Properties

Label 43.7.d.a.37.9
Level 43
Weight 7
Character 43.37
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 37.9
Character \(\chi\) \(=\) 43.37
Dual form 43.7.d.a.7.13

$q$-expansion

\(f(q)\) \(=\) \(q-2.61500i q^{2} +(-35.7187 - 20.6222i) q^{3} +57.1618 q^{4} +(121.716 + 70.2726i) q^{5} +(-53.9270 + 93.4043i) q^{6} +(140.639 - 81.1978i) q^{7} -316.838i q^{8} +(486.049 + 841.861i) q^{9} +O(q^{10})\) \(q-2.61500i q^{2} +(-35.7187 - 20.6222i) q^{3} +57.1618 q^{4} +(121.716 + 70.2726i) q^{5} +(-53.9270 + 93.4043i) q^{6} +(140.639 - 81.1978i) q^{7} -316.838i q^{8} +(486.049 + 841.861i) q^{9} +(183.763 - 318.286i) q^{10} +633.170 q^{11} +(-2041.74 - 1178.80i) q^{12} +(-2029.45 - 3515.10i) q^{13} +(-212.332 - 367.770i) q^{14} +(-2898.35 - 5020.09i) q^{15} +2829.82 q^{16} +(-1526.45 - 2643.88i) q^{17} +(2201.47 - 1271.02i) q^{18} +(1715.01 + 990.163i) q^{19} +(6957.49 + 4016.91i) q^{20} -6697.91 q^{21} -1655.74i q^{22} +(2766.29 - 4791.36i) q^{23} +(-6533.89 + 11317.0i) q^{24} +(2063.98 + 3574.91i) q^{25} +(-9191.99 + 5307.00i) q^{26} -10026.4i q^{27} +(8039.16 - 4641.41i) q^{28} +(19161.8 - 11063.0i) q^{29} +(-13127.5 + 7579.18i) q^{30} +(445.023 - 770.802i) q^{31} -27677.6i q^{32} +(-22616.0 - 13057.4i) q^{33} +(-6913.75 + 3991.66i) q^{34} +22823.9 q^{35} +(27783.4 + 48122.3i) q^{36} +(-32934.5 - 19014.7i) q^{37} +(2589.27 - 4484.75i) q^{38} +167406. i q^{39} +(22265.0 - 38564.2i) q^{40} -53188.1 q^{41} +17515.0i q^{42} +(79357.0 + 4881.64i) q^{43} +36193.2 q^{44} +136624. i q^{45} +(-12529.4 - 7233.86i) q^{46} +144957. q^{47} +(-101078. - 58357.1i) q^{48} +(-45638.3 + 79047.9i) q^{49} +(9348.39 - 5397.29i) q^{50} +125915. i q^{51} +(-116007. - 200930. i) q^{52} +(12646.2 - 21903.9i) q^{53} -26219.0 q^{54} +(77066.8 + 44494.5i) q^{55} +(-25726.6 - 44559.7i) q^{56} +(-40838.6 - 70734.6i) q^{57} +(-28929.9 - 50108.0i) q^{58} -168198. q^{59} +(-165675. - 286957. i) q^{60} +(278864. - 161002. i) q^{61} +(-2015.65 - 1163.73i) q^{62} +(136715. + 78932.2i) q^{63} +108732. q^{64} -570458. i q^{65} +(-34145.0 + 59140.8i) q^{66} +(-220086. + 381199. i) q^{67} +(-87254.4 - 151129. i) q^{68} +(-197617. + 114094. i) q^{69} -59684.5i q^{70} +(435989. - 251718. i) q^{71} +(266734. - 153999. i) q^{72} +(-579548. + 334602. i) q^{73} +(-49723.5 + 86123.7i) q^{74} -170255. i q^{75} +(98033.1 + 56599.5i) q^{76} +(89048.3 - 51412.1i) q^{77} +437768. q^{78} +(484554. + 839272. i) q^{79} +(344434. + 198859. i) q^{80} +(147563. - 255587. i) q^{81} +139087. i q^{82} +(-227845. + 394640. i) q^{83} -382864. q^{84} -429069. i q^{85} +(12765.5 - 207518. i) q^{86} -912577. q^{87} -200612. i q^{88} +(-833221. - 481060. i) q^{89} +357271. q^{90} +(-570837. - 329573. i) q^{91} +(158126. - 273883. i) q^{92} +(-31791.2 + 18354.7i) q^{93} -379063. i q^{94} +(139163. + 241037. i) q^{95} +(-570773. + 988607. i) q^{96} +554894. q^{97} +(206710. + 119344. i) q^{98} +(307752. + 533042. 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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.61500i 0.326875i −0.986554 0.163437i \(-0.947742\pi\)
0.986554 0.163437i \(-0.0522582\pi\)
\(3\) −35.7187 20.6222i −1.32291 0.763785i −0.338721 0.940887i \(-0.609994\pi\)
−0.984192 + 0.177102i \(0.943328\pi\)
\(4\) 57.1618 0.893153
\(5\) 121.716 + 70.2726i 0.973726 + 0.562181i 0.900370 0.435125i \(-0.143296\pi\)
0.0733556 + 0.997306i \(0.476629\pi\)
\(6\) −53.9270 + 93.4043i −0.249662 + 0.432427i
\(7\) 140.639 81.1978i 0.410026 0.236728i −0.280775 0.959774i \(-0.590592\pi\)
0.690801 + 0.723045i \(0.257258\pi\)
\(8\) 316.838i 0.618824i
\(9\) 486.049 + 841.861i 0.666734 + 1.15482i
\(10\) 183.763 318.286i 0.183763 0.318286i
\(11\) 633.170 0.475710 0.237855 0.971301i \(-0.423556\pi\)
0.237855 + 0.971301i \(0.423556\pi\)
\(12\) −2041.74 1178.80i −1.18156 0.682176i
\(13\) −2029.45 3515.10i −0.923735 1.59996i −0.793583 0.608462i \(-0.791787\pi\)
−0.130152 0.991494i \(-0.541546\pi\)
\(14\) −212.332 367.770i −0.0773806 0.134027i
\(15\) −2898.35 5020.09i −0.858770 1.48743i
\(16\) 2829.82 0.690875
\(17\) −1526.45 2643.88i −0.310695 0.538140i 0.667818 0.744325i \(-0.267229\pi\)
−0.978513 + 0.206185i \(0.933895\pi\)
\(18\) 2201.47 1271.02i 0.377481 0.217938i
\(19\) 1715.01 + 990.163i 0.250038 + 0.144360i 0.619782 0.784774i \(-0.287221\pi\)
−0.369744 + 0.929134i \(0.620554\pi\)
\(20\) 6957.49 + 4016.91i 0.869686 + 0.502113i
\(21\) −6697.91 −0.723238
\(22\) 1655.74i 0.155498i
\(23\) 2766.29 4791.36i 0.227360 0.393800i −0.729665 0.683805i \(-0.760324\pi\)
0.957025 + 0.290005i \(0.0936571\pi\)
\(24\) −6533.89 + 11317.0i −0.472648 + 0.818651i
\(25\) 2063.98 + 3574.91i 0.132094 + 0.228794i
\(26\) −9191.99 + 5307.00i −0.522985 + 0.301946i
\(27\) 10026.4i 0.509394i
\(28\) 8039.16 4641.41i 0.366215 0.211435i
\(29\) 19161.8 11063.0i 0.785672 0.453608i −0.0527646 0.998607i \(-0.516803\pi\)
0.838437 + 0.544999i \(0.183470\pi\)
\(30\) −13127.5 + 7579.18i −0.486205 + 0.280710i
\(31\) 445.023 770.802i 0.0149382 0.0258737i −0.858460 0.512881i \(-0.828578\pi\)
0.873398 + 0.487007i \(0.161912\pi\)
\(32\) 27677.6i 0.844654i
\(33\) −22616.0 13057.4i −0.629324 0.363340i
\(34\) −6913.75 + 3991.66i −0.175905 + 0.101559i
\(35\) 22823.9 0.532337
\(36\) 27783.4 + 48122.3i 0.595495 + 1.03143i
\(37\) −32934.5 19014.7i −0.650199 0.375392i 0.138334 0.990386i \(-0.455825\pi\)
−0.788532 + 0.614993i \(0.789159\pi\)
\(38\) 2589.27 4484.75i 0.0471875 0.0817312i
\(39\) 167406.i 2.82214i
\(40\) 22265.0 38564.2i 0.347891 0.602565i
\(41\) −53188.1 −0.771725 −0.385863 0.922556i \(-0.626096\pi\)
−0.385863 + 0.922556i \(0.626096\pi\)
\(42\) 17515.0i 0.236408i
\(43\) 79357.0 + 4881.64i 0.998113 + 0.0613989i
\(44\) 36193.2 0.424882
\(45\) 136624.i 1.49930i
\(46\) −12529.4 7233.86i −0.128723 0.0743184i
\(47\) 144957. 1.39619 0.698097 0.716003i \(-0.254030\pi\)
0.698097 + 0.716003i \(0.254030\pi\)
\(48\) −101078. 58357.1i −0.913968 0.527679i
\(49\) −45638.3 + 79047.9i −0.387919 + 0.671896i
\(50\) 9348.39 5397.29i 0.0747871 0.0431783i
\(51\) 125915.i 0.949217i
\(52\) −116007. 200930.i −0.825036 1.42901i
\(53\) 12646.2 21903.9i 0.0849441 0.147128i −0.820423 0.571757i \(-0.806262\pi\)
0.905367 + 0.424629i \(0.139595\pi\)
\(54\) −26219.0 −0.166508
\(55\) 77066.8 + 44494.5i 0.463211 + 0.267435i
\(56\) −25726.6 44559.7i −0.146493 0.253734i
\(57\) −40838.6 70734.6i −0.220519 0.381951i
\(58\) −28929.9 50108.0i −0.148273 0.256816i
\(59\) −168198. −0.818964 −0.409482 0.912318i \(-0.634291\pi\)
−0.409482 + 0.912318i \(0.634291\pi\)
\(60\) −165675. 286957.i −0.767013 1.32851i
\(61\) 278864. 161002.i 1.22858 0.709320i 0.261846 0.965110i \(-0.415669\pi\)
0.966732 + 0.255790i \(0.0823355\pi\)
\(62\) −2015.65 1163.73i −0.00845745 0.00488291i
\(63\) 136715. + 78932.2i 0.546756 + 0.315670i
\(64\) 108732. 0.414779
\(65\) 570458.i 2.07722i
\(66\) −34145.0 + 59140.8i −0.118767 + 0.205710i
\(67\) −220086. + 381199.i −0.731757 + 1.26744i 0.224374 + 0.974503i \(0.427966\pi\)
−0.956131 + 0.292938i \(0.905367\pi\)
\(68\) −87254.4 151129.i −0.277498 0.480641i
\(69\) −197617. + 114094.i −0.601556 + 0.347309i
\(70\) 59684.5i 0.174007i
\(71\) 435989. 251718.i 1.21815 0.703299i 0.253628 0.967302i \(-0.418376\pi\)
0.964522 + 0.264003i \(0.0850429\pi\)
\(72\) 266734. 153999.i 0.714628 0.412591i
\(73\) −579548. + 334602.i −1.48978 + 0.860122i −0.999932 0.0116885i \(-0.996279\pi\)
−0.489843 + 0.871810i \(0.662946\pi\)
\(74\) −49723.5 + 86123.7i −0.122706 + 0.212534i
\(75\) 170255.i 0.403567i
\(76\) 98033.1 + 56599.5i 0.223322 + 0.128935i
\(77\) 89048.3 51412.1i 0.195053 0.112614i
\(78\) 437768. 0.922486
\(79\) 484554. + 839272.i 0.982790 + 1.70224i 0.651372 + 0.758759i \(0.274194\pi\)
0.331419 + 0.943484i \(0.392473\pi\)
\(80\) 344434. + 198859.i 0.672722 + 0.388397i
\(81\) 147563. 255587.i 0.277666 0.480932i
\(82\) 139087.i 0.252258i
\(83\) −227845. + 394640.i −0.398480 + 0.690187i −0.993539 0.113495i \(-0.963795\pi\)
0.595059 + 0.803682i \(0.297129\pi\)
\(84\) −382864. −0.645962
\(85\) 429069.i 0.698668i
\(86\) 12765.5 207518.i 0.0200697 0.326258i
\(87\) −912577. −1.38584
\(88\) 200612.i 0.294381i
\(89\) −833221. 481060.i −1.18193 0.682385i −0.225466 0.974251i \(-0.572391\pi\)
−0.956459 + 0.291866i \(0.905724\pi\)
\(90\) 357271. 0.490083
\(91\) −570837. 329573.i −0.757510 0.437349i
\(92\) 158126. 273883.i 0.203068 0.351723i
\(93\) −31791.2 + 18354.7i −0.0395238 + 0.0228191i
\(94\) 379063.i 0.456381i
\(95\) 139163. + 241037.i 0.162312 + 0.281133i
\(96\) −570773. + 988607.i −0.645133 + 1.11740i
\(97\) 554894. 0.607988 0.303994 0.952674i \(-0.401680\pi\)
0.303994 + 0.952674i \(0.401680\pi\)
\(98\) 206710. + 119344.i 0.219626 + 0.126801i
\(99\) 307752. + 533042.i 0.317172 + 0.549358i
\(100\) 117981. + 204348.i 0.117981 + 0.204348i
\(101\) 910340. + 1.57675e6i 0.883567 + 1.53038i 0.847347 + 0.531039i \(0.178198\pi\)
0.0362195 + 0.999344i \(0.488468\pi\)
\(102\) 329267. 0.310275
\(103\) 291389. + 504701.i 0.266662 + 0.461873i 0.967998 0.250959i \(-0.0807458\pi\)
−0.701335 + 0.712831i \(0.747412\pi\)
\(104\) −1.11372e6 + 643005.i −0.990091 + 0.571629i
\(105\) −815240. 470679.i −0.704235 0.406590i
\(106\) −57278.7 33069.9i −0.0480923 0.0277661i
\(107\) 1.11880e6 0.913278 0.456639 0.889652i \(-0.349053\pi\)
0.456639 + 0.889652i \(0.349053\pi\)
\(108\) 573127.i 0.454967i
\(109\) −671982. + 1.16391e6i −0.518893 + 0.898750i 0.480866 + 0.876794i \(0.340323\pi\)
−0.999759 + 0.0219554i \(0.993011\pi\)
\(110\) 116353. 201530.i 0.0874178 0.151412i
\(111\) 784251. + 1.35836e6i 0.573438 + 0.993223i
\(112\) 397983. 229775.i 0.283276 0.163550i
\(113\) 1.24946e6i 0.865938i 0.901409 + 0.432969i \(0.142534\pi\)
−0.901409 + 0.432969i \(0.857466\pi\)
\(114\) −184971. + 106793.i −0.124850 + 0.0720822i
\(115\) 673403. 388789.i 0.442773 0.255635i
\(116\) 1.09532e6 632383.i 0.701725 0.405141i
\(117\) 1.97282e6 3.41702e6i 1.23177 2.13349i
\(118\) 439838.i 0.267699i
\(119\) −429355. 247888.i −0.254786 0.147101i
\(120\) −1.59055e6 + 918307.i −0.920459 + 0.531428i
\(121\) −1.37066e6 −0.773700
\(122\) −421020. 729229.i −0.231859 0.401591i
\(123\) 1.89981e6 + 1.09685e6i 1.02093 + 0.589432i
\(124\) 25438.3 44060.4i 0.0133421 0.0231091i
\(125\) 1.61585e6i 0.827318i
\(126\) 206408. 357509.i 0.103184 0.178721i
\(127\) −495247. −0.241775 −0.120887 0.992666i \(-0.538574\pi\)
−0.120887 + 0.992666i \(0.538574\pi\)
\(128\) 2.05570e6i 0.980234i
\(129\) −2.73386e6 1.81088e6i −1.27352 0.843569i
\(130\) −1.49175e6 −0.678992
\(131\) 1.05164e6i 0.467793i −0.972262 0.233896i \(-0.924852\pi\)
0.972262 0.233896i \(-0.0751476\pi\)
\(132\) −1.29277e6 746382.i −0.562082 0.324518i
\(133\) 321596. 0.136696
\(134\) 996836. + 575524.i 0.414295 + 0.239193i
\(135\) 704582. 1.22037e6i 0.286372 0.496010i
\(136\) −837682. + 483636.i −0.333014 + 0.192266i
\(137\) 391589.i 0.152289i −0.997097 0.0761445i \(-0.975739\pi\)
0.997097 0.0761445i \(-0.0242610\pi\)
\(138\) 298356. + 516767.i 0.113527 + 0.196634i
\(139\) −1.92910e6 + 3.34130e6i −0.718308 + 1.24415i 0.243362 + 0.969935i \(0.421750\pi\)
−0.961670 + 0.274210i \(0.911584\pi\)
\(140\) 1.30466e6 0.475458
\(141\) −5.17768e6 2.98933e6i −1.84705 1.06639i
\(142\) −658243. 1.14011e6i −0.229891 0.398182i
\(143\) −1.28499e6 2.22566e6i −0.439430 0.761116i
\(144\) 1.37543e6 + 2.38232e6i 0.460629 + 0.797834i
\(145\) 3.10972e6 1.02004
\(146\) 874984. + 1.51552e6i 0.281152 + 0.486970i
\(147\) 3.26028e6 1.88232e6i 1.02637 0.592574i
\(148\) −1.88260e6 1.08692e6i −0.580727 0.335283i
\(149\) 4.38285e6 + 2.53044e6i 1.32495 + 0.764958i 0.984513 0.175311i \(-0.0560931\pi\)
0.340433 + 0.940269i \(0.389426\pi\)
\(150\) −445216. −0.131916
\(151\) 1.79902e6i 0.522524i −0.965268 0.261262i \(-0.915861\pi\)
0.965268 0.261262i \(-0.0841387\pi\)
\(152\) 313721. 543381.i 0.0893332 0.154730i
\(153\) 1.48386e6 2.57011e6i 0.414302 0.717592i
\(154\) −134443. 232861.i −0.0368107 0.0637581i
\(155\) 108333. 62545.8i 0.0290913 0.0167959i
\(156\) 9.56925e6i 2.52060i
\(157\) −725892. + 419094.i −0.187574 + 0.108296i −0.590846 0.806784i \(-0.701206\pi\)
0.403272 + 0.915080i \(0.367873\pi\)
\(158\) 2.19470e6 1.26711e6i 0.556420 0.321249i
\(159\) −903413. + 521586.i −0.224748 + 0.129758i
\(160\) 1.94498e6 3.36880e6i 0.474848 0.822461i
\(161\) 898468.i 0.215291i
\(162\) −668360. 385878.i −0.157205 0.0907621i
\(163\) −5.98386e6 + 3.45478e6i −1.38172 + 0.797734i −0.992363 0.123355i \(-0.960635\pi\)
−0.389353 + 0.921089i \(0.627301\pi\)
\(164\) −3.04032e6 −0.689268
\(165\) −1.83515e6 3.17857e6i −0.408526 0.707587i
\(166\) 1.03198e6 + 595816.i 0.225605 + 0.130253i
\(167\) 2.89100e6 5.00735e6i 0.620723 1.07512i −0.368628 0.929577i \(-0.620172\pi\)
0.989351 0.145547i \(-0.0464944\pi\)
\(168\) 2.12215e6i 0.447557i
\(169\) −5.82389e6 + 1.00873e7i −1.20657 + 2.08984i
\(170\) −1.12202e6 −0.228377
\(171\) 1.92507e6i 0.384998i
\(172\) 4.53619e6 + 279043.i 0.891468 + 0.0548386i
\(173\) 8.14660e6 1.57340 0.786698 0.617338i \(-0.211789\pi\)
0.786698 + 0.617338i \(0.211789\pi\)
\(174\) 2.38639e6i 0.452995i
\(175\) 580550. + 335181.i 0.108324 + 0.0625410i
\(176\) 1.79176e6 0.328656
\(177\) 6.00781e6 + 3.46861e6i 1.08342 + 0.625512i
\(178\) −1.25797e6 + 2.17887e6i −0.223055 + 0.386342i
\(179\) 7.57773e6 4.37500e6i 1.32123 0.762815i 0.337309 0.941394i \(-0.390483\pi\)
0.983926 + 0.178579i \(0.0571499\pi\)
\(180\) 7.80965e6i 1.33910i
\(181\) −1.36423e6 2.36292e6i −0.230066 0.398487i 0.727761 0.685831i \(-0.240561\pi\)
−0.957827 + 0.287344i \(0.907228\pi\)
\(182\) −861833. + 1.49274e6i −0.142958 + 0.247611i
\(183\) −1.32809e7 −2.16707
\(184\) −1.51809e6 876467.i −0.243693 0.140696i
\(185\) −2.67243e6 4.62879e6i −0.422077 0.731058i
\(186\) 47997.5 + 83134.0i 0.00745898 + 0.0129193i
\(187\) −966501. 1.67403e6i −0.147801 0.255999i
\(188\) 8.28601e6 1.24702
\(189\) −814123. 1.41010e6i −0.120588 0.208865i
\(190\) 630311. 363910.i 0.0918954 0.0530558i
\(191\) −1.02803e7 5.93534e6i −1.47539 0.851816i −0.475773 0.879568i \(-0.657832\pi\)
−0.999615 + 0.0277525i \(0.991165\pi\)
\(192\) −3.88375e6 2.24229e6i −0.548716 0.316802i
\(193\) 5.91397e6 0.822634 0.411317 0.911492i \(-0.365069\pi\)
0.411317 + 0.911492i \(0.365069\pi\)
\(194\) 1.45105e6i 0.198736i
\(195\) −1.17641e7 + 2.03760e7i −1.58655 + 2.74799i
\(196\) −2.60877e6 + 4.51852e6i −0.346471 + 0.600106i
\(197\) 505414. + 875402.i 0.0661071 + 0.114501i 0.897185 0.441656i \(-0.145609\pi\)
−0.831077 + 0.556157i \(0.812275\pi\)
\(198\) 1.39390e6 804771.i 0.179571 0.103676i
\(199\) 2.76185e6i 0.350462i −0.984527 0.175231i \(-0.943933\pi\)
0.984527 0.175231i \(-0.0560672\pi\)
\(200\) 1.13267e6 653946.i 0.141583 0.0817432i
\(201\) 1.57223e7 9.07729e6i 1.93610 1.11781i
\(202\) 4.12321e6 2.38054e6i 0.500244 0.288816i
\(203\) 1.79659e6 3.11179e6i 0.214764 0.371982i
\(204\) 7.19751e6i 0.847796i
\(205\) −6.47382e6 3.73766e6i −0.751448 0.433849i
\(206\) 1.31979e6 761982.i 0.150975 0.0871652i
\(207\) 5.37822e6 0.606355
\(208\) −5.74297e6 9.94712e6i −0.638185 1.10537i
\(209\) 1.08589e6 + 626942.i 0.118946 + 0.0686734i
\(210\) −1.23083e6 + 2.13185e6i −0.132904 + 0.230197i
\(211\) 733739.i 0.0781077i 0.999237 + 0.0390539i \(0.0124344\pi\)
−0.999237 + 0.0390539i \(0.987566\pi\)
\(212\) 722881. 1.25207e6i 0.0758681 0.131407i
\(213\) −2.07639e7 −2.14868
\(214\) 2.92567e6i 0.298528i
\(215\) 9.31595e6 + 6.17079e6i 0.937371 + 0.620906i
\(216\) −3.17675e6 −0.315225
\(217\) 144540.i 0.0141451i
\(218\) 3.04362e6 + 1.75723e6i 0.293779 + 0.169613i
\(219\) 2.76009e7 2.62779
\(220\) 4.40528e6 + 2.54339e6i 0.413719 + 0.238861i
\(221\) −6.19568e6 + 1.07312e7i −0.574000 + 0.994198i
\(222\) 3.55212e6 2.05082e6i 0.324660 0.187442i
\(223\) 699707.i 0.0630959i −0.999502 0.0315480i \(-0.989956\pi\)
0.999502 0.0315480i \(-0.0100437\pi\)
\(224\) −2.24736e6 3.89255e6i −0.199953 0.346330i
\(225\) −2.00639e6 + 3.47516e6i −0.176144 + 0.305090i
\(226\) 3.26733e6 0.283053
\(227\) −7.47188e6 4.31389e6i −0.638782 0.368801i 0.145363 0.989378i \(-0.453565\pi\)
−0.784145 + 0.620578i \(0.786898\pi\)
\(228\) −2.33441e6 4.04331e6i −0.196957 0.341140i
\(229\) −5.72252e6 9.91170e6i −0.476520 0.825356i 0.523118 0.852260i \(-0.324769\pi\)
−0.999638 + 0.0269037i \(0.991435\pi\)
\(230\) −1.01668e6 1.76095e6i −0.0835608 0.144731i
\(231\) −4.24092e6 −0.344052
\(232\) −3.50519e6 6.07117e6i −0.280704 0.486193i
\(233\) 3.09628e6 1.78764e6i 0.244778 0.141323i −0.372593 0.927995i \(-0.621531\pi\)
0.617371 + 0.786672i \(0.288198\pi\)
\(234\) −8.93551e6 5.15892e6i −0.697384 0.402635i
\(235\) 1.76436e7 + 1.01865e7i 1.35951 + 0.784914i
\(236\) −9.61450e6 −0.731460
\(237\) 3.99702e7i 3.00256i
\(238\) −648228. + 1.12276e6i −0.0480836 + 0.0832832i
\(239\) −1.27997e6 + 2.21698e6i −0.0937576 + 0.162393i −0.909089 0.416601i \(-0.863221\pi\)
0.815332 + 0.578994i \(0.196555\pi\)
\(240\) −8.20181e6 1.42060e7i −0.593303 1.02763i
\(241\) −4.42431e6 + 2.55438e6i −0.316078 + 0.182488i −0.649643 0.760239i \(-0.725082\pi\)
0.333565 + 0.942727i \(0.391748\pi\)
\(242\) 3.58426e6i 0.252903i
\(243\) −1.68715e7 + 9.74078e6i −1.17581 + 0.678851i
\(244\) 1.59404e7 9.20317e6i 1.09731 0.633531i
\(245\) −1.11098e7 + 6.41425e6i −0.755454 + 0.436162i
\(246\) 2.86827e6 4.96799e6i 0.192670 0.333715i
\(247\) 8.03792e6i 0.533400i
\(248\) −244219. 141000.i −0.0160112 0.00924409i
\(249\) 1.62767e7 9.39734e6i 1.05431 0.608705i
\(250\) −4.22546e6 −0.270429
\(251\) 3.46205e6 + 5.99645e6i 0.218934 + 0.379204i 0.954482 0.298268i \(-0.0964088\pi\)
−0.735549 + 0.677472i \(0.763076\pi\)
\(252\) 7.81485e6 + 4.51191e6i 0.488336 + 0.281941i
\(253\) 1.75154e6 3.03375e6i 0.108158 0.187335i
\(254\) 1.29507e6i 0.0790300i
\(255\) −8.84835e6 + 1.53258e7i −0.533632 + 0.924277i
\(256\) 1.58318e6 0.0943647
\(257\) 1.46021e7i 0.860232i 0.902774 + 0.430116i \(0.141527\pi\)
−0.902774 + 0.430116i \(0.858473\pi\)
\(258\) −4.73545e6 + 7.14903e6i −0.275741 + 0.416282i
\(259\) −6.17582e6 −0.355464
\(260\) 3.26084e7i 1.85528i
\(261\) 1.86271e7 + 1.07544e7i 1.04767 + 0.604871i
\(262\) −2.75004e6 −0.152910
\(263\) 8.83321e6 + 5.09985e6i 0.485569 + 0.280344i 0.722734 0.691126i \(-0.242885\pi\)
−0.237165 + 0.971469i \(0.576218\pi\)
\(264\) −4.13707e6 + 7.16561e6i −0.224844 + 0.389441i
\(265\) 3.07849e6 1.77737e6i 0.165425 0.0955079i
\(266\) 840974.i 0.0446825i
\(267\) 1.98410e7 + 3.43657e7i 1.04239 + 1.80547i
\(268\) −1.25805e7 + 2.17900e7i −0.653571 + 1.13202i
\(269\) −9.22613e6 −0.473983 −0.236991 0.971512i \(-0.576161\pi\)
−0.236991 + 0.971512i \(0.576161\pi\)
\(270\) −3.19127e6 1.84248e6i −0.162133 0.0936077i
\(271\) 1.39331e7 + 2.41328e7i 0.700066 + 1.21255i 0.968443 + 0.249237i \(0.0801796\pi\)
−0.268376 + 0.963314i \(0.586487\pi\)
\(272\) −4.31957e6 7.48172e6i −0.214652 0.371788i
\(273\) 1.35930e7 + 2.35438e7i 0.668080 + 1.15715i
\(274\) −1.02400e6 −0.0497794
\(275\) 1.30685e6 + 2.26353e6i 0.0628387 + 0.108840i
\(276\) −1.12961e7 + 6.52182e6i −0.537282 + 0.310200i
\(277\) 1.61546e7 + 9.32684e6i 0.760074 + 0.438829i 0.829322 0.558771i \(-0.188727\pi\)
−0.0692485 + 0.997599i \(0.522060\pi\)
\(278\) 8.73750e6 + 5.04460e6i 0.406680 + 0.234797i
\(279\) 865211. 0.0398391
\(280\) 7.23149e6i 0.329423i
\(281\) −1.52395e7 + 2.63956e7i −0.686833 + 1.18963i 0.286023 + 0.958223i \(0.407666\pi\)
−0.972857 + 0.231408i \(0.925667\pi\)
\(282\) −7.81710e6 + 1.35396e7i −0.348577 + 0.603753i
\(283\) 880462. + 1.52500e6i 0.0388464 + 0.0672840i 0.884795 0.465981i \(-0.154298\pi\)
−0.845949 + 0.533265i \(0.820965\pi\)
\(284\) 2.49219e7 1.43887e7i 1.08799 0.628153i
\(285\) 1.14793e7i 0.495887i
\(286\) −5.82010e6 + 3.36023e6i −0.248790 + 0.143639i
\(287\) −7.48030e6 + 4.31875e6i −0.316427 + 0.182689i
\(288\) 2.33007e7 1.34527e7i 0.975420 0.563159i
\(289\) 7.40871e6 1.28323e7i 0.306937 0.531630i
\(290\) 8.13190e6i 0.333425i
\(291\) −1.98201e7 1.14431e7i −0.804316 0.464372i
\(292\) −3.31280e7 + 1.91265e7i −1.33060 + 0.768220i
\(293\) −2.24591e7 −0.892872 −0.446436 0.894816i \(-0.647307\pi\)
−0.446436 + 0.894816i \(0.647307\pi\)
\(294\) −4.92227e6 8.52563e6i −0.193697 0.335494i
\(295\) −2.04723e7 1.18197e7i −0.797446 0.460406i
\(296\) −6.02459e6 + 1.04349e7i −0.232302 + 0.402359i
\(297\) 6.34843e6i 0.242324i
\(298\) 6.61710e6 1.14612e7i 0.250045 0.433091i
\(299\) −2.24562e7 −0.840083
\(300\) 9.73206e6i 0.360447i
\(301\) 1.15570e7 5.75707e6i 0.423787 0.211107i
\(302\) −4.70445e6 −0.170800
\(303\) 7.50928e7i 2.69942i
\(304\) 4.85318e6 + 2.80199e6i 0.172745 + 0.0997344i
\(305\) 4.52562e7 1.59506
\(306\) −6.72084e6 3.88028e6i −0.234563 0.135425i
\(307\) −2.10068e7 + 3.63848e7i −0.726013 + 1.25749i 0.232543 + 0.972586i \(0.425296\pi\)
−0.958556 + 0.284905i \(0.908038\pi\)
\(308\) 5.09016e6 2.93881e6i 0.174212 0.100582i
\(309\) 2.40363e7i 0.814690i
\(310\) −163557. 283289.i −0.00549015 0.00950923i
\(311\) −1.29850e7 + 2.24907e7i −0.431680 + 0.747691i −0.997018 0.0771678i \(-0.975412\pi\)
0.565338 + 0.824859i \(0.308746\pi\)
\(312\) 5.30407e7 1.74641
\(313\) −8.89847e6 5.13753e6i −0.290190 0.167541i 0.347838 0.937555i \(-0.386916\pi\)
−0.638027 + 0.770014i \(0.720249\pi\)
\(314\) 1.09593e6 + 1.89821e6i 0.0353993 + 0.0613133i
\(315\) 1.10935e7 + 1.92146e7i 0.354927 + 0.614751i
\(316\) 2.76980e7 + 4.79743e7i 0.877782 + 1.52036i
\(317\) −2.44920e7 −0.768859 −0.384429 0.923154i \(-0.625602\pi\)
−0.384429 + 0.923154i \(0.625602\pi\)
\(318\) 1.36395e6 + 2.36242e6i 0.0424146 + 0.0734643i
\(319\) 1.21327e7 7.00479e6i 0.373752 0.215786i
\(320\) 1.32344e7 + 7.64086e6i 0.403881 + 0.233181i
\(321\) −3.99622e7 2.30722e7i −1.20819 0.697548i
\(322\) −2.34949e6 −0.0703731
\(323\) 6.04572e6i 0.179407i
\(324\) 8.43497e6 1.46098e7i 0.247998 0.429546i
\(325\) 8.37745e6 1.45102e7i 0.244040 0.422690i
\(326\) 9.03426e6 + 1.56478e7i 0.260759 + 0.451648i
\(327\) 4.80046e7 2.77155e7i 1.37290 0.792646i
\(328\) 1.68520e7i 0.477562i
\(329\) 2.03866e7 1.17702e7i 0.572476 0.330519i
\(330\) −8.31196e6 + 4.79891e6i −0.231293 + 0.133537i
\(331\) −1.75029e7 + 1.01053e7i −0.482642 + 0.278654i −0.721517 0.692397i \(-0.756555\pi\)
0.238875 + 0.971050i \(0.423221\pi\)
\(332\) −1.30240e7 + 2.25583e7i −0.355903 + 0.616442i
\(333\) 3.69684e7i 1.00115i
\(334\) −1.30942e7 7.55995e6i −0.351431 0.202899i
\(335\) −5.35757e7 + 3.09320e7i −1.42506 + 0.822760i
\(336\) −1.89539e7 −0.499667
\(337\) 3.66489e6 + 6.34778e6i 0.0957572 + 0.165856i 0.909924 0.414774i \(-0.136139\pi\)
−0.814167 + 0.580631i \(0.802806\pi\)
\(338\) 2.63782e7 + 1.52295e7i 0.683118 + 0.394398i
\(339\) 2.57666e7 4.46290e7i 0.661390 1.14556i
\(340\) 2.45264e7i 0.624017i
\(341\) 281775. 488049.i 0.00710624 0.0123084i
\(342\) 5.03405e6 0.125846
\(343\) 3.39286e7i 0.840783i
\(344\) 1.54669e6 2.51433e7i 0.0379951 0.617657i
\(345\) −3.20707e7 −0.781001
\(346\) 2.13034e7i 0.514304i
\(347\) 4.89818e7 + 2.82796e7i 1.17232 + 0.676839i 0.954225 0.299089i \(-0.0966826\pi\)
0.218094 + 0.975928i \(0.430016\pi\)
\(348\) −5.21645e7 −1.23776
\(349\) 1.24077e7 + 7.16361e6i 0.291888 + 0.168522i 0.638793 0.769379i \(-0.279434\pi\)
−0.346905 + 0.937900i \(0.612767\pi\)
\(350\) 876497. 1.51814e6i 0.0204431 0.0354085i
\(351\) −3.52439e7 + 2.03481e7i −0.815008 + 0.470545i
\(352\) 1.75246e7i 0.401811i
\(353\) −2.45885e7 4.25885e7i −0.558995 0.968207i −0.997581 0.0695178i \(-0.977854\pi\)
0.438586 0.898689i \(-0.355479\pi\)
\(354\) 9.07041e6 1.57104e7i 0.204464 0.354142i
\(355\) 7.07556e7 1.58152
\(356\) −4.76284e7 2.74983e7i −1.05564 0.609474i
\(357\) 1.02240e7 + 1.77085e7i 0.224707 + 0.389203i
\(358\) −1.14406e7 1.98158e7i −0.249345 0.431878i
\(359\) 360559. + 624506.i 0.00779278 + 0.0134975i 0.869895 0.493236i \(-0.164186\pi\)
−0.862103 + 0.506734i \(0.830853\pi\)
\(360\) 4.32876e7 0.927803
\(361\) −2.15621e7 3.73466e7i −0.458321 0.793835i
\(362\) −6.17904e6 + 3.56747e6i −0.130255 + 0.0752029i
\(363\) 4.89580e7 + 2.82659e7i 1.02354 + 0.590940i
\(364\) −3.26301e7 1.88390e7i −0.676572 0.390619i
\(365\) −9.40534e7 −1.93418
\(366\) 3.47294e7i 0.708361i
\(367\) 9.56391e6 1.65652e7i 0.193481 0.335118i −0.752921 0.658111i \(-0.771356\pi\)
0.946401 + 0.322993i \(0.104689\pi\)
\(368\) 7.82812e6 1.35587e7i 0.157078 0.272066i
\(369\) −2.58520e7 4.47770e7i −0.514535 0.891201i
\(370\) −1.21043e7 + 6.98840e6i −0.238965 + 0.137966i
\(371\) 4.10739e6i 0.0804347i
\(372\) −1.81724e6 + 1.04919e6i −0.0353008 + 0.0203809i
\(373\) 6.19137e7 3.57459e7i 1.19305 0.688810i 0.234056 0.972223i \(-0.424800\pi\)
0.958998 + 0.283413i \(0.0914667\pi\)
\(374\) −4.37758e6 + 2.52740e6i −0.0836796 + 0.0483124i
\(375\) −3.33225e7 + 5.77162e7i −0.631893 + 1.09447i
\(376\) 4.59279e7i 0.863999i
\(377\) −7.77755e7 4.49037e7i −1.45151 0.838027i
\(378\) −3.68741e6 + 2.12893e6i −0.0682726 + 0.0394172i
\(379\) 8.59176e7 1.57821 0.789105 0.614259i \(-0.210545\pi\)
0.789105 + 0.614259i \(0.210545\pi\)
\(380\) 7.95478e6 + 1.37781e7i 0.144970 + 0.251095i
\(381\) 1.76896e7 + 1.02131e7i 0.319847 + 0.184664i
\(382\) −1.55209e7 + 2.68830e7i −0.278437 + 0.482267i
\(383\) 5.66752e7i 1.00878i −0.863476 0.504390i \(-0.831717\pi\)
0.863476 0.504390i \(-0.168283\pi\)
\(384\) −4.23930e7 + 7.34269e7i −0.748688 + 1.29677i
\(385\) 1.44514e7 0.253238
\(386\) 1.54650e7i 0.268899i
\(387\) 3.44617e7 + 6.91803e7i 0.594571 + 1.19357i
\(388\) 3.17187e7 0.543026
\(389\) 8.21732e7i 1.39599i 0.716104 + 0.697994i \(0.245924\pi\)
−0.716104 + 0.697994i \(0.754076\pi\)
\(390\) 5.32832e7 + 3.07631e7i 0.898248 + 0.518604i
\(391\) −1.68904e7 −0.282559
\(392\) 2.50454e7 + 1.44600e7i 0.415785 + 0.240054i
\(393\) −2.16871e7 + 3.75632e7i −0.357293 + 0.618849i
\(394\) 2.28918e6 1.32166e6i 0.0374275 0.0216088i
\(395\) 1.36203e8i 2.21002i
\(396\) 1.75916e7 + 3.04696e7i 0.283283 + 0.490661i
\(397\) 1.91954e7 3.32474e7i 0.306779 0.531356i −0.670877 0.741569i \(-0.734082\pi\)
0.977656 + 0.210212i \(0.0674155\pi\)
\(398\) −7.22224e6 −0.114557
\(399\) −1.14870e7 6.63202e6i −0.180837 0.104406i
\(400\) 5.84069e6 + 1.01164e7i 0.0912607 + 0.158068i
\(401\) −2.32963e7 4.03503e7i −0.361288 0.625769i 0.626885 0.779111i \(-0.284329\pi\)
−0.988173 + 0.153343i \(0.950996\pi\)
\(402\) −2.37371e7 4.11139e7i −0.365384 0.632864i
\(403\) −3.61260e6 −0.0551956
\(404\) 5.20366e7 + 9.01301e7i 0.789160 + 1.36687i
\(405\) 3.59215e7 2.07393e7i 0.540741 0.312197i
\(406\) −8.13732e6 4.69808e6i −0.121591 0.0702009i
\(407\) −2.08532e7 1.20396e7i −0.309306 0.178578i
\(408\) 3.98945e7 0.587399
\(409\) 2.09583e6i 0.0306328i 0.999883 + 0.0153164i \(0.00487555\pi\)
−0.999883 + 0.0153164i \(0.995124\pi\)
\(410\) −9.77398e6 + 1.69290e7i −0.141814 + 0.245630i
\(411\) −8.07541e6 + 1.39870e7i −0.116316 + 0.201465i
\(412\) 1.66563e7 + 2.88496e7i 0.238170 + 0.412523i
\(413\) −2.36552e7 + 1.36573e7i −0.335796 + 0.193872i
\(414\) 1.40640e7i 0.198202i
\(415\) −5.54647e7 + 3.20226e7i −0.776019 + 0.448035i
\(416\) −9.72897e7 + 5.61702e7i −1.35141 + 0.780236i
\(417\) 1.37810e8 7.95645e7i 1.90052 1.09726i
\(418\) 1.63945e6 2.83961e6i 0.0224476 0.0388804i
\(419\) 2.52277e7i 0.342954i −0.985188 0.171477i \(-0.945146\pi\)
0.985188 0.171477i \(-0.0548539\pi\)
\(420\) −4.66006e7 2.69049e7i −0.628990 0.363147i
\(421\) 8.66416e7 5.00225e7i 1.16113 0.670378i 0.209554 0.977797i \(-0.432799\pi\)
0.951574 + 0.307420i \(0.0994655\pi\)
\(422\) 1.91873e6 0.0255315
\(423\) 7.04562e7 + 1.22034e8i 0.930890 + 1.61235i
\(424\) −6.93999e6 4.00680e6i −0.0910461 0.0525655i
\(425\) 6.30110e6 1.09138e7i 0.0820823 0.142171i
\(426\) 5.42977e7i 0.702348i
\(427\) 2.61460e7 4.52863e7i 0.335832 0.581679i
\(428\) 6.39529e7 0.815697
\(429\) 1.05997e8i 1.34252i
\(430\) 1.61366e7 2.43612e7i 0.202958 0.306403i
\(431\) 4.84738e7 0.605446 0.302723 0.953079i \(-0.402104\pi\)
0.302723 + 0.953079i \(0.402104\pi\)
\(432\) 2.83730e7i 0.351928i
\(433\) −8.35038e7 4.82109e7i −1.02859 0.593857i −0.112010 0.993707i \(-0.535729\pi\)
−0.916581 + 0.399850i \(0.869062\pi\)
\(434\) −377971. −0.00462369
\(435\) −1.11075e8 6.41291e7i −1.34942 0.779090i
\(436\) −3.84117e7 + 6.65310e7i −0.463451 + 0.802721i
\(437\) 9.48846e6 5.47816e6i 0.113698 0.0656433i
\(438\) 7.21763e7i 0.858959i
\(439\) −6.52454e7 1.13008e8i −0.771181 1.33572i −0.936916 0.349554i \(-0.886333\pi\)
0.165736 0.986170i \(-0.447000\pi\)
\(440\) 1.40976e7 2.44177e7i 0.165495 0.286646i
\(441\) −8.87298e7 −1.03456
\(442\) 2.80622e7 + 1.62017e7i 0.324978 + 0.187626i
\(443\) 5.13802e7 + 8.89932e7i 0.590996 + 1.02364i 0.994099 + 0.108481i \(0.0345986\pi\)
−0.403102 + 0.915155i \(0.632068\pi\)
\(444\) 4.48292e7 + 7.76464e7i 0.512167 + 0.887100i
\(445\) −6.76107e7 1.17105e8i −0.767247 1.32891i
\(446\) −1.82973e6 −0.0206245
\(447\) −1.04366e8 1.80768e8i −1.16853 2.02395i
\(448\) 1.52919e7 8.82878e6i 0.170070 0.0981899i
\(449\) −5.65678e7 3.26594e7i −0.624928 0.360802i 0.153857 0.988093i \(-0.450830\pi\)
−0.778785 + 0.627291i \(0.784164\pi\)
\(450\) 9.08754e6 + 5.24670e6i 0.0997261 + 0.0575769i
\(451\) −3.36771e7 −0.367118
\(452\) 7.14213e7i 0.773415i
\(453\) −3.70998e7 + 6.42588e7i −0.399096 + 0.691254i
\(454\) −1.12808e7 + 1.95390e7i −0.120552 + 0.208802i
\(455\) −4.63199e7 8.02285e7i −0.491738 0.851715i
\(456\) −2.24114e7 + 1.29392e7i −0.236360 + 0.136463i
\(457\) 1.25941e8i 1.31953i −0.751473 0.659764i \(-0.770656\pi\)
0.751473 0.659764i \(-0.229344\pi\)
\(458\) −2.59191e7 + 1.49644e7i −0.269788 + 0.155762i
\(459\) −2.65087e7 + 1.53048e7i −0.274126 + 0.158266i
\(460\) 3.84929e7 2.22239e7i 0.395464 0.228321i
\(461\) 3.48608e6 6.03807e6i 0.0355823 0.0616304i −0.847686 0.530499i \(-0.822005\pi\)
0.883268 + 0.468868i \(0.155338\pi\)
\(462\) 1.10900e7i 0.112462i
\(463\) 8.22185e7 + 4.74689e7i 0.828374 + 0.478262i 0.853296 0.521427i \(-0.174600\pi\)
−0.0249214 + 0.999689i \(0.507934\pi\)
\(464\) 5.42244e7 3.13065e7i 0.542801 0.313386i
\(465\) −5.15932e6 −0.0513138
\(466\) −4.67467e6 8.09677e6i −0.0461948 0.0800118i
\(467\) −1.95665e7 1.12967e7i −0.192116 0.110918i 0.400857 0.916141i \(-0.368712\pi\)
−0.592973 + 0.805223i \(0.702046\pi\)
\(468\) 1.12770e8 1.95323e8i 1.10016 1.90553i
\(469\) 7.14819e7i 0.692911i
\(470\) 2.66377e7 4.61379e7i 0.256569 0.444390i
\(471\) 3.45705e7 0.330859
\(472\) 5.32915e7i 0.506795i
\(473\) 5.02465e7 + 3.09091e6i 0.474813 + 0.0292081i
\(474\) −1.04522e8 −0.981461
\(475\) 8.17468e6i 0.0762764i
\(476\) −2.45427e7 1.41697e7i −0.227563 0.131384i
\(477\) 2.45867e7 0.226540
\(478\) 5.79739e6 + 3.34712e6i 0.0530822 + 0.0306470i
\(479\) 1.08190e8 1.87391e8i 0.984423 1.70507i 0.339951 0.940443i \(-0.389590\pi\)
0.644472 0.764628i \(-0.277077\pi\)
\(480\) −1.38944e8 + 8.02194e7i −1.25637 + 0.725363i
\(481\) 1.54358e8i 1.38705i
\(482\) 6.67969e6 + 1.15696e7i 0.0596507 + 0.103318i
\(483\) −1.85284e7 + 3.20921e7i −0.164436 + 0.284811i
\(484\) −7.83491e7 −0.691032
\(485\) 6.75394e7 + 3.89939e7i 0.592014 + 0.341799i
\(486\) 2.54721e7 + 4.41190e7i 0.221899 + 0.384341i
\(487\) −2.86728e7 4.96628e7i −0.248247 0.429976i 0.714793 0.699336i \(-0.246521\pi\)
−0.963039 + 0.269361i \(0.913188\pi\)
\(488\) −5.10116e7 8.83547e7i −0.438944 0.760274i
\(489\) 2.84981e8 2.43719
\(490\) 1.67732e7 + 2.90521e7i 0.142570 + 0.246939i
\(491\) 1.42149e6 820697.i 0.0120088 0.00693328i −0.493984 0.869471i \(-0.664460\pi\)
0.505992 + 0.862538i \(0.331126\pi\)
\(492\) 1.08596e8 + 6.26981e7i 0.911843 + 0.526453i
\(493\) −5.84988e7 3.37743e7i −0.488209 0.281868i
\(494\) −2.10192e7 −0.174355
\(495\) 8.65061e7i 0.713232i
\(496\) 1.25934e6 2.18123e6i 0.0103204 0.0178755i
\(497\) 4.08780e7 7.08027e7i 0.332982 0.576741i
\(498\) −2.45740e7 4.25635e7i −0.198970 0.344627i
\(499\) −5.07497e6 + 2.93004e6i −0.0408443 + 0.0235815i −0.520283 0.853994i \(-0.674174\pi\)
0.479439 + 0.877575i \(0.340840\pi\)
\(500\) 9.23651e7i 0.738921i
\(501\) −2.06525e8 + 1.19237e8i −1.64233 + 0.948198i
\(502\) 1.56807e7 9.05326e6i 0.123952 0.0715639i
\(503\) −1.00325e8 + 5.79226e7i −0.788324 + 0.455139i −0.839372 0.543557i \(-0.817077\pi\)
0.0510483 + 0.998696i \(0.483744\pi\)
\(504\) 2.50087e7 4.33164e7i 0.195344 0.338346i
\(505\) 2.55888e8i 1.98690i
\(506\) −7.93325e6 4.58026e6i −0.0612350 0.0353540i
\(507\) 4.16044e8 2.40203e8i 3.19238 1.84312i
\(508\) −2.83092e7 −0.215942
\(509\) 5.39647e7 + 9.34695e7i 0.409219 + 0.708789i 0.994802 0.101824i \(-0.0324678\pi\)
−0.585583 + 0.810612i \(0.699134\pi\)
\(510\) 4.00769e7 + 2.31384e7i 0.302123 + 0.174431i
\(511\) −5.43379e7 + 9.41160e7i −0.407231 + 0.705344i
\(512\) 1.35705e8i 1.01108i
\(513\) 9.92777e6 1.71954e7i 0.0735360 0.127368i
\(514\) 3.81845e7 0.281188
\(515\) 8.19067e7i 0.599650i
\(516\) −1.56272e8 1.03513e8i −1.13745 0.753436i
\(517\) 9.17826e7 0.664184
\(518\) 1.61498e7i 0.116192i
\(519\) −2.90986e8 1.68001e8i −2.08147 1.20174i
\(520\) −1.80743e8 −1.28544
\(521\) −2.22388e7 1.28396e7i −0.157253 0.0907899i 0.419309 0.907844i \(-0.362273\pi\)
−0.576561 + 0.817054i \(0.695606\pi\)
\(522\) 2.81226e7 4.87098e7i 0.197717 0.342456i
\(523\) −4.51965e7 + 2.60942e7i −0.315937 + 0.182406i −0.649580 0.760293i \(-0.725055\pi\)
0.333643 + 0.942699i \(0.391722\pi\)
\(524\) 6.01136e7i 0.417810i
\(525\) −1.38243e7 2.39444e7i −0.0955357 0.165473i
\(526\) 1.33361e7 2.30988e7i 0.0916372 0.158720i
\(527\) −2.71721e6 −0.0185649
\(528\) −6.39993e7 3.69500e7i −0.434784 0.251023i
\(529\) 5.87132e7 + 1.01694e8i 0.396614 + 0.686956i
\(530\) −4.64781e6 8.05025e6i −0.0312191 0.0540731i
\(531\) −8.17524e7 1.41599e8i −0.546031 0.945753i
\(532\) 1.83830e7 0.122090
\(533\) 1.07942e8 + 1.86962e8i 0.712869 + 1.23473i
\(534\) 8.98662e7 5.18843e7i 0.590164 0.340731i
\(535\) 1.36176e8 + 7.86213e7i 0.889282 + 0.513427i
\(536\) 1.20778e8 + 6.97315e7i 0.784323 + 0.452829i
\(537\) −3.60889e8 −2.33051
\(538\) 2.41263e7i 0.154933i
\(539\) −2.88968e7 + 5.00508e7i −0.184537 + 0.319628i
\(540\) 4.02751e7 6.97586e7i 0.255774 0.443013i
\(541\) 1.79639e7 + 3.11144e7i 0.113451 + 0.196503i 0.917160 0.398520i \(-0.130476\pi\)
−0.803708 + 0.595023i \(0.797143\pi\)
\(542\) 6.31073e7 3.64350e7i 0.396352 0.228834i
\(543\) 1.12534e8i 0.702885i
\(544\) −7.31764e7 + 4.22484e7i −0.454542 + 0.262430i
\(545\) −1.63582e8 + 9.44438e7i −1.01052 + 0.583424i
\(546\) 6.15671e7 3.55458e7i 0.378243 0.218379i
\(547\) −7.35241e7 + 1.27348e8i −0.449229 + 0.778088i −0.998336 0.0576644i \(-0.981635\pi\)
0.549107 + 0.835752i \(0.314968\pi\)
\(548\) 2.23839e7i 0.136017i
\(549\) 2.71083e8 + 1.56510e8i 1.63827 + 0.945855i
\(550\) 5.91912e6 3.41741e6i 0.0355770 0.0205404i
\(551\) 4.38169e7 0.261931
\(552\) 3.61493e7 + 6.26125e7i 0.214923 + 0.372258i
\(553\) 1.36294e8 + 7.86895e7i 0.805938 + 0.465309i
\(554\) 2.43897e7 4.22441e7i 0.143442 0.248449i
\(555\) 2.20445e8i 1.28950i
\(556\) −1.10271e8 + 1.90995e8i −0.641559 + 1.11121i
\(557\) 2.58624e8 1.49659 0.748297 0.663364i \(-0.230872\pi\)
0.748297 + 0.663364i \(0.230872\pi\)
\(558\) 2.26253e6i 0.0130224i
\(559\) −1.43891e8 2.88855e8i −0.823757 1.65365i
\(560\) 6.45877e7 0.367778
\(561\) 7.97254e7i 0.451553i
\(562\) 6.90244e7 + 3.98512e7i 0.388860 + 0.224509i
\(563\) −1.13189e8 −0.634276 −0.317138 0.948379i \(-0.602722\pi\)
−0.317138 + 0.948379i \(0.602722\pi\)
\(564\) −2.95965e8 1.70876e8i −1.64969 0.952451i
\(565\) −8.78027e7 + 1.52079e8i −0.486813 + 0.843186i
\(566\) 3.98788e6 2.30241e6i 0.0219934 0.0126979i
\(567\) 4.79272e7i 0.262926i
\(568\) −7.97539e7 1.38138e8i −0.435218 0.753820i
\(569\) −8.65739e7 + 1.49950e8i −0.469949 + 0.813975i −0.999410 0.0343594i \(-0.989061\pi\)
0.529461 + 0.848334i \(0.322394\pi\)
\(570\) −3.00185e7 −0.162093
\(571\) −7.67800e7 4.43289e7i −0.412420 0.238111i 0.279409 0.960172i \(-0.409861\pi\)
−0.691829 + 0.722061i \(0.743195\pi\)
\(572\) −7.34520e7 1.27223e8i −0.392478 0.679793i
\(573\) 2.44799e8 + 4.24005e8i 1.30121 + 2.25376i
\(574\) 1.12935e7 + 1.95610e7i 0.0597165 + 0.103432i
\(575\) 2.28383e7 0.120132
\(576\) 5.28489e7 + 9.15371e7i 0.276547 + 0.478993i
\(577\) 5.72908e7 3.30768e7i 0.298234 0.172185i −0.343415 0.939184i \(-0.611584\pi\)
0.641649 + 0.766998i \(0.278250\pi\)
\(578\) −3.35563e7 1.93738e7i −0.173776 0.100330i
\(579\) −2.11239e8 1.21959e8i −1.08827 0.628315i
\(580\) 1.77757e8 0.911051
\(581\) 7.40022e7i 0.377326i
\(582\) −2.99238e7 + 5.18295e7i −0.151791 + 0.262911i
\(583\) 8.00722e6 1.38689e7i 0.0404088 0.0699901i
\(584\) 1.06015e8 + 1.83623e8i 0.532264 + 0.921909i
\(585\) 4.80246e8 2.77270e8i 2.39881 1.38496i
\(586\) 5.87305e7i 0.291857i
\(587\) 3.01658e8 1.74162e8i 1.49142 0.861072i 0.491469 0.870895i \(-0.336460\pi\)
0.999952 + 0.00982261i \(0.00312668\pi\)
\(588\) 1.86363e8 1.07597e8i 0.916703 0.529259i
\(589\) 1.52644e6 881290.i 0.00747022 0.00431293i
\(590\) −3.09085e7 + 5.35351e7i −0.150495 + 0.260665i
\(591\) 4.16909e7i 0.201966i
\(592\) −9.31988e7 5.38084e7i −0.449206 0.259349i
\(593\) −1.10172e8 + 6.36078e7i −0.528332 + 0.305032i −0.740337 0.672236i \(-0.765334\pi\)
0.212005 + 0.977269i \(0.432001\pi\)
\(594\) −1.66011e7 −0.0792097
\(595\) −3.48395e7 6.03438e7i −0.165395 0.286472i
\(596\) 2.50532e8 + 1.44645e8i 1.18338 + 0.683224i
\(597\) −5.69554e7 + 9.86496e7i −0.267678 + 0.463631i
\(598\) 5.87229e7i 0.274602i
\(599\) 1.88530e8 3.26543e8i 0.877202 1.51936i 0.0228026 0.999740i \(-0.492741\pi\)
0.854399 0.519618i \(-0.173926\pi\)
\(600\) −5.39431e7 −0.249737
\(601\) 2.12943e8i 0.980934i −0.871460 0.490467i \(-0.836826\pi\)
0.871460 0.490467i \(-0.163174\pi\)
\(602\) −1.50547e7 3.02217e7i −0.0690055 0.138525i
\(603\) −4.27889e8 −1.95155
\(604\) 1.02835e8i 0.466694i
\(605\) −1.66830e8 9.63196e7i −0.753371 0.434959i
\(606\) −1.96368e8 −0.882372
\(607\) −2.97713e8 1.71885e8i −1.33117 0.768549i −0.345687 0.938350i \(-0.612354\pi\)
−0.985478 + 0.169801i \(0.945688\pi\)
\(608\) 2.74053e7 4.74674e7i 0.121934 0.211196i
\(609\) −1.28344e8 + 7.40992e7i −0.568228 + 0.328066i
\(610\) 1.18345e8i 0.521386i
\(611\) −2.94183e8 5.09539e8i −1.28971 2.23385i
\(612\) 8.48198e7 1.46912e8i 0.370035 0.640920i
\(613\) −1.96524e8 −0.853168 −0.426584 0.904448i \(-0.640283\pi\)
−0.426584 + 0.904448i \(0.640283\pi\)
\(614\) 9.51463e7 + 5.49327e7i 0.411042 + 0.237315i
\(615\) 1.54158e8 + 2.67009e8i 0.662734 + 1.14789i
\(616\) −1.62893e7 2.82139e7i −0.0696883 0.120704i
\(617\) −1.61965e8 2.80532e8i −0.689552 1.19434i −0.971983 0.235051i \(-0.924474\pi\)
0.282431 0.959287i \(-0.408859\pi\)
\(618\) −6.28549e7 −0.266302
\(619\) 1.96166e8 + 3.39770e8i 0.827089 + 1.43256i 0.900312 + 0.435244i \(0.143338\pi\)
−0.0732237 + 0.997316i \(0.523329\pi\)
\(620\) 6.19248e6 3.57523e6i 0.0259830 0.0150013i
\(621\) −4.80402e7 2.77360e7i −0.200599 0.115816i
\(622\) 5.88132e7 + 3.39558e7i 0.244401 + 0.141105i
\(623\) −1.56244e8 −0.646160
\(624\) 4.73730e8i 1.94974i
\(625\) 1.45800e8 2.52533e8i 0.597197 1.03437i
\(626\) −1.34346e7 + 2.32695e7i −0.0547650 + 0.0948558i
\(627\) −2.58578e7 4.47870e7i −0.104903 0.181698i
\(628\) −4.14933e7 + 2.39562e7i −0.167532 + 0.0967249i
\(629\) 1.16100e8i 0.466531i
\(630\) 5.02461e7 2.90096e7i 0.200947 0.116017i
\(631\) 1.57874e8 9.11487e7i 0.628381 0.362796i −0.151744 0.988420i \(-0.548489\pi\)
0.780125 + 0.625624i \(0.215156\pi\)
\(632\) 2.65913e8 1.53525e8i 1.05339 0.608174i
\(633\) 1.51313e7 2.62082e7i 0.0596575 0.103330i
\(634\) 6.40466e7i 0.251321i
\(635\) −6.02793e7 3.48023e7i −0.235422 0.135921i
\(636\) −5.16407e7 + 2.98148e7i −0.200734 + 0.115894i
\(637\) 3.70482e8 1.43334
\(638\) −1.83175e7 3.17269e7i −0.0705350 0.122170i
\(639\) 4.23824e8 + 2.44695e8i 1.62436 + 0.937826i
\(640\) 1.44459e8 2.50211e8i 0.551069 0.954479i
\(641\) 8.80558e7i 0.334337i 0.985928 + 0.167168i \(0.0534623\pi\)
−0.985928 + 0.167168i \(0.946538\pi\)
\(642\) −6.03338e7 + 1.04501e8i −0.228011 + 0.394926i
\(643\) 5.93241e7 0.223151 0.111575 0.993756i \(-0.464410\pi\)
0.111575 + 0.993756i \(0.464410\pi\)
\(644\) 5.13581e7i 0.192287i
\(645\) −2.05498e8 4.12528e8i −0.765823 1.53735i
\(646\) −1.58096e7 −0.0586438
\(647\) 2.41880e8i 0.893075i −0.894765 0.446537i \(-0.852657\pi\)
0.894765 0.446537i \(-0.147343\pi\)
\(648\) −8.09796e7 4.67536e7i −0.297612 0.171826i
\(649\) −1.06498e8 −0.389590
\(650\) −3.79441e7 2.19070e7i −0.138167 0.0797707i
\(651\) −2.98072e6 + 5.16276e6i −0.0108038 + 0.0187128i
\(652\) −3.42048e8 + 1.97482e8i −1.23408 + 0.712498i
\(653\) 4.63037e8i 1.66294i 0.555571 + 0.831469i \(0.312500\pi\)
−0.555571 + 0.831469i \(0.687500\pi\)
\(654\) −7.24759e7 1.25532e8i −0.259096 0.448767i
\(655\) 7.39015e7 1.28001e8i 0.262984 0.455502i
\(656\) −1.50513e8 −0.533165
\(657\) −5.63377e8 3.25266e8i −1.98657 1.14694i
\(658\) −3.07791e7 5.33109e7i −0.108038 0.187128i
\(659\) 1.57206e8 + 2.72289e8i 0.549305 + 0.951424i 0.998322 + 0.0579008i \(0.0184407\pi\)
−0.449018 + 0.893523i \(0.648226\pi\)
\(660\) −1.04900e8 1.81693e8i −0.364876 0.631984i
\(661\) −9.08469e7 −0.314561 −0.157281 0.987554i \(-0.550273\pi\)
−0.157281 + 0.987554i \(0.550273\pi\)
\(662\) 2.64253e7 + 4.57700e7i 0.0910849 + 0.157764i
\(663\) 4.42603e8 2.55537e8i 1.51871 0.876825i
\(664\) 1.25037e8 + 7.21901e7i 0.427104 + 0.246589i
\(665\) 3.91433e7 + 2.25994e7i 0.133104 + 0.0768479i
\(666\) −9.66723e7 −0.327250
\(667\) 1.22415e8i 0.412530i
\(668\) 1.65255e8 2.86229e8i 0.554401 0.960251i
\(669\) −1.44295e7 + 2.49926e7i −0.0481917 + 0.0834705i
\(670\) 8.08871e7 + 1.40101e8i 0.268940 + 0.465817i
\(671\) 1.76568e8 1.01942e8i 0.584447 0.337431i
\(672\) 1.85382e8i 0.610886i
\(673\) −1.08523e7 + 6.26555e6i −0.0356020 + 0.0205548i −0.517695 0.855565i \(-0.673210\pi\)
0.482093 + 0.876120i \(0.339877\pi\)
\(674\) 1.65994e7 9.58369e6i 0.0542143 0.0313006i
\(675\) 3.58435e7 2.06943e7i 0.116546 0.0672881i
\(676\) −3.32904e8 + 5.76607e8i −1.07765 + 1.86655i
\(677\) 5.24044e7i 0.168889i 0.996428 + 0.0844447i \(0.0269116\pi\)
−0.996428 + 0.0844447i \(0.973088\pi\)
\(678\) −1.16705e8 6.73795e7i −0.374455 0.216192i
\(679\) 7.80396e7 4.50562e7i 0.249291 0.143928i
\(680\) −1.35945e8 −0.432353
\(681\) 1.77924e8 + 3.08173e8i 0.563369 + 0.975783i
\(682\) −1.27625e6 736842.i −0.00402329 0.00232285i
\(683\) −6.25647e7 + 1.08365e8i −0.196367 + 0.340117i −0.947348 0.320207i \(-0.896248\pi\)
0.750981 + 0.660324i \(0.229581\pi\)
\(684\) 1.10040e8i 0.343862i
\(685\) 2.75180e7 4.76625e7i 0.0856139 0.148288i
\(686\) 8.87233e7 0.274831
\(687\) 4.72043e8i 1.45583i
\(688\) 2.24566e8 + 1.38142e7i 0.689571 + 0.0424189i
\(689\) −1.02659e8 −0.313863
\(690\) 8.38650e7i 0.255290i
\(691\) 1.87876e8 + 1.08470e8i 0.569425 + 0.328758i 0.756920 0.653508i \(-0.226703\pi\)
−0.187495 + 0.982266i \(0.560037\pi\)
\(692\) 4.65674e8 1.40528
\(693\) 8.65637e7 + 4.99776e7i 0.260097 + 0.150167i
\(694\) 7.39512e7 1.28087e8i 0.221242 0.383202i
\(695\) −4.69604e8 + 2.71126e8i −1.39887 + 0.807638i
\(696\) 2.89139e8i 0.857588i
\(697\) 8.11887e7 + 1.40623e8i 0.239771 + 0.415296i
\(698\) 1.87328e7 3.24462e7i 0.0550854 0.0954108i
\(699\) −1.47460e8 −0.431760
\(700\) 3.31853e7 + 1.91595e7i 0.0967500 + 0.0558587i
\(701\) −7.29910e7 1.26424e8i −0.211892 0.367009i 0.740414 0.672151i \(-0.234629\pi\)
−0.952307 + 0.305142i \(0.901296\pi\)
\(702\) 5.32101e7 + 9.21626e7i 0.153809 + 0.266406i
\(703\) −3.76554e7 6.52210e7i −0.108383 0.187725i
\(704\) 6.88457e7 0.197315
\(705\) −4.20136e8 7.27697e8i −1.19901 2.07675i
\(706\) −1.11369e8 + 6.42989e7i −0.316483 + 0.182721i
\(707\) 2.56058e8 + 1.47835e8i 0.724570 + 0.418331i
\(708\) 3.43417e8 + 1.98272e8i 0.967658 + 0.558678i
\(709\) −4.32547e8 −1.21365 −0.606827 0.794834i \(-0.707558\pi\)
−0.606827 + 0.794834i \(0.707558\pi\)
\(710\) 1.85026e8i 0.516961i
\(711\) −4.71034e8 + 8.15854e8i −1.31052 + 2.26988i
\(712\) −1.52418e8 + 2.63996e8i −0.422276 + 0.731404i
\(713\) −2.46213e6 4.26453e6i −0.00679269 0.0117653i
\(714\) 4.63077e7 2.67357e7i 0.127221 0.0734510i
\(715\) 3.61197e8i 0.988157i
\(716\) 4.33157e8 2.50083e8i 1.18006 0.681311i
\(717\) 9.14377e7 5.27916e7i 0.248066 0.143221i
\(718\) 1.63308e6 942860.i 0.00441199 0.00254726i
\(719\) 2.09587e8 3.63015e8i 0.563868 0.976647i −0.433286 0.901256i \(-0.642646\pi\)
0.997154 0.0753911i \(-0.0240205\pi\)
\(720\) 3.86621e8i 1.03583i
\(721\) 8.19612e7 + 4.73203e7i 0.218677 + 0.126253i
\(722\) −9.76614e7 + 5.63849e7i −0.259485 + 0.149813i
\(723\) 2.10707e8 0.557526
\(724\) −7.79820e7 1.35069e8i −0.205484 0.355909i
\(725\) 7.90988e7 + 4.56677e7i 0.207566 + 0.119838i
\(726\) 7.39154e7 1.28025e8i 0.193163 0.334569i
\(727\) 746594.i 0.00194304i −1.00000 0.000971519i \(-0.999691\pi\)
1.00000 0.000971519i \(-0.000309244\pi\)
\(728\) −1.04421e8 + 1.80863e8i −0.270642 + 0.468765i
\(729\) 5.88357e8 1.51865
\(730\) 2.45950e8i 0.632234i
\(731\) −1.08228e8 2.17262e8i −0.277068 0.556201i
\(732\) −7.59158e8 −1.93552
\(733\) 2.65891e8i 0.675137i −0.941301 0.337569i \(-0.890396\pi\)
0.941301 0.337569i \(-0.109604\pi\)
\(734\) −4.33179e7 2.50096e7i −0.109542 0.0632439i
\(735\) 5.29103e8 1.33253
\(736\) −1.32613e8 7.65644e7i −0.332624 0.192041i
\(737\) −1.39352e8 + 2.41364e8i −0.348105 + 0.602935i
\(738\) −1.17092e8 + 6.76029e7i −0.291311 + 0.168189i
\(739\) 5.26534e8i 1.30465i −0.757941 0.652323i \(-0.773795\pi\)
0.757941 0.652323i \(-0.226205\pi\)
\(740\) −1.52761e8 2.64590e8i −0.376979 0.652947i
\(741\) −1.65760e8 + 2.87104e8i −0.407403 + 0.705642i
\(742\) −1.07408e7 −0.0262921
\(743\) −2.90256e8 1.67580e8i −0.707644 0.408559i 0.102544 0.994728i \(-0.467302\pi\)
−0.810188 + 0.586170i \(0.800635\pi\)
\(744\) 5.81546e6 + 1.00727e7i 0.0141210 + 0.0244583i
\(745\) 3.55641e8 + 6.15989e8i 0.860089 + 1.48972i
\(746\) −9.34755e7 1.61904e8i −0.225155 0.389979i
\(747\) −4.42976e8 −1.06272
\(748\) −5.52469e7 9.56905e7i −0.132009 0.228646i
\(749\) 1.57347e8 9.08445e7i 0.374467 0.216199i
\(750\) 1.50928e8 + 8.71382e7i 0.357755 + 0.206550i
\(751\) 1.20622e8 + 6.96411e7i 0.284778 + 0.164417i 0.635584 0.772031i \(-0.280759\pi\)
−0.350807 + 0.936448i \(0.614093\pi\)
\(752\) 4.10203e8 0.964596
\(753\) 2.85580e8i 0.668873i
\(754\) −1.17423e8 + 2.03383e8i −0.273930 + 0.474461i
\(755\) 1.26422e8 2.18970e8i 0.293753 0.508795i
\(756\) −4.65367e7 8.06039e7i −0.107704 0.186548i
\(757\) −2.41720e8 + 1.39557e8i −0.557218 + 0.321710i −0.752028 0.659131i \(-0.770924\pi\)
0.194810 + 0.980841i \(0.437591\pi\)
\(758\) 2.24674e8i 0.515877i
\(759\) −1.25125e8 + 7.22410e7i −0.286167 + 0.165218i
\(760\) 7.63696e7 4.40920e7i 0.173972 0.100443i
\(761\) 5.78400e8 3.33939e8i 1.31242 0.757728i 0.329927 0.944007i \(-0.392976\pi\)
0.982497 + 0.186278i \(0.0596426\pi\)
\(762\) 2.67072e7 4.62582e7i 0.0603619 0.104550i
\(763\) 2.18254e8i 0.491347i
\(764\) −5.87641e8 3.39275e8i −1.31775 &min