LMFDB - Embedded newform 198.6.e.b.67.12

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [198,6,Mod(67,198)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(198, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([2, 0]))

N = Newforms(chi, 6, names="a")

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

chi := DirichletCharacter("198.67");

S:= CuspForms(chi, 6);

N := Newforms(S);

Level:	$ N $	$=$	$ 198 = 2 \cdot 3^{2} \cdot 11 $
Weight:	$ k $	$=$	$ 6 $
Character orbit:	$[\chi]$	$=$	198.e (of order $3$, degree $2$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$31.7559963230$
Analytic rank:	$0$
Dimension:	$24$
Relative dimension:	$12$ over $\Q(\zeta_{3})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label			67.12
Character	$\chi$	$=$	198.67
Dual form			198.6.e.b.133.12

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(2.00000 + 3.46410i) q^{2} +(15.2181 - 3.37772i) q^{3} +(-8.00000 + 13.8564i) q^{4} +(-52.1915 + 90.3984i) q^{5} +(42.1370 + 45.9617i) q^{6} +(64.3216 + 111.408i) q^{7} -64.0000 q^{8} +(220.182 - 102.805i) q^{9} +O(q^{10})$	\(q+(2.00000 + 3.46410i) q^{2} +(15.2181 - 3.37772i) q^{3} +(-8.00000 + 13.8564i) q^{4} +(-52.1915 + 90.3984i) q^{5} +(42.1370 + 45.9617i) q^{6} +(64.3216 + 111.408i) q^{7} -64.0000 q^{8} +(220.182 - 102.805i) q^{9} -417.532 q^{10} +(-60.5000 - 104.789i) q^{11} +(-74.9418 + 237.890i) q^{12} +(-230.831 + 399.811i) q^{13} +(-257.286 + 445.633i) q^{14} +(-488.916 + 1551.98i) q^{15} +(-128.000 - 221.703i) q^{16} -63.6599 q^{17} +(796.491 + 557.123i) q^{18} -110.255 q^{19} +(-835.065 - 1446.37i) q^{20} +(1355.16 + 1478.16i) q^{21} +(242.000 - 419.156i) q^{22} +(-321.236 + 556.396i) q^{23} +(-973.959 + 216.174i) q^{24} +(-3885.41 - 6729.74i) q^{25} -1846.65 q^{26} +(3003.51 - 2308.21i) q^{27} -2058.29 q^{28} +(-1858.97 - 3219.83i) q^{29} +(-6354.06 + 1410.31i) q^{30} +(-786.612 + 1362.45i) q^{31} +(512.000 - 886.810i) q^{32} +(-1274.64 - 1390.34i) q^{33} +(-127.320 - 220.525i) q^{34} -13428.2 q^{35} +(-336.947 + 3873.37i) q^{36} +6910.69 q^{37} +(-220.510 - 381.935i) q^{38} +(-2162.36 + 6864.05i) q^{39} +(3340.26 - 5785.50i) q^{40} +(-8720.04 + 15103.6i) q^{41} +(-2410.19 + 7650.74i) q^{42} +(-7326.70 - 12690.2i) q^{43} +1936.00 q^{44} +(-2198.22 + 25269.7i) q^{45} -2569.88 q^{46} +(10326.3 + 17885.7i) q^{47} +(-2696.77 - 2941.55i) q^{48} +(128.968 - 223.379i) q^{49} +(15541.7 - 26918.9i) q^{50} +(-968.784 + 215.026i) q^{51} +(-3693.30 - 6396.98i) q^{52} -23101.3 q^{53} +(14002.9 + 5788.03i) q^{54} +12630.4 q^{55} +(-4116.58 - 7130.13i) q^{56} +(-1677.88 + 372.411i) q^{57} +(7435.88 - 12879.3i) q^{58} +(1608.38 - 2785.79i) q^{59} +(-17593.6 - 19190.5i) q^{60} +(25858.5 + 44788.2i) q^{61} -6292.89 q^{62} +(25615.8 + 17917.5i) q^{63} +4096.00 q^{64} +(-24094.9 - 41733.5i) q^{65} +(2266.99 - 7196.18i) q^{66} +(-24055.8 + 41665.8i) q^{67} +(509.280 - 882.098i) q^{68} +(-3009.25 + 9552.35i) q^{69} +(-26856.3 - 46516.5i) q^{70} -62086.2 q^{71} +(-14091.6 + 6579.53i) q^{72} +36940.9 q^{73} +(13821.4 + 23939.3i) q^{74} +(-81859.9 - 89290.0i) q^{75} +(882.041 - 1527.74i) q^{76} +(7782.91 - 13480.4i) q^{77} +(-28102.5 + 6237.46i) q^{78} +(-14386.6 - 24918.3i) q^{79} +26722.1 q^{80} +(37911.2 - 45271.7i) q^{81} -69760.4 q^{82} +(-3595.39 - 6227.40i) q^{83} +(-31323.3 + 6952.33i) q^{84} +(3322.51 - 5754.76i) q^{85} +(29306.8 - 50760.9i) q^{86} +(-39165.7 - 42720.7i) q^{87} +(3872.00 + 6706.50i) q^{88} +56273.7 q^{89} +(-91933.1 + 42924.5i) q^{90} -59389.7 q^{91} +(-5139.77 - 8902.34i) q^{92} +(-7368.77 + 23390.9i) q^{93} +(-41305.2 + 71542.7i) q^{94} +(5754.39 - 9966.89i) q^{95} +(4796.28 - 15225.0i) q^{96} +(23006.4 + 39848.2i) q^{97} +1031.74 q^{98} +(-24093.9 - 16853.0i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 24 q + 48 q^{2} + 21 q^{3} - 192 q^{4} - 7 q^{5} + 168 q^{6} + 24 q^{7} - 1536 q^{8} - 543 q^{9}+O(q^{10}) $ 24 * q + 48 * q^2 + 21 * q^3 - 192 * q^4 - 7 * q^5 + 168 * q^6 + 24 * q^7 - 1536 * q^8 - 543 * q^9	\( 24 q + 48 q^{2} + 21 q^{3} - 192 q^{4} - 7 q^{5} + 168 q^{6} + 24 q^{7} - 1536 q^{8} - 543 q^{9} - 56 q^{10} - 1452 q^{11} + 336 q^{12} - 688 q^{13} - 96 q^{14} - 1500 q^{15} - 3072 q^{16} + 3512 q^{17} + 1164 q^{18} - 3836 q^{19} - 112 q^{20} + 1842 q^{21} + 5808 q^{22} - 680 q^{23} - 1344 q^{24} - 7759 q^{25} - 5504 q^{26} + 3024 q^{27} - 768 q^{28} - 3210 q^{29} - 4596 q^{30} + 857 q^{31} + 12288 q^{32} - 5082 q^{33} + 7024 q^{34} + 29824 q^{35} + 13344 q^{36} + 7166 q^{37} - 7672 q^{38} - 23076 q^{39} + 448 q^{40} - 27726 q^{41} - 10680 q^{42} - 15092 q^{43} + 46464 q^{44} + 38667 q^{45} - 5440 q^{46} - 28938 q^{47} - 10752 q^{48} + 17322 q^{49} + 31036 q^{50} + 37032 q^{51} - 11008 q^{52} - 12652 q^{53} + 59832 q^{54} + 1694 q^{55} - 1536 q^{56} - 168660 q^{57} + 12840 q^{58} - 33123 q^{59} + 5616 q^{60} + 36262 q^{61} + 6856 q^{62} + 47496 q^{63} + 98304 q^{64} - 31470 q^{65} - 10164 q^{66} + 35563 q^{67} - 28096 q^{68} + 123459 q^{69} + 59648 q^{70} + 295146 q^{71} + 34752 q^{72} + 12056 q^{73} + 14332 q^{74} - 244221 q^{75} + 30688 q^{76} + 2904 q^{77} - 64200 q^{78} + 128058 q^{79} + 3584 q^{80} + 90621 q^{81} - 221808 q^{82} - 209888 q^{83} - 72192 q^{84} + 228182 q^{85} + 60368 q^{86} - 89802 q^{87} + 92928 q^{88} - 46724 q^{89} + 96972 q^{90} - 305924 q^{91} - 10880 q^{92} - 187767 q^{93} + 115752 q^{94} - 118660 q^{95} - 21504 q^{96} + 240799 q^{97} + 138576 q^{98} - 35211 q^{99}+O(q^{100}) \) 24 * q + 48 * q^2 + 21 * q^3 - 192 * q^4 - 7 * q^5 + 168 * q^6 + 24 * q^7 - 1536 * q^8 - 543 * q^9 - 56 * q^10 - 1452 * q^11 + 336 * q^12 - 688 * q^13 - 96 * q^14 - 1500 * q^15 - 3072 * q^16 + 3512 * q^17 + 1164 * q^18 - 3836 * q^19 - 112 * q^20 + 1842 * q^21 + 5808 * q^22 - 680 * q^23 - 1344 * q^24 - 7759 * q^25 - 5504 * q^26 + 3024 * q^27 - 768 * q^28 - 3210 * q^29 - 4596 * q^30 + 857 * q^31 + 12288 * q^32 - 5082 * q^33 + 7024 * q^34 + 29824 * q^35 + 13344 * q^36 + 7166 * q^37 - 7672 * q^38 - 23076 * q^39 + 448 * q^40 - 27726 * q^41 - 10680 * q^42 - 15092 * q^43 + 46464 * q^44 + 38667 * q^45 - 5440 * q^46 - 28938 * q^47 - 10752 * q^48 + 17322 * q^49 + 31036 * q^50 + 37032 * q^51 - 11008 * q^52 - 12652 * q^53 + 59832 * q^54 + 1694 * q^55 - 1536 * q^56 - 168660 * q^57 + 12840 * q^58 - 33123 * q^59 + 5616 * q^60 + 36262 * q^61 + 6856 * q^62 + 47496 * q^63 + 98304 * q^64 - 31470 * q^65 - 10164 * q^66 + 35563 * q^67 - 28096 * q^68 + 123459 * q^69 + 59648 * q^70 + 295146 * q^71 + 34752 * q^72 + 12056 * q^73 + 14332 * q^74 - 244221 * q^75 + 30688 * q^76 + 2904 * q^77 - 64200 * q^78 + 128058 * q^79 + 3584 * q^80 + 90621 * q^81 - 221808 * q^82 - 209888 * q^83 - 72192 * q^84 + 228182 * q^85 + 60368 * q^86 - 89802 * q^87 + 92928 * q^88 - 46724 * q^89 + 96972 * q^90 - 305924 * q^91 - 10880 * q^92 - 187767 * q^93 + 115752 * q^94 - 118660 * q^95 - 21504 * q^96 + 240799 * q^97 + 138576 * q^98 - 35211 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/198\mathbb{Z}\right)^\times$.

$n$	$145$	$155$
$\chi(n)$	$1$	$e\left(\frac{1}{3}\right)$

Coefficient data

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

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

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

$2$	2.00000	+	3.46410i	0.353553	+	0.612372i
$2$	2.00000	+	3.46410i	0.353553	+	0.612372i
$3$	15.2181	−	3.37772i	0.976242	−	0.216681i
$3$	15.2181	−	3.37772i	0.976242	−	0.216681i
$4$	−8.00000	+	13.8564i	−0.250000	+	0.433013i
$5$	−52.1915	+	90.3984i	−0.933631	+	1.61710i	−0.156573	+	0.987666i	$0.550045\pi$
$5$	−52.1915	+	90.3984i	−0.933631	+	1.61710i	−0.777058	+	0.629429i	$0.783289\pi$
$6$	42.1370	+	45.9617i	0.477843	+	0.521216i
$7$	64.3216	+	111.408i	0.496148	+	0.859354i	0.999990	−	0.00444170i	$-0.00141384\pi$
$7$	64.3216	+	111.408i	0.496148	+	0.859354i	−0.503842	+	0.863796i	$0.668081\pi$
$8$	−64.0000			−0.353553
$9$	220.182	−	102.805i	0.906099	−	0.423066i
$10$	−417.532			−1.32035
$11$	−60.5000	−	104.789i	−0.150756	−	0.261116i
$11$	−60.5000	−	104.789i	−0.150756	−	0.261116i
$12$	−74.9418	+	237.890i	−0.150235	+	0.476896i
$13$	−230.831	+	399.811i	−0.378823	+	0.656140i	−0.990891	−	0.134665i	$-0.957004\pi$
$13$	−230.831	+	399.811i	−0.378823	+	0.656140i	0.612069	+	0.790805i	$0.290338\pi$
$14$	−257.286	+	445.633i	−0.350830	+	0.607655i
$15$	−488.916	+	1551.98i	−0.561056	+	1.78098i
$16$	−128.000	−	221.703i	−0.125000	−	0.216506i
$17$	−63.6599			−0.0534249			−0.0267125	−	0.999643i	$-0.508504\pi$
$17$	−63.6599			−0.0534249			−0.0267125	+	0.999643i	$0.508504\pi$
$18$	796.491	+	557.123i	0.579428	+	0.405293i
$19$	−110.255			−0.0700672			−0.0350336	−	0.999386i	$-0.511154\pi$
$19$	−110.255			−0.0700672			−0.0350336	+	0.999386i	$0.511154\pi$
$20$	−835.065	−	1446.37i	−0.466815	−	0.808548i
$21$	1355.16	+	1478.16i	0.670567	+	0.731432i
$22$	242.000	−	419.156i	0.106600	−	0.184637i
$23$	−321.236	+	556.396i	−0.126621	+	0.219313i	−0.922365	−	0.386319i	$-0.873746\pi$
$23$	−321.236	+	556.396i	−0.126621	+	0.219313i	0.795745	+	0.605632i	$0.207080\pi$
$24$	−973.959	+	216.174i	−0.345154	+	0.0766083i
$25$	−3885.41	−	6729.74i	−1.24333	−	2.15352i
$26$	−1846.65			−0.535736
$27$	3003.51	−	2308.21i	0.792902	−	0.609350i
$28$	−2058.29			−0.496148
$29$	−1858.97	−	3219.83i	−0.410466	−	0.710948i	0.584475	−	0.811412i	$-0.301301\pi$
$29$	−1858.97	−	3219.83i	−0.410466	−	0.710948i	−0.994941	+	0.100464i	$0.967967\pi$
$30$	−6354.06	+	1410.31i	−1.28898	+	0.286095i
$31$	−786.612	+	1362.45i	−0.147013	+	0.254634i	−0.930122	−	0.367250i	$-0.880299\pi$
$31$	−786.612	+	1362.45i	−0.147013	+	0.254634i	0.783109	+	0.621884i	$0.213633\pi$
$32$	512.000	−	886.810i	0.0883883	−	0.153093i
$33$	−1274.64	−	1390.34i	−0.203753	−	0.222247i
$34$	−127.320	−	220.525i	−0.0188886	−	0.0327160i
$35$	−13428.2			−1.85288
$36$	−336.947	+	3873.37i	−0.0433317	+	0.498119i
$37$	6910.69			0.829883			0.414942	−	0.909848i	$-0.363802\pi$
$37$	6910.69			0.829883			0.414942	+	0.909848i	$0.363802\pi$
$38$	−220.510	−	381.935i	−0.0247725	−	0.0429072i
$39$	−2162.36	+	6864.05i	−0.227650	+	0.722635i
$40$	3340.26	−	5785.50i	0.330088	−	0.571730i
$41$	−8720.04	+	15103.6i	−0.810138	+	1.40320i	0.102629	+	0.994720i	$0.467275\pi$
$41$	−8720.04	+	15103.6i	−0.810138	+	1.40320i	−0.912767	+	0.408481i	$0.866059\pi$
$42$	−2410.19	+	7650.74i	−0.210828	+	0.669237i
$43$	−7326.70	−	12690.2i	−0.604279	−	1.04664i	−0.992165	−	0.124934i	$-0.960128\pi$
$43$	−7326.70	−	12690.2i	−0.604279	−	1.04664i	0.387886	−	0.921707i	$-0.373205\pi$
$44$	1936.00			0.150756
$45$	−2198.22	+	25269.7i	−0.161823	+	1.86024i
$46$	−2569.88			−0.179068
$47$	10326.3	+	17885.7i	0.681867	+	1.18103i	0.974410	+	0.224776i	$0.0721651\pi$
$47$	10326.3	+	17885.7i	0.681867	+	1.18103i	−0.292543	+	0.956252i	$0.594502\pi$
$48$	−2696.77	−	2941.55i	−0.168943	−	0.184278i
$49$	128.968	−	223.379i	0.00767345	−	0.0132908i
$50$	15541.7	−	26918.9i	0.879169	−	1.52277i
$51$	−968.784	+	215.026i	−0.0521557	+	0.0115762i
$52$	−3693.30	−	6396.98i	−0.189411	−	0.328070i
$53$	−23101.3			−1.12966			−0.564829	−	0.825208i	$-0.691058\pi$
$53$	−23101.3			−1.12966			−0.564829	+	0.825208i	$0.691058\pi$
$54$	14002.9	+	5788.03i	0.653482	+	0.270114i
$55$	12630.4			0.563001
$56$	−4116.58	−	7130.13i	−0.175415	−	0.303828i
$57$	−1677.88	+	372.411i	−0.0684026	+	0.0151822i
$58$	7435.88	−	12879.3i	0.290243	−	0.502716i
$59$	1608.38	−	2785.79i	0.0601531	−	0.104188i	−0.834381	−	0.551189i	$-0.814174\pi$
$59$	1608.38	−	2785.79i	0.0601531	−	0.104188i	0.894534	+	0.447000i	$0.147508\pi$
$60$	−17593.6	−	19190.5i	−0.630922	−	0.688189i
$61$	25858.5	+	44788.2i	0.889772	+	1.54113i	0.840144	+	0.542363i	$0.182470\pi$
$61$	25858.5	+	44788.2i	0.889772	+	1.54113i	0.0496276	+	0.998768i	$0.484197\pi$
$62$	−6292.89			−0.207908
$63$	25615.8	+	17917.5i	0.813123	+	0.568756i
$64$	4096.00			0.125000
$65$	−24094.9	−	41733.5i	−0.707361	−	1.22518i
$66$	2266.99	−	7196.18i	0.0640604	−	0.203349i
$67$	−24055.8	+	41665.8i	−0.654685	+	1.13395i	0.327288	+	0.944925i	$0.393865\pi$
$67$	−24055.8	+	41665.8i	−0.654685	+	1.13395i	−0.981973	+	0.189023i	$0.939468\pi$
$68$	509.280	−	882.098i	0.0133562	−	0.0231337i
$69$	−3009.25	+	9552.35i	−0.0760913	+	0.241539i
$70$	−26856.3	−	46516.5i	−0.655091	−	1.13465i
$71$	−62086.2			−1.46167			−0.730835	−	0.682555i	$-0.760869\pi$
$71$	−62086.2			−1.46167			−0.730835	+	0.682555i	$0.760869\pi$
$72$	−14091.6	+	6579.53i	−0.320354	+	0.149576i
$73$	36940.9			0.811336			0.405668	−	0.914020i	$-0.367039\pi$
$73$	36940.9			0.811336			0.405668	+	0.914020i	$0.367039\pi$
$74$	13821.4	+	23939.3i	0.293408	+	0.508198i
$75$	−81859.9	−	89290.0i	−1.68042	−	1.83295i
$76$	882.041	−	1527.74i	0.0175168	−	0.0303400i
$77$	7782.91	−	13480.4i	0.149594	−	0.259105i
$78$	−28102.5	+	6237.46i	−0.523008	+	0.116084i
$79$	−14386.6	−	24918.3i	−0.259352	−	0.449210i	0.706717	−	0.707497i	$-0.250176\pi$
$79$	−14386.6	−	24918.3i	−0.259352	−	0.449210i	−0.966068	+	0.258286i	$0.916842\pi$
$80$	26722.1			0.466815
$81$	37911.2	−	45271.7i	0.642030	−	0.766680i
$82$	−69760.4			−1.14571
$83$	−3595.39	−	6227.40i	−0.0572863	−	0.0992228i	0.835960	−	0.548790i	$-0.184911\pi$
$83$	−3595.39	−	6227.40i	−0.0572863	−	0.0992228i	−0.893246	+	0.449568i	$0.851578\pi$
$84$	−31323.3	+	6952.33i	−0.484361	+	0.107506i
$85$	3322.51	−	5754.76i	0.0498792	−	0.0863932i
$86$	29306.8	−	50760.9i	0.427290	−	0.740087i
$87$	−39165.7	−	42720.7i	−0.554763	−	0.605118i
$88$	3872.00	+	6706.50i	0.0533002	+	0.0923186i
$89$	56273.7			0.753061			0.376531	−	0.926404i	$-0.377117\pi$
$89$	56273.7			0.753061			0.376531	+	0.926404i	$0.377117\pi$
$90$	−91933.1	+	42924.5i	−1.19637	+	0.558597i
$91$	−59389.7			−0.751809
$92$	−5139.77	−	8902.34i	−0.0633103	−	0.109657i
$93$	−7368.77	+	23390.9i	−0.0883461	+	0.280440i
$94$	−41305.2	+	71542.7i	−0.482153	+	0.835113i
$95$	5754.39	−	9966.89i	0.0654169	−	0.113305i
$96$	4796.28	−	15225.0i	0.0531161	−	0.168608i
$97$	23006.4	+	39848.2i	0.248267	+	0.430011i	0.963045	−	0.269340i	$-0.0868056\pi$
$97$	23006.4	+	39848.2i	0.248267	+	0.430011i	−0.714778	+	0.699351i	$0.753472\pi$
$98$	1031.74			0.0108519
$99$	−24093.9	−	16853.0i	−0.247069	−	0.172818i
$100$	124333.			1.24333
$101$	39355.4	+	68165.5i	0.383884	+	0.664907i	0.991614	−	0.129237i	$-0.0412528\pi$
$101$	39355.4	+	68165.5i	0.383884	+	0.664907i	−0.607729	+	0.794144i	$0.707919\pi$
$102$	−2682.44	−	2925.92i	−0.0255287	−	0.0278459i
$103$	65831.1	−	114023.i	0.611418	−	1.05901i	−0.379584	−	0.925157i	$-0.623933\pi$
$103$	65831.1	−	114023.i	0.611418	−	1.05901i	0.991002	−	0.133850i	$-0.0427339\pi$
$104$	14773.2	−	25587.9i	0.133934	−	0.231980i
$105$	−204351.	+	45356.6i	−1.80886	+	0.401483i
$106$	−46202.6	−	80025.3i	−0.399394	−	0.691771i
$107$	−11594.3			−0.0979009			−0.0489505	−	0.998801i	$-0.515588\pi$
$107$	−11594.3			−0.0979009			−0.0489505	+	0.998801i	$0.515588\pi$
$108$	7955.47	+	60083.5i	0.0656306	+	0.495674i
$109$	238005.			1.91876			0.959379	−	0.282120i	$-0.0910376\pi$
$109$	238005.			1.91876			0.959379	+	0.282120i	$0.0910376\pi$
$110$	25260.7	+	43752.8i	0.199051	+	0.344766i
$111$	105168.	−	23342.4i	0.810167	−	0.179820i
$112$	16466.3	−	28520.5i	0.124037	−	0.214839i
$113$	−109965.	+	190465.i	−0.810135	+	1.40320i	0.102634	+	0.994719i	$0.467273\pi$
$113$	−109965.	+	190465.i	−0.810135	+	1.40320i	−0.912769	+	0.408476i	$0.866060\pi$
$114$	−4645.82	−	5067.51i	−0.0334811	−	0.0365201i
$115$	−33531.6	−	58078.4i	−0.236434	−	0.409515i
$116$	59487.0			0.410466
$117$	−9722.23	+	111762.i	−0.0656600	+	0.754795i
$118$	12867.0			0.0850693
$119$	−4094.71	−	7092.24i	−0.0265067	−	0.0459109i
$120$	31290.6	−	99326.8i	0.198363	−	0.629671i
$121$	−7320.50	+	12679.5i	−0.0454545	+	0.0787296i
$122$	−103434.	+	179153.i	−0.629164	+	1.08974i
$123$	−81687.0	+	259302.i	−0.486845	+	1.54541i
$124$	−12585.8	−	21799.2i	−0.0735066	−	0.127317i
$125$	484946.			2.77599
$126$	−10836.5	+	124571.i	−0.0608082	+	0.699020i
$127$	225653.			1.24146			0.620729	−	0.784025i	$-0.286837\pi$
$127$	225653.			1.24146			0.620729	+	0.784025i	$0.286837\pi$
$128$	8192.00	+	14189.0i	0.0441942	+	0.0765466i
$129$	−154363.	−	168374.i	−0.816710	−	0.890840i
$130$	96379.4	−	166934.i	0.500180	−	0.866336i
$131$	78397.9	−	135789.i	0.399141	−	0.691332i	−0.594479	−	0.804111i	$-0.702642\pi$
$131$	78397.9	−	135789.i	0.399141	−	0.691332i	0.993620	+	0.112779i	$0.0359752\pi$
$132$	29462.3	−	6539.27i	0.147174	−	0.0326659i
$133$	−7091.78	−	12283.3i	−0.0347637	−	0.0602126i
$134$	−192446.			−0.925864
$135$	51901.1	+	391982.i	0.245099	+	1.85111i
$136$	4074.24			0.0188886
$137$	123534.	+	213966.i	0.562320	+	0.973967i	0.997293	+	0.0735236i	$0.0234244\pi$
$137$	123534.	+	213966.i	0.562320	+	0.973967i	−0.434973	+	0.900443i	$0.643242\pi$
$138$	−39108.8	+	8680.35i	−0.174814	+	0.0388007i
$139$	40051.7	−	69371.6i	0.175826	−	0.304540i	−0.764621	−	0.644481i	$-0.777074\pi$
$139$	40051.7	−	69371.6i	0.175826	−	0.304540i	0.940447	+	0.339940i	$0.110407\pi$
$140$	107425.	−	186066.i	0.463219	−	0.802320i
$141$	217559.	+	237307.i	0.921574	+	1.00522i
$142$	−124172.	−	215073.i	−0.516778	−	0.895086i
$143$	55861.1			0.228439
$144$	−50975.4	−	35655.8i	−0.204859	−	0.143293i
$145$	388090.			1.53290
$146$	73881.9	+	127967.i	0.286851	+	0.496840i
$147$	1208.13	−	3835.02i	0.00461129	−	0.0146377i
$148$	−55285.5	+	95757.3i	−0.207471	+	0.359350i
$149$	−234088.	+	405453.i	−0.863802	+	1.49615i	0.00442999	+	0.999990i	$0.498590\pi$
$149$	−234088.	+	405453.i	−0.863802	+	1.49615i	−0.868232	+	0.496159i	$0.834743\pi$
$150$	145590.	−	462151.i	0.528328	−	1.67709i
$151$	−51075.4	−	88465.3i	−0.182293	−	0.315741i	0.760368	−	0.649492i	$-0.225019\pi$
$151$	−51075.4	−	88465.3i	−0.182293	−	0.315741i	−0.942661	+	0.333752i	$0.891685\pi$
$152$	7056.33			0.0247725
$153$	−14016.8	+	6544.57i	−0.0484083	+	0.0226023i
$154$	62263.3			0.211558
$155$	−82109.0	−	142217.i	−0.274512	−	0.475469i
$156$	−77812.2	−	84875.0i	−0.255998	−	0.279234i
$157$	120767.	−	209174.i	0.391020	−	0.677266i	−0.601564	−	0.798824i	$-0.705456\pi$
$157$	120767.	−	209174.i	0.391020	−	0.677266i	0.992584	+	0.121558i	$0.0387890\pi$
$158$	57546.2	−	99673.0i	0.183389	−	0.317640i
$159$	−351558.	+	78029.8i	−1.10282	+	0.244775i
$160$	53444.1	+	92568.0i	0.165044	+	0.285865i
$161$	−82649.5			−0.251290
$162$	232648.	+	40785.0i	0.696485	+	0.122099i
$163$	−621421.			−1.83197			−0.915983	−	0.401218i	$-0.868587\pi$
$163$	−621421.			−1.83197			−0.915983	+	0.401218i	$0.868587\pi$
$164$	−139521.	−	241657.i	−0.405069	−	0.701600i
$165$	192210.	−	42661.8i	0.549625	−	0.121991i
$166$	14381.6	−	24909.6i	0.0405075	−	0.0701611i
$167$	−279898.	+	484798.i	−0.776621	+	1.34515i	0.157258	+	0.987558i	$0.449735\pi$
$167$	−279898.	+	484798.i	−0.776621	+	1.34515i	−0.933879	+	0.357589i	$0.883599\pi$
$168$	−86730.2	−	94602.4i	−0.237081	−	0.258600i
$169$	79080.6	+	136972.i	0.212987	+	0.368904i
$170$	26580.1			0.0705398
$171$	−24276.2	+	11334.8i	−0.0634878	+	0.0296431i
$172$	234454.			0.604279
$173$	−147200.	−	254958.i	−0.373931	−	0.647668i	0.616235	−	0.787562i	$-0.288657\pi$
$173$	−147200.	−	254958.i	−0.373931	−	0.647668i	−0.990166	+	0.139894i	$0.955324\pi$
$174$	69657.3	−	221115.i	0.174419	−	0.553663i
$175$	499832.	−	865735.i	1.23376	−	2.13693i
$176$	−15488.0	+	26826.0i	−0.0376889	+	0.0652791i
$177$	15066.8	−	47827.1i	0.0361484	−	0.114747i
$178$	112547.	+	194938.i	0.266247	+	0.461154i
$179$	724891.			1.69099			0.845494	−	0.533986i	$-0.179306\pi$
$179$	724891.			1.69099			0.845494	+	0.533986i	$0.179306\pi$
$180$	−332561.	−	232617.i	−0.765050	−	0.535130i
$181$	547027.			1.24112			0.620558	−	0.784160i	$-0.286906\pi$
$181$	547027.			1.24112			0.620558	+	0.784160i	$0.286906\pi$
$182$	−118779.	−	205732.i	−0.265805	−	0.460387i
$183$	544800.	+	594250.i	1.20257	+	1.31172i
$184$	20559.1	−	35609.4i	0.0447671	−	0.0775389i
$185$	−360679.	+	624715.i	−0.774804	+	1.34200i
$186$	−95766.0	+	21255.6i	−0.202969	+	0.0450497i
$187$	3851.43	+	6670.87i	0.00805411	+	0.0139501i
$188$	−330441.			−0.681867
$189$	450344.	+	186148.i	0.917044	+	0.379056i
$190$	46035.1			0.0925135
$191$	159045.	+	275473.i	0.315454	+	0.546382i	0.979534	−	0.201280i	$-0.0645100\pi$
$191$	159045.	+	275473.i	0.315454	+	0.546382i	−0.664080	+	0.747661i	$0.731177\pi$
$192$	62333.4	−	13835.1i	0.122030	−	0.0270851i
$193$	−154049.	+	266821.i	−0.297691	+	0.515616i	−0.975607	−	0.219523i	$-0.929550\pi$
$193$	−154049.	+	266821.i	−0.297691	+	0.515616i	0.677916	+	0.735139i	$0.262883\pi$
$194$	−92025.6	+	159393.i	−0.175551	+	0.304064i
$195$	−507642.	−	553720.i	−0.956030	−	1.04281i
$196$	2063.48	+	3574.06i	0.00383673	+	0.00664540i
$197$	618438.			1.13535			0.567676	−	0.823252i	$-0.307843\pi$
$197$	618438.			1.13535			0.567676	+	0.823252i	$0.307843\pi$
$198$	10192.6	−	117170.i	0.0184767	−	0.212399i
$199$	−524004.			−0.937998			−0.468999	−	0.883199i	$-0.655385\pi$
$199$	−524004.			−0.937998			−0.468999	+	0.883199i	$0.655385\pi$
$200$	248667.	+	430703.i	0.439584	+	0.761383i
$201$	−225348.	+	715329.i	−0.393426	+	1.24887i
$202$	−157421.	+	272662.i	−0.271447	+	0.470160i
$203$	239144.	−	414209.i	0.407304	−	0.705472i
$204$	4770.79	−	15144.1i	0.00802630	−	0.0254781i
$205$	−910225.	−	1.57656e6i	−1.51274	−	2.62014i
$206$	526649.			0.864676
$207$	−13529.9	+	155533.i	−0.0219467	+	0.252288i
$208$	118185.			0.189411
$209$	6670.43	+	11553.5i	0.0105630	+	0.0182957i
$210$	−565823.	−	617181.i	−0.885385	−	0.965749i
$211$	113546.	−	196667.i	0.175576	−	0.304106i	−0.764785	−	0.644286i	$-0.777155\pi$
$211$	113546.	−	196667.i	0.175576	−	0.304106i	0.940360	+	0.340180i	$0.110488\pi$
$212$	184811.	−	320101.i	0.282415	−	0.489156i
$213$	−944835.	+	209710.i	−1.42694	+	0.316716i
$214$	−23188.7	−	40164.0i	−0.0346132	−	0.0599518i
$215$	1.52957e6			2.25669
$216$	−192225.	+	147726.i	−0.280333	+	0.215438i
$217$	−202384.			−0.291761
$218$	476010.	+	824474.i	0.678384	+	1.17499i
$219$	562171.	−	124776.i	0.792061	−	0.175801i
$220$	−101043.	+	175011.i	−0.140750	+	0.243786i
$221$	14694.7	−	25452.0i	0.0202386	−	0.0350542i
$222$	291196.	+	317627.i	0.396554	+	0.432548i
$223$	95075.1	+	164675.i	0.128028	+	0.221751i	0.922912	−	0.385010i	$-0.125802\pi$
$223$	95075.1	+	164675.i	0.128028	+	0.221751i	−0.794885	+	0.606761i	$0.792469\pi$
$224$	131731.			0.175415
$225$	−1.54735e6	−	1.08233e6i	−2.03766	−	1.42529i
$226$	−879718.			−1.14570
$227$	246647.	+	427206.i	0.317696	+	0.550266i	0.980007	−	0.198963i	$-0.0637575\pi$
$227$	246647.	+	427206.i	0.317696	+	0.550266i	−0.662311	+	0.749229i	$0.730424\pi$
$228$	8262.72	−	26228.6i	0.0105265	−	0.0334147i
$229$	646749.	−	1.12020e6i	0.814980	−	1.41159i	−0.0943618	−	0.995538i	$-0.530081\pi$
$229$	646749.	−	1.12020e6i	0.814980	−	1.41159i	0.909342	−	0.416049i	$-0.136586\pi$
$230$	134126.	−	232313.i	0.167184	−	0.289571i
$231$	72908.2	−	231435.i	0.0898973	−	0.285364i
$232$	118974.	+	206069.i	0.145122	+	0.251358i
$233$	−1.11832e6			−1.34951			−0.674755	−	0.738042i	$-0.735751\pi$
$233$	−1.11832e6			−1.34951			−0.674755	+	0.738042i	$0.735751\pi$
$234$	−406599.	+	189845.i	−0.485430	+	0.226652i
$235$	−2.15578e6			−2.54645
$236$	25734.0	+	44572.7i	0.0300765	+	0.0520941i
$237$	−303103.	−	330615.i	−0.350526	−	0.382342i
$238$	16378.8	−	28369.0i	0.0187431	−	0.0324639i
$239$	−441084.	+	763980.i	−0.499489	+	0.865141i	−1.00000		0.000589424i	$-0.999812\pi$
$239$	−441084.	+	763980.i	−0.499489	+	0.865141i	0.500510	+	0.865731i	$0.333146\pi$
$240$	406660.	−	90259.7i	0.455725	−	0.101150i
$241$	207949.	+	360179.i	0.230630	+	0.399462i	0.957994	−	0.286790i	$-0.0925881\pi$
$241$	207949.	+	360179.i	0.230630	+	0.399462i	−0.727364	+	0.686252i	$0.759255\pi$
$242$	−58564.0			−0.0642824
$243$	424022.	−	817003.i	0.460652	−	0.887581i
$244$	−827472.			−0.889772
$245$	13462.0	+	23317.0i	0.0143283	+	0.0248174i
$246$	−1.06162e6	+	235631.i	−1.11849	+	0.248253i
$247$	25450.3	−	44081.2i	0.0265430	−	0.0459739i
$248$	50343.1	−	87196.9i	0.0519770	−	0.0900268i
$249$	−75749.5	−	82625.0i	−0.0774250	−	0.0844526i
$250$	969892.	+	1.67990e6i	0.981462	+	1.69994i
$251$	830582.			0.832144			0.416072	−	0.909332i	$-0.363407\pi$
$251$	830582.			0.832144			0.416072	+	0.909332i	$0.363407\pi$
$252$	−453199.	+	211603.i	−0.449559	+	0.209904i
$253$	77739.0			0.0763550
$254$	451307.	+	781686.i	0.438922	+	0.760235i
$255$	31124.4	−	98799.1i	0.0299744	−	0.0951486i
$256$	−32768.0	+	56755.8i	−0.0312500	+	0.0541266i
$257$	476570.	−	825443.i	0.450084	−	0.779568i	−0.548307	−	0.836277i	$-0.684727\pi$
$257$	476570.	−	825443.i	0.450084	−	0.779568i	0.998391	+	0.0567089i	$0.0180607\pi$
$258$	274538.	−	871475.i	0.256775	−	0.815090i
$259$	444506.	+	769908.i	0.411745	+	0.713164i
$260$	771035.			0.707361
$261$	−740327.	−	517837.i	−0.672701	−	0.470535i
$262$	627183.			0.564470
$263$	96163.9	+	166561.i	0.0857280	+	0.148485i	0.905701	−	0.423917i	$-0.139345\pi$
$263$	96163.9	+	166561.i	0.0857280	+	0.148485i	−0.819973	+	0.572402i	$0.806012\pi$
$264$	81577.2	+	88981.8i	0.0720376	+	0.0785762i
$265$	1.20569e6	−	2.08832e6i	1.05468	−	1.82677i
$266$	28367.1	−	49133.3i	0.0245817	−	0.0425767i
$267$	856379.	−	190077.i	0.735171	−	0.163174i
$268$	−384892.	−	666653.i	−0.327342	−	0.566974i
$269$	−200250.			−0.168729			−0.0843647	−	0.996435i	$-0.526886\pi$
$269$	−200250.			−0.168729			−0.0843647	+	0.996435i	$0.526886\pi$
$270$	−1.25406e6	+	963754.i	−1.04691	+	0.804557i
$271$	−1.51452e6			−1.25271			−0.626355	−	0.779538i	$-0.715454\pi$
$271$	−1.51452e6			−1.25271			−0.626355	+	0.779538i	$0.715454\pi$
$272$	8148.47	+	14113.6i	0.00667812	+	0.0115668i
$273$	−903799.	+	200602.i	−0.733948	+	0.162903i
$274$	−494134.	+	855866.i	−0.397620	+	0.688699i
$275$	−470135.	+	814298.i	−0.374879	+	0.649309i
$276$	−108287.	−	118116.i	−0.0855666	−	0.0933333i
$277$	774168.	+	1.34090e6i	0.606227	+	1.05002i	0.991856	+	0.127363i	$0.0406512\pi$
$277$	774168.	+	1.34090e6i	0.606227	+	1.05002i	−0.385629	+	0.922654i	$0.626015\pi$
$278$	320414.			0.248656
$279$	−33130.8	+	380855.i	−0.0254813	+	0.292920i
$280$	859403.			0.655091
$281$	−14906.0	−	25818.0i	−0.0112615	−	0.0195055i	0.860340	−	0.509721i	$-0.170251\pi$
$281$	−14906.0	−	25818.0i	−0.0112615	−	0.0195055i	−0.871601	+	0.490216i	$0.836918\pi$
$282$	−386936.	+	1.22826e6i	−0.289745	+	0.919746i
$283$	−661206.	+	1.14524e6i	−0.490762	+	0.850025i	−0.999943	−	0.0106344i	$-0.996615\pi$
$283$	−661206.	+	1.14524e6i	−0.490762	+	0.850025i	0.509181	+	0.860659i	$0.329948\pi$
$284$	496690.	−	860291.i	0.365417	−	0.632921i
$285$	53905.5	−	171114.i	0.0393116	−	0.124788i
$286$	111722.	+	193509.i	0.0807652	+	0.139890i
$287$	−2.24355e6			−1.60779
$288$	21564.6	−	247896.i	0.0153201	−	0.176112i
$289$	−1.41580e6			−0.997146
$290$	776180.	+	1.34438e6i	0.541960	+	0.938703i
$291$	484710.	+	528706.i	0.335544	+	0.366000i
$292$	−295528.	+	511869.i	−0.202834	+	0.351319i
$293$	−1.11612e6	+	1.93317e6i	−0.759524	+	1.31553i	0.183570	+	0.983007i	$0.441235\pi$
$293$	−1.11612e6	+	1.93317e6i	−0.759524	+	1.31553i	−0.943094	+	0.332527i	$0.892099\pi$
$294$	15701.2	−	3484.94i	0.0105941	−	0.00235140i
$295$	167887.	+	290789.i	0.112322	+	0.194547i
$296$	−442284.			−0.293408
$297$	−423588.	−	175088.i	−0.278646	−	0.115177i
$298$	−1.87271e6			−1.22160
$299$	−148302.	−	256867.i	−0.0959334	−	0.166162i
$300$	1.89212e6	−	419963.i	1.21379	−	0.269406i
$301$	942530.	−	1.63251e6i	0.599624	−	1.03858i
$302$	204302.	−	353861.i	0.128901	−	0.223262i
$303$	829158.	+	904419.i	0.518837	+	0.565930i
$304$	14112.7	+	24443.8i	0.00875840	+	0.0151700i
$305$	−5.39838e6			−3.32287
$306$	−50704.6	−	35466.4i	−0.0309559	−	0.0216528i
$307$	441165.			0.267150			0.133575	−	0.991039i	$-0.457354\pi$
$307$	441165.			0.267150			0.133575	+	0.991039i	$0.457354\pi$
$308$	124527.	+	215686.i	0.0747972	+	0.129553i
$309$	616688.	−	1.95757e6i	0.367426	−	1.16633i
$310$	328436.	−	568868.i	0.194109	−	0.336207i
$311$	−313375.	+	542782.i	−0.183723	+	0.318218i	−0.943145	−	0.332380i	$-0.892148\pi$
$311$	−313375.	+	542782.i	−0.183723	+	0.318218i	0.759422	+	0.650598i	$0.225482\pi$
$312$	138391.	−	439299.i	0.0804863	−	0.255490i
$313$	−1.29584e6	−	2.24446e6i	−0.747637	−	1.29495i	−0.948953	−	0.315419i	$-0.897855\pi$
$313$	−1.29584e6	−	2.24446e6i	−0.747637	−	1.29495i	0.201316	−	0.979526i	$-0.435478\pi$
$314$	966135.			0.552986
$315$	−2.95664e6	+	1.38048e6i	−1.67889	+	0.783890i
$316$	460370.			0.259352
$317$	−1.48614e6	−	2.57408e6i	−0.830640	−	1.43871i	−0.897532	−	0.440950i	$-0.854642\pi$
$317$	−1.48614e6	−	2.57408e6i	−0.830640	−	1.43871i	0.0668919	−	0.997760i	$-0.478692\pi$
$318$	−973420.	−	1.06177e6i	−0.539799	−	0.588796i
$319$	−224935.	+	389600.i	−0.123760	+	0.214359i
$320$	−213777.	+	370272.i	−0.116704	+	0.202137i
$321$	−176444.	+	39162.5i	−0.0955750	+	0.0212133i
$322$	−165299.	−	286306.i	−0.0888445	−	0.153883i
$323$	7018.84			0.00374334
$324$	324013.	+	887487.i	0.171474	+	0.469677i
$325$	3.58750e6			1.88401
$326$	−1.24284e6	−	2.15267e6i	−0.647698	−	1.12185i
$327$	3.62199e6	−	803915.i	1.87317	−	0.415758i
$328$	558083.	−	966628.i	0.286427	−	0.496106i
$329$	−1.32841e6	+	2.30087e6i	−0.676615	+	1.17193i
$330$	532205.	+	580512.i	0.269026	+	0.293445i
$331$	1.00261e6	+	1.73657e6i	0.502992	+	0.871208i	0.999994	+	0.00345868i	$0.00110093\pi$
$331$	1.00261e6	+	1.73657e6i	0.502992	+	0.871208i	−0.497002	+	0.867750i	$0.665566\pi$
$332$	115052.			0.0572863
$333$	1.52161e6	−	710454.i	0.751956	−	0.351096i
$334$	−2.23919e6			−1.09831
$335$	−2.51102e6	−	4.34921e6i	−1.22247	−	2.11738i
$336$	154252.	−	489647.i	0.0745389	−	0.236611i
$337$	924964.	−	1.60209e6i	0.443660	−	0.768442i	−0.554298	−	0.832318i	$-0.687013\pi$
$337$	924964.	−	1.60209e6i	0.443660	−	0.768442i	0.997958	+	0.0638768i	$0.0203465\pi$
$338$	−316322.	+	547886.i	−0.150605	+	0.260855i
$339$	−1.03012e6	+	3.26994e6i	−0.486843	+	1.54540i
$340$	53160.2	+	92076.1i	0.0249396	+	0.0431966i
$341$	190360.			0.0886523
$342$	−87817.2	−	61425.6i	−0.0405989	−	0.0283978i
$343$	2.19529e6			1.00753
$344$	468909.	+	812174.i	0.213645	+	0.370044i
$345$	−706460.	−	770583.i	−0.319551	−	0.348555i
$346$	588799.	−	1.01983e6i	0.264409	−	0.457971i
$347$	1.84681e6	−	3.19876e6i	0.823375	−	1.42613i	−0.0797802	−	0.996812i	$-0.525422\pi$
$347$	1.84681e6	−	3.19876e6i	0.823375	−	1.42613i	0.903155	−	0.429315i	$-0.141245\pi$
$348$	905281.	−	200931.i	0.400715	−	0.0889402i
$349$	1.19572e6	+	2.07104e6i	0.525490	+	0.910175i	0.999559	+	0.0296875i	$0.00945123\pi$
$349$	1.19572e6	+	2.07104e6i	0.525490	+	0.910175i	−0.474069	+	0.880487i	$0.657215\pi$
$350$	3.99866e6			1.74479
$351$	229546.	+	1.73364e6i	0.0994495	+	0.751090i
$352$	−123904.			−0.0533002
$353$	−173264.	−	300101.i	−0.0740066	−	0.128183i	0.826647	−	0.562720i	$-0.190245\pi$
$353$	−173264.	−	300101.i	−0.0740066	−	0.128183i	−0.900654	+	0.434537i	$0.856912\pi$
$354$	195812.	−	43461.2i	0.0830483	−	0.0184329i
$355$	3.24037e6	−	5.61249e6i	1.36466	−	2.36366i
$356$	−450190.	+	779751.i	−0.188265	+	0.326085i
$357$	−86269.4	−	94099.8i	−0.0358250	−	0.0390767i
$358$	1.44978e6	+	2.51110e6i	0.597854	+	1.03551i
$359$	1.32381e6			0.542113			0.271057	−	0.962563i	$-0.412627\pi$
$359$	1.32381e6			0.542113			0.271057	+	0.962563i	$0.412627\pi$
$360$	140686.	−	1.61726e6i	0.0572131	−	0.657693i
$361$	−2.46394e6			−0.995091
$362$	1.09405e6	+	1.89496e6i	0.438801	+	0.760025i
$363$	−68576.5	+	217684.i	−0.0273155	+	0.0867083i
$364$	475117.	−	822927.i	0.187952	−	0.325543i
$365$	−1.92800e6	+	3.33940e6i	−0.757488	+	1.31201i
$366$	−968942.	+	3.07574e6i	−0.378090	+	1.20018i
$367$	−1.59198e6	−	2.75739e6i	−0.616981	−	1.06864i	−0.990034	−	0.140832i	$-0.955022\pi$
$367$	−1.59198e6	−	2.75739e6i	−0.616981	−	1.06864i	0.373053	−	0.927810i	$-0.378311\pi$
$368$	164473.			0.0633103
$369$	−367274.	+	4.22200e6i	−0.140418	+	1.61418i
$370$	−2.88544e6			−1.09574
$371$	−1.48591e6	−	2.57368e6i	−0.560478	−	0.970776i
$372$	−265164.	−	289232.i	−0.0993474	−	0.108365i
$373$	−2.08191e6	+	3.60598e6i	−0.774801	+	1.34200i	0.160105	+	0.987100i	$0.448817\pi$
$373$	−2.08191e6	+	3.60598e6i	−0.774801	+	1.34200i	−0.934906	+	0.354895i	$0.884517\pi$
$374$	−15405.7	+	26683.5i	−0.00569512	+	0.00986423i
$375$	7.37996e6	−	1.63801e6i	2.71004	−	0.601505i
$376$	−660883.	−	1.14468e6i	−0.241076	−	0.417557i
$377$	1.71643e6			0.621975
$378$	255854.	+	1.93233e6i	0.0921008	+	0.695589i
$379$	4.57175e6			1.63487			0.817437	−	0.576018i	$-0.195394\pi$
$379$	4.57175e6			1.63487			0.817437	+	0.576018i	$0.195394\pi$
$380$	92070.2	+	159470.i	0.0327084	+	0.0566527i
$381$	3.43402e6	−	762194.i	1.21196	−	0.269000i
$382$	−636179.	+	1.10189e6i	−0.223059	+	0.386350i
$383$	1.69239e6	−	2.93130e6i	0.589526	−	1.02109i	−0.404769	−	0.914419i	$-0.632648\pi$
$383$	1.69239e6	−	2.93130e6i	0.589526	−	1.02109i	0.994295	−	0.106669i	$-0.0340186\pi$
$384$	172593.	+	188259.i	0.0597304	+	0.0651520i
$385$	812404.	+	1.40713e6i	0.279332	+	0.483817i
$386$	−1.23239e6			−0.420999
$387$	−2.91783e6	−	2.04094e6i	−0.990335	−	0.692711i
$388$	−736204.			−0.248267
$389$	541807.	+	938438.i	0.181539	+	0.314436i	0.942405	−	0.334474i	$-0.108559\pi$
$389$	541807.	+	938438.i	0.181539	+	0.314436i	−0.760866	+	0.648910i	$0.775225\pi$
$390$	902856.	−	2.86596e6i	0.300578	−	0.954134i
$391$	20449.8	−	35420.2i	0.00676469	−	0.0117168i
$392$	−8253.93	+	14296.2i	−0.00271298	+	0.00469901i
$393$	734410.	−	2.33126e6i	0.239860	−	0.761394i
$394$	1.23688e6	+	2.14233e6i	0.401407	+	0.695258i
$395$	3.00343e6			0.968555
$396$	426272.	−	199031.i	0.136600	−	0.0637796i
$397$	3.89190e6			1.23933			0.619663	−	0.784868i	$-0.287269\pi$
$397$	3.89190e6			1.23933			0.619663	+	0.784868i	$0.287269\pi$
$398$	−1.04801e6	−	1.81520e6i	−0.331632	−	0.574404i
$399$	−149413.	−	162975.i	−0.0469847	−	0.0512494i
$400$	−994666.	+	1.72281e6i	−0.310833	+	0.538379i
$401$	610257.	−	1.05700e6i	0.189519	−	0.328256i	−0.755571	−	0.655067i	$-0.772641\pi$
$401$	610257.	−	1.05700e6i	0.189519	−	0.328256i	0.945090	+	0.326811i	$0.105974\pi$
$402$	−2.92867e6	+	650030.i	−0.903868	+	0.200617i
$403$	−363149.	−	628992.i	−0.111384	−	0.192922i
$404$	−1.25937e6			−0.383884
$405$	2.11384e6	+	5.78991e6i	0.640375	+	1.75402i
$406$	1.91315e6			0.576015
$407$	−418097.	−	724165.i	−0.125110	−	0.216696i
$408$	62002.2	−	13761.6i	0.0184398	−	0.00409279i
$409$	−2.60097e6	+	4.50501e6i	−0.768823	+	1.33164i	0.169378	+	0.985551i	$0.445824\pi$
$409$	−2.60097e6	+	4.50501e6i	−0.768823	+	1.33164i	−0.938201	+	0.346090i	$0.887509\pi$
$410$	3.64090e6	−	6.30622e6i	1.06967	−	1.85272i
$411$	2.60267e6	+	2.83890e6i	0.760001	+	0.828984i
$412$	1.05330e6	+	1.82437e6i	0.305709	+	0.529503i
$413$	413813.			0.119379
$414$	−565842.	+	264197.i	−0.162254	+	0.0757578i
$415$	750596.			0.213937
$416$	236371.	+	409407.i	0.0669670	+	0.115990i
$417$	375194.	−	1.19099e6i	0.105661	−	0.335403i
$418$	−26681.7	+	46214.1i	−0.00746919	+	0.0129370i
$419$	−953543.	+	1.65159e6i	−0.265342	+	0.459585i	−0.967653	−	0.252285i	$-0.918818\pi$
$419$	−953543.	+	1.65159e6i	−0.265342	+	0.459585i	0.702311	+	0.711870i	$0.252151\pi$
$420$	1.00633e6	−	3.19443e6i	0.278367	−	0.883629i
$421$	−2.09583e6	−	3.63009e6i	−0.576303	−	0.998186i	−0.995899	−	0.0904752i	$-0.971161\pi$
$421$	−2.09583e6	−	3.63009e6i	−0.576303	−	0.998186i	0.419596	−	0.907711i	$-0.362172\pi$
$422$	908365.			0.248301
$423$	4.11240e6	+	2.87651e6i	1.11749	+	0.781654i
$424$	1.47848e6			0.399394
$425$	247345.	+	428415.i	0.0664250	+	0.115051i
$426$	−2.61613e6	−	2.85358e6i	−0.698449	−	0.761845i
$427$	−3.32652e6	+	5.76170e6i	−0.882918	+	1.52926i
$428$	92754.8	−	160656.i	0.0244752	−	0.0423923i
$429$	850101.	−	188683.i	0.223011	−	0.0494983i
$430$	3.05913e6	+	5.29858e6i	0.797861	+	1.38194i
$431$	2.62012e6			0.679404			0.339702	−	0.940533i	$-0.389674\pi$
$431$	2.62012e6			0.679404			0.339702	+	0.940533i	$0.389674\pi$
$432$	−896186.	−	370434.i	−0.231041	−	0.0954996i
$433$	701479.			0.179802			0.0899011	−	0.995951i	$-0.471345\pi$
$433$	701479.			0.179802			0.0899011	+	0.995951i	$0.471345\pi$
$434$	−404769.	−	701080.i	−0.103153	−	0.178667i
$435$	5.90600e6	−	1.31086e6i	1.49648	−	0.332149i
$436$	−1.90404e6	+	3.29790e6i	−0.479690	+	0.830847i
$437$	35417.9	−	61345.5i	0.00887194	−	0.0153667i
$438$	1.55658e6	+	1.69787e6i	0.387692	+	0.422881i
$439$	349556.	+	605449.i	0.0865677	+	0.149940i	0.906058	−	0.423153i	$-0.139077\pi$
$439$	349556.	+	605449.i	0.0865677	+	0.149940i	−0.819490	+	0.573093i	$0.805743\pi$
$440$	−808343.			−0.199051
$441$	5431.91	−	62442.5i	0.00133001	−	0.0152892i
$442$	117558.			0.0286217
$443$	−2.66578e6	−	4.61727e6i	−0.645379	−	1.11783i	−0.984214	−	0.176984i	$-0.943366\pi$
$443$	−2.66578e6	−	4.61727e6i	−0.645379	−	1.11783i	0.338834	−	0.940846i	$-0.389967\pi$
$444$	−517900.	+	1.64398e6i	−0.124678	+	0.395768i
$445$	−2.93701e6	+	5.08705e6i	−0.703081	+	1.21777i
$446$	−380300.	+	658700.i	−0.0905294	+	0.156801i
$447$	−2.19288e6	+	6.96091e6i	−0.519093	+	1.64777i
$448$	263461.	+	456328.i	0.0620186	+	0.107419i
$449$	−462942.			−0.108371			−0.0541853	−	0.998531i	$-0.517256\pi$
$449$	−462942.			−0.108371			−0.0541853	+	0.998531i	$0.517256\pi$
$450$	654589.	−	7.52483e6i	0.152383	−	1.75172i
$451$	2.11025e6			0.488532
$452$	−1.75944e6	−	3.04743e6i	−0.405068	−	0.701598i
$453$	−1.07608e6	−	1.17376e6i	−0.246377	−	0.268740i
$454$	−986589.	+	1.70882e6i	−0.224645	+	0.389097i
$455$	3.09964e6	−	5.36873e6i	0.701912	−	1.21575i
$456$	107384.	−	23834.3i	0.0241840	−	0.00536773i
$457$	−3.84635e6	−	6.66207e6i	−0.861506	−	1.49217i	−0.870475	−	0.492213i	$-0.836188\pi$
$457$	−3.84635e6	−	6.66207e6i	−0.861506	−	1.49217i	0.00896899	−	0.999960i	$-0.497145\pi$
$458$	5.17399e6			1.15256
$459$	−191203.	+	146941.i	−0.0423607	+	0.0325545i
$460$	1.07301e6			0.236434
$461$	−1.34758e6	−	2.33408e6i	−0.295326	−	0.511520i	0.679734	−	0.733458i	$-0.262095\pi$
$461$	−1.34758e6	−	2.33408e6i	−0.295326	−	0.511520i	−0.975061	+	0.221938i	$0.928762\pi$
$462$	947530.	−	210308.i	0.206532	−	0.0458407i
$463$	−1.33748e6	+	2.31659e6i	−0.289959	+	0.502223i	−0.973800	−	0.227408i	$-0.926975\pi$
$463$	−1.33748e6	+	2.31659e6i	−0.289959	+	0.502223i	0.683841	+	0.729631i	$0.260308\pi$
$464$	−475896.	+	824277.i	−0.102617	+	0.177737i
$465$	−1.72991e6	−	1.88693e6i	−0.371015	−	0.404691i
$466$	−2.23664e6	−	3.87397e6i	−0.477124	−	0.826403i
$467$	−3.37407e6			−0.715915			−0.357957	−	0.933738i	$-0.616527\pi$
$467$	−3.37407e6			−0.715915			−0.357957	+	0.933738i	$0.616527\pi$
$468$	−1.47084e6	−	1.02881e6i	−0.310421	−	0.217130i
$469$	−6.18922e6			−1.29928
$470$	−4.31156e6	−	7.46784e6i	−0.900306	−	1.55937i
$471$	1.13131e6	−	3.59116e6i	0.234980	−	0.745903i
$472$	−102936.	+	178291.i	−0.0212673	+	0.0368361i
$473$	−886531.	+	1.53552e6i	−0.182197	+	0.315574i
$474$	539078.	−	1.71121e6i	0.110206	−	0.349830i
$475$	428387.	+	741988.i	0.0871168	+	0.150891i
$476$	131031.			0.0265067
$477$	−5.08649e6	+	2.37493e6i	−1.02358	+	0.477920i
$478$	−3.52867e6			−0.706385
$479$	1.71123e6	+	2.96394e6i	0.340777	+	0.590243i	0.984577	−	0.174950i	$-0.0559765\pi$
$479$	1.71123e6	+	2.96394e6i	0.340777	+	0.590243i	−0.643800	+	0.765194i	$0.722643\pi$
$480$	1.12599e6	+	1.22819e6i	0.223065	+	0.243312i
$481$	−1.59520e6	+	2.76297e6i	−0.314378	+	0.544519i
$482$	−831797.	+	1.44072e6i	−0.163080	+	0.282462i
$483$	−1.25777e6	+	279167.i	−0.245320	+	0.0544498i
$484$	−117128.	−	202872.i	−0.0227273	−	0.0393648i
$485$	−4.80296e6			−0.927159
$486$	3.67823e6	−	165149.i	0.706395	−	0.0317165i
$487$	681010.			0.130116			0.0650581	−	0.997881i	$-0.479277\pi$
$487$	681010.			0.130116			0.0650581	+	0.997881i	$0.479277\pi$
$488$	−1.65494e6	−	2.86645e6i	−0.314582	−	0.544872i
$489$	−9.45686e6	+	2.09899e6i	−1.78844	+	0.396952i
$490$	−53848.2	+	93267.8i	−0.0101317	+	0.0175486i
$491$	−1.03942e6	+	1.80032e6i	−0.194574	+	0.337012i	−0.946761	−	0.321938i	$-0.895666\pi$
$491$	−1.03942e6	+	1.80032e6i	−0.194574	+	0.337012i	0.752187	+	0.658950i	$0.228999\pi$
$492$	−2.93949e6	−	3.20630e6i	−0.547469	−	0.597161i
$493$	118342.	+	204974.i	0.0219291	+	0.0379824i
$494$	203602.			0.0375375
$495$	2.78098e6	−	1.29846e6i	0.510134	−	0.238186i
$496$	402745.			0.0735066
$497$	−3.99348e6	−	6.91691e6i	−0.725205	−	1.25609i
$498$	134723.	−	427654.i	0.0243426	−	0.0772715i
$499$	625780.	−	1.08388e6i	0.112505	−	0.194864i	−0.804275	−	0.594257i	$-0.797446\pi$
$499$	625780.	−	1.08388e6i	0.112505	−	0.194864i	0.916779	+	0.399394i	$0.130779\pi$
$500$	−3.87957e6	+	6.71961e6i	−0.693998	+	1.20204i
$501$	−2.62201e6	+	8.32313e6i	−0.466703	+	1.48147i
$502$	1.66116e6	+	2.87722e6i	0.294207	+	0.509582i
$503$	−9.42789e6			−1.66148			−0.830739	−	0.556662i	$-0.812082\pi$
$503$	−9.42789e6			−1.66148			−0.830739	+	0.556662i	$0.812082\pi$
$504$	−1.63941e6	−	1.14672e6i	−0.287482	−	0.201086i
$505$	−8.21607e6			−1.43363
$506$	155478.	+	269296.i	0.0269956	+	0.0467577i
$507$	1.66611e6	+	1.81734e6i	0.287861	+	0.313990i
$508$	−1.80523e6	+	3.12674e6i	−0.310365	+	0.537567i
$509$	−1.27070e6	+	2.20091e6i	−0.217394	+	0.376537i	−0.954010	−	0.299773i	$-0.903089\pi$
$509$	−1.27070e6	+	2.20091e6i	−0.217394	+	0.376537i	0.736616	+	0.676311i	$0.236422\pi$
$510$	404499.	−	89780.1i	0.0688639	−	0.0152846i
$511$	2.37610e6	+	4.11553e6i	0.402543	+	0.697225i
$512$	−262144.			−0.0441942
$513$	−331152.	+	254492.i	−0.0555564	+	0.0426954i
$514$	3.81256e6			0.636515
$515$	6.87166e6	+	1.19021e7i	1.14168	+	1.97744i
$516$	3.56795e6	−	791922.i	0.589923	−	0.130936i
$517$	1.24948e6	−	2.16417e6i	0.205591	−	0.356094i
$518$	−1.77803e6	+	3.07963e6i	−0.291148	+	0.504283i
$519$	−3.10128e6	−	3.38277e6i	−0.505385	−	0.551258i
$520$	1.54207e6	+	2.67095e6i	0.250090	+	0.433168i
$521$	7.85904e6			1.26846			0.634228	−	0.773146i	$-0.281318\pi$
$521$	7.85904e6			1.26846			0.634228	+	0.773146i	$0.281318\pi$
$522$	313187.	−	3.60024e6i	0.0503069	−	0.578303i
$523$	689117.			0.110164			0.0550819	−	0.998482i	$-0.482458\pi$
$523$	689117.			0.110164			0.0550819	+	0.998482i	$0.482458\pi$
$524$	1.25437e6	+	2.17263e6i	0.199570	+	0.345666i
$525$	4.68229e6	−	1.48631e7i	0.741413	−	2.35349i
$526$	−384656.	+	666243.i	−0.0606188	+	0.104995i
$527$	50075.7	−	86733.6i	0.00785417	−	0.0136038i
$528$	−145087.	+	460555.i	−0.0226488	+	0.0718947i
$529$	3.01179e6	+	5.21657e6i	0.467934	+	0.810486i
$530$	9.64555e6			1.49155
$531$	67742.2	−	778730.i	0.0104261	−	0.119854i
$532$	226937.			0.0347637
$533$	−4.02571e6	−	6.97274e6i	−0.613797	−	1.06313i
$534$	2.37120e6	+	2.58643e6i	0.359845	+	0.392507i
$535$	605127.	−	1.04811e6i	0.0914033	−	0.158315i
$536$	1.53957e6	−	2.66661e6i	0.231466	−	0.400911i
$537$	1.10315e7	−	2.44848e6i	1.65081	−	0.366405i
$538$	−400499.	−	693685.i	−0.0596549	−	0.103325i
$539$	−31210.2			−0.00462727
$540$	−5.84666e6	−	2.41669e6i	−0.862827	−	0.356645i
$541$	4.56378e6			0.670396			0.335198	−	0.942148i	$-0.391197\pi$
$541$	4.56378e6			0.670396			0.335198	+	0.942148i	$0.391197\pi$
$542$	−3.02903e6	−	5.24643e6i	−0.442900	−	0.767125i
$543$	8.32472e6	−	1.84771e6i	1.21163	−	0.268926i
$544$	−32593.9	+	56454.3i	−0.00472214	+	0.00817899i
$545$	−1.24219e7	+	2.15153e7i	−1.79141	+	3.10282i
$546$	−2.50250e6	−	2.72965e6i	−0.359247	−	0.391855i
$547$	−802069.	−	1.38922e6i	−0.114615	−	0.198520i	0.803010	−	0.595965i	$-0.203230\pi$
$547$	−802069.	−	1.38922e6i	−0.114615	−	0.198520i	−0.917626	+	0.397445i	$0.869897\pi$
$548$	−3.95307e6			−0.562320
$549$	1.02980e7	+	7.20318e6i	1.45822	+	1.01998i
$550$	−3.76108e6			−0.530159
$551$	204961.	+	355003.i	0.0287602	+	0.0498142i
$552$	192592.	−	611350.i	0.0269024	−	0.0853970i
$553$	1.85073e6	−	3.20556e6i	0.257354	−	0.445750i
$554$	−3.09667e6	+	5.36359e6i	−0.428668	+	0.742474i
$555$	−3.37875e6	+	1.07253e7i	−0.465611	+	1.47800i
$556$	640827.	+	1.10995e6i	0.0879132	+	0.152270i
$557$	−403190.			−0.0550645			−0.0275323	−	0.999621i	$-0.508765\pi$
$557$	−403190.			−0.0550645			−0.0275323	+	0.999621i	$0.508765\pi$
$558$	−1.38558e6	+	646941.i	−0.188385	+	0.0879588i
$559$	6.76492e6			0.915658
$560$	1.71881e6	+	2.97706e6i	0.231610	+	0.401160i
$561$	81143.8	+	88509.0i	0.0108855	+	0.0118735i
$562$	59624.2	−	103272.i	0.00796309	−	0.0137925i
$563$	−116948.	+	202559.i	−0.0155496	+	0.0269328i	−0.873696	−	0.486473i	$-0.838283\pi$
$563$	−116948.	+	202559.i	−0.0155496	+	0.0269328i	0.858146	+	0.513406i	$0.171616\pi$
$564$	−5.02869e6	+	1.11614e6i	−0.665668	+	0.147748i
$565$	−1.14785e7	−	1.98813e7i	−1.51273	−	2.62013i
$566$	−5.28965e6			−0.694042
$567$	7.48215e6	+	1.31168e6i	0.977392	+	0.171344i
$568$	3.97352e6			0.516778
$569$	−957316.	−	1.65812e6i	−0.123958	−	0.214702i	0.797367	−	0.603495i	$-0.206226\pi$
$569$	−957316.	−	1.65812e6i	−0.123958	−	0.214702i	−0.921325	+	0.388793i	$0.872892\pi$
$570$	700567.	−	155494.i	0.0903156	−	0.0200459i
$571$	4.73218e6	−	8.19637e6i	0.607394	−	1.05204i	−0.384274	−	0.923219i	$-0.625548\pi$
$571$	4.73218e6	−	8.19637e6i	0.607394	−	1.05204i	0.991668	−	0.128819i	$-0.0411185\pi$
$572$	−446889.	+	774034.i	−0.0571096	+	0.0989168i
$573$	3.35083e6	+	3.65498e6i	0.426350	+	0.465048i
$574$	−4.48710e6	−	7.77188e6i	−0.568441	−	0.984569i
$575$	4.99253e6			0.629726
$576$	901865.	−	421090.i	0.113262	−	0.0528833i
$577$	−2.01398e6			−0.251834			−0.125917	−	0.992041i	$-0.540187\pi$
$577$	−2.01398e6			−0.251834			−0.125917	+	0.992041i	$0.540187\pi$
$578$	−2.83161e6	−	4.90449e6i	−0.352544	−	0.610625i
$579$	−1.44309e6	+	4.58084e6i	−0.178894	+	0.567870i
$580$	−3.10472e6	+	5.37753e6i	−0.383224	+	0.663763i
$581$	462522.	−	801112.i	0.0568450	−	0.0984585i
$582$	−862071.	+	2.73650e6i	−0.105496	+	0.334879i
$583$	1.39763e6	+	2.42077e6i	0.170302	+	0.294972i
$584$	−2.36422e6			−0.286851
$585$	−9.59567e6	−	6.71190e6i	−1.15927	−	0.810878i
$586$	−8.92895e6			−1.07413
$587$	−5.73104e6	−	9.92645e6i	−0.686496	−	1.18905i	−0.972964	−	0.230957i	$-0.925814\pi$
$587$	−5.73104e6	−	9.92645e6i	−0.686496	−	1.18905i	0.286468	−	0.958090i	$-0.407519\pi$
$588$	43474.5	+	47420.6i	0.00518551	+	0.00565618i
$589$	86728.0	−	150217.i	0.0103008	−	0.0178415i
$590$	−671550.	+	1.16316e6i	−0.0794233	+	0.137565i
$591$	9.41145e6	−	2.08891e6i	1.10838	−	0.246009i
$592$	−884568.	−	1.53212e6i	−0.103735	−	0.179675i
$593$	5.91424e6			0.690657			0.345328	−	0.938482i	$-0.387768\pi$
$593$	5.91424e6			0.690657			0.345328	+	0.938482i	$0.387768\pi$
$594$	−240653.	−	1.81753e6i	−0.0279850	−	0.211356i
$595$	854837.			0.0989899
$596$	−3.74541e6	−	6.48725e6i	−0.431901	−	0.748074i
$597$	−7.97435e6	+	1.76994e6i	−0.915713	+	0.203246i
$598$	593209.	−	1.02747e6i	0.0678352	−	0.117494i
$599$	5.08788e6	−	8.81247e6i	0.579389	−	1.00353i	−0.416161	−	0.909291i	$-0.636625\pi$
$599$	5.08788e6	−	8.81247e6i	0.579389	−	1.00353i	0.995550	−	0.0942397i	$-0.0300420\pi$
$600$	5.23903e6	+	5.71456e6i	0.594118	+	0.648045i
$601$	2.39332e6	+	4.14536e6i	0.270281	+	0.468140i	0.968934	−	0.247321i	$-0.0795501\pi$
$601$	2.39332e6	+	4.14536e6i	0.270281	+	0.468140i	−0.698653	+	0.715461i	$0.746217\pi$
$602$	7.54024e6			0.847996
$603$	−1.01319e6	+	1.16471e7i	−0.113474	+	1.30444i
$604$	1.63441e6			0.182293
$605$	−764136.	−	1.32352e6i	−0.0848755	−	0.147009i
$606$	−1.47468e6	+	4.68113e6i	−0.163124	+	0.517808i
$607$	−1.83788e6	+	3.18331e6i	−0.202463	+	0.350677i	−0.949322	−	0.314306i	$-0.898228\pi$
$607$	−1.83788e6	+	3.18331e6i	−0.202463	+	0.350677i	0.746858	+	0.664983i	$0.231561\pi$
$608$	−56450.6	+	97775.3i	−0.00619312	+	0.0107268i
$609$	2.24023e6	−	7.11124e6i	0.244766	−	0.776967i
$610$	−1.07968e7	−	1.87005e7i	−1.17481	−	2.03484i
$611$	−9.53452e6			−1.03323
$612$	21450.0	−	246579.i	0.00231499	−	0.0266120i
$613$	4.31860e6			0.464186			0.232093	−	0.972694i	$-0.425443\pi$
$613$	4.31860e6			0.464186			0.232093	+	0.972694i	$0.425443\pi$
$614$	882331.	+	1.52824e6i	0.0944519	+	0.163595i
$615$	−1.91771e7	−	2.09177e7i	−2.04454	−	2.23011i
$616$	−498106.	+	862745.i	−0.0528896	+	0.0916075i
$617$	1.14279e6	−	1.97937e6i	0.120852	−	0.209321i	−0.799252	−	0.600996i	$-0.794771\pi$
$617$	1.14279e6	−	1.97937e6i	0.120852	−	0.209321i	0.920104	+	0.391675i	$0.128104\pi$
$618$	8.01460e6	−	1.77887e6i	0.844133	−	0.187359i
$619$	−2.89422e6	−	5.01293e6i	−0.303602	−	0.525854i	0.673347	−	0.739327i	$-0.264856\pi$
$619$	−2.89422e6	−	5.01293e6i	−0.303602	−	0.525854i	−0.976949	+	0.213472i	$0.931523\pi$
$620$	2.62749e6			0.274512
$621$	319448.	+	2.41262e6i	0.0332407	+	0.251050i
$622$	−2.50700e6			−0.259824
$623$	3.61961e6	+	6.26935e6i	0.373630	+	0.647147i
$624$	1.79856e6	−	399198.i	0.184911	−	0.0410418i
$625$	−1.31682e7	+	2.28079e7i	−1.34842	+	2.33553i
$626$	5.18336e6	−	8.97785e6i	0.528659	−	0.915665i
$627$	140536.	+	153292.i	0.0142764	+	0.0155722i
$628$	1.93227e6	+	3.34679e6i	0.195510	+	0.338633i
$629$	−439934.			−0.0443364
$630$	−1.06954e7	−	7.48114e6i	−1.07361	−	0.750959i
$631$	194320.			0.0194287			0.00971436	−	0.999953i	$-0.496908\pi$
$631$	194320.			0.0194287			0.00971436	+	0.999953i	$0.496908\pi$
$632$	920740.	+	1.59477e6i	0.0916947	+	0.158820i
$633$	1.06366e6	−	3.37642e6i	0.105510	−	0.334925i
$634$	5.94458e6	−	1.02963e7i	0.587351	−	1.01732i
$635$	−1.17772e7	+	2.03987e7i	−1.15906	+	2.00756i
$636$	1.73125e6	−	5.49557e6i	0.169714	−	0.538729i
$637$	59539.5	+	103125.i	0.00581375	+	0.0100697i
$638$	−1.79948e6			−0.175023
$639$	−1.36703e7	+	6.38278e6i	−1.32442	+	0.618383i
$640$	−1.71021e6			−0.165044
$641$	−8.27329e6	−	1.43298e7i	−0.795304	−	1.37751i	−0.922646	−	0.385648i	$-0.873978\pi$
$641$	−8.27329e6	−	1.43298e7i	−0.795304	−	1.37751i	0.127342	−	0.991859i	$-0.459356\pi$
$642$	−488551.	−	532895.i	−0.0467813	−	0.0510275i
$643$	469758.	−	813644.i	0.0448071	−	0.0776081i	−0.842752	−	0.538302i	$-0.819066\pi$
$643$	469758.	−	813644.i	0.0448071	−	0.0776081i	0.887559	+	0.460694i	$0.152399\pi$
$644$	661196.	−	1.14523e6i	0.0628226	−	0.108812i
$645$	2.32771e7	−	5.16645e6i	2.20308	−	0.488982i
$646$	14037.7	+	24314.0i	0.00132347	+	0.00229232i
$647$	1.51876e7			1.42636			0.713179	−	0.700982i	$-0.247255\pi$
$647$	1.51876e7			1.42636			0.713179	+	0.700982i	$0.247255\pi$
$648$	−2.42632e6	+	2.89739e6i	−0.226992	+	0.271062i
$649$	−389227.			−0.0362737
$650$	7.17499e6	+	1.24275e7i	0.666098	+	1.15372i
$651$	−3.07991e6	+	683598.i	−0.284830	+	0.0632191i
$652$	4.97137e6	−	8.61067e6i	0.457991	−	0.793264i
$653$	4.48457e6	−	7.76751e6i	0.411565	−	0.712851i	−0.583496	−	0.812116i	$-0.698316\pi$
$653$	4.48457e6	−	7.76751e6i	0.411565	−	0.712851i	0.995061	+	0.0992647i	$0.0316491\pi$
$654$	1.00288e7	+	1.09391e7i	0.916866	+	1.00009i
$655$	8.18341e6	+	1.41741e7i	0.745300	+	1.29090i
$656$	4.46466e6			0.405069
$657$	8.13373e6	−	3.79772e6i	0.735151	−	0.343249i
$658$	−1.06273e7			−0.956878
$659$	5.08603e6	+	8.80927e6i	0.456211	+	0.790180i	0.998757	−	0.0498457i	$-0.0158730\pi$
$659$	5.08603e6	+	8.80927e6i	0.456211	+	0.790180i	−0.542546	+	0.840026i	$0.682540\pi$
$660$	−946542.	+	3.00464e6i	−0.0845824	+	0.268492i
$661$	−86049.7	+	149042.i	−0.00766030	+	0.0132680i	−0.869830	−	0.493351i	$-0.835772\pi$
$661$	−86049.7	+	149042.i	−0.00766030	+	0.0132680i	0.862170	+	0.506619i	$0.169105\pi$
$662$	−4.01043e6	+	6.94627e6i	−0.355669	+	0.616037i
$663$	137656.	−	436965.i	0.0121622	−	0.0386067i
$664$	230105.	+	398553.i	0.0202538	+	0.0350805i
$665$	1.48052e6			0.129826
$666$	5.50430e6	+	3.85010e6i	0.480858	+	0.336346i
$667$	2.38867e6			0.207894
$668$	−4.47837e6	−	7.75677e6i	−0.388310	−	0.672573i
$669$	2.00309e6	+	2.18490e6i	0.173035	+	0.188741i
$670$	1.00441e7	−	1.73968e7i	0.864415	−	1.49721i
$671$	3.12888e6	−	5.41938e6i	0.268276	−	0.464668i
$672$	2.00469e6	−	444949.i	0.171248	−	0.0380091i
$673$	2.58171e6	+	4.47165e6i	0.219720	+	0.380566i	0.954722	−	0.297499i	$-0.0961524\pi$
$673$	2.58171e6	+	4.47165e6i	0.219720	+	0.380566i	−0.735002	+	0.678064i	$0.762819\pi$
$674$	7.39971e6			0.627430
$675$	−2.72035e7	−	1.12444e7i	−2.29808	−	0.949902i
$676$	−2.53058e6			−0.212987
$677$	6.07373e6	+	1.05200e7i	0.509312	+	0.882154i	0.999942	+	0.0107861i	$0.00343339\pi$
$677$	6.07373e6	+	1.05200e7i	0.509312	+	0.882154i	−0.490630	+	0.871368i	$0.663233\pi$
$678$	−1.33877e7	+	2.97144e6i	−1.11849	+	0.248252i
$679$	−2.95961e6	+	5.12620e6i	−0.246355	+	0.426699i
$680$	−212641.	+	368304.i	−0.0176349	+	0.0305446i
$681$	5.19649e6	+	5.66816e6i	0.429380	+	0.468354i
$682$	380720.	+	659426.i	0.0313433	+	0.0542882i
$683$	7.66659e6			0.628855			0.314428	−	0.949281i	$-0.398187\pi$
$683$	7.66659e6			0.628855			0.314428	+	0.949281i	$0.398187\pi$
$684$	37150.1	−	427059.i	0.00303613	−	0.0349018i
$685$	−2.57896e7			−2.10000
$686$	4.39057e6	+	7.60470e6i	0.356214	+	0.616981i
$687$	6.05857e6	−	1.92319e7i	0.489754	−	1.55464i
$688$	−1.87564e6	+	3.24870e6i	−0.151070	+	0.261660i
$689$	5.33250e6	−	9.23616e6i	0.427940	−	0.741214i
$690$	1.25646e6	−	3.98841e6i	0.100467	−	0.318917i
$691$	9.32884e6	+	1.61580e7i	0.743246	+	1.28734i	0.951010	+	0.309160i	$0.100048\pi$
$691$	9.32884e6	+	1.61580e7i	0.743246	+	1.28734i	−0.207764	+	0.978179i	$0.566619\pi$
$692$	4.71039e6			0.373931
$693$	327804.	−	3.76826e6i	0.0259287	−	0.298063i
$694$	1.47744e7			1.16443
$695$	4.18072e6	+	7.24122e6i	0.328314	+	0.568656i
$696$	2.50661e6	+	2.73412e6i	0.196139	+	0.213941i
$697$	555118.	−	961492.i	0.0432816	−	0.0749659i
$698$	−4.78286e6	+	8.28416e6i	−0.371577	+	0.643591i
$699$	−1.70187e7	+	3.77737e6i	−1.31745	+	0.292413i
$700$	7.99731e6	+	1.38518e7i	0.616878	+	1.06846i
$701$	2.39220e7			1.83866			0.919331	−	0.393485i	$-0.128731\pi$
$701$	2.39220e7			1.83866			0.919331	+	0.393485i	$0.128731\pi$
$702$	−5.54642e6	+	4.26246e6i	−0.424786	+	0.326450i
$703$	−761939.			−0.0581476
$704$	−247808.	−	429216.i	−0.0188445	−	0.0326396i
$705$	−3.28069e7	+	7.28163e6i	−2.48595	+	0.551767i
$706$	693054.	−	1.20041e6i	0.0523306	−	0.0906392i
$707$	−5.06280e6	+	8.76902e6i	−0.380927	+	0.659785i
$708$	542177.	+	591389.i	0.0406498	+	0.0443395i
$709$	−2.63709e6	−	4.56757e6i	−0.197019	−	0.341247i	0.750541	−	0.660823i	$-0.229793\pi$
$709$	−2.63709e6	−	4.56757e6i	−0.197019	−	0.341247i	−0.947561	+	0.319576i	$0.896459\pi$
$710$	2.59230e7			1.92992
$711$	−5.72938e6	−	4.00754e6i	−0.425044	−	0.297306i
$712$	−3.60152e6			−0.266247
$713$	−505375.	−	875336.i	−0.0372298	−	0.0644838i
$714$	153432.	−	487045.i	0.0112635	−	0.0357539i
$715$	−2.91548e6	+	5.04976e6i	−0.213277	+	0.369407i
$716$	−5.79913e6	+	1.00444e7i	−0.422747	+	0.732219i
$717$	−4.13195e6	+	1.31162e7i	−0.300163	+	0.952817i
$718$	2.64762e6	+	4.58582e6i	0.191666	+	0.331975i
$719$	826109.			0.0595957			0.0297978	−	0.999556i	$-0.490514\pi$
$719$	826109.			0.0595957			0.0297978	+	0.999556i	$0.490514\pi$
$720$	5.88372e6	−	2.74716e6i	0.422981	−	0.197494i
$721$	1.69374e7			1.21342
$722$	−4.92789e6	−	8.53535e6i	−0.351818	−	0.609366i
$723$	4.38118e6	+	4.77885e6i	0.311706	+	0.339999i
$724$	−4.37622e6	+	7.57983e6i	−0.310279	+	0.537419i
$725$	−1.44457e7	+	2.50208e7i	−1.02069	+	1.76789i
$726$	−891234.	+	197813.i	−0.0627552	+	0.0139288i
$727$	−44114.8	−	76409.0i	−0.00309562	−	0.00536178i	0.864473	−	0.502678i	$-0.167652\pi$
$727$	−44114.8	−	76409.0i	−0.00309562	−	0.00536178i	−0.867569	+	0.497317i	$0.834319\pi$
$728$	3.80094e6			0.265805
$729$	3.69321e6	−	1.38655e7i	0.257386	−	0.966309i
$730$	−1.54240e7			−1.07125
$731$	466417.	+	807859.i	0.0322835	+	0.0559167i
$732$	−1.25926e7	+	2.79497e6i	−0.868633	+	0.192797i
$733$	4.80274e6	−	8.31859e6i	0.330164	−	0.571860i	−0.652380	−	0.757892i	$-0.726229\pi$
$733$	4.80274e6	−	8.31859e6i	0.330164	−	0.571860i	0.982544	+	0.186032i	$0.0595627\pi$
$734$	6.36791e6	−	1.10295e7i	0.436271	−	0.755644i
$735$	283625.	+	309369.i	0.0193654	+	0.0211231i
$736$	328945.	+	569750.i	0.0223836	+	0.0387695i
$737$	5.82150e6			0.394790
$738$	−1.53600e7	+	7.17172e6i	−1.03812	+	0.484710i
$739$	2.54507e7			1.71430			0.857152	−	0.515063i	$-0.172232\pi$
$739$	2.54507e7			1.71430			0.857152	+	0.515063i	$0.172232\pi$
$740$	−5.77087e6	−	9.99544e6i	−0.387402	−	0.671000i
$741$	238412.	−	756797.i	0.0159508	−	0.0506330i
$742$	5.94365e6	−	1.02947e7i	0.396318	−	0.686443i
$743$	−3.60272e6	+	6.24010e6i	−0.239419	+	0.414686i	−0.960548	−	0.278115i	$-0.910290\pi$
$743$	−3.60272e6	+	6.24010e6i	−0.239419	+	0.414686i	0.721129	+	0.692801i	$0.243624\pi$
$744$	471601.	−	1.49702e6i	0.0312351	−	0.0991504i
$745$	−2.44349e7	−	4.23224e7i	−1.61294	−	2.79370i
$746$	−1.66553e7			−1.09573
$747$	−1.43185e6	−	1.00154e6i	−0.0938848	−	0.0656697i
$748$	−123246.			−0.00805411
$749$	−745767.	−	1.29171e6i	−0.0485734	−	0.0841316i
$750$	2.04342e7	+	2.22889e7i	1.32649	+	1.44689i
$751$	1.44600e7	−	2.50455e7i	0.935554	−	1.62043i	0.161910	−	0.986805i	$-0.448234\pi$
$751$	1.44600e7	−	2.50455e7i	0.935554	−	1.62043i	0.773644	−	0.633621i	$-0.218432\pi$
$752$	2.64353e6	−	4.57873e6i	0.170467	−	0.295257i
$753$	1.26399e7	−	2.80547e6i	0.812374	−	0.180310i
$754$	3.43286e6	+	5.94589e6i	0.219902	+	0.380881i
$755$	1.06628e7			0.680777
$756$	−6.18209e6	+	4.75097e6i	−0.393397	+	0.302328i
$757$	2.61332e6			0.165750			0.0828750	−	0.996560i	$-0.473590\pi$
$757$	2.61332e6			0.165750			0.0828750	+	0.996560i	$0.473590\pi$
$758$	9.14350e6	+	1.58370e7i	0.578015	+	1.00115i
$759$	1.18304e6	−	262581.i	0.0745410	−	0.0165447i
$760$	−368281.	+	637881.i	−0.0231284	+	0.0400595i
$761$	3.89206e6	−	6.74125e6i	0.243623	−	0.421967i	−0.718121	−	0.695919i	$-0.754997\pi$
$761$	3.89206e6	−	6.74125e6i	0.243623	−	0.421967i	0.961744	+	0.273951i	$0.0883308\pi$
$762$	9.50835e6	+	1.03714e7i	0.593223	+	0.647068i
$763$	1.53089e7	+	2.65157e7i	0.951989	+	1.64889i
$764$	−5.08943e6			−0.315454
$765$	139939.	−	1.60867e6i	0.00864539	−	0.0993830i
$766$	1.35391e7			0.833715
$767$	742527.	+	1.28609e6i	0.0455747	+	0.0789377i
$768$	−306962.	+	974398.i	−0.0187794	+	0.0596120i
$769$	−1.27512e6	+	2.20857e6i	−0.0777561	+	0.134678i	−0.902282	−	0.431147i	$-0.858109\pi$
$769$	−1.27512e6	+	2.20857e6i	−0.0777561	+	0.134678i	0.824525	+	0.565825i	$0.191442\pi$
$770$	−3.24962e6	+	5.62850e6i	−0.197517	+	0.342110i
$771$	4.46438e6	−	1.41714e7i	0.270474	−	0.858572i
$772$	−2.46478e6	−	4.26913e6i	−0.148845	−	0.257808i
$773$	−8.60405e6			−0.517910			−0.258955	−	0.965889i	$-0.583378\pi$
$773$	−8.60405e6			−0.517910			−0.258955	+	0.965889i	$0.583378\pi$
$774$	1.23435e6	−	1.41895e7i	0.0740607	−	0.851364i
$775$	1.22252e7			0.731145
$776$	−1.47241e6	−	2.55029e6i	−0.0877757	−	0.152032i
$777$	9.36508e6	+	1.02151e7i	0.556492	+	0.607003i
$778$	−2.16723e6	+	3.75375e6i	−0.128368	+	0.222339i
$779$	961430.	−	1.66524e6i	0.0567641	−	0.0983183i
$780$	1.17337e7	−	2.60434e6i	0.690556	−	0.153272i
$781$	3.75621e6	+	6.50595e6i	0.220355	+	0.381666i
$782$	163599.			0.00956672
$783$	−1.30155e7	−	5.37989e6i	−0.758675	−	0.313595i
$784$	−66031.5			−0.00383673
$785$	1.26060e7	+	2.18343e7i	0.730136	+	1.26463i
$786$	9.54454e6	−	2.11845e6i	0.551060	−	0.122310i
$787$	−1.38175e6	+	2.39326e6i	−0.0795229	+	0.137738i	−0.903044	−	0.429548i	$-0.858673\pi$
$787$	−1.38175e6	+	2.39326e6i	−0.0795229	+	0.137738i	0.823521	+	0.567285i	$0.192006\pi$
$788$	−4.94750e6	+	8.56932e6i	−0.283838	+	0.491622i
$789$	2.02603e6	+	2.20993e6i	0.115865	+	0.126382i
$790$	6.00685e6	+	1.04042e7i	0.342436	+	0.593116i
$791$	−2.82924e7			−1.60779
$792$	1.54201e6	+	1.07859e6i	0.0873521	+	0.0611003i
$793$	−2.38758e7			−1.34826
$794$	7.78381e6	+	1.34819e7i	0.438168	+	0.758929i
$795$	1.12946e7	−	3.58528e7i	0.633802	−	2.01190i
$796$	4.19203e6	−	7.26081e6i	0.234499	−	0.406165i
$797$	1.05657e7	−	1.83004e7i	0.589188	−	1.02050i	−0.405151	−	0.914250i	$-0.632781\pi$
$797$	1.05657e7	−	1.83004e7i	0.589188	−	1.02050i	0.994339	−	0.106254i	$-0.0338857\pi$
$798$	265736.	−	843533.i	0.0147721	−	0.0468916i
$799$	−657371.	−	1.13860e6i	−0.0364287	−	0.0630964i
$800$	−7.95733e6			−0.439584
$801$	1.23905e7	−	5.78522e6i	0.682348	−	0.318595i
$802$	4.88206e6			0.268020
$803$	−2.23493e6	−	3.87101e6i	−0.122314	−	0.211853i
$804$	−8.10911e6	−	8.84515e6i	−0.442418	−	0.482575i
$805$	4.31361e6	−	7.47139e6i	0.234612	−	0.406360i
$806$	1.45260e6	−	2.51597e6i	0.0787602	−	0.136417i
$807$	−3.04742e6	+	676387.i	−0.164721	+	0.0365605i
$808$	−2.51874e6	−	4.36259e6i	−0.135724	−	0.235080i
$809$	2.33972e7			1.25688			0.628438	−	0.777860i	$-0.283695\pi$
$809$	2.33972e7			1.25688			0.628438	+	0.777860i	$0.283695\pi$
$810$	−1.58292e7	+	1.89024e7i	−0.847706	+	1.01229i
$811$	−1.30342e7			−0.695878			−0.347939	−	0.937517i	$-0.613118\pi$
$811$	−1.30342e7			−0.695878			−0.347939	+	0.937517i	$0.613118\pi$
$812$	3.82630e6	+	6.62735e6i	0.203652	+	0.352736i
$813$	−2.30481e7	+	5.11561e6i	−1.22295	+	0.271438i
$814$	1.67239e6	−	2.89666e6i	0.0884658	−	0.153227i
$815$	3.24329e7	−	5.61755e7i	1.71038	−	2.96246i
$816$	171676.	+	187259.i	0.00902577	+	0.00984502i
$817$	807806.	+	1.39916e6i	0.0423401	+	0.0733352i
$818$	−2.08077e7			−1.08728
$819$	−1.30765e7	+	6.10556e6i	−0.681213	+	0.318065i
$820$	2.91272e7			1.51274
$821$	−7.66254e6	−	1.32719e7i	−0.396748	−	0.687188i	0.596574	−	0.802558i	$-0.296528\pi$
$821$	−7.66254e6	−	1.32719e7i	−0.396748	−	0.687188i	−0.993323	+	0.115370i	$0.963195\pi$
$822$	−4.62892e6	+	1.46937e7i	−0.238946	+	0.758494i
$823$	8.74209e6	−	1.51417e7i	0.449899	−	0.779249i	−0.548480	−	0.836164i	$-0.684793\pi$
$823$	8.74209e6	−	1.51417e7i	0.449899	−	0.779249i	0.998379	+	0.0569152i	$0.0181265\pi$
$824$	−4.21319e6	+	7.29746e6i	−0.216169	+	0.374415i
$825$	−4.40410e6	+	1.39801e7i	−0.225280	+	0.715112i
$826$	827627.	+	1.43349e6i	0.0422070	+	0.0731047i
$827$	3.33235e7			1.69428			0.847142	−	0.531366i	$-0.178321\pi$
$827$	3.33235e7			1.69428			0.847142	+	0.531366i	$0.178321\pi$
$828$	−2.04689e6	−	1.43174e6i	−0.103757	−	0.0725753i
$829$	3.15375e7			1.59383			0.796913	−	0.604094i	$-0.206465\pi$
$829$	3.15375e7			1.59383			0.796913	+	0.604094i	$0.206465\pi$
$830$	1.50119e6	+	2.60014e6i	0.0756381	+	0.131009i
$831$	1.63106e7	+	1.77910e7i	0.819344	+	0.893713i
$832$	−945484.	+	1.63763e6i	−0.0473528	+	0.0820175i
$833$	−8210.08	+	14220.3i	−0.000409954	+	0.000710061i
$834$	4.87609e6	−	1.08227e6i	0.242749	−	0.0538790i
$835$	−2.92166e7	−	5.06047e7i	−1.45015	−	2.51174i
$836$	−213454.			−0.0105630
$837$	782233.	+	5.90780e6i	0.0385943	+	0.291482i
$838$	−7.62835e6			−0.375250
$839$	−1.88930e7	−	3.27236e7i	−0.926606	−	1.60493i	−0.788958	−	0.614448i	$-0.789379\pi$
$839$	−1.88930e7	−	3.27236e7i	−0.926606	−	1.60493i	−0.137648	−	0.990481i	$-0.543954\pi$
$840$	1.30785e7	−	2.90282e6i	0.639528	−	0.141946i
$841$	3.34403e6	−	5.79204e6i	0.163035	−	0.282385i
$842$	8.38332e6	−	1.45203e7i	0.407508	−	0.705824i
$843$	−314048.	−	342553.i	−0.0152204	−	0.0166020i
$844$	1.81673e6	+	3.14667e6i	0.0877878	+	0.152053i
$845$	−1.65093e7			−0.795405
$846$	−1.73971e6	+	1.99988e7i	−0.0835699	+	0.960678i
$847$	−1.88346e6			−0.0902088
$848$	2.95697e6	+	5.12162e6i	0.141207	+	0.244578i
$849$	−6.19400e6	+	1.96618e7i	−0.294919	+	0.936169i
$850$	−989381.	+	1.71366e6i	−0.0469695	+	0.0813536i
$851$	−2.21996e6	+	3.84508e6i	−0.105080	+	0.182004i
$852$	4.65285e6	−	1.47697e7i	0.219594	−	0.697064i
$853$	−1.71859e7	−	2.97668e7i	−0.808721	−	1.40075i	−0.913750	−	0.406277i	$-0.866827\pi$
$853$	−1.71859e7	−	2.97668e7i	−0.808721	−	1.40075i	0.105029	−	0.994469i	$-0.466506\pi$
$854$	−2.66122e7			−1.24863
$855$	242365.	−	2.78611e6i	0.0113385	−	0.130342i
$856$	742038.			0.0346132
$857$	−1.54251e6	−	2.67170e6i	−0.0717424	−	0.124261i	0.827923	−	0.560842i	$-0.189523\pi$
$857$	−1.54251e6	−	2.67170e6i	−0.0717424	−	0.124261i	−0.899665	+	0.436581i	$0.856189\pi$
$858$	2.35382e6	+	2.56747e6i	0.109158	+	0.119066i
$859$	1.96122e7	−	3.39693e7i	0.906865	−	1.57074i	0.0884718	−	0.996079i	$-0.471802\pi$
$859$	1.96122e7	−	3.39693e7i	0.906865	−	1.57074i	0.818394	−	0.574658i	$-0.194865\pi$
$860$	−1.22365e7	+	2.11943e7i	−0.564173	+	0.977177i
$861$	−3.41426e7	+	7.57808e6i	−1.56960	+	0.348378i
$862$	5.24024e6	+	9.07636e6i	0.240206	+	0.416048i
$863$	−2.28644e7			−1.04504			−0.522521	−	0.852627i	$-0.675008\pi$
$863$	−2.28644e7			−1.04504			−0.522521	+	0.852627i	$0.675008\pi$
$864$	−509150.	−	3.84535e6i	−0.0232039	−	0.175247i
$865$	3.07303e7			1.39646
$866$	1.40296e6	+	2.42999e6i	0.0635697	+	0.110106i
$867$	−2.15459e7	+	4.78219e6i	−0.973456	+	0.216062i
$868$	1.61908e6	−	2.80432e6i	0.0729403	−	0.126336i
$869$	−1.74077e6	+	3.01511e6i	−0.0781975	+	0.135442i
$870$	1.63530e7	+	1.78373e7i	0.732484	+	0.798969i
$871$	−1.11056e7	−	1.92355e7i	−0.496019	−	0.859130i
$872$	−1.52323e7			−0.678384
$873$	9.16219e6	+	6.40869e6i	0.406878	+	0.284599i
$874$	283343.			0.0125468
$875$	3.11925e7	+	5.40270e7i	1.37730	+	2.38556i
$876$	−2.76842e6	+	8.78789e6i	−0.121891	+	0.386923i
$877$	3.56219e6	−	6.16989e6i	0.156393	−	0.270881i	−0.777172	−	0.629288i	$-0.783347\pi$
$877$	3.56219e6	−	6.16989e6i	0.156393	−	0.270881i	0.933565	+	0.358407i	$0.116680\pi$
$878$	−1.39823e6	+	2.42180e6i	−0.0612126	+	0.106023i
$879$	−1.04555e7	+	3.31892e7i	−0.456428	+	1.44885i
$880$	−1.61669e6	−	2.80018e6i	−0.0703751	−	0.121893i
$881$	2.77168e7			1.20311			0.601553	−	0.798833i	$-0.294549\pi$
$881$	2.77168e7			1.20311			0.601553	+	0.798833i	$0.294549\pi$
$882$	227171.	−	106068.i	0.00983289	−	0.00459107i
$883$	1.60404e7			0.692329			0.346165	−	0.938174i	$-0.387484\pi$
$883$	1.60404e7			0.692329			0.346165	+	0.938174i	$0.387484\pi$
$884$	235115.	+	407231.i	0.0101193	+	0.0175271i
$885$	3.53714e6	+	3.85819e6i	0.151808	+	0.165587i
$886$	1.06631e7	−	1.84691e7i	0.456352	−	0.790425i
$887$	−1.89278e7	+	3.27839e7i	−0.807775	+	1.39911i	0.106626	+	0.994299i	$0.465995\pi$
$887$	−1.89278e7	+	3.27839e7i	−0.807775	+	1.39911i	−0.914401	+	0.404809i	$0.867338\pi$
$888$	−6.73073e6	+	1.49391e6i	−0.286437	+	0.0635759i
$889$	1.45144e7	+	2.51396e7i	0.615948	+	1.06685i
$890$	−2.34961e7			−0.994307
$891$	−7.03760e6	−	1.23375e6i	−0.296982	−	0.0520633i
$892$	−3.04240e6			−0.128028
$893$	−1.13853e6	−	1.97199e6i	−0.0477765	−	0.0827514i
$894$	−2.84991e7	+	6.32548e6i	−1.19258	+	0.264697i
$895$	−3.78332e7	+	6.55290e7i	−1.57876	+	2.73449i
$896$	−1.05384e6	+	1.82531e6i	−0.0438537	+	0.0759569i
$897$	−3.12451e6	−	3.40811e6i	−0.129658	−	0.141427i
$898$	−925885.	−	1.60368e6i	−0.0383148	−	0.0663631i
$899$	5.84915e6			0.241376
$900$	2.73759e7	−	1.27821e7i	1.12658	−	0.526012i
$901$	1.47063e6			0.0603519
$902$	4.22050e6	+	7.31012e6i	0.172722	+	0.299163i
$903$	8.82937e6	−	2.80273e7i	0.360338	−	1.14383i
$904$	7.03775e6	−	1.21897e7i	0.286426	−	0.496105i
$905$	−2.85502e7	+	4.94504e7i	−1.15874	+	2.00700i
$906$	1.91384e6	−	6.07517e6i	0.0774615	−	0.245888i
$907$	2.01103e6	+	3.48321e6i	0.0811711	+	0.140592i	0.903753	−	0.428054i	$-0.140801\pi$
$907$	2.01103e6	+	3.48321e6i	0.0811711	+	0.140592i	−0.822582	+	0.568646i	$0.807467\pi$
$908$	−7.89272e6			−0.317696
$909$	1.56731e7	+	1.09629e7i	0.629137	+	0.440063i
$910$	2.47971e7			0.992653
$911$	−1.11191e7	−	1.92589e7i	−0.443888	−	0.768837i	0.554086	−	0.832460i	$-0.313068\pi$
$911$	−1.11191e7	−	1.92589e7i	−0.443888	−	0.768837i	−0.997974	+	0.0636224i	$0.979735\pi$
$912$	297332.	+	324320.i	0.0118374	+	0.0129118i
$913$	−435042.	+	753515.i	−0.0172725	+	0.0299168i
$914$	1.53854e7	−	2.66483e7i	0.609177	−	1.05513i
$915$	−8.21532e7	+	1.82342e7i	−3.24393	+	0.720003i
$916$	1.03480e7	+	1.79232e7i	0.407490	+	0.705794i
$917$	2.01707e7			0.792132
$918$	−891424.	−	368466.i	−0.0349122	−	0.0144308i
$919$	−1.51603e7			−0.592132			−0.296066	−	0.955167i	$-0.595675\pi$
$919$	−1.51603e7			−0.592132			−0.296066	+	0.955167i	$0.595675\pi$
$920$	2.14602e6	+	3.71702e6i	0.0835919	+	0.144785i
$921$	6.71371e6	−	1.49013e6i	0.260803	−	0.0578864i
$922$	5.39032e6	−	9.33630e6i	0.208827	−	0.361699i
$923$	1.43314e7	−	2.48227e7i	0.553713	−	0.959060i
$924$	2.62359e6	+	2.86172e6i	0.101092	+	0.110268i
$925$	−2.68509e7	−	4.65071e7i	−1.03182	−	1.78717i
$926$	−1.06999e7			−0.410064
$927$	2.77270e6	−	3.18736e7i	0.105975	−	1.21824i
$928$	−3.80717e6			−0.145122
$929$	−1.24727e7	−	2.16034e7i	−0.474158	−	0.821265i	0.525405	−	0.850852i	$-0.323914\pi$
$929$	−1.24727e7	−	2.16034e7i	−0.474158	−	0.821265i	−0.999562	+	0.0295876i	$0.990581\pi$
$930$	3.07670e6	−	9.76646e6i	0.116648	−	0.370279i
$931$	−14219.4	+	24628.6i	−0.000537657	+	0.000931250i
$932$	8.94656e6	−	1.54959e7i	0.337377	−	0.584355i
$933$	−2.93561e6	+	9.31861e6i	−0.110407	+	0.350467i
$934$	−6.74813e6	−	1.16881e7i	−0.253114	−	0.438407i
$935$	−804048.			−0.0300783
$936$	622222.	−	7.15276e6i	0.0232143	−	0.266860i
$937$	377535.			0.0140478			0.00702390	−	0.999975i	$-0.497764\pi$
$937$	377535.			0.0140478			0.00702390	+	0.999975i	$0.497764\pi$
$938$	−1.23784e7	−	2.14401e7i	−0.459366	−	0.795646i
$939$	−2.73014e7	−	2.97795e7i	−1.01046	−	1.10218i
$940$	1.72462e7	−	2.98714e7i	0.636612	−	1.10264i
$941$	−1.72062e7	+	2.98020e7i	−0.633448	+	1.09716i	0.353394	+	0.935475i	$0.385028\pi$
$941$	−1.72062e7	+	2.98020e7i	−0.633448	+	1.09716i	−0.986842	+	0.161690i	$0.948306\pi$
$942$	1.47028e7	−	3.26334e6i	0.539848	−	0.119821i
$943$	−5.60238e6	−	9.70360e6i	−0.205160	−	0.355348i
$944$	−823489.			−0.0300765
$945$	−4.03316e7	+	3.09951e7i	−1.46915	+	1.12905i
$946$	−7.09225e6			−0.257665
$947$	2.54489e7	+	4.40788e7i	0.922135	+	1.59718i	0.796106	+	0.605158i	$0.206890\pi$
$947$	2.54489e7	+	4.40788e7i	0.922135	+	1.59718i	0.126029	+	0.992027i	$0.459777\pi$
$948$	7.00596e6	−	1.55500e6i	0.253190	−	0.0561966i
$949$	−8.52712e6	+	1.47694e7i	−0.307352	+	0.532350i
$950$	−1.71355e6	+	2.96795e6i	−0.0616009	+	0.106696i
$951$	−3.13108e7	−	3.41528e7i	−1.12265	−	1.22455i
$952$	262061.	+	453904.i	0.00937153	+	0.0162320i
$953$	−3.99035e7			−1.42324			−0.711622	−	0.702563i	$-0.752039\pi$
$953$	−3.99035e7			−1.42324			−0.711622	+	0.702563i	$0.752039\pi$
$954$	−1.84000e7	−	1.28703e7i	−0.654556	−	0.457843i
$955$	−3.32031e7			−1.17807
$956$	−7.05734e6	−	1.22237e7i	−0.249745	−	0.432571i
$957$	−2.10713e6	+	6.68874e6i	−0.0743725	+	0.236083i
$958$	−6.84493e6	+	1.18558e7i	−0.240966	+	0.417365i
$959$	−1.58917e7	+	2.75253e7i	−0.557988	+	0.966464i
$960$	−2.00260e6	+	6.35692e6i	−0.0701320	+	0.222622i
$961$	1.30771e7	+	2.26501e7i	0.456774	+	0.791156i
$962$	−1.27616e7			−0.444598
$963$	−2.55287e6	+	1.19196e6i	−0.0887079	+	0.0414186i
$964$	−6.65438e6			−0.230630
$965$	−1.60801e7	−	2.78516e7i	−0.555867	−	0.962789i
$966$	−3.48260e6	−	3.79871e6i	−0.120077	−	0.130976i
$967$	−9.36825e6	+	1.62263e7i	−0.322175	+	0.558024i	−0.980937	−	0.194328i	$-0.937747\pi$
$967$	−9.36825e6	+	1.62263e7i	−0.322175	+	0.558024i	0.658761	+	0.752352i	$0.271081\pi$
$968$	468512.	−	811487.i	0.0160706	−	0.0278351i
$969$	106813.	−	23707.7i	0.00365440	−	0.000811109i
$970$	−9.60591e6	−	1.66379e7i	−0.327800	−	0.567767i
$971$	4.00445e7			1.36300			0.681499	−	0.731819i	$-0.261328\pi$
$971$	4.00445e7			1.36300			0.681499	+	0.731819i	$0.261328\pi$
$972$	7.92854e6	+	1.24114e7i	0.269171	+	0.421363i
$973$	1.03048e7			0.348944
$974$	1.36202e6	+	2.35909e6i	0.0460030	+	0.0796796i
$975$	5.45949e7	−	1.21176e7i	1.83925	−	0.408229i
$976$	6.61978e6	−	1.14658e7i	0.222443	−	0.385283i
$977$	−2.30698e6	+	3.99581e6i	−0.0773228	+	0.133927i	−0.902094	−	0.431540i	$-0.857971\pi$
$977$	−2.30698e6	+	3.99581e6i	−0.0773228	+	0.133927i	0.824771	+	0.565467i	$0.191304\pi$
$978$	−2.61848e7	−	2.85616e7i	−0.875392	−	0.954849i
$979$	−3.40456e6	−	5.89687e6i	−0.113528	−	0.196637i
$980$	−430786.			−0.0143283
$981$	5.24045e7	−	2.44682e7i	1.73858	−	0.811762i
$982$	−8.31532e6			−0.275169
$983$	−2.05095e7	−	3.55234e7i	−0.676971	−	1.17255i	−0.975888	−	0.218270i	$-0.929959\pi$
$983$	−2.05095e7	−	3.55234e7i	−0.676971	−	1.17255i	0.298917	−	0.954279i	$-0.403375\pi$
$984$	5.22797e6	−	1.65953e7i	0.172126	−	0.546383i
$985$	−3.22772e7	+	5.59058e7i	−1.06000	+	1.83597i
$986$	−473368.	+	819897.i	−0.0155062	+	0.0268576i
$987$	−1.24442e7	+	3.95019e7i	−0.406605	+	1.29070i
$988$	407205.	+	705300.i	0.0132715	+	0.0229869i
$989$	9.41439e6			0.306056
$990$	1.00600e7	+	7.03666e6i	0.326218	+	0.228180i
$991$	2.14065e6			0.0692406			0.0346203	−	0.999401i	$-0.488978\pi$
$991$	2.14065e6			0.0692406			0.0346203	+	0.999401i	$0.488978\pi$
$992$	805490.	+	1.39515e6i	0.0259885	+	0.0450134i
$993$	2.11235e7	+	2.30408e7i	0.679817	+	0.741522i
$994$	1.59739e7	−	2.76677e7i	0.512797	−	0.888191i
$995$	2.73486e7	−	4.73691e7i	0.875744	−	1.51683i
$996$	1.75088e6	−	388615.i	0.0559253	−	0.0124128i
$997$	−9.83946e6	−	1.70424e7i	−0.313497	−	0.542993i	0.665620	−	0.746291i	$-0.268167\pi$
$997$	−9.83946e6	−	1.70424e7i	−0.313497	−	0.542993i	−0.979117	+	0.203298i	$0.934834\pi$
$998$	5.00624e6			0.159106
$999$	2.07563e7	−	1.59513e7i	0.658016	−	0.505689i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	198.6.e.b.67.12	✓	24
3.2	odd	2		594.6.e.a.199.12		24
9.2	odd	6		594.6.e.a.397.12		24
9.7	even	3	inner	198.6.e.b.133.12	yes	24

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
198.6.e.b.67.12	✓	24	1.1	even	1	trivial
198.6.e.b.133.12	yes	24	9.7	even	3	inner
594.6.e.a.199.12		24	3.2	odd	2
594.6.e.a.397.12		24	9.2	odd	6

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 198 = 2 \cdot 3^{2} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 6 \)
Character orbit:	\([\chi]\)	\(=\)	198.e (of order \(3\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(2.00000 + 3.46410i) q^{2} +(15.2181 - 3.37772i) q^{3} +(-8.00000 + 13.8564i) q^{4} +(-52.1915 + 90.3984i) q^{5} +(42.1370 + 45.9617i) q^{6} +(64.3216 + 111.408i) q^{7} -64.0000 q^{8} +(220.182 - 102.805i) q^{9} +O(q^{10})\)	\(q+(2.00000 + 3.46410i) q^{2} +(15.2181 - 3.37772i) q^{3} +(-8.00000 + 13.8564i) q^{4} +(-52.1915 + 90.3984i) q^{5} +(42.1370 + 45.9617i) q^{6} +(64.3216 + 111.408i) q^{7} -64.0000 q^{8} +(220.182 - 102.805i) q^{9} -417.532 q^{10} +(-60.5000 - 104.789i) q^{11} +(-74.9418 + 237.890i) q^{12} +(-230.831 + 399.811i) q^{13} +(-257.286 + 445.633i) q^{14} +(-488.916 + 1551.98i) q^{15} +(-128.000 - 221.703i) q^{16} -63.6599 q^{17} +(796.491 + 557.123i) q^{18} -110.255 q^{19} +(-835.065 - 1446.37i) q^{20} +(1355.16 + 1478.16i) q^{21} +(242.000 - 419.156i) q^{22} +(-321.236 + 556.396i) q^{23} +(-973.959 + 216.174i) q^{24} +(-3885.41 - 6729.74i) q^{25} -1846.65 q^{26} +(3003.51 - 2308.21i) q^{27} -2058.29 q^{28} +(-1858.97 - 3219.83i) q^{29} +(-6354.06 + 1410.31i) q^{30} +(-786.612 + 1362.45i) q^{31} +(512.000 - 886.810i) q^{32} +(-1274.64 - 1390.34i) q^{33} +(-127.320 - 220.525i) q^{34} -13428.2 q^{35} +(-336.947 + 3873.37i) q^{36} +6910.69 q^{37} +(-220.510 - 381.935i) q^{38} +(-2162.36 + 6864.05i) q^{39} +(3340.26 - 5785.50i) q^{40} +(-8720.04 + 15103.6i) q^{41} +(-2410.19 + 7650.74i) q^{42} +(-7326.70 - 12690.2i) q^{43} +1936.00 q^{44} +(-2198.22 + 25269.7i) q^{45} -2569.88 q^{46} +(10326.3 + 17885.7i) q^{47} +(-2696.77 - 2941.55i) q^{48} +(128.968 - 223.379i) q^{49} +(15541.7 - 26918.9i) q^{50} +(-968.784 + 215.026i) q^{51} +(-3693.30 - 6396.98i) q^{52} -23101.3 q^{53} +(14002.9 + 5788.03i) q^{54} +12630.4 q^{55} +(-4116.58 - 7130.13i) q^{56} +(-1677.88 + 372.411i) q^{57} +(7435.88 - 12879.3i) q^{58} +(1608.38 - 2785.79i) q^{59} +(-17593.6 - 19190.5i) q^{60} +(25858.5 + 44788.2i) q^{61} -6292.89 q^{62} +(25615.8 + 17917.5i) q^{63} +4096.00 q^{64} +(-24094.9 - 41733.5i) q^{65} +(2266.99 - 7196.18i) q^{66} +(-24055.8 + 41665.8i) q^{67} +(509.280 - 882.098i) q^{68} +(-3009.25 + 9552.35i) q^{69} +(-26856.3 - 46516.5i) q^{70} -62086.2 q^{71} +(-14091.6 + 6579.53i) q^{72} +36940.9 q^{73} +(13821.4 + 23939.3i) q^{74} +(-81859.9 - 89290.0i) q^{75} +(882.041 - 1527.74i) q^{76} +(7782.91 - 13480.4i) q^{77} +(-28102.5 + 6237.46i) q^{78} +(-14386.6 - 24918.3i) q^{79} +26722.1 q^{80} +(37911.2 - 45271.7i) q^{81} -69760.4 q^{82} +(-3595.39 - 6227.40i) q^{83} +(-31323.3 + 6952.33i) q^{84} +(3322.51 - 5754.76i) q^{85} +(29306.8 - 50760.9i) q^{86} +(-39165.7 - 42720.7i) q^{87} +(3872.00 + 6706.50i) q^{88} +56273.7 q^{89} +(-91933.1 + 42924.5i) q^{90} -59389.7 q^{91} +(-5139.77 - 8902.34i) q^{92} +(-7368.77 + 23390.9i) q^{93} +(-41305.2 + 71542.7i) q^{94} +(5754.39 - 9966.89i) q^{95} +(4796.28 - 15225.0i) q^{96} +(23006.4 + 39848.2i) q^{97} +1031.74 q^{98} +(-24093.9 - 16853.0i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 24 q + 48 q^{2} + 21 q^{3} - 192 q^{4} - 7 q^{5} + 168 q^{6} + 24 q^{7} - 1536 q^{8} - 543 q^{9}+O(q^{10}) \) 24 * q + 48 * q^2 + 21 * q^3 - 192 * q^4 - 7 * q^5 + 168 * q^6 + 24 * q^7 - 1536 * q^8 - 543 * q^9	\( 24 q + 48 q^{2} + 21 q^{3} - 192 q^{4} - 7 q^{5} + 168 q^{6} + 24 q^{7} - 1536 q^{8} - 543 q^{9} - 56 q^{10} - 1452 q^{11} + 336 q^{12} - 688 q^{13} - 96 q^{14} - 1500 q^{15} - 3072 q^{16} + 3512 q^{17} + 1164 q^{18} - 3836 q^{19} - 112 q^{20} + 1842 q^{21} + 5808 q^{22} - 680 q^{23} - 1344 q^{24} - 7759 q^{25} - 5504 q^{26} + 3024 q^{27} - 768 q^{28} - 3210 q^{29} - 4596 q^{30} + 857 q^{31} + 12288 q^{32} - 5082 q^{33} + 7024 q^{34} + 29824 q^{35} + 13344 q^{36} + 7166 q^{37} - 7672 q^{38} - 23076 q^{39} + 448 q^{40} - 27726 q^{41} - 10680 q^{42} - 15092 q^{43} + 46464 q^{44} + 38667 q^{45} - 5440 q^{46} - 28938 q^{47} - 10752 q^{48} + 17322 q^{49} + 31036 q^{50} + 37032 q^{51} - 11008 q^{52} - 12652 q^{53} + 59832 q^{54} + 1694 q^{55} - 1536 q^{56} - 168660 q^{57} + 12840 q^{58} - 33123 q^{59} + 5616 q^{60} + 36262 q^{61} + 6856 q^{62} + 47496 q^{63} + 98304 q^{64} - 31470 q^{65} - 10164 q^{66} + 35563 q^{67} - 28096 q^{68} + 123459 q^{69} + 59648 q^{70} + 295146 q^{71} + 34752 q^{72} + 12056 q^{73} + 14332 q^{74} - 244221 q^{75} + 30688 q^{76} + 2904 q^{77} - 64200 q^{78} + 128058 q^{79} + 3584 q^{80} + 90621 q^{81} - 221808 q^{82} - 209888 q^{83} - 72192 q^{84} + 228182 q^{85} + 60368 q^{86} - 89802 q^{87} + 92928 q^{88} - 46724 q^{89} + 96972 q^{90} - 305924 q^{91} - 10880 q^{92} - 187767 q^{93} + 115752 q^{94} - 118660 q^{95} - 21504 q^{96} + 240799 q^{97} + 138576 q^{98} - 35211 q^{99}+O(q^{100}) \) 24 * q + 48 * q^2 + 21 * q^3 - 192 * q^4 - 7 * q^5 + 168 * q^6 + 24 * q^7 - 1536 * q^8 - 543 * q^9 - 56 * q^10 - 1452 * q^11 + 336 * q^12 - 688 * q^13 - 96 * q^14 - 1500 * q^15 - 3072 * q^16 + 3512 * q^17 + 1164 * q^18 - 3836 * q^19 - 112 * q^20 + 1842 * q^21 + 5808 * q^22 - 680 * q^23 - 1344 * q^24 - 7759 * q^25 - 5504 * q^26 + 3024 * q^27 - 768 * q^28 - 3210 * q^29 - 4596 * q^30 + 857 * q^31 + 12288 * q^32 - 5082 * q^33 + 7024 * q^34 + 29824 * q^35 + 13344 * q^36 + 7166 * q^37 - 7672 * q^38 - 23076 * q^39 + 448 * q^40 - 27726 * q^41 - 10680 * q^42 - 15092 * q^43 + 46464 * q^44 + 38667 * q^45 - 5440 * q^46 - 28938 * q^47 - 10752 * q^48 + 17322 * q^49 + 31036 * q^50 + 37032 * q^51 - 11008 * q^52 - 12652 * q^53 + 59832 * q^54 + 1694 * q^55 - 1536 * q^56 - 168660 * q^57 + 12840 * q^58 - 33123 * q^59 + 5616 * q^60 + 36262 * q^61 + 6856 * q^62 + 47496 * q^63 + 98304 * q^64 - 31470 * q^65 - 10164 * q^66 + 35563 * q^67 - 28096 * q^68 + 123459 * q^69 + 59648 * q^70 + 295146 * q^71 + 34752 * q^72 + 12056 * q^73 + 14332 * q^74 - 244221 * q^75 + 30688 * q^76 + 2904 * q^77 - 64200 * q^78 + 128058 * q^79 + 3584 * q^80 + 90621 * q^81 - 221808 * q^82 - 209888 * q^83 - 72192 * q^84 + 228182 * q^85 + 60368 * q^86 - 89802 * q^87 + 92928 * q^88 - 46724 * q^89 + 96972 * q^90 - 305924 * q^91 - 10880 * q^92 - 187767 * q^93 + 115752 * q^94 - 118660 * q^95 - 21504 * q^96 + 240799 * q^97 + 138576 * q^98 - 35211 * q^99

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