LMFDB - Embedded newform 197.14.a.b.1.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [197,14,Mod(1,197)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(197, base_ring=CyclotomicField(2))

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

N = Newforms(chi, 14, names="a")

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

chi := DirichletCharacter("197.1");

S:= CuspForms(chi, 14);

N := Newforms(S);

Level:	$N$	$=$	$197$
Weight:	$k$	$=$	$14$
Character orbit:	$[\chi]$	$=$	197.a (trivial)

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:	yes
Analytic conductor:	$211.244930035$
Analytic rank:	$0$
Dimension:	$109$
Twist minimal:	yes
Fricke sign:	$-1$
Sato-Tate group:	$\mathrm{SU}(2)$

Embedding invariants

Embedding label			1.7
Character	$\chi$	$=$	197.1

$q$ -expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q-161.852 q^{2} -660.311 q^{3} +18003.9 q^{4} -63584.1 q^{5} +106872. q^{6} +71804.7 q^{7} -1.58807e6 q^{8} -1.15831e6 q^{9} +1.02912e7 q^{10} -4.53298e6 q^{11} -1.18882e7 q^{12} +1.71206e7 q^{13} -1.16217e7 q^{14} +4.19853e7 q^{15} +1.09544e8 q^{16} -3.03506e7 q^{17} +1.87475e8 q^{18} +3.32240e8 q^{19} -1.14476e9 q^{20} -4.74135e7 q^{21} +7.33670e8 q^{22} -8.39481e8 q^{23} +1.04862e9 q^{24} +2.82223e9 q^{25} -2.77100e9 q^{26} +1.81760e9 q^{27} +1.29277e9 q^{28} +1.45089e7 q^{29} -6.79538e9 q^{30} +2.49444e9 q^{31} -4.72035e9 q^{32} +2.99318e9 q^{33} +4.91229e9 q^{34} -4.56564e9 q^{35} -2.08541e10 q^{36} -1.83648e10 q^{37} -5.37736e10 q^{38} -1.13049e10 q^{39} +1.00976e11 q^{40} +1.12175e10 q^{41} +7.67394e9 q^{42} -3.25288e9 q^{43} -8.16114e10 q^{44} +7.36502e10 q^{45} +1.35871e11 q^{46} +1.13733e11 q^{47} -7.23330e10 q^{48} -9.17331e10 q^{49} -4.56783e11 q^{50} +2.00408e10 q^{51} +3.08238e11 q^{52} +2.15115e11 q^{53} -2.94181e11 q^{54} +2.88225e11 q^{55} -1.14031e11 q^{56} -2.19382e11 q^{57} -2.34828e9 q^{58} -4.49869e11 q^{59} +7.55899e11 q^{60} +4.65093e11 q^{61} -4.03729e11 q^{62} -8.31723e10 q^{63} -1.33388e11 q^{64} -1.08860e12 q^{65} -4.84450e11 q^{66} +9.78215e11 q^{67} -5.46429e11 q^{68} +5.54319e11 q^{69} +7.38956e11 q^{70} +1.26556e12 q^{71} +1.83948e12 q^{72} +3.33534e11 q^{73} +2.97237e12 q^{74} -1.86355e12 q^{75} +5.98162e12 q^{76} -3.25489e11 q^{77} +1.82972e12 q^{78} +9.99907e11 q^{79} -6.96525e12 q^{80} +6.46545e11 q^{81} -1.81556e12 q^{82} -3.99214e12 q^{83} -8.53628e11 q^{84} +1.92981e12 q^{85} +5.26483e11 q^{86} -9.58038e9 q^{87} +7.19870e12 q^{88} -2.56186e12 q^{89} -1.19204e13 q^{90} +1.22934e12 q^{91} -1.51139e13 q^{92} -1.64711e12 q^{93} -1.84078e13 q^{94} -2.11252e13 q^{95} +3.11690e12 q^{96} +5.32052e12 q^{97} +1.48471e13 q^{98} +5.25061e12 q^{99} +O(q^{100})$
$\operatorname{Tr}(f)(q)$	$=$	$109 q + 192 q^{2} + 8018 q^{3} + 471040 q^{4} + 88496 q^{5} + 383232 q^{6} + 1680731 q^{7} + 1820859 q^{8} + 59521391 q^{9} + 16373653 q^{10} + 21199298 q^{11} + 63225856 q^{12} + 59695238 q^{13} + 37888529 q^{14}+ \cdots + 12084396239183 q^{99}+O(q^{100})$ 109 * q + 192 * q^2 + 8018 * q^3 + 471040 * q^4 + 88496 * q^5 + 383232 * q^6 + 1680731 * q^7 + 1820859 * q^8 + 59521391 * q^9 + 16373653 * q^10 + 21199298 * q^11 + 63225856 * q^12 + 59695238 * q^13 + 37888529 * q^14 + 87246239 * q^15 + 2130706432 * q^16 + 228353715 * q^17 + 400647337 * q^18 + 1139301305 * q^19 + 1109969259 * q^20 + 539982398 * q^21 + 1613315649 * q^22 + 920306804 * q^23 + 5542439613 * q^24 + 31241700999 * q^25 + 1864366110 * q^26 + 17825460755 * q^27 + 20413389070 * q^28 + 7185436621 * q^29 + 2050251883 * q^30 + 28475592572 * q^31 + 8334714660 * q^32 + 19623425846 * q^33 + 37845014194 * q^34 + 25255003636 * q^35 + 287968706746 * q^36 + 71523920490 * q^37 + 67778214914 * q^38 + 44951568463 * q^39 + 169184871486 * q^40 + 69139231052 * q^41 + 58715177635 * q^42 + 247544146139 * q^43 + 63861560722 * q^44 + 257443045479 * q^45 + 160530477869 * q^46 + 308496573061 * q^47 + 412228130018 * q^48 + 1736616239908 * q^49 + 1680360028531 * q^50 + 756579032995 * q^51 + 928015404666 * q^52 + 342783723680 * q^53 - 597894730601 * q^54 + 59276330527 * q^55 - 3822929869144 * q^56 - 562905761941 * q^57 + 62740419347 * q^58 + 827401964151 * q^59 - 2247133283907 * q^60 + 988213134514 * q^61 + 1937380192071 * q^62 + 1788190111357 * q^63 + 11682175668457 * q^64 + 2494670804291 * q^65 + 11819807890512 * q^66 + 8038740399790 * q^67 + 10126245189885 * q^68 + 5225665164579 * q^69 + 11464042631319 * q^70 + 4867145119603 * q^71 + 18133468947055 * q^72 + 9684156738615 * q^73 + 16996786880941 * q^74 + 16718732018262 * q^75 + 21454522032798 * q^76 + 6593100920650 * q^77 + 33749579076633 * q^78 + 7591753073823 * q^79 + 24349241260570 * q^80 + 38778649605417 * q^81 + 25555033184251 * q^82 + 16945724819556 * q^83 + 21855489402730 * q^84 + 15544906794766 * q^85 + 18664144286914 * q^86 + 19049540636401 * q^87 + 17318749473003 * q^88 + 11289674998576 * q^89 + 20983303956671 * q^90 + 47242561944227 * q^91 - 25046698097386 * q^92 - 5411884145985 * q^93 + 18338784709341 * q^94 + 6784117894603 * q^95 - 36827486682955 * q^96 + 45969533477736 * q^97 - 42983409526150 * q^98 + 12084396239183 * q^99

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

)

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

$2$	−161.852	−1.78822	−0.894112	−	0.447844i	$-0.852192\pi$
$2$	−161.852	−1.78822	−0.894112	+	0.447844i	$0.852192\pi$
$3$	−660.311	−0.522950	−0.261475	−	0.965210i	$-0.584209\pi$
$3$	−660.311	−0.522950	−0.261475	+	0.965210i	$0.584209\pi$
$4$	18003.9	2.19774
$5$	−63584.1	−1.81988	−0.909941	−	0.414737i	$-0.863874\pi$
$5$	−63584.1	−1.81988	−0.909941	+	0.414737i	$0.863874\pi$
$6$	106872.	0.935152
$7$	71804.7	0.230683	0.115342	−	0.993326i	$-0.463204\pi$
$7$	71804.7	0.230683	0.115342	+	0.993326i	$0.463204\pi$
$8$	−1.58807e6	−2.14183
$9$	−1.15831e6	−0.726523
$10$	1.02912e7	3.25436
$11$	−4.53298e6	−0.771492	−0.385746	−	0.922605i	$-0.626056\pi$
$11$	−4.53298e6	−0.771492	−0.385746	+	0.922605i	$0.626056\pi$
$12$	−1.18882e7	−1.14931
$13$	1.71206e7	0.983756	0.491878	−	0.870664i	$-0.336311\pi$
$13$	1.71206e7	0.983756	0.491878	+	0.870664i	$0.336311\pi$
$14$	−1.16217e7	−0.412513
$15$	4.19853e7	0.951709
$16$	1.09544e8	1.63233
$17$	−3.03506e7	−0.304964	−0.152482	−	0.988306i	$-0.548727\pi$
$17$	−3.03506e7	−0.304964	−0.152482	+	0.988306i	$0.548727\pi$
$18$	1.87475e8	1.29919
$19$	3.32240e8	1.62014	0.810072	−	0.586330i	$-0.199428\pi$
$19$	3.32240e8	1.62014	0.810072	+	0.586330i	$0.199428\pi$
$20$	−1.14476e9	−3.99963
$21$	−4.74135e7	−0.120636
$22$	7.33670e8	1.37960
$23$	−8.39481e8	−1.18244	−0.591221	−	0.806509i	$-0.701354\pi$
$23$	−8.39481e8	−1.18244	−0.591221	+	0.806509i	$0.701354\pi$
$24$	1.04862e9	1.12007
$25$	2.82223e9	2.31197
$26$	−2.77100e9	−1.75918
$27$	1.81760e9	0.902886
$28$	1.29277e9	0.506982
$29$	1.45089e7	0.00452947	0.00226473	−	0.999997i	$-0.499279\pi$
$29$	1.45089e7	0.00452947	0.00226473	+	0.999997i	$0.499279\pi$
$30$	−6.79538e9	−1.70187
$31$	2.49444e9	0.504804	0.252402	−	0.967622i	$-0.418779\pi$
$31$	2.49444e9	0.504804	0.252402	+	0.967622i	$0.418779\pi$
$32$	−4.72035e9	−0.777140
$33$	2.99318e9	0.403452
$34$	4.91229e9	0.545345
$35$	−4.56564e9	−0.419816
$36$	−2.08541e10	−1.59671
$37$	−1.83648e10	−1.17673	−0.588363	−	0.808597i	$-0.700227\pi$
$37$	−1.83648e10	−1.17673	−0.588363	+	0.808597i	$0.700227\pi$
$38$	−5.37736e10	−2.89718
$39$	−1.13049e10	−0.514456
$40$	1.00976e11	3.89788
$41$	1.12175e10	0.368808	0.184404	−	0.982851i	$-0.440965\pi$
$41$	1.12175e10	0.368808	0.184404	+	0.982851i	$0.440965\pi$
$42$	7.67394e9	0.215724
$43$	−3.25288e9	−0.0784734	−0.0392367	−	0.999230i	$-0.512493\pi$
$43$	−3.25288e9	−0.0784734	−0.0392367	+	0.999230i	$0.512493\pi$
$44$	−8.16114e10	−1.69554
$45$	7.36502e10	1.32219
$46$	1.35871e11	2.11447
$47$	1.13733e11	1.53904	0.769518	−	0.638625i	$-0.220496\pi$
$47$	1.13733e11	1.53904	0.769518	+	0.638625i	$0.220496\pi$
$48$	−7.23330e10	−0.853628
$49$	−9.17331e10	−0.946785
$50$	−4.56783e11	−4.13433
$51$	2.00408e10	0.159481
$52$	3.08238e11	2.16204
$53$	2.15115e11	1.33314	0.666572	−	0.745440i	$-0.267761\pi$
$53$	2.15115e11	1.33314	0.666572	+	0.745440i	$0.267761\pi$
$54$	−2.94181e11	−1.61456
$55$	2.88225e11	1.40403
$56$	−1.14031e11	−0.494084
$57$	−2.19382e11	−0.847256
$58$	−2.34828e9	−0.00809970
$59$	−4.49869e11	−1.38851	−0.694254	−	0.719730i	$-0.744266\pi$
$59$	−4.49869e11	−1.38851	−0.694254	+	0.719730i	$0.744266\pi$
$60$	7.55899e11	2.09161
$61$	4.65093e11	1.15583	0.577917	−	0.816095i	$-0.303866\pi$
$61$	4.65093e11	1.15583	0.577917	+	0.816095i	$0.303866\pi$
$62$	−4.03729e11	−0.902702
$63$	−8.31723e10	−0.167597
$64$	−1.33388e11	−0.242631
$65$	−1.08860e12	−1.79032
$66$	−4.84450e11	−0.721462
$67$	9.78215e11	1.32114	0.660569	−	0.750765i	$-0.270315\pi$
$67$	9.78215e11	1.32114	0.660569	+	0.750765i	$0.270315\pi$
$68$	−5.46429e11	−0.670233
$69$	5.54319e11	0.618359
$70$	7.38956e11	0.750725
$71$	1.26556e12	1.17248	0.586239	−	0.810138i	$-0.300608\pi$
$71$	1.26556e12	1.17248	0.586239	+	0.810138i	$0.300608\pi$
$72$	1.83948e12	1.55609
$73$	3.33534e11	0.257954	0.128977	−	0.991648i	$-0.458831\pi$
$73$	3.33534e11	0.257954	0.128977	+	0.991648i	$0.458831\pi$
$74$	2.97237e12	2.10425
$75$	−1.86355e12	−1.20905
$76$	5.98162e12	3.56066
$77$	−3.25489e11	−0.177970
$78$	1.82972e12	0.919962
$79$	9.99907e11	0.462789	0.231395	−	0.972860i	$-0.425671\pi$
$79$	9.99907e11	0.462789	0.231395	+	0.972860i	$0.425671\pi$
$80$	−6.96525e12	−2.97065
$81$	6.46545e11	0.254358
$82$	−1.81556e12	−0.659510
$83$	−3.99214e12	−1.34029	−0.670144	−	0.742231i	$-0.733768\pi$
$83$	−3.99214e12	−1.34029	−0.670144	+	0.742231i	$0.733768\pi$
$84$	−8.53628e11	−0.265127
$85$	1.92981e12	0.555000
$86$	5.26483e11	0.140328
$87$	−9.58038e9	−0.00236869
$88$	7.19870e12	1.65241
$89$	−2.56186e12	−0.546413	−0.273207	−	0.961955i	$-0.588084\pi$
$89$	−2.56186e12	−0.546413	−0.273207	+	0.961955i	$0.588084\pi$
$90$	−1.19204e13	−2.36436
$91$	1.22934e12	0.226936
$92$	−1.51139e13	−2.59870
$93$	−1.64711e12	−0.263987
$94$	−1.84078e13	−2.75214
$95$	−2.11252e13	−2.94847
$96$	3.11690e12	0.406406
$97$	5.32052e12	0.648542	0.324271	−	0.945964i	$-0.394881\pi$
$97$	5.32052e12	0.648542	0.324271	+	0.945964i	$0.394881\pi$
$98$	1.48471e13	1.69306
$99$	5.25061e12	0.560507
$100$	5.08112e13	5.08112
$101$	1.25821e13	1.17941	0.589704	−	0.807619i	$-0.299244\pi$
$101$	1.25821e13	1.17941	0.589704	+	0.807619i	$0.299244\pi$
$102$	−3.24364e12	−0.285188
$103$	−1.63430e13	−1.34862	−0.674309	−	0.738449i	$-0.735559\pi$
$103$	−1.63430e13	−1.34862	−0.674309	+	0.738449i	$0.735559\pi$
$104$	−2.71888e13	−2.10704
$105$	3.01474e12	0.219543
$106$	−3.48167e13	−2.38396
$107$	1.87842e12	0.121004	0.0605018	−	0.998168i	$-0.480730\pi$
$107$	1.87842e12	0.121004	0.0605018	+	0.998168i	$0.480730\pi$
$108$	3.27238e13	1.98431
$109$	−2.30429e13	−1.31603	−0.658014	−	0.753006i	$-0.728603\pi$
$109$	−2.30429e13	−1.31603	−0.658014	+	0.753006i	$0.728603\pi$
$110$	−4.66497e13	−2.51071
$111$	1.21265e13	0.615370
$112$	7.86577e12	0.376551
$113$	−2.19203e13	−0.990458	−0.495229	−	0.868763i	$-0.664916\pi$
$113$	−2.19203e13	−0.990458	−0.495229	+	0.868763i	$0.664916\pi$
$114$	3.55073e13	1.51508
$115$	5.33777e13	2.15191
$116$	2.61217e11	0.00995460
$117$	−1.98310e13	−0.714722
$118$	7.28120e13	2.48296
$119$	−2.17932e12	−0.0703502
$120$	−6.66757e13	−2.03840
$121$	−1.39748e13	−0.404800
$122$	−7.52760e13	−2.06689
$123$	−7.40702e12	−0.192868
$124$	4.49097e13	1.10943
$125$	−1.01832e14	−2.38764
$126$	1.34616e13	0.299700
$127$	−5.54678e13	−1.17305	−0.586525	−	0.809931i	$-0.699505\pi$
$127$	−5.54678e13	−1.17305	−0.586525	+	0.809931i	$0.699505\pi$
$128$	6.02581e13	1.21102
$129$	2.14791e12	0.0410377
$130$	1.76191e14	3.20149
$131$	−9.32390e13	−1.61189	−0.805943	−	0.591994i	$-0.798341\pi$
$131$	−9.32390e13	−1.61189	−0.805943	+	0.591994i	$0.798341\pi$
$132$	5.38889e13	0.886684
$133$	2.38564e13	0.373740
$134$	−1.58326e14	−2.36249
$135$	−1.15570e14	−1.64315
$136$	4.81989e13	0.653182
$137$	−9.08819e13	−1.17434	−0.587170	−	0.809464i	$-0.699758\pi$
$137$	−9.08819e13	−1.17434	−0.587170	+	0.809464i	$0.699758\pi$
$138$	−8.97174e13	−1.10576
$139$	3.22253e13	0.378966	0.189483	−	0.981884i	$-0.439319\pi$
$139$	3.22253e13	0.378966	0.189483	+	0.981884i	$0.439319\pi$
$140$	−8.21994e13	−0.922648
$141$	−7.50989e13	−0.804840
$142$	−2.04833e14	−2.09665
$143$	−7.76074e13	−0.758960
$144$	−1.26886e14	−1.18593
$145$	−9.22534e11	−0.00824310
$146$	−5.39830e13	−0.461279
$147$	6.05724e13	0.495122
$148$	−3.30639e14	−2.58614
$149$	−2.10982e14	−1.57955	−0.789777	−	0.613394i	$-0.789804\pi$
$149$	−2.10982e14	−1.57955	−0.789777	+	0.613394i	$0.789804\pi$
$150$	3.01619e14	2.16205
$151$	1.58014e14	1.08479	0.542396	−	0.840123i	$-0.317517\pi$
$151$	1.58014e14	1.08479	0.542396	+	0.840123i	$0.317517\pi$
$152$	−5.27622e14	−3.47008
$153$	3.51555e13	0.221564
$154$	5.26810e13	0.318250
$155$	−1.58607e14	−0.918684
$156$	−2.03533e14	−1.13064
$157$	−2.65513e14	−1.41494	−0.707470	−	0.706743i	$-0.750164\pi$
$157$	−2.65513e14	−1.41494	−0.707470	+	0.706743i	$0.750164\pi$
$158$	−1.61836e14	−0.827571
$159$	−1.42043e14	−0.697168
$160$	3.00139e14	1.41430
$161$	−6.02787e13	−0.272770
$162$	−1.04644e14	−0.454849
$163$	−3.39919e14	−1.41957	−0.709784	−	0.704420i	$-0.751207\pi$
$163$	−3.39919e14	−1.41957	−0.709784	+	0.704420i	$0.751207\pi$
$164$	2.01958e14	0.810544
$165$	−1.90319e14	−0.734235
$166$	6.46134e14	2.39673
$167$	1.62057e14	0.578109	0.289055	−	0.957313i	$-0.406659\pi$
$167$	1.62057e14	0.578109	0.289055	+	0.957313i	$0.406659\pi$
$168$	7.52960e13	0.258382
$169$	−9.75962e12	−0.0322232
$170$	−3.12343e14	−0.992463
$171$	−3.84838e14	−1.17707
$172$	−5.85645e13	−0.172464
$173$	5.42203e13	0.153767	0.0768833	−	0.997040i	$-0.475503\pi$
$173$	5.42203e13	0.153767	0.0768833	+	0.997040i	$0.475503\pi$
$174$	1.55060e12	0.00423574
$175$	2.02650e14	0.533333
$176$	−4.96560e14	−1.25933
$177$	2.97054e14	0.726121
$178$	4.14642e14	0.977109
$179$	3.81040e14	0.865816	0.432908	−	0.901438i	$-0.357487\pi$
$179$	3.81040e14	0.865816	0.432908	+	0.901438i	$0.357487\pi$
$180$	1.32599e15	2.90583
$181$	9.04316e14	1.91165	0.955827	−	0.293930i	$-0.0949631\pi$
$181$	9.04316e14	1.91165	0.955827	+	0.293930i	$0.0949631\pi$
$182$	−1.98971e14	−0.405812
$183$	−3.07106e14	−0.604444
$184$	1.33316e15	2.53259
$185$	1.16771e15	2.14150
$186$	2.66587e14	0.472068
$187$	1.37579e14	0.235278
$188$	2.04763e15	3.38241
$189$	1.30512e14	0.208281
$190$	3.41914e15	5.27253
$191$	1.02700e15	1.53057	0.765283	−	0.643694i	$-0.222599\pi$
$191$	1.02700e15	1.53057	0.765283	+	0.643694i	$0.222599\pi$
$192$	8.80774e13	0.126884
$193$	1.19661e14	0.166660	0.0833299	−	0.996522i	$-0.473444\pi$
$193$	1.19661e14	0.166660	0.0833299	+	0.996522i	$0.473444\pi$
$194$	−8.61135e14	−1.15974
$195$	7.18814e14	0.936249
$196$	−1.65155e15	−2.08079
$197$	5.84517e13	0.0712470
$197$	5.84517e13	0.0712470
$198$	−8.49819e14	−1.00231
$199$	−1.44234e14	−0.164636	−0.0823178	−	0.996606i	$-0.526232\pi$
$199$	−1.44234e14	−0.164636	−0.0823178	+	0.996606i	$0.526232\pi$
$200$	−4.48191e15	−4.95186
$201$	−6.45926e14	−0.690890
$202$	−2.03643e15	−2.10905
$203$	1.04181e12	0.00104487
$204$	3.60813e14	0.350499
$205$	−7.13253e14	−0.671187
$206$	2.64513e15	2.41163
$207$	9.72381e14	0.859072
$208$	1.87546e15	1.60582
$209$	−1.50604e15	−1.24993
$210$	−4.87941e14	−0.392592
$211$	−8.56976e14	−0.668548	−0.334274	−	0.942476i	$-0.608491\pi$
$211$	−8.56976e14	−0.668548	−0.334274	+	0.942476i	$0.608491\pi$
$212$	3.87291e15	2.92991
$213$	−8.35666e14	−0.613148
$214$	−3.04025e14	−0.216381
$215$	2.06831e14	0.142812
$216$	−2.88647e15	−1.93383
$217$	1.79113e14	0.116450
$218$	3.72953e15	2.35335
$219$	−2.20236e14	−0.134897
$220$	5.18918e15	3.08569
$221$	−5.19621e14	−0.300011
$222$	−1.96269e15	−1.10042
$223$	−1.03252e15	−0.562236	−0.281118	−	0.959673i	$-0.590705\pi$
$223$	−1.03252e15	−0.562236	−0.281118	+	0.959673i	$0.590705\pi$
$224$	−3.38943e14	−0.179273
$225$	−3.26903e15	−1.67970
$226$	3.54783e15	1.77116
$227$	2.75415e15	1.33604	0.668021	−	0.744143i	$-0.267142\pi$
$227$	2.75415e15	1.33604	0.668021	+	0.744143i	$0.267142\pi$
$228$	−3.94973e15	−1.86205
$229$	−2.78055e15	−1.27409	−0.637046	−	0.770826i	$-0.719844\pi$
$229$	−2.78055e15	−1.27409	−0.637046	+	0.770826i	$0.719844\pi$
$230$	−8.63925e15	−3.84809
$231$	2.14924e14	0.0930696
$232$	−2.30412e13	−0.00970135
$233$	3.21825e15	1.31767	0.658834	−	0.752288i	$-0.271050\pi$
$233$	3.21825e15	1.31767	0.658834	+	0.752288i	$0.271050\pi$
$234$	3.20968e15	1.27808
$235$	−7.23158e15	−2.80087
$236$	−8.09941e15	−3.05158
$237$	−6.60250e14	−0.242016
$238$	3.52726e14	0.125802
$239$	1.10565e15	0.383735	0.191868	−	0.981421i	$-0.438546\pi$
$239$	1.10565e15	0.383735	0.191868	+	0.981421i	$0.438546\pi$
$240$	4.59923e15	1.55350
$241$	−2.62239e15	−0.862156	−0.431078	−	0.902315i	$-0.641867\pi$
$241$	−2.62239e15	−0.862156	−0.431078	+	0.902315i	$0.641867\pi$
$242$	2.26184e15	0.723873
$243$	−3.32476e15	−1.03590
$244$	8.37349e15	2.54023
$245$	5.83277e15	1.72304
$246$	1.19884e15	0.344891
$247$	5.68816e15	1.59383
$248$	−3.96136e15	−1.08120
$249$	2.63605e15	0.700904
$250$	1.64816e16	4.26963
$251$	−4.75398e15	−1.19999	−0.599996	−	0.800003i	$-0.704831\pi$
$251$	−4.75398e15	−1.19999	−0.599996	+	0.800003i	$0.704831\pi$
$252$	−1.49743e15	−0.368334
$253$	3.80535e15	0.912245
$254$	8.97755e15	2.09768
$255$	−1.27428e15	−0.290237
$256$	−8.66015e15	−1.92294
$257$	5.61222e15	1.21498	0.607490	−	0.794327i	$-0.292176\pi$
$257$	5.61222e15	1.21498	0.607490	+	0.794327i	$0.292176\pi$
$258$	−3.47643e14	−0.0733846
$259$	−1.31868e15	−0.271451
$260$	−1.95990e16	−3.93467
$261$	−1.68058e13	−0.00329076
$262$	1.50909e16	2.88241
$263$	−5.25563e13	−0.00979292	−0.00489646	−	0.999988i	$-0.501559\pi$
$263$	−5.25563e13	−0.00979292	−0.00489646	+	0.999988i	$0.501559\pi$
$264$	−4.75338e15	−0.864126
$265$	−1.36779e16	−2.42617
$266$	−3.86120e15	−0.668331
$267$	1.69163e15	0.285747
$268$	1.76117e16	2.90352
$269$	7.36210e15	1.18471	0.592355	−	0.805677i	$-0.298198\pi$
$269$	7.36210e15	1.18471	0.592355	+	0.805677i	$0.298198\pi$
$270$	1.87052e16	2.93831
$271$	−5.42236e15	−0.831550	−0.415775	−	0.909468i	$-0.636490\pi$
$271$	−5.42236e15	−0.831550	−0.415775	+	0.909468i	$0.636490\pi$
$272$	−3.32472e15	−0.497803
$273$	−8.11748e14	−0.118676
$274$	1.47094e16	2.09998
$275$	−1.27931e16	−1.78367
$276$	9.97991e15	1.35899
$277$	5.43483e15	0.722882	0.361441	−	0.932395i	$-0.382285\pi$
$277$	5.43483e15	0.722882	0.361441	+	0.932395i	$0.382285\pi$
$278$	−5.21571e15	−0.677676
$279$	−2.88934e15	−0.366752
$280$	7.25056e15	0.899176
$281$	−4.83950e15	−0.586421	−0.293210	−	0.956048i	$-0.594724\pi$
$281$	−4.83950e15	−0.586421	−0.293210	+	0.956048i	$0.594724\pi$
$282$	1.21549e16	1.43923
$283$	−5.96042e14	−0.0689708	−0.0344854	−	0.999405i	$-0.510979\pi$
$283$	−5.96042e14	−0.0689708	−0.0344854	+	0.999405i	$0.510979\pi$
$284$	2.27851e16	2.57681
$285$	1.39492e16	1.54191
$286$	1.25609e16	1.35719
$287$	8.05468e14	0.0850777
$288$	5.46764e15	0.564610
$289$	−8.98342e15	−0.906997
$290$	1.49314e14	0.0147405
$291$	−3.51320e15	−0.339155
$292$	6.00492e15	0.566916
$293$	−2.09611e16	−1.93542	−0.967708	−	0.252072i	$-0.918888\pi$
$293$	−2.09611e16	−1.93542	−0.967708	+	0.252072i	$0.918888\pi$
$294$	−9.80373e15	−0.885388
$295$	2.86045e16	2.52692
$296$	2.91647e16	2.52035
$297$	−8.23913e15	−0.696569
$298$	3.41478e16	2.82460
$299$	−1.43724e16	−1.16324
$300$	−3.35512e16	−2.65718
$301$	−2.33572e14	−0.0181025
$302$	−2.55749e16	−1.93985
$303$	−8.30810e15	−0.616772
$304$	3.63949e16	2.64461
$305$	−2.95725e16	−2.10348
$306$	−5.68996e15	−0.396205
$307$	−1.21585e16	−0.828860	−0.414430	−	0.910081i	$-0.636019\pi$
$307$	−1.21585e16	−0.828860	−0.414430	+	0.910081i	$0.636019\pi$
$308$	−5.86008e15	−0.391133
$309$	1.07914e16	0.705261
$310$	2.56708e16	1.64281
$311$	8.55376e15	0.536061	0.268031	−	0.963410i	$-0.413627\pi$
$311$	8.55376e15	0.536061	0.268031	+	0.963410i	$0.413627\pi$
$312$	1.79531e16	1.10188
$313$	−2.02853e16	−1.21939	−0.609696	−	0.792636i	$-0.708708\pi$
$313$	−2.02853e16	−1.21939	−0.609696	+	0.792636i	$0.708708\pi$
$314$	4.29737e16	2.53023
$315$	5.28844e15	0.305006
$316$	1.80022e16	1.01709
$317$	1.57335e16	0.870844	0.435422	−	0.900227i	$-0.356599\pi$
$317$	1.57335e16	0.870844	0.435422	+	0.900227i	$0.356599\pi$
$318$	2.29898e16	1.24669
$319$	−6.57685e13	−0.00349445
$320$	8.48134e15	0.441560
$321$	−1.24034e15	−0.0632789
$322$	9.75620e15	0.487773
$323$	−1.00837e16	−0.494087
$324$	1.16403e16	0.559014
$325$	4.83184e16	2.27442
$326$	5.50164e16	2.53850
$327$	1.52155e16	0.688217
$328$	−1.78142e16	−0.789924
$329$	8.16654e15	0.355030
$330$	3.08033e16	1.31298
$331$	−6.61622e15	−0.276521	−0.138261	−	0.990396i	$-0.544151\pi$
$331$	−6.61622e15	−0.276521	−0.138261	+	0.990396i	$0.544151\pi$
$332$	−7.18741e16	−2.94561
$333$	2.12722e16	0.854919
$334$	−2.62291e16	−1.03379
$335$	−6.21989e16	−2.40432
$336$	−5.19385e15	−0.196918
$337$	4.25757e16	1.58331	0.791657	−	0.610965i	$-0.209219\pi$
$337$	4.25757e16	1.58331	0.791657	+	0.610965i	$0.209219\pi$
$338$	1.57961e15	0.0576224
$339$	1.44742e16	0.517960
$340$	3.47442e16	1.21975
$341$	−1.13073e16	−0.389452
$342$	6.22866e16	2.10487
$343$	−1.35440e16	−0.449091
$344$	5.16580e15	0.168077
$345$	−3.52459e16	−1.12534
$346$	−8.77563e15	−0.274969
$347$	2.65225e16	0.815591	0.407796	−	0.913073i	$-0.366298\pi$
$347$	2.65225e16	0.815591	0.407796	+	0.913073i	$0.366298\pi$
$348$	−1.72484e14	−0.00520576
$349$	−2.16480e15	−0.0641287	−0.0320644	−	0.999486i	$-0.510208\pi$
$349$	−2.16480e15	−0.0641287	−0.0320644	+	0.999486i	$0.510208\pi$
$350$	−3.27992e16	−0.953719
$351$	3.11184e16	0.888220
$352$	2.13972e16	0.599557
$353$	1.31748e16	0.362416	0.181208	−	0.983445i	$-0.441999\pi$
$353$	1.31748e16	0.362416	0.181208	+	0.983445i	$0.441999\pi$
$354$	−4.80786e16	−1.29847
$355$	−8.04697e16	−2.13377
$356$	−4.61236e16	−1.20088
$357$	1.43903e15	0.0367896
$358$	−6.16719e16	−1.54827
$359$	4.92418e15	0.121400	0.0607001	−	0.998156i	$-0.480667\pi$
$359$	4.92418e15	0.121400	0.0607001	+	0.998156i	$0.480667\pi$
$360$	−1.16962e17	−2.83190
$361$	6.83306e16	1.62487
$362$	−1.46365e17	−3.41846
$363$	9.22772e15	0.211690
$364$	2.21330e16	0.498747
$365$	−2.12075e16	−0.469446
$366$	4.97056e16	1.08088
$367$	2.22830e16	0.476040	0.238020	−	0.971260i	$-0.423502\pi$
$367$	2.22830e16	0.476040	0.238020	+	0.971260i	$0.423502\pi$
$368$	−9.19600e16	−1.93014
$369$	−1.29933e16	−0.267947
$370$	−1.88996e17	−3.82949
$371$	1.54463e16	0.307534
$372$	−2.96544e16	−0.580176
$373$	2.10129e16	0.403997	0.201999	−	0.979386i	$-0.435256\pi$
$373$	2.10129e16	0.403997	0.201999	+	0.979386i	$0.435256\pi$
$374$	−2.22673e16	−0.420729
$375$	6.72407e16	1.24862
$376$	−1.80616e17	−3.29636
$377$	2.48401e14	0.00445589
$378$	−2.11236e16	−0.372452
$379$	−1.36267e16	−0.236177	−0.118088	−	0.993003i	$-0.537677\pi$
$379$	−1.36267e16	−0.236177	−0.118088	+	0.993003i	$0.537677\pi$
$380$	−3.80336e17	−6.47999
$381$	3.66260e16	0.613447
$382$	−1.66221e17	−2.73699
$383$	9.04485e16	1.46423	0.732115	−	0.681181i	$-0.238533\pi$
$383$	9.04485e16	1.46423	0.732115	+	0.681181i	$0.238533\pi$
$384$	−3.97891e16	−0.633302
$385$	2.06960e16	0.323885
$386$	−1.93673e16	−0.298025
$387$	3.76785e15	0.0570127
$388$	9.57902e16	1.42533
$389$	−1.04865e16	−0.153447	−0.0767234	−	0.997052i	$-0.524446\pi$
$389$	−1.04865e16	−0.153447	−0.0767234	+	0.997052i	$0.524446\pi$
$390$	−1.16341e17	−1.67422
$391$	2.54788e16	0.360603
$392$	1.45679e17	2.02785
$393$	6.15668e16	0.842936
$394$	−9.46050e15	−0.127406
$395$	−6.35782e16	−0.842222
$396$	9.45314e16	1.23185
$397$	7.26564e16	0.931398	0.465699	−	0.884943i	$-0.345803\pi$
$397$	7.26564e16	0.931398	0.465699	+	0.884943i	$0.345803\pi$
$398$	2.33446e16	0.294405
$399$	−1.57527e16	−0.195448
$400$	3.09158e17	3.77391
$401$	−7.93198e16	−0.952671	−0.476336	−	0.879263i	$-0.658035\pi$
$401$	−7.93198e16	−0.952671	−0.476336	+	0.879263i	$0.658035\pi$
$402$	1.04544e17	1.23546
$403$	4.27064e16	0.496604
$404$	2.26527e17	2.59204
$405$	−4.11100e16	−0.462902
$406$	−1.68618e14	−0.00186846
$407$	8.32474e16	0.907835
$408$	−3.18263e16	−0.341582
$409$	3.85376e16	0.407083	0.203541	−	0.979066i	$-0.434755\pi$
$409$	3.85376e16	0.407083	0.203541	+	0.979066i	$0.434755\pi$
$410$	1.15441e17	1.20023
$411$	6.00104e16	0.614122
$412$	−2.94237e17	−2.96392
$413$	−3.23028e16	−0.320305
$414$	−1.57381e17	−1.53621
$415$	2.53837e17	2.43917
$416$	−8.08153e16	−0.764516
$417$	−2.12787e16	−0.198181
$418$	2.43755e17	2.23515
$419$	8.84712e16	0.798750	0.399375	−	0.916788i	$-0.369227\pi$
$419$	8.84712e16	0.798750	0.399375	+	0.916788i	$0.369227\pi$
$420$	5.42772e16	0.482499
$421$	−8.65915e15	−0.0757952	−0.0378976	−	0.999282i	$-0.512066\pi$
$421$	−8.65915e15	−0.0757952	−0.0378976	+	0.999282i	$0.512066\pi$
$422$	1.38703e17	1.19551
$423$	−1.31738e17	−1.11814
$424$	−3.41618e17	−2.85537
$425$	−8.56565e16	−0.705070
$426$	1.35254e17	1.09645
$427$	3.33959e16	0.266632
$428$	3.38189e16	0.265935
$429$	5.12451e16	0.396899
$430$	−3.34759e16	−0.255381
$431$	−1.90331e17	−1.43023	−0.715117	−	0.699005i	$-0.753627\pi$
$431$	−1.90331e17	−1.43023	−0.715117	+	0.699005i	$0.753627\pi$
$432$	1.99106e17	1.47381
$433$	1.44464e17	1.05338	0.526692	−	0.850056i	$-0.323432\pi$
$433$	1.44464e17	1.05338	0.526692	+	0.850056i	$0.323432\pi$
$434$	−2.89897e16	−0.208238
$435$	6.09160e14	0.00431073
$436$	−4.14862e17	−2.89229
$437$	−2.78910e17	−1.91573
$438$	3.56456e16	0.241226
$439$	−1.59620e17	−1.06431	−0.532155	−	0.846647i	$-0.678618\pi$
$439$	−1.59620e17	−1.06431	−0.532155	+	0.846647i	$0.678618\pi$
$440$	−4.57723e17	−3.00719
$441$	1.06256e17	0.687861
$442$	8.41014e16	0.536486
$443$	1.48311e17	0.932283	0.466141	−	0.884710i	$-0.345644\pi$
$443$	1.48311e17	0.932283	0.466141	+	0.884710i	$0.345644\pi$
$444$	2.18324e17	1.35242
$445$	1.62894e17	0.994408
$446$	1.67115e17	1.00540
$447$	1.39314e17	0.826029
$448$	−9.57787e15	−0.0559708
$449$	−6.13401e16	−0.353300	−0.176650	−	0.984274i	$-0.556526\pi$
$449$	−6.13401e16	−0.353300	−0.176650	+	0.984274i	$0.556526\pi$
$450$	5.29097e17	3.00368
$451$	−5.08486e16	−0.284532
$452$	−3.94650e17	−2.17677
$453$	−1.04339e17	−0.567292
$454$	−4.45764e17	−2.38914
$455$	−7.81666e16	−0.412997
$456$	3.48394e17	1.81468
$457$	9.87011e15	0.0506835	0.0253418	−	0.999679i	$-0.491933\pi$
$457$	9.87011e15	0.0506835	0.0253418	+	0.999679i	$0.491933\pi$
$458$	4.50037e17	2.27836
$459$	−5.51651e16	−0.275348
$460$	9.61007e17	4.72934
$461$	1.54747e17	0.750874	0.375437	−	0.926848i	$-0.377493\pi$
$461$	1.54747e17	0.750874	0.375437	+	0.926848i	$0.377493\pi$
$462$	−3.47858e16	−0.166429
$463$	−7.47206e16	−0.352504	−0.176252	−	0.984345i	$-0.556397\pi$
$463$	−7.47206e16	−0.352504	−0.176252	+	0.984345i	$0.556397\pi$
$464$	1.58936e15	0.00739359
$465$	1.04730e17	0.480426
$466$	−5.20878e17	−2.35628
$467$	−4.46882e17	−1.99358	−0.996788	−	0.0800859i	$-0.974481\pi$
$467$	−4.46882e17	−1.99358	−0.996788	+	0.0800859i	$0.974481\pi$
$468$	−3.57036e17	−1.57077
$469$	7.02405e16	0.304764
$470$	1.17044e18	5.00857
$471$	1.75321e17	0.739944
$472$	7.14425e17	2.97395
$473$	1.47452e16	0.0605416
$474$	1.06862e17	0.432778
$475$	9.37660e17	3.74573
$476$	−3.92362e16	−0.154612
$477$	−2.49170e17	−0.968560
$478$	−1.78951e17	−0.686204
$479$	1.94627e17	0.736244	0.368122	−	0.929778i	$-0.380001\pi$
$479$	1.94627e17	0.736244	0.368122	+	0.929778i	$0.380001\pi$
$480$	−1.98185e17	−0.739611
$481$	−3.14417e17	−1.15761
$482$	4.24437e17	1.54173
$483$	3.98027e16	0.142645
$484$	−2.51601e17	−0.889647
$485$	−3.38301e17	−1.18027
$486$	5.38117e17	1.85243
$487$	9.36190e16	0.317999	0.158999	−	0.987279i	$-0.449173\pi$
$487$	9.36190e16	0.317999	0.158999	+	0.987279i	$0.449173\pi$
$488$	−7.38601e17	−2.47560
$489$	2.24452e17	0.742363
$490$	−9.44042e17	−3.08118
$491$	4.63885e17	1.49410	0.747052	−	0.664765i	$-0.231468\pi$
$491$	4.63885e17	1.49410	0.747052	+	0.664765i	$0.231468\pi$
$492$	−1.33355e17	−0.423874
$493$	−4.40353e14	−0.00138133
$494$	−9.20637e17	−2.85012
$495$	−3.33855e17	−1.02006
$496$	2.73251e17	0.824007
$497$	9.08735e16	0.270471
$498$	−4.26649e17	−1.25337
$499$	−3.50457e16	−0.101621	−0.0508103	−	0.998708i	$-0.516180\pi$
$499$	−3.50457e16	−0.101621	−0.0508103	+	0.998708i	$0.516180\pi$
$500$	−1.83337e18	−5.24742
$501$	−1.07008e17	−0.302322
$502$	7.69439e17	2.14585
$503$	1.37447e17	0.378392	0.189196	−	0.981939i	$-0.439412\pi$
$503$	1.37447e17	0.378392	0.189196	+	0.981939i	$0.439412\pi$
$504$	1.32084e17	0.358964
$505$	−8.00022e17	−2.14639
$506$	−6.15902e17	−1.63130
$507$	6.44439e15	0.0168512
$508$	−9.98637e17	−2.57806
$509$	1.35534e17	0.345447	0.172724	−	0.984970i	$-0.444743\pi$
$509$	1.35534e17	0.345447	0.172724	+	0.984970i	$0.444743\pi$
$510$	2.06244e17	0.519009
$511$	2.39493e16	0.0595056
$512$	9.08024e17	2.22763
$513$	6.03879e17	1.46281
$514$	−9.08346e17	−2.17266
$515$	1.03915e18	2.45433
$516$	3.86708e16	0.0901903
$517$	−5.15548e17	−1.18735
$518$	2.13431e17	0.485415
$519$	−3.58022e16	−0.0804123
$520$	1.72877e18	3.83457
$521$	−6.36710e17	−1.39475	−0.697375	−	0.716707i	$-0.745649\pi$
$521$	−6.36710e17	−1.39475	−0.697375	+	0.716707i	$0.745649\pi$
$522$	2.72005e15	0.00588462
$523$	−2.84567e17	−0.608027	−0.304014	−	0.952668i	$-0.598327\pi$
$523$	−2.84567e17	−0.608027	−0.304014	+	0.952668i	$0.598327\pi$
$524$	−1.67867e18	−3.54251
$525$	−1.33812e17	−0.278907
$526$	8.50631e15	0.0175119
$527$	−7.57079e16	−0.153947
$528$	3.27884e17	0.658567
$529$	2.00693e17	0.398171
$530$	2.21379e18	4.33853
$531$	5.21089e17	1.00878
$532$	4.29509e17	0.821385
$533$	1.92050e17	0.362817
$534$	−2.73793e17	−0.510979
$535$	−1.19438e17	−0.220212
$536$	−1.55348e18	−2.82965
$537$	−2.51605e17	−0.452779
$538$	−1.19157e18	−2.11853
$539$	4.15824e17	0.730437
$540$	−2.08071e18	−3.61121
$541$	4.69475e17	0.805064	0.402532	−	0.915406i	$-0.368130\pi$
$541$	4.69475e17	0.805064	0.402532	+	0.915406i	$0.368130\pi$
$542$	8.77618e17	1.48700
$543$	−5.97130e17	−0.999700
$544$	1.43265e17	0.237000
$545$	1.46516e18	2.39502
$546$	1.31383e17	0.212220
$547$	3.63541e17	0.580278	0.290139	−	0.956985i	$-0.406299\pi$
$547$	3.63541e17	0.580278	0.290139	+	0.956985i	$0.406299\pi$
$548$	−1.63623e18	−2.58090
$549$	−5.38723e17	−0.839740
$550$	2.07059e18	3.18960
$551$	4.82044e15	0.00733839
$552$	−8.80299e17	−1.32442
$553$	7.17980e16	0.106758
$554$	−8.79636e17	−1.29267
$555$	−7.71052e17	−1.11990
$556$	5.80181e17	0.832871
$557$	6.36492e17	0.903097	0.451549	−	0.892247i	$-0.350872\pi$
$557$	6.36492e17	0.903097	0.451549	+	0.892247i	$0.350872\pi$
$558$	4.67645e17	0.655834
$559$	−5.56913e16	−0.0771988
$560$	−5.00138e17	−0.685279
$561$	−9.08447e16	−0.123039
$562$	7.83280e17	1.04865
$563$	−2.70320e17	−0.357745	−0.178872	−	0.983872i	$-0.557245\pi$
$563$	−2.70320e17	−0.357745	−0.178872	+	0.983872i	$0.557245\pi$
$564$	−1.35207e18	−1.76883
$565$	1.39378e18	1.80252
$566$	9.64703e16	0.123335
$567$	4.64250e16	0.0586762
$568$	−2.00981e18	−2.51125
$569$	−3.74472e17	−0.462583	−0.231291	−	0.972885i	$-0.574295\pi$
$569$	−3.74472e17	−0.462583	−0.231291	+	0.972885i	$0.574295\pi$
$570$	−2.25770e18	−2.75727
$571$	4.67355e17	0.564303	0.282151	−	0.959370i	$-0.408952\pi$
$571$	4.67355e17	0.564303	0.282151	+	0.959370i	$0.408952\pi$
$572$	−1.39724e18	−1.66800
$573$	−6.78137e17	−0.800410
$574$	−1.30366e17	−0.152138
$575$	−2.36921e18	−2.73378
$576$	1.54505e17	0.176277
$577$	2.85753e17	0.322365	0.161182	−	0.986925i	$-0.448469\pi$
$577$	2.85753e17	0.322365	0.161182	+	0.986925i	$0.448469\pi$
$578$	1.45398e18	1.62191
$579$	−7.90136e16	−0.0871548
$580$	−1.66092e16	−0.0181162
$581$	−2.86655e17	−0.309182
$582$	5.68617e17	0.606485
$583$	−9.75111e17	−1.02851
$584$	−5.29677e17	−0.552494
$585$	1.26094e18	1.30071
$586$	3.39259e18	3.46096
$587$	−8.67923e17	−0.875656	−0.437828	−	0.899059i	$-0.644252\pi$
$587$	−8.67923e17	−0.875656	−0.437828	+	0.899059i	$0.644252\pi$
$588$	1.09054e18	1.08815
$589$	8.28755e17	0.817856
$590$	−4.62969e18	−4.51870
$591$	−3.85963e16	−0.0372587
$592$	−2.01175e18	−1.92081
$593$	1.73027e18	1.63402	0.817010	−	0.576623i	$-0.195630\pi$
$593$	1.73027e18	1.63402	0.817010	+	0.576623i	$0.195630\pi$
$594$	1.33352e18	1.24562
$595$	1.38570e17	0.128029
$596$	−3.79850e18	−3.47145
$597$	9.52396e16	0.0860963
$598$	2.32620e18	2.08013
$599$	−5.53980e17	−0.490027	−0.245013	−	0.969520i	$-0.578792\pi$
$599$	−5.53980e17	−0.490027	−0.245013	+	0.969520i	$0.578792\pi$
$600$	2.95946e18	2.58958
$601$	2.93553e17	0.254099	0.127050	−	0.991896i	$-0.459449\pi$
$601$	2.93553e17	0.254099	0.127050	+	0.991896i	$0.459449\pi$
$602$	3.78040e16	0.0323713
$603$	−1.13308e18	−0.959837
$604$	2.84488e18	2.38409
$605$	8.88575e17	0.736689
$606$	1.34468e18	1.10293
$607$	−2.37694e18	−1.92882	−0.964408	−	0.264417i	$-0.914820\pi$
$607$	−2.37694e18	−1.92882	−0.964408	+	0.264417i	$0.914820\pi$
$608$	−1.56829e18	−1.25908
$609$	−6.87917e14	−0.000546416 0
$610$	4.78635e18	3.76150
$611$	1.94717e18	1.51404
$612$	6.32936e17	0.486940
$613$	1.93356e18	1.47185	0.735926	−	0.677062i	$-0.236747\pi$
$613$	1.93356e18	1.47185	0.735926	+	0.677062i	$0.236747\pi$
$614$	1.96787e18	1.48219
$615$	4.70969e17	0.350997
$616$	5.16901e17	0.381182
$617$	1.25524e18	0.915950	0.457975	−	0.888965i	$-0.348575\pi$
$617$	1.25524e18	0.915950	0.457975	+	0.888965i	$0.348575\pi$
$618$	−1.74661e18	−1.26116
$619$	−2.31333e18	−1.65290	−0.826452	−	0.563007i	$-0.809645\pi$
$619$	−2.31333e18	−1.65290	−0.826452	+	0.563007i	$0.809645\pi$
$620$	−2.85554e18	−2.01903
$621$	−1.52584e18	−1.06761
$622$	−1.38444e18	−0.958597
$623$	−1.83954e17	−0.126048
$624$	−1.23839e18	−0.839762
$625$	3.02978e18	2.03325
$626$	3.28321e18	2.18054
$627$	9.94454e17	0.653651
$628$	−4.78027e18	−3.10968
$629$	5.57383e17	0.358860
$630$	−8.55941e17	−0.545419
$631$	−2.05904e18	−1.29860	−0.649298	−	0.760534i	$-0.724937\pi$
$631$	−2.05904e18	−1.29860	−0.649298	+	0.760534i	$0.724937\pi$
$632$	−1.58792e18	−0.991217
$633$	5.65871e17	0.349618
$634$	−2.54649e18	−1.55726
$635$	3.52687e18	2.13481
$636$	−2.55732e18	−1.53220
$637$	−1.57053e18	−0.931406
$638$	1.06447e16	0.00624885
$639$	−1.46592e18	−0.851832
$640$	−3.83146e18	−2.20391
$641$	1.10720e18	0.630448	0.315224	−	0.949017i	$-0.397920\pi$
$641$	1.10720e18	0.630448	0.315224	+	0.949017i	$0.397920\pi$
$642$	2.00751e17	0.113157
$643$	2.06216e18	1.15067	0.575337	−	0.817917i	$-0.304871\pi$
$643$	2.06216e18	1.15067	0.575337	+	0.817917i	$0.304871\pi$
$644$	−1.08525e18	−0.599477
$645$	−1.36573e17	−0.0746838
$646$	1.63206e18	0.883537
$647$	−2.36823e17	−0.126925	−0.0634623	−	0.997984i	$-0.520214\pi$
$647$	−2.36823e17	−0.126925	−0.0634623	+	0.997984i	$0.520214\pi$
$648$	−1.02676e18	−0.544793
$649$	2.03925e18	1.07122
$650$	−7.82040e18	−4.06717
$651$	−1.18270e17	−0.0608974
$652$	−6.11987e18	−3.11984
$653$	2.05911e18	1.03931	0.519654	−	0.854377i	$-0.326061\pi$
$653$	2.05911e18	1.03931	0.519654	+	0.854377i	$0.326061\pi$
$654$	−2.46265e18	−1.23069
$655$	5.92852e18	2.93344
$656$	1.22880e18	0.602016
$657$	−3.86337e17	−0.187409
$658$	−1.32177e18	−0.634872
$659$	3.41781e17	0.162552	0.0812762	−	0.996692i	$-0.474100\pi$
$659$	3.41781e17	0.162552	0.0812762	+	0.996692i	$0.474100\pi$
$660$	−3.42648e18	−1.61366
$661$	1.84163e18	0.858800	0.429400	−	0.903114i	$-0.358725\pi$
$661$	1.84163e18	0.858800	0.429400	+	0.903114i	$0.358725\pi$
$662$	1.07085e18	0.494481
$663$	3.43111e17	0.156891
$664$	6.33981e18	2.87067
$665$	−1.51689e18	−0.680163
$666$	−3.44294e18	−1.52879
$667$	−1.21799e16	−0.00535584
$668$	2.91765e18	1.27054
$669$	6.81787e17	0.294021
$670$	1.00670e19	4.29945
$671$	−2.10826e18	−0.891717
$672$	2.23808e17	0.0937509
$673$	1.11285e18	0.461678	0.230839	−	0.972992i	$-0.425853\pi$
$673$	1.11285e18	0.461678	0.230839	+	0.972992i	$0.425853\pi$
$674$	−6.89094e18	−2.83132
$675$	5.12968e18	2.08745
$676$	−1.75711e17	−0.0708184
$677$	6.37763e17	0.254585	0.127293	−	0.991865i	$-0.459371\pi$
$677$	6.37763e17	0.254585	0.127293	+	0.991865i	$0.459371\pi$
$678$	−2.34267e18	−0.926229
$679$	3.82039e17	0.149608
$680$	−3.06469e18	−1.18872
$681$	−1.81860e18	−0.698683
$682$	1.83010e18	0.696427
$683$	−3.33494e18	−1.25705	−0.628526	−	0.777789i	$-0.716341\pi$
$683$	−3.33494e18	−1.25705	−0.628526	+	0.777789i	$0.716341\pi$
$684$	−6.92859e18	−2.58690
$685$	5.77865e18	2.13716
$686$	2.19211e18	0.803074
$687$	1.83603e18	0.666287
$688$	−3.56333e17	−0.128095
$689$	3.68290e18	1.31149
$690$	5.70460e18	2.01236
$691$	−4.43856e18	−1.55108	−0.775540	−	0.631298i	$-0.782523\pi$
$691$	−4.43856e18	−1.55108	−0.775540	+	0.631298i	$0.782523\pi$
$692$	9.76176e17	0.337939
$693$	3.77018e17	0.129299
$694$	−4.29270e18	−1.45846
$695$	−2.04902e18	−0.689674
$696$	1.52143e16	0.00507333
$697$	−3.40457e17	−0.112473
$698$	3.50376e17	0.114677
$699$	−2.12505e18	−0.689075
$700$	3.64849e18	1.17213
$701$	−3.12346e18	−0.994188	−0.497094	−	0.867697i	$-0.665600\pi$
$701$	−3.12346e18	−0.994188	−0.497094	+	0.867697i	$0.665600\pi$
$702$	−5.03655e18	−1.58834
$703$	−6.10153e18	−1.90647
$704$	6.04644e17	0.187188
$705$	4.77510e18	1.46471
$706$	−2.13236e18	−0.648082
$707$	9.03455e17	0.272070
$708$	5.34813e18	1.59583
$709$	3.67313e18	1.08601	0.543007	−	0.839728i	$-0.317286\pi$
$709$	3.67313e18	1.08601	0.543007	+	0.839728i	$0.317286\pi$
$710$	1.30241e19	3.81566
$711$	−1.15820e18	−0.336227
$712$	4.06843e18	1.17032
$713$	−2.09404e18	−0.596902
$714$	−2.32909e17	−0.0657881
$715$	4.93460e18	1.38122
$716$	6.86021e18	1.90284
$717$	−7.30074e17	−0.200674
$718$	−7.96985e17	−0.217091
$719$	−6.53709e18	−1.76460	−0.882300	−	0.470687i	$-0.844006\pi$
$719$	−6.53709e18	−1.76460	−0.882300	+	0.470687i	$0.844006\pi$
$720$	8.06793e18	2.15825
$721$	−1.17350e18	−0.311104
$722$	−1.10594e19	−2.90563
$723$	1.73159e18	0.450865
$724$	1.62812e19	4.20132
$725$	4.09475e16	0.0104720
$726$	−1.49352e18	−0.378550
$727$	−5.12294e17	−0.128690	−0.0643451	−	0.997928i	$-0.520496\pi$
$727$	−5.12294e17	−0.128690	−0.0643451	+	0.997928i	$0.520496\pi$
$728$	−1.95228e18	−0.486059
$729$	1.16457e18	0.287367
$730$	3.43246e18	0.839474
$731$	9.87268e16	0.0239316
$732$	−5.52911e18	−1.32841
$733$	3.69936e18	0.880949	0.440474	−	0.897765i	$-0.354810\pi$
$733$	3.69936e18	0.880949	0.440474	+	0.897765i	$0.354810\pi$
$734$	−3.60653e18	−0.851266
$735$	−3.85144e18	−0.901064
$736$	3.96264e18	0.918923
$737$	−4.43423e18	−1.01925
$738$	2.10299e18	0.479149
$739$	3.65486e17	0.0825433	0.0412717	−	0.999148i	$-0.486859\pi$
$739$	3.65486e17	0.0825433	0.0412717	+	0.999148i	$0.486859\pi$
$740$	2.10234e19	4.70648
$741$	−3.75595e18	−0.833493
$742$	−2.50000e18	−0.549939
$743$	5.21381e18	1.13692	0.568458	−	0.822713i	$-0.307540\pi$
$743$	5.21381e18	1.13692	0.568458	+	0.822713i	$0.307540\pi$
$744$	2.61573e18	0.565417
$745$	1.34151e19	2.87460
$746$	−3.40097e18	−0.722437
$747$	4.62414e18	0.973750
$748$	2.47695e18	0.517080
$749$	1.34879e17	0.0279135
$750$	−1.08830e19	−2.23281
$751$	5.18963e18	1.05555	0.527773	−	0.849386i	$-0.323027\pi$
$751$	5.18963e18	1.05555	0.527773	+	0.849386i	$0.323027\pi$
$752$	1.24587e19	2.51222
$753$	3.13911e18	0.627537
$754$	−4.02041e16	−0.00796813
$755$	−1.00472e19	−1.97419
$756$	2.34973e18	0.457747
$757$	−8.02080e18	−1.54915	−0.774577	−	0.632480i	$-0.782037\pi$
$757$	−8.02080e18	−1.54915	−0.774577	+	0.632480i	$0.782037\pi$
$758$	2.20551e18	0.422337
$759$	−2.51272e18	−0.477059
$760$	3.35483e19	6.31513
$761$	1.11765e18	0.208596	0.104298	−	0.994546i	$-0.466740\pi$
$761$	1.11765e18	0.208596	0.104298	+	0.994546i	$0.466740\pi$
$762$	−5.92797e18	−1.09698
$763$	−1.65459e18	−0.303585
$764$	1.84900e19	3.36379
$765$	−2.23533e18	−0.403220
$766$	−1.46392e19	−2.61837
$767$	−7.70204e18	−1.36595
$768$	5.71839e18	1.00560
$769$	−6.30917e17	−0.110015	−0.0550074	−	0.998486i	$-0.517518\pi$
$769$	−6.30917e17	−0.110015	−0.0550074	+	0.998486i	$0.517518\pi$
$770$	−3.34967e18	−0.579179
$771$	−3.70581e18	−0.635375
$772$	2.15437e18	0.366275
$773$	−9.45637e18	−1.59426	−0.797128	−	0.603811i	$-0.793648\pi$
$773$	−9.45637e18	−1.59426	−0.797128	+	0.603811i	$0.793648\pi$
$774$	−6.09832e17	−0.101952
$775$	7.03990e18	1.16709
$776$	−8.44938e18	−1.38907
$777$	8.70740e17	0.141955
$778$	1.69726e18	0.274397
$779$	3.72690e18	0.597522
$780$	1.29415e19	2.05764
$781$	−5.73678e18	−0.904558
$782$	−4.12378e18	−0.644839
$783$	2.63713e16	0.00408959
$784$	−1.00488e19	−1.54547
$785$	1.68824e19	2.57503
$786$	−9.96467e18	−1.50736
$787$	−2.29005e18	−0.343565	−0.171782	−	0.985135i	$-0.554953\pi$
$787$	−2.29005e18	−0.343565	−0.171782	+	0.985135i	$0.554953\pi$
$788$	1.05236e18	0.156583
$789$	3.47035e16	0.00512121
$790$	1.02902e19	1.50608
$791$	−1.57398e18	−0.228482
$792$	−8.33834e18	−1.20051
$793$	7.96267e18	1.13706
$794$	−1.17595e19	−1.66555
$795$	9.03166e18	1.26876
$796$	−2.59678e18	−0.361827
$797$	7.05977e18	0.975689	0.487844	−	0.872931i	$-0.337783\pi$
$797$	7.05977e18	0.975689	0.487844	+	0.872931i	$0.337783\pi$
$798$	2.54959e18	0.349504
$799$	−3.45185e18	−0.469351
$800$	−1.33219e19	−1.79673
$801$	2.96744e18	0.396982
$802$	1.28380e19	1.70359
$803$	−1.51190e18	−0.199009
$804$	−1.16292e19	−1.51840
$805$	3.83277e18	0.496409
$806$	−6.91210e18	−0.888039
$807$	−4.86128e18	−0.619545
$808$	−1.99813e19	−2.52609
$809$	9.00882e18	1.12980	0.564901	−	0.825159i	$-0.308914\pi$
$809$	9.00882e18	1.12980	0.564901	+	0.825159i	$0.308914\pi$
$810$	6.65371e18	0.827773
$811$	4.38285e18	0.540905	0.270452	−	0.962733i	$-0.412827\pi$
$811$	4.38285e18	0.540905	0.270452	+	0.962733i	$0.412827\pi$
$812$	1.87566e16	0.00229636
$813$	3.58045e18	0.434859
$814$	−1.34737e19	−1.62341
$815$	2.16134e19	2.58345
$816$	2.19535e18	0.260326
$817$	−1.08074e18	−0.127138
$818$	−6.23736e18	−0.727955
$819$	−1.42396e18	−0.164874
$820$	−1.28413e19	−1.47510
$821$	−1.32851e19	−1.51403	−0.757013	−	0.653400i	$-0.773342\pi$
$821$	−1.32851e19	−1.51403	−0.757013	+	0.653400i	$0.773342\pi$
$822$	−9.71277e18	−1.09819
$823$	8.64684e18	0.969970	0.484985	−	0.874522i	$-0.338825\pi$
$823$	8.64684e18	0.969970	0.484985	+	0.874522i	$0.338825\pi$
$824$	2.59538e19	2.88851
$825$	8.44745e18	0.932771
$826$	5.22825e18	0.572778
$827$	−1.15051e19	−1.25056	−0.625278	−	0.780402i	$-0.715015\pi$
$827$	−1.15051e19	−1.25056	−0.625278	+	0.780402i	$0.715015\pi$
$828$	1.75067e19	1.88802
$829$	−4.37644e17	−0.0468292	−0.0234146	−	0.999726i	$-0.507454\pi$
$829$	−4.37644e17	−0.0468292	−0.0234146	+	0.999726i	$0.507454\pi$
$830$	−4.10838e19	−4.36178
$831$	−3.58868e18	−0.378032
$832$	−2.28368e18	−0.238690
$833$	2.78415e18	0.288736
$834$	3.44399e18	0.354391
$835$	−1.03042e19	−1.05209
$836$	−2.71146e19	−2.74702
$837$	4.53389e18	0.455780
$838$	−1.43192e19	−1.42834
$839$	1.33922e19	1.32556	0.662780	−	0.748814i	$-0.269376\pi$
$839$	1.33922e19	1.32556	0.662780	+	0.748814i	$0.269376\pi$
$840$	−4.78763e18	−0.470224
$841$	−1.02604e19	−0.999979
$842$	1.40150e18	0.135539
$843$	3.19558e18	0.306669
$844$	−1.54289e19	−1.46930
$845$	6.20557e17	0.0586425
$846$	2.13220e19	1.99949
$847$	−1.00346e18	−0.0933806
$848$	2.35645e19	2.17613
$849$	3.93573e17	0.0360683
$850$	1.38636e19	1.26082
$851$	1.54169e19	1.39141
$852$	−1.50453e19	−1.34754
$853$	2.20997e18	0.196435	0.0982174	−	0.995165i	$-0.468686\pi$
$853$	2.20997e18	0.196435	0.0982174	+	0.995165i	$0.468686\pi$
$854$	−5.40517e18	−0.476797
$855$	2.44696e19	2.14213
$856$	−2.98307e18	−0.259169
$857$	8.12505e18	0.700568	0.350284	−	0.936643i	$-0.386085\pi$
$857$	8.12505e18	0.700568	0.350284	+	0.936643i	$0.386085\pi$
$858$	−8.29409e18	−0.709743
$859$	8.00716e18	0.680022	0.340011	−	0.940422i	$-0.389569\pi$
$859$	8.00716e18	0.680022	0.340011	+	0.940422i	$0.389569\pi$
$860$	3.72377e18	0.313865
$861$	−5.31859e17	−0.0444914
$862$	3.08053e19	2.55758
$863$	−6.77034e18	−0.557880	−0.278940	−	0.960309i	$-0.589983\pi$
$863$	−6.77034e18	−0.557880	−0.278940	+	0.960309i	$0.589983\pi$
$864$	−8.57969e18	−0.701669
$865$	−3.44755e18	−0.279837
$866$	−2.33816e19	−1.88369
$867$	5.93185e18	0.474314
$868$	3.22473e18	0.255927
$869$	−4.53256e18	−0.357038
$870$	−9.85934e16	−0.00770855
$871$	1.67476e19	1.29968
$872$	3.65938e19	2.81871
$873$	−6.16283e18	−0.471181
$874$	4.51419e19	3.42575
$875$	−7.31201e18	−0.550788
$876$	−3.96512e18	−0.296469
$877$	5.67266e17	0.0421007	0.0210503	−	0.999778i	$-0.493299\pi$
$877$	5.67266e17	0.0421007	0.0210503	+	0.999778i	$0.493299\pi$
$878$	2.58348e19	1.90322
$879$	1.38408e19	1.01213
$880$	3.15733e19	2.29183
$881$	−1.56416e19	−1.12703	−0.563516	−	0.826105i	$-0.690552\pi$
$881$	−1.56416e19	−1.12703	−0.563516	+	0.826105i	$0.690552\pi$
$882$	−1.71976e19	−1.23005
$883$	−1.49339e19	−1.06030	−0.530149	−	0.847904i	$-0.677864\pi$
$883$	−1.49339e19	−1.06030	−0.530149	+	0.847904i	$0.677864\pi$
$884$	−9.35521e18	−0.659346
$885$	−1.88879e19	−1.32146
$886$	−2.40043e19	−1.66713
$887$	−2.55246e19	−1.75977	−0.879884	−	0.475188i	$-0.842380\pi$
$887$	−2.55246e19	−1.75977	−0.879884	+	0.475188i	$0.842380\pi$
$888$	−1.92578e19	−1.31802
$889$	−3.98285e18	−0.270603
$890$	−2.63646e19	−1.77822
$891$	−2.93077e18	−0.196235
$892$	−1.85895e19	−1.23565
$893$	3.77865e19	2.49346
$894$	−2.25481e19	−1.47712
$895$	−2.42281e19	−1.57568
$896$	4.32682e18	0.279361
$897$	9.49028e18	0.608315
$898$	9.92798e18	0.631779
$899$	3.61916e16	0.00228649
$900$	−5.88553e19	−3.69155
$901$	−6.52886e18	−0.406562
$902$	8.22992e18	0.508807
$903$	1.54230e17	0.00946671
$904$	3.48110e19	2.12139
$905$	−5.75001e19	−3.47899
$906$	1.68874e19	1.01445
$907$	−1.07791e19	−0.642886	−0.321443	−	0.946929i	$-0.604168\pi$
$907$	−1.07791e19	−0.642886	−0.321443	+	0.946929i	$0.604168\pi$
$908$	4.95855e19	2.93627
$909$	−1.45740e19	−0.856867
$910$	1.26514e19	0.738531
$911$	−1.77358e19	−1.02797	−0.513985	−	0.857799i	$-0.671831\pi$
$911$	−1.77358e19	−1.02797	−0.513985	+	0.857799i	$0.671831\pi$
$912$	−2.40319e19	−1.38300
$913$	1.80963e19	1.03402
$914$	−1.59749e18	−0.0906334
$915$	1.95271e19	1.10002
$916$	−5.00609e19	−2.80013
$917$	−6.69500e18	−0.371835
$918$	8.92856e18	0.492384
$919$	−1.95862e19	−1.07250	−0.536252	−	0.844058i	$-0.680160\pi$
$919$	−1.95862e19	−1.07250	−0.536252	+	0.844058i	$0.680160\pi$
$920$	−8.47676e19	−4.60902
$921$	8.02840e18	0.433453
$922$	−2.50461e19	−1.34273
$923$	2.16672e19	1.15343
$924$	3.86948e18	0.204543
$925$	−5.18298e19	−2.72056
$926$	1.20936e19	0.630356
$927$	1.89303e19	0.979802
$928$	−6.84870e16	−0.00352003
$929$	4.43006e18	0.226103	0.113052	−	0.993589i	$-0.463937\pi$
$929$	4.43006e18	0.226103	0.113052	+	0.993589i	$0.463937\pi$
$930$	−1.69507e19	−0.859109
$931$	−3.04774e19	−1.53393
$932$	5.79410e19	2.89590
$933$	−5.64814e18	−0.280334
$934$	7.23285e19	3.56496
$935$	−8.74781e18	−0.428178
$936$	3.14931e19	1.53081
$937$	1.11253e19	0.537037	0.268519	−	0.963275i	$-0.413466\pi$
$937$	1.11253e19	0.537037	0.268519	+	0.963275i	$0.413466\pi$
$938$	−1.13685e19	−0.544986
$939$	1.33946e19	0.637681
$940$	−1.30197e20	−6.15558
$941$	3.37076e19	1.58269	0.791343	−	0.611372i	$-0.209382\pi$
$941$	3.37076e19	1.58269	0.791343	+	0.611372i	$0.209382\pi$
$942$	−2.83760e19	−1.32318
$943$	−9.41686e18	−0.436094
$944$	−4.92804e19	−2.26650
$945$	−8.29849e18	−0.379046
$946$	−2.38654e18	−0.108262
$947$	−3.45738e19	−1.55766	−0.778830	−	0.627235i	$-0.784187\pi$
$947$	−3.45738e19	−1.55766	−0.778830	+	0.627235i	$0.784187\pi$
$948$	−1.18871e19	−0.531889
$949$	5.71031e18	0.253764
$950$	−1.51762e20	−6.69821
$951$	−1.03890e19	−0.455408
$952$	3.46091e18	0.150678
$953$	1.82301e19	0.788286	0.394143	−	0.919049i	$-0.371041\pi$
$953$	1.82301e19	0.788286	0.394143	+	0.919049i	$0.371041\pi$
$954$	4.03286e19	1.73200
$955$	−6.53006e19	−2.78545
$956$	1.99060e19	0.843351
$957$	4.34277e16	0.00182742
$958$	−3.15006e19	−1.31657
$959$	−6.52575e18	−0.270900
$960$	−5.60032e18	−0.230914
$961$	−1.81953e19	−0.745173
$962$	5.08889e19	2.07007
$963$	−2.17580e18	−0.0879118
$964$	−4.72132e19	−1.89480
$965$	−7.60854e18	−0.303301
$966$	−6.44213e18	−0.255081
$967$	2.12515e19	0.835830	0.417915	−	0.908486i	$-0.362761\pi$
$967$	2.12515e19	0.835830	0.417915	+	0.908486i	$0.362761\pi$
$968$	2.21930e19	0.867014
$969$	6.65837e18	0.258383
$970$	5.47545e19	2.11059
$971$	1.75569e19	0.672239	0.336119	−	0.941819i	$-0.390885\pi$
$971$	1.75569e19	0.672239	0.336119	+	0.941819i	$0.390885\pi$
$972$	−5.98586e19	−2.27665
$973$	2.31393e18	0.0874211
$974$	−1.51524e19	−0.568653
$975$	−3.19052e19	−1.18941
$976$	5.09480e19	1.88670
$977$	−4.83330e19	−1.77799	−0.888995	−	0.457917i	$-0.848596\pi$
$977$	−4.83330e19	−1.77799	−0.888995	+	0.457917i	$0.848596\pi$
$978$	−3.63279e19	−1.32751
$979$	1.16129e19	0.421553
$980$	1.05013e20	3.78680
$981$	2.66909e19	0.956124
$982$	−7.50806e19	−2.67179
$983$	3.40584e19	1.20400	0.601999	−	0.798497i	$-0.294371\pi$
$983$	3.40584e19	1.20400	0.601999	+	0.798497i	$0.294371\pi$
$984$	1.17629e19	0.413091
$985$	−3.71660e18	−0.129661
$986$	7.12718e16	0.00247012
$987$	−5.39246e18	−0.185663
$988$	1.02409e20	3.50282
$989$	2.73073e18	0.0927903
$990$	5.40349e19	1.82409
$991$	−4.46742e19	−1.49823	−0.749114	−	0.662441i	$-0.769520\pi$
$991$	−4.46742e19	−1.49823	−0.749114	+	0.662441i	$0.769520\pi$
$992$	−1.17746e19	−0.392303
$993$	4.36877e18	0.144607
$994$	−1.47080e19	−0.483663
$995$	9.17101e18	0.299618
$996$	4.74593e19	1.54041
$997$	2.19636e19	0.708246	0.354123	−	0.935199i	$-0.384779\pi$
$997$	2.19636e19	0.708246	0.354123	+	0.935199i	$0.384779\pi$
$998$	5.67220e18	0.181720
$999$	−3.33798e19	−1.06245

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Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	197.14.a.b.1.7	✓	109

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
197.14.a.b.1.7	✓	109	1.1	even	1	trivial

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Twists

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Label	197.14.a.b.1.7

Level	$197$
Weight	$14$
Character	197.1
Self dual	yes
Analytic conductor	$211.245$
Analytic rank	$0$
Dimension	$109$
CM	no
Inner twists	$1$