Properties

Label 43.7.d.a.7.17
Level 43
Weight 7
Character 43.7
Analytic conductor 9.892
Analytic rank 0
Dimension 42
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 43.d (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(9.89232559565\)
Analytic rank: \(0\)
Dimension: \(42\)
Relative dimension: \(21\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 7.17
Character \(\chi\) \(=\) 43.7
Dual form 43.7.d.a.37.5

$q$-expansion

\(f(q)\) \(=\) \(q+9.90547i q^{2} +(12.0709 - 6.96915i) q^{3} -34.1183 q^{4} +(-41.4735 + 23.9447i) q^{5} +(69.0327 + 119.568i) q^{6} +(-415.762 - 240.040i) q^{7} +295.992i q^{8} +(-267.362 + 463.084i) q^{9} +O(q^{10})\) \(q+9.90547i q^{2} +(12.0709 - 6.96915i) q^{3} -34.1183 q^{4} +(-41.4735 + 23.9447i) q^{5} +(69.0327 + 119.568i) q^{6} +(-415.762 - 240.040i) q^{7} +295.992i q^{8} +(-267.362 + 463.084i) q^{9} +(-237.184 - 410.814i) q^{10} -1050.18 q^{11} +(-411.839 + 237.776i) q^{12} +(-1567.47 + 2714.94i) q^{13} +(2377.71 - 4118.32i) q^{14} +(-333.749 + 578.070i) q^{15} -5115.51 q^{16} +(1146.21 - 1985.29i) q^{17} +(-4587.07 - 2648.34i) q^{18} +(10015.3 - 5782.31i) q^{19} +(1415.00 - 816.953i) q^{20} -6691.51 q^{21} -10402.5i q^{22} +(-8694.71 - 15059.7i) q^{23} +(2062.82 + 3572.90i) q^{24} +(-6665.80 + 11545.5i) q^{25} +(-26892.7 - 15526.5i) q^{26} +17614.2i q^{27} +(14185.1 + 8189.76i) q^{28} +(23889.4 + 13792.6i) q^{29} +(-5726.05 - 3305.94i) q^{30} +(23677.4 + 41010.4i) q^{31} -31728.0i q^{32} +(-12676.6 + 7318.86i) q^{33} +(19665.3 + 11353.7i) q^{34} +22990.8 q^{35} +(9121.93 - 15799.6i) q^{36} +(-62039.1 + 35818.3i) q^{37} +(57276.5 + 99205.8i) q^{38} +43695.7i q^{39} +(-7087.45 - 12275.8i) q^{40} -23687.0 q^{41} -66282.5i q^{42} +(-32889.9 - 72385.2i) q^{43} +35830.3 q^{44} -25607.6i q^{45} +(149173. - 86125.2i) q^{46} +154554. q^{47} +(-61749.0 + 35650.8i) q^{48} +(56414.1 + 97712.1i) q^{49} +(-114364. - 66027.9i) q^{50} -31952.4i q^{51} +(53479.4 - 92629.0i) q^{52} +(50382.4 + 87264.9i) q^{53} -174477. q^{54} +(43554.6 - 25146.2i) q^{55} +(71050.1 - 123062. i) q^{56} +(80595.6 - 139596. i) q^{57} +(-136622. + 236636. i) q^{58} -380692. q^{59} +(11386.9 - 19722.8i) q^{60} +(211205. + 121939. i) q^{61} +(-406227. + 234536. i) q^{62} +(222318. - 128355. i) q^{63} -13111.8 q^{64} -150130. i q^{65} +(-72496.7 - 125568. i) q^{66} +(128636. + 222804. i) q^{67} +(-39106.7 + 67734.8i) q^{68} +(-209907. - 121190. i) q^{69} +227734. i q^{70} +(-240547. - 138880. i) q^{71} +(-137069. - 79137.1i) q^{72} +(82166.8 + 47439.0i) q^{73} +(-354797. - 614527. i) q^{74} +185820. i q^{75} +(-341703. + 197282. i) q^{76} +(436624. + 252085. i) q^{77} -432827. q^{78} +(-80984.1 + 140269. i) q^{79} +(212158. - 122490. i) q^{80} +(-72150.9 - 124969. i) q^{81} -234631. i q^{82} +(-98071.2 - 169864. i) q^{83} +228303. q^{84} +109783. i q^{85} +(717009. - 325790. i) q^{86} +384490. q^{87} -310845. i q^{88} +(227218. - 131184. i) q^{89} +253655. q^{90} +(1.30339e6 - 752512. i) q^{91} +(296649. + 513811. i) q^{92} +(571616. + 330023. i) q^{93} +1.53092e6i q^{94} +(-276912. + 479625. i) q^{95} +(-221118. - 382987. i) q^{96} +27971.4 q^{97} +(-967884. + 558808. i) q^{98} +(280778. - 486321. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 42q - 3q^{3} - 1194q^{4} - 3q^{5} + 111q^{6} - 147q^{7} + 3852q^{9} + O(q^{10}) \) \( 42q - 3q^{3} - 1194q^{4} - 3q^{5} + 111q^{6} - 147q^{7} + 3852q^{9} - 981q^{10} - 4104q^{11} + 918q^{12} + 4843q^{13} + 2814q^{14} - 163q^{15} + 36678q^{16} + 3641q^{17} - 507q^{18} - 5229q^{19} - 1599q^{20} - 29990q^{21} + 6575q^{23} - 4622q^{24} + 68484q^{25} + 189q^{26} + 48948q^{28} + 95361q^{29} - 85041q^{30} - 79373q^{31} - 79638q^{33} - 184743q^{34} - 80582q^{35} + 59972q^{36} - 66063q^{37} - 69820q^{38} + 189951q^{40} + 40632q^{41} - 368728q^{43} + 130330q^{44} + 34056q^{46} - 247820q^{47} + 326907q^{48} - 21876q^{49} - 28638q^{50} - 617150q^{52} + 11639q^{53} + 655904q^{54} - 43638q^{55} + 553875q^{56} - 422859q^{57} + 587796q^{58} - 649352q^{59} + 875455q^{60} - 52251q^{61} + 1335249q^{62} + 93690q^{63} - 792420q^{64} + 160395q^{66} - 173603q^{67} + 22286q^{68} + 870417q^{69} + 1670505q^{71} - 2068518q^{72} - 2646201q^{73} - 1625030q^{74} - 80622q^{76} - 486066q^{77} + 2835040q^{78} + 1897639q^{79} - 817059q^{80} + 2215367q^{81} + 1584059q^{83} - 824560q^{84} - 2333682q^{86} - 5547198q^{87} + 2736939q^{89} + 1092196q^{90} - 3724131q^{91} + 470257q^{92} + 488433q^{93} - 1289839q^{95} + 1697650q^{96} + 5260848q^{97} + 4722621q^{98} + 1375834q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 9.90547i 1.23818i 0.785319 + 0.619092i \(0.212499\pi\)
−0.785319 + 0.619092i \(0.787501\pi\)
\(3\) 12.0709 6.96915i 0.447071 0.258117i −0.259521 0.965737i \(-0.583565\pi\)
0.706593 + 0.707621i \(0.250231\pi\)
\(4\) −34.1183 −0.533098
\(5\) −41.4735 + 23.9447i −0.331788 + 0.191558i −0.656635 0.754209i \(-0.728021\pi\)
0.324847 + 0.945767i \(0.394687\pi\)
\(6\) 69.0327 + 119.568i 0.319596 + 0.553556i
\(7\) −415.762 240.040i −1.21213 0.699826i −0.248910 0.968527i \(-0.580072\pi\)
−0.963224 + 0.268701i \(0.913406\pi\)
\(8\) 295.992i 0.578110i
\(9\) −267.362 + 463.084i −0.366751 + 0.635232i
\(10\) −237.184 410.814i −0.237184 0.410814i
\(11\) −1050.18 −0.789015 −0.394508 0.918893i \(-0.629085\pi\)
−0.394508 + 0.918893i \(0.629085\pi\)
\(12\) −411.839 + 237.776i −0.238333 + 0.137602i
\(13\) −1567.47 + 2714.94i −0.713459 + 1.23575i 0.250092 + 0.968222i \(0.419539\pi\)
−0.963551 + 0.267525i \(0.913794\pi\)
\(14\) 2377.71 4118.32i 0.866513 1.50084i
\(15\) −333.749 + 578.070i −0.0988885 + 0.171280i
\(16\) −5115.51 −1.24890
\(17\) 1146.21 1985.29i 0.233301 0.404090i −0.725476 0.688247i \(-0.758380\pi\)
0.958778 + 0.284157i \(0.0917138\pi\)
\(18\) −4587.07 2648.34i −0.786534 0.454106i
\(19\) 10015.3 5782.31i 1.46016 0.843025i 0.461144 0.887325i \(-0.347439\pi\)
0.999018 + 0.0442998i \(0.0141057\pi\)
\(20\) 1415.00 816.953i 0.176875 0.102119i
\(21\) −6691.51 −0.722547
\(22\) 10402.5i 0.976946i
\(23\) −8694.71 15059.7i −0.714614 1.23775i −0.963108 0.269115i \(-0.913269\pi\)
0.248494 0.968634i \(-0.420065\pi\)
\(24\) 2062.82 + 3572.90i 0.149220 + 0.258456i
\(25\) −6665.80 + 11545.5i −0.426611 + 0.738912i
\(26\) −26892.7 15526.5i −1.53008 0.883393i
\(27\) 17614.2i 0.894892i
\(28\) 14185.1 + 8189.76i 0.646186 + 0.373076i
\(29\) 23889.4 + 13792.6i 0.979517 + 0.565524i 0.902124 0.431477i \(-0.142007\pi\)
0.0773924 + 0.997001i \(0.475341\pi\)
\(30\) −5726.05 3305.94i −0.212076 0.122442i
\(31\) 23677.4 + 41010.4i 0.794783 + 1.37660i 0.922977 + 0.384855i \(0.125749\pi\)
−0.128194 + 0.991749i \(0.540918\pi\)
\(32\) 31728.0i 0.968263i
\(33\) −12676.6 + 7318.86i −0.352746 + 0.203658i
\(34\) 19665.3 + 11353.7i 0.500337 + 0.288870i
\(35\) 22990.8 0.536228
\(36\) 9121.93 15799.6i 0.195515 0.338641i
\(37\) −62039.1 + 35818.3i −1.22479 + 0.707131i −0.965935 0.258786i \(-0.916678\pi\)
−0.258852 + 0.965917i \(0.583344\pi\)
\(38\) 57276.5 + 99205.8i 1.04382 + 1.80795i
\(39\) 43695.7i 0.736623i
\(40\) −7087.45 12275.8i −0.110741 0.191810i
\(41\) −23687.0 −0.343683 −0.171842 0.985125i \(-0.554972\pi\)
−0.171842 + 0.985125i \(0.554972\pi\)
\(42\) 66282.5i 0.894646i
\(43\) −32889.9 72385.2i −0.413673 0.910426i
\(44\) 35830.3 0.420623
\(45\) 25607.6i 0.281016i
\(46\) 149173. 86125.2i 1.53256 0.884824i
\(47\) 154554. 1.48863 0.744313 0.667831i \(-0.232777\pi\)
0.744313 + 0.667831i \(0.232777\pi\)
\(48\) −61749.0 + 35650.8i −0.558349 + 0.322363i
\(49\) 56414.1 + 97712.1i 0.479512 + 0.830539i
\(50\) −114364. 66027.9i −0.914909 0.528223i
\(51\) 31952.4i 0.240876i
\(52\) 53479.4 92629.0i 0.380344 0.658775i
\(53\) 50382.4 + 87264.9i 0.338416 + 0.586154i 0.984135 0.177421i \(-0.0567754\pi\)
−0.645719 + 0.763575i \(0.723442\pi\)
\(54\) −174477. −1.10804
\(55\) 43554.6 25146.2i 0.261786 0.151142i
\(56\) 71050.1 123062.i 0.404576 0.700747i
\(57\) 80595.6 139596.i 0.435198 0.753785i
\(58\) −136622. + 236636.i −0.700223 + 1.21282i
\(59\) −380692. −1.85361 −0.926803 0.375548i \(-0.877455\pi\)
−0.926803 + 0.375548i \(0.877455\pi\)
\(60\) 11386.9 19722.8i 0.0527173 0.0913090i
\(61\) 211205. + 121939.i 0.930498 + 0.537223i 0.886969 0.461829i \(-0.152807\pi\)
0.0435288 + 0.999052i \(0.486140\pi\)
\(62\) −406227. + 234536.i −1.70449 + 0.984087i
\(63\) 222318. 128355.i 0.889104 0.513324i
\(64\) −13111.8 −0.0500177
\(65\) 150130.i 0.546674i
\(66\) −72496.7 125568.i −0.252166 0.436764i
\(67\) 128636. + 222804.i 0.427698 + 0.740795i 0.996668 0.0815630i \(-0.0259912\pi\)
−0.568970 + 0.822358i \(0.692658\pi\)
\(68\) −39106.7 + 67734.8i −0.124373 + 0.215419i
\(69\) −209907. 121190.i −0.638967 0.368908i
\(70\) 227734.i 0.663949i
\(71\) −240547. 138880.i −0.672085 0.388028i 0.124781 0.992184i \(-0.460177\pi\)
−0.796866 + 0.604156i \(0.793510\pi\)
\(72\) −137069. 79137.1i −0.367234 0.212023i
\(73\) 82166.8 + 47439.0i 0.211217 + 0.121946i 0.601877 0.798589i \(-0.294420\pi\)
−0.390660 + 0.920535i \(0.627753\pi\)
\(74\) −354797. 614527.i −0.875558 1.51651i
\(75\) 185820.i 0.440462i
\(76\) −341703. + 197282.i −0.778410 + 0.449415i
\(77\) 436624. + 252085.i 0.956392 + 0.552173i
\(78\) −432827. −0.912074
\(79\) −80984.1 + 140269.i −0.164255 + 0.284498i −0.936390 0.350960i \(-0.885855\pi\)
0.772135 + 0.635458i \(0.219189\pi\)
\(80\) 212158. 122490.i 0.414371 0.239237i
\(81\) −72150.9 124969.i −0.135765 0.235151i
\(82\) 234631.i 0.425543i
\(83\) −98071.2 169864.i −0.171517 0.297076i 0.767433 0.641129i \(-0.221533\pi\)
−0.938950 + 0.344053i \(0.888200\pi\)
\(84\) 228303. 0.385188
\(85\) 109783.i 0.178763i
\(86\) 717009. 325790.i 1.12727 0.512203i
\(87\) 384490. 0.583885
\(88\) 310845.i 0.456138i
\(89\) 227218. 131184.i 0.322309 0.186085i −0.330112 0.943942i \(-0.607087\pi\)
0.652422 + 0.757856i \(0.273753\pi\)
\(90\) 253655. 0.347950
\(91\) 1.30339e6 752512.i 1.72962 0.998594i
\(92\) 296649. + 513811.i 0.380960 + 0.659841i
\(93\) 571616. + 330023.i 0.710649 + 0.410294i
\(94\) 1.53092e6i 1.84319i
\(95\) −276912. + 479625.i −0.322976 + 0.559411i
\(96\) −221118. 382987.i −0.249925 0.432883i
\(97\) 27971.4 0.0306478 0.0153239 0.999883i \(-0.495122\pi\)
0.0153239 + 0.999883i \(0.495122\pi\)
\(98\) −967884. + 558808.i −1.02836 + 0.593724i
\(99\) 280778. 486321.i 0.289372 0.501208i
\(100\) 227426. 393913.i 0.227426 0.393913i
\(101\) −1393.95 + 2414.38i −0.00135295 + 0.00234338i −0.866701 0.498828i \(-0.833764\pi\)
0.865348 + 0.501171i \(0.167097\pi\)
\(102\) 316504. 0.298249
\(103\) 366787. 635294.i 0.335662 0.581384i −0.647950 0.761683i \(-0.724373\pi\)
0.983612 + 0.180299i \(0.0577066\pi\)
\(104\) −803601. 463959.i −0.714398 0.412458i
\(105\) 277520. 160226.i 0.239732 0.138409i
\(106\) −864400. + 499061.i −0.725767 + 0.419022i
\(107\) −1.98925e6 −1.62382 −0.811911 0.583781i \(-0.801573\pi\)
−0.811911 + 0.583781i \(0.801573\pi\)
\(108\) 600965.i 0.477065i
\(109\) 1.11975e6 + 1.93947e6i 0.864656 + 1.49763i 0.867388 + 0.497632i \(0.165797\pi\)
−0.00273211 + 0.999996i \(0.500870\pi\)
\(110\) 249085. + 431428.i 0.187141 + 0.324139i
\(111\) −499247. + 864720.i −0.365045 + 0.632276i
\(112\) 2.12684e6 + 1.22793e6i 1.51384 + 0.874015i
\(113\) 850675.i 0.589561i 0.955565 + 0.294780i \(0.0952465\pi\)
−0.955565 + 0.294780i \(0.904754\pi\)
\(114\) 1.38276e6 + 798337.i 0.933324 + 0.538855i
\(115\) 721200. + 416385.i 0.474201 + 0.273780i
\(116\) −815066. 470579.i −0.522178 0.301480i
\(117\) −838163. 1.45174e6i −0.523324 0.906424i
\(118\) 3.77093e6i 2.29510i
\(119\) −953100. + 550273.i −0.565585 + 0.326541i
\(120\) −171104. 98787.1i −0.0990187 0.0571685i
\(121\) −668685. −0.377455
\(122\) −1.20787e6 + 2.09209e6i −0.665181 + 1.15213i
\(123\) −285924. + 165078.i −0.153651 + 0.0887103i
\(124\) −807832. 1.39921e6i −0.423697 0.733865i
\(125\) 1.38672e6i 0.709998i
\(126\) 1.27142e6 + 2.20216e6i 0.635590 + 1.10087i
\(127\) 896333. 0.437581 0.218790 0.975772i \(-0.429789\pi\)
0.218790 + 0.975772i \(0.429789\pi\)
\(128\) 2.16047e6i 1.03019i
\(129\) −901475. 644542.i −0.419937 0.300249i
\(130\) 1.48711e6 0.676883
\(131\) 3.26478e6i 1.45225i 0.687564 + 0.726124i \(0.258680\pi\)
−0.687564 + 0.726124i \(0.741320\pi\)
\(132\) 432505. 249707.i 0.188048 0.108570i
\(133\) −5.55195e6 −2.35988
\(134\) −2.20698e6 + 1.27420e6i −0.917241 + 0.529569i
\(135\) −421766. 730521.i −0.171424 0.296914i
\(136\) 587632. + 339269.i 0.233608 + 0.134874i
\(137\) 2.03174e6i 0.790145i −0.918650 0.395073i \(-0.870719\pi\)
0.918650 0.395073i \(-0.129281\pi\)
\(138\) 1.20044e6 2.07922e6i 0.456776 0.791159i
\(139\) −775516. 1.34323e6i −0.288766 0.500158i 0.684749 0.728779i \(-0.259912\pi\)
−0.973516 + 0.228621i \(0.926578\pi\)
\(140\) −784406. −0.285862
\(141\) 1.86560e6 1.07711e6i 0.665522 0.384239i
\(142\) 1.37567e6 2.38273e6i 0.480450 0.832165i
\(143\) 1.64612e6 2.85117e6i 0.562930 0.975024i
\(144\) 1.36769e6 2.36891e6i 0.458038 0.793344i
\(145\) −1.32104e6 −0.433322
\(146\) −469906. + 813901.i −0.150991 + 0.261525i
\(147\) 1.36194e6 + 786317.i 0.428752 + 0.247540i
\(148\) 2.11667e6 1.22206e6i 0.652932 0.376970i
\(149\) −1.44824e6 + 836141.i −0.437806 + 0.252767i −0.702666 0.711519i \(-0.748007\pi\)
0.264861 + 0.964287i \(0.414674\pi\)
\(150\) −1.84063e6 −0.545373
\(151\) 1.01384e6i 0.294469i −0.989102 0.147235i \(-0.952963\pi\)
0.989102 0.147235i \(-0.0470372\pi\)
\(152\) 1.71152e6 + 2.96444e6i 0.487361 + 0.844135i
\(153\) 612905. + 1.06158e6i 0.171127 + 0.296401i
\(154\) −2.49702e6 + 4.32497e6i −0.683692 + 1.18419i
\(155\) −1.96397e6 1.13390e6i −0.527399 0.304494i
\(156\) 1.49082e6i 0.392692i
\(157\) −3.83385e6 2.21347e6i −0.990686 0.571973i −0.0852066 0.996363i \(-0.527155\pi\)
−0.905479 + 0.424391i \(0.860488\pi\)
\(158\) −1.38943e6 802186.i −0.352261 0.203378i
\(159\) 1.21633e6 + 702246.i 0.302593 + 0.174702i
\(160\) 759719. + 1.31587e6i 0.185478 + 0.321258i
\(161\) 8.34832e6i 2.00042i
\(162\) 1.23788e6 714689.i 0.291161 0.168102i
\(163\) 2.10774e6 + 1.21690e6i 0.486692 + 0.280992i 0.723201 0.690637i \(-0.242670\pi\)
−0.236509 + 0.971629i \(0.576003\pi\)
\(164\) 808159. 0.183217
\(165\) 350496. 607077.i 0.0780246 0.135143i
\(166\) 1.68258e6 971441.i 0.367835 0.212369i
\(167\) 1.62068e6 + 2.80710e6i 0.347974 + 0.602709i 0.985890 0.167397i \(-0.0535363\pi\)
−0.637915 + 0.770107i \(0.720203\pi\)
\(168\) 1.98064e6i 0.417712i
\(169\) −2.50052e6 4.33102e6i −0.518048 0.897285i
\(170\) −1.08745e6 −0.221341
\(171\) 6.18388e6i 1.23672i
\(172\) 1.12215e6 + 2.46966e6i 0.220528 + 0.485346i
\(173\) −2.68694e6 −0.518943 −0.259471 0.965751i \(-0.583548\pi\)
−0.259471 + 0.965751i \(0.583548\pi\)
\(174\) 3.80855e6i 0.722957i
\(175\) 5.54277e6 3.20012e6i 1.03422 0.597107i
\(176\) 5.37221e6 0.985405
\(177\) −4.59530e6 + 2.65310e6i −0.828694 + 0.478447i
\(178\) 1.29944e6 + 2.25070e6i 0.230408 + 0.399078i
\(179\) −5.62591e6 3.24812e6i −0.980921 0.566335i −0.0783728 0.996924i \(-0.524972\pi\)
−0.902548 + 0.430589i \(0.858306\pi\)
\(180\) 873688.i 0.149809i
\(181\) 2.25816e6 3.91124e6i 0.380819 0.659598i −0.610361 0.792124i \(-0.708975\pi\)
0.991180 + 0.132526i \(0.0423088\pi\)
\(182\) 7.45398e6 + 1.29107e7i 1.23644 + 2.14158i
\(183\) 3.39926e6 0.554665
\(184\) 4.45755e6 2.57357e6i 0.715555 0.413126i
\(185\) 1.71532e6 2.97102e6i 0.270913 0.469235i
\(186\) −3.26903e6 + 5.66212e6i −0.508019 + 0.879914i
\(187\) −1.20373e6 + 2.08491e6i −0.184078 + 0.318833i
\(188\) −5.27310e6 −0.793583
\(189\) 4.22811e6 7.32330e6i 0.626269 1.08473i
\(190\) −4.75091e6 2.74294e6i −0.692653 0.399904i
\(191\) 6.24064e6 3.60304e6i 0.895631 0.517093i 0.0198511 0.999803i \(-0.493681\pi\)
0.875780 + 0.482710i \(0.160347\pi\)
\(192\) −158272. + 91378.4i −0.0223615 + 0.0129104i
\(193\) −2.46565e6 −0.342972 −0.171486 0.985187i \(-0.554857\pi\)
−0.171486 + 0.985187i \(0.554857\pi\)
\(194\) 277070.i 0.0379476i
\(195\) −1.04628e6 1.81221e6i −0.141106 0.244403i
\(196\) −1.92475e6 3.33377e6i −0.255627 0.442759i
\(197\) 3.72684e6 6.45508e6i 0.487464 0.844313i −0.512432 0.858728i \(-0.671255\pi\)
0.999896 + 0.0144152i \(0.00458866\pi\)
\(198\) 4.81724e6 + 2.78124e6i 0.620587 + 0.358296i
\(199\) 1.13404e7i 1.43902i 0.694481 + 0.719511i \(0.255634\pi\)
−0.694481 + 0.719511i \(0.744366\pi\)
\(200\) −3.41738e6 1.97303e6i −0.427173 0.246628i
\(201\) 3.10551e6 + 1.79297e6i 0.382423 + 0.220792i
\(202\) −23915.6 13807.7i −0.00290153 0.00167520i
\(203\) −6.62154e6 1.14688e7i −0.791537 1.37098i
\(204\) 1.09016e6i 0.128411i
\(205\) 982381. 567178.i 0.114030 0.0658351i
\(206\) 6.29288e6 + 3.63320e6i 0.719860 + 0.415611i
\(207\) 9.29854e6 1.04834
\(208\) 8.01841e6 1.38883e7i 0.891042 1.54333i
\(209\) −1.05178e7 + 6.07246e6i −1.15209 + 0.665160i
\(210\) 1.58712e6 + 2.74897e6i 0.171376 + 0.296832i
\(211\) 6.14692e6i 0.654351i 0.944964 + 0.327175i \(0.106097\pi\)
−0.944964 + 0.327175i \(0.893903\pi\)
\(212\) −1.71896e6 2.97733e6i −0.180409 0.312478i
\(213\) −3.87149e6 −0.400627
\(214\) 1.97045e7i 2.01059i
\(215\) 3.09730e6 + 2.21453e6i 0.311651 + 0.222826i
\(216\) −5.21366e6 −0.517346
\(217\) 2.27341e7i 2.22484i
\(218\) −1.92114e7 + 1.10917e7i −1.85434 + 1.07060i
\(219\) 1.32244e6 0.125905
\(220\) −1.48601e6 + 857947.i −0.139557 + 0.0805735i
\(221\) 3.59330e6 + 6.22377e6i 0.332902 + 0.576603i
\(222\) −8.56546e6 4.94527e6i −0.782874 0.451992i
\(223\) 205341.i 0.0185166i 0.999957 + 0.00925830i \(0.00294705\pi\)
−0.999957 + 0.00925830i \(0.997053\pi\)
\(224\) −7.61600e6 + 1.31913e7i −0.677615 + 1.17366i
\(225\) −3.56436e6 6.17365e6i −0.312921 0.541994i
\(226\) −8.42634e6 −0.729984
\(227\) −3.98116e6 + 2.29852e6i −0.340355 + 0.196504i −0.660429 0.750888i \(-0.729626\pi\)
0.320074 + 0.947393i \(0.396292\pi\)
\(228\) −2.74978e6 + 4.76277e6i −0.232003 + 0.401841i
\(229\) −3.36236e6 + 5.82378e6i −0.279987 + 0.484951i −0.971381 0.237526i \(-0.923663\pi\)
0.691394 + 0.722478i \(0.256997\pi\)
\(230\) −4.12449e6 + 7.14382e6i −0.338990 + 0.587147i
\(231\) 7.02728e6 0.570101
\(232\) −4.08250e6 + 7.07109e6i −0.326935 + 0.566268i
\(233\) −8.02588e6 4.63375e6i −0.634491 0.366323i 0.147999 0.988988i \(-0.452717\pi\)
−0.782489 + 0.622664i \(0.786050\pi\)
\(234\) 1.43802e7 8.30240e6i 1.12232 0.647972i
\(235\) −6.40987e6 + 3.70074e6i −0.493908 + 0.285158i
\(236\) 1.29885e7 0.988154
\(237\) 2.25756e6i 0.169588i
\(238\) −5.45071e6 9.44090e6i −0.404317 0.700298i
\(239\) 6.59956e6 + 1.14308e7i 0.483416 + 0.837302i 0.999819 0.0190443i \(-0.00606237\pi\)
−0.516402 + 0.856346i \(0.672729\pi\)
\(240\) 1.70730e6 2.95712e6i 0.123502 0.213912i
\(241\) 6.72733e6 + 3.88402e6i 0.480608 + 0.277479i 0.720670 0.693278i \(-0.243834\pi\)
−0.240062 + 0.970758i \(0.577168\pi\)
\(242\) 6.62363e6i 0.467359i
\(243\) −1.28623e7 7.42603e6i −0.896393 0.517532i
\(244\) −7.20596e6 4.16036e6i −0.496047 0.286393i
\(245\) −4.67938e6 2.70164e6i −0.318192 0.183709i
\(246\) −1.63518e6 2.83221e6i −0.109840 0.190248i
\(247\) 3.62544e7i 2.40586i
\(248\) −1.21388e7 + 7.00832e6i −0.795829 + 0.459472i
\(249\) −2.36762e6 1.36695e6i −0.153361 0.0885428i
\(250\) 1.37361e7 0.879108
\(251\) 1.06293e7 1.84104e7i 0.672175 1.16424i −0.305112 0.952317i \(-0.598694\pi\)
0.977286 0.211924i \(-0.0679729\pi\)
\(252\) −7.58510e6 + 4.37926e6i −0.473979 + 0.273652i
\(253\) 9.13101e6 + 1.58154e7i 0.563842 + 0.976602i
\(254\) 8.87859e6i 0.541805i
\(255\) 765092. + 1.32518e6i 0.0461417 + 0.0799197i
\(256\) 2.05613e7 1.22555
\(257\) 1.11532e6i 0.0657050i 0.999460 + 0.0328525i \(0.0104592\pi\)
−0.999460 + 0.0328525i \(0.989541\pi\)
\(258\) 6.38449e6 8.92953e6i 0.371764 0.519960i
\(259\) 3.43913e7 1.97947
\(260\) 5.12219e6i 0.291431i
\(261\) −1.27742e7 + 7.37521e6i −0.718478 + 0.414814i
\(262\) −3.23392e7 −1.79815
\(263\) −4.73899e6 + 2.73606e6i −0.260506 + 0.150403i −0.624566 0.780972i \(-0.714724\pi\)
0.364059 + 0.931376i \(0.381391\pi\)
\(264\) −2.16633e6 3.75219e6i −0.117737 0.203926i
\(265\) −4.17907e6 2.41279e6i −0.224565 0.129653i
\(266\) 5.49946e7i 2.92197i
\(267\) 1.82849e6 3.16704e6i 0.0960636 0.166387i
\(268\) −4.38883e6 7.60168e6i −0.228005 0.394917i
\(269\) 1.26283e7 0.648768 0.324384 0.945925i \(-0.394843\pi\)
0.324384 + 0.945925i \(0.394843\pi\)
\(270\) 7.23615e6 4.17779e6i 0.367634 0.212254i
\(271\) 9.98905e6 1.73015e7i 0.501899 0.869314i −0.498099 0.867120i \(-0.665968\pi\)
0.999998 0.00219398i \(-0.000698366\pi\)
\(272\) −5.86345e6 + 1.01558e7i −0.291371 + 0.504670i
\(273\) 1.04887e7 1.81670e7i 0.515508 0.892886i
\(274\) 2.01254e7 0.978345
\(275\) 7.00029e6 1.21249e7i 0.336603 0.583013i
\(276\) 7.16165e6 + 4.13478e6i 0.340632 + 0.196664i
\(277\) −7.64152e6 + 4.41183e6i −0.359534 + 0.207577i −0.668877 0.743374i \(-0.733225\pi\)
0.309342 + 0.950951i \(0.399891\pi\)
\(278\) 1.33054e7 7.68185e6i 0.619287 0.357546i
\(279\) −2.53217e7 −1.16595
\(280\) 6.80510e6i 0.309999i
\(281\) 931596. + 1.61357e6i 0.0419864 + 0.0727226i 0.886255 0.463198i \(-0.153298\pi\)
−0.844269 + 0.535920i \(0.819965\pi\)
\(282\) 1.06692e7 + 1.84797e7i 0.475758 + 0.824038i
\(283\) −1.69284e7 + 2.93208e7i −0.746889 + 1.29365i 0.202417 + 0.979299i \(0.435120\pi\)
−0.949307 + 0.314351i \(0.898213\pi\)
\(284\) 8.20704e6 + 4.73834e6i 0.358287 + 0.206857i
\(285\) 7.71936e6i 0.333462i
\(286\) 2.82422e7 + 1.63056e7i 1.20726 + 0.697011i
\(287\) 9.84814e6 + 5.68583e6i 0.416590 + 0.240518i
\(288\) 1.46928e7 + 8.48286e6i 0.615072 + 0.355112i
\(289\) 9.44119e6 + 1.63526e7i 0.391141 + 0.677476i
\(290\) 1.30855e7i 0.536532i
\(291\) 337641. 194937.i 0.0137018 0.00791071i
\(292\) −2.80339e6 1.61854e6i −0.112599 0.0650091i
\(293\) −3.00894e7 −1.19622 −0.598109 0.801415i \(-0.704081\pi\)
−0.598109 + 0.801415i \(0.704081\pi\)
\(294\) −7.78884e6 + 1.34907e7i −0.306500 + 0.530874i
\(295\) 1.57886e7 9.11556e6i 0.615004 0.355073i
\(296\) −1.06019e7 1.83631e7i −0.408800 0.708062i
\(297\) 1.84980e7i 0.706084i
\(298\) −8.28237e6 1.43455e7i −0.312972 0.542084i
\(299\) 5.45148e7 2.03939
\(300\) 6.33986e6i 0.234810i
\(301\) −3.70100e6 + 3.79899e7i −0.135712 + 1.39306i
\(302\) 1.00426e7 0.364607
\(303\) 38858.5i 0.00139688i
\(304\) −5.12332e7 + 2.95795e7i −1.82360 + 1.05286i
\(305\) −1.16792e7 −0.411637
\(306\) −1.05155e7 + 6.07111e6i −0.366999 + 0.211887i
\(307\) 1.42466e7 + 2.46758e7i 0.492375 + 0.852818i 0.999961 0.00878267i \(-0.00279565\pi\)
−0.507587 + 0.861601i \(0.669462\pi\)
\(308\) −1.48969e7 8.60072e6i −0.509851 0.294362i
\(309\) 1.02248e7i 0.346560i
\(310\) 1.12318e7 1.94540e7i 0.377019 0.653016i
\(311\) 2.94316e7 + 5.09770e7i 0.978436 + 1.69470i 0.668094 + 0.744076i \(0.267110\pi\)
0.310342 + 0.950625i \(0.399556\pi\)
\(312\) −1.29336e7 −0.425849
\(313\) −1.38711e7 + 8.00850e6i −0.452354 + 0.261167i −0.708824 0.705385i \(-0.750774\pi\)
0.256470 + 0.966552i \(0.417441\pi\)
\(314\) 2.19255e7 3.79761e7i 0.708207 1.22665i
\(315\) −6.14686e6 + 1.06467e7i −0.196662 + 0.340629i
\(316\) 2.76304e6 4.78572e6i 0.0875640 0.151665i
\(317\) 1.98660e7 0.623638 0.311819 0.950141i \(-0.399062\pi\)
0.311819 + 0.950141i \(0.399062\pi\)
\(318\) −6.95607e6 + 1.20483e7i −0.216313 + 0.374665i
\(319\) −2.50882e7 1.44847e7i −0.772853 0.446207i
\(320\) 543793. 313959.i 0.0165953 0.00958128i
\(321\) −2.40121e7 + 1.38634e7i −0.725964 + 0.419136i
\(322\) −8.26941e7 −2.47689
\(323\) 2.65110e7i 0.786716i
\(324\) 2.46167e6 + 4.26373e6i 0.0723759 + 0.125359i
\(325\) −2.08969e7 3.61945e7i −0.608739 1.05437i
\(326\) −1.20540e7 + 2.08782e7i −0.347919 + 0.602614i
\(327\) 2.70330e7 + 1.56075e7i 0.773126 + 0.446364i
\(328\) 7.01116e6i 0.198687i
\(329\) −6.42575e7 3.70991e7i −1.80441 1.04178i
\(330\) 6.01338e6 + 3.47183e6i 0.167331 + 0.0966087i
\(331\) 5.64240e7 + 3.25764e7i 1.55589 + 0.898296i 0.997643 + 0.0686250i \(0.0218612\pi\)
0.558252 + 0.829671i \(0.311472\pi\)
\(332\) 3.34602e6 + 5.79548e6i 0.0914354 + 0.158371i
\(333\) 3.83058e7i 1.03737i
\(334\) −2.78056e7 + 1.60536e7i −0.746265 + 0.430856i
\(335\) −1.06700e7 6.16030e6i −0.283810 0.163858i
\(336\) 3.42305e7 0.902392
\(337\) 4.38948e6 7.60280e6i 0.114689 0.198648i −0.802966 0.596025i \(-0.796746\pi\)
0.917656 + 0.397377i \(0.130079\pi\)
\(338\) 4.29008e7 2.47688e7i 1.11100 0.641438i
\(339\) 5.92849e6 + 1.02684e7i 0.152175 + 0.263576i
\(340\) 3.74560e6i 0.0952981i
\(341\) −2.48655e7 4.30683e7i −0.627096 1.08616i
\(342\) −6.12542e7 −1.53129
\(343\) 2.31436e6i 0.0573519i
\(344\) 2.14255e7 9.73516e6i 0.526326 0.239148i
\(345\) 1.16074e7 0.282669
\(346\) 2.66154e7i 0.642546i
\(347\) −1.94170e7 + 1.12104e7i −0.464724 + 0.268308i −0.714028 0.700117i \(-0.753131\pi\)
0.249305 + 0.968425i \(0.419798\pi\)
\(348\) −1.31181e7 −0.311268
\(349\) −4.28834e7 + 2.47587e7i −1.00882 + 0.582441i −0.910845 0.412748i \(-0.864569\pi\)
−0.0979723 + 0.995189i \(0.531236\pi\)
\(350\) 3.16987e7 + 5.49037e7i 0.739328 + 1.28055i
\(351\) −4.78214e7 2.76097e7i −1.10586 0.638469i
\(352\) 3.33201e7i 0.763974i
\(353\) 2.92232e7 5.06161e7i 0.664361 1.15071i −0.315098 0.949059i \(-0.602037\pi\)
0.979458 0.201647i \(-0.0646294\pi\)
\(354\) −2.62802e7 4.55186e7i −0.592405 1.02608i
\(355\) 1.33017e7 0.297319
\(356\) −7.75229e6 + 4.47579e6i −0.171823 + 0.0992018i
\(357\) −7.66987e6 + 1.32846e7i −0.168571 + 0.291974i
\(358\) 3.21742e7 5.57273e7i 0.701226 1.21456i
\(359\) 2.15033e7 3.72447e7i 0.464752 0.804974i −0.534439 0.845207i \(-0.679477\pi\)
0.999190 + 0.0402337i \(0.0128103\pi\)
\(360\) 7.57966e6 0.162458
\(361\) 4.33473e7 7.50797e7i 0.921383 1.59588i
\(362\) 3.87427e7 + 2.23681e7i 0.816703 + 0.471524i
\(363\) −8.07164e6 + 4.66016e6i −0.168749 + 0.0974275i
\(364\) −4.44694e7 + 2.56744e7i −0.922055 + 0.532349i
\(365\) −4.54366e6 −0.0934387
\(366\) 3.36712e7i 0.686777i
\(367\) −2.23693e7 3.87448e7i −0.452538 0.783818i 0.546005 0.837782i \(-0.316148\pi\)
−0.998543 + 0.0539636i \(0.982814\pi\)
\(368\) 4.44779e7 + 7.70380e7i 0.892485 + 1.54583i
\(369\) 6.33299e6 1.09691e7i 0.126046 0.218319i
\(370\) 2.94293e7 + 1.69910e7i 0.580999 + 0.335440i
\(371\) 4.83752e7i 0.947330i
\(372\) −1.95026e7 1.12598e7i −0.378846 0.218727i
\(373\) 7.22707e7 + 4.17255e7i 1.39263 + 0.804035i 0.993606 0.112906i \(-0.0360158\pi\)
0.399024 + 0.916941i \(0.369349\pi\)
\(374\) −2.06520e7 1.19235e7i −0.394774 0.227923i
\(375\) −9.66423e6 1.67389e7i −0.183262 0.317420i
\(376\) 4.57467e7i 0.860589i
\(377\) −7.48919e7 + 4.32389e7i −1.39769 + 0.806957i
\(378\) 7.25407e7 + 4.18814e7i 1.34309 + 0.775435i
\(379\) 2.04585e7 0.375799 0.187899 0.982188i \(-0.439832\pi\)
0.187899 + 0.982188i \(0.439832\pi\)
\(380\) 9.44775e6 1.63640e7i 0.172178 0.298221i
\(381\) 1.08196e7 6.24668e6i 0.195630 0.112947i
\(382\) 3.56898e7 + 6.18165e7i 0.640256 + 1.10896i
\(383\) 3.40929e6i 0.0606831i 0.999540 + 0.0303415i \(0.00965949\pi\)
−0.999540 + 0.0303415i \(0.990341\pi\)
\(384\) −1.50567e7 2.60789e7i −0.265910 0.460570i
\(385\) −2.41444e7 −0.423092
\(386\) 2.44234e7i 0.424663i
\(387\) 4.23139e7 + 4.12225e6i 0.730047 + 0.0711216i
\(388\) −954337. −0.0163383
\(389\) 6.44693e7i 1.09523i 0.836732 + 0.547613i \(0.184463\pi\)
−0.836732 + 0.547613i \(0.815537\pi\)
\(390\) 1.79508e7 1.03639e7i 0.302615 0.174715i
\(391\) −3.98639e7 −0.666882
\(392\) −2.89220e7 + 1.66981e7i −0.480143 + 0.277211i
\(393\) 2.27528e7 + 3.94090e7i 0.374849 + 0.649258i
\(394\) 6.39406e7 + 3.69161e7i 1.04541 + 0.603570i
\(395\) 7.75657e6i 0.125857i
\(396\) −9.57966e6 + 1.65925e7i −0.154264 + 0.267193i
\(397\) −4.27622e7 7.40664e7i −0.683422 1.18372i −0.973930 0.226849i \(-0.927158\pi\)
0.290508 0.956872i \(-0.406176\pi\)
\(398\) −1.12332e8 −1.78177
\(399\) −6.70172e7 + 3.86924e7i −1.05504 + 0.609125i
\(400\) 3.40990e7 5.90612e7i 0.532797 0.922831i
\(401\) 1.65294e7 2.86298e7i 0.256345 0.444002i −0.708915 0.705294i \(-0.750815\pi\)
0.965260 + 0.261291i \(0.0841484\pi\)
\(402\) −1.77602e7 + 3.07615e7i −0.273381 + 0.473510i
\(403\) −1.48454e8 −2.26818
\(404\) 47559.0 82374.6i 0.000721255 0.00124925i
\(405\) 5.98470e6 + 3.45527e6i 0.0900902 + 0.0520136i
\(406\) 1.13604e8 6.55895e7i 1.69753 0.980068i
\(407\) 6.51522e7 3.76156e7i 0.966376 0.557937i
\(408\) 9.45768e6 0.139253
\(409\) 1.08918e8i 1.59195i 0.605328 + 0.795976i \(0.293042\pi\)
−0.605328 + 0.795976i \(0.706958\pi\)
\(410\) 5.61816e6 + 9.73094e6i 0.0815160 + 0.141190i
\(411\) −1.41595e7 2.45250e7i −0.203950 0.353251i
\(412\) −1.25141e7 + 2.16751e7i −0.178941 + 0.309935i
\(413\) 1.58277e8 + 9.13813e7i 2.24682 + 1.29720i
\(414\) 9.21064e7i 1.29804i
\(415\) 8.13470e6 + 4.69657e6i 0.113814 + 0.0657108i
\(416\) 8.61396e7 + 4.97327e7i 1.19653 + 0.690816i
\(417\) −1.87224e7 1.08094e7i −0.258198 0.149071i
\(418\) −6.01506e7 1.04184e8i −0.823590 1.42650i
\(419\) 1.24009e6i 0.0168582i −0.999964 0.00842910i \(-0.997317\pi\)
0.999964 0.00842910i \(-0.00268310\pi\)
\(420\) −9.46851e6 + 5.46665e6i −0.127801 + 0.0737858i
\(421\) 1.05213e8 + 6.07449e7i 1.41002 + 0.814073i 0.995389 0.0959180i \(-0.0305787\pi\)
0.414627 + 0.909991i \(0.363912\pi\)
\(422\) −6.08882e7 −0.810206
\(423\) −4.13217e7 + 7.15713e7i −0.545955 + 0.945623i
\(424\) −2.58298e7 + 1.49128e7i −0.338862 + 0.195642i
\(425\) 1.52808e7 + 2.64671e7i 0.199058 + 0.344778i
\(426\) 3.83490e7i 0.496049i
\(427\) −5.85407e7 1.01396e8i −0.751925 1.30237i
\(428\) 6.78699e7 0.865657
\(429\) 4.58884e7i 0.581207i
\(430\) −2.19359e7 + 3.06802e7i −0.275899 + 0.385881i
\(431\) 1.19252e8 1.48948 0.744738 0.667357i \(-0.232574\pi\)
0.744738 + 0.667357i \(0.232574\pi\)
\(432\) 9.01055e7i 1.11764i
\(433\) −4.06937e7 + 2.34945e7i −0.501260 + 0.289403i −0.729234 0.684265i \(-0.760123\pi\)
0.227974 + 0.973667i \(0.426790\pi\)
\(434\) 2.25192e8 2.75476
\(435\) −1.59461e7 + 9.20651e6i −0.193726 + 0.111848i
\(436\) −3.82041e7 6.61715e7i −0.460947 0.798383i
\(437\) −1.74160e8 1.00551e8i −2.08691 1.20488i
\(438\) 1.30994e7i 0.155894i
\(439\) −1.12957e7 + 1.95647e7i −0.133511 + 0.231248i −0.925028 0.379899i \(-0.875959\pi\)
0.791516 + 0.611148i \(0.209292\pi\)
\(440\) 7.44310e6 + 1.28918e7i 0.0873767 + 0.151341i
\(441\) −6.03319e7 −0.703447
\(442\) −6.16494e7 + 3.55933e7i −0.713940 + 0.412194i
\(443\) 5.32924e7 9.23051e7i 0.612991 1.06173i −0.377742 0.925911i \(-0.623300\pi\)
0.990733 0.135821i \(-0.0433672\pi\)
\(444\) 1.70334e7 2.95028e7i 0.194605 0.337065i
\(445\) −6.28235e6 + 1.08814e7i −0.0712922 + 0.123482i
\(446\) −2.03400e6 −0.0229269
\(447\) −1.16544e7 + 2.01860e7i −0.130487 + 0.226010i
\(448\) 5.45140e6 + 3.14737e6i 0.0606281 + 0.0350037i
\(449\) −4.21692e7 + 2.43464e7i −0.465861 + 0.268965i −0.714506 0.699630i \(-0.753348\pi\)
0.248644 + 0.968595i \(0.420015\pi\)
\(450\) 6.11529e7 3.53067e7i 0.671088 0.387453i
\(451\) 2.48756e7 0.271171
\(452\) 2.90236e7i 0.314294i
\(453\) −7.06563e6 1.22380e7i −0.0760074 0.131649i
\(454\) −2.27680e7 3.94353e7i −0.243308 0.421422i
\(455\) −3.60374e7 + 6.24185e7i −0.382577 + 0.662643i
\(456\) 4.13193e7 + 2.38557e7i 0.435771 + 0.251592i
\(457\) 3.24332e7i 0.339814i 0.985460 + 0.169907i \(0.0543468\pi\)
−0.985460 + 0.169907i \(0.945653\pi\)
\(458\) −5.76872e7 3.33057e7i −0.600459 0.346675i
\(459\) 3.49693e7 + 2.01895e7i 0.361617 + 0.208780i
\(460\) −2.46061e7 1.42063e7i −0.252796 0.145952i
\(461\) −1.92401e7 3.33248e7i −0.196383 0.340146i 0.750970 0.660337i \(-0.229586\pi\)
−0.947353 + 0.320191i \(0.896253\pi\)
\(462\) 6.96085e7i 0.705889i
\(463\) −2.97704e7 + 1.71880e7i −0.299945 + 0.173174i −0.642418 0.766354i \(-0.722069\pi\)
0.342473 + 0.939528i \(0.388735\pi\)
\(464\) −1.22207e8 7.05561e7i −1.22332 0.706286i
\(465\) −3.16092e7 −0.314380
\(466\) 4.58994e7 7.95001e7i 0.453575 0.785616i
\(467\) 8.60386e7 4.96744e7i 0.844778 0.487733i −0.0141076 0.999900i \(-0.504491\pi\)
0.858885 + 0.512168i \(0.171157\pi\)
\(468\) 2.85967e7 + 4.95309e7i 0.278983 + 0.483213i
\(469\) 1.23511e8i 1.19726i
\(470\) −3.66576e7 6.34928e7i −0.353077 0.611548i
\(471\) −6.17041e7 −0.590543
\(472\) 1.12682e8i 1.07159i
\(473\) 3.45403e7 + 7.60174e7i 0.326394 + 0.718340i
\(474\) −2.23622e7 −0.209981
\(475\) 1.54175e8i 1.43858i
\(476\) 3.25181e7 1.87744e7i 0.301512 0.174078i
\(477\) −5.38813e7 −0.496459
\(478\) −1.13227e8 + 6.53717e7i −1.03673 + 0.598558i
\(479\) −5.94155e6 1.02911e7i −0.0540622 0.0936384i 0.837728 0.546088i \(-0.183884\pi\)
−0.891790 + 0.452450i \(0.850550\pi\)
\(480\) 1.83410e7 + 1.05892e7i 0.165844 + 0.0957501i
\(481\) 2.24576e8i 2.01804i
\(482\) −3.84731e7 + 6.66373e7i −0.343570 + 0.595081i
\(483\) 5.81808e7 + 1.00772e8i 0.516343 + 0.894332i
\(484\) 2.28144e7 0.201221
\(485\) −1.16007e6 + 669768.i −0.0101686 + 0.00587082i
\(486\) 7.35583e7 1.27407e8i 0.640800 1.10990i
\(487\) −8.08963e7 + 1.40116e8i −0.700393 + 1.21312i 0.267936 + 0.963437i \(0.413658\pi\)
−0.968329 + 0.249679i \(0.919675\pi\)
\(488\) −3.60931e7 + 6.25152e7i −0.310574 + 0.537930i
\(489\) 3.39232e7 0.290115
\(490\) 2.67610e7 4.63514e7i 0.227465 0.393981i
\(491\) −5.58436e7 3.22413e7i −0.471769 0.272376i 0.245211 0.969470i \(-0.421143\pi\)
−0.716980 + 0.697094i \(0.754476\pi\)
\(492\) 9.75523e6 5.63218e6i 0.0819110 0.0472913i
\(493\) 5.47646e7 3.16183e7i 0.457045 0.263875i
\(494\) −3.59117e8 −2.97889
\(495\) 2.68926e7i 0.221726i
\(496\) −1.21122e8 2.09789e8i −0.992608 1.71925i
\(497\) 6.66734e7 + 1.15482e8i 0.543105 + 0.940685i
\(498\) 1.35402e7 2.34524e7i 0.109632 0.189889i
\(499\) 1.31349e7 + 7.58344e6i 0.105712 + 0.0610329i 0.551924 0.833894i \(-0.313894\pi\)
−0.446212 + 0.894927i \(0.647227\pi\)
\(500\) 4.73123e7i 0.378499i
\(501\) 3.91262e7 + 2.25895e7i 0.311139 + 0.179636i
\(502\) 1.82364e8 + 1.05288e8i 1.44154 + 0.832275i
\(503\) 1.99168e7 + 1.14990e7i 0.156501 + 0.0903558i 0.576205 0.817305i \(-0.304533\pi\)
−0.419704 + 0.907661i \(0.637866\pi\)
\(504\) 3.79922e7 + 6.58043e7i 0.296758 + 0.514000i
\(505\) 133511.i 0.00103667i
\(506\) −1.56659e8 + 9.04469e7i −1.20921 + 0.698139i
\(507\) −6.03671e7 3.48530e7i −0.463209 0.267434i
\(508\) −3.05813e7 −0.233273
\(509\) 1.19132e7 2.06343e7i 0.0903392 0.156472i −0.817315 0.576192i \(-0.804538\pi\)
0.907654 + 0.419720i \(0.137872\pi\)
\(510\) −1.31265e7 + 7.57859e6i −0.0989552 + 0.0571318i
\(511\) −2.27746e7 3.94467e7i −0.170682 0.295630i
\(512\) 6.53994e7i 0.487263i
\(513\) 1.01851e8 + 1.76410e8i 0.754417 + 1.30669i
\(514\) −1.10477e7 −0.0813548
\(515\) 3.51305e7i 0.257195i
\(516\) 3.07568e7 + 2.19907e7i 0.223868 + 0.160062i
\(517\) −1.62309e8 −1.17455
\(518\) 3.40662e8i 2.45095i
\(519\) −3.24338e7 + 1.87257e7i −0.232004 + 0.133948i
\(520\) 4.44375e7 0.316038
\(521\) 1.95475e8 1.12857e8i 1.38222 0.798025i 0.389798 0.920900i \(-0.372545\pi\)
0.992422 + 0.122875i \(0.0392115\pi\)
\(522\) −7.30549e7 1.26535e8i −0.513615 0.889608i
\(523\) 1.34445e8 + 7.76217e7i 0.939807 + 0.542598i 0.889900 0.456156i \(-0.150774\pi\)
0.0499071 + 0.998754i \(0.484107\pi\)
\(524\) 1.11389e8i 0.774190i
\(525\) 4.46043e7 7.72568e7i 0.308247 0.533899i
\(526\) −2.71019e7 4.69419e7i −0.186227 0.322555i
\(527\) 1.08557e8 0.741696
\(528\) 6.48475e7 3.74397e7i 0.440546 0.254349i
\(529\) −7.71782e7 + 1.33677e8i −0.521348 + 0.903001i
\(530\) 2.38998e7 4.13956e7i 0.160534 0.278052i
\(531\) 1.01782e8 1.76292e8i 0.679813 1.17747i
\(532\) 1.89423e8 1.25805
\(533\) 3.71286e7 6.43087e7i 0.245204 0.424705i
\(534\) 3.13710e7 + 1.81120e7i 0.206018 + 0.118944i
\(535\) 8.25012e7 4.76321e7i 0.538764 0.311056i
\(536\) −6.59482e7 + 3.80752e7i −0.428261 + 0.247257i
\(537\) −9.05466e7 −0.584722
\(538\) 1.25090e8i 0.803294i
\(539\) −5.92449e7 1.02615e8i −0.378342 0.655308i
\(540\) 1.43899e7 + 2.49241e7i 0.0913856 + 0.158284i
\(541\) −4.77667e7 + 8.27344e7i −0.301671 + 0.522510i −0.976515 0.215451i \(-0.930878\pi\)
0.674843 + 0.737961i \(0.264211\pi\)
\(542\) 1.71380e8 + 9.89462e7i 1.07637 + 0.621443i
\(543\) 6.29498e7i 0.393183i
\(544\) −6.29894e7 3.63670e7i −0.391265 0.225897i
\(545\) −9.28802e7 5.36244e7i −0.573765 0.331263i
\(546\) 1.79953e8 + 1.03896e8i 1.10556 + 0.638293i
\(547\) −5.93198e7 1.02745e8i −0.362441 0.627766i 0.625921 0.779886i \(-0.284723\pi\)
−0.988362 + 0.152120i \(0.951390\pi\)
\(548\) 6.93195e7i 0.421225i
\(549\) −1.12936e8 + 6.52039e7i −0.682523 + 0.394055i
\(550\) 1.20102e8 + 6.93411e7i 0.721877 + 0.416776i
\(551\) 3.19012e8 1.90700
\(552\) 3.58712e7 6.21307e7i 0.213269 0.369394i
\(553\) 6.73402e7 3.88789e7i 0.398198 0.229900i
\(554\) −4.37013e7 7.56928e7i −0.257019 0.445170i
\(555\) 4.78173e7i 0.279709i
\(556\) 2.64593e7 + 4.58288e7i 0.153941 + 0.266633i
\(557\) 2.52042e8 1.45850 0.729252 0.684245i \(-0.239868\pi\)
0.729252 + 0.684245i \(0.239868\pi\)
\(558\) 2.50823e8i 1.44366i
\(559\) 2.48075e8 + 2.41676e7i 1.42019 + 0.138356i
\(560\) −1.17610e8 −0.669698
\(561\) 3.35558e7i 0.190055i
\(562\) −1.59832e7 + 9.22790e6i −0.0900439 + 0.0519869i
\(563\) −2.59217e8 −1.45257 −0.726287 0.687391i \(-0.758756\pi\)
−0.726287 + 0.687391i \(0.758756\pi\)
\(564\) −6.36512e7 + 3.67490e7i −0.354788 + 0.204837i
\(565\) −2.03692e7 3.52805e7i −0.112935 0.195609i
\(566\) −2.90436e8 1.67684e8i −1.60178 0.924786i
\(567\) 6.92765e7i 0.380047i
\(568\) 4.11073e7 7.12000e7i 0.224323 0.388539i
\(569\) −5.64015e7 9.76902e7i −0.306164 0.530291i 0.671356 0.741135i \(-0.265712\pi\)
−0.977520 + 0.210844i \(0.932379\pi\)
\(570\) −7.64638e7 −0.412887
\(571\) −1.98649e8 + 1.14690e8i −1.06703 + 0.616051i −0.927369 0.374148i \(-0.877935\pi\)
−0.139663 + 0.990199i \(0.544602\pi\)
\(572\) −5.61629e7 + 9.72770e7i −0.300097 + 0.519783i
\(573\) 5.02202e7 8.69840e7i 0.266941 0.462355i
\(574\) −5.63208e7 + 9.75504e7i −0.297806 + 0.515815i
\(575\) 2.31829e8 1.21945
\(576\) 3.50561e6 6.07189e6i 0.0183441 0.0317729i
\(577\) 8.83230e7 + 5.09933e7i 0.459776 + 0.265452i 0.711950 0.702230i \(-0.247812\pi\)
−0.252174 + 0.967682i \(0.581146\pi\)
\(578\) −1.61980e8 + 9.35194e7i −0.838840 + 0.484304i
\(579\) −2.97627e7 + 1.71835e7i −0.153333 + 0.0885269i
\(580\) 4.50715e7 0.231003
\(581\) 9.41641e7i 0.480128i
\(582\) 1.93094e6 + 3.34449e6i 0.00979491 + 0.0169653i
\(583\) −5.29106e7 9.16438e7i −0.267016 0.462485i
\(584\) −1.40416e7 + 2.43208e7i −0.0704982 + 0.122106i
\(585\) 6.95231e7 + 4.01392e7i 0.347265 + 0.200494i
\(586\) 2.98050e8i 1.48114i
\(587\) −1.09550e8 6.32485e7i −0.541622 0.312706i 0.204114 0.978947i \(-0.434569\pi\)
−0.745736 + 0.666241i \(0.767902\pi\)
\(588\) −4.64671e7 2.68278e7i −0.228567 0.131963i
\(589\) 4.74270e8 + 2.73820e8i 2.32102 + 1.34004i
\(590\) 9.02939e7 + 1.56394e8i 0.439645 + 0.761488i
\(591\) 1.03892e8i 0.503291i
\(592\) 3.17362e8 1.83229e8i 1.52964 0.883139i
\(593\) −8.64944e7 4.99376e7i −0.414786 0.239477i 0.278058 0.960564i \(-0.410309\pi\)
−0.692844 + 0.721088i \(0.743643\pi\)
\(594\) 1.83232e8 0.874261
\(595\) 2.63523e7 4.56434e7i 0.125103 0.216684i
\(596\) 4.94114e7 2.85277e7i 0.233393 0.134750i
\(597\) 7.90327e7 + 1.36889e8i 0.371436 + 0.643346i
\(598\) 5.39995e8i 2.52514i
\(599\) −1.34336e8 2.32677e8i −0.625045 1.08261i −0.988532 0.151011i \(-0.951747\pi\)
0.363487 0.931599i \(-0.381586\pi\)
\(600\) −5.50013e7 −0.254636
\(601\) 673740.i 0.00310362i 0.999999 + 0.00155181i \(0.000493957\pi\)
−0.999999 + 0.00155181i \(0.999506\pi\)
\(602\) −3.76308e8 3.66601e7i −1.72486 0.168037i
\(603\) −1.37569e8 −0.627436
\(604\) 3.45906e7i 0.156981i
\(605\) 2.77327e7 1.60115e7i 0.125235 0.0723044i
\(606\) −384911. −0.00172959
\(607\) −1.37075e8 + 7.91402e7i −0.612903 + 0.353860i −0.774101 0.633062i \(-0.781798\pi\)
0.161198 + 0.986922i \(0.448464\pi\)
\(608\) −1.83461e8 3.17764e8i −0.816270 1.41382i
\(609\) −1.59856e8 9.22931e7i −0.707747 0.408618i
\(610\) 1.15688e8i 0.509682i
\(611\) −2.42258e8 + 4.19603e8i −1.06207 + 1.83956i
\(612\) −2.09113e7 3.62194e7i −0.0912276 0.158011i
\(613\) 1.33078e8 0.577728 0.288864 0.957370i \(-0.406722\pi\)
0.288864 + 0.957370i \(0.406722\pi\)
\(614\) −2.44425e8 + 1.41119e8i −1.05595 + 0.609650i
\(615\) 7.90550e6 1.36927e7i 0.0339863 0.0588660i
\(616\) −7.46153e7 + 1.29238e8i −0.319217 + 0.552900i
\(617\) −2.42051e6 + 4.19244e6i −0.0103051 + 0.0178489i −0.871132 0.491049i \(-0.836614\pi\)
0.860827 + 0.508898i \(0.169947\pi\)
\(618\) 1.01281e8 0.429105
\(619\) −2.59299e7 + 4.49119e7i −0.109327 + 0.189360i −0.915498 0.402323i \(-0.868203\pi\)
0.806171 + 0.591683i \(0.201536\pi\)
\(620\) 6.70072e7 + 3.86866e7i 0.281155 + 0.162325i
\(621\) 2.65264e8 1.53150e8i 1.10765 0.639503i
\(622\) −5.04951e8 + 2.91534e8i −2.09835 + 1.21148i
\(623\) −1.25958e8 −0.520910
\(624\) 2.23526e8i 0.919972i
\(625\) −7.09486e7 1.22887e8i −0.290606 0.503344i
\(626\) −7.93279e7 1.37400e8i −0.323373 0.560098i
\(627\) −8.46398e7 + 1.46600e8i −0.343378 + 0.594748i
\(628\) 1.30804e8 + 7.55199e7i 0.528133 + 0.304918i
\(629\) 1.64221e8i 0.659898i
\(630\) −1.05460e8 6.08875e7i −0.421762 0.243504i
\(631\) −2.74828e8 1.58672e8i −1.09389 0.631558i −0.159281 0.987233i \(-0.550917\pi\)
−0.934609 + 0.355676i \(0.884251\pi\)
\(632\) −4.15184e7 2.39707e7i −0.164471 0.0949575i
\(633\) 4.28389e7 + 7.41991e7i 0.168899 + 0.292541i
\(634\) 1.96782e8i 0.772179i
\(635\) −3.71740e7 + 2.14624e7i −0.145184 + 0.0838220i
\(636\) −4.14989e7 2.39594e7i −0.161312 0.0931333i
\(637\) −3.53710e8 −1.36845
\(638\) 1.43477e8 2.48510e8i 0.552486 0.956934i
\(639\) 1.28626e8 7.42622e7i 0.492976 0.284620i
\(640\) 5.17319e7 + 8.96023e7i 0.197342 + 0.341806i
\(641\) 1.79466e8i 0.681411i 0.940170 + 0.340706i \(0.110666\pi\)
−0.940170 + 0.340706i \(0.889334\pi\)
\(642\) −1.37323e8 2.37851e8i −0.518967 0.898877i
\(643\) −9.15602e6 −0.0344408 −0.0172204 0.999852i \(-0.505482\pi\)
−0.0172204 + 0.999852i \(0.505482\pi\)
\(644\) 2.84830e8i 1.06642i
\(645\) 5.28207e7 + 5.14582e6i 0.196845 + 0.0191768i
\(646\) 2.62603e8 0.974098
\(647\) 1.13727e7i 0.0419904i 0.999780 + 0.0209952i \(0.00668347\pi\)
−0.999780 + 0.0209952i \(0.993317\pi\)
\(648\) 3.69899e7 2.13561e7i 0.135943 0.0784870i
\(649\) 3.99795e8 1.46252
\(650\) 3.58523e8 2.06993e8i 1.30550 0.753731i
\(651\) −1.58437e8 2.74422e8i −0.574268 0.994662i
\(652\) −7.19125e7 4.15187e7i −0.259455 0.149796i
\(653\) 1.94540e8i 0.698667i 0.936998 + 0.349334i \(0.113592\pi\)
−0.936998 + 0.349334i \(0.886408\pi\)
\(654\) −1.54599e8 + 2.67774e8i −0.552681 + 0.957272i
\(655\) −7.81743e7 1.35402e8i −0.278189 0.481838i
\(656\) 1.21171e8 0.429227
\(657\) −4.39365e7 + 2.53668e7i −0.154928 + 0.0894477i
\(658\) 3.67484e8 6.36500e8i 1.28991 2.23419i
\(659\) −3.17062e7 + 5.49168e7i −0.110787 + 0.191889i −0.916088 0.400978i \(-0.868670\pi\)
0.805301 + 0.592866i \(0.202004\pi\)
\(660\) −1.19583e7 + 2.07124e7i −0.0415947 + 0.0720442i
\(661\) 3.66297e8 1.26832 0.634160 0.773202i \(-0.281346\pi\)
0.634160 + 0.773202i \(0.281346\pi\)
\(662\) −3.22685e8 + 5.58907e8i −1.11226 + 1.92648i
\(663\) 8.67488e7 + 5.00845e7i 0.297662 + 0.171855i
\(664\) 5.02785e7 2.90283e7i 0.171743 0.0991557i
\(665\) 2.30259e8 1.32940e8i 0.782980 0.452054i
\(666\) 3.79437e8 1.28445
\(667\) 4.79690e8i 1.61653i
\(668\) −5.52947e7 9.57733e7i −0.185504 0.321303i
\(669\) 1.43105e6 + 2.47866e6i 0.00477944 + 0.00827824i
\(670\) 6.10206e7 1.05691e8i 0.202886 0.351409i
\(671\) −2.21803e8 1.28058e8i −0.734177 0.423877i
\(672\) 2.12308e8i 0.699615i
\(673\) −4.18831e8 2.41812e8i −1.37402 0.793292i −0.382591 0.923918i \(-0.624968\pi\)
−0.991432 + 0.130626i \(0.958301\pi\)
\(674\) 7.53093e7 + 4.34798e7i 0.245962 + 0.142006i
\(675\) −2.03364e8 1.17413e8i −0.661247 0.381771i
\(676\) 8.53134e7 + 1.47767e8i 0.276170 + 0.478341i
\(677\) 2.11180e8i 0.680592i 0.940318 + 0.340296i \(0.110527\pi\)
−0.940318 + 0.340296i \(0.889473\pi\)
\(678\) −1.01714e8 + 5.87244e7i −0.326355 + 0.188421i
\(679\) −1.16295e7 6.71427e6i −0.0371492 0.0214481i
\(680\) −3.24948e7 −0.103345
\(681\) −3.20375e7 + 5.54906e7i −0.101442 + 0.175703i
\(682\) 4.26612e8 2.46304e8i 1.34487 0.776460i
\(683\) 1.76038e8 + 3.04906e8i 0.552514 + 0.956983i 0.998092 + 0.0617396i \(0.0196648\pi\)
−0.445578 + 0.895243i \(0.647002\pi\)
\(684\) 2.10983e8i 0.659295i
\(685\) 4.86495e7 + 8.42634e7i 0.151358 + 0.262160i
\(686\) −2.29248e7 −0.0710122
\(687\) 9.37312e7i 0.289077i
\(688\) 1.68249e8 + 3.70287e8i 0.516638 + 1.13703i
\(689\) −3.15892e8 −0.965785
\(690\) 1.14977e8i 0.349996i
\(691\) 2.14509e8 1.23847e8i 0.650147 0.375362i −0.138366 0.990381i \(-0.544185\pi\)
0.788512 + 0.615019i \(0.210852\pi\)
\(692\) 9.16737e7 0.276647
\(693\) −2.33473e8 + 1.34796e8i −0.701516 + 0.405021i
\(694\) −1.11045e8 1.92335e8i −0.332215 0.575413i
\(695\) 6.43267e7 + 3.71390e7i 0.191618 + 0.110631i
\(696\) 1.13806e8i 0.337550i
\(697\) −2.71502e7 + 4.70256e7i −0.0801817 + 0.138879i
\(698\) −2.45247e8 4.24780e8i −0.721169 1.24910i
\(699\) −1.29173e8 −0.378217
\(700\) −1.89110e8 + 1.09183e8i −0.551341 + 0.318317i
\(701\) −6.55682e7 + 1.13568e8i −0.190344 + 0.329686i −0.945364 0.326016i \(-0.894294\pi\)
0.755020 + 0.655702i \(0.227627\pi\)
\(702\) 2.73487e8 4.73693e8i 0.790542 1.36926i
\(703\) −4.14225e8 + 7.17459e8i −1.19226 + 2.06505i
\(704\) 1.37698e7 0.0394647
\(705\) −5.15821e7 + 8.93427e7i −0.147208 + 0.254972i
\(706\) 5.01376e8 + 2.89470e8i 1.42479 + 0.822600i
\(707\) 1.15910e6 669206.i 0.00327991 0.00189366i
\(708\) 1.56784e8 9.05192e7i 0.441775 0.255059i
\(709\) 2.01021e8 0.564031 0.282015 0.959410i \(-0.408997\pi\)
0.282015 + 0.959410i \(0.408997\pi\)
\(710\) 1.31760e8i 0.368136i
\(711\) −4.33041e7 7.50049e7i −0.120482 0.208680i
\(712\) 3.88296e7 + 6.72549e7i 0.107578 + 0.186330i
\(713\) 4.11736e8 7.13148e8i 1.13593 1.96748i
\(714\) −1.31590e8 7.59736e7i −0.361517 0.208722i
\(715\) 1.57664e8i 0.431334i
\(716\) 1.91946e8 + 1.10820e8i 0.522927 + 0.301912i
\(717\) 1.59326e8 + 9.19867e7i 0.432243 + 0.249556i
\(718\) 3.68927e8 + 2.13000e8i 0.996705 + 0.575448i
\(719\) −1.16682e8 2.02099e8i −0.313918 0.543721i 0.665289 0.746586i \(-0.268308\pi\)
−0.979207 + 0.202864i \(0.934975\pi\)
\(720\) 1.30996e8i 0.350963i
\(721\) −3.04992e8 + 1.76087e8i −0.813735 + 0.469810i
\(722\) 7.43700e8 + 4.29375e8i 1.97600 + 1.14084i
\(723\) 1.08273e8 0.286488
\(724\) −7.70444e7 + 1.33445e8i −0.203014 + 0.351630i
\(725\) −3.18484e8 + 1.83877e8i −0.835746 + 0.482518i
\(726\) −4.61611e7 7.99534e7i −0.120633 0.208943i
\(727\) 1.67591e8i 0.436162i −0.975931 0.218081i \(-0.930020\pi\)
0.975931 0.218081i \(-0.0699796\pi\)
\(728\) 2.22738e8 + 3.85793e8i 0.577297 + 0.999908i
\(729\) −1.01816e8 −0.262806
\(730\) 4.50071e7i 0.115694i
\(731\) −1.81405e8 1.76725e7i −0.464404 0.0452425i
\(732\) −1.15977e8 −0.295691
\(733\) 1.41184e7i 0.0358487i 0.999839 + 0.0179243i \(0.00570580\pi\)
−0.999839 + 0.0179243i \(0.994294\pi\)
\(734\) 3.83785e8 2.21579e8i 0.970511 0.560325i
\(735\) −7.53126e7 −0.189673
\(736\) −4.77814e8 + 2.75866e8i −1.19847 + 0.691935i
\(737\) −1.35091e8 2.33984e8i −0.337461 0.584499i
\(738\) 1.08654e8 + 6.27313e7i 0.270318 + 0.156068i
\(739\) 1.54801e8i 0.383566i 0.981437 + 0.191783i \(0.0614270\pi\)
−0.981437 + 0.191783i \(0.938573\pi\)
\(740\) −5.85237e7 + 1.01366e8i −0.144423 + 0.250148i
\(741\) 2.52662e8 + 4.37624e8i 0.620992 + 1.07559i
\(742\) 4.79179e8 1.17297
\(743\) 4.48460e7 2.58918e7i 0.109334 0.0631243i −0.444336 0.895860i \(-0.646560\pi\)
0.553670 + 0.832736i \(0.313227\pi\)
\(744\) −9.76842e7 + 1.69194e8i −0.237195 + 0.410834i
\(745\) 4.00423e7 6.93553e7i 0.0968390 0.167730i
\(746\) −4.13310e8 + 7.15875e8i −0.995543 + 1.72433i
\(747\) 1.04882e8 0.251616
\(748\) 4.10690e7 7.11337e7i 0.0981318 0.169969i
\(749\) 8.27055e8 + 4.77500e8i 1.96829 + 1.13639i
\(750\) 1.65807e8 9.57287e7i 0.393024 0.226913i
\(751\) −4.08165e8 + 2.35654e8i −0.963643 + 0.556360i −0.897292 0.441437i \(-0.854469\pi\)
−0.0663509 + 0.997796i \(0.521136\pi\)
\(752\) −7.90621e8 −1.85915
\(753\) 2.96308e8i 0.693998i
\(754\) −4.28301e8 7.41839e8i −0.999160 1.73060i
\(755\) 2.42762e7 + 4.20476e7i 0.0564079 + 0.0977013i
\(756\) −1.44256e8 + 2.49858e8i −0.333863 + 0.578267i
\(757\) −4.96517e8 2.86664e8i −1.14458 0.660824i −0.197020 0.980400i \(-0.563126\pi\)
−0.947561 + 0.319576i \(0.896460\pi\)
\(758\) 2.02651e8i 0.465308i
\(759\) 2.20439e8 + 1.27271e8i 0.504155 + 0.291074i
\(760\) −1.41965e8 8.19637e7i −0.323401 0.186716i
\(761\) −1.77053e7 1.02222e7i −0.0401744 0.0231947i 0.479778 0.877390i \(-0.340717\pi\)
−0.519953 + 0.854195i \(0.674050\pi\)
\(762\) 6.18763e7 + 1.07173e8i 0.139849 + 0.242226i
\(763\) 1.07514e9i 2.42043i
\(764\) −2.12920e8 + 1.22929e8i −0.477459 + 0.275661i
\