Properties

Label 43.7.h.a.12.1
Level $43$
Weight $7$
Character 43.12
Analytic conductor $9.892$
Analytic rank $0$
Dimension $252$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 43.h (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(9.89232559565\)
Analytic rank: \(0\)
Dimension: \(252\)
Relative dimension: \(21\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 12.1
Character \(\chi\) \(=\) 43.12
Dual form 43.7.h.a.18.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-6.35050 - 13.1869i) q^{2} +(-28.5458 - 41.8689i) q^{3} +(-93.6633 + 117.450i) q^{4} +(6.53312 - 7.04103i) q^{5} +(-370.844 + 642.320i) q^{6} +(234.795 - 135.559i) q^{7} +(1230.37 + 280.825i) q^{8} +(-671.815 + 1711.76i) q^{9} +O(q^{10})\) \(q+(-6.35050 - 13.1869i) q^{2} +(-28.5458 - 41.8689i) q^{3} +(-93.6633 + 117.450i) q^{4} +(6.53312 - 7.04103i) q^{5} +(-370.844 + 642.320i) q^{6} +(234.795 - 135.559i) q^{7} +(1230.37 + 280.825i) q^{8} +(-671.815 + 1711.76i) q^{9} +(-134.338 - 41.4379i) q^{10} +(-1498.11 - 1878.56i) q^{11} +(7591.20 + 568.882i) q^{12} +(-2468.24 + 761.352i) q^{13} +(-3278.68 - 2235.37i) q^{14} +(-481.294 - 72.5434i) q^{15} +(-1970.87 - 8634.93i) q^{16} +(1315.50 - 1220.61i) q^{17} +(26839.2 - 2011.32i) q^{18} +(2373.01 - 931.338i) q^{19} +(215.056 + 1426.80i) q^{20} +(-12378.1 - 5961.00i) q^{21} +(-15258.8 + 31685.2i) q^{22} +(4218.25 - 635.799i) q^{23} +(-23364.1 - 59530.8i) q^{24} +(1160.76 + 15489.3i) q^{25} +(25714.5 + 27713.6i) q^{26} +(54831.6 - 12515.0i) q^{27} +(-6070.28 + 40273.7i) q^{28} +(14901.2 - 21856.0i) q^{29} +(2099.83 + 6807.48i) q^{30} +(1319.23 - 17603.9i) q^{31} +(-38204.7 + 30467.2i) q^{32} +(-35889.0 + 116349. i) q^{33} +(-24450.2 - 9596.01i) q^{34} +(579.471 - 2538.83i) q^{35} +(-138121. - 239233. i) q^{36} +(-31991.5 - 18470.3i) q^{37} +(-27351.3 - 25378.3i) q^{38} +(102335. + 81609.4i) q^{39} +(10015.5 - 6828.43i) q^{40} +(-83958.7 + 40432.4i) q^{41} +201085. i q^{42} +(-79452.1 - 2952.79i) q^{43} +360955. q^{44} +(7663.48 + 15913.4i) q^{45} +(-35172.2 - 51588.2i) q^{46} +(9433.24 - 11828.9i) q^{47} +(-305275. + 329009. i) q^{48} +(-22071.9 + 38229.7i) q^{49} +(196885. - 113672. i) q^{50} +(-88657.7 - 20235.6i) q^{51} +(141763. - 361206. i) q^{52} +(264883. + 81705.6i) q^{53} +(-513242. - 643585. i) q^{54} +(-23014.3 - 1724.69i) q^{55} +(326954. - 100852. i) q^{56} +(-106733. - 72769.7i) q^{57} +(-382843. - 57704.4i) q^{58} +(37942.5 + 166237. i) q^{59} +(53599.8 - 49733.3i) q^{60} +(149594. - 11210.5i) q^{61} +(-240519. + 94396.9i) q^{62} +(74305.2 + 492983. i) q^{63} +(133676. + 64375.0i) q^{64} +(-10764.6 + 22353.0i) q^{65} +(1.76220e6 - 265609. i) q^{66} +(59701.0 + 152116. i) q^{67} +(20146.2 + 268833. i) q^{68} +(-147033. - 158464. i) q^{69} +(-37159.3 + 8481.37i) q^{70} +(-7347.90 + 48750.1i) q^{71} +(-1.30729e6 + 1.91744e6i) q^{72} +(24821.6 + 80469.6i) q^{73} +(-40404.9 + 539165. i) q^{74} +(615386. - 490754. i) q^{75} +(-112878. + 365942. i) q^{76} +(-606405. - 237996. i) q^{77} +(426301. - 1.86774e6i) q^{78} +(-125591. - 217529. i) q^{79} +(-73674.7 - 42536.1i) q^{80} +(-1.10652e6 - 1.02670e6i) q^{81} +(1.06636e6 + 850393. i) q^{82} +(-555528. + 378752. i) q^{83} +(1.85950e6 - 895487. i) q^{84} -17236.9i q^{85} +(465622. + 1.06648e6i) q^{86} -1.34045e6 q^{87} +(-1.31568e6 - 2.73204e6i) q^{88} +(-143080. - 209860. i) q^{89} +(161182. - 202116. i) q^{90} +(-476324. + 513355. i) q^{91} +(-320421. + 554985. i) q^{92} +(-774715. + 447282. i) q^{93} +(-215893. - 49276.1i) q^{94} +(8945.59 - 22793.0i) q^{95} +(2.36621e6 + 729880. i) q^{96} +(180441. + 226266. i) q^{97} +(644300. + 48283.6i) q^{98} +(4.22209e6 - 1.30234e6i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 252 q - 14 q^{2} - 11 q^{3} + 1180 q^{4} - 11 q^{5} - 118 q^{6} + 126 q^{7} - 2254 q^{8} - 8178 q^{9} + O(q^{10}) \) \( 252 q - 14 q^{2} - 11 q^{3} + 1180 q^{4} - 11 q^{5} - 118 q^{6} + 126 q^{7} - 2254 q^{8} - 8178 q^{9} + 967 q^{10} + 4090 q^{11} - 484 q^{12} + 1527 q^{13} + 7812 q^{14} - 8923 q^{15} - 13760 q^{16} - 3655 q^{17} + 5596 q^{18} + 38605 q^{19} + 26085 q^{20} + 24873 q^{21} - 25214 q^{22} + 27991 q^{23} - 20480 q^{24} - 24146 q^{25} - 34923 q^{26} - 14 q^{27} - 77634 q^{28} - 112735 q^{29} + 375072 q^{30} + 290647 q^{31} - 344064 q^{32} - 152174 q^{33} - 198311 q^{34} - 182471 q^{35} - 930891 q^{36} + 282762 q^{37} + 487342 q^{38} + 857290 q^{39} + 745459 q^{40} + 27674 q^{41} + 148802 q^{43} - 1255832 q^{44} - 191310 q^{45} - 1344785 q^{46} + 69166 q^{47} - 871241 q^{48} + 1786604 q^{49} + 837705 q^{50} - 182756 q^{51} + 2906416 q^{52} + 7779 q^{53} + 487154 q^{54} - 529592 q^{55} - 2464007 q^{56} - 767855 q^{57} - 1523780 q^{58} + 1531338 q^{59} - 1858647 q^{60} + 646957 q^{61} - 448559 q^{62} - 2007847 q^{63} + 3937366 q^{64} - 1473542 q^{65} + 1513319 q^{66} - 575523 q^{67} + 2717157 q^{68} + 967041 q^{69} + 4624473 q^{70} - 2149319 q^{71} - 9986371 q^{72} - 514565 q^{73} - 882972 q^{74} - 6655138 q^{75} + 1152658 q^{76} - 341803 q^{77} + 6322388 q^{78} - 2476742 q^{79} + 10750038 q^{80} + 4308941 q^{81} + 5079172 q^{82} + 2318609 q^{83} + 5578407 q^{84} + 585292 q^{86} - 1990710 q^{87} - 2864890 q^{88} - 4561993 q^{89} - 17681545 q^{90} - 4648506 q^{91} - 1991714 q^{92} - 8868294 q^{93} - 10200218 q^{94} + 10091737 q^{95} + 6250318 q^{96} - 1676750 q^{97} + 7512700 q^{98} + 18452884 q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{13}{42}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −6.35050 13.1869i −0.793812 1.64837i −0.760864 0.648911i \(-0.775225\pi\)
−0.0329479 0.999457i \(-0.510490\pi\)
\(3\) −28.5458 41.8689i −1.05725 1.55070i −0.814110 0.580711i \(-0.802775\pi\)
−0.243141 0.969991i \(-0.578178\pi\)
\(4\) −93.6633 + 117.450i −1.46349 + 1.83516i
\(5\) 6.53312 7.04103i 0.0522650 0.0563283i −0.706378 0.707835i \(-0.749672\pi\)
0.758643 + 0.651506i \(0.225863\pi\)
\(6\) −370.844 + 642.320i −1.71687 + 2.97370i
\(7\) 234.795 135.559i 0.684535 0.395216i −0.117027 0.993129i \(-0.537336\pi\)
0.801561 + 0.597912i \(0.204003\pi\)
\(8\) 1230.37 + 280.825i 2.40307 + 0.548485i
\(9\) −671.815 + 1711.76i −0.921556 + 2.34809i
\(10\) −134.338 41.4379i −0.134338 0.0414379i
\(11\) −1498.11 1878.56i −1.12555 1.41139i −0.899305 0.437323i \(-0.855927\pi\)
−0.226244 0.974071i \(-0.572645\pi\)
\(12\) 7591.20 + 568.882i 4.39306 + 0.329214i
\(13\) −2468.24 + 761.352i −1.12346 + 0.346542i −0.800179 0.599761i \(-0.795262\pi\)
−0.323282 + 0.946303i \(0.604786\pi\)
\(14\) −3278.68 2235.37i −1.19485 0.814638i
\(15\) −481.294 72.5434i −0.142606 0.0214943i
\(16\) −1970.87 8634.93i −0.481168 2.10814i
\(17\) 1315.50 1220.61i 0.267760 0.248445i −0.534853 0.844945i \(-0.679633\pi\)
0.802613 + 0.596500i \(0.203443\pi\)
\(18\) 26839.2 2011.32i 4.60205 0.344876i
\(19\) 2373.01 931.338i 0.345970 0.135783i −0.185992 0.982551i \(-0.559550\pi\)
0.531962 + 0.846768i \(0.321455\pi\)
\(20\) 215.056 + 1426.80i 0.0268820 + 0.178350i
\(21\) −12378.1 5961.00i −1.33659 0.643667i
\(22\) −15258.8 + 31685.2i −1.43302 + 2.97570i
\(23\) 4218.25 635.799i 0.346696 0.0522560i 0.0266138 0.999646i \(-0.491528\pi\)
0.320082 + 0.947390i \(0.396289\pi\)
\(24\) −23364.1 59530.8i −1.69011 4.30633i
\(25\) 1160.76 + 15489.3i 0.0742888 + 0.991316i
\(26\) 25714.5 + 27713.6i 1.46305 + 1.57679i
\(27\) 54831.6 12515.0i 2.78573 0.635826i
\(28\) −6070.28 + 40273.7i −0.276525 + 1.83462i
\(29\) 14901.2 21856.0i 0.610979 0.896141i −0.388703 0.921363i \(-0.627077\pi\)
0.999682 + 0.0252220i \(0.00802925\pi\)
\(30\) 2099.83 + 6807.48i 0.0777715 + 0.252129i
\(31\) 1319.23 17603.9i 0.0442828 0.590913i −0.930287 0.366831i \(-0.880443\pi\)
0.974570 0.224082i \(-0.0719384\pi\)
\(32\) −38204.7 + 30467.2i −1.16591 + 0.929785i
\(33\) −35889.0 + 116349.i −0.998663 + 3.23759i
\(34\) −24450.2 9596.01i −0.622080 0.244148i
\(35\) 579.471 2538.83i 0.0135154 0.0592146i
\(36\) −138121. 239233.i −2.96042 5.12760i
\(37\) −31991.5 18470.3i −0.631581 0.364644i 0.149783 0.988719i \(-0.452142\pi\)
−0.781364 + 0.624075i \(0.785476\pi\)
\(38\) −27351.3 25378.3i −0.498456 0.462500i
\(39\) 102335. + 81609.4i 1.72516 + 1.37577i
\(40\) 10015.5 6828.43i 0.156492 0.106694i
\(41\) −83958.7 + 40432.4i −1.21819 + 0.586648i −0.928806 0.370565i \(-0.879164\pi\)
−0.289382 + 0.957214i \(0.593450\pi\)
\(42\) 201085.i 2.71414i
\(43\) −79452.1 2952.79i −0.999310 0.0371388i
\(44\) 360955. 4.23736
\(45\) 7663.48 + 15913.4i 0.0840985 + 0.174632i
\(46\) −35172.2 51588.2i −0.361349 0.530001i
\(47\) 9433.24 11828.9i 0.0908589 0.113933i −0.734324 0.678799i \(-0.762501\pi\)
0.825183 + 0.564866i \(0.191072\pi\)
\(48\) −305275. + 329009.i −2.76038 + 2.97498i
\(49\) −22071.9 + 38229.7i −0.187608 + 0.324947i
\(50\) 196885. 113672.i 1.57508 0.909374i
\(51\) −88657.7 20235.6i −0.668353 0.152547i
\(52\) 141763. 361206.i 1.00821 2.56889i
\(53\) 264883. + 81705.6i 1.77921 + 0.548813i 0.997222 0.0744842i \(-0.0237310\pi\)
0.781985 + 0.623297i \(0.214207\pi\)
\(54\) −513242. 643585.i −3.25942 4.08719i
\(55\) −23014.3 1724.69i −0.138328 0.0103663i
\(56\) 326954. 100852.i 1.86176 0.574276i
\(57\) −106733. 72769.7i −0.576337 0.392940i
\(58\) −382843. 57704.4i −1.96217 0.295750i
\(59\) 37942.5 + 166237.i 0.184744 + 0.809415i 0.979331 + 0.202265i \(0.0648302\pi\)
−0.794587 + 0.607150i \(0.792313\pi\)
\(60\) 53599.8 49733.3i 0.248147 0.230247i
\(61\) 149594. 11210.5i 0.659058 0.0493896i 0.258997 0.965878i \(-0.416608\pi\)
0.400061 + 0.916489i \(0.368989\pi\)
\(62\) −240519. + 94396.9i −1.00920 + 0.396080i
\(63\) 74305.2 + 492983.i 0.297165 + 1.97156i
\(64\) 133676. + 64375.0i 0.509934 + 0.245571i
\(65\) −10764.6 + 22353.0i −0.0391976 + 0.0813946i
\(66\) 1.76220e6 265609.i 6.12949 0.923871i
\(67\) 59701.0 + 152116.i 0.198498 + 0.505766i 0.995115 0.0987187i \(-0.0314744\pi\)
−0.796617 + 0.604484i \(0.793379\pi\)
\(68\) 20146.2 + 268833.i 0.0640718 + 0.854978i
\(69\) −147033. 158464.i −0.447578 0.482374i
\(70\) −37159.3 + 8481.37i −0.108336 + 0.0247270i
\(71\) −7347.90 + 48750.1i −0.0205300 + 0.136207i −0.996748 0.0805847i \(-0.974321\pi\)
0.976218 + 0.216792i \(0.0695593\pi\)
\(72\) −1.30729e6 + 1.91744e6i −3.50246 + 5.13716i
\(73\) 24821.6 + 80469.6i 0.0638059 + 0.206854i 0.981862 0.189597i \(-0.0607181\pi\)
−0.918056 + 0.396450i \(0.870242\pi\)
\(74\) −40404.9 + 539165.i −0.0997099 + 1.33054i
\(75\) 615386. 490754.i 1.45869 1.16327i
\(76\) −112878. + 365942.i −0.257140 + 0.833627i
\(77\) −606405. 237996.i −1.32828 0.521313i
\(78\) 426301. 1.86774e6i 0.898322 3.93581i
\(79\) −125591. 217529.i −0.254728 0.441201i 0.710094 0.704107i \(-0.248652\pi\)
−0.964821 + 0.262906i \(0.915319\pi\)
\(80\) −73674.7 42536.1i −0.143896 0.0830784i
\(81\) −1.10652e6 1.02670e6i −2.08211 1.93191i
\(82\) 1.06636e6 + 850393.i 1.93403 + 1.54233i
\(83\) −555528. + 378752.i −0.971564 + 0.662401i −0.941453 0.337145i \(-0.890539\pi\)
−0.0301114 + 0.999547i \(0.509586\pi\)
\(84\) 1.85950e6 895487.i 3.13731 1.51085i
\(85\) 17236.9i 0.0280674i
\(86\) 465622. + 1.06648e6i 0.732046 + 1.67671i
\(87\) −1.34045e6 −2.03561
\(88\) −1.31568e6 2.73204e6i −1.93065 4.00903i
\(89\) −143080. 209860.i −0.202960 0.297687i 0.711241 0.702948i \(-0.248133\pi\)
−0.914201 + 0.405260i \(0.867181\pi\)
\(90\) 161182. 202116.i 0.221100 0.277251i
\(91\) −476324. + 513355.i −0.632089 + 0.681230i
\(92\) −320421. + 554985.i −0.411488 + 0.712718i
\(93\) −774715. + 447282.i −0.963149 + 0.556074i
\(94\) −215893. 49276.1i −0.259929 0.0593271i
\(95\) 8945.59 22793.0i 0.0104337 0.0265846i
\(96\) 2.36621e6 + 729880.i 2.67448 + 0.824969i
\(97\) 180441. + 226266.i 0.197706 + 0.247916i 0.870795 0.491646i \(-0.163604\pi\)
−0.673089 + 0.739561i \(0.735033\pi\)
\(98\) 644300. + 48283.6i 0.684558 + 0.0513005i
\(99\) 4.22209e6 1.30234e6i 4.35133 1.34221i
\(100\) −1.92794e6 1.31445e6i −1.92794 1.31445i
\(101\) −474775. 71560.8i −0.460812 0.0694562i −0.0854660 0.996341i \(-0.527238\pi\)
−0.375346 + 0.926885i \(0.622476\pi\)
\(102\) 296176. + 1.29763e6i 0.279093 + 1.22279i
\(103\) 312455. 289916.i 0.285941 0.265315i −0.524140 0.851632i \(-0.675613\pi\)
0.810081 + 0.586317i \(0.199423\pi\)
\(104\) −3.25067e6 + 243604.i −2.88983 + 0.216563i
\(105\) −122839. + 48210.9i −0.106113 + 0.0416464i
\(106\) −604692. 4.01187e6i −0.507711 3.36844i
\(107\) 1.19282e6 + 574430.i 0.973694 + 0.468906i 0.851932 0.523653i \(-0.175431\pi\)
0.121762 + 0.992559i \(0.461145\pi\)
\(108\) −3.66583e6 + 7.61217e6i −2.91005 + 6.04279i
\(109\) −1.02600e6 + 154644.i −0.792259 + 0.119414i −0.532690 0.846311i \(-0.678819\pi\)
−0.259569 + 0.965725i \(0.583581\pi\)
\(110\) 123409. + 314441.i 0.0927191 + 0.236245i
\(111\) 139890. + 1.86670e6i 0.102286 + 1.36491i
\(112\) −1.63329e6 1.76027e6i −1.16255 1.25293i
\(113\) −1.69423e6 + 386696.i −1.17418 + 0.268000i −0.764742 0.644337i \(-0.777134\pi\)
−0.409442 + 0.912336i \(0.634276\pi\)
\(114\) −281799. + 1.86961e6i −0.190206 + 1.26194i
\(115\) 23081.7 33854.6i 0.0151766 0.0222599i
\(116\) 1.17130e6 + 3.79725e6i 0.750399 + 2.43274i
\(117\) 354953. 4.73652e6i 0.221622 2.95734i
\(118\) 1.95120e6 1.55603e6i 1.18756 0.947049i
\(119\) 143410. 464922.i 0.0851015 0.275892i
\(120\) −571799. 224414.i −0.330902 0.129869i
\(121\) −890476. + 3.90143e6i −0.502650 + 2.20226i
\(122\) −1.09783e6 1.90149e6i −0.604581 1.04716i
\(123\) 4.08953e6 + 2.36109e6i 2.19765 + 1.26881i
\(124\) 1.94402e6 + 1.80378e6i 1.01961 + 0.946062i
\(125\) 233981. + 186594.i 0.119798 + 0.0955360i
\(126\) 6.02906e6 4.11055e6i 3.01397 2.05489i
\(127\) −912647. + 439508.i −0.445545 + 0.214563i −0.643184 0.765712i \(-0.722387\pi\)
0.197639 + 0.980275i \(0.436673\pi\)
\(128\) 955806.i 0.455764i
\(129\) 2.14439e6 + 3.41087e6i 0.998930 + 1.58890i
\(130\) 363128. 0.165284
\(131\) −997312. 2.07094e6i −0.443626 0.921199i −0.996147 0.0876999i \(-0.972048\pi\)
0.552521 0.833499i \(-0.313666\pi\)
\(132\) −1.03037e7 1.51128e7i −4.47995 6.57088i
\(133\) 430920. 540357.i 0.183165 0.229681i
\(134\) 1.62681e6 1.75328e6i 0.676118 0.728682i
\(135\) 270103. 467833.i 0.109781 0.190147i
\(136\) 1.96134e6 1.13238e6i 0.779715 0.450169i
\(137\) 1.71118e6 + 390565.i 0.665477 + 0.151891i 0.541898 0.840444i \(-0.317706\pi\)
0.123578 + 0.992335i \(0.460563\pi\)
\(138\) −1.15592e6 + 2.94525e6i −0.439838 + 1.12069i
\(139\) −3.12237e6 963122.i −1.16262 0.358622i −0.347372 0.937728i \(-0.612926\pi\)
−0.815253 + 0.579106i \(0.803402\pi\)
\(140\) 243910. + 305854.i 0.0888886 + 0.111463i
\(141\) −764543. 57294.6i −0.272737 0.0204388i
\(142\) 689528. 212691.i 0.240817 0.0742821i
\(143\) 5.12794e6 + 3.49617e6i 1.75362 + 1.19560i
\(144\) 1.61049e7 + 2.42743e6i 5.39351 + 0.812941i
\(145\) −56537.6 247707.i −0.0185453 0.0812522i
\(146\) 903519. 838343.i 0.290321 0.269379i
\(147\) 2.23070e6 167168.i 0.702244 0.0526259i
\(148\) 5.16577e6 2.02741e6i 1.59349 0.625399i
\(149\) −507000. 3.36372e6i −0.153267 1.01686i −0.924740 0.380599i \(-0.875718\pi\)
0.771473 0.636262i \(-0.219520\pi\)
\(150\) −1.03796e7 4.99853e6i −3.07542 1.48105i
\(151\) −2.65988e6 + 5.52330e6i −0.772558 + 1.60423i 0.0240305 + 0.999711i \(0.492350\pi\)
−0.796588 + 0.604522i \(0.793364\pi\)
\(152\) 3.18123e6 479493.i 0.905866 0.136537i
\(153\) 1.20561e6 + 3.07185e6i 0.336615 + 0.857680i
\(154\) 712528. + 9.50802e6i 0.195092 + 2.60332i
\(155\) −115331. 124297.i −0.0309707 0.0333785i
\(156\) −1.91701e7 + 4.37544e6i −5.04951 + 1.15252i
\(157\) 461838. 3.06410e6i 0.119341 0.791778i −0.846452 0.532465i \(-0.821266\pi\)
0.965793 0.259313i \(-0.0834962\pi\)
\(158\) −2.07098e6 + 3.03758e6i −0.525056 + 0.770116i
\(159\) −4.14036e6 1.34227e7i −1.03002 3.33925i
\(160\) −35075.2 + 468046.i −0.00856329 + 0.114269i
\(161\) 904237. 721105.i 0.216673 0.172791i
\(162\) −6.51207e6 + 2.11116e7i −1.53170 + 4.96565i
\(163\) −3.44357e6 1.35150e6i −0.795144 0.312071i −0.0672285 0.997738i \(-0.521416\pi\)
−0.727916 + 0.685666i \(0.759511\pi\)
\(164\) 3.11507e6 1.36480e7i 0.706213 3.09412i
\(165\) 584751. + 1.01282e6i 0.130173 + 0.225465i
\(166\) 8.52246e6 + 4.92045e6i 1.86312 + 1.07567i
\(167\) 1.84559e6 + 1.71245e6i 0.396264 + 0.367680i 0.852989 0.521928i \(-0.174787\pi\)
−0.456725 + 0.889608i \(0.650978\pi\)
\(168\) −1.35557e7 1.08103e7i −2.85887 2.27988i
\(169\) 1.52447e6 1.03937e6i 0.315834 0.215332i
\(170\) −227302. + 109463.i −0.0462655 + 0.0222803i
\(171\) 4.68770e6i 0.937500i
\(172\) 7.78856e6 9.05510e6i 1.53064 1.77954i
\(173\) −8.21499e6 −1.58660 −0.793302 0.608828i \(-0.791640\pi\)
−0.793302 + 0.608828i \(0.791640\pi\)
\(174\) 8.51254e6 + 1.76765e7i 1.61589 + 3.35543i
\(175\) 2.37226e6 + 3.47947e6i 0.442637 + 0.649230i
\(176\) −1.32687e7 + 1.66384e7i −2.43383 + 3.05193i
\(177\) 5.87707e6 6.33397e6i 1.05984 1.14224i
\(178\) −1.85879e6 + 3.21951e6i −0.329586 + 0.570860i
\(179\) −69167.8 + 39934.0i −0.0120599 + 0.00696280i −0.506018 0.862523i \(-0.668883\pi\)
0.493958 + 0.869486i \(0.335550\pi\)
\(180\) −2.58682e6 590424.i −0.443555 0.101239i
\(181\) 2.98442e6 7.60418e6i 0.503297 1.28238i −0.423186 0.906043i \(-0.639088\pi\)
0.926483 0.376337i \(-0.122817\pi\)
\(182\) 9.79448e6 + 3.02120e6i 1.62468 + 0.501147i
\(183\) −4.73964e6 5.94332e6i −0.773378 0.969785i
\(184\) 5.36857e6 + 402319.i 0.861797 + 0.0645828i
\(185\) −339054. + 104584.i −0.0535493 + 0.0165178i
\(186\) 1.08181e7 + 7.37566e6i 1.68117 + 1.14621i
\(187\) −4.26376e6 642658.i −0.652030 0.0982778i
\(188\) 505758. + 2.21587e6i 0.0761148 + 0.333481i
\(189\) 1.11777e7 1.03714e7i 1.65564 1.53621i
\(190\) −357379. + 26781.8i −0.0521036 + 0.00390463i
\(191\) −3.89967e6 + 1.53051e6i −0.559664 + 0.219652i −0.628275 0.777991i \(-0.716239\pi\)
0.0686106 + 0.997644i \(0.478143\pi\)
\(192\) −1.12057e6 7.43451e6i −0.158320 1.05039i
\(193\) −2.38094e6 1.14660e6i −0.331189 0.159492i 0.260898 0.965366i \(-0.415982\pi\)
−0.592087 + 0.805874i \(0.701696\pi\)
\(194\) 1.83787e6 3.81637e6i 0.251715 0.522691i
\(195\) 1.24318e6 187379.i 0.167660 0.0252707i
\(196\) −2.42275e6 6.17307e6i −0.321766 0.819847i
\(197\) 389909. + 5.20298e6i 0.0509994 + 0.680539i 0.962853 + 0.270025i \(0.0870319\pi\)
−0.911854 + 0.410515i \(0.865349\pi\)
\(198\) −4.39863e7 4.74060e7i −5.66659 6.10713i
\(199\) −7.77427e6 + 1.77443e6i −0.986508 + 0.225164i −0.685194 0.728361i \(-0.740282\pi\)
−0.301314 + 0.953525i \(0.597425\pi\)
\(200\) −2.92161e6 + 1.93836e7i −0.365201 + 2.42295i
\(201\) 4.66471e6 6.84187e6i 0.574429 0.842533i
\(202\) 2.07139e6 + 6.71527e6i 0.251309 + 0.814722i
\(203\) 535944. 7.15167e6i 0.0640665 0.854908i
\(204\) 1.06806e7 8.51753e6i 1.25808 1.00328i
\(205\) −263827. + 855306.i −0.0306237 + 0.0992796i
\(206\) −5.80736e6 2.27922e6i −0.664319 0.260726i
\(207\) −1.74555e6 + 7.64775e6i −0.196798 + 0.862229i
\(208\) 1.14388e7 + 1.98126e7i 1.27113 + 2.20166i
\(209\) −5.30460e6 3.06261e6i −0.581050 0.335469i
\(210\) 1.41585e6 + 1.31371e6i 0.152883 + 0.141854i
\(211\) 8.97614e6 + 7.15823e6i 0.955525 + 0.762006i 0.971297 0.237870i \(-0.0764491\pi\)
−0.0157717 + 0.999876i \(0.505021\pi\)
\(212\) −3.44062e7 + 2.34577e7i −3.61101 + 2.46194i
\(213\) 2.25087e6 1.08396e6i 0.232922 0.112169i
\(214\) 1.93775e7i 1.97723i
\(215\) −539861. + 540134.i −0.0543209 + 0.0543483i
\(216\) 7.09778e7 7.04306
\(217\) −2.07662e6 4.31215e6i −0.203226 0.422002i
\(218\) 8.55488e6 + 1.25477e7i 0.825743 + 1.21114i
\(219\) 2.66063e6 3.33632e6i 0.253310 0.317640i
\(220\) 2.35816e6 2.54150e6i 0.221465 0.238683i
\(221\) −2.31767e6 + 4.01432e6i −0.214721 + 0.371908i
\(222\) 2.37277e7 1.36992e7i 2.16868 1.25209i
\(223\) −9.42428e6 2.15103e6i −0.849833 0.193969i −0.224643 0.974441i \(-0.572122\pi\)
−0.625190 + 0.780472i \(0.714979\pi\)
\(224\) −4.84017e6 + 1.23326e7i −0.430642 + 1.09726i
\(225\) −2.72937e7 8.41900e6i −2.39616 0.739117i
\(226\) 1.58585e7 + 1.98860e7i 1.37384 + 1.72275i
\(227\) 1.24175e7 + 930565.i 1.06159 + 0.0795553i 0.594060 0.804421i \(-0.297524\pi\)
0.467532 + 0.883976i \(0.345143\pi\)
\(228\) 1.85438e7 5.72001e6i 1.56457 0.482606i
\(229\) 323763. + 220738.i 0.0269600 + 0.0183810i 0.576725 0.816938i \(-0.304330\pi\)
−0.549765 + 0.835319i \(0.685283\pi\)
\(230\) −593019. 89383.2i −0.0487399 0.00734636i
\(231\) 7.34563e6 + 3.21833e7i 0.595927 + 2.61093i
\(232\) 2.44717e7 2.27064e7i 1.95975 1.81838i
\(233\) −2.35803e6 + 176710.i −0.186415 + 0.0139699i −0.167610 0.985853i \(-0.553605\pi\)
−0.0188046 + 0.999823i \(0.505986\pi\)
\(234\) −6.47143e7 + 2.53985e7i −5.05071 + 1.98226i
\(235\) −21659.2 143699.i −0.00166893 0.0110726i
\(236\) −2.30784e7 1.11140e7i −1.75578 0.845537i
\(237\) −5.52264e6 + 1.14679e7i −0.414860 + 0.861467i
\(238\) −7.04163e6 + 1.06135e6i −0.522327 + 0.0787281i
\(239\) −8.83509e6 2.25114e7i −0.647168 1.64896i −0.755742 0.654870i \(-0.772724\pi\)
0.108574 0.994088i \(-0.465372\pi\)
\(240\) 322159. + 4.29891e6i 0.0233043 + 0.310974i
\(241\) 3.95137e6 + 4.25856e6i 0.282290 + 0.304237i 0.858240 0.513248i \(-0.171558\pi\)
−0.575950 + 0.817485i \(0.695368\pi\)
\(242\) 5.71029e7 1.30334e7i 4.02914 0.919624i
\(243\) −5.28961e6 + 3.50943e7i −0.368642 + 2.44578i
\(244\) −1.26948e7 + 1.86198e7i −0.873887 + 1.28176i
\(245\) 124978. + 405168.i 0.00849835 + 0.0275510i
\(246\) 5.16503e6 6.89225e7i 0.346950 4.62973i
\(247\) −5.14809e6 + 4.10546e6i −0.341629 + 0.272440i
\(248\) 6.56675e6 2.12889e7i 0.430522 1.39572i
\(249\) 3.17159e7 + 1.24476e7i 2.05437 + 0.806282i
\(250\) 974704. 4.27046e6i 0.0623811 0.273309i
\(251\) −1.44763e6 2.50737e6i −0.0915454 0.158561i 0.816616 0.577181i \(-0.195847\pi\)
−0.908162 + 0.418620i \(0.862514\pi\)
\(252\) −6.48606e7 3.74473e7i −4.05302 2.34001i
\(253\) −7.51377e6 6.97176e6i −0.463977 0.430508i
\(254\) 1.15915e7 + 9.24393e6i 0.707358 + 0.564099i
\(255\) −721691. + 492041.i −0.0435242 + 0.0296743i
\(256\) 2.11594e7 1.01898e7i 1.26120 0.607362i
\(257\) 9.18595e6i 0.541159i −0.962698 0.270579i \(-0.912785\pi\)
0.962698 0.270579i \(-0.0872152\pi\)
\(258\) 3.13610e7 4.99387e7i 1.82612 2.90789i
\(259\) −1.00153e7 −0.576452
\(260\) −1.61711e6 3.35796e6i −0.0920067 0.191054i
\(261\) 2.74013e7 + 4.01903e7i 1.54117 + 2.26048i
\(262\) −2.09759e7 + 2.63030e7i −1.16632 + 1.46252i
\(263\) 827212. 891522.i 0.0454726 0.0490078i −0.709906 0.704297i \(-0.751263\pi\)
0.755378 + 0.655289i \(0.227453\pi\)
\(264\) −7.68305e7 + 1.33074e8i −4.17563 + 7.23240i
\(265\) 2.30581e6 1.33126e6i 0.123904 0.0715360i
\(266\) −9.86222e6 2.25099e6i −0.523998 0.119599i
\(267\) −4.70230e6 + 1.19813e7i −0.247045 + 0.629460i
\(268\) −2.34578e7 7.23577e6i −1.21866 0.375907i
\(269\) −1.19532e7 1.49889e7i −0.614086 0.770039i 0.373413 0.927665i \(-0.378187\pi\)
−0.987499 + 0.157626i \(0.949616\pi\)
\(270\) −7.88458e6 590868.i −0.400578 0.0300192i
\(271\) −6.99959e6 + 2.15909e6i −0.351694 + 0.108483i −0.465568 0.885012i \(-0.654150\pi\)
0.113875 + 0.993495i \(0.463674\pi\)
\(272\) −1.31326e7 8.95363e6i −0.652594 0.444931i
\(273\) 3.50907e7 + 5.28907e6i 1.72466 + 0.259951i
\(274\) −5.71646e6 2.50455e7i −0.277892 1.21752i
\(275\) 2.73587e7 2.53852e7i 1.31552 1.22062i
\(276\) 3.23833e7 2.42679e6i 1.54026 0.115426i
\(277\) 1.35815e7 5.33034e6i 0.639010 0.250793i −0.0236420 0.999720i \(-0.507526\pi\)
0.662652 + 0.748928i \(0.269431\pi\)
\(278\) 7.12794e6 + 4.72908e7i 0.331764 + 2.20111i
\(279\) 2.92473e7 + 1.40848e7i 1.34671 + 0.648540i
\(280\) 1.42593e6 2.96097e6i 0.0649567 0.134884i
\(281\) 2.00840e7 3.02717e6i 0.905171 0.136433i 0.320071 0.947394i \(-0.396293\pi\)
0.585100 + 0.810961i \(0.301055\pi\)
\(282\) 4.09969e6 + 1.04458e7i 0.182811 + 0.465796i
\(283\) −300913. 4.01540e6i −0.0132764 0.177162i −0.999900 0.0141461i \(-0.995497\pi\)
0.986624 0.163015i \(-0.0521220\pi\)
\(284\) −5.03748e6 5.42911e6i −0.219917 0.237014i
\(285\) −1.20968e6 + 276101.i −0.0522558 + 0.0119271i
\(286\) 1.35388e7 8.98242e7i 0.578739 3.83968i
\(287\) −1.42321e7 + 2.08747e7i −0.602039 + 0.883029i
\(288\) −2.64860e7 8.58654e7i −1.10876 3.59452i
\(289\) −1.56314e6 + 2.08586e7i −0.0647596 + 0.864157i
\(290\) −2.90746e6 + 2.31862e6i −0.119212 + 0.0950684i
\(291\) 4.32269e6 1.40138e7i 0.175418 0.568692i
\(292\) −1.17760e7 4.62175e6i −0.472989 0.185634i
\(293\) −1.00639e7 + 4.40929e7i −0.400096 + 1.75293i 0.226907 + 0.973916i \(0.427139\pi\)
−0.627003 + 0.779017i \(0.715719\pi\)
\(294\) −1.63705e7 2.83545e7i −0.644197 1.11578i
\(295\) 1.41836e6 + 818892.i 0.0552486 + 0.0318978i
\(296\) −3.41745e7 3.17093e7i −1.31773 1.22268i
\(297\) −1.05654e8 8.42560e7i −4.03288 3.21611i
\(298\) −4.11375e7 + 2.80471e7i −1.55450 + 1.05984i
\(299\) −9.92760e6 + 4.78088e6i −0.371390 + 0.178852i
\(300\) 1.18243e8i 4.37936i
\(301\) −1.90553e7 + 1.00772e7i −0.698740 + 0.369521i
\(302\) 8.97270e7 3.25763
\(303\) 1.05566e7 + 2.19211e7i 0.379488 + 0.788014i
\(304\) −1.27189e7 1.86552e7i −0.452720 0.664018i
\(305\) 898381. 1.12653e6i 0.0316636 0.0397049i
\(306\) 3.28520e7 3.54061e7i 1.14656 1.23570i
\(307\) −3.53852e6 + 6.12890e6i −0.122294 + 0.211820i −0.920672 0.390337i \(-0.872359\pi\)
0.798378 + 0.602157i \(0.205692\pi\)
\(308\) 8.47506e7 4.89308e7i 2.90062 1.67467i
\(309\) −2.10578e7 4.80630e6i −0.713735 0.162905i
\(310\) −906692. + 2.31021e6i −0.0304351 + 0.0775473i
\(311\) 5.62015e7 + 1.73359e7i 1.86839 + 0.576321i 0.996195 + 0.0871544i \(0.0277774\pi\)
0.872191 + 0.489166i \(0.162699\pi\)
\(312\) 1.02992e8 + 1.29148e8i 3.39110 + 4.25230i
\(313\) −4.44335e7 3.32983e6i −1.44903 0.108590i −0.673166 0.739491i \(-0.735066\pi\)
−0.775863 + 0.630901i \(0.782685\pi\)
\(314\) −4.33390e7 + 1.33683e7i −1.39988 + 0.431805i
\(315\) 3.95656e6 + 2.69753e6i 0.126586 + 0.0863048i
\(316\) 3.73121e7 + 5.62389e6i 1.18246 + 0.178228i
\(317\) −4.35787e6 1.90931e7i −0.136803 0.599374i −0.996126 0.0879399i \(-0.971972\pi\)
0.859323 0.511434i \(-0.170885\pi\)
\(318\) −1.50711e8 + 1.39840e8i −4.68667 + 4.34860i
\(319\) −6.33814e7 + 4.74978e6i −1.95249 + 0.146319i
\(320\) 1.32659e6 520648.i 0.0404843 0.0158889i
\(321\) −9.99908e6 6.63395e7i −0.302305 2.00566i
\(322\) −1.52515e7 7.34475e6i −0.456821 0.219993i
\(323\) 1.98491e6 4.12170e6i 0.0589023 0.122312i
\(324\) 2.24226e8 3.37966e7i 6.59250 0.993660i
\(325\) −1.46579e7 3.73476e7i −0.426993 1.08796i
\(326\) 4.04621e6 + 5.39929e7i 0.116787 + 1.55842i
\(327\) 3.57627e7 + 3.85430e7i 1.02279 + 1.10231i
\(328\) −1.14655e8 + 2.61692e7i −3.24916 + 0.741600i
\(329\) 611364. 4.05614e6i 0.0171677 0.113900i
\(330\) 9.64252e6 1.41430e7i 0.268317 0.393549i
\(331\) −1.66346e7 5.39279e7i −0.458698 1.48706i −0.829582 0.558384i \(-0.811421\pi\)
0.370884 0.928679i \(-0.379055\pi\)
\(332\) 7.54807e6 1.00722e8i 0.206263 2.75239i
\(333\) 5.31090e7 4.23530e7i 1.43825 1.14697i
\(334\) 1.08616e7 3.52126e7i 0.291512 0.945058i
\(335\) 1.46109e6 + 573434.i 0.0388634 + 0.0152528i
\(336\) −2.70771e7 + 1.18633e8i −0.713813 + 3.12742i
\(337\) 2.23554e7 + 3.87207e7i 0.584108 + 1.01170i 0.994986 + 0.100015i \(0.0318889\pi\)
−0.410878 + 0.911690i \(0.634778\pi\)
\(338\) −2.33872e7 1.35026e7i −0.605659 0.349677i
\(339\) 6.45535e7 + 5.98969e7i 1.65699 + 1.53747i
\(340\) 2.02448e6 + 1.61447e6i 0.0515082 + 0.0410764i
\(341\) −3.50464e7 + 2.38942e7i −0.883854 + 0.602601i
\(342\) 6.18164e7 2.97692e7i 1.54535 0.744199i
\(343\) 4.38650e7i 1.08702i
\(344\) −9.69265e7 2.59452e7i −2.38104 0.637354i
\(345\) −2.07634e6 −0.0505640
\(346\) 5.21693e7 + 1.08331e8i 1.25947 + 2.61531i
\(347\) −1.82800e7 2.68119e7i −0.437510 0.641710i 0.542640 0.839965i \(-0.317425\pi\)
−0.980150 + 0.198256i \(0.936472\pi\)
\(348\) 1.25551e8 1.57436e8i 2.97909 3.73566i
\(349\) 1.00350e7 1.08151e7i 0.236069 0.254422i −0.603895 0.797064i \(-0.706385\pi\)
0.839964 + 0.542642i \(0.182576\pi\)
\(350\) 3.08185e7 5.33792e7i 0.718799 1.24500i
\(351\) −1.25809e8 + 7.26361e7i −2.90932 + 1.67970i
\(352\) 1.14469e8 + 2.61269e7i 2.62459 + 0.599045i
\(353\) 3.09415e7 7.88377e7i 0.703425 1.79230i 0.0998310 0.995004i \(-0.468170\pi\)
0.603594 0.797292i \(-0.293735\pi\)
\(354\) −1.20848e8 3.72767e7i −2.72414 0.840287i
\(355\) 295246. + 370227.i 0.00659933 + 0.00827529i
\(356\) 3.80495e7 + 2.85142e6i 0.843333 + 0.0631991i
\(357\) −2.35595e7 + 7.26716e6i −0.517800 + 0.159720i
\(358\) 965858. + 658511.i 0.0210506 + 0.0143520i
\(359\) 1.75896e7 + 2.65121e6i 0.380166 + 0.0573008i 0.336346 0.941739i \(-0.390809\pi\)
0.0438203 + 0.999039i \(0.486047\pi\)
\(360\) 4.96007e6 + 2.17315e7i 0.106311 + 0.465781i
\(361\) −2.97233e7 + 2.75792e7i −0.631794 + 0.586219i
\(362\) −1.19228e8 + 8.93494e6i −2.51336 + 0.188350i
\(363\) 1.88768e8 7.40860e7i 3.94647 1.54888i
\(364\) −1.56795e7 1.04027e8i −0.325109 2.15696i
\(365\) 728752. + 350948.i 0.0149865 + 0.00721713i
\(366\) −4.82751e7 + 1.00244e8i −0.984646 + 2.04464i
\(367\) 1.19165e7 1.79613e6i 0.241075 0.0363361i −0.0273935 0.999625i \(-0.508721\pi\)
0.268468 + 0.963289i \(0.413483\pi\)
\(368\) −1.38037e7 3.51712e7i −0.276982 0.705739i
\(369\) −1.28057e7 1.70880e8i −0.254873 3.40104i
\(370\) 3.53231e6 + 3.80693e6i 0.0697355 + 0.0751570i
\(371\) 7.32693e7 1.67232e7i 1.43483 0.327490i
\(372\) 2.00291e7 1.32884e8i 0.389074 2.58134i
\(373\) −3.87959e7 + 5.69031e7i −0.747583 + 1.09650i 0.244343 + 0.969689i \(0.421428\pi\)
−0.991926 + 0.126814i \(0.959525\pi\)
\(374\) 1.86023e7 + 6.03072e7i 0.355592 + 1.15280i
\(375\) 1.13331e6 1.51230e7i 0.0214910 0.286777i
\(376\) 1.49282e7 1.19049e7i 0.280831 0.223955i
\(377\) −2.01396e7 + 6.52909e7i −0.375860 + 1.21851i
\(378\) −2.07751e8 8.15362e7i −3.84651 1.50965i
\(379\) −3.01697e6 + 1.32182e7i −0.0554183 + 0.242804i −0.995049 0.0993872i \(-0.968312\pi\)
0.939631 + 0.342191i \(0.111169\pi\)
\(380\) 1.83916e6 + 3.18553e6i 0.0335174 + 0.0580538i
\(381\) 4.44539e7 + 2.56655e7i 0.803776 + 0.464060i
\(382\) 4.49475e7 + 4.17052e7i 0.806336 + 0.748170i
\(383\) 2.09243e6 + 1.66866e6i 0.0372439 + 0.0297010i 0.641935 0.766759i \(-0.278132\pi\)
−0.604691 + 0.796460i \(0.706703\pi\)
\(384\) 4.00186e7 2.72842e7i 0.706754 0.481857i
\(385\) −5.63746e6 + 2.71486e6i −0.0987873 + 0.0475735i
\(386\) 3.86788e7i 0.672529i
\(387\) 5.84316e7 1.34019e8i 1.00813 2.31224i
\(388\) −4.34757e7 −0.744305
\(389\) −2.35117e7 4.88226e7i −0.399425 0.829415i −0.999564 0.0295196i \(-0.990602\pi\)
0.600139 0.799896i \(-0.295112\pi\)
\(390\) −1.03658e7 1.52038e7i −0.174746 0.256306i
\(391\) 4.77307e6 5.98523e6i 0.0798486 0.100127i
\(392\) −3.78925e7 + 4.08384e7i −0.629064 + 0.677970i
\(393\) −5.82390e7 + 1.00873e8i −0.959481 + 1.66187i
\(394\) 6.61353e7 3.81832e7i 1.08130 0.624286i
\(395\) −2.35213e6 536858.i −0.0381654 0.00871101i
\(396\) −2.42495e8 + 6.17867e8i −3.90496 + 9.94969i
\(397\) 3.83001e7 + 1.18140e7i 0.612108 + 0.188810i 0.585282 0.810830i \(-0.300984\pi\)
0.0268258 + 0.999640i \(0.491460\pi\)
\(398\) 7.27697e7 + 9.12504e7i 1.15425 + 1.44739i
\(399\) −3.49251e7 2.61728e6i −0.549819 0.0412032i
\(400\) 1.31461e8 4.05505e7i 2.05408 0.633601i
\(401\) −6.58019e7 4.48630e7i −1.02048 0.695752i −0.0671700 0.997742i \(-0.521397\pi\)
−0.953311 + 0.301989i \(0.902349\pi\)
\(402\) −1.19847e8 1.80640e7i −1.84479 0.278058i
\(403\) 1.01466e7 + 4.44551e7i 0.155026 + 0.679214i
\(404\) 5.28738e7 4.90597e7i 0.801856 0.744014i
\(405\) −1.44580e7 + 1.08348e6i −0.217642 + 0.0163100i
\(406\) −9.77122e7 + 3.83492e7i −1.46006 + 0.573032i
\(407\) 1.32290e7 + 8.77685e7i 0.196220 + 1.30183i
\(408\) −1.03399e8 4.97945e7i −1.52243 0.733164i
\(409\) −2.85543e7 + 5.92936e7i −0.417351 + 0.866638i 0.581249 + 0.813726i \(0.302564\pi\)
−0.998599 + 0.0529115i \(0.983150\pi\)
\(410\) 1.29543e7 1.95255e6i 0.187959 0.0283302i
\(411\) −3.24943e7 8.27941e7i −0.468038 1.19254i
\(412\) 4.78508e6 + 6.38525e7i 0.0684223 + 0.913032i
\(413\) 3.14437e7 + 3.38882e7i 0.446358 + 0.481059i
\(414\) 1.11936e8 2.55486e7i 1.57749 0.360052i
\(415\) −962523. + 6.38592e6i −0.0134669 + 0.0893469i
\(416\) 7.11021e7 1.04288e8i 0.987649 1.44861i
\(417\) 4.88054e7 + 1.58223e8i 0.673069 + 2.18204i
\(418\) −6.69964e6 + 8.94005e7i −0.0917324 + 1.22408i
\(419\) −3.15431e7 + 2.51548e7i −0.428807 + 0.341962i −0.813991 0.580878i \(-0.802709\pi\)
0.385184 + 0.922840i \(0.374138\pi\)
\(420\) 5.84317e6 1.89431e7i 0.0788680 0.255684i
\(421\) −5.54043e7 2.17446e7i −0.742501 0.291410i −0.0362222 0.999344i \(-0.511532\pi\)
−0.706279 + 0.707933i \(0.749628\pi\)
\(422\) 3.73923e7 1.63826e8i 0.497559 2.17995i
\(423\) 1.39108e7 + 2.40942e7i 0.183794 + 0.318341i
\(424\) 3.02960e8 + 1.74914e8i 3.97455 + 2.29471i
\(425\) 2.04334e7 + 1.89594e7i 0.266179 + 0.246978i
\(426\) −2.85883e7 2.27984e7i −0.369793 0.294900i
\(427\) 3.36042e7 2.29110e7i 0.431629 0.294279i
\(428\) −1.79190e8 + 8.62934e7i −2.28551 + 1.10064i
\(429\) 3.14502e8i 3.98338i
\(430\) 1.05511e7 + 3.68900e6i 0.132707 + 0.0463985i
\(431\) −1.18959e8 −1.48582 −0.742909 0.669392i \(-0.766555\pi\)
−0.742909 + 0.669392i \(0.766555\pi\)
\(432\) −2.16132e8 4.48802e8i −2.68082 5.56677i
\(433\) −1.35804e7 1.99188e7i −0.167282 0.245358i 0.733439 0.679755i \(-0.237914\pi\)
−0.900721 + 0.434397i \(0.856961\pi\)
\(434\) −4.36765e7 + 5.47686e7i −0.534292 + 0.669981i
\(435\) −8.75734e6 + 9.43817e6i −0.106391 + 0.114662i
\(436\) 7.79354e7 1.34988e8i 0.940319 1.62868i
\(437\) 9.41780e6 5.43737e6i 0.112851 0.0651545i
\(438\) −6.08922e7 1.38982e7i −0.724668 0.165401i
\(439\) 2.43743e7 6.21047e7i 0.288097 0.734059i −0.711414 0.702773i \(-0.751945\pi\)
0.999511 0.0312851i \(-0.00995999\pi\)
\(440\) −2.78319e7 8.58500e6i −0.326727 0.100782i
\(441\) −5.06116e7 6.34650e7i −0.590112 0.739977i
\(442\) 6.76550e7 + 5.07004e6i 0.783490 + 0.0587144i
\(443\) 1.65419e7 5.10249e6i 0.190271 0.0586909i −0.198155 0.980171i \(-0.563495\pi\)
0.388426 + 0.921480i \(0.373019\pi\)
\(444\) −2.32346e8 1.58411e8i −2.65453 1.80983i
\(445\) −2.41240e6 363610.i −0.0273759 0.00412625i
\(446\) 3.14834e7 + 1.37938e8i 0.354876 + 1.55481i
\(447\) −1.26363e8 + 1.17248e8i −1.41481 + 1.31275i
\(448\) 4.01132e7 3.00607e6i 0.446121 0.0334322i
\(449\) −5.23489e6 + 2.05454e6i −0.0578321 + 0.0226974i −0.394081 0.919076i \(-0.628937\pi\)
0.336249 + 0.941773i \(0.390842\pi\)
\(450\) 6.23079e7 + 4.13386e8i 0.683763 + 4.53647i
\(451\) 2.01734e8 + 9.71499e7i 2.19912 + 1.05904i
\(452\) 1.13269e8 2.35206e8i 1.22658 2.54703i
\(453\) 3.07183e8 4.63004e7i 3.30447 0.498069i
\(454\) −6.65861e7 1.69659e8i −0.711568 1.81305i
\(455\) 502667. + 6.70762e6i 0.00533637 + 0.0712089i
\(456\) −1.10886e8 1.19507e8i −1.16946 1.26037i
\(457\) 8.91086e7 2.03384e7i 0.933622 0.213093i 0.271456 0.962451i \(-0.412495\pi\)
0.662165 + 0.749358i \(0.269638\pi\)
\(458\) 854801. 5.67123e6i 0.00889751 0.0590311i
\(459\) 5.68554e7 8.33915e7i 0.587941 0.862350i
\(460\) 1.81432e6 + 5.88188e6i 0.0186398 + 0.0604286i
\(461\) 1.24839e7 1.66586e8i 0.127423 1.70034i −0.457467 0.889226i \(-0.651243\pi\)
0.584890 0.811112i \(-0.301138\pi\)
\(462\) 3.77751e8 3.01247e8i 3.83072 3.05489i
\(463\) 2.88681e7 9.35881e7i 0.290854 0.942926i −0.685742 0.727845i \(-0.740522\pi\)
0.976596 0.215081i \(-0.0690016\pi\)
\(464\) −2.18093e8 8.55952e7i −2.18317 0.856832i
\(465\) −1.91198e6 + 8.37695e6i −0.0190163 + 0.0833157i
\(466\) 1.73049e7 + 2.99730e7i 0.171006 + 0.296191i
\(467\) −5.61029e7 3.23911e7i −0.550852 0.318035i 0.198613 0.980078i \(-0.436356\pi\)
−0.749466 + 0.662043i \(0.769689\pi\)
\(468\) 5.23058e8 + 4.85327e8i 5.10285 + 4.73475i
\(469\) 3.46382e7 + 2.76230e7i 0.335766 + 0.267764i
\(470\) −1.75741e6 + 1.19818e6i −0.0169270 + 0.0115406i
\(471\) −1.41474e8 + 6.81303e7i −1.35399 + 0.652045i
\(472\) 2.15189e8i 2.04641i
\(473\) 1.13481e8 + 1.53680e8i 1.07235 + 1.45222i
\(474\) 1.86298e8 1.74934
\(475\) 1.71803e7 + 3.56752e7i 0.160306 + 0.332878i
\(476\) 4.11730e7 + 6.03897e7i 0.381761 + 0.559940i
\(477\) −3.17812e8 + 3.98524e8i −2.92830 + 3.67197i
\(478\) −2.40750e8 + 2.59467e8i −2.20436 + 2.37573i
\(479\) −26347.5 + 45635.2i −0.000239736 + 0.000415235i −0.866145 0.499792i \(-0.833410\pi\)
0.865906 + 0.500208i \(0.166743\pi\)
\(480\) 2.05979e7 1.18922e7i 0.186251 0.107532i
\(481\) 9.30251e7 + 2.12324e7i 0.835921 + 0.190793i
\(482\) 3.10642e7 7.91504e7i 0.277408 0.706825i
\(483\) −5.60041e7 1.72750e7i −0.497025 0.153312i
\(484\) −3.74818e8 4.70007e8i −3.30586 4.14542i
\(485\) 2.77199e6 + 207732.i 0.0242978 + 0.00182087i
\(486\) 4.96378e8 1.53112e8i 4.32418 1.33383i
\(487\) 3.52605e7 + 2.40402e7i 0.305283 + 0.208138i 0.706265 0.707948i \(-0.250379\pi\)
−0.400982 + 0.916086i \(0.631331\pi\)
\(488\) 1.87204e8 + 2.82165e7i 1.61085 + 0.242797i
\(489\) 4.17134e7 + 1.82758e8i 0.356738 + 1.56297i
\(490\) 4.54926e6 4.22110e6i 0.0386681 0.0358787i
\(491\) −1.44851e8 + 1.08551e7i −1.22370 + 0.0917039i −0.670862 0.741582i \(-0.734076\pi\)
−0.552842 + 0.833286i \(0.686457\pi\)
\(492\) −6.60349e8 + 2.59168e8i −5.54470 + 2.17614i
\(493\) −7.07509e6 4.69402e7i −0.0590461 0.391745i
\(494\) 8.68314e7 + 4.18158e7i 0.720271 + 0.346864i
\(495\) 1.84136e7 3.82363e7i 0.151818 0.315253i
\(496\) −1.54608e8 + 2.33035e7i −1.26703 + 0.190975i
\(497\) 4.88327e6 + 1.24424e7i 0.0397779 + 0.101352i
\(498\) −3.72663e7 4.97285e8i −0.301737 4.02640i
\(499\) −1.60836e7 1.73340e7i −0.129444 0.139507i 0.665004 0.746840i \(-0.268430\pi\)
−0.794448 + 0.607333i \(0.792239\pi\)
\(500\) −4.38309e7 + 1.00041e7i −0.350647 + 0.0800329i
\(501\) 1.90150e7 1.26156e8i 0.151211 1.00322i
\(502\) −2.38714e7 + 3.50129e7i −0.188698 + 0.276768i
\(503\) −4.09745e7 1.32836e8i −0.321966 1.04379i −0.961449 0.274983i \(-0.911328\pi\)
0.639483 0.768805i \(-0.279148\pi\)
\(504\) −4.70186e7 + 6.27420e8i −0.367264 + 4.90079i
\(505\) −3.60562e6 + 2.87539e6i −0.0279967 + 0.0223266i
\(506\) −4.42200e7 + 1.43358e8i −0.341325 + 1.10655i
\(507\) −8.70343e7 3.41585e7i −0.667831 0.262104i
\(508\) 3.38613e7 1.48356e8i 0.258293 1.13166i
\(509\) 2.79280e6 + 4.83727e6i 0.0211781 + 0.0366815i 0.876420 0.481547i \(-0.159925\pi\)
−0.855242 + 0.518229i \(0.826592\pi\)
\(510\) 1.10716e7 + 6.39220e6i 0.0834642 + 0.0481881i
\(511\) 1.67364e7 + 1.55291e7i 0.125429 + 0.116381i
\(512\) −2.20920e8 1.76178e8i −1.64598 1.31263i
\(513\) 1.18460e8 8.07649e7i 0.877447 0.598233i
\(514\) −1.21135e8 + 5.83353e7i −0.892029 + 0.429578i
\(515\) 4.09407e6i 0.0299732i
\(516\) −6.01458e8 6.76142e7i −4.37780 0.492140i
\(517\) −3.63533e7 −0.263071
\(518\) 6.36020e7 + 1.32071e8i 0.457595 + 0.950206i
\(519\) 2.34503e8 + 3.43953e8i 1.67744 + 2.46035i
\(520\) −1.95218e7 + 2.44795e7i −0.138838 + 0.174098i
\(521\) 4.24871e7 4.57902e7i 0.300430 0.323787i −0.564736 0.825271i \(-0.691022\pi\)
0.865167 + 0.501485i \(0.167213\pi\)
\(522\) 3.55976e8 6.16568e8i 2.50270 4.33480i
\(523\) −1.44349e8 + 8.33401e7i −1.00904 + 0.582571i −0.910911 0.412602i \(-0.864620\pi\)
−0.0981314 + 0.995173i \(0.531287\pi\)
\(524\) 3.36644e8 + 7.68367e7i 2.33979 + 0.534041i
\(525\) 7.79636e7 1.98648e8i 0.538783 1.37280i
\(526\) −1.70097e7 5.24678e6i −0.116879 0.0360525i
\(527\) −1.97520e7 2.47683e7i −0.134952 0.169225i
\(528\) 1.07540e9 + 8.05900e7i 7.30580 + 0.547494i
\(529\) −1.24070e8 + 3.82704e7i −0.838105 + 0.258521i
\(530\) −3.21982e7 2.19524e7i −0.216274 0.147453i
\(531\) −3.10047e8 4.67321e7i −2.07083 0.312127i
\(532\) 2.31036e7 + 1.01223e8i 0.153442 + 0.672273i
\(533\) 1.76447e8 1.63719e8i 1.16529 1.08123i
\(534\) 1.87858e8 1.40780e7i 1.23369 0.0924523i
\(535\) 1.18374e7 4.64584e6i 0.0773028 0.0303391i
\(536\) 3.07367e7 + 2.03924e8i 0.199601 + 1.32426i
\(537\) 3.64644e6 + 1.75603e6i 0.0235476 + 0.0113399i
\(538\) −1.21749e8 + 2.52814e8i −0.781839 + 1.62351i
\(539\) 1.04883e8 1.58086e7i 0.669790 0.100955i
\(540\) 2.96482e7 + 7.55425e7i 0.188286 + 0.479744i
\(541\) 1.92431e7 + 2.56781e8i 0.121530 + 1.62170i 0.641228 + 0.767351i \(0.278425\pi\)
−0.519698 + 0.854350i \(0.673956\pi\)
\(542\) 7.29226e7 + 7.85919e7i 0.457999 + 0.493605i
\(543\) −4.03572e8 + 9.21126e7i −2.52070 + 0.575333i
\(544\) −1.30698e7 + 8.67127e7i −0.0811846 + 0.538625i
\(545\) −5.61412e6 + 8.23440e6i −0.0346810 + 0.0508677i
\(546\) −1.53097e8 4.96327e8i −0.940562 3.04923i
\(547\) −850904. + 1.13545e7i −0.00519899 + 0.0693756i −0.999200 0.0399971i \(-0.987265\pi\)
0.994001 + 0.109373i \(0.0348842\pi\)
\(548\) −2.06146e8 + 1.64396e8i −1.25266 + 0.998964i
\(549\) −8.13096e7 + 2.63599e8i −0.491388 + 1.59304i
\(550\) −5.08495e8 1.99569e8i −3.05632 1.19952i
\(551\) 1.50053e7 6.57425e7i 0.0896994 0.392999i
\(552\) −1.36405e8 2.36261e8i −0.810987 1.40467i
\(553\) −5.89762e7 3.40499e7i −0.348740 0.201345i
\(554\) −1.56540e8 1.45248e8i −0.920653 0.854241i
\(555\) 1.40574e7 + 1.12104e7i 0.0822292 + 0.0655756i
\(556\) 4.05570e8 2.76513e8i 2.35962 1.60876i
\(557\) −5.76000e7 + 2.77387e7i −0.333317 + 0.160517i −0.593055 0.805162i \(-0.702078\pi\)
0.259738 + 0.965679i \(0.416364\pi\)
\(558\) 4.75128e8i 2.73469i
\(559\) 1.98355e8 5.32029e7i 1.13556 0.304579i
\(560\) −2.30647e7 −0.131336
\(561\) 9.48048e7 + 1.96864e8i 0.536960 + 1.11501i
\(562\) −1.67462e8 2.45622e8i −0.943427 1.38375i
\(563\) 1.73945e8 2.18120e8i 0.974733 1.22228i −0.000250405 1.00000i \(-0.500080\pi\)
0.974984 0.222277i \(-0.0713489\pi\)
\(564\) 7.83389e7 8.44293e7i 0.436657 0.470604i
\(565\) −8.34585e6 + 1.44554e7i −0.0462727 + 0.0801467i
\(566\) −5.10399e7 + 2.94679e7i −0.281488 + 0.162517i
\(567\) −3.98983e8 9.10653e7i −2.18880 0.499578i
\(568\) −2.27309e7 + 5.79173e7i −0.124043 + 0.316056i
\(569\) −8.51862e7 2.62764e7i −0.462415 0.142636i 0.0547894 0.998498i \(-0.482551\pi\)
−0.517205 + 0.855862i \(0.673027\pi\)
\(570\) 1.13230e7 + 1.41986e7i 0.0611415 + 0.0766690i
\(571\) −1.86347e8 1.39648e7i −1.00095 0.0750110i −0.435839 0.900024i \(-0.643548\pi\)
−0.565113 + 0.825013i \(0.691167\pi\)
\(572\) −8.90925e8 + 2.74814e8i −4.76051 + 1.46842i
\(573\) 1.75400e8 + 1.19586e8i 0.932320 + 0.635645i
\(574\) 3.65655e8 + 5.51136e7i 1.93346 + 0.291423i
\(575\) 1.47445e7 + 6.45998e7i 0.0775579 + 0.339803i
\(576\) −2.00000e8 + 1.85573e8i −1.04656 + 0.971061i
\(577\) 2.76356e8 2.07100e7i 1.43861 0.107809i 0.667545 0.744570i \(-0.267345\pi\)
0.771061 + 0.636761i \(0.219726\pi\)
\(578\) 2.84988e8 1.11850e8i 1.47586 0.579230i
\(579\) 1.99588e7 + 1.32418e8i 0.102825 + 0.682199i
\(580\) 3.43888e7 + 1.65608e7i 0.176251 + 0.0848782i
\(581\) −7.90920e7 + 1.64236e8i −0.403278 + 0.837415i
\(582\) −2.12251e8 + 3.19916e7i −1.07666 + 0.162281i
\(583\) −2.43333e8 6.20003e8i −1.22799 3.12888i
\(584\) 7.94196e6 + 1.05978e8i 0.0398740 + 0.532081i
\(585\) −3.10310e7 3.34435e7i −0.154999 0.167049i
\(586\) 6.45361e8 1.47299e8i 3.20708 0.731995i
\(587\) 4.42138e7 2.93339e8i 0.218596 1.45029i −0.562973 0.826475i \(-0.690343\pi\)
0.781570 0.623818i \(-0.214419\pi\)
\(588\) −1.89301e8 + 2.77653e8i −0.931150 + 1.36575i
\(589\) −1.32646e7 4.30029e7i −0.0649156 0.210451i
\(590\) 1.79137e6 2.39042e7i 0.00872229 0.116391i
\(591\) 2.06713e8 1.64848e8i 1.00139 0.798586i
\(592\) −9.64387e7 + 3.12647e8i −0.464822 + 1.50691i
\(593\) 7.85270e7 + 3.08196e7i 0.376578 + 0.147796i 0.546078 0.837734i \(-0.316120\pi\)
−0.169500 + 0.985530i \(0.554215\pi\)
\(594\) −4.40126e8 + 1.92832e9i −2.09999 + 9.20066i
\(595\) −2.33662e6 4.04715e6i −0.0110927 0.0192131i
\(596\) 4.42557e8 + 2.55510e8i 2.09041 + 1.20690i
\(597\) 2.96216e8 + 2.74848e8i 1.39215 + 1.29172i
\(598\) 1.26090e8 + 1.00554e8i 0.589628 + 0.470213i
\(599\) 4.25146e7 2.89860e7i 0.197815 0.134868i −0.460362 0.887731i \(-0.652280\pi\)
0.658177 + 0.752864i \(0.271328\pi\)
\(600\) 8.94970e8 4.30995e8i 4.14338 1.99535i
\(601\) 2.84537e8i 1.31074i 0.755309 + 0.655368i \(0.227487\pi\)
−0.755309 + 0.655368i \(0.772513\pi\)
\(602\) 2.53898e8 + 1.87286e8i 1.16378 + 0.858451i
\(603\) −3.00493e8 −1.37051
\(604\) −3.99579e8 8.29733e8i −1.81339 3.76554i
\(605\) 2.16525e7 + 3.17584e7i 0.0977782 + 0.143414i
\(606\) 2.22032e8 2.78420e8i 0.997695 1.25107i
\(607\) 1.15772e8 1.24773e8i 0.517654 0.557898i −0.419076 0.907951i \(-0.637646\pi\)
0.936730 + 0.350053i \(0.113836\pi\)
\(608\) −6.22848e7 + 1.07880e8i −0.277122 + 0.479990i
\(609\) −3.14732e8 + 1.81711e8i −1.39344 + 0.804504i
\(610\) −2.05607e7 4.69285e6i −0.0905833 0.0206751i
\(611\) −1.42776e7 + 3.63786e7i −0.0625937 + 0.159486i
\(612\) −4.73710e8 1.46120e8i −2.06661 0.637465i
\(613\) 1.08968e8 + 1.36641e8i 0.473059 + 0.593198i 0.959917 0.280284i \(-0.0904285\pi\)
−0.486858 + 0.873481i \(0.661857\pi\)
\(614\) 1.03293e8 + 7.74073e6i 0.446236 + 0.0334408i
\(615\) 4.33419e7 1.33692e7i 0.186330 0.0574752i
\(616\) −6.79269e8 4.63118e8i −2.90603 1.98130i
\(617\) −3.44900e8 5.19853e7i −1.46838 0.221322i −0.634350 0.773046i \(-0.718732\pi\)
−0.834027 + 0.551724i \(0.813970\pi\)
\(618\) 7.03469e7 + 3.08210e8i 0.298044 + 1.30581i
\(619\) 8.01930e7 7.44083e7i 0.338115 0.313725i −0.492780 0.870154i \(-0.664019\pi\)
0.830895 + 0.556429i \(0.187829\pi\)
\(620\) 2.54010e7 1.90354e6i 0.106580 0.00798707i
\(621\) 2.23336e8 8.76531e7i 0.932577 0.366010i
\(622\) −1.28300e8 8.51217e8i −0.533159 3.53728i
\(623\) −6.20431e7 2.98784e7i −0.256584 0.123564i
\(624\) 5.03003e8 1.04450e9i 2.07022 4.29886i
\(625\) −2.37146e8 + 3.57440e7i −0.971350 + 0.146407i
\(626\) 2.38264e8 + 6.07088e8i 0.971261 + 2.47473i
\(627\) 2.31955e7 + 3.09522e8i 0.0941025 + 1.25571i
\(628\) 3.16621e8 + 3.41237e8i 1.27838 + 1.37777i
\(629\) −6.46300e7 + 1.47514e7i −0.259706 + 0.0592762i
\(630\) 1.04461e7 6.93056e7i 0.0417767 0.277170i
\(631\) 1.12640e8 1.65213e8i 0.448337 0.657590i −0.533832 0.845591i \(-0.679248\pi\)
0.982169 + 0.188001i \(0.0602008\pi\)
\(632\) −9.34357e7 3.02911e8i −0.370136 1.19995i
\(633\) 4.34769e7 5.80159e8i 0.171414 2.28737i
\(634\) −2.24105e8 + 1.78717e8i −0.879393 + 0.701292i
\(635\) −2.86785e6 + 9.29733e6i −0.0112004 + 0.0363109i
\(636\) 1.96430e9 + 7.70931e8i 7.63548 + 2.99671i
\(637\) 2.53726e7 1.11165e8i 0.0981627 0.430079i
\(638\) 4.65138e8 + 8.05643e8i 1.79110 + 3.10228i
\(639\) −7.85118e7 4.53288e7i −0.300907 0.173729i
\(640\) 6.72986e6 + 6.24440e6i 0.0256724 + 0.0238205i
\(641\) −6.79315e7 5.41736e7i −0.257927 0.205690i 0.485985 0.873967i \(-0.338461\pi\)
−0.743913 + 0.668277i \(0.767032\pi\)
\(642\) −8.11317e8 + 5.53146e8i −3.06609 + 2.09043i
\(643\) 3.95611e8 1.90516e8i 1.48811 0.716637i 0.499386 0.866379i \(-0.333559\pi\)
0.988725 + 0.149743i \(0.0478446\pi\)
\(644\) 1.73744e8i 0.650507i
\(645\) 3.80256e7 + 7.18489e6i 0.141709 + 0.0267757i
\(646\) −6.69577e7 −0.248372
\(647\) 1.62952e8 + 3.38374e8i 0.601655 + 1.24935i 0.950078 + 0.312012i \(0.101003\pi\)
−0.348423 + 0.937337i \(0.613283\pi\)
\(648\) −1.07311e9 1.57396e9i −3.94382 5.78453i
\(649\) 2.55445e8 3.20318e8i 0.934465 1.17178i
\(650\) −3.99416e8 + 4.30468e8i −1.45441 + 1.56748i
\(651\) −1.21266e8 + 2.10040e8i −0.439539 + 0.761304i
\(652\) 4.81270e8 2.77861e8i 1.73639 1.00250i
\(653\) −5.40346e7 1.23330e7i −0.194058 0.0442926i 0.124387 0.992234i \(-0.460304\pi\)
−0.318445 + 0.947941i \(0.603161\pi\)
\(654\) 2.81154e8 7.16368e8i 1.00510 2.56096i
\(655\) −2.10971e7 6.50760e6i −0.0750756 0.0231578i
\(656\) 5.14602e8 + 6.45291e8i 1.82289 + 2.28583i
\(657\) −1.54420e8 1.15722e7i −0.544511 0.0408055i
\(658\) −5.73705e7 + 1.76965e7i −0.201378 + 0.0621167i
\(659\) −1.79455e8 1.22350e8i −0.627046 0.427513i 0.207666 0.978200i \(-0.433413\pi\)
−0.834712 + 0.550687i \(0.814366\pi\)
\(660\) −1.73725e8 2.61849e7i −0.604271 0.0910792i
\(661\) −3.34523e7 1.46564e8i −0.115830 0.507486i −0.999243 0.0388908i \(-0.987618\pi\)
0.883413 0.468595i \(-0.155240\pi\)
\(662\) −6.05506e8 + 5.61828e8i −2.08711 + 1.93655i
\(663\) 2.34235e8 1.75535e7i 0.803733 0.0602314i
\(664\) −7.89869e8 + 3.10001e8i −2.69806 + 1.05891i
\(665\) −989416. 6.56434e6i −0.00336445 0.0223217i
\(666\) −8.95775e8 4.31382e8i −3.03233 1.46029i
\(667\) 4.89608e7 1.01668e8i 0.164995 0.342616i
\(668\) −3.73992e8 + 5.63702e7i −1.25468 + 0.189112i
\(669\) 1.78962e8 + 4.55988e8i 0.597699 + 1.52291i
\(670\) −1.71678e6 2.29088e7i −0.00570808 0.0761691i
\(671\) −2.45167e8 2.64227e8i −0.811510 0.874600i
\(672\) 6.54517e8 1.49389e8i 2.15682 0.492280i
\(673\) −7.86383e7 + 5.21731e8i −0.257982 + 1.71160i 0.366383 + 0.930464i \(0.380596\pi\)
−0.624365 + 0.781133i \(0.714642\pi\)
\(674\) 3.68640e8 5.40696e8i 1.20399 1.76593i
\(675\) 2.57495e8 + 8.34777e8i 0.837253 + 2.71431i
\(676\) −2.07133e7 + 2.76400e8i −0.0670516 + 0.894741i
\(677\) −8.95095e7 + 7.13814e7i −0.288472 + 0.230048i −0.757024 0.653387i \(-0.773347\pi\)
0.468552 + 0.883436i \(0.344776\pi\)
\(678\) 3.79910e8 1.23164e9i 1.21897 3.95180i
\(679\) 7.30391e7 + 2.86657e7i 0.233317 + 0.0915702i
\(680\) 4.84055e6 2.12078e7i 0.0153946 0.0674480i
\(681\) −3.15506e8 5.46472e8i −0.999002 1.73032i
\(682\) 5.37654e8 + 3.10415e8i 1.69492 + 0.978564i
\(683\) 3.94179e7 + 3.65745e7i 0.123718 + 0.114793i 0.739606 0.673041i \(-0.235012\pi\)
−0.615888 + 0.787834i \(0.711203\pi\)
\(684\) −5.50571e8 4.39065e8i −1.72046 1.37202i
\(685\) 1.39293e7 9.49684e6i 0.0433369 0.0295466i
\(686\) 5.78445e8 2.78565e8i 1.79180 0.862886i
\(687\) 1.98567e7i 0.0612403i
\(688\) 1.31092e8 + 6.91883e8i 0.402543 + 2.12455i
\(689\) −7.16003e8 −2.18906
\(690\) 1.31858e7 + 2.73806e7i 0.0401383 + 0.0833480i
\(691\) 2.20076e8 + 3.22792e8i 0.667019 + 0.978337i 0.999381 + 0.0351849i \(0.0112020\pi\)
−0.332362 + 0.943152i \(0.607846\pi\)
\(692\) 7.69443e8 9.64851e8i 2.32198 2.91167i
\(693\) 8.14783e8 8.78128e8i 2.44817 2.63850i
\(694\) −2.37479e8 + 4.11326e8i −0.710473 + 1.23057i
\(695\) −2.71802e7 + 1.56925e7i −0.0809651 + 0.0467452i
\(696\) −1.64926e9 3.76432e8i −4.89171 1.11650i
\(697\) −6.10959e7 + 1.55670e8i −0.180432 + 0.459734i
\(698\) −2.06346e8 6.36492e7i −0.606777 0.187166i
\(699\) 7.47103e7 + 9.36838e7i 0.218751 + 0.274304i
\(700\) −6.30858e8 4.72762e7i −1.83923 0.137832i
\(701\) −4.60036e8 + 1.41902e8i −1.33548 + 0.411941i −0.878588 0.477580i \(-0.841514\pi\)
−0.456893 + 0.889522i \(0.651038\pi\)
\(702\) 1.75680e9 + 1.19777e9i 5.07822 + 3.46227i
\(703\) −9.31182e7 1.40353e7i −0.268021 0.0403976i
\(704\) −7.93282e7 3.47560e8i −0.227358 0.996119i
\(705\) −5.39827e6 + 5.00886e6i −0.0154059 + 0.0142946i
\(706\) −1.23612e9 + 9.26346e7i −3.51275 + 0.263244i
\(707\) −1.21176e8 + 4.75579e7i −0.342892 + 0.134575i
\(708\) 1.93460e8 + 1.28352e9i 0.545119 + 3.61663i
\(709\) 4.25713e8 + 2.05013e8i 1.19448 + 0.575231i 0.922097 0.386959i \(-0.126474\pi\)
0.272382 + 0.962189i \(0.412189\pi\)
\(710\) 3.00720e6 6.24453e6i 0.00840210 0.0174471i
\(711\) 4.56731e8 6.88411e7i 1.27072 0.191531i
\(712\) −1.17108e8 2.98387e8i −0.324450 0.826685i
\(713\) −5.62770e6 7.50964e7i −0.0155261 0.207181i
\(714\) 2.45446e8 + 2.64528e8i 0.674314 + 0.726738i
\(715\) 5.81181e7 1.32651e7i 0.158999 0.0362904i
\(716\) 1.78823e6 1.18641e7i 0.00487174 0.0323219i
\(717\) −6.90326e8 + 1.01252e9i −1.87282 + 2.74693i
\(718\) −7.67415e7 2.48790e8i −0.207328 0.672139i
\(719\) 4.89006e7 6.52533e8i 0.131561 1.75556i −0.407419 0.913241i \(-0.633571\pi\)
0.538980 0.842319i \(-0.318810\pi\)
\(720\) 1.22307e8 9.75367e7i 0.327683 0.261319i
\(721\) 3.40623e7 1.10427e8i 0.0908800 0.294626i
\(722\) 5.52443e8 + 2.16818e8i 1.46783 + 0.576081i
\(723\) 6.55066e7 2.87003e8i 0.173329 0.759403i
\(724\) 6.13581e8 + 1.06275e9i 1.61680 + 2.80038i
\(725\) 3.55831e8 + 2.05439e8i 0.933748 + 0.539099i
\(726\) −2.17574e9 2.01879e9i −5.68587 5.27572i
\(727\) 1.48477e8 + 1.18407e8i 0.386417 + 0.308158i 0.797360 0.603503i \(-0.206229\pi\)
−0.410943 + 0.911661i \(0.634800\pi\)
\(728\) −7.30219e8 + 4.97855e8i −1.89260 + 1.29035i
\(729\) 6.28929e8 3.02876e8i 1.62338 0.781777i
\(730\) 1.18387e7i 0.0304324i
\(731\) −1.08124e8 + 9.30957e7i −0.276802 + 0.238329i
\(732\) 1.14197e9 2.91154
\(733\) 2.77285e8 + 5.75788e8i 0.704067 + 1.46201i 0.878699 + 0.477376i \(0.158412\pi\)
−0.174632 + 0.984634i \(0.555874\pi\)
\(734\) −9.93613e7 1.45736e8i −0.251263 0.368535i
\(735\) 1.33964e7 1.67985e7i 0.0337385 0.0423067i
\(736\) −1.41786e8 + 1.52809e8i −0.355631 + 0.383279i
\(737\) 1.96321e8 3.40037e8i 0.490415 0.849423i
\(738\) −2.17206e9 + 1.25404e9i −5.40385 + 3.11991i
\(739\) 4.47065e8 + 1.02040e8i 1.10774 + 0.252834i 0.736993 0.675900i \(-0.236245\pi\)
0.370746 + 0.928734i \(0.379102\pi\)
\(740\) 1.94735e7 4.96177e7i 0.0480561 0.122445i
\(741\) 3.18848e8 + 9.83514e7i 0.783661 + 0.241728i
\(742\) −6.85825e8 8.59997e8i −1.67881 2.10516i
\(743\) 3.09164e8 + 2.31686e7i 0.753741 + 0.0564851i 0.446058 0.895004i \(-0.352827\pi\)
0.307683 + 0.951489i \(0.400446\pi\)
\(744\) −1.07880e9 + 3.32765e8i −2.61951 + 0.808013i
\(745\) −2.69964e7 1.84058e7i −0.0652885 0.0445130i
\(746\) 9.96752e8 + 1.50236e8i 2.40088 + 0.361875i
\(747\) −2.75120e8 1.20538e9i −0.660025 2.89176i
\(748\) 4.74838e8 4.40585e8i 1.13459 1.05275i
\(749\) 3.57937e8 2.68237e7i 0.851847 0.0638371i
\(750\) −2.06623e8 + 8.10937e7i −0.489774 + 0.192222i
\(751\) 7.49459e7 + 4.97234e8i 0.176941 + 1.17393i 0.884247 + 0.467019i \(0.154672\pi\)
−0.707307 + 0.706907i \(0.750090\pi\)
\(752\) −1.20733e8 5.81421e7i −0.283906 0.136722i
\(753\) −6.36572e7 + 1.32186e8i −0.149095 + 0.309599i
\(754\) 9.88884e8 1.49050e8i 2.30691 0.347711i
\(755\) 2.15124e7 + 5.48127e7i 0.0499859 + 0.127362i
\(756\) 1.71180e8 + 2.28424e9i 0.396176 + 5.28660i
\(757\) −4.12877e8 4.44975e8i −0.951772 1.02577i −0.999638 0.0269125i \(-0.991432\pi\)
0.0478657 0.998854i \(-0.484758\pi\)
\(758\) 1.93467e8 4.41576e7i 0.444221 0.101391i
\(759\) −7.74139e7 + 5.13608e8i −0.177049 + 1.17464i
\(760\) 1.74072e7 2.55317e7i 0.0396542 0.0581620i
\(761\) −1.15427e8 3.74205e8i −0.261910 0.849093i −0.987039 0.160479i \(-0.948696\pi\)
0.725129 0.688613i \(-0.241780\pi\)
\(762\) 5.61448e7 7.49200e8i 0.126895 1.69330i
\(763\) −2.19936e8 + 1.75393e8i −0.495134 + 0.394856i