LMFDB - Embedded newform 10.13.c.b.3.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [10,13,Mod(3,10)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(10, base_ring=CyclotomicField(4))

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

N = Newforms(chi, 13, names="a")

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

chi := DirichletCharacter("10.3");

S:= CuspForms(chi, 13);

N := Newforms(S);

Level:	$ N $	$=$	$ 10 = 2 \cdot 5 $
Weight:	$ k $	$=$	$ 13 $
Character orbit:	$[\chi]$	$=$	10.c (of order $4$, 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:	$9.13993817276$
Analytic rank:	$0$
Dimension:	$6$
Relative dimension:	$3$ over $\Q(i)$
Coefficient field:	$\mathbb{Q}[x]/(x^{6} + \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{6} + 43009x^{4} + 461169144x^{2} + 392422062096 $ x^6 + 43009x^4 + 461169144x^2 + 392422062096
Coefficient ring:	$\Z[a_1, \ldots, a_{9}]$
Coefficient ring index:	$ 2^{5}\cdot 5^{5} $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label			3.2
Root			$30.4929i$ of defining polynomial
Character	$\chi$	$=$	10.3
Dual form			10.13.c.b.7.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(32.0000 - 32.0000i) q^{2} +(203.464 + 203.464i) q^{3} -2048.00i q^{4} +(-11784.0 - 10260.5i) q^{5} +13021.7 q^{6} +(68548.2 - 68548.2i) q^{7} +(-65536.0 - 65536.0i) q^{8} -448646. i q^{9} +O(q^{10})$	\(q+(32.0000 - 32.0000i) q^{2} +(203.464 + 203.464i) q^{3} -2048.00i q^{4} +(-11784.0 - 10260.5i) q^{5} +13021.7 q^{6} +(68548.2 - 68548.2i) q^{7} +(-65536.0 - 65536.0i) q^{8} -448646. i q^{9} +(-705424. + 48750.4i) q^{10} -785703. q^{11} +(416695. - 416695. i) q^{12} +(-3.66995e6 - 3.66995e6i) q^{13} -4.38708e6i q^{14} +(-309968. - 4.48527e6i) q^{15} -4.19430e6 q^{16} +(1.73863e7 - 1.73863e7i) q^{17} +(-1.43567e7 - 1.43567e7i) q^{18} +4.23034e7i q^{19} +(-2.10136e7 + 2.41336e7i) q^{20} +2.78942e7 q^{21} +(-2.51425e7 + 2.51425e7i) q^{22} +(1.95949e8 + 1.95949e8i) q^{23} -2.66685e7i q^{24} +(3.35837e7 + 2.41820e8i) q^{25} -2.34877e8 q^{26} +(1.99413e8 - 1.99413e8i) q^{27} +(-1.40387e8 - 1.40387e8i) q^{28} -5.16744e8i q^{29} +(-1.53448e8 - 1.33610e8i) q^{30} +3.32043e8 q^{31} +(-1.34218e8 + 1.34218e8i) q^{32} +(-1.59863e8 - 1.59863e8i) q^{33} -1.11272e9i q^{34} +(-1.51111e9 + 1.04430e8i) q^{35} -9.18826e8 q^{36} +(-1.95100e7 + 1.95100e7i) q^{37} +(1.35371e9 + 1.35371e9i) q^{38} -1.49341e9i q^{39} +(9.98409e7 + 1.44471e9i) q^{40} +2.51740e9 q^{41} +(8.92615e8 - 8.92615e8i) q^{42} +(-7.84954e7 - 7.84954e7i) q^{43} +1.60912e9i q^{44} +(-4.60334e9 + 5.28683e9i) q^{45} +1.25407e10 q^{46} +(-4.58500e9 + 4.58500e9i) q^{47} +(-8.53391e8 - 8.53391e8i) q^{48} +4.44359e9i q^{49} +(8.81291e9 + 6.66355e9i) q^{50} +7.07497e9 q^{51} +(-7.51606e9 + 7.51606e9i) q^{52} +(-2.84866e10 - 2.84866e10i) q^{53} -1.27624e10i q^{54} +(9.25871e9 + 8.06173e9i) q^{55} -8.98474e9 q^{56} +(-8.60724e9 + 8.60724e9i) q^{57} +(-1.65358e10 - 1.65358e10i) q^{58} -6.01792e10i q^{59} +(-9.18583e9 + 6.34814e8i) q^{60} +7.83913e10 q^{61} +(1.06254e10 - 1.06254e10i) q^{62} +(-3.07538e10 - 3.07538e10i) q^{63} +8.58993e9i q^{64} +(5.59099e9 + 8.09022e10i) q^{65} -1.02312e10 q^{66} +(-5.83726e10 + 5.83726e10i) q^{67} +(-3.56071e10 - 3.56071e10i) q^{68} +7.97372e10i q^{69} +(-4.50138e10 + 5.16973e10i) q^{70} +2.48852e11 q^{71} +(-2.94024e10 + 2.94024e10i) q^{72} +(6.89569e10 + 6.89569e10i) q^{73} +1.24864e9i q^{74} +(-4.23686e10 + 5.60348e10i) q^{75} +8.66374e10 q^{76} +(-5.38585e10 + 5.38585e10i) q^{77} +(-4.77890e10 - 4.77890e10i) q^{78} -4.47187e11i q^{79} +(4.94256e10 + 4.30358e10i) q^{80} -1.57282e11 q^{81} +(8.05568e10 - 8.05568e10i) q^{82} +(-5.45899e10 - 5.45899e10i) q^{83} -5.71273e10i q^{84} +(-3.83272e11 + 2.64871e10i) q^{85} -5.02370e9 q^{86} +(1.05139e11 - 1.05139e11i) q^{87} +(5.14919e10 + 5.14919e10i) q^{88} -1.68950e11i q^{89} +(2.18717e10 + 3.16485e11i) q^{90} -5.03136e11 q^{91} +(4.01303e11 - 4.01303e11i) q^{92} +(6.75588e10 + 6.75588e10i) q^{93} +2.93440e11i q^{94} +(4.34056e11 - 4.98503e11i) q^{95} -5.46170e10 q^{96} +(-8.68351e11 + 8.68351e11i) q^{97} +(1.42195e11 + 1.42195e11i) q^{98} +3.52502e11i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 6 q + 192 q^{2} + 296 q^{3} + 14460 q^{5} + 18944 q^{6} - 322104 q^{7} - 393216 q^{8}+O(q^{10}) $ 6 * q + 192 * q^2 + 296 * q^3 + 14460 * q^5 + 18944 * q^6 - 322104 * q^7 - 393216 * q^8	\( 6 q + 192 q^{2} + 296 q^{3} + 14460 q^{5} + 18944 q^{6} - 322104 q^{7} - 393216 q^{8} - 18240 q^{10} + 1652712 q^{11} + 606208 q^{12} - 4646814 q^{13} - 41776360 q^{15} - 25165824 q^{16} + 51200226 q^{17} + 36525632 q^{18} - 30781440 q^{20} + 117123272 q^{21} + 52886784 q^{22} + 105826896 q^{23} - 161517150 q^{25} - 297396096 q^{26} + 627050120 q^{27} + 659668992 q^{28} - 699452160 q^{30} - 2667117168 q^{31} - 805306368 q^{32} + 4381479992 q^{33} - 7758629520 q^{35} + 2337640448 q^{36} + 1747956246 q^{37} - 2125152000 q^{38} - 1932656640 q^{40} + 22722098232 q^{41} + 3747944704 q^{42} - 15890524824 q^{43} - 8103444470 q^{45} + 6772921344 q^{46} - 18495531264 q^{47} - 1241513984 q^{48} + 8149569600 q^{50} + 114152506432 q^{51} - 9516675072 q^{52} - 88020413514 q^{53} + 37466287320 q^{55} + 42218815488 q^{56} - 174270786400 q^{57} - 107861859840 q^{58} + 40793047040 q^{60} + 291794891352 q^{61} - 85347749376 q^{62} - 297541783984 q^{63} + 26961608790 q^{65} + 280414719488 q^{66} - 3887251464 q^{67} - 104858062848 q^{68} - 110954853120 q^{70} + 929135015472 q^{71} + 74804494336 q^{72} + 12678070086 q^{73} - 928285655600 q^{75} - 136009728000 q^{76} - 436526954808 q^{77} - 80105703936 q^{78} - 60649635840 q^{80} + 833935849906 q^{81} + 727107143424 q^{82} + 68676615456 q^{83} + 142549278930 q^{85} - 1016993588736 q^{86} - 943420476880 q^{87} - 108312133632 q^{88} + 717302271680 q^{90} - 1619146872048 q^{91} + 216733483008 q^{92} + 2320495891112 q^{93} - 1510780128600 q^{95} - 79456894976 q^{96} + 675735777846 q^{97} - 1327663144512 q^{98}+O(q^{100}) \) 6 * q + 192 * q^2 + 296 * q^3 + 14460 * q^5 + 18944 * q^6 - 322104 * q^7 - 393216 * q^8 - 18240 * q^10 + 1652712 * q^11 + 606208 * q^12 - 4646814 * q^13 - 41776360 * q^15 - 25165824 * q^16 + 51200226 * q^17 + 36525632 * q^18 - 30781440 * q^20 + 117123272 * q^21 + 52886784 * q^22 + 105826896 * q^23 - 161517150 * q^25 - 297396096 * q^26 + 627050120 * q^27 + 659668992 * q^28 - 699452160 * q^30 - 2667117168 * q^31 - 805306368 * q^32 + 4381479992 * q^33 - 7758629520 * q^35 + 2337640448 * q^36 + 1747956246 * q^37 - 2125152000 * q^38 - 1932656640 * q^40 + 22722098232 * q^41 + 3747944704 * q^42 - 15890524824 * q^43 - 8103444470 * q^45 + 6772921344 * q^46 - 18495531264 * q^47 - 1241513984 * q^48 + 8149569600 * q^50 + 114152506432 * q^51 - 9516675072 * q^52 - 88020413514 * q^53 + 37466287320 * q^55 + 42218815488 * q^56 - 174270786400 * q^57 - 107861859840 * q^58 + 40793047040 * q^60 + 291794891352 * q^61 - 85347749376 * q^62 - 297541783984 * q^63 + 26961608790 * q^65 + 280414719488 * q^66 - 3887251464 * q^67 - 104858062848 * q^68 - 110954853120 * q^70 + 929135015472 * q^71 + 74804494336 * q^72 + 12678070086 * q^73 - 928285655600 * q^75 - 136009728000 * q^76 - 436526954808 * q^77 - 80105703936 * q^78 - 60649635840 * q^80 + 833935849906 * q^81 + 727107143424 * q^82 + 68676615456 * q^83 + 142549278930 * q^85 - 1016993588736 * q^86 - 943420476880 * q^87 - 108312133632 * q^88 + 717302271680 * q^90 - 1619146872048 * q^91 + 216733483008 * q^92 + 2320495891112 * q^93 - 1510780128600 * q^95 - 79456894976 * q^96 + 675735777846 * q^97 - 1327663144512 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/10\mathbb{Z}\right)^\times$.

$n$	$7$
$\chi(n)$	$e\left(\frac{3}{4}\right)$

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 $

$2$	32.0000	−	32.0000i	0.500000	−	0.500000i
$2$	32.0000	−	32.0000i	0.500000	−	0.500000i
$3$	203.464	+	203.464i	0.279101	+	0.279101i	0.832750	−	0.553649i	$-0.186765\pi$
$3$	203.464	+	203.464i	0.279101	+	0.279101i	−0.553649	+	0.832750i	$0.686765\pi$
$4$		−	2048.00i		−	0.500000i
$5$	−11784.0	−	10260.5i	−0.754175	−	0.656674i
$5$	−11784.0	−	10260.5i	−0.754175	−	0.656674i
$6$	13021.7			0.279101
$7$	68548.2	−	68548.2i	0.582650	−	0.582650i	−0.352981	−	0.935631i	$-0.614832\pi$
$7$	68548.2	−	68548.2i	0.582650	−	0.582650i	0.935631	+	0.352981i	$0.114832\pi$
$8$	−65536.0	−	65536.0i	−0.250000	−	0.250000i
$9$		−	448646.i		−	0.844206i
$10$	−705424.	+	48750.4i	−0.705424	+	0.0487504i
$11$	−785703.			−0.443509			−0.221755	−	0.975103i	$-0.571178\pi$
$11$	−785703.			−0.443509			−0.221755	+	0.975103i	$0.571178\pi$
$12$	416695.	−	416695.i	0.139550	−	0.139550i
$13$	−3.66995e6	−	3.66995e6i	−0.760326	−	0.760326i	0.216055	−	0.976381i	$-0.430681\pi$
$13$	−3.66995e6	−	3.66995e6i	−0.760326	−	0.760326i	−0.976381	+	0.216055i	$0.930681\pi$
$14$		−	4.38708e6i		−	0.582650i
$15$	−309968.	−	4.48527e6i	−0.0272125	−	0.393769i
$16$	−4.19430e6			−0.250000
$17$	1.73863e7	−	1.73863e7i	0.720299	−	0.720299i	−0.248367	−	0.968666i	$-0.579894\pi$
$17$	1.73863e7	−	1.73863e7i	0.720299	−	0.720299i	0.968666	+	0.248367i	$0.0798940\pi$
$18$	−1.43567e7	−	1.43567e7i	−0.422103	−	0.422103i
$19$			4.23034e7i			0.899195i	0.893231	+	0.449598i	$0.148433\pi$
$19$			4.23034e7i			0.899195i	−0.893231	+	0.449598i	$0.851567\pi$
$20$	−2.10136e7	+	2.41336e7i	−0.328337	+	0.377087i
$21$	2.78942e7			0.325236
$22$	−2.51425e7	+	2.51425e7i	−0.221755	+	0.221755i
$23$	1.95949e8	+	1.95949e8i	1.32366	+	1.32366i	0.910791	+	0.412867i	$0.135473\pi$
$23$	1.95949e8	+	1.95949e8i	1.32366	+	1.32366i	0.412867	+	0.910791i	$0.364527\pi$
$24$		−	2.66685e7i		−	0.139550i
$25$	3.35837e7	+	2.41820e8i	0.137559	+	0.990494i
$26$	−2.34877e8			−0.760326
$27$	1.99413e8	−	1.99413e8i	0.514719	−	0.514719i
$28$	−1.40387e8	−	1.40387e8i	−0.291325	−	0.291325i
$29$		−	5.16744e8i		−	0.868735i	−0.900736	−	0.434368i	$-0.856972\pi$
$29$		−	5.16744e8i		−	0.868735i	0.900736	−	0.434368i	$-0.143028\pi$
$30$	−1.53448e8	−	1.33610e8i	−0.210491	−	0.183278i
$31$	3.32043e8			0.374131			0.187065	−	0.982347i	$-0.440102\pi$
$31$	3.32043e8			0.374131			0.187065	+	0.982347i	$0.440102\pi$
$32$	−1.34218e8	+	1.34218e8i	−0.125000	+	0.125000i
$33$	−1.59863e8	−	1.59863e8i	−0.123784	−	0.123784i
$34$		−	1.11272e9i		−	0.720299i
$35$	−1.51111e9	+	1.04430e8i	−0.822030	+	0.0568088i
$36$	−9.18826e8			−0.422103
$37$	−1.95100e7	+	1.95100e7i	−0.00760409	+	0.00760409i	−0.710899	−	0.703295i	$-0.751712\pi$
$37$	−1.95100e7	+	1.95100e7i	−0.00760409	+	0.00760409i	0.703295	+	0.710899i	$0.251712\pi$
$38$	1.35371e9	+	1.35371e9i	0.449598	+	0.449598i
$39$		−	1.49341e9i		−	0.424415i
$40$	9.98409e7	+	1.44471e9i	0.0243752	+	0.352712i
$41$	2.51740e9			0.529967			0.264984	−	0.964253i	$-0.414633\pi$
$41$	2.51740e9			0.529967			0.264984	+	0.964253i	$0.414633\pi$
$42$	8.92615e8	−	8.92615e8i	0.162618	−	0.162618i
$43$	−7.84954e7	−	7.84954e7i	−0.0124175	−	0.0124175i	0.700871	−	0.713288i	$-0.252795\pi$
$43$	−7.84954e7	−	7.84954e7i	−0.0124175	−	0.0124175i	−0.713288	+	0.700871i	$0.752795\pi$
$44$			1.60912e9i			0.221755i
$45$	−4.60334e9	+	5.28683e9i	−0.554368	+	0.636679i
$46$	1.25407e10			1.32366
$47$	−4.58500e9	+	4.58500e9i	−0.425356	+	0.425356i	−0.887043	−	0.461687i	$-0.847244\pi$
$47$	−4.58500e9	+	4.58500e9i	−0.425356	+	0.425356i	0.461687	+	0.887043i	$0.347244\pi$
$48$	−8.53391e8	−	8.53391e8i	−0.0697751	−	0.0697751i
$49$			4.44359e9i			0.321039i
$50$	8.81291e9	+	6.66355e9i	0.564026	+	0.426467i
$51$	7.07497e9			0.402072
$52$	−7.51606e9	+	7.51606e9i	−0.380163	+	0.380163i
$53$	−2.84866e10	−	2.84866e10i	−1.28524	−	1.28524i	−0.937643	−	0.347600i	$-0.886997\pi$
$53$	−2.84866e10	−	2.84866e10i	−1.28524	−	1.28524i	−0.347600	−	0.937643i	$-0.613003\pi$
$54$		−	1.27624e10i		−	0.514719i
$55$	9.25871e9	+	8.06173e9i	0.334483	+	0.291241i
$56$	−8.98474e9			−0.291325
$57$	−8.60724e9	+	8.60724e9i	−0.250966	+	0.250966i
$58$	−1.65358e10	−	1.65358e10i	−0.434368	−	0.434368i
$59$		−	6.01792e10i		−	1.42670i	−0.700806	−	0.713352i	$-0.747176\pi$
$59$		−	6.01792e10i		−	1.42670i	0.700806	−	0.713352i	$-0.252824\pi$
$60$	−9.18583e9	+	6.34814e8i	−0.196884	+	0.0136063i
$61$	7.83913e10			1.52156			0.760780	−	0.649010i	$-0.224817\pi$
$61$	7.83913e10			1.52156			0.760780	+	0.649010i	$0.224817\pi$
$62$	1.06254e10	−	1.06254e10i	0.187065	−	0.187065i
$63$	−3.07538e10	−	3.07538e10i	−0.491876	−	0.491876i
$64$			8.58993e9i			0.125000i
$65$	5.59099e9	+	8.09022e10i	0.0741324	+	1.07271i
$66$	−1.02312e10			−0.123784
$67$	−5.83726e10	+	5.83726e10i	−0.645297	+	0.645297i	−0.951853	−	0.306555i	$-0.900824\pi$
$67$	−5.83726e10	+	5.83726e10i	−0.645297	+	0.645297i	0.306555	+	0.951853i	$0.400824\pi$
$68$	−3.56071e10	−	3.56071e10i	−0.360149	−	0.360149i
$69$			7.97372e10i			0.738868i
$70$	−4.50138e10	+	5.16973e10i	−0.382611	+	0.439420i
$71$	2.48852e11			1.94263			0.971316	−	0.237792i	$-0.0764237\pi$
$71$	2.48852e11			1.94263			0.971316	+	0.237792i	$0.0764237\pi$
$72$	−2.94024e10	+	2.94024e10i	−0.211051	+	0.211051i
$73$	6.89569e10	+	6.89569e10i	0.455659	+	0.455659i	0.897228	−	0.441568i	$-0.145578\pi$
$73$	6.89569e10	+	6.89569e10i	0.455659	+	0.455659i	−0.441568	+	0.897228i	$0.645578\pi$
$74$			1.24864e9i			0.00760409i
$75$	−4.23686e10	+	5.60348e10i	−0.238055	+	0.314840i
$76$	8.66374e10			0.449598
$77$	−5.38585e10	+	5.38585e10i	−0.258410	+	0.258410i
$78$	−4.77890e10	−	4.77890e10i	−0.212207	−	0.212207i
$79$		−	4.47187e11i		−	1.83961i	−0.392373	−	0.919806i	$-0.628346\pi$
$79$		−	4.47187e11i		−	1.83961i	0.392373	−	0.919806i	$-0.371654\pi$
$80$	4.94256e10	+	4.30358e10i	0.188544	+	0.164168i
$81$	−1.57282e11			−0.556889
$82$	8.05568e10	−	8.05568e10i	0.264984	−	0.264984i
$83$	−5.45899e10	−	5.45899e10i	−0.166972	−	0.166972i	0.618675	−	0.785647i	$-0.287670\pi$
$83$	−5.45899e10	−	5.45899e10i	−0.166972	−	0.166972i	−0.785647	+	0.618675i	$0.787670\pi$
$84$		−	5.71273e10i		−	0.162618i
$85$	−3.83272e11	+	2.64871e10i	−1.01623	+	0.0702297i
$86$	−5.02370e9			−0.0124175
$87$	1.05139e11	−	1.05139e11i	0.242464	−	0.242464i
$88$	5.14919e10	+	5.14919e10i	0.110877	+	0.110877i
$89$		−	1.68950e11i		−	0.339953i	−0.985448	−	0.169976i	$-0.945631\pi$
$89$		−	1.68950e11i		−	0.339953i	0.985448	−	0.169976i	$-0.0543692\pi$
$90$	2.18717e10	+	3.16485e11i	0.0411554	+	0.595523i
$91$	−5.03136e11			−0.886008
$92$	4.01303e11	−	4.01303e11i	0.661829	−	0.661829i
$93$	6.75588e10	+	6.75588e10i	0.104420	+	0.104420i
$94$			2.93440e11i			0.425356i
$95$	4.34056e11	−	4.98503e11i	0.590478	−	0.678150i
$96$	−5.46170e10			−0.0697751
$97$	−8.68351e11	+	8.68351e11i	−1.04247	+	1.04247i	−0.0434162	+	0.999057i	$0.513824\pi$
$97$	−8.68351e11	+	8.68351e11i	−1.04247	+	1.04247i	−0.999057	+	0.0434162i	$0.986176\pi$
$98$	1.42195e11	+	1.42195e11i	0.160519	+	0.160519i
$99$			3.52502e11i			0.374413i
$100$	4.95247e11	−	6.87795e10i	0.495247	−	0.0687795i
$101$	1.03769e12			0.977551			0.488775	−	0.872410i	$-0.337444\pi$
$101$	1.03769e12			0.977551			0.488775	+	0.872410i	$0.337444\pi$
$102$	2.26399e11	−	2.26399e11i	0.201036	−	0.201036i
$103$	3.27898e11	+	3.27898e11i	0.274609	+	0.274609i	0.830952	−	0.556343i	$-0.187796\pi$
$103$	3.27898e11	+	3.27898e11i	0.274609	+	0.274609i	−0.556343	+	0.830952i	$0.687796\pi$
$104$			4.81028e11i			0.380163i
$105$	−3.28705e11	−	2.86209e11i	−0.245285	−	0.213574i
$106$	−1.82314e12			−1.28524
$107$	1.26586e12	−	1.26586e12i	0.843496	−	0.843496i	−0.145816	−	0.989312i	$-0.546581\pi$
$107$	1.26586e12	−	1.26586e12i	0.843496	−	0.843496i	0.989312	+	0.145816i	$0.0465807\pi$
$108$	−4.08397e11	−	4.08397e11i	−0.257359	−	0.257359i
$109$			2.74114e12i			1.63445i	0.576316	+	0.817227i	$0.304490\pi$
$109$			2.74114e12i			1.63445i	−0.576316	+	0.817227i	$0.695510\pi$
$110$	5.54254e11	−	3.83034e10i	0.312862	−	0.0216213i
$111$	−7.93918e9			−0.00424461
$112$	−2.87512e11	+	2.87512e11i	−0.145662	+	0.145662i
$113$	1.78497e12	+	1.78497e12i	0.857353	+	0.857353i	0.991026	−	0.133673i	$-0.0426770\pi$
$113$	1.78497e12	+	1.78497e12i	0.857353	+	0.857353i	−0.133673	+	0.991026i	$0.542677\pi$
$114$			5.50863e11i			0.250966i
$115$	−2.98519e11	−	4.31960e12i	−0.129058	−	1.86748i
$116$	−1.05829e12			−0.434368
$117$	−1.64651e12	+	1.64651e12i	−0.641872	+	0.641872i
$118$	−1.92573e12	−	1.92573e12i	−0.713352	−	0.713352i
$119$		−	2.38359e12i		−	0.839364i
$120$	−2.73633e11	+	3.14261e11i	−0.0916390	+	0.105245i
$121$	−2.52110e12			−0.803300
$122$	2.50852e12	−	2.50852e12i	0.760780	−	0.760780i
$123$	5.12201e11	+	5.12201e11i	0.147914	+	0.147914i
$124$		−	6.80023e11i		−	0.187065i
$125$	2.08545e12	−	3.19419e12i	0.546688	−	0.837337i
$126$	−1.96824e12			−0.491876
$127$	−6.95666e11	+	6.95666e11i	−0.165798	+	0.165798i	−0.785129	−	0.619332i	$-0.787404\pi$
$127$	−6.95666e11	+	6.95666e11i	−0.165798	+	0.165798i	0.619332	+	0.785129i	$0.287404\pi$
$128$	2.74878e11	+	2.74878e11i	0.0625000	+	0.0625000i
$129$		−	3.19420e10i		−	0.00693145i
$130$	2.76778e12	+	2.40996e12i	0.573419	+	0.499286i
$131$	2.95583e12			0.584860			0.292430	−	0.956287i	$-0.405536\pi$
$131$	2.95583e12			0.584860			0.292430	+	0.956287i	$0.405536\pi$
$132$	−3.27399e11	+	3.27399e11i	−0.0618918	+	0.0618918i
$133$	2.89982e12	+	2.89982e12i	0.523916	+	0.523916i
$134$			3.73584e12i			0.645297i
$135$	−4.39595e12	+	3.03795e11i	−0.726190	+	0.0501855i
$136$	−2.27885e12			−0.360149
$137$	−2.52275e12	+	2.52275e12i	−0.381549	+	0.381549i	−0.871660	−	0.490111i	$-0.836956\pi$
$137$	−2.52275e12	+	2.52275e12i	−0.381549	+	0.381549i	0.490111	+	0.871660i	$0.336956\pi$
$138$	2.55159e12	+	2.55159e12i	0.369434	+	0.369434i
$139$			3.94492e12i			0.546952i	0.961879	+	0.273476i	$0.0881734\pi$
$139$			3.94492e12i			0.546952i	−0.961879	+	0.273476i	$0.911827\pi$
$140$	2.13872e11	+	3.09475e12i	0.0284044	+	0.411015i
$141$	−1.86577e12			−0.237434
$142$	7.96326e12	−	7.96326e12i	0.971316	−	0.971316i
$143$	2.88349e12	+	2.88349e12i	0.337212	+	0.337212i
$144$			1.88176e12i			0.211051i
$145$	−5.30207e12	+	6.08930e12i	−0.570476	+	0.655178i
$146$	4.41324e12			0.455659
$147$	−9.04112e11	+	9.04112e11i	−0.0896021	+	0.0896021i
$148$	3.99565e10	+	3.99565e10i	0.00380205	+	0.00380205i
$149$		−	1.88051e13i		−	1.71854i	−0.511526	−	0.859268i	$-0.670919\pi$
$149$		−	1.88051e13i		−	1.71854i	0.511526	−	0.859268i	$-0.329081\pi$
$150$	4.37318e11	+	3.14891e12i	0.0383928	+	0.276447i
$151$	1.91668e11			0.0161692			0.00808461	−	0.999967i	$-0.497427\pi$
$151$	1.91668e11			0.0161692			0.00808461	+	0.999967i	$0.497427\pi$
$152$	2.77240e12	−	2.77240e12i	0.224799	−	0.224799i
$153$	−7.80027e12	−	7.80027e12i	−0.608080	−	0.608080i
$154$			3.44694e12i			0.258410i
$155$	−3.91278e12	−	3.40693e12i	−0.282160	−	0.245682i
$156$	−3.05850e12			−0.212207
$157$	−2.57077e12	+	2.57077e12i	−0.171659	+	0.171659i	−0.787708	−	0.616049i	$-0.788732\pi$
$157$	−2.57077e12	+	2.57077e12i	−0.171659	+	0.171659i	0.616049	+	0.787708i	$0.288732\pi$
$158$	−1.43100e13	−	1.43100e13i	−0.919806	−	0.919806i
$159$		−	1.15920e13i		−	0.717424i
$160$	2.95876e12	−	2.04474e11i	0.176356	−	0.0121876i
$161$	2.68639e13			1.54246
$162$	−5.03302e12	+	5.03302e12i	−0.278445	+	0.278445i
$163$	−1.88804e11	−	1.88804e11i	−0.0100667	−	0.0100667i	0.702056	−	0.712122i	$-0.252266\pi$
$163$	−1.88804e11	−	1.88804e11i	−0.0100667	−	0.0100667i	−0.712122	+	0.702056i	$0.752266\pi$
$164$		−	5.15564e12i		−	0.264984i
$165$	2.43543e11	+	3.52409e12i	0.0120690	+	0.174640i
$166$	−3.49375e12			−0.166972
$167$	−2.23581e13	+	2.23581e13i	−1.03071	+	1.03071i	−0.0311979	+	0.999513i	$0.509932\pi$
$167$	−2.23581e13	+	2.23581e13i	−1.03071	+	1.03071i	−0.999513	+	0.0311979i	$0.990068\pi$
$168$	−1.82807e12	−	1.82807e12i	−0.0813089	−	0.0813089i
$169$			3.63897e12i			0.156192i
$170$	−1.14171e13	+	1.31123e13i	−0.473001	+	0.543231i
$171$	1.89792e13			0.759106
$172$	−1.60759e11	+	1.60759e11i	−0.00620874	+	0.00620874i
$173$	−7.41423e12	−	7.41423e12i	−0.276560	−	0.276560i	0.555174	−	0.831734i	$-0.312652\pi$
$173$	−7.41423e12	−	7.41423e12i	−0.276560	−	0.276560i	−0.831734	+	0.555174i	$0.812652\pi$
$174$		−	6.72889e12i		−	0.242464i
$175$	1.88784e13	+	1.42742e13i	0.657259	+	0.496962i
$176$	3.29548e12			0.110877
$177$	1.22443e13	−	1.22443e13i	0.398194	−	0.398194i
$178$	−5.40641e12	−	5.40641e12i	−0.169976	−	0.169976i
$179$			2.84842e13i			0.865937i	0.901409	+	0.432969i	$0.142534\pi$
$179$			2.84842e13i			0.865937i	−0.901409	+	0.432969i	$0.857466\pi$
$180$	1.08274e13	+	9.42764e12i	0.318339	+	0.277184i
$181$	4.12794e13			1.17398			0.586992	−	0.809593i	$-0.300312\pi$
$181$	4.12794e13			1.17398			0.586992	+	0.809593i	$0.300312\pi$
$182$	−1.61004e13	+	1.61004e13i	−0.443004	+	0.443004i
$183$	1.59498e13	+	1.59498e13i	0.424668	+	0.424668i
$184$		−	2.56834e13i		−	0.661829i
$185$	4.30089e11	−	2.97226e10i	0.0107282	−	0.000741405i
$186$	4.32376e12			0.104420
$187$	−1.36604e13	+	1.36604e13i	−0.319459	+	0.319459i
$188$	9.39008e12	+	9.39008e12i	0.212678	+	0.212678i
$189$		−	2.73387e13i		−	0.599802i
$190$	−2.06231e12	−	2.98419e13i	−0.0438361	−	0.634314i
$191$	−5.01135e13			−1.03218			−0.516089	−	0.856535i	$-0.672612\pi$
$191$	−5.01135e13			−1.03218			−0.516089	+	0.856535i	$0.672612\pi$
$192$	−1.74775e12	+	1.74775e12i	−0.0348876	+	0.0348876i
$193$	−4.60493e13	−	4.60493e13i	−0.891003	−	0.891003i	0.103615	−	0.994618i	$-0.466959\pi$
$193$	−4.60493e13	−	4.60493e13i	−0.891003	−	0.891003i	−0.994618	+	0.103615i	$0.966959\pi$
$194$			5.55745e13i			1.04247i
$195$	−1.53231e13	+	1.75983e13i	−0.278702	+	0.320083i
$196$	9.10047e12			0.160519
$197$	1.35225e13	−	1.35225e13i	0.231345	−	0.231345i	−0.581909	−	0.813254i	$-0.697694\pi$
$197$	1.35225e13	−	1.35225e13i	0.231345	−	0.231345i	0.813254	+	0.581909i	$0.197694\pi$
$198$	1.12801e13	+	1.12801e13i	0.187206	+	0.187206i
$199$			3.52091e13i			0.566939i	0.958981	+	0.283470i	$0.0914855\pi$
$199$			3.52091e13i			0.566939i	−0.958981	+	0.283470i	$0.908515\pi$
$200$	1.36470e13	−	1.80488e13i	0.213234	−	0.282013i
$201$	−2.37535e13			−0.360206
$202$	3.32061e13	−	3.32061e13i	0.488775	−	0.488775i
$203$	−3.54218e13	−	3.54218e13i	−0.506168	−	0.506168i
$204$		−	1.44895e13i		−	0.201036i
$205$	−2.96650e13	−	2.58299e13i	−0.399688	−	0.348016i
$206$	2.09854e13			0.274609
$207$	8.79116e13	−	8.79116e13i	1.11744	−	1.11744i
$208$	1.53929e13	+	1.53929e13i	0.190082	+	0.190082i
$209$		−	3.32379e13i		−	0.398801i
$210$	−1.96772e13	+	1.35985e12i	−0.229429	+	0.0158554i
$211$	−1.21496e14			−1.37678			−0.688392	−	0.725338i	$-0.741683\pi$
$211$	−1.21496e14			−1.37678			−0.688392	+	0.725338i	$0.741683\pi$
$212$	−5.83405e13	+	5.83405e13i	−0.642621	+	0.642621i
$213$	5.06324e13	+	5.06324e13i	0.542190	+	0.542190i
$214$		−	8.10150e13i		−	0.843496i
$215$	1.19584e11	+	1.73039e12i	0.00121071	+	0.0175192i
$216$	−2.61374e13			−0.257359
$217$	2.27609e13	−	2.27609e13i	0.217987	−	0.217987i
$218$	8.77165e13	+	8.77165e13i	0.817227	+	0.817227i
$219$			2.80605e13i			0.254350i
$220$	1.65104e13	−	1.89618e13i	0.145620	−	0.167242i
$221$	−1.27613e14			−1.09532
$222$	−2.54054e11	+	2.54054e11i	−0.00212231	+	0.00212231i
$223$	1.40642e14	+	1.40642e14i	1.14363	+	1.14363i	0.987780	+	0.155853i	$0.0498127\pi$
$223$	1.40642e14	+	1.40642e14i	1.14363	+	1.14363i	0.155853	+	0.987780i	$0.450187\pi$
$224$			1.84008e13i			0.145662i
$225$	1.08491e14	−	1.50672e13i	0.836180	−	0.116128i
$226$	1.14238e14			0.857353
$227$	−2.82523e13	+	2.82523e13i	−0.206490	+	0.206490i	−0.802774	−	0.596284i	$-0.796643\pi$
$227$	−2.82523e13	+	2.82523e13i	−0.206490	+	0.206490i	0.596284	+	0.802774i	$0.296643\pi$
$228$	1.76276e13	+	1.76276e13i	0.125483	+	0.125483i
$229$			2.28157e14i			1.58206i	0.611780	+	0.791028i	$0.290454\pi$
$229$			2.28157e14i			1.58206i	−0.611780	+	0.791028i	$0.709546\pi$
$230$	−1.47780e14	−	1.28675e14i	−0.998270	−	0.869212i
$231$	−2.19166e13			−0.144245
$232$	−3.38653e13	+	3.38653e13i	−0.217184	+	0.217184i
$233$	4.82219e13	+	4.82219e13i	0.301376	+	0.301376i	0.841552	−	0.540176i	$-0.181642\pi$
$233$	4.82219e13	+	4.82219e13i	0.301376	+	0.301376i	−0.540176	+	0.841552i	$0.681642\pi$
$234$			1.05376e14i			0.641872i
$235$	1.01074e14	−	6.98503e12i	0.600113	−	0.0414726i
$236$	−1.23247e14			−0.713352
$237$	9.09866e13	−	9.09866e13i	0.513437	−	0.513437i
$238$	−7.62749e13	−	7.62749e13i	−0.419682	−	0.419682i
$239$		−	5.98099e13i		−	0.320912i	−0.987043	−	0.160456i	$-0.948704\pi$
$239$		−	5.98099e13i		−	0.320912i	0.987043	−	0.160456i	$-0.0512964\pi$
$240$	1.30010e12	+	1.88126e13i	0.00680314	+	0.0984422i
$241$	−4.22632e13			−0.215705			−0.107852	−	0.994167i	$-0.534397\pi$
$241$	−4.22632e13			−0.215705			−0.107852	+	0.994167i	$0.534397\pi$
$242$	−8.06752e13	+	8.06752e13i	−0.401650	+	0.401650i
$243$	−1.37977e14	−	1.37977e14i	−0.670147	−	0.670147i
$244$		−	1.60545e14i		−	0.760780i
$245$	4.55936e13	−	5.23632e13i	0.210818	−	0.242119i
$246$	3.27809e13			0.147914
$247$	1.55251e14	−	1.55251e14i	0.683682	−	0.683682i
$248$	−2.17607e13	−	2.17607e13i	−0.0935327	−	0.0935327i
$249$		−	2.22142e13i		−	0.0932040i
$250$	−3.54796e13	−	1.68948e14i	−0.145324	−	0.692012i
$251$	1.41521e14			0.565949			0.282974	−	0.959127i	$-0.408679\pi$
$251$	1.41521e14			0.565949			0.282974	+	0.959127i	$0.408679\pi$
$252$	−6.29838e13	+	6.29838e13i	−0.245938	+	0.245938i
$253$	−1.53958e14	−	1.53958e14i	−0.587054	−	0.587054i
$254$			4.45226e13i			0.165798i
$255$	−8.33713e13	−	7.25929e13i	−0.303232	−	0.264030i
$256$	1.75922e13			0.0625000
$257$	−1.09962e14	+	1.09962e14i	−0.381630	+	0.381630i	−0.871689	−	0.490059i	$-0.836975\pi$
$257$	−1.09962e14	+	1.09962e14i	−0.381630	+	0.381630i	0.490059	+	0.871689i	$0.336975\pi$
$258$	−1.02214e12	−	1.02214e12i	−0.00346572	−	0.00346572i
$259$			2.67475e12i			0.00886104i
$260$	1.65688e14	−	1.14503e13i	0.536353	−	0.0370662i
$261$	−2.31835e14			−0.733391
$262$	9.45866e13	−	9.45866e13i	0.292430	−	0.292430i
$263$	−8.05756e13	−	8.05756e13i	−0.243483	−	0.243483i	0.574806	−	0.818289i	$-0.305077\pi$
$263$	−8.05756e13	−	8.05756e13i	−0.243483	−	0.243483i	−0.818289	+	0.574806i	$0.805077\pi$
$264$			2.09535e13i			0.0618918i
$265$	4.33979e13	+	6.27973e14i	0.125312	+	1.81328i
$266$	1.85589e14			0.523916
$267$	3.43754e13	−	3.43754e13i	0.0948811	−	0.0948811i
$268$	1.19547e14	+	1.19547e14i	0.322649	+	0.322649i
$269$			1.33982e14i			0.353616i	0.984245	+	0.176808i	$0.0565772\pi$
$269$			1.33982e14i			0.353616i	−0.984245	+	0.176808i	$0.943423\pi$
$270$	−1.30949e14	+	1.50392e14i	−0.338002	+	0.388188i
$271$	2.42030e14			0.611018			0.305509	−	0.952189i	$-0.401173\pi$
$271$	2.42030e14			0.611018			0.305509	+	0.952189i	$0.401173\pi$
$272$	−7.29233e13	+	7.29233e13i	−0.180075	+	0.180075i
$273$	−1.02370e14	−	1.02370e14i	−0.247285	−	0.247285i
$274$			1.61456e14i			0.381549i
$275$	−2.63868e13	−	1.89999e14i	−0.0610086	−	0.439293i
$276$	1.63302e14			0.369434
$277$	−3.96340e14	+	3.96340e14i	−0.877382	+	0.877382i	−0.993263	−	0.115881i	$-0.963031\pi$
$277$	−3.96340e14	+	3.96340e14i	−0.877382	+	0.877382i	0.115881	+	0.993263i	$0.463031\pi$
$278$	1.26237e14	+	1.26237e14i	0.273476	+	0.273476i
$279$		−	1.48969e14i		−	0.315843i
$280$	1.05876e14	+	9.21882e13i	0.219710	+	0.191305i
$281$	5.69516e14			1.15683			0.578413	−	0.815744i	$-0.303672\pi$
$281$	5.69516e14			1.15683			0.578413	+	0.815744i	$0.303672\pi$
$282$	−5.97046e13	+	5.97046e13i	−0.118717	+	0.118717i
$283$	−2.87667e14	−	2.87667e14i	−0.559978	−	0.559978i	0.369323	−	0.929301i	$-0.379590\pi$
$283$	−2.87667e14	−	2.87667e14i	−0.559978	−	0.559978i	−0.929301	+	0.369323i	$0.879590\pi$
$284$		−	5.09648e14i		−	0.971316i
$285$	1.89742e14	−	1.31127e13i	0.354075	−	0.0244694i
$286$	1.84543e14			0.337212
$287$	1.72563e14	−	1.72563e14i	0.308785	−	0.308785i
$288$	6.02162e13	+	6.02162e13i	0.105526	+	0.105526i
$289$		−	2.19418e13i		−	0.0376604i
$290$	2.51915e13	+	3.64524e14i	0.0423512	+	0.612827i
$291$	−3.53357e14			−0.581910
$292$	1.41224e14	−	1.41224e14i	0.227830	−	0.227830i
$293$	3.47103e14	+	3.47103e14i	0.548596	+	0.548596i	0.926035	−	0.377439i	$-0.123195\pi$
$293$	3.47103e14	+	3.47103e14i	0.548596	+	0.548596i	−0.377439	+	0.926035i	$0.623195\pi$
$294$			5.78632e13i			0.0896021i
$295$	−6.17470e14	+	7.09150e14i	−0.936880	+	1.07598i
$296$	2.55722e12			0.00380205
$297$	−1.56679e14	+	1.56679e14i	−0.228282	+	0.228282i
$298$	−6.01764e14	−	6.01764e14i	−0.859268	−	0.859268i
$299$		−	1.43825e15i		−	2.01282i
$300$	1.14759e14	+	8.67709e13i	0.157420	+	0.119027i
$301$	−1.07614e13			−0.0144701
$302$	6.13339e12	−	6.13339e12i	0.00808461	−	0.00808461i
$303$	2.11133e14	+	2.11133e14i	0.272835	+	0.272835i
$304$		−	1.77433e14i		−	0.224799i
$305$	−9.23761e14	−	8.04336e14i	−1.14752	−	0.999168i
$306$	−4.99217e14			−0.608080
$307$	−6.19240e13	+	6.19240e13i	−0.0739655	+	0.0739655i	−0.743122	−	0.669156i	$-0.766656\pi$
$307$	−6.19240e13	+	6.19240e13i	−0.0739655	+	0.0739655i	0.669156	+	0.743122i	$0.266656\pi$
$308$	1.10302e14	+	1.10302e14i	0.129205	+	0.129205i
$309$			1.33431e14i			0.153287i
$310$	−2.34231e14	+	1.61872e13i	−0.263921	+	0.0182390i
$311$	1.72188e15			1.90301			0.951503	−	0.307640i	$-0.0995392\pi$
$311$	1.72188e15			1.90301			0.951503	+	0.307640i	$0.0995392\pi$
$312$	−9.78719e13	+	9.78719e13i	−0.106104	+	0.106104i
$313$	−2.45259e14	−	2.45259e14i	−0.260831	−	0.260831i	0.564560	−	0.825392i	$-0.309046\pi$
$313$	−2.45259e14	−	2.45259e14i	−0.260831	−	0.260831i	−0.825392	+	0.564560i	$0.809046\pi$
$314$			1.64529e14i			0.171659i
$315$	4.68519e13	+	6.77953e14i	0.0479583	+	0.693963i
$316$	−9.15839e14			−0.919806
$317$	1.79684e14	−	1.79684e14i	0.177074	−	0.177074i	−0.613005	−	0.790079i	$-0.710039\pi$
$317$	1.79684e14	−	1.79684e14i	0.177074	−	0.177074i	0.790079	+	0.613005i	$0.210039\pi$
$318$	−3.70944e14	−	3.70944e14i	−0.358712	−	0.358712i
$319$			4.06007e14i			0.385292i
$320$	8.81373e13	−	1.01224e14i	0.0820842	−	0.0942718i
$321$	5.15115e14			0.470840
$322$	8.59644e14	−	8.59644e14i	0.771229	−	0.771229i
$323$	7.35498e14	+	7.35498e14i	0.647689	+	0.647689i
$324$			3.22113e14i			0.278445i
$325$	7.64216e14	−	1.01072e15i	0.648509	−	0.857688i
$326$	−1.20835e13			−0.0100667
$327$	−5.57725e14	+	5.57725e14i	−0.456177	+	0.456177i
$328$	−1.64980e14	−	1.64980e14i	−0.132492	−	0.132492i
$329$			6.28587e14i			0.495667i
$330$	1.20564e14	+	1.04978e14i	0.0933545	+	0.0812855i
$331$	−1.38458e15			−1.05281			−0.526406	−	0.850233i	$-0.676461\pi$
$331$	−1.38458e15			−1.05281			−0.526406	+	0.850233i	$0.676461\pi$
$332$	−1.11800e14	+	1.11800e14i	−0.0834860	+	0.0834860i
$333$	8.75308e12	+	8.75308e12i	0.00641942	+	0.00641942i
$334$			1.43092e15i			1.03071i
$335$	1.28679e15	−	8.89277e13i	0.910417	−	0.0629170i
$336$	−1.16997e14			−0.0813089
$337$	1.51954e13	−	1.51954e13i	0.0103737	−	0.0103737i	−0.701901	−	0.712275i	$-0.747665\pi$
$337$	1.51954e13	−	1.51954e13i	0.0103737	−	0.0103737i	0.712275	+	0.701901i	$0.247665\pi$
$338$	1.16447e14	+	1.16447e14i	0.0780959	+	0.0780959i
$339$			7.26354e14i			0.478575i
$340$	5.42456e13	+	7.84940e14i	0.0351149	+	0.508116i
$341$	−2.60887e14			−0.165930
$342$	6.07336e14	−	6.07336e14i	0.379553	−	0.379553i
$343$	1.25339e15	+	1.25339e15i	0.769703	+	0.769703i
$344$			1.02885e13i			0.00620874i
$345$	8.18146e14	−	9.39622e14i	0.485195	−	0.557235i
$346$	−4.74510e14			−0.276560
$347$	−1.62578e15	+	1.62578e15i	−0.931291	+	0.931291i	−0.997787	−	0.0664960i	$-0.978818\pi$
$347$	−1.62578e15	+	1.62578e15i	−0.931291	+	0.931291i	0.0664960	+	0.997787i	$0.478818\pi$
$348$	−2.15325e14	−	2.15325e14i	−0.121232	−	0.121232i
$349$		−	1.25392e14i		−	0.0693932i	−0.999398	−	0.0346966i	$-0.988954\pi$
$349$		−	1.25392e14i		−	0.0693932i	0.999398	−	0.0346966i	$-0.0110465\pi$
$350$	1.06088e15	−	1.47335e14i	0.577111	−	0.0801487i
$351$	−1.46367e15			−0.782708
$352$	1.05455e14	−	1.05455e14i	0.0554386	−	0.0554386i
$353$	−9.32649e14	−	9.32649e14i	−0.482026	−	0.482026i	0.423752	−	0.905778i	$-0.360713\pi$
$353$	−9.32649e14	−	9.32649e14i	−0.482026	−	0.482026i	−0.905778	+	0.423752i	$0.860713\pi$
$354$		−	7.83636e14i		−	0.398194i
$355$	−2.93246e15	−	2.55335e15i	−1.46508	−	1.27568i
$356$	−3.46010e14			−0.169976
$357$	4.84976e14	−	4.84976e14i	0.234267	−	0.234267i
$358$	9.11496e14	+	9.11496e14i	0.432969	+	0.432969i
$359$		−	2.87193e14i		−	0.134155i	−0.997748	−	0.0670776i	$-0.978632\pi$
$359$		−	2.87193e14i		−	0.134155i	0.997748	−	0.0670776i	$-0.0213675\pi$
$360$	6.48162e14	−	4.47932e13i	0.297762	−	0.0205777i
$361$	4.23735e14			0.191448
$362$	1.32094e15	−	1.32094e15i	0.586992	−	0.586992i
$363$	−5.12954e14	−	5.12954e14i	−0.224201	−	0.224201i
$364$			1.03042e15i			0.443004i
$365$	−1.05052e14	−	1.52012e15i	−0.0444272	−	0.642866i
$366$	1.02079e15			0.424668
$367$	1.90834e15	−	1.90834e15i	0.781016	−	0.781016i	−0.198986	−	0.980002i	$-0.563765\pi$
$367$	1.90834e15	−	1.90834e15i	0.781016	−	0.781016i	0.980002	+	0.198986i	$0.0637650\pi$
$368$	−8.21869e14	−	8.21869e14i	−0.330915	−	0.330915i
$369$		−	1.12942e15i		−	0.447402i
$370$	1.28117e13	−	1.47140e13i	0.00499341	−	0.00573481i
$371$	−3.90541e15			−1.49769
$372$	1.38360e14	−	1.38360e14i	0.0522101	−	0.0522101i
$373$	−6.52782e13	−	6.52782e13i	−0.0242390	−	0.0242390i	0.694883	−	0.719122i	$-0.255456\pi$
$373$	−6.52782e13	−	6.52782e13i	−0.0242390	−	0.0242390i	−0.719122	+	0.694883i	$0.755456\pi$
$374$			8.74268e14i			0.319459i
$375$	1.07422e15	−	2.25588e14i	0.386282	−	0.0811202i
$376$	6.00965e14			0.212678
$377$	−1.89642e15	+	1.89642e15i	−0.660522	+	0.660522i
$378$	−8.74840e14	−	8.74840e14i	−0.299901	−	0.299901i
$379$			1.43671e15i			0.484769i	0.970180	+	0.242385i	$0.0779296\pi$
$379$			1.43671e15i			0.484769i	−0.970180	+	0.242385i	$0.922070\pi$
$380$	−1.02093e15	−	8.88946e14i	−0.339075	−	0.295239i
$381$	−2.83086e14			−0.0925485
$382$	−1.60363e15	+	1.60363e15i	−0.516089	+	0.516089i
$383$	3.91095e15	+	3.91095e15i	1.23905	+	1.23905i	0.960389	+	0.278663i	$0.0898911\pi$
$383$	3.91095e15	+	3.91095e15i	1.23905	+	1.23905i	0.278663	+	0.960389i	$0.410109\pi$
$384$			1.11856e14i			0.0348876i
$385$	1.18728e15	−	8.20508e13i	0.364578	−	0.0251952i
$386$	−2.94715e15			−0.891003
$387$	−3.52166e13	+	3.52166e13i	−0.0104829	+	0.0104829i
$388$	1.77838e15	+	1.77838e15i	0.521237	+	0.521237i
$389$			8.44085e14i			0.243606i	0.992554	+	0.121803i	$0.0388677\pi$
$389$			8.44085e14i			0.243606i	−0.992554	+	0.121803i	$0.961132\pi$
$390$	7.28042e13	+	1.05349e15i	0.0206904	+	0.299393i
$391$	6.81364e15			1.90686
$392$	2.91215e14	−	2.91215e14i	0.0802597	−	0.0802597i
$393$	6.01406e14	+	6.01406e14i	0.163235	+	0.163235i
$394$		−	8.65441e14i		−	0.231345i
$395$	−4.58837e15	+	5.26964e15i	−1.20803	+	1.38739i
$396$	7.21925e14			0.187206
$397$	2.84469e15	−	2.84469e15i	0.726595	−	0.726595i	−0.243345	−	0.969940i	$-0.578245\pi$
$397$	2.84469e15	−	2.84469e15i	0.726595	−	0.726595i	0.969940	+	0.243345i	$0.0782446\pi$
$398$	1.12669e15	+	1.12669e15i	0.283470	+	0.283470i
$399$			1.18002e15i			0.292450i
$400$	−1.40860e14	−	1.01427e15i	−0.0343897	−	0.247623i
$401$	8.64127e14			0.207832			0.103916	−	0.994586i	$-0.466863\pi$
$401$	8.64127e14			0.207832			0.103916	+	0.994586i	$0.466863\pi$
$402$	−7.60111e14	+	7.60111e14i	−0.180103	+	0.180103i
$403$	−1.21858e15	−	1.21858e15i	−0.284462	−	0.284462i
$404$		−	2.12519e15i		−	0.488775i
$405$	1.85341e15	+	1.61380e15i	0.419992	+	0.365694i
$406$	−2.26700e15			−0.506168
$407$	1.53291e13	−	1.53291e13i	0.00337248	−	0.00337248i
$408$	−4.63665e14	−	4.63665e14i	−0.100518	−	0.100518i
$409$			1.37960e14i			0.0294723i	0.999891	+	0.0147361i	$0.00469082\pi$
$409$			1.37960e14i			0.0294723i	−0.999891	+	0.0147361i	$0.995309\pi$
$410$	−1.77584e15	+	1.22724e14i	−0.373852	+	0.0258361i
$411$	−1.02658e15			−0.212981
$412$	6.71534e14	−	6.71534e14i	0.137305	−	0.137305i
$413$	−4.12517e15	−	4.12517e15i	−0.831269	−	0.831269i
$414$		−	5.62634e15i		−	1.11744i
$415$	8.31651e13	+	1.20341e15i	0.0162799	+	0.235572i
$416$	9.85144e14			0.190082
$417$	−8.02650e14	+	8.02650e14i	−0.152655	+	0.152655i
$418$	−1.06361e15	−	1.06361e15i	−0.199401	−	0.199401i
$419$		−	8.73810e15i		−	1.61485i	−0.589968	−	0.807426i	$-0.700860\pi$
$419$		−	8.73810e15i		−	1.61485i	0.589968	−	0.807426i	$-0.299140\pi$
$420$	−5.86157e14	+	6.73187e14i	−0.106787	+	0.122642i
$421$	2.26175e15			0.406211			0.203105	−	0.979157i	$-0.434897\pi$
$421$	2.26175e15			0.406211			0.203105	+	0.979157i	$0.434897\pi$
$422$	−3.88786e15	+	3.88786e15i	−0.688392	+	0.688392i
$423$	2.05704e15	+	2.05704e15i	0.359088	+	0.359088i
$424$			3.73379e15i			0.642621i
$425$	4.78824e15	+	3.62045e15i	0.812535	+	0.614368i
$426$	3.24048e15			0.542190
$427$	5.37358e15	−	5.37358e15i	0.886536	−	0.886536i
$428$	−2.59248e15	−	2.59248e15i	−0.421748	−	0.421748i
$429$			1.17338e15i			0.188232i
$430$	5.91992e13	+	5.15459e13i	0.00936495	+	0.00815423i
$431$	−4.07525e15			−0.635756			−0.317878	−	0.948132i	$-0.602970\pi$
$431$	−4.07525e15			−0.635756			−0.317878	+	0.948132i	$0.602970\pi$
$432$	−8.36397e14	+	8.36397e14i	−0.128680	+	0.128680i
$433$	−7.99291e15	−	7.99291e15i	−1.21277	−	1.21277i	−0.970113	−	0.242654i	$-0.921982\pi$
$433$	−7.99291e15	−	7.99291e15i	−1.21277	−	1.21277i	−0.242654	−	0.970113i	$-0.578018\pi$
$434$		−	1.45670e15i		−	0.217987i
$435$	−2.31774e15	+	1.60174e14i	−0.342081	+	0.0236405i
$436$	5.61386e15			0.817227
$437$	−8.28931e15	+	8.28931e15i	−1.19023	+	1.19023i
$438$	8.97937e14	+	8.97937e14i	0.127175	+	0.127175i
$439$		−	8.25110e14i		−	0.115272i	−0.998338	−	0.0576361i	$-0.981644\pi$
$439$		−	8.25110e14i		−	0.115272i	0.998338	−	0.0576361i	$-0.0183563\pi$
$440$	−7.84453e13	−	1.13511e15i	−0.0108106	−	0.156431i
$441$	1.99360e15			0.271023
$442$	−4.08363e15	+	4.08363e15i	−0.547662	+	0.547662i
$443$	−5.05104e15	−	5.05104e15i	−0.668281	−	0.668281i	0.289037	−	0.957318i	$-0.406665\pi$
$443$	−5.05104e15	−	5.05104e15i	−0.668281	−	0.668281i	−0.957318	+	0.289037i	$0.906665\pi$
$444$			1.62595e13i			0.00212231i
$445$	−1.73352e15	+	1.99091e15i	−0.223238	+	0.256384i
$446$	9.00111e15			1.14363
$447$	3.82617e15	−	3.82617e15i	0.479644	−	0.479644i
$448$	5.88824e14	+	5.88824e14i	0.0728312	+	0.0728312i
$449$			1.08785e16i			1.32767i	0.747877	+	0.663837i	$0.231073\pi$
$449$			1.08785e16i			1.32767i	−0.747877	+	0.663837i	$0.768927\pi$
$450$	2.98957e15	−	3.95387e15i	0.360026	−	0.476154i
$451$	−1.97793e15			−0.235045
$452$	3.65561e15	−	3.65561e15i	0.428677	−	0.428677i
$453$	3.89977e13	+	3.89977e13i	0.00451284	+	0.00451284i
$454$			1.80815e15i			0.206490i
$455$	5.92895e15	+	5.16245e15i	0.668204	+	0.581818i
$456$	1.12817e15			0.125483
$457$	−1.95190e15	+	1.95190e15i	−0.214269	+	0.214269i	−0.806078	−	0.591809i	$-0.798414\pi$
$457$	−1.95190e15	+	1.95190e15i	−0.214269	+	0.214269i	0.591809	+	0.806078i	$0.298414\pi$
$458$	7.30104e15	+	7.30104e15i	0.791028	+	0.791028i
$459$		−	6.93408e15i		−	0.741503i
$460$	−8.84654e15	+	6.11366e14i	−0.933741	+	0.0645289i
$461$	6.05616e15			0.630946			0.315473	−	0.948935i	$-0.397837\pi$
$461$	6.05616e15			0.630946			0.315473	+	0.948935i	$0.397837\pi$
$462$	−7.01330e14	+	7.01330e14i	−0.0721225	+	0.0721225i
$463$	7.99784e14	+	7.99784e14i	0.0811871	+	0.0811871i	0.746534	−	0.665347i	$-0.231716\pi$
$463$	7.99784e14	+	7.99784e14i	0.0811871	+	0.0811871i	−0.665347	+	0.746534i	$0.731716\pi$
$464$			2.16738e15i			0.217184i
$465$	−1.02923e14	−	1.48930e15i	−0.0101811	−	0.147321i
$466$	3.08620e15			0.301376
$467$	5.36209e15	−	5.36209e15i	0.516932	−	0.516932i	−0.399710	−	0.916642i	$-0.630889\pi$
$467$	5.36209e15	−	5.36209e15i	0.516932	−	0.516932i	0.916642	+	0.399710i	$0.130889\pi$
$468$	3.37204e15	+	3.37204e15i	0.320936	+	0.320936i
$469$			8.00266e15i			0.751965i
$470$	3.01085e15	−	3.45789e15i	0.279320	−	0.320793i
$471$	−1.04612e15			−0.0958200
$472$	−3.94390e15	+	3.94390e15i	−0.356676	+	0.356676i
$473$	6.16741e13	+	6.16741e13i	0.00550726	+	0.00550726i
$474$		−	5.82314e15i		−	0.513437i
$475$	−1.02298e16	+	1.42071e15i	−0.890647	+	0.123692i
$476$	−4.88160e15			−0.419682
$477$	−1.27804e16	+	1.27804e16i	−1.08501	+	1.08501i
$478$	−1.91392e15	−	1.91392e15i	−0.160456	−	0.160456i
$479$		−	4.35431e15i		−	0.360501i	−0.983621	−	0.180251i	$-0.942309\pi$
$479$		−	4.35431e15i		−	0.360501i	0.983621	−	0.180251i	$-0.0576909\pi$
$480$	6.43606e14	+	5.60400e14i	0.0526226	+	0.0458195i
$481$	1.43202e14			0.0115632
$482$	−1.35242e15	+	1.35242e15i	−0.107852	+	0.107852i
$483$	5.46584e15	+	5.46584e15i	0.430501	+	0.430501i
$484$			5.16321e15i			0.401650i
$485$	1.91424e16	−	1.32289e15i	1.47077	−	0.101642i
$486$	−8.83055e15			−0.670147
$487$	1.09678e16	−	1.09678e16i	0.822139	−	0.822139i	−0.164275	−	0.986415i	$-0.552529\pi$
$487$	1.09678e16	−	1.09678e16i	0.822139	−	0.822139i	0.986415	+	0.164275i	$0.0525286\pi$
$488$	−5.13745e15	−	5.13745e15i	−0.380390	−	0.380390i
$489$		−	7.68297e13i		−	0.00561922i
$490$	−2.16627e14	−	3.13462e15i	−0.0156508	−	0.226469i
$491$	−2.45873e16			−1.75478			−0.877388	−	0.479781i	$-0.840716\pi$
$491$	−2.45873e16			−1.75478			−0.877388	+	0.479781i	$0.840716\pi$
$492$	1.04899e15	−	1.04899e15i	0.0739571	−	0.0739571i
$493$	−8.98424e15	−	8.98424e15i	−0.625749	−	0.625749i
$494$		−	9.93609e15i		−	0.683682i
$495$	3.61686e15	−	4.15388e15i	0.245867	−	0.282373i
$496$	−1.39269e15			−0.0935327
$497$	1.70583e16	−	1.70583e16i	1.13187	−	1.13187i
$498$	−7.10854e14	−	7.10854e14i	−0.0466020	−	0.0466020i
$499$		−	3.44743e15i		−	0.223302i	−0.993747	−	0.111651i	$-0.964386\pi$
$499$		−	3.44743e15i		−	0.223302i	0.993747	−	0.111651i	$-0.0356139\pi$
$500$	−6.54169e15	−	4.27100e15i	−0.418668	−	0.273344i
$501$	−9.09817e15			−0.575344
$502$	4.52866e15	−	4.52866e15i	0.282974	−	0.282974i
$503$	1.89606e16	+	1.89606e16i	1.17070	+	1.17070i	0.982043	+	0.188655i	$0.0604127\pi$
$503$	1.89606e16	+	1.89606e16i	1.17070	+	1.17070i	0.188655	+	0.982043i	$0.439587\pi$
$504$			4.03097e15i			0.245938i
$505$	−1.22281e16	−	1.06472e16i	−0.737244	−	0.641932i
$506$	−9.85329e15			−0.587054
$507$	−7.40400e14	+	7.40400e14i	−0.0435932	+	0.0435932i
$508$	1.42472e15	+	1.42472e15i	0.0828989	+	0.0828989i
$509$			1.85414e15i			0.106619i	0.998578	+	0.0533095i	$0.0169770\pi$
$509$			1.85414e15i			0.106619i	−0.998578	+	0.0533095i	$0.983023\pi$
$510$	−4.99085e15	+	3.44908e14i	−0.283631	+	0.0196012i
$511$	9.45373e15			0.530980
$512$	5.62950e14	−	5.62950e14i	0.0312500	−	0.0312500i
$513$	8.43584e15	+	8.43584e15i	0.462833	+	0.462833i
$514$			7.03754e15i			0.381630i
$515$	−4.99536e14	−	7.22834e15i	−0.0267746	−	0.387432i
$516$	−6.54173e13			−0.00346572
$517$	3.60245e15	−	3.60245e15i	0.188649	−	0.188649i
$518$	8.55920e13	+	8.55920e13i	0.00443052	+	0.00443052i
$519$		−	3.01706e15i		−	0.154376i
$520$	4.93560e15	−	5.66842e15i	0.249643	−	0.286709i
$521$	−4.51833e15			−0.225918			−0.112959	−	0.993600i	$-0.536033\pi$
$521$	−4.51833e15			−0.225918			−0.112959	+	0.993600i	$0.536033\pi$
$522$	−7.41872e15	+	7.41872e15i	−0.366696	+	0.366696i
$523$	1.91151e16	+	1.91151e16i	0.934042	+	0.934042i	0.997955	−	0.0639131i	$-0.0203580\pi$
$523$	1.91151e16	+	1.91151e16i	0.934042	+	0.934042i	−0.0639131	+	0.997955i	$0.520358\pi$
$524$		−	6.05354e15i		−	0.292430i
$525$	9.36791e14	+	6.74537e15i	0.0447391	+	0.322144i
$526$	−5.15684e15			−0.243483
$527$	5.77298e15	−	5.77298e15i	0.269486	−	0.269486i
$528$	6.70512e14	+	6.70512e14i	0.0309459	+	0.0309459i
$529$			5.48773e16i			2.50414i
$530$	2.14839e16	+	1.87064e16i	0.969298	+	0.843985i
$531$	−2.69991e16			−1.20443
$532$	5.93884e15	−	5.93884e15i	0.261958	−	0.261958i
$533$	−9.23873e15	−	9.23873e15i	−0.402948	−	0.402948i
$534$		−	2.20002e15i		−	0.0948811i
$535$	−2.79053e16	+	1.92848e15i	−1.19005	+	0.0822416i
$536$	7.65101e15			0.322649
$537$	−5.79553e15	+	5.79553e15i	−0.241684	+	0.241684i
$538$	4.28742e15	+	4.28742e15i	0.176808	+	0.176808i
$539$		−	3.49134e15i		−	0.142384i
$540$	6.22173e14	+	9.00291e15i	0.0250928	+	0.363095i
$541$	2.89742e16			1.15565			0.577827	−	0.816160i	$-0.303901\pi$
$541$	2.89742e16			1.15565			0.577827	+	0.816160i	$0.303901\pi$
$542$	7.74498e15	−	7.74498e15i	0.305509	−	0.305509i
$543$	8.39889e15	+	8.39889e15i	0.327660	+	0.327660i
$544$			4.66709e15i			0.180075i
$545$	2.81256e16	−	3.23016e16i	1.07330	−	1.23266i
$546$	−6.55170e15			−0.247285
$547$	−2.85240e16	+	2.85240e16i	−1.06485	+	1.06485i	−0.0670995	+	0.997746i	$0.521374\pi$
$547$	−2.85240e16	+	2.85240e16i	−1.06485	+	1.06485i	−0.997746	+	0.0670995i	$0.978626\pi$
$548$	5.16659e15	+	5.16659e15i	0.190775	+	0.190775i
$549$		−	3.51699e16i		−	1.28451i
$550$	−6.92433e15	−	5.23557e15i	−0.250151	−	0.189142i
$551$	2.18600e16			0.781162
$552$	5.22566e15	−	5.22566e15i	0.184717	−	0.184717i
$553$	−3.06538e16	−	3.06538e16i	−1.07185	−	1.07185i
$554$			2.53657e16i			0.877382i
$555$	9.35552e13	+	8.14602e13i	0.00320118	+	0.00278733i
$556$	8.07919e15			0.273476
$557$	−1.01266e16	+	1.01266e16i	−0.339104	+	0.339104i	−0.856030	−	0.516926i	$-0.827076\pi$
$557$	−1.01266e16	+	1.01266e16i	−0.339104	+	0.339104i	0.516926	+	0.856030i	$0.327076\pi$
$558$	−4.76702e15	−	4.76702e15i	−0.157922	−	0.157922i
$559$			5.76148e14i			0.0188827i
$560$	6.33806e15	−	4.38010e14i	0.205508	−	0.0142022i
$561$	−5.55882e15			−0.178322
$562$	1.82245e16	−	1.82245e16i	0.578413	−	0.578413i
$563$	−2.12797e16	−	2.12797e16i	−0.668212	−	0.668212i	0.289090	−	0.957302i	$-0.406647\pi$
$563$	−2.12797e16	−	2.12797e16i	−0.668212	−	0.668212i	−0.957302	+	0.289090i	$0.906647\pi$
$564$			3.82109e15i			0.118717i
$565$	−2.71931e15	−	3.93487e16i	−0.0835927	−	1.20960i
$566$	−1.84107e16			−0.559978
$567$	−1.07814e16	+	1.07814e16i	−0.324471	+	0.324471i
$568$	−1.63087e16	−	1.63087e16i	−0.485658	−	0.485658i
$569$		−	4.12296e16i		−	1.21489i	−0.794363	−	0.607444i	$-0.792195\pi$
$569$		−	4.12296e16i		−	1.21489i	0.794363	−	0.607444i	$-0.207805\pi$
$570$	5.65215e15	−	6.49136e15i	0.164803	−	0.189272i
$571$	2.81400e16			0.811910			0.405955	−	0.913893i	$-0.366939\pi$
$571$	2.81400e16			0.811910			0.405955	+	0.913893i	$0.366939\pi$
$572$	5.90539e15	−	5.90539e15i	0.168606	−	0.168606i
$573$	−1.01963e16	−	1.01963e16i	−0.288081	−	0.288081i
$574$		−	1.10440e16i		−	0.308785i
$575$	−4.08036e16	+	5.39650e16i	−1.12899	+	1.49316i
$576$	3.85384e15			0.105526
$577$	−2.08808e16	+	2.08808e16i	−0.565839	+	0.565839i	−0.930960	−	0.365121i	$-0.881028\pi$
$577$	−2.08808e16	+	2.08808e16i	−0.565839	+	0.565839i	0.365121	+	0.930960i	$0.381028\pi$
$578$	−7.02138e14	−	7.02138e14i	−0.0188302	−	0.0188302i
$579$		−	1.87388e16i		−	0.497359i
$580$	1.24709e16	+	1.08586e16i	0.327589	+	0.285238i
$581$	−7.48408e15			−0.194572
$582$	−1.13074e16	+	1.13074e16i	−0.290955	+	0.290955i
$583$	2.23820e16	+	2.23820e16i	0.570017	+	0.570017i
$584$		−	9.03831e15i		−	0.227830i
$585$	3.62964e16	−	2.50837e15i	0.905584	−	0.0625830i
$586$	2.22146e16			0.548596
$587$	−1.37786e15	+	1.37786e15i	−0.0336804	+	0.0336804i	−0.723746	−	0.690066i	$-0.757581\pi$
$587$	−1.37786e15	+	1.37786e15i	−0.0336804	+	0.0336804i	0.690066	+	0.723746i	$0.257581\pi$
$588$	1.85162e15	+	1.85162e15i	0.0448010	+	0.0448010i
$589$			1.40465e16i			0.336417i
$590$	2.93376e15	+	4.24518e16i	0.0695525	+	1.00643i
$591$	5.50270e15			0.129137
$592$	8.18309e13	−	8.18309e13i	0.00190102	−	0.00190102i
$593$	9.41574e15	+	9.41574e15i	0.216534	+	0.216534i	0.807036	−	0.590502i	$-0.201070\pi$
$593$	9.41574e15	+	9.41574e15i	0.216534	+	0.216534i	−0.590502	+	0.807036i	$0.701070\pi$
$594$			1.00275e16i			0.228282i
$595$	−2.44569e16	+	2.80882e16i	−0.551188	+	0.633027i
$596$	−3.85129e16			−0.859268
$597$	−7.16380e15	+	7.16380e15i	−0.158233	+	0.158233i
$598$	−4.60238e16	−	4.60238e16i	−1.00641	−	1.00641i
$599$		−	1.00763e16i		−	0.218142i	−0.994034	−	0.109071i	$-0.965212\pi$
$599$		−	1.00763e16i		−	0.218142i	0.994034	−	0.109071i	$-0.0347877\pi$
$600$	6.44896e15	−	8.95627e14i	0.138224	−	0.0191964i
$601$	6.46797e16			1.37253			0.686264	−	0.727352i	$-0.259249\pi$
$601$	6.46797e16			1.37253			0.686264	+	0.727352i	$0.259249\pi$
$602$	−3.44366e14	+	3.44366e14i	−0.00723504	+	0.00723504i
$603$	2.61886e16	+	2.61886e16i	0.544764	+	0.544764i
$604$		−	3.92537e14i		−	0.00808461i
$605$	2.97086e16	+	2.58678e16i	0.605828	+	0.527506i
$606$	1.35125e16			0.272835
$607$	4.37323e16	−	4.37323e16i	0.874321	−	0.874321i	−0.118619	−	0.992940i	$-0.537847\pi$
$607$	4.37323e16	−	4.37323e16i	0.874321	−	0.874321i	0.992940	+	0.118619i	$0.0378468\pi$
$608$	−5.67787e15	−	5.67787e15i	−0.112399	−	0.112399i
$609$		−	1.44142e16i		−	0.282544i
$610$	−5.52991e16	+	3.82161e15i	−1.07334	+	0.0741767i
$611$	3.36535e16			0.646818
$612$	−1.59749e16	+	1.59749e16i	−0.304040	+	0.304040i
$613$	1.62804e15	+	1.62804e15i	0.0306833	+	0.0306833i	0.722282	−	0.691599i	$-0.243093\pi$
$613$	1.62804e15	+	1.62804e15i	0.0306833	+	0.0306833i	−0.691599	+	0.722282i	$0.743093\pi$
$614$			3.96314e15i			0.0739655i
$615$	−7.80313e14	−	1.12912e16i	−0.0144218	−	0.208685i
$616$	7.05934e15			0.129205
$617$	−4.02205e16	+	4.02205e16i	−0.729015	+	0.729015i	−0.970424	−	0.241409i	$-0.922391\pi$
$617$	−4.02205e16	+	4.02205e16i	−0.729015	+	0.729015i	0.241409	+	0.970424i	$0.422391\pi$
$618$	4.26979e15	+	4.26979e15i	0.0766435	+	0.0766435i
$619$			3.97547e16i			0.706715i	0.935488	+	0.353357i	$0.114960\pi$
$619$			3.97547e16i			0.706715i	−0.935488	+	0.353357i	$0.885040\pi$
$620$	−6.97740e15	+	8.01338e15i	−0.122841	+	0.141080i
$621$	7.81494e16			1.36262
$622$	5.51001e16	−	5.51001e16i	0.951503	−	0.951503i
$623$	−1.15812e16	−	1.15812e16i	−0.198073	−	0.198073i
$624$			6.26380e15i			0.106104i
$625$	−5.73489e16	+	1.62424e16i	−0.962155	+	0.272502i
$626$	−1.56966e16			−0.260831
$627$	6.76274e15	−	6.76274e15i	0.111306	−	0.111306i
$628$	5.26494e15	+	5.26494e15i	0.0858293	+	0.0858293i
$629$			6.78412e14i			0.0109544i
$630$	2.31938e16	+	2.01952e16i	0.370961	+	0.323002i
$631$	−9.05043e16			−1.43382			−0.716908	−	0.697168i	$-0.754443\pi$
$631$	−9.05043e16			−1.43382			−0.716908	+	0.697168i	$0.754443\pi$
$632$	−2.93068e16	+	2.93068e16i	−0.459903	+	0.459903i
$633$	−2.47200e16	−	2.47200e16i	−0.384261	−	0.384261i
$634$		−	1.14998e16i		−	0.177074i
$635$	1.53356e16	−	1.05981e15i	0.233915	−	0.0161654i
$636$	−2.37404e16			−0.358712
$637$	1.63077e16	−	1.63077e16i	0.244094	−	0.244094i
$638$	1.29922e16	+	1.29922e16i	0.192646	+	0.192646i
$639$		−	1.11646e17i		−	1.63998i
$640$	−4.18763e14	−	6.05955e15i	−0.00609380	−	0.0881780i
$641$	−4.37505e16			−0.630717			−0.315359	−	0.948973i	$-0.602125\pi$
$641$	−4.37505e16			−0.630717			−0.315359	+	0.948973i	$0.602125\pi$
$642$	1.64837e16	−	1.64837e16i	0.235420	−	0.235420i
$643$	2.36064e16	+	2.36064e16i	0.334014	+	0.334014i	0.854109	−	0.520095i	$-0.174103\pi$
$643$	2.36064e16	+	2.36064e16i	0.334014	+	0.334014i	−0.520095	+	0.854109i	$0.674103\pi$
$644$		−	5.50172e16i		−	0.771229i
$645$	−3.27742e14	+	3.76404e14i	−0.00455170	+	0.00522752i
$646$	4.70719e16			0.647689
$647$	−4.82320e16	+	4.82320e16i	−0.657522	+	0.657522i	−0.954793	−	0.297271i	$-0.903923\pi$
$647$	−4.82320e16	+	4.82320e16i	−0.657522	+	0.657522i	0.297271	+	0.954793i	$0.403923\pi$
$648$	1.03076e16	+	1.03076e16i	0.139222	+	0.139222i
$649$			4.72830e16i			0.632756i
$650$	−7.88804e15	−	5.67978e16i	−0.104590	−	0.753098i
$651$	9.26206e15			0.121681
$652$	−3.86671e14	+	3.86671e14i	−0.00503333	+	0.00503333i
$653$	5.21477e15	+	5.21477e15i	0.0672599	+	0.0672599i	0.739937	−	0.672677i	$-0.234855\pi$
$653$	5.21477e15	+	5.21477e15i	0.0672599	+	0.0672599i	−0.672677	+	0.739937i	$0.734855\pi$
$654$			3.56944e16i			0.456177i
$655$	−3.48315e16	−	3.03284e16i	−0.441087	−	0.384062i
$656$	−1.05587e16			−0.132492
$657$	3.09372e16	−	3.09372e16i	0.384670	−	0.384670i
$658$	2.01148e16	+	2.01148e16i	0.247833	+	0.247833i
$659$		−	7.89956e16i		−	0.964474i	−0.876041	−	0.482237i	$-0.839824\pi$
$659$		−	7.89956e16i		−	0.964474i	0.876041	−	0.482237i	$-0.160176\pi$
$660$	7.21734e15	−	4.98776e14i	0.0873200	−	0.00603450i
$661$	−9.80127e16			−1.17510			−0.587548	−	0.809189i	$-0.699907\pi$
$661$	−9.80127e16			−1.17510			−0.587548	+	0.809189i	$0.699907\pi$
$662$	−4.43066e16	+	4.43066e16i	−0.526406	+	0.526406i
$663$	−2.59648e16	−	2.59648e16i	−0.305706	−	0.305706i
$664$			7.15521e15i			0.0834860i
$665$	−4.41774e15	−	6.39251e16i	−0.0510822	−	0.739166i
$666$	5.60197e14			0.00641942
$667$	1.01255e17	−	1.01255e17i	1.14991	−	1.14991i
$668$	4.57895e16	+	4.57895e16i	0.515356	+	0.515356i
$669$			5.72314e16i			0.638377i
$670$	3.83317e16	−	4.40231e16i	0.423750	−	0.486667i
$671$	−6.15923e16			−0.674825
$672$	−3.74390e15	+	3.74390e15i	−0.0406545	+	0.0406545i
$673$	−4.09122e16	−	4.09122e16i	−0.440314	−	0.440314i	0.451804	−	0.892117i	$-0.350781\pi$
$673$	−4.09122e16	−	4.09122e16i	−0.440314	−	0.440314i	−0.892117	+	0.451804i	$0.850781\pi$
$674$		−	9.72506e14i		−	0.0103737i
$675$	5.49189e16	+	4.15249e16i	0.580630	+	0.439022i
$676$	7.45261e15			0.0780959
$677$	−3.72540e16	+	3.72540e16i	−0.386937	+	0.386937i	−0.873594	−	0.486656i	$-0.838216\pi$
$677$	−3.72540e16	+	3.72540e16i	−0.386937	+	0.386937i	0.486656	+	0.873594i	$0.338216\pi$
$678$	2.32433e16	+	2.32433e16i	0.239288	+	0.239288i
$679$			1.19048e17i			1.21479i
$680$	2.68539e16	+	2.33822e16i	0.271616	+	0.236501i
$681$	−1.14967e16			−0.115263
$682$	−8.34838e15	+	8.34838e15i	−0.0829652	+	0.0829652i
$683$	2.20949e16	+	2.20949e16i	0.217654	+	0.217654i	0.807509	−	0.589855i	$-0.200815\pi$
$683$	2.20949e16	+	2.20949e16i	0.217654	+	0.217654i	−0.589855	+	0.807509i	$0.700815\pi$
$684$		−	3.88695e16i		−	0.379553i
$685$	5.56127e16	−	3.84328e15i	0.538308	−	0.0372014i
$686$	8.02172e16			0.769703
$687$	−4.64219e16	+	4.64219e16i	−0.441553	+	0.441553i
$688$	3.29233e14	+	3.29233e14i	0.00310437	+	0.00310437i
$689$			2.09089e17i			1.95441i
$690$	−3.88722e15	−	5.62486e16i	−0.0360201	−	0.521215i
$691$	1.43945e17			1.32229			0.661145	−	0.750258i	$-0.270071\pi$
$691$	1.43945e17			1.32229			0.661145	+	0.750258i	$0.270071\pi$
$692$	−1.51843e16	+	1.51843e16i	−0.138280	+	0.138280i
$693$	2.41634e16	+	2.41634e16i	0.218152	+	0.218152i
$694$			1.04050e17i			0.931291i
$695$	4.04769e16	−	4.64868e16i	0.359169	−	0.412497i
$696$	−1.37808e16			−0.121232
$697$	4.37682e16	−	4.37682e16i	0.381735	−	0.381735i
$698$	−4.01254e15	−	4.01254e15i	−0.0346966	−	0.0346966i
$699$			1.96229e16i			0.168228i
$700$	2.92335e16	−	3.86630e16i	0.248481	−	0.328630i
$701$	−1.71086e17			−1.44180			−0.720901	−	0.693038i	$-0.756272\pi$
$701$	−1.71086e17			−1.44180			−0.720901	+	0.693038i	$0.756272\pi$
$702$	−4.68374e16	+	4.68374e16i	−0.391354	+	0.391354i
$703$	−8.25341e14	−	8.25341e14i	−0.00683756	−	0.00683756i
$704$		−	6.74914e15i		−	0.0554386i
$705$	2.19862e16	+	1.91438e16i	0.179067	+	0.155917i
$706$	−5.96895e16			−0.482026
$707$	7.11317e16	−	7.11317e16i	0.569570	−	0.569570i
$708$	−2.50764e16	−	2.50764e16i	−0.199097	−	0.199097i
$709$			5.67654e16i			0.446896i	0.974716	+	0.223448i	$0.0717312\pi$
$709$			5.67654e16i			0.446896i	−0.974716	+	0.223448i	$0.928269\pi$
$710$	−1.75546e17	+	1.21316e16i	−1.37038	+	0.0947041i
$711$	−2.00628e17			−1.55301
$712$	−1.10723e16	+	1.10723e16i	−0.0849882	+	0.0849882i
$713$	6.50634e16	+	6.50634e16i	0.495222	+	0.495222i
$714$		−	3.10385e16i		−	0.234267i
$715$	−4.39286e15	−	6.35651e16i	−0.0328784	−	0.475754i
$716$	5.83357e16			0.432969
$717$	1.21692e16	−	1.21692e16i	0.0895666	−	0.0895666i
$718$	−9.19019e15	−	9.19019e15i	−0.0670776	−	0.0670776i
$719$		−	1.55044e17i		−	1.12223i	−0.827738	−	0.561115i	$-0.810373\pi$
$719$		−	1.55044e17i		−	1.12223i	0.827738	−	0.561115i	$-0.189627\pi$
$720$	1.93078e16	−	2.21746e16i	0.138592	−	0.159170i
$721$	4.49535e16			0.320002
$722$	1.35595e16	−	1.35595e16i	0.0957240	−	0.0957240i
$723$	−8.59905e15	−	8.59905e15i	−0.0602034	−	0.0602034i
$724$		−	8.45403e16i		−	0.586992i
$725$	1.24959e17	−	1.73542e16i	0.860477	−	0.119502i
$726$	−3.28290e16			−0.224201
$727$	1.62218e17	−	1.62218e17i	1.09873	−	1.09873i	0.104174	−	0.994559i	$-0.466780\pi$
$727$	1.62218e17	−	1.62218e17i	1.09873	−	1.09873i	0.994559	−	0.104174i	$-0.0332199\pi$
$728$	3.29736e16	+	3.29736e16i	0.221502	+	0.221502i
$729$			2.74391e16i			0.182812i
$730$	−5.20055e16	−	4.52822e16i	−0.343647	−	0.299220i
$731$	−2.72948e15			−0.0178886
$732$	3.26653e16	−	3.26653e16i	0.212334	−	0.212334i
$733$	−8.73985e16	−	8.73985e16i	−0.563482	−	0.563482i	0.366813	−	0.930295i	$-0.380449\pi$
$733$	−8.73985e16	−	8.73985e16i	−0.563482	−	0.563482i	−0.930295	+	0.366813i	$0.880449\pi$
$734$		−	1.22134e17i		−	0.781016i
$735$	1.99307e16	−	1.37737e15i	0.126415	−	0.00873628i
$736$	−5.25996e16			−0.330915
$737$	4.58635e16	−	4.58635e16i	0.286195	−	0.286195i
$738$	−3.61415e16	−	3.61415e16i	−0.223701	−	0.223701i
$739$			1.29629e17i			0.795855i	0.917417	+	0.397928i	$0.130271\pi$
$739$			1.29629e17i			0.795855i	−0.917417	+	0.397928i	$0.869729\pi$
$740$	−6.08718e13	−	8.80822e14i	−0.000370703	−	0.00536411i
$741$	6.31763e16			0.381632
$742$	−1.24973e17	+	1.24973e17i	−0.748846	+	0.748846i
$743$	−9.99900e16	−	9.99900e16i	−0.594324	−	0.594324i	0.344472	−	0.938797i	$-0.388058\pi$
$743$	−9.99900e16	−	9.99900e16i	−0.594324	−	0.594324i	−0.938797	+	0.344472i	$0.888058\pi$
$744$		−	8.85507e15i		−	0.0522101i
$745$	−1.92951e17	+	2.21599e17i	−1.12852	+	1.29608i
$746$	−4.17781e15			−0.0242390
$747$	−2.44915e16	+	2.44915e16i	−0.140959	+	0.140959i
$748$	2.79766e16	+	2.79766e16i	0.159729	+	0.159729i
$749$		−	1.73545e17i		−	0.982925i
$750$	2.71561e16	−	4.15938e16i	0.152581	−	0.233701i
$751$	−4.32967e16			−0.241332			−0.120666	−	0.992693i	$-0.538503\pi$
$751$	−4.32967e16			−0.241332			−0.120666	+	0.992693i	$0.538503\pi$
$752$	1.92309e16	−	1.92309e16i	0.106339	−	0.106339i
$753$	2.87944e16	+	2.87944e16i	0.157957	+	0.157957i
$754$			1.21371e17i			0.660522i
$755$	−2.25862e15	−	1.96662e15i	−0.0121944	−	0.0106179i
$756$	−5.59897e16			−0.299901
$757$	−8.84373e16	+	8.84373e16i	−0.469959	+	0.469959i	−0.901901	−	0.431942i	$-0.857828\pi$
$757$	−8.84373e16	+	8.84373e16i	−0.469959	+	0.469959i	0.431942	+	0.901901i	$0.357828\pi$
$758$	4.59749e16	+	4.59749e16i	0.242385	+	0.242385i
$759$		−	6.26498e16i		−	0.327694i
$760$	−6.11161e16	+	4.22361e15i	−0.317157	+	0.0219181i
$761$	2.81259e17			1.44810			0.724050	−	0.689748i	$-0.242279\pi$
$761$	2.81259e17			1.44810			0.724050	+	0.689748i	$0.242279\pi$
$762$	−9.05877e15	+	9.05877e15i	−0.0462742	+	0.0462742i
$763$	1.87900e17	+	1.87900e17i	0.952314	+	0.952314i
$764$			1.02632e17i			0.516089i
$765$	1.18833e16	+	1.71953e17i	0.0592883	+	0.857909i
$766$	2.50301e17			1.23905
$767$	−2.20854e17	+	2.20854e17i	−1.08476	+	1.08476i
$768$	3.57938e15	+	3.57938e15i	0.0174438	+	0.0174438i
$769$		−	3.55084e17i		−	1.71701i	−0.512806	−	0.858504i	$-0.671394\pi$
$769$		−	3.55084e17i		−	1.71701i	0.512806	−	0.858504i	$-0.328606\pi$
$770$	3.53675e16	−	4.06187e16i	0.169691	−	0.194887i
$771$	−4.47465e16			−0.213026
$772$	−9.43089e16	+	9.43089e16i	−0.445501	+	0.445501i
$773$	1.08105e17	+	1.08105e17i	0.506723	+	0.506723i	0.913519	−	0.406796i	$-0.133354\pi$
$773$	1.08105e17	+	1.08105e17i	0.506723	+	0.506723i	−0.406796	+	0.913519i	$0.633354\pi$
$774$			2.25386e15i			0.0104829i
$775$	1.11512e16	+	8.02944e16i	0.0514651	+	0.370574i
$776$	1.13817e17			0.521237
$777$	−5.44216e14	+	5.44216e14i	−0.00247312	+	0.00247312i
$778$	2.70107e16	+	2.70107e16i	0.121803	+	0.121803i
$779$			1.06495e17i			0.476544i
$780$	3.60413e16	+	3.13818e16i	0.160041	+	0.139351i
$781$	−1.95524e17			−0.861575
$782$	2.18036e17	−	2.18036e17i	0.953429	−	0.953429i
$783$	−1.03045e17	−	1.03045e17i	−0.447154	−	0.447154i
$784$		−	1.86378e16i		−	0.0802597i
$785$	5.66714e16	−	3.91644e15i	0.242184	−	0.0167369i
$786$	3.84900e16			0.163235
$787$	−4.90592e15	+	4.90592e15i	−0.0206477	+	0.0206477i	−0.717355	−	0.696708i	$-0.754648\pi$
$787$	−4.90592e15	+	4.90592e15i	−0.0206477	+	0.0206477i	0.696708	+	0.717355i	$0.254648\pi$
$788$	−2.76941e16	−	2.76941e16i	−0.115672	−	0.115672i
$789$		−	3.27885e16i		−	0.135913i
$790$	2.18005e16	+	3.15456e17i	0.0896819	+	1.29771i
$791$	2.44712e17			0.999073
$792$	2.31016e16	−	2.31016e16i	0.0936032	−	0.0936032i
$793$	−2.87692e17	−	2.87692e17i	−1.15688	−	1.15688i
$794$		−	1.82060e17i		−	0.726595i
$795$	−1.18940e17	+	1.36600e17i	−0.471114	+	0.541063i
$796$	7.21082e16			0.283470
$797$	6.95974e16	−	6.95974e16i	0.271546	−	0.271546i	−0.558177	−	0.829722i	$-0.688499\pi$
$797$	6.95974e16	−	6.95974e16i	0.271546	−	0.271546i	0.829722	+	0.558177i	$0.188499\pi$
$798$	3.77607e16	+	3.77607e16i	0.146225	+	0.146225i
$799$			1.59432e17i			0.612767i
$800$	−3.69640e16	−	2.79490e16i	−0.141007	−	0.106617i
$801$	−7.57988e16			−0.286990
$802$	2.76521e16	−	2.76521e16i	0.103916	−	0.103916i
$803$	−5.41796e16	−	5.41796e16i	−0.202089	−	0.202089i
$804$			4.86471e16i			0.180103i
$805$	−3.16563e17	−	2.75638e17i	−1.16328	−	1.01289i
$806$	−7.79891e16			−0.284462
$807$	−2.72605e16	+	2.72605e16i	−0.0986946	+	0.0986946i
$808$	−6.80060e16	−	6.80060e16i	−0.244388	−	0.244388i
$809$		−	2.28780e17i		−	0.816069i	−0.912966	−	0.408035i	$-0.866214\pi$
$809$		−	2.28780e17i		−	0.816069i	0.912966	−	0.408035i	$-0.133786\pi$
$810$	1.10950e17	−	7.66756e15i	0.392843	−	0.0271486i
$811$	2.52560e17			0.887644			0.443822	−	0.896115i	$-0.353622\pi$
$811$	2.52560e17			0.887644			0.443822	+	0.896115i	$0.353622\pi$
$812$	−7.25439e16	+	7.25439e16i	−0.253084	+	0.253084i
$813$	4.92446e16	+	4.92446e16i	0.170536	+	0.170536i
$814$		−	9.81061e14i		−	0.00337248i
$815$	2.87634e14	+	4.16209e15i	0.000981508	+	0.0142025i
$816$	−2.96746e16			−0.100518
$817$	3.32062e15	−	3.32062e15i	0.0111657	−	0.0111657i
$818$	4.41472e15	+	4.41472e15i	0.0147361	+	0.0147361i
$819$			2.25730e17i			0.747973i
$820$	−5.28996e16	+	6.07539e16i	−0.174008	+	0.199844i
$821$	3.47697e17			1.13538			0.567691	−	0.823242i	$-0.307837\pi$
$821$	3.47697e17			1.13538			0.567691	+	0.823242i	$0.307837\pi$
$822$	−3.28505e16	+	3.28505e16i	−0.106491	+	0.106491i
$823$	−4.02242e17	−	4.02242e17i	−1.29446	−	1.29446i	−0.932000	−	0.362459i	$-0.881937\pi$
$823$	−4.02242e17	−	4.02242e17i	−1.29446	−	1.29446i	−0.362459	−	0.932000i	$-0.618063\pi$
$824$		−	4.29782e16i		−	0.137305i
$825$	3.32891e16	−	4.40267e16i	0.105579	−	0.139634i
$826$	−2.64011e17			−0.831269
$827$	−1.96375e17	+	1.96375e17i	−0.613837	+	0.613837i	−0.943944	−	0.330107i	$-0.892915\pi$
$827$	−1.96375e17	+	1.96375e17i	−0.613837	+	0.613837i	0.330107	+	0.943944i	$0.392915\pi$
$828$	−1.80043e17	−	1.80043e17i	−0.558720	−	0.558720i
$829$		−	3.14801e17i		−	0.969858i	−0.874553	−	0.484929i	$-0.838845\pi$
$829$		−	3.14801e17i		−	0.969858i	0.874553	−	0.484929i	$-0.161155\pi$
$830$	4.11703e16	+	3.58478e16i	0.125926	+	0.109646i
$831$	−1.61282e17			−0.489756
$832$	3.15246e16	−	3.15246e16i	0.0950408	−	0.0950408i
$833$	7.72574e16	+	7.72574e16i	0.231244	+	0.231244i
$834$			5.13696e16i			0.152655i
$835$	4.92874e17	−	3.40615e16i	1.45418	−	0.100495i
$836$	−6.80713e16			−0.199401
$837$	6.62135e16	−	6.62135e16i	0.192572	−	0.192572i
$838$	−2.79619e17	−	2.79619e17i	−0.807426	−	0.807426i
$839$			5.01061e17i			1.43654i	0.695762	+	0.718272i	$0.255067\pi$
$839$			5.01061e17i			1.43654i	−0.695762	+	0.718272i	$0.744933\pi$
$840$	2.78498e15	+	4.02990e16i	0.00792769	+	0.114715i
$841$	8.67905e16			0.245299
$842$	7.23759e16	−	7.23759e16i	0.203105	−	0.203105i
$843$	1.15876e17	+	1.15876e17i	0.322871	+	0.322871i
$844$			2.48823e17i			0.688392i
$845$	3.73377e16	−	4.28815e16i	0.102567	−	0.117796i
$846$	1.31651e17			0.359088
$847$	−1.72817e17	+	1.72817e17i	−0.468042	+	0.468042i
$848$	1.19481e17	+	1.19481e17i	0.321311	+	0.321311i
$849$		−	1.17060e17i		−	0.312580i
$850$	2.69078e17	−	3.73693e16i	0.713451	−	0.0990835i
$851$	−7.64593e15			−0.0201304
$852$	1.03695e17	−	1.03695e17i	0.271095	−	0.271095i
$853$	4.63599e17	+	4.63599e17i	1.20351	+	1.20351i	0.973093	+	0.230412i	$0.0740075\pi$
$853$	4.63599e17	+	4.63599e17i	1.20351	+	1.20351i	0.230412	+	0.973093i	$0.425993\pi$
$854$		−	3.43909e17i		−	0.886536i
$855$	−2.23651e17	−	1.94737e17i	−0.572498	−	0.498485i
$856$	−1.65919e17			−0.421748
$857$	−2.26223e16	+	2.26223e16i	−0.0571022	+	0.0571022i	−0.735081	−	0.677979i	$-0.762856\pi$
$857$	−2.26223e16	+	2.26223e16i	−0.0571022	+	0.0571022i	0.677979	+	0.735081i	$0.262856\pi$
$858$	3.75480e16	+	3.75480e16i	0.0941159	+	0.0941159i
$859$		−	3.44004e17i		−	0.856258i	−0.903718	−	0.428129i	$-0.859173\pi$
$859$		−	3.44004e17i		−	0.856258i	0.903718	−	0.428129i	$-0.140827\pi$
$860$	3.54384e15	−	2.44908e14i	0.00875959	−	0.000605357i
$861$	7.02209e16			0.172364
$862$	−1.30408e17	+	1.30408e17i	−0.317878	+	0.317878i
$863$	−1.48244e16	−	1.48244e16i	−0.0358849	−	0.0358849i	0.688937	−	0.724822i	$-0.258078\pi$
$863$	−1.48244e16	−	1.48244e16i	−0.0358849	−	0.0358849i	−0.724822	+	0.688937i	$0.758078\pi$
$864$			5.35294e16i			0.128680i
$865$	1.12952e16	+	1.63443e17i	0.0269648	+	0.390184i
$866$	−5.11546e17			−1.21277
$867$	4.46438e15	−	4.46438e15i	0.0105111	−	0.0105111i
$868$	−4.66143e16	−	4.66143e16i	−0.108994	−	0.108994i
$869$			3.51356e17i			0.815885i
$870$	−6.90420e16	+	7.92931e16i	−0.159220	+	0.182861i
$871$	4.28449e17			0.981273
$872$	1.79643e17	−	1.79643e17i	0.408613	−	0.408613i
$873$	3.89582e17	+	3.89582e17i	0.880062	+	0.880062i
$874$			5.30516e17i			1.19023i
$875$	−7.60019e16	−	3.61909e17i	−0.169346	−	0.806401i
$876$	5.74680e16			0.127175
$877$	1.29797e17	−	1.29797e17i	0.285278	−	0.285278i	−0.549932	−	0.835209i	$-0.685346\pi$
$877$	1.29797e17	−	1.29797e17i	0.285278	−	0.285278i	0.835209	+	0.549932i	$0.185346\pi$
$878$	−2.64035e16	−	2.64035e16i	−0.0576361	−	0.0576361i
$879$			1.41246e17i			0.306227i
$880$	−3.88339e16	−	3.38134e16i	−0.0836208	−	0.0728102i
$881$	−4.02812e17			−0.861483			−0.430741	−	0.902475i	$-0.641748\pi$
$881$	−4.02812e17			−0.861483			−0.430741	+	0.902475i	$0.641748\pi$
$882$	6.37951e16	−	6.37951e16i	0.135511	−	0.135511i
$883$	4.93771e17	+	4.93771e17i	1.04174	+	1.04174i	0.999090	+	0.0426541i	$0.0135813\pi$
$883$	4.93771e17	+	4.93771e17i	1.04174	+	1.04174i	0.0426541	+	0.999090i	$0.486419\pi$
$884$			2.61352e17i			0.547662i
$885$	−2.69920e17	+	1.86536e16i	−0.561792	+	0.0388243i
$886$	−3.23267e17			−0.668281
$887$	−3.44362e17	+	3.44362e17i	−0.707088	+	0.707088i	−0.965922	−	0.258834i	$-0.916662\pi$
$887$	−3.44362e17	+	3.44362e17i	−0.707088	+	0.707088i	0.258834	+	0.965922i	$0.416662\pi$
$888$	5.20302e14	+	5.20302e14i	0.00106115	+	0.00106115i
$889$			9.53733e16i			0.193204i
$890$	8.23640e15	+	1.19182e17i	0.0165729	+	0.239811i
$891$	1.23577e17			0.246985
$892$	2.88035e17	−	2.88035e17i	0.571817	−	0.571817i
$893$	−1.93961e17	−	1.93961e17i	−0.382478	−	0.382478i
$894$		−	2.44875e17i		−	0.479644i
$895$	2.92263e17	−	3.35658e17i	0.568638	−	0.653068i
$896$	3.76847e16			0.0728312
$897$	2.92632e17	−	2.92632e17i	0.561780	−	0.561780i
$898$	3.48112e17	+	3.48112e17i	0.663837	+	0.663837i
$899$		−	1.71581e17i		−	0.325021i
$900$	−3.08576e16	−	2.22190e17i	−0.0580640	−	0.418090i
$901$	−9.90550e17			−1.85152
$902$	−6.32938e16	+	6.32938e16i	−0.117523	+	0.117523i
$903$	−2.18957e15	−	2.18957e15i	−0.00403861	−	0.00403861i
$904$		−	2.33959e17i		−	0.428677i
$905$	−4.86436e17	−	4.23549e17i	−0.885389	−	0.770925i
$906$	2.49585e15			0.00451284
$907$	−3.16512e16	+	3.16512e16i	−0.0568522	+	0.0568522i	−0.734961	−	0.678109i	$-0.762800\pi$
$907$	−3.16512e16	+	3.16512e16i	−0.0568522	+	0.0568522i	0.678109	+	0.734961i	$0.262800\pi$
$908$	5.78607e16	+	5.78607e16i	0.103245	+	0.103245i
$909$		−	4.65555e17i		−	0.825254i
$910$	3.54925e17	−	2.45281e16i	0.625011	−	0.0431932i
$911$	−5.58982e17			−0.977885			−0.488943	−	0.872316i	$-0.662617\pi$
$911$	−5.58982e17			−0.977885			−0.488943	+	0.872316i	$0.662617\pi$
$912$	3.61014e16	−	3.61014e16i	0.0627415	−	0.0627415i
$913$	4.28915e16	+	4.28915e16i	0.0740536	+	0.0740536i
$914$			1.24921e17i			0.214269i
$915$	−2.42988e16	−	3.51606e17i	−0.0414055	−	0.599142i
$916$	4.67267e17			0.791028
$917$	2.02617e17	−	2.02617e17i	0.340768	−	0.340768i
$918$	−2.21891e17	−	2.21891e17i	−0.370751	−	0.370751i
$919$		−	3.61756e17i		−	0.600513i	−0.953859	−	0.300256i	$-0.902928\pi$
$919$		−	3.61756e17i		−	0.600513i	0.953859	−	0.300256i	$-0.0970723\pi$
$920$	−2.63525e17	+	3.02653e17i	−0.434606	+	0.499135i
$921$	−2.51987e16			−0.0412876
$922$	1.93797e17	−	1.93797e17i	0.315473	−	0.315473i
$923$	−9.13273e17	−	9.13273e17i	−1.47703	−	1.47703i
$924$			4.48851e16i			0.0721225i
$925$	−5.37313e15	−	4.06269e15i	−0.00857781	−	0.00648579i
$926$	5.11862e16			0.0811871
$927$	1.47110e17	−	1.47110e17i	0.231827	−	0.231827i
$928$	6.93562e16	+	6.93562e16i	0.108592	+	0.108592i
$929$			1.03763e18i			1.61417i	0.590437	+	0.807084i	$0.298956\pi$
$929$			1.03763e18i			1.61417i	−0.590437	+	0.807084i	$0.701044\pi$
$930$	−5.09511e16	−	4.43641e16i	−0.0787510	−	0.0685700i
$931$	−1.87979e17			−0.288676
$932$	9.87584e16	−	9.87584e16i	0.150688	−	0.150688i
$933$	3.50341e17	+	3.50341e17i	0.531130	+	0.531130i
$934$		−	3.43174e17i		−	0.516932i
$935$	3.01138e17	−	2.08110e16i	0.450708	−	0.0311475i
$936$	2.15811e17			0.320936
$937$	−7.81354e16	+	7.81354e16i	−0.115454	+	0.115454i	−0.762474	−	0.647019i	$-0.776015\pi$
$937$	−7.81354e16	+	7.81354e16i	−0.115454	+	0.115454i	0.647019	+	0.762474i	$0.276015\pi$
$938$	2.56085e17	+	2.56085e17i	0.375982	+	0.375982i
$939$		−	9.98031e16i		−	0.145596i
$940$	−1.43053e16	−	2.07000e17i	−0.0207363	−	0.300056i
$941$	2.03439e17			0.293019			0.146509	−	0.989209i	$-0.453196\pi$
$941$	2.03439e17			0.293019			0.146509	+	0.989209i	$0.453196\pi$
$942$	−3.34759e16	+	3.34759e16i	−0.0479100	+	0.0479100i
$943$	4.93282e17	+	4.93282e17i	0.701496	+	0.701496i
$944$			2.52410e17i			0.356676i
$945$	−2.80510e17	+	3.22159e17i	−0.393874	+	0.452355i
$946$	3.94714e15			0.00550726
$947$	−2.49539e17	+	2.49539e17i	−0.345970	+	0.345970i	−0.858606	−	0.512636i	$-0.828669\pi$
$947$	−2.49539e17	+	2.49539e17i	−0.345970	+	0.345970i	0.512636	+	0.858606i	$0.328669\pi$
$948$	−1.86340e17	−	1.86340e17i	−0.256718	−	0.256718i
$949$		−	5.06136e17i		−	0.692900i
$950$	−2.81891e17	+	3.72816e17i	−0.383477	+	0.507170i
$951$	7.31187e16			0.0988429
$952$	−1.56211e17	+	1.56211e17i	−0.209841	+	0.209841i
$953$	4.96480e17	+	4.96480e17i	0.662741	+	0.662741i	0.956025	−	0.293284i	$-0.0947481\pi$
$953$	4.96480e17	+	4.96480e17i	0.662741	+	0.662741i	−0.293284	+	0.956025i	$0.594748\pi$
$954$			8.17944e17i			1.08501i
$955$	5.90536e17	+	5.14191e17i	0.778442	+	0.677804i
$956$	−1.22491e17			−0.160456
$957$	−8.26080e16	+	8.26080e16i	−0.107535	+	0.107535i
$958$	−1.39338e17	−	1.39338e17i	−0.180251	−	0.180251i
$959$			3.45859e17i			0.444619i
$960$	3.85282e16	−	2.66260e15i	0.0492211	−	0.00340157i
$961$	−6.77411e17			−0.860026
$962$	4.58245e15	−	4.58245e15i	0.00578159	−	0.00578159i
$963$	−5.67922e17	−	5.67922e17i	−0.712084	−	0.712084i
$964$			8.65550e16i			0.107852i
$965$	7.01538e16	+	1.01513e18i	0.0868735	+	1.25707i
$966$	3.49814e17			0.430501
$967$	5.71768e17	−	5.71768e17i	0.699296	−	0.699296i	−0.264963	−	0.964259i	$-0.585360\pi$
$967$	5.71768e17	−	5.71768e17i	0.699296	−	0.699296i	0.964259	+	0.264963i	$0.0853597\pi$
$968$	1.65223e17	+	1.65223e17i	0.200825	+	0.200825i
$969$			2.99295e17i			0.361541i
$970$	5.70223e17	−	6.54888e17i	0.684565	−	0.786207i
$971$	5.76903e17			0.688316			0.344158	−	0.938912i	$-0.388164\pi$
$971$	5.76903e17			0.688316			0.344158	+	0.938912i	$0.388164\pi$
$972$	−2.82578e17	+	2.82578e17i	−0.335073	+	0.335073i
$973$	2.70417e17	+	2.70417e17i	0.318681	+	0.318681i
$974$		−	7.01938e17i		−	0.822139i
$975$	3.61135e17	−	5.01542e16i	0.420380	−	0.0583821i
$976$	−3.28797e17			−0.380390
$977$	−1.49549e17	+	1.49549e17i	−0.171956	+	0.171956i	−0.787838	−	0.615882i	$-0.788800\pi$
$977$	−1.49549e17	+	1.49549e17i	−0.171956	+	0.171956i	0.615882	+	0.787838i	$0.288800\pi$
$978$	−2.45855e15	−	2.45855e15i	−0.00280961	−	0.00280961i
$979$			1.32745e17i			0.150772i
$980$	−1.07240e17	−	9.33756e16i	−0.121060	−	0.105409i
$981$	1.22980e18			1.37981
$982$	−7.86794e17	+	7.86794e17i	−0.877388	+	0.877388i
$983$	−7.88732e17	−	7.88732e17i	−0.874195	−	0.874195i	0.118731	−	0.992926i	$-0.462117\pi$
$983$	−7.88732e17	−	7.88732e17i	−0.874195	−	0.874195i	−0.992926	+	0.118731i	$0.962117\pi$
$984$		−	6.71352e16i		−	0.0739571i
$985$	−2.98097e17	+	2.06009e16i	−0.326393	+	0.0225563i
$986$	−5.74992e17			−0.625749
$987$	−1.27895e17	+	1.27895e17i	−0.138341	+	0.138341i
$988$	−3.17955e17	−	3.17955e17i	−0.341841	−	0.341841i
$989$		−	3.07622e16i		−	0.0328730i
$990$	−1.71846e16	−	2.48664e17i	−0.0182528	−	0.264120i
$991$	1.43911e18			1.51933			0.759667	−	0.650312i	$-0.225362\pi$
$991$	1.43911e18			1.51933			0.759667	+	0.650312i	$0.225362\pi$
$992$	−4.45660e16	+	4.45660e16i	−0.0467664	+	0.0467664i
$993$	−2.81713e17	−	2.81713e17i	−0.293840	−	0.293840i
$994$		−	1.09173e18i		−	1.13187i
$995$	3.61264e17	−	4.14903e17i	0.372294	−	0.427571i
$996$	−4.54947e16			−0.0466020
$997$	−1.03843e18	+	1.03843e18i	−1.05732	+	1.05732i	−0.0590616	+	0.998254i	$0.518811\pi$
$997$	−1.03843e18	+	1.03843e18i	−1.05732	+	1.05732i	−0.998254	+	0.0590616i	$0.981189\pi$
$998$	−1.10318e17	−	1.10318e17i	−0.111651	−	0.111651i
$999$			7.78109e15i			0.00782794i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	10.13.c.b.3.2	✓	6
3.2	odd	2		90.13.g.a.73.3		6
4.3	odd	2		80.13.p.a.33.2		6
5.2	odd	4	inner	10.13.c.b.7.2	yes	6
5.3	odd	4		50.13.c.c.7.2		6
5.4	even	2		50.13.c.c.43.2		6
15.2	even	4		90.13.g.a.37.3		6
20.7	even	4		80.13.p.a.17.2		6

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
10.13.c.b.3.2	✓	6	1.1	even	1	trivial
10.13.c.b.7.2	yes	6	5.2	odd	4	inner
50.13.c.c.7.2		6	5.3	odd	4
50.13.c.c.43.2		6	5.4	even	2
80.13.p.a.17.2		6	20.7	even	4
80.13.p.a.33.2		6	4.3	odd	2
90.13.g.a.37.3		6	15.2	even	4
90.13.g.a.73.3		6	3.2	odd	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 10 = 2 \cdot 5 \)
Weight:	\( k \)	\(=\)	\( 13 \)
Character orbit:	\([\chi]\)	\(=\)	10.c (of order \(4\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(32.0000 - 32.0000i) q^{2} +(203.464 + 203.464i) q^{3} -2048.00i q^{4} +(-11784.0 - 10260.5i) q^{5} +13021.7 q^{6} +(68548.2 - 68548.2i) q^{7} +(-65536.0 - 65536.0i) q^{8} -448646. i q^{9} +O(q^{10})\)	\(q+(32.0000 - 32.0000i) q^{2} +(203.464 + 203.464i) q^{3} -2048.00i q^{4} +(-11784.0 - 10260.5i) q^{5} +13021.7 q^{6} +(68548.2 - 68548.2i) q^{7} +(-65536.0 - 65536.0i) q^{8} -448646. i q^{9} +(-705424. + 48750.4i) q^{10} -785703. q^{11} +(416695. - 416695. i) q^{12} +(-3.66995e6 - 3.66995e6i) q^{13} -4.38708e6i q^{14} +(-309968. - 4.48527e6i) q^{15} -4.19430e6 q^{16} +(1.73863e7 - 1.73863e7i) q^{17} +(-1.43567e7 - 1.43567e7i) q^{18} +4.23034e7i q^{19} +(-2.10136e7 + 2.41336e7i) q^{20} +2.78942e7 q^{21} +(-2.51425e7 + 2.51425e7i) q^{22} +(1.95949e8 + 1.95949e8i) q^{23} -2.66685e7i q^{24} +(3.35837e7 + 2.41820e8i) q^{25} -2.34877e8 q^{26} +(1.99413e8 - 1.99413e8i) q^{27} +(-1.40387e8 - 1.40387e8i) q^{28} -5.16744e8i q^{29} +(-1.53448e8 - 1.33610e8i) q^{30} +3.32043e8 q^{31} +(-1.34218e8 + 1.34218e8i) q^{32} +(-1.59863e8 - 1.59863e8i) q^{33} -1.11272e9i q^{34} +(-1.51111e9 + 1.04430e8i) q^{35} -9.18826e8 q^{36} +(-1.95100e7 + 1.95100e7i) q^{37} +(1.35371e9 + 1.35371e9i) q^{38} -1.49341e9i q^{39} +(9.98409e7 + 1.44471e9i) q^{40} +2.51740e9 q^{41} +(8.92615e8 - 8.92615e8i) q^{42} +(-7.84954e7 - 7.84954e7i) q^{43} +1.60912e9i q^{44} +(-4.60334e9 + 5.28683e9i) q^{45} +1.25407e10 q^{46} +(-4.58500e9 + 4.58500e9i) q^{47} +(-8.53391e8 - 8.53391e8i) q^{48} +4.44359e9i q^{49} +(8.81291e9 + 6.66355e9i) q^{50} +7.07497e9 q^{51} +(-7.51606e9 + 7.51606e9i) q^{52} +(-2.84866e10 - 2.84866e10i) q^{53} -1.27624e10i q^{54} +(9.25871e9 + 8.06173e9i) q^{55} -8.98474e9 q^{56} +(-8.60724e9 + 8.60724e9i) q^{57} +(-1.65358e10 - 1.65358e10i) q^{58} -6.01792e10i q^{59} +(-9.18583e9 + 6.34814e8i) q^{60} +7.83913e10 q^{61} +(1.06254e10 - 1.06254e10i) q^{62} +(-3.07538e10 - 3.07538e10i) q^{63} +8.58993e9i q^{64} +(5.59099e9 + 8.09022e10i) q^{65} -1.02312e10 q^{66} +(-5.83726e10 + 5.83726e10i) q^{67} +(-3.56071e10 - 3.56071e10i) q^{68} +7.97372e10i q^{69} +(-4.50138e10 + 5.16973e10i) q^{70} +2.48852e11 q^{71} +(-2.94024e10 + 2.94024e10i) q^{72} +(6.89569e10 + 6.89569e10i) q^{73} +1.24864e9i q^{74} +(-4.23686e10 + 5.60348e10i) q^{75} +8.66374e10 q^{76} +(-5.38585e10 + 5.38585e10i) q^{77} +(-4.77890e10 - 4.77890e10i) q^{78} -4.47187e11i q^{79} +(4.94256e10 + 4.30358e10i) q^{80} -1.57282e11 q^{81} +(8.05568e10 - 8.05568e10i) q^{82} +(-5.45899e10 - 5.45899e10i) q^{83} -5.71273e10i q^{84} +(-3.83272e11 + 2.64871e10i) q^{85} -5.02370e9 q^{86} +(1.05139e11 - 1.05139e11i) q^{87} +(5.14919e10 + 5.14919e10i) q^{88} -1.68950e11i q^{89} +(2.18717e10 + 3.16485e11i) q^{90} -5.03136e11 q^{91} +(4.01303e11 - 4.01303e11i) q^{92} +(6.75588e10 + 6.75588e10i) q^{93} +2.93440e11i q^{94} +(4.34056e11 - 4.98503e11i) q^{95} -5.46170e10 q^{96} +(-8.68351e11 + 8.68351e11i) q^{97} +(1.42195e11 + 1.42195e11i) q^{98} +3.52502e11i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 6 q + 192 q^{2} + 296 q^{3} + 14460 q^{5} + 18944 q^{6} - 322104 q^{7} - 393216 q^{8}+O(q^{10}) \) 6 * q + 192 * q^2 + 296 * q^3 + 14460 * q^5 + 18944 * q^6 - 322104 * q^7 - 393216 * q^8	\( 6 q + 192 q^{2} + 296 q^{3} + 14460 q^{5} + 18944 q^{6} - 322104 q^{7} - 393216 q^{8} - 18240 q^{10} + 1652712 q^{11} + 606208 q^{12} - 4646814 q^{13} - 41776360 q^{15} - 25165824 q^{16} + 51200226 q^{17} + 36525632 q^{18} - 30781440 q^{20} + 117123272 q^{21} + 52886784 q^{22} + 105826896 q^{23} - 161517150 q^{25} - 297396096 q^{26} + 627050120 q^{27} + 659668992 q^{28} - 699452160 q^{30} - 2667117168 q^{31} - 805306368 q^{32} + 4381479992 q^{33} - 7758629520 q^{35} + 2337640448 q^{36} + 1747956246 q^{37} - 2125152000 q^{38} - 1932656640 q^{40} + 22722098232 q^{41} + 3747944704 q^{42} - 15890524824 q^{43} - 8103444470 q^{45} + 6772921344 q^{46} - 18495531264 q^{47} - 1241513984 q^{48} + 8149569600 q^{50} + 114152506432 q^{51} - 9516675072 q^{52} - 88020413514 q^{53} + 37466287320 q^{55} + 42218815488 q^{56} - 174270786400 q^{57} - 107861859840 q^{58} + 40793047040 q^{60} + 291794891352 q^{61} - 85347749376 q^{62} - 297541783984 q^{63} + 26961608790 q^{65} + 280414719488 q^{66} - 3887251464 q^{67} - 104858062848 q^{68} - 110954853120 q^{70} + 929135015472 q^{71} + 74804494336 q^{72} + 12678070086 q^{73} - 928285655600 q^{75} - 136009728000 q^{76} - 436526954808 q^{77} - 80105703936 q^{78} - 60649635840 q^{80} + 833935849906 q^{81} + 727107143424 q^{82} + 68676615456 q^{83} + 142549278930 q^{85} - 1016993588736 q^{86} - 943420476880 q^{87} - 108312133632 q^{88} + 717302271680 q^{90} - 1619146872048 q^{91} + 216733483008 q^{92} + 2320495891112 q^{93} - 1510780128600 q^{95} - 79456894976 q^{96} + 675735777846 q^{97} - 1327663144512 q^{98}+O(q^{100}) \) 6 * q + 192 * q^2 + 296 * q^3 + 14460 * q^5 + 18944 * q^6 - 322104 * q^7 - 393216 * q^8 - 18240 * q^10 + 1652712 * q^11 + 606208 * q^12 - 4646814 * q^13 - 41776360 * q^15 - 25165824 * q^16 + 51200226 * q^17 + 36525632 * q^18 - 30781440 * q^20 + 117123272 * q^21 + 52886784 * q^22 + 105826896 * q^23 - 161517150 * q^25 - 297396096 * q^26 + 627050120 * q^27 + 659668992 * q^28 - 699452160 * q^30 - 2667117168 * q^31 - 805306368 * q^32 + 4381479992 * q^33 - 7758629520 * q^35 + 2337640448 * q^36 + 1747956246 * q^37 - 2125152000 * q^38 - 1932656640 * q^40 + 22722098232 * q^41 + 3747944704 * q^42 - 15890524824 * q^43 - 8103444470 * q^45 + 6772921344 * q^46 - 18495531264 * q^47 - 1241513984 * q^48 + 8149569600 * q^50 + 114152506432 * q^51 - 9516675072 * q^52 - 88020413514 * q^53 + 37466287320 * q^55 + 42218815488 * q^56 - 174270786400 * q^57 - 107861859840 * q^58 + 40793047040 * q^60 + 291794891352 * q^61 - 85347749376 * q^62 - 297541783984 * q^63 + 26961608790 * q^65 + 280414719488 * q^66 - 3887251464 * q^67 - 104858062848 * q^68 - 110954853120 * q^70 + 929135015472 * q^71 + 74804494336 * q^72 + 12678070086 * q^73 - 928285655600 * q^75 - 136009728000 * q^76 - 436526954808 * q^77 - 80105703936 * q^78 - 60649635840 * q^80 + 833935849906 * q^81 + 727107143424 * q^82 + 68676615456 * q^83 + 142549278930 * q^85 - 1016993588736 * q^86 - 943420476880 * q^87 - 108312133632 * q^88 + 717302271680 * q^90 - 1619146872048 * q^91 + 216733483008 * q^92 + 2320495891112 * q^93 - 1510780128600 * q^95 - 79456894976 * q^96 + 675735777846 * q^97 - 1327663144512 * q^98

Introduction

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