Properties

Label 43.7.d.a.7.15
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 7.15
Character \(\chi\) \(=\) 43.7
Dual form 43.7.d.a.37.7

$q$-expansion

\(f(q)\) \(=\) \(q+7.38637i q^{2} +(-8.75832 + 5.05662i) q^{3} +9.44147 q^{4} +(10.2848 - 5.93793i) q^{5} +(-37.3501 - 64.6923i) q^{6} +(367.060 + 211.922i) q^{7} +542.466i q^{8} +(-313.361 + 542.757i) q^{9} +O(q^{10})\) \(q+7.38637i q^{2} +(-8.75832 + 5.05662i) q^{3} +9.44147 q^{4} +(10.2848 - 5.93793i) q^{5} +(-37.3501 - 64.6923i) q^{6} +(367.060 + 211.922i) q^{7} +542.466i q^{8} +(-313.361 + 542.757i) q^{9} +(43.8598 + 75.9673i) q^{10} -1647.75 q^{11} +(-82.6914 + 47.7419i) q^{12} +(1102.09 - 1908.88i) q^{13} +(-1565.34 + 2711.24i) q^{14} +(-60.0517 + 104.013i) q^{15} -3402.60 q^{16} +(-2127.60 + 3685.11i) q^{17} +(-4009.01 - 2314.60i) q^{18} +(-2140.56 + 1235.86i) q^{19} +(97.1035 - 56.0628i) q^{20} -4286.44 q^{21} -12170.9i q^{22} +(1161.42 + 2011.64i) q^{23} +(-2743.05 - 4751.10i) q^{24} +(-7741.98 + 13409.5i) q^{25} +(14099.7 + 8140.48i) q^{26} -13710.7i q^{27} +(3465.58 + 2000.86i) q^{28} +(-12799.5 - 7389.81i) q^{29} +(-768.276 - 443.564i) q^{30} +(27047.2 + 46847.2i) q^{31} +9584.92i q^{32} +(14431.6 - 8332.07i) q^{33} +(-27219.6 - 15715.3i) q^{34} +5033.51 q^{35} +(-2958.59 + 5124.43i) q^{36} +(58255.9 - 33634.1i) q^{37} +(-9128.49 - 15811.0i) q^{38} +22291.5i q^{39} +(3221.12 + 5579.15i) q^{40} +124207. q^{41} -31661.2i q^{42} +(41789.3 - 67638.9i) q^{43} -15557.2 q^{44} +7442.86i q^{45} +(-14858.7 + 8578.70i) q^{46} -82727.9 q^{47} +(29801.1 - 17205.7i) q^{48} +(30997.4 + 53689.1i) q^{49} +(-99047.6 - 57185.2i) q^{50} -43033.9i q^{51} +(10405.4 - 18022.6i) q^{52} +(-69442.7 - 120278. i) q^{53} +101273. q^{54} +(-16946.8 + 9784.24i) q^{55} +(-114961. + 199118. i) q^{56} +(12498.5 - 21648.0i) q^{57} +(54583.9 - 94542.1i) q^{58} +218398. q^{59} +(-566.976 + 982.032i) q^{60} +(-56523.7 - 32634.0i) q^{61} +(-346031. + 199781. i) q^{62} +(-230045. + 132816. i) q^{63} -288565. q^{64} -26176.6i q^{65} +(61543.8 + 106597. i) q^{66} +(183226. + 317357. i) q^{67} +(-20087.7 + 34792.9i) q^{68} +(-20344.2 - 11745.7i) q^{69} +37179.4i q^{70} +(119935. + 69244.7i) q^{71} +(-294428. - 169988. i) q^{72} +(414881. + 239532. i) q^{73} +(248434. + 430300. i) q^{74} -156593. i q^{75} +(-20210.1 + 11668.3i) q^{76} +(-604824. - 349195. i) q^{77} -164653. q^{78} +(453069. - 784739. i) q^{79} +(-34995.1 + 20204.4i) q^{80} +(-159110. - 275587. i) q^{81} +917437. i q^{82} +(-155641. - 269579. i) q^{83} -40470.3 q^{84} +50534.2i q^{85} +(499606. + 308671. i) q^{86} +149470. q^{87} -893851. i q^{88} +(-579242. + 334425. i) q^{89} -54975.8 q^{90} +(809068. - 467116. i) q^{91} +(10965.5 + 18992.9i) q^{92} +(-473777. - 273535. i) q^{93} -611059. i q^{94} +(-14676.8 + 25421.0i) q^{95} +(-48467.3 - 83947.9i) q^{96} +731097. q^{97} +(-396568. + 228958. i) q^{98} +(516342. - 894331. 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 7.38637i 0.923297i 0.887063 + 0.461648i \(0.152742\pi\)
−0.887063 + 0.461648i \(0.847258\pi\)
\(3\) −8.75832 + 5.05662i −0.324382 + 0.187282i −0.653344 0.757061i \(-0.726635\pi\)
0.328962 + 0.944343i \(0.393301\pi\)
\(4\) 9.44147 0.147523
\(5\) 10.2848 5.93793i 0.0822783 0.0475034i −0.458296 0.888799i \(-0.651540\pi\)
0.540575 + 0.841296i \(0.318207\pi\)
\(6\) −37.3501 64.6923i −0.172917 0.299501i
\(7\) 367.060 + 211.922i 1.07015 + 0.617849i 0.928221 0.372029i \(-0.121338\pi\)
0.141924 + 0.989878i \(0.454671\pi\)
\(8\) 542.466i 1.05950i
\(9\) −313.361 + 542.757i −0.429851 + 0.744523i
\(10\) 43.8598 + 75.9673i 0.0438598 + 0.0759673i
\(11\) −1647.75 −1.23798 −0.618991 0.785398i \(-0.712458\pi\)
−0.618991 + 0.785398i \(0.712458\pi\)
\(12\) −82.6914 + 47.7419i −0.0478538 + 0.0276284i
\(13\) 1102.09 1908.88i 0.501636 0.868858i −0.498363 0.866969i \(-0.666065\pi\)
0.999998 0.00188971i \(-0.000601514\pi\)
\(14\) −1565.34 + 2711.24i −0.570458 + 0.988062i
\(15\) −60.0517 + 104.013i −0.0177931 + 0.0308185i
\(16\) −3402.60 −0.830714
\(17\) −2127.60 + 3685.11i −0.433056 + 0.750074i −0.997135 0.0756465i \(-0.975898\pi\)
0.564079 + 0.825721i \(0.309231\pi\)
\(18\) −4009.01 2314.60i −0.687416 0.396880i
\(19\) −2140.56 + 1235.86i −0.312081 + 0.180180i −0.647857 0.761762i \(-0.724335\pi\)
0.335776 + 0.941942i \(0.391001\pi\)
\(20\) 97.1035 56.0628i 0.0121379 0.00700784i
\(21\) −4286.44 −0.462848
\(22\) 12170.9i 1.14302i
\(23\) 1161.42 + 2011.64i 0.0954567 + 0.165336i 0.909799 0.415049i \(-0.136236\pi\)
−0.814342 + 0.580385i \(0.802902\pi\)
\(24\) −2743.05 4751.10i −0.198426 0.343685i
\(25\) −7741.98 + 13409.5i −0.495487 + 0.858208i
\(26\) 14099.7 + 8140.48i 0.802214 + 0.463159i
\(27\) 13710.7i 0.696578i
\(28\) 3465.58 + 2000.86i 0.157871 + 0.0911468i
\(29\) −12799.5 7389.81i −0.524808 0.302998i 0.214092 0.976814i \(-0.431321\pi\)
−0.738899 + 0.673816i \(0.764654\pi\)
\(30\) −768.276 443.564i −0.0284547 0.0164283i
\(31\) 27047.2 + 46847.2i 0.907900 + 1.57253i 0.816977 + 0.576670i \(0.195648\pi\)
0.0909226 + 0.995858i \(0.471018\pi\)
\(32\) 9584.92i 0.292509i
\(33\) 14431.6 8332.07i 0.401580 0.231852i
\(34\) −27219.6 15715.3i −0.692541 0.399839i
\(35\) 5033.51 0.117400
\(36\) −2958.59 + 5124.43i −0.0634128 + 0.109834i
\(37\) 58255.9 33634.1i 1.15010 0.664009i 0.201187 0.979553i \(-0.435520\pi\)
0.948911 + 0.315543i \(0.102187\pi\)
\(38\) −9128.49 15811.0i −0.166360 0.288143i
\(39\) 22291.5i 0.375790i
\(40\) 3221.12 + 5579.15i 0.0503301 + 0.0871742i
\(41\) 124207. 1.80216 0.901080 0.433652i \(-0.142775\pi\)
0.901080 + 0.433652i \(0.142775\pi\)
\(42\) 31661.2i 0.427346i
\(43\) 41789.3 67638.9i 0.525605 0.850729i
\(44\) −15557.2 −0.182631
\(45\) 7442.86i 0.0816775i
\(46\) −14858.7 + 8578.70i −0.152654 + 0.0881349i
\(47\) −82727.9 −0.796817 −0.398408 0.917208i \(-0.630437\pi\)
−0.398408 + 0.917208i \(0.630437\pi\)
\(48\) 29801.1 17205.7i 0.269469 0.155578i
\(49\) 30997.4 + 53689.1i 0.263474 + 0.456350i
\(50\) −99047.6 57185.2i −0.792381 0.457481i
\(51\) 43033.9i 0.324414i
\(52\) 10405.4 18022.6i 0.0740028 0.128177i
\(53\) −69442.7 120278.i −0.466443 0.807903i 0.532822 0.846227i \(-0.321131\pi\)
−0.999265 + 0.0383238i \(0.987798\pi\)
\(54\) 101273. 0.643148
\(55\) −16946.8 + 9784.24i −0.101859 + 0.0588084i
\(56\) −114961. + 199118.i −0.654613 + 1.13382i
\(57\) 12498.5 21648.0i 0.0674891 0.116894i
\(58\) 54583.9 94542.1i 0.279757 0.484553i
\(59\) 218398. 1.06339 0.531696 0.846936i \(-0.321555\pi\)
0.531696 + 0.846936i \(0.321555\pi\)
\(60\) −566.976 + 982.032i −0.00262489 + 0.00454644i
\(61\) −56523.7 32634.0i −0.249024 0.143774i 0.370293 0.928915i \(-0.379257\pi\)
−0.619317 + 0.785141i \(0.712591\pi\)
\(62\) −346031. + 199781.i −1.45191 + 0.838261i
\(63\) −230045. + 132816.i −0.920005 + 0.531165i
\(64\) −288565. −1.10079
\(65\) 26176.6i 0.0953176i
\(66\) 61543.8 + 106597.i 0.214068 + 0.370777i
\(67\) 183226. + 317357.i 0.609204 + 1.05517i 0.991372 + 0.131079i \(0.0418443\pi\)
−0.382168 + 0.924093i \(0.624822\pi\)
\(68\) −20087.7 + 34792.9i −0.0638856 + 0.110653i
\(69\) −20344.2 11745.7i −0.0619290 0.0357547i
\(70\) 37179.4i 0.108395i
\(71\) 119935. + 69244.7i 0.335098 + 0.193469i 0.658102 0.752929i \(-0.271359\pi\)
−0.323004 + 0.946398i \(0.604693\pi\)
\(72\) −294428. 169988.i −0.788826 0.455429i
\(73\) 414881. + 239532.i 1.06649 + 0.615736i 0.927219 0.374519i \(-0.122192\pi\)
0.139266 + 0.990255i \(0.455526\pi\)
\(74\) 248434. + 430300.i 0.613078 + 1.06188i
\(75\) 156593.i 0.371184i
\(76\) −20210.1 + 11668.3i −0.0460391 + 0.0265807i
\(77\) −604824. 349195.i −1.32482 0.764885i
\(78\) −164653. −0.346966
\(79\) 453069. 784739.i 0.918932 1.59164i 0.117892 0.993026i \(-0.462386\pi\)
0.801040 0.598610i \(-0.204280\pi\)
\(80\) −34995.1 + 20204.4i −0.0683498 + 0.0394618i
\(81\) −159110. 275587.i −0.299394 0.518566i
\(82\) 917437.i 1.66393i
\(83\) −155641. 269579.i −0.272202 0.471467i 0.697224 0.716854i \(-0.254418\pi\)
−0.969425 + 0.245387i \(0.921085\pi\)
\(84\) −40470.3 −0.0682807
\(85\) 50534.2i 0.0822865i
\(86\) 499606. + 308671.i 0.785475 + 0.485289i
\(87\) 149470. 0.226984
\(88\) 893851.i 1.31165i
\(89\) −579242. + 334425.i −0.821656 + 0.474383i −0.850987 0.525186i \(-0.823996\pi\)
0.0293312 + 0.999570i \(0.490662\pi\)
\(90\) −54975.8 −0.0754126
\(91\) 809068. 467116.i 1.07365 0.619870i
\(92\) 10965.5 + 18992.9i 0.0140821 + 0.0243908i
\(93\) −473777. 273535.i −0.589013 0.340067i
\(94\) 611059.i 0.735699i
\(95\) −14676.8 + 25421.0i −0.0171183 + 0.0296498i
\(96\) −48467.3 83947.9i −0.0547817 0.0948847i
\(97\) 731097. 0.801051 0.400525 0.916286i \(-0.368828\pi\)
0.400525 + 0.916286i \(0.368828\pi\)
\(98\) −396568. + 228958.i −0.421346 + 0.243264i
\(99\) 516342. 894331.i 0.532147 0.921706i
\(100\) −73095.7 + 126605.i −0.0730957 + 0.126605i
\(101\) −239579. + 414962.i −0.232533 + 0.402758i −0.958553 0.284915i \(-0.908035\pi\)
0.726020 + 0.687674i \(0.241368\pi\)
\(102\) 317865. 0.299531
\(103\) −189620. + 328431.i −0.173529 + 0.300561i −0.939651 0.342134i \(-0.888850\pi\)
0.766122 + 0.642695i \(0.222184\pi\)
\(104\) 1.03550e6 + 597848.i 0.920559 + 0.531485i
\(105\) −44085.1 + 25452.6i −0.0380824 + 0.0219869i
\(106\) 888420. 512930.i 0.745935 0.430666i
\(107\) 2.24409e6 1.83185 0.915925 0.401349i \(-0.131459\pi\)
0.915925 + 0.401349i \(0.131459\pi\)
\(108\) 129450.i 0.102761i
\(109\) −406627. 704299.i −0.313991 0.543848i 0.665232 0.746637i \(-0.268333\pi\)
−0.979222 + 0.202789i \(0.934999\pi\)
\(110\) −72270.1 125175.i −0.0542976 0.0940462i
\(111\) −340150. + 589156.i −0.248714 + 0.430786i
\(112\) −1.24896e6 721087.i −0.888985 0.513255i
\(113\) 1.01564e6i 0.703890i 0.936021 + 0.351945i \(0.114480\pi\)
−0.936021 + 0.351945i \(0.885520\pi\)
\(114\) 159901. + 92318.6i 0.107928 + 0.0623124i
\(115\) 23890.0 + 13792.9i 0.0157080 + 0.00906904i
\(116\) −120846. 69770.7i −0.0774212 0.0446991i
\(117\) 690707. + 1.19634e6i 0.431257 + 0.746959i
\(118\) 1.61317e6i 0.981826i
\(119\) −1.56191e6 + 901771.i −0.926864 + 0.535125i
\(120\) −56423.3 32576.0i −0.0326524 0.0188519i
\(121\) 943532. 0.532599
\(122\) 241047. 417505.i 0.132746 0.229923i
\(123\) −1.08784e6 + 628066.i −0.584589 + 0.337513i
\(124\) 255366. + 442306.i 0.133936 + 0.231984i
\(125\) 369446.i 0.189156i
\(126\) −981031. 1.69920e6i −0.490423 0.849438i
\(127\) −540650. −0.263940 −0.131970 0.991254i \(-0.542130\pi\)
−0.131970 + 0.991254i \(0.542130\pi\)
\(128\) 1.51801e6i 0.723844i
\(129\) −23979.8 + 803716.i −0.0111706 + 0.374398i
\(130\) 193350. 0.0880065
\(131\) 1.63580e6i 0.727641i −0.931469 0.363821i \(-0.881472\pi\)
0.931469 0.363821i \(-0.118528\pi\)
\(132\) 136255. 78667.0i 0.0592422 0.0342035i
\(133\) −1.04762e6 −0.445296
\(134\) −2.34412e6 + 1.35338e6i −0.974237 + 0.562476i
\(135\) −81413.4 141012.i −0.0330898 0.0573133i
\(136\) −1.99905e6 1.15415e6i −0.794707 0.458824i
\(137\) 284343.i 0.110581i 0.998470 + 0.0552906i \(0.0176085\pi\)
−0.998470 + 0.0552906i \(0.982391\pi\)
\(138\) 86758.5 150270.i 0.0330122 0.0571788i
\(139\) −1.09554e6 1.89752e6i −0.407927 0.706550i 0.586730 0.809782i \(-0.300415\pi\)
−0.994657 + 0.103232i \(0.967082\pi\)
\(140\) 47523.7 0.0173191
\(141\) 724558. 418324.i 0.258473 0.149230i
\(142\) −511467. + 885888.i −0.178629 + 0.309395i
\(143\) −1.81598e6 + 3.14537e6i −0.621016 + 1.07563i
\(144\) 1.06624e6 1.84679e6i 0.357083 0.618486i
\(145\) −175521. −0.0575737
\(146\) −1.76927e6 + 3.06447e6i −0.568507 + 0.984683i
\(147\) −542971. 313484.i −0.170932 0.0986879i
\(148\) 550021. 317555.i 0.169666 0.0979566i
\(149\) −2.19178e6 + 1.26542e6i −0.662580 + 0.382541i −0.793259 0.608884i \(-0.791617\pi\)
0.130680 + 0.991425i \(0.458284\pi\)
\(150\) 1.15666e6 0.342713
\(151\) 1.95705e6i 0.568421i 0.958762 + 0.284211i \(0.0917315\pi\)
−0.958762 + 0.284211i \(0.908269\pi\)
\(152\) −670410. 1.16118e6i −0.190902 0.330651i
\(153\) −1.33342e6 2.30954e6i −0.372298 0.644840i
\(154\) 2.57929e6 4.46746e6i 0.706216 1.22320i
\(155\) 556350. + 321209.i 0.149401 + 0.0862567i
\(156\) 210464.i 0.0554376i
\(157\) −1.16223e6 671011.i −0.300325 0.173393i 0.342264 0.939604i \(-0.388806\pi\)
−0.642589 + 0.766211i \(0.722140\pi\)
\(158\) 5.79638e6 + 3.34654e6i 1.46955 + 0.848447i
\(159\) 1.21640e6 + 702291.i 0.302612 + 0.174713i
\(160\) 56914.6 + 98579.0i 0.0138952 + 0.0240671i
\(161\) 984524.i 0.235911i
\(162\) 2.03559e6 1.17525e6i 0.478790 0.276430i
\(163\) 1.46663e6 + 846757.i 0.338654 + 0.195522i 0.659677 0.751549i \(-0.270693\pi\)
−0.321022 + 0.947072i \(0.604026\pi\)
\(164\) 1.17269e6 0.265860
\(165\) 98950.4 171387.i 0.0220275 0.0381528i
\(166\) 1.99121e6 1.14963e6i 0.435304 0.251323i
\(167\) 1.81216e6 + 3.13875e6i 0.389087 + 0.673919i 0.992327 0.123641i \(-0.0394571\pi\)
−0.603240 + 0.797560i \(0.706124\pi\)
\(168\) 2.32525e6i 0.490390i
\(169\) −15815.7 27393.6i −0.00327664 0.00567530i
\(170\) −373264. −0.0759748
\(171\) 1.54908e6i 0.309802i
\(172\) 394552. 638610.i 0.0775388 0.125502i
\(173\) −3.82435e6 −0.738618 −0.369309 0.929307i \(-0.620406\pi\)
−0.369309 + 0.929307i \(0.620406\pi\)
\(174\) 1.10404e6i 0.209574i
\(175\) −5.68354e6 + 3.28139e6i −1.06049 + 0.612272i
\(176\) 5.60666e6 1.02841
\(177\) −1.91280e6 + 1.10436e6i −0.344945 + 0.199154i
\(178\) −2.47019e6 4.27850e6i −0.437997 0.758632i
\(179\) 7.83536e6 + 4.52375e6i 1.36615 + 0.788750i 0.990435 0.137983i \(-0.0440621\pi\)
0.375720 + 0.926733i \(0.377395\pi\)
\(180\) 70271.6i 0.0120493i
\(181\) 2.23912e6 3.87826e6i 0.377608 0.654036i −0.613106 0.790001i \(-0.710080\pi\)
0.990714 + 0.135965i \(0.0434135\pi\)
\(182\) 3.45029e6 + 5.97608e6i 0.572324 + 0.991294i
\(183\) 660070. 0.107705
\(184\) −1.09125e6 + 630032.i −0.175174 + 0.101137i
\(185\) 399433. 691839.i 0.0630854 0.109267i
\(186\) 2.02043e6 3.49949e6i 0.313983 0.543834i
\(187\) 3.50576e6 6.07216e6i 0.536115 0.928578i
\(188\) −781073. −0.117549
\(189\) 2.90561e6 5.03266e6i 0.430380 0.745440i
\(190\) −187769. 108409.i −0.0273756 0.0158053i
\(191\) 7.03116e6 4.05944e6i 1.00908 0.582594i 0.0981601 0.995171i \(-0.468704\pi\)
0.910923 + 0.412576i \(0.135371\pi\)
\(192\) 2.52734e6 1.45916e6i 0.357076 0.206158i
\(193\) −1.28573e7 −1.78845 −0.894225 0.447617i \(-0.852273\pi\)
−0.894225 + 0.447617i \(0.852273\pi\)
\(194\) 5.40016e6i 0.739608i
\(195\) 132365. + 229263.i 0.0178513 + 0.0309194i
\(196\) 292661. + 506904.i 0.0388684 + 0.0673221i
\(197\) −6.07930e6 + 1.05297e7i −0.795161 + 1.37726i 0.127577 + 0.991829i \(0.459280\pi\)
−0.922737 + 0.385430i \(0.874053\pi\)
\(198\) 6.60586e6 + 3.81390e6i 0.851009 + 0.491330i
\(199\) 1.40743e7i 1.78594i −0.450119 0.892969i \(-0.648618\pi\)
0.450119 0.892969i \(-0.351382\pi\)
\(200\) −7.27420e6 4.19976e6i −0.909276 0.524970i
\(201\) −3.20951e6 1.85301e6i −0.395230 0.228186i
\(202\) −3.06507e6 1.76962e6i −0.371866 0.214697i
\(203\) −3.13213e6 5.42501e6i −0.374414 0.648503i
\(204\) 406303.i 0.0478586i
\(205\) 1.27744e6 737530.i 0.148279 0.0856088i
\(206\) −2.42591e6 1.40060e6i −0.277507 0.160219i
\(207\) −1.45578e6 −0.164129
\(208\) −3.74999e6 + 6.49517e6i −0.416716 + 0.721773i
\(209\) 3.52712e6 2.03639e6i 0.386351 0.223060i
\(210\) −188002. 325629.i −0.0203004 0.0351613i
\(211\) 5.96969e6i 0.635484i −0.948177 0.317742i \(-0.897075\pi\)
0.948177 0.317742i \(-0.102925\pi\)
\(212\) −655641. 1.13560e6i −0.0688111 0.119184i
\(213\) −1.40058e6 −0.144933
\(214\) 1.65757e7i 1.69134i
\(215\) 28159.2 943794.i 0.00283338 0.0949646i
\(216\) 7.43762e6 0.738028
\(217\) 2.29276e7i 2.24378i
\(218\) 5.20221e6 3.00350e6i 0.502133 0.289907i
\(219\) −4.84488e6 −0.461265
\(220\) −160003. + 92377.6i −0.0150266 + 0.00867559i
\(221\) 4.68963e6 + 8.12268e6i 0.434472 + 0.752528i
\(222\) −4.35173e6 2.51247e6i −0.397743 0.229637i
\(223\) 7.69920e6i 0.694274i −0.937814 0.347137i \(-0.887154\pi\)
0.937814 0.347137i \(-0.112846\pi\)
\(224\) −2.03126e6 + 3.51824e6i −0.180726 + 0.313027i
\(225\) −4.85207e6 8.40404e6i −0.425971 0.737803i
\(226\) −7.50190e6 −0.649900
\(227\) −6.06085e6 + 3.49923e6i −0.518151 + 0.299154i −0.736178 0.676788i \(-0.763371\pi\)
0.218027 + 0.975943i \(0.430038\pi\)
\(228\) 118004. 204389.i 0.00995619 0.0172446i
\(229\) −3.90615e6 + 6.76565e6i −0.325269 + 0.563382i −0.981567 0.191120i \(-0.938788\pi\)
0.656298 + 0.754502i \(0.272122\pi\)
\(230\) −101879. + 176460.i −0.00837342 + 0.0145032i
\(231\) 7.06300e6 0.572998
\(232\) 4.00872e6 6.94331e6i 0.321027 0.556036i
\(233\) −1.42628e7 8.23460e6i −1.12755 0.650991i −0.184232 0.982883i \(-0.558980\pi\)
−0.943317 + 0.331892i \(0.892313\pi\)
\(234\) −8.83661e6 + 5.10182e6i −0.689665 + 0.398178i
\(235\) −850840. + 491232.i −0.0655608 + 0.0378515i
\(236\) 2.06200e6 0.156875
\(237\) 9.16400e6i 0.688399i
\(238\) −6.66082e6 1.15369e7i −0.494080 0.855771i
\(239\) 2.79188e6 + 4.83569e6i 0.204505 + 0.354213i 0.949975 0.312326i \(-0.101108\pi\)
−0.745470 + 0.666539i \(0.767775\pi\)
\(240\) 204332. 353914.i 0.0147810 0.0256014i
\(241\) 2.18954e7 + 1.26413e7i 1.56424 + 0.903112i 0.996820 + 0.0796806i \(0.0253901\pi\)
0.567416 + 0.823432i \(0.307943\pi\)
\(242\) 6.96928e6i 0.491747i
\(243\) 1.14431e7 + 6.60669e6i 0.797491 + 0.460431i
\(244\) −533667. 308113.i −0.0367367 0.0212100i
\(245\) 637604. + 368121.i 0.0433563 + 0.0250318i
\(246\) −4.63913e6 8.03521e6i −0.311624 0.539749i
\(247\) 5.44811e6i 0.361539i
\(248\) −2.54130e7 + 1.46722e7i −1.66610 + 0.961924i
\(249\) 2.72631e6 + 1.57404e6i 0.176595 + 0.101957i
\(250\) −2.72886e6 −0.174647
\(251\) −2.32801e6 + 4.03223e6i −0.147219 + 0.254991i −0.930199 0.367057i \(-0.880365\pi\)
0.782980 + 0.622047i \(0.213699\pi\)
\(252\) −2.17196e6 + 1.25398e6i −0.135722 + 0.0783591i
\(253\) −1.91374e6 3.31469e6i −0.118174 0.204683i
\(254\) 3.99345e6i 0.243695i
\(255\) −255532. 442595.i −0.0154108 0.0266923i
\(256\) −7.25554e6 −0.432464
\(257\) 2.48316e7i 1.46287i −0.681913 0.731433i \(-0.738852\pi\)
0.681913 0.731433i \(-0.261148\pi\)
\(258\) −5.93655e6 177124.i −0.345680 0.0103138i
\(259\) 2.85112e7 1.64103
\(260\) 247146.i 0.0140615i
\(261\) 8.02175e6 4.63136e6i 0.451178 0.260488i
\(262\) 1.20827e7 0.671829
\(263\) 1.03290e7 5.96347e6i 0.567796 0.327817i −0.188472 0.982078i \(-0.560354\pi\)
0.756269 + 0.654261i \(0.227020\pi\)
\(264\) 4.51987e6 + 7.82864e6i 0.245648 + 0.425475i
\(265\) −1.42841e6 824691.i −0.0767564 0.0443153i
\(266\) 7.73811e6i 0.411140i
\(267\) 3.38213e6 5.85801e6i 0.177687 0.307763i
\(268\) 1.72992e6 + 2.99631e6i 0.0898716 + 0.155662i
\(269\) −1.02199e7 −0.525037 −0.262519 0.964927i \(-0.584553\pi\)
−0.262519 + 0.964927i \(0.584553\pi\)
\(270\) 1.04157e6 601350.i 0.0529172 0.0305517i
\(271\) 1.36163e7 2.35840e7i 0.684147 1.18498i −0.289556 0.957161i \(-0.593508\pi\)
0.973704 0.227817i \(-0.0731589\pi\)
\(272\) 7.23939e6 1.25390e7i 0.359745 0.623097i
\(273\) −4.72406e6 + 8.18230e6i −0.232181 + 0.402150i
\(274\) −2.10027e6 −0.102099
\(275\) 1.27569e7 2.20956e7i 0.613404 1.06245i
\(276\) −192079. 110897.i −0.00913595 0.00527464i
\(277\) 7.82758e6 4.51926e6i 0.368289 0.212632i −0.304422 0.952537i \(-0.598463\pi\)
0.672711 + 0.739906i \(0.265130\pi\)
\(278\) 1.40158e7 8.09204e6i 0.652356 0.376638i
\(279\) −3.39022e7 −1.56105
\(280\) 2.73051e6i 0.124385i
\(281\) −3.45902e6 5.99120e6i −0.155896 0.270019i 0.777489 0.628896i \(-0.216493\pi\)
−0.933385 + 0.358877i \(0.883160\pi\)
\(282\) 3.08990e6 + 5.35186e6i 0.137783 + 0.238648i
\(283\) −837525. + 1.45064e6i −0.0369520 + 0.0640028i −0.883910 0.467657i \(-0.845098\pi\)
0.846958 + 0.531660i \(0.178432\pi\)
\(284\) 1.13237e6 + 653772.i 0.0494347 + 0.0285411i
\(285\) 296861.i 0.0128238i
\(286\) −2.32329e7 1.34135e7i −0.993127 0.573382i
\(287\) 4.55913e7 + 2.63221e7i 1.92857 + 1.11346i
\(288\) −5.20229e6 3.00354e6i −0.217780 0.125735i
\(289\) 3.01541e6 + 5.22284e6i 0.124926 + 0.216378i
\(290\) 1.29646e6i 0.0531576i
\(291\) −6.40319e6 + 3.69688e6i −0.259847 + 0.150023i
\(292\) 3.91709e6 + 2.26153e6i 0.157331 + 0.0908351i
\(293\) −2.10978e7 −0.838755 −0.419377 0.907812i \(-0.637752\pi\)
−0.419377 + 0.907812i \(0.637752\pi\)
\(294\) 2.31551e6 4.01059e6i 0.0911182 0.157821i
\(295\) 2.24618e6 1.29683e6i 0.0874941 0.0505147i
\(296\) 1.82453e7 + 3.16019e7i 0.703521 + 1.21853i
\(297\) 2.25919e7i 0.862351i
\(298\) −9.34690e6 1.61893e7i −0.353198 0.611758i
\(299\) 5.11998e6 0.191538
\(300\) 1.47847e6i 0.0547581i
\(301\) 2.96733e7 1.59714e7i 1.08810 0.585659i
\(302\) −1.44555e7 −0.524822
\(303\) 4.84583e6i 0.174197i
\(304\) 7.28349e6 4.20513e6i 0.259250 0.149678i
\(305\) −775112. −0.0273190
\(306\) 1.70592e7 9.84911e6i 0.595379 0.343742i
\(307\) 8.99820e6 + 1.55853e7i 0.310986 + 0.538643i 0.978576 0.205886i \(-0.0660075\pi\)
−0.667590 + 0.744529i \(0.732674\pi\)
\(308\) −5.71043e6 3.29692e6i −0.195441 0.112838i
\(309\) 3.83534e6i 0.129995i
\(310\) −2.37257e6 + 4.10941e6i −0.0796405 + 0.137941i
\(311\) −5.51625e6 9.55443e6i −0.183385 0.317632i 0.759646 0.650336i \(-0.225372\pi\)
−0.943031 + 0.332705i \(0.892039\pi\)
\(312\) −1.20924e7 −0.398151
\(313\) −2.66776e7 + 1.54023e7i −0.869988 + 0.502288i −0.867344 0.497709i \(-0.834175\pi\)
−0.00264387 + 0.999997i \(0.500842\pi\)
\(314\) 4.95634e6 8.58463e6i 0.160093 0.277289i
\(315\) −1.57731e6 + 2.73198e6i −0.0504643 + 0.0874068i
\(316\) 4.27764e6 7.40909e6i 0.135564 0.234803i
\(317\) −2.84283e7 −0.892428 −0.446214 0.894926i \(-0.647228\pi\)
−0.446214 + 0.894926i \(0.647228\pi\)
\(318\) −5.18738e6 + 8.98481e6i −0.161312 + 0.279401i
\(319\) 2.10905e7 + 1.21766e7i 0.649702 + 0.375106i
\(320\) −2.96783e6 + 1.71348e6i −0.0905709 + 0.0522911i
\(321\) −1.96545e7 + 1.13475e7i −0.594220 + 0.343073i
\(322\) −7.27206e6 −0.217816
\(323\) 1.05176e7i 0.312112i
\(324\) −1.50223e6 2.60195e6i −0.0441675 0.0765003i
\(325\) 1.70648e7 + 2.95571e7i 0.497108 + 0.861016i
\(326\) −6.25447e6 + 1.08331e7i −0.180525 + 0.312679i
\(327\) 7.12274e6 + 4.11232e6i 0.203706 + 0.117610i
\(328\) 6.73780e7i 1.90940i
\(329\) −3.03661e7 1.75319e7i −0.852710 0.492312i
\(330\) 1.26593e6 + 730885.i 0.0352264 + 0.0203379i
\(331\) 2.37071e7 + 1.36873e7i 0.653724 + 0.377428i 0.789881 0.613260i \(-0.210142\pi\)
−0.136158 + 0.990687i \(0.543475\pi\)
\(332\) −1.46948e6 2.54522e6i −0.0401560 0.0695522i
\(333\) 4.21584e7i 1.14170i
\(334\) −2.31840e7 + 1.33853e7i −0.622227 + 0.359243i
\(335\) 3.76888e6 + 2.17597e6i 0.100249 + 0.0578785i
\(336\) 1.45851e7 0.384495
\(337\) 1.73763e7 3.00967e7i 0.454013 0.786373i −0.544618 0.838684i \(-0.683325\pi\)
0.998631 + 0.0523113i \(0.0166588\pi\)
\(338\) 202339. 116821.i 0.00523999 0.00302531i
\(339\) −5.13571e6 8.89531e6i −0.131826 0.228330i
\(340\) 477117.i 0.0121391i
\(341\) −4.45672e7 7.71926e7i −1.12396 1.94676i
\(342\) 1.14421e7 0.286039
\(343\) 2.35887e7i 0.584550i
\(344\) 3.66918e7 + 2.26693e7i 0.901351 + 0.556881i
\(345\) −278981. −0.00679388
\(346\) 2.82481e7i 0.681963i
\(347\) −5.19013e7 + 2.99652e7i −1.24220 + 0.717182i −0.969541 0.244930i \(-0.921235\pi\)
−0.272655 + 0.962112i \(0.587902\pi\)
\(348\) 1.41122e6 0.0334854
\(349\) −6.34422e7 + 3.66284e7i −1.49246 + 0.861671i −0.999963 0.00864411i \(-0.997248\pi\)
−0.492495 + 0.870315i \(0.663915\pi\)
\(350\) −2.42376e7 4.19808e7i −0.565308 0.979143i
\(351\) −2.61722e7 1.51105e7i −0.605228 0.349428i
\(352\) 1.57936e7i 0.362120i
\(353\) 2.87769e7 4.98431e7i 0.654215 1.13313i −0.327875 0.944721i \(-0.606333\pi\)
0.982090 0.188412i \(-0.0603341\pi\)
\(354\) −8.15719e6 1.41287e7i −0.183879 0.318487i
\(355\) 1.64468e6 0.0367618
\(356\) −5.46889e6 + 3.15747e6i −0.121213 + 0.0699824i
\(357\) 9.11983e6 1.57960e7i 0.200439 0.347171i
\(358\) −3.34141e7 + 5.78749e7i −0.728250 + 1.26137i
\(359\) 2.21746e7 3.84076e7i 0.479262 0.830105i −0.520456 0.853889i \(-0.674238\pi\)
0.999717 + 0.0237833i \(0.00757118\pi\)
\(360\) −4.03750e6 −0.0865377
\(361\) −2.04683e7 + 3.54521e7i −0.435070 + 0.753564i
\(362\) 2.86463e7 + 1.65389e7i 0.603869 + 0.348644i
\(363\) −8.26376e6 + 4.77108e6i −0.172766 + 0.0997464i
\(364\) 7.63879e6 4.41026e6i 0.158387 0.0914450i
\(365\) 5.68929e6 0.116998
\(366\) 4.87553e6i 0.0994439i
\(367\) −4.43801e6 7.68686e6i −0.0897822 0.155507i 0.817637 0.575734i \(-0.195284\pi\)
−0.907419 + 0.420227i \(0.861950\pi\)
\(368\) −3.95186e6 6.84482e6i −0.0792973 0.137347i
\(369\) −3.89216e7 + 6.74141e7i −0.774660 + 1.34175i
\(370\) 5.11018e6 + 2.95036e6i 0.100886 + 0.0582466i
\(371\) 5.88657e7i 1.15277i
\(372\) −4.47315e6 2.58257e6i −0.0868930 0.0501677i
\(373\) 1.08499e7 + 6.26417e6i 0.209073 + 0.120708i 0.600881 0.799339i \(-0.294817\pi\)
−0.391807 + 0.920047i \(0.628150\pi\)
\(374\) 4.48513e7 + 2.58949e7i 0.857353 + 0.494993i
\(375\) −1.86815e6 3.23572e6i −0.0354256 0.0613589i
\(376\) 4.48771e7i 0.844231i
\(377\) −2.82126e7 + 1.62885e7i −0.526524 + 0.303989i
\(378\) 3.71731e7 + 2.14619e7i 0.688262 + 0.397368i
\(379\) 5.18840e7 0.953051 0.476526 0.879161i \(-0.341896\pi\)
0.476526 + 0.879161i \(0.341896\pi\)
\(380\) −138571. + 240012.i −0.00252535 + 0.00437403i
\(381\) 4.73519e6 2.73386e6i 0.0856175 0.0494313i
\(382\) 2.99846e7 + 5.19348e7i 0.537908 + 0.931683i
\(383\) 3.63320e7i 0.646685i −0.946282 0.323342i \(-0.895193\pi\)
0.946282 0.323342i \(-0.104807\pi\)
\(384\) 7.67600e6 + 1.32952e7i 0.135563 + 0.234802i
\(385\) −8.29399e6 −0.145339
\(386\) 9.49686e7i 1.65127i
\(387\) 2.36164e7 + 4.38768e7i 0.407456 + 0.757012i
\(388\) 6.90263e6 0.118173
\(389\) 2.84384e7i 0.483122i 0.970386 + 0.241561i \(0.0776594\pi\)
−0.970386 + 0.241561i \(0.922341\pi\)
\(390\) −1.69342e6 + 977699.i −0.0285477 + 0.0164820i
\(391\) −9.88418e6 −0.165352
\(392\) −2.91245e7 + 1.68150e7i −0.483505 + 0.279151i
\(393\) 8.27164e6 + 1.43269e7i 0.136274 + 0.236034i
\(394\) −7.77760e7 4.49040e7i −1.27162 0.734169i
\(395\) 1.07612e7i 0.174610i
\(396\) 4.87503e6 8.44380e6i 0.0785040 0.135973i
\(397\) 1.42184e6 + 2.46270e6i 0.0227237 + 0.0393586i 0.877164 0.480192i \(-0.159433\pi\)
−0.854440 + 0.519550i \(0.826100\pi\)
\(398\) 1.03958e8 1.64895
\(399\) 9.17539e6 5.29742e6i 0.144446 0.0833960i
\(400\) 2.63429e7 4.56272e7i 0.411608 0.712926i
\(401\) 3.15930e7 5.47208e7i 0.489957 0.848631i −0.509976 0.860189i \(-0.670346\pi\)
0.999933 + 0.0115575i \(0.00367896\pi\)
\(402\) 1.36870e7 2.37066e7i 0.210684 0.364915i
\(403\) 1.19234e8 1.82174
\(404\) −2.26197e6 + 3.91785e6i −0.0343039 + 0.0594161i
\(405\) −3.27283e6 1.88957e6i −0.0492673 0.0284445i
\(406\) 4.00711e7 2.31351e7i 0.598761 0.345695i
\(407\) −9.59914e7 + 5.54207e7i −1.42380 + 0.822032i
\(408\) 2.33444e7 0.343719
\(409\) 7.44168e7i 1.08768i 0.839189 + 0.543840i \(0.183030\pi\)
−0.839189 + 0.543840i \(0.816970\pi\)
\(410\) 5.44768e6 + 9.43565e6i 0.0790423 + 0.136905i
\(411\) −1.43782e6 2.49037e6i −0.0207099 0.0358706i
\(412\) −1.79029e6 + 3.10087e6i −0.0255995 + 0.0443396i
\(413\) 8.01652e7 + 4.62834e7i 1.13798 + 0.657015i
\(414\) 1.07529e7i 0.151539i
\(415\) −3.20148e6 1.84837e6i −0.0447926 0.0258610i
\(416\) 1.82965e7 + 1.05635e7i 0.254149 + 0.146733i
\(417\) 1.91901e7 + 1.10794e7i 0.264649 + 0.152795i
\(418\) 1.50415e7 + 2.60526e7i 0.205950 + 0.356716i
\(419\) 1.19518e8i 1.62476i 0.583127 + 0.812381i \(0.301829\pi\)
−0.583127 + 0.812381i \(0.698171\pi\)
\(420\) −416228. + 240310.i −0.00561803 + 0.00324357i
\(421\) −7.45688e7 4.30523e7i −0.999335 0.576966i −0.0912834 0.995825i \(-0.529097\pi\)
−0.908051 + 0.418859i \(0.862430\pi\)
\(422\) 4.40944e7 0.586740
\(423\) 2.59237e7 4.49012e7i 0.342512 0.593249i
\(424\) 6.52469e7 3.76703e7i 0.855977 0.494199i
\(425\) −3.29437e7 5.70602e7i −0.429147 0.743304i
\(426\) 1.03452e7i 0.133816i
\(427\) −1.38317e7 2.39572e7i −0.177661 0.307718i
\(428\) 2.11876e7 0.270240
\(429\) 3.67309e7i 0.465221i
\(430\) 6.97121e6 + 207995.i 0.0876805 + 0.00261605i
\(431\) 5.24388e6 0.0654969 0.0327485 0.999464i \(-0.489574\pi\)
0.0327485 + 0.999464i \(0.489574\pi\)
\(432\) 4.66523e7i 0.578657i
\(433\) −1.19440e8 + 6.89586e7i −1.47125 + 0.849425i −0.999478 0.0322980i \(-0.989717\pi\)
−0.471768 + 0.881723i \(0.656384\pi\)
\(434\) −1.69352e8 −2.07167
\(435\) 1.53727e6 887542.i 0.0186759 0.0107825i
\(436\) −3.83916e6 6.64961e6i −0.0463208 0.0802300i
\(437\) −4.97220e6 2.87070e6i −0.0595805 0.0343988i
\(438\) 3.57861e7i 0.425885i
\(439\) −2.46820e7 + 4.27504e7i −0.291734 + 0.505297i −0.974220 0.225601i \(-0.927565\pi\)
0.682486 + 0.730898i \(0.260899\pi\)
\(440\) −5.30762e6 9.19307e6i −0.0623077 0.107920i
\(441\) −3.88535e7 −0.453017
\(442\) −5.99972e7 + 3.46394e7i −0.694807 + 0.401147i
\(443\) 6.69891e7 1.16028e8i 0.770536 1.33461i −0.166734 0.986002i \(-0.553322\pi\)
0.937270 0.348605i \(-0.113345\pi\)
\(444\) −3.21151e6 + 5.56250e6i −0.0366911 + 0.0635508i
\(445\) −3.97159e6 + 6.87899e6i −0.0450697 + 0.0780629i
\(446\) 5.68692e7 0.641021
\(447\) 1.27975e7 2.21660e7i 0.143286 0.248179i
\(448\) −1.05920e8 6.11532e7i −1.17800 0.680119i
\(449\) 1.43977e8 8.31254e7i 1.59058 0.918321i 0.597371 0.801965i \(-0.296212\pi\)
0.993208 0.116356i \(-0.0371213\pi\)
\(450\) 6.20754e7 3.58392e7i 0.681211 0.393297i
\(451\) −2.04662e8 −2.23104
\(452\) 9.58914e6i 0.103840i
\(453\) −9.89604e6 1.71404e7i −0.106455 0.184386i
\(454\) −2.58466e7 4.47677e7i −0.276208 0.478407i
\(455\) 5.54740e6 9.60838e6i 0.0588919 0.102004i
\(456\) 1.17433e7 + 6.78001e6i 0.123850 + 0.0715050i
\(457\) 4.13956e7i 0.433716i 0.976203 + 0.216858i \(0.0695808\pi\)
−0.976203 + 0.216858i \(0.930419\pi\)
\(458\) −4.99737e7 2.88523e7i −0.520169 0.300320i
\(459\) 5.05257e7 + 2.91710e7i 0.522485 + 0.301657i
\(460\) 225556. + 130225.i 0.00231730 + 0.00133789i
\(461\) 630616. + 1.09226e6i 0.00643669 + 0.0111487i 0.869226 0.494415i \(-0.164618\pi\)
−0.862789 + 0.505564i \(0.831284\pi\)
\(462\) 5.21699e7i 0.529047i
\(463\) −8.97451e7 + 5.18144e7i −0.904207 + 0.522044i −0.878563 0.477627i \(-0.841497\pi\)
−0.0256441 + 0.999671i \(0.508164\pi\)
\(464\) 4.35517e7 + 2.51446e7i 0.435965 + 0.251705i
\(465\) −6.49693e6 −0.0646174
\(466\) 6.08239e7 1.05350e8i 0.601058 1.04106i
\(467\) −5.28163e7 + 3.04935e7i −0.518582 + 0.299403i −0.736354 0.676596i \(-0.763454\pi\)
0.217772 + 0.976000i \(0.430121\pi\)
\(468\) 6.52129e6 + 1.12952e7i 0.0636203 + 0.110194i
\(469\) 1.55319e8i 1.50558i
\(470\) −3.62843e6 6.28462e6i −0.0349482 0.0605321i
\(471\) 1.35722e7 0.129893
\(472\) 1.18474e8i 1.12667i
\(473\) −6.88585e7 + 1.11452e8i −0.650690 + 1.05319i
\(474\) −6.76887e7 −0.635596
\(475\) 3.82719e7i 0.357107i
\(476\) −1.47468e7 + 8.51405e6i −0.136734 + 0.0789433i
\(477\) 8.70426e7 0.802004
\(478\) −3.57182e7 + 2.06219e7i −0.327044 + 0.188819i
\(479\) −3.09836e7 5.36652e7i −0.281920 0.488299i 0.689938 0.723869i \(-0.257638\pi\)
−0.971858 + 0.235569i \(0.924304\pi\)
\(480\) −996953. 575591.i −0.00901469 0.00520463i
\(481\) 1.48272e8i 1.33236i
\(482\) −9.33736e7 + 1.61728e8i −0.833841 + 1.44425i
\(483\) −4.97836e6 8.62278e6i −0.0441820 0.0765255i
\(484\) 8.90833e6 0.0785706
\(485\) 7.51918e6 4.34120e6i 0.0659091 0.0380526i
\(486\) −4.87995e7 + 8.45232e7i −0.425115 + 0.736321i
\(487\) −1.21687e7 + 2.10768e7i −0.105356 + 0.182481i −0.913883 0.405977i \(-0.866931\pi\)
0.808528 + 0.588458i \(0.200265\pi\)
\(488\) 1.77028e7 3.06622e7i 0.152329 0.263842i
\(489\) −1.71269e7 −0.146471
\(490\) −2.71908e6 + 4.70958e6i −0.0231118 + 0.0400308i
\(491\) 7.41246e7 + 4.27958e7i 0.626207 + 0.361541i 0.779282 0.626674i \(-0.215584\pi\)
−0.153075 + 0.988215i \(0.548918\pi\)
\(492\) −1.02708e7 + 5.92987e6i −0.0862403 + 0.0497909i
\(493\) 5.44646e7 3.14452e7i 0.454542 0.262430i
\(494\) −4.02418e7 −0.333808
\(495\) 1.22640e7i 0.101115i
\(496\) −9.20311e7 1.59402e8i −0.754205 1.30632i
\(497\) 2.93490e7 + 5.08339e7i 0.239069 + 0.414080i
\(498\) −1.16264e7 + 2.01376e7i −0.0941366 + 0.163049i
\(499\) 1.39441e8 + 8.05061e7i 1.12224 + 0.647928i 0.941973 0.335688i \(-0.108969\pi\)
0.180272 + 0.983617i \(0.442302\pi\)
\(500\) 3.48811e6i 0.0279049i
\(501\) −3.17430e7 1.83268e7i −0.252426 0.145738i
\(502\) −2.97836e7 1.71955e7i −0.235432 0.135927i
\(503\) 1.23803e8 + 7.14776e7i 0.972807 + 0.561650i 0.900091 0.435702i \(-0.143500\pi\)
0.0727162 + 0.997353i \(0.476833\pi\)
\(504\) −7.20483e7 1.24791e8i −0.562772 0.974750i
\(505\) 5.69040e6i 0.0441844i
\(506\) 2.44836e7 1.41356e7i 0.188983 0.109109i
\(507\) 277038. + 159948.i 0.00212577 + 0.00122731i
\(508\) −5.10453e6 −0.0389372
\(509\) 2.35970e7 4.08712e7i 0.178939 0.309931i −0.762579 0.646895i \(-0.776067\pi\)
0.941517 + 0.336965i \(0.109400\pi\)
\(510\) 3.26917e6 1.88746e6i 0.0246449 0.0142287i
\(511\) 1.01524e8 + 1.75845e8i 0.760863 + 1.31785i
\(512\) 1.50745e8i 1.12314i
\(513\) 1.69445e7 + 2.93487e7i 0.125510 + 0.217389i
\(514\) 1.83415e8 1.35066
\(515\) 4.50379e6i 0.0329728i
\(516\) −226405. + 7.58826e6i −0.00164792 + 0.0552323i
\(517\) 1.36315e8 0.986445
\(518\) 2.10594e8i 1.51516i
\(519\) 3.34949e7 1.93383e7i 0.239595 0.138330i
\(520\) 1.41999e7 0.100989
\(521\) −9.06862e7 + 5.23577e7i −0.641251 + 0.370226i −0.785096 0.619374i \(-0.787387\pi\)
0.143845 + 0.989600i \(0.454053\pi\)
\(522\) 3.42090e7 + 5.92517e7i 0.240507 + 0.416571i
\(523\) −1.68736e8 9.74196e7i −1.17951 0.680991i −0.223609 0.974679i \(-0.571784\pi\)
−0.955901 + 0.293688i \(0.905117\pi\)
\(524\) 1.54444e7i 0.107344i
\(525\) 3.31855e7 5.74790e7i 0.229335 0.397220i
\(526\) 4.40484e7 + 7.62941e7i 0.302673 + 0.524244i
\(527\) −2.30183e8 −1.57268
\(528\) −4.91049e7 + 2.83507e7i −0.333598 + 0.192603i
\(529\) 7.13201e7 1.23530e8i 0.481776 0.834461i
\(530\) 6.09148e6 1.05507e7i 0.0409162 0.0708689i
\(531\) −6.84375e7 + 1.18537e8i −0.457099 + 0.791719i
\(532\) −9.89107e6 −0.0656914
\(533\) 1.36887e8 2.37096e8i 0.904028 1.56582i
\(534\) 4.32695e7 + 2.49816e7i 0.284157 + 0.164058i
\(535\) 2.30800e7 1.33253e7i 0.150722 0.0870191i
\(536\) −1.72155e8 + 9.93939e7i −1.11796 + 0.645454i
\(537\) −9.14995e7 −0.590875
\(538\) 7.54880e7i 0.484765i
\(539\) −5.10761e7 8.84664e7i −0.326176 0.564953i
\(540\) −768662. 1.33136e6i −0.00488151 0.00845503i
\(541\) 1.22324e8 2.11871e8i 0.772536 1.33807i −0.163632 0.986521i \(-0.552321\pi\)
0.936169 0.351551i \(-0.114346\pi\)
\(542\) 1.74201e8 + 1.00575e8i 1.09409 + 0.631671i
\(543\) 4.52894e7i 0.282877i
\(544\) −3.53215e7 2.03929e7i −0.219403 0.126673i
\(545\) −8.36415e6 4.82904e6i −0.0516692 0.0298313i
\(546\) −6.04376e7 3.48936e7i −0.371303 0.214372i
\(547\) −8.78331e7 1.52131e8i −0.536656 0.929516i −0.999081 0.0428576i \(-0.986354\pi\)
0.462425 0.886658i \(-0.346980\pi\)
\(548\) 2.68462e6i 0.0163133i
\(549\) 3.54247e7 2.04524e7i 0.214086 0.123603i
\(550\) 1.63206e8 + 9.42271e7i 0.980954 + 0.566354i
\(551\) 3.65310e7 0.218377
\(552\) 6.37167e6 1.10361e7i 0.0378823 0.0656140i
\(553\) 3.32607e8 1.92031e8i 1.96678 1.13552i
\(554\) 3.33809e7 + 5.78174e7i 0.196322 + 0.340040i
\(555\) 8.07913e6i 0.0472591i
\(556\) −1.03435e7 1.79154e7i −0.0601786 0.104232i
\(557\) −9.14418e7 −0.529150 −0.264575 0.964365i \(-0.585232\pi\)
−0.264575 + 0.964365i \(0.585232\pi\)
\(558\) 2.50414e8i 1.44131i
\(559\) −8.30590e7 1.54315e8i −0.475501 0.883432i
\(560\) −1.71270e7 −0.0975256
\(561\) 7.09093e7i 0.401619i
\(562\) 4.42532e7 2.55496e7i 0.249308 0.143938i
\(563\) 2.74712e8 1.53940 0.769701 0.638404i \(-0.220405\pi\)
0.769701 + 0.638404i \(0.220405\pi\)
\(564\) 6.84089e6 3.94959e6i 0.0381308 0.0220148i
\(565\) 6.03080e6 + 1.04457e7i 0.0334372 + 0.0579149i
\(566\) −1.07149e7 6.18627e6i −0.0590936 0.0341177i
\(567\) 1.34876e8i 0.739921i
\(568\) −3.75629e7 + 6.50609e7i −0.204981 + 0.355038i
\(569\) −9.27992e6 1.60733e7i −0.0503741 0.0872506i 0.839739 0.542990i \(-0.182708\pi\)
−0.890113 + 0.455740i \(0.849375\pi\)
\(570\) 2.19272e6 0.0118402
\(571\) −7.84214e7 + 4.52766e7i −0.421237 + 0.243201i −0.695606 0.718423i \(-0.744864\pi\)
0.274370 + 0.961624i \(0.411531\pi\)
\(572\) −1.71455e7 + 2.96969e7i −0.0916141 + 0.158680i
\(573\) −4.10541e7 + 7.11078e7i −0.218219 + 0.377967i
\(574\) −1.94425e8 + 3.36754e8i −1.02806 + 1.78065i
\(575\) −3.59668e7 −0.189190
\(576\) 9.04249e7 1.56621e8i 0.473174 0.819561i
\(577\) 1.87405e8 + 1.08198e8i 0.975557 + 0.563238i 0.900926 0.433973i \(-0.142889\pi\)
0.0746313 + 0.997211i \(0.476222\pi\)
\(578\) −3.85778e7 + 2.22729e7i −0.199781 + 0.115344i
\(579\) 1.12608e8 6.50143e7i 0.580142 0.334945i
\(580\) −1.65717e6 −0.00849345
\(581\) 1.31935e8i 0.672717i
\(582\) −2.73066e7 4.72963e7i −0.138515 0.239916i
\(583\) 1.14424e8 + 1.98189e8i 0.577448 + 1.00017i
\(584\) −1.29938e8 + 2.25059e8i −0.652375 + 1.12995i
\(585\) 1.42075e7 + 8.20273e6i 0.0709662 + 0.0409724i
\(586\) 1.55836e8i 0.774419i
\(587\) −1.28260e8 7.40511e7i −0.634129 0.366115i 0.148220 0.988954i \(-0.452646\pi\)
−0.782350 + 0.622840i \(0.785979\pi\)
\(588\) −5.12644e6 2.95975e6i −0.0252165 0.0145587i
\(589\) −1.15793e8 6.68529e7i −0.566676 0.327171i
\(590\) 9.57889e6 + 1.65911e7i 0.0466401 + 0.0807830i
\(591\) 1.22963e8i 0.595678i
\(592\) −1.98222e8 + 1.14443e8i −0.955403 + 0.551602i
\(593\) 2.93213e8 + 1.69287e8i 1.40611 + 0.811819i 0.995010 0.0997707i \(-0.0318109\pi\)
0.411101 + 0.911590i \(0.365144\pi\)
\(594\) −1.66873e8 −0.796206
\(595\) −1.07093e7 + 1.85491e7i −0.0508406 + 0.0880585i
\(596\) −2.06936e7 + 1.19475e7i −0.0977457 + 0.0564335i
\(597\) 7.11682e7 + 1.23267e8i 0.334474 + 0.579327i
\(598\) 3.78181e7i 0.176846i
\(599\) 7.50798e6 + 1.30042e7i 0.0349335 + 0.0605067i 0.882964 0.469441i \(-0.155545\pi\)
−0.848030 + 0.529948i \(0.822211\pi\)
\(600\) 8.49465e7 0.393271
\(601\) 1.76814e8i 0.814503i −0.913316 0.407252i \(-0.866487\pi\)
0.913316 0.407252i \(-0.133513\pi\)
\(602\) 1.17971e8 + 2.19178e8i 0.540737 + 1.00463i
\(603\) −2.29664e8 −1.04747
\(604\) 1.84774e7i 0.0838552i
\(605\) 9.70403e6 5.60263e6i 0.0438214 0.0253003i
\(606\) 3.57931e7 0.160836
\(607\) −1.85350e8 + 1.07012e8i −0.828754 + 0.478481i −0.853426 0.521214i \(-0.825479\pi\)
0.0246719 + 0.999696i \(0.492146\pi\)
\(608\) −1.18456e7 2.05171e7i −0.0527042 0.0912864i
\(609\) 5.48644e7 + 3.16760e7i 0.242906 + 0.140242i
\(610\) 5.72527e6i 0.0252236i
\(611\) −9.11739e7 + 1.57918e8i −0.399712 + 0.692321i
\(612\) −1.25894e7 2.18055e7i −0.0549226 0.0951287i
\(613\) 8.50719e7 0.369322 0.184661 0.982802i \(-0.440881\pi\)
0.184661 + 0.982802i \(0.440881\pi\)
\(614\) −1.15119e8 + 6.64641e7i −0.497328 + 0.287132i
\(615\) −7.45882e6 + 1.29191e7i −0.0320660 + 0.0555400i
\(616\) 1.89427e8 3.28097e8i 0.810399 1.40365i
\(617\) −1.30388e8 + 2.25838e8i −0.555112 + 0.961483i 0.442783 + 0.896629i \(0.353991\pi\)
−0.997895 + 0.0648535i \(0.979342\pi\)
\(618\) 2.83292e7 0.120024
\(619\) −2.16275e8 + 3.74600e8i −0.911874 + 1.57941i −0.100459 + 0.994941i \(0.532031\pi\)
−0.811415 + 0.584471i \(0.801302\pi\)
\(620\) 5.25276e6 + 3.03269e6i 0.0220401 + 0.0127248i
\(621\) 2.75811e7 1.59240e7i 0.115169 0.0664931i
\(622\) 7.05726e7 4.07451e7i 0.293268 0.169319i
\(623\) −2.83489e8 −1.17239
\(624\) 7.58491e7i 0.312174i
\(625\) −1.18775e8 2.05724e8i −0.486501 0.842645i
\(626\) −1.13767e8 1.97051e8i −0.463761 0.803257i
\(627\) −2.05945e7 + 3.56706e7i −0.0835502 + 0.144713i
\(628\) −1.09731e7 6.33533e6i −0.0443048 0.0255794i
\(629\) 2.86240e8i 1.15021i
\(630\) −2.01794e7 1.16506e7i −0.0807024 0.0465936i
\(631\) 2.25092e7 + 1.29957e7i 0.0895924 + 0.0517262i 0.544127 0.839003i \(-0.316861\pi\)
−0.454534 + 0.890729i \(0.650194\pi\)
\(632\) 4.25694e8 + 2.45775e8i 1.68635 + 0.973612i
\(633\) 3.01865e7 + 5.22845e7i 0.119015 + 0.206140i
\(634\) 2.09982e8i 0.823976i
\(635\) −5.56048e6 + 3.21034e6i −0.0217166 + 0.0125381i
\(636\) 1.14846e7 + 6.63065e6i 0.0446422 + 0.0257742i
\(637\) 1.36648e8 0.528671
\(638\) −8.99409e7 + 1.55782e8i −0.346334 + 0.599868i
\(639\) −7.51662e7 + 4.33972e7i −0.288084 + 0.166326i
\(640\) −9.01384e6 1.56124e7i −0.0343851 0.0595567i
\(641\) 2.39688e8i 0.910065i −0.890475 0.455033i \(-0.849628\pi\)
0.890475 0.455033i \(-0.150372\pi\)
\(642\) −8.38172e7 1.45176e8i −0.316758 0.548641i
\(643\) 3.61153e6 0.0135850 0.00679249 0.999977i \(-0.497838\pi\)
0.00679249 + 0.999977i \(0.497838\pi\)
\(644\) 9.29535e6i 0.0348023i
\(645\) 4.52578e6 + 8.40844e6i 0.0168661 + 0.0313355i
\(646\) 7.76872e7 0.288172
\(647\) 5.83802e7i 0.215552i 0.994175 + 0.107776i \(0.0343730\pi\)
−0.994175 + 0.107776i \(0.965627\pi\)
\(648\) 1.49497e8 8.63119e7i 0.549422 0.317209i
\(649\) −3.59867e8 −1.31646
\(650\) −2.18320e8 + 1.26047e8i −0.794973 + 0.458978i
\(651\) −1.15936e8 2.00808e8i −0.420220 0.727842i
\(652\) 1.38471e7 + 7.99463e6i 0.0499593 + 0.0288440i
\(653\) 3.63961e8i 1.30712i 0.756876 + 0.653559i \(0.226725\pi\)
−0.756876 + 0.653559i \(0.773275\pi\)
\(654\) −3.03751e7 + 5.26112e7i −0.108589 + 0.188081i
\(655\) −9.71329e6 1.68239e7i −0.0345655 0.0598691i
\(656\) −4.22626e8 −1.49708
\(657\) −2.60015e8 + 1.50120e8i −0.916859 + 0.529349i
\(658\) 1.29497e8 2.24295e8i 0.454550 0.787304i
\(659\) 2.32501e8 4.02703e8i 0.812396 1.40711i −0.0987861 0.995109i \(-0.531496\pi\)
0.911182 0.412003i \(-0.135171\pi\)
\(660\) 934237. 1.61815e6i 0.00324957 0.00562841i
\(661\) 1.67832e8 0.581127 0.290563 0.956856i \(-0.406157\pi\)
0.290563 + 0.956856i \(0.406157\pi\)
\(662\) −1.01099e8 + 1.75109e8i −0.348478 + 0.603581i
\(663\) −8.21466e7 4.74274e7i −0.281870 0.162738i
\(664\) 1.46237e8 8.44302e7i 0.499521 0.288399i
\(665\) −1.07746e7 + 6.22069e6i −0.0366382 + 0.0211531i
\(666\) −3.11398e8 −1.05413
\(667\) 3.43308e7i 0.115693i
\(668\) 1.71095e7 + 2.96344e7i 0.0573993 + 0.0994186i
\(669\) 3.89319e7 + 6.74321e7i 0.130025 + 0.225210i
\(670\) −1.60725e7 + 2.78384e7i −0.0534391 + 0.0925592i
\(671\) 9.31371e7 + 5.37727e7i 0.308287 + 0.177990i
\(672\) 4.10852e7i 0.135387i
\(673\) −2.73265e7 1.57769e7i −0.0896476 0.0517580i 0.454506 0.890744i \(-0.349816\pi\)
−0.544154 + 0.838986i \(0.683149\pi\)
\(674\) 2.22305e8 + 1.28348e8i 0.726055 + 0.419188i
\(675\) 1.83854e8 + 1.06148e8i 0.597809 + 0.345145i
\(676\) −149323. 258636.i −0.000483379 0.000837238i
\(677\) 4.80339e8i 1.54804i −0.633162 0.774019i \(-0.718243\pi\)
0.633162 0.774019i \(-0.281757\pi\)
\(678\) 6.57041e7 3.79343e7i 0.210816 0.121715i
\(679\) 2.68356e8 + 1.54936e8i 0.857241 + 0.494928i
\(680\) −2.74131e7 −0.0871829
\(681\) 3.53886e7 6.12948e7i 0.112053 0.194081i
\(682\) 5.70174e8 3.29190e8i 1.79744 1.03775i
\(683\) −8.28952e7 1.43579e8i −0.260176 0.450638i 0.706113 0.708100i \(-0.250447\pi\)
−0.966289 + 0.257462i \(0.917114\pi\)
\(684\) 1.46256e7i 0.0457029i
\(685\) 1.68841e6 + 2.92441e6i 0.00525299 + 0.00909844i
\(686\) 1.74235e8 0.539713
\(687\) 7.90077e7i 0.243668i
\(688\) −1.42192e8 + 2.30148e8i −0.436627 + 0.706712i
\(689\) −3.06129e8 −0.935938
\(690\) 2.06066e6i 0.00627277i
\(691\) 8.37351e7 4.83445e7i 0.253789 0.146525i −0.367709 0.929941i \(-0.619858\pi\)
0.621498 + 0.783416i \(0.286524\pi\)
\(692\) −3.61075e7 −0.108963
\(693\) 3.79057e8 2.18849e8i 1.13895 0.657573i
\(694\) −2.21335e8 3.83363e8i −0.662172 1.14692i
\(695\) −2.25347e7 1.30104e7i −0.0671271 0.0387558i
\(696\) 8.10824e7i 0.240491i
\(697\) −2.64262e8 + 4.57716e8i −0.780436 + 1.35175i
\(698\) −2.70551e8 4.68608e8i −0.795578 1.37798i
\(699\) 1.66557e8 0.487676
\(700\) −5.36610e7 + 3.09812e7i −0.156446 + 0.0903241i
\(701\) 1.43958e8 2.49343e8i 0.417910 0.723842i −0.577819 0.816165i \(-0.696096\pi\)
0.995729 + 0.0923230i \(0.0294292\pi\)
\(702\) 1.11612e8 1.93318e8i 0.322626 0.558805i
\(703\) −8.31337e7 + 1.43992e8i −0.239283 + 0.414450i
\(704\) 4.75483e8 1.36275
\(705\) 4.96795e6 8.60475e6i 0.0141778 0.0245567i
\(706\) 3.68160e8 + 2.12557e8i 1.04622 + 0.604035i
\(707\) −1.75879e8 + 1.01544e8i −0.497687 + 0.287340i
\(708\) −1.80597e7 + 1.04268e7i −0.0508874 + 0.0293798i
\(709\) 2.29466e8 0.643842 0.321921 0.946767i \(-0.395671\pi\)
0.321921 + 0.946767i \(0.395671\pi\)
\(710\) 1.21482e7i 0.0339420i
\(711\) 2.83949e8 + 4.91813e8i 0.790007 + 1.36833i
\(712\) −1.81415e8 3.14219e8i −0.502611 0.870548i
\(713\) −6.28265e7 + 1.08819e8i −0.173330 + 0.300217i
\(714\) 1.16675e8 + 6.73625e7i 0.320541 + 0.185065i
\(715\) 4.31326e7i 0.118002i
\(716\) 7.39773e7 + 4.27108e7i 0.201539 + 0.116359i
\(717\) −4.89045e7 2.82350e7i −0.132676 0.0766003i
\(718\) 2.83693e8 + 1.63790e8i 0.766434 + 0.442501i
\(719\) −4.48018e7 7.75991e7i −0.120534 0.208771i 0.799444 0.600740i \(-0.205127\pi\)
−0.919978 + 0.391969i \(0.871794\pi\)
\(720\) 2.53251e7i 0.0678507i
\(721\) −1.39203e8 + 8.03691e7i −0.371402 + 0.214429i
\(722\) −2.61862e8 1.51186e8i −0.695763 0.401699i
\(723\) −2.55690e8 −0.676548
\(724\) 2.11405e7 3.66165e7i 0.0557058 0.0964853i
\(725\) 1.98188e8 1.14424e8i 0.520071 0.300263i
\(726\) −3.52410e7 6.10392e7i −0.0920955 0.159514i
\(727\) 1.86804e8i 0.486163i 0.970006 + 0.243082i \(0.0781583\pi\)
−0.970006 + 0.243082i \(0.921842\pi\)
\(728\) 2.53395e8 + 4.38892e8i 0.656755 + 1.13753i
\(729\) 9.83527e7 0.253865
\(730\) 4.20232e7i 0.108024i
\(731\) 1.60346e8 + 2.97907e8i 0.410494 + 0.762656i
\(732\) 6.23203e6 0.0158890
\(733\) 3.91699e8i 0.994582i 0.867584 + 0.497291i \(0.165672\pi\)
−0.867584 + 0.497291i \(0.834328\pi\)
\(734\) 5.67780e7 3.27808e7i 0.143579 0.0828956i
\(735\) −7.44579e6 −0.0187520
\(736\) −1.92814e7 + 1.11321e7i −0.0483622 + 0.0279219i
\(737\) −3.01911e8 5.22926e8i −0.754184 1.30628i
\(738\) −4.97946e8 2.87489e8i −1.23883 0.715241i
\(739\) 1.26171e8i 0.312627i −0.987707 0.156314i \(-0.950039\pi\)
0.987707 0.156314i \(-0.0499611\pi\)
\(740\) 3.77124e6 6.53197e6i 0.00930655 0.0161194i
\(741\) −2.75490e7 4.77163e7i −0.0677098 0.117277i
\(742\) 4.34804e8 1.06434
\(743\) −1.19957e8 + 6.92569e7i −0.292454 + 0.168848i −0.639048 0.769167i \(-0.720671\pi\)
0.346594 + 0.938015i \(0.387338\pi\)
\(744\) 1.48384e8 2.57008e8i 0.360302 0.624062i
\(745\) −1.50280e7 + 2.60293e7i −0.0363440 + 0.0629496i
\(746\) −4.62695e7 + 8.01412e7i −0.111450 + 0.193036i
\(747\) 1.95088e8 0.468024
\(748\) 3.30996e7 5.73301e7i 0.0790893 0.136987i
\(749\) 8.23717e8 + 4.75573e8i 1.96035 + 1.13181i
\(750\) 2.39003e7 1.37988e7i 0.0566525 0.0327083i
\(751\) −5.91540e8 + 3.41526e8i −1.39658 + 0.806313i −0.994032 0.109087i \(-0.965207\pi\)
−0.402544 + 0.915401i \(0.631874\pi\)
\(752\) 2.81490e8 0.661927
\(753\) 4.70874e7i 0.110286i
\(754\) −1.20313e8 2.08389e8i −0.280672 0.486138i
\(755\) 1.16208e7 + 2.01278e7i 0.0270020 + 0.0467687i
\(756\) 2.74332e7 4.75157e7i 0.0634909 0.109969i
\(757\) −1.32355e8 7.64151e7i −0.305107 0.176154i 0.339628 0.940560i \(-0.389699\pi\)
−0.644735 + 0.764406i \(0.723032\pi\)
\(758\) 3.83235e8i 0.879949i
\(759\) 3.35223e7 + 1.93541e7i 0.0766670 + 0.0442637i
\(760\) −1.37900e7 7.96169e6i −0.0314141 0.0181370i
\(761\) 1.00725e8 + 5.81537e7i 0.228551 + 0.131954i 0.609904 0.792476i \(-0.291208\pi\)
−0.381352 + 0.924430i \(0.624541\pi\)
\(762\) 2.01933e7 + 3.49759e7i 0.0456398 + 0.0790504i
\(763\) 3.44693e8i 0.775995i
\(764\) 6.63845e7 3.83271e7i 0.148863 0.0859461i