Properties

Label 43.7.f.a.2.20
Level 43
Weight 7
Character 43.2
Analytic conductor 9.892
Analytic rank 0
Dimension 126
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 43.f (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(9.89232559565\)
Analytic rank: \(0\)
Dimension: \(126\)
Relative dimension: \(21\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 2.20
Character \(\chi\) \(=\) 43.2
Dual form 43.7.f.a.22.20

$q$-expansion

\(f(q)\) \(=\) \(q+(5.84606 + 12.1395i) q^{2} +(12.7263 - 26.4263i) q^{3} +(-73.2871 + 91.8991i) q^{4} +(119.457 + 27.2654i) q^{5} +395.200 q^{6} +91.2949i q^{7} +(-703.346 - 160.534i) q^{8} +(-81.8698 - 102.661i) q^{9} +O(q^{10})\) \(q+(5.84606 + 12.1395i) q^{2} +(12.7263 - 26.4263i) q^{3} +(-73.2871 + 91.8991i) q^{4} +(119.457 + 27.2654i) q^{5} +395.200 q^{6} +91.2949i q^{7} +(-703.346 - 160.534i) q^{8} +(-81.8698 - 102.661i) q^{9} +(367.368 + 1609.55i) q^{10} +(986.877 + 1237.50i) q^{11} +(1495.89 + 3106.24i) q^{12} +(-206.444 + 904.490i) q^{13} +(-1108.27 + 533.716i) q^{14} +(2240.77 - 2809.84i) q^{15} +(-489.028 - 2142.57i) q^{16} +(-1065.17 - 4666.82i) q^{17} +(767.640 - 1594.02i) q^{18} +(-1425.32 - 1136.65i) q^{19} +(-11260.4 + 8979.83i) q^{20} +(2412.59 + 1161.84i) q^{21} +(-9253.31 + 19214.7i) q^{22} +(-8252.74 - 10348.6i) q^{23} +(-13193.3 + 16543.8i) q^{24} +(-550.970 - 265.333i) q^{25} +(-12186.9 + 2781.59i) q^{26} +(17091.4 - 3900.99i) q^{27} +(-8389.92 - 6690.74i) q^{28} +(-4817.08 - 10002.8i) q^{29} +(47209.6 + 10775.3i) q^{30} +(40254.5 - 19385.5i) q^{31} +(-12947.7 + 10325.4i) q^{32} +(45262.0 - 10330.7i) q^{33} +(50425.7 - 40213.1i) q^{34} +(-2489.19 + 10905.9i) q^{35} +15434.5 q^{36} +18047.7i q^{37} +(5465.87 - 23947.5i) q^{38} +(21275.1 + 16966.3i) q^{39} +(-79642.8 - 38354.0i) q^{40} +(4598.53 - 2214.53i) q^{41} +36079.8i q^{42} +(-49340.2 - 62345.1i) q^{43} -186051. q^{44} +(-6980.85 - 14495.9i) q^{45} +(77380.7 - 160683. i) q^{46} +(-88607.8 + 111111. i) q^{47} +(-62843.9 - 14343.7i) q^{48} +109314. q^{49} -8239.64i q^{50} +(-136882. - 31242.5i) q^{51} +(-67992.2 - 85259.5i) q^{52} +(-35176.6 - 154119. i) q^{53} +(147273. + 184675. i) q^{54} +(84148.7 + 174737. i) q^{55} +(14655.9 - 64211.9i) q^{56} +(-48176.5 + 23200.6i) q^{57} +(93267.4 - 116954. i) q^{58} +(-72125.4 - 316002. i) q^{59} +(94002.0 + 411849. i) q^{60} +(151869. - 315360. i) q^{61} +(470661. + 375339. i) q^{62} +(9372.47 - 7474.29i) q^{63} +(-327761. - 157841. i) q^{64} +(-49322.5 + 102419. i) q^{65} +(390014. + 489062. i) q^{66} +(-353608. + 443411. i) q^{67} +(506940. + 244129. i) q^{68} +(-378502. + 86390.7i) q^{69} +(-146943. + 33538.9i) q^{70} +(12732.2 + 10153.6i) q^{71} +(41102.1 + 85349.3i) q^{72} +(-370710. - 84612.2i) q^{73} +(-219089. + 105508. i) q^{74} +(-14023.6 + 11183.4i) q^{75} +(208915. - 47683.4i) q^{76} +(-112978. + 90096.8i) q^{77} +(-81586.8 + 357455. i) q^{78} -160008. q^{79} -269280. i q^{80} +(135721. - 594631. i) q^{81} +(53766.6 + 42877.4i) q^{82} +(598811. + 288372. i) q^{83} +(-283584. + 136567. i) q^{84} -586528. i q^{85} +(468391. - 963437. i) q^{86} -325640. q^{87} +(-495454. - 1.02882e6i) q^{88} +(-254266. + 527990. i) q^{89} +(135162. - 169488. i) q^{90} +(-82575.4 - 18847.3i) q^{91} +1.55585e6 q^{92} -1.31048e6i q^{93} +(-1.86683e6 - 426092. i) q^{94} +(-139273. - 174643. i) q^{95} +(108088. + 473564. i) q^{96} +(-170151. - 213363. i) q^{97} +(639058. + 1.32702e6i) q^{98} +(46248.6 - 202628. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 126q - 7q^{2} - 7q^{3} + 725q^{4} - 7q^{5} + 244q^{6} + 2233q^{8} + 6312q^{9} + O(q^{10}) \) \( 126q - 7q^{2} - 7q^{3} + 725q^{4} - 7q^{5} + 244q^{6} + 2233q^{8} + 6312q^{9} + 1955q^{10} - 985q^{11} - 455q^{12} - 4485q^{13} - 6771q^{14} + 5017q^{15} - 41935q^{16} - 10409q^{17} - 5110q^{18} - 33397q^{19} - 24507q^{20} - 5448q^{21} + 25193q^{22} - 29017q^{23} - 1885q^{24} - 2080q^{25} + 34713q^{26} - 7q^{27} + 28665q^{28} + 17353q^{29} - 290052q^{30} + 13547q^{31} + 458283q^{32} - 94801q^{33} - 191527q^{34} + 183008q^{35} + 956352q^{36} + 304607q^{38} - 381031q^{39} + 66419q^{40} + 313447q^{41} - 323228q^{43} + 281588q^{44} - 1237551q^{45} + 80948q^{46} - 180133q^{47} - 762055q^{48} - 1861754q^{49} + 999215q^{51} + 471797q^{52} + 1030011q^{53} - 92099q^{54} + 324233q^{55} - 842713q^{56} + 331037q^{57} + 849461q^{58} - 369609q^{59} + 553323q^{60} - 594727q^{61} - 886711q^{62} + 1914136q^{63} - 3250219q^{64} + 1473521q^{65} - 427559q^{66} + 122535q^{67} - 602346q^{68} + 4320057q^{69} - 1694994q^{70} - 770707q^{71} - 391202q^{72} + 476945q^{73} - 3943812q^{74} + 2061367q^{75} - 2044462q^{76} + 3016216q^{77} + 239350q^{78} + 5077268q^{79} + 2388946q^{81} + 5820437q^{82} - 1324235q^{83} + 3759618q^{84} - 4967947q^{86} - 3537894q^{87} - 7289555q^{88} - 4331495q^{89} - 12825206q^{90} + 1802976q^{91} - 12038260q^{92} + 6249341q^{94} - 5313259q^{95} + 7069598q^{96} + 788975q^{97} + 4724783q^{98} - 2216971q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{9}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 5.84606 + 12.1395i 0.730758 + 1.51743i 0.851273 + 0.524723i \(0.175831\pi\)
−0.120515 + 0.992712i \(0.538455\pi\)
\(3\) 12.7263 26.4263i 0.471343 0.978753i −0.520804 0.853676i \(-0.674368\pi\)
0.992147 0.125077i \(-0.0399178\pi\)
\(4\) −73.2871 + 91.8991i −1.14511 + 1.43592i
\(5\) 119.457 + 27.2654i 0.955659 + 0.218123i 0.671791 0.740740i \(-0.265525\pi\)
0.283868 + 0.958863i \(0.408382\pi\)
\(6\) 395.200 1.82963
\(7\) 91.2949i 0.266166i 0.991105 + 0.133083i \(0.0424877\pi\)
−0.991105 + 0.133083i \(0.957512\pi\)
\(8\) −703.346 160.534i −1.37372 0.313543i
\(9\) −81.8698 102.661i −0.112304 0.140825i
\(10\) 367.368 + 1609.55i 0.367368 + 1.60955i
\(11\) 986.877 + 1237.50i 0.741455 + 0.929755i 0.999337 0.0364212i \(-0.0115958\pi\)
−0.257881 + 0.966177i \(0.583024\pi\)
\(12\) 1495.89 + 3106.24i 0.865675 + 1.79759i
\(13\) −206.444 + 904.490i −0.0939663 + 0.411693i −0.999932 0.0116577i \(-0.996289\pi\)
0.905966 + 0.423351i \(0.139146\pi\)
\(14\) −1108.27 + 533.716i −0.403889 + 0.194503i
\(15\) 2240.77 2809.84i 0.663932 0.832544i
\(16\) −489.028 2142.57i −0.119392 0.523089i
\(17\) −1065.17 4666.82i −0.216806 0.949891i −0.959820 0.280615i \(-0.909462\pi\)
0.743014 0.669276i \(-0.233396\pi\)
\(18\) 767.640 1594.02i 0.131626 0.273323i
\(19\) −1425.32 1136.65i −0.207802 0.165717i 0.514058 0.857755i \(-0.328141\pi\)
−0.721861 + 0.692038i \(0.756713\pi\)
\(20\) −11260.4 + 8979.83i −1.40754 + 1.12248i
\(21\) 2412.59 + 1161.84i 0.260511 + 0.125455i
\(22\) −9253.31 + 19214.7i −0.869019 + 1.80454i
\(23\) −8252.74 10348.6i −0.678289 0.850547i 0.316907 0.948457i \(-0.397356\pi\)
−0.995195 + 0.0979095i \(0.968784\pi\)
\(24\) −13193.3 + 16543.8i −0.954375 + 1.19675i
\(25\) −550.970 265.333i −0.0352621 0.0169813i
\(26\) −12186.9 + 2781.59i −0.693384 + 0.158260i
\(27\) 17091.4 3900.99i 0.868331 0.198191i
\(28\) −8389.92 6690.74i −0.382194 0.304790i
\(29\) −4817.08 10002.8i −0.197510 0.410134i 0.778566 0.627563i \(-0.215947\pi\)
−0.976076 + 0.217428i \(0.930233\pi\)
\(30\) 47209.6 + 10775.3i 1.74850 + 0.399085i
\(31\) 40254.5 19385.5i 1.35123 0.650718i 0.388566 0.921421i \(-0.372970\pi\)
0.962663 + 0.270703i \(0.0872561\pi\)
\(32\) −12947.7 + 10325.4i −0.395132 + 0.315107i
\(33\) 45262.0 10330.7i 1.25948 0.287468i
\(34\) 50425.7 40213.1i 1.28296 1.02313i
\(35\) −2489.19 + 10905.9i −0.0580569 + 0.254364i
\(36\) 15434.5 0.330815
\(37\) 18047.7i 0.356300i 0.984003 + 0.178150i \(0.0570112\pi\)
−0.984003 + 0.178150i \(0.942989\pi\)
\(38\) 5465.87 23947.5i 0.0996112 0.436425i
\(39\) 21275.1 + 16966.3i 0.358656 + 0.286019i
\(40\) −79642.8 38354.0i −1.24442 0.599281i
\(41\) 4598.53 2214.53i 0.0667217 0.0321315i −0.400225 0.916417i \(-0.631068\pi\)
0.466947 + 0.884285i \(0.345354\pi\)
\(42\) 36079.8i 0.486986i
\(43\) −49340.2 62345.1i −0.620576 0.784146i
\(44\) −186051. −2.18411
\(45\) −6980.85 14495.9i −0.0766074 0.159077i
\(46\) 77380.7 160683.i 0.794985 1.65080i
\(47\) −88607.8 + 111111.i −0.853451 + 1.07019i 0.143303 + 0.989679i \(0.454228\pi\)
−0.996753 + 0.0805144i \(0.974344\pi\)
\(48\) −62843.9 14343.7i −0.568250 0.129699i
\(49\) 109314. 0.929156
\(50\) 8239.64i 0.0659171i
\(51\) −136882. 31242.5i −1.03190 0.235524i
\(52\) −67992.2 85259.5i −0.483558 0.606363i
\(53\) −35176.6 154119.i −0.236279 1.03521i −0.944318 0.329034i \(-0.893277\pi\)
0.708039 0.706174i \(-0.249580\pi\)
\(54\) 147273. + 184675.i 0.935281 + 1.17281i
\(55\) 84148.7 + 174737.i 0.505777 + 1.05026i
\(56\) 14655.9 64211.9i 0.0834545 0.365638i
\(57\) −48176.5 + 23200.6i −0.260142 + 0.125278i
\(58\) 93267.4 116954.i 0.478020 0.599418i
\(59\) −72125.4 316002.i −0.351182 1.53863i −0.774456 0.632628i \(-0.781976\pi\)
0.423274 0.906002i \(-0.360881\pi\)
\(60\) 94002.0 + 411849.i 0.435194 + 1.90671i
\(61\) 151869. 315360.i 0.669084 1.38937i −0.239182 0.970975i \(-0.576879\pi\)
0.908266 0.418393i \(-0.137406\pi\)
\(62\) 470661. + 375339.i 1.97484 + 1.57489i
\(63\) 9372.47 7474.29i 0.0374828 0.0298915i
\(64\) −327761. 157841.i −1.25031 0.602116i
\(65\) −49322.5 + 102419.i −0.179600 + 0.372942i
\(66\) 390014. + 489062.i 1.35659 + 1.70111i
\(67\) −353608. + 443411.i −1.17570 + 1.47429i −0.327314 + 0.944916i \(0.606143\pi\)
−0.848391 + 0.529371i \(0.822428\pi\)
\(68\) 506940. + 244129.i 1.61224 + 0.776413i
\(69\) −378502. + 86390.7i −1.15218 + 0.262978i
\(70\) −146943. + 33538.9i −0.428406 + 0.0977809i
\(71\) 12732.2 + 10153.6i 0.0355737 + 0.0283691i 0.641115 0.767445i \(-0.278472\pi\)
−0.605542 + 0.795814i \(0.707043\pi\)
\(72\) 41102.1 + 85349.3i 0.110120 + 0.228667i
\(73\) −370710. 84612.2i −0.952941 0.217503i −0.282335 0.959316i \(-0.591109\pi\)
−0.670606 + 0.741813i \(0.733966\pi\)
\(74\) −219089. + 105508.i −0.540662 + 0.260369i
\(75\) −14023.6 + 11183.4i −0.0332410 + 0.0265088i
\(76\) 208915. 47683.4i 0.475913 0.108624i
\(77\) −112978. + 90096.8i −0.247469 + 0.197350i
\(78\) −81586.8 + 357455.i −0.171924 + 0.753247i
\(79\) −160008. −0.324533 −0.162267 0.986747i \(-0.551880\pi\)
−0.162267 + 0.986747i \(0.551880\pi\)
\(80\) 269280.i 0.525937i
\(81\) 135721. 594631.i 0.255382 1.11890i
\(82\) 53766.6 + 42877.4i 0.0975149 + 0.0777655i
\(83\) 598811. + 288372.i 1.04726 + 0.504335i 0.876713 0.481014i \(-0.159731\pi\)
0.170549 + 0.985349i \(0.445446\pi\)
\(84\) −283584. + 136567.i −0.478458 + 0.230413i
\(85\) 586528.i 0.955063i
\(86\) 468391. 963437.i 0.736399 1.51471i
\(87\) −325640. −0.494516
\(88\) −495454. 1.02882e6i −0.727035 1.50970i
\(89\) −254266. + 527990.i −0.360677 + 0.748954i −0.999797 0.0201531i \(-0.993585\pi\)
0.639120 + 0.769107i \(0.279299\pi\)
\(90\) 135162. 169488.i 0.185407 0.232493i
\(91\) −82575.4 18847.3i −0.109579 0.0250106i
\(92\) 1.55585e6 1.99804
\(93\) 1.31048e6i 1.62923i
\(94\) −1.86683e6 426092.i −2.24761 0.513003i
\(95\) −139273. 174643.i −0.162442 0.203695i
\(96\) 108088. + 473564.i 0.122170 + 0.535260i
\(97\) −170151. 213363.i −0.186432 0.233778i 0.679828 0.733371i \(-0.262054\pi\)
−0.866260 + 0.499593i \(0.833483\pi\)
\(98\) 639058. + 1.32702e6i 0.678988 + 1.40993i
\(99\) 46248.6 202628.i 0.0476643 0.208831i
\(100\) 64762.9 31188.1i 0.0647629 0.0311881i
\(101\) −715493. + 897200.i −0.694450 + 0.870813i −0.996595 0.0824489i \(-0.973726\pi\)
0.302145 + 0.953262i \(0.402297\pi\)
\(102\) −420956. 1.84433e6i −0.396676 1.73795i
\(103\) 203253. + 890509.i 0.186005 + 0.814942i 0.978695 + 0.205317i \(0.0658226\pi\)
−0.792690 + 0.609624i \(0.791320\pi\)
\(104\) 290403. 603028.i 0.258167 0.536090i
\(105\) 256524. + 204571.i 0.221595 + 0.176716i
\(106\) 1.66528e6 1.32801e6i 1.39820 1.11503i
\(107\) −368095. 177265.i −0.300475 0.144701i 0.277571 0.960705i \(-0.410470\pi\)
−0.578046 + 0.816004i \(0.696185\pi\)
\(108\) −894078. + 1.85657e6i −0.709748 + 1.47381i
\(109\) 99442.1 + 124696.i 0.0767875 + 0.0962885i 0.818742 0.574162i \(-0.194672\pi\)
−0.741954 + 0.670451i \(0.766101\pi\)
\(110\) −1.62927e6 + 2.04304e6i −1.22410 + 1.53497i
\(111\) 476934. + 229679.i 0.348730 + 0.167939i
\(112\) 195606. 44645.8i 0.139229 0.0317780i
\(113\) 1.52885e6 348951.i 1.05957 0.241840i 0.342987 0.939340i \(-0.388561\pi\)
0.716585 + 0.697500i \(0.245704\pi\)
\(114\) −563286. 449205.i −0.380202 0.303201i
\(115\) −703692. 1.46123e6i −0.462689 0.960784i
\(116\) 1.27228e6 + 290389.i 0.815093 + 0.186040i
\(117\) 109758. 52856.6i 0.0685295 0.0330021i
\(118\) 3.41445e6 2.72293e6i 2.07814 1.65726i
\(119\) 426057. 97244.6i 0.252829 0.0577065i
\(120\) −2.02711e6 + 1.61657e6i −1.17310 + 0.935512i
\(121\) −163282. + 715384.i −0.0921683 + 0.403816i
\(122\) 4.71614e6 2.59721
\(123\) 149705.i 0.0804490i
\(124\) −1.16862e6 + 5.12006e6i −0.612927 + 2.68541i
\(125\) −1.55542e6 1.24040e6i −0.796374 0.635087i
\(126\) 145526. + 70081.6i 0.0727493 + 0.0350342i
\(127\) 1.69233e6 814983.i 0.826179 0.397867i 0.0274981 0.999622i \(-0.491246\pi\)
0.798681 + 0.601755i \(0.205532\pi\)
\(128\) 3.84171e6i 1.83187i
\(129\) −2.27547e6 + 510460.i −1.05999 + 0.237790i
\(130\) −1.53166e6 −0.697159
\(131\) 1.24834e6 + 2.59220e6i 0.555287 + 1.15307i 0.969998 + 0.243112i \(0.0781683\pi\)
−0.414711 + 0.909953i \(0.636117\pi\)
\(132\) −2.36773e6 + 4.91664e6i −1.02946 + 2.13770i
\(133\) 103771. 130124.i 0.0441082 0.0553099i
\(134\) −7.44999e6 1.70041e6i −3.09629 0.706708i
\(135\) 2.14805e6 0.873058
\(136\) 3.45338e6i 1.37286i
\(137\) 1.99285e6 + 454856.i 0.775021 + 0.176893i 0.591698 0.806159i \(-0.298458\pi\)
0.183322 + 0.983053i \(0.441315\pi\)
\(138\) −3.26149e6 4.08977e6i −1.24102 1.55619i
\(139\) 514758. + 2.25530e6i 0.191672 + 0.839770i 0.975712 + 0.219059i \(0.0702987\pi\)
−0.784040 + 0.620711i \(0.786844\pi\)
\(140\) −819813. 1.02801e6i −0.298766 0.374640i
\(141\) 1.80860e6 + 3.75560e6i 0.645187 + 1.33975i
\(142\) −48826.1 + 213921.i −0.0170525 + 0.0747118i
\(143\) −1.32305e6 + 637145.i −0.452446 + 0.217886i
\(144\) −179923. + 225616.i −0.0602559 + 0.0755585i
\(145\) −302707. 1.32624e6i −0.0992928 0.435030i
\(146\) −1.14005e6 4.99488e6i −0.366323 1.60497i
\(147\) 1.39116e6 2.88878e6i 0.437951 0.909414i
\(148\) −1.65856e6 1.32266e6i −0.511620 0.408003i
\(149\) 3.99139e6 3.18303e6i 1.20661 0.962236i 0.206737 0.978397i \(-0.433716\pi\)
0.999869 + 0.0161602i \(0.00514416\pi\)
\(150\) −217743. 104860.i −0.0645166 0.0310696i
\(151\) −1.43473e6 + 2.97924e6i −0.416715 + 0.865317i 0.581928 + 0.813240i \(0.302298\pi\)
−0.998643 + 0.0520770i \(0.983416\pi\)
\(152\) 820018. + 1.02827e6i 0.233503 + 0.292804i
\(153\) −391897. + 491423.i −0.109420 + 0.137209i
\(154\) −1.75420e6 844780.i −0.480306 0.231303i
\(155\) 5.33725e6 1.21819e6i 1.43325 0.327130i
\(156\) −3.11838e6 + 711750.i −0.821402 + 0.187480i
\(157\) 2.47300e6 + 1.97215e6i 0.639035 + 0.509614i 0.888563 0.458754i \(-0.151704\pi\)
−0.249528 + 0.968368i \(0.580275\pi\)
\(158\) −935414. 1.94241e6i −0.237155 0.492458i
\(159\) −4.52046e6 1.03176e6i −1.12458 0.256678i
\(160\) −1.82822e6 + 880426.i −0.446343 + 0.214948i
\(161\) 944775. 753433.i 0.226387 0.180537i
\(162\) 8.01194e6 1.82867e6i 1.88449 0.430122i
\(163\) −5.05076e6 + 4.02785e6i −1.16626 + 0.930059i −0.998444 0.0557598i \(-0.982242\pi\)
−0.167813 + 0.985819i \(0.553670\pi\)
\(164\) −133499. + 584897.i −0.0302654 + 0.132601i
\(165\) 5.68855e6 1.26634
\(166\) 8.95509e6i 1.95770i
\(167\) −1.33521e6 + 5.84993e6i −0.286682 + 1.25603i 0.602366 + 0.798220i \(0.294225\pi\)
−0.889048 + 0.457814i \(0.848632\pi\)
\(168\) −1.51037e6 1.20448e6i −0.318534 0.254022i
\(169\) 3.57332e6 + 1.72082e6i 0.740307 + 0.356513i
\(170\) 7.12014e6 3.42888e6i 1.44925 0.697920i
\(171\) 239382.i 0.0478744i
\(172\) 9.34546e6 + 34774.4i 1.83660 + 0.00683399i
\(173\) 1.04791e6 0.202389 0.101195 0.994867i \(-0.467734\pi\)
0.101195 + 0.994867i \(0.467734\pi\)
\(174\) −1.90371e6 3.95310e6i −0.361371 0.750395i
\(175\) 24223.6 50300.7i 0.00451985 0.00938556i
\(176\) 2.16883e6 2.71963e6i 0.397821 0.498852i
\(177\) −9.26867e6 2.11551e6i −1.67147 0.381501i
\(178\) −7.89598e6 −1.40006
\(179\) 3.14978e6i 0.549188i −0.961560 0.274594i \(-0.911457\pi\)
0.961560 0.274594i \(-0.0885434\pi\)
\(180\) 1.84376e6 + 420827.i 0.316146 + 0.0721583i
\(181\) −3.57307e6 4.48049e6i −0.602568 0.755597i 0.383207 0.923662i \(-0.374819\pi\)
−0.985776 + 0.168065i \(0.946248\pi\)
\(182\) −253945. 1.11260e6i −0.0421235 0.184555i
\(183\) −6.40108e6 8.02670e6i −1.04448 1.30974i
\(184\) 4.14322e6 + 8.60349e6i 0.665097 + 1.38109i
\(185\) −492076. + 2.15593e6i −0.0777172 + 0.340501i
\(186\) 1.59086e7 7.66117e6i 2.47225 1.19057i
\(187\) 4.72401e6 5.92372e6i 0.722414 0.905879i
\(188\) −3.71716e6 1.62860e7i −0.559420 2.45098i
\(189\) 356141. + 1.56035e6i 0.0527516 + 0.231120i
\(190\) 1.30588e6 2.71168e6i 0.190389 0.395346i
\(191\) −6.05516e6 4.82883e6i −0.869012 0.693014i 0.0838305 0.996480i \(-0.473285\pi\)
−0.952842 + 0.303466i \(0.901856\pi\)
\(192\) −8.34233e6 + 6.65279e6i −1.17865 + 0.939939i
\(193\) 7.84949e6 + 3.78011e6i 1.09187 + 0.525815i 0.891092 0.453823i \(-0.149940\pi\)
0.200774 + 0.979638i \(0.435654\pi\)
\(194\) 1.59540e6 3.31288e6i 0.218507 0.453734i
\(195\) 2.07888e6 + 2.60683e6i 0.280366 + 0.351567i
\(196\) −8.01133e6 + 1.00459e7i −1.06399 + 1.33420i
\(197\) −664655. 320081.i −0.0869356 0.0418660i 0.389911 0.920853i \(-0.372506\pi\)
−0.476846 + 0.878987i \(0.658220\pi\)
\(198\) 2.73017e6 623145.i 0.351718 0.0802774i
\(199\) −1.20780e7 + 2.75671e6i −1.53262 + 0.349810i −0.903873 0.427801i \(-0.859288\pi\)
−0.628745 + 0.777611i \(0.716431\pi\)
\(200\) 344927. + 275070.i 0.0431159 + 0.0343838i
\(201\) 7.21762e6 + 1.49875e7i 0.888803 + 1.84562i
\(202\) −1.50744e7 3.44062e6i −1.82888 0.417429i
\(203\) 913202. 439775.i 0.109164 0.0525705i
\(204\) 1.29029e7 1.02897e7i 1.51983 1.21203i
\(205\) 609708. 139162.i 0.0707718 0.0161532i
\(206\) −9.62208e6 + 7.67336e6i −1.10070 + 0.877776i
\(207\) −386753. + 1.69448e6i −0.0436036 + 0.191040i
\(208\) 2.03889e6 0.226571
\(209\) 2.88557e6i 0.316077i
\(210\) −983729. + 4.31000e6i −0.106223 + 0.465392i
\(211\) −1.13303e7 9.03563e6i −1.20613 0.961859i −0.206271 0.978495i \(-0.566133\pi\)
−0.999862 + 0.0166363i \(0.994704\pi\)
\(212\) 1.67414e7 + 8.06221e6i 1.75705 + 0.846149i
\(213\) 430356. 207249.i 0.0445338 0.0214463i
\(214\) 5.50478e6i 0.561693i
\(215\) −4.19418e6 8.79286e6i −0.422019 0.884738i
\(216\) −1.26474e7 −1.25499
\(217\) 1.76980e6 + 3.67503e6i 0.173199 + 0.359651i
\(218\) −932405. + 1.93616e6i −0.0899984 + 0.186884i
\(219\) −6.95374e6 + 8.71972e6i −0.662043 + 0.830176i
\(220\) −2.22252e7 5.07275e6i −2.08726 0.476404i
\(221\) 4.44099e6 0.411436
\(222\) 7.13244e6i 0.651898i
\(223\) −4.43956e6 1.01330e6i −0.400337 0.0913743i 0.0176119 0.999845i \(-0.494394\pi\)
−0.417949 + 0.908471i \(0.637251\pi\)
\(224\) −942659. 1.18206e6i −0.0838708 0.105171i
\(225\) 17868.3 + 78286.1i 0.00156868 + 0.00687285i
\(226\) 1.31739e7 + 1.65195e7i 1.14127 + 1.43110i
\(227\) 6.08985e6 + 1.26457e7i 0.520630 + 1.08110i 0.981114 + 0.193431i \(0.0619616\pi\)
−0.460484 + 0.887668i \(0.652324\pi\)
\(228\) 1.39860e6 6.12768e6i 0.118002 0.517001i
\(229\) 1.74624e7 8.40947e6i 1.45411 0.700265i 0.470810 0.882234i \(-0.343962\pi\)
0.983304 + 0.181970i \(0.0582473\pi\)
\(230\) 1.36248e7 1.70849e7i 1.11981 1.40420i
\(231\) 943144. + 4.13219e6i 0.0765142 + 0.335231i
\(232\) 1.78229e6 + 7.80871e6i 0.142729 + 0.625339i
\(233\) −8.76192e6 + 1.81943e7i −0.692678 + 1.43836i 0.196362 + 0.980531i \(0.437087\pi\)
−0.889040 + 0.457829i \(0.848627\pi\)
\(234\) 1.28330e6 + 1.02340e6i 0.100157 + 0.0798726i
\(235\) −1.36143e7 + 1.08571e7i −1.04904 + 0.836583i
\(236\) 3.43262e7 + 1.65306e7i 2.61150 + 1.25763i
\(237\) −2.03630e6 + 4.22841e6i −0.152966 + 0.317638i
\(238\) 3.67125e6 + 4.60361e6i 0.272322 + 0.341482i
\(239\) 4.67544e6 5.86282e6i 0.342475 0.429450i −0.580530 0.814239i \(-0.697154\pi\)
0.923004 + 0.384789i \(0.125726\pi\)
\(240\) −7.11608e6 3.42692e6i −0.514763 0.247897i
\(241\) 4.95638e6 1.13126e6i 0.354090 0.0808187i −0.0417760 0.999127i \(-0.513302\pi\)
0.395866 + 0.918308i \(0.370444\pi\)
\(242\) −9.63895e6 + 2.20003e6i −0.680117 + 0.155232i
\(243\) −3.99489e6 3.18581e6i −0.278410 0.222025i
\(244\) 1.78512e7 + 3.70685e7i 1.22885 + 2.55173i
\(245\) 1.30584e7 + 2.98049e6i 0.887956 + 0.202670i
\(246\) 1.81734e6 875185.i 0.122076 0.0587888i
\(247\) 1.32234e6 1.05453e6i 0.0877509 0.0699790i
\(248\) −3.14248e7 + 7.17252e6i −2.06024 + 0.470237i
\(249\) 1.52412e7 1.21545e7i 0.987239 0.787297i
\(250\) 5.96479e6 2.61334e7i 0.381746 1.67254i
\(251\) 1.13741e7 0.719279 0.359640 0.933091i \(-0.382900\pi\)
0.359640 + 0.933091i \(0.382900\pi\)
\(252\) 1.40909e6i 0.0880516i
\(253\) 4.66201e6 2.04256e7i 0.287880 1.26129i
\(254\) 1.97869e7 + 1.57796e7i 1.20747 + 0.962928i
\(255\) −1.54998e7 7.46430e6i −0.934771 0.450162i
\(256\) 2.56596e7 1.23570e7i 1.52943 0.736537i
\(257\) 9.40893e6i 0.554295i −0.960827 0.277147i \(-0.910611\pi\)
0.960827 0.277147i \(-0.0893890\pi\)
\(258\) −1.94993e7 2.46388e7i −1.13543 1.43470i
\(259\) −1.64766e6 −0.0948349
\(260\) −5.79754e6 1.20387e7i −0.329855 0.684952i
\(261\) −632525. + 1.31345e6i −0.0355759 + 0.0738742i
\(262\) −2.41701e7 + 3.03083e7i −1.34392 + 1.68522i
\(263\) −2.67662e7 6.10921e6i −1.47136 0.335829i −0.589666 0.807647i \(-0.700741\pi\)
−0.881696 + 0.471819i \(0.843598\pi\)
\(264\) −3.34932e7 −1.82031
\(265\) 1.93697e7i 1.04084i
\(266\) 2.18629e6 + 499006.i 0.116162 + 0.0265131i
\(267\) 1.07170e7 + 1.34387e7i 0.563039 + 0.706028i
\(268\) −1.48341e7 6.49926e7i −0.770651 3.37644i
\(269\) −4.36146e6 5.46910e6i −0.224065 0.280969i 0.657074 0.753826i \(-0.271794\pi\)
−0.881139 + 0.472857i \(0.843223\pi\)
\(270\) 1.25576e7 + 2.60762e7i 0.637994 + 1.32481i
\(271\) 3.00394e6 1.31611e7i 0.150933 0.661280i −0.841682 0.539973i \(-0.818434\pi\)
0.992615 0.121307i \(-0.0387085\pi\)
\(272\) −9.47810e6 + 4.56441e6i −0.470993 + 0.226818i
\(273\) −1.54894e6 + 1.94231e6i −0.0761284 + 0.0954620i
\(274\) 6.12863e6 + 2.68513e7i 0.297928 + 1.30531i
\(275\) −215388. 943678.i −0.0103568 0.0453760i
\(276\) 1.98001e7 4.11154e7i 0.941760 1.95559i
\(277\) −1.96105e7 1.56389e7i −0.922677 0.735811i 0.0420351 0.999116i \(-0.486616\pi\)
−0.964713 + 0.263305i \(0.915187\pi\)
\(278\) −2.43689e7 + 1.94335e7i −1.13423 + 0.904518i
\(279\) −5.28577e6 2.54549e6i −0.243386 0.117209i
\(280\) 3.50152e6 7.27098e6i 0.159508 0.331222i
\(281\) 1.23677e7 + 1.55085e7i 0.557402 + 0.698960i 0.978075 0.208253i \(-0.0667776\pi\)
−0.420673 + 0.907212i \(0.638206\pi\)
\(282\) −3.50178e7 + 4.39110e7i −1.56150 + 1.95806i
\(283\) −2.86222e7 1.37837e7i −1.26283 0.608146i −0.321907 0.946771i \(-0.604324\pi\)
−0.940921 + 0.338625i \(0.890038\pi\)
\(284\) −1.86622e6 + 425952.i −0.0814717 + 0.0185954i
\(285\) −6.38761e6 + 1.45793e6i −0.275933 + 0.0629799i
\(286\) −1.54692e7 1.23363e7i −0.661257 0.527335i
\(287\) 202176. + 419822.i 0.00855231 + 0.0177590i
\(288\) 2.12005e6 + 483887.i 0.0887499 + 0.0202566i
\(289\) 1.10262e6 530994.i 0.0456806 0.0219986i
\(290\) 1.43303e7 1.14280e7i 0.587571 0.468572i
\(291\) −7.80379e6 + 1.78116e6i −0.316684 + 0.0722812i
\(292\) 3.49441e7 2.78670e7i 1.40354 1.11929i
\(293\) −1.65931e6 + 7.26991e6i −0.0659667 + 0.289019i −0.997142 0.0755534i \(-0.975928\pi\)
0.931175 + 0.364572i \(0.118785\pi\)
\(294\) 4.32010e7 1.70001
\(295\) 3.97153e7i 1.54701i
\(296\) 2.89726e6 1.26937e7i 0.111715 0.489457i
\(297\) 2.16946e7 + 1.73008e7i 0.828097 + 0.660386i
\(298\) 6.19742e7 + 2.98452e7i 2.34187 + 1.12778i
\(299\) 1.10639e7 5.32812e6i 0.413901 0.199324i
\(300\) 2.10835e6i 0.0780872i
\(301\) 5.69179e6 4.50451e6i 0.208713 0.165176i
\(302\) −4.45540e7 −1.61758
\(303\) 1.46042e7 + 3.03258e7i 0.524987 + 1.09015i
\(304\) −1.73834e6 + 3.60970e6i −0.0618748 + 0.128484i
\(305\) 2.67403e7 3.35313e7i 0.942469 1.18182i
\(306\) −8.25667e6 1.88453e6i −0.288165 0.0657717i
\(307\) 1.48420e7 0.512953 0.256477 0.966550i \(-0.417438\pi\)
0.256477 + 0.966550i \(0.417438\pi\)
\(308\) 1.69855e7i 0.581335i
\(309\) 2.61195e7 + 5.96161e6i 0.885299 + 0.202064i
\(310\) 4.59901e7 + 5.76698e7i 1.54376 + 1.93581i
\(311\) 3.78836e6 + 1.65979e7i 0.125942 + 0.551788i 0.998047 + 0.0624688i \(0.0198974\pi\)
−0.872105 + 0.489319i \(0.837245\pi\)
\(312\) −1.22401e7 1.53486e7i −0.403014 0.505364i
\(313\) 1.43469e6 + 2.97917e6i 0.0467870 + 0.0971543i 0.923052 0.384675i \(-0.125687\pi\)
−0.876265 + 0.481830i \(0.839972\pi\)
\(314\) −9.48357e6 + 4.15502e7i −0.306325 + 1.34210i
\(315\) 1.32340e6 637316.i 0.0423408 0.0203903i
\(316\) 1.17265e7 1.47046e7i 0.371627 0.466005i
\(317\) 3.97264e6 + 1.74053e7i 0.124710 + 0.546391i 0.998223 + 0.0595896i \(0.0189792\pi\)
−0.873513 + 0.486801i \(0.838164\pi\)
\(318\) −1.39018e7 6.09078e7i −0.432304 1.89405i
\(319\) 7.62461e6 1.58327e7i 0.234880 0.487733i
\(320\) −3.48498e7 2.77918e7i −1.06353 0.848139i
\(321\) −9.36894e6 + 7.47148e6i −0.283253 + 0.225887i
\(322\) 1.46695e7 + 7.06446e6i 0.439388 + 0.211598i
\(323\) −3.78634e6 + 7.86241e6i −0.112360 + 0.233318i
\(324\) 4.46995e7 + 5.60514e7i 1.31422 + 1.64798i
\(325\) 353736. 443570.i 0.0103045 0.0129215i
\(326\) −7.84231e7 3.77666e7i −2.26356 1.09007i
\(327\) 4.56080e6 1.04097e6i 0.130436 0.0297712i
\(328\) −3.58986e6 + 819362.i −0.101732 + 0.0232196i
\(329\) −1.01438e7 8.08944e6i −0.284849 0.227159i
\(330\) 3.32556e7 + 6.90560e7i 0.925386 + 1.92158i
\(331\) 2.21221e7 + 5.04922e6i 0.610017 + 0.139232i 0.516359 0.856372i \(-0.327287\pi\)
0.0936577 + 0.995604i \(0.470144\pi\)
\(332\) −7.03863e7 + 3.38962e7i −1.92342 + 0.926269i
\(333\) 1.85280e6 1.47756e6i 0.0501759 0.0400140i
\(334\) −7.88209e7 + 1.79903e7i −2.11544 + 0.482836i
\(335\) −5.43309e7 + 4.33274e7i −1.44515 + 1.15247i
\(336\) 1.30951e6 5.73733e6i 0.0345215 0.151249i
\(337\) −6.35278e7 −1.65987 −0.829935 0.557861i \(-0.811622\pi\)
−0.829935 + 0.557861i \(0.811622\pi\)
\(338\) 5.34383e7i 1.38389i
\(339\) 1.02351e7 4.48428e7i 0.262719 1.15105i
\(340\) 5.39014e7 + 4.29849e7i 1.37140 + 1.09365i
\(341\) 6.37159e7 + 3.06840e7i 1.60688 + 0.773835i
\(342\) −2.90598e6 + 1.39944e6i −0.0726464 + 0.0349846i
\(343\) 2.07206e7i 0.513476i
\(344\) 2.46947e7 + 5.17709e7i 0.606636 + 1.27178i
\(345\) −4.75704e7 −1.15846
\(346\) 6.12617e6 + 1.27211e7i 0.147898 + 0.307112i
\(347\) 4.70272e6 9.76530e6i 0.112554 0.233721i −0.837081 0.547079i \(-0.815740\pi\)
0.949635 + 0.313358i \(0.101454\pi\)
\(348\) 2.38652e7 2.99260e7i 0.566275 0.710087i
\(349\) −6.58575e7 1.50315e7i −1.54928 0.353612i −0.639526 0.768769i \(-0.720869\pi\)
−0.909750 + 0.415157i \(0.863727\pi\)
\(350\) 752237. 0.0175449
\(351\) 1.62643e7i 0.376109i
\(352\) −2.55555e7 5.83288e6i −0.585945 0.133738i
\(353\) 3.77293e7 + 4.73110e7i 0.857737 + 1.07557i 0.996362 + 0.0852234i \(0.0271604\pi\)
−0.138625 + 0.990345i \(0.544268\pi\)
\(354\) −2.85040e7 1.24884e8i −0.642534 2.81513i
\(355\) 1.24412e6 + 1.56007e6i 0.0278084 + 0.0348706i
\(356\) −2.98873e7 6.20617e7i −0.662426 1.37554i
\(357\) 2.85228e6 1.24967e7i 0.0626885 0.274656i
\(358\) 3.82367e7 1.84138e7i 0.833357 0.401323i
\(359\) −4.43468e7 + 5.56092e7i −0.958471 + 1.20189i 0.0208929 + 0.999782i \(0.493349\pi\)
−0.979364 + 0.202103i \(0.935222\pi\)
\(360\) 2.58287e6 + 1.13163e7i 0.0553598 + 0.242547i
\(361\) −9.72914e6 4.26262e7i −0.206801 0.906055i
\(362\) 3.35024e7 6.95685e7i 0.706237 1.46652i
\(363\) 1.68270e7 + 1.34191e7i 0.351793 + 0.280546i
\(364\) 7.78376e6 6.20734e6i 0.161393 0.128707i
\(365\) −4.19771e7 2.02151e7i −0.863245 0.415717i
\(366\) 6.00188e7 1.24630e8i 1.22418 2.54203i
\(367\) −5.97261e7 7.48941e7i −1.20827 1.51513i −0.797417 0.603429i \(-0.793801\pi\)
−0.410858 0.911699i \(-0.634771\pi\)
\(368\) −1.81368e7 + 2.27429e7i −0.363930 + 0.456354i
\(369\) −603827. 290788.i −0.0120180 0.00578758i
\(370\) −2.90485e7 + 6.63014e6i −0.573481 + 0.130893i
\(371\) 1.40702e7 3.21144e6i 0.275537 0.0628895i
\(372\) 1.20432e8 + 9.60416e7i 2.33945 + 1.86565i
\(373\) −5.14814e6 1.06902e7i −0.0992028 0.205997i 0.845461 0.534038i \(-0.179326\pi\)
−0.944664 + 0.328041i \(0.893612\pi\)
\(374\) 9.95278e7 + 2.27166e7i 1.90252 + 0.434238i
\(375\) −5.25740e7 + 2.53183e7i −0.996958 + 0.480110i
\(376\) 8.01589e7 6.39246e7i 1.50796 1.20255i
\(377\) 1.00419e7 2.29199e6i 0.187409 0.0427749i
\(378\) −1.68599e7 + 1.34453e7i −0.312161 + 0.248940i
\(379\) −1.37047e7 + 6.00444e7i −0.251741 + 1.10295i 0.678096 + 0.734974i \(0.262805\pi\)
−0.929836 + 0.367974i \(0.880052\pi\)
\(380\) 2.62565e7 0.478504
\(381\) 5.50938e7i 0.996157i
\(382\) 2.32206e7 1.01736e8i 0.416566 1.82509i
\(383\) 7.14626e7 + 5.69895e7i 1.27199 + 1.01438i 0.998623 + 0.0524652i \(0.0167079\pi\)
0.273364 + 0.961911i \(0.411864\pi\)
\(384\) −1.01522e8 4.88905e7i −1.79295 0.863438i
\(385\) −1.59526e7 + 7.68235e6i −0.279543 + 0.134621i
\(386\) 1.17387e8i 2.04108i
\(387\) −2.36097e6 + 1.01695e7i −0.0407340 + 0.175456i
\(388\) 3.20778e7 0.549173
\(389\) 1.67268e7 + 3.47336e7i 0.284161 + 0.590067i 0.993374 0.114928i \(-0.0366637\pi\)
−0.709213 + 0.704995i \(0.750949\pi\)
\(390\) −1.94923e7 + 4.04761e7i −0.328601 + 0.682347i
\(391\) −3.95045e7 + 4.95370e7i −0.660870 + 0.828705i
\(392\) −7.68857e7 1.75487e7i −1.27640 0.291330i
\(393\) 8.43889e7 1.39030
\(394\) 9.93978e6i 0.162513i
\(395\) −1.91141e7 4.36266e6i −0.310143 0.0707881i
\(396\) 1.52319e7 + 1.91003e7i 0.245284 + 0.307577i
\(397\) 2.43527e7 + 1.06696e8i 0.389202 + 1.70521i 0.667415 + 0.744686i \(0.267401\pi\)
−0.278213 + 0.960519i \(0.589742\pi\)
\(398\) −1.04074e8 1.30504e8i −1.65079 2.07002i
\(399\) −2.11809e6 4.39827e6i −0.0333447 0.0692409i
\(400\) −299056. + 1.31025e6i −0.00467275 + 0.0204726i
\(401\) 3.10618e6 1.49586e6i 0.0481718 0.0231983i −0.409643 0.912246i \(-0.634347\pi\)
0.457815 + 0.889048i \(0.348632\pi\)
\(402\) −1.39746e8 + 1.75236e8i −2.15111 + 2.69740i
\(403\) 9.22373e6 + 4.04118e7i 0.140926 + 0.617438i
\(404\) −3.00155e7 1.31506e8i −0.455199 1.99436i
\(405\) 3.24257e7 6.73326e7i 0.488117 1.01359i
\(406\) 1.06773e7 + 8.51484e6i 0.159545 + 0.127233i
\(407\) −2.23341e7 + 1.78108e7i −0.331272 + 0.264180i
\(408\) 9.12602e7 + 4.39486e7i 1.34370 + 0.647090i
\(409\) 4.66334e7 9.68352e7i 0.681596 1.41535i −0.216824 0.976211i \(-0.569570\pi\)
0.898420 0.439138i \(-0.144716\pi\)
\(410\) 5.25375e6 + 6.58799e6i 0.0762285 + 0.0955875i
\(411\) 3.73817e7 4.68752e7i 0.538436 0.675177i
\(412\) −9.67328e7 4.65841e7i −1.38319 0.666110i
\(413\) 2.88494e7 6.58469e6i 0.409531 0.0934727i
\(414\) −2.28310e7 + 5.21104e6i −0.321755 + 0.0734384i
\(415\) 6.36698e7 + 5.07750e7i 0.890819 + 0.710404i
\(416\) −6.66628e6 1.38427e7i −0.0925984 0.192283i
\(417\) 6.61503e7 + 1.50984e7i 0.912270 + 0.208220i
\(418\) 3.50293e7 1.68692e7i 0.479626 0.230976i
\(419\) 6.36101e7 5.07274e7i 0.864738 0.689605i −0.0871028 0.996199i \(-0.527761\pi\)
0.951840 + 0.306594i \(0.0991894\pi\)
\(420\) −3.75998e7 + 8.58190e6i −0.507501 + 0.115834i
\(421\) 8.28532e6 6.60732e6i 0.111036 0.0885481i −0.566398 0.824132i \(-0.691663\pi\)
0.677434 + 0.735584i \(0.263092\pi\)
\(422\) 4.34501e7 1.90367e8i 0.578167 2.53311i
\(423\) 1.86611e7 0.246556
\(424\) 1.14046e8i 1.49617i
\(425\) −651384. + 2.85390e6i −0.00848536 + 0.0371768i
\(426\) 5.03178e6 + 4.01271e6i 0.0650868 + 0.0519050i
\(427\) 2.87908e7 + 1.38649e7i 0.369802 + 0.178087i
\(428\) 4.32671e7 2.08363e7i 0.551857 0.265760i
\(429\) 4.30717e7i 0.545532i
\(430\) 8.22213e7 1.02319e8i 1.03414 1.28692i
\(431\) −2.95958e7 −0.369657 −0.184828 0.982771i \(-0.559173\pi\)
−0.184828 + 0.982771i \(0.559173\pi\)
\(432\) −1.67163e7 3.47118e7i −0.207343 0.430552i
\(433\) 5.45592e6 1.13293e7i 0.0672054 0.139553i −0.864660 0.502357i \(-0.832466\pi\)
0.931866 + 0.362804i \(0.118181\pi\)
\(434\) −3.42666e7 + 4.29689e7i −0.419181 + 0.525636i
\(435\) −3.89001e7 8.87869e6i −0.472588 0.107865i
\(436\) −1.87473e7 −0.226193
\(437\) 2.41305e7i 0.289150i
\(438\) −1.46505e8 3.34388e7i −1.74353 0.397950i
\(439\) −4.83471e6 6.06254e6i −0.0571449 0.0716574i 0.752438 0.658663i \(-0.228878\pi\)
−0.809583 + 0.587006i \(0.800306\pi\)
\(440\) −3.11345e7 1.36409e8i −0.365496 1.60134i
\(441\) −8.94953e6 1.12224e7i −0.104348 0.130848i
\(442\) 2.59623e7 + 5.39113e7i 0.300660 + 0.624328i
\(443\) −2.10208e7 + 9.20983e7i −0.241790 + 1.05935i 0.697596 + 0.716491i \(0.254253\pi\)
−0.939386 + 0.342861i \(0.888604\pi\)
\(444\) −5.60604e7 + 2.69973e7i −0.640482 + 0.308440i
\(445\) −4.47698e7 + 5.61396e7i −0.508049 + 0.637073i
\(446\) −1.36530e7 5.98178e7i −0.153895 0.674257i
\(447\) −3.33203e7 1.45986e8i −0.373067 1.63451i
\(448\) 1.44101e7 2.99229e7i 0.160263 0.332789i
\(449\) 2.22506e7 + 1.77443e7i 0.245812 + 0.196028i 0.738643 0.674096i \(-0.235467\pi\)
−0.492832 + 0.870125i \(0.664038\pi\)
\(450\) −845893. + 674577.i −0.00928278 + 0.00740277i
\(451\) 7.27867e6 + 3.50522e6i 0.0793456 + 0.0382108i
\(452\) −7.99770e7 + 1.66074e8i −0.866063 + 1.79840i
\(453\) 6.04718e7 + 7.58292e7i 0.650516 + 0.815722i
\(454\) −1.17911e8 + 1.47855e8i −1.26004 + 1.58004i
\(455\) −9.35036e6 4.50290e6i −0.0992645 0.0478033i
\(456\) 3.76092e7 8.58405e6i 0.396643 0.0905311i
\(457\) 3.93489e7 8.98112e6i 0.412272 0.0940984i −0.0113542 0.999936i \(-0.503614\pi\)
0.423626 + 0.905837i \(0.360757\pi\)
\(458\) 2.04173e8 + 1.62823e8i 2.12521 + 1.69480i
\(459\) −3.64104e7 7.56070e7i −0.376519 0.781851i
\(460\) 1.85858e8 + 4.24208e7i 1.90944 + 0.435818i
\(461\) 5.67706e6 2.73393e6i 0.0579456 0.0279052i −0.404687 0.914455i \(-0.632619\pi\)
0.462632 + 0.886550i \(0.346905\pi\)
\(462\) −4.46489e7 + 3.56063e7i −0.452777 + 0.361078i
\(463\) −2.86660e6 + 654282.i −0.0288817 + 0.00659207i −0.236937 0.971525i \(-0.576144\pi\)
0.208056 + 0.978117i \(0.433286\pi\)
\(464\) −1.90760e7 + 1.52126e7i −0.190956 + 0.152282i
\(465\) 3.57308e7 1.56547e8i 0.355373 1.55699i
\(466\) −2.72092e8 −2.68880
\(467\) 4.85884e6i 0.0477070i −0.999715 0.0238535i \(-0.992406\pi\)
0.999715 0.0238535i \(-0.00759352\pi\)
\(468\) −3.18636e6 + 1.39604e7i −0.0310854 + 0.136194i
\(469\) −4.04812e7 3.22826e7i −0.392405 0.312932i
\(470\) −2.11389e8 1.01800e8i −2.03606 0.980513i
\(471\) 8.35887e7 4.02542e7i 0.799991 0.385255i
\(472\) 2.33837e8i 2.22376i
\(473\) 2.84597e7 1.22586e8i 0.268934 1.15839i
\(474\) −6.32350e7 −0.593776
\(475\) 483715. + 1.00444e6i 0.00451345 + 0.00937227i
\(476\) −2.22878e7 + 4.62810e7i −0.206655 + 0.429123i
\(477\) −1.29421e7 + 1.62289e7i −0.119248 + 0.149532i
\(478\) 9.85044e7 + 2.24830e7i 0.901929 + 0.205859i
\(479\) −1.60904e8 −1.46406 −0.732032 0.681270i \(-0.761428\pi\)
−0.732032 + 0.681270i \(0.761428\pi\)
\(480\) 5.95178e7i 0.538174i
\(481\) −1.63239e7 3.72583e6i −0.146686 0.0334802i
\(482\) 4.27083e7 + 5.35545e7i 0.381391 + 0.478250i
\(483\) −7.88703e6 3.45553e7i −0.0699958 0.306672i
\(484\) −5.37768e7 6.74339e7i −0.474306 0.594761i
\(485\) −1.45084e7 3.01270e7i −0.127173 0.264077i
\(486\) 1.53198e7 6.71203e7i 0.133458 0.584716i
\(487\) 7.89004e7 3.79964e7i 0.683112 0.328970i −0.0599409 0.998202i \(-0.519091\pi\)
0.743053 + 0.669232i \(0.233377\pi\)
\(488\) −1.57443e8 + 1.97427e8i −1.35476 + 1.69882i
\(489\) 4.21640e7 + 1.84733e8i 0.360591 + 1.57985i
\(490\) 4.01586e7 + 1.75946e8i 0.341342 + 1.49552i
\(491\) 2.62694e7 5.45490e7i 0.221925 0.460832i −0.760045 0.649871i \(-0.774823\pi\)
0.981970 + 0.189039i \(0.0605373\pi\)
\(492\) 1.37578e7 + 1.09714e7i 0.115519 + 0.0921231i
\(493\) −4.15501e7 + 3.31351e7i −0.346762 + 0.276533i
\(494\) 2.05319e7 + 9.88765e6i 0.170313 + 0.0820186i
\(495\) 1.10495e7 2.29445e7i 0.0911016 0.189174i
\(496\) −6.12205e7 7.67681e7i −0.501709 0.629123i
\(497\) −926973. + 1.16239e6i −0.00755089 + 0.00946851i
\(498\) 2.36650e8 + 1.13965e8i 1.91610 + 0.922747i
\(499\) 2.25847e8 5.15481e7i 1.81766 0.414869i 0.828292 0.560297i \(-0.189313\pi\)
0.989369 + 0.145428i \(0.0464559\pi\)
\(500\) 2.27984e8 5.20359e7i 1.82387 0.416287i
\(501\) 1.37600e8 + 1.09732e8i 1.09422 + 0.872613i
\(502\) 6.64940e7 + 1.38076e8i 0.525619 + 1.09146i
\(503\) −8.92562e7 2.03722e7i −0.701350 0.160078i −0.143047 0.989716i \(-0.545690\pi\)
−0.558303 + 0.829637i \(0.688547\pi\)
\(504\) −7.79196e6 + 3.75241e6i −0.0608632 + 0.0293102i
\(505\) −1.09933e8 + 8.76689e7i −0.853602 + 0.680725i
\(506\) 2.75211e8 6.28150e7i 2.12429 0.484855i
\(507\) 9.09500e7 7.25302e7i 0.697877 0.556538i
\(508\) −4.91297e7 + 2.15251e8i −0.374760 + 1.64193i
\(509\) −1.20055e8 −0.910388 −0.455194 0.890392i \(-0.650430\pi\)
−0.455194 + 0.890392i \(0.650430\pi\)
\(510\) 2.31796e8i 1.74741i
\(511\) 7.72466e6 3.38440e7i 0.0578918 0.253640i
\(512\) 1.07788e8 + 8.59577e7i 0.803080 + 0.640435i
\(513\) −2.87946e7 1.38668e7i −0.213285 0.102712i
\(514\) 1.14219e8 5.50052e7i 0.841106 0.405055i
\(515\) 1.11920e8i 0.819379i
\(516\) 1.19852e8 2.46524e8i 0.872358 1.79436i
\(517\) −2.24945e8 −1.62781
\(518\) −9.63232e6 2.00017e7i −0.0693014 0.143906i
\(519\) 1.33360e7 2.76925e7i 0.0953947 0.198089i
\(520\) 5.11326e7 6.41182e7i 0.363653 0.456007i
\(521\) −8.11069e7 1.85121e7i −0.573515 0.130901i −0.0740798 0.997252i \(-0.523602\pi\)
−0.499435 + 0.866351i \(0.666459\pi\)
\(522\) −1.96424e7 −0.138097
\(523\) 1.22493e8i 0.856258i 0.903718 + 0.428129i \(0.140827\pi\)
−0.903718 + 0.428129i \(0.859173\pi\)
\(524\) −3.29707e8 7.52536e7i −2.29158 0.523038i
\(525\) −1.02099e6 1.28028e6i −0.00705575 0.00884763i
\(526\) −8.23143e7 3.60642e8i −0.565611 2.47810i
\(527\) −1.33347e8 1.67211e8i −0.911066 1.14244i
\(528\) −4.42688e7 9.19250e7i −0.300743 0.624499i
\(529\) −6.04490e6 + 2.64844e7i −0.0408340 + 0.178905i
\(530\) 2.35138e8 1.13237e8i 1.57941 0.760605i
\(531\) −2.65363e7 + 3.32755e7i −0.177238 + 0.222250i
\(532\) 4.35325e6 + 1.90728e7i 0.0289120 + 0.126672i
\(533\) 1.05369e6 + 4.61650e6i 0.00695872 + 0.0304882i
\(534\) −1.00486e8 + 2.08662e8i −0.659907 + 1.37031i
\(535\) −3.91384e7 3.12119e7i −0.255589 0.203825i
\(536\) 3.19891e8 2.55105e8i 2.07734 1.65663i
\(537\) −8.32371e7 4.00849e7i −0.537519 0.258856i
\(538\) 4.08946e7 8.49185e7i 0.262615 0.545325i
\(539\) 1.07880e8 + 1.35277e8i 0.688927 + 0.863887i
\(540\) −1.57424e8 + 1.97404e8i −0.999749 + 1.25365i
\(541\) 1.49238e7 + 7.18693e6i 0.0942514 + 0.0453891i 0.480416 0.877041i \(-0.340486\pi\)
−0.386164 + 0.922430i \(0.626200\pi\)
\(542\) 1.77331e8 4.04746e7i 1.11375 0.254205i
\(543\) −1.63875e8 + 3.74034e7i −1.02356 + 0.233621i
\(544\) 6.19784e7 + 4.94261e7i 0.384985 + 0.307015i
\(545\) 8.47920e6 + 1.76072e7i 0.0523800 + 0.108768i
\(546\) −3.26338e7 7.44846e6i −0.200489 0.0457603i
\(547\) −1.65741e8 + 7.98166e7i −1.01267 + 0.487676i −0.865219 0.501393i \(-0.832821\pi\)
−0.147450 + 0.989069i \(0.547107\pi\)
\(548\) −1.87851e8 + 1.49806e8i −1.14149 + 0.910308i
\(549\) −4.48088e7 + 1.02273e7i −0.270799 + 0.0618080i
\(550\) 1.01966e7 8.13151e6i 0.0612868 0.0488746i
\(551\) −4.50380e6 + 1.97324e7i −0.0269231 + 0.117958i
\(552\) 2.80087e8 1.66523
\(553\) 1.46079e7i 0.0863797i
\(554\) 7.52033e7 3.29487e8i 0.442291 1.93780i
\(555\) 5.07110e7 + 4.04406e7i 0.296635 + 0.236559i
\(556\) −2.44985e8 1.17979e8i −1.42533 0.686403i
\(557\) −1.60663e8 + 7.73710e7i −0.929713 + 0.447726i −0.836529 0.547923i \(-0.815419\pi\)
−0.0931842 + 0.995649i \(0.529705\pi\)
\(558\) 7.90476e7i 0.454974i
\(559\) 6.65765e7 3.17569e7i 0.381141 0.181804i
\(560\) 2.45839e7 0.139987
\(561\) −9.64234e7 2.00225e8i −0.546127 1.13404i
\(562\) −1.15964e8 + 2.40801e8i −0.653300 + 1.35659i
\(563\) −6.92783e7 + 8.68722e7i −0.388215 + 0.486806i −0.937085 0.349102i \(-0.886487\pi\)
0.548870 + 0.835908i \(0.315058\pi\)
\(564\) −4.77684e8 1.09028e8i −2.66258 0.607717i
\(565\) 1.92147e8 1.06534
\(566\) 4.28040e8i 2.36067i
\(567\) 5.42868e7 + 1.23906e7i 0.297814 + 0.0679741i
\(568\) −7.32515e6 9.18545e6i −0.0399735 0.0501251i
\(569\) 5.45564e7 + 2.39027e8i 0.296148 + 1.29751i 0.875811 + 0.482653i \(0.160327\pi\)
−0.579663 + 0.814856i \(0.696816\pi\)
\(570\) −5.50409e7 6.90191e7i −0.297208 0.372687i
\(571\) −1.41760e8 2.94368e8i −0.761458 1.58118i −0.812827 0.582505i \(-0.802073\pi\)
0.0513692 0.998680i \(-0.483641\pi\)
\(572\) 3.84091e7 1.68281e8i 0.205232 0.899182i
\(573\) −2.04668e8 + 9.85628e7i −1.08789 + 0.523901i
\(574\) −3.91449e6 + 4.90861e6i −0.0206985 + 0.0259551i
\(575\) 1.80118e6 + 7.89149e6i 0.00947445 + 0.0415103i
\(576\) 1.06295e7 + 4.65708e7i 0.0556217 + 0.243695i
\(577\) 7.70369e7 1.59969e8i 0.401025 0.832737i −0.598476 0.801141i \(-0.704227\pi\)
0.999501 0.0315959i \(-0.0100590\pi\)
\(578\) 1.28920e7 + 1.02810e7i 0.0667630 + 0.0532417i
\(579\) 1.99789e8 1.59326e8i 1.02929 0.820828i
\(580\) 1.44065e8 + 6.93781e7i 0.738372 + 0.355581i
\(581\) −2.63269e7 + 5.46684e7i −0.134237 + 0.278746i
\(582\) −6.72439e7 8.43212e7i −0.341102 0.427728i
\(583\) 1.56008e8 1.95627e8i 0.787299 0.987242i
\(584\) 2.47154e8 + 1.19023e8i 1.24088 + 0.597576i
\(585\) 1.45525e7 3.32152e6i 0.0726894 0.0165909i
\(586\) −9.79533e7 + 2.23572e7i −0.486773 + 0.111103i
\(587\) −2.32790e8 1.85644e8i −1.15093 0.917838i −0.153409 0.988163i \(-0.549025\pi\)
−0.997524 + 0.0703247i \(0.977596\pi\)
\(588\) 1.63522e8 + 3.39556e8i 0.804347 + 1.67024i
\(589\) −7.94099e7 1.81248e7i −0.388623 0.0887008i
\(590\) 4.82123e8 2.32178e8i 2.34748 1.13049i
\(591\) −1.69171e7 + 1.34910e7i −0.0819530 + 0.0653553i
\(592\) 3.86684e7 8.82582e6i 0.186377 0.0425393i
\(593\) −7.11276e7 + 5.67224e7i −0.341094 + 0.272013i −0.779022 0.626997i \(-0.784284\pi\)
0.437928 + 0.899010i \(0.355713\pi\)
\(594\) −8.31953e7 + 3.64502e8i −0.396953 + 1.73917i
\(595\) 5.35470e7 0.254205
\(596\) 6.00080e8i 2.83446i
\(597\) −8.08572e7 + 3.54259e8i −0.380011 + 1.66494i
\(598\) 1.29361e8 + 1.03162e8i 0.604923 + 0.482410i
\(599\) 3.09022e8 + 1.48817e8i 1.43784 + 0.692425i 0.980436 0.196836i \(-0.0630668\pi\)
0.457399 + 0.889261i \(0.348781\pi\)
\(600\) 1.16587e7 5.61455e6i 0.0539756 0.0259933i
\(601\) 1.39582e8i 0.642994i −0.946911 0.321497i \(-0.895814\pi\)
0.946911 0.321497i \(-0.104186\pi\)
\(602\) 8.79569e7 + 4.27617e7i 0.403163 + 0.196004i
\(603\) 7.44710e7 0.339653
\(604\) −1.68643e8 3.50191e8i −0.765345 1.58925i
\(605\) −3.90104e7 + 8.10060e7i −0.176163 + 0.365806i
\(606\) −2.82763e8 + 3.54574e8i −1.27059 + 1.59327i
\(607\) 5.52454e7 + 1.26094e7i 0.247019 + 0.0563804i 0.344237 0.938883i \(-0.388137\pi\)
−0.0972187 + 0.995263i \(0.530995\pi\)
\(608\) 3.01910e7 0.134328
\(609\) 2.97293e7i 0.131623i
\(610\) 5.63378e8 + 1.28587e8i 2.48205 + 0.566512i
\(611\) −8.22060e7 1.03083e8i −0.360396 0.451922i
\(612\) −1.64404e7 7.20299e7i −0.0717228 0.314238i
\(613\) −1.32953e8 1.66718e8i −0.577189 0.723773i 0.404441 0.914564i \(-0.367466\pi\)
−0.981631 + 0.190791i \(0.938895\pi\)
\(614\) 8.67674e7 + 1.80174e8i 0.374845 + 0.778373i
\(615\) 4.08176e6 1.78834e7i 0.0175478 0.0768819i
\(616\) 9.39261e7 4.52324e7i 0.401832 0.193512i
\(617\) 1.75456e8 2.20015e8i 0.746988 0.936693i −0.252535 0.967588i \(-0.581264\pi\)
0.999523 + 0.0308946i \(0.00983561\pi\)
\(618\) 8.03256e7 + 3.51929e8i 0.340321 + 1.49104i
\(619\) 7.94610e7 + 3.48142e8i 0.335029 + 1.46786i 0.809257 + 0.587455i \(0.199870\pi\)
−0.474228 + 0.880402i \(0.657273\pi\)
\(620\) −2.79201e8 + 5.79766e8i −1.17150 + 2.43264i
\(621\) −1.81420e8 1.44678e8i −0.757550 0.604126i
\(622\) −1.79343e8 + 1.43021e8i −0.745269 + 0.594332i
\(623\) −4.82028e7 2.32132e7i −0.199346 0.0960000i
\(624\) 2.59475e7 5.38805e7i 0.106793 0.221757i
\(625\) −1.46028e8 1.83114e8i −0.598133 0.750035i
\(626\) −2.77782e7 + 3.48328e7i −0.113235 + 0.141993i
\(627\) −7.62550e7 3.67225e7i −0.309361 0.148981i
\(628\) −3.62478e8 + 8.27332e7i −1.46353 + 0.334042i
\(629\) 8.42251e7 1.92238e7i 0.338446 0.0772481i
\(630\) 1.54734e7 + 1.23396e7i 0.0618818 + 0.0493491i
\(631\) −1.98662e7 4.12525e7i −0.0790726 0.164196i 0.857684 0.514177i \(-0.171902\pi\)
−0.936757 + 0.349981i \(0.886188\pi\)
\(632\) 1.12541e8 + 2.56867e7i 0.445818 + 0.101755i
\(633\) −3.82971e8 + 1.84429e8i −1.50992 + 0.727141i
\(634\) −1.88067e8 + 1.49978e8i −0.737979 + 0.588519i
\(635\) 2.24382e8 5.12138e7i 0.876329 0.200016i
\(636\) 4.26110e8 3.39811e8i 1.65634 1.32089i
\(637\) −2.25673e7 + 9.88737e7i −0.0873093 + 0.382527i
\(638\) 2.36774e8 0.911743
\(639\) 2.13838e6i 0.00819564i
\(640\) 1.04746e8 4.58920e8i 0.399573 1.75064i
\(641\) 1.49369e8 + 1.19118e8i 0.567135 + 0.452275i 0.864602 0.502457i \(-0.167571\pi\)
−0.297467 + 0.954732i \(0.596142\pi\)
\(642\) −1.45471e8 7.00553e7i −0.549759 0.264750i
\(643\) 1.61426e8 7.77386e7i 0.607212 0.292418i −0.104901 0.994483i \(-0.533453\pi\)
0.712113 + 0.702065i \(0.247738\pi\)
\(644\) 1.42041e8i 0.531809i
\(645\) −2.85739e8 1.06323e6i −1.06486 0.00396232i
\(646\) −1.17581e8 −0.436153
\(647\) 1.17699e8 + 2.44404e8i 0.434569 + 0.902391i 0.997135 + 0.0756390i \(0.0240996\pi\)
−0.562567 + 0.826752i \(0.690186\pi\)
\(648\) −1.90917e8 + 3.96443e8i −0.701649 + 1.45699i
\(649\) 3.19875e8 4.01111e8i 1.17016 1.46734i
\(650\) 7.45267e6 + 1.70102e6i 0.0271376 + 0.00619399i
\(651\) 1.19640e8 0.433646
\(652\) 7.59350e8i 2.73968i
\(653\) 2.51749e8 + 5.74601e7i 0.904125 + 0.206361i 0.649216 0.760604i \(-0.275097\pi\)
0.254909 + 0.966965i \(0.417954\pi\)
\(654\) 3.92996e7 + 4.92801e7i 0.140493 + 0.176173i
\(655\) 7.84458e7 + 3.43693e8i 0.279155 + 1.22306i
\(656\) −6.99361e6 8.76971e6i −0.0247737 0.0310652i
\(657\) 2.16636e7 + 4.49848e7i 0.0763895 + 0.158624i
\(658\) 3.89001e7 1.70432e8i 0.136544 0.598238i
\(659\) 1.74381e8 8.39772e7i 0.609315 0.293431i −0.103668 0.994612i \(-0.533058\pi\)
0.712983 + 0.701181i \(0.247344\pi\)
\(660\) −4.16897e8 + 5.22773e8i −1.45010 + 1.81836i
\(661\) −4.29785e7 1.88301e8i −0.148815 0.652001i −0.993215 0.116288i \(-0.962900\pi\)
0.844401 0.535712i \(-0.179957\pi\)
\(662\) 6.80322e7 + 2.98069e8i 0.234499 + 1.02741i
\(663\) 5.65171e7 1.17359e8i 0.193928 0.402695i
\(664\) −3.74877e8 2.98955e8i −1.28052 1.02118i
\(665\) 1.59440e7 1.27149e7i 0.0542167 0.0432364i
\(666\) 2.87684e7 + 1.38541e7i 0.0973851 + 0.0468982i
\(667\) −6.37606e7 + 1.32400e8i −0.214870 + 0.446182i
\(668\) −4.39750e8 5.51429e8i −1.47529 1.84995i
\(669\) −8.32768e7 + 1.04426e8i −0.278129 + 0.348762i
\(670\) −8.43594e8 4.06254e8i −2.80485 1.35074i
\(671\) 5.40136e8 1.23282e8i 1.78787 0.408069i
\(672\) −4.32340e7 + 9.86787e6i −0.142468 + 0.0325174i
\(673\) −2.78449e8 2.22056e8i −0.913483 0.728479i 0.0492913 0.998784i \(-0.484304\pi\)
−0.962774 + 0.270306i \(0.912875\pi\)
\(674\) −3.71387e8 7.71194e8i −1.21296 2.51874i
\(675\) −1.04519e7 2.38557e6i −0.0339847 0.00775678i
\(676\) −4.20020e8 + 2.02271e8i −1.35966 + 0.654778i
\(677\) −2.12965e8 + 1.69834e8i −0.686346 + 0.547343i −0.903390 0.428819i \(-0.858930\pi\)
0.217044 + 0.976162i \(0.430358\pi\)
\(678\) 6.04203e8 1.37905e8i 1.93863 0.442479i
\(679\) 1.94790e7 1.55340e7i 0.0622238 0.0496218i
\(680\) −9.41577e7 + 4.12532e8i −0.299453 + 1.31199i
\(681\) 4.11681e8 1.30352
\(682\) 9.52858e8i 3.00383i
\(683\) −4.14826e6 + 1.81747e7i −0.0130198 + 0.0570434i −0.981021 0.193904i \(-0.937885\pi\)
0.968001 + 0.250947i \(0.0807421\pi\)
\(684\) −2.19990e7 1.75436e7i −0.0687441 0.0548216i
\(685\) 2.25659e8 + 1.08672e8i 0.702071 + 0.338100i
\(686\) −2.51537e8 + 1.21134e8i −0.779166 + 0.375226i
\(687\) 5.68490e8i 1.75328i
\(688\) −1.09450e8 + 1.36203e8i −0.336087 + 0.418237i
\(689\) 1.46661e8 0.448390
\(690\) −2.78099e8 5.77479e8i −0.846551 1.75788i
\(691\) −6.31708e7 + 1.31175e8i −0.191462 + 0.397574i −0.974496 0.224404i \(-0.927957\pi\)
0.783034 + 0.621978i \(0.213671\pi\)
\(692\) −7.67986e7 + 9.63024e7i −0.231758 + 0.290616i
\(693\) 1.84989e7 + 4.22226e6i 0.0555837 + 0.0126866i
\(694\) 1.46038e8 0.436906
\(695\) 2.83447e8i 0.844341i
\(696\) 2.29037e8 + 5.22763e7i 0.679327 + 0.155052i
\(697\) −1.52330e7 1.91016e7i −0.0449871 0.0564121i
\(698\) −2.02532e8 8.87351e8i −0.595563 2.60933i
\(699\) 3.69303e8 + 4.63091e8i 1.08131 + 1.35592i
\(700\) 2.84732e6 + 5.91252e6i 0.00830122 + 0.0172377i
\(701\) 7.80731e6 3.42061e7i 0.0226646 0.0992999i −0.962331 0.271882i \(-0.912354\pi\)
0.984995 + 0.172582i \(0.0552111\pi\)
\(702\) −1.97440e8 + 9.50822e7i −0.570721 + 0.274845i
\(703\) 2.05139e7 2.57236e7i 0.0590449 0.0740399i
\(704\) −1.28130e8 5.61375e8i −0.367226 1.60892i
\(705\) 1.13653e8 + 4.97947e8i 0.324350 + 1.42107i
\(706\) −3.53763e8 + 7.34597e8i −1.00531 + 2.08754i
\(707\) −8.19098e7 6.53208e7i −0.231781 0.184839i
\(708\) 8.73688e8 6.96743e8i 2.46182 1.96324i
\(709\) 4.57089e8 + 2.20122e8i 1.28251 + 0.617626i 0.946035 0.324065i \(-0.105050\pi\)
0.336479 + 0.941691i \(0.390764\pi\)
\(710\) −1.16653e7 + 2.42232e7i −0.0325927 + 0.0676794i
\(711\) 1.30998e7 + 1.64266e7i 0.0364464 + 0.0457024i
\(712\) 2.63597e8 3.30541e8i 0.730300 0.915767i
\(713\) −5.32823e8 2.56594e8i −1.46999 0.707910i
\(714\) 1.68378e8 3.84311e7i 0.462583 0.105582i
\(715\) −1.75420e8 + 4.00384e7i −0.479910 + 0.109536i
\(716\) 2.89462e8 + 2.30838e8i 0.788592 + 0.628881i
\(717\) −9.54319e7 1.98166e8i −0.258902 0.537616i
\(718\) −9.34320e8 2.13253e8i −2.52419 0.576131i
\(719\) −3.30305e8 + 1.59066e8i −0.888644 + 0.427948i −0.821774 0.569813i \(-0.807016\pi\)
−0.0668700 + 0.997762i \(0.521301\pi\)
\(720\) −2.76446e7 + 2.20459e7i −0.0740651 + 0.0590649i
\(721\) −8.12989e7 + 1.85559e7i −0.216910 + 0.0495082i
\(722\) 4.60582e8 3.67302e8i 1.22376 0.975915i
\(723\) 3.31811e7 1.45376e8i 0.0877961 0.384660i
\(724\) 6.73614e8 1.77499
\(725\) 6.78935e6i 0.0178162i
\(726\) −6.45290e7 + 2.82720e8i −0.168634 + 0.738834i
\(727\) 5.53086e8 + 4.41071e8i 1.43943 + 1.14790i 0.963267 + 0.268546i \(0.0865430\pi\)
0.476160 + 0.879359i \(0.342028\pi\)
\(728\) 5.50534e7 + 2.65123e7i 0.142689 + 0.0687153i
\(729\) 2.65572e8 1.27893e8i 0.685488 0.330114i
\(730\) 6.27759e8i 1.61371i
\(731\) −2.38397e8 + 2.96670e8i −0.610308 + 0.759488i
\(732\) 1.20676e9 3.07673
\(733\) 7.40634e7 + 1.53794e8i 0.188058 + 0.390506i 0.973586 0.228319i \(-0.0733230\pi\)
−0.785528 + 0.618826i \(0.787609\pi\)
\(734\) 5.60013e8 1.16288e9i 1.41615 2.94067i
\(735\) 2.44948e8 3.07155e8i 0.616896 0.773563i
\(736\) 2.13708e8 + 4.87774e7i 0.536027 + 0.122345i
\(737\) −8.97691e8 −2.24246
\(738\) 9.03012e6i 0.0224659i
\(739\) 3.60507e8 + 8.22834e7i 0.893265 + 0.203882i 0.644430 0.764664i \(-0.277095\pi\)
0.248836 + 0.968546i \(0.419952\pi\)
\(740\) −1.62065e8 2.03223e8i −0.399939 0.501508i
\(741\) −1.10389e7 4.83648e7i −0.0271314 0.118871i
\(742\) 1.21241e8 + 1.52031e8i 0.296782 + 0.372152i
\(743\) 2.70353e8 + 5.61393e8i 0.659120 + 1.36868i 0.915586 + 0.402123i \(0.131728\pi\)
−0.256466 + 0.966553i \(0.582558\pi\)
\(744\) −2.10377e8 + 9.21723e8i −0.510834 + 2.23811i
\(745\) 5.63588e8 2.71410e8i 1.36299 0.656381i
\(746\) 9.96774e7 1.24991e8i 0.240093 0.301068i
\(747\) −1.94198e7 8.50837e7i −0.0465890 0.204120i
\(748\) 1.98176e8 + 8.68265e8i 0.473528 + 2.07466i
\(749\) 1.61834e7 3.36052e7i 0.0385145 0.0799762i
\(750\) −6.14702e8 4.90208e8i −1.45707 1.16197i
\(751\) −1.10213e8 + 8.78923e7i −0.260205 + 0.207506i −0.744899 0.667177i \(-0.767502\pi\)
0.484694 + 0.874684i \(0.338931\pi\)
\(752\) 2.81395e8 + 1.35512e8i 0.661702 + 0.318659i
\(753\) 1.44750e8 3.00577e8i 0.339027 0.703997i
\(754\) 8.65290e7 + 1.08504e8i 0.201859 + 0.253123i
\(755\) −2.52619e8 + 3.16774e8i −0.586983 + 0.736053i
\(756\) −1.69496e8 8.16248e7i −0.392277 0.188911i
\(757\) −5.79429e8 + 1.32251e8i −1.33571 + </