LMFDB - Embedded newform 10.13.c.b.3.3

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			3.3
Root			$128.447i$ of defining polynomial
Character	$\chi$	$=$	10.3
Dual form			10.13.c.b.7.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(32.0000 - 32.0000i) q^{2} +(693.233 + 693.233i) q^{3} -2048.00i q^{4} +(7745.77 + 13570.0i) q^{5} +44366.9 q^{6} +(-108582. + 108582. i) q^{7} +(-65536.0 - 65536.0i) q^{8} +429704. i q^{9} +O(q^{10})$	\(q+(32.0000 - 32.0000i) q^{2} +(693.233 + 693.233i) q^{3} -2048.00i q^{4} +(7745.77 + 13570.0i) q^{5} +44366.9 q^{6} +(-108582. + 108582. i) q^{7} +(-65536.0 - 65536.0i) q^{8} +429704. i q^{9} +(682103. + 186374. i) q^{10} +2.46721e6 q^{11} +(1.41974e6 - 1.41974e6i) q^{12} +(782999. + 782999. i) q^{13} +6.94923e6i q^{14} +(-4.03751e6 + 1.47768e7i) q^{15} -4.19430e6 q^{16} +(2.16032e7 - 2.16032e7i) q^{17} +(1.37505e7 + 1.37505e7i) q^{18} +1.52537e7i q^{19} +(2.77913e7 - 1.58633e7i) q^{20} -1.50545e8 q^{21} +(7.89508e7 - 7.89508e7i) q^{22} +(-2.05242e8 - 2.05242e8i) q^{23} -9.08635e7i q^{24} +(-1.24147e8 + 2.10220e8i) q^{25} +5.01120e7 q^{26} +(7.05278e7 - 7.05278e7i) q^{27} +(2.22375e8 + 2.22375e8i) q^{28} -2.06721e8i q^{29} +(3.43656e8 + 6.02057e8i) q^{30} -1.07039e8 q^{31} +(-1.34218e8 + 1.34218e8i) q^{32} +(1.71035e9 + 1.71035e9i) q^{33} -1.38261e9i q^{34} +(-2.31450e9 - 6.32400e8i) q^{35} +8.80033e8 q^{36} +(1.52042e8 - 1.52042e8i) q^{37} +(4.88119e8 + 4.88119e8i) q^{38} +1.08560e9i q^{39} +(3.81693e8 - 1.39695e9i) q^{40} +7.91491e9 q^{41} +(-4.81744e9 + 4.81744e9i) q^{42} +(-5.63331e9 - 5.63331e9i) q^{43} -5.05285e9i q^{44} +(-5.83106e9 + 3.32839e9i) q^{45} -1.31355e10 q^{46} +(2.56492e9 - 2.56492e9i) q^{47} +(-2.90763e9 - 2.90763e9i) q^{48} -9.73870e9i q^{49} +(2.75433e9 + 1.06997e10i) q^{50} +2.99521e10 q^{51} +(1.60358e9 - 1.60358e9i) q^{52} +(-1.46179e10 - 1.46179e10i) q^{53} -4.51378e9i q^{54} +(1.91105e10 + 3.34799e10i) q^{55} +1.42320e10 q^{56} +(-1.05744e10 + 1.05744e10i) q^{57} +(-6.61506e9 - 6.61506e9i) q^{58} +5.45213e10i q^{59} +(3.02628e10 + 8.26883e9i) q^{60} -1.89895e9 q^{61} +(-3.42524e9 + 3.42524e9i) q^{62} +(-4.66580e10 - 4.66580e10i) q^{63} +8.58993e9i q^{64} +(-4.56033e9 + 1.66902e10i) q^{65} +1.09463e11 q^{66} +(-5.73241e10 + 5.73241e10i) q^{67} +(-4.42434e10 - 4.42434e10i) q^{68} -2.84561e11i q^{69} +(-9.43007e10 + 5.38272e10i) q^{70} +1.06263e11 q^{71} +(2.81611e10 - 2.81611e10i) q^{72} +(-5.40348e10 - 5.40348e10i) q^{73} -9.73068e9i q^{74} +(-2.31794e11 + 5.96686e10i) q^{75} +3.12396e10 q^{76} +(-2.67894e11 + 2.67894e11i) q^{77} +(3.47393e10 + 3.47393e10i) q^{78} -7.36076e10i q^{79} +(-3.24881e10 - 5.69165e10i) q^{80} +3.26146e11 q^{81} +(2.53277e11 - 2.53277e11i) q^{82} +(3.76191e11 + 3.76191e11i) q^{83} +3.08316e11i q^{84} +(4.60488e11 + 1.25821e11i) q^{85} -3.60532e11 q^{86} +(1.43306e11 - 1.43306e11i) q^{87} +(-1.61691e11 - 1.61691e11i) q^{88} -4.32379e11i q^{89} +(-8.00855e10 + 2.93102e11i) q^{90} -1.70039e11 q^{91} +(-4.20335e11 + 4.20335e11i) q^{92} +(-7.42028e10 - 7.42028e10i) q^{93} -1.64155e11i q^{94} +(-2.06992e11 + 1.18152e11i) q^{95} -1.86088e11 q^{96} +(9.08930e11 - 9.08930e11i) q^{97} +(-3.11638e11 - 3.11638e11i) q^{98} +1.06017e12i 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
$3$	693.233	+	693.233i	0.950937	+	0.950937i	0.998851	−	0.0479143i	$-0.0152574\pi$
$3$	693.233	+	693.233i	0.950937	+	0.950937i	−0.0479143	+	0.998851i	$0.515257\pi$
$4$		−	2048.00i		−	0.500000i
$5$	7745.77	+	13570.0i	0.495729	+	0.868477i
$5$	7745.77	+	13570.0i	0.495729	+	0.868477i
$6$	44366.9			0.950937
$7$	−108582.	+	108582.i	−0.922930	+	0.922930i	−0.997235	−	0.0743059i	$-0.976326\pi$
$7$	−108582.	+	108582.i	−0.922930	+	0.922930i	0.0743059	+	0.997235i	$0.476326\pi$
$8$	−65536.0	−	65536.0i	−0.250000	−	0.250000i
$9$			429704.i			0.808563i
$10$	682103.	+	186374.i	0.682103	+	0.186374i
$11$	2.46721e6			1.39268			0.696338	−	0.717714i	$-0.254811\pi$
$11$	2.46721e6			1.39268			0.696338	+	0.717714i	$0.254811\pi$
$12$	1.41974e6	−	1.41974e6i	0.475469	−	0.475469i
$13$	782999.	+	782999.i	0.162219	+	0.162219i	0.783549	−	0.621330i	$-0.213407\pi$
$13$	782999.	+	782999.i	0.162219	+	0.162219i	−0.621330	+	0.783549i	$0.713407\pi$
$14$			6.94923e6i			0.922930i
$15$	−4.03751e6	+	1.47768e7i	−0.354459	+	1.29727i
$16$	−4.19430e6			−0.250000
$17$	2.16032e7	−	2.16032e7i	0.895004	−	0.895004i	−0.0999853	−	0.994989i	$-0.531880\pi$
$17$	2.16032e7	−	2.16032e7i	0.895004	−	0.895004i	0.994989	+	0.0999853i	$0.0318796\pi$
$18$	1.37505e7	+	1.37505e7i	0.404282	+	0.404282i
$19$			1.52537e7i			0.324231i	0.986772	+	0.162115i	$0.0518317\pi$
$19$			1.52537e7i			0.324231i	−0.986772	+	0.162115i	$0.948168\pi$
$20$	2.77913e7	−	1.58633e7i	0.434238	−	0.247865i
$21$	−1.50545e8			−1.75530
$22$	7.89508e7	−	7.89508e7i	0.696338	−	0.696338i
$23$	−2.05242e8	−	2.05242e8i	−1.38643	−	1.38643i	−0.832685	−	0.553747i	$-0.813198\pi$
$23$	−2.05242e8	−	2.05242e8i	−1.38643	−	1.38643i	−0.553747	−	0.832685i	$-0.686802\pi$
$24$		−	9.08635e7i		−	0.475469i
$25$	−1.24147e8	+	2.10220e8i	−0.508505	+	0.861059i
$26$	5.01120e7			0.162219
$27$	7.05278e7	−	7.05278e7i	0.182044	−	0.182044i
$28$	2.22375e8	+	2.22375e8i	0.461465	+	0.461465i
$29$		−	2.06721e8i		−	0.347533i	−0.984787	−	0.173767i	$-0.944406\pi$
$29$		−	2.06721e8i		−	0.347533i	0.984787	−	0.173767i	$-0.0555938\pi$
$30$	3.43656e8	+	6.02057e8i	0.471408	+	0.825867i
$31$	−1.07039e8			−0.120606			−0.0603032	−	0.998180i	$-0.519207\pi$
$31$	−1.07039e8			−0.120606			−0.0603032	+	0.998180i	$0.519207\pi$
$32$	−1.34218e8	+	1.34218e8i	−0.125000	+	0.125000i
$33$	1.71035e9	+	1.71035e9i	1.32435	+	1.32435i
$34$		−	1.38261e9i		−	0.895004i
$35$	−2.31450e9	−	6.32400e8i	−1.25907	−	0.344020i
$36$	8.80033e8			0.404282
$37$	1.52042e8	−	1.52042e8i	0.0592588	−	0.0592588i	−0.676856	−	0.736115i	$-0.736658\pi$
$37$	1.52042e8	−	1.52042e8i	0.0592588	−	0.0592588i	0.736115	+	0.676856i	$0.236658\pi$
$38$	4.88119e8	+	4.88119e8i	0.162115	+	0.162115i
$39$			1.08560e9i			0.308520i
$40$	3.81693e8	−	1.39695e9i	0.0931869	−	0.341052i
$41$	7.91491e9			1.66626			0.833130	−	0.553077i	$-0.186547\pi$
$41$	7.91491e9			1.66626			0.833130	+	0.553077i	$0.186547\pi$
$42$	−4.81744e9	+	4.81744e9i	−0.877648	+	0.877648i
$43$	−5.63331e9	−	5.63331e9i	−0.891154	−	0.891154i	0.103477	−	0.994632i	$-0.467003\pi$
$43$	−5.63331e9	−	5.63331e9i	−0.891154	−	0.891154i	−0.994632	+	0.103477i	$0.967003\pi$
$44$		−	5.05285e9i		−	0.696338i
$45$	−5.83106e9	+	3.32839e9i	−0.702218	+	0.400829i
$46$	−1.31355e10			−1.38643
$47$	2.56492e9	−	2.56492e9i	0.237951	−	0.237951i	−0.578050	−	0.816001i	$-0.696186\pi$
$47$	2.56492e9	−	2.56492e9i	0.237951	−	0.237951i	0.816001	+	0.578050i	$0.196186\pi$
$48$	−2.90763e9	−	2.90763e9i	−0.237734	−	0.237734i
$49$		−	9.73870e9i		−	0.703598i
$50$	2.75433e9	+	1.06997e10i	0.176277	+	0.684782i
$51$	2.99521e10			1.70218
$52$	1.60358e9	−	1.60358e9i	0.0811094	−	0.0811094i
$53$	−1.46179e10	−	1.46179e10i	−0.659524	−	0.659524i	0.295743	−	0.955267i	$-0.404433\pi$
$53$	−1.46179e10	−	1.46179e10i	−0.659524	−	0.659524i	−0.955267	+	0.295743i	$0.904433\pi$
$54$		−	4.51378e9i		−	0.182044i
$55$	1.91105e10	+	3.34799e10i	0.690391	+	1.20951i
$56$	1.42320e10			0.461465
$57$	−1.05744e10	+	1.05744e10i	−0.308323	+	0.308323i
$58$	−6.61506e9	−	6.61506e9i	−0.173767	−	0.173767i
$59$			5.45213e10i			1.29257i	0.763096	+	0.646285i	$0.223678\pi$
$59$			5.45213e10i			1.29257i	−0.763096	+	0.646285i	$0.776322\pi$
$60$	3.02628e10	+	8.26883e9i	0.648637	+	0.177230i
$61$	−1.89895e9			−0.0368583			−0.0184292	−	0.999830i	$-0.505867\pi$
$61$	−1.89895e9			−0.0368583			−0.0184292	+	0.999830i	$0.505867\pi$
$62$	−3.42524e9	+	3.42524e9i	−0.0603032	+	0.0603032i
$63$	−4.66580e10	−	4.66580e10i	−0.746247	−	0.746247i
$64$			8.58993e9i			0.125000i
$65$	−4.56033e9	+	1.66902e10i	−0.0604667	+	0.221300i
$66$	1.09463e11			1.32435
$67$	−5.73241e10	+	5.73241e10i	−0.633706	+	0.633706i	−0.948996	−	0.315289i	$-0.897898\pi$
$67$	−5.73241e10	+	5.73241e10i	−0.633706	+	0.633706i	0.315289	+	0.948996i	$0.397898\pi$
$68$	−4.42434e10	−	4.42434e10i	−0.447502	−	0.447502i
$69$		−	2.84561e11i		−	2.63682i
$70$	−9.43007e10	+	5.38272e10i	−0.801543	+	0.457523i
$71$	1.06263e11			0.829526			0.414763	−	0.909929i	$-0.363864\pi$
$71$	1.06263e11			0.829526			0.414763	+	0.909929i	$0.363864\pi$
$72$	2.81611e10	−	2.81611e10i	0.202141	−	0.202141i
$73$	−5.40348e10	−	5.40348e10i	−0.357056	−	0.357056i	0.505671	−	0.862727i	$-0.331245\pi$
$73$	−5.40348e10	−	5.40348e10i	−0.357056	−	0.357056i	−0.862727	+	0.505671i	$0.831245\pi$
$74$		−	9.73068e9i		−	0.0592588i
$75$	−2.31794e11	+	5.96686e10i	−1.30237	+	0.335257i
$76$	3.12396e10			0.162115
$77$	−2.67894e11	+	2.67894e11i	−1.28534	+	1.28534i
$78$	3.47393e10	+	3.47393e10i	0.154260	+	0.154260i
$79$		−	7.36076e10i		−	0.302803i	−0.988472	−	0.151401i	$-0.951621\pi$
$79$		−	7.36076e10i		−	0.302803i	0.988472	−	0.151401i	$-0.0483786\pi$
$80$	−3.24881e10	−	5.69165e10i	−0.123932	−	0.217119i
$81$	3.26146e11			1.15479
$82$	2.53277e11	−	2.53277e11i	0.833130	−	0.833130i
$83$	3.76191e11	+	3.76191e11i	1.15064	+	1.15064i	0.986424	+	0.164216i	$0.0525095\pi$
$83$	3.76191e11	+	3.76191e11i	1.15064	+	1.15064i	0.164216	+	0.986424i	$0.447490\pi$
$84$			3.08316e11i			0.877648i
$85$	4.60488e11	+	1.25821e11i	1.22097	+	0.333610i
$86$	−3.60532e11			−0.891154
$87$	1.43306e11	−	1.43306e11i	0.330482	−	0.330482i
$88$	−1.61691e11	−	1.61691e11i	−0.348169	−	0.348169i
$89$		−	4.32379e11i		−	0.870010i	−0.900428	−	0.435005i	$-0.856747\pi$
$89$		−	4.32379e11i		−	0.870010i	0.900428	−	0.435005i	$-0.143253\pi$
$90$	−8.00855e10	+	2.93102e11i	−0.150695	+	0.551523i
$91$	−1.70039e11			−0.299433
$92$	−4.20335e11	+	4.20335e11i	−0.693216	+	0.693216i
$93$	−7.42028e10	−	7.42028e10i	−0.114689	−	0.114689i
$94$		−	1.64155e11i		−	0.237951i
$95$	−2.06992e11	+	1.18152e11i	−0.281587	+	0.160731i
$96$	−1.86088e11			−0.237734
$97$	9.08930e11	−	9.08930e11i	1.09119	−	1.09119i	0.0957876	−	0.995402i	$-0.469463\pi$
$97$	9.08930e11	−	9.08930e11i	1.09119	−	1.09119i	0.995402	−	0.0957876i	$-0.0305370\pi$
$98$	−3.11638e11	−	3.11638e11i	−0.351799	−	0.351799i
$99$			1.06017e12i			1.12607i
$100$	4.30530e11	+	2.54252e11i	0.430530	+	0.254252i
$101$	−8.20531e11			−0.772978			−0.386489	−	0.922294i	$-0.626312\pi$
$101$	−8.20531e11			−0.772978			−0.386489	+	0.922294i	$0.626312\pi$
$102$	9.58468e11	−	9.58468e11i	0.851092	−	0.851092i
$103$	2.81622e11	+	2.81622e11i	0.235854	+	0.235854i	0.815131	−	0.579277i	$-0.196665\pi$
$103$	2.81622e11	+	2.81622e11i	0.235854	+	0.235854i	−0.579277	+	0.815131i	$0.696665\pi$
$104$		−	1.02629e11i		−	0.0811094i
$105$	−1.16609e12	−	2.04289e12i	−0.870152	−	1.52443i
$106$	−9.35548e11			−0.659524
$107$	−1.84117e12	+	1.84117e12i	−1.22685	+	1.22685i	−0.261698	+	0.965150i	$0.584282\pi$
$107$	−1.84117e12	+	1.84117e12i	−1.22685	+	1.22685i	−0.965150	+	0.261698i	$0.915718\pi$
$108$	−1.44441e11	−	1.44441e11i	−0.0910222	−	0.0910222i
$109$			5.44594e11i			0.324724i	0.986731	+	0.162362i	$0.0519112\pi$
$109$			5.44594e11i			0.324724i	−0.986731	+	0.162362i	$0.948089\pi$
$110$	1.68289e12	+	4.59823e11i	0.949949	+	0.259558i
$111$	2.10801e11			0.112703
$112$	4.55425e11	−	4.55425e11i	0.230732	−	0.230732i
$113$	−7.55121e11	−	7.55121e11i	−0.362698	−	0.362698i	0.502107	−	0.864805i	$-0.332558\pi$
$113$	−7.55121e11	−	7.55121e11i	−0.362698	−	0.362698i	−0.864805	+	0.502107i	$0.832558\pi$
$114$			6.76761e11i			0.308323i
$115$	1.19536e12	−	4.37488e12i	0.516789	−	1.89138i
$116$	−4.23364e11			−0.173767
$117$	−3.36458e11	+	3.36458e11i	−0.131164	+	0.131164i
$118$	1.74468e12	+	1.74468e12i	0.646285	+	0.646285i
$119$			4.69143e12i			1.65205i
$120$	1.23301e12	−	7.03808e11i	0.412934	−	0.235704i
$121$	2.94870e12			0.939547
$122$	−6.07665e10	+	6.07665e10i	−0.0184292	+	0.0184292i
$123$	5.48688e12	+	5.48688e12i	1.58451	+	1.58451i
$124$			2.19215e11i			0.0603032i
$125$	−3.81428e12	−	5.63506e10i	−0.999891	−	0.0147720i
$126$	−2.98611e12			−0.746247
$127$	−1.69719e12	+	1.69719e12i	−0.404490	+	0.404490i	−0.879812	−	0.475322i	$-0.842331\pi$
$127$	−1.69719e12	+	1.69719e12i	−0.404490	+	0.404490i	0.475322	+	0.879812i	$0.342331\pi$
$128$	2.74878e11	+	2.74878e11i	0.0625000	+	0.0625000i
$129$		−	7.81040e12i		−	1.69486i
$130$	3.88156e11	+	6.80017e11i	0.0804167	+	0.140883i
$131$	−5.04784e12			−0.998798			−0.499399	−	0.866372i	$-0.666446\pi$
$131$	−5.04784e12			−0.998798			−0.499399	+	0.866372i	$0.666446\pi$
$132$	3.50280e12	−	3.50280e12i	0.662174	−	0.662174i
$133$	−1.65628e12	−	1.65628e12i	−0.299242	−	0.299242i
$134$			3.66874e12i			0.633706i
$135$	1.50335e12	+	4.10766e11i	0.248346	+	0.0678566i
$136$	−2.83158e12			−0.447502
$137$	−3.52277e11	+	3.52277e11i	−0.0532796	+	0.0532796i	−0.733245	−	0.679965i	$-0.761995\pi$
$137$	−3.52277e11	+	3.52277e11i	−0.0532796	+	0.0532796i	0.679965	+	0.733245i	$0.261995\pi$
$138$	−9.10594e12	−	9.10594e12i	−1.31841	−	1.31841i
$139$		−	4.57452e12i		−	0.634245i	−0.948385	−	0.317122i	$-0.897283\pi$
$139$		−	4.57452e12i		−	0.634245i	0.948385	−	0.317122i	$-0.102717\pi$
$140$	−1.29515e12	+	4.74009e12i	−0.172010	+	0.629533i
$141$	3.55618e12			0.452552
$142$	3.40040e12	−	3.40040e12i	0.414763	−	0.414763i
$143$	1.93182e12	+	1.93182e12i	0.225918	+	0.225918i
$144$		−	1.80231e12i		−	0.202141i
$145$	2.80519e12	−	1.60121e12i	0.301824	−	0.172282i
$146$	−3.45823e12			−0.357056
$147$	6.75119e12	−	6.75119e12i	0.669077	−	0.669077i
$148$	−3.11382e11	−	3.11382e11i	−0.0296294	−	0.0296294i
$149$			6.34636e12i			0.579972i	0.957031	+	0.289986i	$0.0936507\pi$
$149$			6.34636e12i			0.579972i	−0.957031	+	0.289986i	$0.906349\pi$
$150$	−5.50800e12	+	9.32680e12i	−0.483556	+	0.818813i
$151$	−5.88600e12			−0.496545			−0.248273	−	0.968690i	$-0.579863\pi$
$151$	−5.88600e12			−0.496545			−0.248273	+	0.968690i	$0.579863\pi$
$152$	9.99668e11	−	9.99668e11i	0.0810577	−	0.0810577i
$153$	9.28298e12	+	9.28298e12i	0.723667	+	0.723667i
$154$			1.71452e13i			1.28534i
$155$	−8.29097e11	−	1.45251e12i	−0.0597882	−	0.104744i
$156$	2.22331e12			0.154260
$157$	−1.55939e13	+	1.55939e13i	−1.04125	+	1.04125i	−0.0421422	+	0.999112i	$0.513418\pi$
$157$	−1.55939e13	+	1.55939e13i	−1.04125	+	1.04125i	−0.999112	+	0.0421422i	$0.986582\pi$
$158$	−2.35544e12	−	2.35544e12i	−0.151401	−	0.151401i
$159$		−	2.02673e13i		−	1.25433i
$160$	−2.86095e12	−	7.81708e11i	−0.170526	−	0.0465934i
$161$	4.45710e13			2.55916
$162$	1.04367e13	−	1.04367e13i	0.577394	−	0.577394i
$163$	−5.67738e12	−	5.67738e12i	−0.302707	−	0.302707i	0.539365	−	0.842072i	$-0.318664\pi$
$163$	−5.67738e12	−	5.67738e12i	−0.302707	−	0.302707i	−0.842072	+	0.539365i	$0.818664\pi$
$164$		−	1.62097e13i		−	0.833130i
$165$	−9.96140e12	+	3.64574e13i	−0.493647	+	1.80668i
$166$	2.40762e13			1.15064
$167$	−1.71694e13	+	1.71694e13i	−0.791510	+	0.791510i	−0.981740	−	0.190229i	$-0.939077\pi$
$167$	−1.71694e13	+	1.71694e13i	−0.791510	+	0.791510i	0.190229	+	0.981740i	$0.439077\pi$
$168$	9.86611e12	+	9.86611e12i	0.438824	+	0.438824i
$169$		−	2.20719e13i		−	0.947370i
$170$	1.87619e13	−	1.07093e13i	0.777290	−	0.443680i
$171$	−6.55458e12			−0.262161
$172$	−1.15370e13	+	1.15370e13i	−0.445577	+	0.445577i
$173$	−3.55587e13	−	3.55587e13i	−1.32638	−	1.32638i	−0.908502	−	0.417881i	$-0.862773\pi$
$173$	−3.55587e13	−	3.55587e13i	−1.32638	−	1.32638i	−0.417881	−	0.908502i	$-0.637227\pi$
$174$		−	9.17156e12i		−	0.330482i
$175$	−9.34595e12	−	3.63061e13i	−0.325383	−	1.26401i
$176$	−1.03482e13			−0.348169
$177$	−3.77960e13	+	3.77960e13i	−1.22915	+	1.22915i
$178$	−1.38361e13	−	1.38361e13i	−0.435005	−	0.435005i
$179$			1.20571e13i			0.366542i	0.983062	+	0.183271i	$0.0586685\pi$
$179$			1.20571e13i			0.366542i	−0.983062	+	0.183271i	$0.941331\pi$
$180$	6.81654e12	+	1.19420e13i	0.200414	+	0.351109i
$181$	1.17112e13			0.333065			0.166532	−	0.986036i	$-0.446743\pi$
$181$	1.17112e13			0.333065			0.166532	+	0.986036i	$0.446743\pi$
$182$	−5.44124e12	+	5.44124e12i	−0.149717	+	0.149717i
$183$	−1.31642e12	−	1.31642e12i	−0.0350499	−	0.0350499i
$184$			2.69014e13i			0.693216i
$185$	3.24088e12	+	8.85519e11i	0.0808413	+	0.0220886i
$186$	−4.74898e12			−0.114689
$187$	5.32997e13	−	5.32997e13i	1.24645	−	1.24645i
$188$	−5.25296e12	−	5.25296e12i	−0.118975	−	0.118975i
$189$			1.53161e13i			0.336028i
$190$	−2.84289e12	+	1.04046e13i	−0.0604281	+	0.221159i
$191$	3.21928e13			0.663069			0.331535	−	0.943443i	$-0.392434\pi$
$191$	3.21928e13			0.663069			0.331535	+	0.943443i	$0.392434\pi$
$192$	−5.95483e12	+	5.95483e12i	−0.118867	+	0.118867i
$193$	−8.62915e12	−	8.62915e12i	−0.166965	−	0.166965i	0.618679	−	0.785644i	$-0.287668\pi$
$193$	−8.62915e12	−	8.62915e12i	−0.166965	−	0.166965i	−0.785644	+	0.618679i	$0.787668\pi$
$194$		−	5.81715e13i		−	1.09119i
$195$	−1.47316e13	+	8.40883e12i	−0.267942	+	0.152942i
$196$	−1.99449e13			−0.351799
$197$	4.21221e13	−	4.21221e13i	0.720630	−	0.720630i	−0.248103	−	0.968734i	$-0.579807\pi$
$197$	4.21221e13	−	4.21221e13i	0.720630	−	0.720630i	0.968734	+	0.248103i	$0.0798072\pi$
$198$	3.39254e13	+	3.39254e13i	0.563033	+	0.563033i
$199$			9.89820e13i			1.59382i	0.604101	+	0.796908i	$0.293532\pi$
$199$			9.89820e13i			1.59382i	−0.604101	+	0.796908i	$0.706468\pi$
$200$	2.19130e13	−	5.64088e12i	0.342391	−	0.0881387i
$201$	−7.94779e13			−1.20523
$202$	−2.62570e13	+	2.62570e13i	−0.386489	+	0.386489i
$203$	2.24461e13	+	2.24461e13i	0.320749	+	0.320749i
$204$		−	6.13420e13i		−	0.851092i
$205$	6.13071e13	+	1.07405e14i	0.826014	+	1.44711i
$206$	1.80238e13			0.235854
$207$	8.81931e13	−	8.81931e13i	1.12102	−	1.12102i
$208$	−3.28414e12	−	3.28414e12i	−0.0405547	−	0.0405547i
$209$			3.76341e13i			0.451548i
$210$	−1.02687e14	−	2.80576e13i	−1.19729	−	0.327141i
$211$	−6.37806e13			−0.722760			−0.361380	−	0.932419i	$-0.617694\pi$
$211$	−6.37806e13			−0.722760			−0.361380	+	0.932419i	$0.617694\pi$
$212$	−2.99375e13	+	2.99375e13i	−0.329762	+	0.329762i
$213$	7.36647e13	+	7.36647e13i	0.788828	+	0.788828i
$214$			1.17835e14i			1.22685i
$215$	3.28094e13	−	1.20078e14i	0.332176	−	1.21572i
$216$	−9.24422e12			−0.0910222
$217$	1.16224e13	−	1.16224e13i	0.111311	−	0.111311i
$218$	1.74270e13	+	1.74270e13i	0.162362	+	0.162362i
$219$		−	7.49174e13i		−	0.679076i
$220$	6.85669e13	−	3.91382e13i	0.604754	−	0.345195i
$221$	3.38306e13			0.290373
$222$	6.74563e12	−	6.74563e12i	0.0563514	−	0.0563514i
$223$	−6.42199e13	−	6.42199e13i	−0.522204	−	0.522204i	0.396032	−	0.918237i	$-0.370387\pi$
$223$	−6.42199e13	−	6.42199e13i	−0.522204	−	0.522204i	−0.918237	+	0.396032i	$0.870387\pi$
$224$		−	2.91472e13i		−	0.230732i
$225$	−9.03321e13	−	5.33462e13i	−0.696221	−	0.411158i
$226$	−4.83277e13			−0.362698
$227$	−1.01893e14	+	1.01893e14i	−0.744710	+	0.744710i	−0.973480	−	0.228770i	$-0.926530\pi$
$227$	−1.01893e14	+	1.01893e14i	−0.744710	+	0.744710i	0.228770	+	0.973480i	$0.426530\pi$
$228$	2.16563e13	+	2.16563e13i	0.154162	+	0.154162i
$229$		−	1.57847e14i		−	1.09452i	−0.836964	−	0.547258i	$-0.815672\pi$
$229$		−	1.57847e14i		−	1.09452i	0.836964	−	0.547258i	$-0.184328\pi$
$230$	−1.01744e14	−	1.78248e14i	−0.687295	−	1.20408i
$231$	−3.71426e14			−2.44456
$232$	−1.35477e13	+	1.35477e13i	−0.0868833	+	0.0868833i
$233$	7.13494e13	+	7.13494e13i	0.445918	+	0.445918i	0.893995	−	0.448077i	$-0.147891\pi$
$233$	7.13494e13	+	7.13494e13i	0.445918	+	0.445918i	−0.448077	+	0.893995i	$0.647891\pi$
$234$			2.15333e13i			0.131164i
$235$	5.46732e13	+	1.49386e13i	0.324614	+	0.0886955i
$236$	1.11660e14			0.646285
$237$	5.10272e13	−	5.10272e13i	0.287946	−	0.287946i
$238$	1.50126e14	+	1.50126e14i	0.826025	+	0.826025i
$239$			3.51186e13i			0.188430i	0.995552	+	0.0942149i	$0.0300341\pi$
$239$			3.51186e13i			0.188430i	−0.995552	+	0.0942149i	$0.969966\pi$
$240$	1.69346e13	−	6.19783e13i	0.0886149	−	0.324319i
$241$	−6.63639e13			−0.338711			−0.169356	−	0.985555i	$-0.554169\pi$
$241$	−6.63639e13			−0.338711			−0.169356	+	0.985555i	$0.554169\pi$
$242$	9.43585e13	−	9.43585e13i	0.469774	−	0.469774i
$243$	1.88614e14	+	1.88614e14i	0.916087	+	0.916087i
$244$			3.88906e12i			0.0184292i
$245$	1.32154e14	−	7.54338e13i	0.611059	−	0.348794i
$246$	3.51160e14			1.58451
$247$	−1.19436e13	+	1.19436e13i	−0.0525963	+	0.0525963i
$248$	7.01489e12	+	7.01489e12i	0.0301516	+	0.0301516i
$249$			5.21576e14i			2.18837i
$250$	−1.23860e14	+	1.20254e14i	−0.507331	+	0.492559i
$251$	8.57059e13			0.342743			0.171371	−	0.985206i	$-0.445180\pi$
$251$	8.57059e13			0.342743			0.171371	+	0.985206i	$0.445180\pi$
$252$	−9.55555e13	+	9.55555e13i	−0.373123	+	0.373123i
$253$	−5.06375e14	−	5.06375e14i	−1.93085	−	1.93085i
$254$			1.08620e14i			0.404490i
$255$	2.32002e14	+	4.06449e14i	0.843823	+	1.47831i
$256$	1.75922e13			0.0625000
$257$	3.06420e13	−	3.06420e13i	0.106345	−	0.106345i	−0.651932	−	0.758277i	$-0.726041\pi$
$257$	3.06420e13	−	3.06420e13i	0.106345	−	0.106345i	0.758277	+	0.651932i	$0.226041\pi$
$258$	−2.49933e14	−	2.49933e14i	−0.847432	−	0.847432i
$259$			3.30180e13i			0.109383i
$260$	3.41815e13	+	9.33955e12i	0.110650	+	0.0302333i
$261$	8.88286e13			0.281002
$262$	−1.61531e14	+	1.61531e14i	−0.499399	+	0.499399i
$263$	3.74884e12	+	3.74884e12i	0.0113283	+	0.0113283i	0.712748	−	0.701420i	$-0.247450\pi$
$263$	3.74884e12	+	3.74884e12i	0.0113283	+	0.0113283i	−0.701420	+	0.712748i	$0.747450\pi$
$264$		−	2.24179e14i		−	0.662174i
$265$	8.51375e13	−	3.11592e14i	0.245836	−	0.899727i
$266$	−1.06002e14			−0.299242
$267$	2.99739e14	−	2.99739e14i	0.827325	−	0.827325i
$268$	1.17400e14	+	1.17400e14i	0.316853	+	0.316853i
$269$		−	4.02037e14i		−	1.06109i	−0.847656	−	0.530545i	$-0.821987\pi$
$269$		−	4.02037e14i		−	1.06109i	0.847656	−	0.530545i	$-0.178013\pi$
$270$	6.12517e13	−	3.49627e13i	0.158101	−	0.0902448i
$271$	2.49409e14			0.629645			0.314823	−	0.949150i	$-0.398055\pi$
$271$	2.49409e14			0.629645			0.314823	+	0.949150i	$0.398055\pi$
$272$	−9.06104e13	+	9.06104e13i	−0.223751	+	0.223751i
$273$	−1.17877e14	−	1.17877e14i	−0.284742	−	0.284742i
$274$			2.25457e13i			0.0532796i
$275$	−3.06296e14	+	5.18656e14i	−0.708182	+	1.19918i
$276$	−5.82780e14			−1.31841
$277$	1.89415e14	−	1.89415e14i	0.419310	−	0.419310i	−0.465656	−	0.884966i	$-0.654182\pi$
$277$	1.89415e14	−	1.89415e14i	0.419310	−	0.419310i	0.884966	+	0.465656i	$0.154182\pi$
$278$	−1.46385e14	−	1.46385e14i	−0.317122	−	0.317122i
$279$		−	4.59949e13i		−	0.0975179i
$280$	1.10238e14	+	1.93128e14i	0.228762	+	0.400772i
$281$	−2.80892e14			−0.570560			−0.285280	−	0.958444i	$-0.592087\pi$
$281$	−2.80892e14			−0.570560			−0.285280	+	0.958444i	$0.592087\pi$
$282$	1.13798e14	−	1.13798e14i	0.226276	−	0.226276i
$283$	3.02749e13	+	3.02749e13i	0.0589338	+	0.0589338i	0.735959	−	0.677026i	$-0.236731\pi$
$283$	3.02749e13	+	3.02749e13i	0.0589338	+	0.0589338i	−0.677026	+	0.735959i	$0.736731\pi$
$284$		−	2.17626e14i		−	0.414763i
$285$	−2.25401e14	−	6.15871e13i	−0.420616	−	0.114927i
$286$	1.23637e14			0.225918
$287$	−8.59415e14	+	8.59415e14i	−1.53784	+	1.53784i
$288$	−5.76738e13	−	5.76738e13i	−0.101070	−	0.101070i
$289$		−	3.50775e14i		−	0.602063i
$290$	3.85273e13	−	1.41005e14i	0.0647710	−	0.237053i
$291$	1.26020e15			2.07531
$292$	−1.10663e14	+	1.10663e14i	−0.178528	+	0.178528i
$293$	3.38363e14	+	3.38363e14i	0.534783	+	0.534783i	0.921992	−	0.387209i	$-0.126561\pi$
$293$	3.38363e14	+	3.38363e14i	0.534783	+	0.534783i	−0.387209	+	0.921992i	$0.626561\pi$
$294$		−	4.32076e14i		−	0.669077i
$295$	−7.39851e14	+	4.22310e14i	−1.12257	+	0.640765i
$296$	−1.99284e13			−0.0296294
$297$	1.74007e14	−	1.74007e14i	0.253529	−	0.253529i
$298$	2.03084e14	+	2.03084e14i	0.289986	+	0.289986i
$299$		−	3.21408e14i		−	0.449811i
$300$	1.22201e14	+	4.74714e14i	0.167629	+	0.651185i
$301$	1.22335e15			1.64495
$302$	−1.88352e14	+	1.88352e14i	−0.248273	+	0.248273i
$303$	−5.68820e14	−	5.68820e14i	−0.735053	−	0.735053i
$304$		−	6.39787e13i		−	0.0810577i
$305$	−1.47089e13	−	2.57687e13i	−0.0182718	−	0.0320106i
$306$	5.94111e14			0.723667
$307$	2.06845e14	−	2.06845e14i	0.247067	−	0.247067i	−0.572699	−	0.819766i	$-0.694104\pi$
$307$	2.06845e14	−	2.06845e14i	0.247067	−	0.247067i	0.819766	+	0.572699i	$0.194104\pi$
$308$	5.48647e14	+	5.48647e14i	0.642671	+	0.642671i
$309$			3.90459e14i			0.448564i
$310$	−7.30114e13	−	1.99492e13i	−0.0822660	−	0.0224779i
$311$	1.98926e14			0.219852			0.109926	−	0.993940i	$-0.464939\pi$
$311$	1.98926e14			0.219852			0.109926	+	0.993940i	$0.464939\pi$
$312$	7.11460e13	−	7.11460e13i	0.0771300	−	0.0771300i
$313$	5.63715e14	+	5.63715e14i	0.599506	+	0.599506i	0.940181	−	0.340675i	$-0.110656\pi$
$313$	5.63715e14	+	5.63715e14i	0.599506	+	0.599506i	−0.340675	+	0.940181i	$0.610656\pi$
$314$			9.98009e14i			1.04125i
$315$	2.71744e14	−	9.94548e14i	0.278162	−	1.01803i
$316$	−1.50748e14			−0.151401
$317$	−1.09305e15	+	1.09305e15i	−1.07717	+	1.07717i	−0.0804083	+	0.996762i	$0.525622\pi$
$317$	−1.09305e15	+	1.09305e15i	−1.07717	+	1.07717i	−0.996762	+	0.0804083i	$0.974378\pi$
$318$	−6.48553e14	−	6.48553e14i	−0.627166	−	0.627166i
$319$		−	5.10024e14i		−	0.484001i
$320$	−1.16565e14	+	6.65357e13i	−0.108560	+	0.0619662i
$321$	−2.55272e15			−2.33331
$322$	1.42627e15	−	1.42627e15i	1.27958	−	1.27958i
$323$	3.29529e14	+	3.29529e14i	0.290188	+	0.290188i
$324$		−	6.67948e14i		−	0.577394i
$325$	−2.61808e14	+	6.73951e13i	−0.222169	+	0.0571910i
$326$	−3.63352e14			−0.302707
$327$	−3.77531e14	+	3.77531e14i	−0.308792	+	0.308792i
$328$	−5.18711e14	−	5.18711e14i	−0.416565	−	0.416565i
$329$			5.57007e14i			0.439223i
$330$	8.47872e14	+	1.48540e15i	0.656518	+	1.15017i
$331$	−8.57288e14			−0.651867			−0.325933	−	0.945393i	$-0.605679\pi$
$331$	−8.57288e14			−0.651867			−0.325933	+	0.945393i	$0.605679\pi$
$332$	7.70439e14	−	7.70439e14i	0.575320	−	0.575320i
$333$	6.53330e13	+	6.53330e13i	0.0479145	+	0.0479145i
$334$			1.09884e15i			0.791510i
$335$	−1.22190e15	−	3.33866e14i	−0.864506	−	0.236212i
$336$	6.31431e14			0.438824
$337$	1.04641e15	−	1.04641e15i	0.714368	−	0.714368i	−0.253078	−	0.967446i	$-0.581443\pi$
$337$	1.04641e15	−	1.04641e15i	0.714368	−	0.714368i	0.967446	+	0.253078i	$0.0814429\pi$
$338$	−7.06301e14	−	7.06301e14i	−0.473685	−	0.473685i
$339$		−	1.04695e15i		−	0.689807i
$340$	2.57681e14	−	9.43080e14i	0.166805	−	0.610485i
$341$	−2.64087e14			−0.167966
$342$	−2.09746e14	+	2.09746e14i	−0.131080	+	0.131080i
$343$	−4.45466e14	−	4.45466e14i	−0.273558	−	0.273558i
$344$			7.38369e14i			0.445577i
$345$	3.86148e15	−	2.20414e15i	2.29002	−	1.30715i
$346$	−2.27576e15			−1.32638
$347$	7.48993e14	−	7.48993e14i	0.429043	−	0.429043i	−0.459259	−	0.888302i	$-0.651885\pi$
$347$	7.48993e14	−	7.48993e14i	0.429043	−	0.429043i	0.888302	+	0.459259i	$0.151885\pi$
$348$	−2.93490e14	−	2.93490e14i	−0.165241	−	0.165241i
$349$			1.57839e15i			0.873499i	0.899583	+	0.436750i	$0.143870\pi$
$349$			1.57839e15i			0.873499i	−0.899583	+	0.436750i	$0.856130\pi$
$350$	−1.46086e15	−	8.62724e14i	−0.794697	−	0.469314i
$351$	1.10446e14			0.0590621
$352$	−3.31143e14	+	3.31143e14i	−0.174085	+	0.174085i
$353$	4.98633e14	+	4.98633e14i	0.257711	+	0.257711i	0.824122	−	0.566412i	$-0.191669\pi$
$353$	4.98633e14	+	4.98633e14i	0.257711	+	0.257711i	−0.566412	+	0.824122i	$0.691669\pi$
$354$			2.41894e15i			1.22915i
$355$	8.23086e14	+	1.44198e15i	0.411221	+	0.720425i
$356$	−8.85512e14			−0.435005
$357$	−3.25225e15	+	3.25225e15i	−1.57100	+	1.57100i
$358$	3.85826e14	+	3.85826e14i	0.183271	+	0.183271i
$359$		−	2.29920e15i		−	1.07401i	−0.843578	−	0.537006i	$-0.819555\pi$
$359$		−	2.29920e15i		−	1.07401i	0.843578	−	0.537006i	$-0.180445\pi$
$360$	6.00273e14	+	1.64015e14i	0.275762	+	0.0753475i
$361$	1.98064e15			0.894874
$362$	3.74758e14	−	3.74758e14i	0.166532	−	0.166532i
$363$	2.04414e15	+	2.04414e15i	0.893450	+	0.893450i
$364$			3.48240e14i			0.149717i
$365$	3.14708e14	−	1.15179e15i	0.133092	−	0.487098i
$366$	−8.42508e13			−0.0350499
$367$	1.02618e15	−	1.02618e15i	0.419980	−	0.419980i	−0.465217	−	0.885197i	$-0.654024\pi$
$367$	1.02618e15	−	1.02618e15i	0.419980	−	0.419980i	0.885197	+	0.465217i	$0.154024\pi$
$368$	8.60846e14	+	8.60846e14i	0.346608	+	0.346608i
$369$			3.40106e15i			1.34728i
$370$	1.32045e14	−	7.53717e13i	0.0514649	−	0.0293763i
$371$	3.17448e15			1.21739
$372$	−1.51967e14	+	1.51967e14i	−0.0573446	+	0.0573446i
$373$	1.35142e15	+	1.35142e15i	0.501807	+	0.501807i	0.911999	−	0.410192i	$-0.134538\pi$
$373$	1.35142e15	+	1.35142e15i	0.501807	+	0.501807i	−0.410192	+	0.911999i	$0.634538\pi$
$374$		−	3.41118e15i		−	1.24645i
$375$	−2.60512e15	−	2.68325e15i	−0.936786	−	0.964881i
$376$	−3.36189e14			−0.118975
$377$	1.61862e14	−	1.61862e14i	0.0563764	−	0.0563764i
$378$	4.90114e14	+	4.90114e14i	0.168014	+	0.168014i
$379$			1.98764e15i			0.670659i	0.942101	+	0.335330i	$0.108848\pi$
$379$			1.98764e15i			0.670659i	−0.942101	+	0.335330i	$0.891152\pi$
$380$	2.41975e14	+	4.23920e14i	0.0803654	+	0.140793i
$381$	−2.35309e15			−0.769288
$382$	1.03017e15	−	1.03017e15i	0.331535	−	0.331535i
$383$	1.53481e15	+	1.53481e15i	0.486251	+	0.486251i	0.907121	−	0.420870i	$-0.138275\pi$
$383$	1.53481e15	+	1.53481e15i	0.486251	+	0.486251i	−0.420870	+	0.907121i	$0.638275\pi$
$384$			3.81109e14i			0.118867i
$385$	−5.71036e15	−	1.56026e15i	−1.75347	−	0.479108i
$386$	−5.52266e14			−0.166965
$387$	2.42065e15	−	2.42065e15i	0.720555	−	0.720555i
$388$	−1.86149e15	−	1.86149e15i	−0.545595	−	0.545595i
$389$		−	3.93922e15i		−	1.13687i	−0.822727	−	0.568437i	$-0.807548\pi$
$389$		−	3.93922e15i		−	1.13687i	0.822727	−	0.568437i	$-0.192452\pi$
$390$	−2.02328e14	+	7.40493e14i	−0.0575000	+	0.210442i
$391$	−8.86776e15			−2.48172
$392$	−6.38236e14	+	6.38236e14i	−0.175899	+	0.175899i
$393$	−3.49933e15	−	3.49933e15i	−0.949794	−	0.949794i
$394$		−	2.69581e15i		−	0.720630i
$395$	9.98851e14	−	5.70148e14i	0.262977	−	0.150108i
$396$	2.17123e15			0.563033
$397$	−1.45225e15	+	1.45225e15i	−0.370936	+	0.370936i	−0.867818	−	0.496882i	$-0.834478\pi$
$397$	−1.45225e15	+	1.45225e15i	−0.370936	+	0.370936i	0.496882	+	0.867818i	$0.334478\pi$
$398$	3.16743e15	+	3.16743e15i	0.796908	+	0.796908i
$399$		−	2.29637e15i		−	0.569121i
$400$	5.20709e14	−	8.81725e14i	0.127126	−	0.215265i
$401$	6.16700e15			1.48323			0.741614	−	0.670827i	$-0.234061\pi$
$401$	6.16700e15			1.48323			0.741614	+	0.670827i	$0.234061\pi$
$402$	−2.54329e15	+	2.54329e15i	−0.602615	+	0.602615i
$403$	−8.38112e13	−	8.38112e13i	−0.0195646	−	0.0195646i
$404$			1.68045e15i			0.386489i
$405$	2.52626e15	+	4.42579e15i	0.572463	+	1.00291i
$406$	1.43655e15			0.320749
$407$	3.75120e14	−	3.75120e14i	0.0825284	−	0.0825284i
$408$	−1.96294e15	−	1.96294e15i	−0.425546	−	0.425546i
$409$			6.15206e15i			1.31426i	0.753778	+	0.657129i	$0.228229\pi$
$409$			6.15206e15i			1.31426i	−0.753778	+	0.657129i	$0.771771\pi$
$410$	5.39878e15	+	1.47513e15i	1.13656	+	0.310547i
$411$	−4.88420e14			−0.101331
$412$	5.76762e14	−	5.76762e14i	0.117927	−	0.117927i
$413$	−5.92002e15	−	5.92002e15i	−1.19295	−	1.19295i
$414$		−	5.64436e15i		−	1.12102i
$415$	−2.19100e15	+	8.01878e15i	−0.428898	+	1.56971i
$416$	−2.10185e14			−0.0405547
$417$	3.17121e15	−	3.17121e15i	0.603127	−	0.603127i
$418$	1.20429e15	+	1.20429e15i	0.225774	+	0.225774i
$419$		−	4.63381e15i		−	0.856356i	−0.903694	−	0.428178i	$-0.859156\pi$
$419$		−	4.63381e15i		−	0.856356i	0.903694	−	0.428178i	$-0.140844\pi$
$420$	−4.18383e15	+	2.38815e15i	−0.762217	+	0.435076i
$421$	7.02627e15			1.26192			0.630960	−	0.775815i	$-0.282661\pi$
$421$	7.02627e15			1.26192			0.630960	+	0.775815i	$0.282661\pi$
$422$	−2.04098e15	+	2.04098e15i	−0.361380	+	0.361380i
$423$	1.10216e15	+	1.10216e15i	0.192398	+	0.192398i
$424$			1.91600e15i			0.329762i
$425$	1.85945e15	+	7.22338e15i	0.315538	+	1.22576i
$426$	4.71454e15			0.788828
$427$	2.06192e14	−	2.06192e14i	0.0340176	−	0.0340176i
$428$	3.77071e15	+	3.77071e15i	0.613424	+	0.613424i
$429$			2.67841e15i			0.429668i
$430$	−2.79260e15	−	4.89240e15i	−0.441772	−	0.773947i
$431$	−8.99169e15			−1.40274			−0.701371	−	0.712796i	$-0.747428\pi$
$431$	−8.99169e15			−1.40274			−0.701371	+	0.712796i	$0.747428\pi$
$432$	−2.95815e14	+	2.95815e14i	−0.0455111	+	0.0455111i
$433$	−3.84880e15	−	3.84880e15i	−0.583979	−	0.583979i	0.352015	−	0.935994i	$-0.385497\pi$
$433$	−3.84880e15	−	3.84880e15i	−0.583979	−	0.583979i	−0.935994	+	0.352015i	$0.885497\pi$
$434$		−	7.43836e14i		−	0.111311i
$435$	3.05466e15	+	8.34638e14i	0.450846	+	0.123186i
$436$	1.11533e15			0.162362
$437$	3.13070e15	−	3.13070e15i	0.449524	−	0.449524i
$438$	−2.39736e15	−	2.39736e15i	−0.339538	−	0.339538i
$439$			3.86183e15i			0.539518i	0.962928	+	0.269759i	$0.0869441\pi$
$439$			3.86183e15i			0.539518i	−0.962928	+	0.269759i	$0.913056\pi$
$440$	9.41718e14	−	3.44656e15i	0.129779	−	0.474975i
$441$	4.18475e15			0.568903
$442$	1.08258e15	−	1.08258e15i	0.145186	−	0.145186i
$443$	1.85550e15	+	1.85550e15i	0.245493	+	0.245493i	0.819118	−	0.573625i	$-0.194463\pi$
$443$	1.85550e15	+	1.85550e15i	0.245493	+	0.245493i	−0.573625	+	0.819118i	$0.694463\pi$
$444$		−	4.31721e14i		−	0.0563514i
$445$	5.86736e15	−	3.34911e15i	0.755584	−	0.431290i
$446$	−4.11007e15			−0.522204
$447$	−4.39951e15	+	4.39951e15i	−0.551517	+	0.551517i
$448$	−9.32710e14	−	9.32710e14i	−0.115366	−	0.115366i
$449$		−	8.18358e15i		−	0.998770i	−0.866380	−	0.499385i	$-0.833559\pi$
$449$		−	8.18358e15i		−	0.998770i	0.866380	−	0.499385i	$-0.166441\pi$
$450$	−4.59771e15	+	1.18355e15i	−0.553689	+	0.142531i
$451$	1.95277e16			2.32056
$452$	−1.54649e15	+	1.54649e15i	−0.181349	+	0.181349i
$453$	−4.08037e15	−	4.08037e15i	−0.472183	−	0.472183i
$454$			6.52113e15i			0.744710i
$455$	−1.31708e15	−	2.30742e15i	−0.148438	−	0.260051i
$456$	1.38601e15			0.154162
$457$	−1.10541e16	+	1.10541e16i	−1.21346	+	1.21346i	−0.243575	+	0.969882i	$0.578320\pi$
$457$	−1.10541e16	+	1.10541e16i	−1.21346	+	1.21346i	−0.969882	+	0.243575i	$0.921680\pi$
$458$	−5.05109e15	−	5.05109e15i	−0.547258	−	0.547258i
$459$		−	3.04725e15i		−	0.325861i
$460$	−8.95974e15	−	2.44811e15i	−0.945690	−	0.258394i
$461$	−1.07518e15			−0.112015			−0.0560076	−	0.998430i	$-0.517837\pi$
$461$	−1.07518e15			−0.112015			−0.0560076	+	0.998430i	$0.517837\pi$
$462$	−1.18856e16	+	1.18856e16i	−1.22228	+	1.22228i
$463$	8.87790e14	+	8.87790e14i	0.0901207	+	0.0901207i	0.750730	−	0.660609i	$-0.229702\pi$
$463$	8.87790e14	+	8.87790e14i	0.0901207	+	0.0901207i	−0.660609	+	0.750730i	$0.729702\pi$
$464$			8.67050e14i			0.0868833i
$465$	4.32170e14	−	1.58169e15i	0.0427501	−	0.156460i
$466$	4.56636e15			0.445918
$467$	5.43467e15	−	5.43467e15i	0.523928	−	0.523928i	−0.394827	−	0.918755i	$-0.629196\pi$
$467$	5.43467e15	−	5.43467e15i	0.523928	−	0.523928i	0.918755	+	0.394827i	$0.129196\pi$
$468$	6.89065e14	+	6.89065e14i	0.0655821	+	0.0655821i
$469$		−	1.24487e16i		−	1.16973i
$470$	2.22757e15	−	1.27151e15i	0.206655	−	0.117959i
$471$	−2.16204e16			−1.98033
$472$	3.57311e15	−	3.57311e15i	0.323142	−	0.323142i
$473$	−1.38986e16	−	1.38986e16i	−1.24109	−	1.24109i
$474$		−	3.26574e15i		−	0.287946i
$475$	−3.20663e15	−	1.89370e15i	−0.279182	−	0.164873i
$476$	9.60805e15			0.826025
$477$	6.28138e15	−	6.28138e15i	0.533267	−	0.533267i
$478$	1.12379e15	+	1.12379e15i	0.0942149	+	0.0942149i
$479$			2.20461e16i			1.82524i	0.408811	+	0.912619i	$0.365944\pi$
$479$			2.20461e16i			1.82524i	−0.408811	+	0.912619i	$0.634056\pi$
$480$	−1.44140e15	−	2.52521e15i	−0.117852	−	0.206467i
$481$	2.38097e14			0.0192258
$482$	−2.12364e15	+	2.12364e15i	−0.169356	+	0.169356i
$483$	3.08981e16	+	3.08981e16i	2.43360	+	2.43360i
$484$		−	6.03894e15i		−	0.469774i
$485$	1.93745e16	+	5.29377e15i	1.48861	+	0.406738i
$486$	1.20713e16			0.916087
$487$	1.09254e16	−	1.09254e16i	0.818964	−	0.818964i	−0.166994	−	0.985958i	$-0.553406\pi$
$487$	1.09254e16	−	1.09254e16i	0.818964	−	0.818964i	0.985958	+	0.166994i	$0.0534059\pi$
$488$	1.24450e14	+	1.24450e14i	0.00921458	+	0.00921458i
$489$		−	7.87149e15i		−	0.575710i
$490$	1.81504e15	−	6.64280e15i	0.131132	−	0.479926i
$491$	−1.96770e16			−1.40433			−0.702165	−	0.712014i	$-0.747783\pi$
$491$	−1.96770e16			−1.40433			−0.702165	+	0.712014i	$0.747783\pi$
$492$	1.12371e16	−	1.12371e16i	0.792254	−	0.792254i
$493$	−4.46583e15	−	4.46583e15i	−0.311043	−	0.311043i
$494$			7.64394e14i			0.0525963i
$495$	−1.43864e16	+	8.21183e15i	−0.977963	+	0.558224i
$496$	4.48953e14			0.0301516
$497$	−1.15382e16	+	1.15382e16i	−0.765594	+	0.765594i
$498$	1.66904e16	+	1.66904e16i	1.09419	+	1.09419i
$499$			1.52071e16i			0.985015i	0.870308	+	0.492508i	$0.163920\pi$
$499$			1.52071e16i			0.985015i	−0.870308	+	0.492508i	$0.836080\pi$
$500$	−1.15406e14	+	7.81165e15i	−0.00738598	+	0.499945i
$501$	−2.38048e16			−1.50535
$502$	2.74259e15	−	2.74259e15i	0.171371	−	0.171371i
$503$	3.74919e15	+	3.74919e15i	0.231488	+	0.231488i	0.813314	−	0.581825i	$-0.197661\pi$
$503$	3.74919e15	+	3.74919e15i	0.231488	+	0.231488i	−0.581825	+	0.813314i	$0.697661\pi$
$504$			6.11555e15i			0.373123i
$505$	−6.35565e15	−	1.11346e16i	−0.383188	−	0.671313i
$506$	−3.24080e16			−1.93085
$507$	1.53010e16	−	1.53010e16i	0.900889	−	0.900889i
$508$	3.47584e15	+	3.47584e15i	0.202245	+	0.202245i
$509$			2.23578e16i			1.28565i	0.766013	+	0.642826i	$0.222238\pi$
$509$			2.23578e16i			1.28565i	−0.766013	+	0.642826i	$0.777762\pi$
$510$	2.04304e16	+	5.58229e15i	1.16107	+	0.317242i
$511$	1.17344e16			0.659075
$512$	5.62950e14	−	5.62950e14i	0.0312500	−	0.0312500i
$513$	1.07581e15	+	1.07581e15i	0.0590244	+	0.0590244i
$514$		−	1.96109e15i		−	0.106345i
$515$	−1.64022e15	+	6.00298e15i	−0.0879139	+	0.321753i
$516$	−1.59957e16			−0.847432
$517$	6.32820e15	−	6.32820e15i	0.331388	−	0.331388i
$518$	1.05657e15	+	1.05657e15i	0.0546917	+	0.0546917i
$519$		−	4.93009e16i		−	2.52261i
$520$	1.39267e15	−	7.94943e14i	0.0704417	−	0.0402083i
$521$	1.48877e16			0.744389			0.372195	−	0.928155i	$-0.378605\pi$
$521$	1.48877e16			0.744389			0.372195	+	0.928155i	$0.378605\pi$
$522$	2.84252e15	−	2.84252e15i	0.140501	−	0.140501i
$523$	−2.00761e16	−	2.00761e16i	−0.981002	−	0.981002i	0.0188209	−	0.999823i	$-0.494009\pi$
$523$	−2.00761e16	−	2.00761e16i	−0.981002	−	0.981002i	−0.999823	+	0.0188209i	$0.994009\pi$
$524$			1.03380e16i			0.499399i
$525$	1.86896e16	−	3.16475e16i	0.892576	−	1.51141i
$526$	2.39926e14			0.0113283
$527$	−2.31238e15	+	2.31238e15i	−0.107943	+	0.107943i
$528$	−7.17374e15	−	7.17374e15i	−0.331087	−	0.331087i
$529$			6.23337e16i			2.84439i
$530$	−7.24654e15	−	1.26953e16i	−0.326946	−	0.572782i
$531$	−2.34280e16			−1.04512
$532$	−3.39205e15	+	3.39205e15i	−0.149621	+	0.149621i
$533$	6.19737e15	+	6.19737e15i	0.270299	+	0.270299i
$534$		−	1.91833e16i		−	0.827325i
$535$	−3.92458e16	−	1.07233e16i	−1.67367	−	0.457304i
$536$	7.51358e15			0.316853
$537$	−8.35836e15	+	8.35836e15i	−0.348558	+	0.348558i
$538$	−1.28652e16	−	1.28652e16i	−0.530545	−	0.530545i
$539$		−	2.40274e16i		−	0.979884i
$540$	8.41249e14	−	3.07886e15i	0.0339283	−	0.124173i
$541$	1.82917e16			0.729575			0.364787	−	0.931091i	$-0.381142\pi$
$541$	1.82917e16			0.729575			0.364787	+	0.931091i	$0.381142\pi$
$542$	7.98108e15	−	7.98108e15i	0.314823	−	0.314823i
$543$	8.11857e15	+	8.11857e15i	0.316724	+	0.316724i
$544$			5.79907e15i			0.223751i
$545$	−7.39011e15	+	4.21830e15i	−0.282015	+	0.160975i
$546$	−7.54410e15			−0.284742
$547$	1.88442e16	−	1.88442e16i	0.703485	−	0.703485i	−0.261672	−	0.965157i	$-0.584274\pi$
$547$	1.88442e16	−	1.88442e16i	0.703485	−	0.703485i	0.965157	+	0.261672i	$0.0842739\pi$
$548$	7.21463e14	+	7.21463e14i	0.0266398	+	0.0266398i
$549$		−	8.15988e14i		−	0.0298023i
$550$	6.79552e15	+	2.63985e16i	0.245497	+	0.953680i
$551$	3.15326e15			0.112681
$552$	−1.86490e16	+	1.86490e16i	−0.659205	+	0.659205i
$553$	7.99244e15	+	7.99244e15i	0.279466	+	0.279466i
$554$		−	1.21225e16i		−	0.419310i
$555$	1.63282e15	+	2.86056e15i	0.0558701	+	0.0978798i
$556$	−9.36862e15			−0.317122
$557$	−3.81650e16	+	3.81650e16i	−1.27801	+	1.27801i	−0.336228	+	0.941781i	$0.609151\pi$
$557$	−3.81650e16	+	3.81650e16i	−1.27801	+	1.27801i	−0.941781	+	0.336228i	$0.890849\pi$
$558$	−1.47184e15	−	1.47184e15i	−0.0487590	−	0.0487590i
$559$		−	8.82176e15i		−	0.289124i
$560$	9.70771e15	+	2.65248e15i	0.314767	+	0.0860049i
$561$	7.38982e16			2.37059
$562$	−8.98855e15	+	8.98855e15i	−0.285280	+	0.285280i
$563$	2.88948e16	+	2.88948e16i	0.907337	+	0.907337i	0.996057	−	0.0887193i	$-0.0282774\pi$
$563$	2.88948e16	+	2.88948e16i	0.907337	+	0.907337i	−0.0887193	+	0.996057i	$0.528277\pi$
$564$		−	7.28305e15i		−	0.226276i
$565$	4.39796e15	−	1.60959e16i	0.135195	−	0.494795i
$566$	1.93760e15			0.0589338
$567$	−3.54136e16	+	3.54136e16i	−1.06579	+	1.06579i
$568$	−6.96402e15	−	6.96402e15i	−0.207382	−	0.207382i
$569$		−	1.30566e15i		−	0.0384730i	−0.999815	−	0.0192365i	$-0.993876\pi$
$569$		−	1.30566e15i		−	0.0384730i	0.999815	−	0.0192365i	$-0.00612355\pi$
$570$	−9.18361e15	+	5.24203e15i	−0.267771	+	0.152845i
$571$	3.75635e16			1.08380			0.541901	−	0.840442i	$-0.317705\pi$
$571$	3.75635e16			1.08380			0.541901	+	0.840442i	$0.317705\pi$
$572$	3.95638e15	−	3.95638e15i	0.112959	−	0.112959i
$573$	2.23171e16	+	2.23171e16i	0.630537	+	0.630537i
$574$			5.50025e16i			1.53784i
$575$	6.86259e16	−	1.76658e16i	1.89881	−	0.488793i
$576$	−3.69113e15			−0.101070
$577$	3.04535e16	−	3.04535e16i	0.825243	−	0.825243i	−0.161611	−	0.986854i	$-0.551669\pi$
$577$	3.04535e16	−	3.04535e16i	0.825243	−	0.825243i	0.986854	+	0.161611i	$0.0516691\pi$
$578$	−1.12248e16	−	1.12248e16i	−0.301031	−	0.301031i
$579$		−	1.19640e16i		−	0.317546i
$580$	−3.27928e15	−	5.74503e15i	−0.0861412	−	0.150912i
$581$	−8.16949e16			−2.12392
$582$	4.03264e16	−	4.03264e16i	1.03765	−	1.03765i
$583$	−3.60655e16	−	3.60655e16i	−0.918504	−	0.918504i
$584$			7.08245e15i			0.178528i
$585$	−7.17184e15	−	1.95959e15i	−0.178935	−	0.0488911i
$586$	2.16553e16			0.534783
$587$	−1.63098e16	+	1.63098e16i	−0.398677	+	0.398677i	−0.877766	−	0.479089i	$-0.840967\pi$
$587$	−1.63098e16	+	1.63098e16i	−0.398677	+	0.398677i	0.479089	+	0.877766i	$0.340967\pi$
$588$	−1.38264e16	−	1.38264e16i	−0.334539	−	0.334539i
$589$		−	1.63274e15i		−	0.0391043i
$590$	−1.01613e16	+	3.71891e16i	−0.240901	+	0.881666i
$591$	5.84009e16			1.37055
$592$	−6.37710e14	+	6.37710e14i	−0.0148147	+	0.0148147i
$593$	−5.71566e16	−	5.71566e16i	−1.31443	−	1.31443i	−0.918112	−	0.396321i	$-0.870287\pi$
$593$	−5.71566e16	−	5.71566e16i	−1.31443	−	1.31443i	−0.396321	−	0.918112i	$-0.629713\pi$
$594$		−	1.11364e16i		−	0.253529i
$595$	−6.36625e16	+	3.63387e16i	−1.43477	+	0.818970i
$596$	1.29974e16			0.289986
$597$	−6.86176e16	+	6.86176e16i	−1.51562	+	1.51562i
$598$	−1.02851e16	−	1.02851e16i	−0.224905	−	0.224905i
$599$		−	8.06251e16i		−	1.74546i	−0.488205	−	0.872729i	$-0.662348\pi$
$599$		−	8.06251e16i		−	1.74546i	0.488205	−	0.872729i	$-0.337652\pi$
$600$	1.91013e16	+	1.12804e16i	0.409407	+	0.241778i
$601$	−8.64857e15			−0.183526			−0.0917629	−	0.995781i	$-0.529250\pi$
$601$	−8.64857e15			−0.183526			−0.0917629	+	0.995781i	$0.529250\pi$
$602$	3.91472e16	−	3.91472e16i	0.822473	−	0.822473i
$603$	−2.46323e16	−	2.46323e16i	−0.512392	−	0.512392i
$604$			1.20545e16i			0.248273i
$605$	2.28400e16	+	4.00137e16i	0.465761	+	0.815975i
$606$	−3.64045e16			−0.735053
$607$	1.43384e16	−	1.43384e16i	0.286660	−	0.286660i	−0.549098	−	0.835758i	$-0.685029\pi$
$607$	1.43384e16	−	1.43384e16i	0.286660	−	0.286660i	0.835758	+	0.549098i	$0.185029\pi$
$608$	−2.04732e15	−	2.04732e15i	−0.0405288	−	0.0405288i
$609$			3.11208e16i			0.610023i
$610$	−1.29528e15	−	3.53915e14i	−0.0251412	−	0.00686942i
$611$	4.01666e15			0.0772001
$612$	1.90115e16	−	1.90115e16i	0.361833	−	0.361833i
$613$	5.38046e15	+	5.38046e15i	0.101404	+	0.101404i	0.755989	−	0.654585i	$-0.227156\pi$
$613$	5.38046e15	+	5.38046e15i	0.101404	+	0.101404i	−0.654585	+	0.755989i	$0.727156\pi$
$614$		−	1.32381e16i		−	0.247067i
$615$	−3.19566e16	+	1.16957e17i	−0.590622	+	2.16160i
$616$	3.51134e16			0.642671
$617$	4.38241e16	−	4.38241e16i	0.794332	−	0.794332i	−0.187863	−	0.982195i	$-0.560156\pi$
$617$	4.38241e16	−	4.38241e16i	0.794332	−	0.794332i	0.982195	+	0.187863i	$0.0601561\pi$
$618$	1.24947e16	+	1.24947e16i	0.224282	+	0.224282i
$619$		−	1.02739e17i		−	1.82638i	−0.407533	−	0.913191i	$-0.633611\pi$
$619$		−	1.02739e17i		−	1.82638i	0.407533	−	0.913191i	$-0.366389\pi$
$620$	−2.97474e15	+	1.69799e15i	−0.0523720	+	0.0298941i
$621$	−2.89505e16			−0.504785
$622$	6.36564e15	−	6.36564e15i	0.109926	−	0.109926i
$623$	4.69484e16	+	4.69484e16i	0.802958	+	0.802958i
$624$		−	4.55335e15i		−	0.0771300i
$625$	−2.87799e16	−	5.21961e16i	−0.482846	−	0.875705i
$626$	3.60778e16			0.599506
$627$	−2.60892e16	+	2.60892e16i	−0.429394	+	0.429394i
$628$	3.19363e16	+	3.19363e16i	0.520627	+	0.520627i
$629$		−	6.56919e15i		−	0.106074i
$630$	−2.31297e16	−	4.05214e16i	−0.369937	−	0.648098i
$631$	−3.91465e16			−0.620178			−0.310089	−	0.950708i	$-0.600359\pi$
$631$	−3.91465e16			−0.620178			−0.310089	+	0.950708i	$0.600359\pi$
$632$	−4.82395e15	+	4.82395e15i	−0.0757007	+	0.0757007i
$633$	−4.42149e16	−	4.42149e16i	−0.687299	−	0.687299i
$634$			6.99552e16i			1.07717i
$635$	−3.61768e16	−	9.88472e15i	−0.551807	−	0.150772i
$636$	−4.15074e16			−0.627166
$637$	7.62540e15	−	7.62540e15i	0.114137	−	0.114137i
$638$	−1.63208e16	−	1.63208e16i	−0.242001	−	0.242001i
$639$			4.56614e16i			0.670724i
$640$	−1.60094e15	+	5.85922e15i	−0.0232967	+	0.0852629i
$641$	7.67551e16			1.10652			0.553260	−	0.833009i	$-0.313384\pi$
$641$	7.67551e16			1.10652			0.553260	+	0.833009i	$0.313384\pi$
$642$	−8.16869e16	+	8.16869e16i	−1.16665	+	1.16665i
$643$	6.77850e16	+	6.77850e16i	0.959109	+	0.959109i	0.999196	−	0.0400873i	$-0.0127636\pi$
$643$	6.77850e16	+	6.77850e16i	0.959109	+	0.959109i	−0.0400873	+	0.999196i	$0.512764\pi$
$644$		−	9.12814e16i		−	1.27958i
$645$	1.05987e17	−	6.04976e16i	1.47195	−	0.840194i
$646$	2.10899e16			0.290188
$647$	4.94066e16	−	4.94066e16i	0.673533	−	0.673533i	−0.284995	−	0.958529i	$-0.591992\pi$
$647$	4.94066e16	−	4.94066e16i	0.673533	−	0.673533i	0.958529	+	0.284995i	$0.0919921\pi$
$648$	−2.13743e16	−	2.13743e16i	−0.288697	−	0.288697i
$649$			1.34516e17i			1.80013i
$650$	−6.22123e15	+	1.05345e16i	−0.0824890	+	0.139680i
$651$	1.61141e16			0.211700
$652$	−1.16273e16	+	1.16273e16i	−0.151353	+	0.151353i
$653$	6.94722e16	+	6.94722e16i	0.896050	+	0.896050i	0.995084	−	0.0990341i	$-0.0315753\pi$
$653$	6.94722e16	+	6.94722e16i	0.896050	+	0.896050i	−0.0990341	+	0.995084i	$0.531575\pi$
$654$			2.41620e16i			0.308792i
$655$	−3.90994e16	−	6.84989e16i	−0.495134	−	0.867433i
$656$	−3.31975e16			−0.416565
$657$	2.32189e16	−	2.32189e16i	0.288702	−	0.288702i
$658$	1.78242e16	+	1.78242e16i	0.219612	+	0.219612i
$659$		−	7.24127e15i		−	0.0884102i	−0.999022	−	0.0442051i	$-0.985924\pi$
$659$		−	7.24127e15i		−	0.0884102i	0.999022	−	0.0442051i	$-0.0140755\pi$
$660$	7.46648e16	+	2.04009e16i	0.903342	+	0.246824i
$661$	5.63958e16			0.676142			0.338071	−	0.941121i	$-0.390226\pi$
$661$	5.63958e16			0.676142			0.338071	+	0.941121i	$0.390226\pi$
$662$	−2.74332e16	+	2.74332e16i	−0.325933	+	0.325933i
$663$	2.34525e16	+	2.34525e16i	0.276126	+	0.276126i
$664$		−	4.93081e16i		−	0.575320i
$665$	9.64644e15	−	3.53047e16i	0.111542	−	0.408228i
$666$	4.18131e15			0.0479145
$667$	−4.24277e16	+	4.24277e16i	−0.481831	+	0.481831i
$668$	3.51630e16	+	3.51630e16i	0.395755	+	0.395755i
$669$		−	8.90387e16i		−	0.993167i
$670$	−4.97846e16	+	2.84172e16i	−0.550359	+	0.314147i
$671$	−4.68512e15			−0.0513317
$672$	2.02058e16	−	2.02058e16i	0.219412	−	0.219412i
$673$	−2.12380e16	−	2.12380e16i	−0.228572	−	0.228572i	0.583524	−	0.812096i	$-0.301673\pi$
$673$	−2.12380e16	−	2.12380e16i	−0.228572	−	0.228572i	−0.812096	+	0.583524i	$0.801673\pi$
$674$		−	6.69702e16i		−	0.714368i
$675$	6.07053e15	+	2.35821e16i	0.0641807	+	0.249322i
$676$	−4.52033e16			−0.473685
$677$	−8.41421e16	+	8.41421e16i	−0.873940	+	0.873940i	−0.992899	−	0.118959i	$-0.962044\pi$
$677$	−8.41421e16	+	8.41421e16i	−0.873940	+	0.873940i	0.118959	+	0.992899i	$0.462044\pi$
$678$	−3.35024e16	−	3.35024e16i	−0.344903	−	0.344903i
$679$			1.97386e17i			2.01418i
$680$	−2.19327e16	−	3.84244e16i	−0.221840	−	0.388645i
$681$	−1.41271e17			−1.41635
$682$	−8.45078e15	+	8.45078e15i	−0.0839829	+	0.0839829i
$683$	−7.26967e16	−	7.26967e16i	−0.716128	−	0.716128i	0.251682	−	0.967810i	$-0.419016\pi$
$683$	−7.26967e16	−	7.26967e16i	−0.716128	−	0.716128i	−0.967810	+	0.251682i	$0.919016\pi$
$684$			1.34238e16i			0.131080i
$685$	−7.50904e15	−	2.05172e15i	−0.0726844	−	0.0198598i
$686$	−2.85098e16			−0.273558
$687$	1.09425e17	−	1.09425e17i	1.04082	−	1.04082i
$688$	2.36278e16	+	2.36278e16i	0.222789	+	0.222789i
$689$		−	2.28917e16i		−	0.213975i
$690$	5.30346e16	−	1.94100e17i	0.491434	−	1.79858i
$691$	−1.39364e17			−1.28022			−0.640109	−	0.768284i	$-0.721111\pi$
$691$	−1.39364e17			−1.28022			−0.640109	+	0.768284i	$0.721111\pi$
$692$	−7.28242e16	+	7.28242e16i	−0.663191	+	0.663191i
$693$	−1.15115e17	−	1.15115e17i	−1.03928	−	1.03928i
$694$		−	4.79356e16i		−	0.429043i
$695$	6.20761e16	−	3.54332e16i	0.550827	−	0.314414i
$696$	−1.87834e16			−0.165241
$697$	1.70987e17	−	1.70987e17i	1.49131	−	1.49131i
$698$	5.05086e16	+	5.05086e16i	0.436750	+	0.436750i
$699$			9.89236e16i			0.848080i
$700$	−7.43548e16	+	1.91405e16i	−0.632005	+	0.162692i
$701$	−2.10490e16			−0.177387			−0.0886937	−	0.996059i	$-0.528269\pi$
$701$	−2.10490e16			−0.177387			−0.0886937	+	0.996059i	$0.528269\pi$
$702$	3.53428e15	−	3.53428e15i	0.0295310	−	0.0295310i
$703$	2.31920e15	+	2.31920e15i	0.0192135	+	0.0192135i
$704$			2.11932e16i			0.174085i
$705$	2.75453e16	+	4.82572e16i	0.224343	+	0.393031i
$706$	3.19125e16			0.257711
$707$	8.90947e16	−	8.90947e16i	0.713404	−	0.713404i
$708$	7.74061e16	+	7.74061e16i	0.614576	+	0.614576i
$709$		−	1.18690e17i		−	0.934405i	−0.884150	−	0.467203i	$-0.845262\pi$
$709$		−	1.18690e17i		−	0.934405i	0.884150	−	0.467203i	$-0.154738\pi$
$710$	7.24820e16	+	1.98046e16i	0.565823	+	0.154602i
$711$	3.16294e16			0.244835
$712$	−2.83364e16	+	2.83364e16i	−0.217503	+	0.217503i
$713$	2.19688e16	+	2.19688e16i	0.167213	+	0.167213i
$714$			2.08144e17i			1.57100i
$715$	−1.12513e16	+	4.11782e16i	−0.0842105	+	0.308199i
$716$	2.46929e16			0.183271
$717$	−2.43454e16	+	2.43454e16i	−0.179185	+	0.179185i
$718$	−7.35743e16	−	7.35743e16i	−0.537006	−	0.537006i
$719$			2.44416e17i			1.76912i	0.466429	+	0.884559i	$0.345540\pi$
$719$			2.44416e17i			1.76912i	−0.466429	+	0.884559i	$0.654460\pi$
$720$	2.44572e16	−	1.39603e16i	0.175555	−	0.100207i
$721$	−6.11580e16			−0.435353
$722$	6.33804e16	−	6.33804e16i	0.447437	−	0.447437i
$723$	−4.60057e16	−	4.60057e16i	−0.322093	−	0.322093i
$724$		−	2.39845e16i		−	0.166532i
$725$	4.34567e16	+	2.56637e16i	0.299247	+	0.176722i
$726$	1.30825e17			0.893450
$727$	1.07973e16	−	1.07973e16i	0.0731319	−	0.0731319i	−0.669595	−	0.742727i	$-0.733532\pi$
$727$	1.07973e16	−	1.07973e16i	0.0731319	−	0.0731319i	0.742727	+	0.669595i	$0.233532\pi$
$728$	1.11437e16	+	1.11437e16i	0.0748583	+	0.0748583i
$729$			8.81797e16i			0.587494i
$730$	−2.67866e16	−	4.69280e16i	−0.177003	−	0.310095i
$731$	−2.43395e17			−1.59517
$732$	−2.69602e15	+	2.69602e15i	−0.0175250	+	0.0175250i
$733$	−5.84252e15	−	5.84252e15i	−0.0376684	−	0.0376684i	0.688022	−	0.725690i	$-0.258479\pi$
$733$	−5.84252e15	−	5.84252e15i	−0.0376684	−	0.0376684i	−0.725690	+	0.688022i	$0.758479\pi$
$734$		−	6.56758e16i		−	0.419980i
$735$	1.43907e17	+	3.93202e16i	0.912760	+	0.249397i
$736$	5.50941e16			0.346608
$737$	−1.41431e17	+	1.41431e17i	−0.882548	+	0.882548i
$738$	1.08834e17	+	1.08834e17i	0.673638	+	0.673638i
$739$			1.51594e17i			0.930714i	0.885123	+	0.465357i	$0.154074\pi$
$739$			1.51594e17i			0.930714i	−0.885123	+	0.465357i	$0.845926\pi$
$740$	1.81354e15	−	6.63733e15i	0.0110443	−	0.0404206i
$741$	−1.65595e16			−0.100032
$742$	1.01583e17	−	1.01583e17i	0.608695	−	0.608695i
$743$	2.17926e17	+	2.17926e17i	1.29532	+	1.29532i	0.931451	+	0.363867i	$0.118544\pi$
$743$	2.17926e17	+	2.17926e17i	1.29532	+	1.29532i	0.363867	+	0.931451i	$0.381456\pi$
$744$			9.72590e15i			0.0573446i
$745$	−8.61199e16	+	4.91575e16i	−0.503693	+	0.287509i
$746$	8.64908e16			0.501807
$747$	−1.61651e17	+	1.61651e17i	−0.930366	+	0.930366i
$748$	−1.09158e17	−	1.09158e17i	−0.623225	−	0.623225i
$749$		−	3.99834e17i		−	2.26459i
$750$	−1.69228e17	−	2.50010e15i	−0.950833	−	0.0140472i
$751$	7.99246e16			0.445493			0.222747	−	0.974876i	$-0.428498\pi$
$751$	7.99246e16			0.445493			0.222747	+	0.974876i	$0.428498\pi$
$752$	−1.07581e16	+	1.07581e16i	−0.0594877	+	0.0594877i
$753$	5.94142e16	+	5.94142e16i	0.325927	+	0.325927i
$754$		−	1.03592e16i		−	0.0563764i
$755$	−4.55917e16	−	7.98728e16i	−0.246152	−	0.431238i
$756$	3.13673e16			0.168014
$757$	1.76156e17	−	1.76156e17i	0.936100	−	0.936100i	−0.0619771	−	0.998078i	$-0.519741\pi$
$757$	1.76156e17	−	1.76156e17i	0.936100	−	0.936100i	0.998078	+	0.0619771i	$0.0197406\pi$
$758$	6.36044e16	+	6.36044e16i	0.335330	+	0.335330i
$759$		−	7.02071e17i		−	3.67224i
$760$	2.13086e16	+	5.82224e15i	0.110579	+	0.0302140i
$761$	9.26850e16			0.477201			0.238601	−	0.971118i	$-0.423311\pi$
$761$	9.26850e16			0.477201			0.238601	+	0.971118i	$0.423311\pi$
$762$	−7.52990e16	+	7.52990e16i	−0.384644	+	0.384644i
$763$	−5.91330e16	−	5.91330e16i	−0.299697	−	0.299697i
$764$		−	6.59309e16i		−	0.331535i
$765$	−5.40657e16	+	1.97873e17i	−0.269745	+	0.987231i
$766$	9.82276e16			0.486251
$767$	−4.26901e16	+	4.26901e16i	−0.209679	+	0.209679i
$768$	1.21955e16	+	1.21955e16i	0.0594336	+	0.0594336i
$769$			1.68915e17i			0.816790i	0.912805	+	0.408395i	$0.133911\pi$
$769$			1.68915e17i			0.816790i	−0.912805	+	0.408395i	$0.866089\pi$
$770$	−2.32660e17	+	1.32803e17i	−1.11629	+	0.637182i
$771$	4.24841e16			0.202256
$772$	−1.76725e16	+	1.76725e16i	−0.0834823	+	0.0834823i
$773$	−1.33864e17	−	1.33864e17i	−0.627461	−	0.627461i	0.319967	−	0.947429i	$-0.396328\pi$
$773$	−1.33864e17	−	1.33864e17i	−0.627461	−	0.627461i	−0.947429	+	0.319967i	$0.896328\pi$
$774$		−	1.54922e17i		−	0.720555i
$775$	1.32885e16	−	2.25016e16i	0.0613289	−	0.103849i
$776$	−1.19135e17			−0.545595
$777$	−2.28891e16	+	2.28891e16i	−0.104017	+	0.104017i
$778$	−1.26055e17	−	1.26055e17i	−0.568437	−	0.568437i
$779$			1.20732e17i			0.540253i
$780$	1.72213e16	+	3.01703e16i	0.0764712	+	0.133971i
$781$	2.62172e17			1.15526
$782$	−2.83768e17	+	2.83768e17i	−1.24086	+	1.24086i
$783$	−1.45796e16	−	1.45796e16i	−0.0632665	−	0.0632665i
$784$			4.08471e16i			0.175899i
$785$	−3.32395e17	−	9.08216e16i	−1.42049	−	0.388125i
$786$	−2.23957e17			−0.949794
$787$	−5.72302e16	+	5.72302e16i	−0.240867	+	0.240867i	−0.817209	−	0.576342i	$-0.804480\pi$
$787$	−5.72302e16	+	5.72302e16i	−0.240867	+	0.240867i	0.576342	+	0.817209i	$0.304480\pi$
$788$	−8.62660e16	−	8.62660e16i	−0.360315	−	0.360315i
$789$			5.19765e15i			0.0215449i
$790$	1.37185e16	−	5.02080e16i	0.0564345	−	0.206543i
$791$	1.63985e17			0.669490
$792$	6.94793e16	−	6.94793e16i	0.281517	−	0.281517i
$793$	−1.48688e15	−	1.48688e15i	−0.00597911	−	0.00597911i
$794$			9.29442e16i			0.370936i
$795$	2.75026e17	−	1.56986e17i	1.08936	−	0.621810i
$796$	2.02715e17			0.796908
$797$	−1.78172e17	+	1.78172e17i	−0.695167	+	0.695167i	−0.963364	−	0.268197i	$-0.913572\pi$
$797$	−1.78172e17	+	1.78172e17i	−0.695167	+	0.695167i	0.268197	+	0.963364i	$0.413572\pi$
$798$	−7.34838e16	−	7.34838e16i	−0.284560	−	0.284560i
$799$		−	1.10821e17i		−	0.425933i
$800$	−1.15525e16	−	4.48779e16i	−0.0440693	−	0.171195i
$801$	1.85795e17			0.703458
$802$	1.97344e17	−	1.97344e17i	0.741614	−	0.741614i
$803$	−1.33315e17	−	1.33315e17i	−0.497263	−	0.497263i
$804$			1.62771e17i			0.602615i
$805$	3.45237e17	+	6.04826e17i	1.26865	+	2.22257i
$806$	−5.36392e15			−0.0195646
$807$	2.78706e17	−	2.78706e17i	1.00903	−	1.00903i
$808$	5.37743e16	+	5.37743e16i	0.193244	+	0.193244i
$809$			3.95929e17i			1.41230i	0.708064	+	0.706148i	$0.249569\pi$
$809$			3.95929e17i			1.41230i	−0.708064	+	0.706148i	$0.750431\pi$
$810$	2.22466e17	+	6.07851e16i	0.787685	+	0.215222i
$811$	−2.48304e17			−0.872686			−0.436343	−	0.899780i	$-0.643727\pi$
$811$	−2.48304e17			−0.872686			−0.436343	+	0.899780i	$0.643727\pi$
$812$	4.59696e16	−	4.59696e16i	0.160374	−	0.160374i
$813$	1.72898e17	+	1.72898e17i	0.598753	+	0.598753i
$814$		−	2.40076e16i		−	0.0825284i
$815$	3.30661e16	−	1.21017e17i	0.112833	−	0.412955i
$816$	−1.25628e17			−0.425546
$817$	8.59289e16	−	8.59289e16i	0.288940	−	0.288940i
$818$	1.96866e17	+	1.96866e17i	0.657129	+	0.657129i
$819$		−	7.30663e16i		−	0.242111i
$820$	2.19965e17	−	1.25557e17i	0.723554	−	0.413007i
$821$	3.62261e17			1.18294			0.591469	−	0.806328i	$-0.298548\pi$
$821$	3.62261e17			1.18294			0.591469	+	0.806328i	$0.298548\pi$
$822$	−1.56294e16	+	1.56294e16i	−0.0506655	+	0.0506655i
$823$	−1.35304e17	−	1.35304e17i	−0.435424	−	0.435424i	0.455045	−	0.890469i	$-0.349623\pi$
$823$	−1.35304e17	−	1.35304e17i	−0.435424	−	0.435424i	−0.890469	+	0.455045i	$0.849623\pi$
$824$		−	3.69127e16i		−	0.117927i
$825$	−5.71884e17	+	1.47215e17i	−1.81378	+	0.466905i
$826$	−3.78881e17			−1.19295
$827$	−1.82059e17	+	1.82059e17i	−0.569086	+	0.569086i	−0.931872	−	0.362786i	$-0.881826\pi$
$827$	−1.82059e17	+	1.82059e17i	−0.569086	+	0.569086i	0.362786	+	0.931872i	$0.381826\pi$
$828$	−1.80619e17	−	1.80619e17i	−0.560509	−	0.560509i
$829$		−	1.22570e17i		−	0.377622i	−0.982013	−	0.188811i	$-0.939537\pi$
$829$		−	1.22570e17i		−	0.377622i	0.982013	−	0.188811i	$-0.0604633\pi$
$830$	1.86489e17	+	3.26713e17i	0.570407	+	0.999305i
$831$	2.62617e17			0.797475
$832$	−6.72591e15	+	6.72591e15i	−0.0202774	+	0.0202774i
$833$	−2.10387e17	−	2.10387e17i	−0.629723	−	0.629723i
$834$		−	2.02958e17i		−	0.603127i
$835$	−3.65979e17	−	9.99977e16i	−1.07978	−	0.295034i
$836$	7.70747e16			0.225774
$837$	−7.54920e15	+	7.54920e15i	−0.0219557	+	0.0219557i
$838$	−1.48282e17	−	1.48282e17i	−0.428178	−	0.428178i
$839$			3.14378e17i			0.901322i	0.892695	+	0.450661i	$0.148812\pi$
$839$			3.14378e17i			0.901322i	−0.892695	+	0.450661i	$0.851188\pi$
$840$	−5.74620e16	+	2.10303e17i	−0.163571	+	0.598647i
$841$	3.11081e17			0.879221
$842$	2.24841e17	−	2.24841e17i	0.630960	−	0.630960i
$843$	−1.94724e17	−	1.94724e17i	−0.542567	−	0.542567i
$844$			1.30623e17i			0.361380i
$845$	2.99515e17	−	1.70964e17i	0.822769	−	0.469639i
$846$	7.05380e16			0.192398
$847$	−3.20175e17	+	3.20175e17i	−0.867136	+	0.867136i
$848$	6.13121e16	+	6.13121e16i	0.164881	+	0.164881i
$849$			4.19752e16i			0.112085i
$850$	2.90651e17	+	1.71646e17i	0.770651	+	0.455113i
$851$	−6.24107e16			−0.164317
$852$	1.50865e17	−	1.50865e17i	0.394414	−	0.394414i
$853$	4.12395e17	+	4.12395e17i	1.07058	+	1.07058i	0.997312	+	0.0732669i	$0.0233425\pi$
$853$	4.12395e17	+	4.12395e17i	1.07058	+	1.07058i	0.0732669	+	0.997312i	$0.476658\pi$
$854$		−	1.31963e16i		−	0.0340176i
$855$	−5.07703e16	−	8.89453e16i	−0.129961	−	0.227681i
$856$	2.41325e17			0.613424
$857$	2.54388e16	−	2.54388e16i	0.0642114	−	0.0642114i	−0.674272	−	0.738483i	$-0.735542\pi$
$857$	2.54388e16	−	2.54388e16i	0.0642114	−	0.0642114i	0.738483	+	0.674272i	$0.235542\pi$
$858$	8.57091e16	+	8.57091e16i	0.214834	+	0.214834i
$859$		−	1.46468e17i		−	0.364572i	−0.983246	−	0.182286i	$-0.941650\pi$
$859$		−	1.46468e17i		−	0.364572i	0.983246	−	0.182286i	$-0.0583496\pi$
$860$	−2.45920e17	−	6.71937e16i	−0.607859	−	0.166088i
$861$	−1.19155e18			−2.92478
$862$	−2.87734e17	+	2.87734e17i	−0.701371	+	0.701371i
$863$	−3.16043e17	−	3.16043e17i	−0.765034	−	0.765034i	0.212193	−	0.977228i	$-0.431939\pi$
$863$	−3.16043e17	−	3.16043e17i	−0.765034	−	0.765034i	−0.977228	+	0.212193i	$0.931939\pi$
$864$			1.89322e16i			0.0455111i
$865$	2.07100e17	−	7.57959e17i	0.494406	−	1.80946i
$866$	−2.46323e17			−0.583979
$867$	2.43169e17	−	2.43169e17i	0.572524	−	0.572524i
$868$	−2.38028e16	−	2.38028e16i	−0.0556556	−	0.0556556i
$869$		−	1.81605e17i		−	0.421706i
$870$	1.24458e17	−	7.10409e16i	0.287016	−	0.163830i
$871$	−8.97694e16			−0.205598
$872$	3.56905e16	−	3.56905e16i	0.0811809	−	0.0811809i
$873$	3.90571e17	+	3.90571e17i	0.882295	+	0.882295i
$874$		−	2.00365e17i		−	0.449524i
$875$	4.20280e17	−	4.08043e17i	0.936462	−	0.909195i
$876$	−1.53431e17			−0.339538
$877$	−5.01411e17	+	5.01411e17i	−1.10204	+	1.10204i	−0.107872	+	0.994165i	$0.534404\pi$
$877$	−5.01411e17	+	5.01411e17i	−1.10204	+	1.10204i	−0.994165	+	0.107872i	$0.965596\pi$
$878$	1.23579e17	+	1.23579e17i	0.269759	+	0.269759i
$879$			4.69129e17i			1.01709i
$880$	−8.01551e16	−	1.40425e17i	−0.172598	−	0.302377i
$881$	−2.77516e17			−0.593516			−0.296758	−	0.954953i	$-0.595905\pi$
$881$	−2.77516e17			−0.593516			−0.296758	+	0.954953i	$0.595905\pi$
$882$	1.33912e17	−	1.33912e17i	0.284452	−	0.284452i
$883$	8.64642e16	+	8.64642e16i	0.182420	+	0.182420i	0.792409	−	0.609990i	$-0.208826\pi$
$883$	8.64642e16	+	8.64642e16i	0.182420	+	0.182420i	−0.609990	+	0.792409i	$0.708826\pi$
$884$		−	6.92851e16i		−	0.145186i
$885$	−8.05648e17	−	2.20130e17i	−1.67682	−	0.458164i
$886$	1.18752e17			0.245493
$887$	6.13536e16	−	6.13536e16i	0.125979	−	0.125979i	−0.641306	−	0.767285i	$-0.721607\pi$
$887$	6.13536e16	−	6.13536e16i	0.125979	−	0.125979i	0.767285	+	0.641306i	$0.221607\pi$
$888$	−1.38151e16	−	1.38151e16i	−0.0281757	−	0.0281757i
$889$		−	3.68567e17i		−	0.746631i
$890$	8.05841e16	−	2.94927e17i	0.162147	−	0.593437i
$891$	8.04672e17			1.60825
$892$	−1.31522e17	+	1.31522e17i	−0.261102	+	0.261102i
$893$	3.91246e16	+	3.91246e16i	0.0771509	+	0.0771509i
$894$			2.81569e17i			0.551517i
$895$	−1.63614e17	+	9.33913e16i	−0.318333	+	0.181706i
$896$	−5.96934e16			−0.115366
$897$	2.22811e17	−	2.22811e17i	0.427742	−	0.427742i
$898$	−2.61875e17	−	2.61875e17i	−0.499385	−	0.499385i
$899$			2.21271e16i			0.0419147i
$900$	−1.09253e17	+	1.85000e17i	−0.205579	+	0.348110i
$901$	−6.31589e17			−1.18055
$902$	6.24888e17	−	6.24888e17i	1.16028	−	1.16028i
$903$	8.48066e17	+	8.48066e17i	1.56424	+	1.56424i
$904$			9.89752e16i			0.181349i
$905$	9.07121e16	+	1.58920e17i	0.165110	+	0.289259i
$906$	−2.61144e17			−0.472183
$907$	−4.20909e17	+	4.20909e17i	−0.756039	+	0.756039i	−0.975599	−	0.219560i	$-0.929538\pi$
$907$	−4.20909e17	+	4.20909e17i	−0.756039	+	0.756039i	0.219560	+	0.975599i	$0.429538\pi$
$908$	2.08676e17	+	2.08676e17i	0.372355	+	0.372355i
$909$		−	3.52585e17i		−	0.625001i
$910$	−1.15984e17	−	3.16908e16i	−0.204244	−	0.0558065i
$911$	4.45220e17			0.778868			0.389434	−	0.921054i	$-0.372671\pi$
$911$	4.45220e17			0.778868			0.389434	+	0.921054i	$0.372671\pi$
$912$	4.43522e16	−	4.43522e16i	0.0770808	−	0.0770808i
$913$	9.28142e17	+	9.28142e17i	1.60247	+	1.60247i
$914$			7.07459e17i			1.21346i
$915$	7.66706e15	−	2.80604e16i	0.0130648	−	0.0478154i
$916$	−3.23270e17			−0.547258
$917$	5.48103e17	−	5.48103e17i	0.921820	−	0.921820i
$918$	−9.75121e16	−	9.75121e16i	−0.162930	−	0.162930i
$919$			5.54181e17i			0.919939i	0.887935	+	0.459969i	$0.152140\pi$
$919$			5.54181e17i			0.919939i	−0.887935	+	0.459969i	$0.847860\pi$
$920$	−3.65051e17	+	2.08372e17i	−0.602042	+	0.343648i
$921$	2.86784e17			0.469891
$922$	−3.44058e16	+	3.44058e16i	−0.0560076	+	0.0560076i
$923$	8.32035e16	+	8.32035e16i	0.134565	+	0.134565i
$924$			7.60681e17i			1.22228i
$925$	1.30867e16	+	5.08377e16i	0.0208920	+	0.0811587i
$926$	5.68186e16			0.0901207
$927$	−1.21014e17	+	1.21014e17i	−0.190703	+	0.190703i
$928$	2.77456e16	+	2.77456e16i	0.0434416	+	0.0434416i
$929$		−	1.13112e18i		−	1.75960i	−0.475340	−	0.879802i	$-0.657675\pi$
$929$		−	1.13112e18i		−	1.75960i	0.475340	−	0.879802i	$-0.342325\pi$
$930$	−3.67845e16	−	6.44434e16i	−0.0568548	−	0.0996049i
$931$	1.48551e17			0.228128
$932$	1.46124e17	−	1.46124e17i	0.222959	−	0.222959i
$933$	1.37902e17	+	1.37902e17i	0.209065	+	0.209065i
$934$		−	3.47819e17i		−	0.523928i
$935$	1.13612e18	+	3.10427e17i	1.70042	+	0.464611i
$936$	4.41002e16			0.0655821
$937$	6.80911e17	−	6.80911e17i	1.00613	−	1.00613i	0.00614516	−	0.999981i	$-0.498044\pi$
$937$	6.80911e17	−	6.80911e17i	1.00613	−	1.00613i	0.999981	−	0.00614516i	$-0.00195608\pi$
$938$	−3.98358e17	−	3.98358e17i	−0.584866	−	0.584866i
$939$			7.81572e17i			1.14019i
$940$	3.05942e16	−	1.11971e17i	0.0443478	−	0.162307i
$941$	−2.37165e17			−0.341596			−0.170798	−	0.985306i	$-0.554635\pi$
$941$	−2.37165e17			−0.341596			−0.170798	+	0.985306i	$0.554635\pi$
$942$	−6.91853e17	+	6.91853e17i	−0.990167	+	0.990167i
$943$	−1.62447e18	−	1.62447e18i	−2.31016	−	2.31016i
$944$		−	2.28679e17i		−	0.323142i
$945$	−2.07838e17	+	1.18635e17i	−0.291833	+	0.166579i
$946$	−8.89508e17			−1.24109
$947$	−1.89456e17	+	1.89456e17i	−0.262669	+	0.262669i	−0.826138	−	0.563468i	$-0.809467\pi$
$947$	−1.89456e17	+	1.89456e17i	−0.262669	+	0.262669i	0.563468	+	0.826138i	$0.309467\pi$
$948$	−1.04504e17	−	1.04504e17i	−0.143973	−	0.143973i
$949$		−	8.46184e16i		−	0.115842i
$950$	−1.63210e17	+	4.20138e16i	−0.222027	+	0.0571545i
$951$	−1.51548e18			−2.04864
$952$	3.07457e17	−	3.07457e17i	0.413013	−	0.413013i
$953$	−3.45687e17	−	3.45687e17i	−0.461451	−	0.461451i	0.437680	−	0.899131i	$-0.355800\pi$
$953$	−3.45687e17	−	3.45687e17i	−0.461451	−	0.461451i	−0.899131	+	0.437680i	$0.855800\pi$
$954$		−	4.02008e17i		−	0.533267i
$955$	2.49358e17	+	4.36855e17i	0.328703	+	0.575860i
$956$	7.19229e16			0.0942149
$957$	3.53565e17	−	3.53565e17i	0.460255	−	0.460255i
$958$	7.05477e17	+	7.05477e17i	0.912619	+	0.912619i
$959$		−	7.65017e16i		−	0.0983466i
$960$	−1.26931e17	−	3.46820e16i	−0.162159	−	0.0443074i
$961$	−7.76206e17			−0.985454
$962$	7.61912e15	−	7.61912e15i	0.00961290	−	0.00961290i
$963$	−7.91156e17	−	7.91156e17i	−0.991984	−	0.991984i
$964$			1.35913e17i			0.169356i
$965$	5.02577e16	−	1.83937e17i	0.0622356	−	0.227774i
$966$	1.97748e18			2.43360
$967$	−5.52499e17	+	5.52499e17i	−0.675730	+	0.675730i	−0.959031	−	0.283301i	$-0.908570\pi$
$967$	−5.52499e17	+	5.52499e17i	−0.675730	+	0.675730i	0.283301	+	0.959031i	$0.408570\pi$
$968$	−1.93246e17	−	1.93246e17i	−0.234887	−	0.234887i
$969$			4.56881e17i			0.551900i
$970$	7.89385e17	−	4.50584e17i	0.947673	−	0.540935i
$971$	1.42768e18			1.70340			0.851700	−	0.524030i	$-0.175572\pi$
$971$	1.42768e18			1.70340			0.851700	+	0.524030i	$0.175572\pi$
$972$	3.86282e17	−	3.86282e17i	0.458044	−	0.458044i
$973$	4.96710e17	+	4.96710e17i	0.585363	+	0.585363i
$974$		−	6.99228e17i		−	0.818964i
$975$	−2.28215e17	−	1.34774e17i	−0.265654	−	0.156884i
$976$	7.96479e15			0.00921458
$977$	−2.95012e17	+	2.95012e17i	−0.339213	+	0.339213i	−0.856071	−	0.516858i	$-0.827102\pi$
$977$	−2.95012e17	+	2.95012e17i	−0.339213	+	0.339213i	0.516858	+	0.856071i	$0.327102\pi$
$978$	−2.51888e17	−	2.51888e17i	−0.287855	−	0.287855i
$979$		−	1.06677e18i		−	1.21164i
$980$	−1.54488e17	−	2.70651e17i	−0.174397	−	0.305529i
$981$	−2.34014e17			−0.262560
$982$	−6.29663e17	+	6.29663e17i	−0.702165	+	0.702165i
$983$	−3.52579e17	−	3.52579e17i	−0.390782	−	0.390782i	0.484184	−	0.874966i	$-0.339117\pi$
$983$	−3.52579e17	−	3.52579e17i	−0.390782	−	0.390782i	−0.874966	+	0.484184i	$0.839117\pi$
$984$		−	7.19176e17i		−	0.792254i
$985$	8.97863e17	+	2.45327e17i	0.983089	+	0.268613i
$986$	−2.85813e17			−0.311043
$987$	−3.86136e17	+	3.86136e17i	−0.417674	+	0.417674i
$988$	2.44606e16	+	2.44606e16i	0.0262982	+	0.0262982i
$989$			2.31238e18i			2.47105i
$990$	−1.97588e17	+	7.23145e17i	−0.209869	+	0.768094i
$991$	1.74922e17			0.184673			0.0923365	−	0.995728i	$-0.470566\pi$
$991$	1.74922e17			0.184673			0.0923365	+	0.995728i	$0.470566\pi$
$992$	1.43665e16	−	1.43665e16i	0.0150758	−	0.0150758i
$993$	−5.94301e17	−	5.94301e17i	−0.619884	−	0.619884i
$994$			7.38443e17i			0.765594i
$995$	−1.34318e18	+	7.66693e17i	−1.38419	+	0.790101i
$996$	1.06819e18			1.09419
$997$	2.27212e17	−	2.27212e17i	0.231345	−	0.231345i	−0.581909	−	0.813254i	$-0.697694\pi$
$997$	2.27212e17	−	2.27212e17i	0.231345	−	0.231345i	0.813254	+	0.581909i	$0.197694\pi$
$998$	4.86627e17	+	4.86627e17i	0.492508	+	0.492508i
$999$		−	2.14464e16i		−	0.0215755i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	10.13.c.b.3.3	✓	6
3.2	odd	2		90.13.g.a.73.2		6
4.3	odd	2		80.13.p.a.33.1		6
5.2	odd	4	inner	10.13.c.b.7.3	yes	6
5.3	odd	4		50.13.c.c.7.1		6
5.4	even	2		50.13.c.c.43.1		6
15.2	even	4		90.13.g.a.37.2		6
20.7	even	4		80.13.p.a.17.1		6

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
10.13.c.b.3.3	✓	6	1.1	even	1	trivial
10.13.c.b.7.3	yes	6	5.2	odd	4	inner
50.13.c.c.7.1		6	5.3	odd	4
50.13.c.c.43.1		6	5.4	even	2
80.13.p.a.17.1		6	20.7	even	4
80.13.p.a.33.1		6	4.3	odd	2
90.13.g.a.37.2		6	15.2	even	4
90.13.g.a.73.2		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)

\(f(q)\)	\(=\)	\(q+(32.0000 - 32.0000i) q^{2} +(693.233 + 693.233i) q^{3} -2048.00i q^{4} +(7745.77 + 13570.0i) q^{5} +44366.9 q^{6} +(-108582. + 108582. i) q^{7} +(-65536.0 - 65536.0i) q^{8} +429704. i q^{9} +O(q^{10})\)	\(q+(32.0000 - 32.0000i) q^{2} +(693.233 + 693.233i) q^{3} -2048.00i q^{4} +(7745.77 + 13570.0i) q^{5} +44366.9 q^{6} +(-108582. + 108582. i) q^{7} +(-65536.0 - 65536.0i) q^{8} +429704. i q^{9} +(682103. + 186374. i) q^{10} +2.46721e6 q^{11} +(1.41974e6 - 1.41974e6i) q^{12} +(782999. + 782999. i) q^{13} +6.94923e6i q^{14} +(-4.03751e6 + 1.47768e7i) q^{15} -4.19430e6 q^{16} +(2.16032e7 - 2.16032e7i) q^{17} +(1.37505e7 + 1.37505e7i) q^{18} +1.52537e7i q^{19} +(2.77913e7 - 1.58633e7i) q^{20} -1.50545e8 q^{21} +(7.89508e7 - 7.89508e7i) q^{22} +(-2.05242e8 - 2.05242e8i) q^{23} -9.08635e7i q^{24} +(-1.24147e8 + 2.10220e8i) q^{25} +5.01120e7 q^{26} +(7.05278e7 - 7.05278e7i) q^{27} +(2.22375e8 + 2.22375e8i) q^{28} -2.06721e8i q^{29} +(3.43656e8 + 6.02057e8i) q^{30} -1.07039e8 q^{31} +(-1.34218e8 + 1.34218e8i) q^{32} +(1.71035e9 + 1.71035e9i) q^{33} -1.38261e9i q^{34} +(-2.31450e9 - 6.32400e8i) q^{35} +8.80033e8 q^{36} +(1.52042e8 - 1.52042e8i) q^{37} +(4.88119e8 + 4.88119e8i) q^{38} +1.08560e9i q^{39} +(3.81693e8 - 1.39695e9i) q^{40} +7.91491e9 q^{41} +(-4.81744e9 + 4.81744e9i) q^{42} +(-5.63331e9 - 5.63331e9i) q^{43} -5.05285e9i q^{44} +(-5.83106e9 + 3.32839e9i) q^{45} -1.31355e10 q^{46} +(2.56492e9 - 2.56492e9i) q^{47} +(-2.90763e9 - 2.90763e9i) q^{48} -9.73870e9i q^{49} +(2.75433e9 + 1.06997e10i) q^{50} +2.99521e10 q^{51} +(1.60358e9 - 1.60358e9i) q^{52} +(-1.46179e10 - 1.46179e10i) q^{53} -4.51378e9i q^{54} +(1.91105e10 + 3.34799e10i) q^{55} +1.42320e10 q^{56} +(-1.05744e10 + 1.05744e10i) q^{57} +(-6.61506e9 - 6.61506e9i) q^{58} +5.45213e10i q^{59} +(3.02628e10 + 8.26883e9i) q^{60} -1.89895e9 q^{61} +(-3.42524e9 + 3.42524e9i) q^{62} +(-4.66580e10 - 4.66580e10i) q^{63} +8.58993e9i q^{64} +(-4.56033e9 + 1.66902e10i) q^{65} +1.09463e11 q^{66} +(-5.73241e10 + 5.73241e10i) q^{67} +(-4.42434e10 - 4.42434e10i) q^{68} -2.84561e11i q^{69} +(-9.43007e10 + 5.38272e10i) q^{70} +1.06263e11 q^{71} +(2.81611e10 - 2.81611e10i) q^{72} +(-5.40348e10 - 5.40348e10i) q^{73} -9.73068e9i q^{74} +(-2.31794e11 + 5.96686e10i) q^{75} +3.12396e10 q^{76} +(-2.67894e11 + 2.67894e11i) q^{77} +(3.47393e10 + 3.47393e10i) q^{78} -7.36076e10i q^{79} +(-3.24881e10 - 5.69165e10i) q^{80} +3.26146e11 q^{81} +(2.53277e11 - 2.53277e11i) q^{82} +(3.76191e11 + 3.76191e11i) q^{83} +3.08316e11i q^{84} +(4.60488e11 + 1.25821e11i) q^{85} -3.60532e11 q^{86} +(1.43306e11 - 1.43306e11i) q^{87} +(-1.61691e11 - 1.61691e11i) q^{88} -4.32379e11i q^{89} +(-8.00855e10 + 2.93102e11i) q^{90} -1.70039e11 q^{91} +(-4.20335e11 + 4.20335e11i) q^{92} +(-7.42028e10 - 7.42028e10i) q^{93} -1.64155e11i q^{94} +(-2.06992e11 + 1.18152e11i) q^{95} -1.86088e11 q^{96} +(9.08930e11 - 9.08930e11i) q^{97} +(-3.11638e11 - 3.11638e11i) q^{98} +1.06017e12i 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

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