Properties

Label 43.7.h.a.29.20
Level 43
Weight 7
Character 43.29
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 29.20
Character \(\chi\) \(=\) 43.29
Dual form 43.7.h.a.3.20

$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{41}{42}\right)\)

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 0.838108 + 0.545504i \(0.183662\pi\)
−0.0960596 + 0.995376i \(0.530624\pi\)
\(3\) −47.2449 + 3.54052i −1.74981 + 0.131130i −0.910764 0.412928i \(-0.864506\pi\)
−0.839048 + 0.544058i \(0.816887\pi\)
\(4\) −76.8118 + 96.3189i −1.20018 + 1.50498i
\(5\) 8.18721 + 26.5423i 0.0654977 + 0.212338i 0.982405 0.186761i \(-0.0597991\pi\)
−0.916908 + 0.399099i \(0.869323\pi\)
\(6\) −324.108 561.372i −1.50050 2.59894i
\(7\) −116.163 67.0667i −0.338667 0.195530i 0.321015 0.947074i \(-0.395976\pi\)
−0.659683 + 0.751544i \(0.729309\pi\)
\(8\) −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 0.999991 0.00431837i \(-0.00137458\pi\)
−0.226729 + 0.973958i \(0.572803\pi\)
\(12\) 3287.95 4822.53i 1.90275 2.79082i
\(13\) −1882.34 1746.56i −0.856777 0.794973i 0.123553 0.992338i \(-0.460571\pi\)
−0.980330 + 0.197365i \(0.936762\pi\)
\(14\) 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 −0.381897 0.924205i \(-0.624729\pi\)
−0.836161 + 0.548484i \(0.815205\pi\)
\(18\) 11681.4 + 17133.4i 2.00298 + 2.93783i
\(19\) 1459.69 9684.38i 0.212813 1.41192i −0.585984 0.810323i \(-0.699292\pi\)
0.798797 0.601601i \(-0.205470\pi\)
\(20\) −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 0.696094 + 0.717951i \(0.254920\pi\)
−0.998603 + 0.0528314i \(0.983175\pi\)
\(24\) 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 −0.785744 0.618552i \(-0.787720\pi\)
−0.869158 + 0.494534i \(0.835339\pi\)
\(30\) 12246.5 13198.6i 0.453576 0.488838i
\(31\) −2922.85 1992.77i −0.0981119 0.0668916i 0.513270 0.858227i \(-0.328434\pi\)
−0.611382 + 0.791335i \(0.709386\pi\)
\(32\) −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 −0.447591 0.894238i \(-0.647718\pi\)
0.550638 + 0.834744i \(0.314385\pi\)
\(38\) 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 −0.922846 0.385168i \(-0.874143\pi\)
−0.274249 + 0.961659i \(0.588429\pi\)
\(42\) 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 −0.934371 0.356301i \(-0.884038\pi\)
0.555285 + 0.831660i \(0.312609\pi\)
\(48\) 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 −0.941031 0.338321i \(-0.890141\pi\)
0.267051 + 0.963682i \(0.413951\pi\)
\(54\) −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 0.965116 0.261821i \(-0.0843232\pi\)
−0.983140 + 0.182855i \(0.941466\pi\)
\(60\) 154920. + 47786.5i 0.717223 + 0.221234i
\(61\) 129597. + 190083.i 0.570958 + 0.837442i 0.997759 0.0669038i \(-0.0213121\pi\)
−0.426801 + 0.904345i \(0.640360\pi\)
\(62\) 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 −0.131623 0.991300i \(-0.542019\pi\)
−0.417966 + 0.908462i \(0.637257\pi\)
\(68\) 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 0.818619 0.574337i \(-0.194740\pi\)
0.990739 0.135783i \(-0.0433551\pi\)
\(72\) −1.22410e6 91734.0i −3.27960 0.245772i
\(73\) −243981. + 262949.i −0.627173 + 0.675932i −0.964082 0.265605i \(-0.914428\pi\)
0.336908 + 0.941537i \(0.390619\pi\)
\(74\) 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 −0.909782 0.415086i \(-0.863752\pi\)
0.814366 + 0.580352i \(0.197085\pi\)
\(80\) 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 0.959065 + 0.283184i \(0.0913908\pi\)
−0.906147 + 0.422963i \(0.860990\pi\)
\(84\) −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 −0.276662 0.960967i \(-0.589228\pi\)
−0.130347 + 0.991468i \(0.541609\pi\)
\(90\) −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 −0.999717 0.0237858i \(-0.992428\pi\)
0.199269 0.979945i \(-0.436143\pi\)
\(98\) 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 0.996359 0.0852622i \(-0.0271728\pi\)
−0.788376 + 0.615194i \(0.789078\pi\)
\(102\) 903321. + 3.95771e6i 0.851219 + 3.72944i
\(103\) −1.44116e6 444540.i −1.31887 0.406817i −0.446113 0.894976i \(-0.647192\pi\)
−0.872754 + 0.488160i \(0.837668\pi\)
\(104\) 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 0.0615354 0.998105i \(-0.480400\pi\)
−0.741983 + 0.670419i \(0.766115\pi\)
\(108\) 1.99208e6 4.13659e6i 1.58137 3.28376i
\(109\) 618597. 1.57616e6i 0.477670 1.21708i −0.465581 0.885005i \(-0.654155\pi\)
0.943252 0.332079i \(-0.107750\pi\)
\(110\) −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 −0.993249 0.116006i \(-0.962991\pi\)
−0.844553 + 0.535472i \(0.820134\pi\)
\(114\) −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 −0.601172 0.799120i \(-0.705299\pi\)
0.249952 + 0.968258i \(0.419585\pi\)
\(128\) 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 0.994686 + 0.102955i \(0.0328299\pi\)
−0.539683 + 0.841868i \(0.681456\pi\)
\(132\) 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 0.175379 0.984501i \(-0.443885\pi\)
−0.269148 + 0.963099i \(0.586742\pi\)
\(138\) 6.45753e6 973316.i 2.45714 0.370354i
\(139\) −1.38078e6 + 1.28118e6i −0.514139 + 0.477051i −0.894047 0.447973i \(-0.852146\pi\)
0.379908 + 0.925024i \(0.375956\pi\)
\(140\) 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 0.622891 0.782309i \(-0.285958\pi\)
−0.0754935 + 0.997146i \(0.524053\pi\)
\(150\) −8.67477e6 4.17755e6i −2.57030 1.23779i
\(151\) −2.27167e6 + 4.71716e6i −0.659802 + 1.37009i 0.255297 + 0.966863i \(0.417827\pi\)
−0.915099 + 0.403230i \(0.867887\pi\)
\(152\) −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 0.380670 0.924711i \(-0.375693\pi\)
0.908014 + 0.418939i \(0.137598\pi\)
\(158\) −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 0.831243 + 0.555909i \(0.187630\pi\)
−0.630456 + 0.776225i \(0.717132\pi\)
\(164\) 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 −0.476936 0.878938i \(-0.658253\pi\)
0.101061 + 0.994880i \(0.467776\pi\)
\(168\) −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 −0.0985101 0.995136i \(-0.531408\pi\)
−0.911068 + 0.412256i \(0.864741\pi\)
\(180\) −5.05632e6 1.15407e6i −0.866996 0.197886i
\(181\) 4.78763e6 721619.i 0.807393 0.121695i 0.267641 0.963519i \(-0.413756\pi\)
0.539752 + 0.841824i \(0.318518\pi\)
\(182\) −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 0.699473 + 0.714659i \(0.253418\pi\)
−0.879047 + 0.476736i \(0.841820\pi\)
\(192\) 1.39087e7 + 5.45876e6i 1.96509 + 0.771241i
\(193\) −1.57653e6 759216.i −0.219295 0.105607i 0.321011 0.947075i \(-0.395977\pi\)
−0.540306 + 0.841468i \(0.681692\pi\)
\(194\) 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 −0.520657 0.853766i \(-0.674313\pi\)
0.604531 + 0.796582i \(0.293361\pi\)
\(198\) −1.00896e7 + 3.27098e7i −1.29981 + 4.21388i
\(199\) 4.02682e6 919096.i 0.510979 0.116628i 0.0407455 0.999170i \(-0.487027\pi\)
0.470234 + 0.882542i \(0.344170\pi\)
\(200\) −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 0.916397 0.400270i \(-0.131083\pi\)
−0.186316 + 0.982490i \(0.559655\pi\)
\(212\) −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 0.716743 0.697337i \(-0.245632\pi\)
0.343200 + 0.939262i \(0.388489\pi\)
\(224\) 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 −0.760838 0.648942i \(-0.775212\pi\)
0.882048 + 0.471159i \(0.156164\pi\)
\(228\) −4.19039e7 3.88811e7i −3.53549 3.28046i
\(229\) −351410. + 4.68925e6i −0.0292623 + 0.390478i 0.963273 + 0.268523i \(0.0865355\pi\)
−0.992536 + 0.121955i \(0.961084\pi\)
\(230\) −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 0.682438 0.730943i \(-0.260920\pi\)
−0.929739 + 0.368220i \(0.879967\pi\)
\(234\) 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 0.396294 0.918124i \(-0.370296\pi\)
0.108066 + 0.994144i \(0.465534\pi\)
\(240\) −3.47591e6 + 2.36983e6i −0.251440 + 0.171429i
\(241\) −4.66609e6 + 1.51271e7i −0.333351 + 1.08070i 0.621450 + 0.783454i \(0.286544\pi\)
−0.954801 + 0.297245i \(0.903932\pi\)
\(242\) −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 −0.560793 0.827956i \(-0.689504\pi\)
0.997427 + 0.0716833i \(0.0228371\pi\)
\(252\) 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 \(0.150585\pi\)
−0.890170 + 0.455628i \(0.849415\pi\)
\(258\) −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 0.999819 0.0190325i \(-0.00605861\pi\)
−0.836811 + 0.547493i \(0.815582\pi\)
\(264\) 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 0.995754 0.0920535i \(-0.0293431\pi\)
−0.311322 + 0.950305i \(0.600772\pi\)
\(270\) 7.97834e6 1.17021e7i 0.405342 0.594527i
\(271\) −1.67435e7 1.55357e7i −0.841276 0.780590i 0.136412 0.990652i \(-0.456443\pi\)
−0.977688 + 0.210062i \(0.932633\pi\)
\(272\) −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 −0.942202 0.335046i \(-0.891248\pi\)
0.999099 0.0424419i \(-0.0135137\pi\)
\(278\) −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 0.555980 + 0.831196i \(0.312343\pi\)
−0.972919 + 0.231147i \(0.925752\pi\)
\(282\) 4.04617e7 + 6.09863e6i 1.80425 + 0.271947i
\(283\) −5.48442e6 + 3.73921e6i −0.241975 + 0.164976i −0.678236 0.734845i \(-0.737255\pi\)
0.436260 + 0.899821i \(0.356303\pi\)
\(284\) −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 −0.825217 0.564816i \(-0.808947\pi\)
0.988559 0.150833i \(-0.0481957\pi\)
\(294\) −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 0.510580 0.859830i \(-0.329431\pi\)
−0.999925 + 0.0122601i \(0.996097\pi\)
\(308\) 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 −0.953146 0.302511i \(-0.902175\pi\)
0.230437 + 0.973087i \(0.425985\pi\)
\(312\) −6.14340e7 7.70358e7i −2.02276 2.53647i
\(313\) 1.44085e7 2.11333e7i 0.469877 0.689183i −0.516012 0.856581i \(-0.672584\pi\)
0.985889 + 0.167398i \(0.0535364\pi\)
\(314\) 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 −0.819161 0.573563i \(-0.805561\pi\)
0.489179 0.872183i \(-0.337296\pi\)
\(318\) 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 −0.366898 0.930261i \(-0.619580\pi\)
0.955078 + 0.296353i \(0.0957706\pi\)
\(332\) −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 −0.967109 0.254363i \(-0.918134\pi\)
0.703839 + 0.710359i \(0.251467\pi\)
\(338\) −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 0.779059 0.626951i \(-0.215697\pi\)
0.863799 + 0.503836i \(0.168078\pi\)
\(348\) −1.47293e8 + 1.84699e8i −3.49497 + 4.38256i
\(349\) −6.35187e6 2.05923e7i −0.149426 0.484426i 0.849653 0.527342i \(-0.176811\pi\)
−0.999079 + 0.0429159i \(0.986335\pi\)
\(350\) −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 −0.785360 0.619040i \(-0.787522\pi\)
−0.568003 + 0.823026i \(0.692284\pi\)
\(354\) −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 0.820319 0.571906i \(-0.193796\pi\)
−0.990331 + 0.138722i \(0.955701\pi\)
\(360\) −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 0.199948 + 0.979806i \(0.435923\pi\)
−0.813010 + 0.582250i \(0.802173\pi\)
\(368\) 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 −0.242967 0.970035i \(-0.578121\pi\)
−0.384829 + 0.922988i \(0.625740\pi\)
\(374\) 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 0.577220 + 0.816589i \(0.304138\pi\)
−0.874362 + 0.485275i \(0.838719\pi\)
\(380\) −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 0.833700 0.552217i \(-0.186218\pi\)
−0.352856 + 0.935678i \(0.614790\pi\)
\(384\) 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 −0.863415 0.504495i \(-0.831679\pi\)
0.143900 0.989592i \(-0.454036\pi\)
\(390\) −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 −0.869536 0.493870i \(-0.835582\pi\)
0.427509 + 0.904011i \(0.359391\pi\)
\(398\) 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 −0.727854 0.685732i \(-0.759482\pi\)
0.821927 0.569592i \(-0.192899\pi\)
\(402\) 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 −0.960034 0.279883i \(-0.909704\pi\)
0.817393 + 0.576080i \(0.195418\pi\)
\(410\) 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 −0.739622 0.673022i \(-0.764996\pi\)
0.491567 + 0.870840i \(0.336424\pi\)
\(420\) −1.47911e7 1.59410e7i −0.199642 0.215163i
\(421\) −1.29599e7 8.59830e7i −0.173682 1.15230i −0.890480 0.455022i \(-0.849631\pi\)
0.716799 0.697280i \(-0.245607\pi\)
\(422\) −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 0.211065 0.977472i \(-0.432307\pi\)
0.354393 + 0.935097i \(0.384688\pi\)
\(434\) −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 −0.0203902 0.999792i \(-0.506491\pi\)
0.275210 + 0.961384i \(0.411253\pi\)
\(440\) 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 −0.922485 0.386033i \(-0.873845\pi\)
−0.453891 0.891057i \(-0.649964\pi\)
\(444\) 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 0.727451 + 0.686160i \(0.240705\pi\)
−0.897381 + 0.441256i \(0.854533\pi\)
\(450\) 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 −0.420364 0.907355i \(-0.638098\pi\)
0.0149517 + 0.999888i \(0.495241\pi\)
\(458\) −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 0.681037 0.732249i \(-0.261529\pi\)
−0.432820 + 0.901480i \(0.642482\pi\)
\(462\) −1.12214e8 + 8.94873e7i −1.13794 + 0.907477i
\(463\) −8.11598e7 8.74694e7i −0.817707 0.881279i 0.176981 0.984214i \(-0.443367\pi\)
−0.994688 + 0.102936i \(0.967176\pi\)
\(464\) 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 −0.757464 0.652877i \(-0.773562\pi\)
0.186676 + 0.982422i \(0.440229\pi\)
\(468\) 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 0.736364 0.676586i \(-0.236541\pi\)
−0.954122 + 0.299417i \(0.903208\pi\)
\(480\) 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 −0.995910 0.0903492i \(-0.971202\pi\)
0.998253 + 0.0590926i \(0.0188207\pi\)
\(488\) −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 0.684462 0.729049i \(-0.260037\pi\)
−0.928714 + 0.370796i \(0.879085\pi\)
\(492\) −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 0.797661 + 0.603106i \(0.206071\pi\)
−0.998800 + 0.0489716i \(0.984406\pi\)
\(500\) −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 −0.406840 0.913499i \(-0.633369\pi\)
0.941348 + 0.337437i \(0.109560\pi\)
\(504\) 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 −0.799837 0.600217i \(-0.795081\pi\)
0.919722 + 0.392571i \(0.128414\pi\)
\(510\) −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 0.807282 + 0.590166i \(0.200938\pi\)
−0.334556 + 0.942376i \(0.608586\pi\)
\(522\) −4.19653e8 7.26861e8i −2.95039 5.11022i
\(523\) 8.82599e7 + 5.09569e7i 0.616962 + 0.356203i 0.775685 0.631120i \(-0.217404\pi\)
−0.158723 + 0.987323i \(0.550738\pi\)
\(524\) −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 −0.0140586 0.999901i \(-0.504475\pi\)
0.925646 + 0.378392i \(0.123523\pi\)
\(542\) 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 0.999695 + 0.0246810i \(0.00785701\pi\)
0.388205 + 0.921573i \(0.373095\pi\)
\(548\) 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 −0.421316 0.906914i \(-0.638432\pi\)
0.446367 + 0.894850i \(0.352718\pi\)
\(558\) 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 −0.590416 0.807099i \(-0.701036\pi\)
0.918244 + 0.396016i \(0.129608\pi\)
\(564\) 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 −0.972606 0.232460i \(-0.925323\pi\)
0.159127 + 0.987258i \(0.449132\pi\)
\(570\) −1.09945e8 1.37866e8i −0.593675 0.744445i
\(571\) 7.93865e7 1.16439e8i 0.426421 0.625444i −0.551561 0.834135i \(-0.685968\pi\)
0.977982 + 0.208690i \(0.0669200\pi\)
\(572\) 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 0.664599 0.747201i \(-0.268603\pi\)
−0.938355 + 0.345674i \(0.887650\pi\)
\(578\) −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 −0.550298 0.834968i \(-0.685486\pi\)
0.164525 + 0.986373i \(0.447391\pi\)
\(588\) −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 −0.586449 0.809986i \(-0.699475\pi\)
0.321648 0.946859i \(-0.395763\pi\)
\(594\) 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 0.999851 0.0172462i \(-0.00548992\pi\)
−0.991254 + 0.131966i \(0.957871\pi\)
\(600\) 5.13516e8 2.47296e8i 2.37739 1.14489i
\(601\) 2.36978e8i 1.09165i −0.837899 0.545826i \(-0.816216\pi\)
0.837899 0.545826i \(-0.183784\pi\)
\(602\) −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 −0.785459 0.618914i \(-0.787573\pi\)
0.300330 0.953835i \(-0.402903\pi\)
\(608\) 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 0.948793 + 0.315898i \(0.102306\pi\)
0.0968518 + 0.995299i \(0.469123\pi\)
\(614\) 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 0.970348 + 0.241713i \(0.0777093\pi\)
−0.546909 + 0.837192i \(0.684195\pi\)
\(618\) 2.17540e8 + 9.53107e8i 0.921668 + 4.03809i
\(619\) −1.96375e8 6.05737e7i −0.827970 0.255395i −0.148327 0.988938i \(-0.547389\pi\)
−0.679643 + 0.733543i \(0.737865\pi\)
\(620\) 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 0.859992 0.510308i \(-0.170469\pi\)
0.774329 + 0.632783i \(0.218088\pi\)
\(632\) 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 0.788772 0.614686i \(-0.210717\pi\)
−0.423756 + 0.905776i \(0.639289\pi\)
\(642\) 4.48179e7 + 5.98054e8i 0.169374 + 2.26014i
\(643\) 976911. 470456.i 0.00367470 0.00176964i −0.432045 0.901852i \(-0.642208\pi\)
0.435720 + 0.900082i \(0.356494\pi\)
\(644\) 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 0.864663 0.502353i \(-0.167532\pi\)
−0.931864 + 0.362808i \(0.881818\pi\)
\(648\) −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 0.804648 0.593752i \(-0.202354\pi\)
0.467344 + 0.884076i \(0.345211\pi\)
\(654\) −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 −0.988492 0.151274i \(-0.951662\pi\)
0.999997 0.00225777i \(-0.000718670\pi\)
\(660\) 9.77727e7 + 2.49121e8i 0.340084 + 0.866519i
\(661\) 9.85140e7 + 4.31618e8i 0.341109 + 1.49450i 0.796737 + 0.604327i \(0.206558\pi\)
−0.455627 + 0.890171i \(0.650585\pi\)
\(662\) 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 −0.168681 0.985671i \(-0.553951\pi\)
0.546774 + 0.837280i \(0.315856\pi\)
\(674\) −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 0.0478676 0.998854i \(-0.484757\pi\)
0.984462 + 0.175598i \(0.0561860\pi\)
\(678\) 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 −0.581758 0.813362i \(-0.697635\pi\)
−0.0224881 + 0.999747i \(0.507159\pi\)
\(684\) 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 −0.509810 0.860287i \(-0.670284\pi\)
−0.375896 + 0.926662i \(0.622665\pi\)
\(692\) −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 0.380695 0.924701i \(-0.375685\pi\)
−0.893665 + 0.448734i \(0.851875\pi\)
\(702\) −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 0.142314 0.989822i \(-0.454546\pi\)
−0.685142 + 0.728409i \(0.740260\pi\)
\(710\) −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 0.382194 0.924082i \(-0.375169\pi\)
−0.720573 + 0.693379i \(0.756121\pi\)
\(720\) 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 0.803156 0.595769i \(-0.203153\pi\)
−0.402113 + 0.915590i \(0.631724\pi\)
\(728\) −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 −0.976624 0.214953i \(-0.931040\pi\)
0.440858 0.897577i \(-0.354674\pi\)
\(734\) −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 −0.180220 0.983626i \(-0.557681\pi\)
−0.589152 + 0.808022i \(0.700538\pi\)
\(740\) −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 −0.998531 0.0541844i \(-0.982744\pi\)
0.415243 + 0.909710i \(0.363696\pi\)
\(744\) −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 0.230458 0.973082i \(-0.425978\pi\)
−0.492927 + 0.870071i \(0.664073\pi\)
\(752\) 1.81815e8 + 8.75574e7i 0.427539 + 0.205892i