Properties

Label 69.7.f.a.7.9
Level $69$
Weight $7$
Character 69.7
Analytic conductor $15.874$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 69 = 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 69.f (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(15.8737317698\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(24\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 7.9
Character \(\chi\) \(=\) 69.7
Dual form 69.7.f.a.10.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.87564 + 4.47273i) q^{2} +(13.1138 - 8.42776i) q^{3} +(4.12344 + 28.6791i) q^{4} +(175.461 - 80.1304i) q^{5} +(-13.1295 + 91.3177i) q^{6} +(148.103 + 504.394i) q^{7} +(-462.896 - 297.485i) q^{8} +(100.946 - 221.041i) q^{9} +O(q^{10})\) \(q+(-3.87564 + 4.47273i) q^{2} +(13.1138 - 8.42776i) q^{3} +(4.12344 + 28.6791i) q^{4} +(175.461 - 80.1304i) q^{5} +(-13.1295 + 91.3177i) q^{6} +(148.103 + 504.394i) q^{7} +(-462.896 - 297.485i) q^{8} +(100.946 - 221.041i) q^{9} +(-321.623 + 1095.35i) q^{10} +(1720.84 - 1491.12i) q^{11} +(295.775 + 341.342i) q^{12} +(-1323.31 - 388.558i) q^{13} +(-2830.01 - 1292.42i) q^{14} +(1625.65 - 2529.56i) q^{15} +(1345.37 - 395.036i) q^{16} +(3046.11 + 437.965i) q^{17} +(597.425 + 1308.18i) q^{18} +(3561.54 - 512.072i) q^{19} +(3021.57 + 4701.66i) q^{20} +(6193.11 + 5366.36i) q^{21} +13475.9i q^{22} +(-8620.55 + 8586.15i) q^{23} -8577.48 q^{24} +(14133.5 - 16311.0i) q^{25} +(6866.58 - 4412.88i) q^{26} +(-539.088 - 3749.44i) q^{27} +(-13854.9 + 6327.31i) q^{28} +(-4457.77 + 31004.5i) q^{29} +(5013.61 + 17074.8i) q^{30} +(33572.4 + 21575.7i) q^{31} +(11181.9 - 24484.9i) q^{32} +(10000.1 - 34057.2i) q^{33} +(-13764.6 + 11927.1i) q^{34} +(66403.7 + 76633.9i) q^{35} +(6755.50 + 1983.59i) q^{36} +(-4706.27 - 2149.28i) q^{37} +(-11512.9 + 17914.4i) q^{38} +(-20628.3 + 6057.01i) q^{39} +(-105058. - 15105.0i) q^{40} +(38027.8 + 83269.4i) q^{41} +(-48004.6 + 6902.02i) q^{42} +(-14317.0 - 22277.7i) q^{43} +(49859.8 + 43203.8i) q^{44} -46872.9i q^{45} +(-4993.37 - 71834.3i) q^{46} +99594.3 q^{47} +(14313.7 - 16518.9i) q^{48} +(-133506. + 85798.9i) q^{49} +(18178.0 + 126431. i) q^{50} +(43637.3 - 19928.5i) q^{51} +(5686.93 - 39553.5i) q^{52} +(-80329.6 - 273578. i) q^{53} +(18859.5 + 12120.3i) q^{54} +(182457. - 399526. i) q^{55} +(81493.2 - 277540. i) q^{56} +(42389.8 - 36731.0i) q^{57} +(-121398. - 140101. i) q^{58} +(-272418. - 79989.0i) q^{59} +(79248.9 + 36191.8i) q^{60} +(-41689.2 + 64869.6i) q^{61} +(-226617. + 66540.8i) q^{62} +(126442. + 18179.6i) q^{63} +(103456. + 226537. i) q^{64} +(-263324. + 37860.3i) q^{65} +(113572. + 176721. i) q^{66} +(-262868. - 227776. i) q^{67} +89165.8i q^{68} +(-40686.6 + 185249. i) q^{69} -600120. q^{70} +(119063. - 137407. i) q^{71} +(-112484. + 72288.9i) q^{72} +(44537.4 + 309765. i) q^{73} +(27853.0 - 12720.0i) q^{74} +(47880.1 - 333013. i) q^{75} +(29371.6 + 100030. i) q^{76} +(1.00697e6 + 647143. i) q^{77} +(52856.5 - 115740. i) q^{78} +(28686.8 - 97698.3i) q^{79} +(204405. - 177118. i) q^{80} +(-38668.9 - 44626.3i) q^{81} +(-519824. - 152634. i) q^{82} +(-351722. - 160626. i) q^{83} +(-128366. + 199741. i) q^{84} +(569569. - 167241. i) q^{85} +(155130. + 22304.3i) q^{86} +(202840. + 444157. i) q^{87} +(-1.24016e6 + 178308. i) q^{88} +(196418. + 305633. i) q^{89} +(209650. + 181663. i) q^{90} -725014. i q^{91} +(-281790. - 211825. i) q^{92} +622098. q^{93} +(-385992. + 445458. i) q^{94} +(583879. - 375236. i) q^{95} +(-59715.3 - 415329. i) q^{96} +(-1.19971e6 + 547891. i) q^{97} +(133665. - 929661. i) q^{98} +(-155886. - 530899. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 20q^{2} - 816q^{4} + 324q^{6} + 940q^{8} - 5832q^{9} + O(q^{10}) \) \( 240q + 20q^{2} - 816q^{4} + 324q^{6} + 940q^{8} - 5832q^{9} - 384q^{13} + 33816q^{16} + 22880q^{17} + 4860q^{18} - 31680q^{19} - 157696q^{20} + 36488q^{23} + 39204q^{24} + 200664q^{25} + 99032q^{26} - 202752q^{28} - 181712q^{29} - 128496q^{31} + 439300q^{32} - 400026q^{34} + 368744q^{35} + 42282q^{36} + 446688q^{37} + 550550q^{38} - 52488q^{39} - 156750q^{40} - 606080q^{41} - 1274130q^{42} - 429000q^{43} - 867482q^{44} + 309288q^{46} + 1111152q^{47} + 837864q^{48} + 722136q^{49} + 1786926q^{50} + 463320q^{51} - 812550q^{52} - 367840q^{53} - 354294q^{54} - 398088q^{55} - 3696550q^{56} - 1240272q^{57} + 1903134q^{58} + 545800q^{59} + 2450250q^{60} - 495264q^{61} + 488776q^{62} - 2699808q^{64} - 290400q^{67} + 23328q^{69} - 392616q^{70} + 255392q^{71} + 228420q^{72} + 1346880q^{73} - 5387470q^{74} + 365472q^{75} + 2123022q^{76} + 6134240q^{77} + 171072q^{78} + 4025472q^{79} + 10626462q^{80} - 1417176q^{81} + 2025492q^{82} - 2474560q^{83} - 8866152q^{85} - 15634300q^{86} - 611712q^{87} - 10636560q^{88} - 5901720q^{89} + 6566394q^{92} - 2484432q^{93} + 13931490q^{94} + 8183072q^{95} - 4682124q^{96} + 12319560q^{97} + 14139580q^{98} + 2993760q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/69\mathbb{Z}\right)^\times\).

\(n\) \(28\) \(47\)
\(\chi(n)\) \(e\left(\frac{19}{22}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.87564 + 4.47273i −0.484456 + 0.559091i −0.944376 0.328869i \(-0.893333\pi\)
0.459920 + 0.887960i \(0.347878\pi\)
\(3\) 13.1138 8.42776i 0.485698 0.312139i
\(4\) 4.12344 + 28.6791i 0.0644287 + 0.448112i
\(5\) 175.461 80.1304i 1.40369 0.641043i 0.437581 0.899179i \(-0.355835\pi\)
0.966109 + 0.258136i \(0.0831082\pi\)
\(6\) −13.1295 + 91.3177i −0.0607847 + 0.422767i
\(7\) 148.103 + 504.394i 0.431788 + 1.47054i 0.832342 + 0.554262i \(0.186999\pi\)
−0.400554 + 0.916273i \(0.631182\pi\)
\(8\) −462.896 297.485i −0.904094 0.581026i
\(9\) 100.946 221.041i 0.138472 0.303211i
\(10\) −321.623 + 1095.35i −0.321623 + 1.09535i
\(11\) 1720.84 1491.12i 1.29290 1.12030i 0.307222 0.951638i \(-0.400601\pi\)
0.985674 0.168663i \(-0.0539449\pi\)
\(12\) 295.775 + 341.342i 0.171166 + 0.197536i
\(13\) −1323.31 388.558i −0.602324 0.176858i −0.0336670 0.999433i \(-0.510719\pi\)
−0.568657 + 0.822575i \(0.692537\pi\)
\(14\) −2830.01 1292.42i −1.03135 0.471000i
\(15\) 1625.65 2529.56i 0.481674 0.749500i
\(16\) 1345.37 395.036i 0.328459 0.0964442i
\(17\) 3046.11 + 437.965i 0.620011 + 0.0891441i 0.445160 0.895451i \(-0.353147\pi\)
0.174851 + 0.984595i \(0.444056\pi\)
\(18\) 597.425 + 1308.18i 0.102439 + 0.224310i
\(19\) 3561.54 512.072i 0.519250 0.0746569i 0.122293 0.992494i \(-0.460975\pi\)
0.396957 + 0.917837i \(0.370066\pi\)
\(20\) 3021.57 + 4701.66i 0.377697 + 0.587708i
\(21\) 6193.11 + 5366.36i 0.668730 + 0.579458i
\(22\) 13475.9i 1.26558i
\(23\) −8620.55 + 8586.15i −0.708519 + 0.705692i
\(24\) −8577.48 −0.620478
\(25\) 14133.5 16311.0i 0.904546 1.04390i
\(26\) 6866.58 4412.88i 0.390679 0.251074i
\(27\) −539.088 3749.44i −0.0273885 0.190491i
\(28\) −13854.9 + 6327.31i −0.631144 + 0.288234i
\(29\) −4457.77 + 31004.5i −0.182778 + 1.27125i 0.667378 + 0.744719i \(0.267416\pi\)
−0.850156 + 0.526530i \(0.823493\pi\)
\(30\) 5013.61 + 17074.8i 0.185689 + 0.632399i
\(31\) 33572.4 + 21575.7i 1.12693 + 0.724235i 0.964917 0.262553i \(-0.0845646\pi\)
0.162014 + 0.986788i \(0.448201\pi\)
\(32\) 11181.9 24484.9i 0.341243 0.747219i
\(33\) 10000.1 34057.2i 0.278267 0.947691i
\(34\) −13764.6 + 11927.1i −0.350207 + 0.303456i
\(35\) 66403.7 + 76633.9i 1.54877 + 1.78738i
\(36\) 6755.50 + 1983.59i 0.144794 + 0.0425153i
\(37\) −4706.27 2149.28i −0.0929119 0.0424314i 0.368417 0.929661i \(-0.379900\pi\)
−0.461329 + 0.887229i \(0.652627\pi\)
\(38\) −11512.9 + 17914.4i −0.209814 + 0.326476i
\(39\) −20628.3 + 6057.01i −0.347752 + 0.102109i
\(40\) −105058. 15105.0i −1.64153 0.236016i
\(41\) 38027.8 + 83269.4i 0.551760 + 1.20819i 0.955955 + 0.293513i \(0.0948244\pi\)
−0.404195 + 0.914673i \(0.632448\pi\)
\(42\) −48004.6 + 6902.02i −0.647940 + 0.0931597i
\(43\) −14317.0 22277.7i −0.180072 0.280198i 0.739470 0.673190i \(-0.235076\pi\)
−0.919542 + 0.392992i \(0.871440\pi\)
\(44\) 49859.8 + 43203.8i 0.585319 + 0.507182i
\(45\) 46872.9i 0.514380i
\(46\) −4993.37 71834.3i −0.0513004 0.738003i
\(47\) 99594.3 0.959270 0.479635 0.877468i \(-0.340769\pi\)
0.479635 + 0.877468i \(0.340769\pi\)
\(48\) 14313.7 16518.9i 0.129428 0.149368i
\(49\) −133506. + 85798.9i −1.13478 + 0.729278i
\(50\) 18178.0 + 126431.i 0.145424 + 1.01145i
\(51\) 43637.3 19928.5i 0.328963 0.150233i
\(52\) 5686.93 39553.5i 0.0404453 0.281303i
\(53\) −80329.6 273578.i −0.539570 1.83761i −0.546237 0.837631i \(-0.683940\pi\)
0.00666665 0.999978i \(-0.497878\pi\)
\(54\) 18859.5 + 12120.3i 0.119771 + 0.0769718i
\(55\) 182457. 399526.i 1.09666 2.40136i
\(56\) 81493.2 277540.i 0.464042 1.58038i
\(57\) 42389.8 36731.0i 0.228895 0.198339i
\(58\) −121398. 140101.i −0.622197 0.718053i
\(59\) −272418. 79989.0i −1.32641 0.389470i −0.459610 0.888121i \(-0.652011\pi\)
−0.866803 + 0.498650i \(0.833829\pi\)
\(60\) 79248.9 + 36191.8i 0.366893 + 0.167554i
\(61\) −41689.2 + 64869.6i −0.183668 + 0.285793i −0.920862 0.389888i \(-0.872514\pi\)
0.737194 + 0.675681i \(0.236150\pi\)
\(62\) −226617. + 66540.8i −0.950862 + 0.279198i
\(63\) 126442. + 18179.6i 0.505672 + 0.0727047i
\(64\) 103456. + 226537.i 0.394654 + 0.864171i
\(65\) −263324. + 37860.3i −0.958849 + 0.137862i
\(66\) 113572. + 176721.i 0.395038 + 0.614691i
\(67\) −262868. 227776.i −0.874004 0.757329i 0.0972788 0.995257i \(-0.468986\pi\)
−0.971283 + 0.237929i \(0.923532\pi\)
\(68\) 89165.8i 0.283577i
\(69\) −40686.6 + 185249.i −0.123852 + 0.563910i
\(70\) −600120. −1.74962
\(71\) 119063. 137407.i 0.332662 0.383913i −0.564634 0.825341i \(-0.690983\pi\)
0.897296 + 0.441429i \(0.145528\pi\)
\(72\) −112484. + 72288.9i −0.301365 + 0.193675i
\(73\) 44537.4 + 309765.i 0.114487 + 0.796275i 0.963463 + 0.267843i \(0.0863108\pi\)
−0.848976 + 0.528432i \(0.822780\pi\)
\(74\) 27853.0 12720.0i 0.0687347 0.0313901i
\(75\) 47880.1 333013.i 0.113494 0.789365i
\(76\) 29371.6 + 100030.i 0.0669092 + 0.227872i
\(77\) 1.00697e6 + 647143.i 2.20570 + 1.41752i
\(78\) 52856.5 115740.i 0.111382 0.243892i
\(79\) 28686.8 97698.3i 0.0581837 0.198155i −0.925272 0.379304i \(-0.876163\pi\)
0.983456 + 0.181149i \(0.0579816\pi\)
\(80\) 204405. 177118.i 0.399229 0.345934i
\(81\) −38668.9 44626.3i −0.0727623 0.0839722i
\(82\) −519824. 152634.i −0.942789 0.276828i
\(83\) −351722. 160626.i −0.615129 0.280920i 0.0833841 0.996517i \(-0.473427\pi\)
−0.698513 + 0.715598i \(0.746154\pi\)
\(84\) −128366. + 199741.i −0.216576 + 0.336999i
\(85\) 569569. 167241.i 0.927448 0.272323i
\(86\) 155130. + 22304.3i 0.243893 + 0.0350666i
\(87\) 202840. + 444157.i 0.308032 + 0.674495i
\(88\) −1.24016e6 + 178308.i −1.81982 + 0.261651i
\(89\) 196418. + 305633.i 0.278620 + 0.433541i 0.952156 0.305614i \(-0.0988616\pi\)
−0.673536 + 0.739155i \(0.735225\pi\)
\(90\) 209650. + 181663.i 0.287585 + 0.249194i
\(91\) 725014.i 0.962104i
\(92\) −281790. 211825.i −0.361878 0.272029i
\(93\) 622098. 0.773411
\(94\) −385992. + 445458.i −0.464724 + 0.536320i
\(95\) 583879. 375236.i 0.681008 0.437657i
\(96\) −59715.3 415329.i −0.0674950 0.469438i
\(97\) −1.19971e6 + 547891.i −1.31451 + 0.600315i −0.944438 0.328690i \(-0.893393\pi\)
−0.370068 + 0.929005i \(0.620666\pi\)
\(98\) 133665. 929661.i 0.142017 0.987749i
\(99\) −155886. 530899.i −0.160658 0.547150i
\(100\) 526063. + 338080.i 0.526063 + 0.338080i
\(101\) 71343.6 156221.i 0.0692454 0.151626i −0.871844 0.489783i \(-0.837076\pi\)
0.941090 + 0.338157i \(0.109803\pi\)
\(102\) −79987.9 + 272414.i −0.0753744 + 0.256702i
\(103\) 640799. 555256.i 0.586422 0.508138i −0.310355 0.950621i \(-0.600448\pi\)
0.896777 + 0.442483i \(0.145902\pi\)
\(104\) 496963. + 573526.i 0.441798 + 0.509862i
\(105\) 1.51666e6 + 445331.i 1.31015 + 0.384694i
\(106\) 1.53497e6 + 700997.i 1.28879 + 0.588570i
\(107\) 161918. 251950.i 0.132174 0.205666i −0.768858 0.639420i \(-0.779175\pi\)
0.901032 + 0.433753i \(0.142811\pi\)
\(108\) 105308. 30921.2i 0.0835967 0.0245462i
\(109\) −1.02734e6 147709.i −0.793292 0.114058i −0.266258 0.963902i \(-0.585787\pi\)
−0.527035 + 0.849844i \(0.676696\pi\)
\(110\) 1.07983e6 + 2.36450e6i 0.811294 + 1.77649i
\(111\) −79830.8 + 11477.9i −0.0583716 + 0.00839257i
\(112\) 398507. + 620089.i 0.283649 + 0.441367i
\(113\) −644755. 558683.i −0.446848 0.387196i 0.402166 0.915567i \(-0.368258\pi\)
−0.849013 + 0.528371i \(0.822803\pi\)
\(114\) 331955.i 0.224060i
\(115\) −824560. + 2.19730e6i −0.542161 + 1.44476i
\(116\) −907564. −0.581438
\(117\) −219469. + 253281.i −0.137030 + 0.158141i
\(118\) 1.41356e6 908442.i 0.860338 0.552906i
\(119\) 230233. + 1.60130e6i 0.136624 + 0.950239i
\(120\) −1.50501e6 + 687317.i −0.870958 + 0.397753i
\(121\) 485747. 3.37844e6i 0.274191 1.90704i
\(122\) −128572. 437876.i −0.0708055 0.241141i
\(123\) 1.20047e6 + 771492.i 0.645111 + 0.414587i
\(124\) −480338. + 1.05179e6i −0.251931 + 0.551653i
\(125\) 323755. 1.10261e6i 0.165762 0.564535i
\(126\) −571356. + 495083.i −0.285624 + 0.247495i
\(127\) −2.29064e6 2.64354e6i −1.11827 1.29055i −0.952552 0.304375i \(-0.901553\pi\)
−0.165714 0.986174i \(-0.552993\pi\)
\(128\) 238728. + 70097.0i 0.113835 + 0.0334249i
\(129\) −375502. 171486.i −0.174921 0.0798840i
\(130\) 851211. 1.32451e6i 0.387443 0.602872i
\(131\) −1.96300e6 + 576390.i −0.873187 + 0.256391i −0.687470 0.726212i \(-0.741279\pi\)
−0.185717 + 0.982603i \(0.559461\pi\)
\(132\) 1.01797e6 + 146361.i 0.442600 + 0.0636362i
\(133\) 785761. + 1.72058e6i 0.333992 + 0.731340i
\(134\) 2.03757e6 292958.i 0.846832 0.121756i
\(135\) −395033. 614683.i −0.160558 0.249833i
\(136\) −1.27975e6 1.10891e6i −0.508753 0.440837i
\(137\) 3.02589e6i 1.17677i −0.808582 0.588384i \(-0.799764\pi\)
0.808582 0.588384i \(-0.200236\pi\)
\(138\) −670884. 899941.i −0.255276 0.342434i
\(139\) 4.26159e6 1.58682 0.793409 0.608689i \(-0.208304\pi\)
0.793409 + 0.608689i \(0.208304\pi\)
\(140\) −1.92398e6 + 2.22039e6i −0.701160 + 0.809182i
\(141\) 1.30606e6 839356.i 0.465915 0.299426i
\(142\) 153135. + 1.06508e6i 0.0534822 + 0.371977i
\(143\) −2.85659e6 + 1.30456e6i −0.976876 + 0.446125i
\(144\) 48490.4 337258.i 0.0162393 0.112947i
\(145\) 1.70224e6 + 5.79729e6i 0.558362 + 1.90161i
\(146\) −1.55810e6 1.00133e6i −0.500655 0.321751i
\(147\) −1.02768e6 + 2.25031e6i −0.323524 + 0.708418i
\(148\) 42233.5 143834.i 0.0130278 0.0443687i
\(149\) 2.97275e6 2.57590e6i 0.898667 0.778700i −0.0772112 0.997015i \(-0.524602\pi\)
0.975878 + 0.218315i \(0.0700561\pi\)
\(150\) 1.30391e6 + 1.50480e6i 0.386345 + 0.445866i
\(151\) −5.19405e6 1.52511e6i −1.50860 0.442966i −0.580180 0.814488i \(-0.697018\pi\)
−0.928424 + 0.371522i \(0.878836\pi\)
\(152\) −1.80096e6 822469.i −0.512829 0.234201i
\(153\) 404301. 629104.i 0.112883 0.175650i
\(154\) −6.79717e6 + 1.99583e6i −1.86108 + 0.546464i
\(155\) 7.61953e6 + 1.09552e6i 2.04613 + 0.294189i
\(156\) −258769. 566626.i −0.0681615 0.149253i
\(157\) 1.51067e6 217201.i 0.390364 0.0561259i 0.0556617 0.998450i \(-0.482273\pi\)
0.334703 + 0.942324i \(0.391364\pi\)
\(158\) 325799. + 506952.i 0.0825996 + 0.128527i
\(159\) −3.35908e6 2.91066e6i −0.835658 0.724102i
\(160\) 5.19215e6i 1.26761i
\(161\) −5.60753e6 3.07651e6i −1.34367 0.737193i
\(162\) 349468. 0.0821982
\(163\) −663265. + 765449.i −0.153153 + 0.176748i −0.827141 0.561994i \(-0.810034\pi\)
0.673988 + 0.738742i \(0.264580\pi\)
\(164\) −2.23129e6 + 1.43396e6i −0.505853 + 0.325092i
\(165\) −974389. 6.77702e6i −0.216910 1.50865i
\(166\) 2.08159e6 950630.i 0.455062 0.207820i
\(167\) −341732. + 2.37680e6i −0.0733730 + 0.510320i 0.919682 + 0.392665i \(0.128447\pi\)
−0.993055 + 0.117655i \(0.962462\pi\)
\(168\) −1.27035e6 4.32643e6i −0.267915 0.912434i
\(169\) −2.46041e6 1.58121e6i −0.509738 0.327589i
\(170\) −1.45942e6 + 3.19569e6i −0.297054 + 0.650457i
\(171\) 246334. 838936.i 0.0492647 0.167780i
\(172\) 579870. 502460.i 0.113958 0.0987452i
\(173\) 1.12145e6 + 1.29422e6i 0.216591 + 0.249960i 0.853640 0.520864i \(-0.174390\pi\)
−0.637048 + 0.770824i \(0.719845\pi\)
\(174\) −2.77273e6 814147.i −0.526332 0.154545i
\(175\) 1.03204e7 + 4.71315e6i 1.92567 + 0.879422i
\(176\) 1.72612e6 2.68590e6i 0.316617 0.492665i
\(177\) −4.24657e6 + 1.24691e6i −0.765805 + 0.224861i
\(178\) −2.12826e6 305998.i −0.377368 0.0542573i
\(179\) −2.08196e6 4.55886e6i −0.363006 0.794872i −0.999717 0.0237699i \(-0.992433\pi\)
0.636712 0.771102i \(-0.280294\pi\)
\(180\) 1.34427e6 193277.i 0.230500 0.0331408i
\(181\) −2.41198e6 3.75311e6i −0.406759 0.632930i 0.576080 0.817393i \(-0.304582\pi\)
−0.982839 + 0.184464i \(0.940945\pi\)
\(182\) 3.24279e6 + 2.80989e6i 0.537904 + 0.466097i
\(183\) 1.20204e6i 0.196139i
\(184\) 6.54467e6 1.41001e6i 1.05059 0.226344i
\(185\) −997989. −0.157620
\(186\) −2.41103e6 + 2.78248e6i −0.374683 + 0.432407i
\(187\) 5.89495e6 3.78845e6i 0.901478 0.579345i
\(188\) 410671. + 2.85628e6i 0.0618045 + 0.429860i
\(189\) 1.81135e6 827217.i 0.268298 0.122528i
\(190\) −584576. + 4.06582e6i −0.0852276 + 0.592771i
\(191\) 1.73654e6 + 5.91412e6i 0.249221 + 0.848770i 0.985148 + 0.171709i \(0.0549288\pi\)
−0.735926 + 0.677062i \(0.763253\pi\)
\(192\) 3.26591e6 + 2.09887e6i 0.461424 + 0.296539i
\(193\) 3.92678e6 8.59844e6i 0.546216 1.19605i −0.412311 0.911043i \(-0.635278\pi\)
0.958527 0.285003i \(-0.0919945\pi\)
\(194\) 2.19910e6 7.48943e6i 0.301189 1.02576i
\(195\) −3.13411e6 + 2.71572e6i −0.422679 + 0.366254i
\(196\) −3.01114e6 3.47504e6i −0.399910 0.461521i
\(197\) 5.83423e6 + 1.71308e6i 0.763106 + 0.224068i 0.640052 0.768332i \(-0.278913\pi\)
0.123054 + 0.992400i \(0.460731\pi\)
\(198\) 2.97873e6 + 1.36034e6i 0.383738 + 0.175247i
\(199\) 2.19831e6 3.42063e6i 0.278952 0.434057i −0.673301 0.739369i \(-0.735124\pi\)
0.952253 + 0.305311i \(0.0987605\pi\)
\(200\) −1.13946e7 + 3.34577e6i −1.42433 + 0.418221i
\(201\) −5.36685e6 771637.i −0.660894 0.0950222i
\(202\) 422231. + 924557.i 0.0512267 + 0.112171i
\(203\) −1.62987e7 + 2.34340e6i −1.94834 + 0.280129i
\(204\) 751468. + 1.16931e6i 0.0885156 + 0.137733i
\(205\) 1.33448e7 + 1.15634e7i 1.54900 + 1.34222i
\(206\) 5.01810e6i 0.574034i
\(207\) 1.02768e6 + 2.77223e6i 0.115863 + 0.312549i
\(208\) −1.93383e6 −0.214896
\(209\) 5.36529e6 6.19188e6i 0.587698 0.678240i
\(210\) −7.86988e6 + 5.05766e6i −0.849787 + 0.546125i
\(211\) 2.25704e6 + 1.56981e7i 0.240266 + 1.67108i 0.650808 + 0.759243i \(0.274430\pi\)
−0.410542 + 0.911842i \(0.634660\pi\)
\(212\) 7.51474e6 3.43186e6i 0.788690 0.360182i
\(213\) 403351. 2.80537e6i 0.0417392 0.290302i
\(214\) 499367. + 1.70069e6i 0.0509540 + 0.173533i
\(215\) −4.29720e6 2.76164e6i −0.432384 0.277877i
\(216\) −865861. + 1.89597e6i −0.0859186 + 0.188135i
\(217\) −5.91045e6 + 2.01291e7i −0.578417 + 1.96991i
\(218\) 4.64225e6 4.02253e6i 0.448084 0.388267i
\(219\) 3.19468e6 + 3.68685e6i 0.304155 + 0.351013i
\(220\) 1.22104e7 + 3.58530e6i 1.14673 + 0.336711i
\(221\) −3.86076e6 1.76315e6i −0.357681 0.163348i
\(222\) 258058. 401546.i 0.0235862 0.0367009i
\(223\) −8.42299e6 + 2.47321e6i −0.759542 + 0.223022i −0.638496 0.769625i \(-0.720443\pi\)
−0.121046 + 0.992647i \(0.538625\pi\)
\(224\) 1.40061e7 + 2.01377e6i 1.24616 + 0.179170i
\(225\) −2.17866e6 4.77061e6i −0.191268 0.418819i
\(226\) 4.99768e6 718558.i 0.432956 0.0622496i
\(227\) −1.12345e7 1.74812e7i −0.960452 1.49449i −0.866659 0.498900i \(-0.833737\pi\)
−0.0937926 0.995592i \(-0.529899\pi\)
\(228\) 1.22821e6 + 1.06425e6i 0.103625 + 0.0897920i
\(229\) 1.02135e7i 0.850489i 0.905079 + 0.425244i \(0.139812\pi\)
−0.905079 + 0.425244i \(0.860188\pi\)
\(230\) −6.63225e6 1.22040e7i −0.545102 1.00304i
\(231\) 1.86593e7 1.51377
\(232\) 1.12869e7 1.30257e7i 0.903877 1.04313i
\(233\) −5.83808e6 + 3.75191e6i −0.461533 + 0.296609i −0.750669 0.660679i \(-0.770268\pi\)
0.289136 + 0.957288i \(0.406632\pi\)
\(234\) −282273. 1.96325e6i −0.0220304 0.153225i
\(235\) 1.74749e7 7.98053e6i 1.34652 0.614934i
\(236\) 1.17072e6 8.14253e6i 0.0890670 0.619474i
\(237\) −447183. 1.52297e6i −0.0335924 0.114405i
\(238\) −8.05450e6 5.17632e6i −0.597459 0.383963i
\(239\) −8.86148e6 + 1.94039e7i −0.649101 + 1.42133i 0.243237 + 0.969967i \(0.421791\pi\)
−0.892339 + 0.451367i \(0.850937\pi\)
\(240\) 1.18783e6 4.04538e6i 0.0859253 0.292635i
\(241\) −4.30247e6 + 3.72811e6i −0.307374 + 0.266341i −0.794864 0.606788i \(-0.792458\pi\)
0.487490 + 0.873128i \(0.337912\pi\)
\(242\) 1.32283e7 + 1.52663e7i 0.933378 + 1.07718i
\(243\) −883197. 259330.i −0.0615515 0.0180732i
\(244\) −2.03231e6 928124.i −0.139901 0.0638905i
\(245\) −1.65500e7 + 2.57522e7i −1.12538 + 1.75112i
\(246\) −8.10325e6 + 2.37933e6i −0.544320 + 0.159827i
\(247\) −4.91197e6 706235.i −0.325961 0.0468661i
\(248\) −9.12210e6 1.99746e7i −0.598053 1.30955i
\(249\) −5.96615e6 + 857803.i −0.386453 + 0.0555635i
\(250\) 3.67691e6 + 5.72138e6i 0.235322 + 0.366169i
\(251\) 1.44891e6 + 1.25548e6i 0.0916261 + 0.0793945i 0.699469 0.714662i \(-0.253420\pi\)
−0.607843 + 0.794057i \(0.707965\pi\)
\(252\) 3.70121e6i 0.231282i
\(253\) −2.03164e6 + 2.76297e7i −0.125454 + 1.70614i
\(254\) 2.07015e7 1.26329
\(255\) 6.05978e6 6.99335e6i 0.365457 0.421760i
\(256\) −1.46473e7 + 9.41323e6i −0.873045 + 0.561072i
\(257\) 3.63881e6 + 2.53085e7i 0.214368 + 1.49096i 0.758340 + 0.651860i \(0.226011\pi\)
−0.543971 + 0.839104i \(0.683080\pi\)
\(258\) 2.22232e6 1.01490e6i 0.129404 0.0590969i
\(259\) 387069. 2.69213e6i 0.0222787 0.154952i
\(260\) −2.17160e6 7.39579e6i −0.123555 0.420789i
\(261\) 6.40326e6 + 4.11512e6i 0.360147 + 0.231452i
\(262\) 5.02987e6 1.10139e7i 0.279674 0.612402i
\(263\) 4.93461e6 1.68057e7i 0.271260 0.923826i −0.705359 0.708850i \(-0.749214\pi\)
0.976619 0.214976i \(-0.0689674\pi\)
\(264\) −1.47605e7 + 1.27901e7i −0.802213 + 0.695121i
\(265\) −3.60166e7 4.15654e7i −1.93538 2.23354i
\(266\) −1.07410e7 3.15385e6i −0.570690 0.167570i
\(267\) 5.15160e6 + 2.35266e6i 0.270650 + 0.123602i
\(268\) 5.44851e6 8.47805e6i 0.283057 0.440445i
\(269\) 3.66753e7 1.07689e7i 1.88416 0.553239i 0.888647 0.458591i \(-0.151646\pi\)
0.995511 0.0946478i \(-0.0301725\pi\)
\(270\) 4.28032e6 + 615417.i 0.217463 + 0.0312664i
\(271\) 3.62722e6 + 7.94251e6i 0.182249 + 0.399071i 0.978602 0.205762i \(-0.0659673\pi\)
−0.796353 + 0.604833i \(0.793240\pi\)
\(272\) 4.27115e6 614099.i 0.212246 0.0305163i
\(273\) −6.11024e6 9.50771e6i −0.300310 0.467292i
\(274\) 1.35340e7 + 1.17273e7i 0.657921 + 0.570092i
\(275\) 4.91434e7i 2.36302i
\(276\) −5.48056e6 402991.i −0.260674 0.0191676i
\(277\) 5.07338e6 0.238703 0.119352 0.992852i \(-0.461918\pi\)
0.119352 + 0.992852i \(0.461918\pi\)
\(278\) −1.65164e7 + 1.90609e7i −0.768742 + 0.887176i
\(279\) 8.15810e6 5.24289e6i 0.375644 0.241412i
\(280\) −7.94054e6 5.52277e7i −0.361723 2.51584i
\(281\) 2.97446e7 1.35839e7i 1.34057 0.612216i 0.389450 0.921048i \(-0.372665\pi\)
0.951117 + 0.308831i \(0.0999378\pi\)
\(282\) −1.30762e6 + 9.09472e6i −0.0583090 + 0.405548i
\(283\) −4.06843e6 1.38558e7i −0.179501 0.611326i −0.999254 0.0386084i \(-0.987708\pi\)
0.819753 0.572717i \(-0.194111\pi\)
\(284\) 4.43165e6 + 2.84805e6i 0.193469 + 0.124335i
\(285\) 4.49450e6 9.84158e6i 0.194154 0.425138i
\(286\) 5.23617e6 1.78328e7i 0.223829 0.762291i
\(287\) −3.63685e7 + 3.15135e7i −1.53844 + 1.33306i
\(288\) −4.28339e6 4.94329e6i −0.179312 0.206937i
\(289\) −1.40728e7 4.13216e6i −0.583026 0.171192i
\(290\) −3.25270e7 1.48546e7i −1.33367 0.609069i
\(291\) −1.11154e7 + 1.72959e7i −0.451071 + 0.701881i
\(292\) −8.70013e6 + 2.55459e6i −0.349444 + 0.102606i
\(293\) 9.30705e6 + 1.33815e6i 0.370006 + 0.0531989i 0.324810 0.945779i \(-0.394700\pi\)
0.0451962 + 0.998978i \(0.485609\pi\)
\(294\) −6.08209e6 1.33179e7i −0.239338 0.524076i
\(295\) −5.42082e7 + 7.79397e6i −2.11154 + 0.303594i
\(296\) 1.53913e6 + 2.39494e6i 0.0593473 + 0.0923462i
\(297\) −6.51855e6 5.64836e6i −0.248818 0.215602i
\(298\) 2.32796e7i 0.879682i
\(299\) 1.47438e7 8.01252e6i 0.551565 0.299748i
\(300\) 9.74797e6 0.361036
\(301\) 9.11633e6 1.05208e7i 0.334288 0.385789i
\(302\) 2.69517e7 1.73208e7i 0.978511 0.628851i
\(303\) −381001. 2.64992e6i −0.0136961 0.0952588i
\(304\) 4.58929e6 2.09586e6i 0.163352 0.0746004i
\(305\) −2.11680e6 + 1.47227e7i −0.0746071 + 0.518904i
\(306\) 1.24689e6 + 4.24651e6i 0.0435174 + 0.148207i
\(307\) −3.01011e7 1.93448e7i −1.04032 0.668574i −0.0952547 0.995453i \(-0.530367\pi\)
−0.945066 + 0.326879i \(0.894003\pi\)
\(308\) −1.44073e7 + 3.15476e7i −0.493095 + 1.07973i
\(309\) 3.72378e6 1.26820e7i 0.126214 0.429847i
\(310\) −3.44305e7 + 2.98342e7i −1.15574 + 1.00145i
\(311\) −2.86126e7 3.30208e7i −0.951211 1.09776i −0.995115 0.0987204i \(-0.968525\pi\)
0.0439041 0.999036i \(-0.486020\pi\)
\(312\) 1.13506e7 + 3.33285e6i 0.373728 + 0.109737i
\(313\) −9.72172e6 4.43976e6i −0.317037 0.144786i 0.250540 0.968106i \(-0.419392\pi\)
−0.567577 + 0.823320i \(0.692119\pi\)
\(314\) −4.88333e6 + 7.59861e6i −0.157735 + 0.245440i
\(315\) 2.36424e7 6.94203e6i 0.756414 0.222103i
\(316\) 2.92019e6 + 419860.i 0.0925444 + 0.0133059i
\(317\) 1.18487e7 + 2.59449e7i 0.371956 + 0.814470i 0.999360 + 0.0357758i \(0.0113902\pi\)
−0.627404 + 0.778694i \(0.715883\pi\)
\(318\) 2.60372e7 3.74358e6i 0.809678 0.116414i
\(319\) 3.85603e7 + 6.00010e7i 1.18787 + 1.84836i
\(320\) 3.63050e7 + 3.14585e7i 1.10794 + 0.960037i
\(321\) 4.66864e6i 0.141148i
\(322\) 3.54932e7 1.31575e7i 1.06311 0.394100i
\(323\) 1.10731e7 0.328596
\(324\) 1.12039e6 1.29300e6i 0.0329409 0.0380158i
\(325\) −2.50407e7 + 1.60927e7i −0.729452 + 0.468791i
\(326\) −853067. 5.93321e6i −0.0246224 0.171253i
\(327\) −1.47172e7 + 6.72111e6i −0.420902 + 0.192220i
\(328\) 7.16847e6 4.98578e7i 0.203144 1.41290i
\(329\) 1.47502e7 + 5.02347e7i 0.414201 + 1.41064i
\(330\) 3.40882e7 + 2.19071e7i 0.948554 + 0.609599i
\(331\) −7.16794e6 + 1.56956e7i −0.197656 + 0.432806i −0.982344 0.187085i \(-0.940096\pi\)
0.784688 + 0.619891i \(0.212823\pi\)
\(332\) 3.15632e6 1.07494e7i 0.0862515 0.293745i
\(333\) −950156. + 823315.i −0.0257313 + 0.0222963i
\(334\) −9.30635e6 1.07401e7i −0.249770 0.288250i
\(335\) −6.43749e7 1.89022e7i −1.71231 0.502780i
\(336\) 1.04519e7 + 4.77323e6i 0.275536 + 0.125833i
\(337\) −5.60737e6 + 8.72524e6i −0.146511 + 0.227975i −0.906751 0.421667i \(-0.861445\pi\)
0.760240 + 0.649643i \(0.225081\pi\)
\(338\) 1.66080e7 4.87655e6i 0.430098 0.126288i
\(339\) −1.31637e7 1.89265e6i −0.337892 0.0485815i
\(340\) 7.14489e6 + 1.56451e7i 0.181785 + 0.398055i
\(341\) 8.99449e7 1.29321e7i 2.26837 0.326142i
\(342\) 2.79763e6 + 4.35320e6i 0.0699379 + 0.108825i
\(343\) −1.63085e7 1.41314e7i −0.404139 0.350189i
\(344\) 1.45714e7i 0.357952i
\(345\) 7.70520e6 + 3.57643e7i 0.187641 + 0.870948i
\(346\) −1.01350e7 −0.244679
\(347\) −9.90170e6 + 1.14272e7i −0.236985 + 0.273495i −0.861767 0.507304i \(-0.830642\pi\)
0.624782 + 0.780799i \(0.285188\pi\)
\(348\) −1.19016e7 + 7.64873e6i −0.282403 + 0.181489i
\(349\) 8.68808e6 + 6.04269e7i 0.204384 + 1.42152i 0.791078 + 0.611715i \(0.209520\pi\)
−0.586694 + 0.809809i \(0.699571\pi\)
\(350\) −6.10788e7 + 2.78937e7i −1.42458 + 0.650583i
\(351\) −743495. + 5.17112e6i −0.0171932 + 0.119581i
\(352\) −1.72676e7 5.88081e7i −0.395918 1.34837i
\(353\) −3.00573e6 1.93166e6i −0.0683322 0.0439145i 0.506029 0.862517i \(-0.331113\pi\)
−0.574361 + 0.818602i \(0.694749\pi\)
\(354\) 1.08811e7 2.38263e7i 0.245281 0.537090i
\(355\) 9.88057e6 3.36501e7i 0.220850 0.752145i
\(356\) −7.95537e6 + 6.89337e6i −0.176324 + 0.152785i
\(357\) 1.65146e7 + 1.90589e7i 0.362965 + 0.418884i
\(358\) 2.84595e7 + 8.35646e6i 0.620266 + 0.182127i
\(359\) −5.61746e7 2.56541e7i −1.21411 0.554463i −0.297679 0.954666i \(-0.596212\pi\)
−0.916427 + 0.400203i \(0.868940\pi\)
\(360\) −1.39440e7 + 2.16973e7i −0.298868 + 0.465048i
\(361\) −3.27179e7 + 9.60683e6i −0.695446 + 0.204201i
\(362\) 2.61346e7 + 3.75759e6i 0.550922 + 0.0792107i
\(363\) −2.21027e7 4.83981e7i −0.462088 1.01183i
\(364\) 2.07928e7 2.98955e6i 0.431130 0.0619871i
\(365\) 3.26362e7 + 5.07828e7i 0.671151 + 1.04433i
\(366\) −5.37639e6 4.65867e6i −0.109660 0.0950207i
\(367\) 4.55423e7i 0.921334i −0.887573 0.460667i \(-0.847610\pi\)
0.887573 0.460667i \(-0.152390\pi\)
\(368\) −8.20597e6 + 1.49570e7i −0.164659 + 0.300123i
\(369\) 2.22447e7 0.442738
\(370\) 3.86785e6 4.46374e6i 0.0763598 0.0881239i
\(371\) 1.26094e8 8.10355e7i 2.46929 1.58691i
\(372\) 2.56518e6 + 1.78412e7i 0.0498298 + 0.346574i
\(373\) 1.12011e7 5.11539e6i 0.215842 0.0985717i −0.304560 0.952493i \(-0.598509\pi\)
0.520402 + 0.853921i \(0.325782\pi\)
\(374\) −5.90198e6 + 4.10492e7i −0.112819 + 0.784675i
\(375\) −5.04684e6 1.71880e7i −0.0957030 0.325935i
\(376\) −4.61018e7 2.96278e7i −0.867270 0.557361i
\(377\) 1.79460e7 3.92963e7i 0.334923 0.733378i
\(378\) −3.32024e6 + 1.13077e7i −0.0614743 + 0.209362i
\(379\) −6.32826e7 + 5.48347e7i −1.16243 + 1.00725i −0.162641 + 0.986685i \(0.552001\pi\)
−0.999789 + 0.0205652i \(0.993453\pi\)
\(380\) 1.31690e7 + 1.51979e7i 0.239996 + 0.276970i
\(381\) −5.23182e7 1.53620e7i −0.945970 0.277762i
\(382\) −3.31825e7 1.51539e7i −0.595277 0.271854i
\(383\) −2.41720e7 + 3.76123e7i −0.430245 + 0.669475i −0.986912 0.161261i \(-0.948444\pi\)
0.556667 + 0.830736i \(0.312080\pi\)
\(384\) 3.72141e6 1.09270e6i 0.0657224 0.0192978i
\(385\) 2.28541e8 + 3.28592e7i 4.00480 + 0.575804i
\(386\) 2.32397e7 + 5.08879e7i 0.404082 + 0.884816i
\(387\) −6.36952e6 + 915798.i −0.109894 + 0.0158004i
\(388\) −2.06600e7 3.21476e7i −0.353700 0.550368i
\(389\) −1.30001e6 1.12647e6i −0.0220850 0.0191368i 0.643748 0.765237i \(-0.277378\pi\)
−0.665833 + 0.746101i \(0.731924\pi\)
\(390\) 2.45432e7i 0.413750i
\(391\) −3.00196e7 + 2.23789e7i −0.502198 + 0.374376i
\(392\) 8.73232e7 1.44968
\(393\) −2.08849e7 + 2.41024e7i −0.344076 + 0.397085i
\(394\) −3.02736e7 + 1.94556e7i −0.494965 + 0.318095i
\(395\) −2.79519e6 1.94409e7i −0.0453544 0.315447i
\(396\) 1.45829e7 6.65980e6i 0.234833 0.107245i
\(397\) −4.73579e6 + 3.29382e7i −0.0756870 + 0.526414i 0.916341 + 0.400398i \(0.131128\pi\)
−0.992028 + 0.126016i \(0.959781\pi\)
\(398\) 6.77971e6 + 2.30896e7i 0.107538 + 0.366241i
\(399\) 2.48050e7 + 1.59412e7i 0.390499 + 0.250958i
\(400\) 1.25714e7 2.75275e7i 0.196428 0.430117i
\(401\) 2.02504e6 6.89666e6i 0.0314052 0.106956i −0.942299 0.334773i \(-0.891340\pi\)
0.973704 + 0.227817i \(0.0731586\pi\)
\(402\) 2.42513e7 2.10139e7i 0.373300 0.323466i
\(403\) −3.60432e7 4.15960e7i −0.550691 0.635531i
\(404\) 4.77446e6 + 1.40191e6i 0.0724069 + 0.0212606i
\(405\) −1.03608e7 4.73162e6i −0.155965 0.0712270i
\(406\) 5.26865e7 8.19818e7i 0.787266 1.22501i
\(407\) −1.13036e7 + 3.31903e6i −0.167661 + 0.0492298i
\(408\) −2.61280e7 3.75664e6i −0.384703 0.0553119i
\(409\) 4.72083e7 + 1.03372e8i 0.689999 + 1.51089i 0.851690 + 0.524045i \(0.175578\pi\)
−0.161692 + 0.986841i \(0.551695\pi\)
\(410\) −1.03440e8 + 1.48724e7i −1.50084 + 0.215789i
\(411\) −2.55014e7 3.96810e7i −0.367315 0.571554i
\(412\) 1.85666e7 + 1.60880e7i 0.265485 + 0.230044i
\(413\) 1.49252e8i 2.11871i
\(414\) −1.63824e7 6.14763e6i −0.230874 0.0866377i
\(415\) −7.45847e7 −1.04353
\(416\) −2.43108e7 + 2.80562e7i −0.337691 + 0.389716i
\(417\) 5.58858e7 3.59156e7i 0.770714 0.495308i
\(418\) 6.90064e6 + 4.79950e7i 0.0944845 + 0.657154i
\(419\) −1.36561e7 + 6.23651e6i −0.185645 + 0.0847813i −0.506069 0.862493i \(-0.668902\pi\)
0.320424 + 0.947274i \(0.396175\pi\)
\(420\) −6.51787e6 + 4.53328e7i −0.0879747 + 0.611877i
\(421\) −1.77706e7 6.05210e7i −0.238153 0.811073i −0.988655 0.150205i \(-0.952007\pi\)
0.750502 0.660868i \(-0.229812\pi\)
\(422\) −7.89607e7 5.07449e7i −1.05069 0.675236i
\(423\) 1.00536e7 2.20144e7i 0.132832 0.290861i
\(424\) −4.42010e7 + 1.50535e8i −0.579876 + 1.97488i
\(425\) 5.01960e7 4.34951e7i 0.653886 0.566595i
\(426\) 1.09844e7 + 1.26767e7i 0.142085 + 0.163975i
\(427\) −3.88941e7 1.14203e7i −0.499575 0.146688i
\(428\) 7.89337e6 + 3.60478e6i 0.100677 + 0.0459777i
\(429\) −2.64663e7 + 4.11824e7i −0.335214 + 0.521603i
\(430\) 2.90065e7 8.51708e6i 0.364830 0.107124i
\(431\) 1.43259e7 + 2.05975e6i 0.178933 + 0.0257267i 0.231199 0.972907i \(-0.425735\pi\)
−0.0522659 + 0.998633i \(0.516644\pi\)
\(432\) −2.20643e6 4.83141e6i −0.0273678 0.0599271i
\(433\) −2.99536e7 + 4.30668e6i −0.368965 + 0.0530492i −0.324304 0.945953i \(-0.605130\pi\)
−0.0446615 + 0.999002i \(0.514221\pi\)
\(434\) −6.71255e7 1.04449e8i −0.821142 1.27772i
\(435\) 7.11810e7 + 6.16787e7i 0.864762 + 0.749320i
\(436\) 3.00722e7i 0.362832i
\(437\) −2.63057e7 + 3.49942e7i −0.315214 + 0.419327i
\(438\) −2.88717e7 −0.343598
\(439\) 2.61333e7 3.01594e7i 0.308887 0.356475i −0.579987 0.814626i \(-0.696942\pi\)
0.888875 + 0.458151i \(0.151488\pi\)
\(440\) −2.03312e8 + 1.30661e8i −2.38674 + 1.53386i
\(441\) 5.48819e6 + 3.81712e7i 0.0639902 + 0.445062i
\(442\) 2.28491e7 1.04348e7i 0.264607 0.120842i
\(443\) 9.74484e6 6.77769e7i 0.112089 0.779597i −0.853793 0.520613i \(-0.825703\pi\)
0.965882 0.258984i \(-0.0833876\pi\)
\(444\) −658355. 2.24215e6i −0.00752162 0.0256163i
\(445\) 5.89543e7 + 3.78876e7i 0.669014 + 0.429949i
\(446\) 2.15825e7 4.72591e7i 0.243275 0.532697i
\(447\) 1.72751e7 5.88335e7i 0.193418 0.658722i
\(448\) −9.89417e7 + 8.57335e7i −1.10039 + 0.953491i
\(449\) −4.04733e7 4.67087e7i −0.447126 0.516010i 0.486783 0.873523i \(-0.338170\pi\)
−0.933908 + 0.357513i \(0.883625\pi\)
\(450\) 2.97814e7 + 8.74460e6i 0.326819 + 0.0959627i
\(451\) 1.89605e8 + 8.65895e7i 2.06690 + 0.943921i
\(452\) 1.33640e7 2.07947e7i 0.144717 0.225184i
\(453\) −8.09673e7 + 2.37741e7i −0.870993 + 0.255747i
\(454\) 1.21730e8 + 1.75021e7i 1.30085 + 0.187035i
\(455\) −5.80956e7 1.27212e8i −0.616750 1.35049i
\(456\) −3.05490e7 + 4.39229e6i −0.322183 + 0.0463229i
\(457\) −1.22173e7 1.90104e7i −0.128004 0.199179i 0.771336 0.636429i \(-0.219589\pi\)
−0.899340 + 0.437250i \(0.855953\pi\)
\(458\) −4.56823e7 3.95839e7i −0.475501 0.412024i
\(459\) 1.16573e7i 0.120548i
\(460\) −6.64168e7 1.45872e7i −0.682346 0.149864i
\(461\) 3.89875e7 0.397945 0.198972 0.980005i \(-0.436240\pi\)
0.198972 + 0.980005i \(0.436240\pi\)
\(462\) −7.23167e7 + 8.34579e7i −0.733352 + 0.846333i
\(463\) −5.89624e7 + 3.78928e7i −0.594063 + 0.381781i −0.802851 0.596180i \(-0.796684\pi\)
0.208788 + 0.977961i \(0.433048\pi\)
\(464\) 6.25054e6 + 4.34734e7i 0.0625696 + 0.435181i
\(465\) 1.09154e8 4.98490e7i 1.08563 0.495790i
\(466\) 5.84506e6 4.06533e7i 0.0577605 0.401733i
\(467\) −4.86149e7 1.65567e8i −0.477330 1.62564i −0.748521 0.663112i \(-0.769235\pi\)
0.271190 0.962526i \(-0.412583\pi\)
\(468\) −8.16885e6 5.24980e6i −0.0796936 0.0512159i
\(469\) 7.59573e7 1.66323e8i 0.736294 1.61226i
\(470\) −3.20318e7 + 1.09090e8i −0.308523 + 1.05073i
\(471\) 1.79802e7 1.55799e7i 0.172080 0.149108i
\(472\) 1.02305e8 + 1.18067e8i 0.972910 + 1.12280i
\(473\) −5.78561e7 1.69881e7i −0.546721 0.160532i
\(474\) 8.54494e6 + 3.90234e6i 0.0802369 + 0.0366430i
\(475\) 4.19847e7 6.53295e7i 0.391751 0.609577i
\(476\) −4.49747e7 + 1.32058e7i −0.417011 + 0.122445i
\(477\) −6.85807e7 9.86042e6i −0.631898 0.0908532i
\(478\) −5.24446e7 1.14838e8i −0.480195 1.05148i
\(479\) 1.58508e8 2.27899e7i 1.44226 0.207366i 0.623645 0.781708i \(-0.285651\pi\)
0.818615 + 0.574342i \(0.194742\pi\)
\(480\) −4.37582e7 6.80891e7i −0.395672 0.615678i
\(481\) 5.39271e6 + 4.67281e6i 0.0484587 + 0.0419897i
\(482\) 3.36926e7i 0.300880i
\(483\) −9.94644e7 + 6.91401e6i −0.882727 + 0.0613605i
\(484\) 9.88938e7 0.872234
\(485\) −1.66601e8 + 1.92267e8i −1.46033 + 1.68531i
\(486\) 4.58287e6 2.94523e6i 0.0399235 0.0256573i
\(487\) 1.22779e7 + 8.53947e7i 0.106301 + 0.739340i 0.971350 + 0.237653i \(0.0763780\pi\)
−0.865049 + 0.501687i \(0.832713\pi\)
\(488\) 3.85955e7 1.76260e7i 0.332107 0.151668i
\(489\) −2.24694e6 + 1.56278e7i −0.0192161 + 0.133651i
\(490\) −5.10411e7 1.73830e8i −0.433842 1.47753i
\(491\) 1.63286e8 + 1.04937e8i 1.37944 + 0.886513i 0.999262 0.0384000i \(-0.0122261\pi\)
0.380179 + 0.924913i \(0.375862\pi\)
\(492\) −1.71757e7 + 3.76095e7i −0.144218 + 0.315793i
\(493\) −2.71578e7 + 9.24909e7i −0.226649 + 0.771895i
\(494\) 2.21959e7 1.92328e7i 0.184116 0.159537i
\(495\) −6.98931e7 8.06609e7i −0.576260 0.665040i
\(496\) 5.36904e7 + 1.57649e7i 0.439999 + 0.129195i
\(497\) 8.69407e7 + 3.97045e7i 0.708197 + 0.323423i
\(498\) 1.92860e7 3.00095e7i 0.156154 0.242980i
\(499\) 4.27486e7 1.25521e7i 0.344049 0.101022i −0.105143 0.994457i \(-0.533530\pi\)
0.449192 + 0.893435i \(0.351712\pi\)
\(500\) 3.29568e7 + 4.73848e6i 0.263655 + 0.0379078i
\(501\) 1.55497e7 + 3.40490e7i 0.123654 + 0.270764i
\(502\) −1.12309e7 + 1.61476e6i −0.0887776 + 0.0127643i
\(503\) 5.18201e7 + 8.06337e7i 0.407188 + 0.633596i 0.982918 0.184043i \(-0.0589186\pi\)
−0.575730 + 0.817640i \(0.695282\pi\)
\(504\) −5.31213e7 4.60299e7i −0.414932 0.359541i
\(505\) 3.31275e7i 0.257226i
\(506\) −1.15706e8 1.16170e8i −0.893112 0.896689i
\(507\) −4.55915e7 −0.349832
\(508\) 6.63691e7 7.65940e7i 0.506261 0.584256i
\(509\) −2.90621e7 + 1.86770e7i −0.220380 + 0.141630i −0.646173 0.763191i \(-0.723632\pi\)
0.425793 + 0.904821i \(0.359995\pi\)
\(510\) 7.79386e6 + 5.42075e7i 0.0587546 + 0.408648i
\(511\) −1.49647e8 + 6.83415e7i −1.12152 + 0.512179i
\(512\) 1.23986e7 8.62341e7i 0.0923767 0.642494i
\(513\) −3.83996e6 1.30777e7i −0.0284430 0.0968679i
\(514\) −1.27301e8 8.18113e7i −0.937437 0.602454i
\(515\) 6.79425e7 1.48773e8i 0.497416 1.08919i
\(516\) 3.36971e6 1.14762e7i 0.0245270 0.0835311i
\(517\) 1.71386e8 1.48507e8i 1.24024 1.07467i
\(518\) 1.05410e7 + 1.21650e7i 0.0758391 + 0.0875230i
\(519\) 2.56139e7 + 7.52092e6i 0.183220 + 0.0537983i
\(520\) 1.33155e8 + 6.08096e7i 0.946991 + 0.432476i
\(521\) −1.25916e8 + 1.95929e8i −0.890364 + 1.38543i 0.0321550 + 0.999483i \(0.489763\pi\)
−0.922519 + 0.385951i \(0.873873\pi\)
\(522\) −4.32226e7 + 1.26913e7i −0.303878 + 0.0892267i
\(523\) −1.25859e8 1.80958e7i −0.879792 0.126495i −0.312408 0.949948i \(-0.601135\pi\)
−0.567384 + 0.823453i \(0.692045\pi\)
\(524\) −2.46247e7 5.39206e7i −0.171150 0.374766i
\(525\) 1.75061e8 2.51700e7i 1.20979 0.173942i
\(526\) 5.60428e7 + 8.72042e7i 0.385090 + 0.599212i
\(527\) 9.28160e7 + 8.04255e7i 0.634149 + 0.549493i
\(528\) 4.97698e7i 0.338115i
\(529\) 591863. 1.48035e8i 0.00399811 0.999992i
\(530\) 3.25498e8 2.18636
\(531\) −4.51802e7 + 5.21408e7i −0.301762 + 0.348252i
\(532\) −4.61046e7 + 2.96296e7i −0.306203 + 0.196785i
\(533\) −1.79675e7 1.24967e8i −0.118661 0.825302i
\(534\) −3.04886e7 + 1.39237e7i −0.200223 + 0.0914387i
\(535\) 8.22153e6 5.71820e7i 0.0536898 0.373421i
\(536\) 5.39205e7 + 1.83636e8i 0.350154 + 1.19252i
\(537\) −6.57235e7 4.22379e7i −0.424422 0.272759i
\(538\) −9.39744e7 + 2.05775e8i −0.603480 + 1.32144i
\(539\) −1.01806e8 + 3.46720e8i −0.650141 + 2.21418i
\(540\) 1.59997e7 1.38638e7i 0.101609 0.0880444i
\(541\) 1.10410e8 + 1.27419e8i 0.697292 + 0.804718i 0.988384 0.151977i \(-0.0485640\pi\)
−0.291092 + 0.956695i \(0.594019\pi\)
\(542\) −4.95825e7 1.45587e7i −0.311409 0.0914378i
\(543\) −6.32606e7 2.88901e7i −0.395124 0.180447i
\(544\) 4.47847e7 6.96864e7i 0.278185 0.432864i
\(545\) −1.92094e8 + 5.64038e7i −1.18665 + 0.348432i
\(546\) 6.62066e7 + 9.51907e6i 0.406746 + 0.0584812i
\(547\) 9.18966e7 + 2.01226e8i 0.561484 + 1.22948i 0.951209 + 0.308548i \(0.0998430\pi\)
−0.389725 + 0.920931i \(0.627430\pi\)
\(548\) 8.67798e7 1.24771e7i 0.527323 0.0758177i
\(549\) 1.01305e7 + 1.57633e7i 0.0612227 + 0.0952644i
\(550\) 2.19805e8 + 1.90462e8i 1.32114 + 1.14478i
\(551\) 1.12706e8i 0.673742i
\(552\) 7.39426e7 7.36476e7i 0.439620 0.437866i
\(553\) 5.35270e7 0.316517
\(554\) −1.96626e7 + 2.26919e7i −0.115641 + 0.133457i
\(555\) −1.30875e7 + 8.41081e6i −0.0765556 + 0.0491993i
\(556\) 1.75724e7 + 1.22219e8i 0.102237 + 0.711071i
\(557\) 8.38022e7 3.82712e7i 0.484942 0.221466i −0.157914 0.987453i \(-0.550477\pi\)
0.642856 + 0.765987i \(0.277749\pi\)
\(558\) −8.16784e6 + 5.68086e7i −0.0470116 + 0.326973i
\(559\) 1.02896e7 + 3.50432e7i 0.0589065 + 0.200617i
\(560\) 1.19610e8 + 7.68690e7i 0.681091 + 0.437710i
\(561\) 4.53773e7 9.93623e7i 0.257010 0.562773i
\(562\) −5.45222e7 + 1.85686e8i −0.307160 + 1.04609i
\(563\) −1.73079e8 + 1.49974e8i −0.969882 + 0.840407i −0.987207 0.159443i \(-0.949030\pi\)
0.0173256 + 0.999850i \(0.494485\pi\)
\(564\) 2.94575e7 + 3.39958e7i 0.164194 + 0.189490i
\(565\) −1.57897e8 4.63627e7i −0.875444 0.257054i
\(566\) 7.77411e7 + 3.55032e7i 0.428747 + 0.195802i
\(567\) 1.67822e7 2.61136e7i 0.0920661 0.143258i
\(568\) −9.59905e7 + 2.81853e7i −0.523821 + 0.153808i
\(569\) −7.27767e7 1.04637e7i −0.395053 0.0568001i −0.0580743 0.998312i \(-0.518496\pi\)
−0.336979 + 0.941512i \(0.609405\pi\)
\(570\) 2.65997e7 + 5.82451e7i 0.143632 + 0.314511i
\(571\) 3.17894e7 4.57062e6i 0.170755 0.0245509i −0.0564069 0.998408i \(-0.517964\pi\)
0.227162 + 0.973857i \(0.427055\pi\)
\(572\) −4.91926e7 7.65452e7i −0.262852 0.409006i
\(573\) 7.26155e7 + 6.29217e7i 0.385981 + 0.334454i
\(574\) 2.84801e8i 1.50594i
\(575\) 1.82096e7 + 2.61962e8i 0.0957850 + 1.37795i
\(576\) 6.05174e7 0.316674
\(577\) −1.18346e8 + 1.36579e8i −0.616065 + 0.710977i −0.974955 0.222403i \(-0.928610\pi\)
0.358890 + 0.933380i \(0.383155\pi\)
\(578\) 7.30233e7 4.69292e7i 0.378162 0.243030i
\(579\) −2.09704e7 1.45853e8i −0.108037 0.751413i
\(580\) −1.59242e8 + 7.27235e7i −0.816158 + 0.372727i
\(581\) 2.89276e7 2.01196e8i 0.147497 1.02587i
\(582\) −3.42805e7 1.16749e8i −0.173891 0.592220i
\(583\) −5.46172e8 3.51003e8i −2.75628 1.77136i
\(584\) 7.15342e7 1.56638e8i 0.359149 0.786428i
\(585\) −1.82128e7 + 6.20271e7i −0.0909723 + 0.309823i
\(586\) −4.20560e7 + 3.64417e7i −0.208995 + 0.181095i
\(587\) −5.82349e7 6.72067e7i −0.287918 0.332275i 0.593303 0.804979i \(-0.297824\pi\)
−0.881221 + 0.472704i \(0.843278\pi\)
\(588\) −6.87744e7 2.01940e7i −0.338295 0.0993322i
\(589\) 1.30618e8 + 5.96511e7i 0.639229 + 0.291926i
\(590\) 1.75232e8 2.72666e8i 0.853211 1.32762i
\(591\) 9.09466e7 2.67043e7i 0.440579 0.129366i
\(592\) −7.18070e6 1.03243e6i −0.0346100 0.00497617i
\(593\) 8.75181e7 + 1.91638e8i 0.419695 + 0.919004i 0.994888 + 0.100986i \(0.0321998\pi\)
−0.575193 + 0.818018i \(0.695073\pi\)
\(594\) 5.05272e7 7.26471e6i 0.241082 0.0346624i
\(595\) 1.68710e8 + 2.62518e8i 0.800922 + 1.24626i
\(596\) 8.61325e7 + 7.46342e7i 0.406844 + 0.352532i
\(597\) 6.33844e7i 0.297892i
\(598\) −2.13040e7 + 9.69989e7i −0.0996225 + 0.453590i
\(599\) 1.66945e8 0.776773 0.388386 0.921497i \(-0.373033\pi\)
0.388386 + 0.921497i \(0.373033\pi\)
\(600\) −1.21230e8 + 1.39907e8i −0.561251 + 0.647718i
\(601\) 2.10485e8 1.35270e8i 0.969610 0.623131i 0.0429687 0.999076i \(-0.486318\pi\)
0.926642 + 0.375946i \(0.122682\pi\)
\(602\) 1.17251e7 + 8.15498e7i 0.0537436 + 0.373795i
\(603\) −7.68833e7 + 3.51114e7i −0.350655 + 0.160139i
\(604\) 2.23215e7 1.55250e8i 0.101301 0.704563i
\(605\) −1.85486e8 6.31708e8i −0.837618 2.85266i
\(606\) 1.33290e7 + 8.56604e6i 0.0598936 + 0.0384913i
\(607\) 7.96232e7 1.74350e8i 0.356019 0.779574i −0.643876 0.765130i \(-0.722675\pi\)
0.999896 0.0144440i \(-0.00459783\pi\)
\(608\) 2.72866e7 9.29297e7i 0.121406 0.413470i
\(609\) −1.93989e8 + 1.68092e8i −0.858865 + 0.744211i
\(610\) −5.76466e7 6.65277e7i −0.253971 0.293098i
\(611\) −1.31794e8 3.86981e7i −0.577791 0.169655i
\(612\) 1.97093e7 + 9.00092e6i 0.0859837 + 0.0392674i
\(613\) −1.16827e8 + 1.81786e8i −0.507179 + 0.789186i −0.996559 0.0828849i \(-0.973587\pi\)
0.489380 + 0.872070i \(0.337223\pi\)
\(614\) 2.03185e8 5.96606e7i 0.877783 0.257740i
\(615\) 2.72455e8 + 3.91731e7i 1.17130 + 0.168408i
\(616\) −2.73609e8 5.99120e8i −1.17055 2.56314i
\(617\) −1.19856e8 + 1.72327e7i −0.510276 + 0.0733667i −0.392644 0.919691i \(-0.628440\pi\)
−0.117632 + 0.993057i \(0.537530\pi\)
\(618\) 4.22913e7 + 6.58066e7i 0.179178 + 0.278807i
\(619\) −9.18141e7 7.95574e7i −0.387113 0.335435i 0.439463 0.898261i \(-0.355169\pi\)
−0.826576 + 0.562826i \(0.809714\pi\)
\(620\) 2.23039e8i 0.935848i
\(621\) 3.68405e7 + 2.76935e7i 0.153833 + 0.115639i
\(622\) 2.58585e8 1.07457
\(623\) −1.25069e8 + 1.44337e8i −0.517233 + 0.596918i
\(624\) −2.53599e7 + 1.62978e7i −0.104374 + 0.0670773i
\(625\) 1.64463e7 + 1.14387e8i 0.0673641 + 0.468528i
\(626\) 5.75358e7 2.62757e7i 0.234539 0.107110i
\(627\) 1.81760e7 1.26417e8i 0.0737386 0.512863i
\(628\) 1.24583e7 + 4.24291e7i 0.0503014 + 0.171311i
\(629\) −1.33945e7 8.60813e6i −0.0538239 0.0345905i
\(630\) −6.05796e7 + 1.32651e8i −0.242273 + 0.530504i
\(631\) 1.34656e8 4.58595e8i 0.535965 1.82533i −0.0281087 0.999605i \(-0.508948\pi\)
0.564074 0.825724i \(-0.309233\pi\)
\(632\) −4.23428e7 + 3.66903e7i −0.167737 + 0.145345i
\(633\) 1.61898e8 + 1.86840e8i 0.638307 + 0.736646i
\(634\) −1.61966e8 4.75575e7i −0.635559 0.186617i
\(635\) −6.13746e8 2.80288e8i −2.39700 1.09467i
\(636\) 6.96242e7 1.08337e8i 0.270638 0.421121i
\(637\) 2.10007e8 6.16635e7i 0.812484 0.238567i
\(638\) −4.17814e8 6.00726e7i −1.60887 0.231321i
\(639\) −1.83535e7 4.01885e7i −0.0703421 0.154028i
\(640\) 4.75045e7 6.83011e6i 0.181215 0.0260548i
\(641\) 2.52755e8 + 3.93295e8i 0.959679 + 1.49329i 0.867433 + 0.497553i \(0.165768\pi\)
0.0922456 + 0.995736i \(0.470596\pi\)
\(642\) 2.08816e7 + 1.80940e7i 0.0789148 + 0.0683800i
\(643\) 1.21487e8i 0.456981i 0.973546 + 0.228491i \(0.0733790\pi\)
−0.973546 + 0.228491i \(0.926621\pi\)
\(644\) 6.51094e7 1.73505e8i 0.243773 0.649612i
\(645\) −7.96273e7 −0.296744
\(646\) −4.29155e7 + 4.95271e7i −0.159190 + 0.183715i
\(647\) −2.99561e8 + 1.92516e8i −1.10604 + 0.710812i −0.960428 0.278529i \(-0.910153\pi\)
−0.145617 + 0.989341i \(0.546517\pi\)
\(648\) 4.62402e6 + 3.21607e7i 0.0169940 + 0.118196i
\(649\) −5.88061e8 + 2.68559e8i −2.15124 + 0.982438i
\(650\) 2.50706e7 1.74370e8i 0.0912904 0.634939i
\(651\) 9.21348e7 + 3.13782e8i 0.333949 + 1.13733i
\(652\) −2.46873e7 1.58656e7i −0.0890700 0.0572418i
\(653\) 1.00245e8 2.19507e8i 0.360018 0.788330i −0.639786 0.768553i \(-0.720977\pi\)
0.999804 0.0197771i \(-0.00629567\pi\)
\(654\) 2.69768e7 9.18747e7i 0.0964401 0.328445i
\(655\) −2.98245e8 + 2.58430e8i −1.06133 + 0.919644i
\(656\) 8.40558e7 + 9.70056e7i 0.297753 + 0.343625i
\(657\) 7.29664e7 + 2.14249e7i 0.257292 + 0.0755478i
\(658\) −2.81853e8 1.28718e8i −0.989339 0.451816i
\(659\) 1.80581e8 2.80989e8i 0.630980 0.981824i −0.367674 0.929955i \(-0.619846\pi\)
0.998654 0.0518690i \(-0.0165178\pi\)
\(660\) 1.90341e8 5.58893e7i 0.662066 0.194400i
\(661\) 4.68610e8 + 6.73759e7i 1.62258 + 0.233292i 0.892822 0.450410i \(-0.148722\pi\)
0.729761 + 0.683702i \(0.239631\pi\)
\(662\) −4.24218e7 9.28908e7i −0.146223 0.320183i
\(663\) −6.54889e7 + 9.41588e6i −0.224712 + 0.0323088i
\(664\) 1.15027e8 + 1.78986e8i 0.392912 + 0.611384i
\(665\) 2.75741e8 + 2.38931e8i 0.937641 + 0.812471i
\(666\) 7.44067e6i 0.0251877i
\(667\) −2.27781e8 3.05551e8i −0.767609 1.02969i
\(668\) −6.95736e7 −0.233408
\(669\) −8.96141e7 + 1.03420e8i −0.299294 + 0.345404i
\(670\) 3.34039e8 2.14674e8i 1.11064 0.713764i
\(671\) 2.49878e7 + 1.73794e8i 0.0827105 + 0.575264i
\(672\) 2.00645e8 9.16316e7i 0.661182 0.301952i
\(673\) −5.27187e6 + 3.66667e7i −0.0172950 + 0.120289i −0.996640 0.0819073i \(-0.973899\pi\)
0.979345 + 0.202196i \(0.0648079\pi\)
\(674\) −1.72935e7 5.88962e7i −0.0564811 0.192357i
\(675\) −6.87762e7 4.41998e7i −0.223628 0.143717i
\(676\) 3.52024e7 7.70824e7i 0.113955 0.249526i
\(677\) 3.98908e7 1.35856e8i 0.128560 0.437836i −0.869905 0.493220i \(-0.835820\pi\)
0.998465 + 0.0553833i \(0.0176381\pi\)
\(678\) 5.94830e7 5.15423e7i 0.190855 0.165377i
\(679\) −4.54034e8 5.23984e8i −1.45037 1.67382i
\(680\) −3.13403e8 9.20234e7i −0.996727 0.292665i
\(681\) −2.94655e8 1.34564e8i −0.932979 0.426077i
\(682\) −2.90752e8 + 4.52420e8i −0.916580 + 1.42623i
\(683\) 4.93303e8 1.44847e8i 1.54829 0.454618i 0.607698 0.794168i \(-0.292093\pi\)
0.940588 + 0.339550i \(0.110275\pi\)
\(684\) 2.50757e7 + 3.60534e6i 0.0783582 + 0.0112662i
\(685\) −2.42466e8 5.30926e8i −0.754360 1.65182i
\(686\) 1.26412e8 1.81753e7i 0.391575 0.0563000i
\(687\) 8.60770e7 + 1.33938e8i 0.265471 + 0.413081i
\(688\) −2.80621e7 2.43160e7i −0.0861698 0.0746666i
\(689\) 3.93239e8i 1.20226i
\(690\) −1.89827e8 1.04146e8i −0.577843 0.317028i
\(691\) −7.17522e7 −0.217471 −0.108735 0.994071i \(-0.534680\pi\)
−0.108735 + 0.994071i \(0.534680\pi\)
\(692\) −3.24929e7 + 3.74988e7i −0.0980552 + 0.113162i
\(693\) 2.44695e8 1.57256e8i 0.735233 0.472505i
\(694\) −1.27352e7 8.85753e7i −0.0381002 0.264993i
\(695\) 7.47743e8 3.41483e8i 2.22740 1.01722i
\(696\) 3.82365e7 2.65941e8i 0.113410 0.788782i
\(697\) 7.93681e7 + 2.70303e8i 0.234395 + 0.798274i
\(698\) −3.03945e8 1.95334e8i −0.893777 0.574395i
\(699\) −4.49396e7 + 9.84039e7i −0.131582 + 0.288125i
\(700\) −9.26138e7 + 3.15414e8i −0.270011 + 0.919573i
\(701\) −7.16232e7 + 6.20619e7i −0.207922 + 0.180165i −0.752596 0.658482i \(-0.771199\pi\)
0.544674 + 0.838648i \(0.316653\pi\)
\(702\) −2.02475e7 2.33669e7i −0.0585275 0.0675444i
\(703\) −1.78621e7 5.24479e6i −0.0514123 0.0150960i
\(704\) 5.15826e8 + 2.35570e8i 1.47838 + 0.675152i
\(705\) 1.61905e8 2.51930e8i 0.462056 0.718973i
\(706\) 2.02890e7 5.95737e6i 0.0576561 0.0169294i
\(707\) 8.93630e7 + 1.28485e7i 0.252871 + 0.0363574i
\(708\) −5.32706e7 1.16646e8i −0.150103 0.328679i
\(709\) −2.22452e8 + 3.19838e7i −0.624163 + 0.0897410i −0.447137 0.894465i \(-0.647557\pi\)
−0.177025 + 0.984206i \(0.556647\pi\)
\(710\) 1.12214e8 + 1.74609e8i 0.313526 + 0.487856i
\(711\) −1.86995e7 1.62032e7i −0.0520260 0.0450808i
\(712\) 1.99908e8i 0.553847i
\(713\) −4.74665e8 + 1.02264e8i −1.30954 + 0.282132i
\(714\) −1.49250e8 −0.410035
\(715\) −3.96685e8 + 4.57799e8i −1.08525 + 1.25244i
\(716\) 1.22159e8 7.85070e7i 0.332803 0.213880i
\(717\) 4.73235e7 + 3.29142e8i 0.128387 + 0.892949i
\(718\) 3.32456e8 1.51828e8i 0.898176 0.410183i
\(719\) 2.16159e7 1.50342e8i 0.0581551 0.404477i −0.939863 0.341551i \(-0.889048\pi\)
0.998018 0.0629260i \(-0.0200432\pi\)
\(720\) −1.85165e7 6.30612e7i −0.0496090 0.168953i
\(721\) 3.74972e8 + 2.40980e8i 1.00044 + 0.642947i
\(722\) 8.38340e7 1.83571e8i 0.222745 0.487744i
\(723\) −2.50023e7 + 8.51500e7i −0.0661554 + 0.225304i
\(724\) 9.76903e7 8.46491e7i 0.257416 0.223052i
\(725\) 4.42709e8 + 5.10914e8i 1.16173 + 1.34071i
\(726\) 3.02134e8 + 8.87145e7i 0.789568 + 0.231838i
\(727\) −1.06911e8 4.88248e7i −0.278241 0.127068i 0.271407 0.962465i \(-0.412511\pi\)
−0.549648 + 0.835396i \(0.685238\pi\)
\(728\) −2.15681e8 + 3.35606e8i −0.559007 + 0.869832i
\(729\) −1.37677e7 + 4.04255e6i −0.0355368 + 0.0104345i
\(730\) −3.53624e8 5.08435e7i −0.909020 0.130697i
\(731\) −3.38544e7 7.41307e7i −0.0866688 0.189778i
\(732\) −3.44734e7 + 4.95652e6i −0.0878922 + 0.0126370i
\(733\) 3.33644e8 + 5.19160e8i 0.847171 + 1.31822i 0.946347 + 0.323154i \(0.104743\pi\)
−0.0991756 + 0.995070i \(0.531621\pi\)
\(734\) 2.03699e8 + 1.76506e8i 0.515110 + 0.446345i
\(735\) 4.77190e8i 1.20179i
\(736\) 1.13837e8 + 3.07082e8i 0.285529 + 0.770231i
\(737\) −7.91997e8 −1.97843
\(738\) −8.62124e7 + 9.94944e7i −0.214487 + 0.247531i
\(739\) 6.42417e7 4.12857e7i 0.159178 0.102298i −0.458627 0.888629i \(-0.651658\pi\)
0.617805 + 0.786331i \(0.288022\pi\)
\(740\) −4.11515e6 2.86215e7i −0.0101552 0.0706312i
\(741\) −7.03668e7 + 3.21354e7i −0.172947 + 0.0789823i
\(742\) −1.26244e8 + 8.78048e8i −0.309030 + 2.14935i
\(743\) −6.07276e7 2.06819e8i −0.148054 0.504225i 0.851752 0.523946i \(-0.175541\pi\)
−0.999806 + 0.0197204i \(0.993722\pi\)
\(744\) −2.87967e8 1.85065e8i −0.699236 0.449372i
\(745\) 3.15193e8 6.90177e8i 0.762269 1.66914i
\(746\) −2.05319e7 + 6.99251e7i −0.0494552 + 0.168429i
\(747\) −7.10099e7 + 6.15304e7i −0.170356 + 0.147614i
\(748\) 1.32957e8 + 1.53440e8i 0.317692 + 0.366636i
\(749\) 1.51063e8 + 4.43560e7i 0.359510 + 0.105562i
\(750\) 9.64369e7 + 4.40412e7i 0.228591 + 0.104394i
\(751\) −8.91869e7 + 1.38777e8i −0.210563 + 0.327642i −0.930430 0.366470i \(-0.880566\pi\)
0.719867 + 0.694112i \(0.244203\pi\)
\(752\) 1.33991e8 3.93433e7i 0.315081 0.0925160i
\(753\) 2.95817e7 + 4.25320e6i 0.0692847 + 0.00996164i
\(754\) 1.06209e8 + 2.32566e8i 0.247770 + 0.542541i
\(755\) −1.03356e9 + 1.48604e8i −2.40157 + 0.345294i
\(756\) 3.11929e7 + 4.85370e7i 0.0721921 + 0.112333i
\(757\) 6.18116e8 + 5.35601e8i 1.42489 + 1.23468i 0.930932 + 0.365194i \(0.118997\pi\)
0.493962 + 0.869483i \(0.335548\pi\)
\(758\) 4.95566e8i 1.13787i
\(759\) 2.06214e8 + 3.79454e8i 0.471620 + 0.867828i
\(760\) −3.81903e8 −0.869985
\(761\) 3.53859e8 4.08376e8i 0.802928 0.926629i −0.195610 0.980682i \(-0.562669\pi\)
0.998538 + 0.0540531i \(0.0172140\pi\)
\(762\) 2.71477e8 1.74467e8i 0.613575 0.394321i
\(763\) −7.76486e7 5.40058e8i −0.174808 1.21581i
\(764\) −1.62451e8 + 7.41891e7i −0.364287 + 0.166364i
\(765\) 2.05287e7 1.42780e8i 0.0458539 0.318921i