LMFDB - Embedded newform 198.6.e.b.67.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [198,6,Mod(67,198)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(198, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([2, 0]))

N = Newforms(chi, 6, names="a")

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

chi := DirichletCharacter("198.67");

S:= CuspForms(chi, 6);

N := Newforms(S);

Level:	$ N $	$=$	$ 198 = 2 \cdot 3^{2} \cdot 11 $
Weight:	$ k $	$=$	$ 6 $
Character orbit:	$[\chi]$	$=$	198.e (of order $3$, degree $2$, 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:	$31.7559963230$
Analytic rank:	$0$
Dimension:	$24$
Relative dimension:	$12$ over $\Q(\zeta_{3})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label			67.8
Character	$\chi$	$=$	198.67
Dual form			198.6.e.b.133.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(2.00000 + 3.46410i) q^{2} +(6.46136 - 14.1863i) q^{3} +(-8.00000 + 13.8564i) q^{4} +(-15.4896 + 26.8288i) q^{5} +(62.0655 - 5.98979i) q^{6} +(29.1617 + 50.5095i) q^{7} -64.0000 q^{8} +(-159.502 - 183.325i) q^{9} +O(q^{10})$	\(q+(2.00000 + 3.46410i) q^{2} +(6.46136 - 14.1863i) q^{3} +(-8.00000 + 13.8564i) q^{4} +(-15.4896 + 26.8288i) q^{5} +(62.0655 - 5.98979i) q^{6} +(29.1617 + 50.5095i) q^{7} -64.0000 q^{8} +(-159.502 - 183.325i) q^{9} -123.917 q^{10} +(-60.5000 - 104.789i) q^{11} +(144.880 + 203.022i) q^{12} +(451.536 - 782.083i) q^{13} +(-116.647 + 202.038i) q^{14} +(280.518 + 393.091i) q^{15} +(-128.000 - 221.703i) q^{16} -1597.66 q^{17} +(316.054 - 919.181i) q^{18} +436.908 q^{19} +(-247.834 - 429.261i) q^{20} +(904.966 - 87.3362i) q^{21} +(242.000 - 419.156i) q^{22} +(2120.83 - 3673.38i) q^{23} +(-413.527 + 907.923i) q^{24} +(1082.64 + 1875.19i) q^{25} +3612.29 q^{26} +(-3631.30 + 1078.21i) q^{27} -933.173 q^{28} +(1650.99 + 2859.60i) q^{29} +(-800.672 + 1757.92i) q^{30} +(3201.81 - 5545.70i) q^{31} +(512.000 - 886.810i) q^{32} +(-1877.48 + 181.191i) q^{33} +(-3195.31 - 5534.44i) q^{34} -1806.81 q^{35} +(3816.24 - 743.518i) q^{36} -2692.62 q^{37} +(873.817 + 1513.49i) q^{38} +(-8177.33 - 11458.9i) q^{39} +(991.337 - 1717.05i) q^{40} +(9505.44 - 16463.9i) q^{41} +(2112.47 + 2960.22i) q^{42} +(-7914.36 - 13708.1i) q^{43} +1936.00 q^{44} +(7389.03 - 1439.60i) q^{45} +16966.6 q^{46} +(-12711.0 - 22016.2i) q^{47} +(-3972.19 + 383.347i) q^{48} +(6702.69 - 11609.4i) q^{49} +(-4330.57 + 7500.77i) q^{50} +(-10323.0 + 22664.8i) q^{51} +(7224.57 + 12513.3i) q^{52} -33889.6 q^{53} +(-10997.6 - 10422.8i) q^{54} +3748.49 q^{55} +(-1866.35 - 3232.61i) q^{56} +(2823.02 - 6198.11i) q^{57} +(-6603.96 + 11438.4i) q^{58} +(5155.43 - 8929.47i) q^{59} +(-7690.97 + 742.238i) q^{60} +(13592.8 + 23543.4i) q^{61} +25614.5 q^{62} +(4608.33 - 13402.4i) q^{63} +4096.00 q^{64} +(13988.3 + 24228.4i) q^{65} +(-4382.63 - 6141.40i) q^{66} +(-10042.2 + 17393.6i) q^{67} +(12781.2 - 22137.8i) q^{68} +(-38408.2 - 53821.6i) q^{69} +(-3613.63 - 6258.99i) q^{70} +54794.2 q^{71} +(10208.1 + 11732.8i) q^{72} +2720.69 q^{73} +(-5385.24 - 9327.50i) q^{74} +(33597.3 - 3242.40i) q^{75} +(-3495.27 + 6053.98i) q^{76} +(3528.56 - 6111.65i) q^{77} +(23340.3 - 51245.0i) q^{78} +(-20508.3 - 35521.5i) q^{79} +7930.69 q^{80} +(-8167.37 + 58481.4i) q^{81} +76043.6 q^{82} +(9786.23 + 16950.3i) q^{83} +(-6029.57 + 13238.3i) q^{84} +(24747.1 - 42863.2i) q^{85} +(31657.4 - 54832.3i) q^{86} +(51234.7 - 4944.54i) q^{87} +(3872.00 + 6706.50i) q^{88} -100314. q^{89} +(19765.0 + 22717.1i) q^{90} +52670.2 q^{91} +(33933.2 + 58774.0i) q^{92} +(-57984.9 - 81254.6i) q^{93} +(50844.2 - 88064.7i) q^{94} +(-6767.55 + 11721.7i) q^{95} +(-9272.33 - 12993.4i) q^{96} +(81904.9 + 141863. i) q^{97} +53621.6 q^{98} +(-9560.64 + 27805.2i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 24 q + 48 q^{2} + 21 q^{3} - 192 q^{4} - 7 q^{5} + 168 q^{6} + 24 q^{7} - 1536 q^{8} - 543 q^{9}+O(q^{10}) $ 24 * q + 48 * q^2 + 21 * q^3 - 192 * q^4 - 7 * q^5 + 168 * q^6 + 24 * q^7 - 1536 * q^8 - 543 * q^9	\( 24 q + 48 q^{2} + 21 q^{3} - 192 q^{4} - 7 q^{5} + 168 q^{6} + 24 q^{7} - 1536 q^{8} - 543 q^{9} - 56 q^{10} - 1452 q^{11} + 336 q^{12} - 688 q^{13} - 96 q^{14} - 1500 q^{15} - 3072 q^{16} + 3512 q^{17} + 1164 q^{18} - 3836 q^{19} - 112 q^{20} + 1842 q^{21} + 5808 q^{22} - 680 q^{23} - 1344 q^{24} - 7759 q^{25} - 5504 q^{26} + 3024 q^{27} - 768 q^{28} - 3210 q^{29} - 4596 q^{30} + 857 q^{31} + 12288 q^{32} - 5082 q^{33} + 7024 q^{34} + 29824 q^{35} + 13344 q^{36} + 7166 q^{37} - 7672 q^{38} - 23076 q^{39} + 448 q^{40} - 27726 q^{41} - 10680 q^{42} - 15092 q^{43} + 46464 q^{44} + 38667 q^{45} - 5440 q^{46} - 28938 q^{47} - 10752 q^{48} + 17322 q^{49} + 31036 q^{50} + 37032 q^{51} - 11008 q^{52} - 12652 q^{53} + 59832 q^{54} + 1694 q^{55} - 1536 q^{56} - 168660 q^{57} + 12840 q^{58} - 33123 q^{59} + 5616 q^{60} + 36262 q^{61} + 6856 q^{62} + 47496 q^{63} + 98304 q^{64} - 31470 q^{65} - 10164 q^{66} + 35563 q^{67} - 28096 q^{68} + 123459 q^{69} + 59648 q^{70} + 295146 q^{71} + 34752 q^{72} + 12056 q^{73} + 14332 q^{74} - 244221 q^{75} + 30688 q^{76} + 2904 q^{77} - 64200 q^{78} + 128058 q^{79} + 3584 q^{80} + 90621 q^{81} - 221808 q^{82} - 209888 q^{83} - 72192 q^{84} + 228182 q^{85} + 60368 q^{86} - 89802 q^{87} + 92928 q^{88} - 46724 q^{89} + 96972 q^{90} - 305924 q^{91} - 10880 q^{92} - 187767 q^{93} + 115752 q^{94} - 118660 q^{95} - 21504 q^{96} + 240799 q^{97} + 138576 q^{98} - 35211 q^{99}+O(q^{100}) \) 24 * q + 48 * q^2 + 21 * q^3 - 192 * q^4 - 7 * q^5 + 168 * q^6 + 24 * q^7 - 1536 * q^8 - 543 * q^9 - 56 * q^10 - 1452 * q^11 + 336 * q^12 - 688 * q^13 - 96 * q^14 - 1500 * q^15 - 3072 * q^16 + 3512 * q^17 + 1164 * q^18 - 3836 * q^19 - 112 * q^20 + 1842 * q^21 + 5808 * q^22 - 680 * q^23 - 1344 * q^24 - 7759 * q^25 - 5504 * q^26 + 3024 * q^27 - 768 * q^28 - 3210 * q^29 - 4596 * q^30 + 857 * q^31 + 12288 * q^32 - 5082 * q^33 + 7024 * q^34 + 29824 * q^35 + 13344 * q^36 + 7166 * q^37 - 7672 * q^38 - 23076 * q^39 + 448 * q^40 - 27726 * q^41 - 10680 * q^42 - 15092 * q^43 + 46464 * q^44 + 38667 * q^45 - 5440 * q^46 - 28938 * q^47 - 10752 * q^48 + 17322 * q^49 + 31036 * q^50 + 37032 * q^51 - 11008 * q^52 - 12652 * q^53 + 59832 * q^54 + 1694 * q^55 - 1536 * q^56 - 168660 * q^57 + 12840 * q^58 - 33123 * q^59 + 5616 * q^60 + 36262 * q^61 + 6856 * q^62 + 47496 * q^63 + 98304 * q^64 - 31470 * q^65 - 10164 * q^66 + 35563 * q^67 - 28096 * q^68 + 123459 * q^69 + 59648 * q^70 + 295146 * q^71 + 34752 * q^72 + 12056 * q^73 + 14332 * q^74 - 244221 * q^75 + 30688 * q^76 + 2904 * q^77 - 64200 * q^78 + 128058 * q^79 + 3584 * q^80 + 90621 * q^81 - 221808 * q^82 - 209888 * q^83 - 72192 * q^84 + 228182 * q^85 + 60368 * q^86 - 89802 * q^87 + 92928 * q^88 - 46724 * q^89 + 96972 * q^90 - 305924 * q^91 - 10880 * q^92 - 187767 * q^93 + 115752 * q^94 - 118660 * q^95 - 21504 * q^96 + 240799 * q^97 + 138576 * q^98 - 35211 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/198\mathbb{Z}\right)^\times$.

$n$	$145$	$155$
$\chi(n)$	$1$	$e\left(\frac{1}{3}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	2.00000	+	3.46410i	0.353553	+	0.612372i
$2$	2.00000	+	3.46410i	0.353553	+	0.612372i
$3$	6.46136	−	14.1863i	0.414496	−	0.910051i
$3$	6.46136	−	14.1863i	0.414496	−	0.910051i
$4$	−8.00000	+	13.8564i	−0.250000	+	0.433013i
$5$	−15.4896	+	26.8288i	−0.277087	+	0.479929i	−0.970660	−	0.240458i	$-0.922702\pi$
$5$	−15.4896	+	26.8288i	−0.277087	+	0.479929i	0.693572	+	0.720387i	$0.256036\pi$
$6$	62.0655	−	5.98979i	0.703837	−	0.0679256i
$7$	29.1617	+	50.5095i	0.224940	+	0.389608i	0.956302	−	0.292382i	$-0.0944480\pi$
$7$	29.1617	+	50.5095i	0.224940	+	0.389608i	−0.731361	+	0.681990i	$0.761115\pi$
$8$	−64.0000			−0.353553
$9$	−159.502	−	183.325i	−0.656386	−	0.754425i
$10$	−123.917			−0.391860
$11$	−60.5000	−	104.789i	−0.150756	−	0.261116i
$11$	−60.5000	−	104.789i	−0.150756	−	0.261116i
$12$	144.880	+	203.022i	0.290440	+	0.406995i
$13$	451.536	−	782.083i	0.741027	−	1.28350i	−0.211001	−	0.977486i	$-0.567672\pi$
$13$	451.536	−	782.083i	0.741027	−	1.28350i	0.952028	−	0.306010i	$-0.0989942\pi$
$14$	−116.647	+	202.038i	−0.159057	+	0.275495i
$15$	280.518	+	393.091i	0.321908	+	0.451092i
$16$	−128.000	−	221.703i	−0.125000	−	0.216506i
$17$	−1597.66			−1.34079			−0.670395	−	0.742004i	$-0.733875\pi$
$17$	−1597.66			−1.34079			−0.670395	+	0.742004i	$0.733875\pi$
$18$	316.054	−	919.181i	0.229922	−	0.668682i
$19$	436.908			0.277656			0.138828	−	0.990317i	$-0.455667\pi$
$19$	436.908			0.277656			0.138828	+	0.990317i	$0.455667\pi$
$20$	−247.834	−	429.261i	−0.138544	−	0.239964i
$21$	904.966	−	87.3362i	0.447800	−	0.0432161i
$22$	242.000	−	419.156i	0.106600	−	0.184637i
$23$	2120.83	−	3673.38i	0.835960	−	1.44792i	−0.0572871	−	0.998358i	$-0.518245\pi$
$23$	2120.83	−	3673.38i	0.835960	−	1.44792i	0.893247	−	0.449567i	$-0.148422\pi$
$24$	−413.527	+	907.923i	−0.146547	+	0.321752i
$25$	1082.64	+	1875.19i	0.346446	+	0.600061i
$26$	3612.29			1.04797
$27$	−3631.30	+	1078.21i	−0.958635	+	0.284638i
$28$	−933.173			−0.224940
$29$	1650.99	+	2859.60i	0.364543	+	0.631408i	0.988703	−	0.149889i	$-0.0478917\pi$
$29$	1650.99	+	2859.60i	0.364543	+	0.631408i	−0.624159	+	0.781297i	$0.714558\pi$
$30$	−800.672	+	1757.92i	−0.162425	+	0.356613i
$31$	3201.81	−	5545.70i	0.598400	−	1.03646i	−0.394657	−	0.918828i	$-0.629137\pi$
$31$	3201.81	−	5545.70i	0.598400	−	1.03646i	0.993057	−	0.117631i	$-0.0375300\pi$
$32$	512.000	−	886.810i	0.0883883	−	0.153093i
$33$	−1877.48	+	181.191i	−0.300117	+	0.0289636i
$34$	−3195.31	−	5534.44i	−0.474041	−	0.821063i
$35$	−1806.81			−0.249312
$36$	3816.24	−	743.518i	0.490772	−	0.0956171i
$37$	−2692.62			−0.323348			−0.161674	−	0.986844i	$-0.551689\pi$
$37$	−2692.62			−0.323348			−0.161674	+	0.986844i	$0.551689\pi$
$38$	873.817	+	1513.49i	0.0981661	+	0.170029i
$39$	−8177.33	−	11458.9i	−0.860894	−	1.20638i
$40$	991.337	−	1717.05i	0.0979651	−	0.169680i
$41$	9505.44	−	16463.9i	0.883106	−	1.52958i	0.0352365	−	0.999379i	$-0.488782\pi$
$41$	9505.44	−	16463.9i	0.883106	−	1.52958i	0.847869	−	0.530205i	$-0.177885\pi$
$42$	2112.47	+	2960.22i	0.184786	+	0.258941i
$43$	−7914.36	−	13708.1i	−0.652746	−	1.13059i	−0.982454	−	0.186507i	$-0.940283\pi$
$43$	−7914.36	−	13708.1i	−0.652746	−	1.13059i	0.329707	−	0.944083i	$-0.393050\pi$
$44$	1936.00			0.150756
$45$	7389.03	−	1439.60i	0.543947	−	0.105977i
$46$	16966.6			1.18223
$47$	−12711.0	−	22016.2i	−0.839337	−	1.45378i	−0.890449	−	0.455082i	$-0.849610\pi$
$47$	−12711.0	−	22016.2i	−0.839337	−	1.45378i	0.0511121	−	0.998693i	$-0.483723\pi$
$48$	−3972.19	+	383.347i	−0.248844	+	0.0240153i
$49$	6702.69	−	11609.4i	0.398804	−	0.690748i
$50$	−4330.57	+	7500.77i	−0.244974	+	0.424307i
$51$	−10323.0	+	22664.8i	−0.555752	+	1.22019i
$52$	7224.57	+	12513.3i	0.370513	+	0.641748i
$53$	−33889.6			−1.65721			−0.828605	−	0.559834i	$-0.810865\pi$
$53$	−33889.6			−1.65721			−0.828605	+	0.559834i	$0.810865\pi$
$54$	−10997.6	−	10422.8i	−0.513233	−	0.486407i
$55$	3748.49			0.167090
$56$	−1866.35	−	3232.61i	−0.0795284	−	0.137747i
$57$	2823.02	−	6198.11i	0.115087	−	0.252681i
$58$	−6603.96	+	11438.4i	−0.257771	+	0.446473i
$59$	5155.43	−	8929.47i	0.192812	−	0.333961i	−0.753369	−	0.657598i	$-0.771572\pi$
$59$	5155.43	−	8929.47i	0.192812	−	0.333961i	0.946181	+	0.323637i	$0.104906\pi$
$60$	−7690.97	+	742.238i	−0.275806	+	0.0266174i
$61$	13592.8	+	23543.4i	0.467717	+	0.810110i	0.999320	−	0.0368838i	$-0.0117431\pi$
$61$	13592.8	+	23543.4i	0.467717	+	0.810110i	−0.531602	+	0.846994i	$0.678410\pi$
$62$	25614.5			0.846266
$63$	4608.33	−	13402.4i	0.146283	−	0.425434i
$64$	4096.00			0.125000
$65$	13988.3	+	24228.4i	0.410658	+	0.711280i
$66$	−4382.63	−	6141.40i	−0.123844	−	0.173543i
$67$	−10042.2	+	17393.6i	−0.273301	+	0.473371i	−0.969705	−	0.244279i	$-0.921449\pi$
$67$	−10042.2	+	17393.6i	−0.273301	+	0.473371i	0.696404	+	0.717650i	$0.254782\pi$
$68$	12781.2	−	22137.8i	0.335198	−	0.580579i
$69$	−38408.2	−	53821.6i	−0.971183	−	1.36093i
$70$	−3613.63	−	6258.99i	−0.0881452	−	0.152672i
$71$	54794.2			1.29000			0.644999	−	0.764184i	$-0.276858\pi$
$71$	54794.2			1.29000			0.644999	+	0.764184i	$0.276858\pi$
$72$	10208.1	+	11732.8i	0.232067	+	0.266730i
$73$	2720.69			0.0597546			0.0298773	−	0.999554i	$-0.490488\pi$
$73$	2720.69			0.0597546			0.0298773	+	0.999554i	$0.490488\pi$
$74$	−5385.24	−	9327.50i	−0.114321	−	0.198009i
$75$	33597.3	−	3242.40i	0.689687	−	0.0665600i
$76$	−3495.27	+	6053.98i	−0.0694139	+	0.120228i
$77$	3528.56	−	6111.65i	0.0678221	−	0.117471i
$78$	23340.3	−	51245.0i	0.434380	−	0.953706i
$79$	−20508.3	−	35521.5i	−0.369711	−	0.640358i	0.619809	−	0.784753i	$-0.287210\pi$
$79$	−20508.3	−	35521.5i	−0.369711	−	0.640358i	−0.989520	+	0.144394i	$0.953877\pi$
$80$	7930.69			0.138544
$81$	−8167.37	+	58481.4i	−0.138315	+	0.990388i
$82$	76043.6			1.24890
$83$	9786.23	+	16950.3i	0.155927	+	0.270073i	0.933396	−	0.358848i	$-0.116830\pi$
$83$	9786.23	+	16950.3i	0.155927	+	0.270073i	−0.777469	+	0.628921i	$0.783497\pi$
$84$	−6029.57	+	13238.3i	−0.0932369	+	0.204707i
$85$	24747.1	−	42863.2i	0.371516	−	0.643484i
$86$	31657.4	−	54832.3i	0.461561	−	0.799448i
$87$	51234.7	−	4944.54i	0.725715	−	0.0700370i
$88$	3872.00	+	6706.50i	0.0533002	+	0.0923186i
$89$	−100314.			−1.34242			−0.671208	−	0.741269i	$-0.734224\pi$
$89$	−100314.			−1.34242			−0.671208	+	0.741269i	$0.734224\pi$
$90$	19765.0	+	22717.1i	0.257212	+	0.295629i
$91$	52670.2			0.666747
$92$	33933.2	+	58774.0i	0.417980	+	0.723962i
$93$	−57984.9	−	81254.6i	−0.695196	−	0.974183i
$94$	50844.2	−	88064.7i	0.593501	−	1.02797i
$95$	−6767.55	+	11721.7i	−0.0769348	+	0.133255i
$96$	−9272.33	−	12993.4i	−0.102686	−	0.143894i
$97$	81904.9	+	141863.i	0.883854	+	1.53088i	0.847021	+	0.531559i	$0.178394\pi$
$97$	81904.9	+	141863.i	0.883854	+	1.53088i	0.0368327	+	0.999321i	$0.488273\pi$
$98$	53621.6			0.563994
$99$	−9560.64	+	27805.2i	−0.0980390	+	0.285127i
$100$	−34644.6			−0.346446
$101$	−59182.3	−	102507.i	−0.577282	−	0.999882i	−0.995790	−	0.0916688i	$-0.970780\pi$
$101$	−59182.3	−	102507.i	−0.577282	−	0.999882i	0.418507	−	0.908213i	$-0.362553\pi$
$102$	−99159.2	+	9569.62i	−0.943697	+	0.0910740i
$103$	−29853.2	+	51707.2i	−0.277266	+	0.480240i	−0.970704	−	0.240277i	$-0.922762\pi$
$103$	−29853.2	+	51707.2i	−0.277266	+	0.480240i	0.693438	+	0.720516i	$0.256095\pi$
$104$	−28898.3	+	50053.3i	−0.261993	+	0.453784i
$105$	−11674.5	+	25632.0i	−0.103339	+	0.226887i
$106$	−67779.3	−	117397.i	−0.585912	−	1.01483i
$107$	210795.			1.77992			0.889961	−	0.456036i	$-0.150731\pi$
$107$	210795.			1.77992			0.889961	+	0.456036i	$0.150731\pi$
$108$	14110.3	−	58942.5i	0.116407	−	0.486261i
$109$	155274.			1.25179			0.625897	−	0.779905i	$-0.284733\pi$
$109$	155274.			1.25179			0.625897	+	0.779905i	$0.284733\pi$
$110$	7496.98	+	12985.2i	0.0590752	+	0.102321i
$111$	−17398.0	+	38198.3i	−0.134027	+	0.294263i
$112$	7465.39	−	12930.4i	0.0562351	−	0.0974020i
$113$	−101167.	+	175227.i	−0.745321	+	1.29093i	0.204723	+	0.978820i	$0.434371\pi$
$113$	−101167.	+	175227.i	−0.745321	+	1.29093i	−0.950044	+	0.312115i	$0.898963\pi$
$114$	27116.9	−	2616.99i	0.195424	−	0.0188599i
$115$	65701.6	+	113799.i	0.463267	+	0.802402i
$116$	−52831.7			−0.364543
$117$	−215396.	+	41965.7i	−1.45470	+	0.283419i
$118$	41243.4			0.272678
$119$	−46590.3	−	80696.8i	−0.301598	−	0.522383i
$120$	−17953.1	−	25157.8i	−0.113812	−	0.159485i
$121$	−7320.50	+	12679.5i	−0.0454545	+	0.0787296i
$122$	−54371.1	+	94173.5i	−0.330726	+	0.572835i
$123$	−172144.	−	241226.i	−1.02596	−	1.43768i
$124$	51229.0	+	88731.2i	0.299200	+	0.518230i
$125$	−163889.			−0.938156
$126$	55644.0	−	10841.1i	0.312243	−	0.0608342i
$127$	−167723.			−0.922747			−0.461374	−	0.887206i	$-0.652643\pi$
$127$	−167723.			−0.922747			−0.461374	+	0.887206i	$0.652643\pi$
$128$	8192.00	+	14189.0i	0.0441942	+	0.0765466i
$129$	−245604.	+	23702.7i	−1.29946	+	0.125407i
$130$	−55953.0	+	96913.5i	−0.290379	+	0.502951i
$131$	−192729.	+	333817.i	−0.981228	+	1.69954i	−0.323600	+	0.946194i	$0.604893\pi$
$131$	−192729.	+	333817.i	−0.981228	+	1.69954i	−0.657628	+	0.753343i	$0.728440\pi$
$132$	12509.2	−	27464.7i	0.0624876	−	0.137195i
$133$	12741.0	+	22068.0i	0.0624559	+	0.108177i
$134$	−80337.4			−0.386506
$135$	27320.5	−	114125.i	0.129019	−	0.538946i
$136$	102250.			0.474041
$137$	−56982.9	−	98697.3i	−0.259384	−	0.449267i	0.706693	−	0.707520i	$-0.250186\pi$
$137$	−56982.9	−	98697.3i	−0.259384	−	0.449267i	−0.966077	+	0.258254i	$0.916853\pi$
$138$	109627.	−	240693.i	0.490028	−	1.07589i
$139$	87437.2	−	151446.i	0.383848	−	0.664844i	−0.607761	−	0.794120i	$-0.707932\pi$
$139$	87437.2	−	151446.i	0.383848	−	0.664844i	0.991609	+	0.129276i	$0.0412654\pi$
$140$	14454.5	−	25036.0i	0.0623281	−	0.107955i
$141$	−394458.	+	38068.3i	−1.67091	+	0.161256i
$142$	109588.	+	189813.i	0.456083	+	0.789959i
$143$	−109272.			−0.446856
$144$	−20227.5	+	58827.6i	−0.0812896	+	0.236415i
$145$	−102293.			−0.404041
$146$	5441.37	+	9424.74i	0.0211264	+	0.0365921i
$147$	−121386.	−	170099.i	−0.463314	−	0.649244i
$148$	21540.9	−	37310.0i	0.0808370	−	0.140014i
$149$	−39487.9	+	68395.0i	−0.145713	+	0.252382i	−0.929639	−	0.368472i	$-0.879881\pi$
$149$	−39487.9	+	68395.0i	−0.145713	+	0.252382i	0.783926	+	0.620855i	$0.213214\pi$
$150$	78426.7	+	109900.i	0.284601	+	0.398813i
$151$	76755.2	+	132944.i	0.273946	+	0.474489i	0.969869	−	0.243628i	$-0.0783376\pi$
$151$	76755.2	+	132944.i	0.273946	+	0.474489i	−0.695922	+	0.718117i	$0.745004\pi$
$152$	−27962.1			−0.0981661
$153$	254829.	+	292891.i	0.880076	+	1.01153i
$154$	28228.5			0.0959149
$155$	99189.8	+	171802.i	0.331618	+	0.574379i
$156$	224198.	−	21636.8i	0.737600	−	0.0711840i
$157$	132056.	−	228727.i	0.427570	−	0.740574i	−0.569086	−	0.822278i	$-0.692703\pi$
$157$	132056.	−	228727.i	0.427570	−	0.740574i	0.996657	+	0.0817041i	$0.0260363\pi$
$158$	82033.3	−	142086.i	0.261425	−	0.452802i
$159$	−218973.	+	480768.i	−0.686907	+	1.50815i
$160$	15861.4	+	27472.7i	0.0489825	+	0.0848402i
$161$	247387.			0.752164
$162$	−218920.	+	88670.3i	−0.655388	+	0.265455i
$163$	434916.			1.28214			0.641071	−	0.767482i	$-0.278490\pi$
$163$	434916.			1.28214			0.641071	+	0.767482i	$0.278490\pi$
$164$	152087.	+	263423.i	0.441553	+	0.764792i
$165$	24220.3	−	53177.2i	0.0692581	−	0.152060i
$166$	−39144.9	+	67801.0i	−0.110257	+	0.190970i
$167$	−250135.	+	433246.i	−0.694037	+	1.20211i	0.276467	+	0.961023i	$0.410836\pi$
$167$	−250135.	+	433246.i	−0.694037	+	1.20211i	−0.970504	+	0.241084i	$0.922497\pi$
$168$	−57917.8	+	5589.51i	−0.158321	+	0.0152792i
$169$	−222123.	−	384728.i	−0.598241	−	1.03618i
$170$	197977.			0.525402
$171$	−69687.7	−	80096.4i	−0.182249	−	0.209470i
$172$	253259.			0.652746
$173$	−106107.	−	183783.i	−0.269544	−	0.466864i	0.699200	−	0.714926i	$-0.253540\pi$
$173$	−106107.	−	183783.i	−0.269544	−	0.466864i	−0.968744	+	0.248062i	$0.920206\pi$
$174$	119598.	+	167593.i	0.299468	+	0.419646i
$175$	−63143.3	+	109367.i	−0.155859	+	0.269956i
$176$	−15488.0	+	26826.0i	−0.0376889	+	0.0652791i
$177$	−93365.0	−	130833.i	−0.224001	−	0.313895i
$178$	−200628.	−	347498.i	−0.474616	−	0.822058i
$179$	−408820.			−0.953673			−0.476836	−	0.878992i	$-0.658217\pi$
$179$	−408820.			−0.953673			−0.476836	+	0.878992i	$0.658217\pi$
$180$	−39164.5	+	113902.i	−0.0900972	+	0.262030i
$181$	−26536.5			−0.0602070			−0.0301035	−	0.999547i	$-0.509584\pi$
$181$	−26536.5			−0.0602070			−0.0301035	+	0.999547i	$0.509584\pi$
$182$	105340.	+	182455.i	0.235731	+	0.408298i
$183$	421821.	−	40709.0i	0.931109	−	0.0898591i
$184$	−135733.	+	235096.i	−0.295556	+	0.511919i
$185$	41707.7	−	72239.8i	0.0895956	−	0.155184i
$186$	165504.	−	363375.i	0.350774	−	0.770145i
$187$	96658.2	+	167417.i	0.202132	+	0.350102i
$188$	406753.			0.839337
$189$	−160355.	−	151973.i	−0.326533	−	0.309465i
$190$	−54140.4			−0.108802
$191$	468914.	+	812183.i	0.930057	+	1.61091i	0.783219	+	0.621746i	$0.213576\pi$
$191$	468914.	+	812183.i	0.930057	+	1.61091i	0.146839	+	0.989160i	$0.453090\pi$
$192$	26465.7	−	58107.1i	0.0518120	−	0.113756i
$193$	−6201.28	+	10740.9i	−0.0119836	+	0.0207562i	−0.871955	−	0.489586i	$-0.837148\pi$
$193$	−6201.28	+	10740.9i	−0.0119836	+	0.0207562i	0.859971	+	0.510342i	$0.170481\pi$
$194$	−327620.	+	567454.i	−0.624979	+	1.08250i
$195$	434094.	−	41893.4i	0.817518	−	0.0788967i
$196$	107243.	+	185751.i	0.199402	+	0.345374i
$197$	−307623.			−0.564745			−0.282373	−	0.959305i	$-0.591121\pi$
$197$	−307623.			−0.564745			−0.282373	+	0.959305i	$0.591121\pi$
$198$	−115441.	+	22491.4i	−0.209266	+	0.0407713i
$199$	366096.			0.655334			0.327667	−	0.944793i	$-0.393738\pi$
$199$	366096.			0.655334			0.327667	+	0.944793i	$0.393738\pi$
$200$	−69289.1	−	120012.i	−0.122487	−	0.212154i
$201$	181864.	+	254847.i	0.317510	+	0.444928i
$202$	236729.	−	410027.i	0.408200	−	0.707024i
$203$	−96291.2	+	166781.i	−0.164001	+	0.284058i
$204$	−231469.	−	324358.i	−0.389419	−	0.545695i
$205$	294472.	+	510040.i	0.489394	+	0.847656i
$206$	−238825.			−0.392114
$207$	−1.01170e6	+	197109.i	−1.64106	+	0.319728i
$208$	−231186.			−0.370513
$209$	−26433.0	−	45783.2i	−0.0418581	−	0.0725004i
$210$	−112141.	+	10822.4i	−0.175475	+	0.0169347i
$211$	558389.	−	967158.i	0.863437	−	1.49552i	−0.00515430	−	0.999987i	$-0.501641\pi$
$211$	558389.	−	967158.i	0.863437	−	1.49552i	0.868591	−	0.495530i	$-0.165026\pi$
$212$	271117.	−	469589.i	0.414302	−	0.717593i
$213$	354045.	−	777327.i	0.534699	−	1.17396i
$214$	421590.	+	730216.i	0.629298	+	1.08998i
$215$	490362.			0.723470
$216$	232404.	−	69005.3i	0.338929	−	0.100635i
$217$	373481.			0.538417
$218$	310548.	+	537886.i	0.442576	+	0.766565i
$219$	17579.3	−	38596.5i	0.0247681	−	0.0543797i
$220$	−29987.9	+	51940.6i	−0.0417724	+	0.0723520i
$221$	−721399.	+	1.24950e6i	−0.993561	+	1.72090i
$222$	−167119.	+	16128.2i	−0.227584	+	0.0219636i
$223$	−559886.	−	969750.i	−0.753941	−	1.30586i	−0.945899	−	0.324460i	$-0.894817\pi$
$223$	−559886.	−	969750.i	−0.753941	−	1.30586i	0.191959	−	0.981403i	$-0.438516\pi$
$224$	59723.1			0.0795284
$225$	171087.	−	497572.i	0.225299	−	0.655239i
$226$	−809338.			−1.05404
$227$	−347039.	−	601088.i	−0.447006	−	0.774237i	0.551184	−	0.834384i	$-0.314176\pi$
$227$	−347039.	−	601088.i	−0.447006	−	0.774237i	−0.998190	+	0.0601473i	$0.980843\pi$
$228$	63299.4	+	88701.8i	0.0806422	+	0.113004i
$229$	371435.	−	643345.i	0.468053	−	0.810691i	−0.531281	−	0.847196i	$-0.678289\pi$
$229$	371435.	−	643345.i	0.468053	−	0.810691i	0.999333	+	0.0365049i	$0.0116225\pi$
$230$	−262807.	+	455194.i	−0.327579	+	0.567384i
$231$	−63902.3	−	89546.8i	−0.0787929	−	0.110413i
$232$	−105663.	−	183014.i	−0.128886	−	0.223236i
$233$	226723.			0.273594			0.136797	−	0.990599i	$-0.456319\pi$
$233$	226723.			0.273594			0.136797	+	0.990599i	$0.456319\pi$
$234$	−576166.	−	662224.i	−0.687873	−	0.790615i
$235$	787558.			0.930278
$236$	82486.9	+	142871.i	0.0964062	+	0.166980i
$237$	−636429.	+	61420.3i	−0.736002	+	0.0710299i
$238$	186361.	−	322787.i	0.213262	−	0.369380i
$239$	183410.	−	317676.i	0.207696	−	0.359740i	−0.743292	−	0.668967i	$-0.766737\pi$
$239$	183410.	−	317676.i	0.207696	−	0.359740i	0.950988	+	0.309227i	$0.100070\pi$
$240$	51243.0	−	112507.i	0.0574258	−	0.126082i
$241$	73010.9	+	126459.i	0.0809740	+	0.140251i	0.903669	−	0.428233i	$-0.140864\pi$
$241$	73010.9	+	126459.i	0.0809740	+	0.140251i	−0.822695	+	0.568484i	$0.807530\pi$
$242$	−58564.0			−0.0642824
$243$	776862.	+	493734.i	0.843973	+	0.536386i
$244$	−434969.			−0.467717
$245$	207645.	+	359651.i	0.221007	+	0.382795i
$246$	491344.	−	1.07878e6i	0.517664	−	1.13656i
$247$	197280.	−	341699.i	0.205750	−	0.356370i
$248$	−204916.	+	354925.i	−0.211566	+	0.366444i
$249$	303694.	−	29308.8i	0.310411	−	0.0299570i
$250$	−327778.	−	567729.i	−0.331688	−	0.574501i
$251$	−431791.			−0.432603			−0.216301	−	0.976327i	$-0.569399\pi$
$251$	−431791.			−0.432603			−0.216301	+	0.976327i	$0.569399\pi$
$252$	148843.	+	171074.i	0.147648	+	0.169701i
$253$	−513240.			−0.504103
$254$	−335446.	−	581009.i	−0.326240	−	0.565065i
$255$	−448171.	−	628024.i	−0.431611	−	0.604820i
$256$	−32768.0	+	56755.8i	−0.0312500	+	0.0541266i
$257$	−135882.	+	235354.i	−0.128330	+	0.222274i	−0.923030	−	0.384729i	$-0.874295\pi$
$257$	−135882.	+	235354.i	−0.128330	+	0.222274i	0.794700	+	0.607003i	$0.207628\pi$
$258$	−573317.	−	803392.i	−0.536223	−	0.751413i
$259$	−78521.2	−	136003.i	−0.0727340	−	0.125979i
$260$	−447624.			−0.410658
$261$	260901.	−	758779.i	0.237069	−	0.689468i
$262$	−1.54184e6			−1.38767
$263$	582828.	+	1.00949e6i	0.519579	+	0.899936i	0.999741	+	0.0227569i	$0.00724437\pi$
$263$	582828.	+	1.00949e6i	0.519579	+	0.899936i	−0.480162	+	0.877180i	$0.659422\pi$
$264$	120159.	−	11596.2i	0.106107	−	0.0102402i
$265$	524938.	−	909220.i	0.459191	−	0.795343i
$266$	−50963.9	+	88272.1i	−0.0441630	+	0.0764926i
$267$	−648165.	+	1.42309e6i	−0.556426	+	1.22167i
$268$	−160675.	−	278297.i	−0.136650	−	0.236685i
$269$	665865.			0.561055			0.280528	−	0.959846i	$-0.409491\pi$
$269$	665865.			0.561055			0.280528	+	0.959846i	$0.409491\pi$
$270$	449981.	−	133608.i	0.375651	−	0.111538i
$271$	−479138.			−0.396312			−0.198156	−	0.980170i	$-0.563495\pi$
$271$	−479138.			−0.396312			−0.198156	+	0.980170i	$0.563495\pi$
$272$	204500.	+	354204.i	0.167599	+	0.290290i
$273$	340321.	−	747194.i	0.276364	−	0.606774i
$274$	227932.	−	394789.i	0.183412	−	0.317679i
$275$	131000.	−	226898.i	0.104457	−	0.180925i
$276$	1.05304e6	−	101626.i	0.832094	−	0.0803034i
$277$	545631.	+	945061.i	0.427268	+	0.740049i	0.996629	−	0.0820381i	$-0.0261429\pi$
$277$	545631.	+	945061.i	0.427268	+	0.740049i	−0.569362	+	0.822087i	$0.692810\pi$
$278$	699497.			0.542843
$279$	−1.52736e6	+	297576.i	−1.17471	+	0.228869i
$280$	115636.			0.0881452
$281$	−1.20017e6	−	2.07876e6i	−0.906728	−	1.57050i	−0.818581	−	0.574391i	$-0.805239\pi$
$281$	−1.20017e6	−	2.07876e6i	−0.906728	−	1.57050i	−0.0881469	−	0.996107i	$-0.528094\pi$
$282$	−920789.	−	1.29031e6i	−0.689505	−	0.966208i
$283$	143984.	−	249387.i	0.106868	−	0.185100i	−0.807632	−	0.589687i	$-0.799251\pi$
$283$	143984.	−	249387.i	0.106868	−	0.185100i	0.914500	+	0.404586i	$0.132585\pi$
$284$	−438354.	+	759251.i	−0.322499	+	0.558585i
$285$	122561.	+	171745.i	0.0893796	+	0.125248i
$286$	−218543.	−	378528.i	−0.157987	−	0.273642i
$287$	1.10878e6			0.794584
$288$	−244240.	+	47585.2i	−0.173514	+	0.0338057i
$289$	1.13265e6			0.797718
$290$	−204586.	−	354353.i	−0.142850	−	0.247424i
$291$	2.54173e6	−	245297.i	1.75953	−	0.169808i
$292$	−21765.5	+	37698.9i	−0.0149387	+	0.0258745i
$293$	703058.	−	1.21773e6i	0.478434	−	0.828672i	−0.521260	−	0.853398i	$-0.674538\pi$
$293$	703058.	−	1.21773e6i	0.478434	−	0.828672i	0.999694	+	0.0247257i	$0.00787124\pi$
$294$	346468.	−	760691.i	0.233773	−	0.513263i
$295$	159712.	+	276628.i	0.106852	+	0.185072i
$296$	172328.			0.114321
$297$	332678.	+	315289.i	0.218843	+	0.207405i
$298$	−315903.			−0.206069
$299$	−1.91526e6	−	3.31732e6i	−1.23894	−	2.14590i
$300$	−223851.	+	491478.i	−0.143600	+	0.315283i
$301$	461592.	−	799500.i	0.293658	−	0.508631i
$302$	−307021.	+	531776.i	−0.193709	+	0.335514i
$303$	−1.83659e6	+	177245.i	−1.14923	+	0.110909i
$304$	−55924.3	−	96863.7i	−0.0347069	−	0.0601142i
$305$	−842189.			−0.518394
$306$	−504946.	+	1.46853e6i	−0.308277	+	0.896563i
$307$	−949267.			−0.574834			−0.287417	−	0.957806i	$-0.592797\pi$
$307$	−949267.			−0.574834			−0.287417	+	0.957806i	$0.592797\pi$
$308$	56457.0	+	97786.4i	0.0339110	+	0.0587356i
$309$	540642.	+	757604.i	0.322117	+	0.451384i
$310$	−396759.	+	687207.i	−0.234489	+	0.406147i
$311$	60703.4	−	105141.i	0.0355887	−	0.0616414i	−0.847682	−	0.530504i	$-0.822003\pi$
$311$	60703.4	−	105141.i	0.0355887	−	0.0616414i	0.883271	+	0.468863i	$0.155336\pi$
$312$	523349.	+	733372.i	0.304372	+	0.426518i
$313$	1.41547e6	+	2.45166e6i	0.816656	+	1.41449i	0.908132	+	0.418683i	$0.137508\pi$
$313$	1.41547e6	+	2.45166e6i	0.816656	+	1.41449i	−0.0914760	+	0.995807i	$0.529158\pi$
$314$	1.05644e6			0.604676
$315$	288190.	+	331235.i	0.163645	+	0.188087i
$316$	656266.			0.369711
$317$	985389.	+	1.70674e6i	0.550756	+	0.953938i	0.998220	+	0.0596361i	$0.0189940\pi$
$317$	985389.	+	1.70674e6i	0.550756	+	0.953938i	−0.447464	+	0.894302i	$0.647673\pi$
$318$	−2.10338e6	+	202992.i	−1.16640	+	0.112567i
$319$	199770.	−	346011.i	0.109914	−	0.190377i
$320$	−63445.6	+	109891.i	−0.0346359	+	0.0599911i
$321$	1.36202e6	−	2.99040e6i	0.737771	−	1.61982i
$322$	494774.	+	856975.i	0.265930	+	0.460605i
$323$	−698029.			−0.372278
$324$	−745004.	−	581022.i	−0.394272	−	0.307489i
$325$	1.95541e6			1.02690
$326$	869831.	+	1.50659e6i	0.453305	+	0.785148i
$327$	1.00328e6	−	2.20277e6i	0.518864	−	1.13920i
$328$	−608348.	+	1.05369e6i	−0.312225	+	0.540790i
$329$	741351.	−	1.28406e6i	0.377602	−	0.654025i
$330$	232652.	−	22452.7i	0.117604	−	0.0113497i
$331$	1.83672e6	+	3.18129e6i	0.921450	+	1.59600i	0.797173	+	0.603752i	$0.206328\pi$
$331$	1.83672e6	+	3.18129e6i	0.921450	+	1.59600i	0.124278	+	0.992247i	$0.460339\pi$
$332$	−313159.			−0.155927
$333$	429477.	+	493625.i	0.212241	+	0.243942i
$334$	−2.00108e6			−0.981516
$335$	−311099.	−	538840.i	−0.151456	−	0.262330i
$336$	−135198.	−	189454.i	−0.0653316	−	0.0915496i
$337$	1.85548e6	−	3.21378e6i	0.889980	−	1.54149i	0.0500833	−	0.998745i	$-0.484051\pi$
$337$	1.85548e6	−	3.21378e6i	0.889980	−	1.54149i	0.839897	−	0.542746i	$-0.182615\pi$
$338$	888491.	−	1.53891e6i	0.423021	−	0.732693i
$339$	1.83214e6	+	2.56739e6i	0.865884	+	1.21337i
$340$	395954.	+	685812.i	0.185758	+	0.321742i
$341$	−774839.			−0.360849
$342$	138087.	−	401598.i	0.0638391	−	0.185663i
$343$	1.76209e6			0.808709
$344$	506519.	+	877316.i	0.230781	+	0.399724i
$345$	2.03890e6	−	196770.i	0.922250	−	0.0890041i
$346$	424429.	−	735132.i	0.190596	−	0.330123i
$347$	−1.77827e6	+	3.08005e6i	−0.792818	+	1.37320i	0.131398	+	0.991330i	$0.458053\pi$
$347$	−1.77827e6	+	3.08005e6i	−0.792818	+	1.37320i	−0.924216	+	0.381871i	$0.875280\pi$
$348$	−341364.	+	749485.i	−0.151102	+	0.331753i
$349$	−1.21027e6	−	2.09625e6i	−0.531886	−	0.921254i	−0.999307	−	0.0372193i	$-0.988150\pi$
$349$	−1.21027e6	−	2.09625e6i	−0.531886	−	0.921254i	0.467421	−	0.884035i	$-0.345183\pi$
$350$	−505146.			−0.220418
$351$	−796416.	+	3.32683e6i	−0.345042	+	1.44133i
$352$	−123904.			−0.0533002
$353$	−1.19908e6	−	2.07687e6i	−0.512166	−	0.887098i	−0.999901	−	0.0141059i	$-0.995510\pi$
$353$	−1.19908e6	−	2.07687e6i	−0.512166	−	0.887098i	0.487734	−	0.872992i	$-0.337824\pi$
$354$	266489.	−	585092.i	0.113024	−	0.248151i
$355$	−848742.	+	1.47006e6i	−0.357442	+	0.619107i
$356$	802513.	−	1.38999e6i	0.335604	−	0.581283i
$357$	−1.44582e6	+	139533.i	−0.600406	+	0.0579438i
$358$	−817640.	−	1.41619e6i	−0.337174	−	0.584003i
$359$	−1.14128e6			−0.467367			−0.233683	−	0.972313i	$-0.575078\pi$
$359$	−1.14128e6			−0.467367			−0.233683	+	0.972313i	$0.575078\pi$
$360$	−472898.	+	92134.7i	−0.192314	+	0.0374685i
$361$	−2.28521e6			−0.922907
$362$	−53073.0	−	91925.2i	−0.0212864	−	0.0368691i
$363$	132574.	+	185777.i	0.0528072	+	0.0739991i
$364$	−421361.	+	729819.i	−0.166687	+	0.288710i
$365$	−42142.5	+	72992.9i	−0.0165572	+	0.0286780i
$366$	984662.	+	1.37981e6i	0.384224	+	0.538415i
$367$	616804.	+	1.06834e6i	0.239046	+	0.414040i	0.960441	−	0.278484i	$-0.0898319\pi$
$367$	616804.	+	1.06834e6i	0.239046	+	0.414040i	−0.721395	+	0.692524i	$0.756499\pi$
$368$	−1.08586e6			−0.417980
$369$	−4.53439e6	+	883434.i	−1.73362	+	0.337760i
$370$	333661.			0.126707
$371$	−988279.	−	1.71175e6i	−0.372773	−	0.645662i
$372$	1.58978e6	−	153426.i	0.595633	−	0.0574831i
$373$	−482885.	+	836382.i	−0.179710	+	0.311266i	−0.941781	−	0.336227i	$-0.890849\pi$
$373$	−482885.	+	836382.i	−0.179710	+	0.311266i	0.762071	+	0.647493i	$0.224183\pi$
$374$	−386633.	+	669667.i	−0.142929	+	0.247560i
$375$	−1.05895e6	+	2.32498e6i	−0.388862	+	0.853770i
$376$	813507.	+	1.40904e6i	0.296751	+	0.513987i
$377$	2.98192e6			1.08055
$378$	205741.	−	859431.i	0.0740612	−	0.309372i
$379$	−1.90126e6			−0.679897			−0.339948	−	0.940444i	$-0.610410\pi$
$379$	−1.90126e6			−0.679897			−0.339948	+	0.940444i	$0.610410\pi$
$380$	−108281.	−	187548.i	−0.0384674	−	0.0666275i
$381$	−1.08372e6	+	2.37936e6i	−0.382475	+	0.839747i
$382$	−1.87566e6	+	3.24873e6i	−0.657650	+	1.13908i
$383$	534162.	−	925195.i	0.186070	−	0.322282i	−0.757867	−	0.652409i	$-0.773758\pi$
$383$	534162.	−	925195.i	0.186070	−	0.322282i	0.943936	+	0.330127i	$0.107092\pi$
$384$	254220.	−	24534.2i	0.0879796	−	0.00849070i
$385$	109312.	+	189334.i	0.0375852	+	0.0650995i
$386$	−49610.2			−0.0169474
$387$	−1.25068e6	+	3.63736e6i	−0.424492	+	1.23455i
$388$	−2.62096e6			−0.883854
$389$	424046.	+	734469.i	0.142082	+	0.246093i	0.928280	−	0.371881i	$-0.121287\pi$
$389$	424046.	+	734469.i	0.142082	+	0.246093i	−0.786199	+	0.617974i	$0.787954\pi$
$390$	1.01331e6	+	1.41996e6i	0.337350	+	0.472731i
$391$	−3.38835e6	+	5.86879e6i	−1.12085	+	1.94136i
$392$	−428972.	+	743002.i	−0.140998	+	0.244216i
$393$	3.49034e6	+	4.89103e6i	1.13995	+	1.59742i
$394$	−615245.	−	1.06564e6i	−0.199668	−	0.345835i
$395$	1.27067e6			0.409769
$396$	−308795.	−	354918.i	−0.0989539	−	0.113734i
$397$	681601.			0.217047			0.108523	−	0.994094i	$-0.465388\pi$
$397$	681601.			0.217047			0.108523	+	0.994094i	$0.465388\pi$
$398$	732192.	+	1.26819e6i	0.231695	+	0.401308i
$399$	395387.	−	38157.9i	0.124334	−	0.0119992i
$400$	277156.	−	480049.i	0.0866114	−	0.150015i
$401$	2.35518e6	−	4.07929e6i	0.731414	−	1.26685i	−0.224865	−	0.974390i	$-0.572194\pi$
$401$	2.35518e6	−	4.07929e6i	0.731414	−	1.26685i	0.956279	−	0.292456i	$-0.0944726\pi$
$402$	−519089.	+	1.13969e6i	−0.160205	+	0.351740i
$403$	−2.89147e6	−	5.00817e6i	−0.886861	−	1.53609i
$404$	1.89383e6			0.577282
$405$	−1.44248e6	−	1.12498e6i	−0.436991	−	0.340805i
$406$	−770330.			−0.231932
$407$	162903.	+	282157.i	0.0487466	+	0.0844315i
$408$	660673.	−	1.45055e6i	0.196488	−	0.431401i
$409$	79819.8	−	138252.i	0.0235940	−	0.0408661i	−0.853987	−	0.520294i	$-0.825822\pi$
$409$	79819.8	−	138252.i	0.0235940	−	0.0408661i	0.877581	+	0.479428i	$0.159156\pi$
$410$	−1.17789e6	+	2.04016e6i	−0.346054	+	0.599383i
$411$	−1.76834e6	+	170658.i	−0.516369	+	0.0498336i
$412$	−477651.	−	827315.i	−0.138633	−	0.240120i
$413$	601364.			0.173485
$414$	−2.70620e6	−	3.11041e6i	−0.775996	−	0.891901i
$415$	−606341.			−0.172821
$416$	−462373.	−	800853.i	−0.130996	−	0.226892i
$417$	−1.58349e6	−	2.21895e6i	−0.445938	−	0.624896i
$418$	105732.	−	183133.i	0.0295982	−	0.0512655i
$419$	1.03238e6	−	1.78813e6i	0.287279	−	0.497581i	−0.685881	−	0.727714i	$-0.740583\pi$
$419$	1.03238e6	−	1.78813e6i	0.287279	−	0.497581i	0.973159	+	0.230133i	$0.0739161\pi$
$420$	−261772.	−	366822.i	−0.0724101	−	0.101469i
$421$	1.57278e6	+	2.72414e6i	0.432477	+	0.749072i	0.997086	−	0.0762865i	$-0.0243064\pi$
$421$	1.57278e6	+	2.72414e6i	0.432477	+	0.749072i	−0.564609	+	0.825358i	$0.690973\pi$
$422$	4.46711e6			1.22108
$423$	−2.00869e6	+	5.84188e6i	−0.545836	+	1.58745i
$424$	2.16894e6			0.585912
$425$	−1.72969e6	−	2.99591e6i	−0.464511	−	0.804556i
$426$	3.40083e6	−	328206.i	0.907947	−	0.0876238i
$427$	−792776.	+	1.37313e6i	−0.210417	+	0.364453i
$428$	−1.68636e6	+	2.92086e6i	−0.444981	+	0.770729i
$429$	−706043.	+	1.55016e6i	−0.185220	+	0.406662i
$430$	980724.	+	1.69866e6i	0.255785	+	0.443033i
$431$	2.54519e6			0.659975			0.329987	−	0.943985i	$-0.392956\pi$
$431$	2.54519e6			0.659975			0.329987	+	0.943985i	$0.392956\pi$
$432$	703848.	+	667059.i	0.181455	+	0.171971i
$433$	474348.			0.121584			0.0607921	−	0.998150i	$-0.480637\pi$
$433$	474348.			0.121584			0.0607921	+	0.998150i	$0.480637\pi$
$434$	746962.	+	1.29378e6i	0.190359	+	0.329712i
$435$	−660951.	+	1.45116e6i	−0.167473	+	0.367698i
$436$	−1.24219e6	+	2.15154e6i	−0.312949	+	0.542043i
$437$	926606.	−	1.60493e6i	0.232109	−	0.402024i
$438$	168861.	−	16296.3i	0.0420575	−	0.00405887i
$439$	−48607.5	−	84190.6i	−0.0120377	−	0.0208498i	0.859944	−	0.510389i	$-0.170498\pi$
$439$	−48607.5	−	84190.6i	−0.0120377	−	0.0208498i	−0.871981	+	0.489539i	$0.837165\pi$
$440$	−239904.			−0.0590752
$441$	−3.19739e6	+	622947.i	−0.782887	+	0.152530i
$442$	−5.77119e6			−1.40511
$443$	−1.18857e6	−	2.05867e6i	−0.287751	−	0.498400i	0.685521	−	0.728052i	$-0.259574\pi$
$443$	−1.18857e6	−	2.05867e6i	−0.287751	−	0.498400i	−0.973273	+	0.229653i	$0.926241\pi$
$444$	−390107.	−	546659.i	−0.0939131	−	0.131601i
$445$	1.55383e6	−	2.69131e6i	0.371966	−	0.644264i
$446$	2.23954e6	−	3.87900e6i	0.533116	−	0.923385i
$447$	715126.	+	1.00211e6i	0.169283	+	0.237218i
$448$	119446.	+	206887.i	0.0281175	+	0.0487010i
$449$	−3.31640e6			−0.776339			−0.388170	−	0.921588i	$-0.626892\pi$
$449$	−3.31640e6			−0.776339			−0.388170	+	0.921588i	$0.626892\pi$
$450$	2.06581e6	−	402482.i	0.480906	−	0.0936948i
$451$	−2.30032e6			−0.532533
$452$	−1.61868e6	−	2.80363e6i	−0.372661	−	0.645467i
$453$	2.38192e6	−	229874.i	0.545359	−	0.0526313i
$454$	1.38815e6	−	2.40435e6i	0.316081	−	0.547468i
$455$	−815842.	+	1.41308e6i	−0.184747	+	0.319991i
$456$	−180673.	+	396679.i	−0.0406895	+	0.0893361i
$457$	−882780.	−	1.52902e6i	−0.197725	−	0.342470i	0.750065	−	0.661364i	$-0.230022\pi$
$457$	−882780.	−	1.52902e6i	−0.197725	−	0.342470i	−0.947790	+	0.318894i	$0.896689\pi$
$458$	2.97148e6			0.661926
$459$	5.80157e6	−	1.72261e6i	1.28533	−	0.381640i
$460$	−2.10245e6			−0.463267
$461$	−3.75837e6	−	6.50969e6i	−0.823658	−	1.42662i	−0.902940	−	0.429766i	$-0.858596\pi$
$461$	−3.75837e6	−	6.50969e6i	−0.823658	−	1.42662i	0.0792821	−	0.996852i	$-0.474737\pi$
$462$	182394.	−	400458.i	0.0397563	−	0.0872874i
$463$	−3.73926e6	+	6.47659e6i	−0.810650	+	1.40409i	0.101760	+	0.994809i	$0.467553\pi$
$463$	−3.73926e6	+	6.47659e6i	−0.810650	+	1.40409i	−0.912410	+	0.409278i	$0.865781\pi$
$464$	422653.	−	732057.i	0.0911359	−	0.157852i
$465$	3.07813e6	−	297063.i	0.660169	−	0.0637113i
$466$	453447.	+	785393.i	0.0967300	+	0.167541i
$467$	6.38083e6			1.35389			0.676947	−	0.736032i	$-0.263303\pi$
$467$	6.38083e6			1.35389			0.676947	+	0.736032i	$0.263303\pi$
$468$	1.14168e6	−	3.32035e6i	0.240951	−	0.700759i
$469$	−1.17139e6			−0.245906
$470$	1.57512e6	+	2.72818e6i	0.328903	+	0.569677i
$471$	−2.39153e6	−	3.35127e6i	−0.496734	−	0.696076i
$472$	−329948.	+	571486.i	−0.0681695	+	0.118073i
$473$	−957637.	+	1.65868e6i	−0.196810	+	0.340886i
$474$	−1.48562e6	−	2.08181e6i	−0.303713	−	0.425595i
$475$	473015.	+	819287.i	0.0961925	+	0.166610i
$476$	1.49089e6			0.301598
$477$	5.40546e6	+	6.21283e6i	1.08777	+	1.25024i
$478$	1.46728e6			0.293727
$479$	−2.57024e6	−	4.45179e6i	−0.511841	−	0.886535i	−0.999906	−	0.0137271i	$-0.995630\pi$
$479$	−2.57024e6	−	4.45179e6i	−0.511841	−	0.886535i	0.488065	−	0.872807i	$-0.337703\pi$
$480$	492222.	−	47503.2i	0.0975120	−	0.00941065i
$481$	−1.21581e6	+	2.10585e6i	−0.239610	+	0.415016i
$482$	−292044.	+	505835.i	−0.0572572	+	0.0991724i
$483$	1.59846e6	−	3.50951e6i	0.311769	−	0.684508i
$484$	−117128.	−	202872.i	−0.0227273	−	0.0393648i
$485$	−5.07471e6			−0.979618
$486$	−156620.	+	3.67860e6i	−0.0300786	+	0.706467i
$487$	7.91614e6			1.51249			0.756243	−	0.654291i	$-0.227033\pi$
$487$	7.91614e6			1.51249			0.756243	+	0.654291i	$0.227033\pi$
$488$	−869938.	−	1.50678e6i	−0.165363	−	0.286417i
$489$	2.81014e6	−	6.16984e6i	0.531443	−	1.16681i
$490$	−830578.	+	1.43860e6i	−0.156275	+	0.270677i
$491$	−261174.	+	452367.i	−0.0488907	+	0.0846812i	−0.889435	−	0.457061i	$-0.848902\pi$
$491$	−261174.	+	452367.i	−0.0488907	+	0.0846812i	0.840544	+	0.541743i	$0.182235\pi$
$492$	4.71968e6	−	455485.i	0.879022	−	0.0848323i
$493$	−2.63771e6	−	4.56865e6i	−0.488776	−	0.846585i
$494$	1.57824e6			0.290975
$495$	−597891.	−	687194.i	−0.109675	−	0.126057i
$496$	−1.63933e6			−0.299200
$497$	1.59789e6	+	2.76763e6i	0.290172	+	0.502593i
$498$	708916.	+	993408.i	0.128092	+	0.179496i
$499$	3.52549e6	−	6.10633e6i	0.633824	−	1.09782i	−0.352939	−	0.935646i	$-0.614818\pi$
$499$	3.52549e6	−	6.10633e6i	0.633824	−	1.09782i	0.986763	−	0.162169i	$-0.0518489\pi$
$500$	1.31111e6	−	2.27092e6i	0.234539	−	0.406234i
$501$	4.52994e6	+	6.34784e6i	0.806303	+	1.12988i
$502$	−863582.	−	1.49577e6i	−0.152948	−	0.264914i
$503$	204743.			0.0360819			0.0180410	−	0.999837i	$-0.494257\pi$
$503$	204743.			0.0360819			0.0180410	+	0.999837i	$0.494257\pi$
$504$	−294933.	+	857755.i	−0.0517187	+	0.150414i
$505$	3.66685e6			0.639830
$506$	−1.02648e6	−	1.77791e6i	−0.178227	−	0.308699i
$507$	−6.89308e6	+	665235.i	−1.19095	+	0.114936i
$508$	1.34178e6	−	2.32404e6i	0.230687	−	0.399561i
$509$	−373834.	+	647500.i	−0.0639565	+	0.110776i	−0.896231	−	0.443588i	$-0.853705\pi$
$509$	−373834.	+	647500.i	−0.0639565	+	0.110776i	0.832274	+	0.554364i	$0.187039\pi$
$510$	1.27920e6	−	2.80856e6i	0.217777	−	0.478143i
$511$	79339.8	+	137421.i	0.0134412	+	0.0232809i
$512$	−262144.			−0.0441942
$513$	−1.58655e6	+	471078.i	−0.266170	+	0.0790314i
$514$	−1.08705e6			−0.181486
$515$	−924829.	−	1.60185e6i	−0.153654	−	0.266136i
$516$	1.63640e6	−	3.59281e6i	0.270561	−	0.594033i
$517$	−1.53804e6	+	2.66396e6i	−0.253070	+	0.438330i
$518$	314085.	−	544011.i	0.0514307	−	0.0890806i
$519$	−3.29280e6	+	317780.i	−0.536595	+	0.0517855i
$520$	−895248.	−	1.55062e6i	−0.145189	−	0.251476i
$521$	5.97560e6			0.964467			0.482233	−	0.876043i	$-0.339826\pi$
$521$	5.97560e6			0.964467			0.482233	+	0.876043i	$0.339826\pi$
$522$	3.15029e6	−	613770.i	0.506028	−	0.0985893i
$523$	−3.42985e6			−0.548304			−0.274152	−	0.961686i	$-0.588397\pi$
$523$	−3.42985e6			−0.548304			−0.274152	+	0.961686i	$0.588397\pi$
$524$	−3.08367e6	−	5.34108e6i	−0.490614	−	0.849768i
$525$	1.14353e6	+	1.60243e6i	0.181071	+	0.253735i
$526$	−2.33131e6	+	4.03795e6i	−0.367398	+	0.636351i
$527$	−5.11539e6	+	8.86012e6i	−0.802329	+	1.38967i
$528$	280488.	+	393050.i	0.0437854	+	0.0613568i
$529$	−5.77763e6	−	1.00071e7i	−0.897657	−	1.55479i
$530$	4.19951e6			0.649395
$531$	−2.45930e6	+	479145.i	−0.378508	+	0.0737446i
$532$	−407711.			−0.0624559
$533$	−8.58410e6	−	1.48681e7i	−1.30881	−	2.26693i
$534$	−6.22604e6	+	600861.i	−0.944841	+	0.0911844i
$535$	−3.26514e6	+	5.65539e6i	−0.493194	+	0.854236i
$536$	642699.	−	1.11319e6i	0.0966264	−	0.167362i
$537$	−2.64153e6	+	5.79964e6i	−0.395294	+	0.867891i
$538$	1.33173e6	+	2.30663e6i	0.198363	+	0.343575i
$539$	−1.62205e6			−0.240488
$540$	1.36279e6	+	1.29156e6i	0.201116	+	0.190604i
$541$	2.84031e6			0.417227			0.208614	−	0.977998i	$-0.433105\pi$
$541$	2.84031e6			0.417227			0.208614	+	0.977998i	$0.433105\pi$
$542$	−958276.	−	1.65978e6i	−0.140118	−	0.242691i
$543$	−171462.	+	376455.i	−0.0249556	+	0.0547915i
$544$	−818000.	+	1.41682e6i	−0.118510	+	0.205266i
$545$	−2.40514e6	+	4.16583e6i	−0.346856	+	0.600773i
$546$	3.26900e6	−	315483.i	0.469281	−	0.0452892i
$547$	−488665.	−	846392.i	−0.0698301	−	0.120949i	0.828996	−	0.559254i	$-0.188912\pi$
$547$	−488665.	−	846392.i	−0.0698301	−	0.120949i	−0.898826	+	0.438305i	$0.855579\pi$
$548$	1.82345e6			0.259384
$549$	2.14803e6	−	6.24711e6i	0.304165	−	0.884603i
$550$	1.04800e6			0.147725
$551$	721331.	+	1.24938e6i	0.101217	+	0.175314i
$552$	2.45812e6	+	3.44459e6i	0.343365	+	0.481160i
$553$	1.19611e6	−	2.07173e6i	0.166326	−	0.288085i
$554$	−2.18253e6	+	3.78024e6i	−0.302124	+	0.523294i
$555$	−755327.	−	1.05844e6i	−0.104088	−	0.145860i
$556$	1.39899e6	+	2.42313e6i	0.191924	+	0.332422i
$557$	4.44794e6			0.607464			0.303732	−	0.952757i	$-0.401767\pi$
$557$	4.44794e6			0.607464			0.303732	+	0.952757i	$0.401767\pi$
$558$	−4.08556e6	−	4.69579e6i	−0.555477	−	0.638444i
$559$	−1.42945e7			−1.93481
$560$	231272.	+	400575.i	0.0311640	+	0.0539777i
$561$	2.99957e6	−	289481.i	0.402394	−	0.0388341i
$562$	4.80068e6	−	8.31502e6i	0.641153	−	1.11051i
$563$	−1.85396e6	+	3.21116e6i	−0.246508	+	0.426964i	−0.962554	−	0.271089i	$-0.912616\pi$
$563$	−1.85396e6	+	3.21116e6i	−0.246508	+	0.426964i	0.716047	+	0.698052i	$0.245950\pi$
$564$	2.62818e6	−	5.77032e6i	0.347902	−	0.763840i
$565$	−3.13409e6	−	5.42840e6i	−0.413038	−	0.715403i
$566$	1.15187e6			0.151134
$567$	−3.19204e6	+	1.29289e6i	−0.416976	+	0.168890i
$568$	−3.50683e6			−0.456083
$569$	−1.38780e6	−	2.40374e6i	−0.179699	−	0.311249i	0.762078	−	0.647485i	$-0.224179\pi$
$569$	−1.38780e6	−	2.40374e6i	−0.179699	−	0.311249i	−0.941778	+	0.336236i	$0.890846\pi$
$570$	−349820.	+	768052.i	−0.0450981	+	0.0990155i
$571$	3.22136e6	−	5.57956e6i	0.413475	−	0.716159i	−0.581792	−	0.813337i	$-0.697648\pi$
$571$	3.22136e6	−	5.57956e6i	0.413475	−	0.716159i	0.995267	+	0.0971781i	$0.0309816\pi$
$572$	874174.	−	1.51411e6i	0.111714	−	0.193494i
$573$	1.45517e7	−	1.40435e6i	1.85151	−	0.178685i
$574$	2.21756e6	+	3.84092e6i	0.280928	+	0.486582i
$575$	9.18438e6			1.15846
$576$	−653319.	−	750901.i	−0.0820482	−	0.0943032i
$577$	632386.			0.0790757			0.0395378	−	0.999218i	$-0.487411\pi$
$577$	632386.			0.0790757			0.0395378	+	0.999218i	$0.487411\pi$
$578$	2.26529e6	+	3.92360e6i	0.282036	+	0.488501i
$579$	112305.	+	157374.i	0.0139221	+	0.0195091i
$580$	818343.	−	1.41741e6i	0.101010	−	0.174955i
$581$	−570766.	+	988595.i	−0.0701484	+	0.121501i
$582$	5.93320e6	+	8.31423e6i	0.726075	+	1.01745i
$583$	2.05032e6	+	3.55126e6i	0.249834	+	0.432725i
$584$	−174124.			−0.0211264
$585$	2.21052e6	−	6.42887e6i	0.267058	−	0.776685i
$586$	5.62446e6			0.676608
$587$	3.16216e6	+	5.47702e6i	0.378781	+	0.656068i	0.990885	−	0.134709i	$-0.0430100\pi$
$587$	3.16216e6	+	5.47702e6i	0.378781	+	0.656068i	−0.612104	+	0.790777i	$0.709677\pi$
$588$	3.32805e6	−	321182.i	0.396959	−	0.0383096i
$589$	1.39890e6	−	2.42296e6i	0.166149	−	0.287779i
$590$	−638846.	+	1.10651e6i	−0.0755555	+	0.130866i
$591$	−1.98766e6	+	4.36402e6i	−0.234085	+	0.513947i
$592$	344655.	+	596960.i	0.0404185	+	0.0700069i
$593$	2.04142e6			0.238394			0.119197	−	0.992871i	$-0.461968\pi$
$593$	2.04142e6			0.238394			0.119197	+	0.992871i	$0.461968\pi$
$594$	−426838.	+	1.78301e6i	−0.0496360	+	0.207342i
$595$	2.88667e6			0.334275
$596$	−631806.	−	1.09432e6i	−0.0728565	−	0.126191i
$597$	2.36548e6	−	5.19355e6i	0.271633	−	0.596387i
$598$	7.66103e6	−	1.32693e7i	0.876061	−	1.51738i
$599$	1.44064e6	−	2.49526e6i	0.164054	−	0.284150i	−0.772265	−	0.635301i	$-0.780876\pi$
$599$	1.44064e6	−	2.49526e6i	0.164054	−	0.284150i	0.936319	+	0.351150i	$0.114209\pi$
$600$	−2.15023e6	+	207514.i	−0.243841	+	0.0235325i
$601$	−1.12947e6	−	1.95629e6i	−0.127552	−	0.220926i	0.795176	−	0.606379i	$-0.207379\pi$
$601$	−1.12947e6	−	1.95629e6i	−0.127552	−	0.220926i	−0.922728	+	0.385453i	$0.874045\pi$
$602$	3.69273e6			0.415295
$603$	4.79043e6	−	933318.i	0.536514	−	0.104529i
$604$	−2.45617e6			−0.273946
$605$	−226784.	−	392801.i	−0.0251897	−	0.0436299i
$606$	−4.28717e6	−	6.00764e6i	−0.474230	−	0.664542i
$607$	−4.70005e6	+	8.14073e6i	−0.517763	+	0.896792i	0.482024	+	0.876158i	$0.339902\pi$
$607$	−4.70005e6	+	8.14073e6i	−0.517763	+	0.896792i	−0.999787	+	0.0206337i	$0.993432\pi$
$608$	223697.	−	387455.i	0.0245415	−	0.0425071i
$609$	1.74384e6	+	2.44365e6i	0.190530	+	0.266990i
$610$	−1.68438e6	−	2.91743e6i	−0.183280	−	0.317450i
$611$	−2.29580e7			−2.48789
$612$	−6.09704e6	+	1.18789e6i	−0.658023	+	0.128202i
$613$	1.17191e7			1.25963			0.629813	−	0.776747i	$-0.283131\pi$
$613$	1.17191e7			1.25963			0.629813	+	0.776747i	$0.283131\pi$
$614$	−1.89853e6	−	3.28836e6i	−0.203235	−	0.352013i
$615$	9.13826e6	−	881912.i	0.974262	−	0.0940238i
$616$	−225828.	+	391146.i	−0.0239787	+	0.0415324i
$617$	412995.	−	715329.i	0.0436749	−	0.0756472i	−0.843362	−	0.537347i	$-0.819427\pi$
$617$	412995.	−	715329.i	0.0436749	−	0.0756472i	0.887037	+	0.461699i	$0.152760\pi$
$618$	−1.54314e6	+	3.38805e6i	−0.162530	+	0.356844i
$619$	7.24791e6	+	1.25537e7i	0.760302	+	1.31688i	0.942695	+	0.333656i	$0.108282\pi$
$619$	7.24791e6	+	1.25537e7i	0.760302	+	1.31688i	−0.182393	+	0.983226i	$0.558384\pi$
$620$	−3.17407e6			−0.331618
$621$	−3.74070e6	+	1.56258e7i	−0.389245	+	1.62598i
$622$	485627.			0.0503300
$623$	−2.92533e6	−	5.06681e6i	−0.301963	−	0.523016i
$624$	−1.49378e6	+	3.27968e6i	−0.153576	+	0.337186i
$625$	−844673.	+	1.46302e6i	−0.0864945	+	0.149813i
$626$	−5.66187e6	+	9.80665e6i	−0.577463	+	1.00020i
$627$	−820287.	+	79163.9i	−0.0833291	+	0.00804190i
$628$	2.11289e6	+	3.65963e6i	0.213785	+	0.370287i
$629$	4.30188e6			0.433542
$630$	−571051.	+	1.66079e6i	−0.0573223	+	0.166711i
$631$	483206.			0.0483125			0.0241562	−	0.999708i	$-0.492310\pi$
$631$	483206.			0.0483125			0.0241562	+	0.999708i	$0.492310\pi$
$632$	1.31253e6	+	2.27337e6i	0.130713	+	0.226401i
$633$	−1.01124e7	−	1.41706e7i	−1.00310	−	1.40566i
$634$	−3.94156e6	+	6.82698e6i	−0.389444	+	0.674536i
$635$	2.59797e6	−	4.49981e6i	0.255681	−	0.442853i
$636$	−4.90994e6	−	6.88033e6i	−0.481319	−	0.674476i
$637$	−6.05301e6	−	1.04841e7i	−0.591048	−	1.02373i
$638$	1.59816e6			0.155442
$639$	−8.73977e6	−	1.00452e7i	−0.846736	−	0.973206i
$640$	−507564.			−0.0489825
$641$	1.50931e6	+	2.61421e6i	0.145089	+	0.251302i	0.929406	−	0.369058i	$-0.120320\pi$
$641$	1.50931e6	+	2.61421e6i	0.145089	+	0.251302i	−0.784317	+	0.620360i	$0.786986\pi$
$642$	1.30831e7	−	1.26262e6i	1.25277	−	0.120902i
$643$	1.47857e6	−	2.56096e6i	0.141031	−	0.244273i	−0.786854	−	0.617139i	$-0.788292\pi$
$643$	1.47857e6	−	2.56096e6i	0.141031	−	0.244273i	0.927885	+	0.372866i	$0.121625\pi$
$644$	−1.97910e6	+	3.42790e6i	−0.188041	+	0.325697i
$645$	3.16840e6	−	6.95642e6i	0.299876	−	0.658395i
$646$	−1.39606e6	−	2.41804e6i	−0.131620	−	0.227973i
$647$	2.67965e6			0.251662			0.125831	−	0.992052i	$-0.459840\pi$
$647$	2.67965e6			0.251662			0.125831	+	0.992052i	$0.459840\pi$
$648$	522712.	−	3.74281e6i	0.0489018	−	0.350155i
$649$	−1.24761e6			−0.116270
$650$	3.91081e6	+	6.77373e6i	0.363065	+	0.628846i
$651$	2.41319e6	−	5.29831e6i	0.223172	−	0.489987i
$652$	−3.47932e6	+	6.02637e6i	−0.320535	+	0.555184i
$653$	1.38283e6	−	2.39514e6i	0.126907	−	0.219810i	−0.795569	−	0.605862i	$-0.792828\pi$
$653$	1.38283e6	−	2.39514e6i	0.126907	−	0.219810i	0.922477	+	0.386052i	$0.126162\pi$
$654$	9.63717e6	−	930060.i	0.881059	−	0.0850289i
$655$	−5.97062e6	−	1.03414e7i	−0.543771	−	0.941839i
$656$	−4.86679e6			−0.441553
$657$	−433954.	−	498771.i	−0.0392221	−	0.0450804i
$658$	5.93080e6			0.534009
$659$	6.28309e6	+	1.08826e7i	0.563585	+	0.976158i	0.997180	+	0.0750503i	$0.0239117\pi$
$659$	6.28309e6	+	1.08826e7i	0.563585	+	0.976158i	−0.433594	+	0.901108i	$0.642755\pi$
$660$	543082.	+	761025.i	0.0485295	+	0.0680047i
$661$	1.18262e6	−	2.04837e6i	0.105279	−	0.182349i	−0.808573	−	0.588396i	$-0.799760\pi$
$661$	1.18262e6	−	2.04837e6i	0.105279	−	0.182349i	0.913852	+	0.406047i	$0.133093\pi$
$662$	−7.34686e6	+	1.27251e7i	−0.651564	+	1.12854i
$663$	1.30645e7	+	1.83074e7i	1.15428	+	1.61750i
$664$	−626319.	−	1.08482e6i	−0.0551284	−	0.0954852i
$665$	−789412.			−0.0692229
$666$	−851013.	+	2.47500e6i	−0.0743448	+	0.216217i
$667$	1.40058e7			1.21897
$668$	−4.00215e6	−	6.93193e6i	−0.347018	−	0.601054i
$669$	−1.73748e7	+	1.67680e6i	−1.50091	+	0.144849i
$670$	1.24440e6	−	2.15536e6i	0.107096	−	0.185495i
$671$	1.64473e6	−	2.84875e6i	0.141022	−	0.244257i
$672$	385892.	−	847249.i	0.0329642	−	0.0723749i
$673$	−5.51581e6	−	9.55366e6i	−0.469431	−	0.813078i	0.529959	−	0.848024i	$-0.322207\pi$
$673$	−5.51581e6	−	9.55366e6i	−0.469431	−	0.813078i	−0.999389	+	0.0349458i	$0.988874\pi$
$674$	1.48438e7			1.25862
$675$	−5.95325e6	−	5.64208e6i	−0.502915	−	0.476628i
$676$	7.10793e6			0.598241
$677$	2.70590e6	+	4.68675e6i	0.226903	+	0.393007i	0.956889	−	0.290455i	$-0.0938067\pi$
$677$	2.70590e6	+	4.68675e6i	0.226903	+	0.393007i	−0.729986	+	0.683462i	$0.760473\pi$
$678$	−5.22942e6	+	1.14815e7i	−0.436897	+	0.959234i
$679$	−4.77697e6	+	8.27395e6i	−0.397629	+	0.688713i
$680$	−1.58381e6	+	2.74325e6i	−0.131351	+	0.227506i
$681$	−1.07696e7	+	1.03934e6i	−0.889877	+	0.0858799i
$682$	−1.54968e6	−	2.68412e6i	−0.127579	−	0.220974i
$683$	6.16738e6			0.505882			0.252941	−	0.967482i	$-0.418602\pi$
$683$	6.16738e6			0.505882			0.252941	+	0.967482i	$0.418602\pi$
$684$	1.66735e6	−	324849.i	0.136266	−	0.0265486i
$685$	3.53058e6			0.287488
$686$	3.52417e6	+	6.10405e6i	0.285922	+	0.495231i
$687$	−6.72670e6	−	9.42617e6i	−0.543764	−	0.761980i
$688$	−2.02608e6	+	3.50927e6i	−0.163187	+	0.282647i
$689$	−1.53024e7	+	2.65045e7i	−1.22804	+	2.12702i
$690$	4.75943e6	+	6.66942e6i	0.380568	+	0.533293i
$691$	−1.24951e6	−	2.16422e6i	−0.0995508	−	0.172427i	0.811948	−	0.583730i	$-0.198407\pi$
$691$	−1.24951e6	−	2.16422e6i	−0.0995508	−	0.172427i	−0.911499	+	0.411303i	$0.865074\pi$
$692$	3.39543e6			0.269544
$693$	−1.68323e6	+	327944.i	−0.133141	+	0.0259398i
$694$	−1.42261e7			−1.12121
$695$	2.70874e6	+	4.69168e6i	0.212719	+	0.368439i
$696$	−3.27902e6	+	316451.i	−0.256579	+	0.0247618i
$697$	−1.51864e7	+	2.63037e7i	−1.18406	+	2.05085i
$698$	4.84108e6	−	8.38500e6i	0.376100	−	0.651425i
$699$	1.46494e6	−	3.21636e6i	0.113404	−	0.248984i
$700$	−1.01029e6	−	1.74988e6i	−0.0779296	−	0.134978i
$701$	1.17108e7			0.900098			0.450049	−	0.893004i	$-0.351407\pi$
$701$	1.17108e7			0.900098			0.450049	+	0.893004i	$0.351407\pi$
$702$	−1.31173e7	+	3.89480e6i	−1.00462	+	0.298292i
$703$	−1.17643e6			−0.0897794
$704$	−247808.	−	429216.i	−0.0188445	−	0.0326396i
$705$	5.08869e6	−	1.11725e7i	0.385597	−	0.846601i
$706$	4.79632e6	−	8.30746e6i	0.362156	−	0.627273i
$707$	3.45171e6	−	5.97853e6i	0.259708	−	0.449828i
$708$	2.55979e6	−	247040.i	0.191921	−	0.0185218i
$709$	7.68734e6	+	1.33149e7i	0.574329	+	0.994767i	0.996114	+	0.0880712i	$0.0280703\pi$
$709$	7.68734e6	+	1.33149e7i	0.574329	+	0.994767i	−0.421785	+	0.906696i	$0.638596\pi$
$710$	−6.78994e6			−0.505499
$711$	−3.24087e6	+	9.42543e6i	−0.240429	+	0.699241i
$712$	6.42010e6			0.474616
$713$	−1.35810e7	−	2.35229e7i	−1.00048	−	1.73288i
$714$	−3.37501e6	−	4.72942e6i	−0.247759	−	0.347186i
$715$	1.69258e6	−	2.93163e6i	0.123818	−	0.214459i
$716$	3.27056e6	−	5.66477e6i	0.238418	−	0.412952i
$717$	−3.32156e6	−	4.65452e6i	−0.241293	−	0.338125i
$718$	−2.28257e6	−	3.95353e6i	−0.165239	−	0.286203i
$719$	1.23938e7			0.894093			0.447047	−	0.894511i	$-0.352476\pi$
$719$	1.23938e7			0.894093			0.447047	+	0.894511i	$0.352476\pi$
$720$	−1.26496e6	−	1.45390e6i	−0.0909380	−	0.104521i
$721$	−3.48227e6			−0.249474
$722$	−4.57042e6	−	7.91620e6i	−0.326297	−	0.565163i
$723$	2.26573e6	−	218660.i	0.161199	−	0.0155569i
$724$	212292.	−	367701.i	0.0150518	−	0.0260704i
$725$	−3.57486e6	+	6.19184e6i	−0.252589	+	0.437497i
$726$	−378403.	+	830806.i	−0.0266448	+	0.0585003i
$727$	6.46839e6	+	1.12036e7i	0.453900	+	0.786177i	0.998624	−	0.0524378i	$-0.0166991\pi$
$727$	6.46839e6	+	1.12036e7i	0.453900	+	0.786177i	−0.544725	+	0.838615i	$0.683366\pi$
$728$	−3.37089e6			−0.235731
$729$	1.20238e7	−	7.83061e6i	0.837962	−	0.545728i
$730$	−337140.			−0.0234155
$731$	1.26444e7	+	2.19008e7i	0.875196	+	1.51588i
$732$	−2.81049e6	+	6.17060e6i	−0.193867	+	0.425647i
$733$	1.70532e6	−	2.95370e6i	0.117232	−	0.203051i	−0.801438	−	0.598078i	$-0.795931\pi$
$733$	1.70532e6	−	2.95370e6i	0.117232	−	0.203051i	0.918670	+	0.395027i	$0.129265\pi$
$734$	−2.46722e6	+	4.27334e6i	−0.169031	+	0.292771i
$735$	6.44378e6	−	621874.i	0.439969	−	0.0424604i
$736$	−2.17173e6	−	3.76154e6i	−0.147778	−	0.255959i
$737$	2.43021e6			0.164807
$738$	−1.21291e7	−	1.39407e7i	−0.819761	−	0.942202i
$739$	−2.17054e6			−0.146203			−0.0731016	−	0.997324i	$-0.523290\pi$
$739$	−2.17054e6			−0.146203			−0.0731016	+	0.997324i	$0.523290\pi$
$740$	667323.	+	1.15584e6i	0.0447978	+	0.0775921i
$741$	−3.57274e6	−	5.00651e6i	−0.239032	−	0.334957i
$742$	3.95312e6	−	6.84700e6i	0.263590	−	0.456552i
$743$	−1.22340e7	+	2.11899e7i	−0.813012	+	1.40818i	0.0977351	+	0.995212i	$0.468840\pi$
$743$	−1.22340e7	+	2.11899e7i	−0.813012	+	1.40818i	−0.910747	+	0.412965i	$0.864493\pi$
$744$	3.71103e6	+	5.20029e6i	0.245789	+	0.344426i
$745$	−1.22331e6	−	2.11883e6i	−0.0807503	−	0.139864i
$746$	−3.86308e6			−0.254148
$747$	1.54649e6	−	4.49766e6i	0.101402	−	0.294907i
$748$	−3.09306e6			−0.202132
$749$	6.14714e6	+	1.06472e7i	0.400376	+	0.693472i
$750$	−1.01719e7	+	981662.i	−0.660309	+	0.0637249i
$751$	1.25126e7	−	2.16725e7i	0.809560	−	1.40220i	−0.103610	−	0.994618i	$-0.533039\pi$
$751$	1.25126e7	−	2.16725e7i	0.809560	−	1.40220i	0.913169	−	0.407580i	$-0.133627\pi$
$752$	−3.25403e6	+	5.63614e6i	−0.209834	+	0.363444i
$753$	−2.78996e6	+	6.12552e6i	−0.179312	+	0.393691i
$754$	5.96385e6	+	1.03297e7i	0.382031	+	0.661696i
$755$	−4.75564e6			−0.303628
$756$	3.38864e6	−	1.00616e6i	0.215636	−	0.0640266i
$757$	−2.67793e7			−1.69847			−0.849237	−	0.528011i	$-0.822938\pi$
$757$	−2.67793e7			−1.69847			−0.849237	+	0.528011i	$0.822938\pi$
$758$	−3.80252e6	−	6.58615e6i	−0.240380	−	0.416350i
$759$	−3.31622e6	+	7.28097e6i	−0.208949	+	0.458759i
$760$	433123.	−	750192.i	0.0272005	−	0.0471127i
$761$	−8.42181e6	+	1.45870e7i	−0.527161	+	0.913070i	0.472337	+	0.881418i	$0.343410\pi$
$761$	−8.42181e6	+	1.45870e7i	−0.527161	+	0.913070i	−0.999499	+	0.0316527i	$0.989923\pi$
$762$	−1.04098e7	+	1.00462e6i	−0.649463	+	0.0626782i
$763$	4.52806e6	+	7.84282e6i	0.281579	+	0.487709i
$764$	−1.50052e7			−0.930057
$765$	−1.18051e7	+	2.29999e6i	−0.729318	+	0.142093i
$766$	4.27329e6			0.263142
$767$	−4.65572e6	−	8.06395e6i	−0.285758	−	0.494948i
$768$	593429.	+	831576.i	0.0363050	+	0.0508744i
$769$	1.59633e7	−	2.76492e7i	0.973433	−	1.68603i	0.288420	−	0.957504i	$-0.406870\pi$
$769$	1.59633e7	−	2.76492e7i	0.973433	−	1.68603i	0.685013	−	0.728531i	$-0.259796\pi$
$770$	−437249.	+	757338.i	−0.0265768	+	0.0460323i
$771$	2.46082e6	+	3.44836e6i	0.149088	+	0.208919i
$772$	−99220.4	−	171855.i	−0.00599181	−	0.0103781i
$773$	7.82184e6			0.470825			0.235413	−	0.971895i	$-0.424356\pi$
$773$	7.82184e6			0.470825			0.235413	+	0.971895i	$0.424356\pi$
$774$	−1.51016e7	+	2.94224e6i	−0.906086	+	0.176533i
$775$	1.38657e7			0.829252
$776$	−5.24191e6	−	9.07926e6i	−0.312490	−	0.541248i
$777$	−2.43673e6	+	235163.i	−0.144795	+	0.0139739i
$778$	−1.69618e6	+	2.93787e6i	−0.100467	+	0.174014i
$779$	4.15301e6	−	7.19322e6i	0.245199	−	0.424698i
$780$	−2.89226e6	+	6.35013e6i	−0.170216	+	0.373720i
$781$	−3.31505e6	−	5.74183e6i	−0.194474	−	0.336839i
$782$	−2.71068e7			−1.58512
$783$	−9.07849e6	−	8.60396e6i	−0.529187	−	0.501527i
$784$	−3.43178e6			−0.199402
$785$	4.09099e6	+	7.08580e6i	0.236948	+	0.410407i
$786$	−9.96235e6	+	2.18729e7i	−0.575182	+	1.26285i
$787$	−1.40790e6	+	2.43855e6i	−0.0810278	+	0.140344i	−0.903692	−	0.428184i	$-0.859154\pi$
$787$	−1.40790e6	+	2.43855e6i	−0.0810278	+	0.140344i	0.822664	+	0.568528i	$0.192487\pi$
$788$	2.46098e6	−	4.26254e6i	0.141186	−	0.244542i
$789$	1.80868e7	−	1.74551e6i	1.03435	−	0.0998228i
$790$	2.54133e6	+	4.40172e6i	0.144875	+	0.250931i
$791$	−1.18008e7			−0.670611
$792$	611881.	−	1.77953e6i	0.0346620	−	0.100808i
$793$	2.45505e7			1.38636
$794$	1.36320e6	+	2.36113e6i	0.0767377	+	0.132914i
$795$	−9.50665e6	−	1.33217e7i	−0.533469	−	0.747554i
$796$	−2.92877e6	+	5.07278e6i	−0.163833	+	0.283768i
$797$	4.96955e6	−	8.60751e6i	0.277122	−	0.479990i	−0.693546	−	0.720412i	$-0.743953\pi$
$797$	4.96955e6	−	8.60751e6i	0.277122	−	0.479990i	0.970668	+	0.240423i	$0.0772860\pi$
$798$	922958.	+	1.29335e6i	0.0513067	+	0.0718965i
$799$	2.03079e7	+	3.51743e7i	1.12538	+	1.94921i
$800$	2.21725e6			0.122487
$801$	1.60003e7	+	1.83901e7i	0.881143	+	1.01275i
$802$	1.88414e7			1.03438
$803$	−164602.	−	285098.i	−0.00900835	−	0.0156029i
$804$	−4.98618e6	+	481204.i	−0.272037	+	0.0262536i
$805$	−3.83194e6	+	6.63711e6i	−0.208415	+	0.360985i
$806$	1.15659e7	−	2.00327e7i	0.627105	−	1.08618i
$807$	4.30239e6	−	9.44616e6i	0.232555	−	0.510589i
$808$	3.78767e6	+	6.56043e6i	0.204100	+	0.353512i
$809$	−6.55900e6			−0.352343			−0.176172	−	0.984359i	$-0.556371\pi$
$809$	−6.55900e6			−0.352343			−0.176172	+	0.984359i	$0.556371\pi$
$810$	1.01208e6	−	7.24685e6i	0.0542002	−	0.388094i
$811$	1.18286e7			0.631513			0.315757	−	0.948840i	$-0.397742\pi$
$811$	1.18286e7			0.631513			0.315757	+	0.948840i	$0.397742\pi$
$812$	−1.54066e6	−	2.66850e6i	−0.0820005	−	0.142029i
$813$	−3.09588e6	+	6.79719e6i	−0.164270	+	0.360664i
$814$	−651613.	+	1.12863e6i	−0.0344690	+	0.0597021i
$815$	−6.73669e6	+	1.16683e7i	−0.355265	+	0.615337i
$816$	6.34619e6	−	612456.i	0.333647	−	0.0321995i
$817$	−3.45785e6	−	5.98917e6i	−0.181239	−	0.313915i
$818$	638558.			0.0333670
$819$	−8.40098e6	−	9.65578e6i	−0.437643	−	0.503011i
$820$	−9.42310e6			−0.489394
$821$	1.35830e7	+	2.35265e7i	0.703298	+	1.21815i	0.967302	+	0.253626i	$0.0816233\pi$
$821$	1.35830e7	+	2.35265e7i	0.703298	+	1.21815i	−0.264005	+	0.964521i	$0.585043\pi$
$822$	−4.12785e6	−	5.78438e6i	−0.213081	−	0.298591i
$823$	−1.88094e7	+	3.25788e7i	−0.967998	+	1.67662i	−0.266661	+	0.963790i	$0.585920\pi$
$823$	−1.88094e7	+	3.25788e7i	−0.967998	+	1.67662i	−0.701336	+	0.712831i	$0.747413\pi$
$824$	1.91060e6	−	3.30926e6i	0.0980285	−	0.169790i
$825$	−2.37241e6	−	3.32447e6i	−0.121354	−	0.170054i
$826$	1.20273e6	+	2.08319e6i	0.0613363	+	0.106238i
$827$	−1.12711e6			−0.0573061			−0.0286530	−	0.999589i	$-0.509122\pi$
$827$	−1.12711e6			−0.0573061			−0.0286530	+	0.999589i	$0.509122\pi$
$828$	5.36236e6	−	1.55954e7i	0.271819	−	0.790533i
$829$	1.59351e7			0.805318			0.402659	−	0.915350i	$-0.368086\pi$
$829$	1.59351e7			0.805318			0.402659	+	0.915350i	$0.368086\pi$
$830$	−1.21268e6	−	2.10043e6i	−0.0611015	−	0.105831i
$831$	1.69324e7	−	1.63411e6i	0.850583	−	0.0820878i
$832$	1.84949e6	−	3.20341e6i	0.0926283	−	0.160437i
$833$	−1.07086e7	+	1.85478e7i	−0.534712	+	0.926149i
$834$	4.51970e6	−	9.92327e6i	0.225006	−	0.494015i
$835$	−7.74899e6	−	1.34216e7i	−0.384617	−	0.666177i
$836$	845855.			0.0418581
$837$	−5.64734e6	+	2.35904e7i	−0.278631	+	1.16391i
$838$	8.25902e6			0.406273
$839$	−5.69303e6	−	9.86061e6i	−0.279215	−	0.483614i	0.691975	−	0.721921i	$-0.256741\pi$
$839$	−5.69303e6	−	9.86061e6i	−0.279215	−	0.483614i	−0.971190	+	0.238307i	$0.923407\pi$
$840$	747166.	−	1.64045e6i	0.0365358	−	0.0802166i
$841$	4.80404e6	−	8.32085e6i	0.234216	−	0.405674i
$842$	−6.29112e6	+	1.08965e7i	−0.305807	+	0.529674i
$843$	−3.72446e7	+	3.59438e6i	−1.80507	+	0.174203i
$844$	8.93422e6	+	1.54745e7i	0.431718	+	0.747758i
$845$	1.37624e7			0.663060
$846$	−2.42542e7	+	4.72545e6i	−1.16510	+	0.226995i
$847$	−853912.			−0.0408982
$848$	4.33787e6	+	7.51342e6i	0.207151	+	0.358796i
$849$	−2.60755e6	−	3.65397e6i	−0.124155	−	0.173979i
$850$	6.91876e6	−	1.19836e7i	0.328459	−	0.568907i
$851$	−5.71057e6	+	9.89100e6i	−0.270306	+	0.468184i
$852$	7.93859e6	+	1.11244e7i	0.374666	+	0.525022i
$853$	−7.03043e6	−	1.21771e7i	−0.330833	−	0.573020i	0.651842	−	0.758355i	$-0.273996\pi$
$853$	−7.03043e6	−	1.21771e7i	−0.330833	−	0.573020i	−0.982675	+	0.185335i	$0.940663\pi$
$854$	−6.34221e6			−0.297575
$855$	3.22833e6	−	628975.i	0.151030	−	0.0294251i
$856$	−1.34909e7			−0.629298
$857$	5.12938e6	+	8.88434e6i	0.238568	+	0.413212i	0.960304	−	0.278957i	$-0.0899886\pi$
$857$	5.12938e6	+	8.88434e6i	0.238568	+	0.413212i	−0.721736	+	0.692169i	$0.756655\pi$
$858$	−6.78200e6	+	654515.i	−0.314514	+	0.0303530i
$859$	−5.75662e6	+	9.97075e6i	−0.266185	+	0.461047i	−0.967874	−	0.251438i	$-0.919097\pi$
$859$	−5.75662e6	+	9.97075e6i	−0.266185	+	0.461047i	0.701688	+	0.712484i	$0.252430\pi$
$860$	−3.92290e6	+	6.79466e6i	−0.180868	+	0.313272i
$861$	7.16421e6	−	1.57295e7i	0.329352	−	0.723112i
$862$	5.09038e6	+	8.81680e6i	0.233336	+	0.404150i
$863$	2.57236e7			1.17572			0.587860	−	0.808962i	$-0.299970\pi$
$863$	2.57236e7			1.17572			0.587860	+	0.808962i	$0.299970\pi$
$864$	−903062.	+	3.77232e6i	−0.0411560	+	0.171919i
$865$	6.57425e6			0.298749
$866$	948696.	+	1.64319e6i	0.0429865	+	0.0744549i
$867$	7.31843e6	−	1.60680e7i	0.330651	−	0.725965i
$868$	−2.98785e6	+	5.17510e6i	−0.134604	+	0.233142i
$869$	−2.48151e6	+	4.29810e6i	−0.111472	+	0.193075i
$870$	−6.34886e6	+	612713.i	−0.284379	+	0.0274447i
$871$	9.06881e6	+	1.57076e7i	0.405047	+	0.701561i
$872$	−9.93755e6			−0.442576
$873$	1.29432e7	−	3.76427e7i	0.574785	−	1.67165i
$874$	7.41285e6			0.328251
$875$	−4.77928e6	−	8.27796e6i	−0.211029	−	0.365513i
$876$	394174.	+	552358.i	0.0173551	+	0.0243198i
$877$	−8.13238e6	+	1.40857e7i	−0.357042	+	0.618414i	−0.987465	−	0.157837i	$-0.949548\pi$
$877$	−8.13238e6	+	1.40857e7i	−0.357042	+	0.618414i	0.630424	+	0.776251i	$0.282881\pi$
$878$	194430.	−	336763.i	0.00851191	−	0.0147431i
$879$	−1.27324e7	−	1.78420e7i	−0.555825	−	0.778881i
$880$	−479807.	−	831050.i	−0.0208862	−	0.0361760i
$881$	3.89182e7			1.68932			0.844661	−	0.535301i	$-0.179802\pi$
$881$	3.89182e7			1.68932			0.844661	+	0.535301i	$0.179802\pi$
$882$	−8.55273e6	−	9.83019e6i	−0.370197	−	0.425491i
$883$	2.17478e7			0.938672			0.469336	−	0.883020i	$-0.344493\pi$
$883$	2.17478e7			0.938672			0.469336	+	0.883020i	$0.344493\pi$
$884$	−1.15424e7	−	1.99920e7i	−0.496781	−	0.860449i
$885$	4.95629e6	−	478319.i	0.212715	−	0.0205286i
$886$	4.75430e6	−	8.23469e6i	0.203471	−	0.352422i
$887$	1.15199e7	−	1.99531e7i	0.491633	−	0.851533i	−0.508321	−	0.861168i	$-0.669734\pi$
$887$	1.15199e7	−	1.99531e7i	0.491633	−	0.851533i	0.999954	+	0.00963462i	$0.00306684\pi$
$888$	1.11347e6	−	2.44469e6i	0.0473855	−	0.104038i
$889$	−4.89108e6	−	8.47159e6i	−0.207563	−	0.359510i
$890$	1.24306e7			0.526039
$891$	6.62234e6	−	2.68228e6i	0.279459	−	0.113190i
$892$	1.79163e7			0.753941
$893$	−5.55356e6	−	9.61905e6i	−0.233047	−	0.403649i
$894$	−2.04116e6	+	4.48149e6i	−0.0854149	+	0.187534i
$895$	6.33247e6	−	1.09682e7i	0.264250	−	0.457695i
$896$	−477785.	+	827548.i	−0.0198821	+	0.0344368i
$897$	−5.94357e7	+	5.73600e6i	−2.46641	+	0.238028i
$898$	−6.63281e6	−	1.14884e7i	−0.274477	−	0.475409i
$899$	2.11446e7			0.872571
$900$	5.52587e6	+	6.35122e6i	0.227402	+	0.261367i
$901$	5.41440e7			2.22197
$902$	−4.60063e6	−	7.96853e6i	−0.188279	−	0.326108i
$903$	−8.35944e6	−	1.17141e7i	−0.341160	−	0.478069i
$904$	6.47470e6	−	1.12145e7i	0.263511	−	0.456414i
$905$	411041.	−	711944.i	0.0166826	−	0.0288951i
$906$	5.56016e6	+	7.79148e6i	0.225043	+	0.315355i
$907$	−7.96941e6	−	1.38034e7i	−0.321668	−	0.557146i	0.659164	−	0.751999i	$-0.270910\pi$
$907$	−7.96941e6	−	1.38034e7i	−0.321668	−	0.557146i	−0.980832	+	0.194853i	$0.937577\pi$
$908$	1.11052e7			0.447006
$909$	−9.35240e6	+	2.71996e7i	−0.375417	+	1.09182i
$910$	−6.52673e6			−0.261272
$911$	3.23738e6	+	5.60730e6i	0.129240	+	0.223850i	0.923382	−	0.383881i	$-0.125413\pi$
$911$	3.23738e6	+	5.60730e6i	0.129240	+	0.223850i	−0.794142	+	0.607732i	$0.792080\pi$
$912$	−1.73548e6	+	167487.i	−0.0690929	+	0.00666799i
$913$	1.18413e6	−	2.05098e6i	0.0470137	−	0.0814300i
$914$	3.53112e6	−	6.11608e6i	0.139813	−	0.242163i
$915$	−5.44168e6	+	1.19475e7i	−0.214872	+	0.471765i
$916$	5.94297e6	+	1.02935e7i	0.234026	+	0.405345i
$917$	−2.24813e7			−0.882871
$918$	1.75704e7	+	1.66520e7i	0.688138	+	0.652170i
$919$	5.51910e6			0.215566			0.107783	−	0.994174i	$-0.465625\pi$
$919$	5.51910e6			0.215566			0.107783	+	0.994174i	$0.465625\pi$
$920$	−4.20490e6	−	7.28311e6i	−0.163790	−	0.283692i
$921$	−6.13355e6	+	1.34666e7i	−0.238267	+	0.523128i
$922$	1.50335e7	−	2.60387e7i	0.582414	−	1.00877i
$923$	2.47415e7	−	4.28536e7i	0.955922	−	1.65571i
$924$	1.75201e6	−	169083.i	0.0675084	−	0.00651508i
$925$	−2.91514e6	−	5.04917e6i	−0.112023	−	0.194029i
$926$	−2.99141e7			−1.14643
$927$	1.42409e7	−	2.77455e6i	0.544299	−	0.106046i
$928$	3.38123e6			0.128886
$929$	−1.16018e7	−	2.00949e7i	−0.441047	−	0.763916i	0.556720	−	0.830700i	$-0.312060\pi$
$929$	−1.16018e7	−	2.00949e7i	−0.441047	−	0.763916i	−0.997767	+	0.0667838i	$0.978726\pi$
$930$	7.18532e6	+	1.00688e7i	0.272420	+	0.381744i
$931$	2.92846e6	−	5.07225e6i	0.110730	−	0.191790i
$932$	−1.81379e6	+	3.14157e6i	−0.0683985	+	0.118470i
$933$	−1.09934e6	−	1.54051e6i	−0.0413455	−	0.0579377i
$934$	1.27617e7	+	2.21038e7i	0.478674	+	0.829087i
$935$	−5.98880e6			−0.224032
$936$	1.37854e7	−	2.68580e6i	0.514315	−	0.100204i
$937$	1.69571e7			0.630960			0.315480	−	0.948932i	$-0.397834\pi$
$937$	1.69571e7			0.630960			0.315480	+	0.948932i	$0.397834\pi$
$938$	−2.34277e6	−	4.05780e6i	−0.0869407	−	0.150586i
$939$	4.39259e7	−	4.23918e6i	1.62576	−	0.156898i
$940$	−6.30046e6	+	1.09127e7i	−0.232570	+	0.402822i
$941$	7.99486e6	−	1.38475e7i	0.294332	−	0.509797i	−0.680498	−	0.732750i	$-0.738236\pi$
$941$	7.99486e6	−	1.38475e7i	0.294332	−	0.509797i	0.974829	+	0.222953i	$0.0715696\pi$
$942$	6.82607e6	−	1.49870e7i	0.250636	−	0.550286i
$943$	−4.03188e7	−	6.98342e7i	−1.47648	−	2.55734i
$944$	−2.63958e6			−0.0964062
$945$	6.56110e6	−	1.94812e6i	0.238999	−	0.0709638i
$946$	−7.66110e6			−0.278332
$947$	2.52795e7	+	4.37853e7i	0.915995	+	1.58655i	0.805439	+	0.592679i	$0.201930\pi$
$947$	2.52795e7	+	4.37853e7i	0.915995	+	1.58655i	0.110556	+	0.993870i	$0.464737\pi$
$948$	4.24037e6	−	9.30998e6i	0.153244	−	0.336456i
$949$	1.22849e6	−	2.12780e6i	0.0442798	−	0.0766948i
$950$	−1.89206e6	+	3.27715e6i	−0.0680184	+	0.117811i
$951$	3.05793e7	−	2.95114e6i	1.09642	−	0.105813i
$952$	2.98178e6	+	5.16459e6i	0.106631	+	0.184690i
$953$	−3.81662e7			−1.36128			−0.680639	−	0.732619i	$-0.738298\pi$
$953$	−3.81662e7			−1.36128			−0.680639	+	0.732619i	$0.738298\pi$
$954$	−1.07110e7	+	3.11507e7i	−0.381029	+	1.10815i
$955$	−2.90532e7			−1.03083
$956$	2.93456e6	+	5.08281e6i	0.103848	+	0.179870i
$957$	−3.61783e6	−	5.06969e6i	−0.127693	−	0.178938i
$958$	1.02810e7	−	1.78072e7i	0.361926	−	0.626875i
$959$	3.32344e6	−	5.75636e6i	0.116692	−	0.202116i
$960$	1.14900e6	+	1.61010e6i	0.0402385	+	0.0563865i
$961$	−6.18863e6	−	1.07190e7i	−0.216165	−	0.374409i
$962$	−9.72651e6			−0.338859
$963$	−3.36222e7	−	3.86441e7i	−1.16832	−	1.34282i
$964$	−2.33635e6			−0.0809740
$965$	−192111.	−	332746.i	−0.00664101	−	0.0115026i
$966$	1.53542e7	−	1.48180e6i	0.529401	−	0.0510912i
$967$	−1.63195e7	+	2.82662e7i	−0.561229	+	0.972078i	0.436160	+	0.899869i	$0.356338\pi$
$967$	−1.63195e7	+	2.82662e7i	−0.561229	+	0.972078i	−0.997390	+	0.0722089i	$0.976995\pi$
$968$	468512.	−	811487.i	0.0160706	−	0.0278351i
$969$	−4.51021e6	+	9.90244e6i	−0.154308	+	0.338792i
$970$	−1.01494e7	−	1.75793e7i	−0.346347	−	0.599891i
$971$	3.21888e7			1.09561			0.547806	−	0.836605i	$-0.315463\pi$
$971$	3.21888e7			1.09561			0.547806	+	0.836605i	$0.315463\pi$
$972$	−1.30563e7	+	6.81465e6i	−0.443255	+	0.231354i
$973$	1.01993e7			0.345371
$974$	1.58323e7	+	2.74223e7i	0.534744	+	0.926205i
$975$	1.26346e7	−	2.77400e7i	0.425647	−	0.934533i
$976$	3.47975e6	−	6.02711e6i	0.116929	−	0.202528i
$977$	−5.38762e6	+	9.33163e6i	−0.180576	+	0.312767i	−0.942077	−	0.335397i	$-0.891130\pi$
$977$	−5.38762e6	+	9.33163e6i	−0.180576	+	0.312767i	0.761501	+	0.648164i	$0.224463\pi$
$978$	2.69932e7	−	2.60505e6i	0.902418	−	0.0870903i
$979$	6.06900e6	+	1.05118e7i	0.202377	+	0.350527i
$980$	−6.64463e6			−0.221007
$981$	−2.47665e7	−	2.84657e7i	−0.821660	−	0.944386i
$982$	−2.08939e6			−0.0691419
$983$	1.01149e7	+	1.75196e7i	0.333872	+	0.578283i	0.983267	−	0.182168i	$-0.0583114\pi$
$983$	1.01149e7	+	1.75196e7i	0.333872	+	0.578283i	−0.649396	+	0.760451i	$0.724978\pi$
$984$	1.10172e7	+	1.54385e7i	0.362730	+	0.508296i
$985$	4.76496e6	−	8.25316e6i	0.156484	−	0.271038i
$986$	1.05508e7	−	1.82746e7i	0.345617	−	0.598626i
$987$	−1.34259e7	−	1.88138e7i	−0.438682	−	0.614728i
$988$	3.15648e6	+	5.46718e6i	0.102875	+	0.178185i
$989$	−6.71399e7			−2.18268
$990$	1.18473e6	−	3.44554e6i	0.0384176	−	0.111730i
$991$	−2.44727e7			−0.791585			−0.395793	−	0.918340i	$-0.629530\pi$
$991$	−2.44727e7			−0.791585			−0.395793	+	0.918340i	$0.629530\pi$
$992$	−3.27866e6	−	5.67880e6i	−0.105783	−	0.183222i
$993$	5.69983e7	−	5.50077e6i	1.83438	−	0.177032i
$994$	−6.39156e6	+	1.10705e7i	−0.205183	+	0.355387i
$995$	−5.67070e6	+	9.82194e6i	−0.181585	+	0.314514i
$996$	−2.02343e6	+	4.44257e6i	−0.0646310	+	0.141901i
$997$	−2.76936e6	−	4.79667e6i	−0.0882350	−	0.152828i	0.818530	−	0.574464i	$-0.194789\pi$
$997$	−2.76936e6	−	4.79667e6i	−0.0882350	−	0.152828i	−0.906765	+	0.421636i	$0.861456\pi$
$998$	2.82039e7			0.896362
$999$	9.77771e6	−	2.90320e6i	0.309973	−	0.0920372i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	198.6.e.b.67.8	✓	24
3.2	odd	2		594.6.e.a.199.9		24
9.2	odd	6		594.6.e.a.397.9		24
9.7	even	3	inner	198.6.e.b.133.8	yes	24

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
198.6.e.b.67.8	✓	24	1.1	even	1	trivial
198.6.e.b.133.8	yes	24	9.7	even	3	inner
594.6.e.a.199.9		24	3.2	odd	2
594.6.e.a.397.9		24	9.2	odd	6

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:	\( N \)	\(=\)	\( 198 = 2 \cdot 3^{2} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 6 \)
Character orbit:	\([\chi]\)	\(=\)	198.e (of order \(3\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(2.00000 + 3.46410i) q^{2} +(6.46136 - 14.1863i) q^{3} +(-8.00000 + 13.8564i) q^{4} +(-15.4896 + 26.8288i) q^{5} +(62.0655 - 5.98979i) q^{6} +(29.1617 + 50.5095i) q^{7} -64.0000 q^{8} +(-159.502 - 183.325i) q^{9} +O(q^{10})\)	\(q+(2.00000 + 3.46410i) q^{2} +(6.46136 - 14.1863i) q^{3} +(-8.00000 + 13.8564i) q^{4} +(-15.4896 + 26.8288i) q^{5} +(62.0655 - 5.98979i) q^{6} +(29.1617 + 50.5095i) q^{7} -64.0000 q^{8} +(-159.502 - 183.325i) q^{9} -123.917 q^{10} +(-60.5000 - 104.789i) q^{11} +(144.880 + 203.022i) q^{12} +(451.536 - 782.083i) q^{13} +(-116.647 + 202.038i) q^{14} +(280.518 + 393.091i) q^{15} +(-128.000 - 221.703i) q^{16} -1597.66 q^{17} +(316.054 - 919.181i) q^{18} +436.908 q^{19} +(-247.834 - 429.261i) q^{20} +(904.966 - 87.3362i) q^{21} +(242.000 - 419.156i) q^{22} +(2120.83 - 3673.38i) q^{23} +(-413.527 + 907.923i) q^{24} +(1082.64 + 1875.19i) q^{25} +3612.29 q^{26} +(-3631.30 + 1078.21i) q^{27} -933.173 q^{28} +(1650.99 + 2859.60i) q^{29} +(-800.672 + 1757.92i) q^{30} +(3201.81 - 5545.70i) q^{31} +(512.000 - 886.810i) q^{32} +(-1877.48 + 181.191i) q^{33} +(-3195.31 - 5534.44i) q^{34} -1806.81 q^{35} +(3816.24 - 743.518i) q^{36} -2692.62 q^{37} +(873.817 + 1513.49i) q^{38} +(-8177.33 - 11458.9i) q^{39} +(991.337 - 1717.05i) q^{40} +(9505.44 - 16463.9i) q^{41} +(2112.47 + 2960.22i) q^{42} +(-7914.36 - 13708.1i) q^{43} +1936.00 q^{44} +(7389.03 - 1439.60i) q^{45} +16966.6 q^{46} +(-12711.0 - 22016.2i) q^{47} +(-3972.19 + 383.347i) q^{48} +(6702.69 - 11609.4i) q^{49} +(-4330.57 + 7500.77i) q^{50} +(-10323.0 + 22664.8i) q^{51} +(7224.57 + 12513.3i) q^{52} -33889.6 q^{53} +(-10997.6 - 10422.8i) q^{54} +3748.49 q^{55} +(-1866.35 - 3232.61i) q^{56} +(2823.02 - 6198.11i) q^{57} +(-6603.96 + 11438.4i) q^{58} +(5155.43 - 8929.47i) q^{59} +(-7690.97 + 742.238i) q^{60} +(13592.8 + 23543.4i) q^{61} +25614.5 q^{62} +(4608.33 - 13402.4i) q^{63} +4096.00 q^{64} +(13988.3 + 24228.4i) q^{65} +(-4382.63 - 6141.40i) q^{66} +(-10042.2 + 17393.6i) q^{67} +(12781.2 - 22137.8i) q^{68} +(-38408.2 - 53821.6i) q^{69} +(-3613.63 - 6258.99i) q^{70} +54794.2 q^{71} +(10208.1 + 11732.8i) q^{72} +2720.69 q^{73} +(-5385.24 - 9327.50i) q^{74} +(33597.3 - 3242.40i) q^{75} +(-3495.27 + 6053.98i) q^{76} +(3528.56 - 6111.65i) q^{77} +(23340.3 - 51245.0i) q^{78} +(-20508.3 - 35521.5i) q^{79} +7930.69 q^{80} +(-8167.37 + 58481.4i) q^{81} +76043.6 q^{82} +(9786.23 + 16950.3i) q^{83} +(-6029.57 + 13238.3i) q^{84} +(24747.1 - 42863.2i) q^{85} +(31657.4 - 54832.3i) q^{86} +(51234.7 - 4944.54i) q^{87} +(3872.00 + 6706.50i) q^{88} -100314. q^{89} +(19765.0 + 22717.1i) q^{90} +52670.2 q^{91} +(33933.2 + 58774.0i) q^{92} +(-57984.9 - 81254.6i) q^{93} +(50844.2 - 88064.7i) q^{94} +(-6767.55 + 11721.7i) q^{95} +(-9272.33 - 12993.4i) q^{96} +(81904.9 + 141863. i) q^{97} +53621.6 q^{98} +(-9560.64 + 27805.2i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 24 q + 48 q^{2} + 21 q^{3} - 192 q^{4} - 7 q^{5} + 168 q^{6} + 24 q^{7} - 1536 q^{8} - 543 q^{9}+O(q^{10}) \) 24 * q + 48 * q^2 + 21 * q^3 - 192 * q^4 - 7 * q^5 + 168 * q^6 + 24 * q^7 - 1536 * q^8 - 543 * q^9	\( 24 q + 48 q^{2} + 21 q^{3} - 192 q^{4} - 7 q^{5} + 168 q^{6} + 24 q^{7} - 1536 q^{8} - 543 q^{9} - 56 q^{10} - 1452 q^{11} + 336 q^{12} - 688 q^{13} - 96 q^{14} - 1500 q^{15} - 3072 q^{16} + 3512 q^{17} + 1164 q^{18} - 3836 q^{19} - 112 q^{20} + 1842 q^{21} + 5808 q^{22} - 680 q^{23} - 1344 q^{24} - 7759 q^{25} - 5504 q^{26} + 3024 q^{27} - 768 q^{28} - 3210 q^{29} - 4596 q^{30} + 857 q^{31} + 12288 q^{32} - 5082 q^{33} + 7024 q^{34} + 29824 q^{35} + 13344 q^{36} + 7166 q^{37} - 7672 q^{38} - 23076 q^{39} + 448 q^{40} - 27726 q^{41} - 10680 q^{42} - 15092 q^{43} + 46464 q^{44} + 38667 q^{45} - 5440 q^{46} - 28938 q^{47} - 10752 q^{48} + 17322 q^{49} + 31036 q^{50} + 37032 q^{51} - 11008 q^{52} - 12652 q^{53} + 59832 q^{54} + 1694 q^{55} - 1536 q^{56} - 168660 q^{57} + 12840 q^{58} - 33123 q^{59} + 5616 q^{60} + 36262 q^{61} + 6856 q^{62} + 47496 q^{63} + 98304 q^{64} - 31470 q^{65} - 10164 q^{66} + 35563 q^{67} - 28096 q^{68} + 123459 q^{69} + 59648 q^{70} + 295146 q^{71} + 34752 q^{72} + 12056 q^{73} + 14332 q^{74} - 244221 q^{75} + 30688 q^{76} + 2904 q^{77} - 64200 q^{78} + 128058 q^{79} + 3584 q^{80} + 90621 q^{81} - 221808 q^{82} - 209888 q^{83} - 72192 q^{84} + 228182 q^{85} + 60368 q^{86} - 89802 q^{87} + 92928 q^{88} - 46724 q^{89} + 96972 q^{90} - 305924 q^{91} - 10880 q^{92} - 187767 q^{93} + 115752 q^{94} - 118660 q^{95} - 21504 q^{96} + 240799 q^{97} + 138576 q^{98} - 35211 q^{99}+O(q^{100}) \) 24 * q + 48 * q^2 + 21 * q^3 - 192 * q^4 - 7 * q^5 + 168 * q^6 + 24 * q^7 - 1536 * q^8 - 543 * q^9 - 56 * q^10 - 1452 * q^11 + 336 * q^12 - 688 * q^13 - 96 * q^14 - 1500 * q^15 - 3072 * q^16 + 3512 * q^17 + 1164 * q^18 - 3836 * q^19 - 112 * q^20 + 1842 * q^21 + 5808 * q^22 - 680 * q^23 - 1344 * q^24 - 7759 * q^25 - 5504 * q^26 + 3024 * q^27 - 768 * q^28 - 3210 * q^29 - 4596 * q^30 + 857 * q^31 + 12288 * q^32 - 5082 * q^33 + 7024 * q^34 + 29824 * q^35 + 13344 * q^36 + 7166 * q^37 - 7672 * q^38 - 23076 * q^39 + 448 * q^40 - 27726 * q^41 - 10680 * q^42 - 15092 * q^43 + 46464 * q^44 + 38667 * q^45 - 5440 * q^46 - 28938 * q^47 - 10752 * q^48 + 17322 * q^49 + 31036 * q^50 + 37032 * q^51 - 11008 * q^52 - 12652 * q^53 + 59832 * q^54 + 1694 * q^55 - 1536 * q^56 - 168660 * q^57 + 12840 * q^58 - 33123 * q^59 + 5616 * q^60 + 36262 * q^61 + 6856 * q^62 + 47496 * q^63 + 98304 * q^64 - 31470 * q^65 - 10164 * q^66 + 35563 * q^67 - 28096 * q^68 + 123459 * q^69 + 59648 * q^70 + 295146 * q^71 + 34752 * q^72 + 12056 * q^73 + 14332 * q^74 - 244221 * q^75 + 30688 * q^76 + 2904 * q^77 - 64200 * q^78 + 128058 * q^79 + 3584 * q^80 + 90621 * q^81 - 221808 * q^82 - 209888 * q^83 - 72192 * q^84 + 228182 * q^85 + 60368 * q^86 - 89802 * q^87 + 92928 * q^88 - 46724 * q^89 + 96972 * q^90 - 305924 * q^91 - 10880 * q^92 - 187767 * q^93 + 115752 * q^94 - 118660 * q^95 - 21504 * q^96 + 240799 * q^97 + 138576 * q^98 - 35211 * q^99

Introduction

L-functions

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