Properties

Label 43.7.h.a.3.20
Level 43
Weight 7
Character 43.3
Analytic conductor 9.892
Analytic rank 0
Dimension 252
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 43.h (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(9.89232559565\)
Analytic rank: \(0\)
Dimension: \(252\)
Relative dimension: \(21\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 3.20
Character \(\chi\) \(=\) 43.3
Dual form 43.7.h.a.29.20

$q$-expansion

\(f(q)\) \(=\) \(q+(5.93639 - 12.3270i) q^{2} +(-47.2449 - 3.54052i) q^{3} +(-76.8118 - 96.3189i) q^{4} +(8.18721 - 26.5423i) q^{5} +(-324.108 + 561.372i) q^{6} +(-116.163 + 67.0667i) q^{7} +(-789.619 + 180.225i) q^{8} +(1498.69 + 225.891i) q^{9} +O(q^{10})\) \(q+(5.93639 - 12.3270i) q^{2} +(-47.2449 - 3.54052i) q^{3} +(-76.8118 - 96.3189i) q^{4} +(8.18721 - 26.5423i) q^{5} +(-324.108 + 561.372i) q^{6} +(-116.163 + 67.0667i) q^{7} +(-789.619 + 180.225i) q^{8} +(1498.69 + 225.891i) q^{9} +(-278.585 - 258.489i) q^{10} +(1029.21 - 1290.59i) q^{11} +(3287.95 + 4822.53i) q^{12} +(-1882.34 + 1746.56i) q^{13} +(137.145 + 1830.08i) q^{14} +(-480.777 + 1225.00i) q^{15} +(-711.357 + 3116.66i) q^{16} +(-5984.32 + 1845.92i) q^{17} +(11681.4 - 17133.4i) q^{18} +(1459.69 + 9684.38i) q^{19} +(-3185.40 + 1250.18i) q^{20} +(5725.56 - 2757.28i) q^{21} +(-9799.36 - 20348.6i) q^{22} +(-3680.64 - 9378.11i) q^{23} +(37943.6 - 5719.08i) q^{24} +(12272.5 + 8367.26i) q^{25} +(10355.6 + 33571.9i) q^{26} +(-36333.5 - 8292.87i) q^{27} +(15382.5 + 6037.18i) q^{28} +(-40361.4 + 3024.67i) q^{29} +(12246.5 + 13198.6i) q^{30} +(-2922.85 + 1992.77i) q^{31} +(-6330.15 - 5048.12i) q^{32} +(-53194.4 + 57329.9i) q^{33} +(-12770.5 + 84727.0i) q^{34} +(829.053 + 3632.32i) q^{35} +(-93359.4 - 161703. i) q^{36} +(5219.63 + 3013.56i) q^{37} +(128045. + 39496.6i) q^{38} +(95114.6 - 75851.4i) q^{39} +(-1681.18 + 22433.8i) q^{40} +(-82505.0 - 39732.3i) q^{41} -86947.5i q^{42} +(75826.2 + 23911.2i) q^{43} -203364. q^{44} +(18265.7 - 37929.2i) q^{45} +(-137454. - 10300.8i) q^{46} +(-39357.9 - 49353.2i) q^{47} +(44642.6 - 144728. i) q^{48} +(-49828.6 + 86305.7i) q^{49} +(175998. - 101612. i) q^{50} +(289264. - 66022.7i) q^{51} +(312812. + 47148.9i) q^{52} +(-100340. - 93102.0i) q^{53} +(-317916. + 398654. i) q^{54} +(-25828.8 - 37883.9i) q^{55} +(79637.4 - 73892.7i) q^{56} +(-34675.0 - 462706. i) q^{57} +(-202316. + 515492. i) q^{58} +(-3701.65 + 16218.0i) q^{59} +(154920. - 47786.5i) q^{60} +(129597. - 190083. i) q^{61} +(7213.73 + 47860.0i) q^{62} +(-189242. + 74271.9i) q^{63} +(-284141. + 136835. i) q^{64} +(30946.4 + 64261.0i) q^{65} +(390925. + 996061. i) q^{66} +(-165296. + 24914.4i) q^{67} +(637463. + 434615. i) q^{68} +(140688. + 456099. i) q^{69} +(49697.3 + 11343.1i) q^{70} +(647589. + 254160. i) q^{71} +(-1.22410e6 + 91734.0i) q^{72} +(-243981. - 262949. i) q^{73} +(68134.0 - 46453.0i) q^{74} +(-550190. - 438762. i) q^{75} +(820668. - 884470. i) q^{76} +(-33000.6 + 218945. i) q^{77} +(-370386. - 1.62276e6i) q^{78} +(-47044.0 - 81482.7i) q^{79} +(76899.2 + 44397.8i) q^{80} +(631412. + 194765. i) q^{81} +(-979564. + 781176. i) q^{82} +(30258.1 - 403766. i) q^{83} +(-705369. - 339688. i) q^{84} +173950. i q^{85} +(744888. - 792767. i) q^{86} +1.91758e6 q^{87} +(-580088. + 1.20457e6i) q^{88} +(-286929. - 21502.3i) q^{89} +(-359122. - 450325. i) q^{90} +(101522. - 329127. i) q^{91} +(-620573. + 1.07486e6i) q^{92} +(145145. - 83799.7i) q^{93} +(-842023. + 192186. i) q^{94} +(268996. + 40544.7i) q^{95} +(281194. + 260910. i) q^{96} +(-730548. + 916078. i) q^{97} +(768091. + 1.12658e6i) q^{98} +(1.83400e6 - 1.70170e6i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 252q - 14q^{2} - 11q^{3} + 1180q^{4} - 11q^{5} - 118q^{6} + 126q^{7} - 2254q^{8} - 8178q^{9} + O(q^{10}) \) \( 252q - 14q^{2} - 11q^{3} + 1180q^{4} - 11q^{5} - 118q^{6} + 126q^{7} - 2254q^{8} - 8178q^{9} + 967q^{10} + 4090q^{11} - 484q^{12} + 1527q^{13} + 7812q^{14} - 8923q^{15} - 13760q^{16} - 3655q^{17} + 5596q^{18} + 38605q^{19} + 26085q^{20} + 24873q^{21} - 25214q^{22} + 27991q^{23} - 20480q^{24} - 24146q^{25} - 34923q^{26} - 14q^{27} - 77634q^{28} - 112735q^{29} + 375072q^{30} + 290647q^{31} - 344064q^{32} - 152174q^{33} - 198311q^{34} - 182471q^{35} - 930891q^{36} + 282762q^{37} + 487342q^{38} + 857290q^{39} + 745459q^{40} + 27674q^{41} + 148802q^{43} - 1255832q^{44} - 191310q^{45} - 1344785q^{46} + 69166q^{47} - 871241q^{48} + 1786604q^{49} + 837705q^{50} - 182756q^{51} + 2906416q^{52} + 7779q^{53} + 487154q^{54} - 529592q^{55} - 2464007q^{56} - 767855q^{57} - 1523780q^{58} + 1531338q^{59} - 1858647q^{60} + 646957q^{61} - 448559q^{62} - 2007847q^{63} + 3937366q^{64} - 1473542q^{65} + 1513319q^{66} - 575523q^{67} + 2717157q^{68} + 967041q^{69} + 4624473q^{70} - 2149319q^{71} - 9986371q^{72} - 514565q^{73} - 882972q^{74} - 6655138q^{75} + 1152658q^{76} - 341803q^{77} + 6322388q^{78} - 2476742q^{79} + 10750038q^{80} + 4308941q^{81} + 5079172q^{82} + 2318609q^{83} + 5578407q^{84} + 585292q^{86} - 1990710q^{87} - 2864890q^{88} - 4561993q^{89} - 17681545q^{90} - 4648506q^{91} - 1991714q^{92} - 8868294q^{93} - 10200218q^{94} + 10091737q^{95} + 6250318q^{96} - 1676750q^{97} + 7512700q^{98} + 18452884q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{42}\right)\)

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 \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 5.93639 12.3270i 0.742049 1.54088i −0.0960596 0.995376i \(-0.530624\pi\)
0.838108 0.545504i \(-0.183662\pi\)
\(3\) −47.2449 3.54052i −1.74981 0.131130i −0.839048 0.544058i \(-0.816887\pi\)
−0.910764 + 0.412928i \(0.864506\pi\)
\(4\) −76.8118 96.3189i −1.20018 1.50498i
\(5\) 8.18721 26.5423i 0.0654977 0.212338i −0.916908 0.399099i \(-0.869323\pi\)
0.982405 + 0.186761i \(0.0597991\pi\)
\(6\) −324.108 + 561.372i −1.50050 + 2.59894i
\(7\) −116.163 + 67.0667i −0.338667 + 0.195530i −0.659683 0.751544i \(-0.729309\pi\)
0.321015 + 0.947074i \(0.395976\pi\)
\(8\) −789.619 + 180.225i −1.54223 + 0.352003i
\(9\) 1498.69 + 225.891i 2.05581 + 0.309864i
\(10\) −278.585 258.489i −0.278585 0.258489i
\(11\) 1029.21 1290.59i 0.773262 0.969640i −0.226729 0.973958i \(-0.572803\pi\)
0.999991 + 0.00431837i \(0.00137458\pi\)
\(12\) 3287.95 + 4822.53i 1.90275 + 2.79082i
\(13\) −1882.34 + 1746.56i −0.856777 + 0.794973i −0.980330 0.197365i \(-0.936762\pi\)
0.123553 + 0.992338i \(0.460571\pi\)
\(14\) 137.145 + 1830.08i 0.0499801 + 0.666938i
\(15\) −480.777 + 1225.00i −0.142452 + 0.362963i
\(16\) −711.357 + 3116.66i −0.173671 + 0.760903i
\(17\) −5984.32 + 1845.92i −1.21806 + 0.375721i −0.836161 0.548484i \(-0.815205\pi\)
−0.381897 + 0.924205i \(0.624729\pi\)
\(18\) 11681.4 17133.4i 2.00298 2.93783i
\(19\) 1459.69 + 9684.38i 0.212813 + 1.41192i 0.798797 + 0.601601i \(0.205470\pi\)
−0.585984 + 0.810323i \(0.699292\pi\)
\(20\) −3185.40 + 1250.18i −0.398175 + 0.156272i
\(21\) 5725.56 2757.28i 0.618244 0.297731i
\(22\) −9799.36 20348.6i −0.920300 1.91102i
\(23\) −3680.64 9378.11i −0.302510 0.770782i −0.998603 0.0528314i \(-0.983175\pi\)
0.696094 0.717951i \(-0.254920\pi\)
\(24\) 37943.6 5719.08i 2.74476 0.413706i
\(25\) 12272.5 + 8367.26i 0.785441 + 0.535505i
\(26\) 10355.6 + 33571.9i 0.589187 + 1.91010i
\(27\) −36333.5 8292.87i −1.84593 0.421322i
\(28\) 15382.5 + 6037.18i 0.700732 + 0.275017i
\(29\) −40361.4 + 3024.67i −1.65490 + 0.124018i −0.869158 0.494534i \(-0.835339\pi\)
−0.785744 + 0.618552i \(0.787720\pi\)
\(30\) 12246.5 + 13198.6i 0.453576 + 0.488838i
\(31\) −2922.85 + 1992.77i −0.0981119 + 0.0668916i −0.611382 0.791335i \(-0.709386\pi\)
0.513270 + 0.858227i \(0.328434\pi\)
\(32\) −6330.15 5048.12i −0.193181 0.154057i
\(33\) −53194.4 + 57329.9i −1.48021 + 1.59529i
\(34\) −12770.5 + 84727.0i −0.324917 + 2.15568i
\(35\) 829.053 + 3632.32i 0.0193365 + 0.0847188i
\(36\) −93359.4 161703.i −2.00102 3.46586i
\(37\) 5219.63 + 3013.56i 0.103047 + 0.0594941i 0.550638 0.834744i \(-0.314385\pi\)
−0.447591 + 0.894238i \(0.647718\pi\)
\(38\) 128045. + 39496.6i 2.33352 + 0.719796i
\(39\) 95114.6 75851.4i 1.60344 1.27870i
\(40\) −1681.18 + 22433.8i −0.0262685 + 0.350529i
\(41\) −82505.0 39732.3i −1.19710 0.576491i −0.274249 0.961659i \(-0.588429\pi\)
−0.922846 + 0.385168i \(0.874143\pi\)
\(42\) 86947.5i 1.17357i
\(43\) 75826.2 + 23911.2i 0.953705 + 0.300743i
\(44\) −203364. −2.38735
\(45\) 18265.7 37929.2i 0.200447 0.416232i
\(46\) −137454. 10300.8i −1.41216 0.105827i
\(47\) −39357.9 49353.2i −0.379086 0.475359i 0.555285 0.831660i \(-0.312609\pi\)
−0.934371 + 0.356301i \(0.884038\pi\)
\(48\) 44642.6 144728.i 0.403669 1.30866i
\(49\) −49828.6 + 86305.7i −0.423536 + 0.733586i
\(50\) 175998. 101612.i 1.40798 0.812900i
\(51\) 289264. 66022.7i 2.18064 0.497717i
\(52\) 312812. + 47148.9i 2.22471 + 0.335321i
\(53\) −100340. 93102.0i −0.673979 0.625362i 0.267051 0.963682i \(-0.413951\pi\)
−0.941031 + 0.338321i \(0.890141\pi\)
\(54\) −317916. + 398654.i −2.01898 + 2.53172i
\(55\) −25828.8 37883.9i −0.155245 0.227702i
\(56\) 79637.4 73892.7i 0.453475 0.420763i
\(57\) −34675.0 462706.i −0.187237 2.49851i
\(58\) −202316. + 515492.i −1.03692 + 2.64203i
\(59\) −3701.65 + 16218.0i −0.0180235 + 0.0789661i −0.983140 0.182855i \(-0.941466\pi\)
0.965116 + 0.261821i \(0.0843232\pi\)
\(60\) 154920. 47786.5i 0.717223 0.221234i
\(61\) 129597. 190083.i 0.570958 0.837442i −0.426801 0.904345i \(-0.640360\pi\)
0.997759 + 0.0669038i \(0.0213121\pi\)
\(62\) 7213.73 + 47860.0i 0.0302681 + 0.200815i
\(63\) −189242. + 74271.9i −0.756825 + 0.297032i
\(64\) −284141. + 136835.i −1.08391 + 0.521985i
\(65\) 30946.4 + 64261.0i 0.112686 + 0.233995i
\(66\) 390925. + 996061.i 1.35976 + 3.46461i
\(67\) −165296. + 24914.4i −0.549590 + 0.0828373i −0.417966 0.908462i \(-0.637257\pi\)
−0.131623 + 0.991300i \(0.542019\pi\)
\(68\) 637463. + 434615.i 2.02735 + 1.38222i
\(69\) 140688. + 456099.i 0.428262 + 1.38839i
\(70\) 49697.3 + 11343.1i 0.144890 + 0.0330702i
\(71\) 647589. + 254160.i 1.80936 + 0.710120i 0.990739 + 0.135783i \(0.0433551\pi\)
0.818619 + 0.574337i \(0.194740\pi\)
\(72\) −1.22410e6 + 91734.0i −3.27960 + 0.245772i
\(73\) −243981. 262949.i −0.627173 0.675932i 0.336908 0.941537i \(-0.390619\pi\)
−0.964082 + 0.265605i \(0.914428\pi\)
\(74\) 68134.0 46453.0i 0.168139 0.114635i
\(75\) −550190. 438762.i −1.30415 1.04003i
\(76\) 820668. 884470.i 1.86951 2.01485i
\(77\) −33000.6 + 218945.i −0.0722852 + 0.479581i
\(78\) −370386. 1.62276e6i −0.780495 3.41957i
\(79\) −47044.0 81482.7i −0.0954165 0.165266i 0.814366 0.580352i \(-0.197085\pi\)
−0.909782 + 0.415086i \(0.863752\pi\)
\(80\) 76899.2 + 44397.8i 0.150194 + 0.0867144i
\(81\) 631412. + 194765.i 1.18811 + 0.366484i
\(82\) −979564. + 781176.i −1.77661 + 1.41680i
\(83\) 30258.1 403766.i 0.0529184 0.706147i −0.906147 0.422963i \(-0.860990\pi\)
0.959065 0.283184i \(-0.0913908\pi\)
\(84\) −705369. 339688.i −1.19009 0.573115i
\(85\) 173950.i 0.283249i
\(86\) 744888. 792767.i 1.17110 1.24638i
\(87\) 1.91758e6 2.91203
\(88\) −580088. + 1.20457e6i −0.851228 + 1.76759i
\(89\) −286929. 21502.3i −0.407009 0.0305011i −0.130347 0.991468i \(-0.541609\pi\)
−0.276662 + 0.960967i \(0.589228\pi\)
\(90\) −359122. 450325.i −0.492623 0.617729i
\(91\) 101522. 329127.i 0.134722 0.436757i
\(92\) −620573. + 1.07486e6i −0.796947 + 1.38035i
\(93\) 145145. 83799.7i 0.180449 0.104182i
\(94\) −842023. + 192186.i −1.01377 + 0.231387i
\(95\) 268996. + 40544.7i 0.313744 + 0.0472893i
\(96\) 281194. + 260910.i 0.317828 + 0.294902i
\(97\) −730548. + 916078.i −0.800449 + 1.00373i 0.199269 + 0.979945i \(0.436143\pi\)
−0.999717 + 0.0237858i \(0.992428\pi\)
\(98\) 768091. + 1.12658e6i 0.816084 + 1.19697i
\(99\) 1.83400e6 1.70170e6i 1.89014 1.75379i
\(100\) −136748. 1.82478e6i −0.136748 1.82478i
\(101\) 214285. 545990.i 0.207983 0.529932i −0.788376 0.615194i \(-0.789078\pi\)
0.996359 + 0.0852622i \(0.0271728\pi\)
\(102\) 903321. 3.95771e6i 0.851219 3.72944i
\(103\) −1.44116e6 + 444540.i −1.31887 + 0.406817i −0.872754 0.488160i \(-0.837668\pi\)
−0.446113 + 0.894976i \(0.647192\pi\)
\(104\) 1.17156e6 1.71836e6i 1.04151 1.52762i
\(105\) −26308.2 174544.i −0.0227260 0.150777i
\(106\) −1.74333e6 + 684206.i −1.46373 + 0.574473i
\(107\) −833578. + 401430.i −0.680448 + 0.327686i −0.741983 0.670419i \(-0.766115\pi\)
0.0615354 + 0.998105i \(0.480400\pi\)
\(108\) 1.99208e6 + 4.13659e6i 1.58137 + 3.28376i
\(109\) 618597. + 1.57616e6i 0.477670 + 1.21708i 0.943252 + 0.332079i \(0.107750\pi\)
−0.465581 + 0.885005i \(0.654155\pi\)
\(110\) −620327. + 93499.2i −0.466061 + 0.0702473i
\(111\) −235931. 160855.i −0.172511 0.117616i
\(112\) −126391. 409749.i −0.0899625 0.291651i
\(113\) −2.65176e6 605246.i −1.83780 0.419466i −0.844553 0.535472i \(-0.820134\pi\)
−0.993249 + 0.116006i \(0.962991\pi\)
\(114\) −5.90964e6 2.31936e6i −3.98884 1.56550i
\(115\) −279050. + 20911.9i −0.183480 + 0.0137499i
\(116\) 3.39157e6 + 3.65524e6i 2.17283 + 2.34176i
\(117\) −3.21557e6 + 2.19234e6i −2.00771 + 1.36883i
\(118\) 177945. + 141907.i 0.108303 + 0.0863687i
\(119\) 571357. 615776.i 0.339052 0.365411i
\(120\) 158855. 1.05393e6i 0.0919298 0.609915i
\(121\) −212138. 929436.i −0.119746 0.524642i
\(122\) −1.57383e6 2.72595e6i −0.866718 1.50120i
\(123\) 3.75727e6 + 2.16926e6i 2.01910 + 1.16573i
\(124\) 416451. + 128458.i 0.218423 + 0.0673746i
\(125\) 661882. 527833.i 0.338884 0.270251i
\(126\) −207860. + 2.77370e6i −0.103910 + 1.38659i
\(127\) −719433. 346461.i −0.351220 0.169139i 0.249952 0.968258i \(-0.419585\pi\)
−0.601172 + 0.799120i \(0.705299\pi\)
\(128\) 3.79675e6i 1.81043i
\(129\) −3.49775e6 1.39814e6i −1.62937 0.651303i
\(130\) 975857. 0.444177
\(131\) 1.02289e6 2.12405e6i 0.455003 0.944824i −0.539683 0.841868i \(-0.681456\pi\)
0.994686 0.102955i \(-0.0328299\pi\)
\(132\) 9.60791e6 + 720013.i 4.17741 + 0.313054i
\(133\) −819061. 1.02707e6i −0.348146 0.436561i
\(134\) −674142. + 2.18551e6i −0.280180 + 0.908321i
\(135\) −517581. + 896477.i −0.210367 + 0.364366i
\(136\) 4.39265e6 2.53610e6i 1.74627 1.00821i
\(137\) −241112. + 55032.3i −0.0937686 + 0.0214021i −0.269148 0.963099i \(-0.586742\pi\)
0.175379 + 0.984501i \(0.443885\pi\)
\(138\) 6.45753e6 + 973316.i 2.45714 + 0.370354i
\(139\) −1.38078e6 1.28118e6i −0.514139 0.477051i 0.379908 0.925024i \(-0.375956\pi\)
−0.894047 + 0.447973i \(0.852146\pi\)
\(140\) 286180. 358858.i 0.104293 0.130779i
\(141\) 1.68472e6 + 2.47104e6i 0.600996 + 0.881499i
\(142\) 6.97738e6 6.47406e6i 2.43684 2.26106i
\(143\) 316763. + 4.22690e6i 0.108324 + 1.44549i
\(144\) −1.77013e6 + 4.51021e6i −0.592812 + 1.51046i
\(145\) −250166. + 1.09605e6i −0.0820585 + 0.359522i
\(146\) −4.68975e6 + 1.44660e6i −1.50692 + 0.464824i
\(147\) 2.65972e6 3.90109e6i 0.837304 1.22810i
\(148\) −110667. 734226.i −0.0341375 0.226488i
\(149\) 1.81076e6 710672.i 0.547398 0.214838i −0.0754935 0.997146i \(-0.524053\pi\)
0.622891 + 0.782309i \(0.285958\pi\)
\(150\) −8.67477e6 + 4.17755e6i −2.57030 + 1.23779i
\(151\) −2.27167e6 4.71716e6i −0.659802 1.37009i −0.915099 0.403230i \(-0.867887\pi\)
0.255297 0.966863i \(-0.417827\pi\)
\(152\) −2.89797e6 7.38390e6i −0.825207 2.10259i
\(153\) −9.38561e6 + 1.41465e6i −2.62052 + 0.394980i
\(154\) 2.50303e6 + 1.70654e6i 0.685338 + 0.467255i
\(155\) 28962.6 + 93894.3i 0.00777754 + 0.0252141i
\(156\) −1.46119e7 3.33506e6i −3.84885 0.878476i
\(157\) 4.98707e6 + 1.95728e6i 1.28868 + 0.505771i 0.908014 0.418939i \(-0.137598\pi\)
0.380670 + 0.924711i \(0.375693\pi\)
\(158\) −1.28371e6 + 96200.9i −0.325459 + 0.0243898i
\(159\) 4.41093e6 + 4.75385e6i 1.09733 + 1.18264i
\(160\) −185815. + 126686.i −0.0453650 + 0.0309293i
\(161\) 1.05651e6 + 842541.i 0.253161 + 0.201889i
\(162\) 6.14918e6 6.62724e6i 1.44635 1.55879i
\(163\) 869557. 5.76913e6i 0.200787 1.33213i −0.630456 0.776225i \(-0.717132\pi\)
0.831243 0.555909i \(-0.187630\pi\)
\(164\) 2.51038e6 + 1.09987e7i 0.569126 + 2.49350i
\(165\) 1.08615e6 + 1.88127e6i 0.241790 + 0.418793i
\(166\) −4.79761e6 2.76990e6i −1.04882 0.605536i
\(167\) −1.75063e6 539996.i −0.375875 0.115942i 0.101061 0.994880i \(-0.467776\pi\)
−0.476936 + 0.878938i \(0.658253\pi\)
\(168\) −4.02408e6 + 3.20910e6i −0.848670 + 0.676791i
\(169\) 132037. 1.76191e6i 0.0273548 0.365025i
\(170\) 2.14429e6 + 1.03264e6i 0.436453 + 0.210185i
\(171\) 1.48436e7i 2.96859i
\(172\) −3.52125e6 9.14016e6i −0.692009 1.79626i
\(173\) 337560. 0.0651947 0.0325973 0.999469i \(-0.489622\pi\)
0.0325973 + 0.999469i \(0.489622\pi\)
\(174\) 1.13835e7 2.36381e7i 2.16087 4.48709i
\(175\) −1.98678e6 148888.i −0.370710 0.0277809i
\(176\) 3.29019e6 + 4.12577e6i 0.603509 + 0.756776i
\(177\) 232304. 753111.i 0.0418926 0.135812i
\(178\) −1.96838e6 + 3.40934e6i −0.349019 + 0.604519i
\(179\) −5.79027e6 + 3.34302e6i −1.00958 + 0.582880i −0.911068 0.412256i \(-0.864741\pi\)
−0.0985101 + 0.995136i \(0.531408\pi\)
\(180\) −5.05632e6 + 1.15407e6i −0.866996 + 0.197886i
\(181\) 4.78763e6 + 721619.i 0.807393 + 0.121695i 0.539752 0.841824i \(-0.318518\pi\)
0.267641 + 0.963519i \(0.413756\pi\)
\(182\) −3.45449e6 3.20530e6i −0.573020 0.531685i
\(183\) −6.79577e6 + 8.52163e6i −1.10888 + 1.39049i
\(184\) 4.59648e6 + 6.74179e6i 0.737856 + 1.08224i
\(185\) 122721. 113868.i 0.0193822 0.0179841i
\(186\) −171363. 2.28668e6i −0.0266304 0.355358i
\(187\) −3.77681e6 + 9.62315e6i −0.577564 + 1.47161i
\(188\) −1.73050e6 + 7.58182e6i −0.260434 + 1.14104i
\(189\) 4.77678e6 1.47344e6i 0.707538 0.218246i
\(190\) 2.09666e6 3.07524e6i 0.305680 0.448351i
\(191\) −1.25125e6 8.30149e6i −0.179574 1.19140i −0.879047 0.476736i \(-0.841820\pi\)
0.699473 0.714659i \(-0.253418\pi\)
\(192\) 1.39087e7 5.45876e6i 1.96509 0.771241i
\(193\) −1.57653e6 + 759216.i −0.219295 + 0.105607i −0.540306 0.841468i \(-0.681692\pi\)
0.321011 + 0.947075i \(0.395977\pi\)
\(194\) 6.95571e6 + 1.44437e7i 0.952657 + 1.97821i
\(195\) −1.23455e6 3.14557e6i −0.166496 0.424224i
\(196\) 1.21403e7 1.82986e6i 1.61236 0.243024i
\(197\) 641244. + 437193.i 0.0838734 + 0.0571839i 0.604531 0.796582i \(-0.293361\pi\)
−0.520657 + 0.853766i \(0.674313\pi\)
\(198\) −1.00896e7 3.27098e7i −1.29981 4.21388i
\(199\) 4.02682e6 + 919096.i 0.510979 + 0.116628i 0.470234 0.882542i \(-0.344170\pi\)
0.0407455 + 0.999170i \(0.487027\pi\)
\(200\) −1.11986e7 4.39513e6i −1.39983 0.549391i
\(201\) 7.89762e6 591845.i 0.972541 0.0728819i
\(202\) −5.45835e6 5.88271e6i −0.662228 0.713712i
\(203\) 4.48565e6 3.05826e6i 0.536212 0.365583i
\(204\) −2.85781e7 2.27903e7i −3.36623 2.68448i
\(205\) −1.73007e6 + 1.86457e6i −0.200818 + 0.216430i
\(206\) −3.07544e6 + 2.04042e7i −0.351808 + 2.33409i
\(207\) −3.39770e6 1.48863e7i −0.383066 1.67832i
\(208\) −4.10440e6 7.10904e6i −0.456100 0.789988i
\(209\) 1.40009e7 + 8.08342e6i 1.53362 + 0.885434i
\(210\) −2.30778e6 711857.i −0.249194 0.0768661i
\(211\) 6.85833e6 5.46934e6i 0.730081 0.582220i −0.186316 0.982490i \(-0.559655\pi\)
0.916397 + 0.400270i \(0.131083\pi\)
\(212\) −1.26018e6 + 1.68160e7i −0.132259 + 1.76488i
\(213\) −2.96954e7 1.43006e7i −3.07292 1.47984i
\(214\) 1.26586e7i 1.29165i
\(215\) 1.25546e6 1.81684e6i 0.126325 0.182810i
\(216\) 3.01842e7 2.99515
\(217\) 205879. 427512.i 0.0201480 0.0418378i
\(218\) 2.31016e7 + 1.73123e6i 2.22983 + 0.167103i
\(219\) 1.05959e7 + 1.32868e7i 1.00880 + 1.26500i
\(220\) −1.66498e6 + 5.39774e6i −0.156366 + 0.506925i
\(221\) 8.04052e6 1.39266e7i 0.744916 1.29023i
\(222\) −3.38345e6 + 1.95344e6i −0.309244 + 0.178542i
\(223\) 1.17543e7 2.68284e6i 1.05994 0.241925i 0.343200 0.939262i \(-0.388489\pi\)
0.716743 + 0.697337i \(0.245632\pi\)
\(224\) 1.07389e6 + 161863.i 0.0955467 + 0.0144013i
\(225\) 1.65026e7 + 1.53122e7i 1.44879 + 1.34428i
\(226\) −2.32028e7 + 2.90953e7i −2.01008 + 2.52057i
\(227\) 1.41781e6 + 2.07954e6i 0.121210 + 0.177783i 0.882048 0.471159i \(-0.156164\pi\)
−0.760838 + 0.648942i \(0.775212\pi\)
\(228\) −4.19039e7 + 3.88811e7i −3.53549 + 3.28046i
\(229\) −351410. 4.68925e6i −0.0292623 0.390478i −0.992536 0.121955i \(-0.961084\pi\)
0.963273 0.268523i \(-0.0865355\pi\)
\(230\) −1.39877e6 + 3.56401e6i −0.114964 + 0.292924i
\(231\) 2.33429e6 1.02272e7i 0.189373 0.829698i
\(232\) 3.13250e7 9.66249e6i 2.50858 0.773794i
\(233\) −3.12819e6 + 4.58821e6i −0.247300 + 0.362723i −0.929739 0.368220i \(-0.879967\pi\)
0.682438 + 0.730943i \(0.260920\pi\)
\(234\) 7.93617e6 + 5.26530e7i 0.619389 + 4.10938i
\(235\) −1.63218e6 + 640583.i −0.125766 + 0.0493596i
\(236\) 1.84643e6 889193.i 0.140474 0.0676488i
\(237\) 1.93410e6 + 4.01620e6i 0.145289 + 0.301697i
\(238\) −4.19890e6 1.06986e7i −0.311462 0.793591i
\(239\) 6.88547e6 1.03782e6i 0.504359 0.0760199i 0.108066 0.994144i \(-0.465534\pi\)
0.396294 + 0.918124i \(0.370296\pi\)
\(240\) −3.47591e6 2.36983e6i −0.251440 0.171429i
\(241\) −4.66609e6 1.51271e7i −0.333351 1.08070i −0.954801 0.297245i \(-0.903932\pi\)
0.621450 0.783454i \(-0.286544\pi\)
\(242\) −1.27165e7 2.90246e6i −0.897268 0.204796i
\(243\) −3.85122e6 1.51149e6i −0.268398 0.105339i
\(244\) −2.82632e7 + 2.11803e6i −1.94559 + 0.145802i
\(245\) 1.88279e6 + 2.02917e6i 0.128028 + 0.137981i
\(246\) 4.90452e7 3.34384e7i 3.29451 2.24616i
\(247\) −1.96619e7 1.56799e7i −1.30477 1.04052i
\(248\) 1.94879e6 2.10030e6i 0.127765 0.137698i
\(249\) −2.85908e6 + 1.89687e7i −0.185194 + 1.22868i
\(250\) −2.57743e6 1.12925e7i −0.164956 0.722718i
\(251\) 6.90461e6 + 1.19591e7i 0.436634 + 0.756273i 0.997427 0.0716833i \(-0.0228371\pi\)
−0.560793 + 0.827956i \(0.689504\pi\)
\(252\) 2.16898e7 + 1.25226e7i 1.35536 + 0.782516i
\(253\) −1.58915e7 4.90186e6i −0.981300 0.302691i
\(254\) −8.54167e6 + 6.81175e6i −0.521245 + 0.415679i
\(255\) 615874. 8.21827e6i 0.0371425 0.495633i
\(256\) 2.86176e7 + 1.37815e7i 1.70574 + 0.821442i
\(257\) 1.54682e7i 0.911257i −0.890170 0.455628i \(-0.849415\pi\)
0.890170 0.455628i \(-0.150585\pi\)
\(258\) −3.79990e7 + 3.48169e7i −2.21265 + 2.02736i
\(259\) −808437. −0.0465315
\(260\) 3.81250e6 7.91673e6i 0.216915 0.450428i
\(261\) −6.11724e7 4.58424e6i −3.44060 0.257837i
\(262\) −2.01110e7 2.52184e7i −1.11823 1.40221i
\(263\) 2.96536e6 9.61345e6i 0.163008 0.528460i −0.836811 0.547493i \(-0.815582\pi\)
0.999819 + 0.0190325i \(0.00605861\pi\)
\(264\) 3.16710e7 5.48558e7i 1.72127 2.98133i
\(265\) −3.29264e6 + 1.90101e6i −0.176932 + 0.102152i
\(266\) −1.75230e7 + 3.99951e6i −0.931029 + 0.212501i
\(267\) 1.34798e7 + 2.03175e6i 0.708189 + 0.106742i
\(268\) 1.50964e7 + 1.40074e7i 0.784278 + 0.727703i
\(269\) 1.33226e7 1.67060e7i 0.684432 0.858251i −0.311322 0.950305i \(-0.600772\pi\)
0.995754 + 0.0920535i \(0.0293431\pi\)
\(270\) 7.97834e6 + 1.17021e7i 0.405342 + 0.594527i
\(271\) −1.67435e7 + 1.55357e7i −0.841276 + 0.780590i −0.977688 0.210062i \(-0.932633\pi\)
0.136412 + 0.990652i \(0.456443\pi\)
\(272\) −1.49611e6 1.99642e7i −0.0743459 0.992077i
\(273\) −5.96169e6 + 1.51901e7i −0.293009 + 0.746576i
\(274\) −752951. + 3.29889e6i −0.0366029 + 0.160368i
\(275\) 2.34297e7 7.22711e6i 1.12660 0.347510i
\(276\) 3.31245e7 4.85847e7i 1.57551 2.31085i
\(277\) 1.20929e6 + 8.02310e6i 0.0568971 + 0.377488i 0.999099 + 0.0424419i \(0.0135137\pi\)
−0.942202 + 0.335046i \(0.891248\pi\)
\(278\) −2.39900e7 + 9.41537e6i −1.11659 + 0.438231i
\(279\) −4.83059e6 + 2.32629e6i −0.222427 + 0.107115i
\(280\) −1.30927e6 2.71873e6i −0.0596425 0.123849i
\(281\) −9.25106e6 2.35713e7i −0.416939 1.06234i −0.972919 0.231147i \(-0.925752\pi\)
0.555980 0.831196i \(-0.312343\pi\)
\(282\) 4.04617e7 6.09863e6i 1.80425 0.271947i
\(283\) −5.48442e6 3.73921e6i −0.241975 0.164976i 0.436260 0.899821i \(-0.356303\pi\)
−0.678236 + 0.734845i \(0.737255\pi\)
\(284\) −2.52621e7 8.18976e7i −1.10284 3.57533i
\(285\) −1.25652e7 2.86791e6i −0.542792 0.123889i
\(286\) 5.39856e7 + 2.11878e7i 2.30770 + 0.905707i
\(287\) 1.22487e7 917916.i 0.518138 0.0388291i
\(288\) −8.34659e6 8.99549e6i −0.349407 0.376571i
\(289\) 1.24613e7 8.49596e6i 0.516261 0.351981i
\(290\) 1.20259e7 + 9.59036e6i 0.493088 + 0.393225i
\(291\) 3.77581e7 4.06935e7i 1.53225 1.65138i
\(292\) −6.58635e6 + 4.36976e7i −0.264543 + 1.75513i
\(293\) 4.10867e6 + 1.80013e7i 0.163342 + 0.715649i 0.988559 + 0.150833i \(0.0481957\pi\)
−0.825217 + 0.564816i \(0.808947\pi\)
\(294\) −3.22997e7 5.59448e7i −1.27103 2.20149i
\(295\) 400156. + 231030.i 0.0155870 + 0.00899917i
\(296\) −4.66464e6 1.43885e6i −0.179864 0.0554806i
\(297\) −4.80975e7 + 3.83565e7i −1.83592 + 1.46410i
\(298\) 1.98891e6 2.65402e7i 0.0751565 1.00289i
\(299\) 2.33076e7 + 1.12243e7i 0.871935 + 0.419902i
\(300\) 8.66957e7i 3.21095i
\(301\) −1.04118e7 + 2.30783e6i −0.381793 + 0.0846259i
\(302\) −7.16341e7 −2.60075
\(303\) −1.20570e7 + 2.50365e7i −0.433421 + 0.900008i
\(304\) −3.12213e7 2.33971e6i −1.11130 0.0832802i
\(305\) −3.98421e6 4.99604e6i −0.140424 0.176087i
\(306\) −3.82781e7 + 1.24095e8i −1.33594 + 4.33101i
\(307\) −1.41589e7 + 2.45240e7i −0.489345 + 0.847570i −0.999925 0.0122601i \(-0.996097\pi\)
0.510580 + 0.859830i \(0.329431\pi\)
\(308\) 2.36233e7 1.36389e7i 0.808517 0.466798i
\(309\) 6.96615e7 1.58998e7i 2.36112 0.538909i
\(310\) 1.32937e6 + 200371.i 0.0446233 + 0.00672588i
\(311\) −2.17393e7 2.01711e7i −0.722709 0.670576i 0.230437 0.973087i \(-0.425985\pi\)
−0.953146 + 0.302511i \(0.902175\pi\)
\(312\) −6.14340e7 + 7.70358e7i −2.02276 + 2.53647i
\(313\) 1.44085e7 + 2.11333e7i 0.469877 + 0.689183i 0.985889 0.167398i \(-0.0535364\pi\)
−0.516012 + 0.856581i \(0.672584\pi\)
\(314\) 5.37327e7 4.98566e7i 1.73560 1.61040i
\(315\) 421984. + 5.63099e6i 0.0135010 + 0.180158i
\(316\) −4.23479e6 + 1.07901e7i −0.134206 + 0.341950i
\(317\) −1.05116e7 + 4.60543e7i −0.329982 + 1.44575i 0.489179 + 0.872183i \(0.337296\pi\)
−0.819161 + 0.573563i \(0.805561\pi\)
\(318\) 8.47858e7 2.61530e7i 2.63659 0.813279i
\(319\) −3.76368e7 + 5.52031e7i −1.15942 + 1.70056i
\(320\) 1.30559e6 + 8.66205e6i 0.0398436 + 0.264345i
\(321\) 4.08036e7 1.60142e7i 1.23362 0.484162i
\(322\) 1.66579e7 8.02202e6i 0.498945 0.240279i
\(323\) −2.66118e7 5.52600e7i −0.789708 1.63985i
\(324\) −2.97403e7 7.57772e7i −0.874402 2.22794i
\(325\) −3.77149e7 + 5.68461e6i −1.09866 + 0.165596i
\(326\) −6.59543e7 4.49669e7i −1.90366 1.29790i
\(327\) −2.36451e7 7.66557e7i −0.676236 2.19230i
\(328\) 7.23083e7 + 1.65039e7i 2.04912 + 0.467698i
\(329\) 7.88189e6 + 3.09341e6i 0.221331 + 0.0868661i
\(330\) 2.96383e7 2.22108e6i 0.824730 0.0618049i
\(331\) 2.13302e7 + 2.29885e7i 0.588180 + 0.633908i 0.955078 0.296353i \(-0.0957706\pi\)
−0.366898 + 0.930261i \(0.619580\pi\)
\(332\) −4.12145e7 + 2.80995e7i −1.12625 + 0.767865i
\(333\) 7.14187e6 + 5.69545e6i 0.193410 + 0.154239i
\(334\) −1.70489e7 + 1.83744e7i −0.457571 + 0.493144i
\(335\) −692030. + 4.59132e6i −0.0184073 + 0.122125i
\(336\) 4.52060e6 + 1.98060e7i 0.119173 + 0.522131i
\(337\) −1.00760e7 1.74522e7i −0.263269 0.455996i 0.703839 0.710359i \(-0.251467\pi\)
−0.967109 + 0.254363i \(0.918134\pi\)
\(338\) −2.09353e7 1.20870e7i −0.542161 0.313017i
\(339\) 1.23139e8 + 3.79834e7i 3.16080 + 0.974978i
\(340\) 1.67547e7 1.33614e7i 0.426285 0.339951i
\(341\) −436387. + 5.82318e6i −0.0110055 + 0.146858i
\(342\) 1.82978e8 + 8.81174e7i 4.57425 + 2.20284i
\(343\) 2.91480e7i 0.722315i
\(344\) −6.41833e7 5.21490e6i −1.57669 0.128106i
\(345\) 1.32578e7 0.322859
\(346\) 2.00388e6 4.16111e6i 0.0483776 0.100457i
\(347\) 6.86418e7 + 5.14399e6i 1.64286 + 0.123115i 0.863799 0.503836i \(-0.168078\pi\)
0.779059 + 0.626951i \(0.215697\pi\)
\(348\) −1.47293e8 1.84699e8i −3.49497 4.38256i
\(349\) −6.35187e6 + 2.05923e7i −0.149426 + 0.484426i −0.999079 0.0429159i \(-0.986335\pi\)
0.849653 + 0.527342i \(0.176811\pi\)
\(350\) −1.36296e7 + 2.36072e7i −0.317892 + 0.550605i
\(351\) 8.28758e7 4.78484e7i 1.91649 1.10649i
\(352\) −1.30301e7 + 2.97404e6i −0.298759 + 0.0681897i
\(353\) −5.95303e7 8.97275e6i −1.35336 0.203987i −0.568003 0.823026i \(-0.692284\pi\)
−0.785360 + 0.619040i \(0.787522\pi\)
\(354\) −7.90458e6 7.33438e6i −0.178184 0.165331i
\(355\) 1.20479e7 1.51076e7i 0.269294 0.337684i
\(356\) 1.99684e7 + 2.92883e7i 0.442582 + 0.649149i
\(357\) −2.91739e7 + 2.70694e7i −0.641194 + 0.594941i
\(358\) 6.83617e6 + 9.12224e7i 0.148992 + 1.98816i
\(359\) −7.86619e6 + 2.00427e7i −0.170012 + 0.433185i −0.990331 0.138722i \(-0.955701\pi\)
0.820319 + 0.571906i \(0.193796\pi\)
\(360\) −7.58717e6 + 3.32416e7i −0.162619 + 0.712482i
\(361\) −4.67008e7 + 1.44053e7i −0.992665 + 0.306197i
\(362\) 3.73167e7 5.47335e7i 0.786642 1.15379i
\(363\) 6.73174e6 + 4.46622e7i 0.140737 + 0.933728i
\(364\) −3.94993e7 + 1.55023e7i −0.819003 + 0.321435i
\(365\) −8.97679e6 + 4.32299e6i −0.184605 + 0.0889009i
\(366\) 6.47041e7 + 1.34359e8i 1.31974 + 2.74047i
\(367\) −3.03042e7 7.72138e7i −0.613062 1.56206i −0.813010 0.582250i \(-0.802173\pi\)
0.199948 0.979806i \(-0.435923\pi\)
\(368\) 3.18466e7 4.80011e6i 0.639028 0.0963180i
\(369\) −1.14674e8 7.81835e7i −2.28237 1.55609i
\(370\) −675140. 2.18875e6i −0.0133287 0.0432107i
\(371\) 1.78998e7 + 4.08552e6i 0.350532 + 0.0800066i
\(372\) −1.92204e7 7.54344e6i −0.373364 0.146535i
\(373\) −3.25796e7 + 2.44150e6i −0.627796 + 0.0470468i −0.384829 0.922988i \(-0.625740\pi\)
−0.242967 + 0.970035i \(0.578121\pi\)
\(374\) 9.62043e7 + 1.03684e8i 1.83899 + 1.98196i
\(375\) −3.31394e7 + 2.25940e7i −0.628421 + 0.428450i
\(376\) 3.99725e7 + 3.18770e7i 0.751965 + 0.599672i
\(377\) 7.06911e7 7.61869e7i 1.31929 1.42186i
\(378\) 1.01936e7 6.76304e7i 0.188736 1.25218i
\(379\) −1.61764e7 7.08734e7i −0.297142 1.30186i −0.874362 0.485275i \(-0.838719\pi\)
0.577220 0.816589i \(-0.304138\pi\)
\(380\) −1.67569e7 2.90237e7i −0.305381 0.528935i
\(381\) 3.27629e7 + 1.89157e7i 0.592390 + 0.342016i
\(382\) −1.09761e8 3.38567e7i −1.96905 0.607371i
\(383\) 2.70147e7 2.15435e7i 0.480844 0.383460i −0.352856 0.935678i \(-0.614790\pi\)
0.833700 + 0.552217i \(0.186218\pi\)
\(384\) 1.34424e7 1.79377e8i 0.237402 3.16791i
\(385\) 5.54110e6 + 2.66845e6i 0.0970988 + 0.0467603i
\(386\) 2.39409e7i 0.416274i
\(387\) 1.08239e8 + 5.29638e7i 1.86745 + 0.913790i
\(388\) 1.44350e8 2.47128
\(389\) −4.23534e7 + 8.79478e7i −0.719515 + 1.49409i 0.143900 + 0.989592i \(0.454036\pi\)
−0.863415 + 0.504495i \(0.831679\pi\)
\(390\) −4.61043e7 3.45504e6i −0.777226 0.0582451i
\(391\) 3.93373e7 + 4.93275e7i 0.658074 + 0.825199i
\(392\) 2.37912e7 7.71290e7i 0.394964 1.28044i
\(393\) −5.58465e7 + 9.67290e7i −0.920065 + 1.59360i
\(394\) 9.19596e6 5.30929e6i 0.150352 0.0868056i
\(395\) −2.54789e6 + 581540.i −0.0413419 + 0.00943601i
\(396\) −3.04779e8 4.59380e7i −4.90794 0.739753i
\(397\) −2.76580e7 2.56629e7i −0.442027 0.410141i 0.427509 0.904011i \(-0.359391\pi\)
−0.869536 + 0.493870i \(0.835582\pi\)
\(398\) 3.52345e7 4.41827e7i 0.558881 0.700814i
\(399\) 3.50601e7 + 5.14237e7i 0.551943 + 0.809552i
\(400\) −3.48081e7 + 3.22972e7i −0.543876 + 0.504643i
\(401\) 6.06598e6 + 8.09448e7i 0.0940736 + 1.25532i 0.821927 + 0.569592i \(0.192899\pi\)
−0.727854 + 0.685732i \(0.759482\pi\)
\(402\) 3.95876e7 1.00868e8i 0.609370 1.55265i
\(403\) 2.02132e6 8.85599e6i 0.0308830 0.135307i
\(404\) −6.90488e7 + 2.12987e7i −1.04716 + 0.323005i
\(405\) 1.03390e7 1.51645e7i 0.155637 0.228278i
\(406\) −1.10708e7 7.34498e7i −0.165424 1.09752i
\(407\) 9.26137e6 3.63482e6i 0.137370 0.0539138i
\(408\) −2.16510e8 + 1.04266e8i −3.18784 + 1.53518i
\(409\) −9.75919e6 2.02652e7i −0.142641 0.296197i 0.817393 0.576080i \(-0.195418\pi\)
−0.960034 + 0.279883i \(0.909704\pi\)
\(410\) 1.27143e7 + 3.23955e7i 0.184476 + 0.470038i
\(411\) 1.15862e7 1.74633e6i 0.166884 0.0251537i
\(412\) 1.53516e8 + 1.04665e8i 2.19514 + 1.49662i
\(413\) −657692. 2.13219e6i −0.00933625 0.0302674i
\(414\) −2.03674e8 4.64872e7i −2.87035 0.655138i
\(415\) −1.04691e7 4.10883e6i −0.146476 0.0574876i
\(416\) 2.07323e7 1.55367e6i 0.287984 0.0215814i
\(417\) 6.06988e7 + 6.54178e7i 0.837090 + 0.902169i
\(418\) 1.82759e8 1.24603e8i 2.50237 1.70608i
\(419\) −1.82469e7 1.45515e7i −0.248055 0.197817i 0.491567 0.870840i \(-0.336424\pi\)
−0.739622 + 0.673022i \(0.764996\pi\)
\(420\) −1.47911e7 + 1.59410e7i −0.199642 + 0.215163i
\(421\) −1.29599e7 + 8.59830e7i −0.173682 + 1.15230i 0.716799 + 0.697280i \(0.245607\pi\)
−0.890480 + 0.455022i \(0.849631\pi\)
\(422\) −2.67070e7 1.17011e8i −0.355376 1.55700i
\(423\) −4.78368e7 8.28557e7i −0.632034 1.09472i
\(424\) 9.60098e7 + 5.54313e7i 1.25956 + 0.727206i
\(425\) −8.88880e7 2.74183e7i −1.15791 0.357169i
\(426\) −3.52567e8 + 2.81163e8i −4.56051 + 3.63688i
\(427\) −2.30606e6 + 3.07723e7i −0.0296202 + 0.395253i
\(428\) 1.02694e8 + 4.94548e7i 1.30983 + 0.630779i
\(429\) 2.00821e8i 2.54353i
\(430\) −1.49433e7 2.62616e7i −0.187949 0.330305i
\(431\) 1.44981e7 0.181083 0.0905416 0.995893i \(-0.471140\pi\)
0.0905416 + 0.995893i \(0.471140\pi\)
\(432\) 5.16921e7 1.07340e8i 0.641170 1.33140i
\(433\) 4.59054e7 + 3.44014e6i 0.565458 + 0.0423752i 0.354393 0.935097i \(-0.384688\pi\)
0.211065 + 0.977472i \(0.432307\pi\)
\(434\) −4.04778e6 5.07575e6i −0.0495162 0.0620914i
\(435\) 1.56996e7 5.08969e7i 0.190731 0.618335i
\(436\) 1.04298e8 1.80650e8i 1.25840 2.17961i
\(437\) 8.54486e7 4.93338e7i 1.02391 0.591153i
\(438\) 2.26689e8 5.17402e7i 2.69778 0.615752i
\(439\) 2.15589e7 + 3.24948e6i 0.254819 + 0.0384078i 0.275210 0.961384i \(-0.411253\pi\)
−0.0203902 + 0.999792i \(0.506491\pi\)
\(440\) 2.72226e7 + 2.52589e7i 0.319574 + 0.296521i
\(441\) −9.41732e7 + 1.18090e8i −1.09802 + 1.37688i
\(442\) −1.23942e8 1.81789e8i −1.43533 2.10524i
\(443\) −1.19660e8 + 1.11028e8i −1.37638 + 1.27709i −0.453891 + 0.891057i \(0.649964\pi\)
−0.922485 + 0.386033i \(0.873845\pi\)
\(444\) 2.62890e6 + 3.50803e7i 0.0300349 + 0.400787i
\(445\) −2.91987e6 + 7.43970e6i −0.0331347 + 0.0844258i
\(446\) 3.67066e7 1.60822e8i 0.413752 1.81276i
\(447\) −8.80655e7 + 2.71646e7i −0.986014 + 0.304145i
\(448\) 2.38296e7 3.49516e7i 0.265022 0.388716i
\(449\) −1.53819e7 1.02052e8i −0.169931 1.12742i −0.897381 0.441256i \(-0.854533\pi\)
0.727451 0.686160i \(-0.240705\pi\)
\(450\) 2.86719e8 1.12529e8i 3.14644 1.23489i
\(451\) −1.36193e8 + 6.55872e7i −1.48466 + 0.714973i
\(452\) 1.45390e8 + 3.01905e8i 1.57441 + 3.26930i
\(453\) 9.06234e7 + 2.30905e8i 0.974868 + 2.48392i
\(454\) 3.40512e7 5.13240e6i 0.363886 0.0548470i
\(455\) −7.90460e6 5.38927e6i −0.0839162 0.0572131i
\(456\) 1.10771e8 + 3.59112e8i 1.16824 + 3.78735i
\(457\) −3.86942e7 8.83170e6i −0.405413 0.0925328i 0.0149517 0.999888i \(-0.495241\pi\)
−0.420364 + 0.907355i \(0.638098\pi\)
\(458\) −5.98906e7 2.35053e7i −0.623394 0.244664i
\(459\) 2.32739e8 1.74414e7i 2.40675 0.180361i
\(460\) 2.34486e7 + 2.52716e7i 0.240904 + 0.259632i
\(461\) 2.43183e7 1.65800e7i 0.248217 0.169231i −0.432820 0.901480i \(-0.642482\pi\)
0.681037 + 0.732249i \(0.261529\pi\)
\(462\) −1.12214e8 8.94873e7i −1.13794 0.907477i
\(463\) −8.11598e7 + 8.74694e7i −0.817707 + 0.881279i −0.994688 0.102936i \(-0.967176\pi\)
0.176981 + 0.984214i \(0.443367\pi\)
\(464\) 1.92845e7 1.27944e8i 0.193043 1.28076i
\(465\) −1.03590e6 4.53857e6i −0.0103029 0.0451399i
\(466\) 3.79889e7 + 6.57987e7i 0.375404 + 0.650218i
\(467\) −5.81334e7 3.35633e7i −0.570788 0.329545i 0.186676 0.982422i \(-0.440229\pi\)
−0.757464 + 0.652877i \(0.773562\pi\)
\(468\) 4.58157e8 + 1.41323e8i 4.46969 + 1.37872i
\(469\) 1.75304e7 1.39800e7i 0.169931 0.135515i
\(470\) −1.79276e6 + 2.39227e7i −0.0172674 + 0.230418i
\(471\) −2.28684e8 1.10128e8i −2.18863 1.05399i
\(472\) 1.34732e7i 0.128128i
\(473\) 1.08901e8 7.32510e7i 1.02908 0.692197i
\(474\) 6.09894e7 0.572690
\(475\) −6.31177e7 + 1.31065e8i −0.588939 + 1.22295i
\(476\) −1.03198e8 7.73361e6i −0.956863 0.0717069i
\(477\) −1.29348e8 1.62197e8i −1.19180 1.49447i
\(478\) 2.80816e7 9.10383e7i 0.257121 0.833567i
\(479\) −2.39321e7 + 4.14517e7i −0.217758 + 0.377169i −0.954122 0.299417i \(-0.903208\pi\)
0.736364 + 0.676586i \(0.236541\pi\)
\(480\) 9.22734e6 5.32741e6i 0.0834359 0.0481717i
\(481\) −1.50885e7 + 3.44384e6i −0.135584 + 0.0309462i
\(482\) −2.14172e8 3.22813e7i −1.91259 0.288276i
\(483\) −4.69318e7 4.35464e7i −0.416510 0.386465i
\(484\) −7.32276e7 + 9.18245e7i −0.645861 + 0.809884i
\(485\) 1.83336e7 + 2.68905e7i 0.160703 + 0.235708i
\(486\) −4.14946e7 + 3.85014e7i −0.361479 + 0.335403i
\(487\) 270545. + 3.61018e6i 0.00234236 + 0.0312566i 0.998253 0.0590926i \(-0.0188207\pi\)
−0.995910 + 0.0903492i \(0.971202\pi\)
\(488\) −6.80741e7 + 1.73450e8i −0.585764 + 1.49250i
\(489\) −6.15079e7 + 2.69484e8i −0.526022 + 2.30465i
\(490\) 3.61906e7 1.11633e7i 0.307615 0.0948867i
\(491\) −2.89124e7 + 4.24067e7i −0.244253 + 0.358253i −0.928714 0.370796i \(-0.879085\pi\)
0.684462 + 0.729049i \(0.260037\pi\)
\(492\) −7.96617e7 5.28521e8i −0.668889 4.43779i
\(493\) 2.35952e8 9.26045e7i 1.96917 0.772843i
\(494\) −3.10007e8 + 1.49292e8i −2.57153 + 1.23838i
\(495\) −3.01517e7 6.26107e7i −0.248597 0.516218i
\(496\) −4.13159e6 1.05271e7i −0.0338588 0.0862708i
\(497\) −9.22715e7 + 1.39077e7i −0.751620 + 0.113289i
\(498\) 2.16856e8 + 1.47850e8i 1.75583 + 1.19711i
\(499\) −2.49919e7 8.10217e7i −0.201139 0.652078i −0.998800 0.0489716i \(-0.984406\pi\)
0.797661 0.603106i \(-0.206071\pi\)
\(500\) −1.01681e8 2.32080e7i −0.813446 0.185664i
\(501\) 8.07963e7 + 3.17102e7i 0.642507 + 0.252166i
\(502\) 1.88409e8 1.41193e7i 1.48933 0.111610i
\(503\) 6.80233e7 + 7.33117e7i 0.534508 + 0.576062i 0.941348 0.337437i \(-0.109560\pi\)
−0.406840 + 0.913499i \(0.633369\pi\)
\(504\) 1.36043e8 9.27528e7i 1.06264 0.724495i
\(505\) −1.27374e7 1.01577e7i −0.0989024 0.0788720i
\(506\) −1.54763e8 + 1.66795e8i −1.19458 + 1.28745i
\(507\) −1.24761e7 + 8.27736e7i −0.0957316 + 0.635138i
\(508\) 2.18902e7 + 9.59073e7i 0.166978 + 0.731578i
\(509\) 1.58094e7 + 2.73827e7i 0.119884 + 0.207646i 0.919722 0.392571i \(-0.128414\pi\)
−0.799837 + 0.600217i \(0.795081\pi\)
\(510\) −9.76508e7 5.63787e7i −0.736149 0.425016i
\(511\) 4.59767e7 + 1.41819e7i 0.344568 + 0.106285i
\(512\) 1.49792e8 1.19455e8i 1.11603 0.890008i
\(513\) 2.72759e7 3.63972e8i 0.202035 2.69598i
\(514\) −1.90677e8 9.18253e7i −1.40414 0.676197i
\(515\) 4.18913e7i 0.306691i
\(516\) 1.34000e8 + 4.44293e8i 0.975341 + 3.23386i
\(517\) −1.04202e8 −0.754060
\(518\) −4.79920e6 + 9.96563e6i −0.0345286 + 0.0716994i
\(519\) −1.59480e7 1.19513e6i −0.114078 0.00854899i
\(520\) −3.60174e7 4.51644e7i −0.256155 0.321208i
\(521\) 6.68533e7 2.16733e8i 0.472726 1.53254i −0.334556 0.942376i \(-0.608586\pi\)
0.807282 0.590166i \(-0.200938\pi\)
\(522\) −4.19653e8 + 7.26861e8i −2.95039 + 5.11022i
\(523\) 8.82599e7 5.09569e7i 0.616962 0.356203i −0.158723 0.987323i \(-0.550738\pi\)
0.775685 + 0.631120i \(0.217404\pi\)
\(524\) −2.83156e8 + 6.46285e7i −1.96803 + 0.449190i
\(525\) 9.33379e7 + 1.40684e7i 0.645031 + 0.0972227i
\(526\) −1.00902e8 9.36233e7i −0.693333 0.643319i
\(527\) 1.38128e7 1.73207e7i 0.0943735 0.118341i
\(528\) −1.40838e8 2.06571e8i −0.956790 1.40335i
\(529\) 3.41161e7 3.16551e7i 0.230458 0.213834i
\(530\) 3.88739e6 + 5.18736e7i 0.0261114 + 0.348433i
\(531\) −9.21111e6 + 2.34695e7i −0.0615217 + 0.156755i
\(532\) −3.60127e7 + 1.57782e8i −0.239178 + 1.04791i
\(533\) 2.24697e8 6.93099e7i 1.48394 0.457734i
\(534\) 1.05067e8 1.54105e8i 0.689988 1.01203i
\(535\) 3.83019e6 + 2.54116e7i 0.0250126 + 0.165948i
\(536\) 1.26031e8 4.94635e7i 0.818432 0.321211i
\(537\) 2.85397e8 1.37440e8i 1.84300 0.887544i
\(538\) −1.26847e8 2.63401e8i −0.814580 1.69149i
\(539\) 6.01011e7 + 1.53135e8i 0.383810 + 0.977932i
\(540\) 1.26104e8 1.90071e7i 0.800844 0.120708i
\(541\) 1.44341e8 + 9.84101e7i 0.911587 + 0.621510i 0.925646 0.378392i \(-0.123523\pi\)
−0.0140586 + 0.999901i \(0.504475\pi\)
\(542\) 9.21133e7 + 2.98624e8i 0.578528 + 1.87554i
\(543\) −2.23636e8 5.10435e7i −1.39683 0.318817i
\(544\) 4.72001e7 + 1.85247e7i 0.293188 + 0.115068i
\(545\) 4.68994e7 3.51463e6i 0.289720 0.0217115i
\(546\) 1.51859e8 + 1.63665e8i 0.932956 + 1.00549i
\(547\) 2.27154e8 1.54871e8i 1.38790 0.946254i 0.388205 0.921573i \(-0.373095\pi\)
0.999695 0.0246810i \(-0.00785701\pi\)
\(548\) 2.38209e7 + 1.89966e7i 0.144749 + 0.115434i
\(549\) 2.37163e8 2.55601e8i 1.43328 1.54470i
\(550\) 4.99990e7 3.31722e8i 0.300520 1.99382i
\(551\) −8.82070e7 3.86460e8i −0.527289 2.31020i
\(552\) −1.93291e8 3.34789e8i −1.14919 1.99046i
\(553\) 1.09295e7 + 6.31018e6i 0.0646289 + 0.0373135i
\(554\) 1.06080e8 + 3.27213e7i 0.623884 + 0.192443i
\(555\) −6.20109e6 + 4.94520e6i −0.0362734 + 0.0289271i
\(556\) −1.73414e7 + 2.31405e8i −0.100893 + 1.34632i
\(557\) 4.32898e6 + 2.08472e6i 0.0250507 + 0.0120638i 0.446367 0.894850i \(-0.352718\pi\)
−0.421316 + 0.906914i \(0.638432\pi\)
\(558\) 7.33567e7i 0.422218i
\(559\) −1.84493e8 + 8.74258e7i −1.05620 + 0.500500i
\(560\) −1.19105e7 −0.0678210
\(561\) 2.12506e8 4.41273e8i 1.20360 2.49930i
\(562\) −3.45482e8 2.58903e7i −1.94633 0.145857i
\(563\) 5.85020e7 + 7.33592e7i 0.327828 + 0.411083i 0.918244 0.396016i \(-0.129608\pi\)
−0.590416 + 0.807099i \(0.701036\pi\)
\(564\) 1.08601e8 3.52076e8i 0.605336 1.96245i
\(565\) −3.77751e7 + 6.54284e7i −0.209440 + 0.362761i
\(566\) −7.86510e7 + 4.54092e7i −0.433766 + 0.250435i
\(567\) −8.64089e7 + 1.97223e7i −0.474034 + 0.108195i
\(568\) −5.57155e8 8.39776e7i −3.04040 0.458267i
\(569\) −1.49859e8 1.39049e8i −0.813479 0.754799i 0.159127 0.987258i \(-0.449132\pi\)
−0.972606 + 0.232460i \(0.925323\pi\)
\(570\) −1.09945e8 + 1.37866e8i −0.593675 + 0.744445i
\(571\) 7.93865e7 + 1.16439e8i 0.426421 + 0.625444i 0.977982 0.208690i \(-0.0669200\pi\)
−0.551561 + 0.834135i \(0.685968\pi\)
\(572\) 3.82800e8 3.55186e8i 2.04542 1.89788i
\(573\) 2.97235e7 + 3.96633e8i 0.157993 + 2.10826i
\(574\) 6.13981e7 1.56440e8i 0.324653 0.827202i
\(575\) 3.32984e7 1.45890e8i 0.175154 0.767400i
\(576\) −4.56749e8 + 1.40888e8i −2.39007 + 0.737238i
\(577\) −5.25885e7 + 7.71332e7i −0.273756 + 0.401526i −0.938355 0.345674i \(-0.887650\pi\)
0.664599 + 0.747201i \(0.268603\pi\)
\(578\) −3.07550e7 2.04046e8i −0.159269 1.05668i
\(579\) 7.71709e7 3.02874e7i 0.397574 0.156036i
\(580\) 1.24786e8 6.00937e7i 0.639560 0.307996i
\(581\) 2.35644e7 + 4.89319e7i 0.120151 + 0.249496i
\(582\) −2.77484e8 7.07017e8i −1.40757 3.58642i
\(583\) −2.23428e8 + 3.36763e7i −1.12754 + 0.169949i
\(584\) 2.40042e8 + 1.63658e8i 1.20517 + 0.821673i
\(585\) 3.18631e7 + 1.03298e8i 0.159155 + 0.515968i
\(586\) 2.46293e8 + 5.62147e7i 1.22394 + 0.279356i
\(587\) −7.80272e7 3.06234e7i −0.385773 0.151405i 0.164525 0.986373i \(-0.447391\pi\)
−0.550298 + 0.834968i \(0.685486\pi\)
\(588\) −5.80046e8 + 4.34684e7i −2.85319 + 0.213817i
\(589\) −2.35652e7 2.53972e7i −0.115325 0.124291i
\(590\) 5.22340e6 3.56125e6i 0.0254330 0.0173399i
\(591\) −2.87476e7 2.29255e7i −0.139264 0.111059i
\(592\) −1.31053e7 + 1.41241e7i −0.0631656 + 0.0680763i
\(593\) −5.52186e7 + 3.66351e8i −0.264802 + 1.75685i 0.321648 + 0.946859i \(0.395763\pi\)
−0.586449 + 0.809986i \(0.699475\pi\)
\(594\) 1.87296e8 + 8.20599e8i 0.893655 + 3.91536i
\(595\) −1.16663e7 2.02066e7i −0.0553836 0.0959273i
\(596\) −2.07539e8 1.19823e8i −0.980305 0.565980i
\(597\) −1.86993e8 5.76797e7i −0.878824 0.271081i
\(598\) 2.76726e8 2.20681e8i 1.29404 1.03196i
\(599\) 1.84770e6 2.46559e7i 0.00859710 0.114720i −0.991254 0.131966i \(-0.957871\pi\)
0.999851 + 0.0172462i \(0.00548992\pi\)
\(600\) 5.13516e8 + 2.47296e8i 2.37739 + 1.14489i
\(601\) 2.36978e8i 1.09165i 0.837899 + 0.545826i \(0.183784\pi\)
−0.837899 + 0.545826i \(0.816216\pi\)
\(602\) −3.33601e7 + 1.42047e8i −0.152911 + 0.651094i
\(603\) −2.53356e8 −1.15552
\(604\) −2.79861e8 + 5.81138e8i −1.27008 + 2.63735i
\(605\) −2.64062e7 1.97887e6i −0.119245 0.00893615i
\(606\) 2.37052e8 + 2.97253e8i 1.06518 + 1.33570i
\(607\) −1.08498e8 + 3.51743e8i −0.485129 + 1.57275i 0.300330 + 0.953835i \(0.402903\pi\)
−0.785459 + 0.618914i \(0.787573\pi\)
\(608\) 3.96479e7 6.86722e7i 0.176405 0.305542i
\(609\) −2.22752e8 + 1.28606e8i −0.986210 + 0.569388i
\(610\) −8.52382e7 + 1.94551e7i −0.375530 + 0.0857123i
\(611\) 1.60283e8 + 2.41588e7i 0.702690 + 0.105914i
\(612\) 8.57183e8 + 7.95350e8i 3.73955 + 3.46980i
\(613\) 2.40861e8 3.02030e8i 1.04564 1.31120i 0.0968518 0.995299i \(-0.469123\pi\)
0.948793 0.315898i \(-0.102306\pi\)
\(614\) 2.18255e8 + 3.20121e8i 0.942886 + 1.38296i
\(615\) 8.83386e7 8.19663e7i 0.379774 0.352379i
\(616\) −1.34015e7 1.78830e8i −0.0573338 0.765067i
\(617\) 9.94596e7 2.53419e8i 0.423439 1.07891i −0.546909 0.837192i \(-0.684195\pi\)
0.970348 0.241713i \(-0.0777093\pi\)
\(618\) 2.17540e8 9.53107e8i 0.921668 4.03809i
\(619\) −1.96375e8 + 6.05737e7i −0.827970 + 0.255395i −0.679643 0.733543i \(-0.737865\pi\)
−0.148327 + 0.988938i \(0.547389\pi\)
\(620\) 6.81914e6 1.00018e7i 0.0286124 0.0419667i
\(621\) 5.59588e7 + 3.71262e8i 0.233665 + 1.55026i
\(622\) −3.77702e8 + 1.48237e8i −1.56956 + 0.616008i
\(623\) 3.47726e7 1.67456e7i 0.143805 0.0692526i
\(624\) 1.68743e8 + 3.50397e8i 0.694498 + 1.44214i
\(625\) 7.61995e7 + 1.94153e8i 0.312113 + 0.795251i
\(626\) 3.46045e8 5.21580e7i 1.41062 0.212617i
\(627\) −6.32851e8 4.31471e8i −2.56743 1.75045i
\(628\) −1.94543e8 6.30692e8i −0.785481 2.54647i
\(629\) −3.67987e7 8.39907e6i −0.147870 0.0337504i
\(630\) 7.19184e7 + 2.82259e7i 0.287620 + 0.112882i
\(631\) 4.10606e8 3.07707e7i 1.63432 0.122475i 0.774329 0.632783i \(-0.218088\pi\)
0.859992 + 0.510308i \(0.170469\pi\)
\(632\) 5.18321e7 + 5.58618e7i 0.205328 + 0.221291i
\(633\) −3.43386e8 + 2.34116e8i −1.35385 + 0.923040i
\(634\) 5.05312e8 + 4.02973e8i 1.98286 + 1.58128i
\(635\) −1.50860e7 + 1.62588e7i −0.0589187 + 0.0634992i
\(636\) 1.19074e8 7.90007e8i 0.462858 3.07086i
\(637\) −5.69433e7 2.49485e8i −0.220305 0.965220i
\(638\) 4.57064e8 + 7.91657e8i 1.76001 + 3.04842i
\(639\) 9.13122e8 + 5.27191e8i 3.49966 + 2.02053i
\(640\) 1.00774e8 + 3.10847e7i 0.384423 + 0.118579i
\(641\) 9.61358e7 7.66657e7i 0.365015 0.291090i −0.423756 0.905776i \(-0.639289\pi\)
0.788772 + 0.614686i \(0.210717\pi\)
\(642\) 4.48179e7 5.98054e8i 0.169374 2.26014i
\(643\) 976911. + 470456.i 0.00367470 + 0.00176964i 0.435720 0.900082i \(-0.356494\pi\)
−0.432045 + 0.901852i \(0.642208\pi\)
\(644\) 1.66479e8i 0.623308i
\(645\) −6.57467e7 + 8.13912e7i −0.245016 + 0.303318i
\(646\) −8.39170e8 −3.11281
\(647\) −1.82008e7 + 3.77943e7i −0.0672013 + 0.139545i −0.931864 0.362808i \(-0.881818\pi\)
0.864663 + 0.502353i \(0.167532\pi\)
\(648\) −5.33677e8 3.99935e7i −1.96134 0.146982i
\(649\) 1.71210e7 + 2.14690e7i 0.0626318 + 0.0785378i
\(650\) −1.53816e8 + 4.98659e8i −0.560095 + 1.81578i
\(651\) −1.12403e7 + 1.94688e7i −0.0407414 + 0.0705662i
\(652\) −6.22469e8 + 3.59383e8i −2.24582 + 1.29662i
\(653\) 3.54180e8 8.08393e7i 1.27199 0.290324i 0.467344 0.884076i \(-0.345211\pi\)
0.804648 + 0.593752i \(0.202354\pi\)
\(654\) −1.08530e9 1.63583e8i −3.87988 0.584798i
\(655\) −4.80025e7 4.45398e7i −0.170821 0.158498i
\(656\) 1.82523e8 2.28876e8i 0.646555 0.810754i
\(657\) −3.06254e8 4.49192e8i −1.07990 1.58393i
\(658\) 8.49226e7 7.87966e7i 0.298089 0.276586i
\(659\) 3.29281e6 + 4.39396e7i 0.0115056 + 0.153532i 0.999997 + 0.00225777i \(0.000718670\pi\)
−0.988492 + 0.151274i \(0.951662\pi\)
\(660\) 9.77727e7 2.49121e8i 0.340084 0.866519i
\(661\) 9.85140e7 4.31618e8i 0.341109 1.49450i −0.455627 0.890171i \(-0.650585\pi\)
0.796737 0.604327i \(-0.206558\pi\)
\(662\) 4.10004e8 1.26469e8i 1.41323 0.435925i
\(663\) −4.29181e8 + 6.29493e8i −1.47265 + 2.15998i
\(664\) 4.88765e7 + 3.24275e8i 0.166954 + 1.10767i
\(665\) −3.39666e7 + 1.33309e7i −0.115501 + 0.0453309i
\(666\) 1.12605e8 5.42277e7i 0.381184 0.183569i
\(667\) 1.76921e8 + 3.67381e8i 0.596215 + 1.23805i
\(668\) 8.24568e7 + 2.10096e8i 0.276629 + 0.704838i
\(669\) −5.64830e8 + 8.51344e7i −1.88642 + 0.284333i
\(670\) 5.24892e7 + 3.57865e7i 0.174520 + 0.118986i
\(671\) −1.11937e8 3.62892e8i −0.370516 1.20118i
\(672\) −5.01627e7 1.14493e7i −0.165300 0.0377287i
\(673\) 1.15251e8 + 4.52326e7i 0.378093 + 0.148391i 0.546774 0.837280i \(-0.315856\pi\)
−0.168681 + 0.985671i \(0.553951\pi\)
\(674\) −2.74949e8 + 2.06046e7i −0.897993 + 0.0672953i
\(675\) −3.76514e8 4.05786e8i −1.22425 1.31943i
\(676\) −1.79847e8 + 1.22618e8i −0.582187 + 0.396929i
\(677\) 3.20320e8 + 2.55447e8i 1.03233 + 0.823255i 0.984462 0.175598i \(-0.0561860\pi\)
0.0478676 + 0.998854i \(0.484757\pi\)
\(678\) 1.19922e9 1.29246e9i 3.84779 4.14693i
\(679\) 2.34242e7 1.55410e8i 0.0748267 0.496442i
\(680\) −3.13503e7 1.37355e8i −0.0997045 0.436834i
\(681\) −5.96215e7 1.03268e8i −0.188782 0.326981i
\(682\) 6.91920e7 + 3.99480e7i 0.218124 + 0.125934i
\(683\) −1.92520e8 5.93846e7i −0.604246 0.186385i −0.0224881 0.999747i \(-0.507159\pi\)
−0.581758 + 0.813362i \(0.697635\pi\)
\(684\) 1.42972e9 1.14016e9i 4.46769 3.56286i
\(685\) −513354. + 6.85023e6i −0.00159715 + 0.0213124i
\(686\) −3.59309e8 1.73034e8i −1.11300 0.535993i
\(687\) 2.22787e8i 0.687100i
\(688\) −1.28463e8 + 2.19315e8i −0.394467 + 0.673447i
\(689\) 3.51482e8 1.07460
\(690\) 7.87032e7 1.63429e8i 0.239577 0.497487i
\(691\) −2.92229e8 2.18996e7i −0.885706 0.0663745i −0.375896 0.926662i \(-0.622665\pi\)
−0.509810 + 0.860287i \(0.670284\pi\)
\(692\) −2.59286e7 3.25134e7i −0.0782456 0.0981169i
\(693\) −9.89152e7 + 3.20675e8i −0.297210 + 0.963531i
\(694\) 4.70894e8 8.15613e8i 1.40879 2.44009i
\(695\) −4.53101e7 + 2.61598e7i −0.134971 + 0.0779256i
\(696\) −1.51416e9 + 3.45597e8i −4.49101 + 1.02504i
\(697\) 5.67079e8 + 8.54734e7i 1.67473 + 0.252425i
\(698\) 2.16134e8 + 2.00543e8i 0.635561 + 0.589715i
\(699\) 1.64036e8 2.05694e8i 0.480293 0.602269i
\(700\) 1.38267e8 + 2.02801e8i 0.403111 + 0.591255i
\(701\) −1.76704e8 + 1.63957e8i −0.512970 + 0.475967i −0.893665 0.448734i \(-0.851875\pi\)
0.380695 + 0.924701i \(0.375685\pi\)
\(702\) −9.78457e7 1.30566e9i −0.282833 3.77415i
\(703\) −2.15654e7 + 5.49477e7i −0.0620714 + 0.158155i
\(704\) −1.15843e8 + 5.07542e8i −0.332011 + 1.45464i
\(705\) 7.93801e7 2.44855e7i 0.226540 0.0698782i
\(706\) −4.64003e8 + 6.80567e8i −1.31858 + 1.93400i
\(707\) 1.17257e7 + 7.77951e7i 0.0331804 + 0.220138i
\(708\) −9.03826e7 + 3.54726e7i −0.254674 + 0.0999523i
\(709\) −1.93464e8 + 9.31676e7i −0.542828 + 0.261412i −0.685142 0.728409i \(-0.740260\pi\)
0.142314 + 0.989822i \(0.454546\pi\)
\(710\) −1.14711e8 2.38200e8i −0.320502 0.665528i
\(711\) −5.20982e7 1.32744e8i −0.144948 0.369323i
\(712\) 2.30440e8 3.47332e7i 0.638436 0.0962288i
\(713\) 2.94463e7 + 2.00762e7i 0.0812387 + 0.0553876i
\(714\) 1.60498e8 + 5.20322e8i 0.440935 + 1.42948i
\(715\) 1.14785e8 + 2.61989e7i 0.314027 + 0.0716746i
\(716\) 7.66757e8 + 3.00930e8i 2.08891 + 0.819835i
\(717\) −3.28978e8 + 2.46535e7i −0.892502 + 0.0668838i
\(718\) 2.00371e8 + 2.15948e8i 0.541328 + 0.583413i
\(719\) −1.25774e8 + 8.57510e7i −0.338379 + 0.230703i −0.720573 0.693379i \(-0.756121\pi\)
0.382194 + 0.924082i \(0.375169\pi\)
\(720\) 1.05219e8 + 8.39093e7i 0.281901 + 0.224808i
\(721\) 1.37596e8 1.48293e8i 0.367113 0.395653i
\(722\) −9.96595e7 + 6.61198e8i −0.264793 + 1.75679i
\(723\) 1.66891e8 + 7.31199e8i 0.441590 + 1.93473i
\(724\) −2.98241e8 5.16568e8i −0.785872 1.36117i
\(725\) −5.20644e8 3.00594e8i −1.36624 0.788799i
\(726\) 5.90515e8 + 1.82150e8i 1.54320 + 0.476013i
\(727\) 1.54097e8 1.22888e8i 0.401043 0.319821i −0.402113 0.915590i \(-0.631724\pi\)
0.803156 + 0.595769i \(0.203153\pi\)
\(728\) −2.08469e7 + 2.78182e8i −0.0540315 + 0.721000i
\(729\) −2.57397e8 1.23956e8i −0.664388 0.319952i
\(730\) 1.36320e8i 0.350422i
\(731\) −4.97907e8 3.12302e6i −1.27466 0.00799507i
\(732\) 1.34279e9 3.42354
\(733\) −2.11002e8 + 4.38151e8i −0.535766 + 1.11253i 0.440858 + 0.897577i \(0.354674\pi\)
−0.976624 + 0.214953i \(0.931040\pi\)
\(734\) −1.13171e9 8.48103e7i −2.86186 0.214467i
\(735\) −8.17680e7 1.02534e8i −0.205931 0.258229i
\(736\) −2.40429e7 + 7.79451e7i −0.0603050 + 0.195504i
\(737\) −1.37971e8 + 2.38972e8i −0.344654 + 0.596959i
\(738\) −1.64452e9 + 9.49465e8i −4.09138 + 2.36216i
\(739\) −3.10506e8 + 7.08710e7i −0.769372 + 0.175604i −0.589152 0.808022i \(-0.700538\pi\)
−0.180220 + 0.983626i \(0.557681\pi\)
\(740\) −2.03941e7 3.07391e6i −0.0503279 0.00758571i
\(741\) 8.73411e8 + 8.10407e8i 2.14666 + 1.99181i
\(742\) 1.56623e8 1.96399e8i 0.383392 0.480758i
\(743\) −2.39249e8 3.50913e8i −0.583288 0.855526i 0.415243 0.909710i \(-0.363696\pi\)
−0.998531 + 0.0541844i \(0.982744\pi\)
\(744\) −9.95067e7 + 9.23288e7i −0.241620 + 0.224191i
\(745\) −4.03776e6 5.38802e7i −0.00976499 0.130305i
\(746\) −1.63308e8 + 4.16103e8i −0.393362 + 1.00227i
\(747\) 1.36554e8 5.98284e8i 0.327600 1.43531i
\(748\) 1.21699e9 3.75393e8i 2.90793 0.896977i
\(749\) 6.99083e7 1.02537e8i 0.166373 0.244024i
\(750\) 8.17894e7 + 5.42637e8i 0.193871 + 1.28625i
\(751\) −1.11173e8 + 4.36321e7i −0.262469 + 0.103012i −0.492927 0.870071i \(-0.664073\pi\)
0.230458 + 0.973082i \(0.425978\pi\)
\(752\) 1.81815e8 8.75574e7i 0.427539 0.205892i