Properties

Label 43.7.f.a.2.15
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 2.15
Character \(\chi\) \(=\) 43.2
Dual form 43.7.f.a.22.15

$q$-expansion

\(f(q)\) \(=\) \(q+(2.79658 + 5.80715i) q^{2} +(-16.1345 + 33.5037i) q^{3} +(14.0012 - 17.5569i) q^{4} +(-177.830 - 40.5886i) q^{5} -239.682 q^{6} -522.371i q^{7} +(543.278 + 124.000i) q^{8} +(-407.649 - 511.176i) q^{9} +O(q^{10})\) \(q+(2.79658 + 5.80715i) q^{2} +(-16.1345 + 33.5037i) q^{3} +(14.0012 - 17.5569i) q^{4} +(-177.830 - 40.5886i) q^{5} -239.682 q^{6} -522.371i q^{7} +(543.278 + 124.000i) q^{8} +(-407.649 - 511.176i) q^{9} +(-261.612 - 1146.20i) q^{10} +(-95.4353 - 119.672i) q^{11} +(362.319 + 752.362i) q^{12} +(-664.158 + 2909.87i) q^{13} +(3033.49 - 1460.85i) q^{14} +(4229.08 - 5303.09i) q^{15} +(479.428 + 2100.51i) q^{16} +(-1681.88 - 7368.81i) q^{17} +(1828.45 - 3796.82i) q^{18} +(-2144.88 - 1710.48i) q^{19} +(-3202.44 + 2553.86i) q^{20} +(17501.4 + 8428.21i) q^{21} +(428.062 - 888.880i) q^{22} +(-14961.4 - 18761.0i) q^{23} +(-12920.0 + 16201.1i) q^{24} +(15898.6 + 7656.35i) q^{25} +(-18755.4 + 4280.80i) q^{26} +(-2725.63 + 622.108i) q^{27} +(-9171.22 - 7313.81i) q^{28} +(-12713.6 - 26400.2i) q^{29} +(42622.8 + 9728.38i) q^{30} +(5284.73 - 2544.99i) q^{31} +(17025.9 - 13577.7i) q^{32} +(5549.26 - 1266.58i) q^{33} +(38088.3 - 30374.4i) q^{34} +(-21202.3 + 92893.5i) q^{35} -14682.2 q^{36} +54282.8i q^{37} +(3934.72 - 17239.1i) q^{38} +(-86775.3 - 69201.0i) q^{39} +(-91578.3 - 44101.8i) q^{40} +(-18943.7 + 9122.82i) q^{41} +125203. i q^{42} +(62267.7 + 49437.7i) q^{43} -3437.28 q^{44} +(51744.5 + 107448. i) q^{45} +(67107.3 - 139350. i) q^{46} +(-88169.2 + 110561. i) q^{47} +(-78110.2 - 17828.1i) q^{48} -155223. q^{49} +113737. i q^{50} +(274018. + 62542.9i) q^{51} +(41789.3 + 52402.1i) q^{52} +(-10575.4 - 46333.7i) q^{53} +(-11235.1 - 14088.4i) q^{54} +(12114.0 + 25154.9i) q^{55} +(64773.8 - 283793. i) q^{56} +(91913.9 - 44263.4i) q^{57} +(117755. - 147660. i) q^{58} +(-50268.6 - 220241. i) q^{59} +(-33893.9 - 148499. i) q^{60} +(-84478.6 + 175422. i) q^{61} +(29558.3 + 23572.0i) q^{62} +(-267024. + 212944. i) q^{63} +(250697. + 120729. i) q^{64} +(236215. - 490505. i) q^{65} +(22874.2 + 28683.3i) q^{66} +(-26697.3 + 33477.4i) q^{67} +(-152922. - 73643.2i) q^{68} +(869957. - 198562. i) q^{69} +(-598741. + 136659. i) q^{70} +(23306.4 + 18586.2i) q^{71} +(-158081. - 328259. i) q^{72} +(-237553. - 54220.0i) q^{73} +(-315228. + 151806. i) q^{74} +(-513032. + 409129. i) q^{75} +(-60061.5 + 13708.6i) q^{76} +(-62513.3 + 49852.7i) q^{77} +(159187. - 697444. i) q^{78} -250032. q^{79} -392994. i q^{80} +(129195. - 566039. i) q^{81} +(-105955. - 84496.5i) q^{82} +(530384. + 255419. i) q^{83} +(393013. - 189265. i) q^{84} +1.37866e6i q^{85} +(-112956. + 499855. i) q^{86} +1.08963e6 q^{87} +(-37008.6 - 76849.1i) q^{88} +(-60323.4 + 125263. i) q^{89} +(-479263. + 600976. i) q^{90} +(1.52003e6 + 346937. i) q^{91} -538862. q^{92} +218120. i q^{93} +(-888615. - 202821. i) q^{94} +(311998. + 391233. i) q^{95} +(180199. + 789502. i) q^{96} +(21744.4 + 27266.6i) q^{97} +(-434093. - 901403. i) q^{98} +(-22269.4 + 97568.4i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.79658 + 5.80715i 0.349572 + 0.725894i 0.999416 0.0341737i \(-0.0108799\pi\)
−0.649844 + 0.760068i \(0.725166\pi\)
\(3\) −16.1345 + 33.5037i −0.597575 + 1.24088i 0.354513 + 0.935051i \(0.384647\pi\)
−0.952088 + 0.305825i \(0.901068\pi\)
\(4\) 14.0012 17.5569i 0.218768 0.274327i
\(5\) −177.830 40.5886i −1.42264 0.324709i −0.559149 0.829067i \(-0.688872\pi\)
−0.863494 + 0.504358i \(0.831729\pi\)
\(6\) −239.682 −1.10964
\(7\) 522.371i 1.52295i −0.648195 0.761474i \(-0.724476\pi\)
0.648195 0.761474i \(-0.275524\pi\)
\(8\) 543.278 + 124.000i 1.06109 + 0.242187i
\(9\) −407.649 511.176i −0.559189 0.701201i
\(10\) −261.612 1146.20i −0.261612 1.14620i
\(11\) −95.4353 119.672i −0.0717020 0.0899114i 0.744687 0.667414i \(-0.232599\pi\)
−0.816389 + 0.577503i \(0.804027\pi\)
\(12\) 362.319 + 752.362i 0.209675 + 0.435395i
\(13\) −664.158 + 2909.87i −0.302302 + 1.32447i 0.564340 + 0.825543i \(0.309131\pi\)
−0.866642 + 0.498930i \(0.833726\pi\)
\(14\) 3033.49 1460.85i 1.10550 0.532381i
\(15\) 4229.08 5303.09i 1.25306 1.57129i
\(16\) 479.428 + 2100.51i 0.117048 + 0.512820i
\(17\) −1681.88 7368.81i −0.342333 1.49986i −0.794135 0.607741i \(-0.792076\pi\)
0.451802 0.892118i \(-0.350781\pi\)
\(18\) 1828.45 3796.82i 0.313521 0.651033i
\(19\) −2144.88 1710.48i −0.312710 0.249378i 0.454540 0.890726i \(-0.349804\pi\)
−0.767249 + 0.641349i \(0.778375\pi\)
\(20\) −3202.44 + 2553.86i −0.400305 + 0.319233i
\(21\) 17501.4 + 8428.21i 1.88979 + 0.910076i
\(22\) 428.062 888.880i 0.0402012 0.0834786i
\(23\) −14961.4 18761.0i −1.22967 1.54196i −0.744650 0.667455i \(-0.767384\pi\)
−0.485021 0.874503i \(-0.661188\pi\)
\(24\) −12920.0 + 16201.1i −0.934604 + 1.17196i
\(25\) 15898.6 + 7656.35i 1.01751 + 0.490007i
\(26\) −18755.4 + 4280.80i −1.06710 + 0.243559i
\(27\) −2725.63 + 622.108i −0.138477 + 0.0316064i
\(28\) −9171.22 7313.81i −0.417785 0.333173i
\(29\) −12713.6 26400.2i −0.521286 1.08246i −0.980931 0.194359i \(-0.937737\pi\)
0.459644 0.888103i \(-0.347977\pi\)
\(30\) 42622.8 + 9728.38i 1.57862 + 0.360310i
\(31\) 5284.73 2544.99i 0.177394 0.0854282i −0.343079 0.939306i \(-0.611470\pi\)
0.520473 + 0.853878i \(0.325756\pi\)
\(32\) 17025.9 13577.7i 0.519591 0.414360i
\(33\) 5549.26 1266.58i 0.154416 0.0352445i
\(34\) 38088.3 30374.4i 0.969069 0.772807i
\(35\) −21202.3 + 92893.5i −0.494515 + 2.16661i
\(36\) −14682.2 −0.314691
\(37\) 54282.8i 1.07166i 0.844326 + 0.535830i \(0.180001\pi\)
−0.844326 + 0.535830i \(0.819999\pi\)
\(38\) 3934.72 17239.1i 0.0717072 0.314170i
\(39\) −86775.3 69201.0i −1.46286 1.16659i
\(40\) −91578.3 44101.8i −1.43091 0.689090i
\(41\) −18943.7 + 9122.82i −0.274861 + 0.132366i −0.566237 0.824242i \(-0.691601\pi\)
0.291376 + 0.956609i \(0.405887\pi\)
\(42\) 125203.i 1.68993i
\(43\) 62267.7 + 49437.7i 0.783173 + 0.621804i
\(44\) −3437.28 −0.0403512
\(45\) 51744.5 + 107448.i 0.567841 + 1.17913i
\(46\) 67107.3 139350.i 0.689440 1.43164i
\(47\) −88169.2 + 110561.i −0.849226 + 1.06490i 0.147890 + 0.989004i \(0.452752\pi\)
−0.997116 + 0.0758921i \(0.975820\pi\)
\(48\) −78110.2 17828.1i −0.706292 0.161206i
\(49\) −155223. −1.31937
\(50\) 113737.i 0.909897i
\(51\) 274018. + 62542.9i 2.06571 + 0.471485i
\(52\) 41789.3 + 52402.1i 0.297204 + 0.372682i
\(53\) −10575.4 46333.7i −0.0710342 0.311221i 0.926912 0.375279i \(-0.122453\pi\)
−0.997946 + 0.0640575i \(0.979596\pi\)
\(54\) −11235.1 14088.4i −0.0713504 0.0894706i
\(55\) 12114.0 + 25154.9i 0.0728113 + 0.151194i
\(56\) 64773.8 283793.i 0.368838 1.61598i
\(57\) 91913.9 44263.4i 0.496314 0.239012i
\(58\) 117755. 147660.i 0.603526 0.756797i
\(59\) −50268.6 220241.i −0.244760 1.07237i −0.936624 0.350337i \(-0.886067\pi\)
0.691863 0.722028i \(-0.256790\pi\)
\(60\) −33893.9 148499.i −0.156916 0.687495i
\(61\) −84478.6 + 175422.i −0.372184 + 0.772847i −0.999985 0.00552657i \(-0.998241\pi\)
0.627801 + 0.778374i \(0.283955\pi\)
\(62\) 29558.3 + 23572.0i 0.124024 + 0.0989056i
\(63\) −267024. + 212944.i −1.06789 + 0.851617i
\(64\) 250697. + 120729.i 0.956333 + 0.460546i
\(65\) 236215. 490505.i 0.860137 1.78609i
\(66\) 22874.2 + 28683.3i 0.0795634 + 0.0997694i
\(67\) −26697.3 + 33477.4i −0.0887654 + 0.111308i −0.824231 0.566254i \(-0.808392\pi\)
0.735465 + 0.677562i \(0.236964\pi\)
\(68\) −152922. 73643.2i −0.486343 0.234210i
\(69\) 869957. 198562.i 2.64820 0.604434i
\(70\) −598741. + 136659.i −1.74560 + 0.398422i
\(71\) 23306.4 + 18586.2i 0.0651179 + 0.0519298i 0.655508 0.755188i \(-0.272455\pi\)
−0.590390 + 0.807118i \(0.701026\pi\)
\(72\) −158081. 328259.i −0.423528 0.879465i
\(73\) −237553. 54220.0i −0.610650 0.139377i −0.0939980 0.995572i \(-0.529965\pi\)
−0.516652 + 0.856196i \(0.672822\pi\)
\(74\) −315228. + 151806.i −0.777912 + 0.374623i
\(75\) −513032. + 409129.i −1.21608 + 0.969788i
\(76\) −60061.5 + 13708.6i −0.136822 + 0.0312287i
\(77\) −62513.3 + 49852.7i −0.136930 + 0.109198i
\(78\) 159187. 697444.i 0.335447 1.46969i
\(79\) −250032. −0.507124 −0.253562 0.967319i \(-0.581602\pi\)
−0.253562 + 0.967319i \(0.581602\pi\)
\(80\) 392994.i 0.767567i
\(81\) 129195. 566039.i 0.243103 1.06510i
\(82\) −105955. 84496.5i −0.192168 0.153249i
\(83\) 530384. + 255419.i 0.927590 + 0.446704i 0.835775 0.549072i \(-0.185019\pi\)
0.0918150 + 0.995776i \(0.470733\pi\)
\(84\) 393013. 189265.i 0.663084 0.319324i
\(85\) 1.37866e6i 2.24492i
\(86\) −112956. + 499855.i −0.177588 + 0.785866i
\(87\) 1.08963e6 1.65471
\(88\) −37008.6 76849.1i −0.0543068 0.112769i
\(89\) −60323.4 + 125263.i −0.0855689 + 0.177686i −0.939362 0.342926i \(-0.888582\pi\)
0.853793 + 0.520612i \(0.174296\pi\)
\(90\) −479263. + 600976.i −0.657425 + 0.824384i
\(91\) 1.52003e6 + 346937.i 2.01710 + 0.460391i
\(92\) −538862. −0.692013
\(93\) 218120.i 0.271173i
\(94\) −888615. 202821.i −1.06987 0.244190i
\(95\) 311998. + 391233.i 0.363899 + 0.456315i
\(96\) 180199. + 789502.i 0.203675 + 0.892359i
\(97\) 21744.4 + 27266.6i 0.0238249 + 0.0298755i 0.793601 0.608438i \(-0.208204\pi\)
−0.769776 + 0.638314i \(0.779632\pi\)
\(98\) −434093. 901403.i −0.461216 0.957725i
\(99\) −22269.4 + 97568.4i −0.0229510 + 0.100555i
\(100\) 357020. 171932.i 0.357020 0.171932i
\(101\) 328837. 412349.i 0.319166 0.400221i −0.596205 0.802832i \(-0.703326\pi\)
0.915371 + 0.402610i \(0.131897\pi\)
\(102\) 403117. + 1.76617e6i 0.379867 + 1.66430i
\(103\) 171707. + 752298.i 0.157136 + 0.688459i 0.990703 + 0.136041i \(0.0434378\pi\)
−0.833567 + 0.552419i \(0.813705\pi\)
\(104\) −721644. + 1.49851e6i −0.641539 + 1.33217i
\(105\) −2.77018e6 2.20915e6i −2.39299 1.90835i
\(106\) 239492. 190989.i 0.201082 0.160358i
\(107\) 271265. + 130634.i 0.221433 + 0.106637i 0.541312 0.840822i \(-0.317928\pi\)
−0.319879 + 0.947458i \(0.603642\pi\)
\(108\) −27239.7 + 56563.9i −0.0216238 + 0.0449022i
\(109\) −1.57218e6 1.97145e6i −1.21401 1.52232i −0.785598 0.618737i \(-0.787645\pi\)
−0.428412 0.903584i \(-0.640927\pi\)
\(110\) −112201. + 140695.i −0.0842982 + 0.105707i
\(111\) −1.81867e6 875826.i −1.32980 0.640397i
\(112\) 1.09725e6 250440.i 0.780999 0.178258i
\(113\) −730706. + 166779.i −0.506416 + 0.115586i −0.468093 0.883679i \(-0.655059\pi\)
−0.0383229 + 0.999265i \(0.512202\pi\)
\(114\) 514089. + 409972.i 0.346995 + 0.276720i
\(115\) 1.89911e6 + 3.94354e6i 1.24869 + 2.59294i
\(116\) −641511. 146421.i −0.410989 0.0938055i
\(117\) 1.75820e6 846703.i 1.09777 0.528656i
\(118\) 1.13840e6 907840.i 0.692862 0.552539i
\(119\) −3.84925e6 + 878567.i −2.28421 + 0.521356i
\(120\) 2.95514e6 2.35665e6i 1.71015 1.36380i
\(121\) 388996. 1.70430e6i 0.219578 0.962034i
\(122\) −1.25495e6 −0.691110
\(123\) 781877.i 0.420168i
\(124\) 29310.2 128416.i 0.0153728 0.0673527i
\(125\) −288226. 229852.i −0.147571 0.117684i
\(126\) −1.98335e6 955132.i −0.991490 0.477476i
\(127\) 1.94325e6 935821.i 0.948676 0.456858i 0.105454 0.994424i \(-0.466370\pi\)
0.843222 + 0.537566i \(0.180656\pi\)
\(128\) 399737.i 0.190609i
\(129\) −2.66101e6 + 1.28854e6i −1.23959 + 0.600247i
\(130\) 3.50903e6 1.59719
\(131\) 1.17174e6 + 2.43315e6i 0.521217 + 1.08232i 0.980950 + 0.194262i \(0.0622311\pi\)
−0.459732 + 0.888058i \(0.652055\pi\)
\(132\) 55458.8 115161.i 0.0241128 0.0500708i
\(133\) −893507. + 1.12042e6i −0.379789 + 0.476241i
\(134\) −269070. 61413.4i −0.111828 0.0255240i
\(135\) 509951. 0.207266
\(136\) 4.21186e6i 1.67439i
\(137\) 3.51514e6 + 802307.i 1.36704 + 0.312017i 0.842191 0.539179i \(-0.181265\pi\)
0.524847 + 0.851197i \(0.324123\pi\)
\(138\) 3.58598e6 + 4.49668e6i 1.36449 + 1.71102i
\(139\) −709025. 3.10644e6i −0.264008 1.15669i −0.916860 0.399209i \(-0.869285\pi\)
0.652852 0.757486i \(-0.273572\pi\)
\(140\) 1.33406e6 + 1.67286e6i 0.486175 + 0.609644i
\(141\) −2.28162e6 4.73783e6i −0.813928 1.69014i
\(142\) −42755.0 + 187322.i −0.0149321 + 0.0654219i
\(143\) 411614. 198223.i 0.140761 0.0677869i
\(144\) 878293. 1.10134e6i 0.294138 0.368838i
\(145\) 1.18933e6 + 5.21078e6i 0.390119 + 1.70922i
\(146\) −349472. 1.53114e6i −0.112293 0.491989i
\(147\) 2.50445e6 5.20054e6i 0.788424 1.63718i
\(148\) 953037. + 760022.i 0.293985 + 0.234445i
\(149\) 2.16304e6 1.72496e6i 0.653890 0.521460i −0.239411 0.970918i \(-0.576954\pi\)
0.893301 + 0.449458i \(0.148383\pi\)
\(150\) −3.81061e6 1.83509e6i −1.12907 0.543731i
\(151\) 442594. 919055.i 0.128551 0.266938i −0.826753 0.562566i \(-0.809814\pi\)
0.955303 + 0.295627i \(0.0955287\pi\)
\(152\) −953164. 1.19523e6i −0.271417 0.340346i
\(153\) −3.08114e6 + 3.86362e6i −0.860274 + 1.07875i
\(154\) −464325. 223607.i −0.127134 0.0612243i
\(155\) −1.04308e6 + 238077.i −0.280107 + 0.0639326i
\(156\) −2.42991e6 + 554611.i −0.640054 + 0.146088i
\(157\) −873085. 696262.i −0.225610 0.179918i 0.504161 0.863610i \(-0.331802\pi\)
−0.729771 + 0.683692i \(0.760373\pi\)
\(158\) −699233. 1.45197e6i −0.177276 0.368118i
\(159\) 1.72298e6 + 393258.i 0.428635 + 0.0978333i
\(160\) −3.57883e6 + 1.72347e6i −0.873738 + 0.420770i
\(161\) −9.80021e6 + 7.81541e6i −2.34832 + 1.87273i
\(162\) 3.64838e6 832719.i 0.858134 0.195864i
\(163\) −172707. + 137730.i −0.0398794 + 0.0318027i −0.643227 0.765676i \(-0.722405\pi\)
0.603347 + 0.797479i \(0.293833\pi\)
\(164\) −105066. + 460323.i −0.0238193 + 0.104359i
\(165\) −1.03824e6 −0.231123
\(166\) 3.79432e6i 0.829487i
\(167\) 1.58784e6 6.95677e6i 0.340923 1.49368i −0.456206 0.889874i \(-0.650792\pi\)
0.797129 0.603809i \(-0.206351\pi\)
\(168\) 8.46300e6 + 6.74902e6i 1.78483 + 1.42335i
\(169\) −3.67741e6 1.77095e6i −0.761872 0.366898i
\(170\) −8.00611e6 + 3.85554e6i −1.62958 + 0.784763i
\(171\) 1.79368e6i 0.358722i
\(172\) 1.73979e6 401043.i 0.341911 0.0788144i
\(173\) −4.38581e6 −0.847056 −0.423528 0.905883i \(-0.639208\pi\)
−0.423528 + 0.905883i \(0.639208\pi\)
\(174\) 3.04724e6 + 6.32765e6i 0.578440 + 1.20114i
\(175\) 3.99946e6 8.30496e6i 0.746255 1.54961i
\(176\) 205618. 257837.i 0.0377158 0.0472942i
\(177\) 8.18995e6 + 1.86930e6i 1.47694 + 0.337101i
\(178\) −896120. −0.158894
\(179\) 4.55544e6i 0.794276i −0.917759 0.397138i \(-0.870003\pi\)
0.917759 0.397138i \(-0.129997\pi\)
\(180\) 2.61095e6 + 595931.i 0.447693 + 0.102183i
\(181\) 767509. + 962426.i 0.129434 + 0.162305i 0.842325 0.538970i \(-0.181186\pi\)
−0.712891 + 0.701274i \(0.752615\pi\)
\(182\) 2.23617e6 + 9.79729e6i 0.370929 + 1.62514i
\(183\) −4.51425e6 5.66069e6i −0.736600 0.923668i
\(184\) −5.80184e6 1.20476e7i −0.931348 1.93396i
\(185\) 2.20326e6 9.65313e6i 0.347978 1.52459i
\(186\) −1.26666e6 + 609990.i −0.196843 + 0.0947946i
\(187\) −721330. + 904519.i −0.110308 + 0.138322i
\(188\) 706632. + 3.09596e6i 0.106346 + 0.465931i
\(189\) 324971. + 1.42379e6i 0.0481349 + 0.210893i
\(190\) −1.39942e6 + 2.90593e6i −0.204027 + 0.423667i
\(191\) −1.00040e6 797789.i −0.143573 0.114495i 0.549070 0.835777i \(-0.314982\pi\)
−0.692642 + 0.721281i \(0.743554\pi\)
\(192\) −8.08975e6 + 6.45136e6i −1.14296 + 0.911481i
\(193\) 9.29999e6 + 4.47864e6i 1.29363 + 0.622980i 0.948857 0.315706i \(-0.102241\pi\)
0.344774 + 0.938686i \(0.387956\pi\)
\(194\) −97531.4 + 202526.i −0.0133579 + 0.0277380i
\(195\) 1.26225e7 + 1.58281e7i 1.70232 + 2.13465i
\(196\) −2.17330e6 + 2.72523e6i −0.288637 + 0.361939i
\(197\) −1.03397e7 4.97934e6i −1.35241 0.651288i −0.389481 0.921034i \(-0.627346\pi\)
−0.962931 + 0.269747i \(0.913060\pi\)
\(198\) −628873. + 143536.i −0.0810153 + 0.0184912i
\(199\) 4.55466e6 1.03957e6i 0.577959 0.131915i 0.0764584 0.997073i \(-0.475639\pi\)
0.501500 + 0.865157i \(0.332782\pi\)
\(200\) 7.68796e6 + 6.13094e6i 0.960995 + 0.766368i
\(201\) −690867. 1.43460e6i −0.0850759 0.176662i
\(202\) 3.31419e6 + 756442.i 0.402090 + 0.0917744i
\(203\) −1.37907e7 + 6.64125e6i −1.64853 + 0.793892i
\(204\) 4.93463e6 3.93524e6i 0.581252 0.463533i
\(205\) 3.73905e6 853415.i 0.434010 0.0990600i
\(206\) −3.88852e6 + 3.10099e6i −0.444818 + 0.354731i
\(207\) −3.49117e6 + 1.52958e7i −0.393604 + 1.72449i
\(208\) −6.43063e6 −0.714601
\(209\) 419922.i 0.0459970i
\(210\) 5.08183e6 2.22649e7i 0.548734 2.40416i
\(211\) −170424. 135909.i −0.0181420 0.0144677i 0.614377 0.789013i \(-0.289407\pi\)
−0.632519 + 0.774545i \(0.717979\pi\)
\(212\) −961543. 463055.i −0.100916 0.0485987i
\(213\) −998745. + 480970.i −0.103351 + 0.0497713i
\(214\) 1.94061e6i 0.198014i
\(215\) −9.06649e6 1.13189e7i −0.912271 1.13891i
\(216\) −1.55792e6 −0.154591
\(217\) −1.32943e6 2.76059e6i −0.130103 0.270161i
\(218\) 7.05179e6 1.46432e7i 0.680659 1.41340i
\(219\) 5.64937e6 7.08409e6i 0.537858 0.674453i
\(220\) 611252. + 139514.i 0.0574054 + 0.0131024i
\(221\) 2.25593e7 2.09001
\(222\) 1.30106e7i 1.18916i
\(223\) 274088. + 62558.8i 0.0247159 + 0.00564123i 0.234861 0.972029i \(-0.424537\pi\)
−0.210145 + 0.977670i \(0.567394\pi\)
\(224\) −7.09262e6 8.89387e6i −0.631049 0.791310i
\(225\) −2.56730e6 1.12481e7i −0.225387 0.987485i
\(226\) −3.01199e6 3.77691e6i −0.260932 0.327199i
\(227\) 6.25548e6 + 1.29896e7i 0.534790 + 1.11050i 0.976931 + 0.213557i \(0.0685049\pi\)
−0.442141 + 0.896946i \(0.645781\pi\)
\(228\) 509773. 2.23346e6i 0.0430103 0.188440i
\(229\) −7.72302e6 + 3.71921e6i −0.643103 + 0.309702i −0.726862 0.686784i \(-0.759022\pi\)
0.0837585 + 0.996486i \(0.473308\pi\)
\(230\) −1.75897e7 + 2.20568e7i −1.44569 + 1.81284i
\(231\) −661626. 2.89877e6i −0.0536756 0.235168i
\(232\) −3.63343e6 1.59191e7i −0.290973 1.27484i
\(233\) −3.71383e6 + 7.71186e6i −0.293599 + 0.609665i −0.994633 0.103463i \(-0.967008\pi\)
0.701034 + 0.713128i \(0.252722\pi\)
\(234\) 9.83387e6 + 7.84225e6i 0.767497 + 0.612059i
\(235\) 2.01667e7 1.60824e7i 1.55393 1.23922i
\(236\) −4.57057e6 2.20107e6i −0.347724 0.167455i
\(237\) 4.03414e6 8.37698e6i 0.303044 0.629278i
\(238\) −1.58667e7 1.98962e7i −1.17694 1.47584i
\(239\) −9.62477e6 + 1.20691e7i −0.705012 + 0.884057i −0.997387 0.0722464i \(-0.976983\pi\)
0.292375 + 0.956304i \(0.405555\pi\)
\(240\) 1.31668e7 + 6.34077e6i 0.952456 + 0.458679i
\(241\) −4.52386e6 + 1.03254e6i −0.323190 + 0.0737661i −0.381038 0.924559i \(-0.624433\pi\)
0.0578478 + 0.998325i \(0.481576\pi\)
\(242\) 1.09850e7 2.50726e6i 0.775093 0.176910i
\(243\) 1.52865e7 + 1.21905e7i 1.06534 + 0.849580i
\(244\) 1.89706e6 + 3.93929e6i 0.130591 + 0.271174i
\(245\) 2.76034e7 + 6.30028e6i 1.87700 + 0.428412i
\(246\) 4.54048e6 2.18658e6i 0.304997 0.146879i
\(247\) 6.40181e6 5.10527e6i 0.424827 0.338788i
\(248\) 3.18665e6 727333.i 0.208920 0.0476846i
\(249\) −1.71150e7 + 1.36487e7i −1.10861 + 0.884086i
\(250\) 528742. 2.31657e6i 0.0338395 0.148260i
\(251\) −2.33150e7 −1.47439 −0.737197 0.675677i \(-0.763851\pi\)
−0.737197 + 0.675677i \(0.763851\pi\)
\(252\) 7.66957e6i 0.479258i
\(253\) −817323. + 3.58092e6i −0.0504698 + 0.221123i
\(254\) 1.08689e7 + 8.66767e6i 0.663262 + 0.528934i
\(255\) −4.61903e7 2.22441e7i −2.78567 1.34151i
\(256\) 1.37233e7 6.60878e6i 0.817971 0.393914i
\(257\) 3.30112e6i 0.194474i 0.995261 + 0.0972370i \(0.0310005\pi\)
−0.995261 + 0.0972370i \(0.969000\pi\)
\(258\) −1.49245e7 1.18494e7i −0.869041 0.689979i
\(259\) 2.83558e7 1.63208
\(260\) −5.30447e6 1.10148e7i −0.301802 0.626698i
\(261\) −8.31242e6 + 1.72609e7i −0.467526 + 0.970828i
\(262\) −1.08528e7 + 1.36090e7i −0.603446 + 0.756698i
\(263\) 2.16239e7 + 4.93551e6i 1.18868 + 0.271309i 0.770732 0.637160i \(-0.219891\pi\)
0.417952 + 0.908469i \(0.362748\pi\)
\(264\) 3.17184e6 0.172385
\(265\) 8.66878e6i 0.465822i
\(266\) −9.00522e6 2.05538e6i −0.478464 0.109206i
\(267\) −3.22348e6 4.04211e6i −0.169352 0.212361i
\(268\) 213966. + 937445.i 0.0111158 + 0.0487014i
\(269\) −2.27891e7 2.85766e7i −1.17077 1.46809i −0.854522 0.519415i \(-0.826150\pi\)
−0.316243 0.948678i \(-0.602422\pi\)
\(270\) 1.42612e6 + 2.96136e6i 0.0724543 + 0.150453i
\(271\) −2.86872e6 + 1.25687e7i −0.144139 + 0.631512i 0.850309 + 0.526283i \(0.176415\pi\)
−0.994448 + 0.105229i \(0.966442\pi\)
\(272\) 1.46719e7 7.06563e6i 0.729089 0.351111i
\(273\) −3.61486e7 + 4.53290e7i −1.77666 + 2.22786i
\(274\) 5.17123e6 + 2.26567e7i 0.251387 + 1.10140i
\(275\) −601034. 2.63330e6i −0.0289002 0.126620i
\(276\) 8.69428e6 1.80539e7i 0.413529 0.858702i
\(277\) −4.93314e6 3.93405e6i −0.232105 0.185098i 0.500530 0.865719i \(-0.333138\pi\)
−0.732635 + 0.680621i \(0.761710\pi\)
\(278\) 1.60567e7 1.28048e7i 0.747348 0.595990i
\(279\) −3.45525e6 1.66396e6i −0.159099 0.0766180i
\(280\) −2.30375e7 + 4.78379e7i −1.04945 + 2.17920i
\(281\) 620076. + 777551.i 0.0279464 + 0.0350437i 0.795608 0.605811i \(-0.207151\pi\)
−0.767662 + 0.640855i \(0.778580\pi\)
\(282\) 2.11326e7 2.64994e7i 0.942336 1.18165i
\(283\) 3.75547e7 + 1.80854e7i 1.65693 + 0.797936i 0.998993 + 0.0448638i \(0.0142854\pi\)
0.657938 + 0.753072i \(0.271429\pi\)
\(284\) 652634. 148959.i 0.0284914 0.00650299i
\(285\) −1.81417e7 + 4.14072e6i −0.783688 + 0.178872i
\(286\) 2.30222e6 + 1.83596e6i 0.0984122 + 0.0784811i
\(287\) 4.76550e6 + 9.89566e6i 0.201587 + 0.418600i
\(288\) −1.38812e7 3.16830e6i −0.581099 0.132632i
\(289\) −2.97234e7 + 1.43140e7i −1.23142 + 0.593019i
\(290\) −2.69338e7 + 2.14790e7i −1.10434 + 0.880682i
\(291\) −1.26437e6 + 288583.i −0.0513090 + 0.0117109i
\(292\) −4.27795e6 + 3.41155e6i −0.171825 + 0.137026i
\(293\) 4.26893e6 1.87034e7i 0.169713 0.743563i −0.816400 0.577487i \(-0.804033\pi\)
0.986113 0.166075i \(-0.0531095\pi\)
\(294\) 3.72042e7 1.46403
\(295\) 4.12059e7i 1.60507i
\(296\) −6.73104e6 + 2.94906e7i −0.259542 + 1.13713i
\(297\) 334571. + 266811.i 0.0127708 + 0.0101844i
\(298\) 1.60662e7 + 7.73709e6i 0.607107 + 0.292367i
\(299\) 6.45287e7 3.10754e7i 2.41401 1.16253i
\(300\) 1.47355e7i 0.545760i
\(301\) 2.58249e7 3.25269e7i 0.946975 1.19273i
\(302\) 6.57484e6 0.238707
\(303\) 8.50956e6 + 1.76703e7i 0.305900 + 0.635208i
\(304\) 2.56457e6 5.32539e6i 0.0912840 0.189553i
\(305\) 2.21430e7 2.77664e7i 0.780435 0.978634i
\(306\) −3.10533e7 7.08771e6i −1.08379 0.247367i
\(307\) −2.83562e7 −0.980015 −0.490008 0.871718i \(-0.663006\pi\)
−0.490008 + 0.871718i \(0.663006\pi\)
\(308\) 1.79553e6i 0.0614528i
\(309\) −2.79752e7 6.38515e6i −0.948194 0.216419i
\(310\) −4.29961e6 5.39155e6i −0.144326 0.180979i
\(311\) −7.91532e6 3.46793e7i −0.263140 1.15289i −0.917823 0.396990i \(-0.870055\pi\)
0.654683 0.755904i \(-0.272802\pi\)
\(312\) −3.85622e7 4.83555e7i −1.26969 1.59214i
\(313\) −3.72738e6 7.73998e6i −0.121554 0.252410i 0.831309 0.555811i \(-0.187592\pi\)
−0.952863 + 0.303401i \(0.901878\pi\)
\(314\) 1.60165e6 7.01729e6i 0.0517344 0.226663i
\(315\) 5.61280e7 2.70298e7i 1.79576 0.864792i
\(316\) −3.50073e6 + 4.38978e6i −0.110942 + 0.139117i
\(317\) −3.67453e6 1.60992e7i −0.115352 0.505388i −0.999286 0.0377778i \(-0.987972\pi\)
0.883935 0.467611i \(-0.154885\pi\)
\(318\) 2.53473e6 + 1.11054e7i 0.0788225 + 0.345344i
\(319\) −1.94603e6 + 4.04098e6i −0.0599484 + 0.124484i
\(320\) −3.96813e7 3.16448e7i −1.21098 0.965722i
\(321\) −8.75346e6 + 6.98065e6i −0.264646 + 0.211048i
\(322\) −7.27923e7 3.50549e7i −2.18031 1.04998i
\(323\) −8.99678e6 + 1.86820e7i −0.266980 + 0.554391i
\(324\) −8.12902e6 1.01935e7i −0.239003 0.299700i
\(325\) −3.28381e7 + 4.11777e7i −0.956596 + 1.19953i
\(326\) −1.28281e6 617767.i −0.0370262 0.0178309i
\(327\) 9.14171e7 2.08654e7i 2.61447 0.596736i
\(328\) −1.14229e7 + 2.60721e6i −0.323710 + 0.0738847i
\(329\) 5.77537e7 + 4.60571e7i 1.62178 + 1.29333i
\(330\) −2.90351e6 6.02919e6i −0.0807943 0.167771i
\(331\) 1.46982e7 + 3.35476e6i 0.405303 + 0.0925077i 0.420312 0.907380i \(-0.361921\pi\)
−0.0150093 + 0.999887i \(0.504778\pi\)
\(332\) 1.19104e7 5.73573e6i 0.325470 0.156738i
\(333\) 2.77480e7 2.21283e7i 0.751449 0.599261i
\(334\) 4.48396e7 1.02343e7i 1.20343 0.274676i
\(335\) 6.10640e6 4.86969e6i 0.162424 0.129529i
\(336\) −9.31292e6 + 4.08025e7i −0.245509 + 1.07565i
\(337\) −4.37573e7 −1.14330 −0.571651 0.820497i \(-0.693697\pi\)
−0.571651 + 0.820497i \(0.693697\pi\)
\(338\) 2.63079e7i 0.681296i
\(339\) 6.20188e6 2.71722e7i 0.159193 0.697471i
\(340\) 2.42051e7 + 1.93029e7i 0.615842 + 0.491118i
\(341\) −808914. 389553.i −0.0204004 0.00982433i
\(342\) −1.04162e7 + 5.01618e6i −0.260394 + 0.125399i
\(343\) 1.96275e7i 0.486389i
\(344\) 2.76984e7 + 3.45796e7i 0.680424 + 0.849463i
\(345\) −1.62764e8 −3.96371
\(346\) −1.22653e7 2.54691e7i −0.296107 0.614873i
\(347\) −3.35045e7 + 6.95727e7i −0.801889 + 1.66514i −0.0566004 + 0.998397i \(0.518026\pi\)
−0.745288 + 0.666742i \(0.767688\pi\)
\(348\) 1.52561e7 1.91305e7i 0.361998 0.453931i
\(349\) −2.63089e7 6.00484e6i −0.618909 0.141262i −0.0984409 0.995143i \(-0.531386\pi\)
−0.520468 + 0.853881i \(0.674243\pi\)
\(350\) 5.94130e7 1.38573
\(351\) 8.34441e6i 0.192963i
\(352\) −3.24975e6 741735.i −0.0745113 0.0170067i
\(353\) −1.16882e7 1.46565e7i −0.265719 0.333201i 0.631015 0.775771i \(-0.282639\pi\)
−0.896734 + 0.442569i \(0.854067\pi\)
\(354\) 1.20485e7 + 5.27880e7i 0.271596 + 1.18994i
\(355\) −3.39020e6 4.25117e6i −0.0757775 0.0950219i
\(356\) 1.35463e6 + 2.81292e6i 0.0300242 + 0.0623458i
\(357\) 3.26706e7 1.43139e8i 0.718047 3.14597i
\(358\) 2.64542e7 1.27397e7i 0.576561 0.277657i
\(359\) 1.05599e7 1.32417e7i 0.228232 0.286194i −0.654509 0.756055i \(-0.727124\pi\)
0.882741 + 0.469861i \(0.155696\pi\)
\(360\) 1.47880e7 + 6.47907e7i 0.316959 + 1.38869i
\(361\) −8.79395e6 3.85288e7i −0.186923 0.818962i
\(362\) −3.44256e6 + 7.14854e6i −0.0725697 + 0.150692i
\(363\) 5.08241e7 + 4.05309e7i 1.06255 + 0.847357i
\(364\) 2.73733e7 2.18295e7i 0.567576 0.452626i
\(365\) 4.00435e7 + 1.92839e7i 0.823480 + 0.396567i
\(366\) 2.02480e7 4.20455e7i 0.412990 0.857583i
\(367\) −1.05355e7 1.32111e7i −0.213137 0.267265i 0.663758 0.747947i \(-0.268960\pi\)
−0.876895 + 0.480682i \(0.840389\pi\)
\(368\) 3.22348e7 4.04212e7i 0.646817 0.811083i
\(369\) 1.23858e7 + 5.96466e6i 0.246515 + 0.118715i
\(370\) 6.22188e7 1.42010e7i 1.22833 0.280359i
\(371\) −2.42034e7 + 5.52427e6i −0.473974 + 0.108181i
\(372\) 3.82951e6 + 3.05393e6i 0.0743900 + 0.0593241i
\(373\) 1.73335e7 + 3.59934e7i 0.334010 + 0.693579i 0.998559 0.0536655i \(-0.0170905\pi\)
−0.664549 + 0.747245i \(0.731376\pi\)
\(374\) −7.26993e6 1.65931e6i −0.138968 0.0317186i
\(375\) 1.23513e7 5.94806e6i 0.234217 0.112793i
\(376\) −6.16098e7 + 4.91322e7i −1.15901 + 0.924278i
\(377\) 8.52648e7 1.94611e7i 1.59128 0.363199i
\(378\) −7.35938e6 + 5.86891e6i −0.136259 + 0.108663i
\(379\) −4.44294e6 + 1.94658e7i −0.0816118 + 0.357565i −0.999201 0.0399650i \(-0.987275\pi\)
0.917589 + 0.397530i \(0.130132\pi\)
\(380\) 1.12372e7 0.204789
\(381\) 8.02051e7i 1.45020i
\(382\) 1.83520e6 8.04054e6i 0.0329225 0.144243i
\(383\) −2.65311e7 2.11578e7i −0.472236 0.376595i 0.358259 0.933622i \(-0.383371\pi\)
−0.830494 + 0.557027i \(0.811942\pi\)
\(384\) −1.33927e7 6.44956e6i −0.236523 0.113903i
\(385\) 1.31402e7 6.32799e6i 0.230261 0.110888i
\(386\) 6.65313e7i 1.15682i
\(387\) −112010. 5.19830e7i −0.00193252 0.896868i
\(388\) 783163. 0.0134078
\(389\) −3.10497e7 6.44754e7i −0.527484 1.09533i −0.979149 0.203144i \(-0.934884\pi\)
0.451665 0.892188i \(-0.350830\pi\)
\(390\) −5.66166e7 + 1.17566e8i −0.954442 + 1.98192i
\(391\) −1.13083e8 + 1.41801e8i −1.89176 + 2.37220i
\(392\) −8.43291e7 1.92476e7i −1.39997 0.319534i
\(393\) −1.00425e8 −1.65449
\(394\) 7.39693e7i 1.20938i
\(395\) 4.44632e7 + 1.01484e7i 0.721456 + 0.164668i
\(396\) 1.40120e6 + 1.75705e6i 0.0225640 + 0.0282943i
\(397\) −1.59068e7 6.96923e7i −0.254221 1.11381i −0.927322 0.374264i \(-0.877895\pi\)
0.673101 0.739551i \(-0.264962\pi\)
\(398\) 1.87744e7 + 2.35424e7i 0.297795 + 0.373423i
\(399\) −2.31219e7 4.80132e7i −0.364004 0.755861i
\(400\) −8.46004e6 + 3.70658e7i −0.132188 + 0.579154i
\(401\) −1.00126e7 + 4.82181e6i −0.155279 + 0.0747785i −0.509909 0.860228i \(-0.670321\pi\)
0.354630 + 0.935007i \(0.384607\pi\)
\(402\) 6.39888e6 8.02395e6i 0.0984977 0.123512i
\(403\) 3.89569e6 + 1.70681e7i 0.0595209 + 0.260778i
\(404\) −2.63546e6 1.15467e7i −0.0399680 0.175111i
\(405\) −4.59495e7 + 9.54152e7i −0.691697 + 1.43632i
\(406\) −7.71335e7 6.15119e7i −1.15256 0.919139i
\(407\) 6.49613e6 5.18049e6i 0.0963544 0.0768401i
\(408\) 1.41113e8 + 6.79563e7i 2.07771 + 1.00057i
\(409\) 3.83549e7 7.96448e7i 0.560597 1.16409i −0.407427 0.913238i \(-0.633574\pi\)
0.968025 0.250855i \(-0.0807117\pi\)
\(410\) 1.54125e7 + 1.93266e7i 0.223625 + 0.280417i
\(411\) −8.35953e7 + 1.04825e8i −1.20408 + 1.50987i
\(412\) 1.56121e7 + 7.51840e6i 0.223239 + 0.107506i
\(413\) −1.15048e8 + 2.62589e7i −1.63316 + 0.372758i
\(414\) −9.85884e7 + 2.25022e7i −1.38939 + 0.317120i
\(415\) −8.39512e7 6.69489e7i −1.17458 0.936697i
\(416\) 2.82015e7 + 5.85610e7i 0.391735 + 0.813445i
\(417\) 1.15517e8 + 2.63660e7i 1.59308 + 0.363610i
\(418\) −2.43855e6 + 1.17434e6i −0.0333890 + 0.0160793i
\(419\) 4.91612e7 3.92048e7i 0.668314 0.532963i −0.229516 0.973305i \(-0.573714\pi\)
0.897830 + 0.440342i \(0.145143\pi\)
\(420\) −7.75716e7 + 1.77052e7i −1.04702 + 0.238975i
\(421\) 1.78034e7 1.41977e7i 0.238592 0.190271i −0.496893 0.867812i \(-0.665526\pi\)
0.735485 + 0.677541i \(0.236954\pi\)
\(422\) 312639. 1.36976e6i 0.00416012 0.0182267i
\(423\) 9.24580e7 1.22158
\(424\) 2.64834e7i 0.347437i
\(425\) 2.96786e7 1.30031e8i 0.386614 1.69387i
\(426\) −5.58614e6 4.45479e6i −0.0722575 0.0576234i
\(427\) 9.16352e7 + 4.41292e7i 1.17701 + 0.566817i
\(428\) 6.09156e6 2.93354e6i 0.0776957 0.0374163i
\(429\) 1.69888e7i 0.215175i
\(430\) 4.03754e7 8.43047e7i 0.507822 1.06034i
\(431\) 6.99118e7 0.873210 0.436605 0.899653i \(-0.356181\pi\)
0.436605 + 0.899653i \(0.356181\pi\)
\(432\) −2.61349e6 5.42697e6i −0.0324168 0.0673141i
\(433\) 5.73791e7 1.19149e8i 0.706789 1.46766i −0.169325 0.985560i \(-0.554159\pi\)
0.876114 0.482103i \(-0.160127\pi\)
\(434\) 1.23133e7 1.54404e7i 0.150628 0.188882i
\(435\) −1.93769e8 4.42266e7i −2.35406 0.537299i
\(436\) −5.66249e7 −0.683200
\(437\) 6.58312e7i 0.788838i
\(438\) 5.69373e7 + 1.29956e7i 0.677602 + 0.154658i
\(439\) 7.94195e7 + 9.95889e7i 0.938714 + 1.17711i 0.984006 + 0.178137i \(0.0570069\pi\)
−0.0452915 + 0.998974i \(0.514422\pi\)
\(440\) 3.46205e6 + 1.51682e7i 0.0406420 + 0.178064i
\(441\) 6.32765e7 + 7.93462e7i 0.737779 + 0.925146i
\(442\) 6.30888e7 + 1.31005e8i 0.730610 + 1.51713i
\(443\) 7.09396e6 3.10807e7i 0.0815977 0.357503i −0.917602 0.397500i \(-0.869878\pi\)
0.999200 + 0.0399974i \(0.0127350\pi\)
\(444\) −4.08403e7 + 1.96677e7i −0.466595 + 0.224700i
\(445\) 1.58116e7 1.98271e7i 0.179430 0.224998i
\(446\) 403220. + 1.76662e6i 0.00454504 + 0.0199131i
\(447\) 2.28931e7 + 1.00301e8i 0.256319 + 1.12301i
\(448\) 6.30655e7 1.30957e8i 0.701388 1.45645i
\(449\) −3.70120e7 2.95161e7i −0.408888 0.326077i 0.397352 0.917666i \(-0.369929\pi\)
−0.806239 + 0.591589i \(0.798501\pi\)
\(450\) 5.81396e7 4.63648e7i 0.638021 0.508804i
\(451\) 2.89965e6 + 1.39640e6i 0.0316093 + 0.0152223i
\(452\) −7.30261e6 + 1.51640e7i −0.0790793 + 0.164210i
\(453\) 2.36507e7 + 2.96570e7i 0.254419 + 0.319031i
\(454\) −5.79389e7 + 7.26531e7i −0.619160 + 0.776402i
\(455\) −2.56226e8 1.23392e8i −2.72013 1.30994i
\(456\) 5.54234e7 1.26500e7i 0.584519 0.133413i
\(457\) 1.04253e8 2.37951e7i 1.09230 0.249309i 0.361820 0.932248i \(-0.382156\pi\)
0.730476 + 0.682939i \(0.239298\pi\)
\(458\) −4.31960e7 3.44477e7i −0.449622 0.358562i
\(459\) 9.16839e6 + 1.90384e7i 0.0948102 + 0.196875i
\(460\) 9.58261e7 + 2.18717e7i 0.984487 + 0.224703i
\(461\) 6.16340e7 2.96813e7i 0.629096 0.302957i −0.0920343 0.995756i \(-0.529337\pi\)
0.721131 + 0.692799i \(0.243623\pi\)
\(462\) 1.49833e7 1.19488e7i 0.151944 0.121171i
\(463\) −8.24919e7 + 1.88282e7i −0.831129 + 0.189700i −0.616858 0.787074i \(-0.711595\pi\)
−0.214271 + 0.976774i \(0.568738\pi\)
\(464\) 4.93586e7 3.93622e7i 0.494093 0.394026i
\(465\) 8.85320e6 3.87884e7i 0.0880524 0.385783i
\(466\) −5.51700e7 −0.545186
\(467\) 1.47361e8i 1.44688i 0.690387 + 0.723440i \(0.257440\pi\)
−0.690387 + 0.723440i \(0.742560\pi\)
\(468\) 9.75131e6 4.27233e7i 0.0951318 0.416800i
\(469\) 1.74876e7 + 1.39459e7i 0.169517 + 0.135185i
\(470\) 1.49791e8 + 7.21353e7i 1.44275 + 0.694791i
\(471\) 3.74142e7 1.80177e7i 0.358074 0.172440i
\(472\) 1.25885e8i 1.19715i
\(473\) −26222.8 1.21698e7i −0.000247797 0.115001i
\(474\) 5.99282e7 0.562725
\(475\) −2.10044e7 4.36161e7i −0.195988 0.406974i
\(476\) −3.84691e7 + 7.98819e7i −0.356690 + 0.740675i
\(477\) −1.93736e7 + 2.42938e7i −0.178507 + 0.223841i
\(478\) −9.70034e7 2.21404e7i −0.888185 0.202722i
\(479\) 9.76513e7 0.888529 0.444264 0.895896i \(-0.353465\pi\)
0.444264 + 0.895896i \(0.353465\pi\)
\(480\) 1.47711e8i 1.33564i
\(481\) −1.57956e8 3.60523e7i −1.41938 0.323965i
\(482\) −1.86475e7 2.33832e7i −0.166525 0.208815i
\(483\) −1.03723e8 4.54441e8i −0.920522 4.03307i
\(484\) −2.44759e7 3.06918e7i −0.215875 0.270699i
\(485\) −2.76010e6 5.73140e6i −0.0241935 0.0502384i
\(486\) −2.80426e7 + 1.22863e8i −0.244292 + 1.07031i
\(487\) 9.92166e7 4.77802e7i 0.859009 0.413677i 0.0480952 0.998843i \(-0.484685\pi\)
0.810914 + 0.585166i \(0.198971\pi\)
\(488\) −6.76475e7 + 8.48273e7i −0.582093 + 0.729922i
\(489\) −1.82790e6 8.00854e6i −0.0156324 0.0684899i
\(490\) 4.06082e7 + 1.77916e8i 0.345164 + 1.51226i
\(491\) 1.21237e7 2.51752e7i 0.102422 0.212681i −0.843460 0.537191i \(-0.819485\pi\)
0.945882 + 0.324511i \(0.105200\pi\)
\(492\) −1.37273e7 1.09472e7i −0.115263 0.0919193i
\(493\) −1.73155e8 + 1.38086e8i −1.44509 + 1.15242i
\(494\) 4.75503e7 + 2.28990e7i 0.394432 + 0.189948i
\(495\) 7.92034e6 1.64467e7i 0.0653022 0.135601i
\(496\) 7.87944e6 + 9.88050e6i 0.0645729 + 0.0809718i
\(497\) 9.70892e6 1.21746e7i 0.0790864 0.0991712i
\(498\) −1.27124e8 6.12195e7i −1.02929 0.495681i
\(499\) 1.42322e8 3.24840e7i 1.14543 0.261438i 0.392638 0.919693i \(-0.371562\pi\)
0.752795 + 0.658255i \(0.228705\pi\)
\(500\) −8.07098e6 + 1.84215e6i −0.0645679 + 0.0147372i
\(501\) 2.07458e8 + 1.65443e8i 1.64975 + 1.31563i
\(502\) −6.52021e7 1.35394e8i −0.515408 1.07025i
\(503\) −2.03649e8 4.64815e7i −1.60021 0.365238i −0.672961 0.739678i \(-0.734978\pi\)
−0.927251 + 0.374440i \(0.877835\pi\)
\(504\) −1.71473e8 + 8.25770e7i −1.33938 + 0.645012i
\(505\) −7.52139e7 + 5.99811e7i −0.584015 + 0.465736i
\(506\) −2.30807e7 + 5.26802e6i −0.178155 + 0.0406626i
\(507\) 1.18667e8 9.46334e7i 0.910551 0.726140i
\(508\) 1.07777e7 4.72201e7i 0.0822117 0.360193i
\(509\) −9.08791e7 −0.689145 −0.344573 0.938760i \(-0.611976\pi\)
−0.344573 + 0.938760i \(0.611976\pi\)
\(510\) 3.30441e8i 2.49106i
\(511\) −2.83230e7 + 1.24091e8i −0.212264 + 0.929988i
\(512\) 9.67581e7 + 7.71620e7i 0.720904 + 0.574902i
\(513\) 6.91025e6 + 3.32780e6i 0.0511849 + 0.0246493i
\(514\) −1.91701e7 + 9.23183e6i −0.141168 + 0.0679827i
\(515\) 1.40751e8i 1.03046i
\(516\) −1.46343e7 + 6.47601e7i −0.106518 + 0.471366i
\(517\) 2.16455e7 0.156637
\(518\) 7.92991e7 + 1.64666e8i 0.570531 + 1.18472i
\(519\) 7.07630e7 1.46941e8i 0.506179 1.05109i
\(520\) 1.89153e8 2.37190e8i 1.34525 1.68689i
\(521\) 8.23525e7 + 1.87964e7i 0.582323 + 0.132911i 0.503527 0.863979i \(-0.332035\pi\)
0.0787957 + 0.996891i \(0.474893\pi\)
\(522\) −1.23483e8 −0.868152
\(523\) 7.93006e7i 0.554334i 0.960822 + 0.277167i \(0.0893955\pi\)
−0.960822 + 0.277167i \(0.910605\pi\)
\(524\) 5.91244e7 + 1.34948e7i 0.410935 + 0.0937932i
\(525\) 2.13717e8 + 2.67993e8i 1.47694 + 1.85202i
\(526\) 3.18116e7 + 1.39376e8i 0.218589 + 0.957701i
\(527\) −2.76418e7 3.46618e7i −0.188858 0.236820i
\(528\) 5.32094e6 + 1.10490e7i 0.0361482 + 0.0750625i
\(529\) −9.51906e7 + 4.17057e8i −0.643024 + 2.81727i
\(530\) −5.03409e7 + 2.42429e7i −0.338138 + 0.162839i
\(531\) −9.20900e7 + 1.15477e8i −0.615077 + 0.771282i
\(532\) 7.16101e6 + 3.13744e7i 0.0475597 + 0.208373i
\(533\) −1.39646e7 6.11827e7i −0.0922243 0.404061i
\(534\) 1.44585e7 3.00233e7i 0.0949508 0.197167i
\(535\) −4.29369e7 3.42410e7i −0.280394 0.223607i
\(536\) −1.86553e7 + 1.48771e7i −0.121145 + 0.0966102i
\(537\) 1.52624e8 + 7.34999e7i 0.985599 + 0.474639i
\(538\) 1.02217e8 2.12256e8i 0.656413 1.36306i
\(539\) 1.48137e7 + 1.85758e7i 0.0946016 + 0.118627i
\(540\) 7.13990e6 8.95316e6i 0.0453431 0.0568584i
\(541\) −1.92816e8 9.28553e7i −1.21773 0.586428i −0.289052 0.957313i \(-0.593340\pi\)
−0.928679 + 0.370885i \(0.879054\pi\)
\(542\) −8.10108e7 + 1.84902e7i −0.508798 + 0.116130i
\(543\) −4.46282e7 + 1.01861e7i −0.278747 + 0.0636221i
\(544\) −1.28687e8 1.02625e8i −0.799354 0.637464i
\(545\) 1.99563e8 + 4.14396e8i 1.23279 + 2.55992i
\(546\) −3.64325e8 8.31547e7i −2.23826 0.510868i
\(547\) 9.60037e7 4.62330e7i 0.586578 0.282481i −0.116962 0.993136i \(-0.537316\pi\)
0.703541 + 0.710655i \(0.251601\pi\)
\(548\) 6.33020e7 5.04817e7i 0.384659 0.306755i
\(549\) 1.24109e8 2.83270e7i 0.750043 0.171192i
\(550\) 1.36112e7 1.08545e7i 0.0818101 0.0652414i
\(551\) −1.78878e7 + 7.83715e7i −0.106931 + 0.468493i
\(552\) 4.97250e8 2.95636
\(553\) 1.30609e8i 0.772323i
\(554\) 9.04972e6 3.96494e7i 0.0532238 0.233189i
\(555\) 2.87867e8 + 2.29566e8i 1.68388 + 1.34285i
\(556\) −6.44666e7 3.10455e7i −0.375069 0.180624i
\(557\) −1.22429e8 + 5.89589e7i −0.708468 + 0.341180i −0.753175 0.657820i \(-0.771479\pi\)
0.0447073 + 0.999000i \(0.485764\pi\)
\(558\) 2.47186e7i 0.142273i
\(559\) −1.85213e8 + 1.48356e8i −1.06032 + 0.849319i
\(560\) −2.05289e8 −1.16897
\(561\) −1.86664e7 3.87612e7i −0.105724 0.219537i
\(562\) −2.78127e6 + 5.77536e6i −0.0156687 + 0.0325365i
\(563\) −1.44329e8 + 1.80983e8i −0.808779 + 1.01418i 0.190692 + 0.981650i \(0.438927\pi\)
−0.999471 + 0.0325264i \(0.989645\pi\)
\(564\) −1.15127e8 2.62770e7i −0.641712 0.146467i
\(565\) 1.36711e8 0.757981
\(566\) 2.68663e8i 1.48169i
\(567\) −2.95683e8 6.74877e7i −1.62210 0.370233i
\(568\) 1.03572e7 + 1.29875e7i 0.0565192 + 0.0708728i
\(569\) −3.55906e7 1.55933e8i −0.193196 0.846448i −0.974872 0.222764i \(-0.928492\pi\)
0.781676 0.623685i \(-0.214365\pi\)
\(570\) −7.47804e7 9.37717e7i −0.403797 0.506346i
\(571\) 1.45641e8 + 3.02427e8i 0.782304 + 1.62447i 0.781047 + 0.624472i \(0.214686\pi\)
0.00125654 + 0.999999i \(0.499600\pi\)
\(572\) 2.28289e6 1.00020e7i 0.0121983 0.0534441i
\(573\) 4.28698e7 2.06450e7i 0.227870 0.109736i
\(574\) −4.41385e7 + 5.53480e7i −0.233390 + 0.292662i
\(575\) −9.42242e7 4.12823e8i −0.495631 2.17150i
\(576\) −4.04825e7 1.77365e8i −0.211836 0.928114i
\(577\) 1.40675e8 2.92115e8i 0.732301 1.52064i −0.117233 0.993104i \(-0.537402\pi\)
0.849534 0.527534i \(-0.176883\pi\)
\(578\) −1.66248e8 1.32578e8i −0.860938 0.686575i
\(579\) −3.00102e8 + 2.39323e8i −1.54608 + 1.23296i
\(580\) 1.08137e8 + 5.20761e7i 0.554231 + 0.266904i
\(581\) 1.33424e8 2.77057e8i 0.680307 1.41267i
\(582\) −5.21174e6 6.53532e6i −0.0264371 0.0331511i
\(583\) −4.53559e6 + 5.68745e6i −0.0228891 + 0.0287020i
\(584\) −1.22334e8 5.89130e7i −0.614199 0.295782i
\(585\) −3.47027e8 + 7.92067e7i −1.73339 + 0.395635i
\(586\) 1.20552e8 2.75152e7i 0.599075 0.136735i
\(587\) 1.84146e8 + 1.46851e8i 0.910431 + 0.726044i 0.962122 0.272619i \(-0.0878898\pi\)
−0.0516915 + 0.998663i \(0.516461\pi\)
\(588\) −5.62401e7 1.16784e8i −0.276640 0.574448i
\(589\) −1.56883e7 3.58074e6i −0.0767766 0.0175238i
\(590\) −2.39289e8 + 1.15236e8i −1.16511 + 0.561088i
\(591\) 3.33652e8 2.66079e8i 1.61634 1.28898i
\(592\) −1.14022e8 + 2.60247e7i −0.549569 + 0.125436i
\(593\) 2.22346e8 1.77315e8i 1.06627 0.850319i 0.0770860 0.997024i \(-0.475438\pi\)
0.989180 + 0.146705i \(0.0468670\pi\)
\(594\) −613761. + 2.68906e6i −0.00292846 + 0.0128304i
\(595\) 7.20174e8 3.41890
\(596\) 6.21277e7i 0.293458i
\(597\) −3.86578e7 + 1.69371e8i −0.181683 + 0.796005i
\(598\) 3.60919e8 + 2.87824e8i 1.68774 + 1.34593i
\(599\) −1.88919e8 9.09788e7i −0.879015 0.423311i −0.0607501 0.998153i \(-0.519349\pi\)
−0.818265 + 0.574842i \(0.805064\pi\)
\(600\) −3.29450e8 + 1.58655e8i −1.52523 + 0.734514i
\(601\) 2.87692e8i 1.32527i 0.748943 + 0.662635i \(0.230562\pi\)
−0.748943 + 0.662635i \(0.769438\pi\)
\(602\) 2.61110e8 + 5.90050e7i 1.19683 + 0.270458i
\(603\) 2.79960e7 0.127686
\(604\) −9.93894e6 2.06384e7i −0.0451055 0.0936625i
\(605\) −1.38351e8 + 2.87288e8i −0.624762 + 1.29733i
\(606\) −7.88164e7 + 9.88327e7i −0.354159 + 0.444102i
\(607\) −6.71927e7 1.53363e7i −0.300439 0.0685731i 0.0696443 0.997572i \(-0.477814\pi\)
−0.370083 + 0.928999i \(0.620671\pi\)
\(608\) −5.97430e7 −0.265813
\(609\) 5.69192e8i 2.52004i
\(610\) 2.23169e8 + 5.09368e7i 0.983204 + 0.224410i
\(611\) −2.63159e8 3.29990e8i −1.15370 1.44670i
\(612\) 2.46938e7 + 1.08190e8i 0.107729 + 0.471992i
\(613\) −3.11351e7 3.90421e7i −0.135166 0.169493i 0.709642 0.704563i \(-0.248857\pi\)
−0.844808 + 0.535070i \(0.820285\pi\)
\(614\) −7.93003e7 1.64669e8i −0.342586 0.711387i
\(615\) −3.17353e7 + 1.39041e8i −0.136432 + 0.597749i
\(616\) −4.01438e7 + 1.93322e7i −0.171742 + 0.0827065i
\(617\) −1.91046e7 + 2.39565e7i −0.0813361 + 0.101992i −0.820835 0.571166i \(-0.806491\pi\)
0.739499 + 0.673158i \(0.235063\pi\)
\(618\) −4.11552e7 1.80313e8i −0.174365 0.763942i
\(619\) −4.55054e7 1.99372e8i −0.191863 0.840607i −0.975607 0.219523i \(-0.929550\pi\)
0.783744 0.621084i \(-0.213307\pi\)
\(620\) −1.04245e7 + 2.16467e7i −0.0437401 + 0.0908272i
\(621\) 5.24507e7 + 4.18280e7i 0.219016 + 0.174660i
\(622\) 1.79252e8 1.42949e8i 0.744892 0.594032i
\(623\) 6.54338e7 + 3.15112e7i 0.270606 + 0.130317i
\(624\) 1.03755e8 2.15450e8i 0.427027 0.886731i
\(625\) −1.29983e8 1.62993e8i −0.532410 0.667621i
\(626\) 3.45234e7 4.32909e7i 0.140731 0.176471i
\(627\) −1.40689e7 6.77524e6i −0.0570767 0.0274867i
\(628\) −2.44484e7 + 5.58019e6i −0.0987124 + 0.0225305i
\(629\) 3.99999e8 9.12972e7i 1.60734 0.366865i
\(630\) 3.13933e8 + 2.50353e8i 1.25550 + 1.00122i
\(631\) −1.75181e8 3.63767e8i −0.697266 1.44789i −0.884964 0.465660i \(-0.845817\pi\)
0.187698 0.982227i \(-0.439897\pi\)
\(632\) −1.35837e8 3.10038e7i −0.538103 0.122819i
\(633\) 7.30316e6 3.51702e6i 0.0287938 0.0138664i
\(634\) 8.32142e7 6.63611e7i 0.326535 0.260403i
\(635\) −3.83553e8 + 8.75435e7i −1.49797 + 0.341903i
\(636\) 3.10281e7 2.47441e7i 0.120610 0.0961833i
\(637\) 1.03093e8 4.51678e8i 0.398849 1.74747i
\(638\) −2.89088e7 −0.111319
\(639\) 1.94903e7i 0.0746993i
\(640\) 1.62248e7 7.10854e7i 0.0618926 0.271169i
\(641\) −1.37545e8 1.09689e8i −0.522242 0.416474i 0.326567 0.945174i \(-0.394108\pi\)
−0.848809 + 0.528700i \(0.822680\pi\)
\(642\) −6.50174e7 3.13107e7i −0.245711 0.118328i
\(643\) −9.36142e7 + 4.50822e7i −0.352135 + 0.169579i −0.601586 0.798808i \(-0.705464\pi\)
0.249451 + 0.968387i \(0.419750\pi\)
\(644\) 2.81486e8i 1.05390i
\(645\) 5.25508e8 1.21136e8i 1.95839 0.451433i
\(646\) −1.33649e8 −0.495758
\(647\) 7.53005e7 + 1.56363e8i 0.278026 + 0.577326i 0.992487 0.122348i \(-0.0390425\pi\)
−0.714461 + 0.699675i \(0.753328\pi\)
\(648\) 1.40377e8 2.91496e8i 0.515907 1.07129i
\(649\) −2.15593e7 + 2.70346e7i −0.0788681 + 0.0988974i
\(650\) −3.30960e8 7.55394e7i −1.20513 0.275064i
\(651\) 1.13940e8 0.412983
\(652\) 4.96058e6i 0.0178974i
\(653\) 1.68144e8 + 3.83779e7i 0.603869 + 0.137829i 0.513515 0.858080i \(-0.328343\pi\)
0.0903541 + 0.995910i \(0.471200\pi\)
\(654\) 3.76823e8 + 4.72522e8i 1.34711 + 1.68923i
\(655\) −1.09613e8 4.80248e8i −0.390068 1.70900i
\(656\) −2.82448e7 3.54178e7i −0.100052 0.125461i
\(657\) 6.91224e7 + 1.43534e8i 0.243738 + 0.506126i
\(658\) −1.05948e8 + 4.64187e8i −0.371889 + 1.62935i
\(659\) −7.78758e6 + 3.75030e6i −0.0272111 + 0.0131042i −0.447440 0.894314i \(-0.647664\pi\)
0.420229 + 0.907418i \(0.361950\pi\)
\(660\) −1.45365e7 + 1.82282e7i −0.0505624 + 0.0634033i
\(661\) −7.04126e7 3.08498e8i −0.243807 1.06819i −0.937519 0.347935i \(-0.886883\pi\)
0.693712 0.720253i \(-0.255974\pi\)
\(662\) 2.16230e7 + 9.47364e7i 0.0745318 + 0.326545i
\(663\) −3.63983e8 + 7.55819e8i −1.24894 + 2.59344i
\(664\) 2.56474e8 + 2.04531e8i 0.876070 + 0.698642i
\(665\) 2.04369e8 1.62979e8i 0.694945 0.554200i
\(666\) 2.06102e8 + 9.92536e7i 0.697686 + 0.335988i
\(667\) −3.05080e8 + 6.33504e8i −1.02810 + 2.13487i
\(668\) −9.99078e7 1.25280e8i −0.335174 0.420295i
\(669\) −6.51823e6 + 8.17360e6i −0.0217696 + 0.0272983i
\(670\) 4.53561e7 + 2.18423e7i 0.150803 + 0.0726231i
\(671\) 2.90553e7 6.63169e6i 0.0961741 0.0219511i
\(672\) 4.12413e8 9.41306e7i 1.35902 0.310187i
\(673\) 9.23677e7 + 7.36608e7i 0.303023 + 0.241652i 0.763182 0.646184i \(-0.223636\pi\)
−0.460159 + 0.887836i \(0.652208\pi\)
\(674\) −1.22371e8 2.54106e8i −0.399667 0.829917i
\(675\) −4.80968e7 1.09778e7i −0.156388 0.0356946i
\(676\) −8.25804e7 + 3.97686e7i −0.267323 + 0.128736i
\(677\) 3.32933e7 2.65505e7i 0.107298 0.0855672i −0.568371 0.822772i \(-0.692426\pi\)
0.675669 + 0.737205i \(0.263855\pi\)
\(678\) 1.75137e8 3.99739e7i 0.561939 0.128259i
\(679\) 1.42433e7 1.13586e7i 0.0454989 0.0362841i
\(680\) −1.70954e8 + 7.48997e8i −0.543690 + 2.38206i
\(681\) −5.36130e8 −1.69757
\(682\) 5.78691e6i 0.0182429i
\(683\) 4.62698e7 2.02721e8i 0.145223 0.636264i −0.848951 0.528472i \(-0.822765\pi\)
0.994174 0.107791i \(-0.0343778\pi\)
\(684\) 3.14915e7 + 2.51137e7i 0.0984069 + 0.0784769i
\(685\) −5.92534e8 2.85349e8i −1.84349 0.887779i
\(686\) −1.13980e8 + 5.48899e7i −0.353067 + 0.170028i
\(687\) 3.18757e8i 0.983082i
\(688\) −7.39917e7 + 1.54496e8i −0.227205 + 0.474408i
\(689\) 1.41849e8 0.433678
\(690\) −4.55183e8 9.45197e8i −1.38560 2.87723i
\(691\) −1.44536e8 + 3.00131e8i −0.438067 + 0.909656i 0.558704 + 0.829367i \(0.311299\pi\)
−0.996772 + 0.0802890i \(0.974416\pi\)
\(692\) −6.14065e7 + 7.70013e7i −0.185309 + 0.232370i
\(693\) 5.09670e7 + 1.16329e7i 0.153140 + 0.0349532i
\(694\) −4.97717e8 −1.48903
\(695\) 5.81198e8i 1.73129i
\(696\) 5.91972e8 + 1.35114e8i 1.75579 + 0.400748i
\(697\) 9.90854e7 + 1.24249e8i 0.292625 + 0.366940i
\(698\) −3.87039e7 1.69573e8i −0.113812 0.498644i
\(699\) −1.98455e8 2.48854e8i −0.581071 0.728640i
\(700\) −8.98123e7 1.86497e8i −0.261844 0.543724i
\(701\) −1.47310e8 + 6.45407e8i −0.427639 + 1.87361i 0.0561438 + 0.998423i \(0.482119\pi\)
−0.483783 + 0.875188i \(0.660738\pi\)
\(702\) 4.84573e7 2.33358e7i 0.140071 0.0674545i
\(703\) 9.28497e7 1.16430e8i 0.267248 0.335118i
\(704\) −9.47742e6 4.15233e7i −0.0271626 0.119007i
\(705\) 2.13439e8 + 9.35139e8i 0.609126 + 2.66876i
\(706\) 5.24258e7 1.08863e8i 0.148981 0.309362i
\(707\) −2.15399e8 1.71775e8i −0.609517 0.486073i
\(708\) 1.47488e8 1.17618e8i 0.415582 0.331416i
\(709\) 5.37367e8 + 2.58782e8i 1.50776 + 0.726098i 0.991472 0.130317i \(-0.0415996\pi\)
0.516287 + 0.856416i \(0.327314\pi\)
\(710\) 1.52063e7 3.15761e7i 0.0424862 0.0882235i
\(711\) 1.01925e8 + 1.27810e8i 0.283578 + 0.355596i
\(712\) −4.83049e7 + 6.05725e7i −0.133829 + 0.167817i
\(713\) −1.26814e8 6.10702e7i −0.349862 0.168485i
\(714\) 9.22598e8 2.10577e8i 2.53465 0.578517i
\(715\) −8.12431e7 + 1.85432e7i −0.222264 + 0.0507302i
\(716\) −7.99795e7 6.37815e7i −0.217891 0.173762i
\(717\) −2.49067e8 5.17194e8i −0.675709 1.40312i
\(718\) 1.06428e8 + 2.42915e7i 0.287530 + 0.0656268i
\(719\) 1.06920e8 5.14900e7i 0.287656 0.138528i −0.284492 0.958678i \(-0.591825\pi\)
0.572147 + 0.820151i \(0.306111\pi\)
\(720\) −2.00889e8 + 1.60204e8i −0.538219 + 0.429215i
\(721\) 3.92979e8 8.96949e7i 1.04849 0.239311i
\(722\) 1.99150e8 1.58817e8i 0.529137 0.421973i
\(723\) 3.83964e7 1.68226e8i 0.101596 0.445120i
\(724\) 2.76432e7 0.0728405
\(725\) 5.17065e8i 1.35685i
\(726\) −9.32355e7 + 4.08491e8i −0.243653 + 1.06751i
\(727\) 4.36694e7 + 3.48252e7i 0.113651 + 0.0906338i 0.678666 0.734447i \(-0.262558\pi\)
−0.565015 + 0.825081i \(0.691130\pi\)
\(728\) 7.82779e8 + 3.76966e8i 2.02883 + 0.977031i
\(729\) −2.73728e8 + 1.31821e8i −0.706541 + 0.340252i
\(730\) 2.86468e8i 0.736388i
\(731\) 2.59570e8 5.41987e8i 0.664512 1.38751i
\(732\) −1.62589e8 −0.414531
\(733\) −7.78283e7 1.61612e8i −0.197618 0.410357i 0.778486 0.627662i \(-0.215988\pi\)
−0.976104 + 0.217304i \(0.930274\pi\)
\(734\) 4.72557e7 9.81275e7i 0.119500 0.248143i
\(735\) −6.56449e8 + 8.23161e8i −1.65325 + 2.07311i
\(736\) −5.09464e8 1.16282e8i −1.27785 0.291661i
\(737\) 6.55418e6 0.0163725
\(738\) 8.86066e7i 0.220443i
\(739\) −6.08801e8 1.38955e8i −1.50849 0.344303i −0.613250 0.789889i \(-0.710138\pi\)
−0.895239 + 0.445586i \(0.852995\pi\)
\(740\) −1.38631e8 1.73837e8i −0.342109 0.428991i
\(741\) 6.77553e7 + 2.96855e8i 0.166528 + 0.729609i
\(742\) −9.97670e7 1.25104e8i −0.244217 0.306238i
\(743\) 4.67108e7 + 9.69960e7i 0.113881 + 0.236476i 0.950117 0.311893i \(-0.100963\pi\)
−0.836236 + 0.548369i \(0.815249\pi\)
\(744\) −2.70468e7 + 1.18500e8i −0.0656745 + 0.287739i
\(745\) −4.54667e8 + 2.18956e8i −1.09958 + 0.529528i
\(746\) −1.60545e8 + 2.01317e8i −0.386705 + 0.484912i
\(747\) −8.56463e7 3.75241e8i −0.205469 0.900219i
\(748\) 5.78109e6 + 2.53286e7i 0.0138135 + 0.0605211i
\(749\) 6.82396e7 1.41701e8i 0.162402 0.337231i
\(750\) 6.90826e7 + 5.50915e7i 0.163751 + 0.130587i
\(751\) 5.17093e8 4.12368e8i 1.22081 0.973565i 0.220814 0.975316i \(-0.429129\pi\)
0.999998 + 0.00175085i \(0.000557313\pi\)
\(752\) −2.74505e8 1.32195e8i −0.645501 0.310857i
\(753\) 3.76176e8 7.81137e8i 0.881061 1.82954i
\(754\) 3.51464e8 + 4.40721e8i 0.819910 + 1.02813i
\(755\) −1.16010e8 + 1.45472e8i −0.269559 + 0.338016i
\(756\) 2.95474e7 + 1.42293e7i 0.0683838 + 0.0329319i
\(757\) −1.84927e8