LMFDB - Embedded newform 32.9.h.a.11.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [32,9,Mod(3,32)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(32, base_ring=CyclotomicField(8))

chi = DirichletCharacter(H, H._module([4, 3]))

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

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

chi := DirichletCharacter("32.3");

S:= CuspForms(chi, 9);

N := Newforms(S);

Level:	$ N $	$=$	$ 32 = 2^{5} $
Weight:	$ k $	$=$	$ 9 $
Character orbit:	$[\chi]$	$=$	32.h (of order $8$, degree $4$, 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:	$13.0361155220$
Analytic rank:	$0$
Dimension:	$124$
Relative dimension:	$31$ over $\Q(\zeta_{8})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label			11.10
Character	$\chi$	$=$	32.11
Dual form			32.9.h.a.3.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-9.92708 + 12.5480i) q^{2} +(-30.2081 - 72.9287i) q^{3} +(-58.9063 - 249.131i) q^{4} +(-471.505 + 1138.31i) q^{5} +(1214.99 + 344.917i) q^{6} +(-1542.51 + 1542.51i) q^{7} +(3710.87 + 1733.98i) q^{8} +(233.258 - 233.258i) q^{9} +O(q^{10})$	\(q+(-9.92708 + 12.5480i) q^{2} +(-30.2081 - 72.9287i) q^{3} +(-58.9063 - 249.131i) q^{4} +(-471.505 + 1138.31i) q^{5} +(1214.99 + 344.917i) q^{6} +(-1542.51 + 1542.51i) q^{7} +(3710.87 + 1733.98i) q^{8} +(233.258 - 233.258i) q^{9} +(-9602.93 - 17216.6i) q^{10} +(-1169.04 + 2822.32i) q^{11} +(-16389.3 + 11821.7i) q^{12} +(-16543.4 - 39939.3i) q^{13} +(-4042.85 - 34668.1i) q^{14} +97259.0 q^{15} +(-58596.1 + 29350.7i) q^{16} -25990.7i q^{17} +(611.360 + 5242.51i) q^{18} +(187523. - 77674.6i) q^{19} +(311363. + 50412.4i) q^{20} +(159089. + 65897.0i) q^{21} +(-23809.4 - 42686.6i) q^{22} +(133408. + 133408. i) q^{23} +(14358.8 - 323009. i) q^{24} +(-797227. - 797227. i) q^{25} +(665387. + 188893. i) q^{26} +(-502543. - 208160. i) q^{27} +(475150. + 293423. i) q^{28} +(340708. - 141126. i) q^{29} +(-965497. + 1.22041e6i) q^{30} +606685. i q^{31} +(213394. - 1.02663e6i) q^{32} +241143. q^{33} +(326132. + 258012. i) q^{34} +(-1.02856e6 - 2.48316e6i) q^{35} +(-71852.2 - 44371.4i) q^{36} +(624867. - 1.50856e6i) q^{37} +(-886893. + 3.12413e6i) q^{38} +(-2.41298e6 + 2.41298e6i) q^{39} +(-3.72350e6 + 3.40655e6i) q^{40} +(1.59417e6 - 1.59417e6i) q^{41} +(-2.40617e6 + 1.34209e6i) q^{42} +(285911. - 690251. i) q^{43} +(771990. + 124992. i) q^{44} +(155539. + 375504. i) q^{45} +(-2.99835e6 + 349656. i) q^{46} +5.87633e6 q^{47} +(3.91058e6 + 3.38671e6i) q^{48} +1.00613e6i q^{49} +(1.79178e7 - 2.08950e6i) q^{50} +(-1.89547e6 + 785129. i) q^{51} +(-8.97559e6 + 6.47414e6i) q^{52} +(-4.57728e6 - 1.89597e6i) q^{53} +(7.60078e6 - 4.23950e6i) q^{54} +(-2.66148e6 - 2.66148e6i) q^{55} +(-8.39873e6 + 3.04937e6i) q^{56} +(-1.13294e7 - 1.13294e7i) q^{57} +(-1.61138e6 + 5.67619e6i) q^{58} +(-2.76286e6 - 1.14441e6i) q^{59} +(-5.72917e6 - 2.42302e7i) q^{60} +(-8.34951e6 + 3.45848e6i) q^{61} +(-7.61270e6 - 6.02261e6i) q^{62} +719606. i q^{63} +(1.07638e7 + 1.28691e7i) q^{64} +5.32637e7 q^{65} +(-2.39384e6 + 3.02587e6i) q^{66} +(-7.75722e6 - 1.87276e7i) q^{67} +(-6.47508e6 + 1.53102e6i) q^{68} +(5.69926e6 - 1.37592e7i) q^{69} +(4.13694e7 + 1.17441e7i) q^{70} +(-1.55133e7 + 1.55133e7i) q^{71} +(1.27006e6 - 461125. i) q^{72} +(2.15271e7 - 2.15271e7i) q^{73} +(1.27264e7 + 2.28165e7i) q^{74} +(-3.40581e7 + 8.22234e7i) q^{75} +(-3.03974e7 - 4.21422e7i) q^{76} +(-2.55019e6 - 6.15671e6i) q^{77} +(-6.32431e6 - 5.42319e7i) q^{78} +5.18565e7 q^{79} +(-5.78199e6 - 8.05397e7i) q^{80} +4.07736e7i q^{81} +(4.17825e6 + 3.58291e7i) q^{82} +(-5.68763e7 + 2.35589e7i) q^{83} +(7.04559e6 - 4.35158e7i) q^{84} +(2.95856e7 + 1.22547e7i) q^{85} +(5.82303e6 + 1.04398e7i) q^{86} +(-2.05843e7 - 2.05843e7i) q^{87} +(-9.23201e6 + 8.44615e6i) q^{88} +(-4.45160e7 - 4.45160e7i) q^{89} +(-6.25588e6 - 1.77595e6i) q^{90} +(8.71251e7 + 3.60884e7i) q^{91} +(2.53774e7 - 4.10945e7i) q^{92} +(4.42447e7 - 1.83268e7i) q^{93} +(-5.83348e7 + 7.37364e7i) q^{94} +2.50084e8i q^{95} +(-8.13172e7 + 1.54500e7i) q^{96} -7.55667e7 q^{97} +(-1.26250e7 - 9.98794e6i) q^{98} +(385641. + 931019. i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 124 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 4 q^{6} - 4 q^{7} - 4 q^{8} - 4 q^{9}+O(q^{10}) $ 124 * q - 4 * q^2 - 4 * q^3 - 4 * q^4 - 4 * q^5 - 4 * q^6 - 4 * q^7 - 4 * q^8 - 4 * q^9	\( 124 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 4 q^{6} - 4 q^{7} - 4 q^{8} - 4 q^{9} + 34996 q^{10} - 4 q^{11} - 45364 q^{12} - 4 q^{13} + 145580 q^{14} - 8 q^{15} - 278384 q^{16} - 131224 q^{18} - 4 q^{19} + 689996 q^{20} - 4 q^{21} + 6048 q^{22} + 845564 q^{23} - 310832 q^{24} - 4 q^{25} + 1682096 q^{26} - 51076 q^{27} - 1807624 q^{28} - 4 q^{29} - 3968188 q^{30} + 2420456 q^{32} - 8 q^{33} + 4139280 q^{34} - 2415748 q^{35} - 2364816 q^{36} - 4 q^{37} - 4553644 q^{38} + 7650044 q^{39} - 14971800 q^{40} - 4 q^{41} + 17019656 q^{42} - 1859716 q^{43} + 13377860 q^{44} - 26248 q^{45} + 11790684 q^{46} - 8 q^{47} - 21819984 q^{48} - 49149676 q^{50} - 27697792 q^{51} - 33503196 q^{52} - 5358724 q^{53} + 82403296 q^{54} + 46326780 q^{55} + 87708200 q^{56} - 4 q^{57} - 37235424 q^{58} - 44938756 q^{59} - 167711176 q^{60} + 48952060 q^{61} + 23721528 q^{62} + 27135128 q^{64} - 8 q^{65} + 226680332 q^{66} + 93380476 q^{67} - 491760 q^{68} - 17273092 q^{69} - 167238952 q^{70} - 79832068 q^{71} - 184202092 q^{72} - 4 q^{73} + 28015148 q^{74} - 27399560 q^{75} + 201789948 q^{76} - 94964356 q^{77} + 473461108 q^{78} + 144406520 q^{79} - 447998920 q^{80} - 231632004 q^{82} - 140384644 q^{83} + 263072 q^{84} + 1562496 q^{85} + 268005440 q^{86} - 149712644 q^{87} + 220344096 q^{88} - 4 q^{89} + 51924392 q^{90} + 350400764 q^{91} - 622977496 q^{92} + 26240 q^{93} - 100742552 q^{94} + 101686144 q^{96} - 8 q^{97} + 721239576 q^{98} - 630043272 q^{99}+O(q^{100}) \) 124 * q - 4 * q^2 - 4 * q^3 - 4 * q^4 - 4 * q^5 - 4 * q^6 - 4 * q^7 - 4 * q^8 - 4 * q^9 + 34996 * q^10 - 4 * q^11 - 45364 * q^12 - 4 * q^13 + 145580 * q^14 - 8 * q^15 - 278384 * q^16 - 131224 * q^18 - 4 * q^19 + 689996 * q^20 - 4 * q^21 + 6048 * q^22 + 845564 * q^23 - 310832 * q^24 - 4 * q^25 + 1682096 * q^26 - 51076 * q^27 - 1807624 * q^28 - 4 * q^29 - 3968188 * q^30 + 2420456 * q^32 - 8 * q^33 + 4139280 * q^34 - 2415748 * q^35 - 2364816 * q^36 - 4 * q^37 - 4553644 * q^38 + 7650044 * q^39 - 14971800 * q^40 - 4 * q^41 + 17019656 * q^42 - 1859716 * q^43 + 13377860 * q^44 - 26248 * q^45 + 11790684 * q^46 - 8 * q^47 - 21819984 * q^48 - 49149676 * q^50 - 27697792 * q^51 - 33503196 * q^52 - 5358724 * q^53 + 82403296 * q^54 + 46326780 * q^55 + 87708200 * q^56 - 4 * q^57 - 37235424 * q^58 - 44938756 * q^59 - 167711176 * q^60 + 48952060 * q^61 + 23721528 * q^62 + 27135128 * q^64 - 8 * q^65 + 226680332 * q^66 + 93380476 * q^67 - 491760 * q^68 - 17273092 * q^69 - 167238952 * q^70 - 79832068 * q^71 - 184202092 * q^72 - 4 * q^73 + 28015148 * q^74 - 27399560 * q^75 + 201789948 * q^76 - 94964356 * q^77 + 473461108 * q^78 + 144406520 * q^79 - 447998920 * q^80 - 231632004 * q^82 - 140384644 * q^83 + 263072 * q^84 + 1562496 * q^85 + 268005440 * q^86 - 149712644 * q^87 + 220344096 * q^88 - 4 * q^89 + 51924392 * q^90 + 350400764 * q^91 - 622977496 * q^92 + 26240 * q^93 - 100742552 * q^94 + 101686144 * q^96 - 8 * q^97 + 721239576 * q^98 - 630043272 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/32\mathbb{Z}\right)^\times$.

$n$	$5$	$31$
$\chi(n)$	$e\left(\frac{5}{8}\right)$	$-1$

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 $

$2$	−9.92708	+	12.5480i	−0.620442	+	0.784252i
$2$	−9.92708	+	12.5480i	−0.620442	+	0.784252i
$3$	−30.2081	−	72.9287i	−0.372939	−	0.900354i	−0.993249	−	0.115998i	$-0.962993\pi$
$3$	−30.2081	−	72.9287i	−0.372939	−	0.900354i	0.620310	−	0.784356i	$-0.287007\pi$
$4$	−58.9063	−	249.131i	−0.230103	−	0.973166i
$5$	−471.505	+	1138.31i	−0.754408	+	1.82130i	−0.221420	+	0.975178i	$0.571069\pi$
$5$	−471.505	+	1138.31i	−0.754408	+	1.82130i	−0.532987	+	0.846123i	$0.678931\pi$
$6$	1214.99	+	344.917i	0.937492	+	0.266140i
$7$	−1542.51	+	1542.51i	−0.642445	+	0.642445i	−0.951156	−	0.308711i	$-0.900102\pi$
$7$	−1542.51	+	1542.51i	−0.642445	+	0.642445i	0.308711	+	0.951156i	$0.400102\pi$
$8$	3710.87	+	1733.98i	0.905973	+	0.423335i
$9$	233.258	−	233.258i	0.0355523	−	0.0355523i
$10$	−9602.93	−	17216.6i	−0.960293	−	1.72166i
$11$	−1169.04	+	2822.32i	−0.0798472	+	0.192768i	−0.958762	−	0.284211i	$-0.908268\pi$
$11$	−1169.04	+	2822.32i	−0.0798472	+	0.192768i	0.878915	+	0.476979i	$0.158268\pi$
$12$	−16389.3	+	11821.7i	−0.790380	+	0.570106i
$13$	−16543.4	−	39939.3i	−0.579230	−	1.39839i	−0.893505	−	0.449053i	$-0.851761\pi$
$13$	−16543.4	−	39939.3i	−0.579230	−	1.39839i	0.314275	−	0.949332i	$-0.398239\pi$
$14$	−4042.85	−	34668.1i	−0.105239	−	0.902438i
$15$	97259.0			1.92117
$16$	−58596.1	+	29350.7i	−0.894105	+	0.447857i
$17$		−	25990.7i		−	0.311188i	−0.987821	−	0.155594i	$-0.950271\pi$
$17$		−	25990.7i		−	0.311188i	0.987821	−	0.155594i	$-0.0497291\pi$
$18$	611.360	+	5242.51i	0.00582381	+	0.0499401i
$19$	187523.	−	77674.6i	1.43893	−	0.596026i	0.479394	−	0.877600i	$-0.340857\pi$
$19$	187523.	−	77674.6i	1.43893	−	0.596026i	0.959539	+	0.281574i	$0.0908566\pi$
$20$	311363.	+	50412.4i	1.94602	+	0.315078i
$21$	159089.	+	65897.0i	0.818020	+	0.338835i
$22$	−23809.4	−	42686.6i	−0.101638	−	0.182222i
$23$	133408.	+	133408.i	0.476727	+	0.476727i	0.904083	−	0.427357i	$-0.140555\pi$
$23$	133408.	+	133408.i	0.476727	+	0.476727i	−0.427357	+	0.904083i	$0.640555\pi$
$24$	14358.8	−	323009.i	0.0432787	−	0.973575i
$25$	−797227.	−	797227.i	−2.04090	−	2.04090i
$26$	665387.	+	188893.i	1.45607	+	0.413355i
$27$	−502543.	−	208160.i	−0.945623	−	0.391690i
$28$	475150.	+	293423.i	0.773034	+	0.477377i
$29$	340708.	−	141126.i	0.481716	−	0.199533i	−0.128592	−	0.991698i	$-0.541046\pi$
$29$	340708.	−	141126.i	0.481716	−	0.199533i	0.610308	+	0.792164i	$0.291046\pi$
$30$	−965497.	+	1.22041e6i	−1.19197	+	1.50668i
$31$			606685.i			0.656926i	0.944517	+	0.328463i	$0.106531\pi$
$31$			606685.i			0.656926i	−0.944517	+	0.328463i	$0.893469\pi$
$32$	213394.	−	1.02663e6i	0.203508	−	0.979073i
$33$	241143.			0.203338
$34$	326132.	+	258012.i	0.244050	+	0.193074i
$35$	−1.02856e6	−	2.48316e6i	−0.685420	−	1.65475i
$36$	−71852.2	−	44371.4i	−0.0427789	−	0.0264176i
$37$	624867.	−	1.50856e6i	0.333412	−	0.804927i	−0.664905	−	0.746928i	$-0.731528\pi$
$37$	624867.	−	1.50856e6i	0.333412	−	0.804927i	0.998317	−	0.0579988i	$-0.0184720\pi$
$38$	−886893.	+	3.12413e6i	−0.425341	+	1.49829i
$39$	−2.41298e6	+	2.41298e6i	−1.04302	+	1.04302i
$40$	−3.72350e6	+	3.40655e6i	−1.45449	+	1.33068i
$41$	1.59417e6	−	1.59417e6i	0.564155	−	0.564155i	−0.366330	−	0.930485i	$-0.619386\pi$
$41$	1.59417e6	−	1.59417e6i	0.564155	−	0.564155i	0.930485	+	0.366330i	$0.119386\pi$
$42$	−2.40617e6	+	1.34209e6i	−0.773267	+	0.431307i
$43$	285911.	−	690251.i	0.0836291	−	0.201899i	−0.876533	−	0.481341i	$-0.840150\pi$
$43$	285911.	−	690251.i	0.0836291	−	0.201899i	0.960162	+	0.279443i	$0.0901497\pi$
$44$	771990.	+	124992.i	0.205969	+	0.0333481i
$45$	155539.	+	375504.i	0.0379305	+	0.0915723i
$46$	−2.99835e6	+	349656.i	−0.669655	+	0.0780925i
$47$	5.87633e6			1.20424			0.602122	−	0.798404i	$-0.294322\pi$
$47$	5.87633e6			1.20424			0.602122	+	0.798404i	$0.294322\pi$
$48$	3.91058e6	+	3.38671e6i	0.736676	+	0.637989i
$49$			1.00613e6i			0.174530i
$50$	1.79178e7	−	2.08950e6i	2.86684	−	0.334320i
$51$	−1.89547e6	+	785129.i	−0.280179	+	0.116054i
$52$	−8.97559e6	+	6.47414e6i	−1.22758	+	0.885460i
$53$	−4.57728e6	−	1.89597e6i	−0.580102	−	0.240286i	0.0732841	−	0.997311i	$-0.476652\pi$
$53$	−4.57728e6	−	1.89597e6i	−0.580102	−	0.240286i	−0.653386	+	0.757025i	$0.726652\pi$
$54$	7.60078e6	−	4.23950e6i	0.893888	−	0.498586i
$55$	−2.66148e6	−	2.66148e6i	−0.290852	−	0.290852i
$56$	−8.39873e6	+	3.04937e6i	−0.854007	+	0.310068i
$57$	−1.13294e7	−	1.13294e7i	−1.07327	−	1.07327i
$58$	−1.61138e6	+	5.67619e6i	−0.142392	+	0.501585i
$59$	−2.76286e6	−	1.14441e6i	−0.228008	−	0.0944441i	0.265755	−	0.964041i	$-0.414379\pi$
$59$	−2.76286e6	−	1.14441e6i	−0.228008	−	0.0944441i	−0.493763	+	0.869597i	$0.664379\pi$
$60$	−5.72917e6	−	2.42302e7i	−0.442065	−	1.86961i
$61$	−8.34951e6	+	3.45848e6i	−0.603034	+	0.249785i	−0.663247	−	0.748401i	$-0.730822\pi$
$61$	−8.34951e6	+	3.45848e6i	−0.603034	+	0.249785i	0.0602130	+	0.998186i	$0.480822\pi$
$62$	−7.61270e6	−	6.02261e6i	−0.515196	−	0.407585i
$63$			719606.i			0.0456807i
$64$	1.07638e7	+	1.28691e7i	0.641575	+	0.767060i
$65$	5.32637e7			2.98386
$66$	−2.39384e6	+	3.02587e6i	−0.126159	+	0.159468i
$67$	−7.75722e6	−	1.87276e7i	−0.384952	−	0.929357i	−0.990992	−	0.133922i	$-0.957243\pi$
$67$	−7.75722e6	−	1.87276e7i	−0.384952	−	0.929357i	0.606040	−	0.795434i	$-0.292757\pi$
$68$	−6.47508e6	+	1.53102e6i	−0.302837	+	0.0716052i
$69$	5.69926e6	−	1.37592e7i	0.251433	−	0.607013i
$70$	4.13694e7	+	1.17441e7i	1.72301	+	0.489135i
$71$	−1.55133e7	+	1.55133e7i	−0.610478	+	0.610478i	−0.943071	−	0.332592i	$-0.892077\pi$
$71$	−1.55133e7	+	1.55133e7i	−0.610478	+	0.610478i	0.332592	+	0.943071i	$0.392077\pi$
$72$	1.27006e6	−	461125.i	0.0472599	−	0.0171589i
$73$	2.15271e7	−	2.15271e7i	0.758042	−	0.758042i	−0.217924	−	0.975966i	$-0.569928\pi$
$73$	2.15271e7	−	2.15271e7i	0.758042	−	0.758042i	0.975966	+	0.217924i	$0.0699285\pi$
$74$	1.27264e7	+	2.28165e7i	0.424403	+	0.760889i
$75$	−3.40581e7	+	8.22234e7i	−1.07640	+	2.59867i
$76$	−3.03974e7	−	4.21422e7i	−0.911134	−	1.26317i
$77$	−2.55019e6	−	6.15671e6i	−0.0725455	−	0.175140i
$78$	−6.32431e6	−	5.42319e7i	−0.170858	−	1.46513i
$79$	5.18565e7			1.33136			0.665679	−	0.746239i	$-0.268142\pi$
$79$	5.18565e7			1.33136			0.665679	+	0.746239i	$0.268142\pi$
$80$	−5.78199e6	−	8.05397e7i	−0.141162	−	1.96630i
$81$			4.07736e7i			0.947194i
$82$	4.17825e6	+	3.58291e7i	0.0924142	+	0.792466i
$83$	−5.68763e7	+	2.35589e7i	−1.19845	+	0.496413i	−0.890497	−	0.454989i	$-0.849643\pi$
$83$	−5.68763e7	+	2.35589e7i	−1.19845	+	0.496413i	−0.307950	+	0.951402i	$0.599643\pi$
$84$	7.04559e6	−	4.35158e7i	0.141514	−	0.874037i
$85$	2.95856e7	+	1.22547e7i	0.566767	+	0.234762i
$86$	5.82303e6	+	1.04398e7i	0.106452	+	0.190853i
$87$	−2.05843e7	−	2.05843e7i	−0.359301	−	0.359301i
$88$	−9.23201e6	+	8.44615e6i	−0.153945	+	0.140841i
$89$	−4.45160e7	−	4.45160e7i	−0.709505	−	0.709505i	0.256926	−	0.966431i	$-0.417290\pi$
$89$	−4.45160e7	−	4.45160e7i	−0.709505	−	0.709505i	−0.966431	+	0.256926i	$0.917290\pi$
$90$	−6.25588e6	−	1.77595e6i	−0.0953494	−	0.0270683i
$91$	8.71251e7	+	3.60884e7i	1.27051	+	0.526262i
$92$	2.53774e7	−	4.10945e7i	0.354238	−	0.573630i
$93$	4.42447e7	−	1.83268e7i	0.591466	−	0.244993i
$94$	−5.83348e7	+	7.37364e7i	−0.747164	+	0.944431i
$95$			2.50084e8i			3.07038i
$96$	−8.13172e7	+	1.54500e7i	−0.957409	+	0.181905i
$97$	−7.55667e7			−0.853579			−0.426789	−	0.904351i	$-0.640355\pi$
$97$	−7.55667e7			−0.853579			−0.426789	+	0.904351i	$0.640355\pi$
$98$	−1.26250e7	−	9.98794e6i	−0.136876	−	0.108286i
$99$	385641.	+	931019.i	0.00401460	+	0.00969210i
$100$	−1.51652e8	+	2.45575e8i	−1.51652	+	2.45575i
$101$	4.58113e7	−	1.10598e8i	0.440237	−	1.06283i	−0.535628	−	0.844454i	$-0.679925\pi$
$101$	4.58113e7	−	1.10598e8i	0.440237	−	1.06283i	0.975865	−	0.218373i	$-0.0700748\pi$
$102$	8.96464e6	−	3.15784e7i	0.0828194	−	0.291736i
$103$	2.29402e6	−	2.29402e6i	0.0203821	−	0.0203821i	−0.696842	−	0.717224i	$-0.745412\pi$
$103$	2.29402e6	−	2.29402e6i	0.0203821	−	0.0203821i	0.717224	+	0.696842i	$0.245412\pi$
$104$	7.86359e6	−	1.76895e8i	0.0672183	−	1.51211i
$105$	−1.50023e8	+	1.50023e8i	−1.23424	+	1.23424i
$106$	6.92297e7	−	3.86144e7i	0.548364	−	0.305862i
$107$	8.32554e7	−	2.00996e8i	0.635151	−	1.53339i	−0.197916	−	0.980219i	$-0.563417\pi$
$107$	8.32554e7	−	2.00996e8i	0.635151	−	1.53339i	0.833067	−	0.553172i	$-0.186583\pi$
$108$	−2.22561e7	+	1.37461e8i	−0.163589	+	1.01038i
$109$	−5.98618e7	−	1.44519e8i	−0.424076	−	1.02381i	−0.981133	−	0.193336i	$-0.938069\pi$
$109$	−5.98618e7	−	1.44519e8i	−0.424076	−	1.02381i	0.557056	−	0.830475i	$-0.311931\pi$
$110$	5.98170e7	−	6.97561e6i	0.408558	−	0.0476444i
$111$	−1.28893e8			−0.849061
$112$	4.51112e7	−	1.35659e8i	0.286690	−	0.862136i
$113$		−	2.83587e7i		−	0.173929i	−0.996211	−	0.0869646i	$-0.972283\pi$
$113$		−	2.83587e7i		−	0.173929i	0.996211	−	0.0869646i	$-0.0277167\pi$
$114$	2.54630e8	−	2.96939e7i	1.50761	−	0.175812i
$115$	−2.14762e8	+	8.89574e7i	−1.22791	+	0.508617i
$116$	−5.52287e7	−	7.65677e7i	−0.305023	−	0.422876i
$117$	−1.31751e7	−	5.45729e6i	−0.0703087	−	0.0291228i
$118$	4.17872e7	−	2.33078e7i	0.215534	−	0.120219i
$119$	4.00909e7	+	4.00909e7i	0.199921	+	0.199921i
$120$	3.60915e8	+	1.68645e8i	1.74052	+	0.813296i
$121$	1.44976e8	+	1.44976e8i	0.676323	+	0.676323i
$122$	3.94891e7	−	1.39103e8i	0.178253	−	0.627908i
$123$	−1.64417e8	−	6.81039e7i	−0.718335	−	0.297544i
$124$	1.51144e8	−	3.57376e7i	0.639298	−	0.151161i
$125$	8.38737e8	−	3.47416e8i	3.43547	−	1.42302i
$126$	−9.02965e6	−	7.14359e6i	−0.0358252	−	0.0283422i
$127$		−	2.86092e8i		−	1.09974i	−0.835250	−	0.549871i	$-0.814677\pi$
$127$		−	2.86092e8i		−	1.09974i	0.835250	−	0.549871i	$-0.185323\pi$
$128$	−2.68336e8	+	7.31219e6i	−0.999629	+	0.0272400i
$129$	−5.89759e7			−0.212969
$130$	−5.28753e8	+	6.68355e8i	−1.85131	+	2.34010i
$131$	−5.56932e7	−	1.34455e8i	−0.189111	−	0.456555i	0.800678	−	0.599095i	$-0.204473\pi$
$131$	−5.56932e7	−	1.34455e8i	−0.189111	−	0.456555i	−0.989789	+	0.142540i	$0.954473\pi$
$132$	−1.42048e7	−	6.00760e7i	−0.0467886	−	0.197882i
$133$	−1.69442e8	+	4.09070e8i	−0.541521	+	1.30735i
$134$	3.12001e8	+	8.85723e7i	0.967691	+	0.274713i
$135$	4.73903e8	−	4.73903e8i	1.42677	−	1.42677i
$136$	4.50674e7	−	9.64480e7i	0.131737	−	0.281928i
$137$	5.35454e7	−	5.35454e7i	0.151999	−	0.151999i	−0.627011	−	0.779010i	$-0.715722\pi$
$137$	5.35454e7	−	5.35454e7i	0.151999	−	0.151999i	0.779010	+	0.627011i	$0.215722\pi$
$138$	1.16074e8	+	2.08103e8i	0.320051	+	0.573803i
$139$	2.54686e7	−	6.14865e7i	0.0682252	−	0.164710i	−0.886089	−	0.463515i	$-0.846588\pi$
$139$	2.54686e7	−	6.14865e7i	0.0682252	−	0.164710i	0.954314	+	0.298805i	$0.0965880\pi$
$140$	−5.58042e8	+	4.02519e8i	−1.45263	+	1.04779i
$141$	−1.77512e8	−	4.28553e8i	−0.449110	−	1.08425i
$142$	−4.06597e7	−	3.48663e8i	−0.100002	−	0.857536i
$143$	1.32061e8			0.315814
$144$	−6.82173e6	+	2.05143e7i	−0.0158652	+	0.0477098i
$145$			4.54375e8i			1.02788i
$146$	5.64215e7	+	4.83823e8i	0.124175	+	1.06482i
$147$	7.33758e7	−	3.03933e7i	0.157139	−	0.0650891i
$148$	−4.12638e8	−	6.68096e7i	−0.860046	−	0.139249i
$149$	−6.26186e8	−	2.59375e8i	−1.27045	−	0.526239i	−0.357351	−	0.933970i	$-0.616320\pi$
$149$	−6.26186e8	−	2.59375e8i	−1.27045	−	0.526239i	−0.913102	+	0.407732i	$0.866320\pi$
$150$	−6.93645e8	−	1.24360e9i	−1.37016	−	2.45649i
$151$	1.47293e8	+	1.47293e8i	0.283317	+	0.283317i	0.834430	−	0.551113i	$-0.185797\pi$
$151$	1.47293e8	+	1.47293e8i	0.283317	+	0.283317i	−0.551113	+	0.834430i	$0.685797\pi$
$152$	8.30560e8	+	3.69212e7i	1.55595	+	0.0691674i
$153$	−6.06255e6	−	6.06255e6i	−0.0110634	−	0.0110634i
$154$	1.02571e8	+	2.91182e7i	0.182364	+	0.0517705i
$155$	−6.90598e8	−	2.86055e8i	−1.19646	−	0.495590i
$156$	7.43286e8	+	4.59007e8i	1.25504	+	0.775034i
$157$	−7.14589e8	+	2.95992e8i	−1.17614	+	0.487172i	−0.883217	−	0.468965i	$-0.844627\pi$
$157$	−7.14589e8	+	2.95992e8i	−1.17614	+	0.487172i	−0.292920	+	0.956137i	$0.594627\pi$
$158$	−5.14783e8	+	6.50697e8i	−0.826030	+	1.04412i
$159$			3.91089e8i			0.611909i
$160$	1.06801e9	+	7.26972e8i	1.62966	+	1.10927i
$161$	−4.11565e8			−0.612541
$162$	−5.11628e8	−	4.04762e8i	−0.742839	−	0.587679i
$163$	7.69680e7	+	1.85817e8i	0.109033	+	0.263230i	0.968973	−	0.247165i	$-0.0794991\pi$
$163$	7.69680e7	+	1.85817e8i	0.109033	+	0.263230i	−0.859940	+	0.510395i	$0.829499\pi$
$164$	−4.91062e8	−	3.03249e8i	−0.678830	−	0.419203i
$165$	−1.13700e8	+	2.74496e8i	−0.153400	+	0.370340i
$166$	2.68997e8	−	9.47557e8i	0.354254	−	1.24788i
$167$	7.21103e7	−	7.21103e7i	0.0927110	−	0.0927110i	−0.659230	−	0.751941i	$-0.729118\pi$
$167$	7.21103e7	−	7.21103e7i	0.0927110	−	0.0927110i	0.751941	+	0.659230i	$0.229118\pi$
$168$	4.76096e8	+	5.20393e8i	0.597664	+	0.653272i
$169$	−7.44654e8	+	7.44654e8i	−0.912867	+	0.912867i
$170$	−4.47471e8	+	2.49587e8i	−0.535759	+	0.298831i
$171$	2.56231e7	−	6.18596e7i	0.0299673	−	0.0723474i
$172$	−1.88805e8	−	3.05691e7i	−0.215724	−	0.0349276i
$173$	−3.64335e7	−	8.79583e7i	−0.0406740	−	0.0981957i	0.902237	−	0.431241i	$-0.141924\pi$
$173$	−3.64335e7	−	8.79583e7i	−0.0406740	−	0.0981957i	−0.942911	+	0.333045i	$0.891924\pi$
$174$	4.62634e8	−	5.39505e7i	0.504708	−	0.0588571i
$175$	2.45946e9			2.62233
$176$	−1.43358e7	−	1.99689e8i	−0.0149407	−	0.208115i
$177$			2.36062e8i			0.240510i
$178$	1.00050e9	−	1.16674e8i	0.996638	−	0.116224i
$179$	−3.48592e8	+	1.44392e8i	−0.339552	+	0.140647i	−0.545942	−	0.837823i	$-0.683828\pi$
$179$	−3.48592e8	+	1.44392e8i	−0.339552	+	0.140647i	0.206391	+	0.978470i	$0.433828\pi$
$180$	8.43872e7	−	6.08690e7i	0.0803872	−	0.0579837i
$181$	1.00197e8	+	4.15031e7i	0.0933560	+	0.0386693i	0.428873	−	0.903365i	$-0.358911\pi$
$181$	1.00197e8	+	4.15031e7i	0.0933560	+	0.0386693i	−0.335517	+	0.942034i	$0.608911\pi$
$182$	−1.31774e9	+	7.34996e8i	−1.20100	+	0.669884i
$183$	5.04445e8	+	5.04445e8i	0.449790	+	0.449790i
$184$	2.63732e8	+	7.26384e8i	0.230087	+	0.633717i
$185$	1.42259e9	+	1.42259e9i	1.21449	+	1.21449i
$186$	−2.09256e8	+	7.37116e8i	−0.174834	+	0.615863i
$187$	7.33541e7	+	3.03843e7i	0.0599871	+	0.0248475i
$188$	−3.46153e8	−	1.46397e9i	−0.277100	−	1.17193i
$189$	1.09627e9	−	4.54088e8i	0.859149	−	0.355871i
$190$	−3.13806e9	−	2.48260e9i	−2.40795	−	1.90499i
$191$			6.87422e8i			0.516524i	0.966075	+	0.258262i	$0.0831497\pi$
$191$			6.87422e8i			0.516524i	−0.966075	+	0.258262i	$0.916850\pi$
$192$	6.13375e8	−	1.17374e9i	0.451358	−	0.863712i
$193$	−6.17155e8			−0.444800			−0.222400	−	0.974956i	$-0.571389\pi$
$193$	−6.17155e8			−0.444800			−0.222400	+	0.974956i	$0.571389\pi$
$194$	7.50157e8	−	9.48214e8i	0.529596	−	0.669421i
$195$	−1.60899e9	−	3.88445e9i	−1.11280	−	2.68653i
$196$	2.50658e8	−	5.92675e7i	0.169847	−	0.0401599i
$197$	5.98477e8	−	1.44485e9i	0.397358	−	0.959308i	−0.590932	−	0.806722i	$-0.701240\pi$
$197$	5.98477e8	−	1.44485e9i	0.397358	−	0.959308i	0.988290	−	0.152587i	$-0.0487603\pi$
$198$	−1.55107e7	−	4.40326e6i	−0.0100919	−	0.00286493i
$199$	−1.40301e9	+	1.40301e9i	−0.894642	+	0.894642i	−0.994956	−	0.100314i	$-0.968015\pi$
$199$	−1.40301e9	+	1.40301e9i	−0.894642	+	0.894642i	0.100314	+	0.994956i	$0.468015\pi$
$200$	−1.57603e9	−	4.34078e9i	−0.985017	−	2.71299i
$201$	−1.13145e9	+	1.13145e9i	−0.693187	+	0.693187i
$202$	9.33018e8	+	1.67276e9i	0.560382	+	1.00468i
$203$	−3.07858e8	+	7.43234e8i	−0.181287	+	0.437665i
$204$	3.07255e8	+	4.25970e8i	0.177410	+	0.245957i
$205$	1.06300e9	+	2.56632e9i	0.601894	+	1.45310i
$206$	6.01252e6	+	5.15583e7i	0.00333878	+	0.0286306i
$207$	6.22369e7			0.0338974
$208$	2.14163e9	+	1.85473e9i	1.14417	+	0.990892i
$209$			6.20055e8i			0.324972i
$210$	−3.93204e8	−	3.37178e9i	−0.202181	−	1.73373i
$211$	2.74150e9	−	1.13557e9i	1.38312	−	0.572906i	0.437804	−	0.899071i	$-0.355757\pi$
$211$	2.74150e9	−	1.13557e9i	1.38312	−	0.572906i	0.945313	+	0.326165i	$0.105757\pi$
$212$	−2.02714e8	+	1.25203e9i	−0.100355	+	0.619826i
$213$	1.59999e9	+	6.62738e8i	0.777318	+	0.321976i
$214$	1.69563e9	+	3.04000e9i	0.808490	+	1.44950i
$215$	6.50913e8	+	6.50913e8i	0.304628	+	0.304628i
$216$	−1.50392e9	−	1.64385e9i	−0.690893	−	0.755176i
$217$	−9.35817e8	−	9.35817e8i	−0.422039	−	0.422039i
$218$	2.40769e9	+	6.83505e8i	1.06604	+	0.302633i
$219$	−2.22023e9	−	9.19650e8i	−0.965210	−	0.399803i
$220$	−5.06277e8	+	8.19833e8i	−0.216121	+	0.349973i
$221$	−1.03805e9	+	4.29974e8i	−0.435160	+	0.180249i
$222$	1.27954e9	−	1.61736e9i	0.526794	−	0.665878i
$223$		−	8.97931e8i		−	0.363098i	−0.983382	−	0.181549i	$-0.941889\pi$
$223$		−	8.97931e8i		−	0.363098i	0.983382	−	0.181549i	$-0.0581110\pi$
$224$	1.25443e9	+	1.91275e9i	0.498257	+	0.759743i
$225$	−3.71920e8			−0.145117
$226$	3.55846e8	+	2.81519e8i	0.136404	+	0.107913i
$227$	−4.47336e8	−	1.07996e9i	−0.168473	−	0.406730i	0.816983	−	0.576662i	$-0.195645\pi$
$227$	−4.47336e8	−	1.07996e9i	−0.168473	−	0.406730i	−0.985456	+	0.169932i	$0.945645\pi$
$228$	−2.15513e9	+	3.48988e9i	−0.797507	+	1.29143i
$229$	1.34013e9	−	3.23537e9i	0.487311	−	1.17647i	−0.468756	−	0.883328i	$-0.655298\pi$
$229$	1.34013e9	−	3.23537e9i	0.487311	−	1.17647i	0.956068	−	0.293146i	$-0.0947023\pi$
$230$	1.01572e9	−	3.57793e9i	0.362963	−	1.27856i
$231$	−3.71965e8	+	3.71965e8i	−0.130633	+	0.130633i
$232$	1.50903e9	+	6.70816e7i	0.520891	+	0.0231554i
$233$	−7.10598e8	+	7.10598e8i	−0.241102	+	0.241102i	−0.817306	−	0.576204i	$-0.804533\pi$
$233$	−7.10598e8	+	7.10598e8i	−0.241102	+	0.241102i	0.576204	+	0.817306i	$0.304533\pi$
$234$	1.99268e8	−	1.11146e8i	0.0664621	−	0.0370707i
$235$	−2.77072e9	+	6.68910e9i	−0.908491	+	2.19329i
$236$	−1.22359e8	+	7.55725e8i	−0.0394445	+	0.243622i
$237$	−1.56648e9	−	3.78183e9i	−0.496515	−	1.19869i
$238$	−9.01048e8	+	1.05077e8i	−0.280828	+	0.0327490i
$239$	6.14141e9			1.88225			0.941124	−	0.338062i	$-0.109771\pi$
$239$	6.14141e9			1.88225			0.941124	+	0.338062i	$0.109771\pi$
$240$	−5.69900e9	+	2.85462e9i	−1.71772	+	0.860406i
$241$		−	4.21172e9i		−	1.24851i	−0.781222	−	0.624254i	$-0.785403\pi$
$241$		−	4.21172e9i		−	1.24851i	0.781222	−	0.624254i	$-0.214597\pi$
$242$	−3.25835e9	+	3.79975e8i	−0.950027	+	0.110788i
$243$	−3.23619e8	+	1.34047e8i	−0.0928129	+	0.0384444i
$244$	1.35345e9	+	1.87639e9i	0.381842	+	0.529376i
$245$	−1.14529e9	−	4.74396e8i	−0.317872	−	0.131667i
$246$	2.48675e9	−	1.38704e9i	0.679035	−	0.378747i
$247$	−6.20454e9	−	6.20454e9i	−1.66695	−	1.66695i
$248$	−1.05198e9	+	2.25133e9i	−0.278100	+	0.595157i
$249$	3.43625e9	+	3.43625e9i	0.893896	+	0.893896i
$250$	−3.96682e9	+	1.39733e10i	−1.01551	+	3.57717i
$251$	3.19334e9	+	1.32273e9i	0.804545	+	0.333254i	0.746775	−	0.665076i	$-0.231601\pi$
$251$	3.19334e9	+	1.32273e9i	0.804545	+	0.333254i	0.0577699	+	0.998330i	$0.481601\pi$
$252$	1.79276e8	−	4.23894e7i	0.0444549	−	0.0105113i
$253$	−5.32478e8	+	2.20560e8i	−0.129963	+	0.0538325i
$254$	3.58989e9	+	2.84006e9i	0.862475	+	0.682326i
$255$		−	2.52783e9i		−	0.597843i
$256$	2.57204e9	−	3.43968e9i	0.598849	−	0.800862i
$257$	−4.50633e9			−1.03298			−0.516488	−	0.856294i	$-0.672761\pi$
$257$	−4.50633e9			−1.03298			−0.516488	+	0.856294i	$0.672761\pi$
$258$	5.85459e8	−	7.40032e8i	0.132135	−	0.167021i
$259$	1.36311e9	+	3.29083e9i	0.302922	+	0.731319i
$260$	−3.13757e9	−	1.32696e10i	−0.686594	−	2.90379i
$261$	4.65543e7	−	1.12392e8i	0.0100322	−	0.0242199i
$262$	2.24002e9	+	6.35908e8i	0.475387	+	0.134955i
$263$	−3.93081e9	+	3.93081e9i	−0.821597	+	0.821597i	−0.986337	−	0.164740i	$-0.947322\pi$
$263$	−3.93081e9	+	3.93081e9i	−0.821597	+	0.821597i	0.164740	+	0.986337i	$0.447322\pi$
$264$	8.94848e8	+	4.18137e8i	0.184219	+	0.0860800i
$265$	4.31642e9	−	4.31642e9i	0.875266	−	0.875266i
$266$	−3.45096e9	−	6.18704e9i	−0.689308	−	1.23582i
$267$	−1.90175e9	+	4.59123e9i	−0.374204	+	0.903408i
$268$	−4.20866e9	+	3.03573e9i	−0.815840	+	0.588470i
$269$	−6.10367e8	−	1.47356e9i	−0.116569	−	0.281422i	0.854817	−	0.518930i	$-0.173669\pi$
$269$	−6.10367e8	−	1.47356e9i	−0.116569	−	0.281422i	−0.971386	+	0.237508i	$0.923669\pi$
$270$	1.24208e9	+	1.06510e10i	0.233719	+	2.00418i
$271$	−5.29976e9			−0.982606			−0.491303	−	0.870989i	$-0.663479\pi$
$271$	−5.29976e9			−0.982606			−0.491303	+	0.870989i	$0.663479\pi$
$272$	7.62846e8	+	1.52295e9i	0.139367	+	0.278235i
$273$		−	7.44408e9i		−	1.34017i
$274$	1.40340e8	+	1.20344e9i	0.0248989	+	0.213512i
$275$	3.18202e9	−	1.31804e9i	0.556381	−	0.230461i
$276$	−3.76357e9	−	6.09354e8i	−0.648580	−	0.105011i
$277$	−9.34387e9	−	3.87036e9i	−1.58711	−	0.657403i	−0.597592	−	0.801800i	$-0.703876\pi$
$277$	−9.34387e9	−	3.87036e9i	−1.58711	−	0.657403i	−0.989520	+	0.144397i	$0.953876\pi$
$278$	5.18707e8	+	9.29962e8i	0.0868446	+	0.155699i
$279$	1.41514e8	+	1.41514e8i	0.0233552	+	0.0233552i
$280$	4.88906e8	−	1.09982e10i	0.0795414	−	1.78932i
$281$	5.51403e9	+	5.51403e9i	0.884390	+	0.884390i	0.993977	−	0.109587i	$-0.0349528\pi$
$281$	5.51403e9	+	5.51403e9i	0.884390	+	0.884390i	−0.109587	+	0.993977i	$0.534953\pi$
$282$	7.13968e9	+	2.02685e9i	1.12897	+	0.320497i
$283$	−1.38969e9	−	5.75628e8i	−0.216657	−	0.0897421i	0.271715	−	0.962378i	$-0.412409\pi$
$283$	−1.38969e9	−	5.75628e8i	−0.216657	−	0.0897421i	−0.488372	+	0.872636i	$0.662409\pi$
$284$	4.77866e9	+	2.95100e9i	0.734570	+	0.453624i
$285$	1.82383e10	−	7.55456e9i	2.76443	−	1.14506i
$286$	−1.31098e9	+	1.65711e9i	−0.195944	+	0.247678i
$287$			4.91804e9i			0.724877i
$288$	−1.89695e8	−	2.89247e8i	−0.0275731	−	0.0420434i
$289$	6.30024e9			0.903162
$290$	−5.70151e9	−	4.51061e9i	−0.806116	−	0.637740i
$291$	2.28272e9	+	5.51098e9i	0.318333	+	0.768523i
$292$	−6.63113e9	−	4.09497e9i	−0.912128	−	0.563273i
$293$	−3.78716e9	+	9.14302e9i	−0.513859	+	1.24056i	0.427763	+	0.903891i	$0.359302\pi$
$293$	−3.78716e9	+	9.14302e9i	−0.513859	+	1.24056i	−0.941622	+	0.336673i	$0.890698\pi$
$294$	−3.47032e8	+	1.22244e9i	−0.0464494	+	0.163621i
$295$	2.60540e9	−	2.60540e9i	0.344022	−	0.344022i
$296$	4.93461e9	−	4.51457e9i	0.642816	−	0.588097i
$297$	1.17499e9	−	1.17499e9i	0.151011	−	0.151011i
$298$	9.47084e9	−	5.28257e9i	1.20095	−	0.669854i
$299$	3.12119e9	−	7.53522e9i	0.390513	−	0.942782i
$300$	2.24906e10	+	3.64143e9i	2.77662	+	0.449559i
$301$	6.23698e8	+	1.50574e9i	0.0759815	+	0.183436i
$302$	−3.31042e9	+	3.86047e8i	−0.397974	+	0.0464101i
$303$	−9.44965e9			−1.12110
$304$	−8.70832e9	+	1.00554e10i	−1.01962	+	1.17735i
$305$		−	1.11351e10i		−	1.28675i
$306$	1.36256e8	−	1.58897e7i	0.0155407	−	0.00181230i
$307$	6.24734e9	−	2.58773e9i	0.703302	−	0.291317i	−0.00222805	−	0.999998i	$-0.500709\pi$
$307$	6.24734e9	−	2.58773e9i	0.703302	−	0.291317i	0.705530	+	0.708680i	$0.250709\pi$
$308$	−1.38360e9	+	9.98001e8i	−0.153748	+	0.110899i
$309$	−2.36598e8	−	9.80019e7i	−0.0259523	−	0.0107498i
$310$	1.04450e10	−	5.82595e9i	1.13100	−	0.630842i
$311$	2.20047e9	+	2.20047e9i	0.235220	+	0.235220i	0.814867	−	0.579647i	$-0.196810\pi$
$311$	2.20047e9	+	2.20047e9i	0.235220	+	0.235220i	−0.579647	+	0.814867i	$0.696810\pi$
$312$	−1.31383e10	+	4.77018e9i	−1.38650	+	0.503404i
$313$	−1.80141e9	−	1.80141e9i	−0.187687	−	0.187687i	0.607008	−	0.794695i	$-0.292369\pi$
$313$	−1.80141e9	−	1.80141e9i	−0.187687	−	0.187687i	−0.794695	+	0.607008i	$0.792369\pi$
$314$	3.37966e9	−	1.19050e10i	0.347659	−	1.22465i
$315$	−8.19138e8	−	3.39298e8i	−0.0831984	−	0.0344619i
$316$	−3.05467e9	−	1.29190e10i	−0.306349	−	1.29563i
$317$	7.53552e9	−	3.12132e9i	0.746236	−	0.309101i	0.0230314	−	0.999735i	$-0.492668\pi$
$317$	7.53552e9	−	3.12132e9i	0.746236	−	0.309101i	0.723205	+	0.690634i	$0.242668\pi$
$318$	−4.90740e9	−	3.88237e9i	−0.479891	−	0.379654i
$319$			1.12657e9i			0.108792i
$320$	−1.97243e10	+	6.18477e9i	−1.88106	+	0.589825i
$321$	−1.71734e10			−1.61747
$322$	4.08564e9	−	5.16433e9i	0.380046	−	0.480386i
$323$	−2.01882e9	−	4.87386e9i	−0.185476	−	0.447778i
$324$	1.01579e10	−	2.40182e9i	0.921777	−	0.217952i
$325$	−1.86518e10	+	4.50295e10i	−1.67182	+	4.03612i
$326$	−3.09571e9	−	8.78824e8i	−0.274088	−	0.0778093i
$327$	−8.73129e9	+	8.73129e9i	−0.763638	+	0.763638i
$328$	8.68000e9	−	3.15149e9i	0.749936	−	0.272283i
$329$	−9.06429e9	+	9.06429e9i	−0.773660	+	0.773660i
$330$	−2.31568e9	−	4.15165e9i	−0.195264	−	0.350078i
$331$	−5.51912e9	+	1.33243e10i	−0.459789	+	1.11003i	0.508694	+	0.860947i	$0.330128\pi$
$331$	−5.51912e9	+	1.33243e10i	−0.459789	+	1.11003i	−0.968483	+	0.249080i	$0.919872\pi$
$332$	9.21962e9	+	1.27819e10i	0.758859	+	1.05206i
$333$	−2.06129e8	−	4.97640e8i	−0.0167634	−	0.0404705i
$334$	1.88998e8	+	1.62069e9i	0.0151870	+	0.130231i
$335$	2.49754e10			1.98305
$336$	−1.12561e10	+	8.08084e8i	−0.883146	+	0.0634015i
$337$		−	1.04723e10i		−	0.811938i	−0.913887	−	0.405969i	$-0.866934\pi$
$337$		−	1.04723e10i		−	0.811938i	0.913887	−	0.405969i	$-0.133066\pi$
$338$	−1.95171e9	−	1.67362e10i	−0.149537	−	1.28230i
$339$	−2.06816e9	+	8.56661e8i	−0.156598	+	0.0648650i
$340$	1.31025e9	−	8.09255e9i	0.0980483	−	0.605578i
$341$	−1.71226e9	−	7.09241e8i	−0.126634	−	0.0524537i
$342$	5.21854e8	+	9.35605e8i	0.0381456	+	0.0683893i
$343$	−1.04442e10	−	1.04442e10i	−0.754570	−	0.754570i
$344$	2.25786e9	−	2.06566e9i	0.161236	−	0.147512i
$345$	1.29751e10	+	1.29751e10i	0.915870	+	0.915870i
$346$	1.46538e9	+	4.16000e8i	0.102246	+	0.0290261i
$347$	1.29716e10	+	5.37301e9i	0.894696	+	0.370595i	0.782179	−	0.623054i	$-0.214108\pi$
$347$	1.29716e10	+	5.37301e9i	0.894696	+	0.370595i	0.112518	+	0.993650i	$0.464108\pi$
$348$	−3.91563e9	+	6.34072e9i	−0.266984	+	0.432336i
$349$	−6.36036e9	+	2.63455e9i	−0.428726	+	0.177584i	−0.586603	−	0.809875i	$-0.699535\pi$
$349$	−6.36036e9	+	2.63455e9i	−0.428726	+	0.177584i	0.157877	+	0.987459i	$0.449535\pi$
$350$	−2.44153e10	+	3.08614e10i	−1.62701	+	2.05657i
$351$			2.35149e10i			1.54922i
$352$	2.64802e9	+	1.80244e9i	0.172485	+	0.117406i
$353$	1.56206e10			1.00600			0.503002	−	0.864285i	$-0.332229\pi$
$353$	1.56206e10			1.00600			0.503002	+	0.864285i	$0.332229\pi$
$354$	−2.96212e9	−	2.34341e9i	−0.188620	−	0.149223i
$355$	−1.03444e10	−	2.49736e10i	−0.651316	−	1.57242i
$356$	−8.46801e9	+	1.37126e10i	−0.527208	+	0.853726i
$357$	1.71271e9	−	4.13485e9i	0.105441	−	0.254558i
$358$	1.64867e9	−	5.80754e9i	0.100370	−	0.353557i
$359$	8.33023e9	−	8.33023e9i	0.501509	−	0.501509i	−0.410397	−	0.911907i	$-0.634610\pi$
$359$	8.33023e9	−	8.33023e9i	0.501509	−	0.501509i	0.911907	+	0.410397i	$0.134610\pi$
$360$	−7.39324e7	+	1.66314e9i	−0.00440174	+	0.0990194i
$361$	1.71224e10	−	1.71224e10i	1.00817	−	1.00817i
$362$	−1.51545e9	+	8.45276e8i	−0.0882485	+	0.0492226i
$363$	6.19346e9	−	1.49523e10i	0.356703	−	0.861157i
$364$	3.85850e9	−	2.38313e10i	0.219793	−	1.35751i
$365$	1.43544e10	+	3.46547e10i	0.808750	+	1.95250i
$366$	−1.13375e10	+	1.32213e9i	−0.631817	+	0.0736800i
$367$	−5.76388e9			−0.317724			−0.158862	−	0.987301i	$-0.550783\pi$
$367$	−5.76388e9			−0.317724			−0.158862	+	0.987301i	$0.550783\pi$
$368$	−1.17328e10	−	3.90156e9i	−0.639749	−	0.212739i
$369$		−	7.43706e8i		−	0.0401140i
$370$	−3.19728e10	+	3.72855e9i	−1.70598	+	0.198945i
$371$	9.98505e9	−	4.13594e9i	0.527053	−	0.218313i
$372$	−7.17206e9	−	9.94316e9i	−0.374517	−	0.519221i
$373$	−5.76183e9	−	2.38663e9i	−0.297663	−	0.123296i	0.228854	−	0.973461i	$-0.426502\pi$
$373$	−5.76183e9	−	2.38663e9i	−0.297663	−	0.123296i	−0.526517	+	0.850165i	$0.676502\pi$
$374$	−1.10945e9	+	6.18823e8i	−0.0567052	+	0.0316286i
$375$	−5.06733e10	−	5.06733e10i	−2.56244	−	2.56244i
$376$	2.18063e10	+	1.01894e10i	1.09101	+	0.509799i
$377$	−1.12729e10	−	1.12729e10i	−0.558049	−	0.558049i
$378$	−5.18480e9	+	1.82637e10i	−0.253960	+	0.894587i
$379$	3.59130e10	+	1.48757e10i	1.74058	+	0.720974i	0.998728	+	0.0504139i	$0.0160540\pi$
$379$	3.59130e10	+	1.48757e10i	1.74058	+	0.720974i	0.741856	+	0.670560i	$0.233946\pi$
$380$	6.23036e10	−	1.47315e10i	2.98799	−	0.706502i
$381$	−2.08643e10	+	8.64228e9i	−0.990157	+	0.410137i
$382$	−8.62580e9	−	6.82409e9i	−0.405085	−	0.320473i
$383$		−	7.50757e8i		−	0.0348903i	−0.999848	−	0.0174451i	$-0.994447\pi$
$383$		−	7.50757e8i		−	0.0348903i	0.999848	−	0.0174451i	$-0.00555324\pi$
$384$	8.63917e9	+	1.93485e10i	0.397326	+	0.889861i
$385$	8.21070e9			0.373712
$386$	6.12654e9	−	7.74408e9i	0.275973	−	0.348835i
$387$	−9.43156e7	−	2.27698e8i	−0.00420475	−	0.0101512i
$388$	4.45136e9	+	1.88260e10i	0.196411	+	0.830674i
$389$	4.43453e9	−	1.07059e10i	0.193664	−	0.467547i	−0.796982	−	0.604003i	$-0.793571\pi$
$389$	4.43453e9	−	1.07059e10i	0.193664	−	0.467547i	0.990646	+	0.136457i	$0.0435714\pi$
$390$	6.47149e10	+	1.83716e10i	2.79734	+	0.794123i
$391$	3.46736e9	−	3.46736e9i	0.148351	−	0.148351i
$392$	−1.74461e9	+	3.73362e9i	−0.0738847	+	0.158120i
$393$	−8.12327e9	+	8.12327e9i	−0.340534	+	0.340534i
$394$	1.21889e10	+	2.18529e10i	0.505801	+	0.906825i
$395$	−2.44506e10	+	5.90289e10i	−1.00439	+	2.42480i
$396$	2.09229e8	−	1.50918e8i	0.00850825	−	0.00613705i
$397$	−1.73503e10	−	4.18873e10i	−0.698465	−	1.68624i	−0.726987	−	0.686651i	$-0.759080\pi$
$397$	−1.73503e10	−	4.18873e10i	−0.698465	−	1.68624i	0.0285215	−	0.999593i	$-0.490920\pi$
$398$	−3.67724e9	−	3.15329e10i	−0.146551	−	1.25670i
$399$	3.49515e10			1.37903
$400$	7.01136e10	+	2.33152e10i	2.73881	+	0.910750i
$401$			8.14502e8i			0.0315003i	0.999876	+	0.0157501i	$0.00501363\pi$
$401$			8.14502e8i			0.0315003i	−0.999876	+	0.0157501i	$0.994986\pi$
$402$	−2.96548e9	−	2.54294e10i	−0.113551	−	0.973716i
$403$	2.42306e10	−	1.00366e10i	0.918636	−	0.380511i
$404$	−3.02520e10	−	4.89806e9i	−1.13561	−	0.183865i
$405$	−4.64131e10	−	1.92249e10i	−1.72513	−	0.714570i
$406$	−6.27000e9	−	1.12411e10i	−0.230762	−	0.413720i
$407$	3.52715e9	+	3.52715e9i	0.128542	+	0.128542i
$408$	−8.39523e9	−	3.73196e8i	−0.302965	−	0.0134678i
$409$	−2.85705e8	−	2.85705e8i	−0.0102100	−	0.0102100i	0.701983	−	0.712193i	$-0.252298\pi$
$409$	−2.85705e8	−	2.85705e8i	−0.0102100	−	0.0102100i	−0.712193	+	0.701983i	$0.752298\pi$
$410$	−4.27548e10	−	1.21374e10i	−1.51304	−	0.429528i
$411$	−5.52250e9	−	2.28749e9i	−0.193539	−	0.0801665i
$412$	−7.06642e8	−	4.36378e8i	−0.0245251	−	0.0151452i
$413$	6.02700e9	−	2.49647e9i	0.207158	−	0.0858075i
$414$	−6.17831e8	+	7.80951e8i	−0.0210314	+	0.0265841i
$415$		−	7.58512e10i		−	2.55723i
$416$	−4.45332e10	+	8.46119e9i	−1.48700	+	0.282526i
$417$	−5.25349e9			−0.173741
$418$	−7.78048e9	−	6.15534e9i	−0.254860	−	0.201626i
$419$	−1.24538e10	−	3.00661e10i	−0.404059	−	0.975485i	−0.986670	−	0.162734i	$-0.947969\pi$
$419$	−1.24538e10	−	3.00661e10i	−0.404059	−	0.975485i	0.582611	−	0.812751i	$-0.302031\pi$
$420$	4.62126e10	+	2.85380e10i	1.48513	+	0.917120i
$421$	−1.20585e10	+	2.91119e10i	−0.383854	+	0.926706i	0.607358	+	0.794428i	$0.292229\pi$
$421$	−1.20585e10	+	2.91119e10i	−0.383854	+	0.926706i	−0.991213	+	0.132278i	$0.957771\pi$
$422$	−1.29660e10	+	4.56733e10i	−0.408841	+	1.44017i
$423$	1.37070e9	−	1.37070e9i	0.0428136	−	0.0428136i
$424$	−1.36981e10	−	1.49726e10i	−0.423835	−	0.463270i
$425$	−2.07205e10	+	2.07205e10i	−0.635104	+	0.635104i
$426$	−2.41993e10	+	1.34977e10i	−0.734791	+	0.409846i
$427$	7.54446e9	−	1.82139e10i	0.226943	−	0.547889i
$428$	−5.49786e10	−	8.90151e9i	−1.63839	−	0.265270i
$429$	−3.98932e9	−	9.63106e9i	−0.117779	−	0.284345i
$430$	−1.46293e10	+	1.70602e9i	−0.427909	+	0.0499010i
$431$	3.12612e10			0.905933			0.452967	−	0.891527i	$-0.350366\pi$
$431$	3.12612e10			0.905933			0.452967	+	0.891527i	$0.350366\pi$
$432$	3.55567e10	−	2.55263e9i	1.02091	−	0.0732914i
$433$		−	2.62219e10i		−	0.745954i	−0.927841	−	0.372977i	$-0.878337\pi$
$433$		−	2.62219e10i		−	0.745954i	0.927841	−	0.372977i	$-0.121663\pi$
$434$	2.10326e10	−	2.45274e9i	0.592835	−	0.0691341i
$435$	3.31369e10	−	1.37258e10i	0.925455	−	0.383336i
$436$	−3.24779e10	+	2.34265e10i	−0.898757	+	0.648279i
$437$	3.53794e10	+	1.46546e10i	0.970119	+	0.401836i
$438$	3.35802e10	−	1.87301e10i	0.912403	−	0.508913i
$439$	−9.76382e9	−	9.76382e9i	−0.262883	−	0.262883i	0.563342	−	0.826224i	$-0.309516\pi$
$439$	−9.76382e9	−	9.76382e9i	−0.262883	−	0.262883i	−0.826224	+	0.563342i	$0.809516\pi$
$440$	−5.26143e9	−	1.44913e10i	−0.140376	−	0.386632i
$441$	2.34689e8	+	2.34689e8i	0.00620494	+	0.00620494i
$442$	4.90947e9	−	1.72939e10i	0.128631	−	0.453110i
$443$	4.64997e10	+	1.92608e10i	1.20736	+	0.500103i	0.893369	−	0.449324i	$-0.148335\pi$
$443$	4.64997e10	+	1.92608e10i	1.20736	+	0.500103i	0.313987	+	0.949427i	$0.398335\pi$
$444$	7.59264e9	+	3.21113e10i	0.195371	+	0.826278i
$445$	7.16626e10	−	2.96836e10i	1.82748	−	0.756967i
$446$	1.12673e10	+	8.91383e9i	0.284760	+	0.225281i
$447$			5.35022e10i			1.34011i
$448$	−3.64541e10	−	3.24743e9i	−0.904970	−	0.0806173i
$449$	5.76517e9			0.141849			0.0709246	−	0.997482i	$-0.477405\pi$
$449$	5.76517e9			0.141849			0.0709246	+	0.997482i	$0.477405\pi$
$450$	3.69208e9	−	4.66686e9i	0.0900369	−	0.113809i
$451$	2.63560e9	+	6.36290e9i	0.0637050	+	0.153797i
$452$	−7.06502e9	+	1.67051e9i	−0.169262	+	0.0400216i
$453$	6.29243e9	−	1.51913e10i	0.149426	−	0.360746i
$454$	1.79922e10	+	5.10770e9i	0.423506	+	0.120227i
$455$	−8.21598e10	+	8.21598e10i	−1.91696	+	1.91696i
$456$	−2.23970e10	−	6.16870e10i	−0.518000	−	1.42670i
$457$	−1.92511e10	+	1.92511e10i	−0.441358	+	0.441358i	−0.892468	−	0.451110i	$-0.851028\pi$
$457$	−1.92511e10	+	1.92511e10i	−0.441358	+	0.441358i	0.451110	+	0.892468i	$0.351028\pi$
$458$	2.72939e10	+	4.89338e10i	0.620304	+	1.11211i
$459$	−5.41023e9	+	1.30614e10i	−0.121889	+	0.294266i
$460$	3.48128e10	+	4.82637e10i	0.777514	+	1.07793i
$461$	2.86724e10	+	6.92214e10i	0.634835	+	1.53263i	0.833476	+	0.552555i	$0.186347\pi$
$461$	2.86724e10	+	6.92214e10i	0.634835	+	1.53263i	−0.198641	+	0.980072i	$0.563653\pi$
$462$	−9.74904e8	−	8.35995e9i	−0.0213990	−	0.183500i
$463$	−3.94017e10			−0.857415			−0.428708	−	0.903443i	$-0.641031\pi$
$463$	−3.94017e10			−0.857415			−0.428708	+	0.903443i	$0.641031\pi$
$464$	−1.58220e10	+	1.82695e10i	−0.341342	+	0.394143i
$465$			5.90056e10i			1.26206i
$466$	−1.86245e9	−	1.59708e10i	−0.0394949	−	0.338674i
$467$	−5.80071e10	+	2.40273e10i	−1.21959	+	0.505171i	−0.897279	−	0.441463i	$-0.854459\pi$
$467$	−5.80071e10	+	2.40273e10i	−1.21959	+	0.505171i	−0.322310	+	0.946634i	$0.604459\pi$
$468$	−5.83483e8	+	3.60378e9i	−0.0121631	+	0.0751233i
$469$	4.08530e10	+	1.69219e10i	0.844371	+	0.349750i
$470$	−5.64300e10	−	1.01170e11i	−1.15643	−	2.07330i
$471$	4.31727e10	+	4.31727e10i	0.877254	+	0.877254i
$472$	−8.26820e9	−	9.03750e9i	−0.166588	−	0.182088i
$473$	1.61387e9	+	1.61387e9i	0.0322421	+	0.0322421i
$474$	6.30051e10	+	1.78862e10i	1.24814	+	0.354327i
$475$	−2.11423e11	−	8.75742e10i	−4.15315	−	1.72029i
$476$	7.62626e9	−	1.23495e10i	0.148554	−	0.240559i
$477$	−1.50994e9	+	6.25438e8i	−0.0291666	+	0.0120812i
$478$	−6.09663e10	+	7.70627e10i	−1.16783	+	1.47616i
$479$			1.42227e10i			0.270172i	0.990834	+	0.135086i	$0.0431311\pi$
$479$			1.42227e10i			0.270172i	−0.990834	+	0.135086i	$0.956869\pi$
$480$	2.07545e10	−	9.98492e10i	0.390973	−	1.88096i
$481$	−7.05883e10			−1.31872
$482$	5.28488e10	+	4.18101e10i	0.979145	+	0.774627i
$483$	1.24326e10	+	3.00149e10i	0.228440	+	0.551504i
$484$	2.75779e10	−	4.46579e10i	0.502551	−	0.813798i
$485$	3.56301e10	−	8.60186e10i	0.643947	−	1.55462i
$486$	1.53056e9	−	5.39148e9i	0.0274350	−	0.0966413i
$487$	5.40580e10	−	5.40580e10i	0.961046	−	0.961046i	−0.0382236	−	0.999269i	$-0.512170\pi$
$487$	5.40580e10	−	5.40580e10i	0.961046	−	0.961046i	0.999269	+	0.0382236i	$0.0121699\pi$
$488$	−3.69809e10	−	1.64392e9i	−0.652075	−	0.0289869i
$489$	1.12263e10	−	1.12263e10i	0.196337	−	0.196337i
$490$	1.73221e10	−	9.66181e9i	0.300481	−	0.167600i
$491$	−1.13933e10	+	2.75058e10i	−0.196030	+	0.473258i	−0.991077	−	0.133290i	$-0.957446\pi$
$491$	−1.13933e10	+	2.75058e10i	−0.196030	+	0.473258i	0.795047	+	0.606547i	$0.207446\pi$
$492$	−7.28154e9	+	4.49731e10i	−0.124269	+	0.767525i
$493$	−3.66797e9	−	8.85525e9i	−0.0620923	−	0.149904i
$494$	1.39448e11	−	1.62618e10i	2.34155	−	0.273062i
$495$	−1.24162e9			−0.0206809
$496$	−1.78066e10	−	3.55494e10i	−0.294209	−	0.587361i
$497$		−	4.78588e10i		−	0.784397i
$498$	−7.72300e10	+	9.00625e9i	−1.25565	+	0.146429i
$499$	1.87902e10	−	7.78316e9i	0.303060	−	0.125532i	−0.225971	−	0.974134i	$-0.572555\pi$
$499$	1.87902e10	−	7.78316e9i	0.303060	−	0.125532i	0.529031	+	0.848602i	$0.322555\pi$
$500$	−1.35959e11	−	1.88490e11i	−2.17534	−	3.01584i
$501$	−7.43722e9	−	3.08060e9i	−0.118048	−	0.0488972i
$502$	−4.82981e10	+	2.69394e10i	−0.760529	+	0.424202i
$503$	1.86936e10	+	1.86936e10i	0.292026	+	0.292026i	0.837880	−	0.545854i	$-0.183795\pi$
$503$	1.86936e10	+	1.86936e10i	0.292026	+	0.292026i	−0.545854	+	0.837880i	$0.683795\pi$
$504$	−1.24778e9	+	2.67036e9i	−0.0193382	+	0.0413855i
$505$	1.04295e11	+	1.04295e11i	1.60361	+	1.60361i
$506$	2.51836e9	−	8.87107e9i	0.0384163	−	0.135324i
$507$	7.68012e10	+	3.18121e10i	1.16235	+	0.481460i
$508$	−7.12742e10	+	1.68526e10i	−1.07023	+	0.253054i
$509$	1.87977e10	−	7.78625e9i	0.280048	−	0.116000i	−0.238239	−	0.971207i	$-0.576570\pi$
$509$	1.87977e10	−	7.78625e9i	0.280048	−	0.116000i	0.518287	+	0.855207i	$0.326570\pi$
$510$	3.17193e10	+	2.50940e10i	0.468860	+	0.370927i
$511$			6.64114e10i			0.974000i
$512$	1.76284e10	+	6.64199e10i	0.256526	+	0.966537i
$513$	−1.10407e11			−1.59415
$514$	4.47347e10	−	5.65456e10i	0.640902	−	0.810114i
$515$	1.52967e9	+	3.69295e9i	0.0217455	+	0.0524982i
$516$	3.47405e9	+	1.46927e10i	0.0490047	+	0.207254i
$517$	−6.86968e9	+	1.65849e10i	−0.0961556	+	0.232140i
$518$	−5.48252e10	−	1.55640e10i	−0.761484	−	0.216174i
$519$	−5.31410e9	+	5.31410e9i	−0.0732420	+	0.0732420i
$520$	1.97655e11	+	9.23582e10i	2.70329	+	1.26317i
$521$	7.29209e10	−	7.29209e10i	0.989694	−	0.989694i	−0.0102531	−	0.999947i	$-0.503264\pi$
$521$	7.29209e10	−	7.29209e10i	0.989694	−	0.989694i	0.999947	+	0.0102531i	$0.00326372\pi$
$522$	9.48150e8	+	1.69989e9i	0.0127701	+	0.0228949i
$523$	−9.60971e8	+	2.31999e9i	−0.0128441	+	0.0310084i	−0.930171	−	0.367125i	$-0.880342\pi$
$523$	−9.60971e8	+	2.31999e9i	−0.0128441	+	0.0310084i	0.917327	+	0.398134i	$0.130342\pi$
$524$	−3.02163e10	+	2.17952e10i	−0.400789	+	0.289091i
$525$	−7.42955e10	−	1.79365e11i	−0.977970	−	2.36103i
$526$	−1.03025e10	−	8.83454e10i	−0.134586	−	1.15409i
$527$	1.57682e10			0.204427
$528$	−1.41300e10	+	7.07771e9i	−0.181805	+	0.0910662i
$529$		−	4.27158e10i		−	0.545464i
$530$	1.13132e10	+	9.70120e10i	0.143377	+	1.22948i
$531$	−9.11404e8	+	3.77516e8i	−0.0114639	+	0.00474851i
$532$	1.11893e11	+	1.81165e10i	1.39687	+	0.226166i
$533$	−9.00429e10	−	3.72970e10i	−1.11568	−	0.462131i
$534$	−3.87321e10	−	6.94407e10i	−0.476328	−	0.853983i
$535$	1.89541e11	+	1.89541e11i	2.31360	+	2.31360i
$536$	3.68725e9	−	8.29464e10i	0.0446728	−	1.00494i
$537$	2.10606e10	+	2.10606e10i	0.253264	+	0.253264i
$538$	2.45494e10	+	6.96920e9i	0.293030	+	0.0831866i
$539$	−2.83962e9	−	1.17621e9i	−0.0336439	−	0.0139357i
$540$	−1.45980e11	−	9.01478e10i	−1.71679	−	1.06018i
$541$	−5.00152e10	+	2.07170e10i	−0.583866	+	0.241845i	−0.655009	−	0.755621i	$-0.727335\pi$
$541$	−5.00152e10	+	2.07170e10i	−0.583866	+	0.241845i	0.0711433	+	0.997466i	$0.477335\pi$
$542$	5.26112e10	−	6.65016e10i	0.609650	−	0.770611i
$543$		−	8.56100e9i		−	0.0984748i
$544$	−2.66829e10	−	5.54626e9i	−0.304676	−	0.0633293i
$545$	1.92733e11			2.18459
$546$	9.34085e10	+	7.38979e10i	1.05103	+	0.831499i
$547$	2.80044e10	+	6.76086e10i	0.312807	+	0.755184i	0.999599	+	0.0283290i	$0.00901862\pi$
$547$	2.80044e10	+	6.76086e10i	0.312807	+	0.755184i	−0.686791	+	0.726855i	$0.740981\pi$
$548$	−1.64940e10	−	1.01856e10i	−0.182895	−	0.112945i
$549$	−1.14087e9	+	2.75431e9i	−0.0125588	+	0.0303196i
$550$	−1.50494e10	+	5.30124e10i	−0.164463	+	0.579331i
$551$	5.29288e10	−	5.29288e10i	0.574230	−	0.574230i
$552$	4.50074e10	−	4.11763e10i	0.484761	−	0.443497i
$553$	−7.99891e10	+	7.99891e10i	−0.855323	+	0.855323i
$554$	1.41323e11	−	7.88259e10i	1.50028	−	0.836815i
$555$	6.07739e10	−	1.46721e11i	0.640539	−	1.54640i
$556$	−1.68184e10	−	2.72305e9i	−0.175989	−	0.0284942i
$557$	7.41033e9	+	1.78901e10i	0.0769869	+	0.185863i	0.957687	−	0.287811i	$-0.0929275\pi$
$557$	7.41033e9	+	1.78901e10i	0.0769869	+	0.185863i	−0.880700	+	0.473674i	$0.842928\pi$
$558$	−3.18055e9	+	3.70903e8i	−0.0328069	+	0.00382581i
$559$	−3.22981e10			−0.330772
$560$	1.33152e11	+	1.15315e11i	1.35393	+	1.17255i
$561$		−	6.26747e9i		−	0.0632762i
$562$	−1.23928e11	+	1.44520e10i	−1.24230	+	0.144872i
$563$	−1.71383e11	+	7.09891e10i	−1.70582	+	0.706574i	−0.999998	−	0.00181388i	$-0.999423\pi$
$563$	−1.71383e11	+	7.09891e10i	−1.70582	+	0.706574i	−0.705823	+	0.708388i	$0.749423\pi$
$564$	−9.63090e10	+	6.94683e10i	−0.951811	+	0.686547i
$565$	3.22811e10	+	1.33713e10i	0.316778	+	0.131214i
$566$	2.10185e10	−	1.17236e10i	0.204803	−	0.114234i
$567$	−6.28936e10	−	6.28936e10i	−0.608519	−	0.608519i
$568$	−8.44674e10	+	3.06680e10i	−0.811514	+	0.294640i
$569$	−4.19867e10	−	4.19867e10i	−0.400556	−	0.400556i	0.477873	−	0.878429i	$-0.341408\pi$
$569$	−4.19867e10	−	4.19867e10i	−0.400556	−	0.400556i	−0.878429	+	0.477873i	$0.841408\pi$
$570$	−8.62583e10	+	3.03850e11i	−0.817149	+	2.87845i
$571$	−1.87217e11	−	7.75476e10i	−1.76116	−	0.729498i	−0.996361	−	0.0852336i	$-0.972836\pi$
$571$	−1.87217e11	−	7.75476e10i	−1.76116	−	0.729498i	−0.764803	−	0.644264i	$-0.777164\pi$
$572$	−7.77925e9	−	3.29005e10i	−0.0726697	−	0.307340i
$573$	5.01328e10	−	2.07657e10i	0.465054	−	0.192632i
$574$	−6.17117e10	−	4.88217e10i	−0.568486	−	0.449744i
$575$		−	2.12712e11i		−	1.94590i
$576$	5.51259e9	+	4.91077e8i	0.0500802	+	0.00446128i
$577$	−7.29057e10			−0.657746			−0.328873	−	0.944374i	$-0.606669\pi$
$577$	−7.29057e10			−0.657746			−0.328873	+	0.944374i	$0.606669\pi$
$578$	−6.25430e10	+	7.90556e10i	−0.560360	+	0.708307i
$579$	1.86430e10	+	4.50083e10i	0.165883	+	0.400478i
$580$	1.13199e11	−	2.67655e10i	1.00030	−	0.236518i
$581$	5.13923e10	−	1.24072e11i	0.451018	−	1.08885i
$582$	−9.18128e10	−	2.60643e10i	−0.800223	−	0.227171i
$583$	1.07021e10	−	1.07021e10i	0.0926390	−	0.0926390i
$584$	1.17212e11	−	4.25565e10i	1.00767	−	0.365860i
$585$	1.24242e10	−	1.24242e10i	0.106083	−	0.106083i
$586$	−7.71315e10	−	1.38285e11i	−0.654096	−	1.17269i
$587$	−3.69086e10	+	8.91052e10i	−0.310867	+	0.750500i	0.688806	+	0.724945i	$0.258135\pi$
$587$	−3.69086e10	+	8.91052e10i	−0.310867	+	0.750500i	−0.999673	+	0.0255542i	$0.991865\pi$
$588$	−1.18942e10	−	1.64898e10i	−0.0995006	−	0.137945i
$589$	4.71240e10	+	1.13767e11i	0.391545	+	0.945272i
$590$	6.82865e9	+	5.85567e10i	0.0563542	+	0.483246i
$591$	−1.23450e11			−1.01191
$592$	7.66264e9	+	1.06736e11i	0.0623866	+	0.869010i
$593$		−	6.04621e10i		−	0.488950i	−0.969656	−	0.244475i	$-0.921384\pi$
$593$		−	6.04621e10i		−	0.488950i	0.969656	−	0.244475i	$-0.0786157\pi$
$594$	3.07959e9	+	2.64080e10i	0.0247370	+	0.212124i
$595$	−6.45391e10	+	2.67330e10i	−0.514938	+	0.213294i
$596$	−2.77319e10	+	1.71281e11i	−0.219783	+	1.35745i
$597$	1.44702e11	+	5.99376e10i	1.13914	+	0.471848i
$598$	6.35679e10	+	1.13968e11i	0.497088	+	0.891202i
$599$	2.33131e10	+	2.33131e10i	0.181090	+	0.181090i	0.791831	−	0.610741i	$-0.209128\pi$
$599$	2.33131e10	+	2.33131e10i	0.181090	+	0.181090i	−0.610741	+	0.791831i	$0.709128\pi$
$600$	−2.68959e11	+	2.46064e11i	−2.07530	+	1.89864i
$601$	−4.84797e10	−	4.84797e10i	−0.371588	−	0.371588i	0.496467	−	0.868055i	$-0.334630\pi$
$601$	−4.84797e10	−	4.84797e10i	−0.371588	−	0.371588i	−0.868055	+	0.496467i	$0.834630\pi$
$602$	−2.50856e10	−	7.12141e9i	−0.191002	−	0.0542226i
$603$	−6.17780e9	−	2.55893e9i	−0.0467267	−	0.0193548i
$604$	2.80186e10	−	4.53715e10i	0.210523	−	0.340907i
$605$	−2.33385e11	+	9.66711e10i	−1.74201	+	0.721565i
$606$	9.38074e10	−	1.18575e11i	0.695579	−	0.879227i
$607$			1.71465e11i			1.26305i	0.775354	+	0.631527i	$0.217571\pi$
$607$			1.71465e11i			1.26305i	−0.775354	+	0.631527i	$0.782429\pi$
$608$	−3.97270e10	−	2.09093e11i	−0.290718	−	1.53012i
$609$	6.35029e10			0.461662
$610$	1.39723e11	+	1.10538e11i	1.00913	+	0.798352i
$611$	−9.72144e10	−	2.34696e11i	−0.697535	−	1.68400i
$612$	−1.15324e9	+	1.86749e9i	−0.00822083	+	0.0133123i
$613$	2.76400e10	−	6.67289e10i	0.195748	−	0.472576i	−0.795279	−	0.606244i	$-0.792675\pi$
$613$	2.76400e10	−	6.67289e10i	0.195748	−	0.472576i	0.991026	+	0.133668i	$0.0426754\pi$
$614$	−2.95469e10	+	1.04080e11i	−0.207892	+	0.732311i
$615$	1.55047e11	−	1.55047e11i	1.08384	−	1.08384i
$616$	1.21219e9	−	2.72687e10i	0.00841873	−	0.189383i
$617$	−4.25636e10	+	4.25636e10i	−0.293696	+	0.293696i	−0.838538	−	0.544843i	$-0.816589\pi$
$617$	−4.25636e10	+	4.25636e10i	−0.293696	+	0.293696i	0.544843	+	0.838538i	$0.316589\pi$
$618$	3.57845e9	−	1.99596e9i	0.0245325	−	0.0136835i
$619$	9.88268e10	−	2.38589e11i	0.673151	−	1.62513i	−0.103075	−	0.994674i	$-0.532868\pi$
$619$	9.88268e10	−	2.38589e11i	0.673151	−	1.62513i	0.776225	−	0.630456i	$-0.217132\pi$
$620$	−3.05845e10	+	1.88899e11i	−0.206983	+	1.27839i
$621$	−3.92729e10	−	9.48132e10i	−0.264075	−	0.637532i
$622$	−4.94559e10	+	5.76734e9i	−0.330412	+	0.0385314i
$623$	1.37333e11			0.911636
$624$	7.05684e10	−	2.12214e11i	0.465449	−	1.39970i
$625$			6.78145e11i			4.44429i
$626$	4.04868e10	−	4.72141e9i	0.263643	−	0.0307450i
$627$	4.52198e10	−	1.87307e10i	0.292590	−	0.121195i
$628$	1.15835e11	+	1.60590e11i	0.744731	+	1.03248i
$629$	−3.92086e10	−	1.62407e10i	−0.250483	−	0.103754i
$630$	1.23892e10	−	6.91033e9i	0.0786466	−	0.0438669i
$631$	−1.59473e11	−	1.59473e11i	−1.00594	−	1.00594i	−0.999982	−	0.00595378i	$-0.998105\pi$
$631$	−1.59473e11	−	1.59473e11i	−1.00594	−	1.00594i	−0.00595378	−	0.999982i	$-0.501895\pi$
$632$	1.92432e11	+	8.99181e10i	1.20617	+	0.563610i
$633$	−1.65631e11	−	1.65631e11i	−1.03164	−	1.03164i
$634$	−3.56393e10	+	1.25542e11i	−0.220583	+	0.777017i
$635$	3.25662e11	+	1.34894e11i	2.00296	+	0.829654i
$636$	9.74322e10	−	2.30376e10i	0.595489	−	0.140802i
$637$	4.01842e10	−	1.66448e10i	0.244060	−	0.101093i
$638$	−1.41362e10	−	1.11835e10i	−0.0853201	−	0.0674989i
$639$			7.23721e9i			0.0434078i
$640$	1.18198e11	−	3.08898e11i	0.704516	−	1.84118i
$641$	−6.49568e10			−0.384762			−0.192381	−	0.981320i	$-0.561621\pi$
$641$	−6.49568e10			−0.384762			−0.192381	+	0.981320i	$0.561621\pi$
$642$	1.70481e11	−	2.15492e11i	1.00355	−	1.26850i
$643$	−9.89919e10	−	2.38988e11i	−0.579103	−	1.39808i	−0.893619	−	0.448826i	$-0.851842\pi$
$643$	−9.89919e10	−	2.38988e11i	−0.579103	−	1.39808i	0.314516	−	0.949252i	$-0.398158\pi$
$644$	2.42438e10	+	1.02533e11i	0.140947	+	0.596104i
$645$	2.78074e10	−	6.71331e10i	0.160665	−	0.387880i
$646$	8.11983e10	+	2.30510e10i	0.466248	+	0.132361i
$647$	−2.18489e11	+	2.18489e11i	−1.24685	+	1.24685i	−0.289741	+	0.957105i	$0.593569\pi$
$647$	−2.18489e11	+	2.18489e11i	−1.24685	+	1.24685i	−0.957105	+	0.289741i	$0.906431\pi$
$648$	−7.07006e10	+	1.51305e11i	−0.400980	+	0.858132i
$649$	6.45980e9	−	6.45980e9i	0.0364116	−	0.0364116i
$650$	−3.79874e11	−	6.81055e11i	−2.12807	−	3.81530i
$651$	−3.99787e10	+	9.65172e10i	−0.222590	+	0.537379i
$652$	4.17588e10	−	3.01209e10i	0.231078	−	0.166678i
$653$	9.96406e10	+	2.40554e11i	0.548004	+	1.32300i	0.918961	+	0.394348i	$0.129030\pi$
$653$	9.96406e10	+	2.40554e11i	0.548004	+	1.32300i	−0.370957	+	0.928650i	$0.620970\pi$
$654$	−2.28843e10	−	1.96237e11i	−0.125091	−	1.07268i
$655$	1.79312e11			0.974191
$656$	−4.66220e10	+	1.40202e11i	−0.251754	+	0.757075i
$657$		−	1.00427e10i		−	0.0539002i
$658$	−2.37571e10	−	2.03721e11i	−0.126733	−	1.08676i
$659$	3.04070e11	−	1.25950e11i	1.61225	−	0.667814i	0.619167	−	0.785259i	$-0.287470\pi$
$659$	3.04070e11	−	1.25950e11i	1.61225	−	0.667814i	0.993079	+	0.117445i	$0.0374704\pi$
$660$	7.50830e10	+	1.21566e10i	0.395700	+	0.0640672i
$661$	2.85511e11	+	1.18262e11i	1.49560	+	0.619499i	0.972528	−	0.232787i	$-0.0747844\pi$
$661$	2.85511e11	+	1.18262e11i	1.49560	+	0.619499i	0.523076	+	0.852286i	$0.324784\pi$
$662$	−1.12406e11	−	2.01526e11i	−0.585269	−	1.04930i
$663$	6.27150e10	+	6.27150e10i	0.324577	+	0.324577i
$664$	−2.51911e11	−	1.11983e10i	−1.29591	−	0.0576076i
$665$	−3.85757e11	−	3.85757e11i	−1.97255	−	1.97255i
$666$	8.29067e9	+	2.35359e9i	0.0421398	+	0.0119629i
$667$	6.42804e10	+	2.66258e10i	0.324769	+	0.134524i
$668$	−2.22126e10	−	1.37171e10i	−0.111556	−	0.0688902i
$669$	−6.54849e10	+	2.71247e10i	−0.326916	+	0.135413i
$670$	−2.47933e11	+	3.13392e11i	−1.23037	+	1.55521i
$671$		−	2.76081e10i		−	0.136190i
$672$	1.01601e11	−	1.49264e11i	0.498218	−	0.731946i
$673$	1.12162e11			0.546744			0.273372	−	0.961908i	$-0.411861\pi$
$673$	1.12162e11			0.546744			0.273372	+	0.961908i	$0.411861\pi$
$674$	1.31407e11	+	1.03959e11i	0.636764	+	0.503760i
$675$	2.34690e11	+	5.66592e11i	1.13052	+	2.72932i
$676$	2.29381e11	+	1.41651e11i	1.09842	+	0.678318i
$677$	2.87948e10	−	6.95168e10i	0.137075	−	0.330929i	−0.840404	−	0.541961i	$-0.817682\pi$
$677$	2.87948e10	−	6.95168e10i	0.137075	−	0.330929i	0.977479	+	0.211031i	$0.0676822\pi$
$678$	9.78140e9	−	3.44555e10i	0.0462895	−	0.163057i
$679$	1.16562e11	−	1.16562e11i	0.548377	−	0.548377i
$680$	8.85386e10	+	9.67765e10i	0.414092	+	0.452621i
$681$	−6.52472e10	+	6.52472e10i	−0.303371	+	0.303371i
$682$	2.58973e10	−	1.44448e10i	0.119706	−	0.0667689i
$683$	1.36922e11	−	3.30560e11i	0.629204	−	1.51903i	−0.211410	−	0.977397i	$-0.567806\pi$
$683$	1.36922e11	−	3.30560e11i	0.629204	−	1.51903i	0.840614	−	0.541635i	$-0.182194\pi$
$684$	−1.69205e10	−	2.73957e9i	−0.0773016	−	0.0125158i
$685$	3.57045e10	+	8.61984e10i	0.162167	+	0.391505i
$686$	2.34735e11	−	2.73739e10i	1.05994	−	0.123606i
$687$	−2.76434e11			−1.24098
$688$	3.50608e9	+	4.88377e10i	0.0156483	+	0.217972i
$689$			2.14179e11i			0.950386i
$690$	−2.91617e11	+	3.40072e10i	−1.28652	+	0.150029i
$691$	−1.95250e11	+	8.08751e10i	−0.856404	+	0.354734i	−0.767300	−	0.641288i	$-0.778400\pi$
$691$	−1.95250e11	+	8.08751e10i	−0.856404	+	0.354734i	−0.0891037	+	0.996022i	$0.528400\pi$
$692$	−1.97669e10	+	1.42580e10i	−0.0862016	+	0.0621777i
$693$	−2.03096e9	−	8.41251e8i	−0.00880579	−	0.00364748i
$694$	−1.96191e11	+	1.09430e11i	−0.845748	+	0.471734i
$695$	5.79824e10	+	5.79824e10i	0.248517	+	0.248517i
$696$	−4.06928e10	−	1.12078e11i	−0.173412	−	0.477622i
$697$	−4.14335e10	−	4.14335e10i	−0.175558	−	0.175558i
$698$	3.00814e10	−	1.05963e11i	0.126729	−	0.446410i
$699$	7.32888e10	+	3.03572e10i	0.306993	+	0.127161i
$700$	−1.44878e11	−	6.12727e11i	−0.603406	−	2.55197i
$701$	−2.61228e11	+	1.08204e11i	−1.08180	+	0.448097i	−0.851141	−	0.524937i	$-0.824089\pi$
$701$	−2.61228e11	+	1.08204e11i	−1.08180	+	0.448097i	−0.230662	+	0.973034i	$0.574089\pi$
$702$	−2.95065e11	−	2.33434e11i	−1.21498	−	0.961204i
$703$		−	3.31427e11i		−	1.35696i
$704$	−4.89042e10	+	1.53344e10i	−0.199093	+	0.0624277i
$705$	5.71526e11			2.31355
$706$	−1.55067e11	+	1.96008e11i	−0.624168	+	0.788961i
$707$	9.99344e10	+	2.41263e11i	0.399979	+	0.965635i
$708$	5.88103e10	−	1.39055e10i	0.234056	−	0.0553420i
$709$	−8.80808e10	+	2.12646e11i	−0.348575	+	0.841534i	0.648214	+	0.761458i	$0.275516\pi$
$709$	−8.80808e10	+	2.12646e11i	−0.348575	+	0.841534i	−0.996789	+	0.0800759i	$0.974484\pi$
$710$	4.16059e11	+	1.18113e11i	1.63727	+	0.464797i
$711$	1.20960e10	−	1.20960e10i	0.0473328	−	0.0473328i
$712$	−8.80030e10	−	2.42383e11i	−0.342434	−	0.943151i
$713$	−8.09364e10	+	8.09364e10i	−0.313174	+	0.313174i
$714$	3.48820e10	+	6.25381e10i	0.134217	+	0.240631i
$715$	−6.22676e10	+	1.50327e11i	−0.238253	+	0.575193i
$716$	5.65067e10	+	7.83395e10i	0.215005	+	0.298077i
$717$	−1.85520e11	−	4.47885e11i	−0.701964	−	1.69469i
$718$	2.18332e10	+	1.87223e11i	0.0821522	+	0.704467i
$719$	−4.98016e11			−1.86349			−0.931746	−	0.363110i	$-0.881715\pi$
$719$	−4.98016e11			−1.86349			−0.931746	+	0.363110i	$0.881715\pi$
$720$	−2.01353e10	−	1.74379e10i	−0.0749251	−	0.0648879i
$721$			7.07709e9i			0.0261887i
$722$	4.48771e10	+	3.84828e11i	0.165149	+	1.41618i
$723$	−3.07155e11	+	1.27228e11i	−1.12410	+	0.465617i
$724$	4.43744e9	−	2.74070e10i	0.0161502	−	0.0997488i
$725$	−3.84131e11	−	1.59112e11i	−1.39036	−	0.575907i
$726$	1.26139e11	+	2.26149e11i	0.454051	+	0.814043i
$727$	2.82151e10	+	2.82151e10i	0.101005	+	0.101005i	0.755804	−	0.654798i	$-0.227246\pi$
$727$	2.82151e10	+	2.82151e10i	0.101005	+	0.101005i	−0.654798	+	0.755804i	$0.727246\pi$
$728$	2.60733e11	+	2.84992e11i	0.928261	+	1.01463i
$729$	2.08714e11	+	2.08714e11i	0.738994	+	0.738994i
$730$	−5.77345e11	−	1.63900e11i	−2.03303	−	0.577147i
$731$	−1.79401e10	−	7.43104e9i	−0.0628283	−	0.0260243i
$732$	9.59577e10	−	1.55388e11i	0.334222	−	0.541218i
$733$	−6.22394e10	+	2.57804e10i	−0.215600	+	0.0893046i	−0.487870	−	0.872917i	$-0.662226\pi$
$733$	−6.22394e10	+	2.57804e10i	−0.215600	+	0.0893046i	0.272269	+	0.962221i	$0.412226\pi$
$734$	5.72185e10	−	7.23253e10i	0.197130	−	0.249176i
$735$			9.78553e10i			0.335301i
$736$	1.65429e11	−	1.08492e11i	0.563768	−	0.369732i
$737$	6.19237e10			0.209888
$738$	9.33205e9	+	7.38283e9i	0.0314595	+	0.0248884i
$739$	−6.43313e9	−	1.55309e10i	−0.0215697	−	0.0520739i	0.912728	−	0.408568i	$-0.133972\pi$
$739$	−6.43313e9	−	1.55309e10i	−0.0215697	−	0.0520739i	−0.934297	+	0.356494i	$0.883972\pi$
$740$	2.70611e11	−	4.38210e11i	0.902440	−	1.46135i
$741$	−2.65062e11	+	6.39916e11i	−0.879173	+	2.12251i
$742$	−4.72244e10	+	1.66351e11i	−0.155794	+	0.548793i
$743$	4.99248e9	−	4.99248e9i	0.0163818	−	0.0163818i	−0.698868	−	0.715250i	$-0.746313\pi$
$743$	4.99248e9	−	4.99248e9i	0.0163818	−	0.0163818i	0.715250	+	0.698868i	$0.246313\pi$
$744$	1.95965e11	+	8.71129e9i	0.639567	+	0.0284309i
$745$	5.90500e11	−	5.90500e11i	1.91688	−	1.91688i
$746$	8.71457e10	−	4.86074e10i	0.281378	−	0.156945i
$747$	−7.77155e9	+	1.87622e10i	−0.0249589	+	0.0602561i
$748$	3.24863e9	−	2.00646e10i	0.0103775	−	0.0640949i
$749$	1.81616e11	+	4.38461e11i	0.577069	+	1.39317i
$750$	1.13889e12	−	1.32812e11i	3.59945	−	0.419753i
$751$	−2.52413e11			−0.793509			−0.396754	−	0.917925i	$-0.629863\pi$
$751$	−2.52413e11			−0.793509			−0.396754	+	0.917925i	$0.629863\pi$
$752$	−3.44330e11	+	1.72474e11i	−1.07672	+	0.539329i
$753$		−	2.72843e11i		−	0.848659i
$754$	2.53361e11	−	2.95459e10i	0.783888	−	0.0914138i
$755$	−2.37114e11	+	9.82159e10i	−0.729743	+	0.302269i
$756$	−1.77704e11	−	2.46365e11i	−0.544015	−	0.754208i
$757$	4.28969e10	+	1.77685e10i	0.130630	+	0.0541086i	0.447041	−	0.894514i	$-0.352478\pi$
$757$	4.28969e10	+	1.77685e10i	0.130630	+	0.0541086i	−0.316411	+	0.948622i	$0.602478\pi$
$758$	−5.43171e11	+	3.02966e11i	−1.64536	+	0.917734i
$759$	3.21703e10	+	3.21703e10i	0.0969366	+	0.0969366i
$760$	−4.33641e11	+	9.28029e11i	−1.29980	+	2.78168i
$761$	−9.38203e10	−	9.38203e10i	−0.279742	−	0.279742i	0.553264	−	0.833006i	$-0.313382\pi$
$761$	−9.38203e10	−	9.38203e10i	−0.279742	−	0.279742i	−0.833006	+	0.553264i	$0.813382\pi$
$762$	9.86780e10	−	3.47599e11i	0.292685	−	1.03100i
$763$	3.15260e11	+	1.30585e11i	0.930187	+	0.385296i
$764$	1.71258e11	−	4.04935e10i	0.502663	−	0.118854i
$765$	9.75961e9	−	4.04256e9i	0.0284962	−	0.0118035i
$766$	9.42053e9	+	7.45283e9i	0.0273628	+	0.0216474i
$767$			1.29279e11i			0.373548i
$768$	−3.28547e11	−	8.36694e10i	−0.944394	−	0.240504i
$769$	−4.51568e11			−1.29127			−0.645636	−	0.763645i	$-0.723408\pi$
$769$	−4.51568e11			−1.29127			−0.645636	+	0.763645i	$0.723408\pi$
$770$	−8.15083e10	+	1.03028e11i	−0.231867	+	0.293085i
$771$	1.36128e11	+	3.28641e11i	0.385237	+	0.930045i
$772$	3.63543e10	+	1.53752e11i	0.102350	+	0.432864i
$773$	1.08881e11	−	2.62863e11i	0.304955	−	0.736227i	−0.694898	−	0.719108i	$-0.744551\pi$
$773$	1.08881e11	−	2.62863e11i	0.304955	−	0.736227i	0.999853	−	0.0171190i	$-0.00544941\pi$
$774$	3.79344e9	+	1.07690e9i	0.0105699	+	0.00300062i
$775$	4.83666e11	−	4.83666e11i	1.34072	−	1.34072i
$776$	−2.80418e11	−	1.31031e11i	−0.773320	−	0.361350i
$777$	1.98819e11	−	1.98819e11i	0.545475	−	0.545475i
$778$	9.03161e10	+	1.61923e11i	0.246517	+	0.441967i
$779$	1.75117e11	−	4.22770e11i	0.475531	−	1.14803i
$780$	−8.72956e11	+	6.29668e11i	−2.35838	+	1.70111i
$781$	−2.56478e10	−	6.19191e10i	−0.0689359	−	0.166426i
$782$	9.08780e9	+	7.79293e10i	0.0243014	+	0.208388i
$783$	−2.00597e11			−0.533676
$784$	−2.95307e10	−	5.89554e10i	−0.0781644	−	0.156048i
$785$		−	9.52988e11i		−	2.50963i
$786$	−2.12908e10	−	1.82571e11i	−0.0557829	−	0.478347i
$787$	1.03895e11	−	4.30348e10i	0.270830	−	0.112181i	−0.243136	−	0.969992i	$-0.578176\pi$
$787$	1.03895e11	−	4.30348e10i	0.270830	−	0.112181i	0.513965	+	0.857811i	$0.328176\pi$
$788$	−3.95211e11	−	6.39880e10i	−1.02500	−	0.165956i
$789$	4.05411e11	+	1.67927e11i	1.04613	+	0.433323i
$790$	−4.97974e11	−	8.92791e11i	−1.27849	−	2.29214i
$791$	4.37436e10	+	4.37436e10i	0.111740	+	0.111740i
$792$	−1.83307e8	+	4.12358e9i	−0.000465885	+	0.0104803i
$793$	2.76258e11	+	2.76258e11i	0.698591	+	0.698591i
$794$	6.97841e11	+	1.98107e11i	1.75580	+	0.498444i
$795$	−4.45182e11	−	1.84400e11i	−1.11447	−	0.461629i
$796$	4.32180e11	+	2.66887e11i	1.07649	+	0.664776i
$797$	−3.32050e11	+	1.37540e11i	−0.822945	+	0.340875i	−0.754106	−	0.656753i	$-0.771929\pi$
$797$	−3.32050e11	+	1.37540e11i	−0.822945	+	0.340875i	−0.0688389	+	0.997628i	$0.521929\pi$
$798$	−3.46966e11	+	4.38572e11i	−0.855609	+	1.08151i
$799$		−	1.52730e11i		−	0.374746i
$800$	−9.88583e11	+	6.48336e11i	−2.41353	+	1.58285i
$801$	−2.07674e10			−0.0504490
$802$	−1.02204e10	−	8.08562e9i	−0.0247042	−	0.0195441i
$803$	3.55902e10	+	8.59223e10i	0.0855989	+	0.206654i
$804$	3.48528e11	+	2.15229e11i	0.834090	+	0.515082i
$805$	1.94055e11	−	4.68490e11i	0.462106	−	1.11562i
$806$	−1.14599e11	+	4.03680e11i	−0.271544	+	0.956527i
$807$	−8.90265e10	+	8.90265e10i	−0.209906	+	0.209906i
$808$	3.61774e11	−	3.30979e11i	0.848775	−	0.776525i
$809$	2.05650e11	−	2.05650e11i	0.480104	−	0.480104i	−0.425061	−	0.905165i	$-0.639747\pi$
$809$	2.05650e11	−	2.05650e11i	0.480104	−	0.480104i	0.905165	+	0.425061i	$0.139747\pi$
$810$	7.01982e11	−	3.91546e11i	1.63074	−	0.909584i
$811$	1.39301e11	−	3.36302e11i	0.322010	−	0.777402i	−0.677127	−	0.735866i	$-0.736775\pi$
$811$	1.39301e11	−	3.36302e11i	0.322010	−	0.777402i	0.999137	−	0.0415353i	$-0.0132249\pi$
$812$	2.03297e11	+	3.29156e10i	0.467635	+	0.0757142i
$813$	1.60096e11	+	3.86505e11i	0.366452	+	0.884693i
$814$	−7.92731e10	+	9.24451e9i	−0.180563	+	0.0210565i
$815$	−2.47809e11			−0.561677
$816$	8.80230e10	−	1.01639e11i	0.198534	−	0.229245i
$817$		−	1.51646e11i		−	0.340364i
$818$	6.42125e9	−	7.48820e8i	0.0143419	−	0.00167249i
$819$	2.87406e10	−	1.19047e10i	0.0638792	−	0.0264596i
$820$	5.76731e11	−	4.15999e11i	1.27561	−	0.920105i
$821$	6.41030e10	+	2.65523e10i	0.141093	+	0.0584426i	0.452113	−	0.891961i	$-0.350670\pi$
$821$	6.41030e10	+	2.65523e10i	0.141093	+	0.0584426i	−0.311020	+	0.950403i	$0.600670\pi$
$822$	8.35259e10	−	4.65884e10i	0.182951	−	0.102045i
$823$	2.35793e10	+	2.35793e10i	0.0513963	+	0.0513963i	0.732338	−	0.680942i	$-0.238429\pi$
$823$	2.35793e10	+	2.35793e10i	0.0513963	+	0.0513963i	−0.680942	+	0.732338i	$0.738429\pi$
$824$	1.24906e10	−	4.53501e9i	0.0270940	−	0.00983716i
$825$	−1.92245e11	−	1.92245e11i	−0.414993	−	0.414993i
$826$	−2.85048e10	+	1.00410e11i	−0.0612346	+	0.215702i
$827$	−1.86111e11	−	7.70896e10i	−0.397878	−	0.164806i	0.174767	−	0.984610i	$-0.444083\pi$
$827$	−1.86111e11	−	7.70896e10i	−0.397878	−	0.164806i	−0.572645	+	0.819803i	$0.694083\pi$
$828$	−3.66615e9	−	1.55051e10i	−0.00779989	−	0.0329878i
$829$	−1.17223e11	+	4.85553e10i	−0.248196	+	0.102806i	−0.503313	−	0.864104i	$-0.667886\pi$
$829$	−1.17223e11	+	4.85553e10i	−0.248196	+	0.102806i	0.255118	+	0.966910i	$0.417886\pi$
$830$	9.51784e11	+	7.52981e11i	2.00551	+	1.58661i
$831$			7.98352e11i			1.67413i
$832$	3.35914e11	−	6.42799e11i	0.701026	−	1.34147i
$833$	2.61501e10			0.0543116
$834$	5.21518e10	−	6.59209e10i	0.107797	−	0.136257i
$835$	4.80838e10	+	1.16084e11i	0.0989128	+	0.238797i
$836$	1.54475e11	−	3.65252e10i	0.316251	−	0.0747769i
$837$	1.26288e11	−	3.04885e11i	0.257311	−	0.621204i
$838$	5.00900e11	+	1.42198e11i	1.01572	+	0.288348i
$839$	−4.97071e11	+	4.97071e11i	−1.00316	+	1.00316i	−0.00316639	+	0.999995i	$0.501008\pi$
$839$	−4.97071e11	+	4.97071e11i	−1.00316	+	1.00316i	−0.999995	+	0.00316639i	$0.998992\pi$
$840$	−8.16852e11	+	2.96578e11i	−1.64069	+	0.595692i
$841$	−2.57562e11	+	2.57562e11i	−0.514870	+	0.514870i
$842$	−2.45591e11	−	4.40307e11i	−0.488612	−	0.876006i
$843$	2.35563e11	−	5.68699e11i	0.466441	−	1.12609i
$844$	−4.44396e11	−	6.16100e11i	−0.875791	−	1.21418i
$845$	−4.96542e11	−	1.19876e12i	−0.973932	−	2.35128i
$846$	3.59255e9	+	3.08067e10i	0.00701329	+	0.0601400i
$847$	−4.47253e11			−0.869000
$848$	3.23859e11	−	2.32500e10i	0.626286	−	0.0449613i
$849$			1.18737e11i			0.228536i
$850$	−5.43076e10	−	4.65696e11i	−0.104036	−	0.892126i
$851$	2.84616e11	−	1.17892e11i	0.542676	−	0.224784i
$852$	7.08587e10	−	4.37646e11i	0.134473	−	0.830547i
$853$	1.57199e11	+	6.51140e10i	0.296930	+	0.122992i	0.526175	−	0.850376i	$-0.323626\pi$
$853$	1.57199e11	+	6.51140e10i	0.296930	+	0.122992i	−0.229245	+	0.973369i	$0.573626\pi$
$854$	1.53655e11	+	2.75479e11i	0.288878	+	0.517914i
$855$	5.83342e10	+	5.83342e10i	0.109159	+	0.109159i
$856$	6.57473e11	−	6.01507e11i	1.22457	−	1.12033i
$857$	−5.83035e10	−	5.83035e10i	−0.108086	−	0.108086i	0.650995	−	0.759082i	$-0.274352\pi$
$857$	−5.83035e10	−	5.83035e10i	−0.108086	−	0.108086i	−0.759082	+	0.650995i	$0.774352\pi$
$858$	1.60453e11	+	4.55502e10i	0.296073	+	0.0840507i
$859$	−1.28189e11	−	5.30974e10i	−0.235438	−	0.0975216i	0.261845	−	0.965110i	$-0.415669\pi$
$859$	−1.28189e11	−	5.30974e10i	−0.235438	−	0.0975216i	−0.497283	+	0.867588i	$0.665669\pi$
$860$	1.23820e11	−	2.00505e11i	0.226358	−	0.366549i
$861$	3.58666e11	−	1.48564e11i	0.652646	−	0.270335i
$862$	−3.10332e11	+	3.92266e11i	−0.562079	+	0.710480i
$863$		−	9.20227e11i		−	1.65902i	−0.558491	−	0.829510i	$-0.688620\pi$
$863$		−	9.20227e11i		−	1.65902i	0.558491	−	0.829510i	$-0.311380\pi$
$864$	−3.20943e11	+	4.71507e11i	−0.575935	+	0.846122i
$865$	1.17303e11			0.209529
$866$	3.29033e11	+	2.60306e11i	0.585016	+	0.462821i
$867$	−1.90318e11	−	4.59468e11i	−0.336824	−	0.813166i
$868$	−1.78015e11	+	2.88266e11i	−0.313601	+	0.507826i
$869$	−6.06225e10	+	1.46356e11i	−0.106305	+	0.256643i
$870$	−1.56722e11	+	5.52060e11i	−0.273559	+	0.963628i
$871$	−6.19635e11	+	6.19635e11i	−1.07662	+	1.07662i
$872$	2.84542e10	−	6.40091e11i	0.0492131	−	1.10707i
$873$	−1.76266e10	+	1.76266e10i	−0.0303467	+	0.0303467i
$874$	−5.35101e11	+	2.98464e11i	−0.917044	+	0.511501i
$875$	−7.57867e11	+	1.82965e12i	−1.29289	+	3.12131i
$876$	−9.83273e10	+	6.07301e11i	−0.166977	+	1.03131i
$877$	3.84159e11	+	9.27443e11i	0.649401	+	1.56779i	0.813638	+	0.581372i	$0.197484\pi$
$877$	3.84159e11	+	9.27443e11i	0.649401	+	1.56779i	−0.164237	+	0.986421i	$0.552516\pi$
$878$	2.19443e11	−	2.55906e10i	0.369270	−	0.0430627i
$879$	7.81192e11			1.30859
$880$	2.34068e11	+	7.78358e10i	0.390312	+	0.129792i
$881$			3.97273e11i			0.659456i	0.944076	+	0.329728i	$0.106957\pi$
$881$			3.97273e11i			0.659456i	−0.944076	+	0.329728i	$0.893043\pi$
$882$	−5.27465e9	+	6.15109e8i	−0.00871604	+	0.00101643i
$883$	9.87781e11	−	4.09152e11i	1.62487	−	0.673042i	0.630225	−	0.776413i	$-0.282963\pi$
$883$	9.87781e11	−	4.09152e11i	1.62487	−	0.673042i	0.994643	+	0.103371i	$0.0329628\pi$
$884$	1.68268e11	+	2.33282e11i	0.275544	+	0.382008i
$885$	−2.68713e11	−	1.11304e11i	−0.438041	−	0.181443i
$886$	−7.03291e11	+	3.92276e11i	−1.14130	+	0.636586i
$887$	6.29783e11	+	6.29783e11i	1.01741	+	1.01741i	0.999846	+	0.0175650i	$0.00559140\pi$
$887$	6.29783e11	+	6.29783e11i	1.01741	+	1.01741i	0.0175650	+	0.999846i	$0.494409\pi$
$888$	−4.78307e11	−	2.23499e11i	−0.769227	−	0.359437i
$889$	4.41299e11	+	4.41299e11i	0.706523	+	0.706523i
$890$	−3.38929e11	+	1.19390e12i	−0.540193	+	1.90286i
$891$	−1.15076e11	−	4.76661e10i	−0.182589	−	0.0756308i
$892$	−2.23702e11	+	5.28938e10i	−0.353354	+	0.0835498i
$893$	1.10195e12	−	4.56442e11i	1.73283	−	0.717760i
$894$	−6.71347e11	−	5.31120e11i	−1.05099	−	0.831462i
$895$		−	4.64889e11i		−	0.724531i
$896$	4.02631e11	−	4.25190e11i	0.624706	−	0.659706i
$897$	−6.43819e11			−0.994475
$898$	−5.72313e10	+	7.23415e10i	−0.0880092	+	0.111245i
$899$	8.56190e10	+	2.06703e11i	0.131079	+	0.316452i
$900$	2.19084e10	+	9.26566e10i	0.0333919	+	0.141223i
$901$	−4.92776e10	+	1.18967e11i	−0.0747740	+	0.180520i
$902$	−1.06006e11	−	3.00934e10i	−0.160141	−	0.0454617i
$903$	9.09709e10	−	9.09709e10i	0.136821	−	0.136821i
$904$	4.91734e10	−	1.05235e11i	0.0736303	−	0.157575i
$905$	−9.44872e10	+	9.44872e10i	−0.140857	+	0.140857i
$906$	1.28155e11	+	2.29763e11i	0.190206	+	0.341010i
$907$	−2.37448e11	+	5.73251e11i	−0.350865	+	0.847063i	0.645649	+	0.763635i	$0.276587\pi$
$907$	−2.37448e11	+	5.73251e11i	−0.350865	+	0.847063i	−0.996514	+	0.0834287i	$0.973413\pi$
$908$	−2.42701e11	+	1.75062e11i	−0.357050	+	0.257542i
$909$	−1.51121e10	−	3.64838e10i	−0.0221345	−	0.0534373i
$910$	−2.15337e11	−	1.84655e12i	−0.314017	−	2.69275i
$911$	1.03436e11			0.150176			0.0750879	−	0.997177i	$-0.476076\pi$
$911$	1.03436e11			0.150176			0.0750879	+	0.997177i	$0.476076\pi$
$912$	9.96387e11	+	3.31333e11i	1.44029	+	0.478945i
$913$		−	1.88065e11i		−	0.270660i
$914$	−5.04564e10	−	4.32671e11i	−0.0722988	−	0.619973i
$915$	−8.12065e11	+	3.36368e11i	−1.15853	+	0.479878i
$916$	−8.84973e11	−	1.43285e11i	−1.25704	−	0.203525i
$917$	2.93306e11	+	1.21491e11i	0.414805	+	0.171818i
$918$	−1.10188e11	−	1.97550e11i	−0.155154	−	0.278167i
$919$	−4.69658e11	−	4.69658e11i	−0.658446	−	0.658446i	0.296567	−	0.955012i	$-0.404158\pi$
$919$	−4.69658e11	−	4.69658e11i	−0.658446	−	0.658446i	−0.955012	+	0.296567i	$0.904158\pi$
$920$	−9.51204e11	−	4.22842e10i	−1.32777	−	0.0590238i
$921$	−3.77440e11	−	3.77440e11i	−0.524577	−	0.524577i
$922$	−1.15323e12	−	3.27383e11i	−1.59585	−	0.453036i
$923$	8.76232e11	+	3.62947e11i	1.20729	+	0.500077i
$924$	1.14579e11	+	7.07567e10i	0.157187	+	0.0970688i
$925$	−1.70083e12	+	7.04506e11i	−2.32324	+	0.962316i
$926$	3.91144e11	−	4.94414e11i	0.531977	−	0.672430i
$927$		−	1.07020e9i		−	0.00144926i
$928$	−7.21795e10	−	3.79898e11i	−0.0973244	−	0.512242i
$929$	−8.86107e10			−0.118966			−0.0594830	−	0.998229i	$-0.518945\pi$
$929$	−8.86107e10			−0.118966			−0.0594830	+	0.998229i	$0.518945\pi$
$930$	−7.40404e11	−	5.85753e11i	−0.989776	−	0.783037i
$931$	7.81509e10	+	1.88673e11i	0.104024	+	0.251137i
$932$	2.18891e11	+	1.35173e11i	0.290110	+	0.179154i
$933$	9.40056e10	−	2.26950e11i	0.124059	−	0.299504i
$934$	2.74345e11	−	9.66396e11i	0.360504	−	1.26989i
$935$	−6.91736e10	+	6.91736e10i	−0.0905095	+	0.0905095i
$936$	−3.94281e10	−	4.30966e10i	−0.0513691	−	0.0561486i
$937$	−8.58754e11	+	8.58754e11i	−1.11406	+	1.11406i	−0.121469	+	0.992595i	$0.538761\pi$
$937$	−8.58754e11	+	8.58754e11i	−1.11406	+	1.11406i	−0.992595	+	0.121469i	$0.961239\pi$
$938$	−6.17888e11	+	3.44641e11i	−0.798175	+	0.445200i
$939$	−7.69573e10	+	1.85791e11i	−0.0989891	+	0.238981i
$940$	1.82967e12	+	2.96240e11i	2.34348	+	0.379431i
$941$	3.04842e11	+	7.35954e11i	0.388791	+	0.938625i	0.990197	+	0.139681i	$0.0446077\pi$
$941$	3.04842e11	+	7.35954e11i	0.388791	+	0.938625i	−0.601405	+	0.798944i	$0.705392\pi$
$942$	−9.70311e11	+	1.13154e11i	−1.23227	+	0.143703i
$943$	4.25348e11			0.537896
$944$	1.95482e11	−	1.40337e10i	0.246161	−	0.0176720i
$945$			1.46200e12i			1.83324i
$946$	−3.62718e10	+	4.22987e9i	−0.0452903	+	0.00528157i
$947$	5.46632e11	−	2.26422e11i	0.679665	−	0.281526i	−0.0160218	−	0.999872i	$-0.505100\pi$
$947$	5.46632e11	−	2.26422e11i	0.679665	−	0.281526i	0.695687	+	0.718345i	$0.255100\pi$
$948$	−8.49893e11	+	6.13032e11i	−1.05228	+	0.759014i
$949$	−1.21591e12	−	5.03645e11i	−1.49912	−	0.620954i
$950$	3.19770e12	−	1.78359e12i	3.92593	−	2.18978i
$951$	−4.55267e11	−	4.55267e11i	−0.556601	−	0.556601i
$952$	7.92552e10	+	2.18289e11i	0.0964895	+	0.265756i
$953$	−7.79498e10	−	7.79498e10i	−0.0945026	−	0.0945026i	0.658275	−	0.752778i	$-0.271286\pi$
$953$	−7.79498e10	−	7.79498e10i	−0.0945026	−	0.0945026i	−0.752778	+	0.658275i	$0.771286\pi$
$954$	7.14128e9	−	2.51556e10i	0.00862149	−	0.0303697i
$955$	−7.82502e11	−	3.24123e11i	−0.940745	−	0.389669i
$956$	−3.61768e11	−	1.53001e12i	−0.433110	−	1.83174i
$957$	8.21593e10	−	3.40315e10i	0.0979510	−	0.0405727i
$958$	−1.78467e11	−	1.41190e11i	−0.211883	−	0.167626i
$959$			1.65189e11i			0.195302i
$960$	1.04688e12	+	1.25164e12i	1.23257	+	1.47365i
$961$	4.84824e11			0.568448
$962$	7.00736e11	−	8.85745e11i	0.818189	−	1.03421i
$963$	−2.74640e10	−	6.63041e10i	−0.0319344	−	0.0770966i
$964$	−1.04927e12	+	2.48097e11i	−1.21501	+	0.287285i
$965$	2.90991e11	−	7.02516e11i	0.335561	−	0.810115i
$966$	−5.00047e11	−	1.41956e11i	−0.574252	−	0.163021i
$967$	9.36547e11	−	9.36547e11i	1.07108	−	1.07108i	0.0738119	−	0.997272i	$-0.476484\pi$
$967$	9.36547e11	−	9.36547e11i	1.07108	−	1.07108i	0.997272	−	0.0738119i	$-0.0235164\pi$
$968$	2.86601e11	+	7.89371e11i	0.326419	+	0.899041i
$969$	−2.94460e11	+	2.94460e11i	−0.333988	+	0.333988i
$970$	7.25662e11	+	1.30100e12i	0.819686	+	1.46957i
$971$	1.09324e11	−	2.63931e11i	0.122981	−	0.296902i	−0.850384	−	0.526162i	$-0.823631\pi$
$971$	1.09324e11	−	2.63931e11i	0.122981	−	0.296902i	0.973365	+	0.229260i	$0.0736306\pi$
$972$	5.24585e10	+	7.27271e10i	0.0587693	+	0.0814763i
$973$	5.55581e10	+	1.34129e11i	0.0619863	+	0.149648i
$974$	1.41684e11	+	1.21496e12i	0.157429	+	1.34998i
$975$	3.84738e12			4.25742
$976$	3.87740e11	−	4.47718e11i	0.427308	−	0.493407i
$977$		−	8.00171e10i		−	0.0878223i	−0.999035	−	0.0439111i	$-0.986018\pi$
$977$		−	8.00171e10i		−	0.0878223i	0.999035	−	0.0439111i	$-0.0139818\pi$
$978$	2.94238e10	+	2.52313e11i	0.0321620	+	0.275794i
$979$	1.77679e11	−	7.35972e10i	0.193422	−	0.0801181i
$980$	−5.07215e10	+	3.13272e11i	−0.0549905	+	0.339639i
$981$	−4.76736e10	−	1.97471e10i	−0.0514757	−	0.0213219i
$982$	−2.32042e11	−	4.16015e11i	−0.249528	−	0.447366i
$983$	−8.04854e11	−	8.04854e11i	−0.861991	−	0.861991i	0.129578	−	0.991569i	$-0.458638\pi$
$983$	−8.04854e11	−	8.04854e11i	−0.861991	−	0.861991i	−0.991569	+	0.129578i	$0.958638\pi$
$984$	−4.92040e11	−	5.37821e11i	−0.524832	−	0.573663i
$985$	1.36251e12	+	1.36251e12i	1.44742	+	1.44742i
$986$	1.47528e11	+	4.18810e10i	0.156087	+	0.0443108i
$987$	9.34862e11	+	3.87232e11i	0.985096	+	0.408040i
$988$	−1.18025e12	+	1.91123e12i	−1.23865	+	2.00579i
$989$	1.30227e11	−	5.39420e10i	0.136119	−	0.0563822i
$990$	1.23257e10	−	1.55799e10i	0.0128313	−	0.0162190i
$991$		−	4.52518e11i		−	0.469181i	−0.972094	−	0.234591i	$-0.924625\pi$
$991$		−	4.52518e11i		−	0.469181i	0.972094	−	0.234591i	$-0.0753750\pi$
$992$	6.22843e11	+	1.29463e11i	0.643179	+	0.133690i
$993$	1.13845e12			1.17089
$994$	6.00533e11	+	4.75098e11i	0.615165	+	0.486673i
$995$	−9.35541e11	−	2.25860e12i	−0.954488	−	2.30434i
$996$	6.53657e11	−	1.05849e12i	0.664221	−	1.07560i
$997$	−9.89756e10	+	2.38948e11i	−0.100172	+	0.241837i	−0.966018	−	0.258473i	$-0.916781\pi$
$997$	−9.89756e10	+	2.38948e11i	−0.100172	+	0.241837i	0.865846	+	0.500310i	$0.166781\pi$
$998$	−8.88684e10	+	3.13044e11i	−0.0895830	+	0.315561i
$999$	−6.28045e11	+	6.28045e11i	−0.630563	+	0.630563i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	32.9.h.a.11.10	yes	124
32.3	odd	8	inner	32.9.h.a.3.10	✓	124

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
32.9.h.a.3.10	✓	124	32.3	odd	8	inner
32.9.h.a.11.10	yes	124	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 32 = 2^{5} \)
Weight:	\( k \)	\(=\)	\( 9 \)
Character orbit:	\([\chi]\)	\(=\)	32.h (of order \(8\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-9.92708 + 12.5480i) q^{2} +(-30.2081 - 72.9287i) q^{3} +(-58.9063 - 249.131i) q^{4} +(-471.505 + 1138.31i) q^{5} +(1214.99 + 344.917i) q^{6} +(-1542.51 + 1542.51i) q^{7} +(3710.87 + 1733.98i) q^{8} +(233.258 - 233.258i) q^{9} +O(q^{10})\)	\(q+(-9.92708 + 12.5480i) q^{2} +(-30.2081 - 72.9287i) q^{3} +(-58.9063 - 249.131i) q^{4} +(-471.505 + 1138.31i) q^{5} +(1214.99 + 344.917i) q^{6} +(-1542.51 + 1542.51i) q^{7} +(3710.87 + 1733.98i) q^{8} +(233.258 - 233.258i) q^{9} +(-9602.93 - 17216.6i) q^{10} +(-1169.04 + 2822.32i) q^{11} +(-16389.3 + 11821.7i) q^{12} +(-16543.4 - 39939.3i) q^{13} +(-4042.85 - 34668.1i) q^{14} +97259.0 q^{15} +(-58596.1 + 29350.7i) q^{16} -25990.7i q^{17} +(611.360 + 5242.51i) q^{18} +(187523. - 77674.6i) q^{19} +(311363. + 50412.4i) q^{20} +(159089. + 65897.0i) q^{21} +(-23809.4 - 42686.6i) q^{22} +(133408. + 133408. i) q^{23} +(14358.8 - 323009. i) q^{24} +(-797227. - 797227. i) q^{25} +(665387. + 188893. i) q^{26} +(-502543. - 208160. i) q^{27} +(475150. + 293423. i) q^{28} +(340708. - 141126. i) q^{29} +(-965497. + 1.22041e6i) q^{30} +606685. i q^{31} +(213394. - 1.02663e6i) q^{32} +241143. q^{33} +(326132. + 258012. i) q^{34} +(-1.02856e6 - 2.48316e6i) q^{35} +(-71852.2 - 44371.4i) q^{36} +(624867. - 1.50856e6i) q^{37} +(-886893. + 3.12413e6i) q^{38} +(-2.41298e6 + 2.41298e6i) q^{39} +(-3.72350e6 + 3.40655e6i) q^{40} +(1.59417e6 - 1.59417e6i) q^{41} +(-2.40617e6 + 1.34209e6i) q^{42} +(285911. - 690251. i) q^{43} +(771990. + 124992. i) q^{44} +(155539. + 375504. i) q^{45} +(-2.99835e6 + 349656. i) q^{46} +5.87633e6 q^{47} +(3.91058e6 + 3.38671e6i) q^{48} +1.00613e6i q^{49} +(1.79178e7 - 2.08950e6i) q^{50} +(-1.89547e6 + 785129. i) q^{51} +(-8.97559e6 + 6.47414e6i) q^{52} +(-4.57728e6 - 1.89597e6i) q^{53} +(7.60078e6 - 4.23950e6i) q^{54} +(-2.66148e6 - 2.66148e6i) q^{55} +(-8.39873e6 + 3.04937e6i) q^{56} +(-1.13294e7 - 1.13294e7i) q^{57} +(-1.61138e6 + 5.67619e6i) q^{58} +(-2.76286e6 - 1.14441e6i) q^{59} +(-5.72917e6 - 2.42302e7i) q^{60} +(-8.34951e6 + 3.45848e6i) q^{61} +(-7.61270e6 - 6.02261e6i) q^{62} +719606. i q^{63} +(1.07638e7 + 1.28691e7i) q^{64} +5.32637e7 q^{65} +(-2.39384e6 + 3.02587e6i) q^{66} +(-7.75722e6 - 1.87276e7i) q^{67} +(-6.47508e6 + 1.53102e6i) q^{68} +(5.69926e6 - 1.37592e7i) q^{69} +(4.13694e7 + 1.17441e7i) q^{70} +(-1.55133e7 + 1.55133e7i) q^{71} +(1.27006e6 - 461125. i) q^{72} +(2.15271e7 - 2.15271e7i) q^{73} +(1.27264e7 + 2.28165e7i) q^{74} +(-3.40581e7 + 8.22234e7i) q^{75} +(-3.03974e7 - 4.21422e7i) q^{76} +(-2.55019e6 - 6.15671e6i) q^{77} +(-6.32431e6 - 5.42319e7i) q^{78} +5.18565e7 q^{79} +(-5.78199e6 - 8.05397e7i) q^{80} +4.07736e7i q^{81} +(4.17825e6 + 3.58291e7i) q^{82} +(-5.68763e7 + 2.35589e7i) q^{83} +(7.04559e6 - 4.35158e7i) q^{84} +(2.95856e7 + 1.22547e7i) q^{85} +(5.82303e6 + 1.04398e7i) q^{86} +(-2.05843e7 - 2.05843e7i) q^{87} +(-9.23201e6 + 8.44615e6i) q^{88} +(-4.45160e7 - 4.45160e7i) q^{89} +(-6.25588e6 - 1.77595e6i) q^{90} +(8.71251e7 + 3.60884e7i) q^{91} +(2.53774e7 - 4.10945e7i) q^{92} +(4.42447e7 - 1.83268e7i) q^{93} +(-5.83348e7 + 7.37364e7i) q^{94} +2.50084e8i q^{95} +(-8.13172e7 + 1.54500e7i) q^{96} -7.55667e7 q^{97} +(-1.26250e7 - 9.98794e6i) q^{98} +(385641. + 931019. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 124 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 4 q^{6} - 4 q^{7} - 4 q^{8} - 4 q^{9}+O(q^{10}) \) 124 * q - 4 * q^2 - 4 * q^3 - 4 * q^4 - 4 * q^5 - 4 * q^6 - 4 * q^7 - 4 * q^8 - 4 * q^9	\( 124 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 4 q^{6} - 4 q^{7} - 4 q^{8} - 4 q^{9} + 34996 q^{10} - 4 q^{11} - 45364 q^{12} - 4 q^{13} + 145580 q^{14} - 8 q^{15} - 278384 q^{16} - 131224 q^{18} - 4 q^{19} + 689996 q^{20} - 4 q^{21} + 6048 q^{22} + 845564 q^{23} - 310832 q^{24} - 4 q^{25} + 1682096 q^{26} - 51076 q^{27} - 1807624 q^{28} - 4 q^{29} - 3968188 q^{30} + 2420456 q^{32} - 8 q^{33} + 4139280 q^{34} - 2415748 q^{35} - 2364816 q^{36} - 4 q^{37} - 4553644 q^{38} + 7650044 q^{39} - 14971800 q^{40} - 4 q^{41} + 17019656 q^{42} - 1859716 q^{43} + 13377860 q^{44} - 26248 q^{45} + 11790684 q^{46} - 8 q^{47} - 21819984 q^{48} - 49149676 q^{50} - 27697792 q^{51} - 33503196 q^{52} - 5358724 q^{53} + 82403296 q^{54} + 46326780 q^{55} + 87708200 q^{56} - 4 q^{57} - 37235424 q^{58} - 44938756 q^{59} - 167711176 q^{60} + 48952060 q^{61} + 23721528 q^{62} + 27135128 q^{64} - 8 q^{65} + 226680332 q^{66} + 93380476 q^{67} - 491760 q^{68} - 17273092 q^{69} - 167238952 q^{70} - 79832068 q^{71} - 184202092 q^{72} - 4 q^{73} + 28015148 q^{74} - 27399560 q^{75} + 201789948 q^{76} - 94964356 q^{77} + 473461108 q^{78} + 144406520 q^{79} - 447998920 q^{80} - 231632004 q^{82} - 140384644 q^{83} + 263072 q^{84} + 1562496 q^{85} + 268005440 q^{86} - 149712644 q^{87} + 220344096 q^{88} - 4 q^{89} + 51924392 q^{90} + 350400764 q^{91} - 622977496 q^{92} + 26240 q^{93} - 100742552 q^{94} + 101686144 q^{96} - 8 q^{97} + 721239576 q^{98} - 630043272 q^{99}+O(q^{100}) \) 124 * q - 4 * q^2 - 4 * q^3 - 4 * q^4 - 4 * q^5 - 4 * q^6 - 4 * q^7 - 4 * q^8 - 4 * q^9 + 34996 * q^10 - 4 * q^11 - 45364 * q^12 - 4 * q^13 + 145580 * q^14 - 8 * q^15 - 278384 * q^16 - 131224 * q^18 - 4 * q^19 + 689996 * q^20 - 4 * q^21 + 6048 * q^22 + 845564 * q^23 - 310832 * q^24 - 4 * q^25 + 1682096 * q^26 - 51076 * q^27 - 1807624 * q^28 - 4 * q^29 - 3968188 * q^30 + 2420456 * q^32 - 8 * q^33 + 4139280 * q^34 - 2415748 * q^35 - 2364816 * q^36 - 4 * q^37 - 4553644 * q^38 + 7650044 * q^39 - 14971800 * q^40 - 4 * q^41 + 17019656 * q^42 - 1859716 * q^43 + 13377860 * q^44 - 26248 * q^45 + 11790684 * q^46 - 8 * q^47 - 21819984 * q^48 - 49149676 * q^50 - 27697792 * q^51 - 33503196 * q^52 - 5358724 * q^53 + 82403296 * q^54 + 46326780 * q^55 + 87708200 * q^56 - 4 * q^57 - 37235424 * q^58 - 44938756 * q^59 - 167711176 * q^60 + 48952060 * q^61 + 23721528 * q^62 + 27135128 * q^64 - 8 * q^65 + 226680332 * q^66 + 93380476 * q^67 - 491760 * q^68 - 17273092 * q^69 - 167238952 * q^70 - 79832068 * q^71 - 184202092 * q^72 - 4 * q^73 + 28015148 * q^74 - 27399560 * q^75 + 201789948 * q^76 - 94964356 * q^77 + 473461108 * q^78 + 144406520 * q^79 - 447998920 * q^80 - 231632004 * q^82 - 140384644 * q^83 + 263072 * q^84 + 1562496 * q^85 + 268005440 * q^86 - 149712644 * q^87 + 220344096 * q^88 - 4 * q^89 + 51924392 * q^90 + 350400764 * q^91 - 622977496 * q^92 + 26240 * q^93 - 100742552 * q^94 + 101686144 * q^96 - 8 * q^97 + 721239576 * q^98 - 630043272 * q^99

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