Properties

Label 37.8.f.a.7.9
Level $37$
Weight $8$
Character 37.7
Analytic conductor $11.558$
Analytic rank $0$
Dimension $132$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 37 \)
Weight: \( k \) \(=\) \( 8 \)
Character orbit: \([\chi]\) \(=\) 37.f (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(11.5582459429\)
Analytic rank: \(0\)
Dimension: \(132\)
Relative dimension: \(22\) over \(\Q(\zeta_{9})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 7.9
Character \(\chi\) \(=\) 37.7
Dual form 37.8.f.a.16.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-4.76396 + 1.73394i) q^{2} +(65.1424 + 23.7099i) q^{3} +(-78.3649 + 65.7560i) q^{4} +(-43.0745 - 244.287i) q^{5} -351.448 q^{6} +(-294.271 - 1668.89i) q^{7} +(583.772 - 1011.12i) q^{8} +(2006.04 + 1683.27i) q^{9} +O(q^{10})\) \(q+(-4.76396 + 1.73394i) q^{2} +(65.1424 + 23.7099i) q^{3} +(-78.3649 + 65.7560i) q^{4} +(-43.0745 - 244.287i) q^{5} -351.448 q^{6} +(-294.271 - 1668.89i) q^{7} +(583.772 - 1011.12i) q^{8} +(2006.04 + 1683.27i) q^{9} +(628.785 + 1089.09i) q^{10} +(-162.972 + 282.276i) q^{11} +(-6663.95 + 2425.48i) q^{12} +(3072.22 - 2577.90i) q^{13} +(4295.66 + 7440.29i) q^{14} +(2986.06 - 16934.8i) q^{15} +(1245.94 - 7066.05i) q^{16} +(3815.96 + 3201.97i) q^{17} +(-12475.4 - 4540.66i) q^{18} +(26092.1 + 9496.74i) q^{19} +(19438.9 + 16311.2i) q^{20} +(20399.8 - 115693. i) q^{21} +(286.943 - 1627.33i) q^{22} +(-39780.3 - 68901.5i) q^{23} +(62001.9 - 52025.8i) q^{24} +(15592.5 - 5675.22i) q^{25} +(-10166.0 + 17608.1i) q^{26} +(14963.3 + 25917.1i) q^{27} +(132800. + 111433. i) q^{28} +(18367.4 - 31813.3i) q^{29} +(15138.4 + 85854.3i) q^{30} -319642. q^{31} +(32267.5 + 182998. i) q^{32} +(-17309.1 + 14524.1i) q^{33} +(-23731.1 - 8637.43i) q^{34} +(-395014. + 143773. i) q^{35} -267888. q^{36} +(256612. + 170535. i) q^{37} -140768. q^{38} +(261254. - 95088.7i) q^{39} +(-272150. - 99054.5i) q^{40} +(185871. - 155964. i) q^{41} +(103421. + 586528. i) q^{42} +424350. q^{43} +(-5790.03 - 32836.9i) q^{44} +(324792. - 562556. i) q^{45} +(308983. + 259267. i) q^{46} +(-80852.5 - 140041. i) q^{47} +(248699. - 430759. i) q^{48} +(-1.92473e6 + 700544. i) q^{49} +(-64441.8 + 54073.1i) q^{50} +(172663. + 299060. i) q^{51} +(-71242.1 + 404034. i) q^{52} +(188050. - 1.06648e6i) q^{53} +(-116223. - 97522.8i) q^{54} +(75976.3 + 27653.1i) q^{55} +(-1.85924e6 - 676708. i) q^{56} +(1.47453e6 + 1.23728e6i) q^{57} +(-32339.3 + 183405. i) q^{58} +(-264901. + 1.50233e6i) q^{59} +(879560. + 1.52344e6i) q^{60} +(-173851. + 145878. i) q^{61} +(1.52276e6 - 554241. i) q^{62} +(2.21887e6 - 3.84320e6i) q^{63} +(-11824.7 - 20481.0i) q^{64} +(-762083. - 639464. i) q^{65} +(57276.1 - 99205.1i) q^{66} +(106328. + 603014. i) q^{67} -509586. q^{68} +(-957737. - 5.43160e6i) q^{69} +(1.63254e6 - 1.36986e6i) q^{70} +(2.62520e6 + 955493. i) q^{71} +(2.87305e6 - 1.04571e6i) q^{72} -4.70890e6 q^{73} +(-1.51819e6 - 367470. i) q^{74} +1.15029e6 q^{75} +(-2.66917e6 + 971498. i) q^{76} +(519045. + 188917. i) q^{77} +(-1.07973e6 + 905998. i) q^{78} +(-1.00091e6 - 5.67642e6i) q^{79} -1.77982e6 q^{80} +(-634248. - 3.59700e6i) q^{81} +(-615049. + 1.06530e6i) q^{82} +(7.12957e6 + 5.98242e6i) q^{83} +(6.00887e6 + 1.04077e7i) q^{84} +(617831. - 1.07011e6i) q^{85} +(-2.02159e6 + 735798. i) q^{86} +(1.95079e6 - 1.63690e6i) q^{87} +(190277. + 329569. i) q^{88} +(-2.16661e6 + 1.22874e7i) q^{89} +(-571857. + 3.24316e6i) q^{90} +(-5.20631e6 - 4.36861e6i) q^{91} +(7.64806e6 + 2.78367e6i) q^{92} +(-2.08223e7 - 7.57869e6i) q^{93} +(628001. + 526955. i) q^{94} +(1.19603e6 - 6.78303e6i) q^{95} +(-2.23688e6 + 1.26860e7i) q^{96} +(661629. + 1.14597e6i) q^{97} +(7.95464e6 - 6.67473e6i) q^{98} +(-802072. + 291930. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 132q + 15q^{2} + 33q^{3} - 279q^{4} + 576q^{5} - 12q^{6} - 597q^{7} - 3750q^{8} - 3243q^{9} + O(q^{10}) \) \( 132q + 15q^{2} + 33q^{3} - 279q^{4} + 576q^{5} - 12q^{6} - 597q^{7} - 3750q^{8} - 3243q^{9} - 6003q^{10} - 15975q^{11} - 4635q^{12} - 15981q^{13} - 13491q^{14} + 38493q^{15} - 74151q^{16} + 37698q^{17} - 20100q^{18} - 66102q^{19} - 176184q^{20} - 142530q^{21} + 132783q^{22} + 140631q^{23} - 38793q^{24} - 544092q^{25} - 423147q^{26} + 130557q^{27} + 603813q^{28} + 22890q^{29} - 319860q^{30} - 1288044q^{31} - 217866q^{32} + 112344q^{33} + 812019q^{34} + 1479252q^{35} + 8118132q^{36} - 1664550q^{37} + 305010q^{38} - 1580340q^{39} - 4681425q^{40} - 2956593q^{41} - 3553029q^{42} - 1023528q^{43} + 6409524q^{44} + 1803336q^{45} + 10219434q^{46} - 2607204q^{47} - 2984043q^{48} - 6819531q^{49} + 5724015q^{50} - 1675833q^{51} + 11768451q^{52} + 2280177q^{53} - 7803897q^{54} - 3542196q^{55} + 12168843q^{56} - 85203q^{57} - 12425487q^{58} - 7014600q^{59} + 2356788q^{60} + 10840332q^{61} + 6334368q^{62} - 3331359q^{63} - 26175624q^{64} - 573195q^{65} - 36720249q^{66} + 6642918q^{67} - 25277742q^{68} - 1236438q^{69} - 27401982q^{70} + 20311041q^{71} + 40093005q^{72} + 38643780q^{73} - 9531q^{74} + 16639446q^{75} + 5787405q^{76} - 316971q^{77} + 9363381q^{78} + 17712534q^{79} - 74410128q^{80} - 10355109q^{81} - 16702371q^{82} - 31021176q^{83} - 61626192q^{84} + 23576445q^{85} + 18579072q^{86} + 104996631q^{87} + 57279702q^{88} - 13471320q^{89} + 56306910q^{90} - 2335911q^{91} - 178133436q^{92} + 24366258q^{93} + 77086020q^{94} - 26254407q^{95} + 152523921q^{96} + 14408415q^{97} - 521205q^{98} + 58375668q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/37\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{8}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.76396 + 1.73394i −0.421079 + 0.153260i −0.543864 0.839173i \(-0.683039\pi\)
0.122786 + 0.992433i \(0.460817\pi\)
\(3\) 65.1424 + 23.7099i 1.39296 + 0.506997i 0.926082 0.377323i \(-0.123155\pi\)
0.466881 + 0.884320i \(0.345378\pi\)
\(4\) −78.3649 + 65.7560i −0.612226 + 0.513718i
\(5\) −43.0745 244.287i −0.154108 0.873989i −0.959597 0.281379i \(-0.909208\pi\)
0.805489 0.592611i \(-0.201903\pi\)
\(6\) −351.448 −0.664250
\(7\) −294.271 1668.89i −0.324268 1.83901i −0.514770 0.857328i \(-0.672123\pi\)
0.190502 0.981687i \(-0.438988\pi\)
\(8\) 583.772 1011.12i 0.403114 0.698214i
\(9\) 2006.04 + 1683.27i 0.917255 + 0.769669i
\(10\) 628.785 + 1089.09i 0.198839 + 0.344400i
\(11\) −162.972 + 282.276i −0.0369180 + 0.0639439i −0.883894 0.467687i \(-0.845087\pi\)
0.846976 + 0.531631i \(0.178421\pi\)
\(12\) −6663.95 + 2425.48i −1.11326 + 0.405194i
\(13\) 3072.22 2577.90i 0.387839 0.325435i −0.427932 0.903811i \(-0.640758\pi\)
0.815771 + 0.578376i \(0.196313\pi\)
\(14\) 4295.66 + 7440.29i 0.418390 + 0.724673i
\(15\) 2986.06 16934.8i 0.228443 1.29557i
\(16\) 1245.94 7066.05i 0.0760459 0.431278i
\(17\) 3815.96 + 3201.97i 0.188379 + 0.158069i 0.732100 0.681197i \(-0.238540\pi\)
−0.543721 + 0.839266i \(0.682985\pi\)
\(18\) −12475.4 4540.66i −0.504196 0.183512i
\(19\) 26092.1 + 9496.74i 0.872712 + 0.317641i 0.739265 0.673415i \(-0.235173\pi\)
0.133447 + 0.991056i \(0.457395\pi\)
\(20\) 19438.9 + 16311.2i 0.543333 + 0.455911i
\(21\) 20399.8 115693.i 0.480682 2.72608i
\(22\) 286.943 1627.33i 0.00574534 0.0325835i
\(23\) −39780.3 68901.5i −0.681743 1.18081i −0.974449 0.224610i \(-0.927889\pi\)
0.292706 0.956202i \(-0.405444\pi\)
\(24\) 62001.9 52025.8i 0.915515 0.768209i
\(25\) 15592.5 5675.22i 0.199584 0.0726428i
\(26\) −10166.0 + 17608.1i −0.113434 + 0.196474i
\(27\) 14963.3 + 25917.1i 0.146303 + 0.253404i
\(28\) 132800. + 111433.i 1.14326 + 0.959310i
\(29\) 18367.4 31813.3i 0.139847 0.242223i −0.787591 0.616198i \(-0.788672\pi\)
0.927439 + 0.373975i \(0.122005\pi\)
\(30\) 15138.4 + 85854.3i 0.102366 + 0.580547i
\(31\) −319642. −1.92707 −0.963537 0.267577i \(-0.913777\pi\)
−0.963537 + 0.267577i \(0.913777\pi\)
\(32\) 32267.5 + 182998.i 0.174076 + 0.987237i
\(33\) −17309.1 + 14524.1i −0.0838448 + 0.0703541i
\(34\) −23731.1 8637.43i −0.103548 0.0376884i
\(35\) −395014. + 143773.i −1.55731 + 0.566813i
\(36\) −267888. −0.956960
\(37\) 256612. + 170535.i 0.832859 + 0.553485i
\(38\) −140768. −0.416162
\(39\) 261254. 95088.7i 0.705240 0.256686i
\(40\) −272150. 99054.5i −0.672355 0.244717i
\(41\) 185871. 155964.i 0.421180 0.353412i −0.407432 0.913236i \(-0.633576\pi\)
0.828612 + 0.559824i \(0.189131\pi\)
\(42\) 103421. + 586528.i 0.215395 + 1.22156i
\(43\) 424350. 0.813926 0.406963 0.913445i \(-0.366588\pi\)
0.406963 + 0.913445i \(0.366588\pi\)
\(44\) −5790.03 32836.9i −0.0102470 0.0581135i
\(45\) 324792. 562556.i 0.531326 0.920283i
\(46\) 308983. + 259267.i 0.468039 + 0.392731i
\(47\) −80852.5 140041.i −0.113593 0.196749i 0.803623 0.595138i \(-0.202903\pi\)
−0.917216 + 0.398389i \(0.869569\pi\)
\(48\) 248699. 430759.i 0.324586 0.562199i
\(49\) −1.92473e6 + 700544.i −2.33713 + 0.850647i
\(50\) −64441.8 + 54073.1i −0.0729075 + 0.0611767i
\(51\) 172663. + 299060.i 0.182265 + 0.315692i
\(52\) −71242.1 + 404034.i −0.0702627 + 0.398480i
\(53\) 188050. 1.06648e6i 0.173503 0.983984i −0.766355 0.642418i \(-0.777931\pi\)
0.939858 0.341567i \(-0.110957\pi\)
\(54\) −116223. 97522.8i −0.100442 0.0842807i
\(55\) 75976.3 + 27653.1i 0.0615756 + 0.0224117i
\(56\) −1.85924e6 676708.i −1.41474 0.514924i
\(57\) 1.47453e6 + 1.23728e6i 1.05461 + 0.884925i
\(58\) −32339.3 + 183405.i −0.0217637 + 0.123428i
\(59\) −264901. + 1.50233e6i −0.167920 + 0.952321i 0.778083 + 0.628162i \(0.216192\pi\)
−0.946003 + 0.324159i \(0.894919\pi\)
\(60\) 879560. + 1.52344e6i 0.525698 + 0.910535i
\(61\) −173851. + 145878.i −0.0980669 + 0.0822879i −0.690503 0.723330i \(-0.742611\pi\)
0.592436 + 0.805618i \(0.298166\pi\)
\(62\) 1.52276e6 554241.i 0.811450 0.295344i
\(63\) 2.21887e6 3.84320e6i 1.11800 1.93643i
\(64\) −11824.7 20481.0i −0.00563847 0.00976612i
\(65\) −762083. 639464.i −0.344196 0.288815i
\(66\) 57276.1 99205.1i 0.0245228 0.0424747i
\(67\) 106328. + 603014.i 0.0431901 + 0.244943i 0.998758 0.0498286i \(-0.0158675\pi\)
−0.955568 + 0.294772i \(0.904756\pi\)
\(68\) −509586. −0.196533
\(69\) −957737. 5.43160e6i −0.350974 1.99047i
\(70\) 1.63254e6 1.36986e6i 0.568879 0.477346i
\(71\) 2.62520e6 + 955493.i 0.870477 + 0.316828i 0.738360 0.674406i \(-0.235600\pi\)
0.132117 + 0.991234i \(0.457823\pi\)
\(72\) 2.87305e6 1.04571e6i 0.907152 0.330176i
\(73\) −4.70890e6 −1.41674 −0.708369 0.705842i \(-0.750569\pi\)
−0.708369 + 0.705842i \(0.750569\pi\)
\(74\) −1.51819e6 367470.i −0.435526 0.105417i
\(75\) 1.15029e6 0.314843
\(76\) −2.66917e6 + 971498.i −0.697475 + 0.253860i
\(77\) 519045. + 188917.i 0.129565 + 0.0471578i
\(78\) −1.07973e6 + 905998.i −0.257622 + 0.216170i
\(79\) −1.00091e6 5.67642e6i −0.228401 1.29533i −0.856075 0.516852i \(-0.827104\pi\)
0.627674 0.778477i \(-0.284007\pi\)
\(80\) −1.77982e6 −0.388651
\(81\) −634248. 3.59700e6i −0.132606 0.752043i
\(82\) −615049. + 1.06530e6i −0.123186 + 0.213364i
\(83\) 7.12957e6 + 5.98242e6i 1.36864 + 1.14843i 0.973206 + 0.229934i \(0.0738511\pi\)
0.395437 + 0.918493i \(0.370593\pi\)
\(84\) 6.00887e6 + 1.04077e7i 1.10615 + 1.91591i
\(85\) 617831. 1.07011e6i 0.109120 0.189001i
\(86\) −2.02159e6 + 735798.i −0.342727 + 0.124742i
\(87\) 1.95079e6 1.63690e6i 0.317609 0.266505i
\(88\) 190277. + 329569.i 0.0297643 + 0.0515533i
\(89\) −2.16661e6 + 1.22874e7i −0.325773 + 1.84755i 0.178413 + 0.983956i \(0.442904\pi\)
−0.504186 + 0.863595i \(0.668207\pi\)
\(90\) −571857. + 3.24316e6i −0.0826873 + 0.468943i
\(91\) −5.20631e6 4.36861e6i −0.724244 0.607713i
\(92\) 7.64806e6 + 2.78367e6i 1.02399 + 0.372700i
\(93\) −2.08223e7 7.57869e6i −2.68434 0.977020i
\(94\) 628001. + 526955.i 0.0779853 + 0.0654374i
\(95\) 1.19603e6 6.78303e6i 0.143123 0.811692i
\(96\) −2.23688e6 + 1.26860e7i −0.258044 + 1.46344i
\(97\) 661629. + 1.14597e6i 0.0736060 + 0.127489i 0.900479 0.434899i \(-0.143216\pi\)
−0.826873 + 0.562388i \(0.809883\pi\)
\(98\) 7.95464e6 6.67473e6i 0.853747 0.716379i
\(99\) −802072. + 291930.i −0.0830788 + 0.0302382i
\(100\) −848728. + 1.47004e6i −0.0848728 + 0.147004i
\(101\) 4.58226e6 + 7.93671e6i 0.442543 + 0.766506i 0.997877 0.0651205i \(-0.0207432\pi\)
−0.555335 + 0.831627i \(0.687410\pi\)
\(102\) −1.34111e6 1.12533e6i −0.125131 0.104997i
\(103\) 1.77147e6 3.06828e6i 0.159736 0.276671i −0.775037 0.631916i \(-0.782269\pi\)
0.934774 + 0.355244i \(0.115602\pi\)
\(104\) −813096. 4.61130e6i −0.0708803 0.401982i
\(105\) −2.91410e7 −2.45664
\(106\) 953356. + 5.40675e6i 0.0777472 + 0.440926i
\(107\) 1.43107e7 1.20081e7i 1.12932 0.947611i 0.130281 0.991477i \(-0.458412\pi\)
0.999037 + 0.0438660i \(0.0139675\pi\)
\(108\) −2.87680e6 1.04707e6i −0.219749 0.0799820i
\(109\) −3.67342e6 + 1.33702e6i −0.271693 + 0.0988880i −0.474274 0.880377i \(-0.657289\pi\)
0.202581 + 0.979265i \(0.435067\pi\)
\(110\) −409897. −0.0293630
\(111\) 1.26730e7 + 1.71933e7i 0.879526 + 1.19324i
\(112\) −1.21591e7 −0.817785
\(113\) 2.16395e7 7.87615e6i 1.41083 0.513499i 0.479454 0.877567i \(-0.340835\pi\)
0.931372 + 0.364068i \(0.118612\pi\)
\(114\) −9.17000e6 3.33761e6i −0.579699 0.210993i
\(115\) −1.51182e7 + 1.26857e7i −0.926956 + 0.777808i
\(116\) 652553. + 3.70081e6i 0.0388162 + 0.220137i
\(117\) 1.05023e7 0.606224
\(118\) −1.34297e6 7.61637e6i −0.0752454 0.426738i
\(119\) 4.22082e6 7.31068e6i 0.229606 0.397689i
\(120\) −1.53799e7 1.29053e7i −0.812494 0.681764i
\(121\) 9.69047e6 + 1.67844e7i 0.497274 + 0.861304i
\(122\) 575275. 996405.i 0.0286824 0.0496794i
\(123\) 1.58060e7 5.75290e6i 0.765866 0.278753i
\(124\) 2.50487e7 2.10184e7i 1.17980 0.989973i
\(125\) −1.17477e7 2.03476e7i −0.537983 0.931813i
\(126\) −3.90674e6 + 2.21562e7i −0.173987 + 0.986732i
\(127\) −7.42578e6 + 4.21137e7i −0.321684 + 1.82436i 0.210339 + 0.977629i \(0.432543\pi\)
−0.532023 + 0.846730i \(0.678568\pi\)
\(128\) −1.81286e7 1.52117e7i −0.764063 0.641125i
\(129\) 2.76432e7 + 1.00613e7i 1.13377 + 0.412658i
\(130\) 4.73933e6 + 1.72498e6i 0.189197 + 0.0688622i
\(131\) −473874. 397628.i −0.0184168 0.0154535i 0.633533 0.773716i \(-0.281604\pi\)
−0.651950 + 0.758262i \(0.726049\pi\)
\(132\) 401383. 2.27635e6i 0.0151897 0.0861452i
\(133\) 8.17090e6 4.63395e7i 0.301154 1.70793i
\(134\) −1.55213e6 2.68837e6i −0.0557264 0.0965210i
\(135\) 5.68669e6 4.77170e6i 0.198926 0.166919i
\(136\) 5.46523e6 1.98918e6i 0.186304 0.0678092i
\(137\) 2.03948e7 3.53249e7i 0.677638 1.17370i −0.298052 0.954550i \(-0.596337\pi\)
0.975690 0.219154i \(-0.0703298\pi\)
\(138\) 1.39807e7 + 2.42153e7i 0.452847 + 0.784354i
\(139\) −353526. 296644.i −0.0111653 0.00936878i 0.637188 0.770708i \(-0.280098\pi\)
−0.648353 + 0.761340i \(0.724542\pi\)
\(140\) 2.15013e7 3.72413e7i 0.662241 1.14704i
\(141\) −1.94658e6 1.10396e7i −0.0584797 0.331655i
\(142\) −1.41631e7 −0.415097
\(143\) 226993. + 1.28734e6i 0.00649136 + 0.0368143i
\(144\) 1.43934e7 1.20775e7i 0.401694 0.337062i
\(145\) −8.56275e6 3.11659e6i −0.233252 0.0848967i
\(146\) 2.24330e7 8.16496e6i 0.596559 0.217130i
\(147\) −1.41991e8 −3.68682
\(148\) −3.13231e7 + 3.50987e6i −0.794233 + 0.0889968i
\(149\) 3.56575e7 0.883079 0.441539 0.897242i \(-0.354433\pi\)
0.441539 + 0.897242i \(0.354433\pi\)
\(150\) −5.47996e6 + 1.99454e6i −0.132574 + 0.0482529i
\(151\) 3.49394e6 + 1.27169e6i 0.0825841 + 0.0300582i 0.382982 0.923756i \(-0.374897\pi\)
−0.300398 + 0.953814i \(0.597119\pi\)
\(152\) 2.48342e7 2.08383e7i 0.573584 0.481294i
\(153\) 2.26519e6 + 1.28466e7i 0.0511311 + 0.289979i
\(154\) −2.80028e6 −0.0617845
\(155\) 1.37684e7 + 7.80846e7i 0.296977 + 1.68424i
\(156\) −1.42205e7 + 2.46306e7i −0.299901 + 0.519444i
\(157\) 5.65297e7 + 4.74341e7i 1.16581 + 0.978231i 0.999969 0.00792138i \(-0.00252148\pi\)
0.165842 + 0.986152i \(0.446966\pi\)
\(158\) 1.46109e7 + 2.53068e7i 0.294697 + 0.510431i
\(159\) 3.75362e7 6.50146e7i 0.740560 1.28269i
\(160\) 4.33142e7 1.57651e7i 0.836008 0.304282i
\(161\) −1.03283e8 + 8.66647e7i −1.95046 + 1.63663i
\(162\) 9.25852e6 + 1.60362e7i 0.171096 + 0.296346i
\(163\) 442640. 2.51033e6i 0.00800560 0.0454020i −0.980543 0.196303i \(-0.937106\pi\)
0.988549 + 0.150901i \(0.0482175\pi\)
\(164\) −4.31017e6 + 2.44442e7i −0.0763029 + 0.432735i
\(165\) 4.29363e6 + 3.60278e6i 0.0744099 + 0.0624373i
\(166\) −4.43382e7 1.61378e7i −0.752315 0.273820i
\(167\) −3.18343e7 1.15867e7i −0.528916 0.192510i 0.0637380 0.997967i \(-0.479698\pi\)
−0.592654 + 0.805457i \(0.701920\pi\)
\(168\) −1.05071e8 8.81649e7i −1.70962 1.43454i
\(169\) −8.10318e6 + 4.59554e7i −0.129137 + 0.732375i
\(170\) −1.08781e6 + 6.16927e6i −0.0169817 + 0.0963080i
\(171\) 3.63561e7 + 6.29707e7i 0.556021 + 0.963057i
\(172\) −3.32542e7 + 2.79036e7i −0.498306 + 0.418129i
\(173\) 4.32172e7 1.57298e7i 0.634594 0.230973i −0.00463582 0.999989i \(-0.501476\pi\)
0.639229 + 0.769016i \(0.279253\pi\)
\(174\) −6.45518e6 + 1.11807e7i −0.0928936 + 0.160897i
\(175\) −1.40598e7 2.43522e7i −0.198310 0.343483i
\(176\) 1.79152e6 + 1.50327e6i 0.0247701 + 0.0207846i
\(177\) −5.28764e7 + 9.15847e7i −0.716730 + 1.24141i
\(178\) −1.09841e7 6.22937e7i −0.145980 0.827892i
\(179\) 8.50913e7 1.10892 0.554459 0.832211i \(-0.312925\pi\)
0.554459 + 0.832211i \(0.312925\pi\)
\(180\) 1.15391e7 + 6.54416e7i 0.147475 + 0.836373i
\(181\) −4.26732e7 + 3.58070e7i −0.534909 + 0.448842i −0.869792 0.493418i \(-0.835747\pi\)
0.334884 + 0.942259i \(0.391303\pi\)
\(182\) 3.23776e7 + 1.17845e7i 0.398102 + 0.144897i
\(183\) −1.47838e7 + 5.38087e6i −0.178323 + 0.0649044i
\(184\) −9.28904e7 −1.09928
\(185\) 3.06060e7 7.00328e7i 0.355390 0.813206i
\(186\) 1.12338e8 1.28006
\(187\) −1.52573e6 + 555321.i −0.0170621 + 0.00621010i
\(188\) 1.55445e7 + 5.65774e6i 0.170618 + 0.0620998i
\(189\) 3.88496e7 3.25987e7i 0.418572 0.351224i
\(190\) 6.06353e6 + 3.43880e7i 0.0641339 + 0.363721i
\(191\) −2.19921e7 −0.228375 −0.114188 0.993459i \(-0.536427\pi\)
−0.114188 + 0.993459i \(0.536427\pi\)
\(192\) −284688. 1.61455e6i −0.00290279 0.0164625i
\(193\) 2.01858e7 3.49629e7i 0.202114 0.350071i −0.747096 0.664717i \(-0.768552\pi\)
0.949209 + 0.314645i \(0.101886\pi\)
\(194\) −5.13903e6 4.31216e6i −0.0505330 0.0424022i
\(195\) −3.44823e7 5.97252e7i −0.333024 0.576815i
\(196\) 1.04766e8 1.81461e8i 0.993860 1.72142i
\(197\) 8.40245e7 3.05824e7i 0.783022 0.284997i 0.0805899 0.996747i \(-0.474320\pi\)
0.702432 + 0.711751i \(0.252097\pi\)
\(198\) 3.31485e6 2.78149e6i 0.0303484 0.0254653i
\(199\) −4.17858e7 7.23752e7i −0.375875 0.651034i 0.614583 0.788852i \(-0.289324\pi\)
−0.990458 + 0.137818i \(0.955991\pi\)
\(200\) 3.36414e6 1.90790e7i 0.0297351 0.168636i
\(201\) −7.37096e6 + 4.18028e7i −0.0640233 + 0.363094i
\(202\) −3.55915e7 2.98648e7i −0.303820 0.254935i
\(203\) −5.84979e7 2.12915e7i −0.490800 0.178636i
\(204\) −3.31957e7 1.20822e7i −0.273764 0.0996419i
\(205\) −4.61063e7 3.86878e7i −0.373785 0.313643i
\(206\) −3.11901e6 + 1.76888e7i −0.0248589 + 0.140982i
\(207\) 3.61787e7 2.05180e8i 0.283503 1.60782i
\(208\) −1.43878e7 2.49204e7i −0.110859 0.192014i
\(209\) −6.93297e6 + 5.81745e6i −0.0525300 + 0.0440779i
\(210\) 1.38827e8 5.05288e7i 1.03444 0.376506i
\(211\) −9.17885e7 + 1.58982e8i −0.672667 + 1.16509i 0.304479 + 0.952519i \(0.401518\pi\)
−0.977145 + 0.212573i \(0.931816\pi\)
\(212\) 5.53911e7 + 9.59402e7i 0.399268 + 0.691552i
\(213\) 1.48357e8 + 1.24486e8i 1.05191 + 0.882659i
\(214\) −4.73542e7 + 8.20199e7i −0.330301 + 0.572099i
\(215\) −1.82787e7 1.03663e8i −0.125432 0.711363i
\(216\) 3.49405e7 0.235907
\(217\) 9.40614e7 + 5.33449e8i 0.624888 + 3.54392i
\(218\) 1.51817e7 1.27390e7i 0.0992484 0.0832793i
\(219\) −3.06749e8 1.11648e8i −1.97346 0.718282i
\(220\) −7.77223e6 + 2.82886e6i −0.0492115 + 0.0179115i
\(221\) 1.99779e7 0.124502
\(222\) −9.01858e7 5.99340e7i −0.553226 0.367653i
\(223\) 1.49867e8 0.904979 0.452489 0.891770i \(-0.350536\pi\)
0.452489 + 0.891770i \(0.350536\pi\)
\(224\) 2.95908e8 1.07702e8i 1.75910 0.640258i
\(225\) 4.08321e7 + 1.48617e7i 0.238981 + 0.0869819i
\(226\) −8.94332e7 + 7.50434e7i −0.515370 + 0.432447i
\(227\) 2.58401e7 + 1.46547e8i 0.146624 + 0.831545i 0.966049 + 0.258359i \(0.0831817\pi\)
−0.819425 + 0.573186i \(0.805707\pi\)
\(228\) −1.96910e8 −1.10026
\(229\) −2.18173e7 1.23732e8i −0.120054 0.680862i −0.984123 0.177488i \(-0.943203\pi\)
0.864069 0.503374i \(-0.167908\pi\)
\(230\) 5.00265e7 8.66484e7i 0.271114 0.469584i
\(231\) 2.93327e7 + 2.46130e7i 0.156570 + 0.131378i
\(232\) −2.14447e7 3.71434e7i −0.112749 0.195287i
\(233\) 1.14204e8 1.97807e8i 0.591472 1.02446i −0.402562 0.915393i \(-0.631880\pi\)
0.994034 0.109067i \(-0.0347864\pi\)
\(234\) −5.00325e7 + 1.82103e7i −0.255268 + 0.0929101i
\(235\) −3.07275e7 + 2.57834e7i −0.154451 + 0.129600i
\(236\) −7.80282e7 1.35149e8i −0.386420 0.669299i
\(237\) 6.93860e7 3.93507e8i 0.338573 1.92014i
\(238\) −7.43156e6 + 4.21465e7i −0.0357323 + 0.202648i
\(239\) −2.41715e8 2.02823e8i −1.14528 0.961003i −0.145680 0.989332i \(-0.546537\pi\)
−0.999599 + 0.0283291i \(0.990981\pi\)
\(240\) −1.15942e8 4.21993e7i −0.541377 0.197045i
\(241\) −1.54145e8 5.61041e7i −0.709363 0.258187i −0.0379600 0.999279i \(-0.512086\pi\)
−0.671403 + 0.741092i \(0.734308\pi\)
\(242\) −7.52681e7 6.31575e7i −0.341395 0.286465i
\(243\) 5.53332e7 3.13810e8i 0.247380 1.40296i
\(244\) 4.03144e6 2.28635e7i 0.0177663 0.100758i
\(245\) 2.54041e8 + 4.40012e8i 1.10363 + 1.91154i
\(246\) −6.53238e7 + 5.48132e7i −0.279768 + 0.234754i
\(247\) 1.04642e8 3.80867e7i 0.441843 0.160818i
\(248\) −1.86598e8 + 3.23197e8i −0.776830 + 1.34551i
\(249\) 3.22595e8 + 5.58751e8i 1.32422 + 2.29361i
\(250\) 9.12473e7 + 7.65655e7i 0.369343 + 0.309916i
\(251\) 1.93143e8 3.34534e8i 0.770942 1.33531i −0.166104 0.986108i \(-0.553119\pi\)
0.937047 0.349203i \(-0.113548\pi\)
\(252\) 7.88315e7 + 4.47076e8i 0.310312 + 1.75986i
\(253\) 2.59323e7 0.100674
\(254\) −3.76465e7 2.13504e8i −0.144147 0.817500i
\(255\) 6.56193e7 5.50612e7i 0.247823 0.207948i
\(256\) 1.15585e8 + 4.20694e7i 0.430586 + 0.156721i
\(257\) −2.34204e8 + 8.52433e7i −0.860653 + 0.313252i −0.734376 0.678743i \(-0.762525\pi\)
−0.126277 + 0.991995i \(0.540303\pi\)
\(258\) −1.49137e8 −0.540650
\(259\) 2.09090e8 4.78442e8i 0.747799 1.71112i
\(260\) 1.01769e8 0.359095
\(261\) 9.03959e7 3.29014e7i 0.314707 0.114544i
\(262\) 2.94698e6 + 1.07261e6i 0.0101233 + 0.00368459i
\(263\) −2.56311e8 + 2.15071e8i −0.868806 + 0.729015i −0.963846 0.266459i \(-0.914146\pi\)
0.0950403 + 0.995473i \(0.469702\pi\)
\(264\) 4.58104e6 + 2.59804e7i 0.0153232 + 0.0869023i
\(265\) −2.68628e8 −0.886730
\(266\) 4.14240e7 + 2.34927e8i 0.134948 + 0.765329i
\(267\) −4.32472e8 + 7.49064e8i −1.39049 + 2.40840i
\(268\) −4.79841e7 4.02634e7i −0.152274 0.127773i
\(269\) 1.80505e8 + 3.12644e8i 0.565401 + 0.979302i 0.997012 + 0.0772430i \(0.0246117\pi\)
−0.431612 + 0.902059i \(0.642055\pi\)
\(270\) −1.88173e7 + 3.25926e7i −0.0581815 + 0.100773i
\(271\) −3.36928e8 + 1.22632e8i −1.02836 + 0.374292i −0.800455 0.599392i \(-0.795409\pi\)
−0.227902 + 0.973684i \(0.573187\pi\)
\(272\) 2.73798e7 2.29743e7i 0.0824970 0.0692232i
\(273\) −2.35572e8 4.08023e8i −0.700736 1.21371i
\(274\) −3.59090e7 + 2.03650e8i −0.105457 + 0.598077i
\(275\) −939169. + 5.32629e6i −0.00272320 + 0.0154440i
\(276\) 4.32213e8 + 3.62670e8i 1.23742 + 1.03832i
\(277\) −1.03936e8 3.78296e7i −0.293824 0.106943i 0.190902 0.981609i \(-0.438859\pi\)
−0.484726 + 0.874666i \(0.661081\pi\)
\(278\) 2.19855e6 + 800206.i 0.00613732 + 0.00223380i
\(279\) −6.41214e8 5.38043e8i −1.76762 1.48321i
\(280\) −8.52255e7 + 4.83338e8i −0.232015 + 1.31582i
\(281\) 1.97097e7 1.11779e8i 0.0529917 0.300531i −0.946780 0.321880i \(-0.895685\pi\)
0.999772 + 0.0213494i \(0.00679624\pi\)
\(282\) 2.84154e7 + 4.92170e7i 0.0754540 + 0.130690i
\(283\) 7.40969e7 6.21747e7i 0.194334 0.163065i −0.540429 0.841390i \(-0.681738\pi\)
0.734763 + 0.678324i \(0.237294\pi\)
\(284\) −2.68552e8 + 9.77451e7i −0.695689 + 0.253210i
\(285\) 2.38737e8 4.13505e8i 0.610891 1.05809i
\(286\) −3.31355e6 5.73924e6i −0.00837554 0.0145069i
\(287\) −3.14983e8 2.64302e8i −0.786504 0.659955i
\(288\) −2.43304e8 + 4.21415e8i −0.600172 + 1.03953i
\(289\) −6.69456e7 3.79667e8i −0.163147 0.925254i
\(290\) 4.61966e7 0.111229
\(291\) 1.59292e7 + 9.03387e7i 0.0378937 + 0.214906i
\(292\) 3.69013e8 3.09638e8i 0.867364 0.727805i
\(293\) 7.42944e8 + 2.70410e8i 1.72552 + 0.628037i 0.998295 0.0583646i \(-0.0185886\pi\)
0.727223 + 0.686402i \(0.240811\pi\)
\(294\) 6.76442e8 2.46205e8i 1.55244 0.565042i
\(295\) 3.78411e8 0.858196
\(296\) 3.22234e8 1.59913e8i 0.722188 0.358396i
\(297\) −9.75436e6 −0.0216048
\(298\) −1.69871e8 + 6.18281e7i −0.371846 + 0.135341i
\(299\) −2.99835e8 1.09131e8i −0.648684 0.236102i
\(300\) −9.01427e7 + 7.56387e7i −0.192755 + 0.161741i
\(301\) −1.24874e8 7.08195e8i −0.263930 1.49682i
\(302\) −1.88501e7 −0.0393811
\(303\) 1.10321e8 + 6.25662e8i 0.227829 + 1.29208i
\(304\) 9.96135e7 1.72536e8i 0.203358 0.352226i
\(305\) 4.31248e7 + 3.61860e7i 0.0870316 + 0.0730282i
\(306\) −3.30665e7 5.72728e7i −0.0659725 0.114268i
\(307\) 2.06739e8 3.58082e8i 0.407791 0.706314i −0.586851 0.809695i \(-0.699633\pi\)
0.994642 + 0.103380i \(0.0329659\pi\)
\(308\) −5.30974e7 + 1.93259e7i −0.103549 + 0.0376887i
\(309\) 1.88146e8 1.57874e8i 0.362778 0.304407i
\(310\) −2.00986e8 3.48118e8i −0.383178 0.663684i
\(311\) 8.06876e7 4.57602e8i 0.152106 0.862635i −0.809279 0.587425i \(-0.800142\pi\)
0.961384 0.275209i \(-0.0887472\pi\)
\(312\) 5.63664e7 3.19670e8i 0.105070 0.595882i
\(313\) 2.28768e8 + 1.91959e8i 0.421687 + 0.353838i 0.828804 0.559538i \(-0.189022\pi\)
−0.407117 + 0.913376i \(0.633466\pi\)
\(314\) −3.51553e8 1.27955e8i −0.640822 0.233240i
\(315\) −1.03442e9 3.76499e8i −1.86471 0.678698i
\(316\) 4.51694e8 + 3.79017e8i 0.805267 + 0.675699i
\(317\) −2.63326e7 + 1.49340e8i −0.0464287 + 0.263310i −0.999182 0.0404344i \(-0.987126\pi\)
0.952754 + 0.303745i \(0.0982369\pi\)
\(318\) −6.60896e7 + 3.74813e8i −0.115249 + 0.653611i
\(319\) 5.98674e6 + 1.03693e7i 0.0103258 + 0.0178848i
\(320\) −4.49392e6 + 3.77085e6i −0.00766656 + 0.00643300i
\(321\) 1.21694e9 4.42931e8i 2.05354 0.747426i
\(322\) 3.41765e8 5.91954e8i 0.570469 0.988081i
\(323\) 6.91581e7 + 1.19785e8i 0.114192 + 0.197786i
\(324\) 2.86227e8 + 2.40173e8i 0.467523 + 0.392298i
\(325\) 3.32736e7 5.76316e7i 0.0537660 0.0931255i
\(326\) 2.24405e6 + 1.27267e7i 0.00358733 + 0.0203448i
\(327\) −2.70996e8 −0.428594
\(328\) −4.91926e7 2.78985e8i −0.0769736 0.436539i
\(329\) −2.09920e8 + 1.76144e8i −0.324989 + 0.272698i
\(330\) −2.67017e7 9.71862e6i −0.0409016 0.0148870i
\(331\) −1.34203e7 + 4.88457e6i −0.0203406 + 0.00740336i −0.352170 0.935936i \(-0.614556\pi\)
0.331830 + 0.943339i \(0.392334\pi\)
\(332\) −9.52088e8 −1.42789
\(333\) 2.27719e8 + 7.74045e8i 0.337944 + 1.14871i
\(334\) 1.71748e8 0.252220
\(335\) 1.42729e8 5.19490e7i 0.207422 0.0754953i
\(336\) −7.92075e8 2.88292e8i −1.13914 0.414615i
\(337\) −8.42700e8 + 7.07109e8i −1.19941 + 1.00643i −0.199765 + 0.979844i \(0.564018\pi\)
−0.999647 + 0.0265822i \(0.991538\pi\)
\(338\) −4.10807e7 2.32980e8i −0.0578669 0.328179i
\(339\) 1.59640e9 2.22557
\(340\) 2.19502e7 + 1.24486e8i 0.0302874 + 0.171768i
\(341\) 5.20927e7 9.02272e7i 0.0711437 0.123225i
\(342\) −2.82387e8 2.36951e8i −0.381727 0.320307i
\(343\) 1.03772e9 + 1.79739e9i 1.38852 + 2.40498i
\(344\) 2.47724e8 4.29070e8i 0.328105 0.568295i
\(345\) −1.28562e9 + 4.67926e8i −1.68556 + 0.613494i
\(346\) −1.78611e8 + 1.49872e8i −0.231815 + 0.194516i
\(347\) −2.33544e7 4.04510e7i −0.0300065 0.0519728i 0.850632 0.525761i \(-0.176219\pi\)
−0.880639 + 0.473788i \(0.842886\pi\)
\(348\) −4.52370e7 + 2.56552e8i −0.0575395 + 0.326323i
\(349\) −1.92745e7 + 1.09311e8i −0.0242713 + 0.137649i −0.994536 0.104399i \(-0.966708\pi\)
0.970264 + 0.242048i \(0.0778192\pi\)
\(350\) 1.09205e8 + 9.16343e7i 0.136146 + 0.114240i
\(351\) 1.12782e8 + 4.10494e7i 0.139209 + 0.0506678i
\(352\) −5.69145e7 2.07152e7i −0.0695543 0.0253157i
\(353\) −3.88247e7 3.25778e7i −0.0469782 0.0394194i 0.618996 0.785394i \(-0.287540\pi\)
−0.665974 + 0.745975i \(0.731984\pi\)
\(354\) 9.30990e7 5.27990e8i 0.111541 0.632579i
\(355\) 1.20336e8 6.82460e8i 0.142757 0.809613i
\(356\) −6.38186e8 1.10537e9i −0.749674 1.29847i
\(357\) 4.48290e8 3.76160e8i 0.521459 0.437556i
\(358\) −4.05372e8 + 1.47543e8i −0.466942 + 0.169953i
\(359\) −1.72649e8 + 2.99036e8i −0.196939 + 0.341109i −0.947535 0.319653i \(-0.896434\pi\)
0.750595 + 0.660762i \(0.229767\pi\)
\(360\) −3.79208e8 6.56808e8i −0.428370 0.741958i
\(361\) −9.41373e7 7.89906e7i −0.105314 0.0883690i
\(362\) 1.41206e8 2.44576e8i 0.156449 0.270978i
\(363\) 2.33304e8 + 1.32314e9i 0.256006 + 1.45188i
\(364\) 6.95254e8 0.755594
\(365\) 2.02834e8 + 1.15033e9i 0.218331 + 1.23821i
\(366\) 6.10995e7 5.12686e7i 0.0651409 0.0546597i
\(367\) −6.68985e8 2.43491e8i −0.706456 0.257129i −0.0362913 0.999341i \(-0.511554\pi\)
−0.670165 + 0.742212i \(0.733777\pi\)
\(368\) −5.36425e8 + 1.95243e8i −0.561102 + 0.204224i
\(369\) 6.35392e8 0.658339
\(370\) −2.43731e7 + 3.86703e8i −0.0250152 + 0.396891i
\(371\) −1.83518e9 −1.86582
\(372\) 2.13008e9 7.75285e8i 2.14534 0.780839i
\(373\) −2.60372e8 9.47678e7i −0.259785 0.0945540i 0.208844 0.977949i \(-0.433030\pi\)
−0.468629 + 0.883395i \(0.655252\pi\)
\(374\) 6.30564e6 5.29106e6i 0.00623273 0.00522989i
\(375\) −2.82834e8 1.60403e9i −0.276963 1.57074i
\(376\) −1.88798e8 −0.183164
\(377\) −2.55827e7 1.45087e8i −0.0245896 0.139455i
\(378\) −1.28554e8 + 2.22662e8i −0.122423 + 0.212043i
\(379\) 6.36512e8 + 5.34097e8i 0.600578 + 0.503945i 0.891631 0.452762i \(-0.149561\pi\)
−0.291053 + 0.956707i \(0.594006\pi\)
\(380\) 3.52298e8 + 6.10198e8i 0.329357 + 0.570464i
\(381\) −1.48224e9 + 2.56732e9i −1.37304 + 2.37817i
\(382\) 1.04769e8 3.81329e7i 0.0961640 0.0350008i
\(383\) −1.18537e9 + 9.94640e8i −1.07809 + 0.904629i −0.995761 0.0919761i \(-0.970682\pi\)
−0.0823334 + 0.996605i \(0.526237\pi\)
\(384\) −8.20272e8 1.42075e9i −0.739263 1.28044i
\(385\) 2.37925e7 1.34934e8i 0.0212484 0.120506i
\(386\) −3.55409e7 + 2.01563e8i −0.0314538 + 0.178384i
\(387\) 8.51263e8 + 7.14294e8i 0.746578 + 0.626453i
\(388\) −1.27203e8 4.62982e7i −0.110557 0.0402395i
\(389\) 5.24111e8 + 1.90761e8i 0.451440 + 0.164311i 0.557726 0.830025i \(-0.311674\pi\)
−0.106286 + 0.994336i \(0.533896\pi\)
\(390\) 2.67832e8 + 2.24738e8i 0.228632 + 0.191845i
\(391\) 6.88205e7 3.90301e8i 0.0582237 0.330203i
\(392\) −4.15267e8 + 2.35509e9i −0.348198 + 1.97473i
\(393\) −2.14416e7 3.71380e7i −0.0178190 0.0308634i
\(394\) −3.47261e8 + 2.91387e8i −0.286035 + 0.240012i
\(395\) −1.34357e9 + 4.89018e8i −1.09690 + 0.399241i
\(396\) 4.36581e7 7.56181e7i 0.0353291 0.0611917i
\(397\) −3.12057e8 5.40499e8i −0.250304 0.433539i 0.713306 0.700853i \(-0.247197\pi\)
−0.963609 + 0.267314i \(0.913864\pi\)
\(398\) 3.24560e8 + 2.72339e8i 0.258051 + 0.216530i
\(399\) 1.63098e9 2.82493e9i 1.28541 2.22640i
\(400\) −2.06741e7 1.17249e8i −0.0161516 0.0916005i
\(401\) −1.07624e9 −0.833499 −0.416750 0.909021i \(-0.636831\pi\)
−0.416750 + 0.909021i \(0.636831\pi\)
\(402\) −3.73686e7 2.11928e8i −0.0286890 0.162703i
\(403\) −9.82012e8 + 8.24006e8i −0.747394 + 0.627138i
\(404\) −8.80975e8 3.20649e8i −0.664704 0.241933i
\(405\) −8.51382e8 + 3.09878e8i −0.636842 + 0.231792i
\(406\) 3.15600e8 0.234043
\(407\) −8.99583e7 + 4.46430e7i −0.0661395 + 0.0328226i
\(408\) 4.03182e8 0.293894
\(409\) −4.55269e8 + 1.65704e8i −0.329031 + 0.119757i −0.501253 0.865301i \(-0.667127\pi\)
0.172222 + 0.985058i \(0.444905\pi\)
\(410\) 2.86731e8 + 1.04362e8i 0.205462 + 0.0747820i
\(411\) 2.16612e9 1.81759e9i 1.53899 1.29137i
\(412\) 6.29364e7 + 3.56930e8i 0.0443365 + 0.251445i
\(413\) 2.58518e9 1.80578
\(414\) 1.83415e8 + 1.04020e9i 0.127038 + 0.720470i
\(415\) 1.15433e9 1.99935e9i 0.792795 1.37316i
\(416\) 5.70884e8 + 4.79028e8i 0.388795 + 0.326238i
\(417\) −1.59962e7 2.77061e7i −0.0108029 0.0187111i
\(418\) 2.29413e7 3.97355e7i 0.0153639 0.0266110i
\(419\) 1.47406e9 5.36513e8i 0.978961 0.356313i 0.197525 0.980298i \(-0.436710\pi\)
0.781436 + 0.623985i \(0.214488\pi\)
\(420\) 2.28363e9 1.91620e9i 1.50402 1.26202i
\(421\) 1.25677e9 + 2.17680e9i 0.820862 + 1.42177i 0.905041 + 0.425324i \(0.139840\pi\)
−0.0841790 + 0.996451i \(0.526827\pi\)
\(422\) 1.61611e8 9.16542e8i 0.104683 0.593689i
\(423\) 7.35324e7 4.17023e8i 0.0472376 0.267898i
\(424\) −9.68566e8 8.12723e8i −0.617090 0.517800i
\(425\) 7.76724e7 + 2.82704e7i 0.0490801 + 0.0178637i
\(426\) −9.22619e8 3.35806e8i −0.578214 0.210453i
\(427\) 2.94614e8 + 2.47211e8i 0.183129 + 0.153663i
\(428\) −3.31851e8 + 1.88202e9i −0.204593 + 1.16030i
\(429\) −1.57358e7 + 8.92424e7i −0.00962253 + 0.0545721i
\(430\) 2.66825e8 + 4.62155e8i 0.161841 + 0.280316i
\(431\) −1.36703e9 + 1.14708e9i −0.822448 + 0.690116i −0.953544 0.301254i \(-0.902595\pi\)
0.131096 + 0.991370i \(0.458150\pi\)
\(432\) 2.01775e8 7.34401e7i 0.120413 0.0438268i
\(433\) 8.59774e7 1.48917e8i 0.0508952 0.0881530i −0.839455 0.543429i \(-0.817126\pi\)
0.890351 + 0.455275i \(0.150459\pi\)
\(434\) −1.37307e9 2.37823e9i −0.806268 1.39650i
\(435\) −4.83904e8 4.06044e8i −0.281869 0.236516i
\(436\) 1.99950e8 3.46324e8i 0.115537 0.200115i
\(437\) −3.83611e8 2.17556e9i −0.219890 1.24706i
\(438\) 1.65493e9 0.941068
\(439\) −4.11937e8 2.33621e9i −0.232383 1.31791i −0.848055 0.529908i \(-0.822226\pi\)
0.615672 0.788003i \(-0.288885\pi\)
\(440\) 7.23135e7 6.06782e7i 0.0404702 0.0339585i
\(441\) −5.04028e9 1.83451e9i −2.79846 1.01856i
\(442\) −9.51738e7 + 3.46404e7i −0.0524251 + 0.0190812i
\(443\) 8.98205e7 0.0490865 0.0245433 0.999699i \(-0.492187\pi\)
0.0245433 + 0.999699i \(0.492187\pi\)
\(444\) −2.12368e9 5.14025e8i −1.15146 0.278705i
\(445\) 3.09499e9 1.66494
\(446\) −7.13960e8 + 2.59860e8i −0.381067 + 0.138697i
\(447\) 2.32282e9 + 8.45437e8i 1.23010 + 0.447718i
\(448\) −3.07010e7 + 2.57612e7i −0.0161317 + 0.0135361i
\(449\) −5.36201e8 3.04095e9i −0.279554 1.58543i −0.724114 0.689680i \(-0.757751\pi\)
0.444560 0.895749i \(-0.353360\pi\)
\(450\) −2.20292e8 −0.113961
\(451\) 1.37331e7 + 7.78845e7i 0.00704939 + 0.0399791i
\(452\) −1.17788e9 + 2.04014e9i −0.599950 + 1.03914i
\(453\) 1.97452e8 + 1.65682e8i 0.0997972 + 0.0837398i
\(454\) −3.77205e8 6.53338e8i −0.189183 0.327674i
\(455\) −8.42938e8 + 1.46001e9i −0.419523 + 0.726635i
\(456\) 2.11183e9 7.68644e8i 1.04300 0.379620i
\(457\) −4.46837e8 + 3.74940e8i −0.218999 + 0.183762i −0.745686 0.666297i \(-0.767878\pi\)
0.526687 + 0.850059i \(0.323434\pi\)
\(458\) 3.18482e8 + 5.51626e8i 0.154901 + 0.268297i
\(459\) −2.58867e7 + 1.46811e8i −0.0124949 + 0.0708620i
\(460\) 3.50579e8 1.98823e9i 0.167932 0.952389i
\(461\) 1.75896e9 + 1.47594e9i 0.836185 + 0.701643i 0.956702 0.291068i \(-0.0940108\pi\)
−0.120517 + 0.992711i \(0.538455\pi\)
\(462\) −1.82417e8 6.63945e7i −0.0860635 0.0313246i
\(463\) −6.07559e7 2.21133e7i −0.0284482 0.0103543i 0.327757 0.944762i \(-0.393707\pi\)
−0.356205 + 0.934408i \(0.615930\pi\)
\(464\) −2.01910e8 1.69422e8i −0.0938305 0.0787332i
\(465\) −9.54470e8 + 5.41307e9i −0.440227 + 2.49665i
\(466\) −2.01077e8 + 1.14037e9i −0.0920475 + 0.522028i
\(467\) −1.77945e9 3.08210e9i −0.808494 1.40035i −0.913907 0.405925i \(-0.866950\pi\)
0.105412 0.994429i \(-0.466384\pi\)
\(468\) −8.23011e8 + 6.90588e8i −0.371146 + 0.311429i
\(469\) 9.75076e8 3.54899e8i 0.436449 0.158854i
\(470\) 1.01678e8 1.76111e8i 0.0451735 0.0782428i
\(471\) 2.55783e9 + 4.43028e9i 1.12797 + 1.95370i
\(472\) 1.36440e9 + 1.14487e9i 0.597233 + 0.501138i
\(473\) −6.91572e7 + 1.19784e8i −0.0300485 + 0.0520456i
\(474\) 3.51766e8 + 1.99497e9i 0.151716 + 0.860421i
\(475\) 4.60738e8 0.197254
\(476\) 1.49956e8 + 8.50445e8i 0.0637295 + 0.361428i
\(477\) 2.17241e9 1.82287e9i 0.916488 0.769025i
\(478\) 1.50320e9 + 5.47122e8i 0.629536 + 0.229132i
\(479\) −1.56629e9 + 5.70085e8i −0.651177 + 0.237009i −0.646423 0.762980i \(-0.723736\pi\)
−0.00475458 + 0.999989i \(0.501513\pi\)
\(480\) 3.19538e9 1.31880
\(481\) 1.22799e9 1.37601e8i 0.503139 0.0563786i
\(482\) 8.31620e8 0.338268
\(483\) −8.78292e9 + 3.19672e9i −3.54669 + 1.29089i
\(484\) −1.86307e9 6.78100e8i −0.746912 0.271854i
\(485\) 2.51448e8 2.10990e8i 0.100081 0.0839780i
\(486\) 2.80523e8 + 1.59092e9i 0.110851 + 0.628670i
\(487\) 4.19936e8 0.164752 0.0823762 0.996601i \(-0.473749\pi\)
0.0823762 + 0.996601i \(0.473749\pi\)
\(488\) 4.60115e7 + 2.60944e8i 0.0179224 + 0.101643i
\(489\) 8.83544e7 1.53034e8i 0.0341702 0.0591845i
\(490\) −1.97320e9 1.65571e9i −0.757677 0.635766i
\(491\) −2.03056e9 3.51704e9i −0.774161 1.34089i −0.935265 0.353948i \(-0.884839\pi\)
0.161104 0.986937i \(-0.448494\pi\)
\(492\) −8.60345e8 + 1.49016e9i −0.325683 + 0.564099i
\(493\) 1.71954e8 6.25863e7i 0.0646323 0.0235242i
\(494\) −4.32472e8 + 3.62887e8i −0.161404 + 0.135434i
\(495\) 1.05864e8 + 1.83361e8i 0.0392310 + 0.0679501i
\(496\) −3.98254e8 + 2.25861e9i −0.146546 + 0.831104i
\(497\) 8.22097e8 4.66234e9i 0.300383 1.70356i
\(498\) −2.50567e9 2.10251e9i −0.909120 0.762843i
\(499\) 1.46937e9 + 5.34807e8i 0.529394 + 0.192684i 0.592868 0.805300i \(-0.297996\pi\)
−0.0634736 + 0.997984i \(0.520218\pi\)
\(500\) 2.25859e9 + 8.22058e8i 0.808056 + 0.294108i
\(501\) −1.79904e9 1.50957e9i −0.639159 0.536318i
\(502\) −3.40066e8 + 1.92861e9i −0.119977 + 0.680426i
\(503\) 4.18578e8 2.37387e9i 0.146652 0.831705i −0.819374 0.573260i \(-0.805679\pi\)
0.966026 0.258445i \(-0.0832102\pi\)
\(504\) −2.59063e9 4.48710e9i −0.901359 1.56120i
\(505\) 1.74146e9 1.46126e9i 0.601719 0.504902i
\(506\) −1.23540e8 + 4.49650e7i −0.0423918 + 0.0154294i
\(507\) −1.61746e9 + 2.80152e9i −0.551196 + 0.954699i
\(508\) −2.18731e9 3.78852e9i −0.740264 1.28217i
\(509\) 2.55669e9 + 2.14532e9i 0.859341 + 0.721073i 0.961826 0.273662i \(-0.0882348\pi\)
−0.102485 + 0.994735i \(0.532679\pi\)
\(510\) −2.17135e8 + 3.76089e8i −0.0724828 + 0.125544i
\(511\) 1.38569e9 + 7.85865e9i 0.459403 + 2.60540i
\(512\) 2.40556e9 0.792083
\(513\) 1.44294e8 + 8.18333e8i 0.0471887 + 0.267621i
\(514\) 9.67932e8 8.12191e8i 0.314394 0.263808i
\(515\) −8.25847e8 3.00584e8i −0.266425 0.0969706i
\(516\) −2.82785e9 + 1.02925e9i −0.906113 + 0.329798i
\(517\) 5.27068e7 0.0167745
\(518\) −1.66509e8 + 2.64183e9i −0.0526360 + 0.835123i
\(519\) 3.18823e9 1.00107
\(520\) −1.09146e9 + 3.97259e8i −0.340405 + 0.123897i
\(521\) 2.37201e9 + 8.63340e8i 0.734825 + 0.267454i 0.682206 0.731160i \(-0.261021\pi\)
0.0526193 + 0.998615i \(0.483243\pi\)
\(522\) −3.73593e8 + 3.13482e8i −0.114962 + 0.0964642i
\(523\) −5.55659e8 3.15130e9i −0.169845 0.963238i −0.943927 0.330153i \(-0.892900\pi\)
0.774083 0.633085i \(-0.218212\pi\)
\(524\) 6.32815e7 0.0192140
\(525\) −3.38498e8 1.91972e9i −0.102094 0.579002i
\(526\) 8.48138e8 1.46902e9i 0.254107 0.440126i
\(527\) −1.21974e9 1.02349e9i −0.363020 0.304610i
\(528\) 8.10618e7 + 1.40403e8i 0.0239661 + 0.0415105i
\(529\) −1.46253e9 + 2.53317e9i −0.429546 + 0.743995i
\(530\) 1.27974e9 4.65786e8i 0.373383 0.135900i
\(531\) −3.06022e9 + 2.56783e9i −0.886997 + 0.744279i
\(532\) 2.40678e9 + 4.16867e9i 0.693021 + 1.20035i
\(533\) 1.68976e8 9.58313e8i 0.0483371 0.274133i
\(534\) 7.61449e8 4.31839e9i 0.216395 1.22723i
\(535\) −3.54985e9 2.97867e9i −1.00224 0.840978i
\(536\) 6.71791e8 + 2.44512e8i 0.188433 + 0.0685841i
\(537\) 5.54305e9 + 2.01751e9i 1.54468 + 0.562218i
\(538\) −1.40202e9 1.17644e9i −0.388166 0.325710i
\(539\) 1.15930e8 6.57473e8i 0.0318886 0.180850i
\(540\) −1.31869e8 + 7.47868e8i −0.0360384 + 0.204384i
\(541\) 3.18001e8 + 5.50795e8i 0.0863453 + 0.149554i 0.905964 0.423355i \(-0.139148\pi\)
−0.819618 + 0.572910i \(0.805815\pi\)
\(542\) 1.39248e9 1.16843e9i 0.375656 0.315213i
\(543\) −3.62881e9 + 1.32078e9i −0.972670 + 0.354023i
\(544\) −4.62823e8 + 8.01633e8i −0.123259 + 0.213491i
\(545\) 4.84847e8 + 8.39779e8i 0.128297 + 0.222217i
\(546\) 1.82974e9 + 1.53534e9i 0.481079 + 0.403673i
\(547\) 2.37125e9 4.10712e9i 0.619472 1.07296i −0.370110 0.928988i \(-0.620680\pi\)
0.989582 0.143969i \(-0.0459865\pi\)
\(548\) 7.24582e8 + 4.10931e9i 0.188086 + 1.06669i
\(549\) −5.94303e8 −0.153287
\(550\) −4.76131e6 2.70027e7i −0.00122027 0.00692051i
\(551\) 7.81366e8 6.55644e8i 0.198987 0.166970i
\(552\) −6.05111e9 2.20242e9i −1.53126 0.557332i
\(553\) −9.17880e9 + 3.34081e9i −2.30806 + 0.840067i
\(554\) 5.60742e8 0.140113
\(555\) 3.65422e9 3.83644e9i 0.907339 0.952584i
\(556\) 4.72101e7 0.0116486
\(557\) 1.02266e9 3.72219e8i 0.250749 0.0912651i −0.213588 0.976924i \(-0.568515\pi\)
0.464337 + 0.885659i \(0.346293\pi\)
\(558\) 3.98766e9 + 1.45139e9i 0.971623 + 0.353642i
\(559\) 1.30370e9 1.09393e9i 0.315672 0.264880i
\(560\) 5.23748e8 + 2.97032e9i 0.126027 + 0.714736i
\(561\) −1.12557e8 −0.0269154
\(562\) 9.99223e7 + 5.66688e8i 0.0237457 + 0.134669i
\(563\) 2.32751e9 4.03136e9i 0.549682 0.952077i −0.448614 0.893726i \(-0.648082\pi\)
0.998296 0.0583517i \(-0.0185845\pi\)
\(564\) 8.78463e8 + 7.37118e8i 0.206180 + 0.173006i
\(565\) −2.85616e9 4.94701e9i −0.666212 1.15391i
\(566\) −2.45188e8 + 4.24678e8i −0.0568383 + 0.0984469i
\(567\) −5.81636e9 + 2.11698e9i −1.34002 + 0.487727i
\(568\) 2.49863e9 2.09660e9i 0.572115 0.480062i
\(569\) 3.06156e9 + 5.30277e9i 0.696706 + 1.20673i 0.969602 + 0.244686i \(0.0786850\pi\)
−0.272897 + 0.962043i \(0.587982\pi\)
\(570\) −4.20343e8 + 2.38388e9i −0.0950695 + 0.539166i
\(571\) 3.71793e8 2.10854e9i 0.0835747 0.473976i −0.914080 0.405533i \(-0.867086\pi\)
0.997655 0.0684426i \(-0.0218030\pi\)
\(572\) −1.02438e8 8.59561e7i −0.0228864 0.0192039i
\(573\) −1.43262e9 5.21430e8i −0.318118 0.115786i
\(574\) 1.95885e9 + 7.12965e8i 0.432325 + 0.157353i
\(575\) −1.01131e9 8.48587e8i −0.221843 0.186148i
\(576\) 1.07542e7 6.09899e7i 0.00234476 0.0132978i
\(577\) −5.01509e8 + 2.84420e9i −0.108684 + 0.616375i 0.881001 + 0.473114i \(0.156870\pi\)
−0.989685 + 0.143261i \(0.954241\pi\)
\(578\) 9.77247e8 + 1.69264e9i 0.210502 + 0.364601i
\(579\) 2.14392e9 1.79896e9i 0.459022 0.385165i
\(580\) 8.75953e8 3.18821e8i 0.186416 0.0678498i
\(581\) 7.88599e9 1.36589e10i 1.66817 2.88935i
\(582\) −2.32528e8 4.02750e8i −0.0488928 0.0846848i
\(583\) 2.70395e8 + 2.26888e8i 0.0565144 + 0.0474212i
\(584\) −2.74892e9 + 4.76128e9i −0.571107 + 0.989187i
\(585\) −4.52381e8 2.56558e9i −0.0934240 0.529834i
\(586\) −4.00823e9 −0.822832
\(587\) 2.57505e8 + 1.46039e9i 0.0525476 + 0.298012i 0.999744 0.0226428i \(-0.00720805\pi\)
−0.947196 + 0.320655i \(0.896097\pi\)
\(588\) 1.11271e10 9.33678e9i 2.25716 1.89398i
\(589\) −8.34013e9 3.03556e9i −1.68178 0.612118i
\(590\) −1.80274e9 + 6.56142e8i −0.361368 + 0.131527i
\(591\) 6.19866e9 1.23521
\(592\) 1.52473e9 1.60076e9i 0.302041 0.317103i
\(593\) 4.11023e9 0.809422 0.404711 0.914445i \(-0.367372\pi\)
0.404711 + 0.914445i \(0.367372\pi\)
\(594\) 4.64694e7 1.69135e7i 0.00909734 0.00331116i
\(595\) −1.96772e9 7.16190e8i −0.382960 0.139386i
\(596\) −2.79430e9 + 2.34470e9i −0.540643 + 0.453654i
\(597\) −1.00602e9 5.70543e9i −0.193507 1.09743i
\(598\) 1.61763e9 0.309332
\(599\) −1.65363e8 9.37820e8i −0.0314372 0.178289i 0.965046 0.262080i \(-0.0844084\pi\)
−0.996483 + 0.0837906i \(0.973297\pi\)
\(600\) 6.71509e8 1.16309e9i 0.126918 0.219828i
\(601\) −1.97205e8 1.65474e8i −0.0370559 0.0310936i 0.624072 0.781367i \(-0.285477\pi\)
−0.661127 + 0.750274i \(0.729922\pi\)
\(602\) 1.82286e9 + 3.15729e9i 0.340539 + 0.589830i
\(603\) −8.01735e8 + 1.38865e9i −0.148909 + 0.257917i
\(604\) −3.57424e8 + 1.30092e8i −0.0660015 + 0.0240226i
\(605\) 3.68280e9 3.09024e9i 0.676137 0.567346i
\(606\) −1.61043e9 2.78934e9i −0.293959 0.509152i
\(607\) −1.16338e9 + 6.59786e9i −0.211136 + 1.19741i 0.676352 + 0.736578i \(0.263560\pi\)
−0.887488 + 0.460831i \(0.847551\pi\)
\(608\) −8.95958e8 + 5.08123e9i −0.161668 + 0.916867i
\(609\) −3.30588e9 2.77396e9i −0.593098 0.497668i
\(610\) −2.68189e8 9.76128e7i −0.0478395 0.0174122i
\(611\) −6.09408e8 2.21807e8i −0.108085 0.0393396i
\(612\) −1.02225e9 8.57769e8i −0.180271 0.151266i
\(613\) −1.80116e8 + 1.02149e9i −0.0315822 + 0.179111i −0.996518 0.0833730i \(-0.973431\pi\)
0.964936 + 0.262484i \(0.0845418\pi\)
\(614\) −3.64003e8 + 2.06436e9i −0.0634622 + 0.359912i
\(615\) −2.08619e9 3.61339e9i −0.361653 0.626401i
\(616\) 4.94022e8 4.14534e8i 0.0851557 0.0714542i
\(617\) −4.44378e9 + 1.61740e9i −0.761648 + 0.277217i −0.693499 0.720458i \(-0.743932\pi\)
−0.0681493 + 0.997675i \(0.521709\pi\)
\(618\) −6.22579e8 + 1.07834e9i −0.106105 + 0.183779i
\(619\) 3.62138e9 + 6.27241e9i 0.613701 + 1.06296i 0.990611 + 0.136711i \(0.0436533\pi\)
−0.376910 + 0.926250i \(0.623013\pi\)
\(620\) −6.21349e9 5.21373e9i −1.04704 0.878573i
\(621\) 1.19048e9 2.06198e9i 0.199482 0.345513i
\(622\) 4.09062e8 + 2.31991e9i 0.0681590 + 0.386549i
\(623\) 2.11440e10 3.50331
\(624\) −3.46396e8 1.96451e9i −0.0570725 0.323674i
\(625\) −3.47159e9 + 2.91301e9i −0.568785 + 0.477267i
\(626\) −1.42269e9 5.17816e8i −0.231793 0.0843656i
\(627\) −5.89562e8 + 2.14583e8i −0.0955197 + 0.0347663i
\(628\) −7.54902e9 −1.21627
\(629\) 4.33176e8 + 1.47242e9i 0.0694044 + 0.235914i
\(630\) 5.58077e9 0.889206
\(631\) −2.16776e9 + 7.89000e8i −0.343485 + 0.125018i −0.508002 0.861356i \(-0.669616\pi\)
0.164517 + 0.986374i \(0.447394\pi\)
\(632\) −6.32386e9 2.30170e9i −0.996488 0.362692i
\(633\) −9.74879e9 + 8.18020e9i −1.52770 + 1.28189i
\(634\) −1.33499e8 7.57108e8i −0.0208048 0.117990i
\(635\) 1.06077e10 1.64404
\(636\) 1.33358e9 + 7.56309e9i 0.205550 + 1.16573i
\(637\) −4.10727e9 + 7.11399e9i −0.629600 + 1.09050i
\(638\) −4.65004e7 3.90185e7i −0.00708899 0.00594837i
\(639\) 3.65789e9 + 6.33565e9i 0.554597 + 0.960591i
\(640\) −2.93515e9 + 5.08382e9i −0.442588 + 0.766585i
\(641\) 5.33718e9 1.94258e9i 0.800404 0.291323i 0.0907499 0.995874i \(-0.471074\pi\)
0.709654 + 0.704551i \(0.248851\pi\)
\(642\) −5.02945e9 + 4.22021e9i −0.750150 + 0.629450i
\(643\) −3.07373e8 5.32385e8i −0.0455960 0.0789747i 0.842327 0.538967i \(-0.181185\pi\)
−0.887923 + 0.459993i \(0.847852\pi\)
\(644\) 2.39504e9 1.35829e10i 0.353356 2.00398i
\(645\) 1.26713e9 7.18628e9i 0.185936 1.05450i
\(646\) −5.37167e8 4.50737e8i −0.0783963 0.0657823i
\(647\) −3.85194e9 1.40199e9i −0.559133 0.203508i 0.0469669 0.998896i \(-0.485044\pi\)
−0.606100 + 0.795389i \(0.707267\pi\)
\(648\) −4.00726e9 1.45852e9i −0.578542 0.210572i
\(649\) −3.80900e8 3.19613e8i −0.0546958 0.0458952i
\(650\) −5.85845e7 + 3.32249e8i −0.00836731 + 0.0474534i
\(651\) −6.52063e9 + 3.69803e10i −0.926309 + 5.25336i
\(652\) 1.30382e8 + 2.25828e8i 0.0184226 + 0.0319089i
\(653\) −9.86555e9 + 8.27818e9i −1.38652 + 1.16343i −0.419787 + 0.907622i \(0.637895\pi\)
−0.966729 + 0.255803i \(0.917660\pi\)
\(654\) 1.29101e9 4.69891e8i 0.180472 0.0656863i
\(655\) −7.67236e7 + 1.32889e8i −0.0106680 + 0.0184776i
\(656\) −8.70467e8 1.50769e9i −0.120390 0.208521i
\(657\) −9.44624e9 7.92633e9i −1.29951 1.09042i
\(658\) 6.94629e8 1.20313e9i 0.0950523 0.164635i
\(659\) −5.56729e8 3.15737e9i −0.0757784 0.429760i −0.998968 0.0454161i \(-0.985539\pi\)
0.923190 0.384344i \(-0.125572\pi\)
\(660\) −5.73374e8 −0.0776308
\(661\) 1.26445e9 + 7.17106e9i 0.170293 + 0.965781i 0.943437 + 0.331551i \(0.107572\pi\)
−0.773144 + 0.634230i \(0.781317\pi\)
\(662\) 5.54640e7 4.65399e7i 0.00743034 0.00623479i
\(663\) 1.30141e9 + 4.73673e8i 0.173427 + 0.0631221i
\(664\) 1.02110e10 3.71650e9i 1.35357 0.492658i
\(665\) −1.16721e10 −1.53912
\(666\) −2.42699e9 3.29267e9i −0.318353 0.431905i
\(667\) −2.92264e9 −0.381360
\(668\) 3.25658e9 1.18530e9i 0.422712 0.153855i
\(669\) 9.76269e9 + 3.55333e9i 1.26060 + 0.458822i
\(670\) −5.89877e8 + 4.94966e8i −0.0757705 + 0.0635790i
\(671\) −1.28450e7 7.28479e7i −0.00164137 0.00930868i
\(672\) 2.18298e10 2.77496
\(673\) −2.16704e9 1.22899e10i −0.274040 1.55416i −0.741996 0.670404i \(-0.766121\pi\)
0.467957 0.883751i \(-0.344990\pi\)
\(674\) 2.78851e9 4.82983e9i 0.350802 0.607607i
\(675\) 3.80400e8 + 3.19194e8i 0.0476078 + 0.0399476i
\(676\) −2.38684e9 4.13413e9i −0.297173 0.514719i
\(677\) −5.66747e9 + 9.81635e9i −0.701987 + 1.21588i 0.265781 + 0.964033i \(0.414370\pi\)
−0.967768 + 0.251844i \(0.918963\pi\)
\(678\) −7.60517e9 + 2.76805e9i −0.937141 + 0.341091i
\(679\) 1.71781e9 1.44141e9i 0.210587 0.176703i
\(680\) −7.21344e8 1.24941e9i −0.0879755 0.152378i
\(681\) −1.79132e9 + 1.01591e10i −0.217349 + 1.23265i
\(682\) −9.17191e7 + 5.20165e8i −0.0110717 + 0.0627907i
\(683\) 2.26821e9 + 1.90325e9i 0.272402 + 0.228572i 0.768747 0.639553i \(-0.220880\pi\)
−0.496345 + 0.868125i \(0.665325\pi\)
\(684\) −6.98974e9 2.54406e9i −0.835151 0.303970i
\(685\) −9.50792e9 3.46060e9i −1.13023 0.411372i
\(686\) −8.06023e9 6.76333e9i −0.953263 0.799883i
\(687\) 1.51245e9 8.57751e9i 0.177964 1.00928i
\(688\) 5.28713e8 2.99848e9i 0.0618957 0.351028i
\(689\) −2.17156e9 3.76125e9i −0.252932 0.438091i
\(690\) 5.31327e9 4.45837e9i 0.615730 0.516659i
\(691\) 1.10693e10 4.02891e9i 1.27629 0.464530i 0.387084 0.922044i \(-0.373482\pi\)
0.889202 + 0.457514i \(0.151260\pi\)
\(692\) −2.35239e9 + 4.07445e9i −0.269859 + 0.467410i
\(693\) 7.23227e8 + 1.25267e9i 0.0825483 + 0.142978i
\(694\) 1.81399e8 + 1.52212e8i 0.0206005 + 0.0172859i
\(695\) −5.72383e7 + 9.91397e7i −0.00646756 + 0.0112021i
\(696\) −5.16296e8 2.92806e9i −0.0580452 0.329191i
\(697\) 1.20867e9 0.135205
\(698\) −9.77158e7 5.54174e8i −0.0108760 0.0616811i
\(699\) 1.21295e10 1.01778e10i 1.34330 1.12716i
\(700\) 2.70309e9 + 9.83846e8i 0.297864 + 0.108414i
\(701\) 9.31512e9 3.39043e9i 1.02135 0.371742i 0.223570 0.974688i \(-0.428229\pi\)
0.797782 + 0.602946i \(0.206007\pi\)
\(702\) −6.08468e8 −0.0663831
\(703\) 5.07602e9 + 6.88658e9i 0.551036 + 0.747584i
\(704\) 7.70840e6 0.000832645
\(705\) −2.61299e9 + 9.51050e8i −0.280851 + 0.102221i
\(706\) 2.41447e8 + 8.78796e7i 0.0258230 + 0.00939879i
\(707\) 1.18971e10 9.98285e9i 1.26611 1.06240i
\(708\) −1.87858e9 1.06540e10i −0.198936 1.12822i
\(709\) −8.96959e8 −0.0945171 −0.0472586 0.998883i \(-0.515048\pi\)
−0.0472586 + 0.998883i \(0.515048\pi\)
\(710\) 6.10068e8 + 3.45987e9i 0.0639697 + 0.362790i
\(711\) 7.54707e9 1.30719e10i 0.787471 1.36394i
\(712\) 1.11593e10 + 9.36376e9i 1.15866 + 0.972233i
\(713\) 1.27155e10 + 2.20238e10i 1.31377 + 2.27551i
\(714\) −1.48340e9 + 2.56932e9i −0.152515 + 0.264165i
\(715\) 3.04703e8 1.10903e8i 0.0311750 0.0113468i
\(716\) −6.66817e9 + 5.59526e9i −0.678908 + 0.569672i
\(717\) −1.09370e10 1.89434e10i −1.10810 1.91929i
\(718\) 3.03980e8 1.72396e9i 0.0306486 0.173817i
\(719\) −1.64675e9 + 9.33916e9i −0.165225 + 0.937036i 0.783608 + 0.621256i \(0.213377\pi\)
−0.948832 + 0.315780i \(0.897734\pi\)
\(720\) −3.57038e9 2.99590e9i −0.356493 0.299133i
\(721\) −5.64192e9 2.05349e9i −0.560600 0.204042i
\(722\) 5.85432e8 + 2.13080e8i 0.0578890 + 0.0210699i
\(723\) −8.71113e9 7.30951e9i −0.857217 0.719290i
\(724\) 9.89552e8 5.61203e9i 0.0969067 0.549585i
\(725\) 1.05847e8 6.00288e8i 0.0103156 0.0585028i
\(726\) −3.40569e9 5.89883e9i −0.330314 0.572121i
\(727\) −3.06762e9 + 2.57404e9i −0.296095 + 0.248454i −0.778717 0.627376i \(-0.784129\pi\)
0.482621 + 0.875829i \(0.339685\pi\)
\(728\) −7.45649e9 + 2.71394e9i −0.716267 + 0.260700i
\(729\) 7.05095e9 1.22126e10i 0.674065 1.16751i
\(730\) −2.96089e9 5.12841e9i −0.281703 0.487925i
\(731\) 1.61930e9 + 1.35876e9i 0.153327 + 0.128656i
\(732\) 8.04709e8 1.39380e9i 0.0758315 0.131344i
\(733\) 1.51021e9 + 8.56481e9i 0.141636 + 0.803256i 0.970007 + 0.243077i \(0.0781567\pi\)
−0.828371 + 0.560179i \(0.810732\pi\)
\(734\) 3.60922e9 0.336881
\(735\) 6.11620e9 + 3.46867e10i 0.568167 + 3.22224i
\(736\) 1.13252e10 9.50298e9i 1.04707 0.878593i
\(737\) −1.87544e8 6.82606e7i −0.0172571 0.00628107i
\(738\) −3.02699e9 + 1.10173e9i −0.277213 + 0.100897i
\(739\) −1.51460e10 −1.38052 −0.690260 0.723562i \(-0.742504\pi\)
−0.690260 + 0.723562i \(0.742504\pi\)
\(740\) 2.20664e9 + 7.50064e9i 0.200180 + 0.680436i
\(741\) 7.71969e9 0.697005
\(742\) 8.74274e9 3.18210e9i 0.785659 0.285956i
\(743\) 2.97524e9 + 1.08290e9i 0.266110 + 0.0968563i 0.471629 0.881797i \(-0.343666\pi\)
−0.205519 + 0.978653i \(0.565888\pi\)
\(744\) −1.98184e10 + 1.66296e10i −1.76427 + 1.48039i
\(745\) −1.53593e9 8.71069e9i −0.136089 0.771801i
\(746\) 1.40473e9 0.123881
\(747\) 4.23219e9 + 2.40019e10i 0.371486 + 2.10680i
\(748\) 8.30482e7 1.43844e8i 0.00725562 0.0125671i
\(749\) −2.42514e10 2.03493e10i −2.10887 1.76955i
\(750\) 4.12871e9 + 7.15113e9i 0.357355 + 0.618957i
\(751\) −6.66325e6 + 1.15411e7i −0.000574045 + 0.000994276i −0.866312 0.499503i \(-0.833516\pi\)
0.865738 + 0.500497i \(0.166849\pi\)
\(752\) −1.09027e9 + 3.96827e8i −0.0934916 + 0.0340282i
\(753\) 2.05136e10 1.72130e10i 1.75089 1.46917i
\(754\) 3.73447e8 + 6.46829e8i 0.0317270 + 0.0549528i
\(755\) 1.60158e8 9.08304e8i 0.0135436 0.0768098i
\(756\) −9.00888e8 + 5.10919e9i −0.0758306 + 0.430057i
\(757\) −1.46670e9 1.23071e9i −0.122887 0.103115i 0.579273 0.815134i \(-0.303337\pi\)
−0.702160 + 0.712019i \(0.747781\pi\)
\(758\) −3.95841e9 1.44074e9i −0.330125 0.120156i
\(759\) 1.68929e9 + 6.14852e8i 0.140236 + 0.0510416i
\(760\) −6.16026e9 5.16908e9i −0.509040 0.427135i
\(761\) 1.04021e9 5.89931e9i 0.0855606 0.485238i −0.911674 0.410915i \(-0.865209\pi\)
0.997234 0.0743232i \(-0.0236796\pi\)
\(762\) 2.60977e9 1.48008e10i 0.213678 1.21183i
\(763\) 3.31231e9 + 5.73710e9i 0.269958 + 0.467580i
\(764\) 1.72341e9 1.44611e9i 0.139817 &