Properties

Label 43.7.d.a.7.6
Level 43
Weight 7
Character 43.7
Analytic conductor 9.892
Analytic rank 0
Dimension 42
CM no
Inner twists 2

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 43.d (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(9.89232559565\)
Analytic rank: \(0\)
Dimension: \(42\)
Relative dimension: \(21\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 7.6
Character \(\chi\) \(=\) 43.7
Dual form 43.7.d.a.37.16

$q$-expansion

\(f(q)\) \(=\) \(q-7.84004i q^{2} +(36.4833 - 21.0637i) q^{3} +2.53376 q^{4} +(-116.673 + 67.3609i) q^{5} +(-165.140 - 286.031i) q^{6} +(-385.031 - 222.298i) q^{7} -521.627i q^{8} +(522.856 - 905.613i) q^{9} +O(q^{10})\) \(q-7.84004i q^{2} +(36.4833 - 21.0637i) q^{3} +2.53376 q^{4} +(-116.673 + 67.3609i) q^{5} +(-165.140 - 286.031i) q^{6} +(-385.031 - 222.298i) q^{7} -521.627i q^{8} +(522.856 - 905.613i) q^{9} +(528.113 + 914.718i) q^{10} -327.603 q^{11} +(92.4399 - 53.3702i) q^{12} +(1051.90 - 1821.95i) q^{13} +(-1742.82 + 3018.66i) q^{14} +(-2837.74 + 4915.10i) q^{15} -3927.42 q^{16} +(2727.39 - 4723.97i) q^{17} +(-7100.05 - 4099.21i) q^{18} +(3872.49 - 2235.78i) q^{19} +(-295.620 + 170.676i) q^{20} -18729.6 q^{21} +2568.42i q^{22} +(8465.56 + 14662.8i) q^{23} +(-10987.4 - 19030.7i) q^{24} +(1262.49 - 2186.70i) q^{25} +(-14284.1 - 8246.95i) q^{26} -13342.2i q^{27} +(-975.575 - 563.248i) q^{28} +(12578.3 + 7262.09i) q^{29} +(38534.6 + 22248.0i) q^{30} +(25798.6 + 44684.4i) q^{31} -2593.02i q^{32} +(-11952.1 + 6900.53i) q^{33} +(-37036.1 - 21382.8i) q^{34} +59896.7 q^{35} +(1324.79 - 2294.60i) q^{36} +(70836.6 - 40897.5i) q^{37} +(-17528.6 - 30360.5i) q^{38} -88627.6i q^{39} +(35137.3 + 60859.6i) q^{40} -18379.1 q^{41} +146841. i q^{42} +(-23774.6 - 75869.2i) q^{43} -830.067 q^{44} +140880. i q^{45} +(114957. - 66370.3i) q^{46} -55823.4 q^{47} +(-143285. + 82725.9i) q^{48} +(40008.1 + 69296.0i) q^{49} +(-17143.8 - 9897.99i) q^{50} -229795. i q^{51} +(2665.26 - 4616.37i) q^{52} +(86428.0 + 149698. i) q^{53} -104604. q^{54} +(38222.3 - 22067.7i) q^{55} +(-115957. + 200843. i) q^{56} +(94187.6 - 163138. i) q^{57} +(56935.0 - 98614.4i) q^{58} +24253.5 q^{59} +(-7190.14 + 12453.7i) q^{60} +(-103219. - 59593.7i) q^{61} +(350328. - 202262. i) q^{62} +(-402632. + 232459. i) q^{63} -271684. q^{64} +283428. i q^{65} +(54100.4 + 93704.7i) q^{66} +(-246132. - 426314. i) q^{67} +(6910.53 - 11969.4i) q^{68} +(617704. + 356631. i) q^{69} -469593. i q^{70} +(318444. + 183854. i) q^{71} +(-472393. - 272736. i) q^{72} +(-517521. - 298791. i) q^{73} +(-320638. - 555361. i) q^{74} -106371. i q^{75} +(9811.95 - 5664.93i) q^{76} +(126137. + 72825.5i) q^{77} -694844. q^{78} +(79931.1 - 138445. i) q^{79} +(458222. - 264555. i) q^{80} +(100126. + 173423. i) q^{81} +144093. i q^{82} +(56714.5 + 98232.4i) q^{83} -47456.3 q^{84} +734877. i q^{85} +(-594817. + 186394. i) q^{86} +611865. q^{87} +170887. i q^{88} +(-255618. + 147581. i) q^{89} +1.10451e6 q^{90} +(-810029. + 467671. i) q^{91} +(21449.7 + 37151.9i) q^{92} +(1.88244e6 + 1.08683e6i) q^{93} +437658. i q^{94} +(-301209. + 521709. i) q^{95} +(-54618.5 - 94602.1i) q^{96} +1.59602e6 q^{97} +(543283. - 313665. i) q^{98} +(-171289. + 296682. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 42q - 3q^{3} - 1194q^{4} - 3q^{5} + 111q^{6} - 147q^{7} + 3852q^{9} + O(q^{10}) \) \( 42q - 3q^{3} - 1194q^{4} - 3q^{5} + 111q^{6} - 147q^{7} + 3852q^{9} - 981q^{10} - 4104q^{11} + 918q^{12} + 4843q^{13} + 2814q^{14} - 163q^{15} + 36678q^{16} + 3641q^{17} - 507q^{18} - 5229q^{19} - 1599q^{20} - 29990q^{21} + 6575q^{23} - 4622q^{24} + 68484q^{25} + 189q^{26} + 48948q^{28} + 95361q^{29} - 85041q^{30} - 79373q^{31} - 79638q^{33} - 184743q^{34} - 80582q^{35} + 59972q^{36} - 66063q^{37} - 69820q^{38} + 189951q^{40} + 40632q^{41} - 368728q^{43} + 130330q^{44} + 34056q^{46} - 247820q^{47} + 326907q^{48} - 21876q^{49} - 28638q^{50} - 617150q^{52} + 11639q^{53} + 655904q^{54} - 43638q^{55} + 553875q^{56} - 422859q^{57} + 587796q^{58} - 649352q^{59} + 875455q^{60} - 52251q^{61} + 1335249q^{62} + 93690q^{63} - 792420q^{64} + 160395q^{66} - 173603q^{67} + 22286q^{68} + 870417q^{69} + 1670505q^{71} - 2068518q^{72} - 2646201q^{73} - 1625030q^{74} - 80622q^{76} - 486066q^{77} + 2835040q^{78} + 1897639q^{79} - 817059q^{80} + 2215367q^{81} + 1584059q^{83} - 824560q^{84} - 2333682q^{86} - 5547198q^{87} + 2736939q^{89} + 1092196q^{90} - 3724131q^{91} + 470257q^{92} + 488433q^{93} - 1289839q^{95} + 1697650q^{96} + 5260848q^{97} + 4722621q^{98} + 1375834q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 7.84004i 0.980005i −0.871721 0.490003i \(-0.836996\pi\)
0.871721 0.490003i \(-0.163004\pi\)
\(3\) 36.4833 21.0637i 1.35123 0.780136i 0.362812 0.931862i \(-0.381817\pi\)
0.988423 + 0.151726i \(0.0484833\pi\)
\(4\) 2.53376 0.0395900
\(5\) −116.673 + 67.3609i −0.933381 + 0.538888i −0.887879 0.460077i \(-0.847822\pi\)
−0.0455014 + 0.998964i \(0.514489\pi\)
\(6\) −165.140 286.031i −0.764537 1.32422i
\(7\) −385.031 222.298i −1.12254 0.648098i −0.180491 0.983577i \(-0.557769\pi\)
−0.942048 + 0.335478i \(0.891102\pi\)
\(8\) 521.627i 1.01880i
\(9\) 522.856 905.613i 0.717224 1.24227i
\(10\) 528.113 + 914.718i 0.528113 + 0.914718i
\(11\) −327.603 −0.246133 −0.123067 0.992398i \(-0.539273\pi\)
−0.123067 + 0.992398i \(0.539273\pi\)
\(12\) 92.4399 53.3702i 0.0534953 0.0308855i
\(13\) 1051.90 1821.95i 0.478790 0.829288i −0.520914 0.853609i \(-0.674409\pi\)
0.999704 + 0.0243205i \(0.00774223\pi\)
\(14\) −1742.82 + 3018.66i −0.635140 + 1.10009i
\(15\) −2837.74 + 4915.10i −0.840811 + 1.45633i
\(16\) −3927.42 −0.958843
\(17\) 2727.39 4723.97i 0.555136 0.961525i −0.442756 0.896642i \(-0.645999\pi\)
0.997893 0.0648826i \(-0.0206673\pi\)
\(18\) −7100.05 4099.21i −1.21743 0.702883i
\(19\) 3872.49 2235.78i 0.564585 0.325963i −0.190399 0.981707i \(-0.560978\pi\)
0.754984 + 0.655743i \(0.227645\pi\)
\(20\) −295.620 + 170.676i −0.0369525 + 0.0213345i
\(21\) −18729.6 −2.02242
\(22\) 2568.42i 0.241212i
\(23\) 8465.56 + 14662.8i 0.695780 + 1.20513i 0.969917 + 0.243436i \(0.0782745\pi\)
−0.274137 + 0.961691i \(0.588392\pi\)
\(24\) −10987.4 19030.7i −0.794805 1.37664i
\(25\) 1262.49 2186.70i 0.0807995 0.139949i
\(26\) −14284.1 8246.95i −0.812707 0.469217i
\(27\) 13342.2i 0.677856i
\(28\) −975.575 563.248i −0.0444413 0.0256582i
\(29\) 12578.3 + 7262.09i 0.515737 + 0.297761i 0.735189 0.677863i \(-0.237094\pi\)
−0.219452 + 0.975623i \(0.570427\pi\)
\(30\) 38534.6 + 22248.0i 1.42721 + 0.823999i
\(31\) 25798.6 + 44684.4i 0.865986 + 1.49993i 0.866065 + 0.499931i \(0.166641\pi\)
−7.95439e−5 1.00000i \(0.500025\pi\)
\(32\) 2593.02i 0.0791328i
\(33\) −11952.1 + 6900.53i −0.332584 + 0.192017i
\(34\) −37036.1 21382.8i −0.942299 0.544037i
\(35\) 59896.7 1.39701
\(36\) 1324.79 2294.60i 0.0283949 0.0491813i
\(37\) 70836.6 40897.5i 1.39847 0.807405i 0.404235 0.914655i \(-0.367538\pi\)
0.994232 + 0.107250i \(0.0342045\pi\)
\(38\) −17528.6 30360.5i −0.319446 0.553296i
\(39\) 88627.6i 1.49408i
\(40\) 35137.3 + 60859.6i 0.549020 + 0.950931i
\(41\) −18379.1 −0.266669 −0.133335 0.991071i \(-0.542569\pi\)
−0.133335 + 0.991071i \(0.542569\pi\)
\(42\) 146841.i 1.98198i
\(43\) −23774.6 75869.2i −0.299025 0.954245i
\(44\) −830.067 −0.00974440
\(45\) 140880.i 1.54601i
\(46\) 114957. 66370.3i 1.18103 0.681868i
\(47\) −55823.4 −0.537678 −0.268839 0.963185i \(-0.586640\pi\)
−0.268839 + 0.963185i \(0.586640\pi\)
\(48\) −143285. + 82725.9i −1.29562 + 0.748027i
\(49\) 40008.1 + 69296.0i 0.340063 + 0.589006i
\(50\) −17143.8 9897.99i −0.137151 0.0791839i
\(51\) 229795.i 1.73233i
\(52\) 2665.26 4616.37i 0.0189553 0.0328315i
\(53\) 86428.0 + 149698.i 0.580533 + 1.00551i 0.995416 + 0.0956378i \(0.0304890\pi\)
−0.414883 + 0.909875i \(0.636178\pi\)
\(54\) −104604. −0.664302
\(55\) 38222.3 22067.7i 0.229736 0.132638i
\(56\) −115957. + 200843.i −0.660285 + 1.14365i
\(57\) 94187.6 163138.i 0.508591 0.880906i
\(58\) 56935.0 98614.4i 0.291807 0.505425i
\(59\) 24253.5 0.118092 0.0590458 0.998255i \(-0.481194\pi\)
0.0590458 + 0.998255i \(0.481194\pi\)
\(60\) −7190.14 + 12453.7i −0.0332877 + 0.0576559i
\(61\) −103219. 59593.7i −0.454749 0.262549i 0.255085 0.966919i \(-0.417897\pi\)
−0.709834 + 0.704369i \(0.751230\pi\)
\(62\) 350328. 202262.i 1.46994 0.848670i
\(63\) −402632. + 232459.i −1.61022 + 0.929663i
\(64\) −271684. −1.03639
\(65\) 283428.i 1.03206i
\(66\) 54100.4 + 93704.7i 0.188178 + 0.325934i
\(67\) −246132. 426314.i −0.818360 1.41744i −0.906890 0.421367i \(-0.861550\pi\)
0.0885307 0.996073i \(-0.471783\pi\)
\(68\) 6910.53 11969.4i 0.0219778 0.0380667i
\(69\) 617704. + 356631.i 1.88032 + 1.08561i
\(70\) 469593.i 1.36908i
\(71\) 318444. + 183854.i 0.889729 + 0.513685i 0.873854 0.486189i \(-0.161613\pi\)
0.0158753 + 0.999874i \(0.494947\pi\)
\(72\) −472393. 272736.i −1.26563 0.730710i
\(73\) −517521. 298791.i −1.33033 0.768066i −0.344980 0.938610i \(-0.612114\pi\)
−0.985350 + 0.170544i \(0.945448\pi\)
\(74\) −320638. 555361.i −0.791261 1.37050i
\(75\) 106371.i 0.252138i
\(76\) 9811.95 5664.93i 0.0223519 0.0129049i
\(77\) 126137. + 72825.5i 0.276294 + 0.159519i
\(78\) −694844. −1.46421
\(79\) 79931.1 138445.i 0.162119 0.280799i −0.773509 0.633785i \(-0.781500\pi\)
0.935629 + 0.352986i \(0.114834\pi\)
\(80\) 458222. 264555.i 0.894965 0.516708i
\(81\) 100126. + 173423.i 0.188404 + 0.326325i
\(82\) 144093.i 0.261337i
\(83\) 56714.5 + 98232.4i 0.0991881 + 0.171799i 0.911349 0.411635i \(-0.135042\pi\)
−0.812161 + 0.583434i \(0.801709\pi\)
\(84\) −47456.3 −0.0800675
\(85\) 734877.i 1.19662i
\(86\) −594817. + 186394.i −0.935165 + 0.293046i
\(87\) 611865. 0.929175
\(88\) 170887.i 0.250761i
\(89\) −255618. + 147581.i −0.362595 + 0.209344i −0.670218 0.742164i \(-0.733800\pi\)
0.307624 + 0.951508i \(0.400466\pi\)
\(90\) 1.10451e6 1.51510
\(91\) −810029. + 467671.i −1.07492 + 0.620606i
\(92\) 21449.7 + 37151.9i 0.0275459 + 0.0477109i
\(93\) 1.88244e6 + 1.08683e6i 2.34030 + 1.35117i
\(94\) 437658.i 0.526928i
\(95\) −301209. + 521709.i −0.351315 + 0.608496i
\(96\) −54618.5 94602.1i −0.0617343 0.106927i
\(97\) 1.59602e6 1.74873 0.874363 0.485272i \(-0.161279\pi\)
0.874363 + 0.485272i \(0.161279\pi\)
\(98\) 543283. 313665.i 0.577229 0.333263i
\(99\) −171289. + 296682.i −0.176533 + 0.305763i
\(100\) 3198.85 5540.57i 0.00319885 0.00554057i
\(101\) −790560. + 1.36929e6i −0.767310 + 1.32902i 0.171707 + 0.985148i \(0.445072\pi\)
−0.939017 + 0.343871i \(0.888262\pi\)
\(102\) −1.80160e6 −1.69769
\(103\) 231603. 401148.i 0.211949 0.367107i −0.740375 0.672194i \(-0.765352\pi\)
0.952325 + 0.305087i \(0.0986855\pi\)
\(104\) −950377. 548701.i −0.844882 0.487793i
\(105\) 2.18523e6 1.26164e6i 1.88769 1.08986i
\(106\) 1.17364e6 677599.i 0.985407 0.568925i
\(107\) 39803.3 0.0324914 0.0162457 0.999868i \(-0.494829\pi\)
0.0162457 + 0.999868i \(0.494829\pi\)
\(108\) 33806.0i 0.0268363i
\(109\) −1.03903e6 1.79965e6i −0.802323 1.38966i −0.918084 0.396387i \(-0.870264\pi\)
0.115761 0.993277i \(-0.463069\pi\)
\(110\) −173011. 299665.i −0.129986 0.225142i
\(111\) 1.72290e6 2.98415e6i 1.25977 2.18199i
\(112\) 1.51218e6 + 873056.i 1.07634 + 0.621424i
\(113\) 2.50088e6i 1.73324i 0.498971 + 0.866619i \(0.333711\pi\)
−0.498971 + 0.866619i \(0.666289\pi\)
\(114\) −1.27901e6 738434.i −0.863293 0.498422i
\(115\) −1.97540e6 1.14050e6i −1.29886 0.749894i
\(116\) 31870.4 + 18400.4i 0.0204180 + 0.0117883i
\(117\) −1.09999e6 1.90523e6i −0.686799 1.18957i
\(118\) 190149.i 0.115730i
\(119\) −2.10026e6 + 1.21258e6i −1.24632 + 0.719566i
\(120\) 2.56385e6 + 1.48024e6i 1.48371 + 0.856621i
\(121\) −1.66424e6 −0.939418
\(122\) −467217. + 809243.i −0.257300 + 0.445656i
\(123\) −670532. + 387132.i −0.360333 + 0.208038i
\(124\) 65367.3 + 113220.i 0.0342843 + 0.0593822i
\(125\) 1.76486e6i 0.903608i
\(126\) 1.82249e6 + 3.15665e6i 0.911074 + 1.57803i
\(127\) 2.18358e6 1.06600 0.533000 0.846115i \(-0.321065\pi\)
0.533000 + 0.846115i \(0.321065\pi\)
\(128\) 1.96406e6i 0.936538i
\(129\) −2.46546e6 2.26718e6i −1.14849 1.05613i
\(130\) 2.22209e6 1.01142
\(131\) 1.42783e6i 0.635128i −0.948237 0.317564i \(-0.897135\pi\)
0.948237 0.317564i \(-0.102865\pi\)
\(132\) −30283.6 + 17484.3i −0.0131670 + 0.00760196i
\(133\) −1.98804e6 −0.845025
\(134\) −3.34232e6 + 1.92969e6i −1.38910 + 0.801997i
\(135\) 898746. + 1.55667e6i 0.365288 + 0.632698i
\(136\) −2.46415e6 1.42268e6i −0.979605 0.565575i
\(137\) 572173.i 0.222518i −0.993791 0.111259i \(-0.964512\pi\)
0.993791 0.111259i \(-0.0354883\pi\)
\(138\) 2.79600e6 4.84282e6i 1.06390 1.84273i
\(139\) 1.99697e6 + 3.45886e6i 0.743580 + 1.28792i 0.950855 + 0.309636i \(0.100207\pi\)
−0.207275 + 0.978283i \(0.566460\pi\)
\(140\) 151764. 0.0553075
\(141\) −2.03662e6 + 1.17585e6i −0.726530 + 0.419462i
\(142\) 1.44142e6 2.49661e6i 0.503414 0.871939i
\(143\) −344606. + 596876.i −0.117846 + 0.204115i
\(144\) −2.05348e6 + 3.55672e6i −0.687705 + 1.19114i
\(145\) −1.95672e6 −0.641838
\(146\) −2.34253e6 + 4.05738e6i −0.752709 + 1.30373i
\(147\) 2.91925e6 + 1.68543e6i 0.919009 + 0.530590i
\(148\) 179483. 103624.i 0.0553653 0.0319651i
\(149\) −2.65414e6 + 1.53237e6i −0.802352 + 0.463238i −0.844293 0.535882i \(-0.819979\pi\)
0.0419408 + 0.999120i \(0.486646\pi\)
\(150\) −833952. −0.247097
\(151\) 3.49807e6i 1.01601i −0.861354 0.508005i \(-0.830383\pi\)
0.861354 0.508005i \(-0.169617\pi\)
\(152\) −1.16625e6 2.02000e6i −0.332093 0.575201i
\(153\) −2.85206e6 4.93991e6i −0.796314 1.37926i
\(154\) 570955. 988923.i 0.156329 0.270770i
\(155\) −6.01997e6 3.47563e6i −1.61659 0.933338i
\(156\) 224561.i 0.0591507i
\(157\) 4.41630e6 + 2.54975e6i 1.14120 + 0.658869i 0.946726 0.322039i \(-0.104368\pi\)
0.194469 + 0.980909i \(0.437702\pi\)
\(158\) −1.08541e6 626663.i −0.275184 0.158878i
\(159\) 6.30636e6 + 3.64098e6i 1.56887 + 0.905789i
\(160\) 174668. + 302535.i 0.0426437 + 0.0738610i
\(161\) 7.52750e6i 1.80374i
\(162\) 1.35964e6 784989.i 0.319801 0.184637i
\(163\) 1.55268e6 + 896439.i 0.358524 + 0.206994i 0.668433 0.743772i \(-0.266965\pi\)
−0.309909 + 0.950766i \(0.600299\pi\)
\(164\) −46568.2 −0.0105574
\(165\) 929652. 1.61020e6i 0.206952 0.358451i
\(166\) 770146. 444644.i 0.168364 0.0972049i
\(167\) −150906. 261376.i −0.0324008 0.0561199i 0.849370 0.527797i \(-0.176982\pi\)
−0.881771 + 0.471678i \(0.843649\pi\)
\(168\) 9.76988e6i 2.06045i
\(169\) 200411. + 347123.i 0.0415205 + 0.0719155i
\(170\) 5.76147e6 1.17270
\(171\) 4.67597e6i 0.935155i
\(172\) −60239.1 192234.i −0.0118384 0.0377785i
\(173\) 6.71660e6 1.29721 0.648606 0.761124i \(-0.275352\pi\)
0.648606 + 0.761124i \(0.275352\pi\)
\(174\) 4.79704e6i 0.910596i
\(175\) −972197. + 561298.i −0.181401 + 0.104732i
\(176\) 1.28664e6 0.236003
\(177\) 884850. 510868.i 0.159569 0.0921275i
\(178\) 1.15704e6 + 2.00406e6i 0.205158 + 0.355345i
\(179\) 3.47756e6 + 2.00777e6i 0.606340 + 0.350070i 0.771532 0.636191i \(-0.219491\pi\)
−0.165192 + 0.986261i \(0.552824\pi\)
\(180\) 356957.i 0.0612065i
\(181\) −4.21134e6 + 7.29425e6i −0.710206 + 1.23011i 0.254573 + 0.967053i \(0.418065\pi\)
−0.964780 + 0.263060i \(0.915268\pi\)
\(182\) 3.66656e6 + 6.35066e6i 0.608197 + 1.05343i
\(183\) −5.02105e6 −0.819296
\(184\) 7.64850e6 4.41587e6i 1.22779 0.708863i
\(185\) −5.50979e6 + 9.54323e6i −0.870201 + 1.50723i
\(186\) 8.52075e6 1.47584e7i 1.32416 2.29351i
\(187\) −893501. + 1.54759e6i −0.136638 + 0.236663i
\(188\) −141443. −0.0212867
\(189\) −2.96595e6 + 5.13717e6i −0.439317 + 0.760920i
\(190\) 4.09022e6 + 2.36149e6i 0.596329 + 0.344291i
\(191\) 3.89200e6 2.24705e6i 0.558564 0.322487i −0.194005 0.981001i \(-0.562148\pi\)
0.752569 + 0.658513i \(0.228814\pi\)
\(192\) −9.91195e6 + 5.72267e6i −1.40041 + 0.808527i
\(193\) −3.37851e6 −0.469951 −0.234976 0.972001i \(-0.575501\pi\)
−0.234976 + 0.972001i \(0.575501\pi\)
\(194\) 1.25128e7i 1.71376i
\(195\) 5.97004e6 + 1.03404e7i 0.805143 + 1.39455i
\(196\) 101371. + 175579.i 0.0134631 + 0.0233187i
\(197\) −6.56487e6 + 1.13707e7i −0.858673 + 1.48726i 0.0145229 + 0.999895i \(0.495377\pi\)
−0.873196 + 0.487370i \(0.837956\pi\)
\(198\) 2.32600e6 + 1.34292e6i 0.299650 + 0.173003i
\(199\) 3.22237e6i 0.408899i 0.978877 + 0.204450i \(0.0655405\pi\)
−0.978877 + 0.204450i \(0.934460\pi\)
\(200\) −1.14064e6 658550.i −0.142580 0.0823188i
\(201\) −1.79595e7 1.03689e7i −2.21159 1.27686i
\(202\) 1.07353e7 + 6.19802e6i 1.30245 + 0.751967i
\(203\) −3.22869e6 5.59226e6i −0.385956 0.668496i
\(204\) 582245.i 0.0685828i
\(205\) 2.14434e6 1.23803e6i 0.248904 0.143705i
\(206\) −3.14502e6 1.81578e6i −0.359767 0.207711i
\(207\) 1.77051e7 1.99612
\(208\) −4.13126e6 + 7.15555e6i −0.459084 + 0.795157i
\(209\) −1.26864e6 + 732450.i −0.138963 + 0.0802304i
\(210\) −9.89135e6 1.71323e7i −1.06806 1.84994i
\(211\) 1.33613e6i 0.142233i 0.997468 + 0.0711167i \(0.0226563\pi\)
−0.997468 + 0.0711167i \(0.977344\pi\)
\(212\) 218988. + 379298.i 0.0229833 + 0.0398082i
\(213\) 1.54905e7 1.60298
\(214\) 312060.i 0.0318417i
\(215\) 7.88446e6 + 7.25037e6i 0.793335 + 0.729533i
\(216\) −6.95968e6 −0.690602
\(217\) 2.29399e7i 2.24498i
\(218\) −1.41094e7 + 8.14605e6i −1.36188 + 0.786280i
\(219\) −2.51745e7 −2.39678
\(220\) 96846.1 55914.1i 0.00909524 0.00525114i
\(221\) −5.73788e6 9.93830e6i −0.531587 0.920737i
\(222\) −2.33959e7 1.35076e7i −2.13836 1.23458i
\(223\) 5.83307e6i 0.525996i 0.964796 + 0.262998i \(0.0847113\pi\)
−0.964796 + 0.262998i \(0.915289\pi\)
\(224\) −576423. + 998394.i −0.0512858 + 0.0888296i
\(225\) −1.32020e6 2.28666e6i −0.115903 0.200749i
\(226\) 1.96070e7 1.69858
\(227\) −6.69092e6 + 3.86301e6i −0.572016 + 0.330254i −0.757954 0.652308i \(-0.773801\pi\)
0.185938 + 0.982561i \(0.440468\pi\)
\(228\) 238648. 413351.i 0.0201351 0.0348750i
\(229\) 4.22606e6 7.31975e6i 0.351908 0.609522i −0.634676 0.772778i \(-0.718866\pi\)
0.986584 + 0.163256i \(0.0521997\pi\)
\(230\) −8.94153e6 + 1.54872e7i −0.734900 + 1.27288i
\(231\) 6.13589e6 0.497784
\(232\) 3.78810e6 6.56119e6i 0.303360 0.525434i
\(233\) 476080. + 274865.i 0.0376367 + 0.0217296i 0.518700 0.854956i \(-0.326416\pi\)
−0.481064 + 0.876686i \(0.659749\pi\)
\(234\) −1.49371e7 + 8.62394e6i −1.16579 + 0.673066i
\(235\) 6.51306e6 3.76032e6i 0.501859 0.289748i
\(236\) 61452.6 0.00467524
\(237\) 6.73457e6i 0.505900i
\(238\) 9.50670e6 + 1.64661e7i 0.705178 + 1.22140i
\(239\) 7.42657e6 + 1.28632e7i 0.543995 + 0.942227i 0.998669 + 0.0515690i \(0.0164222\pi\)
−0.454675 + 0.890658i \(0.650244\pi\)
\(240\) 1.11450e7 1.93037e7i 0.806205 1.39639i
\(241\) 3.46153e6 + 1.99852e6i 0.247296 + 0.142776i 0.618525 0.785765i \(-0.287730\pi\)
−0.371230 + 0.928541i \(0.621064\pi\)
\(242\) 1.30477e7i 0.920635i
\(243\) 1.57292e7 + 9.08127e6i 1.09620 + 0.632889i
\(244\) −261533. 150996.i −0.0180035 0.0103943i
\(245\) −9.33568e6 5.38996e6i −0.634816 0.366511i
\(246\) 3.03513e6 + 5.25700e6i 0.203879 + 0.353128i
\(247\) 9.40729e6i 0.624272i
\(248\) 2.33086e7 1.34572e7i 1.52814 0.882269i
\(249\) 4.13827e6 + 2.38923e6i 0.268053 + 0.154760i
\(250\) −1.38366e7 −0.885540
\(251\) 1.23737e7 2.14319e7i 0.782489 1.35531i −0.147999 0.988988i \(-0.547283\pi\)
0.930488 0.366323i \(-0.119383\pi\)
\(252\) −1.02017e6 + 588996.i −0.0637487 + 0.0368053i
\(253\) −2.77334e6 4.80357e6i −0.171255 0.296622i
\(254\) 1.71193e7i 1.04468i
\(255\) 1.54792e7 + 2.68108e7i 0.933530 + 1.61692i
\(256\) −1.98946e6 −0.118581
\(257\) 2.01647e7i 1.18793i −0.804490 0.593966i \(-0.797561\pi\)
0.804490 0.593966i \(-0.202439\pi\)
\(258\) −1.77748e7 + 1.93293e7i −1.03501 + 1.12553i
\(259\) −3.63657e7 −2.09311
\(260\) 718138.i 0.0408590i
\(261\) 1.31533e7 7.59405e6i 0.739797 0.427122i
\(262\) −1.11942e7 −0.622429
\(263\) −527604. + 304613.i −0.0290029 + 0.0167448i −0.514431 0.857532i \(-0.671997\pi\)
0.485428 + 0.874276i \(0.338664\pi\)
\(264\) 3.59950e6 + 6.23452e6i 0.195628 + 0.338838i
\(265\) −2.01676e7 1.16437e7i −1.08372 0.625684i
\(266\) 1.55863e7i 0.828129i
\(267\) −6.21720e6 + 1.07685e7i −0.326634 + 0.565746i
\(268\) −623639. 1.08018e6i −0.0323988 0.0561164i
\(269\) −2.04452e7 −1.05035 −0.525174 0.850995i \(-0.676000\pi\)
−0.525174 + 0.850995i \(0.676000\pi\)
\(270\) 1.22044e7 7.04620e6i 0.620047 0.357984i
\(271\) −4.31298e6 + 7.47030e6i −0.216705 + 0.375345i −0.953799 0.300446i \(-0.902864\pi\)
0.737093 + 0.675791i \(0.236198\pi\)
\(272\) −1.07116e7 + 1.85530e7i −0.532289 + 0.921951i
\(273\) −1.97017e7 + 3.41244e7i −0.968314 + 1.67717i
\(274\) −4.48586e6 −0.218069
\(275\) −413597. + 716370.i −0.0198874 + 0.0344461i
\(276\) 1.56511e6 + 903617.i 0.0744420 + 0.0429791i
\(277\) 1.52684e7 8.81522e6i 0.718380 0.414757i −0.0957761 0.995403i \(-0.530533\pi\)
0.814156 + 0.580646i \(0.197200\pi\)
\(278\) 2.71176e7 1.56563e7i 1.26217 0.728712i
\(279\) 5.39558e7 2.48442
\(280\) 3.12438e7i 1.42328i
\(281\) 9.50646e6 + 1.64657e7i 0.428450 + 0.742097i 0.996736 0.0807343i \(-0.0257265\pi\)
−0.568286 + 0.822831i \(0.692393\pi\)
\(282\) 9.21867e6 + 1.59672e7i 0.411075 + 0.712003i
\(283\) 4.62910e6 8.01783e6i 0.204238 0.353751i −0.745652 0.666336i \(-0.767862\pi\)
0.949890 + 0.312585i \(0.101195\pi\)
\(284\) 806859. + 465841.i 0.0352243 + 0.0203368i
\(285\) 2.53783e7i 1.09629i
\(286\) 4.67953e6 + 2.70173e6i 0.200034 + 0.115490i
\(287\) 7.07653e6 + 4.08564e6i 0.299347 + 0.172828i
\(288\) −2.34828e6 1.35578e6i −0.0983041 0.0567559i
\(289\) −2.80848e6 4.86443e6i −0.116353 0.201529i
\(290\) 1.53408e7i 0.629005i
\(291\) 5.82280e7 3.36179e7i 2.36294 1.36424i
\(292\) −1.31127e6 757063.i −0.0526677 0.0304077i
\(293\) −4.55625e6 −0.181136 −0.0905680 0.995890i \(-0.528868\pi\)
−0.0905680 + 0.995890i \(0.528868\pi\)
\(294\) 1.32139e7 2.28871e7i 0.519981 0.900634i
\(295\) −2.82972e6 + 1.63374e6i −0.110224 + 0.0636381i
\(296\) −2.13333e7 3.69503e7i −0.822587 1.42476i
\(297\) 4.37096e6i 0.166843i
\(298\) 1.20138e7 + 2.08086e7i 0.453976 + 0.786309i
\(299\) 3.56197e7 1.33253
\(300\) 269518.i 0.00998215i
\(301\) −7.71159e6 + 3.44970e7i −0.282777 + 1.26498i
\(302\) −2.74250e7 −0.995695
\(303\) 6.66083e7i 2.39442i
\(304\) −1.52089e7 + 8.78086e6i −0.541348 + 0.312548i
\(305\) 1.60571e7 0.565938
\(306\) −3.87291e7 + 2.23603e7i −1.35168 + 0.780392i
\(307\) −7.90956e6 1.36998e7i −0.273361 0.473476i 0.696359 0.717694i \(-0.254802\pi\)
−0.969720 + 0.244218i \(0.921469\pi\)
\(308\) 319602. + 184522.i 0.0109385 + 0.00631533i
\(309\) 1.95136e7i 0.661397i
\(310\) −2.72491e7 + 4.71968e7i −0.914676 + 1.58426i
\(311\) 1.43630e7 + 2.48774e7i 0.477489 + 0.827035i 0.999667 0.0258012i \(-0.00821370\pi\)
−0.522178 + 0.852836i \(0.674880\pi\)
\(312\) −4.62306e7 −1.52218
\(313\) 3.76377e7 2.17301e7i 1.22741 0.708647i 0.260924 0.965359i \(-0.415973\pi\)
0.966488 + 0.256713i \(0.0826394\pi\)
\(314\) 1.99902e7 3.46240e7i 0.645695 1.11838i
\(315\) 3.13174e7 5.42433e7i 1.00197 1.73546i
\(316\) 202526. 350785.i 0.00641829 0.0111168i
\(317\) −6.09350e7 −1.91289 −0.956443 0.291920i \(-0.905706\pi\)
−0.956443 + 0.291920i \(0.905706\pi\)
\(318\) 2.85454e7 4.94421e7i 0.887678 1.53750i
\(319\) −4.12069e6 2.37908e6i −0.126940 0.0732888i
\(320\) 3.16981e7 1.83009e7i 0.967349 0.558499i
\(321\) 1.45216e6 838404.i 0.0439035 0.0253477i
\(322\) −5.90159e7 −1.76767
\(323\) 2.43914e7i 0.723817i
\(324\) 253694. + 439411.i 0.00745891 + 0.0129192i
\(325\) −2.65603e6 4.60039e6i −0.0773720 0.134012i
\(326\) 7.02812e6 1.21731e7i 0.202855 0.351356i
\(327\) −7.58147e7 4.37716e7i −2.16825 1.25184i
\(328\) 9.58705e6i 0.271684i
\(329\) 2.14937e7 + 1.24094e7i 0.603565 + 0.348468i
\(330\) −1.26241e7 7.28851e6i −0.351283 0.202814i
\(331\) −5.50411e7 3.17780e7i −1.51776 0.876279i −0.999782 0.0208860i \(-0.993351\pi\)
−0.517979 0.855394i \(-0.673315\pi\)
\(332\) 143701. + 248897.i 0.00392685 + 0.00680151i
\(333\) 8.55340e7i 2.31636i
\(334\) −2.04920e6 + 1.18311e6i −0.0549978 + 0.0317530i
\(335\) 5.74338e7 + 3.31594e7i 1.52768 + 0.882007i
\(336\) 7.35591e7 1.93918
\(337\) −1.63553e7 + 2.83282e7i −0.427336 + 0.740167i −0.996635 0.0819630i \(-0.973881\pi\)
0.569300 + 0.822130i \(0.307214\pi\)
\(338\) 2.72146e6 1.57123e6i 0.0704776 0.0406903i
\(339\) 5.26778e7 + 9.12405e7i 1.35216 + 2.34201i
\(340\) 1.86200e6i 0.0473743i
\(341\) −8.45170e6 1.46388e7i −0.213148 0.369183i
\(342\) −3.66598e7 −0.916456
\(343\) 1.67314e7i 0.414620i
\(344\) −3.95754e7 + 1.24015e7i −0.972188 + 0.304648i
\(345\) −9.60921e7 −2.34008
\(346\) 5.26584e7i 1.27127i
\(347\) 1.22705e7 7.08436e6i 0.293679 0.169556i −0.345921 0.938264i \(-0.612433\pi\)
0.639600 + 0.768708i \(0.279100\pi\)
\(348\) 1.55032e6 0.0367860
\(349\) 7.53804e6 4.35209e6i 0.177330 0.102382i −0.408708 0.912665i \(-0.634020\pi\)
0.586038 + 0.810284i \(0.300687\pi\)
\(350\) 4.40060e6 + 7.62206e6i 0.102638 + 0.177774i
\(351\) −2.43088e7 1.40347e7i −0.562138 0.324551i
\(352\) 849483.i 0.0194772i
\(353\) −3.74563e7 + 6.48762e7i −0.851531 + 1.47490i 0.0282946 + 0.999600i \(0.490992\pi\)
−0.879826 + 0.475296i \(0.842341\pi\)
\(354\) −4.00523e6 6.93726e6i −0.0902854 0.156379i
\(355\) −4.95382e7 −1.10727
\(356\) −647674. + 373935.i −0.0143551 + 0.00828793i
\(357\) −5.10829e7 + 8.84782e7i −1.12272 + 1.94461i
\(358\) 1.57410e7 2.72642e7i 0.343071 0.594216i
\(359\) −1.21301e7 + 2.10099e7i −0.262168 + 0.454088i −0.966818 0.255467i \(-0.917771\pi\)
0.704650 + 0.709555i \(0.251104\pi\)
\(360\) 7.34870e7 1.57508
\(361\) −1.35255e7 + 2.34268e7i −0.287496 + 0.497957i
\(362\) 5.71872e7 + 3.30171e7i 1.20552 + 0.696006i
\(363\) −6.07169e7 + 3.50549e7i −1.26937 + 0.732874i
\(364\) −2.05242e6 + 1.18496e6i −0.0425561 + 0.0245698i
\(365\) 8.05073e7 1.65561
\(366\) 3.93652e7i 0.802914i
\(367\) 3.99405e6 + 6.91790e6i 0.0808008 + 0.139951i 0.903594 0.428390i \(-0.140919\pi\)
−0.822793 + 0.568341i \(0.807586\pi\)
\(368\) −3.32478e7 5.75869e7i −0.667144 1.15553i
\(369\) −9.60963e6 + 1.66444e7i −0.191262 + 0.331275i
\(370\) 7.48193e7 + 4.31970e7i 1.47710 + 0.852802i
\(371\) 7.68510e7i 1.50497i
\(372\) 4.76964e6 + 2.75375e6i 0.0926524 + 0.0534929i
\(373\) −1.48835e7 8.59297e6i −0.286799 0.165583i 0.349699 0.936862i \(-0.386284\pi\)
−0.636497 + 0.771279i \(0.719617\pi\)
\(374\) 1.21332e7 + 7.00508e6i 0.231931 + 0.133905i
\(375\) −3.71744e7 6.43879e7i −0.704937 1.22099i
\(376\) 2.91190e7i 0.547789i
\(377\) 2.64623e7 1.52780e7i 0.493859 0.285130i
\(378\) 4.02757e7 + 2.32532e7i 0.745705 + 0.430533i
\(379\) −1.20939e7 −0.222152 −0.111076 0.993812i \(-0.535430\pi\)
−0.111076 + 0.993812i \(0.535430\pi\)
\(380\) −763190. + 1.32188e6i −0.0139086 + 0.0240903i
\(381\) 7.96641e7 4.59941e7i 1.44042 0.831624i
\(382\) −1.76170e7 3.05135e7i −0.316039 0.547396i
\(383\) 7.58296e7i 1.34972i −0.737947 0.674858i \(-0.764205\pi\)
0.737947 0.674858i \(-0.235795\pi\)
\(384\) 4.13704e7 + 7.16556e7i 0.730627 + 1.26548i
\(385\) −1.96224e7 −0.343850
\(386\) 2.64876e7i 0.460555i
\(387\) −8.11388e7 1.81381e7i −1.39990 0.312938i
\(388\) 4.04392e6 0.0692320
\(389\) 1.37218e7i 0.233111i 0.993184 + 0.116556i \(0.0371853\pi\)
−0.993184 + 0.116556i \(0.962815\pi\)
\(390\) 8.10692e7 4.68053e7i 1.36667 0.789045i
\(391\) 9.23553e7 1.54501
\(392\) 3.61467e7 2.08693e7i 0.600081 0.346457i
\(393\) −3.00752e7 5.20918e7i −0.495486 0.858207i
\(394\) 8.91467e7 + 5.14689e7i 1.45753 + 0.841504i
\(395\) 2.15369e7i 0.349456i
\(396\) −434006. + 751720.i −0.00698892 + 0.0121052i
\(397\) 5.27569e6 + 9.13777e6i 0.0843156 + 0.146039i 0.905099 0.425200i \(-0.139796\pi\)
−0.820784 + 0.571239i \(0.806463\pi\)
\(398\) 2.52635e7 0.400723
\(399\) −7.25303e7 + 4.18754e7i −1.14183 + 0.659234i
\(400\) −4.95834e6 + 8.58809e6i −0.0774740 + 0.134189i
\(401\) 2.00306e7 3.46941e7i 0.310643 0.538049i −0.667859 0.744288i \(-0.732789\pi\)
0.978502 + 0.206239i \(0.0661224\pi\)
\(402\) −8.12926e7 + 1.40803e8i −1.25133 + 2.16737i
\(403\) 1.08550e8 1.65850
\(404\) −2.00309e6 + 3.46945e6i −0.0303778 + 0.0526158i
\(405\) −2.33638e7 1.34891e7i −0.351705 0.203057i
\(406\) −4.38435e7 + 2.53131e7i −0.655130 + 0.378239i
\(407\) −2.32063e7 + 1.33982e7i −0.344209 + 0.198729i
\(408\) −1.19867e8 −1.76490
\(409\) 1.15542e8i 1.68876i −0.535743 0.844381i \(-0.679968\pi\)
0.535743 0.844381i \(-0.320032\pi\)
\(410\) −9.70624e6 1.68117e7i −0.140831 0.243927i
\(411\) −1.20521e7 2.08748e7i −0.173594 0.300674i
\(412\) 586825. 1.01641e6i 0.00839107 0.0145338i
\(413\) −9.33836e6 5.39151e6i −0.132562 0.0765350i
\(414\) 1.38808e8i 1.95621i
\(415\) −1.32340e7 7.64068e6i −0.185161 0.106902i
\(416\) −4.72435e6 2.72760e6i −0.0656239 0.0378880i
\(417\) 1.45712e8 + 8.41271e7i 2.00950 + 1.16019i
\(418\) 5.74244e6 + 9.94619e6i 0.0786262 + 0.136185i
\(419\) 7.07193e7i 0.961382i −0.876890 0.480691i \(-0.840386\pi\)
0.876890 0.480691i \(-0.159614\pi\)
\(420\) 5.53685e6 3.19670e6i 0.0747334 0.0431474i
\(421\) −1.43862e7 8.30589e6i −0.192797 0.111311i 0.400494 0.916299i \(-0.368838\pi\)
−0.593291 + 0.804988i \(0.702172\pi\)
\(422\) 1.04753e7 0.139390
\(423\) −2.91876e7 + 5.05544e7i −0.385636 + 0.667941i
\(424\) 7.80864e7 4.50832e7i 1.02442 0.591449i
\(425\) −6.88661e6 1.19279e7i −0.0897095 0.155381i
\(426\) 1.21446e8i 1.57093i
\(427\) 2.64951e7 + 4.58908e7i 0.340315 + 0.589443i
\(428\) 100852. 0.00128633
\(429\) 2.90347e7i 0.367744i
\(430\) 5.68432e7 6.18145e7i 0.714946 0.777472i
\(431\) 1.56678e8 1.95693 0.978466 0.206410i \(-0.0661782\pi\)
0.978466 + 0.206410i \(0.0661782\pi\)
\(432\) 5.24006e7i 0.649957i
\(433\) −4.57815e7 + 2.64319e7i −0.563931 + 0.325586i −0.754722 0.656045i \(-0.772228\pi\)
0.190791 + 0.981631i \(0.438895\pi\)
\(434\) −1.79849e8 −2.20009
\(435\) −7.13878e7 + 4.12158e7i −0.867274 + 0.500721i
\(436\) −2.63265e6 4.55989e6i −0.0317639 0.0550167i
\(437\) 6.55656e7 + 3.78543e7i 0.785654 + 0.453598i
\(438\) 1.97369e8i 2.34886i
\(439\) −6.53778e7 + 1.13238e8i −0.772746 + 1.33844i 0.163307 + 0.986575i \(0.447784\pi\)
−0.936053 + 0.351860i \(0.885549\pi\)
\(440\) −1.15111e7 1.99378e7i −0.135132 0.234056i
\(441\) 8.36738e7 0.975604
\(442\) −7.79167e7 + 4.49852e7i −0.902326 + 0.520958i
\(443\) 4.06510e7 7.04095e7i 0.467584 0.809879i −0.531730 0.846914i \(-0.678458\pi\)
0.999314 + 0.0370347i \(0.0117912\pi\)
\(444\) 4.36542e6 7.56112e6i 0.0498743 0.0863848i
\(445\) 1.98824e7 3.44373e7i 0.225626 0.390796i
\(446\) 4.57315e7 0.515479
\(447\) −6.45546e7 + 1.11812e8i −0.722777 + 1.25189i
\(448\) 1.04607e8 + 6.03948e7i 1.16339 + 0.671685i
\(449\) 1.15268e7 6.65499e6i 0.127341 0.0735205i −0.434976 0.900442i \(-0.643243\pi\)
0.562317 + 0.826921i \(0.309910\pi\)
\(450\) −1.79275e7 + 1.03504e7i −0.196735 + 0.113585i
\(451\) 6.02106e6 0.0656362
\(452\) 6.33663e6i 0.0686188i
\(453\) −7.36823e7 1.27621e8i −0.792626 1.37287i
\(454\) 3.02861e7 + 5.24571e7i 0.323650 + 0.560579i
\(455\) 6.30055e7 1.09129e8i 0.668873 1.15852i
\(456\) −8.50971e7 4.91308e7i −0.897470 0.518155i
\(457\) 8.86056e7i 0.928351i 0.885743 + 0.464176i \(0.153649\pi\)
−0.885743 + 0.464176i \(0.846351\pi\)
\(458\) −5.73871e7 3.31325e7i −0.597335 0.344871i
\(459\) −6.30283e7 3.63894e7i −0.651775 0.376303i
\(460\) −5.00517e6 2.88974e6i −0.0514216 0.0296883i
\(461\) 4.90045e7 + 8.48782e7i 0.500187 + 0.866350i 1.00000 0.000216483i \(6.89085e-5\pi\)
−0.499813 + 0.866134i \(0.666598\pi\)
\(462\) 4.81056e7i 0.487831i
\(463\) −1.32217e8 + 7.63354e7i −1.33212 + 0.769100i −0.985624 0.168951i \(-0.945962\pi\)
−0.346496 + 0.938051i \(0.612629\pi\)
\(464\) −4.94003e7 2.85213e7i −0.494510 0.285506i
\(465\) −2.92838e8 −2.91252
\(466\) 2.15495e6 3.73248e6i 0.0212951 0.0368842i
\(467\) −3.05612e7 + 1.76445e7i −0.300068 + 0.173244i −0.642473 0.766308i \(-0.722092\pi\)
0.342405 + 0.939552i \(0.388758\pi\)
\(468\) −2.78710e6 4.82740e6i −0.0271903 0.0470951i
\(469\) 2.18859e8i 2.12151i
\(470\) −2.94810e7 5.10626e7i −0.283955 0.491824i
\(471\) 2.14829e8 2.05603
\(472\) 1.26513e7i 0.120312i
\(473\) 7.78864e6 + 2.48550e7i 0.0736000 + 0.234871i
\(474\) −5.27993e7 −0.495784
\(475\) 1.12906e7i 0.105351i
\(476\) −5.32154e6 + 3.07239e6i −0.0493420 + 0.0284876i
\(477\) 1.80758e8 1.66549
\(478\) 1.00848e8 5.82246e7i 0.923387 0.533118i
\(479\) −8.04562e7 1.39354e8i −0.732070 1.26798i −0.955997 0.293377i \(-0.905221\pi\)
0.223927 0.974606i \(-0.428112\pi\)
\(480\) 1.27450e7 + 7.35831e6i 0.115243 + 0.0665357i
\(481\) 1.72081e8i 1.54631i
\(482\) 1.56684e7 2.71385e7i 0.139922 0.242351i
\(483\) −1.58557e8 2.74628e8i −1.40716 2.43727i
\(484\) −4.21677e6 −0.0371915
\(485\) −1.86211e8 + 1.07509e8i −1.63223 + 0.942367i
\(486\) 7.11975e7 1.23318e8i 0.620235 1.07428i
\(487\) −1.93829e7 + 3.35722e7i −0.167816 + 0.290665i −0.937652 0.347577i \(-0.887005\pi\)
0.769836 + 0.638242i \(0.220338\pi\)
\(488\) −3.10857e7 + 5.38420e7i −0.267486 + 0.463299i
\(489\) 7.55292e7 0.645934
\(490\) −4.22575e7 + 7.31921e7i −0.359183 + 0.622123i
\(491\) 1.51321e8 + 8.73655e7i 1.27837 + 0.738066i 0.976548 0.215299i \(-0.0690725\pi\)
0.301820 + 0.953365i \(0.402406\pi\)
\(492\) −1.69896e6 + 980898.i −0.0142656 + 0.00823623i
\(493\) 6.86117e7 3.96130e7i 0.572608 0.330596i
\(494\) −7.37536e7 −0.611790
\(495\) 4.61529e7i 0.380525i
\(496\) −1.01322e8 1.75495e8i −0.830344 1.43820i
\(497\) −8.17405e7 1.41579e8i −0.665837 1.15326i
\(498\) 1.87317e7 3.24442e7i 0.151666 0.262693i
\(499\) −3.69885e7 2.13553e7i −0.297690 0.171872i 0.343714 0.939074i \(-0.388315\pi\)
−0.641405 + 0.767203i \(0.721648\pi\)
\(500\) 4.47172e6i 0.0357738i
\(501\) −1.10111e7 6.35726e6i −0.0875623 0.0505541i
\(502\) −1.68027e8 9.70103e7i −1.32821 0.766843i
\(503\) −7.29923e7 4.21421e7i −0.573552 0.331141i 0.185015 0.982736i \(-0.440767\pi\)
−0.758567 + 0.651595i \(0.774100\pi\)
\(504\) 1.21257e8 + 2.10024e8i 0.947144 + 1.64050i
\(505\) 2.13011e8i 1.65397i
\(506\) −3.76602e7 + 2.17431e7i −0.290691 + 0.167830i
\(507\) 1.46233e7 + 8.44279e6i 0.112208 + 0.0647832i
\(508\) 5.53265e6 0.0422029
\(509\) −2.60794e7 + 4.51709e7i −0.197763 + 0.342535i −0.947803 0.318857i \(-0.896701\pi\)
0.750040 + 0.661393i \(0.230034\pi\)
\(510\) 2.10198e8 1.21358e8i 1.58459 0.914864i
\(511\) 1.32841e8 + 2.30087e8i 0.995565 + 1.72437i
\(512\) 1.41297e8i 1.05275i
\(513\) −2.98303e7 5.16677e7i −0.220956 0.382707i
\(514\) −1.58092e8 −1.16418
\(515\) 6.24039e7i 0.456868i
\(516\) −6.24688e6 5.74449e6i −0.0454688 0.0418121i
\(517\) 1.82879e7 0.132341
\(518\) 2.85108e8i 2.05126i
\(519\) 2.45044e8 1.41476e8i 1.75284 1.01200i
\(520\) 1.47844e8 1.05146
\(521\) 7.34341e7 4.23972e7i 0.519259 0.299795i −0.217372 0.976089i \(-0.569749\pi\)
0.736632 + 0.676294i \(0.236415\pi\)
\(522\) −5.95377e7 1.03122e8i −0.418582 0.725005i
\(523\) 3.93149e7 + 2.26985e7i 0.274823 + 0.158669i 0.631077 0.775720i \(-0.282613\pi\)
−0.356255 + 0.934389i \(0.615946\pi\)
\(524\) 3.61776e6i 0.0251447i
\(525\) −2.36460e7 + 4.09561e7i −0.163410 + 0.283035i
\(526\) 2.38817e6 + 4.13644e6i 0.0164100 + 0.0284230i
\(527\) 2.81451e8 1.92296
\(528\) 4.69408e7 2.71013e7i 0.318896 0.184114i
\(529\) −6.93133e7 + 1.20054e8i −0.468220 + 0.810980i
\(530\) −9.12874e7 + 1.58114e8i −0.613173 + 1.06205i
\(531\) 1.26811e7 2.19643e7i 0.0846981 0.146701i
\(532\) −5.03721e6 −0.0334545
\(533\) −1.93330e7 + 3.34858e7i −0.127679 + 0.221146i
\(534\) 8.44255e7 + 4.87431e7i 0.554434 + 0.320103i
\(535\) −4.64396e6 + 2.68119e6i −0.0303268 + 0.0175092i
\(536\) −2.22377e8 + 1.28389e8i −1.44409 + 0.833748i
\(537\) 1.69164e8 1.09241
\(538\) 1.60291e8i 1.02935i
\(539\) −1.31068e7 2.27016e7i −0.0837008 0.144974i
\(540\) 2.27720e6 + 3.94423e6i 0.0144617 + 0.0250485i
\(541\) 2.84147e7 4.92158e7i 0.179453 0.310822i −0.762240 0.647294i \(-0.775900\pi\)
0.941693 + 0.336472i \(0.109234\pi\)
\(542\) 5.85675e7 + 3.38140e7i 0.367840 + 0.212372i
\(543\) 3.54825e8i 2.21623i
\(544\) −1.22494e7 7.07217e6i −0.0760881 0.0439295i
\(545\) 2.42453e8 + 1.39980e8i 1.49774 + 0.864723i
\(546\) 2.67536e8 + 1.54462e8i 1.64363 + 0.948952i
\(547\) −4.20473e7 7.28280e7i −0.256907 0.444976i 0.708505 0.705706i \(-0.249370\pi\)
−0.965412 + 0.260730i \(0.916037\pi\)
\(548\) 1.44975e6i 0.00880948i
\(549\) −1.07938e8 + 6.23178e7i −0.652313 + 0.376613i
\(550\) 5.61637e6 + 3.24261e6i 0.0337573 + 0.0194898i
\(551\) 6.49458e7 0.388236
\(552\) 1.86029e8 3.22211e8i 1.10602 1.91568i
\(553\) −6.15519e7 + 3.55370e7i −0.363970 + 0.210138i
\(554\) −6.91117e7 1.19705e8i −0.406464 0.704016i
\(555\) 4.64225e8i 2.71550i
\(556\) 5.05984e6 + 8.76391e6i 0.0294383 + 0.0509886i
\(557\) −2.21356e8 −1.28093 −0.640466 0.767987i \(-0.721259\pi\)
−0.640466 + 0.767987i \(0.721259\pi\)
\(558\) 4.23015e8i 2.43475i
\(559\) −1.63238e8 3.64908e7i −0.934515 0.208905i
\(560\) −2.35240e8 −1.33951
\(561\) 7.52816e7i 0.426383i
\(562\) 1.29092e8 7.45311e7i 0.727259 0.419883i
\(563\) −6.90867e7 −0.387141 −0.193571 0.981086i \(-0.562007\pi\)
−0.193571 + 0.981086i \(0.562007\pi\)
\(564\) −5.16031e6 + 2.97931e6i −0.0287633 + 0.0166065i
\(565\) −1.68462e8 2.91784e8i −0.934020 1.61777i
\(566\) −6.28601e7 3.62923e7i −0.346678 0.200155i
\(567\) 8.90308e7i 0.488417i
\(568\) 9.59031e7 1.66109e8i 0.523344 0.906459i
\(569\) −8.22776e7 1.42509e8i −0.446627 0.773581i 0.551537 0.834151i \(-0.314042\pi\)
−0.998164 + 0.0605697i \(0.980708\pi\)
\(570\) 1.98967e8 1.07437
\(571\) 2.56517e7 1.48100e7i 0.137787 0.0795514i −0.429522 0.903056i \(-0.641318\pi\)
0.567309 + 0.823505i \(0.307985\pi\)
\(572\) −873149. + 1.51234e6i −0.00466552 + 0.00808092i
\(573\) 9.46622e7 1.63960e8i 0.503168 0.871512i
\(574\) 3.20316e7 5.54803e7i 0.169372 0.293361i
\(575\) 4.27508e7 0.224875
\(576\) −1.42052e8 + 2.46041e8i −0.743326 + 1.28748i
\(577\) 1.23899e8 + 7.15332e7i 0.644972 + 0.372375i 0.786527 0.617555i \(-0.211877\pi\)
−0.141555 + 0.989930i \(0.545210\pi\)
\(578\) −3.81373e7 + 2.20186e7i −0.197500 + 0.114027i
\(579\) −1.23259e8 + 7.11638e7i −0.635015 + 0.366626i
\(580\) −4.95786e6 −0.0254103
\(581\) 5.04300e7i 0.257135i
\(582\) −2.63566e8 4.56510e8i −1.33697 2.31569i
\(583\) −2.83141e7 4.90415e7i −0.142888 0.247490i
\(584\) −1.55857e8 + 2.69953e8i −0.782509 + 1.35534i
\(585\) 2.56676e8 + 1.48192e8i 1.28209 + 0.740215i
\(586\) 3.57212e7i 0.177514i
\(587\) 1.46436e8 + 8.45448e7i 0.723991 + 0.417996i 0.816220 0.577742i \(-0.196066\pi\)
−0.0922289 + 0.995738i \(0.529399\pi\)
\(588\) 7.39668e6 + 4.27048e6i 0.0363835 + 0.0210061i
\(589\) 1.99809e8 + 1.15360e8i 0.977845 + 0.564559i
\(590\) 1.28086e7 + 2.21851e7i 0.0623657 + 0.108020i
\(591\) 5.53121e8i 2.67952i
\(592\) −2.78205e8 + 1.60622e8i −1.34091 + 0.774175i
\(593\) −8.19797e7 4.73310e7i −0.393135 0.226977i 0.290382 0.956911i \(-0.406217\pi\)
−0.683518 + 0.729934i \(0.739551\pi\)
\(594\) 3.42685e7 0.163507
\(595\) 1.63361e8 2.82950e8i 0.775530 1.34326i
\(596\) −6.72495e6 + 3.88265e6i −0.0317651 + 0.0183396i
\(597\) 6.78750e7 + 1.17563e8i 0.318997 + 0.552519i
\(598\) 2.79260e8i 1.30589i
\(599\) −1.51159e8 2.61815e8i −0.703321 1.21819i −0.967294 0.253658i \(-0.918366\pi\)
0.263972 0.964530i \(-0.414967\pi\)
\(600\) −5.54859e7 −0.256879
\(601\) 6.20051e7i 0.285630i 0.989749 + 0.142815i \(0.0456154\pi\)
−0.989749 + 0.142815i \(0.954385\pi\)
\(602\) 2.70458e8 + 6.04592e7i 1.23968 + 0.277123i
\(603\) −5.14767e8 −2.34779
\(604\) 8.86327e6i 0.0402238i
\(605\) 1.94171e8 1.12105e8i 0.876835 0.506241i
\(606\) 5.22212e8 2.34655
\(607\) −1.28816e8 + 7.43717e7i −0.575973 + 0.332538i −0.759532 0.650470i \(-0.774572\pi\)
0.183558 + 0.983009i \(0.441238\pi\)
\(608\) −5.79743e6 1.00415e7i −0.0257944 0.0446772i
\(609\) −2.35587e8 1.36016e8i −1.04304 0.602197i
\(610\) 1.25889e8i 0.554622i
\(611\) −5.87207e7 + 1.01707e8i −0.257435 + 0.445890i
\(612\) −7.22643e6 1.25165e7i −0.0315260 0.0546047i
\(613\) −1.69967e8 −0.737875 −0.368937 0.929454i \(-0.620278\pi\)
−0.368937 + 0.929454i \(0.620278\pi\)
\(614\) −1.07407e8 + 6.20113e7i −0.464009 + 0.267895i
\(615\) 5.21551e7 9.03353e7i 0.224219 0.388358i
\(616\) 3.79878e7 6.57967e7i 0.162518 0.281490i
\(617\) −8.77316e7 + 1.51956e8i −0.373508 + 0.646936i −0.990103 0.140346i \(-0.955179\pi\)
0.616594 + 0.787281i \(0.288512\pi\)
\(618\) −1.52988e8 −0.648173
\(619\) 1.70453e8 2.95233e8i 0.718675 1.24478i −0.242849 0.970064i \(-0.578082\pi\)
0.961525 0.274718i \(-0.0885846\pi\)
\(620\) −1.52532e7 8.80641e6i −0.0640007 0.0369508i
\(621\) 1.95634e8 1.12949e8i 0.816902 0.471639i
\(622\) 1.95040e8 1.12606e8i 0.810499 0.467942i
\(623\) 1.31228e8 0.542702
\(624\) 3.48078e8i 1.43259i
\(625\) 1.38609e8 + 2.40078e8i 0.567742 + 0.983359i
\(626\) −1.70365e8 2.95081e8i −0.694477 1.20287i
\(627\) −3.08562e7 + 5.34444e7i −0.125181 + 0.216820i
\(628\) 1.11898e7 + 6.46046e6i 0.0451799 + 0.0260846i
\(629\) 4.46173e8i 1.79288i
\(630\) −4.25270e8 2.45529e8i −1.70076 0.981933i
\(631\) −1.46112e7 8.43577e6i −0.0581564 0.0335766i 0.470640 0.882325i \(-0.344023\pi\)
−0.528796 + 0.848749i \(0.677356\pi\)
\(632\) −7.22165e7 4.16942e7i −0.286079 0.165168i
\(633\) 2.81438e7 + 4.87465e7i 0.110961 + 0.192191i
\(634\) 4.77733e8i 1.87464i
\(635\) −2.54763e8 + 1.47088e8i −0.994983 + 0.574454i
\(636\) 1.59788e7 + 9.22536e6i 0.0621116 + 0.0358601i
\(637\) 1.68338e8 0.651275
\(638\) −1.86521e7 + 3.23064e7i −0.0718234 + 0.124402i
\(639\) 3.33001e8 1.92258e8i 1.27627 0.736855i
\(640\) −1.32301e8 2.29152e8i −0.504689 0.874146i
\(641\) 1.50717e8i 0.572251i −0.958192 0.286126i \(-0.907633\pi\)
0.958192 0.286126i \(-0.0923675\pi\)
\(642\) −6.57313e6 1.13850e7i −0.0248409 0.0430257i
\(643\) −1.71716e8 −0.645917 −0.322959 0.946413i \(-0.604677\pi\)
−0.322959 + 0.946413i \(0.604677\pi\)
\(644\) 1.90728e7i 0.0714098i
\(645\) 4.40371e8 + 9.84421e7i 1.64112 + 0.366861i
\(646\) −1.91229e8 −0.709344
\(647\) 4.60664e8i 1.70087i 0.526079 + 0.850436i \(0.323662\pi\)
−0.526079 + 0.850436i \(0.676338\pi\)
\(648\) 9.04620e7 5.22283e7i 0.332461 0.191947i
\(649\) −7.94554e6 −0.0290663
\(650\) −3.60672e7 + 2.08234e7i −0.131333 + 0.0758249i
\(651\) −4.83198e8 8.36923e8i −1.75139 3.03349i
\(652\) 3.93411e6 + 2.27136e6i 0.0141940 + 0.00819489i
\(653\) 1.16862e8i 0.419693i 0.977734 + 0.209847i \(0.0672965\pi\)
−0.977734 + 0.209847i \(0.932704\pi\)
\(654\) −3.43171e8 + 5.94390e8i −1.22681 + 2.12490i
\(655\) 9.61797e7 + 1.66588e8i 0.342263 + 0.592816i
\(656\) 7.21825e7 0.255694
\(657\) −5.41178e8 + 3.12449e8i −1.90829 + 1.10175i
\(658\) 9.72903e7 1.68512e8i 0.341501 0.591497i
\(659\) −1.08363e8 + 1.87691e8i −0.378640 + 0.655824i −0.990865 0.134860i \(-0.956942\pi\)
0.612224 + 0.790684i \(0.290275\pi\)
\(660\) 2.35551e6 4.07987e6i 0.00819320 0.0141910i
\(661\) 5.54803e8 1.92103 0.960516 0.278226i \(-0.0897463\pi\)
0.960516 + 0.278226i \(0.0897463\pi\)
\(662\) −2.49141e8 + 4.31525e8i −0.858758 + 1.48741i
\(663\) −4.18674e8 2.41722e8i −1.43660 0.829421i
\(664\) 5.12407e7 2.95838e7i 0.175029 0.101053i
\(665\) 2.31949e8 1.33916e8i 0.788730 0.455374i
\(666\) −6.70590e8 −2.27005
\(667\) 2.45910e8i 0.828704i
\(668\) −382359. 662264.i −0.00128275 0.00222179i
\(669\) 1.22866e8 + 2.12810e8i 0.410349 + 0.710745i
\(670\) 2.59971e8 4.50283e8i 0.864372 1.49714i
\(671\) 3.38150e7 + 1.95231e7i 0.111929 + 0.0646221i
\(672\) 4.85663e7i 0.160040i
\(673\) −2.03133e7 1.17279e7i −0.0666399 0.0384746i 0.466310 0.884621i \(-0.345583\pi\)
−0.532950 + 0.846147i \(0.678917\pi\)
\(674\) 2.22094e8 + 1.28226e8i 0.725367 + 0.418791i
\(675\) −2.91755e7 1.68445e7i −0.0948651 0.0547704i
\(676\) 507794. + 879524.i 0.00164379 + 0.00284713i
\(677\) 2.28403e8i 0.736098i −0.929806 0.368049i \(-0.880026\pi\)
0.929806 0.368049i \(-0.119974\pi\)
\(678\) 7.15330e8 4.12996e8i 2.29518 1.32512i
\(679\) −6.14516e8 3.54791e8i −1.96301 1.13335i
\(680\) 3.83332e8 1.21913
\(681\) −1.62738e8 + 2.81871e8i −0.515286 + 0.892501i
\(682\) −1.14769e8 + 6.62617e7i −0.361801 + 0.208886i
\(683\) 9.21532e7 + 1.59614e8i 0.289233 + 0.500967i 0.973627 0.228146i \(-0.0732664\pi\)
−0.684394 + 0.729113i \(0.739933\pi\)
\(684\) 1.18478e7i 0.0370227i
\(685\) 3.85421e7 + 6.67569e7i 0.119912 + 0.207694i
\(686\) 1.31175e8 0.406330
\(687\) 3.56065e8i 1.09814i
\(688\) 9.33728e7 + 2.97970e8i 0.286718 + 0.914971i
\(689\) 3.63655e8 1.11181
\(690\) 7.53366e8i 2.29329i
\(691\) 1.34664e8 7.77481e7i 0.408146 0.235643i −0.281847 0.959459i \(-0.590947\pi\)
0.689993 + 0.723816i \(0.257614\pi\)
\(692\) 1.70182e7 0.0513566
\(693\) 1.31903e8 7.61545e7i 0.396330 0.228821i
\(694\) −5.55416e7 9.62009e7i −0.166165 0.287807i
\(695\) −4.65984e8 2.69036e8i −1.38809 0.801412i
\(696\) 3.19165e8i 0.946647i
\(697\) −5.01269e7 + 8.68224e7i −0.148038 + 0.256409i
\(698\) −3.41206e7 5.90985e7i −0.100334 0.173784i
\(699\) 2.31586e7 0.0678081
\(700\) −2.46331e6 + 1.42219e6i −0.00718167 + 0.00414634i
\(701\) −1.65826e8 + 2.87219e8i −0.481392 + 0.833795i −0.999772 0.0213554i \(-0.993202\pi\)
0.518380 + 0.855150i \(0.326535\pi\)
\(702\) −1.10033e8 + 1.90582e8i −0.318061 + 0.550898i
\(703\) 1.82876e8 3.16750e8i 0.526369 0.911698i
\(704\) 8.90047e7 0.255091
\(705\) 1.58412e8 2.74378e8i 0.452086 0.783036i
\(706\) 5.08632e8 + 2.93659e8i 1.44541 + 0.834505i
\(707\) 6.08780e8 3.51479e8i 1.72267 0.994584i
\(708\) 2.24200e6 1.29442e6i 0.00631735 0.00364732i
\(709\) −4.75605e8 −1.33447 −0.667234 0.744849i \(-0.732522\pi\)
−0.667234 + 0.744849i \(0.732522\pi\)
\(710\) 3.88382e8i 1.08513i
\(711\) −8.35849e7 1.44773e8i −0.232551 0.402791i
\(712\) 7.69824e7 + 1.33337e8i 0.213281 + 0.369413i
\(713\) −4.36799e8 + 7.56557e8i −1.20507 + 2.08724i
\(714\) 6.93672e8 + 4.00492e8i 1.90572 + 1.10027i
\(715\) 9.28520e7i 0.254023i
\(716\) 8.81130e6 + 5.08721e6i 0.0240050 + 0.0138593i
\(717\) 5.41892e8 + 3.12862e8i 1.47013 + 0.848780i
\(718\) 1.64718e8 + 9.51001e7i 0.445009 + 0.256926i
\(719\) −3.36176e8 5.82274e8i −0.904441 1.56654i −0.821666 0.569969i \(-0.806955\pi\)
−0.0827748 0.996568i \(-0.526378\pi\)
\(720\) 5.53296e8i 1.48238i
\(721\) −1.78349e8 + 1.02970e8i −0.475843 + 0.274728i
\(722\) 1.83667e8 + 1.06040e8i 0.488001 + 0.281747i
\(723\) 1.68384e8 0.445540
\(724\) −1.06705e7 + 1.84819e7i −0.0281170 + 0.0487001i
\(725\) 3.17600e7 1.83367e7i 0.0833425 0.0481178i
\(726\) 2.74832e8 + 4.76023e8i 0.718220 + 1.24399i
\(727\) 6.23850e8i 1.62359i −0.583940 0.811797i \(-0.698490\pi\)
0.583940 0.811797i \(-0.301510\pi\)
\(728\) 2.43950e8 + 4.22533e8i 0.632275 + 1.09513i
\(729\) 6.19156e8 1.59815
\(730\) 6.31181e8i 1.62250i
\(731\) −4.23246e8 9.46140e7i −1.08353 0.242216i
\(732\) −1.27221e7 −0.0324359
\(733\) 7.66890e8i 1.94725i 0.228158 + 0.973624i \(0.426730\pi\)
−0.228158 + 0.973624i \(0.573270\pi\)
\(734\) 5.42367e7 3.13135e7i 0.137153 0.0791852i
\(735\) −4.54129e8 −1.14371
\(736\) 3.80209e7 2.19514e7i 0.0953650 0.0550590i
\(737\) 8.06338e7 + 1.39662e8i 0.201425 + 0.348879i
\(738\) 1.30493e8 + 7.53399e7i 0.324651 + 0.187437i
\(739\) 3.76954e8i 0.934018i 0.884253 + 0.467009i \(0.154668\pi\)
−0.884253 + 0.467009i \(0.845332\pi\)
\(740\) −1.39605e7 + 2.41802e7i −0.0344512 + 0.0596713i
\(741\) −1.98152e8 3.43209e8i −0.487017 0.843538i
\(742\) −6.02515e8 −1.47488
\(743\) 3.96121e7 2.28700e7i 0.0965742 0.0557571i −0.450935 0.892557i \(-0.648909\pi\)
0.547509 + 0.836800i \(0.315576\pi\)
\(744\) 5.66918e8 9.81930e8i 1.37658 2.38431i
\(745\) 2.06444e8 3.57571e8i 0.499267 0.864755i
\(746\) −6.73692e7 + 1.16687e8i −0.162272 + 0.281064i
\(747\) 1.18614e8 0.284560
\(748\) −2.26391e6 + 3.92121e6i −0.00540947 + 0.00936948i
\(749\) −1.53255e7 8.84819e6i −0.0364729 0.0210576i
\(750\) −5.04804e8 + 2.91449e8i −1.19657 + 0.690842i
\(751\) −4.47102e8 + 2.58135e8i −1.05557 + 0.609434i −0.924204 0.381900i \(-0.875270\pi\)
−0.131366 + 0.991334i \(0.541936\pi\)
\(752\) 2.19242e8 0.515549
\(753\) 1.04254e9i 2.44179i
\(754\) −1.19780e8 2.07465e8i −0.279428 0.483984i
\(755\) 2.35634e8 + 4.08129e8i 0.547515 + 0.948324i
\(756\) −7.51500e6 + 1.30164e7i −0.0173926 + 0.0301248i
\(757\) 3.71013e8 + 2.14204e8i 0.855267 + 0.493788i 0.862424 0.506186i \(-0.168945\pi\)
−0.00715774 + 0.999974i \(0.502278\pi\)
\(758\) 9.48169e7i 0.217710i
\(759\) −2.02362e8 1.16834e8i −0.462810 0.267204i
\(760\) 2.72138e8 + 1.57119e8i 0.619938 + 0.357921i
\(761\) 2.28313e8 + 1.31817e8i 0.518056 + 0.299100i 0.736139 0.676831i \(-0.236647\pi\)
−0.218083 + 0.975930i \(0.569980\pi\)
\(762\) −3.60596e8 6.24570e8i −0.814996 1.41161i
\(763\) 9.23897e8i 2.07994i
\(764\) 9.86139e6 5.69348e6i 0.0221135 0.0127673i
\(765\) 6.65514e8 + 3.84235e8i 1.48653 + 0.858247i
\(766\) −5.94507e8