0.430012	+	1.60483i	−0.322716	+	0.946496i	$0.604596\pi$
$158$	1.83831	−	3.65848i	0.0116349	−	0.0231549i
$159$	73.5540	+	38.5540i	0.462604	+	0.242478i
$160$	103.283	−	2.89801i	0.645521	−	0.0181126i
$161$		−	2.77276i		−	0.0172221i
$162$	−158.052	+	35.5455i	−0.975631	+	0.219417i
$163$	139.682	−	139.682i	0.856947	−	0.856947i	−0.134030	−	0.990977i	$-0.542792\pi$
$163$	139.682	−	139.682i	0.856947	−	0.856947i	0.990977	+	0.134030i	$0.0427920\pi$
$164$	−62.1369	−	83.5367i	−0.378884	−	0.509370i
$165$	156.752	−	48.9380i	0.950015	−	0.296594i
$166$	−169.653	+	56.1778i	−1.02201	+	0.338420i
$167$	146.617	−	253.948i	0.877946	−	1.52065i	0.0243553	−	0.999703i	$-0.492247\pi$
$167$	146.617	−	253.948i	0.877946	−	1.52065i	0.853591	−	0.520944i	$-0.174420\pi$
$168$	2.54143	+	1.63140i	0.0151276	+	0.00971072i
$169$	−353.285	+	203.969i	−2.09044	+	1.20692i
$170$	−127.674	−	113.667i	−0.751022	−	0.668632i
$171$	28.4104	−	155.971i	0.166143	−	0.912112i
$172$	69.3062	+	54.8470i	0.402943	+	0.318878i
$173$	76.0266	−	283.735i	0.439460	−	1.64009i	−0.290702	−	0.956814i	$-0.593889\pi$
$173$	76.0266	−	283.735i	0.439460	−	1.64009i	0.730162	−	0.683274i	$-0.239445\pi$
$174$	−124.212	−	173.115i	−0.713861	−	0.994916i
$175$	0.916966	−	1.58823i	0.00523981	−	0.00907561i
$176$	−128.534	−	238.855i	−0.730304	−	1.35713i
$177$	141.410	−	89.5280i	0.798925	−	0.505808i
$178$	84.5668	+	128.636i	0.475095	+	0.722673i
$179$	92.1924	+	92.1924i	0.515042	+	0.515042i	0.916067	−	0.401025i	$-0.131346\pi$
$179$	92.1924	+	92.1924i	0.515042	+	0.515042i	−0.401025	+	0.916067i	$0.631346\pi$
$180$	−104.190	+	51.5380i	−0.578831	+	0.286322i
$181$	−114.860	−	114.860i	−0.634587	−	0.634587i	0.314628	−	0.949215i	$-0.398120\pi$
$181$	−114.860	−	114.860i	−0.634587	−	0.634587i	−0.949215	+	0.314628i	$0.898120\pi$
$182$	1.22361	−	5.91976i	0.00672314	−	0.0325261i
$183$	9.38856	+	229.919i	0.0513036	+	1.25639i
$184$	60.3951	−	165.613i	0.328234	−	0.900073i
$185$	−51.6110	+	89.3929i	−0.278978	+	0.483205i
$186$	11.2331	+	29.7907i	0.0603929	+	0.160165i
$187$	−116.145	+	433.457i	−0.621094	+	2.31795i
$188$	7.28008	+	62.5100i	0.0387239	+	0.332500i
$189$	−3.36455	−	0.471958i	−0.0178018	−	0.00249713i
$190$	−6.59071	−	113.564i	−0.0346879	−	0.597705i
$191$	−21.1407	+	12.2056i	−0.110684	+	0.0639036i	−0.554320	−	0.832304i	$-0.687022\pi$
$191$	−21.1407	+	12.2056i	−0.110684	+	0.0639036i	0.443636	+	0.896207i	$0.353688\pi$
$192$	116.262	+	152.798i	0.605530	+	0.795822i
$193$	114.683	−	198.637i	0.594212	−	1.02921i	−0.399446	−	0.916757i	$-0.630797\pi$
$193$	114.683	−	198.637i	0.594212	−	1.02921i	0.993658	−	0.112449i	$-0.0358693\pi$
$194$	35.3277	−	70.3068i	0.182101	−	0.362406i
$195$	171.097	+	157.672i	0.877420	+	0.808574i
$196$	−116.940	−	157.214i	−0.596633	−	0.802112i
$197$	−21.4131	+	21.4131i	−0.108696	+	0.108696i	−0.759363	−	0.650667i	$-0.774489\pi$
$197$	−21.4131	+	21.4131i	−0.108696	+	0.108696i	0.650667	+	0.759363i	$0.274489\pi$
$198$	243.696	+	183.651i	1.23079	+	0.927528i
$199$		−	154.622i		−	0.776995i	−0.921450	−	0.388498i	$-0.872994\pi$
$199$		−	154.622i		−	0.776995i	0.921450	−	0.388498i	$-0.127006\pi$
$200$	89.3634	−	74.8901i	0.446817	−	0.374451i
$201$	142.188	−	90.0207i	0.707403	−	0.447864i
$202$	87.3384	+	263.756i	0.432368	+	1.30572i
$203$	−1.15653	−	4.31621i	−0.00569717	−	0.0212621i
$204$	33.3068	−	315.897i	0.163269	−	1.54851i
$205$	81.1778	+	21.7515i	0.395989	+	0.106105i
$206$	−5.23052	−	90.1267i	−0.0253909	−	0.437508i
$207$	16.1693	+	197.657i	0.0781127	+	0.954865i
$208$	202.027	−	326.927i	0.971281	−	1.57177i
$209$	−258.617	+	149.313i	−1.23740	+	0.714415i
$210$	−2.42591	+	0.240418i	−0.0115519	+	0.00114485i
$211$	33.5348	+	125.154i	0.158933	+	0.593146i	0.998736	+	0.0502551i	$0.0160035\pi$
$211$	33.5348	+	125.154i	0.158933	+	0.593146i	−0.839804	+	0.542890i	$0.817330\pi$
$212$	40.8386	+	102.921i	0.192635	+	0.485479i
$213$	−9.57574	−	30.6719i	−0.0449565	−	0.143999i
$214$	−204.518	−	42.2739i	−0.955694	−	0.197542i
$215$	−71.3444			−0.331835
$216$	−190.680	−	101.475i	−0.882778	−	0.469790i
$217$			0.667715i			0.00307703i
$218$	−38.4044	−	7.93817i	−0.176167	−	0.0364136i
$219$	−280.791	+	87.6627i	−1.28215	+	0.400286i
$220$	201.009	+	86.8059i	0.913679	+	0.394572i
$221$	−614.148	+	164.561i	−2.77895	+	0.744618i
$222$	−190.875	+	18.9166i	−0.859799	+	0.0852098i
$223$	−131.634	−	227.996i	−0.590286	−	1.02241i	−0.994194	−	0.107605i	$-0.965682\pi$
$223$	−131.634	−	227.996i	−0.590286	−	1.02241i	0.403908	−	0.914800i	$-0.367652\pi$
$224$	1.15085	+	3.85869i	0.00513774	+	0.0172263i
$225$	−56.1045	+	118.565i	−0.249353	+	0.526955i
$226$	6.64468	+	114.494i	0.0294012	+	0.506610i
$227$	−85.8746	+	320.488i	−0.378302	+	1.41184i	0.470157	+	0.882583i	$0.344197\pi$
$227$	−85.8746	+	320.488i	−0.378302	+	1.41184i	−0.848459	+	0.529260i	$0.822469\pi$
$228$	164.319	−	132.974i	0.720698	−	0.583219i
$229$	116.694	−	31.2680i	0.509580	−	0.136542i	0.00513753	−	0.999987i	$-0.498365\pi$
$229$	116.694	−	31.2680i	0.509580	−	0.136542i	0.504443	+	0.863445i	$0.331698\pi$
$230$	44.7312	+	135.085i	0.194483	+	0.587326i
$231$	3.42326	+	5.40705i	0.0148193	+	0.0234071i
$232$	24.9362	−	282.993i	0.107483	−	1.21980i
$233$	289.513			1.24254			0.621272	−	0.783595i	$-0.286616\pi$
$233$	289.513			1.24254			0.621272	+	0.783595i	$0.286616\pi$
$234$	−52.7046	+	429.127i	−0.225233	+	1.83388i
$235$	−35.9213	−	35.9213i	−0.152857	−	0.152857i
$236$	220.787	+	32.4342i	0.935540	+	0.137433i
$237$	−4.16193	+	4.51630i	−0.0175609	+	0.0190561i
$238$	2.99103	−	5.95255i	0.0125673	−	0.0250107i
$239$	−0.616801	−	0.356110i	−0.00258076	−	0.00149000i	0.498709	−	0.866769i	$-0.333808\pi$
$239$	−0.616801	−	0.356110i	−0.00258076	−	0.00149000i	−0.501290	+	0.865279i	$0.667141\pi$
$240$	−150.133	−	38.4803i	−0.625555	−	0.160335i
$241$	−14.9538	−	25.9007i	−0.0620488	−	0.107472i	0.833332	−	0.552772i	$-0.186430\pi$
$241$	−14.9538	−	25.9007i	−0.0620488	−	0.107472i	−0.895381	+	0.445301i	$0.853097\pi$
$242$	−19.2808	−	332.226i	−0.0796726	−	1.37283i
$243$	242.595	+	14.0234i	0.998333	+	0.0577094i
$244$	−190.397	+	240.591i	−0.780314	+	0.986027i
$245$	152.775	+	40.9358i	0.623570	+	0.167085i
$246$	55.0991	+	146.126i	0.223980	+	0.594007i
$247$	−366.425	−	211.555i	−1.48350	−	0.856500i
$248$	−14.5439	+	39.8817i	−0.0586447	+	0.160813i
$249$	267.845	−	10.9373i	1.07568	−	0.0439247i
$250$	−51.7309	+	250.271i	−0.206924	+	1.00108i
$251$	128.737	−	128.737i	0.512896	−	0.512896i	−0.402516	−	0.915413i	$-0.631864\pi$
$251$	128.737	−	128.737i	0.512896	−	0.512896i	0.915413	+	0.402516i	$0.131864\pi$
$252$	−2.99096	−	3.40219i	−0.0118689	−	0.0135008i
$253$	264.144	−	264.144i	1.04405	−	1.04405i
$254$	−102.365	−	155.708i	−0.403011	−	0.613025i
$255$	137.159	+	216.643i	0.537879	+	0.849581i
$256$	−15.3092	+	255.542i	−0.0598017	+	0.998210i
$257$	158.342	+	91.4186i	0.616115	+	0.355714i	0.775355	−	0.631526i	$-0.217571\pi$
$257$	158.342	+	91.4186i	0.616115	+	0.355714i	−0.159240	+	0.987240i	$0.550904\pi$
$258$	−77.2871	−	107.716i	−0.299562	−	0.417503i
$259$	−3.88561	−	1.04114i	−0.0150023	−	0.00401986i
$260$	35.8870	+	308.142i	0.138027	+	1.18516i
$261$	107.613	+	300.938i	0.412311	+	1.15302i
$262$	35.8314	+	31.9006i	0.136761	+	0.121758i
$263$	167.300	+	289.773i	0.636123	+	1.10180i	0.986276	+	0.165105i	$0.0527963\pi$
$263$	167.300	+	289.773i	0.636123	+	1.10180i	−0.350153	+	0.936693i	$0.613870\pi$
$264$	86.6928	+	397.520i	0.328382	+	1.50576i
$265$	−77.4067	−	44.6908i	−0.292101	−	0.168644i
$266$	4.20843	−	1.39355i	0.0158212	−	0.00523893i
$267$	−68.8160	−	220.423i	−0.257738	−	0.825556i
$268$	222.002	+	32.6127i	0.828367	+	0.121689i
$269$	−87.1516	−	87.1516i	−0.323984	−	0.323984i	0.526309	−	0.850293i	$-0.323575\pi$
$269$	−87.1516	−	87.1516i	−0.323984	−	0.323984i	−0.850293	+	0.526309i	$0.823575\pi$
$270$	171.530	−	31.2849i	0.635295	−	0.115870i
$271$	−479.619			−1.76981			−0.884907	−	0.465769i	$-0.845778\pi$
$271$	−479.619			−1.76981			−0.884907	+	0.465769i	$0.845778\pi$
$272$	308.306	−	290.389i	1.13348	−	1.06761i
$273$	−4.20951	+	8.03098i	−0.0154194	+	0.0294175i
$274$	56.2655	−	111.976i	0.205348	−	0.408671i
$275$	238.655	−	63.9474i	0.867837	−	0.232536i
$276$	−155.494	+	213.872i	−0.563385	+	0.774898i
$277$	82.0181	−	306.096i	0.296094	−	1.10504i	−0.644250	−	0.764815i	$-0.722830\pi$
$277$	82.0181	−	306.096i	0.296094	−	1.10504i	0.940344	−	0.340224i	$-0.110503\pi$
$278$	16.0821	+	14.3178i	0.0578493	+	0.0515030i
$279$	−3.89377	−	47.5983i	−0.0139562	−	0.170603i
$280$	−2.66140	−	1.86600i	−0.00950501	−	0.00666430i
$281$	−33.8559	−	58.6402i	−0.120484	−	0.208684i	0.799475	−	0.600700i	$-0.205111\pi$
$281$	−33.8559	−	58.6402i	−0.120484	−	0.208684i	−0.919959	+	0.392016i	$0.871778\pi$
$282$	15.3206	−	93.1473i	0.0543284	−	0.330310i
$283$	288.091	−	77.1937i	1.01799	−	0.272769i	0.289025	−	0.957322i	$-0.406669\pi$
$283$	288.091	−	77.1937i	1.01799	−	0.272769i	0.728964	+	0.684552i	$0.240002\pi$
$284$	16.9854	−	39.3316i	0.0598077	−	0.138492i
$285$	−37.4016	+	166.483i	−0.131234	+	0.584151i
$286$	680.505	−	447.373i	2.37939	−	1.56424i
$287$			3.27519i			0.0114118i
$288$	−104.541	−	268.356i	−0.362989	−	0.931793i
$289$	−411.696			−1.42455
$290$	125.975	+	191.622i	0.434396	+	0.660766i
$291$	−79.9819	+	86.7920i	−0.274852	+	0.298254i
$292$	−360.068	−	155.495i	−1.23311	−	0.532519i
$293$	68.5842	+	255.960i	0.234076	+	0.873582i	0.978563	+	0.205946i	$0.0660271\pi$
$293$	68.5842	+	255.960i	0.234076	+	0.873582i	−0.744488	+	0.667636i	$0.767306\pi$
$294$	103.695	+	275.005i	0.352704	+	0.935390i
$295$	−156.003	+	90.0683i	−0.528824	+	0.305316i
$296$	−209.405	−	146.821i	−0.707448	−	0.496017i
$297$	−275.559	−	365.481i	−0.927809	−	1.23057i
$298$	47.6221	−	53.4902i	0.159806	−	0.179497i
$299$	511.242	+	136.987i	1.70984	+	0.458150i
$300$	−159.795	+	71.0827i	−0.532651	+	0.236942i
$301$	−0.719613	−	2.68563i	−0.00239074	−	0.00892236i
$302$	−121.176	−	60.8886i	−0.401246	−	0.201618i
$303$	−17.0039	−	416.413i	−0.0561185	−	1.37430i
$304$	281.718	+	8.43116i	0.926705	+	0.0277341i
$305$		−	247.666i		−	0.812020i
$306$	−178.504	+	441.771i	−0.583347	+	1.44370i
$307$	314.665	−	314.665i	1.02497	−	1.02497i	0.0252880	−	0.999680i	$-0.491950\pi$
$307$	314.665	−	314.665i	1.02497	−	1.02497i	0.999680	−	0.0252880i	$-0.00805028\pi$
$308$	−1.24018	+	8.44219i	−0.00402655	+	0.0274097i
$309$	−29.6827	+	132.124i	−0.0960604	+	0.427587i
$310$	−10.7718	−	32.5301i	−0.0347478	−	0.104936i
$311$	−191.301	+	331.343i	−0.615115	+	1.06541i	0.375249	+	0.926924i	$0.377557\pi$
$311$	−191.301	+	331.343i	−0.615115	+	1.06541i	−0.990364	+	0.138486i	$0.955776\pi$
$312$	−426.356	+	387.991i	−1.36653	+	1.24356i
$313$	7.19769	−	4.15559i	0.0229958	−	0.0132766i	−0.488458	−	0.872587i	$-0.662440\pi$
$313$	7.19769	−	4.15559i	0.0229958	−	0.0132766i	0.511454	+	0.859311i	$0.329107\pi$
$314$	346.899	−	389.645i	1.10478	−	1.24091i
$315$	3.59750	+	0.655290i	0.0114206	+	0.00208028i
$316$	−8.13376	+	0.947279i	−0.0257397	+	0.00299772i
$317$	15.0158	−	56.0396i	0.0473684	−	0.176781i	−0.938189	−	0.346124i	$-0.887498\pi$
$317$	15.0158	−	56.0396i	0.0473684	−	0.176781i	0.985557	+	0.169343i	$0.0541644\pi$
$318$	−16.3801	−	165.282i	−0.0515099	−	0.519754i
$319$	301.004	−	521.355i	0.943587	−	1.63434i
$320$	−118.318	−	169.424i	−0.369743	−	0.529449i
$321$	277.458	+	145.432i	0.864355	+	0.453059i
$322$	−4.63385	+	3.04635i	−0.0143908	+	0.00946072i
$323$	−329.715	−	329.715i	−1.02079	−	1.02079i
$324$	233.051	+	225.085i	0.719294	+	0.694706i
$325$	247.536	+	247.536i	0.761650	+	0.761650i
$326$	−386.903	−	79.9727i	−1.18682	−	0.245315i
$327$	52.1009	+	27.3092i	0.159330	+	0.0835143i
$328$	−71.3388	+	195.623i	−0.217496	+	0.596411i
$329$	0.989873	−	1.71451i	0.00300873	−	0.00521128i
$330$	−254.005	−	208.198i	−0.769711	−	0.630904i
$331$	−115.768	+	432.052i	−0.349752	+	1.30529i	0.537208	+	0.843450i	$0.319479\pi$
$331$	−115.768	+	432.052i	−0.349752	+	1.30529i	−0.886961	+	0.461844i	$0.847188\pi$
$332$	280.277	+	221.804i	0.844209	+	0.668083i
$333$	283.058	+	51.5595i	0.850024	+	0.154833i
$334$	−585.483	+	33.9786i	−1.75294	+	0.101732i
$335$	−156.861	+	90.5640i	−0.468243	+	0.270340i
$336$	−0.0657913	−	6.03962i	−0.000195807	−	0.0179751i
$337$	−58.1836	+	100.777i	−0.172651	+	0.299041i	−0.939346	−	0.342971i	$-0.888567\pi$
$337$	−58.1836	+	100.777i	−0.172651	+	0.299041i	0.766695	+	0.642012i	$0.221900\pi$
$338$	729.018	+	366.316i	2.15686	+	1.08378i
$339$	37.7078	−	167.846i	0.111233	−	0.495122i
$340$	−49.6900	+	338.252i	−0.146147	+	0.994858i
$341$	−63.6091	+	63.6091i	−0.186537	+	0.186537i
$342$	−291.873	+	123.881i	−0.853430	+	0.362226i
$343$			12.3296i			0.0359464i
$344$	15.5158	−	176.084i	0.0451040	−	0.511871i
$345$	−8.70871	−	213.270i	−0.0252426	−	0.618173i
$346$	−557.707	+	184.676i	−1.61187	+	0.533745i
$347$	−121.585	−	453.760i	−0.350388	−	1.30767i	−0.886190	−	0.463322i	$-0.846657\pi$
$347$	−121.585	−	453.760i	−0.350388	−	1.30767i	0.535802	−	0.844343i	$-0.320009\pi$
$348$	−152.843	+	397.780i	−0.439204	+	1.14305i
$349$	−461.226	−	123.585i	−1.32157	−	0.354112i	−0.472001	−	0.881598i	$-0.656468\pi$
$349$	−461.226	−	123.585i	−1.32157	−	0.354112i	−0.849564	+	0.527486i	$0.823135\pi$
$350$	−3.66170	+	0.212508i	−0.0104620	+	0.000607165i
$351$	253.244	−	597.039i	0.721492	−	1.70097i
$352$	−257.959	+	477.229i	−0.732837	+	1.35576i
$353$	−166.903	+	96.3615i	−0.472813	+	0.272979i	−0.717417	−	0.696644i	$-0.754676\pi$
$353$	−166.903	+	96.3615i	−0.472813	+	0.272979i	0.244604	+	0.969623i	$0.421342\pi$
$354$	−304.982	−	137.963i	−0.861532	−	0.389725i
$355$	8.95082	+	33.4049i	0.0252136	+	0.0940983i
$356$	122.065	−	282.657i	0.342880	−	0.793980i
$357$	−6.77169	+	7.34827i	−0.0189683	+	0.0205834i
$358$	52.7832	−	255.361i	0.147439	−	0.713300i
$359$	−351.048			−0.977851			−0.488925	−	0.872326i	$-0.662611\pi$
$359$	−351.048			−0.977851			−0.488925	+	0.872326i	$0.662611\pi$
$360$	200.601	+	117.499i	0.557224	+	0.326386i
$361$			50.7021i			0.140449i
$362$	−65.7612	+	318.148i	−0.181661	+	0.878863i
$363$	−109.416	+	487.038i	−0.301422	+	1.34170i
$364$	−11.2375	+	4.45896i	−0.0308722	+	0.0122499i
$365$	305.811	−	81.9418i	0.837838	−	0.224498i
$366$	373.926	−	268.295i	1.02166	−	0.733047i
$367$	−227.733	−	394.445i	−0.620526	−	1.07478i	−0.989388	−	0.145298i	$-0.953586\pi$
$367$	−227.733	−	394.445i	−0.620526	−	1.07478i	0.368862	−	0.929484i	$-0.379747\pi$
$368$	−343.128	+	81.0222i	−0.932414	+	0.220169i
$369$	−19.0992	−	233.473i	−0.0517594	−	0.632718i
$370$	206.097	−	11.9609i	0.557020	−	0.0323267i
$371$	0.901543	−	3.36460i	0.00243004	−	0.00906901i
$372$	37.4449	−	51.5030i	0.100658	−	0.138449i
$373$	−568.591	+	152.354i	−1.52437	+	0.408455i	−0.921179	−	0.389139i	$-0.872773\pi$
$373$	−568.591	+	152.354i	−1.52437	+	0.408455i	−0.603195	+	0.797594i	$0.706106\pi$
$374$	852.000	−	282.126i	2.27807	−	0.754347i
$375$	177.966	−	339.528i	0.474577	−	0.905408i
$376$	96.4686	−	80.8445i	0.256565	−	0.215012i
$377$	852.962			2.26250
$378$	2.90779	+	6.14137i	0.00769257	+	0.0162470i
$379$	−185.274	−	185.274i	−0.488851	−	0.488851i	0.419093	−	0.907943i	$-0.362348\pi$
$379$	−185.274	−	185.274i	−0.488851	−	0.488851i	−0.907943	+	0.419093i	$0.862348\pi$
$380$	−182.548	+	135.784i	−0.480388	+	0.357326i
$381$	83.2990	+	266.813i	0.218633	+	0.700298i
$382$	43.6247	+	21.9205i	0.114201	+	0.0573834i
$383$	−277.854	−	160.419i	−0.725467	−	0.418848i	0.0912948	−	0.995824i	$-0.470899\pi$
$383$	−277.854	−	160.419i	−0.725467	−	0.418848i	−0.816761	+	0.576976i	$0.804233\pi$
$384$	127.623	−	362.172i	0.332351	−	0.943156i
$385$	−3.44392	−	5.96505i	−0.00894525	−	0.0154936i
$386$	−457.961	+	26.5779i	−1.18643	+	0.0688546i
$387$	66.9591	+	187.250i	0.173021	+	0.483849i
$388$	−156.311	+	18.2043i	−0.402862	+	0.0469184i
$389$	−390.762	−	104.704i	−1.00453	−	0.269163i	−0.281188	−	0.959653i	$-0.590728\pi$
$389$	−390.762	−	104.704i	−1.00453	−	0.269163i	−0.723342	+	0.690490i	$0.757395\pi$
$390$	75.5226	−	459.167i	0.193648	−	1.17735i
$391$	505.142	+	291.644i	1.29192	+	0.745893i
$392$	−134.258	+	368.157i	−0.342494	+	0.939176i
$393$	−38.4935	−	60.8006i	−0.0979479	−	0.154709i
$394$	59.3117	+	12.2597i	0.150537	+	0.0311160i
$395$	4.67405	−	4.67405i	0.0118330	−	0.0118330i
$396$	39.1759	−	609.037i	0.0989291	−	1.53797i
$397$	314.667	−	314.667i	0.792612	−	0.792612i	−0.189306	−	0.981918i	$-0.560624\pi$
$397$	314.667	−	314.667i	0.792612	−	0.792612i	0.981918	+	0.189306i	$0.0606239\pi$
$398$	−258.405	+	169.879i	−0.649259	+	0.426831i
$399$	−6.64420	+	0.271311i	−0.0166521	+	0.000679978i
$400$	−223.338	−	67.0649i	−0.558344	−	0.167662i
$401$	147.995	+	85.4451i	0.369065	+	0.213080i	0.673050	−	0.739597i	$-0.264984\pi$
$401$	147.995	+	85.4451i	0.369065	+	0.213080i	−0.303985	+	0.952677i	$0.598317\pi$
$402$	−306.661	−	138.722i	−0.762838	−	0.345079i
$403$	−123.113	−	32.9881i	−0.305492	−	0.0818564i
$404$	344.833	−	435.741i	0.853548	−	1.07857i
$405$	−260.270	−	25.7338i	−0.642642	−	0.0635402i
$406$	−5.94263	+	6.67489i	−0.0146370	+	0.0164406i
$407$	−270.975	−	469.342i	−0.665785	−	1.15317i
$408$	−564.521	+	291.405i	−1.38363	+	0.714227i
$409$	−263.338	−	152.038i	−0.643858	−	0.371732i	0.142241	−	0.989832i	$-0.454569\pi$
$409$	−263.338	−	152.038i	−0.643858	−	0.371732i	−0.786099	+	0.618100i	$0.787902\pi$
$410$	−52.8365	−	159.562i	−0.128870	−	0.389177i
$411$	−127.385	+	138.231i	−0.309940	+	0.336329i
$412$	−144.874	+	107.761i	−0.351635	+	0.261556i
$413$	−4.96398	−	4.96398i	−0.0120193	−	0.0120193i
$414$	312.561	−	244.182i	0.754977	−	0.589813i
$415$	−288.520			−0.695229
$416$	−768.323	+	21.5582i	−1.84693	+	0.0518227i
$417$	−17.2769	−	27.2890i	−0.0414315	−	0.0654411i
$418$	533.667	+	268.157i	1.27672	+	0.641523i
$419$	344.966	−	92.4334i	0.823308	−	0.220605i	0.177516	−	0.984118i	$-0.443194\pi$
$419$	344.966	−	92.4334i	0.823308	−	0.220605i	0.645792	+	0.763513i	$0.276527\pi$
$420$	3.06706	+	3.79005i	0.00730253	+	0.00902392i
$421$	−121.846	+	454.736i	−0.289421	+	1.08013i	0.656127	+	0.754651i	$0.272194\pi$
$421$	−121.846	+	454.736i	−0.289421	+	1.08013i	−0.945548	+	0.325483i	$0.894473\pi$
$422$	172.314	−	193.546i	0.408326	−	0.458641i
$423$	−60.5653	+	127.992i	−0.143180	+	0.302581i
$424$	127.134	−	181.327i	0.299845	−	0.427657i
$425$	192.896	+	334.106i	0.453874	+	0.786133i
$426$	−40.7383	+	49.7013i	−0.0956299	+	0.116670i
$427$	9.32294	−	2.49807i	0.0218336	−	0.00585029i
$428$	154.050	+	388.237i	0.359930	+	0.907096i
$429$	−1166.08	+	364.049i	−2.71813	+	0.848598i
$430$	78.3841	+	119.231i	0.182289	+	0.277282i
$431$		−	5.42582i		−	0.0125889i	−0.999980	−	0.00629445i	$-0.997996\pi$
$431$		−	5.42582i		−	0.0125889i	0.999980	−	0.00629445i	$-0.00200360\pi$
$432$	39.9099	+	430.153i	0.0923841	+	0.995723i
$433$	229.597			0.530246			0.265123	−	0.964215i	$-0.414587\pi$
$433$	229.597			0.530246			0.265123	+	0.964215i	$0.414587\pi$
$434$	1.11589	−	0.733599i	0.00257117	−	0.00169032i
$435$	−102.512	−	328.354i	−0.235659	−	0.754836i
$436$	28.9275	+	72.9030i	0.0663474	+	0.167209i
$437$	100.462	+	374.931i	0.229891	+	0.857966i
$438$	454.999	+	372.946i	1.03881	+	0.851475i
$439$	586.491	−	338.611i	1.33597	−	0.771323i	0.349763	−	0.936838i	$-0.386262\pi$
$439$	586.491	−	338.611i	1.33597	−	0.771323i	0.986207	+	0.165515i	$0.0529287\pi$
$440$	−75.7728	−	431.299i	−0.172211	−	0.980224i
$441$	−35.9442	−	439.390i	−0.0815062	−	0.996349i
$442$	949.762	+	845.569i	2.14878	+	1.91305i
$443$	321.722	+	86.2050i	0.726234	+	0.194594i	0.602951	−	0.797778i	$-0.293991\pi$
$443$	321.722	+	86.2050i	0.726234	+	0.194594i	0.123282	+	0.992372i	$0.460658\pi$
$444$	241.323	+	298.208i	0.543520	+	0.671641i
$445$	64.3250	+	240.064i	0.144551	+	0.539470i
$446$	−236.406	+	470.480i	−0.530058	+	1.05489i
$447$	−90.7649	+	57.4642i	−0.203053	+	0.128555i
$448$	5.18424	−	6.16274i	0.0115720	−	0.0137561i
$449$			456.248i			1.01614i	0.861315	+	0.508072i	$0.169642\pi$
$449$			456.248i			1.01614i	−0.861315	+	0.508072i	$0.830358\pi$
$450$	259.787	−	36.5019i	0.577303	−	0.0811153i
$451$	−312.007	+	312.007i	−0.691812	+	0.691812i
$452$	184.042	−	136.896i	0.407173	−	0.302867i
$453$	149.589	+	137.852i	0.330219	+	0.304309i
$454$	629.949	−	208.597i	1.38755	−	0.459466i
$455$	4.87956	−	8.45164i	0.0107243	−	0.0185750i
$456$	−402.759	−	128.516i	−0.883244	−	0.281834i
$457$	221.668	−	127.980i	0.485051	−	0.280044i	−0.237468	−	0.971395i	$-0.576317\pi$
$457$	221.668	−	127.980i	0.485051	−	0.280044i	0.722519	+	0.691351i	$0.242984\pi$
$458$	−180.463	−	160.666i	−0.394025	−	0.350799i
$459$	439.871	−	563.313i	0.958324	−	1.22726i
$460$	176.610	−	223.169i	0.383934	−	0.485150i
$461$	−56.7956	+	211.964i	−0.123201	+	0.459792i	−0.999769	−	0.0214855i	$-0.993160\pi$
$461$	−56.7956	+	211.964i	−0.123201	+	0.459792i	0.876568	+	0.481278i	$0.159827\pi$
$462$	5.27524	−	11.6615i	0.0114183	−	0.0252414i
$463$	−364.839	+	631.920i	−0.787990	+	1.36484i	0.139207	+	0.990263i	$0.455545\pi$
$463$	−364.839	+	631.920i	−0.787990	+	1.36484i	−0.927197	+	0.374575i	$0.877789\pi$
$464$	−500.335	+	269.243i	−1.07831	+	0.580264i
$465$	2.09716	+	51.3580i	0.00451003	+	0.110447i
$466$	−318.079	−	483.835i	−0.682573	−	1.03827i
$467$	−368.129	−	368.129i	−0.788285	−	0.788285i	0.192928	−	0.981213i	$-0.438202\pi$
$467$	−368.129	−	368.129i	−0.788285	−	0.788285i	−0.981213	+	0.192928i	$0.938202\pi$
$468$	775.064	−	383.390i	1.65612	−	0.819209i
$469$	−4.99129	−	4.99129i	−0.0106424	−	0.0106424i
$470$	−20.5661	+	99.4975i	−0.0437577	+	0.211697i
$471$	−661.170	+	418.593i	−1.40376	+	0.888733i
$472$	−188.369	−	404.615i	−0.399086	−	0.857236i
$473$	187.291	−	324.397i	0.395963	−	0.685829i
$474$	12.1203	+	1.99350i	0.0255701	+	0.00420571i
$475$	−66.4469	+	247.983i	−0.139888	+	0.522070i
$476$	−13.2341	+	1.54127i	−0.0278027	+	0.00323797i
$477$	−44.6461	+	245.104i	−0.0935978	+	0.513845i
$478$	0.0825289	+	1.42205i	0.000172655	+	0.00297500i
$479$	−341.192	+	196.987i	−0.712300	+	0.411247i	−0.811912	−	0.583780i	$-0.801573\pi$
$479$	−341.192	+	196.987i	−0.712300	+	0.411247i	0.0996121	+	0.995026i	$0.468240\pi$
$480$	100.639	+	293.180i	0.209664	+	0.610792i
$481$	383.933	−	664.992i	0.798198	−	1.38252i
$482$	−26.8560	+	53.4471i	−0.0557179	+	0.110886i
$483$	7.94031	−	2.47896i	0.0164396	−	0.00513242i
$484$	−534.033	+	397.229i	−1.10337	+	0.820721i
$485$	89.8235	−	89.8235i	0.185203	−	0.185203i
$486$	−243.096	−	420.833i	−0.500198	−	0.865911i
$487$			549.648i			1.12864i	0.825556	+	0.564320i	$0.190862\pi$
$487$			549.648i			1.12864i	−0.825556	+	0.564320i	$0.809138\pi$
$488$	611.259	+	53.8617i	1.25258	+	0.110372i
$489$	524.888	+	275.125i	1.07339	+	0.562627i
$490$	−99.4369	−	300.292i	−0.202932	−	0.612842i
$491$	80.5657	+	300.675i	0.164085	+	0.612374i	0.998155	+	0.0607152i	$0.0193381\pi$
$491$	80.5657	+	300.675i	0.164085	+	0.612374i	−0.834070	+	0.551658i	$0.813995\pi$
$492$	183.670	−	252.626i	0.373313	−	0.513467i
$493$	907.974	+	243.291i	1.84173	+	0.493491i
$494$	49.0281	+	844.800i	0.0992472	+	1.71012i
$495$	280.286	+	405.137i	0.566235	+	0.818459i
$496$	82.6295	−	19.5111i	0.166592	−	0.0393370i
$497$	−1.16718	+	0.673874i	−0.00234846	+	0.00135588i
$498$	−312.552	−	435.607i	−0.627615	−	0.874713i
$499$	18.9567	+	70.7474i	0.0379894	+	0.141778i	0.982316	−	0.187232i	$-0.0599516\pi$
$499$	18.9567	+	70.7474i	0.0379894	+	0.141778i	−0.944326	+	0.329010i	$0.893285\pi$
$500$	475.089	−	188.513i	0.950178	−	0.377025i
$501$	858.309	+	192.825i	1.71319	+	0.384880i
$502$	−356.585	−	73.7061i	−0.710329	−	0.146825i
$503$	−444.742			−0.884178			−0.442089	−	0.896971i	$-0.645763\pi$
$503$	−444.742			−0.884178			−0.442089	+	0.896971i	$0.645763\pi$
$504$	−2.39968	+	8.73639i	−0.00476127	+	0.0173341i
$505$			448.556i			0.888229i
$506$	−731.646	−	151.231i	−1.44594	−	0.298876i
$507$	−899.954	−	829.340i	−1.77506	−	1.63578i
$508$	−147.755	+	342.145i	−0.290857	+	0.673513i
$509$	636.068	−	170.434i	1.24964	−	0.334841i	0.427444	−	0.904042i	$-0.359414\pi$
$509$	636.068	−	170.434i	1.24964	−	0.334841i	0.822199	+	0.569201i	$0.192747\pi$
$510$	211.362	−	467.241i	0.414436	−	0.916158i
$511$	6.16910	+	10.6852i	0.0120726	+	0.0209104i
$512$	443.882	−	255.172i	0.866958	−	0.498382i
$513$	472.052	−	58.0861i	0.920179	−	0.113228i
$514$	−21.1863	−	365.060i	−0.0412185	−	0.710234i
$515$	37.7226	−	140.783i	0.0732478	−	0.273364i
$516$	−95.1020	+	247.507i	−0.184306	+	0.479664i
$517$	257.630	−	69.0318i	0.498317	−	0.133524i
$518$	2.52904	+	7.63751i	0.00488231	+	0.0147442i
$519$	880.499	−	35.9545i	1.69653	−	0.0692765i
$520$	475.540	−	398.521i	0.914500	−	0.766387i
$521$	297.577			0.571164			0.285582	−	0.958354i	$-0.407813\pi$
$521$	297.577			0.571164			0.285582	+	0.958354i	$0.407813\pi$
$522$	384.698	−	510.476i	0.736969	−	0.977923i
$523$	694.715	+	694.715i	1.32833	+	1.32833i	0.906830	+	0.421496i	$0.138495\pi$
$523$	694.715	+	694.715i	1.32833	+	1.32833i	0.421496	+	0.906830i	$0.361505\pi$
$524$	13.9454	−	94.9299i	0.0266134	−	0.181164i
$525$	5.36800	+	1.20596i	0.0102248	+	0.00229706i
$526$	300.461	−	597.958i	0.571219	−	1.13680i
$527$	−121.644	−	70.2315i	−0.230824	−	0.133267i
$528$	569.090	−	581.625i	1.07782	−	1.10156i
$529$	21.7235	+	37.6262i	0.0410652	+	0.0711271i
$530$	10.3571	+	178.463i	0.0195417	+	0.336722i
$531$	382.806	+	324.911i	0.720915	+	0.611886i
$532$	−6.95260	−	5.50209i	−0.0130688	−	0.0103423i
$533$	−603.880	−	161.809i	−1.13298	−	0.303582i
$534$	−292.766	+	357.178i	−0.548251	+	0.668873i
$535$	−291.991	−	168.581i	−0.545778	−	0.315105i
$536$	−189.405	−	406.842i	−0.353368	−	0.759033i
$537$	−181.586	+	346.434i	−0.338150	+	0.645128i
$538$	−49.8971	+	241.399i	−0.0927456	+	0.448697i
$539$	−587.190	+	587.190i	−1.08941	+	1.08941i
$540$	−240.738	−	252.289i	−0.445812	−	0.467202i
$541$	84.7467	−	84.7467i	0.156648	−	0.156648i	−0.624431	−	0.781080i	$-0.714669\pi$
$541$	84.7467	−	84.7467i	0.156648	−	0.156648i	0.781080	+	0.624431i	$0.214669\pi$
$542$	526.944	+	801.542i	0.972221	+	1.47886i
$543$	226.234	−	431.613i	0.416637	−	0.794868i
$544$	−824.026	−	196.201i	−1.51475	−	0.360663i
$545$	−54.8299	−	31.6561i	−0.100605	−	0.0580845i
$546$	18.0463	−	1.78846i	0.0330518	−	0.00327557i
$547$	808.116	+	216.534i	1.47736	+	0.395858i	0.905448	−	0.424457i	$-0.139535\pi$
$547$	808.116	+	216.534i	1.47736	+	0.395858i	0.571912	+	0.820315i	$0.306202\pi$
$548$	−248.952	+	28.9936i	−0.454291	+	0.0529080i
$549$	−650.021	+	232.443i	−1.18401	+	0.423393i
$550$	−369.073	−	328.584i	−0.671041	−	0.597425i
$551$	312.769	+	541.733i	0.567640	+	0.983181i
$552$	528.260	+	24.8875i	0.956994	+	0.0450860i
$553$	0.223091	+	0.128801i	0.000403419	+	0.000232914i
$554$	−601.659	+	199.230i	−1.08603	+	0.359620i
$555$	−302.135	−	67.8768i	−0.544388	−	0.122301i
$556$	6.25908	−	42.6071i	0.0112573	−	0.0766315i
$557$	−223.985	−	223.985i	−0.402127	−	0.402127i	0.476855	−	0.878982i	$-0.341777\pi$
$557$	−223.985	−	223.985i	−0.402127	−	0.402127i	−0.878982	+	0.476855i	$0.841777\pi$
$558$	−75.2684	+	58.8021i	−0.134890	+	0.105380i
$559$	530.730			0.949427
$560$	−0.194466	+	6.49787i	−0.000347261	+	0.0116033i
$561$	−1345.12	+	54.9271i	−2.39772	+	0.0979092i
$562$	−60.8032	+	121.006i	−0.108191	+	0.215314i
$563$	−597.193	+	160.017i	−1.06073	+	0.284223i	−0.746680	−	0.665183i	$-0.768354\pi$
$563$	−597.193	+	160.017i	−1.06073	+	0.284223i	−0.314053	+	0.949406i	$0.601687\pi$
$564$	−172.500	+	76.7344i	−0.305852	+	0.136054i
$565$	−47.9215	+	178.845i	−0.0848168	+	0.316541i
$566$	−445.523	−	396.648i	−0.787144	−	0.700791i
$567$	−1.65650	−	10.0570i	−0.00292152	−	0.0177371i
$568$	−84.3925	+	14.8265i	−0.148578	+	0.0261030i
$569$	−538.550	−	932.795i	−0.946485	−	1.63936i	−0.752751	−	0.658305i	$-0.771274\pi$
$569$	−538.550	−	932.795i	−0.946485	−	1.63936i	−0.193733	−	0.981054i	$-0.562060\pi$
$570$	319.319	−	120.405i	0.560209	−	0.211236i
$571$	−51.6444	+	13.8381i	−0.0904455	+	0.0242348i	−0.303758	−	0.952749i	$-0.598241\pi$
$571$	−51.6444	+	13.8381i	−0.0904455	+	0.0242348i	0.213313	+	0.976984i	$0.431575\pi$
$572$	−1495.30	−	645.747i	−2.61417	−	1.12893i
$573$	−53.8536	−	49.6280i	−0.0939853	−	0.0866108i
$574$	5.47351	−	3.59835i	0.00953572	−	0.00626891i
$575$		−	321.150i		−	0.558521i
$576$	−333.622	+	469.545i	−0.579205	+	0.815182i
$577$	−404.152			−0.700436			−0.350218	−	0.936668i	$-0.613893\pi$
$577$	−404.152			−0.700436			−0.350218	+	0.936668i	$0.613893\pi$
$578$	452.319	+	688.028i	0.782559	+	1.19036i
$579$	671.364	+	150.827i	1.15952	+	0.260495i
$580$	181.835	−	421.060i	0.313508	−	0.725965i
$581$	−2.91014	−	10.8608i	−0.00500885	−	0.0186933i
$582$	232.921	+	38.3102i	0.400208	+	0.0658251i
$583$	406.410	−	234.641i	0.697101	−	0.402472i
$584$	135.732	+	772.586i	0.232418	+	1.32292i
$585$	−298.555	+	630.933i	−0.510351	+	1.07852i
$586$	352.409	−	395.833i	0.601381	−	0.675484i
$587$	−490.901	−	131.537i	−0.836289	−	0.224083i	−0.184833	−	0.982770i	$-0.559175\pi$
$587$	−490.901	−	131.537i	−0.836289	−	0.224083i	−0.651455	+	0.758687i	$0.725841\pi$
$588$	345.662	−	475.435i	0.587860	−	0.808563i
$589$	−24.1926	−	90.2880i	−0.0410740	−	0.153290i
$590$	321.918	+	161.757i	0.545625	+	0.274165i
$591$	−80.4647	−	42.1763i	−0.136150	−	0.0713643i
$592$	−15.3010	+	511.266i	−0.0258462	+	0.863624i
$593$			384.676i			0.648695i	0.945938	+	0.324347i	$0.105145\pi$
$593$			384.676i			0.648695i	−0.945938	+	0.324347i	$0.894855\pi$
$594$	−308.043	+	862.059i	−0.518591	+	1.45128i
$595$	7.60493	−	7.60493i	0.0127814	−	0.0127814i
$596$	−141.714	−	20.8181i	−0.237775	−	0.0349297i
$597$	442.789	−	138.238i	0.741690	−	0.231555i
$598$	−332.754	−	1004.89i	−0.556445	−	1.68042i
$599$	326.242	−	565.067i	0.544644	−	0.943351i	−0.453985	−	0.891009i	$-0.649998\pi$
$599$	326.242	−	565.067i	0.544644	−	0.943351i	0.998629	−	0.0523418i	$-0.0166685\pi$
$600$	294.356	+	188.954i	0.490594	+	0.314923i
$601$	−31.4347	+	18.1488i	−0.0523040	+	0.0301977i	−0.525924	−	0.850532i	$-0.676280\pi$
$601$	−31.4347	+	18.1488i	−0.0523040	+	0.0301977i	0.473620	+	0.880729i	$0.342947\pi$
$602$	−3.69762	+	4.15325i	−0.00614222	+	0.00689908i
$603$	384.913	+	326.699i	0.638329	+	0.541790i
$604$	31.3758	+	269.407i	0.0519468	+	0.446038i
$605$	139.053	−	518.954i	0.229840	−	0.857775i
$606$	−677.229	+	485.918i	−1.11754	+	0.801845i
$607$	−411.210	+	712.236i	−0.677446	+	1.17337i	0.298302	+	0.954472i	$0.403580\pi$
$607$	−411.210	+	712.236i	−0.677446	+	1.17337i	−0.975748	+	0.218899i	$0.929754\pi$
$608$	−295.426	−	480.072i	−0.485897	−	0.789592i
$609$	11.3263	−	7.17079i	0.0185982	−	0.0117747i
$610$	−413.900	+	272.104i	−0.678525	+	0.446071i
$611$	267.218	+	267.218i	0.437345	+	0.437345i
$612$	934.407	−	187.045i	1.52681	−	0.305628i
$613$	−346.639	−	346.639i	−0.565479	−	0.565479i	0.365380	−	0.930859i	$-0.380939\pi$
$613$	−346.639	−	346.639i	−0.565479	−	0.565479i	−0.930859	+	0.365380i	$0.880939\pi$
$614$	−871.583	−	180.156i	−1.41952	−	0.293414i
$615$	10.2867	+	251.915i	0.0167264	+	0.409617i
$616$	15.4712	−	7.20261i	0.0251155	−	0.0116925i
$617$	−280.986	+	486.683i	−0.455407	+	0.788789i	−0.998712	−	0.0507474i	$-0.983840\pi$
$617$	−280.986	+	486.683i	−0.455407	+	0.788789i	0.543304	+	0.839536i	$0.317173\pi$
$618$	253.418	−	95.5555i	0.410062	−	0.154621i
$619$	91.3227	−	340.821i	0.147533	−	0.550599i	−0.852097	−	0.523384i	$-0.824669\pi$
$619$	91.3227	−	340.821i	0.147533	−	0.550599i	0.999630	−	0.0272153i	$-0.00866396\pi$
$620$	−42.5297	+	53.7418i	−0.0685964	+	0.0866803i
$621$	−551.572	+	223.017i	−0.888199	+	0.359126i
$622$	763.918	−	44.3341i	1.22816	−	0.0712767i
$623$	−8.38797	+	4.84280i	−0.0134638	+	0.00777335i
$624$	1116.84	+	286.254i	1.78980	+	0.458740i
$625$	−24.1147	+	41.7679i	−0.0385835	+	0.0668286i
$626$	−14.8527	−	7.46318i	−0.0237264	−	0.0119220i
$627$	−658.799	−	607.107i	−1.05072	−	0.968272i
$628$	−1032.30	−	151.648i	−1.64380	−	0.241478i
$629$	598.371	−	598.371i	0.951306	−	0.951306i
$630$	−2.85734	−	6.73209i	−0.00453546	−	0.0106859i
$631$			645.121i			1.02238i	0.859468	+	0.511189i	$0.170795\pi$
$631$			645.121i			1.02238i	−0.859468	+	0.511189i	$0.829205\pi$
$632$	10.5194	+	12.5524i	0.0166447	+	0.0198614i
$633$	−328.419	+	207.926i	−0.518830	+	0.328477i
$634$	−110.151	+	36.4747i	−0.173740	+	0.0575311i
$635$	−77.8629	−	290.588i	−0.122619	−	0.457619i
$636$	−258.223	+	208.965i	−0.406011	+	0.328561i
$637$	−1136.49	−	304.521i	−1.78412	−	0.478054i
$638$	−1201.99	+	69.7580i	−1.88400	+	0.109338i
$639$	79.2735	−	54.8438i	0.124059	−	0.0858275i
$640$	−153.149	+	383.874i	−0.239296	+	0.599803i
$641$	81.9269	−	47.3005i	0.127811	−	0.0737917i	−0.434731	−	0.900560i	$-0.643157\pi$
$641$	81.9269	−	47.3005i	0.127811	−	0.0737917i	0.562542	+	0.826768i	$0.309823\pi$
$642$	−61.7887	−	623.471i	−0.0962440	−	0.971139i
$643$	327.964	+	1223.98i	0.510053	+	1.90354i	0.419776	+	0.907628i	$0.362109\pi$
$643$	327.964	+	1223.98i	0.510053	+	1.90354i	0.0902770	+	0.995917i	$0.471225\pi$
$644$	10.1821	+	4.39716i	0.0158108	+	0.00682789i
$645$	−63.7848	−	204.308i	−0.0988912	−	0.316757i
$646$	−188.773	+	913.271i	−0.292218	+	1.41373i
$647$	−778.698			−1.20355			−0.601776	−	0.798665i	$-0.705540\pi$
$647$	−778.698			−1.20355			−0.601776	+	0.798665i	$0.705540\pi$
$648$	120.116	−	636.770i	0.185364	−	0.982670i
$649$		−	945.776i		−	1.45728i
$650$	141.723	−	685.645i	0.218035	−	1.05484i
$651$	−1.91212	+	0.596964i	−0.00293721	+	0.000916995i
$652$	291.428	+	734.457i	0.446976	+	1.12647i
$653$	−500.507	+	134.110i	−0.766473	+	0.205376i	−0.620813	−	0.783959i	$-0.713197\pi$
$653$	−500.507	+	134.110i	−0.766473	+	0.205376i	−0.145660	+	0.989335i	$0.546531\pi$
$654$	−11.6026	−	117.075i	−0.0177410	−	0.179014i
$655$	38.7258	+	67.0751i	0.0591234	+	0.102405i
$656$	405.303	−	95.7035i	0.617841	−	0.145889i
$657$	−502.077	−	725.722i	−0.764196	−	1.10460i
$658$	−3.95284	+	0.229404i	−0.00600736	+	0.000348638i
$659$	289.729	−	1081.28i	0.439649	−	1.64079i	−0.290039	−	0.957015i	$-0.593668\pi$
$659$	289.729	−	1081.28i	0.439649	−	1.64079i	0.729689	−	0.683779i	$-0.239665\pi$
$660$	−68.8743	+	653.235i	−0.104355	+	0.989751i
$661$	84.5409	−	22.6527i	0.127899	−	0.0342703i	−0.194302	−	0.980942i	$-0.562244\pi$
$661$	84.5409	−	22.6527i	0.127899	−	0.0342703i	0.322200	+	0.946671i	$0.395577\pi$
$662$	849.238	−	281.211i	1.28284	−	0.424791i
$663$	−1020.32	−	1611.60i	−1.53895	−	2.43078i
$664$	62.7464	−	712.090i	0.0944976	−	1.07242i
$665$	7.15706			0.0107625
$666$	−224.821	−	529.695i	−0.337570	−	0.795337i
$667$	−553.310	−	553.310i	−0.829550	−	0.829550i
$668$	700.038	+	941.130i	1.04796	+	1.40888i
$669$	535.224	−	580.796i	0.800035	−	0.868155i
$670$	323.690	+	162.647i	0.483119	+	0.242757i
$671$	1126.12	+	650.163i	1.67827	+	0.968947i
$672$	−10.0211	+	6.74551i	−0.0149124	+	0.0100380i
$673$	285.489	+	494.482i	0.424204	+	0.734743i	0.996346	−	0.0854120i	$-0.0272206\pi$
$673$	285.489	+	494.482i	0.424204	+	0.734743i	−0.572142	+	0.820155i	$0.693887\pi$
$674$	232.343	−	13.4841i	0.344723	−	0.0200061i
$675$	−389.692	−	54.6637i	−0.577322	−	0.0809832i
$676$	−188.762	−	1620.80i	−0.279234	−	2.39763i
$677$	−2.33053	−	0.624464i	−0.00344244	−	0.000922398i	0.257097	−	0.966385i	$-0.417234\pi$
$677$	−2.33053	−	0.624464i	−0.00344244	−	0.000922398i	−0.260540	+	0.965463i	$0.583901\pi$
$678$	−321.934	+	121.391i	−0.474829	+	0.179042i
$679$	4.28725	+	2.47524i	0.00631406	+	0.00364542i
$680$	619.881	−	288.586i	0.911589	−	0.424390i
$681$	−994.553	+	40.6118i	−1.46043	+	0.0596356i
$682$	176.189	+	36.4183i	0.258342	+	0.0533992i
$683$	696.716	−	696.716i	1.02008	−	1.02008i	0.0202881	−	0.999794i	$-0.493542\pi$
$683$	696.716	−	696.716i	1.02008	−	1.02008i	0.999794	−	0.0202881i	$-0.00645833\pi$
$684$	527.704	+	351.674i	0.771497	+	0.514144i
$685$	143.060	−	143.060i	0.208846	−	0.208846i
$686$	20.6053	−	13.5462i	0.0300369	−	0.0197467i
$687$	193.871	+	306.220i	0.282199	+	0.445734i
$688$	−311.318	+	167.528i	−0.452498	+	0.243500i
$689$	575.826	+	332.453i	0.835742	+	0.482516i
$690$	−346.849	+	248.867i	−0.502680	+	0.360677i
$691$	−259.444	−	69.5177i	−0.375461	−	0.100605i	0.0661532	−	0.997809i	$-0.478927\pi$
$691$	−259.444	−	69.5177i	−0.375461	−	0.100605i	−0.441614	+	0.897205i	$0.645594\pi$
$692$	921.368	+	729.145i	1.33146	+	1.05368i
$693$	−12.4236	+	14.6373i	−0.0179272	+	0.0211216i
$694$	−624.744	+	701.726i	−0.900207	+	1.01113i
$695$	17.3812	+	30.1051i	0.0250089	+	0.0433167i
$696$	832.696	−	181.598i	1.19640	−	0.260916i
$697$	−596.675	−	344.490i	−0.856062	−	0.494247i
$698$	300.200	+	906.583i	0.430086	+	1.29883i
$699$	258.836	+	829.073i	0.370295	+	1.18608i
$700$	4.37815	+	5.88598i	0.00625450	+	0.00840854i
$701$	491.487	+	491.487i	0.701123	+	0.701123i	0.964652	−	0.263529i	$-0.0848864\pi$
$701$	491.487	+	491.487i	0.701123	+	0.701123i	−0.263529	+	0.964652i	$0.584886\pi$
$702$	−1276.01	+	232.728i	−1.81767	+	0.331521i
$703$	563.132			0.801041
$704$	1080.96	−	93.2158i	1.53545	−	0.132409i
$705$	70.7521	−	134.982i	0.100358	−	0.191464i
$706$	344.411	+	173.059i	0.487834	+	0.245126i
$707$	−16.8851	+	4.52434i	−0.0238827	+	0.00639935i
$708$	104.512	+	661.263i	0.147615	+	0.933988i
$709$	362.662	−	1353.47i	0.511512	−	1.90899i	0.107588	−	0.994196i	$-0.465687\pi$
$709$	362.662	−	1353.47i	0.511512	−	1.90899i	0.403924	−	0.914793i	$-0.367646\pi$
$710$	45.9924	−	51.6596i	0.0647780	−	0.0727601i
$711$	−16.6542	−	7.88070i	−0.0234236	−	0.0110840i
$712$	−606.487	+	106.551i	−0.851807	+	0.149650i
$713$	58.4635	+	101.262i	0.0819966	+	0.142022i
$714$	19.7203	+	3.24354i	0.0276195	+	0.00454278i
$715$	1269.98	−	340.291i	1.77620	−	0.475931i
$716$	−484.752	+	192.347i	−0.677028	+	0.268641i
$717$	0.468343	−	2.08470i	0.000653198	−	0.00290753i
$718$	385.687	+	586.673i	0.537168	+	0.817094i
$719$		−	30.3572i		−	0.0422215i	−0.999777	−	0.0211107i	$-0.993280\pi$
$719$		−	30.3572i		−	0.0422215i	0.999777	−	0.0211107i	$-0.00672025\pi$
$720$	−24.0297	−	464.337i	−0.0333746	−	0.644912i
$721$	5.67999			0.00787794
$722$	84.7336	−	55.7050i	0.117359	−	0.0771537i
$723$	60.8021	−	65.9791i	0.0840970	−	0.0912574i
$724$	603.941	−	239.640i	0.834172	−	0.330995i
$725$	−133.952	−	499.917i	−0.184762	−	0.689541i
$726$	934.152	−	352.237i	1.28671	−	0.485175i
$727$	80.1769	−	46.2902i	0.110285	−	0.0636729i	−0.443843	−	0.896105i	$-0.646385\pi$
$727$	80.1769	−	46.2902i	0.110285	−	0.0636729i	0.554128	+	0.832432i	$0.313052\pi$
$728$	19.7981	+	13.8812i	0.0271952	+	0.0190675i
$729$	176.731	+	707.253i	0.242430	+	0.970169i
$730$	−472.927	−	421.045i	−0.647845	−	0.576774i
$731$	564.959	+	151.380i	0.772858	+	0.207087i
$732$	−859.198	−	330.138i	−1.17377	−	0.451009i
$733$	−128.130	−	478.189i	−0.174803	−	0.652373i	−0.996585	−	0.0825713i	$-0.973687\pi$
$733$	−128.130	−	478.189i	−0.174803	−	0.652373i	0.821782	−	0.569801i	$-0.192980\pi$
$734$	−408.994	+	813.954i	−0.557213	+	1.10893i
$735$	19.3594	+	474.096i	0.0263393	+	0.645029i
$736$	512.390	+	484.420i	0.696182	+	0.658180i
$737$		−	950.981i		−	1.29034i
$738$	−369.197	+	288.429i	−0.500267	+	0.390825i
$739$	−736.411	+	736.411i	−0.996497	+	0.996497i	−0.999994	−	0.00349738i	$-0.998887\pi$
$739$	−736.411	+	736.411i	−0.996497	+	0.996497i	0.00349738	+	0.999994i	$0.498887\pi$
$740$	−246.422	−	331.289i	−0.333003	−	0.447688i
$741$	278.229	−	1238.46i	0.375478	−	1.67134i
$742$	−6.61344	+	2.18993i	−0.00891299	+	0.00295139i
$743$	182.739	−	316.514i	0.245948	−	0.425995i	−0.716450	−	0.697639i	$-0.754234\pi$
$743$	182.739	−	316.514i	0.245948	−	0.425995i	0.962398	+	0.271644i	$0.0875674\pi$
$744$	−127.212	−	5.99321i	−0.170983	−	0.00805539i
$745$	100.132	−	57.8110i	0.134405	−	0.0775987i
$746$	879.309	+	782.846i	1.17870	+	1.04939i
$747$	270.785	+	757.246i	0.362497	+	1.01372i
$748$	−1407.56	−	1113.90i	−1.88176	−	1.48917i
$749$	3.40077	−	12.6919i	0.00454042	−	0.0169451i
$750$	−762.947	+	75.6113i	−1.01726	+	0.100815i
$751$	−4.41811	+	7.65240i	−0.00588297	+	0.0101896i	−0.868952	−	0.494897i	$-0.835206\pi$
$751$	−4.41811	+	7.65240i	−0.00588297	+	0.0101896i	0.863069	+	0.505086i	$0.168539\pi$
$752$	−241.095	−	72.3971i	−0.320605	−	0.0962728i
$753$	483.758	+	253.566i	0.642441	+	0.336741i
$754$	−937.125	−	1425.47i	−1.24287	−	1.89055i
$755$	−154.814	−	154.814i	−0.205052	−	0.205052i
$756$	7.06877	−	11.6069i	0.00935023	−	0.0153530i
$757$	308.653	+	308.653i	0.407732	+	0.407732i	0.880947	−	0.473215i	$-0.156907\pi$
$757$	308.653	+	308.653i	0.407732	+	0.407732i	−0.473215	+	0.880947i	$0.656907\pi$
$758$	−106.076	+	513.187i	−0.139941	+	0.677028i
$759$	992.581	+	520.270i	1.30775	+	0.685468i
$760$	427.482	+	155.892i	0.562477	+	0.205121i
$761$	−71.5261	+	123.887i	−0.0939896	+	0.162795i	−0.909186	−	0.416389i	$-0.863295\pi$
$761$	−71.5261	+	123.887i	−0.0939896	+	0.162795i	0.815197	+	0.579184i	$0.196629\pi$
$762$	354.381	−	432.350i	0.465068	−	0.567388i
$763$	0.638595	−	2.38327i	0.000836953	−	0.00312355i
$764$	−11.2956	−	96.9891i	−0.0147848	−	0.126949i
$765$	−497.772	+	586.468i	−0.650683	+	0.766625i
$766$	37.1772	+	640.598i	0.0485342	+	0.836290i
$767$	1160.50	−	670.016i	1.51304	−	0.873554i
$768$	−745.478	+	184.624i	−0.970675	+	0.240396i
$769$	−66.1593	+	114.591i	−0.0860329	+	0.149013i	−0.905831	−	0.423639i	$-0.860752\pi$
$769$	−66.1593	+	114.591i	−0.0860329	+	0.149013i	0.819798	+	0.572653i	$0.194086\pi$
$770$	−6.18507	+	12.3091i	−0.00803256	+	0.0159859i
$771$	−120.230	+	535.172i	−0.155941	+	0.694128i
$772$	547.566	+	736.146i	0.709282	+	0.953557i
$773$	218.705	−	218.705i	0.282930	−	0.282930i	−0.551346	−	0.834276i	$-0.685886\pi$
$773$	218.705	−	218.705i	0.282930	−	0.282930i	0.834276	+	0.551346i	$0.185886\pi$
$774$	239.366	−	317.628i	0.309259	−	0.410372i
$775$			77.3368i			0.0997894i
$776$	202.157	+	241.226i	0.260512	+	0.310858i
$777$	−0.492378	−	12.0580i	−0.000633692	−	0.0155186i
$778$	254.337	+	768.079i	0.326911	+	0.987248i
$779$	−118.666	−	442.869i	−0.152332	−	0.568510i
$780$	−850.337	+	378.260i	−1.09018	+	0.484949i
$781$	−175.387	−	46.9947i	−0.224567	−	0.0601725i
$782$	−67.5888	−	1164.62i	−0.0864306	−	1.48928i
$783$	−765.582	+	577.221i	−0.977755	+	0.737192i
$784$	762.770	−	180.111i	0.972921	−	0.229734i
$785$	729.401	−	421.120i	0.929173	−	0.536458i
$786$	−59.3185	+	131.130i	−0.0754688	+	0.166833i
$787$	−86.9393	−	324.462i	−0.110469	−	0.412277i	0.888439	−	0.458995i	$-0.151790\pi$
$787$	−86.9393	−	324.462i	−0.110469	−	0.412277i	−0.998908	+	0.0467182i	$0.985124\pi$
$788$	−44.6756	−	112.591i	−0.0566949	−	0.142882i
$789$	−680.244	+	738.164i	−0.862160	+	0.935569i
$790$	−12.9465	−	2.67604i	−0.0163880	−	0.00338740i
$791$	−7.21567			−0.00912221
$792$	−1060.87	+	603.660i	−1.33948	+	0.762197i
$793$			1842.38i			2.32331i
$794$	−871.588	−	180.157i	−1.09772	−	0.226898i
$795$	58.7755	−	261.624i	0.0739315	−	0.329086i
$796$	567.804	+	245.206i	0.713322	+	0.308048i
$797$	502.994	−	134.777i	0.631109	−	0.169105i	0.0709360	−	0.997481i	$-0.477401\pi$
$797$	502.994	−	134.777i	0.631109	−	0.169105i	0.560173	+	0.828376i	$0.310735\pi$
$798$	7.75321	+	10.8057i	0.00971580	+	0.0135410i
$799$	208.233	+	360.671i	0.260617	+	0.451403i
$800$	133.296	+	446.925i	0.166619	+	0.558656i
$801$	569.699	−	394.135i	0.711234	−	0.492054i
$802$	−19.8020	−	341.206i	−0.0246907	−	0.425444i
$803$	−430.221	+	1605.61i	−0.535767	+	1.99951i
$804$	105.087	+	664.902i	0.130705	+	0.826993i
$805$	−8.64784	+	2.31718i	−0.0107427	+	0.00287849i
$806$	80.1313	+	241.991i	0.0994184	+	0.300237i
$807$	171.658	−	327.492i	0.212711	−	0.405814i
$808$	−1107.07	−	97.5505i	−1.37014	−	0.120731i
$809$	−148.860			−0.184005			−0.0920024	−	0.995759i	$-0.529327\pi$
$809$	−148.860			−0.184005			−0.0920024	+	0.995759i	$0.529327\pi$
$810$	242.945	+	463.237i	0.299932	+	0.571898i
$811$	−1134.76	−	1134.76i	−1.39921	−	1.39921i	−0.802331	−	0.596879i	$-0.796407\pi$
$811$	−1134.76	−	1134.76i	−1.39921	−	1.39921i	−0.596879	−	0.802331i	$-0.703593\pi$
$812$	17.6841	+	2.59783i	0.0217784	+	0.00319930i
$813$	−428.799	−	1373.48i	−0.527428	−	1.68940i
$814$	−486.654	+	968.506i	−0.597855	+	1.18981i
$815$	−552.381	−	318.917i	−0.677768	−	0.391310i
$816$	1107.22	+	623.273i	1.35689	+	0.763814i
$817$	194.611	+	337.077i	0.238202	+	0.412578i
$818$	35.2350	+	607.131i	0.0430745	+	0.742214i
$819$	−26.7617	−	4.87468i	−0.0326760	−	0.00595199i
$820$	−208.611	+	263.607i	−0.254404	+	0.321472i
$821$	1164.63	+	312.062i	1.41855	+	0.380100i	0.884970	−	0.465647i	$-0.154178\pi$
$821$	1164.63	+	312.062i	1.41855	+	0.380100i	0.533583	+	0.845748i	$0.320845\pi$
$822$	370.967	+	61.0157i	0.451298	+	0.0742283i
$823$	−572.726	−	330.664i	−0.695900	−	0.401778i	0.109918	−	0.993941i	$-0.464941\pi$
$823$	−572.726	−	330.664i	−0.695900	−	0.401778i	−0.805819	+	0.592162i	$0.798274\pi$
$824$	339.259	+	123.719i	0.411722	+	0.150145i
$825$	396.493	+	626.261i	0.480597	+	0.759105i
$826$	−2.84204	+	13.7496i	−0.00344072	+	0.0166460i
$827$	−1138.25	+	1138.25i	−1.37636	+	1.37636i	−0.525670	+	0.850689i	$0.676185\pi$
$827$	−1138.25	+	1138.25i	−1.37636	+	1.37636i	−0.850689	+	0.525670i	$0.823815\pi$
$828$	−751.480	−	254.076i	−0.907584	−	0.306855i
$829$	265.912	−	265.912i	0.320762	−	0.320762i	−0.528298	−	0.849059i	$-0.677169\pi$
$829$	265.912	−	265.912i	0.320762	−	0.320762i	0.849059	+	0.528298i	$0.177169\pi$
$830$	316.988	+	482.175i	0.381914	+	0.580934i
$831$	949.889	−	38.7880i	1.14307	−	0.0466763i
$832$	880.162	+	1260.34i	1.05789	+	1.51483i
$833$	−1122.93	−	648.322i	−1.34805	−	0.778298i
$834$	−26.6237	+	58.8548i	−0.0319229	+	0.0705694i
$835$	−914.555	−	245.054i	−1.09527	−	0.293478i
$836$	−138.181	−	1186.48i	−0.165288	−	1.41924i
$837$	132.825	−	53.7053i	0.158692	−	0.0641640i
$838$	−533.479	−	474.955i	−0.636610	−	0.566772i
$839$	240.766	+	417.019i	0.286968	+	0.497043i	0.973085	−	0.230448i	$-0.0740193\pi$
$839$	240.766	+	417.019i	0.286968	+	0.497043i	−0.686116	+	0.727492i	$0.740686\pi$
$840$	2.96425	−	9.28970i	0.00352886	−	0.0110592i
$841$	−363.768	−	210.021i	−0.432542	−	0.249728i
$842$	893.826	−	295.976i	1.06155	−	0.351515i
$843$	137.658	−	149.379i	0.163296	−	0.177200i
$844$	−512.771	−	75.3273i	−0.607549	−	0.0892503i
$845$	931.389	+	931.389i	1.10224	+	1.10224i
$846$	280.442	−	39.4041i	0.331491	−	0.0465769i
$847$	20.9376			0.0247197
$848$	−442.712	−	13.2493i	−0.522067	−	0.0156242i
$849$	478.623	+	755.987i	0.563749	+	0.890444i
$850$	346.430	−	689.442i	0.407565	−	0.811109i
$851$	−680.429	+	182.320i	−0.799564	+	0.214243i
$852$	127.819	+	13.4767i	0.150022	+	0.0158177i
$853$	318.353	−	1188.11i	0.373216	−	1.39286i	−0.482718	−	0.875776i	$-0.660350\pi$
$853$	318.353	−	1188.11i	0.373216	−	1.39286i	0.855934	−	0.517085i	$-0.172983\pi$
$854$	−14.4176	−	12.8360i	−0.0168825	−	0.0150304i
$855$	−510.194	+	41.7363i	−0.596718	+	0.0488144i
$856$	479.573	−	683.994i	0.560248	−	0.799059i
$857$	−74.3855	−	128.839i	−0.0867975	−	0.150338i	0.819358	−	0.573282i	$-0.194330\pi$
$857$	−74.3855	−	128.839i	−0.0867975	−	0.150338i	−0.906156	+	0.422944i	$0.860997\pi$
$858$	1889.54	+	1548.78i	2.20226	+	1.80511i
$859$	−1357.62	+	363.774i	−1.58047	+	0.423485i	−0.939071	−	0.343723i	$-0.888312\pi$
$859$	−1357.62	+	363.774i	−1.58047	+	0.423485i	−0.641398	+	0.767208i	$0.721645\pi$
$860$	113.141	−	261.991i	0.131559	−	0.304641i
$861$	−9.37911	+	2.92815i	−0.0108933	+	0.00340087i
$862$	−9.06765	+	5.96119i	−0.0105193	+	0.00691554i
$863$			109.514i			0.126899i	0.997985	+	0.0634493i	$0.0202101\pi$
$863$			109.514i			0.126899i	−0.997985	+	0.0634493i	$0.979790\pi$
$864$	675.025	−	539.294i	0.781278	−	0.624183i
$865$	−948.464			−1.09649
$866$	−252.251	−	383.703i	−0.291283	−	0.443075i
$867$	−368.073	−	1178.97i	−0.424537	−	1.35983i
$868$	−2.45199	−	1.05889i	−0.00282487	−	0.00121992i
$869$	8.98236	+	33.5226i	0.0103364	+	0.0385761i
$870$	−436.119	+	532.071i	−0.501286	+	0.611575i
$871$	1166.89	−	673.703i	1.33971	−	0.773483i
$872$	90.0539	−	128.440i	0.103273	−	0.147294i
$873$	−320.052	−	151.447i	−0.366612	−	0.173479i
$874$	516.211	−	579.819i	0.590630	−	0.663409i
$875$	−15.5311	−	4.16155i	−0.0177499	−	0.00475606i
$876$	123.374	−	1170.14i	0.140838	−	1.33578i
$877$	252.174	+	941.126i	0.287541	+	1.07312i	0.946962	+	0.321345i	$0.104135\pi$
$877$	252.174	+	941.126i	0.287541	+	1.07312i	−0.659421	+	0.751774i	$0.729198\pi$
$878$	−1210.25	−	608.124i	−1.37841	−	0.692624i
$879$	−671.670	+	425.242i	−0.764130	+	0.483779i
$880$	−637.538	+	600.487i	−0.724476	+	0.682372i
$881$			468.501i			0.531783i	0.964003	+	0.265892i	$0.0856663\pi$
$881$			468.501i			0.531783i	−0.964003	+	0.265892i	$0.914334\pi$
$882$	−694.819	+	542.815i	−0.787776	+	0.615437i
$883$	1159.62	−	1159.62i	1.31327	−	1.31327i	0.394280	−	0.918990i	$-0.370994\pi$
$883$	1159.62	−	1159.62i	1.31327	−	1.31327i	0.918990	−	0.394280i	$-0.129006\pi$
$884$	369.643	−	2516.25i	0.418148	−	2.84643i
$885$	−397.400	−	366.219i	−0.449040	−	0.413806i
$886$	−209.400	−	632.373i	−0.236343	−	0.713739i
$887$	−132.286	+	229.126i	−0.149138	+	0.258315i	−0.930909	−	0.365251i	$-0.880983\pi$
$887$	−132.286	+	229.126i	−0.149138	+	0.258315i	0.781771	+	0.623566i	$0.214317\pi$
$888$	233.233	−	730.932i	0.262650	−	0.823122i
$889$	10.1533	−	5.86201i	0.0114210	−	0.00659394i
$890$	330.524	−	371.252i	0.371376	−	0.417137i
$891$	800.260	−	1115.87i	0.898159	−	1.25238i
$892$	1046.00	−	121.820i	1.17265	−	0.136569i
$893$	−71.7300	+	267.700i	−0.0803248	+	0.299776i
$894$	195.755	+	88.5523i	0.218966	+	0.0990518i
$895$	210.490	−	364.580i	0.235185	−	0.407352i
$896$	−15.9950	−	1.89309i	−0.0178515	−	0.00211283i
$897$	64.7839	+	1586.51i	0.0722228	+	1.76868i
$898$	762.484	−	501.267i	0.849091	−	0.558204i
$899$	133.244	+	133.244i	0.148213	+	0.148213i
$900$	−346.422	−	394.053i	−0.384913	−	0.437836i
$901$	518.139	+	518.139i	0.575071	+	0.575071i
$902$	864.221	+	178.634i	0.958117	+	0.198042i
$903$	7.04744	−	4.46181i	0.00780447	−	0.00494109i
$904$	−430.983	−	157.169i	−0.476751	−	0.173859i
$905$	−262.244	+	454.220i	−0.289773	+	0.501901i
$906$	66.0290	−	401.448i	0.0728797	−	0.443099i
$907$	−122.267	+	456.307i	−0.134804	+	0.503095i	0.865195	+	0.501436i	$0.167195\pi$
$907$	−122.267	+	456.307i	−0.134804	+	0.503095i	−0.999999	+	0.00165906i	$0.999472\pi$
$908$	−1040.72	−	823.594i	−1.14616	−	0.907041i
$909$	1177.27	−	420.984i	1.29513	−	0.463129i
$910$	−19.4854	+	1.13084i	−0.0214126	+	0.00124268i
$911$	−296.353	+	171.099i	−0.325305	+	0.187815i	−0.653755	−	0.756707i	$-0.726807\pi$
$911$	−296.353	+	171.099i	−0.325305	+	0.187815i	0.328450	+	0.944521i	$0.393474\pi$
$912$	227.723	+	814.290i	0.249697	+	0.892862i
$913$	757.411	−	1311.87i	0.829585	−	1.43688i
$914$	−457.422	−	229.845i	−0.500461	−	0.251471i
$915$	709.238	−	221.424i	0.775123	−	0.241993i
$916$	−70.2355	+	478.110i	−0.0766763	+	0.521954i
$917$	−2.13431	+	2.13431i	−0.00232750	+	0.00232750i
$918$	−1424.68	−	116.218i	−1.55194	−	0.126599i
$919$			1099.02i			1.19589i	0.801538	+	0.597944i	$0.204015\pi$
$919$			1099.02i			1.19589i	−0.801538	+	0.597944i	$0.795985\pi$
$920$	−566.996	−	49.9614i	−0.616300	−	0.0543059i
$921$	1182.43	+	619.779i	1.28385	+	0.672941i
$922$	416.635	−	137.962i	0.451882	−	0.149633i
$923$	−66.5849	−	248.498i	−0.0721397	−	0.269229i
$924$	−25.2846	+	3.99619i	−0.0273642	+	0.00432488i
$925$	−450.043	−	120.589i	−0.486533	−	0.130366i
$926$	1456.91	−	84.5518i	1.57333	−	0.0913086i
$927$	−404.900	+	33.1228i	−0.436786	+	0.0357312i
$928$	999.663	+	540.353i	1.07722	+	0.582277i
$929$	−123.120	+	71.0831i	−0.132529	+	0.0765158i	−0.564799	−	0.825229i	$-0.691046\pi$
$929$	−123.120	+	71.0831i	−0.132529	+	0.0765158i	0.432270	+	0.901744i	$0.357713\pi$
$930$	83.5255	−	59.9303i	0.0898124	−	0.0644412i
$931$	−223.327	−	833.468i	−0.239879	−	0.895239i
$932$	−459.122	+	1063.15i	−0.492620	+	1.14072i
$933$	−1119.89	−	251.591i	−1.20031	−	0.269658i
$934$	−210.766	+	1019.67i	−0.225659	+	1.09172i
$935$	1448.95			1.54968
$936$	−1492.26	−	874.071i	−1.59430	−	0.933836i
$937$		−	825.181i		−	0.880662i	−0.897835	−	0.440331i	$-0.854861\pi$
$937$		−	825.181i		−	0.880662i	0.897835	−	0.440331i	$-0.145139\pi$
$938$	−2.85768	+	13.8253i	−0.00304656	+	0.0147391i
$939$	18.3353	+	16.8966i	0.0195264	+	0.0179943i
$940$	188.876	−	74.9449i	0.200932	−	0.0797286i
$941$	−433.397	+	116.128i	−0.460571	+	0.123410i	−0.481641	−	0.876368i	$-0.659959\pi$
$941$	−433.397	+	116.128i	−0.460571	+	0.123410i	0.0210704	+	0.999778i	$0.493293\pi$
$942$	1425.96	+	645.052i	1.51376	+	0.684769i
$943$	286.768	+	496.697i	0.304102	+	0.526720i
$944$	−469.239	+	759.342i	−0.497076	+	0.804387i
$945$	1.33976	+	10.8879i	0.00141774	+	0.0115216i
$946$	−747.904	+	43.4048i	−0.790596	+	0.0458824i
$947$	−16.7269	+	62.4257i	−0.0176631	+	0.0659195i	−0.974195	−	0.225709i	$-0.927530\pi$
$947$	−16.7269	+	62.4257i	−0.0176631	+	0.0659195i	0.956532	+	0.291628i	$0.0941969\pi$
$948$	−9.98462	−	22.4456i	−0.0105323	−	0.0236768i
$949$	−2274.92	+	609.563i	−2.39718	+	0.642321i
$950$	487.434	−	161.406i	0.513088	−	0.169901i
$951$	173.905	−	7.10126i	0.182865	−	0.00746715i
$952$	17.1157	+	20.4235i	0.0179787	+	0.0214532i
$953$	−1766.55			−1.85367			−0.926835	−	0.375468i	$-0.877482\pi$
$953$	−1766.55			−1.85367			−0.926835	+	0.375468i	$0.877482\pi$
$954$	458.671	−	194.676i	0.480787	−	0.204063i
$955$	55.7346	+	55.7346i	0.0583608	+	0.0583608i
$956$	2.28586	−	1.70029i	0.00239107	−	0.00177854i
$957$	1762.11	+	395.869i	1.84128	+	0.413656i
$958$	704.063	+	353.777i	0.734930	+	0.369287i
$959$	6.82819	+	3.94225i	0.00712011	+	0.00411080i
$960$	379.395	−	490.296i	0.395203	−	0.510725i
$961$	466.421	+	807.865i	0.485350	+	0.840651i
$962$	−1533.15	+	88.9768i	−1.59371	+	0.0924915i
$963$	−168.413	+	924.575i	−0.174883	+	0.960098i
$964$	118.827	−	13.8389i	0.123264	−	0.0143557i
$965$	−715.359	−	191.680i	−0.741305	−	0.198632i
$966$	−12.8666	−	10.5463i	−0.0133195	−	0.0109175i
$967$	−1320.48	−	762.380i	−1.36554	−	0.788397i	−0.375189	−	0.926948i	$-0.622422\pi$
$967$	−1320.48	−	762.380i	−1.36554	−	0.788397i	−0.990355	+	0.138551i	$0.955756\pi$
$968$	1250.58	+	456.055i	1.29192	+	0.471131i
$969$	649.422	−	1238.98i	0.670198	−	1.27862i
$970$	−248.800	−	51.4269i	−0.256495	−	0.0530174i
$971$	−155.539	+	155.539i	−0.160184	+	0.160184i	−0.782648	−	0.622464i	$-0.786132\pi$
$971$	−155.539	+	155.539i	−0.160184	+	0.160184i	0.622464	+	0.782648i	$0.286132\pi$
$972$	−436.214	+	868.620i	−0.448780	+	0.893642i
$973$	−0.957938	+	0.957938i	−0.000984520	+	0.000984520i
$974$	918.574	−	603.883i	0.943094	−	0.620003i
$975$	−487.559	+	930.174i	−0.500060	+	0.954024i
$976$	−581.559	−	1080.71i	−0.595860	−	1.10729i
$977$	−180.963	−	104.479i	−0.185223	−	0.106938i	0.404522	−	0.914528i	$-0.367438\pi$
$977$	−180.963	−	104.479i	−0.185223	−	0.106938i	−0.589744	+	0.807590i	$0.700771\pi$
$978$	−116.890	−	1179.47i	−0.119520	−	1.20600i
$979$	−1260.42	−	337.727i	−1.28745	−	0.344972i
$980$	−392.601	+	496.102i	−0.400613	+	0.506226i
$981$	−31.6245	+	173.616i	−0.0322370	+	0.176979i
$982$	413.975	−	464.985i	0.421563	−	0.473508i
$983$	−481.713	−	834.351i	−0.490043	−	0.848780i	0.509891	−	0.860239i	$-0.329686\pi$
$983$	−481.713	−	834.351i	−0.490043	−	0.848780i	−0.999934	+	0.0114591i	$0.996352\pi$
$984$	−623.982	−	29.3971i	−0.634128	−	0.0298751i
$985$	84.6794	+	48.8897i	0.0859689	+	0.0496342i
$986$	−590.977	−	1784.71i	−0.599368	−	1.81005i
$987$	5.79480	+	1.30184i	0.00587113	+	0.00131899i
$988$	1357.97	−	1010.09i	1.37446	−	1.02236i
$989$	−344.280	−	344.280i	−0.348109	−	0.348109i
$990$	369.124	−	913.528i	0.372853	−	0.922755i
$991$	599.362			0.604805			0.302403	−	0.953180i	$-0.402211\pi$
$991$	599.362			0.604805			0.302403	+	0.953180i	$0.402211\pi$
$992$	−123.390	−	116.654i	−0.124385	−	0.117595i
$993$	−1340.76	+	54.7491i	−1.35021	+	0.0551350i
$994$	2.40853	+	1.21024i	0.00242307	+	0.00121754i
$995$	−482.244	+	129.217i	−0.484667	+	0.129866i
$996$	−384.596	+	1000.93i	−0.386141	+	1.00495i
$997$	−397.434	+	1483.24i	−0.398630	+	1.48771i	0.416880	+	0.908962i	$0.363124\pi$
$997$	−397.434	+	1483.24i	−0.398630	+	1.48771i	−0.815509	+	0.578744i	$0.803543\pi$
$998$	97.4062	−	109.409i	0.0976014	−	0.109628i
$999$	105.415	+	856.686i	0.105521	+	0.857543i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	144.3.w.a.5.15	✓	184
3.2	odd	2		432.3.x.a.341.32		184
9.2	odd	6	inner	144.3.w.a.101.29	yes	184
9.7	even	3		432.3.x.a.197.18		184
16.13	even	4	inner	144.3.w.a.77.29	yes	184
48.29	odd	4		432.3.x.a.125.18		184
144.29	odd	12	inner	144.3.w.a.29.15	yes	184
144.61	even	12		432.3.x.a.413.32		184

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
144.3.w.a.5.15	✓	184	1.1	even	1	trivial
144.3.w.a.29.15	yes	184	144.29	odd	12	inner
144.3.w.a.77.29	yes	184	16.13	even	4	inner
144.3.w.a.101.29	yes	184	9.2	odd	6	inner
432.3.x.a.125.18		184	48.29	odd	4
432.3.x.a.197.18		184	9.7	even	3
432.3.x.a.341.32		184	3.2	odd	2
432.3.x.a.413.32		184	144.61	even	12

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(-1.09867 - 1.67120i) q^{2} +(0.894041 + 2.86368i) q^{3} +(-1.58584 + 3.67221i) q^{4} +(-0.835695 - 3.11886i) q^{5} +(3.80354 - 4.64037i) q^{6} +(0.108974 - 0.0629164i) q^{7} +(7.87933 - 1.38428i) q^{8} +(-7.40138 + 5.12050i) q^{9} +O(q^{10})\)	\(q+(-1.09867 - 1.67120i) q^{2} +(0.894041 + 2.86368i) q^{3} +(-1.58584 + 3.67221i) q^{4} +(-0.835695 - 3.11886i) q^{5} +(3.80354 - 4.64037i) q^{6} +(0.108974 - 0.0629164i) q^{7} +(7.87933 - 1.38428i) q^{8} +(-7.40138 + 5.12050i) q^{9} +(-4.29409 + 4.82321i) q^{10} +(16.3750 + 4.38767i) q^{11} +(-11.9339 - 1.25825i) q^{12} +(6.21671 + 23.2011i) q^{13} +(-0.224873 - 0.112994i) q^{14} +(8.18427 - 5.18155i) q^{15} +(-10.9702 - 11.6471i) q^{16} +26.4707i q^{17} +(16.6891 + 6.74347i) q^{18} +(-12.4559 + 12.4559i) q^{19} +(12.7784 + 1.87717i) q^{20} +(0.277600 + 0.255819i) q^{21} +(-10.6581 - 32.1866i) q^{22} +(11.0176 - 19.0831i) q^{23} +(11.0086 + 21.3263i) q^{24} +(12.6218 - 7.28718i) q^{25} +(31.9436 - 35.8798i) q^{26} +(-21.2806 - 16.6173i) q^{27} +(0.0582258 + 0.499952i) q^{28} +(9.19097 - 34.3012i) q^{29} +(-17.6513 - 7.98477i) q^{30} +(-2.65318 + 4.59544i) q^{31} +(-7.41200 + 31.1298i) q^{32} +(2.07502 + 50.8156i) q^{33} +(44.2379 - 29.0826i) q^{34} +(-0.287297 - 0.287297i) q^{35} +(-7.06611 - 35.2997i) q^{36} +(-22.6051 - 22.6051i) q^{37} +(34.5012 + 7.13139i) q^{38} +(-60.8826 + 38.5454i) q^{39} +(-10.9021 - 23.4176i) q^{40} +(-13.0140 + 22.5410i) q^{41} +(0.122533 - 0.744987i) q^{42} +(5.71880 - 21.3428i) q^{43} +(-42.0806 + 53.1742i) q^{44} +(22.1554 + 18.8047i) q^{45} +(-43.9965 + 2.55335i) q^{46} +(13.6253 - 7.86657i) q^{47} +(23.5458 - 41.8282i) q^{48} +(-24.4921 + 42.4215i) q^{49} +(-26.0455 - 13.0873i) q^{50} +(-75.8037 + 23.6659i) q^{51} +(-95.0579 - 13.9642i) q^{52} +(19.5741 - 19.5741i) q^{53} +(-4.39045 + 53.8212i) q^{54} -54.7380i q^{55} +(0.771551 - 0.646590i) q^{56} +(-46.8058 - 24.5337i) q^{57} +(-67.4221 + 22.3257i) q^{58} +(-14.4393 - 53.8883i) q^{59} +(6.04875 + 38.2715i) q^{60} +(74.0899 + 19.8523i) q^{61} +(10.5949 - 0.614877i) q^{62} +(-0.484398 + 1.02367i) q^{63} +(60.1675 - 21.8144i) q^{64} +(67.1656 - 38.7781i) q^{65} +(82.6435 - 59.2974i) q^{66} +(-14.5188 - 54.1848i) q^{67} +(-97.2058 - 41.9783i) q^{68} +(64.4982 + 14.4900i) q^{69} +(-0.164487 + 0.795776i) q^{70} -10.7106 q^{71} +(-51.2297 + 50.5917i) q^{72} +98.0523i q^{73} +(-12.9421 + 62.6132i) q^{74} +(32.1525 + 29.6297i) q^{75} +(-25.9875 - 65.4936i) q^{76} +(2.06051 - 0.552113i) q^{77} +(131.307 + 59.3985i) q^{78} +(1.02359 + 1.77291i) q^{79} +(-27.1578 + 43.9479i) q^{80} +(28.5609 - 75.7976i) q^{81} +(51.9687 - 3.01601i) q^{82} +(23.1271 - 86.3114i) q^{83} +(-1.37965 + 0.613718i) q^{84} +(82.5582 - 22.1214i) q^{85} +(-41.9513 + 13.8915i) q^{86} +(106.445 - 4.34659i) q^{87} +(135.098 + 11.9043i) q^{88} -76.9719 q^{89} +(7.08493 - 57.6863i) q^{90} +(2.13719 + 2.13719i) q^{91} +(52.6049 + 70.7218i) q^{92} +(-15.5320 - 3.48936i) q^{93} +(-28.1164 - 14.1279i) q^{94} +(49.2574 + 28.4388i) q^{95} +(-95.7725 + 6.60563i) q^{96} +(19.6709 + 34.0710i) q^{97} +(97.8038 - 5.67606i) q^{98} +(-143.665 + 51.3734i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 184 q - 6 q^{2} - 4 q^{3} - 2 q^{4} - 6 q^{5} - 10 q^{6}+O(q^{10}) \) 184 * q - 6 * q^2 - 4 * q^3 - 2 * q^4 - 6 * q^5 - 10 * q^6	\( 184 q - 6 q^{2} - 4 q^{3} - 2 q^{4} - 6 q^{5} - 10 q^{6} - 8 q^{10} - 6 q^{11} - 64 q^{12} - 2 q^{13} - 6 q^{14} - 8 q^{15} - 2 q^{16} + 54 q^{18} - 8 q^{19} + 120 q^{20} - 22 q^{21} - 2 q^{22} - 160 q^{24} + 44 q^{27} - 72 q^{28} - 6 q^{29} - 90 q^{30} - 4 q^{31} - 6 q^{32} - 8 q^{33} + 6 q^{34} - 202 q^{36} - 8 q^{37} - 6 q^{38} - 2 q^{40} + 44 q^{42} - 2 q^{43} + 46 q^{45} - 160 q^{46} - 12 q^{47} - 118 q^{48} + 472 q^{49} + 228 q^{50} - 48 q^{51} - 2 q^{52} + 206 q^{54} - 300 q^{56} - 92 q^{58} - 438 q^{59} - 90 q^{60} - 2 q^{61} - 204 q^{63} + 244 q^{64} - 12 q^{65} - 508 q^{66} - 2 q^{67} - 144 q^{68} + 14 q^{69} + 96 q^{70} + 6 q^{72} + 246 q^{74} + 152 q^{75} - 158 q^{76} - 6 q^{77} + 304 q^{78} - 4 q^{79} - 8 q^{81} - 388 q^{82} - 726 q^{83} + 542 q^{84} + 48 q^{85} + 894 q^{86} + 22 q^{88} - 528 q^{90} - 204 q^{91} - 348 q^{92} + 62 q^{93} - 18 q^{94} - 12 q^{95} + 262 q^{96} - 4 q^{97} + 286 q^{99}+O(q^{100}) \) 184 * q - 6 * q^2 - 4 * q^3 - 2 * q^4 - 6 * q^5 - 10 * q^6 - 8 * q^10 - 6 * q^11 - 64 * q^12 - 2 * q^13 - 6 * q^14 - 8 * q^15 - 2 * q^16 + 54 * q^18 - 8 * q^19 + 120 * q^20 - 22 * q^21 - 2 * q^22 - 160 * q^24 + 44 * q^27 - 72 * q^28 - 6 * q^29 - 90 * q^30 - 4 * q^31 - 6 * q^32 - 8 * q^33 + 6 * q^34 - 202 * q^36 - 8 * q^37 - 6 * q^38 - 2 * q^40 + 44 * q^42 - 2 * q^43 + 46 * q^45 - 160 * q^46 - 12 * q^47 - 118 * q^48 + 472 * q^49 + 228 * q^50 - 48 * q^51 - 2 * q^52 + 206 * q^54 - 300 * q^56 - 92 * q^58 - 438 * q^59 - 90 * q^60 - 2 * q^61 - 204 * q^63 + 244 * q^64 - 12 * q^65 - 508 * q^66 - 2 * q^67 - 144 * q^68 + 14 * q^69 + 96 * q^70 + 6 * q^72 + 246 * q^74 + 152 * q^75 - 158 * q^76 - 6 * q^77 + 304 * q^78 - 4 * q^79 - 8 * q^81 - 388 * q^82 - 726 * q^83 + 542 * q^84 + 48 * q^85 + 894 * q^86 + 22 * q^88 - 528 * q^90 - 204 * q^91 - 348 * q^92 + 62 * q^93 - 18 * q^94 - 12 * q^95 + 262 * q^96 - 4 * q^97 + 286 * q^99

Introduction

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