Properties

Label 18.7.d.a.5.1
Level $18$
Weight $7$
Character 18.5
Analytic conductor $4.141$
Analytic rank $0$
Dimension $12$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 18 = 2 \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 18.d (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.14097350516\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(6\) over \(\Q(\zeta_{6})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{12} + \cdots)\)
Defining polynomial: \( x^{12} + 370x^{10} + 51793x^{8} + 3491832x^{6} + 117603792x^{4} + 1832032512x^{2} + 10453017600 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 2^{10}\cdot 3^{10} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 5.1
Root \(4.28281i\) of defining polynomial
Character \(\chi\) \(=\) 18.5
Dual form 18.7.d.a.11.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-4.89898 + 2.82843i) q^{2} +(-22.5447 - 14.8572i) q^{3} +(16.0000 - 27.7128i) q^{4} +(156.951 + 90.6160i) q^{5} +(152.469 + 9.01919i) q^{6} +(104.306 + 180.663i) q^{7} +181.019i q^{8} +(287.526 + 669.903i) q^{9} +O(q^{10})\) \(q+(-4.89898 + 2.82843i) q^{2} +(-22.5447 - 14.8572i) q^{3} +(16.0000 - 27.7128i) q^{4} +(156.951 + 90.6160i) q^{5} +(152.469 + 9.01919i) q^{6} +(104.306 + 180.663i) q^{7} +181.019i q^{8} +(287.526 + 669.903i) q^{9} -1025.20 q^{10} +(2301.99 - 1329.05i) q^{11} +(-772.450 + 387.061i) q^{12} +(-438.599 + 759.676i) q^{13} +(-1021.99 - 590.043i) q^{14} +(-2192.12 - 4374.77i) q^{15} +(-512.000 - 886.810i) q^{16} +4428.53i q^{17} +(-3303.36 - 2468.59i) q^{18} -4194.21 q^{19} +(5022.45 - 2899.71i) q^{20} +(332.607 - 5622.69i) q^{21} +(-7518.27 + 13022.0i) q^{22} +(10399.9 + 6004.40i) q^{23} +(2689.44 - 4081.02i) q^{24} +(8610.01 + 14913.0i) q^{25} -4962.18i q^{26} +(3470.70 - 19374.6i) q^{27} +6675.58 q^{28} +(2288.79 - 1321.43i) q^{29} +(23112.9 + 15231.7i) q^{30} +(-2902.50 + 5027.28i) q^{31} +(5016.55 + 2896.31i) q^{32} +(-71643.7 - 4238.04i) q^{33} +(-12525.8 - 21695.3i) q^{34} +37807.1i q^{35} +(23165.3 + 2750.28i) q^{36} +41579.5 q^{37} +(20547.4 - 11863.0i) q^{38} +(21174.8 - 10610.3i) q^{39} +(-16403.2 + 28411.3i) q^{40} +(-64721.2 - 37366.8i) q^{41} +(14273.9 + 28486.2i) q^{42} +(-73052.9 - 126531. i) q^{43} -85059.5i q^{44} +(-15576.2 + 131197. i) q^{45} -67932.1 q^{46} +(-22319.7 + 12886.3i) q^{47} +(-1632.65 + 27599.8i) q^{48} +(37065.1 - 64198.6i) q^{49} +(-84360.6 - 48705.6i) q^{50} +(65795.6 - 99839.7i) q^{51} +(14035.2 + 24309.6i) q^{52} +197505. i q^{53} +(37796.7 + 104732. i) q^{54} +481734. q^{55} +(-32703.5 + 18881.4i) q^{56} +(94557.3 + 62314.3i) q^{57} +(-7475.15 + 12947.3i) q^{58} +(-31321.5 - 18083.5i) q^{59} +(-156311. - 9246.50i) q^{60} +(-11967.3 - 20728.0i) q^{61} -32838.1i q^{62} +(-91036.1 + 121820. i) q^{63} -32768.0 q^{64} +(-137678. + 79488.2i) q^{65} +(362968. - 181877. i) q^{66} +(-176540. + 305776. i) q^{67} +(122727. + 70856.4i) q^{68} +(-145255. - 289881. i) q^{69} +(-106935. - 185216. i) q^{70} -496781. i q^{71} +(-121265. + 52047.8i) q^{72} -382139. q^{73} +(-203697. + 117605. i) q^{74} +(27455.3 - 464129. i) q^{75} +(-67107.4 + 116233. i) q^{76} +(480222. + 277257. i) q^{77} +(-73724.2 + 111871. i) q^{78} +(-193328. - 334855. i) q^{79} -185582. i q^{80} +(-366098. + 385229. i) q^{81} +422757. q^{82} +(359691. - 207667. i) q^{83} +(-150499. - 99180.5i) q^{84} +(-401295. + 695064. i) q^{85} +(715770. + 413250. i) q^{86} +(-71232.8 - 4213.73i) q^{87} +(240585. + 416705. i) q^{88} +405654. i q^{89} +(-294773. - 686786. i) q^{90} -182994. q^{91} +(332798. - 192141. i) q^{92} +(140128. - 70215.4i) q^{93} +(72895.7 - 126259. i) q^{94} +(-658288. - 380063. i) q^{95} +(-70065.6 - 139828. i) q^{96} +(-178244. - 308727. i) q^{97} +419343. i q^{98} +(1.55222e6 + 1.15997e6i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12 q - 42 q^{3} + 192 q^{4} + 432 q^{5} - 144 q^{6} + 240 q^{7} + 2190 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 12 q - 42 q^{3} + 192 q^{4} + 432 q^{5} - 144 q^{6} + 240 q^{7} + 2190 q^{9} + 378 q^{11} + 384 q^{12} + 1680 q^{13} - 4752 q^{14} - 10872 q^{15} - 6144 q^{16} - 2976 q^{18} - 2820 q^{19} + 13824 q^{20} + 24876 q^{21} - 3600 q^{22} - 76248 q^{23} - 6144 q^{24} + 8094 q^{25} + 127008 q^{27} + 15360 q^{28} + 97092 q^{29} + 34272 q^{30} + 21480 q^{31} - 246258 q^{33} - 27360 q^{34} + 38208 q^{36} - 25536 q^{37} + 97632 q^{38} + 42204 q^{39} - 410562 q^{41} - 222144 q^{42} + 71430 q^{43} + 13716 q^{45} - 135072 q^{46} + 347652 q^{47} + 55296 q^{48} - 135954 q^{49} + 311040 q^{50} + 336402 q^{51} - 53760 q^{52} - 173520 q^{54} + 580392 q^{55} - 152064 q^{56} - 522282 q^{57} + 159264 q^{58} + 369738 q^{59} - 170496 q^{60} + 135744 q^{61} - 103800 q^{63} - 393216 q^{64} - 753840 q^{65} + 909216 q^{66} - 289938 q^{67} + 744768 q^{68} + 2059272 q^{69} + 155952 q^{70} - 374784 q^{72} - 977700 q^{73} - 2197152 q^{74} - 2115342 q^{75} - 45120 q^{76} - 159192 q^{77} - 631488 q^{78} - 764796 q^{79} - 1428282 q^{81} + 1073088 q^{82} + 396900 q^{83} + 1441536 q^{84} + 1619568 q^{85} + 3264624 q^{86} + 3072636 q^{87} + 115200 q^{88} - 1987200 q^{90} + 355584 q^{91} - 2439936 q^{92} - 2526576 q^{93} - 736848 q^{94} - 2089260 q^{95} - 49152 q^{96} - 38874 q^{97} + 4398804 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/18\mathbb{Z}\right)^\times\).

\(n\) \(11\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.89898 + 2.82843i −0.612372 + 0.353553i
\(3\) −22.5447 14.8572i −0.834989 0.550267i
\(4\) 16.0000 27.7128i 0.250000 0.433013i
\(5\) 156.951 + 90.6160i 1.25561 + 0.724928i 0.972218 0.234076i \(-0.0752064\pi\)
0.283394 + 0.959004i \(0.408540\pi\)
\(6\) 152.469 + 9.01919i 0.705873 + 0.0417555i
\(7\) 104.306 + 180.663i 0.304099 + 0.526715i 0.977060 0.212963i \(-0.0683113\pi\)
−0.672961 + 0.739678i \(0.734978\pi\)
\(8\) 181.019i 0.353553i
\(9\) 287.526 + 669.903i 0.394412 + 0.918934i
\(10\) −1025.20 −1.02520
\(11\) 2301.99 1329.05i 1.72952 0.998538i 0.837737 0.546074i \(-0.183878\pi\)
0.891782 0.452465i \(-0.149455\pi\)
\(12\) −772.450 + 387.061i −0.447020 + 0.223994i
\(13\) −438.599 + 759.676i −0.199636 + 0.345779i −0.948410 0.317046i \(-0.897309\pi\)
0.748775 + 0.662825i \(0.230642\pi\)
\(14\) −1021.99 590.043i −0.372444 0.215030i
\(15\) −2192.12 4374.77i −0.649517 1.29623i
\(16\) −512.000 886.810i −0.125000 0.216506i
\(17\) 4428.53i 0.901389i 0.892678 + 0.450695i \(0.148824\pi\)
−0.892678 + 0.450695i \(0.851176\pi\)
\(18\) −3303.36 2468.59i −0.566419 0.423284i
\(19\) −4194.21 −0.611491 −0.305745 0.952113i \(-0.598906\pi\)
−0.305745 + 0.952113i \(0.598906\pi\)
\(20\) 5022.45 2899.71i 0.627806 0.362464i
\(21\) 332.607 5622.69i 0.0359148 0.607136i
\(22\) −7518.27 + 13022.0i −0.706073 + 1.22295i
\(23\) 10399.9 + 6004.40i 0.854766 + 0.493499i 0.862256 0.506473i \(-0.169051\pi\)
−0.00749035 + 0.999972i \(0.502384\pi\)
\(24\) 2689.44 4081.02i 0.194549 0.295213i
\(25\) 8610.01 + 14913.0i 0.551041 + 0.954431i
\(26\) 4962.18i 0.282327i
\(27\) 3470.70 19374.6i 0.176330 0.984331i
\(28\) 6675.58 0.304099
\(29\) 2288.79 1321.43i 0.0938450 0.0541815i −0.452343 0.891844i \(-0.649412\pi\)
0.546188 + 0.837663i \(0.316078\pi\)
\(30\) 23112.9 + 15231.7i 0.856033 + 0.564136i
\(31\) −2902.50 + 5027.28i −0.0974289 + 0.168752i −0.910620 0.413245i \(-0.864395\pi\)
0.813191 + 0.581997i \(0.197729\pi\)
\(32\) 5016.55 + 2896.31i 0.153093 + 0.0883883i
\(33\) −71643.7 4238.04i −1.99359 0.117930i
\(34\) −12525.8 21695.3i −0.318689 0.551986i
\(35\) 37807.1i 0.881799i
\(36\) 23165.3 + 2750.28i 0.496513 + 0.0589481i
\(37\) 41579.5 0.820869 0.410435 0.911890i \(-0.365377\pi\)
0.410435 + 0.911890i \(0.365377\pi\)
\(38\) 20547.4 11863.0i 0.374460 0.216195i
\(39\) 21174.8 10610.3i 0.356964 0.178868i
\(40\) −16403.2 + 28411.3i −0.256301 + 0.443926i
\(41\) −64721.2 37366.8i −0.939063 0.542168i −0.0493965 0.998779i \(-0.515730\pi\)
−0.889666 + 0.456611i \(0.849063\pi\)
\(42\) 14273.9 + 28486.2i 0.192662 + 0.384491i
\(43\) −73052.9 126531.i −0.918824 1.59145i −0.801204 0.598391i \(-0.795807\pi\)
−0.117620 0.993059i \(-0.537526\pi\)
\(44\) 85059.5i 0.998538i
\(45\) −15576.2 + 131197.i −0.170933 + 1.43974i
\(46\) −67932.1 −0.697913
\(47\) −22319.7 + 12886.3i −0.214978 + 0.124118i −0.603623 0.797270i \(-0.706277\pi\)
0.388645 + 0.921388i \(0.372943\pi\)
\(48\) −1632.65 + 27599.8i −0.0147628 + 0.249564i
\(49\) 37065.1 64198.6i 0.315048 0.545679i
\(50\) −84360.6 48705.6i −0.674885 0.389645i
\(51\) 65795.6 99839.7i 0.496005 0.752650i
\(52\) 14035.2 + 24309.6i 0.0998178 + 0.172889i
\(53\) 197505.i 1.32663i 0.748340 + 0.663316i \(0.230851\pi\)
−0.748340 + 0.663316i \(0.769149\pi\)
\(54\) 37796.7 + 104732.i 0.240034 + 0.665119i
\(55\) 481734. 2.89547
\(56\) −32703.5 + 18881.4i −0.186222 + 0.107515i
\(57\) 94557.3 + 62314.3i 0.510588 + 0.336483i
\(58\) −7475.15 + 12947.3i −0.0383121 + 0.0663585i
\(59\) −31321.5 18083.5i −0.152506 0.0880493i 0.421805 0.906687i \(-0.361397\pi\)
−0.574311 + 0.818637i \(0.694730\pi\)
\(60\) −156311. 9246.50i −0.723663 0.0428079i
\(61\) −11967.3 20728.0i −0.0527239 0.0913204i 0.838459 0.544965i \(-0.183457\pi\)
−0.891183 + 0.453644i \(0.850124\pi\)
\(62\) 32838.1i 0.137785i
\(63\) −91036.1 + 121820.i −0.364076 + 0.487189i
\(64\) −32768.0 −0.125000
\(65\) −137678. + 79488.2i −0.501330 + 0.289443i
\(66\) 362968. 181877.i 1.26252 0.632624i
\(67\) −176540. + 305776.i −0.586973 + 1.01667i 0.407653 + 0.913137i \(0.366347\pi\)
−0.994626 + 0.103530i \(0.966986\pi\)
\(68\) 122727. + 70856.4i 0.390313 + 0.225347i
\(69\) −145255. 289881.i −0.442163 0.882416i
\(70\) −106935. 185216.i −0.311763 0.539989i
\(71\) 496781.i 1.38800i −0.719974 0.694001i \(-0.755846\pi\)
0.719974 0.694001i \(-0.244154\pi\)
\(72\) −121265. + 52047.8i −0.324892 + 0.139446i
\(73\) −382139. −0.982319 −0.491160 0.871070i \(-0.663427\pi\)
−0.491160 + 0.871070i \(0.663427\pi\)
\(74\) −203697. + 117605.i −0.502678 + 0.290221i
\(75\) 27455.3 464129.i 0.0650792 1.10016i
\(76\) −67107.4 + 116233.i −0.152873 + 0.264783i
\(77\) 480222. + 277257.i 1.05189 + 0.607309i
\(78\) −73724.2 + 111871.i −0.155355 + 0.235740i
\(79\) −193328. 334855.i −0.392116 0.679165i 0.600613 0.799540i \(-0.294923\pi\)
−0.992728 + 0.120376i \(0.961590\pi\)
\(80\) 185582.i 0.362464i
\(81\) −366098. + 385229.i −0.688879 + 0.724877i
\(82\) 422757. 0.766742
\(83\) 359691. 207667.i 0.629064 0.363190i −0.151326 0.988484i \(-0.548354\pi\)
0.780389 + 0.625294i \(0.215021\pi\)
\(84\) −150499. 99180.5i −0.253919 0.167336i
\(85\) −401295. + 695064.i −0.653442 + 1.13180i
\(86\) 715770. + 413250.i 1.12533 + 0.649707i
\(87\) −71232.8 4213.73i −0.108174 0.00639896i
\(88\) 240585. + 416705.i 0.353037 + 0.611477i
\(89\) 405654.i 0.575421i 0.957717 + 0.287710i \(0.0928941\pi\)
−0.957717 + 0.287710i \(0.907106\pi\)
\(90\) −294773. 686786.i −0.404352 0.942094i
\(91\) −182994. −0.242836
\(92\) 332798. 192141.i 0.427383 0.246750i
\(93\) 140128. 70215.4i 0.174211 0.0872939i
\(94\) 72895.7 126259.i 0.0877644 0.152012i
\(95\) −658288. 380063.i −0.767795 0.443287i
\(96\) −70065.6 139828.i −0.0791938 0.158045i
\(97\) −178244. 308727.i −0.195298 0.338267i 0.751700 0.659505i \(-0.229234\pi\)
−0.946998 + 0.321239i \(0.895901\pi\)
\(98\) 419343.i 0.445545i
\(99\) 1.55222e6 + 1.15997e6i 1.59973 + 1.19548i
\(100\) 551041. 0.551041
\(101\) 1.41963e6 819621.i 1.37787 0.795516i 0.385971 0.922511i \(-0.373867\pi\)
0.991903 + 0.126995i \(0.0405332\pi\)
\(102\) −39941.7 + 675211.i −0.0376380 + 0.636266i
\(103\) −462737. + 801484.i −0.423470 + 0.733472i −0.996276 0.0862192i \(-0.972521\pi\)
0.572806 + 0.819691i \(0.305855\pi\)
\(104\) −137516. 79394.9i −0.122251 0.0705818i
\(105\) 561709. 852350.i 0.485225 0.736292i
\(106\) −558628. 967573.i −0.469035 0.812393i
\(107\) 266819.i 0.217804i 0.994053 + 0.108902i \(0.0347334\pi\)
−0.994053 + 0.108902i \(0.965267\pi\)
\(108\) −481393. 406176.i −0.382145 0.322436i
\(109\) 169960. 0.131240 0.0656200 0.997845i \(-0.479097\pi\)
0.0656200 + 0.997845i \(0.479097\pi\)
\(110\) −2.36001e6 + 1.36255e6i −1.77311 + 1.02370i
\(111\) −937397. 617756.i −0.685417 0.451698i
\(112\) 106809. 184999.i 0.0760247 0.131679i
\(113\) −1.65439e6 955161.i −1.14657 0.661974i −0.198523 0.980096i \(-0.563615\pi\)
−0.948050 + 0.318122i \(0.896948\pi\)
\(114\) −639486. 37828.4i −0.431635 0.0255331i
\(115\) 1.08819e6 + 1.88480e6i 0.715503 + 1.23929i
\(116\) 84571.6i 0.0541815i
\(117\) −635018. 75392.0i −0.396486 0.0470726i
\(118\) 204591. 0.124520
\(119\) −800071. + 461921.i −0.474775 + 0.274111i
\(120\) 791918. 396816.i 0.458286 0.229639i
\(121\) 2.64699e6 4.58473e6i 1.49416 2.58796i
\(122\) 117255. + 67697.4i 0.0645733 + 0.0372814i
\(123\) 903952. + 1.80400e6i 0.485769 + 0.969440i
\(124\) 92880.1 + 160873.i 0.0487144 + 0.0843759i
\(125\) 289070.i 0.148004i
\(126\) 101424. 854284.i 0.0507026 0.427061i
\(127\) −1.75663e6 −0.857571 −0.428786 0.903406i \(-0.641058\pi\)
−0.428786 + 0.903406i \(0.641058\pi\)
\(128\) 160530. 92681.9i 0.0765466 0.0441942i
\(129\) −232949. + 3.93797e6i −0.108515 + 1.83444i
\(130\) 449653. 778822.i 0.204667 0.354493i
\(131\) −2.07548e6 1.19828e6i −0.923221 0.533022i −0.0385598 0.999256i \(-0.512277\pi\)
−0.884661 + 0.466234i \(0.845610\pi\)
\(132\) −1.26375e6 + 1.91764e6i −0.549463 + 0.833768i
\(133\) −437481. 757740.i −0.185954 0.322081i
\(134\) 1.99732e6i 0.830105i
\(135\) 2.30038e6 2.72637e6i 0.934971 1.10811i
\(136\) −801649. −0.318689
\(137\) 1.15495e6 666808.i 0.449159 0.259322i −0.258316 0.966060i \(-0.583168\pi\)
0.707475 + 0.706739i \(0.249834\pi\)
\(138\) 1.53151e6 + 1.00928e6i 0.582750 + 0.384039i
\(139\) −1.08878e6 + 1.88583e6i −0.405412 + 0.702194i −0.994369 0.105970i \(-0.966205\pi\)
0.588957 + 0.808164i \(0.299539\pi\)
\(140\) 1.04774e6 + 604914.i 0.381830 + 0.220450i
\(141\) 694644. + 41091.3i 0.247802 + 0.0146586i
\(142\) 1.40511e6 + 2.43372e6i 0.490733 + 0.849974i
\(143\) 2.33169e6i 0.797375i
\(144\) 446863. 597971.i 0.149654 0.200259i
\(145\) 478971. 0.157111
\(146\) 1.87209e6 1.08085e6i 0.601545 0.347302i
\(147\) −1.78943e6 + 896653.i −0.563330 + 0.282275i
\(148\) 665272. 1.15228e6i 0.205217 0.355447i
\(149\) 3.35022e6 + 1.93425e6i 1.01278 + 0.584727i 0.912004 0.410182i \(-0.134535\pi\)
0.100774 + 0.994909i \(0.467868\pi\)
\(150\) 1.17825e6 + 2.35142e6i 0.349112 + 0.696716i
\(151\) −480879. 832907.i −0.139671 0.241917i 0.787701 0.616057i \(-0.211271\pi\)
−0.927372 + 0.374141i \(0.877938\pi\)
\(152\) 759234.i 0.216195i
\(153\) −2.96668e6 + 1.27332e6i −0.828317 + 0.355519i
\(154\) −3.13680e6 −0.858864
\(155\) −911105. + 526027.i −0.244666 + 0.141258i
\(156\) 44754.9 756577.i 0.0117887 0.199287i
\(157\) 796173. 1.37901e6i 0.205735 0.356344i −0.744632 0.667476i \(-0.767375\pi\)
0.950367 + 0.311132i \(0.100708\pi\)
\(158\) 1.89422e6 + 1.09363e6i 0.480242 + 0.277268i
\(159\) 2.93437e6 4.45269e6i 0.730002 1.10772i
\(160\) 524904. + 909160.i 0.128150 + 0.221963i
\(161\) 2.50518e6i 0.600290i
\(162\) 703916. 2.92271e6i 0.165568 0.687450i
\(163\) 702280. 0.162161 0.0810807 0.996708i \(-0.474163\pi\)
0.0810807 + 0.996708i \(0.474163\pi\)
\(164\) −2.07108e6 + 1.19574e6i −0.469531 + 0.271084i
\(165\) −1.08606e7 7.15723e6i −2.41769 1.59328i
\(166\) −1.17474e6 + 2.03472e6i −0.256814 + 0.444815i
\(167\) −3.27789e6 1.89249e6i −0.703794 0.406335i 0.104965 0.994476i \(-0.466527\pi\)
−0.808759 + 0.588140i \(0.799860\pi\)
\(168\) 1.01782e6 + 60208.3i 0.214655 + 0.0126978i
\(169\) 2.02867e6 + 3.51375e6i 0.420291 + 0.727966i
\(170\) 4.54014e6i 0.924107i
\(171\) −1.20595e6 2.80972e6i −0.241179 0.561919i
\(172\) −4.67539e6 −0.918824
\(173\) 3.78706e6 2.18646e6i 0.731416 0.422283i −0.0875242 0.996162i \(-0.527896\pi\)
0.818940 + 0.573879i \(0.194562\pi\)
\(174\) 360886. 180834.i 0.0685050 0.0343267i
\(175\) −1.79615e6 + 3.11102e6i −0.335142 + 0.580483i
\(176\) −2.35724e6 1.36095e6i −0.432380 0.249635i
\(177\) 437463. + 873037.i 0.0788900 + 0.157439i
\(178\) −1.14736e6 1.98729e6i −0.203442 0.352372i
\(179\) 49288.2i 0.00859377i −0.999991 0.00429688i \(-0.998632\pi\)
0.999991 0.00429688i \(-0.00136775\pi\)
\(180\) 3.38661e6 + 2.53081e6i 0.580694 + 0.433952i
\(181\) −4.52205e6 −0.762605 −0.381303 0.924450i \(-0.624524\pi\)
−0.381303 + 0.924450i \(0.624524\pi\)
\(182\) 896484. 517585.i 0.148706 0.0858554i
\(183\) −38160.9 + 645107.i −0.00622681 + 0.105264i
\(184\) −1.08691e6 + 1.88259e6i −0.174478 + 0.302205i
\(185\) 6.52596e6 + 3.76777e6i 1.03069 + 0.595071i
\(186\) −487883. + 740324.i −0.0758187 + 0.115049i
\(187\) 5.88575e6 + 1.01944e7i 0.900072 + 1.55897i
\(188\) 824721.i 0.124118i
\(189\) 3.86229e6 1.39386e6i 0.572083 0.206458i
\(190\) 4.29992e6 0.626902
\(191\) 1.07831e6 622561.i 0.154754 0.0893473i −0.420623 0.907235i \(-0.638189\pi\)
0.575377 + 0.817888i \(0.304855\pi\)
\(192\) 738744. + 486841.i 0.104374 + 0.0687834i
\(193\) 5.47671e6 9.48595e6i 0.761812 1.31950i −0.180103 0.983648i \(-0.557643\pi\)
0.941915 0.335850i \(-0.109024\pi\)
\(194\) 1.74642e6 + 1.00830e6i 0.239191 + 0.138097i
\(195\) 4.28487e6 + 253469.i 0.577875 + 0.0341839i
\(196\) −1.18608e6 2.05435e6i −0.157524 0.272839i
\(197\) 1.07910e7i 1.41144i 0.708492 + 0.705719i \(0.249376\pi\)
−0.708492 + 0.705719i \(0.750624\pi\)
\(198\) −1.08852e7 1.29234e6i −1.40230 0.166487i
\(199\) 5.05948e6 0.642017 0.321008 0.947076i \(-0.395978\pi\)
0.321008 + 0.947076i \(0.395978\pi\)
\(200\) −2.69954e6 + 1.55858e6i −0.337442 + 0.194822i
\(201\) 8.52301e6 4.27073e6i 1.04955 0.525913i
\(202\) −4.63648e6 + 8.03061e6i −0.562515 + 0.974304i
\(203\) 477468. + 275666.i 0.0570763 + 0.0329530i
\(204\) −1.71411e6 3.42082e6i −0.201906 0.402939i
\(205\) −6.77205e6 1.17295e7i −0.786066 1.36151i
\(206\) 5.23527e6i 0.598877i
\(207\) −1.03211e6 + 8.69337e6i −0.116363 + 0.980115i
\(208\) 898251. 0.0998178
\(209\) −9.65504e6 + 5.57434e6i −1.05758 + 0.610597i
\(210\) −340990. + 5.76440e6i −0.0368200 + 0.622438i
\(211\) 1.72915e6 2.99498e6i 0.184071 0.318821i −0.759192 0.650867i \(-0.774406\pi\)
0.943263 + 0.332046i \(0.107739\pi\)
\(212\) 5.47342e6 + 3.16008e6i 0.574448 + 0.331658i
\(213\) −7.38079e6 + 1.11998e7i −0.763772 + 1.15897i
\(214\) −754677. 1.30714e6i −0.0770052 0.133377i
\(215\) 2.64791e7i 2.66432i
\(216\) 3.50718e6 + 628264.i 0.348014 + 0.0623420i
\(217\) −1.21099e6 −0.118512
\(218\) −832629. + 480718.i −0.0803678 + 0.0464003i
\(219\) 8.61520e6 + 5.67752e6i 0.820225 + 0.540538i
\(220\) 7.70775e6 1.33502e7i 0.723868 1.25378i
\(221\) −3.36425e6 1.94235e6i −0.311681 0.179949i
\(222\) 6.33957e6 + 375013.i 0.579429 + 0.0342758i
\(223\) −3.78005e6 6.54724e6i −0.340865 0.590396i 0.643728 0.765254i \(-0.277387\pi\)
−0.984594 + 0.174858i \(0.944053\pi\)
\(224\) 1.20841e6i 0.107515i
\(225\) −7.51464e6 + 1.00557e7i −0.659722 + 0.882809i
\(226\) 1.08064e7 0.936173
\(227\) −4.44652e6 + 2.56720e6i −0.380139 + 0.219473i −0.677879 0.735174i \(-0.737101\pi\)
0.297740 + 0.954647i \(0.403767\pi\)
\(228\) 3.23982e6 1.62342e6i 0.273348 0.136970i
\(229\) −9.32792e6 + 1.61564e7i −0.776744 + 1.34536i 0.157064 + 0.987588i \(0.449797\pi\)
−0.933809 + 0.357772i \(0.883536\pi\)
\(230\) −1.06620e7 6.15573e6i −0.876308 0.505937i
\(231\) −6.70721e6 1.33854e7i −0.544134 1.08592i
\(232\) 239205. + 414315.i 0.0191560 + 0.0331792i
\(233\) 421669.i 0.0333352i 0.999861 + 0.0166676i \(0.00530571\pi\)
−0.999861 + 0.0166676i \(0.994694\pi\)
\(234\) 3.32418e6 1.42676e6i 0.259440 0.111353i
\(235\) −4.67081e6 −0.359905
\(236\) −1.00229e6 + 578671.i −0.0762529 + 0.0440246i
\(237\) −616479. + 1.04215e7i −0.0463098 + 0.782863i
\(238\) 2.61302e6 4.52589e6i 0.193826 0.335717i
\(239\) −1.93062e7 1.11465e7i −1.41418 0.816475i −0.418398 0.908264i \(-0.637408\pi\)
−0.995779 + 0.0917886i \(0.970742\pi\)
\(240\) −2.75723e6 + 4.18388e6i −0.199452 + 0.302653i
\(241\) −4.91596e6 8.51470e6i −0.351202 0.608300i 0.635258 0.772300i \(-0.280894\pi\)
−0.986460 + 0.164000i \(0.947560\pi\)
\(242\) 2.99473e7i 2.11306i
\(243\) 1.39770e7 3.24567e6i 0.974082 0.226196i
\(244\) −765908. −0.0527239
\(245\) 1.16348e7 6.71737e6i 0.791155 0.456774i
\(246\) −9.53092e6 6.28099e6i −0.640221 0.421913i
\(247\) 1.83958e6 3.18624e6i 0.122075 0.211441i
\(248\) −910036. 525409.i −0.0596628 0.0344463i
\(249\) −1.11945e7 662203.i −0.725113 0.0428936i
\(250\) −817614. 1.41615e6i −0.0523273 0.0906336i
\(251\) 1.55511e7i 0.983422i 0.870759 + 0.491711i \(0.163628\pi\)
−0.870759 + 0.491711i \(0.836372\pi\)
\(252\) 1.91940e6 + 4.47199e6i 0.119940 + 0.279447i
\(253\) 3.19207e7 1.97111
\(254\) 8.60572e6 4.96851e6i 0.525153 0.303197i
\(255\) 1.93738e7 9.70787e6i 1.16841 0.585468i
\(256\) −524288. + 908093.i −0.0312500 + 0.0541266i
\(257\) −1.84675e6 1.06622e6i −0.108795 0.0628128i 0.444615 0.895722i \(-0.353340\pi\)
−0.553410 + 0.832909i \(0.686674\pi\)
\(258\) −9.99706e6 1.99509e7i −0.582121 1.16173i
\(259\) 4.33699e6 + 7.51188e6i 0.249625 + 0.432364i
\(260\) 5.08725e6i 0.289443i
\(261\) 1.54332e6 + 1.15332e6i 0.0868028 + 0.0648676i
\(262\) 1.35570e7 0.753807
\(263\) −911256. + 526114.i −0.0500925 + 0.0289209i −0.524837 0.851203i \(-0.675874\pi\)
0.474745 + 0.880124i \(0.342540\pi\)
\(264\) 767168. 1.29689e7i 0.0416945 0.704841i
\(265\) −1.78971e7 + 3.09987e7i −0.961712 + 1.66573i
\(266\) 4.28642e6 + 2.47477e6i 0.227746 + 0.131489i
\(267\) 6.02689e6 9.14534e6i 0.316635 0.480470i
\(268\) 5.64927e6 + 9.78483e6i 0.293486 + 0.508333i
\(269\) 9.68762e6i 0.497692i −0.968543 0.248846i \(-0.919949\pi\)
0.968543 0.248846i \(-0.0800512\pi\)
\(270\) −3.55817e6 + 1.98629e7i −0.180774 + 1.00914i
\(271\) −2.05637e7 −1.03322 −0.516610 0.856221i \(-0.672806\pi\)
−0.516610 + 0.856221i \(0.672806\pi\)
\(272\) 3.92726e6 2.26741e6i 0.195157 0.112674i
\(273\) 4.12554e6 + 2.71878e6i 0.202765 + 0.133625i
\(274\) −3.77204e6 + 6.53336e6i −0.183368 + 0.317603i
\(275\) 3.96403e7 + 2.28864e7i 1.90607 + 1.10047i
\(276\) −1.03575e7 612692.i −0.492638 0.0291417i
\(277\) −1.00696e7 1.74411e7i −0.473776 0.820604i 0.525773 0.850625i \(-0.323776\pi\)
−0.999549 + 0.0300208i \(0.990443\pi\)
\(278\) 1.23182e7i 0.573339i
\(279\) −4.20234e6 498920.i −0.193499 0.0229730i
\(280\) −6.84382e6 −0.311763
\(281\) 1.75923e7 1.01569e7i 0.792873 0.457766i −0.0480998 0.998843i \(-0.515317\pi\)
0.840973 + 0.541077i \(0.181983\pi\)
\(282\) −3.51927e6 + 1.76345e6i −0.156930 + 0.0786348i
\(283\) −1.13075e7 + 1.95852e7i −0.498894 + 0.864110i −0.999999 0.00127619i \(-0.999594\pi\)
0.501105 + 0.865387i \(0.332927\pi\)
\(284\) −1.37672e7 7.94850e6i −0.601022 0.347000i
\(285\) 9.19423e6 + 1.83487e7i 0.397174 + 0.792632i
\(286\) −6.59501e6 1.14229e7i −0.281915 0.488290i
\(287\) 1.55903e7i 0.659491i
\(288\) −497855. + 4.19337e6i −0.0208413 + 0.175544i
\(289\) 4.52573e6 0.187497
\(290\) −2.34647e6 + 1.35474e6i −0.0962102 + 0.0555470i
\(291\) −568377. + 9.60836e6i −0.0230652 + 0.389915i
\(292\) −6.11422e6 + 1.05901e7i −0.245580 + 0.425357i
\(293\) −3.34647e6 1.93209e6i −0.133041 0.0768111i 0.432002 0.901872i \(-0.357807\pi\)
−0.565043 + 0.825061i \(0.691141\pi\)
\(294\) 6.23027e6 9.45396e6i 0.245169 0.372025i
\(295\) −3.27730e6 5.67646e6i −0.127659 0.221111i
\(296\) 7.52669e6i 0.290221i
\(297\) −1.77604e7 4.92129e7i −0.677926 1.87849i
\(298\) −2.18835e7 −0.826930
\(299\) −9.12281e6 + 5.26705e6i −0.341283 + 0.197040i
\(300\) −1.24230e7 8.18693e6i −0.460113 0.303220i
\(301\) 1.52397e7 2.63959e7i 0.558827 0.967916i
\(302\) 4.71164e6 + 2.72026e6i 0.171061 + 0.0987621i
\(303\) −4.41823e7 2.61358e6i −1.58826 0.0939523i
\(304\) 2.14744e6 + 3.71947e6i 0.0764363 + 0.132392i
\(305\) 4.33772e6i 0.152884i
\(306\) 1.09322e7 1.46290e7i 0.381544 0.510564i
\(307\) −3.02526e6 −0.104556 −0.0522779 0.998633i \(-0.516648\pi\)
−0.0522779 + 0.998633i \(0.516648\pi\)
\(308\) 1.53671e7 8.87221e6i 0.525945 0.303654i
\(309\) 2.23401e7 1.11942e7i 0.757198 0.379419i
\(310\) 2.97566e6 5.15399e6i 0.0998844 0.173005i
\(311\) 3.30190e7 + 1.90635e7i 1.09770 + 0.633755i 0.935615 0.353022i \(-0.114846\pi\)
0.162081 + 0.986777i \(0.448179\pi\)
\(312\) 1.92067e6 + 3.83304e6i 0.0632396 + 0.126206i
\(313\) 1.13148e7 + 1.95979e7i 0.368990 + 0.639110i 0.989408 0.145161i \(-0.0463702\pi\)
−0.620417 + 0.784272i \(0.713037\pi\)
\(314\) 9.00767e6i 0.290954i
\(315\) −2.53271e7 + 1.08705e7i −0.810315 + 0.347792i
\(316\) −1.23730e7 −0.392116
\(317\) −2.07004e7 + 1.19514e7i −0.649831 + 0.375180i −0.788392 0.615174i \(-0.789086\pi\)
0.138560 + 0.990354i \(0.455753\pi\)
\(318\) −1.78133e6 + 3.01133e7i −0.0553942 + 0.936433i
\(319\) 3.51251e6 6.08385e6i 0.108205 0.187416i
\(320\) −5.14299e6 2.96930e6i −0.156951 0.0906160i
\(321\) 3.96418e6 6.01535e6i 0.119850 0.181864i
\(322\) −7.08572e6 1.22728e7i −0.212235 0.367601i
\(323\) 1.85742e7i 0.551191i
\(324\) 4.81821e6 + 1.63093e7i 0.141661 + 0.479512i
\(325\) −1.51054e7 −0.440029
\(326\) −3.44045e6 + 1.98635e6i −0.0993031 + 0.0573327i
\(327\) −3.83169e6 2.52513e6i −0.109584 0.0722171i
\(328\) 6.76411e6 1.17158e7i 0.191685 0.332009i
\(329\) −4.65615e6 2.68823e6i −0.130749 0.0754881i
\(330\) 7.34493e7 + 4.34485e6i 2.04384 + 0.120902i
\(331\) 1.41912e7 + 2.45799e7i 0.391324 + 0.677792i 0.992624 0.121230i \(-0.0386840\pi\)
−0.601301 + 0.799023i \(0.705351\pi\)
\(332\) 1.32907e7i 0.363190i
\(333\) 1.19552e7 + 2.78542e7i 0.323761 + 0.754325i
\(334\) 2.14111e7 0.574645
\(335\) −5.54164e7 + 3.19946e7i −1.47402 + 0.851026i
\(336\) −5.15655e6 + 2.58386e6i −0.135938 + 0.0681163i
\(337\) 1.56151e7 2.70461e7i 0.407994 0.706666i −0.586671 0.809825i \(-0.699562\pi\)
0.994665 + 0.103159i \(0.0328951\pi\)
\(338\) −1.98768e7 1.14759e7i −0.514750 0.297191i
\(339\) 2.31066e7 + 4.61134e7i 0.593113 + 1.18366i
\(340\) 1.28414e7 + 2.22420e7i 0.326721 + 0.565898i
\(341\) 1.54303e7i 0.389146i
\(342\) 1.38550e7 + 1.03538e7i 0.346360 + 0.258834i
\(343\) 4.00074e7 0.991420
\(344\) 2.29046e7 1.32240e7i 0.562663 0.324853i
\(345\) 3.46998e6 5.86597e7i 0.0845026 1.42851i
\(346\) −1.23685e7 + 2.14229e7i −0.298599 + 0.517189i
\(347\) −1.73955e7 1.00433e7i −0.416340 0.240374i 0.277170 0.960821i \(-0.410603\pi\)
−0.693510 + 0.720447i \(0.743937\pi\)
\(348\) −1.25650e6 + 1.90664e6i −0.0298143 + 0.0452409i
\(349\) 1.84002e7 + 3.18701e7i 0.432859 + 0.749733i 0.997118 0.0758644i \(-0.0241716\pi\)
−0.564260 + 0.825597i \(0.690838\pi\)
\(350\) 2.03211e7i 0.473962i
\(351\) 1.31962e7 + 1.11343e7i 0.305159 + 0.257479i
\(352\) 1.53974e7 0.353037
\(353\) −2.05019e7 + 1.18368e7i −0.466089 + 0.269097i −0.714601 0.699532i \(-0.753392\pi\)
0.248512 + 0.968629i \(0.420058\pi\)
\(354\) −4.61244e6 3.03966e6i −0.103973 0.0685196i
\(355\) 4.50163e7 7.79705e7i 1.00620 1.74279i
\(356\) 1.12418e7 + 6.49046e6i 0.249165 + 0.143855i
\(357\) 2.49002e7 + 1.47296e6i 0.547266 + 0.0323732i
\(358\) 139408. + 241462.i 0.00303836 + 0.00526259i
\(359\) 3.67159e7i 0.793544i 0.917917 + 0.396772i \(0.129870\pi\)
−0.917917 + 0.396772i \(0.870130\pi\)
\(360\) −2.37491e7 2.81960e6i −0.509027 0.0604338i
\(361\) −2.94545e7 −0.626079
\(362\) 2.21534e7 1.27903e7i 0.466999 0.269622i
\(363\) −1.27792e8 + 6.40343e7i −2.67167 + 1.33873i
\(364\) −2.92790e6 + 5.07128e6i −0.0607089 + 0.105151i
\(365\) −5.99773e7 3.46279e7i −1.23341 0.712111i
\(366\) −1.63769e6 3.26830e6i −0.0334032 0.0666621i
\(367\) −4.15020e7 7.18836e7i −0.839597 1.45422i −0.890232 0.455507i \(-0.849458\pi\)
0.0506351 0.998717i \(-0.483875\pi\)
\(368\) 1.22970e7i 0.246750i
\(369\) 6.42308e6 5.41008e7i 0.127839 1.07677i
\(370\) −4.26274e7 −0.841558
\(371\) −3.56819e7 + 2.06009e7i −0.698756 + 0.403427i
\(372\) 296173. 5.00677e6i 0.00575329 0.0972589i
\(373\) 3.06825e7 5.31436e7i 0.591241 1.02406i −0.402825 0.915277i \(-0.631972\pi\)
0.994066 0.108782i \(-0.0346950\pi\)
\(374\) −5.76684e7 3.32948e7i −1.10236 0.636447i
\(375\) 4.29478e6 6.51700e6i 0.0814418 0.123582i
\(376\) −2.33266e6 4.04029e6i −0.0438822 0.0760062i
\(377\) 2.31832e6i 0.0432662i
\(378\) −1.49789e7 + 1.77527e7i −0.277334 + 0.328691i
\(379\) 8.94442e6 0.164299 0.0821495 0.996620i \(-0.473822\pi\)
0.0821495 + 0.996620i \(0.473822\pi\)
\(380\) −2.10652e7 + 1.21620e7i −0.383897 + 0.221643i
\(381\) 3.96028e7 + 2.60987e7i 0.716062 + 0.471894i
\(382\) −3.52173e6 + 6.09982e6i −0.0631781 + 0.109428i
\(383\) 7.60170e7 + 4.38884e7i 1.35305 + 0.781184i 0.988676 0.150068i \(-0.0479492\pi\)
0.364375 + 0.931252i \(0.381283\pi\)
\(384\) −4.99609e6 295541.i −0.0882341 0.00521944i
\(385\) 5.02477e7 + 8.70317e7i 0.880510 + 1.52509i
\(386\) 6.19619e7i 1.07737i
\(387\) 6.37591e7 8.53195e7i 1.10004 1.47203i
\(388\) −1.14076e7 −0.195298
\(389\) 8.09387e7 4.67300e7i 1.37501 0.793865i 0.383460 0.923558i \(-0.374732\pi\)
0.991554 + 0.129693i \(0.0413991\pi\)
\(390\) −2.17084e7 + 1.08777e7i −0.365961 + 0.183376i
\(391\) −2.65907e7 + 4.60564e7i −0.444835 + 0.770477i
\(392\) 1.16212e7 + 6.70949e6i 0.192927 + 0.111386i
\(393\) 2.89880e7 + 5.78508e7i 0.477574 + 0.953086i
\(394\) −3.05215e7 5.28648e7i −0.499019 0.864326i
\(395\) 7.00746e7i 1.13702i
\(396\) 5.69816e7 2.44568e7i 0.917591 0.393835i
\(397\) −1.21583e8 −1.94313 −0.971566 0.236767i \(-0.923912\pi\)
−0.971566 + 0.236767i \(0.923912\pi\)
\(398\) −2.47863e7 + 1.43104e7i −0.393153 + 0.226987i
\(399\) −1.39502e6 + 2.35828e7i −0.0219616 + 0.371258i
\(400\) 8.81665e6 1.52709e7i 0.137760 0.238608i
\(401\) 1.85999e7 + 1.07387e7i 0.288455 + 0.166540i 0.637245 0.770661i \(-0.280074\pi\)
−0.348790 + 0.937201i \(0.613407\pi\)
\(402\) −2.96746e7 + 4.50289e7i −0.456780 + 0.693128i
\(403\) −2.54607e6 4.40993e6i −0.0389005 0.0673777i
\(404\) 5.24557e7i 0.795516i
\(405\) −9.23676e7 + 2.72879e7i −1.39045 + 0.410776i
\(406\) −3.11881e6 −0.0466026
\(407\) 9.57156e7 5.52614e7i 1.41971 0.819670i
\(408\) 1.80729e7 + 1.19103e7i 0.266102 + 0.175364i
\(409\) −5.80930e7 + 1.00620e8i −0.849090 + 1.47067i 0.0329322 + 0.999458i \(0.489515\pi\)
−0.882022 + 0.471209i \(0.843818\pi\)
\(410\) 6.63523e7 + 3.83085e7i 0.962730 + 0.555832i
\(411\) −3.59448e7 2.12629e6i −0.517739 0.0306265i
\(412\) 1.48076e7 + 2.56475e7i 0.211735 + 0.366736i
\(413\) 7.54485e6i 0.107103i
\(414\) −1.95323e7 4.55079e7i −0.275265 0.641336i
\(415\) 7.52720e7 1.05315
\(416\) −4.40051e6 + 2.54064e6i −0.0611256 + 0.0352909i
\(417\) 5.25644e7 2.63391e7i 0.724909 0.363239i
\(418\) 3.15332e7 5.46172e7i 0.431757 0.747825i
\(419\) 2.73269e7 + 1.57772e7i 0.371492 + 0.214481i 0.674110 0.738631i \(-0.264527\pi\)
−0.302618 + 0.953112i \(0.597861\pi\)
\(420\) −1.46337e7 2.92041e7i −0.197518 0.394182i
\(421\) 7.50313e6 + 1.29958e7i 0.100553 + 0.174163i 0.911913 0.410384i \(-0.134605\pi\)
−0.811359 + 0.584548i \(0.801272\pi\)
\(422\) 1.95631e7i 0.260316i
\(423\) −1.50500e7 1.12469e7i −0.198846 0.148597i
\(424\) −3.57522e7 −0.469035
\(425\) −6.60425e7 + 3.81297e7i −0.860314 + 0.496702i
\(426\) 4.48056e6 7.57435e7i 0.0579567 0.979753i
\(427\) 2.49652e6 4.32411e6i 0.0320665 0.0555409i
\(428\) 7.39430e6 + 4.26910e6i 0.0943117 + 0.0544509i
\(429\) 3.46424e7 5.25672e7i 0.438769 0.665799i
\(430\) 7.48941e7 + 1.29720e8i 0.941981 + 1.63156i
\(431\) 6.49322e7i 0.811014i 0.914092 + 0.405507i \(0.132905\pi\)
−0.914092 + 0.405507i \(0.867095\pi\)
\(432\) −1.89586e7 + 6.84194e6i −0.235155 + 0.0848648i
\(433\) 8.31669e7 1.02444 0.512220 0.858854i \(-0.328823\pi\)
0.512220 + 0.858854i \(0.328823\pi\)
\(434\) 5.93263e6 3.42521e6i 0.0725735 0.0419003i
\(435\) −1.07983e7 7.11618e6i −0.131186 0.0864528i
\(436\) 2.71935e6 4.71006e6i 0.0328100 0.0568286i
\(437\) −4.36195e7 2.51838e7i −0.522681 0.301770i
\(438\) −5.82641e7 3.44658e6i −0.693392 0.0410172i
\(439\) −1.63576e7 2.83321e7i −0.193341 0.334877i 0.753014 0.658004i \(-0.228599\pi\)
−0.946356 + 0.323127i \(0.895266\pi\)
\(440\) 8.72032e7i 1.02370i
\(441\) 5.36640e7 + 6.37122e6i 0.625701 + 0.0742859i
\(442\) 2.19752e7 0.254487
\(443\) 9.29959e7 5.36912e7i 1.06968 0.617578i 0.141584 0.989926i \(-0.454781\pi\)
0.928093 + 0.372348i \(0.121447\pi\)
\(444\) −3.21181e7 + 1.60938e7i −0.366945 + 0.183870i
\(445\) −3.67587e7 + 6.36680e7i −0.417139 + 0.722505i
\(446\) 3.70368e7 + 2.13832e7i 0.417473 + 0.241028i
\(447\) −4.67921e7 9.33819e7i −0.523901 1.04554i
\(448\) −3.41790e6 5.91997e6i −0.0380124 0.0658393i
\(449\) 3.79594e7i 0.419354i 0.977771 + 0.209677i \(0.0672413\pi\)
−0.977771 + 0.209677i \(0.932759\pi\)
\(450\) 8.37214e6 7.05175e7i 0.0918753 0.773855i
\(451\) −1.98650e8 −2.16550
\(452\) −5.29404e7 + 3.05651e7i −0.573286 + 0.330987i
\(453\) −1.53341e6 + 2.59222e7i −0.0164954 + 0.278854i
\(454\) 1.45223e7 2.51533e7i 0.155191 0.268799i
\(455\) −2.87212e7 1.65822e7i −0.304907 0.176038i
\(456\) −1.12801e7 + 1.71167e7i −0.118965 + 0.180520i
\(457\) −1.27236e7 2.20379e7i −0.133309 0.230898i 0.791641 0.610986i \(-0.209227\pi\)
−0.924950 + 0.380088i \(0.875894\pi\)
\(458\) 1.05533e8i 1.09848i
\(459\) 8.58009e7 + 1.53701e7i 0.887266 + 0.158942i
\(460\) 6.96442e7 0.715503
\(461\) 5.64160e7 3.25718e7i 0.575837 0.332460i −0.183640 0.982994i \(-0.558788\pi\)
0.759477 + 0.650534i \(0.225455\pi\)
\(462\) 7.07182e7 + 4.66041e7i 0.717142 + 0.472605i
\(463\) −1.44914e7 + 2.50999e7i −0.146005 + 0.252888i −0.929747 0.368198i \(-0.879975\pi\)
0.783742 + 0.621086i \(0.213308\pi\)
\(464\) −2.34372e6 1.35315e6i −0.0234613 0.0135454i
\(465\) 2.83559e7 + 1.67737e6i 0.282023 + 0.0166829i
\(466\) −1.19266e6 2.06575e6i −0.0117858 0.0204136i
\(467\) 6.09985e7i 0.598919i 0.954109 + 0.299460i \(0.0968064\pi\)
−0.954109 + 0.299460i \(0.903194\pi\)
\(468\) −1.22496e7 + 1.63919e7i −0.119505 + 0.159916i
\(469\) −7.36566e7 −0.713991
\(470\) 2.28822e7 1.32110e7i 0.220396 0.127246i
\(471\) −3.84378e7 + 1.92605e7i −0.367871 + 0.184334i
\(472\) 3.27346e6 5.66980e6i 0.0311301 0.0539190i
\(473\) −3.36334e8 1.94183e8i −3.17825 1.83496i
\(474\) −2.64564e7 5.27985e7i −0.248425 0.495777i
\(475\) −3.61122e7 6.25482e7i −0.336956 0.583626i
\(476\) 2.95630e7i 0.274111i
\(477\) −1.32309e8 + 5.67878e7i −1.21909 + 0.523239i
\(478\) 1.26108e8 1.15467
\(479\) −8.59855e7 + 4.96437e7i −0.782381 + 0.451708i −0.837274 0.546784i \(-0.815852\pi\)
0.0548922 + 0.998492i \(0.482518\pi\)
\(480\) 1.67379e6 2.82953e7i 0.0151349 0.255853i
\(481\) −1.82367e7 + 3.15870e7i −0.163875 + 0.283839i
\(482\) 4.81664e7 + 2.78089e7i 0.430133 + 0.248338i
\(483\) 3.72200e7 5.64785e7i 0.330320 0.501235i
\(484\) −8.47038e7 1.46711e8i −0.747079 1.29398i
\(485\) 6.46069e7i 0.566309i
\(486\) −5.92929e7 + 5.54334e7i −0.516528 + 0.482906i
\(487\) 1.05049e8 0.909504 0.454752 0.890618i \(-0.349728\pi\)
0.454752 + 0.890618i \(0.349728\pi\)
\(488\) 3.75217e6 2.16632e6i 0.0322866 0.0186407i
\(489\) −1.58327e7 1.04339e7i −0.135403 0.0892321i
\(490\) −3.79992e7 + 6.58165e7i −0.322988 + 0.559431i
\(491\) 1.64341e8 + 9.48823e7i 1.38836 + 0.801569i 0.993130 0.117014i \(-0.0373323\pi\)
0.395228 + 0.918583i \(0.370666\pi\)
\(492\) 6.44571e7 + 3.81292e6i 0.541222 + 0.0320157i
\(493\) 5.85199e6 + 1.01360e7i 0.0488386 + 0.0845909i
\(494\) 2.08125e7i 0.172640i
\(495\) 1.38511e8 + 3.22715e8i 1.14201 + 2.66075i
\(496\) 5.94433e6 0.0487144
\(497\) 8.97500e7 5.18172e7i 0.731081 0.422090i
\(498\) 5.67145e7 2.84186e7i 0.459204 0.230099i
\(499\) 1.01002e8 1.74941e8i 0.812887 1.40796i −0.0979477 0.995192i \(-0.531228\pi\)
0.910835 0.412771i \(-0.135439\pi\)
\(500\) 8.01095e6 + 4.62512e6i 0.0640876 + 0.0370010i
\(501\) 4.57819e7 + 9.13660e7i 0.364066 + 0.726560i
\(502\) −4.39851e7 7.61845e7i −0.347692 0.602220i
\(503\) 1.88347e8i 1.47998i −0.672619 0.739989i \(-0.734831\pi\)
0.672619 0.739989i \(-0.265169\pi\)
\(504\) −2.20518e7 1.64793e7i −0.172247 0.128720i
\(505\) 2.97083e8 2.30677
\(506\) −1.56379e8 + 9.02854e7i −1.20705 + 0.696893i
\(507\) 6.46894e6 1.09357e8i 0.0496374 0.839116i
\(508\) −2.81062e7 + 4.86813e7i −0.214393 + 0.371339i
\(509\) 1.43572e8 + 8.28912e7i 1.08872 + 0.628572i 0.933235 0.359266i \(-0.116973\pi\)
0.155484 + 0.987838i \(0.450306\pi\)
\(510\) −6.74538e7 + 1.02356e8i −0.508506 + 0.771619i
\(511\) −3.98593e7 6.90384e7i −0.298722 0.517402i
\(512\) 5.93164e6i 0.0441942i
\(513\) −1.45569e7 + 8.12612e7i −0.107824 + 0.601909i
\(514\) 1.20629e7 0.0888307
\(515\) −1.45255e8 + 8.38628e7i −1.06343 + 0.613971i
\(516\) 1.05405e8 + 6.94633e7i 0.767208 + 0.505599i
\(517\) −3.42531e7 + 5.93281e7i −0.247873 + 0.429328i
\(518\) −4.24936e7 2.45337e7i −0.305728 0.176512i
\(519\) −1.17863e8 6.97211e6i −0.843092 0.0498726i
\(520\) −1.43889e7 2.49223e7i −0.102333 0.177247i
\(521\) 2.76446e8i 1.95478i 0.211451 + 0.977389i \(0.432181\pi\)
−0.211451 + 0.977389i \(0.567819\pi\)
\(522\) −1.08228e7 1.28492e6i −0.0760898 0.00903370i
\(523\) 8.78008e7 0.613753 0.306876 0.951749i \(-0.400716\pi\)
0.306876 + 0.951749i \(0.400716\pi\)
\(524\) −6.64155e7 + 3.83450e7i −0.461611 + 0.266511i
\(525\) 8.67148e7 4.34513e7i 0.599260 0.300279i
\(526\) 2.97615e6 5.15484e6i 0.0204502 0.0354208i
\(527\) −2.22635e7 1.28538e7i −0.152111 0.0878214i
\(528\) 3.29232e7 + 6.57042e7i 0.223666 + 0.446367i
\(529\) −1.91221e6 3.31204e6i −0.0129172 0.0223732i
\(530\) 2.02483e8i 1.36007i
\(531\) 3.10842e6 2.61818e7i 0.0207614 0.174870i
\(532\) −2.79988e7 −0.185954
\(533\) 5.67733e7 3.27781e7i 0.374941 0.216472i
\(534\) −3.65867e6 + 6.18495e7i −0.0240270 + 0.406174i
\(535\) −2.41780e7 + 4.18776e7i −0.157892 + 0.273477i
\(536\) −5.53513e7 3.19571e7i −0.359446 0.207526i
\(537\) −732285. + 1.11119e6i −0.00472887 + 0.00717570i
\(538\) 2.74007e7 + 4.74595e7i 0.175961 + 0.304773i
\(539\) 1.97046e8i 1.25835i
\(540\) −3.87493e7 1.07372e8i −0.246084 0.681882i
\(541\) −1.60020e8 −1.01061 −0.505305 0.862941i \(-0.668620\pi\)
−0.505305 + 0.862941i \(0.668620\pi\)
\(542\) 1.00741e8 5.81629e7i 0.632716 0.365299i
\(543\) 1.01948e8 + 6.71851e7i 0.636767 + 0.419637i
\(544\) −1.28264e7 + 2.22159e7i −0.0796723 + 0.137996i
\(545\) 2.66754e7 + 1.54011e7i 0.164787 + 0.0951395i
\(546\) −2.79008e7 1.65046e6i −0.171411 0.0101397i
\(547\) 1.10308e7 + 1.91059e7i 0.0673977 + 0.116736i 0.897755 0.440495i \(-0.145197\pi\)
−0.830357 + 0.557231i \(0.811864\pi\)
\(548\) 4.26757e7i 0.259322i
\(549\) 1.04448e7 1.39768e7i 0.0631225 0.0844676i
\(550\) −2.58930e8 −1.55630
\(551\) −9.59966e6 + 5.54237e6i −0.0573854 + 0.0331315i
\(552\) 5.24742e7 2.62939e7i 0.311981 0.156328i
\(553\) 4.03306e7 6.98546e7i 0.238484 0.413066i
\(554\) 9.86615e7 + 5.69623e7i 0.580255 + 0.335010i
\(555\) −9.11473e7 1.81901e8i −0.533169 1.06403i
\(556\) 3.48410e7 + 6.03464e7i 0.202706 + 0.351097i
\(557\) 1.71224e8i 0.990830i 0.868657 + 0.495415i \(0.164984\pi\)
−0.868657 + 0.495415i \(0.835016\pi\)
\(558\) 2.19983e7 9.44181e6i 0.126616 0.0543441i
\(559\) 1.28164e8 0.733720
\(560\) 3.35277e7 1.93573e7i 0.190915 0.110225i
\(561\) 1.87683e7 3.17276e8i 0.106301 1.79700i
\(562\) −5.74562e7 + 9.95171e7i −0.323689 + 0.560646i
\(563\) −1.92436e8 1.11103e8i −1.07835 0.622586i −0.147900 0.989002i \(-0.547251\pi\)
−0.930451 + 0.366416i \(0.880585\pi\)
\(564\) 1.22531e7 1.85931e7i 0.0682979 0.103637i
\(565\) −1.73106e8 2.99828e8i −0.959767 1.66237i
\(566\) 1.27930e8i 0.705543i
\(567\) −1.07783e8 2.59588e7i −0.591290 0.142408i
\(568\) 8.99270e7 0.490733
\(569\) −2.25736e8 + 1.30329e8i −1.22536 + 0.707461i −0.966056 0.258335i \(-0.916826\pi\)
−0.259303 + 0.965796i \(0.583493\pi\)
\(570\) −9.69404e7 6.38848e7i −0.523456 0.344964i
\(571\) −6.09463e7 + 1.05562e8i −0.327370 + 0.567022i −0.981989 0.188937i \(-0.939496\pi\)
0.654619 + 0.755959i \(0.272829\pi\)
\(572\) 6.46177e7 + 3.73070e7i 0.345274 + 0.199344i
\(573\) −3.35596e7 1.98520e6i −0.178383 0.0105521i
\(574\) 4.40960e7 + 7.63766e7i 0.233165 + 0.403854i
\(575\) 2.06792e8i 1.08775i
\(576\) −9.42166e6 2.19514e7i −0.0493015 0.114867i
\(577\) 1.22005e8 0.635111 0.317555 0.948240i \(-0.397138\pi\)
0.317555 + 0.948240i \(0.397138\pi\)
\(578\) −2.21715e7 + 1.28007e7i −0.114818 + 0.0662903i
\(579\) −2.64406e8 + 1.32489e8i −1.36218 + 0.682565i
\(580\) 7.66354e6 1.32736e7i 0.0392777 0.0680309i
\(581\) 7.50357e7 + 4.33219e7i 0.382595 + 0.220891i
\(582\) −2.43921e7 4.86788e7i −0.123731 0.246928i
\(583\) 2.62495e8 + 4.54654e8i 1.32469 + 2.29444i
\(584\) 6.91745e7i 0.347302i
\(585\) −9.28353e7 6.93757e7i −0.463709 0.346529i
\(586\) 2.18591e7 0.108627
\(587\) −1.15748e8 + 6.68273e7i −0.572269 + 0.330400i −0.758055 0.652191i \(-0.773850\pi\)
0.185786 + 0.982590i \(0.440517\pi\)
\(588\) −3.78214e6 + 6.39366e7i −0.0186039 + 0.314498i
\(589\) 1.21737e7 2.10855e7i 0.0595768 0.103190i
\(590\) 3.21109e7 + 1.85392e7i 0.156349 + 0.0902684i
\(591\) 1.60324e8 2.43279e8i 0.776668 1.17853i
\(592\) −2.12887e7 3.68731e7i −0.102609 0.177723i
\(593\) 1.98748e7i 0.0953100i 0.998864 + 0.0476550i \(0.0151748\pi\)
−0.998864 + 0.0476550i \(0.984825\pi\)
\(594\) 2.26203e8 + 1.90859e8i 1.07929 + 0.910653i
\(595\) −1.67430e8 −0.794844
\(596\) 1.07207e8 6.18960e7i 0.506389 0.292364i
\(597\) −1.14064e8 7.51697e7i −0.536077 0.353281i
\(598\) 2.97950e7 5.16064e7i 0.139328 0.241324i
\(599\) 3.37964e8 + 1.95123e8i 1.57250 + 0.907881i 0.995862 + 0.0908789i \(0.0289676\pi\)
0.576634 + 0.817002i \(0.304366\pi\)
\(600\) 8.40164e7 + 4.96994e6i 0.388965 + 0.0230090i
\(601\) −7.89071e7 1.36671e8i −0.363490 0.629583i 0.625043 0.780591i \(-0.285082\pi\)
−0.988533 + 0.151007i \(0.951748\pi\)
\(602\) 1.72418e8i 0.790300i
\(603\) −2.55600e8 3.03459e7i −1.16576 0.138404i
\(604\) −3.07763e7 −0.139671
\(605\) 8.30899e8 4.79720e8i 3.75217 2.16631i
\(606\) 2.23840e8 1.12163e8i 1.00582 0.503999i
\(607\) −1.74295e8 + 3.01887e8i −0.779325 + 1.34983i 0.153007 + 0.988225i \(0.451104\pi\)
−0.932332 + 0.361605i \(0.882229\pi\)
\(608\) −2.10405e7 1.21477e7i −0.0936150 0.0540486i
\(609\) −6.66873e6 1.33087e7i −0.0295251 0.0589227i
\(610\) 1.22689e7 + 2.12504e7i 0.0540527 + 0.0936219i
\(611\) 2.26076e7i 0.0991132i
\(612\) −1.21797e7 + 1.02588e8i −0.0531352 + 0.447551i
\(613\) 1.41726e7 0.0615273 0.0307636 0.999527i \(-0.490206\pi\)
0.0307636 + 0.999527i \(0.490206\pi\)
\(614\) 1.48207e7 8.55674e6i 0.0640271 0.0369661i
\(615\) −2.15945e7 + 3.65053e8i −0.0928362 + 1.56939i
\(616\) −5.01888e7 + 8.69295e7i −0.214716 + 0.371899i
\(617\) −1.81599e8 1.04846e8i −0.773140 0.446373i 0.0608535 0.998147i \(-0.480618\pi\)
−0.833994 + 0.551774i \(0.813951\pi\)
\(618\) −7.77816e7 + 1.18028e8i −0.329542 + 0.500056i
\(619\) 8.36020e7 + 1.44803e8i 0.352488 + 0.610528i 0.986685 0.162644i \(-0.0520023\pi\)
−0.634196 + 0.773172i \(0.718669\pi\)
\(620\) 3.36657e7i 0.141258i
\(621\) 1.52428e8 1.80655e8i 0.636487 0.754354i
\(622\) −2.15679e8 −0.896265
\(623\) −7.32867e7 + 4.23121e7i −0.303083 + 0.174985i
\(624\) −2.02508e7 1.33455e7i −0.0833467 0.0549265i
\(625\) 1.08337e8 1.87645e8i 0.443749 0.768595i
\(626\) −1.10862e8 6.40064e7i −0.451919 0.260916i
\(627\) 3.00489e8 + 1.77753e7i 1.21906 + 0.0721129i
\(628\) −2.54775e7 4.41284e7i −0.102868 0.178172i
\(629\) 1.84136e8i 0.739923i
\(630\) 9.33304e7 1.24890e8i 0.373252 0.499468i
\(631\) −3.36933e8 −1.34108 −0.670541 0.741872i \(-0.733938\pi\)
−0.670541 + 0.741872i \(0.733938\pi\)
\(632\) 6.06152e7 3.49962e7i 0.240121 0.138634i
\(633\) −8.34804e7 + 4.18305e7i −0.329134 + 0.164923i
\(634\) 6.76072e7 1.17099e8i 0.265293 0.459500i
\(635\) −2.75706e8 1.59179e8i −1.07678 0.621677i
\(636\) −7.64465e7 1.52563e8i −0.297157 0.593031i
\(637\) 3.25134e7 + 5.63149e7i 0.125789 + 0.217874i
\(638\) 3.97395e7i 0.153024i
\(639\) 3.32795e8 1.42838e8i 1.27548 0.547444i
\(640\) 3.35938e7 0.128150
\(641\) −8.63536e7 + 4.98563e7i −0.327873 + 0.189298i −0.654897 0.755719i \(-0.727288\pi\)
0.327023 + 0.945016i \(0.393954\pi\)
\(642\) −2.40649e6 + 4.06815e7i −0.00909450 + 0.153742i
\(643\) 1.34692e8 2.33294e8i 0.506652 0.877547i −0.493318 0.869849i \(-0.664216\pi\)
0.999970 0.00769844i \(-0.00245051\pi\)
\(644\) 6.94256e7 + 4.00829e7i 0.259933 + 0.150073i
\(645\) −3.93405e8 + 5.96962e8i −1.46609 + 2.22468i
\(646\) 5.25357e7 + 9.09945e7i 0.194875 + 0.337534i
\(647\) 7.78039e7i 0.287269i −0.989631 0.143634i \(-0.954121\pi\)
0.989631 0.143634i \(-0.0458790\pi\)
\(648\) −6.97339e7 6.62709e7i −0.256283 0.243555i
\(649\) −9.61357e7 −0.351682
\(650\) 7.40010e7 4.27245e7i 0.269462 0.155574i
\(651\) 2.73015e7 + 1.79920e7i 0.0989562 + 0.0652133i
\(652\) 1.12365e7 1.94621e7i 0.0405403 0.0702179i
\(653\) 1.95063e8 + 1.12620e8i 0.700543 + 0.404459i 0.807550 0.589800i \(-0.200793\pi\)
−0.107007 + 0.994258i \(0.534127\pi\)
\(654\) 2.59135e7 + 1.53290e6i 0.0926387 + 0.00547999i
\(655\) −2.17167e8 3.76144e8i −0.772805 1.33854i
\(656\) 7.65272e7i 0.271084i
\(657\) −1.09875e8 2.55996e8i −0.387438 0.902686i
\(658\) 3.04138e7 0.106756
\(659\) −1.98537e8 + 1.14625e8i −0.693722 + 0.400521i −0.805005 0.593268i \(-0.797837\pi\)
0.111283 + 0.993789i \(0.464504\pi\)
\(660\) −3.72116e8 + 1.86461e8i −1.29433 + 0.648568i
\(661\) 1.05495e8 1.82722e8i 0.365280 0.632684i −0.623541 0.781791i \(-0.714306\pi\)
0.988821 + 0.149107i \(0.0476398\pi\)
\(662\) −1.39045e8 8.02777e7i −0.479272 0.276708i
\(663\) 4.69880e7 + 9.37730e7i 0.161230 + 0.321764i
\(664\) 3.75918e7 + 6.51109e7i 0.128407 + 0.222408i
\(665\) 1.58571e8i 0.539212i
\(666\) −1.37352e8 1.02643e8i −0.464956 0.347461i
\(667\) 3.17376e7 0.106954
\(668\) −1.04893e8 + 6.05597e7i −0.351897 + 0.203168i
\(669\) −1.20537e7 + 2.03766e8i −0.0402570 + 0.680541i
\(670\) 1.80989e8 3.13482e8i 0.601766 1.04229i
\(671\) −5.50973e7 3.18104e7i −0.182374 0.105294i
\(672\) 1.79536e7 2.72432e7i 0.0591621 0.0897740i
\(673\) 2.87715e8 + 4.98336e8i 0.943880 + 1.63485i 0.757978 + 0.652280i \(0.226187\pi\)
0.185901 + 0.982568i \(0.440479\pi\)
\(674\) 1.76664e8i 0.576991i
\(675\) 3.18816e8 1.15057e8i 1.03664 0.374112i
\(676\) 1.29835e8 0.420291
\(677\) −3.05834e8 + 1.76573e8i −0.985644 + 0.569062i −0.903969 0.427597i \(-0.859360\pi\)
−0.0816747 + 0.996659i \(0.526027\pi\)
\(678\) −2.43627e8 1.60553e8i −0.781694 0.515145i
\(679\) 3.71837e7 6.44041e7i 0.118780 0.205733i
\(680\) −1.25820e8 7.26422e7i −0.400150 0.231027i
\(681\) 1.38387e8 + 8.18619e6i 0.438181 + 0.0259203i
\(682\) −4.36436e7 7.55930e7i −0.137584 0.238302i
\(683\) 4.65139e8i 1.45989i −0.683506 0.729945i \(-0.739546\pi\)
0.683506 0.729945i \(-0.260454\pi\)
\(684\) −9.71603e7 1.15353e7i −0.303613 0.0360462i
\(685\) 2.41694e8 0.751959
\(686\) −1.95995e8 + 1.13158e8i −0.607119 + 0.350520i
\(687\) 4.50334e8 2.25655e8i 1.38888 0.695944i
\(688\) −7.48062e7 + 1.29568e8i −0.229706 + 0.397862i
\(689\) −1.50040e8 8.66255e7i −0.458721 0.264843i
\(690\) 1.48915e8 + 2.97187e8i 0.453307 + 0.904655i
\(691\) 5.96318e7 + 1.03285e8i 0.180736 + 0.313043i 0.942131 0.335244i \(-0.108819\pi\)
−0.761396 + 0.648288i \(0.775485\pi\)
\(692\) 1.39934e8i 0.422283i
\(693\) −4.76584e7 + 4.01421e8i −0.143199 + 1.20615i
\(694\) 1.13627e8 0.339941
\(695\) −3.41772e8 + 1.97322e8i −1.01808 + 0.587789i
\(696\) 762767. 1.28945e7i 0.00226237 0.0382452i
\(697\) 1.65480e8 2.86619e8i 0.488705 0.846461i
\(698\) −1.80284e8 1.04087e8i −0.530141 0.306077i
\(699\) 6.26482e6 9.50639e6i 0.0183433 0.0278345i
\(700\) 5.74768e7 + 9.95528e7i 0.167571 + 0.290241i
\(701\) 3.55114e8i 1.03089i −0.856921 0.515447i \(-0.827626\pi\)
0.856921 0.515447i \(-0.172374\pi\)
\(702\) −9.61403e7 1.72223e7i −0.277904 0.0497827i
\(703\) −1.74393e8 −0.501954
\(704\) −7.54316e7 + 4.35505e7i −0.216190 + 0.124817i
\(705\) 1.05302e8 + 6.93952e7i 0.300517 + 0.198044i
\(706\) 6.69588e7 1.15976e8i 0.190280 0.329575i
\(707\) 2.96151e8 + 1.70983e8i 0.838020 + 0.483831i
\(708\) 3.11937e7 + 1.84525e6i 0.0878956 + 0.00519942i
\(709\) −3.01326e8 5.21912e8i −0.845470 1.46440i −0.885212 0.465187i \(-0.845987\pi\)
0.0397425 0.999210i \(-0.487346\pi\)
\(710\) 5.09301e8i 1.42298i
\(711\) 1.68733e8 2.25791e8i 0.469452 0.628199i
\(712\) −7.34312e7 −0.203442
\(713\) −6.03717e7 + 3.48556e7i −0.166558 + 0.0961621i
\(714\) −1.26152e8 + 6.32125e7i −0.346576 + 0.173663i
\(715\) −2.11288e8 + 3.65962e8i −0.578039 + 1.00119i
\(716\) −1.36591e6 788611.i −0.00372121 0.00214844i
\(717\) 2.69648e8 + 5.38130e8i 0.731542 + 1.45992i
\(718\) −1.03848e8 1.79871e8i −0.280560 0.485944i
\(719\) 3.36046e8i 0.904092i −0.891995 0.452046i \(-0.850694\pi\)
0.891995 0.452046i \(-0.149306\pi\)
\(720\) 1.24322e8 5.33596e7i 0.333080 0.142960i
\(721\) −1.93065e8 −0.515107
\(722\) 1.44297e8 8.33098e7i 0.383394 0.221352i
\(723\) −1.56758e7 + 2.64999e8i −0.0414778 + 0.701179i
\(724\) −7.23528e7 + 1.25319e8i −0.190651 + 0.330218i
\(725\) 3.94130e7 + 2.27551e7i 0.103425 + 0.0597124i
\(726\) 4.44934e8 6.75153e8i 1.16275 1.76438i
\(727\) 2.56241e8 + 4.43823e8i 0.666877 + 1.15507i 0.978773 + 0.204949i \(0.0657028\pi\)
−0.311895 + 0.950116i \(0.600964\pi\)
\(728\) 3.31254e7i 0.0858554i
\(729\) −3.63329e8 1.34487e8i −0.937816 0.347134i
\(730\) 3.91770e8 1.00708
\(731\) 5.60348e8 3.23517e8i 1.43452 0.828218i
\(732\) 1.72672e7 + 1.13793e7i 0.0440238 + 0.0290122i
\(733\) 1.79393e7 3.10717e7i 0.0455505 0.0788957i −0.842351 0.538929i \(-0.818829\pi\)
0.887902 + 0.460033i \(0.152162\pi\)
\(734\) 4.06635e8 + 2.34771e8i 1.02829 + 0.593685i
\(735\) −3.62105e8 2.14201e7i −0.911953 0.0539461i
\(736\) 3.47812e7 + 6.02428e7i 0.0872391 + 0.151103i
\(737\) 9.38524e8i 2.34446i
\(738\) 1.21554e8 + 2.83206e8i 0.302412 + 0.704585i
\(739\) −3.58948e7 −0.0889403 −0.0444701 0.999011i \(-0.514160\pi\)
−0.0444701 + 0.999011i \(0.514160\pi\)
\(740\) 2.08831e8 1.20569e8i 0.515347 0.297536i
\(741\) −8.88115e7 + 4.45019e7i −0.218280 + 0.109376i
\(742\) 1.16536e8 2.01847e8i 0.285266 0.494095i
\(743\) −3.77466e8 2.17930e8i −0.920261 0.531313i −0.0365427 0.999332i \(-0.511634\pi\)
−0.883718 + 0.468019i \(0.844968\pi\)
\(744\) 1.27104e7 + 2.53658e7i 0.0308630 + 0.0615927i
\(745\) 3.50548e8 + 6.07166e8i 0.847771 + 1.46838i
\(746\) 3.47133e8i 0.836140i
\(747\) 2.42537e8 + 1.81248e8i 0.581858 + 0.434822i
\(748\) 3.76688e8 0.900072
\(749\) −4.82043e7 + 2.78308e7i −0.114720 + 0.0662338i
\(750\) −2.60718e6 + 4.40741e7i −0.00617998 + 0.104472i
\(751\) 2.14559e8 3.71627e8i 0.506556 0.877380i −0.493416 0.869794i \(-0.664252\pi\)
0.999971 0.00758650i \(-0.00241488\pi\)
\(752\) 2.28553e7 + 1.31955e7i 0.0537445 + 0.0310294i
\(753\) 2.31046e8 3.50595e8i 0.541145 0.821146i
\(754\) −6.55719e6 1.13574e7i −0.0152969 0.0264950i
\(755\) 1.74301e8i 0.405005i
\(756\) 2.31689e7 1.29337e8i 0.0536217 0.299334i
\(757\) −8.26773e8 −1.90589 −0.952947 0.303136i \(-0.901966\pi\)
−0.952947 + 0.303136i \(0.901966\pi\)
\(758\) −4.38185e7 + 2.52987e7i −0.100612 + 0.0580884i
\(759\) −7.19643e8 4.74253e8i −1.64586 1.08464i
\(760\) 6.87987e7 1.19163e8i 0.156725 0.271456i
\(761\) 3.22643e8 +