Properties

Label 43.7.d.a.7.2
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 7.2
Character \(\chi\) \(=\) 43.7
Dual form 43.7.d.a.37.20

$q$-expansion

\(f(q)\) \(=\) \(q-13.4327i q^{2} +(-34.2137 + 19.7533i) q^{3} -116.436 q^{4} +(-28.7813 + 16.6169i) q^{5} +(265.339 + 459.580i) q^{6} +(-186.356 - 107.593i) q^{7} +704.357i q^{8} +(415.884 - 720.332i) q^{9} +O(q^{10})\) \(q-13.4327i q^{2} +(-34.2137 + 19.7533i) q^{3} -116.436 q^{4} +(-28.7813 + 16.6169i) q^{5} +(265.339 + 459.580i) q^{6} +(-186.356 - 107.593i) q^{7} +704.357i q^{8} +(415.884 - 720.332i) q^{9} +(223.209 + 386.609i) q^{10} +2280.97 q^{11} +(3983.71 - 2300.00i) q^{12} +(-344.553 + 596.783i) q^{13} +(-1445.25 + 2503.25i) q^{14} +(656.477 - 1137.05i) q^{15} +2009.47 q^{16} +(-510.165 + 883.632i) q^{17} +(-9675.97 - 5586.42i) q^{18} +(461.539 - 266.470i) q^{19} +(3351.19 - 1934.81i) q^{20} +8501.22 q^{21} -30639.4i q^{22} +(4197.86 + 7270.91i) q^{23} +(-13913.4 - 24098.6i) q^{24} +(-7260.26 + 12575.1i) q^{25} +(8016.38 + 4628.26i) q^{26} +4060.00i q^{27} +(21698.6 + 12527.7i) q^{28} +(32834.8 + 18957.2i) q^{29} +(-15273.6 - 8818.22i) q^{30} +(12094.9 + 20949.0i) q^{31} +18086.4i q^{32} +(-78040.2 + 45056.5i) q^{33} +(11869.5 + 6852.87i) q^{34} +7151.42 q^{35} +(-48423.9 + 83872.7i) q^{36} +(72457.4 - 41833.3i) q^{37} +(-3579.40 - 6199.70i) q^{38} -27224.2i q^{39} +(-11704.2 - 20272.3i) q^{40} +60086.6 q^{41} -114194. i q^{42} +(-41240.2 + 67975.0i) q^{43} -265587. q^{44} +27642.8i q^{45} +(97667.6 - 56388.4i) q^{46} -184275. q^{47} +(-68751.3 + 39693.6i) q^{48} +(-35672.2 - 61786.0i) q^{49} +(168917. + 97524.5i) q^{50} -40309.7i q^{51} +(40118.4 - 69487.1i) q^{52} +(12397.3 + 21472.8i) q^{53} +54536.6 q^{54} +(-65649.2 + 37902.6i) q^{55} +(75783.6 - 131261. i) q^{56} +(-10527.3 + 18233.8i) q^{57} +(254645. - 441059. i) q^{58} -337081. q^{59} +(-76437.6 + 132394. i) q^{60} +(63285.7 + 36538.0i) q^{61} +(281401. - 162467. i) q^{62} +(-155005. + 89492.0i) q^{63} +371554. q^{64} -22901.6i q^{65} +(605229. + 1.04829e6i) q^{66} +(237419. + 411222. i) q^{67} +(59401.7 - 102887. i) q^{68} +(-287248. - 165843. i) q^{69} -96062.5i q^{70} +(176789. + 102069. i) q^{71} +(507371. + 292931. i) q^{72} +(185566. + 107136. i) q^{73} +(-561932. - 973295. i) q^{74} -573655. i q^{75} +(-53739.9 + 31026.7i) q^{76} +(-425071. - 245415. i) q^{77} -365693. q^{78} +(-55152.9 + 95527.6i) q^{79} +(-57835.2 + 33391.1i) q^{80} +(222981. + 386215. i) q^{81} -807122. i q^{82} +(-183481. - 317798. i) q^{83} -989850. q^{84} -33909.5i q^{85} +(913085. + 553966. i) q^{86} -1.49787e6 q^{87} +1.60661e6i q^{88} +(1.00926e6 - 582695. i) q^{89} +371316. q^{90} +(128419. - 74142.6i) q^{91} +(-488783. - 846596. i) q^{92} +(-827623. - 477828. i) q^{93} +2.47530e6i q^{94} +(-8855.80 + 15338.7i) q^{95} +(-357265. - 618801. i) q^{96} +597055. q^{97} +(-829950. + 479172. i) q^{98} +(948617. - 1.64305e6i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 13.4327i 1.67908i −0.543297 0.839541i \(-0.682824\pi\)
0.543297 0.839541i \(-0.317176\pi\)
\(3\) −34.2137 + 19.7533i −1.26717 + 0.731603i −0.974452 0.224595i \(-0.927894\pi\)
−0.292721 + 0.956198i \(0.594561\pi\)
\(4\) −116.436 −1.81932
\(5\) −28.7813 + 16.6169i −0.230251 + 0.132935i −0.610688 0.791872i \(-0.709107\pi\)
0.380437 + 0.924807i \(0.375774\pi\)
\(6\) 265.339 + 459.580i 1.22842 + 2.12769i
\(7\) −186.356 107.593i −0.543311 0.313681i 0.203109 0.979156i \(-0.434896\pi\)
−0.746420 + 0.665475i \(0.768229\pi\)
\(8\) 704.357i 1.37570i
\(9\) 415.884 720.332i 0.570485 0.988110i
\(10\) 223.209 + 386.609i 0.223209 + 0.386609i
\(11\) 2280.97 1.71372 0.856861 0.515547i \(-0.172411\pi\)
0.856861 + 0.515547i \(0.172411\pi\)
\(12\) 3983.71 2300.00i 2.30539 1.33102i
\(13\) −344.553 + 596.783i −0.156829 + 0.271635i −0.933723 0.357995i \(-0.883460\pi\)
0.776895 + 0.629631i \(0.216794\pi\)
\(14\) −1445.25 + 2503.25i −0.526696 + 0.912264i
\(15\) 656.477 1137.05i 0.194512 0.336904i
\(16\) 2009.47 0.490593
\(17\) −510.165 + 883.632i −0.103840 + 0.179856i −0.913264 0.407369i \(-0.866446\pi\)
0.809424 + 0.587225i \(0.199780\pi\)
\(18\) −9675.97 5586.42i −1.65912 0.957892i
\(19\) 461.539 266.470i 0.0672896 0.0388497i −0.465978 0.884796i \(-0.654297\pi\)
0.533267 + 0.845947i \(0.320964\pi\)
\(20\) 3351.19 1934.81i 0.418898 0.241851i
\(21\) 8501.22 0.917959
\(22\) 30639.4i 2.87748i
\(23\) 4197.86 + 7270.91i 0.345020 + 0.597592i 0.985357 0.170502i \(-0.0545388\pi\)
−0.640337 + 0.768094i \(0.721205\pi\)
\(24\) −13913.4 24098.6i −1.00646 1.74325i
\(25\) −7260.26 + 12575.1i −0.464656 + 0.804809i
\(26\) 8016.38 + 4628.26i 0.456098 + 0.263328i
\(27\) 4060.00i 0.206269i
\(28\) 21698.6 + 12527.7i 0.988455 + 0.570685i
\(29\) 32834.8 + 18957.2i 1.34630 + 0.777284i 0.987723 0.156217i \(-0.0499300\pi\)
0.358573 + 0.933502i \(0.383263\pi\)
\(30\) −15273.6 8818.22i −0.565689 0.326601i
\(31\) 12094.9 + 20949.0i 0.405992 + 0.703199i 0.994436 0.105339i \(-0.0335927\pi\)
−0.588444 + 0.808538i \(0.700259\pi\)
\(32\) 18086.4i 0.551952i
\(33\) −78040.2 + 45056.5i −2.17158 + 1.25376i
\(34\) 11869.5 + 6852.87i 0.301993 + 0.174356i
\(35\) 7151.42 0.166797
\(36\) −48423.9 + 83872.7i −1.03789 + 1.79768i
\(37\) 72457.4 41833.3i 1.43047 0.825880i 0.433309 0.901245i \(-0.357346\pi\)
0.997156 + 0.0753657i \(0.0240124\pi\)
\(38\) −3579.40 6199.70i −0.0652317 0.112985i
\(39\) 27224.2i 0.458945i
\(40\) −11704.2 20272.3i −0.182879 0.316755i
\(41\) 60086.6 0.871818 0.435909 0.899991i \(-0.356427\pi\)
0.435909 + 0.899991i \(0.356427\pi\)
\(42\) 114194.i 1.54133i
\(43\) −41240.2 + 67975.0i −0.518699 + 0.854957i
\(44\) −265587. −3.11780
\(45\) 27642.8i 0.303350i
\(46\) 97667.6 56388.4i 1.00341 0.579317i
\(47\) −184275. −1.77490 −0.887449 0.460906i \(-0.847524\pi\)
−0.887449 + 0.460906i \(0.847524\pi\)
\(48\) −68751.3 + 39693.6i −0.621666 + 0.358919i
\(49\) −35672.2 61786.0i −0.303209 0.525173i
\(50\) 168917. + 97524.5i 1.35134 + 0.780196i
\(51\) 40309.7i 0.303878i
\(52\) 40118.4 69487.1i 0.285321 0.494190i
\(53\) 12397.3 + 21472.8i 0.0832722 + 0.144232i 0.904654 0.426148i \(-0.140130\pi\)
−0.821381 + 0.570379i \(0.806796\pi\)
\(54\) 54536.6 0.346343
\(55\) −65649.2 + 37902.6i −0.394586 + 0.227814i
\(56\) 75783.6 131261.i 0.431530 0.747432i
\(57\) −10527.3 + 18233.8i −0.0568450 + 0.0984585i
\(58\) 254645. 441059.i 1.30512 2.26054i
\(59\) −337081. −1.64126 −0.820631 0.571458i \(-0.806378\pi\)
−0.820631 + 0.571458i \(0.806378\pi\)
\(60\) −76437.6 + 132394.i −0.353878 + 0.612934i
\(61\) 63285.7 + 36538.0i 0.278815 + 0.160974i 0.632887 0.774244i \(-0.281870\pi\)
−0.354072 + 0.935218i \(0.615203\pi\)
\(62\) 281401. 162467.i 1.18073 0.681694i
\(63\) −155005. + 89492.0i −0.619902 + 0.357901i
\(64\) 371554. 1.41736
\(65\) 22901.6i 0.0833922i
\(66\) 605229. + 1.04829e6i 2.10517 + 3.64627i
\(67\) 237419. + 411222.i 0.789389 + 1.36726i 0.926342 + 0.376684i \(0.122936\pi\)
−0.136953 + 0.990578i \(0.543731\pi\)
\(68\) 59401.7 102887.i 0.188917 0.327215i
\(69\) −287248. 165843.i −0.874400 0.504835i
\(70\) 96062.5i 0.280066i
\(71\) 176789. + 102069.i 0.493947 + 0.285180i 0.726210 0.687473i \(-0.241280\pi\)
−0.232264 + 0.972653i \(0.574613\pi\)
\(72\) 507371. + 292931.i 1.35934 + 0.784815i
\(73\) 185566. + 107136.i 0.477011 + 0.275403i 0.719170 0.694834i \(-0.244522\pi\)
−0.242159 + 0.970237i \(0.577855\pi\)
\(74\) −561932. 973295.i −1.38672 2.40187i
\(75\) 573655.i 1.35978i
\(76\) −53739.9 + 31026.7i −0.122421 + 0.0706798i
\(77\) −425071. 245415.i −0.931085 0.537562i
\(78\) −365693. −0.770607
\(79\) −55152.9 + 95527.6i −0.111863 + 0.193753i −0.916521 0.399986i \(-0.869015\pi\)
0.804658 + 0.593738i \(0.202348\pi\)
\(80\) −57835.2 + 33391.1i −0.112959 + 0.0652171i
\(81\) 222981. + 386215.i 0.419578 + 0.726731i
\(82\) 807122.i 1.46385i
\(83\) −183481. 317798.i −0.320891 0.555799i 0.659782 0.751457i \(-0.270649\pi\)
−0.980672 + 0.195659i \(0.937315\pi\)
\(84\) −989850. −1.67006
\(85\) 33909.5i 0.0552159i
\(86\) 913085. + 553966.i 1.43554 + 0.870939i
\(87\) −1.49787e6 −2.27465
\(88\) 1.60661e6i 2.35756i
\(89\) 1.00926e6 582695.i 1.43163 0.826554i 0.434388 0.900726i \(-0.356965\pi\)
0.997245 + 0.0741721i \(0.0236314\pi\)
\(90\) 371316. 0.509350
\(91\) 128419. 74142.6i 0.170414 0.0983883i
\(92\) −488783. 846596.i −0.627700 1.08721i
\(93\) −827623. 477828.i −1.02892 0.594050i
\(94\) 2.47530e6i 2.98020i
\(95\) −8855.80 + 15338.7i −0.0103290 + 0.0178903i
\(96\) −357265. 618801.i −0.403809 0.699418i
\(97\) 597055. 0.654183 0.327091 0.944993i \(-0.393931\pi\)
0.327091 + 0.944993i \(0.393931\pi\)
\(98\) −829950. + 479172.i −0.881808 + 0.509112i
\(99\) 948617. 1.64305e6i 0.977654 1.69335i
\(100\) 845357. 1.46420e6i 0.845357 1.46420i
\(101\) −85244.4 + 147648.i −0.0827374 + 0.143305i −0.904425 0.426633i \(-0.859700\pi\)
0.821687 + 0.569938i \(0.193033\pi\)
\(102\) −541467. −0.510236
\(103\) 315136. 545831.i 0.288394 0.499513i −0.685033 0.728512i \(-0.740212\pi\)
0.973427 + 0.229000i \(0.0735454\pi\)
\(104\) −420348. 242688.i −0.373688 0.215749i
\(105\) −244676. + 141264.i −0.211361 + 0.122029i
\(106\) 288436. 166529.i 0.242177 0.139821i
\(107\) −419567. −0.342491 −0.171246 0.985228i \(-0.554779\pi\)
−0.171246 + 0.985228i \(0.554779\pi\)
\(108\) 472731.i 0.375269i
\(109\) 1.03317e6 + 1.78950e6i 0.797797 + 1.38183i 0.921048 + 0.389450i \(0.127335\pi\)
−0.123251 + 0.992376i \(0.539332\pi\)
\(110\) 509132. + 881843.i 0.382518 + 0.662541i
\(111\) −1.65269e6 + 2.86254e6i −1.20843 + 2.09307i
\(112\) −374476. 216204.i −0.266545 0.153890i
\(113\) 2.11250e6i 1.46407i 0.681269 + 0.732033i \(0.261428\pi\)
−0.681269 + 0.732033i \(0.738572\pi\)
\(114\) 244929. + 141410.i 0.165320 + 0.0954475i
\(115\) −241640. 139511.i −0.158882 0.0917306i
\(116\) −3.82316e6 2.20730e6i −2.44934 1.41413i
\(117\) 286588. + 496385.i 0.178937 + 0.309928i
\(118\) 4.52789e6i 2.75581i
\(119\) 190144. 109780.i 0.112835 0.0651452i
\(120\) 800890. + 462394.i 0.463478 + 0.267589i
\(121\) 3.43124e6 1.93685
\(122\) 490803. 850095.i 0.270288 0.468153i
\(123\) −2.05578e6 + 1.18691e6i −1.10474 + 0.637824i
\(124\) −1.40829e6 2.43922e6i −0.738628 1.27934i
\(125\) 1.00185e6i 0.512947i
\(126\) 1.20212e6 + 2.08212e6i 0.600945 + 1.04087i
\(127\) −1.58926e6 −0.775860 −0.387930 0.921689i \(-0.626810\pi\)
−0.387930 + 0.921689i \(0.626810\pi\)
\(128\) 3.83343e6i 1.82792i
\(129\) 68250.3 3.14031e6i 0.0317933 1.46286i
\(130\) −307629. −0.140022
\(131\) 1.21908e6i 0.542272i 0.962541 + 0.271136i \(0.0873994\pi\)
−0.962541 + 0.271136i \(0.912601\pi\)
\(132\) 9.08670e6 5.24621e6i 3.95080 2.28099i
\(133\) −114681. −0.0487456
\(134\) 5.52380e6 3.18917e6i 2.29574 1.32545i
\(135\) −67464.6 116852.i −0.0274205 0.0474936i
\(136\) −622393. 359339.i −0.247427 0.142852i
\(137\) 2.59314e6i 1.00847i 0.863566 + 0.504236i \(0.168226\pi\)
−0.863566 + 0.504236i \(0.831774\pi\)
\(138\) −2.22771e6 + 3.85851e6i −0.847660 + 1.46819i
\(139\) −1.29534e6 2.24359e6i −0.482324 0.835409i 0.517471 0.855701i \(-0.326874\pi\)
−0.999794 + 0.0202921i \(0.993540\pi\)
\(140\) −832684. −0.303456
\(141\) 6.30473e6 3.64004e6i 2.24910 1.29852i
\(142\) 1.37106e6 2.37474e6i 0.478841 0.829377i
\(143\) −785913. + 1.36124e6i −0.268761 + 0.465508i
\(144\) 835706. 1.44748e6i 0.279876 0.484760i
\(145\) −1.26004e6 −0.413314
\(146\) 1.43912e6 2.49264e6i 0.462424 0.800941i
\(147\) 2.44095e6 + 1.40928e6i 0.768436 + 0.443656i
\(148\) −8.43666e6 + 4.87091e6i −2.60247 + 1.50254i
\(149\) 425916. 245902.i 0.128755 0.0743368i −0.434239 0.900798i \(-0.642983\pi\)
0.562994 + 0.826461i \(0.309649\pi\)
\(150\) −7.70572e6 −2.28317
\(151\) 2.20416e6i 0.640194i −0.947385 0.320097i \(-0.896284\pi\)
0.947385 0.320097i \(-0.103716\pi\)
\(152\) 187690. + 325088.i 0.0534454 + 0.0925701i
\(153\) 424339. + 734977.i 0.118478 + 0.205210i
\(154\) −3.29657e6 + 5.70983e6i −0.902611 + 1.56337i
\(155\) −696215. 401960.i −0.186960 0.107941i
\(156\) 3.16988e6i 0.834966i
\(157\) −3.23711e6 1.86895e6i −0.836486 0.482945i 0.0195824 0.999808i \(-0.493766\pi\)
−0.856068 + 0.516863i \(0.827100\pi\)
\(158\) 1.28319e6 + 740849.i 0.325326 + 0.187827i
\(159\) −848315. 489775.i −0.211041 0.121844i
\(160\) −300539. 520549.i −0.0733738 0.127087i
\(161\) 1.80663e6i 0.432905i
\(162\) 5.18789e6 2.99523e6i 1.22024 0.704506i
\(163\) 2.06958e6 + 1.19488e6i 0.477882 + 0.275905i 0.719533 0.694458i \(-0.244356\pi\)
−0.241652 + 0.970363i \(0.577689\pi\)
\(164\) −6.99625e6 −1.58611
\(165\) 1.49740e6 2.59357e6i 0.333339 0.577360i
\(166\) −4.26888e6 + 2.46464e6i −0.933231 + 0.538801i
\(167\) 3.46617e6 + 6.00358e6i 0.744219 + 1.28902i 0.950559 + 0.310544i \(0.100511\pi\)
−0.206341 + 0.978480i \(0.566155\pi\)
\(168\) 5.98790e6i 1.26283i
\(169\) 2.17597e6 + 3.76889e6i 0.450810 + 0.780825i
\(170\) −455494. −0.0927120
\(171\) 443282.i 0.0886526i
\(172\) 4.80186e6 7.91475e6i 0.943678 1.55544i
\(173\) −6.27112e6 −1.21118 −0.605588 0.795778i \(-0.707062\pi\)
−0.605588 + 0.795778i \(0.707062\pi\)
\(174\) 2.01203e7i 3.81933i
\(175\) 2.70598e6 1.56230e6i 0.504906 0.291508i
\(176\) 4.58353e6 0.840740
\(177\) 1.15328e7 6.65845e6i 2.07976 1.20075i
\(178\) −7.82714e6 1.35570e7i −1.38785 2.40383i
\(179\) 2.94237e6 + 1.69878e6i 0.513024 + 0.296194i 0.734076 0.679068i \(-0.237616\pi\)
−0.221052 + 0.975262i \(0.570949\pi\)
\(180\) 3.21862e6i 0.551890i
\(181\) −2.64704e6 + 4.58480e6i −0.446400 + 0.773187i −0.998149 0.0608231i \(-0.980627\pi\)
0.551749 + 0.834010i \(0.313961\pi\)
\(182\) −995932. 1.72500e6i −0.165202 0.286138i
\(183\) −2.88698e6 −0.471076
\(184\) −5.12131e6 + 2.95679e6i −0.822106 + 0.474643i
\(185\) −1.39028e6 + 2.40803e6i −0.219577 + 0.380318i
\(186\) −6.41850e6 + 1.11172e7i −0.997458 + 1.72765i
\(187\) −1.16367e6 + 2.01553e6i −0.177953 + 0.308223i
\(188\) 2.14563e7 3.22910
\(189\) 436826. 756604.i 0.0647028 0.112068i
\(190\) 206039. + 118957.i 0.0300393 + 0.0173432i
\(191\) 6.62469e6 3.82476e6i 0.950747 0.548914i 0.0574344 0.998349i \(-0.481708\pi\)
0.893313 + 0.449435i \(0.148375\pi\)
\(192\) −1.27122e7 + 7.33940e6i −1.79605 + 1.03695i
\(193\) 2.20910e6 0.307287 0.153643 0.988126i \(-0.450899\pi\)
0.153643 + 0.988126i \(0.450899\pi\)
\(194\) 8.02003e6i 1.09843i
\(195\) 452381. + 783548.i 0.0610100 + 0.105672i
\(196\) 4.15353e6 + 7.19413e6i 0.551632 + 0.955455i
\(197\) 4.19215e6 7.26102e6i 0.548325 0.949727i −0.450064 0.892996i \(-0.648599\pi\)
0.998390 0.0567309i \(-0.0180677\pi\)
\(198\) −2.20705e7 1.27424e7i −2.84327 1.64156i
\(199\) 512118.i 0.0649846i 0.999472 + 0.0324923i \(0.0103444\pi\)
−0.999472 + 0.0324923i \(0.989656\pi\)
\(200\) −8.85738e6 5.11381e6i −1.10717 0.639227i
\(201\) −1.62460e7 9.37961e6i −2.00059 1.15504i
\(202\) 1.98330e6 + 1.14506e6i 0.240621 + 0.138923i
\(203\) −4.07930e6 7.06556e6i −0.487639 0.844615i
\(204\) 4.69351e6i 0.552850i
\(205\) −1.72937e6 + 998452.i −0.200737 + 0.115895i
\(206\) −7.33196e6 4.23311e6i −0.838723 0.484237i
\(207\) 6.98329e6 0.787316
\(208\) −692368. + 1.19922e6i −0.0769391 + 0.133262i
\(209\) 1.05275e6 607808.i 0.115316 0.0665775i
\(210\) 1.89755e6 + 3.28665e6i 0.204897 + 0.354892i
\(211\) 6.84447e6i 0.728606i −0.931280 0.364303i \(-0.881307\pi\)
0.931280 0.364303i \(-0.118693\pi\)
\(212\) −1.44350e6 2.50021e6i −0.151498 0.262403i
\(213\) −8.06480e6 −0.834555
\(214\) 5.63589e6i 0.575071i
\(215\) 57413.7 2.64170e6i 0.00577697 0.265808i
\(216\) −2.85969e6 −0.283764
\(217\) 5.20529e6i 0.509408i
\(218\) 2.40378e7 1.38782e7i 2.32020 1.33957i
\(219\) −8.46517e6 −0.805941
\(220\) 7.64394e6 4.41323e6i 0.717876 0.414466i
\(221\) −351558. 608916.i −0.0325701 0.0564131i
\(222\) 3.84515e7 + 2.22000e7i 3.51443 + 2.02906i
\(223\) 4.17594e6i 0.376565i 0.982115 + 0.188282i \(0.0602920\pi\)
−0.982115 + 0.188282i \(0.939708\pi\)
\(224\) 1.94596e6 3.37050e6i 0.173137 0.299882i
\(225\) 6.03885e6 + 1.04596e7i 0.530159 + 0.918263i
\(226\) 2.83764e7 2.45829
\(227\) −1.26093e7 + 7.27995e6i −1.07798 + 0.622374i −0.930351 0.366669i \(-0.880498\pi\)
−0.147631 + 0.989042i \(0.547165\pi\)
\(228\) 1.22576e6 2.12308e6i 0.103419 0.179127i
\(229\) −8.13601e6 + 1.40920e7i −0.677494 + 1.17345i 0.298240 + 0.954491i \(0.403601\pi\)
−0.975733 + 0.218963i \(0.929733\pi\)
\(230\) −1.87400e6 + 3.24586e6i −0.154023 + 0.266776i
\(231\) 1.93910e7 1.57313
\(232\) −1.33526e7 + 2.31274e7i −1.06931 + 1.85210i
\(233\) −1.73953e7 1.00432e7i −1.37519 0.793968i −0.383617 0.923492i \(-0.625322\pi\)
−0.991576 + 0.129524i \(0.958655\pi\)
\(234\) 6.66776e6 3.84963e6i 0.520394 0.300450i
\(235\) 5.30368e6 3.06208e6i 0.408671 0.235946i
\(236\) 3.92484e7 2.98597
\(237\) 4.35780e6i 0.327357i
\(238\) −1.47464e6 2.55415e6i −0.109384 0.189459i
\(239\) 672637. + 1.16504e6i 0.0492705 + 0.0853391i 0.889609 0.456723i \(-0.150977\pi\)
−0.840338 + 0.542062i \(0.817644\pi\)
\(240\) 1.31917e6 2.28487e6i 0.0954260 0.165283i
\(241\) 1.29744e6 + 749077.i 0.0926906 + 0.0535150i 0.545629 0.838027i \(-0.316291\pi\)
−0.452938 + 0.891542i \(0.649624\pi\)
\(242\) 4.60907e7i 3.25212i
\(243\) −1.78212e7 1.02891e7i −1.24199 0.717064i
\(244\) −7.36875e6 4.25435e6i −0.507252 0.292862i
\(245\) 2.05338e6 + 1.18552e6i 0.139628 + 0.0806142i
\(246\) 1.59433e7 + 2.76146e7i 1.07096 + 1.85496i
\(247\) 367251.i 0.0243710i
\(248\) −1.47556e7 + 8.51914e6i −0.967389 + 0.558522i
\(249\) 1.25551e7 + 7.24870e6i 0.813248 + 0.469529i
\(250\) −1.34575e7 −0.861280
\(251\) −9.90039e6 + 1.71480e7i −0.626082 + 1.08441i 0.362248 + 0.932082i \(0.382009\pi\)
−0.988331 + 0.152324i \(0.951324\pi\)
\(252\) 1.80482e7 1.04201e7i 1.12780 0.651134i
\(253\) 9.57517e6 + 1.65847e7i 0.591269 + 1.02411i
\(254\) 2.13480e7i 1.30273i
\(255\) 669823. + 1.16017e6i 0.0403961 + 0.0699681i
\(256\) −2.77136e7 −1.65186
\(257\) 4.61676e6i 0.271981i −0.990710 0.135990i \(-0.956578\pi\)
0.990710 0.135990i \(-0.0434216\pi\)
\(258\) −4.21826e7 916783.i −2.45626 0.0533835i
\(259\) −1.80038e7 −1.03625
\(260\) 2.66657e6i 0.151717i
\(261\) 2.73109e7 1.57680e7i 1.53608 0.886859i
\(262\) 1.63754e7 0.910519
\(263\) −2.42967e7 + 1.40277e7i −1.33561 + 0.771116i −0.986153 0.165836i \(-0.946968\pi\)
−0.349459 + 0.936952i \(0.613634\pi\)
\(264\) −3.17359e7 5.49682e7i −1.72480 2.98744i
\(265\) −713622. 412010.i −0.0383469 0.0221396i
\(266\) 1.54047e6i 0.0818478i
\(267\) −2.30203e7 + 3.98723e7i −1.20942 + 2.09477i
\(268\) −2.76442e7 4.78811e7i −1.43615 2.48748i
\(269\) 3.37371e7 1.73321 0.866605 0.498995i \(-0.166298\pi\)
0.866605 + 0.498995i \(0.166298\pi\)
\(270\) −1.56963e6 + 906229.i −0.0797457 + 0.0460412i
\(271\) −1.02486e6 + 1.77510e6i −0.0514938 + 0.0891899i −0.890623 0.454742i \(-0.849732\pi\)
0.839130 + 0.543932i \(0.183065\pi\)
\(272\) −1.02516e6 + 1.77563e6i −0.0509431 + 0.0882361i
\(273\) −2.92912e6 + 5.07338e6i −0.143962 + 0.249350i
\(274\) 3.48327e7 1.69331
\(275\) −1.65604e7 + 2.86834e7i −0.796292 + 1.37922i
\(276\) 3.34461e7 + 1.93101e7i 1.59081 + 0.918455i
\(277\) 6.24176e6 3.60368e6i 0.293676 0.169554i −0.345923 0.938263i \(-0.612434\pi\)
0.639598 + 0.768709i \(0.279101\pi\)
\(278\) −3.01374e7 + 1.73998e7i −1.40272 + 0.809861i
\(279\) 2.01203e7 0.926450
\(280\) 5.03715e6i 0.229462i
\(281\) −1.29567e7 2.24416e7i −0.583949 1.01143i −0.995006 0.0998190i \(-0.968174\pi\)
0.411057 0.911610i \(-0.365160\pi\)
\(282\) −4.88954e7 8.46893e7i −2.18032 3.77643i
\(283\) 2.13899e7 3.70483e7i 0.943732 1.63459i 0.185462 0.982651i \(-0.440622\pi\)
0.758270 0.651941i \(-0.226045\pi\)
\(284\) −2.05846e7 1.18845e7i −0.898645 0.518833i
\(285\) 699725.i 0.0302268i
\(286\) 1.82851e7 + 1.05569e7i 0.781625 + 0.451272i
\(287\) −1.11975e7 6.46487e6i −0.473668 0.273473i
\(288\) 1.30282e7 + 7.52182e6i 0.545389 + 0.314880i
\(289\) 1.15482e7 + 2.00022e7i 0.478435 + 0.828673i
\(290\) 1.69257e7i 0.693988i
\(291\) −2.04275e7 + 1.17938e7i −0.828963 + 0.478602i
\(292\) −2.16065e7 1.24745e7i −0.867834 0.501044i
\(293\) −3.37586e7 −1.34209 −0.671045 0.741416i \(-0.734154\pi\)
−0.671045 + 0.741416i \(0.734154\pi\)
\(294\) 1.89304e7 3.27885e7i 0.744935 1.29027i
\(295\) 9.70163e6 5.60124e6i 0.377902 0.218182i
\(296\) 2.94656e7 + 5.10359e7i 1.13616 + 1.96789i
\(297\) 9.26072e6i 0.353488i
\(298\) −3.30312e6 5.72118e6i −0.124818 0.216190i
\(299\) −5.78553e6 −0.216436
\(300\) 6.67943e7i 2.47386i
\(301\) 1.49990e7 8.23040e6i 0.549999 0.301802i
\(302\) −2.96077e7 −1.07494
\(303\) 6.73542e6i 0.242124i
\(304\) 927449. 535463.i 0.0330118 0.0190594i
\(305\) −2.42859e6 −0.0855964
\(306\) 9.87269e6 5.70000e6i 0.344565 0.198935i
\(307\) 9.16554e6 + 1.58752e7i 0.316769 + 0.548660i 0.979812 0.199921i \(-0.0640686\pi\)
−0.663043 + 0.748582i \(0.730735\pi\)
\(308\) 4.94936e7 + 2.85752e7i 1.69394 + 0.977995i
\(309\) 2.48999e7i 0.843959i
\(310\) −5.39939e6 + 9.35201e6i −0.181242 + 0.313921i
\(311\) 1.76460e7 + 3.05639e7i 0.586633 + 1.01608i 0.994670 + 0.103112i \(0.0328801\pi\)
−0.408037 + 0.912965i \(0.633787\pi\)
\(312\) 1.91755e7 0.631370
\(313\) 3.38567e7 1.95472e7i 1.10411 0.637456i 0.166810 0.985989i \(-0.446653\pi\)
0.937297 + 0.348533i \(0.113320\pi\)
\(314\) −2.51049e7 + 4.34830e7i −0.810905 + 1.40453i
\(315\) 2.97416e6 5.15140e6i 0.0951552 0.164814i
\(316\) 6.42179e6 1.11229e7i 0.203514 0.352497i
\(317\) −2.70915e7 −0.850461 −0.425231 0.905085i \(-0.639807\pi\)
−0.425231 + 0.905085i \(0.639807\pi\)
\(318\) −6.57898e6 + 1.13951e7i −0.204587 + 0.354354i
\(319\) 7.48951e7 + 4.32407e7i 2.30718 + 1.33205i
\(320\) −1.06938e7 + 6.17407e6i −0.326349 + 0.188418i
\(321\) 1.43549e7 8.28782e6i 0.433996 0.250568i
\(322\) −2.42679e7 −0.726883
\(323\) 543774.i 0.0161366i
\(324\) −2.59631e7 4.49693e7i −0.763345 1.32215i
\(325\) −5.00308e6 8.66559e6i −0.145743 0.252434i
\(326\) 1.60503e7 2.78000e7i 0.463267 0.802402i
\(327\) −7.06971e7 4.08170e7i −2.02189 1.16734i
\(328\) 4.23224e7i 1.19936i
\(329\) 3.43407e7 + 1.98266e7i 0.964322 + 0.556752i
\(330\) −3.48386e7 2.01141e7i −0.969434 0.559703i
\(331\) −5.27742e7 3.04692e7i −1.45525 0.840189i −0.456479 0.889734i \(-0.650890\pi\)
−0.998772 + 0.0495451i \(0.984223\pi\)
\(332\) 2.13638e7 + 3.70032e7i 0.583801 + 1.01117i
\(333\) 6.95911e7i 1.88461i
\(334\) 8.06440e7 4.65599e7i 2.16438 1.24960i
\(335\) −1.36665e7 7.89034e6i −0.363514 0.209875i
\(336\) 1.70829e7 0.450344
\(337\) 3.42306e7 5.92892e7i 0.894387 1.54912i 0.0598251 0.998209i \(-0.480946\pi\)
0.834562 0.550914i \(-0.185721\pi\)
\(338\) 5.06262e7 2.92291e7i 1.31107 0.756946i
\(339\) −4.17287e7 7.22763e7i −1.07112 1.85523i
\(340\) 3.94829e6i 0.100455i
\(341\) 2.75881e7 + 4.77839e7i 0.695758 + 1.20509i
\(342\) −5.95445e6 −0.148855
\(343\) 4.06686e7i 1.00780i
\(344\) −4.78787e7 2.90478e7i −1.17616 0.713573i
\(345\) 1.10232e7 0.268442
\(346\) 8.42378e7i 2.03366i
\(347\) −1.58707e6 + 916294.i −0.0379846 + 0.0219304i −0.518872 0.854852i \(-0.673648\pi\)
0.480887 + 0.876782i \(0.340315\pi\)
\(348\) 1.74406e8 4.13831
\(349\) 1.34530e7 7.76710e6i 0.316478 0.182719i −0.333344 0.942805i \(-0.608177\pi\)
0.649822 + 0.760087i \(0.274844\pi\)
\(350\) −2.09858e7 3.63485e7i −0.489465 0.847779i
\(351\) −2.42294e6 1.39888e6i −0.0560300 0.0323490i
\(352\) 4.12543e7i 0.945892i
\(353\) 1.09269e7 1.89260e7i 0.248413 0.430263i −0.714673 0.699459i \(-0.753424\pi\)
0.963086 + 0.269195i \(0.0867578\pi\)
\(354\) −8.94407e7 1.54916e8i −2.01616 3.49209i
\(355\) −6.78429e6 −0.151642
\(356\) −1.17514e8 + 6.78468e7i −2.60459 + 1.50376i
\(357\) −4.33703e6 + 7.51195e6i −0.0953208 + 0.165100i
\(358\) 2.28191e7 3.95238e7i 0.497335 0.861409i
\(359\) −4.88553e6 + 8.46199e6i −0.105591 + 0.182890i −0.913980 0.405760i \(-0.867007\pi\)
0.808388 + 0.588650i \(0.200340\pi\)
\(360\) −1.94704e7 −0.417318
\(361\) −2.33809e7 + 4.04970e7i −0.496981 + 0.860797i
\(362\) 6.15860e7 + 3.55567e7i 1.29824 + 0.749542i
\(363\) −1.17395e8 + 6.77782e7i −2.45432 + 1.41700i
\(364\) −1.49526e7 + 8.63288e6i −0.310036 + 0.178999i
\(365\) −7.12109e6 −0.146443
\(366\) 3.87798e7i 0.790975i
\(367\) −3.95890e7 6.85702e7i −0.800897 1.38719i −0.919026 0.394196i \(-0.871023\pi\)
0.118129 0.992998i \(-0.462310\pi\)
\(368\) 8.43547e6 + 1.46107e7i 0.169264 + 0.293175i
\(369\) 2.49890e7 4.32823e7i 0.497359 0.861452i
\(370\) 3.23463e7 + 1.86751e7i 0.638586 + 0.368688i
\(371\) 5.33543e6i 0.104484i
\(372\) 9.63652e7 + 5.56365e7i 1.87194 + 1.08076i
\(373\) 9.64961e6 + 5.57121e6i 0.185944 + 0.107355i 0.590083 0.807343i \(-0.299095\pi\)
−0.404138 + 0.914698i \(0.632428\pi\)
\(374\) 2.70740e7 + 1.56312e7i 0.517532 + 0.298797i
\(375\) 1.97898e7 + 3.42770e7i 0.375274 + 0.649993i
\(376\) 1.29796e8i 2.44172i
\(377\) −2.26266e7 + 1.30635e7i −0.422276 + 0.243801i
\(378\) −1.01632e7 5.86773e6i −0.188172 0.108641i
\(379\) 8.65986e6 0.159072 0.0795359 0.996832i \(-0.474656\pi\)
0.0795359 + 0.996832i \(0.474656\pi\)
\(380\) 1.03114e6 1.78598e6i 0.0187917 0.0325481i
\(381\) 5.43744e7 3.13931e7i 0.983149 0.567622i
\(382\) −5.13767e7 8.89871e7i −0.921672 1.59638i
\(383\) 5.01022e7i 0.891786i −0.895086 0.445893i \(-0.852886\pi\)
0.895086 0.445893i \(-0.147114\pi\)
\(384\) 7.57227e7 + 1.31156e8i 1.33731 + 2.31629i
\(385\) 1.63121e7 0.285844
\(386\) 2.96741e7i 0.515960i
\(387\) 3.18134e7 + 5.79764e7i 0.548881 + 1.00027i
\(388\) −6.95188e7 −1.19017
\(389\) 2.04276e7i 0.347031i −0.984831 0.173516i \(-0.944487\pi\)
0.984831 0.173516i \(-0.0555127\pi\)
\(390\) 1.05251e7 6.07668e6i 0.177433 0.102441i
\(391\) −8.56641e6 −0.143307
\(392\) 4.35194e7 2.51260e7i 0.722479 0.417123i
\(393\) −2.40808e7 4.17091e7i −0.396728 0.687153i
\(394\) −9.75347e7 5.63117e7i −1.59467 0.920683i
\(395\) 3.66588e6i 0.0594822i
\(396\) −1.10453e8 + 1.91311e8i −1.77866 + 3.08073i
\(397\) 4.02573e7 + 6.97277e7i 0.643388 + 1.11438i 0.984671 + 0.174420i \(0.0558052\pi\)
−0.341283 + 0.939961i \(0.610861\pi\)
\(398\) 6.87910e6 0.109115
\(399\) 3.92365e6 2.26532e6i 0.0617691 0.0356624i
\(400\) −1.45893e7 + 2.52693e7i −0.227957 + 0.394833i
\(401\) 1.08468e7 1.87873e7i 0.168217 0.291360i −0.769576 0.638555i \(-0.779532\pi\)
0.937793 + 0.347195i \(0.112866\pi\)
\(402\) −1.25993e8 + 2.18226e8i −1.93940 + 3.35915i
\(403\) −1.66693e7 −0.254685
\(404\) 9.92553e6 1.71915e7i 0.150525 0.260718i
\(405\) −1.28354e7 7.41051e6i −0.193216 0.111553i
\(406\) −9.49093e7 + 5.47959e7i −1.41818 + 0.818785i
\(407\) 1.65273e8 9.54202e7i 2.45142 1.41533i
\(408\) 2.83925e7 0.418044
\(409\) 4.03382e7i 0.589585i 0.955561 + 0.294792i \(0.0952505\pi\)
−0.955561 + 0.294792i \(0.904750\pi\)
\(410\) 1.34119e7 + 2.32300e7i 0.194598 + 0.337053i
\(411\) −5.12229e7 8.87207e7i −0.737801 1.27791i
\(412\) −3.66932e7 + 6.35545e7i −0.524679 + 0.908771i
\(413\) 6.28170e7 + 3.62674e7i 0.891717 + 0.514833i
\(414\) 9.38041e7i 1.32197i
\(415\) 1.05617e7 + 6.09777e6i 0.147770 + 0.0853153i
\(416\) −1.07936e7 6.23170e6i −0.149930 0.0865619i
\(417\) 8.86365e7 + 5.11743e7i 1.22238 + 0.705739i
\(418\) −8.16448e6 1.41413e7i −0.111789 0.193624i
\(419\) 2.64870e7i 0.360073i 0.983660 + 0.180036i \(0.0576215\pi\)
−0.983660 + 0.180036i \(0.942378\pi\)
\(420\) 2.84892e7 1.64482e7i 0.384532 0.222009i
\(421\) −3.43619e7 1.98388e7i −0.460501 0.265871i 0.251754 0.967791i \(-0.418993\pi\)
−0.712255 + 0.701921i \(0.752326\pi\)
\(422\) −9.19395e7 −1.22339
\(423\) −7.66371e7 + 1.32739e8i −1.01255 + 1.75379i
\(424\) −1.51245e7 + 8.73214e6i −0.198419 + 0.114557i
\(425\) −7.40786e6 1.28308e7i −0.0964997 0.167142i
\(426\) 1.08332e8i 1.40129i
\(427\) −7.86244e6 1.36181e7i −0.100989 0.174918i
\(428\) 4.88527e7 0.623100
\(429\) 6.20974e7i 0.786505i
\(430\) −3.54850e7 771218.i −0.446313 0.00970000i
\(431\) −1.32771e8 −1.65833 −0.829165 0.559004i \(-0.811184\pi\)
−0.829165 + 0.559004i \(0.811184\pi\)
\(432\) 8.15844e6i 0.101194i
\(433\) 1.29388e8 7.47021e7i 1.59378 0.920172i 0.601135 0.799148i \(-0.294716\pi\)
0.992650 0.121024i \(-0.0386178\pi\)
\(434\) −6.99209e7 −0.855338
\(435\) 4.31106e7 2.48899e7i 0.523740 0.302382i
\(436\) −1.20298e8 2.08363e8i −1.45144 2.51398i
\(437\) 3.87495e6 + 2.23721e6i 0.0464325 + 0.0268078i
\(438\) 1.13710e8i 1.35324i
\(439\) 1.30995e7 2.26890e7i 0.154832 0.268177i −0.778166 0.628059i \(-0.783850\pi\)
0.932998 + 0.359882i \(0.117183\pi\)
\(440\) −2.66969e7 4.62405e7i −0.313403 0.542830i
\(441\) −5.93419e7 −0.691904
\(442\) −8.17935e6 + 4.72235e6i −0.0947223 + 0.0546879i
\(443\) −3.44430e7 + 5.96571e7i −0.396178 + 0.686200i −0.993251 0.115987i \(-0.962997\pi\)
0.597073 + 0.802187i \(0.296330\pi\)
\(444\) 1.92433e8 3.33303e8i 2.19852 3.80795i
\(445\) −1.93652e7 + 3.35414e7i −0.219756 + 0.380629i
\(446\) 5.60940e7 0.632283
\(447\) −9.71476e6 + 1.68265e7i −0.108770 + 0.188395i
\(448\) −6.92412e7 3.99764e7i −0.770070 0.444600i
\(449\) −6.04472e7 + 3.48992e7i −0.667786 + 0.385546i −0.795237 0.606298i \(-0.792654\pi\)
0.127451 + 0.991845i \(0.459320\pi\)
\(450\) 1.40500e8 8.11178e7i 1.54184 0.890181i
\(451\) 1.37055e8 1.49405
\(452\) 2.45971e8i 2.66360i
\(453\) 4.35393e7 + 7.54124e7i 0.468368 + 0.811237i
\(454\) 9.77891e7 + 1.69376e8i 1.04502 + 1.81002i
\(455\) −2.46404e6 + 4.26784e6i −0.0261586 + 0.0453079i
\(456\) −1.28431e7 7.41498e6i −0.135449 0.0782016i
\(457\) 6.79845e7i 0.712297i 0.934429 + 0.356149i \(0.115910\pi\)
−0.934429 + 0.356149i \(0.884090\pi\)
\(458\) 1.89293e8 + 1.09288e8i 1.97032 + 1.13757i
\(459\) −3.58755e6 2.07127e6i −0.0370988 0.0214190i
\(460\) 2.81356e7 + 1.62441e7i 0.289057 + 0.166887i
\(461\) −2.54080e7 4.40080e7i −0.259339 0.449189i 0.706726 0.707487i \(-0.250171\pi\)
−0.966065 + 0.258299i \(0.916838\pi\)
\(462\) 2.60472e8i 2.64141i
\(463\) 8.95088e7 5.16779e7i 0.901826 0.520669i 0.0240337 0.999711i \(-0.492349\pi\)
0.877792 + 0.479042i \(0.159016\pi\)
\(464\) 6.59805e7 + 3.80939e7i 0.660483 + 0.381330i
\(465\) 3.17601e7 0.315881
\(466\) −1.34906e8 + 2.33665e8i −1.33314 + 2.30906i
\(467\) 4.55909e7 2.63219e7i 0.447638 0.258444i −0.259194 0.965825i \(-0.583457\pi\)
0.706832 + 0.707381i \(0.250124\pi\)
\(468\) −3.33692e7 5.77971e7i −0.325543 0.563857i
\(469\) 1.02178e8i 0.990465i
\(470\) −4.11319e7 7.12425e7i −0.396173 0.686192i
\(471\) 1.47671e8 1.41330
\(472\) 2.37425e8i 2.25788i
\(473\) −9.40675e7 + 1.55049e8i −0.888907 + 1.46516i
\(474\) −5.85368e7 −0.549660
\(475\) 7.73856e6i 0.0722070i
\(476\) −2.21397e7 + 1.27824e7i −0.205282 + 0.118520i
\(477\) 2.06234e7 0.190022
\(478\) 1.56496e7 9.03531e6i 0.143291 0.0827293i
\(479\) 9.08988e7 + 1.57441e8i 0.827088 + 1.43256i 0.900313 + 0.435243i \(0.143338\pi\)
−0.0732249 + 0.997315i \(0.523329\pi\)
\(480\) 2.05651e7 + 1.18733e7i 0.185955 + 0.107361i
\(481\) 5.76551e7i 0.518086i
\(482\) 1.00621e7 1.74281e7i 0.0898560 0.155635i
\(483\) 3.56869e7 + 6.18116e7i 0.316714 + 0.548565i
\(484\) −3.99521e8 −3.52373
\(485\) −1.71840e7 + 9.92121e6i −0.150626 + 0.0869639i
\(486\) −1.38210e8 + 2.39386e8i −1.20401 + 2.08540i
\(487\) 2.14699e7 3.71869e7i 0.185884 0.321961i −0.757990 0.652266i \(-0.773818\pi\)
0.943874 + 0.330305i \(0.107152\pi\)
\(488\) −2.57358e7 + 4.45757e7i −0.221451 + 0.383565i
\(489\) −9.44108e7 −0.807412
\(490\) 1.59247e7 2.75824e7i 0.135358 0.234447i
\(491\) 2.75320e7 + 1.58956e7i 0.232591 + 0.134286i 0.611767 0.791038i \(-0.290459\pi\)
−0.379176 + 0.925325i \(0.623792\pi\)
\(492\) 2.39367e8 1.38199e8i 2.00988 1.16040i
\(493\) −3.35024e7 + 1.93426e7i −0.279598 + 0.161426i
\(494\) 4.93316e6 0.0409208
\(495\) 6.30523e7i 0.519858i
\(496\) 2.43043e7 + 4.20964e7i 0.199177 + 0.344984i
\(497\) −2.19638e7 3.80423e7i −0.178911 0.309883i
\(498\) 9.73693e7 1.68649e8i 0.788377 1.36551i
\(499\) 2.36403e7 + 1.36487e7i 0.190262 + 0.109848i 0.592105 0.805861i \(-0.298297\pi\)
−0.401843 + 0.915708i \(0.631630\pi\)
\(500\) 1.16652e8i 0.933213i
\(501\) −2.37181e8 1.36936e8i −1.88611 1.08894i
\(502\) 2.30343e8 + 1.32989e8i 1.82081 + 1.05124i
\(503\) 1.81798e8 + 1.04961e8i 1.42852 + 0.824755i 0.997004 0.0773518i \(-0.0246465\pi\)
0.431513 + 0.902107i \(0.357980\pi\)
\(504\) −6.30343e7 1.09179e8i −0.492363 0.852798i
\(505\) 5.66599e6i 0.0439948i
\(506\) 2.22776e8 1.28620e8i 1.71956 0.992789i
\(507\) −1.48896e8 8.59651e7i −1.14251 0.659627i
\(508\) 1.85047e8 1.41153
\(509\) −7.86175e7 + 1.36170e8i −0.596165 + 1.03259i 0.397217 + 0.917725i \(0.369976\pi\)
−0.993381 + 0.114862i \(0.963357\pi\)
\(510\) 1.55841e7 8.99750e6i 0.117482 0.0678284i
\(511\) −2.30541e7 3.99309e7i −0.172777 0.299259i
\(512\) 1.26929e8i 0.945691i
\(513\) 1.08187e6 + 1.87385e6i 0.00801349 + 0.0138798i
\(514\) −6.20154e7 −0.456678
\(515\) 2.09463e7i 0.153351i
\(516\) −7.94680e6 + 3.65645e8i −0.0578420 + 2.66140i
\(517\) −4.20325e8 −3.04168
\(518\) 2.41839e8i 1.73995i
\(519\) 2.14558e8 1.23875e8i 1.53477 0.886100i
\(520\) 1.61309e7 0.114722
\(521\) 1.72807e8 9.97701e7i 1.22193 0.705484i 0.256604 0.966517i \(-0.417396\pi\)
0.965330 + 0.261033i \(0.0840631\pi\)
\(522\) −2.11806e8 3.66858e8i −1.48911 2.57921i
\(523\) −9.72641e7 5.61555e7i −0.679904 0.392543i 0.119915 0.992784i \(-0.461738\pi\)
−0.799819 + 0.600241i \(0.795071\pi\)
\(524\) 1.41945e8i 0.986564i
\(525\) −6.17211e7 + 1.06904e8i −0.426536 + 0.738782i
\(526\) 1.88429e8 + 3.26369e8i 1.29477 + 2.24260i
\(527\) −2.46816e7 −0.168633
\(528\) −1.56819e8 + 9.05397e7i −1.06536 + 0.615088i
\(529\) 3.87739e7 6.71584e7i 0.261922 0.453663i
\(530\) −5.53439e6 + 9.58584e6i −0.0371742 + 0.0643876i
\(531\) −1.40187e8 + 2.42810e8i −0.936316 + 1.62175i
\(532\) 1.33530e7 0.0886836
\(533\) −2.07030e7 + 3.58586e7i −0.136726 + 0.236816i
\(534\) 5.35590e8 + 3.09223e8i 3.51730 + 2.03071i
\(535\) 1.20757e7 6.97190e6i 0.0788588 0.0455292i
\(536\) −2.89647e8 + 1.67228e8i −1.88094 + 1.08596i
\(537\) −1.34226e8 −0.866787
\(538\) 4.53179e8i 2.91020i
\(539\) −8.13670e7 1.40932e8i −0.519615 0.900000i
\(540\) 7.85532e6 + 1.36058e7i 0.0498865 + 0.0864059i
\(541\) 6.82863e7 1.18275e8i 0.431263 0.746969i −0.565720 0.824598i \(-0.691402\pi\)
0.996982 + 0.0776287i \(0.0247349\pi\)
\(542\) 2.38443e7 + 1.37665e7i 0.149757 + 0.0864623i
\(543\) 2.09151e8i 1.30635i
\(544\) −1.59817e7 9.22703e6i −0.0992718 0.0573146i
\(545\) −5.94720e7 3.43362e7i −0.367386 0.212111i
\(546\) 6.81490e7 + 3.93458e7i 0.418679 + 0.241725i
\(547\) −3.13452e7 5.42914e7i −0.191518 0.331718i 0.754236 0.656604i \(-0.228008\pi\)
−0.945753 + 0.324886i \(0.894674\pi\)
\(548\) 3.01935e8i 1.83473i
\(549\) 5.26390e7 3.03912e7i 0.318120 0.183667i
\(550\) 3.85295e8 + 2.22450e8i 2.31582 + 1.33704i
\(551\) 2.02061e7 0.120789
\(552\) 1.16813e8 2.02325e8i 0.694501 1.20291i
\(553\) 2.05561e7 1.18681e7i 0.121553 0.0701786i
\(554\) −4.84070e7 8.38434e7i −0.284694 0.493105i
\(555\) 1.09850e8i 0.642572i
\(556\) 1.50824e8 + 2.61235e8i 0.877499 + 1.51987i
\(557\) −5.67078e7 −0.328154 −0.164077 0.986448i \(-0.552464\pi\)
−0.164077 + 0.986448i \(0.552464\pi\)
\(558\) 2.70269e8i 1.55559i
\(559\) −2.63569e7 4.80324e7i −0.150889 0.274979i
\(560\) 1.43706e7 0.0818294
\(561\) 9.19451e7i 0.520763i
\(562\) −3.01450e8 + 1.74043e8i −1.69827 + 0.980497i
\(563\) −6.85773e7 −0.384287 −0.192143 0.981367i \(-0.561544\pi\)
−0.192143 + 0.981367i \(0.561544\pi\)
\(564\) −7.34099e8 + 4.23832e8i −4.09183 + 2.36242i
\(565\) −3.51032e7 6.08004e7i −0.194626 0.337102i
\(566\) −4.97657e8 2.87323e8i −2.74461 1.58460i
\(567\) 9.59644e7i 0.526455i
\(568\) −7.18931e7 + 1.24523e8i −0.392322 + 0.679521i
\(569\) −7.52972e7 1.30419e8i −0.408735 0.707950i 0.586013 0.810302i \(-0.300697\pi\)
−0.994748 + 0.102351i \(0.967363\pi\)
\(570\) −9.39916e6 −0.0507533
\(571\) 7.75726e7 4.47866e7i 0.416678 0.240569i −0.276977 0.960876i \(-0.589333\pi\)
0.693655 + 0.720308i \(0.255999\pi\)
\(572\) 9.15087e7 1.58498e8i 0.488961 0.846905i
\(573\) −1.51103e8 + 2.61718e8i −0.803174 + 1.39114i
\(574\) −8.68403e7 + 1.50412e8i −0.459183 + 0.795328i
\(575\) −1.21910e8 −0.641263
\(576\) 1.54523e8 2.67642e8i 0.808586 1.40051i
\(577\) −2.88327e8 1.66465e8i −1.50092 0.866556i −0.999999 0.00106232i \(-0.999662\pi\)
−0.500920 0.865494i \(-0.667005\pi\)
\(578\) 2.68682e8 1.55124e8i 1.39141 0.803331i
\(579\) −7.55815e7 + 4.36370e7i −0.389386 + 0.224812i
\(580\) 1.46714e8 0.751948
\(581\) 7.89648e7i 0.402629i
\(582\) 1.58422e8 + 2.74395e8i 0.803612 + 1.39190i
\(583\) 2.82778e7 + 4.89787e7i 0.142705 + 0.247173i
\(584\) −7.54622e7 + 1.30704e8i −0.378871 + 0.656223i
\(585\) −1.64967e7 9.52440e6i −0.0824007 0.0475740i
\(586\) 4.53468e8i 2.25348i
\(587\) −5.20262e7 3.00373e7i −0.257222 0.148507i 0.365845 0.930676i \(-0.380780\pi\)
−0.623067 + 0.782169i \(0.714113\pi\)
\(588\) −2.84215e8 1.64092e8i −1.39803 0.807151i
\(589\) 1.11645e7 + 6.44586e6i 0.0546381 + 0.0315453i
\(590\) −7.52395e7 1.30319e8i −0.366345 0.634528i
\(591\) 3.31235e8i 1.60462i
\(592\) 1.45601e8 8.40627e7i 0.701776 0.405171i
\(593\) 2.44345e8 + 1.41073e8i 1.17176 + 0.676517i 0.954094 0.299506i \(-0.0968219\pi\)
0.217667 + 0.976023i \(0.430155\pi\)
\(594\) 1.24396e8 0.593536
\(595\) −3.64841e6 + 6.31922e6i −0.0173202 + 0.0299994i
\(596\) −4.95920e7 + 2.86319e7i −0.234246 + 0.135242i
\(597\) −1.01160e7 1.75214e7i −0.0475429 0.0823468i
\(598\) 7.77151e7i 0.363414i
\(599\) 1.14003e8 + 1.97458e8i 0.530438 + 0.918746i 0.999369 + 0.0355109i \(0.0113059\pi\)
−0.468931 + 0.883235i \(0.655361\pi\)
\(600\) 4.04058e8 1.87064
\(601\) 2.57452e8i 1.18597i 0.805215 + 0.592983i \(0.202050\pi\)
−0.805215 + 0.592983i \(0.797950\pi\)
\(602\) −1.10556e8 2.01476e8i −0.506749 0.923493i
\(603\) 3.94955e8 1.80134
\(604\) 2.56644e8i 1.16472i
\(605\) −9.87556e7 + 5.70166e7i −0.445960 + 0.257475i
\(606\) −9.04746e7 −0.406545
\(607\) 9.02483e7 5.21049e7i 0.403528 0.232977i −0.284477 0.958683i \(-0.591820\pi\)
0.688005 + 0.725706i \(0.258487\pi\)
\(608\) 4.81947e6 + 8.34756e6i 0.0214431 + 0.0371406i
\(609\) 2.79136e8 + 1.61159e8i 1.23585 + 0.713515i
\(610\) 3.26225e7i 0.143723i
\(611\) 6.34925e7 1.09972e8i 0.278355 0.482125i
\(612\) −4.94084e7 8.55779e7i −0.215549 0.373342i
\(613\) 3.31432e8 1.43884 0.719422 0.694573i \(-0.244407\pi\)
0.719422 + 0.694573i \(0.244407\pi\)
\(614\) 2.13246e8 1.23118e8i 0.921246 0.531882i
\(615\) 3.94454e7 6.83215e7i 0.169579 0.293719i
\(616\) 1.72860e8 2.99402e8i 0.739523 1.28089i
\(617\) −6.36764e7 + 1.10291e8i −0.271096 + 0.469552i −0.969143 0.246500i \(-0.920719\pi\)
0.698047 + 0.716052i \(0.254053\pi\)
\(618\) 3.34471e8 1.41708
\(619\) 8.00837e7 1.38709e8i 0.337654 0.584835i −0.646337 0.763052i \(-0.723700\pi\)
0.983991 + 0.178218i \(0.0570332\pi\)
\(620\) 8.10646e7 + 4.68027e7i 0.340139 + 0.196379i
\(621\) −2.95199e7 + 1.70433e7i −0.123265 + 0.0711671i
\(622\) 4.10554e8 2.37033e8i 1.70608 0.985004i
\(623\) −2.50775e8 −1.03710
\(624\) 5.47061e7i 0.225155i
\(625\) −9.67939e7 1.67652e8i −0.396468 0.686702i
\(626\) −2.62570e8 4.54785e8i −1.07034 1.85389i
\(627\) −2.40124e7 + 4.15907e7i −0.0974166 + 0.168731i
\(628\) 3.76917e8 + 2.17613e8i 1.52183 + 0.878630i
\(629\) 8.53675e7i 0.343037i
\(630\) −6.91969e7 3.99509e7i −0.276736 0.159773i
\(631\) 4.45038e7 + 2.56943e7i 0.177137 + 0.102270i 0.585947 0.810350i \(-0.300723\pi\)
−0.408810 + 0.912620i \(0.634056\pi\)
\(632\) −6.72855e7 3.88473e7i −0.266545 0.153890i
\(633\) 1.35201e8 + 2.34175e8i 0.533050 + 0.923270i
\(634\) 3.63910e8i 1.42799i
\(635\) 4.57410e7 2.64086e7i 0.178642 0.103139i
\(636\) 9.87746e7 + 5.70275e7i 0.383949 + 0.221673i
\(637\) 4.91638e7 0.190207
\(638\) 5.80837e8 1.00604e9i 2.23662 3.87394i
\(639\) 1.47047e8 8.48978e7i 0.563579 0.325382i
\(640\) 6.36997e7 + 1.10331e8i 0.242995 + 0.420880i
\(641\) 3.07189e8i 1.16636i −0.812344 0.583178i \(-0.801809\pi\)
0.812344 0.583178i \(-0.198191\pi\)
\(642\) −1.11327e8 1.92825e8i −0.420724 0.728715i
\(643\) −1.32962e8 −0.500144 −0.250072 0.968227i \(-0.580454\pi\)
−0.250072 + 0.968227i \(0.580454\pi\)
\(644\) 2.10358e8i 0.787590i
\(645\) 5.02178e7 + 9.15163e7i 0.187145 + 0.341051i
\(646\) 7.30433e6 0.0270946
\(647\) 3.77358e8i 1.39329i −0.717418 0.696643i \(-0.754676\pi\)
0.717418 0.696643i \(-0.245324\pi\)
\(648\) −2.72033e8 + 1.57058e8i −0.999762 + 0.577213i
\(649\) −7.68870e8 −2.81267
\(650\) −1.16402e8 + 6.72047e7i −0.423858 + 0.244714i
\(651\) 1.02822e8 + 1.78092e8i 0.372684 + 0.645508i
\(652\) −2.40975e8 1.39127e8i −0.869417 0.501958i
\(653\) 3.31206e8i 1.18948i 0.803917 + 0.594742i \(0.202746\pi\)
−0.803917 + 0.594742i \(0.797254\pi\)
\(654\) −5.48281e8 + 9.49650e8i −1.96006 + 3.39493i
\(655\) −2.02573e7 3.50867e7i −0.0720871 0.124858i
\(656\) 1.20742e8 0.427708
\(657\) 1.54347e8 8.91125e7i 0.544256 0.314226i
\(658\) 2.66324e8 4.61287e8i 0.934831 1.61918i
\(659\) 1.31189e8 2.27226e8i 0.458397 0.793968i −0.540479 0.841357i \(-0.681757\pi\)
0.998876 + 0.0473899i \(0.0150903\pi\)
\(660\) −1.74352e8 + 3.01986e8i −0.606449 + 1.05040i
\(661\) 2.71926e8 0.941558 0.470779 0.882251i \(-0.343973\pi\)
0.470779 + 0.882251i \(0.343973\pi\)
\(662\) −4.09282e8 + 7.08898e8i −1.41075 + 2.44348i
\(663\) 2.40562e7 + 1.38888e7i 0.0825440 + 0.0476568i
\(664\) 2.23844e8 1.29236e8i 0.764611 0.441448i
\(665\) 3.30066e6 1.90564e6i 0.0112237 0.00648000i
\(666\) −9.34794e8 −3.16441
\(667\) 3.18318e8i 1.07271i
\(668\) −4.03588e8 6.99034e8i −1.35397 2.34514i
\(669\) −8.24885e7 1.42874e8i −0.275496 0.477173i
\(670\) −1.05988e8 + 1.83577e8i −0.352398 + 0.610371i
\(671\) 1.44352e8 + 8.33420e7i 0.477812 + 0.275865i
\(672\) 1.53756e8i 0.506669i
\(673\) 2.30333e8 + 1.32983e8i 0.755634 + 0.436266i 0.827726 0.561132i \(-0.189634\pi\)
−0.0720918 + 0.997398i \(0.522967\pi\)
\(674\) −7.96412e8 4.59808e8i −2.60110 1.50175i
\(675\) −5.10550e7 2.94766e7i −0.166007 0.0958444i
\(676\) −2.53362e8 4.38836e8i −0.820165 1.42057i
\(677\) 1.90430e8i 0.613719i 0.951755 + 0.306859i \(0.0992781\pi\)
−0.951755 + 0.306859i \(0.900722\pi\)
\(678\) −9.70862e8 + 5.60528e8i −3.11508 + 1.79849i
\(679\) −1.11265e8 6.42387e7i −0.355425 0.205205i
\(680\) 2.38844e7 0.0759604
\(681\) 2.87606e8 4.98148e8i 0.910660 1.57731i
\(682\) 6.41865e8 3.70581e8i 2.02344 1.16823i
\(683\) 1.06523e8 + 1.84504e8i 0.334336 + 0.579086i 0.983357 0.181684i \(-0.0581548\pi\)
−0.649021 + 0.760770i \(0.724821\pi\)
\(684\) 5.16141e7i 0.161287i
\(685\) −4.30899e7 7.46339e7i −0.134061 0.232201i
\(686\) 5.46287e8 1.69219
\(687\) 6.42852e8i 1.98263i
\(688\) −8.28710e7 + 1.36594e8i −0.254470 + 0.419436i
\(689\) −1.70861e7 −0.0522379
\(690\) 1.48071e8i 0.450735i
\(691\) 2.42381e8 1.39939e8i 0.734624 0.424136i −0.0854872 0.996339i \(-0.527245\pi\)
0.820112 + 0.572204i \(0.193911\pi\)
\(692\) 7.30186e8 2.20351
\(693\) −3.53560e8 + 2.04128e8i −1.06234 + 0.613343i
\(694\) 1.23083e7 + 2.13185e7i 0.0368229 + 0.0637792i
\(695\) 7.45630e7 + 4.30490e7i 0.222111 + 0.128236i
\(696\) 1.05503e9i 3.12924i
\(697\) −3.06541e7 + 5.30944e7i −0.0905294 + 0.156802i
\(698\) −1.04333e8 1.80710e8i −0.306799 0.531392i
\(699\) 7.93542e8 2.32348
\(700\) −3.15074e8 + 1.81908e8i −0.918584 + 0.530345i
\(701\) 2.00879e8 3.47932e8i 0.583150 1.01005i −0.411954 0.911205i \(-0.635153\pi\)
0.995103 0.0988402i \(-0.0315133\pi\)
\(702\) −1.87907e7 + 3.25465e7i −0.0543165 + 0.0940790i
\(703\) 2.22946e7 3.86154e7i 0.0641703 0.111146i
\(704\) 8.47501e8 2.42897
\(705\) −1.20972e8 + 2.09530e8i −0.345238 + 0.597970i
\(706\) −2.54226e8 1.46778e8i −0.722447 0.417105i
\(707\) 3.17716e7 1.83433e7i 0.0899043 0.0519063i
\(708\) −1.34283e9 + 7.75285e8i −3.78375 + 2.18455i
\(709\) −3.98466e8 −1.11803 −0.559013 0.829159i \(-0.688820\pi\)
−0.559013 + 0.829159i \(0.688820\pi\)
\(710\) 9.11310e7i 0.254619i
\(711\) 4.58744e7 + 7.94568e7i 0.127633 + 0.221066i
\(712\) 4.10425e8 + 7.10877e8i 1.13709 + 1.96949i
\(713\) −1.01545e8 + 1.75882e8i −0.280151 + 0.485235i
\(714\) 1.00905e8 + 5.82578e7i 0.277217 + 0.160051i
\(715\) 5.22377e7i 0.142911i
\(716\) −3.42598e8 1.97799e8i −0.933352 0.538871i
\(717\) −4.60268e7 2.65736e7i −0.124869 0.0720929i
\(718\) 1.13667e8 + 6.56257e7i 0.307087 + 0.177297i
\(719\) 1.45758e8 + 2.52461e8i 0.392145 + 0.679216i 0.992732 0.120344i \(-0.0383997\pi\)
−0.600587 + 0.799559i \(0.705066\pi\)
\(720\) 5.55474e7i 0.148822i
\(721\) −1.17455e8 + 6.78125e7i −0.313375 + 0.180927i
\(722\) 5.43982e8 + 3.14068e8i 1.44535 + 0.834472i
\(723\) −5.91869e7 −0.156607
\(724\) 3.08211e8 5.33837e8i 0.812142 1.40667i
\(725\) −4.76778e8 + 2.75268e8i −1.25113 + 0.722340i
\(726\) 9.10442e8 + 1.57693e9i 2.37926 + 4.12100i
\(727\) 5.36513e8i 1.39629i 0.715954 + 0.698147i \(0.245992\pi\)
−0.715954 + 0.698147i \(0.754008\pi\)
\(728\) 5.22229e7 + 9.04527e7i 0.135353 + 0.234438i
\(729\) 4.87866e8 1.25927
\(730\) 9.56552e7i 0.245889i
\(731\) −3.90256e7 7.11197e7i −0.0999074 0.182070i
\(732\) 3.36149e8 0.857036
\(733\) 8.95687e7i 0.227428i 0.993514 + 0.113714i \(0.0362748\pi\)
−0.993514 + 0.113714i \(0.963725\pi\)
\(734\) −9.21080e8 + 5.31786e8i −2.32921 + 1.34477i
\(735\) −9.36718e7 −0.235910
\(736\) −1.31504e8 + 7.59240e7i −0.329842 + 0.190434i
\(737\) 5.41544e8 + 9.37982e8i 1.35279 + 2.34311i
\(738\) −5.81396e8 3.35669e8i −1.44645 0.835107i
\(739\) 8.90279e7i 0.220594i −0.993899 0.110297i \(-0.964820\pi\)
0.993899 0.110297i \(-0.0351801\pi\)
\(740\) 1.61879e8 2.80382e8i 0.399480 0.691919i
\(741\) −7.25442e6 1.25650e7i −0.0178299 0.0308822i
\(742\) −7.16690e7 −0.175436
\(743\) −2.83158e8 + 1.63481e8i −0.690339 + 0.398568i −0.803739 0.594982i \(-0.797159\pi\)
0.113400 + 0.993549i \(0.463826\pi\)
\(744\) 3.36562e8 5.82942e8i 0.817233 1.41549i
\(745\) −8.17227e6 + 1.41548e7i −0.0197640 + 0.0342322i
\(746\) 7.48361e7 1.29620e8i 0.180258 0.312216i
\(747\) −3.05227e8 −0.732253
\(748\) 1.35493e8 2.34681e8i 0.323752 0.560755i
\(749\) 7.81887e7 + 4.51423e7i 0.186079 + 0.107433i
\(750\) 4.60431e8 2.65830e8i 1.09139 0.630115i
\(751\) −6.83702e8 + 3.94736e8i −1.61416 + 0.931937i −0.625771 + 0.780007i \(0.715215\pi\)
−0.988391 + 0.151930i \(0.951451\pi\)
\(752\) −3.70295e8 −0.870752
\(753\) 7.82261e8i 1.83217i
\(754\) 1.75477e8 + 3.03936e8i 0.409362 + 0.709035i
\(755\) 3.66263e7 + 6.34386e7i 0.0851044 + 0.147405i
\(756\) −5.08623e7 + 8.80961e7i −0.117715 + 0.203888i
\(757\) −2.12542e8 1.22711e8i −0.489957 0.282877i 0.234600 0.972092i \(-0.424622\pi\)
−0.724557 + 0.689215i \(0.757955\pi\)
\(758\) 1.16325e8i 0.267094i
\(759\) −6.55204e8 3.78282e8i −1.49848 0.865148i
\(760\) −1.08039e7 6.23765e6i −0.0246116 0.0142095i
\(761\) −1.97198e7 1.13852e7i −0.0447454 0.0258337i 0.477460 0.878653i \(-0.341557\pi\)
−0.522206 + 0.852819i \(0.674891\pi\)
\(762\) −4.21692e8 7.30392e8i −0.953083 1.65079i
\(763\) 4.44646e8i 1.00101i
\(764\) −7.71353e8 + 4.45341e8i −1.72971 + 0.998648i
\(765\) −2.44261e7 1.41024e7i −0.0545594 0.0314999i
\(766\) −6.73006e8