LMFDB - Embedded newform 59.7.d.a.10.24

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			10.24
Character	$\chi$	$=$	59.10
Dual form			59.7.d.a.6.24

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(10.5943 + 4.22114i) q^{2} +(-28.7314 - 3.12473i) q^{3} +(47.9565 + 45.4268i) q^{4} +(-38.9642 + 45.8722i) q^{5} +(-291.198 - 154.383i) q^{6} +(199.703 + 120.157i) q^{7} +(9.84607 + 21.2819i) q^{8} +(103.774 + 22.8424i) q^{9} +(-606.429 + 321.508i) q^{10} +(-2296.40 - 124.507i) q^{11} +(-1235.91 - 1455.03i) q^{12} +(-673.084 - 3057.85i) q^{13} +(1608.51 + 2115.95i) q^{14} +(1262.83 - 1196.22i) q^{15} +(-214.400 - 3954.37i) q^{16} +(-7008.52 + 4216.89i) q^{17} +(1002.99 + 680.041i) q^{18} +(480.538 - 1730.74i) q^{19} +(-3952.41 + 429.851i) q^{20} +(-5362.29 - 4076.31i) q^{21} +(-23803.1 - 11012.5i) q^{22} +(-310.190 + 210.314i) q^{23} +(-216.391 - 642.226i) q^{24} +(1941.79 + 11844.4i) q^{25} +(5776.79 - 35236.8i) q^{26} +(17055.6 + 5746.71i) q^{27} +(4118.70 + 14834.2i) q^{28} +(15350.4 + 38526.7i) q^{29} +(18428.2 - 7342.46i) q^{30} +(6389.90 - 1774.15i) q^{31} +(14899.7 - 44220.8i) q^{32} +(65589.8 + 10752.9i) q^{33} +(-92050.1 + 15090.9i) q^{34} +(-13293.1 + 4478.98i) q^{35} +(3938.98 + 5809.55i) q^{36} +(27989.3 - 60497.8i) q^{37} +(12396.6 - 16307.5i) q^{38} +(9783.70 + 89959.6i) q^{39} +(-1359.89 - 377.572i) q^{40} +(-20488.6 + 30218.4i) q^{41} +(-39602.8 - 65820.4i) q^{42} +(-136366. + 7393.55i) q^{43} +(-104471. - 110289. i) q^{44} +(-5091.29 + 3870.30i) q^{45} +(-4173.99 + 918.765i) q^{46} +(-102528. + 87088.1i) q^{47} +(-6196.33 + 114285. i) q^{48} +(-29664.2 - 55952.7i) q^{49} +(-29425.1 + 133679. i) q^{50} +(214541. - 99257.4i) q^{51} +(106630. - 177220. i) q^{52} +(43037.4 - 81177.2i) q^{53} +(156434. + 132876. i) q^{54} +(95188.8 - 100490. i) q^{55} +(-590.890 + 5433.15i) q^{56} +(-19214.7 + 48225.1i) q^{57} +472958. i q^{58} +(165340. + 121833. i) q^{59} +114902. q^{60} +(-94618.6 - 37699.5i) q^{61} +(75185.1 + 8176.88i) q^{62} +(17979.3 + 17030.9i) q^{63} +(180432. - 212421. i) q^{64} +(166497. + 88270.9i) q^{65} +(649485. + 390782. i) q^{66} +(16577.3 + 35831.3i) q^{67} +(-527664. - 116148. i) q^{68} +(9569.36 - 5073.36i) q^{69} +(-159737. - 8660.71i) q^{70} +(-180099. - 212029. i) q^{71} +(535.635 + 2433.42i) q^{72} +(195764. + 257523. i) q^{73} +(551895. - 522783. i) q^{74} +(-18779.9 - 346375. i) q^{75} +(101667. - 61171.1i) q^{76} +(-443638. - 300794. i) q^{77} +(-276081. + 994354. i) q^{78} +(485.926 - 52.8476i) q^{79} +(189749. + 144244. i) q^{80} +(-542378. - 250931. i) q^{81} +(-344617. + 233656. i) q^{82} +(175853. + 521914. i) q^{83} +(-71983.1 - 439077. i) q^{84} +(79643.5 - 485804. i) q^{85} +(-1.47591e6 - 497290. i) q^{86} +(-320654. - 1.15489e6i) q^{87} +(-19960.8 - 50097.7i) q^{88} +(-211510. + 84273.1i) q^{89} +(-70275.5 + 19511.9i) q^{90} +(233007. - 691539. i) q^{91} +(-24429.5 - 4005.01i) q^{92} +(-189135. + 31007.0i) q^{93} +(-1.45382e6 + 489849. i) q^{94} +(60669.2 + 89480.3i) q^{95} +(-566268. + 1.22397e6i) q^{96} +(-25350.6 + 33348.1i) q^{97} +(-78086.5 - 717994. i) q^{98} +(-235462. - 65375.8i) 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 $

$2$	10.5943	+	4.22114i	1.32428	+	0.527642i	0.921757	−	0.387767i	$-0.126754\pi$
$2$	10.5943	+	4.22114i	1.32428	+	0.527642i	0.402524	+	0.915409i	$0.368133\pi$
$3$	−28.7314	−	3.12473i	−1.06413	−	0.115731i	−0.440732	−	0.897639i	$-0.645281\pi$
$3$	−28.7314	−	3.12473i	−1.06413	−	0.115731i	−0.623394	+	0.781908i	$0.714247\pi$
$4$	47.9565	+	45.4268i	0.749320	+	0.709794i
$5$	−38.9642	+	45.8722i	−0.311713	+	0.366977i	−0.895602	−	0.444857i	$-0.853255\pi$
$5$	−38.9642	+	45.8722i	−0.311713	+	0.366977i	0.583888	+	0.811834i	$0.301531\pi$
$6$	−291.198	−	154.383i	−1.34814	−	0.714738i
$7$	199.703	+	120.157i	0.582225	+	0.350313i	0.776000	−	0.630733i	$-0.217246\pi$
$7$	199.703	+	120.157i	0.582225	+	0.350313i	−0.193775	+	0.981046i	$0.562073\pi$
$8$	9.84607	+	21.2819i	0.0192306	+	0.0415663i
$9$	103.774	+	22.8424i	0.142351	+	0.0313338i
$10$	−606.429	+	321.508i	−0.606429	+	0.321508i
$11$	−2296.40	−	124.507i	−1.72532	−	0.0935441i	−0.835395	−	0.549651i	$-0.814761\pi$
$11$	−2296.40	−	124.507i	−1.72532	−	0.0935441i	−0.889925	+	0.456107i	$0.849244\pi$
$12$	−1235.91	−	1455.03i	−0.715227	−	0.842030i
$13$	−673.084	−	3057.85i	−0.306365	−	1.39183i	−0.838375	−	0.545093i	$-0.816494\pi$
$13$	−673.084	−	3057.85i	−0.306365	−	1.39183i	0.532010	−	0.846738i	$-0.321437\pi$
$14$	1608.51	+	2115.95i	0.586190	+	0.771120i
$15$	1262.83	−	1196.22i	0.374173	−	0.354435i
$16$	−214.400	−	3954.37i	−0.0523437	−	0.965422i
$17$	−7008.52	+	4216.89i	−1.42653	+	0.858312i	−0.998957	−	0.0456701i	$-0.985458\pi$
$17$	−7008.52	+	4216.89i	−1.42653	+	0.858312i	−0.427570	+	0.903982i	$0.640630\pi$
$18$	1002.99	+	680.041i	0.171980	+	0.116605i
$19$	480.538	−	1730.74i	0.0700596	−	0.252332i	−0.920225	−	0.391391i	$-0.871994\pi$
$19$	480.538	−	1730.74i	0.0700596	−	0.252332i	0.990284	+	0.139059i	$0.0444078\pi$
$20$	−3952.41	+	429.851i	−0.494051	+	0.0537313i
$21$	−5362.29	−	4076.31i	−0.579019	−	0.440159i
$22$	−23803.1	−	11012.5i	−2.23545	−	1.03423i
$23$	−310.190	+	210.314i	−0.0254943	+	0.0172856i	−0.573868	−	0.818948i	$-0.694558\pi$
$23$	−310.190	+	210.314i	−0.0254943	+	0.0172856i	0.548373	+	0.836234i	$0.315247\pi$
$24$	−216.391	−	642.226i	−0.0156533	−	0.0464573i
$25$	1941.79	+	11844.4i	0.124275	+	0.758043i
$26$	5776.79	−	35236.8i	0.328675	−	2.00483i
$27$	17055.6	+	5746.71i	0.866516	+	0.291963i
$28$	4118.70	+	14834.2i	0.187623	+	0.675756i
$29$	15350.4	+	38526.7i	0.629400	+	1.57967i	0.803735	+	0.594988i	$0.202843\pi$
$29$	15350.4	+	38526.7i	0.629400	+	1.57967i	−0.174335	+	0.984686i	$0.555778\pi$
$30$	18428.2	−	7342.46i	0.682525	−	0.271943i
$31$	6389.90	−	1774.15i	0.214491	−	0.0595531i	−0.158621	−	0.987340i	$-0.550705\pi$
$31$	6389.90	−	1774.15i	0.214491	−	0.0595531i	0.373112	+	0.927786i	$0.378291\pi$
$32$	14899.7	−	44220.8i	0.454703	−	1.34951i
$33$	65589.8	+	10752.9i	1.82513	+	0.299215i
$34$	−92050.1	+	15090.9i	−2.34200	+	0.383952i
$35$	−13293.1	+	4478.98i	−0.310044	+	0.104466i
$36$	3938.98	+	5809.55i	0.0844259	+	0.124519i
$37$	27989.3	−	60497.8i	0.552569	−	1.19436i	−0.407141	−	0.913365i	$-0.633474\pi$
$37$	27989.3	−	60497.8i	0.552569	−	1.19436i	0.959710	−	0.280993i	$-0.0906637\pi$
$38$	12396.6	−	16307.5i	0.225919	−	0.297192i
$39$	9783.70	+	89959.6i	0.164934	+	1.51654i
$40$	−1359.89	−	377.572i	−0.0212483	−	0.00589956i
$41$	−20488.6	+	30218.4i	−0.297276	+	0.438450i	−0.946767	−	0.321920i	$-0.895672\pi$
$41$	−20488.6	+	30218.4i	−0.297276	+	0.438450i	0.649491	+	0.760370i	$0.274982\pi$
$42$	−39602.8	−	65820.4i	−0.534538	−	0.888409i
$43$	−136366.	+	7393.55i	−1.71515	+	0.0929925i	−0.885306	−	0.465010i	$-0.846051\pi$
$43$	−136366.	+	7393.55i	−1.71515	+	0.0929925i	−0.829840	+	0.558002i	$0.811568\pi$
$44$	−104471.	−	110289.i	−1.22642	−	1.29472i
$45$	−5091.29	+	3870.30i	−0.0558715	+	0.0424724i
$46$	−4173.99	+	918.765i	−0.0428823	+	0.00943911i
$47$	−102528.	+	87088.1i	−0.987528	+	0.838813i	−0.986924	−	0.161186i	$-0.948468\pi$
$47$	−102528.	+	87088.1i	−0.987528	+	0.838813i	−0.000603557		1.00000i	$0.500192\pi$
$48$	−6196.33	+	114285.i	−0.0560287	+	1.03339i
$49$	−29664.2	−	55952.7i	−0.252142	−	0.475590i
$50$	−29425.1	+	133679.i	−0.235400	+	1.06944i
$51$	214541.	−	99257.4i	1.61734	−	0.748260i
$52$	106630.	−	177220.i	0.758347	−	1.26038i
$53$	43037.4	−	81177.2i	0.289080	−	0.545263i	−0.695856	−	0.718181i	$-0.744975\pi$
$53$	43037.4	−	81177.2i	0.289080	−	0.545263i	0.984936	+	0.172918i	$0.0553196\pi$
$54$	156434.	+	132876.i	0.993459	+	0.843852i
$55$	95188.8	−	100490.i	0.572134	−	0.603994i
$56$	−590.890	+	5433.15i	−0.00336467	+	0.0309376i
$57$	−19214.7	+	48225.1i	−0.103755	+	0.260405i
$58$			472958.i			2.42403i
$59$	165340.	+	121833.i	0.805048	+	0.593210i
$59$	165340.	+	121833.i	0.805048	+	0.593210i
$60$	114902.			0.531952
$61$	−94618.6	−	37699.5i	−0.416857	−	0.166091i	0.152273	−	0.988338i	$-0.451341\pi$
$61$	−94618.6	−	37699.5i	−0.416857	−	0.166091i	−0.569130	+	0.822247i	$0.692720\pi$
$62$	75185.1	+	8176.88i	0.315469	+	0.0343093i
$63$	17979.3	+	17030.9i	0.0719037	+	0.0681108i
$64$	180432.	−	212421.i	0.688295	−	0.810323i
$65$	166497.	+	88270.9i	0.606269	+	0.321423i
$66$	649485.	+	390782.i	2.25911	+	1.35926i
$67$	16577.3	+	35831.3i	0.0551176	+	0.119135i	0.933177	−	0.359416i	$-0.117024\pi$
$67$	16577.3	+	35831.3i	0.0551176	+	0.119135i	−0.878060	+	0.478551i	$0.841162\pi$
$68$	−527664.	−	116148.i	−1.67815	−	0.369389i
$69$	9569.36	−	5073.36i	0.0291297	−	0.0154436i
$70$	−159737.	−	8660.71i	−0.465707	−	0.0252499i
$71$	−180099.	−	212029.i	−0.503196	−	0.592408i	0.450652	−	0.892700i	$-0.351192\pi$
$71$	−180099.	−	212029.i	−0.503196	−	0.592408i	−0.953847	+	0.300292i	$0.902916\pi$
$72$	535.635	+	2433.42i	0.00143507	+	0.00651957i
$73$	195764.	+	257523.i	0.503226	+	0.661983i	0.975636	−	0.219396i	$-0.0704087\pi$
$73$	195764.	+	257523.i	0.503226	+	0.661983i	−0.472409	+	0.881379i	$0.656616\pi$
$74$	551895.	−	522783.i	1.36195	−	1.29011i
$75$	−18779.9	−	346375.i	−0.0445153	−	0.821036i
$76$	101667.	−	61171.1i	0.231601	−	0.139349i
$77$	−443638.	−	300794.i	−0.971754	−	0.658866i
$78$	−276081.	+	994354.i	−0.581772	+	2.09535i
$79$	485.926	−	52.8476i	0.000985573	−	0.000107188i	−0.107626	−	0.994191i	$-0.534325\pi$
$79$	485.926	−	52.8476i	0.000985573	−	0.000107188i	0.108612	+	0.994084i	$0.465359\pi$
$80$	189749.	+	144244.i	0.370604	+	0.281726i
$81$	−542378.	−	250931.i	−1.02058	−	0.472171i
$82$	−344617.	+	233656.i	−0.625022	+	0.423775i
$83$	175853.	+	521914.i	0.307550	+	0.912777i	0.984291	+	0.176555i	$0.0564954\pi$
$83$	175853.	+	521914.i	0.307550	+	0.912777i	−0.676740	+	0.736222i	$0.736608\pi$
$84$	−71983.1	−	439077.i	−0.121449	−	0.740804i
$85$	79643.5	−	485804.i	0.129686	−	0.791050i
$86$	−1.47591e6	−	497290.i	−2.32040	−	0.781834i
$87$	−320654.	−	1.15489e6i	−0.486944	−	1.75381i
$88$	−19960.8	−	50097.7i	−0.0292907	−	0.0735140i
$89$	−211510.	+	84273.1i	−0.300027	+	0.119542i	−0.515294	−	0.857014i	$-0.672317\pi$
$89$	−211510.	+	84273.1i	−0.300027	+	0.119542i	0.215267	+	0.976555i	$0.430938\pi$
$90$	−70275.5	+	19511.9i	−0.0963998	+	0.0267653i
$91$	233007.	−	691539.i	0.309203	−	0.917683i
$92$	−24429.5	−	4005.01i	−0.0313726	−	0.00514328i
$93$	−189135.	+	31007.0i	−0.235138	+	0.0385489i
$94$	−1.45382e6	+	489849.i	−1.75036	+	0.589764i
$95$	60669.2	+	89480.3i	0.0707615	+	0.104365i
$96$	−566268.	+	1.22397e6i	−0.640042	+	1.38343i
$97$	−25350.6	+	33348.1i	−0.0277762	+	0.0365390i	−0.809772	−	0.586745i	$-0.800409\pi$
$97$	−25350.6	+	33348.1i	−0.0277762	+	0.0365390i	0.781995	+	0.623284i	$0.214202\pi$
$98$	−78086.5	−	717994.i	−0.0829656	−	0.762856i
$99$	−235462.	−	65375.8i	−0.242670	−	0.0673770i
$100$	−444933.	+	656227.i	−0.444933	+	0.656227i
$101$	−617819.	−	1.02682e6i	−0.599649	−	0.996625i	−0.996882	−	0.0789070i	$-0.974857\pi$
$101$	−617819.	−	1.02682e6i	−0.599649	−	0.996625i	0.397233	−	0.917718i	$-0.369971\pi$
$102$	2.69189e6	−	145950.i	2.53662	−	0.137532i
$103$	501612.	+	529545.i	0.459046	+	0.484609i	0.913890	−	0.405962i	$-0.133064\pi$
$103$	501612.	+	529545.i	0.459046	+	0.484609i	−0.454844	+	0.890571i	$0.650305\pi$
$104$	58449.8	−	44432.4i	0.0519616	−	0.0395002i
$105$	395927.	−	87150.0i	0.342016	−	0.0752835i
$106$	798609.	−	678345.i	0.670528	−	0.569551i
$107$	−19328.5	+	356493.i	−0.0157778	+	0.291004i	0.979987	+	0.199063i	$0.0637899\pi$
$107$	−19328.5	+	356493.i	−0.0157778	+	0.291004i	−0.995764	+	0.0919411i	$0.970693\pi$
$108$	556874.	+	1.05038e6i	0.442064	+	0.833822i
$109$	351700.	−	1.59779e6i	0.271577	−	1.23379i	−0.621332	−	0.783548i	$-0.713408\pi$
$109$	351700.	−	1.59779e6i	0.271577	−	1.23379i	0.892909	−	0.450238i	$-0.148661\pi$
$110$	1.43263e6	−	662807.i	1.07636	−	0.497977i
$111$	−993211.	+	1.65073e6i	−0.726227	+	1.20700i
$112$	432330.	−	815462.i	0.307724	−	0.580429i
$113$	−1.29159e6	−	1.09708e6i	−0.895134	−	0.760333i	0.0764393	−	0.997074i	$-0.475645\pi$
$113$	−1.29159e6	−	1.09708e6i	−0.895134	−	0.760333i	−0.971573	+	0.236741i	$0.923921\pi$
$114$	−407130.	+	429802.i	−0.274801	+	0.290104i
$115$	2438.73	−	22423.8i	0.00160351	−	0.0147440i
$116$	−1.01399e6	+	2.54492e6i	−0.649621	+	1.63043i
$117$		−	332700.i		−	0.207728i
$118$	1.23738e6	+	1.98865e6i	0.753108	+	1.21035i
$119$	−1.90631e6			−1.13124
$120$	37891.8	+	15097.5i	0.0219281	+	0.00873697i
$121$	3.49678e6	+	380297.i	1.97384	+	0.214668i
$122$	−843279.	−	798796.i	−0.464399	−	0.439902i
$123$	683090.	−	804196.i	0.367082	−	0.432162i
$124$	387031.	+	205191.i	0.202993	+	0.107620i
$125$	−1.42480e6	−	857271.i	−0.729495	−	0.438923i
$126$	118587.	+	256323.i	0.0592826	+	0.128137i
$127$	−3.14148e6	−	691491.i	−1.53364	−	0.337579i	−0.633693	−	0.773585i	$-0.718462\pi$
$127$	−3.14148e6	−	691491.i	−1.53364	−	0.337579i	−0.899944	+	0.436006i	$0.856393\pi$
$128$	169631.	−	89932.9i	0.0808866	−	0.0428834i
$129$	3.94109e6	+	213680.i	1.83589	+	0.0995392i
$130$	1.39130e6	+	1.63797e6i	0.633274	+	0.745548i
$131$	−466951.	−	2.12138e6i	−0.207710	−	0.943636i	−0.958943	−	0.283599i	$-0.908472\pi$
$131$	−466951.	−	2.12138e6i	−0.207710	−	0.943636i	0.751233	−	0.660037i	$-0.229459\pi$
$132$	2.65699e6	+	3.49521e6i	1.15523	+	1.51968i
$133$	303927.	−	287895.i	0.129186	−	0.122371i
$134$	24375.6	+	449581.i	0.0101307	+	0.186850i
$135$	−928173.	+	558463.i	−0.377248	+	0.226983i
$136$	−158750.	−	107635.i	−0.0631098	−	0.0427895i
$137$	358617.	−	1.29162e6i	0.139466	−	0.502312i	−0.860508	−	0.509436i	$-0.829854\pi$
$137$	358617.	−	1.29162e6i	0.139466	−	0.502312i	0.999975	+	0.00712447i	$0.00226781\pi$
$138$	122796.	−	13354.8i	0.0467246	−	0.00508161i
$139$	3.06781e6	+	2.33209e6i	1.14231	+	0.868361i	0.992727	−	0.120389i	$-0.0384141\pi$
$139$	3.06781e6	+	2.33209e6i	1.14231	+	0.868361i	0.149582	+	0.988749i	$0.452207\pi$
$140$	−840959.	−	389069.i	−0.306472	−	0.141789i
$141$	3.21790e6	−	2.18179e6i	1.14793	−	0.778316i
$142$	−1.01301e6	−	3.00651e6i	−0.353793	−	1.05002i
$143$	1.16495e6	+	7.10586e6i	0.398380	+	2.43001i
$144$	68078.0	−	415257.i	0.0227992	−	0.139069i
$145$	−2.36542e6	−	797002.i	−0.775897	−	0.261430i
$146$	986931.	+	3.55461e6i	0.317123	+	1.14218i
$147$	677458.	+	1.70029e6i	0.213270	+	0.535268i
$148$	4.09049e6	−	1.62980e6i	1.26180	−	0.502747i
$149$	1.80975e6	−	502473.i	0.547090	−	0.151899i	0.0170238	−	0.999855i	$-0.494581\pi$
$149$	1.80975e6	−	502473.i	0.547090	−	0.151899i	0.530066	+	0.847956i	$0.322167\pi$
$150$	1.26314e6	−	3.74885e6i	0.374262	−	1.11077i
$151$	−5.97961e6	−	980307.i	−1.73677	−	0.284729i	−0.791534	−	0.611125i	$-0.790717\pi$
$151$	−5.97961e6	−	980307.i	−1.73677	−	0.284729i	−0.945233	+	0.326396i	$0.894166\pi$
$152$	41565.0	−	6814.23i	0.0118358	−	0.00194038i
$153$	−823625.	+	277512.i	−0.229962	+	0.0774831i
$154$	−3.43032e6	−	5.05934e6i	−0.939231	−	1.38526i
$155$	−167593.	+	362247.i	−0.0450051	+	0.0972768i
$156$	−3.61739e6	+	4.75859e6i	−0.952843	+	1.25344i
$157$	−408189.	−	3.75323e6i	−0.105478	−	0.969854i	−0.920585	−	0.390543i	$-0.872287\pi$
$157$	−408189.	−	3.75323e6i	−0.105478	−	0.969854i	0.815107	−	0.579311i	$-0.196678\pi$
$158$	5371.10	+	1491.28i	0.00136173	+	0.000378083i
$159$	−1.49018e6	+	2.19785e6i	−0.370722	+	0.546774i
$160$	1.44795e6	+	2.40651e6i	0.353503	+	0.587526i
$161$	−87216.6	+	4728.75i	−0.0208988	+	0.00113310i
$162$	−4.68688e6	−	4.94788e6i	−1.10240	−	1.16379i
$163$	−1.07036e6	+	813669.i	−0.247155	+	0.187882i	−0.721416	−	0.692502i	$-0.756508\pi$
$163$	−1.07036e6	+	813669.i	−0.247155	+	0.187882i	0.474261	+	0.880384i	$0.342715\pi$
$164$	−2.35529e6	+	518438.i	−0.533964	+	0.117534i
$165$	−3.04891e6	+	2.58977e6i	−0.678723	+	0.576513i
$166$	−340036.	+	6.27159e6i	−0.0743362	+	1.37105i
$167$	1.19848e6	+	2.26058e6i	0.257325	+	0.485366i	0.978191	−	0.207708i	$-0.0666005\pi$
$167$	1.19848e6	+	2.26058e6i	0.257325	+	0.485366i	−0.720866	+	0.693075i	$0.756256\pi$
$168$	33954.2	−	154256.i	0.00716087	−	0.0325322i
$169$	−4.51673e6	+	2.08966e6i	−0.935759	+	0.432928i
$170$	2.89441e6	−	4.81054e6i	0.589132	−	0.979145i
$171$	89401.6	−	168629.i	0.0178796	−	0.0337244i
$172$	−6.87550e6	−	5.84010e6i	−1.35120	−	1.14772i
$173$	3.28079e6	−	3.46348e6i	0.633636	−	0.668921i	−0.327547	−	0.944835i	$-0.606222\pi$
$173$	3.28079e6	−	3.46348e6i	0.633636	−	0.668921i	0.961182	+	0.275914i	$0.0889805\pi$
$174$	1.47786e6	−	1.35887e7i	0.280535	−	2.57948i
$175$	−1.03541e6	+	2.59869e6i	−0.193197	+	0.484887i
$176$			9.10751e6i			1.67056i
$177$	−4.36976e6	−	4.01707e6i	−0.788020	−	0.724419i
$178$	−2.59651e6			−0.460395
$179$	7.07717e6	+	2.81980e6i	1.23396	+	0.491654i	0.893695	−	0.448676i	$-0.148104\pi$
$179$	7.07717e6	+	2.81980e6i	1.23396	+	0.491654i	0.340264	+	0.940330i	$0.389484\pi$
$180$	−419976.	−	45675.1i	−0.0720123	−	0.00783181i
$181$	6.50737e6	+	6.16411e6i	1.09741	+	1.03952i	0.999015	+	0.0443776i	$0.0141305\pi$
$181$	6.50737e6	+	6.16411e6i	1.09741	+	1.03952i	0.0983981	+	0.995147i	$0.468628\pi$
$182$	5.38761e6	−	6.34279e6i	0.893680	−	1.05212i
$183$	2.60073e6	+	1.37882e6i	0.424367	+	0.224985i
$184$	−7530.03	−	4530.67i	−0.00120877	−	0.000727292i
$185$	1.68459e6	+	3.64118e6i	0.266059	+	0.575078i
$186$	−2.13462e6	−	469866.i	−0.331728	−	0.0730190i
$187$	1.66194e7	−	8.81105e6i	2.54150	−	1.34742i
$188$	−8.87302e6	−	481081.i	−1.33536	−	0.0724011i
$189$	2.71555e6	+	3.19700e6i	0.402229	+	0.473540i
$190$	265036.	+	1.20407e6i	0.0386406	+	0.175546i
$191$	−4.51237e6	−	5.93592e6i	−0.647596	−	0.851898i	0.348758	−	0.937213i	$-0.386603\pi$
$191$	−4.51237e6	−	5.93592e6i	−0.647596	−	0.851898i	−0.996354	+	0.0853148i	$0.972810\pi$
$192$	−5.84784e6	+	5.53937e6i	−0.826212	+	0.782630i
$193$	−181119.	−	3.34055e6i	−0.0251938	−	0.464671i	−0.983725	−	0.179683i	$-0.942493\pi$
$193$	−181119.	−	3.34055e6i	−0.0251938	−	0.464671i	0.958531	−	0.284989i	$-0.0919899\pi$
$194$	−409338.	+	246290.i	−0.0560630	+	0.0337320i
$195$	−4.50786e6	−	3.05640e6i	−0.607948	−	0.412199i
$196$	1.11916e6	−	4.03085e6i	0.148636	−	0.535338i
$197$	−3.76589e6	+	409565.i	−0.492571	+	0.0535703i	−0.351034	−	0.936363i	$-0.614170\pi$
$197$	−3.76589e6	+	409565.i	−0.492571	+	0.0535703i	−0.141537	+	0.989933i	$0.545204\pi$
$198$	−2.21859e6	−	1.68653e6i	−0.285812	−	0.217269i
$199$	−2.48913e6	−	1.15159e6i	−0.315855	−	0.146130i	0.255556	−	0.966794i	$-0.417742\pi$
$199$	−2.48913e6	−	1.15159e6i	−0.315855	−	0.146130i	−0.571411	+	0.820664i	$0.693604\pi$
$200$	−232953.	+	157946.i	−0.0291191	+	0.0197433i
$201$	−364327.	−	1.08128e6i	−0.0448645	−	0.133153i
$202$	−2.21097e6	−	1.34863e7i	−0.268243	−	1.63621i
$203$	−1.56374e6	+	9.53837e6i	−0.186928	+	1.14021i
$204$	1.47976e7	+	4.98589e6i	1.74301	+	0.587290i
$205$	−587863.	−	2.11729e6i	−0.0682361	−	0.245764i
$206$	3.07892e6	+	7.72751e6i	0.352206	+	0.883971i
$207$	−36993.7	+	14739.6i	−0.00417077	+	0.00166179i
$208$	−1.19476e7	+	3.31723e6i	−1.32767	+	0.368625i
$209$	−1.31900e6	+	3.91465e6i	−0.144479	+	0.428799i
$210$	4.56242e6	+	747971.i	0.492649	+	0.0807656i
$211$	−1.46968e7	+	2.40942e6i	−1.56450	+	0.256487i	−0.880876	−	0.473347i	$-0.843046\pi$
$211$	−1.46968e7	+	2.40942e6i	−1.56450	+	0.256487i	−0.683624	+	0.729834i	$0.739597\pi$
$212$	5.75154e6	−	1.93792e6i	0.603638	−	0.203389i
$213$	4.51197e6	+	6.65466e6i	0.466904	+	0.688632i
$214$	−1.70958e6	+	3.69519e6i	−0.174440	+	0.377047i
$215$	4.97423e6	−	6.54349e6i	0.500508	−	0.658406i
$216$	45629.8	+	419559.i	0.00452780	+	0.0416325i
$217$	1.48926e6	+	413491.i	0.145744	+	0.0404657i
$218$	1.04705e7	−	1.54428e7i	1.01064	−	1.49058i
$219$	−4.81988e6	−	8.01070e6i	−0.458885	−	0.762672i
$220$	9.12984e6	−	495005.i	0.857423	−	0.0464881i
$221$	1.76120e7	+	1.85927e7i	1.63166	+	1.72253i
$222$	−1.74903e7	+	1.32958e7i	−1.59859	+	1.21522i
$223$	−1.55989e7	+	3.43359e6i	−1.40663	+	0.309623i	−0.852466	−	0.522782i	$-0.824894\pi$
$223$	−1.55989e7	+	3.43359e6i	−1.40663	+	0.309623i	−0.554167	+	0.832406i	$0.686963\pi$
$224$	8.28897e6	−	7.04072e6i	0.737491	−	0.626430i
$225$	−69047.0	+	1.27350e6i	−0.00606174	+	0.111802i
$226$	−9.05245e6	−	1.70747e7i	−0.784225	−	1.47921i
$227$	−4.14116e6	+	1.88135e7i	−0.354033	+	1.60839i	0.377112	+	0.926168i	$0.376917\pi$
$227$	−4.14116e6	+	1.88135e7i	−0.354033	+	1.60839i	−0.731145	+	0.682222i	$0.761014\pi$
$228$	−3.11218e6	+	1.43985e6i	−0.262579	+	0.121482i
$229$	−2.61582e6	+	4.34753e6i	−0.217822	+	0.362023i	−0.946431	−	0.322907i	$-0.895340\pi$
$229$	−2.61582e6	+	4.34753e6i	−0.217822	+	0.362023i	0.728609	+	0.684930i	$0.240167\pi$
$230$	120490.	−	227269.i	0.00990305	−	0.0186791i
$231$	1.18064e7	+	1.00285e7i	0.957819	+	0.813578i
$232$	−668780.	+	706023.i	−0.0535574	+	0.0565399i
$233$	2.49159e6	−	2.29098e7i	0.196974	−	1.81114i	−0.311695	−	0.950182i	$-0.600897\pi$
$233$	2.49159e6	−	2.29098e7i	0.196974	−	1.81114i	0.508669	−	0.860962i	$-0.330138\pi$
$234$	1.40437e6	−	3.52471e6i	0.109606	−	0.275091i
$235$		−	8.09650e6i		−	0.623870i
$236$	2.39465e6	+	1.33535e7i	0.182182	+	1.01592i
$237$	−14126.5			−0.00106118
$238$	−2.01960e7	−	8.04681e6i	−1.49808	−	0.596888i
$239$	8.85710e6	+	963268.i	0.648781	+	0.0705592i	0.426592	−	0.904444i	$-0.359714\pi$
$239$	8.85710e6	+	963268.i	0.648781	+	0.0705592i	0.222189	+	0.975004i	$0.428680\pi$
$240$	−5.00104e6	−	4.73724e6i	−0.361765	−	0.342682i
$241$	−6.80268e6	+	8.00874e6i	−0.485992	+	0.572154i	−0.949431	−	0.313975i	$-0.898339\pi$
$241$	−6.80268e6	+	8.00874e6i	−0.485992	+	0.572154i	0.463439	+	0.886129i	$0.346615\pi$
$242$	3.54405e7	+	1.87893e7i	2.50065	+	1.32576i
$243$	3.55693e6	+	2.14013e6i	0.247888	+	0.149149i
$244$	−2.82501e6	−	6.10616e6i	−0.194469	−	0.420338i
$245$	3.72251e6	+	819387.i	0.253127	+	0.0557174i
$246$	1.06315e7	−	5.63644e6i	0.714146	−	0.378616i
$247$	−5.61580e6	−	304480.i	−0.372667	−	0.0202054i
$248$	100673.	+	118521.i	0.00660019	+	0.00777035i
$249$	−3.42167e6	−	1.55448e7i	−0.221636	−	1.00690i
$250$	−1.14760e7	−	1.50964e7i	−0.734463	−	0.966170i
$251$	−1.65384e7	+	1.56660e7i	−1.04586	+	0.990688i	−0.999966	−	0.00825862i	$-0.997371\pi$
$251$	−1.65384e7	+	1.56660e7i	−1.04586	+	0.990688i	−0.0458906	+	0.998946i	$0.514613\pi$
$252$	88564.9	+	1.63348e6i	0.00553427	+	0.102074i
$253$	738505.	−	444344.i	0.0456029	−	0.0274383i
$254$	−3.03627e7	−	2.05864e7i	−1.85285	−	1.25626i
$255$	−3.80627e6	+	1.37090e7i	−0.229551	+	0.826769i
$256$	−1.55561e7	+	1.69183e6i	−0.927214	+	0.100841i
$257$	1.08757e7	+	8.26749e6i	0.640705	+	0.487051i	0.874366	−	0.485267i	$-0.161278\pi$
$257$	1.08757e7	+	8.26749e6i	0.640705	+	0.487051i	−0.233661	+	0.972318i	$0.575071\pi$
$258$	4.08510e7	+	1.88997e7i	2.37872	+	1.10051i
$259$	1.28588e7	−	8.71849e6i	0.740119	−	0.501813i
$260$	3.97473e6	+	1.17966e7i	0.226145	+	0.671175i
$261$	712933.	+	4.34870e6i	0.0400984	+	0.244590i
$262$	4.00764e6	−	2.44455e7i	0.222836	−	1.35924i
$263$	9.76083e6	+	3.28881e6i	0.536561	+	0.180789i	0.574520	−	0.818491i	$-0.305189\pi$
$263$	9.76083e6	+	3.28881e6i	0.536561	+	0.180789i	−0.0379583	+	0.999279i	$0.512085\pi$
$264$	416959.	+	1.50175e6i	0.0226611	+	0.0816180i
$265$	2.04686e6	+	5.13722e6i	0.109989	+	0.276052i
$266$	4.43512e6	−	1.76711e6i	0.235646	−	0.0938900i
$267$	6.34030e6	−	1.76038e6i	0.333101	−	0.0924851i
$268$	−832711.	+	2.47140e6i	−0.0432603	+	0.128392i
$269$	−7.74549e6	−	1.26981e6i	−0.397917	−	0.0652351i	−0.0404985	−	0.999180i	$-0.512895\pi$
$269$	−7.74549e6	−	1.26981e6i	−0.397917	−	0.0652351i	−0.357418	+	0.933944i	$0.616343\pi$
$270$	−1.21906e7	+	1.99855e6i	−0.619349	+	0.101537i
$271$	−5.31725e6	+	1.79159e6i	−0.267165	+	0.0900183i	−0.449696	−	0.893182i	$-0.648468\pi$
$271$	−5.31725e6	+	1.79159e6i	−0.267165	+	0.0900183i	0.182531	+	0.983200i	$0.441571\pi$
$272$	1.81778e7	+	2.68102e7i	0.903303	+	1.33227i
$273$	−8.85548e6	+	1.91408e7i	−0.435235	+	0.940746i
$274$	9.25138e6	−	1.21700e7i	0.449733	−	0.591614i
$275$	−2.98442e6	−	2.74413e7i	−0.143503	−	1.31949i
$276$	689379.	+	191405.i	0.0327892	+	0.00910388i
$277$	2.03828e6	−	3.00624e6i	0.0959013	−	0.141444i	−0.776711	−	0.629857i	$-0.783114\pi$
$277$	2.03828e6	−	3.00624e6i	0.0959013	−	0.141444i	0.872613	+	0.488413i	$0.162424\pi$
$278$	2.26571e7	+	3.76563e7i	1.05455	+	1.75268i
$279$	703630.	−	38149.7i	0.0323990	−	0.00175662i
$280$	−226207.	−	238803.i	−0.0103046	−	0.0108784i
$281$	5.41384e6	−	4.11549e6i	0.243998	−	0.185482i	−0.476027	−	0.879431i	$-0.657924\pi$
$281$	5.41384e6	−	4.11549e6i	0.243998	−	0.185482i	0.720025	+	0.693948i	$0.244130\pi$
$282$	4.33009e7	−	9.53125e6i	1.93086	−	0.425014i
$283$	1.11714e7	−	9.48907e6i	0.492888	−	0.418663i	−0.366165	−	0.930550i	$-0.619329\pi$
$283$	1.11714e7	−	9.48907e6i	0.492888	−	0.418663i	0.859053	+	0.511887i	$0.171053\pi$
$284$	994881.	−	1.83495e7i	0.0434326	−	0.801068i
$285$	−1.46351e6	−	2.76047e6i	−0.0632209	−	0.119247i
$286$	−1.76531e7	+	8.01987e7i	−0.754609	+	3.42822i
$287$	−7.72260e6	+	3.57285e6i	−0.326676	+	0.151137i
$288$	2.55631e6	−	4.24862e6i	0.107013	−	0.177857i
$289$	2.00310e7	−	3.77825e7i	0.829868	−	1.56530i
$290$	−2.16956e7	−	1.84284e7i	−0.889564	−	0.755603i
$291$	832562.	−	878925.i	0.0337861	−	0.0356675i
$292$	−2.31029e6	+	2.12428e7i	−0.0927937	+	0.853224i
$293$	9.05585e6	−	2.27285e7i	0.360020	−	0.903582i	−0.631706	−	0.775208i	$-0.717645\pi$
$293$	9.05585e6	−	2.27285e7i	0.360020	−	0.903582i	0.991726	−	0.128374i	$-0.0409757\pi$
$294$			2.08730e7i			0.821377i
$295$	−1.20311e7	+	2.83739e6i	−0.468639	+	0.110523i
$296$	1.56309e6			0.0602712
$297$	−3.84511e7	−	1.53203e7i	−1.46771	−	0.584787i
$298$	2.12939e7	+	2.31585e6i	0.804649	+	0.0875109i
$299$	851893.	+	806956.i	0.0318692	+	0.0301881i
$300$	1.48341e7	−	1.74640e7i	0.549410	−	0.646816i
$301$	−2.81211e7	−	1.49089e7i	−1.03118	−	0.546695i
$302$	−5.92114e7	−	3.56263e7i	−2.14973	−	1.29345i
$303$	1.45423e7	+	3.14326e7i	0.522763	+	1.12993i
$304$	−6.94702e6	−	1.52916e6i	−0.247274	−	0.0544291i
$305$	5.41609e6	−	2.87143e6i	0.190891	−	0.101204i
$306$	−9.89711e6	−	536606.i	−0.345417	−	0.0187280i
$307$	−1.57903e6	−	1.85898e6i	−0.0545728	−	0.0642481i	0.734198	−	0.678935i	$-0.237558\pi$
$307$	−1.57903e6	−	1.85898e6i	−0.0545728	−	0.0642481i	−0.788771	+	0.614687i	$0.789282\pi$
$308$	−7.61121e6	−	3.45781e7i	−0.260496	−	1.18345i
$309$	−1.27573e7	−	1.67820e7i	−0.432399	−	0.568811i
$310$	−3.30462e6	+	3.13030e6i	−0.110927	+	0.105075i
$311$	2.61919e6	+	4.83082e7i	0.0870736	+	1.60598i	0.637067	+	0.770809i	$0.280148\pi$
$311$	2.61919e6	+	4.83082e7i	0.0870736	+	1.60598i	−0.549993	+	0.835169i	$0.685370\pi$
$312$	−1.81818e6	+	1.09396e6i	−0.0598651	+	0.0360197i
$313$	−5.97952e6	−	4.05422e6i	−0.195000	−	0.132213i	0.459780	−	0.888033i	$-0.347928\pi$
$313$	−5.97952e6	−	4.05422e6i	−0.195000	−	0.132213i	−0.654780	+	0.755820i	$0.727239\pi$
$314$	1.15184e7	−	4.14857e7i	0.372053	−	1.34001i
$315$	−1.48179e6	+	161155.i	−0.0474084	+	0.00515598i
$316$	25704.0	+	19539.7i	0.000814591	+	0.000619236i
$317$	−1.43081e7	−	6.61965e6i	−0.449165	−	0.207806i	0.182248	−	0.983253i	$-0.441663\pi$
$317$	−1.43081e7	−	6.61965e6i	−0.449165	−	0.207806i	−0.631413	+	0.775447i	$0.717525\pi$
$318$	−2.50648e7	+	1.69944e7i	−0.779441	+	0.528474i
$319$	−3.04539e7	−	9.03839e7i	−0.938146	−	2.78432i
$320$	2.71383e6	+	1.65536e7i	0.0828196	+	0.505177i
$321$	1.66928e6	−	1.01821e7i	0.0504677	−	0.307839i
$322$	−943956.	−	318056.i	−0.0282738	−	0.00952655i
$323$	3.93049e6	+	1.41563e7i	0.116638	+	0.420091i
$324$	−1.46116e7	−	3.66723e7i	−0.429598	−	1.07821i
$325$	3.49115e7	−	1.39100e7i	1.01699	−	0.405208i
$326$	−1.47743e7	+	4.10207e6i	−0.426437	+	0.118400i
$327$	−1.50975e7	+	4.48077e7i	−0.431779	+	1.28147i
$328$	−844838.	−	138504.i	−0.0239415	−	0.00392501i
$329$	−3.09395e7	+	5.07227e6i	−0.868811	+	0.142434i
$330$	−4.32327e7	+	1.45668e7i	−1.20301	+	0.405342i
$331$	−8.36160e6	−	1.23324e7i	−0.230571	−	0.340068i	0.694750	−	0.719251i	$-0.255515\pi$
$331$	−8.36160e6	−	1.23324e7i	−0.230571	−	0.340068i	−0.925321	+	0.379184i	$0.876205\pi$
$332$	−1.52756e7	+	3.30176e7i	−0.417430	+	0.902260i
$333$	4.28647e6	−	5.63875e6i	0.116083	−	0.152704i
$334$	3.15482e6	+	2.90081e7i	0.0846710	+	0.778537i
$335$	−2.28958e6	−	635699.i	−0.0609006	−	0.0169090i
$336$	−1.49696e7	+	2.20784e7i	−0.394631	+	0.582037i
$337$	3.17314e6	+	5.27380e6i	0.0829086	+	0.137795i	0.895537	−	0.444987i	$-0.146792\pi$
$337$	3.17314e6	+	5.27380e6i	0.0829086	+	0.137795i	−0.812628	+	0.582782i	$0.801964\pi$
$338$	−5.66721e7	+	3.07267e6i	−1.46764	+	0.0795731i
$339$	3.36810e7	+	3.55566e7i	0.864541	+	0.912685i
$340$	2.58879e7	−	1.96795e7i	0.658659	−	0.500700i
$341$	−1.48947e7	+	3.27856e6i	−0.375636	+	0.0826838i
$342$	1.65895e6	−	1.40913e6i	0.0414720	−	0.0352266i
$343$	2.28357e6	−	4.21179e7i	0.0565889	−	1.04372i
$344$	−1.50002e6	−	2.82933e6i	−0.0368486	−	0.0695039i
$345$	−140136.	+	636647.i	−0.00341267	+	0.0155039i
$346$	4.93773e7	−	2.28444e7i	1.19206	−	0.551507i
$347$	9.66126e6	−	1.60571e7i	0.231231	−	0.384308i	−0.719418	−	0.694577i	$-0.755591\pi$
$347$	9.66126e6	−	1.60571e7i	0.231231	−	0.384308i	0.950649	+	0.310269i	$0.100419\pi$
$348$	3.70856e7	−	6.99508e7i	0.879969	−	1.65980i
$349$	−1.40839e7	−	1.19630e7i	−0.331320	−	0.281426i	0.466249	−	0.884654i	$-0.345605\pi$
$349$	−1.40839e7	−	1.19630e7i	−0.331320	−	0.281426i	−0.797569	+	0.603228i	$0.793881\pi$
$350$	−2.19388e7	+	2.31606e7i	−0.511693	+	0.540188i
$351$	6.09272e6	−	5.60216e7i	0.140893	−	1.29549i
$352$	−3.97215e7	+	9.96935e7i	−0.910747	+	2.28580i
$353$			1.75893e7i			0.399875i	0.979809	+	0.199938i	$0.0640739\pi$
$353$			1.75893e7i			0.399875i	−0.979809	+	0.199938i	$0.935926\pi$
$354$	−2.93377e7	−	6.10032e7i	−0.661327	−	1.37513i
$355$	1.67437e7			0.374253
$356$	−1.39715e7	−	5.56676e6i	−0.309666	−	0.123382i
$357$	5.47711e7	+	5.95672e6i	1.20378	+	0.130919i
$358$	6.30746e7	+	5.97474e7i	1.37469	+	1.30218i
$359$	−6.97356e6	+	8.20991e6i	−0.150720	+	0.177441i	−0.832341	−	0.554264i	$-0.813000\pi$
$359$	−6.97356e6	+	8.20991e6i	−0.150720	+	0.177441i	0.681621	+	0.731706i	$0.261276\pi$
$360$	−132497.	−	70245.3i	−0.00283986	−	0.00150560i
$361$	3.75470e7	+	2.25913e7i	0.798094	+	0.480197i
$362$	4.29212e7	+	9.27727e7i	0.904787	+	1.95566i
$363$	−9.92790e7	−	2.18530e7i	−2.07557	−	0.456868i
$364$	4.25886e7	−	2.25790e7i	0.883058	−	0.468168i
$365$	−1.94409e7	−	1.05405e6i	−0.399795	−	0.0216763i
$366$	2.17326e7	+	2.55856e7i	0.443269	+	0.521857i
$367$	−2.79190e6	−	1.26837e7i	−0.0564809	−	0.256595i	0.939916	−	0.341405i	$-0.110903\pi$
$367$	−2.79190e6	−	1.26837e7i	−0.0564809	−	0.256595i	−0.996397	+	0.0848098i	$0.972972\pi$
$368$	898163.	+	1.18151e6i	0.0180224	+	0.0237080i
$369$	−2.81644e6	+	2.66787e6i	−0.0560559	+	0.0530989i
$370$	2.47704e6	+	4.56864e7i	0.0489022	+	0.901949i
$371$	1.83487e7	−	1.10401e7i	0.359323	−	0.216197i
$372$	−1.04788e7	−	7.10479e6i	−0.203555	−	0.138014i
$373$	−1.52767e7	+	5.50217e7i	−0.294376	+	1.06025i	0.657422	+	0.753523i	$0.271647\pi$
$373$	−1.52767e7	+	5.50217e7i	−0.294376	+	1.06025i	−0.951798	+	0.306725i	$0.900767\pi$
$374$	2.13263e8	−	2.31937e7i	4.07662	−	0.443359i
$375$	3.82577e7	+	2.90827e7i	0.725478	+	0.551494i
$376$	−2.86290e6	−	1.32452e6i	−0.0538571	−	0.0249169i
$377$	1.07477e8	−	7.28710e7i	2.00581	−	1.35998i
$378$	1.52743e7	+	4.53325e7i	0.282804	+	0.839333i
$379$	1.49758e7	+	9.13486e7i	0.275089	+	1.67797i	0.657093	+	0.753809i	$0.271786\pi$
$379$	1.49758e7	+	9.13486e7i	0.275089	+	1.67797i	−0.382004	+	0.924161i	$0.624766\pi$
$380$	−1.15532e6	+	7.04717e6i	−0.0210549	+	0.128429i
$381$	8.80983e7	+	2.96838e7i	1.59292	+	0.536716i
$382$	−2.27488e7	−	8.19339e7i	−0.408102	−	1.46985i
$383$	1.18972e7	+	2.98598e7i	0.211763	+	0.531485i	0.996038	−	0.0889285i	$-0.0283443\pi$
$383$	1.18972e7	+	2.98598e7i	0.211763	+	0.531485i	−0.784275	+	0.620413i	$0.786965\pi$
$384$	−5.15477e6	+	2.05385e6i	−0.0910365	+	0.0362723i
$385$	3.10841e7	−	8.63045e6i	0.544698	−	0.151235i
$386$	1.21821e7	−	3.61552e7i	0.211817	−	0.628649i
$387$	−1.43201e7	−	2.34766e6i	−0.247066	−	0.0405045i
$388$	−2.73062e6	+	447663.i	−0.0467484	+	0.00766401i
$389$	−6.53871e7	+	2.20315e7i	−1.11082	+	0.374278i	−0.814122	−	0.580693i	$-0.802781\pi$
$389$	−6.53871e7	+	2.20315e7i	−1.11082	+	0.374278i	−0.296696	+	0.954972i	$0.595885\pi$
$390$	−3.48559e7	−	5.14086e7i	−0.587601	−	0.866646i
$391$	1.28710e6	−	2.78202e6i	0.0215319	−	0.0465405i
$392$	898705.	−	1.18223e6i	0.0149197	−	0.0196265i
$393$	6.78742e6	+	6.24093e7i	0.111822	+	1.02819i
$394$	−4.16256e7	−	1.15573e7i	−0.680569	−	0.188959i
$395$	−16509.5	+	24349.6i	−0.000267881	+	0.000395095i
$396$	−8.32213e6	−	1.38315e7i	−0.134014	−	0.222732i
$397$	4.30266e7	−	2.33284e6i	0.687647	−	0.0372831i	0.292995	−	0.956114i	$-0.405348\pi$
$397$	4.30266e7	−	2.33284e6i	0.687647	−	0.0372831i	0.394652	+	0.918831i	$0.370865\pi$
$398$	−2.15094e7	−	2.27072e7i	−0.341177	−	0.360176i
$399$	−9.63184e6	+	7.32193e6i	−0.151632	+	0.115268i
$400$	4.64209e7	−	1.02180e7i	0.725326	−	0.159656i
$401$	7.40951e7	−	6.29369e7i	1.14910	−	0.976051i	0.149177	−	0.988811i	$-0.452338\pi$
$401$	7.40951e7	−	6.29369e7i	1.14910	−	0.976051i	0.999919	+	0.0127600i	$0.00406174\pi$
$402$	704474.	−	1.29933e7i	0.0108439	−	0.200005i
$403$	−9.72602e6	−	1.83452e7i	−0.148600	−	0.280290i
$404$	1.70169e7	−	7.73084e7i	0.258069	−	1.17242i
$405$	3.26441e7	−	1.51028e7i	0.491405	−	0.227348i
$406$	−5.68293e7	+	9.44511e7i	−0.849170	+	1.41133i
$407$	−7.18070e7	+	1.35442e8i	−1.06508	+	2.00896i
$408$	4.22478e6	+	3.58856e6i	0.0622047	+	0.0528372i
$409$	−5.55750e7	+	5.86698e7i	−0.812287	+	0.857521i	−0.992005	−	0.126197i	$-0.959723\pi$
$409$	−5.55750e7	+	5.86698e7i	−0.812287	+	0.857521i	0.179718	+	0.983718i	$0.442481\pi$
$410$	2.70940e6	−	2.49126e7i	0.0393117	−	0.361465i
$411$	−1.43395e7	+	3.59895e7i	−0.206543	+	0.518383i
$412$			4.81818e7i			0.688955i
$413$	1.83798e7	+	4.41972e7i	0.260910	+	0.627400i
$414$	−454138.			−0.00640010
$415$	−3.07933e7	−	1.22692e7i	−0.430836	−	0.171661i
$416$	−1.45249e8	−	1.57968e7i	−2.01760	−	0.219427i
$417$	−8.08553e7	−	7.65902e7i	−1.11506	−	1.05625i
$418$	−3.04981e7	+	3.59051e7i	−0.417584	+	0.491618i
$419$	3.35946e7	+	1.78107e7i	0.456696	+	0.242125i	0.680842	−	0.732431i	$-0.261614\pi$
$419$	3.35946e7	+	1.78107e7i	0.456696	+	0.242125i	−0.224145	+	0.974556i	$0.571959\pi$
$420$	2.29462e7	+	1.38063e7i	0.309715	+	0.186350i
$421$	−1.61228e7	−	3.48489e7i	−0.216070	−	0.467028i	0.768985	−	0.639267i	$-0.220762\pi$
$421$	−1.61228e7	−	3.48489e7i	−0.216070	−	0.467028i	−0.985055	+	0.172239i	$0.944900\pi$
$422$	−1.65872e8	−	3.65112e7i	−2.20717	−	0.485835i
$423$	−1.26290e7	+	6.69549e6i	−0.166859	+	0.0884629i
$424$	2.15136e6	+	116643.i	0.0282238	+	0.00153025i
$425$	−6.35557e7	−	7.48236e7i	−0.827919	−	0.974702i
$426$	1.97107e7	+	8.95468e7i	0.254961	+	1.15830i
$427$	−1.43658e7	−	1.88978e7i	−0.184521	−	0.242733i
$428$	−1.71213e7	+	1.62181e7i	−0.218376	+	0.206856i
$429$	−1.12667e7	−	2.07802e8i	−0.142700	−	2.63195i
$430$	8.03192e7	−	4.83265e7i	1.01022	−	0.607827i
$431$	−8.08601e7	−	5.48245e7i	−1.00996	−	0.684767i	−0.0603383	−	0.998178i	$-0.519218\pi$
$431$	−8.08601e7	−	5.48245e7i	−1.00996	−	0.684767i	−0.949618	+	0.313411i	$0.898528\pi$
$432$	1.90679e7	−	6.86763e7i	0.236511	−	0.851836i
$433$	−2.73632e7	+	2.97593e6i	−0.337057	+	0.0366572i	−0.275083	−	0.961421i	$-0.588705\pi$
$433$	−2.73632e7	+	2.97593e6i	−0.337057	+	0.0366572i	−0.0619746	+	0.998078i	$0.519740\pi$
$434$	1.40322e7	+	1.06670e7i	0.171655	+	0.130489i
$435$	6.54714e7	+	3.02903e7i	0.795397	+	0.367990i
$436$	8.94487e7	−	6.06477e7i	1.07923	−	0.731737i
$437$	214941.	+	637923.i	0.00257558	+	0.00764405i
$438$	−1.72488e7	−	1.05213e8i	−0.205275	−	1.25212i
$439$	2.33574e6	−	1.42474e7i	0.0276078	−	0.168400i	−0.969424	−	0.245392i	$-0.921083\pi$
$439$	2.33574e6	−	1.42474e7i	0.0276078	−	0.168400i	0.997032	+	0.0769920i	$0.0245316\pi$
$440$	3.07585e6	+	1.03637e6i	0.0361083	+	0.0121663i
$441$	−1.80028e6	−	6.48403e6i	−0.0209906	−	0.0756013i
$442$	1.08103e8	+	2.71318e8i	1.25190	+	3.14204i
$443$	−5.67345e7	+	2.26051e7i	−0.652583	+	0.260013i	−0.672847	−	0.739782i	$-0.734929\pi$
$443$	−5.67345e7	+	2.26051e7i	−0.652583	+	0.260013i	0.0202638	+	0.999795i	$0.493549\pi$
$444$	−1.22618e8	+	3.40448e7i	−1.40090	+	0.388957i
$445$	4.37550e6	−	1.29860e7i	0.0496533	−	0.147366i
$446$	−1.79753e8	−	2.94690e7i	−2.02615	−	0.332170i
$447$	−5.35666e7	+	8.78181e6i	−0.599752	+	0.0983244i
$448$	6.15569e7	−	2.07409e7i	0.684609	−	0.230672i
$449$	−8.57158e7	−	1.26421e8i	−0.946939	−	1.39663i	−0.917795	−	0.397055i	$-0.870032\pi$
$449$	−8.57158e7	−	1.26421e8i	−0.946939	−	1.39663i	−0.0291445	−	0.999575i	$-0.509278\pi$
$450$	−6.10710e6	+	1.32003e7i	−0.0670190	+	0.144859i
$451$	5.08124e7	−	6.68426e7i	0.553911	−	0.728657i
$452$	−1.21030e7	−	1.11285e8i	−0.131062	−	1.20509i
$453$	1.68739e8	+	4.68502e7i	1.81519	+	0.503985i
$454$	−1.23287e8	+	1.81834e8i	−1.31749	+	1.94316i
$455$	2.26435e7	+	3.76338e7i	0.240386	+	0.399525i
$456$	−1.21551e6	+	65903.2i	−0.0128193	+	0.000695043i
$457$	7.42158e7	+	7.83486e7i	0.777585	+	0.820886i	0.987629	−	0.156806i	$-0.0501196\pi$
$457$	7.42158e7	+	7.83486e7i	0.777585	+	0.820886i	−0.210045	+	0.977692i	$0.567361\pi$
$458$	−4.60642e7	+	3.50171e7i	−0.479476	+	0.364488i
$459$	−1.43768e8	+	3.16457e7i	−1.48670	+	0.327248i
$460$	1.13559e6	−	964582.i	0.0116667	−	0.00990982i
$461$	914273.	−	1.68628e7i	0.00933196	−	0.172118i	−0.990152	−	0.139996i	$-0.955291\pi$
$461$	914273.	−	1.68628e7i	0.00933196	−	0.172118i	0.999484	−	0.0321215i	$-0.0102264\pi$
$462$	8.27489e7	+	1.56081e8i	0.839143	+	1.58279i
$463$	1.66711e7	−	7.57375e7i	0.167966	−	0.763076i	−0.815026	−	0.579425i	$-0.803277\pi$
$463$	1.66711e7	−	7.57375e7i	0.167966	−	0.763076i	0.982991	−	0.183651i	$-0.0587918\pi$
$464$	1.49058e8	−	6.89613e7i	1.49211	−	0.690322i
$465$	5.94711e6	−	9.88418e6i	0.0591490	−	0.0983064i
$466$	1.23102e8	−	2.32195e8i	1.21648	−	2.29453i
$467$	9.43078e7	+	8.01057e7i	0.925970	+	0.786526i	0.977235	−	0.212159i	$-0.0680496\pi$
$467$	9.43078e7	+	8.01057e7i	0.925970	+	0.786526i	−0.0512654	+	0.998685i	$0.516325\pi$
$468$	1.51135e7	−	1.59551e7i	0.147444	−	0.155655i
$469$	−994852.	+	9.14751e6i	−0.00964361	+	0.0886716i
$470$	3.41764e7	−	8.57764e7i	0.329180	−	0.826179i
$471$			1.09111e8i			1.04425i
$472$	−964888.	+	4.71833e6i	−0.00917595	+	0.0448706i
$473$	3.14072e8			2.96787
$474$	−149659.	−	59629.8i	−0.00140530	−	0.000559923i
$475$	2.14328e7	+	2.33095e6i	0.199985	+	0.0217497i
$476$	−9.14202e7	−	8.65978e7i	−0.847659	−	0.802945i
$477$	6.32044e6	−	7.44099e6i	0.0582361	−	0.0685608i
$478$	8.97683e7	+	4.75921e7i	0.821938	+	0.435764i
$479$	−7.52882e7	−	4.52994e7i	−0.685047	−	0.412179i	0.130047	−	0.991508i	$-0.458487\pi$
$479$	−7.52882e7	−	4.52994e7i	−0.685047	−	0.412179i	−0.815094	+	0.579329i	$0.803315\pi$
$480$	−3.40819e7	−	7.36668e7i	−0.308177	−	0.666114i
$481$	−2.03833e8	−	4.48669e7i	−1.83163	−	0.403173i
$482$	−1.05875e8	+	5.61315e7i	−0.945483	+	0.501263i
$483$	2.52063e6	+	136665.i	0.0223701	+	0.00121287i
$484$	1.50417e8	+	1.77085e8i	1.32667	+	1.56187i
$485$	−541986.	−	2.46227e6i	−0.00475076	−	0.0215829i
$486$	2.86492e7	+	3.76874e7i	0.249576	+	0.328312i
$487$	−1.12404e8	+	1.06475e8i	−0.973188	+	0.921853i	−0.996964	−	0.0778648i	$-0.975190\pi$
$487$	−1.12404e8	+	1.06475e8i	−0.973188	+	0.921853i	0.0237760	+	0.999717i	$0.492431\pi$
$488$	−129303.	−	2.38486e6i	−0.00111263	−	0.0205212i
$489$	3.32956e7	−	2.00333e7i	0.284747	−	0.171327i
$490$	3.59785e7	+	2.43940e7i	0.305812	+	0.207346i
$491$	−3.39440e7	+	1.22255e8i	−0.286760	+	1.03282i	0.670101	+	0.742270i	$0.266251\pi$
$491$	−3.39440e7	+	1.22255e8i	−0.286760	+	1.03282i	−0.956861	+	0.290546i	$0.906163\pi$
$492$	6.92907e7	−	7.53581e6i	0.581808	−	0.0632754i
$493$	−2.70046e8	−	2.05284e8i	−2.25371	−	1.71322i
$494$	−5.82100e7	−	2.69308e7i	−0.482855	−	0.223392i
$495$	1.21735e7	−	8.25385e6i	0.100369	−	0.0680520i
$496$	−8.38562e6	−	2.48876e7i	−0.0687211	−	0.203957i
$497$	−1.04895e7	−	6.39832e7i	−0.0854448	−	0.521190i
$498$	2.93667e7	−	1.79129e8i	0.237776	−	1.45037i
$499$	6.75184e7	+	2.27496e7i	0.543401	+	0.183093i	0.577597	−	0.816322i	$-0.303991\pi$
$499$	6.75184e7	+	2.27496e7i	0.543401	+	0.183093i	−0.0341962	+	0.999415i	$0.510887\pi$
$500$	−2.93851e7	−	1.05836e8i	−0.235081	−	0.846685i
$501$	−2.73704e7	−	6.86945e7i	−0.217654	−	0.546271i
$502$	−2.41340e8	+	9.61587e7i	−1.90774	+	0.760112i
$503$	−1.86222e8	+	5.17043e7i	−1.46328	+	0.406277i	−0.905726	−	0.423864i	$-0.860673\pi$
$503$	−1.86222e8	+	5.17043e7i	−1.46328	+	0.406277i	−0.557553	+	0.830142i	$0.688259\pi$
$504$	−185425.	+	550321.i	−0.00144836	+	0.00429858i
$505$	7.11754e7	+	1.16686e7i	0.552657	+	0.0906036i
$506$	9.69955e6	−	1.59016e6i	0.0748687	−	0.0122741i
$507$	1.36302e8	−	4.59254e7i	1.04587	−	0.352394i
$508$	−1.19242e8	−	1.75869e8i	−0.909574	−	1.34152i
$509$	−5.35953e7	+	1.15844e8i	−0.406419	+	0.878460i	0.591001	+	0.806671i	$0.298733\pi$
$509$	−5.35953e7	+	1.15844e8i	−0.406419	+	0.878460i	−0.997420	+	0.0717889i	$0.977129\pi$
$510$	−9.81920e7	+	1.29169e8i	−0.740228	+	0.973754i
$511$	8.15136e6	+	7.49505e7i	0.0610896	+	0.561710i
$512$	−1.83786e8	−	5.10280e7i	−1.36931	−	0.380188i
$513$	1.81420e7	−	2.67574e7i	0.134379	−	0.198195i
$514$	8.03217e7	+	1.33496e8i	0.591485	+	0.983056i
$515$	−4.38363e7	+	2.37673e6i	−0.320931	+	0.0174004i
$516$	1.79294e8	+	1.89279e8i	1.30502	+	1.37769i
$517$	2.46289e8	−	1.87224e8i	1.78227	−	1.35484i
$518$	1.73031e8	−	3.80871e7i	1.24490	−	0.274024i
$519$	−1.05084e8	+	8.92592e7i	−0.751683	+	0.638485i
$520$	−239238.	+	4.41249e6i	−0.00170145	+	0.0313815i
$521$	1.00678e8	+	1.89898e8i	0.711902	+	1.34279i	0.930253	+	0.366919i	$0.119587\pi$
$521$	1.00678e8	+	1.89898e8i	0.711902	+	1.34279i	−0.218351	+	0.975870i	$0.570068\pi$
$522$	−1.08035e7	+	4.90806e7i	−0.0759542	+	0.345063i
$523$	1.87924e8	−	8.69427e7i	1.31364	−	0.607754i	0.367052	−	0.930201i	$-0.380367\pi$
$523$	1.87924e8	−	8.69427e7i	1.31364	−	0.607754i	0.946588	+	0.322446i	$0.104505\pi$
$524$	7.39742e7	−	1.22946e8i	0.514146	−	0.854517i
$525$	3.78691e7	−	7.14286e7i	0.261702	−	0.493622i
$526$	8.95262e7	+	7.60442e7i	0.615167	+	0.522527i
$527$	−3.73024e7	+	3.93796e7i	−0.254862	+	0.269054i
$528$	2.84585e7	−	2.61672e8i	0.193335	−	1.77768i
$529$	−5.47417e7	+	1.37391e8i	−0.369787	+	0.928095i
$530$			6.30651e7i			0.423605i
$531$	1.43750e7	+	1.64198e7i	0.0960119	+	0.109669i
$532$	2.76534e7			0.183660
$533$	1.06194e8	+	4.23115e7i	0.701323	+	0.279433i
$534$	7.46015e7	+	8.11340e6i	0.489919	+	0.0532819i
$535$	−1.56000e7	−	1.47771e7i	−0.101874	−	0.0965000i
$536$	−599338.	+	705595.i	−0.00389204	+	0.00458206i
$537$	−1.94526e8	−	1.03131e8i	−1.25619	−	0.665989i
$538$	−7.66977e7	−	4.61475e7i	−0.492533	−	0.296347i
$539$	6.11544e7	+	1.32183e8i	0.390537	+	0.844131i
$540$	−6.98811e7	−	1.53820e7i	−0.443791	−	0.0976858i
$541$	9.29603e7	−	4.92844e7i	0.587091	−	0.311256i	−0.148253	−	0.988949i	$-0.547365\pi$
$541$	9.29603e7	−	4.92844e7i	0.587091	−	0.311256i	0.735345	+	0.677693i	$0.237020\pi$
$542$	−6.38949e7	−	3.46428e6i	−0.401299	−	0.0217578i
$543$	−1.67705e8	−	1.97437e8i	−1.04748	−	1.23319i
$544$	8.20491e7	+	3.72753e8i	0.509656	+	2.31539i
$545$	5.95903e7	+	7.83897e7i	0.368117	+	0.484250i
$546$	−1.74613e8	+	1.65402e8i	−1.07275	+	1.01616i
$547$	−1.01695e6	−	1.87566e7i	−0.00621353	−	0.114602i	−0.999995	−	0.00325124i	$-0.998965\pi$
$547$	−1.01695e6	−	1.87566e7i	−0.00621353	−	0.114602i	0.993781	−	0.111351i	$-0.0355177\pi$
$548$	7.58722e7	−	4.56508e7i	0.461043	−	0.277400i
$549$	−8.95779e6	−	6.07353e6i	−0.0541357	−	0.0367049i
$550$	8.42158e7	−	3.03318e8i	0.506180	−	1.82310i
$551$	7.40562e7	−	8.05410e6i	0.442697	−	0.0481462i
$552$	202191.	+	153702.i	0.00120211	+	0.000913823i
$553$	103391.	+	47833.8i	0.000611374	+	0.000282852i
$554$	3.42838e7	−	2.32450e7i	0.201632	−	0.136710i
$555$	−3.70229e7	−	1.09880e8i	−0.216567	−	0.642746i
$556$	4.11820e7	+	2.51199e8i	0.239598	+	1.46148i
$557$	3.65666e7	−	2.23046e8i	0.211602	−	1.29071i	−0.640752	−	0.767748i	$-0.721377\pi$
$557$	3.65666e7	−	2.23046e8i	0.211602	−	1.29071i	0.852354	−	0.522965i	$-0.175174\pi$
$558$	7.61547e6	+	2.56595e6i	0.0438323	+	0.0147688i
$559$	1.14394e8	+	4.12011e8i	0.654891	+	2.35870i
$560$	2.05616e7	+	5.16057e7i	0.117083	+	0.293855i
$561$	−5.05031e8	+	2.01223e8i	−2.86042	+	1.13970i
$562$	7.47276e7	−	2.07480e7i	0.420990	−	0.116887i
$563$	5.69961e7	−	1.69159e8i	0.319389	−	0.947913i	−0.660922	−	0.750455i	$-0.729835\pi$
$563$	5.69961e7	−	1.69159e8i	0.319389	−	0.947913i	0.980311	−	0.197459i	$-0.0632689\pi$
$564$	2.53431e8	+	4.15479e7i	1.41261	+	0.231586i
$565$	1.00651e8	−	1.65009e7i	0.558050	−	0.0914877i
$566$	1.58407e8	−	5.33736e7i	0.873627	−	0.294359i
$567$	−7.81635e7	−	1.15282e8i	−0.428800	−	0.632432i
$568$	2.73912e6	−	5.92051e6i	0.0149474	−	0.0323083i
$569$	−7.43850e7	+	9.78517e7i	−0.403783	+	0.531168i	−0.952378	−	0.304921i	$-0.901370\pi$
$569$	−7.43850e7	+	9.78517e7i	−0.403783	+	0.531168i	0.548594	+	0.836089i	$0.315163\pi$
$570$	−3.85246e6	−	3.54228e7i	−0.0208024	−	0.191275i
$571$	−2.57875e8	−	7.15988e7i	−1.38517	−	0.384589i	−0.506587	−	0.862189i	$-0.669093\pi$
$571$	−2.57875e8	−	7.15988e7i	−1.38517	−	0.384589i	−0.878578	+	0.477599i	$0.841507\pi$
$572$	−2.66930e8	+	3.93692e8i	−1.42629	+	2.10363i
$573$	1.11099e8	+	1.84647e8i	0.590533	+	0.981474i
$574$	−9.68967e7	+	5.25358e6i	−0.512358	+	0.0277792i
$575$	−3.09337e6	−	3.26563e6i	−0.0162715	−	0.0171776i
$576$	2.35764e7	−	1.79223e7i	0.123370	−	0.0937834i
$577$	3.18496e8	−	7.01063e7i	1.65797	−	0.364947i	0.715338	−	0.698778i	$-0.246273\pi$
$577$	3.18496e8	−	7.01063e7i	1.65797	−	0.364947i	0.942633	+	0.333831i	$0.108342\pi$
$578$	3.71699e8	−	3.15724e8i	1.92490	−	1.63502i
$579$	−5.23450e6	+	9.65447e7i	−0.0269674	+	0.497385i
$580$	−7.72319e7	−	1.45675e8i	−0.395834	−	0.746622i
$581$	−2.75934e7	+	1.25358e8i	−0.140694	+	0.639180i
$582$	1.25304e7	−	5.79720e6i	0.0635620	−	0.0294069i
$583$	−1.08938e8	+	1.81057e8i	−0.549762	+	0.913712i
$584$	−3.55308e6	+	6.70181e6i	−0.0178388	+	0.0336476i
$585$	1.52617e7	+	1.29634e7i	0.0762315	+	0.0647516i
$586$	1.91880e8	−	2.02565e8i	0.953535	−	1.00664i
$587$	−1.23178e7	+	1.13260e8i	−0.0609002	+	0.559968i	0.923447	+	0.383727i	$0.125360\pi$
$587$	−1.23178e7	+	1.13260e8i	−0.0609002	+	0.559968i	−0.984347	+	0.176242i	$0.943606\pi$
$588$	−4.47503e7	+	1.12315e8i	−0.220122	+	0.552465i
$589$		−	1.19118e7i		−	0.0582951i
$590$	−1.39437e8	−	2.07248e7i	−0.678926	−	0.100910i
$591$	1.09479e8			0.530357
$592$	−2.45232e8	−	9.77092e7i	−1.18198	−	0.470945i
$593$	−9.92700e7	−	1.07963e7i	−0.476052	−	0.0517737i	−0.133052	−	0.991109i	$-0.542478\pi$
$593$	−9.92700e7	−	1.07963e7i	−0.476052	−	0.0517737i	−0.343000	+	0.939335i	$0.611443\pi$
$594$	−3.42691e8	−	3.24614e8i	−1.63510	−	1.54885i
$595$	7.42780e7	−	8.74468e7i	0.352622	−	0.415138i
$596$	1.09615e8	+	5.81141e7i	0.517762	+	0.274500i
$597$	6.79177e7	+	4.08647e7i	0.319198	+	0.192055i
$598$	5.61890e6	+	1.21450e7i	0.0262753	+	0.0567931i
$599$	1.36976e8	+	3.01507e7i	0.637330	+	0.140287i	0.521870	−	0.853025i	$-0.325235\pi$
$599$	1.36976e8	+	3.01507e7i	0.637330	+	0.140287i	0.115460	+	0.993312i	$0.463166\pi$
$600$	7.18661e6	−	3.81010e6i	0.0332713	−	0.0176394i
$601$	−9.49834e7	−	5.14985e6i	−0.437547	−	0.0237231i	−0.165950	−	0.986134i	$-0.553069\pi$
$601$	−9.49834e7	−	5.14985e6i	−0.437547	−	0.0237231i	−0.271597	+	0.962411i	$0.587552\pi$
$602$	−2.34990e8	−	2.76651e8i	−1.07711	−	1.26807i
$603$	901822.	+	4.09702e6i	0.00411309	+	0.0186860i
$604$	−2.42229e8	−	3.18646e8i	−1.09930	−	1.44610i
$605$	−1.53694e8	+	1.45587e8i	−0.694050	+	0.657439i
$606$	2.13832e7	+	3.94390e8i	0.0960849	+	1.77218i
$607$	2.21199e8	−	1.33091e8i	0.989046	−	0.595089i	0.0734965	−	0.997295i	$-0.476584\pi$
$607$	2.21199e8	−	1.33091e8i	0.989046	−	0.595089i	0.915549	+	0.402207i	$0.131757\pi$
$608$	−6.93749e7	−	4.70374e7i	−0.308668	−	0.209282i
$609$	7.47331e7	−	2.69164e8i	0.330873	−	1.19170i
$610$	6.95002e7	−	7.55860e6i	0.306194	−	0.0333006i
$611$	3.35313e8	+	2.54898e8i	1.47003	+	1.11749i
$612$	−5.21046e7	−	2.41062e7i	−0.227312	−	0.105166i
$613$	9.21279e7	−	6.24643e7i	0.399954	−	0.271175i	−0.344584	−	0.938755i	$-0.611980\pi$
$613$	9.21279e7	−	6.24643e7i	0.399954	−	0.271175i	0.744538	+	0.667580i	$0.232670\pi$
$614$	−8.88167e6	−	2.63598e7i	−0.0383698	−	0.113877i
$615$	1.02742e7	+	6.26697e7i	0.0441694	+	0.269421i
$616$	2.03339e6	−	1.24031e7i	0.00869917	−	0.0530626i
$617$	3.23742e8	+	1.09081e8i	1.37830	+	0.464402i	0.908320	−	0.418276i	$-0.137366\pi$
$617$	3.23742e8	+	1.09081e8i	1.37830	+	0.464402i	0.469977	+	0.882678i	$0.344262\pi$
$618$	−6.43154e7	−	2.31643e8i	−0.272489	−	0.981418i
$619$	6.47185e7	+	1.62431e8i	0.272871	+	0.684853i	0.999999	−	0.00164844i	$-0.000524714\pi$
$619$	6.47185e7	+	1.62431e8i	0.272871	+	0.684853i	−0.727128	+	0.686502i	$0.759145\pi$
$620$	−2.44929e7	+	9.75886e6i	−0.102770	+	0.0409472i
$621$	−6.49910e6	+	1.80446e6i	−0.0271380	+	0.00753483i
$622$	−1.76167e8	+	5.22845e8i	−0.732071	+	2.17271i
$623$	−5.23652e7	−	8.58483e6i	−0.216560	−	0.0355032i
$624$	3.53636e8	−	5.79757e7i	1.45547	−	0.238612i
$625$	−8.28817e7	+	2.79261e7i	−0.339483	+	0.114385i
$626$	−4.62352e7	−	6.81918e7i	−0.188473	−	0.277977i
$627$	5.01289e7	−	1.08352e8i	0.203369	−	0.439576i
$628$	1.50922e8	−	1.98535e8i	0.609360	−	0.801599i
$629$	5.89491e7	+	5.42028e8i	0.236878	+	2.17806i
$630$	−1.63787e7	−	4.54753e6i	−0.0655026	−	0.0181867i
$631$	−6.47033e7	+	9.54302e7i	−0.257536	+	0.379838i	−0.934373	−	0.356295i	$-0.884040\pi$
$631$	−6.47033e7	+	9.54302e7i	−0.257536	+	0.379838i	0.676837	+	0.736133i	$0.263350\pi$
$632$	5909.16	+	9821.10i	2.34085e−5	+	3.89053e-5i
$633$	4.29789e8	−	2.33025e7i	1.69451	−	0.0918736i
$634$	−1.23642e8	−	1.30527e8i	−0.485173	−	0.512191i
$635$	1.54125e8	−	1.17163e8i	0.601939	−	0.457582i
$636$	−1.71305e8	+	3.77072e7i	−0.665886	+	0.146573i
$637$	−1.51129e8	+	1.28370e8i	−0.584693	+	0.496643i
$638$	5.88866e7	−	1.08610e9i	0.226754	−	4.18223i
$639$	−1.38463e7	−	2.61170e7i	−0.0530680	−	0.100097i
$640$	−2.48413e6	+	1.12855e7i	−0.00947621	+	0.0430509i
$641$	−4.39473e8	+	2.03322e8i	−1.66862	+	0.771988i	−0.669037	+	0.743229i	$0.733293\pi$
$641$	−4.39473e8	+	2.03322e8i	−1.66862	+	0.771988i	−0.999586	+	0.0287590i	$0.990844\pi$
$642$	6.06650e7	−	1.00826e8i	0.229262	−	0.381037i
$643$	9.66264e7	−	1.82257e8i	0.363465	−	0.685568i	−0.632572	−	0.774501i	$-0.718001\pi$
$643$	9.66264e7	−	1.82257e8i	0.363465	−	0.685568i	0.996038	+	0.0889330i	$0.0283457\pi$
$644$	−4.39742e6	−	3.73520e6i	−0.0164642	−	0.0139848i
$645$	−1.63363e8	+	1.72461e8i	−0.608801	+	0.642704i
$646$	−1.81152e7	+	1.66567e8i	−0.0671965	+	0.617861i
$647$	−6.52358e7	+	1.63729e8i	−0.240865	+	0.604525i	−0.998860	−	0.0477353i	$-0.984800\pi$
$647$	−6.52358e7	+	1.63729e8i	−0.240865	+	0.604525i	0.757995	+	0.652260i	$0.226179\pi$
$648$		−	1.40135e7i		−	0.0515018i
$649$	−3.64518e8	−	3.00363e8i	−1.33347	−	1.09878i
$650$	4.28577e8			1.56059
$651$	−4.14965e7	−	1.65337e7i	−0.150407	−	0.0599277i
$652$	−8.82933e7	−	9.60247e6i	−0.318555	−	0.0346450i
$653$	−1.03388e8	−	9.79341e7i	−0.371304	−	0.351718i	0.479182	−	0.877716i	$-0.340933\pi$
$653$	−1.03388e8	−	9.79341e7i	−0.371304	−	0.351718i	−0.850486	+	0.525998i	$0.823692\pi$
$654$	−3.49086e8	+	4.10976e8i	−1.24796	+	1.46921i
$655$	1.15507e8	+	6.12377e7i	0.411039	+	0.217919i
$656$	1.23887e8	+	7.45406e7i	0.438849	+	0.264047i
$657$	1.44327e7	+	3.11958e7i	0.0508923	+	0.110002i
$658$	−3.49191e8	−	7.68628e7i	−1.22570	−	0.269798i
$659$	3.60381e7	−	1.91062e7i	0.125923	−	0.0667603i	−0.404256	−	0.914646i	$-0.632469\pi$
$659$	3.60381e7	−	1.91062e7i	0.125923	−	0.0667603i	0.530179	+	0.847886i	$0.322125\pi$
$660$	−2.63860e8	−	1.43061e7i	−0.917786	−	0.0497609i
$661$	−1.38681e8	−	1.63268e8i	−0.480190	−	0.565323i	0.467714	−	0.883880i	$-0.345078\pi$
$661$	−1.38681e8	−	1.63268e8i	−0.480190	−	0.565323i	−0.947904	+	0.318557i	$0.896802\pi$
$662$	−3.65280e7	−	1.65948e8i	−0.125908	−	0.572004i
$663$	−4.47919e8	−	5.89227e8i	−1.53695	−	2.02182i
$664$	−9.37587e6	+	8.88130e6i	−0.0320264	+	0.0303370i
$665$	1.36410e6	+	2.51594e7i	0.00463854	+	0.0855529i
$666$	6.92139e7	−	4.16446e7i	0.234299	−	0.140973i
$667$	−1.28642e7	−	8.72217e6i	−0.0433517	−	0.0293932i
$668$	−4.52158e7	+	1.62852e8i	−0.151691	+	0.546342i
$669$	4.58909e8	−	4.99094e7i	1.53267	−	0.166688i
$670$	−2.15730e7	−	1.63994e7i	−0.0717277	−	0.0545259i
$671$	2.12588e8	+	9.83538e7i	0.703675	+	0.325555i
$672$	−2.60154e8	+	1.76389e8i	−0.857281	+	0.581251i
$673$	7.72978e7	+	2.29412e8i	0.253584	+	0.752610i	0.996528	+	0.0832569i	$0.0265322\pi$
$673$	7.72978e7	+	2.29412e8i	0.253584	+	0.752610i	−0.742944	+	0.669353i	$0.766571\pi$
$674$	1.13556e7	+	6.92662e7i	0.0370878	+	0.226226i
$675$	−3.49479e7	+	2.13173e8i	−0.113635	+	0.693140i
$676$	−3.11533e8	−	1.04968e8i	−1.00847	−	0.339794i
$677$	1.54431e7	+	5.56209e7i	0.0497700	+	0.179255i	0.984257	−	0.176741i	$-0.0565554\pi$
$677$	1.54431e7	+	5.56209e7i	0.0497700	+	0.179255i	−0.934487	+	0.355996i	$0.884142\pi$
$678$	2.06736e8	+	5.18868e8i	0.663325	+	1.66482i
$679$	−9.06962e6	+	3.61367e6i	−0.0289721	+	0.0115435i
$680$	1.11230e7	−	3.08829e6i	0.0353749	−	0.00982180i
$681$	1.77768e8	−	5.27597e8i	0.562876	−	1.67056i
$682$	−1.71637e8	−	2.81385e7i	−0.541076	−	0.0887049i
$683$	2.36683e8	−	3.88022e7i	0.742855	−	0.121785i	0.221543	−	0.975151i	$-0.428891\pi$
$683$	2.36683e8	−	3.88022e7i	0.742855	−	0.121785i	0.521313	+	0.853366i	$0.325442\pi$
$684$	1.19477e7	−	4.02564e6i	0.0373349	−	0.0125796i
$685$	4.52762e7	+	6.67774e7i	0.140864	+	0.207758i
$686$	2.01978e8	−	4.36569e8i	0.625651	−	1.35232i
$687$	8.87411e7	−	1.16737e8i	0.273687	−	0.360029i
$688$	5.84737e7	+	5.37656e8i	0.179554	+	1.65097i
$689$	−2.77196e8	−	7.69630e7i	−0.847479	−	0.235301i
$690$	−4.17201e6	+	6.15326e6i	−0.0126998	+	0.0187309i
$691$	−2.63644e8	−	4.38180e8i	−0.799069	−	1.32806i	−0.941075	−	0.338197i	$-0.890183\pi$
$691$	−2.63644e8	−	4.38180e8i	−0.799069	−	1.32806i	0.142007	−	0.989866i	$-0.454644\pi$
$692$	3.14670e8	−	1.70609e7i	0.949592	−	0.0514854i
$693$	−3.91672e7	−	4.13483e7i	−0.117685	−	0.124239i
$694$	1.70133e8	−	1.29332e8i	0.508992	−	0.386926i
$695$	−2.26512e8	+	4.98591e7i	−0.674742	+	0.148522i
$696$	2.14211e7	−	1.81953e7i	0.0635353	−	0.0539673i
$697$	1.61671e7	−	2.98184e8i	0.0477456	−	0.880616i
$698$	−9.87114e7	−	1.86189e8i	−0.290269	−	0.547506i
$699$	−1.43174e8	+	6.50445e8i	−0.419210	+	1.90449i
$700$	−1.67705e8	+	7.75886e7i	−0.488936	+	0.226206i
$701$	−1.72452e8	+	2.86617e8i	−0.500626	+	0.832047i	−0.999398	−	0.0346860i	$-0.988957\pi$
$701$	−1.72452e8	+	2.86617e8i	−0.500626	+	0.832047i	0.498772	+	0.866733i	$0.333784\pi$
$702$	3.01023e8	−	5.67789e8i	0.870138	−	1.64125i
$703$	−9.12563e7	−	7.75138e7i	−0.262662	−	0.223107i
$704$	−4.40793e8	+	4.65340e8i	−1.26333	+	1.33368i
$705$	−2.52994e7	+	2.32624e8i	−0.0722009	+	0.663876i
$706$	−7.42468e7	+	1.86345e8i	−0.210991	+	0.529547i
$707$		−	2.79296e8i		−	0.790325i
$708$	−2.70755e7	−	3.91149e8i	−0.0762916	−	1.10215i
$709$	−1.14471e8			−0.321187			−0.160594	−	0.987021i	$-0.551341\pi$
$709$	−1.14471e8			−0.321187			−0.160594	+	0.987021i	$0.551341\pi$
$710$	1.77387e8	+	7.06772e7i	0.495616	+	0.197472i
$711$	51633.6	+	5615.49i	0.000143656	+	1.56235e-5i
$712$	−3.87603e6	−	3.67157e6i	−0.0107386	−	0.0101721i
$713$	−1.60895e6	+	1.89421e6i	−0.00443890	+	0.00522587i
$714$	5.55115e8	+	2.94303e8i	1.52506	+	0.808538i
$715$	−3.71352e8	−	2.23435e8i	−1.01594	−	0.611271i
$716$	2.11302e8	+	4.56721e8i	0.575657	+	1.24426i
$717$	−2.51467e8	−	5.53521e7i	−0.682219	−	0.150168i
$718$	−1.08535e8	+	5.75415e7i	−0.293222	+	0.155456i
$719$	−3.27531e8	−	1.77582e7i	−0.881182	−	0.0477763i	−0.392007	−	0.919962i	$-0.628219\pi$
$719$	−3.27531e8	−	1.77582e7i	−0.881182	−	0.0477763i	−0.489174	+	0.872186i	$0.662702\pi$
$720$	1.63962e7	+	1.93030e7i	0.0439283	+	0.0517164i
$721$	3.65447e7	+	1.66024e8i	0.0975032	+	0.442961i
$722$	3.02422e8	+	3.97829e8i	0.803529	+	1.05702i
$723$	2.20476e8	−	2.08846e8i	0.583373	−	0.552600i
$724$	3.20549e7	+	5.91218e8i	0.0844655	+	1.55787i
$725$	−4.26519e8	+	2.56628e8i	−1.11924	+	0.673426i
$726$	−9.59543e8	−	6.50586e8i	−2.50758	−	1.70018i
$727$	9.71038e7	−	3.49736e8i	0.252716	−	0.910201i	−0.722943	−	0.690908i	$-0.757211\pi$
$727$	9.71038e7	−	3.49736e8i	0.252716	−	0.910201i	0.975659	−	0.219293i	$-0.0703751\pi$
$728$	1.70115e7	−	1.85011e6i	0.0440908	−	0.00479516i
$729$	2.51317e8	+	1.91046e8i	0.648694	+	0.493124i
$730$	−2.01512e8	−	9.32296e7i	−0.518004	−	0.239654i
$731$	9.24547e8	−	6.26858e8i	2.36688	−	1.60479i
$732$	6.20864e7	+	1.84266e8i	0.158294	+	0.469799i
$733$	−8.52302e7	−	5.19881e8i	−0.216412	−	1.32005i	−0.841821	−	0.539757i	$-0.818516\pi$
$733$	−8.52302e7	−	5.19881e8i	−0.216412	−	1.32005i	0.625409	−	0.780297i	$-0.284932\pi$
$734$	2.39616e7	−	1.46160e8i	0.0605938	−	0.369606i
$735$	−1.04393e8	−	3.51740e7i	−0.262911	−	0.0885849i
$736$	4.67850e6	+	1.68504e7i	0.0117347	+	0.0422647i
$737$	−3.36069e7	−	8.43470e7i	−0.0839511	−	0.210701i
$738$	−4.10995e7	+	1.63755e7i	−0.102251	+	0.0407405i
$739$	−4.88107e8	+	1.35522e8i	−1.20943	+	0.335798i	−0.812999	−	0.582265i	$-0.802166\pi$
$739$	−4.88107e8	+	1.35522e8i	−1.20943	+	0.335798i	−0.396435	+	0.918063i	$0.629753\pi$
$740$	−8.46201e7	+	2.51143e8i	−0.208823	+	0.619764i
$741$	1.60398e8	+	2.62960e7i	0.394226	+	0.0646301i
$742$	2.40993e8	−	3.95088e7i	0.589919	−	0.0967124i
$743$	4.33184e8	−	1.45957e8i	1.05610	−	0.355842i	0.262914	−	0.964819i	$-0.415316\pi$
$743$	4.33184e8	−	1.45957e8i	1.05610	−	0.355842i	0.793188	+	0.608977i	$0.208420\pi$
$744$	−2.52212e6	−	3.71985e6i	−0.00612417	−	0.00903248i
$745$	−4.74657e7	+	1.02595e8i	−0.114792	+	0.248118i
$746$	−3.94099e8	+	5.18429e8i	−0.949268	+	1.24874i
$747$	6.32723e6	+	5.81779e7i	0.0151793	+	0.139571i
$748$	1.19727e9	+	3.32419e8i	2.86079	+	0.794295i
$749$	−4.66952e7	+	6.88703e7i	−0.111129	+	0.163903i
$750$	2.82549e8	+	4.69600e8i	0.669746	+	1.11313i
$751$	2.04890e8	−	1.11088e7i	0.483728	−	0.0262269i	0.189337	−	0.981912i	$-0.439366\pi$
$751$	2.04890e8	−	1.11088e7i	0.483728	−	0.0262269i	0.294391	+	0.955685i	$0.404883\pi$
$752$	3.66361e8	+	3.86762e8i	0.861500	+	0.909474i
$753$	5.24123e8	−	3.98428e8i	1.22758	−	0.933179i
$754$	1.44623e9	−	3.18340e8i	3.37384	−	0.742639i
$755$	2.77959e8	−	2.36101e8i	0.645863	−	0.548601i
$756$	−1.50009e7	+	2.76676e8i	−0.0347178	+	0.640333i
$757$	−1.95816e8	−	3.69347e8i	−0.451398	−	0.851427i	−0.999883	−	0.0152668i	$-0.995140\pi$
$757$	−1.95816e8	−	3.69347e8i	−0.451398	−	0.851427i	0.548486	−	0.836160i	$-0.315205\pi$
$758$	−2.26937e8	+	1.03098e9i	−0.521072	+	2.36725i
$759$	−2.26068e7	+	1.04590e7i	−0.0517027	+	0.0239202i
$760$	−1.30696e6	+	2.17219e6i	−0.00297729	+	0.00494830i
$761$	−8.91031e7	+	1.68066e8i	−0.202180	+	0.381352i	−0.963781	−	0.266694i	$-0.914069\pi$
$761$	−8.91031e7	+	1.68066e8i	−0.202180	+	0.381352i	0.761601	+	0.648046i	$0.224414\pi$
$762$	8.08037e8	+	6.86352e8i	1.82627	+	1.55125i
$763$	2.62222e8	−	2.76824e8i	0.590330	−	0.623204i
$764$	5.32524e7	−	4.89648e8i	0.119415	−	1.09800i
$765$	1.93618e7	−	4.85945e7i	0.0432476	−	0.108543i
$766$			3.66562e8i			0.815570i
$767$	2.61259e8	−	5.87589e8i	0.579009	−	1.30223i
$768$	4.52235e8			0.998344
$769$	1.18087e8	+	4.70503e7i	0.259672	+	0.103463i	0.496341	−	0.868128i	$-0.334677\pi$
$769$	1.18087e8	+	4.70503e7i	0.259672	+	0.103463i	−0.236670	+	0.971590i	$0.576056\pi$
$770$	3.65743e8	+	3.97769e7i	0.801131	+	0.0871282i
$771$	−2.86641e8	−	2.71520e8i	−0.625424	−	0.592433i
$772$	1.43065e8	−	1.68429e8i	0.310943	−	0.366070i
$773$	−2.59275e8	−	1.37459e8i	−0.561335	−	0.297601i	0.163477	−	0.986547i	$-0.447729\pi$
$773$	−2.59275e8	−	1.37459e8i	−0.561335	−	0.297601i	−0.724813	+	0.688946i	$0.758074\pi$
$774$	−1.41801e8	−	8.53189e7i	−0.305814	−	0.184002i
$775$	3.34216e7	+	7.22397e7i	0.0717997	+	0.155192i
$776$	−959316.	−	211161.i	−0.00205294	−	0.000451887i
$777$	−3.96695e8	+	2.10314e8i	−0.845655	+	0.448338i
$778$	−7.85725e8	−	4.26008e7i	−1.66852	−	0.0904646i
$779$	4.24547e7	+	4.99816e7i	0.0898077	+	0.105730i
$780$	−7.73384e7	−	3.51352e8i	−0.162971	−	0.740387i
$781$	3.87181e8	+	5.09328e8i	0.812757	+	1.06916i
$782$	2.53792e7	−	2.40404e7i	0.0530710	−	0.0502715i
$783$	4.04096e7	+	7.45311e8i	0.0841781	+	1.55257i
$784$	−2.14897e8	+	1.29300e8i	−0.445947	+	0.268317i
$785$	1.88074e8	+	1.27517e8i	0.388793	+	0.263608i
$786$	−1.91531e8	+	6.89831e8i	−0.394431	+	1.42061i
$787$	−5.38061e8	+	5.85177e7i	−1.10384	+	0.120050i	−0.641848	−	0.766832i	$-0.721832\pi$
$787$	−5.38061e8	+	5.85177e7i	−1.10384	+	0.120050i	−0.461995	+	0.886882i	$0.652866\pi$
$788$	−1.99204e8	−	1.51431e8i	−0.407117	−	0.309482i
$789$	−2.70166e8	−	1.24992e8i	−0.550046	−	0.254479i
$790$	−277689.	+	188278.i	−0.000563218	+	0.000381871i
$791$	−1.26111e8	−	3.74284e8i	−0.254814	−	0.756262i
$792$	−927055.	−	5.65479e6i	−0.00186608	−	0.0113826i
$793$	−5.15932e7	+	3.14705e8i	−0.103460	+	0.631079i
$794$	4.65682e8	+	1.56907e8i	0.930311	+	0.313458i
$795$	−4.27566e7	−	1.53995e8i	−0.0850946	−	0.306483i
$796$	−6.70566e7	−	1.68299e8i	−0.132954	−	0.333690i
$797$	−7.40962e8	+	2.95226e8i	−1.46359	+	0.583150i	−0.959803	−	0.280675i	$-0.909442\pi$
$797$	−7.40962e8	+	2.95226e8i	−1.46359	+	0.583150i	−0.503792	+	0.863825i	$0.668062\pi$
$798$	−1.32949e8	+	3.69131e7i	−0.261623	+	0.0726393i
$799$	3.51329e8	−	1.04271e9i	0.688770	−	2.04420i
$800$	5.52702e8	+	9.06109e7i	1.07950	+	0.176974i
$801$	−2.38742e7	+	3.91397e6i	−0.0464548	+	0.00761588i
$802$	1.05065e9	−	3.54004e8i	2.03673	−	0.686255i
$803$	−4.17488e8	−	6.15749e8i	−0.806302	−	1.18921i
$804$	3.16474e7	−	6.84048e7i	0.0608934	−	0.131619i
$805$	3.18141e6	−	4.18507e6i	0.00609862	−	0.00802259i
$806$	−2.56023e7	−	2.35409e8i	−0.0488960	−	0.449591i
$807$	2.18571e8	+	6.06860e7i	0.415884	+	0.115470i
$808$	1.57697e7	−	2.32586e7i	0.0298944	−	0.0440909i
$809$	−1.33199e8	−	2.21379e8i	−0.251569	−	0.418110i	0.705179	−	0.709029i	$-0.250867\pi$
$809$	−1.33199e8	−	2.21379e8i	−0.251569	−	0.418110i	−0.956748	+	0.290919i	$0.906039\pi$
$810$	4.09590e8	−	2.22073e7i	0.770716	−	0.0417870i
$811$	2.32880e7	+	2.45848e7i	0.0436586	+	0.0460898i	0.747459	−	0.664308i	$-0.231274\pi$
$811$	2.32880e7	+	2.45848e7i	0.0436586	+	0.0460898i	−0.703800	+	0.710398i	$0.748515\pi$
$812$	−5.08289e8	+	3.86391e8i	−0.949385	+	0.721704i
$813$	1.58370e8	−	3.48600e7i	0.294715	−	0.0648717i
$814$	−1.33246e9	+	1.13180e9i	−2.47048	+	2.09845i
$815$	4.38106e6	−	8.08039e7i	0.00809294	−	0.149265i
$816$	−4.38498e8	−	8.27095e8i	−0.807044	−	1.52225i
$817$	−5.27328e7	+	2.39567e8i	−0.0966974	+	0.439301i
$818$	−8.36429e8	+	3.86973e8i	−1.52816	+	0.707003i
$819$	3.99764e7	−	6.64413e7i	0.0727699	−	0.120945i
$820$	6.79899e7	−	1.28243e8i	0.123311	−	0.232590i
$821$	−2.82431e8	−	2.39899e8i	−0.510368	−	0.433511i	0.354837	−	0.934928i	$-0.384536\pi$
$821$	−2.82431e8	−	2.39899e8i	−0.510368	−	0.433511i	−0.865206	+	0.501417i	$0.832812\pi$
$822$	−3.03833e8	+	3.20753e8i	−0.547041	+	0.577504i
$823$	5.88678e7	−	5.41281e8i	0.105604	−	0.971009i	−0.814721	−	0.579853i	$-0.803110\pi$
$823$	5.88678e7	−	5.41281e8i	0.105604	−	0.971009i	0.920325	−	0.391156i	$-0.127925\pi$
$824$	−6.33084e6	+	1.58892e7i	−0.0113157	+	0.0284001i
$825$			7.97753e8i			1.42071i
$826$	8.15779e6	+	5.45820e8i	0.0144755	+	0.968522i
$827$	−2.67270e8			−0.472534			−0.236267	−	0.971688i	$-0.575924\pi$
$827$	−2.67270e8			−0.472534			−0.236267	+	0.971688i	$0.575924\pi$
$828$	−2.44366e6	−	973643.i	−0.00430477	−	0.00171518i
$829$	9.71543e8	+	1.05662e8i	1.70529	+	0.185462i	0.908240	−	0.418450i	$-0.137426\pi$
$829$	9.71543e8	+	1.05662e8i	1.70529	+	0.185462i	0.797051	+	0.603911i	$0.206392\pi$
$830$	−2.74442e8	−	2.59965e8i	−0.479973	−	0.454654i
$831$	−6.79563e7	+	8.00044e7i	−0.118420	+	0.139415i
$832$	−7.71000e8	−	4.08758e8i	−1.33870	−	0.709735i
$833$	4.43849e8	+	2.67055e8i	0.767892	+	0.462025i
$834$	−5.33304e8	−	1.15272e9i	−0.919340	−	1.98712i
$835$	−1.50395e8	−	3.31045e7i	−0.258330	−	0.0568627i
$836$	−2.41085e8	+	1.27815e8i	−0.412620	+	0.218757i
$837$	1.19179e8	+	6.46171e6i	0.203247	+	0.0110197i
$838$	2.80728e8	+	3.30499e8i	0.477039	+	0.561614i
$839$	−2.08852e8	−	9.48824e8i	−0.353633	−	1.60657i	−0.732263	−	0.681022i	$-0.761536\pi$
$839$	−2.08852e8	−	9.48824e8i	−0.353633	−	1.60657i	0.378630	−	0.925548i	$-0.376395\pi$
$840$	5.75304e6	+	7.56800e6i	0.00970643	+	0.0127686i
$841$	−8.16830e8	+	7.73742e8i	−1.37323	+	1.30079i
$842$	−2.37073e7	−	4.37255e8i	−0.0397141	−	0.732484i
$843$	−1.68407e8	+	1.01327e8i	−0.281111	+	0.169139i
$844$	−8.14260e8	−	5.52082e8i	−1.35436	−	0.918282i
$845$	8.01333e7	−	2.88614e8i	0.132814	−	0.478352i
$846$	−1.62058e8	+	1.76248e7i	−0.267645	+	0.0291081i
$847$	6.52622e8	+	4.96110e8i	1.07402	+	0.816447i
$848$	−3.30232e8	−	1.52781e8i	−0.541541	−	0.250543i
$849$	−3.50621e8	+	2.37727e8i	−0.572947	+	0.388468i
$850$	−3.57485e8	−	1.06098e9i	−0.582104	−	1.72762i
$851$	4.04154e6	+	2.46523e7i	0.00655781	+	0.0400009i
$852$	−8.59216e7	+	5.24099e8i	−0.138926	+	0.847411i
$853$	−1.57117e7	−	5.29387e6i	−0.0253148	−	0.00852956i	0.306616	−	0.951833i	$-0.400803\pi$
$853$	−1.57117e7	−	5.29387e6i	−0.0253148	−	0.00852956i	−0.331930	+	0.943304i	$0.607700\pi$
$854$	−7.24242e7	−	2.60848e8i	−0.116281	−	0.418807i
$855$	4.25193e6	+	1.06715e7i	0.00680280	+	0.0170738i
$856$	−7.77716e6	+	3.09871e6i	−0.0123994	+	0.00494036i
$857$	−5.17119e8	+	1.43577e8i	−0.821576	+	0.228109i	−0.652786	−	0.757543i	$-0.726400\pi$
$857$	−5.17119e8	+	1.43577e8i	−0.821576	+	0.228109i	−0.168790	+	0.985652i	$0.553986\pi$
$858$	7.57797e8	−	2.24906e9i	1.19975	−	3.56073i
$859$	8.64885e8	+	1.41791e8i	1.36452	+	0.223701i	0.799147	−	0.601136i	$-0.205285\pi$
$859$	8.64885e8	+	1.41791e8i	1.36452	+	0.223701i	0.565370	+	0.824837i	$0.308733\pi$
$860$	5.35797e8	−	8.78394e7i	0.842373	−	0.138100i
$861$	2.33045e8	−	7.85221e7i	0.365116	−	0.123022i
$862$	−6.25231e8	−	9.22146e8i	−0.976154	−	1.43972i
$863$	−2.20524e8	+	4.76654e8i	−0.343102	+	0.741602i	−0.999923	−	0.0124446i	$-0.996039\pi$
$863$	−2.20524e8	+	4.76654e8i	−0.343102	+	0.741602i	0.656821	+	0.754047i	$0.271901\pi$
$864$	5.08248e8	−	6.68589e8i	0.788015	−	1.03662i
$865$	3.10444e7	+	2.85449e8i	0.0479662	+	0.441041i
$866$	−3.02455e8	−	8.39762e7i	−0.465701	−	0.129301i
$867$	−6.93579e8	+	1.02295e9i	−1.06424	+	1.56963i
$868$	5.26361e7	+	8.74819e7i	0.0804868	+	0.133770i
$869$	−1.12246e6	+	60858.0i	−0.00171046	+	9.27382e-5i
$870$	5.65761e8	+	5.97267e8i	0.859163	+	0.907007i
$871$	9.84089e7	−	7.48085e7i	0.148929	−	0.113213i
$872$	3.74669e7	−	8.24708e6i	0.0565064	−	0.0124380i
$873$	−3.39248e6	+	2.88160e6i	−0.00509888	+	0.00433102i
$874$	−415617.	+	7.66561e6i	−0.000622529	+	0.0114819i
$875$	−1.81529e8	−	3.42399e8i	−0.270970	−	0.511104i
$876$	1.32756e8	−	6.03117e8i	0.197489	−	0.897199i
$877$	8.06173e8	−	3.72975e8i	1.19517	−	0.552944i	0.281563	−	0.959543i	$-0.409147\pi$
$877$	8.06173e8	−	3.72975e8i	1.19517	−	0.552944i	0.913607	+	0.406598i	$0.133285\pi$
$878$	8.48857e7	−	1.41081e8i	0.125415	−	0.208442i
$879$	−3.31208e8	+	6.24724e8i	−0.487679	+	0.919860i
$880$	−4.17781e8	−	3.54866e8i	−0.613057	−	0.520735i
$881$	−6.57946e8	+	6.94585e8i	−0.962193	+	1.01578i	0.0376707	+	0.999290i	$0.488006\pi$
$881$	−6.57946e8	+	6.94585e8i	−0.962193	+	1.01578i	−0.999864	+	0.0164850i	$0.994752\pi$
$882$	8.29733e6	−	7.62927e7i	0.0120930	−	0.111193i
$883$	2.24960e8	−	5.64607e8i	0.326756	−	0.820095i	−0.670204	−	0.742177i	$-0.733793\pi$
$883$	2.24960e8	−	5.64607e8i	0.326756	−	0.820095i	0.996960	−	0.0779181i	$-0.0248273\pi$
$884$			1.69170e9i			2.44887i
$885$	3.54536e8	−	4.39284e7i	0.511482	−	0.0633746i
$886$	−6.96478e8			−1.00140
$887$	5.56244e8	+	2.21628e8i	0.797066	+	0.317580i	0.732880	−	0.680358i	$-0.238176\pi$
$887$	5.56244e8	+	2.21628e8i	0.797066	+	0.317580i	0.0641858	+	0.997938i	$0.479555\pi$
$888$	−4.49099e7	−	4.88425e6i	−0.0641362	−	0.00697523i
$889$	−5.44275e8	−	5.15565e8i	−0.774663	−	0.733800i
$890$	1.01171e8	−	1.19108e8i	0.143511	−	0.168955i
$891$	1.21428e9	+	6.43768e8i	1.71666	+	0.910115i
$892$	−9.04048e8	−	5.43948e8i	−1.27379	−	0.766412i
$893$	1.01459e8	+	2.19299e8i	0.142473	+	0.307951i
$894$	−6.04568e8	−	1.33075e8i	−0.846121	−	0.186245i
$895$	−4.05107e8	+	2.14774e8i	−0.565067	+	0.299580i
$896$	4.46820e7	+	2.42259e6i	0.0621168	+	0.00336787i
$897$	−2.19546e7	−	2.58469e7i	−0.0304192	−	0.0358122i
$898$	−3.74453e8	−	1.70116e9i	−0.517093	−	2.34918i
$899$	1.66440e8	+	2.18948e8i	0.229075	+	0.301343i
$900$	−6.11621e7	+	5.79359e7i	−0.0838987	+	0.0794731i
$901$	4.06864e7	+	7.50416e8i	0.0556256	+	1.02595i
$902$	8.20471e8	−	4.93661e8i	1.11800	−	0.672681i
$903$	7.61373e8	+	5.16224e8i	1.03403	+	0.701092i
$904$	1.06310e7	−	3.82894e7i	0.0143903	−	0.0518290i
$905$	−5.36316e8	+	5.83278e7i	−0.723560	+	0.0786919i
$906$	1.58991e9	+	1.20862e9i	2.13790	+	1.62519i
$907$	−8.09770e7	−	3.74640e7i	−0.108528	−	0.0502102i	0.364874	−	0.931057i	$-0.381112\pi$
$907$	−8.09770e7	−	3.74640e7i	−0.108528	−	0.0502102i	−0.473402	+	0.880847i	$0.656974\pi$
$908$	−1.05323e9	+	7.14108e8i	−1.40691	+	0.953908i
$909$	−4.06584e7	−	1.20670e8i	−0.0541326	−	0.160660i
$910$	8.10336e7	+	4.94283e8i	0.107533	+	0.655921i
$911$	−3.27091e7	+	1.99517e8i	−0.0432627	+	0.263891i	−0.999597	−	0.0283838i	$-0.990964\pi$
$911$	−3.27091e7	+	1.99517e8i	−0.0432627	+	0.263891i	0.956334	+	0.292275i	$0.0944122\pi$
$912$	1.94820e8	+	6.56424e7i	0.256831	+	0.0865366i
$913$	−3.38848e8	−	1.22042e9i	−0.445238	−	1.60360i
$914$	4.55540e8	+	1.14332e9i	0.596607	+	1.49737i
$915$	−1.64584e8	+	6.55764e7i	−0.214845	+	0.0856021i
$916$	−3.22940e8	+	8.96638e7i	−0.420180	+	0.116662i
$917$	1.61648e8	−	4.79754e8i	0.209634	−	0.622172i
$918$	−1.65670e9	−	2.71602e8i	−2.14148	−	0.351078i
$919$	−4.35014e8	+	7.13170e7i	−0.560476	+	0.0918854i	−0.435360	−	0.900257i	$-0.643379\pi$
$919$	−4.35014e8	+	7.13170e7i	−0.560476	+	0.0918854i	−0.125117	+	0.992142i	$0.539930\pi$
$920$	501233.	−	168885.i	0.000643689	−	0.000216884i
$921$	3.95591e7	+	5.83452e7i	0.0506369	+	0.0746838i
$922$	8.08661e7	−	1.74789e8i	0.103175	−	0.223009i
$923$	−5.27132e8	+	6.93430e8i	−0.670370	+	0.881856i
$924$	1.10634e8	+	1.01726e9i	0.140240	+	1.28948i
$925$	7.70911e8	+	2.14042e8i	0.974045	+	0.270442i
$926$	4.96316e8	−	7.32011e8i	0.625065	−	0.921902i
$927$	3.99582e7	+	6.64110e7i	0.0501610	+	0.0833682i
$928$	1.93240e9	−	1.04771e8i	2.41798	−	0.131099i
$929$	−6.26676e8	−	6.61573e8i	−0.781620	−	0.825146i	0.206562	−	0.978434i	$-0.433773\pi$
$929$	−6.26676e8	−	6.61573e8i	−0.781620	−	0.825146i	−0.988182	+	0.153287i	$0.951014\pi$
$930$	1.04728e8	−	7.96119e7i	0.130200	−	0.0989758i
$931$	−1.11095e8	+	2.44538e7i	−0.137671	+	0.0303038i
$932$	1.16021e9	−	9.85488e8i	1.43314	−	1.21732i
$933$	7.56969e7	−	1.39615e9i	0.0932037	−	1.71904i
$934$	6.60983e8	+	1.24675e9i	0.811241	+	1.53016i
$935$	−2.43379e8	+	1.10568e9i	−0.297748	+	1.35268i
$936$	7.08050e6	−	3.27579e6i	0.00863448	−	0.00399474i
$937$	−2.68055e8	+	4.45511e8i	−0.325840	+	0.541551i	−0.975868	−	0.218359i	$-0.929930\pi$
$937$	−2.68055e8	+	4.45511e8i	−0.325840	+	0.541551i	0.650028	+	0.759910i	$0.274757\pi$
$938$	−4.91526e7	+	9.27116e7i	−0.0595577	+	0.112338i
$939$	1.59132e8	+	1.35168e8i	0.192203	+	0.163259i
$940$	3.67798e8	−	3.88280e8i	0.442819	−	0.467478i
$941$	1.53162e8	−	1.40830e9i	0.183816	−	1.69016i	−0.431688	−	0.902023i	$-0.642082\pi$
$941$	1.53162e8	−	1.40830e9i	0.183816	−	1.69016i	0.615503	−	0.788134i	$-0.288953\pi$
$942$	−4.60573e8	+	1.15595e9i	−0.550993	+	1.38289i
$943$		−	1.36825e7i		−	0.0163166i
$944$	4.46323e8	−	6.79936e8i	0.530558	−	0.808262i
$945$	−2.52462e8			−0.299159
$946$	3.32735e9	+	1.32574e9i	3.93030	+	1.56597i
$947$	1.52582e9	+	1.65943e8i	1.79661	+	0.195393i	0.944620	−	0.328167i	$-0.106431\pi$
$947$	1.52582e9	+	1.65943e8i	1.79661	+	0.195393i	0.851989	+	0.523560i	$0.175396\pi$
$948$	−677456.	−	641721.i	−0.000795163	−	0.000753218i
$949$	6.55701e8	−	7.71951e8i	0.767198	−	0.903215i
$950$	2.17225e8	+	1.15165e8i	0.253360	+	0.134323i
$951$	3.90409e8	+	2.34901e8i	0.453918	+	0.273114i
$952$	−1.87697e7	−	4.05700e7i	−0.0217544	−	0.0470213i
$953$	1.59630e9	+	3.51373e8i	1.84432	+	0.405966i	0.992944	−	0.118587i	$-0.0378364\pi$
$953$	1.59630e9	+	3.51373e8i	1.84432	+	0.405966i	0.851378	+	0.524553i	$0.175767\pi$
$954$	9.83698e7	−	5.21523e7i	0.113296	−	0.0600660i
$955$	4.48114e8	+	2.42960e7i	0.514492	+	0.0278949i
$956$	3.80997e8	+	4.48545e8i	0.436062	+	0.513372i
$957$	5.92558e8	+	2.69202e9i	0.676075	+	3.07144i
$958$	−6.06407e8	−	7.97715e8i	−0.689712	−	0.907301i
$959$	2.26815e8	−	2.14850e8i	0.257167	−	0.243602i
$960$	−2.62466e7	−	4.84090e8i	−0.0296660	−	0.547157i
$961$	−7.22781e8	+	4.34883e8i	−0.814397	+	0.490007i
$962$	−1.97006e9	−	1.33574e9i	−2.21287	−	1.50036i
$963$	−1.01489e7	+	3.65531e7i	−0.0113643	+	0.0409304i
$964$	−6.90044e8	+	7.50468e7i	−0.770275	+	0.0837724i
$965$	1.60295e8	+	1.21853e8i	0.178377	+	0.135599i
$966$	2.61273e7	+	1.20878e7i	0.0289844	+	0.0134096i
$967$	3.48363e8	−	2.36196e8i	0.385259	−	0.261212i	−0.353148	−	0.935568i	$-0.614889\pi$
$967$	3.48363e8	−	2.36196e8i	0.385259	−	0.261212i	0.738407	+	0.674355i	$0.235578\pi$
$968$	2.63360e7	+	7.81626e7i	0.0290352	+	0.0861733i
$969$	−6.86937e7	−	4.19013e8i	−0.0754998	−	0.460528i
$970$	4.65163e6	−	2.83737e7i	0.00509671	−	0.0310886i
$971$	−9.88421e8	−	3.33038e8i	−1.07965	−	0.363777i	−0.277395	−	0.960756i	$-0.589471\pi$
$971$	−9.88421e8	−	3.33038e8i	−1.07965	−	0.363777i	−0.802257	+	0.596978i	$0.796368\pi$
$972$	7.33584e7	+	2.64213e8i	0.0798823	+	0.287710i
$973$	3.32433e8	+	8.34344e8i	0.360883	+	0.905747i
$974$	−1.64029e9	+	6.53550e8i	−1.77518	+	0.707298i
$975$	−1.04652e9	+	2.90565e8i	−1.12911	+	0.313495i
$976$	−1.28791e8	+	3.82240e8i	−0.138528	+	0.411137i
$977$	−7.75896e8	−	1.27202e8i	−0.831993	−	0.136398i	−0.269292	−	0.963059i	$-0.586790\pi$
$977$	−7.75896e8	−	1.27202e8i	−0.831993	−	0.136398i	−0.562701	+	0.826660i	$0.690238\pi$
$978$	4.37305e8	−	7.16925e7i	0.467485	−	0.0766403i
$979$	4.96203e8	−	1.67190e8i	0.528824	−	0.178182i
$980$	1.41297e8	+	2.08397e8i	0.150125	+	0.221418i
$981$	7.29945e7	−	1.57775e8i	0.0773184	−	0.167121i
$982$	−8.75668e8	+	1.15192e9i	−0.924709	+	1.21643i
$983$	−8.40129e7	−	7.72486e8i	−0.0884475	−	0.813261i	−0.951396	−	0.307970i	$-0.900350\pi$
$983$	−8.40129e7	−	7.72486e8i	−0.0884475	−	0.813261i	0.862949	−	0.505292i	$-0.168615\pi$
$984$	2.38406e7	+	6.61931e6i	0.0250226	+	0.00694748i
$985$	1.27947e8	−	1.88708e8i	0.133882	−	0.197461i
$986$	−1.99441e9	−	3.31473e9i	−2.08058	−	3.45794i
$987$	9.04784e8	−	4.90560e7i	0.941008	−	0.0510200i
$988$	−2.55483e8	−	2.69710e8i	−0.264905	−	0.279657i
$989$	4.07444e7	−	3.09731e7i	0.0421191	−	0.0320181i
$990$	1.63810e8	−	3.60573e7i	0.168824	−	0.0371610i
$991$	−7.93753e8	+	6.74220e8i	−0.815576	+	0.692757i	−0.954717	−	0.297516i	$-0.903842\pi$
$991$	−7.93753e8	+	6.74220e8i	−0.815576	+	0.692757i	0.139141	+	0.990273i	$0.455566\pi$
$992$	1.67535e7	−	3.09001e8i	0.0171621	−	0.316537i
$993$	2.01705e8	+	3.80456e8i	0.206001	+	0.388559i
$994$	1.58953e8	−	7.22131e8i	0.161849	−	0.735287i
$995$	1.49813e8	−	6.93108e7i	0.152083	−	0.0703609i
$996$	5.42060e8	−	9.00911e8i	0.548617	−	0.911809i
$997$	−3.87452e8	+	7.30813e8i	−0.390961	+	0.737430i	−0.998377	−	0.0569539i	$-0.981861\pi$
$997$	−3.87452e8	+	7.30813e8i	−0.390961	+	0.737430i	0.607416	+	0.794384i	$0.292206\pi$
$998$	6.19277e8	+	5.26019e8i	0.623008	+	0.529188i
$999$	8.25038e8	−	8.70982e8i	0.827518	−	0.873600i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	59.7.d.a.10.24	yes	812
59.6	odd	58	inner	59.7.d.a.6.24	✓	812

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
59.7.d.a.6.24	✓	812	59.6	odd	58	inner
59.7.d.a.10.24	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+(10.5943 + 4.22114i) q^{2} +(-28.7314 - 3.12473i) q^{3} +(47.9565 + 45.4268i) q^{4} +(-38.9642 + 45.8722i) q^{5} +(-291.198 - 154.383i) q^{6} +(199.703 + 120.157i) q^{7} +(9.84607 + 21.2819i) q^{8} +(103.774 + 22.8424i) q^{9} +(-606.429 + 321.508i) q^{10} +(-2296.40 - 124.507i) q^{11} +(-1235.91 - 1455.03i) q^{12} +(-673.084 - 3057.85i) q^{13} +(1608.51 + 2115.95i) q^{14} +(1262.83 - 1196.22i) q^{15} +(-214.400 - 3954.37i) q^{16} +(-7008.52 + 4216.89i) q^{17} +(1002.99 + 680.041i) q^{18} +(480.538 - 1730.74i) q^{19} +(-3952.41 + 429.851i) q^{20} +(-5362.29 - 4076.31i) q^{21} +(-23803.1 - 11012.5i) q^{22} +(-310.190 + 210.314i) q^{23} +(-216.391 - 642.226i) q^{24} +(1941.79 + 11844.4i) q^{25} +(5776.79 - 35236.8i) q^{26} +(17055.6 + 5746.71i) q^{27} +(4118.70 + 14834.2i) q^{28} +(15350.4 + 38526.7i) q^{29} +(18428.2 - 7342.46i) q^{30} +(6389.90 - 1774.15i) q^{31} +(14899.7 - 44220.8i) q^{32} +(65589.8 + 10752.9i) q^{33} +(-92050.1 + 15090.9i) q^{34} +(-13293.1 + 4478.98i) q^{35} +(3938.98 + 5809.55i) q^{36} +(27989.3 - 60497.8i) q^{37} +(12396.6 - 16307.5i) q^{38} +(9783.70 + 89959.6i) q^{39} +(-1359.89 - 377.572i) q^{40} +(-20488.6 + 30218.4i) q^{41} +(-39602.8 - 65820.4i) q^{42} +(-136366. + 7393.55i) q^{43} +(-104471. - 110289. i) q^{44} +(-5091.29 + 3870.30i) q^{45} +(-4173.99 + 918.765i) q^{46} +(-102528. + 87088.1i) q^{47} +(-6196.33 + 114285. i) q^{48} +(-29664.2 - 55952.7i) q^{49} +(-29425.1 + 133679. i) q^{50} +(214541. - 99257.4i) q^{51} +(106630. - 177220. i) q^{52} +(43037.4 - 81177.2i) q^{53} +(156434. + 132876. i) q^{54} +(95188.8 - 100490. i) q^{55} +(-590.890 + 5433.15i) q^{56} +(-19214.7 + 48225.1i) q^{57} +472958. i q^{58} +(165340. + 121833. i) q^{59} +114902. q^{60} +(-94618.6 - 37699.5i) q^{61} +(75185.1 + 8176.88i) q^{62} +(17979.3 + 17030.9i) q^{63} +(180432. - 212421. i) q^{64} +(166497. + 88270.9i) q^{65} +(649485. + 390782. i) q^{66} +(16577.3 + 35831.3i) q^{67} +(-527664. - 116148. i) q^{68} +(9569.36 - 5073.36i) q^{69} +(-159737. - 8660.71i) q^{70} +(-180099. - 212029. i) q^{71} +(535.635 + 2433.42i) q^{72} +(195764. + 257523. i) q^{73} +(551895. - 522783. i) q^{74} +(-18779.9 - 346375. i) q^{75} +(101667. - 61171.1i) q^{76} +(-443638. - 300794. i) q^{77} +(-276081. + 994354. i) q^{78} +(485.926 - 52.8476i) q^{79} +(189749. + 144244. i) q^{80} +(-542378. - 250931. i) q^{81} +(-344617. + 233656. i) q^{82} +(175853. + 521914. i) q^{83} +(-71983.1 - 439077. i) q^{84} +(79643.5 - 485804. i) q^{85} +(-1.47591e6 - 497290. i) q^{86} +(-320654. - 1.15489e6i) q^{87} +(-19960.8 - 50097.7i) q^{88} +(-211510. + 84273.1i) q^{89} +(-70275.5 + 19511.9i) q^{90} +(233007. - 691539. i) q^{91} +(-24429.5 - 4005.01i) q^{92} +(-189135. + 31007.0i) q^{93} +(-1.45382e6 + 489849. i) q^{94} +(60669.2 + 89480.3i) q^{95} +(-566268. + 1.22397e6i) q^{96} +(-25350.6 + 33348.1i) q^{97} +(-78086.5 - 717994. i) q^{98} +(-235462. - 65375.8i) 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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