Properties

Label 43.7.h.a.12.3
Level $43$
Weight $7$
Character 43.12
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 12.3
Character \(\chi\) \(=\) 43.12
Dual form 43.7.h.a.18.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-6.07636 - 12.6177i) q^{2} +(28.9804 + 42.5064i) q^{3} +(-82.3806 + 103.302i) q^{4} +(88.1711 - 95.0259i) q^{5} +(360.237 - 623.949i) q^{6} +(-445.910 + 257.446i) q^{7} +(930.184 + 212.309i) q^{8} +(-700.598 + 1785.09i) q^{9} +O(q^{10})\) \(q+(-6.07636 - 12.6177i) q^{2} +(28.9804 + 42.5064i) q^{3} +(-82.3806 + 103.302i) q^{4} +(88.1711 - 95.0259i) q^{5} +(360.237 - 623.949i) q^{6} +(-445.910 + 257.446i) q^{7} +(930.184 + 212.309i) q^{8} +(-700.598 + 1785.09i) q^{9} +(-1734.77 - 535.104i) q^{10} +(-442.766 - 555.211i) q^{11} +(-6778.41 - 507.972i) q^{12} +(-2677.75 + 825.978i) q^{13} +(5957.88 + 4062.02i) q^{14} +(6594.44 + 993.952i) q^{15} +(-1091.61 - 4782.65i) q^{16} +(-1322.65 + 1227.24i) q^{17} +(26780.8 - 2006.95i) q^{18} +(-1750.74 + 687.114i) q^{19} +(2552.77 + 16936.5i) q^{20} +(-23865.7 - 11493.1i) q^{21} +(-4315.07 + 8960.34i) q^{22} +(15963.4 - 2406.10i) q^{23} +(17932.6 + 45691.6i) q^{24} +(-88.1112 - 1175.76i) q^{25} +(26692.9 + 28768.1i) q^{26} +(-59617.9 + 13607.4i) q^{27} +(10139.6 - 67271.9i) q^{28} +(-8812.34 + 12925.3i) q^{29} +(-27528.8 - 89246.2i) q^{30} +(-1652.05 + 22045.1i) q^{31} +(-5972.19 + 4762.66i) q^{32} +(10768.5 - 34910.6i) q^{33} +(23521.9 + 9231.67i) q^{34} +(-14852.3 + 65072.3i) q^{35} +(-126688. - 219430. i) q^{36} +(25271.7 + 14590.6i) q^{37} +(19307.9 + 17915.1i) q^{38} +(-112712. - 89884.6i) q^{39} +(102190. - 69672.1i) q^{40} +(-19275.5 + 9282.60i) q^{41} +370967. i q^{42} +(2035.33 + 79480.9i) q^{43} +93829.6 q^{44} +(107858. + 223969. i) q^{45} +(-127359. - 186801. i) q^{46} +(90257.9 - 113180. i) q^{47} +(171658. - 185003. i) q^{48} +(73732.6 - 127709. i) q^{49} +(-14300.0 + 8256.11i) q^{50} +(-90496.8 - 20655.3i) q^{51} +(135270. - 344662. i) q^{52} +(-117667. - 36295.4i) q^{53} +(533954. + 669557. i) q^{54} +(-91798.5 - 6879.35i) q^{55} +(-469436. + 144802. i) q^{56} +(-79943.7 - 54504.7i) q^{57} +(216635. + 32652.4i) q^{58} +(-25463.8 - 111564. i) q^{59} +(-645931. + 599336. i) q^{60} +(123278. - 9238.42i) q^{61} +(288197. - 113109. i) q^{62} +(-147162. - 976358. i) q^{63} +(-186486. - 89807.2i) q^{64} +(-157611. + 327283. i) q^{65} +(-505924. + 76255.8i) q^{66} +(-19257.8 - 49068.0i) q^{67} +(-17815.7 - 237734. i) q^{68} +(564901. + 608818. i) q^{69} +(911310. - 208000. i) q^{70} +(64115.7 - 425380. i) q^{71} +(-1.03068e6 + 1.51172e6i) q^{72} +(30832.3 + 99955.7i) q^{73} +(30540.0 - 407528. i) q^{74} +(47423.9 - 37819.3i) q^{75} +(73246.5 - 237459. i) q^{76} +(340370. + 133586. i) q^{77} +(-449259. + 1.96833e6i) q^{78} +(288362. + 499458. i) q^{79} +(-550724. - 317961. i) q^{80} +(-1.28137e6 - 1.18893e6i) q^{81} +(234250. + 186808. i) q^{82} +(-209542. + 142863. i) q^{83} +(3.15334e6 - 1.51857e6i) q^{84} +233894. i q^{85} +(990498. - 508636. i) q^{86} -804794. q^{87} +(-293978. - 610451. i) q^{88} +(395478. + 580060. i) q^{89} +(2.17059e6 - 2.72183e6i) q^{90} +(981392. - 1.05769e6i) q^{91} +(-1.06652e6 + 1.84727e6i) q^{92} +(-984935. + 568653. i) q^{93} +(-1.97651e6 - 451125. i) q^{94} +(-89070.9 + 226949. i) q^{95} +(-375520. - 115832. i) q^{96} +(898154. + 1.12625e6i) q^{97} +(-2.05941e6 - 154332. i) q^{98} +(1.30130e6 - 401399. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 252 q - 14 q^{2} - 11 q^{3} + 1180 q^{4} - 11 q^{5} - 118 q^{6} + 126 q^{7} - 2254 q^{8} - 8178 q^{9} + O(q^{10}) \) \( 252 q - 14 q^{2} - 11 q^{3} + 1180 q^{4} - 11 q^{5} - 118 q^{6} + 126 q^{7} - 2254 q^{8} - 8178 q^{9} + 967 q^{10} + 4090 q^{11} - 484 q^{12} + 1527 q^{13} + 7812 q^{14} - 8923 q^{15} - 13760 q^{16} - 3655 q^{17} + 5596 q^{18} + 38605 q^{19} + 26085 q^{20} + 24873 q^{21} - 25214 q^{22} + 27991 q^{23} - 20480 q^{24} - 24146 q^{25} - 34923 q^{26} - 14 q^{27} - 77634 q^{28} - 112735 q^{29} + 375072 q^{30} + 290647 q^{31} - 344064 q^{32} - 152174 q^{33} - 198311 q^{34} - 182471 q^{35} - 930891 q^{36} + 282762 q^{37} + 487342 q^{38} + 857290 q^{39} + 745459 q^{40} + 27674 q^{41} + 148802 q^{43} - 1255832 q^{44} - 191310 q^{45} - 1344785 q^{46} + 69166 q^{47} - 871241 q^{48} + 1786604 q^{49} + 837705 q^{50} - 182756 q^{51} + 2906416 q^{52} + 7779 q^{53} + 487154 q^{54} - 529592 q^{55} - 2464007 q^{56} - 767855 q^{57} - 1523780 q^{58} + 1531338 q^{59} - 1858647 q^{60} + 646957 q^{61} - 448559 q^{62} - 2007847 q^{63} + 3937366 q^{64} - 1473542 q^{65} + 1513319 q^{66} - 575523 q^{67} + 2717157 q^{68} + 967041 q^{69} + 4624473 q^{70} - 2149319 q^{71} - 9986371 q^{72} - 514565 q^{73} - 882972 q^{74} - 6655138 q^{75} + 1152658 q^{76} - 341803 q^{77} + 6322388 q^{78} - 2476742 q^{79} + 10750038 q^{80} + 4308941 q^{81} + 5079172 q^{82} + 2318609 q^{83} + 5578407 q^{84} + 585292 q^{86} - 1990710 q^{87} - 2864890 q^{88} - 4561993 q^{89} - 17681545 q^{90} - 4648506 q^{91} - 1991714 q^{92} - 8868294 q^{93} - 10200218 q^{94} + 10091737 q^{95} + 6250318 q^{96} - 1676750 q^{97} + 7512700 q^{98} + 18452884 q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{13}{42}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −6.07636 12.6177i −0.759545 1.57721i −0.815486 0.578777i \(-0.803530\pi\)
0.0559413 0.998434i \(-0.482184\pi\)
\(3\) 28.9804 + 42.5064i 1.07335 + 1.57431i 0.787785 + 0.615951i \(0.211228\pi\)
0.285562 + 0.958360i \(0.407820\pi\)
\(4\) −82.3806 + 103.302i −1.28720 + 1.61409i
\(5\) 88.1711 95.0259i 0.705369 0.760207i −0.274122 0.961695i \(-0.588387\pi\)
0.979491 + 0.201488i \(0.0645777\pi\)
\(6\) 360.237 623.949i 1.66777 2.88865i
\(7\) −445.910 + 257.446i −1.30003 + 0.750572i −0.980409 0.196974i \(-0.936889\pi\)
−0.319620 + 0.947546i \(0.603555\pi\)
\(8\) 930.184 + 212.309i 1.81677 + 0.414665i
\(9\) −700.598 + 1785.09i −0.961040 + 2.44869i
\(10\) −1734.77 535.104i −1.73477 0.535104i
\(11\) −442.766 555.211i −0.332656 0.417138i 0.587170 0.809464i \(-0.300242\pi\)
−0.919826 + 0.392326i \(0.871671\pi\)
\(12\) −6778.41 507.972i −3.92269 0.293965i
\(13\) −2677.75 + 825.978i −1.21882 + 0.375957i −0.836446 0.548049i \(-0.815371\pi\)
−0.382377 + 0.924006i \(0.624894\pi\)
\(14\) 5957.88 + 4062.02i 2.17124 + 1.48033i
\(15\) 6594.44 + 993.952i 1.95391 + 0.294504i
\(16\) −1091.61 4782.65i −0.266506 1.16764i
\(17\) −1322.65 + 1227.24i −0.269215 + 0.249795i −0.803215 0.595689i \(-0.796879\pi\)
0.533999 + 0.845485i \(0.320688\pi\)
\(18\) 26780.8 2006.95i 4.59205 0.344127i
\(19\) −1750.74 + 687.114i −0.255247 + 0.100177i −0.489514 0.871995i \(-0.662826\pi\)
0.234268 + 0.972172i \(0.424731\pi\)
\(20\) 2552.77 + 16936.5i 0.319096 + 2.11707i
\(21\) −23865.7 11493.1i −2.57702 1.24103i
\(22\) −4315.07 + 8960.34i −0.405247 + 0.841504i
\(23\) 15963.4 2406.10i 1.31203 0.197756i 0.544493 0.838765i \(-0.316722\pi\)
0.767533 + 0.641009i \(0.221484\pi\)
\(24\) 17932.6 + 45691.6i 1.29721 + 3.30523i
\(25\) −88.1112 1175.76i −0.00563912 0.0752488i
\(26\) 26692.9 + 28768.1i 1.51871 + 1.63679i
\(27\) −59617.9 + 13607.4i −3.02891 + 0.691328i
\(28\) 10139.6 67271.9i 0.461899 3.06450i
\(29\) −8812.34 + 12925.3i −0.361325 + 0.529966i −0.963257 0.268581i \(-0.913445\pi\)
0.601933 + 0.798547i \(0.294398\pi\)
\(30\) −27528.8 89246.2i −1.01958 3.30541i
\(31\) −1652.05 + 22045.1i −0.0554548 + 0.739992i 0.898295 + 0.439392i \(0.144806\pi\)
−0.953750 + 0.300600i \(0.902813\pi\)
\(32\) −5972.19 + 4762.66i −0.182257 + 0.145345i
\(33\) 10768.5 34910.6i 0.299649 0.971438i
\(34\) 23521.9 + 9231.67i 0.598461 + 0.234879i
\(35\) −14852.3 + 65072.3i −0.346410 + 1.51772i
\(36\) −126688. 219430.i −2.71537 4.70315i
\(37\) 25271.7 + 14590.6i 0.498917 + 0.288050i 0.728266 0.685294i \(-0.240326\pi\)
−0.229349 + 0.973344i \(0.573660\pi\)
\(38\) 19307.9 + 17915.1i 0.351871 + 0.326489i
\(39\) −112712. 89884.6i −1.90009 1.51527i
\(40\) 102190. 69672.1i 1.59672 1.08863i
\(41\) −19275.5 + 9282.60i −0.279676 + 0.134685i −0.568464 0.822708i \(-0.692462\pi\)
0.288788 + 0.957393i \(0.406748\pi\)
\(42\) 370967.i 5.00711i
\(43\) 2035.33 + 79480.9i 0.0255994 + 0.999672i
\(44\) 93829.6 1.10149
\(45\) 107858. + 223969.i 1.18362 + 2.45782i
\(46\) −127359. 186801.i −1.30845 1.91914i
\(47\) 90257.9 113180.i 0.869344 1.09012i −0.125835 0.992051i \(-0.540161\pi\)
0.995179 0.0980722i \(-0.0312676\pi\)
\(48\) 171658. 185003.i 1.55217 1.67285i
\(49\) 73732.6 127709.i 0.626716 1.08550i
\(50\) −14300.0 + 8256.11i −0.114400 + 0.0660489i
\(51\) −90496.8 20655.3i −0.682217 0.155712i
\(52\) 135270. 344662.i 0.962035 2.45122i
\(53\) −117667. 36295.4i −0.790362 0.243794i −0.126812 0.991927i \(-0.540475\pi\)
−0.663549 + 0.748132i \(0.730951\pi\)
\(54\) 533954. + 669557.i 3.39096 + 4.25213i
\(55\) −91798.5 6879.35i −0.551757 0.0413484i
\(56\) −469436. + 144802.i −2.67308 + 0.824537i
\(57\) −79943.7 54504.7i −0.431678 0.294313i
\(58\) 216635. + 32652.4i 1.11031 + 0.167352i
\(59\) −25463.8 111564.i −0.123985 0.543212i −0.998323 0.0578949i \(-0.981561\pi\)
0.874338 0.485317i \(-0.161296\pi\)
\(60\) −645931. + 599336.i −2.99042 + 2.77470i
\(61\) 123278. 9238.42i 0.543121 0.0407013i 0.199655 0.979866i \(-0.436018\pi\)
0.343466 + 0.939165i \(0.388399\pi\)
\(62\) 288197. 113109.i 1.20924 0.474593i
\(63\) −147162. 976358.i −0.588538 3.90470i
\(64\) −186486. 89807.2i −0.711389 0.342587i
\(65\) −157611. + 327283.i −0.573915 + 1.19175i
\(66\) −505924. + 76255.8i −1.75976 + 0.265241i
\(67\) −19257.8 49068.0i −0.0640297 0.163145i 0.895278 0.445508i \(-0.146977\pi\)
−0.959308 + 0.282363i \(0.908882\pi\)
\(68\) −17815.7 237734.i −0.0566599 0.756074i
\(69\) 564901. + 608818.i 1.71959 + 1.85328i
\(70\) 911310. 208000.i 2.65688 0.606415i
\(71\) 64115.7 425380.i 0.179139 1.18851i −0.700778 0.713380i \(-0.747164\pi\)
0.879917 0.475128i \(-0.157598\pi\)
\(72\) −1.03068e6 + 1.51172e6i −2.76137 + 4.05019i
\(73\) 30832.3 + 99955.7i 0.0792569 + 0.256944i 0.986526 0.163607i \(-0.0523129\pi\)
−0.907269 + 0.420551i \(0.861837\pi\)
\(74\) 30540.0 407528.i 0.0753657 1.00568i
\(75\) 47423.9 37819.3i 0.112412 0.0896458i
\(76\) 73246.5 237459.i 0.166858 0.540939i
\(77\) 340370. + 133586.i 0.745555 + 0.292609i
\(78\) −449259. + 1.96833e6i −0.946701 + 4.14777i
\(79\) 288362. + 499458.i 0.584867 + 1.01302i 0.994892 + 0.100945i \(0.0321866\pi\)
−0.410025 + 0.912074i \(0.634480\pi\)
\(80\) −550724. 317961.i −1.07563 0.621017i
\(81\) −1.28137e6 1.18893e6i −2.41112 2.23719i
\(82\) 234250. + 186808.i 0.424852 + 0.338808i
\(83\) −209542. + 142863.i −0.366468 + 0.249854i −0.732527 0.680738i \(-0.761659\pi\)
0.366059 + 0.930592i \(0.380707\pi\)
\(84\) 3.15334e6 1.51857e6i 5.32025 2.56210i
\(85\) 233894.i 0.380857i
\(86\) 990498. 508636.i 1.55725 0.799671i
\(87\) −804794. −1.22216
\(88\) −293978. 610451.i −0.431386 0.895783i
\(89\) 395478. + 580060.i 0.560987 + 0.822816i 0.997022 0.0771130i \(-0.0245702\pi\)
−0.436036 + 0.899929i \(0.643618\pi\)
\(90\) 2.17059e6 2.72183e6i 2.97748 3.73365i
\(91\) 981392. 1.05769e6i 1.30232 1.40357i
\(92\) −1.06652e6 + 1.84727e6i −1.36964 + 2.37228i
\(93\) −984935. + 568653.i −1.22450 + 0.706966i
\(94\) −1.97651e6 451125.i −2.37966 0.543142i
\(95\) −89070.9 + 226949.i −0.103888 + 0.264702i
\(96\) −375520. 115832.i −0.424443 0.130923i
\(97\) 898154. + 1.12625e6i 0.984092 + 1.23401i 0.972217 + 0.234083i \(0.0752088\pi\)
0.0118755 + 0.999929i \(0.496220\pi\)
\(98\) −2.05941e6 154332.i −2.18809 0.163975i
\(99\) 1.30130e6 401399.i 1.34114 0.413686i
\(100\) 128717. + 87757.9i 0.128717 + 0.0877579i
\(101\) −872557. 131517.i −0.846895 0.127649i −0.288763 0.957401i \(-0.593244\pi\)
−0.558133 + 0.829752i \(0.688482\pi\)
\(102\) 289269. + 1.26737e6i 0.272584 + 1.19427i
\(103\) −100349. + 93110.1i −0.0918334 + 0.0852089i −0.724754 0.689008i \(-0.758047\pi\)
0.632920 + 0.774217i \(0.281856\pi\)
\(104\) −2.66617e6 + 199802.i −2.37021 + 0.177623i
\(105\) −3.19641e6 + 1.25450e6i −2.76118 + 1.08368i
\(106\) 257021. + 1.70522e6i 0.215800 + 1.43174i
\(107\) −937814. 451627.i −0.765536 0.368663i 0.0100134 0.999950i \(-0.496813\pi\)
−0.775549 + 0.631287i \(0.782527\pi\)
\(108\) 3.50569e6 7.27963e6i 2.78293 5.77881i
\(109\) 1.18650e6 178836.i 0.916195 0.138094i 0.326014 0.945365i \(-0.394294\pi\)
0.590181 + 0.807271i \(0.299056\pi\)
\(110\) 470999. + 1.20009e6i 0.353869 + 0.901642i
\(111\) 112188. + 1.49705e6i 0.0820311 + 1.09463i
\(112\) 1.71803e6 + 1.85160e6i 1.22286 + 1.31793i
\(113\) 179900. 41061.0i 0.124680 0.0284573i −0.159726 0.987161i \(-0.551061\pi\)
0.284405 + 0.958704i \(0.408204\pi\)
\(114\) −201957. + 1.33989e6i −0.136315 + 0.904391i
\(115\) 1.17887e6 1.72909e6i 0.775127 1.13690i
\(116\) −609246. 1.97513e6i −0.390318 1.26538i
\(117\) 401581. 5.35872e6i 0.250735 3.34583i
\(118\) −1.25296e6 + 999200.i −0.762588 + 0.608144i
\(119\) 273835. 887753.i 0.162498 0.526807i
\(120\) 5.92302e6 + 2.32461e6i 3.42767 + 1.34526i
\(121\) 281992. 1.23549e6i 0.159177 0.697401i
\(122\) −865649. 1.49935e6i −0.476719 0.825702i
\(123\) −953182. 550320.i −0.512224 0.295733i
\(124\) −2.14121e6 1.98675e6i −1.12304 1.04202i
\(125\) 1.46408e6 + 1.16757e6i 0.749611 + 0.597795i
\(126\) −1.14252e7 + 7.78954e6i −5.71151 + 3.89404i
\(127\) 2.31137e6 1.11310e6i 1.12839 0.543403i 0.225914 0.974147i \(-0.427463\pi\)
0.902474 + 0.430744i \(0.141749\pi\)
\(128\) 3.38761e6i 1.61534i
\(129\) −3.31946e6 + 2.38990e6i −1.54632 + 1.11330i
\(130\) 5.08726e6 2.31555
\(131\) 935115. + 1.94179e6i 0.415960 + 0.863749i 0.998694 + 0.0510865i \(0.0162684\pi\)
−0.582735 + 0.812662i \(0.698017\pi\)
\(132\) 2.71922e6 + 3.98836e6i 1.18228 + 1.73409i
\(133\) 603776. 757111.i 0.256638 0.321814i
\(134\) −502107. + 541143.i −0.208681 + 0.224904i
\(135\) −3.96352e6 + 6.86503e6i −1.61094 + 2.79024i
\(136\) −1.49087e6 + 860753.i −0.592683 + 0.342186i
\(137\) 511659. + 116783.i 0.198984 + 0.0454169i 0.320851 0.947130i \(-0.396031\pi\)
−0.121867 + 0.992546i \(0.538888\pi\)
\(138\) 4.24934e6 1.08271e7i 1.61690 4.11980i
\(139\) −4.83476e6 1.49133e6i −1.80024 0.555301i −0.801173 0.598433i \(-0.795790\pi\)
−0.999069 + 0.0431323i \(0.986266\pi\)
\(140\) −5.49855e6 6.89496e6i −2.00384 2.51274i
\(141\) 7.42658e6 + 556545.i 2.64930 + 0.198538i
\(142\) −5.75690e6 + 1.77577e6i −2.01059 + 0.620185i
\(143\) 1.64421e6 + 1.12100e6i 0.562275 + 0.383353i
\(144\) 9.30226e6 + 1.40209e6i 3.11531 + 0.469557i
\(145\) 451247. + 1.97704e6i 0.148017 + 0.648503i
\(146\) 1.07386e6 996399.i 0.345056 0.320166i
\(147\) 7.56523e6 566935.i 2.38161 0.178477i
\(148\) −3.58913e6 + 1.40863e6i −1.10714 + 0.434522i
\(149\) 725753. + 4.81506e6i 0.219397 + 1.45560i 0.779095 + 0.626905i \(0.215679\pi\)
−0.559699 + 0.828696i \(0.689083\pi\)
\(150\) −765357. 368576.i −0.226772 0.109208i
\(151\) −1.77751e6 + 3.69103e6i −0.516274 + 1.07205i 0.466031 + 0.884768i \(0.345683\pi\)
−0.982305 + 0.187286i \(0.940031\pi\)
\(152\) −1.77439e6 + 267446.i −0.505263 + 0.0761562i
\(153\) −1.26410e6 3.22087e6i −0.352945 0.899288i
\(154\) −382672. 5.10640e6i −0.104777 1.39815i
\(155\) 1.94919e6 + 2.10073e6i 0.523431 + 0.564125i
\(156\) 1.85705e7 4.23859e6i 4.89159 1.11647i
\(157\) −719088. + 4.77084e6i −0.185816 + 1.23281i 0.680288 + 0.732945i \(0.261855\pi\)
−0.866104 + 0.499864i \(0.833383\pi\)
\(158\) 4.54981e6 6.67335e6i 1.15351 1.69189i
\(159\) −1.86724e6 6.05344e6i −0.464524 1.50595i
\(160\) −73998.5 + 987441.i −0.0180660 + 0.241074i
\(161\) −6.49881e6 + 5.18263e6i −1.55724 + 1.24186i
\(162\) −7.21556e6 + 2.33923e7i −1.69717 + 5.50209i
\(163\) −2.36530e6 928313.i −0.546165 0.214354i 0.0761840 0.997094i \(-0.475726\pi\)
−0.622349 + 0.782740i \(0.713822\pi\)
\(164\) 629017. 2.75590e6i 0.142604 0.624788i
\(165\) −2.36794e6 4.10139e6i −0.527131 0.913018i
\(166\) 3.07585e6 + 1.77584e6i 0.672421 + 0.388223i
\(167\) −5.40254e6 5.01283e6i −1.15998 1.07630i −0.995956 0.0898428i \(-0.971364\pi\)
−0.164020 0.986457i \(-0.552446\pi\)
\(168\) −1.97594e7 1.57576e7i −4.16722 3.32325i
\(169\) 2.50004e6 1.70450e6i 0.517948 0.353131i
\(170\) 2.95120e6 1.42122e6i 0.600692 0.289278i
\(171\) 3.60662e6i 0.721294i
\(172\) −8.37821e6 6.33743e6i −1.64652 1.24545i
\(173\) 4.87240e6 0.941032 0.470516 0.882391i \(-0.344068\pi\)
0.470516 + 0.882391i \(0.344068\pi\)
\(174\) 4.89022e6 + 1.01546e7i 0.928283 + 1.92760i
\(175\) 341985. + 501600.i 0.0638106 + 0.0935930i
\(176\) −2.17205e6 + 2.72367e6i −0.398412 + 0.499592i
\(177\) 4.00425e6 4.31555e6i 0.722106 0.778246i
\(178\) 4.91595e6 8.51467e6i 0.871660 1.50976i
\(179\) −2.02372e6 + 1.16839e6i −0.352850 + 0.203718i −0.665940 0.746005i \(-0.731969\pi\)
0.313090 + 0.949724i \(0.398636\pi\)
\(180\) −3.20218e7 7.30876e6i −5.49070 1.25322i
\(181\) −2.72759e6 + 6.94978e6i −0.459984 + 1.17202i 0.493277 + 0.869872i \(0.335799\pi\)
−0.953261 + 0.302148i \(0.902296\pi\)
\(182\) −1.93089e7 5.95600e6i −3.20290 0.987963i
\(183\) 3.96534e6 + 4.97238e6i 0.647034 + 0.811355i
\(184\) 1.53598e7 + 1.15106e6i 2.46565 + 0.184775i
\(185\) 3.61471e6 1.11499e6i 0.570898 0.176099i
\(186\) 1.31599e7 + 8.97227e6i 2.04510 + 1.39432i
\(187\) 1.26701e6 + 190970.i 0.193755 + 0.0292039i
\(188\) 4.25620e6 + 1.86476e7i 0.640544 + 2.80641i
\(189\) 2.30811e7 2.14161e7i 3.41877 3.17216i
\(190\) 3.40480e6 255154.i 0.496398 0.0371999i
\(191\) 339663. 133308.i 0.0487471 0.0191318i −0.340842 0.940121i \(-0.610712\pi\)
0.389589 + 0.920989i \(0.372617\pi\)
\(192\) −1.58707e6 1.05295e7i −0.224229 1.48766i
\(193\) 3.98902e6 + 1.92101e6i 0.554874 + 0.267213i 0.690238 0.723583i \(-0.257506\pi\)
−0.135364 + 0.990796i \(0.543220\pi\)
\(194\) 8.75316e6 1.81761e7i 1.19884 2.48941i
\(195\) −1.84793e7 + 2.78530e6i −2.49219 + 0.375637i
\(196\) 7.11841e6 + 1.81374e7i 0.945398 + 2.40884i
\(197\) −271846. 3.62753e6i −0.0355569 0.474474i −0.986352 0.164653i \(-0.947350\pi\)
0.950795 0.309822i \(-0.100269\pi\)
\(198\) −1.29719e7 1.39804e7i −1.67112 1.80104i
\(199\) −1.28570e7 + 2.93452e6i −1.63147 + 0.372372i −0.937597 0.347725i \(-0.886954\pi\)
−0.693873 + 0.720097i \(0.744097\pi\)
\(200\) 167665. 1.11238e6i 0.0209581 0.139048i
\(201\) 1.52761e6 2.24059e6i 0.188115 0.275914i
\(202\) 3.64253e6 + 1.18088e7i 0.441926 + 1.43269i
\(203\) 601933. 8.03224e6i 0.0719548 0.960171i
\(204\) 9.58890e6 7.64690e6i 1.12948 0.900730i
\(205\) −817457. + 2.65013e6i −0.0948863 + 0.307614i
\(206\) 1.78459e6 + 700400.i 0.204144 + 0.0801206i
\(207\) −6.88883e6 + 3.01819e7i −0.776666 + 3.40280i
\(208\) 6.87342e6 + 1.19051e7i 0.763806 + 1.32295i
\(209\) 1.15666e6 + 667797.i 0.126697 + 0.0731486i
\(210\) 3.52514e7 + 3.27086e7i 3.80644 + 3.53186i
\(211\) −674733. 538081.i −0.0718264 0.0572797i 0.586918 0.809646i \(-0.300341\pi\)
−0.658745 + 0.752366i \(0.728912\pi\)
\(212\) 1.34428e7 9.16516e6i 1.41086 0.961906i
\(213\) 1.99395e7 9.60234e6i 2.06336 0.993661i
\(214\) 1.45773e7i 1.48743i
\(215\) 7.73220e6 + 6.81451e6i 0.778015 + 0.685677i
\(216\) −5.83446e7 −5.78948
\(217\) −4.93876e6 1.02554e7i −0.483325 1.00363i
\(218\) −9.46609e6 1.38842e7i −0.913695 1.34014i
\(219\) −3.35523e6 + 4.20732e6i −0.319440 + 0.400565i
\(220\) 8.27306e6 8.91624e6i 0.776959 0.837363i
\(221\) 2.52807e6 4.37874e6i 0.234214 0.405670i
\(222\) 1.82076e7 1.05122e7i 1.66415 0.960800i
\(223\) 1.59538e7 + 3.64136e6i 1.43863 + 0.328359i 0.869519 0.493899i \(-0.164429\pi\)
0.569115 + 0.822258i \(0.307286\pi\)
\(224\) 1.43693e6 3.66123e6i 0.127847 0.325749i
\(225\) 2.16058e6 + 666450.i 0.189680 + 0.0585086i
\(226\) −1.61123e6 2.02042e6i −0.139583 0.175032i
\(227\) −2.67328e6 200335.i −0.228542 0.0171269i −0.0400334 0.999198i \(-0.512746\pi\)
−0.188509 + 0.982071i \(0.560365\pi\)
\(228\) 1.22162e7 3.76821e6i 1.03070 0.317930i
\(229\) 1.36697e6 + 931986.i 0.113829 + 0.0776073i 0.618897 0.785473i \(-0.287580\pi\)
−0.505067 + 0.863080i \(0.668532\pi\)
\(230\) −2.89803e7 4.36808e6i −2.38188 0.359011i
\(231\) 4.18582e6 + 1.83393e7i 0.339582 + 1.48781i
\(232\) −1.09413e7 + 1.01520e7i −0.876200 + 0.812995i
\(233\) −1.31724e6 + 98713.5i −0.104135 + 0.00780385i −0.126696 0.991942i \(-0.540437\pi\)
0.0225606 + 0.999745i \(0.492818\pi\)
\(234\) −7.00549e7 + 2.74945e7i −5.46752 + 2.14584i
\(235\) −2.79687e6 1.85560e7i −0.215511 1.42982i
\(236\) 1.36225e7 + 6.56027e6i 1.03639 + 0.499098i
\(237\) −1.28733e7 + 2.67317e7i −0.967042 + 2.00808i
\(238\) −1.28653e7 + 1.93913e6i −0.954310 + 0.143839i
\(239\) 5.13551e6 + 1.30851e7i 0.376175 + 0.958479i 0.986120 + 0.166035i \(0.0530964\pi\)
−0.609945 + 0.792444i \(0.708808\pi\)
\(240\) −2.44482e6 3.26239e7i −0.176854 2.35995i
\(241\) −1.49237e7 1.60839e7i −1.06617 1.14906i −0.988367 0.152086i \(-0.951401\pi\)
−0.0778000 0.996969i \(-0.524790\pi\)
\(242\) −1.73025e7 + 3.94918e6i −1.22085 + 0.278651i
\(243\) 6.75866e6 4.48408e7i 0.471023 3.12503i
\(244\) −9.20137e6 + 1.34959e7i −0.633407 + 0.929038i
\(245\) −5.63453e6 1.82667e7i −0.383142 1.24212i
\(246\) −1.15189e6 + 1.53709e7i −0.0773758 + 1.03251i
\(247\) 4.12050e6 3.28599e6i 0.273438 0.218060i
\(248\) −6.21708e6 + 2.01553e7i −0.407597 + 1.32140i
\(249\) −1.21452e7 4.76664e6i −0.786695 0.308755i
\(250\) 5.83571e6 2.55679e7i 0.373485 1.63635i
\(251\) 1.12888e7 + 1.95527e7i 0.713881 + 1.23648i 0.963389 + 0.268106i \(0.0863977\pi\)
−0.249508 + 0.968373i \(0.580269\pi\)
\(252\) 1.12983e8 + 6.52307e7i 7.06011 + 4.07615i
\(253\) −8.40395e6 7.79773e6i −0.518946 0.481511i
\(254\) −2.80894e7 2.24006e7i −1.71412 1.36697i
\(255\) −9.94199e6 + 6.77833e6i −0.599588 + 0.408792i
\(256\) 3.08086e7 1.48366e7i 1.83634 0.884333i
\(257\) 1.16683e7i 0.687397i −0.939080 0.343699i \(-0.888320\pi\)
0.939080 0.343699i \(-0.111680\pi\)
\(258\) 5.03253e7 + 2.73621e7i 2.93040 + 1.59327i
\(259\) −1.50252e7 −0.864809
\(260\) −2.08249e7 4.32433e7i −1.18485 2.46036i
\(261\) −1.68990e7 2.47863e7i −0.950474 1.39409i
\(262\) 1.88188e7 2.35980e7i 1.04637 1.31211i
\(263\) −1.78064e6 + 1.91908e6i −0.0978835 + 0.105493i −0.780093 0.625663i \(-0.784829\pi\)
0.682210 + 0.731156i \(0.261019\pi\)
\(264\) 1.74285e7 3.01870e7i 0.947214 1.64062i
\(265\) −1.38238e7 + 7.98117e6i −0.742831 + 0.428873i
\(266\) −1.32218e7 3.01778e6i −0.702496 0.160340i
\(267\) −1.31952e7 + 3.36207e7i −0.693235 + 1.76633i
\(268\) 6.65528e6 + 2.05288e6i 0.345750 + 0.106650i
\(269\) 1.94031e6 + 2.43307e6i 0.0996813 + 0.124996i 0.829170 0.558996i \(-0.188813\pi\)
−0.729489 + 0.683993i \(0.760242\pi\)
\(270\) 1.10705e8 + 8.29616e6i 5.62437 + 0.421489i
\(271\) −7.13930e6 + 2.20218e6i −0.358714 + 0.110649i −0.468873 0.883265i \(-0.655340\pi\)
0.110160 + 0.993914i \(0.464864\pi\)
\(272\) 7.31330e6 + 4.98613e6i 0.363418 + 0.247774i
\(273\) 7.33997e7 + 1.10632e7i 3.60750 + 0.543743i
\(274\) −1.63549e6 7.16557e6i −0.0795055 0.348337i
\(275\) −613783. + 569507.i −0.0295132 + 0.0273843i
\(276\) −1.09429e8 + 8.20056e6i −5.20481 + 0.390047i
\(277\) 7.83026e6 3.07315e6i 0.368415 0.144592i −0.173909 0.984762i \(-0.555640\pi\)
0.542324 + 0.840170i \(0.317545\pi\)
\(278\) 1.05607e7 + 7.00654e7i 0.491537 + 3.26114i
\(279\) −3.81952e7 1.83938e7i −1.75872 0.846954i
\(280\) −2.76308e7 + 5.73759e7i −1.25869 + 2.61370i
\(281\) −1.02017e6 + 153766.i −0.0459784 + 0.00693013i −0.171991 0.985098i \(-0.555020\pi\)
0.126013 + 0.992029i \(0.459782\pi\)
\(282\) −3.81042e7 9.70880e7i −1.69913 4.32930i
\(283\) −2.54149e6 3.39139e7i −0.112132 1.49630i −0.715375 0.698741i \(-0.753744\pi\)
0.603243 0.797558i \(-0.293875\pi\)
\(284\) 3.86607e7 + 4.16663e7i 1.68778 + 1.81899i
\(285\) −1.22281e7 + 2.79098e6i −0.528231 + 0.120565i
\(286\) 4.15366e6 2.75577e7i 0.177555 1.17800i
\(287\) 6.20537e6 9.10161e6i 0.262496 0.385011i
\(288\) −4.31770e6 1.39976e7i −0.180748 0.585972i
\(289\) −1.56052e6 + 2.08236e7i −0.0646509 + 0.862706i
\(290\) 2.22038e7 1.77069e7i 0.910400 0.726020i
\(291\) −2.18440e7 + 7.08164e7i −0.886447 + 2.87379i
\(292\) −1.28656e7 5.04938e6i −0.516751 0.202810i
\(293\) −3.94428e6 + 1.72810e7i −0.156807 + 0.687015i 0.834004 + 0.551759i \(0.186043\pi\)
−0.990811 + 0.135257i \(0.956814\pi\)
\(294\) −5.31224e7 9.20107e7i −2.09043 3.62073i
\(295\) −1.28467e7 7.41703e6i −0.500409 0.288911i
\(296\) 2.04096e7 + 1.89373e7i 0.786972 + 0.730203i
\(297\) 3.39518e7 + 2.70756e7i 1.29596 + 1.03350i
\(298\) 5.63449e7 3.84153e7i 2.12915 1.45163i
\(299\) −4.07588e7 + 1.96284e7i −1.52478 + 0.734296i
\(300\) 8.01456e6i 0.296835i
\(301\) −2.13696e7 3.49173e7i −0.783606 1.28039i
\(302\) 5.73731e7 2.08299
\(303\) −1.96967e7 4.09007e7i −0.708053 1.47029i
\(304\) 5.19734e6 + 7.62310e6i 0.184995 + 0.271338i
\(305\) 9.99168e6 1.25292e7i 0.352159 0.441594i
\(306\) −3.29588e7 + 3.55211e7i −1.15029 + 1.23972i
\(307\) −3.09798e6 + 5.36585e6i −0.107069 + 0.185449i −0.914582 0.404402i \(-0.867480\pi\)
0.807513 + 0.589850i \(0.200813\pi\)
\(308\) −4.18395e7 + 2.41561e7i −1.43197 + 0.826750i
\(309\) −6.86592e6 1.56710e6i −0.232714 0.0531156i
\(310\) 1.46624e7 3.73591e7i 0.492174 1.25404i
\(311\) 2.87549e7 + 8.86970e6i 0.955939 + 0.294868i 0.733202 0.680010i \(-0.238025\pi\)
0.222737 + 0.974879i \(0.428501\pi\)
\(312\) −8.57594e7 1.07539e8i −2.82370 3.54080i
\(313\) 3.80122e7 + 2.84862e6i 1.23962 + 0.0928969i 0.678353 0.734736i \(-0.262694\pi\)
0.561270 + 0.827633i \(0.310313\pi\)
\(314\) 6.45664e7 1.99161e7i 2.08554 0.643303i
\(315\) −1.05755e8 7.21023e7i −3.38351 2.30684i
\(316\) −7.53504e7 1.13572e7i −2.38795 0.359925i
\(317\) 1.12125e7 + 4.91252e7i 0.351986 + 1.54215i 0.772589 + 0.634906i \(0.218961\pi\)
−0.420603 + 0.907245i \(0.638182\pi\)
\(318\) −6.50344e7 + 6.03431e7i −2.02237 + 1.87649i
\(319\) 1.10781e7 830188.i 0.341266 0.0255743i
\(320\) −2.49767e7 + 9.80264e6i −0.762229 + 0.299153i
\(321\) −7.98114e6 5.29514e7i −0.241296 1.60089i
\(322\) 1.04882e8 + 5.05084e7i 3.14147 + 1.51285i
\(323\) 1.47236e6 3.05740e6i 0.0436926 0.0907286i
\(324\) 2.28379e8 3.44226e7i 6.71461 1.01207i
\(325\) 1.20709e6 + 3.07563e6i 0.0351634 + 0.0895949i
\(326\) 2.65926e6 + 3.54854e7i 0.0767554 + 1.02423i
\(327\) 4.19868e7 + 4.52511e7i 1.20080 + 1.29415i
\(328\) −1.99006e7 + 4.54217e6i −0.563954 + 0.128719i
\(329\) −1.11092e7 + 7.37046e7i −0.311957 + 2.06970i
\(330\) −3.73616e7 + 5.47994e7i −1.03964 + 1.52487i
\(331\) 7.51853e6 + 2.43745e7i 0.207324 + 0.672127i 0.998190 + 0.0601383i \(0.0191542\pi\)
−0.790866 + 0.611989i \(0.790370\pi\)
\(332\) 2.50412e6 3.34152e7i 0.0684292 0.913125i
\(333\) −4.37509e7 + 3.48902e7i −1.18482 + 0.944866i
\(334\) −3.04225e7 + 9.86273e7i −0.816499 + 2.64702i
\(335\) −6.36070e6 2.49639e6i −0.169188 0.0664016i
\(336\) −2.89156e7 + 1.26687e8i −0.762280 + 3.33976i
\(337\) −1.68090e7 2.91141e7i −0.439191 0.760701i 0.558437 0.829547i \(-0.311401\pi\)
−0.997627 + 0.0688466i \(0.978068\pi\)
\(338\) −3.66979e7 2.11875e7i −0.950366 0.548694i
\(339\) 6.95892e6 + 6.45693e6i 0.178625 + 0.165740i
\(340\) −2.41617e7 1.92683e7i −0.614739 0.490238i
\(341\) 1.29712e7 8.84358e6i 0.327126 0.223031i
\(342\) −4.55072e7 + 2.19151e7i −1.13763 + 0.547855i
\(343\) 1.53521e7i 0.380439i
\(344\) −1.49812e7 + 7.43640e7i −0.368021 + 1.82679i
\(345\) 1.07661e8 2.62182
\(346\) −2.96064e7 6.14784e7i −0.714756 1.48421i
\(347\) −2.67873e7 3.92897e7i −0.641121 0.940352i −0.999976 0.00695854i \(-0.997785\pi\)
0.358855 0.933393i \(-0.383167\pi\)
\(348\) 6.62994e7 8.31368e7i 1.57316 1.97268i
\(349\) 1.48501e7 1.60046e7i 0.349343 0.376502i −0.533796 0.845613i \(-0.679235\pi\)
0.883139 + 0.469111i \(0.155426\pi\)
\(350\) 4.25101e6 7.36296e6i 0.0991489 0.171731i
\(351\) 1.48403e8 8.56804e7i 3.43179 1.98135i
\(352\) 5.28856e6 + 1.20708e6i 0.121258 + 0.0276763i
\(353\) −1.26793e7 + 3.23064e7i −0.288252 + 0.734454i 0.711251 + 0.702938i \(0.248129\pi\)
−0.999503 + 0.0315164i \(0.989966\pi\)
\(354\) −7.87836e7 2.43015e7i −1.77593 0.547802i
\(355\) −3.47689e7 4.35989e7i −0.777153 0.974519i
\(356\) −9.25010e7 6.93200e6i −2.05020 0.153641i
\(357\) 4.56710e7 1.40876e7i 1.00377 0.309623i
\(358\) 2.70393e7 + 1.84351e7i 0.589312 + 0.401786i
\(359\) −1.20896e7 1.82222e6i −0.261294 0.0393837i 0.0170887 0.999854i \(-0.494560\pi\)
−0.278383 + 0.960470i \(0.589798\pi\)
\(360\) 5.27770e7 + 2.31231e8i 1.13119 + 4.95609i
\(361\) −3.18941e7 + 2.95934e7i −0.677936 + 0.629033i
\(362\) 1.04264e8 7.81350e6i 2.19790 0.164710i
\(363\) 6.06884e7 2.38184e7i 1.26878 0.497959i
\(364\) 2.84137e7 + 1.88513e8i 0.589148 + 3.90874i
\(365\) 1.22169e7 + 5.88335e6i 0.251236 + 0.120989i
\(366\) 3.86451e7 8.02473e7i 0.788226 1.63677i
\(367\) 7.52903e7 1.13482e7i 1.52314 0.229577i 0.666507 0.745499i \(-0.267789\pi\)
0.856636 + 0.515922i \(0.172550\pi\)
\(368\) −2.89334e7 7.37210e7i −0.580571 1.47927i
\(369\) −3.06593e6 4.09120e7i −0.0610216 0.814276i
\(370\) −3.60329e7 3.88343e7i −0.711368 0.766672i
\(371\) 6.18128e7 1.41084e7i 1.21048 0.276284i
\(372\) 2.23966e7 1.48592e8i 0.435064 2.88646i
\(373\) 3.33869e6 4.89696e6i 0.0643353 0.0943626i −0.792723 0.609582i \(-0.791337\pi\)
0.857058 + 0.515220i \(0.172290\pi\)
\(374\) −5.28917e6 1.71471e7i −0.101105 0.327775i
\(375\) −7.19941e6 + 9.60695e7i −0.136522 + 1.82176i
\(376\) 1.07986e8 8.61156e7i 2.03143 1.62001i
\(377\) 1.29213e7 4.18897e7i 0.241146 0.781777i
\(378\) −4.10470e8 1.61098e8i −7.59987 2.98273i
\(379\) 9.42369e6 4.12879e7i 0.173103 0.758412i −0.811607 0.584204i \(-0.801407\pi\)
0.984709 0.174207i \(-0.0557362\pi\)
\(380\) −1.61065e7 2.78974e7i −0.293529 0.508408i
\(381\) 1.14298e8 + 6.59901e7i 2.06664 + 1.19317i
\(382\) −3.74596e6 3.47574e6i −0.0672005 0.0623530i
\(383\) −5.07624e7 4.04816e7i −0.903536 0.720546i 0.0570963 0.998369i \(-0.481816\pi\)
−0.960632 + 0.277823i \(0.910387\pi\)
\(384\) −1.43995e8 + 9.81741e7i −2.54304 + 1.73382i
\(385\) 4.27049e7 2.05656e7i 0.748334 0.360379i
\(386\) 6.20050e7i 1.07811i
\(387\) −1.43307e8 5.20509e7i −2.47249 0.898040i
\(388\) −1.90334e8 −3.25853
\(389\) −3.13355e6 6.50688e6i −0.0532338 0.110541i 0.872655 0.488337i \(-0.162396\pi\)
−0.925889 + 0.377796i \(0.876682\pi\)
\(390\) 1.47431e8 + 2.16241e8i 2.48539 + 3.64539i
\(391\) −1.81612e7 + 2.27735e7i −0.303819 + 0.380977i
\(392\) 9.56985e7 1.03138e8i 1.58872 1.71223i
\(393\) −5.54384e7 + 9.60220e7i −0.913340 + 1.58195i
\(394\) −4.41192e7 + 2.54723e7i −0.721339 + 0.416465i
\(395\) 7.28866e7 + 1.66359e7i 1.18265 + 0.269932i
\(396\) −6.57368e7 + 1.67495e8i −1.05858 + 2.69722i
\(397\) 1.59376e7 + 4.91611e6i 0.254714 + 0.0785688i 0.419482 0.907763i \(-0.362212\pi\)
−0.164769 + 0.986332i \(0.552688\pi\)
\(398\) 1.15150e8 + 1.44394e8i 1.82648 + 2.29034i
\(399\) 4.96797e7 + 3.72298e6i 0.782097 + 0.0586100i
\(400\) −5.52708e6 + 1.70488e6i −0.0863606 + 0.0266387i
\(401\) −6.04243e7 4.11966e7i −0.937084 0.638893i −0.00455532 0.999990i \(-0.501450\pi\)
−0.932528 + 0.361097i \(0.882402\pi\)
\(402\) −3.75533e7 5.66025e6i −0.578056 0.0871279i
\(403\) −1.37850e7 6.03960e7i −0.210616 0.922769i
\(404\) 8.54677e7 7.93024e7i 1.29616 1.20266i
\(405\) −2.25959e8 + 1.69333e7i −3.40145 + 0.254904i
\(406\) −1.05006e8 + 4.12117e7i −1.56904 + 0.615805i
\(407\) −3.08857e6 2.04913e7i −0.0458114 0.303939i
\(408\) −7.97934e7 3.84265e7i −1.17486 0.565783i
\(409\) 1.61231e7 3.34800e7i 0.235656 0.489345i −0.749282 0.662251i \(-0.769601\pi\)
0.984938 + 0.172906i \(0.0553156\pi\)
\(410\) 3.84057e7 5.78872e6i 0.557242 0.0839907i
\(411\) 9.86405e6 + 2.51332e7i 0.142079 + 0.362011i
\(412\) −1.35166e6 1.80367e7i −0.0193276 0.257908i
\(413\) 4.00764e7 + 4.31921e7i 0.568904 + 0.613132i
\(414\) 4.22685e8 9.64752e7i 5.95684 1.35961i
\(415\) −4.89984e6 + 3.25083e7i −0.0685547 + 0.454831i
\(416\) 1.20582e7 1.76861e7i 0.167495 0.245670i
\(417\) −7.67223e7 2.48728e8i −1.05807 3.43017i
\(418\) 1.39778e6 1.86521e7i 0.0191386 0.255388i
\(419\) −2.31539e7 + 1.84647e7i −0.314762 + 0.251015i −0.768108 0.640320i \(-0.778802\pi\)
0.453346 + 0.891335i \(0.350230\pi\)
\(420\) 1.33730e8 4.33542e8i 1.80502 5.85172i
\(421\) 1.07340e8 + 4.21280e7i 1.43852 + 0.564579i 0.951182 0.308632i \(-0.0998712\pi\)
0.487342 + 0.873211i \(0.337966\pi\)
\(422\) −2.68942e6 + 1.17831e7i −0.0357867 + 0.156792i
\(423\) 1.38802e8 + 2.40413e8i 1.83390 + 3.17641i
\(424\) −1.01746e8 5.87430e7i −1.33481 0.770653i
\(425\) 1.55949e6 + 1.44699e6i 0.0203149 + 0.0188495i
\(426\) −2.42319e8 1.93243e8i −3.13443 2.49962i
\(427\) −5.25925e7 + 3.58570e7i −0.675524 + 0.460564i
\(428\) 1.23912e8 5.96727e7i 1.58045 0.761105i
\(429\) 1.02376e8i 1.29667i
\(430\) 3.89998e7 1.38970e8i 0.490520 1.74790i
\(431\) 9.43935e7 1.17899 0.589495 0.807772i \(-0.299327\pi\)
0.589495 + 0.807772i \(0.299327\pi\)
\(432\) 1.30159e8 + 2.70278e8i 1.61444 + 3.35243i
\(433\) −7.74209e7 1.13556e8i −0.953662 1.39877i −0.916756 0.399447i \(-0.869202\pi\)
−0.0369060 0.999319i \(-0.511750\pi\)
\(434\) −9.93903e7 + 1.24632e8i −1.21584 + 1.52461i
\(435\) −7.09596e7 + 7.64763e7i −0.862072 + 0.929092i
\(436\) −7.92703e7 + 1.37300e8i −0.956426 + 1.65658i
\(437\) −2.62945e7 + 1.51811e7i −0.315080 + 0.181911i
\(438\) 7.34742e7 + 1.67700e7i 0.874405 + 0.199577i
\(439\) −5.28316e7 + 1.34613e8i −0.624454 + 1.59108i 0.171137 + 0.985247i \(0.445256\pi\)
−0.795591 + 0.605834i \(0.792839\pi\)
\(440\) −8.39290e7 2.58887e7i −0.985267 0.303915i
\(441\) 1.76315e8 + 2.21092e8i 2.05576 + 2.57785i
\(442\) −7.06111e7 5.29157e6i −0.817723 0.0612798i
\(443\) 1.58811e8 4.89867e7i 1.82671 0.563465i 0.826709 0.562630i \(-0.190211\pi\)
1.00000 0.000834650i \(-0.000265677\pi\)
\(444\) −1.63890e8 1.11738e8i −1.87242 1.27660i
\(445\) 8.99905e7 + 1.35639e7i 1.02121 + 0.153923i
\(446\) −5.09957e7 2.23427e8i −0.574816 2.51843i
\(447\) −1.83638e8 + 1.70391e8i −2.05608 + 1.90776i
\(448\) 1.06277e8 7.96433e6i 1.18196 0.0885759i
\(449\) 330025. 129525.i 0.00364592 0.00143092i −0.363517 0.931587i \(-0.618424\pi\)
0.367163 + 0.930157i \(0.380329\pi\)
\(450\) −4.71939e6 3.13111e7i −0.0517902 0.343606i
\(451\) 1.36883e7 + 6.59196e6i 0.149218 + 0.0718596i
\(452\) −1.05786e7 + 2.19666e7i −0.114554 + 0.237875i
\(453\) −2.08405e8 + 3.14120e7i −2.24189 + 0.337910i
\(454\) 1.37160e7 + 3.49479e7i 0.146575 + 0.373468i
\(455\) −1.39774e7 1.86515e8i −0.148386 1.98007i
\(456\) −6.27906e7 6.76721e7i −0.662216 0.713700i
\(457\) −1.04998e8 + 2.39652e7i −1.10010 + 0.251091i −0.733774 0.679394i \(-0.762243\pi\)
−0.366329 + 0.930485i \(0.619386\pi\)
\(458\) 3.45329e6 2.29111e7i 0.0359449 0.238479i
\(459\) 6.21543e7 9.11637e7i 0.642737 0.942722i
\(460\) 8.15020e7 + 2.64223e8i 0.837326 + 2.71454i
\(461\) −4.16118e6 + 5.55271e7i −0.0424731 + 0.566764i 0.934854 + 0.355031i \(0.115530\pi\)
−0.977328 + 0.211733i \(0.932089\pi\)
\(462\) 2.05965e8 1.64251e8i 2.08866 1.66565i
\(463\) 2.94114e7 9.53494e7i 0.296328 0.960672i −0.677909 0.735146i \(-0.737114\pi\)
0.974237 0.225526i \(-0.0724101\pi\)
\(464\) 7.14370e7 + 2.80370e7i 0.715104 + 0.280658i
\(465\) −3.28061e7 + 1.43733e8i −0.326284 + 1.42954i
\(466\) 9.24956e6 + 1.60207e7i 0.0914036 + 0.158316i
\(467\) −1.42711e8 8.23943e7i −1.40122 0.808996i −0.406704 0.913560i \(-0.633322\pi\)
−0.994518 + 0.104564i \(0.966655\pi\)
\(468\) 5.20484e8 + 4.82939e8i 5.07773 + 4.71145i
\(469\) 2.12196e7 + 1.69221e7i 0.205692 + 0.164034i
\(470\) −2.17139e8 + 1.48043e8i −2.09144 + 1.42592i
\(471\) −2.23631e8 + 1.07695e8i −2.14027 + 1.03070i
\(472\) 1.09182e8i 1.03830i
\(473\) 4.32275e7 3.63215e7i 0.408485 0.343226i
\(474\) 4.15515e8 3.90168
\(475\) 962142. + 1.99791e6i 0.00897756 + 0.0186421i
\(476\) 6.91479e7 + 1.01421e8i 0.641148 + 0.940391i
\(477\) 1.47228e8 1.84618e8i 1.35655 1.70105i
\(478\) 1.33898e8 1.44308e8i 1.22600 1.32131i
\(479\) 8.71669e7 1.50977e8i 0.793131 1.37374i −0.130888 0.991397i \(-0.541783\pi\)
0.924019 0.382346i \(-0.124884\pi\)
\(480\) −4.41171e7 + 2.54710e7i −0.398917 + 0.230315i
\(481\) −7.97228e7 1.81962e7i −0.716387 0.163511i
\(482\) −1.12260e8 + 2.86034e8i −1.00250 + 2.55433i
\(483\) −4.08633e8 1.26046e8i −3.62653 1.11864i
\(484\) 1.04398e8 + 1.30911e8i 0.920777 + 1.15462i
\(485\) 1.86214e8 + 1.39548e7i 1.63225 + 0.122320i
\(486\) −6.06855e8 + 1.87190e8i −5.28659 + 1.63070i
\(487\) 3.43884e7 + 2.34456e7i 0.297732 + 0.202990i 0.702967 0.711222i \(-0.251858\pi\)
−0.405236 + 0.914212i \(0.632810\pi\)
\(488\) 1.16633e8 + 1.75796e7i 1.00360 + 0.151269i
\(489\) −2.90881e7 1.27443e8i −0.248765 1.08991i
\(490\) −1.96246e8 + 1.82090e8i −1.66806 + 1.54774i
\(491\) −1.28335e8 + 9.61742e6i −1.08418 + 0.0812482i −0.604815 0.796366i \(-0.706753\pi\)
−0.479367 + 0.877614i \(0.659134\pi\)
\(492\) 1.35373e8 5.31299e7i 1.13667 0.446112i
\(493\) −4.20685e6 2.79107e7i −0.0351089 0.232932i
\(494\) −6.64993e7 3.20244e7i −0.551615 0.265644i
\(495\) 7.65941e7 1.59049e8i 0.631510 1.31134i
\(496\) 1.07237e8 1.61634e7i 0.878823 0.132461i
\(497\) 8.09226e7 + 2.06187e8i 0.659175 + 1.67955i
\(498\) 1.36546e7 + 1.82208e8i 0.110558 + 1.47530i
\(499\) −2.81791e7 3.03698e7i −0.226791 0.244422i 0.609398 0.792865i \(-0.291411\pi\)
−0.836188 + 0.548443i \(0.815221\pi\)
\(500\) −2.41224e8 + 5.50578e7i −1.92979 + 0.440463i
\(501\) 5.65095e7 3.74916e8i 0.449375 2.98141i
\(502\) 1.78116e8 2.61248e8i 1.40796 2.06510i
\(503\) 5.70992e7 + 1.85111e8i 0.448669 + 1.45455i 0.844166 + 0.536082i \(0.180096\pi\)
−0.395496 + 0.918468i \(0.629427\pi\)
\(504\) 7.04010e7 9.39436e8i 0.549905 7.33797i
\(505\) −8.94318e7 + 7.13195e7i −0.694413 + 0.553776i
\(506\) −4.73239e7 + 1.53420e8i −0.365282 + 1.18422i
\(507\) 1.44904e8 + 5.68706e7i 1.11188 + 0.436379i
\(508\) −7.54269e7 + 3.30467e8i −0.575354 + 2.52079i
\(509\) −4.22743e7 7.32212e7i −0.320570 0.555244i 0.660036 0.751234i \(-0.270541\pi\)
−0.980606 + 0.195991i \(0.937208\pi\)
\(510\) 1.45938e8 + 8.42573e7i 1.10016 + 0.635180i
\(511\) −3.94816e7 3.66336e7i −0.295891 0.274547i
\(512\) −2.04902e8 1.63404e8i −1.52664 1.21745i
\(513\) 9.50255e7 6.47873e7i 0.703863 0.479886i
\(514\) −1.47227e8 + 7.09007e7i −1.08417 + 0.522109i
\(515\) 1.77454e7i 0.129916i
\(516\) 2.65778e7 5.39788e8i 0.193450 3.92893i
\(517\) −1.02802e8 −0.743925
\(518\) 9.12983e7 + 1.89583e8i 0.656861 + 1.36399i
\(519\) 1.41204e8 + 2.07108e8i 1.01005 + 1.48148i
\(520\) −2.16093e8 + 2.70972e8i −1.53684 + 1.92714i
\(521\) 3.49673e7 3.76857e7i 0.247257 0.266480i −0.597213 0.802083i \(-0.703725\pi\)
0.844470 + 0.535603i \(0.179916\pi\)
\(522\) −2.10062e8 + 3.63837e8i −1.47685 + 2.55797i
\(523\) 1.28424e8 7.41457e7i 0.897722 0.518300i 0.0212613 0.999774i \(-0.493232\pi\)
0.876460 + 0.481474i \(0.159898\pi\)
\(524\) −2.77626e8 6.33662e7i −1.92959 0.440417i
\(525\) −1.14104e7 + 2.90731e7i −0.0788535 + 0.200916i
\(526\) 3.50341e7 + 1.08066e7i 0.240732 + 0.0742560i
\(527\) −2.48696e7 3.11856e7i −0.169917 0.213070i
\(528\) −1.78720e8 1.33932e7i −1.21415 0.0909878i
\(529\) 1.07583e8 3.31849e7i 0.726734 0.224168i
\(530\) 1.84702e8 + 1.25928e8i 1.24064 + 0.845852i
\(531\) 2.16993e8 + 3.27064e7i 1.44931 + 0.218449i
\(532\) 2.84717e7 + 1.24742e8i 0.189094 + 0.828475i
\(533\) 4.39479e7 4.07777e7i 0.290239 0.269303i
\(534\) 5.04394e8 3.77991e7i 3.31243 0.248232i
\(535\) −1.25604e8 + 4.92961e7i −0.820245 + 0.321922i
\(536\) −7.49572e6 4.97308e7i −0.0486765 0.322947i
\(537\) −1.08312e8 5.21604e7i −0.699447 0.336836i
\(538\) 1.89097e7 3.92664e7i 0.121433 0.252159i
\(539\) −1.03551e8 + 1.56079e7i −0.661286 + 0.0996729i
\(540\) −3.82653e8 9.74984e8i −2.43010 6.19179i
\(541\) 1.86484e7 + 2.48846e8i 0.117774 + 1.57159i 0.672843 + 0.739785i \(0.265073\pi\)
−0.555068 + 0.831805i \(0.687308\pi\)
\(542\) 7.11674e7 + 7.67002e7i 0.446975 + 0.481725i
\(543\) −3.74456e8 + 8.54672e7i −2.33885 + 0.533827i
\(544\) 2.05419e6 1.36287e7i 0.0127598 0.0846559i
\(545\) 8.76209e7 1.28516e8i 0.541275 0.793905i
\(546\) −3.06410e8 9.93358e8i −1.88246 6.10278i
\(547\) −8.48025e6 + 1.13161e8i −0.0518139 + 0.691409i 0.909456 + 0.415800i \(0.136498\pi\)
−0.961270 + 0.275609i \(0.911121\pi\)
\(548\) −5.42147e7 + 4.32348e7i −0.329439 + 0.262719i
\(549\) −6.98770e7 + 2.26536e8i −0.422296 + 1.36905i
\(550\) 1.09154e7 + 4.28399e6i 0.0656074 + 0.0257490i
\(551\) 6.54692e6 2.86839e7i 0.0391365 0.171468i
\(552\) 3.96205e8 + 6.86246e8i 2.35560 + 4.08003i
\(553\) −2.57167e8 1.48475e8i −1.52069 0.877969i
\(554\) −8.63555e7 8.01262e7i −0.507880 0.471244i
\(555\) 1.52150e8 + 1.21336e8i 0.890006 + 0.709756i
\(556\) 5.52348e8 3.76584e8i 3.21357 2.19098i
\(557\) 1.55764e8 7.50121e7i 0.901368 0.434076i 0.0749849 0.997185i \(-0.476109\pi\)
0.826383 + 0.563109i \(0.190395\pi\)
\(558\) 5.93702e8i 3.41717i
\(559\) −7.10996e7 2.11149e8i −0.407035 1.20880i
\(560\) 3.27431e8 1.86447
\(561\) 2.86008e7 + 5.93902e7i 0.161991 + 0.336377i
\(562\) 8.13910e6 + 1.19379e7i 0.0458529 + 0.0672539i
\(563\) 1.12748e8 1.41382e8i 0.631808 0.792262i −0.358144 0.933666i \(-0.616590\pi\)
0.989952 + 0.141404i \(0.0451618\pi\)
\(564\) −6.69298e8 + 7.21331e8i −3.73063 + 4.02066i
\(565\) 1.19601e7 2.07155e7i 0.0663117 0.114855i
\(566\) −4.12472e8 + 2.38141e8i −2.27481 + 1.31336i
\(567\) 8.77461e8 + 2.00275e8i 4.81369 + 1.09869i
\(568\) 1.49951e8 3.82070e8i 0.818286 2.08496i
\(569\) 9.90139e7 + 3.05417e7i 0.537476 + 0.165789i 0.551597 0.834111i \(-0.314019\pi\)
−0.0141206 + 0.999900i \(0.504495\pi\)
\(570\) 1.09518e8 + 1.37331e8i 0.591372 + 0.741557i
\(571\) 9.59388e7 + 7.18962e6i 0.515331 + 0.0386187i 0.329858 0.944031i \(-0.392999\pi\)
0.185473 + 0.982649i \(0.440618\pi\)
\(572\) −2.51253e8 + 7.75012e7i −1.34253 + 0.414114i
\(573\) 1.55100e7 + 1.05745e7i 0.0824420 + 0.0562080i
\(574\) −1.52547e8 2.29928e7i −0.806620 0.121578i
\(575\) −4.23556e6 1.85572e7i −0.0222796 0.0976133i
\(576\) 2.90966e8 2.69977e8i 1.52256 1.41273i
\(577\) 2.85702e7 2.14104e6i 0.148726 0.0111455i −0.000159142 1.00000i \(-0.500051\pi\)
0.148885 + 0.988855i \(0.452432\pi\)
\(578\) 2.72228e8 1.06842e8i 1.40978 0.553296i
\(579\) 3.39480e7 + 2.25231e8i 0.174896 + 1.16036i
\(580\) −2.41406e8 1.16255e8i −1.23727 0.595838i
\(581\) 5.66572e7 1.17650e8i 0.288886 0.599878i
\(582\) 1.02627e9 1.54686e8i 5.20587 0.784659i
\(583\) 3.19472e7 + 8.14001e7i 0.161223 + 0.410790i
\(584\) 7.45823e6 + 9.95232e7i 0.0374453 + 0.499673i
\(585\) −4.73810e8 5.10645e8i −2.36666 2.55066i
\(586\) 2.42013e8 5.52380e7i 1.20267 0.274502i
\(587\) 4.43258e7 2.94083e8i 0.219151 1.45397i −0.560708 0.828014i \(-0.689471\pi\)
0.779859 0.625956i \(-0.215291\pi\)
\(588\) −5.64662e8 + 8.28207e8i −2.77752 + 4.07387i
\(589\) −1.22552e7 3.97303e7i −0.0599755 0.194436i
\(590\) −1.55248e7 + 2.07164e8i −0.0755909 + 1.00869i
\(591\) 1.46315e8 1.16682e8i 0.708805 0.565253i
\(592\) 4.21950e7 1.36793e8i 0.203374 0.659323i
\(593\) −5.98275e7 2.34806e7i −0.286904 0.112602i 0.217525 0.976055i \(-0.430202\pi\)
−0.504429 + 0.863453i \(0.668297\pi\)
\(594\) 1.35329e8 5.92914e8i 0.645700 2.82899i
\(595\) −6.02151e7 1.04296e8i −0.285861 0.495125i
\(596\) −5.57193e8 3.21695e8i −2.63188 1.51952i
\(597\) −4.97335e8 4.61460e8i −2.33736 2.16876i
\(598\) 4.95330e8 + 3.95012e8i 2.31628 + 1.84717i
\(599\) −2.84231e8 + 1.93786e8i −1.32249 + 0.901656i −0.999006 0.0445790i \(-0.985805\pi\)
−0.323480 + 0.946235i \(0.604853\pi\)
\(600\) 5.21423e7 2.51104e7i 0.241400 0.116252i
\(601\) 3.06672e8i 1.41270i 0.707861 + 0.706352i \(0.249660\pi\)
−0.707861 + 0.706352i \(0.750340\pi\)
\(602\) −3.10727e8 + 4.81806e8i −1.42426 + 2.20842i
\(603\) 1.01083e8 0.461026
\(604\) −2.34859e8 4.87689e8i −1.06585 2.21326i
\(605\) −9.25398e7 1.35731e8i −0.417890 0.612932i
\(606\) −3.96387e8 + 4.97054e8i −1.78116 + 2.23350i
\(607\) 2.32153e8 2.50201e8i 1.03802 1.11872i 0.0452200 0.998977i \(-0.485601\pi\)
0.992804 0.119747i \(-0.0382084\pi\)
\(608\) 7.18324e6 1.24417e7i 0.0319602 0.0553567i
\(609\) 3.58866e8 2.07191e8i 1.58884 0.917317i
\(610\) −2.18802e8 4.99402e7i −0.963967 0.220019i
\(611\) −1.48205e8 + 3.77619e8i −0.649737 + 1.65550i
\(612\) 4.36859e8 + 1.34753e8i 1.90584 + 0.587875i
\(613\) −7.37894e7 9.25290e7i −0.320341 0.401695i 0.595423 0.803413i \(-0.296985\pi\)
−0.915763 + 0.401718i \(0.868413\pi\)
\(614\) 8.65290e7 + 6.48445e6i 0.373815 + 0.0280136i
\(615\) −1.36338e8 + 4.20546e7i −0.586125 + 0.180796i
\(616\) 2.88246e8 + 1.96523e8i 1.23316 + 0.840757i
\(617\) −1.98169e8 2.98691e7i −0.843683 0.127165i −0.287042 0.957918i \(-0.592672\pi\)
−0.556641 + 0.830753i \(0.687910\pi\)
\(618\) 2.19466e7 + 9.61543e7i 0.0929826 + 0.407383i
\(619\) −1.81907e8 + 1.68785e8i −0.766967 + 0.711642i −0.963162 0.268923i \(-0.913332\pi\)
0.196194 + 0.980565i \(0.437142\pi\)
\(620\) −3.77585e8 + 2.82961e7i −1.58431 + 0.118727i
\(621\) −9.18966e8 + 3.60668e8i −3.83729 + 1.50603i
\(622\) −6.28098e7 4.16716e8i −0.261009 1.73168i
\(623\) −3.25682e8 1.56840e8i −1.34688 0.648624i
\(624\) −3.06849e8 + 6.37179e8i −1.26291 + 2.62245i
\(625\) 2.58256e8 3.89259e7i 1.05782 0.159440i
\(626\) −1.95033e8 4.96935e8i −0.795031 2.02571i
\(627\) 5.13474e6 + 6.85184e7i 0.0208313 + 0.277974i
\(628\) −4.33598e8 4.67308e8i −1.75069 1.88679i
\(629\) −5.13319e7 + 1.17162e7i −0.206270 + 0.0470797i
\(630\) −2.67161e8 + 1.77250e9i −1.06844 + 7.08866i
\(631\) 9.53949e6 1.39919e7i 0.0379697 0.0556913i −0.806785 0.590846i \(-0.798794\pi\)
0.844754 + 0.535154i \(0.179747\pi\)
\(632\) 1.62191e8 + 5.25810e8i 0.642503 + 2.08294i
\(633\) 3.31790e6 4.42742e7i 0.0130813 0.174558i
\(634\) 5.51716e8 4.39979e8i 2.16495 1.72649i
\(635\) 9.80231e7 3.17783e8i 0.382831 1.24111i
\(636\) 7.79156e8 + 3.05796e8i 3.02868 + 1.18867i
\(637\) −9.19533e7 + 4.02874e8i −0.355753 + 1.55866i
\(638\) −7.77895e7 1.34735e8i −0.299543 0.518823i
\(639\) 7.14424e8 + 4.12473e8i 2.73813 + 1.58086i
\(640\) 3.21910e8 + 2.98689e8i 1.22799 + 1.13941i
\(641\) 2.20236e8 + 1.75633e8i 0.836210 + 0.666855i 0.944950 0.327215i \(-0.106110\pi\)
−0.108740 + 0.994070i \(0.534682\pi\)
\(642\) −6.19628e8 + 4.22455e8i −2.34167 + 1.59652i
\(643\) 1.37488e8 6.62108e7i 0.517168 0.249055i −0.157045 0.987591i \(-0.550197\pi\)
0.674214 + 0.738536i \(0.264483\pi\)
\(644\) 1.09829e9i 4.11205i
\(645\) −6.55784e7 + 5.26155e8i −0.244389 + 1.96081i
\(646\) −4.75239e7 −0.176285
\(647\) −2.10237e8 4.36561e8i −0.776240 1.61188i −0.790869 0.611986i \(-0.790371\pi\)
0.0146291 0.999893i \(-0.495343\pi\)
\(648\) −9.39486e8 1.37797e9i −3.45275 5.06426i
\(649\) −5.06672e7 + 6.35347e7i −0.185350 + 0.232422i
\(650\) 3.14725e7 3.39193e7i 0.114602 0.123511i
\(651\) 2.92795e8 5.07136e8i 1.06126 1.83815i
\(652\) 2.90752e8 1.67865e8i 1.04901 0.605646i
\(653\) −4.85828e8 1.10887e8i −1.74479 0.398237i −0.773060 0.634333i \(-0.781275\pi\)
−0.971730 + 0.236096i \(0.924132\pi\)
\(654\) 3.15837e8 8.04739e8i 1.12909 2.87688i
\(655\) 2.66970e8 + 8.23493e7i 0.950033 + 0.293046i
\(656\) 6.54368e7 + 8.20551e7i 0.231798 + 0.290666i
\(657\) −2.00031e8 1.49903e7i −0.705346 0.0528584i
\(658\) 9.97485e8 3.07683e8i 3.50129 1.08001i
\(659\) 3.10300e8 + 2.11559e8i 1.08424 + 0.739223i 0.967229 0.253907i \(-0.0817157\pi\)
0.117013 + 0.993130i \(0.462668\pi\)
\(660\) 6.18753e8 + 9.32621e7i 2.15222 + 0.324394i
\(661\) 5.86863e7 + 2.57121e8i 0.203204 + 0.890295i 0.968971 + 0.247176i \(0.0795026\pi\)
−0.765767 + 0.643119i \(0.777640\pi\)
\(662\) 2.61864e8 2.42975e8i 0.902615 0.837504i
\(663\) 2.59389e8 1.94385e7i 0.890043 0.0666995i
\(664\) −2.25244e8 + 8.84016e7i −0.769393 + 0.301964i
\(665\) −1.87095e7 1.24130e8i −0.0636207 0.422095i
\(666\) 7.06079e8 + 3.40030e8i 2.39018 + 1.15105i
\(667\) −1.09576e8 + 2.27536e8i −0.369263 + 0.766783i
\(668\) 9.62899e8 1.45134e8i 3.23036 0.486899i
\(669\) 3.07567e8 + 7.83668e8i 1.02721 + 2.61730i
\(670\) 7.15122e6 + 9.54264e7i 0.0237769 + 0.317281i
\(671\) −5.97126e7 6.43549e7i −0.197651 0.213017i
\(672\) 1.97269e8 4.50253e7i 0.650055 0.148371i
\(673\) −3.05744e7 + 2.02848e8i −0.100303 + 0.665466i 0.881017 + 0.473084i \(0.156859\pi\)
−0.981320 + 0.192382i \(0.938379\pi\)
\(674\) −2.65215e8 + 3.88999e8i −0.866200 + 1.27048i
\(675\) 2.12521e7 + 6.88976e7i 0.0691019 + 0.224023i
\(676\) −2.98766e7 + 3.98676e8i −0.0967144 + 1.29056i
\(677\) −8.41803e7 + 6.71315e7i −0.271297 + 0.216352i −0.749682 0.661798i \(-0.769794\pi\)
0.478385 + 0.878150i \(0.341222\pi\)
\(678\) 3.91867e7 1.27040e8i 0.125733 0.407617i
\(679\) −6.90445e8 2.70980e8i −2.20556 0.865620i
\(680\) −4.96577e7 + 2.17564e8i −0.157928 + 0.691929i
\(681\) −6.89571e7 1.19437e8i −0.218342 0.378180i
\(682\) −1.90403e8 1.09929e8i −0.600234 0.346545i
\(683\) 3.67057e8 + 3.40579e8i 1.15205 + 1.06895i 0.996707 + 0.0810844i \(0.0258383\pi\)
0.155342 + 0.987861i \(0.450352\pi\)
\(684\) 3.72571e8 + 2.97115e8i 1.16424 + 0.928447i
\(685\) 5.62110e7 3.83240e7i 0.174884 0.119234i
\(686\) 1.93708e8 9.32848e7i 0.600033 0.288960i
\(687\) 8.51143e7i 0.262502i
\(688\) 3.77908e8 9.64964e7i 1.16043 0.296310i
\(689\) 3.45062e8 1.05497
\(690\) −6.54189e8 1.35844e9i −1.99139 4.13516i
\(691\) −6.87563e7 1.00847e8i −0.208391 0.305653i 0.707787 0.706426i \(-0.249694\pi\)
−0.916177 + 0.400773i \(0.868741\pi\)
\(692\) −4.01391e8 + 5.03328e8i −1.21129 + 1.51891i
\(693\) −4.76926e8 + 5.14004e8i −1.43302 + 1.54442i
\(694\) −3.32976e8 + 5.76732e8i −0.996173 + 1.72542i
\(695\) −5.68001e8 + 3.27936e8i −1.69198 + 0.976864i
\(696\) −7.48607e8 1.70865e8i −2.22037 0.506786i
\(697\) 1.41028e7 3.59335e7i 0.0416494 0.106121i
\(698\) −2.92175e8 9.01240e7i −0.859165 0.265017i
\(699\) −4.23701e7 5.31304e7i −0.124059 0.155565i
\(700\) −7.99892e7 5.99436e6i −0.233205 0.0174763i
\(701\) 3.13009e8 9.65504e7i 0.908662 0.280285i 0.195023 0.980799i \(-0.437522\pi\)
0.713639 + 0.700513i \(0.247046\pi\)
\(702\) −1.98284e9 1.35188e9i −5.73160 3.90774i
\(703\) −5.42694e7 8.17980e6i −0.156203 0.0235438i
\(704\) 3.27079e7 + 1.43303e8i 0.0937422 + 0.410711i
\(705\) 7.07696e8 6.56646e8i 2.01966 1.87397i
\(706\) 4.84677e8 3.63215e7i 1.37733 0.103217i
\(707\) 4.22940e8 1.65992e8i 1.19680 0.469709i
\(708\) 1.15933e8 + 7.69164e8i 0.326668 + 2.16730i
\(709\) −1.54836e8 7.45651e7i −0.434443 0.209217i 0.203863 0.978999i \(-0.434650\pi\)
−0.638306 + 0.769783i \(0.720365\pi\)
\(710\) −3.38848e8 + 7.03626e8i −0.946739 + 1.96592i
\(711\) −1.09361e9 + 1.64835e8i −3.04265 + 0.458606i
\(712\) 2.44716e8 + 6.23526e8i 0.677989 + 1.72749i
\(713\) 2.66703e7 + 3.55891e8i 0.0735800 + 0.981856i
\(714\) −4.55267e8 4.90661e8i −1.25075 1.34799i
\(715\) 2.51496e8 5.74023e7i 0.688039 0.157040i
\(716\) 4.60176e7 3.05307e8i 0.125367 0.831759i
\(717\) −4.07370e8 + 5.97502e8i −1.10518 + 1.62100i
\(718\) 5.04687e7 + 1.63616e8i 0.136348 + 0.442029i
\(719\) 1.62953e7 2.17446e8i 0.0438406 0.585012i −0.931419 0.363949i \(-0.881428\pi\)
0.975260 0.221063i \(-0.0709526\pi\)
\(720\) 9.53426e8 7.60332e8i 2.55440 2.03707i
\(721\) 2.07757e7 6.73531e7i 0.0554306 0.179702i
\(722\) 5.67201e8 + 2.22610e8i 1.50704 + 0.591470i
\(723\) 2.51175e8 1.10047e9i 0.664602 2.91181i
\(724\) −4.93225e8 8.54291e8i −1.29966 2.25108i
\(725\) 1.59736e7 + 9.22235e6i 0.0419168 + 0.0242007i
\(726\) −6.69298e8 6.21018e8i −1.74908 1.62291i
\(727\) −6.81841e7 5.43750e7i −0.177452 0.141513i 0.530736 0.847537i \(-0.321916\pi\)
−0.708188 + 0.706024i \(0.750487\pi\)
\(728\) 1.13743e9 7.75488e8i 2.94803 2.00993i
\(729\) 9.53798e8 4.59325e8i 2.46192 1.18560i
\(730\) 1.89898e8i 0.488149i
\(731\) −1.00235e8 1.02628e8i −0.256605 0.262732i
\(732\) −8.40323e8 −2.14246
\(733\) 1.22271e8 + 2.53898e8i 0.310464 + 0.644686i 0.996564 0.0828214i \(-0.0263931\pi\)
−0.686100 + 0.727507i \(0.740679\pi\)
\(734\) −6.00678e8 8.81033e8i −1.51899 2.22794i
\(735\) 6.13161e8 7.68879e8i 1.54423 1.93641i
\(736\) −8.38771e7 + 9.03981e7i −0.210383 + 0.226739i
\(737\) −1.87164e7 + 3.24177e7i −0.0467541 + 0.0809804i
\(738\) −4.97585e8 + 2.87281e8i −1.23794 + 0.714723i
\(739\) 1.82032e8 + 4.15476e7i 0.451039 + 0.102947i 0.442005 0.897013i \(-0.354267\pi\)
0.00903368 + 0.999959i \(0.497124\pi\)
\(740\) −1.82601e8 + 4.65261e8i −0.450618 + 1.14816i
\(741\) 2.59089e8 + 7.99185e7i 0.636788 + 0.196423i
\(742\) −5.53612e8 6.94207e8i −1.35517 1.69933i
\(743\) 5.97166e7 + 4.47514e6i 0.145589 + 0.0109104i 0.147325 0.989088i \(-0.452934\pi\)
−0.00173616 + 0.999998i \(0.500553\pi\)
\(744\) −1.03690e9 + 3.19842e8i −2.51778 + 0.776634i
\(745\) 5.21545e8 + 3.55584e8i 1.26131 + 0.859949i
\(746\) −8.20754e7 1.23709e7i −0.197695 0.0297978i
\(747\) −1.08220e8 4.74142e8i −0.259624 1.13749i
\(748\) −1.24104e8 + 1.15152e8i −0.296539 + 0.275148i
\(749\) 5.34450e8 4.00515e7i 1.27193 0.0953177i
\(750\) 1.25592e9 4.92913e8i 2.97700 1.16839i
\(751\) −1.62777e7 1.07996e8i −0.0384303 0.254968i 0.961363 0.275283i \(-0.0887714\pi\)
−0.999794 + 0.0203142i \(0.993533\pi\)
\(752\) −6.39826e8 3.08124e8i −1.50456 0.724556i
\(753\) −5.03964e8 + 1.04649e9i −1.18036 + 2.45104i
\(754\) −6.07065e8 + 9.15003e7i −1.41619 + 0.213456i
\(755\) 1.94019e8 + 4.94352e8i 0.450819 + 1.14867i
\(756\) 3.10894e8 + 4.14859e9i 0.719526 + 9.60140i
\(757\) 5.61185e8 + 6.04813e8i 1.29365 + 1.39423i 0.873537 + 0.486758i \(0.161821\pi\)
0.420118 + 0.907470i \(0.361989\pi\)
\(758\) −5.78219e8 + 1.31975e8i −1.32765 + 0.303028i
\(759\) 8.79036e7 5.83203e8i 0.201040 1.33381i
\(760\) −1.31035e8 + 1.92194e8i −0.298503 + 0.437823i
\(761\) −6.30995e7 2.04563e8i −0.143176 0.464167i 0.855373 0.518013i \(-0.173328\pi\)
−0.998549 + 0.0538462i \(0.982852\pi\)
\(762\) 1.38126e8 1.84316e9i 0.312183 4.16579i
\(763\) −4.83031e8 + 3.85204e8i −1.08743 + 0.867197i
\(764\)