Properties

Label 43.7.d.a.7.12
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 7.12
Character \(\chi\) \(=\) 43.7
Dual form 43.7.d.a.37.10

$q$-expansion

\(f(q)\) \(=\) \(q+1.95704i q^{2} +(10.4424 - 6.02890i) q^{3} +60.1700 q^{4} +(-193.167 + 111.525i) q^{5} +(11.7988 + 20.4361i) q^{6} +(-30.2778 - 17.4809i) q^{7} +243.006i q^{8} +(-291.805 + 505.421i) q^{9} +O(q^{10})\) \(q+1.95704i q^{2} +(10.4424 - 6.02890i) q^{3} +60.1700 q^{4} +(-193.167 + 111.525i) q^{5} +(11.7988 + 20.4361i) q^{6} +(-30.2778 - 17.4809i) q^{7} +243.006i q^{8} +(-291.805 + 505.421i) q^{9} +(-218.259 - 378.036i) q^{10} +688.201 q^{11} +(628.316 - 362.759i) q^{12} +(-591.384 + 1024.31i) q^{13} +(34.2108 - 59.2549i) q^{14} +(-1344.75 + 2329.17i) q^{15} +3375.31 q^{16} +(-2373.46 + 4110.95i) q^{17} +(-989.130 - 571.075i) q^{18} +(-8832.15 + 5099.24i) q^{19} +(-11622.8 + 6710.45i) q^{20} -421.562 q^{21} +1346.84i q^{22} +(1298.84 + 2249.66i) q^{23} +(1465.06 + 2537.56i) q^{24} +(17063.1 - 29554.2i) q^{25} +(-2004.61 - 1157.36i) q^{26} +15827.2i q^{27} +(-1821.81 - 1051.82i) q^{28} +(34988.7 + 20200.7i) q^{29} +(-4558.28 - 2631.72i) q^{30} +(-27966.9 - 48440.1i) q^{31} +22158.0i q^{32} +(7186.44 - 4149.09i) q^{33} +(-8045.30 - 4644.96i) q^{34} +7798.21 q^{35} +(-17557.9 + 30411.2i) q^{36} +(40553.8 - 23413.8i) q^{37} +(-9979.44 - 17284.9i) q^{38} +14261.6i q^{39} +(-27101.2 - 46940.7i) q^{40} +46510.8 q^{41} -825.014i q^{42} +(71663.4 - 34434.3i) q^{43} +41409.1 q^{44} -130174. i q^{45} +(-4402.68 + 2541.89i) q^{46} -54839.3 q^{47} +(35246.1 - 20349.4i) q^{48} +(-58213.3 - 100828. i) q^{49} +(57838.9 + 33393.3i) q^{50} +57237.3i q^{51} +(-35583.6 + 61632.6i) q^{52} +(31883.7 + 55224.1i) q^{53} -30974.5 q^{54} +(-132938. + 76751.6i) q^{55} +(4247.96 - 7357.68i) q^{56} +(-61485.6 + 106496. i) q^{57} +(-39533.7 + 68474.4i) q^{58} -215519. q^{59} +(-80913.3 + 140146. i) q^{60} +(213769. + 123420. i) q^{61} +(94799.4 - 54732.5i) q^{62} +(17670.4 - 10202.0i) q^{63} +172655. q^{64} -263816. i q^{65} +(8119.96 + 14064.2i) q^{66} +(-49805.9 - 86266.3i) q^{67} +(-142811. + 247356. i) q^{68} +(27125.9 + 15661.2i) q^{69} +15261.4i q^{70} +(112708. + 65072.1i) q^{71} +(-122820. - 70910.3i) q^{72} +(445933. + 257459. i) q^{73} +(45821.8 + 79365.6i) q^{74} -411487. i q^{75} +(-531430. + 306821. i) q^{76} +(-20837.2 - 12030.4i) q^{77} -27910.5 q^{78} +(-275903. + 477878. i) q^{79} +(-651997. + 376431. i) q^{80} +(-117305. - 203179. i) q^{81} +91023.7i q^{82} +(106284. + 184089. i) q^{83} -25365.4 q^{84} -1.05880e6i q^{85} +(67389.4 + 140248. i) q^{86} +487153. q^{87} +167237. i q^{88} +(322273. - 186064. i) q^{89} +254756. q^{90} +(35811.6 - 20675.8i) q^{91} +(78151.3 + 135362. i) q^{92} +(-584081. - 337219. i) q^{93} -107323. i q^{94} +(1.13739e6 - 1.97001e6i) q^{95} +(133588. + 231382. i) q^{96} +757181. q^{97} +(197326. - 113926. i) q^{98} +(-200820. + 347831. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 42q - 3q^{3} - 1194q^{4} - 3q^{5} + 111q^{6} - 147q^{7} + 3852q^{9} + O(q^{10}) \) \( 42q - 3q^{3} - 1194q^{4} - 3q^{5} + 111q^{6} - 147q^{7} + 3852q^{9} - 981q^{10} - 4104q^{11} + 918q^{12} + 4843q^{13} + 2814q^{14} - 163q^{15} + 36678q^{16} + 3641q^{17} - 507q^{18} - 5229q^{19} - 1599q^{20} - 29990q^{21} + 6575q^{23} - 4622q^{24} + 68484q^{25} + 189q^{26} + 48948q^{28} + 95361q^{29} - 85041q^{30} - 79373q^{31} - 79638q^{33} - 184743q^{34} - 80582q^{35} + 59972q^{36} - 66063q^{37} - 69820q^{38} + 189951q^{40} + 40632q^{41} - 368728q^{43} + 130330q^{44} + 34056q^{46} - 247820q^{47} + 326907q^{48} - 21876q^{49} - 28638q^{50} - 617150q^{52} + 11639q^{53} + 655904q^{54} - 43638q^{55} + 553875q^{56} - 422859q^{57} + 587796q^{58} - 649352q^{59} + 875455q^{60} - 52251q^{61} + 1335249q^{62} + 93690q^{63} - 792420q^{64} + 160395q^{66} - 173603q^{67} + 22286q^{68} + 870417q^{69} + 1670505q^{71} - 2068518q^{72} - 2646201q^{73} - 1625030q^{74} - 80622q^{76} - 486066q^{77} + 2835040q^{78} + 1897639q^{79} - 817059q^{80} + 2215367q^{81} + 1584059q^{83} - 824560q^{84} - 2333682q^{86} - 5547198q^{87} + 2736939q^{89} + 1092196q^{90} - 3724131q^{91} + 470257q^{92} + 488433q^{93} - 1289839q^{95} + 1697650q^{96} + 5260848q^{97} + 4722621q^{98} + 1375834q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
</
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.95704i 0.244630i 0.992491 + 0.122315i \(0.0390319\pi\)
−0.992491 + 0.122315i \(0.960968\pi\)
\(3\) 10.4424 6.02890i 0.386754 0.223293i −0.293999 0.955806i \(-0.594986\pi\)
0.680753 + 0.732513i \(0.261653\pi\)
\(4\) 60.1700 0.940156
\(5\) −193.167 + 111.525i −1.54534 + 0.892200i −0.546847 + 0.837233i \(0.684172\pi\)
−0.998488 + 0.0549670i \(0.982495\pi\)
\(6\) 11.7988 + 20.4361i 0.0546241 + 0.0946118i
\(7\) −30.2778 17.4809i −0.0882733 0.0509646i 0.455214 0.890382i \(-0.349563\pi\)
−0.543487 + 0.839418i \(0.682896\pi\)
\(8\) 243.006i 0.474621i
\(9\) −291.805 + 505.421i −0.400281 + 0.693307i
\(10\) −218.259 378.036i −0.218259 0.378036i
\(11\) 688.201 0.517056 0.258528 0.966004i \(-0.416763\pi\)
0.258528 + 0.966004i \(0.416763\pi\)
\(12\) 628.316 362.759i 0.363609 0.209930i
\(13\) −591.384 + 1024.31i −0.269178 + 0.466230i −0.968650 0.248430i \(-0.920085\pi\)
0.699472 + 0.714660i \(0.253419\pi\)
\(14\) 34.2108 59.2549i 0.0124675 0.0215943i
\(15\) −1344.75 + 2329.17i −0.398443 + 0.690123i
\(16\) 3375.31 0.824049
\(17\) −2373.46 + 4110.95i −0.483097 + 0.836749i −0.999812 0.0194089i \(-0.993822\pi\)
0.516714 + 0.856158i \(0.327155\pi\)
\(18\) −989.130 571.075i −0.169604 0.0979209i
\(19\) −8832.15 + 5099.24i −1.28767 + 0.743438i −0.978239 0.207483i \(-0.933473\pi\)
−0.309434 + 0.950921i \(0.600140\pi\)
\(20\) −11622.8 + 6710.45i −1.45286 + 0.838807i
\(21\) −421.562 −0.0455201
\(22\) 1346.84i 0.126488i
\(23\) 1298.84 + 2249.66i 0.106751 + 0.184899i 0.914452 0.404694i \(-0.132622\pi\)
−0.807701 + 0.589592i \(0.799288\pi\)
\(24\) 1465.06 + 2537.56i 0.105979 + 0.183562i
\(25\) 17063.1 29554.2i 1.09204 1.89147i
\(26\) −2004.61 1157.36i −0.114054 0.0658492i
\(27\) 15827.2i 0.804104i
\(28\) −1821.81 1051.82i −0.0829907 0.0479147i
\(29\) 34988.7 + 20200.7i 1.43461 + 0.828273i 0.997468 0.0711195i \(-0.0226572\pi\)
0.437143 + 0.899392i \(0.355991\pi\)
\(30\) −4558.28 2631.72i −0.168825 0.0974713i
\(31\) −27966.9 48440.1i −0.938771 1.62600i −0.767768 0.640728i \(-0.778633\pi\)
−0.171003 0.985271i \(-0.554701\pi\)
\(32\) 22158.0i 0.676209i
\(33\) 7186.44 4149.09i 0.199973 0.115455i
\(34\) −8045.30 4644.96i −0.204694 0.118180i
\(35\) 7798.21 0.181883
\(36\) −17557.9 + 30411.2i −0.376326 + 0.651817i
\(37\) 40553.8 23413.8i 0.800620 0.462238i −0.0430676 0.999072i \(-0.513713\pi\)
0.843688 + 0.536834i \(0.180380\pi\)
\(38\) −9979.44 17284.9i −0.181868 0.315004i
\(39\) 14261.6i 0.240422i
\(40\) −27101.2 46940.7i −0.423457 0.733449i
\(41\) 46510.8 0.674843 0.337421 0.941354i \(-0.390445\pi\)
0.337421 + 0.941354i \(0.390445\pi\)
\(42\) 825.014i 0.0111356i
\(43\) 71663.4 34434.3i 0.901347 0.433098i
\(44\) 41409.1 0.486113
\(45\) 130174.i 1.42852i
\(46\) −4402.68 + 2541.89i −0.0452318 + 0.0261146i
\(47\) −54839.3 −0.528200 −0.264100 0.964495i \(-0.585075\pi\)
−0.264100 + 0.964495i \(0.585075\pi\)
\(48\) 35246.1 20349.4i 0.318704 0.184004i
\(49\) −58213.3 100828.i −0.494805 0.857028i
\(50\) 57838.9 + 33393.3i 0.462711 + 0.267146i
\(51\) 57237.3i 0.431488i
\(52\) −35583.6 + 61632.6i −0.253069 + 0.438329i
\(53\) 31883.7 + 55224.1i 0.214161 + 0.370938i 0.953013 0.302930i \(-0.0979649\pi\)
−0.738852 + 0.673868i \(0.764632\pi\)
\(54\) −30974.5 −0.196708
\(55\) −132938. + 76751.6i −0.799024 + 0.461317i
\(56\) 4247.96 7357.68i 0.0241889 0.0418964i
\(57\) −61485.6 + 106496.i −0.332008 + 0.575055i
\(58\) −39533.7 + 68474.4i −0.202621 + 0.350949i
\(59\) −215519. −1.04937 −0.524685 0.851297i \(-0.675817\pi\)
−0.524685 + 0.851297i \(0.675817\pi\)
\(60\) −80913.3 + 140146.i −0.374599 + 0.648824i
\(61\) 213769. + 123420.i 0.941793 + 0.543744i 0.890522 0.454941i \(-0.150339\pi\)
0.0512708 + 0.998685i \(0.483673\pi\)
\(62\) 94799.4 54732.5i 0.397769 0.229652i
\(63\) 17670.4 10202.0i 0.0706683 0.0408003i
\(64\) 172655. 0.658628
\(65\) 263816.i 0.960643i
\(66\) 8119.96 + 14064.2i 0.0282437 + 0.0489196i
\(67\) −49805.9 86266.3i −0.165598 0.286825i 0.771269 0.636509i \(-0.219622\pi\)
−0.936868 + 0.349684i \(0.886289\pi\)
\(68\) −142811. + 247356.i −0.454187 + 0.786674i
\(69\) 27125.9 + 15661.2i 0.0825729 + 0.0476735i
\(70\) 15261.4i 0.0444940i
\(71\) 112708. + 65072.1i 0.314905 + 0.181811i 0.649119 0.760686i \(-0.275138\pi\)
−0.334214 + 0.942497i \(0.608471\pi\)
\(72\) −122820. 70910.3i −0.329058 0.189982i
\(73\) 445933. + 257459.i 1.14631 + 0.661821i 0.947985 0.318316i \(-0.103117\pi\)
0.198322 + 0.980137i \(0.436451\pi\)
\(74\) 45821.8 + 79365.6i 0.113078 + 0.195856i
\(75\) 411487.i 0.975378i
\(76\) −531430. + 306821.i −1.21061 + 0.698948i
\(77\) −20837.2 12030.4i −0.0456422 0.0263516i
\(78\) −27910.5 −0.0588145
\(79\) −275903. + 477878.i −0.559596 + 0.969249i 0.437934 + 0.899007i \(0.355710\pi\)
−0.997530 + 0.0702419i \(0.977623\pi\)
\(80\) −651997. + 376431.i −1.27343 + 0.735216i
\(81\) −117305. 203179.i −0.220731 0.382317i
\(82\) 91023.7i 0.165087i
\(83\) 106284. + 184089.i 0.185880 + 0.321953i 0.943873 0.330310i \(-0.107153\pi\)
−0.757993 + 0.652263i \(0.773820\pi\)
\(84\) −25365.4 −0.0427960
\(85\) 1.05880e6i 1.72408i
\(86\) 67389.4 + 140248.i 0.105949 + 0.220497i
\(87\) 487153. 0.739788
\(88\) 167237.i 0.245406i
\(89\) 322273. 186064.i 0.457145 0.263933i −0.253698 0.967283i \(-0.581647\pi\)
0.710843 + 0.703351i \(0.248314\pi\)
\(90\) 254756. 0.349460
\(91\) 35811.6 20675.8i 0.0475225 0.0274371i
\(92\) 78151.3 + 135362.i 0.100363 + 0.173833i
\(93\) −584081. 337219.i −0.726147 0.419241i
\(94\) 107323.i 0.129214i
\(95\) 1.13739e6 1.97001e6i 1.32659 2.29772i
\(96\) 133588. + 231382.i 0.150992 + 0.261526i
\(97\) 757181. 0.829630 0.414815 0.909906i \(-0.363846\pi\)
0.414815 + 0.909906i \(0.363846\pi\)
\(98\) 197326. 113926.i 0.209655 0.121044i
\(99\) −200820. + 347831.i −0.206968 + 0.358478i
\(100\) 1.02669e6 1.77828e6i 1.02669 1.77828i
\(101\) 60940.3 105552.i 0.0591480 0.102447i −0.834935 0.550348i \(-0.814495\pi\)
0.894083 + 0.447901i \(0.147828\pi\)
\(102\) −112016. −0.105555
\(103\) −509074. + 881742.i −0.465875 + 0.806919i −0.999241 0.0389658i \(-0.987594\pi\)
0.533366 + 0.845885i \(0.320927\pi\)
\(104\) −248913. 143710.i −0.221283 0.127758i
\(105\) 81431.7 47014.6i 0.0703438 0.0406130i
\(106\) −108076. + 62397.7i −0.0907427 + 0.0523903i
\(107\) −1.30349e6 −1.06404 −0.532019 0.846732i \(-0.678567\pi\)
−0.532019 + 0.846732i \(0.678567\pi\)
\(108\) 952321.i 0.755983i
\(109\) −245095. 424517.i −0.189258 0.327805i 0.755745 0.654866i \(-0.227275\pi\)
−0.945003 + 0.327061i \(0.893942\pi\)
\(110\) −150206. 260165.i −0.112852 0.195466i
\(111\) 282318. 488990.i 0.206429 0.357545i
\(112\) −102197. 59003.3i −0.0727416 0.0419974i
\(113\) 2.62581e6i 1.81981i 0.414812 + 0.909907i \(0.363847\pi\)
−0.414812 + 0.909907i \(0.636153\pi\)
\(114\) −208418. 120330.i −0.140676 0.0812194i
\(115\) −501787. 289707.i −0.329933 0.190487i
\(116\) 2.10527e6 + 1.21548e6i 1.34876 + 0.778705i
\(117\) −345138. 597796.i −0.215494 0.373246i
\(118\) 421779.i 0.256708i
\(119\) 143726. 82980.2i 0.0852892 0.0492418i
\(120\) −566002. 326781.i −0.327547 0.189109i
\(121\) −1.29794e6 −0.732653
\(122\) −241538. + 418355.i −0.133016 + 0.230391i
\(123\) 485683. 280409.i 0.260998 0.150687i
\(124\) −1.68277e6 2.91464e6i −0.882591 1.52869i
\(125\) 4.12670e6i 2.11287i
\(126\) 19965.8 + 34581.7i 0.00998101 + 0.0172876i
\(127\) 2.55293e6 1.24632 0.623158 0.782096i \(-0.285849\pi\)
0.623158 + 0.782096i \(0.285849\pi\)
\(128\) 1.75601e6i 0.837329i
\(129\) 540734. 791626.i 0.251892 0.368766i
\(130\) 516300. 0.235002
\(131\) 503583.i 0.224005i 0.993708 + 0.112002i \(0.0357264\pi\)
−0.993708 + 0.112002i \(0.964274\pi\)
\(132\) 432408. 249651.i 0.188006 0.108545i
\(133\) 356557. 0.151556
\(134\) 168827. 97472.3i 0.0701661 0.0405104i
\(135\) −1.76513e6 3.05729e6i −0.717421 1.24261i
\(136\) −998985. 576764.i −0.397139 0.229288i
\(137\) 2.58667e6i 1.00596i 0.864299 + 0.502978i \(0.167762\pi\)
−0.864299 + 0.502978i \(0.832238\pi\)
\(138\) −30649.6 + 53086.7i −0.0116624 + 0.0201999i
\(139\) 1.01220e6 + 1.75318e6i 0.376897 + 0.652805i 0.990609 0.136725i \(-0.0436577\pi\)
−0.613712 + 0.789530i \(0.710324\pi\)
\(140\) 469218. 0.170998
\(141\) −572651. + 330620.i −0.204283 + 0.117943i
\(142\) −127349. + 220575.i −0.0444764 + 0.0770355i
\(143\) −406991. + 704930.i −0.139180 + 0.241067i
\(144\) −984930. + 1.70595e6i −0.329851 + 0.571319i
\(145\) −9.01155e6 −2.95594
\(146\) −503859. + 872710.i −0.161901 + 0.280422i
\(147\) −1.21577e6 701925.i −0.382736 0.220973i
\(148\) 2.44012e6 1.40881e6i 0.752708 0.434576i
\(149\) −771060. + 445172.i −0.233093 + 0.134576i −0.611998 0.790859i \(-0.709634\pi\)
0.378905 + 0.925436i \(0.376301\pi\)
\(150\) 805299. 0.238607
\(151\) 1.39736e6i 0.405861i 0.979193 + 0.202931i \(0.0650466\pi\)
−0.979193 + 0.202931i \(0.934953\pi\)
\(152\) −1.23915e6 2.14627e6i −0.352852 0.611157i
\(153\) −1.38517e6 2.39919e6i −0.386749 0.669869i
\(154\) 23543.9 40779.3i 0.00644639 0.0111655i
\(155\) 1.08046e7 + 6.23802e6i 2.90143 + 1.67514i
\(156\) 858119.i 0.226034i
\(157\) 3.71057e6 + 2.14230e6i 0.958829 + 0.553580i 0.895813 0.444432i \(-0.146594\pi\)
0.0630169 + 0.998012i \(0.479928\pi\)
\(158\) −935227. 539954.i −0.237108 0.136894i
\(159\) 665881. + 384447.i 0.165655 + 0.0956412i
\(160\) −2.47117e6 4.28019e6i −0.603313 1.04497i
\(161\) 90819.6i 0.0217622i
\(162\) 397630. 229572.i 0.0935263 0.0539974i
\(163\) −3.44244e6 1.98749e6i −0.794884 0.458926i 0.0467953 0.998904i \(-0.485099\pi\)
−0.841679 + 0.539978i \(0.818432\pi\)
\(164\) 2.79856e6 0.634457
\(165\) −925455. + 1.60294e6i −0.206017 + 0.356832i
\(166\) −360269. + 208002.i −0.0787595 + 0.0454718i
\(167\) −3.55742e6 6.16163e6i −0.763810 1.32296i −0.940873 0.338759i \(-0.889993\pi\)
0.177063 0.984199i \(-0.443340\pi\)
\(168\) 102442.i 0.0216048i
\(169\) 1.71393e6 + 2.96862e6i 0.355086 + 0.615027i
\(170\) 2.07211e6 0.421762
\(171\) 5.95193e6i 1.19034i
\(172\) 4.31199e6 2.07191e6i 0.847407 0.407179i
\(173\) 4.89260e6 0.944934 0.472467 0.881348i \(-0.343363\pi\)
0.472467 + 0.881348i \(0.343363\pi\)
\(174\) 953379.i 0.180975i
\(175\) −1.03327e6 + 596557.i −0.192796 + 0.111311i
\(176\) 2.32289e6 0.426079
\(177\) −2.25052e6 + 1.29934e6i −0.405848 + 0.234316i
\(178\) 364136. + 630703.i 0.0645660 + 0.111832i
\(179\) −4.38158e6 2.52971e6i −0.763962 0.441074i 0.0667543 0.997769i \(-0.478736\pi\)
−0.830717 + 0.556696i \(0.812069\pi\)
\(180\) 7.83257e6i 1.34303i
\(181\) 2.96459e6 5.13482e6i 0.499953 0.865944i −0.500047 0.865998i \(-0.666684\pi\)
1.00000 5.43436e-5i \(1.72981e-5\pi\)
\(182\) 40463.5 + 70084.8i 0.00671196 + 0.0116255i
\(183\) 2.97634e6 0.485656
\(184\) −546681. + 315627.i −0.0877568 + 0.0506664i
\(185\) −5.22244e6 + 9.04553e6i −0.824818 + 1.42863i
\(186\) 659953. 1.14307e6i 0.102559 0.177638i
\(187\) −1.63342e6 + 2.82916e6i −0.249788 + 0.432646i
\(188\) −3.29968e6 −0.496590
\(189\) 276673. 479211.i 0.0409809 0.0709809i
\(190\) 3.85540e6 + 2.22591e6i 0.562093 + 0.324525i
\(191\) 8.34022e6 4.81523e6i 1.19695 0.691062i 0.237079 0.971490i \(-0.423810\pi\)
0.959875 + 0.280429i \(0.0904766\pi\)
\(192\) 1.80293e6 1.04092e6i 0.254727 0.147067i
\(193\) −1.61610e6 −0.224801 −0.112400 0.993663i \(-0.535854\pi\)
−0.112400 + 0.993663i \(0.535854\pi\)
\(194\) 1.48184e6i 0.202953i
\(195\) −1.59052e6 2.75487e6i −0.214504 0.371532i
\(196\) −3.50270e6 6.06685e6i −0.465194 0.805740i
\(197\) 4.82878e6 8.36370e6i 0.631595 1.09396i −0.355630 0.934627i \(-0.615734\pi\)
0.987226 0.159329i \(-0.0509329\pi\)
\(198\) −680721. 393014.i −0.0876947 0.0506306i
\(199\) 6.43626e6i 0.816722i 0.912821 + 0.408361i \(0.133900\pi\)
−0.912821 + 0.408361i \(0.866100\pi\)
\(200\) 7.18185e6 + 4.14644e6i 0.897732 + 0.518306i
\(201\) −1.04018e6 600549.i −0.128092 0.0739538i
\(202\) 206569. + 119263.i 0.0250617 + 0.0144694i
\(203\) −706253. 1.22327e6i −0.0844252 0.146229i
\(204\) 3.44397e6i 0.405666i
\(205\) −8.98435e6 + 5.18712e6i −1.04286 + 0.602094i
\(206\) −1.72561e6 996280.i −0.197397 0.113967i
\(207\) −1.51603e6 −0.170922
\(208\) −1.99610e6 + 3.45735e6i −0.221816 + 0.384197i
\(209\) −6.07830e6 + 3.50931e6i −0.665799 + 0.384399i
\(210\) 92009.7 + 159365.i 0.00993518 + 0.0172082i
\(211\) 3.99297e6i 0.425058i −0.977155 0.212529i \(-0.931830\pi\)
0.977155 0.212529i \(-0.0681701\pi\)
\(212\) 1.91844e6 + 3.32284e6i 0.201345 + 0.348740i
\(213\) 1.56925e6 0.162388
\(214\) 2.55099e6i 0.260296i
\(215\) −1.00027e7 + 1.46438e7i −1.00647 + 1.47346i
\(216\) −3.84610e6 −0.381645
\(217\) 1.95554e6i 0.191376i
\(218\) 830797. 479661.i 0.0801910 0.0462983i
\(219\) 6.20879e6 0.591118
\(220\) −7.99886e6 + 4.61814e6i −0.751208 + 0.433710i
\(221\) −2.80725e6 4.86230e6i −0.260078 0.450469i
\(222\) 956974. + 552509.i 0.0874664 + 0.0504988i
\(223\) 3.55058e6i 0.320173i −0.987103 0.160087i \(-0.948823\pi\)
0.987103 0.160087i \(-0.0511774\pi\)
\(224\) 387341. 670895.i 0.0344627 0.0596912i
\(225\) 9.95821e6 + 1.72481e7i 0.874246 + 1.51424i
\(226\) −5.13881e6 −0.445182
\(227\) 853015. 492488.i 0.0729254 0.0421035i −0.463094 0.886309i \(-0.653261\pi\)
0.536019 + 0.844206i \(0.319927\pi\)
\(228\) −3.69959e6 + 6.40788e6i −0.312140 + 0.540642i
\(229\) 1.00432e7 1.73953e7i 0.836307 1.44853i −0.0566542 0.998394i \(-0.518043\pi\)
0.892962 0.450133i \(-0.148623\pi\)
\(230\) 566969. 982018.i 0.0465989 0.0807116i
\(231\) −290119. −0.0235364
\(232\) −4.90890e6 + 8.50247e6i −0.393116 + 0.680897i
\(233\) −8.19208e6 4.72970e6i −0.647629 0.373909i 0.139918 0.990163i \(-0.455316\pi\)
−0.787547 + 0.616254i \(0.788649\pi\)
\(234\) 1.16991e6 675449.i 0.0913074 0.0527163i
\(235\) 1.05931e7 6.11595e6i 0.816245 0.471259i
\(236\) −1.29677e7 −0.986571
\(237\) 6.65356e6i 0.499815i
\(238\) 162396. + 281278.i 0.0120460 + 0.0208643i
\(239\) 3.16690e6 + 5.48523e6i 0.231975 + 0.401792i 0.958389 0.285465i \(-0.0921480\pi\)
−0.726414 + 0.687257i \(0.758815\pi\)
\(240\) −4.53893e6 + 7.86165e6i −0.328337 + 0.568696i
\(241\) 417468. + 241025.i 0.0298244 + 0.0172191i 0.514838 0.857287i \(-0.327852\pi\)
−0.485014 + 0.874507i \(0.661185\pi\)
\(242\) 2.54013e6i 0.179229i
\(243\) −1.24421e7 7.18345e6i −0.867111 0.500627i
\(244\) 1.28625e7 + 7.42616e6i 0.885432 + 0.511204i
\(245\) 2.24898e7 + 1.29845e7i 1.52928 + 0.882930i
\(246\) 548773. + 950502.i 0.0368627 + 0.0638481i
\(247\) 1.20625e7i 0.800469i
\(248\) 1.17712e7 6.79613e6i 0.771733 0.445560i
\(249\) 2.21970e6 + 1.28155e6i 0.143779 + 0.0830111i
\(250\) −8.07614e6 −0.516873
\(251\) 934315. 1.61828e6i 0.0590843 0.102337i −0.834970 0.550295i \(-0.814515\pi\)
0.894055 + 0.447958i \(0.147849\pi\)
\(252\) 1.06323e6 613854.i 0.0664392 0.0383587i
\(253\) 893865. + 1.54822e6i 0.0551963 + 0.0956029i
\(254\) 4.99620e6i 0.304887i
\(255\) −6.38339e6 1.10564e7i −0.384973 0.666793i
\(256\) 7.61336e6 0.453792
\(257\) 1.40240e7i 0.826177i 0.910691 + 0.413088i \(0.135550\pi\)
−0.910691 + 0.413088i \(0.864450\pi\)
\(258\) 1.54925e6 + 1.05824e6i 0.0902115 + 0.0616205i
\(259\) −1.63717e6 −0.0942313
\(260\) 1.58738e7i 0.903154i
\(261\) −2.04197e7 + 1.17893e7i −1.14849 + 0.663084i
\(262\) −985535. −0.0547984
\(263\) −6.26494e6 + 3.61707e6i −0.344389 + 0.198833i −0.662211 0.749317i \(-0.730382\pi\)
0.317822 + 0.948150i \(0.397049\pi\)
\(264\) 1.00826e6 + 1.74635e6i 0.0547972 + 0.0949116i
\(265\) −1.23177e7 7.11165e6i −0.661902 0.382149i
\(266\) 697797.i 0.0370753i
\(267\) 2.24353e6 3.88590e6i 0.117868 0.204154i
\(268\) −2.99682e6 5.19064e6i −0.155688 0.269660i
\(269\) −2.01129e7 −1.03328 −0.516640 0.856202i \(-0.672818\pi\)
−0.516640 + 0.856202i \(0.672818\pi\)
\(270\) 5.98324e6 3.45443e6i 0.303980 0.175503i
\(271\) 1.94097e7 3.36186e7i 0.975239 1.68916i 0.296096 0.955158i \(-0.404315\pi\)
0.679143 0.734006i \(-0.262352\pi\)
\(272\) −8.01114e6 + 1.38757e7i −0.398096 + 0.689522i
\(273\) 249305. 431809.i 0.0122530 0.0212228i
\(274\) −5.06222e6 −0.246087
\(275\) 1.17429e7 2.03392e7i 0.564646 0.977995i
\(276\) 1.63217e6 + 942332.i 0.0776314 + 0.0448205i
\(277\) −5.98733e6 + 3.45678e6i −0.281704 + 0.162642i −0.634195 0.773173i \(-0.718668\pi\)
0.352490 + 0.935815i \(0.385335\pi\)
\(278\) −3.43106e6 + 1.98092e6i −0.159696 + 0.0922005i
\(279\) 3.26435e7 1.50309
\(280\) 1.89501e6i 0.0863253i
\(281\) −4.68689e6 8.11794e6i −0.211235 0.365870i 0.740866 0.671653i \(-0.234415\pi\)
−0.952101 + 0.305783i \(0.901082\pi\)
\(282\) −647038. 1.12070e6i −0.0288524 0.0499739i
\(283\) −1.10408e6 + 1.91231e6i −0.0487124 + 0.0843723i −0.889353 0.457220i \(-0.848845\pi\)
0.840641 + 0.541593i \(0.182178\pi\)
\(284\) 6.78164e6 + 3.91538e6i 0.296060 + 0.170930i
\(285\) 2.74287e7i 1.18487i
\(286\) −1.37958e6 796500.i −0.0589723 0.0340477i
\(287\) −1.40824e6 813050.i −0.0595706 0.0343931i
\(288\) −1.11991e7 6.46581e6i −0.468820 0.270673i
\(289\) 802192. + 1.38944e6i 0.0332342 + 0.0575632i
\(290\) 1.76360e7i 0.723113i
\(291\) 7.90676e6 4.56497e6i 0.320863 0.185250i
\(292\) 2.68318e7 + 1.54913e7i 1.07771 + 0.622215i
\(293\) 4.03133e7 1.60268 0.801338 0.598212i \(-0.204122\pi\)
0.801338 + 0.598212i \(0.204122\pi\)
\(294\) 1.37370e6 2.37931e6i 0.0540566 0.0936288i
\(295\) 4.16310e7 2.40357e7i 1.62163 0.936247i
\(296\) 5.68969e6 + 9.85483e6i 0.219388 + 0.379991i
\(297\) 1.08923e7i 0.415767i
\(298\) −871221. 1.50900e6i −0.0329215 0.0570217i
\(299\) −3.07246e6 −0.114940
\(300\) 2.47592e7i 0.917007i
\(301\) −2.77175e6 210146.i −0.101638 0.00770585i
\(302\) −2.73470e6 −0.0992860
\(303\) 1.46961e6i 0.0528292i
\(304\) −2.98112e7 + 1.72115e7i −1.06111 + 0.612630i
\(305\) −5.50575e7 −1.94051
\(306\) 4.69532e6 2.71084e6i 0.163870 0.0946106i
\(307\) 2.54915e7 + 4.41526e7i 0.881010 + 1.52595i 0.850220 + 0.526428i \(0.176469\pi\)
0.0307904 + 0.999526i \(0.490198\pi\)
\(308\) −1.25377e6 723866.i −0.0429108 0.0247746i
\(309\) 1.22766e7i 0.416105i
\(310\) −1.22081e7 + 2.11450e7i −0.409791 + 0.709778i
\(311\) −2.73823e7 4.74275e7i −0.910308 1.57670i −0.813630 0.581384i \(-0.802512\pi\)
−0.0966783 0.995316i \(-0.530822\pi\)
\(312\) −3.46565e6 −0.114109
\(313\) −4.17501e7 + 2.41044e7i −1.36152 + 0.786075i −0.989826 0.142280i \(-0.954557\pi\)
−0.371695 + 0.928355i \(0.621223\pi\)
\(314\) −4.19257e6 + 7.26174e6i −0.135423 + 0.234559i
\(315\) −2.27556e6 + 3.94138e6i −0.0728041 + 0.126100i
\(316\) −1.66011e7 + 2.87539e7i −0.526108 + 0.911245i
\(317\) 5.92019e7 1.85848 0.929240 0.369476i \(-0.120463\pi\)
0.929240 + 0.369476i \(0.120463\pi\)
\(318\) −752379. + 1.30316e6i −0.0233967 + 0.0405243i
\(319\) 2.40793e7 + 1.39022e7i 0.741774 + 0.428263i
\(320\) −3.33513e7 + 1.92554e7i −1.01780 + 0.587628i
\(321\) −1.36115e7 + 7.85863e6i −0.411521 + 0.237592i
\(322\) 177738. 0.00532369
\(323\) 4.84113e7i 1.43661i
\(324\) −7.05826e6 1.22253e7i −0.207521 0.359437i
\(325\) 2.01817e7 + 3.49558e7i 0.587907 + 1.01828i
\(326\) 3.88961e6 6.73701e6i 0.112267 0.194453i
\(327\) −5.11873e6 2.95530e6i −0.146393 0.0845198i
\(328\) 1.13024e7i 0.320295i
\(329\) 1.66041e6 + 958638.i 0.0466259 + 0.0269195i
\(330\) −3.13701e6 1.81116e6i −0.0872920 0.0503981i
\(331\) −2.84765e7 1.64409e7i −0.785239 0.453358i 0.0530445 0.998592i \(-0.483107\pi\)
−0.838284 + 0.545234i \(0.816441\pi\)
\(332\) 6.39508e6 + 1.10766e7i 0.174756 + 0.302686i
\(333\) 2.73290e7i 0.740101i
\(334\) 1.20586e7 6.96202e6i 0.323636 0.186851i
\(335\) 1.92417e7 + 1.11092e7i 0.511810 + 0.295494i
\(336\) −1.42290e6 −0.0375108
\(337\) −6.32610e6 + 1.09571e7i −0.165290 + 0.286291i −0.936758 0.349977i \(-0.886189\pi\)
0.771468 + 0.636268i \(0.219523\pi\)
\(338\) −5.80972e6 + 3.35424e6i −0.150454 + 0.0868649i
\(339\) 1.58307e7 + 2.74196e7i 0.406351 + 0.703820i
\(340\) 6.37079e7i 1.62090i
\(341\) −1.92469e7 3.33365e7i −0.485397 0.840732i
\(342\) 1.16482e7 0.291193
\(343\) 8.18369e6i 0.202800i
\(344\) 8.36774e6 + 1.74146e7i 0.205557 + 0.427798i
\(345\) −6.98645e6 −0.170137
\(346\) 9.57504e6i 0.231160i
\(347\) −1.78574e7 + 1.03100e7i −0.427395 + 0.246756i −0.698236 0.715868i \(-0.746031\pi\)
0.270841 + 0.962624i \(0.412698\pi\)
\(348\) 2.93120e7 0.695516
\(349\) −1.36505e7 + 7.88109e6i −0.321123 + 0.185400i −0.651893 0.758311i \(-0.726025\pi\)
0.330770 + 0.943711i \(0.392691\pi\)
\(350\) −1.16749e6 2.02215e6i −0.0272300 0.0471638i
\(351\) −1.62119e7 9.35995e6i −0.374898 0.216447i
\(352\) 1.52492e7i 0.349638i
\(353\) −3.79415e7 + 6.57167e7i −0.862563 + 1.49400i 0.00688380 + 0.999976i \(0.497809\pi\)
−0.869447 + 0.494027i \(0.835525\pi\)
\(354\) −2.54286e6 4.40437e6i −0.0573209 0.0992828i
\(355\) −2.90286e7 −0.648846
\(356\) 1.93912e7 1.11955e7i 0.429788 0.248138i
\(357\) 1.00056e6 1.73302e6i 0.0219906 0.0380889i
\(358\) 4.95075e6 8.57495e6i 0.107900 0.186888i
\(359\) 1.59571e7 2.76386e7i 0.344883 0.597355i −0.640450 0.768000i \(-0.721252\pi\)
0.985333 + 0.170645i \(0.0545853\pi\)
\(360\) 3.16331e7 0.678007
\(361\) 2.84816e7 4.93316e7i 0.605401 1.04859i
\(362\) 1.00491e7 + 5.80183e6i 0.211836 + 0.122304i
\(363\) −1.35536e7 + 7.82515e6i −0.283357 + 0.163596i
\(364\) 2.15478e6 1.24406e6i 0.0446786 0.0257952i
\(365\) −1.14853e8 −2.36190
\(366\) 5.82482e6i 0.118806i
\(367\) 3.40534e7 + 5.89823e7i 0.688911 + 1.19323i 0.972191 + 0.234191i \(0.0752441\pi\)
−0.283280 + 0.959037i \(0.591423\pi\)
\(368\) 4.38399e6 + 7.59329e6i 0.0879683 + 0.152365i
\(369\) −1.35721e7 + 2.35075e7i −0.270127 + 0.467873i
\(370\) −1.77025e7 1.02205e7i −0.349486 0.201776i
\(371\) 2.22942e6i 0.0436586i
\(372\) −3.51441e7 2.02905e7i −0.682691 0.394152i
\(373\) 5.89924e7 + 3.40593e7i 1.13676 + 0.656310i 0.945627 0.325254i \(-0.105450\pi\)
0.191136 + 0.981564i \(0.438783\pi\)
\(374\) −5.53679e6 3.19667e6i −0.105838 0.0611058i
\(375\) 2.48795e7 + 4.30925e7i 0.471789 + 0.817162i
\(376\) 1.33263e7i 0.250695i
\(377\) −4.13836e7 + 2.38928e7i −0.772331 + 0.445906i
\(378\) 937838. + 541461.i 0.0173641 + 0.0100252i
\(379\) −7.34243e7 −1.34872 −0.674361 0.738402i \(-0.735581\pi\)
−0.674361 + 0.738402i \(0.735581\pi\)
\(380\) 6.84365e7 1.18535e8i 1.24720 2.16022i
\(381\) 2.66586e7 1.53914e7i 0.482018 0.278293i
\(382\) 9.42361e6 + 1.63222e7i 0.169055 + 0.292811i
\(383\) 3.36582e7i 0.599093i −0.954082 0.299547i \(-0.903165\pi\)
0.954082 0.299547i \(-0.0968354\pi\)
\(384\) 1.05868e7 + 1.83368e7i 0.186969 + 0.323840i
\(385\) 5.36674e6 0.0940434
\(386\) 3.16279e6i 0.0549931i
\(387\) −3.50792e6 + 4.62683e7i −0.0605225 + 0.798271i
\(388\) 4.55596e7 0.779982
\(389\) 6.56082e7i 1.11457i −0.830320 0.557287i \(-0.811842\pi\)
0.830320 0.557287i \(-0.188158\pi\)
\(390\) 5.39139e6 3.11272e6i 0.0908881 0.0524743i
\(391\) −1.23310e7 −0.206285
\(392\) 2.45019e7 1.41462e7i 0.406764 0.234845i
\(393\) 3.03605e6 + 5.25860e6i 0.0500186 + 0.0866348i
\(394\) 1.63681e7 + 9.45014e6i 0.267615 + 0.154507i
\(395\) 1.23080e8i 1.99709i
\(396\) −1.20834e7 + 2.09290e7i −0.194582 + 0.337026i
\(397\) 7.78074e6 + 1.34766e7i 0.124351 + 0.215382i 0.921479 0.388428i \(-0.126982\pi\)
−0.797128 + 0.603810i \(0.793648\pi\)
\(398\) −1.25960e7 −0.199795
\(399\) 3.72329e6 2.14965e6i 0.0586150 0.0338414i
\(400\) 5.75933e7 9.97545e7i 0.899895 1.55866i
\(401\) 1.77334e6 3.07152e6i 0.0275017 0.0476343i −0.851947 0.523628i \(-0.824578\pi\)
0.879449 + 0.475994i \(0.157912\pi\)
\(402\) 1.17530e6 2.03568e6i 0.0180913 0.0313351i
\(403\) 6.61568e7 1.01079
\(404\) 3.66677e6 6.35104e6i 0.0556084 0.0963165i
\(405\) 4.53190e7 + 2.61649e7i 0.682205 + 0.393871i
\(406\) 2.39399e6 1.38217e6i 0.0357720 0.0206530i
\(407\) 2.79092e7 1.61134e7i 0.413965 0.239003i
\(408\) −1.39090e7 −0.204793
\(409\) 7.63411e7i 1.11581i −0.829906 0.557903i \(-0.811606\pi\)
0.829906 0.557903i \(-0.188394\pi\)
\(410\) −1.01514e7 1.75828e7i −0.147291 0.255115i
\(411\) 1.55948e7 + 2.70109e7i 0.224622 + 0.389057i
\(412\) −3.06310e7 + 5.30544e7i −0.437995 + 0.758630i
\(413\) 6.52542e6 + 3.76745e6i 0.0926314 + 0.0534808i
\(414\) 2.96694e6i 0.0418127i
\(415\) −4.10609e7 2.37065e7i −0.574493 0.331684i
\(416\) −2.26966e7 1.31039e7i −0.315269 0.182021i
\(417\) 2.11395e7 + 1.22049e7i 0.291533 + 0.168317i
\(418\) −6.86786e6 1.18955e7i −0.0940357 0.162875i
\(419\) 4.94620e7i 0.672403i 0.941790 + 0.336202i \(0.109142\pi\)
−0.941790 + 0.336202i \(0.890858\pi\)
\(420\) 4.89975e6 2.82887e6i 0.0661341 0.0381826i
\(421\) −1.95818e7 1.13055e7i −0.262425 0.151511i 0.363015 0.931783i \(-0.381747\pi\)
−0.625440 + 0.780272i \(0.715081\pi\)
\(422\) 7.81442e6 0.103982
\(423\) 1.60024e7 2.77169e7i 0.211428 0.366204i
\(424\) −1.34198e7 + 7.74793e6i −0.176055 + 0.101645i
\(425\) 8.09972e7 + 1.40291e8i 1.05512 + 1.82753i
\(426\) 3.07109e6i 0.0397250i
\(427\) −4.31496e6 7.47374e6i −0.0554235 0.0959962i
\(428\) −7.84312e7 −1.00036
\(429\) 9.81484e6i 0.124311i
\(430\) −2.86586e7 1.95757e7i −0.360454 0.246214i
\(431\) −1.58064e8 −1.97425 −0.987125 0.159948i \(-0.948867\pi\)
−0.987125 + 0.159948i \(0.948867\pi\)
\(432\) 5.34216e7i 0.662621i
\(433\) 1.01929e8 5.88488e7i 1.25555 0.724893i 0.283345 0.959018i \(-0.408556\pi\)
0.972207 + 0.234125i \(0.0752225\pi\)
\(434\) −3.82709e6 −0.0468165
\(435\) −9.41018e7 + 5.43297e7i −1.14322 + 0.660039i
\(436\) −1.47473e7 2.55432e7i −0.177932 0.308187i
\(437\) −2.29431e7 1.32462e7i −0.274921 0.158726i
\(438\) 1.21509e7i 0.144606i
\(439\) −2.39904e7 + 4.15525e7i −0.283559 + 0.491138i −0.972259 0.233908i \(-0.924848\pi\)
0.688700 + 0.725047i \(0.258182\pi\)
\(440\) −1.86511e7 3.23047e7i −0.218951 0.379234i
\(441\) 6.79477e7 0.792244
\(442\) 9.51573e6 5.49391e6i 0.110198 0.0636231i
\(443\) 1.74298e7 3.01893e7i 0.200484 0.347249i −0.748200 0.663473i \(-0.769082\pi\)
0.948685 + 0.316224i \(0.102415\pi\)
\(444\) 1.69871e7 2.94225e7i 0.194075 0.336148i
\(445\) −4.15017e7 + 7.18830e7i −0.470962 + 0.815729i
\(446\) 6.94865e6 0.0783242
\(447\) −5.36779e6 + 9.29729e6i −0.0600998 + 0.104096i
\(448\) −5.22762e6 3.01817e6i −0.0581393 0.0335667i
\(449\) 8.26213e7 4.77014e7i 0.912752 0.526978i 0.0314367 0.999506i \(-0.489992\pi\)
0.881316 + 0.472528i \(0.156658\pi\)
\(450\) −3.37553e7 + 1.94886e7i −0.370429 + 0.213867i
\(451\) 3.20088e7 0.348931
\(452\) 1.57995e8i 1.71091i
\(453\) 8.42454e6 + 1.45917e7i 0.0906258 + 0.156968i
\(454\) 963821. + 1.66939e6i 0.0102998 + 0.0178398i
\(455\) −4.61174e6 + 7.98777e6i −0.0489588 + 0.0847991i
\(456\) −2.58792e7 1.49414e7i −0.272934 0.157578i
\(457\) 8.50365e7i 0.890957i −0.895293 0.445479i \(-0.853034\pi\)
0.895293 0.445479i \(-0.146966\pi\)
\(458\) 3.40434e7 + 1.96550e7i 0.354354 + 0.204586i
\(459\) −6.50647e7 3.75651e7i −0.672833 0.388460i
\(460\) −3.01925e7 1.74316e7i −0.310188 0.179087i
\(461\) −7.93376e7 1.37417e8i −0.809798 1.40261i −0.913004 0.407951i \(-0.866244\pi\)
0.103206 0.994660i \(-0.467090\pi\)
\(462\) 567776.i 0.00575773i
\(463\) −8.51141e7 + 4.91407e7i −0.857549 + 0.495106i −0.863191 0.504878i \(-0.831537\pi\)
0.00564201 + 0.999984i \(0.498204\pi\)
\(464\) 1.18098e8 + 6.81837e7i 1.18219 + 0.682537i
\(465\) 1.50433e8 1.49619
\(466\) 9.25623e6 1.60323e7i 0.0914695 0.158430i
\(467\) 9.87858e7 5.70340e7i 0.969938 0.559994i 0.0707208 0.997496i \(-0.477470\pi\)
0.899217 + 0.437502i \(0.144137\pi\)
\(468\) −2.07669e7 3.59694e7i −0.202598 0.350910i
\(469\) 3.48260e6i 0.0337587i
\(470\) 1.19692e7 + 2.07312e7i 0.115284 + 0.199678i
\(471\) 5.16628e7 0.494441
\(472\) 5.23723e7i 0.498053i
\(473\) 4.93188e7 2.36977e7i 0.466047 0.223936i
\(474\) −1.30213e7 −0.122270
\(475\) 3.48036e8i 3.24746i
\(476\) 8.64798e6 4.99292e6i 0.0801852 0.0462949i
\(477\) −3.72152e7 −0.342899
\(478\) −1.07348e7 + 6.19776e6i −0.0982906 + 0.0567481i
\(479\) −3.44914e7 5.97409e7i −0.313837 0.543582i 0.665352 0.746530i \(-0.268281\pi\)
−0.979190 + 0.202947i \(0.934948\pi\)
\(480\) −5.16097e7 2.97969e7i −0.466668 0.269431i
\(481\) 5.53861e7i 0.497698i
\(482\) −471697. + 817002.i −0.00421232 + 0.00729596i
\(483\) −547542. 948370.i −0.00485933 0.00841660i
\(484\) −7.80970e7 −0.688808
\(485\) −1.46262e8 + 8.44446e7i −1.28206 + 0.740196i
\(486\) 1.40583e7 2.43497e7i 0.122469 0.212122i
\(487\) −5.39696e7 + 9.34781e7i −0.467264 + 0.809325i −0.999301 0.0373964i \(-0.988094\pi\)
0.532037 + 0.846721i \(0.321427\pi\)
\(488\) −2.99917e7 + 5.19472e7i −0.258073 + 0.446995i
\(489\) −4.79296e7 −0.409899
\(490\) −2.54112e7 + 4.40135e7i −0.215992 + 0.374108i
\(491\) −1.04842e8 6.05305e7i −0.885708 0.511364i −0.0131718 0.999913i \(-0.504193\pi\)
−0.872536 + 0.488550i \(0.837526\pi\)
\(492\) 2.92235e7 1.68722e7i 0.245379 0.141670i
\(493\) −1.66088e8 + 9.58912e7i −1.38611 + 0.800272i
\(494\) 2.36067e7 0.195819
\(495\) 8.95859e7i 0.738625i
\(496\) −9.43969e7 1.63500e8i −0.773593 1.33990i
\(497\) −2.27503e6 3.94047e6i −0.0185318 0.0320981i
\(498\) −2.50804e6 + 4.34405e6i −0.0203070 + 0.0351728i
\(499\) 1.80985e8 + 1.04492e8i 1.45660 + 0.840970i 0.998842 0.0481061i \(-0.0153186\pi\)
0.457760 + 0.889076i \(0.348652\pi\)
\(500\) 2.48304e8i 1.98643i
\(501\) −7.42957e7 4.28946e7i −0.590813 0.341106i
\(502\) 3.16705e6 + 1.82850e6i 0.0250348 + 0.0144538i
\(503\) 1.34082e8 + 7.74123e7i 1.05358 + 0.608284i 0.923649 0.383240i \(-0.125192\pi\)
0.129929 + 0.991523i \(0.458525\pi\)
\(504\) 2.47915e6 + 4.29401e6i 0.0193647 + 0.0335407i
\(505\) 2.71854e7i 0.211087i
\(506\) −3.02993e6 + 1.74933e6i −0.0233874 + 0.0135027i
\(507\) 3.57950e7 + 2.06663e7i 0.274662 + 0.158576i
\(508\) 1.53610e8 1.17173
\(509\) −7.70709e6 + 1.33491e7i −0.0584436 + 0.101227i −0.893767 0.448532i \(-0.851947\pi\)
0.835323 + 0.549759i \(0.185280\pi\)
\(510\) 2.16378e7 1.24926e7i 0.163118 0.0941762i
\(511\) −9.00123e6 1.55906e7i −0.0674589 0.116842i
\(512\) 1.27284e8i 0.948340i
\(513\) −8.07066e7 1.39788e8i −0.597802 1.03542i
\(514\) −2.74456e7 −0.202108
\(515\) 2.27098e8i 1.66261i
\(516\) 3.25360e7 4.76321e7i 0.236818 0.346698i
\(517\) −3.77404e7 −0.273109
\(518\) 3.20402e6i 0.0230518i
\(519\) 5.10903e7 2.94970e7i 0.365457 0.210997i
\(520\) 6.41090e7 0.455941
\(521\) 4.59888e7 2.65516e7i 0.325191 0.187749i −0.328513 0.944499i \(-0.606547\pi\)
0.653704 + 0.756750i \(0.273214\pi\)
\(522\) −2.30723e7 3.99623e7i −0.162210 0.280957i
\(523\) −1.52865e6 882564.i −0.0106857 0.00616938i 0.494648 0.869094i \(-0.335297\pi\)
−0.505333 + 0.862924i \(0.668630\pi\)
\(524\) 3.03006e7i 0.210600i
\(525\) −7.19316e6 + 1.24589e7i −0.0497098 + 0.0860999i
\(526\) −7.07876e6 1.22608e7i −0.0486407 0.0842481i
\(527\) 2.65513e8 1.81407
\(528\) 2.42564e7 1.40045e7i 0.164788 0.0951403i
\(529\) 7.06440e7 1.22359e8i 0.477208 0.826549i
\(530\) 1.39178e7 2.41064e7i 0.0934853 0.161921i
\(531\) 6.28893e7 1.08928e8i 0.420043 0.727535i
\(532\) 2.14540e7 0.142487
\(533\) −2.75058e7 + 4.76414e7i −0.181653 + 0.314632i
\(534\) 7.60488e6 + 4.39068e6i 0.0499423 + 0.0288342i
\(535\) 2.51792e8 1.45372e8i 1.64430 0.949335i
\(536\) 2.09632e7 1.21031e7i 0.136133 0.0785965i
\(537\) −6.10054e7 −0.393954
\(538\) 3.93619e7i 0.252772i
\(539\) −4.00625e7 6.93903e7i −0.255842 0.443131i
\(540\) −1.06208e8 1.83957e8i −0.674488 1.16825i
\(541\) 7.96691e7 1.37991e8i 0.503150 0.871482i −0.496843 0.867841i \(-0.665507\pi\)
0.999993 0.00364171i \(-0.00115919\pi\)
\(542\) 6.57931e7 + 3.79857e7i 0.413221 + 0.238573i
\(543\) 7.14929e7i 0.446543i
\(544\) −9.10904e7 5.25911e7i −0.565817 0.326675i
\(545\) 9.46884e7 + 5.46684e7i 0.584934 + 0.337712i
\(546\) 845069. + 487901.i 0.00519175 + 0.00299746i
\(547\) −9.96347e7 1.72572e8i −0.608763 1.05441i −0.991445 0.130529i \(-0.958333\pi\)
0.382681 0.923881i \(-0.375001\pi\)
\(548\) 1.55640e8i 0.945755i
\(549\) −1.24758e8 + 7.20289e7i −0.753963 + 0.435301i
\(550\) 3.98048e7 + 2.29813e7i 0.239247 + 0.138130i
\(551\) −4.12034e8 −2.46308
\(552\) −3.80576e6 + 6.59177e6i −0.0226269 + 0.0391909i
\(553\) 1.67074e7 9.64604e6i 0.0987949 0.0570393i
\(554\) −6.76508e6 1.17175e7i −0.0397872 0.0689135i
\(555\) 1.25942e8i 0.736703i
\(556\) 6.09042e7 + 1.05489e8i 0.354342 + 0.613738i
\(557\) 2.13546e8 1.23573 0.617867 0.786283i \(-0.287997\pi\)
0.617867 + 0.786283i \(0.287997\pi\)
\(558\) 6.38848e7i 0.367701i
\(559\) −7.10930e6 + 9.37693e7i −0.0406997 + 0.536816i
\(560\) 2.63214e7 0.149880
\(561\) 3.93908e7i 0.223103i
\(562\) 1.58872e7 9.17245e6i 0.0895029 0.0516745i
\(563\) 1.75125e8 0.981350 0.490675 0.871343i \(-0.336750\pi\)
0.490675 + 0.871343i \(0.336750\pi\)
\(564\) −3.44564e7 + 1.98934e7i −0.192058 + 0.110885i
\(565\) −2.92843e8 5.07219e8i −1.62364 2.81222i
\(566\) −3.74248e6 2.16072e6i −0.0206400 0.0119165i
\(567\) 8.20239e6i 0.0449978i
\(568\) −1.58129e7 + 2.73888e7i −0.0862912 + 0.149461i
\(569\) 6.32172e7 + 1.09495e8i 0.343161 + 0.594373i 0.985018 0.172452i \(-0.0551689\pi\)
−0.641857 + 0.766825i \(0.721836\pi\)
\(570\) 5.36792e7 0.289856
\(571\) −1.18626e8 + 6.84885e7i −0.637191 + 0.367882i −0.783532 0.621352i \(-0.786584\pi\)
0.146341 + 0.989234i \(0.453250\pi\)
\(572\) −2.44887e7 + 4.24156e7i −0.130851 + 0.226641i
\(573\) 5.80610e7 1.00565e8i 0.308618 0.534542i
\(574\) 1.59117e6 2.75599e6i 0.00841360 0.0145728i
\(575\) 8.86493e7 0.466307
\(576\) −5.03817e7 + 8.72636e7i −0.263636 + 0.456631i
\(577\) 1.14132e8 + 6.58943e7i 0.594130 + 0.343021i 0.766729 0.641971i \(-0.221883\pi\)
−0.172599 + 0.984992i \(0.555217\pi\)
\(578\) −2.71919e6 + 1.56992e6i −0.0140817 + 0.00813009i
\(579\) −1.68759e7 + 9.74333e6i −0.0869425 + 0.0501963i
\(580\) −5.42225e8 −2.77904
\(581\) 7.43172e6i 0.0378932i
\(582\) 8.93384e6 + 1.54739e7i 0.0453179 + 0.0784928i
\(583\) 2.19424e7 + 3.80053e7i 0.110733 + 0.191796i
\(584\) −6.25642e7 + 1.08364e8i −0.314114 + 0.544062i
\(585\) 1.33338e8 + 7.69829e7i 0.666020 + 0.384527i
\(586\) 7.88949e7i 0.392063i
\(587\) −1.77267e8 1.02345e8i −0.876423 0.506003i −0.00694580 0.999976i \(-0.502211\pi\)
−0.869477 + 0.493973i \(0.835544\pi\)
\(588\) −7.31528e7 4.22348e7i −0.359831 0.207749i
\(589\) 4.94016e8 + 2.85220e8i 2.41766 + 1.39584i
\(590\) 4.70389e7 + 8.14738e7i 0.229035 + 0.396700i
\(591\) 1.16449e8i 0.564122i
\(592\) 1.36882e8 7.90286e7i 0.659751 0.380907i
\(593\) −2.36883e8 1.36764e8i −1.13598 0.655856i −0.190545 0.981678i \(-0.561025\pi\)
−0.945431 + 0.325823i \(0.894359\pi\)
\(594\) −2.13167e7 −0.101709
\(595\) −1.85087e7 + 3.20580e7i −0.0878669 + 0.152190i
\(596\) −4.63947e7 + 2.67860e7i −0.219144 + 0.126523i
\(597\) 3.88035e7 + 6.72097e7i 0.182368 + 0.315870i
\(598\) 6.01294e6i 0.0281179i
\(599\) 1.33167e8 + 2.30651e8i 0.619605 + 1.07319i 0.989558 + 0.144136i \(0.0460404\pi\)
−0.369953 + 0.929050i \(0.620626\pi\)
\(600\) 9.99940e7 0.462935
\(601\) 3.23099e8i 1.48837i −0.667972 0.744187i \(-0.732837\pi\)
0.667972 0.744187i \(-0.267163\pi\)
\(602\) 411264. 5.42443e6i 0.00188509 0.0248636i
\(603\) 5.81344e7 0.265144
\(604\) 8.40792e7i 0.381573i
\(605\) 2.50719e8 1.44753e8i 1.13219 0.653673i
\(606\) 2.87609e6 0.0129236
\(607\) 4.25740e7 2.45801e7i 0.190361 0.109905i −0.401790 0.915732i \(-0.631612\pi\)
0.592152 + 0.805826i \(0.298279\pi\)
\(608\) −1.12989e8 1.95703e8i −0.502719 0.870736i
\(609\) −1.47499e7 8.51586e6i −0.0653036 0.0377030i
\(610\) 1.07750e8i 0.474709i
\(611\) 3.24311e7 5.61723e7i 0.142180 0.246263i
\(612\) −8.33458e7 1.44359e8i −0.363605 0.629782i
\(613\) −1.51047e8 −0.655740 −0.327870 0.944723i \(-0.606331\pi\)
−0.327870 + 0.944723i \(0.606331\pi\)
\(614\) −8.64086e7 + 4.98880e7i −0.373295 + 0.215522i
\(615\) −6.25452e7 + 1.08331e8i −0.268886 + 0.465725i
\(616\) 2.92345e6 5.06356e6i 0.0125070 0.0216628i
\(617\) −1.91344e8 + 3.31418e8i −0.814629 + 1.41098i 0.0949642 + 0.995481i \(0.469726\pi\)
−0.909594 + 0.415499i \(0.863607\pi\)
\(618\) −2.40259e7 −0.101792
\(619\) −1.04919e8 + 1.81725e8i −0.442366 + 0.766200i −0.997865 0.0653174i \(-0.979194\pi\)
0.555499 + 0.831517i \(0.312527\pi\)
\(620\) 6.50110e8 + 3.75341e8i 2.72780 + 1.57489i
\(621\) −3.56058e7 + 2.05570e7i −0.148678 + 0.0858391i
\(622\) 9.28176e7 5.35883e7i 0.385709 0.222689i
\(623\) −1.30103e7 −0.0538050
\(624\) 4.81372e7i 0.198119i
\(625\) −1.93619e8 3.35358e8i −0.793064 1.37363i
\(626\) −4.71734e7 8.17068e7i −0.192298 0.333070i
\(627\) −4.23145e7 + 7.32908e7i −0.171667 + 0.297336i
\(628\) 2.23265e8 + 1.28902e8i 0.901449 + 0.520452i
\(629\) 2.22286e8i 0.893224i
\(630\) −7.71345e6 4.45336e6i −0.0308480 0.0178101i
\(631\) 1.93688e6 + 1.11826e6i 0.00770928 + 0.00445096i 0.503850 0.863791i \(-0.331917\pi\)
−0.496140 + 0.868242i \(0.665250\pi\)
\(632\) −1.16127e8 6.70461e7i −0.460026 0.265596i
\(633\) −2.40732e7 4.16960e7i −0.0949124 0.164393i
\(634\) 1.15861e8i 0.454641i
\(635\) −4.93142e8 + 2.84716e8i −1.92598 + 1.11196i
\(636\) 4.00661e7 + 2.31322e7i 0.155742 + 0.0899176i
\(637\) 1.37706e8 0.532763
\(638\) −2.72072e7 + 4.71242e7i −0.104766 + 0.181460i
\(639\) −6.57775e7 + 3.79767e7i −0.252101 + 0.145551i
\(640\) −1.95839e8 3.39202e8i −0.747065 1.29395i
\(641\) 1.87082e8i 0.710328i 0.934804 + 0.355164i \(0.115575\pi\)
−0.934804 + 0.355164i \(0.884425\pi\)
\(642\) −1.53797e7 2.66384e7i −0.0581222 0.100671i
\(643\) −9.03837e7 −0.339983 −0.169992 0.985446i \(-0.554374\pi\)
−0.169992 + 0.985446i \(0.554374\pi\)
\(644\) 5.46461e6i 0.0204598i
\(645\) −1.61658e7 + 2.13221e8i −0.0602446 + 0.794605i
\(646\) 9.47431e7 0.351439
\(647\) 4.34673e8i 1.60491i 0.596714 + 0.802454i \(0.296473\pi\)
−0.596714 + 0.802454i \(0.703527\pi\)
\(648\) 4.93737e7 2.85059e7i 0.181456 0.104763i
\(649\) −1.48320e8 −0.542583
\(650\) −6.84100e7 + 3.94965e7i −0.249103 + 0.143820i
\(651\) 1.17898e7 + 2.04205e7i 0.0427329 + 0.0740156i
\(652\) −2.07132e8 1.19587e8i −0.747315 0.431462i
\(653\) 3.49922e8i 1.25670i −0.777931 0.628350i \(-0.783731\pi\)
0.777931 0.628350i \(-0.216269\pi\)
\(654\) 5.78366e6 1.00176e7i 0.0206761 0.0358121i
\(655\) −5.61621e7 9.72756e7i −0.199857 0.346163i
\(656\) 1.56988e8 0.556103
\(657\) −2.60251e8 + 1.50256e8i −0.917690 + 0.529828i
\(658\) −1.87610e6 + 3.24949e6i −0.00658533 + 0.0114061i
\(659\) 1.57401e8 2.72626e8i 0.549984 0.952601i −0.448290 0.893888i \(-0.647967\pi\)
0.998275 0.0587130i \(-0.0186997\pi\)
\(660\) −5.56846e7 + 9.64486e7i −0.193688 + 0.335478i
\(661\) 1.50637e8 0.521588 0.260794 0.965395i \(-0.416016\pi\)
0.260794 + 0.965395i \(0.416016\pi\)
\(662\) 3.21755e7 5.57297e7i 0.110905 0.192093i
\(663\) −5.86286e7 3.38492e7i −0.201173 0.116147i
\(664\) −4.47346e7 + 2.58276e7i −0.152806 + 0.0882224i
\(665\) −6.88750e7 + 3.97650e7i −0.234205 + 0.135218i
\(666\) −5.34840e7 −0.181051
\(667\) 1.04950e8i 0.353677i
\(668\) −2.14050e8 3.70745e8i −0.718101 1.24379i
\(669\) −2.14061e7 3.70765e7i −0.0714923 0.123828i
\(670\) −2.17412e7 + 3.76568e7i −0.0722868 + 0.125204i
\(671\) 1.47116e8 + 8.49375e7i 0.486959 + 0.281146i
\(672\) 9.34096e6i 0.0307811i
\(673\) 4.95395e8 + 2.86016e8i 1.62520 + 0.938308i 0.985499 + 0.169683i \(0.0542743\pi\)
0.639699 + 0.768626i \(0.279059\pi\)
\(674\) −2.14436e7 1.23805e7i −0.0700354 0.0404349i
\(675\) 4.67760e8 + 2.70061e8i 1.52094 + 0.878114i
\(676\) 1.03127e8 + 1.78622e8i 0.333836 + 0.578222i
\(677\) 4.29516e8i 1.38425i −0.721780 0.692123i \(-0.756676\pi\)
0.721780 0.692123i \(-0.243324\pi\)
\(678\) −5.36613e7 + 3.09814e7i −0.172176 + 0.0994058i
\(679\) −2.29258e7 1.32362e7i −0.0732343 0.0422818i
\(680\) 2.57294e8 0.818283
\(681\) 5.93832e6 1.02855e7i 0.0188028 0.0325674i
\(682\) 6.52411e7 3.76670e7i 0.205669 0.118743i
\(683\) 1.38069e8 + 2.39142e8i 0.433344 + 0.750574i 0.997159 0.0753273i \(-0.0240002\pi\)
−0.563815 + 0.825901i \(0.690667\pi\)
\(684\) 3.58128e8i 1.11910i
\(685\) −2.88478e8 4.99659e8i −0.897513 1.55454i
\(686\) −1.60158e7 −0.0496109
\(687\) 2.42198e8i 0.746965i
\(688\) 2.41886e8 1.16226e8i 0.742754 0.356894i
\(689\) −7.54220e7 −0.230590
\(690\) 1.36728e7i 0.0416207i
\(691\) −1.42399e8 + 8.22139e7i −0.431591 + 0.249179i −0.700024 0.714119i \(-0.746827\pi\)
0.268433 + 0.963298i \(0.413494\pi\)
\(692\) 2.94388e8 0.888386
\(693\) 1.21608e7 7.02103e6i 0.0365394 0.0210961i
\(694\) −2.01770e7 3.49477e7i −0.0603641 0.104554i
\(695\) −3.91048e8 2.25771e8i −1.16486 0.672535i
\(696\) 1.18381e8i 0.351119i
\(697\) −1.10391e8 + 1.91204e8i −0.326015 + 0.564674i
\(698\) −1.54236e7 2.67145e7i −0.0453545 0.0785564i
\(699\) −1.14060e8 −0.333964
\(700\) −6.21716e7 + 3.58948e7i −0.181258 + 0.104650i
\(701\) 8.70026e7 1.50693e8i 0.252568 0.437460i −0.711664 0.702520i \(-0.752058\pi\)
0.964232 + 0.265059i \(0.0853916\pi\)
\(702\) 1.83178e7 3.17274e7i 0.0529496 0.0917114i
\(703\) −2.38785e8 + 4.13588e8i −0.687292 + 1.19042i
\(704\) 1.18822e8 0.340547
\(705\) 7.37448e7 1.27730e8i 0.210457 0.364523i
\(706\) −1.28610e8 7.42532e7i −0.365479 0.211009i
\(707\) −3.69027e6 + 2.13058e6i −0.0104424 + 0.00602892i
\(708\) −1.35414e8 + 7.81812e7i −0.381560 + 0.220294i
\(709\) 3.35885e8 0.942437 0.471218 0.882017i \(-0.343814\pi\)
0.471218 + 0.882017i \(0.343814\pi\)
\(710\) 5.68103e7i 0.158727i
\(711\) −1.61020e8 2.78894e8i −0.447991 0.775944i
\(712\) 4.52148e7 + 7.83143e7i 0.125268 + 0.216971i
\(713\) 7.26492e7 1.25832e8i 0.200430 0.347155i
\(714\) 3.39159e6 + 1.95814e6i 0.00931770 + 0.00537958i
\(715\) 1.81559e8i 0.496706i
\(716\) −2.63640e8 1.52212e8i −0.718244 0.414678i
\(717\) 6.61398e7 + 3.81858e7i 0.179434 + 0.103596i
\(718\) 5.40899e7 + 3.12288e7i 0.146131 + 0.0843689i
\(719\) 2.85826e7 + 4.95064e7i 0.0768979 + 0.133191i 0.901910 0.431924i \(-0.142165\pi\)
−0.825012 + 0.565115i \(0.808832\pi\)
\(720\) 4.39377e8i 1.17717i
\(721\) 3.08272e7 1.77981e7i 0.0822487 0.0474863i
\(722\) 9.65441e7 + 5.57398e7i 0.256516 + 0.148100i
\(723\) 5.81246e6 0.0153796
\(724\) 1.78379e8 3.08962e8i 0.470034 0.814122i
\(725\) 1.19403e9 6.89376e8i 3.13330 1.80901i
\(726\) −1.53142e7 2.65249e7i −0.0400206 0.0693176i
\(727\) 6.56586e8i 1.70879i 0.519626 + 0.854394i \(0.326071\pi\)
−0.519626 + 0.854394i \(0.673929\pi\)
\(728\) 5.02435e6 + 8.70243e6i 0.0130222 + 0.0225552i
\(729\) −2.20204e6 −0.00568385
\(730\) 2.24772e8i 0.577794i
\(731\) −2.85324e7 + 3.76333e8i −0.0730443 + 0.963429i
\(732\) 1.79086e8 0.456592
\(733\) 4.27478e7i 0.108543i −0.998526 0.0542716i \(-0.982716\pi\)
0.998526 0.0542716i \(-0.0172837\pi\)
\(734\) −1.15431e8 + 6.66441e7i −0.291900 + 0.168529i
\(735\) 3.13128e8 0.788607
\(736\) −4.98480e7 + 2.87798e7i −0.125030 + 0.0721861i
\(737\) −3.42765e7 5.93686e7i −0.0856236 0.148304i
\(738\) −4.60053e7 2.65612e7i −0.114456 0.0660812i
\(739\) 1.13630e8i 0.281554i 0.990041 + 0.140777i \(0.0449600\pi\)
−0.990041 + 0.140777i \(0.955040\pi\)
\(740\) −3.14234e8 + 5.44269e8i −0.775457 + 1.34313i
\(741\) −7.27233e7 1.25960e8i −0.178739 0.309585i
\(742\) 4.36307e6 0.0106802
\(743\) −6.59741e8 + 3.80902e8i −1.60845 + 0.928638i −0.618731 + 0.785603i \(0.712353\pi\)
−0.989718 + 0.143036i \(0.954314\pi\)
\(744\) 8.19464e7 1.41935e8i 0.198981 0.344645i
\(745\) 9.92956e7 1.71985e8i 0.240138 0.415931i
\(746\) −6.66555e7 + 1.15451e8i −0.160553 + 0.278087i
\(747\) −1.24056e8 −0.297616
\(748\) −9.82826e7 + 1.70230e8i −0.234840 + 0.406755i
\(749\) 3.94669e7 + 2.27862e7i 0.0939263 + 0.0542284i
\(750\) −8.43339e7 + 4.86902e7i −0.199903 + 0.115414i
\(751\) 3.52805e8 2.03692e8i 0.832943 0.480900i −0.0219163 0.999760i \(-0.506977\pi\)
0.854859 + 0.518860i \(0.173643\pi\)
\(752\) −1.85099e8 −0.435262
\(753\) 2.25316e7i 0.0527723i
\(754\) −4.67593e7 8.09894e7i −0.109082 0.188936i
\(755\) −1.55841e8 2.69924e8i −0.362109 0.627192i
\(756\) 1.66474e7 2.88341e7i 0.0385284 0.0667332i
\(757\) −1.24829e8 7.20703e7i −0.287759 0.166138i 0.349172 0.937059i \(-0.386463\pi\)
−0.636931 + 0.770921i \(0.719796\pi\)
\(758\) 1.43695e8i 0.329938i
\(759\) 1.86681e7 + 1.07780e7i 0.0426948 + 0.0246499i
\(760\) 4.78724e8 + 2.76392e8i 1.09055 + 0.629628i
\(761\) 8.24324e7 + 4.75924e7i 0.187044 + 0.107990i 0.590598 0.806966i \(-0.298892\pi\)
−0.403554 + 0.914956i \(0.632225\pi\)
\(762\) 3.01216e7 + 5.21721e7i 0.0680790 + 0.117916i
\(763\) 1.71379e7i 0.0385819i
\(764\) 5.01831e8 2.89732e8i 1.12532 0.649706i