LMFDB - Embedded newform 59.7.d.a.10.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [59,7,Mod(2,59)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(59, base_ring=CyclotomicField(58))

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("59.2");

S:= CuspForms(chi, 7);

N := Newforms(S);

Level:	$ N $	$=$	$ 59 $
Weight:	$ k $	$=$	$ 7 $
Character orbit:	$[\chi]$	$=$	59.d (of order $58$, degree $28$, 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:	$13.5731909336$
Analytic rank:	$0$
Dimension:	$812$
Relative dimension:	$29$ over $\Q(\zeta_{58})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label			10.7
Character	$\chi$	$=$	59.10
Dual form			59.7.d.a.6.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-9.45970 - 3.76909i) q^{2} +(5.39355 + 0.586583i) q^{3} +(28.8162 + 27.2961i) q^{4} +(148.963 - 175.372i) q^{5} +(-48.8104 - 25.8777i) q^{6} +(211.535 + 127.276i) q^{7} +(103.934 + 224.649i) q^{8} +(-683.210 - 150.386i) q^{9} +(-2070.14 + 1097.52i) q^{10} +(2335.97 + 126.653i) q^{11} +(139.410 + 164.126i) q^{12} +(747.510 + 3395.97i) q^{13} +(-1521.34 - 2001.29i) q^{14} +(906.308 - 858.500i) q^{15} +(-273.988 - 5053.41i) q^{16} +(2007.56 - 1207.91i) q^{17} +(5896.15 + 3997.69i) q^{18} +(-368.836 + 1328.43i) q^{19} +(9079.53 - 987.458i) q^{20} +(1066.26 + 810.553i) q^{21} +(-21620.3 - 10002.6i) q^{22} +(8643.17 - 5860.21i) q^{23} +(428.796 + 1272.62i) q^{24} +(-6037.77 - 36828.7i) q^{25} +(5728.50 - 34942.3i) q^{26} +(-7344.76 - 2474.74i) q^{27} +(2621.48 + 9441.70i) q^{28} +(-3408.68 - 8555.15i) q^{29} +(-11809.2 + 4705.20i) q^{30} +(29379.3 - 8157.12i) q^{31} +(-11396.6 + 33824.0i) q^{32} +(12524.9 + 2053.35i) q^{33} +(-23543.7 + 3859.79i) q^{34} +(53831.6 - 18138.0i) q^{35} +(-15582.6 - 22982.6i) q^{36} +(-6881.05 + 14873.1i) q^{37} +(8496.05 - 11176.4i) q^{38} +(2039.71 + 18754.8i) q^{39} +(54879.6 + 15237.2i) q^{40} +(38748.0 - 57149.1i) q^{41} +(-7031.50 - 11686.4i) q^{42} +(9193.41 - 498.452i) q^{43} +(63856.7 + 67412.8i) q^{44} +(-128146. + 97414.3i) q^{45} +(-103849. + 22859.0i) q^{46} +(-109955. + 93396.6i) q^{47} +(1486.48 - 27416.5i) q^{48} +(-26560.1 - 50097.6i) q^{49} +(-81695.4 + 371146. i) q^{50} +(11536.4 - 5337.32i) q^{51} +(-71156.5 + 118263. i) q^{52} +(-58453.6 + 110255. i) q^{53} +(60151.7 + 51093.3i) q^{54} +(370184. - 390799. i) q^{55} +(-6606.90 + 60749.5i) q^{56} +(-2768.57 + 6948.59i) q^{57} +93776.8i q^{58} +(166722. - 119934. i) q^{59} +49550.1 q^{60} +(-232192. - 92513.7i) q^{61} +(-308664. - 33569.3i) q^{62} +(-125382. - 118768. i) q^{63} +(25610.2 - 30150.7i) q^{64} +(706911. + 374780. i) q^{65} +(-110742. - 66631.5i) q^{66} +(-71156.1 - 153801. i) q^{67} +(90821.7 + 19991.4i) q^{68} +(50054.8 - 26537.4i) q^{69} +(-577594. - 31316.2i) q^{70} +(-227058. - 267313. i) q^{71} +(-37224.6 - 169113. i) q^{72} +(176777. + 232546. i) q^{73} +(121151. - 114760. i) q^{74} +(-10961.8 - 202179. i) q^{75} +(-46889.4 + 28212.4i) q^{76} +(478020. + 324106. i) q^{77} +(51393.5 - 185103. i) q^{78} +(226702. - 24655.4i) q^{79} +(-927043. - 704720. i) q^{80} +(424686. + 196481. i) q^{81} +(-581945. + 394568. i) q^{82} +(-65354.9 - 193966. i) q^{83} +(8600.70 + 52462.0i) q^{84} +(87217.8 - 532005. i) q^{85} +(-88845.7 - 29935.6i) q^{86} +(-13366.6 - 48142.1i) q^{87} +(214334. + 537939. i) q^{88} +(-1.02924e6 + 410086. i) q^{89} +(1.57939e6 - 438515. i) q^{90} +(-274102. + 813506. i) q^{91} +(409024. + 67056.1i) q^{92} +(163243. - 26762.4i) q^{93} +(1.39216e6 - 469074. i) q^{94} +(178027. + 262570. i) q^{95} +(-81308.8 + 175746. i) q^{96} +(1.03603e6 - 1.36287e6i) q^{97} +(62427.9 + 574015. i) q^{98} +(-1.57691e6 - 437828. i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 812 q - 29 q^{2} - 39 q^{3} + 869 q^{4} - 171 q^{5} - 29 q^{6} - 435 q^{7} - 29 q^{8} - 7648 q^{9} - 29 q^{10} - 29 q^{11} + 1095 q^{12} - 29 q^{13} - 29 q^{14} - 569 q^{15} - 25051 q^{16} - 9071 q^{17}+ \cdots + 9513421 q^{99}+O(q^{100}) $ 812 * q - 29 * q^2 - 39 * q^3 + 869 * q^4 - 171 * q^5 - 29 * q^6 - 435 * q^7 - 29 * q^8 - 7648 * q^9 - 29 * q^10 - 29 * q^11 + 1095 * q^12 - 29 * q^13 - 29 * q^14 - 569 * q^15 - 25051 * q^16 - 9071 * q^17 - 29 * q^18 - 3879 * q^19 + 46867 * q^20 - 3729 * q^21 - 11267 * q^22 - 29 * q^23 - 29 * q^24 - 65696 * q^25 + 64561 * q^26 - 36009 * q^27 + 45513 * q^28 + 31701 * q^29 - 29 * q^30 - 29 * q^31 - 29 * q^32 - 29 * q^33 - 29 * q^34 - 46305 * q^35 + 185269 * q^36 - 29 * q^37 - 29 * q^38 - 29 * q^39 - 29 * q^40 - 91943 * q^41 - 29 * q^42 - 29 * q^43 - 29 * q^44 + 1328609 * q^45 + 122071 * q^46 - 472149 * q^47 - 4460721 * q^48 - 992540 * q^49 - 1117341 * q^50 - 161065 * q^51 + 1336291 * q^52 + 1079813 * q^53 + 4504947 * q^54 + 1872907 * q^55 + 3956963 * q^56 + 2677007 * q^57 - 302138 * q^59 - 4965482 * q^60 - 1574381 * q^61 - 2444409 * q^62 - 5085047 * q^63 - 5066455 * q^64 - 1422653 * q^65 + 433939 * q^66 + 876931 * q^67 + 3018437 * q^68 + 5706243 * q^69 + 6798499 * q^70 + 3537645 * q^71 + 6041251 * q^72 - 396749 * q^73 - 3448403 * q^74 - 9552475 * q^75 - 247173 * q^76 - 29 * q^77 + 375035 * q^78 - 4731 * q^79 - 1921013 * q^80 + 841594 * q^81 - 29 * q^82 - 29 * q^83 - 2367333 * q^84 - 864073 * q^85 - 5031139 * q^86 + 4790463 * q^87 - 726023 * q^88 - 29 * q^89 - 29 * q^90 - 29 * q^91 - 29 * q^92 - 29 * q^93 - 2835797 * q^94 - 1047881 * q^95 - 29 * q^96 - 29 * q^97 + 29127484 * q^98 + 9513421 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/59\mathbb{Z}\right)^\times$.

$n$	$2$
$\chi(n)$	$e\left(\frac{7}{58}\right)$

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 $

$2$	−9.45970	−	3.76909i	−1.18246	−	0.471136i	−0.305732	−	0.952118i	$-0.598901\pi$
$2$	−9.45970	−	3.76909i	−1.18246	−	0.471136i	−0.876731	+	0.480982i	$0.840280\pi$
$3$	5.39355	+	0.586583i	0.199761	+	0.0217253i	0.207452	−	0.978245i	$-0.433483\pi$
$3$	5.39355	+	0.586583i	0.199761	+	0.0217253i	−0.00769147	+	0.999970i	$0.502448\pi$
$4$	28.8162	+	27.2961i	0.450253	+	0.426502i
$5$	148.963	−	175.372i	1.19170	−	1.40298i	0.297852	−	0.954612i	$-0.403730\pi$
$5$	148.963	−	175.372i	1.19170	−	1.40298i	0.893849	−	0.448368i	$-0.147994\pi$
$6$	−48.8104	−	25.8777i	−0.225974	−	0.119804i
$7$	211.535	+	127.276i	0.616720	+	0.371068i	0.789372	−	0.613915i	$-0.210406\pi$
$7$	211.535	+	127.276i	0.616720	+	0.371068i	−0.172653	+	0.984983i	$0.555234\pi$
$8$	103.934	+	224.649i	0.202996	+	0.438768i
$9$	−683.210	−	150.386i	−0.937188	−	0.206291i
$10$	−2070.14	+	1097.52i	−2.07014	+	1.09752i
$11$	2335.97	+	126.653i	1.75505	+	0.0951562i	0.903359	−	0.428885i	$-0.141093\pi$
$11$	2335.97	+	126.653i	1.75505	+	0.0951562i	0.851693	+	0.524041i	$0.175576\pi$
$12$	139.410	+	164.126i	0.0806771	+	0.0949804i
$13$	747.510	+	3395.97i	0.340241	+	1.54573i	0.767169	+	0.641445i	$0.221665\pi$
$13$	747.510	+	3395.97i	0.340241	+	1.54573i	−0.426928	+	0.904286i	$0.640404\pi$
$14$	−1521.34	−	2001.29i	−0.554424	−	0.729333i
$15$	906.308	−	858.500i	0.268536	−	0.254370i
$16$	−273.988	−	5053.41i	−0.0668916	−	1.23374i
$17$	2007.56	−	1207.91i	0.408623	−	0.245860i	−0.296372	−	0.955073i	$-0.595777\pi$
$17$	2007.56	−	1207.91i	0.408623	−	0.245860i	0.704995	+	0.709212i	$0.250949\pi$
$18$	5896.15	+	3997.69i	1.01100	+	0.685474i
$19$	−368.836	+	1328.43i	−0.0537741	+	0.193677i	−0.985558	−	0.169335i	$-0.945838\pi$
$19$	−368.836	+	1328.43i	−0.0537741	+	0.193677i	0.931784	+	0.363012i	$0.118252\pi$
$20$	9079.53	−	987.458i	1.13494	−	0.123432i
$21$	1066.26	+	810.553i	0.115135	+	0.0875233i
$22$	−21620.3	−	10002.6i	−2.03045	−	0.939387i
$23$	8643.17	−	5860.21i	0.710378	−	0.481648i	−0.151698	−	0.988427i	$-0.548474\pi$
$23$	8643.17	−	5860.21i	0.710378	−	0.481648i	0.862076	+	0.506779i	$0.169164\pi$
$24$	428.796	+	1272.62i	0.0310183	+	0.0920589i
$25$	−6037.77	−	36828.7i	−0.386417	−	2.35704i
$26$	5728.50	−	34942.3i	0.325927	−	1.98807i
$27$	−7344.76	−	2474.74i	−0.373152	−	0.125730i
$28$	2621.48	+	9441.70i	0.119419	+	0.430107i
$29$	−3408.68	−	8555.15i	−0.139763	−	0.350779i	0.842388	−	0.538871i	$-0.181149\pi$
$29$	−3408.68	−	8555.15i	−0.139763	−	0.350779i	−0.982151	+	0.188092i	$0.939770\pi$
$30$	−11809.2	+	4705.20i	−0.437376	+	0.174267i
$31$	29379.3	−	8157.12i	0.986180	−	0.273812i	0.263246	−	0.964729i	$-0.415207\pi$
$31$	29379.3	−	8157.12i	0.986180	−	0.273812i	0.722934	+	0.690917i	$0.242793\pi$
$32$	−11396.6	+	33824.0i	−0.347798	+	1.03223i
$33$	12524.9	+	2053.35i	0.348524	+	0.0571375i
$34$	−23543.7	+	3859.79i	−0.599015	+	0.0982035i
$35$	53831.6	−	18138.0i	1.25555	−	0.423043i
$36$	−15582.6	−	22982.6i	−0.333988	−	0.492596i
$37$	−6881.05	+	14873.1i	−0.135847	+	0.293628i	−0.963545	−	0.267545i	$-0.913788\pi$
$37$	−6881.05	+	14873.1i	−0.135847	+	0.293628i	0.827699	+	0.561173i	$0.189650\pi$
$38$	8496.05	−	11176.4i	0.154834	−	0.203681i
$39$	2039.71	+	18754.8i	0.0343854	+	0.316169i
$40$	54879.6	+	15237.2i	0.857493	+	0.238082i
$41$	38748.0	−	57149.1i	0.562210	−	0.829197i	−0.435259	−	0.900305i	$-0.643343\pi$
$41$	38748.0	−	57149.1i	0.562210	−	0.829197i	0.997469	+	0.0711082i	$0.0226536\pi$
$42$	−7031.50	−	11686.4i	−0.0949074	−	0.157737i
$43$	9193.41	−	498.452i	0.115630	−	0.00626929i	0.00376704	−	0.999993i	$-0.498801\pi$
$43$	9193.41	−	498.452i	0.115630	−	0.00626929i	0.111863	+	0.993724i	$0.464318\pi$
$44$	63856.7	+	67412.8i	0.749633	+	0.791378i
$45$	−128146.	+	97414.3i	−1.40627	+	1.06902i
$46$	−103849.	+	22859.0i	−1.06692	+	0.234846i
$47$	−109955.	+	93396.6i	−1.05906	+	0.899575i	−0.995149	−	0.0983800i	$-0.968634\pi$
$47$	−109955.	+	93396.6i	−1.05906	+	0.899575i	−0.0639132	+	0.997955i	$0.520358\pi$
$48$	1486.48	−	27416.5i	0.0134411	−	0.247907i
$49$	−26560.1	−	50097.6i	−0.225757	−	0.425822i
$50$	−81695.4	+	371146.i	−0.653563	+	2.96917i
$51$	11536.4	−	5337.32i	0.0869683	−	0.0402358i
$52$	−71156.5	+	118263.i	−0.506063	+	0.841084i
$53$	−58453.6	+	110255.i	−0.392630	+	0.740579i	−0.998487	−	0.0549947i	$-0.982486\pi$
$53$	−58453.6	+	110255.i	−0.392630	+	0.740579i	0.605856	+	0.795574i	$0.292831\pi$
$54$	60151.7	+	51093.3i	0.382003	+	0.324476i
$55$	370184.	−	390799.i	2.22500	−	2.34890i
$56$	−6606.90	+	60749.5i	−0.0376213	+	0.345922i
$57$	−2768.57	+	6948.59i	−0.0149497	+	0.0375208i
$58$			93776.8i			0.480631i
$59$	166722.	−	119934.i	0.811778	−	0.583966i
$59$	166722.	−	119934.i	0.811778	−	0.583966i
$60$	49550.1			0.229399
$61$	−232192.	−	92513.7i	−1.02296	−	0.407583i	−0.202495	−	0.979283i	$-0.564905\pi$
$61$	−232192.	−	92513.7i	−1.02296	−	0.407583i	−0.820463	+	0.571700i	$0.806284\pi$
$62$	−308664.	−	33569.3i	−1.29512	−	0.140853i
$63$	−125382.	−	118768.i	−0.501434	−	0.474984i
$64$	25610.2	−	30150.7i	0.0976952	−	0.115016i
$65$	706911.	+	374780.i	2.57410	+	1.36470i
$66$	−110742.	−	66631.5i	−0.385197	−	0.231765i
$67$	−71156.1	−	153801.i	−0.236585	−	0.511370i	0.752522	−	0.658567i	$-0.228837\pi$
$67$	−71156.1	−	153801.i	−0.236585	−	0.511370i	−0.989107	+	0.147197i	$0.952975\pi$
$68$	90821.7	+	19991.4i	0.288844	+	0.0635793i
$69$	50054.8	−	26537.4i	0.152370	−	0.0807813i
$70$	−577594.	−	31316.2i	−1.68395	−	0.0913010i
$71$	−227058.	−	267313.i	−0.634398	−	0.746871i	0.347208	−	0.937788i	$-0.387130\pi$
$71$	−227058.	−	267313.i	−0.634398	−	0.746871i	−0.981606	+	0.190917i	$0.938854\pi$
$72$	−37224.6	−	169113.i	−0.0997314	−	0.453084i
$73$	176777.	+	232546.i	0.454420	+	0.597779i	0.965064	−	0.262013i	$-0.0843862\pi$
$73$	176777.	+	232546.i	0.454420	+	0.597779i	−0.510644	+	0.859792i	$0.670593\pi$
$74$	121151.	−	114760.i	0.298972	−	0.283202i
$75$	−10961.8	−	202179.i	−0.0259836	−	0.479240i
$76$	−46889.4	+	28212.4i	−0.106816	+	0.0642688i
$77$	478020.	+	324106.i	1.04707	+	0.709928i
$78$	51393.5	−	185103.i	0.108299	−	0.390058i
$79$	226702.	−	24655.4i	0.459806	−	0.0500069i	0.124715	−	0.992193i	$-0.460198\pi$
$79$	226702.	−	24655.4i	0.459806	−	0.0500069i	0.335091	+	0.942186i	$0.391233\pi$
$80$	−927043.	−	704720.i	−1.81063	−	1.37641i
$81$	424686.	+	196481.i	0.799121	+	0.369713i
$82$	−581945.	+	394568.i	−1.05546	+	0.715617i
$83$	−65354.9	−	193966.i	−0.114299	−	0.339228i	0.875201	−	0.483760i	$-0.160729\pi$
$83$	−65354.9	−	193966.i	−0.114299	−	0.339228i	−0.989500	+	0.144531i	$0.953833\pi$
$84$	8600.70	+	52462.0i	0.0145110	+	0.0885129i
$85$	87217.8	−	532005.i	0.142020	−	0.866281i
$86$	−88845.7	−	29935.6i	−0.139682	−	0.0470644i
$87$	−13366.6	−	48142.1i	−0.0202984	−	0.0731084i
$88$	214334.	+	537939.i	0.314517	+	0.789377i
$89$	−1.02924e6	+	410086.i	−1.45998	+	0.581708i	−0.958912	−	0.283703i	$-0.908437\pi$
$89$	−1.02924e6	+	410086.i	−1.45998	+	0.581708i	−0.501064	+	0.865410i	$0.667058\pi$
$90$	1.57939e6	−	438515.i	2.16652	−	0.601530i
$91$	−274102.	+	813506.i	−0.363738	+	1.07954i
$92$	409024.	+	67056.1i	0.525274	+	0.0861142i
$93$	163243.	−	26762.4i	0.202949	−	0.0332718i
$94$	1.39216e6	−	469074.i	1.67612	−	0.564752i
$95$	178027.	+	262570.i	0.207642	+	0.306249i
$96$	−81308.8	+	175746.i	−0.0919018	+	0.198642i
$97$	1.03603e6	−	1.36287e6i	1.13516	−	1.49327i	0.291359	−	0.956614i	$-0.405892\pi$
$97$	1.03603e6	−	1.36287e6i	1.13516	−	1.49327i	0.843798	−	0.536661i	$-0.180314\pi$
$98$	62427.9	+	574015.i	0.0663286	+	0.609881i
$99$	−1.57691e6	−	437828.i	−1.62518	−	0.451230i
$100$	831297.	−	1.22607e6i	0.831297	−	1.22607i
$101$	584527.	+	971491.i	0.567336	+	0.942920i	0.999161	+	0.0409622i	$0.0130423\pi$
$101$	584527.	+	971491.i	0.567336	+	0.942920i	−0.431825	+	0.901958i	$0.642130\pi$
$102$	−129248.	+	7007.62i	−0.121793	+	0.00660344i
$103$	−666331.	−	703437.i	−0.609787	−	0.643744i	0.345850	−	0.938290i	$-0.387590\pi$
$103$	−666331.	−	703437.i	−0.609787	−	0.643744i	−0.955638	+	0.294545i	$0.904832\pi$
$104$	−685211.	+	520884.i	−0.609150	+	0.463064i
$105$	300982.	−	66251.2i	0.260000	−	0.0572303i
$106$	968516.	−	822665.i	0.813184	−	0.690725i
$107$	−19409.1	+	357980.i	−0.0158436	+	0.292218i	0.979864	+	0.199665i	$0.0639855\pi$
$107$	−19409.1	+	357980.i	−0.0158436	+	0.292218i	−0.995708	+	0.0925530i	$0.970497\pi$
$108$	−144097.	−	271796.i	−0.114389	−	0.215760i
$109$	−441579.	+	2.00611e6i	−0.340980	+	1.54909i	0.424379	+	0.905485i	$0.360492\pi$
$109$	−441579.	+	2.00611e6i	−0.340980	+	1.54909i	−0.765359	+	0.643603i	$0.777439\pi$
$110$	−4.97479e6	+	2.30158e6i	−3.73763	+	1.72921i
$111$	−45837.6	+	76182.6i	−0.0335160	+	0.0557041i
$112$	585221.	−	1.10384e6i	0.416549	−	0.785695i
$113$	64509.5	+	54794.9i	0.0447083	+	0.0379756i	0.669462	−	0.742846i	$-0.266525\pi$
$113$	64509.5	+	54794.9i	0.0447083	+	0.0379756i	−0.624754	+	0.780822i	$0.714801\pi$
$114$	52379.7	−	55296.6i	0.0353548	−	0.0373236i
$115$	259790.	−	2.38873e6i	0.170816	−	1.57063i
$116$	135297.	−	339571.i	0.0866793	−	0.217549i
$117$		−	2.43258e6i		−	1.51883i
$118$	−2.02919e6	+	506151.i	−1.23502	+	0.308059i
$119$	578408.			0.343237
$120$	287058.	+	114374.i	0.166121	+	0.0661888i
$121$	3.67956e6	+	400176.i	2.07702	+	0.225889i
$122$	1.84777e6	+	1.75030e6i	1.01758	+	0.963904i
$123$	242512.	−	285507.i	0.130322	−	0.153427i
$124$	1.06926e6	+	566884.i	0.560812	+	0.297324i
$125$	−4.27750e6	−	2.57369e6i	−2.19008	−	1.31773i
$126$	738429.	+	1.59609e6i	0.369145	+	0.797895i
$127$	2.50353e6	+	551068.i	1.22220	+	0.269026i	0.778785	−	0.627291i	$-0.215836\pi$
$127$	2.50353e6	+	551068.i	1.22220	+	0.269026i	0.443413	+	0.896317i	$0.353768\pi$
$128$	1.66231e6	−	881302.i	0.792652	−	0.420237i
$129$	49877.5	+	2704.28i	0.0232346	+	0.00125974i
$130$	−5.27458e6	−	6.20972e6i	−2.40081	−	2.82645i
$131$	525478.	+	2.38727e6i	0.233744	+	1.06191i	0.936551	+	0.350530i	$0.113999\pi$
$131$	525478.	+	2.38727e6i	0.233744	+	1.06191i	−0.702807	+	0.711380i	$0.748070\pi$
$132$	304871.	+	401051.i	0.132554	+	0.174372i
$133$	−247099.	+	234065.i	−0.105031	+	0.0994904i
$134$	93424.2	+	1.72311e6i	0.0388280	+	0.716140i
$135$	−1.52810e6	+	919424.i	−0.621082	+	0.373693i
$136$	480010.	+	325455.i	0.190824	+	0.129382i
$137$	−627424.	+	2.25978e6i	−0.244005	+	0.878828i	0.735519	+	0.677504i	$0.236938\pi$
$137$	−627424.	+	2.25978e6i	−0.244005	+	0.878828i	−0.979525	+	0.201324i	$0.935476\pi$
$138$	−573525.	+	62374.6i	−0.218230	+	0.0237340i
$139$	232756.	+	176936.i	0.0866675	+	0.0658829i	0.647611	−	0.761971i	$-0.275768\pi$
$139$	232756.	+	176936.i	0.0866675	+	0.0658829i	−0.560943	+	0.827854i	$0.689561\pi$
$140$	2.04632e6	+	946727.i	0.745742	+	0.345017i
$141$	−647832.	+	439241.i	−0.231103	+	0.156692i
$142$	1.14037e6	+	3.38451e6i	0.398274	+	1.18204i
$143$	1.31605e6	+	8.02758e6i	0.450055	+	2.74521i
$144$	−572771.	+	3.49375e6i	−0.191820	+	1.17005i
$145$	−2.00810e6	−	676609.i	−0.658692	−	0.221939i
$146$	−795771.	−	2.86611e6i	−0.255699	−	0.920946i
$147$	−113866.	−	285783.i	−0.0358463	−	0.0899673i
$148$	−604265.	+	240761.i	−0.186398	+	0.0742679i
$149$	1.41355e6	−	392471.i	0.427321	−	0.118645i	−0.0472080	−	0.998885i	$-0.515032\pi$
$149$	1.41355e6	−	392471.i	0.427321	−	0.118645i	0.474529	+	0.880240i	$0.342619\pi$
$150$	−658336.	+	1.95387e6i	−0.195062	+	0.578925i
$151$	−1.14944e6	−	188441.i	−0.333853	−	0.0547325i	−0.00747603	−	0.999972i	$-0.502380\pi$
$151$	−1.14944e6	−	188441.i	−0.333853	−	0.0547325i	−0.326377	+	0.945240i	$0.605828\pi$
$152$	−336765.	+	55209.9i	−0.0958951	+	0.0157212i
$153$	−1.55324e6	+	523348.i	−0.433675	+	0.146122i
$154$	−3.30034e6	−	4.86764e6i	−0.903643	−	1.33277i
$155$	2.94588e6	−	6.36743e6i	0.791080	−	1.70989i
$156$	−453157.	+	596118.i	−0.119364	+	0.157021i
$157$	−27097.5	−	249158.i	−0.00700214	−	0.0643836i	0.990116	−	0.140254i	$-0.0447920\pi$
$157$	−27097.5	−	249158.i	−0.00700214	−	0.0643836i	−0.997118	+	0.0758705i	$0.975826\pi$
$158$	−2.23746e6	−	621229.i	−0.567263	−	0.157500i
$159$	−379946.	+	560379.i	−0.0945215	+	0.139409i
$160$	4.23412e6	+	7.03717e6i	1.03372	+	1.71806i
$161$	2.57420e6	−	139569.i	0.616828	−	0.0334434i
$162$	−3.27685e6	−	3.45933e6i	−0.770746	−	0.813666i
$163$	−930241.	+	707151.i	−0.214799	+	0.163286i	−0.707041	−	0.707172i	$-0.749971\pi$
$163$	−930241.	+	707151.i	−0.214799	+	0.163286i	0.492242	+	0.870458i	$0.336177\pi$
$164$	2.67652e6	−	589147.i	0.606791	−	0.133565i
$165$	2.22584e6	−	1.89065e6i	0.495499	−	0.420881i
$166$	−112839.	+	2.08119e6i	−0.0246680	+	0.454975i
$167$	3.13331e6	+	5.91006e6i	0.672751	+	1.26894i	0.951225	+	0.308499i	$0.0998268\pi$
$167$	3.13331e6	+	5.91006e6i	0.672751	+	1.26894i	−0.278473	+	0.960444i	$0.589828\pi$
$168$	−71269.3	+	323780.i	−0.0150305	+	0.0682844i
$169$	−6.59316e6	+	3.05032e6i	−1.36595	+	0.631953i
$170$	−2.83023e6	+	4.70388e6i	−0.576069	+	0.957435i
$171$	451770.	−	852128.i	0.0903501	−	0.170418i
$172$	278525.	+	236581.i	0.0547367	+	0.0464938i
$173$	6.26267e6	−	6.61142e6i	1.20954	−	1.27690i	0.259153	−	0.965836i	$-0.416557\pi$
$173$	6.26267e6	−	6.61142e6i	1.20954	−	1.27690i	0.950390	−	0.311062i	$-0.100685\pi$
$174$	−55007.9	+	505789.i	−0.0104419	+	0.0960112i
$175$	3.41023e6	−	8.55903e6i	0.636311	−	1.59702i
$176$		−	1.18393e7i		−	2.17165i
$177$	969575.	−	549075.i	0.174848	−	0.0990174i
$178$	1.12819e7			2.00043
$179$	−4.03695e6	−	1.60847e6i	−0.703873	−	0.280449i	−0.00938793	−	0.999956i	$-0.502988\pi$
$179$	−4.03695e6	−	1.60847e6i	−0.703873	−	0.280449i	−0.694485	+	0.719507i	$0.744368\pi$
$180$	−6.35173e6	−	690792.i	−1.08912	−	0.118449i
$181$	−981884.	−	930090.i	−0.165586	−	0.156852i	0.600420	−	0.799685i	$-0.295000\pi$
$181$	−981884.	−	930090.i	−0.165586	−	0.156852i	−0.766006	+	0.642833i	$0.777759\pi$
$182$	5.65910e6	−	6.66241e6i	0.938714	−	1.10514i
$183$	−1.19807e6	−	635177.i	−0.195492	−	0.103643i
$184$	2.21481e6	+	1.33261e6i	0.355536	+	0.213919i
$185$	1.58332e6	+	3.42229e6i	0.250065	+	0.540507i
$186$	−1.64510e6	−	362115.i	−0.255655	−	0.0562739i
$187$	4.84260e6	−	2.56739e6i	0.740549	−	0.392614i
$188$	−5.71785e6	−	310013.i	−0.860517	−	0.0466559i
$189$	−1.23870e6	−	1.45831e6i	−0.183476	−	0.216005i
$190$	−694431.	−	3.15483e6i	−0.101244	−	0.459955i
$191$	1.22540e6	+	1.61199e6i	0.175865	+	0.231347i	0.875577	−	0.483079i	$-0.160481\pi$
$191$	1.22540e6	+	1.61199e6i	0.175865	+	0.231347i	−0.699712	+	0.714425i	$0.746688\pi$
$192$	155816.	−	147596.i	0.0220144	−	0.0208532i
$193$	−189431.	−	3.49385e6i	−0.0263499	−	0.485995i	−0.981690	−	0.190486i	$-0.938994\pi$
$193$	−189431.	−	3.49385e6i	−0.0263499	−	0.485995i	0.955340	−	0.295509i	$-0.0954892\pi$
$194$	−1.49373e7	+	8.98747e6i	−2.04582	+	1.23093i
$195$	3.59292e6	+	2.43606e6i	0.484555	+	0.328537i
$196$	602111.	−	2.16861e6i	0.0799666	−	0.288014i
$197$	−6.24153e6	+	678807.i	−0.816380	+	0.0887866i	−0.506775	−	0.862079i	$-0.669162\pi$
$197$	−6.24153e6	+	678807.i	−0.816380	+	0.0887866i	−0.309605	+	0.950865i	$0.600197\pi$
$198$	1.32669e7	+	1.00853e7i	1.70913	+	1.29925i
$199$	−1.29818e7	−	6.00603e6i	−1.64731	−	0.762129i	−0.647315	−	0.762223i	$-0.724108\pi$
$199$	−1.29818e7	−	6.00603e6i	−1.64731	−	0.762129i	−1.00000		9.41593e-5i	$0.999970\pi$
$200$	7.64602e6	−	5.18413e6i	0.955753	−	0.648017i
$201$	−293566.	−	871273.i	−0.0361508	−	0.107292i
$202$	−1.86781e6	−	1.13932e7i	−0.226610	−	1.38226i
$203$	367813.	−	2.24356e6i	0.0439682	−	0.268194i
$204$	478124.	+	161099.i	0.0563184	+	0.0189759i
$205$	−4.25036e6	−	1.53084e7i	−0.493361	−	1.77692i
$206$	3.65197e6	+	9.16576e6i	0.417759	+	1.04850i
$207$	−6.78639e6	+	2.70395e6i	−0.765117	+	0.304850i
$208$	1.69564e7	−	4.70793e6i	1.88428	−	0.523167i
$209$	−1.02984e6	+	3.05646e6i	−0.112806	+	0.334796i
$210$	−3.09691e6	−	507713.i	−0.334403	−	0.0548227i
$211$	−1.82835e7	+	2.99742e6i	−1.94631	+	0.319081i	−0.999991	−	0.00416867i	$-0.998673\pi$
$211$	−1.82835e7	+	2.99742e6i	−1.94631	+	0.319081i	−0.946314	+	0.323249i	$0.895225\pi$
$212$	−4.69395e6	+	1.58158e6i	−0.492642	+	0.165990i
$213$	−1.06785e6	−	1.57496e6i	−0.110502	−	0.162978i
$214$	1.53286e6	−	3.31323e6i	0.156409	−	0.338073i
$215$	1.28206e6	−	1.68652e6i	0.129001	−	0.169698i
$216$	−207421.	−	1.90720e6i	−0.0205822	−	0.189250i
$217$	7.25295e6	+	2.01377e6i	0.709799	+	0.197075i
$218$	1.17384e7	−	1.73129e7i	1.13303	−	1.67109i
$219$	817048.	+	1.35794e6i	0.0777885	+	0.129285i
$220$	2.13346e7	−	1.15673e6i	2.00363	−	0.108633i
$221$	5.60270e6	+	5.91470e6i	0.519064	+	0.547969i
$222$	720749.	−	547899.i	0.0658757	−	0.0500774i
$223$	5.44005e6	−	1.19745e6i	0.490556	−	0.107979i	0.0371975	−	0.999308i	$-0.488157\pi$
$223$	5.44005e6	−	1.19745e6i	0.490556	−	0.107979i	0.453358	+	0.891328i	$0.350226\pi$
$224$	−6.71578e6	+	5.70443e6i	−0.597520	+	0.507538i
$225$	−1.41346e6	+	2.60698e7i	−0.124090	+	2.28870i
$226$	−403714.	−	761485.i	−0.0349742	−	0.0659684i
$227$	−3.07029e6	+	1.39485e7i	−0.262484	+	1.19248i	0.642249	+	0.766496i	$0.278002\pi$
$227$	−3.07029e6	+	1.39485e7i	−0.262484	+	1.19248i	−0.904733	+	0.425980i	$0.859929\pi$
$228$	−269449.	+	124661.i	−0.0227338	+	0.0105178i
$229$	6.46613e6	−	1.07468e7i	0.538441	−	0.894895i	−0.461529	−	0.887125i	$-0.652699\pi$
$229$	6.46613e6	−	1.07468e7i	0.538441	−	0.894895i	0.999970	−	0.00777036i	$-0.00247341\pi$
$230$	−1.14609e7	+	2.16175e7i	−0.941962	+	1.77673i
$231$	2.38811e6	+	2.02848e6i	0.193739	+	0.164564i
$232$	1.56763e6	−	1.65493e6i	0.125539	−	0.132530i
$233$	−146585.	+	1.34783e6i	−0.0115884	+	0.106553i	−0.998504	−	0.0546870i	$-0.982584\pi$
$233$	−146585.	+	1.34783e6i	−0.0115884	+	0.106553i	0.986915	+	0.161240i	$0.0515494\pi$
$234$	−9.16860e6	+	2.30114e7i	−0.715575	+	1.79596i
$235$			3.31957e7i			2.55787i
$236$	8.07804e6	+	1.09483e6i	0.614568	+	0.0832931i
$237$	1.23719e6			0.0929377
$238$	−5.47157e6	−	2.18007e6i	−0.405864	−	0.161711i
$239$	−1.66478e7	−	1.81056e6i	−1.21945	−	0.132623i	−0.524327	−	0.851517i	$-0.675683\pi$
$239$	−1.66478e7	−	1.81056e6i	−1.21945	−	0.132623i	−0.695120	+	0.718894i	$0.744649\pi$
$240$	−4.58667e6	−	4.34473e6i	−0.331791	−	0.314289i
$241$	−2.04320e6	+	2.40544e6i	−0.145969	+	0.171848i	−0.830288	−	0.557335i	$-0.811824\pi$
$241$	−2.04320e6	+	2.40544e6i	−0.145969	+	0.171848i	0.684319	+	0.729183i	$0.260100\pi$
$242$	−3.32992e7	−	1.76541e7i	−2.34957	−	1.24566i
$243$	7.01663e6	+	4.22177e6i	0.489001	+	0.294222i
$244$	−4.16562e6	−	9.00384e6i	−0.286754	−	0.619809i
$245$	−1.27422e7	−	2.80477e6i	−0.866455	−	0.190721i
$246$	−3.37019e6	+	1.78676e6i	−0.226386	+	0.120022i
$247$	−4.78701e6	−	259544.i	−0.317668	−	0.0172235i
$248$	4.88599e6	+	5.75224e6i	0.320330	+	0.377122i
$249$	−238717.	−	1.08450e6i	−0.0154627	−	0.0702478i
$250$	3.07634e7	+	4.04686e7i	1.96886	+	2.58999i
$251$	1.27253e7	−	1.20540e7i	0.804721	−	0.762272i	−0.170061	−	0.985434i	$-0.554396\pi$
$251$	1.27253e7	−	1.20540e7i	0.804721	−	0.762272i	0.974781	+	0.223162i	$0.0716378\pi$
$252$	−371120.	−	6.84490e6i	−0.0231906	−	0.427726i
$253$	2.09324e7	−	1.25946e7i	1.29258	−	0.777721i
$254$	−2.16056e7	−	1.46490e7i	−1.31846	−	0.893935i
$255$	782479.	−	2.81823e6i	0.0471902	−	0.169964i
$256$	−2.15636e7	+	2.34519e6i	−1.28529	+	0.139784i
$257$	1.05472e7	+	8.01781e6i	0.621355	+	0.472342i	0.867866	−	0.496798i	$-0.165491\pi$
$257$	1.05472e7	+	8.01781e6i	0.621355	+	0.472342i	−0.246511	+	0.969140i	$0.579284\pi$
$258$	−461633.	−	213574.i	−0.0268805	−	0.0124363i
$259$	−3.34858e6	+	2.27039e6i	−0.192735	+	0.130678i
$260$	1.01404e7	+	3.00957e7i	0.576947	+	1.71232i
$261$	1.04227e6	+	6.35758e6i	0.0586219	+	0.357578i
$262$	4.02697e6	−	2.45634e7i	0.223911	−	1.36579i
$263$	−1.02663e7	−	3.45913e6i	−0.564350	−	0.190152i	0.0226432	−	0.999744i	$-0.492792\pi$
$263$	−1.02663e7	−	3.45913e6i	−0.564350	−	0.190152i	−0.586993	+	0.809592i	$0.699688\pi$
$264$	840476.	+	3.02712e6i	0.0456787	+	0.164520i
$265$	1.06283e7	+	2.66751e7i	0.571120	+	1.43340i
$266$	3.21970e6	−	1.28284e6i	0.171068	−	0.0681599i
$267$	−5.79179e6	+	1.60808e6i	−0.304284	+	0.0844840i
$268$	2.14774e6	−	6.37425e6i	0.111577	−	0.331150i
$269$	1.97941e7	+	3.24507e6i	1.01690	+	0.166712i	0.647105	−	0.762401i	$-0.275980\pi$
$269$	1.97941e7	+	3.24507e6i	1.01690	+	0.166712i	0.369795	+	0.929113i	$0.379428\pi$
$270$	1.79207e7	−	2.93795e6i	0.910467	−	0.149263i
$271$	−3.09532e7	+	1.04293e7i	−1.55524	+	0.524022i	−0.960114	−	0.279610i	$-0.909795\pi$
$271$	−3.09532e7	+	1.04293e7i	−1.55524	+	0.524022i	−0.595127	+	0.803632i	$0.702898\pi$
$272$	−6.65412e6	−	9.81409e6i	−0.330662	−	0.487690i
$273$	−1.95557e6	+	4.22690e6i	−0.0961138	+	0.207747i
$274$	1.44525e7	−	1.90120e7i	0.702575	−	0.924221i
$275$	−9.43960e6	−	8.67957e7i	−0.453895	−	4.17350i
$276$	2.16676e6	+	601597.i	0.103058	+	0.0286140i
$277$	−1.63284e7	+	2.40825e7i	−0.768251	+	1.13309i	0.219280	+	0.975662i	$0.429629\pi$
$277$	−1.63284e7	+	2.40825e7i	−0.768251	+	1.13309i	−0.987531	+	0.157424i	$0.949681\pi$
$278$	−1.53491e6	−	2.55104e6i	−0.0714413	−	0.118736i
$279$	−2.12989e7	+	1.15480e6i	−0.980721	+	0.0531732i
$280$	9.66960e6	+	1.02081e7i	0.440488	+	0.465018i
$281$	1.43466e7	−	1.09060e7i	0.646591	−	0.491526i	−0.229729	−	0.973255i	$-0.573784\pi$
$281$	1.43466e7	−	1.09060e7i	0.646591	−	0.491526i	0.876320	+	0.481729i	$0.159991\pi$
$282$	7.78384e6	−	1.71335e6i	0.347094	−	0.0764011i
$283$	−2.29835e7	+	1.95224e7i	−1.01405	+	0.861338i	−0.990379	−	0.138382i	$-0.955810\pi$
$283$	−2.29835e7	+	1.95224e7i	−1.01405	+	0.861338i	−0.0236664	+	0.999720i	$0.507534\pi$
$284$	753678.	−	1.39008e7i	0.0329026	−	0.606853i
$285$	806177.	+	1.52061e6i	0.0348254	+	0.0656876i
$286$	1.78072e7	−	8.08988e7i	0.761197	−	3.45815i
$287$	1.54703e7	−	7.15732e6i	0.654414	−	0.302764i
$288$	1.28729e7	−	2.13950e7i	0.538890	−	0.895643i
$289$	−8.73498e6	+	1.64759e7i	−0.361883	+	0.682584i
$290$	1.64459e7	+	1.39692e7i	0.674315	+	0.572768i
$291$	6.38730e6	−	6.74299e6i	0.259202	−	0.273636i
$292$	−1.25358e6	+	1.15264e7i	−0.0503503	+	0.462963i
$293$	−1.48469e6	+	3.72630e6i	−0.0590246	+	0.148141i	−0.955531	−	0.294889i	$-0.904717\pi$
$293$	−1.48469e6	+	3.72630e6i	−0.0590246	+	0.148141i	0.896507	+	0.443030i	$0.146097\pi$
$294$			3.13260e6i			0.123271i
$295$	3.80223e6	−	4.71042e7i	0.148106	−	1.83482i
$296$	−4.05641e6			−0.156411
$297$	−1.68437e7	−	6.71115e6i	−0.642938	−	0.256170i
$298$	−1.48511e7	−	1.61515e6i	−0.561188	−	0.0610329i
$299$	2.63620e7	+	2.49714e7i	0.986198	+	0.934176i
$300$	5.20283e6	−	6.12525e6i	0.192698	−	0.226861i
$301$	2.00817e6	+	1.06466e6i	0.0736378	+	0.0390403i
$302$	1.01631e7	+	6.11494e6i	0.368983	+	0.222009i
$303$	2.58281e6	+	5.58266e6i	0.0928464	+	0.200684i
$304$	6.81415e6	+	1.49991e6i	0.242544	+	0.0533881i
$305$	−5.08123e7	+	2.69390e7i	−1.79089	+	0.949471i
$306$	1.66657e7	+	903590.i	0.581648	+	0.0315360i
$307$	−9.24274e6	−	1.08814e7i	−0.319437	−	0.376070i	0.578884	−	0.815410i	$-0.303488\pi$
$307$	−9.24274e6	−	1.08814e7i	−0.319437	−	0.376070i	−0.898321	+	0.439339i	$0.855213\pi$
$308$	4.92788e6	+	2.23876e7i	0.168658	+	0.766223i
$309$	−3.18126e6	−	4.18488e6i	−0.107826	−	0.141843i
$310$	−5.18666e7	+	4.91306e7i	−1.74102	+	1.64918i
$311$	103657.	+	1.91183e6i	0.00344600	+	0.0635578i	0.999751	−	0.0223326i	$-0.00710927\pi$
$311$	103657.	+	1.91183e6i	0.00344600	+	0.0635578i	−0.996305	+	0.0858904i	$0.972627\pi$
$312$	−4.00126e6	+	2.40748e6i	−0.131745	+	0.0792681i
$313$	2.18286e7	+	1.48001e7i	0.711857	+	0.482651i	0.862577	−	0.505926i	$-0.168849\pi$
$313$	2.18286e7	+	1.48001e7i	0.711857	+	0.482651i	−0.150720	+	0.988576i	$0.548159\pi$
$314$	−682763.	+	2.45909e6i	−0.0220537	+	0.0794302i
$315$	−3.95060e7	+	4.29653e6i	−1.26395	+	0.137463i
$316$	7.20569e6	+	5.47762e6i	0.228357	+	0.173593i
$317$	2.30483e7	+	1.06633e7i	0.723537	+	0.334744i	0.746857	−	0.664984i	$-0.231562\pi$
$317$	2.30483e7	+	1.06633e7i	0.723537	+	0.334744i	−0.0233204	+	0.999728i	$0.507424\pi$
$318$	5.70629e6	−	3.86896e6i	0.177449	−	0.120313i
$319$	−6.87906e6	−	2.04163e7i	−0.211913	−	0.628935i
$320$	−1.47263e6	−	8.98265e6i	−0.0449411	−	0.274129i
$321$	−314669.	+	1.91940e6i	−0.00951348	+	0.0580296i
$322$	−2.48772e7	−	8.38210e6i	−0.745132	−	0.251064i
$323$	864161.	+	3.11243e6i	0.0256441	+	0.0923616i
$324$	6.87466e6	+	1.72541e7i	0.202123	+	0.507291i
$325$	1.20556e8	−	4.80339e7i	3.51187	−	1.39926i
$326$	1.14651e7	−	3.18328e6i	0.330922	−	0.0918801i
$327$	−3.55843e6	+	1.05610e7i	−0.101769	+	0.302039i
$328$	1.68657e7	+	2.76500e6i	0.477951	+	0.0783562i
$329$	−3.51465e7	+	5.76197e6i	−0.986948	+	0.161802i
$330$	−2.81818e7	+	9.49557e6i	−0.784201	+	0.264228i
$331$	2.98301e7	+	4.39961e7i	0.822566	+	1.21319i	0.974407	+	0.224790i	$0.0721695\pi$
$331$	2.98301e7	+	4.39961e7i	0.822566	+	1.21319i	−0.151841	+	0.988405i	$0.548520\pi$
$332$	3.41126e6	−	7.37331e6i	0.0932180	−	0.201487i
$333$	6.93791e6	−	9.12667e6i	0.187887	−	0.247161i
$334$	−7.36468e6	−	6.77171e7i	−0.197658	−	1.81744i
$335$	−3.75721e7	−	1.04318e7i	−0.999381	−	0.277477i
$336$	3.80392e6	−	5.61036e6i	0.100280	−	0.147902i
$337$	6.89836e6	+	1.14652e7i	0.180242	+	0.299565i	0.933785	−	0.357834i	$-0.116484\pi$
$337$	6.89836e6	+	1.14652e7i	0.180242	+	0.299565i	−0.753543	+	0.657398i	$0.771657\pi$
$338$	7.38662e7	−	4.00491e6i	1.91292	−	0.103715i
$339$	315793.	+	333379.i	0.00810594	+	0.00855734i
$340$	1.70350e7	−	1.29496e7i	0.433416	−	0.329474i
$341$	6.96624e7	−	1.53339e7i	1.75685	−	0.386712i
$342$	−7.48535e6	+	6.35812e6i	−0.187126	+	0.158946i
$343$	2.33029e6	−	4.29796e7i	0.0577467	−	1.06507i
$344$	1.06748e6	+	2.01349e6i	0.0262232	+	0.0494622i
$345$	2.80237e6	−	1.27313e7i	0.0682447	−	0.310039i
$346$	−8.41620e7	+	3.89375e7i	−2.03183	+	0.940026i
$347$	3.31515e7	−	5.50982e7i	0.793441	−	1.31871i	−0.150504	−	0.988609i	$-0.548090\pi$
$347$	3.31515e7	−	5.50982e7i	0.793441	−	1.31871i	0.943946	−	0.330101i	$-0.107083\pi$
$348$	928919.	−	1.75213e6i	0.0220415	−	0.0415746i
$349$	−1.39635e7	−	1.18607e7i	−0.328487	−	0.279019i	0.467932	−	0.883764i	$-0.344999\pi$
$349$	−1.39635e7	−	1.18607e7i	−0.328487	−	0.279019i	−0.796419	+	0.604745i	$0.793275\pi$
$350$	−6.45195e7	+	6.81124e7i	−1.50483	+	1.58863i
$351$	2.91386e6	−	2.67925e7i	0.0673824	−	0.619571i
$352$	−3.09061e7	+	7.75686e7i	−0.708625	+	1.77852i
$353$			6.40645e6i			0.145644i	0.997345	+	0.0728221i	$0.0232005\pi$
$353$			6.40645e6i			0.145644i	−0.997345	+	0.0728221i	$0.976799\pi$
$354$	−1.12414e7	+	1.53966e6i	−0.253402	+	0.0347069i
$355$	−8.07026e7			−1.80386
$356$	−4.08525e7	−	1.62771e7i	−0.905458	−	0.360768i
$357$	3.11967e6	+	339285.i	0.0685653	+	0.00745692i
$358$	3.21259e7	+	3.04312e7i	0.700174	+	0.663240i
$359$	2.21315e6	−	2.60552e6i	0.0478329	−	0.0563132i	−0.737725	−	0.675101i	$-0.764100\pi$
$359$	2.21315e6	−	2.60552e6i	0.0478329	−	0.0563132i	0.785558	+	0.618788i	$0.212376\pi$
$360$	−3.52028e7	−	1.86633e7i	−0.754518	−	0.400020i
$361$	3.86829e7	+	2.32747e7i	0.822238	+	0.494724i
$362$	5.78274e6	+	1.24992e7i	0.121901	+	0.263485i
$363$	1.96111e7	+	4.31674e6i	0.409999	+	0.0902476i
$364$	−3.01042e7	+	1.59602e7i	−0.624198	+	0.330929i
$365$	6.71154e7	+	3.63889e6i	1.38021	+	0.0748326i
$366$	8.93935e6	+	1.05242e7i	0.182332	+	0.214658i
$367$	1.92169e7	+	8.73031e7i	0.388763	+	1.76617i	0.611456	+	0.791278i	$0.290584\pi$
$367$	1.92169e7	+	8.73031e7i	0.388763	+	1.76617i	−0.222694	+	0.974888i	$0.571485\pi$
$368$	−3.19822e7	−	4.20718e7i	−0.641748	−	0.844205i
$369$	−3.50675e7	+	3.32177e7i	−0.697952	+	0.661135i
$370$	−2.07882e6	−	3.83415e7i	−0.0410403	−	0.756944i
$371$	−2.63979e7	+	1.58831e7i	−0.516948	+	0.311037i
$372$	5.43456e6	+	3.68473e6i	0.105569	+	0.0715775i
$373$	2.38903e7	−	8.60452e7i	0.460358	−	1.65806i	−0.260879	−	0.965371i	$-0.584012\pi$
$373$	2.38903e7	−	8.60452e7i	0.460358	−	1.65806i	0.721237	−	0.692688i	$-0.243574\pi$
$374$	−5.54863e7	+	6.03450e6i	−1.06065	+	0.115352i
$375$	−2.15612e7	−	1.63904e7i	−0.408864	−	0.310811i
$376$	−3.24095e7	−	1.49942e7i	−0.609690	−	0.282073i
$377$	2.65050e7	−	1.79709e7i	0.494657	−	0.335386i
$378$	6.22121e6	+	1.84639e7i	0.115186	+	0.341860i
$379$	4.77257e6	+	2.91114e7i	0.0876667	+	0.534743i	0.993749	+	0.111641i	$0.0356106\pi$
$379$	4.77257e6	+	2.91114e7i	0.0876667	+	0.534743i	−0.906082	+	0.423102i	$0.860941\pi$
$380$	−2.03709e6	+	1.24257e7i	−0.0371245	+	0.226449i
$381$	1.31797e7	+	4.44074e6i	0.238303	+	0.0802935i
$382$	−5.51622e6	−	1.98676e7i	−0.0989581	−	0.356415i
$383$	−1.10105e7	−	2.76343e7i	−0.195980	−	0.491872i	0.797841	−	0.602868i	$-0.205975\pi$
$383$	−1.10105e7	−	2.76343e7i	−0.195980	−	0.491872i	−0.993821	+	0.110996i	$0.964596\pi$
$384$	9.48271e6	−	3.77826e6i	0.167471	−	0.0667264i
$385$	1.28046e8	−	3.55519e7i	2.24380	−	0.622989i
$386$	−1.13767e7	+	3.37647e7i	−0.197812	+	0.587085i
$387$	−6.35599e6	−	1.04201e6i	−0.109661	−	0.0179779i
$388$	6.70555e7	−	1.09932e7i	1.14799	−	0.188204i
$389$	−5.93430e7	+	1.99950e7i	−1.00814	+	0.339682i	−0.774454	−	0.632631i	$-0.781975\pi$
$389$	−5.93430e7	+	1.99950e7i	−1.00814	+	0.339682i	−0.233685	+	0.972312i	$0.575079\pi$
$390$	−2.48062e7	−	3.65864e7i	−0.418183	−	0.616774i
$391$	1.02731e7	−	2.22049e7i	0.171858	−	0.371466i
$392$	8.49390e6	−	1.11735e7i	0.141010	−	0.185495i
$393$	1.43386e6	+	1.31841e7i	0.0236226	+	0.217206i
$394$	6.16015e7	+	1.71036e7i	1.00717	+	0.279639i
$395$	2.94463e7	−	4.34301e7i	0.477793	−	0.704692i
$396$	−3.34896e7	−	5.56602e7i	−0.539293	−	0.896312i
$397$	−1.20169e8	+	6.51538e6i	−1.92053	+	0.104128i	−0.975110	−	0.221723i	$-0.928832\pi$
$397$	−1.20169e8	+	6.51538e6i	−1.92053	+	0.104128i	−0.945421	+	0.325851i	$0.894349\pi$
$398$	1.00167e8	+	1.05745e8i	1.58882	+	1.67730i
$399$	−1.47004e6	+	1.11750e6i	−0.0231425	+	0.0175925i
$400$	−1.84457e8	+	4.06020e7i	−2.88213	+	0.634405i
$401$	−1.29376e7	+	1.09893e7i	−0.200642	+	0.170427i	−0.742075	−	0.670317i	$-0.766158\pi$
$401$	−1.29376e7	+	1.09893e7i	−0.200642	+	0.170427i	0.541432	+	0.840744i	$0.317882\pi$
$402$	−506859.	+	9.34846e6i	−0.00780205	+	0.143900i
$403$	4.96627e7	+	9.36737e7i	0.758778	+	1.43121i
$404$	−9.67413e6	+	4.39500e7i	−0.146713	+	0.666523i
$405$	9.77196e7	−	4.52099e7i	1.47101	−	0.680563i
$406$	−1.19356e7	+	1.98371e7i	−0.178347	+	0.296414i
$407$	−1.79577e7	+	3.38718e7i	−0.266359	+	0.502406i
$408$	2.39805e6	+	2.03692e6i	0.0353084	+	0.0299912i
$409$	2.10183e7	−	2.21888e7i	0.307205	−	0.324313i	−0.554052	−	0.832482i	$-0.686919\pi$
$409$	2.10183e7	−	2.21888e7i	0.307205	−	0.324313i	0.861257	+	0.508170i	$0.169678\pi$
$410$	−1.74917e7	+	1.60833e8i	−0.253793	+	2.33359i
$411$	−4.70959e6	+	1.18202e7i	−0.0678356	+	0.170254i
$412$		−	3.84586e7i		−	0.549923i
$413$	5.05323e7	−	4.15049e6i	0.717331	−	0.0589182i
$414$	7.43886e7			1.04835
$415$	−4.37518e7	−	1.74323e7i	−0.612141	−	0.243899i
$416$	−1.23384e8	−	1.34189e7i	−1.71388	−	0.186396i
$417$	1.15159e6	+	1.09085e6i	0.0158815	+	0.0150437i
$418$	2.12621e7	−	2.50316e7i	0.291123	−	0.342737i
$419$	−4.10143e7	−	2.17444e7i	−0.557562	−	0.295601i	0.165698	−	0.986177i	$-0.447012\pi$
$419$	−4.10143e7	−	2.17444e7i	−0.557562	−	0.295601i	−0.723260	+	0.690576i	$0.757357\pi$
$420$	1.04816e7	+	6.30655e6i	0.141475	+	0.0851224i
$421$	−2.67639e7	−	5.78492e7i	−0.358677	−	0.775267i	−0.999968	−	0.00796959i	$-0.997463\pi$
$421$	−2.67639e7	−	5.78492e7i	−0.358677	−	0.775267i	0.641292	−	0.767297i	$-0.278399\pi$
$422$	1.84254e8	+	4.05573e7i	2.45176	+	0.539674i
$423$	8.91679e7	−	4.72738e7i	1.17811	−	0.624597i
$424$	−3.08441e7	−	1.67232e6i	−0.404645	−	0.0219392i
$425$	−5.66070e7	−	6.66430e7i	−0.737401	−	0.868136i
$426$	4.16536e6	+	1.89234e7i	0.0538795	+	0.244777i
$427$	−3.73419e7	−	4.91224e7i	−0.479637	−	0.630951i
$428$	−1.03308e7	+	9.78583e6i	−0.131765	+	0.124815i
$429$	2.38936e6	+	4.40691e7i	0.0302628	+	0.558164i
$430$	−1.84846e7	+	1.11218e7i	−0.232490	+	0.139884i
$431$	−6.99048e6	−	4.73967e6i	−0.0873123	−	0.0591992i	0.516750	−	0.856136i	$-0.327142\pi$
$431$	−6.99048e6	−	4.73967e6i	−0.0873123	−	0.0591992i	−0.604062	+	0.796937i	$0.706452\pi$
$432$	−1.04935e7	+	3.77941e7i	−0.130157	+	0.468784i
$433$	6.72471e6	−	731357.i	0.0828343	−	0.00900877i	−0.0666080	−	0.997779i	$-0.521218\pi$
$433$	6.72471e6	−	731357.i	0.0828343	−	0.00900877i	0.149442	+	0.988770i	$0.452252\pi$
$434$	−6.10207e7	−	4.63867e7i	−0.746462	−	0.567446i
$435$	−1.04339e7	−	4.82724e6i	−0.126759	−	0.0586451i
$436$	−6.74838e7	+	4.57551e7i	−0.814217	+	0.552053i
$437$	4.59696e6	+	1.36433e7i	0.0550841	+	0.163484i
$438$	−2.61082e6	−	1.59253e7i	−0.0310709	−	0.189524i
$439$	−8.00907e6	+	4.88532e7i	−0.0946648	+	0.577430i	0.896315	+	0.443418i	$0.146234\pi$
$439$	−8.00907e6	+	4.88532e7i	−0.0946648	+	0.577430i	−0.990980	+	0.134012i	$0.957214\pi$
$440$	1.26267e8	+	4.25444e7i	1.48229	+	0.499442i
$441$	1.06121e7	+	3.82214e7i	0.123733	+	0.445647i
$442$	−3.07069e7	−	7.70684e7i	−0.355606	−	0.892503i
$443$	−7.75975e7	+	3.09177e7i	−0.892559	+	0.355628i	−0.770909	−	0.636945i	$-0.780198\pi$
$443$	−7.75975e7	+	3.09177e7i	−0.892559	+	0.355628i	−0.121650	+	0.992573i	$0.538818\pi$
$444$	−3.40036e6	+	944104.i	−0.0388486	+	0.0107863i
$445$	−8.14003e7	+	2.41587e8i	−0.923732	+	2.74154i
$446$	−5.59745e7	−	9.17656e6i	−0.630937	−	0.103437i
$447$	7.85429e6	−	1.28765e6i	0.0879396	−	0.0144170i
$448$	9.25492e6	−	3.11834e6i	0.102929	−	0.0346809i
$449$	6.53533e6	+	9.63888e6i	0.0721985	+	0.106485i	0.862074	−	0.506782i	$-0.169165\pi$
$449$	6.53533e6	+	9.63888e6i	0.0721985	+	0.106485i	−0.789876	+	0.613267i	$0.789855\pi$
$450$	1.11630e8	−	2.41285e8i	1.22502	−	2.64784i
$451$	9.77525e7	−	1.28591e8i	1.06561	−	1.40179i
$452$	363229.	+	3.33984e6i	0.00393338	+	0.0361668i
$453$	−6.08902e6	−	1.69061e6i	−0.0655018	−	0.0181865i
$454$	8.16172e7	−	1.20376e8i	0.872196	−	1.28639i
$455$	1.01836e8	+	1.69252e8i	1.08110	+	1.79680i
$456$	−1.84874e6	+	100236.i	−0.0194976	+	0.00105713i
$457$	−1.12094e8	−	1.18337e8i	−1.17445	−	1.23985i	−0.965062	−	0.262022i	$-0.915611\pi$
$457$	−1.12094e8	−	1.18337e8i	−1.17445	−	1.23985i	−0.209390	−	0.977832i	$-0.567148\pi$
$458$	−1.01673e8	+	7.72900e7i	−1.05830	+	0.804501i
$459$	−1.77343e7	+	3.90362e6i	−0.183390	+	0.0403673i
$460$	7.26892e7	−	6.17427e7i	0.746786	−	0.634326i
$461$	−6.49420e6	+	1.19778e8i	−0.0662862	+	1.22258i	0.756411	+	0.654097i	$0.226951\pi$
$461$	−6.49420e6	+	1.19778e8i	−0.0662862	+	1.22258i	−0.822697	+	0.568480i	$0.807532\pi$
$462$	−1.49453e7	−	2.81898e7i	−0.151558	−	0.285868i
$463$	−1.48288e7	+	6.73680e7i	−0.149404	+	0.678751i	0.841055	+	0.540949i	$0.181935\pi$
$463$	−1.48288e7	+	6.73680e7i	−0.149404	+	0.678751i	−0.990460	+	0.137802i	$0.955996\pi$
$464$	−4.22988e7	+	1.95695e7i	−0.423422	+	0.195896i
$465$	1.96238e7	−	3.26150e7i	0.195175	−	0.324383i
$466$	6.46673e6	−	1.21976e7i	0.0639039	−	0.120536i
$467$	−6.00793e7	−	5.10319e7i	−0.589895	−	0.501061i	0.301998	−	0.953309i	$-0.402346\pi$
$467$	−6.00793e7	−	5.10319e7i	−0.589895	−	0.501061i	−0.891892	+	0.452248i	$0.850622\pi$
$468$	6.64000e7	−	7.00976e7i	0.647784	−	0.683857i
$469$	4.52327e6	−	4.15908e7i	0.0438464	−	0.403161i
$470$	1.25118e8	−	3.14021e8i	1.20510	−	3.02458i
$471$		−	1.35974e6i		−	0.0130135i
$472$	4.42712e7	+	2.49888e7i	0.421013	+	0.237640i
$473$	2.15387e7			0.203534
$474$	−1.17035e7	−	4.66309e6i	−0.109895	−	0.0437863i
$475$	5.11513e7	+	5.56304e6i	0.477283	+	0.0519077i
$476$	1.66675e7	+	1.57883e7i	0.154543	+	0.146391i
$477$	5.65169e7	−	6.65369e7i	0.520743	−	0.613066i
$478$	1.50659e8	+	7.98743e7i	1.37947	+	0.731347i
$479$	−6.60547e7	−	3.97438e7i	−0.601031	−	0.361628i	0.182291	−	0.983245i	$-0.441649\pi$
$479$	−6.60547e7	−	3.97438e7i	−0.601031	−	0.361628i	−0.783322	+	0.621616i	$0.786476\pi$
$480$	1.87091e7	+	4.04390e7i	0.169172	+	0.365659i
$481$	−5.56524e7	−	1.22500e7i	−0.500090	−	0.110078i
$482$	2.83944e7	−	1.50537e7i	0.253566	−	0.134432i
$483$	1.39659e7	+	757210.i	0.123945	+	0.00672009i
$484$	9.51076e7	+	1.11969e8i	0.838840	+	0.987559i
$485$	−8.46806e7	−	3.84708e8i	−0.742264	−	3.37214i
$486$	−5.04630e7	−	6.63830e7i	−0.439607	−	0.578293i
$487$	7.57682e7	−	7.17714e7i	0.655994	−	0.621390i	−0.285517	−	0.958374i	$-0.592165\pi$
$487$	7.57682e7	−	7.17714e7i	0.655994	−	0.621390i	0.941511	+	0.336983i	$0.109407\pi$
$488$	−3.34945e6	−	6.17771e7i	−0.0288214	−	0.531579i
$489$	−5.43210e6	+	3.26839e6i	−0.0464560	+	0.0279516i
$490$	1.09966e8	+	7.45587e7i	0.934695	+	0.633739i
$491$	−1.14430e7	+	4.12138e7i	−0.0966705	+	0.348176i	−0.996028	−	0.0890379i	$-0.971621\pi$
$491$	−1.14430e7	+	4.12138e7i	−0.0966705	+	0.348176i	0.899358	+	0.437213i	$0.144035\pi$
$492$	1.47815e7	−	1.60759e6i	0.124115	−	0.0134983i
$493$	−1.71770e7	−	1.30576e7i	−0.143353	−	0.108974i
$494$	4.43055e7	+	2.04979e7i	0.367516	+	0.170031i
$495$	−3.11684e8	+	2.11327e8i	−2.56980	+	1.74237i
$496$	−4.92709e7	−	1.46231e8i	−0.403780	−	1.19838i
$497$	−1.40080e7	−	8.54452e7i	−0.114106	−	0.696015i
$498$	−1.82939e6	+	1.11588e7i	−0.0148122	+	0.0903504i
$499$	−8.86727e7	−	2.98773e7i	−0.713655	−	0.240458i	−0.0610260	−	0.998136i	$-0.519437\pi$
$499$	−8.86727e7	−	2.98773e7i	−0.713655	−	0.240458i	−0.652629	+	0.757678i	$0.726334\pi$
$500$	−5.30095e7	−	1.90923e8i	−0.424076	−	1.52738i
$501$	1.34329e7	+	3.37141e7i	0.106821	+	0.268101i
$502$	−1.65810e8	+	6.60646e7i	−1.31069	+	0.522225i
$503$	2.04116e8	−	5.66725e7i	1.60388	−	0.445316i	0.653635	−	0.756810i	$-0.273243\pi$
$503$	2.04116e8	−	5.66725e7i	1.60388	−	0.445316i	0.950248	+	0.311494i	$0.100829\pi$
$504$	1.36498e7	−	4.05111e7i	0.106619	−	0.316433i
$505$	2.57446e8	+	4.22060e7i	1.99899	+	0.327718i
$506$	−2.45485e8	+	4.02452e7i	−1.89484	+	0.310644i
$507$	−3.73498e7	+	1.25846e7i	−0.286592	+	0.0965640i
$508$	5.71001e7	+	8.42164e7i	0.435558	+	0.642400i
$509$	−8.76380e7	+	1.89426e8i	−0.664567	+	1.43644i	0.222562	+	0.974918i	$0.428558\pi$
$509$	−8.76380e7	+	1.89426e8i	−0.664567	+	1.43644i	−0.887130	+	0.461520i	$0.847304\pi$
$510$	−1.80242e7	+	2.37104e7i	−0.135877	+	0.178743i
$511$	7.79689e6	+	7.16912e7i	0.0584331	+	0.537283i
$512$	9.67990e7	+	2.68761e7i	0.721209	+	0.200243i
$513$	5.99652e6	−	8.84421e6i	0.0444168	−	0.0655099i
$514$	−6.95539e7	−	1.15600e8i	−0.512192	−	0.851269i
$515$	−2.22622e8	+	1.20702e7i	−1.62984	+	0.0883676i
$516$	1.36346e6	+	1.43939e6i	0.00992417	+	0.0104768i
$517$	−2.68681e8	+	2.04246e8i	−1.94431	+	1.47803i
$518$	4.02339e7	−	8.85614e6i	0.289469	−	0.0637170i
$519$	3.76561e7	−	3.19854e7i	0.269360	−	0.228797i
$520$	−1.07222e7	+	1.97759e8i	−0.0762560	+	1.40646i
$521$	4.75358e7	+	8.96620e7i	0.336130	+	0.634009i	0.992748	−	0.120215i	$-0.0383583\pi$
$521$	4.75358e7	+	8.96620e7i	0.336130	+	0.634009i	−0.656618	+	0.754224i	$0.728013\pi$
$522$	1.41027e7	−	6.40693e7i	0.0991496	−	0.450441i
$523$	1.55666e7	−	7.20187e6i	0.108815	−	0.0503432i	−0.364726	−	0.931115i	$-0.618837\pi$
$523$	1.55666e7	−	7.20187e6i	0.108815	−	0.0503432i	0.473541	+	0.880772i	$0.342975\pi$
$524$	−5.00210e7	+	8.31356e7i	−0.347663	+	0.577821i
$525$	2.34138e7	−	4.41631e7i	0.161806	−	0.305198i
$526$	8.40787e7	+	7.14171e7i	0.577735	+	0.490733i
$527$	4.91277e7	−	5.18635e7i	0.335656	−	0.354348i
$528$	6.94476e6	−	6.38560e7i	0.0471797	−	0.433811i
$529$	−1.44315e7	+	3.62203e7i	−0.0974865	+	0.244673i
$530$		−	2.92397e8i		−	1.96402i
$531$	−1.31943e8	+	5.68676e7i	−0.881256	+	0.379823i
$532$	−1.35095e7			−0.0897233
$533$	2.23041e8	+	8.88677e7i	1.47300	+	0.586898i
$534$	6.08496e7	+	6.61780e6i	0.399608	+	0.0434600i
$535$	5.98886e7	+	5.67295e7i	0.391096	+	0.370466i
$536$	2.71558e7	−	3.19703e7i	0.176347	−	0.207612i
$537$	−2.08300e7	−	1.10433e7i	−0.134513	−	0.0713145i
$538$	−1.75015e8	−	1.05303e8i	−1.12390	−	0.676229i
$539$	−5.56986e7	−	1.20391e8i	−0.355695	−	0.768823i
$540$	−6.91306e7	−	1.52168e7i	−0.439025	−	0.0966367i
$541$	−1.62917e8	+	8.63731e7i	−1.02890	+	0.545490i	−0.895262	−	0.445540i	$-0.853012\pi$
$541$	−1.62917e8	+	8.63731e7i	−1.02890	+	0.545490i	−0.133641	+	0.991030i	$0.542667\pi$
$542$	3.32117e8	+	1.80069e7i	2.08590	+	0.113094i
$543$	−4.75026e6	−	5.59244e6i	−0.0296700	−	0.0349303i
$544$	1.79769e7	+	8.16699e7i	0.111665	+	0.507301i
$545$	2.86038e8	+	3.76277e8i	1.76699	+	2.32444i
$546$	3.44307e7	−	3.26145e7i	0.211528	−	0.200370i
$547$	−2.93103e6	−	5.40596e7i	−0.0179084	−	0.330302i	−0.993736	−	0.111758i	$-0.964352\pi$
$547$	−2.93103e6	−	5.40596e7i	−0.0179084	−	0.330302i	0.975827	−	0.218544i	$-0.0701308\pi$
$548$	−7.97632e7	+	4.79919e7i	−0.484686	+	0.291626i
$549$	1.44723e8	+	9.81247e7i	0.874623	+	0.593009i
$550$	−2.37845e8	+	8.56640e8i	−1.42957	+	5.14885i
$551$	1.26222e7	−	1.37274e6i	0.0754534	−	0.00820605i
$552$	1.11640e7	+	8.48665e6i	0.0663747	+	0.0504567i
$553$	5.10935e7	+	2.36384e7i	0.302127	+	0.139779i
$554$	2.45231e8	−	1.66270e8i	1.44227	−	0.977881i
$555$	6.53225e6	+	1.93870e7i	0.0382106	+	0.113405i
$556$	1.87746e6	+	1.14520e7i	0.0109231	+	0.0666279i
$557$	−2.55375e7	+	1.55772e8i	−0.147779	+	0.901413i	0.804000	+	0.594629i	$0.202701\pi$
$557$	−2.55375e7	+	1.55772e8i	−0.147779	+	0.901413i	−0.951779	+	0.306784i	$0.900747\pi$
$558$	2.05834e8	+	6.93536e7i	1.18472	+	0.399178i
$559$	8.56490e6	+	3.08480e7i	0.0490328	+	0.176600i
$560$	−1.06408e8	−	2.67063e8i	−0.605912	−	1.52072i
$561$	2.76248e7	−	1.10067e7i	0.156463	−	0.0623404i
$562$	−1.76820e8	+	4.90939e7i	−0.996146	+	0.276578i
$563$	−2.34801e7	+	6.96864e7i	−0.131575	+	0.390501i	−0.993108	−	0.117200i	$-0.962608\pi$
$563$	−2.34801e7	+	6.96864e7i	−0.131575	+	0.390501i	0.861533	+	0.507701i	$0.169505\pi$
$564$	−3.06576e7	−	5.02607e6i	−0.170884	−	0.0280150i
$565$	1.92190e7	−	3.15080e6i	0.106558	−	0.0174693i
$566$	2.90999e8	−	9.80489e7i	1.60488	−	0.540746i
$567$	6.48285e7	+	9.56149e7i	0.355645	+	0.524537i
$568$	3.64528e7	−	7.87914e7i	0.198923	−	0.429965i
$569$	5.30527e7	−	6.97896e7i	0.287985	−	0.378838i	−0.629237	−	0.777213i	$-0.716633\pi$
$569$	5.30527e7	−	6.97896e7i	0.287985	−	0.378838i	0.917223	+	0.398375i	$0.130426\pi$
$570$	−1.89487e6	−	1.74231e7i	−0.0102319	−	0.0940807i
$571$	−2.62521e8	−	7.28887e7i	−1.41012	−	0.391518i	−0.522715	−	0.852507i	$-0.675081\pi$
$571$	−2.62521e8	−	7.28887e7i	−1.41012	−	0.391518i	−0.887406	+	0.460989i	$0.847495\pi$
$572$	−1.81198e8	+	2.67247e8i	−0.968202	+	1.42799i
$573$	5.66371e6	+	9.41316e6i	0.0301049	+	0.0500347i
$574$	−1.73321e8	+	9.39718e6i	−0.916463	+	0.0496892i
$575$	−2.68010e8	−	2.82934e8i	−1.40977	−	1.48827i
$576$	−2.20314e7	+	1.67478e7i	−0.115285	+	0.0876377i
$577$	3.08124e7	−	6.78233e6i	0.160398	−	0.0353062i	−0.134045	−	0.990975i	$-0.542797\pi$
$577$	3.08124e7	−	6.78233e6i	0.160398	−	0.0353062i	0.294443	+	0.955669i	$0.404866\pi$
$578$	1.44729e8	−	1.22934e8i	0.749503	−	0.636634i
$579$	1.02773e6	−	1.89553e7i	0.00529472	−	0.0976553i
$580$	−3.93971e7	−	7.43108e7i	−0.201920	−	0.380862i
$581$	1.08625e7	−	4.93488e7i	0.0553861	−	0.251622i
$582$	−8.58369e7	+	3.97124e7i	−0.435417	+	0.201445i
$583$	−1.50510e8	+	2.50150e8i	−0.759557	+	1.26239i
$584$	−3.38683e7	+	6.38823e7i	−0.170041	+	0.320732i
$585$	−4.26607e8	−	3.62363e8i	−2.13089	−	1.80999i
$586$	2.80895e7	−	2.96537e7i	0.139589	−	0.147362i
$587$	2.21567e6	−	2.03727e7i	0.0109544	−	0.100724i	−0.987384	−	0.158342i	$-0.949385\pi$
$587$	2.21567e6	−	2.03727e7i	0.0109544	−	0.100724i	0.998339	+	0.0576180i	$0.0183505\pi$
$588$	4.51958e6	−	1.13433e7i	0.0222314	−	0.0557966i
$589$			4.20369e7i			0.205724i
$590$	−2.13508e8	+	4.31261e8i	−1.03958	+	2.09983i
$591$	−3.40621e7			−0.165010
$592$	7.70454e7	+	3.06977e7i	0.371348	+	0.147959i
$593$	−1.40038e8	−	1.52300e7i	−0.671554	−	0.0730359i	−0.234012	−	0.972234i	$-0.575185\pi$
$593$	−1.40038e8	−	1.52300e7i	−0.671554	−	0.0730359i	−0.437542	+	0.899198i	$0.644151\pi$
$594$	1.34042e8	+	1.26971e8i	0.639559	+	0.605822i
$595$	8.61612e7	−	1.01437e8i	0.409036	−	0.481554i
$596$	5.14462e7	+	2.72751e7i	0.243005	+	0.128833i
$597$	−6.64950e7	−	4.00087e7i	−0.312512	−	0.188032i
$598$	−1.55257e8	−	3.35582e8i	−0.726018	−	1.56926i
$599$	2.73628e8	+	6.02300e7i	1.27315	+	0.280242i	0.799604	−	0.600527i	$-0.205043\pi$
$599$	2.73628e8	+	6.02300e7i	1.27315	+	0.280242i	0.473546	+	0.880769i	$0.342974\pi$
$600$	4.42801e7	−	2.34758e7i	0.205000	−	0.108684i
$601$	1.91502e8	+	1.03829e7i	0.882166	+	0.0478296i	0.489653	−	0.871917i	$-0.337123\pi$
$601$	1.91502e8	+	1.03829e7i	0.882166	+	0.0478296i	0.392512	+	0.919747i	$0.371606\pi$
$602$	−1.49839e7	−	1.76404e7i	−0.0686806	−	0.0808571i
$603$	2.54850e7	+	1.15779e8i	0.116234	+	0.528056i
$604$	−2.79788e7	−	3.68055e7i	−0.126975	−	0.167033i
$605$	6.18297e8	−	5.85682e8i	2.79210	−	2.64482i
$606$	−3.39110e6	−	6.25451e7i	−0.0152378	−	0.281045i
$607$	−1.17484e7	+	7.06879e6i	−0.0525307	+	0.0316067i	−0.541577	−	0.840651i	$-0.682173\pi$
$607$	−1.17484e7	+	7.06879e6i	−0.0525307	+	0.0316067i	0.489046	+	0.872258i	$0.337345\pi$
$608$	−4.07293e7	−	2.76151e7i	−0.181216	−	0.122867i
$609$	3.29985e6	−	1.18850e7i	0.0146097	−	0.0526195i
$610$	5.82204e8	−	6.33185e7i	2.56499	−	0.278960i
$611$	−3.99365e8	−	3.03589e8i	−1.75084	−	1.33095i
$612$	−5.90439e7	−	2.73166e7i	−0.257585	−	0.119171i
$613$	−2.09897e8	+	1.42314e8i	−0.911224	+	0.617825i	−0.924124	−	0.382092i	$-0.875204\pi$
$613$	−2.09897e8	+	1.42314e8i	−0.911224	+	0.617825i	0.0129008	+	0.999917i	$0.495893\pi$
$614$	4.64206e7	+	1.37771e8i	0.200542	+	0.595188i
$615$	−1.39449e7	−	8.50599e7i	−0.0599499	−	0.365678i
$616$	−2.31276e7	+	1.41072e8i	−0.0989440	+	0.603532i
$617$	8.52456e7	+	2.87226e7i	0.362925	+	0.122284i	0.494855	−	0.868975i	$-0.335221\pi$
$617$	8.52456e7	+	2.87226e7i	0.362925	+	0.122284i	−0.131931	+	0.991259i	$0.542118\pi$
$618$	1.43206e7	+	5.15781e7i	0.0606730	+	0.218525i
$619$	−5.92801e7	−	1.48782e8i	−0.249941	−	0.627303i	0.749455	−	0.662055i	$-0.230315\pi$
$619$	−5.92801e7	−	1.48782e8i	−0.249941	−	0.627303i	−0.999396	+	0.0347513i	$0.988936\pi$
$620$	2.58695e8	−	1.03074e8i	1.08546	−	0.432487i
$621$	−7.79844e7	+	2.16523e7i	−0.325636	+	0.0904125i
$622$	6.22531e6	−	1.84761e7i	0.0258696	−	0.0767783i
$623$	−2.69914e8	−	4.42501e7i	−1.11625	−	0.183000i
$624$	9.42169e7	−	1.54461e7i	0.387771	−	0.0635718i
$625$	−5.35935e8	+	1.80578e8i	−2.19519	+	0.739646i
$626$	−1.50709e8	−	2.22279e8i	−0.614350	−	0.906098i
$627$	−7.34737e6	+	1.58811e7i	−0.0298078	+	0.0644284i
$628$	6.02020e6	−	7.91944e6i	0.0243070	−	0.0319754i
$629$	4.15129e6	+	3.81705e7i	0.0166813	+	0.153382i
$630$	3.89909e8	+	1.08258e8i	1.55934	+	0.432949i
$631$	4.30097e7	−	6.34345e7i	0.171190	−	0.252486i	−0.732410	−	0.680864i	$-0.761604\pi$
$631$	4.30097e7	−	6.34345e7i	0.171190	−	0.252486i	0.903600	+	0.428378i	$0.140915\pi$
$632$	2.91008e7	+	4.83660e7i	0.115280	+	0.191597i
$633$	−1.00371e8	+	5.44195e6i	−0.395728	+	0.0214557i
$634$	−1.77839e8	−	1.87742e8i	−0.697846	−	0.736707i
$635$	4.69575e8	−	3.56961e8i	1.83393	−	1.39412i
$636$	−2.62448e7	+	5.77691e6i	−0.102017	+	0.0224556i
$637$	1.50276e8	−	1.27646e8i	0.581395	−	0.493841i
$638$	−1.18771e7	+	2.19060e8i	−0.0457350	+	0.843532i
$639$	1.14928e8	+	2.16778e8i	0.440478	+	0.830829i
$640$	9.30664e7	−	4.22805e8i	0.355020	−	1.61287i
$641$	4.66628e7	−	2.15885e7i	0.177173	−	0.0819688i	−0.329298	−	0.944226i	$-0.606812\pi$
$641$	4.66628e7	−	2.15885e7i	0.177173	−	0.0819688i	0.506470	+	0.862257i	$0.330950\pi$
$642$	1.02111e7	−	1.69709e7i	0.0385892	−	0.0641357i
$643$	1.08227e8	−	2.04138e8i	0.407103	−	0.767877i	−0.592178	−	0.805807i	$-0.701732\pi$
$643$	1.08227e8	−	2.04138e8i	0.407103	−	0.767877i	0.999280	+	0.0379301i	$0.0120764\pi$
$644$	7.79882e7	+	6.62438e7i	0.291992	+	0.248021i
$645$	7.90414e6	−	8.34430e6i	0.0294561	−	0.0310964i
$646$	3.55631e6	−	3.26997e7i	0.0131917	−	0.121296i
$647$	6.20488e7	−	1.55731e8i	0.229097	−	0.574991i	−0.768822	−	0.639463i	$-0.779157\pi$
$647$	6.20488e7	−	1.55731e8i	0.229097	−	0.574991i	0.997920	+	0.0644715i	$0.0205362\pi$
$648$			1.15826e8i			0.425679i
$649$	4.04649e8	−	2.59048e8i	1.48028	−	0.947644i
$650$	−1.32147e9			−4.81190
$651$	3.79379e7	+	1.51158e7i	0.137509	+	0.0547885i
$652$	−4.61085e7	−	5.01460e6i	−0.166356	−	0.0180923i
$653$	3.86347e8	+	3.65968e8i	1.38752	+	1.31433i	0.896409	+	0.443229i	$0.146167\pi$
$653$	3.86347e8	+	3.65968e8i	1.38752	+	1.31433i	0.491109	+	0.871098i	$0.336592\pi$
$654$	7.34672e7	−	8.64923e7i	0.262640	−	0.309203i
$655$	4.96938e8	+	2.63460e8i	1.76839	+	0.937542i
$656$	−2.99414e8	−	1.80152e8i	−1.06062	−	0.638156i
$657$	−8.58042e7	−	1.85463e8i	−0.302561	−	0.653974i
$658$	3.54193e8	+	7.79637e7i	1.24326	+	0.273662i
$659$	1.50085e8	−	7.95702e7i	0.524423	−	0.278032i	−0.185093	−	0.982721i	$-0.559259\pi$
$659$	1.50085e8	−	7.95702e7i	0.524423	−	0.278032i	0.709516	+	0.704690i	$0.248914\pi$
$660$	1.15748e8	+	6.27566e6i	0.402606	+	0.0218287i
$661$	1.24435e8	+	1.46497e8i	0.430863	+	0.507251i	0.934156	−	0.356864i	$-0.116154\pi$
$661$	1.24435e8	+	1.46497e8i	0.430863	+	0.507251i	−0.503293	+	0.864116i	$0.667878\pi$
$662$	−1.16359e8	−	5.28623e8i	−0.401074	−	1.82210i
$663$	2.67490e7	+	3.51877e7i	0.0917839	+	0.120740i
$664$	3.67818e7	−	3.48416e7i	0.125640	−	0.119013i
$665$	4.23995e6	+	7.82013e7i	0.0144177	+	0.265919i
$666$	−1.00030e8	+	6.01859e7i	−0.338615	+	0.203738i
$667$	−7.95968e7	−	5.39680e7i	−0.268237	−	0.181869i
$668$	−7.10316e7	+	2.55833e8i	−0.238299	+	0.858275i
$669$	3.00436e7	−	3.26743e6i	0.100340	−	0.0109126i
$670$	3.16102e8	+	2.40295e8i	1.05100	+	0.798951i
$671$	−5.30677e8	−	2.45517e8i	−1.75656	−	0.812671i
$672$	−3.95680e7	+	2.68277e7i	−0.130387	+	0.0884049i
$673$	−5.46342e7	−	1.62149e8i	−0.179234	−	0.531946i	0.819946	−	0.572441i	$-0.194003\pi$
$673$	−5.46342e7	−	1.62149e8i	−0.179234	−	0.531946i	−0.999180	+	0.0404943i	$0.987107\pi$
$674$	−2.20432e7	−	1.34458e8i	−0.0719938	−	0.439143i
$675$	−4.67955e7	+	2.85440e8i	−0.152157	+	0.928119i
$676$	−2.73252e8	−	9.20692e7i	−0.884550	−	0.298040i
$677$	1.26383e8	+	4.55190e8i	0.407307	+	1.46699i	0.828486	+	0.560010i	$0.189203\pi$
$677$	1.26383e8	+	4.55190e8i	0.407307	+	1.46699i	−0.421179	+	0.906977i	$0.638384\pi$
$678$	−1.73077e6	−	4.34392e6i	−0.00555330	−	0.0139377i
$679$	3.92617e8	−	1.56433e8i	1.25418	−	0.499711i
$680$	1.28579e8	−	3.56999e7i	0.408926	−	0.113538i
$681$	−2.47417e7	+	7.34308e7i	−0.0783409	+	0.232508i
$682$	−7.16780e8	−	1.17510e8i	−2.25961	−	0.370444i
$683$	−1.19474e8	+	1.95868e7i	−0.374983	+	0.0614754i	−0.346327	−	0.938114i	$-0.612571\pi$
$683$	−1.19474e8	+	1.95868e7i	−0.374983	+	0.0614754i	−0.0286564	+	0.999589i	$0.509123\pi$
$684$	3.62781e7	−	1.22235e7i	0.113364	−	0.0381969i
$685$	3.02840e8	+	4.46655e8i	0.942196	+	1.38964i
$686$	−1.84038e8	+	3.97791e8i	−0.570078	+	1.23220i
$687$	4.11793e7	−	5.41704e7i	0.127001	−	0.167067i
$688$	−5.03777e6	−	4.63215e7i	−0.0154694	−	0.142239i
$689$	−4.18118e8	−	1.16090e8i	−1.27833	−	0.354925i
$690$	−7.44951e7	+	1.09872e8i	−0.226767	+	0.334457i
$691$	−6.04738e7	−	1.00508e8i	−0.183288	−	0.304627i	0.751567	−	0.659657i	$-0.229298\pi$
$691$	−6.04738e7	−	1.00508e8i	−0.183288	−	0.304627i	−0.934855	+	0.355030i	$0.884471\pi$
$692$	3.60933e8	−	1.95692e7i	1.08920	−	0.0590547i
$693$	−2.77847e8	−	2.93320e8i	−0.834846	−	0.881336i
$694$	−5.21273e8	+	3.96262e8i	−1.55951	+	1.18551i
$695$	6.57017e7	−	1.44620e7i	0.195714	−	0.0430800i
$696$	9.42584e6	−	8.00638e6i	0.0279571	−	0.0237470i
$697$	8.75815e6	−	1.61535e8i	0.0258651	−	0.477054i
$698$	8.73864e7	+	1.64828e8i	0.256967	+	0.484692i
$699$	−1.58123e6	+	7.18359e6i	−0.00462980	+	0.0210334i
$700$	3.31898e8	−	1.53552e8i	0.967633	−	0.447675i
$701$	−2.04076e8	+	3.39178e8i	−0.592432	+	0.984630i	0.405090	+	0.914277i	$0.367240\pi$
$701$	−2.04076e8	+	3.39178e8i	−0.592432	+	0.984630i	−0.997522	+	0.0703534i	$0.977587\pi$
$702$	−1.28547e8	+	2.42466e8i	−0.371580	+	0.700874i
$703$	−1.72199e7	−	1.46267e7i	−0.0495639	−	0.0420999i
$704$	6.36435e7	−	6.71876e7i	0.182405	−	0.192562i
$705$	−1.94720e7	+	1.79042e8i	−0.0555705	+	0.510962i
$706$	2.41465e7	−	6.06031e7i	0.0686183	−	0.172219i
$707$			2.79901e8i			0.792037i
$708$	4.29271e7	+	1.06434e7i	0.120957	+	0.0299904i
$709$	−5.18262e8			−1.45416			−0.727078	−	0.686555i	$-0.759122\pi$
$709$	−5.18262e8			−1.45416			−0.727078	+	0.686555i	$0.759122\pi$
$710$	7.63422e8	+	3.04175e8i	2.13300	+	0.849863i
$711$	−1.58593e8	−	1.72480e7i	−0.441241	−	0.0479878i
$712$	−1.99098e8	−	1.88596e8i	−0.551604	−	0.522507i
$713$	2.06128e8	−	2.42672e8i	0.568680	−	0.669501i
$714$	−2.82324e7	−	1.49678e7i	−0.0775626	−	0.0411211i
$715$	1.60386e9	+	9.65010e8i	4.38781	+	2.64006i
$716$	−7.24245e7	−	1.56543e8i	−0.197309	−	0.426476i
$717$	−8.87286e7	−	1.95306e7i	−0.240717	−	0.0529857i
$718$	−3.07561e7	+	1.63059e7i	−0.0830918	+	0.0440525i
$719$	3.28781e8	+	1.78260e7i	0.884547	+	0.0479587i	0.490812	−	0.871265i	$-0.336700\pi$
$719$	3.28781e8	+	1.78260e7i	0.884547	+	0.0479587i	0.393735	+	0.919224i	$0.371183\pi$
$720$	5.27385e8	+	6.20886e8i	1.41296	+	1.66347i
$721$	−5.14213e7	−	2.33609e8i	−0.137195	−	0.623282i
$722$	−2.78204e8	−	3.65971e8i	−0.739183	−	0.972379i
$723$	−1.24311e7	+	1.17753e7i	−0.0328923	+	0.0311572i
$724$	−2.90629e6	−	5.36033e7i	−0.00765813	−	0.141246i
$725$	−2.94495e8	+	1.77192e8i	−0.772793	+	0.464974i
$726$	−1.69245e8	−	1.14751e8i	−0.442290	−	0.299880i
$727$	1.02660e8	−	3.69749e8i	0.267177	−	0.962285i	−0.701235	−	0.712930i	$-0.747368\pi$
$727$	1.02660e8	−	3.69749e8i	0.267177	−	0.962285i	0.968412	−	0.249355i	$-0.0802186\pi$
$728$	−2.11242e8	+	2.29740e7i	−0.547503	+	0.0595445i
$729$	−2.36198e8	−	1.79553e8i	−0.609669	−	0.463459i
$730$	−6.21177e8	−	2.87387e8i	−1.59679	−	0.738751i
$731$	1.78543e7	−	1.21055e7i	0.0457078	−	0.0309907i
$732$	−1.71860e7	−	5.10061e7i	−0.0438168	−	0.130044i
$733$	−2.58514e6	−	1.57687e7i	−0.00656406	−	0.0400390i	0.983341	−	0.181768i	$-0.0581820\pi$
$733$	−2.58514e6	−	1.57687e7i	−0.00656406	−	0.0400390i	−0.989905	+	0.141729i	$0.954734\pi$
$734$	1.47267e8	−	8.98292e8i	0.372408	−	2.27159i
$735$	−6.70804e7	−	2.26020e7i	−0.168940	−	0.0569226i
$736$	9.97128e7	+	3.59133e8i	0.250102	+	0.900786i
$737$	−1.46739e8	−	3.68288e8i	−0.366559	−	0.919994i
$738$	4.56928e8	−	1.82057e8i	1.13679	−	0.452937i
$739$	2.71850e8	−	7.54788e7i	0.673591	−	0.187022i	0.0861421	−	0.996283i	$-0.472546\pi$
$739$	2.71850e8	−	7.54788e7i	0.673591	−	0.187022i	0.587449	+	0.809261i	$0.300132\pi$
$740$	−4.77901e7	+	1.41836e8i	−0.117935	+	0.350018i
$741$	−2.56667e7	−	4.20785e6i	−0.0630835	−	0.0103420i
$742$	3.09580e8	−	5.07531e7i	0.757813	−	0.124237i
$743$	−2.80039e8	+	9.43562e7i	−0.682735	+	0.230040i	−0.639233	−	0.769013i	$-0.720748\pi$
$743$	−2.80039e8	+	9.43562e7i	−0.682735	+	0.230040i	−0.0435021	+	0.999053i	$0.513852\pi$
$744$	2.29787e7	+	3.38910e7i	0.0557964	+	0.0822935i
$745$	1.41738e8	−	3.06362e8i	0.342782	−	0.740911i
$746$	−5.50307e8	+	7.23917e8i	−1.32553	+	1.74370i
$747$	1.54813e7	+	1.42348e8i	0.0371403	+	0.341500i
$748$	2.09625e8	+	5.82021e7i	0.500886	+	0.139070i
$749$	−4.96681e7	+	7.32550e7i	−0.118204	+	0.174338i
$750$	1.42186e8	+	2.36314e8i	0.337033	+	0.560153i
$751$	−4.78560e8	+	2.59468e7i	−1.12984	+	0.0612581i	−0.609562	−	0.792739i	$-0.708655\pi$
$751$	−4.78560e8	+	2.59468e7i	−1.12984	+	0.0612581i	−0.520278	+	0.853997i	$0.674172\pi$
$752$	5.02098e8	+	5.30058e8i	1.18069	+	1.24644i
$753$	7.57049e7	−	5.75494e7i	0.177312	−	0.134789i
$754$	−3.18463e8	+	7.00991e7i	−0.742926	+	0.163530i
$755$	−2.04271e8	+	1.73510e8i	−0.474642	+	0.403165i
$756$	4.11162e6	−	7.58345e7i	0.00951586	−	0.175510i
$757$	−2.65975e8	−	5.01681e8i	−0.613130	−	1.15649i	−0.974569	−	0.224090i	$-0.928059\pi$
$757$	−2.65975e8	−	5.01681e8i	−0.613130	−	1.15649i	0.361439	−	0.932396i	$-0.382286\pi$
$758$	6.45763e7	−	2.93373e8i	0.148274	−	0.673616i
$759$	1.20288e8	−	5.56511e7i	0.275104	−	0.127276i
$760$	−4.04832e7	+	6.72835e7i	−0.0922218	+	0.153274i
$761$	−2.29926e8	+	4.33686e8i	−0.521716	+	0.984061i	0.472967	+	0.881080i	$0.343183\pi$
$761$	−2.29926e8	+	4.33686e8i	−0.521716	+	0.984061i	−0.994683	+	0.102981i	$0.967162\pi$
$762$	−1.07938e8	−	9.16834e7i	−0.243955	−	0.207217i
$763$	−3.48740e8	+	3.68160e8i	−0.785106	+	0.828826i
$764$	−8.68968e6	+	7.99003e7i	−0.0194861	+	0.179171i
$765$	−1.39594e8	+	3.50355e8i	−0.311805	+	0.782571i
$766$			3.02912e8i			0.673953i
$767$	5.31920e8	+	4.76532e8i	1.17885	+	1.05610i
$768$	−1.17680e8			−0.259788
$769$	5.18949e8	+	2.06768e8i	1.14116	+	0.454679i	0.862673	−	0.505762i	$-0.168789\pi$
$769$	5.18949e8	+	2.06768e8i	1.14116	+	0.454679i	0.278484	+	0.960441i	$0.410168\pi$
$770$	−1.34528e9	−	1.46308e8i	−2.94673	−	0.320476i
$771$	5.21839e7	+	4.94313e7i	0.113861	+	0.107855i
$772$	8.99099e7	−	1.05850e8i	0.195414	−	0.230059i
$773$	−1.27058e7	−	6.73620e6i	−0.0275083	−	0.0145840i	0.454598	−	0.890697i	$-0.349783\pi$
$773$	−1.27058e7	−	6.73620e6i	−0.0275083	−	0.0145840i	−0.482106	+	0.876113i	$0.660128\pi$
$774$	5.61984e7	+	3.38134e7i	0.121199	+	0.0729233i
$775$	−4.77802e8	−	1.03275e9i	−1.02646	−	2.21866i
$776$	4.13846e8	+	9.10945e7i	0.885633	+	0.194943i
$777$	−1.93925e7	+	1.02812e7i	−0.0413400	+	0.0219171i
$778$	6.36729e8	+	3.45225e7i	1.35212	+	0.0733100i
$779$	6.16268e7	+	7.25527e7i	0.130364	+	0.153476i
$780$	3.70392e7	+	1.68271e8i	0.0780508	+	0.354588i
$781$	−4.96546e8	−	6.53195e8i	−1.04233	−	1.37116i
$782$	−1.80873e8	+	1.71332e8i	−0.378227	+	0.358276i
$783$	3.86421e6	+	7.12711e7i	0.00804961	+	0.148466i
$784$	−2.45887e8	+	1.47945e8i	−0.510254	+	0.307010i
$785$	−4.77319e7	−	3.23631e7i	−0.0986734	−	0.0669022i
$786$	3.61282e7	−	1.30122e8i	0.0744009	−	0.267968i
$787$	−7.99727e8	+	8.69755e7i	−1.64066	+	0.178432i	−0.881403	−	0.472364i	$-0.843401\pi$
$787$	−7.99727e8	+	8.69755e7i	−1.64066	+	0.178432i	−0.759252	+	0.650796i	$0.774435\pi$
$788$	−1.98386e8	−	1.50809e8i	−0.405445	−	0.308211i
$789$	−5.33429e7	−	2.46791e7i	−0.108604	−	0.0502455i
$790$	−4.42245e8	+	2.99850e8i	−0.896978	+	0.608166i
$791$	6.67192e6	+	1.98015e7i	0.0134810	+	0.0400101i
$792$	−6.55370e7	−	3.99758e8i	−0.131920	−	0.804677i
$793$	1.40608e8	−	8.57672e8i	0.281962	−	1.71989i
$794$	1.16132e9	+	3.91295e8i	2.32001	+	0.781704i
$795$	4.16772e7	+	1.50108e8i	0.0829463	+	0.298745i
$796$	−2.10145e8	−	5.27425e8i	−0.416659	−	1.04573i
$797$	−3.42358e8	+	1.36408e8i	−0.676247	+	0.269441i	−0.682873	−	0.730537i	$-0.739270\pi$
$797$	−3.42358e8	+	1.36408e8i	−0.676247	+	0.269441i	0.00662680	+	0.999978i	$0.497891\pi$
$798$	1.81181e7	−	5.03046e6i	0.0356536	−	0.00989917i
$799$	−1.07927e8	+	3.20316e8i	−0.211587	+	0.627968i
$800$	1.31451e9	+	2.15502e8i	2.56739	+	0.420903i
$801$	7.64857e8	−	1.25392e8i	1.48827	−	0.243990i
$802$	1.63806e8	−	5.51927e7i	0.317546	−	0.106994i
$803$	3.83494e8	+	5.65612e8i	0.740649	+	1.09238i
$804$	1.53229e7	−	3.31200e7i	0.0294832	−	0.0637268i
$805$	3.58983e8	−	4.72234e8i	0.688154	−	0.905252i
$806$	−1.16729e8	−	1.07331e9i	−0.222933	−	2.04984i
$807$	1.04857e8	+	2.91133e7i	0.199515	+	0.0553950i
$808$	−1.57493e8	+	2.32284e8i	−0.298556	+	0.440338i
$809$	−1.84958e8	−	3.07403e8i	−0.349324	−	0.580581i	0.631524	−	0.775357i	$-0.282430\pi$
$809$	−1.84958e8	−	3.07403e8i	−0.349324	−	0.580581i	−0.980848	+	0.194775i	$0.937602\pi$
$810$	−1.09480e9	+	5.93582e7i	−2.06006	+	0.111693i
$811$	2.60112e8	+	2.74597e8i	0.487638	+	0.514794i	0.922654	−	0.385629i	$-0.126016\pi$
$811$	2.60112e8	+	2.74597e8i	0.487638	+	0.514794i	−0.435015	+	0.900423i	$0.643257\pi$
$812$	7.18394e7	−	5.46109e7i	0.134182	−	0.102003i
$813$	−1.73065e8	+	3.80945e7i	−0.322061	+	0.0708910i
$814$	2.97540e8	−	2.52733e8i	0.551661	−	0.468585i
$815$	−1.45564e7	+	2.68478e8i	−0.0268895	+	0.495947i
$816$	−3.01325e7	−	5.68360e7i	−0.0554581	−	0.104605i
$817$	−2.72871e6	+	1.23966e7i	−0.00500370	+	0.0227320i
$818$	−2.82459e8	+	1.30679e8i	−0.516054	+	0.238752i
$819$	3.09609e8	−	5.14575e8i	0.563589	−	0.936692i
$820$	2.95382e8	−	5.57149e8i	0.535725	−	1.01048i
$821$	7.08741e8	+	6.02010e8i	1.28073	+	1.08786i	0.991432	+	0.130624i	$0.0416980\pi$
$821$	7.08741e8	+	6.02010e8i	1.28073	+	1.08786i	0.289299	+	0.957239i	$0.406578\pi$
$822$	8.91026e7	−	9.40645e7i	0.160426	−	0.169360i
$823$	−5.33633e7	+	4.90668e8i	−0.0957290	+	0.880213i	0.843548	+	0.537054i	$0.180463\pi$
$823$	−5.33633e7	+	4.90668e8i	−0.0957290	+	0.880213i	−0.939277	+	0.343160i	$0.888503\pi$
$824$	8.87723e7	−	2.22802e8i	0.158670	−	0.398233i
$825$		−	4.73674e8i		−	0.843563i
$826$	−4.93664e8	−	1.51199e8i	−0.875975	−	0.268292i
$827$	−9.66722e8			−1.70917			−0.854585	−	0.519312i	$-0.826188\pi$
$827$	−9.66722e8			−1.70917			−0.854585	+	0.519312i	$0.826188\pi$
$828$	−2.69365e8	−	1.07325e8i	−0.474516	−	0.189064i
$829$	1.08854e8	+	1.18386e7i	0.191064	+	0.0207795i	0.203151	−	0.979147i	$-0.434882\pi$
$829$	1.08854e8	+	1.18386e7i	0.191064	+	0.0207795i	−0.0120865	+	0.999927i	$0.503847\pi$
$830$	3.48175e8	+	3.29809e8i	0.608924	+	0.576804i
$831$	−1.02194e8	+	1.20312e8i	−0.178083	+	0.209656i
$832$	1.21535e8	+	6.44336e7i	0.211023	+	0.111877i
$833$	−1.13834e8	−	6.84919e7i	−0.196942	−	0.118496i
$834$	−6.78222e6	−	1.46595e7i	−0.0116916	−	0.0252710i
$835$	1.50321e9	+	3.30881e8i	2.58202	+	0.568346i
$836$	−1.13106e8	+	5.99649e7i	−0.193582	+	0.102631i
$837$	−2.35970e8	−	1.27939e7i	−0.402422	−	0.0218187i
$838$	3.06026e8	+	3.60282e8i	0.520028	+	0.612224i
$839$	−8.84721e7	−	4.01933e8i	−0.149803	−	0.680562i	−0.990323	−	0.138781i	$-0.955681\pi$
$839$	−8.84721e7	−	4.01933e8i	−0.149803	−	0.680562i	0.840520	−	0.541780i	$-0.182250\pi$
$840$	4.61655e7	+	6.07297e7i	0.0778897	+	0.102462i
$841$	3.70268e8	−	3.50736e8i	0.622483	−	0.589647i
$842$	3.51396e7	+	6.48112e8i	0.0588655	+	1.08571i
$843$	8.37763e7	−	5.04065e7i	0.139842	−	0.0841403i
$844$	−6.08678e8	−	4.12694e8i	−1.01242	−	0.686437i
$845$	−4.47192e8	+	1.61064e9i	−0.741181	+	2.66949i
$846$	−1.02168e9	+	1.11115e8i	−1.68735	+	0.183510i
$847$	7.27422e8	+	5.52972e8i	1.19712	+	0.910024i
$848$	5.73181e8	+	2.65182e8i	0.939948	+	0.434866i
$849$	−1.35414e8	+	9.18131e7i	−0.221279	+	0.150031i
$850$	2.84302e8	+	8.43780e8i	0.462939	+	1.37395i
$851$	2.76857e7	+	1.68875e8i	0.0449228	+	0.274017i
$852$	1.22190e7	−	7.45323e7i	0.0197567	−	0.120511i
$853$	−3.28674e7	−	1.10743e7i	−0.0529565	−	0.0178431i	0.292699	−	0.956205i	$-0.405447\pi$
$853$	−3.28674e7	−	1.10743e7i	−0.0529565	−	0.0178431i	−0.345655	+	0.938362i	$0.612343\pi$
$854$	1.68096e8	+	6.05428e8i	0.269889	+	0.972051i
$855$	−8.21430e7	−	2.06163e8i	−0.131423	−	0.329847i
$856$	−8.24373e7	+	3.28460e7i	−0.131432	+	0.0523674i
$857$	−6.49859e8	+	1.80432e8i	−1.03247	+	0.286663i	−0.742127	−	0.670260i	$-0.766183\pi$
$857$	−6.49859e8	+	1.80432e8i	−1.03247	+	0.286663i	−0.290342	+	0.956923i	$0.593769\pi$
$858$	1.43498e8	−	4.25886e8i	0.227187	−	0.674266i
$859$	5.35714e8	+	8.78258e7i	0.845188	+	0.138562i	0.568791	−	0.822482i	$-0.307411\pi$
$859$	5.35714e8	+	8.78258e7i	0.845188	+	0.138562i	0.276397	+	0.961044i	$0.410860\pi$
$860$	8.29797e7	−	1.36038e7i	0.130460	−	0.0213878i
$861$	8.76381e7	−	2.95287e7i	0.137304	−	0.0462631i
$862$	4.82637e7	+	7.11836e7i	0.0753526	+	0.111137i
$863$	1.18062e8	−	2.55187e8i	0.183687	−	0.397033i	−0.793755	−	0.608238i	$-0.791877\pi$
$863$	1.18062e8	−	2.55187e8i	0.183687	−	0.397033i	0.977442	+	0.211205i	$0.0677388\pi$
$864$	1.67411e8	−	2.20225e8i	0.259563	−	0.341449i
$865$	−2.26557e8	−	2.08315e9i	−0.350049	−	3.21865i
$866$	−6.63703e7	−	1.84276e7i	−0.102193	−	0.0283737i
$867$	−5.67770e7	+	8.37398e7i	−0.0871195	+	0.128492i
$868$	1.54034e8	+	2.56007e8i	0.235536	+	0.391465i
$869$	5.32693e8	−	2.88818e7i	0.811742	−	0.0440114i
$870$	8.05074e7	+	8.49906e7i	0.122258	+	0.129066i
$871$	4.69115e8	−	3.56612e8i	0.709945	−	0.539686i
$872$	−4.96567e8	+	1.09303e8i	−0.748908	+	0.164847i
$873$	−9.12781e8	+	7.75323e8i	−1.37190	+	1.16531i
$874$	7.93692e6	−	1.46388e8i	0.0118882	−	0.219266i
$875$	−5.77271e8	−	1.08885e9i	−0.861699	−	1.62534i
$876$	−1.35224e7	+	6.14330e7i	−0.0201160	+	0.0913881i
$877$	−5.34710e8	+	2.47383e8i	−0.792720	+	0.366751i	−0.774090	−	0.633075i	$-0.781792\pi$
$877$	−5.34710e8	+	2.47383e8i	−0.792720	+	0.366751i	−0.0186294	+	0.999826i	$0.505930\pi$
$878$	2.59895e8	−	4.31949e8i	0.383986	−	0.638189i
$879$	−1.01935e7	+	1.92270e7i	−0.0150092	+	0.0283104i
$880$	−2.07629e9	−	1.76362e9i	−3.04678	−	2.58796i
$881$	−1.67363e8	+	1.76683e8i	−0.244755	+	0.258385i	−0.836786	−	0.547531i	$-0.815568\pi$
$881$	−1.67363e8	+	1.76683e8i	−0.244755	+	0.258385i	0.592030	+	0.805916i	$0.298327\pi$
$882$	4.36724e7	−	4.01561e8i	0.0636505	−	0.585256i
$883$	2.42020e8	−	6.07424e8i	0.351535	−	0.882288i	−0.641783	−	0.766886i	$-0.721805\pi$
$883$	2.42020e8	−	6.07424e8i	0.351535	−	0.882288i	0.993319	−	0.115402i	$-0.0368155\pi$
$884$			3.23371e8i			0.468107i
$885$	4.81380e7	−	2.51828e8i	0.0694478	−	0.363308i
$886$	8.50581e8			1.22297
$887$	−2.25955e8	−	9.00286e7i	−0.323780	−	0.129006i	0.202584	−	0.979265i	$-0.435066\pi$
$887$	−2.25955e8	−	9.00286e7i	−0.323780	−	0.129006i	−0.526365	+	0.850259i	$0.676445\pi$
$888$	−2.18785e7	−	2.37943e6i	−0.0312448	−	0.00339808i
$889$	4.59446e8	+	4.35210e8i	0.653926	+	0.619432i
$890$	1.68059e9	−	1.97854e9i	2.38392	−	2.80656i
$891$	9.67170e8	+	5.12761e8i	1.36732	+	0.724906i
$892$	1.89447e8	+	1.13987e8i	0.266928	+	0.160605i
$893$	−8.35154e7	−	1.80515e8i	−0.117277	−	0.253490i
$894$	−7.91525e7	−	1.74228e7i	−0.110778	−	0.0243840i
$895$	−8.83436e8	+	4.68368e8i	−1.23227	+	0.653308i
$896$	4.63806e8	+	2.51468e7i	0.644781	+	0.0349590i
$897$	1.27537e8	+	1.50148e8i	0.176709	+	0.208037i
$898$	−2.54924e7	−	1.15813e8i	−0.0352032	−	0.159930i
$899$	−1.69930e8	−	2.23539e8i	−0.233879	−	0.307663i
$900$	−7.52335e8	+	7.12649e8i	−1.03201	+	0.977571i
$901$	1.58291e7	+	2.91951e8i	0.0216413	+	0.399150i
$902$	−1.40938e9	+	8.47997e8i	−1.92048	+	1.15551i
$903$	1.02066e7	+	6.92027e6i	0.0138618	+	0.00939853i
$904$	−5.60491e6	+	2.01871e7i	−0.00758688	+	0.0273255i
$905$	−3.09376e8	+	3.36467e7i	−0.417389	+	0.0453938i
$906$	5.12283e7	+	3.89427e7i	0.0688851	+	0.0523651i
$907$	4.54546e8	+	2.10295e8i	0.609194	+	0.281843i	0.700132	−	0.714013i	$-0.253124\pi$
$907$	4.54546e8	+	2.10295e8i	0.609194	+	0.281843i	−0.0909381	+	0.995857i	$0.528987\pi$
$908$	−4.69214e8	+	3.18135e8i	−0.626778	+	0.424966i
$909$	−2.53256e8	−	7.51637e8i	−0.337185	−	1.00073i
$910$	−3.25408e8	−	1.98490e9i	−0.431821	−	2.63399i
$911$	4.51327e7	−	2.75297e8i	0.0596947	−	0.364122i	−0.940039	−	0.341066i	$-0.889212\pi$
$911$	4.51327e7	−	2.75297e8i	0.0596947	−	0.364122i	0.999734	−	0.0230559i	$-0.00733957\pi$
$912$	3.58726e7	+	1.20869e7i	0.0472910	+	0.0159342i
$913$	−1.28101e8	−	4.61378e8i	−0.168322	−	0.606240i
$914$	6.14358e8	+	1.54192e9i	0.804606	+	2.01941i
$915$	−2.89860e8	+	1.15491e8i	−0.378378	+	0.150759i
$916$	4.79675e8	−	1.33181e8i	0.624109	−	0.173283i
$917$	−1.92686e8	+	5.71872e8i	−0.249886	+	0.741636i
$918$	1.82475e8	+	2.99152e7i	0.235871	+	0.0386691i
$919$	3.21735e8	−	5.27457e7i	0.414525	−	0.0679580i	0.0490892	−	0.998794i	$-0.484368\pi$
$919$	3.21735e8	−	5.27457e7i	0.414525	−	0.0679580i	0.365436	+	0.930836i	$0.380920\pi$
$920$	5.63627e8	−	1.89908e8i	0.723816	−	0.243882i
$921$	−4.34683e7	−	6.41109e7i	−0.0556408	−	0.0820641i
$922$	5.12889e8	−	1.10859e9i	0.654381	−	1.41442i
$923$	7.38061e8	−	9.70902e8i	0.938614	−	1.23473i
$924$	1.34466e7	+	1.23639e8i	0.0170449	+	0.156726i
$925$	5.89305e8	+	1.63620e8i	0.744586	+	0.206733i
$926$	3.94192e8	−	5.81390e8i	0.496449	−	0.732208i
$927$	3.49457e8	+	5.80802e8i	0.438687	+	0.729103i
$928$	3.28217e8	−	1.77954e7i	0.410693	−	0.0222671i
$929$	−4.62155e8	−	4.87892e8i	−0.576422	−	0.608522i	0.370951	−	0.928652i	$-0.379032\pi$
$929$	−4.62155e8	−	4.87892e8i	−0.576422	−	0.608522i	−0.947373	+	0.320131i	$0.896273\pi$
$930$	−3.08564e8	+	2.34564e8i	−0.383616	+	0.291617i
$931$	7.63474e7	−	1.68053e7i	0.0946118	−	0.0208256i
$932$	−4.10145e7	+	3.48380e7i	−0.0506629	+	0.0430334i
$933$	−562373.	+	1.03724e7i	−0.000692436	+	0.0127712i
$934$	3.75989e8	+	7.09190e8i	0.461460	+	0.870407i
$935$	2.71119e8	−	1.23170e9i	0.331684	−	1.50686i
$936$	5.46477e8	−	2.52827e8i	0.666414	−	0.308316i
$937$	2.52074e8	−	4.18950e8i	0.306414	−	0.509264i	−0.664941	−	0.746896i	$-0.731543\pi$
$937$	2.52074e8	−	4.18950e8i	0.306414	−	0.509264i	0.971355	+	0.237632i	$0.0763711\pi$
$938$	−1.99548e8	+	3.76388e8i	−0.241791	+	0.456066i
$939$	1.09052e8	+	9.26296e7i	0.131715	+	0.111880i
$940$	−9.06114e8	+	9.56573e8i	−1.09094	+	1.15169i
$941$	−1.30601e8	+	1.20085e9i	−0.156739	+	1.44119i	0.606505	+	0.795079i	$0.292571\pi$
$941$	−1.30601e8	+	1.20085e9i	−0.156739	+	1.44119i	−0.763244	+	0.646110i	$0.776395\pi$
$942$	−5.12498e6	+	1.28627e7i	−0.00613111	+	0.0153879i
$943$		−	7.21021e8i		−	0.859830i
$944$	−6.51757e8	−	8.09655e8i	−0.774765	−	0.962464i
$945$	−4.40266e8			−0.521699
$946$	−2.03750e8	−	8.11813e7i	−0.240671	−	0.0958921i
$947$	9.34765e8	+	1.01662e8i	1.10066	+	0.119704i	0.640371	−	0.768066i	$-0.278781\pi$
$947$	9.34765e8	+	1.01662e8i	1.10066	+	0.119704i	0.460288	+	0.887770i	$0.347746\pi$
$948$	3.56511e7	+	3.37706e7i	0.0418455	+	0.0396381i
$949$	−6.57578e8	+	7.74161e8i	−0.769394	+	0.905800i
$950$	−4.62909e8	−	2.45419e8i	−0.539914	−	0.286244i
$951$	1.18057e8	+	7.10326e7i	0.137262	+	0.0825878i
$952$	6.01162e7	+	1.29939e8i	0.0696756	+	0.150601i
$953$	−4.10586e8	−	9.03768e7i	−0.474379	−	0.104419i	−0.0286555	−	0.999589i	$-0.509123\pi$
$953$	−4.10586e8	−	9.03768e7i	−0.474379	−	0.104419i	−0.445724	+	0.895171i	$0.647054\pi$
$954$	−7.85417e8	+	4.16402e8i	−0.904597	+	0.479587i
$955$	4.65239e8	+	2.52245e7i	0.534153	+	0.0289609i
$956$	−4.30305e8	−	5.06594e8i	−0.492496	−	0.579811i
$957$	−2.51267e7	−	1.14152e8i	−0.0286681	−	0.130241i
$958$	4.75059e8	+	6.24930e8i	0.540321	+	0.710779i
$959$	−4.20338e8	+	3.98165e8i	−0.476588	+	0.451448i
$960$	−2.67363e6	−	4.93122e7i	−0.00302195	−	0.0557366i
$961$	3.61404e7	−	2.17449e7i	0.0407214	−	0.0245012i
$962$	4.80284e8	+	3.25640e8i	0.539476	+	0.365774i
$963$	6.70957e7	−	2.41657e8i	0.0751304	−	0.270595i
$964$	−1.24536e8	+	1.35442e7i	−0.139016	+	0.0151189i
$965$	−6.40942e8	−	4.87232e8i	−0.713242	−	0.542193i
$966$	−1.29259e8	−	5.98018e7i	−0.143394	−	0.0663411i
$967$	−5.42251e8	+	3.67656e8i	−0.599682	+	0.406595i	−0.822910	−	0.568172i	$-0.807651\pi$
$967$	−5.42251e8	+	3.67656e8i	−0.599682	+	0.406595i	0.223228	+	0.974766i	$0.428341\pi$
$968$	2.92531e8	+	8.68202e8i	0.322512	+	0.957183i
$969$	2.83519e6	+	1.72939e7i	0.00311610	+	0.0190074i
$970$	−6.48945e8	+	3.95839e9i	−0.711038	+	4.33714i
$971$	9.61287e7	+	3.23895e7i	0.105001	+	0.0353791i	0.371312	−	0.928508i	$-0.378908\pi$
$971$	9.61287e7	+	3.23895e7i	0.105001	+	0.0353791i	−0.266310	+	0.963887i	$0.585805\pi$
$972$	8.69546e7	+	3.13182e8i	0.0946877	+	0.341034i
$973$	2.67162e7	+	6.70525e7i	0.0290025	+	0.0727908i
$974$	−9.87257e8	+	3.93359e8i	−1.06845	+	0.425708i
$975$	6.78401e8	−	1.88357e8i	0.731935	−	0.203221i
$976$	−4.03892e8	+	1.19871e9i	−0.434426	+	1.28933i
$977$	3.08389e8	+	5.05578e7i	0.330686	+	0.0542132i	0.324838	−	0.945770i	$-0.394690\pi$
$977$	3.08389e8	+	5.05578e7i	0.330686	+	0.0542132i	0.00584792	+	0.999983i	$0.498139\pi$
$978$	6.37049e7	−	1.04439e7i	0.0681015	−	0.0111647i
$979$	−2.45621e9	+	8.27594e8i	−2.61769	+	0.882002i
$980$	−2.90622e8	−	4.28635e8i	−0.308781	−	0.455418i
$981$	6.03383e8	−	1.30419e9i	0.639125	−	1.38145i
$982$	2.63585e8	−	3.46741e8i	0.278347	−	0.366160i
$983$	1.41891e8	+	1.30467e9i	0.149381	+	1.37353i	0.793482	+	0.608593i	$0.208266\pi$
$983$	1.41891e8	+	1.30467e9i	0.149381	+	1.37353i	−0.644102	+	0.764940i	$0.722769\pi$
$984$	8.93442e7	+	2.48063e7i	0.0937737	+	0.0260361i
$985$	−8.10711e8	+	1.19571e9i	−0.848315	+	1.25117i
$986$	1.13274e8	+	1.88263e8i	0.118168	+	0.196397i
$987$	−1.92944e8	+	1.04611e7i	−0.200669	+	0.0108799i
$988$	−1.30859e8	−	1.38146e8i	−0.135685	−	0.143241i
$989$	7.65392e7	−	5.81836e7i	0.0791216	−	0.0601466i
$990$	3.74495e9	−	8.24327e8i	3.85959	−	0.849559i
$991$	1.22225e9	−	1.03819e9i	1.25585	−	1.06673i	0.261007	−	0.965337i	$-0.415945\pi$
$991$	1.22225e9	−	1.03819e9i	1.25585	−	1.06673i	0.994846	−	0.101395i	$-0.0323306\pi$
$992$	−5.89185e7	+	1.08669e9i	−0.0603555	+	1.11319i
$993$	1.35083e8	+	2.54793e8i	0.137960	+	0.260219i
$994$	−1.89539e8	+	8.61084e8i	−0.192992	+	0.876771i
$995$	−2.98710e9	+	1.38198e9i	−3.03236	+	1.40292i
$996$	2.27238e7	−	3.77673e7i	0.0229987	−	0.0382241i
$997$	1.21298e8	−	2.28791e8i	0.122396	−	0.230863i	−0.814741	−	0.579825i	$-0.803121\pi$
$997$	1.21298e8	−	2.28791e8i	0.122396	−	0.230863i	0.937137	+	0.348962i	$0.113466\pi$
$998$	7.26207e8	+	6.16845e8i	0.730581	+	0.620561i
$999$	8.73467e7	−	9.22108e7i	0.0876093	−	0.0924880i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	59.7.d.a.10.7	yes	812
59.6	odd	58	inner	59.7.d.a.6.7	✓	812

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
59.7.d.a.6.7	✓	812	59.6	odd	58	inner
59.7.d.a.10.7	yes	812	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:	\( N \)	\(=\)	\( 59 \)
Weight:	\( k \)	\(=\)	\( 7 \)
Character orbit:	\([\chi]\)	\(=\)	59.d (of order \(58\), degree \(28\), minimal)

\(f(q)\)	\(=\)	\(q+(-9.45970 - 3.76909i) q^{2} +(5.39355 + 0.586583i) q^{3} +(28.8162 + 27.2961i) q^{4} +(148.963 - 175.372i) q^{5} +(-48.8104 - 25.8777i) q^{6} +(211.535 + 127.276i) q^{7} +(103.934 + 224.649i) q^{8} +(-683.210 - 150.386i) q^{9} +(-2070.14 + 1097.52i) q^{10} +(2335.97 + 126.653i) q^{11} +(139.410 + 164.126i) q^{12} +(747.510 + 3395.97i) q^{13} +(-1521.34 - 2001.29i) q^{14} +(906.308 - 858.500i) q^{15} +(-273.988 - 5053.41i) q^{16} +(2007.56 - 1207.91i) q^{17} +(5896.15 + 3997.69i) q^{18} +(-368.836 + 1328.43i) q^{19} +(9079.53 - 987.458i) q^{20} +(1066.26 + 810.553i) q^{21} +(-21620.3 - 10002.6i) q^{22} +(8643.17 - 5860.21i) q^{23} +(428.796 + 1272.62i) q^{24} +(-6037.77 - 36828.7i) q^{25} +(5728.50 - 34942.3i) q^{26} +(-7344.76 - 2474.74i) q^{27} +(2621.48 + 9441.70i) q^{28} +(-3408.68 - 8555.15i) q^{29} +(-11809.2 + 4705.20i) q^{30} +(29379.3 - 8157.12i) q^{31} +(-11396.6 + 33824.0i) q^{32} +(12524.9 + 2053.35i) q^{33} +(-23543.7 + 3859.79i) q^{34} +(53831.6 - 18138.0i) q^{35} +(-15582.6 - 22982.6i) q^{36} +(-6881.05 + 14873.1i) q^{37} +(8496.05 - 11176.4i) q^{38} +(2039.71 + 18754.8i) q^{39} +(54879.6 + 15237.2i) q^{40} +(38748.0 - 57149.1i) q^{41} +(-7031.50 - 11686.4i) q^{42} +(9193.41 - 498.452i) q^{43} +(63856.7 + 67412.8i) q^{44} +(-128146. + 97414.3i) q^{45} +(-103849. + 22859.0i) q^{46} +(-109955. + 93396.6i) q^{47} +(1486.48 - 27416.5i) q^{48} +(-26560.1 - 50097.6i) q^{49} +(-81695.4 + 371146. i) q^{50} +(11536.4 - 5337.32i) q^{51} +(-71156.5 + 118263. i) q^{52} +(-58453.6 + 110255. i) q^{53} +(60151.7 + 51093.3i) q^{54} +(370184. - 390799. i) q^{55} +(-6606.90 + 60749.5i) q^{56} +(-2768.57 + 6948.59i) q^{57} +93776.8i q^{58} +(166722. - 119934. i) q^{59} +49550.1 q^{60} +(-232192. - 92513.7i) q^{61} +(-308664. - 33569.3i) q^{62} +(-125382. - 118768. i) q^{63} +(25610.2 - 30150.7i) q^{64} +(706911. + 374780. i) q^{65} +(-110742. - 66631.5i) q^{66} +(-71156.1 - 153801. i) q^{67} +(90821.7 + 19991.4i) q^{68} +(50054.8 - 26537.4i) q^{69} +(-577594. - 31316.2i) q^{70} +(-227058. - 267313. i) q^{71} +(-37224.6 - 169113. i) q^{72} +(176777. + 232546. i) q^{73} +(121151. - 114760. i) q^{74} +(-10961.8 - 202179. i) q^{75} +(-46889.4 + 28212.4i) q^{76} +(478020. + 324106. i) q^{77} +(51393.5 - 185103. i) q^{78} +(226702. - 24655.4i) q^{79} +(-927043. - 704720. i) q^{80} +(424686. + 196481. i) q^{81} +(-581945. + 394568. i) q^{82} +(-65354.9 - 193966. i) q^{83} +(8600.70 + 52462.0i) q^{84} +(87217.8 - 532005. i) q^{85} +(-88845.7 - 29935.6i) q^{86} +(-13366.6 - 48142.1i) q^{87} +(214334. + 537939. i) q^{88} +(-1.02924e6 + 410086. i) q^{89} +(1.57939e6 - 438515. i) q^{90} +(-274102. + 813506. i) q^{91} +(409024. + 67056.1i) q^{92} +(163243. - 26762.4i) q^{93} +(1.39216e6 - 469074. i) q^{94} +(178027. + 262570. i) q^{95} +(-81308.8 + 175746. i) q^{96} +(1.03603e6 - 1.36287e6i) q^{97} +(62427.9 + 574015. i) q^{98} +(-1.57691e6 - 437828. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 812 q - 29 q^{2} - 39 q^{3} + 869 q^{4} - 171 q^{5} - 29 q^{6} - 435 q^{7} - 29 q^{8} - 7648 q^{9} - 29 q^{10} - 29 q^{11} + 1095 q^{12} - 29 q^{13} - 29 q^{14} - 569 q^{15} - 25051 q^{16} - 9071 q^{17}+ \cdots + 9513421 q^{99}+O(q^{100}) \) 812 * q - 29 * q^2 - 39 * q^3 + 869 * q^4 - 171 * q^5 - 29 * q^6 - 435 * q^7 - 29 * q^8 - 7648 * q^9 - 29 * q^10 - 29 * q^11 + 1095 * q^12 - 29 * q^13 - 29 * q^14 - 569 * q^15 - 25051 * q^16 - 9071 * q^17 - 29 * q^18 - 3879 * q^19 + 46867 * q^20 - 3729 * q^21 - 11267 * q^22 - 29 * q^23 - 29 * q^24 - 65696 * q^25 + 64561 * q^26 - 36009 * q^27 + 45513 * q^28 + 31701 * q^29 - 29 * q^30 - 29 * q^31 - 29 * q^32 - 29 * q^33 - 29 * q^34 - 46305 * q^35 + 185269 * q^36 - 29 * q^37 - 29 * q^38 - 29 * q^39 - 29 * q^40 - 91943 * q^41 - 29 * q^42 - 29 * q^43 - 29 * q^44 + 1328609 * q^45 + 122071 * q^46 - 472149 * q^47 - 4460721 * q^48 - 992540 * q^49 - 1117341 * q^50 - 161065 * q^51 + 1336291 * q^52 + 1079813 * q^53 + 4504947 * q^54 + 1872907 * q^55 + 3956963 * q^56 + 2677007 * q^57 - 302138 * q^59 - 4965482 * q^60 - 1574381 * q^61 - 2444409 * q^62 - 5085047 * q^63 - 5066455 * q^64 - 1422653 * q^65 + 433939 * q^66 + 876931 * q^67 + 3018437 * q^68 + 5706243 * q^69 + 6798499 * q^70 + 3537645 * q^71 + 6041251 * q^72 - 396749 * q^73 - 3448403 * q^74 - 9552475 * q^75 - 247173 * q^76 - 29 * q^77 + 375035 * q^78 - 4731 * q^79 - 1921013 * q^80 + 841594 * q^81 - 29 * q^82 - 29 * q^83 - 2367333 * q^84 - 864073 * q^85 - 5031139 * q^86 + 4790463 * q^87 - 726023 * q^88 - 29 * q^89 - 29 * q^90 - 29 * q^91 - 29 * q^92 - 29 * q^93 - 2835797 * q^94 - 1047881 * q^95 - 29 * q^96 - 29 * q^97 + 29127484 * q^98 + 9513421 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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