Properties

Label 43.7.f.a.22.5
Level 43
Weight 7
Character 43.22
Analytic conductor 9.892
Analytic rank 0
Dimension 126
CM no
Inner twists 2

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 22.5
Character \(\chi\) \(=\) 43.22
Dual form 43.7.f.a.2.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-4.79242 + 9.95156i) q^{2} +(-6.97408 - 14.4818i) q^{3} +(-36.1629 - 45.3469i) q^{4} +(117.045 - 26.7147i) q^{5} +177.540 q^{6} +466.480i q^{7} +(-64.6015 + 14.7449i) q^{8} +(293.438 - 367.960i) q^{9} +O(q^{10})\) \(q+(-4.79242 + 9.95156i) q^{2} +(-6.97408 - 14.4818i) q^{3} +(-36.1629 - 45.3469i) q^{4} +(117.045 - 26.7147i) q^{5} +177.540 q^{6} +466.480i q^{7} +(-64.6015 + 14.7449i) q^{8} +(293.438 - 367.960i) q^{9} +(-295.075 + 1292.81i) q^{10} +(-1084.84 + 1360.35i) q^{11} +(-404.503 + 839.959i) q^{12} +(211.677 + 927.416i) q^{13} +(-4642.21 - 2235.57i) q^{14} +(-1203.16 - 1508.71i) q^{15} +(988.873 - 4332.54i) q^{16} +(1085.44 - 4755.64i) q^{17} +(2255.50 + 4683.59i) q^{18} +(-9694.59 + 7731.18i) q^{19} +(-5444.12 - 4341.54i) q^{20} +(6755.49 - 3253.27i) q^{21} +(-8338.59 - 17315.3i) q^{22} +(-6838.48 + 8575.18i) q^{23} +(664.069 + 832.716i) q^{24} +(-1091.80 + 525.782i) q^{25} +(-10243.7 - 2338.05i) q^{26} +(-18799.1 - 4290.77i) q^{27} +(21153.4 - 16869.3i) q^{28} +(-17403.5 + 36138.8i) q^{29} +(20780.1 - 4742.93i) q^{30} +(14896.9 + 7173.99i) q^{31} +(35060.8 + 27960.1i) q^{32} +(27266.2 + 6223.32i) q^{33} +(42124.1 + 33592.9i) q^{34} +(12461.9 + 54599.2i) q^{35} -27297.4 q^{36} -30453.6i q^{37} +(-30476.7 - 133527. i) q^{38} +(11954.4 - 9533.35i) q^{39} +(-7167.37 + 3451.62i) q^{40} +(108345. + 52176.4i) q^{41} +82818.7i q^{42} +(-66487.8 - 43597.4i) q^{43} +100919. q^{44} +(24515.5 - 50907.0i) q^{45} +(-52563.6 - 109149. i) q^{46} +(46855.2 + 58754.5i) q^{47} +(-69639.6 + 15894.8i) q^{48} -99954.8 q^{49} -13384.9i q^{50} +(-76440.3 + 17447.0i) q^{51} +(34400.6 - 43137.0i) q^{52} +(32796.4 - 143690. i) q^{53} +(132793. - 166517. i) q^{54} +(-90634.0 + 188203. i) q^{55} +(-6878.19 - 30135.3i) q^{56} +(179573. + 86477.6i) q^{57} +(-276233. - 346385. i) q^{58} +(-19083.1 + 83608.5i) q^{59} +(-24905.7 + 109119. i) q^{60} +(45072.3 + 93593.6i) q^{61} +(-142785. + 113867. i) q^{62} +(171646. + 136883. i) q^{63} +(-190025. + 91511.1i) q^{64} +(49551.4 + 102895. i) q^{65} +(-192603. + 241516. i) q^{66} +(96851.3 + 121448. i) q^{67} +(-254906. + 122756. i) q^{68} +(171877. + 39229.7i) q^{69} +(-603070. - 137647. i) q^{70} +(413448. - 329714. i) q^{71} +(-13531.0 + 28097.5i) q^{72} +(-444210. + 101388. i) q^{73} +(303060. + 145946. i) q^{74} +(15228.6 + 12144.4i) q^{75} +(701170. + 160037. i) q^{76} +(-634576. - 506058. i) q^{77} +(37581.0 + 164653. i) q^{78} +267187. q^{79} -533519. i q^{80} +(-7377.72 - 32323.9i) q^{81} +(-1.03847e6 + 828155. i) q^{82} +(707833. - 340875. i) q^{83} +(-391824. - 188693. i) q^{84} -585621. i q^{85} +(752500. - 452720. i) q^{86} +644730. q^{87} +(50024.3 - 103877. i) q^{88} +(-265904. - 552155. i) q^{89} +(389115. + 487935. i) q^{90} +(-432621. + 98743.0i) q^{91} +636158. q^{92} -265767. i q^{93} +(-809249. + 184706. i) q^{94} +(-928166. + 1.16388e6i) q^{95} +(160396. - 702740. i) q^{96} +(-322686. + 404636. i) q^{97} +(479026. - 994707. i) q^{98} +(182220. + 798358. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 126q - 7q^{2} - 7q^{3} + 725q^{4} - 7q^{5} + 244q^{6} + 2233q^{8} + 6312q^{9} + O(q^{10}) \) \( 126q - 7q^{2} - 7q^{3} + 725q^{4} - 7q^{5} + 244q^{6} + 2233q^{8} + 6312q^{9} + 1955q^{10} - 985q^{11} - 455q^{12} - 4485q^{13} - 6771q^{14} + 5017q^{15} - 41935q^{16} - 10409q^{17} - 5110q^{18} - 33397q^{19} - 24507q^{20} - 5448q^{21} + 25193q^{22} - 29017q^{23} - 1885q^{24} - 2080q^{25} + 34713q^{26} - 7q^{27} + 28665q^{28} + 17353q^{29} - 290052q^{30} + 13547q^{31} + 458283q^{32} - 94801q^{33} - 191527q^{34} + 183008q^{35} + 956352q^{36} + 304607q^{38} - 381031q^{39} + 66419q^{40} + 313447q^{41} - 323228q^{43} + 281588q^{44} - 1237551q^{45} + 80948q^{46} - 180133q^{47} - 762055q^{48} - 1861754q^{49} + 999215q^{51} + 471797q^{52} + 1030011q^{53} - 92099q^{54} + 324233q^{55} - 842713q^{56} + 331037q^{57} + 849461q^{58} - 369609q^{59} + 553323q^{60} - 594727q^{61} - 886711q^{62} + 1914136q^{63} - 3250219q^{64} + 1473521q^{65} - 427559q^{66} + 122535q^{67} - 602346q^{68} + 4320057q^{69} - 1694994q^{70} - 770707q^{71} - 391202q^{72} + 476945q^{73} - 3943812q^{74} + 2061367q^{75} - 2044462q^{76} + 3016216q^{77} + 239350q^{78} + 5077268q^{79} + 2388946q^{81} + 5820437q^{82} - 1324235q^{83} + 3759618q^{84} - 4967947q^{86} - 3537894q^{87} - 7289555q^{88} - 4331495q^{89} - 12825206q^{90} + 1802976q^{91} - 12038260q^{92} + 6249341q^{94} - 5313259q^{95} + 7069598q^{96} + 788975q^{97} + 4724783q^{98} - 2216971q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{14}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.79242 + 9.95156i −0.599052 + 1.24395i 0.352313 + 0.935882i \(0.385395\pi\)
−0.951366 + 0.308063i \(0.900319\pi\)
\(3\) −6.97408 14.4818i −0.258299 0.536364i 0.730980 0.682399i \(-0.239063\pi\)
−0.989279 + 0.146035i \(0.953349\pi\)
\(4\) −36.1629 45.3469i −0.565046 0.708545i
\(5\) 117.045 26.7147i 0.936360 0.213718i 0.272996 0.962015i \(-0.411985\pi\)
0.663364 + 0.748297i \(0.269128\pi\)
\(6\) 177.540 0.821943
\(7\) 466.480i 1.36000i 0.733212 + 0.680000i \(0.238020\pi\)
−0.733212 + 0.680000i \(0.761980\pi\)
\(8\) −64.6015 + 14.7449i −0.126175 + 0.0287986i
\(9\) 293.438 367.960i 0.402522 0.504746i
\(10\) −295.075 + 1292.81i −0.295075 + 1.29281i
\(11\) −1084.84 + 1360.35i −0.815059 + 1.02205i 0.184174 + 0.982894i \(0.441039\pi\)
−0.999233 + 0.0391576i \(0.987533\pi\)
\(12\) −404.503 + 839.959i −0.234087 + 0.486087i
\(13\) 211.677 + 927.416i 0.0963481 + 0.422129i 0.999981 0.00617944i \(-0.00196699\pi\)
−0.903633 + 0.428308i \(0.859110\pi\)
\(14\) −4642.21 2235.57i −1.69177 0.814712i
\(15\) −1203.16 1508.71i −0.356492 0.447027i
\(16\) 988.873 4332.54i 0.241424 1.05775i
\(17\) 1085.44 4755.64i 0.220933 0.967970i −0.735845 0.677150i \(-0.763215\pi\)
0.956778 0.290820i \(-0.0939281\pi\)
\(18\) 2255.50 + 4683.59i 0.386745 + 0.803085i
\(19\) −9694.59 + 7731.18i −1.41341 + 1.12716i −0.440026 + 0.897985i \(0.645031\pi\)
−0.973386 + 0.229173i \(0.926398\pi\)
\(20\) −5444.12 4341.54i −0.680515 0.542693i
\(21\) 6755.49 3253.27i 0.729456 0.351287i
\(22\) −8338.59 17315.3i −0.783113 1.62615i
\(23\) −6838.48 + 8575.18i −0.562052 + 0.704790i −0.978936 0.204169i \(-0.934551\pi\)
0.416884 + 0.908960i \(0.363122\pi\)
\(24\) 664.069 + 832.716i 0.0480374 + 0.0602370i
\(25\) −1091.80 + 525.782i −0.0698751 + 0.0336501i
\(26\) −10243.7 2338.05i −0.582822 0.133025i
\(27\) −18799.1 4290.77i −0.955093 0.217994i
\(28\) 21153.4 16869.3i 0.963622 0.768463i
\(29\) −17403.5 + 36138.8i −0.713582 + 1.48177i 0.155885 + 0.987775i \(0.450177\pi\)
−0.869466 + 0.493992i \(0.835537\pi\)
\(30\) 20780.1 4742.93i 0.769634 0.175664i
\(31\) 14896.9 + 7173.99i 0.500048 + 0.240811i 0.666867 0.745177i \(-0.267635\pi\)
−0.166818 + 0.985988i \(0.553349\pi\)
\(32\) 35060.8 + 27960.1i 1.06997 + 0.853273i
\(33\) 27266.2 + 6223.32i 0.758721 + 0.173173i
\(34\) 42124.1 + 33592.9i 1.07175 + 0.854693i
\(35\) 12461.9 + 54599.2i 0.290657 + 1.27345i
\(36\) −27297.4 −0.585079
\(37\) 30453.6i 0.601219i −0.953747 0.300610i \(-0.902810\pi\)
0.953747 0.300610i \(-0.0971901\pi\)
\(38\) −30476.7 133527.i −0.555415 2.43343i
\(39\) 11954.4 9533.35i 0.201528 0.160713i
\(40\) −7167.37 + 3451.62i −0.111990 + 0.0539316i
\(41\) 108345. + 52176.4i 1.57202 + 0.757047i 0.998085 0.0618511i \(-0.0197004\pi\)
0.573939 + 0.818898i \(0.305415\pi\)
\(42\) 82818.7i 1.11784i
\(43\) −66487.8 43597.4i −0.836251 0.548347i
\(44\) 100919. 1.18472
\(45\) 24515.5 50907.0i 0.269032 0.558650i
\(46\) −52563.6 109149.i −0.540022 1.12137i
\(47\) 46855.2 + 58754.5i 0.451299 + 0.565911i 0.954482 0.298269i \(-0.0964093\pi\)
−0.503183 + 0.864180i \(0.667838\pi\)
\(48\) −69639.6 + 15894.8i −0.629698 + 0.143724i
\(49\) −99954.8 −0.849602
\(50\) 13384.9i 0.107079i
\(51\) −76440.3 + 17447.0i −0.576252 + 0.131526i
\(52\) 34400.6 43137.0i 0.244656 0.306789i
\(53\) 32796.4 143690.i 0.220292 0.965162i −0.736967 0.675929i \(-0.763743\pi\)
0.957259 0.289233i \(-0.0934003\pi\)
\(54\) 132793. 166517.i 0.843323 1.05749i
\(55\) −90634.0 + 188203.i −0.544757 + 1.13120i
\(56\) −6878.19 30135.3i −0.0391661 0.171598i
\(57\) 179573. + 86477.6i 0.969651 + 0.466959i
\(58\) −276233. 346385.i −1.41576 1.77531i
\(59\) −19083.1 + 83608.5i −0.0929164 + 0.407094i −0.999901 0.0140703i \(-0.995521\pi\)
0.906985 + 0.421164i \(0.138378\pi\)
\(60\) −24905.7 + 109119.i −0.115304 + 0.505181i
\(61\) 45072.3 + 93593.6i 0.198573 + 0.412341i 0.976349 0.216201i \(-0.0693665\pi\)
−0.777776 + 0.628542i \(0.783652\pi\)
\(62\) −142785. + 113867.i −0.599110 + 0.477774i
\(63\) 171646. + 136883.i 0.686455 + 0.547430i
\(64\) −190025. + 91511.1i −0.724887 + 0.349087i
\(65\) 49551.4 + 102895.i 0.180433 + 0.374673i
\(66\) −192603. + 241516.i −0.669931 + 0.840067i
\(67\) 96851.3 + 121448.i 0.322019 + 0.403798i 0.916322 0.400442i \(-0.131144\pi\)
−0.594303 + 0.804241i \(0.702572\pi\)
\(68\) −254906. + 122756.i −0.810688 + 0.390407i
\(69\) 171877. + 39229.7i 0.523202 + 0.119417i
\(70\) −603070. 137647.i −1.75822 0.401302i
\(71\) 413448. 329714.i 1.15517 0.921218i 0.157373 0.987539i \(-0.449698\pi\)
0.997798 + 0.0663212i \(0.0211262\pi\)
\(72\) −13531.0 + 28097.5i −0.0362521 + 0.0752783i
\(73\) −444210. + 101388.i −1.14188 + 0.260626i −0.751311 0.659948i \(-0.770578\pi\)
−0.390567 + 0.920574i \(0.627721\pi\)
\(74\) 303060. + 145946.i 0.747884 + 0.360162i
\(75\) 15228.6 + 12144.4i 0.0360974 + 0.0287867i
\(76\) 701170. + 160037.i 1.59729 + 0.364570i
\(77\) −634576. 506058.i −1.38999 1.10848i
\(78\) 37581.0 + 164653.i 0.0791926 + 0.346965i
\(79\) 267187. 0.541919 0.270960 0.962591i \(-0.412659\pi\)
0.270960 + 0.962591i \(0.412659\pi\)
\(80\) 533519.i 1.04203i
\(81\) −7377.72 32323.9i −0.0138825 0.0608232i
\(82\) −1.03847e6 + 828155.i −1.88345 + 1.50200i
\(83\) 707833. 340875.i 1.23793 0.596157i 0.303681 0.952774i \(-0.401784\pi\)
0.934251 + 0.356617i \(0.116070\pi\)
\(84\) −391824. 188693.i −0.661079 0.318359i
\(85\) 585621.i 0.953586i
\(86\) 752500. 452720.i 1.18307 0.711762i
\(87\) 644730. 0.979085
\(88\) 50024.3 103877.i 0.0734062 0.152430i
\(89\) −265904. 552155.i −0.377185 0.783233i −1.00000 0.000863685i \(-0.999725\pi\)
0.622814 0.782370i \(-0.285989\pi\)
\(90\) 389115. + 487935.i 0.533766 + 0.669321i
\(91\) −432621. + 98743.0i −0.574095 + 0.131033i
\(92\) 636158. 0.816961
\(93\) 265767.i 0.330409i
\(94\) −809249. + 184706.i −0.974313 + 0.222381i
\(95\) −928166. + 1.16388e6i −1.08257 + 1.35750i
\(96\) 160396. 702740.i 0.181292 0.794294i
\(97\) −322686. + 404636.i −0.353562 + 0.443353i −0.926528 0.376227i \(-0.877221\pi\)
0.572966 + 0.819579i \(0.305793\pi\)
\(98\) 479026. 994707.i 0.508956 1.05686i
\(99\) 182220. + 798358.i 0.187798 + 0.822796i
\(100\) 63325.3 + 30495.8i 0.0633253 + 0.0304958i
\(101\) 935541. + 1.17313e6i 0.908027 + 1.13863i 0.989869 + 0.141985i \(0.0453484\pi\)
−0.0818416 + 0.996645i \(0.526080\pi\)
\(102\) 192709. 844314.i 0.181594 0.795616i
\(103\) 182854. 801134.i 0.167337 0.733151i −0.819718 0.572768i \(-0.805870\pi\)
0.987055 0.160383i \(-0.0512731\pi\)
\(104\) −27349.3 56791.3i −0.0243134 0.0504873i
\(105\) 703786. 561250.i 0.607956 0.484829i
\(106\) 1.27277e6 + 1.01500e6i 1.06864 + 0.852214i
\(107\) −150510. + 72481.8i −0.122861 + 0.0591668i −0.494305 0.869289i \(-0.664577\pi\)
0.371443 + 0.928456i \(0.378863\pi\)
\(108\) 485257. + 1.00765e6i 0.385213 + 0.799903i
\(109\) −343364. + 430565.i −0.265140 + 0.332475i −0.896524 0.442996i \(-0.853916\pi\)
0.631384 + 0.775470i \(0.282487\pi\)
\(110\) −1.43856e6 1.80390e6i −1.08081 1.35530i
\(111\) −441023. + 212386.i −0.322473 + 0.155295i
\(112\) 2.02104e6 + 461290.i 1.43854 + 0.328337i
\(113\) 1.33990e6 + 305822.i 0.928615 + 0.211950i 0.659972 0.751290i \(-0.270568\pi\)
0.268642 + 0.963240i \(0.413425\pi\)
\(114\) −1.72117e6 + 1.37259e6i −1.16174 + 0.926459i
\(115\) −571326. + 1.18637e6i −0.375656 + 0.780058i
\(116\) 2.26815e6 517690.i 1.45311 0.331662i
\(117\) 403366. + 194251.i 0.251850 + 0.121285i
\(118\) −740581. 590593.i −0.450740 0.359453i
\(119\) 2.21841e6 + 506338.i 1.31644 + 0.300469i
\(120\) 99971.7 + 79724.8i 0.0578540 + 0.0461370i
\(121\) −279459. 1.22439e6i −0.157747 0.691135i
\(122\) −1.14741e6 −0.631885
\(123\) 1.93292e6i 1.03872i
\(124\) −213399. 934962.i −0.111925 0.490376i
\(125\) −1.58035e6 + 1.26029e6i −0.809139 + 0.645267i
\(126\) −2.18480e6 + 1.05215e6i −1.09220 + 0.525974i
\(127\) 470905. + 226776.i 0.229891 + 0.110710i 0.545284 0.838252i \(-0.316422\pi\)
−0.315393 + 0.948961i \(0.602136\pi\)
\(128\) 540440.i 0.257702i
\(129\) −167679. + 1.26692e6i −0.0781106 + 0.590173i
\(130\) −1.26143e6 −0.574161
\(131\) −352252. + 731460.i −0.156690 + 0.325369i −0.964504 0.264067i \(-0.914936\pi\)
0.807815 + 0.589437i \(0.200650\pi\)
\(132\) −703816. 1.46149e6i −0.306011 0.635439i
\(133\) −3.60644e6 4.52233e6i −1.53294 1.92224i
\(134\) −1.67275e6 + 381793.i −0.695209 + 0.158677i
\(135\) −2.31496e6 −0.940899
\(136\) 323226.i 0.128496i
\(137\) 350593. 80020.5i 0.136346 0.0311200i −0.153803 0.988101i \(-0.549152\pi\)
0.290149 + 0.956981i \(0.406295\pi\)
\(138\) −1.21410e6 + 1.52244e6i −0.461974 + 0.579297i
\(139\) −43987.3 + 192721.i −0.0163788 + 0.0717603i −0.982457 0.186490i \(-0.940289\pi\)
0.966078 + 0.258250i \(0.0831459\pi\)
\(140\) 2.02524e6 2.53957e6i 0.738062 0.925501i
\(141\) 524102. 1.08831e6i 0.186964 0.388235i
\(142\) 1.29975e6 + 5.69459e6i 0.453937 + 1.98883i
\(143\) −1.49125e6 718147.i −0.509966 0.245587i
\(144\) −1.30403e6 1.63520e6i −0.436716 0.547624i
\(145\) −1.07156e6 + 4.69480e6i −0.351489 + 1.53997i
\(146\) 1.11987e6 4.90648e6i 0.359840 1.57656i
\(147\) 697093. + 1.44753e6i 0.219452 + 0.455696i
\(148\) −1.38097e6 + 1.10129e6i −0.425991 + 0.339717i
\(149\) 2.24736e6 + 1.79221e6i 0.679382 + 0.541789i 0.901257 0.433286i \(-0.142646\pi\)
−0.221874 + 0.975075i \(0.571217\pi\)
\(150\) −193837. + 93347.2i −0.0574333 + 0.0276584i
\(151\) −2.76551e6 5.74264e6i −0.803238 1.66794i −0.742557 0.669783i \(-0.766387\pi\)
−0.0606804 0.998157i \(-0.519327\pi\)
\(152\) 512290. 642391.i 0.145876 0.182923i
\(153\) −1.43137e6 1.79489e6i −0.399649 0.501144i
\(154\) 8.07722e6 3.88979e6i 2.21157 1.06503i
\(155\) 1.93526e6 + 441711.i 0.519690 + 0.118616i
\(156\) −864616. 197343.i −0.227745 0.0519814i
\(157\) −909102. + 724985.i −0.234917 + 0.187340i −0.733872 0.679288i \(-0.762289\pi\)
0.498955 + 0.866628i \(0.333717\pi\)
\(158\) −1.28047e6 + 2.65893e6i −0.324638 + 0.674118i
\(159\) −2.30963e6 + 527157.i −0.574580 + 0.131144i
\(160\) 4.85063e6 + 2.33594e6i 1.18424 + 0.570298i
\(161\) −4.00015e6 3.19002e6i −0.958515 0.764391i
\(162\) 357031. + 81489.9i 0.0839770 + 0.0191672i
\(163\) 351947. + 280668.i 0.0812670 + 0.0648083i 0.663281 0.748371i \(-0.269164\pi\)
−0.582014 + 0.813179i \(0.697735\pi\)
\(164\) −1.55205e6 6.79999e6i −0.351864 1.54162i
\(165\) 3.35762e6 0.747446
\(166\) 8.67766e6i 1.89705i
\(167\) −1.14880e6 5.03322e6i −0.246658 1.08068i −0.934820 0.355121i \(-0.884440\pi\)
0.688163 0.725557i \(-0.258418\pi\)
\(168\) −388446. + 309775.i −0.0819224 + 0.0653309i
\(169\) 3.53351e6 1.70165e6i 0.732059 0.352541i
\(170\) 5.82784e6 + 2.80654e6i 1.18621 + 0.571248i
\(171\) 5.83585e6i 1.16712i
\(172\) 427387. + 4.59163e6i 0.0839916 + 0.902363i
\(173\) 332436. 0.0642052 0.0321026 0.999485i \(-0.489780\pi\)
0.0321026 + 0.999485i \(0.489780\pi\)
\(174\) −3.08982e6 + 6.41607e6i −0.586523 + 1.21793i
\(175\) −245267. 509302.i −0.0457641 0.0950302i
\(176\) 4.82099e6 + 6.04533e6i 0.884298 + 1.10887i
\(177\) 1.34389e6 306734.i 0.242351 0.0553150i
\(178\) 6.76913e6 1.20025
\(179\) 1.00560e7i 1.75334i 0.481091 + 0.876671i \(0.340241\pi\)
−0.481091 + 0.876671i \(0.659759\pi\)
\(180\) −3.19503e6 + 729244.i −0.547844 + 0.125042i
\(181\) 1.44998e6 1.81822e6i 0.244527 0.306627i −0.644389 0.764698i \(-0.722888\pi\)
0.888915 + 0.458071i \(0.151460\pi\)
\(182\) 1.09066e6 4.77848e6i 0.180915 0.792639i
\(183\) 1.04107e6 1.30546e6i 0.169874 0.213015i
\(184\) 315336. 654802.i 0.0506198 0.105113i
\(185\) −813559. 3.56443e6i −0.128491 0.562957i
\(186\) 2.64480e6 + 1.27367e6i 0.411011 + 0.197932i
\(187\) 5.29180e6 + 6.63570e6i 0.809242 + 1.01476i
\(188\) 969915. 4.24947e6i 0.145969 0.639531i
\(189\) 2.00156e6 8.76940e6i 0.296472 1.29893i
\(190\) −7.13430e6 1.48145e7i −1.04014 2.15987i
\(191\) 3.62830e6 2.89347e6i 0.520718 0.415259i −0.327543 0.944836i \(-0.606221\pi\)
0.848262 + 0.529577i \(0.177649\pi\)
\(192\) 2.65050e6 + 2.11370e6i 0.374476 + 0.298635i
\(193\) −8.49762e6 + 4.09224e6i −1.18202 + 0.569232i −0.918500 0.395422i \(-0.870598\pi\)
−0.263522 + 0.964653i \(0.584884\pi\)
\(194\) −2.48031e6 5.15042e6i −0.339704 0.705403i
\(195\) 1.14453e6 1.43519e6i 0.154355 0.193556i
\(196\) 3.61466e6 + 4.53264e6i 0.480064 + 0.601982i
\(197\) 7.79538e6 3.75406e6i 1.01962 0.491023i 0.152068 0.988370i \(-0.451407\pi\)
0.867552 + 0.497347i \(0.165692\pi\)
\(198\) −8.81818e6 2.01269e6i −1.13601 0.259288i
\(199\) −1.03045e7 2.35193e6i −1.30758 0.298445i −0.488717 0.872442i \(-0.662535\pi\)
−0.818858 + 0.573997i \(0.805392\pi\)
\(200\) 62779.2 50064.8i 0.00784740 0.00625809i
\(201\) 1.08334e6 2.24957e6i 0.133406 0.277020i
\(202\) −1.61580e7 + 3.68796e6i −1.96035 + 0.447437i
\(203\) −1.68580e7 8.11841e6i −2.01520 0.970471i
\(204\) 3.55548e6 + 2.83540e6i 0.418801 + 0.333982i
\(205\) 1.40752e7 + 3.21257e6i 1.63377 + 0.372898i
\(206\) 7.09622e6 + 5.65905e6i 0.811756 + 0.647354i
\(207\) 1.14865e6 + 5.03258e6i 0.129502 + 0.567387i
\(208\) 4.22739e6 0.469766
\(209\) 2.15751e7i 2.36328i
\(210\) 2.21248e6 + 9.69351e6i 0.238903 + 1.04670i
\(211\) 4.53902e6 3.61975e6i 0.483186 0.385328i −0.351383 0.936232i \(-0.614288\pi\)
0.834569 + 0.550904i \(0.185717\pi\)
\(212\) −7.70193e6 + 3.70906e6i −0.808336 + 0.389274i
\(213\) −7.65829e6 3.68804e6i −0.792488 0.381642i
\(214\) 1.84517e6i 0.188276i
\(215\) −8.94675e6 3.32665e6i −0.900223 0.334728i
\(216\) 1.27772e6 0.126787
\(217\) −3.34652e6 + 6.94913e6i −0.327503 + 0.680066i
\(218\) −2.63925e6 5.48045e6i −0.254748 0.528989i
\(219\) 4.56625e6 + 5.72589e6i 0.434737 + 0.545143i
\(220\) 1.18120e7 2.69602e6i 1.10932 0.253195i
\(221\) 4.64022e6 0.429894
\(222\) 5.40671e6i 0.494168i
\(223\) 4.60253e6 1.05050e6i 0.415032 0.0947284i −0.00990558 0.999951i \(-0.503153\pi\)
0.424938 + 0.905223i \(0.360296\pi\)
\(224\) −1.30428e7 + 1.63552e7i −1.16045 + 1.45516i
\(225\) −126909. + 556023.i −0.0111415 + 0.0488141i
\(226\) −9.46475e6 + 1.18684e7i −0.819943 + 1.02818i
\(227\) −5.20887e6 + 1.08163e7i −0.445314 + 0.924704i 0.550632 + 0.834748i \(0.314387\pi\)
−0.995946 + 0.0899556i \(0.971327\pi\)
\(228\) −2.57238e6 1.12703e7i −0.217036 0.950895i
\(229\) 7.31547e6 + 3.52294e6i 0.609166 + 0.293359i 0.712921 0.701244i \(-0.247372\pi\)
−0.103755 + 0.994603i \(0.533086\pi\)
\(230\) −9.06820e6 1.13712e7i −0.745311 0.934591i
\(231\) −2.90306e6 + 1.27191e7i −0.235516 + 1.03186i
\(232\) 591432. 2.59123e6i 0.0473632 0.207512i
\(233\) −2.94911e6 6.12389e6i −0.233143 0.484127i 0.751270 0.659994i \(-0.229441\pi\)
−0.984414 + 0.175867i \(0.943727\pi\)
\(234\) −3.86620e6 + 3.08319e6i −0.301743 + 0.240632i
\(235\) 7.05377e6 + 5.62520e6i 0.543523 + 0.433445i
\(236\) 4.48149e6 2.15817e6i 0.340946 0.164191i
\(237\) −1.86339e6 3.86936e6i −0.139977 0.290666i
\(238\) −1.56704e7 + 1.96501e7i −1.16238 + 1.45758i
\(239\) 1.25595e7 + 1.57491e7i 0.919981 + 1.15362i 0.987770 + 0.155920i \(0.0498341\pi\)
−0.0677891 + 0.997700i \(0.521594\pi\)
\(240\) −7.72633e6 + 3.72081e6i −0.558907 + 0.269156i
\(241\) 9.12278e6 + 2.08221e6i 0.651742 + 0.148756i 0.535594 0.844476i \(-0.320088\pi\)
0.116149 + 0.993232i \(0.462945\pi\)
\(242\) 1.35239e7 + 3.08673e6i 0.954233 + 0.217798i
\(243\) −1.14068e7 + 9.09665e6i −0.794962 + 0.633961i
\(244\) 2.61423e6 5.42851e6i 0.179959 0.373690i
\(245\) −1.16992e7 + 2.67027e6i −0.795533 + 0.181575i
\(246\) 1.92356e7 + 9.26338e6i 1.29211 + 0.622249i
\(247\) −9.22214e6 7.35441e6i −0.611985 0.488042i
\(248\) −1.06814e6 243797.i −0.0700285 0.0159835i
\(249\) −9.87298e6 7.87344e6i −0.639514 0.509996i
\(250\) −4.96812e6 2.17668e7i −0.317960 1.39307i
\(251\) 2.56090e7 1.61946 0.809732 0.586800i \(-0.199613\pi\)
0.809732 + 0.586800i \(0.199613\pi\)
\(252\) 1.27337e7i 0.795708i
\(253\) −4.24657e6 1.86055e7i −0.262227 1.14889i
\(254\) −4.51355e6 + 3.59943e6i −0.275433 + 0.219651i
\(255\) −8.48086e6 + 4.08417e6i −0.511469 + 0.246311i
\(256\) −1.75398e7 8.44673e6i −1.04545 0.503464i
\(257\) 2.84340e7i 1.67509i 0.546367 + 0.837546i \(0.316010\pi\)
−0.546367 + 0.837546i \(0.683990\pi\)
\(258\) −1.18042e7 7.74027e6i −0.687350 0.450710i
\(259\) 1.42060e7 0.817659
\(260\) 2.87402e6 5.96797e6i 0.163520 0.339552i
\(261\) 8.19078e6 + 1.70083e7i 0.460685 + 0.956621i
\(262\) −5.59102e6 7.01092e6i −0.310876 0.389826i
\(263\) 2.20115e7 5.02398e6i 1.20999 0.276173i 0.430503 0.902589i \(-0.358336\pi\)
0.779488 + 0.626417i \(0.215479\pi\)
\(264\) −1.85320e6 −0.100719
\(265\) 1.76944e7i 0.950819i
\(266\) 6.22879e7 1.42168e7i 3.30947 0.755365i
\(267\) −6.14178e6 + 7.70155e6i −0.322672 + 0.404617i
\(268\) 2.00485e6 8.78381e6i 0.104154 0.456329i
\(269\) 1.98298e6 2.48657e6i 0.101873 0.127745i −0.728281 0.685278i \(-0.759681\pi\)
0.830155 + 0.557533i \(0.188252\pi\)
\(270\) 1.10943e7 2.30375e7i 0.563648 1.17043i
\(271\) 1.88759e6 + 8.27006e6i 0.0948417 + 0.415528i 0.999953 0.00964512i \(-0.00307019\pi\)
−0.905112 + 0.425174i \(0.860213\pi\)
\(272\) −1.95306e7 9.40544e6i −0.970530 0.467383i
\(273\) 4.44712e6 + 5.57651e6i 0.218570 + 0.274078i
\(274\) −883859. + 3.87244e6i −0.0429666 + 0.188249i
\(275\) 469182. 2.05562e6i 0.0225602 0.0988427i
\(276\) −4.43662e6 9.21273e6i −0.211021 0.438189i
\(277\) −4.50580e6 + 3.59326e6i −0.211999 + 0.169063i −0.723732 0.690081i \(-0.757575\pi\)
0.511734 + 0.859144i \(0.329003\pi\)
\(278\) −1.70707e6 1.36134e6i −0.0794541 0.0633625i
\(279\) 7.01107e6 3.37635e6i 0.322829 0.155466i
\(280\) −1.61011e6 3.34344e6i −0.0733471 0.152307i
\(281\) −5.34936e6 + 6.70788e6i −0.241092 + 0.302320i −0.887626 0.460566i \(-0.847647\pi\)
0.646534 + 0.762885i \(0.276218\pi\)
\(282\) 8.31865e6 + 1.04313e7i 0.370942 + 0.465146i
\(283\) −2.01394e7 + 9.69864e6i −0.888563 + 0.427909i −0.821745 0.569856i \(-0.806999\pi\)
−0.0668180 + 0.997765i \(0.521285\pi\)
\(284\) −2.99030e7 6.82517e6i −1.30545 0.297960i
\(285\) 2.33283e7 + 5.32453e6i 1.00774 + 0.230010i
\(286\) 1.42934e7 1.13986e7i 0.610993 0.487251i
\(287\) −2.43393e7 + 5.05410e7i −1.02958 + 2.13795i
\(288\) 2.05764e7 4.69642e6i 0.861373 0.196603i
\(289\) 309293. + 148947.i 0.0128137 + 0.00617077i
\(290\) −4.15852e7 3.31631e7i −1.70508 1.35976i
\(291\) 8.11032e6 + 1.85113e6i 0.329123 + 0.0751203i
\(292\) 2.06616e7 + 1.64771e7i 0.829880 + 0.661807i
\(293\) −2.65231e6 1.16205e7i −0.105444 0.461980i −0.999890 0.0148052i \(-0.995287\pi\)
0.894446 0.447175i \(-0.147570\pi\)
\(294\) −1.77459e7 −0.698324
\(295\) 1.02957e7i 0.401044i
\(296\) 449034. + 1.96735e6i 0.0173143 + 0.0758587i
\(297\) 2.62310e7 2.09185e7i 1.00126 0.798476i
\(298\) −2.86056e7 + 1.37757e7i −1.08094 + 0.520554i
\(299\) −9.40031e6 4.52695e6i −0.351665 0.169353i
\(300\) 1.12975e6i 0.0418425i
\(301\) 2.03373e7 3.10152e7i 0.745752 1.13730i
\(302\) 7.04017e7 2.55601
\(303\) 1.04646e7 2.17299e7i 0.376178 0.781141i
\(304\) 2.39089e7 + 4.96473e7i 0.851018 + 1.76716i
\(305\) 7.77581e6 + 9.75056e6i 0.274060 + 0.343661i
\(306\) 2.47217e7 5.64256e6i 0.862807 0.196930i
\(307\) −3.47232e7 −1.20006 −0.600032 0.799976i \(-0.704846\pi\)
−0.600032 + 0.799976i \(0.704846\pi\)
\(308\) 4.70766e7i 1.61121i
\(309\) −1.28771e7 + 2.93912e6i −0.436459 + 0.0996189i
\(310\) −1.36703e7 + 1.71420e7i −0.458874 + 0.575409i
\(311\) −1.93516e6 + 8.47848e6i −0.0643332 + 0.281862i −0.996855 0.0792527i \(-0.974747\pi\)
0.932521 + 0.361115i \(0.117604\pi\)
\(312\) −631707. + 792135.i −0.0207994 + 0.0260817i
\(313\) −1.29371e7 + 2.68641e7i −0.421893 + 0.876071i 0.576371 + 0.817188i \(0.304468\pi\)
−0.998265 + 0.0588830i \(0.981246\pi\)
\(314\) −2.85793e6 1.25214e7i −0.0923130 0.404450i
\(315\) 2.37471e7 + 1.14360e7i 0.759765 + 0.365883i
\(316\) −9.66228e6 1.21161e7i −0.306209 0.383974i
\(317\) 2.42845e6 1.06397e7i 0.0762344 0.334005i −0.922401 0.386234i \(-0.873776\pi\)
0.998635 + 0.0522295i \(0.0166327\pi\)
\(318\) 5.82266e6 2.55108e7i 0.181067 0.793308i
\(319\) −3.02813e7 6.28799e7i −0.932831 1.93704i
\(320\) −1.97967e7 + 1.57874e7i −0.604149 + 0.481793i
\(321\) 2.09934e6 + 1.67417e6i 0.0634699 + 0.0506155i
\(322\) 5.09161e7 2.45199e7i 1.52506 0.734431i
\(323\) 2.62438e7 + 5.44957e7i 0.778786 + 1.61717i
\(324\) −1.19899e6 + 1.50349e6i −0.0352517 + 0.0442043i
\(325\) −718728. 901256.i −0.0209370 0.0262542i
\(326\) −4.47976e6 + 2.15734e6i −0.129301 + 0.0622682i
\(327\) 8.63001e6 + 1.96974e6i 0.246813 + 0.0563335i
\(328\) −7.76861e6 1.77314e6i −0.220152 0.0502482i
\(329\) −2.74078e7 + 2.18570e7i −0.769639 + 0.613766i
\(330\) −1.60911e7 + 3.34136e7i −0.447759 + 0.929782i
\(331\) −5.21922e7 + 1.19125e7i −1.43920 + 0.328488i −0.869732 0.493525i \(-0.835708\pi\)
−0.569469 + 0.822013i \(0.692851\pi\)
\(332\) −4.10549e7 1.97710e7i −1.12189 0.540275i
\(333\) −1.12057e7 8.93624e6i −0.303463 0.242004i
\(334\) 5.55939e7 + 1.26889e7i 1.49207 + 0.340554i
\(335\) 1.45804e7 + 1.16275e7i 0.387824 + 0.309279i
\(336\) −7.41460e6 3.24855e7i −0.195465 0.856390i
\(337\) −5.39446e7 −1.40948 −0.704740 0.709466i \(-0.748936\pi\)
−0.704740 + 0.709466i \(0.748936\pi\)
\(338\) 4.33190e7i 1.12183i
\(339\) −4.91567e6 2.15370e7i −0.126178 0.552822i
\(340\) −2.65561e7 + 2.11778e7i −0.675659 + 0.538820i
\(341\) −2.59200e7 + 1.24824e7i −0.653689 + 0.314800i
\(342\) −5.80758e7 2.79678e7i −1.45183 0.699166i
\(343\) 8.25398e6i 0.204541i
\(344\) 4.93805e6 + 1.83610e6i 0.121305 + 0.0451047i
\(345\) 2.11653e7 0.515427
\(346\) −1.59317e6 + 3.30826e6i −0.0384623 + 0.0798678i
\(347\) −1.78157e7 3.69947e7i −0.426398 0.885424i −0.997897 0.0648215i \(-0.979352\pi\)
0.571499 0.820603i \(-0.306362\pi\)
\(348\) −2.33153e7 2.92365e7i −0.553228 0.693726i
\(349\) 6.28606e7 1.43475e7i 1.47877 0.337521i 0.594351 0.804206i \(-0.297409\pi\)
0.884424 + 0.466685i \(0.154552\pi\)
\(350\) 6.24378e6 0.145627
\(351\) 1.83428e7i 0.424175i
\(352\) −7.60709e7 + 1.73627e7i −1.74418 + 0.398097i
\(353\) 5.00239e7 6.27279e7i 1.13724 1.42606i 0.247918 0.968781i \(-0.420254\pi\)
0.889325 0.457276i \(-0.151175\pi\)
\(354\) −3.38800e6 + 1.48438e7i −0.0763720 + 0.334608i
\(355\) 3.95838e7 4.96365e7i 0.884774 1.10947i
\(356\) −1.54227e7 + 3.20255e7i −0.341829 + 0.709816i
\(357\) −8.13869e6 3.56579e7i −0.178875 0.783703i
\(358\) −1.00073e8 4.81926e7i −2.18106 1.05034i
\(359\) 8.74314e6 + 1.09635e7i 0.188966 + 0.236956i 0.867285 0.497811i \(-0.165863\pi\)
−0.678319 + 0.734767i \(0.737291\pi\)
\(360\) −833122. + 3.65015e6i −0.0178567 + 0.0782353i
\(361\) 2.37453e7 1.04035e8i 0.504726 2.21135i
\(362\) 1.11452e7 + 2.31432e7i 0.234943 + 0.487863i
\(363\) −1.57824e7 + 1.25861e7i −0.329954 + 0.263130i
\(364\) 2.01226e7 + 1.60472e7i 0.417233 + 0.332732i
\(365\) −4.92840e7 + 2.37339e7i −1.01351 + 0.488080i
\(366\) 8.00212e6 + 1.66166e7i 0.163216 + 0.338921i
\(367\) 8.27589e6 1.03776e7i 0.167424 0.209943i −0.691041 0.722816i \(-0.742848\pi\)
0.858464 + 0.512873i \(0.171419\pi\)
\(368\) 3.03899e7 + 3.81077e7i 0.609798 + 0.764662i
\(369\) 5.09916e7 2.45562e7i 1.01489 0.488746i
\(370\) 3.93706e7 + 8.98608e6i 0.777261 + 0.177405i
\(371\) 6.70288e7 + 1.52989e7i 1.31262 + 0.299597i
\(372\) −1.20517e7 + 9.61092e6i −0.234110 + 0.186696i
\(373\) 1.44550e6 3.00160e6i 0.0278542 0.0578398i −0.886578 0.462580i \(-0.846924\pi\)
0.914432 + 0.404740i \(0.132638\pi\)
\(374\) −9.13961e7 + 2.08606e7i −1.74708 + 0.398760i
\(375\) 2.92727e7 + 1.40970e7i 0.555098 + 0.267321i
\(376\) −3.89324e6 3.10476e6i −0.0732399 0.0584069i
\(377\) −3.71997e7 8.49058e6i −0.694249 0.158458i
\(378\) 7.76769e7 + 6.19453e7i 1.43819 + 1.14692i
\(379\) 8.06707e6 + 3.53442e7i 0.148183 + 0.649232i 0.993390 + 0.114792i \(0.0366202\pi\)
−0.845207 + 0.534440i \(0.820523\pi\)
\(380\) 8.63437e7 1.57355
\(381\) 8.40112e6i 0.151902i
\(382\) 1.14062e7 + 4.99740e7i 0.204622 + 0.896507i
\(383\) −3.07130e7 + 2.44928e7i −0.546670 + 0.435955i −0.857480 0.514517i \(-0.827971\pi\)
0.310810 + 0.950472i \(0.399400\pi\)
\(384\) 7.82657e6 3.76908e6i 0.138222 0.0665643i
\(385\) −8.77932e7 4.22790e7i −1.53843 0.740870i
\(386\) 1.04176e8i 1.81137i
\(387\) −3.55522e7 + 1.16717e7i −0.613385 + 0.201373i
\(388\) 3.00183e7 0.513914
\(389\) −4.31579e7 + 8.96183e7i −0.733181 + 1.52247i 0.115352 + 0.993325i \(0.463200\pi\)
−0.848533 + 0.529142i \(0.822514\pi\)
\(390\) 8.79733e6 + 1.82679e7i 0.148305 + 0.307960i
\(391\) 3.33577e7 + 4.18292e7i 0.558040 + 0.699761i
\(392\) 6.45723e6 1.47382e6i 0.107198 0.0244673i
\(393\) 1.30495e7 0.214989
\(394\) 9.55672e7i 1.56250i
\(395\) 3.12729e7 7.13784e6i 0.507431 0.115818i
\(396\) 2.96134e7 3.71341e7i 0.476874 0.597981i
\(397\) 1.89296e7 8.29358e7i 0.302530 1.32547i −0.563763 0.825936i \(-0.690647\pi\)
0.866294 0.499535i \(-0.166496\pi\)
\(398\) 7.27887e7 9.12742e7i 1.15456 1.44777i
\(399\) −4.03401e7 + 8.37670e7i −0.635065 + 1.31873i
\(400\) 1.19832e6 + 5.25019e6i 0.0187238 + 0.0820342i
\(401\) −4.80377e7 2.31337e7i −0.744987 0.358767i 0.0225717 0.999745i \(-0.492815\pi\)
−0.767559 + 0.640978i \(0.778529\pi\)
\(402\) 1.71949e7 + 2.15618e7i 0.264681 + 0.331899i
\(403\) −3.49994e6 + 1.53342e7i −0.0534743 + 0.234286i
\(404\) 1.93660e7 8.48478e7i 0.293694 1.28676i
\(405\) −1.72705e6 3.58626e6i −0.0259980 0.0539854i
\(406\) 1.61582e8 1.28857e8i 2.41443 1.92544i
\(407\) 4.14275e7 + 3.30373e7i 0.614477 + 0.490029i
\(408\) 4.68091e6 2.25421e6i 0.0689207 0.0331904i
\(409\) 2.53934e7 + 5.27300e7i 0.371151 + 0.770704i 0.999977 0.00684294i \(-0.00217819\pi\)
−0.628825 + 0.777547i \(0.716464\pi\)
\(410\) −9.94242e7 + 1.24674e8i −1.44258 + 1.80894i
\(411\) −3.60391e6 4.51916e6i −0.0519097 0.0650927i
\(412\) −4.29415e7 + 2.06795e7i −0.614024 + 0.295698i
\(413\) −3.90017e7 8.90188e6i −0.553647 0.126366i
\(414\) −5.55868e7 1.26873e7i −0.783377 0.178801i
\(415\) 7.37419e7 5.88072e7i 1.03174 0.822785i
\(416\) −1.85091e7 + 3.84344e7i −0.257101 + 0.533876i
\(417\) 3.09772e6 707035.i 0.0427203 0.00975063i
\(418\) 2.14706e8 + 1.03397e8i 2.93979 + 1.41573i
\(419\) −9.39160e7 7.48955e7i −1.27673 1.01815i −0.998335 0.0576870i \(-0.981627\pi\)
−0.278391 0.960468i \(-0.589801\pi\)
\(420\) −5.09019e7 1.16180e7i −0.687047 0.156814i
\(421\) 1.00708e8 + 8.03122e7i 1.34964 + 1.07631i 0.989673 + 0.143342i \(0.0457848\pi\)
0.359971 + 0.932963i \(0.382787\pi\)
\(422\) 1.42692e7 + 6.25176e7i 0.189873 + 0.831889i
\(423\) 3.53684e7 0.467299
\(424\) 9.76620e6i 0.128123i
\(425\) 1.31535e6 + 5.76291e6i 0.0171346 + 0.0750714i
\(426\) 7.34035e7 5.85373e7i 0.949484 0.757188i
\(427\) −4.36596e7 + 2.10253e7i −0.560784 + 0.270059i
\(428\) 8.72972e6 + 4.20401e6i 0.111344 + 0.0536207i
\(429\) 2.66044e7i 0.336963i
\(430\) 7.59820e7 7.30915e7i 0.955664 0.919309i
\(431\) −7.45728e7 −0.931426 −0.465713 0.884936i \(-0.654202\pi\)
−0.465713 + 0.884936i \(0.654202\pi\)
\(432\) −3.71798e7 + 7.72047e7i −0.461165 + 0.957618i
\(433\) −2.98942e7 6.20759e7i −0.368233 0.764644i 0.631711 0.775204i \(-0.282353\pi\)
−0.999944 + 0.0105598i \(0.996639\pi\)
\(434\) −5.31167e7 6.66063e7i −0.649774 0.814790i
\(435\) 7.54624e7 1.72238e7i 0.916775 0.209248i
\(436\) 3.19418e7 0.385390
\(437\) 1.36002e8i 1.62968i
\(438\) −7.88649e7 + 1.80004e7i −0.938559 + 0.214220i
\(439\) 2.08724e7 2.61731e7i 0.246705 0.309359i −0.643025 0.765845i \(-0.722321\pi\)
0.889730 + 0.456486i \(0.150892\pi\)
\(440\) 3.08006e6 1.34946e7i 0.0361577 0.158417i
\(441\) −2.93306e7 + 3.67794e7i −0.341983 + 0.428834i
\(442\) −2.22379e7 + 4.61774e7i −0.257529 + 0.534765i
\(443\) −3.23401e7 1.41691e8i −0.371989 1.62979i −0.721185 0.692743i \(-0.756402\pi\)
0.349196 0.937050i \(-0.386455\pi\)
\(444\) 2.55797e7 + 1.23186e7i 0.292245 + 0.140738i
\(445\) −4.58734e7 5.75234e7i −0.520572 0.652777i
\(446\) −1.16032e7 + 5.08368e7i −0.130789 + 0.573025i
\(447\) 1.02812e7 4.50450e7i 0.115112 0.504340i
\(448\) −4.26881e7 8.86428e7i −0.474759 0.985847i
\(449\) −6.76179e7 + 5.39235e7i −0.747004 + 0.595716i −0.921243 0.388988i \(-0.872825\pi\)
0.174239 + 0.984703i \(0.444253\pi\)
\(450\) −4.92510e6 3.92763e6i −0.0540477 0.0431016i
\(451\) −1.88516e8 + 9.07846e7i −2.05503 + 0.989652i
\(452\) −3.45865e7 7.18195e7i −0.374534 0.777727i
\(453\) −6.38770e7 + 8.00993e7i −0.687148 + 0.861656i
\(454\) −8.26763e7 1.03673e8i −0.883515 1.10789i
\(455\) −4.79983e7 + 2.31147e7i −0.509555 + 0.245389i
\(456\) −1.28758e7 2.93881e6i −0.135793 0.0309939i
\(457\) 1.52324e8 + 3.47669e7i 1.59595 + 0.364265i 0.925815 0.377976i \(-0.123380\pi\)
0.670133 + 0.742241i \(0.266237\pi\)
\(458\) −7.01176e7 + 5.59169e7i −0.729845 + 0.582032i
\(459\) −4.08107e7 + 8.47443e7i −0.422023 + 0.876339i
\(460\) 7.44590e7 1.69948e7i 0.764969 0.174599i
\(461\) −9.87036e7 4.75331e7i −1.00747 0.485170i −0.144000 0.989578i \(-0.545996\pi\)
−0.863465 + 0.504408i \(0.831711\pi\)
\(462\) −1.12662e8 8.98453e7i −1.14249 0.911107i
\(463\) 1.12409e8 + 2.56566e7i 1.13255 + 0.258498i 0.747412 0.664361i \(-0.231296\pi\)
0.385140 + 0.922858i \(0.374153\pi\)
\(464\) 1.39363e8 + 1.11138e8i 1.39506 + 1.11252i
\(465\) −7.09990e6 3.11067e7i −0.0706144 0.309382i
\(466\) 7.50756e7 0.741893
\(467\) 9.25263e7i 0.908478i 0.890880 + 0.454239i \(0.150089\pi\)
−0.890880 + 0.454239i \(0.849911\pi\)
\(468\) −5.77823e6 2.53161e7i −0.0563712 0.246979i
\(469\) −5.66529e7 + 4.51792e7i −0.549166 + 0.437945i
\(470\) −8.97841e7 + 4.32378e7i −0.864781 + 0.416456i
\(471\) 1.68393e7 + 8.10936e6i 0.161161 + 0.0776111i
\(472\) 5.68261e6i 0.0540408i
\(473\) 1.31437e8 4.31503e7i 1.24203 0.407756i
\(474\) 4.74363e7 0.445426
\(475\) 6.51962e6 1.35381e7i 0.0608333 0.126322i
\(476\) −5.72634e7 1.18909e8i −0.530954 1.10254i
\(477\) −4.32486e7 5.42321e7i −0.398490 0.499690i
\(478\) −2.16919e8 + 4.95103e7i −1.98616 + 0.453327i
\(479\) 6.83869e7 0.622252 0.311126 0.950369i \(-0.399294\pi\)
0.311126 + 0.950369i \(0.399294\pi\)
\(480\) 8.65371e7i 0.782490i
\(481\) 2.82431e7 6.44631e6i 0.253792 0.0579263i
\(482\) −6.44414e7 + 8.08070e7i −0.575472 + 0.721619i
\(483\) −1.82999e7 + 8.01770e7i −0.162408 + 0.711555i
\(484\) −4.54162e7 + 5.69501e7i −0.400566 + 0.502294i
\(485\) −2.69591e7 + 5.59811e7i −0.236309 + 0.490700i
\(486\) −3.58595e7 1.57111e8i −0.312389 1.36867i
\(487\) −1.63767e8 7.88662e7i −1.41788 0.682817i −0.441182 0.897418i \(-0.645441\pi\)
−0.976702 + 0.214601i \(0.931155\pi\)
\(488\) −4.29176e6 5.38170e6i −0.0369297 0.0463084i
\(489\) 1.61008e6 7.05424e6i 0.0137696 0.0603287i
\(490\) 2.94942e7 1.29222e8i 0.250696 1.09837i
\(491\) 3.66823e7 + 7.61715e7i 0.309893 + 0.643499i 0.996506 0.0835239i \(-0.0266175\pi\)
−0.686613 + 0.727023i \(0.740903\pi\)
\(492\) −8.76521e7 + 6.99002e7i −0.735982 + 0.586926i
\(493\) 1.52973e8 + 1.21992e8i 1.27665 + 1.01810i
\(494\) 1.17384e8 5.65293e7i 0.973708 0.468913i
\(495\) 4.26558e7 + 8.85758e7i 0.351692 + 0.730297i
\(496\) 4.58127e7 5.74473e7i 0.375441 0.470788i
\(497\) 1.53805e8 + 1.92866e8i 1.25286 + 1.57103i
\(498\) 1.25668e8 6.05187e7i 1.01751 0.490006i
\(499\) 6.20080e7 + 1.41529e7i 0.499052 + 0.113905i 0.464635 0.885502i \(-0.346185\pi\)
0.0344169 + 0.999408i \(0.489043\pi\)
\(500\) 1.14300e8 + 2.60883e7i 0.914401 + 0.208706i
\(501\) −6.48784e7 + 5.17388e7i −0.515926 + 0.411437i
\(502\) −1.22729e8 + 2.54849e8i −0.970144 + 2.01452i
\(503\) −4.72745e7 + 1.07901e7i −0.371469 + 0.0847854i −0.404180 0.914679i \(-0.632443\pi\)
0.0327109 + 0.999465i \(0.489586\pi\)
\(504\) −1.31069e7 6.31196e6i −0.102379 0.0493029i
\(505\) 1.40840e8 + 1.12316e8i 1.09359 + 0.872105i
\(506\) 2.05505e8 + 4.69051e7i 1.58625 + 0.362050i
\(507\) −4.92860e7 3.93043e7i −0.378181 0.301589i
\(508\) −6.74573e6 2.95550e7i −0.0514562 0.225444i
\(509\) −1.21771e8 −0.923401 −0.461701 0.887036i \(-0.652761\pi\)
−0.461701 + 0.887036i \(0.652761\pi\)
\(510\) 1.03971e8i 0.783793i
\(511\) −4.72955e7 2.07215e8i −0.354452 1.55296i
\(512\) 1.41074e8 1.12503e8i 1.05108 0.838212i
\(513\) 2.15422e8 1.03742e8i 1.59565 0.768426i
\(514\) −2.82963e8 1.36268e8i −2.08372 1.00347i
\(515\) 9.86536e7i 0.722256i
\(516\) 6.35146e7 3.82117e7i 0.462300 0.278130i
\(517\) −1.30757e8 −0.946224
\(518\) −6.80810e7 + 1.41372e8i −0.489820 + 1.01712i
\(519\) −2.31844e6 4.81429e6i −0.0165842 0.0344374i
\(520\) −4.71826e6 5.91651e6i −0.0335561 0.0420780i
\(521\) 4.23410e7 9.66405e6i 0.299397 0.0683355i −0.0701835 0.997534i \(-0.522358\pi\)
0.369581 + 0.929199i \(0.379501\pi\)
\(522\) −2.08513e8 −1.46596
\(523\) 7.70056e7i 0.538291i 0.963100 + 0.269146i \(0.0867413\pi\)
−0.963100 + 0.269146i \(0.913259\pi\)
\(524\) 4.59079e7 1.04782e7i 0.319076 0.0728269i
\(525\) −5.66512e6 + 7.10384e6i −0.0391500 + 0.0490925i
\(526\) −5.54918e7 + 2.43126e8i −0.381304 + 1.67060i
\(527\) 5.02867e7 6.30575e7i 0.343575 0.430829i
\(528\) 5.39255e7 1.11978e8i 0.366347 0.760727i
\(529\) 6.17212e6 + 2.70418e7i 0.0416934 + 0.182671i
\(530\) 1.76087e8 + 8.47989e7i 1.18277 + 0.569591i
\(531\) 2.51649e7 + 3.15557e7i 0.168078 + 0.210763i
\(532\) −7.46543e7 + 3.27082e8i −0.495815 + 2.17231i
\(533\) −2.54551e7 + 1.11526e8i −0.168110 + 0.736536i
\(534\) −4.72085e7 9.80294e7i −0.310025 0.643773i
\(535\) −1.56801e7 + 1.25045e7i −0.102397 + 0.0816590i
\(536\) −8.04747e6 6.41764e6i −0.0522594 0.0416755i
\(537\) 1.45629e8 7.01314e7i 0.940430 0.452887i
\(538\) 1.52420e7 + 3.16504e7i 0.0978805 + 0.203251i
\(539\) 1.08435e8 1.35974e8i 0.692475 0.868337i
\(540\) 8.37160e7 + 1.04976e8i 0.531651 + 0.666670i
\(541\) −3.94404e7 + 1.89935e7i −0.249086 + 0.119953i −0.554261 0.832343i \(-0.686999\pi\)
0.305175 + 0.952296i \(0.401285\pi\)
\(542\) −9.13461e7 2.08492e7i −0.573710 0.130946i
\(543\) −3.64434e7 8.31797e6i −0.227625 0.0519539i
\(544\) 1.71024e8 1.36387e8i 1.06233 0.847184i
\(545\) −2.86866e7 + 5.95683e7i −0.177210 + 0.367981i
\(546\) −7.68074e7 + 1.75308e7i −0.471873 + 0.107702i
\(547\) 7.60888e7 + 3.66424e7i 0.464899 + 0.223884i 0.651644 0.758525i \(-0.274080\pi\)
−0.186745 + 0.982408i \(0.559794\pi\)
\(548\) −1.63072e7 1.30045e7i −0.0990915 0.0790229i
\(549\) 4.76646e7 + 1.08791e7i 0.288058 + 0.0657473i
\(550\) 1.82081e7 + 1.45205e7i 0.109440 + 0.0872756i
\(551\) −1.10675e8 4.84901e8i −0.661602 2.89867i
\(552\) −1.16819e7 −0.0694540
\(553\) 1.24638e8i 0.737010i
\(554\) −1.41648e7 6.20602e7i −0.0833071 0.364992i
\(555\) −4.59457e7 + 3.66405e7i −0.268761 + 0.214330i
\(556\) 1.03300e7 4.97466e6i 0.0601002 0.0289427i
\(557\) −5.24999e7 2.52826e7i −0.303804 0.146304i 0.275771 0.961223i \(-0.411067\pi\)
−0.579574 + 0.814919i \(0.696781\pi\)
\(558\) 8.59520e7i 0.494713i
\(559\) 2.63590e7 7.08904e7i 0.150902 0.405838i
\(560\) 2.48876e8 1.41716
\(561\) 5.91917e7 1.22913e8i 0.335253 0.696160i
\(562\) −4.11175e7 8.53814e7i −0.231642 0.481010i
\(563\) 2.48614e7 + 3.11753e7i 0.139316 + 0.174697i 0.846595 0.532238i \(-0.178649\pi\)
−0.707279 + 0.706935i \(0.750077\pi\)
\(564\) −6.83045e7 + 1.55900e7i −0.380725 + 0.0868981i
\(565\) 1.64998e8 0.914815
\(566\) 2.46899e8i 1.36166i
\(567\) 1.50785e7 3.44156e6i 0.0827196 0.0188802i
\(568\) −2.18478e7 + 2.73963e7i −0.119224 + 0.149502i
\(569\) −9.51543e6 + 4.16898e7i −0.0516526 + 0.226305i −0.994166 0.107865i \(-0.965599\pi\)
0.942513 + 0.334169i \(0.108456\pi\)
\(570\) −1.64786e8 + 2.06635e8i −0.889808 + 1.11578i
\(571\) 1.39651e8 2.89988e8i 0.750127 1.55765i −0.0778967 0.996961i \(-0.524820\pi\)
0.828024 0.560693i \(-0.189465\pi\)
\(572\) 2.13622e7 + 9.35937e7i 0.114145 + 0.500102i
\(573\) −6.72068e7 3.23651e7i −0.357231 0.172034i
\(574\) −3.86318e8 4.84428e8i −2.04272 2.56149i
\(575\) 2.95756e6 1.29579e7i 0.0155572 0.0681604i
\(576\) −2.20881e7 + 9.67744e7i −0.115582 + 0.506399i
\(577\) −1.25213e8 2.60008e8i −0.651812 1.35350i −0.920678 0.390324i \(-0.872363\pi\)
0.268865 0.963178i \(-0.413351\pi\)
\(578\) −2.96452e6 + 2.36412e6i −0.0153522 + 0.0122430i
\(579\) 1.18526e8 + 9.45215e7i 0.610631 + 0.486962i
\(580\) 2.51645e8 1.21186e8i 1.28975 0.621110i
\(581\) 1.59011e8 + 3.30190e8i 0.810773 + 1.68359i
\(582\) −5.72896e7 + 7.18389e7i −0.290608 + 0.364411i
\(583\) 1.59890e8 + 2.00496e8i 0.806894 + 1.01181i
\(584\) 2.72017e7 1.30996e7i 0.136571 0.0657690i
\(585\) 5.24013e7 + 1.19603e7i 0.261743 + 0.0597411i
\(586\) 1.28354e8 + 2.92959e7i 0.637845 + 0.145584i
\(587\) 2.00940e8 1.60244e8i 0.993462 0.792260i 0.0152536 0.999884i \(-0.495144\pi\)
0.978209 + 0.207624i \(0.0665730\pi\)
\(588\) 4.04320e7 8.39580e7i 0.198881 0.412981i
\(589\) −1.99883e8 + 4.56220e7i −0.978205 + 0.223269i
\(590\) −1.02459e8 4.93415e7i −0.498877 0.240246i
\(591\) −1.08731e8 8.67103e7i −0.526735 0.420057i
\(592\) −1.31941e8 3.01147e7i −0.635938 0.145149i
\(593\) −1.94849e7 1.55387e7i −0.0934404 0.0745162i 0.575655 0.817692i \(-0.304747\pi\)
−0.669096 + 0.743176i \(0.733318\pi\)
\(594\) 8.24620e7 + 3.61290e8i 0.393455 + 1.72384i
\(595\) 2.73180e8 1.29688
\(596\) 1.66723e8i 0.787509i
\(597\) 3.78040e7 + 1.65630e8i 0.177670 + 0.778425i
\(598\) 9.01005e7 7.18528e7i 0.421331 0.336000i
\(599\) −2.39010e8 + 1.15101e8i −1.11208 + 0.535550i −0.897437 0.441143i \(-0.854573\pi\)
−0.214643 + 0.976692i \(0.568859\pi\)
\(600\) −1.16286e6 560002.i −0.00538360 0.00259260i
\(601\) 2.51018e8i 1.15633i 0.815920 + 0.578165i \(0.196231\pi\)
−0.815920 + 0.578165i \(0.803769\pi\)
\(602\) 2.11185e8 + 3.51026e8i 0.967996 + 1.60898i
\(603\) 7.31078e7 0.333435
\(604\) −1.60402e8 + 3.33078e8i −0.727945 + 1.51159i
\(605\) −6.54184e7 1.35843e8i −0.295416 0.613438i
\(606\) 1.66096e8 + 2.08277e8i 0.746346 + 0.935889i
\(607\) −3.56339e8 + 8.13321e7i −1.59330 + 0.363660i −0.924921 0.380160i \(-0.875869\pi\)
−0.668380 + 0.743820i \(0.733012\pi\)
\(608\) −5.56064e8 −2.47408
\(609\) 3.00754e8i 1.33156i
\(610\) −1.34298e8 + 3.06527e7i −0.591672 + 0.135045i
\(611\) −4.45718e7 + 5.58912e7i −0.195405 + 0.245030i
\(612\) −2.96298e7 + 1.29817e8i −0.129263 + 0.566339i
\(613\) −1.95238e8 + 2.44820e8i −0.847583 + 1.06284i 0.149668 + 0.988736i \(0.452180\pi\)
−0.997251 + 0.0740992i \(0.976392\pi\)
\(614\) 1.66408e8 3.45550e8i 0.718902 1.49281i
\(615\) −5.16376e7 2.26239e8i −0.221994 0.972618i
\(616\) 4.84563e7 + 2.33353e7i 0.207304 + 0.0998325i
\(617\) −4.32076e7 5.41807e7i −0.183952 0.230669i 0.681302 0.732003i \(-0.261414\pi\)
−0.865254 + 0.501334i \(0.832843\pi\)
\(618\) 3.24638e7 1.42233e8i 0.137541 0.602608i
\(619\) 2.32643e7 1.01928e8i 0.0980885 0.429754i −0.901909 0.431926i \(-0.857834\pi\)
0.999998 + 0.00217203i \(0.000691380\pi\)
\(620\) −4.99546e7 1.03732e8i −0.209604 0.435248i
\(621\) 1.65351e8 1.31863e8i 0.690451 0.550616i
\(622\) −7.51000e7 5.98903e7i −0.312082 0.248877i
\(623\) 2.57570e8 1.24039e8i 1.06520 0.512972i
\(624\) −2.94821e7 6.12203e7i −0.121340 0.251966i
\(625\) −1.39498e8 + 1.74925e8i −0.571385 + 0.716494i
\(626\) −2.05340e8 2.57488e8i −0.837048 1.04962i
\(627\) −3.12448e8 + 1.50467e8i −1.26758 + 0.610434i
\(628\) 6.57516e7 + 1.50074e7i 0.265477 + 0.0605935i
\(629\) −1.44826e8 3.30556e7i −0.581962 0.132829i
\(630\) −2.27612e8 + 1.81515e8i −0.910278 + 0.725922i
\(631\) −3.76065e7 + 7.80907e7i −0.149684 + 0.310822i −0.962306 0.271969i \(-0.912325\pi\)
0.812622 + 0.582791i \(0.198039\pi\)
\(632\) −1.72607e7 + 3.93964e6i −0.0683765 + 0.0156065i
\(633\) −8.40760e7 4.04889e7i −0.331483 0.159634i
\(634\) 9.42438e7 + 7.51569e7i 0.369815 + 0.294918i
\(635\) 6.11753e7 + 1.39629e7i 0.238921 + 0.0545322i
\(636\) 1.07428e8 + 8.56709e7i 0.417586 + 0.333013i
\(637\) −2.11581e7 9.26998e7i −0.0818575 0.358641i
\(638\) 7.70874e8 2.96839
\(639\) 2.48883e8i 0.953879i
\(640\) 1.44377e7 + 6.32558e7i 0.0550756 + 0.241302i
\(641\) 3.26319e7 2.60231e7i 0.123899 0.0988064i −0.559580 0.828776i \(-0.689037\pi\)
0.683479 + 0.729970i \(0.260466\pi\)
\(642\) −2.67215e7 + 1.28684e7i −0.100985 + 0.0486317i
\(643\) 2.76104e8 + 1.32965e8i 1.03858 + 0.500153i 0.873855 0.486187i \(-0.161613\pi\)
0.164724 + 0.986340i \(0.447327\pi\)
\(644\) 2.96755e8i 1.11107i
\(645\) 1.42194e7 + 1.52766e8i 0.0529909 + 0.569308i
\(646\) −6.68089e8 −2.47820
\(647\) −7.44597e7 + 1.54617e8i −0.274921 + 0.570880i −0.992018 0.126093i \(-0.959756\pi\)
0.717097 + 0.696973i \(0.245470\pi\)
\(648\) 953224. + 1.97939e6i 0.00350324 + 0.00727455i
\(649\) −9.30346e7 1.16662e8i −0.340338 0.426770i
\(650\) 1.24133e7 2.83327e6i 0.0452011 0.0103169i
\(651\) 1.23975e8 0.449357
\(652\) 2.61095e7i 0.0942010i
\(653\) −3.98575e7 + 9.09721e6i −0.143143 + 0.0326715i −0.293492 0.955962i \(-0.594817\pi\)
0.150349 + 0.988633i \(0.451960\pi\)
\(654\) −6.09607e7 + 7.64423e7i −0.217930 + 0.273275i
\(655\) −2.16886e7 + 9.50240e7i −0.0771805 + 0.338150i
\(656\) 3.33196e8 4.17815e8i 1.18029 1.48004i
\(657\) −9.30416e7 + 1.93203e8i −0.328081 + 0.681267i
\(658\) −8.61616e7 3.77499e8i −0.302438 1.32507i
\(659\) 3.13982e8 + 1.51206e8i 1.09711 + 0.528338i 0.892747 0.450558i \(-0.148775\pi\)
0.204358 + 0.978896i \(0.434489\pi\)
\(660\) −1.21421e8 1.52258e8i −0.422341 0.529599i
\(661\) −6.05169e7 + 2.65142e8i −0.209543 + 0.918066i 0.755329 + 0.655345i \(0.227477\pi\)
−0.964872 + 0.262721i \(0.915380\pi\)
\(662\) 1.31579e8 5.76483e8i 0.453535 1.98707i
\(663\) −3.23613e7 6.71989e7i −0.111041 0.230580i
\(664\) −4.07009e7 + 3.24579e7i −0.139027 + 0.110871i
\(665\) −5.42929e8 4.32971e8i −1.84620 1.47229i
\(666\) 1.42632e8 6.86879e7i 0.482830 0.232519i
\(667\) −1.90883e8 3.96373e8i −0.643266 1.33576i
\(668\) −1.86697e8 + 2.34110e8i −0.626336 + 0.785401i
\(669\) −4.73115e7 5.93268e7i −0.158012 0.198140i
\(670\) −1.85587e8 + 8.93739e7i −0.617054 + 0.297157i
\(671\) −1.76216e8 4.02202e7i −0.583282 0.133130i
\(672\) 3.27815e8 + 7.48215e7i 1.08024 + 0.246558i
\(673\) 1.00191e7 7.98998e6i 0.0328688 0.0262120i −0.606918 0.794765i \(-0.707594\pi\)
0.639786 + 0.768553i \(0.279023\pi\)
\(674\) 2.58525e8 5.36833e8i 0.844352 1.75331i
\(675\) 2.27808e7 5.19957e6i 0.0740727 0.0169066i
\(676\) −2.04947e8 9.86971e7i −0.663439 0.319495i
\(677\) 1.69999e8 + 1.35569e8i 0.547873 + 0.436914i 0.857902 0.513813i \(-0.171767\pi\)
−0.310029 + 0.950727i \(0.600339\pi\)
\(678\) 2.37885e8 + 5.42956e7i 0.763268 + 0.174211i
\(679\) −1.88755e8 1.50527e8i −0.602960 0.480845i
\(680\) 8.63490e6 + 3.78320e7i 0.0274619 + 0.120318i
\(681\) 1.92968e8 0.611002
\(682\) 3.17765e8i 1.00174i
\(683\) −1.08748e6 4.76457e6i −0.00341319 0.0149541i 0.973193 0.229991i \(-0.0738698\pi\)
−0.976606 + 0.215037i \(0.931013\pi\)
\(684\) 2.64638e8 2.11041e8i 0.826957 0.659477i
\(685\) 3.88974e7 1.87320e7i 0.121018 0.0582790i
\(686\) −8.21400e7 3.95565e7i −0.254438 0.122531i
\(687\) 1.30511e8i 0.402509i
\(688\) −2.54635e8 + 2.44948e8i −0.781904 + 0.752159i
\(689\) 1.40203e8 0.428647
\(690\) −1.01433e8 + 2.10628e8i −0.308768 + 0.641163i
\(691\) 1.68980e7 + 3.50890e7i 0.0512153 + 0.106350i 0.925006 0.379953i \(-0.124060\pi\)
−0.873791 + 0.486302i \(0.838345\pi\)
\(692\) −1.20219e7 1.50750e7i −0.0362789 0.0454923i
\(693\) −3.72418e8 + 8.50020e7i −1.11900 + 0.255405i
\(694\) 4.53536e8 1.35685
\(695\) 2.37321e7i 0.0706939i
\(696\) −4.16505e7 + 9.50646e6i −0.123536 + 0.0281962i
\(697\) 3.65735e8 4.58617e8i 1.08011 1.35442i
\(698\) −1.58474e8 + 6.94320e8i −0.466006 + 2.04171i
\(699\) −6.81178e7 + 8.54171e7i −0.199448 + 0.250100i
\(700\) −1.42257e7 + 2.95400e7i −0.0414744 + 0.0861224i
\(701\) 3.83165e6 + 1.67875e7i 0.0111232 + 0.0487341i 0.980185 0.198084i \(-0.0634720\pi\)
−0.969062 + 0.246818i \(0.920615\pi\)
\(702\) 1.82540e8 + 8.79066e7i 0.527651 + 0.254103i
\(703\) 2.35442e8 + 2.95235e8i 0.677669 + 0.849770i
\(704\) 8.16599e7 3.57776e8i 0.234041 1.02540i
\(705\) 3.22696e7 1.41382e8i 0.0920928 0.403485i
\(706\) 3.84506e8 + 7.98434e8i 1.09267 + 2.26895i
\(707\) −5.47243e8 + 4.36412e8i −1.54854 + 1.23492i
\(708\) −6.25085e7 4.98489e7i −0.176132 0.140461i
\(709\) −2.69780e8 + 1.29919e8i −0.756957 + 0.364531i −0.772222 0.635352i \(-0.780855\pi\)
0.0152657 + 0.999883i \(0.495141\pi\)
\(710\) 3.04259e8 + 6.31800e8i 0.850096 + 1.76524i
\(711\) 7.84030e7 9.83142e7i 0.218134 0.273532i
\(712\) 2.53192e7 + 3.17493e7i 0.0701473 + 0.0879619i
\(713\) −1.63391e8 + 7.86848e7i −0.450774 + 0.217081i
\(714\) 3.93856e8 + 8.98950e7i 1.08204 + 0.246968i
\(715\) −1.93728e8 4.42172e7i −0.529998 0.120969i
\(716\) 4.56009e8 3.63655e8i 1.24232 0.990719i
\(717\) 1.40485e8 2.91720e8i 0.381130 0.791424i
\(718\) −1.51005e8 + 3.44659e7i −0.407961 + 0.0931144i
\(719\) 1.28455e8 + 6.18608e7i 0.345593 + 0.166429i 0.598626 0.801029i \(-0.295714\pi\)
−0.253033 + 0.967458i \(0.581428\pi\)
\(720\) −1.96314e8 1.56555e8i −0.525960 0.419439i
\(721\) 3.73713e8 + 8.52976e7i 0.997086 + 0.227578i
\(722\) 9.21512e8 + 7.34881e8i 2.44844 + 1.95257i
\(723\) −3.34687e7 1.46636e8i −0.0885573 0.387995i
\(724\) −1.34886e8 −0.355428
\(725\) 4.86068e7i 0.127551i
\(726\) −4.96150e7 2.17377e8i −0.129659 0.568074i
\(727\) 3.70724e8 2.95643e8i 0.964823 0.769420i −0.00823874 0.999966i \(-0.502623\pi\)
0.973062 + 0.230546i \(0.0740511\pi\)
\(728\) 2.64920e7 1.27579e7i 0.0686628 0.0330662i
\(729\) 1.89512e8 + 9.12641e7i 0.489163 + 0.235569i
\(730\) 6.04196e8i 1.55313i
\(731\) −2.79502e8 + 2.68869e8i −0.715539 + 0.688318i
\(732\) −9.68466e7 −0.246917
\(733\) 5.50159e7 1.14242e8i 0.139694 0.290077i −0.819371 0.573263i \(-0.805677\pi\)
0.959065 + 0.283186i \(0.0913915\pi\)
\(734\) 6.36122e7 + 1.32092e8i 0.160861 + 0.334032i
\(735\) 1.20262e8 + 1.50803e8i 0.302876 + 0.379795i
\(736\) −4.79525e8 + 1.09448e8i −1.20276 + 0.274522i
\(737\) −2.70280e8 −0.675167
\(738\) 6.25130e8i 1.55525i
\(739\) 6.04048e8 1.37870e8i 1.49671 0.341615i 0.605736 0.795665i \(-0.292879\pi\)
0.890976 + 0.454051i \(0.150022\pi\)
\(740\) −1.32215e8 + 1.65793e8i −0.326277 + 0.409139i
\(741\) −4.21894e7 + 1.84844e8i −0.103693 + 0.454308i
\(742\) −4.73478e8 + 5.93722e8i −1.15901 + 1.45335i
\(743\) 1.42975e8 2.96890e8i 0.348572 0.723818i −0.650800 0.759249i \(-0.725566\pi\)
0.999372 + 0.0354316i \(0.0112806\pi\)
\(744\) 3.91870e6 + 1.71689e7i 0.00951531 + 0.0416893i
\(745\) 3.10921e8 + 1.49732e8i 0.751936 + 0.362113i
\(746\) 2.29432e7 + 2.87699e7i 0.0552634 + 0.0692981i
\(747\) 8.22772e7 3.60480e8i 0.197387 0.864807i
\(748\) 1.09542e8 4.79933e8i 0.261743 1.14677i
\(749\) −3.38113e7 7.02100e7i −0.0804668 0.167091i
\(750\) −2.80575e8 + 2.23751e8i −0.665066 + 0.530372i
\(751\) 4.25445e8 + 3.39281e8i 1.00444 + 0.801014i 0.980063 0.198689i \(-0.0636683\pi\)
0.0243772 + 0.999703i \(0.492240\pi\)
\(752\) 3.00890e8 1.44901e8i 0.707545 0.340736i
\(753\) −1.78599e8 3.70865e8i −0.418306 0.868622i
\(754\) 2.62771e8 3.29504e8i 0.613004 0.768683i
\(755\) −4.77102e8 5.98267e8i −1.10859 1.39013i
\(756\) −4.70048e8 + 2.26363e8i −1.08787 + 0.523890i
\(757\) 4.42524e8 + 1.01003e8i 1.02012 + 0.232835i 0.699696 0.714441i \(-0.253319\pi\)
0.320420 + 0.947276i \(0.396176\pi\)