Properties

Label 43.7.d.a.7.9
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 7.9
Character \(\chi\) \(=\) 43.7
Dual form 43.7.d.a.37.13

$q$-expansion

\(f(q)\) \(=\) \(q-2.64495i q^{2} +(-0.554504 + 0.320143i) q^{3} +57.0043 q^{4} +(14.6929 - 8.48295i) q^{5} +(0.846761 + 1.46663i) q^{6} +(131.768 + 76.0760i) q^{7} -320.050i q^{8} +(-364.295 + 630.977i) q^{9} +O(q^{10})\) \(q-2.64495i q^{2} +(-0.554504 + 0.320143i) q^{3} +57.0043 q^{4} +(14.6929 - 8.48295i) q^{5} +(0.846761 + 1.46663i) q^{6} +(131.768 + 76.0760i) q^{7} -320.050i q^{8} +(-364.295 + 630.977i) q^{9} +(-22.4370 - 38.8619i) q^{10} +1691.94 q^{11} +(-31.6091 + 18.2495i) q^{12} +(892.086 - 1545.14i) q^{13} +(201.217 - 348.518i) q^{14} +(-5.43151 + 9.40766i) q^{15} +2801.76 q^{16} +(1210.07 - 2095.91i) q^{17} +(1668.90 + 963.541i) q^{18} +(8142.05 - 4700.81i) q^{19} +(837.558 - 483.564i) q^{20} -97.4208 q^{21} -4475.08i q^{22} +(-2997.75 - 5192.26i) q^{23} +(102.462 + 177.469i) q^{24} +(-7668.58 + 13282.4i) q^{25} +(-4086.81 - 2359.52i) q^{26} -933.274i q^{27} +(7511.31 + 4336.66i) q^{28} +(3630.94 + 2096.33i) q^{29} +(24.8827 + 14.3661i) q^{30} +(11760.7 + 20370.1i) q^{31} -27893.7i q^{32} +(-938.184 + 541.661i) q^{33} +(-5543.56 - 3200.58i) q^{34} +2581.40 q^{35} +(-20766.4 + 35968.4i) q^{36} +(-44165.0 + 25498.7i) q^{37} +(-12433.4 - 21535.3i) q^{38} +1142.38i q^{39} +(-2714.97 - 4702.46i) q^{40} -68362.2 q^{41} +257.673i q^{42} +(-38156.7 + 69752.6i) q^{43} +96447.5 q^{44} +12361.2i q^{45} +(-13733.2 + 7928.89i) q^{46} -143367. q^{47} +(-1553.59 + 896.963i) q^{48} +(-47249.4 - 81838.3i) q^{49} +(35131.1 + 20283.0i) q^{50} +1549.58i q^{51} +(50852.7 - 88079.5i) q^{52} +(4028.49 + 6977.56i) q^{53} -2468.46 q^{54} +(24859.4 - 14352.6i) q^{55} +(24348.1 - 42172.2i) q^{56} +(-3009.86 + 5213.23i) q^{57} +(5544.67 - 9603.65i) q^{58} +270265. q^{59} +(-309.619 + 536.276i) q^{60} +(195636. + 112951. i) q^{61} +(53877.8 - 31106.4i) q^{62} +(-96004.5 + 55428.2i) q^{63} +105535. q^{64} -30270.1i q^{65} +(1432.66 + 2481.45i) q^{66} +(-69735.4 - 120785. i) q^{67} +(68979.3 - 119476. i) q^{68} +(3324.53 + 1919.42i) q^{69} -6827.66i q^{70} +(-501487. - 289534. i) q^{71} +(201944. + 116593. i) q^{72} +(357004. + 206116. i) q^{73} +(67442.7 + 116814. i) q^{74} -9820.16i q^{75} +(464131. - 267966. i) q^{76} +(222942. + 128716. i) q^{77} +3021.53 q^{78} +(-387632. + 671399. i) q^{79} +(41166.0 - 23767.2i) q^{80} +(-265272. - 459465. i) q^{81} +180814. i q^{82} +(-234913. - 406881. i) q^{83} -5553.40 q^{84} -41059.9i q^{85} +(184492. + 100922. i) q^{86} -2684.49 q^{87} -541504. i q^{88} +(-511098. + 295082. i) q^{89} +32694.7 q^{90} +(235096. - 135733. i) q^{91} +(-170885. - 295981. i) q^{92} +(-13042.7 - 7530.20i) q^{93} +379198. i q^{94} +(79753.5 - 138137. i) q^{95} +(8929.96 + 15467.1i) q^{96} -1.06433e6 q^{97} +(-216458. + 124972. i) q^{98} +(-616364. + 1.06757e6i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.64495i 0.330618i −0.986242 0.165309i \(-0.947138\pi\)
0.986242 0.165309i \(-0.0528622\pi\)
\(3\) −0.554504 + 0.320143i −0.0205372 + 0.0118571i −0.510233 0.860036i \(-0.670441\pi\)
0.489696 + 0.871893i \(0.337108\pi\)
\(4\) 57.0043 0.890692
\(5\) 14.6929 8.48295i 0.117543 0.0678636i −0.440076 0.897961i \(-0.645048\pi\)
0.557619 + 0.830097i \(0.311715\pi\)
\(6\) 0.846761 + 1.46663i 0.00392019 + 0.00678996i
\(7\) 131.768 + 76.0760i 0.384162 + 0.221796i 0.679627 0.733557i \(-0.262141\pi\)
−0.295466 + 0.955353i \(0.595475\pi\)
\(8\) 320.050i 0.625097i
\(9\) −364.295 + 630.977i −0.499719 + 0.865538i
\(10\) −22.4370 38.8619i −0.0224370 0.0388619i
\(11\) 1691.94 1.27118 0.635588 0.772028i \(-0.280758\pi\)
0.635588 + 0.772028i \(0.280758\pi\)
\(12\) −31.6091 + 18.2495i −0.0182923 + 0.0105611i
\(13\) 892.086 1545.14i 0.406047 0.703295i −0.588395 0.808573i \(-0.700240\pi\)
0.994443 + 0.105279i \(0.0335734\pi\)
\(14\) 201.217 348.518i 0.0733298 0.127011i
\(15\) −5.43151 + 9.40766i −0.00160934 + 0.00278745i
\(16\) 2801.76 0.684023
\(17\) 1210.07 2095.91i 0.246300 0.426604i −0.716196 0.697899i \(-0.754118\pi\)
0.962496 + 0.271295i \(0.0874518\pi\)
\(18\) 1668.90 + 963.541i 0.286163 + 0.165216i
\(19\) 8142.05 4700.81i 1.18706 0.685349i 0.229423 0.973327i \(-0.426316\pi\)
0.957637 + 0.287977i \(0.0929828\pi\)
\(20\) 837.558 483.564i 0.104695 0.0604455i
\(21\) −97.4208 −0.0105195
\(22\) 4475.08i 0.420274i
\(23\) −2997.75 5192.26i −0.246384 0.426749i 0.716136 0.697961i \(-0.245909\pi\)
−0.962520 + 0.271212i \(0.912576\pi\)
\(24\) 102.462 + 177.469i 0.00741187 + 0.0128377i
\(25\) −7668.58 + 13282.4i −0.490789 + 0.850072i
\(26\) −4086.81 2359.52i −0.232522 0.134247i
\(27\) 933.274i 0.0474152i
\(28\) 7511.31 + 4336.66i 0.342170 + 0.197552i
\(29\) 3630.94 + 2096.33i 0.148876 + 0.0859537i 0.572588 0.819843i \(-0.305940\pi\)
−0.423711 + 0.905797i \(0.639273\pi\)
\(30\) 24.8827 + 14.3661i 0.000921583 + 0.000532076i
\(31\) 11760.7 + 20370.1i 0.394773 + 0.683767i 0.993072 0.117506i \(-0.0374899\pi\)
−0.598299 + 0.801273i \(0.704157\pi\)
\(32\) 27893.7i 0.851248i
\(33\) −938.184 + 541.661i −0.0261064 + 0.0150725i
\(34\) −5543.56 3200.58i −0.141043 0.0814313i
\(35\) 2581.40 0.0602075
\(36\) −20766.4 + 35968.4i −0.445095 + 0.770928i
\(37\) −44165.0 + 25498.7i −0.871914 + 0.503399i −0.867984 0.496593i \(-0.834584\pi\)
−0.00392986 + 0.999992i \(0.501251\pi\)
\(38\) −12433.4 21535.3i −0.226589 0.392464i
\(39\) 1142.38i 0.0192583i
\(40\) −2714.97 4702.46i −0.0424214 0.0734759i
\(41\) −68362.2 −0.991892 −0.495946 0.868353i \(-0.665179\pi\)
−0.495946 + 0.868353i \(0.665179\pi\)
\(42\) 257.673i 0.00347793i
\(43\) −38156.7 + 69752.6i −0.479916 + 0.877314i
\(44\) 96447.5 1.13223
\(45\) 12361.2i 0.135651i
\(46\) −13733.2 + 7928.89i −0.141091 + 0.0814590i
\(47\) −143367. −1.38088 −0.690440 0.723389i \(-0.742583\pi\)
−0.690440 + 0.723389i \(0.742583\pi\)
\(48\) −1553.59 + 896.963i −0.0140479 + 0.00811056i
\(49\) −47249.4 81838.3i −0.401613 0.695614i
\(50\) 35131.1 + 20283.0i 0.281049 + 0.162264i
\(51\) 1549.58i 0.0116817i
\(52\) 50852.7 88079.5i 0.361663 0.626419i
\(53\) 4028.49 + 6977.56i 0.0270592 + 0.0468679i 0.879238 0.476383i \(-0.158052\pi\)
−0.852179 + 0.523251i \(0.824719\pi\)
\(54\) −2468.46 −0.0156763
\(55\) 24859.4 14352.6i 0.149418 0.0862666i
\(56\) 24348.1 42172.2i 0.138644 0.240138i
\(57\) −3009.86 + 5213.23i −0.0162526 + 0.0281503i
\(58\) 5544.67 9603.65i 0.0284179 0.0492212i
\(59\) 270265. 1.31593 0.657966 0.753048i \(-0.271417\pi\)
0.657966 + 0.753048i \(0.271417\pi\)
\(60\) −309.619 + 536.276i −0.00143342 + 0.00248276i
\(61\) 195636. + 112951.i 0.861906 + 0.497621i 0.864650 0.502375i \(-0.167540\pi\)
−0.00274431 + 0.999996i \(0.500874\pi\)
\(62\) 53877.8 31106.4i 0.226066 0.130519i
\(63\) −96004.5 + 55428.2i −0.383946 + 0.221671i
\(64\) 105535. 0.402585
\(65\) 30270.1i 0.110223i
\(66\) 1432.66 + 2481.45i 0.00498325 + 0.00863124i
\(67\) −69735.4 120785.i −0.231862 0.401596i 0.726494 0.687172i \(-0.241148\pi\)
−0.958356 + 0.285576i \(0.907815\pi\)
\(68\) 68979.3 119476.i 0.219377 0.379973i
\(69\) 3324.53 + 1919.42i 0.0101201 + 0.00584281i
\(70\) 6827.66i 0.0199057i
\(71\) −501487. 289534.i −1.40115 0.808954i −0.406639 0.913589i \(-0.633299\pi\)
−0.994511 + 0.104634i \(0.966633\pi\)
\(72\) 201944. + 116593.i 0.541046 + 0.312373i
\(73\) 357004. + 206116.i 0.917707 + 0.529838i 0.882903 0.469556i \(-0.155586\pi\)
0.0348041 + 0.999394i \(0.488919\pi\)
\(74\) 67442.7 + 116814.i 0.166433 + 0.288271i
\(75\) 9820.16i 0.0232774i
\(76\) 464131. 267966.i 1.05730 0.610435i
\(77\) 222942. + 128716.i 0.488337 + 0.281942i
\(78\) 3021.53 0.00636713
\(79\) −387632. + 671399.i −0.786210 + 1.36176i 0.142063 + 0.989858i \(0.454626\pi\)
−0.928273 + 0.371898i \(0.878707\pi\)
\(80\) 41166.0 23767.2i 0.0804023 0.0464203i
\(81\) −265272. 459465.i −0.499157 0.864565i
\(82\) 180814.i 0.327938i
\(83\) −234913. 406881.i −0.410840 0.711596i 0.584142 0.811652i \(-0.301431\pi\)
−0.994982 + 0.100056i \(0.968098\pi\)
\(84\) −5553.40 −0.00936960
\(85\) 41059.9i 0.0668593i
\(86\) 184492. + 100922.i 0.290056 + 0.158669i
\(87\) −2684.49 −0.00407666
\(88\) 541504.i 0.794609i
\(89\) −511098. + 295082.i −0.724993 + 0.418575i −0.816588 0.577221i \(-0.804137\pi\)
0.0915945 + 0.995796i \(0.470804\pi\)
\(90\) 32694.7 0.0448487
\(91\) 235096. 135733.i 0.311976 0.180119i
\(92\) −170885. 295981.i −0.219452 0.380102i
\(93\) −13042.7 7530.20i −0.0162150 0.00936176i
\(94\) 379198.i 0.456544i
\(95\) 79753.5 138137.i 0.0930206 0.161116i
\(96\) 8929.96 + 15467.1i 0.0100934 + 0.0174822i
\(97\) −1.06433e6 −1.16617 −0.583087 0.812410i \(-0.698155\pi\)
−0.583087 + 0.812410i \(0.698155\pi\)
\(98\) −216458. + 124972.i −0.229983 + 0.132781i
\(99\) −616364. + 1.06757e6i −0.635231 + 1.10025i
\(100\) −437142. + 757152.i −0.437142 + 0.757152i
\(101\) −192136. + 332789.i −0.186485 + 0.323002i −0.944076 0.329728i \(-0.893043\pi\)
0.757591 + 0.652730i \(0.226376\pi\)
\(102\) 4098.57 0.00386217
\(103\) −215586. + 373405.i −0.197291 + 0.341719i −0.947649 0.319313i \(-0.896548\pi\)
0.750358 + 0.661032i \(0.229881\pi\)
\(104\) −494521. 285512.i −0.439628 0.253819i
\(105\) −1431.39 + 826.416i −0.00123649 + 0.000713889i
\(106\) 18455.3 10655.2i 0.0154954 0.00894627i
\(107\) 810838. 0.661885 0.330943 0.943651i \(-0.392633\pi\)
0.330943 + 0.943651i \(0.392633\pi\)
\(108\) 53200.6i 0.0422323i
\(109\) −517362. 896097.i −0.399498 0.691951i 0.594166 0.804343i \(-0.297482\pi\)
−0.993664 + 0.112392i \(0.964149\pi\)
\(110\) −37961.9 65751.9i −0.0285213 0.0494004i
\(111\) 16326.4 28278.2i 0.0119378 0.0206768i
\(112\) 369181. + 213147.i 0.262776 + 0.151714i
\(113\) 555376.i 0.384903i −0.981306 0.192452i \(-0.938356\pi\)
0.981306 0.192452i \(-0.0616439\pi\)
\(114\) 13788.7 + 7960.92i 0.00930700 + 0.00537340i
\(115\) −88091.3 50859.6i −0.0579215 0.0334410i
\(116\) 206979. + 119499.i 0.132603 + 0.0765583i
\(117\) 649965. + 1.12577e6i 0.405819 + 0.702899i
\(118\) 714835.i 0.435071i
\(119\) 318896. 184115.i 0.189238 0.109257i
\(120\) 3010.92 + 1738.35i 0.00174243 + 0.00100599i
\(121\) 1.09108e6 0.615889
\(122\) 298748. 517447.i 0.164523 0.284962i
\(123\) 37907.1 21885.7i 0.0203707 0.0117610i
\(124\) 670409. + 1.16118e6i 0.351621 + 0.609025i
\(125\) 525301.i 0.268954i
\(126\) 146605. + 253927.i 0.0732886 + 0.126940i
\(127\) 841586. 0.410854 0.205427 0.978672i \(-0.434142\pi\)
0.205427 + 0.978672i \(0.434142\pi\)
\(128\) 2.06433e6i 0.984350i
\(129\) −1172.79 50893.7i −0.000546327 0.0237080i
\(130\) −80062.8 −0.0364419
\(131\) 297380.i 0.132281i 0.997810 + 0.0661405i \(0.0210685\pi\)
−0.997810 + 0.0661405i \(0.978931\pi\)
\(132\) −53480.5 + 30877.0i −0.0232527 + 0.0134250i
\(133\) 1.43048e6 0.608031
\(134\) −319470. + 184446.i −0.132775 + 0.0766577i
\(135\) −7916.92 13712.5i −0.00321777 0.00557334i
\(136\) −670794. 387283.i −0.266669 0.153961i
\(137\) 4.08224e6i 1.58758i −0.608189 0.793792i \(-0.708104\pi\)
0.608189 0.793792i \(-0.291896\pi\)
\(138\) 5076.75 8793.20i 0.00193174 0.00334587i
\(139\) 392933. + 680580.i 0.146310 + 0.253417i 0.929861 0.367911i \(-0.119927\pi\)
−0.783551 + 0.621328i \(0.786594\pi\)
\(140\) 147151. 0.0536263
\(141\) 79497.6 45898.0i 0.0283594 0.0163733i
\(142\) −765801. + 1.32641e6i −0.267455 + 0.463246i
\(143\) 1.50935e6 2.61428e6i 0.516158 0.894012i
\(144\) −1.02067e6 + 1.76785e6i −0.341819 + 0.592048i
\(145\) 71132.1 0.0233325
\(146\) 545166. 944255.i 0.175174 0.303411i
\(147\) 52399.9 + 30253.1i 0.0164960 + 0.00952397i
\(148\) −2.51760e6 + 1.45353e6i −0.776606 + 0.448374i
\(149\) 4.99758e6 2.88535e6i 1.51078 0.872248i 0.510857 0.859665i \(-0.329328\pi\)
0.999921 0.0125828i \(-0.00400535\pi\)
\(150\) −25973.8 −0.00769594
\(151\) 3.18513e6i 0.925116i 0.886589 + 0.462558i \(0.153068\pi\)
−0.886589 + 0.462558i \(0.846932\pi\)
\(152\) −1.50449e6 2.60586e6i −0.428410 0.742028i
\(153\) 881647. + 1.52706e6i 0.246162 + 0.426364i
\(154\) 340446. 589670.i 0.0932151 0.161453i
\(155\) 345597. + 199531.i 0.0928058 + 0.0535814i
\(156\) 65120.5i 0.0171532i
\(157\) 5.14816e6 + 2.97229e6i 1.33031 + 0.768055i 0.985347 0.170562i \(-0.0545583\pi\)
0.344963 + 0.938616i \(0.387892\pi\)
\(158\) 1.77581e6 + 1.02527e6i 0.450221 + 0.259935i
\(159\) −4467.63 2579.39i −0.00111144 0.000641690i
\(160\) −236621. 409839.i −0.0577687 0.100058i
\(161\) 912228.i 0.218588i
\(162\) −1.21526e6 + 701631.i −0.285841 + 0.165030i
\(163\) −5.84870e6 3.37675e6i −1.35051 0.779715i −0.362185 0.932106i \(-0.617969\pi\)
−0.988320 + 0.152391i \(0.951303\pi\)
\(164\) −3.89694e6 −0.883470
\(165\) −9189.77 + 15917.1i −0.00204575 + 0.00354334i
\(166\) −1.07618e6 + 621332.i −0.235267 + 0.135831i
\(167\) −2.47160e6 4.28093e6i −0.530674 0.919155i −0.999359 0.0357896i \(-0.988605\pi\)
0.468685 0.883365i \(-0.344728\pi\)
\(168\) 31179.5i 0.00657569i
\(169\) 821768. + 1.42334e6i 0.170251 + 0.294883i
\(170\) −108601. −0.0221049
\(171\) 6.84993e6i 1.36993i
\(172\) −2.17509e6 + 3.97620e6i −0.427457 + 0.781417i
\(173\) −2.70120e6 −0.521697 −0.260848 0.965380i \(-0.584002\pi\)
−0.260848 + 0.965380i \(0.584002\pi\)
\(174\) 7100.34i 0.00134782i
\(175\) −2.02094e6 + 1.16679e6i −0.377085 + 0.217710i
\(176\) 4.74039e6 0.869514
\(177\) −149863. + 86523.3i −0.0270255 + 0.0156032i
\(178\) 780477. + 1.35183e6i 0.138389 + 0.239696i
\(179\) −2.84429e6 1.64215e6i −0.495924 0.286322i 0.231105 0.972929i \(-0.425766\pi\)
−0.727029 + 0.686607i \(0.759099\pi\)
\(180\) 704640.i 0.120823i
\(181\) −1.67543e6 + 2.90193e6i −0.282547 + 0.489385i −0.972011 0.234934i \(-0.924513\pi\)
0.689465 + 0.724319i \(0.257846\pi\)
\(182\) −359006. 621816.i −0.0595508 0.103145i
\(183\) −144641. −0.0236015
\(184\) −1.66178e6 + 959429.i −0.266760 + 0.154014i
\(185\) −432608. + 749300.i −0.0683250 + 0.118342i
\(186\) −19917.0 + 34497.2i −0.00309517 + 0.00536099i
\(187\) 2.04736e6 3.54614e6i 0.313091 0.542289i
\(188\) −8.17254e6 −1.22994
\(189\) 70999.8 122975.i 0.0105165 0.0182151i
\(190\) −365365. 210944.i −0.0532680 0.0307543i
\(191\) −950199. + 548598.i −0.136369 + 0.0787324i −0.566632 0.823971i \(-0.691754\pi\)
0.430264 + 0.902703i \(0.358421\pi\)
\(192\) −58519.7 + 33786.3i −0.00826796 + 0.00477351i
\(193\) −3.58054e6 −0.498054 −0.249027 0.968497i \(-0.580111\pi\)
−0.249027 + 0.968497i \(0.580111\pi\)
\(194\) 2.81511e6i 0.385558i
\(195\) 9690.76 + 16784.9i 0.00130693 + 0.00226368i
\(196\) −2.69342e6 4.66513e6i −0.357713 0.619578i
\(197\) 3.35427e6 5.80976e6i 0.438731 0.759905i −0.558861 0.829262i \(-0.688761\pi\)
0.997592 + 0.0693566i \(0.0220946\pi\)
\(198\) 2.82367e6 + 1.63025e6i 0.363763 + 0.210019i
\(199\) 1.46542e6i 0.185953i −0.995668 0.0929767i \(-0.970362\pi\)
0.995668 0.0929767i \(-0.0296382\pi\)
\(200\) 4.25102e6 + 2.45433e6i 0.531377 + 0.306791i
\(201\) 77337.0 + 44650.6i 0.00952356 + 0.00549843i
\(202\) 880209. + 508189.i 0.106790 + 0.0616554i
\(203\) 318960. + 552455.i 0.0381284 + 0.0660403i
\(204\) 88332.9i 0.0104048i
\(205\) −1.00444e6 + 579913.i −0.116590 + 0.0673134i
\(206\) 987637. + 570212.i 0.112978 + 0.0652281i
\(207\) 4.36826e6 0.492490
\(208\) 2.49941e6 4.32911e6i 0.277746 0.481070i
\(209\) 1.37758e7 7.95347e6i 1.50896 0.871200i
\(210\) 2185.82 + 3785.96i 0.000236025 + 0.000408807i
\(211\) 1.02849e6i 0.109484i −0.998501 0.0547420i \(-0.982566\pi\)
0.998501 0.0547420i \(-0.0174336\pi\)
\(212\) 229641. + 397750.i 0.0241014 + 0.0417449i
\(213\) 370769. 0.0383675
\(214\) 2.14462e6i 0.218831i
\(215\) 31076.0 + 1.34855e6i 0.00312687 + 0.135691i
\(216\) −298694. −0.0296391
\(217\) 3.57882e6i 0.350236i
\(218\) −2.37013e6 + 1.36839e6i −0.228772 + 0.132081i
\(219\) −263946. −0.0251295
\(220\) 1.41709e6 818160.i 0.133085 0.0768369i
\(221\) −2.15898e6 3.73946e6i −0.200019 0.346443i
\(222\) −74794.4 43182.6i −0.00683613 0.00394684i
\(223\) 1.73589e7i 1.56534i 0.622440 + 0.782668i \(0.286142\pi\)
−0.622440 + 0.782668i \(0.713858\pi\)
\(224\) 2.12204e6 3.67548e6i 0.188803 0.327017i
\(225\) −5.58725e6 9.67740e6i −0.490513 0.849594i
\(226\) −1.46894e6 −0.127256
\(227\) −8.99921e6 + 5.19570e6i −0.769355 + 0.444187i −0.832645 0.553808i \(-0.813174\pi\)
0.0632893 + 0.997995i \(0.479841\pi\)
\(228\) −171575. + 297177.i −0.0144760 + 0.0250732i
\(229\) 5.92972e6 1.02706e7i 0.493774 0.855241i −0.506200 0.862416i \(-0.668950\pi\)
0.999974 + 0.00717446i \(0.00228372\pi\)
\(230\) −134521. + 232997.i −0.0110562 + 0.0191499i
\(231\) −164830. −0.0133721
\(232\) 670928. 1.16208e6i 0.0537294 0.0930621i
\(233\) 1.43862e7 + 8.30586e6i 1.13731 + 0.656624i 0.945762 0.324860i \(-0.105317\pi\)
0.191544 + 0.981484i \(0.438650\pi\)
\(234\) 2.97761e6 1.71912e6i 0.232391 0.134171i
\(235\) −2.10648e6 + 1.21618e6i −0.162313 + 0.0937115i
\(236\) 1.54062e7 1.17209
\(237\) 496391.i 0.0372888i
\(238\) −486974. 843464.i −0.0361223 0.0625656i
\(239\) −5.71300e6 9.89520e6i −0.418476 0.724821i 0.577311 0.816525i \(-0.304102\pi\)
−0.995786 + 0.0917032i \(0.970769\pi\)
\(240\) −15217.8 + 26358.0i −0.00110082 + 0.00190668i
\(241\) 1.47261e7 + 8.50213e6i 1.05205 + 0.607403i 0.923223 0.384264i \(-0.125545\pi\)
0.128829 + 0.991667i \(0.458878\pi\)
\(242\) 2.88586e6i 0.203624i
\(243\) 883395. + 510028.i 0.0615653 + 0.0355448i
\(244\) 1.11521e7 + 6.43867e6i 0.767692 + 0.443227i
\(245\) −1.38846e6 801628.i −0.0944138 0.0545098i
\(246\) −57886.4 100262.i −0.00388840 0.00673491i
\(247\) 1.67741e7i 1.11314i
\(248\) 6.51945e6 3.76400e6i 0.427421 0.246771i
\(249\) 260520. + 150411.i 0.0168750 + 0.00974278i
\(250\) 1.38939e6 0.0889211
\(251\) −1.39856e7 + 2.42238e7i −0.884423 + 1.53186i −0.0380487 + 0.999276i \(0.512114\pi\)
−0.846374 + 0.532589i \(0.821219\pi\)
\(252\) −5.47267e6 + 3.15964e6i −0.341977 + 0.197441i
\(253\) −5.07200e6 8.78496e6i −0.313197 0.542473i
\(254\) 2.22595e6i 0.135836i
\(255\) 13145.0 + 22767.9i 0.000792760 + 0.00137310i
\(256\) 1.29421e6 0.0771410
\(257\) 4.50581e6i 0.265444i −0.991153 0.132722i \(-0.957628\pi\)
0.991153 0.132722i \(-0.0423718\pi\)
\(258\) −134611. + 3101.98i −0.00783829 + 0.000180626i
\(259\) −7.75936e6 −0.446608
\(260\) 1.72552e6i 0.0981751i
\(261\) −2.64547e6 + 1.52736e6i −0.148792 + 0.0859054i
\(262\) 786553. 0.0437345
\(263\) −1.82591e7 + 1.05419e7i −1.00372 + 0.579496i −0.909346 0.416041i \(-0.863417\pi\)
−0.0943709 + 0.995537i \(0.530084\pi\)
\(264\) 173358. + 300266.i 0.00942179 + 0.0163190i
\(265\) 118381. + 68347.0i 0.00636125 + 0.00367267i
\(266\) 3.78353e6i 0.201026i
\(267\) 188937. 327249.i 0.00992621 0.0171927i
\(268\) −3.97521e6 6.88527e6i −0.206517 0.357698i
\(269\) −1.10670e6 −0.0568553 −0.0284277 0.999596i \(-0.509050\pi\)
−0.0284277 + 0.999596i \(0.509050\pi\)
\(270\) −36268.8 + 20939.8i −0.00184265 + 0.00106385i
\(271\) −4.25696e6 + 7.37327e6i −0.213891 + 0.370469i −0.952929 0.303194i \(-0.901947\pi\)
0.739038 + 0.673663i \(0.235280\pi\)
\(272\) 3.39033e6 5.87222e6i 0.168475 0.291807i
\(273\) −86907.7 + 150529.i −0.00427140 + 0.00739829i
\(274\) −1.07973e7 −0.524884
\(275\) −1.29747e7 + 2.24729e7i −0.623879 + 1.08059i
\(276\) 189512. + 109415.i 0.00901384 + 0.00520414i
\(277\) −5.00837e6 + 2.89159e6i −0.235644 + 0.136049i −0.613173 0.789948i \(-0.710107\pi\)
0.377529 + 0.925998i \(0.376774\pi\)
\(278\) 1.80010e6 1.03929e6i 0.0837841 0.0483728i
\(279\) −1.71374e7 −0.789102
\(280\) 826175.i 0.0376355i
\(281\) 481566. + 834097.i 0.0217038 + 0.0375922i 0.876673 0.481086i \(-0.159758\pi\)
−0.854969 + 0.518678i \(0.826424\pi\)
\(282\) −121398. 210267.i −0.00541331 0.00937613i
\(283\) −1.99440e6 + 3.45439e6i −0.0879938 + 0.152410i −0.906663 0.421856i \(-0.861379\pi\)
0.818669 + 0.574265i \(0.194712\pi\)
\(284\) −2.85869e7 1.65047e7i −1.24799 0.720529i
\(285\) 102130.i 0.00441183i
\(286\) −6.91462e6 3.99216e6i −0.295577 0.170651i
\(287\) −9.00792e6 5.20072e6i −0.381047 0.219998i
\(288\) 1.76003e7 + 1.01615e7i 0.736788 + 0.425384i
\(289\) 9.14023e6 + 1.58313e7i 0.378673 + 0.655880i
\(290\) 188141.i 0.00771416i
\(291\) 590178. 340739.i 0.0239499 0.0138275i
\(292\) 2.03507e7 + 1.17495e7i 0.817394 + 0.471923i
\(293\) −1.67538e7 −0.666057 −0.333028 0.942917i \(-0.608070\pi\)
−0.333028 + 0.942917i \(0.608070\pi\)
\(294\) 80017.8 138595.i 0.00314880 0.00545388i
\(295\) 3.97097e6 2.29264e6i 0.154679 0.0893039i
\(296\) 8.16085e6 + 1.41350e7i 0.314674 + 0.545031i
\(297\) 1.57904e6i 0.0602731i
\(298\) −7.63160e6 1.32183e7i −0.288381 0.499491i
\(299\) −1.06970e7 −0.400174
\(300\) 559791.i 0.0207330i
\(301\) −1.03343e7 + 6.28833e6i −0.378950 + 0.230587i
\(302\) 8.42450e6 0.305860
\(303\) 246043.i 0.00884472i
\(304\) 2.28120e7 1.31705e7i 0.811976 0.468795i
\(305\) 3.83262e6 0.135082
\(306\) 4.03898e6 2.33191e6i 0.140964 0.0813855i
\(307\) −2.23703e7 3.87464e7i −0.773136 1.33911i −0.935836 0.352435i \(-0.885354\pi\)
0.162701 0.986676i \(-0.447980\pi\)
\(308\) 1.27087e7 + 7.33734e6i 0.434958 + 0.251123i
\(309\) 276073.i 0.00935725i
\(310\) 527748. 914086.i 0.0177150 0.0306833i
\(311\) 1.69588e7 + 2.93735e7i 0.563785 + 0.976504i 0.997162 + 0.0752913i \(0.0239887\pi\)
−0.433377 + 0.901213i \(0.642678\pi\)
\(312\) 365618. 0.0120383
\(313\) 1.13215e7 6.53648e6i 0.369208 0.213162i −0.303904 0.952703i \(-0.598290\pi\)
0.673112 + 0.739540i \(0.264957\pi\)
\(314\) 7.86154e6 1.36166e7i 0.253933 0.439825i
\(315\) −940390. + 1.62880e6i −0.0300868 + 0.0521119i
\(316\) −2.20967e7 + 3.82726e7i −0.700271 + 1.21290i
\(317\) 5.50253e7 1.72737 0.863684 0.504033i \(-0.168151\pi\)
0.863684 + 0.504033i \(0.168151\pi\)
\(318\) −6822.34 + 11816.6i −0.000212154 + 0.000367462i
\(319\) 6.14332e6 + 3.54685e6i 0.189248 + 0.109262i
\(320\) 1.55062e6 895250.i 0.0473211 0.0273209i
\(321\) −449612. + 259584.i −0.0135932 + 0.00784806i
\(322\) −2.41279e6 −0.0722691
\(323\) 2.27533e7i 0.675207i
\(324\) −1.51217e7 2.61915e7i −0.444595 0.770060i
\(325\) 1.36821e7 + 2.36980e7i 0.398567 + 0.690339i
\(326\) −8.93131e6 + 1.54695e7i −0.257788 + 0.446502i
\(327\) 573758. + 331259.i 0.0164091 + 0.00947381i
\(328\) 2.18793e7i 0.620029i
\(329\) −1.88911e7 1.09068e7i −0.530482 0.306274i
\(330\) 42100.0 + 24306.4i 0.00117149 + 0.000676363i
\(331\) 1.60706e7 + 9.27836e6i 0.443147 + 0.255851i 0.704932 0.709275i \(-0.250978\pi\)
−0.261785 + 0.965126i \(0.584311\pi\)
\(332\) −1.33910e7 2.31940e7i −0.365932 0.633812i
\(333\) 3.71562e7i 1.00623i
\(334\) −1.13228e7 + 6.53724e6i −0.303889 + 0.175451i
\(335\) −2.04923e6 1.18312e6i −0.0545075 0.0314699i
\(336\) −272949. −0.00719556
\(337\) 1.47117e7 2.54814e7i 0.384392 0.665786i −0.607293 0.794478i \(-0.707745\pi\)
0.991685 + 0.128692i \(0.0410779\pi\)
\(338\) 3.76467e6 2.17353e6i 0.0974938 0.0562880i
\(339\) 177800. + 307958.i 0.00456385 + 0.00790483i
\(340\) 2.34059e6i 0.0595510i
\(341\) 1.98983e7 + 3.44649e7i 0.501826 + 0.869188i
\(342\) 1.81177e7 0.452923
\(343\) 3.22787e7i 0.799897i
\(344\) 2.23243e7 + 1.22120e7i 0.548407 + 0.299994i
\(345\) 65129.3 0.00158606
\(346\) 7.14452e6i 0.172482i
\(347\) 1.77642e7 1.02561e7i 0.425164 0.245468i −0.272120 0.962263i \(-0.587725\pi\)
0.697284 + 0.716795i \(0.254392\pi\)
\(348\) −153028. −0.00363105
\(349\) 5.54397e7 3.20081e7i 1.30420 0.752980i 0.323078 0.946372i \(-0.395282\pi\)
0.981122 + 0.193392i \(0.0619489\pi\)
\(350\) 3.08610e6 + 5.34528e6i 0.0719789 + 0.124671i
\(351\) −1.44204e6 832561.i −0.0333469 0.0192528i
\(352\) 4.71943e7i 1.08209i
\(353\) −2.16461e7 + 3.74921e7i −0.492103 + 0.852347i −0.999959 0.00909535i \(-0.997105\pi\)
0.507856 + 0.861442i \(0.330438\pi\)
\(354\) 228849. + 396379.i 0.00515870 + 0.00893513i
\(355\) −9.82440e6 −0.219594
\(356\) −2.91347e7 + 1.68210e7i −0.645745 + 0.372821i
\(357\) −117886. + 204185.i −0.00259095 + 0.00448765i
\(358\) −4.34340e6 + 7.52299e6i −0.0946631 + 0.163961i
\(359\) −2.44464e7 + 4.23424e7i −0.528361 + 0.915149i 0.471092 + 0.882084i \(0.343860\pi\)
−0.999453 + 0.0330645i \(0.989473\pi\)
\(360\) 3.95620e6 0.0847950
\(361\) 2.06723e7 3.58055e7i 0.439408 0.761077i
\(362\) 7.67544e6 + 4.43142e6i 0.161800 + 0.0934151i
\(363\) −605010. + 349303.i −0.0126486 + 0.00730268i
\(364\) 1.34015e7 7.73734e6i 0.277874 0.160431i
\(365\) 6.99389e6 0.143827
\(366\) 382569.i 0.00780308i
\(367\) −2.11258e6 3.65909e6i −0.0427380 0.0740244i 0.843865 0.536555i \(-0.180275\pi\)
−0.886603 + 0.462531i \(0.846941\pi\)
\(368\) −8.39897e6 1.45474e7i −0.168532 0.291906i
\(369\) 2.49040e7 4.31350e7i 0.495667 0.858521i
\(370\) 1.98186e6 + 1.14423e6i 0.0391262 + 0.0225895i
\(371\) 1.22589e6i 0.0240065i
\(372\) −743488. 429253.i −0.0144426 0.00833844i
\(373\) −4.87230e7 2.81303e7i −0.938875 0.542060i −0.0492675 0.998786i \(-0.515689\pi\)
−0.889607 + 0.456726i \(0.849022\pi\)
\(374\) −9.37935e6 5.41517e6i −0.179291 0.103514i
\(375\) −168171. 291281.i −0.00318903 0.00552356i
\(376\) 4.58846e7i 0.863184i
\(377\) 6.47823e6 3.74021e6i 0.120902 0.0698026i
\(378\) −325263. 187791.i −0.00602225 0.00347695i
\(379\) 3.20334e7 0.588417 0.294209 0.955741i \(-0.404944\pi\)
0.294209 + 0.955741i \(0.404944\pi\)
\(380\) 4.54629e6 7.87441e6i 0.0828527 0.143505i
\(381\) −466663. + 269428.i −0.00843778 + 0.00487155i
\(382\) 1.45101e6 + 2.51322e6i 0.0260304 + 0.0450859i
\(383\) 6.33025e7i 1.12674i 0.826204 + 0.563372i \(0.190496\pi\)
−0.826204 + 0.563372i \(0.809504\pi\)
\(384\) 660881. + 1.14468e6i 0.0116716 + 0.0202158i
\(385\) 4.36756e6 0.0765343
\(386\) 9.47032e6i 0.164666i
\(387\) −3.01121e7 4.94865e7i −0.519526 0.853796i
\(388\) −6.06716e7 −1.03870
\(389\) 7.03747e7i 1.19555i 0.801664 + 0.597775i \(0.203948\pi\)
−0.801664 + 0.597775i \(0.796052\pi\)
\(390\) 44395.1 25631.5i 0.000748413 0.000432096i
\(391\) −1.45100e7 −0.242737
\(392\) −2.61923e7 + 1.51222e7i −0.434827 + 0.251047i
\(393\) −95203.9 164898.i −0.00156847 0.00271668i
\(394\) −1.53665e7 8.87185e6i −0.251239 0.145053i
\(395\) 1.31531e7i 0.213420i
\(396\) −3.51354e7 + 6.08562e7i −0.565795 + 0.979985i
\(397\) −2.88012e7 4.98851e7i −0.460297 0.797259i 0.538678 0.842512i \(-0.318924\pi\)
−0.998976 + 0.0452531i \(0.985591\pi\)
\(398\) −3.87597e6 −0.0614796
\(399\) −793204. + 457957.i −0.0124872 + 0.00720951i
\(400\) −2.14855e7 + 3.72140e7i −0.335711 + 0.581469i
\(401\) −1.94172e7 + 3.36316e7i −0.301130 + 0.521572i −0.976392 0.216005i \(-0.930697\pi\)
0.675262 + 0.737578i \(0.264030\pi\)
\(402\) 118098. 204552.i 0.00181788 0.00314866i
\(403\) 4.19662e7 0.641186
\(404\) −1.09526e7 + 1.89704e7i −0.166101 + 0.287695i
\(405\) −7.79524e6 4.50058e6i −0.117345 0.0677491i
\(406\) 1.46121e6 843632.i 0.0218341 0.0126059i
\(407\) −7.47244e7 + 4.31421e7i −1.10836 + 0.639909i
\(408\) 495944. 0.00730217
\(409\) 7.57717e7i 1.10748i −0.832689 0.553741i \(-0.813200\pi\)
0.832689 0.553741i \(-0.186800\pi\)
\(410\) 1.53384e6 + 2.65669e6i 0.0222550 + 0.0385469i
\(411\) 1.30690e6 + 2.26362e6i 0.0188242 + 0.0326045i
\(412\) −1.22893e7 + 2.12857e7i −0.175726 + 0.304366i
\(413\) 3.56121e7 + 2.05607e7i 0.505531 + 0.291868i
\(414\) 1.15538e7i 0.162826i
\(415\) −6.90311e6 3.98551e6i −0.0965829 0.0557622i
\(416\) −4.30996e7 2.48836e7i −0.598678 0.345647i
\(417\) −435766. 251589.i −0.00600959 0.00346964i
\(418\) −2.10365e7 3.64363e7i −0.288035 0.498891i
\(419\) 6.85238e7i 0.931536i 0.884907 + 0.465768i \(0.154222\pi\)
−0.884907 + 0.465768i \(0.845778\pi\)
\(420\) −81595.5 + 47109.2i −0.00110133 + 0.000635855i
\(421\) 3.22707e7 + 1.86315e7i 0.432477 + 0.249691i 0.700401 0.713749i \(-0.253004\pi\)
−0.267925 + 0.963440i \(0.586338\pi\)
\(422\) −2.72029e6 −0.0361974
\(423\) 5.22279e7 9.04614e7i 0.690052 1.19520i
\(424\) 2.23317e6 1.28932e6i 0.0292970 0.0169146i
\(425\) 1.85591e7 + 3.21453e7i 0.241763 + 0.418745i
\(426\) 980663.i 0.0126850i
\(427\) 1.71857e7 + 2.97664e7i 0.220741 + 0.382334i
\(428\) 4.62212e7 0.589535
\(429\) 1.93283e6i 0.0244806i
\(430\) 3.56684e6 82194.3i 0.0448620 0.00103380i
\(431\) −4.56323e7 −0.569955 −0.284978 0.958534i \(-0.591986\pi\)
−0.284978 + 0.958534i \(0.591986\pi\)
\(432\) 2.61481e6i 0.0324331i
\(433\) 6.35332e7 3.66809e7i 0.782594 0.451831i −0.0547545 0.998500i \(-0.517438\pi\)
0.837349 + 0.546669i \(0.184104\pi\)
\(434\) 9.46580e6 0.115794
\(435\) −39443.0 + 22772.4i −0.000479184 + 0.000276657i
\(436\) −2.94918e7 5.10813e7i −0.355830 0.616315i
\(437\) −4.88156e7 2.81837e7i −0.584945 0.337718i
\(438\) 698124.i 0.00830826i
\(439\) −6.69897e7 + 1.16029e8i −0.791798 + 1.37143i 0.133055 + 0.991109i \(0.457521\pi\)
−0.924853 + 0.380325i \(0.875812\pi\)
\(440\) −4.59355e6 7.95626e6i −0.0539250 0.0934009i
\(441\) 6.88509e7 0.802775
\(442\) −9.89067e6 + 5.71038e6i −0.114540 + 0.0661300i
\(443\) 7.12177e7 1.23353e8i 0.819175 1.41885i −0.0871157 0.996198i \(-0.527765\pi\)
0.906291 0.422655i \(-0.138902\pi\)
\(444\) 930677. 1.61198e6i 0.0106329 0.0184167i
\(445\) −5.00634e6 + 8.67123e6i −0.0568120 + 0.0984013i
\(446\) 4.59133e7 0.517529
\(447\) −1.84745e6 + 3.19988e6i −0.0206847 + 0.0358270i
\(448\) 1.39061e7 + 8.02870e6i 0.154658 + 0.0892917i
\(449\) 7.36710e7 4.25340e7i 0.813875 0.469891i −0.0344249 0.999407i \(-0.510960\pi\)
0.848300 + 0.529517i \(0.177627\pi\)
\(450\) −2.55962e7 + 1.47780e7i −0.280891 + 0.162173i
\(451\) −1.15664e8 −1.26087
\(452\) 3.16588e7i 0.342830i
\(453\) −1.01970e6 1.76617e6i −0.0109692 0.0189993i
\(454\) 1.37423e7 + 2.38024e7i 0.146856 + 0.254363i
\(455\) 2.30283e6 3.98862e6i 0.0244471 0.0423436i
\(456\) 1.66849e6 + 963306.i 0.0175967 + 0.0101594i
\(457\) 3.60796e6i 0.0378018i −0.999821 0.0189009i \(-0.993983\pi\)
0.999821 0.0189009i \(-0.00601671\pi\)
\(458\) −2.71651e7 1.56838e7i −0.282758 0.163251i
\(459\) −1.95606e6 1.12933e6i −0.0202275 0.0116784i
\(460\) −5.02158e6 2.89921e6i −0.0515902 0.0297856i
\(461\) 1.97365e7 + 3.41846e7i 0.201450 + 0.348922i 0.948996 0.315289i \(-0.102101\pi\)
−0.747546 + 0.664210i \(0.768768\pi\)
\(462\) 435965.i 0.00442106i
\(463\) 4.58515e7 2.64724e7i 0.461967 0.266717i −0.250904 0.968012i \(-0.580728\pi\)
0.712871 + 0.701295i \(0.247394\pi\)
\(464\) 1.01730e7 + 5.87340e6i 0.101835 + 0.0587943i
\(465\) −255513. −0.00254129
\(466\) 2.19686e7 3.80507e7i 0.217092 0.376014i
\(467\) 1.57817e8 9.11159e7i 1.54955 0.894630i 0.551369 0.834261i \(-0.314106\pi\)
0.998176 0.0603692i \(-0.0192278\pi\)
\(468\) 3.70508e7 + 6.41738e7i 0.361460 + 0.626067i
\(469\) 2.12208e7i 0.205704i
\(470\) 3.21672e6 + 5.57153e6i 0.0309827 + 0.0536637i
\(471\) −3.80623e6 −0.0364277
\(472\) 8.64981e7i 0.822585i
\(473\) −6.45586e7 + 1.18017e8i −0.610058 + 1.11522i
\(474\) −1.31293e6 −0.0123284
\(475\) 1.44194e8i 1.34545i
\(476\) 1.81785e7 1.04953e7i 0.168553 0.0973141i
\(477\) −5.87024e6 −0.0540880
\(478\) −2.61723e7 + 1.51106e7i −0.239639 + 0.138356i
\(479\) −8.31696e7 1.44054e8i −0.756760 1.31075i −0.944495 0.328526i \(-0.893448\pi\)
0.187735 0.982220i \(-0.439885\pi\)
\(480\) 262414. + 151505.i 0.00237281 + 0.00136994i
\(481\) 9.09881e7i 0.817616i
\(482\) 2.24877e7 3.89498e7i 0.200818 0.347828i
\(483\) 292043. + 505834.i 0.00259182 + 0.00448917i
\(484\) 6.21965e7 0.548567
\(485\) −1.56382e7 + 9.02870e6i −0.137076 + 0.0791407i
\(486\) 1.34900e6 2.33653e6i 0.0117517 0.0203546i
\(487\) 8.56164e7 1.48292e8i 0.741259 1.28390i −0.210664 0.977559i \(-0.567562\pi\)
0.951922 0.306339i \(-0.0991042\pi\)
\(488\) 3.61498e7 6.26133e7i 0.311062 0.538775i
\(489\) 4.32417e6 0.0369808
\(490\) −2.12026e6 + 3.67241e6i −0.0180219 + 0.0312149i
\(491\) 1.35259e8 + 7.80921e7i 1.14268 + 0.659724i 0.947092 0.320963i \(-0.104006\pi\)
0.195584 + 0.980687i \(0.437340\pi\)
\(492\) 2.16087e6 1.24758e6i 0.0181440 0.0104754i
\(493\) 8.78741e6 5.07341e6i 0.0733365 0.0423408i
\(494\) −4.43666e7 −0.368024
\(495\) 2.09143e7i 0.172436i
\(496\) 3.29506e7 + 5.70721e7i 0.270034 + 0.467712i
\(497\) −4.40531e7 7.63023e7i −0.358846 0.621539i
\(498\) 397830. 689062.i 0.00322114 0.00557918i
\(499\) −5.27018e7 3.04274e7i −0.424154 0.244886i 0.272699 0.962099i \(-0.412084\pi\)
−0.696853 + 0.717214i \(0.745417\pi\)
\(500\) 2.99444e7i 0.239555i
\(501\) 2.74102e6 + 1.58253e6i 0.0217971 + 0.0125846i
\(502\) 6.40706e7 + 3.69912e7i 0.506463 + 0.292406i
\(503\) 7.31714e7 + 4.22455e7i 0.574959 + 0.331953i 0.759128 0.650942i \(-0.225626\pi\)
−0.184168 + 0.982895i \(0.558959\pi\)
\(504\) 1.77398e7 + 3.07262e7i 0.138566 + 0.240003i
\(505\) 6.51951e6i 0.0506222i
\(506\) −2.32358e7 + 1.34152e7i −0.179352 + 0.103549i
\(507\) −911347. 526167.i −0.00699294 0.00403738i
\(508\) 4.79740e7 0.365944
\(509\) 2.51380e7 4.35403e7i 0.190624 0.330170i −0.754833 0.655917i \(-0.772282\pi\)
0.945457 + 0.325746i \(0.105616\pi\)
\(510\) 60219.8 34767.9i 0.000453972 0.000262101i
\(511\) 3.13610e7 + 5.43188e7i 0.235032 + 0.407087i
\(512\) 1.35540e8i 1.00985i
\(513\) −4.38715e6 7.59876e6i −0.0324960 0.0562847i
\(514\) −1.19176e7 −0.0877608
\(515\) 7.31521e6i 0.0535556i
\(516\) −66854.2 2.90116e6i −0.000486609 0.0211165i
\(517\) −2.42568e8 −1.75534
\(518\) 2.05231e7i 0.147657i
\(519\) 1.49782e6 864769.i 0.0107142 0.00618583i
\(520\) −9.68794e6 −0.0689003
\(521\) −2.44211e8 + 1.40995e8i −1.72684 + 0.996989i −0.824649 + 0.565645i \(0.808627\pi\)
−0.902187 + 0.431345i \(0.858039\pi\)
\(522\) 4.03979e6 + 6.99712e6i 0.0284019 + 0.0491935i
\(523\) −3.96187e7 2.28739e7i −0.276946 0.159895i 0.355094 0.934831i \(-0.384449\pi\)
−0.632040 + 0.774936i \(0.717782\pi\)
\(524\) 1.69519e7i 0.117821i
\(525\) 747079. 1.29398e6i 0.00516284 0.00894230i
\(526\) 2.78827e7 + 4.82942e7i 0.191592 + 0.331847i
\(527\) 5.69251e7 0.388931
\(528\) −2.62857e6 + 1.51760e6i −0.0178574 + 0.0103099i
\(529\) 5.60449e7 9.70727e7i 0.378590 0.655737i
\(530\) 180774. 313110.i 0.00121425 0.00210315i
\(531\) −9.84561e7 + 1.70531e8i −0.657596 + 1.13899i
\(532\) 8.15432e7 0.541568
\(533\) −6.09850e7 + 1.05629e8i −0.402755 + 0.697593i
\(534\) −865555. 499728.i −0.00568422 0.00328179i
\(535\) 1.19136e7 6.87830e6i 0.0778001 0.0449179i
\(536\) −3.86573e7 + 2.23188e7i −0.251036 + 0.144936i
\(537\) 2.10289e6 0.0135798
\(538\) 2.92715e6i 0.0187974i
\(539\) −7.99429e7 1.38465e8i −0.510521 0.884248i
\(540\) −451298. 781671.i −0.00286604 0.00496413i
\(541\) −7.93433e7 + 1.37427e8i −0.501093 + 0.867919i 0.498906 + 0.866656i \(0.333735\pi\)
−0.999999 + 0.00126265i \(0.999598\pi\)
\(542\) 1.95019e7 + 1.12594e7i 0.122484 + 0.0707161i
\(543\) 2.14551e6i 0.0134008i
\(544\) −5.84626e7 3.37534e7i −0.363146 0.209662i
\(545\) −1.52031e7 8.77751e6i −0.0939166 0.0542228i
\(546\) 398140. + 229866.i 0.00244601 + 0.00141220i
\(547\) −8.78352e7 1.52135e8i −0.536669 0.929538i −0.999081 0.0428726i \(-0.986349\pi\)
0.462411 0.886665i \(-0.346984\pi\)
\(548\) 2.32705e8i 1.41405i
\(549\) −1.42539e8 + 8.22947e7i −0.861421 + 0.497342i
\(550\) 5.94396e7 + 3.43175e7i 0.357263 + 0.206266i
\(551\) 3.94177e7 0.235633
\(552\) 614309. 1.06401e6i 0.00365233 0.00632601i
\(553\) −1.02155e8 + 5.89790e7i −0.604064 + 0.348757i
\(554\) 7.64809e6 + 1.32469e7i 0.0449804 + 0.0779084i
\(555\) 553986.i 0.00324056i
\(556\) 2.23989e7 + 3.87960e7i 0.130317 + 0.225716i
\(557\) −8.90236e7 −0.515157 −0.257578 0.966257i \(-0.582925\pi\)
−0.257578 + 0.966257i \(0.582925\pi\)
\(558\) 4.53276e7i 0.260892i
\(559\) 7.37385e7 + 1.21183e8i 0.422142 + 0.693754i
\(560\) 7.23245e6 0.0411833
\(561\) 2.62180e6i 0.0148494i
\(562\) 2.20614e6 1.27372e6i 0.0124287 0.00717569i
\(563\) −5.61396e7 −0.314589 −0.157295 0.987552i \(-0.550277\pi\)
−0.157295 + 0.987552i \(0.550277\pi\)
\(564\) 4.53170e6 2.61638e6i 0.0252595 0.0145836i
\(565\) −4.71123e6 8.16009e6i −0.0261209 0.0452428i
\(566\) 9.13669e6 + 5.27507e6i 0.0503894 + 0.0290924i
\(567\) 8.07234e7i 0.442844i
\(568\) −9.26652e7 + 1.60501e8i −0.505675 + 0.875855i
\(569\) −1.74972e8 3.03061e8i −0.949800 1.64510i −0.745842 0.666123i \(-0.767953\pi\)
−0.203958 0.978980i \(-0.565381\pi\)
\(570\) 270129. 0.00145863
\(571\) −2.20836e8 + 1.27500e8i −1.18621 + 0.684860i −0.957443 0.288621i \(-0.906803\pi\)
−0.228769 + 0.973481i \(0.573470\pi\)
\(572\) 8.60395e7 1.49025e8i 0.459737 0.796289i
\(573\) 351259. 608399.i 0.00186708 0.00323388i
\(574\) −1.37556e7 + 2.38255e7i −0.0727353 + 0.125981i
\(575\) 9.19540e7 0.483690
\(576\) −3.84460e7 + 6.65904e7i −0.201179 + 0.348453i
\(577\) 2.67246e8 + 1.54295e8i 1.39118 + 0.803200i 0.993446 0.114299i \(-0.0364622\pi\)
0.397737 + 0.917499i \(0.369796\pi\)
\(578\) 4.18731e7 2.41754e7i 0.216846 0.125196i
\(579\) 1.98542e6 1.14628e6i 0.0102286 0.00590549i
\(580\) 4.05483e6 0.0207821
\(581\) 7.14850e7i 0.364491i
\(582\) −901237. 1.56099e6i −0.00457162 0.00791827i
\(583\) 6.81595e6 + 1.18056e7i 0.0343970 + 0.0595774i
\(584\) 6.59674e7 1.14259e8i 0.331200 0.573656i
\(585\) 1.90998e7 + 1.10272e7i 0.0954026 + 0.0550807i
\(586\) 4.43130e7i 0.220210i
\(587\) 1.99940e7 + 1.15435e7i 0.0988518 + 0.0570721i 0.548611 0.836078i \(-0.315157\pi\)
−0.449759 + 0.893150i \(0.648490\pi\)
\(588\) 2.98702e6 + 1.72456e6i 0.0146928 + 0.00848292i
\(589\) 1.91512e8 + 1.10570e8i 0.937239 + 0.541115i
\(590\) −6.06391e6 1.05030e7i −0.0295255 0.0511396i
\(591\) 4.29538e6i 0.0208084i
\(592\) −1.23740e8 + 7.14412e7i −0.596409 + 0.344337i
\(593\) 3.23510e8 + 1.86779e8i 1.55140 + 0.895701i 0.998028 + 0.0627658i \(0.0199921\pi\)
0.553371 + 0.832935i \(0.313341\pi\)
\(594\) −4.17647e6 −0.0199274
\(595\) 3.12368e6 5.41037e6i 0.0148291 0.0256848i
\(596\) 2.84883e8 1.64477e8i 1.34564 0.776904i
\(597\) 469145. + 812583.i 0.00220488 + 0.00381896i
\(598\) 2.82930e7i 0.132305i
\(599\) −8.55309e7 1.48144e8i −0.397963 0.689292i 0.595512 0.803347i \(-0.296949\pi\)
−0.993474 + 0.114055i \(0.963616\pi\)
\(600\) −3.14294e6 −0.0145507
\(601\) 4.18374e8i 1.92726i −0.267231 0.963632i \(-0.586109\pi\)
0.267231 0.963632i \(-0.413891\pi\)
\(602\) 1.66323e7 + 2.73337e7i 0.0762364 + 0.125288i
\(603\) 1.01617e8 0.463462
\(604\) 1.81566e8i 0.823993i
\(605\) 1.60312e7 9.25562e6i 0.0723935 0.0417964i
\(606\) −650772. −0.00292423
\(607\) 1.81315e8 1.04682e8i 0.810715 0.468067i −0.0364889 0.999334i \(-0.511617\pi\)
0.847204 + 0.531267i \(0.178284\pi\)
\(608\) −1.31123e8 2.27112e8i −0.583402 1.01048i
\(609\) −353729. 204226.i −0.00156610 0.000904187i
\(610\) 1.01371e7i 0.0446604i
\(611\) −1.27896e8 + 2.21522e8i −0.560703 + 0.971166i
\(612\) 5.02576e7 + 8.70487e7i 0.219254 + 0.379759i
\(613\) −3.59742e8 −1.56174 −0.780872 0.624691i \(-0.785225\pi\)
−0.780872 + 0.624691i \(0.785225\pi\)
\(614\) −1.02482e8 + 5.91681e7i −0.442734 + 0.255613i
\(615\) 371310. 643128.i 0.00159629 0.00276485i
\(616\) 4.11954e7 7.13526e7i 0.176241 0.305258i
\(617\) −1.69186e8 + 2.93039e8i −0.720292 + 1.24758i 0.240590 + 0.970627i \(0.422659\pi\)
−0.960883 + 0.276956i \(0.910674\pi\)
\(618\) −730198. −0.00309368
\(619\) 7.46156e7 1.29238e8i 0.314599 0.544902i −0.664753 0.747063i \(-0.731463\pi\)
0.979352 + 0.202161i \(0.0647965\pi\)
\(620\) 1.97005e7 + 1.13741e7i 0.0826613 + 0.0477245i
\(621\) −4.84580e6 + 2.79772e6i −0.0202344 + 0.0116823i
\(622\) 7.76913e7 4.48551e7i 0.322850 0.186398i
\(623\) −8.97948e7 −0.371353
\(624\) 3.20067e6i 0.0131731i
\(625\) −1.15365e8 1.99819e8i −0.472537 0.818458i
\(626\) −1.72886e7 2.99448e7i −0.0704754 0.122067i
\(627\) −5.09249e6 + 8.82046e6i −0.0206599 + 0.0357840i
\(628\) 2.93467e8 + 1.69433e8i 1.18490 + 0.684100i
\(629\) 1.23421e8i 0.495949i
\(630\) 4.30810e6 + 2.48728e6i 0.0172291 + 0.00994725i
\(631\) 2.88097e8 + 1.66333e8i 1.14670 + 0.662048i 0.948081 0.318028i \(-0.103021\pi\)
0.198620 + 0.980077i \(0.436354\pi\)
\(632\) 2.14881e8 + 1.24062e8i 0.851230 + 0.491458i
\(633\) 329262. + 570299.i 0.00129817 + 0.00224849i
\(634\) 1.45539e8i 0.571100i
\(635\) 1.23653e7 7.13914e6i 0.0482931 0.0278820i
\(636\) −254674. 147036.i −0.000989950 0.000571548i
\(637\) −1.68602e8 −0.652296
\(638\) 9.38122e6 1.62487e7i 0.0361241 0.0625688i
\(639\) 3.65378e8 2.10951e8i 1.40036 0.808499i
\(640\) −1.75116e7 3.03310e7i −0.0668015 0.115704i
\(641\) 4.49116e7i 0.170524i 0.996359 + 0.0852618i \(0.0271727\pi\)
−0.996359 + 0.0852618i \(0.972827\pi\)
\(642\) 686585. + 1.18920e6i 0.00259471 + 0.00449418i
\(643\) 4.64966e8 1.74900 0.874498 0.485030i \(-0.161191\pi\)
0.874498 + 0.485030i \(0.161191\pi\)
\(644\) 5.20009e7i 0.194694i
\(645\) −448960. 737827.i −0.00167313 0.00274964i
\(646\) −6.01812e7 −0.223236
\(647\) 8.86037e7i 0.327144i −0.986531 0.163572i \(-0.947698\pi\)
0.986531 0.163572i \(-0.0523016\pi\)
\(648\) −1.47052e8 + 8.49003e7i −0.540437 + 0.312021i
\(649\) 4.57270e8 1.67278
\(650\) 6.26800e7 3.61883e7i 0.228239 0.131774i
\(651\) −1.14573e6 1.98447e6i −0.00415280 0.00719286i
\(652\) −3.33401e8 1.92489e8i −1.20288 0.694485i
\(653\) 2.34811e8i 0.843293i −0.906760 0.421647i \(-0.861452\pi\)
0.906760 0.421647i \(-0.138548\pi\)
\(654\) 876163. 1.51756e6i 0.00313221 0.00542516i
\(655\) 2.52266e6 + 4.36937e6i 0.00897706 + 0.0155487i
\(656\) −1.91534e8 −0.678477
\(657\) −2.60109e8 + 1.50174e8i −0.917191 + 0.529540i
\(658\) −2.88479e7 + 4.99660e7i −0.101260 + 0.175387i
\(659\) 1.39292e8 2.41261e8i 0.486710 0.843007i −0.513173 0.858285i \(-0.671530\pi\)
0.999883 + 0.0152783i \(0.00486343\pi\)
\(660\) −523856. + 907345.i −0.00182213 + 0.00315603i
\(661\) 3.76809e7 0.130472 0.0652360 0.997870i \(-0.479220\pi\)
0.0652360 + 0.997870i \(0.479220\pi\)
\(662\) 2.45408e7 4.25059e7i 0.0845890 0.146513i
\(663\) 2.39432e6 + 1.38236e6i 0.00821565 + 0.00474331i
\(664\) −1.30222e8 + 7.51838e7i −0.444816 + 0.256815i
\(665\) 2.10178e7 1.21347e7i 0.0714699 0.0412632i
\(666\) −9.82761e7 −0.332679
\(667\) 2.51370e7i 0.0847104i
\(668\) −1.40892e8 2.44031e8i −0.472667 0.818684i
\(669\) −5.55733e6 9.62557e6i −0.0185604 0.0321476i
\(670\) −3.12930e6 + 5.42010e6i −0.0104045 + 0.0180212i
\(671\) 3.31004e8 + 1.91105e8i 1.09563 + 0.632565i
\(672\) 2.71742e6i 0.00895467i
\(673\) −1.83395e8 1.05883e8i −0.601648 0.347362i 0.168042 0.985780i \(-0.446256\pi\)
−0.769690 + 0.638418i \(0.779589\pi\)
\(674\) −6.73971e7 3.89117e7i −0.220121 0.127087i
\(675\) 1.23961e7 + 7.15689e6i 0.0403063 + 0.0232709i
\(676\) 4.68443e7 + 8.11367e7i 0.151641 + 0.262650i
\(677\) 4.10967e7i 0.132447i 0.997805 + 0.0662233i \(0.0210950\pi\)
−0.997805 + 0.0662233i \(0.978905\pi\)
\(678\) 814532. 470271.i 0.00261348 0.00150889i
\(679\) −1.40245e8 8.09704e7i −0.447999 0.258653i
\(680\) −1.31412e7 −0.0417935
\(681\) 3.32673e6 5.76207e6i 0.0105336 0.0182447i
\(682\) 9.11578e7 5.26300e7i 0.287369 0.165913i
\(683\) 6.45063e7 + 1.11728e8i 0.202461 + 0.350672i 0.949321 0.314309i \(-0.101773\pi\)
−0.746860 + 0.664981i \(0.768440\pi\)
\(684\) 3.90475e8i 1.22018i
\(685\) −3.46294e7 5.99799e7i −0.107739 0.186610i
\(686\) −8.53755e7 −0.264460
\(687\) 7.59344e6i 0.0234190i
\(688\) −1.06906e8 + 1.95430e8i −0.328274 + 0.600103i
\(689\) 1.43751e7 0.0439493
\(690\) 172263.i 0.000524380i
\(691\) 5.46960e7 3.15788e7i 0.165776 0.0957108i −0.414817 0.909905i \(-0.636154\pi\)
0.580593 + 0.814194i \(0.302821\pi\)
\(692\) −1.53980e8 −0.464671
\(693\) −1.62433e8 + 9.37810e7i −0.488063 + 0.281783i
\(694\) −2.71269e7 4.69852e7i −0.0811563 0.140567i
\(695\) 1.15467e7 + 6.66647e6i 0.0343955 + 0.0198583i
\(696\) 859172.i 0.00254831i
\(697\) −8.27232e7 + 1.43281e8i −0.244303 + 0.423146i
\(698\) −8.46597e7 1.46635e8i −0.248949 0.431192i
\(699\) −1.06362e7 −0.0311428
\(700\) −1.15202e8 + 6.65120e7i −0.335866 + 0.193913i
\(701\) −9.31980e7 + 1.61424e8i −0.270553 + 0.468612i −0.969004 0.247047i \(-0.920540\pi\)
0.698450 + 0.715658i \(0.253873\pi\)
\(702\) −2.20208e6 + 3.81411e6i −0.00636534 + 0.0110251i
\(703\) −2.39729e8 + 4.15223e8i −0.690009 + 1.19513i
\(704\) 1.78559e8 0.511756
\(705\) 778700. 1.34875e6i 0.00222230 0.00384914i
\(706\) 9.91647e7 + 5.72528e7i 0.281801 + 0.162698i
\(707\) −5.06345e7 + 2.92338e7i −0.143281 + 0.0827233i
\(708\) −8.54281e6 + 4.93220e6i −0.0240714 + 0.0138976i
\(709\) −5.82949e8 −1.63565 −0.817827 0.575464i \(-0.804822\pi\)
−0.817827 + 0.575464i \(0.804822\pi\)
\(710\) 2.59850e7i 0.0726019i
\(711\) −2.82425e8 4.89175e8i −0.785768 1.36099i
\(712\) 9.44410e7 + 1.63577e8i 0.261650 + 0.453191i
\(713\) 7.05112e7 1.22129e8i 0.194531 0.336938i
\(714\) 540058. + 311803.i 0.00148370 + 0.000856614i
\(715\) 5.12151e7i 0.140113i
\(716\) −1.62137e8 9.36096e7i −0.441715 0.255024i
\(717\) 6.33576e6 + 3.65795e6i 0.0171886 + 0.00992385i
\(718\) 1.11993e8 + 6.46593e7i 0.302565 + 0.174686i
\(719\) 4.40297e7 + 7.62617e7i 0.118457 + 0.205173i 0.919156 0.393893i \(-0.128872\pi\)
−0.800700 + 0.599066i \(0.795539\pi\)
\(720\) 3.46331e7i 0.0927883i
\(721\) −5.68144e7 + 3.28018e7i −0.151584 + 0.0875169i
\(722\) −9.47037e7 5.46772e7i −0.251626 0.145276i
\(723\) −1.08876e7 −0.0288082
\(724\) −9.55066e7 + 1.65422e8i −0.251662 + 0.435891i
\(725\) −5.56883e7 + 3.21517e7i −0.146134 + 0.0843703i
\(726\) 923887. + 1.60022e6i 0.00241440 + 0.00418186i
\(727\) 1.49064e8i 0.387944i −0.981007 0.193972i \(-0.937863\pi\)
0.981007 0.193972i \(-0.0621371\pi\)
\(728\) −4.34412e7 7.52424e7i −0.112592 0.195015i
\(729\) 3.86114e8 0.996627
\(730\) 1.84985e7i 0.0475518i
\(731\) 1.00023e8 + 1.64379e8i 0.256063 + 0.420817i
\(732\) −8.24517e6 −0.0210216
\(733\) 6.87787e8i 1.74639i 0.487369 + 0.873196i \(0.337957\pi\)
−0.487369 + 0.873196i \(0.662043\pi\)
\(734\) −9.67810e6 + 5.58765e6i −0.0244738 + 0.0141300i
\(735\) 1.02654e6 0.00258532
\(736\) −1.44831e8 + 8.36183e7i −0.363269 + 0.209734i
\(737\) −1.17988e8 2.04361e8i −0.294737 0.510499i
\(738\) −1.14090e8 6.58698e7i −0.283843 0.163877i
\(739\) 5.13587e8i 1.27257i −0.771455 0.636284i \(-0.780471\pi\)
0.771455 0.636284i \(-0.219529\pi\)
\(740\) −2.46605e7 + 4.27133e7i −0.0608565 + 0.105407i
\(741\) 5.37011e6 + 9.30131e6i 0.0131986 + 0.0228607i
\(742\) 3.24241e6 0.00793699
\(743\) −1.44913e8 + 8.36657e7i −0.353298 + 0.203977i −0.666137 0.745829i \(-0.732053\pi\)
0.312839 + 0.949806i \(0.398720\pi\)
\(744\) −2.41004e6 + 4.17431e6i −0.00585201 + 0.0101360i
\(745\) 4.89526e7 8.47884e7i 0.118388 0.205054i
\(746\) −7.44030e7 + 1.28870e8i −0.179215 + 0.310409i
\(747\) 3.42310e8 0.821218
\(748\) 1.16708e8 2.02145e8i 0.278867 0.483012i
\(749\) 1.06842e8 + 6.16853e7i 0.254271 + 0.146803i
\(750\) −770423. + 444804.i −0.00182619 + 0.00105435i
\(751\) 2.31638e8 1.33736e8i 0.546878 0.315740i −0.200984 0.979595i \(-0.564414\pi\)
0.747862 + 0.663854i \(0.231080\pi\)
\(752\) −4.01680e8 −0.944554
\(753\) 1.79096e7i 0.0419469i
\(754\) −9.89264e6 1.71346e7i −0.0230780 0.0399723i
\(755\) 2.70193e7 + 4.67988e7i 0.0627817 + 0.108741i
\(756\) 4.04729e6 7.01011e6i 0.00936696 0.0162241i
\(757\) 6.90604e8 + 3.98720e8i 1.59199 + 0.919138i 0.992965 + 0.118411i \(0.0377800\pi\)
0.599029 + 0.800727i \(0.295553\pi\)
\(758\) 8.47266e7i 0.194542i
\(759\) 5.62489e6 + 3.24753e6i 0.0128644 + 0.00742725i
\(760\) −4.42108e7 2.55251e7i −0.100713 0.0581469i
\(761\) 7.23998e8 + 4.18000e8i 1.64279 + 0.948468i 0.979834 + 0.199814i \(0.0640339\pi\)
0.662961 + 0.748654i \(0.269299\pi\)
\(762\) 712622. + 1.23430e6i 0.00161062 + 0.00278968i
\(763\) 1.57435e8i 0.354428i
\(764\) −5.41654e7 + 3.12724e7i −0.121462 + 0.0701263i