LMFDB - Embedded newform 25.9.f.a.2.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [25,9,Mod(2,25)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(25, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([1]))

N = Newforms(chi, 9, names="a")

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

chi := DirichletCharacter("25.2");

S:= CuspForms(chi, 9);

N := Newforms(S);

Level:	$ N $	$=$	$ 25 = 5^{2} $
Weight:	$ k $	$=$	$ 9 $
Character orbit:	$[\chi]$	$=$	25.f (of order $20$, degree $8$, 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:	$10.1844652515$
Analytic rank:	$0$
Dimension:	$152$
Relative dimension:	$19$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			2.4
Character	$\chi$	$=$	25.2
Dual form			25.9.f.a.13.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-22.6508 - 3.58754i) q^{2} +(-57.6629 - 113.170i) q^{3} +(256.720 + 83.4132i) q^{4} +(188.239 + 595.979i) q^{5} +(900.112 + 2770.26i) q^{6} +(118.643 + 118.643i) q^{7} +(-284.659 - 145.041i) q^{8} +(-5625.95 + 7743.46i) q^{9} +O(q^{10})$	\(q+(-22.6508 - 3.58754i) q^{2} +(-57.6629 - 113.170i) q^{3} +(256.720 + 83.4132i) q^{4} +(188.239 + 595.979i) q^{5} +(900.112 + 2770.26i) q^{6} +(118.643 + 118.643i) q^{7} +(-284.659 - 145.041i) q^{8} +(-5625.95 + 7743.46i) q^{9} +(-2125.68 - 14174.7i) q^{10} +(-6966.76 + 5061.65i) q^{11} +(-5363.34 - 33862.8i) q^{12} +(46556.7 - 7373.85i) q^{13} +(-2261.73 - 3113.01i) q^{14} +(56592.4 - 55668.9i) q^{15} +(-49977.5 - 36310.8i) q^{16} +(-3793.48 + 7445.12i) q^{17} +(155212. - 155212. i) q^{18} +(-66191.4 + 21506.9i) q^{19} +(-1387.80 + 168701. i) q^{20} +(6585.52 - 20268.2i) q^{21} +(175962. - 89657.0i) q^{22} +(43681.7 - 275795. i) q^{23} +40578.4i q^{24} +(-319757. + 224373. i) q^{25} -1.08100e6 q^{26} +(377659. + 59815.3i) q^{27} +(20561.6 + 40354.5i) q^{28} +(1.03446e6 + 336116. i) q^{29} +(-1.48158e6 + 1.05792e6i) q^{30} +(82011.7 + 252406. i) q^{31} +(1.05960e6 + 1.05960e6i) q^{32} +(974550. + 496558. i) q^{33} +(112635. - 155029. i) q^{34} +(-48375.5 + 93042.2i) q^{35} +(-2.09020e6 + 1.51862e6i) q^{36} +(-469299. - 2.96304e6i) q^{37} +(1.57645e6 - 249685. i) q^{38} +(-3.51909e6 - 4.84361e6i) q^{39} +(32857.4 - 196953. i) q^{40} +(4.07195e6 + 2.95844e6i) q^{41} +(-221880. + 435465. i) q^{42} +(4.23448e6 - 4.23448e6i) q^{43} +(-2.21071e6 + 718304. i) q^{44} +(-5.67396e6 - 1.89532e6i) q^{45} +(-1.97885e6 + 6.09029e6i) q^{46} +(-1.61649e6 + 823644. i) q^{47} +(-1.22744e6 + 7.74974e6i) q^{48} -5.73665e6i q^{49} +(8.04771e6 - 3.93511e6i) q^{50} +1.06131e6 q^{51} +(1.25671e7 + 1.99043e6i) q^{52} +(3.94375e6 + 7.74005e6i) q^{53} +(-8.33970e6 - 2.70973e6i) q^{54} +(-4.32805e6 - 3.19924e6i) q^{55} +(-16564.8 - 50981.1i) q^{56} +(6.25072e6 + 6.25072e6i) q^{57} +(-2.22255e7 - 1.13245e7i) q^{58} +(1.28469e7 - 1.76822e7i) q^{59} +(1.91719e7 - 9.57075e6i) q^{60} +(-2.40157e6 + 1.74484e6i) q^{61} +(-952116. - 6.01143e6i) q^{62} +(-1.58619e6 + 251228. i) q^{63} +(-1.09039e7 - 1.50079e7i) q^{64} +(1.31585e7 + 2.63587e7i) q^{65} +(-2.02930e7 - 1.47437e7i) q^{66} +(672566. - 1.31999e6i) q^{67} +(-1.59488e6 + 1.59488e6i) q^{68} +(-3.37305e7 + 1.09597e7i) q^{69} +(1.42954e6 - 1.93393e6i) q^{70} +(2.01027e6 - 6.18698e6i) q^{71} +(2.72460e6 - 1.38825e6i) q^{72} +(-2.16176e6 + 1.36488e7i) q^{73} +6.87989e7i q^{74} +(4.38304e7 + 2.32488e7i) q^{75} -1.87866e7 q^{76} +(-1.42709e6 - 226029. i) q^{77} +(6.23337e7 + 1.22337e8i) q^{78} +(6.29503e6 + 2.04538e6i) q^{79} +(1.22327e7 - 3.66207e7i) q^{80} +(4.39809e6 + 1.35359e7i) q^{81} +(-8.16195e7 - 8.16195e7i) q^{82} +(-3.93429e7 - 2.00462e7i) q^{83} +(3.38127e6 - 4.65391e6i) q^{84} +(-5.15122e6 - 859368. i) q^{85} +(-1.11106e8 + 8.07232e7i) q^{86} +(-2.16117e7 - 1.36451e8i) q^{87} +(2.71730e6 - 430378. i) q^{88} +(5.61051e6 + 7.72221e6i) q^{89} +(1.21720e8 + 6.32863e7i) q^{90} +(6.39849e6 + 4.64877e6i) q^{91} +(3.42189e7 - 6.71584e7i) q^{92} +(2.38357e7 - 2.38357e7i) q^{93} +(3.95697e7 - 1.28570e7i) q^{94} +(-2.52775e7 - 3.54002e7i) q^{95} +(5.88151e7 - 1.81014e8i) q^{96} +(7.82324e7 - 3.98614e7i) q^{97} +(-2.05805e7 + 1.29940e8i) q^{98} -8.24234e7i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 152 q - 8 q^{2} + 62 q^{3} - 10 q^{4} - 230 q^{5} - 6 q^{6} + 2342 q^{7} + 8210 q^{8} - 10 q^{9}+O(q^{10}) $ 152 * q - 8 * q^2 + 62 * q^3 - 10 * q^4 - 230 * q^5 - 6 * q^6 + 2342 * q^7 + 8210 * q^8 - 10 * q^9	\( 152 q - 8 q^{2} + 62 q^{3} - 10 q^{4} - 230 q^{5} - 6 q^{6} + 2342 q^{7} + 8210 q^{8} - 10 q^{9} - 30880 q^{10} - 6 q^{11} + 45902 q^{12} + 119132 q^{13} - 10 q^{14} - 241450 q^{15} + 524282 q^{16} - 105158 q^{17} + 454052 q^{18} + 718890 q^{19} + 340370 q^{20} - 6 q^{21} - 1986746 q^{22} - 899198 q^{23} + 2032310 q^{25} - 913936 q^{26} + 1904300 q^{27} - 998002 q^{28} - 1956910 q^{29} - 4500490 q^{30} - 6 q^{31} - 3033938 q^{32} + 1003994 q^{33} + 10303990 q^{34} + 4124560 q^{35} - 8100358 q^{36} + 9534392 q^{37} - 14259280 q^{38} - 22510410 q^{39} - 4123060 q^{40} - 4374726 q^{41} + 52199634 q^{42} + 13583342 q^{43} - 2138860 q^{44} - 33978380 q^{45} - 6 q^{46} - 11197058 q^{47} - 32869688 q^{48} + 13239250 q^{50} - 16 q^{51} + 93509212 q^{52} + 53717512 q^{53} + 57025140 q^{54} - 14642290 q^{55} - 262150 q^{56} - 93310490 q^{57} - 97437640 q^{58} + 24222740 q^{59} - 66375070 q^{60} - 18369126 q^{61} + 6782124 q^{62} + 96012652 q^{63} + 112817140 q^{64} + 89469970 q^{65} + 6718458 q^{66} + 74549142 q^{67} - 62262702 q^{68} - 128418860 q^{69} - 177099410 q^{70} + 60703854 q^{71} - 444425220 q^{72} - 171988248 q^{73} + 257329110 q^{75} - 262160 q^{76} + 292751454 q^{77} + 385000804 q^{78} + 138506190 q^{79} + 245270230 q^{80} + 110809772 q^{81} - 73650066 q^{82} - 663197528 q^{83} - 1517250010 q^{84} - 616093620 q^{85} - 6 q^{86} + 494144820 q^{87} + 1287340030 q^{88} + 1051406240 q^{89} + 1480613390 q^{90} - 6 q^{91} - 461835158 q^{92} - 908140736 q^{93} - 1160168810 q^{94} - 920404690 q^{95} + 172437534 q^{96} - 732746208 q^{97} - 167741852 q^{98}+O(q^{100}) \) 152 * q - 8 * q^2 + 62 * q^3 - 10 * q^4 - 230 * q^5 - 6 * q^6 + 2342 * q^7 + 8210 * q^8 - 10 * q^9 - 30880 * q^10 - 6 * q^11 + 45902 * q^12 + 119132 * q^13 - 10 * q^14 - 241450 * q^15 + 524282 * q^16 - 105158 * q^17 + 454052 * q^18 + 718890 * q^19 + 340370 * q^20 - 6 * q^21 - 1986746 * q^22 - 899198 * q^23 + 2032310 * q^25 - 913936 * q^26 + 1904300 * q^27 - 998002 * q^28 - 1956910 * q^29 - 4500490 * q^30 - 6 * q^31 - 3033938 * q^32 + 1003994 * q^33 + 10303990 * q^34 + 4124560 * q^35 - 8100358 * q^36 + 9534392 * q^37 - 14259280 * q^38 - 22510410 * q^39 - 4123060 * q^40 - 4374726 * q^41 + 52199634 * q^42 + 13583342 * q^43 - 2138860 * q^44 - 33978380 * q^45 - 6 * q^46 - 11197058 * q^47 - 32869688 * q^48 + 13239250 * q^50 - 16 * q^51 + 93509212 * q^52 + 53717512 * q^53 + 57025140 * q^54 - 14642290 * q^55 - 262150 * q^56 - 93310490 * q^57 - 97437640 * q^58 + 24222740 * q^59 - 66375070 * q^60 - 18369126 * q^61 + 6782124 * q^62 + 96012652 * q^63 + 112817140 * q^64 + 89469970 * q^65 + 6718458 * q^66 + 74549142 * q^67 - 62262702 * q^68 - 128418860 * q^69 - 177099410 * q^70 + 60703854 * q^71 - 444425220 * q^72 - 171988248 * q^73 + 257329110 * q^75 - 262160 * q^76 + 292751454 * q^77 + 385000804 * q^78 + 138506190 * q^79 + 245270230 * q^80 + 110809772 * q^81 - 73650066 * q^82 - 663197528 * q^83 - 1517250010 * q^84 - 616093620 * q^85 - 6 * q^86 + 494144820 * q^87 + 1287340030 * q^88 + 1051406240 * q^89 + 1480613390 * q^90 - 6 * q^91 - 461835158 * q^92 - 908140736 * q^93 - 1160168810 * q^94 - 920404690 * q^95 + 172437534 * q^96 - 732746208 * q^97 - 167741852 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/25\mathbb{Z}\right)^\times$.

$n$	$2$
$\chi(n)$	$e\left(\frac{1}{20}\right)$

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 $

$2$	−22.6508	−	3.58754i	−1.41568	−	0.224221i	−0.598738	−	0.800945i	$-0.704331\pi$
$2$	−22.6508	−	3.58754i	−1.41568	−	0.224221i	−0.816939	+	0.576724i	$0.804331\pi$
$3$	−57.6629	−	113.170i	−0.711888	−	1.39716i	−0.909008	−	0.416780i	$-0.863159\pi$
$3$	−57.6629	−	113.170i	−0.711888	−	1.39716i	0.197119	−	0.980379i	$-0.436841\pi$
$4$	256.720	+	83.4132i	1.00281	+	0.325833i
$5$	188.239	+	595.979i	0.301183	+	0.953566i
$5$	188.239	+	595.979i	0.301183	+	0.953566i
$6$	900.112	+	2770.26i	0.694531	+	2.13755i
$7$	118.643	+	118.643i	0.0494141	+	0.0494141i	0.731382	−	0.681968i	$-0.238876\pi$
$7$	118.643	+	118.643i	0.0494141	+	0.0494141i	−0.681968	+	0.731382i	$0.738876\pi$
$8$	−284.659	−	145.041i	−0.0694969	−	0.0354104i
$9$	−5625.95	+	7743.46i	−0.857484	+	1.18022i
$10$	−2125.68	−	14174.7i	−0.212568	−	1.41747i
$11$	−6966.76	+	5061.65i	−0.475839	+	0.345717i	−0.799713	−	0.600383i	$-0.795015\pi$
$11$	−6966.76	+	5061.65i	−0.475839	+	0.345717i	0.323873	+	0.946100i	$0.395015\pi$
$12$	−5363.34	−	33862.8i	−0.258649	−	1.63304i
$13$	46556.7	−	7373.85i	1.63008	−	0.258179i	0.726678	−	0.686978i	$-0.241063\pi$
$13$	46556.7	−	7373.85i	1.63008	−	0.258179i	0.903400	+	0.428799i	$0.141063\pi$
$14$	−2261.73	−	3113.01i	−0.0588747	−	0.0810341i
$15$	56592.4	−	55668.9i	1.11788	−	1.09963i
$16$	−49977.5	−	36310.8i	−0.762596	−	0.554059i
$17$	−3793.48	+	7445.12i	−0.0454195	+	0.0891407i	−0.912601	−	0.408852i	$-0.865929\pi$
$17$	−3793.48	+	7445.12i	−0.0454195	+	0.0891407i	0.867181	+	0.497992i	$0.165929\pi$
$18$	155212.	−	155212.i	1.47855	−	1.47855i
$19$	−66191.4	+	21506.9i	−0.507910	+	0.165030i	−0.551752	−	0.834008i	$-0.686040\pi$
$19$	−66191.4	+	21506.9i	−0.507910	+	0.165030i	0.0438413	+	0.999039i	$0.486040\pi$
$20$	−1387.80	+	168701.i	−0.00867375	+	1.05438i
$21$	6585.52	−	20268.2i	0.0338620	−	0.104217i
$22$	175962.	−	89657.0i	0.751152	−	0.382731i
$23$	43681.7	−	275795.i	0.156095	−	0.985543i	−0.777934	−	0.628346i	$-0.783732\pi$
$23$	43681.7	−	275795.i	0.156095	−	0.985543i	0.934029	−	0.357197i	$-0.116268\pi$
$24$			40578.4i			0.122307i
$25$	−319757.	+	224373.i	−0.818578	+	0.574396i
$26$	−1.08100e6			−2.36555
$27$	377659.	+	59815.3i	0.710631	+	0.112553i
$28$	20561.6	+	40354.5i	0.0334522	+	0.0656537i
$29$	1.03446e6	+	336116.i	1.46258	+	0.475223i	0.928858	−	0.370435i	$-0.120791\pi$
$29$	1.03446e6	+	336116.i	1.46258	+	0.475223i	0.533726	+	0.845657i	$0.320791\pi$
$30$	−1.48158e6	+	1.05792e6i	−1.82911	+	1.30607i
$31$	82011.7	+	252406.i	0.0888033	+	0.273308i	0.985589	−	0.169156i	$-0.0541042\pi$
$31$	82011.7	+	252406.i	0.0888033	+	0.273308i	−0.896786	+	0.442465i	$0.854104\pi$
$32$	1.05960e6	+	1.05960e6i	1.01051	+	1.01051i
$33$	974550.	+	496558.i	0.821766	+	0.418711i
$34$	112635.	−	155029.i	0.0842865	−	0.116010i
$35$	−48375.5	+	93042.2i	−0.0322369	+	0.0620023i
$36$	−2.09020e6	+	1.51862e6i	−1.24445	+	0.904146i
$37$	−469299.	−	2.96304e6i	−0.250405	−	1.58099i	−0.717353	−	0.696710i	$-0.754647\pi$
$37$	−469299.	−	2.96304e6i	−0.250405	−	1.58099i	0.466948	−	0.884285i	$-0.345353\pi$
$38$	1.57645e6	−	249685.i	0.756041	−	0.119745i
$39$	−3.51909e6	−	4.84361e6i	−1.52115	−	2.09368i
$40$	32857.4	−	196953.i	0.0128349	−	0.0769349i
$41$	4.07195e6	+	2.95844e6i	1.44101	+	1.04695i	0.987830	+	0.155535i	$0.0497100\pi$
$41$	4.07195e6	+	2.95844e6i	1.44101	+	1.04695i	0.453179	+	0.891420i	$0.350290\pi$
$42$	−221880.	+	435465.i	−0.0713053	+	0.139945i
$43$	4.23448e6	−	4.23448e6i	1.23859	−	1.23859i	0.278007	−	0.960579i	$-0.410326\pi$
$43$	4.23448e6	−	4.23448e6i	1.23859	−	1.23859i	0.960579	−	0.278007i	$-0.0896739\pi$
$44$	−2.21071e6	+	718304.i	−0.589823	+	0.191645i
$45$	−5.67396e6	−	1.89532e6i	−1.38368	−	0.462204i
$46$	−1.97885e6	+	6.09029e6i	−0.441959	+	1.36021i
$47$	−1.61649e6	+	823644.i	−0.331270	+	0.168790i	−0.611712	−	0.791080i	$-0.709519\pi$
$47$	−1.61649e6	+	823644.i	−0.331270	+	0.168790i	0.280442	+	0.959871i	$0.409519\pi$
$48$	−1.22744e6	+	7.74974e6i	−0.231225	+	1.45990i
$49$		−	5.73665e6i		−	0.995116i
$50$	8.04771e6	−	3.93511e6i	1.28763	−	0.629617i
$51$	1.06131e6			0.156877
$52$	1.25671e7	+	1.99043e6i	1.71878	+	0.272228i
$53$	3.94375e6	+	7.74005e6i	0.499811	+	0.980935i	0.993770	+	0.111449i	$0.0355493\pi$
$53$	3.94375e6	+	7.74005e6i	0.499811	+	0.980935i	−0.493959	+	0.869485i	$0.664451\pi$
$54$	−8.33970e6	−	2.70973e6i	−0.980788	−	0.318677i
$55$	−4.32805e6	−	3.19924e6i	−0.472979	−	0.349620i
$56$	−16564.8	−	50981.1i	−0.00168435	−	0.00518390i
$57$	6.25072e6	+	6.25072e6i	0.592149	+	0.592149i
$58$	−2.22255e7	−	1.13245e7i	−1.96399	−	1.00070i
$59$	1.28469e7	−	1.76822e7i	1.06020	−	1.45925i	0.180589	−	0.983559i	$-0.442200\pi$
$59$	1.28469e7	−	1.76822e7i	1.06020	−	1.45925i	0.879615	−	0.475687i	$-0.157800\pi$
$60$	1.91719e7	−	9.57075e6i	1.47931	−	0.738483i
$61$	−2.40157e6	+	1.74484e6i	−0.173450	+	0.126019i	−0.671123	−	0.741346i	$-0.734188\pi$
$61$	−2.40157e6	+	1.74484e6i	−0.173450	+	0.126019i	0.497673	+	0.867365i	$0.334188\pi$
$62$	−952116.	−	6.01143e6i	−0.0644352	−	0.406828i
$63$	−1.58619e6	+	251228.i	−0.100692	+	0.0159480i
$64$	−1.09039e7	−	1.50079e7i	−0.649922	−	0.894541i
$65$	1.31585e7	+	2.63587e7i	0.737143	+	1.47663i
$66$	−2.02930e7	−	1.47437e7i	−1.06947	−	0.777017i
$67$	672566.	−	1.31999e6i	0.0333761	−	0.0655043i	−0.873716	−	0.486436i	$-0.838297\pi$
$67$	672566.	−	1.31999e6i	0.0333761	−	0.0655043i	0.907092	+	0.420932i	$0.138297\pi$
$68$	−1.59488e6	+	1.59488e6i	−0.0745921	+	0.0745921i
$69$	−3.37305e7	+	1.09597e7i	−1.48808	+	0.483507i
$70$	1.42954e6	−	1.93393e6i	0.0595393	−	0.0805470i
$71$	2.01027e6	−	6.18698e6i	0.0791082	−	0.243470i	−0.903679	−	0.428210i	$-0.859144\pi$
$71$	2.01027e6	−	6.18698e6i	0.0791082	−	0.243470i	0.982787	+	0.184740i	$0.0591443\pi$
$72$	2.72460e6	−	1.38825e6i	0.101385	−	0.0516581i
$73$	−2.16176e6	+	1.36488e7i	−0.0761232	+	0.480623i	0.919946	+	0.392045i	$0.128232\pi$
$73$	−2.16176e6	+	1.36488e7i	−0.0761232	+	0.480623i	−0.996069	+	0.0885779i	$0.971768\pi$
$74$			6.87989e7i			2.29432i
$75$	4.38304e7	+	2.32488e7i	1.38526	+	0.734777i
$76$	−1.87866e7			−0.563110
$77$	−1.42709e6	−	226029.i	−0.0405965	−	0.00642985i
$78$	6.23337e7	+	1.22337e8i	1.68401	+	3.30505i
$79$	6.29503e6	+	2.04538e6i	0.161618	+	0.0525129i	0.388708	−	0.921361i	$-0.372921\pi$
$79$	6.29503e6	+	2.04538e6i	0.161618	+	0.0525129i	−0.227091	+	0.973874i	$0.572921\pi$
$80$	1.22327e7	−	3.66207e7i	0.298651	−	0.894059i
$81$	4.39809e6	+	1.35359e7i	0.102170	+	0.314447i
$82$	−8.16195e7	−	8.16195e7i	−1.80525	−	1.80525i
$83$	−3.93429e7	−	2.00462e7i	−0.828998	−	0.422396i	−0.0126249	−	0.999920i	$-0.504019\pi$
$83$	−3.93429e7	−	2.00462e7i	−0.828998	−	0.422396i	−0.816373	+	0.577525i	$0.804019\pi$
$84$	3.38127e6	−	4.65391e6i	0.0679144	−	0.0934762i
$85$	−5.15122e6	−	859368.i	−0.0986811	−	0.0164628i
$86$	−1.11106e8	+	8.07232e7i	−2.03116	+	1.47572i
$87$	−2.16117e7	−	1.36451e8i	−0.377235	−	2.38177i
$88$	2.71730e6	−	430378.i	0.0453114	−	0.00717661i
$89$	5.61051e6	+	7.72221e6i	0.0894216	+	0.123078i	0.851384	−	0.524543i	$-0.175764\pi$
$89$	5.61051e6	+	7.72221e6i	0.0894216	+	0.123078i	−0.761962	+	0.647621i	$0.775764\pi$
$90$	1.21720e8	+	6.32863e7i	1.85521	+	0.964582i
$91$	6.39849e6	+	4.64877e6i	0.0933065	+	0.0677911i
$92$	3.42189e7	−	6.71584e7i	0.477656	−	0.937452i
$93$	2.38357e7	−	2.38357e7i	0.318637	−	0.318637i
$94$	3.95697e7	−	1.28570e7i	0.506818	−	0.164675i
$95$	−2.52775e7	−	3.54002e7i	−0.310341	−	0.434622i
$96$	5.88151e7	−	1.81014e8i	0.692474	−	2.13122i
$97$	7.82324e7	−	3.98614e7i	0.883689	−	0.450262i	0.0476070	−	0.998866i	$-0.484840\pi$
$97$	7.82324e7	−	3.98614e7i	0.883689	−	0.450262i	0.836082	+	0.548604i	$0.184840\pi$
$98$	−2.05805e7	+	1.29940e8i	−0.223126	+	1.40876i
$99$		−	8.24234e7i		−	0.858044i
$100$	−1.00804e8	+	3.09291e7i	−1.00804	+	0.309291i
$101$	8.38022e7			0.805322			0.402661	−	0.915349i	$-0.368085\pi$
$101$	8.38022e7			0.805322			0.402661	+	0.915349i	$0.368085\pi$
$102$	−2.40395e7	−	3.80748e6i	−0.222088	−	0.0351752i
$103$	−4.74614e7	−	9.31483e7i	−0.421688	−	0.827610i	−0.999931	−	0.0117453i	$-0.996261\pi$
$103$	−4.74614e7	−	9.31483e7i	−0.421688	−	0.827610i	0.578243	−	0.815865i	$-0.303739\pi$
$104$	−1.43223e7	−	4.65360e6i	−0.122428	−	0.0397791i
$105$	1.33191e7	+	109568.i	0.109576	+	0.000901415i
$106$	−6.15615e7	−	1.89467e8i	−0.487625	−	1.50076i
$107$	1.38090e8	+	1.38090e8i	1.05348	+	1.05348i	0.998487	+	0.0549916i	$0.0175132\pi$
$107$	1.38090e8	+	1.38090e8i	1.05348	+	1.05348i	0.0549916	+	0.998487i	$0.482487\pi$
$108$	9.19630e7	+	4.68575e7i	0.675955	+	0.344417i
$109$	1.82762e7	−	2.51550e7i	0.129473	−	0.178205i	−0.739359	−	0.673312i	$-0.764871\pi$
$109$	1.82762e7	−	2.51550e7i	0.129473	−	0.178205i	0.868832	+	0.495107i	$0.164871\pi$
$110$	8.65567e7	+	8.79926e7i	0.591194	+	0.601001i
$111$	−3.08265e8	+	2.23968e8i	−2.03064	+	1.47535i
$112$	−1.62146e6	−	1.02375e7i	−0.0103047	−	0.0650613i
$113$	6.53233e7	−	1.03462e7i	0.400640	−	0.0634552i	0.0471368	−	0.998888i	$-0.484990\pi$
$113$	6.53233e7	−	1.03462e7i	0.400640	−	0.0634552i	0.353503	+	0.935433i	$0.384990\pi$
$114$	−1.19159e8	−	1.64009e8i	−0.705519	−	0.971064i
$115$	1.72591e8	−	2.58822e7i	0.986794	−	0.147982i
$116$	2.37529e8	+	1.72575e8i	1.31185	+	0.953117i
$117$	−2.04826e8	+	4.01994e8i	−1.09306	+	2.14524i
$118$	−3.54428e8	+	3.54428e8i	−1.82810	+	1.82810i
$119$	−1.33338e6	+	433243.i	−0.00664917	+	0.00216045i
$120$	−2.41839e7	+	7.63845e6i	−0.116627	+	0.0368367i
$121$	−4.33251e7	+	1.33341e8i	−0.202115	+	0.622045i
$122$	6.06572e7	−	3.09064e7i	0.273806	−	0.139511i
$123$	1.00006e8	−	6.31414e8i	0.436925	−	2.75863i
$124$			7.16384e7i			0.303012i
$125$	−1.93913e8	−	1.48332e8i	−0.794266	−	0.607570i
$126$	3.68298e7			0.146123
$127$	3.22888e8	+	5.11404e7i	1.24119	+	0.196585i	0.742291	−	0.670078i	$-0.233739\pi$
$127$	3.22888e8	+	5.11404e7i	1.24119	+	0.196585i	0.498895	+	0.866662i	$0.333739\pi$
$128$	1.89827e7	+	3.72556e7i	0.0707160	+	0.138788i
$129$	−7.23388e8	−	2.35043e8i	−2.61224	−	0.848767i
$130$	−2.03487e8	−	6.44254e8i	−0.712465	−	2.25571i
$131$	1.56706e8	+	4.82291e8i	0.532109	+	1.63766i	0.749815	+	0.661648i	$0.230143\pi$
$131$	1.56706e8	+	4.82291e8i	0.532109	+	1.63766i	−0.217706	+	0.976014i	$0.569857\pi$
$132$	2.08767e8	+	2.08767e8i	0.687646	+	0.687646i
$133$	−1.04048e7	−	5.30151e6i	−0.0332527	−	0.0169431i
$134$	−1.99697e7	+	2.74859e7i	−0.0619373	+	0.0852494i
$135$	3.54416e7	+	2.36336e8i	0.106703	+	0.711533i
$136$	2.15970e6	−	1.56911e6i	0.00631302	−	0.00458668i
$137$	−3.41260e7	−	2.15463e8i	−0.0968730	−	0.611632i	−0.987588	−	0.157069i	$-0.949795\pi$
$137$	−3.41260e7	−	2.15463e8i	−0.0968730	−	0.611632i	0.890715	−	0.454563i	$-0.150205\pi$
$138$	8.03344e8	−	1.27237e8i	2.21506	−	0.350831i
$139$	2.22655e8	+	3.06458e8i	0.596449	+	0.820941i	0.995377	−	0.0960407i	$-0.0306179\pi$
$139$	2.22655e8	+	3.06458e8i	0.596449	+	0.820941i	−0.398929	+	0.916982i	$0.630618\pi$
$140$	−2.01799e7	+	1.98506e7i	−0.0525299	+	0.0516727i
$141$	1.86423e8	+	1.35444e8i	0.471654	+	0.342677i
$142$	−6.77304e7	+	1.32928e8i	−0.166583	+	0.326937i
$143$	−2.87025e8	+	2.87025e8i	−0.686398	+	0.686398i
$144$	5.62342e8	−	1.82716e8i	1.30783	−	0.424939i
$145$	−5.59218e6	+	6.79786e8i	−0.0126505	+	1.53780i
$146$	9.79315e7	−	3.01402e8i	0.215532	−	0.663338i
$147$	−6.49216e8	+	3.30792e8i	−1.39034	+	0.708412i
$148$	1.26678e8	−	7.99816e8i	0.264031	−	1.66703i
$149$			5.07790e7i			0.103024i	0.998672	+	0.0515120i	$0.0164041\pi$
$149$			5.07790e7i			0.103024i	−0.998672	+	0.0515120i	$0.983596\pi$
$150$	−9.09390e8	−	6.83849e8i	−1.79633	−	1.35081i
$151$	6.44843e7			0.124036			0.0620178	−	0.998075i	$-0.480246\pi$
$151$	6.44843e7			0.124036			0.0620178	+	0.998075i	$0.480246\pi$
$152$	2.19614e7	+	3.47834e6i	0.0411420	+	0.00651625i
$153$	−3.63090e7	−	7.12605e7i	−0.0662596	−	0.130042i
$154$	3.15139e7	+	1.02395e7i	0.0560298	+	0.0182052i
$155$	−1.34991e8	+	9.63900e7i	−0.233872	+	0.166996i
$156$	−4.99398e8	−	1.53699e9i	−0.843235	−	2.59521i
$157$	1.71778e8	+	1.71778e8i	0.282727	+	0.282727i	0.834196	−	0.551468i	$-0.185932\pi$
$157$	1.71778e8	+	1.71778e8i	0.282727	+	0.282727i	−0.551468	+	0.834196i	$0.685932\pi$
$158$	−1.35250e8	−	6.89133e7i	−0.217024	−	0.110579i
$159$	6.48532e8	−	8.92628e8i	1.01471	−	1.39663i
$160$	−4.32040e8	+	8.30957e8i	−0.659241	+	1.26794i
$161$	3.79038e7	−	2.75387e7i	0.0564130	−	0.0409864i
$162$	−5.10597e7	−	3.22378e8i	−0.0741341	−	0.468065i
$163$	−6.86515e8	+	1.08733e8i	−0.972522	+	0.154032i	−0.622424	−	0.782680i	$-0.713852\pi$
$163$	−6.86515e8	+	1.08733e8i	−0.972522	+	0.154032i	−0.350099	+	0.936713i	$0.613852\pi$
$164$	7.98575e8	+	1.09914e9i	1.10393	+	1.51943i
$165$	−1.12489e8	+	6.74283e8i	−0.151767	+	0.909717i
$166$	8.19232e8	+	5.95207e8i	1.07888	+	0.783855i
$167$	6.15418e7	−	1.20783e8i	0.0791233	−	0.155288i	−0.848055	−	0.529908i	$-0.822227\pi$
$167$	6.15418e7	−	1.20783e8i	0.0791233	−	0.155288i	0.927179	+	0.374619i	$0.122227\pi$
$168$	−4.81435e6	+	4.81435e6i	−0.00604367	+	0.00604367i
$169$	1.33734e9	−	4.34529e8i	1.63944	−	0.532687i
$170$	1.13596e8	+	3.79456e7i	0.136009	+	0.0454324i
$171$	2.05852e8	−	6.33547e8i	0.240752	−	0.740959i
$172$	1.44029e9	−	7.33862e8i	1.64564	−	0.838495i
$173$	9.45833e7	−	5.97176e8i	0.105592	−	0.666680i	−0.876942	−	0.480596i	$-0.840420\pi$
$173$	9.45833e7	−	5.97176e8i	0.105592	−	0.666680i	0.982534	−	0.186084i	$-0.0595797\pi$
$174$			3.16826e9i			3.45640i
$175$	−6.45574e7	−	1.13166e7i	−0.0688325	−	0.0120660i
$176$	5.31974e8			0.554421
$177$	−2.74188e9	−	4.34271e8i	−2.79354	−	0.442454i
$178$	−9.93791e7	−	1.95042e8i	−0.0989954	−	0.194289i
$179$	−6.78419e8	−	2.20432e8i	−0.660824	−	0.214715i	−0.0406434	−	0.999174i	$-0.512941\pi$
$179$	−6.78419e8	−	2.20432e8i	−0.660824	−	0.214715i	−0.620181	+	0.784459i	$0.712941\pi$
$180$	−1.29852e9	−	9.59850e8i	−1.23697	−	0.914352i
$181$	−3.62942e8	−	1.11702e9i	−0.338160	−	1.04075i	−0.965144	−	0.261718i	$-0.915711\pi$
$181$	−3.62942e8	−	1.11702e9i	−0.338160	−	1.04075i	0.626984	−	0.779032i	$-0.284289\pi$
$182$	−1.28253e8	−	1.28253e8i	−0.116892	−	0.116892i
$183$	3.35945e8	+	1.71172e8i	0.299546	+	0.152626i
$184$	−5.24361e7	+	7.21721e7i	−0.0457466	+	0.0629648i
$185$	1.67757e9	−	8.37453e8i	1.43217	−	0.714946i
$186$	−6.25411e8	+	4.54387e8i	−0.522533	+	0.379642i
$187$	−1.12563e7	−	7.10696e7i	−0.00920513	−	0.0581189i
$188$	−4.83688e8	+	7.66086e7i	−0.387199	+	0.0613262i
$189$	3.77100e7	+	5.19033e7i	0.0295535	+	0.0406769i
$190$	4.45556e8	+	8.92529e8i	0.341891	+	0.684870i
$191$	5.72658e8	+	4.16060e8i	0.430291	+	0.312624i	0.781765	−	0.623573i	$-0.214320\pi$
$191$	5.72658e8	+	4.16060e8i	0.430291	+	0.312624i	−0.351475	+	0.936197i	$0.614320\pi$
$192$	−1.06969e9	+	2.09939e9i	−0.787144	+	1.54486i
$193$	4.66867e8	−	4.66867e8i	0.336484	−	0.336484i	−0.518558	−	0.855042i	$-0.673531\pi$
$193$	4.66867e8	−	4.66867e8i	0.336484	−	0.336484i	0.855042	+	0.518558i	$0.173531\pi$
$194$	−1.91503e9	+	6.22232e8i	−1.35198	+	0.439284i
$195$	2.22426e9	−	3.00906e9i	1.53832	−	2.08110i
$196$	4.78512e8	−	1.47271e9i	0.324242	−	0.997914i
$197$	−9.33166e8	+	4.75472e8i	−0.619575	+	0.315689i	−0.735455	−	0.677574i	$-0.763031\pi$
$197$	−9.33166e8	+	4.75472e8i	−0.619575	+	0.315689i	0.115880	+	0.993263i	$0.463031\pi$
$198$	−2.95697e8	+	1.86696e9i	−0.192392	+	1.21471i
$199$			1.85727e9i			1.18431i	0.805826	+	0.592153i	$0.201722\pi$
$199$			1.85727e9i			1.18431i	−0.805826	+	0.592153i	$0.798278\pi$
$200$	1.23565e8	−	1.74921e7i	0.0772282	−	0.0109326i
$201$	−1.88165e8			−0.115280
$202$	−1.89819e9	−	3.00644e8i	−1.14008	−	0.180570i
$203$	8.28536e7	+	1.62609e8i	0.0487896	+	0.0957550i
$204$	2.72458e8	+	8.85270e7i	0.157318	+	0.0511158i
$205$	−9.96669e8	+	2.98369e9i	−0.564333	+	1.68942i
$206$	7.40868e8	+	2.28016e9i	0.411407	+	1.26618i
$207$	1.88986e9	+	1.88986e9i	1.02931	+	1.02931i
$208$	−2.59454e9	−	1.32198e9i	−1.38614	−	0.706273i
$209$	3.52279e8	−	4.84871e8i	0.184630	−	0.254121i
$210$	−3.01295e8	−	5.02644e7i	−0.154922	−	0.0258454i
$211$	1.18729e9	−	8.62620e8i	0.599002	−	0.435201i	−0.246522	−	0.969137i	$-0.579288\pi$
$211$	1.18729e9	−	8.62620e8i	0.599002	−	0.435201i	0.845525	+	0.533936i	$0.179288\pi$
$212$	3.66816e8	+	2.31598e9i	0.181595	+	1.14655i
$213$	−8.16098e8	+	1.29257e8i	−0.396482	+	0.0627966i
$214$	−2.63244e9	−	3.62325e9i	−1.25517	−	1.72760i
$215$	3.32076e9	+	1.72656e9i	1.55412	+	0.808033i
$216$	−9.88284e7	−	7.18030e7i	−0.0454011	−	0.0329859i
$217$	−2.02161e7	+	3.96764e7i	−0.00911715	+	0.0178934i
$218$	−5.04216e8	+	5.04216e8i	−0.223250	+	0.223250i
$219$	1.66929e9	−	5.42386e8i	0.725698	−	0.235793i
$220$	−8.44237e8	−	1.18233e9i	−0.360391	−	0.504715i
$221$	−1.21712e8	+	3.74592e8i	−0.0510230	+	0.157033i
$222$	7.78597e9	−	3.96715e9i	3.20554	−	1.63330i
$223$	1.14231e8	−	7.21226e8i	0.0461917	−	0.291643i	−0.953769	−	0.300542i	$-0.902833\pi$
$223$	1.14231e8	−	7.21226e8i	0.0461917	−	0.291643i	0.999960	+	0.00889859i	$0.00283255\pi$
$224$			2.51428e8i			0.0998670i
$225$	6.15101e7	−	3.73834e9i	0.0240003	−	1.45864i
$226$	−1.51675e9			−0.581405
$227$	−1.49273e9	−	2.36425e8i	−0.562184	−	0.0890412i	−0.131126	−	0.991366i	$-0.541859\pi$
$227$	−1.49273e9	−	2.36425e8i	−0.562184	−	0.0890412i	−0.431057	+	0.902325i	$0.641859\pi$
$228$	1.08329e9	+	2.12608e9i	0.400872	+	0.786755i
$229$	−1.31351e9	−	4.26785e8i	−0.477629	−	0.155191i	0.0603014	−	0.998180i	$-0.480794\pi$
$229$	−1.31351e9	−	4.26785e8i	−0.477629	−	0.155191i	−0.537931	+	0.842989i	$0.680794\pi$
$230$	−4.00218e9	−	3.29235e7i	−1.43016	−	0.0117651i
$231$	5.67105e7	+	1.74537e8i	0.0199166	+	0.0612971i
$232$	−2.45718e8	−	2.45718e8i	−0.0848173	−	0.0848173i
$233$	−7.47994e8	−	3.81122e8i	−0.253790	−	0.129312i	0.322468	−	0.946580i	$-0.395488\pi$
$233$	−7.47994e8	−	3.81122e8i	−0.253790	−	0.129312i	−0.576258	+	0.817268i	$0.695488\pi$
$234$	6.08166e9	−	8.37069e9i	2.02842	−	2.79189i
$235$	−7.95162e8	−	8.08353e8i	−0.260726	−	0.265051i
$236$	4.77297e9	−	3.46777e9i	1.53865	−	1.11790i
$237$	−1.31515e8	−	8.30351e8i	−0.0416851	−	0.263189i
$238$	3.17565e7	−	5.02974e6i	0.00989749	−	0.00156761i
$239$	−1.75209e9	−	2.41154e9i	−0.536987	−	0.739099i	0.451188	−	0.892429i	$-0.351000\pi$
$239$	−1.75209e9	−	2.41154e9i	−0.536987	−	0.739099i	−0.988175	+	0.153330i	$0.951000\pi$
$240$	−4.84973e9	+	7.27279e8i	−1.46175	+	0.219208i
$241$	−4.89928e9	−	3.55954e9i	−1.45233	−	1.05518i	−0.985281	−	0.170944i	$-0.945318\pi$
$241$	−4.89928e9	−	3.55954e9i	−1.45233	−	1.05518i	−0.467046	−	0.884233i	$-0.654682\pi$
$242$	1.45971e9	−	2.86485e9i	0.425605	−	0.835296i
$243$	3.05217e9	−	3.05217e9i	0.875355	−	0.875355i
$244$	−7.62072e8	+	2.47612e8i	−0.214999	+	0.0698575i
$245$	3.41892e9	−	1.07986e9i	0.948910	−	0.299712i
$246$	−4.53045e9	+	1.39433e10i	−1.23709	+	3.80737i
$247$	−2.92306e9	+	1.48937e9i	−0.785326	+	0.400144i
$248$	1.32639e7	−	8.37448e7i	0.00350642	−	0.0221386i
$249$			5.60835e9i			1.45894i
$250$	3.86014e9	+	4.05552e9i	0.988195	+	1.03821i
$251$	2.43230e8			0.0612804			0.0306402	−	0.999530i	$-0.490245\pi$
$251$	2.43230e8			0.0612804			0.0306402	+	0.999530i	$0.490245\pi$
$252$	−4.28162e8	−	6.78141e7i	−0.106171	−	0.0168158i
$253$	1.09166e9	+	2.14250e9i	0.266443	+	0.522925i
$254$	−7.13022e9	−	2.31675e9i	−1.71304	−	0.556601i
$255$	1.99780e8	+	6.32516e8i	0.0472488	+	0.149593i
$256$	1.17120e9	+	3.60460e9i	0.272692	+	0.839260i
$257$	3.12168e9	+	3.12168e9i	0.715577	+	0.715577i	0.967696	−	0.252119i	$-0.0811276\pi$
$257$	3.12168e9	+	3.12168e9i	0.715577	+	0.715577i	−0.252119	+	0.967696i	$0.581128\pi$
$258$	1.55421e10	+	7.91911e9i	3.50777	+	1.78730i
$259$	2.95865e8	−	4.07224e8i	0.0657499	−	0.0904969i
$260$	1.17937e9	+	7.86439e9i	0.258080	+	1.72096i
$261$	−8.42251e9	+	6.11931e9i	−1.81501	+	1.31868i
$262$	−1.81928e9	−	1.14865e10i	−0.386096	−	2.43771i
$263$	−2.13783e8	+	3.38599e7i	−0.0446838	+	0.00707722i	−0.178736	−	0.983897i	$-0.557201\pi$
$263$	−2.13783e8	+	3.38599e7i	−0.0446838	+	0.00707722i	0.134053	+	0.990974i	$0.457201\pi$
$264$	−2.05393e8	−	2.82700e8i	−0.0422835	−	0.0581982i
$265$	−3.87054e9	+	3.80737e9i	−0.784852	+	0.772044i
$266$	2.16658e8	+	1.57411e8i	0.0432762	+	0.0314420i
$267$	5.50403e8	−	1.08023e9i	0.108302	−	0.212554i
$268$	2.82765e8	−	2.82765e8i	0.0548134	−	0.0548134i
$269$	−8.44648e9	+	2.74443e9i	−1.61312	+	0.524135i	−0.970305	−	0.241886i	$-0.922234\pi$
$269$	−8.44648e9	+	2.74443e9i	−1.61312	+	0.524135i	−0.642816	+	0.766021i	$0.722234\pi$
$270$	4.50836e7	−	5.48036e9i	0.00848327	−	1.03123i
$271$	1.06136e9	−	3.26654e9i	0.196783	−	0.605634i	−0.803169	−	0.595752i	$-0.796854\pi$
$271$	1.06136e9	−	3.26654e9i	0.196783	−	0.605634i	0.999951	−	0.00988258i	$-0.00314577\pi$
$272$	4.59927e8	−	2.34344e8i	0.0840259	−	0.0428133i
$273$	1.57146e8	−	9.92178e8i	0.0282912	−	0.178624i
$274$			5.00284e9i			0.887594i
$275$	1.09197e9	−	3.18165e9i	0.190933	−	0.556317i
$276$	−9.57348e9			−1.64981
$277$	9.70209e9	+	1.53666e9i	1.64796	+	0.261011i	0.910235	−	0.414092i	$-0.135901\pi$
$277$	9.70209e9	+	1.53666e9i	1.64796	+	0.261011i	0.737724	+	0.675103i	$0.235901\pi$
$278$	−3.94389e9	−	7.74032e9i	−0.660307	−	1.29592i
$279$	−2.41589e9	−	7.84970e8i	−0.398713	−	0.129550i
$280$	2.72655e7	−	1.94689e7i	0.00443590	−	0.00316744i
$281$	−7.61813e7	−	2.34462e8i	−0.0122186	−	0.0376051i	0.944761	−	0.327759i	$-0.106293\pi$
$281$	−7.61813e7	−	2.34462e8i	−0.0122186	−	0.0376051i	−0.956980	+	0.290154i	$0.906293\pi$
$282$	−3.73673e9	−	3.73673e9i	−0.590875	−	0.590875i
$283$	6.92014e9	+	3.52599e9i	1.07887	+	0.549711i	0.900768	−	0.434301i	$-0.143004\pi$
$283$	6.92014e9	+	3.52599e9i	1.07887	+	0.549711i	0.178101	+	0.984012i	$0.443004\pi$
$284$	1.03215e9	−	1.42064e9i	0.158661	−	0.218378i
$285$	−2.54867e9	+	4.90193e9i	−0.386308	+	0.742998i
$286$	7.53108e9	−	5.47165e9i	1.12562	−	0.817813i
$287$	1.32110e8	+	8.34108e8i	0.0194719	+	0.122940i
$288$	−1.41662e10	+	2.24371e9i	−2.05913	+	0.326134i
$289$	4.05921e9	+	5.58702e9i	0.581902	+	0.800920i
$290$	2.56543e9	−	1.53777e10i	0.362717	−	2.17419i
$291$	−9.02222e9	−	6.55503e9i	−1.25818	−	0.914118i
$292$	−1.69346e9	+	3.32361e9i	−0.232940	+	0.457170i
$293$	−7.12778e9	+	7.12778e9i	−0.967128	+	0.967128i	−0.999477	−	0.0323487i	$-0.989701\pi$
$293$	−7.12778e9	+	7.12778e9i	−0.967128	+	0.967128i	0.0323487	+	0.999477i	$0.489701\pi$
$294$	1.58920e10	−	5.16363e9i	2.12711	−	0.691139i
$295$	1.29565e10	+	4.32798e9i	1.71080	+	0.571475i
$296$	−2.96172e8	+	9.11524e8i	−0.0385813	+	0.118741i
$297$	−2.93382e9	+	1.49486e9i	−0.377058	+	0.192121i
$298$	1.82172e8	−	1.15019e9i	0.0231002	−	0.145849i
$299$		−	1.31622e10i		−	1.64681i
$300$	9.31287e9	+	9.62446e9i	1.14974	+	1.18821i
$301$	1.00478e9			0.122407
$302$	−1.46062e9	−	2.31340e8i	−0.175594	−	0.0278114i
$303$	−4.83228e9	−	9.48388e9i	−0.573299	−	1.12516i
$304$	4.08901e9	+	1.32860e9i	0.478767	+	0.155561i
$305$	−1.49196e9	−	1.10284e9i	−0.172408	−	0.127442i
$306$	5.66780e8	+	1.74437e9i	0.0646441	+	0.198954i
$307$	3.32585e9	+	3.32585e9i	0.374412	+	0.374412i	0.869081	−	0.494670i	$-0.164711\pi$
$307$	3.32585e9	+	3.32585e9i	0.374412	+	0.374412i	−0.494670	+	0.869081i	$0.664711\pi$
$308$	−3.47508e8	−	1.77064e8i	−0.0386155	−	0.0196756i
$309$	−7.80481e9	+	1.07424e10i	−0.856108	+	1.17833i
$310$	3.40346e9	−	1.69903e9i	0.368531	−	0.183973i
$311$	1.18311e10	−	8.59580e9i	1.26469	−	0.918850i	0.265711	−	0.964053i	$-0.414393\pi$
$311$	1.18311e10	−	8.59580e9i	1.26469	−	0.918850i	0.998978	+	0.0452027i	$0.0143934\pi$
$312$	2.99219e8	+	1.88919e9i	0.0315770	+	0.199369i
$313$	4.43939e9	−	7.03130e8i	0.462536	−	0.0732586i	0.0791826	−	0.996860i	$-0.474769\pi$
$313$	4.43939e9	−	7.03130e8i	0.462536	−	0.0732586i	0.383354	+	0.923602i	$0.374769\pi$
$314$	−3.27465e9	−	4.50717e9i	−0.336857	−	0.463644i
$315$	−4.48310e8	−	8.98045e8i	−0.0455340	−	0.0912128i
$316$	1.44545e9	+	1.05018e9i	0.144962	+	0.105321i
$317$	−1.83538e9	+	3.60214e9i	−0.181756	+	0.356717i	−0.963851	−	0.266443i	$-0.914151\pi$
$317$	−1.83538e9	+	3.60214e9i	−0.181756	+	0.356717i	0.782094	+	0.623160i	$0.214151\pi$
$318$	−1.78921e10	+	1.78921e10i	−1.74966	+	1.74966i
$319$	−8.90812e9	+	2.89443e9i	−0.860248	+	0.279511i
$320$	6.89185e9	−	9.32356e9i	0.657258	−	0.889164i
$321$	7.66493e9	−	2.35902e10i	0.721918	−	2.22184i
$322$	−9.57349e8	+	4.87794e8i	−0.0890526	+	0.0453746i
$323$	9.09742e7	−	5.74389e8i	0.00835812	−	0.0527711i
$324$			3.84179e9i			0.348621i
$325$	−1.32323e10	+	1.28039e10i	−1.18605	+	1.14765i
$326$	1.59402e10			1.41132
$327$	−3.90065e9	−	6.17803e8i	−0.341151	−	0.0540330i
$328$	−7.30022e8	−	1.43275e9i	−0.0630726	−	0.123787i
$329$	−2.89506e8	−	9.40661e7i	−0.0247100	−	0.00802878i
$330$	4.96700e9	−	1.48695e10i	0.418830	−	1.25384i
$331$	5.59636e9	+	1.72238e10i	0.466223	+	1.43489i	0.857438	+	0.514588i	$0.172055\pi$
$331$	5.59636e9	+	1.72238e10i	0.466223	+	1.43489i	−0.391215	+	0.920299i	$0.627945\pi$
$332$	−8.42796e9	−	8.42796e9i	−0.693698	−	0.693698i
$333$	2.55844e10	+	1.30359e10i	2.08065	+	1.06014i
$334$	−1.82729e9	+	2.51504e9i	−0.146832	+	0.202097i
$335$	9.13287e8	+	1.52362e8i	0.0725150	+	0.0120976i
$336$	−1.06508e9	+	7.73827e8i	−0.0835652	+	0.0607137i
$337$	−2.68380e9	−	1.69448e10i	−0.208080	−	1.31377i	−0.841626	−	0.540060i	$-0.818401\pi$
$337$	−2.68380e9	−	1.69448e10i	−0.208080	−	1.31377i	0.633546	−	0.773705i	$-0.281599\pi$
$338$	−3.18508e10	+	5.04467e9i	−2.44036	+	0.386515i
$339$	−4.93761e9	−	6.79604e9i	−0.373868	−	0.514585i
$340$	−1.25074e9	−	6.50296e8i	−0.0935944	−	0.0486626i
$341$	−1.84895e9	−	1.34334e9i	−0.136744	−	0.0993500i
$342$	−6.93559e9	+	1.36119e10i	−0.506966	+	0.994977i
$343$	1.36457e9	−	1.36457e9i	0.0985869	−	0.0985869i
$344$	−1.81956e9	+	5.91210e8i	−0.129937	+	0.0422190i
$345$	−1.28812e10	−	1.80396e10i	−0.909241	−	1.27336i
$346$	−4.28478e9	+	1.31872e10i	−0.298968	+	0.920128i
$347$	−1.31410e10	+	6.69567e9i	−0.906380	+	0.461824i	−0.844070	−	0.536233i	$-0.819847\pi$
$347$	−1.31410e10	+	6.69567e9i	−0.906380	+	0.461824i	−0.0623104	+	0.998057i	$0.519847\pi$
$348$	5.83367e9	−	3.68323e10i	0.397763	−	2.51138i
$349$			1.00682e10i			0.678656i	0.940668	+	0.339328i	$0.110200\pi$
$349$			1.00682e10i			0.678656i	−0.940668	+	0.339328i	$0.889800\pi$
$350$	1.42168e9	+	4.87933e8i	0.0947392	+	0.0325153i
$351$	1.80236e10			1.18744
$352$	−1.27453e10	−	2.01865e9i	−0.830193	−	0.131490i
$353$	−1.75927e9	−	3.45275e9i	−0.113301	−	0.222365i	0.827392	−	0.561625i	$-0.189824\pi$
$353$	−1.75927e9	−	3.45275e9i	−0.113301	−	0.222365i	−0.940693	+	0.339260i	$0.889824\pi$
$354$	6.05480e10	+	1.96732e10i	3.85555	+	1.25274i
$355$	4.06572e9	+	3.34462e7i	0.255991	+	0.00210588i
$356$	7.96194e8	+	2.45043e9i	0.0495700	+	0.152561i
$357$	1.25917e8	+	1.25917e8i	0.00775195	+	0.00775195i
$358$	1.45760e10	+	7.42682e9i	0.887370	+	0.452138i
$359$	8.24667e9	−	1.13506e10i	0.496479	−	0.683345i	−0.485087	−	0.874466i	$-0.661212\pi$
$359$	8.24667e9	−	1.13506e10i	0.496479	−	0.683345i	0.981567	+	0.191121i	$0.0612123\pi$
$360$	1.34025e9	+	1.36248e9i	0.0797948	+	0.0811185i
$361$	−9.82124e9	+	7.13555e9i	−0.578279	+	0.420144i
$362$	4.21358e9	+	2.66035e10i	0.245367	+	1.54919i
$363$	1.75884e10	−	2.78573e9i	1.01298	−	0.160440i
$364$	1.25485e9	+	1.72715e9i	0.0714802	+	0.0983840i
$365$	−8.54135e9	+	1.28088e9i	−0.481233	+	0.0721669i
$366$	−6.99534e9	−	5.08242e9i	−0.389839	−	0.283234i
$367$	7.06911e9	−	1.38739e10i	0.389673	−	0.764777i	−0.609944	−	0.792445i	$-0.708808\pi$
$367$	7.06911e9	−	1.38739e10i	0.389673	−	0.764777i	0.999617	+	0.0276677i	$0.00880803\pi$
$368$	−1.21975e10	+	1.21975e10i	−0.665086	+	0.665086i
$369$	−4.58171e10	+	1.48869e10i	−2.47128	+	0.802969i
$370$	−4.10027e10	+	1.29507e10i	−2.18779	+	0.691011i
$371$	−4.50405e8	+	1.38620e9i	−0.0237743	+	0.0731697i
$372$	8.10731e9	−	4.13088e9i	0.423355	−	0.215710i
$373$	2.15119e9	−	1.35821e10i	0.111133	−	0.701668i	−0.867712	−	0.497067i	$-0.834410\pi$
$373$	2.15119e9	−	1.35821e10i	0.111133	−	0.701668i	0.978845	−	0.204601i	$-0.0655897\pi$
$374$			1.65017e9i			0.0843416i
$375$	−5.60519e9	+	3.04984e10i	−0.283443	+	1.54224i
$376$	5.79612e8			0.0289992
$377$	5.06394e10	+	8.02049e9i	2.50682	+	0.397041i
$378$	−6.67957e8	−	1.31094e9i	−0.0327176	−	0.0642119i
$379$	4.38054e9	+	1.42332e9i	0.212310	+	0.0689837i	0.413241	−	0.910622i	$-0.364397\pi$
$379$	4.38054e9	+	1.42332e9i	0.212310	+	0.0689837i	−0.200931	+	0.979605i	$0.564397\pi$
$380$	−3.53638e9	−	1.11964e10i	−0.169599	−	0.536963i
$381$	−1.28311e10	−	3.94901e10i	−0.608926	−	1.87408i
$382$	−1.14785e10	−	1.14785e10i	−0.539056	−	0.539056i
$383$	−3.74551e10	−	1.90843e10i	−1.74067	−	0.886915i	−0.967560	−	0.252640i	$-0.918701\pi$
$383$	−3.74551e10	−	1.90843e10i	−1.74067	−	0.886915i	−0.773108	−	0.634275i	$-0.781299\pi$
$384$	3.12162e9	−	4.29654e9i	0.143567	−	0.197603i
$385$	−1.33926e8	−	8.93063e8i	−0.00609568	−	0.0406480i
$386$	−1.22498e10	+	8.90003e9i	−0.551800	+	0.400906i
$387$	8.96654e9	+	5.66125e10i	0.399743	+	2.52388i
$388$	2.34088e10	−	3.70758e9i	1.03288	−	0.163593i
$389$	3.58057e9	+	4.92823e9i	0.156370	+	0.215225i	0.880013	−	0.474950i	$-0.157534\pi$
$389$	3.58057e9	+	4.92823e9i	0.156370	+	0.215225i	−0.723643	+	0.690175i	$0.757534\pi$
$390$	−6.11765e10	+	6.01782e10i	−2.64439	+	2.60124i
$391$	1.88762e9	+	1.37144e9i	0.0807623	+	0.0586772i
$392$	−8.32050e8	+	1.63299e9i	−0.0352375	+	0.0691575i
$393$	4.55447e10	−	4.55447e10i	1.90927	−	1.90927i
$394$	2.28428e10	−	7.42206e9i	0.947903	−	0.307992i
$395$	−3.40303e7	+	4.13673e9i	−0.00139790	+	0.169929i
$396$	6.87520e9	−	2.11597e10i	0.279579	−	0.860456i
$397$	−1.94161e10	+	9.89298e9i	−0.781626	+	0.398259i	−0.798802	−	0.601594i	$-0.794533\pi$
$397$	−1.94161e10	+	9.89298e9i	−0.781626	+	0.398259i	0.0171756	+	0.999852i	$0.494533\pi$
$398$	6.66305e9	−	4.20688e10i	0.265547	−	1.67660i
$399$			1.48321e9i			0.0585210i
$400$	2.41278e10	+	3.96996e8i	0.942493	+	0.0155077i
$401$	−2.65832e10			−1.02809			−0.514043	−	0.857764i	$-0.671853\pi$
$401$	−2.65832e10			−1.02809			−0.514043	+	0.857764i	$0.671853\pi$
$402$	4.26209e9	+	6.75049e8i	0.163199	+	0.0258482i
$403$	5.67939e9	+	1.11464e10i	0.215319	+	0.422587i
$404$	2.15137e10	+	6.99021e9i	0.807586	+	0.262401i
$405$	−7.23923e9	+	5.16916e9i	−0.269074	+	0.192132i
$406$	−1.29334e9	−	3.98048e9i	−0.0476000	−	0.146498i
$407$	1.82673e10	+	1.82673e10i	0.665730	+	0.665730i
$408$	−3.02111e8	−	1.53933e8i	−0.0109025	−	0.00555510i
$409$	1.02653e10	−	1.41289e10i	0.366840	−	0.504912i	−0.585199	−	0.810890i	$-0.698983\pi$
$409$	1.02653e10	−	1.41289e10i	0.366840	−	0.504912i	0.952039	+	0.305978i	$0.0989835\pi$
$410$	3.32795e10	−	6.40075e10i	1.17772	−	2.26514i
$411$	−2.24161e10	+	1.62863e10i	−0.785584	+	0.570760i
$412$	−4.41447e9	−	2.78719e10i	−0.153211	−	0.967336i
$413$	3.62207e9	−	5.73679e8i	0.124496	−	0.0197183i
$414$	−3.60269e10	−	4.95868e10i	−1.22638	−	1.68797i
$415$	4.54123e9	−	2.72210e10i	0.153102	−	0.917723i
$416$	5.71447e10	+	4.15180e10i	1.90811	+	1.38632i
$417$	2.18429e10	−	4.28691e10i	0.722381	−	1.41775i
$418$	−9.71892e9	+	9.71892e9i	−0.318356	+	0.318356i
$419$	−3.54304e10	+	1.15120e10i	−1.14953	+	0.373505i	−0.820966	−	0.570977i	$-0.806565\pi$
$419$	−3.54304e10	+	1.15120e10i	−1.14953	+	0.373505i	−0.328564	+	0.944482i	$0.606565\pi$
$420$	3.41012e9	+	1.13911e9i	0.109590	+	0.0366075i
$421$	−6.95114e8	+	2.13934e9i	−0.0221272	+	0.0681007i	−0.961510	−	0.274769i	$-0.911399\pi$
$421$	−6.95114e8	+	2.13934e9i	−0.0221272	+	0.0681007i	0.939383	+	0.342869i	$0.111399\pi$
$422$	−2.99879e10	+	1.52796e10i	−0.945575	+	0.481795i
$423$	2.71645e9	−	1.71510e10i	0.0848478	−	0.535708i
$424$		−	2.77528e9i		−	0.0858705i
$425$	−4.57497e8	−	3.23178e9i	−0.0140227	−	0.0990573i
$426$	1.89490e10			0.575372
$427$	−4.91943e8	−	7.79162e7i	−0.0147980	−	0.00234378i
$428$	2.39318e10	+	4.69688e10i	0.713182	+	1.39970i
$429$	4.90333e10	+	1.59319e10i	1.44765	+	0.470369i
$430$	−6.90238e10	−	5.10215e10i	−2.01895	−	1.49238i
$431$	3.05665e9	+	9.40741e9i	0.0885802	+	0.272622i	0.985528	−	0.169516i	$-0.0542203\pi$
$431$	3.05665e9	+	9.40741e9i	0.0885802	+	0.272622i	−0.896947	+	0.442138i	$0.854220\pi$
$432$	−1.67025e10	−	1.67025e10i	−0.479564	−	0.479564i
$433$	1.38680e10	+	7.06612e9i	0.394515	+	0.201016i	0.639983	−	0.768389i	$-0.278941\pi$
$433$	1.38680e10	+	7.06612e9i	0.394515	+	0.201016i	−0.245468	+	0.969405i	$0.578941\pi$
$434$	6.00253e8	−	8.26177e8i	0.0169190	−	0.0232870i
$435$	7.72537e10	−	3.85656e10i	2.15756	−	1.07707i
$436$	6.79012e9	−	4.93331e9i	0.187902	−	0.136519i
$437$	3.04015e9	+	1.91947e10i	0.0833622	+	0.526328i
$438$	−3.97567e10	+	6.29684e9i	−1.08022	+	0.171091i
$439$	−6.21452e9	−	8.55355e9i	−0.167321	−	0.230297i	0.717120	−	0.696950i	$-0.245460\pi$
$439$	−6.21452e9	−	8.55355e9i	−0.167321	−	0.230297i	−0.884441	+	0.466652i	$0.845460\pi$
$440$	7.68000e8	+	1.53844e9i	0.0204904	+	0.0410459i
$441$	4.44215e10	+	3.22741e10i	1.17446	+	0.853296i
$442$	4.10075e9	−	8.04818e9i	0.107442	−	0.210867i
$443$	−4.45565e10	+	4.45565e10i	−1.15690	+	1.15690i	−0.171763	+	0.985138i	$0.554946\pi$
$443$	−4.45565e10	+	4.45565e10i	−1.15690	+	1.15690i	−0.985138	+	0.171763i	$0.945054\pi$
$444$	−9.78197e10	+	3.17835e10i	−2.51706	+	0.817844i
$445$	−3.54615e9	+	4.79737e9i	−0.0904310	+	0.122339i
$446$	−5.17485e9	+	1.59266e10i	−0.130785	+	0.402515i
$447$	5.74665e9	−	2.92806e9i	0.143941	−	0.0733416i
$448$	4.86914e8	−	3.07426e9i	0.0120876	−	0.0763182i
$449$		−	4.23695e10i		−	1.04248i	−0.853410	−	0.521240i	$-0.825470\pi$
$449$		−	4.23695e10i		−	1.04248i	0.853410	−	0.521240i	$-0.174530\pi$
$450$	−1.48047e10	+	8.44558e10i	−0.361035	+	2.05958i
$451$	−4.33429e10			−1.04764
$452$	1.76328e10	+	2.79276e9i	0.422442	+	0.0669082i
$453$	−3.71835e9	−	7.29768e9i	−0.0882994	−	0.173297i
$454$	3.29634e10	+	1.07105e10i	0.775906	+	0.252107i
$455$	−1.56612e9	+	4.68845e9i	−0.0365410	+	0.109391i
$456$	−8.72714e8	−	2.68594e9i	−0.0201843	−	0.0621208i
$457$	−4.92305e10	−	4.92305e10i	−1.12868	−	1.12868i	−0.990393	−	0.138283i	$-0.955842\pi$
$457$	−4.92305e10	−	4.92305e10i	−1.12868	−	1.12868i	−0.138283	−	0.990393i	$-0.544158\pi$
$458$	2.82210e10	+	1.43793e10i	0.641372	+	0.326795i
$459$	−1.87797e9	+	2.58481e9i	−0.0423095	+	0.0582341i
$460$	4.64664e10	+	7.75190e9i	1.03778	+	0.173132i
$461$	2.47816e10	−	1.80049e10i	0.548689	−	0.398646i	−0.278613	−	0.960403i	$-0.589875\pi$
$461$	2.47816e10	−	1.80049e10i	0.548689	−	0.398646i	0.827302	+	0.561758i	$0.189875\pi$
$462$	−6.58382e8	−	4.15686e9i	−0.0144514	−	0.0912426i
$463$	−5.05147e10	+	8.00075e9i	−1.09924	+	0.174103i	−0.679598	−	0.733585i	$-0.737846\pi$
$463$	−5.05147e10	+	8.00075e9i	−1.09924	+	0.174103i	−0.419646	+	0.907688i	$0.637846\pi$
$464$	−3.94950e10	−	5.43602e10i	−0.852061	−	1.17276i
$465$	1.86924e10	+	9.71877e9i	0.399810	+	0.207874i
$466$	1.55754e10	+	1.13162e10i	0.330290	+	0.239970i
$467$	−2.40149e10	+	4.71319e10i	−0.504909	+	0.990939i	0.488088	+	0.872795i	$0.337695\pi$
$467$	−2.40149e10	+	4.71319e10i	−0.504909	+	0.990939i	−0.992996	+	0.118145i	$0.962305\pi$
$468$	−8.61146e10	+	8.61146e10i	−1.79512	+	1.79512i
$469$	2.36403e8	−	7.68119e7i	0.00488609	−	0.00158759i
$470$	1.51111e10	+	2.11625e10i	0.309674	+	0.433687i
$471$	9.53485e9	−	2.93452e10i	0.193745	−	0.596285i
$472$	−6.22163e9	+	3.17008e9i	−0.125353	+	0.0638708i
$473$	−8.06716e9	+	5.09341e10i	−0.161167	+	1.01757i
$474$			1.92800e10i			0.381938i
$475$	1.63396e10	−	2.17286e10i	0.320971	−	0.426832i
$476$	−3.78444e8			−0.00737180
$477$	−8.21220e10	−	1.30069e10i	−1.58630	−	0.251246i
$478$	3.10347e10	+	6.09091e10i	0.594479	+	1.16673i
$479$	3.45358e10	+	1.12214e10i	0.656036	+	0.213159i	0.618074	−	0.786120i	$-0.287913\pi$
$479$	3.45358e10	+	1.12214e10i	0.656036	+	0.213159i	0.0379621	+	0.999279i	$0.487913\pi$
$480$	1.18952e11	+	9.78544e8i	2.24082	+	0.0184338i
$481$	−4.36980e10	−	1.34489e11i	−0.816359	−	2.51249i
$482$	9.82029e10	+	9.82029e10i	1.81943	+	1.81943i
$483$	−5.30220e9	−	2.70160e9i	−0.0974243	−	0.0496402i
$484$	−2.22448e10	+	3.06173e10i	−0.405365	+	0.557938i
$485$	3.84830e10	+	3.91214e10i	0.695507	+	0.707045i
$486$	−8.00841e10	+	5.81845e10i	−1.43549	+	1.04295i
$487$	5.38713e9	+	3.40130e10i	0.0957727	+	0.604685i	0.988161	+	0.153418i	$0.0490280\pi$
$487$	5.38713e9	+	3.40130e10i	0.0957727	+	0.604685i	−0.892389	+	0.451267i	$0.850972\pi$
$488$	9.36702e8	−	1.48359e8i	0.0165167	−	0.00261598i
$489$	5.18918e10	+	7.14229e10i	0.907535	+	1.24911i
$490$	−8.13155e10	+	1.21943e10i	−1.41055	+	0.211530i
$491$	2.20696e10	+	1.60345e10i	0.379724	+	0.275885i	0.761232	−	0.648480i	$-0.224595\pi$
$491$	2.20696e10	+	1.60345e10i	0.379724	+	0.275885i	−0.381508	+	0.924366i	$0.624595\pi$
$492$	7.83419e10	−	1.53755e11i	1.33701	−	2.62402i
$493$	−6.42662e9	+	6.42662e9i	−0.108791	+	0.108791i
$494$	7.15530e10	−	2.32490e10i	1.20149	−	0.390388i
$495$	4.91226e10	−	1.55153e10i	0.818202	−	0.258428i
$496$	5.06632e9	−	1.55925e10i	0.0837078	−	0.257626i
$497$	9.72548e8	−	4.95538e8i	0.0159399	−	0.00812179i
$498$	2.01202e10	−	1.27034e11i	0.327126	−	2.06539i
$499$		−	8.65704e10i		−	1.39626i	−0.715970	−	0.698131i	$-0.754015\pi$
$499$		−	8.65704e10i		−	1.39626i	0.715970	−	0.698131i	$-0.245985\pi$
$500$	−3.74083e10	−	5.42547e10i	−0.598533	−	0.868076i
$501$	−1.72176e10			−0.273289
$502$	−5.50936e9	−	8.72596e8i	−0.0867533	−	0.0137404i
$503$	−2.62270e10	−	5.14734e10i	−0.409710	−	0.804102i	0.590285	−	0.807195i	$-0.299015\pi$
$503$	−2.62270e10	−	5.14734e10i	−0.409710	−	0.804102i	−0.999995	+	0.00309313i	$0.999015\pi$
$504$	4.87962e8	+	1.58548e8i	0.00756247	+	0.00245720i
$505$	1.57749e10	+	4.99443e10i	0.242549	+	0.767928i
$506$	−1.70407e10	−	5.24458e10i	−0.259947	−	0.800035i
$507$	−1.26291e11	−	1.26291e11i	−1.91135	−	1.91135i
$508$	7.86259e10	+	4.00619e10i	1.18062	+	0.601557i
$509$	−3.52027e10	+	4.84524e10i	−0.524451	+	0.721845i	−0.986272	−	0.165128i	$-0.947196\pi$
$509$	−3.52027e10	+	4.84524e10i	−0.524451	+	0.721845i	0.461821	+	0.886973i	$0.347196\pi$
$510$	−2.25600e9	−	1.50437e10i	−0.0333471	−	0.222369i
$511$	−1.87582e9	+	1.36286e9i	−0.0275111	+	0.0199880i
$512$	−1.52716e10	−	9.64212e10i	−0.222231	−	1.40311i
$513$	−2.62842e10	+	4.16301e9i	−0.379512	+	0.0601088i
$514$	−5.95096e10	−	8.19079e10i	−0.852578	−	1.17347i
$515$	4.65803e10	−	4.58202e10i	0.662176	−	0.651370i
$516$	−1.66102e11	−	1.20680e11i	−2.34302	−	1.70231i
$517$	7.09272e9	−	1.39202e10i	0.0992774	−	0.194843i
$518$	−8.16253e9	+	8.16253e9i	−0.113372	+	0.113372i
$519$	−7.30363e10	+	2.37309e10i	−1.00663	+	0.327073i
$520$	7.74249e7	−	9.41178e9i	0.00105893	−	0.128724i
$521$	−2.63414e10	+	8.10705e10i	−0.357510	+	1.10030i	0.597030	+	0.802219i	$0.296347\pi$
$521$	−2.63414e10	+	8.10705e10i	−0.357510	+	1.10030i	−0.954540	+	0.298083i	$0.903653\pi$
$522$	2.12730e11	−	1.08391e11i	2.86515	−	1.45987i
$523$	4.30370e9	−	2.71725e10i	0.0575221	−	0.363180i	−0.942091	−	0.335358i	$-0.891143\pi$
$523$	4.30370e9	−	2.71725e10i	0.0575221	−	0.363180i	0.999613	−	0.0278224i	$-0.00885728\pi$
$524$			1.36885e11i			1.81564i
$525$	2.44187e9	+	7.95850e9i	0.0321429	+	0.104760i
$526$	4.96384e9			0.0648447
$527$	−2.19030e9	−	3.46910e8i	−0.0283963	−	0.00449753i
$528$	−3.06752e10	−	6.02034e10i	−0.394686	−	0.774614i
$529$	3.23189e8	+	1.05011e8i	0.00412700	+	0.00134094i
$530$	1.01330e11	−	7.23545e10i	1.28421	−	0.916985i
$531$	6.46455e10	+	1.98958e11i	0.813130	+	2.50256i
$532$	−2.22890e9	−	2.22890e9i	−0.0278256	−	0.0278256i
$533$	2.11391e11	+	1.07709e11i	2.61926	+	1.33458i
$534$	−1.63424e10	+	2.24934e10i	−0.200980	+	0.276625i
$535$	−5.63046e10	+	1.08292e11i	−0.687272	+	1.32185i
$536$	−3.82905e8	+	2.78196e8i	−0.00463908	+	0.00337049i
$537$	1.41734e10	+	8.94873e10i	0.170442	+	1.07613i
$538$	2.01166e11	−	3.18615e10i	2.40118	−	0.380310i
$539$	2.90369e10	+	3.99659e10i	0.344029	+	0.473515i
$540$	−1.06150e10	+	6.36284e10i	−0.124838	+	0.748301i
$541$	4.76016e10	+	3.45846e10i	0.555690	+	0.403732i	0.829879	−	0.557944i	$-0.188409\pi$
$541$	4.76016e10	+	3.45846e10i	0.555690	+	0.403732i	−0.274189	+	0.961676i	$0.588409\pi$
$542$	−3.57596e10	+	7.01821e10i	−0.414377	+	0.813260i
$543$	−1.05485e11	+	1.05485e11i	−1.21336	+	1.21336i
$544$	−1.19084e10	+	3.86927e9i	−0.135975	+	0.0441808i
$545$	1.84322e10	+	6.15706e9i	0.208925	+	0.0697891i
$546$	−7.11896e9	+	2.19099e10i	−0.0801025	+	0.246530i
$547$	−1.20914e11	+	6.16088e10i	−1.35060	+	0.688167i	−0.971467	−	0.237174i	$-0.923779\pi$
$547$	−1.20914e11	+	6.16088e10i	−1.35060	+	0.688167i	−0.379136	+	0.925341i	$0.623779\pi$
$548$	9.21165e9	−	5.81601e10i	0.102145	−	0.644915i
$549$		−	2.84128e10i		−	0.312770i
$550$	−3.61483e10	+	6.81496e10i	−0.395037	+	0.744754i
$551$	−7.57011e10			−0.821288
$552$	1.11913e10	+	1.77253e9i	0.120538	+	0.0190914i
$553$	5.04192e8	+	9.89533e8i	0.00539133	+	0.0105811i
$554$	−2.14248e11	−	6.96133e10i	−2.27445	−	0.739015i
$555$	−1.91508e11	−	1.41560e11i	−2.01844	−	1.49200i
$556$	3.15972e10	+	9.72462e10i	0.330636	+	1.01759i
$557$	−3.30981e10	−	3.30981e10i	−0.343861	−	0.343861i	0.513956	−	0.857817i	$-0.328180\pi$
$557$	−3.30981e10	−	3.30981e10i	−0.343861	−	0.343861i	−0.857817	+	0.513956i	$0.828180\pi$
$558$	5.19058e10	+	2.64473e10i	0.535401	+	0.272800i
$559$	1.65919e11	−	2.28368e11i	1.69922	−	2.33877i
$560$	5.79613e9	−	2.89346e9i	0.0589367	−	0.0294216i
$561$	−7.39387e9	+	5.37196e9i	−0.0746484	+	0.0542352i
$562$	8.84429e8	+	5.58406e9i	0.00886579	+	0.0559764i
$563$	−7.75606e10	+	1.22844e10i	−0.771983	+	0.122270i	−0.529985	−	0.848007i	$-0.677803\pi$
$563$	−7.75606e10	+	1.22844e10i	−0.771983	+	0.122270i	−0.241998	+	0.970277i	$0.577803\pi$
$564$	3.65607e10	+	5.03214e10i	0.361325	+	0.497321i
$565$	1.84625e10	+	3.69838e10i	0.181175	+	0.362925i
$566$	−1.44097e11	−	1.04693e11i	−1.40407	−	1.02012i
$567$	−1.08414e9	+	2.12775e9i	−0.0104895	+	0.0205868i
$568$	−1.46961e9	+	1.46961e9i	−0.0141192	+	0.0141192i
$569$	1.25769e11	−	4.08647e10i	1.19984	−	0.389851i	0.360137	−	0.932899i	$-0.382730\pi$
$569$	1.25769e11	−	4.08647e10i	1.19984	−	0.389851i	0.839702	+	0.543048i	$0.182730\pi$
$570$	7.53153e10	−	1.01889e11i	0.713483	−	0.965227i
$571$	−2.12802e9	+	6.54938e9i	−0.0200185	+	0.0616106i	−0.960567	−	0.278050i	$-0.910312\pi$
$571$	−2.12802e9	+	6.54938e9i	−0.0200185	+	0.0616106i	0.940548	+	0.339660i	$0.110312\pi$
$572$	−9.76267e10	+	4.97433e10i	−0.911978	+	0.464676i
$573$	1.40644e10	−	8.87989e10i	0.130467	−	0.823738i
$574$		−	1.93672e10i		−	0.178410i
$575$	4.79136e10	+	9.79885e10i	0.438316	+	0.896404i
$576$	1.77558e11			1.61306
$577$	1.50489e11	+	2.38351e10i	1.35769	+	0.215038i	0.792476	−	0.609903i	$-0.208792\pi$
$577$	1.50489e11	+	2.38351e10i	1.35769	+	0.215038i	0.565219	+	0.824941i	$0.308792\pi$
$578$	−7.19008e10	−	1.41113e11i	−0.644202	−	1.26432i
$579$	−7.97563e10	−	2.59144e10i	−0.709660	−	0.230583i
$580$	−5.81387e10	+	1.74048e11i	−0.513752	+	1.53800i
$581$	−2.28942e9	−	7.04611e9i	−0.0200919	−	0.0618365i
$582$	1.80844e11	+	1.80844e11i	1.57621	+	1.57621i
$583$	−6.66526e10	−	3.39612e10i	−0.576956	−	0.293974i
$584$	2.59501e9	−	3.57173e9i	0.0223094	−	0.0307062i
$585$	−2.78137e11	−	4.64010e10i	−2.37484	−	0.396190i
$586$	1.87021e11	−	1.35879e11i	1.58599	−	1.15229i
$587$	−2.49434e9	−	1.57486e10i	−0.0210089	−	0.132645i	0.974955	−	0.222404i	$-0.0713903\pi$
$587$	−2.49434e9	−	1.57486e10i	−0.0210089	−	0.132645i	−0.995964	+	0.0897590i	$0.971390\pi$
$588$	−1.94259e11	+	3.07676e10i	−1.62507	+	0.257385i
$589$	−1.08569e10	−	1.49433e10i	−0.0902082	−	0.124161i
$590$	−2.77949e11	−	1.44514e11i	−2.29381	−	1.19262i
$591$	1.07618e11	+	7.81892e10i	0.882136	+	0.640909i
$592$	−8.41358e10	+	1.65126e11i	−0.685006	+	1.34440i
$593$	1.05044e11	−	1.05044e11i	0.849480	−	0.849480i	−0.140588	−	0.990068i	$-0.544899\pi$
$593$	1.05044e11	−	1.05044e11i	0.849480	−	0.849480i	0.990068	+	0.140588i	$0.0448992\pi$
$594$	7.18164e10	−	2.33346e10i	0.576870	−	0.187436i
$595$	−5.09199e8	−	7.13115e8i	−0.00406274	−	0.00568973i
$596$	−4.23564e9	+	1.30360e10i	−0.0335686	+	0.103314i
$597$	2.10188e11	−	1.07096e11i	1.65466	−	0.843093i
$598$	−4.72200e10	+	2.98135e11i	−0.369250	+	2.33136i
$599$		−	5.96305e10i		−	0.463192i	−0.972812	−	0.231596i	$-0.925605\pi$
$599$		−	5.96305e10i		−	0.463192i	0.972812	−	0.231596i	$-0.0743948\pi$
$600$	−9.10471e9	−	1.29752e10i	−0.0702524	−	0.100117i
$601$	2.88280e10			0.220961			0.110481	−	0.993878i	$-0.464761\pi$
$601$	2.88280e10			0.220961			0.110481	+	0.993878i	$0.464761\pi$
$602$	−2.27592e10	−	3.60471e9i	−0.173289	−	0.0274463i
$603$	6.43743e9	+	1.26342e10i	0.0486904	+	0.0955602i
$604$	1.65544e10	+	5.37884e9i	0.124384	+	0.0404149i
$605$	−8.76238e10	−	7.20827e8i	−0.654034	−	0.00538034i
$606$	7.54314e10	+	2.32154e11i	0.559321	+	1.72141i
$607$	1.34506e11	+	1.34506e11i	0.990803	+	0.990803i	0.999958	−	0.00915537i	$-0.00291429\pi$
$607$	1.34506e11	+	1.34506e11i	0.990803	+	0.990803i	−0.00915537	+	0.999958i	$0.502914\pi$
$608$	−9.29250e10	−	4.73476e10i	−0.680014	−	0.346485i
$609$	1.36249e10	−	1.87531e10i	0.0990522	−	0.136334i
$610$	2.98376e10	+	3.03326e10i	0.215499	+	0.219074i
$611$	−6.91850e10	+	5.02659e10i	−0.496418	+	0.360669i
$612$	−3.37717e9	−	2.13226e10i	−0.0240740	−	0.151997i
$613$	−2.18814e11	+	3.46568e10i	−1.54965	+	0.245441i	−0.871838	−	0.489794i	$-0.837072\pi$
$613$	−2.18814e11	+	3.46568e10i	−1.54965	+	0.245441i	−0.677813	+	0.735235i	$0.737072\pi$
$614$	−6.34017e10	−	8.72650e10i	−0.446095	−	0.613997i
$615$	3.95135e11	−	5.92555e10i	2.76213	−	0.414217i
$616$	3.73451e8	+	2.71328e8i	0.00259365	+	0.00188439i
$617$	−2.08079e10	+	4.08377e10i	−0.143578	+	0.281787i	−0.951585	−	0.307385i	$-0.900546\pi$
$617$	−2.08079e10	+	4.08377e10i	−0.143578	+	0.281787i	0.808008	+	0.589172i	$0.200546\pi$
$618$	2.15324e11	−	2.15324e11i	1.47618	−	1.47618i
$619$	−1.66158e10	+	5.39879e9i	−0.113177	+	0.0367734i	−0.365058	−	0.930985i	$-0.618951\pi$
$619$	−1.66158e10	+	5.39879e9i	−0.113177	+	0.0367734i	0.251881	+	0.967758i	$0.418951\pi$
$620$	−4.26950e10	+	1.34852e10i	−0.288942	+	0.0912619i
$621$	3.29935e10	−	1.01544e11i	0.221852	−	0.682789i
$622$	−2.98822e11	+	1.52257e11i	−1.99642	+	1.01723i
$623$	−2.50538e8	+	1.58184e9i	−0.00166311	+	0.0105005i
$624$			3.69853e11i			2.43944i
$625$	5.19010e10	−	1.43490e11i	0.340138	−	0.940375i
$626$	−1.03078e11			−0.671228
$627$	−7.51863e10	−	1.19083e10i	−0.486484	−	0.0770514i
$628$	2.97701e10	+	5.84272e10i	0.191400	+	0.375644i
$629$	2.38404e10	+	7.74623e9i	0.152304	+	0.0494866i
$630$	6.93282e9	+	2.19498e10i	0.0440096	+	0.139338i
$631$	−3.67843e10	−	1.13210e11i	−0.232030	−	0.714115i	−0.997501	−	0.0706454i	$-0.977494\pi$
$631$	−3.67843e10	−	1.13210e11i	−0.232030	−	0.714115i	0.765471	−	0.643470i	$-0.222506\pi$
$632$	−1.49528e9	−	1.49528e9i	−0.00937245	−	0.00937245i
$633$	−1.66085e11	−	8.46248e10i	−1.03447	−	0.527087i
$634$	5.44957e10	−	7.50070e10i	0.337292	−	0.464242i
$635$	3.03016e10	+	2.02061e11i	0.186368	+	1.24276i
$636$	2.40948e11	−	1.75059e11i	1.47263	−	1.06993i
$637$	−4.23012e10	−	2.67079e11i	−0.256918	−	1.62212i
$638$	2.12160e11	−	3.36029e10i	1.28051	−	0.202812i
$639$	3.65989e10	+	5.03741e10i	0.219515	+	0.302137i
$640$	−1.86303e10	+	1.83263e10i	−0.111045	+	0.109233i
$641$	1.31583e11	+	9.56004e10i	0.779411	+	0.566275i	0.904802	−	0.425832i	$-0.140019\pi$
$641$	1.31583e11	+	9.56004e10i	0.779411	+	0.566275i	−0.125391	+	0.992107i	$0.540019\pi$
$642$	−2.58248e11	+	5.06840e11i	−1.52019	+	2.98353i
$643$	2.40260e11	−	2.40260e11i	1.40552	−	1.40552i	0.624490	−	0.781033i	$-0.285307\pi$
$643$	2.40260e11	−	2.40260e11i	1.40552	−	1.40552i	0.781033	−	0.624490i	$-0.214693\pi$
$644$	1.20277e10	−	3.90805e9i	0.0699263	−	0.0227204i
$645$	3.91056e9	−	4.75368e11i	0.0225944	−	2.74658i
$646$	−4.12129e9	+	1.26840e10i	−0.0236648	+	0.0728327i
$647$	7.05138e10	−	3.59286e10i	0.402399	−	0.205033i	−0.241065	−	0.970509i	$-0.577497\pi$
$647$	7.05138e10	−	3.59286e10i	0.402399	−	0.205033i	0.643464	+	0.765476i	$0.277497\pi$
$648$	7.11309e8	−	4.49103e9i	0.00403421	−	0.0254710i
$649$			1.88214e11i			1.06090i
$650$	3.45658e11	−	2.42548e11i	1.93639	−	1.35876i
$651$	5.65589e9			0.0314903
$652$	−1.85312e11	−	2.93505e10i	−1.02544	−	0.162415i
$653$	−9.36281e10	−	1.83756e11i	−0.514936	−	1.01062i	−0.991331	−	0.131388i	$-0.958057\pi$
$653$	−9.36281e10	−	1.83756e11i	−0.514936	−	1.01062i	0.476395	−	0.879232i	$-0.341943\pi$
$654$	8.61367e10	+	2.79875e10i	0.470844	+	0.152986i
$655$	−2.57937e11	+	1.84180e11i	−1.40136	+	1.00064i
$656$	−9.60824e10	−	2.95711e11i	−0.518834	−	1.59681i
$657$	−9.35272e10	−	9.35272e10i	−0.501969	−	0.501969i
$658$	6.22008e9	+	3.16929e9i	0.0331812	+	0.0169067i
$659$	−1.17925e11	+	1.62310e11i	−0.625266	+	0.860604i	−0.997723	−	0.0674449i	$-0.978515\pi$
$659$	−1.17925e11	+	1.62310e11i	−0.625266	+	0.860604i	0.372457	+	0.928049i	$0.378515\pi$
$660$	−8.51224e10	+	1.63719e11i	−0.448609	+	0.862824i
$661$	1.01747e11	−	7.39236e10i	0.532987	−	0.387238i	−0.288487	−	0.957484i	$-0.593152\pi$
$661$	1.01747e11	−	7.39236e10i	0.532987	−	0.387238i	0.821474	+	0.570246i	$0.193152\pi$
$662$	−6.49711e10	−	4.10211e11i	−0.338289	−	2.13587i
$663$	4.94109e10	−	7.82591e9i	0.255722	−	0.0405024i
$664$	8.29179e9	+	1.14127e10i	0.0426556	+	0.0587104i
$665$	1.20100e9	−	7.19900e9i	0.00614123	−	0.0368117i
$666$	−5.32741e11	−	3.87059e11i	−2.70782	−	1.96735i
$667$	1.37886e11	−	2.70617e11i	0.696654	−	1.36726i
$668$	2.58739e10	−	2.58739e10i	0.129944	−	0.129944i
$669$	−8.82079e10	+	2.86605e10i	−0.440355	+	0.143080i
$670$	−2.01401e10	−	6.72758e9i	−0.0999454	−	0.0333856i
$671$	7.89938e9	−	2.43118e10i	0.0389675	−	0.119930i
$672$	2.84541e10	−	1.44981e10i	0.139530	−	0.0710942i
$673$	−3.41740e10	+	2.15766e11i	−0.166585	+	1.05178i	0.752752	+	0.658304i	$0.228726\pi$
$673$	−3.41740e10	+	2.15766e11i	−0.166585	+	1.05178i	−0.919337	+	0.393472i	$0.871274\pi$
$674$			3.93443e11i			1.90652i
$675$	−1.34180e11	+	6.56102e10i	−0.646357	+	0.316051i
$676$	3.79568e11			1.81762
$677$	2.67563e11	+	4.23778e10i	1.27371	+	0.201736i	0.756427	−	0.654078i	$-0.226943\pi$
$677$	2.67563e11	+	4.23778e10i	1.27371	+	0.201736i	0.517284	+	0.855814i	$0.326943\pi$
$678$	8.74600e10	+	1.71650e11i	0.413895	+	0.812316i
$679$	1.40110e10	+	4.55246e9i	0.0659160	+	0.0214174i
$680$	1.34170e9	+	9.91766e8i	0.00627508	+	0.00463846i
$681$	5.93190e10	+	1.82565e11i	0.275807	+	0.848847i
$682$	3.70609e10	+	3.70609e10i	0.171308	+	0.171308i
$683$	2.72769e10	+	1.38983e10i	0.125347	+	0.0638673i	0.515539	−	0.856866i	$-0.327592\pi$
$683$	2.72769e10	+	1.38983e10i	0.125347	+	0.0638673i	−0.390193	+	0.920733i	$0.627592\pi$
$684$	1.05692e11	−	1.45473e11i	0.482858	−	0.664597i
$685$	1.21987e11	−	6.08969e10i	0.554055	−	0.276588i
$686$	−3.58041e10	+	2.60132e10i	−0.161672	+	0.117462i
$687$	2.74416e10	+	1.73259e11i	0.123192	+	0.777803i
$688$	−3.65386e11	+	5.78715e10i	−1.63079	+	0.258292i
$689$	2.40682e11	+	3.31270e11i	1.06799	+	1.46996i
$690$	2.27052e11	+	4.54825e11i	1.00168	+	2.00654i
$691$	−3.45890e10	−	2.51303e10i	−0.151714	−	0.110227i	0.509339	−	0.860566i	$-0.329890\pi$
$691$	−3.45890e10	−	2.51303e10i	−0.151714	−	0.110227i	−0.661053	+	0.750340i	$0.729890\pi$
$692$	7.40938e10	−	1.45417e11i	0.323115	−	0.634149i
$693$	9.77898e9	−	9.77898e9i	0.0423995	−	0.0423995i
$694$	3.21676e11	−	1.04519e11i	1.38669	−	0.450564i
$695$	−1.40730e11	+	1.90385e11i	−0.603182	+	0.816007i
$696$	−1.36390e10	+	4.19766e10i	−0.0581228	+	0.178884i
$697$	−3.74728e10	+	1.90933e10i	−0.158776	+	0.0809004i
$698$	3.61200e10	−	2.28053e11i	0.152169	−	0.960758i
$699$			1.06627e11i			0.446641i
$700$	−1.56292e10	−	8.29013e9i	−0.0650945	−	0.0345278i
$701$	−1.19838e11			−0.496275			−0.248138	−	0.968725i	$-0.579819\pi$
$701$	−1.19838e11			−0.496275			−0.248138	+	0.968725i	$0.579819\pi$
$702$	−4.08250e11	−	6.46604e10i	−1.68104	−	0.266250i
$703$	9.47893e10	+	1.86034e11i	0.388095	+	0.761679i
$704$	1.51929e11	+	4.93649e10i	0.618516	+	0.200968i
$705$	−4.56298e10	+	1.36600e11i	−0.184711	+	0.552962i
$706$	2.74620e10	+	8.45192e10i	0.110538	+	0.340202i
$707$	9.94256e9	+	9.94256e9i	0.0397943	+	0.0397943i
$708$	−6.67671e11	−	3.40195e11i	−2.65723	−	1.35393i
$709$	1.81259e11	−	2.49482e11i	0.717324	−	0.987312i	−0.282284	−	0.959331i	$-0.591092\pi$
$709$	1.81259e11	−	2.49482e11i	0.717324	−	0.987312i	0.999608	−	0.0279810i	$-0.00890779\pi$
$710$	−9.19720e10	−	1.53435e10i	−0.361928	−	0.0603798i
$711$	−5.12538e10	+	3.72381e10i	−0.200562	+	0.145717i
$712$	−4.77047e8	−	3.01195e9i	−0.00185627	−	0.0117200i
$713$	7.31948e10	−	1.15929e10i	0.283219	−	0.0448575i
$714$	−2.40039e9	−	3.30385e9i	−0.00923611	−	0.0127124i
$715$	−2.25091e11	−	1.17032e11i	−0.861257	−	0.447795i
$716$	−1.55777e11	−	1.13178e11i	−0.592720	−	0.430637i
$717$	−1.71883e11	+	3.37340e11i	−0.650365	+	1.27641i
$718$	−2.27515e11	+	2.27515e11i	−0.856075	+	0.856075i
$719$	1.94763e11	−	6.32823e10i	0.728771	−	0.236792i	0.0789491	−	0.996879i	$-0.474844\pi$
$719$	1.94763e11	−	6.32823e10i	0.728771	−	0.236792i	0.649822	+	0.760087i	$0.274844\pi$
$720$	2.14750e11	+	3.00750e11i	0.799103	+	1.11912i
$721$	5.42044e9	−	1.66824e10i	0.0200583	−	0.0617330i
$722$	2.48058e11	−	1.26392e11i	0.912862	−	0.465126i
$723$	−1.20325e11	+	7.59705e11i	−0.440356	+	2.78030i
$724$		−	3.17035e11i		−	1.15386i
$725$	−4.06191e11	+	1.24630e11i	−1.47020	+	0.451096i
$726$	−4.08386e11			−1.47002
$727$	−2.75169e11	−	4.35826e10i	−0.985060	−	0.156018i	−0.356934	−	0.934130i	$-0.616178\pi$
$727$	−2.75169e11	−	4.35826e10i	−0.985060	−	0.156018i	−0.628126	+	0.778112i	$0.716178\pi$
$728$	−1.14713e9	−	2.25136e9i	−0.00408400	−	0.00801530i
$729$	−4.32602e11	−	1.40561e11i	−1.53172	−	0.497685i
$730$	1.98064e11	+	1.62935e9i	0.697452	+	0.00573751i
$731$	1.54628e10	+	4.75896e10i	0.0541525	+	0.166664i
$732$	7.19656e10	+	7.19656e10i	0.250657	+	0.250657i
$733$	1.84877e11	+	9.41996e10i	0.640423	+	0.326312i	0.743871	−	0.668323i	$-0.232988\pi$
$733$	1.84877e11	+	9.41996e10i	0.640423	+	0.326312i	−0.103448	+	0.994635i	$0.532988\pi$
$734$	−2.09895e11	+	2.88895e11i	−0.723131	+	0.995304i
$735$	−3.19353e11	−	3.24651e11i	−1.09426	−	1.11242i
$736$	3.38517e11	−	2.45947e11i	1.15364	−	0.838167i
$737$	1.99569e9	+	1.26003e10i	0.00676432	+	0.0427082i
$738$	1.09120e12	−	1.72830e11i	3.67858	−	0.582630i
$739$	−1.20479e11	−	1.65826e11i	−0.403957	−	0.555999i	0.557775	−	0.829992i	$-0.311655\pi$
$739$	−1.20479e11	−	1.65826e11i	−0.403957	−	0.555999i	−0.961732	+	0.273993i	$0.911655\pi$
$740$	5.00519e11	−	7.50592e10i	1.66914	−	0.250309i
$741$	3.37105e11	+	2.44921e11i	1.11813	+	0.812368i
$742$	1.51751e10	−	2.97828e10i	0.0500629	−	0.0982540i
$743$	−1.63084e11	+	1.63084e11i	−0.535125	+	0.535125i	−0.922093	−	0.386968i	$-0.873522\pi$
$743$	−1.63084e11	+	1.63084e11i	−0.535125	+	0.535125i	0.386968	+	0.922093i	$0.373522\pi$
$744$	−1.02422e10	+	3.32790e9i	−0.0334274	+	0.0108612i
$745$	−3.02632e10	+	9.55860e9i	−0.0982403	+	0.0310291i
$746$	−9.74527e10	+	2.99929e11i	−0.314658	+	0.968417i
$747$	3.76568e11	−	1.91871e11i	1.20937	−	0.616207i
$748$	3.03843e9	−	1.91839e10i	0.00970606	−	0.0612816i
$749$			3.27668e10i			0.104113i
$750$	2.36376e11	−	6.70705e11i	0.747066	−	2.11976i
$751$	1.22324e11			0.384549			0.192274	−	0.981341i	$-0.438414\pi$
$751$	1.22324e11			0.384549			0.192274	+	0.981341i	$0.438414\pi$
$752$	1.10695e11	+	1.75324e10i	0.346145	+	0.0548240i
$753$	−1.40253e10	−	2.75263e10i	−0.0436248	−	0.0856185i
$754$	−1.11825e12	−	3.63342e11i	−3.45982	−	1.12416i
$755$	1.21385e10	+	3.84313e10i	0.0373574	+	0.118276i
$756$	5.35146e9	+	1.64701e10i	0.0163827	+	0.0504208i
$757$	−2.35994e11	−	2.35994e11i	−0.718650	−	0.718650i	0.249679	−	0.968329i	$-0.419675\pi$
$757$	−2.35994e11	−	2.35994e11i	−0.718650	−	0.718650i	−0.968329	+	0.249679i	$0.919675\pi$
$758$	−9.41166e10	−	4.79548e10i	−0.285095	−	0.145263i
$759$	1.79518e11	−	2.47086e11i	0.540931	−	0.744528i
$760$	2.06098e9	+	1.37433e10i	0.00617759	+	0.0411942i
$761$	−3.77066e11	+	2.73954e11i	−1.12429	+	0.816845i	−0.984854	−	0.173386i	$-0.944529\pi$
$761$	−3.77066e11	+	2.73954e11i	−1.12429	+	0.816845i	−0.139437	+	0.990231i	$0.544529\pi$
$762$	1.48963e11	+	9.40516e11i	0.441834	+	2.78963i
$763$	5.15282e9	−	8.16127e8i	0.0152036	−	0.00240802i
$764$	1.12308e11	+	1.54578e11i	0.329637	+	0.453706i
$765$	3.56350e10	−	3.50535e10i	0.104047	−	0.102349i
$766$	7.79924e11	+	5.66648e11i	2.26536	+	1.64588i
$767$	4.67722e11	−	9.17955e11i	1.35147	−	2.65241i
$768$	3.40397e11	−	3.40397e11i	0.978454	−	0.978454i
$769$	−2.42887e11	+	7.89187e10i	−0.694542	+	0.225670i	−0.634951	−	0.772552i	$-0.718980\pi$
$769$	−2.42887e11	+	7.89187e10i	−0.694542	+	0.225670i	−0.0595912	+	0.998223i	$0.518980\pi$
$770$	−1.70361e8	+	2.07091e10i	−0.000484626	+	0.0589112i
$771$	1.73275e11	−	5.33286e11i	0.490364	−	1.50919i
$772$	1.58797e11	−	8.09111e10i	0.447067	−	0.227792i
$773$	4.20452e10	−	2.65463e11i	0.117760	−	0.743509i	−0.856176	−	0.516685i	$-0.827166\pi$
$773$	4.20452e10	−	2.65463e11i	0.117760	−	0.743509i	0.973936	−	0.226824i	$-0.0728341\pi$
$774$		−	1.31449e12i		−	3.66263i
$775$	−8.28570e10	−	6.23073e10i	−0.229680	−	0.172716i
$776$	−2.80511e10			−0.0773577
$777$	−6.31459e10	−	1.00013e10i	−0.173245	−	0.0274393i
$778$	−6.34227e10	−	1.24474e11i	−0.173112	−	0.339751i
$779$	−3.33155e11	−	1.08249e11i	−0.904683	−	0.293949i
$780$	8.22007e11	−	5.86953e11i	2.22074	−	1.58571i
$781$	1.73112e10	+	5.32785e10i	0.0465290	+	0.143202i
$782$	−3.78362e10	−	3.78362e10i	−0.101177	−	0.101177i
$783$	3.70567e11	+	1.88813e11i	0.985871	+	0.502326i
$784$	−2.08302e11	+	2.86703e11i	−0.551353	+	0.758872i
$785$	−7.00405e10	+	1.34711e11i	−0.184447	+	0.354752i
$786$	−1.19502e12	+	8.68233e11i	−3.13101	+	2.27481i
$787$	−3.85416e10	−	2.43342e11i	−0.100469	−	0.634335i	−0.985613	−	0.169018i	$-0.945940\pi$
$787$	−3.85416e10	−	2.43342e11i	−0.100469	−	0.634335i	0.885144	−	0.465317i	$-0.154060\pi$
$788$	−2.79223e11	+	4.42245e10i	−0.724178	+	0.114699i
$789$	1.61593e10	+	2.22413e10i	0.0416979	+	0.0573922i
$790$	1.56115e10	−	9.35783e10i	0.0400808	−	0.240252i
$791$	8.97768e9	+	6.52266e9i	0.0229328	+	0.0166617i
$792$	−1.19548e10	+	2.34626e10i	−0.0303837	+	0.0596314i
$793$	−9.89428e10	+	9.89428e10i	−0.250202	+	0.250202i
$794$	4.75282e11	−	1.54428e11i	1.19583	−	0.388548i
$795$	6.54066e11	+	2.18484e11i	1.63739	+	0.546954i
$796$	−1.54921e11	+	4.76799e11i	−0.385886	+	1.18763i
$797$	−4.84280e11	+	2.46753e11i	−1.20023	+	0.611545i	−0.935688	−	0.352830i	$-0.885219\pi$
$797$	−4.84280e11	+	2.46753e11i	−1.20023	+	0.611545i	−0.264538	+	0.964375i	$0.585219\pi$
$798$	5.32108e9	−	3.35960e10i	0.0131216	−	0.0828468i
$799$		−	1.51594e10i		−	0.0371960i
$800$	−5.76560e11	−	1.01068e11i	−1.40762	−	0.246748i
$801$	−9.13610e10			−0.221938
$802$	6.02131e11	+	9.53682e10i	1.45544	+	0.230519i
$803$	−5.40251e10	−	1.06030e11i	−0.129937	−	0.255016i
$804$	−4.83056e10	−	1.56954e10i	−0.115604	−	0.0375620i
$805$	2.35475e10	+	1.74060e10i	0.0560739	+	0.0414491i
$806$	−8.86547e10	−	2.72851e11i	−0.210069	−	0.646526i
$807$	7.97636e11	+	7.97636e11i	1.88066	+	1.88066i
$808$	−2.38551e10	−	1.21548e10i	−0.0559674	−	0.0285168i
$809$	−6.96251e10	+	9.58307e10i	−0.162544	+	0.223723i	−0.882518	−	0.470278i	$-0.844154\pi$
$809$	−6.96251e10	+	9.58307e10i	−0.162544	+	0.223723i	0.719974	+	0.694001i	$0.244154\pi$
$810$	1.82519e11	−	9.11148e10i	0.424003	−	0.211665i
$811$	−2.09784e11	+	1.52417e11i	−0.484942	+	0.352331i	−0.803236	−	0.595661i	$-0.796890\pi$
$811$	−2.09784e11	+	1.52417e11i	−0.484942	+	0.352331i	0.318294	+	0.947992i	$0.396890\pi$
$812$	7.70637e9	+	4.86561e10i	0.0177266	+	0.111921i
$813$	−4.30875e11	+	6.82439e10i	−0.986255	+	0.156207i
$814$	−3.48236e11	−	4.79306e11i	−0.793188	−	1.09173i
$815$	−1.94032e11	−	3.88681e11i	−0.439787	−	0.880973i
$816$	−5.30415e10	−	3.85369e10i	−0.119634	−	0.0869192i
$817$	−1.89216e11	+	3.71357e11i	−0.424687	+	0.833495i
$818$	−2.83205e11	+	2.83205e11i	−0.632539	+	0.632539i
$819$	−7.19952e10	+	2.33926e10i	−0.160018	+	0.0519929i
$820$	−5.04744e11	+	6.82836e11i	−1.11639	+	1.51029i
$821$	9.37915e10	−	2.88661e11i	0.206439	−	0.635353i	−0.793213	−	0.608945i	$-0.791593\pi$
$821$	9.37915e10	−	2.88661e11i	0.206439	−	0.635353i	0.999651	−	0.0264079i	$-0.00840689\pi$
$822$	5.66171e11	−	2.88479e11i	1.24011	−	0.631868i
$823$	−4.44807e10	+	2.80840e11i	−0.0969555	+	0.612153i	0.890589	+	0.454810i	$0.150293\pi$
$823$	−4.44807e10	+	2.80840e11i	−0.0969555	+	0.612153i	−0.987544	+	0.157343i	$0.949707\pi$
$824$			3.33994e10i			0.0724485i
$825$	−4.23034e11	+	5.98853e10i	−0.913185	+	0.129272i
$826$	−8.41010e10			−0.180668
$827$	−3.11424e10	−	4.93247e9i	−0.0665778	−	0.0105449i	0.123057	−	0.992400i	$-0.460730\pi$
$827$	−3.11424e10	−	4.93247e9i	−0.0665778	−	0.0105449i	−0.189635	+	0.981855i	$0.560730\pi$
$828$	3.27524e11	+	6.42803e11i	0.696823	+	1.36759i
$829$	6.78118e11	+	2.20334e11i	1.43578	+	0.466513i	0.920579	−	0.390557i	$-0.127718\pi$
$829$	6.78118e11	+	2.20334e11i	1.43578	+	0.466513i	0.515200	+	0.857070i	$0.327718\pi$
$830$	−2.00519e11	+	6.00287e11i	−0.422516	+	1.26487i
$831$	−3.85547e11	−	1.18659e12i	−0.808488	−	2.48827i
$832$	−6.18314e11	−	6.18314e11i	−1.29037	−	1.29037i
$833$	4.27100e10	+	2.17619e10i	0.0887054	+	0.0451976i
$834$	−6.48555e11	+	8.92659e11i	−1.34055	+	1.84511i
$835$	8.35685e10	+	1.39416e10i	0.171908	+	0.0286791i
$836$	1.30882e11	−	9.50911e10i	0.267950	−	0.194677i
$837$	1.58747e10	+	1.00229e11i	0.0323447	+	0.204217i
$838$	8.43829e11	−	1.33649e11i	1.71111	−	0.271013i
$839$	2.97125e11	+	4.08957e11i	0.599641	+	0.825335i	0.995675	−	0.0929009i	$-0.0296140\pi$
$839$	2.97125e11	+	4.08957e11i	0.599641	+	0.825335i	−0.396035	+	0.918236i	$0.629614\pi$
$840$	−3.77550e9	−	1.96300e9i	−0.00758329	−	0.00394279i
$841$	5.52422e11	+	4.01358e11i	1.10430	+	0.802321i
$842$	2.34199e10	−	4.59641e10i	0.0465947	−	0.0914472i
$843$	−2.21412e10	+	2.21412e10i	−0.0438420	+	0.0438420i
$844$	3.76756e11	−	1.22415e11i	0.742489	−	0.241249i
$845$	5.10711e11	+	7.15233e11i	1.00172	+	1.40288i
$846$	−1.23060e11	+	3.78739e11i	−0.240234	+	0.739365i
$847$	−2.09602e10	+	1.06798e10i	−0.0407251	+	0.0207505i
$848$	8.39483e10	−	5.30029e11i	0.162341	−	1.02498i
$849$		−	9.86470e11i		−	1.89869i
$850$	−1.23147e9	+	7.48439e10i	−0.00235911	+	0.143377i
$851$	−8.37692e11			−1.59722
$852$	−2.20290e11	−	3.48905e10i	−0.418058	−	0.0662139i
$853$	6.83934e9	+	1.34230e10i	0.0129187	+	0.0253543i	0.897376	−	0.441267i	$-0.145471\pi$
$853$	6.83934e9	+	1.34230e10i	0.0129187	+	0.0253543i	−0.884457	+	0.466622i	$0.845471\pi$
$854$	1.08634e10	+	3.52973e9i	0.0204237	+	0.00663606i
$855$	4.16330e11	+	3.42489e9i	0.779064	+	0.00640888i
$856$	−1.92798e10	−	5.93371e10i	−0.0359094	−	0.110518i
$857$	1.56643e11	+	1.56643e11i	0.290393	+	0.290393i	0.837236	−	0.546842i	$-0.184170\pi$
$857$	1.56643e11	+	1.56643e11i	0.290393	+	0.290393i	−0.546842	+	0.837236i	$0.684170\pi$
$858$	−1.05349e12	−	5.36780e11i	−1.94393	−	0.990483i
$859$	−4.14013e11	+	5.69840e11i	−0.760398	+	1.04660i	0.236782	+	0.971563i	$0.423907\pi$
$859$	−4.14013e11	+	5.69840e11i	−0.760398	+	1.04660i	−0.997181	+	0.0750360i	$0.976093\pi$
$860$	7.08485e11	+	7.20238e11i	1.29520	+	1.31669i
$861$	8.67781e10	−	6.30480e10i	0.157906	−	0.114725i
$862$	−3.54863e10	−	2.24052e11i	−0.0642734	−	0.405806i
$863$	9.45907e11	−	1.49817e11i	1.70532	−	0.270096i	0.773704	−	0.633547i	$-0.218402\pi$
$863$	9.45907e11	−	1.49817e11i	1.70532	−	0.270096i	0.931613	+	0.363451i	$0.118402\pi$
$864$	3.36786e11	+	4.63547e11i	0.604365	+	0.831838i
$865$	3.73708e11	−	5.60423e10i	0.667526	−	0.100104i
$866$	−2.88773e11	−	2.09806e11i	−0.513434	−	0.373032i
$867$	3.98217e11	−	7.81544e11i	0.704763	−	1.38317i
$868$	−8.49941e9	+	8.49941e9i	−0.0149730	+	0.0149730i
$869$	−5.42090e10	+	1.76136e10i	−0.0950588	+	0.0308865i
$870$	−1.88822e12	+	5.96392e11i	−3.29591	+	1.04101i
$871$	2.15791e10	−	6.64135e10i	0.0374938	−	0.115394i
$872$	−8.85101e9	+	4.50981e9i	−0.0153083	+	0.00779997i
$873$	−1.31467e11	+	8.30047e11i	−0.226338	+	1.42904i
$874$		−	4.45684e11i		−	0.763802i
$875$	−5.40779e9	−	4.06051e10i	−0.00922545	−	0.0692705i
$876$	4.73782e11			0.804567
$877$	−9.34477e11	−	1.48007e11i	−1.57968	−	0.250197i	−0.695917	−	0.718123i	$-0.745002\pi$
$877$	−9.34477e11	−	1.48007e11i	−1.57968	−	0.250197i	−0.883768	+	0.467925i	$0.845002\pi$
$878$	1.10078e11	+	2.16040e11i	0.185235	+	0.363543i
$879$	1.21766e12	+	3.95641e11i	2.03972	+	0.662745i
$880$	1.00138e11	+	3.17045e11i	0.166982	+	0.528677i
$881$	9.49457e10	+	2.92213e11i	0.157606	+	0.485060i	0.998416	−	0.0562701i	$-0.0179208\pi$
$881$	9.49457e10	+	2.92213e11i	0.157606	+	0.485060i	−0.840810	+	0.541330i	$0.817921\pi$
$882$	−8.90399e11	−	8.90399e11i	−1.47133	−	1.47133i
$883$	−5.04380e11	−	2.56994e11i	−0.829688	−	0.422747i	−0.0130624	−	0.999915i	$-0.504158\pi$
$883$	−5.04380e11	−	2.56994e11i	−0.829688	−	0.422747i	−0.816626	+	0.577167i	$0.804158\pi$
$884$	−6.24919e10	+	8.60128e10i	−0.102333	+	0.140849i
$885$	−2.57314e11	−	1.71585e12i	−0.419459	−	2.79709i
$886$	1.16909e12	−	8.49394e11i	1.89720	−	1.37840i
$887$	−1.28126e11	−	8.08956e11i	−0.206987	−	1.30686i	−0.844138	−	0.536126i	$-0.819887\pi$
$887$	−1.28126e11	−	8.08956e11i	−0.206987	−	1.30686i	0.637151	−	0.770739i	$-0.280113\pi$
$888$	1.20235e11	−	1.90434e10i	0.193366	−	0.0306262i
$889$	3.22410e10	+	4.43759e10i	0.0516180	+	0.0710461i
$890$	9.75341e10	−	9.59425e10i	0.155452	−	0.152915i
$891$	−9.91545e10	−	7.20400e10i	−0.157326	−	0.114304i
$892$	8.94851e10	−	1.75624e11i	0.141349	−	0.277412i
$893$	8.92838e10	−	8.92838e10i	0.140400	−	0.140400i
$894$	−1.40671e11	+	4.57068e10i	−0.220219	+	0.0715534i
$895$	3.66746e9	−	4.45817e11i	0.00571576	−	0.694808i
$896$	−2.16796e9	+	6.67230e9i	−0.00336372	+	0.0103525i
$897$	−1.48957e12	+	7.58972e11i	−2.30086	+	1.17235i
$898$	−1.52002e11	+	9.59704e11i	−0.233746	+	1.47581i
$899$			2.88669e11i			0.441938i
$900$	3.27618e11	−	9.54573e11i	0.499341	−	1.45492i
$901$	−7.25861e10			−0.110142
$902$	9.81753e11	+	1.55494e11i	1.48312	+	0.234903i
$903$	−5.79388e10	−	1.13711e11i	−0.0871402	−	0.171022i
$904$	−2.00955e10	−	6.52943e9i	−0.0300902	−	0.00977691i
$905$	5.97400e11	−	4.26573e11i	0.890576	−	0.635915i
$906$	5.80431e10	+	1.78638e11i	0.0861465	+	0.265132i
$907$	−1.18968e11	−	1.18968e11i	−0.175793	−	0.175793i	0.613726	−	0.789519i	$-0.289670\pi$
$907$	−1.18968e11	−	1.18968e11i	−0.175793	−	0.175793i	−0.789519	+	0.613726i	$0.789670\pi$
$908$	−3.63492e11	−	1.85209e11i	−0.534751	−	0.272469i
$909$	−4.71467e11	+	6.48918e11i	−0.690551	+	0.950461i
$910$	5.22940e10	−	1.00579e11i	0.0762582	−	0.146670i
$911$	−5.46646e11	+	3.97161e11i	−0.793656	+	0.576625i	−0.909046	−	0.416695i	$-0.863188\pi$
$911$	−5.46646e11	+	3.97161e11i	−0.793656	+	0.576625i	0.115390	+	0.993320i	$0.463188\pi$
$912$	−8.54269e10	−	5.39364e11i	−0.123485	−	0.779656i
$913$	3.75559e11	−	5.94827e10i	0.540499	−	0.0856067i
$914$	9.38495e11	+	1.29173e12i	1.34477	+	1.85091i
$915$	−3.87771e10	+	2.32437e11i	−0.0553212	+	0.331606i
$916$	−3.01604e11	−	2.19128e11i	−0.428406	−	0.311255i
$917$	−3.86285e10	+	7.58127e10i	−0.0546299	+	0.107217i
$918$	5.18107e10	−	5.18107e10i	0.0729540	−	0.0729540i
$919$	5.05180e10	−	1.64143e10i	0.0708245	−	0.0230123i	−0.273390	−	0.961903i	$-0.588145\pi$
$919$	5.05180e10	−	1.64143e10i	0.0708245	−	0.0230123i	0.344215	+	0.938891i	$0.388145\pi$
$920$	−5.28836e10	−	1.76652e10i	−0.0738192	−	0.0246585i
$921$	1.84608e11	−	5.68165e11i	0.256573	−	0.789652i
$922$	−6.25918e11	+	3.18921e11i	−0.866151	+	0.441326i
$923$	4.79697e10	−	3.02869e11i	0.0660937	−	0.417299i
$924$			4.95375e10i			0.0679588i
$925$	8.14889e11	+	8.42153e11i	1.11309	+	1.15033i
$926$	1.17290e12			1.59521
$927$	9.88305e11	+	1.56532e11i	1.33836	+	0.211975i
$928$	7.39963e11	+	1.45226e12i	0.997741	+	1.95818i
$929$	−8.00025e10	−	2.59944e10i	−0.107409	−	0.0348993i	0.254819	−	0.966989i	$-0.417984\pi$
$929$	−8.00025e10	−	2.59944e10i	−0.107409	−	0.0348993i	−0.362228	+	0.932089i	$0.617984\pi$
$930$	−3.88532e11	−	2.87198e11i	−0.519392	−	0.383928i
$931$	1.23377e11	+	3.79717e11i	0.164224	+	0.505430i
$932$	−1.60234e11	−	1.60234e11i	−0.212369	−	0.212369i
$933$	−1.65500e12	−	8.43265e11i	−2.18410	−	1.11285i
$934$	7.13045e11	−	9.81422e11i	0.936978	−	1.28964i
$935$	4.02371e10	−	2.00866e10i	0.0526478	−	0.0262821i
$936$	1.16611e11	−	8.47232e10i	0.151928	−	0.110382i
$937$	9.06440e10	+	5.72304e11i	0.117593	+	0.742452i	0.974067	+	0.226261i	$0.0726503\pi$
$937$	9.06440e10	+	5.72304e11i	0.117593	+	0.742452i	−0.856474	+	0.516190i	$0.827350\pi$
$938$	−5.63029e9	+	8.91750e8i	−0.00727309	+	0.00115194i
$939$	−3.35561e11	−	4.61861e11i	−0.431628	−	0.594085i
$940$	−1.36706e11	−	2.73847e11i	−0.175096	−	0.350749i
$941$	4.35328e11	+	3.16284e11i	0.555211	+	0.403384i	0.829703	−	0.558205i	$-0.188510\pi$
$941$	4.35328e11	+	3.16284e11i	0.555211	+	0.403384i	−0.274492	+	0.961589i	$0.588510\pi$
$942$	−3.21250e11	+	6.30488e11i	−0.407980	+	0.800706i
$943$	9.93794e11	−	9.93794e11i	1.25675	−	1.25675i
$944$	−1.28411e12	+	4.17233e11i	−1.61702	+	0.525400i
$945$	−2.38348e10	+	3.22446e10i	−0.0298871	+	0.0404324i
$946$	3.65456e11	−	1.12476e12i	0.456321	−	1.40441i
$947$	−7.63477e11	+	3.89011e11i	−0.949284	+	0.483684i	−0.858855	−	0.512218i	$-0.828824\pi$
$947$	−7.63477e11	+	3.89011e11i	−0.949284	+	0.483684i	−0.0904289	+	0.995903i	$0.528824\pi$
$948$	3.54999e10	−	2.24137e11i	0.0439535	−	0.277511i
$949$			6.51385e11i			0.803106i
$950$	−4.48057e11	+	4.33551e11i	−0.550097	+	0.532287i
$951$	5.13487e11			0.627780
$952$	4.42398e8	+	7.00690e7i	0.000538599	+	8.53057e-5i
$953$	−6.85006e11	−	1.34440e12i	−0.830467	−	1.62988i	−0.775459	−	0.631398i	$-0.782481\pi$
$953$	−6.85006e11	−	1.34440e12i	−0.830467	−	1.62988i	−0.0550084	−	0.998486i	$-0.517519\pi$
$954$	1.81347e12	+	5.89232e11i	2.18936	+	0.711366i
$955$	−1.40166e11	+	4.19611e11i	−0.168512	+	0.504468i
$956$	−2.48640e11	−	7.65237e11i	−0.297673	−	0.916145i
$957$	8.41230e11	+	8.41230e11i	1.00292	+	1.00292i
$958$	−7.42008e11	−	3.78072e11i	−0.880940	−	0.448861i
$959$	2.15144e10	−	2.96120e10i	0.0254363	−	0.0350101i
$960$	−1.45255e12	−	2.42326e11i	−1.71020	−	0.285309i
$961$	6.33020e11	−	4.59916e11i	0.742206	−	0.539244i
$962$	5.07313e11	+	3.20305e12i	0.592346	+	3.73993i
$963$	−1.84617e12	+	2.92405e11i	−2.14668	+	0.340001i
$964$	−9.60829e11	−	1.32247e12i	−1.11260	−	1.53136i
$965$	3.66126e11	+	1.90360e11i	0.422203	+	0.219516i
$966$	1.10407e11	+	8.02154e10i	0.126791	+	0.0921191i
$967$	−1.76183e11	+	3.45779e11i	−0.201492	+	0.395451i	−0.969537	−	0.244946i	$-0.921230\pi$
$967$	−1.76183e11	+	3.45779e11i	−0.201492	+	0.395451i	0.768045	+	0.640396i	$0.221230\pi$
$968$	3.16728e10	−	3.16728e10i	0.0360732	−	0.0360732i
$969$	−7.02494e10	+	2.28254e10i	−0.0796796	+	0.0258895i
$970$	−7.31322e11	−	1.02419e12i	−0.826079	−	1.15690i
$971$	2.58211e11	−	7.94692e11i	0.290468	−	0.893968i	−0.694239	−	0.719745i	$-0.744259\pi$
$971$	2.58211e11	−	7.94692e11i	0.290468	−	0.893968i	0.984706	−	0.174223i	$-0.0557413\pi$
$972$	1.03814e12	−	5.28961e11i	1.16304	−	0.592596i
$973$	−9.94269e9	+	6.27757e10i	−0.0110931	+	0.0700390i
$974$		−	7.89750e11i		−	0.877513i
$975$	2.21203e12	+	7.59188e11i	2.44778	+	0.840100i
$976$	1.83381e11			0.202095
$977$	8.54419e11	+	1.35327e11i	0.937762	+	0.148527i	0.606564	−	0.795034i	$-0.292547\pi$
$977$	8.54419e11	+	1.35327e11i	0.937762	+	0.148527i	0.331198	+	0.943561i	$0.392547\pi$
$978$	−9.19160e11	−	1.80395e12i	−1.00470	−	1.97183i
$979$	−7.81742e10	−	2.54003e10i	−0.0851006	−	0.0276509i
$980$	9.67779e11	+	7.96132e9i	1.04923	+	0.00863139i
$981$	9.19659e10	+	2.83042e11i	0.0993004	+	0.305615i
$982$	−4.42370e11	−	4.42370e11i	−0.475707	−	0.475707i
$983$	1.29376e12	+	6.59202e11i	1.38560	+	0.706000i	0.978281	−	0.207285i	$-0.0664627\pi$
$983$	1.29376e12	+	6.59202e11i	1.38560	+	0.706000i	0.407322	+	0.913285i	$0.366463\pi$
$984$	−1.20049e11	+	1.65233e11i	−0.128049	+	0.176245i
$985$	−4.59030e11	−	4.66645e11i	−0.487636	−	0.495726i
$986$	1.68624e11	−	1.22513e11i	0.178407	−	0.129620i
$987$	6.04830e9	+	3.81874e10i	0.00637330	+	0.0402394i
$988$	−8.74641e11	+	1.38529e11i	−0.917914	+	0.145383i
$989$	−9.82881e11	−	1.35282e12i	−1.02734	−	1.41402i
$990$	−1.16833e12	+	1.75206e11i	−1.21626	+	0.182393i
$991$	−1.12797e12	−	8.19519e11i	−1.16951	−	0.849697i	−0.178558	−	0.983929i	$-0.557143\pi$
$991$	−1.12797e12	−	8.19519e11i	−1.16951	−	0.849697i	−0.990950	+	0.134232i	$0.957143\pi$
$992$	−1.80550e11	+	3.54348e11i	−0.186445	+	0.365918i
$993$	1.62652e12	−	1.62652e12i	1.67287	−	1.67287i
$994$	−2.38068e10	+	7.73530e9i	−0.0243868	+	0.00792376i
$995$	−1.10690e12	+	3.49612e11i	−1.12931	+	0.356693i
$996$	−4.67811e11	+	1.43977e12i	−0.475371	+	1.46304i
$997$	−9.08051e11	+	4.62675e11i	−0.919030	+	0.468269i	−0.848473	−	0.529238i	$-0.822478\pi$
$997$	−9.08051e11	+	4.62675e11i	−0.919030	+	0.468269i	−0.0705571	+	0.997508i	$0.522478\pi$
$998$	−3.10575e11	+	1.96089e12i	−0.313072	+	1.97666i
$999$		−	1.14709e12i		−	1.15169i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	25.9.f.a.2.4	✓	152
25.13	odd	20	inner	25.9.f.a.13.4	yes	152

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
25.9.f.a.2.4	✓	152	1.1	even	1	trivial
25.9.f.a.13.4	yes	152	25.13	odd	20	inner

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:	\( N \)	\(=\)	\( 25 = 5^{2} \)
Weight:	\( k \)	\(=\)	\( 9 \)
Character orbit:	\([\chi]\)	\(=\)	25.f (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-22.6508 - 3.58754i) q^{2} +(-57.6629 - 113.170i) q^{3} +(256.720 + 83.4132i) q^{4} +(188.239 + 595.979i) q^{5} +(900.112 + 2770.26i) q^{6} +(118.643 + 118.643i) q^{7} +(-284.659 - 145.041i) q^{8} +(-5625.95 + 7743.46i) q^{9} +O(q^{10})\)	\(q+(-22.6508 - 3.58754i) q^{2} +(-57.6629 - 113.170i) q^{3} +(256.720 + 83.4132i) q^{4} +(188.239 + 595.979i) q^{5} +(900.112 + 2770.26i) q^{6} +(118.643 + 118.643i) q^{7} +(-284.659 - 145.041i) q^{8} +(-5625.95 + 7743.46i) q^{9} +(-2125.68 - 14174.7i) q^{10} +(-6966.76 + 5061.65i) q^{11} +(-5363.34 - 33862.8i) q^{12} +(46556.7 - 7373.85i) q^{13} +(-2261.73 - 3113.01i) q^{14} +(56592.4 - 55668.9i) q^{15} +(-49977.5 - 36310.8i) q^{16} +(-3793.48 + 7445.12i) q^{17} +(155212. - 155212. i) q^{18} +(-66191.4 + 21506.9i) q^{19} +(-1387.80 + 168701. i) q^{20} +(6585.52 - 20268.2i) q^{21} +(175962. - 89657.0i) q^{22} +(43681.7 - 275795. i) q^{23} +40578.4i q^{24} +(-319757. + 224373. i) q^{25} -1.08100e6 q^{26} +(377659. + 59815.3i) q^{27} +(20561.6 + 40354.5i) q^{28} +(1.03446e6 + 336116. i) q^{29} +(-1.48158e6 + 1.05792e6i) q^{30} +(82011.7 + 252406. i) q^{31} +(1.05960e6 + 1.05960e6i) q^{32} +(974550. + 496558. i) q^{33} +(112635. - 155029. i) q^{34} +(-48375.5 + 93042.2i) q^{35} +(-2.09020e6 + 1.51862e6i) q^{36} +(-469299. - 2.96304e6i) q^{37} +(1.57645e6 - 249685. i) q^{38} +(-3.51909e6 - 4.84361e6i) q^{39} +(32857.4 - 196953. i) q^{40} +(4.07195e6 + 2.95844e6i) q^{41} +(-221880. + 435465. i) q^{42} +(4.23448e6 - 4.23448e6i) q^{43} +(-2.21071e6 + 718304. i) q^{44} +(-5.67396e6 - 1.89532e6i) q^{45} +(-1.97885e6 + 6.09029e6i) q^{46} +(-1.61649e6 + 823644. i) q^{47} +(-1.22744e6 + 7.74974e6i) q^{48} -5.73665e6i q^{49} +(8.04771e6 - 3.93511e6i) q^{50} +1.06131e6 q^{51} +(1.25671e7 + 1.99043e6i) q^{52} +(3.94375e6 + 7.74005e6i) q^{53} +(-8.33970e6 - 2.70973e6i) q^{54} +(-4.32805e6 - 3.19924e6i) q^{55} +(-16564.8 - 50981.1i) q^{56} +(6.25072e6 + 6.25072e6i) q^{57} +(-2.22255e7 - 1.13245e7i) q^{58} +(1.28469e7 - 1.76822e7i) q^{59} +(1.91719e7 - 9.57075e6i) q^{60} +(-2.40157e6 + 1.74484e6i) q^{61} +(-952116. - 6.01143e6i) q^{62} +(-1.58619e6 + 251228. i) q^{63} +(-1.09039e7 - 1.50079e7i) q^{64} +(1.31585e7 + 2.63587e7i) q^{65} +(-2.02930e7 - 1.47437e7i) q^{66} +(672566. - 1.31999e6i) q^{67} +(-1.59488e6 + 1.59488e6i) q^{68} +(-3.37305e7 + 1.09597e7i) q^{69} +(1.42954e6 - 1.93393e6i) q^{70} +(2.01027e6 - 6.18698e6i) q^{71} +(2.72460e6 - 1.38825e6i) q^{72} +(-2.16176e6 + 1.36488e7i) q^{73} +6.87989e7i q^{74} +(4.38304e7 + 2.32488e7i) q^{75} -1.87866e7 q^{76} +(-1.42709e6 - 226029. i) q^{77} +(6.23337e7 + 1.22337e8i) q^{78} +(6.29503e6 + 2.04538e6i) q^{79} +(1.22327e7 - 3.66207e7i) q^{80} +(4.39809e6 + 1.35359e7i) q^{81} +(-8.16195e7 - 8.16195e7i) q^{82} +(-3.93429e7 - 2.00462e7i) q^{83} +(3.38127e6 - 4.65391e6i) q^{84} +(-5.15122e6 - 859368. i) q^{85} +(-1.11106e8 + 8.07232e7i) q^{86} +(-2.16117e7 - 1.36451e8i) q^{87} +(2.71730e6 - 430378. i) q^{88} +(5.61051e6 + 7.72221e6i) q^{89} +(1.21720e8 + 6.32863e7i) q^{90} +(6.39849e6 + 4.64877e6i) q^{91} +(3.42189e7 - 6.71584e7i) q^{92} +(2.38357e7 - 2.38357e7i) q^{93} +(3.95697e7 - 1.28570e7i) q^{94} +(-2.52775e7 - 3.54002e7i) q^{95} +(5.88151e7 - 1.81014e8i) q^{96} +(7.82324e7 - 3.98614e7i) q^{97} +(-2.05805e7 + 1.29940e8i) q^{98} -8.24234e7i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 152 q - 8 q^{2} + 62 q^{3} - 10 q^{4} - 230 q^{5} - 6 q^{6} + 2342 q^{7} + 8210 q^{8} - 10 q^{9}+O(q^{10}) \) 152 * q - 8 * q^2 + 62 * q^3 - 10 * q^4 - 230 * q^5 - 6 * q^6 + 2342 * q^7 + 8210 * q^8 - 10 * q^9	\( 152 q - 8 q^{2} + 62 q^{3} - 10 q^{4} - 230 q^{5} - 6 q^{6} + 2342 q^{7} + 8210 q^{8} - 10 q^{9} - 30880 q^{10} - 6 q^{11} + 45902 q^{12} + 119132 q^{13} - 10 q^{14} - 241450 q^{15} + 524282 q^{16} - 105158 q^{17} + 454052 q^{18} + 718890 q^{19} + 340370 q^{20} - 6 q^{21} - 1986746 q^{22} - 899198 q^{23} + 2032310 q^{25} - 913936 q^{26} + 1904300 q^{27} - 998002 q^{28} - 1956910 q^{29} - 4500490 q^{30} - 6 q^{31} - 3033938 q^{32} + 1003994 q^{33} + 10303990 q^{34} + 4124560 q^{35} - 8100358 q^{36} + 9534392 q^{37} - 14259280 q^{38} - 22510410 q^{39} - 4123060 q^{40} - 4374726 q^{41} + 52199634 q^{42} + 13583342 q^{43} - 2138860 q^{44} - 33978380 q^{45} - 6 q^{46} - 11197058 q^{47} - 32869688 q^{48} + 13239250 q^{50} - 16 q^{51} + 93509212 q^{52} + 53717512 q^{53} + 57025140 q^{54} - 14642290 q^{55} - 262150 q^{56} - 93310490 q^{57} - 97437640 q^{58} + 24222740 q^{59} - 66375070 q^{60} - 18369126 q^{61} + 6782124 q^{62} + 96012652 q^{63} + 112817140 q^{64} + 89469970 q^{65} + 6718458 q^{66} + 74549142 q^{67} - 62262702 q^{68} - 128418860 q^{69} - 177099410 q^{70} + 60703854 q^{71} - 444425220 q^{72} - 171988248 q^{73} + 257329110 q^{75} - 262160 q^{76} + 292751454 q^{77} + 385000804 q^{78} + 138506190 q^{79} + 245270230 q^{80} + 110809772 q^{81} - 73650066 q^{82} - 663197528 q^{83} - 1517250010 q^{84} - 616093620 q^{85} - 6 q^{86} + 494144820 q^{87} + 1287340030 q^{88} + 1051406240 q^{89} + 1480613390 q^{90} - 6 q^{91} - 461835158 q^{92} - 908140736 q^{93} - 1160168810 q^{94} - 920404690 q^{95} + 172437534 q^{96} - 732746208 q^{97} - 167741852 q^{98}+O(q^{100}) \) 152 * q - 8 * q^2 + 62 * q^3 - 10 * q^4 - 230 * q^5 - 6 * q^6 + 2342 * q^7 + 8210 * q^8 - 10 * q^9 - 30880 * q^10 - 6 * q^11 + 45902 * q^12 + 119132 * q^13 - 10 * q^14 - 241450 * q^15 + 524282 * q^16 - 105158 * q^17 + 454052 * q^18 + 718890 * q^19 + 340370 * q^20 - 6 * q^21 - 1986746 * q^22 - 899198 * q^23 + 2032310 * q^25 - 913936 * q^26 + 1904300 * q^27 - 998002 * q^28 - 1956910 * q^29 - 4500490 * q^30 - 6 * q^31 - 3033938 * q^32 + 1003994 * q^33 + 10303990 * q^34 + 4124560 * q^35 - 8100358 * q^36 + 9534392 * q^37 - 14259280 * q^38 - 22510410 * q^39 - 4123060 * q^40 - 4374726 * q^41 + 52199634 * q^42 + 13583342 * q^43 - 2138860 * q^44 - 33978380 * q^45 - 6 * q^46 - 11197058 * q^47 - 32869688 * q^48 + 13239250 * q^50 - 16 * q^51 + 93509212 * q^52 + 53717512 * q^53 + 57025140 * q^54 - 14642290 * q^55 - 262150 * q^56 - 93310490 * q^57 - 97437640 * q^58 + 24222740 * q^59 - 66375070 * q^60 - 18369126 * q^61 + 6782124 * q^62 + 96012652 * q^63 + 112817140 * q^64 + 89469970 * q^65 + 6718458 * q^66 + 74549142 * q^67 - 62262702 * q^68 - 128418860 * q^69 - 177099410 * q^70 + 60703854 * q^71 - 444425220 * q^72 - 171988248 * q^73 + 257329110 * q^75 - 262160 * q^76 + 292751454 * q^77 + 385000804 * q^78 + 138506190 * q^79 + 245270230 * q^80 + 110809772 * q^81 - 73650066 * q^82 - 663197528 * q^83 - 1517250010 * q^84 - 616093620 * q^85 - 6 * q^86 + 494144820 * q^87 + 1287340030 * q^88 + 1051406240 * q^89 + 1480613390 * q^90 - 6 * q^91 - 461835158 * q^92 - 908140736 * q^93 - 1160168810 * q^94 - 920404690 * q^95 + 172437534 * q^96 - 732746208 * q^97 - 167741852 * q^98

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