Properties

Label 43.7.h.a.3.15
Level 43
Weight 7
Character 43.3
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 3.15
Character \(\chi\) \(=\) 43.3
Dual form 43.7.h.a.29.15

$q$-expansion

\(f(q)\) \(=\) \(q+(2.75934 - 5.72982i) q^{2} +(42.1286 + 3.15710i) q^{3} +(14.6864 + 18.4162i) q^{4} +(13.8848 - 45.0135i) q^{5} +(134.337 - 232.678i) q^{6} +(-37.7866 + 21.8161i) q^{7} +(542.857 - 123.904i) q^{8} +(1043.99 + 157.357i) q^{9} +O(q^{10})\) \(q+(2.75934 - 5.72982i) q^{2} +(42.1286 + 3.15710i) q^{3} +(14.6864 + 18.4162i) q^{4} +(13.8848 - 45.0135i) q^{5} +(134.337 - 232.678i) q^{6} +(-37.7866 + 21.8161i) q^{7} +(542.857 - 123.904i) q^{8} +(1043.99 + 157.357i) q^{9} +(-219.606 - 203.765i) q^{10} +(-883.355 + 1107.69i) q^{11} +(560.577 + 822.215i) q^{12} +(490.092 - 454.739i) q^{13} +(20.7364 + 276.709i) q^{14} +(727.060 - 1852.52i) q^{15} +(452.523 - 1982.63i) q^{16} +(-547.203 + 168.790i) q^{17} +(3782.35 - 5547.69i) q^{18} +(-898.477 - 5961.01i) q^{19} +(1032.90 - 405.382i) q^{20} +(-1660.77 + 799.786i) q^{21} +(3909.41 + 8117.96i) q^{22} +(-6644.37 - 16929.6i) q^{23} +(23261.0 - 3506.03i) q^{24} +(11076.6 + 7551.87i) q^{25} +(-1253.25 - 4062.92i) q^{26} +(13459.5 + 3072.04i) q^{27} +(-956.721 - 375.485i) q^{28} +(-35612.8 + 2668.81i) q^{29} +(-8608.40 - 9277.65i) q^{30} +(-22638.9 + 15434.9i) q^{31} +(17750.2 + 14155.3i) q^{32} +(-40711.6 + 43876.7i) q^{33} +(-542.782 + 3601.13i) q^{34} +(457.359 + 2003.82i) q^{35} +(12434.6 + 21537.4i) q^{36} +(11931.5 + 6888.68i) q^{37} +(-36634.7 - 11300.3i) q^{38} +(22082.6 - 17610.3i) q^{39} +(1960.14 - 26156.3i) q^{40} +(29423.0 + 14169.3i) q^{41} +11722.8i q^{42} +(-26170.3 + 75076.5i) q^{43} -33372.8 q^{44} +(21578.8 - 44808.9i) q^{45} +(-115337. - 8643.35i) q^{46} +(-30817.4 - 38643.7i) q^{47} +(25323.5 - 82096.8i) q^{48} +(-57872.6 + 100238. i) q^{49} +(73834.8 - 42628.5i) q^{50} +(-23585.8 + 5383.30i) q^{51} +(15572.3 + 2347.14i) q^{52} +(-28175.6 - 26143.2i) q^{53} +(54741.5 - 68643.6i) q^{54} +(37595.9 + 55143.0i) q^{55} +(-17809.7 + 16524.9i) q^{56} +(-19032.1 - 253965. i) q^{57} +(-82975.9 + 211419. i) q^{58} +(-20924.5 + 91676.4i) q^{59} +(44794.3 - 13817.2i) q^{60} +(42606.3 - 62492.0i) q^{61} +(25971.1 + 172307. i) q^{62} +(-42881.9 + 16829.9i) q^{63} +(247348. - 119117. i) q^{64} +(-13664.6 - 28374.8i) q^{65} +(139069. + 354341. i) q^{66} +(202348. - 30499.1i) q^{67} +(-11144.9 - 7598.49i) q^{68} +(-226469. - 734196. i) q^{69} +(12743.5 + 2908.63i) q^{70} +(86911.6 + 34110.3i) q^{71} +(586237. - 43932.4i) q^{72} +(-127237. - 137129. i) q^{73} +(72394.1 - 49357.4i) q^{74} +(442798. + 353119. i) q^{75} +(96583.7 - 104092. i) q^{76} +(9213.46 - 61127.3i) q^{77} +(-39970.4 - 175122. i) q^{78} +(276908. + 479618. i) q^{79} +(-82962.0 - 47898.1i) q^{80} +(-178143. - 54949.9i) q^{81} +(162376. - 129490. i) q^{82} +(60608.7 - 808767. i) q^{83} +(-39119.8 - 18839.1i) q^{84} +26975.2i q^{85} +(357962. + 357112. i) q^{86} -1.50874e6 q^{87} +(-342289. + 710770. i) q^{88} +(-1.30329e6 - 97668.3i) q^{89} +(-197204. - 247286. i) q^{90} +(-8598.29 + 27875.0i) q^{91} +(214196. - 370999. i) q^{92} +(-1.00247e6 + 578778. i) q^{93} +(-306457. + 69946.9i) q^{94} +(-280801. - 42324.0i) q^{95} +(703100. + 652381. i) q^{96} +(251789. - 315734. i) q^{97} +(414658. + 608191. i) q^{98} +(-1.09652e6 + 1.01742e6i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 252q - 14q^{2} - 11q^{3} + 1180q^{4} - 11q^{5} - 118q^{6} + 126q^{7} - 2254q^{8} - 8178q^{9} + O(q^{10}) \) \( 252q - 14q^{2} - 11q^{3} + 1180q^{4} - 11q^{5} - 118q^{6} + 126q^{7} - 2254q^{8} - 8178q^{9} + 967q^{10} + 4090q^{11} - 484q^{12} + 1527q^{13} + 7812q^{14} - 8923q^{15} - 13760q^{16} - 3655q^{17} + 5596q^{18} + 38605q^{19} + 26085q^{20} + 24873q^{21} - 25214q^{22} + 27991q^{23} - 20480q^{24} - 24146q^{25} - 34923q^{26} - 14q^{27} - 77634q^{28} - 112735q^{29} + 375072q^{30} + 290647q^{31} - 344064q^{32} - 152174q^{33} - 198311q^{34} - 182471q^{35} - 930891q^{36} + 282762q^{37} + 487342q^{38} + 857290q^{39} + 745459q^{40} + 27674q^{41} + 148802q^{43} - 1255832q^{44} - 191310q^{45} - 1344785q^{46} + 69166q^{47} - 871241q^{48} + 1786604q^{49} + 837705q^{50} - 182756q^{51} + 2906416q^{52} + 7779q^{53} + 487154q^{54} - 529592q^{55} - 2464007q^{56} - 767855q^{57} - 1523780q^{58} + 1531338q^{59} - 1858647q^{60} + 646957q^{61} - 448559q^{62} - 2007847q^{63} + 3937366q^{64} - 1473542q^{65} + 1513319q^{66} - 575523q^{67} + 2717157q^{68} + 967041q^{69} + 4624473q^{70} - 2149319q^{71} - 9986371q^{72} - 514565q^{73} - 882972q^{74} - 6655138q^{75} + 1152658q^{76} - 341803q^{77} + 6322388q^{78} - 2476742q^{79} + 10750038q^{80} + 4308941q^{81} + 5079172q^{82} + 2318609q^{83} + 5578407q^{84} + 585292q^{86} - 1990710q^{87} - 2864890q^{88} - 4561993q^{89} - 17681545q^{90} - 4648506q^{91} - 1991714q^{92} - 8868294q^{93} - 10200218q^{94} + 10091737q^{95} + 6250318q^{96} - 1676750q^{97} + 7512700q^{98} + 18452884q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{42}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.75934 5.72982i 0.344917 0.716228i −0.654282 0.756251i \(-0.727029\pi\)
0.999199 + 0.0400233i \(0.0127432\pi\)
\(3\) 42.1286 + 3.15710i 1.56032 + 0.116930i 0.826704 0.562637i \(-0.190213\pi\)
0.733614 + 0.679566i \(0.237832\pi\)
\(4\) 14.6864 + 18.4162i 0.229475 + 0.287753i
\(5\) 13.8848 45.0135i 0.111079 0.360108i −0.882917 0.469529i \(-0.844424\pi\)
0.993995 + 0.109421i \(0.0348998\pi\)
\(6\) 134.337 232.678i 0.621929 1.07721i
\(7\) −37.7866 + 21.8161i −0.110165 + 0.0636038i −0.554070 0.832470i \(-0.686926\pi\)
0.443905 + 0.896074i \(0.353593\pi\)
\(8\) 542.857 123.904i 1.06027 0.241999i
\(9\) 1043.99 + 157.357i 1.43209 + 0.215853i
\(10\) −219.606 203.765i −0.219606 0.203765i
\(11\) −883.355 + 1107.69i −0.663678 + 0.832226i −0.993738 0.111734i \(-0.964359\pi\)
0.330060 + 0.943960i \(0.392931\pi\)
\(12\) 560.577 + 822.215i 0.324408 + 0.475819i
\(13\) 490.092 454.739i 0.223073 0.206982i −0.560717 0.828008i \(-0.689474\pi\)
0.783790 + 0.621026i \(0.213284\pi\)
\(14\) 20.7364 + 276.709i 0.00755701 + 0.100841i
\(15\) 727.060 1852.52i 0.215425 0.548895i
\(16\) 452.523 1982.63i 0.110479 0.484041i
\(17\) −547.203 + 168.790i −0.111379 + 0.0343558i −0.349944 0.936771i \(-0.613799\pi\)
0.238565 + 0.971127i \(0.423323\pi\)
\(18\) 3782.35 5547.69i 0.648552 0.951251i
\(19\) −898.477 5961.01i −0.130992 0.869078i −0.953732 0.300659i \(-0.902793\pi\)
0.822739 0.568419i \(-0.192445\pi\)
\(20\) 1032.90 405.382i 0.129112 0.0506727i
\(21\) −1660.77 + 799.786i −0.179330 + 0.0863607i
\(22\) 3909.41 + 8117.96i 0.367149 + 0.762393i
\(23\) −6644.37 16929.6i −0.546097 1.39143i −0.891518 0.452986i \(-0.850359\pi\)
0.345420 0.938448i \(-0.387736\pi\)
\(24\) 23261.0 3506.03i 1.68265 0.253619i
\(25\) 11076.6 + 7551.87i 0.708899 + 0.483319i
\(26\) −1253.25 4062.92i −0.0713043 0.231163i
\(27\) 13459.5 + 3072.04i 0.683812 + 0.156076i
\(28\) −956.721 375.485i −0.0435824 0.0171048i
\(29\) −35612.8 + 2668.81i −1.46020 + 0.109427i −0.781002 0.624528i \(-0.785291\pi\)
−0.679198 + 0.733955i \(0.737672\pi\)
\(30\) −8608.40 9277.65i −0.318830 0.343617i
\(31\) −22638.9 + 15434.9i −0.759923 + 0.518107i −0.880182 0.474636i \(-0.842580\pi\)
0.120259 + 0.992743i \(0.461627\pi\)
\(32\) 17750.2 + 14155.3i 0.541692 + 0.431985i
\(33\) −40711.6 + 43876.7i −1.13286 + 1.22093i
\(34\) −542.782 + 3601.13i −0.0138099 + 0.0916224i
\(35\) 457.359 + 2003.82i 0.0106673 + 0.0467364i
\(36\) 12434.6 + 21537.4i 0.266517 + 0.461621i
\(37\) 11931.5 + 6888.68i 0.235555 + 0.135998i 0.613132 0.789981i \(-0.289909\pi\)
−0.377577 + 0.925978i \(0.623243\pi\)
\(38\) −36634.7 11300.3i −0.667640 0.205940i
\(39\) 22082.6 17610.3i 0.372268 0.296874i
\(40\) 1960.14 26156.3i 0.0306272 0.408692i
\(41\) 29423.0 + 14169.3i 0.426908 + 0.205588i 0.634985 0.772524i \(-0.281006\pi\)
−0.208077 + 0.978112i \(0.566720\pi\)
\(42\) 11722.8i 0.158228i
\(43\) −26170.3 + 75076.5i −0.329157 + 0.944275i
\(44\) −33372.8 −0.391773
\(45\) 21578.8 44808.9i 0.236805 0.491730i
\(46\) −115337. 8643.35i −1.18494 0.0887991i
\(47\) −30817.4 38643.7i −0.296826 0.372208i 0.610946 0.791672i \(-0.290789\pi\)
−0.907772 + 0.419464i \(0.862218\pi\)
\(48\) 25323.5 82096.8i 0.228981 0.742340i
\(49\) −57872.6 + 100238.i −0.491909 + 0.852012i
\(50\) 73834.8 42628.5i 0.590678 0.341028i
\(51\) −23585.8 + 5383.30i −0.177803 + 0.0405825i
\(52\) 15572.3 + 2347.14i 0.110750 + 0.0166928i
\(53\) −28175.6 26143.2i −0.189254 0.175602i 0.579855 0.814720i \(-0.303109\pi\)
−0.769109 + 0.639117i \(0.779300\pi\)
\(54\) 54741.5 68643.6i 0.347644 0.435932i
\(55\) 37595.9 + 55143.0i 0.225971 + 0.331438i
\(56\) −17809.7 + 16524.9i −0.101412 + 0.0940970i
\(57\) −19032.1 253965.i −0.102769 1.37136i
\(58\) −82975.9 + 211419.i −0.425273 + 1.08358i
\(59\) −20924.5 + 91676.4i −0.101883 + 0.446377i 0.898096 + 0.439800i \(0.144951\pi\)
−0.999978 + 0.00657682i \(0.997907\pi\)
\(60\) 44794.3 13817.2i 0.207381 0.0639686i
\(61\) 42606.3 62492.0i 0.187709 0.275318i −0.720836 0.693106i \(-0.756242\pi\)
0.908545 + 0.417787i \(0.137194\pi\)
\(62\) 25971.1 + 172307.i 0.108972 + 0.722982i
\(63\) −42881.9 + 16829.9i −0.171495 + 0.0673069i
\(64\) 247348. 119117.i 0.943559 0.454394i
\(65\) −13664.6 28374.8i −0.0497572 0.103322i
\(66\) 139069. + 354341.i 0.483723 + 1.23251i
\(67\) 202348. 30499.1i 0.672783 0.101406i 0.196239 0.980556i \(-0.437127\pi\)
0.476544 + 0.879150i \(0.341889\pi\)
\(68\) −11144.9 7598.49i −0.0354447 0.0241658i
\(69\) −226469. 734196.i −0.689386 2.23493i
\(70\) 12743.5 + 2908.63i 0.0371532 + 0.00847997i
\(71\) 86911.6 + 34110.3i 0.242830 + 0.0953038i 0.483635 0.875270i \(-0.339316\pi\)
−0.240805 + 0.970574i \(0.577411\pi\)
\(72\) 586237. 43932.4i 1.57064 0.117703i
\(73\) −127237. 137129.i −0.327074 0.352502i 0.548011 0.836471i \(-0.315385\pi\)
−0.875085 + 0.483969i \(0.839195\pi\)
\(74\) 72394.1 49357.4i 0.178652 0.121803i
\(75\) 442798. + 353119.i 1.04959 + 0.837023i
\(76\) 96583.7 104092.i 0.220020 0.237126i
\(77\) 9213.46 61127.3i 0.0201814 0.133895i
\(78\) −39970.4 175122.i −0.0842276 0.369025i
\(79\) 276908. + 479618.i 0.561635 + 0.972780i 0.997354 + 0.0726972i \(0.0231607\pi\)
−0.435719 + 0.900083i \(0.643506\pi\)
\(80\) −82962.0 47898.1i −0.162035 0.0935511i
\(81\) −178143. 54949.9i −0.335208 0.103398i
\(82\) 162376. 129490.i 0.294496 0.234853i
\(83\) 60608.7 808767.i 0.105999 1.41446i −0.650026 0.759912i \(-0.725242\pi\)
0.756025 0.654543i \(-0.227139\pi\)
\(84\) −39119.8 18839.1i −0.0660023 0.0317851i
\(85\) 26975.2i 0.0439246i
\(86\) 357962. + 357112.i 0.562784 + 0.561448i
\(87\) −1.50874e6 −2.29117
\(88\) −342289. + 710770.i −0.502279 + 1.04299i
\(89\) −1.30329e6 97668.3i −1.84872 0.138543i −0.896325 0.443397i \(-0.853773\pi\)
−0.952399 + 0.304854i \(0.901392\pi\)
\(90\) −197204. 247286.i −0.270513 0.339212i
\(91\) −8598.29 + 27875.0i −0.0114101 + 0.0369905i
\(92\) 214196. 370999.i 0.275073 0.476441i
\(93\) −1.00247e6 + 578778.i −1.24630 + 0.719554i
\(94\) −306457. + 69946.9i −0.368966 + 0.0842141i
\(95\) −280801. 42324.0i −0.327513 0.0493646i
\(96\) 703100. + 652381.i 0.794700 + 0.737374i
\(97\) 251789. 315734.i 0.275881 0.345944i −0.624517 0.781011i \(-0.714704\pi\)
0.900398 + 0.435067i \(0.143275\pi\)
\(98\) 414658. + 608191.i 0.440566 + 0.646192i
\(99\) −1.09652e6 + 1.01742e6i −1.13008 + 1.04856i
\(100\) 23598.3 + 314898.i 0.0235983 + 0.314898i
\(101\) −56881.7 + 144932.i −0.0552088 + 0.140670i −0.955817 0.293962i \(-0.905026\pi\)
0.900608 + 0.434632i \(0.143121\pi\)
\(102\) −34235.8 + 149997.i −0.0322611 + 0.141345i
\(103\) −153990. + 47499.6i −0.140923 + 0.0434689i −0.364414 0.931237i \(-0.618731\pi\)
0.223491 + 0.974706i \(0.428255\pi\)
\(104\) 209706. 307583.i 0.186428 0.273440i
\(105\) 12941.6 + 85862.1i 0.0111795 + 0.0741709i
\(106\) −227542. + 89303.5i −0.191048 + 0.0749809i
\(107\) 1.66116e6 799974.i 1.35600 0.653017i 0.392262 0.919853i \(-0.371693\pi\)
0.963742 + 0.266836i \(0.0859783\pi\)
\(108\) 141096. + 292990.i 0.112007 + 0.232585i
\(109\) −412292. 1.05050e6i −0.318365 0.811182i −0.997050 0.0767520i \(-0.975545\pi\)
0.678685 0.734430i \(-0.262550\pi\)
\(110\) 419699. 63259.5i 0.315326 0.0475278i
\(111\) 480911. + 327880.i 0.351638 + 0.239743i
\(112\) 26154.0 + 84789.2i 0.0186159 + 0.0603513i
\(113\) 2.39898e6 + 547551.i 1.66261 + 0.379480i 0.947557 0.319588i \(-0.103544\pi\)
0.715055 + 0.699068i \(0.246402\pi\)
\(114\) −1.50769e6 591726.i −1.01765 0.399398i
\(115\) −854315. + 64022.1i −0.561726 + 0.0420956i
\(116\) −572175. 616658.i −0.366568 0.395066i
\(117\) 583209. 397625.i 0.364139 0.248266i
\(118\) 467552. + 372860.i 0.284566 + 0.226934i
\(119\) 16994.6 18315.9i 0.0100849 0.0108689i
\(120\) 165156. 1.09574e6i 0.0955765 0.634109i
\(121\) −52456.6 229827.i −0.0296104 0.129732i
\(122\) −240503. 416563.i −0.132447 0.229404i
\(123\) 1.19481e6 + 689826.i 0.642074 + 0.370701i
\(124\) −616737. 190238.i −0.323471 0.0997775i
\(125\) 1.06919e6 852649.i 0.547424 0.436556i
\(126\) −21893.2 + 292145.i −0.0109446 + 0.146045i
\(127\) 2.02848e6 + 976866.i 0.990285 + 0.476896i 0.857631 0.514266i \(-0.171936\pi\)
0.132655 + 0.991162i \(0.457650\pi\)
\(128\) 292934.i 0.139682i
\(129\) −1.33954e6 + 3.08024e6i −0.624004 + 1.43488i
\(130\) −200287. −0.0911640
\(131\) 555819. 1.15417e6i 0.247240 0.513400i −0.740006 0.672600i \(-0.765177\pi\)
0.987246 + 0.159201i \(0.0508916\pi\)
\(132\) −1.40595e6 105361.i −0.611291 0.0458099i
\(133\) 163996. + 205645.i 0.0697075 + 0.0874105i
\(134\) 383593. 1.24358e6i 0.159425 0.516843i
\(135\) 325166. 563204.i 0.132161 0.228910i
\(136\) −276140. + 159429.i −0.109777 + 0.0633799i
\(137\) 2.73293e6 623773.i 1.06284 0.242586i 0.344861 0.938654i \(-0.387926\pi\)
0.717976 + 0.696068i \(0.245069\pi\)
\(138\) −4.83172e6 728264.i −1.83850 0.277110i
\(139\) 903863. + 838663.i 0.336557 + 0.312279i 0.830287 0.557336i \(-0.188176\pi\)
−0.493730 + 0.869615i \(0.664367\pi\)
\(140\) −30185.8 + 37851.8i −0.0110007 + 0.0137944i
\(141\) −1.17629e6 1.72530e6i −0.419621 0.615470i
\(142\) 435264. 403866.i 0.152015 0.141050i
\(143\) 70785.6 + 944568.i 0.0242068 + 0.323017i
\(144\) 784411. 1.99865e6i 0.262698 0.669343i
\(145\) −374345. + 1.64011e6i −0.122792 + 0.537985i
\(146\) −1.13682e6 + 350661.i −0.365285 + 0.112675i
\(147\) −2.75455e6 + 4.04019e6i −0.867160 + 1.27189i
\(148\) 48368.5 + 320904.i 0.0149203 + 0.0989897i
\(149\) 4.63052e6 1.81734e6i 1.39982 0.549387i 0.459039 0.888416i \(-0.348194\pi\)
0.940776 + 0.339029i \(0.110099\pi\)
\(150\) 3.24514e6 1.56278e6i 0.961522 0.463045i
\(151\) −2.80296e6 5.82040e6i −0.814115 1.69053i −0.718946 0.695066i \(-0.755375\pi\)
−0.0951693 0.995461i \(-0.530339\pi\)
\(152\) −1.22634e6 3.12465e6i −0.349204 0.889756i
\(153\) −597837. + 90109.4i −0.166920 + 0.0251591i
\(154\) −324826. 221462.i −0.0889382 0.0606370i
\(155\) 380443. + 1.23337e6i 0.102163 + 0.331205i
\(156\) 648628. + 148045.i 0.170853 + 0.0389960i
\(157\) 4.62374e6 + 1.81469e6i 1.19480 + 0.468924i 0.877581 0.479429i \(-0.159156\pi\)
0.317218 + 0.948353i \(0.397251\pi\)
\(158\) 3.51221e6 263204.i 0.890449 0.0667299i
\(159\) −1.10446e6 1.19033e6i −0.274764 0.296125i
\(160\) 883637. 602453.i 0.215732 0.147083i
\(161\) 620406. + 494757.i 0.148661 + 0.118554i
\(162\) −806411. + 869104.i −0.189676 + 0.204422i
\(163\) −96772.7 + 642045.i −0.0223455 + 0.148253i −0.997221 0.0744965i \(-0.976265\pi\)
0.974876 + 0.222749i \(0.0715031\pi\)
\(164\) 171173. + 749956.i 0.0388064 + 0.170022i
\(165\) 1.40977e6 + 2.44179e6i 0.313831 + 0.543572i
\(166\) −4.46685e6 2.57894e6i −0.976511 0.563789i
\(167\) 7.93650e6 + 2.44809e6i 1.70404 + 0.525627i 0.985473 0.169832i \(-0.0543224\pi\)
0.718566 + 0.695458i \(0.244799\pi\)
\(168\) −802466. + 639946.i −0.169238 + 0.134963i
\(169\) −327305. + 4.36758e6i −0.0678098 + 0.904859i
\(170\) 154563. + 74433.6i 0.0314600 + 0.0151503i
\(171\) 6.36463e6i 1.27287i
\(172\) −1.76697e6 + 620648.i −0.347252 + 0.121972i
\(173\) −3.09090e6 −0.596962 −0.298481 0.954416i \(-0.596480\pi\)
−0.298481 + 0.954416i \(0.596480\pi\)
\(174\) −4.16313e6 + 8.64483e6i −0.790264 + 1.64100i
\(175\) −583298. 43712.1i −0.108837 0.00815620i
\(176\) 1.79641e6 + 2.25262e6i 0.329509 + 0.413191i
\(177\) −1.17095e6 + 3.79614e6i −0.211164 + 0.684577i
\(178\) −4.15585e6 + 7.19814e6i −0.736885 + 1.27632i
\(179\) −7.11774e6 + 4.10943e6i −1.24103 + 0.716510i −0.969304 0.245864i \(-0.920928\pi\)
−0.271727 + 0.962374i \(0.587595\pi\)
\(180\) 1.14213e6 260683.i 0.195838 0.0446987i
\(181\) −8.31899e6 1.25389e6i −1.40293 0.211457i −0.596415 0.802676i \(-0.703409\pi\)
−0.806511 + 0.591219i \(0.798647\pi\)
\(182\) 135993. + 126183.i 0.0225581 + 0.0209309i
\(183\) 1.99224e6 2.49819e6i 0.325078 0.407635i
\(184\) −5.70458e6 8.36708e6i −0.915736 1.34314i
\(185\) 475751. 441433.i 0.0751389 0.0697187i
\(186\) 550135. + 7.34104e6i 0.0854930 + 1.14082i
\(187\) 296408. 755235.i 0.0453278 0.115493i
\(188\) 259074. 1.13508e6i 0.0389897 0.170825i
\(189\) −575608. + 177552.i −0.0852592 + 0.0262990i
\(190\) −1.01733e6 + 1.49215e6i −0.148321 + 0.217547i
\(191\) −1.53807e6 1.02045e7i −0.220738 1.46450i −0.774895 0.632090i \(-0.782197\pi\)
0.554157 0.832412i \(-0.313041\pi\)
\(192\) 1.07965e7 4.23732e6i 1.52539 0.598670i
\(193\) −1.02938e7 + 4.95723e6i −1.43187 + 0.689552i −0.979344 0.202199i \(-0.935191\pi\)
−0.452526 + 0.891751i \(0.649477\pi\)
\(194\) −1.11433e6 2.31392e6i −0.152619 0.316916i
\(195\) −486087. 1.23853e6i −0.0655556 0.167033i
\(196\) −2.69595e6 + 406349.i −0.358050 + 0.0539674i
\(197\) 2.16178e6 + 1.47388e6i 0.282757 + 0.192780i 0.696391 0.717663i \(-0.254788\pi\)
−0.413634 + 0.910443i \(0.635741\pi\)
\(198\) 2.80398e6 + 9.09027e6i 0.361226 + 1.17107i
\(199\) −7.88326e6 1.79930e6i −1.00034 0.228321i −0.309164 0.951009i \(-0.600049\pi\)
−0.691174 + 0.722688i \(0.742906\pi\)
\(200\) 6.94869e6 + 2.72716e6i 0.868587 + 0.340895i
\(201\) 8.62094e6 646050.i 1.06161 0.0795569i
\(202\) 673480. + 725839.i 0.0817092 + 0.0880615i
\(203\) 1.28746e6 877779.i 0.153903 0.104929i
\(204\) −445531. 355299.i −0.0524793 0.0418508i
\(205\) 1.04634e6 1.12769e6i 0.121454 0.130897i
\(206\) −152746. + 1.01340e6i −0.0174730 + 0.115926i
\(207\) −4.27269e6 1.87199e7i −0.481716 2.11053i
\(208\) −679803. 1.17745e6i −0.0755428 0.130844i
\(209\) 7.39664e6 + 4.27045e6i 0.810206 + 0.467773i
\(210\) 527685. + 162769.i 0.0569792 + 0.0175758i
\(211\) 3.99480e6 3.18574e6i 0.425253 0.339128i −0.387363 0.921927i \(-0.626614\pi\)
0.812616 + 0.582799i \(0.198043\pi\)
\(212\) 67658.3 902838.i 0.00710090 0.0947550i
\(213\) 3.55377e6 + 1.71141e6i 0.367748 + 0.177098i
\(214\) 1.17256e7i 1.19644i
\(215\) 3.01609e6 + 2.22044e6i 0.303479 + 0.223421i
\(216\) 7.68721e6 0.762795
\(217\) 518717. 1.07713e6i 0.0507634 0.105411i
\(218\) −7.15685e6 536332.i −0.690800 0.0517683i
\(219\) −4.92740e6 6.17876e6i −0.469121 0.588259i
\(220\) −463376. + 1.50223e6i −0.0435176 + 0.141081i
\(221\) −191425. + 331558.i −0.0177346 + 0.0307172i
\(222\) 3.20569e6 1.85080e6i 0.292996 0.169161i
\(223\) 9.21801e6 2.10395e6i 0.831232 0.189723i 0.214328 0.976762i \(-0.431244\pi\)
0.616904 + 0.787038i \(0.288387\pi\)
\(224\) −979532. 147641.i −0.0871514 0.0131360i
\(225\) 1.03755e7 + 9.62707e6i 0.910882 + 0.845175i
\(226\) 9.75696e6 1.22348e7i 0.845258 1.05992i
\(227\) −5.53936e6 8.12474e6i −0.473567 0.694596i 0.512919 0.858437i \(-0.328564\pi\)
−0.986487 + 0.163841i \(0.947612\pi\)
\(228\) 4.39757e6 4.08035e6i 0.371029 0.344265i
\(229\) 1.42461e6 + 1.90101e7i 0.118629 + 1.58299i 0.665904 + 0.746038i \(0.268046\pi\)
−0.547275 + 0.836953i \(0.684335\pi\)
\(230\) −1.99051e6 + 5.07173e6i −0.163599 + 0.416843i
\(231\) 581135. 2.54612e6i 0.0471456 0.206558i
\(232\) −1.90020e7 + 5.86134e6i −1.52172 + 0.469389i
\(233\) −710831. + 1.04260e6i −0.0561951 + 0.0824231i −0.853308 0.521407i \(-0.825407\pi\)
0.797113 + 0.603830i \(0.206360\pi\)
\(234\) −669052. 4.43887e6i −0.0522170 0.346437i
\(235\) −2.16738e6 + 850635.i −0.167006 + 0.0655451i
\(236\) −1.99564e6 + 961049.i −0.151826 + 0.0731155i
\(237\) 1.01515e7 + 2.10799e7i 0.762582 + 1.58352i
\(238\) −58052.7 147916.i −0.00430617 0.0109719i
\(239\) 7.08254e6 1.06752e6i 0.518794 0.0781957i 0.115575 0.993299i \(-0.463129\pi\)
0.403220 + 0.915103i \(0.367891\pi\)
\(240\) −3.34385e6 2.27980e6i −0.241888 0.164916i
\(241\) 6.97469e6 + 2.26114e7i 0.498280 + 1.61539i 0.759779 + 0.650181i \(0.225307\pi\)
−0.261499 + 0.965204i \(0.584217\pi\)
\(242\) −1.46162e6 333604.i −0.103131 0.0235389i
\(243\) −1.67000e7 6.55428e6i −1.16385 0.456779i
\(244\) 1.77660e6 133138.i 0.122298 0.00916499i
\(245\) 3.70853e6 + 3.99684e6i 0.252176 + 0.271781i
\(246\) 7.24947e6 4.94261e6i 0.486969 0.332010i
\(247\) −3.15104e6 2.51287e6i −0.209104 0.166755i
\(248\) −1.03772e7 + 1.11840e7i −0.680341 + 0.733233i
\(249\) 5.10672e6 3.38809e7i 0.330784 2.19461i
\(250\) −1.93528e6 8.47900e6i −0.123858 0.542656i
\(251\) 4.44517e6 + 7.69926e6i 0.281104 + 0.486886i 0.971657 0.236395i \(-0.0759661\pi\)
−0.690553 + 0.723282i \(0.742633\pi\)
\(252\) −939725. 542550.i −0.0587218 0.0339030i
\(253\) 2.46221e7 + 7.59491e6i 1.52042 + 0.468987i
\(254\) 1.11945e7 8.92735e6i 0.683133 0.544780i
\(255\) −85163.3 + 1.13643e6i −0.00513608 + 0.0685363i
\(256\) 1.41518e7 + 6.81517e6i 0.843515 + 0.406216i
\(257\) 2.36066e7i 1.39070i −0.718670 0.695351i \(-0.755249\pi\)
0.718670 0.695351i \(-0.244751\pi\)
\(258\) 1.39530e7 + 1.61748e7i 0.812472 + 0.941844i
\(259\) −601137. −0.0345999
\(260\) 321872. 668373.i 0.0183131 0.0380276i
\(261\) −3.75995e7 2.81769e6i −2.11476 0.158479i
\(262\) −5.07949e6 6.36948e6i −0.282434 0.354161i
\(263\) 7.95715e6 2.57965e7i 0.437412 1.41805i −0.421919 0.906634i \(-0.638643\pi\)
0.859331 0.511421i \(-0.170881\pi\)
\(264\) −1.66641e7 + 2.88631e7i −0.905671 + 1.56867i
\(265\) −1.56801e6 + 905290.i −0.0842579 + 0.0486463i
\(266\) 1.63083e6 372227.i 0.0866491 0.0197771i
\(267\) −5.45976e7 8.22926e6i −2.86840 0.432341i
\(268\) 3.53345e6 + 3.27856e6i 0.183567 + 0.170325i
\(269\) −1.96215e7 + 2.46045e7i −1.00803 + 1.26403i −0.0437815 + 0.999041i \(0.513941\pi\)
−0.964251 + 0.264991i \(0.914631\pi\)
\(270\) −2.32981e6 3.41721e6i −0.118367 0.173612i
\(271\) 1.57122e7 1.45788e7i 0.789459 0.732511i −0.178413 0.983956i \(-0.557096\pi\)
0.967872 + 0.251445i \(0.0809057\pi\)
\(272\) 87026.2 + 1.16128e6i 0.00432458 + 0.0577074i
\(273\) −450238. + 1.14719e6i −0.0221286 + 0.0563828i
\(274\) 3.96696e6 1.73804e7i 0.192844 0.844905i
\(275\) −1.81497e7 + 5.59843e6i −0.872712 + 0.269196i
\(276\) 1.01951e7 1.49534e7i 0.484912 0.711236i
\(277\) −393973. 2.61384e6i −0.0185365 0.122982i 0.977649 0.210245i \(-0.0674260\pi\)
−0.996185 + 0.0872630i \(0.972188\pi\)
\(278\) 7.29945e6 2.86482e6i 0.339747 0.133341i
\(279\) −2.60636e7 + 1.25516e7i −1.20011 + 0.577944i
\(280\) 496562. + 1.03112e6i 0.0226203 + 0.0469716i
\(281\) 8.94104e6 + 2.27814e7i 0.402967 + 1.02674i 0.977999 + 0.208612i \(0.0668945\pi\)
−0.575032 + 0.818131i \(0.695010\pi\)
\(282\) −1.31314e7 + 1.97925e6i −0.585551 + 0.0882577i
\(283\) 2.11679e7 + 1.44320e7i 0.933937 + 0.636748i 0.931692 0.363250i \(-0.118333\pi\)
0.00224561 + 0.999997i \(0.499285\pi\)
\(284\) 648239. + 2.10154e6i 0.0282996 + 0.0917450i
\(285\) −1.16961e7 2.66957e6i −0.505252 0.115320i
\(286\) 5.60753e6 + 2.20079e6i 0.239703 + 0.0940765i
\(287\) −1.42091e6 + 106483.i −0.0601066 + 0.00450437i
\(288\) 1.63036e7 + 1.75711e7i 0.682506 + 0.735567i
\(289\) −1.96725e7 + 1.34125e7i −0.815014 + 0.555667i
\(290\) 8.36461e6 + 6.67056e6i 0.342967 + 0.273507i
\(291\) 1.16043e7 1.25065e7i 0.470913 0.507524i
\(292\) 656737. 4.35716e6i 0.0263781 0.175007i
\(293\) −4.26152e6 1.86709e7i −0.169419 0.742272i −0.986232 0.165369i \(-0.947118\pi\)
0.816813 0.576902i \(-0.195739\pi\)
\(294\) 1.55488e7 + 2.69313e7i 0.611865 + 1.05978i
\(295\) 3.83614e6 + 2.21480e6i 0.149427 + 0.0862716i
\(296\) 7.33066e6 + 2.26121e6i 0.282662 + 0.0871898i
\(297\) −1.52924e7 + 1.21953e7i −0.583721 + 0.465502i
\(298\) 2.36410e6 3.15467e7i 0.0893340 1.19208i
\(299\) −1.09549e7 5.27560e6i −0.409822 0.197360i
\(300\) 1.33407e7i 0.494100i
\(301\) −648990. 3.40782e6i −0.0237979 0.124962i
\(302\) −4.10842e7 −1.49160
\(303\) −2.85391e6 + 5.92621e6i −0.102592 + 0.213034i
\(304\) −1.22251e7 916142.i −0.435141 0.0326093i
\(305\) −2.22140e6 2.78555e6i −0.0782939 0.0981774i
\(306\) −1.13332e6 + 3.67414e6i −0.0395539 + 0.128231i
\(307\) −2.59395e7 + 4.49286e7i −0.896493 + 1.55277i −0.0645472 + 0.997915i \(0.520560\pi\)
−0.831946 + 0.554857i \(0.812773\pi\)
\(308\) 1.26105e6 728065.i 0.0431597 0.0249183i
\(309\) −6.63734e6 + 1.51493e6i −0.224967 + 0.0513472i
\(310\) 8.11674e6 + 1.22340e6i 0.272456 + 0.0410662i
\(311\) −1.56957e7 1.45635e7i −0.521794 0.484154i 0.374739 0.927130i \(-0.377732\pi\)
−0.896534 + 0.442976i \(0.853923\pi\)
\(312\) 9.80571e6 1.22960e7i 0.322861 0.404854i
\(313\) 1.19618e7 + 1.75447e7i 0.390088 + 0.572155i 0.970177 0.242399i \(-0.0779343\pi\)
−0.580088 + 0.814554i \(0.696982\pi\)
\(314\) 2.31563e7 2.14859e7i 0.747963 0.694008i
\(315\) 162165. + 2.16394e6i 0.00518831 + 0.0692332i
\(316\) −4.76596e6 + 1.21435e7i −0.151039 + 0.384841i
\(317\) −6.02432e6 + 2.63943e7i −0.189117 + 0.828575i 0.787967 + 0.615718i \(0.211134\pi\)
−0.977083 + 0.212857i \(0.931723\pi\)
\(318\) −9.86795e6 + 3.04386e6i −0.306864 + 0.0946549i
\(319\) 2.85025e7 4.18056e7i 0.878034 1.28784i
\(320\) −1.92747e6 1.27879e7i −0.0588218 0.390257i
\(321\) 7.25081e7 2.84573e7i 2.19216 0.860357i
\(322\) 4.54678e6 2.18961e6i 0.136187 0.0655843i
\(323\) 1.49781e6 + 3.11023e6i 0.0444476 + 0.0922965i
\(324\) −1.60432e6 4.08774e6i −0.0471689 0.120185i
\(325\) 8.86267e6 1.33583e6i 0.258175 0.0389136i
\(326\) 3.41178e6 + 2.32611e6i 0.0984754 + 0.0671394i
\(327\) −1.40527e7 4.55579e7i −0.401900 1.30293i
\(328\) 1.77281e7 + 4.04632e6i 0.502390 + 0.114667i
\(329\) 2.00754e6 + 787901.i 0.0563737 + 0.0221250i
\(330\) 1.78811e7 1.34000e6i 0.497567 0.0372875i
\(331\) 3.75950e7 + 4.05178e7i 1.03668 + 1.11728i 0.992986 + 0.118235i \(0.0377235\pi\)
0.0436981 + 0.999045i \(0.486086\pi\)
\(332\) 1.57845e7 1.07617e7i 0.431338 0.294081i
\(333\) 1.13725e7 + 9.06925e6i 0.307980 + 0.245606i
\(334\) 3.59266e7 3.87196e7i 0.964221 1.03918i
\(335\) 1.43670e6 9.53188e6i 0.0382148 0.253539i
\(336\) 834144. + 3.65462e6i 0.0219899 + 0.0963440i
\(337\) −1.47510e7 2.55494e7i −0.385417 0.667561i 0.606410 0.795152i \(-0.292609\pi\)
−0.991827 + 0.127591i \(0.959276\pi\)
\(338\) 2.41223e7 + 1.39270e7i 0.624697 + 0.360669i
\(339\) 9.93369e7 + 3.06414e7i 2.54983 + 0.786519i
\(340\) −496780. + 396169.i −0.0126394 + 0.0100796i
\(341\) 2.90102e6 3.87114e7i 0.0731624 0.976284i
\(342\) −3.64682e7 1.75622e7i −0.911667 0.439036i
\(343\) 1.01835e7i 0.252357i
\(344\) −4.90449e6 + 4.39984e7i −0.120481 + 1.08084i
\(345\) −3.61932e7 −0.881394
\(346\) −8.52883e6 + 1.77103e7i −0.205902 + 0.427560i
\(347\) −4.62721e7 3.46762e6i −1.10747 0.0829932i −0.491584 0.870830i \(-0.663582\pi\)
−0.615884 + 0.787837i \(0.711201\pi\)
\(348\) −2.21581e7 2.77853e7i −0.525768 0.659292i
\(349\) 1.79512e7 5.81963e7i 0.422295 1.36905i −0.455595 0.890187i \(-0.650574\pi\)
0.877891 0.478861i \(-0.158950\pi\)
\(350\) −1.85998e6 + 3.22158e6i −0.0433814 + 0.0751388i
\(351\) 7.99336e6 4.61497e6i 0.184845 0.106720i
\(352\) −3.13594e7 + 7.15758e6i −0.719018 + 0.164111i
\(353\) −5.33724e7 8.04460e6i −1.21337 0.182886i −0.488991 0.872289i \(-0.662635\pi\)
−0.724378 + 0.689403i \(0.757873\pi\)
\(354\) 1.85201e7 + 1.71842e7i 0.417479 + 0.387364i
\(355\) 2.74218e6 3.43858e6i 0.0612929 0.0768589i
\(356\) −1.73420e7 2.54361e7i −0.384371 0.563768i
\(357\) 773785. 717967.i 0.0170065 0.0157797i
\(358\) 3.90605e6 + 5.21227e7i 0.0851313 + 1.13600i
\(359\) −7.44313e6 + 1.89648e7i −0.160869 + 0.409888i −0.988468 0.151433i \(-0.951611\pi\)
0.827599 + 0.561320i \(0.189706\pi\)
\(360\) 6.16224e6 2.69986e7i 0.132078 0.578673i
\(361\) 1.02294e7 3.15535e6i 0.217435 0.0670697i
\(362\) −3.01394e7 + 4.42064e7i −0.635344 + 0.931879i
\(363\) −1.48433e6 9.84792e6i −0.0310322 0.205885i
\(364\) −639629. + 251036.i −0.0132625 + 0.00520513i
\(365\) −7.93933e6 + 3.82338e6i −0.163270 + 0.0786265i
\(366\) −8.81691e6 1.83085e7i −0.179835 0.373430i
\(367\) −6.91713e6 1.76246e7i −0.139935 0.356550i 0.843676 0.536853i \(-0.180387\pi\)
−0.983611 + 0.180304i \(0.942292\pi\)
\(368\) −3.65718e7 + 5.51232e6i −0.733843 + 0.110609i
\(369\) 2.84877e7 + 1.94226e7i 0.566994 + 0.386570i
\(370\) −1.21657e6 3.94403e6i −0.0240178 0.0778637i
\(371\) 1.63500e6 + 373179.i 0.0320182 + 0.00730795i
\(372\) −2.53817e7 9.96157e6i −0.493050 0.193508i
\(373\) −2.29379e7 + 1.71896e6i −0.442006 + 0.0331238i −0.293875 0.955844i \(-0.594945\pi\)
−0.148131 + 0.988968i \(0.547326\pi\)
\(374\) −3.50947e6 3.78231e6i −0.0670852 0.0723007i
\(375\) 4.77353e7 3.25454e7i 0.905203 0.617157i
\(376\) −2.15175e7 1.71597e7i −0.404789 0.322809i
\(377\) −1.62400e7 + 1.75025e7i −0.303082 + 0.326645i
\(378\) −570958. + 3.78806e6i −0.0105713 + 0.0701360i
\(379\) 2.75709e6 + 1.20796e7i 0.0506445 + 0.221888i 0.993917 0.110131i \(-0.0351271\pi\)
−0.943273 + 0.332020i \(0.892270\pi\)
\(380\) −3.34452e6 5.79288e6i −0.0609513 0.105571i
\(381\) 8.23731e7 + 4.75581e7i 1.48940 + 0.859904i
\(382\) −6.27138e7 1.93446e7i −1.12505 0.347033i
\(383\) −1.68190e7 + 1.34127e7i −0.299367 + 0.238738i −0.761640 0.648000i \(-0.775606\pi\)
0.462273 + 0.886738i \(0.347034\pi\)
\(384\) 924822. 1.23409e7i 0.0163329 0.217948i
\(385\) −2.62363e6 1.26347e6i −0.0459748 0.0221403i
\(386\) 7.26603e7i 1.26338i
\(387\) −3.91354e7 + 7.42613e7i −0.675207 + 1.28124i
\(388\) 9.51250e6 0.162854
\(389\) 1.35525e7 2.81420e7i 0.230234 0.478087i −0.753562 0.657377i \(-0.771666\pi\)
0.983796 + 0.179290i \(0.0573802\pi\)
\(390\) −8.43783e6 632328.i −0.142245 0.0106598i
\(391\) 6.49336e6 + 8.14242e6i 0.108627 + 0.136214i
\(392\) −1.89967e7 + 6.15857e7i −0.315369 + 1.02240i
\(393\) 2.70597e7 4.68688e7i 0.445805 0.772157i
\(394\) 1.44101e7 8.31970e6i 0.235602 0.136025i
\(395\) 2.54341e7 5.80517e6i 0.412691 0.0941941i
\(396\) −3.48410e7 5.25144e6i −0.561055 0.0845654i
\(397\) 5.48407e7 + 5.08848e7i 0.876459 + 0.813235i 0.983479 0.181022i \(-0.0579404\pi\)
−0.107020 + 0.994257i \(0.534131\pi\)
\(398\) −3.20623e7 + 4.02048e7i −0.508563 + 0.637718i
\(399\) 6.25970e6 + 9.18129e6i 0.0985450 + 0.144539i
\(400\) 1.99850e7 1.85433e7i 0.312265 0.289740i
\(401\) 1.40544e6 + 1.87543e7i 0.0217962 + 0.290850i 0.997441 + 0.0714937i \(0.0227766\pi\)
−0.975645 + 0.219356i \(0.929604\pi\)
\(402\) 2.00863e7 5.11791e7i 0.309188 0.787797i
\(403\) −4.07627e6 + 1.78593e7i −0.0622800 + 0.272866i
\(404\) −3.50449e6 + 1.08099e6i −0.0531473 + 0.0163938i
\(405\) −4.94698e6 + 7.25589e6i −0.0744689 + 0.109226i
\(406\) −1.47697e6 9.79903e6i −0.0220695 0.146422i
\(407\) −1.81703e7 + 7.13133e6i −0.269513 + 0.105776i
\(408\) −1.21367e7 + 5.84473e6i −0.178698 + 0.0860566i
\(409\) 1.46804e7 + 3.04841e7i 0.214569 + 0.445557i 0.980276 0.197632i \(-0.0633252\pi\)
−0.765707 + 0.643189i \(0.777611\pi\)
\(410\) −3.57425e6 9.10705e6i −0.0518601 0.132138i
\(411\) 1.17104e8 1.76506e7i 1.68673 0.254234i
\(412\) −3.13632e6 2.13831e6i −0.0448466 0.0305759i
\(413\) −1.20936e6 3.92063e6i −0.0171674 0.0556552i
\(414\) −1.19051e8 2.71727e7i −1.67777 0.382941i
\(415\) −3.55639e7 1.39578e7i −0.497583 0.195287i
\(416\) 1.51362e7 1.13430e6i 0.210250 0.0157561i
\(417\) 3.54307e7 + 3.81853e7i 0.488621 + 0.526608i
\(418\) 4.48787e7 3.05978e7i 0.614486 0.418949i
\(419\) −6.71254e7 5.35307e7i −0.912524 0.727714i 0.0500456 0.998747i \(-0.484063\pi\)
−0.962570 + 0.271033i \(0.912635\pi\)
\(420\) −1.39119e6 + 1.49934e6i −0.0187775 + 0.0202373i
\(421\) 634049. 4.20664e6i 0.00849721 0.0563753i −0.984180 0.177169i \(-0.943306\pi\)
0.992678 + 0.120794i \(0.0385441\pi\)
\(422\) −7.23076e6 3.16800e7i −0.0962158 0.421549i
\(423\) −2.60923e7 4.51931e7i −0.344739 0.597106i
\(424\) −1.85346e7 1.07009e7i −0.243156 0.140386i
\(425\) −7.33581e6 2.26280e6i −0.0955611 0.0294767i
\(426\) 1.96121e7 1.56401e7i 0.253685 0.202307i
\(427\) −246616. + 3.29087e6i −0.00316766 + 0.0422694i
\(428\) 3.91291e7 + 1.88436e7i 0.499078 + 0.240343i
\(429\) 4.00168e7i 0.506839i
\(430\) 2.10451e7 1.11547e7i 0.264695 0.140298i
\(431\) 6.87863e7 0.859152 0.429576 0.903031i \(-0.358663\pi\)
0.429576 + 0.903031i \(0.358663\pi\)
\(432\) 1.21814e7 2.52950e7i 0.151094 0.313750i
\(433\) 2.52754e7 + 1.89413e6i 0.311339 + 0.0233316i 0.229484 0.973313i \(-0.426296\pi\)
0.0818557 + 0.996644i \(0.473915\pi\)
\(434\) −4.74043e6 5.94431e6i −0.0579893 0.0727163i
\(435\) −2.09486e7 + 6.79138e7i −0.254500 + 0.825069i
\(436\) 1.32912e7 2.30210e7i 0.160363 0.277757i
\(437\) −9.49475e7 + 5.48180e7i −1.13773 + 0.656869i
\(438\) −4.89995e7 + 1.11838e7i −0.583136 + 0.133097i
\(439\) −1.47595e8 2.22464e7i −1.74453 0.262945i −0.802061 0.597242i \(-0.796263\pi\)
−0.942468 + 0.334297i \(0.891501\pi\)
\(440\) 2.72416e7 + 2.52765e7i 0.319797 + 0.296729i
\(441\) −7.61918e7 + 9.55415e7i −0.888367 + 1.11398i
\(442\) 1.37156e6 + 2.01171e6i 0.0158836 + 0.0232969i
\(443\) −1.02795e8 + 9.53802e7i −1.18240 + 1.09710i −0.189045 + 0.981968i \(0.560539\pi\)
−0.993350 + 0.115134i \(0.963270\pi\)
\(444\) 1.02457e6 + 1.36719e7i 0.0117056 + 0.156200i
\(445\) −2.24924e7 + 5.73097e7i −0.255244 + 0.650351i
\(446\) 1.33803e7 5.86230e7i 0.150821 0.660790i
\(447\) 2.00815e8 6.19431e7i 2.24840 0.693538i
\(448\) −6.74780e6 + 9.89720e6i −0.0750461 + 0.110072i
\(449\) 9.34597e6 + 6.20065e7i 0.103249 + 0.685012i 0.979243 + 0.202690i \(0.0649683\pi\)
−0.875994 + 0.482322i \(0.839794\pi\)
\(450\) 8.37909e7 3.28855e7i 0.919516 0.360883i
\(451\) −4.16862e7 + 2.00750e7i −0.454426 + 0.218840i
\(452\) 2.51486e7 + 5.22216e7i 0.272332 + 0.565503i
\(453\) −9.97091e7 2.54055e8i −1.07261 2.73295i
\(454\) −6.18383e7 + 9.32062e6i −0.660830 + 0.0996041i
\(455\) 1.13536e6 + 774079.i 0.0120532 + 0.00821771i
\(456\) −4.17990e7 1.35509e8i −0.440830 1.42914i
\(457\) −3.98202e7 9.08871e6i −0.417211 0.0952256i 0.00876210 0.999962i \(-0.497211\pi\)
−0.425973 + 0.904736i \(0.640068\pi\)
\(458\) 1.12856e8 + 4.42925e7i 1.17470 + 0.461035i
\(459\) −7.88360e6 + 590794.i −0.0815242 + 0.00610940i
\(460\) −1.37259e7 1.47930e7i −0.141016 0.151979i
\(461\) 1.29428e8 8.82422e7i 1.32106 0.900686i 0.322123 0.946698i \(-0.395603\pi\)
0.998941 + 0.0460116i \(0.0146511\pi\)
\(462\) −1.29853e7 1.03554e7i −0.131682 0.105013i
\(463\) 2.12060e7 2.28546e7i 0.213656 0.230267i −0.617126 0.786864i \(-0.711703\pi\)
0.830782 + 0.556598i \(0.187894\pi\)
\(464\) −1.08243e7 + 7.18148e7i −0.108355 + 0.718886i
\(465\) 1.21337e7 + 5.31611e7i 0.120679 + 0.528731i
\(466\) 4.01248e6 + 6.94981e6i 0.0396510 + 0.0686776i
\(467\) −1.14491e8 6.61014e7i −1.12414 0.649023i −0.181686 0.983357i \(-0.558155\pi\)
−0.942455 + 0.334334i \(0.891489\pi\)
\(468\) 1.58880e7 + 4.90080e6i 0.155000 + 0.0478112i
\(469\) −6.98069e6 + 5.56691e6i −0.0676674 + 0.0539630i
\(470\) −1.10655e6 + 1.47659e7i −0.0106581 + 0.142222i
\(471\) 1.89063e8 + 9.10478e7i 1.80944 + 0.871378i
\(472\) 5.23598e7i 0.497935i
\(473\) −6.00440e7 9.53078e7i −0.567396 0.900628i
\(474\) 1.48795e8 1.39719
\(475\) 3.50647e7 7.28126e7i 0.327182 0.679400i
\(476\) 586899. + 43982.0i 0.00544180 + 0.000407806i
\(477\) −2.53014e7 3.17269e7i −0.233125 0.292329i
\(478\) 1.34264e7 4.35273e7i 0.122935 0.398546i
\(479\) 6.16008e7 1.06696e8i 0.560505 0.970823i −0.436947 0.899487i \(-0.643940\pi\)
0.997452 0.0713363i \(-0.0227264\pi\)
\(480\) 3.91284e7 2.25908e7i 0.353808 0.204271i
\(481\) 8.98012e6 2.04965e6i 0.0806950 0.0184181i
\(482\) 1.48805e8 + 2.24287e7i 1.32885 + 0.200292i
\(483\) 2.45748e7 + 2.28021e7i 0.218097 + 0.202364i
\(484\) 3.46215e6 4.34140e6i 0.0305358 0.0382907i
\(485\) −1.07162e7 1.57178e7i −0.0939327 0.137774i
\(486\) −8.36359e7 + 7.76027e7i −0.728591 + 0.676033i
\(487\) −4.59679e6 6.13399e7i −0.0397986 0.531075i −0.981099 0.193506i \(-0.938014\pi\)
0.941301 0.337570i \(-0.109605\pi\)
\(488\) 1.53862e7 3.92033e7i 0.132395 0.337337i
\(489\) −6.10390e6 + 2.67429e7i −0.0522012 + 0.228709i
\(490\) 3.31343e7 1.02206e7i 0.281637 0.0868734i
\(491\) −5.65706e6 + 8.29738e6i −0.0477910 + 0.0700965i −0.849391 0.527765i \(-0.823030\pi\)
0.801600 + 0.597861i \(0.203983\pi\)
\(492\) 4.84357e6 + 3.21350e7i 0.0406697 + 0.269826i
\(493\) 1.90370e7 7.47147e6i 0.158876 0.0623541i
\(494\) −2.30931e7 + 1.11210e7i −0.191558 + 0.0922497i
\(495\) 3.05727e7 + 6.34849e7i 0.252068 + 0.523426i
\(496\) 2.03572e7 + 5.18692e7i 0.166829 + 0.425074i
\(497\) −4.02825e6 + 607161.i −0.0328131 + 0.00494578i
\(498\) −1.80040e8 1.22749e8i −1.45774 0.993873i
\(499\) −2.69174e7 8.72642e7i −0.216637 0.702319i −0.997029 0.0770288i \(-0.975457\pi\)
0.780392 0.625291i \(-0.215020\pi\)
\(500\) 3.14051e7 + 7.16801e6i 0.251241 + 0.0573441i
\(501\) 3.26625e8 + 1.28191e8i 2.59738 + 1.01940i
\(502\) 5.63811e7 4.22518e6i 0.445679 0.0333990i
\(503\) −1.14853e7 1.23782e7i −0.0902483 0.0972646i 0.686313 0.727307i \(-0.259228\pi\)
−0.776561 + 0.630042i \(0.783038\pi\)
\(504\) −2.11935e7 + 1.44495e7i −0.165543 + 0.112865i
\(505\) 5.73412e6 + 4.57281e6i 0.0445238 + 0.0355066i
\(506\) 1.11458e8 1.20123e8i 0.860320 0.927205i
\(507\) −2.75778e7 + 1.82967e8i −0.211610 + 1.40394i
\(508\) 1.18010e7 + 5.17037e7i 0.0900178 + 0.394394i
\(509\) −4.43139e7 7.67539e7i −0.336037 0.582033i 0.647647 0.761941i \(-0.275753\pi\)
−0.983683 + 0.179908i \(0.942420\pi\)
\(510\) 6.27652e6 + 3.62375e6i 0.0473161 + 0.0273179i
\(511\) 7.79949e6 + 2.40582e6i 0.0584526 + 0.0180302i
\(512\) 9.27570e7 7.39712e7i 0.691093 0.551129i
\(513\) 6.21941e6 8.29922e7i 0.0460677 0.614731i
\(514\) −1.35262e8 6.51386e7i −0.996060 0.479677i
\(515\) 7.59115e6i 0.0555758i
\(516\) −7.63995e7 + 2.05685e7i −0.556085 + 0.149711i
\(517\) 7.00280e7 0.506758
\(518\) −1.65874e6 + 3.44441e6i −0.0119341 + 0.0247814i
\(519\) −1.30215e8 9.75828e6i −0.931450 0.0698025i
\(520\) −1.09336e7 1.37104e7i −0.0777598 0.0975077i
\(521\) −5.77658e7 + 1.87272e8i −0.408468 + 1.32422i 0.484773 + 0.874640i \(0.338902\pi\)
−0.893241 + 0.449579i \(0.851574\pi\)
\(522\) −1.19895e8 + 2.07663e8i −0.842923 + 1.45999i
\(523\) 5.56755e7 3.21443e7i 0.389188 0.224698i −0.292620 0.956229i \(-0.594527\pi\)
0.681808 + 0.731531i \(0.261194\pi\)
\(524\) 2.94184e7 6.71456e6i 0.204468 0.0466685i
\(525\) −2.44355e7 3.68306e6i −0.168867 0.0254525i
\(526\) −1.25853e8 1.16774e8i −0.864779 0.802398i
\(527\) 9.78281e6 1.22673e7i 0.0668393 0.0838138i
\(528\) 6.85684e7 + 1.00571e8i 0.465824 + 0.683239i
\(529\) −1.33945e8 + 1.24283e8i −0.904813 + 0.839544i
\(530\) 860488. + 1.14824e7i 0.00577986 + 0.0771268i
\(531\) −3.62710e7 + 9.24169e7i −0.242257 + 0.617260i
\(532\) −1.37868e6 + 6.04038e6i −0.00915647 + 0.0401171i
\(533\) 2.08633e7 6.43548e6i 0.137785 0.0425010i
\(534\) −1.97805e8 + 2.90127e8i −1.29901 + 1.90530i
\(535\) −1.29447e7 8.58823e7i −0.0845337 0.560844i
\(536\) 1.06067e8 4.16284e7i 0.688791 0.270330i
\(537\) −3.12834e8 + 1.50653e8i −2.02019 + 0.972870i
\(538\) 8.68374e7 + 1.80320e8i 0.557648 + 1.15797i
\(539\) −5.99111e7 1.52651e8i −0.382597 0.974841i
\(540\) 1.51476e7 2.28313e6i 0.0961972 0.0144994i
\(541\) −9.41603e7 6.41974e7i −0.594670 0.405439i 0.228245 0.973604i \(-0.426701\pi\)
−0.822915 + 0.568165i \(0.807654\pi\)
\(542\) −4.01787e7 1.30256e8i −0.252347 0.818088i
\(543\) −3.46509e8 7.90883e7i −2.16429 0.493984i
\(544\) −1.21022e7 4.74977e6i −0.0751741 0.0295037i
\(545\) −5.30115e7 + 3.97266e6i −0.327477 + 0.0245410i
\(546\) 5.33082e6 + 5.74526e6i 0.0327504 + 0.0352965i
\(547\) 2.95944e6 2.01771e6i 0.0180820 0.0123281i −0.554245 0.832353i \(-0.686993\pi\)
0.572327 + 0.820025i \(0.306041\pi\)
\(548\) 5.16245e7 + 4.11692e7i 0.313700 + 0.250167i
\(549\) 5.43142e7 5.85368e7i 0.328244 0.353763i
\(550\) −1.80030e7 + 1.19442e8i −0.108208 + 0.717911i
\(551\) 4.79061e7 + 2.09890e8i 0.286376 + 1.25469i
\(552\) −2.13910e8 3.70503e8i −1.27179 2.20280i
\(553\) −2.09268e7 1.20821e7i −0.123745 0.0714442i
\(554\) −1.60639e7 4.95507e6i −0.0944763 0.0291421i
\(555\) 2.14364e7 1.70949e7i 0.125393 0.0999974i
\(556\) −2.17045e6 + 2.89627e7i −0.0126278 + 0.168506i
\(557\) 1.66699e8 + 8.02780e7i 0.964644 + 0.464548i 0.848797 0.528719i \(-0.177327\pi\)
0.115847 + 0.993267i \(0.463042\pi\)
\(558\) 1.83974e8i 1.05890i
\(559\) 2.13144e7 + 4.86951e7i 0.122022 + 0.278772i
\(560\) 4.17981e6 0.0238008
\(561\) 1.48716e7 3.08812e7i 0.0842304 0.174906i
\(562\) 1.55205e8 + 1.16310e7i 0.874372 + 0.0655251i
\(563\) −8.89438e7 1.11532e8i −0.498414 0.624992i 0.467457 0.884016i \(-0.345170\pi\)
−0.965871 + 0.259024i \(0.916599\pi\)
\(564\) 1.44980e7 4.70013e7i 0.0808109 0.261983i
\(565\) 5.79566e7 1.00384e8i 0.321335 0.556568i
\(566\) 1.41102e8 8.14653e7i 0.778187 0.449287i
\(567\) 7.93023e6 1.81002e6i 0.0435047 0.00992967i
\(568\) 5.14070e7 + 7.74836e6i 0.280529 + 0.0422829i
\(569\) 4.82413e7 + 4.47614e7i 0.261868 + 0.242978i 0.800169 0.599775i \(-0.204743\pi\)
−0.538301 + 0.842753i \(0.680934\pi\)
\(570\) −4.75697e7 + 5.96505e7i −0.256866 + 0.322099i
\(571\) 1.83324e8 + 2.68887e8i 0.984717 + 1.44431i 0.893805 + 0.448455i \(0.148026\pi\)
0.0909110 + 0.995859i \(0.471022\pi\)
\(572\) −1.63558e7 + 1.51759e7i −0.0873943 + 0.0810900i
\(573\) −3.25804e7 4.34755e8i −0.173178 2.31090i
\(574\) −3.31065e6 + 8.43541e6i −0.0175056 + 0.0446036i
\(575\) 5.42532e7 2.37699e8i 0.285379 1.25033i
\(576\) 2.76974e8 8.54351e7i 1.44934 0.447063i
\(577\) 1.81194e8 2.65763e8i 0.943227 1.38346i 0.0197509 0.999805i \(-0.493713\pi\)
0.923476 0.383655i \(-0.125335\pi\)
\(578\) 2.25680e7 + 1.49729e8i 0.116872 + 0.775395i
\(579\) −4.49314e8 + 1.76343e8i −2.31480 + 0.908493i
\(580\) −3.57025e7 + 1.71934e7i −0.182984 + 0.0881207i
\(581\) 1.53540e7 + 3.18828e7i 0.0782874 + 0.162566i
\(582\) −3.96397e7 1.01000e8i −0.201077 0.512335i
\(583\) 5.38477e7 8.11623e6i 0.271745 0.0409589i
\(584\) −8.60625e7 5.86764e7i −0.432091 0.294595i
\(585\) −9.80075e6 3.17733e7i −0.0489544 0.158706i
\(586\) −1.18740e8 2.71016e7i −0.590071 0.134680i
\(587\) −4.33056e7 1.69962e7i −0.214107 0.0840306i 0.255864 0.966713i \(-0.417640\pi\)
−0.469970 + 0.882682i \(0.655735\pi\)
\(588\) −1.14860e8 + 8.60753e6i −0.564982 + 0.0423396i
\(589\) 1.12348e8 + 1.21083e8i 0.549820 + 0.592565i
\(590\) 2.32756e7 1.58690e7i 0.113330 0.0772671i
\(591\) 8.64197e7 + 6.89174e7i 0.418649 + 0.333862i
\(592\) 1.90570e7 2.05386e7i 0.0918522 0.0989932i
\(593\) 175963. 1.16744e6i 0.000843832 0.00559846i −0.988405 0.151841i \(-0.951480\pi\)
0.989249 + 0.146242i \(0.0467180\pi\)
\(594\) 2.76799e7 + 1.21273e8i 0.132070 + 0.578637i
\(595\) −588493. 1.01930e6i −0.00279377 0.00483895i
\(596\) 1.01474e8 + 5.85862e7i 0.479311 + 0.276730i
\(597\) −3.26430e8 1.00690e8i −1.53415 0.473222i
\(598\) −6.04565e7 + 4.82124e7i −0.282709 + 0.225453i
\(599\) 1.18605e7 1.58268e8i 0.0551853 0.736397i −0.899146 0.437648i \(-0.855812\pi\)
0.954332 0.298749i \(-0.0965693\pi\)
\(600\) 2.84129e8 + 1.36829e8i 1.31541 + 0.633468i
\(601\) 2.30172e8i 1.06030i 0.847904 + 0.530150i \(0.177864\pi\)
−0.847904 + 0.530150i \(0.822136\pi\)
\(602\) −2.13170e7 5.68473e6i −0.0977094 0.0260567i
\(603\) 2.16050e8 0.985375
\(604\) 6.60243e7 1.37101e8i 0.299635 0.622199i
\(605\) −1.10737e7 829859.i −0.0500065 0.00374747i
\(606\) 2.60812e7 + 3.27048e7i 0.117195 + 0.146958i
\(607\) −1.60504e7 + 5.20341e7i −0.0717661 + 0.232660i −0.984349 0.176233i \(-0.943609\pi\)
0.912582 + 0.408893i \(0.134085\pi\)
\(608\) 6.84316e7 1.18527e8i 0.304471 0.527359i
\(609\) 5.70103e7 3.29149e7i 0.252407 0.145727i
\(610\) −2.20903e7 + 5.04197e6i −0.0973223 + 0.0222132i
\(611\) −3.26762e7 4.92514e6i −0.143254 0.0215921i
\(612\) −1.04396e7 9.68650e6i −0.0455437 0.0422584i
\(613\) −2.84559e8 + 3.56826e8i −1.23535 + 1.54908i −0.511166 + 0.859482i \(0.670786\pi\)
−0.724188 + 0.689602i \(0.757785\pi\)
\(614\) 1.85857e8 + 2.72602e8i 0.802922 + 1.17767i
\(615\) 4.76413e7 4.42046e7i 0.204813 0.190039i
\(616\) −2.57230e6 3.43250e7i −0.0110047 0.146848i
\(617\) 1.40298e8 3.57472e8i 0.597303 1.52190i −0.237519 0.971383i \(-0.576334\pi\)
0.834822 0.550520i \(-0.185571\pi\)
\(618\) −9.63438e6 + 4.22110e7i −0.0408186 + 0.178838i
\(619\) 1.44412e8 4.45452e7i 0.608880 0.187814i 0.0250439 0.999686i \(-0.492027\pi\)
0.583836 + 0.811872i \(0.301551\pi\)
\(620\) −1.71266e7 + 2.51201e7i −0.0718614 + 0.105401i
\(621\) −3.74214e7 2.48275e8i −0.156259 1.03671i
\(622\) −1.26756e8 + 4.97480e7i −0.526741 + 0.206730i
\(623\) 5.13778e7 2.47422e7i 0.212477 0.102323i
\(624\) −2.49218e7 5.17506e7i −0.102571 0.212991i
\(625\) 5.29923e7 + 1.35022e8i 0.217056 + 0.553051i
\(626\) 1.33535e8 2.01271e7i 0.544341 0.0820462i
\(627\) 2.98128e8 + 2.03260e8i 1.20948 + 0.824611i
\(628\) 3.44867e7 + 1.11803e8i 0.139243 + 0.451414i
\(629\) −7.69172e6 1.75559e6i −0.0309081 0.00705456i
\(630\) 1.28465e7 + 5.04187e6i 0.0513763 + 0.0201637i
\(631\) −1.50522e8 + 1.12801e7i −0.599117 + 0.0448976i −0.370837 0.928698i \(-0.620929\pi\)
−0.228280 + 0.973596i \(0.573310\pi\)
\(632\) 2.09748e8 + 2.26054e8i 0.830896 + 0.895492i
\(633\) 1.78353e8 1.21599e8i 0.703184 0.479423i
\(634\) 1.34611e8 + 1.07349e8i 0.528218 + 0.421240i
\(635\) 7.21373e7 7.77456e7i 0.281734 0.303637i
\(636\) 5.70070e6 3.78217e7i 0.0221593 0.147018i
\(637\) 1.72194e7 + 7.54430e7i 0.0666191 + 0.291877i
\(638\) −1.60890e8 2.78670e8i −0.619538 1.07307i
\(639\) 8.53676e7 + 4.92870e7i 0.327183 + 0.188899i
\(640\) −1.31860e7 4.06734e6i −0.0503005 0.0155157i
\(641\) −7.42964e7 + 5.92494e7i −0.282094 + 0.224962i −0.754307 0.656522i \(-0.772027\pi\)
0.472213 + 0.881485i \(0.343455\pi\)
\(642\) 3.70188e7 4.93982e8i 0.139900 1.86683i
\(643\) −3.16540e8 1.52438e8i −1.19068 0.573402i −0.269676 0.962951i \(-0.586916\pi\)
−0.921006 + 0.389549i \(0.872631\pi\)
\(644\) 1.86917e7i 0.0699829i
\(645\) 1.20053e8 + 1.03066e8i 0.447399 + 0.384093i
\(646\) 2.19540e7 0.0814360
\(647\) −1.43126e8 + 2.97204e8i −0.528453 + 1.09734i 0.450410 + 0.892822i \(0.351278\pi\)
−0.978862 + 0.204521i \(0.934436\pi\)
\(648\) −1.03515e8 7.75737e6i −0.380433 0.0285095i
\(649\) −8.30654e7 1.04161e8i −0.303869 0.381040i
\(650\) 1.68010e7 5.44675e7i 0.0611780 0.198334i
\(651\) 2.52534e7 4.37402e7i 0.0915328 0.158539i
\(652\) −1.32453e7 + 7.64717e6i −0.0477879 + 0.0275904i
\(653\) −4.69215e8 + 1.07095e8i −1.68513 + 0.384619i −0.954513 0.298170i \(-0.903624\pi\)
−0.730615 + 0.682790i \(0.760767\pi\)
\(654\) −2.99815e8 4.51898e7i −1.07182 0.161550i
\(655\) −4.42358e7 4.10448e7i −0.157416 0.146061i
\(656\) 4.14072e7 5.19229e7i 0.146678 0.183928i
\(657\) −1.11257e8 1.63184e8i −0.392310 0.575414i
\(658\) 1.00540e7 9.32876e6i 0.0352908 0.0327451i
\(659\) −1.76941e7 2.36111e8i −0.0618262 0.825013i −0.938797 0.344470i \(-0.888059\pi\)
0.876971 0.480543i \(-0.159560\pi\)
\(660\) −2.42641e7 + 6.18238e7i −0.0843979 + 0.215042i
\(661\) 8.31844e7 3.64455e8i 0.288030 1.26194i −0.599194 0.800604i \(-0.704512\pi\)
0.887224 0.461338i \(-0.152631\pi\)
\(662\) 3.35897e8 1.03611e8i 1.15780 0.357133i
\(663\) −9.11122e6 + 1.33637e7i −0.0312634 + 0.0458550i
\(664\) −6.73073e7 4.46555e8i −0.229910 1.52535i
\(665\) 1.15339e7 4.52671e6i 0.0392202 0.0153928i
\(666\) 8.33456e7 4.01371e7i 0.282137 0.135870i
\(667\) 2.81806e8 + 5.85177e8i 0.949672 + 1.97201i
\(668\) 7.14744e7 + 1.82114e8i 0.239785 + 0.610961i
\(669\) 3.94984e8 5.95343e7i 1.31917 0.198833i
\(670\) −5.06516e7 3.45337e7i −0.168410 0.114820i
\(671\) 3.15854e7 + 1.02397e8i 0.104549 + 0.338939i
\(672\) −4.08002e7 9.31237e6i −0.134448 0.0306869i
\(673\) −1.02093e8 4.00684e7i −0.334926 0.131449i 0.191917 0.981411i \(-0.438529\pi\)
−0.526844 + 0.849962i \(0.676625\pi\)
\(674\) −1.87096e8 + 1.40209e7i −0.611062 + 0.0457928i
\(675\) 1.25885e8 + 1.35672e8i 0.409320 + 0.441142i
\(676\) −8.52413e7 + 5.81165e7i −0.275937 + 0.188131i
\(677\) 9.93436e7 + 7.92239e7i 0.320165 + 0.255323i 0.770363 0.637606i \(-0.220075\pi\)
−0.450198 + 0.892929i \(0.648647\pi\)
\(678\) 4.49673e8 4.84633e8i 1.44281 1.55498i
\(679\) −2.62618e6 + 1.74236e7i −0.00838910 + 0.0556580i
\(680\) 3.34232e6 + 1.46437e7i 0.0106297 + 0.0465718i
\(681\) −2.07715e8 3.59772e8i −0.657697 1.13916i
\(682\) −2.13805e8 1.23440e8i −0.674007 0.389138i
\(683\) −4.58855e7 1.41538e7i −0.144017 0.0444233i 0.221909 0.975067i \(-0.428771\pi\)
−0.365926 + 0.930644i \(0.619248\pi\)
\(684\) 1.17212e8 9.34738e7i 0.366273 0.292093i
\(685\) 9.86803e6 1.31680e8i 0.0307014 0.409682i
\(686\) −5.83497e7 2.80997e7i −0.180745 0.0870422i
\(687\) 8.05367e8i 2.48384i
\(688\) 1.37006e8 + 8.58599e7i 0.420703 + 0.263648i
\(689\) −2.56970e7 −0.0785641
\(690\) −9.98693e7 + 2.07381e8i −0.304008 + 0.631279i
\(691\) 3.31654e8 + 2.48541e7i 1.00520 + 0.0753292i 0.567143 0.823619i \(-0.308049\pi\)
0.438055 + 0.898948i \(0.355668\pi\)
\(692\) −4.53943e7 5.69226e7i −0.136988 0.171778i
\(693\) 1.92376e7 6.23667e7i 0.0578031 0.187393i
\(694\) −1.47549e8 + 2.55563e8i −0.441427 + 0.764573i
\(695\) 5.03011e7 2.90414e7i 0.149838 0.0865093i
\(696\) −8.19033e8 + 1.86939e8i −2.42926 + 0.554462i
\(697\) −1.84920e7 2.78722e6i −0.0546116 0.00823138i
\(698\) −2.83921e8 2.63440e8i −0.834893 0.774668i
\(699\) −3.32379e7 + 4.16790e7i −0.0973200 + 0.122035i
\(700\) −7.76155e6 1.13841e7i −0.0226284 0.0331898i
\(701\) 6.35915e7 5.90043e7i 0.184606 0.171289i −0.582456 0.812862i \(-0.697908\pi\)
0.767062 + 0.641573i \(0.221718\pi\)
\(702\) −4.38658e6 5.85348e7i −0.0126799 0.169201i
\(703\) 3.03433e7 7.73134e7i 0.0873366 0.222530i
\(704\) −8.65518e7 + 3.79208e8i −0.248061 + 1.08683i
\(705\) −9.39944e7 + 2.89934e7i −0.268247 + 0.0827432i
\(706\) −1.93367e8 + 2.83617e8i −0.549499 + 0.805968i
\(707\) −1.01249e6 6.71744e6i −0.00286506 0.0190084i
\(708\) −8.71075e7 + 3.41872e7i −0.245446 + 0.0963305i
\(709\) −2.34488e8 + 1.12923e8i −0.657933 + 0.316844i −0.732894 0.680343i \(-0.761831\pi\)
0.0749612 + 0.997186i \(0.476117\pi\)
\(710\) −1.21359e7 2.52004e7i −0.0339075 0.0704096i
\(711\) 2.13619e8 + 5.44292e8i 0.594334 + 1.51434i
\(712\) −7.19604e8 + 1.08463e8i −1.99367 + 0.300498i
\(713\) 4.11728e8 + 2.80711e8i 1.13590 + 0.774446i
\(714\) −1.97869e6 6.41476e6i −0.00543605 0.0176232i
\(715\) 4.35012e7 + 9.92886e6i 0.119010 + 0.0271632i
\(716\) −1.80214e8 7.07289e7i −0.490964 0.192689i
\(717\) 3.01748e8 2.26129e7i 0.818628 0.0613477i
\(718\) 8.81268e7 + 9.49781e7i 0.238086 + 0.256596i
\(719\) 4.94776e7 3.37333e7i 0.133114 0.0907553i −0.494933 0.868931i \(-0.664807\pi\)
0.628046 + 0.778176i \(0.283855\pi\)
\(720\) −7.90747e7 6.30600e7i −0.211856 0.168949i
\(721\) 4.78250e6 5.15431e6i 0.0127600 0.0137520i
\(722\) 1.01468e7 6.73193e7i 0.0269597 0.178866i
\(723\) 2.22447e8 + 9.74606e8i 0.588589 + 2.57878i
\(724\) −9.90844e7 1.71619e8i −0.261090 0.452221i
\(725\) −4.14622e8 2.39382e8i −1.08802 0.628170i
\(726\) −6.05226e7 1.86687e7i −0.158164 0.0487871i
\(727\) −1.02028e8 + 8.13650e7i −0.265533 + 0.211755i −0.747201 0.664599i \(-0.768603\pi\)
0.481668 + 0.876354i \(0.340031\pi\)
\(728\) −1.21383e6 + 1.61975e7i −0.00314605 + 0.0419811i
\(729\) −5.60411e8 2.69880e8i −1.44652 0.696606i
\(730\) 5.60409e7i 0.144058i
\(731\) 1.64833e6 4.54994e7i 0.00421979 0.116481i
\(732\) 7.52660e7 0.191896
\(733\) 1.62205e8 3.36823e8i 0.411863 0.855242i −0.587091 0.809521i \(-0.699727\pi\)
0.998954 0.0457216i \(-0.0145587\pi\)
\(734\) −1.20072e8 8.99817e6i −0.303637 0.0227544i
\(735\) 1.43617e8 + 1.80089e8i 0.361695 + 0.453551i
\(736\) 1.21704e8 3.94556e8i 0.305262 0.989634i
\(737\) −1.44962e8 + 2.51081e8i −0.362119 + 0.627208i
\(738\) 1.89895e8 1.09636e8i 0.472438 0.272762i
\(739\) 1.91498e8 4.37083e7i 0.474495 0.108300i 0.0214159 0.999771i \(-0.493183\pi\)
0.453079 + 0.891470i \(0.350325\pi\)
\(740\) 1.51166e7 + 2.27846e6i 0.0373043 + 0.00562272i
\(741\) −1.24816e8 1.15812e8i −0.306771 0.284642i
\(742\) 6.64977e6 8.33855e6i 0.0162778 0.0204117i
\(743\) 2.08584e8 + 3.05936e8i 0.508527 + 0.745873i 0.991549 0.129736i \(-0.0414129\pi\)
−0.483021 + 0.875609i \(0.660461\pi\)
\(744\) −4.72487e8 + 4.38404e8i −1.14729 + 1.06453i
\(745\) −1.75111e7 2.33669e8i −0.0423491 0.565110i
\(746\) −5.34442e7 + 1.36173e8i −0.128731 + 0.328002i
\(747\) 1.90540e8 8.34810e8i 0.457114 2.00275i
\(748\) 1.82617e7 5.63300e6i 0.0436352 0.0134597i
\(749\) −4.53174e7 + 6.64685e7i −0.107850 + 0.158187i
\(750\) −5.47614e7 3.63318e8i −0.129805 0.861199i
\(751\) 3.37072e8 1.32291e8i 0.795797 0.312327i 0.0676154 0.997711i \(-0.478461\pi\)
0.728182 + 0.685384i \(0.240366\pi\)
\(752\) −9.05619e7 + 4.36123e7i −0.212957 +