LMFDB - Embedded newform 10.13.c.a.7.2

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} + 2385x^{4} + 1422264x^{2} + 490000 $ x^6 + 2385x^4 + 1422264x^2 + 490000
Coefficient ring:	$\Z[a_1, \ldots, a_{9}]$
Coefficient ring index:	$ 2^{5}\cdot 3^{2}\cdot 5^{6} $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label			7.2
Root			$-34.3230i$ of defining polynomial
Character	$\chi$	$=$	10.7
Dual form			10.13.c.a.3.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-32.0000 - 32.0000i) q^{2} +(59.4453 - 59.4453i) q^{3} +2048.00i q^{4} +(3818.66 - 15151.2i) q^{5} -3804.50 q^{6} +(-59325.1 - 59325.1i) q^{7} +(65536.0 - 65536.0i) q^{8} +524374. i q^{9} +O(q^{10})$	\(q+(-32.0000 - 32.0000i) q^{2} +(59.4453 - 59.4453i) q^{3} +2048.00i q^{4} +(3818.66 - 15151.2i) q^{5} -3804.50 q^{6} +(-59325.1 - 59325.1i) q^{7} +(65536.0 - 65536.0i) q^{8} +524374. i q^{9} +(-607035. + 362641. i) q^{10} -2.34646e6 q^{11} +(121744. + 121744. i) q^{12} +(-4.56702e6 + 4.56702e6i) q^{13} +3.79681e6i q^{14} +(-673665. - 1.12767e6i) q^{15} -4.19430e6 q^{16} +(-1.56434e7 - 1.56434e7i) q^{17} +(1.67800e7 - 1.67800e7i) q^{18} +1.45864e7i q^{19} +(3.10296e7 + 7.82062e6i) q^{20} -7.05320e6 q^{21} +(7.50867e7 + 7.50867e7i) q^{22} +(1.10378e8 - 1.10378e8i) q^{23} -7.79162e6i q^{24} +(-2.14976e8 - 1.15715e8i) q^{25} +2.92289e8 q^{26} +(6.27632e7 + 6.27632e7i) q^{27} +(1.21498e8 - 1.21498e8i) q^{28} -5.34534e7i q^{29} +(-1.45281e7 + 5.76427e7i) q^{30} -1.35539e9 q^{31} +(1.34218e8 + 1.34218e8i) q^{32} +(-1.39486e8 + 1.39486e8i) q^{33} +1.00118e9i q^{34} +(-1.12539e9 + 6.72303e8i) q^{35} -1.07392e9 q^{36} +(7.96598e8 + 7.96598e8i) q^{37} +(4.66766e8 - 4.66766e8i) q^{38} +5.42976e8i q^{39} +(-7.42688e8 - 1.24321e9i) q^{40} +5.38572e8 q^{41} +(2.25702e8 + 2.25702e8i) q^{42} +(7.82281e9 - 7.82281e9i) q^{43} -4.80555e9i q^{44} +(7.94488e9 + 2.00241e9i) q^{45} -7.06422e9 q^{46} +(5.73384e9 + 5.73384e9i) q^{47} +(-2.49332e8 + 2.49332e8i) q^{48} -6.80235e9i q^{49} +(3.17637e9 + 1.05821e10i) q^{50} -1.85985e9 q^{51} +(-9.35326e9 - 9.35326e9i) q^{52} +(-1.01663e10 + 1.01663e10i) q^{53} -4.01685e9i q^{54} +(-8.96034e9 + 3.55517e10i) q^{55} -7.77586e9 q^{56} +(8.67095e8 + 8.67095e8i) q^{57} +(-1.71051e9 + 1.71051e9i) q^{58} -5.72907e10i q^{59} +(2.30947e9 - 1.37967e9i) q^{60} -9.47423e10 q^{61} +(4.33726e10 + 4.33726e10i) q^{62} +(3.11085e10 - 3.11085e10i) q^{63} -8.58993e9i q^{64} +(5.17559e10 + 8.66357e10i) q^{65} +8.92711e9 q^{66} +(-4.17965e10 - 4.17965e10i) q^{67} +(3.20376e10 - 3.20376e10i) q^{68} -1.31230e10i q^{69} +(5.75261e10 + 1.44987e10i) q^{70} -3.51901e10 q^{71} +(3.43653e10 + 3.43653e10i) q^{72} +(1.08806e11 - 1.08806e11i) q^{73} -5.09823e10i q^{74} +(-1.96580e10 + 5.90064e9i) q^{75} -2.98730e10 q^{76} +(1.39204e11 + 1.39204e11i) q^{77} +(1.73752e10 - 1.73752e10i) q^{78} -1.31009e11i q^{79} +(-1.60166e10 + 6.35487e10i) q^{80} -2.71212e11 q^{81} +(-1.72343e10 - 1.72343e10i) q^{82} +(1.61869e11 - 1.61869e11i) q^{83} -1.44450e10i q^{84} +(-2.96752e11 + 1.77279e11i) q^{85} -5.00660e11 q^{86} +(-3.17756e9 - 3.17756e9i) q^{87} +(-1.53778e11 + 1.53778e11i) q^{88} +8.98485e11i q^{89} +(-1.90159e11 - 3.18313e11i) q^{90} +5.41878e11 q^{91} +(2.26055e11 + 2.26055e11i) q^{92} +(-8.05719e10 + 8.05719e10i) q^{93} -3.66966e11i q^{94} +(2.21002e11 + 5.57007e10i) q^{95} +1.59572e10 q^{96} +(-3.98581e11 - 3.98581e11i) q^{97} +(-2.17675e11 + 2.17675e11i) q^{98} -1.23042e12i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 6 q - 192 q^{2} - 936 q^{3} - 16260 q^{5} + 59904 q^{6} - 45336 q^{7} + 393216 q^{8}+O(q^{10}) $ 6 * q - 192 * q^2 - 936 * q^3 - 16260 * q^5 + 59904 * q^6 - 45336 * q^7 + 393216 * q^8	\( 6 q - 192 q^{2} - 936 q^{3} - 16260 q^{5} + 59904 q^{6} - 45336 q^{7} + 393216 q^{8} + 886080 q^{10} - 3418008 q^{11} - 1916928 q^{12} + 8106834 q^{13} + 26693880 q^{15} - 25165824 q^{16} + 10772514 q^{17} - 8703552 q^{18} - 23408640 q^{20} - 173036568 q^{21} + 109376256 q^{22} + 241146864 q^{23} - 520941150 q^{25} - 518837376 q^{26} + 1437591240 q^{27} + 92848128 q^{28} - 1764983040 q^{30} - 1709108208 q^{31} + 805306368 q^{32} + 6415914648 q^{33} - 3823952160 q^{35} + 557027328 q^{36} - 742614906 q^{37} + 3927847680 q^{38} - 316538880 q^{40} - 24748899528 q^{41} + 5537170176 q^{42} + 14532965304 q^{43} + 17091495930 q^{45} - 15433399296 q^{46} + 8427287424 q^{47} + 3925868544 q^{48} + 4302859200 q^{50} - 82983967968 q^{51} + 16602796032 q^{52} + 1297014534 q^{53} + 75773173080 q^{55} - 5942280192 q^{56} + 30123821760 q^{57} + 576729600 q^{58} + 58289848320 q^{60} - 201276821928 q^{61} + 54691462656 q^{62} + 149855233584 q^{63} + 146156357430 q^{65} - 410618537472 q^{66} + 108303977544 q^{67} - 22062108672 q^{68} + 132252737280 q^{70} - 570401667408 q^{71} - 17824874496 q^{72} + 710242228134 q^{73} - 180009328800 q^{75} - 251382251520 q^{76} + 9201523848 q^{77} + 422419616256 q^{78} + 68199383040 q^{80} - 754940669454 q^{81} + 791964784896 q^{82} + 727867488144 q^{83} - 1459335929310 q^{85} - 930109779456 q^{86} + 610413099600 q^{87} - 224002572288 q^{88} + 536586058560 q^{90} + 1841466543792 q^{91} + 493868777472 q^{92} + 503663914248 q^{93} - 972100512600 q^{95} - 251255586816 q^{96} - 2207840630346 q^{97} - 1960900383168 q^{98}+O(q^{100}) \) 6 * q - 192 * q^2 - 936 * q^3 - 16260 * q^5 + 59904 * q^6 - 45336 * q^7 + 393216 * q^8 + 886080 * q^10 - 3418008 * q^11 - 1916928 * q^12 + 8106834 * q^13 + 26693880 * q^15 - 25165824 * q^16 + 10772514 * q^17 - 8703552 * q^18 - 23408640 * q^20 - 173036568 * q^21 + 109376256 * q^22 + 241146864 * q^23 - 520941150 * q^25 - 518837376 * q^26 + 1437591240 * q^27 + 92848128 * q^28 - 1764983040 * q^30 - 1709108208 * q^31 + 805306368 * q^32 + 6415914648 * q^33 - 3823952160 * q^35 + 557027328 * q^36 - 742614906 * q^37 + 3927847680 * q^38 - 316538880 * q^40 - 24748899528 * q^41 + 5537170176 * q^42 + 14532965304 * q^43 + 17091495930 * q^45 - 15433399296 * q^46 + 8427287424 * q^47 + 3925868544 * q^48 + 4302859200 * q^50 - 82983967968 * q^51 + 16602796032 * q^52 + 1297014534 * q^53 + 75773173080 * q^55 - 5942280192 * q^56 + 30123821760 * q^57 + 576729600 * q^58 + 58289848320 * q^60 - 201276821928 * q^61 + 54691462656 * q^62 + 149855233584 * q^63 + 146156357430 * q^65 - 410618537472 * q^66 + 108303977544 * q^67 - 22062108672 * q^68 + 132252737280 * q^70 - 570401667408 * q^71 - 17824874496 * q^72 + 710242228134 * q^73 - 180009328800 * q^75 - 251382251520 * q^76 + 9201523848 * q^77 + 422419616256 * q^78 + 68199383040 * q^80 - 754940669454 * q^81 + 791964784896 * q^82 + 727867488144 * q^83 - 1459335929310 * q^85 - 930109779456 * q^86 + 610413099600 * q^87 - 224002572288 * q^88 + 536586058560 * q^90 + 1841466543792 * q^91 + 493868777472 * q^92 + 503663914248 * q^93 - 972100512600 * q^95 - 251255586816 * q^96 - 2207840630346 * q^97 - 1960900383168 * q^98

Display 100 coefficients 10 coefficients

Character values

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

$n$	$7$
$\chi(n)$	$e\left(\frac{1}{4}\right)$

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
$3$	59.4453	−	59.4453i	0.0815437	−	0.0815437i	−0.665159	−	0.746702i	$-0.731636\pi$
$3$	59.4453	−	59.4453i	0.0815437	−	0.0815437i	0.746702	+	0.665159i	$0.231636\pi$
$4$			2048.00i			0.500000i
$5$	3818.66	−	15151.2i	0.244394	−	0.969676i
$5$	3818.66	−	15151.2i	0.244394	−	0.969676i
$6$	−3804.50			−0.0815437
$7$	−59325.1	−	59325.1i	−0.504255	−	0.504255i	0.408502	−	0.912757i	$-0.366051\pi$
$7$	−59325.1	−	59325.1i	−0.504255	−	0.504255i	−0.912757	+	0.408502i	$0.866051\pi$
$8$	65536.0	−	65536.0i	0.250000	−	0.250000i
$9$			524374.i			0.986701i
$10$	−607035.	+	362641.i	−0.607035	+	0.362641i
$11$	−2.34646e6			−1.32452			−0.662258	−	0.749276i	$-0.730402\pi$
$11$	−2.34646e6			−1.32452			−0.662258	+	0.749276i	$0.730402\pi$
$12$	121744.	+	121744.i	0.0407718	+	0.0407718i
$13$	−4.56702e6	+	4.56702e6i	−0.946178	+	0.946178i	−0.998624	−	0.0524458i	$-0.983298\pi$
$13$	−4.56702e6	+	4.56702e6i	−0.946178	+	0.946178i	0.0524458	+	0.998624i	$0.483298\pi$
$14$			3.79681e6i			0.504255i
$15$	−673665.	−	1.12767e6i	−0.0591421	−	0.0989997i
$16$	−4.19430e6			−0.250000
$17$	−1.56434e7	−	1.56434e7i	−0.648092	−	0.648092i	0.304440	−	0.952532i	$-0.401531\pi$
$17$	−1.56434e7	−	1.56434e7i	−0.648092	−	0.648092i	−0.952532	+	0.304440i	$0.901531\pi$
$18$	1.67800e7	−	1.67800e7i	0.493351	−	0.493351i
$19$			1.45864e7i			0.310047i	0.987911	+	0.155023i	$0.0495453\pi$
$19$			1.45864e7i			0.310047i	−0.987911	+	0.155023i	$0.950455\pi$
$20$	3.10296e7	+	7.82062e6i	0.484838	+	0.122197i
$21$	−7.05320e6			−0.0822376
$22$	7.50867e7	+	7.50867e7i	0.662258	+	0.662258i
$23$	1.10378e8	−	1.10378e8i	0.745619	−	0.745619i	−0.228034	−	0.973653i	$-0.573230\pi$
$23$	1.10378e8	−	1.10378e8i	0.745619	−	0.745619i	0.973653	+	0.228034i	$0.0732297\pi$
$24$		−	7.79162e6i		−	0.0407718i
$25$	−2.14976e8	−	1.15715e8i	−0.880543	−	0.473967i
$26$	2.92289e8			0.946178
$27$	6.27632e7	+	6.27632e7i	0.162003	+	0.162003i
$28$	1.21498e8	−	1.21498e8i	0.252128	−	0.252128i
$29$		−	5.34534e7i		−	0.0898643i	−0.998990	−	0.0449322i	$-0.985693\pi$
$29$		−	5.34534e7i		−	0.0898643i	0.998990	−	0.0449322i	$-0.0143072\pi$
$30$	−1.45281e7	+	5.76427e7i	−0.0199288	+	0.0790709i
$31$	−1.35539e9			−1.52720			−0.763600	−	0.645690i	$-0.776570\pi$
$31$	−1.35539e9			−1.52720			−0.763600	+	0.645690i	$0.776570\pi$
$32$	1.34218e8	+	1.34218e8i	0.125000	+	0.125000i
$33$	−1.39486e8	+	1.39486e8i	−0.108006	+	0.108006i
$34$			1.00118e9i			0.648092i
$35$	−1.12539e9	+	6.72303e8i	−0.612201	+	0.365727i
$36$	−1.07392e9			−0.493351
$37$	7.96598e8	+	7.96598e8i	0.310477	+	0.310477i	0.845094	−	0.534618i	$-0.179544\pi$
$37$	7.96598e8	+	7.96598e8i	0.310477	+	0.310477i	−0.534618	+	0.845094i	$0.679544\pi$
$38$	4.66766e8	−	4.66766e8i	0.155023	−	0.155023i
$39$			5.42976e8i			0.154310i
$40$	−7.42688e8	−	1.24321e9i	−0.181320	−	0.303518i
$41$	5.38572e8			0.113381			0.0566905	−	0.998392i	$-0.481945\pi$
$41$	5.38572e8			0.113381			0.0566905	+	0.998392i	$0.481945\pi$
$42$	2.25702e8	+	2.25702e8i	0.0411188	+	0.0411188i
$43$	7.82281e9	−	7.82281e9i	1.23752	−	1.23752i	0.276508	−	0.961012i	$-0.410823\pi$
$43$	7.82281e9	−	7.82281e9i	1.23752	−	1.23752i	0.961012	−	0.276508i	$-0.0891773\pi$
$44$		−	4.80555e9i		−	0.662258i
$45$	7.94488e9	+	2.00241e9i	0.956780	+	0.241144i
$46$	−7.06422e9			−0.745619
$47$	5.73384e9	+	5.73384e9i	0.531935	+	0.531935i	0.921148	−	0.389213i	$-0.127253\pi$
$47$	5.73384e9	+	5.73384e9i	0.531935	+	0.531935i	−0.389213	+	0.921148i	$0.627253\pi$
$48$	−2.49332e8	+	2.49332e8i	−0.0203859	+	0.0203859i
$49$		−	6.80235e9i		−	0.491453i
$50$	3.17637e9	+	1.05821e10i	0.203288	+	0.677255i
$51$	−1.85985e9			−0.105696
$52$	−9.35326e9	−	9.35326e9i	−0.473089	−	0.473089i
$53$	−1.01663e10	+	1.01663e10i	−0.458679	+	0.458679i	−0.898222	−	0.439543i	$-0.855140\pi$
$53$	−1.01663e10	+	1.01663e10i	−0.458679	+	0.458679i	0.439543	+	0.898222i	$0.355140\pi$
$54$		−	4.01685e9i		−	0.162003i
$55$	−8.96034e9	+	3.55517e10i	−0.323704	+	1.28435i
$56$	−7.77586e9			−0.252128
$57$	8.67095e8	+	8.67095e8i	0.0252824	+	0.0252824i
$58$	−1.71051e9	+	1.71051e9i	−0.0449322	+	0.0449322i
$59$		−	5.72907e10i		−	1.35823i	−0.734034	−	0.679113i	$-0.762365\pi$
$59$		−	5.72907e10i		−	1.35823i	0.734034	−	0.679113i	$-0.237635\pi$
$60$	2.30947e9	−	1.37967e9i	0.0494999	−	0.0295711i
$61$	−9.47423e10			−1.83893			−0.919464	−	0.393174i	$-0.871377\pi$
$61$	−9.47423e10			−1.83893			−0.919464	+	0.393174i	$0.871377\pi$
$62$	4.33726e10	+	4.33726e10i	0.763600	+	0.763600i
$63$	3.11085e10	−	3.11085e10i	0.497549	−	0.497549i
$64$		−	8.58993e9i		−	0.125000i
$65$	5.17559e10	+	8.66357e10i	0.686245	+	1.14873i
$66$	8.92711e9			0.108006
$67$	−4.17965e10	−	4.17965e10i	−0.462052	−	0.462052i	0.437276	−	0.899327i	$-0.355943\pi$
$67$	−4.17965e10	−	4.17965e10i	−0.462052	−	0.462052i	−0.899327	+	0.437276i	$0.855943\pi$
$68$	3.20376e10	−	3.20376e10i	0.324046	−	0.324046i
$69$		−	1.31230e10i		−	0.121601i
$70$	5.75261e10	+	1.44987e10i	0.488964	+	0.123237i
$71$	−3.51901e10			−0.274708			−0.137354	−	0.990522i	$-0.543860\pi$
$71$	−3.51901e10			−0.274708			−0.137354	+	0.990522i	$0.543860\pi$
$72$	3.43653e10	+	3.43653e10i	0.246675	+	0.246675i
$73$	1.08806e11	−	1.08806e11i	0.718980	−	0.718980i	−0.249416	−	0.968396i	$-0.580239\pi$
$73$	1.08806e11	−	1.08806e11i	0.718980	−	0.718980i	0.968396	+	0.249416i	$0.0802387\pi$
$74$		−	5.09823e10i		−	0.310477i
$75$	−1.96580e10	+	5.90064e9i	−0.110452	+	0.0331537i
$76$	−2.98730e10			−0.155023
$77$	1.39204e11	+	1.39204e11i	0.667894	+	0.667894i
$78$	1.73752e10	−	1.73752e10i	0.0771548	−	0.0771548i
$79$		−	1.31009e11i		−	0.538939i	−0.963009	−	0.269470i	$-0.913152\pi$
$79$		−	1.31009e11i		−	0.538939i	0.963009	−	0.269470i	$-0.0868484\pi$
$80$	−1.60166e10	+	6.35487e10i	−0.0610986	+	0.242419i
$81$	−2.71212e11			−0.960281
$82$	−1.72343e10	−	1.72343e10i	−0.0566905	−	0.0566905i
$83$	1.61869e11	−	1.61869e11i	0.495102	−	0.495102i	−0.414807	−	0.909909i	$-0.636151\pi$
$83$	1.61869e11	−	1.61869e11i	0.495102	−	0.495102i	0.909909	+	0.414807i	$0.136151\pi$
$84$		−	1.44450e10i		−	0.0411188i
$85$	−2.96752e11	+	1.77279e11i	−0.786829	+	0.470049i
$86$	−5.00660e11			−1.23752
$87$	−3.17756e9	−	3.17756e9i	−0.00732787	−	0.00732787i
$88$	−1.53778e11	+	1.53778e11i	−0.331129	+	0.331129i
$89$			8.98485e11i			1.80789i	0.427654	+	0.903943i	$0.359340\pi$
$89$			8.98485e11i			1.80789i	−0.427654	+	0.903943i	$0.640660\pi$
$90$	−1.90159e11	−	3.18313e11i	−0.357818	−	0.598962i
$91$	5.41878e11			0.954230
$92$	2.26055e11	+	2.26055e11i	0.372810	+	0.372810i
$93$	−8.05719e10	+	8.05719e10i	−0.124533	+	0.124533i
$94$		−	3.66966e11i		−	0.531935i
$95$	2.21002e11	+	5.57007e10i	0.300645	+	0.0757738i
$96$	1.59572e10			0.0203859
$97$	−3.98581e11	−	3.98581e11i	−0.478505	−	0.478505i	0.426149	−	0.904653i	$-0.359870\pi$
$97$	−3.98581e11	−	3.98581e11i	−0.478505	−	0.478505i	−0.904653	+	0.426149i	$0.859870\pi$
$98$	−2.17675e11	+	2.17675e11i	−0.245727	+	0.245727i
$99$		−	1.23042e12i		−	1.30690i
$100$	2.36983e11	−	4.40271e11i	0.236983	−	0.440271i
$101$	1.57852e12			1.48704			0.743520	−	0.668714i	$-0.233155\pi$
$101$	1.57852e12			1.48704			0.743520	+	0.668714i	$0.233155\pi$
$102$	5.95152e10	+	5.95152e10i	0.0528478	+	0.0528478i
$103$	5.59456e11	−	5.59456e11i	0.468536	−	0.468536i	−0.432904	−	0.901440i	$-0.642511\pi$
$103$	5.59456e11	−	5.59456e11i	0.468536	−	0.468536i	0.901440	+	0.432904i	$0.142511\pi$
$104$			5.98608e11i			0.473089i
$105$	−2.69338e10	+	1.06864e11i	−0.0200984	+	0.0797439i
$106$	6.50644e11			0.458679
$107$	−8.66153e11	−	8.66153e11i	−0.577154	−	0.577154i	0.356964	−	0.934118i	$-0.383812\pi$
$107$	−8.66153e11	−	8.66153e11i	−0.577154	−	0.577154i	−0.934118	+	0.356964i	$0.883812\pi$
$108$	−1.28539e11	+	1.28539e11i	−0.0810014	+	0.0810014i
$109$			2.03012e12i			1.21049i	0.796037	+	0.605247i	$0.206926\pi$
$109$			2.03012e12i			1.21049i	−0.796037	+	0.605247i	$0.793074\pi$
$110$	1.42438e12	−	8.50922e11i	0.804028	−	0.480323i
$111$	9.47081e10			0.0506348
$112$	2.48828e11	+	2.48828e11i	0.126064	+	0.126064i
$113$	−2.69479e12	+	2.69479e12i	−1.29436	+	1.29436i	−0.362290	+	0.932065i	$0.618005\pi$
$113$	−2.69479e12	+	2.69479e12i	−1.29436	+	1.29436i	−0.932065	+	0.362290i	$0.881995\pi$
$114$		−	5.54941e10i		−	0.0252824i
$115$	−1.25087e12	−	2.09386e12i	−0.540784	−	0.905235i
$116$	1.09473e11			0.0449322
$117$	−2.39482e12	−	2.39482e12i	−0.933595	−	0.933595i
$118$	−1.83330e12	+	1.83330e12i	−0.679113	+	0.679113i
$119$			1.85609e12i			0.653608i
$120$	−1.18052e11	−	2.97536e10i	−0.0395355	−	0.00996441i
$121$	2.36745e12			0.754342
$122$	3.03175e12	+	3.03175e12i	0.919464	+	0.919464i
$123$	3.20156e10	−	3.20156e10i	0.00924550	−	0.00924550i
$124$		−	2.77585e12i		−	0.763600i
$125$	−2.57414e12	+	2.81527e12i	−0.674794	+	0.738006i
$126$	−1.99095e12			−0.497549
$127$	−3.64991e12	−	3.64991e12i	−0.869880	−	0.869880i	0.122579	−	0.992459i	$-0.460884\pi$
$127$	−3.64991e12	−	3.64991e12i	−0.869880	−	0.869880i	−0.992459	+	0.122579i	$0.960884\pi$
$128$	−2.74878e11	+	2.74878e11i	−0.0625000	+	0.0625000i
$129$		−	9.30059e11i		−	0.201824i
$130$	1.11615e12	−	4.42853e12i	0.231241	−	0.917486i
$131$	7.99465e12			1.58187			0.790936	−	0.611899i	$-0.209594\pi$
$131$	7.99465e12			1.58187			0.790936	+	0.611899i	$0.209594\pi$
$132$	−2.85668e11	−	2.85668e11i	−0.0540029	−	0.0540029i
$133$	8.65342e11	−	8.65342e11i	0.156343	−	0.156343i
$134$			2.67497e12i			0.462052i
$135$	1.19061e12	−	7.11266e11i	0.196683	−	0.117498i
$136$	−2.05041e12			−0.324046
$137$	4.94921e12	+	4.94921e12i	0.748535	+	0.748535i	0.974204	−	0.225669i	$-0.0724568\pi$
$137$	4.94921e12	+	4.94921e12i	0.748535	+	0.748535i	−0.225669	+	0.974204i	$0.572457\pi$
$138$	−4.19935e11	+	4.19935e11i	−0.0608005	+	0.0608005i
$139$			5.34137e12i			0.740567i	0.928919	+	0.370283i	$0.120739\pi$
$139$			5.34137e12i			0.740567i	−0.928919	+	0.370283i	$0.879261\pi$
$140$	−1.37688e12	−	2.30480e12i	−0.182863	−	0.306101i
$141$	6.81700e11			0.0867519
$142$	1.12608e12	+	1.12608e12i	0.137354	+	0.137354i
$143$	1.07163e13	−	1.07163e13i	1.25323	−	1.25323i
$144$		−	2.19938e12i		−	0.246675i
$145$	−8.09882e11	−	2.04121e11i	−0.0871393	−	0.0219623i
$146$	−6.96360e12			−0.718980
$147$	−4.04368e11	−	4.04368e11i	−0.0400749	−	0.0400749i
$148$	−1.63143e12	+	1.63143e12i	−0.155238	+	0.155238i
$149$			1.91205e12i			0.174736i	0.996176	+	0.0873679i	$0.0278456\pi$
$149$			1.91205e12i			0.174736i	−0.996176	+	0.0873679i	$0.972154\pi$
$150$	8.17877e11	+	4.40236e11i	0.0718027	+	0.0386490i
$151$	−1.03879e13			−0.876327			−0.438164	−	0.898895i	$-0.644371\pi$
$151$	−1.03879e13			−0.876327			−0.438164	+	0.898895i	$0.644371\pi$
$152$	9.55937e11	+	9.55937e11i	0.0775117	+	0.0775117i
$153$	8.20297e12	−	8.20297e12i	0.639473	−	0.639473i
$154$		−	8.90906e12i		−	0.667894i
$155$	−5.17580e12	+	2.05358e13i	−0.373239	+	1.48089i
$156$	−1.11201e12			−0.0771548
$157$	−5.32378e12	−	5.32378e12i	−0.355486	−	0.355486i	0.506660	−	0.862146i	$-0.330880\pi$
$157$	−5.32378e12	−	5.32378e12i	−0.355486	−	0.355486i	−0.862146	+	0.506660i	$0.830880\pi$
$158$	−4.19230e12	+	4.19230e12i	−0.269470	+	0.269470i
$159$			1.20868e12i			0.0748047i
$160$	2.54609e12	−	1.52103e12i	0.151759	−	0.0906602i
$161$	−1.30964e13			−0.751965
$162$	8.67877e12	+	8.67877e12i	0.480140	+	0.480140i
$163$	−1.54050e13	+	1.54050e13i	−0.821365	+	0.821365i	−0.986304	−	0.164938i	$-0.947257\pi$
$163$	−1.54050e13	+	1.54050e13i	−0.821365	+	0.821365i	0.164938	+	0.986304i	$0.447257\pi$
$164$			1.10299e12i			0.0566905i
$165$	1.58073e12	+	2.64603e12i	0.0783346	+	0.131127i
$166$	−1.03596e13			−0.495102
$167$	−4.16031e12	−	4.16031e12i	−0.191790	−	0.191790i	0.604679	−	0.796469i	$-0.293301\pi$
$167$	−4.16031e12	−	4.16031e12i	−0.191790	−	0.191790i	−0.796469	+	0.604679i	$0.793301\pi$
$168$	−4.62239e11	+	4.62239e11i	−0.0205594	+	0.0205594i
$169$		−	1.84173e13i		−	0.790505i
$170$	1.51690e13	+	3.82315e12i	0.628439	+	0.158390i
$171$	−7.64874e12			−0.305924
$172$	1.60211e13	+	1.60211e13i	0.618760	+	0.618760i
$173$	1.69171e13	−	1.69171e13i	0.631030	−	0.631030i	−0.317297	−	0.948326i	$-0.602775\pi$
$173$	1.69171e13	−	1.69171e13i	0.631030	−	0.631030i	0.948326	+	0.317297i	$0.102775\pi$
$174$			2.03364e11i			0.00732787i
$175$	5.88871e12	+	1.96183e13i	0.205018	+	0.683019i
$176$	9.84177e12			0.331129
$177$	−3.40566e12	−	3.40566e12i	−0.110755	−	0.110755i
$178$	2.87515e13	−	2.87515e13i	0.903943	−	0.903943i
$179$		−	4.51000e13i		−	1.37107i	−0.728041	−	0.685533i	$-0.759569\pi$
$179$		−	4.51000e13i		−	1.37107i	0.728041	−	0.685533i	$-0.240431\pi$
$180$	−4.10093e12	+	1.62711e13i	−0.120572	+	0.478390i
$181$	1.58853e13			0.451777			0.225889	−	0.974153i	$-0.427471\pi$
$181$	1.58853e13			0.451777			0.225889	+	0.974153i	$0.427471\pi$
$182$	−1.73401e13	−	1.73401e13i	−0.477115	−	0.477115i
$183$	−5.63198e12	+	5.63198e12i	−0.149953	+	0.149953i
$184$		−	1.44675e13i		−	0.372810i
$185$	1.51113e13	−	9.02746e12i	0.376940	−	0.225183i
$186$	5.15660e12			0.124533
$187$	3.67065e13	+	3.67065e13i	0.858408	+	0.858408i
$188$	−1.17429e13	+	1.17429e13i	−0.265968	+	0.265968i
$189$		−	7.44687e12i		−	0.163382i
$190$	−5.28963e12	−	8.85448e12i	−0.112436	−	0.188209i
$191$	−3.46025e13			−0.712701			−0.356350	−	0.934352i	$-0.615979\pi$
$191$	−3.46025e13			−0.712701			−0.356350	+	0.934352i	$0.615979\pi$
$192$	−5.10631e11	−	5.10631e11i	−0.0101930	−	0.0101930i
$193$	−7.29983e12	+	7.29983e12i	−0.141244	+	0.141244i	−0.774193	−	0.632949i	$-0.781844\pi$
$193$	−7.29983e12	+	7.29983e12i	−0.141244	+	0.141244i	0.632949	+	0.774193i	$0.281844\pi$
$194$			2.55092e13i			0.478505i
$195$	8.22673e12	+	2.07344e12i	0.149630	+	0.0377124i
$196$	1.39312e13			0.245727
$197$	−4.95012e13	−	4.95012e13i	−0.846873	−	0.846873i	0.142868	−	0.989742i	$-0.454367\pi$
$197$	−4.95012e13	−	4.95012e13i	−0.846873	−	0.846873i	−0.989742	+	0.142868i	$0.954367\pi$
$198$	−3.93735e13	+	3.93735e13i	−0.653451	+	0.653451i
$199$			1.16610e14i			1.87766i	0.344386	+	0.938828i	$0.388087\pi$
$199$			1.16610e14i			1.87766i	−0.344386	+	0.938828i	$0.611913\pi$
$200$	−2.16722e13	+	6.50521e12i	−0.338627	+	0.101644i
$201$	−4.96921e12			−0.0753548
$202$	−5.05127e13	−	5.05127e13i	−0.743520	−	0.743520i
$203$	−3.17113e12	+	3.17113e12i	−0.0453146	+	0.0453146i
$204$		−	3.80897e12i		−	0.0528478i
$205$	2.05662e12	−	8.16000e12i	0.0277097	−	0.109943i
$206$	−3.58052e13			−0.468536
$207$	5.78795e13	+	5.78795e13i	0.735704	+	0.735704i
$208$	1.91555e13	−	1.91555e13i	0.236544	−	0.236544i
$209$		−	3.42265e13i		−	0.410662i
$210$	4.28154e12	−	2.55778e12i	0.0499211	−	0.0298227i
$211$	3.42858e13			0.388525			0.194263	−	0.980950i	$-0.437769\pi$
$211$	3.42858e13			0.388525			0.194263	+	0.980950i	$0.437769\pi$
$212$	−2.08206e13	−	2.08206e13i	−0.229339	−	0.229339i
$213$	−2.09189e12	+	2.09189e12i	−0.0224007	+	0.0224007i
$214$			5.54338e13i			0.577154i
$215$	−8.86522e13	−	1.48398e14i	−0.897550	−	1.50244i
$216$	8.22650e12			0.0810014
$217$	8.04090e13	+	8.04090e13i	0.770098	+	0.770098i
$218$	6.49639e13	−	6.49639e13i	0.605247	−	0.605247i
$219$		−	1.29361e13i		−	0.117257i
$220$	−7.28098e13	−	1.83508e13i	−0.642175	−	0.161852i
$221$	1.42887e14			1.22642
$222$	−3.03066e12	−	3.03066e12i	−0.0253174	−	0.0253174i
$223$	−6.17679e13	+	6.17679e13i	−0.502265	+	0.502265i	−0.912141	−	0.409876i	$-0.865572\pi$
$223$	−6.17679e13	+	6.17679e13i	−0.502265	+	0.502265i	0.409876	+	0.912141i	$0.365572\pi$
$224$		−	1.59250e13i		−	0.126064i
$225$	6.06777e13	−	1.12728e14i	0.467664	−	0.868833i
$226$	1.72466e14			1.29436
$227$	−5.96352e13	−	5.96352e13i	−0.435861	−	0.435861i	0.454756	−	0.890616i	$-0.349727\pi$
$227$	−5.96352e13	−	5.96352e13i	−0.435861	−	0.435861i	−0.890616	+	0.454756i	$0.849727\pi$
$228$	−1.77581e12	+	1.77581e12i	−0.0126412	+	0.0126412i
$229$			6.56031e13i			0.454895i	0.973790	+	0.227448i	$0.0730381\pi$
$229$			6.56031e13i			0.454895i	−0.973790	+	0.227448i	$0.926962\pi$
$230$	−2.69759e13	+	1.07031e14i	−0.182225	+	0.723009i
$231$	1.65501e13			0.108925
$232$	−3.50312e12	−	3.50312e12i	−0.0224661	−	0.0224661i
$233$	−7.61404e13	+	7.61404e13i	−0.475860	+	0.475860i	−0.903805	−	0.427945i	$-0.859238\pi$
$233$	−7.61404e13	+	7.61404e13i	−0.475860	+	0.475860i	0.427945	+	0.903805i	$0.359238\pi$
$234$			1.53269e14i			0.933595i
$235$	1.08770e14	−	6.49789e13i	0.645807	−	0.385803i
$236$	1.17331e14			0.679113
$237$	−7.78790e12	−	7.78790e12i	−0.0439471	−	0.0439471i
$238$	5.93949e13	−	5.93949e13i	0.326804	−	0.326804i
$239$		−	4.35416e13i		−	0.233624i	−0.993154	−	0.116812i	$-0.962733\pi$
$239$		−	4.35416e13i		−	0.233624i	0.993154	−	0.116812i	$-0.0372674\pi$
$240$	2.82556e12	+	4.72979e12i	0.0147855	+	0.0247499i
$241$	−3.05059e14			−1.55697			−0.778486	−	0.627662i	$-0.784012\pi$
$241$	−3.05059e14			−1.55697			−0.778486	+	0.627662i	$0.784012\pi$
$242$	−7.57583e13	−	7.57583e13i	−0.377171	−	0.377171i
$243$	−4.94772e13	+	4.94772e13i	−0.240308	+	0.240308i
$244$		−	1.94032e14i		−	0.919464i
$245$	−1.03064e14	−	2.59759e13i	−0.476550	−	0.120108i
$246$	−2.04900e12			−0.00924550
$247$	−6.66165e13	−	6.66165e13i	−0.293360	−	0.293360i
$248$	−8.88272e13	+	8.88272e13i	−0.381800	+	0.381800i
$249$		−	1.92447e13i		−	0.0807449i
$250$	1.72461e14	−	7.71631e12i	0.706400	−	0.0316060i
$251$	6.24088e13			0.249577			0.124788	−	0.992183i	$-0.460175\pi$
$251$	6.24088e13			0.249577			0.124788	+	0.992183i	$0.460175\pi$
$252$	6.37103e13	+	6.37103e13i	0.248775	+	0.248775i
$253$	−2.58999e14	+	2.58999e14i	−0.987585	+	0.987585i
$254$			2.33594e14i			0.869880i
$255$	−7.10214e12	+	2.81789e13i	−0.0258314	+	0.102490i
$256$	1.75922e13			0.0625000
$257$	5.89058e13	+	5.89058e13i	0.204437	+	0.204437i	0.801898	−	0.597461i	$-0.203824\pi$
$257$	5.89058e13	+	5.89058e13i	0.204437	+	0.204437i	−0.597461	+	0.801898i	$0.703824\pi$
$258$	−2.97619e13	+	2.97619e13i	−0.100912	+	0.100912i
$259$		−	9.45165e13i		−	0.313119i
$260$	−1.77430e14	+	1.05996e14i	−0.574363	+	0.343123i
$261$	2.80295e13			0.0886693
$262$	−2.55829e14	−	2.55829e14i	−0.790936	−	0.790936i
$263$	3.16432e14	−	3.16432e14i	0.956193	−	0.956193i	−0.0428873	−	0.999080i	$-0.513656\pi$
$263$	3.16432e14	−	3.16432e14i	0.956193	−	0.956193i	0.999080	+	0.0428873i	$0.0136557\pi$
$264$			1.82827e13i			0.0540029i
$265$	1.15210e14	+	1.92854e14i	0.332671	+	0.556868i
$266$	−5.53819e13			−0.156343
$267$	5.34107e13	+	5.34107e13i	0.147422	+	0.147422i
$268$	8.55991e13	−	8.55991e13i	0.231026	−	0.231026i
$269$			6.27369e13i			0.165581i	0.996567	+	0.0827903i	$0.0263832\pi$
$269$			6.27369e13i			0.165581i	−0.996567	+	0.0827903i	$0.973617\pi$
$270$	−6.08600e13	−	1.53390e13i	−0.157090	−	0.0395926i
$271$	−2.92212e14			−0.737705			−0.368853	−	0.929488i	$-0.620249\pi$
$271$	−2.92212e14			−0.737705			−0.368853	+	0.929488i	$0.620249\pi$
$272$	6.56130e13	+	6.56130e13i	0.162023	+	0.162023i
$273$	3.22121e13	−	3.22121e13i	0.0778114	−	0.0778114i
$274$		−	3.16749e14i		−	0.748535i
$275$	5.04433e14	+	2.71520e14i	1.16629	+	0.627777i
$276$	2.68758e13			0.0608005
$277$	4.26675e14	+	4.26675e14i	0.944535	+	0.944535i	0.998541	−	0.0540053i	$-0.0171988\pi$
$277$	4.26675e14	+	4.26675e14i	0.944535	+	0.944535i	−0.0540053	+	0.998541i	$0.517199\pi$
$278$	1.70924e14	−	1.70924e14i	0.370283	−	0.370283i
$279$		−	7.10733e14i		−	1.50689i
$280$	−2.96934e13	+	1.17814e14i	−0.0616186	+	0.244482i
$281$	3.02979e14			0.615424			0.307712	−	0.951480i	$-0.400437\pi$
$281$	3.02979e14			0.615424			0.307712	+	0.951480i	$0.400437\pi$
$282$	−2.18144e13	−	2.18144e13i	−0.0433759	−	0.0433759i
$283$	3.57301e14	−	3.57301e14i	0.695529	−	0.695529i	−0.267914	−	0.963443i	$-0.586334\pi$
$283$	3.57301e14	−	3.57301e14i	0.695529	−	0.695529i	0.963443	+	0.267914i	$0.0863343\pi$
$284$		−	7.20694e13i		−	0.137354i
$285$	1.64487e13	−	9.82638e12i	0.0306946	−	0.0183368i
$286$	−6.85845e14			−1.25323
$287$	−3.19508e13	−	3.19508e13i	−0.0571730	−	0.0571730i
$288$	−7.03802e13	+	7.03802e13i	−0.123338	+	0.123338i
$289$		−	9.31923e13i		−	0.159953i
$290$	1.93844e13	+	3.24481e13i	0.0325885	+	0.0545508i
$291$	−4.73876e13			−0.0780380
$292$	2.22835e14	+	2.22835e14i	0.359490	+	0.359490i
$293$	5.09282e13	−	5.09282e13i	0.0804920	−	0.0804920i	−0.665715	−	0.746207i	$-0.731873\pi$
$293$	5.09282e13	−	5.09282e13i	0.0804920	−	0.0804920i	0.746207	+	0.665715i	$0.231873\pi$
$294$			2.58795e13i			0.0400749i
$295$	−8.68022e14	−	2.18774e14i	−1.31704	−	0.331943i
$296$	1.04412e14			0.155238
$297$	−1.47271e14	−	1.47271e14i	−0.214575	−	0.214575i
$298$	6.11856e13	−	6.11856e13i	0.0873679	−	0.0873679i
$299$			1.00820e15i			1.41098i
$300$	−1.20845e13	−	4.02596e13i	−0.0165768	−	0.0552258i
$301$	−9.28179e14			−1.24805
$302$	3.32413e14	+	3.32413e14i	0.438164	+	0.438164i
$303$	9.38358e13	−	9.38358e13i	0.121259	−	0.121259i
$304$		−	6.11799e13i		−	0.0775117i
$305$	−3.61789e14	+	1.43546e15i	−0.449424	+	1.78316i
$306$	−5.24990e14			−0.639473
$307$	2.54088e14	+	2.54088e14i	0.303496	+	0.303496i	0.842380	−	0.538884i	$-0.181154\pi$
$307$	2.54088e14	+	2.54088e14i	0.303496	+	0.303496i	−0.538884	+	0.842380i	$0.681154\pi$
$308$	−2.85090e14	+	2.85090e14i	−0.333947	+	0.333947i
$309$		−	6.65141e13i		−	0.0764122i
$310$	8.22772e14	−	4.91521e14i	0.927064	−	0.553825i
$311$	−6.59240e14			−0.728587			−0.364293	−	0.931284i	$-0.618689\pi$
$311$	−6.59240e14			−0.728587			−0.364293	+	0.931284i	$0.618689\pi$
$312$	3.55845e13	+	3.55845e13i	0.0385774	+	0.0385774i
$313$	4.43077e14	−	4.43077e14i	0.471209	−	0.471209i	−0.431097	−	0.902306i	$-0.641873\pi$
$313$	4.43077e14	−	4.43077e14i	0.471209	−	0.471209i	0.902306	+	0.431097i	$0.141873\pi$
$314$			3.40722e14i			0.355486i
$315$	−3.52538e14	−	5.90124e14i	−0.360863	−	0.604060i
$316$	2.68307e14			0.269470
$317$	−1.11031e15	−	1.11031e15i	−1.09418	−	1.09418i	−0.995077	−	0.0991001i	$-0.968404\pi$
$317$	−1.11031e15	−	1.11031e15i	−1.09418	−	1.09418i	−0.0991001	−	0.995077i	$-0.531596\pi$
$318$	3.86778e13	−	3.86778e13i	0.0374023	−	0.0374023i
$319$			1.25426e14i			0.119027i
$320$	−1.30148e14	−	3.28021e13i	−0.121209	−	0.0305493i
$321$	−1.02978e14			−0.0941266
$322$	4.19086e14	+	4.19086e14i	0.375983	+	0.375983i
$323$	2.28181e14	−	2.28181e14i	0.200939	−	0.200939i
$324$		−	5.55441e14i		−	0.480140i
$325$	1.51027e15	−	4.53330e14i	1.28161	−	0.384693i
$326$	9.85921e14			0.821365
$327$	1.20681e14	+	1.20681e14i	0.0987082	+	0.0987082i
$328$	3.52958e13	−	3.52958e13i	0.0283453	−	0.0283453i
$329$		−	6.80322e14i		−	0.536462i
$330$	3.40896e13	−	1.35256e14i	0.0263960	−	0.104731i
$331$	2.05156e15			1.55997			0.779985	−	0.625798i	$-0.215227\pi$
$331$	2.05156e15			1.55997			0.779985	+	0.625798i	$0.215227\pi$
$332$	3.31508e14	+	3.31508e14i	0.247551	+	0.247551i
$333$	−4.17715e14	+	4.17715e14i	−0.306348	+	0.306348i
$334$			2.66260e14i			0.191790i
$335$	−7.92872e14	+	4.73659e14i	−0.560963	+	0.335118i
$336$	2.95833e13			0.0205594
$337$	−1.38553e15	−	1.38553e15i	−0.945884	−	0.945884i	0.0527249	−	0.998609i	$-0.483209\pi$
$337$	−1.38553e15	−	1.38553e15i	−0.945884	−	0.945884i	−0.998609	+	0.0527249i	$0.983209\pi$
$338$	−5.89352e14	+	5.89352e14i	−0.395253	+	0.395253i
$339$			3.20385e14i			0.211093i
$340$	−3.63067e14	−	6.07749e14i	−0.235025	−	0.393415i
$341$	3.18038e15			2.02280
$342$	2.44760e14	+	2.44760e14i	0.152962	+	0.152962i
$343$	−1.22469e15	+	1.22469e15i	−0.752073	+	0.752073i
$344$		−	1.02535e15i		−	0.618760i
$345$	−1.98828e14	−	5.01122e13i	−0.117914	−	0.0297186i
$346$	−1.08270e15			−0.631030
$347$	5.07241e14	+	5.07241e14i	0.290561	+	0.290561i	0.837302	−	0.546741i	$-0.184132\pi$
$347$	5.07241e14	+	5.07241e14i	0.290561	+	0.290561i	−0.546741	+	0.837302i	$0.684132\pi$
$348$	6.50763e12	−	6.50763e12i	0.00366393	−	0.00366393i
$349$			5.27073e14i			0.291688i	0.989308	+	0.145844i	$0.0465898\pi$
$349$			5.27073e14i			0.291688i	−0.989308	+	0.145844i	$0.953410\pi$
$350$	4.39346e14	−	8.16223e14i	0.239000	−	0.444018i
$351$	−5.73282e14			−0.306567
$352$	−3.14937e14	−	3.14937e14i	−0.165564	−	0.165564i
$353$	−2.96169e13	+	2.96169e13i	−0.0153070	+	0.0153070i	−0.714719	−	0.699412i	$-0.753445\pi$
$353$	−2.96169e13	+	2.96169e13i	−0.0153070	+	0.0153070i	0.699412	+	0.714719i	$0.253445\pi$
$354$			2.17962e14i			0.110755i
$355$	−1.34379e14	+	5.33172e14i	−0.0671370	+	0.266377i
$356$	−1.84010e15			−0.903943
$357$	1.10336e14	+	1.10336e14i	0.0532976	+	0.0532976i
$358$	−1.44320e15	+	1.44320e15i	−0.685533	+	0.685533i
$359$			2.28760e15i			1.06859i	0.845297	+	0.534297i	$0.179423\pi$
$359$			2.28760e15i			1.06859i	−0.845297	+	0.534297i	$0.820577\pi$
$360$	6.51905e14	−	3.89446e14i	0.299481	−	0.178909i
$361$	2.00055e15			0.903871
$362$	−5.08330e14	−	5.08330e14i	−0.225889	−	0.225889i
$363$	1.40734e14	−	1.40734e14i	0.0615118	−	0.0615118i
$364$			1.10977e15i			0.477115i
$365$	−1.23305e15	−	2.06404e15i	−0.521463	−	0.872892i
$366$	3.60447e14			0.149953
$367$	−2.81458e15	−	2.81458e15i	−1.15191	−	1.15191i	−0.986170	−	0.165739i	$-0.946999\pi$
$367$	−2.81458e15	−	2.81458e15i	−1.15191	−	1.15191i	−0.165739	−	0.986170i	$-0.553001\pi$
$368$	−4.62961e14	+	4.62961e14i	−0.186405	+	0.186405i
$369$			2.82413e14i			0.111873i
$370$	−7.72442e14	−	1.94684e14i	−0.301062	−	0.0758788i
$371$	1.20624e15			0.462582
$372$	−1.65011e14	−	1.65011e14i	−0.0622667	−	0.0622667i
$373$	−7.01497e14	+	7.01497e14i	−0.260479	+	0.260479i	−0.825249	−	0.564770i	$-0.808965\pi$
$373$	−7.01497e14	+	7.01497e14i	−0.260479	+	0.260479i	0.564770	+	0.825249i	$0.308965\pi$
$374$		−	2.34922e15i		−	0.858408i
$375$	1.43343e13	+	3.20375e14i	0.00515454	+	0.115205i
$376$	7.51546e14			0.265968
$377$	2.44123e14	+	2.44123e14i	0.0850276	+	0.0850276i
$378$	−2.38300e14	+	2.38300e14i	−0.0816908	+	0.0816908i
$379$			3.39861e15i			1.14674i	0.819295	+	0.573372i	$0.194365\pi$
$379$			3.39861e15i			1.14674i	−0.819295	+	0.573372i	$0.805635\pi$
$380$	−1.14075e14	+	4.52612e14i	−0.0378869	+	0.150323i
$381$	−4.33940e14			−0.141866
$382$	1.10728e15	+	1.10728e15i	0.356350	+	0.356350i
$383$	1.42429e14	−	1.42429e14i	0.0451238	−	0.0451238i	−0.684185	−	0.729309i	$-0.739842\pi$
$383$	1.42429e14	−	1.42429e14i	0.0451238	−	0.0451238i	0.729309	+	0.684185i	$0.239842\pi$
$384$			3.26804e13i			0.0101930i
$385$	2.64068e15	−	1.57753e15i	0.810870	−	0.484411i
$386$	4.67189e14			0.141244
$387$	4.10208e15	+	4.10208e15i	1.22106	+	1.22106i
$388$	8.16294e14	−	8.16294e14i	0.239252	−	0.239252i
$389$		−	5.00987e15i		−	1.44587i	−0.690916	−	0.722935i	$-0.742793\pi$
$389$		−	5.00987e15i		−	1.44587i	0.690916	−	0.722935i	$-0.257207\pi$
$390$	−1.96905e14	−	3.29606e14i	−0.0559590	−	0.0936714i
$391$	−3.45338e15			−0.966460
$392$	−4.45799e14	−	4.45799e14i	−0.122863	−	0.122863i
$393$	4.75244e14	−	4.75244e14i	0.128992	−	0.128992i
$394$			3.16808e15i			0.846873i
$395$	−1.98495e15	−	5.00281e14i	−0.522597	−	0.131714i
$396$	2.51990e15			0.653451
$397$	−3.66883e14	−	3.66883e14i	−0.0937097	−	0.0937097i	0.658698	−	0.752408i	$-0.271108\pi$
$397$	−3.66883e14	−	3.66883e14i	−0.0937097	−	0.0937097i	−0.752408	+	0.658698i	$0.771108\pi$
$398$	3.73151e15	−	3.73151e15i	0.938828	−	0.938828i
$399$		−	1.02881e14i		−	0.0254975i
$400$	9.01676e14	+	4.85342e14i	0.220136	+	0.118492i
$401$	−2.47959e15			−0.596368			−0.298184	−	0.954508i	$-0.596381\pi$
$401$	−2.47959e15			−0.596368			−0.298184	+	0.954508i	$0.596381\pi$
$402$	1.59015e14	+	1.59015e14i	0.0376774	+	0.0376774i
$403$	6.19012e15	−	6.19012e15i	1.44500	−	1.44500i
$404$			3.23282e15i			0.743520i
$405$	−1.03567e15	+	4.10918e15i	−0.234687	+	0.931161i
$406$	2.02952e14			0.0453146
$407$	−1.86919e15	−	1.86919e15i	−0.411231	−	0.411231i
$408$	−1.21887e14	+	1.21887e14i	−0.0264239	+	0.0264239i
$409$		−	1.83428e15i		−	0.391855i	−0.980618	−	0.195927i	$-0.937228\pi$
$409$		−	1.83428e15i		−	0.391855i	0.980618	−	0.195927i	$-0.0627717\pi$
$410$	−3.26932e14	+	1.95308e14i	−0.0688263	+	0.0411166i
$411$	5.88414e14			0.122077
$412$	1.14577e15	+	1.14577e15i	0.234268	+	0.234268i
$413$	−3.39878e15	+	3.39878e15i	−0.684892	+	0.684892i
$414$		−	3.70429e15i		−	0.735704i
$415$	−1.83438e15	−	3.07063e15i	−0.359088	−	0.601089i
$416$	−1.22595e15			−0.236544
$417$	3.17520e14	+	3.17520e14i	0.0603885	+	0.0603885i
$418$	−1.09525e15	+	1.09525e15i	−0.205331	+	0.205331i
$419$		−	1.64549e15i		−	0.304097i	−0.988373	−	0.152048i	$-0.951413\pi$
$419$		−	1.64549e15i		−	0.304097i	0.988373	−	0.152048i	$-0.0485870\pi$
$420$	−2.18858e14	−	5.51604e13i	−0.0398719	−	0.0100492i
$421$	−4.22560e15			−0.758919			−0.379459	−	0.925208i	$-0.623890\pi$
$421$	−4.22560e15			−0.758919			−0.379459	+	0.925208i	$0.623890\pi$
$422$	−1.09714e15	−	1.09714e15i	−0.194263	−	0.194263i
$423$	−3.00668e15	+	3.00668e15i	−0.524861	+	0.524861i
$424$			1.33252e15i			0.229339i
$425$	1.55279e15	+	5.17312e15i	0.263499	+	0.877847i
$426$	1.33881e14			0.0224007
$427$	5.62060e15	+	5.62060e15i	0.927289	+	0.927289i
$428$	1.77388e15	−	1.77388e15i	0.288577	−	0.288577i
$429$		−	1.27407e15i		−	0.204386i
$430$	−1.91185e15	+	7.58559e15i	−0.302443	+	1.19999i
$431$	−1.10167e16			−1.71866			−0.859329	−	0.511423i	$-0.829118\pi$
$431$	−1.10167e16			−1.71866			−0.859329	+	0.511423i	$0.829118\pi$
$432$	−2.63248e14	−	2.63248e14i	−0.0405007	−	0.0405007i
$433$	−3.63481e15	+	3.63481e15i	−0.551512	+	0.551512i	−0.926877	−	0.375365i	$-0.877517\pi$
$433$	−3.63481e15	+	3.63481e15i	−0.551512	+	0.551512i	0.375365	+	0.926877i	$0.377517\pi$
$434$		−	5.14617e15i		−	0.770098i
$435$	−6.02777e13	+	3.60097e13i	−0.00889655	+	0.00531477i
$436$	−4.15769e15			−0.605247
$437$	1.61003e15	+	1.61003e15i	0.231177	+	0.231177i
$438$	−4.13954e14	+	4.13954e14i	−0.0586283	+	0.0586283i
$439$		−	1.02927e15i		−	0.143794i	−0.997412	−	0.0718969i	$-0.977095\pi$
$439$		−	1.02927e15i		−	0.143794i	0.997412	−	0.0718969i	$-0.0229053\pi$
$440$	1.74269e15	+	2.91714e15i	0.240162	+	0.402014i
$441$	3.56697e15			0.484918
$442$	−4.57239e15	−	4.57239e15i	−0.613210	−	0.613210i
$443$	5.98471e15	−	5.98471e15i	0.791810	−	0.791810i	−0.189979	−	0.981788i	$-0.560842\pi$
$443$	5.98471e15	−	5.98471e15i	0.791810	−	0.791810i	0.981788	+	0.189979i	$0.0608419\pi$
$444$			1.93962e14i			0.0253174i
$445$	1.36131e16	+	3.43101e15i	1.75306	+	0.441837i
$446$	3.95314e15			0.502265
$447$	1.13663e14	+	1.13663e14i	0.0142486	+	0.0142486i
$448$	−5.09599e14	+	5.09599e14i	−0.0630319	+	0.0630319i
$449$		−	5.85542e15i		−	0.714628i	−0.933984	−	0.357314i	$-0.883693\pi$
$449$		−	5.85542e15i		−	0.714628i	0.933984	−	0.357314i	$-0.116307\pi$
$450$	−5.54898e15	+	1.66561e15i	−0.668248	+	0.200584i
$451$	−1.26374e15			−0.150175
$452$	−5.51892e15	−	5.51892e15i	−0.647178	−	0.647178i
$453$	−6.17512e14	+	6.17512e14i	−0.0714589	+	0.0714589i
$454$			3.81665e15i			0.435861i
$455$	2.06925e15	−	8.21010e15i	0.233209	−	0.925294i
$456$	1.13652e14			0.0126412
$457$	−7.20985e14	−	7.20985e14i	−0.0791460	−	0.0791460i	0.666426	−	0.745572i	$-0.267823\pi$
$457$	−7.20985e14	−	7.20985e14i	−0.0791460	−	0.0791460i	−0.745572	+	0.666426i	$0.767823\pi$
$458$	2.09930e15	−	2.09930e15i	0.227448	−	0.227448i
$459$		−	1.96366e15i		−	0.209986i
$460$	4.28823e15	−	2.56177e15i	0.452617	−	0.270392i
$461$	6.66525e15			0.694402			0.347201	−	0.937791i	$-0.387132\pi$
$461$	6.66525e15			0.694402			0.347201	+	0.937791i	$0.387132\pi$
$462$	−5.29602e14	−	5.29602e14i	−0.0544625	−	0.0544625i
$463$	1.04215e16	−	1.04215e16i	1.05789	−	1.05789i	0.0596773	−	0.998218i	$-0.480993\pi$
$463$	1.04215e16	−	1.04215e16i	1.05789	−	1.05789i	0.998218	−	0.0596773i	$-0.0190072\pi$
$464$			2.24200e14i			0.0224661i
$465$	9.13083e14	+	1.52844e15i	0.0903218	+	0.151192i
$466$	4.87298e15			0.475860
$467$	1.42258e16	+	1.42258e16i	1.37143	+	1.37143i	0.858325	+	0.513107i	$0.171506\pi$
$467$	1.42258e16	+	1.42258e16i	1.37143	+	1.37143i	0.513107	+	0.858325i	$0.328494\pi$
$468$	4.90460e15	−	4.90460e15i	0.466797	−	0.466797i
$469$			4.95916e15i			0.465984i
$470$	−5.55997e15	−	1.40132e15i	−0.515805	−	0.130002i
$471$	−6.32948e14			−0.0579753
$472$	−3.75460e15	−	3.75460e15i	−0.339556	−	0.339556i
$473$	−1.83559e16	+	1.83559e16i	−1.63911	+	1.63911i
$474$			4.98425e14i			0.0439471i
$475$	1.68786e15	−	3.13574e15i	0.146952	−	0.273010i
$476$	−3.80127e15			−0.326804
$477$	−5.33095e15	−	5.33095e15i	−0.452579	−	0.452579i
$478$	−1.39333e15	+	1.39333e15i	−0.116812	+	0.116812i
$479$		−	1.03779e16i		−	0.859202i	−0.903019	−	0.429601i	$-0.858654\pi$
$479$		−	1.03779e16i		−	0.859202i	0.903019	−	0.429601i	$-0.141346\pi$
$480$	6.09353e13	−	2.41771e14i	0.00498221	−	0.0197677i
$481$	−7.27616e15			−0.587532
$482$	9.76188e15	+	9.76188e15i	0.778486	+	0.778486i
$483$	−7.78522e14	+	7.78522e14i	−0.0613180	+	0.0613180i
$484$			4.84853e15i			0.377171i
$485$	−7.56102e15	+	4.51693e15i	−0.580938	+	0.347050i
$486$	3.16654e15			0.240308
$487$	−1.20111e16	−	1.20111e16i	−0.900347	−	0.900347i	0.0951192	−	0.995466i	$-0.469677\pi$
$487$	−1.20111e16	−	1.20111e16i	−0.900347	−	0.900347i	−0.995466	+	0.0951192i	$0.969677\pi$
$488$	−6.20903e15	+	6.20903e15i	−0.459732	+	0.459732i
$489$			1.83151e15i			0.133954i
$490$	2.46681e15	+	4.12926e15i	0.178221	+	0.298329i
$491$	6.06257e15			0.432681			0.216341	−	0.976318i	$-0.430588\pi$
$491$	6.06257e15			0.432681			0.216341	+	0.976318i	$0.430588\pi$
$492$	6.55679e13	+	6.55679e13i	0.00462275	+	0.00462275i
$493$	−8.36191e14	+	8.36191e14i	−0.0582404	+	0.0582404i
$494$			4.26346e15i			0.293360i
$495$	−1.86423e16	−	4.69857e15i	−1.26727	−	0.319399i
$496$	5.68494e15			0.381800
$497$	2.08766e15	+	2.08766e15i	0.138523	+	0.138523i
$498$	−6.15831e14	+	6.15831e14i	−0.0403725	+	0.0403725i
$499$			2.32445e16i			1.50562i	0.658235	+	0.752812i	$0.271303\pi$
$499$			2.32445e16i			1.50562i	−0.658235	+	0.752812i	$0.728697\pi$
$500$	−5.76567e15	−	5.27183e15i	−0.369003	−	0.337397i
$501$	−4.94622e14			−0.0312786
$502$	−1.99708e15	−	1.99708e15i	−0.124788	−	0.124788i
$503$	−5.32163e15	+	5.32163e15i	−0.328576	+	0.328576i	−0.852045	−	0.523469i	$-0.824638\pi$
$503$	−5.32163e15	+	5.32163e15i	−0.328576	+	0.328576i	0.523469	+	0.852045i	$0.324638\pi$
$504$		−	4.07746e15i		−	0.248775i
$505$	6.02785e15	−	2.39165e16i	0.363424	−	1.44195i
$506$	1.65759e16			0.987585
$507$	−1.09482e15	−	1.09482e15i	−0.0644607	−	0.0644607i
$508$	7.47501e15	−	7.47501e15i	0.434940	−	0.434940i
$509$			1.17956e16i			0.678287i	0.940735	+	0.339144i	$0.110137\pi$
$509$			1.17956e16i			0.678287i	−0.940735	+	0.339144i	$0.889863\pi$
$510$	1.12899e15	−	6.74457e14i	0.0641610	−	0.0383295i
$511$	−1.29099e16			−0.725099
$512$	−5.62950e14	−	5.62950e14i	−0.0312500	−	0.0312500i
$513$	−9.15492e14	+	9.15492e14i	−0.0502285	+	0.0502285i
$514$		−	3.76997e15i		−	0.204437i
$515$	−6.34005e15	−	1.06128e16i	−0.339820	−	0.568835i
$516$	1.90476e15			0.100912
$517$	−1.34542e16	−	1.34542e16i	−0.704556	−	0.704556i
$518$	−3.02453e15	+	3.02453e15i	−0.156559	+	0.156559i
$519$		−	2.01129e15i		−	0.102913i
$520$	9.06963e15	+	2.28588e15i	0.458743	+	0.115620i
$521$	2.57819e16			1.28911			0.644553	−	0.764560i	$-0.277044\pi$
$521$	2.57819e16			1.28911			0.644553	+	0.764560i	$0.277044\pi$
$522$	−8.96946e14	−	8.96946e14i	−0.0443346	−	0.0443346i
$523$	1.24797e16	−	1.24797e16i	0.609812	−	0.609812i	−0.333085	−	0.942897i	$-0.608090\pi$
$523$	1.24797e16	−	1.24797e16i	0.609812	−	0.609812i	0.942897	+	0.333085i	$0.108090\pi$
$524$			1.63730e16i			0.790936i
$525$	1.51627e15	+	8.16158e14i	0.0724137	+	0.0389779i
$526$	−2.02516e16			−0.956193
$527$	2.12029e16	+	2.12029e16i	0.989766	+	0.989766i
$528$	5.85047e14	−	5.85047e14i	0.0270015	−	0.0270015i
$529$		−	2.45218e15i		−	0.111897i
$530$	2.48459e15	−	9.85803e15i	0.112099	−	0.444770i
$531$	3.00417e16			1.34016
$532$	1.77222e15	+	1.77222e15i	0.0781714	+	0.0781714i
$533$	−2.45967e15	+	2.45967e15i	−0.107279	+	0.107279i
$534$		−	3.41829e15i		−	0.147422i
$535$	−1.64308e16	+	9.81570e15i	−0.700706	+	0.418599i
$536$	−5.47834e15			−0.231026
$537$	−2.68099e15	−	2.68099e15i	−0.111802	−	0.111802i
$538$	2.00758e15	−	2.00758e15i	0.0827903	−	0.0827903i
$539$			1.59614e16i			0.650938i
$540$	1.45667e15	+	2.43837e15i	0.0587488	+	0.0983415i
$541$	1.45220e16			0.579218			0.289609	−	0.957145i	$-0.406475\pi$
$541$	1.45220e16			0.579218			0.289609	+	0.957145i	$0.406475\pi$
$542$	9.35080e15	+	9.35080e15i	0.368853	+	0.368853i
$543$	9.44308e14	−	9.44308e14i	0.0368396	−	0.0368396i
$544$		−	4.19923e15i		−	0.162023i
$545$	3.07587e16	+	7.75235e15i	1.17379	+	0.295838i
$546$	−2.06158e15			−0.0778114
$547$	−2.64412e16	−	2.64412e16i	−0.987089	−	0.987089i	0.0128284	−	0.999918i	$-0.495916\pi$
$547$	−2.64412e16	−	2.64412e16i	−0.987089	−	0.987089i	−0.999918	+	0.0128284i	$0.995916\pi$
$548$	−1.01360e16	+	1.01360e16i	−0.374267	+	0.374267i
$549$		−	4.96803e16i		−	1.81447i
$550$	−7.45323e15	−	2.48305e16i	−0.269258	−	0.897035i
$551$	7.79694e14			0.0278622
$552$	−8.60027e14	−	8.60027e14i	−0.0304003	−	0.0304003i
$553$	−7.77215e15	+	7.77215e15i	−0.271763	+	0.271763i
$554$		−	2.73072e16i		−	0.944535i
$555$	3.61658e14	−	1.43494e15i	0.0123749	−	0.0490993i
$556$	−1.09391e16			−0.370283
$557$	−1.22128e16	−	1.22128e16i	−0.408962	−	0.408962i	0.472414	−	0.881377i	$-0.343383\pi$
$557$	−1.22128e16	−	1.22128e16i	−0.408962	−	0.408962i	−0.881377	+	0.472414i	$0.843383\pi$
$558$	−2.27435e16	+	2.27435e16i	−0.753445	+	0.753445i
$559$			7.14539e16i			2.34183i
$560$	4.72022e15	−	2.81984e15i	0.153050	−	0.0914317i
$561$	4.36406e15			0.139995
$562$	−9.69532e15	−	9.69532e15i	−0.307712	−	0.307712i
$563$	3.08347e15	−	3.08347e15i	0.0968253	−	0.0968253i	−0.657035	−	0.753860i	$-0.728190\pi$
$563$	3.08347e15	−	3.08347e15i	0.0968253	−	0.0968253i	0.753860	+	0.657035i	$0.228190\pi$
$564$			1.39612e15i			0.0433759i
$565$	3.05387e16	+	5.11197e16i	0.938772	+	1.57144i
$566$	−2.28672e16			−0.695529
$567$	1.60897e16	+	1.60897e16i	0.484227	+	0.484227i
$568$	−2.30622e15	+	2.30622e15i	−0.0686769	+	0.0686769i
$569$		−	4.92549e16i		−	1.45136i	−0.688031	−	0.725681i	$-0.741525\pi$
$569$		−	4.92549e16i		−	1.45136i	0.688031	−	0.725681i	$-0.258475\pi$
$570$	−8.40801e14	−	2.11913e14i	−0.0245157	−	0.00617887i
$571$	−3.71286e16			−1.07125			−0.535626	−	0.844455i	$-0.679924\pi$
$571$	−3.71286e16			−1.07125			−0.535626	+	0.844455i	$0.679924\pi$
$572$	2.19470e16	+	2.19470e16i	0.626614	+	0.626614i
$573$	−2.05696e15	+	2.05696e15i	−0.0581162	+	0.0581162i
$574$			2.04485e15i			0.0571730i
$575$	−3.65011e16	+	1.09563e16i	−1.00995	+	0.303151i
$576$	4.50433e15			0.123338
$577$	−1.58541e16	−	1.58541e16i	−0.429623	−	0.429623i	0.458877	−	0.888500i	$-0.348252\pi$
$577$	−1.58541e16	−	1.58541e16i	−0.429623	−	0.429623i	−0.888500	+	0.458877i	$0.848252\pi$
$578$	−2.98215e15	+	2.98215e15i	−0.0799766	+	0.0799766i
$579$			8.67882e14i			0.0230350i
$580$	4.18039e14	−	1.65864e15i	0.0109812	−	0.0435696i
$581$	−1.92058e16			−0.499316
$582$	1.51640e15	+	1.51640e15i	0.0390190	+	0.0390190i
$583$	2.38549e16	−	2.38549e16i	0.607527	−	0.607527i
$584$		−	1.42615e16i		−	0.359490i
$585$	−4.54295e16	+	2.71394e16i	−1.13345	+	0.677119i
$586$	−3.25941e15			−0.0804920
$587$	2.04641e16	+	2.04641e16i	0.500224	+	0.500224i	0.911507	−	0.411284i	$-0.134919\pi$
$587$	2.04641e16	+	2.04641e16i	0.500224	+	0.500224i	−0.411284	+	0.911507i	$0.634919\pi$
$588$	8.28145e14	−	8.28145e14i	0.0200375	−	0.0200375i
$589$		−	1.97704e16i		−	0.473504i
$590$	2.07759e16	+	3.47775e16i	0.492548	+	0.824491i
$591$	−5.88523e15			−0.138114
$592$	−3.34117e15	−	3.34117e15i	−0.0776191	−	0.0776191i
$593$	6.50583e15	−	6.50583e15i	0.149615	−	0.149615i	−0.628331	−	0.777946i	$-0.716262\pi$
$593$	6.50583e15	−	6.50583e15i	0.149615	−	0.149615i	0.777946	+	0.628331i	$0.216262\pi$
$594$			9.42537e15i			0.214575i
$595$	2.81220e16	+	7.08778e15i	0.633788	+	0.159738i
$596$	−3.91588e15			−0.0873679
$597$	6.93190e15	+	6.93190e15i	0.153111	+	0.153111i
$598$	3.22624e16	−	3.22624e16i	0.705489	−	0.705489i
$599$		−	1.83187e16i		−	0.396583i	−0.980143	−	0.198292i	$-0.936461\pi$
$599$		−	1.83187e16i		−	0.396583i	0.980143	−	0.198292i	$-0.0635393\pi$
$600$	−9.01604e14	+	1.67501e15i	−0.0193245	+	0.0359013i
$601$	2.90777e16			0.617041			0.308520	−	0.951218i	$-0.400166\pi$
$601$	2.90777e16			0.617041			0.308520	+	0.951218i	$0.400166\pi$
$602$	2.97017e16	+	2.97017e16i	0.624026	+	0.624026i
$603$	2.19170e16	−	2.19170e16i	0.455907	−	0.455907i
$604$		−	2.12744e16i		−	0.438164i
$605$	9.04049e15	−	3.58696e16i	0.184357	−	0.731467i
$606$	−6.00549e15			−0.121259
$607$	5.05207e15	+	5.05207e15i	0.101004	+	0.101004i	0.755803	−	0.654799i	$-0.227247\pi$
$607$	5.05207e15	+	5.05207e15i	0.101004	+	0.101004i	−0.654799	+	0.755803i	$0.727247\pi$
$608$	−1.95776e15	+	1.95776e15i	−0.0387559	+	0.0387559i
$609$			3.77018e14i			0.00739023i
$610$	5.75119e16	−	3.43574e16i	1.11629	−	0.666870i
$611$	−5.23732e16			−1.00661
$612$	1.67997e16	+	1.67997e16i	0.319737	+	0.319737i
$613$	1.21687e16	−	1.21687e16i	0.229340	−	0.229340i	−0.583077	−	0.812417i	$-0.698151\pi$
$613$	1.21687e16	−	1.21687e16i	0.229340	−	0.229340i	0.812417	+	0.583077i	$0.198151\pi$
$614$		−	1.62616e16i		−	0.303496i
$615$	−3.62817e14	−	6.07330e14i	−0.00670559	−	0.0112247i
$616$	1.82458e16			0.333947
$617$	−6.86609e16	−	6.86609e16i	−1.24451	−	1.24451i	−0.958110	−	0.286400i	$-0.907541\pi$
$617$	−6.86609e16	−	6.86609e16i	−1.24451	−	1.24451i	−0.286400	−	0.958110i	$-0.592459\pi$
$618$	−2.12845e15	+	2.12845e15i	−0.0382061	+	0.0382061i
$619$			5.30269e16i			0.942655i	0.881958	+	0.471327i	$0.156225\pi$
$619$			5.30269e16i			0.942655i	−0.881958	+	0.471327i	$0.843775\pi$
$620$	−4.20574e16	−	1.06000e16i	−0.740444	−	0.186620i
$621$	1.38554e16			0.241585
$622$	2.10957e16	+	2.10957e16i	0.364293	+	0.364293i
$623$	5.33027e16	−	5.33027e16i	0.911635	−	0.911635i
$624$		−	2.27741e15i		−	0.0385774i
$625$	3.28249e16	+	4.97518e16i	0.550711	+	0.834696i
$626$	−2.83570e16			−0.471209
$627$	−2.03460e15	−	2.03460e15i	−0.0334869	−	0.0334869i
$628$	1.09031e16	−	1.09031e16i	0.177743	−	0.177743i
$629$		−	2.49230e16i		−	0.402435i
$630$	−7.60275e15	+	3.01652e16i	−0.121598	+	0.482462i
$631$	−7.10226e16			−1.12518			−0.562588	−	0.826738i	$-0.690194\pi$
$631$	−7.10226e16			−1.12518			−0.562588	+	0.826738i	$0.690194\pi$
$632$	−8.58583e15	−	8.58583e15i	−0.134735	−	0.134735i
$633$	2.03813e15	−	2.03813e15i	0.0316818	−	0.0316818i
$634$			7.10597e16i			1.09418i
$635$	−6.92382e16	+	4.13626e16i	−1.05610	+	0.630908i
$636$	−2.47538e15			−0.0374023
$637$	3.10665e16	+	3.10665e16i	0.465002	+	0.465002i
$638$	4.01364e15	−	4.01364e15i	0.0595134	−	0.0595134i
$639$		−	1.84528e16i		−	0.271054i
$640$	3.11506e15	+	5.21439e15i	0.0453301	+	0.0758794i
$641$	1.46335e16			0.210960			0.105480	−	0.994421i	$-0.466362\pi$
$641$	1.46335e16			0.210960			0.105480	+	0.994421i	$0.466362\pi$
$642$	3.29528e15	+	3.29528e15i	0.0470633	+	0.0470633i
$643$	−5.21919e16	+	5.21919e16i	−0.738478	+	0.738478i	−0.972283	−	0.233805i	$-0.924882\pi$
$643$	−5.21919e16	+	5.21919e16i	−0.738478	+	0.738478i	0.233805	+	0.972283i	$0.424882\pi$
$644$		−	2.68215e16i		−	0.375983i
$645$	−1.40915e16	−	3.55158e15i	−0.195704	−	0.0493246i
$646$	−1.46036e16			−0.200939
$647$	3.33260e16	+	3.33260e16i	0.454315	+	0.454315i	0.896784	−	0.442469i	$-0.145897\pi$
$647$	3.33260e16	+	3.33260e16i	0.454315	+	0.454315i	−0.442469	+	0.896784i	$0.645897\pi$
$648$	−1.77741e16	+	1.77741e16i	−0.240070	+	0.240070i
$649$			1.34430e17i			1.79899i
$650$	−6.28353e16	−	3.38221e16i	−0.833150	−	0.448457i
$651$	9.55988e15			0.125593
$652$	−3.15495e16	−	3.15495e16i	−0.410683	−	0.410683i
$653$	−6.47983e16	+	6.47983e16i	−0.835766	+	0.835766i	−0.988298	−	0.152532i	$-0.951257\pi$
$653$	−6.47983e16	+	6.47983e16i	−0.835766	+	0.835766i	0.152532	+	0.988298i	$0.451257\pi$
$654$		−	7.72360e15i		−	0.0987082i
$655$	3.05289e16	−	1.21128e17i	0.386601	−	1.53390i
$656$	−2.25893e15			−0.0283453
$657$	5.70551e16	+	5.70551e16i	0.709419	+	0.709419i
$658$	−2.17703e16	+	2.17703e16i	−0.268231	+	0.268231i
$659$		−	1.34385e17i		−	1.64073i	−0.571841	−	0.820365i	$-0.693771\pi$
$659$		−	1.34385e17i		−	1.64073i	0.571841	−	0.820365i	$-0.306229\pi$
$660$	−5.41907e15	+	3.23733e15i	−0.0655634	+	0.0391673i
$661$	−4.46690e16			−0.535547			−0.267773	−	0.963482i	$-0.586288\pi$
$661$	−4.46690e16			−0.535547			−0.267773	+	0.963482i	$0.586288\pi$
$662$	−6.56499e16	−	6.56499e16i	−0.779985	−	0.779985i
$663$	8.49397e15	−	8.49397e15i	0.100007	−	0.100007i
$664$		−	2.12165e16i		−	0.247551i
$665$	−9.80651e15	−	1.64154e16i	−0.113393	−	0.189811i
$666$	2.67338e16			0.306348
$667$	−5.90010e15	−	5.90010e15i	−0.0670046	−	0.0670046i
$668$	8.52032e15	−	8.52032e15i	0.0958952	−	0.0958952i
$669$			7.34362e15i			0.0819131i
$670$	4.05290e16	+	1.02148e16i	0.448040	+	0.112923i
$671$	2.22309e17			2.43569
$672$	−9.46665e14	−	9.46665e14i	−0.0102797	−	0.0102797i
$673$	1.25981e16	−	1.25981e16i	0.135586	−	0.135586i	−0.636056	−	0.771642i	$-0.719435\pi$
$673$	1.25981e16	−	1.25981e16i	0.135586	−	0.135586i	0.771642	+	0.636056i	$0.219435\pi$
$674$			8.86742e16i			0.945884i
$675$	−6.22998e15	−	2.07552e16i	−0.0658665	−	0.219434i
$676$	3.77186e16			0.395253
$677$	−8.47278e15	−	8.47278e15i	−0.0880022	−	0.0880022i	0.661735	−	0.749738i	$-0.269820\pi$
$677$	−8.47278e15	−	8.47278e15i	−0.0880022	−	0.0880022i	−0.749738	+	0.661735i	$0.769820\pi$
$678$	1.02523e16	−	1.02523e16i	0.105546	−	0.105546i
$679$			4.72917e16i			0.482577i
$680$	−7.82982e15	+	3.10661e16i	−0.0791951	+	0.314220i
$681$	−7.09007e15			−0.0710833
$682$	−1.01772e17	−	1.01772e17i	−1.01140	−	1.01140i
$683$	−4.43256e15	+	4.43256e15i	−0.0436647	+	0.0436647i	−0.728602	−	0.684937i	$-0.759830\pi$
$683$	−4.43256e15	+	4.43256e15i	−0.0436647	+	0.0436647i	0.684937	+	0.728602i	$0.259830\pi$
$684$		−	1.56646e16i		−	0.152962i
$685$	9.38857e16	−	5.60870e16i	0.908774	−	0.542898i
$686$	7.83799e16			0.752073
$687$	3.89980e15	+	3.89980e15i	0.0370938	+	0.0370938i
$688$	−3.28113e16	+	3.28113e16i	−0.309380	+	0.309380i
$689$		−	9.28596e16i		−	0.867983i
$690$	4.75892e15	+	7.96610e15i	0.0440975	+	0.0738161i
$691$	4.70857e16			0.432535			0.216267	−	0.976334i	$-0.430612\pi$
$691$	4.70857e16			0.432535			0.216267	+	0.976334i	$0.430612\pi$
$692$	3.46463e16	+	3.46463e16i	0.315515	+	0.315515i
$693$	−7.29949e16	+	7.29949e16i	−0.659012	+	0.659012i
$694$		−	3.24634e16i		−	0.290561i
$695$	8.09281e16	+	2.03969e16i	0.718109	+	0.180990i
$696$	−4.16489e14			−0.00366393
$697$	−8.42507e15	−	8.42507e15i	−0.0734813	−	0.0734813i
$698$	1.68663e16	−	1.68663e16i	0.145844	−	0.145844i
$699$			9.05238e15i			0.0776068i
$700$	−4.01782e16	+	1.20601e16i	−0.341509	+	0.102509i
$701$	8.06515e15			0.0679680			0.0339840	−	0.999422i	$-0.489180\pi$
$701$	8.06515e15			0.0679680			0.0339840	+	0.999422i	$0.489180\pi$
$702$	1.83450e16	+	1.83450e16i	0.153284	+	0.153284i
$703$	−1.16195e16	+	1.16195e16i	−0.0962623	+	0.0962623i
$704$			2.01559e16i			0.165564i
$705$	2.60318e15	−	1.03286e16i	0.0212017	−	0.0841212i
$706$	1.89548e15			0.0153070
$707$	−9.36461e16	−	9.36461e16i	−0.749848	−	0.749848i
$708$	6.97480e15	−	6.97480e15i	0.0553773	−	0.0553773i
$709$			1.43911e17i			1.13297i	0.824073	+	0.566484i	$0.191697\pi$
$709$			1.43911e17i			1.13297i	−0.824073	+	0.566484i	$0.808303\pi$
$710$	2.13616e16	−	1.27614e16i	0.166757	−	0.0996202i
$711$	6.86979e16			0.531772
$712$	5.88831e16	+	5.88831e16i	0.451971	+	0.451971i
$713$	−1.49606e17	+	1.49606e17i	−1.13871	+	1.13871i
$714$		−	7.06149e15i		−	0.0532976i
$715$	−1.21443e17	−	2.03287e17i	−0.908943	−	1.52151i
$716$	9.23648e16			0.685533
$717$	−2.58834e15	−	2.58834e15i	−0.0190505	−	0.0190505i
$718$	7.32030e16	−	7.32030e16i	0.534297	−	0.534297i
$719$			9.19905e16i			0.665840i	0.942955	+	0.332920i	$0.108034\pi$
$719$			9.19905e16i			0.665840i	−0.942955	+	0.332920i	$0.891966\pi$
$720$	−3.33232e16	−	8.39870e15i	−0.239195	−	0.0602861i
$721$	−6.63796e16			−0.472523
$722$	−6.40176e16	−	6.40176e16i	−0.451935	−	0.451935i
$723$	−1.81343e16	+	1.81343e16i	−0.126961	+	0.126961i
$724$			3.25331e16i			0.225889i
$725$	−6.18534e15	+	1.14912e16i	−0.0425927	+	0.0791294i
$726$	−9.00696e15			−0.0615118
$727$	−3.54829e16	−	3.54829e16i	−0.240333	−	0.240333i	0.576655	−	0.816988i	$-0.304358\pi$
$727$	−3.54829e16	−	3.54829e16i	−0.240333	−	0.240333i	−0.816988	+	0.576655i	$0.804358\pi$
$728$	3.55125e16	−	3.55125e16i	0.238558	−	0.238558i
$729$		−	1.38251e17i		−	0.921090i
$730$	−2.65917e16	+	1.05507e17i	−0.175715	+	0.697178i
$731$	−2.44750e17			−1.60405
$732$	−1.15343e16	−	1.15343e16i	−0.0749765	−	0.0749765i
$733$	−2.35715e15	+	2.35715e15i	−0.0151972	+	0.0151972i	−0.714665	−	0.699467i	$-0.753421\pi$
$733$	−2.35715e15	+	2.35715e15i	−0.0151972	+	0.0151972i	0.699467	+	0.714665i	$0.253421\pi$
$734$			1.80133e17i			1.15191i
$735$	−7.67080e15	+	4.58251e15i	−0.0486538	+	0.0290656i
$736$	2.96295e16			0.186405
$737$	9.80737e16	+	9.80737e16i	0.611995	+	0.611995i
$738$	9.03721e15	−	9.03721e15i	0.0559366	−	0.0559366i
$739$		−	1.74369e17i		−	1.07054i	−0.844680	−	0.535271i	$-0.820209\pi$
$739$		−	1.74369e17i		−	1.07054i	0.844680	−	0.535271i	$-0.179791\pi$
$740$	1.84882e16	+	3.09480e16i	0.112591	+	0.188470i
$741$	−7.92008e15			−0.0478432
$742$	−3.85996e16	−	3.85996e16i	−0.231291	−	0.231291i
$743$	4.60511e16	−	4.60511e16i	0.273720	−	0.273720i	−0.556876	−	0.830596i	$-0.688000\pi$
$743$	4.60511e16	−	4.60511e16i	0.273720	−	0.273720i	0.830596	+	0.556876i	$0.188000\pi$
$744$			1.05607e16i			0.0622667i
$745$	2.89698e16	+	7.30148e15i	0.169437	+	0.0427045i
$746$	4.48958e16			0.260479
$747$	8.48798e16	+	8.48798e16i	0.488518	+	0.488518i
$748$	−7.51750e16	+	7.51750e16i	−0.429204	+	0.429204i
$749$			1.02769e17i			0.582066i
$750$	9.79330e15	−	1.07107e16i	0.0550252	−	0.0601797i
$751$	−2.46982e17			−1.37666			−0.688328	−	0.725400i	$-0.741655\pi$
$751$	−2.46982e17			−1.37666			−0.688328	+	0.725400i	$0.741655\pi$
$752$	−2.40495e16	−	2.40495e16i	−0.132984	−	0.132984i
$753$	3.70991e15	−	3.70991e15i	0.0203514	−	0.0203514i
$754$		−	1.56239e16i		−	0.0850276i
$755$	−3.96679e16	+	1.57389e17i	−0.214169	+	0.849753i
$756$	1.52512e16			0.0816908
$757$	−8.81831e15	−	8.81831e15i	−0.0468608	−	0.0468608i	0.683288	−	0.730149i	$-0.260549\pi$
$757$	−8.81831e15	−	8.81831e15i	−0.0468608	−	0.0468608i	−0.730149	+	0.683288i	$0.760549\pi$
$758$	1.08756e17	−	1.08756e17i	0.573372	−	0.573372i
$759$			3.07925e16i			0.161063i
$760$	1.81340e16	−	1.08332e16i	0.0941047	−	0.0562178i
$761$	9.59846e16			0.494189			0.247095	−	0.968991i	$-0.420524\pi$
$761$	9.59846e16			0.494189			0.247095	+	0.968991i	$0.420524\pi$
$762$	1.38861e16	+	1.38861e16i	0.0709332	+	0.0709332i
$763$	1.20437e17	−	1.20437e17i	0.610398	−	0.610398i
$764$		−	7.08659e16i		−	0.356350i
$765$	−9.29603e16	−	1.55609e17i	−0.463798	−	0.776366i
$766$	−9.11546e15			−0.0451238
$767$	2.61648e17	+	2.61648e17i	1.28512	+	1.28512i
$768$	1.04577e15	−	1.04577e15i	0.00509648	−	0.00509648i
$769$		−	9.31936e16i		−	0.450638i	−0.974285	−	0.225319i	$-0.927658\pi$
$769$		−	9.31936e16i		−	0.450638i	0.974285	−	0.225319i	$-0.0723424\pi$
$770$	−1.34983e17	−	3.40207e16i	−0.647641	−	0.163230i
$771$	7.00335e15			0.0333411
$772$	−1.49501e16	−	1.49501e16i	−0.0706218	−	0.0706218i
$773$	1.71053e17	−	1.71053e17i	0.801777	−	0.801777i	−0.181596	−	0.983373i	$-0.558126\pi$
$773$	1.71053e17	−	1.71053e17i	0.801777	−	0.801777i	0.983373	+	0.181596i	$0.0581264\pi$
$774$		−	2.62533e17i		−	1.22106i
$775$	2.91378e17	+	1.56839e17i	1.34476	+	0.723842i
$776$	−5.22428e16			−0.239252
$777$	−5.61857e15	−	5.61857e15i	−0.0255329	−	0.0255329i
$778$	−1.60316e17	+	1.60316e17i	−0.722935	+	0.722935i
$779$			7.85584e15i			0.0351534i
$780$	−4.24641e15	+	1.68483e16i	−0.0188562	+	0.0748152i
$781$	8.25722e16			0.363855
$782$	1.10508e17	+	1.10508e17i	0.483230	+	0.483230i
$783$	3.35491e15	−	3.35491e15i	0.0145583	−	0.0145583i
$784$			2.85311e16i			0.122863i
$785$	−1.00991e17	+	6.03319e16i	−0.431585	+	0.257827i
$786$	−3.04156e16			−0.128992
$787$	−7.61701e16	−	7.61701e16i	−0.320580	−	0.320580i	0.528410	−	0.848990i	$-0.322789\pi$
$787$	−7.61701e16	−	7.61701e16i	−0.320580	−	0.320580i	−0.848990	+	0.528410i	$0.822789\pi$
$788$	1.01378e17	−	1.01378e17i	0.423437	−	0.423437i
$789$		−	3.76208e16i		−	0.155943i
$790$	4.75093e16	+	7.95273e16i	0.195441	+	0.327155i
$791$	3.19737e17			1.30537
$792$	−8.06369e16	−	8.06369e16i	−0.326725	−	0.326725i
$793$	4.32690e17	−	4.32690e17i	1.73995	−	1.73995i
$794$			2.34805e16i			0.0937097i
$795$	1.83129e16	+	4.61554e15i	0.0725363	+	0.0182819i
$796$	−2.38817e17			−0.938828
$797$	−5.12571e16	−	5.12571e16i	−0.199988	−	0.199988i	0.600007	−	0.799995i	$-0.295165\pi$
$797$	−5.12571e16	−	5.12571e16i	−0.199988	−	0.199988i	−0.799995	+	0.600007i	$0.795165\pi$
$798$	−3.29219e15	+	3.29219e15i	−0.0127488	+	0.0127488i
$799$		−	1.79393e17i		−	0.689486i
$800$	−1.33227e16	−	4.43846e16i	−0.0508220	−	0.169314i
$801$	−4.71142e17			−1.78384
$802$	7.93470e16	+	7.93470e16i	0.298184	+	0.298184i
$803$	−2.55310e17	+	2.55310e17i	−0.952300	+	0.952300i
$804$		−	1.01769e16i		−	0.0376774i
$805$	−5.00109e16	+	1.98426e17i	−0.183776	+	0.729162i
$806$	−3.96167e17			−1.44500
$807$	3.72942e15	+	3.72942e15i	0.0135021	+	0.0135021i
$808$	1.03450e17	−	1.03450e17i	0.371760	−	0.371760i
$809$			1.73173e17i			0.617717i	0.951108	+	0.308859i	$0.0999470\pi$
$809$			1.73173e17i			0.617717i	−0.951108	+	0.308859i	$0.900053\pi$
$810$	1.64635e17	−	9.83524e16i	0.582924	−	0.348237i
$811$	−3.57991e17			−1.25819			−0.629095	−	0.777328i	$-0.716575\pi$
$811$	−3.57991e17			−1.25819			−0.629095	+	0.777328i	$0.716575\pi$
$812$	−6.49447e15	−	6.49447e15i	−0.0226573	−	0.0226573i
$813$	−1.73707e16	+	1.73707e16i	−0.0601552	+	0.0601552i
$814$			1.19628e17i			0.411231i
$815$	1.74578e17	+	2.92231e17i	0.595721	+	0.997195i
$816$	7.80078e15			0.0264239
$817$	1.14107e17	+	1.14107e17i	0.383689	+	0.383689i
$818$	−5.86969e16	+	5.86969e16i	−0.195927	+	0.195927i
$819$			2.84146e17i			0.941540i
$820$	1.67117e16	+	4.21197e15i	0.0549714	+	0.0138548i
$821$	1.62633e17			0.531068			0.265534	−	0.964102i	$-0.414452\pi$
$821$	1.62633e17			0.531068			0.265534	+	0.964102i	$0.414452\pi$
$822$	−1.88293e16	−	1.88293e16i	−0.0610383	−	0.0610383i
$823$	−3.78884e17	+	3.78884e17i	−1.21929	+	1.21929i	−0.251409	+	0.967881i	$0.580894\pi$
$823$	−3.78884e17	+	3.78884e17i	−1.21929	+	1.21929i	−0.967881	+	0.251409i	$0.919106\pi$
$824$		−	7.33290e16i		−	0.234268i
$825$	4.61268e16	−	1.38456e16i	0.146295	−	0.0439126i
$826$	2.17522e17			0.684892
$827$	−3.48092e17	−	3.48092e17i	−1.08808	−	1.08808i	−0.995726	−	0.0923537i	$-0.970561\pi$
$827$	−3.48092e17	−	3.48092e17i	−1.08808	−	1.08808i	−0.0923537	−	0.995726i	$-0.529439\pi$
$828$	−1.18537e17	+	1.18537e17i	−0.367852	+	0.367852i
$829$		−	3.69157e17i		−	1.13732i	−0.822572	−	0.568661i	$-0.807461\pi$
$829$		−	3.69157e17i		−	1.13732i	0.822572	−	0.568661i	$-0.192539\pi$
$830$	−3.95599e16	+	1.56960e17i	−0.121000	+	0.480089i
$831$	5.07276e16			0.154042
$832$	3.92304e16	+	3.92304e16i	0.118272	+	0.118272i
$833$	−1.06412e17	+	1.06412e17i	−0.318507	+	0.318507i
$834$		−	2.03213e16i		−	0.0603885i
$835$	−7.89205e16	+	4.71468e16i	−0.232847	+	0.139102i
$836$	7.00958e16			0.205331
$837$	−8.50690e16	−	8.50690e16i	−0.247411	−	0.247411i
$838$	−5.26558e16	+	5.26558e16i	−0.152048	+	0.152048i
$839$		−	2.28480e17i		−	0.655054i	−0.944842	−	0.327527i	$-0.893785\pi$
$839$		−	2.28480e17i		−	0.655054i	0.944842	−	0.327527i	$-0.106215\pi$
$840$	5.23833e15	+	8.76860e15i	0.0149114	+	0.0249606i
$841$	3.50958e17			0.991924
$842$	1.35219e17	+	1.35219e17i	0.379459	+	0.379459i
$843$	1.80107e16	−	1.80107e16i	0.0501839	−	0.0501839i
$844$			7.02172e16i			0.194263i
$845$	−2.79043e17	−	7.03293e16i	−0.766534	−	0.193195i
$846$	1.92427e17			0.524861
$847$	−1.40449e17	−	1.40449e17i	−0.380381	−	0.380381i
$848$	4.26406e16	−	4.26406e16i	0.114670	−	0.114670i
$849$		−	4.24797e16i		−	0.113432i
$850$	1.15851e17	−	2.15229e17i	0.307174	−	0.570673i
$851$	1.75854e17			0.462995
$852$	−4.28419e15	−	4.28419e15i	−0.0112003	−	0.0112003i
$853$	3.95302e17	−	3.95302e17i	1.02621	−	1.02621i	0.0265604	−	0.999647i	$-0.491545\pi$
$853$	3.95302e17	−	3.95302e17i	1.02621	−	1.02621i	0.999647	−	0.0265604i	$-0.00845542\pi$
$854$		−	3.59718e17i		−	0.927289i
$855$	−2.92080e16	+	1.15887e17i	−0.0747661	+	0.296647i
$856$	−1.13528e17			−0.288577
$857$	−1.52003e17	−	1.52003e17i	−0.383680	−	0.383680i	0.488746	−	0.872426i	$-0.337454\pi$
$857$	−1.52003e17	−	1.52003e17i	−0.383680	−	0.383680i	−0.872426	+	0.488746i	$0.837454\pi$
$858$	−4.07703e16	+	4.07703e16i	−0.102193	+	0.102193i
$859$			1.83511e17i			0.456775i	0.973570	+	0.228388i	$0.0733453\pi$
$859$			1.83511e17i			0.456775i	−0.973570	+	0.228388i	$0.926655\pi$
$860$	3.03918e17	−	1.81560e17i	0.751218	−	0.448775i
$861$	−3.79865e15			−0.00932419
$862$	3.52536e17	+	3.52536e17i	0.859329	+	0.859329i
$863$	7.21471e16	−	7.21471e16i	0.174644	−	0.174644i	−0.614372	−	0.789016i	$-0.710591\pi$
$863$	7.21471e16	−	7.21471e16i	0.174644	−	0.174644i	0.789016	+	0.614372i	$0.210591\pi$
$864$			1.68479e16i			0.0405007i
$865$	−1.91714e17	−	3.20915e17i	−0.457674	−	0.766115i
$866$	2.32628e17			0.551512
$867$	−5.53985e15	−	5.53985e15i	−0.0130432	−	0.0130432i
$868$	−1.64678e17	+	1.64678e17i	−0.385049	+	0.385049i
$869$			3.07408e17i			0.713834i
$870$	3.08120e15	+	7.76577e14i	0.00710566	+	0.00179089i
$871$	3.81770e17			0.874366
$872$	1.33046e17	+	1.33046e17i	0.302624	+	0.302624i
$873$	2.09005e17	−	2.09005e17i	0.472141	−	0.472141i
$874$		−	1.03042e17i		−	0.231177i
$875$	3.19727e17	−	1.43053e16i	0.712412	−	0.0318750i
$876$	2.64930e16			0.0586283
$877$	2.24375e17	+	2.24375e17i	0.493147	+	0.493147i	0.909296	−	0.416149i	$-0.136621\pi$
$877$	2.24375e17	+	2.24375e17i	0.493147	+	0.493147i	−0.416149	+	0.909296i	$0.636621\pi$
$878$	−3.29365e16	+	3.29365e16i	−0.0718969	+	0.0718969i
$879$		−	6.05489e15i		−	0.0131272i
$880$	3.75824e16	−	1.49114e17i	0.0809261	−	0.321088i
$881$	−4.52418e17			−0.967575			−0.483788	−	0.875185i	$-0.660739\pi$
$881$	−4.52418e17			−0.967575			−0.483788	+	0.875185i	$0.660739\pi$
$882$	−1.14143e17	−	1.14143e17i	−0.242459	−	0.242459i
$883$	−2.62955e17	+	2.62955e17i	−0.554776	+	0.554776i	−0.927815	−	0.373040i	$-0.878315\pi$
$883$	−2.62955e17	+	2.62955e17i	−0.554776	+	0.554776i	0.373040	+	0.927815i	$0.378315\pi$
$884$			2.92633e17i			0.613210i
$885$	−6.46049e16	+	3.85947e16i	−0.134464	+	0.0803283i
$886$	−3.83021e17			−0.791810
$887$	−2.84621e17	−	2.84621e17i	−0.584421	−	0.584421i	0.351694	−	0.936115i	$-0.385606\pi$
$887$	−2.84621e17	−	2.84621e17i	−0.584421	−	0.584421i	−0.936115	+	0.351694i	$0.885606\pi$
$888$	6.20679e15	−	6.20679e15i	0.0126587	−	0.0126587i
$889$			4.33062e17i			0.877283i
$890$	−3.25827e17	−	5.45412e17i	−0.655613	−	1.09745i
$891$	6.36387e17			1.27191
$892$	−1.26501e17	−	1.26501e17i	−0.251133	−	0.251133i
$893$	−8.36363e16	+	8.36363e16i	−0.164925	+	0.164925i
$894$		−	7.27440e15i		−	0.0142486i
$895$	−6.83319e17	−	1.72222e17i	−1.32949	−	0.335081i
$896$	3.26143e16			0.0630319
$897$	5.99329e16	+	5.99329e16i	0.115056	+	0.115056i
$898$	−1.87373e17	+	1.87373e17i	−0.357314	+	0.357314i
$899$			7.24505e16i			0.137241i
$900$	2.30867e17	+	1.24268e17i	0.434416	+	0.233832i
$901$	3.18071e17			0.594532
$902$	4.04396e16	+	4.04396e16i	0.0750875	+	0.0750875i
$903$	−5.51759e16	+	5.51759e16i	−0.101771	+	0.101771i
$904$			3.53211e17i			0.647178i
$905$	6.06607e16	−	2.40681e17i	0.110412	−	0.438078i
$906$	3.95208e16			0.0714589
$907$	−1.04107e17	−	1.04107e17i	−0.186997	−	0.186997i	0.607400	−	0.794396i	$-0.292213\pi$
$907$	−1.04107e17	−	1.04107e17i	−0.186997	−	0.186997i	−0.794396	+	0.607400i	$0.792213\pi$
$908$	1.22133e17	−	1.22133e17i	0.217930	−	0.217930i
$909$			8.27736e17i			1.46726i
$910$	−3.28939e17	+	1.96507e17i	−0.579251	+	0.346043i
$911$	3.22588e17			0.564337			0.282168	−	0.959365i	$-0.408946\pi$
$911$	3.22588e17			0.564337			0.282168	+	0.959365i	$0.408946\pi$
$912$	−3.63686e15	−	3.63686e15i	−0.00632059	−	0.00632059i
$913$	−3.79819e17	+	3.79819e17i	−0.655771	+	0.655771i
$914$			4.61430e16i			0.0791460i
$915$	6.38246e16	+	1.06838e17i	0.108758	+	0.182053i
$916$	−1.34355e17			−0.227448
$917$	−4.74283e17	−	4.74283e17i	−0.797667	−	0.797667i
$918$	−6.28370e16	+	6.28370e16i	−0.104993	+	0.104993i
$919$		−	3.75318e17i		−	0.623027i	−0.950242	−	0.311513i	$-0.899164\pi$
$919$		−	3.75318e17i		−	0.623027i	0.950242	−	0.311513i	$-0.100836\pi$
$920$	−2.19200e17	−	5.52466e16i	−0.361505	−	0.0911127i
$921$	3.02087e16			0.0494964
$922$	−2.13288e17	−	2.13288e17i	−0.347201	−	0.347201i
$923$	1.60714e17	−	1.60714e17i	0.259922	−	0.259922i
$924$			3.38945e16i			0.0544625i
$925$	−7.90716e16	−	2.63428e17i	−0.126232	−	0.420544i
$926$	−6.66973e17			−1.05789
$927$	2.93364e17	+	2.93364e17i	0.462305	+	0.462305i
$928$	7.17439e15	−	7.17439e15i	0.0112330	−	0.0112330i
$929$		−	1.22101e16i		−	0.0189943i	−0.999955	−	0.00949717i	$-0.996977\pi$
$929$		−	1.22101e16i		−	0.0189943i	0.999955	−	0.00949717i	$-0.00302309\pi$
$930$	1.96913e16	−	7.81286e16i	0.0304353	−	0.120757i
$931$	9.92220e16			0.152374
$932$	−1.55935e17	−	1.55935e17i	−0.237930	−	0.237930i
$933$	−3.91887e16	+	3.91887e16i	−0.0594116	+	0.0594116i
$934$		−	9.10449e17i		−	1.37143i
$935$	6.96318e17	−	4.15978e17i	1.04217	−	0.622587i
$936$	−3.13894e17			−0.466797
$937$	6.76414e17	+	6.76414e17i	0.999482	+	0.999482i	1.00000		0.000518293i	$-0.000164978\pi$
$937$	6.76414e17	+	6.76414e17i	0.999482	+	0.999482i	−0.000518293		1.00000i	$0.500165\pi$
$938$	1.58693e17	−	1.58693e17i	0.232992	−	0.232992i
$939$		−	5.26778e16i		−	0.0768482i
$940$	1.33077e17	+	2.22761e17i	0.192901	+	0.322903i
$941$	−6.59259e17			−0.949551			−0.474775	−	0.880107i	$-0.657471\pi$
$941$	−6.59259e17			−0.949551			−0.474775	+	0.880107i	$0.657471\pi$
$942$	2.02543e16	+	2.02543e16i	0.0289876	+	0.0289876i
$943$	5.94467e16	−	5.94467e16i	0.0845391	−	0.0845391i
$944$			2.40294e17i			0.339556i
$945$	−1.12829e17	−	2.84371e16i	−0.158427	−	0.0399296i
$946$	1.17478e18			1.63911
$947$	−1.50923e17	−	1.50923e17i	−0.209245	−	0.209245i	0.594702	−	0.803946i	$-0.297270\pi$
$947$	−1.50923e17	−	1.50923e17i	−0.209245	−	0.209245i	−0.803946	+	0.594702i	$0.797270\pi$
$948$	1.59496e16	−	1.59496e16i	0.0219735	−	0.0219735i
$949$			9.93841e17i			1.36057i
$950$	−1.54355e17	+	4.63320e16i	−0.209981	+	0.0630288i
$951$	−1.32005e17			−0.178446
$952$	1.21641e17	+	1.21641e17i	0.163402	+	0.163402i
$953$	2.51624e17	−	2.51624e17i	0.335888	−	0.335888i	−0.518929	−	0.854817i	$-0.673669\pi$
$953$	2.51624e17	−	2.51624e17i	0.335888	−	0.335888i	0.854817	+	0.518929i	$0.173669\pi$
$954$			3.41181e17i			0.452579i
$955$	−1.32135e17	+	5.24269e17i	−0.174180	+	0.691089i
$956$	8.91731e16			0.116812
$957$	7.45601e15	+	7.45601e15i	0.00970587	+	0.00970587i
$958$	−3.32092e17	+	3.32092e17i	−0.429601	+	0.429601i
$959$		−	5.87224e17i		−	0.754905i
$960$	−9.68660e15	+	5.78674e15i	−0.0123750	+	0.00739276i
$961$	1.04943e18			1.33234
$962$	2.32837e17	+	2.32837e17i	0.293766	+	0.293766i
$963$	4.54188e17	−	4.54188e17i	0.569479	−	0.569479i
$964$		−	6.24760e17i		−	0.778486i
$965$	8.27255e16	+	1.38477e17i	0.102441	+	0.171480i
$966$	4.98254e16			0.0613180
$967$	−5.27730e17	−	5.27730e17i	−0.645436	−	0.645436i	0.306451	−	0.951887i	$-0.400859\pi$
$967$	−5.27730e17	−	5.27730e17i	−0.645436	−	0.645436i	−0.951887	+	0.306451i	$0.900859\pi$
$968$	1.55153e17	−	1.55153e17i	0.188585	−	0.188585i
$969$		−	2.71286e16i		−	0.0327706i
$970$	3.86494e17	+	9.74110e16i	0.463994	+	0.116944i
$971$	3.09306e16			0.0369040			0.0184520	−	0.999830i	$-0.494126\pi$
$971$	3.09306e16			0.0369040			0.0184520	+	0.999830i	$0.494126\pi$
$972$	−1.01329e17	−	1.01329e17i	−0.120154	−	0.120154i
$973$	3.16878e17	−	3.16878e17i	0.373435	−	0.373435i
$974$			7.68712e17i			0.900347i
$975$	6.28302e16	−	1.16727e17i	0.0731377	−	0.135876i
$976$	3.97378e17			0.459732
$977$	3.95237e17	+	3.95237e17i	0.454455	+	0.454455i	0.896830	−	0.442375i	$-0.145864\pi$
$977$	3.95237e17	+	3.95237e17i	0.454455	+	0.454455i	−0.442375	+	0.896830i	$0.645864\pi$
$978$	5.86084e16	−	5.86084e16i	0.0669771	−	0.0669771i
$979$		−	2.10826e18i		−	2.39457i
$980$	5.31986e16	−	2.11074e17i	0.0600542	−	0.238275i
$981$	−1.06454e18			−1.19440
$982$	−1.94002e17	−	1.94002e17i	−0.216341	−	0.216341i
$983$	−1.05857e18	+	1.05857e18i	−1.17327	+	1.17327i	−0.191842	+	0.981426i	$0.561446\pi$
$983$	−1.05857e18	+	1.05857e18i	−1.17327	+	1.17327i	−0.981426	+	0.191842i	$0.938554\pi$
$984$		−	4.19634e15i		−	0.00462275i
$985$	−9.39031e17	+	5.60974e17i	−1.02816	+	0.614221i
$986$	5.35162e16			0.0582404
$987$	−4.04420e16	−	4.04420e16i	−0.0437451	−	0.0437451i
$988$	1.36431e17	−	1.36431e17i	0.146680	−	0.146680i
$989$		−	1.72694e18i		−	1.84544i
$990$	4.46201e17	+	7.46909e17i	0.473936	+	0.793335i
$991$	−1.13103e18			−1.19408			−0.597040	−	0.802211i	$-0.703657\pi$
$991$	−1.13103e18			−1.19408			−0.597040	+	0.802211i	$0.703657\pi$
$992$	−1.81918e17	−	1.81918e17i	−0.190900	−	0.190900i
$993$	1.21956e17	−	1.21956e17i	0.127206	−	0.127206i
$994$		−	1.33610e17i		−	0.138523i
$995$	1.76677e18	+	4.45293e17i	1.82072	+	0.458889i
$996$	3.94132e16			0.0403725
$997$	1.23508e18	+	1.23508e18i	1.25755	+	1.25755i	0.952258	+	0.305293i	$0.0987544\pi$
$997$	1.23508e18	+	1.23508e18i	1.25755	+	1.25755i	0.305293	+	0.952258i	$0.401246\pi$
$998$	7.43824e17	−	7.43824e17i	0.752812	−	0.752812i
$999$			9.99941e16i			0.100596i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	10.13.c.a.7.2	yes	6
3.2	odd	2		90.13.g.b.37.1		6
4.3	odd	2		80.13.p.b.17.2		6
5.2	odd	4		50.13.c.d.43.2		6
5.3	odd	4	inner	10.13.c.a.3.2	✓	6
5.4	even	2		50.13.c.d.7.2		6
15.8	even	4		90.13.g.b.73.1		6
20.3	even	4		80.13.p.b.33.2		6

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
10.13.c.a.3.2	✓	6	5.3	odd	4	inner
10.13.c.a.7.2	yes	6	1.1	even	1	trivial
50.13.c.d.7.2		6	5.4	even	2
50.13.c.d.43.2		6	5.2	odd	4
80.13.p.b.17.2		6	4.3	odd	2
80.13.p.b.33.2		6	20.3	even	4
90.13.g.b.37.1		6	3.2	odd	2
90.13.g.b.73.1		6	15.8	even	4

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)

\(f(q)\)	\(=\)	\(q+(-32.0000 - 32.0000i) q^{2} +(59.4453 - 59.4453i) q^{3} +2048.00i q^{4} +(3818.66 - 15151.2i) q^{5} -3804.50 q^{6} +(-59325.1 - 59325.1i) q^{7} +(65536.0 - 65536.0i) q^{8} +524374. i q^{9} +O(q^{10})\)	\(q+(-32.0000 - 32.0000i) q^{2} +(59.4453 - 59.4453i) q^{3} +2048.00i q^{4} +(3818.66 - 15151.2i) q^{5} -3804.50 q^{6} +(-59325.1 - 59325.1i) q^{7} +(65536.0 - 65536.0i) q^{8} +524374. i q^{9} +(-607035. + 362641. i) q^{10} -2.34646e6 q^{11} +(121744. + 121744. i) q^{12} +(-4.56702e6 + 4.56702e6i) q^{13} +3.79681e6i q^{14} +(-673665. - 1.12767e6i) q^{15} -4.19430e6 q^{16} +(-1.56434e7 - 1.56434e7i) q^{17} +(1.67800e7 - 1.67800e7i) q^{18} +1.45864e7i q^{19} +(3.10296e7 + 7.82062e6i) q^{20} -7.05320e6 q^{21} +(7.50867e7 + 7.50867e7i) q^{22} +(1.10378e8 - 1.10378e8i) q^{23} -7.79162e6i q^{24} +(-2.14976e8 - 1.15715e8i) q^{25} +2.92289e8 q^{26} +(6.27632e7 + 6.27632e7i) q^{27} +(1.21498e8 - 1.21498e8i) q^{28} -5.34534e7i q^{29} +(-1.45281e7 + 5.76427e7i) q^{30} -1.35539e9 q^{31} +(1.34218e8 + 1.34218e8i) q^{32} +(-1.39486e8 + 1.39486e8i) q^{33} +1.00118e9i q^{34} +(-1.12539e9 + 6.72303e8i) q^{35} -1.07392e9 q^{36} +(7.96598e8 + 7.96598e8i) q^{37} +(4.66766e8 - 4.66766e8i) q^{38} +5.42976e8i q^{39} +(-7.42688e8 - 1.24321e9i) q^{40} +5.38572e8 q^{41} +(2.25702e8 + 2.25702e8i) q^{42} +(7.82281e9 - 7.82281e9i) q^{43} -4.80555e9i q^{44} +(7.94488e9 + 2.00241e9i) q^{45} -7.06422e9 q^{46} +(5.73384e9 + 5.73384e9i) q^{47} +(-2.49332e8 + 2.49332e8i) q^{48} -6.80235e9i q^{49} +(3.17637e9 + 1.05821e10i) q^{50} -1.85985e9 q^{51} +(-9.35326e9 - 9.35326e9i) q^{52} +(-1.01663e10 + 1.01663e10i) q^{53} -4.01685e9i q^{54} +(-8.96034e9 + 3.55517e10i) q^{55} -7.77586e9 q^{56} +(8.67095e8 + 8.67095e8i) q^{57} +(-1.71051e9 + 1.71051e9i) q^{58} -5.72907e10i q^{59} +(2.30947e9 - 1.37967e9i) q^{60} -9.47423e10 q^{61} +(4.33726e10 + 4.33726e10i) q^{62} +(3.11085e10 - 3.11085e10i) q^{63} -8.58993e9i q^{64} +(5.17559e10 + 8.66357e10i) q^{65} +8.92711e9 q^{66} +(-4.17965e10 - 4.17965e10i) q^{67} +(3.20376e10 - 3.20376e10i) q^{68} -1.31230e10i q^{69} +(5.75261e10 + 1.44987e10i) q^{70} -3.51901e10 q^{71} +(3.43653e10 + 3.43653e10i) q^{72} +(1.08806e11 - 1.08806e11i) q^{73} -5.09823e10i q^{74} +(-1.96580e10 + 5.90064e9i) q^{75} -2.98730e10 q^{76} +(1.39204e11 + 1.39204e11i) q^{77} +(1.73752e10 - 1.73752e10i) q^{78} -1.31009e11i q^{79} +(-1.60166e10 + 6.35487e10i) q^{80} -2.71212e11 q^{81} +(-1.72343e10 - 1.72343e10i) q^{82} +(1.61869e11 - 1.61869e11i) q^{83} -1.44450e10i q^{84} +(-2.96752e11 + 1.77279e11i) q^{85} -5.00660e11 q^{86} +(-3.17756e9 - 3.17756e9i) q^{87} +(-1.53778e11 + 1.53778e11i) q^{88} +8.98485e11i q^{89} +(-1.90159e11 - 3.18313e11i) q^{90} +5.41878e11 q^{91} +(2.26055e11 + 2.26055e11i) q^{92} +(-8.05719e10 + 8.05719e10i) q^{93} -3.66966e11i q^{94} +(2.21002e11 + 5.57007e10i) q^{95} +1.59572e10 q^{96} +(-3.98581e11 - 3.98581e11i) q^{97} +(-2.17675e11 + 2.17675e11i) q^{98} -1.23042e12i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 6 q - 192 q^{2} - 936 q^{3} - 16260 q^{5} + 59904 q^{6} - 45336 q^{7} + 393216 q^{8}+O(q^{10}) \) 6 * q - 192 * q^2 - 936 * q^3 - 16260 * q^5 + 59904 * q^6 - 45336 * q^7 + 393216 * q^8	\( 6 q - 192 q^{2} - 936 q^{3} - 16260 q^{5} + 59904 q^{6} - 45336 q^{7} + 393216 q^{8} + 886080 q^{10} - 3418008 q^{11} - 1916928 q^{12} + 8106834 q^{13} + 26693880 q^{15} - 25165824 q^{16} + 10772514 q^{17} - 8703552 q^{18} - 23408640 q^{20} - 173036568 q^{21} + 109376256 q^{22} + 241146864 q^{23} - 520941150 q^{25} - 518837376 q^{26} + 1437591240 q^{27} + 92848128 q^{28} - 1764983040 q^{30} - 1709108208 q^{31} + 805306368 q^{32} + 6415914648 q^{33} - 3823952160 q^{35} + 557027328 q^{36} - 742614906 q^{37} + 3927847680 q^{38} - 316538880 q^{40} - 24748899528 q^{41} + 5537170176 q^{42} + 14532965304 q^{43} + 17091495930 q^{45} - 15433399296 q^{46} + 8427287424 q^{47} + 3925868544 q^{48} + 4302859200 q^{50} - 82983967968 q^{51} + 16602796032 q^{52} + 1297014534 q^{53} + 75773173080 q^{55} - 5942280192 q^{56} + 30123821760 q^{57} + 576729600 q^{58} + 58289848320 q^{60} - 201276821928 q^{61} + 54691462656 q^{62} + 149855233584 q^{63} + 146156357430 q^{65} - 410618537472 q^{66} + 108303977544 q^{67} - 22062108672 q^{68} + 132252737280 q^{70} - 570401667408 q^{71} - 17824874496 q^{72} + 710242228134 q^{73} - 180009328800 q^{75} - 251382251520 q^{76} + 9201523848 q^{77} + 422419616256 q^{78} + 68199383040 q^{80} - 754940669454 q^{81} + 791964784896 q^{82} + 727867488144 q^{83} - 1459335929310 q^{85} - 930109779456 q^{86} + 610413099600 q^{87} - 224002572288 q^{88} + 536586058560 q^{90} + 1841466543792 q^{91} + 493868777472 q^{92} + 503663914248 q^{93} - 972100512600 q^{95} - 251255586816 q^{96} - 2207840630346 q^{97} - 1960900383168 q^{98}+O(q^{100}) \) 6 * q - 192 * q^2 - 936 * q^3 - 16260 * q^5 + 59904 * q^6 - 45336 * q^7 + 393216 * q^8 + 886080 * q^10 - 3418008 * q^11 - 1916928 * q^12 + 8106834 * q^13 + 26693880 * q^15 - 25165824 * q^16 + 10772514 * q^17 - 8703552 * q^18 - 23408640 * q^20 - 173036568 * q^21 + 109376256 * q^22 + 241146864 * q^23 - 520941150 * q^25 - 518837376 * q^26 + 1437591240 * q^27 + 92848128 * q^28 - 1764983040 * q^30 - 1709108208 * q^31 + 805306368 * q^32 + 6415914648 * q^33 - 3823952160 * q^35 + 557027328 * q^36 - 742614906 * q^37 + 3927847680 * q^38 - 316538880 * q^40 - 24748899528 * q^41 + 5537170176 * q^42 + 14532965304 * q^43 + 17091495930 * q^45 - 15433399296 * q^46 + 8427287424 * q^47 + 3925868544 * q^48 + 4302859200 * q^50 - 82983967968 * q^51 + 16602796032 * q^52 + 1297014534 * q^53 + 75773173080 * q^55 - 5942280192 * q^56 + 30123821760 * q^57 + 576729600 * q^58 + 58289848320 * q^60 - 201276821928 * q^61 + 54691462656 * q^62 + 149855233584 * q^63 + 146156357430 * q^65 - 410618537472 * q^66 + 108303977544 * q^67 - 22062108672 * q^68 + 132252737280 * q^70 - 570401667408 * q^71 - 17824874496 * q^72 + 710242228134 * q^73 - 180009328800 * q^75 - 251382251520 * q^76 + 9201523848 * q^77 + 422419616256 * q^78 + 68199383040 * q^80 - 754940669454 * q^81 + 791964784896 * q^82 + 727867488144 * q^83 - 1459335929310 * q^85 - 930109779456 * q^86 + 610413099600 * q^87 - 224002572288 * q^88 + 536586058560 * q^90 + 1841466543792 * q^91 + 493868777472 * q^92 + 503663914248 * q^93 - 972100512600 * q^95 - 251255586816 * q^96 - 2207840630346 * q^97 - 1960900383168 * q^98

Introduction

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