Properties

Label 76.5.l.a.23.5
Level $76$
Weight $5$
Character 76.23
Analytic conductor $7.856$
Analytic rank $0$
Dimension $228$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 76 = 2^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 5 \)
Character orbit: \([\chi]\) \(=\) 76.l (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.85611719437\)
Analytic rank: \(0\)
Dimension: \(228\)
Relative dimension: \(38\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 23.5
Character \(\chi\) \(=\) 76.23
Dual form 76.5.l.a.43.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.62639 - 1.68799i) q^{2} +(-13.6381 + 2.40477i) q^{3} +(10.3014 + 12.2426i) q^{4} +(29.8632 - 25.0582i) q^{5} +(53.5163 + 14.3004i) q^{6} +(-54.4581 - 31.4414i) q^{7} +(-16.6913 - 61.7851i) q^{8} +(104.100 - 37.8894i) q^{9} +O(q^{10})\) \(q+(-3.62639 - 1.68799i) q^{2} +(-13.6381 + 2.40477i) q^{3} +(10.3014 + 12.2426i) q^{4} +(29.8632 - 25.0582i) q^{5} +(53.5163 + 14.3004i) q^{6} +(-54.4581 - 31.4414i) q^{7} +(-16.6913 - 61.7851i) q^{8} +(104.100 - 37.8894i) q^{9} +(-150.594 + 40.4619i) q^{10} +(116.509 - 67.2664i) q^{11} +(-169.932 - 142.194i) q^{12} +(-36.2645 + 205.666i) q^{13} +(144.413 + 205.944i) q^{14} +(-347.019 + 413.561i) q^{15} +(-43.7638 + 252.232i) q^{16} +(-331.637 - 120.706i) q^{17} +(-441.464 - 38.3188i) q^{18} +(-248.486 + 261.870i) q^{19} +(614.410 + 107.470i) q^{20} +(818.315 + 297.842i) q^{21} +(-536.051 + 47.2680i) q^{22} +(-246.839 + 294.172i) q^{23} +(376.216 + 802.494i) q^{24} +(155.367 - 881.132i) q^{25} +(478.672 - 684.611i) q^{26} +(-357.169 + 206.212i) q^{27} +(-176.067 - 990.600i) q^{28} +(-739.926 + 269.311i) q^{29} +(1956.51 - 913.966i) q^{30} +(149.916 + 86.5541i) q^{31} +(584.469 - 840.816i) q^{32} +(-1427.20 + 1197.56i) q^{33} +(998.892 + 997.526i) q^{34} +(-2414.16 + 425.681i) q^{35} +(1536.24 + 884.147i) q^{36} -1117.67 q^{37} +(1343.14 - 530.198i) q^{38} -2892.11i q^{39} +(-2046.68 - 1426.85i) q^{40} +(308.470 + 1749.42i) q^{41} +(-2464.77 - 2461.40i) q^{42} +(-547.604 - 652.609i) q^{43} +(2023.72 + 733.438i) q^{44} +(2159.32 - 3740.06i) q^{45} +(1391.70 - 650.118i) q^{46} +(1405.80 + 3862.39i) q^{47} +(-9.70262 - 3545.20i) q^{48} +(776.624 + 1345.15i) q^{49} +(-2050.77 + 2933.07i) q^{50} +(4813.17 + 848.691i) q^{51} +(-2891.47 + 1674.67i) q^{52} +(361.256 + 303.130i) q^{53} +(1643.32 - 144.905i) q^{54} +(1793.75 - 4928.29i) q^{55} +(-1033.64 + 3889.50i) q^{56} +(2759.14 - 4168.96i) q^{57} +(3137.85 + 272.363i) q^{58} +(-818.004 + 2247.45i) q^{59} +(-8637.83 + 11.8201i) q^{60} +(-2124.12 - 1782.35i) q^{61} +(-397.551 - 566.936i) q^{62} +(-6860.39 - 1209.67i) q^{63} +(-3538.80 + 2062.54i) q^{64} +(4070.65 + 7050.57i) q^{65} +(7197.06 - 1933.72i) q^{66} +(411.697 + 1131.13i) q^{67} +(-1938.55 - 5303.54i) q^{68} +(2659.01 - 4605.54i) q^{69} +(9473.22 + 2531.40i) q^{70} +(-4312.08 - 5138.94i) q^{71} +(-4078.56 - 5799.42i) q^{72} +(562.530 + 3190.27i) q^{73} +(4053.12 + 1886.63i) q^{74} +12390.6i q^{75} +(-5765.72 - 344.507i) q^{76} -8459.80 q^{77} +(-4881.85 + 10487.9i) q^{78} +(3478.29 - 613.316i) q^{79} +(5013.54 + 8629.08i) q^{80} +(-2498.70 + 2096.66i) q^{81} +(1834.37 - 6864.76i) q^{82} +(-147.417 - 85.1113i) q^{83} +(4783.39 + 13086.5i) q^{84} +(-12928.4 + 4705.55i) q^{85} +(884.224 + 3290.96i) q^{86} +(9443.56 - 5452.24i) q^{87} +(-6100.74 - 6075.75i) q^{88} +(-243.708 + 1382.14i) q^{89} +(-14143.7 + 9917.98i) q^{90} +(8441.33 - 10060.0i) q^{91} +(-6144.22 + 8.40783i) q^{92} +(-2252.71 - 819.921i) q^{93} +(1421.73 - 16379.5i) q^{94} +(-858.605 + 14046.9i) q^{95} +(-5949.09 + 12872.7i) q^{96} +(352.351 + 128.245i) q^{97} +(-545.733 - 6188.98i) q^{98} +(9579.90 - 11416.9i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 228q - 6q^{2} - 48q^{4} - 12q^{5} - 60q^{6} - 3q^{8} - 180q^{9} + O(q^{10}) \) \( 228q - 6q^{2} - 48q^{4} - 12q^{5} - 60q^{6} - 3q^{8} - 180q^{9} - 453q^{10} - 3q^{12} + 516q^{13} + 81q^{14} - 720q^{16} - 12q^{17} - 12q^{18} - 1182q^{20} - 930q^{21} - 54q^{22} - 2664q^{24} - 12q^{25} - 3099q^{26} - 4824q^{28} - 12q^{29} + 5814q^{30} + 7419q^{32} + 1542q^{33} + 6912q^{34} + 8547q^{36} - 24q^{37} - 1536q^{38} - 6942q^{40} + 6396q^{41} - 18855q^{42} - 1143q^{44} - 6q^{45} - 1488q^{46} + 6093q^{48} + 26748q^{49} + 8070q^{50} - 12591q^{52} + 2436q^{53} - 7365q^{54} - 14418q^{56} - 12q^{57} + 8268q^{58} + 34632q^{60} - 31068q^{61} + 27396q^{62} + 4575q^{64} + 3594q^{65} - 29556q^{66} - 22782q^{68} + 29370q^{69} - 71541q^{70} - 30174q^{72} - 6348q^{73} - 417q^{74} + 43194q^{76} - 50436q^{77} + 45537q^{78} + 30081q^{80} - 41994q^{81} + 72219q^{82} + 13779q^{84} - 59244q^{85} + 19200q^{86} - 22395q^{88} + 1860q^{89} + 45594q^{90} - 64140q^{92} + 59118q^{93} - 55590q^{94} - 98646q^{96} - 5556q^{97} - 52215q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(39\)
\(\chi(n)\) \(e\left(\frac{1}{9}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.62639 1.68799i −0.906597 0.421998i
\(3\) −13.6381 + 2.40477i −1.51535 + 0.267196i −0.868602 0.495511i \(-0.834981\pi\)
−0.646744 + 0.762707i \(0.723870\pi\)
\(4\) 10.3014 + 12.2426i 0.643835 + 0.765164i
\(5\) 29.8632 25.0582i 1.19453 1.00233i 0.194759 0.980851i \(-0.437608\pi\)
0.999769 0.0214769i \(-0.00683685\pi\)
\(6\) 53.5163 + 14.3004i 1.48656 + 0.397234i
\(7\) −54.4581 31.4414i −1.11139 0.641661i −0.172201 0.985062i \(-0.555088\pi\)
−0.939189 + 0.343400i \(0.888421\pi\)
\(8\) −16.6913 61.7851i −0.260801 0.965393i
\(9\) 104.100 37.8894i 1.28519 0.467770i
\(10\) −150.594 + 40.4619i −1.50594 + 0.404619i
\(11\) 116.509 67.2664i 0.962883 0.555920i 0.0658235 0.997831i \(-0.479033\pi\)
0.897059 + 0.441911i \(0.145699\pi\)
\(12\) −169.932 142.194i −1.18008 0.987458i
\(13\) −36.2645 + 205.666i −0.214583 + 1.21696i 0.667046 + 0.745016i \(0.267558\pi\)
−0.881629 + 0.471943i \(0.843553\pi\)
\(14\) 144.413 + 205.944i 0.736803 + 1.05073i
\(15\) −347.019 + 413.561i −1.54230 + 1.83805i
\(16\) −43.7638 + 252.232i −0.170952 + 0.985279i
\(17\) −331.637 120.706i −1.14753 0.417667i −0.302904 0.953021i \(-0.597956\pi\)
−0.844628 + 0.535354i \(0.820178\pi\)
\(18\) −441.464 38.3188i −1.36254 0.118268i
\(19\) −248.486 + 261.870i −0.688327 + 0.725401i
\(20\) 614.410 + 107.470i 1.53602 + 0.268676i
\(21\) 818.315 + 297.842i 1.85559 + 0.675380i
\(22\) −536.051 + 47.2680i −1.10754 + 0.0976611i
\(23\) −246.839 + 294.172i −0.466615 + 0.556090i −0.947111 0.320907i \(-0.896012\pi\)
0.480496 + 0.876997i \(0.340457\pi\)
\(24\) 376.216 + 802.494i 0.653153 + 1.39322i
\(25\) 155.367 881.132i 0.248588 1.40981i
\(26\) 478.672 684.611i 0.708095 1.01274i
\(27\) −357.169 + 206.212i −0.489944 + 0.282869i
\(28\) −176.067 990.600i −0.224576 1.26352i
\(29\) −739.926 + 269.311i −0.879817 + 0.320227i −0.742136 0.670250i \(-0.766187\pi\)
−0.137681 + 0.990477i \(0.543965\pi\)
\(30\) 1956.51 913.966i 2.17390 1.01552i
\(31\) 149.916 + 86.5541i 0.156000 + 0.0900667i 0.575968 0.817472i \(-0.304625\pi\)
−0.419968 + 0.907539i \(0.637959\pi\)
\(32\) 584.469 840.816i 0.570771 0.821109i
\(33\) −1427.20 + 1197.56i −1.31056 + 1.09969i
\(34\) 998.892 + 997.526i 0.864094 + 0.862912i
\(35\) −2414.16 + 425.681i −1.97074 + 0.347495i
\(36\) 1536.24 + 884.147i 1.18537 + 0.682212i
\(37\) −1117.67 −0.816417 −0.408208 0.912889i \(-0.633846\pi\)
−0.408208 + 0.912889i \(0.633846\pi\)
\(38\) 1343.14 530.198i 0.930153 0.367173i
\(39\) 2892.11i 1.90145i
\(40\) −2046.68 1426.85i −1.27917 0.891780i
\(41\) 308.470 + 1749.42i 0.183504 + 1.04070i 0.927863 + 0.372921i \(0.121644\pi\)
−0.744359 + 0.667779i \(0.767245\pi\)
\(42\) −2464.77 2461.40i −1.39726 1.39535i
\(43\) −547.604 652.609i −0.296162 0.352952i 0.597359 0.801974i \(-0.296217\pi\)
−0.893521 + 0.449022i \(0.851772\pi\)
\(44\) 2023.72 + 733.438i 1.04531 + 0.378842i
\(45\) 2159.32 3740.06i 1.06633 1.84694i
\(46\) 1391.70 650.118i 0.657701 0.307239i
\(47\) 1405.80 + 3862.39i 0.636394 + 1.74848i 0.662766 + 0.748827i \(0.269383\pi\)
−0.0263711 + 0.999652i \(0.508395\pi\)
\(48\) −9.70262 3545.20i −0.00421121 1.53872i
\(49\) 776.624 + 1345.15i 0.323459 + 0.560247i
\(50\) −2050.77 + 2933.07i −0.820306 + 1.17323i
\(51\) 4813.17 + 848.691i 1.85051 + 0.326294i
\(52\) −2891.47 + 1674.67i −1.06933 + 0.619330i
\(53\) 361.256 + 303.130i 0.128607 + 0.107914i 0.704822 0.709384i \(-0.251027\pi\)
−0.576216 + 0.817298i \(0.695471\pi\)
\(54\) 1643.32 144.905i 0.563551 0.0496929i
\(55\) 1793.75 4928.29i 0.592976 1.62919i
\(56\) −1033.64 + 3889.50i −0.329603 + 1.24027i
\(57\) 2759.14 4168.96i 0.849229 1.28315i
\(58\) 3137.85 + 272.363i 0.932774 + 0.0809641i
\(59\) −818.004 + 2247.45i −0.234991 + 0.645633i 0.765008 + 0.644021i \(0.222735\pi\)
−0.999999 + 0.00161161i \(0.999487\pi\)
\(60\) −8637.83 + 11.8201i −2.39940 + 0.00328337i
\(61\) −2124.12 1782.35i −0.570847 0.478998i 0.311080 0.950384i \(-0.399309\pi\)
−0.881927 + 0.471386i \(0.843754\pi\)
\(62\) −397.551 566.936i −0.103421 0.147486i
\(63\) −6860.39 1209.67i −1.72849 0.304780i
\(64\) −3538.80 + 2062.54i −0.863965 + 0.503551i
\(65\) 4070.65 + 7050.57i 0.963467 + 1.66877i
\(66\) 7197.06 1933.72i 1.65222 0.443922i
\(67\) 411.697 + 1131.13i 0.0917123 + 0.251977i 0.977065 0.212943i \(-0.0683050\pi\)
−0.885352 + 0.464921i \(0.846083\pi\)
\(68\) −1938.55 5303.54i −0.419237 1.14696i
\(69\) 2659.01 4605.54i 0.558498 0.967347i
\(70\) 9473.22 + 2531.40i 1.93331 + 0.516611i
\(71\) −4312.08 5138.94i −0.855402 1.01943i −0.999554 0.0298724i \(-0.990490\pi\)
0.144152 0.989556i \(-0.453955\pi\)
\(72\) −4078.56 5799.42i −0.786760 1.11871i
\(73\) 562.530 + 3190.27i 0.105560 + 0.598662i 0.990995 + 0.133898i \(0.0427495\pi\)
−0.885435 + 0.464763i \(0.846139\pi\)
\(74\) 4053.12 + 1886.63i 0.740161 + 0.344526i
\(75\) 12390.6i 2.20277i
\(76\) −5765.72 344.507i −0.998220 0.0596445i
\(77\) −8459.80 −1.42685
\(78\) −4881.85 + 10487.9i −0.802408 + 1.72385i
\(79\) 3478.29 613.316i 0.557329 0.0982721i 0.112113 0.993695i \(-0.464238\pi\)
0.445216 + 0.895423i \(0.353127\pi\)
\(80\) 5013.54 + 8629.08i 0.783366 + 1.34829i
\(81\) −2498.70 + 2096.66i −0.380842 + 0.319564i
\(82\) 1834.37 6864.76i 0.272810 1.02093i
\(83\) −147.417 85.1113i −0.0213989 0.0123547i 0.489262 0.872137i \(-0.337266\pi\)
−0.510661 + 0.859782i \(0.670599\pi\)
\(84\) 4783.39 + 13086.5i 0.677918 + 1.85466i
\(85\) −12928.4 + 4705.55i −1.78940 + 0.651288i
\(86\) 884.224 + 3290.96i 0.119554 + 0.444965i
\(87\) 9443.56 5452.24i 1.24766 0.720339i
\(88\) −6100.74 6075.75i −0.787802 0.784575i
\(89\) −243.708 + 1382.14i −0.0307673 + 0.174490i −0.996319 0.0857203i \(-0.972681\pi\)
0.965552 + 0.260210i \(0.0837920\pi\)
\(90\) −14143.7 + 9917.98i −1.74614 + 1.22444i
\(91\) 8441.33 10060.0i 1.01936 1.21483i
\(92\) −6144.22 + 8.40783i −0.725924 + 0.000993363i
\(93\) −2252.71 819.921i −0.260460 0.0947995i
\(94\) 1421.73 16379.5i 0.160902 1.85372i
\(95\) −858.605 + 14046.9i −0.0951363 + 1.55644i
\(96\) −5949.09 + 12872.7i −0.645518 + 1.39677i
\(97\) 352.351 + 128.245i 0.0374483 + 0.0136301i 0.360676 0.932691i \(-0.382546\pi\)
−0.323228 + 0.946321i \(0.604768\pi\)
\(98\) −545.733 6188.98i −0.0568235 0.644417i
\(99\) 9579.90 11416.9i 0.977441 1.16487i
\(100\) 12387.9 7174.75i 1.23879 0.717475i
\(101\) 2528.45 14339.6i 0.247863 1.40570i −0.565885 0.824484i \(-0.691465\pi\)
0.813748 0.581218i \(-0.197424\pi\)
\(102\) −16021.8 11202.3i −1.53997 1.07673i
\(103\) 1609.74 929.382i 0.151733 0.0876032i −0.422211 0.906498i \(-0.638746\pi\)
0.573944 + 0.818894i \(0.305413\pi\)
\(104\) 13312.4 1192.22i 1.23081 0.110228i
\(105\) 31900.9 11611.0i 2.89351 1.05315i
\(106\) −798.374 1709.07i −0.0710550 0.152106i
\(107\) −17669.4 10201.4i −1.54331 0.891032i −0.998627 0.0523917i \(-0.983316\pi\)
−0.544686 0.838640i \(-0.683351\pi\)
\(108\) −6203.90 2248.42i −0.531884 0.192766i
\(109\) −5923.73 + 4970.60i −0.498588 + 0.418365i −0.857092 0.515163i \(-0.827731\pi\)
0.358504 + 0.933528i \(0.383287\pi\)
\(110\) −14823.8 + 14844.1i −1.22510 + 1.22678i
\(111\) 15243.0 2687.75i 1.23715 0.218144i
\(112\) 10313.8 12360.1i 0.822210 0.985336i
\(113\) −13452.2 −1.05350 −0.526752 0.850019i \(-0.676590\pi\)
−0.526752 + 0.850019i \(0.676590\pi\)
\(114\) −17042.9 + 10460.8i −1.31140 + 0.804928i
\(115\) 14970.3i 1.13197i
\(116\) −10919.3 6284.36i −0.811483 0.467031i
\(117\) 4017.42 + 22783.9i 0.293478 + 1.66440i
\(118\) 6760.08 6769.33i 0.485498 0.486163i
\(119\) 14265.1 + 17000.5i 1.00735 + 1.20052i
\(120\) 31344.1 + 14537.7i 2.17667 + 1.00956i
\(121\) 1729.03 2994.77i 0.118095 0.204547i
\(122\) 4694.29 + 10049.0i 0.315392 + 0.675154i
\(123\) −8413.88 23117.0i −0.556143 1.52799i
\(124\) 484.691 + 2726.99i 0.0315226 + 0.177354i
\(125\) −5257.42 9106.12i −0.336475 0.582792i
\(126\) 22836.5 + 15967.0i 1.43843 + 1.00573i
\(127\) −8901.16 1569.52i −0.551873 0.0973101i −0.109244 0.994015i \(-0.534843\pi\)
−0.442629 + 0.896705i \(0.645954\pi\)
\(128\) 16314.6 1506.11i 0.995766 0.0919259i
\(129\) 9037.65 + 7583.49i 0.543096 + 0.455711i
\(130\) −2860.44 32439.3i −0.169257 1.91949i
\(131\) 5742.38 15777.1i 0.334618 0.919356i −0.652275 0.757982i \(-0.726185\pi\)
0.986893 0.161374i \(-0.0515925\pi\)
\(132\) −29363.4 5136.14i −1.68523 0.294774i
\(133\) 21765.6 6448.18i 1.23046 0.364530i
\(134\) 416.363 4796.84i 0.0231879 0.267144i
\(135\) −5498.92 + 15108.1i −0.301724 + 0.828979i
\(136\) −1922.39 + 22504.9i −0.103935 + 1.21675i
\(137\) 19517.7 + 16377.3i 1.03989 + 0.872573i 0.991995 0.126279i \(-0.0403034\pi\)
0.0478977 + 0.998852i \(0.484748\pi\)
\(138\) −17416.7 + 12213.1i −0.914551 + 0.641309i
\(139\) −26673.7 4703.29i −1.38055 0.243429i −0.566425 0.824113i \(-0.691674\pi\)
−0.814129 + 0.580685i \(0.802785\pi\)
\(140\) −30080.6 25170.5i −1.53472 1.28421i
\(141\) −28460.5 49295.1i −1.43155 2.47951i
\(142\) 6962.78 + 25914.5i 0.345308 + 1.28519i
\(143\) 9609.28 + 26401.3i 0.469915 + 1.29108i
\(144\) 5001.07 + 27915.5i 0.241178 + 1.34623i
\(145\) −15348.1 + 26583.7i −0.729993 + 1.26439i
\(146\) 3345.19 12518.7i 0.156934 0.587291i
\(147\) −13826.5 16477.7i −0.639848 0.762541i
\(148\) −11513.6 13683.3i −0.525638 0.624693i
\(149\) 110.516 + 626.766i 0.00497797 + 0.0282314i 0.987196 0.159515i \(-0.0509929\pi\)
−0.982218 + 0.187746i \(0.939882\pi\)
\(150\) 20915.2 44933.1i 0.929566 1.99703i
\(151\) 1937.68i 0.0849823i 0.999097 + 0.0424911i \(0.0135294\pi\)
−0.999097 + 0.0424911i \(0.986471\pi\)
\(152\) 20327.2 + 10981.8i 0.879813 + 0.475320i
\(153\) −39096.9 −1.67016
\(154\) 30678.5 + 14280.1i 1.29358 + 0.602128i
\(155\) 6645.86 1171.84i 0.276623 0.0487761i
\(156\) 35407.0 29792.6i 1.45492 1.22422i
\(157\) 19013.5 15954.2i 0.771370 0.647256i −0.169690 0.985498i \(-0.554277\pi\)
0.941059 + 0.338242i \(0.109832\pi\)
\(158\) −13648.9 3647.20i −0.546743 0.146098i
\(159\) −5655.81 3265.39i −0.223718 0.129164i
\(160\) −3615.22 39755.2i −0.141219 1.55294i
\(161\) 22691.6 8259.06i 0.875413 0.318624i
\(162\) 12600.4 3385.51i 0.480125 0.129001i
\(163\) −4469.60 + 2580.52i −0.168226 + 0.0971254i −0.581749 0.813368i \(-0.697631\pi\)
0.413523 + 0.910494i \(0.364298\pi\)
\(164\) −18239.8 + 21797.9i −0.678161 + 0.810450i
\(165\) −12612.0 + 71526.1i −0.463250 + 2.62722i
\(166\) 390.924 + 557.485i 0.0141865 + 0.0202310i
\(167\) 32744.4 39023.2i 1.17410 1.39923i 0.275023 0.961438i \(-0.411315\pi\)
0.899074 0.437797i \(-0.144241\pi\)
\(168\) 4743.50 55531.1i 0.168066 1.96751i
\(169\) −14144.9 5148.32i −0.495252 0.180257i
\(170\) 54826.3 + 4758.89i 1.89711 + 0.164667i
\(171\) −15945.4 + 36675.6i −0.545308 + 1.25425i
\(172\) 2348.58 13426.9i 0.0793868 0.453856i
\(173\) −6448.58 2347.09i −0.215462 0.0784219i 0.232034 0.972708i \(-0.425462\pi\)
−0.447496 + 0.894286i \(0.647684\pi\)
\(174\) −43449.4 + 3831.28i −1.43511 + 0.126545i
\(175\) −36165.0 + 43099.8i −1.18090 + 1.40734i
\(176\) 11867.8 + 32331.0i 0.383130 + 1.04374i
\(177\) 5751.45 32618.1i 0.183582 1.04115i
\(178\) 3216.82 4600.78i 0.101528 0.145208i
\(179\) −21371.9 + 12339.1i −0.667018 + 0.385103i −0.794946 0.606680i \(-0.792501\pi\)
0.127928 + 0.991784i \(0.459167\pi\)
\(180\) 68032.1 12091.9i 2.09976 0.373207i
\(181\) −3633.72 + 1322.56i −0.110916 + 0.0403701i −0.396882 0.917870i \(-0.629908\pi\)
0.285966 + 0.958240i \(0.407686\pi\)
\(182\) −47592.7 + 22232.5i −1.43680 + 0.671190i
\(183\) 33255.2 + 19199.9i 0.993017 + 0.573319i
\(184\) 22295.5 + 10340.9i 0.658539 + 0.305438i
\(185\) −33377.3 + 28006.9i −0.975233 + 0.818317i
\(186\) 6785.19 + 6775.92i 0.196127 + 0.195858i
\(187\) −46758.0 + 8244.70i −1.33713 + 0.235772i
\(188\) −32804.2 + 56998.5i −0.928140 + 1.61268i
\(189\) 25934.3 0.726025
\(190\) 26824.7 49490.1i 0.743065 1.37092i
\(191\) 59073.7i 1.61930i 0.586913 + 0.809650i \(0.300343\pi\)
−0.586913 + 0.809650i \(0.699657\pi\)
\(192\) 43302.7 36639.2i 1.17466 0.993902i
\(193\) −7473.92 42386.7i −0.200647 1.13793i −0.904143 0.427229i \(-0.859490\pi\)
0.703496 0.710699i \(-0.251621\pi\)
\(194\) −1061.28 1059.83i −0.0281987 0.0281601i
\(195\) −72471.0 86367.5i −1.90588 2.27134i
\(196\) −8467.91 + 23364.8i −0.220427 + 0.608205i
\(197\) 4693.55 8129.46i 0.120940 0.209474i −0.799199 0.601067i \(-0.794743\pi\)
0.920138 + 0.391593i \(0.128076\pi\)
\(198\) −54012.0 + 25231.2i −1.37772 + 0.643588i
\(199\) −3518.55 9667.13i −0.0888500 0.244113i 0.887307 0.461179i \(-0.152574\pi\)
−0.976157 + 0.217066i \(0.930351\pi\)
\(200\) −57034.1 + 5107.82i −1.42585 + 0.127696i
\(201\) −8334.86 14436.4i −0.206303 0.357328i
\(202\) −33374.2 + 47732.8i −0.817916 + 1.16981i
\(203\) 48762.5 + 8598.14i 1.18330 + 0.208647i
\(204\) 39192.0 + 67668.5i 0.941753 + 1.62602i
\(205\) 53049.1 + 44513.5i 1.26232 + 1.05922i
\(206\) −7406.32 + 653.076i −0.174529 + 0.0153897i
\(207\) −14550.0 + 39975.9i −0.339565 + 0.932949i
\(208\) −50288.4 18147.8i −1.16236 0.419466i
\(209\) −11335.8 + 47224.9i −0.259513 + 1.08113i
\(210\) −135284. 11742.6i −3.06767 0.266272i
\(211\) −11768.4 + 32333.3i −0.264333 + 0.726248i 0.734530 + 0.678576i \(0.237403\pi\)
−0.998863 + 0.0476722i \(0.984820\pi\)
\(212\) 10.3252 + 7545.38i 0.000229735 + 0.167884i
\(213\) 71166.6 + 59715.8i 1.56862 + 1.31623i
\(214\) 46856.1 + 66820.1i 1.02315 + 1.45908i
\(215\) −32706.4 5767.02i −0.707548 0.124760i
\(216\) 18702.4 + 18625.8i 0.400858 + 0.399215i
\(217\) −5442.76 9427.14i −0.115585 0.200198i
\(218\) 29872.1 8026.11i 0.628568 0.168885i
\(219\) −15343.7 42156.5i −0.319920 0.878974i
\(220\) 78813.3 28807.9i 1.62837 0.595204i
\(221\) 36851.7 63829.1i 0.754525 1.30688i
\(222\) −59813.8 15983.2i −1.21366 0.324308i
\(223\) −23847.4 28420.2i −0.479547 0.571502i 0.470980 0.882144i \(-0.343901\pi\)
−0.950527 + 0.310642i \(0.899456\pi\)
\(224\) −58265.5 + 27412.7i −1.16122 + 0.546331i
\(225\) −17211.8 97612.7i −0.339985 1.92815i
\(226\) 48782.9 + 22707.2i 0.955104 + 0.444577i
\(227\) 40697.7i 0.789802i −0.918724 0.394901i \(-0.870779\pi\)
0.918724 0.394901i \(-0.129221\pi\)
\(228\) 79462.0 9166.79i 1.52858 0.176339i
\(229\) −33392.4 −0.636761 −0.318381 0.947963i \(-0.603139\pi\)
−0.318381 + 0.947963i \(0.603139\pi\)
\(230\) 25269.7 54288.0i 0.477688 1.02624i
\(231\) 115376. 20343.8i 2.16217 0.381249i
\(232\) 28989.7 + 41221.3i 0.538602 + 0.765853i
\(233\) 8646.76 7255.49i 0.159273 0.133646i −0.559668 0.828717i \(-0.689071\pi\)
0.718941 + 0.695071i \(0.244627\pi\)
\(234\) 23890.4 89404.6i 0.436306 1.63278i
\(235\) 138766. + 80116.7i 2.51274 + 1.45073i
\(236\) −35941.2 + 13137.3i −0.645311 + 0.235874i
\(237\) −45962.4 + 16728.9i −0.818288 + 0.297832i
\(238\) −23034.2 85730.0i −0.406648 1.51349i
\(239\) 76797.1 44338.8i 1.34446 0.776226i 0.357004 0.934103i \(-0.383798\pi\)
0.987459 + 0.157877i \(0.0504649\pi\)
\(240\) −89126.2 105628.i −1.54733 1.83382i
\(241\) 9526.77 54029.0i 0.164026 0.930235i −0.786038 0.618178i \(-0.787871\pi\)
0.950063 0.312057i \(-0.101018\pi\)
\(242\) −11325.3 + 7941.61i −0.193383 + 0.135606i
\(243\) 50508.7 60194.0i 0.855370 1.01939i
\(244\) −60.7103 44365.5i −0.00101972 0.745187i
\(245\) 56899.6 + 20709.8i 0.947931 + 0.345019i
\(246\) −8509.24 + 98033.6i −0.140611 + 1.61996i
\(247\) −44846.5 60601.7i −0.735080 0.993324i
\(248\) 2845.46 10707.3i 0.0462647 0.174091i
\(249\) 2215.16 + 806.253i 0.0357279 + 0.0130039i
\(250\) 3694.38 + 41896.8i 0.0591101 + 0.670349i
\(251\) −57179.2 + 68143.5i −0.907591 + 1.08163i 0.0887408 + 0.996055i \(0.471716\pi\)
−0.996332 + 0.0855705i \(0.972729\pi\)
\(252\) −55861.8 96450.5i −0.879658 1.51881i
\(253\) −8971.09 + 50877.6i −0.140154 + 0.794851i
\(254\) 29629.7 + 20716.8i 0.459262 + 0.321110i
\(255\) 165003. 95264.7i 2.53754 1.46505i
\(256\) −61705.5 22077.2i −0.941551 0.336871i
\(257\) −4463.28 + 1624.50i −0.0675752 + 0.0245954i −0.375587 0.926787i \(-0.622559\pi\)
0.308011 + 0.951383i \(0.400337\pi\)
\(258\) −19973.2 42756.2i −0.300059 0.642332i
\(259\) 60866.4 + 35141.3i 0.907357 + 0.523863i
\(260\) −44384.3 + 122466.i −0.656572 + 1.81163i
\(261\) −66822.4 + 56070.6i −0.980936 + 0.823103i
\(262\) −47455.7 + 47520.7i −0.691330 + 0.692277i
\(263\) −90848.0 + 16018.9i −1.31342 + 0.231591i −0.786113 0.618083i \(-0.787909\pi\)
−0.527307 + 0.849675i \(0.676798\pi\)
\(264\) 97813.4 + 68190.9i 1.40343 + 0.978404i
\(265\) 18384.2 0.261790
\(266\) −89815.1 13356.6i −1.26936 0.188770i
\(267\) 19435.8i 0.272634i
\(268\) −9606.93 + 16692.4i −0.133757 + 0.232407i
\(269\) −3712.24 21053.1i −0.0513016 0.290946i 0.948353 0.317216i \(-0.102748\pi\)
−0.999655 + 0.0262702i \(0.991637\pi\)
\(270\) 45443.6 45505.9i 0.623369 0.624223i
\(271\) 2219.81 + 2645.47i 0.0302258 + 0.0360217i 0.780946 0.624599i \(-0.214738\pi\)
−0.750720 + 0.660621i \(0.770293\pi\)
\(272\) 44959.5 78366.7i 0.607692 1.05924i
\(273\) −90931.9 + 157499.i −1.22009 + 2.11325i
\(274\) −43134.1 92336.3i −0.574539 1.22990i
\(275\) −41168.9 113111.i −0.544382 1.49568i
\(276\) 83775.3 14890.1i 1.09976 0.195469i
\(277\) −49146.9 85124.9i −0.640525 1.10942i −0.985316 0.170743i \(-0.945383\pi\)
0.344790 0.938680i \(-0.387950\pi\)
\(278\) 88789.9 + 62080.9i 1.14888 + 0.803283i
\(279\) 18885.8 + 3330.07i 0.242620 + 0.0427804i
\(280\) 66596.2 + 142054.i 0.849441 + 1.81191i
\(281\) −97936.0 82178.1i −1.24031 1.04074i −0.997500 0.0706687i \(-0.977487\pi\)
−0.242809 0.970074i \(-0.578069\pi\)
\(282\) 19999.2 + 226804.i 0.251486 + 2.85202i
\(283\) −13024.0 + 35783.2i −0.162619 + 0.446793i −0.994062 0.108818i \(-0.965293\pi\)
0.831442 + 0.555611i \(0.187516\pi\)
\(284\) 18493.8 105729.i 0.229292 1.31087i
\(285\) −22069.7 193638.i −0.271711 2.38397i
\(286\) 9718.19 111962.i 0.118810 1.36879i
\(287\) 38205.5 104969.i 0.463833 1.27437i
\(288\) 28985.4 109674.i 0.349457 1.32227i
\(289\) 31432.2 + 26374.7i 0.376338 + 0.315785i
\(290\) 100531. 70495.3i 1.19538 0.838232i
\(291\) −5113.81 901.702i −0.0603891 0.0106482i
\(292\) −33262.4 + 39751.0i −0.390111 + 0.466210i
\(293\) 68682.7 + 118962.i 0.800040 + 1.38571i 0.919589 + 0.392882i \(0.128522\pi\)
−0.119548 + 0.992828i \(0.538145\pi\)
\(294\) 22325.8 + 83093.6i 0.258293 + 0.961331i
\(295\) 31888.8 + 87613.7i 0.366432 + 1.00676i
\(296\) 18655.4 + 69055.7i 0.212922 + 0.788163i
\(297\) −27742.2 + 48050.9i −0.314505 + 0.544739i
\(298\) 657.204 2459.45i 0.00740061 0.0276952i
\(299\) −51549.7 61434.5i −0.576612 0.687179i
\(300\) −151693. + 127640.i −1.68548 + 1.41822i
\(301\) 9302.53 + 52757.3i 0.102676 + 0.582303i
\(302\) 3270.79 7026.78i 0.0358624 0.0770446i
\(303\) 201645.i 2.19635i
\(304\) −55177.1 74136.4i −0.597051 0.802203i
\(305\) −108096. −1.16201
\(306\) 141780. + 65995.2i 1.51417 + 0.704806i
\(307\) −142674. + 25157.3i −1.51380 + 0.266924i −0.867994 0.496575i \(-0.834591\pi\)
−0.645809 + 0.763499i \(0.723480\pi\)
\(308\) −87147.5 103570.i −0.918657 1.09178i
\(309\) −19718.8 + 16546.1i −0.206521 + 0.173292i
\(310\) −26078.5 6968.60i −0.271369 0.0725141i
\(311\) 61794.5 + 35677.1i 0.638895 + 0.368866i 0.784189 0.620523i \(-0.213079\pi\)
−0.145294 + 0.989389i \(0.546413\pi\)
\(312\) −178689. + 48272.9i −1.83565 + 0.495900i
\(313\) 179210. 65227.0i 1.82925 0.665792i 0.836151 0.548500i \(-0.184801\pi\)
0.993097 0.117292i \(-0.0374214\pi\)
\(314\) −95880.9 + 25761.5i −0.972462 + 0.261284i
\(315\) −235185. + 135784.i −2.37022 + 1.36845i
\(316\) 43339.7 + 36265.4i 0.434022 + 0.363177i
\(317\) −6372.12 + 36138.1i −0.0634111 + 0.359622i 0.936548 + 0.350540i \(0.114002\pi\)
−0.999959 + 0.00908204i \(0.997109\pi\)
\(318\) 14998.2 + 21388.5i 0.148315 + 0.211508i
\(319\) −68092.3 + 81149.2i −0.669139 + 0.797449i
\(320\) −53996.3 + 150270.i −0.527308 + 1.46748i
\(321\) 265509. + 96637.4i 2.57673 + 0.937854i
\(322\) −96229.7 8352.67i −0.928106 0.0805589i
\(323\) 114016. 56851.8i 1.09285 0.544929i
\(324\) −51408.7 8992.21i −0.489718 0.0856597i
\(325\) 175585. + 63907.6i 1.66234 + 0.605042i
\(326\) 20564.4 1813.33i 0.193500 0.0170625i
\(327\) 68835.4 82034.8i 0.643748 0.767189i
\(328\) 102939. 48258.8i 0.956827 0.448569i
\(329\) 44882.0 254539.i 0.414649 2.35159i
\(330\) 166472. 238093.i 1.52866 2.18634i
\(331\) −34332.8 + 19822.1i −0.313367 + 0.180923i −0.648432 0.761272i \(-0.724575\pi\)
0.335065 + 0.942195i \(0.391242\pi\)
\(332\) −476.611 2681.53i −0.00432402 0.0243280i
\(333\) −116350. + 42348.0i −1.04925 + 0.381895i
\(334\) −184615. + 86241.1i −1.65491 + 0.773075i
\(335\) 40638.6 + 23462.7i 0.362117 + 0.209068i
\(336\) −110938. + 193370.i −0.982655 + 1.71282i
\(337\) −77702.7 + 65200.3i −0.684189 + 0.574103i −0.917227 0.398365i \(-0.869578\pi\)
0.233038 + 0.972468i \(0.425133\pi\)
\(338\) 42604.5 + 42546.2i 0.372926 + 0.372416i
\(339\) 183463. 32349.4i 1.59642 0.281493i
\(340\) −190789. 109804.i −1.65042 0.949862i
\(341\) 23288.7 0.200280
\(342\) 119732. 106084.i 1.02367 0.906984i
\(343\) 53309.0i 0.453119i
\(344\) −31181.3 + 44726.6i −0.263498 + 0.377963i
\(345\) −36000.0 204166.i −0.302458 1.71532i
\(346\) 19423.2 + 19396.6i 0.162244 + 0.162022i
\(347\) −62559.9 74556.0i −0.519562 0.619190i 0.440915 0.897549i \(-0.354654\pi\)
−0.960477 + 0.278359i \(0.910210\pi\)
\(348\) 164031. + 59448.5i 1.35447 + 0.490888i
\(349\) 153.229 265.400i 0.00125802 0.00217896i −0.865396 0.501089i \(-0.832933\pi\)
0.866654 + 0.498910i \(0.166266\pi\)
\(350\) 203900. 95250.3i 1.66449 0.777553i
\(351\) −29458.2 80935.7i −0.239107 0.656940i
\(352\) 11537.1 137278.i 0.0931136 1.10794i
\(353\) 108398. + 187752.i 0.869909 + 1.50673i 0.862089 + 0.506757i \(0.169156\pi\)
0.00781947 + 0.999969i \(0.497511\pi\)
\(354\) −75916.0 + 108577.i −0.605797 + 0.866428i
\(355\) −257545. 45412.1i −2.04360 0.360342i
\(356\) −19431.5 + 11254.3i −0.153323 + 0.0888009i
\(357\) −235432. 197551.i −1.84726 1.55004i
\(358\) 98331.2 8670.66i 0.767229 0.0676529i
\(359\) −61851.0 + 169934.i −0.479908 + 1.31854i 0.429664 + 0.902989i \(0.358632\pi\)
−0.909572 + 0.415547i \(0.863590\pi\)
\(360\) −267122. 70987.8i −2.06113 0.547745i
\(361\) −6830.42 130142.i −0.0524122 0.998626i
\(362\) 15409.7 + 1337.55i 0.117592 + 0.0102069i
\(363\) −16379.0 + 45000.9i −0.124301 + 0.341514i
\(364\) 210118. 287.528i 1.58584 0.00217009i
\(365\) 96741.3 + 81175.6i 0.726150 + 0.609312i
\(366\) −88186.8 125761.i −0.658327 0.938820i
\(367\) −156323. 27563.9i −1.16062 0.204648i −0.440012 0.897992i \(-0.645026\pi\)
−0.720607 + 0.693344i \(0.756137\pi\)
\(368\) −63396.8 75134.8i −0.468135 0.554811i
\(369\) 98396.0 + 170427.i 0.722645 + 1.25166i
\(370\) 168315. 45223.2i 1.22947 0.330338i
\(371\) −10142.5 27866.3i −0.0736881 0.202456i
\(372\) −13168.0 36025.4i −0.0951558 0.260330i
\(373\) −50457.5 + 87394.9i −0.362667 + 0.628157i −0.988399 0.151881i \(-0.951467\pi\)
0.625732 + 0.780038i \(0.284800\pi\)
\(374\) 183480. + 49028.7i 1.31173 + 0.350516i
\(375\) 93599.4 + 111547.i 0.665596 + 0.793226i
\(376\) 215174. 151325.i 1.52200 1.07038i
\(377\) −28555.1 161944.i −0.200910 1.13942i
\(378\) −94047.9 43776.9i −0.658211 0.306381i
\(379\) 79968.8i 0.556727i −0.960476 0.278363i \(-0.910208\pi\)
0.960476 0.278363i \(-0.0897920\pi\)
\(380\) −180815. + 134190.i −1.25218 + 0.929297i
\(381\) 125169. 0.862280
\(382\) 99715.9 214224.i 0.683341 1.46805i
\(383\) 153869. 27131.3i 1.04895 0.184958i 0.377501 0.926009i \(-0.376783\pi\)
0.671449 + 0.741051i \(0.265672\pi\)
\(384\) −218879. + 59773.4i −1.48437 + 0.405365i
\(385\) −252637. + 211987.i −1.70441 + 1.43017i
\(386\) −44445.1 + 166326.i −0.298297 + 1.11631i
\(387\) −81732.5 47188.3i −0.545724 0.315074i
\(388\) 2059.64 + 5634.81i 0.0136813 + 0.0374296i
\(389\) 95890.0 34901.1i 0.633686 0.230643i −0.00514887 0.999987i \(-0.501639\pi\)
0.638835 + 0.769344i \(0.279417\pi\)
\(390\) 117020. + 435533.i 0.769363 + 2.86346i
\(391\) 117369. 67763.2i 0.767716 0.443241i
\(392\) 70147.6 70436.1i 0.456500 0.458377i
\(393\) −40375.1 + 228979.i −0.261414 + 1.48255i
\(394\) −30743.1 + 21557.9i −0.198041 + 0.138872i
\(395\) 88504.2 105475.i 0.567244 0.676015i
\(396\) 238459. 326.310i 1.52063 0.00208085i
\(397\) −233633. 85035.4i −1.48236 0.539534i −0.530932 0.847415i \(-0.678158\pi\)
−0.951425 + 0.307881i \(0.900380\pi\)
\(398\) −3558.43 + 40996.0i −0.0224642 + 0.258807i
\(399\) −281336. + 140282.i −1.76717 + 0.881164i
\(400\) 215450. + 77750.2i 1.34656 + 0.485939i
\(401\) −249294. 90735.8i −1.55033 0.564274i −0.581834 0.813307i \(-0.697665\pi\)
−0.968495 + 0.249034i \(0.919887\pi\)
\(402\) 5856.90 + 66421.2i 0.0362423 + 0.411012i
\(403\) −23237.9 + 27693.8i −0.143082 + 0.170519i
\(404\) 201600. 116762.i 1.23518 0.715385i
\(405\) −22080.7 + 125226.i −0.134618 + 0.763456i
\(406\) −162318. 113491.i −0.984724 0.688508i
\(407\) −130219. + 75181.9i −0.786113 + 0.453863i
\(408\) −27901.4 311548.i −0.167612 1.87156i
\(409\) −76696.1 + 27915.1i −0.458487 + 0.166875i −0.560930 0.827863i \(-0.689556\pi\)
0.102443 + 0.994739i \(0.467334\pi\)
\(410\) −117238. 250970.i −0.697432 1.49298i
\(411\) −305569. 176420.i −1.80895 1.04440i
\(412\) 27960.6 + 10133.5i 0.164722 + 0.0596988i
\(413\) 115210. 96672.6i 0.675445 0.566765i
\(414\) 120243. 120408.i 0.701551 0.702512i
\(415\) −6535.08 + 1152.31i −0.0379450 + 0.00669073i
\(416\) 151732. + 150697.i 0.876779 + 0.870801i
\(417\) 375089. 2.15706
\(418\) 120823. 152121.i 0.691509 0.870636i
\(419\) 16458.1i 0.0937459i −0.998901 0.0468730i \(-0.985074\pi\)
0.998901 0.0468730i \(-0.0149256\pi\)
\(420\) 470772. + 270942.i 2.66877 + 1.53595i
\(421\) −39272.7 222727.i −0.221578 1.25663i −0.869120 0.494602i \(-0.835314\pi\)
0.647542 0.762030i \(-0.275797\pi\)
\(422\) 97254.9 97388.1i 0.546118 0.546866i
\(423\) 292687. + 348811.i 1.63577 + 1.94944i
\(424\) 12699.1 27379.9i 0.0706385 0.152300i
\(425\) −157883. + 273462.i −0.874094 + 1.51398i
\(426\) −157278. 336681.i −0.866658 1.85524i
\(427\) 59636.1 + 163849.i 0.327080 + 0.898644i
\(428\) −57126.5 321408.i −0.311853 1.75457i
\(429\) −194541. 336956.i −1.05706 1.83087i
\(430\) 108871. + 76121.6i 0.588812 + 0.411691i
\(431\) 231676. + 40850.8i 1.24717 + 0.219910i 0.757988 0.652269i \(-0.226183\pi\)
0.489186 + 0.872179i \(0.337294\pi\)
\(432\) −36382.0 99113.8i −0.194948 0.531088i
\(433\) 176919. + 148453.i 0.943622 + 0.791793i 0.978212 0.207608i \(-0.0665680\pi\)
−0.0345896 + 0.999402i \(0.511012\pi\)
\(434\) 3824.62 + 43373.8i 0.0203053 + 0.230276i
\(435\) 145392. 399460.i 0.768353 2.11103i
\(436\) −121876. 21318.0i −0.641127 0.112144i
\(437\) −15698.5 137737.i −0.0822045 0.721255i
\(438\) −15517.6 + 178776.i −0.0808866 + 0.931881i
\(439\) 5032.55 13826.8i 0.0261131 0.0717452i −0.925951 0.377643i \(-0.876735\pi\)
0.952064 + 0.305898i \(0.0989567\pi\)
\(440\) −334435. 28567.7i −1.72745 0.147560i
\(441\) 131814. + 110605.i 0.677771 + 0.568718i
\(442\) −241382. + 169264.i −1.23555 + 0.866401i
\(443\) 162062. + 28575.9i 0.825799 + 0.145611i 0.570548 0.821264i \(-0.306731\pi\)
0.255251 + 0.966875i \(0.417842\pi\)
\(444\) 189928. + 158927.i 0.963439 + 0.806177i
\(445\) 27356.0 + 47381.9i 0.138144 + 0.239272i
\(446\) 38506.8 + 143317.i 0.193583 + 0.720490i
\(447\) −3014.45 8282.15i −0.0150867 0.0414503i
\(448\) 257566. 1057.37i 1.28331 0.00526833i
\(449\) 53477.6 92625.9i 0.265264 0.459451i −0.702368 0.711814i \(-0.747874\pi\)
0.967633 + 0.252362i \(0.0812074\pi\)
\(450\) −102353. + 383035.i −0.505447 + 1.89153i
\(451\) 153616. + 183073.i 0.755239 + 0.900059i
\(452\) −138576. 164690.i −0.678283 0.806104i
\(453\) −4659.67 26426.3i −0.0227070 0.128778i
\(454\) −68697.4 + 147586.i −0.333295 + 0.716031i
\(455\) 511948.i 2.47288i
\(456\) −303633. 100889.i −1.46022 0.485192i
\(457\) 241889. 1.15820 0.579100 0.815257i \(-0.303404\pi\)
0.579100 + 0.815257i \(0.303404\pi\)
\(458\) 121094. + 56366.1i 0.577286 + 0.268712i
\(459\) 143341. 25274.9i 0.680371 0.119968i
\(460\) −183275. + 154214.i −0.866141 + 0.728800i
\(461\) −45648.5 + 38303.7i −0.214795 + 0.180235i −0.743837 0.668361i \(-0.766996\pi\)
0.529041 + 0.848596i \(0.322552\pi\)
\(462\) −452737. 120979.i −2.12111 0.566793i
\(463\) −254391. 146873.i −1.18670 0.685140i −0.229144 0.973393i \(-0.573593\pi\)
−0.957555 + 0.288252i \(0.906926\pi\)
\(464\) −35546.8 198419.i −0.165106 0.921609i
\(465\) −87819.0 + 31963.5i −0.406146 + 0.147825i
\(466\) −43603.7 + 11715.6i −0.200794 + 0.0539500i
\(467\) 61317.9 35401.9i 0.281160 0.162328i −0.352789 0.935703i \(-0.614767\pi\)
0.633948 + 0.773375i \(0.281433\pi\)
\(468\) −237550. + 283889.i −1.08458 + 1.29616i
\(469\) 13144.0 74543.4i 0.0597561 0.338894i
\(470\) −367983. 524770.i −1.66584 2.37560i
\(471\) −220942. + 263308.i −0.995947 + 1.18692i
\(472\) 152512. + 13027.7i 0.684575 + 0.0584769i
\(473\) −107699. 39199.3i −0.481383 0.175209i
\(474\) 194916. + 16918.5i 0.867542 + 0.0753020i
\(475\) 192135. + 259635.i 0.851568 + 1.15074i
\(476\) −61180.8 + 349772.i −0.270023 + 1.54373i
\(477\) 49092.3 + 17868.1i 0.215763 + 0.0785312i
\(478\) −353339. + 31156.8i −1.54645 + 0.136363i
\(479\) 119603. 142537.i 0.521280 0.621237i −0.439603 0.898192i \(-0.644881\pi\)
0.960883 + 0.276955i \(0.0893253\pi\)
\(480\) 144907. + 533492.i 0.628936 + 2.31550i
\(481\) 40531.9 229868.i 0.175189 0.993546i
\(482\) −125748. + 179849.i −0.541263 + 0.774130i
\(483\) −289609. + 167206.i −1.24142 + 0.716733i
\(484\) 54475.2 9682.34i 0.232546 0.0413323i
\(485\) 13735.9 4999.47i 0.0583949 0.0212540i
\(486\) −284771. + 133028.i −1.20566 + 0.563211i
\(487\) 209716. + 121080.i 0.884249 + 0.510521i 0.872057 0.489405i \(-0.162786\pi\)
0.0121916 + 0.999926i \(0.496119\pi\)
\(488\) −74668.4 + 160989.i −0.313543 + 0.676015i
\(489\) 54751.3 45941.8i 0.228969 0.192128i
\(490\) −171382. 171148.i −0.713794 0.712818i
\(491\) −70159.0 + 12370.9i −0.291018 + 0.0513144i −0.317251 0.948341i \(-0.602760\pi\)
0.0262331 + 0.999656i \(0.491649\pi\)
\(492\) 196338. 341144.i 0.811099 1.40931i
\(493\) 277894. 1.14337
\(494\) 60335.5 + 295466.i 0.247240 + 1.21075i
\(495\) 581000.i 2.37119i
\(496\) −28392.6 + 34025.6i −0.115409 + 0.138307i
\(497\) 73252.3 + 415435.i 0.296557 + 1.68186i
\(498\) −6672.09 6662.97i −0.0269032 0.0268664i
\(499\) −123008. 146595.i −0.494005 0.588733i 0.460226 0.887802i \(-0.347768\pi\)
−0.954231 + 0.299069i \(0.903324\pi\)
\(500\) 57324.2 158170.i 0.229297 0.632680i
\(501\) −352730. + 610946.i −1.40529 + 2.43404i
\(502\) 322379. 150597.i 1.27926 0.597596i
\(503\) 133759. + 367499.i 0.528671 + 1.45251i 0.860636 + 0.509220i \(0.170066\pi\)
−0.331965 + 0.943292i \(0.607712\pi\)
\(504\) 39768.9 + 444061.i 0.156561 + 1.74816i
\(505\) −283816. 491584.i −1.11290 1.92759i
\(506\) 118414. 169359.i 0.462488 0.661464i
\(507\) 205290. + 36198.2i 0.798642 + 0.140822i
\(508\) −72479.1 125142.i −0.280857 0.484925i
\(509\) 105828. + 88800.6i 0.408476 + 0.342752i 0.823759 0.566940i \(-0.191873\pi\)
−0.415283 + 0.909692i \(0.636317\pi\)
\(510\) −759172. + 66942.4i −2.91877 + 0.257372i
\(511\) 69672.2 191423.i 0.266819 0.733080i
\(512\) 186502. + 184219.i 0.711448 + 0.702739i
\(513\) 34750.9 144772.i 0.132048 0.550112i
\(514\) 18927.7 + 1642.91i 0.0716427 + 0.00621853i
\(515\) 24783.3 68091.4i 0.0934424 0.256731i
\(516\) 258.308 + 188765.i 0.000970150 + 0.708960i
\(517\) 423597. + 355440.i 1.58479 + 1.32980i
\(518\) −161407. 230178.i −0.601538 0.857836i
\(519\) 93590.6 + 16502.6i 0.347454 + 0.0612656i
\(520\) 367676. 369189.i 1.35975 1.36534i
\(521\) −97256.3 168453.i −0.358296 0.620587i 0.629380 0.777098i \(-0.283309\pi\)
−0.987676 + 0.156510i \(0.949976\pi\)
\(522\) 336971. 90538.1i 1.23666 0.332270i
\(523\) −29739.6 81709.0i −0.108726 0.298722i 0.873384 0.487033i \(-0.161921\pi\)
−0.982109 + 0.188311i \(0.939699\pi\)
\(524\) 252307. 92223.5i 0.918897 0.335876i
\(525\) 389578. 674768.i 1.41343 2.44814i
\(526\) 356490. + 95259.8i 1.28847 + 0.344301i
\(527\) −39270.1 46800.2i −0.141397 0.168510i
\(528\) −239603. 412395.i −0.859459 1.47926i
\(529\) 22986.5 + 130363.i 0.0821415 + 0.465847i
\(530\) −66668.1 31032.3i −0.237338 0.110475i
\(531\) 264953.i 0.939681i
\(532\) 303158. + 200043.i 1.07114 + 0.706807i
\(533\) −370982. −1.30587
\(534\) −32807.5 + 70481.7i −0.115051 + 0.247169i
\(535\) −783294. + 138116.i −2.73664 + 0.482543i
\(536\) 63015.1 44316.7i 0.219339 0.154254i
\(537\) 261800. 219676.i 0.907865 0.761789i
\(538\) −22075.5 + 82613.1i −0.0762688 + 0.285420i
\(539\) 180967. + 104481.i 0.622905 + 0.359634i
\(540\) −241610. + 88313.4i −0.828566 + 0.302858i
\(541\) −425227. + 154770.i −1.45287 + 0.528801i −0.943391 0.331683i \(-0.892384\pi\)
−0.509478 + 0.860484i \(0.670161\pi\)
\(542\) −3584.37 13340.5i −0.0122015 0.0454124i
\(543\) 46376.6 26775.5i 0.157289 0.0908110i
\(544\) −295323. + 208297.i −0.997928 + 0.703857i
\(545\) −52347.2 + 296876.i −0.176239 + 0.999498i
\(546\) 595611. 417659.i 1.99792 1.40099i
\(547\) −275593. + 328439.i −0.921073 + 1.09769i 0.0738717 + 0.997268i \(0.476464\pi\)
−0.994945 + 0.100424i \(0.967980\pi\)
\(548\) 557.843 + 407657.i 0.00185760 + 1.35748i
\(549\) −288653. 105061.i −0.957706 0.348576i
\(550\) −41635.5 + 479675.i −0.137638 + 1.58570i
\(551\) 113337. 260684.i 0.373309 0.858640i
\(552\) −328936. 87414.9i −1.07953 0.286885i
\(553\) −208705. 75962.2i −0.682467 0.248398i
\(554\) 34535.4 + 391655.i 0.112524 + 1.27610i
\(555\) 387854. 462226.i 1.25916 1.50061i
\(556\) −217195. 375006.i −0.702586 1.21308i
\(557\) −67133.8 + 380735.i −0.216387 + 1.22719i 0.662097 + 0.749418i \(0.269667\pi\)
−0.878484 + 0.477772i \(0.841444\pi\)
\(558\) −62865.9 43955.1i −0.201905 0.141170i
\(559\) 154078. 88957.0i 0.493080 0.284680i
\(560\) −1717.52 627556.i −0.00547677 2.00114i
\(561\) 617865. 224884.i 1.96321 0.714552i
\(562\) 216438. + 463325.i 0.685269 + 1.46694i
\(563\) −180614. 104277.i −0.569815 0.328983i 0.187260 0.982310i \(-0.440039\pi\)
−0.757076 + 0.653327i \(0.773373\pi\)
\(564\) 310319. 856239.i 0.975552 2.69176i
\(565\) −401726. + 337088.i −1.25844 + 1.05596i
\(566\) 107632. 107779.i 0.335976 0.336436i
\(567\) 201996. 35617.4i 0.628315 0.110789i
\(568\) −245536. + 352198.i −0.761058 + 1.09167i
\(569\) −165446. −0.511013 −0.255507 0.966807i \(-0.582242\pi\)
−0.255507 + 0.966807i \(0.582242\pi\)
\(570\) −246826. + 739459.i −0.759697 + 2.27596i
\(571\) 196250.i 0.601918i 0.953637 + 0.300959i \(0.0973068\pi\)
−0.953637 + 0.300959i \(0.902693\pi\)
\(572\) −224232. + 389612.i −0.685340 + 1.19080i
\(573\) −142058. 805654.i −0.432671 2.45380i
\(574\) −315734. + 316167.i −0.958292 + 0.959604i
\(575\) 220853. + 263203.i 0.667987 + 0.796076i
\(576\) −290241. + 348794.i −0.874811 + 1.05129i
\(577\) −24477.4 + 42396.0i −0.0735212 + 0.127343i −0.900442 0.434976i \(-0.856757\pi\)
0.826921 + 0.562318i \(0.190090\pi\)
\(578\) −69464.9 148702.i −0.207926 0.445104i
\(579\) 203860. + 560101.i 0.608101 + 1.67074i
\(580\) −483561. + 85947.2i −1.43746 + 0.255491i
\(581\) 5352.04 + 9270.00i 0.0158550 + 0.0274617i
\(582\) 17022.6 + 11902.0i 0.0502550 + 0.0351377i
\(583\) 62480.0 + 11016.9i 0.183825 + 0.0324133i
\(584\) 187722. 88005.6i 0.550413 0.258039i
\(585\) 690897. + 579731.i 2.01884 + 1.69401i
\(586\) −48263.2 547338.i −0.140547 1.59390i
\(587\) 61565.6 169150.i 0.178674 0.490903i −0.817733 0.575598i \(-0.804769\pi\)
0.996407 + 0.0846947i \(0.0269915\pi\)
\(588\) 59299.3 339015.i 0.171512 0.980539i
\(589\) −59917.9 + 17751.0i −0.172713 + 0.0511672i
\(590\) 32250.2 371549.i 0.0926464 1.06736i
\(591\) −44461.7 + 122157.i −0.127295 + 0.349740i
\(592\) 48913.7 281913.i 0.139568 0.804398i
\(593\) −198342. 166429.i −0.564035 0.473282i 0.315625 0.948884i \(-0.397786\pi\)
−0.879660 + 0.475602i \(0.842230\pi\)
\(594\) 181714. 127423.i 0.515009 0.361138i
\(595\) 852006. + 150232.i 2.40663 + 0.424353i
\(596\) −6534.80 + 7809.55i −0.0183967 + 0.0219854i
\(597\) 71233.6 + 123380.i 0.199865 + 0.346176i
\(598\) 83238.1 + 309801.i 0.232766 + 0.866323i
\(599\) −110959. 304858.i −0.309250 0.849658i −0.992803 0.119757i \(-0.961788\pi\)
0.683553 0.729901i \(-0.260434\pi\)
\(600\) 765554. 206815.i 2.12654 0.574486i
\(601\) −260677. + 451507.i −0.721696 + 1.25001i 0.238623 + 0.971112i \(0.423304\pi\)
−0.960319 + 0.278902i \(0.910029\pi\)
\(602\) 55319.3 207021.i 0.152645 0.571243i
\(603\) 85715.3 + 102152.i 0.235735 + 0.280938i
\(604\) −23722.3 + 19960.8i −0.0650254 + 0.0547146i
\(605\) −23409.1 132760.i −0.0639551 0.362707i
\(606\) 340375. 731243.i 0.926857 1.99121i
\(607\) 128136.i 0.347770i 0.984766 + 0.173885i \(0.0556321\pi\)
−0.984766 + 0.173885i \(0.944368\pi\)
\(608\) 74951.8 + 361986.i 0.202757 + 0.979229i
\(609\) −685705. −1.84885
\(610\) 391996. + 182464.i 1.05347 + 0.490364i
\(611\) −845343. + 149057.i −2.26439 + 0.399273i
\(612\) −402751. 478649.i −1.07531 1.27795i
\(613\) 227539. 190928.i 0.605530 0.508100i −0.287688 0.957724i \(-0.592887\pi\)
0.893218 + 0.449624i \(0.148442\pi\)
\(614\) 559858. + 149603.i 1.48505 + 0.396829i
\(615\) −830535. 479510.i −2.19588 1.26779i
\(616\) 141205. + 522690.i 0.372124 + 1.37747i
\(617\) −508551. + 185098.i −1.33587 + 0.486217i −0.908510 0.417864i \(-0.862779\pi\)
−0.427361 + 0.904081i \(0.640557\pi\)
\(618\) 99437.7 26717.2i 0.260360 0.0699542i
\(619\) 184164. 106327.i 0.480645 0.277500i −0.240040 0.970763i \(-0.577161\pi\)
0.720685 + 0.693263i \(0.243827\pi\)
\(620\) 82807.9 + 69291.2i 0.215421 + 0.180258i
\(621\) 27501.7 155970.i 0.0713144 0.404444i
\(622\) −163868. 233688.i −0.423559 0.604025i
\(623\) 56728.2 67606.0i 0.146158 0.174184i
\(624\) 729480. + 126569.i 1.87346 + 0.325057i
\(625\) 140292. + 51062.2i 0.359148 + 0.130719i
\(626\) −759986. 65966.2i −1.93935 0.168334i
\(627\) 41033.8 671318.i 0.104378 1.70763i
\(628\) 391186. + 68424.9i 0.991892 + 0.173498i
\(629\) 370662. + 134910.i 0.936864 + 0.340991i
\(630\) 1.08208e6 95415.5i 2.72632 0.240402i
\(631\) 187868. 223892.i 0.471839 0.562316i −0.476663 0.879086i \(-0.658154\pi\)
0.948502 + 0.316770i \(0.102598\pi\)
\(632\) −95950.9 204669.i −0.240223 0.512411i
\(633\) 82744.1 469265.i 0.206505 1.17115i
\(634\) 84108.6 120295.i 0.209248 0.299273i
\(635\) −305146. + 176176.i −0.756765 + 0.436918i
\(636\) −18285.7 102880.i −0.0452061 0.254341i
\(637\) −304816. + 110944.i −0.751206 + 0.273417i
\(638\) 383908. 179339.i 0.943162 0.440589i
\(639\) −643599. 371582.i −1.57621 0.910024i
\(640\) 449467. 453793.i 1.09733 1.10789i
\(641\) 486043. 407838.i 1.18293 0.992595i 0.182973 0.983118i \(-0.441428\pi\)
0.999955 0.00947679i \(-0.00301660\pi\)
\(642\) −799716. 798622.i −1.94028 1.93763i
\(643\) −150280. + 26498.4i −0.363478 + 0.0640910i −0.352405 0.935848i \(-0.614636\pi\)
−0.0110735 + 0.999939i \(0.503525\pi\)
\(644\) 334867. + 192725.i 0.807422 + 0.464693i
\(645\) 459922. 1.10552
\(646\) −509433. + 13708.2i −1.22074 + 0.0328486i
\(647\) 331762.i 0.792535i 0.918135 + 0.396267i \(0.129695\pi\)
−0.918135 + 0.396267i \(0.870305\pi\)
\(648\) 171249. + 119387.i 0.407829 + 0.284319i
\(649\) 55873.0 + 316872.i 0.132652 + 0.752305i
\(650\) −528862. 528139.i −1.25174 1.25003i
\(651\) 96899.1 + 115480.i 0.228643 + 0.272486i
\(652\) −77635.4 28136.7i −0.182627 0.0661878i
\(653\) 98871.1 171250.i 0.231869 0.401609i −0.726489 0.687178i \(-0.758849\pi\)
0.958358 + 0.285569i \(0.0921825\pi\)
\(654\) −388098. + 181296.i −0.907372 + 0.423871i
\(655\) −223859. 615048.i −0.521786 1.43359i
\(656\) −454758. + 1244.60i −1.05675 + 0.00289215i
\(657\) 179437. + 310793.i 0.415700 + 0.720014i
\(658\) −592419. + 847295.i −1.36829 + 1.95696i
\(659\) 35676.2 + 6290.67i 0.0821500 + 0.0144853i 0.214572 0.976708i \(-0.431164\pi\)
−0.132422 + 0.991193i \(0.542275\pi\)
\(660\) −1.00559e6 + 582413.i −2.30851 + 1.33704i
\(661\) 291515. + 244611.i 0.667204 + 0.559851i 0.912236 0.409664i \(-0.134354\pi\)
−0.245032 + 0.969515i \(0.578799\pi\)
\(662\) 157964. 13928.9i 0.360447 0.0317835i
\(663\) −349094. + 959128.i −0.794174 + 2.18197i
\(664\) −2798.03 + 10528.8i −0.00634624 + 0.0238805i
\(665\) 488412. 737971.i 1.10444 1.66877i
\(666\) 493413. + 42827.9i 1.11240 + 0.0965558i
\(667\) 103419. 284142.i 0.232461 0.638680i
\(668\) 815059. 1115.34i 1.82657 0.00249950i
\(669\) 393578. + 330251.i 0.879384 + 0.737890i
\(670\) −107766. 153682.i −0.240068 0.342353i
\(671\) −367371. 64777.4i −0.815943 0.143873i
\(672\) 728711. 513973.i 1.61368 1.13816i
\(673\) −171479. 297010.i −0.378600 0.655754i 0.612259 0.790657i \(-0.290261\pi\)
−0.990859 + 0.134903i \(0.956928\pi\)
\(674\) 391838. 105280.i 0.862554 0.231753i
\(675\) 126207. + 346751.i 0.276998 + 0.761045i
\(676\) −82682.7 226205.i −0.180934 0.495005i
\(677\) 268329. 464759.i 0.585450 1.01403i −0.409369 0.912369i \(-0.634251\pi\)
0.994819 0.101660i \(-0.0324154\pi\)
\(678\) −719912. 192372.i −1.56610 0.418487i
\(679\) −15156.2 18062.4i −0.0328738 0.0391775i
\(680\) 506525. + 720241.i 1.09543 + 1.55762i
\(681\) 97868.5 + 555040.i 0.211032 + 1.19682i
\(682\) −84453.9 39311.2i −0.181573 0.0845176i
\(683\) 284151.i 0.609128i 0.952492 + 0.304564i \(0.0985107\pi\)
−0.952492 + 0.304564i \(0.901489\pi\)
\(684\) −613265. + 182596.i −1.31080 + 0.390283i
\(685\) 993249. 2.11679
\(686\) 89985.2 193319.i 0.191215 0.410796i
\(687\) 455409. 80301.0i 0.964914 0.170140i
\(688\) 188574. 109562.i 0.398386 0.231464i
\(689\) −75444.4 + 63305.4i −0.158924 + 0.133353i
\(690\) −214081. + 801153.i −0.449655 + 1.68274i
\(691\) 275109. + 158834.i 0.576168 + 0.332651i 0.759609 0.650380i \(-0.225390\pi\)
−0.183441 + 0.983031i \(0.558724\pi\)
\(692\) −37694.6 103126.i −0.0787167 0.215355i
\(693\) −880666. + 320536.i −1.83377 + 0.667438i
\(694\) 101017. + 375970.i 0.209736 + 0.780610i
\(695\) −914417. + 527939.i −1.89311 + 1.09298i
\(696\) −494493. 492467.i −1.02080 1.01662i
\(697\) 108865. 617405.i 0.224090 1.27088i
\(698\) −1003.66 + 703.793i −0.00206004 + 0.00144456i
\(699\) −100478. + 119745.i −0.205644 + 0.245077i
\(700\) −900204. + 1231.85i −1.83715 + 0.00251398i
\(701\) 137074. + 49890.9i 0.278946 + 0.101528i 0.477705 0.878520i \(-0.341469\pi\)
−0.198759 + 0.980048i \(0.563691\pi\)
\(702\) −29792.1 + 343229.i −0.0604542 + 0.696482i
\(703\) 277726. 292685.i 0.561962 0.592229i
\(704\) −273562. + 478347.i −0.551963 + 0.965157i
\(705\) −2.08517e6 758940.i −4.19530 1.52697i
\(706\) −76171.4 863836.i −0.152821 1.73309i
\(707\) −588551. + 701408.i −1.17746 + 1.40324i
\(708\) 458579. 265598.i 0.914844 0.529856i
\(709\) 100600. 570530.i 0.200126 1.13497i −0.704800 0.709406i \(-0.748963\pi\)
0.904927 0.425568i \(-0.139926\pi\)
\(710\) 857303. + 599416.i 1.70066 + 1.18908i
\(711\) 338852. 195636.i 0.670303 0.386999i
\(712\) 89463.3 8012.10i 0.176476 0.0158047i
\(713\) −62467.0 + 22736.1i −0.122877 + 0.0447236i
\(714\) 520303. + 1.11380e6i 1.02061 + 2.18480i
\(715\) 948533. + 547636.i 1.85541 + 1.07122i
\(716\) −371223. 134539.i −0.724117 0.262435i
\(717\) −940742. + 789377.i −1.82992 + 1.53549i
\(718\) 511143. 511843.i 0.991502 0.992860i
\(719\) 180904. 31898.2i 0.349937 0.0617033i 0.00408298 0.999992i \(-0.498700\pi\)
0.345854 + 0.938288i \(0.387589\pi\)
\(720\) 848861. + 708329.i 1.63746 + 1.36638i
\(721\) −116884. −0.224846
\(722\) −194909. + 483474.i −0.373901 + 0.927469i
\(723\) 759763.i 1.45346i
\(724\) −53623.9 30862.0i −0.102301 0.0588772i
\(725\) 122338. + 693814.i 0.232748 + 1.31998i
\(726\) 135358. 135543.i 0.256809 0.257161i
\(727\) −324694. 386956.i −0.614336 0.732137i 0.365749 0.930713i \(-0.380813\pi\)
−0.980085 + 0.198576i \(0.936368\pi\)
\(728\) −762454. 353635.i −1.43864 0.667255i
\(729\) −411988. + 713583.i −0.775227 + 1.34273i
\(730\) −213798. 457673.i −0.401197 0.858834i
\(731\) 102832. + 282528.i 0.192439 + 0.528721i
\(732\) 107517. + 604915.i 0.200657 + 1.12894i
\(733\) 286125. + 495582.i 0.532534 + 0.922376i 0.999278 + 0.0379836i \(0.0120935\pi\)
−0.466744 + 0.884392i \(0.654573\pi\)
\(734\) 520359. + 363829.i 0.965852 + 0.675312i
\(735\) −825805. 145612.i −1.52863 0.269539i
\(736\) 103074. + 379481.i 0.190281 + 0.700542i
\(737\) 124053. + 104093.i 0.228388 + 0.191640i
\(738\) −69142.7 784126.i −0.126950 1.43970i
\(739\) 177299. 487126.i 0.324652 0.891975i −0.664788 0.747032i \(-0.731478\pi\)
0.989440 0.144943i \(-0.0462998\pi\)
\(740\) −686710. 120117.i −1.25404 0.219351i
\(741\) 757355. + 718648.i 1.37931 + 1.30882i
\(742\) −10257.5 + 118174.i −0.0186308 + 0.214643i
\(743\) −321373. + 882966.i −0.582146 + 1.59943i 0.202359 + 0.979311i \(0.435139\pi\)
−0.784505 + 0.620123i \(0.787083\pi\)
\(744\) −13058.2 + 152870.i −0.0235906 + 0.276170i
\(745\) 19006.0 + 15947.9i 0.0342435 + 0.0287337i
\(746\) 330500. 231756.i 0.593874 0.416441i
\(747\) −18570.9 3274.56i −0.0332807 0.00586829i
\(748\) −582608. 487509.i −1.04129 0.871324i
\(749\) 641494. + 1.11110e6i 1.14348 + 1.98057i
\(750\) −151136. 562509.i −0.268687 1.00002i
\(751\) −63578.9 174682.i −0.112728 0.309719i 0.870480 0.492203i \(-0.163808\pi\)
−0.983209 + 0.182485i \(0.941586\pi\)
\(752\) −1.03574e6 + 185553.i −1.83153 + 0.328120i
\(753\) 615947. 1.06685e6i 1.08631 1.88154i
\(754\) −169808. + 635473.i −0.298687 + 1.11777i
\(755\) 48554.8 + 57865.4i 0.0851801 + 0.101514i
\(756\) 267159. + 317504.i 0.467440 + 0.555528i
\(757\) −155855. 883899.i −0.271975 1.54245i −0.748408 0.663239i \(-0.769181\pi\)
0.476433 0.879211i \(-0.341930\pi\)
\(758\) −134987. + 289998.i −0.234938 + 0.504727i
\(759\) 715448.i 1.24192i
\(760\) 882219. 181411.i 1.52739 0.314078i
\(761\) −406897. −0.702611 −0.351306 0.936261i \(-0.614262\pi\)
−0.351306 + 0.936261i \(0.614262\pi\)
\(762\) −453913. 211285.i −0.781740 0.363880i
\(763\) 478878. 84439.1i 0.822575 0.145042i
\(764\) −723217. + 608539.i −1.23903 + 1.04256i
\(765\) −1.16756e6 + 979698.i −1.99506 + 1.67405i
\(766\) −603788. 161342.i −1.02903 0.274972i
\(767\) −432559. 249738.i −0.735284 0.424516i
\(768\) 894637. + 152704.i 1.51679 + 0.258898i
\(769\) −750250. + 273069.i −1.26868 + 0.461763i −0.886674 0.462395i \(-0.846990\pi\)
−0.382010 + 0.924158i \(0.624768\pi\)
\(770\) 1.27399e6 342299.i 2.14875 0.577331i
\(771\) 56964.1