Properties

Label 43.7.d.a.7.18
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 7.18
Character \(\chi\) \(=\) 43.7
Dual form 43.7.d.a.37.4

$q$-expansion

\(f(q)\) \(=\) \(q+12.2048i q^{2} +(14.4234 - 8.32735i) q^{3} -84.9566 q^{4} +(131.217 - 75.7580i) q^{5} +(101.633 + 176.034i) q^{6} +(221.781 + 128.045i) q^{7} -255.771i q^{8} +(-225.811 + 391.115i) q^{9} +O(q^{10})\) \(q+12.2048i q^{2} +(14.4234 - 8.32735i) q^{3} -84.9566 q^{4} +(131.217 - 75.7580i) q^{5} +(101.633 + 176.034i) q^{6} +(221.781 + 128.045i) q^{7} -255.771i q^{8} +(-225.811 + 391.115i) q^{9} +(924.609 + 1601.47i) q^{10} +1824.55 q^{11} +(-1225.36 + 707.463i) q^{12} +(-765.515 + 1325.91i) q^{13} +(-1562.76 + 2706.79i) q^{14} +(1261.73 - 2185.37i) q^{15} -2315.60 q^{16} +(3552.05 - 6152.33i) q^{17} +(-4773.48 - 2755.97i) q^{18} +(-6455.24 + 3726.93i) q^{19} +(-11147.7 + 6436.14i) q^{20} +4265.11 q^{21} +22268.2i q^{22} +(3152.25 + 5459.85i) q^{23} +(-2129.89 - 3689.08i) q^{24} +(3666.04 - 6349.78i) q^{25} +(-16182.4 - 9342.94i) q^{26} +19662.9i q^{27} +(-18841.8 - 10878.3i) q^{28} +(9268.73 + 5351.31i) q^{29} +(26672.0 + 15399.1i) q^{30} +(-9135.02 - 15822.3i) q^{31} -44630.7i q^{32} +(26316.1 - 15193.6i) q^{33} +(75087.8 + 43352.0i) q^{34} +38801.8 q^{35} +(19184.1 - 33227.8i) q^{36} +(64833.0 - 37431.4i) q^{37} +(-45486.4 - 78784.8i) q^{38} +25498.8i q^{39} +(-19376.7 - 33561.4i) q^{40} -89516.6 q^{41} +52054.7i q^{42} +(77674.7 - 16970.8i) q^{43} -155007. q^{44} +68427.8i q^{45} +(-66636.3 + 38472.5i) q^{46} -56266.6 q^{47} +(-33398.8 + 19282.8i) q^{48} +(-26033.3 - 45091.0i) q^{49} +(77497.6 + 44743.3i) q^{50} -118317. i q^{51} +(65035.5 - 112645. i) q^{52} +(-21290.3 - 36875.9i) q^{53} -239981. q^{54} +(239411. - 138224. i) q^{55} +(32750.3 - 56725.1i) q^{56} +(-62071.0 + 107510. i) q^{57} +(-65311.5 + 113123. i) q^{58} +244984. q^{59} +(-107192. + 185662. i) q^{60} +(-125603. - 72517.1i) q^{61} +(193108. - 111491. i) q^{62} +(-100161. + 57828.0i) q^{63} +396509. q^{64} +231975. i q^{65} +(185435. + 321183. i) q^{66} +(-96785.8 - 167638. i) q^{67} +(-301770. + 522681. i) q^{68} +(90932.1 + 52499.7i) q^{69} +473568. i q^{70} +(-421906. - 243587. i) q^{71} +(100036. + 57755.8i) q^{72} +(-507399. - 292947. i) q^{73} +(456842. + 791273. i) q^{74} -122114. i q^{75} +(548415. - 316628. i) q^{76} +(404649. + 233624. i) q^{77} -311208. q^{78} +(-20262.4 + 35095.5i) q^{79} +(-303845. + 175425. i) q^{80} +(-876.143 - 1517.52i) q^{81} -1.09253e6i q^{82} +(-193531. - 335206. i) q^{83} -362349. q^{84} -1.07638e6i q^{85} +(207125. + 948002. i) q^{86} +178249. q^{87} -466666. i q^{88} +(679613. - 392375. i) q^{89} -835146. q^{90} +(-339553. + 196041. i) q^{91} +(-267804. - 463850. i) q^{92} +(-263516. - 152141. i) q^{93} -686722. i q^{94} +(-564690. + 978072. i) q^{95} +(-371655. - 643726. i) q^{96} +60332.1 q^{97} +(550326. - 317731. i) q^{98} +(-412002. + 713608. 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 12.2048i 1.52560i 0.646636 + 0.762799i \(0.276175\pi\)
−0.646636 + 0.762799i \(0.723825\pi\)
\(3\) 14.4234 8.32735i 0.534200 0.308420i −0.208525 0.978017i \(-0.566866\pi\)
0.742725 + 0.669597i \(0.233533\pi\)
\(4\) −84.9566 −1.32745
\(5\) 131.217 75.7580i 1.04973 0.606064i 0.127159 0.991882i \(-0.459414\pi\)
0.922575 + 0.385818i \(0.126081\pi\)
\(6\) 101.633 + 176.034i 0.470525 + 0.814974i
\(7\) 221.781 + 128.045i 0.646592 + 0.373310i 0.787149 0.616763i \(-0.211556\pi\)
−0.140557 + 0.990073i \(0.544889\pi\)
\(8\) 255.771i 0.499553i
\(9\) −225.811 + 391.115i −0.309754 + 0.536509i
\(10\) 924.609 + 1601.47i 0.924609 + 1.60147i
\(11\) 1824.55 1.37081 0.685404 0.728163i \(-0.259626\pi\)
0.685404 + 0.728163i \(0.259626\pi\)
\(12\) −1225.36 + 707.463i −0.709122 + 0.409412i
\(13\) −765.515 + 1325.91i −0.348436 + 0.603510i −0.985972 0.166911i \(-0.946621\pi\)
0.637535 + 0.770421i \(0.279954\pi\)
\(14\) −1562.76 + 2706.79i −0.569521 + 0.986439i
\(15\) 1261.73 2185.37i 0.373845 0.647518i
\(16\) −2315.60 −0.565331
\(17\) 3552.05 6152.33i 0.722989 1.25225i −0.236807 0.971557i \(-0.576101\pi\)
0.959796 0.280698i \(-0.0905658\pi\)
\(18\) −4773.48 2755.97i −0.818497 0.472560i
\(19\) −6455.24 + 3726.93i −0.941134 + 0.543364i −0.890316 0.455344i \(-0.849516\pi\)
−0.0508186 + 0.998708i \(0.516183\pi\)
\(20\) −11147.7 + 6436.14i −1.39347 + 0.804518i
\(21\) 4265.11 0.460545
\(22\) 22268.2i 2.09130i
\(23\) 3152.25 + 5459.85i 0.259082 + 0.448742i 0.965996 0.258556i \(-0.0832468\pi\)
−0.706915 + 0.707299i \(0.749913\pi\)
\(24\) −2129.89 3689.08i −0.154072 0.266861i
\(25\) 3666.04 6349.78i 0.234627 0.406386i
\(26\) −16182.4 9342.94i −0.920713 0.531574i
\(27\) 19662.9i 0.998978i
\(28\) −18841.8 10878.3i −0.858316 0.495549i
\(29\) 9268.73 + 5351.31i 0.380037 + 0.219415i 0.677835 0.735214i \(-0.262919\pi\)
−0.297797 + 0.954629i \(0.596252\pi\)
\(30\) 26672.0 + 15399.1i 0.987852 + 0.570337i
\(31\) −9135.02 15822.3i −0.306637 0.531111i 0.670987 0.741469i \(-0.265870\pi\)
−0.977624 + 0.210358i \(0.932537\pi\)
\(32\) 44630.7i 1.36202i
\(33\) 26316.1 15193.6i 0.732285 0.422785i
\(34\) 75087.8 + 43352.0i 1.91044 + 1.10299i
\(35\) 38801.8 0.904999
\(36\) 19184.1 33227.8i 0.411182 0.712188i
\(37\) 64833.0 37431.4i 1.27994 0.738976i 0.303107 0.952957i \(-0.401976\pi\)
0.976838 + 0.213980i \(0.0686428\pi\)
\(38\) −45486.4 78784.8i −0.828955 1.43579i
\(39\) 25498.8i 0.429859i
\(40\) −19376.7 33561.4i −0.302761 0.524397i
\(41\) −89516.6 −1.29883 −0.649415 0.760435i \(-0.724986\pi\)
−0.649415 + 0.760435i \(0.724986\pi\)
\(42\) 52054.7i 0.702607i
\(43\) 77674.7 16970.8i 0.976954 0.213450i
\(44\) −155007. −1.81968
\(45\) 68427.8i 0.750922i
\(46\) −66636.3 + 38472.5i −0.684600 + 0.395254i
\(47\) −56266.6 −0.541947 −0.270974 0.962587i \(-0.587346\pi\)
−0.270974 + 0.962587i \(0.587346\pi\)
\(48\) −33398.8 + 19282.8i −0.302000 + 0.174360i
\(49\) −26033.3 45091.0i −0.221279 0.383267i
\(50\) 77497.6 + 44743.3i 0.619981 + 0.357946i
\(51\) 118317.i 0.891939i
\(52\) 65035.5 112645.i 0.462531 0.801127i
\(53\) −21290.3 36875.9i −0.143006 0.247694i 0.785621 0.618708i \(-0.212344\pi\)
−0.928627 + 0.371014i \(0.879010\pi\)
\(54\) −239981. −1.52404
\(55\) 239411. 138224.i 1.43898 0.830797i
\(56\) 32750.3 56725.1i 0.186488 0.323007i
\(57\) −62071.0 + 107510.i −0.335169 + 0.580530i
\(58\) −65311.5 + 113123.i −0.334739 + 0.579784i
\(59\) 244984. 1.19284 0.596419 0.802673i \(-0.296590\pi\)
0.596419 + 0.802673i \(0.296590\pi\)
\(60\) −107192. + 185662.i −0.496259 + 0.859546i
\(61\) −125603. 72517.1i −0.553365 0.319485i 0.197113 0.980381i \(-0.436843\pi\)
−0.750478 + 0.660895i \(0.770177\pi\)
\(62\) 193108. 111491.i 0.810261 0.467805i
\(63\) −100161. + 57828.0i −0.400568 + 0.231268i
\(64\) 396509. 1.51256
\(65\) 231975.i 0.844699i
\(66\) 185435. + 321183.i 0.645000 + 1.11717i
\(67\) −96785.8 167638.i −0.321801 0.557375i 0.659059 0.752091i \(-0.270955\pi\)
−0.980860 + 0.194716i \(0.937621\pi\)
\(68\) −301770. + 522681.i −0.959730 + 1.66230i
\(69\) 90932.1 + 52499.7i 0.276803 + 0.159812i
\(70\) 473568.i 1.38066i
\(71\) −421906. 243587.i −1.17880 0.680581i −0.223063 0.974804i \(-0.571606\pi\)
−0.955737 + 0.294223i \(0.904939\pi\)
\(72\) 100036. + 57755.8i 0.268015 + 0.154738i
\(73\) −507399. 292947.i −1.30431 0.753044i −0.323170 0.946341i \(-0.604749\pi\)
−0.981140 + 0.193297i \(0.938082\pi\)
\(74\) 456842. + 791273.i 1.12738 + 1.95268i
\(75\) 122114.i 0.289455i
\(76\) 548415. 316628.i 1.24931 0.721287i
\(77\) 404649. + 233624.i 0.886353 + 0.511736i
\(78\) −311208. −0.655792
\(79\) −20262.4 + 35095.5i −0.0410969 + 0.0711820i −0.885842 0.463987i \(-0.846419\pi\)
0.844745 + 0.535169i \(0.179752\pi\)
\(80\) −303845. + 175425.i −0.593447 + 0.342627i
\(81\) −876.143 1517.52i −0.00164862 0.00285549i
\(82\) 1.09253e6i 1.98149i
\(83\) −193531. 335206.i −0.338467 0.586242i 0.645677 0.763610i \(-0.276575\pi\)
−0.984145 + 0.177368i \(0.943242\pi\)
\(84\) −362349. −0.611350
\(85\) 1.07638e6i 1.75271i
\(86\) 207125. + 948002.i 0.325639 + 1.49044i
\(87\) 178249. 0.270688
\(88\) 466666.i 0.684791i
\(89\) 679613. 392375.i 0.964032 0.556584i 0.0666203 0.997778i \(-0.478778\pi\)
0.897412 + 0.441194i \(0.145445\pi\)
\(90\) −835146. −1.14561
\(91\) −339553. + 196041.i −0.450592 + 0.260150i
\(92\) −267804. 463850.i −0.343917 0.595682i
\(93\) −263516. 152141.i −0.327611 0.189146i
\(94\) 686722.i 0.826794i
\(95\) −564690. + 978072.i −0.658627 + 1.14078i
\(96\) −371655. 643726.i −0.420075 0.727591i
\(97\) 60332.1 0.0661049 0.0330524 0.999454i \(-0.489477\pi\)
0.0330524 + 0.999454i \(0.489477\pi\)
\(98\) 550326. 317731.i 0.584711 0.337583i
\(99\) −412002. + 713608.i −0.424613 + 0.735451i
\(100\) −311455. + 539455.i −0.311455 + 0.539455i
\(101\) −205732. + 356339.i −0.199682 + 0.345859i −0.948425 0.317001i \(-0.897324\pi\)
0.748743 + 0.662860i \(0.230658\pi\)
\(102\) 1.44403e6 1.36074
\(103\) 843106. 1.46030e6i 0.771561 1.33638i −0.165146 0.986269i \(-0.552809\pi\)
0.936707 0.350114i \(-0.113857\pi\)
\(104\) 339129. + 195796.i 0.301485 + 0.174062i
\(105\) 559654. 323116.i 0.483450 0.279120i
\(106\) 450063. 259844.i 0.377881 0.218170i
\(107\) −921373. −0.752115 −0.376057 0.926596i \(-0.622720\pi\)
−0.376057 + 0.926596i \(0.622720\pi\)
\(108\) 1.67049e6i 1.32609i
\(109\) 867532. + 1.50261e6i 0.669894 + 1.16029i 0.977933 + 0.208917i \(0.0669938\pi\)
−0.308039 + 0.951374i \(0.599673\pi\)
\(110\) 1.68699e6 + 2.92196e6i 1.26746 + 2.19531i
\(111\) 623408. 1.07977e6i 0.455831 0.789522i
\(112\) −513555. 296501.i −0.365538 0.211044i
\(113\) 1.01345e6i 0.702374i −0.936305 0.351187i \(-0.885778\pi\)
0.936305 0.351187i \(-0.114222\pi\)
\(114\) −1.31214e6 757563.i −0.885655 0.511333i
\(115\) 827254. + 477616.i 0.543933 + 0.314040i
\(116\) −787440. 454629.i −0.504480 0.291261i
\(117\) −345723. 598809.i −0.215859 0.373879i
\(118\) 2.98998e6i 1.81979i
\(119\) 1.57555e6 909646.i 0.934958 0.539798i
\(120\) −558955. 322713.i −0.323469 0.186755i
\(121\) 1.55740e6 0.879114
\(122\) 885056. 1.53296e6i 0.487406 0.844212i
\(123\) −1.29113e6 + 745436.i −0.693834 + 0.400585i
\(124\) 776081. + 1.34421e6i 0.407044 + 0.705022i
\(125\) 1.25651e6i 0.643332i
\(126\) −705777. 1.22244e6i −0.352822 0.611106i
\(127\) −2.46871e6 −1.20520 −0.602601 0.798043i \(-0.705869\pi\)
−0.602601 + 0.798043i \(0.705869\pi\)
\(128\) 1.98295e6i 0.945542i
\(129\) 979011. 891601.i 0.456056 0.415338i
\(130\) −2.83121e6 −1.28867
\(131\) 487446.i 0.216827i 0.994106 + 0.108413i \(0.0345770\pi\)
−0.994106 + 0.108413i \(0.965423\pi\)
\(132\) −2.23573e6 + 1.29080e6i −0.972070 + 0.561225i
\(133\) −1.90887e6 −0.811373
\(134\) 2.04598e6 1.18125e6i 0.850330 0.490938i
\(135\) 1.48962e6 + 2.58010e6i 0.605445 + 1.04866i
\(136\) −1.57359e6 908510.i −0.625567 0.361171i
\(137\) 2.10439e6i 0.818399i 0.912445 + 0.409199i \(0.134192\pi\)
−0.912445 + 0.409199i \(0.865808\pi\)
\(138\) −640747. + 1.10981e6i −0.243809 + 0.422289i
\(139\) 1.92136e6 + 3.32790e6i 0.715426 + 1.23915i 0.962795 + 0.270233i \(0.0871006\pi\)
−0.247369 + 0.968921i \(0.579566\pi\)
\(140\) −3.29647e6 −1.20134
\(141\) −811555. + 468552.i −0.289508 + 0.167148i
\(142\) 2.97293e6 5.14926e6i 1.03829 1.79837i
\(143\) −1.39672e6 + 2.41918e6i −0.477639 + 0.827296i
\(144\) 522886. 905665.i 0.175113 0.303305i
\(145\) 1.62162e6 0.531917
\(146\) 3.57535e6 6.19269e6i 1.14884 1.98985i
\(147\) −750977. 433577.i −0.236415 0.136494i
\(148\) −5.50800e6 + 3.18004e6i −1.69906 + 0.980952i
\(149\) −3.41329e6 + 1.97067e6i −1.03185 + 0.595737i −0.917513 0.397706i \(-0.869806\pi\)
−0.114333 + 0.993442i \(0.536473\pi\)
\(150\) 1.49037e6 0.441591
\(151\) 5.04282e6i 1.46468i −0.680939 0.732340i \(-0.738428\pi\)
0.680939 0.732340i \(-0.261572\pi\)
\(152\) 953242. + 1.65106e6i 0.271439 + 0.470146i
\(153\) 1.60418e6 + 2.77852e6i 0.447897 + 0.775781i
\(154\) −2.85133e6 + 4.93866e6i −0.780703 + 1.35222i
\(155\) −2.39734e6 1.38410e6i −0.643774 0.371683i
\(156\) 2.16629e6i 0.570616i
\(157\) 38946.5 + 22485.8i 0.0100640 + 0.00581044i 0.505024 0.863106i \(-0.331484\pi\)
−0.494960 + 0.868916i \(0.664817\pi\)
\(158\) −428333. 247298.i −0.108595 0.0626974i
\(159\) −614157. 354584.i −0.152788 0.0882120i
\(160\) −3.38113e6 5.85629e6i −0.825471 1.42976i
\(161\) 1.61452e6i 0.386871i
\(162\) 18521.0 10693.1i 0.00435633 0.00251513i
\(163\) 1.13834e6 + 657218.i 0.262850 + 0.151756i 0.625634 0.780117i \(-0.284840\pi\)
−0.362784 + 0.931873i \(0.618174\pi\)
\(164\) 7.60503e6 1.72413
\(165\) 2.30208e6 3.98731e6i 0.512469 0.887623i
\(166\) 4.09111e6 2.36200e6i 0.894370 0.516365i
\(167\) 4.28790e6 + 7.42687e6i 0.920652 + 1.59462i 0.798408 + 0.602116i \(0.205676\pi\)
0.122244 + 0.992500i \(0.460991\pi\)
\(168\) 1.09089e6i 0.230067i
\(169\) 1.24138e6 + 2.15013e6i 0.257184 + 0.445456i
\(170\) 1.31370e7 2.67393
\(171\) 3.36632e6i 0.673236i
\(172\) −6.59898e6 + 1.44178e6i −1.29685 + 0.283344i
\(173\) −530452. −0.102449 −0.0512245 0.998687i \(-0.516312\pi\)
−0.0512245 + 0.998687i \(0.516312\pi\)
\(174\) 2.17549e6i 0.412961i
\(175\) 1.62612e6 938840.i 0.303416 0.175177i
\(176\) −4.22491e6 −0.774960
\(177\) 3.53350e6 2.04007e6i 0.637214 0.367896i
\(178\) 4.78884e6 + 8.29452e6i 0.849123 + 1.47072i
\(179\) −6.58390e6 3.80122e6i −1.14795 0.662771i −0.199565 0.979885i \(-0.563953\pi\)
−0.948388 + 0.317114i \(0.897286\pi\)
\(180\) 5.81339e6i 0.996810i
\(181\) −5.25655e6 + 9.10462e6i −0.886473 + 1.53542i −0.0424568 + 0.999098i \(0.513518\pi\)
−0.844016 + 0.536318i \(0.819815\pi\)
\(182\) −2.39264e6 4.14417e6i −0.396883 0.687422i
\(183\) −2.41550e6 −0.394143
\(184\) 1.39647e6 806253.i 0.224170 0.129425i
\(185\) 5.67145e6 9.82324e6i 0.895734 1.55146i
\(186\) 1.85685e6 3.21616e6i 0.288561 0.499802i
\(187\) 6.48087e6 1.12252e7i 0.991080 1.71660i
\(188\) 4.78022e6 0.719407
\(189\) −2.51774e6 + 4.36085e6i −0.372928 + 0.645931i
\(190\) −1.19372e7 6.89192e6i −1.74036 1.00480i
\(191\) 4.98943e6 2.88065e6i 0.716062 0.413419i −0.0972393 0.995261i \(-0.531001\pi\)
0.813302 + 0.581842i \(0.197668\pi\)
\(192\) 5.71901e6 3.30187e6i 0.808011 0.466505i
\(193\) −1.24172e7 −1.72723 −0.863616 0.504150i \(-0.831806\pi\)
−0.863616 + 0.504150i \(0.831806\pi\)
\(194\) 736341.i 0.100849i
\(195\) 1.93174e6 + 3.34587e6i 0.260522 + 0.451238i
\(196\) 2.21170e6 + 3.83078e6i 0.293737 + 0.508767i
\(197\) −4.13998e6 + 7.17066e6i −0.541502 + 0.937909i 0.457316 + 0.889304i \(0.348811\pi\)
−0.998818 + 0.0486045i \(0.984523\pi\)
\(198\) −8.70942e6 5.02839e6i −1.12200 0.647788i
\(199\) 3.87228e6i 0.491369i −0.969350 0.245684i \(-0.920987\pi\)
0.969350 0.245684i \(-0.0790126\pi\)
\(200\) −1.62409e6 937668.i −0.203011 0.117208i
\(201\) −2.79196e6 1.61194e6i −0.343812 0.198500i
\(202\) −4.34904e6 2.51092e6i −0.527642 0.304634i
\(203\) 1.37042e6 + 2.37364e6i 0.163819 + 0.283744i
\(204\) 1.00518e7i 1.18400i
\(205\) −1.17461e7 + 6.78160e6i −1.36342 + 0.787174i
\(206\) 1.78227e7 + 1.02899e7i 2.03878 + 1.17709i
\(207\) −2.84724e6 −0.321006
\(208\) 1.77262e6 3.07027e6i 0.196982 0.341183i
\(209\) −1.17779e7 + 6.79996e6i −1.29011 + 0.744848i
\(210\) 3.94356e6 + 6.83045e6i 0.425825 + 0.737550i
\(211\) 1.28313e7i 1.36591i −0.730459 0.682957i \(-0.760694\pi\)
0.730459 0.682957i \(-0.239306\pi\)
\(212\) 1.80875e6 + 3.13285e6i 0.189833 + 0.328801i
\(213\) −8.11374e6 −0.839620
\(214\) 1.12452e7i 1.14742i
\(215\) 8.90654e6 8.11133e6i 0.896177 0.816162i
\(216\) 5.02919e6 0.499042
\(217\) 4.67879e6i 0.457883i
\(218\) −1.83390e7 + 1.05880e7i −1.77014 + 1.02199i
\(219\) −9.75789e6 −0.929017
\(220\) −2.03395e7 + 1.17430e7i −1.91017 + 1.10284i
\(221\) 5.43829e6 + 9.41939e6i 0.503832 + 0.872662i
\(222\) 1.31784e7 + 7.60856e6i 1.20449 + 0.695414i
\(223\) 1.02113e7i 0.920802i 0.887711 + 0.460401i \(0.152294\pi\)
−0.887711 + 0.460401i \(0.847706\pi\)
\(224\) 5.71475e6 9.89824e6i 0.508456 0.880671i
\(225\) 1.65566e6 + 2.86769e6i 0.145353 + 0.251759i
\(226\) 1.23690e7 1.07154
\(227\) 1.40345e7 8.10281e6i 1.19983 0.692720i 0.239310 0.970943i \(-0.423079\pi\)
0.960517 + 0.278223i \(0.0897454\pi\)
\(228\) 5.27334e6 9.13369e6i 0.444919 0.770623i
\(229\) −150445. + 260579.i −0.0125277 + 0.0216986i −0.872221 0.489111i \(-0.837321\pi\)
0.859694 + 0.510810i \(0.170654\pi\)
\(230\) −5.82919e6 + 1.00965e7i −0.479099 + 0.829823i
\(231\) 7.78189e6 0.631319
\(232\) 1.36871e6 2.37067e6i 0.109609 0.189849i
\(233\) 1.62777e7 + 9.39794e6i 1.28684 + 0.742959i 0.978090 0.208183i \(-0.0667550\pi\)
0.308753 + 0.951142i \(0.400088\pi\)
\(234\) 7.30833e6 4.21947e6i 0.570388 0.329314i
\(235\) −7.38312e6 + 4.26265e6i −0.568900 + 0.328455i
\(236\) −2.08130e7 −1.58343
\(237\) 674928.i 0.0507005i
\(238\) 1.11020e7 + 1.92293e7i 0.823515 + 1.42637i
\(239\) 2.57203e6 + 4.45488e6i 0.188401 + 0.326319i 0.944717 0.327887i \(-0.106336\pi\)
−0.756317 + 0.654206i \(0.773003\pi\)
\(240\) −2.92165e6 + 5.06044e6i −0.211346 + 0.366062i
\(241\) 2.02777e7 + 1.17073e7i 1.44866 + 0.836385i 0.998402 0.0565131i \(-0.0179983\pi\)
0.450259 + 0.892898i \(0.351332\pi\)
\(242\) 1.90078e7i 1.34117i
\(243\) −1.24391e7 7.18171e6i −0.866902 0.500506i
\(244\) 1.06708e7 + 6.16081e6i 0.734563 + 0.424100i
\(245\) −6.83201e6 3.94446e6i −0.464569 0.268219i
\(246\) −9.09788e6 1.57580e7i −0.611132 1.05851i
\(247\) 1.14121e7i 0.757311i
\(248\) −4.04689e6 + 2.33647e6i −0.265318 + 0.153181i
\(249\) −5.58275e6 3.22320e6i −0.361618 0.208780i
\(250\) −1.53354e7 −0.981466
\(251\) 1.13327e7 1.96289e7i 0.716660 1.24129i −0.245656 0.969357i \(-0.579003\pi\)
0.962316 0.271935i \(-0.0876635\pi\)
\(252\) 8.50934e6 4.91287e6i 0.531734 0.306996i
\(253\) 5.75142e6 + 9.96174e6i 0.355151 + 0.615140i
\(254\) 3.01301e7i 1.83865i
\(255\) −8.96342e6 1.55251e7i −0.540572 0.936298i
\(256\) 1.17519e6 0.0700466
\(257\) 1.63248e7i 0.961718i 0.876798 + 0.480859i \(0.159675\pi\)
−0.876798 + 0.480859i \(0.840325\pi\)
\(258\) 1.08818e7 + 1.19486e7i 0.633638 + 0.695758i
\(259\) 1.91716e7 1.10347
\(260\) 1.97078e7i 1.12129i
\(261\) −4.18595e6 + 2.41676e6i −0.235436 + 0.135929i
\(262\) −5.94917e6 −0.330790
\(263\) −1.74308e7 + 1.00637e7i −0.958186 + 0.553209i −0.895614 0.444832i \(-0.853264\pi\)
−0.0625716 + 0.998040i \(0.519930\pi\)
\(264\) −3.88609e6 6.73090e6i −0.211203 0.365815i
\(265\) −5.58729e6 3.22582e6i −0.300237 0.173342i
\(266\) 2.32973e7i 1.23783i
\(267\) 6.53488e6 1.13187e7i 0.343324 0.594654i
\(268\) 8.22259e6 + 1.42419e7i 0.427173 + 0.739886i
\(269\) −1.85343e6 −0.0952180 −0.0476090 0.998866i \(-0.515160\pi\)
−0.0476090 + 0.998866i \(0.515160\pi\)
\(270\) −3.14895e7 + 1.81805e7i −1.59983 + 0.923665i
\(271\) 9.48380e6 1.64264e7i 0.476513 0.825344i −0.523125 0.852256i \(-0.675234\pi\)
0.999638 + 0.0269118i \(0.00856734\pi\)
\(272\) −8.22511e6 + 1.42463e7i −0.408728 + 0.707938i
\(273\) −3.26501e6 + 5.65516e6i −0.160471 + 0.277944i
\(274\) −2.56836e7 −1.24855
\(275\) 6.68886e6 1.15855e7i 0.321628 0.557077i
\(276\) −7.72529e6 4.46020e6i −0.367441 0.212142i
\(277\) 3.20293e7 1.84921e7i 1.50698 0.870057i 0.507016 0.861937i \(-0.330749\pi\)
0.999967 0.00812030i \(-0.00258480\pi\)
\(278\) −4.06162e7 + 2.34498e7i −1.89045 + 1.09145i
\(279\) 8.25114e6 0.379928
\(280\) 9.92438e6i 0.452094i
\(281\) −1.53110e7 2.65194e7i −0.690057 1.19521i −0.971819 0.235729i \(-0.924252\pi\)
0.281762 0.959484i \(-0.409081\pi\)
\(282\) −5.71857e6 9.90485e6i −0.255000 0.441673i
\(283\) 1.24793e6 2.16148e6i 0.0550593 0.0953655i −0.837182 0.546924i \(-0.815799\pi\)
0.892241 + 0.451559i \(0.149132\pi\)
\(284\) 3.58437e7 + 2.06944e7i 1.56479 + 0.903435i
\(285\) 1.88095e7i 0.812536i
\(286\) −2.95256e7 1.70466e7i −1.26212 0.728685i
\(287\) −1.98531e7 1.14622e7i −0.839812 0.484866i
\(288\) 1.74557e7 + 1.00781e7i 0.730737 + 0.421891i
\(289\) −1.31653e7 2.28030e7i −0.545428 0.944708i
\(290\) 1.97915e7i 0.811492i
\(291\) 870194. 502407.i 0.0353132 0.0203881i
\(292\) 4.31069e7 + 2.48878e7i 1.73140 + 0.999626i
\(293\) 1.80623e7 0.718076 0.359038 0.933323i \(-0.383105\pi\)
0.359038 + 0.933323i \(0.383105\pi\)
\(294\) 5.29171e6 9.16551e6i 0.208235 0.360674i
\(295\) 3.21460e7 1.85595e7i 1.25216 0.722936i
\(296\) −9.57386e6 1.65824e7i −0.369158 0.639400i
\(297\) 3.58758e7i 1.36941i
\(298\) −2.40515e7 4.16585e7i −0.908854 1.57418i
\(299\) −9.65236e6 −0.361094
\(300\) 1.03744e7i 0.384236i
\(301\) 1.93998e7 + 6.18208e6i 0.711373 + 0.226691i
\(302\) 6.15465e7 2.23451
\(303\) 6.85282e6i 0.246344i
\(304\) 1.49477e7 8.63008e6i 0.532053 0.307181i
\(305\) −2.19750e7 −0.774514
\(306\) −3.39112e7 + 1.95787e7i −1.18353 + 0.683311i
\(307\) 2.30700e7 + 3.99585e7i 0.797321 + 1.38100i 0.921355 + 0.388722i \(0.127083\pi\)
−0.124034 + 0.992278i \(0.539583\pi\)
\(308\) −3.43776e7 1.98479e7i −1.17659 0.679303i
\(309\) 2.80833e7i 0.951861i
\(310\) 1.68927e7 2.92589e7i 0.567039 0.982140i
\(311\) −9.54344e6 1.65297e7i −0.317266 0.549521i 0.662650 0.748929i \(-0.269432\pi\)
−0.979917 + 0.199408i \(0.936098\pi\)
\(312\) 6.52186e6 0.214737
\(313\) 4.86336e7 2.80786e7i 1.58600 0.915678i 0.592043 0.805906i \(-0.298322\pi\)
0.993957 0.109771i \(-0.0350118\pi\)
\(314\) −274434. + 475334.i −0.00886439 + 0.0153536i
\(315\) −8.76186e6 + 1.51760e7i −0.280327 + 0.485540i
\(316\) 1.72142e6 2.98160e6i 0.0545540 0.0944903i
\(317\) −2.49276e7 −0.782534 −0.391267 0.920277i \(-0.627963\pi\)
−0.391267 + 0.920277i \(0.627963\pi\)
\(318\) 4.32762e6 7.49566e6i 0.134576 0.233092i
\(319\) 1.69112e7 + 9.76370e6i 0.520958 + 0.300775i
\(320\) 5.20286e7 3.00388e7i 1.58779 0.916710i
\(321\) −1.32893e7 + 7.67259e6i −0.401779 + 0.231967i
\(322\) −1.97049e7 −0.590209
\(323\) 5.29530e7i 1.57139i
\(324\) 74434.1 + 128924.i 0.00218845 + 0.00379051i
\(325\) 5.61282e6 + 9.72169e6i 0.163505 + 0.283199i
\(326\) −8.02120e6 + 1.38931e7i −0.231519 + 0.401003i
\(327\) 2.50255e7 + 1.44485e7i 0.715714 + 0.413218i
\(328\) 2.28957e7i 0.648833i
\(329\) −1.24789e7 7.20468e6i −0.350419 0.202314i
\(330\) 4.86643e7 + 2.80963e7i 1.35416 + 0.781822i
\(331\) 2.01275e6 + 1.16206e6i 0.0555016 + 0.0320439i 0.527494 0.849559i \(-0.323132\pi\)
−0.471992 + 0.881603i \(0.656465\pi\)
\(332\) 1.64417e7 + 2.84779e7i 0.449297 + 0.778206i
\(333\) 3.38096e7i 0.915603i
\(334\) −9.06433e7 + 5.23329e7i −2.43274 + 1.40454i
\(335\) −2.53998e7 1.46646e7i −0.675610 0.390064i
\(336\) −9.87628e6 −0.260361
\(337\) −3.73122e7 + 6.46266e7i −0.974901 + 1.68858i −0.294642 + 0.955608i \(0.595200\pi\)
−0.680260 + 0.732971i \(0.738133\pi\)
\(338\) −2.62419e7 + 1.51508e7i −0.679587 + 0.392359i
\(339\) −8.43938e6 1.46174e7i −0.216626 0.375208i
\(340\) 9.14459e7i 2.32663i
\(341\) −1.66673e7 2.88686e7i −0.420340 0.728051i
\(342\) 4.10852e7 1.02709
\(343\) 4.34626e7i 1.07704i
\(344\) −4.34063e6 1.98669e7i −0.106630 0.488040i
\(345\) 1.59091e7 0.387425
\(346\) 6.47405e6i 0.156296i
\(347\) −6.61233e7 + 3.81763e7i −1.58258 + 0.913703i −0.588099 + 0.808789i \(0.700124\pi\)
−0.994481 + 0.104915i \(0.966543\pi\)
\(348\) −1.51434e7 −0.359324
\(349\) 1.12563e7 6.49883e6i 0.264801 0.152883i −0.361722 0.932286i \(-0.617811\pi\)
0.626523 + 0.779403i \(0.284478\pi\)
\(350\) 1.14583e7 + 1.98464e7i 0.267250 + 0.462890i
\(351\) −2.60712e7 1.50522e7i −0.602893 0.348080i
\(352\) 8.14307e7i 1.86707i
\(353\) 9.59845e6 1.66250e7i 0.218211 0.377953i −0.736050 0.676927i \(-0.763311\pi\)
0.954261 + 0.298974i \(0.0966445\pi\)
\(354\) 2.48986e7 + 4.31256e7i 0.561261 + 0.972132i
\(355\) −7.38147e7 −1.64990
\(356\) −5.77376e7 + 3.33348e7i −1.27970 + 0.738836i
\(357\) 1.51499e7 2.62404e7i 0.332970 0.576720i
\(358\) 4.63930e7 8.03550e7i 1.01112 1.75131i
\(359\) 8.08127e6 1.39972e7i 0.174661 0.302522i −0.765383 0.643575i \(-0.777450\pi\)
0.940044 + 0.341053i \(0.110784\pi\)
\(360\) 1.75018e7 0.375125
\(361\) 4.25715e6 7.37360e6i 0.0904893 0.156732i
\(362\) −1.11120e8 6.41551e7i −2.34243 1.35240i
\(363\) 2.24631e7 1.29691e7i 0.469623 0.271137i
\(364\) 2.88473e7 1.66550e7i 0.598137 0.345335i
\(365\) −8.87723e7 −1.82557
\(366\) 2.94807e7i 0.601304i
\(367\) −1.83324e7 3.17526e7i −0.370869 0.642364i 0.618831 0.785524i \(-0.287607\pi\)
−0.989699 + 0.143161i \(0.954273\pi\)
\(368\) −7.29933e6 1.26428e7i −0.146467 0.253688i
\(369\) 2.02138e7 3.50113e7i 0.402317 0.696834i
\(370\) 1.19890e8 + 6.92188e7i 2.36690 + 1.36653i
\(371\) 1.09045e7i 0.213542i
\(372\) 2.23874e7 + 1.29254e7i 0.434886 + 0.251082i
\(373\) 1.34444e6 + 776212.i 0.0259068 + 0.0149573i 0.512897 0.858450i \(-0.328572\pi\)
−0.486991 + 0.873407i \(0.661905\pi\)
\(374\) 1.37001e8 + 7.90976e7i 2.61884 + 1.51199i
\(375\) 1.04634e7 + 1.81231e7i 0.198417 + 0.343668i
\(376\) 1.43914e7i 0.270731i
\(377\) −1.41907e7 + 8.19301e6i −0.264838 + 0.152904i
\(378\) −5.32233e7 3.07285e7i −0.985431 0.568939i
\(379\) −2.87626e7 −0.528337 −0.264169 0.964477i \(-0.585098\pi\)
−0.264169 + 0.964477i \(0.585098\pi\)
\(380\) 4.79742e7 8.30937e7i 0.874292 1.51432i
\(381\) −3.56072e7 + 2.05578e7i −0.643818 + 0.371709i
\(382\) 3.51577e7 + 6.08949e7i 0.630711 + 1.09242i
\(383\) 8.23029e6i 0.146494i −0.997314 0.0732468i \(-0.976664\pi\)
0.997314 0.0732468i \(-0.0233361\pi\)
\(384\) 1.65127e7 + 2.86008e7i 0.291624 + 0.505108i
\(385\) 7.07957e7 1.24058
\(386\) 1.51549e8i 2.63506i
\(387\) −1.09022e7 + 3.42119e7i −0.188097 + 0.590262i
\(388\) −5.12562e6 −0.0877507
\(389\) 6.78277e7i 1.15228i 0.817351 + 0.576140i \(0.195442\pi\)
−0.817351 + 0.576140i \(0.804558\pi\)
\(390\) −4.08356e7 + 2.35765e7i −0.688407 + 0.397452i
\(391\) 4.47877e7 0.749253
\(392\) −1.15330e7 + 6.65856e6i −0.191462 + 0.110541i
\(393\) 4.05913e6 + 7.03063e6i 0.0668738 + 0.115829i
\(394\) −8.75163e7 5.05276e7i −1.43087 0.826114i
\(395\) 6.14015e6i 0.0996295i
\(396\) 3.50023e7 6.06257e7i 0.563651 0.976273i
\(397\) 3.00205e7 + 5.19971e7i 0.479785 + 0.831012i 0.999731 0.0231870i \(-0.00738132\pi\)
−0.519946 + 0.854199i \(0.674048\pi\)
\(398\) 4.72603e7 0.749631
\(399\) −2.75323e7 + 1.58958e7i −0.433435 + 0.250244i
\(400\) −8.48908e6 + 1.47035e7i −0.132642 + 0.229742i
\(401\) −2.40289e7 + 4.16193e7i −0.372650 + 0.645449i −0.989972 0.141261i \(-0.954884\pi\)
0.617322 + 0.786710i \(0.288218\pi\)
\(402\) 1.96733e7 3.40752e7i 0.302831 0.524518i
\(403\) 2.79720e7 0.427374
\(404\) 1.74783e7 3.02734e7i 0.265067 0.459110i
\(405\) −229929. 132750.i −0.00346122 0.00199833i
\(406\) −2.89697e7 + 1.67257e7i −0.432878 + 0.249922i
\(407\) 1.18291e8 6.82952e7i 1.75456 1.01299i
\(408\) −3.02619e7 −0.445570
\(409\) 1.06781e8i 1.56071i 0.625335 + 0.780356i \(0.284962\pi\)
−0.625335 + 0.780356i \(0.715038\pi\)
\(410\) −8.27679e7 1.43358e8i −1.20091 2.08004i
\(411\) 1.75240e7 + 3.03525e7i 0.252411 + 0.437188i
\(412\) −7.16274e7 + 1.24062e8i −1.02421 + 1.77398i
\(413\) 5.43328e7 + 3.13690e7i 0.771280 + 0.445298i
\(414\) 3.47499e7i 0.489726i
\(415\) −5.07890e7 2.93231e7i −0.710601 0.410265i
\(416\) 5.91763e7 + 3.41654e7i 0.821992 + 0.474577i
\(417\) 5.54251e7 + 3.19997e7i 0.764361 + 0.441304i
\(418\) −8.29920e7 1.43746e8i −1.13634 1.96820i
\(419\) 5.52509e6i 0.0751099i 0.999295 + 0.0375549i \(0.0119569\pi\)
−0.999295 + 0.0375549i \(0.988043\pi\)
\(420\) −4.75463e7 + 2.74509e7i −0.641754 + 0.370517i
\(421\) −5.71866e6 3.30167e6i −0.0766386 0.0442473i 0.461191 0.887301i \(-0.347422\pi\)
−0.537830 + 0.843054i \(0.680756\pi\)
\(422\) 1.56603e8 2.08383
\(423\) 1.27056e7 2.20067e7i 0.167870 0.290760i
\(424\) −9.43179e6 + 5.44545e6i −0.123736 + 0.0714391i
\(425\) −2.60439e7 4.51094e7i −0.339266 0.587625i
\(426\) 9.90265e7i 1.28092i
\(427\) −1.85710e7 3.21658e7i −0.238534 0.413153i
\(428\) 7.82767e7 0.998393
\(429\) 4.65238e7i 0.589255i
\(430\) 9.89970e7 + 1.08702e8i 1.24514 + 1.36720i
\(431\) 4.98044e7 0.622065 0.311032 0.950399i \(-0.399325\pi\)
0.311032 + 0.950399i \(0.399325\pi\)
\(432\) 4.55313e7i 0.564753i
\(433\) −1.16571e8 + 6.73021e7i −1.43590 + 0.829020i −0.997562 0.0697879i \(-0.977768\pi\)
−0.438343 + 0.898808i \(0.644434\pi\)
\(434\) 5.71036e7 0.698544
\(435\) 2.33892e7 1.35038e7i 0.284150 0.164054i
\(436\) −7.37026e7 1.27657e8i −0.889249 1.54022i
\(437\) −4.06970e7 2.34964e7i −0.487661 0.281551i
\(438\) 1.19093e8i 1.41731i
\(439\) 6.04326e7 1.04672e8i 0.714295 1.23720i −0.248936 0.968520i \(-0.580081\pi\)
0.963231 0.268676i \(-0.0865859\pi\)
\(440\) −3.53536e7 6.12343e7i −0.415027 0.718848i
\(441\) 2.35144e7 0.274169
\(442\) −1.14962e8 + 6.63731e7i −1.33133 + 0.768644i
\(443\) 1.59862e6 2.76889e6i 0.0183880 0.0318490i −0.856685 0.515840i \(-0.827480\pi\)
0.875073 + 0.483991i \(0.160813\pi\)
\(444\) −5.29626e7 + 9.17340e7i −0.605091 + 1.04805i
\(445\) 5.94510e7 1.02972e8i 0.674651 1.16853i
\(446\) −1.24627e8 −1.40477
\(447\) −3.28209e7 + 5.68474e7i −0.367475 + 0.636485i
\(448\) 8.79382e7 + 5.07712e7i 0.978011 + 0.564655i
\(449\) −8.85064e7 + 5.10992e7i −0.977768 + 0.564515i −0.901596 0.432580i \(-0.857603\pi\)
−0.0761725 + 0.997095i \(0.524270\pi\)
\(450\) −3.49995e7 + 2.02070e7i −0.384083 + 0.221750i
\(451\) −1.63327e8 −1.78045
\(452\) 8.60995e7i 0.932364i
\(453\) −4.19934e7 7.27346e7i −0.451737 0.782432i
\(454\) 9.88930e7 + 1.71288e8i 1.05681 + 1.83045i
\(455\) −2.97034e7 + 5.14477e7i −0.315334 + 0.546175i
\(456\) 2.74980e7 + 1.58759e7i 0.290005 + 0.167435i
\(457\) 1.61189e7i 0.168884i 0.996428 + 0.0844419i \(0.0269107\pi\)
−0.996428 + 0.0844419i \(0.973089\pi\)
\(458\) −3.18030e6 1.83615e6i −0.0331034 0.0191122i
\(459\) 1.20972e8 + 6.98435e7i 1.25097 + 0.722251i
\(460\) −7.02807e7 4.05766e7i −0.722043 0.416871i
\(461\) −2.23123e7 3.86460e7i −0.227741 0.394459i 0.729397 0.684090i \(-0.239801\pi\)
−0.957138 + 0.289631i \(0.906467\pi\)
\(462\) 9.49762e7i 0.963139i
\(463\) 4.43822e7 2.56241e7i 0.447163 0.258170i −0.259468 0.965752i \(-0.583547\pi\)
0.706631 + 0.707582i \(0.250214\pi\)
\(464\) −2.14626e7 1.23915e7i −0.214847 0.124042i
\(465\) −4.61036e7 −0.458539
\(466\) −1.14700e8 + 1.98666e8i −1.13346 + 1.96320i
\(467\) 3.45832e7 1.99666e7i 0.339558 0.196044i −0.320518 0.947242i \(-0.603857\pi\)
0.660077 + 0.751198i \(0.270524\pi\)
\(468\) 2.93714e7 + 5.08728e7i 0.286541 + 0.496304i
\(469\) 4.95718e7i 0.480526i
\(470\) −5.20246e7 9.01093e7i −0.501090 0.867913i
\(471\) 748988. 0.00716823
\(472\) 6.26598e7i 0.595886i
\(473\) 1.41721e8 3.09640e7i 1.33922 0.292599i
\(474\) −8.23735e6 −0.0773486
\(475\) 5.46524e7i 0.509951i
\(476\) −1.33854e8 + 7.72804e7i −1.24111 + 0.716554i
\(477\) 1.92303e7 0.177187
\(478\) −5.43709e7 + 3.13910e7i −0.497832 + 0.287423i
\(479\) 3.49917e7 + 6.06074e7i 0.318389 + 0.551467i 0.980152 0.198247i \(-0.0635247\pi\)
−0.661763 + 0.749713i \(0.730191\pi\)
\(480\) −9.75347e7 5.63117e7i −0.881933 0.509184i
\(481\) 1.14617e8i 1.02995i
\(482\) −1.42885e8 + 2.47484e8i −1.27599 + 2.21007i
\(483\) 1.34447e7 + 2.32869e7i 0.119319 + 0.206666i
\(484\) −1.32312e8 −1.16698
\(485\) 7.91658e6 4.57064e6i 0.0693925 0.0400638i
\(486\) 8.76512e7 1.51816e8i 0.763571 1.32254i
\(487\) 4.94502e7 8.56503e7i 0.428135 0.741552i −0.568572 0.822633i \(-0.692504\pi\)
0.996708 + 0.0810811i \(0.0258373\pi\)
\(488\) −1.85478e7 + 3.21257e7i −0.159600 + 0.276435i
\(489\) 2.18915e7 0.187219
\(490\) 4.81413e7 8.33831e7i 0.409194 0.708745i
\(491\) 4.69445e7 + 2.71034e7i 0.396589 + 0.228971i 0.685011 0.728533i \(-0.259797\pi\)
−0.288422 + 0.957503i \(0.593131\pi\)
\(492\) 1.09690e8 6.33297e7i 0.921028 0.531756i
\(493\) 6.58460e7 3.80162e7i 0.549526 0.317269i
\(494\) 1.39282e8 1.15535
\(495\) 1.24850e8i 1.02937i
\(496\) 2.11530e7 + 3.66381e7i 0.173351 + 0.300254i
\(497\) −6.23804e7 1.08046e8i −0.508135 0.880116i
\(498\) 3.93385e7 6.81362e7i 0.318515 0.551684i
\(499\) 1.12455e8 + 6.49258e7i 0.905058 + 0.522535i 0.878838 0.477121i \(-0.158320\pi\)
0.0262201 + 0.999656i \(0.491653\pi\)
\(500\) 1.06749e8i 0.853990i
\(501\) 1.23692e8 + 7.14137e7i 0.983624 + 0.567896i
\(502\) 2.39566e8 + 1.38313e8i 1.89371 + 1.09333i
\(503\) 2.91336e7 + 1.68203e7i 0.228923 + 0.132169i 0.610075 0.792343i \(-0.291139\pi\)
−0.381152 + 0.924512i \(0.624473\pi\)
\(504\) 1.47907e7 + 2.56183e7i 0.115531 + 0.200105i
\(505\) 6.23435e7i 0.484080i
\(506\) −1.21581e8 + 7.01947e7i −0.938456 + 0.541818i
\(507\) 3.58098e7 + 2.06748e7i 0.274775 + 0.158642i
\(508\) 2.09734e8 1.59984
\(509\) 1.09957e8 1.90451e8i 0.833813 1.44421i −0.0611798 0.998127i \(-0.519486\pi\)
0.894993 0.446080i \(-0.147180\pi\)
\(510\) 1.89480e8 1.09397e8i 1.42841 0.824695i
\(511\) −7.50210e7 1.29940e8i −0.562238 0.973824i
\(512\) 1.41251e8i 1.05241i
\(513\) −7.32823e7 1.26929e8i −0.542809 0.940173i
\(514\) −1.99240e8 −1.46719
\(515\) 2.55488e8i 1.87046i
\(516\) −8.31734e7 + 7.57474e7i −0.605390 + 0.551339i
\(517\) −1.02661e8 −0.742906
\(518\) 2.33986e8i 1.68345i
\(519\) −7.65092e6 + 4.41726e6i −0.0547282 + 0.0315974i
\(520\) 5.93326e7 0.421971
\(521\) −1.71803e8 + 9.91905e7i −1.21484 + 0.701386i −0.963809 0.266594i \(-0.914102\pi\)
−0.251027 + 0.967980i \(0.580768\pi\)
\(522\) −2.94960e7 5.10887e7i −0.207373 0.359181i
\(523\) −4.84491e7 2.79721e7i −0.338673 0.195533i 0.321012 0.947075i \(-0.395977\pi\)
−0.659685 + 0.751542i \(0.729310\pi\)
\(524\) 4.14118e7i 0.287826i
\(525\) 1.56361e7 2.70825e7i 0.108056 0.187159i
\(526\) −1.22825e8 2.12739e8i −0.843974 1.46181i
\(527\) −1.29792e8 −0.886781
\(528\) −6.09375e7 + 3.51823e7i −0.413984 + 0.239014i
\(529\) 5.41446e7 9.37813e7i 0.365753 0.633504i
\(530\) 3.93705e7 6.81917e7i 0.264450 0.458040i
\(531\) −5.53200e7 + 9.58170e7i −0.369486 + 0.639969i
\(532\) 1.62171e8 1.07705
\(533\) 6.85263e7 1.18691e8i 0.452559 0.783856i
\(534\) 1.38143e8 + 7.97568e7i 0.907203 + 0.523774i
\(535\) −1.20900e8 + 6.98014e7i −0.789520 + 0.455830i
\(536\) −4.28769e7 + 2.47550e7i −0.278438 + 0.160756i
\(537\) −1.26616e8 −0.817648
\(538\) 2.26207e7i 0.145264i
\(539\) −4.74989e7 8.22706e7i −0.303332 0.525386i
\(540\) −1.26553e8 2.19196e8i −0.803696 1.39204i
\(541\) −6.90958e6 + 1.19678e7i −0.0436375 + 0.0755824i −0.887019 0.461733i \(-0.847228\pi\)
0.843382 + 0.537315i \(0.180561\pi\)
\(542\) 2.00481e8 + 1.15748e8i 1.25914 + 0.726966i
\(543\) 1.75093e8i 1.09363i
\(544\) −2.74583e8 1.58530e8i −1.70560 0.984726i
\(545\) 2.27669e8 + 1.31445e8i 1.40642 + 0.811997i
\(546\) −6.90199e7 3.98487e7i −0.424030 0.244814i
\(547\) 8.89896e7 + 1.54134e8i 0.543722 + 0.941755i 0.998686 + 0.0512447i \(0.0163188\pi\)
−0.454964 + 0.890510i \(0.650348\pi\)
\(548\) 1.78782e8i 1.08638i
\(549\) 5.67251e7 3.27503e7i 0.342814 0.197924i
\(550\) 1.41398e8 + 8.16361e7i 0.849875 + 0.490675i
\(551\) −7.97759e7 −0.476888
\(552\) 1.34279e7 2.32578e7i 0.0798345 0.138277i
\(553\) −8.98763e6 + 5.18901e6i −0.0531459 + 0.0306838i
\(554\) 2.25692e8 + 3.90911e8i 1.32736 + 2.29905i
\(555\) 1.88913e8i 1.10505i
\(556\) −1.63232e8 2.82727e8i −0.949690 1.64491i
\(557\) −2.05210e8 −1.18750 −0.593749 0.804650i \(-0.702353\pi\)
−0.593749 + 0.804650i \(0.702353\pi\)
\(558\) 1.00703e8i 0.579617i
\(559\) −3.69594e7 + 1.15981e8i −0.211587 + 0.663975i
\(560\) −8.98493e7 −0.511624
\(561\) 2.15874e8i 1.22268i
\(562\) 3.23664e8 1.86867e8i 1.82341 1.05275i
\(563\) −1.61619e8 −0.905666 −0.452833 0.891595i \(-0.649587\pi\)
−0.452833 + 0.891595i \(0.649587\pi\)
\(564\) 6.89470e7 3.98066e7i 0.384307 0.221880i
\(565\) −7.67771e7 1.32982e8i −0.425683 0.737305i
\(566\) 2.63803e7 + 1.52307e7i 0.145489 + 0.0839983i
\(567\) 448744.i 0.00246178i
\(568\) −6.23025e7 + 1.07911e8i −0.339986 + 0.588873i
\(569\) −9.86242e7 1.70822e8i −0.535361 0.927273i −0.999146 0.0413246i \(-0.986842\pi\)
0.463785 0.885948i \(-0.346491\pi\)
\(570\) −2.29566e8 −1.23960
\(571\) 2.19840e7 1.26925e7i 0.118086 0.0681770i −0.439794 0.898099i \(-0.644948\pi\)
0.557880 + 0.829922i \(0.311615\pi\)
\(572\) 1.18660e8 2.05526e8i 0.634041 1.09819i
\(573\) 4.79763e7 8.30975e7i 0.255014 0.441696i
\(574\) 1.39893e8 2.42302e8i 0.739710 1.28122i
\(575\) 4.62251e7 0.243150
\(576\) −8.95360e7 + 1.55081e8i −0.468522 + 0.811504i
\(577\) −7.83811e7 4.52533e7i −0.408022 0.235572i 0.281917 0.959439i \(-0.409030\pi\)
−0.689940 + 0.723867i \(0.742363\pi\)
\(578\) 2.78305e8 1.60680e8i 1.44124 0.832103i
\(579\) −1.79098e8 + 1.03402e8i −0.922687 + 0.532713i
\(580\) −1.37767e8 −0.706092
\(581\) 9.91230e7i 0.505413i
\(582\) 6.13176e6 + 1.06205e7i 0.0311040 + 0.0538737i
\(583\) −3.88452e7 6.72818e7i −0.196034 0.339541i
\(584\) −7.49273e7 + 1.29778e8i −0.376185 + 0.651572i
\(585\) −9.07291e7 5.23825e7i −0.453189 0.261649i
\(586\) 2.20447e8i 1.09550i
\(587\) −8.11189e7 4.68340e7i −0.401059 0.231551i 0.285882 0.958265i \(-0.407713\pi\)
−0.686941 + 0.726713i \(0.741047\pi\)
\(588\) 6.38005e7 + 3.68352e7i 0.313828 + 0.181189i
\(589\) 1.17938e8 + 6.80913e7i 0.577173 + 0.333231i
\(590\) 2.26515e8 + 3.92335e8i 1.10291 + 1.91030i
\(591\) 1.37900e8i 0.668041i
\(592\) −1.50127e8 + 8.66759e7i −0.723593 + 0.417766i
\(593\) 1.39072e8 + 8.02930e7i 0.666921 + 0.385047i 0.794909 0.606729i \(-0.207519\pi\)
−0.127988 + 0.991776i \(0.540852\pi\)
\(594\) −4.37857e8 −2.08916
\(595\) 1.37826e8 2.38721e8i 0.654305 1.13329i
\(596\) 2.89982e8 1.67421e8i 1.36972 0.790809i
\(597\) −3.22458e7 5.58514e7i −0.151548 0.262489i
\(598\) 1.17805e8i 0.550884i
\(599\) 1.52271e8 + 2.63742e8i 0.708497 + 1.22715i 0.965415 + 0.260719i \(0.0839596\pi\)
−0.256918 + 0.966433i \(0.582707\pi\)
\(600\) −3.12331e7 −0.144598
\(601\) 3.07887e8i 1.41830i 0.705058 + 0.709149i \(0.250921\pi\)
−0.705058 + 0.709149i \(0.749079\pi\)
\(602\) −7.54509e7 + 2.36770e8i −0.345840 + 1.08527i
\(603\) 8.74210e7 0.398716
\(604\) 4.28421e8i 1.94429i
\(605\) 2.04357e8 1.17986e8i 0.922836 0.532799i
\(606\) −8.36372e7 −0.375821
\(607\) 4.78001e7 2.75974e7i 0.213729 0.123396i −0.389314 0.921105i \(-0.627288\pi\)
0.603043 + 0.797709i \(0.293955\pi\)
\(608\) 1.66336e8 + 2.88102e8i 0.740073 + 1.28184i
\(609\) 3.95322e7 + 2.28239e7i 0.175025 + 0.101050i
\(610\) 2.68200e8i 1.18160i
\(611\) 4.30729e7 7.46045e7i 0.188834 0.327070i
\(612\) −1.36286e8 2.36054e8i −0.594560 1.02981i
\(613\) 2.23884e8 0.971944 0.485972 0.873974i \(-0.338466\pi\)
0.485972 + 0.873974i \(0.338466\pi\)
\(614\) −4.87684e8 + 2.81565e8i −2.10685 + 1.21639i
\(615\) −1.12945e8 + 1.95627e8i −0.485561 + 0.841016i
\(616\) 5.97543e7 1.03498e8i 0.255639 0.442780i
\(617\) −1.86075e8 + 3.22292e8i −0.792196 + 1.37212i 0.132408 + 0.991195i \(0.457729\pi\)
−0.924604 + 0.380929i \(0.875604\pi\)
\(618\) 3.42751e8 1.45216
\(619\) 1.73207e8 3.00003e8i 0.730285 1.26489i −0.226476 0.974017i \(-0.572720\pi\)
0.956761 0.290875i \(-0.0939463\pi\)
\(620\) 2.03669e8 + 1.17589e8i 0.854576 + 0.493390i
\(621\) −1.07356e8 + 6.19822e7i −0.448284 + 0.258817i
\(622\) 2.01742e8 1.16476e8i 0.838348 0.484021i
\(623\) 2.00967e8 0.831113
\(624\) 5.90450e7i 0.243013i
\(625\) 1.52472e8 + 2.64090e8i 0.624527 + 1.08171i
\(626\) 3.42693e8 + 5.93562e8i 1.39696 + 2.41960i
\(627\) −1.13251e8 + 1.96157e8i −0.459452 + 0.795795i
\(628\) −3.30877e6 1.91032e6i −0.0133594 0.00771305i
\(629\) 5.31832e8i 2.13709i
\(630\) −1.85220e8 1.06937e8i −0.740739 0.427666i
\(631\) −3.45368e8 1.99398e8i −1.37466 0.793659i −0.383147 0.923687i \(-0.625160\pi\)
−0.991510 + 0.130029i \(0.958493\pi\)
\(632\) 8.97641e6 + 5.18253e6i 0.0355591 + 0.0205301i
\(633\) −1.06851e8 1.85071e8i −0.421275 0.729670i
\(634\) 3.04236e8i 1.19383i
\(635\) −3.23937e8 + 1.87025e8i −1.26514 + 0.730429i
\(636\) 5.21767e7 + 3.01243e7i 0.202818 + 0.117097i
\(637\) 7.97155e7 0.308407
\(638\) −1.19164e8 + 2.06398e8i −0.458862 + 0.794773i
\(639\) 1.90541e8 1.10009e8i 0.730276 0.421625i
\(640\) 1.50224e8 + 2.60196e8i 0.573059 + 0.992567i
\(641\) 6.70622e7i 0.254627i −0.991863 0.127313i \(-0.959365\pi\)
0.991863 0.127313i \(-0.0406354\pi\)
\(642\) −9.36423e7 1.62193e8i −0.353889 0.612954i
\(643\) −1.90178e7 −0.0715365 −0.0357682 0.999360i \(-0.511388\pi\)
−0.0357682 + 0.999360i \(0.511388\pi\)
\(644\) 1.37164e8i 0.513551i
\(645\) 6.09167e7 1.91161e8i 0.227016 0.712393i
\(646\) −6.46280e8 −2.39730
\(647\) 2.39490e8i 0.884249i 0.896954 + 0.442125i \(0.145775\pi\)
−0.896954 + 0.442125i \(0.854225\pi\)
\(648\) −388138. + 224092.i −0.00142647 + 0.000823571i
\(649\) 4.46984e8 1.63515
\(650\) −1.18651e8 + 6.85033e7i −0.432048 + 0.249443i
\(651\) −3.89619e7 6.74840e7i −0.141220 0.244601i
\(652\) −9.67091e7 5.58350e7i −0.348919 0.201448i
\(653\) 1.74522e7i 0.0626775i 0.999509 + 0.0313388i \(0.00997707\pi\)
−0.999509 + 0.0313388i \(0.990023\pi\)
\(654\) −1.76341e8 + 3.05431e8i −0.630404 + 1.09189i
\(655\) 3.69279e7 + 6.39611e7i 0.131411 + 0.227610i
\(656\) 2.07284e8 0.734269
\(657\) 2.29152e8 1.32301e8i 0.808030 0.466517i
\(658\) 8.79315e7 1.52302e8i 0.308650 0.534598i
\(659\) −2.20170e8 + 3.81345e8i −0.769310 + 1.33248i 0.168628 + 0.985680i \(0.446066\pi\)
−0.937938 + 0.346804i \(0.887267\pi\)
\(660\) −1.95577e8 + 3.38749e8i −0.680276 + 1.17827i
\(661\) 2.61688e8 0.906107 0.453053 0.891483i \(-0.350335\pi\)
0.453053 + 0.891483i \(0.350335\pi\)
\(662\) −1.41827e7 + 2.45651e7i −0.0488860 + 0.0846731i
\(663\) 1.56877e8 + 9.05731e7i 0.538293 + 0.310784i
\(664\) −8.57359e7 + 4.94996e7i −0.292859 + 0.169082i
\(665\) −2.50475e8 + 1.44612e8i −0.851725 + 0.491744i
\(666\) −4.12639e8 −1.39684
\(667\) 6.74745e7i 0.227385i
\(668\) −3.64286e8 6.30961e8i −1.22212 2.11677i
\(669\) 8.50331e7 + 1.47282e8i 0.283994 + 0.491892i
\(670\) 1.78978e8 3.09999e8i 0.595080 1.03071i
\(671\) −2.29169e8 1.32311e8i −0.758557 0.437953i
\(672\) 1.90355e8i 0.627272i
\(673\) −3.66228e8 2.11442e8i −1.20145 0.693658i −0.240573 0.970631i \(-0.577335\pi\)
−0.960878 + 0.276973i \(0.910669\pi\)
\(674\) −7.88753e8 4.55387e8i −2.57609 1.48731i
\(675\) 1.24855e8 + 7.20850e7i 0.405970 + 0.234387i
\(676\) −1.05463e8 1.82668e8i −0.341398 0.591319i
\(677\) 1.35947e8i 0.438129i −0.975710 0.219065i \(-0.929699\pi\)
0.975710 0.219065i \(-0.0703005\pi\)
\(678\) 1.78402e8 1.03001e8i 0.572416 0.330485i
\(679\) 1.33805e7 + 7.72525e6i 0.0427429 + 0.0246776i
\(680\) −2.75308e8 −0.875571
\(681\) 1.34950e8 2.33740e8i 0.427298 0.740102i
\(682\) 3.52334e8 2.03420e8i 1.11071 0.641270i
\(683\) 9.14614e7 + 1.58416e8i 0.287062 + 0.497206i 0.973107 0.230353i \(-0.0739880\pi\)
−0.686045 + 0.727559i \(0.740655\pi\)
\(684\) 2.85992e8i 0.893686i
\(685\) 1.59424e8 + 2.76131e8i 0.496002 + 0.859100i
\(686\) 5.30451e8 1.64313
\(687\) 5.01123e6i 0.0154552i
\(688\) −1.79863e8 + 3.92975e7i −0.552302 + 0.120670i
\(689\) 6.51922e7 0.199314
\(690\) 1.94167e8i 0.591055i
\(691\) −1.50564e8 + 8.69280e7i −0.456338 + 0.263467i −0.710503 0.703694i \(-0.751533\pi\)
0.254165 + 0.967161i \(0.418199\pi\)
\(692\) 4.50654e7 0.135996
\(693\) −1.82748e8 + 1.05510e8i −0.549102 + 0.317024i
\(694\) −4.65933e8 8.07020e8i −1.39394 2.41438i
\(695\) 5.04229e8 + 2.91117e8i 1.50201 + 0.867188i
\(696\) 4.55908e7i 0.135223i
\(697\) −3.17967e8 + 5.50735e8i −0.939040 + 1.62646i
\(698\) 7.93168e7 + 1.37381e8i 0.233238 + 0.403980i
\(699\) 3.13040e8 0.916575
\(700\) −1.38149e8 + 7.97606e7i −0.402768 + 0.232538i
\(701\) 2.29131e8 3.96866e8i 0.665164 1.15210i −0.314076 0.949398i \(-0.601695\pi\)
0.979241 0.202701i \(-0.0649718\pi\)
\(702\) 1.83709e8 3.18194e8i 0.531030 0.919772i
\(703\) −2.79009e8 + 4.83257e8i −0.803067 + 1.39095i
\(704\) 7.23449e8 2.07343
\(705\) −7.09931e7 + 1.22964e8i −0.202604 + 0.350921i
\(706\) 2.02904e8 + 1.17147e8i 0.576604 + 0.332902i
\(707\) −9.12551e7 + 5.26861e7i −0.258225 + 0.149086i
\(708\) −3.00194e8 + 1.73317e8i −0.845868 + 0.488362i
\(709\) −3.39431e8 −0.952385 −0.476193 0.879341i \(-0.657984\pi\)
−0.476193 + 0.879341i \(0.657984\pi\)
\(710\) 9.00892e8i 2.51708i
\(711\) −9.15092e6 1.58499e7i −0.0254599 0.0440978i
\(712\) −1.00358e8 1.73825e8i −0.278043 0.481585i
\(713\) 5.75917e7 9.97517e7i 0.158888 0.275202i
\(714\) 3.20258e8 + 1.84901e8i 0.879843 + 0.507977i
\(715\) 4.23250e8i 1.15792i
\(716\) 5.59346e8 + 3.22938e8i 1.52385 + 0.879793i
\(717\) 7.41947e7 + 4.28364e7i 0.201287 + 0.116213i
\(718\) 1.70832e8 + 9.86301e7i 0.461526 + 0.266462i
\(719\) −1.62600e8 2.81632e8i −0.437456 0.757696i 0.560036 0.828468i \(-0.310787\pi\)
−0.997493 + 0.0707718i \(0.977454\pi\)
\(720\) 1.58451e8i 0.424520i
\(721\) 3.73970e8 2.15912e8i 0.997770 0.576063i
\(722\) 8.99931e7 + 5.19575e7i 0.239110 + 0.138050i
\(723\) 3.89964e8 1.03183
\(724\) 4.46579e8 7.73498e8i 1.17675 2.03818i
\(725\) 6.79592e7 3.92363e7i 0.178334 0.102961i
\(726\) 1.58284e8 + 2.74157e8i 0.413645 + 0.716455i
\(727\) 1.19403e8i 0.310750i −0.987856 0.155375i \(-0.950341\pi\)
0.987856 0.155375i \(-0.0496586\pi\)
\(728\) 5.01416e7 + 8.68478e7i 0.129958 + 0.225094i
\(729\) −2.37941e8 −0.614168
\(730\) 1.08345e9i 2.78509i
\(731\) 1.71494e8 5.38161e8i 0.439033 1.37772i
\(732\) 2.05213e8 0.523204
\(733\) 2.15521e8i 0.547240i 0.961838 + 0.273620i \(0.0882211\pi\)
−0.961838 + 0.273620i \(0.911779\pi\)
\(734\) 3.87533e8 2.23742e8i 0.979988 0.565796i
\(735\) −1.31388e8 −0.330897
\(736\) 2.43677e8 1.40687e8i 0.611196 0.352874i
\(737\) −1.76590e8 3.05863e8i −0.441127 0.764054i
\(738\) 4.27305e8 + 2.46705e8i 1.06309 + 0.613774i
\(739\) 1.48063e8i 0.366871i 0.983032 + 0.183435i \(0.0587218\pi\)
−0.983032 + 0.183435i \(0.941278\pi\)
\(740\) −4.81827e8 + 8.34549e8i −1.18904 + 2.05948i
\(741\) −9.50325e7 1.64601e8i −0.233570 0.404556i
\(742\) 1.33087e8 0.325780
\(743\) −4.89963e8 + 2.82880e8i −1.19453 + 0.689662i −0.959331 0.282285i \(-0.908908\pi\)
−0.235199 + 0.971947i \(0.575574\pi\)
\(744\) −3.89133e7 + 6.73997e7i −0.0944885 + 0.163659i
\(745\) −2.98587e8 + 5.17169e8i −0.722109 + 1.25073i
\(746\) −9.47349e6 + 1.64086e7i −0.0228188 + 0.0395234i
\(747\) 1.74805e8 0.419366
\(748\) −5.50593e8 + 9.53655e8i −1.31561 + 2.27870i
\(749\) −2.04343e8 1.17977e8i −0.486311 0.280772i
\(750\) −2.21189e8 + 1.27703e8i −0.524299 + 0.302704i
\(751\) 2.13089e8 1.23027e8i 0.503084 0.290456i −0.226902 0.973918i \(-0.572860\pi\)
0.729986 + 0.683462i \(0.239526\pi\)
\(752\) 1.30291e8 0.306380
\(753\) 3.77486e8i 0.884130i
\(754\) −9.99938e7 1.73194e8i −0.233270 0.404036i
\(755\) −3.82034e8 6.61703e8i −0.887690 1.53752i
\(756\) 2.13899e8 3.70483e8i 0.495043 0.857439i
\(757\) −4.49703e8 2.59636e8i −1.03666 0.598518i −0.117777 0.993040i \(-0.537577\pi\)
−0.918886 + 0.394522i \(0.870910\pi\)
\(758\) 3.51042e8i 0.806030i
\(759\) 1.65910e8 + 9.57881e7i 0.379443 + 0.219072i
\(760\) 2.50162e8 + 1.44431e8i 0.569877 + 0.329019i
\(761\) 1.22254e8 + 7.05834e7i 0.277402 + 0.160158i 0.632247 0.774767i \(-0.282133\pi\)
−0.354845 + 0.934925i \(0.615466\pi\)
\(762\) −2.50904e8 4.34578e8i −0.567078 0.982208i
\(763\) 4.44334e8i 1.00031i
\(764\) −4.23885e8 + 2.44730e8i −0.950535 + 0.548792i