LMFDB - Embedded newform 25.7.f.a.3.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [25,7,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, 7, names="a")

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

chi := DirichletCharacter("25.2");

S:= CuspForms(chi, 7);

N := Newforms(S);

Level:	$ N $	$=$	$ 25 = 5^{2} $
Weight:	$ k $	$=$	$ 7 $
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:	$5.75135209050$
Analytic rank:	$0$
Dimension:	$112$
Relative dimension:	$14$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			3.6
Character	$\chi$	$=$	25.3
Dual form			25.7.f.a.17.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-2.36346 - 4.63854i) q^{2} +(1.57805 + 9.96344i) q^{3} +(21.6881 - 29.8511i) q^{4} +(24.7920 + 122.517i) q^{5} +(42.4862 - 30.8680i) q^{6} +(325.037 - 325.037i) q^{7} +(-518.804 - 82.1705i) q^{8} +(596.540 - 193.828i) q^{9} +O(q^{10})$	\(q+(-2.36346 - 4.63854i) q^{2} +(1.57805 + 9.96344i) q^{3} +(21.6881 - 29.8511i) q^{4} +(24.7920 + 122.517i) q^{5} +(42.4862 - 30.8680i) q^{6} +(325.037 - 325.037i) q^{7} +(-518.804 - 82.1705i) q^{8} +(596.540 - 193.828i) q^{9} +(509.705 - 404.562i) q^{10} +(209.657 - 645.257i) q^{11} +(331.645 + 168.981i) q^{12} +(1304.49 - 2560.21i) q^{13} +(-2275.91 - 739.488i) q^{14} +(-1181.57 + 440.351i) q^{15} +(115.284 + 354.807i) q^{16} +(-438.042 + 2765.69i) q^{17} +(-2308.97 - 2308.97i) q^{18} +(6409.59 + 8822.04i) q^{19} +(4194.95 + 1917.09i) q^{20} +(3751.41 + 2725.56i) q^{21} +(-3488.56 + 552.534i) q^{22} +(-14997.8 + 7641.75i) q^{23} -5298.74i q^{24} +(-14395.7 + 6074.87i) q^{25} -14958.7 q^{26} +(6211.16 + 12190.1i) q^{27} +(-2653.28 - 16752.2i) q^{28} +(24277.7 - 33415.5i) q^{29} +(4835.17 + 4439.99i) q^{30} +(-3487.24 + 2533.63i) q^{31} +(-22397.7 + 22397.7i) q^{32} +(6759.82 + 1070.65i) q^{33} +(13864.0 - 4504.70i) q^{34} +(47880.8 + 31764.2i) q^{35} +(7151.85 - 22011.1i) q^{36} +(-39355.8 - 20052.8i) q^{37} +(25772.6 - 50581.6i) q^{38} +(27567.0 + 8957.07i) q^{39} +(-2794.91 - 65599.3i) q^{40} +(28574.1 + 87942.2i) q^{41} +(3776.33 - 23842.8i) q^{42} +(-65424.8 - 65424.8i) q^{43} +(-14714.6 - 20252.9i) q^{44} +(38536.6 + 68280.8i) q^{45} +(70893.2 + 51506.9i) q^{46} +(-85135.0 + 13484.1i) q^{47} +(-3353.17 + 1708.53i) q^{48} -93649.2i q^{49} +(62202.2 + 52417.5i) q^{50} -28247.0 q^{51} +(-48133.1 - 94466.5i) q^{52} +(12111.1 + 76466.6i) q^{53} +(41864.4 - 57621.4i) q^{54} +(84252.6 + 9689.26i) q^{55} +(-195339. + 141922. i) q^{56} +(-77783.2 + 77783.2i) q^{57} +(-212378. - 33637.4i) q^{58} +(-82924.3 + 26943.7i) q^{59} +(-12480.9 + 44821.4i) q^{60} +(-101917. + 313670. i) q^{61} +(19994.3 + 10187.6i) q^{62} +(130897. - 256899. i) q^{63} +(179536. + 58334.9i) q^{64} +(346009. + 96349.4i) q^{65} +(-11010.3 - 33886.2i) q^{66} +(-23531.2 + 148570. i) q^{67} +(73058.5 + 73058.5i) q^{68} +(-99805.4 - 137370. i) q^{69} +(34175.4 - 297170. i) q^{70} +(-91557.0 - 66520.0i) q^{71} +(-325414. + 51540.6i) q^{72} +(110881. - 56496.6i) q^{73} +229947. i q^{74} +(-83243.8 - 133844. i) q^{75} +402359. q^{76} +(-141586. - 277878. i) q^{77} +(-23605.7 - 149040. i) q^{78} +(264553. - 364125. i) q^{79} +(-40611.7 + 22920.6i) q^{80} +(258276. - 187648. i) q^{81} +(340390. - 340390. i) q^{82} +(-19393.2 - 3071.58i) q^{83} +(162722. - 52871.6i) q^{84} +(-349703. + 14899.4i) q^{85} +(-148847. + 458105. i) q^{86} +(371244. + 189158. i) q^{87} +(-161792. + 317534. i) q^{88} +(-221538. - 71982.0i) q^{89} +(225644. - 340132. i) q^{90} +(-408154. - 1.25617e6i) q^{91} +(-97158.6 + 613435. i) q^{92} +(-30746.7 - 30746.7i) q^{93} +(263759. + 363033. i) q^{94} +(-921941. + 1.00400e6i) q^{95} +(-258503. - 187814. i) q^{96} +(1.03232e6 - 163503. i) q^{97} +(-434396. + 221336. i) q^{98} -425559. i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 112 q - 40 q^{3} - 10 q^{4} + 60 q^{5} - 6 q^{6} - 560 q^{7} - 1870 q^{8} - 10 q^{9}+O(q^{10}) $ 112 * q - 40 * q^3 - 10 * q^4 + 60 * q^5 - 6 * q^6 - 560 * q^7 - 1870 * q^8 - 10 * q^9	\( 112 q - 40 q^{3} - 10 q^{4} + 60 q^{5} - 6 q^{6} - 560 q^{7} - 1870 q^{8} - 10 q^{9} + 4360 q^{10} - 6 q^{11} - 3490 q^{12} - 1970 q^{13} - 10 q^{14} + 80 q^{15} + 22522 q^{16} - 1210 q^{17} - 47740 q^{18} - 19210 q^{19} + 4290 q^{20} - 6 q^{21} + 116790 q^{22} + 68920 q^{23} - 83690 q^{25} + 32544 q^{26} - 147970 q^{27} - 191010 q^{28} - 24810 q^{29} + 128390 q^{30} - 6 q^{31} + 335470 q^{32} + 133250 q^{33} + 32990 q^{34} - 126400 q^{35} - 156358 q^{36} + 64990 q^{37} - 26320 q^{38} - 414810 q^{39} - 609460 q^{40} + 108554 q^{41} - 345630 q^{42} + 228280 q^{43} + 711540 q^{44} + 1026100 q^{45} - 6 q^{46} + 470440 q^{47} + 948520 q^{48} - 453750 q^{50} - 16 q^{51} - 1534020 q^{52} - 922770 q^{53} - 2582460 q^{54} - 1058910 q^{55} - 16390 q^{56} + 283510 q^{57} + 1902200 q^{58} + 2457990 q^{59} + 4557170 q^{60} - 388446 q^{61} - 686820 q^{62} - 2340440 q^{63} - 5040460 q^{64} - 1346350 q^{65} + 186618 q^{66} + 913000 q^{67} + 3094930 q^{68} + 2802790 q^{69} + 3485630 q^{70} - 758886 q^{71} + 3144300 q^{72} + 74290 q^{73} - 890640 q^{75} - 16400 q^{76} - 3146750 q^{77} - 5681900 q^{78} - 2289610 q^{79} - 6528330 q^{80} + 1577702 q^{81} + 1401150 q^{82} + 26480 q^{83} - 1650010 q^{84} - 3408980 q^{85} - 6 q^{86} - 735210 q^{87} + 2183870 q^{88} + 2906240 q^{89} + 3580070 q^{90} - 6 q^{91} + 1367450 q^{92} + 5352610 q^{93} + 14186390 q^{94} + 5887710 q^{95} - 1245186 q^{96} + 7532890 q^{97} + 5872380 q^{98}+O(q^{100}) \) 112 * q - 40 * q^3 - 10 * q^4 + 60 * q^5 - 6 * q^6 - 560 * q^7 - 1870 * q^8 - 10 * q^9 + 4360 * q^10 - 6 * q^11 - 3490 * q^12 - 1970 * q^13 - 10 * q^14 + 80 * q^15 + 22522 * q^16 - 1210 * q^17 - 47740 * q^18 - 19210 * q^19 + 4290 * q^20 - 6 * q^21 + 116790 * q^22 + 68920 * q^23 - 83690 * q^25 + 32544 * q^26 - 147970 * q^27 - 191010 * q^28 - 24810 * q^29 + 128390 * q^30 - 6 * q^31 + 335470 * q^32 + 133250 * q^33 + 32990 * q^34 - 126400 * q^35 - 156358 * q^36 + 64990 * q^37 - 26320 * q^38 - 414810 * q^39 - 609460 * q^40 + 108554 * q^41 - 345630 * q^42 + 228280 * q^43 + 711540 * q^44 + 1026100 * q^45 - 6 * q^46 + 470440 * q^47 + 948520 * q^48 - 453750 * q^50 - 16 * q^51 - 1534020 * q^52 - 922770 * q^53 - 2582460 * q^54 - 1058910 * q^55 - 16390 * q^56 + 283510 * q^57 + 1902200 * q^58 + 2457990 * q^59 + 4557170 * q^60 - 388446 * q^61 - 686820 * q^62 - 2340440 * q^63 - 5040460 * q^64 - 1346350 * q^65 + 186618 * q^66 + 913000 * q^67 + 3094930 * q^68 + 2802790 * q^69 + 3485630 * q^70 - 758886 * q^71 + 3144300 * q^72 + 74290 * q^73 - 890640 * q^75 - 16400 * q^76 - 3146750 * q^77 - 5681900 * q^78 - 2289610 * q^79 - 6528330 * q^80 + 1577702 * q^81 + 1401150 * q^82 + 26480 * q^83 - 1650010 * q^84 - 3408980 * q^85 - 6 * q^86 - 735210 * q^87 + 2183870 * q^88 + 2906240 * q^89 + 3580070 * q^90 - 6 * q^91 + 1367450 * q^92 + 5352610 * q^93 + 14186390 * q^94 + 5887710 * q^95 - 1245186 * q^96 + 7532890 * q^97 + 5872380 * q^98

Display 100 coefficients 10 coefficients

Character values

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

$n$	$2$
$\chi(n)$	$e\left(\frac{7}{20}\right)$

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 $

$2$	−2.36346	−	4.63854i	−0.295432	−	0.579818i	0.694807	−	0.719196i	$-0.255490\pi$
$2$	−2.36346	−	4.63854i	−0.295432	−	0.579818i	−0.990239	+	0.139378i	$0.955490\pi$
$3$	1.57805	+	9.96344i	0.0584464	+	0.369016i	0.999525	+	0.0308275i	$0.00981424\pi$
$3$	1.57805	+	9.96344i	0.0584464	+	0.369016i	−0.941078	+	0.338189i	$0.890186\pi$
$4$	21.6881	−	29.8511i	0.338877	−	0.466424i
$5$	24.7920	+	122.517i	0.198336	+	0.980134i
$5$	24.7920	+	122.517i	0.198336	+	0.980134i
$6$	42.4862	−	30.8680i	0.196695	−	0.142907i
$7$	325.037	−	325.037i	0.947630	−	0.947630i	−0.0510654	−	0.998695i	$-0.516262\pi$
$7$	325.037	−	325.037i	0.947630	−	0.947630i	0.998695	+	0.0510654i	$0.0162617\pi$
$8$	−518.804	−	82.1705i	−1.01329	−	0.160489i
$9$	596.540	−	193.828i	0.818300	−	0.265882i
$10$	509.705	−	404.562i	0.509705	−	0.404562i
$11$	209.657	−	645.257i	0.157518	−	0.484791i	−0.840889	−	0.541207i	$-0.817967\pi$
$11$	209.657	−	645.257i	0.157518	−	0.484791i	0.998407	+	0.0564164i	$0.0179674\pi$
$12$	331.645	+	168.981i	0.191924	+	0.0977902i
$13$	1304.49	−	2560.21i	0.593760	−	1.16532i	−0.377212	−	0.926127i	$-0.623117\pi$
$13$	1304.49	−	2560.21i	0.593760	−	1.16532i	0.970972	−	0.239193i	$-0.0768828\pi$
$14$	−2275.91	−	739.488i	−0.829413	−	0.269493i
$15$	−1181.57	+	440.351i	−0.350093	+	0.130474i
$16$	115.284	+	354.807i	0.0281454	+	0.0866228i
$17$	−438.042	+	2765.69i	−0.0891597	+	0.562932i	0.902154	+	0.431414i	$0.141985\pi$
$17$	−438.042	+	2765.69i	−0.0891597	+	0.562932i	−0.991314	+	0.131518i	$0.958015\pi$
$18$	−2308.97	−	2308.97i	−0.395915	−	0.395915i
$19$	6409.59	+	8822.04i	0.934478	+	1.28620i	0.958087	+	0.286478i	$0.0924844\pi$
$19$	6409.59	+	8822.04i	0.934478	+	1.28620i	−0.0236089	+	0.999721i	$0.507516\pi$
$20$	4194.95	+	1917.09i	0.524369	+	0.239636i
$21$	3751.41	+	2725.56i	0.405076	+	0.294305i
$22$	−3488.56	+	552.534i	−0.327626	+	0.0518909i
$23$	−14997.8	+	7641.75i	−1.23266	+	0.628072i	−0.944185	−	0.329416i	$-0.893148\pi$
$23$	−14997.8	+	7641.75i	−1.23266	+	0.628072i	−0.288475	+	0.957487i	$0.593148\pi$
$24$		−	5298.74i		−	0.383300i
$25$	−14395.7	+	6074.87i	−0.921326	+	0.388791i
$26$	−14958.7			−0.851089
$27$	6211.16	+	12190.1i	0.315559	+	0.619320i
$28$	−2653.28	−	16752.2i	−0.120867	−	0.763126i
$29$	24277.7	−	33415.5i	0.995438	−	1.37010i	0.0673558	−	0.997729i	$-0.478544\pi$
$29$	24277.7	−	33415.5i	0.995438	−	1.37010i	0.928083	−	0.372374i	$-0.121456\pi$
$30$	4835.17	+	4439.99i	0.179080	+	0.164444i
$31$	−3487.24	+	2533.63i	−0.117057	+	0.0850469i	−0.644774	−	0.764374i	$-0.723048\pi$
$31$	−3487.24	+	2533.63i	−0.117057	+	0.0850469i	0.527717	+	0.849421i	$0.323048\pi$
$32$	−22397.7	+	22397.7i	−0.683524	+	0.683524i
$33$	6759.82	+	1070.65i	0.188102	+	0.0297924i
$34$	13864.0	−	4504.70i	0.352739	−	0.114612i
$35$	47880.8	+	31764.2i	1.11675	+	0.740855i
$36$	7151.85	−	22011.1i	0.153289	−	0.471775i
$37$	−39355.8	−	20052.8i	−0.776968	−	0.395885i	0.0200821	−	0.999798i	$-0.493607\pi$
$37$	−39355.8	−	20052.8i	−0.776968	−	0.395885i	−0.797050	+	0.603913i	$0.793607\pi$
$38$	25772.6	−	50581.6i	0.469686	−	0.921811i
$39$	27567.0	+	8957.07i	0.464725	+	0.150998i
$40$	−2794.91	−	65599.3i	−0.0436705	−	1.02499i
$41$	28574.1	+	87942.2i	0.414593	+	1.27599i	0.912615	+	0.408821i	$0.134060\pi$
$41$	28574.1	+	87942.2i	0.414593	+	1.27599i	−0.498022	+	0.867164i	$0.665940\pi$
$42$	3776.33	−	23842.8i	0.0509709	−	0.321818i
$43$	−65424.8	−	65424.8i	−0.822882	−	0.822882i	0.163639	−	0.986520i	$-0.447677\pi$
$43$	−65424.8	−	65424.8i	−0.822882	−	0.822882i	−0.986520	+	0.163639i	$0.947677\pi$
$44$	−14714.6	−	20252.9i	−0.172739	−	0.237754i
$45$	38536.6	+	68280.8i	0.422898	+	0.749309i
$46$	70893.2	+	51506.9i	0.728334	+	0.529166i
$47$	−85135.0	+	13484.1i	−0.820002	+	0.129875i	−0.552320	−	0.833632i	$-0.686257\pi$
$47$	−85135.0	+	13484.1i	−0.820002	+	0.129875i	−0.267681	+	0.963508i	$0.586257\pi$
$48$	−3353.17	+	1708.53i	−0.0303202	+	0.0154489i
$49$		−	93649.2i		−	0.796005i
$50$	62202.2	+	52417.5i	0.497617	+	0.419340i
$51$	−28247.0			−0.212942
$52$	−48133.1	−	94466.5i	−0.342321	−	0.671843i
$53$	12111.1	+	76466.6i	0.0813499	+	0.513623i	0.994392	+	0.105758i	$0.0337267\pi$
$53$	12111.1	+	76466.6i	0.0813499	+	0.513623i	−0.913042	+	0.407865i	$0.866273\pi$
$54$	41864.4	−	57621.4i	0.265867	−	0.365934i
$55$	84252.6	+	9689.26i	0.506402	+	0.0582375i
$56$	−195339.	+	141922.i	−1.11231	+	0.808138i
$57$	−77783.2	+	77783.2i	−0.420011	+	0.420011i
$58$	−212378.	−	33637.4i	−1.08849	−	0.172401i
$59$	−82924.3	+	26943.7i	−0.403762	+	0.131190i	−0.503856	−	0.863788i	$-0.668086\pi$
$59$	−82924.3	+	26943.7i	−0.403762	+	0.131190i	0.100094	+	0.994978i	$0.468086\pi$
$60$	−12480.9	+	44821.4i	−0.0577821	+	0.207507i
$61$	−101917.	+	313670.i	−0.449013	+	1.38192i	0.429009	+	0.903300i	$0.358863\pi$
$61$	−101917.	+	313670.i	−0.449013	+	1.38192i	−0.878022	+	0.478620i	$0.841137\pi$
$62$	19994.3	+	10187.6i	0.0838941	+	0.0427462i
$63$	130897.	−	256899.i	0.523488	−	1.02740i
$64$	179536.	+	58334.9i	0.684877	+	0.222530i
$65$	346009.	+	96349.4i	1.25993	+	0.350840i
$66$	−11010.3	−	33886.2i	−0.0382972	−	0.117867i
$67$	−23531.2	+	148570.i	−0.0782384	+	0.493978i	0.917189	+	0.398453i	$0.130453\pi$
$67$	−23531.2	+	148570.i	−0.0782384	+	0.493978i	−0.995427	+	0.0955246i	$0.969547\pi$
$68$	73058.5	+	73058.5i	0.232351	+	0.232351i
$69$	−99805.4	−	137370.i	−0.303813	−	0.418163i
$70$	34175.4	−	297170.i	0.0996366	−	0.866386i
$71$	−91557.0	−	66520.0i	−0.255809	−	0.185856i	0.452488	−	0.891770i	$-0.350536\pi$
$71$	−91557.0	−	66520.0i	−0.255809	−	0.185856i	−0.708297	+	0.705914i	$0.750536\pi$
$72$	−325414.	+	51540.6i	−0.871845	+	0.138087i
$73$	110881.	−	56496.6i	0.285028	−	0.145229i	−0.305632	−	0.952150i	$-0.598868\pi$
$73$	110881.	−	56496.6i	0.285028	−	0.145229i	0.590660	+	0.806921i	$0.298868\pi$
$74$			229947.i			0.567457i
$75$	−83243.8	−	133844.i	−0.197319	−	0.317261i
$76$	402359.			0.916586
$77$	−141586.	−	277878.i	−0.310133	−	0.608671i
$78$	−23605.7	−	149040.i	−0.0497431	−	0.314066i
$79$	264553.	−	364125.i	0.536575	−	0.738533i	−0.451539	−	0.892251i	$-0.649125\pi$
$79$	264553.	−	364125.i	0.536575	−	0.738533i	0.988115	+	0.153718i	$0.0491249\pi$
$80$	−40611.7	+	22920.6i	−0.0793197	+	0.0447667i
$81$	258276.	−	187648.i	0.485991	−	0.353093i
$82$	340390.	−	340390.i	0.617355	−	0.617355i
$83$	−19393.2	−	3071.58i	−0.0339168	−	0.00537190i	0.139453	−	0.990229i	$-0.455466\pi$
$83$	−19393.2	−	3071.58i	−0.0339168	−	0.00537190i	−0.173370	+	0.984857i	$0.555466\pi$
$84$	162722.	−	52871.6i	0.274542	−	0.0892040i
$85$	−349703.	+	14899.4i	−0.569433	+	0.0242611i
$86$	−148847.	+	458105.i	−0.234016	+	0.720227i
$87$	371244.	+	189158.i	0.563770	+	0.287255i
$88$	−161792.	+	317534.i	−0.237415	+	0.465953i
$89$	−221538.	−	71982.0i	−0.314252	−	0.102107i	0.147645	−	0.989040i	$-0.452831\pi$
$89$	−221538.	−	71982.0i	−0.314252	−	0.102107i	−0.461896	+	0.886934i	$0.652831\pi$
$90$	225644.	−	340132.i	0.309525	−	0.466574i
$91$	−408154.	−	1.25617e6i	−0.541627	−	1.66696i
$92$	−97158.6	+	613435.i	−0.124772	+	0.787780i
$93$	−30746.7	−	30746.7i	−0.0382252	−	0.0382252i
$94$	263759.	+	363033.i	0.317559	+	0.437082i
$95$	−921941.	+	1.00400e6i	−1.07531	+	1.17101i
$96$	−258503.	−	187814.i	−0.292181	−	0.212282i
$97$	1.03232e6	−	163503.i	1.13109	−	0.179148i	0.437296	−	0.899318i	$-0.355936\pi$
$97$	1.03232e6	−	163503.i	1.13109	−	0.179148i	0.693798	+	0.720170i	$0.255936\pi$
$98$	−434396.	+	221336.i	−0.461538	+	0.235165i
$99$		−	425559.i		−	0.438585i
$100$	−130874.	+	561480.i	−0.130874	+	0.561480i
$101$	917211.			0.890236			0.445118	−	0.895472i	$-0.353162\pi$
$101$	917211.			0.890236			0.445118	+	0.895472i	$0.353162\pi$
$102$	66760.5	+	131025.i	0.0629099	+	0.123468i
$103$	123908.	+	782323.i	0.113393	+	0.715937i	0.977233	+	0.212170i	$0.0680530\pi$
$103$	123908.	+	782323.i	0.113393	+	0.715937i	−0.863840	+	0.503767i	$0.831947\pi$
$104$	−887148.	+	1.22105e6i	−0.788672	+	1.08551i
$105$	−240922.	+	527183.i	−0.208117	+	0.455400i
$106$	326070.	−	236903.i	0.273774	−	0.198909i
$107$	−700058.	+	700058.i	−0.571456	+	0.571456i	−0.932535	−	0.361079i	$-0.882408\pi$
$107$	−700058.	+	700058.i	−0.571456	+	0.571456i	0.361079	+	0.932535i	$0.382408\pi$
$108$	498596.	+	78969.8i	0.395801	+	0.0626888i
$109$	−1.64705e6	+	535157.i	−1.27182	+	0.413240i	−0.865692	−	0.500576i	$-0.833121\pi$
$109$	−1.64705e6	+	535157.i	−1.27182	+	0.413240i	−0.406129	+	0.913816i	$0.633121\pi$
$110$	−154183.	−	413709.i	−0.115840	−	0.310826i
$111$	137689.	−	423763.i	0.100677	−	0.309852i
$112$	152797.	+	77853.9i	0.108758	+	0.0554149i
$113$	190121.	−	373134.i	0.131763	−	0.258600i	−0.815693	−	0.578485i	$-0.803644\pi$
$113$	190121.	−	373134.i	0.131763	−	0.258600i	0.947457	+	0.319885i	$0.103644\pi$
$114$	544638.	+	176963.i	0.367615	+	0.119445i
$115$	−1.30807e6	−	1.64802e6i	−0.860075	−	1.08360i
$116$	−470950.	−	1.44944e6i	−0.301718	−	0.928592i
$117$	281942.	−	1.78011e6i	0.176036	−	1.11145i
$118$	320968.	+	320968.i	0.195351	+	0.195351i
$119$	756571.	+	1.04133e6i	0.448961	+	0.617942i
$120$	649184.	−	131366.i	0.375685	−	0.0760221i
$121$	1.06082e6	+	770733.i	0.598807	+	0.435059i
$122$	1.69585e6	−	268596.i	0.933915	−	0.147918i
$123$	−831115.	+	423474.i	−0.446628	+	0.227568i
$124$			159048.i			0.0834185i
$125$	−1.10117e6	−	1.61311e6i	−0.563800	−	0.825912i
$126$	−1.50100e6			−0.750361
$127$	−57503.3	−	112857.i	−0.0280725	−	0.0550955i	0.876544	−	0.481321i	$-0.159843\pi$
$127$	−57503.3	−	112857.i	−0.0280725	−	0.0550955i	−0.904617	+	0.426226i	$0.859843\pi$
$128$	163388.	+	1.03159e6i	0.0779096	+	0.491902i
$129$	548613.	−	755100.i	0.255562	−	0.351751i
$130$	−370857.	−	1.83270e6i	−0.168801	−	0.834181i
$131$	−668022.	+	485347.i	−0.297151	+	0.215893i	−0.726364	−	0.687311i	$-0.758791\pi$
$131$	−668022.	+	485347.i	−0.297151	+	0.215893i	0.429213	+	0.903203i	$0.358791\pi$
$132$	178568.	−	178568.i	0.0776393	−	0.0776393i
$133$	4.95084e6	+	784136.i	2.10438	+	0.333301i
$134$	744764.	−	241989.i	0.309531	−	0.100573i
$135$	−1.33950e6	+	1.06319e6i	−0.544430	+	0.432124i
$136$	454515.	−	1.39885e6i	0.180689	−	0.556104i
$137$	2.65312e6	+	1.35183e6i	1.03180	+	0.525729i	0.886048	−	0.463593i	$-0.153440\pi$
$137$	2.65312e6	+	1.35183e6i	1.03180	+	0.525729i	0.145752	+	0.989321i	$0.453440\pi$
$138$	−401313.	+	787620.i	−0.152702	+	0.299695i
$139$	−4.41315e6	−	1.43392e6i	−1.64325	−	0.533925i	−0.665991	−	0.745960i	$-0.731991\pi$
$139$	−4.41315e6	−	1.43392e6i	−1.64325	−	0.533925i	−0.977262	+	0.212035i	$0.931991\pi$
$140$	1.98664e6	−	740390.i	0.723994	−	0.269822i
$141$	−268695.	−	826959.i	−0.0958523	−	0.295003i
$142$	−92165.2	+	581908.i	−0.0321886	+	0.203231i
$143$	−1.37850e6	−	1.37850e6i	−0.471408	−	0.471408i
$144$	137543.	+	189311.i	0.0460628	+	0.0634000i
$145$	4.69585e6	+	2.14600e6i	1.54032	+	0.703923i
$146$	−524124.	−	380798.i	−0.168413	−	0.122359i
$147$	933068.	−	147783.i	0.293739	−	0.0465236i
$148$	−1.45215e6	+	739907.i	−0.447946	+	0.228240i
$149$			1.91565e6i			0.579104i	0.957162	+	0.289552i	$0.0935063\pi$
$149$			1.91565e6i			0.579104i	−0.957162	+	0.289552i	$0.906494\pi$
$150$	−424100.	+	702465.i	−0.125659	+	0.208138i
$151$	242417.			0.0704097			0.0352048	−	0.999380i	$-0.488792\pi$
$151$	242417.			0.0704097			0.0352048	+	0.999380i	$0.488792\pi$
$152$	−2.60041e6	−	5.10359e6i	−0.740475	−	1.45326i
$153$	274757.	+	1.73475e6i	0.0767140	+	0.484353i
$154$	−954319.	+	1.31351e6i	−0.261295	+	0.359642i
$155$	−396868.	−	364432.i	−0.106574	−	0.0978637i
$156$	865255.	−	628644.i	0.227914	−	0.165589i
$157$	−2.20089e6	+	2.20089e6i	−0.568720	+	0.568720i	−0.931770	−	0.363049i	$-0.881736\pi$
$157$	−2.20089e6	+	2.20089e6i	−0.568720	+	0.568720i	0.363049	+	0.931770i	$0.381736\pi$
$158$	−2.31427e6	−	366544.i	−0.586736	−	0.0929299i
$159$	−742759.	+	241337.i	−0.184781	+	0.0600389i
$160$	−3.29938e6	−	2.18881e6i	−0.805513	−	0.534378i
$161$	−2.39098e6	+	7.35868e6i	−0.572926	+	1.76329i
$162$	−1.48084e6	−	754524.i	−0.348307	−	0.177471i
$163$	1.57509e6	−	3.09130e6i	0.363700	−	0.713802i	−0.634553	−	0.772879i	$-0.718816\pi$
$163$	1.57509e6	−	3.09130e6i	0.363700	−	0.713802i	0.998253	+	0.0590771i	$0.0188158\pi$
$164$	3.24489e6	+	1.05433e6i	0.735645	+	0.239026i
$165$	36416.7	+	854735.i	0.00810679	+	0.190274i
$166$	31587.3	+	97215.8i	0.00690540	+	0.0212526i
$167$	−63315.2	+	399756.i	−0.0135944	+	0.0858314i	−0.993553	−	0.113371i	$-0.963835\pi$
$167$	−63315.2	+	399756.i	−0.0135944	+	0.0858314i	0.979958	+	0.199202i	$0.0638351\pi$
$168$	−1.72229e6	−	1.72229e6i	−0.363227	−	0.363227i
$169$	−2.01584e6	−	2.77456e6i	−0.417634	−	0.574823i
$170$	895619.	+	1.58690e6i	0.182296	+	0.323000i
$171$	5.53353e6	+	4.02035e6i	1.10666	+	0.804035i
$172$	−3.37194e6	+	534064.i	−0.662667	+	0.104956i
$173$	3.61789e6	−	1.84341e6i	0.698743	−	0.356027i	−0.0682630	−	0.997667i	$-0.521746\pi$
$173$	3.61789e6	−	1.84341e6i	0.698743	−	0.356027i	0.767006	+	0.641640i	$0.221746\pi$
$174$		−	2.16910e6i		−	0.411748i
$175$	−2.70458e6	+	6.65370e6i	−0.504646	+	1.24151i
$176$	253111.			0.0464273
$177$	−399311.	−	783693.i	−0.0720098	−	0.141327i
$178$	189703.	+	1.19774e6i	0.0336368	+	0.212374i
$179$	882296.	−	1.21438e6i	0.153835	−	0.211736i	−0.725143	−	0.688599i	$-0.758226\pi$
$179$	882296.	−	1.21438e6i	0.153835	−	0.211736i	0.878978	+	0.476863i	$0.158226\pi$
$180$	2.87404e6	+	330522.i	0.492806	+	0.0566739i
$181$	−134446.	+	97680.6i	−0.0226731	+	0.0164730i	−0.599064	−	0.800701i	$-0.704461\pi$
$181$	−134446.	+	97680.6i	−0.0226731	+	0.0164730i	0.576391	+	0.817174i	$0.304461\pi$
$182$	−4.86214e6	+	4.86214e6i	−0.806517	+	0.806517i
$183$	−3.28606e6	−	520461.i	−0.536194	−	0.0849248i
$184$	8.40883e6	−	2.73219e6i	1.34984	−	0.438589i
$185$	1.48109e6	−	5.31889e6i	0.233920	−	0.840051i
$186$	−69951.5	+	215289.i	−0.0108707	+	0.0334566i
$187$	1.69274e6	+	862494.i	0.258860	+	0.131896i
$188$	−1.44390e6	+	2.83382e6i	−0.217302	+	0.426480i
$189$	5.98108e6	+	1.94337e6i	0.885920	+	0.287853i
$190$	6.83605e6	+	1.90356e6i	0.996654	+	0.277527i
$191$	−2.13001e6	−	6.55550e6i	−0.305690	−	0.940818i	−0.979419	−	0.201839i	$-0.935308\pi$
$191$	−2.13001e6	−	6.55550e6i	−0.305690	−	0.940818i	0.673728	−	0.738979i	$-0.264692\pi$
$192$	−297898.	+	1.88086e6i	−0.0420886	+	0.265737i
$193$	−4.57140e6	−	4.57140e6i	−0.635883	−	0.635883i	0.313654	−	0.949537i	$-0.398447\pi$
$193$	−4.57140e6	−	4.57140e6i	−0.635883	−	0.635883i	−0.949537	+	0.313654i	$0.898447\pi$
$194$	−3.19826e6	−	4.40202e6i	−0.438034	−	0.602902i
$195$	−413950.	+	3.59949e6i	−0.0558270	+	0.485441i
$196$	−2.79553e6	−	2.03107e6i	−0.371275	−	0.269747i
$197$	7.90242e6	−	1.25162e6i	1.03362	−	0.163710i	0.383501	−	0.923541i	$-0.374718\pi$
$197$	7.90242e6	−	1.25162e6i	1.03362	−	0.163710i	0.650121	+	0.759831i	$0.274718\pi$
$198$	−1.97397e6	+	1.00579e6i	−0.254300	+	0.129572i
$199$		−	8.15171e6i		−	1.03440i	−0.855864	−	0.517201i	$-0.826974\pi$
$199$		−	8.15171e6i		−	1.03440i	0.855864	−	0.517201i	$-0.173026\pi$
$200$	7.96773e6	−	1.96876e6i	0.995966	−	0.246095i
$201$	−1.51740e6			−0.186859
$202$	−2.16779e6	−	4.25452e6i	−0.263004	−	0.516175i
$203$	−2.97009e6	−	1.87524e7i	−0.355044	−	2.24166i
$204$	−612624.	+	843204.i	−0.0721611	+	0.0993213i
$205$	−1.00660e7	+	5.68107e6i	−1.16841	+	0.659430i
$206$	3.33599e6	−	2.42374e6i	0.381613	−	0.277258i
$207$	−7.46560e6	+	7.46560e6i	−0.841692	+	0.841692i
$208$	1.05877e6	+	167692.i	0.117655	+	0.0186347i
$209$	7.03629e6	−	2.28623e6i	0.770735	−	0.250427i
$210$	3.01477e6	−	128447.i	0.325534	−	0.0138696i
$211$	−5.62336e6	+	1.73069e7i	−0.598617	+	1.84235i	−0.0627871	+	0.998027i	$0.519999\pi$
$211$	−5.62336e6	+	1.73069e7i	−0.598617	+	1.84235i	−0.535830	+	0.844326i	$0.680001\pi$
$212$	2.54528e6	+	1.29689e6i	0.267133	+	0.136111i
$213$	518286.	−	1.01719e6i	0.0536329	−	0.105260i
$214$	4.90181e6	+	1.59269e6i	0.500167	+	0.162514i
$215$	6.39363e6	−	9.63765e6i	0.643327	−	0.969741i
$216$	−2.22071e6	−	6.83463e6i	−0.220359	−	0.678194i
$217$	−309960.	+	1.95701e6i	−0.0303337	+	0.191520i
$218$	6.37507e6	+	6.37507e6i	0.615340	+	0.615340i
$219$	737876.	+	1.01560e6i	0.0702508	+	0.0966919i
$220$	2.11651e6	−	2.30489e6i	0.198771	−	0.216462i
$221$	6.50931e6	+	4.72929e6i	0.603057	+	0.438146i
$222$	−2.29106e6	+	362869.i	−0.209401	+	0.0331658i
$223$	−2.49281e6	+	1.27015e6i	−0.224789	+	0.114536i	−0.562758	−	0.826621i	$-0.690260\pi$
$223$	−2.49281e6	+	1.27015e6i	−0.224789	+	0.114536i	0.337970	+	0.941157i	$0.390260\pi$
$224$			1.45602e7i			1.29546i
$225$	−7.41015e6	+	6.41419e6i	−0.650548	+	0.563111i
$226$	−2.18014e6			−0.188868
$227$	−6.28780e6	−	1.23405e7i	−0.537552	−	1.05501i	−0.986852	−	0.161625i	$-0.948326\pi$
$227$	−6.28780e6	−	1.23405e7i	−0.537552	−	1.05501i	0.449300	−	0.893381i	$-0.351674\pi$
$228$	634945.	+	4.00888e6i	0.0535712	+	0.338235i
$229$	4.47903e6	−	6.16486e6i	0.372973	−	0.513354i	−0.580733	−	0.814094i	$-0.697234\pi$
$229$	4.47903e6	−	6.16486e6i	0.372973	−	0.513354i	0.953706	+	0.300741i	$0.0972339\pi$
$230$	−4.55288e6	+	9.96256e6i	−0.374199	+	0.818818i
$231$	2.54519e6	−	1.84919e6i	0.206483	−	0.150019i
$232$	−1.53412e7	+	1.53412e7i	−1.22855	+	1.22855i
$233$	−1.32654e7	−	2.10103e6i	−1.04870	−	0.166098i	−0.391781	−	0.920059i	$-0.628141\pi$
$233$	−1.32654e7	−	2.10103e6i	−1.04870	−	0.166098i	−0.656920	+	0.753961i	$0.728141\pi$
$234$	−8.92349e6	+	2.89942e6i	−0.696446	+	0.226289i
$235$	−3.76269e6	−	1.00962e7i	−0.289931	−	0.777953i
$236$	−994170.	+	3.05974e6i	−0.0756353	+	0.232782i
$237$	4.04542e6	+	2.06124e6i	0.303892	+	0.154840i
$238$	3.04213e6	−	5.97052e6i	0.225656	−	0.442875i
$239$	−1.98116e7	−	6.43718e6i	−1.45120	−	0.471522i	−0.525828	−	0.850591i	$-0.676244\pi$
$239$	−1.98116e7	−	6.43718e6i	−1.45120	−	0.471522i	−0.925368	+	0.379069i	$0.876244\pi$
$240$	−292455.	−	368462.i	−0.0211556	−	0.0266538i
$241$	5.69567e6	+	1.75295e7i	0.406906	+	1.25233i	0.919294	+	0.393572i	$0.128761\pi$
$241$	5.69567e6	+	1.75295e7i	0.406906	+	1.25233i	−0.512388	+	0.858754i	$0.671239\pi$
$242$	1.06787e6	−	6.74226e6i	0.0753481	−	0.475729i
$243$	9.32962e6	+	9.32962e6i	0.650197	+	0.650197i
$244$	7.15299e6	+	9.84524e6i	0.492400	+	0.677730i
$245$	1.14736e7	−	2.32175e6i	0.780192	−	0.157876i
$246$	3.92861e6	+	2.85430e6i	0.263896	+	0.191732i
$247$	3.09475e7	−	4.90160e6i	2.05369	−	0.325272i
$248$	2.01739e6	−	1.02791e6i	0.132262	−	0.0673907i
$249$		−	198070.i		−	0.0128298i
$250$	−4.87990e6	+	8.92034e6i	−0.312314	+	0.570902i
$251$	−2.80244e7			−1.77221			−0.886104	−	0.463486i	$-0.846599\pi$
$251$	−2.80244e7			−1.77221			−0.886104	+	0.463486i	$0.846599\pi$
$252$	−4.82982e6	−	9.47906e6i	−0.301807	−	0.592330i
$253$	1.78651e6	+	1.12796e7i	0.110317	+	0.696515i
$254$	−387584.	+	533463.i	−0.0236518	+	0.0325539i
$255$	−700299.	−	3.46073e6i	−0.0422341	−	0.208712i
$256$	1.41732e7	−	1.02974e7i	0.844788	−	0.613774i
$257$	4.87914e6	−	4.87914e6i	0.287438	−	0.287438i	−0.548628	−	0.836066i	$-0.684850\pi$
$257$	4.87914e6	−	4.87914e6i	0.287438	−	0.287438i	0.836066	+	0.548628i	$0.184850\pi$
$258$	−4.79919e6	−	760117.i	−0.279453	−	0.0442610i
$259$	−1.93100e7	+	6.27419e6i	−1.11143	+	0.361126i
$260$	1.03804e7	−	8.23912e6i	0.590602	−	0.468771i
$261$	8.00582e6	−	2.46394e7i	0.450281	−	1.38582i
$262$	3.83014e6	+	1.95155e6i	0.212966	+	0.108512i
$263$	89304.8	−	175271.i	0.00490917	−	0.00963478i	−0.888539	−	0.458801i	$-0.848279\pi$
$263$	89304.8	−	175271.i	0.00490917	−	0.00963478i	0.893448	+	0.449166i	$0.148279\pi$
$264$	−3.41905e6	−	1.11092e6i	−0.185820	−	0.0603767i
$265$	−9.06819e6	+	3.37957e6i	−0.487285	+	0.181604i
$266$	−8.06385e6	−	2.48180e7i	−0.428447	−	1.31862i
$267$	367590.	−	2.32087e6i	0.0193121	−	0.121932i
$268$	3.92464e6	+	3.92464e6i	0.203890	+	0.203890i
$269$	−2.05190e6	−	2.82420e6i	−0.105414	−	0.145090i	0.753051	−	0.657962i	$-0.228581\pi$
$269$	−2.05190e6	−	2.82420e6i	−0.105414	−	0.145090i	−0.858465	+	0.512872i	$0.828581\pi$
$270$	8.09749e6	+	3.70054e6i	0.411395	+	0.188007i
$271$	8.20440e6	+	5.96084e6i	0.412229	+	0.299502i	0.774504	−	0.632569i	$-0.218000\pi$
$271$	8.20440e6	+	5.96084e6i	0.412229	+	0.299502i	−0.362274	+	0.932071i	$0.618000\pi$
$272$	−1.03178e6	+	163418.i	−0.0512722	+	0.00812072i
$273$	1.18717e7	−	6.04893e6i	0.583478	−	0.297297i
$274$		−	1.55016e7i		−	0.753573i
$275$	901690.	+	1.05626e7i	0.0433570	+	0.507892i
$276$	−6.26525e6			−0.297996
$277$	−1.15444e7	−	2.26571e7i	−0.543164	−	1.06602i	−0.985580	−	0.169209i	$-0.945879\pi$
$277$	−1.15444e7	−	2.26571e7i	−0.543164	−	1.06602i	0.442416	−	0.896810i	$-0.354121\pi$
$278$	3.77899e6	+	2.38596e7i	0.175890	+	1.11053i
$279$	−1.58919e6	+	2.18734e6i	−0.0731753	+	0.100717i
$280$	−2.22307e7	−	2.04138e7i	−1.01269	−	0.929927i
$281$	1.87987e7	−	1.36580e7i	0.847244	−	0.615559i	−0.0771409	−	0.997020i	$-0.524579\pi$
$281$	1.87987e7	−	1.36580e7i	0.847244	−	0.615559i	0.924385	+	0.381462i	$0.124579\pi$
$282$	−3.20084e6	+	3.20084e6i	−0.142730	+	0.142730i
$283$	3.47185e7	+	5.49888e6i	1.53180	+	0.242613i	0.864675	−	0.502332i	$-0.167524\pi$
$283$	3.47185e7	+	5.49888e6i	1.53180	+	0.242613i	0.667125	+	0.744945i	$0.267524\pi$
$284$	−3.97139e6	+	1.29038e6i	−0.173376	+	0.0563331i
$285$	−1.14581e7	−	7.60134e6i	−0.494971	−	0.328364i
$286$	−3.13620e6	+	9.65222e6i	−0.134062	+	0.412600i
$287$	3.78721e7	+	1.92968e7i	1.60204	+	0.816281i
$288$	−9.01985e6	+	1.77024e7i	−0.377591	+	0.741064i
$289$	1.54990e7	+	5.03595e6i	0.642113	+	0.208635i
$290$	−1.14413e6	−	2.68539e7i	−0.0469117	−	1.10106i
$291$	3.25811e6	+	1.00274e7i	0.132217	+	0.406921i
$292$	718308.	−	4.53522e6i	0.0288511	−	0.182159i
$293$	−5.48107e6	−	5.48107e6i	−0.217903	−	0.217903i	0.589711	−	0.807614i	$-0.299242\pi$
$293$	−5.48107e6	−	5.48107e6i	−0.217903	−	0.217903i	−0.807614	+	0.589711i	$0.799242\pi$
$294$	−2.89076e6	−	3.97880e6i	−0.113755	−	0.156570i
$295$	−5.35692e6	−	9.49163e6i	−0.208665	−	0.369722i
$296$	1.87702e7	+	1.36373e7i	0.723758	+	0.525841i
$297$	9.16794e6	−	1.45206e6i	0.349947	−	0.0554262i
$298$	8.88581e6	−	4.52755e6i	0.335775	−	0.171086i
$299$			4.83660e7i			1.80937i
$300$	−5.80080e6	−	417912.i	−0.214844	−	0.0154782i
$301$	−4.25310e7			−1.55957
$302$	−572942.	−	1.12446e6i	−0.0208013	−	0.0408248i
$303$	1.44741e6	+	9.13858e6i	0.0520311	+	0.328512i
$304$	−2.39120e6	+	3.29120e6i	−0.0851128	+	0.117148i
$305$	−4.09565e7	−	4.71010e6i	−1.44352	−	0.166009i
$306$	7.39733e6	−	5.37447e6i	0.258173	−	0.187574i
$307$	−1.49073e7	+	1.49073e7i	−0.515211	+	0.515211i	−0.916119	−	0.400908i	$-0.868695\pi$
$307$	−1.49073e7	+	1.49073e7i	−0.515211	+	0.515211i	0.400908	+	0.916119i	$0.368695\pi$
$308$	−1.13657e7	−	1.80015e6i	−0.388996	−	0.0616108i
$309$	−7.59910e6	+	2.46910e6i	−0.257565	+	0.0836879i
$310$	−752454.	+	2.70221e6i	−0.0252578	+	0.0907055i
$311$	9.04717e6	−	2.78443e7i	0.300768	−	0.925669i	−0.680455	−	0.732790i	$-0.738218\pi$
$311$	9.04717e6	−	2.78443e7i	0.300768	−	0.925669i	0.981223	−	0.192879i	$-0.0617824\pi$
$312$	−1.35659e7	−	6.91216e6i	−0.446667	−	0.227588i
$313$	−868732.	+	1.70498e6i	−0.0283304	+	0.0556016i	−0.904738	−	0.425969i	$-0.859933\pi$
$313$	−868732.	+	1.70498e6i	−0.0283304	+	0.0556016i	0.876407	+	0.481570i	$0.159933\pi$
$314$	1.54106e7	+	5.00721e6i	0.497772	+	0.161736i
$315$	3.47196e7	+	9.66799e6i	1.11082	+	0.309317i
$316$	−5.13190e6	−	1.57944e7i	−0.162636	−	0.500543i
$317$	−6.12245e6	+	3.86556e7i	−0.192197	+	1.21349i	0.683254	+	0.730181i	$0.260564\pi$
$317$	−6.12245e6	+	3.86556e7i	−0.192197	+	1.21349i	−0.875452	+	0.483306i	$0.839436\pi$
$318$	2.87493e6	+	2.87493e6i	0.0894017	+	0.0894017i
$319$	−1.64716e7	−	2.26711e7i	−0.507414	−	0.698396i
$320$	−2.69594e6	+	2.34425e7i	−0.0822737	+	0.715407i
$321$	−8.07972e6	−	5.87026e6i	−0.244276	−	0.177477i
$322$	3.97846e7	−	6.30125e6i	1.19164	−	0.188738i
$323$	−2.72067e7	+	1.38625e7i	−0.807361	+	0.411371i
$324$		−	1.17795e7i		−	0.346333i
$325$	−3.22617e6	+	4.47806e7i	−0.0939802	+	1.30449i
$326$	−1.80618e7			−0.521324
$327$	−7.93113e6	−	1.55657e7i	−0.226826	−	0.445170i
$328$	−7.59813e6	−	4.79727e7i	−0.215320	−	1.35948i
$329$	−2.32892e7	+	3.20549e7i	−0.653984	+	0.900132i
$330$	3.87866e6	−	2.18905e6i	0.107929	−	0.0609135i
$331$	2.07185e7	−	1.50529e7i	0.571313	−	0.415083i	−0.264269	−	0.964449i	$-0.585131\pi$
$331$	2.07185e7	−	1.50529e7i	0.571313	−	0.415083i	0.835582	+	0.549366i	$0.185131\pi$
$332$	−512292.	+	512292.i	−0.0139992	+	0.0139992i
$333$	−2.73641e7	−	4.33404e6i	−0.741051	−	0.117371i
$334$	2.00393e6	−	651116.i	0.0537828	−	0.0174751i
$335$	−1.87857e7	+	800381.i	−0.499682	+	0.0212894i
$336$	−534571.	+	1.64524e6i	−0.0140925	+	0.0433722i
$337$	4.60226e7	+	2.34497e7i	1.20249	+	0.612700i	0.936293	−	0.351219i	$-0.114233\pi$
$337$	4.60226e7	+	2.34497e7i	1.20249	+	0.612700i	0.266197	+	0.963919i	$0.414233\pi$
$338$	−8.10559e6	+	1.59081e7i	−0.209911	+	0.411973i
$339$	4.01772e6	+	1.30544e6i	0.103129	+	0.0335086i
$340$	−7.13963e6	+	1.07622e7i	−0.181651	+	0.273818i
$341$	903719.	+	2.78136e6i	0.0227914	+	0.0701446i
$342$	5.57029e6	−	3.51694e7i	0.139251	−	0.879199i
$343$	7.80083e6	+	7.80083e6i	0.193312	+	0.193312i
$344$	2.85667e7	+	3.93187e7i	0.701753	+	0.965880i
$345$	1.43558e7	−	1.56335e7i	0.349599	−	0.380714i
$346$	−1.71015e7	−	1.24249e7i	−0.412862	−	0.299962i
$347$	−3.68090e7	+	5.82997e6i	−0.880978	+	0.139533i	−0.580505	−	0.814257i	$-0.697145\pi$
$347$	−3.68090e7	+	5.82997e6i	−0.880978	+	0.139533i	−0.300473	+	0.953790i	$0.597145\pi$
$348$	1.36982e7	−	6.97957e6i	0.325031	−	0.165612i
$349$		−	7.72051e7i		−	1.81623i	−0.418726	−	0.908113i	$-0.637523\pi$
$349$		−	7.72051e7i		−	1.81623i	0.418726	−	0.908113i	$-0.362477\pi$
$350$	3.72556e7	−	3.18039e6i	0.868936	−	0.0741781i
$351$	3.93115e7			0.909073
$352$	9.75645e6	+	1.91481e7i	0.223699	+	0.439034i
$353$	−5.23039e6	−	3.30234e7i	−0.118908	−	0.750754i	−0.973029	−	0.230681i	$-0.925905\pi$
$353$	−5.23039e6	−	3.30234e7i	−0.118908	−	0.750754i	0.854122	−	0.520073i	$-0.174095\pi$
$354$	−2.69144e6	+	3.70445e6i	−0.0606701	+	0.0835052i
$355$	5.87994e6	−	1.28664e7i	0.131428	−	0.287589i
$356$	−6.95348e6	+	5.05200e6i	−0.154118	+	0.111973i
$357$	−9.18132e6	+	9.18132e6i	−0.201790	+	0.201790i
$358$	−7.71820e6	−	1.22244e6i	−0.168216	−	0.0266428i
$359$	6.55902e7	−	2.13116e7i	1.41761	−	0.460608i	0.502766	−	0.864423i	$-0.332316\pi$
$359$	6.55902e7	−	2.13116e7i	1.41761	−	0.460608i	0.914841	+	0.403814i	$0.132316\pi$
$360$	−1.43822e7	−	3.85909e7i	−0.308261	−	0.827137i
$361$	−2.22076e7	+	6.83479e7i	−0.472041	+	1.45279i
$362$	770852.	+	392769.i	0.0162497	+	0.00827964i
$363$	−6.00511e6	+	1.17857e7i	−0.125546	+	0.246397i
$364$	−4.63502e7	−	1.50601e7i	−0.961052	−	0.312265i
$365$	9.67073e6	+	1.21841e7i	0.198875	+	0.250562i
$366$	5.35227e6	+	1.64726e7i	0.109168	+	0.335984i
$367$	−1.46952e6	+	9.27821e6i	−0.0297289	+	0.187701i	−0.998084	−	0.0618763i	$-0.980292\pi$
$367$	−1.46952e6	+	9.27821e6i	−0.0297289	+	0.187701i	0.968355	+	0.249577i	$0.0802916\pi$
$368$	−4.44034e6	−	4.44034e6i	−0.0890991	−	0.0890991i
$369$	3.40913e7	+	4.69226e7i	0.678522	+	0.933905i
$370$	−2.81724e7	+	5.70084e6i	−0.556184	+	0.112547i
$371$	2.87911e7	+	2.09179e7i	0.563814	+	0.409635i
$372$	−1.58466e6	+	250986.i	−0.0307828	+	0.00487552i
$373$	4.31026e7	−	2.19619e7i	0.830572	−	0.423197i	0.0136225	−	0.999907i	$-0.495664\pi$
$373$	4.31026e7	−	2.19619e7i	0.830572	−	0.423197i	0.816949	+	0.576710i	$0.195664\pi$
$374$		−	9.89031e6i		−	0.189058i
$375$	1.43344e7	−	1.35170e7i	0.271823	−	0.256323i
$376$	4.52764e7			0.851742
$377$	−5.38804e7	−	1.05746e8i	−1.00556	−	1.97352i
$378$	−5.12161e6	−	3.23366e7i	−0.0948269	−	0.598713i
$379$	4.81312e7	−	6.62469e7i	0.884115	−	1.21688i	−0.0911489	−	0.995837i	$-0.529054\pi$
$379$	4.81312e7	−	6.62469e7i	0.884115	−	1.21688i	0.975264	−	0.221043i	$-0.0709461\pi$
$380$	9.97528e6	+	4.92958e7i	0.181792	+	0.898377i
$381$	1.03370e6	−	751025.i	0.0186904	−	0.0135794i
$382$	−2.53738e7	+	2.53738e7i	−0.455192	+	0.455192i
$383$	1.94788e7	+	3.08514e6i	0.346710	+	0.0549134i	0.327361	−	0.944899i	$-0.393841\pi$
$383$	1.94788e7	+	3.08514e6i	0.346710	+	0.0549134i	0.0193487	+	0.999813i	$0.493841\pi$
$384$	−1.00204e7	+	3.25582e6i	−0.176966	+	0.0574998i
$385$	3.05346e7	−	2.42358e7i	0.535069	−	0.424694i
$386$	−1.04003e7	+	3.20089e7i	−0.180836	+	0.556556i
$387$	−5.17097e7	−	2.63474e7i	−0.892153	−	0.454575i
$388$	1.75083e7	−	3.43619e7i	0.299742	−	0.588278i
$389$	−3.22037e7	−	1.04636e7i	−0.547088	−	0.177760i	0.0224154	−	0.999749i	$-0.492864\pi$
$389$	−3.22037e7	−	1.04636e7i	−0.547088	−	0.177760i	−0.569503	+	0.821989i	$0.692864\pi$
$390$	1.76747e7	−	6.58710e6i	0.297961	−	0.111045i
$391$	−1.45650e7	−	4.48266e7i	−0.243658	−	0.749903i
$392$	−7.69520e6	+	4.85856e7i	−0.127750	+	0.806583i
$393$	−5.88990e6	−	5.88990e6i	−0.0970353	−	0.0970353i
$394$	−2.44827e7	−	3.36976e7i	−0.400286	−	0.550947i
$395$	5.11703e7	+	2.33847e7i	0.830283	+	0.379438i
$396$	−1.27034e7	−	9.22956e6i	−0.204567	−	0.148626i
$397$	−8.78297e7	+	1.39109e7i	−1.40369	+	0.222322i	−0.811911	−	0.583781i	$-0.801573\pi$
$397$	−8.78297e7	+	1.39109e7i	−1.40369	+	0.222322i	−0.591775	+	0.806103i	$0.701573\pi$
$398$	−3.78120e7	+	1.92662e7i	−0.599765	+	0.305595i
$399$			5.05648e7i			0.796031i
$400$	−3.81500e6	−	4.40737e6i	−0.0596093	−	0.0688651i
$401$	−4.92181e7			−0.763294			−0.381647	−	0.924308i	$-0.624643\pi$
$401$	−4.92181e7			−0.763294			−0.381647	+	0.924308i	$0.624643\pi$
$402$	3.58632e6	+	7.03854e6i	0.0552040	+	0.108344i
$403$	1.93754e6	+	1.22332e7i	0.0296030	+	0.186906i
$404$	1.98926e7	−	2.73798e7i	0.301680	−	0.415227i
$405$	2.93932e7	+	2.69909e7i	0.442468	+	0.406306i
$406$	−7.99643e7	+	5.80974e7i	−1.19486	+	0.868118i
$407$	−2.11904e7	+	2.11904e7i	−0.314308	+	0.314308i
$408$	1.46547e7	+	2.32107e6i	0.215772	+	0.0341749i
$409$	−3.18422e7	+	1.03462e7i	−0.465407	+	0.151220i	−0.532328	−	0.846538i	$-0.678683\pi$
$409$	−3.18422e7	+	1.03462e7i	−0.465407	+	0.151220i	0.0669207	+	0.997758i	$0.478683\pi$
$410$	5.01424e7	+	3.32645e7i	0.727534	+	0.482647i
$411$	−9.28214e6	+	2.85675e7i	−0.133697	+	0.411478i
$412$	2.60405e7	+	1.32683e7i	0.372356	+	0.189725i
$413$	−1.81958e7	+	3.57112e7i	−0.258297	+	0.506937i
$414$	5.22741e7	+	1.69849e7i	0.736691	+	0.239365i
$415$	−104476.	−	2.45214e6i	−0.00146174	−	0.0343085i
$416$	2.81252e7	+	8.65604e7i	0.390675	+	1.20237i
$417$	7.32258e6	−	4.62330e7i	0.100985	−	0.637593i
$418$	−2.72347e7	−	2.72347e7i	−0.372902	−	0.372902i
$419$	−2.93076e7	−	4.03384e7i	−0.398417	−	0.548374i	0.561929	−	0.827186i	$-0.310059\pi$
$419$	−2.93076e7	−	4.03384e7i	−0.398417	−	0.548374i	−0.960346	+	0.278812i	$0.910059\pi$
$420$	1.05119e7	+	1.86254e7i	0.141883	+	0.251395i
$421$	1.72988e7	+	1.25683e7i	0.231830	+	0.168435i	0.697636	−	0.716453i	$-0.254235\pi$
$421$	1.72988e7	+	1.25683e7i	0.231830	+	0.168435i	−0.465806	+	0.884887i	$0.654235\pi$
$422$	9.35695e7	−	1.48200e7i	1.24508	−	0.197201i
$423$	−4.81729e7	+	2.45453e7i	−0.636475	+	0.324300i
$424$		−	4.06664e7i		−	0.533504i
$425$	−1.04952e7	−	4.24751e7i	−0.136718	−	0.553309i
$426$	−5.94325e6			−0.0768767
$427$	6.88273e7	+	1.35081e8i	0.884050	+	1.73505i
$428$	5.71458e6	+	3.60805e7i	0.0728875	+	0.460194i
$429$	1.15592e7	−	1.59099e7i	0.146405	−	0.201509i
$430$	−5.98157e7	−	6.87896e6i	−0.752333	−	0.0865202i
$431$	5.56571e6	−	4.04372e6i	0.0695166	−	0.0505068i	−0.552484	−	0.833523i	$-0.686320\pi$
$431$	5.56571e6	−	4.04372e6i	0.0695166	−	0.0505068i	0.622001	+	0.783017i	$0.286320\pi$
$432$	−3.60908e6	+	3.60908e6i	−0.0447657	+	0.0447657i
$433$	4.24640e7	+	6.72563e6i	0.523067	+	0.0828456i	0.412384	−	0.911010i	$-0.364696\pi$
$433$	4.24640e7	+	6.72563e6i	0.523067	+	0.0828456i	0.110683	+	0.993856i	$0.464696\pi$
$434$	9.81024e6	−	3.18754e6i	0.120008	−	0.0389930i
$435$	−1.39712e7	+	5.01733e7i	−0.169733	+	0.609543i
$436$	−1.97462e7	+	6.07727e7i	−0.238246	+	0.733244i
$437$	−1.63545e8	−	8.33305e7i	−1.95972	−	0.998527i
$438$	2.96696e6	−	5.82299e6i	0.0353094	−	0.0692985i
$439$	2.53969e7	+	8.25196e6i	0.300184	+	0.0975357i	0.455237	−	0.890371i	$-0.349555\pi$
$439$	2.53969e7	+	8.25196e6i	0.300184	+	0.0975357i	−0.155053	+	0.987906i	$0.549555\pi$
$440$	−4.29144e7	−	1.19499e7i	−0.503784	−	0.140283i
$441$	−1.81518e7	−	5.58655e7i	−0.211643	−	0.651370i
$442$	6.55255e6	−	4.13712e7i	0.0758828	−	0.479105i
$443$	−3.86267e7	−	3.86267e7i	−0.444300	−	0.444300i	0.449154	−	0.893454i	$-0.351725\pi$
$443$	−3.86267e7	−	3.86267e7i	−0.444300	−	0.444300i	−0.893454	+	0.449154i	$0.851725\pi$
$444$	−9.66358e6	−	1.33008e7i	−0.110405	−	0.151960i
$445$	3.32664e6	−	2.89267e7i	0.0377508	−	0.328260i
$446$	1.17833e7	+	8.56107e6i	0.132820	+	0.0964991i
$447$	−1.90864e7	+	3.02299e6i	−0.213699	+	0.0338466i
$448$	7.73170e7	−	3.93950e7i	0.859886	−	0.438134i
$449$			5.65706e7i			0.624959i	0.949925	+	0.312479i	$0.101160\pi$
$449$			5.65706e7i			0.624959i	−0.949925	+	0.312479i	$0.898840\pi$
$450$	4.72661e7	+	1.92126e7i	0.518695	+	0.210838i
$451$	6.27360e7			0.683892
$452$	−7.01509e6	−	1.37679e7i	−0.0759658	−	0.149091i
$453$	382547.	+	2.41531e6i	0.00411520	+	0.0259823i
$454$	−4.23810e7	+	5.83324e7i	−0.452901	+	0.623365i
$455$	1.43783e8	−	8.11487e7i	1.52642	−	0.861484i
$456$	4.67457e7	−	3.39627e7i	0.493000	−	0.358185i
$457$	6.20497e7	−	6.20497e7i	0.650117	−	0.650117i	−0.302904	−	0.953021i	$-0.597956\pi$
$457$	6.20497e7	−	6.20497e7i	0.650117	−	0.650117i	0.953021	+	0.302904i	$0.0979563\pi$
$458$	−3.91819e7	−	6.20581e6i	−0.407840	−	0.0645955i
$459$	−3.64347e7	+	1.18383e7i	−0.376771	+	0.122420i
$460$	−7.75648e7	+	3.30471e6i	−0.796877	+	0.0339516i
$461$	5.67205e7	−	1.74568e8i	0.578945	−	1.78181i	−0.0433876	−	0.999058i	$-0.513815\pi$
$461$	5.67205e7	−	1.74568e8i	0.578945	−	1.78181i	0.622333	−	0.782753i	$-0.286185\pi$
$462$	−1.45930e7	−	7.43551e6i	−0.147985	−	0.0754024i
$463$	5.45953e7	−	1.07149e8i	0.550063	−	1.07956i	−0.433862	−	0.900979i	$-0.642849\pi$
$463$	5.45953e7	−	1.07149e8i	0.550063	−	1.07956i	0.983925	−	0.178581i	$-0.0571505\pi$
$464$	1.46549e7	+	4.76165e6i	0.146699	+	0.0476655i
$465$	3.00472e6	−	4.52926e6i	0.0298844	−	0.0450473i
$466$	2.16064e7	+	6.64977e7i	0.213513	+	0.657126i
$467$	−1.42208e6	+	8.97864e6i	−0.0139628	+	0.0881576i	−0.993686	−	0.112200i	$-0.964210\pi$
$467$	−1.42208e6	+	8.97864e6i	−0.0139628	+	0.0881576i	0.979723	+	0.200357i	$0.0642103\pi$
$468$	−4.70236e7	−	4.70236e7i	−0.458752	−	0.458752i
$469$	4.06423e7	+	5.59393e7i	0.393967	+	0.542249i
$470$	−3.79386e7	+	4.13152e7i	−0.365416	+	0.397939i
$471$	−2.54015e7	−	1.84553e7i	−0.243107	−	0.176627i
$472$	4.52354e7	−	7.16459e6i	0.430183	−	0.0681342i
$473$	−5.59326e7	+	2.84991e7i	−0.528544	+	0.269307i
$474$		−	2.36365e7i		−	0.221947i
$475$	−1.45863e8	−	8.80622e7i	−1.36102	−	0.821691i
$476$	4.74935e7			0.440365
$477$	2.20461e7	+	4.32680e7i	0.203131	+	0.398668i
$478$	1.69647e7	+	1.07111e8i	0.155333	+	0.980732i
$479$	−1.31160e7	+	1.80527e7i	−0.119343	+	0.164261i	−0.864509	−	0.502618i	$-0.832370\pi$
$479$	−1.31160e7	+	1.80527e7i	−0.119343	+	0.164261i	0.745166	+	0.666879i	$0.232370\pi$
$480$	1.66015e7	−	3.63272e7i	0.150115	−	0.328480i
$481$	−1.02678e8	+	7.46002e7i	−0.922665	+	0.670355i
$482$	6.78497e7	−	6.78497e7i	0.605908	−	0.605908i
$483$	−7.70909e7	−	1.22100e7i	−0.684166	−	0.108361i
$484$	4.60145e7	−	1.49510e7i	0.405843	−	0.131866i
$485$	4.56251e7	+	1.22423e8i	0.399925	+	1.07309i
$486$	2.12257e7	−	6.53260e7i	0.184907	−	0.569085i
$487$	1.79079e8	+	9.12453e7i	1.55045	+	0.789993i	0.999021	−	0.0442292i	$-0.0140832\pi$
$487$	1.79079e8	+	9.12453e7i	1.55045	+	0.789993i	0.551428	+	0.834223i	$0.314083\pi$
$488$	7.86495e7	−	1.54358e8i	0.676763	−	1.32822i
$489$	3.32855e7	+	1.08151e7i	0.284662	+	0.0924922i
$490$	−3.78869e7	−	4.77334e7i	−0.322033	−	0.405727i
$491$	−5.62546e7	−	1.73134e8i	−0.475240	−	1.46264i	−0.845633	−	0.533764i	$-0.820777\pi$
$491$	−5.62546e7	−	1.73134e8i	−0.475240	−	1.46264i	0.370393	−	0.928875i	$-0.379223\pi$
$492$	−5.38413e6	+	3.39941e7i	−0.0452085	+	0.285435i
$493$	8.17820e7	+	8.17820e7i	0.682523	+	0.682523i
$494$	−9.58793e7	−	1.31967e8i	−0.795324	−	1.09467i
$495$	5.21381e7	−	1.05504e7i	0.429872	−	0.0869872i
$496$	−1.30097e6	−	945212.i	−0.0106616	−	0.00774612i
$497$	−5.13809e7	+	8.13793e6i	−0.418536	+	0.0662895i
$498$	−918757.	+	468130.i	−0.00743897	+	0.00379034i
$499$			8.78812e7i			0.707285i	0.935381	+	0.353642i	$0.115057\pi$
$499$			8.78812e7i			0.707285i	−0.935381	+	0.353642i	$0.884943\pi$
$500$	−7.20354e7	−	2.11409e6i	−0.576283	−	0.0169127i
$501$	−4.08286e6			−0.0324677
$502$	6.62344e7	+	1.29992e8i	0.523567	+	1.02756i
$503$	2.84904e7	+	1.79881e8i	0.223869	+	1.41346i	0.801909	+	0.597446i	$0.203818\pi$
$503$	2.84904e7	+	1.79881e8i	0.223869	+	1.41346i	−0.578039	+	0.816009i	$0.696182\pi$
$504$	−8.90191e7	+	1.22524e8i	−0.695331	+	0.957041i
$505$	2.27395e7	+	1.12374e8i	0.176566	+	0.872551i
$506$	4.80984e7	−	3.49455e7i	0.371261	−	0.269737i
$507$	2.44631e7	−	2.44631e7i	0.187710	−	0.187710i
$508$	−4.61603e6	−	731108.i	−0.0352109	−	0.00557687i
$509$	8.24940e7	−	2.68039e7i	0.625560	−	0.203257i	0.0209527	−	0.999780i	$-0.493330\pi$
$509$	8.24940e7	−	2.68039e7i	0.625560	−	0.203257i	0.604607	+	0.796524i	$0.293330\pi$
$510$	−1.43976e7	+	1.14277e7i	−0.108538	+	0.0861483i
$511$	1.76769e7	−	5.44038e7i	0.132478	−	0.407725i
$512$	−2.17035e7	−	1.10585e7i	−0.161704	−	0.0823922i
$513$	−6.77304e7	+	1.32928e8i	−0.501686	+	0.984614i
$514$	−3.41637e7	−	1.11005e7i	−0.251580	−	0.0817433i
$515$	−9.27758e7	+	3.45761e7i	−0.679224	+	0.253136i
$516$	−1.06422e7	−	3.27534e7i	−0.0774610	−	0.238400i
$517$	−9.14844e6	+	5.77610e7i	−0.0662026	+	0.417987i
$518$	7.47413e7	+	7.47413e7i	0.537739	+	0.537739i
$519$	2.40759e7	+	3.31377e7i	0.172219	+	0.237039i
$520$	−1.71594e8	−	7.84182e7i	−1.22037	−	0.557708i
$521$	−1.32259e8	−	9.60917e7i	−0.935215	−	0.679473i	0.0120491	−	0.999927i	$-0.496165\pi$
$521$	−1.32259e8	−	9.60917e7i	−0.935215	−	0.679473i	−0.947264	+	0.320454i	$0.896165\pi$
$522$	−1.33212e8	+	2.10987e7i	−0.936553	+	0.148335i
$523$	−2.13043e8	+	1.08551e8i	−1.48923	+	0.758800i	−0.993940	−	0.109927i	$-0.964938\pi$
$523$	−2.13043e8	+	1.08551e8i	−1.48923	+	0.758800i	−0.495290	+	0.868728i	$0.664938\pi$
$524$			3.04674e7i			0.211759i
$525$	−7.05617e7	−	1.64471e7i	−0.487631	−	0.113661i
$526$	−1.02407e6			−0.00703674
$527$	−5.47967e6	−	1.07545e7i	−0.0374389	−	0.0734779i
$528$	399424.	+	2.52186e6i	0.00271351	+	0.0171324i
$529$	7.95236e7	−	1.09455e8i	0.537192	−	0.739381i
$530$	3.71086e7	+	3.40757e7i	0.249257	+	0.228885i
$531$	−4.42453e7	+	3.21461e7i	−0.295517	+	0.214706i
$532$	1.30782e8	−	1.30782e8i	0.868584	−	0.868584i
$533$	2.62425e8	+	4.15640e7i	1.73310	+	0.274496i
$534$	−1.16342e7	+	3.78019e6i	−0.0764037	+	0.0248251i
$535$	−1.03125e8	−	6.84131e7i	−0.673444	−	0.446764i
$536$	2.44162e7	−	7.51452e7i	0.158556	−	0.487986i
$537$	1.34917e7	+	6.87435e6i	0.0871250	+	0.0443924i
$538$	−8.25058e6	+	1.61927e7i	−0.0529831	+	0.103985i
$539$	−6.04278e7	−	1.96342e7i	−0.385896	−	0.125385i
$540$	2.68605e6	+	6.30441e7i	0.0170582	+	0.400372i
$541$	6.89508e7	+	2.12209e8i	0.435460	+	1.34021i	0.892615	+	0.450820i	$0.148868\pi$
$541$	6.89508e7	+	2.12209e8i	0.435460	+	1.34021i	−0.457155	+	0.889387i	$0.651132\pi$
$542$	8.25890e6	−	5.21446e7i	0.0518710	−	0.327500i
$543$	−1.18540e6	−	1.18540e6i	−0.00740396	−	0.00740396i
$544$	−5.21339e7	−	7.17562e7i	−0.323835	−	0.445721i
$545$	−1.06399e8	−	1.88523e8i	−0.657278	−	1.16459i
$546$	−5.61164e7	−	4.07709e7i	−0.344756	−	0.250480i
$547$	2.29440e6	−	363398.i	0.0140187	−	0.00222035i	−0.149421	−	0.988774i	$-0.547741\pi$
$547$	2.29440e6	−	363398.i	0.0140187	−	0.00222035i	0.163440	+	0.986553i	$0.447741\pi$
$548$	9.78949e7	−	4.98800e7i	0.594865	−	0.303099i
$549$			2.06871e8i			1.25021i
$550$	4.68638e7	−	2.91467e7i	0.281676	−	0.175187i
$551$	4.50403e8			2.69244
$552$	4.04916e7	+	7.94693e7i	0.240740	+	0.472479i
$553$	−3.23649e7	−	2.04344e8i	−0.191381	−	1.20833i
$554$	−7.78113e7	+	1.07098e8i	−0.457629	+	0.629872i
$555$	5.53316e7	+	6.36328e6i	0.323664	+	0.0372222i
$556$	−1.38517e8	+	1.00638e8i	−0.805895	+	0.585517i
$557$	9.06713e7	−	9.06713e7i	0.524692	−	0.524692i	−0.394293	−	0.918985i	$-0.629010\pi$
$557$	9.06713e7	−	9.06713e7i	0.524692	−	0.524692i	0.918985	+	0.394293i	$0.129010\pi$
$558$	1.39021e7	+	2.20187e6i	0.0800159	+	0.0126733i
$559$	−2.52847e8	+	8.21551e7i	−1.44751	+	0.470326i
$560$	−5.75027e6	+	2.06503e7i	−0.0327434	+	0.117588i
$561$	−5.92217e6	+	1.82266e7i	−0.0335423	+	0.103232i
$562$	−1.07783e8	−	5.49183e7i	−0.607215	−	0.309391i
$563$	−8.24261e7	+	1.61770e8i	−0.461891	+	0.906512i	0.536161	+	0.844116i	$0.319874\pi$
$563$	−8.24261e7	+	1.61770e8i	−0.461891	+	0.906512i	−0.998051	+	0.0623960i	$0.980126\pi$
$564$	−3.05131e7	−	9.91432e6i	−0.170079	−	0.0552619i
$565$	5.04286e7	+	1.40423e7i	0.279596	+	0.0778562i
$566$	−5.65490e7	−	1.74040e8i	−0.311871	−	0.959841i
$567$	2.29565e7	−	1.44942e8i	0.125938	−	0.795142i
$568$	4.20341e7	+	4.20341e7i	0.229381	+	0.229381i
$569$	1.36623e8	+	1.88045e8i	0.741628	+	1.02076i	0.998523	+	0.0543239i	$0.0173004\pi$
$569$	1.36623e8	+	1.88045e8i	0.741628	+	1.02076i	−0.256896	+	0.966439i	$0.582700\pi$
$570$	−8.17835e6	+	7.11145e7i	−0.0441612	+	0.384002i
$571$	−1.25119e8	−	9.09044e7i	−0.672072	−	0.488289i	0.198646	−	0.980071i	$-0.436345\pi$
$571$	−1.25119e8	−	9.09044e7i	−0.672072	−	0.488289i	−0.870718	+	0.491783i	$0.836345\pi$
$572$	−7.10466e7	+	1.12527e7i	−0.379625	+	0.0601267i
$573$	6.19540e7	−	3.15672e7i	0.329311	−	0.167792i
$574$		−	2.21279e8i		−	1.17005i
$575$	1.69481e8	−	2.01118e8i	0.891493	−	1.05791i
$576$	1.18408e8			0.619601
$577$	6.73711e7	+	1.32223e8i	0.350708	+	0.688304i	0.997213	−	0.0746060i	$-0.0237699\pi$
$577$	6.73711e7	+	1.32223e8i	0.350708	+	0.688304i	−0.646505	+	0.762910i	$0.723770\pi$
$578$	−1.32719e7	−	8.37952e7i	−0.0687303	−	0.433946i
$579$	3.83329e7	−	5.27607e7i	0.197486	−	0.271816i
$580$	1.65904e8	−	9.36336e7i	0.850303	−	0.479897i
$581$	−7.30189e6	+	5.30513e6i	−0.0372312	+	0.0270500i
$582$	3.88122e7	−	3.88122e7i	0.196879	−	0.196879i
$583$	5.18798e7	+	8.21695e6i	0.261814	+	0.0414672i
$584$	−6.21677e7	+	2.01995e7i	−0.312123	+	0.101415i
$585$	2.25084e8	−	9.58987e6i	1.12428	−	0.0479011i
$586$	−1.24699e7	+	3.83785e7i	−0.0619685	+	0.190719i
$587$	−2.47886e8	−	1.26304e8i	−1.22557	−	0.624460i	−0.283210	−	0.959058i	$-0.591399\pi$
$587$	−2.47886e8	−	1.26304e8i	−1.22557	−	0.624460i	−0.942361	+	0.334598i	$0.891399\pi$
$588$	1.58250e7	−	3.10582e7i	0.0778414	−	0.152772i
$589$	−4.47036e7	−	1.45251e7i	−0.218774	−	0.0710841i
$590$	−3.13665e7	+	4.72813e7i	−0.152725	+	0.230215i
$591$	2.49409e7	+	7.67602e7i	0.120823	+	0.371855i
$592$	2.57778e6	−	1.62754e7i	0.0124245	−	0.0784455i
$593$	−5.56733e7	−	5.56733e7i	−0.266983	−	0.266983i	0.560901	−	0.827883i	$-0.310455\pi$
$593$	−5.56733e7	−	5.56733e7i	−0.266983	−	0.266983i	−0.827883	+	0.560901i	$0.810455\pi$
$594$	−2.84035e7	−	3.90940e7i	−0.135523	−	0.186531i
$595$	−1.08824e8	+	1.18509e8i	−0.516621	+	0.562602i
$596$	5.71842e7	+	4.15467e7i	0.270108	+	0.196245i
$597$	8.12190e7	−	1.28638e7i	0.381711	−	0.0604571i
$598$	2.24348e8	−	1.14311e8i	1.04910	−	0.534545i
$599$		−	1.85046e8i		−	0.860991i	−0.902593	−	0.430495i	$-0.858339\pi$
$599$		−	1.85046e8i		−	0.860991i	0.902593	−	0.430495i	$-0.141661\pi$
$600$	3.21891e7	+	7.62791e7i	0.149024	+	0.353144i
$601$	−1.97649e8			−0.910482			−0.455241	−	0.890368i	$-0.650447\pi$
$601$	−1.97649e8			−0.910482			−0.455241	+	0.890368i	$0.650447\pi$
$602$	1.00520e8	+	1.97282e8i	0.460748	+	0.904269i
$603$	1.47597e7	+	9.31891e7i	0.0673172	+	0.425024i
$604$	5.25757e6	−	7.23642e6i	0.0238602	−	0.0328407i
$605$	−6.81278e7	+	1.49077e8i	−0.307651	+	0.673199i
$606$	3.89688e7	−	2.83125e7i	0.175105	−	0.127221i
$607$	1.56702e8	−	1.56702e8i	0.700663	−	0.700663i	−0.263890	−	0.964553i	$-0.585006\pi$
$607$	1.56702e8	−	1.56702e8i	0.700663	−	0.700663i	0.964553	+	0.263890i	$0.0850055\pi$
$608$	−3.41154e8	−	5.40334e7i	−1.51789	−	0.240410i
$609$	1.82152e8	−	5.91847e7i	0.806457	−	0.262034i
$610$	7.49509e7	+	2.01111e8i	0.330208	+	0.886024i
$611$	−7.65359e7	+	2.35553e8i	−0.335538	+	1.03268i
$612$	5.77431e7	+	2.94216e7i	0.251910	+	0.128355i
$613$	7.44976e7	−	1.46210e8i	0.323416	−	0.634739i	−0.670860	−	0.741584i	$-0.734075\pi$
$613$	7.44976e7	−	1.46210e8i	0.323416	−	0.634739i	0.994276	+	0.106845i	$0.0340749\pi$
$614$	1.04381e8	+	3.39155e7i	0.450938	+	0.146519i
$615$	−7.24877e7	−	9.13268e7i	−0.311630	−	0.392620i
$616$	5.06220e7	+	1.55799e8i	0.216570	+	0.666533i
$617$	1.55963e7	−	9.84713e7i	0.0663998	−	0.419232i	−0.931989	−	0.362487i	$-0.881928\pi$
$617$	1.55963e7	−	9.84713e7i	0.0663998	−	0.419232i	0.998389	−	0.0567451i	$-0.0180722\pi$
$618$	2.94131e7	+	2.94131e7i	0.124617	+	0.124617i
$619$	−4.49827e7	−	6.19134e7i	−0.189659	−	0.261043i	0.703589	−	0.710607i	$-0.251580\pi$
$619$	−4.49827e7	−	6.19134e7i	−0.189659	−	0.261043i	−0.893248	+	0.449564i	$0.851580\pi$
$620$	−1.94860e7	+	3.94311e6i	−0.0817613	+	0.0165449i
$621$	−1.86307e8	−	1.35360e8i	−0.777955	−	0.565217i
$622$	−1.50540e8	+	2.38432e7i	−0.625576	+	0.0990815i
$623$	−9.54048e7	+	4.86112e7i	−0.394554	+	0.201035i
$624$			1.08136e7i			0.0445057i
$625$	1.70333e8	−	1.74904e8i	0.697683	−	0.716407i
$626$	9.96185e6			0.0406085
$627$	3.38823e7	+	6.64979e7i	0.137458	+	0.269777i
$628$	1.79659e7	+	1.13432e8i	0.0725386	+	0.457991i
$629$	7.26991e7	−	1.00062e8i	0.292131	−	0.402083i
$630$	−3.72129e7	−	1.83898e8i	−0.148824	−	0.735455i
$631$	−2.07237e8	+	1.50567e8i	−0.824859	+	0.599295i	−0.918100	−	0.396349i	$-0.870277\pi$
$631$	−2.07237e8	+	1.50567e8i	−0.824859	+	0.599295i	0.0932413	+	0.995644i	$0.470277\pi$
$632$	−1.67171e8	+	1.67171e8i	−0.662232	+	0.662232i
$633$	−1.81311e8	−	2.87168e7i	−0.714845	−	0.113220i
$634$	1.93776e8	−	6.29616e7i	0.760382	−	0.247063i
$635$	1.24012e7	−	9.84306e6i	0.0484332	−	0.0384423i
$636$	−8.90485e6	+	2.74063e7i	−0.0346143	+	0.106532i
$637$	−2.39761e8	−	1.22164e8i	−0.927600	−	0.472636i
$638$	−6.62313e7	+	1.29986e8i	−0.255036	+	0.500536i
$639$	−6.75108e7	−	2.19356e7i	−0.258744	−	0.0840711i
$640$	−1.22337e8	+	4.55930e7i	−0.466677	+	0.173924i
$641$	9.70403e7	+	2.98659e8i	0.368450	+	1.13397i	0.947793	+	0.318887i	$0.103309\pi$
$641$	9.70403e7	+	2.98659e8i	0.368450	+	1.13397i	−0.579343	+	0.815084i	$0.696691\pi$
$642$	−8.13339e6	+	5.13522e7i	−0.0307374	+	0.194068i
$643$	−1.69058e8	−	1.69058e8i	−0.635922	−	0.635922i	0.313625	−	0.949547i	$-0.398457\pi$
$643$	−1.69058e8	−	1.69058e8i	−0.635922	−	0.635922i	−0.949547	+	0.313625i	$0.898457\pi$
$644$	1.67809e8	+	2.30969e8i	0.628286	+	0.864762i
$645$	1.06114e8	+	4.84938e7i	0.395450	+	0.180720i
$646$	1.28603e8	+	9.34359e7i	0.477040	+	0.346590i
$647$	−3.38534e8	+	5.36185e7i	−1.24994	+	0.197971i	−0.746105	−	0.665828i	$-0.768078\pi$
$647$	−3.38534e8	+	5.36185e7i	−1.24994	+	0.197971i	−0.503836	+	0.863799i	$0.668078\pi$
$648$	−1.49414e8	+	7.61300e7i	−0.549117	+	0.279789i
$649$			5.91564e7i			0.216405i
$650$	2.15342e8	−	9.08723e7i	0.784130	−	0.330896i
$651$	−1.99877e7			−0.0724468
$652$	−5.81178e7	−	1.14063e8i	−0.209685	−	0.411529i
$653$	−6.18669e7	−	3.90613e8i	−0.222187	−	1.40284i	−0.806465	−	0.591281i	$-0.798622\pi$
$653$	−6.18669e7	−	3.90613e8i	−0.222187	−	1.40284i	0.584278	−	0.811554i	$-0.301378\pi$
$654$	−5.34574e7	+	7.35778e7i	−0.191106	+	0.263035i
$655$	−7.60247e7	−	6.98112e7i	−0.270540	−	0.248428i
$656$	−2.79084e7	+	2.02766e7i	−0.0988605	+	0.0718263i
$657$	5.51942e7	−	5.51942e7i	0.194625	−	0.194625i
$658$	2.03731e8	+	3.22678e7i	0.715120	+	0.113264i
$659$	−2.59921e8	+	8.44536e7i	−0.908209	+	0.295095i	−0.725621	−	0.688095i	$-0.758447\pi$
$659$	−2.59921e8	+	8.44536e7i	−0.908209	+	0.295095i	−0.182588	+	0.983190i	$0.558447\pi$
$660$	2.63046e7	+	1.74505e7i	0.0914956	+	0.0606983i
$661$	1.51854e8	−	4.67359e8i	0.525802	−	1.61825i	−0.236921	−	0.971529i	$-0.576138\pi$
$661$	1.51854e8	−	4.67359e8i	0.525802	−	1.61825i	0.762724	−	0.646725i	$-0.223862\pi$
$662$	−1.18791e8	−	6.05269e7i	−0.409457	−	0.208629i
$663$	−3.68480e7	+	7.23182e7i	−0.126437	+	0.248146i
$664$	9.80888e6	+	3.18710e6i	0.0335054	+	0.0108866i
$665$	2.66713e7	+	6.26001e8i	0.0906941	+	2.12868i
$666$	4.45701e7	+	1.37173e8i	0.150876	+	0.464350i
$667$	−1.08760e8	+	6.86682e8i	−0.366514	+	2.31408i
$668$	1.05600e7	+	1.05600e7i	0.0354270	+	0.0354270i
$669$	−1.65889e7	−	2.28326e7i	−0.0554036	−	0.0762565i
$670$	4.81118e7	+	8.52467e7i	0.159966	+	0.283435i
$671$	1.81030e8	+	1.31526e8i	0.599214	+	0.435355i
$672$	−1.45069e8	+	2.29767e7i	−0.478044	+	0.0757148i
$673$	4.17917e8	−	2.12939e8i	1.37102	−	0.698572i	0.395500	−	0.918466i	$-0.370571\pi$
$673$	4.17917e8	−	2.12939e8i	1.37102	−	0.698572i	0.975524	+	0.219894i	$0.0705713\pi$
$674$		−	2.68900e8i		−	0.878237i
$675$	−1.63467e8	−	1.37753e8i	−0.531519	−	0.447909i
$676$	−1.26543e8			−0.409637
$677$	1.49815e8	+	2.94029e8i	0.482825	+	0.947598i	0.996003	+	0.0893159i	$0.0284681\pi$
$677$	1.49815e8	+	2.94029e8i	0.482825	+	0.947598i	−0.513178	+	0.858282i	$0.671532\pi$
$678$	−3.44038e6	−	2.17217e7i	−0.0110387	−	0.0696955i
$679$	2.82397e8	−	3.88686e8i	0.902092	−	1.24162i
$680$	1.82651e8	+	2.10054e7i	0.580893	+	0.0668042i
$681$	1.13031e8	−	8.21220e7i	0.357896	−	0.260027i
$682$	1.07656e7	−	1.07656e7i	0.0339378	−	0.0339378i
$683$	1.17252e8	+	1.85709e7i	0.368010	+	0.0582870i	0.337701	−	0.941254i	$-0.390351\pi$
$683$	1.17252e8	+	1.85709e7i	0.368010	+	0.0582870i	0.0303091	+	0.999541i	$0.490351\pi$
$684$	2.40024e8	−	7.79884e7i	0.750042	−	0.243703i
$685$	−9.98461e7	+	3.58567e8i	−0.310642	+	1.11557i
$686$	1.77476e7	−	5.46214e7i	0.0549752	−	0.169196i
$687$	6.84913e7	+	3.48981e7i	0.211235	+	0.107629i
$688$	1.56708e7	−	3.07556e7i	0.0481199	−	0.0944407i
$689$	2.11569e8	+	6.87430e7i	0.646837	+	0.210170i
$690$	−1.06446e8	−	2.96409e7i	−0.324028	−	0.0902284i
$691$	8.20265e7	+	2.52452e8i	0.248611	+	0.765145i	0.995022	+	0.0996598i	$0.0317754\pi$
$691$	8.20265e7	+	2.52452e8i	0.248611	+	0.765145i	−0.746411	+	0.665485i	$0.768225\pi$
$692$	2.34374e7	−	1.47978e8i	0.0707281	−	0.446559i
$693$	−1.38322e8	−	1.38322e8i	−0.415617	−	0.415617i
$694$	1.14039e8	+	1.56961e8i	0.341173	+	0.469584i
$695$	6.62685e7	−	5.76235e8i	0.197402	−	1.71650i
$696$	−1.77060e8	−	1.28641e8i	−0.525161	−	0.381552i
$697$	−2.55737e8	+	4.05048e7i	−0.755258	+	0.119621i
$698$	−3.58119e8	+	1.82471e8i	−1.05308	+	0.536571i
$699$		−	1.35484e8i		−	0.396695i
$700$	1.39963e8	+	2.25041e8i	0.408055	+	0.656096i
$701$	−4.20133e8			−1.21964			−0.609822	−	0.792538i	$-0.708759\pi$
$701$	−4.20133e8			−1.21964			−0.609822	+	0.792538i	$0.708759\pi$
$702$	−9.29111e7	−	1.82348e8i	−0.268569	−	0.527097i
$703$	−7.53479e7	−	4.75728e8i	−0.216873	−	1.36928i
$704$	7.52820e7	−	1.03617e8i	0.215761	−	0.296970i
$705$	9.46548e7	−	5.34216e7i	0.270132	−	0.152458i
$706$	−1.40819e8	+	1.02311e8i	−0.400171	+	0.290741i
$707$	2.98128e8	−	2.98128e8i	0.843615	−	0.843615i
$708$	−3.20544e7	−	5.07692e6i	−0.0903208	−	0.0143054i
$709$	5.22633e7	−	1.69814e7i	0.146642	−	0.0476468i	−0.234776	−	0.972049i	$-0.575436\pi$
$709$	5.22633e7	−	1.69814e7i	0.146642	−	0.0476468i	0.381418	+	0.924403i	$0.375436\pi$
$710$	−7.35784e7	+	3.13487e6i	−0.205577	+	0.00875879i
$711$	8.72387e7	−	2.68493e8i	0.242717	−	0.747007i
$712$	1.09020e8	+	5.55484e7i	0.302041	+	0.153898i
$713$	3.29395e7	−	6.46475e7i	0.0908759	−	0.178354i
$714$	6.42876e7	+	2.08883e7i	0.176617	+	0.0573864i
$715$	1.34713e8	−	2.03064e8i	0.368546	−	0.555541i
$716$	−1.71152e7	−	5.26750e7i	−0.0466275	−	0.143505i
$717$	3.28727e7	−	2.07550e8i	0.0891821	−	0.563074i
$718$	−2.53874e8	−	2.53874e8i	−0.685875	−	0.685875i
$719$	−2.27898e8	−	3.13675e8i	−0.613132	−	0.843903i	0.383699	−	0.923458i	$-0.374650\pi$
$719$	−2.27898e8	−	3.13675e8i	−0.613132	−	0.843903i	−0.996830	+	0.0795550i	$0.974650\pi$
$720$	−1.97839e7	+	2.15447e7i	−0.0530046	+	0.0577222i
$721$	2.94559e8	+	2.14009e8i	0.785898	+	0.570988i
$722$	3.69521e8	−	5.85264e7i	0.981811	−	0.155504i
$723$	−1.65666e8	+	8.44109e7i	−0.438347	+	0.223349i
$724$			6.13186e6i			0.0161576i
$725$	−1.46501e8	+	6.28523e8i	−0.384439	+	1.64933i
$726$	6.88613e7			0.179956
$727$	−6.72059e7	−	1.31899e8i	−0.174906	−	0.343272i	0.786866	−	0.617124i	$-0.211702\pi$
$727$	−6.72059e7	−	1.31899e8i	−0.174906	−	0.343272i	−0.961772	+	0.273852i	$0.911702\pi$
$728$	1.08532e8	+	6.85244e8i	0.281296	+	1.77603i
$729$	5.85631e7	−	8.06053e7i	0.151162	−	0.208056i
$730$	3.36601e7	−	7.36547e7i	0.0865260	−	0.189335i
$731$	2.09603e8	−	1.52286e8i	0.536595	−	0.389859i
$732$	−8.68047e7	+	8.68047e7i	−0.221315	+	0.221315i
$733$	1.58147e7	+	2.50480e6i	0.0401558	+	0.00636006i	0.176480	−	0.984304i	$-0.443529\pi$
$733$	1.58147e7	+	2.50480e6i	0.0401558	+	0.00636006i	−0.136324	+	0.990664i	$0.543529\pi$
$734$	4.65105e7	−	1.51122e7i	0.117615	−	0.0382154i
$735$	4.12385e7	+	1.10653e8i	0.103858	+	0.278676i
$736$	1.64758e8	−	5.07074e8i	0.413251	−	1.27186i
$737$	9.09324e7	+	4.63324e7i	0.227152	+	0.115740i
$738$	1.37079e8	−	2.69033e8i	0.341038	−	0.669325i
$739$	−1.53647e8	−	4.99230e7i	−0.380707	−	0.123699i	0.112411	−	0.993662i	$-0.464143\pi$
$739$	−1.53647e8	−	4.99230e7i	−0.380707	−	0.123699i	−0.493118	+	0.869963i	$0.664143\pi$
$740$	−1.26653e8	−	1.59569e8i	−0.312550	−	0.393779i
$741$	9.76736e7	+	3.00608e8i	0.240062	+	0.738833i
$742$	2.89823e7	−	1.82987e8i	0.0709449	−	0.447929i
$743$	3.07588e8	+	3.07588e8i	0.749898	+	0.749898i	0.974460	−	0.224562i	$-0.0720950\pi$
$743$	3.07588e8	+	3.07588e8i	0.749898	+	0.749898i	−0.224562	+	0.974460i	$0.572095\pi$
$744$	1.34251e7	+	1.84780e7i	0.0325985	+	0.0448679i
$745$	−2.34699e8	+	4.74927e7i	−0.567600	+	0.114857i
$746$	−2.03742e8	−	1.48027e8i	−0.490755	−	0.356554i
$747$	−1.21642e7	+	1.92662e6i	−0.0291824	+	0.00462204i
$748$	6.24587e7	−	3.18243e7i	0.149241	−	0.0760421i
$749$			4.55090e8i			1.08306i
$750$	−9.65780e7	−	3.45439e7i	−0.228926	−	0.0818817i
$751$	2.58887e8			0.611211			0.305605	−	0.952158i	$-0.401141\pi$
$751$	2.58887e8			0.611211			0.305605	+	0.952158i	$0.401141\pi$
$752$	−1.45989e7	−	2.86520e7i	−0.0343295	−	0.0673754i
$753$	−4.42240e7	−	2.79219e8i	−0.103579	−	0.653974i
$754$	−3.63164e8	+	4.99853e8i	−0.847207	+	1.16608i
$755$	6.01000e6	+	2.97002e7i	0.0139648	+	0.0690109i
$756$	1.87730e8	−	1.36394e8i	0.434479	−	0.315667i
$757$	−1.24186e7	+	1.24186e7i	−0.0286277	+	0.0286277i	−0.721276	−	0.692648i	$-0.756444\pi$
$757$	−1.24186e7	+	1.24186e7i	−0.0286277	+	0.0286277i	0.692648	+	0.721276i	$0.256444\pi$
$758$	−4.21045e8	−	6.66870e7i	−0.966765	−	0.153120i
$759$	−1.09564e8	+	3.55995e7i	−0.250578	+	0.0814176i
$760$	5.60806e8	−	4.45121e8i	1.27753	−	1.01400i
$761$	−2.10695e8	+	6.48453e8i	−0.478080	+	1.47138i	0.363678	+	0.931525i	$0.381521\pi$
$761$	−2.10695e8	+	6.48453e8i	−0.478080	+	1.47138i	−0.841758	+	0.539855i	$0.818479\pi$
$762$	−5.92676e6	−	3.01983e6i	−0.0133953	−	0.00682524i
$763$	−3.61405e8	+	7.09297e8i	−0.813617	+	1.59681i
$764$	−2.41885e8	−	7.85931e7i	−0.542411	−	0.176240i
$765$	−2.05724e8	+	7.66702e7i	−0.459516	+	0.171255i
$766$	−3.17267e7	−	9.76448e7i	−0.0705893	−	0.217252i
$767$	−3.91924e7	+	2.47451e8i	−0.0868593	+	0.548408i
$768$	1.24964e8	+	1.24964e8i	0.275867	+	0.275867i
$769$	−1.25993e8	−	1.73414e8i	−0.277055	−	0.381334i	0.647701	−	0.761895i	$-0.275731\pi$
$769$	−1.25993e8	−	1.73414e8i	−0.277055	−	0.381334i	−0.924756	+	0.380561i	$0.875731\pi$
$770$	−1.84586e8	−	8.43556e7i	−0.404321	−	0.184774i
$771$	5.63126e7	+	4.09135e7i	0.122869	+	0.0892695i
$772$	−2.35606e8	+	3.73164e7i	−0.512076	+	0.0811049i
$773$	4.60776e8	−	2.34777e8i	0.997589	−	0.508297i	0.122609	−	0.992455i	$-0.460874\pi$
$773$	4.60776e8	−	2.34777e8i	0.997589	−	0.508297i	0.874981	+	0.484158i	$0.160874\pi$
$774$			3.02129e8i			0.651582i
$775$	3.48099e7	−	5.76580e7i	0.0747821	−	0.123867i
$776$	−5.49006e8			−1.17488
$777$	−9.29847e7	−	1.82493e8i	−0.198220	−	0.389029i
$778$	2.75761e7	+	1.74109e8i	0.0585590	+	0.369727i
$779$	−5.92681e8	+	8.15755e8i	−1.25374	+	1.72563i
$780$	9.84709e7	+	9.04229e7i	0.207503	+	0.190544i
$781$	−6.21180e7	+	4.51314e7i	−0.130396	+	0.0947383i
$782$	−1.73506e8	+	1.73506e8i	−0.362823	+	0.362823i
$783$	5.58130e8	+	8.83991e7i	1.16265	+	0.184146i
$784$	3.32274e7	−	1.07962e7i	0.0689522	−	0.0224039i
$785$	−3.24210e8	−	2.15081e8i	−0.670220	−	0.444625i
$786$	−1.34000e7	+	4.12410e7i	−0.0275955	+	0.0849302i
$787$	6.82349e8	+	3.47674e8i	1.39985	+	0.713260i	0.980857	−	0.194728i	$-0.0623825\pi$
$787$	6.82349e8	+	3.47674e8i	1.39985	+	0.713260i	0.418995	+	0.907989i	$0.362383\pi$
$788$	1.34026e8	−	2.63041e8i	0.273912	−	0.537583i
$789$	1.88723e6	+	613197.i	0.00384231	+	0.00124844i
$790$	−1.24675e7	−	2.92624e8i	−0.0252870	−	0.593511i
$791$	−5.94859e7	−	1.83079e8i	−0.120194	−	0.369920i
$792$	−3.49684e7	+	2.20782e8i	−0.0703882	+	0.444414i
$793$	6.70109e8	+	6.70109e8i	1.34377	+	1.34377i
$794$	2.72108e8	+	3.74524e8i	0.543600	+	0.748201i
$795$	−4.79823e7	−	8.50172e7i	−0.0954947	−	0.169202i
$796$	−2.43337e8	−	1.76795e8i	−0.482469	−	0.350535i
$797$	6.51622e8	−	1.03207e8i	1.28713	−	0.203861i	0.524895	−	0.851167i	$-0.324104\pi$
$797$	6.51622e8	−	1.03207e8i	1.28713	−	0.203861i	0.762230	+	0.647306i	$0.224104\pi$
$798$	2.34547e8	−	1.19508e8i	0.461553	−	0.235173i
$799$		−	2.41363e8i		−	0.473185i
$800$	1.86368e8	−	4.58494e8i	0.364000	−	0.895497i
$801$	−1.46108e8			−0.284300
$802$	1.16325e8	+	2.28300e8i	0.225502	+	0.442572i
$803$	−1.32079e7	−	8.33914e7i	−0.0255086	−	0.161055i
$804$	−3.29096e7	+	4.52962e7i	−0.0633220	+	0.0871552i
$805$	−9.60839e8	−	1.10499e8i	−1.84189	−	0.211822i
$806$	5.21648e7	−	3.78999e7i	0.0996259	−	0.0723825i
$807$	2.49007e7	−	2.49007e7i	0.0473795	−	0.0473795i
$808$	−4.75853e8	−	7.53677e7i	−0.902066	−	0.142873i
$809$	−3.98777e8	+	1.29570e8i	−0.753154	+	0.244715i	−0.660338	−	0.750969i	$-0.729587\pi$
$809$	−3.98777e8	+	1.29570e8i	−0.753154	+	0.244715i	−0.0928165	+	0.995683i	$0.529587\pi$
$810$	5.57290e7	−	2.00134e8i	0.104864	−	0.376587i
$811$	−3.47920e7	+	1.07079e8i	−0.0652254	+	0.200743i	−0.978358	−	0.206920i	$-0.933656\pi$
$811$	−3.47920e7	+	1.07079e8i	−0.0652254	+	0.200743i	0.913133	+	0.407663i	$0.133656\pi$
$812$	−6.24196e8	−	3.18044e8i	−1.16588	−	0.594045i
$813$	−4.64435e7	+	9.11506e7i	−0.0864278	+	0.169624i
$814$	1.48375e8	+	4.82099e7i	0.275098	+	0.0893847i
$815$	4.17785e8	+	1.16336e8i	0.771757	+	0.214903i
$816$	−3.25642e6	−	1.00222e7i	−0.00599335	−	0.0184456i
$817$	1.57834e8	−	9.96527e8i	0.289424	−	1.82735i
$818$	1.23249e8	+	1.23249e8i	0.225176	+	0.225176i
$819$	−4.86961e8	−	6.70245e8i	−0.886426	−	1.22006i
$820$	−4.87257e7	+	4.23692e8i	−0.0883724	+	0.768438i
$821$	−3.06778e8	−	2.22888e8i	−0.554364	−	0.402769i	0.275028	−	0.961436i	$-0.411313\pi$
$821$	−3.06778e8	−	2.22888e8i	−0.554364	−	0.402769i	−0.829392	+	0.558667i	$0.811313\pi$
$822$	1.54449e8	−	2.44624e7i	0.278081	−	0.0440437i
$823$	−6.57077e8	+	3.34798e8i	−1.17874	+	0.600597i	−0.929851	−	0.367936i	$-0.880065\pi$
$823$	−6.57077e8	+	3.34798e8i	−1.17874	+	0.600597i	−0.248886	+	0.968533i	$0.580065\pi$
$824$		−	4.16054e8i		−	0.743649i
$825$	−1.03817e8	+	2.56522e7i	−0.184886	+	0.0456839i
$826$	2.08653e8			0.370241
$827$	1.56273e8	+	3.06704e8i	0.276292	+	0.542254i	0.986900	−	0.161335i	$-0.0515799\pi$
$827$	1.56273e8	+	3.06704e8i	0.276292	+	0.542254i	−0.710608	+	0.703588i	$0.751580\pi$
$828$	6.09417e7	+	3.84771e8i	0.107355	+	0.677815i
$829$	2.93980e8	−	4.04628e8i	0.516005	−	0.710220i	−0.468913	−	0.883245i	$-0.655354\pi$
$829$	2.93980e8	−	4.04628e8i	0.516005	−	0.710220i	0.984917	+	0.173025i	$0.0553541\pi$
$830$	−1.11275e7	+	6.28015e6i	−0.0194608	+	0.0109834i
$831$	2.07525e8	−	1.50776e8i	0.361632	−	0.262741i
$832$	3.83553e8	−	3.83553e8i	0.665971	−	0.665971i
$833$	2.59004e8	+	4.10222e7i	0.448097	+	0.0709716i
$834$	−2.31760e8	+	7.53035e7i	−0.399522	+	0.129813i
$835$	−5.05466e7	+	2.15358e6i	−0.0868225	+	0.00369914i
$836$	8.43573e7	−	2.59625e8i	0.144379	−	0.444353i
$837$	−5.25450e7	−	2.67730e7i	−0.0896097	−	0.0456584i
$838$	−1.17844e8	+	2.31282e8i	−0.200252	+	0.393016i
$839$	3.53373e8	+	1.14818e8i	0.598340	+	0.194412i	0.592500	−	0.805571i	$-0.298141\pi$
$839$	3.53373e8	+	1.14818e8i	0.598340	+	0.194412i	0.00583991	+	0.999983i	$0.498141\pi$
$840$	1.68310e8	−	2.53708e8i	0.283970	−	0.428052i
$841$	−3.43373e8	−	1.05679e9i	−0.577269	−	1.77665i
$842$	1.74137e7	−	1.09946e8i	0.0291713	−	0.184180i
$843$	1.65746e8	+	1.65746e8i	0.276670	+	0.276670i
$844$	3.94671e8	+	5.43218e8i	0.656460	+	0.903539i
$845$	2.89954e8	−	3.15761e8i	0.480572	−	0.523345i
$846$	2.27709e8	+	1.65440e8i	0.376070	+	0.273231i
$847$	5.95323e8	−	9.42900e7i	0.979722	−	0.155173i
$848$	−2.57347e7	+	1.31125e7i	−0.0422018	+	0.0215029i
$849$			3.54594e8i			0.579439i
$850$	−1.72217e8	+	1.49071e8i	−0.280427	+	0.242737i
$851$	7.43487e8			1.20638
$852$	−1.91237e7	−	3.75324e7i	−0.0309210	−	0.0606859i
$853$	3.45000e7	+	2.17825e8i	0.0555869	+	0.350962i	0.999768	+	0.0215353i	$0.00685544\pi$
$853$	3.45000e7	+	2.17825e8i	0.0555869	+	0.350962i	−0.944181	+	0.329427i	$0.893145\pi$
$854$	4.63910e8	−	6.38517e8i	0.744834	−	1.02518i
$855$	−3.55373e8	+	7.77623e8i	−0.568572	+	1.24414i
$856$	4.20717e8	−	3.05669e8i	0.670763	−	0.487338i
$857$	−6.17102e8	+	6.17102e8i	−0.980425	+	0.980425i	−0.999812	−	0.0193867i	$-0.993829\pi$
$857$	−6.17102e8	+	6.17102e8i	−0.980425	+	0.980425i	0.0193867	+	0.999812i	$0.493829\pi$
$858$	−1.01118e8	−	1.60156e7i	−0.160092	−	0.0253560i
$859$	−4.94140e8	+	1.60556e8i	−0.779598	+	0.253307i	−0.671669	−	0.740852i	$-0.734422\pi$
$859$	−4.94140e8	+	1.60556e8i	−0.779598	+	0.253307i	−0.107930	+	0.994159i	$0.534422\pi$
$860$	−1.49029e8	−	3.99879e8i	−0.234302	−	0.628686i
$861$	−1.32498e8	+	4.07788e8i	−0.207587	+	0.638888i
$862$	−3.19113e7	−	1.62596e7i	−0.0498222	−	0.0253857i
$863$	3.10943e8	−	6.10260e8i	0.483781	−	0.949473i	−0.512111	−	0.858919i	$-0.671136\pi$
$863$	3.10943e8	−	6.10260e8i	0.483781	−	0.949473i	0.995892	−	0.0905538i	$-0.0288637\pi$
$864$	−4.12146e8	−	1.33914e8i	−0.639013	−	0.207628i
$865$	3.15543e8	+	3.97551e8i	0.487540	+	0.614249i
$866$	−6.91646e7	−	2.12867e8i	−0.106495	−	0.327759i
$867$	−2.57170e7	+	1.62371e8i	−0.0394606	+	0.249144i
$868$	5.16964e7	+	5.16964e7i	0.0790499	+	0.0790499i
$869$	−1.79489e8	−	2.47046e8i	−0.273514	−	0.376459i
$870$	2.65751e8	−	5.37763e7i	0.403569	−	0.0816645i
$871$	3.49674e8	+	2.54053e8i	0.529187	+	0.384477i
$872$	8.98467e8	−	1.42303e8i	1.35504	−	0.214618i
$873$	5.84128e8	−	2.97628e8i	0.877941	−	0.447333i
$874$			9.55560e8i			1.43128i
$875$	−8.82241e8	−	1.66399e8i	−1.31693	−	0.248385i
$876$	4.63199e7			0.0689057
$877$	−5.49605e8	−	1.07866e9i	−0.814802	−	1.59914i	−0.800569	−	0.599240i	$-0.795469\pi$
$877$	−5.49605e8	−	1.07866e9i	−0.814802	−	1.59914i	−0.0142330	−	0.999899i	$-0.504531\pi$
$878$	−2.17474e7	−	1.37308e8i	−0.0321310	−	0.202867i
$879$	4.59609e7	−	6.32598e7i	0.0676740	−	0.0931453i
$880$	6.27513e6	+	3.10104e7i	0.00920820	+	0.0455050i
$881$	−2.45294e8	+	1.78217e8i	−0.358724	+	0.260628i	−0.752519	−	0.658570i	$-0.771162\pi$
$881$	−2.45294e8	+	1.78217e8i	−0.358724	+	0.260628i	0.393796	+	0.919198i	$0.371162\pi$
$882$	−2.16234e8	+	2.16234e8i	−0.315150	+	0.315150i
$883$	−2.85943e8	−	4.52889e7i	−0.415334	−	0.0657825i	−0.0547294	−	0.998501i	$-0.517430\pi$
$883$	−2.85943e8	−	4.52889e7i	−0.415334	−	0.0657825i	−0.360605	+	0.932719i	$0.617430\pi$
$884$	2.82349e8	−	9.17408e7i	0.408724	−	0.132802i
$885$	8.61158e7	−	6.83516e7i	0.124238	−	0.0986096i
$886$	−8.78791e7	+	2.70464e8i	−0.126353	+	0.388874i
$887$	1.04717e9	+	5.33561e8i	1.50054	+	0.764563i	0.995154	−	0.0983316i	$-0.0313506\pi$
$887$	1.04717e9	+	5.33561e8i	1.50054	+	0.764563i	0.505385	+	0.862894i	$0.331351\pi$
$888$	−1.06254e8	+	2.08536e8i	−0.151743	+	0.297812i
$889$	−5.53733e7	−	1.79919e7i	−0.0788125	−	0.0256077i
$890$	−1.42040e8	+	5.29361e7i	−0.201484	+	0.0750900i
$891$	−6.69321e7	−	2.05996e8i	−0.0946240	−	0.291223i
$892$	−1.61489e7	+	1.01960e8i	−0.0227536	+	0.143660i
$893$	−6.64637e8	−	6.64637e8i	−0.933319	−	0.933319i
$894$	5.91322e7	+	8.13885e7i	0.0827583	+	0.113907i
$895$	1.70655e8	+	7.79893e7i	0.238040	+	0.108784i
$896$	3.88413e8	+	2.82199e8i	0.539970	+	0.392311i
$897$	−4.81892e8	+	7.63241e7i	−0.667686	+	0.105751i
$898$	2.62405e8	−	1.33702e8i	0.362362	−	0.184633i
$899$			1.78039e8i			0.245039i
$900$	3.07587e7	+	3.60313e8i	0.0421930	+	0.494256i
$901$	−2.16788e8			−0.296388
$902$	−1.48274e8	−	2.91004e8i	−0.202044	−	0.396533i
$903$	−6.71162e7	−	4.23755e8i	−0.0911516	−	0.575508i
$904$	−1.29296e8	+	1.77961e8i	−0.175017	+	0.240890i
$905$	−1.53007e7	−	1.40502e7i	−0.0206426	−	0.0189555i
$906$	1.02994e7	−	7.48294e6i	0.0138493	−	0.0100621i
$907$	−8.20108e8	+	8.20108e8i	−1.09913	+	1.09913i	−0.104618	+	0.994512i	$0.533362\pi$
$907$	−8.20108e8	+	8.20108e8i	−1.09913	+	1.09913i	−0.994512	+	0.104618i	$0.966638\pi$
$908$	−5.04748e8	−	7.99442e7i	−0.674244	−	0.106790i
$909$	5.47154e8	−	1.77781e8i	0.728480	−	0.236697i
$910$	−7.16236e8	−	4.75152e8i	−0.950456	−	0.630534i
$911$	6.31790e7	−	1.94445e8i	0.0835637	−	0.257183i	−0.900541	−	0.434771i	$-0.856829\pi$
$911$	6.31790e7	−	1.94445e8i	0.0835637	−	0.257183i	0.984105	+	0.177588i	$0.0568294\pi$
$912$	−3.65651e7	−	1.86309e7i	−0.0482040	−	0.0245611i
$913$	−6.04787e6	+	1.18696e7i	−0.00794676	+	0.0155964i
$914$	−4.34472e8	−	1.41169e8i	−0.569014	−	0.184884i
$915$	−1.77027e7	−	4.15500e8i	−0.0231088	−	0.542386i
$916$	−8.68861e7	−	2.67408e8i	−0.113048	−	0.347927i
$917$	−5.93764e7	+	3.74888e8i	−0.0770026	+	0.486176i
$918$	1.41024e8	+	1.41024e8i	0.182292	+	0.182292i
$919$	3.29425e7	+	4.53414e7i	0.0424433	+	0.0584182i	0.829711	−	0.558193i	$-0.188505\pi$
$919$	3.29425e7	+	4.53414e7i	0.0424433	+	0.0584182i	−0.787268	+	0.616611i	$0.788505\pi$
$920$	5.43211e8	+	9.62486e8i	0.697598	+	1.23604i
$921$	−1.72053e8	−	1.25004e8i	−0.220233	−	0.160009i
$922$	−9.43797e8	+	1.49483e8i	−1.20416	+	0.190721i
$923$	−2.89740e8	+	1.47630e8i	−0.368471	+	0.187746i
$924$		−	1.16082e8i		−	0.147147i
$925$	6.88372e8	+	4.95929e7i	0.869757	+	0.0626606i
$926$	−6.26051e8			−0.788454
$927$	2.25552e8	+	4.42671e8i	0.283144	+	0.555701i
$928$	2.04664e8	+	1.29220e9i	0.256093	+	1.61691i
$929$	1.35283e8	−	1.86201e8i	0.168731	−	0.232238i	−0.716275	−	0.697818i	$-0.754154\pi$
$929$	1.35283e8	−	1.86201e8i	0.168731	−	0.232238i	0.885006	+	0.465580i	$0.154154\pi$
$930$	−2.81107e7	−	3.23280e6i	−0.0349480	−	0.00401912i
$931$	8.26177e8	−	6.00252e8i	1.02382	−	0.743849i
$932$	−3.50419e8	+	3.50419e8i	−0.432852	+	0.432852i
$933$	2.91702e8	+	4.62011e7i	0.359166	+	0.0568863i
$934$	4.50088e7	−	1.46242e7i	0.0552404	−	0.0179487i
$935$	−6.37036e7	+	2.28772e8i	−0.0779344	+	0.279877i
$936$	−2.92545e8	+	9.00362e8i	−0.356751	+	1.09797i
$937$	−1.12128e8	−	5.71319e7i	−0.136299	−	0.0694480i	0.384511	−	0.923120i	$-0.374370\pi$
$937$	−1.12128e8	−	5.71319e7i	−0.136299	−	0.0694480i	−0.520810	+	0.853672i	$0.674370\pi$
$938$	1.63421e8	−	3.20731e8i	0.198015	−	0.388627i
$939$	−1.83584e7	−	5.96501e6i	−0.0221737	−	0.00720467i
$940$	−3.82987e8	−	1.06646e8i	−0.461106	−	0.128399i
$941$	1.71731e7	+	5.28532e7i	0.0206100	+	0.0634311i	0.960833	−	0.277130i	$-0.0893831\pi$
$941$	1.71731e7	+	5.28532e7i	0.0206100	+	0.0634311i	−0.940223	+	0.340561i	$0.889383\pi$
$942$	−2.55703e7	+	1.61444e8i	−0.0305902	+	0.193139i
$943$	−1.10058e9	−	1.10058e9i	−1.31246	−	1.31246i
$944$	−1.91197e7	−	2.63159e7i	−0.0227281	−	0.0312826i
$945$	−8.98128e7	+	7.80963e8i	−0.106425	+	0.925412i
$946$	2.64388e8	+	1.92089e8i	0.312298	+	0.226898i
$947$	8.61953e8	−	1.36520e8i	1.01492	−	0.160748i	0.373254	−	0.927729i	$-0.378242\pi$
$947$	8.61953e8	−	1.36520e8i	1.01492	−	0.160748i	0.641670	+	0.766981i	$0.278242\pi$
$948$	1.49268e8	−	7.60558e7i	0.175203	−	0.0892704i
$949$		−	3.57577e8i		−	0.418380i
$950$	−6.37389e7	+	8.84724e8i	−0.0743419	+	1.03190i
$951$	−3.94804e8			−0.459029
$952$	−3.06945e8	−	6.02414e8i	−0.355754	−	0.698207i
$953$	−1.41214e8	−	8.91588e8i	−0.163154	−	1.03011i	−0.924337	−	0.381577i	$-0.875381\pi$
$953$	−1.41214e8	−	8.91588e8i	−0.163154	−	1.03011i	0.761183	−	0.648537i	$-0.224619\pi$
$954$	1.48595e8	−	2.04524e8i	0.171143	−	0.235559i
$955$	7.50351e8	−	4.23486e8i	0.861498	−	0.486215i
$956$	−6.21833e8	+	4.51788e8i	−0.711705	+	0.517084i
$957$	1.99890e8	−	1.99890e8i	0.228063	−	0.228063i
$958$	1.14737e8	+	1.81726e7i	0.130499	+	0.0206690i
$959$	1.30176e9	−	4.22967e8i	1.47596	−	0.479569i
$960$	−2.37822e8	+	1.01326e7i	−0.268806	+	0.0114527i
$961$	−2.68512e8	+	8.26395e8i	−0.302548	+	0.931146i
$962$	5.88712e8	+	2.99964e8i	0.661269	+	0.336933i
$963$	−2.81922e8	+	5.53304e8i	−0.315683	+	0.619562i
$964$	6.46802e8	+	2.10159e8i	0.722005	+	0.234594i
$965$	4.46739e8	−	6.73407e8i	0.497132	−	0.749369i
$966$	1.25564e8	+	3.86447e8i	0.139295	+	0.428705i
$967$	−6.26754e7	+	3.95717e8i	−0.0693134	+	0.437628i	0.928489	+	0.371361i	$0.121109\pi$
$967$	−6.26754e7	+	3.95717e8i	−0.0693134	+	0.437628i	−0.997802	+	0.0662667i	$0.978891\pi$
$968$	−4.87027e8	−	4.87027e8i	−0.536942	−	0.536942i
$969$	−1.81052e8	−	2.49196e8i	−0.198990	−	0.273886i
$970$	4.60030e8	−	5.00975e8i	0.504047	−	0.548909i
$971$	6.02266e8	+	4.37572e8i	0.657856	+	0.477960i	0.865938	−	0.500151i	$-0.166722\pi$
$971$	6.02266e8	+	4.37572e8i	0.657856	+	0.477960i	−0.208082	+	0.978111i	$0.566722\pi$
$972$	4.80841e8	−	7.61577e7i	0.523604	−	0.0829307i
$973$	−1.90051e9	+	9.68361e8i	−2.06316	+	1.05123i
$974$		−	1.04632e9i		−	1.13237i
$975$	−4.51260e8	+	3.85225e7i	−0.486870	+	0.0415624i
$976$	−1.23042e8			−0.132343
$977$	−7.32475e8	−	1.43756e9i	−0.785433	−	1.54150i	−0.839748	−	0.542976i	$-0.817298\pi$
$977$	−7.32475e8	−	1.43756e9i	−0.785433	−	1.54150i	0.0543152	−	0.998524i	$-0.482702\pi$
$978$	−2.85025e7	−	1.79957e8i	−0.0304695	−	0.192377i
$979$	−9.28937e7	+	1.27857e8i	−0.0990007	+	0.136263i
$980$	1.79534e8	−	3.92854e8i	0.190751	−	0.417400i
$981$	−8.78800e8	+	6.38486e8i	−0.930858	+	0.676308i
$982$	−6.70133e8	+	6.70133e8i	−0.707663	+	0.707663i
$983$	1.15780e9	+	1.83378e8i	1.21892	+	0.193058i	0.732561	−	0.680702i	$-0.238325\pi$
$983$	1.15780e9	+	1.83378e8i	1.21892	+	0.193058i	0.486358	+	0.873760i	$0.338325\pi$
$984$	4.65983e8	−	1.51407e8i	0.489085	−	0.158913i
$985$	3.49261e8	+	9.37149e8i	0.365461	+	0.980618i
$986$	1.86061e8	−	5.72637e8i	0.194100	−	0.597378i
$987$	−3.56128e8	−	1.81456e8i	−0.370386	−	0.188721i
$988$	5.24874e8	−	1.03012e9i	0.544232	−	1.06812i
$989$	1.48119e9	+	4.81267e8i	1.53116	+	0.497505i
$990$	−1.72165e8	−	2.16909e8i	−0.177435	−	0.223549i
$991$	−1.17410e8	−	3.61349e8i	−0.120638	−	0.371284i	0.872444	−	0.488715i	$-0.162534\pi$
$991$	−1.17410e8	−	3.61349e8i	−0.120638	−	0.371284i	−0.993081	+	0.117431i	$0.962534\pi$
$992$	2.13588e7	−	1.34854e8i	0.0218797	−	0.138143i
$993$	1.82673e8	+	1.82673e8i	0.186564	+	0.186564i
$994$	1.59185e8	+	2.19099e8i	0.162085	+	0.223090i
$995$	9.98721e8	−	2.02097e8i	1.01385	−	0.205159i
$996$	−5.91261e6	−	4.29577e6i	−0.00598414	−	0.00434773i
$997$	−3.59162e8	+	5.68857e7i	−0.362414	+	0.0574007i	−0.334986	−	0.942223i	$-0.608732\pi$
$997$	−3.59162e8	+	5.68857e7i	−0.362414	+	0.0574007i	−0.0274278	+	0.999624i	$0.508732\pi$
$998$	4.07641e8	−	2.07703e8i	0.410096	−	0.208954i
$999$		−	6.04301e8i		−	0.606117i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	25.7.f.a.3.6	✓	112
25.17	odd	20	inner	25.7.f.a.17.6	yes	112

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
25.7.f.a.3.6	✓	112	1.1	even	1	trivial
25.7.f.a.17.6	yes	112	25.17	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:	\( k \)	\(=\)	\( 7 \)
Character orbit:	\([\chi]\)	\(=\)	25.f (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-2.36346 - 4.63854i) q^{2} +(1.57805 + 9.96344i) q^{3} +(21.6881 - 29.8511i) q^{4} +(24.7920 + 122.517i) q^{5} +(42.4862 - 30.8680i) q^{6} +(325.037 - 325.037i) q^{7} +(-518.804 - 82.1705i) q^{8} +(596.540 - 193.828i) q^{9} +O(q^{10})\)	\(q+(-2.36346 - 4.63854i) q^{2} +(1.57805 + 9.96344i) q^{3} +(21.6881 - 29.8511i) q^{4} +(24.7920 + 122.517i) q^{5} +(42.4862 - 30.8680i) q^{6} +(325.037 - 325.037i) q^{7} +(-518.804 - 82.1705i) q^{8} +(596.540 - 193.828i) q^{9} +(509.705 - 404.562i) q^{10} +(209.657 - 645.257i) q^{11} +(331.645 + 168.981i) q^{12} +(1304.49 - 2560.21i) q^{13} +(-2275.91 - 739.488i) q^{14} +(-1181.57 + 440.351i) q^{15} +(115.284 + 354.807i) q^{16} +(-438.042 + 2765.69i) q^{17} +(-2308.97 - 2308.97i) q^{18} +(6409.59 + 8822.04i) q^{19} +(4194.95 + 1917.09i) q^{20} +(3751.41 + 2725.56i) q^{21} +(-3488.56 + 552.534i) q^{22} +(-14997.8 + 7641.75i) q^{23} -5298.74i q^{24} +(-14395.7 + 6074.87i) q^{25} -14958.7 q^{26} +(6211.16 + 12190.1i) q^{27} +(-2653.28 - 16752.2i) q^{28} +(24277.7 - 33415.5i) q^{29} +(4835.17 + 4439.99i) q^{30} +(-3487.24 + 2533.63i) q^{31} +(-22397.7 + 22397.7i) q^{32} +(6759.82 + 1070.65i) q^{33} +(13864.0 - 4504.70i) q^{34} +(47880.8 + 31764.2i) q^{35} +(7151.85 - 22011.1i) q^{36} +(-39355.8 - 20052.8i) q^{37} +(25772.6 - 50581.6i) q^{38} +(27567.0 + 8957.07i) q^{39} +(-2794.91 - 65599.3i) q^{40} +(28574.1 + 87942.2i) q^{41} +(3776.33 - 23842.8i) q^{42} +(-65424.8 - 65424.8i) q^{43} +(-14714.6 - 20252.9i) q^{44} +(38536.6 + 68280.8i) q^{45} +(70893.2 + 51506.9i) q^{46} +(-85135.0 + 13484.1i) q^{47} +(-3353.17 + 1708.53i) q^{48} -93649.2i q^{49} +(62202.2 + 52417.5i) q^{50} -28247.0 q^{51} +(-48133.1 - 94466.5i) q^{52} +(12111.1 + 76466.6i) q^{53} +(41864.4 - 57621.4i) q^{54} +(84252.6 + 9689.26i) q^{55} +(-195339. + 141922. i) q^{56} +(-77783.2 + 77783.2i) q^{57} +(-212378. - 33637.4i) q^{58} +(-82924.3 + 26943.7i) q^{59} +(-12480.9 + 44821.4i) q^{60} +(-101917. + 313670. i) q^{61} +(19994.3 + 10187.6i) q^{62} +(130897. - 256899. i) q^{63} +(179536. + 58334.9i) q^{64} +(346009. + 96349.4i) q^{65} +(-11010.3 - 33886.2i) q^{66} +(-23531.2 + 148570. i) q^{67} +(73058.5 + 73058.5i) q^{68} +(-99805.4 - 137370. i) q^{69} +(34175.4 - 297170. i) q^{70} +(-91557.0 - 66520.0i) q^{71} +(-325414. + 51540.6i) q^{72} +(110881. - 56496.6i) q^{73} +229947. i q^{74} +(-83243.8 - 133844. i) q^{75} +402359. q^{76} +(-141586. - 277878. i) q^{77} +(-23605.7 - 149040. i) q^{78} +(264553. - 364125. i) q^{79} +(-40611.7 + 22920.6i) q^{80} +(258276. - 187648. i) q^{81} +(340390. - 340390. i) q^{82} +(-19393.2 - 3071.58i) q^{83} +(162722. - 52871.6i) q^{84} +(-349703. + 14899.4i) q^{85} +(-148847. + 458105. i) q^{86} +(371244. + 189158. i) q^{87} +(-161792. + 317534. i) q^{88} +(-221538. - 71982.0i) q^{89} +(225644. - 340132. i) q^{90} +(-408154. - 1.25617e6i) q^{91} +(-97158.6 + 613435. i) q^{92} +(-30746.7 - 30746.7i) q^{93} +(263759. + 363033. i) q^{94} +(-921941. + 1.00400e6i) q^{95} +(-258503. - 187814. i) q^{96} +(1.03232e6 - 163503. i) q^{97} +(-434396. + 221336. i) q^{98} -425559. i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 112 q - 40 q^{3} - 10 q^{4} + 60 q^{5} - 6 q^{6} - 560 q^{7} - 1870 q^{8} - 10 q^{9}+O(q^{10}) \) 112 * q - 40 * q^3 - 10 * q^4 + 60 * q^5 - 6 * q^6 - 560 * q^7 - 1870 * q^8 - 10 * q^9	\( 112 q - 40 q^{3} - 10 q^{4} + 60 q^{5} - 6 q^{6} - 560 q^{7} - 1870 q^{8} - 10 q^{9} + 4360 q^{10} - 6 q^{11} - 3490 q^{12} - 1970 q^{13} - 10 q^{14} + 80 q^{15} + 22522 q^{16} - 1210 q^{17} - 47740 q^{18} - 19210 q^{19} + 4290 q^{20} - 6 q^{21} + 116790 q^{22} + 68920 q^{23} - 83690 q^{25} + 32544 q^{26} - 147970 q^{27} - 191010 q^{28} - 24810 q^{29} + 128390 q^{30} - 6 q^{31} + 335470 q^{32} + 133250 q^{33} + 32990 q^{34} - 126400 q^{35} - 156358 q^{36} + 64990 q^{37} - 26320 q^{38} - 414810 q^{39} - 609460 q^{40} + 108554 q^{41} - 345630 q^{42} + 228280 q^{43} + 711540 q^{44} + 1026100 q^{45} - 6 q^{46} + 470440 q^{47} + 948520 q^{48} - 453750 q^{50} - 16 q^{51} - 1534020 q^{52} - 922770 q^{53} - 2582460 q^{54} - 1058910 q^{55} - 16390 q^{56} + 283510 q^{57} + 1902200 q^{58} + 2457990 q^{59} + 4557170 q^{60} - 388446 q^{61} - 686820 q^{62} - 2340440 q^{63} - 5040460 q^{64} - 1346350 q^{65} + 186618 q^{66} + 913000 q^{67} + 3094930 q^{68} + 2802790 q^{69} + 3485630 q^{70} - 758886 q^{71} + 3144300 q^{72} + 74290 q^{73} - 890640 q^{75} - 16400 q^{76} - 3146750 q^{77} - 5681900 q^{78} - 2289610 q^{79} - 6528330 q^{80} + 1577702 q^{81} + 1401150 q^{82} + 26480 q^{83} - 1650010 q^{84} - 3408980 q^{85} - 6 q^{86} - 735210 q^{87} + 2183870 q^{88} + 2906240 q^{89} + 3580070 q^{90} - 6 q^{91} + 1367450 q^{92} + 5352610 q^{93} + 14186390 q^{94} + 5887710 q^{95} - 1245186 q^{96} + 7532890 q^{97} + 5872380 q^{98}+O(q^{100}) \) 112 * q - 40 * q^3 - 10 * q^4 + 60 * q^5 - 6 * q^6 - 560 * q^7 - 1870 * q^8 - 10 * q^9 + 4360 * q^10 - 6 * q^11 - 3490 * q^12 - 1970 * q^13 - 10 * q^14 + 80 * q^15 + 22522 * q^16 - 1210 * q^17 - 47740 * q^18 - 19210 * q^19 + 4290 * q^20 - 6 * q^21 + 116790 * q^22 + 68920 * q^23 - 83690 * q^25 + 32544 * q^26 - 147970 * q^27 - 191010 * q^28 - 24810 * q^29 + 128390 * q^30 - 6 * q^31 + 335470 * q^32 + 133250 * q^33 + 32990 * q^34 - 126400 * q^35 - 156358 * q^36 + 64990 * q^37 - 26320 * q^38 - 414810 * q^39 - 609460 * q^40 + 108554 * q^41 - 345630 * q^42 + 228280 * q^43 + 711540 * q^44 + 1026100 * q^45 - 6 * q^46 + 470440 * q^47 + 948520 * q^48 - 453750 * q^50 - 16 * q^51 - 1534020 * q^52 - 922770 * q^53 - 2582460 * q^54 - 1058910 * q^55 - 16390 * q^56 + 283510 * q^57 + 1902200 * q^58 + 2457990 * q^59 + 4557170 * q^60 - 388446 * q^61 - 686820 * q^62 - 2340440 * q^63 - 5040460 * q^64 - 1346350 * q^65 + 186618 * q^66 + 913000 * q^67 + 3094930 * q^68 + 2802790 * q^69 + 3485630 * q^70 - 758886 * q^71 + 3144300 * q^72 + 74290 * q^73 - 890640 * q^75 - 16400 * q^76 - 3146750 * q^77 - 5681900 * q^78 - 2289610 * q^79 - 6528330 * q^80 + 1577702 * q^81 + 1401150 * q^82 + 26480 * q^83 - 1650010 * q^84 - 3408980 * q^85 - 6 * q^86 - 735210 * q^87 + 2183870 * q^88 + 2906240 * q^89 + 3580070 * q^90 - 6 * q^91 + 1367450 * q^92 + 5352610 * q^93 + 14186390 * q^94 + 5887710 * q^95 - 1245186 * q^96 + 7532890 * q^97 + 5872380 * q^98

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