Properties

Label 69.7.f.a.7.6
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 7.6
Character \(\chi\) \(=\) 69.7
Dual form 69.7.f.a.10.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-5.37670 + 6.20505i) q^{2} +(-13.1138 + 8.42776i) q^{3} +(-0.485518 - 3.37685i) q^{4} +(-45.2350 + 20.6582i) q^{5} +(18.2146 - 126.686i) q^{6} +(-13.8057 - 47.0180i) q^{7} +(-418.489 - 268.946i) q^{8} +(100.946 - 221.041i) q^{9} +O(q^{10})\) \(q+(-5.37670 + 6.20505i) q^{2} +(-13.1138 + 8.42776i) q^{3} +(-0.485518 - 3.37685i) q^{4} +(-45.2350 + 20.6582i) q^{5} +(18.2146 - 126.686i) q^{6} +(-13.8057 - 47.0180i) q^{7} +(-418.489 - 268.946i) q^{8} +(100.946 - 221.041i) q^{9} +(115.031 - 391.758i) q^{10} +(464.382 - 402.389i) q^{11} +(34.8263 + 40.1917i) q^{12} +(-2251.53 - 661.110i) q^{13} +(365.978 + 167.137i) q^{14} +(419.103 - 652.138i) q^{15} +(4128.41 - 1212.21i) q^{16} +(-6777.57 - 974.468i) q^{17} +(828.811 + 1814.84i) q^{18} +(12055.0 - 1733.24i) q^{19} +(91.7219 + 142.722i) q^{20} +(577.302 + 500.235i) q^{21} +5045.04i q^{22} +(12163.9 - 272.588i) q^{23} +7754.61 q^{24} +(-8612.75 + 9939.64i) q^{25} +(16208.1 - 10416.3i) q^{26} +(539.088 + 3749.44i) q^{27} +(-152.070 + 69.4479i) q^{28} +(-954.290 + 6637.24i) q^{29} +(1793.15 + 6106.91i) q^{30} +(39322.2 + 25270.8i) q^{31} +(-1449.71 + 3174.43i) q^{32} +(-2698.59 + 9190.56i) q^{33} +(42487.6 - 36815.7i) q^{34} +(1595.81 + 1841.66i) q^{35} +(-795.432 - 233.560i) q^{36} +(63144.5 + 28837.1i) q^{37} +(-54061.1 + 84120.8i) q^{38} +(35097.9 - 10305.7i) q^{39} +(24486.3 + 3520.60i) q^{40} +(-40273.6 - 88186.8i) q^{41} +(-6207.96 + 892.570i) q^{42} +(-56420.3 - 87791.7i) q^{43} +(-1584.27 - 1372.78i) q^{44} +12084.1i q^{45} +(-63710.5 + 76943.5i) q^{46} -54685.7 q^{47} +(-43923.1 + 50690.0i) q^{48} +(96952.5 - 62307.6i) q^{49} +(-15367.7 - 106885. i) q^{50} +(97092.6 - 44340.7i) q^{51} +(-1139.31 + 7924.07i) q^{52} +(-5355.06 - 18237.7i) q^{53} +(-26164.0 - 16814.6i) q^{54} +(-12693.7 + 27795.4i) q^{55} +(-6867.77 + 23389.5i) q^{56} +(-143480. + 124326. i) q^{57} +(-36053.4 - 41607.9i) q^{58} +(-288355. - 84668.7i) q^{59} +(-2405.65 - 1098.62i) q^{60} +(177678. - 276472. i) q^{61} +(-368230. + 108122. i) q^{62} +(-11786.5 - 1694.64i) q^{63} +(102491. + 224425. i) q^{64} +(115506. - 16607.2i) q^{65} +(-42518.3 - 66159.8i) q^{66} +(-51697.0 - 44795.7i) q^{67} +23360.0i q^{68} +(-157219. + 106089. i) q^{69} -20007.8 q^{70} +(69274.3 - 79946.8i) q^{71} +(-101693. + 65354.0i) q^{72} +(-60222.4 - 418856. i) q^{73} +(-518445. + 236766. i) q^{74} +(29177.4 - 202933. i) q^{75} +(-11705.8 - 39866.3i) q^{76} +(-25330.6 - 16279.0i) q^{77} +(-124764. + 273195. i) q^{78} +(-28730.9 + 97848.4i) q^{79} +(-161707. + 140120. i) q^{80} +(-38668.9 - 44626.3i) q^{81} +(763742. + 224255. i) q^{82} +(387283. + 176866. i) q^{83} +(1408.93 - 2192.33i) q^{84} +(326714. - 95932.0i) q^{85} +(848107. + 121939. i) q^{86} +(-43422.6 - 95082.2i) q^{87} +(-302560. + 43501.5i) q^{88} +(409515. + 637218. i) q^{89} +(-74982.6 - 64972.8i) q^{90} +114990. i q^{91} +(-6826.30 - 40943.5i) q^{92} -728641. q^{93} +(294029. - 339327. i) q^{94} +(-509501. + 327437. i) q^{95} +(-7742.00 - 53846.8i) q^{96} +(489734. - 223654. i) q^{97} +(-134663. + 936605. i) q^{98} +(-42066.9 - 143267. 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −5.37670 + 6.20505i −0.672088 + 0.775631i −0.984702 0.174249i \(-0.944250\pi\)
0.312613 + 0.949880i \(0.398796\pi\)
\(3\) −13.1138 + 8.42776i −0.485698 + 0.312139i
\(4\) −0.485518 3.37685i −0.00758621 0.0527633i
\(5\) −45.2350 + 20.6582i −0.361880 + 0.165265i −0.588054 0.808822i \(-0.700106\pi\)
0.226173 + 0.974087i \(0.427378\pi\)
\(6\) 18.2146 126.686i 0.0843270 0.586507i
\(7\) −13.8057 47.0180i −0.0402499 0.137079i 0.936917 0.349552i \(-0.113666\pi\)
−0.977167 + 0.212474i \(0.931848\pi\)
\(8\) −418.489 268.946i −0.817361 0.525286i
\(9\) 100.946 221.041i 0.138472 0.303211i
\(10\) 115.031 391.758i 0.115031 0.391758i
\(11\) 464.382 402.389i 0.348897 0.302321i −0.462727 0.886501i \(-0.653129\pi\)
0.811624 + 0.584180i \(0.198584\pi\)
\(12\) 34.8263 + 40.1917i 0.0201541 + 0.0232591i
\(13\) −2251.53 661.110i −1.02482 0.300915i −0.274218 0.961667i \(-0.588419\pi\)
−0.750604 + 0.660753i \(0.770237\pi\)
\(14\) 365.978 + 167.137i 0.133374 + 0.0609098i
\(15\) 419.103 652.138i 0.124179 0.193226i
\(16\) 4128.41 1212.21i 1.00791 0.295950i
\(17\) −6777.57 974.468i −1.37952 0.198345i −0.587689 0.809087i \(-0.699962\pi\)
−0.791829 + 0.610743i \(0.790871\pi\)
\(18\) 828.811 + 1814.84i 0.142114 + 0.311187i
\(19\) 12055.0 1733.24i 1.75754 0.252696i 0.813274 0.581880i \(-0.197683\pi\)
0.944266 + 0.329184i \(0.106774\pi\)
\(20\) 91.7219 + 142.722i 0.0114652 + 0.0178403i
\(21\) 577.302 + 500.235i 0.0623369 + 0.0540152i
\(22\) 5045.04i 0.473801i
\(23\) 12163.9 272.588i 0.999749 0.0224039i
\(24\) 7754.61 0.560953
\(25\) −8612.75 + 9939.64i −0.551216 + 0.636137i
\(26\) 16208.1 10416.3i 0.922170 0.592642i
\(27\) 539.088 + 3749.44i 0.0273885 + 0.190491i
\(28\) −152.070 + 69.4479i −0.00692737 + 0.00316362i
\(29\) −954.290 + 6637.24i −0.0391279 + 0.272141i −0.999988 0.00489344i \(-0.998442\pi\)
0.960860 + 0.277034i \(0.0893515\pi\)
\(30\) 1793.15 + 6106.91i 0.0664130 + 0.226182i
\(31\) 39322.2 + 25270.8i 1.31993 + 0.848271i 0.995231 0.0975453i \(-0.0310991\pi\)
0.324704 + 0.945816i \(0.394735\pi\)
\(32\) −1449.71 + 3174.43i −0.0442417 + 0.0968759i
\(33\) −2698.59 + 9190.56i −0.0750923 + 0.255741i
\(34\) 42487.6 36815.7i 1.08100 0.936692i
\(35\) 1595.81 + 1841.66i 0.0372200 + 0.0429541i
\(36\) −795.432 233.560i −0.0170489 0.00500600i
\(37\) 63144.5 + 28837.1i 1.24661 + 0.569308i 0.925864 0.377858i \(-0.123339\pi\)
0.320746 + 0.947165i \(0.396066\pi\)
\(38\) −54061.1 + 84120.8i −0.985223 + 1.53304i
\(39\) 35097.9 10305.7i 0.591681 0.173733i
\(40\) 24486.3 + 3520.60i 0.382598 + 0.0550093i
\(41\) −40273.6 88186.8i −0.584344 1.27953i −0.938800 0.344462i \(-0.888061\pi\)
0.354456 0.935073i \(-0.384666\pi\)
\(42\) −6207.96 + 892.570i −0.0837918 + 0.0120474i
\(43\) −56420.3 87791.7i −0.709627 1.10420i −0.989552 0.144179i \(-0.953946\pi\)
0.279925 0.960022i \(-0.409691\pi\)
\(44\) −1584.27 1372.78i −0.0185982 0.0161155i
\(45\) 12084.1i 0.132611i
\(46\) −63710.5 + 76943.5i −0.654542 + 0.790494i
\(47\) −54685.7 −0.526721 −0.263360 0.964698i \(-0.584831\pi\)
−0.263360 + 0.964698i \(0.584831\pi\)
\(48\) −43923.1 + 50690.0i −0.397164 + 0.458351i
\(49\) 96952.5 62307.6i 0.824083 0.529606i
\(50\) −15367.7 106885.i −0.122942 0.855080i
\(51\) 97092.6 44340.7i 0.731940 0.334266i
\(52\) −1139.31 + 7924.07i −0.00810274 + 0.0563558i
\(53\) −5355.06 18237.7i −0.0359697 0.122502i 0.939551 0.342409i \(-0.111243\pi\)
−0.975521 + 0.219907i \(0.929425\pi\)
\(54\) −26164.0 16814.6i −0.166158 0.106784i
\(55\) −12693.7 + 27795.4i −0.0762958 + 0.167064i
\(56\) −6867.77 + 23389.5i −0.0391068 + 0.133185i
\(57\) −143480. + 124326.i −0.774757 + 0.671331i
\(58\) −36053.4 41607.9i −0.184783 0.213251i
\(59\) −288355. 84668.7i −1.40401 0.412256i −0.509954 0.860202i \(-0.670338\pi\)
−0.894061 + 0.447946i \(0.852156\pi\)
\(60\) −2405.65 1098.62i −0.0111373 0.00508623i
\(61\) 177678. 276472.i 0.782788 1.21804i −0.188951 0.981986i \(-0.560509\pi\)
0.971739 0.236056i \(-0.0758549\pi\)
\(62\) −368230. + 108122.i −1.54506 + 0.453670i
\(63\) −11786.5 1694.64i −0.0471372 0.00677730i
\(64\) 102491. + 224425.i 0.390973 + 0.856112i
\(65\) 115506. 16607.2i 0.420594 0.0604723i
\(66\) −42518.3 66159.8i −0.147892 0.230124i
\(67\) −51697.0 44795.7i −0.171886 0.148940i 0.564669 0.825317i \(-0.309004\pi\)
−0.736556 + 0.676377i \(0.763549\pi\)
\(68\) 23360.0i 0.0742926i
\(69\) −157219. + 106089.i −0.478583 + 0.322942i
\(70\) −20007.8 −0.0583317
\(71\) 69274.3 79946.8i 0.193552 0.223371i −0.650676 0.759356i \(-0.725514\pi\)
0.844227 + 0.535985i \(0.180060\pi\)
\(72\) −101693. + 65354.0i −0.272454 + 0.175095i
\(73\) −60222.4 418856.i −0.154807 1.07670i −0.908020 0.418927i \(-0.862406\pi\)
0.753213 0.657776i \(-0.228503\pi\)
\(74\) −518445. + 236766.i −1.27940 + 0.584284i
\(75\) 29177.4 202933.i 0.0691612 0.481027i
\(76\) −11705.8 39866.3i −0.0266661 0.0908166i
\(77\) −25330.6 16279.0i −0.0554848 0.0356579i
\(78\) −124764. + 273195.i −0.262909 + 0.575690i
\(79\) −28730.9 + 97848.4i −0.0582731 + 0.198460i −0.983485 0.180992i \(-0.942069\pi\)
0.925212 + 0.379452i \(0.123887\pi\)
\(80\) −161707. + 140120.i −0.315834 + 0.273671i
\(81\) −38668.9 44626.3i −0.0727623 0.0839722i
\(82\) 763742. + 224255.i 1.38518 + 0.406725i
\(83\) 387283. + 176866.i 0.677320 + 0.309322i 0.724211 0.689578i \(-0.242204\pi\)
−0.0468910 + 0.998900i \(0.514931\pi\)
\(84\) 1408.93 2192.33i 0.00237712 0.00369887i
\(85\) 326714. 95932.0i 0.532000 0.156209i
\(86\) 848107. + 121939.i 1.33338 + 0.191712i
\(87\) −43422.6 95082.2i −0.0659414 0.144391i
\(88\) −302560. + 43501.5i −0.443980 + 0.0638346i
\(89\) 409515. + 637218.i 0.580898 + 0.903894i 0.999992 0.00404833i \(-0.00128863\pi\)
−0.419094 + 0.907943i \(0.637652\pi\)
\(90\) −74982.6 64972.8i −0.102857 0.0891260i
\(91\) 114990.i 0.152593i
\(92\) −6826.30 40943.5i −0.00876641 0.0525801i
\(93\) −728641. −0.905868
\(94\) 294029. 339327.i 0.354003 0.408541i
\(95\) −509501. + 327437.i −0.594257 + 0.381906i
\(96\) −7742.00 53846.8i −0.00875063 0.0608620i
\(97\) 489734. 223654.i 0.536594 0.245054i −0.128637 0.991692i \(-0.541060\pi\)
0.665231 + 0.746638i \(0.268333\pi\)
\(98\) −134663. + 936605.i −0.143078 + 0.995126i
\(99\) −42066.9 143267.i −0.0433546 0.147652i
\(100\) 37746.3 + 24258.1i 0.0377463 + 0.0242581i
\(101\) 537878. 1.17779e6i 0.522059 1.14315i −0.446595 0.894736i \(-0.647363\pi\)
0.968654 0.248414i \(-0.0799094\pi\)
\(102\) −246902. + 840871.i −0.232661 + 0.792372i
\(103\) 1.21981e6 1.05697e6i 1.11630 0.967276i 0.116632 0.993175i \(-0.462790\pi\)
0.999665 + 0.0258988i \(0.00824476\pi\)
\(104\) 764439. + 882209.i 0.679583 + 0.784281i
\(105\) −36448.2 10702.2i −0.0314853 0.00924493i
\(106\) 141958. + 64830.1i 0.119191 + 0.0544326i
\(107\) 1.19055e6 1.85254e6i 0.971847 1.51222i 0.117139 0.993116i \(-0.462628\pi\)
0.854709 0.519108i \(-0.173736\pi\)
\(108\) 12399.6 3640.84i 0.00984316 0.00289021i
\(109\) −424147. 60983.1i −0.327519 0.0470901i −0.0234059 0.999726i \(-0.507451\pi\)
−0.304113 + 0.952636i \(0.598360\pi\)
\(110\) −104221. 228213.i −0.0783029 0.171459i
\(111\) −1.07110e6 + 154001.i −0.783179 + 0.112604i
\(112\) −113991. 177374.i −0.0811368 0.126251i
\(113\) −673057. 583207.i −0.466462 0.404192i 0.389665 0.920957i \(-0.372591\pi\)
−0.856128 + 0.516765i \(0.827136\pi\)
\(114\) 1.55876e6i 1.05212i
\(115\) −544605. + 263615.i −0.358087 + 0.173331i
\(116\) 22876.3 0.0146559
\(117\) −373415. + 430944.i −0.233149 + 0.269069i
\(118\) 2.07577e6 1.33402e6i 1.26338 0.811925i
\(119\) 47751.8 + 332121.i 0.0283366 + 0.197086i
\(120\) −350780. + 160196.i −0.202998 + 0.0927060i
\(121\) −198386. + 1.37980e6i −0.111984 + 0.778864i
\(122\) 760203. + 2.58901e6i 0.418649 + 1.42579i
\(123\) 1.27136e6 + 817052.i 0.683207 + 0.439071i
\(124\) 66244.2 145054.i 0.0347442 0.0760792i
\(125\) 403174. 1.37308e6i 0.206425 0.703019i
\(126\) 73887.9 64024.2i 0.0369370 0.0320061i
\(127\) −1.23082e6 1.42044e6i −0.600875 0.693447i 0.371084 0.928599i \(-0.378986\pi\)
−0.971958 + 0.235153i \(0.924441\pi\)
\(128\) −2.15793e6 633625.i −1.02898 0.302136i
\(129\) 1.47977e6 + 675790.i 0.689329 + 0.314806i
\(130\) −517991. + 806010.i −0.235772 + 0.366868i
\(131\) −2.27815e6 + 668926.i −1.01337 + 0.297553i −0.745932 0.666022i \(-0.767996\pi\)
−0.267440 + 0.963575i \(0.586178\pi\)
\(132\) 32345.4 + 4650.56i 0.0140634 + 0.00202201i
\(133\) −247921. 542871.i −0.105380 0.230750i
\(134\) 555919. 79929.1i 0.231045 0.0332193i
\(135\) −101842. 158469.i −0.0413929 0.0644087i
\(136\) 2.57426e6 + 2.23061e6i 1.02338 + 0.886760i
\(137\) 1.76869e6i 0.687846i 0.938998 + 0.343923i \(0.111756\pi\)
−0.938998 + 0.343923i \(0.888244\pi\)
\(138\) 187029. 1.54596e6i 0.0711658 0.588249i
\(139\) 120772. 0.0449699 0.0224849 0.999747i \(-0.492842\pi\)
0.0224849 + 0.999747i \(0.492842\pi\)
\(140\) 5444.21 6282.96i 0.00198404 0.00228971i
\(141\) 717140. 460878.i 0.255827 0.164410i
\(142\) 123606. + 859701.i 0.0431693 + 0.300249i
\(143\) −1.31159e6 + 598985.i −0.448530 + 0.204837i
\(144\) 148798. 1.03491e6i 0.0498322 0.346591i
\(145\) −93945.7 319950.i −0.0308157 0.104949i
\(146\) 2.92282e6 + 1.87838e6i 0.939168 + 0.603567i
\(147\) −746307. + 1.63418e6i −0.234945 + 0.514457i
\(148\) 66720.9 227230.i 0.0205815 0.0700941i
\(149\) 1.31198e6 1.13684e6i 0.396614 0.343668i −0.433607 0.901102i \(-0.642759\pi\)
0.830221 + 0.557434i \(0.188214\pi\)
\(150\) 1.10233e6 + 1.27216e6i 0.326617 + 0.376936i
\(151\) −604811. 177588.i −0.175666 0.0515803i 0.192716 0.981254i \(-0.438270\pi\)
−0.368383 + 0.929674i \(0.620088\pi\)
\(152\) −5.51102e6 2.51680e6i −1.56928 0.716667i
\(153\) −899565. + 1.39975e6i −0.251164 + 0.390819i
\(154\) 237207. 69650.4i 0.0649480 0.0190705i
\(155\) −2.30079e6 330804.i −0.617848 0.0888331i
\(156\) −51841.4 113517.i −0.0136554 0.0299011i
\(157\) −3.09152e6 + 444494.i −0.798865 + 0.114860i −0.529645 0.848219i \(-0.677675\pi\)
−0.269220 + 0.963079i \(0.586766\pi\)
\(158\) −452677. 704379.i −0.114767 0.178581i
\(159\) 223928. + 194035.i 0.0557080 + 0.0482712i
\(160\) 173544.i 0.0423691i
\(161\) −180749. 568161.i −0.0433109 0.136142i
\(162\) 484819. 0.114034
\(163\) −4.16579e6 + 4.80758e6i −0.961911 + 1.11010i 0.0319521 + 0.999489i \(0.489828\pi\)
−0.993863 + 0.110615i \(0.964718\pi\)
\(164\) −278240. + 178814.i −0.0630795 + 0.0405387i
\(165\) −67789.1 471483.i −0.0150907 0.104958i
\(166\) −3.17977e6 + 1.45215e6i −0.695138 + 0.317459i
\(167\) 1.14385e6 7.95566e6i 0.245595 1.70815i −0.377503 0.926008i \(-0.623217\pi\)
0.623098 0.782144i \(-0.285874\pi\)
\(168\) −107058. 364606.i −0.0225783 0.0768946i
\(169\) 571769. + 367454.i 0.118457 + 0.0761277i
\(170\) −1.16138e6 + 2.54308e6i −0.236390 + 0.517622i
\(171\) 833782. 2.83960e6i 0.166749 0.567896i
\(172\) −269066. + 233147.i −0.0528779 + 0.0458189i
\(173\) 155606. + 179579.i 0.0300530 + 0.0346830i 0.770577 0.637347i \(-0.219968\pi\)
−0.740524 + 0.672030i \(0.765423\pi\)
\(174\) 823460. + 241790.i 0.156313 + 0.0458976i
\(175\) 586247. + 267730.i 0.109387 + 0.0499554i
\(176\) 1.42938e6 2.22416e6i 0.262186 0.407969i
\(177\) 4.49501e6 1.31985e6i 0.810608 0.238016i
\(178\) −6.15581e6 885071.i −1.09150 0.156934i
\(179\) −1.47070e6 3.22037e6i −0.256427 0.561497i 0.737010 0.675882i \(-0.236237\pi\)
−0.993436 + 0.114386i \(0.963510\pi\)
\(180\) 40806.3 5867.06i 0.00699697 0.00100601i
\(181\) 67508.1 + 105045.i 0.0113847 + 0.0177149i 0.846899 0.531753i \(-0.178467\pi\)
−0.835515 + 0.549468i \(0.814830\pi\)
\(182\) −713516. 618265.i −0.118356 0.102556i
\(183\) 5.12304e6i 0.835940i
\(184\) −5.16379e6 3.15737e6i −0.828924 0.506842i
\(185\) −3.45207e6 −0.545210
\(186\) 3.91769e6 4.52125e6i 0.608823 0.702619i
\(187\) −3.53949e6 + 2.27470e6i −0.541273 + 0.347855i
\(188\) 26550.9 + 184665.i 0.00399581 + 0.0277915i
\(189\) 168848. 77110.5i 0.0250099 0.0114216i
\(190\) 707678. 4.92201e6i 0.103175 0.717599i
\(191\) −1.49164e6 5.08007e6i −0.214074 0.729070i −0.994585 0.103928i \(-0.966859\pi\)
0.780510 0.625143i \(-0.214959\pi\)
\(192\) −3.23545e6 2.07930e6i −0.457121 0.293774i
\(193\) 1.05938e6 2.31972e6i 0.147360 0.322674i −0.821530 0.570165i \(-0.806879\pi\)
0.968890 + 0.247492i \(0.0796063\pi\)
\(194\) −1.24537e6 + 4.24135e6i −0.170567 + 0.580897i
\(195\) −1.37476e6 + 1.19124e6i −0.185406 + 0.160655i
\(196\) −257476. 297143.i −0.0341954 0.0394636i
\(197\) 8.70987e6 + 2.55745e6i 1.13923 + 0.334509i 0.796331 0.604861i \(-0.206771\pi\)
0.342904 + 0.939371i \(0.388590\pi\)
\(198\) 1.11516e6 + 509276.i 0.143662 + 0.0656081i
\(199\) 3.54271e6 5.51256e6i 0.449548 0.699511i −0.540326 0.841456i \(-0.681699\pi\)
0.989875 + 0.141945i \(0.0453356\pi\)
\(200\) 6.27757e6 1.84326e6i 0.784696 0.230408i
\(201\) 1.05547e6 + 151754.i 0.129975 + 0.0186876i
\(202\) 4.41623e6 + 9.67019e6i 0.535793 + 1.17322i
\(203\) 325244. 46763.0i 0.0388795 0.00559003i
\(204\) −196872. 306339.i −0.0231896 0.0360837i
\(205\) 3.64355e6 + 3.15716e6i 0.422925 + 0.366467i
\(206\) 1.32520e7i 1.51593i
\(207\) 1.16765e6 2.71624e6i 0.131644 0.306237i
\(208\) −1.00967e7 −1.12199
\(209\) 4.90067e6 5.65567e6i 0.536805 0.619506i
\(210\) 262379. 168621.i 0.0283316 0.0182076i
\(211\) −782957. 5.44559e6i −0.0833471 0.579692i −0.988107 0.153769i \(-0.950859\pi\)
0.904760 0.425922i \(-0.140050\pi\)
\(212\) −58985.9 + 26937.9i −0.00619071 + 0.00282720i
\(213\) −234680. + 1.63224e6i −0.0242850 + 0.168906i
\(214\) 5.09383e6 + 1.73480e7i 0.519761 + 1.77014i
\(215\) 4.36579e6 + 2.80572e6i 0.439286 + 0.282312i
\(216\) 782796. 1.71408e6i 0.0776761 0.170087i
\(217\) 645312. 2.19773e6i 0.0631525 0.215078i
\(218\) 2.65891e6 2.30396e6i 0.256646 0.222385i
\(219\) 4.31976e6 + 4.98527e6i 0.411270 + 0.474631i
\(220\) 100024. + 29369.6i 0.00939366 + 0.00275823i
\(221\) 1.46157e7 + 6.67477e6i 1.35408 + 0.618386i
\(222\) 4.80340e6 7.47424e6i 0.439026 0.683138i
\(223\) −4.06331e6 + 1.19310e6i −0.366408 + 0.107587i −0.459753 0.888047i \(-0.652062\pi\)
0.0933451 + 0.995634i \(0.470244\pi\)
\(224\) 169269. + 24337.3i 0.0150603 + 0.00216535i
\(225\) 1.32764e6 + 2.90713e6i 0.116556 + 0.255222i
\(226\) 7.23766e6 1.04062e6i 0.627008 0.0901501i
\(227\) 1.08564e7 + 1.68929e7i 0.928129 + 1.44420i 0.895667 + 0.444724i \(0.146698\pi\)
0.0324618 + 0.999473i \(0.489665\pi\)
\(228\) 489491. + 424147.i 0.0412991 + 0.0357859i
\(229\) 1.16015e7i 0.966068i 0.875602 + 0.483034i \(0.160465\pi\)
−0.875602 + 0.483034i \(0.839535\pi\)
\(230\) 1.29244e6 4.79668e6i 0.106225 0.394237i
\(231\) 469378. 0.0380791
\(232\) 2.18442e6 2.52096e6i 0.174933 0.201884i
\(233\) 1.59307e7 1.02381e7i 1.25941 0.809375i 0.271208 0.962521i \(-0.412577\pi\)
0.988204 + 0.153146i \(0.0489406\pi\)
\(234\) −666286. 4.63412e6i −0.0520011 0.361676i
\(235\) 2.47371e6 1.12971e6i 0.190610 0.0870486i
\(236\) −145912. + 1.01484e6i −0.0111008 + 0.0772079i
\(237\) −447870. 1.52531e6i −0.0336440 0.114581i
\(238\) −2.31757e6 1.48941e6i −0.171911 0.110480i
\(239\) −5.27667e6 + 1.15543e7i −0.386515 + 0.846349i 0.611947 + 0.790899i \(0.290387\pi\)
−0.998461 + 0.0554501i \(0.982341\pi\)
\(240\) 939703. 3.20034e6i 0.0679762 0.231506i
\(241\) −1.72467e6 + 1.49443e6i −0.123212 + 0.106764i −0.714288 0.699852i \(-0.753249\pi\)
0.591075 + 0.806617i \(0.298704\pi\)
\(242\) −7.49509e6 8.64980e6i −0.528848 0.610323i
\(243\) 883197. + 259330.i 0.0615515 + 0.0180732i
\(244\) −1.01987e6 465760.i −0.0702063 0.0320621i
\(245\) −3.09849e6 + 4.82135e6i −0.210694 + 0.327846i
\(246\) −1.19056e7 + 3.49579e6i −0.799732 + 0.234823i
\(247\) −2.82880e7 4.06721e6i −1.87721 0.269901i
\(248\) −9.65939e6 2.11511e7i −0.633278 1.38669i
\(249\) −6.56935e6 + 944530.i −0.425524 + 0.0611812i
\(250\) 6.35231e6 + 9.88438e6i 0.406548 + 0.632600i
\(251\) −3.22347e6 2.79315e6i −0.203846 0.176634i 0.546955 0.837162i \(-0.315787\pi\)
−0.750801 + 0.660528i \(0.770332\pi\)
\(252\) 40624.0i 0.00253852i
\(253\) 5.53903e6 5.02122e6i 0.342036 0.310062i
\(254\) 1.54317e7 0.941700
\(255\) −3.47599e6 + 4.01151e6i −0.209632 + 0.241928i
\(256\) 2.25076e6 1.44648e6i 0.134156 0.0862166i
\(257\) −459102. 3.19312e6i −0.0270464 0.188112i 0.971819 0.235727i \(-0.0757471\pi\)
−0.998866 + 0.0476149i \(0.984838\pi\)
\(258\) −1.21496e7 + 5.54855e6i −0.707463 + 0.323087i
\(259\) 484108. 3.36704e6i 0.0278640 0.193798i
\(260\) −112160. 381982.i −0.00638143 0.0217331i
\(261\) 1.37077e6 + 880938.i 0.0770978 + 0.0495477i
\(262\) 8.09823e6 1.77327e7i 0.450284 0.985984i
\(263\) −3.07788e6 + 1.04823e7i −0.169194 + 0.576222i 0.830618 + 0.556842i \(0.187987\pi\)
−0.999812 + 0.0193795i \(0.993831\pi\)
\(264\) 3.60110e6 3.12037e6i 0.195715 0.169588i
\(265\) 618993. + 714356.i 0.0332620 + 0.0383864i
\(266\) 4.70154e6 + 1.38050e6i 0.249802 + 0.0733484i
\(267\) −1.07406e7 4.90508e6i −0.564282 0.257699i
\(268\) −126169. + 196322.i −0.00655461 + 0.0101992i
\(269\) 1.50543e7 4.42034e6i 0.773400 0.227091i 0.128861 0.991663i \(-0.458868\pi\)
0.644538 + 0.764572i \(0.277050\pi\)
\(270\) 1.53089e6 + 220108.i 0.0777771 + 0.0111827i
\(271\) −1.61204e7 3.52988e7i −0.809970 1.77359i −0.607538 0.794290i \(-0.707843\pi\)
−0.202432 0.979296i \(-0.564884\pi\)
\(272\) −2.91619e7 + 4.19284e6i −1.44913 + 0.208354i
\(273\) −969105. 1.50796e6i −0.0476302 0.0741141i
\(274\) −1.09748e7 9.50975e6i −0.533515 0.462293i
\(275\) 8.08146e6i 0.388590i
\(276\) 434581. + 479396.i 0.0206701 + 0.0228017i
\(277\) −3.22593e7 −1.51780 −0.758901 0.651206i \(-0.774263\pi\)
−0.758901 + 0.651206i \(0.774263\pi\)
\(278\) −649355. + 749396.i −0.0302237 + 0.0348800i
\(279\) 9.55529e6 6.14081e6i 0.439978 0.282757i
\(280\) −172520. 1.19990e6i −0.00785894 0.0546602i
\(281\) −1.81282e7 + 8.27889e6i −0.817027 + 0.373124i −0.779680 0.626179i \(-0.784618\pi\)
−0.0373475 + 0.999302i \(0.511891\pi\)
\(282\) −996080. + 6.92789e6i −0.0444168 + 0.308925i
\(283\) 1.03782e7 + 3.53448e7i 0.457891 + 1.55943i 0.788114 + 0.615530i \(0.211058\pi\)
−0.330223 + 0.943903i \(0.607124\pi\)
\(284\) −303602. 195113.i −0.0132541 0.00851788i
\(285\) 3.92197e6 8.58791e6i 0.169422 0.370982i
\(286\) 3.33533e6 1.13591e7i 0.142574 0.485562i
\(287\) −3.59036e6 + 3.11106e6i −0.151877 + 0.131602i
\(288\) 555335. + 640891.i 0.0232476 + 0.0268291i
\(289\) 2.18261e7 + 6.40871e6i 0.904236 + 0.265508i
\(290\) 2.49042e6 + 1.13734e6i 0.102112 + 0.0466332i
\(291\) −4.53740e6 + 7.06033e6i −0.184131 + 0.286514i
\(292\) −1.38517e6 + 406724.i −0.0556360 + 0.0163362i
\(293\) −3.95830e7 5.69118e6i −1.57364 0.226256i −0.700475 0.713677i \(-0.747029\pi\)
−0.873167 + 0.487421i \(0.837938\pi\)
\(294\) −6.12752e6 1.34174e7i −0.241125 0.527991i
\(295\) 1.47929e7 2.12689e6i 0.576217 0.0828475i
\(296\) −1.86696e7 2.90505e7i −0.719881 1.12016i
\(297\) 1.75908e6 + 1.52425e6i 0.0671452 + 0.0581817i
\(298\) 1.42533e7i 0.538601i
\(299\) −2.75678e7 7.42797e6i −1.03131 0.277879i
\(300\) −699441. −0.0259052
\(301\) −3.34886e6 + 3.86480e6i −0.122800 + 0.141719i
\(302\) 4.35383e6 2.79804e6i 0.158071 0.101586i
\(303\) 2.87247e6 + 1.99785e7i 0.103259 + 0.718181i
\(304\) 4.76668e7 2.17687e7i 1.69666 0.774840i
\(305\) −2.32587e6 + 1.61767e7i −0.0819757 + 0.570153i
\(306\) −3.84882e6 1.31079e7i −0.134327 0.457476i
\(307\) 1.69562e7 + 1.08971e7i 0.586022 + 0.376613i 0.799798 0.600269i \(-0.204940\pi\)
−0.213776 + 0.976883i \(0.568576\pi\)
\(308\) −42673.3 + 93441.5i −0.00146051 + 0.00319807i
\(309\) −7.08849e6 + 2.41412e7i −0.240258 + 0.818244i
\(310\) 1.44233e7 1.24979e7i 0.484150 0.419518i
\(311\) 3.34731e7 + 3.86300e7i 1.11279 + 1.28423i 0.954950 + 0.296768i \(0.0959087\pi\)
0.157844 + 0.987464i \(0.449546\pi\)
\(312\) −1.74598e7 5.12665e6i −0.574877 0.168799i
\(313\) −2.06765e7 9.44266e6i −0.674287 0.307937i 0.0486845 0.998814i \(-0.484497\pi\)
−0.722972 + 0.690877i \(0.757224\pi\)
\(314\) 1.38641e7 2.15730e7i 0.447819 0.696820i
\(315\) 568171. 166830.i 0.0181781 0.00533756i
\(316\) 344369. + 49512.8i 0.0109135 + 0.00156912i
\(317\) 1.36638e7 + 2.99194e7i 0.428936 + 0.939238i 0.993498 + 0.113848i \(0.0363176\pi\)
−0.564563 + 0.825390i \(0.690955\pi\)
\(318\) −2.40799e6 + 346217.i −0.0748813 + 0.0107663i
\(319\) 2.22760e6 + 3.46621e6i 0.0686222 + 0.106778i
\(320\) −9.27239e6 8.03457e6i −0.282971 0.245196i
\(321\) 3.43276e7i 1.03784i
\(322\) 4.49730e6 + 1.93328e6i 0.134705 + 0.0579064i
\(323\) −8.33924e7 −2.47468
\(324\) −131922. + 152246.i −0.00387866 + 0.00447621i
\(325\) 2.59631e7 1.66855e7i 0.756321 0.486058i
\(326\) −7.43304e6 5.16979e7i −0.214543 1.49218i
\(327\) 6.07614e6 2.77488e6i 0.173774 0.0793599i
\(328\) −6.86349e6 + 4.77366e7i −0.194502 + 1.35279i
\(329\) 754975. + 2.57121e6i 0.0212005 + 0.0722021i
\(330\) 3.29006e6 + 2.11439e6i 0.0915508 + 0.0588361i
\(331\) −961940. + 2.10635e6i −0.0265255 + 0.0580828i −0.922431 0.386162i \(-0.873801\pi\)
0.895906 + 0.444245i \(0.146528\pi\)
\(332\) 409218. 1.39367e6i 0.0111825 0.0380842i
\(333\) 1.27484e7 1.10465e7i 0.345240 0.299152i
\(334\) 4.32151e7 + 4.98729e7i 1.15983 + 1.33852i
\(335\) 3.26392e6 + 958372.i 0.0868169 + 0.0254918i
\(336\) 2.98973e6 + 1.36536e6i 0.0788160 + 0.0359940i
\(337\) 2.32655e7 3.62018e7i 0.607886 0.945890i −0.391780 0.920059i \(-0.628141\pi\)
0.999666 0.0258306i \(-0.00822306\pi\)
\(338\) −5.35430e6 + 1.57217e6i −0.138661 + 0.0407144i
\(339\) 1.37415e7 + 1.97573e6i 0.352724 + 0.0507141i
\(340\) −482574. 1.05669e6i −0.0122780 0.0268850i
\(341\) 2.84292e7 4.08750e6i 0.716971 0.103085i
\(342\) 1.31369e7 + 2.04414e7i 0.328408 + 0.511012i
\(343\) −8.62508e6 7.47368e6i −0.213738 0.185205i
\(344\) 5.19139e7i 1.27529i
\(345\) 4.92019e6 8.04681e6i 0.119819 0.195960i
\(346\) −1.95094e6 −0.0470995
\(347\) 1.94867e6 2.24889e6i 0.0466392 0.0538245i −0.731951 0.681358i \(-0.761390\pi\)
0.778590 + 0.627533i \(0.215935\pi\)
\(348\) −299996. + 192796.i −0.00711832 + 0.00457467i
\(349\) −9.57140e6 6.65706e7i −0.225164 1.56605i −0.718071 0.695970i \(-0.754975\pi\)
0.492907 0.870082i \(-0.335934\pi\)
\(350\) −4.81335e6 + 2.19818e6i −0.112265 + 0.0512696i
\(351\) 1.26502e6 8.79839e6i 0.0292533 0.203461i
\(352\) 604135. + 2.05749e6i 0.0138518 + 0.0471749i
\(353\) −2.70961e7 1.74136e7i −0.616002 0.395880i 0.195102 0.980783i \(-0.437496\pi\)
−0.811103 + 0.584903i \(0.801133\pi\)
\(354\) −1.59786e7 + 3.49882e7i −0.360188 + 0.788701i
\(355\) −1.48207e6 + 5.04748e6i −0.0331272 + 0.112821i
\(356\) 1.95296e6 1.69225e6i 0.0432856 0.0375072i
\(357\) −3.42524e6 3.95294e6i −0.0752812 0.0868791i
\(358\) 2.78901e7 + 8.18926e6i 0.607856 + 0.178482i
\(359\) 2.77640e6 + 1.26794e6i 0.0600066 + 0.0274041i 0.445192 0.895435i \(-0.353135\pi\)
−0.385186 + 0.922839i \(0.625863\pi\)
\(360\) 3.24998e6 5.05707e6i 0.0696584 0.108391i
\(361\) 9.71779e7 2.85340e7i 2.06560 0.606515i
\(362\) −1.01478e6 145903.i −0.0213917 0.00307566i
\(363\) −9.02706e6 1.97665e7i −0.188724 0.413247i
\(364\) 388303. 55829.5i 0.00805130 0.00115760i
\(365\) 1.13770e7 + 1.77029e7i 0.233963 + 0.364054i
\(366\) −3.17887e7 2.75451e7i −0.648381 0.561825i
\(367\) 2.29605e7i 0.464497i 0.972656 + 0.232249i \(0.0746083\pi\)
−0.972656 + 0.232249i \(0.925392\pi\)
\(368\) 4.98873e7 1.58706e7i 1.00103 0.318457i
\(369\) −2.35583e7 −0.468884
\(370\) 1.85607e7 2.14202e7i 0.366429 0.422882i
\(371\) −783567. + 503568.i −0.0153446 + 0.00986135i
\(372\) 353768. + 2.46051e6i 0.00687211 + 0.0477966i
\(373\) −8.86191e7 + 4.04710e7i −1.70766 + 0.779861i −0.710568 + 0.703629i \(0.751562\pi\)
−0.997090 + 0.0762325i \(0.975711\pi\)
\(374\) 4.91623e6 3.41931e7i 0.0939760 0.653618i
\(375\) 6.28486e6 + 2.14043e7i 0.119180 + 0.405888i
\(376\) 2.28854e7 + 1.47075e7i 0.430521 + 0.276679i
\(377\) 6.53656e6 1.43131e7i 0.121990 0.267121i
\(378\) −429374. + 1.46231e6i −0.00794987 + 0.0270748i
\(379\) 6.87697e7 5.95892e7i 1.26322 1.09459i 0.272010 0.962294i \(-0.412312\pi\)
0.991211 0.132293i \(-0.0422338\pi\)
\(380\) 1.35308e6 + 1.56153e6i 0.0246588 + 0.0284577i
\(381\) 2.81120e7 + 8.25442e6i 0.508296 + 0.149249i
\(382\) 3.95422e7 + 1.80583e7i 0.709367 + 0.323957i
\(383\) 3.65150e6 5.68184e6i 0.0649942 0.101133i −0.807235 0.590230i \(-0.799037\pi\)
0.872230 + 0.489097i \(0.162674\pi\)
\(384\) 3.36388e7 9.87724e6i 0.594083 0.174438i
\(385\) 1.48213e6 + 213098.i 0.0259719 + 0.00373419i
\(386\) 8.69799e6 + 1.90460e7i 0.151237 + 0.331162i
\(387\) −2.51009e7 + 3.60897e6i −0.433069 + 0.0622659i
\(388\) −993021. 1.54517e6i −0.0170006 0.0264534i
\(389\) 4.38990e7 + 3.80387e7i 0.745771 + 0.646214i 0.942486 0.334247i \(-0.108482\pi\)
−0.196715 + 0.980461i \(0.563027\pi\)
\(390\) 1.49354e7i 0.251781i
\(391\) −8.27076e7 1.00059e7i −1.38362 0.167388i
\(392\) −5.73310e7 −0.951768
\(393\) 2.42378e7 2.79719e7i 0.399315 0.460834i
\(394\) −6.26995e7 + 4.02945e7i −1.02512 + 0.658806i
\(395\) −721725. 5.01971e6i −0.0117106 0.0814492i
\(396\) −463366. + 211612.i −0.00746171 + 0.00340765i
\(397\) 9.60529e6 6.68062e7i 0.153511 1.06769i −0.756765 0.653688i \(-0.773221\pi\)
0.910275 0.414003i \(-0.135870\pi\)
\(398\) 1.51576e7 + 5.16221e7i 0.240426 + 0.818816i
\(399\) 7.82638e6 + 5.02971e6i 0.123209 + 0.0791816i
\(400\) −2.35080e7 + 5.14754e7i −0.367313 + 0.804303i
\(401\) 7.01328e6 2.38851e7i 0.108765 0.370419i −0.887066 0.461643i \(-0.847260\pi\)
0.995830 + 0.0912246i \(0.0290781\pi\)
\(402\) −6.61662e6 + 5.73333e6i −0.101849 + 0.0882529i
\(403\) −7.18284e7 8.28944e7i −1.09744 1.26651i
\(404\) −4.23837e6 1.24450e6i −0.0642768 0.0188734i
\(405\) 2.67108e6 + 1.21984e6i 0.0402089 + 0.0183628i
\(406\) −1.45857e6 + 2.26958e6i −0.0217947 + 0.0339132i
\(407\) 4.09269e7 1.20172e7i 0.607052 0.178246i
\(408\) −5.25574e7 7.55662e6i −0.773844 0.111262i
\(409\) 2.97101e7 + 6.50561e7i 0.434245 + 0.950864i 0.992619 + 0.121275i \(0.0386982\pi\)
−0.558374 + 0.829589i \(0.688575\pi\)
\(410\) −3.91806e7 + 5.63332e6i −0.568486 + 0.0817359i
\(411\) −1.49061e7 2.31944e7i −0.214704 0.334085i
\(412\) −4.16146e6 3.60593e6i −0.0595051 0.0515615i
\(413\) 1.47268e7i 0.209054i
\(414\) 1.05763e7 + 2.18497e7i 0.149051 + 0.307925i
\(415\) −2.11725e7 −0.296229
\(416\) 5.36272e6 6.18891e6i 0.0744913 0.0859675i
\(417\) −1.58378e6 + 1.01784e6i −0.0218418 + 0.0140369i
\(418\) 8.74428e6 + 6.08178e7i 0.119728 + 0.832725i
\(419\) 2.70036e7 1.23321e7i 0.367096 0.167647i −0.223322 0.974745i \(-0.571690\pi\)
0.590418 + 0.807097i \(0.298963\pi\)
\(420\) −18443.3 + 128276.i −0.000248938 + 0.00173140i
\(421\) −7.57553e6 2.57999e7i −0.101524 0.345757i 0.893028 0.450000i \(-0.148576\pi\)
−0.994552 + 0.104243i \(0.966758\pi\)
\(422\) 3.79998e7 + 2.44210e7i 0.505644 + 0.324957i
\(423\) −5.52029e6 + 1.20878e7i −0.0729359 + 0.159707i
\(424\) −2.66392e6 + 9.07248e6i −0.0349481 + 0.119022i
\(425\) 6.80594e7 5.89738e7i 0.886587 0.768232i
\(426\) −8.86630e6 1.02323e7i −0.114687 0.132356i
\(427\) −1.54521e7 4.53716e6i −0.198475 0.0582774i
\(428\) −6.83378e6 3.12088e6i −0.0871625 0.0398058i
\(429\) 1.21519e7 1.89088e7i 0.153913 0.239493i
\(430\) −4.08832e7 + 1.20044e7i −0.514209 + 0.150985i
\(431\) −1.14751e8 1.64987e7i −1.43326 0.206072i −0.618463 0.785814i \(-0.712244\pi\)
−0.814800 + 0.579742i \(0.803153\pi\)
\(432\) 6.77069e6 + 1.48257e7i 0.0839811 + 0.183893i
\(433\) 5.16021e6 741926.i 0.0635629 0.00913897i −0.110460 0.993881i \(-0.535232\pi\)
0.174023 + 0.984742i \(0.444323\pi\)
\(434\) 1.01674e7 + 1.58207e7i 0.124377 + 0.193534i
\(435\) 3.92845e6 + 3.40402e6i 0.0477258 + 0.0413546i
\(436\) 1.46189e6i 0.0176382i
\(437\) 1.46164e8 2.43691e7i 1.75144 0.292008i
\(438\) −5.41599e7 −0.644549
\(439\) 2.28971e7 2.64247e7i 0.270637 0.312332i −0.604120 0.796893i \(-0.706475\pi\)
0.874757 + 0.484562i \(0.161021\pi\)
\(440\) 1.27876e7 8.21812e6i 0.150118 0.0964749i
\(441\) −3.98555e6 2.77201e7i −0.0464700 0.323206i
\(442\) −1.20002e8 + 5.48029e7i −1.38970 + 0.634653i
\(443\) −1.78122e7 + 1.23887e8i −0.204884 + 1.42500i 0.584648 + 0.811287i \(0.301233\pi\)
−0.789532 + 0.613710i \(0.789677\pi\)
\(444\) 1.04008e6 + 3.54217e6i 0.0118827 + 0.0404688i
\(445\) −3.16882e7 2.03647e7i −0.359598 0.231099i
\(446\) 1.44440e7 3.16280e7i 0.162811 0.356506i
\(447\) −7.62411e6 + 2.59653e7i −0.0853624 + 0.290718i
\(448\) 9.13702e6 7.91727e6i 0.101618 0.0880524i
\(449\) 3.70757e7 + 4.27876e7i 0.409591 + 0.472693i 0.922638 0.385668i \(-0.126029\pi\)
−0.513047 + 0.858361i \(0.671483\pi\)
\(450\) −2.51772e7 7.39271e6i −0.276293 0.0811271i
\(451\) −5.41877e7 2.47467e7i −0.590706 0.269766i
\(452\) −1.64262e6 + 2.55597e6i −0.0177878 + 0.0276784i
\(453\) 9.42807e6 2.76833e6i 0.101421 0.0297799i
\(454\) −1.63193e8 2.34636e7i −1.74395 0.250742i
\(455\) −2.37547e6 5.20156e6i −0.0252183 0.0552204i
\(456\) 9.34816e7 1.34406e7i 0.985897 0.141751i
\(457\) 2.08694e7 + 3.24734e7i 0.218656 + 0.340235i 0.933201 0.359354i \(-0.117003\pi\)
−0.714546 + 0.699589i \(0.753367\pi\)
\(458\) −7.19879e7 6.23779e7i −0.749313 0.649283i
\(459\) 2.59374e7i 0.268218i
\(460\) 1.15460e6 + 1.71106e6i 0.0118620 + 0.0175789i
\(461\) −1.69673e7 −0.173185 −0.0865927 0.996244i \(-0.527598\pi\)
−0.0865927 + 0.996244i \(0.527598\pi\)
\(462\) −2.52370e6 + 2.91251e6i −0.0255925 + 0.0295353i
\(463\) −2.86714e7 + 1.84260e7i −0.288873 + 0.185647i −0.677049 0.735938i \(-0.736742\pi\)
0.388176 + 0.921585i \(0.373105\pi\)
\(464\) 4.10603e6 + 2.85580e7i 0.0411025 + 0.285874i
\(465\) 3.29601e7 1.50524e7i 0.327816 0.149708i
\(466\) −2.21272e7 + 1.53898e8i −0.218659 + 1.52081i
\(467\) −8.58162e6 2.92263e7i −0.0842595 0.286961i 0.906575 0.422045i \(-0.138688\pi\)
−0.990834 + 0.135084i \(0.956870\pi\)
\(468\) 1.63653e6 + 1.05174e6i 0.0159657 + 0.0102605i
\(469\) −1.39249e6 + 3.04913e6i −0.0134981 + 0.0295568i
\(470\) −6.29053e6 + 2.14236e7i −0.0605890 + 0.206347i
\(471\) 3.67957e7 3.18836e7i 0.352155 0.305144i
\(472\) 9.79020e7 + 1.12985e8i 0.931034 + 1.07447i
\(473\) −6.15270e7 1.80660e7i −0.581410 0.170717i
\(474\) 1.18727e7 + 5.42206e6i 0.111484 + 0.0509131i
\(475\) −8.65986e7 + 1.34750e8i −0.808035 + 1.25733i
\(476\) 1.09834e6 322501.i 0.0101839 0.00299027i
\(477\) −4.57184e6 657331.i −0.0421246 0.00605660i
\(478\) −4.33238e7 9.48660e7i −0.396683 0.868614i
\(479\) 1.39180e7 2.00111e6i 0.126640 0.0182081i −0.0787032 0.996898i \(-0.525078\pi\)
0.205343 + 0.978690i \(0.434169\pi\)
\(480\) 1.46258e6 + 2.27583e6i 0.0132250 + 0.0205786i
\(481\) −1.23108e8 1.06673e8i −1.10624 0.958562i
\(482\) 1.87368e7i 0.167322i
\(483\) 7.15863e6 + 5.92747e6i 0.0635314 + 0.0526051i
\(484\) 4.75571e6 0.0419449
\(485\) −1.75329e7 + 2.02340e7i −0.153684 + 0.177361i
\(486\) −6.35784e6 + 4.08594e6i −0.0553861 + 0.0355945i
\(487\) −3.09096e7 2.14981e8i −0.267613 1.86129i −0.470926 0.882173i \(-0.656080\pi\)
0.203314 0.979114i \(-0.434829\pi\)
\(488\) −1.48713e8 + 6.79148e7i −1.27964 + 0.584393i
\(489\) 1.41124e7 9.81542e7i 0.120691 0.839426i
\(490\) −1.32570e7 4.51493e7i −0.112683 0.383762i
\(491\) 1.47090e8 + 9.45288e7i 1.24262 + 0.798582i 0.985807 0.167880i \(-0.0536921\pi\)
0.256810 + 0.966462i \(0.417328\pi\)
\(492\) 2.14180e6 4.68988e6i 0.0179839 0.0393791i
\(493\) 1.29355e7 4.40544e7i 0.107955 0.367662i
\(494\) 1.77334e8 1.53660e8i 1.47099 1.27462i
\(495\) 4.86252e6 + 5.61165e6i 0.0400909 + 0.0462674i
\(496\) 1.92972e8 + 5.66616e7i 1.58143 + 0.464348i
\(497\) −4.71532e6 2.15341e6i −0.0384098 0.0175412i
\(498\) 2.94606e7 4.58416e7i 0.238536 0.371169i
\(499\) 4.71548e7 1.38459e7i 0.379511 0.111434i −0.0864126 0.996259i \(-0.527540\pi\)
0.465924 + 0.884825i \(0.345722\pi\)
\(500\) −4.83245e6 694801.i −0.0386596 0.00555841i
\(501\) 5.20480e7 + 1.13969e8i 0.413896 + 0.906306i
\(502\) 3.46633e7 4.98382e6i 0.274005 0.0393960i
\(503\) −9.06661e7 1.41079e8i −0.712428 1.10856i −0.989050 0.147580i \(-0.952851\pi\)
0.276622 0.960979i \(-0.410785\pi\)
\(504\) 4.47675e6 + 3.87913e6i 0.0349681 + 0.0303000i
\(505\) 6.43889e7i 0.499962i
\(506\) 1.37522e6 + 6.13676e7i 0.0106150 + 0.473683i
\(507\) −1.05949e7 −0.0812968
\(508\) −4.19904e6 + 4.84595e6i −0.0320301 + 0.0369648i
\(509\) −6.83845e7 + 4.39481e7i −0.518567 + 0.333263i −0.773605 0.633668i \(-0.781548\pi\)
0.255038 + 0.966931i \(0.417912\pi\)
\(510\) −6.20222e6 4.31374e7i −0.0467559 0.325195i
\(511\) −1.88623e7 + 8.61414e6i −0.141362 + 0.0645579i
\(512\) 1.73583e7 1.20730e8i 0.129329 0.899505i
\(513\) 1.29974e7 + 4.42650e7i 0.0962728 + 0.327875i
\(514\) 2.22819e7 + 1.43197e7i 0.164083 + 0.105450i
\(515\) −3.33430e7 + 7.30110e7i −0.244109 + 0.534523i
\(516\) 1.56359e6 5.32508e6i 0.0113808 0.0387594i
\(517\) −2.53950e7 + 2.20049e7i −0.183771 + 0.159239i
\(518\) 1.82898e7 + 2.11075e7i 0.131589 + 0.151862i
\(519\) −3.55404e6 1.04356e6i −0.0254226 0.00746476i
\(520\) −5.28042e7 2.41149e7i −0.375542 0.171504i
\(521\) 1.16629e8 1.81479e8i 0.824699 1.28326i −0.131729 0.991286i \(-0.542053\pi\)
0.956427 0.291970i \(-0.0943108\pi\)
\(522\) −1.28365e7 + 3.76913e6i −0.0902473 + 0.0264990i
\(523\) −8.62375e7 1.23991e7i −0.602825 0.0866731i −0.165856 0.986150i \(-0.553039\pi\)
−0.436968 + 0.899477i \(0.643948\pi\)
\(524\) 3.36494e6 + 7.36820e6i 0.0233875 + 0.0512115i
\(525\) −9.94431e6 + 1.42978e6i −0.0687222 + 0.00988076i
\(526\) −4.84944e7 7.54587e7i −0.333222 0.518504i
\(527\) −2.41883e8 2.09593e8i −1.65262 1.43201i
\(528\) 4.12137e7i 0.279988i
\(529\) 1.47887e8 6.63149e6i 0.998996 0.0447965i
\(530\) −7.76076e6 −0.0521286
\(531\) −4.78235e7 + 5.51912e7i −0.319417 + 0.368626i
\(532\) −1.71282e6 + 1.10077e6i −0.0113757 + 0.00731072i
\(533\) 3.23761e7 + 2.25181e8i 0.213817 + 1.48713i
\(534\) 8.81855e7 4.02729e7i 0.579126 0.264478i
\(535\) −1.55848e7 + 1.08394e8i −0.101774 + 0.707857i
\(536\) 9.58698e6 + 3.26502e7i 0.0622569 + 0.212027i
\(537\) 4.64270e7 + 2.98368e7i 0.299811 + 0.192677i
\(538\) −5.35141e7 + 1.17180e8i −0.343654 + 0.752498i
\(539\) 1.99511e7 6.79472e7i 0.127409 0.433915i
\(540\) −485681. + 420845.i −0.00308440 + 0.00267264i
\(541\) 7.64340e7 + 8.82095e7i 0.482719 + 0.557088i 0.943906 0.330215i \(-0.107121\pi\)
−0.461186 + 0.887303i \(0.652576\pi\)
\(542\) 3.05706e8 + 8.97633e7i 1.92002 + 0.563769i
\(543\) −1.77058e6 808598.i −0.0110590 0.00505049i
\(544\) 1.29189e7 2.01022e7i 0.0802471 0.124867i
\(545\) 2.04461e7 6.00351e6i 0.126305 0.0370865i
\(546\) 1.45675e7 + 2.09449e6i 0.0894969 + 0.0128677i
\(547\) 6.79128e7 + 1.48708e8i 0.414944 + 0.908601i 0.995534 + 0.0944048i \(0.0300948\pi\)
−0.580590 + 0.814196i \(0.697178\pi\)
\(548\) 5.97262e6 858732.i 0.0362930 0.00521815i
\(549\) −4.31758e7 6.71828e7i −0.260929 0.406014i
\(550\) −5.01459e7 4.34516e7i −0.301403 0.261167i
\(551\) 8.16657e7i 0.488185i
\(552\) 9.43267e7 2.11381e6i 0.560812 0.0125675i
\(553\) 4.99728e6 0.0295501
\(554\) 1.73449e8 2.00170e8i 1.02010 1.17725i
\(555\) 4.52699e7 2.90932e7i 0.264808 0.170181i
\(556\) −58636.9 407829.i −0.000341151 0.00237276i
\(557\) 2.63139e8 1.20172e8i 1.52272 0.695402i 0.534041 0.845459i \(-0.320673\pi\)
0.988677 + 0.150057i \(0.0479456\pi\)
\(558\) −1.32719e7 + 9.23083e7i −0.0763892 + 0.531298i
\(559\) 6.89923e7 + 2.34966e8i 0.394971 + 1.34515i
\(560\) 8.82063e6 + 5.66867e6i 0.0502268 + 0.0322788i
\(561\) 2.72458e7 5.96600e7i 0.154316 0.337905i
\(562\) 4.60993e7 1.57000e8i 0.259708 0.884484i
\(563\) −1.02371e8 + 8.87048e7i −0.573655 + 0.497075i −0.892692 0.450667i \(-0.851186\pi\)
0.319037 + 0.947742i \(0.396641\pi\)
\(564\) −1.90450e6 2.19791e6i −0.0106156 0.0122510i
\(565\) 4.24938e7 + 1.24773e7i 0.235602 + 0.0691791i
\(566\) −2.75117e8 1.25642e8i −1.51729 0.692922i
\(567\) −1.56438e6 + 2.43423e6i −0.00858211 + 0.0133540i
\(568\) −5.04919e7 + 1.48258e7i −0.275535 + 0.0809044i
\(569\) −8.10551e7 1.16540e7i −0.439991 0.0632611i −0.0812402 0.996695i \(-0.525888\pi\)
−0.358751 + 0.933433i \(0.616797\pi\)
\(570\) 3.22011e7 + 7.05106e7i 0.173879 + 0.380741i
\(571\) −1.12488e8 + 1.61733e7i −0.604222 + 0.0868740i −0.437635 0.899153i \(-0.644184\pi\)
−0.166587 + 0.986027i \(0.553275\pi\)
\(572\) 2.65949e6 + 4.13824e6i 0.0142105 + 0.0221120i
\(573\) 6.23748e7 + 5.40480e7i 0.331547 + 0.287287i
\(574\) 3.90056e7i 0.206249i
\(575\) −1.02056e8 + 1.23253e8i −0.536826 + 0.648327i
\(576\) 5.99530e7 0.313721
\(577\) 1.84395e8 2.12804e8i 0.959893 1.10778i −0.0342189 0.999414i \(-0.510894\pi\)
0.994112 0.108361i \(-0.0345602\pi\)
\(578\) −1.57119e8 + 1.00974e8i −0.813662 + 0.522909i
\(579\) 5.65748e6 + 3.93486e7i 0.0291466 + 0.202719i
\(580\) −1.03481e6 + 472581.i −0.00530367 + 0.00242210i
\(581\) 2.96917e6 2.06510e7i 0.0151393 0.105296i
\(582\) −1.94134e7 6.61161e7i −0.0984767 0.335381i
\(583\) −9.82543e6 6.31442e6i −0.0495845 0.0318660i
\(584\) −8.74474e7 + 1.91483e8i −0.439044 + 0.961373i
\(585\) 7.98894e6 2.72078e7i 0.0399045 0.135902i
\(586\) 2.48140e8 2.15015e8i 1.23312 1.06850i
\(587\) −4.72359e7 5.45132e7i −0.233538 0.269518i 0.626869 0.779125i \(-0.284336\pi\)
−0.860407 + 0.509607i \(0.829791\pi\)
\(588\) 5.88074e6 + 1.72674e6i 0.0289268 + 0.00849367i
\(589\) 5.17828e8 + 2.36484e8i 2.53419 + 1.15733i
\(590\) −6.63394e7 + 1.03226e8i −0.323009 + 0.502613i
\(591\) −1.35773e8 + 3.98667e7i −0.657737 + 0.193129i
\(592\) 2.95643e8 + 4.25071e7i 1.42496 + 0.204878i
\(593\) 1.09279e8 + 2.39287e8i 0.524048 + 1.14750i 0.967884 + 0.251397i \(0.0808899\pi\)
−0.443836 + 0.896108i \(0.646383\pi\)
\(594\) −1.89161e7 + 2.71972e6i −0.0902550 + 0.0129767i
\(595\) −9.02105e6 1.40370e7i −0.0428259 0.0666384i
\(596\) −4.47591e6 3.87840e6i −0.0211419 0.0183195i
\(597\) 1.02148e8i 0.480073i
\(598\) 1.94315e8 1.31121e8i 0.908661 0.613154i
\(599\) −1.78073e8 −0.828546 −0.414273 0.910153i \(-0.635964\pi\)
−0.414273 + 0.910153i \(0.635964\pi\)
\(600\) −6.67885e7 + 7.70781e7i −0.309206 + 0.356843i
\(601\) −1.22480e8 + 7.87129e7i −0.564210 + 0.362596i −0.791441 0.611245i \(-0.790669\pi\)
0.227232 + 0.973841i \(0.427033\pi\)
\(602\) −5.97539e6 4.15597e7i −0.0273890 0.190495i
\(603\) −1.51203e7 + 6.90520e6i −0.0689617 + 0.0314937i
\(604\) −306043. + 2.12858e6i −0.00138890 + 0.00966003i
\(605\) −1.95302e7 6.65138e7i −0.0881944 0.300363i
\(606\) −1.39412e8 8.95944e7i −0.626443 0.402590i
\(607\) −4.81025e7 + 1.05330e8i −0.215081 + 0.470961i −0.986164 0.165773i \(-0.946988\pi\)
0.771083 + 0.636734i \(0.219715\pi\)
\(608\) −1.19742e7 + 4.07803e7i −0.0532764 + 0.181443i
\(609\) −3.87109e6 + 3.35432e6i −0.0171388 + 0.0148509i
\(610\) −8.78720e7 1.01410e8i −0.387134 0.446776i
\(611\) 1.23127e8 + 3.61533e7i 0.539795 + 0.158498i
\(612\) 5.16350e6 + 2.35809e6i 0.0225263 + 0.0102874i
\(613\) −1.76808e8 + 2.75119e8i −0.767575 + 1.19437i 0.208730 + 0.977973i \(0.433067\pi\)
−0.976305 + 0.216397i \(0.930569\pi\)
\(614\) −1.58786e8 + 4.66236e7i −0.685971 + 0.201419i
\(615\) −7.43887e7 1.06955e7i −0.319802 0.0459807i
\(616\) 6.22240e6 + 1.36252e7i 0.0266205 + 0.0582907i
\(617\) 1.21705e8 1.74985e7i 0.518145 0.0744980i 0.121719 0.992565i \(-0.461159\pi\)
0.396426 + 0.918067i \(0.370250\pi\)
\(618\) −1.11684e8 1.73784e8i −0.473181 0.736284i
\(619\) −2.20970e8 1.91472e8i −0.931670 0.807297i 0.0498298 0.998758i \(-0.484132\pi\)
−0.981500 + 0.191461i \(0.938678\pi\)
\(620\) 7.93003e6i 0.0332736i
\(621\) 7.57949e6 + 4.54610e7i 0.0316494 + 0.189830i
\(622\) −4.19676e8 −1.74399
\(623\) 2.43070e7 2.80518e7i 0.100524 0.116010i
\(624\) 1.32406e8 8.50922e7i 0.544947 0.350216i
\(625\) −1.91180e7 1.32968e8i −0.0783072 0.544639i
\(626\) 1.69764e8 7.75286e7i 0.692026 0.316038i
\(627\) −1.66020e7 + 1.15469e8i −0.0673530 + 0.468451i
\(628\) 3.00198e6 + 1.02238e7i 0.0121207 + 0.0412794i
\(629\) −3.99866e8 2.56978e8i −1.60680 1.03263i
\(630\) −2.01970e6 + 4.42253e6i −0.00807728 + 0.0176868i
\(631\) 2.76196e7 9.40638e7i 0.109933 0.374399i −0.886088 0.463518i \(-0.846587\pi\)
0.996021 + 0.0891191i \(0.0284052\pi\)
\(632\) 3.83395e7 3.32214e7i 0.151878 0.131603i
\(633\) 5.61616e7 + 6.48140e7i 0.221426 + 0.255539i
\(634\) −2.59118e8 7.60838e7i −1.01678 0.298555i
\(635\) 8.50200e7 + 3.88273e7i 0.332047 + 0.151641i
\(636\) 546505. 850379.i 0.00212433 0.00330553i
\(637\) −2.59484e8 + 7.61914e7i −1.00390 + 0.294773i
\(638\) −3.34851e7 4.81443e6i −0.128941 0.0185389i
\(639\) −1.06785e7 2.33827e7i −0.0409269 0.0896174i
\(640\) 1.10704e8 1.59168e7i 0.422301 0.0607177i
\(641\) −1.12474e8 1.75013e8i −0.427049 0.664502i 0.559338 0.828940i \(-0.311055\pi\)
−0.986387 + 0.164438i \(0.947419\pi\)
\(642\) −2.13004e8 1.84569e8i −0.804977 0.697517i
\(643\) 3.60625e8i 1.35651i −0.734827 0.678255i \(-0.762736\pi\)
0.734827 0.678255i \(-0.237264\pi\)
\(644\) −1.83084e6 + 886213.i −0.00685475 + 0.00331803i
\(645\) −8.08983e7 −0.301481
\(646\) 4.48376e8 5.17454e8i 1.66320 1.91944i
\(647\) 1.99153e8 1.27988e8i 0.735315 0.472559i −0.118619 0.992940i \(-0.537847\pi\)
0.853934 + 0.520381i \(0.174210\pi\)
\(648\) 4.18042e6 + 2.90754e7i 0.0153637 + 0.106857i
\(649\) −1.67977e8 + 7.67123e7i −0.614490 + 0.280628i
\(650\) −3.60618e7 + 2.50815e8i −0.131313 + 0.913300i
\(651\) 1.00594e7 + 3.42592e7i 0.0364611 + 0.124175i
\(652\) 1.82570e7 + 1.17331e7i 0.0658700 + 0.0423321i
\(653\) −8.90224e7 + 1.94932e8i −0.319713 + 0.700073i −0.999442 0.0333895i \(-0.989370\pi\)
0.679730 + 0.733463i \(0.262097\pi\)
\(654\) −1.54514e7 + 5.26225e7i −0.0552374 + 0.188121i
\(655\) 8.92335e7 7.73213e7i 0.317544 0.275154i
\(656\) −2.73167e8 3.15251e8i −0.967646 1.11672i
\(657\) −9.86633e7 2.89702e7i −0.347904 0.102154i
\(658\) −2.00138e7 9.13998e6i −0.0702508 0.0320824i
\(659\) −2.02033e8 + 3.14369e8i −0.705937 + 1.09846i 0.284255 + 0.958749i \(0.408254\pi\)
−0.990192 + 0.139711i \(0.955383\pi\)
\(660\) −1.55922e6 + 457827.i −0.00542343 + 0.00159246i
\(661\) 1.29884e7 + 1.86746e6i 0.0449731 + 0.00646615i 0.164765 0.986333i \(-0.447314\pi\)
−0.119792 + 0.992799i \(0.538223\pi\)
\(662\) −7.89796e6 1.72941e7i −0.0272233 0.0596108i
\(663\) −2.47921e8 + 3.56457e7i −0.850694 + 0.122311i
\(664\) −1.14506e8 1.78175e8i −0.391133 0.608614i
\(665\) 2.24294e7 + 1.94352e7i 0.0762699 + 0.0660883i
\(666\) 1.38498e8i 0.468836i
\(667\) −9.79871e6 + 8.09951e7i −0.0330211 + 0.272949i
\(668\) −2.74204e7 −0.0919908
\(669\) 4.32305e7 4.98907e7i 0.144382 0.166625i
\(670\) −2.34959e7 + 1.50999e7i −0.0781208 + 0.0502052i
\(671\) −2.87390e7 1.99884e8i −0.0951272 0.661624i
\(672\) −2.42488e6 + 1.10741e6i −0.00799066 + 0.00364921i
\(673\) −2.42695e7 + 1.68798e8i −0.0796189 + 0.553762i 0.910498 + 0.413514i \(0.135699\pi\)
−0.990117 + 0.140247i \(0.955210\pi\)
\(674\) 9.95423e7 + 3.39010e8i 0.325108 + 1.10722i
\(675\) −4.19111e7 2.69346e7i −0.136276 0.0875790i
\(676\) 963232. 2.10918e6i 0.00311811 0.00682770i
\(677\) 4.77017e7 1.62457e8i 0.153733 0.523567i −0.846224 0.532828i \(-0.821129\pi\)
0.999957 + 0.00926012i \(0.00294763\pi\)
\(678\) −8.61435e7 + 7.46437e7i −0.276397 + 0.239499i
\(679\) −1.72769e7 1.99386e7i −0.0551895 0.0636921i
\(680\) −1.62527e8 4.77222e7i −0.516890 0.151773i
\(681\) −2.84738e8 1.30036e8i −0.901581 0.411738i
\(682\) −1.27492e8 + 1.98382e8i −0.401912 + 0.625387i
\(683\) 6.71011e7 1.97027e7i 0.210605 0.0618391i −0.174728 0.984617i \(-0.555905\pi\)
0.385333 + 0.922778i \(0.374087\pi\)
\(684\) −9.99372e6 1.43688e6i −0.0312291 0.00449006i
\(685\) −3.65380e7 8.00070e7i −0.113677 0.248918i
\(686\) 9.27490e7 1.33353e7i 0.287301 0.0413076i
\(687\) −9.77746e7 1.52140e8i −0.301548 0.469217i
\(688\) −3.39348e8 2.94047e8i −1.04203 0.902925i
\(689\) 4.46030e7i 0.136366i
\(690\) 2.34765e7 + 7.37953e7i 0.0714637 + 0.224637i
\(691\) 4.31407e8 1.30753 0.653767 0.756696i \(-0.273188\pi\)
0.653767 + 0.756696i \(0.273188\pi\)
\(692\) 530861. 612647.i 0.00160200 0.00184881i
\(693\) −6.15534e6 + 3.95580e6i −0.0184949 + 0.0118860i
\(694\) 3.47702e6 + 2.41832e7i 0.0104023 + 0.0723495i
\(695\) −5.46312e6 + 2.49493e6i −0.0162737 + 0.00743196i
\(696\) −7.40015e6 + 5.14692e7i −0.0219489 + 0.152658i
\(697\) 1.87022e8 + 6.36938e8i 0.552324 + 1.88104i
\(698\) 4.64536e8 + 2.98539e8i 1.36601 + 0.877880i
\(699\) −1.22629e8 + 2.68520e8i −0.359056 + 0.786223i
\(700\) 619451. 2.10965e6i 0.00180598 0.00615060i
\(701\) 3.08046e8 2.66923e8i 0.894254 0.774875i −0.0808262 0.996728i \(-0.525756\pi\)
0.975080 + 0.221853i \(0.0712104\pi\)
\(702\) 4.77928e7 + 5.51558e7i 0.138150 + 0.159434i
\(703\) 8.11187e8 + 2.38186e8i 2.33483 + 0.685567i
\(704\) 1.37901e8 + 6.29773e7i 0.395230 + 0.180495i
\(705\) −2.29190e7 + 3.56626e7i −0.0654075 + 0.101776i
\(706\) 2.53740e8 7.45047e7i 0.721065 0.211724i
\(707\) −6.28030e7 9.02971e6i −0.177714 0.0255515i
\(708\) −6.63936e6 1.45382e7i −0.0187080 0.0409647i
\(709\) −6.91630e7 + 9.94414e6i −0.194060 + 0.0279016i −0.238659 0.971103i \(-0.576708\pi\)
0.0445996 + 0.999005i \(0.485799\pi\)
\(710\) −2.33512e7 3.63351e7i −0.0652429 0.101520i
\(711\) 1.87282e7 + 1.62281e7i 0.0521060 + 0.0451501i
\(712\) 3.76806e8i 1.04395i
\(713\) 4.85201e8 + 2.96674e8i 1.33861 + 0.818486i
\(714\) 4.29447e7 0.117982
\(715\) 4.69561e7 5.41902e7i 0.128462 0.148253i
\(716\) −1.01607e7 + 6.52986e6i −0.0276811 + 0.0177896i
\(717\) −2.81793e7 1.95992e8i −0.0764493 0.531716i
\(718\) −2.27955e7 + 1.04104e7i −0.0615852 + 0.0281250i
\(719\) 2.16685e7 1.50708e8i 0.0582965 0.405461i −0.939690 0.342028i \(-0.888886\pi\)
0.997986 0.0634326i \(-0.0202048\pi\)
\(720\) 1.46485e7 + 4.98883e7i 0.0392461 + 0.133660i
\(721\) −6.65368e7 4.27606e7i −0.177524 0.114088i
\(722\) −3.45442e8 + 7.56413e8i −0.917833 + 2.00977i
\(723\) 1.00223e7 3.41329e7i 0.0265188 0.0903146i
\(724\) 321944. 278966.i 0.000848329 0.000735081i
\(725\) −5.77527e7 6.66501e7i −0.151551 0.174899i
\(726\) 1.71188e8 + 5.02653e7i 0.447366 + 0.131359i
\(727\) −5.55569e7 2.53720e7i −0.144589 0.0660315i 0.341807 0.939770i \(-0.388961\pi\)
−0.486395 + 0.873739i \(0.661689\pi\)
\(728\) 3.09260e7 4.81219e7i 0.0801549 0.124724i
\(729\) −1.37677e7 + 4.04255e6i −0.0355368 + 0.0104345i
\(730\) −1.71018e8 2.45886e7i −0.439615 0.0632071i
\(731\) 2.96843e8 + 6.49994e8i 0.759931 + 1.66402i
\(732\) 1.72997e7 2.48733e6i 0.0441069 0.00634162i
\(733\) 2.06086e8 + 3.20676e8i 0.523283 + 0.814244i 0.997820 0.0659914i \(-0.0210210\pi\)
−0.474537 + 0.880235i \(0.657385\pi\)
\(734\) −1.42471e8 1.23452e8i −0.360279 0.312183i
\(735\) 8.93398e7i 0.225000i
\(736\) −1.67689e7 + 3.90087e7i −0.0420602 + 0.0978427i
\(737\) −4.20325e7 −0.104998
\(738\) 1.26666e8 1.46180e8i 0.315131 0.363681i
\(739\) −1.21515e8 + 7.80927e7i −0.301089 + 0.193498i −0.682458 0.730925i \(-0.739089\pi\)
0.381369 + 0.924423i \(0.375453\pi\)
\(740\) 1.67604e6 + 1.16571e7i 0.00413608 + 0.0287671i
\(741\) 4.05242e8 1.85068e8i 0.996002 0.454859i
\(742\) 1.08835e6 7.56961e6i 0.00266413 0.0185294i
\(743\) −3.84244e7 1.30861e8i −0.0936786 0.319040i 0.899300 0.437332i \(-0.144076\pi\)
−0.992979 + 0.118292i \(0.962258\pi\)
\(744\) 3.04928e8 + 1.95965e8i 0.740421 + 0.475840i
\(745\) −3.58625e7 + 7.85279e7i −0.0867305 + 0.189913i
\(746\) 2.25354e8 7.67486e8i 0.542812 1.84865i
\(747\) 7.81892e7 6.77513e7i 0.187579 0.162538i
\(748\) 9.39979e6 + 1.08479e7i 0.0224602 + 0.0259204i
\(749\) −1.03539e8 3.04018e7i −0.246410 0.0723526i
\(750\) −1.66606e8 7.60865e7i −0.394919 0.180353i
\(751\) 7.84986e7 1.22146e8i 0.185328 0.288377i −0.736140 0.676829i \(-0.763354\pi\)
0.921469 + 0.388452i \(0.126990\pi\)
\(752\) −2.25765e8 + 6.62906e7i −0.530889 + 0.155883i
\(753\) 6.58120e7 + 9.46234e6i 0.154142 + 0.0221622i
\(754\) 5.36681e7 + 1.17517e8i 0.125199 + 0.274149i
\(755\) 3.10273e7 4.46105e6i 0.0720947 0.0103656i
\(756\) −342369. 532737.i −0.000792373 0.00123296i
\(757\) 3.21859e8 + 2.78892e8i 0.741956 + 0.642908i 0.941513 0.336978i \(-0.109405\pi\)
−0.199557 + 0.979886i \(0.563950\pi\)
\(758\) 7.47113e8i 1.71545i
\(759\) −3.03203e7 + 1.12529e8i −0.0693439 + 0.257359i
\(760\) 3.01284e8 0.686333
\(761\) 1.24054e8 1.43166e8i 0.281487 0.324853i −0.597345 0.801984i \(-0.703778\pi\)
0.878832 + 0.477131i \(0.158323\pi\)
\(762\) −2.02369e8 + 1.30055e8i −0.457382 + 0.293941i
\(763\) 2.98835e6 + 2.07844e7i 0.00672756 + 0.0467912i
\(764\) −1.64304e7 + 7.50352e6i −0.0368441 + 0.0168261i
\(765\) 1.17756e7