Properties

Label 36.5.f.a.7.9
Level 36
Weight 5
Character 36.7
Analytic conductor 3.721
Analytic rank 0
Dimension 44
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 36 = 2^{2} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 5 \)
Character orbit: \([\chi]\) \(=\) 36.f (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.72131867102\)
Analytic rank: \(0\)
Dimension: \(44\)
Relative dimension: \(22\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 7.9
Character \(\chi\) \(=\) 36.7
Dual form 36.5.f.a.31.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.85603 + 3.54333i) q^{2} +(6.53699 - 6.18609i) q^{3} +(-9.11034 - 13.1530i) q^{4} +(-14.8847 - 25.7811i) q^{5} +(9.78653 + 34.6442i) q^{6} +(-51.8739 - 29.9494i) q^{7} +(63.5145 - 7.86857i) q^{8} +(4.46449 - 80.8769i) q^{9} +O(q^{10})\) \(q+(-1.85603 + 3.54333i) q^{2} +(6.53699 - 6.18609i) q^{3} +(-9.11034 - 13.1530i) q^{4} +(-14.8847 - 25.7811i) q^{5} +(9.78653 + 34.6442i) q^{6} +(-51.8739 - 29.9494i) q^{7} +(63.5145 - 7.86857i) q^{8} +(4.46449 - 80.8769i) q^{9} +(118.977 - 4.89106i) q^{10} +(195.278 + 112.744i) q^{11} +(-140.920 - 29.6237i) q^{12} +(-85.8824 - 148.753i) q^{13} +(202.400 - 128.219i) q^{14} +(-256.785 - 76.4524i) q^{15} +(-90.0035 + 239.657i) q^{16} -99.0725 q^{17} +(278.287 + 165.929i) q^{18} +169.267i q^{19} +(-203.494 + 430.653i) q^{20} +(-524.369 + 125.118i) q^{21} +(-761.929 + 482.678i) q^{22} +(310.777 - 179.427i) q^{23} +(366.518 - 444.343i) q^{24} +(-130.609 + 226.221i) q^{25} +(686.480 - 28.2206i) q^{26} +(-471.128 - 556.309i) q^{27} +(78.6636 + 955.147i) q^{28} +(9.01635 - 15.6168i) q^{29} +(747.496 - 767.976i) q^{30} +(671.898 - 387.920i) q^{31} +(-682.133 - 763.721i) q^{32} +(1973.97 - 471.003i) q^{33} +(183.881 - 351.046i) q^{34} +1783.15i q^{35} +(-1104.45 + 678.094i) q^{36} +609.762 q^{37} +(-599.768 - 314.164i) q^{38} +(-1481.61 - 441.118i) q^{39} +(-1148.25 - 1520.35i) q^{40} +(206.545 + 357.747i) q^{41} +(529.909 - 2090.23i) q^{42} +(265.498 + 153.286i) q^{43} +(-296.127 - 3595.63i) q^{44} +(-2151.54 + 1088.73i) q^{45} +(58.9591 + 1434.21i) q^{46} +(2270.59 + 1310.93i) q^{47} +(894.187 + 2123.40i) q^{48} +(593.432 + 1027.85i) q^{49} +(-559.161 - 882.661i) q^{50} +(-647.636 + 612.872i) q^{51} +(-1174.13 + 2484.80i) q^{52} +2034.30 q^{53} +(2845.61 - 636.835i) q^{54} -6712.63i q^{55} +(-3530.40 - 1494.05i) q^{56} +(1047.10 + 1106.50i) q^{57} +(38.6008 + 60.9330i) q^{58} +(-2250.48 + 1299.32i) q^{59} +(1333.82 + 4074.01i) q^{60} +(708.681 - 1227.47i) q^{61} +(127.469 + 3100.74i) q^{62} +(-2653.80 + 4061.69i) q^{63} +(3972.17 - 999.536i) q^{64} +(-2556.67 + 4428.28i) q^{65} +(-1994.83 + 7868.63i) q^{66} +(5191.93 - 2997.56i) q^{67} +(902.584 + 1303.10i) q^{68} +(921.593 - 3095.41i) q^{69} +(-6318.29 - 3309.57i) q^{70} +1239.44i q^{71} +(-352.826 - 5171.98i) q^{72} -5060.60 q^{73} +(-1131.73 + 2160.59i) q^{74} +(545.636 + 2286.76i) q^{75} +(2226.37 - 1542.08i) q^{76} +(-6753.22 - 11696.9i) q^{77} +(4312.93 - 4431.11i) q^{78} +(1635.99 + 944.538i) q^{79} +(7518.28 - 1246.83i) q^{80} +(-6521.14 - 722.147i) q^{81} +(-1650.97 + 67.8700i) q^{82} +(-5831.54 - 3366.84i) q^{83} +(6422.85 + 5757.16i) q^{84} +(1474.66 + 2554.19i) q^{85} +(-1035.91 + 656.246i) q^{86} +(-37.6671 - 157.863i) q^{87} +(13290.1 + 5624.30i) q^{88} +9436.67 q^{89} +(135.598 - 9644.33i) q^{90} +10288.5i q^{91} +(-5191.29 - 2453.01i) q^{92} +(1992.48 - 6692.25i) q^{93} +(-8859.31 + 5612.33i) q^{94} +(4363.88 - 2519.49i) q^{95} +(-9183.55 - 772.696i) q^{96} +(7297.91 - 12640.4i) q^{97} +(-4743.45 + 195.000i) q^{98} +(9990.18 - 15290.1i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 44q - q^{2} - q^{4} - 2q^{5} + 15q^{6} + 122q^{8} - 60q^{9} + O(q^{10}) \) \( 44q - q^{2} - q^{4} - 2q^{5} + 15q^{6} + 122q^{8} - 60q^{9} + 28q^{10} - 228q^{12} - 2q^{13} + 252q^{14} - q^{16} - 56q^{17} + 72q^{18} - 140q^{20} + 138q^{21} - 33q^{22} - 951q^{24} - 1752q^{25} + 1096q^{26} - 516q^{28} + 526q^{29} - 1980q^{30} - 121q^{32} + 2994q^{33} + 385q^{34} - 1005q^{36} - 8q^{37} + 1395q^{38} - 2276q^{40} - 2762q^{41} + 3330q^{42} + 6714q^{44} + 4110q^{45} + 3576q^{46} + 2163q^{48} + 3428q^{49} + 6375q^{50} + 1438q^{52} - 10088q^{53} - 4983q^{54} - 7506q^{56} + 1752q^{57} - 4064q^{58} - 16392q^{60} - 2q^{61} - 18324q^{62} + 9026q^{64} - 2014q^{65} - 17358q^{66} - 11405q^{68} + 3354q^{69} + 3666q^{70} + 4083q^{72} - 3416q^{73} + 14620q^{74} + 1581q^{76} - 3942q^{77} + 34566q^{78} + 45520q^{80} - 1164q^{81} - 8486q^{82} + 51078q^{84} - 1252q^{85} + 22113q^{86} + 1995q^{88} + 13048q^{89} - 4692q^{90} - 30294q^{92} + 12090q^{93} + 7524q^{94} - 76164q^{96} + 5638q^{97} - 92938q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/36\mathbb{Z}\right)^\times\).

\(n\) \(19\) \(29\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.85603 + 3.54333i −0.464006 + 0.885832i
\(3\) 6.53699 6.18609i 0.726332 0.687344i
\(4\) −9.11034 13.1530i −0.569396 0.822063i
\(5\) −14.8847 25.7811i −0.595388 1.03124i −0.993492 0.113902i \(-0.963665\pi\)
0.398104 0.917340i \(-0.369668\pi\)
\(6\) 9.78653 + 34.6442i 0.271848 + 0.962340i
\(7\) −51.8739 29.9494i −1.05865 0.611212i −0.133592 0.991036i \(-0.542651\pi\)
−0.925059 + 0.379824i \(0.875984\pi\)
\(8\) 63.5145 7.86857i 0.992413 0.122946i
\(9\) 4.46449 80.8769i 0.0551171 0.998480i
\(10\) 118.977 4.89106i 1.18977 0.0489106i
\(11\) 195.278 + 112.744i 1.61387 + 0.931767i 0.988462 + 0.151467i \(0.0483998\pi\)
0.625406 + 0.780300i \(0.284934\pi\)
\(12\) −140.920 29.6237i −0.978611 0.205720i
\(13\) −85.8824 148.753i −0.508180 0.880194i −0.999955 0.00947137i \(-0.996985\pi\)
0.491775 0.870722i \(-0.336348\pi\)
\(14\) 202.400 128.219i 1.03265 0.654180i
\(15\) −256.785 76.4524i −1.14127 0.339788i
\(16\) −90.0035 + 239.657i −0.351576 + 0.936159i
\(17\) −99.0725 −0.342812 −0.171406 0.985201i \(-0.554831\pi\)
−0.171406 + 0.985201i \(0.554831\pi\)
\(18\) 278.287 + 165.929i 0.858911 + 0.512126i
\(19\) 169.267i 0.468884i 0.972130 + 0.234442i \(0.0753262\pi\)
−0.972130 + 0.234442i \(0.924674\pi\)
\(20\) −203.494 + 430.653i −0.508735 + 1.07663i
\(21\) −524.369 + 125.118i −1.18904 + 0.283714i
\(22\) −761.929 + 482.678i −1.57423 + 0.997270i
\(23\) 310.777 179.427i 0.587480 0.339182i −0.176620 0.984279i \(-0.556516\pi\)
0.764101 + 0.645097i \(0.223183\pi\)
\(24\) 366.518 444.343i 0.636315 0.771429i
\(25\) −130.609 + 226.221i −0.208974 + 0.361953i
\(26\) 686.480 28.2206i 1.01550 0.0417465i
\(27\) −471.128 556.309i −0.646266 0.763113i
\(28\) 78.6636 + 955.147i 0.100336 + 1.21830i
\(29\) 9.01635 15.6168i 0.0107210 0.0185693i −0.860615 0.509256i \(-0.829921\pi\)
0.871336 + 0.490687i \(0.163254\pi\)
\(30\) 747.496 767.976i 0.830551 0.853307i
\(31\) 671.898 387.920i 0.699165 0.403663i −0.107871 0.994165i \(-0.534403\pi\)
0.807036 + 0.590502i \(0.201070\pi\)
\(32\) −682.133 763.721i −0.666146 0.745821i
\(33\) 1973.97 471.003i 1.81265 0.432510i
\(34\) 183.881 351.046i 0.159067 0.303673i
\(35\) 1783.15i 1.45563i
\(36\) −1104.45 + 678.094i −0.852197 + 0.523221i
\(37\) 609.762 0.445407 0.222703 0.974886i \(-0.428512\pi\)
0.222703 + 0.974886i \(0.428512\pi\)
\(38\) −599.768 314.164i −0.415352 0.217565i
\(39\) −1481.61 441.118i −0.974103 0.290019i
\(40\) −1148.25 1520.35i −0.717659 0.950218i
\(41\) 206.545 + 357.747i 0.122871 + 0.212818i 0.920899 0.389802i \(-0.127457\pi\)
−0.798028 + 0.602620i \(0.794123\pi\)
\(42\) 529.909 2090.23i 0.300402 1.18494i
\(43\) 265.498 + 153.286i 0.143590 + 0.0829019i 0.570074 0.821593i \(-0.306915\pi\)
−0.426484 + 0.904495i \(0.640248\pi\)
\(44\) −296.127 3595.63i −0.152958 1.85725i
\(45\) −2151.54 + 1088.73i −1.06249 + 0.537644i
\(46\) 58.9591 + 1434.21i 0.0278635 + 0.677791i
\(47\) 2270.59 + 1310.93i 1.02788 + 0.593447i 0.916377 0.400317i \(-0.131100\pi\)
0.111504 + 0.993764i \(0.464433\pi\)
\(48\) 894.187 + 2123.40i 0.388102 + 0.921616i
\(49\) 593.432 + 1027.85i 0.247160 + 0.428094i
\(50\) −559.161 882.661i −0.223665 0.353064i
\(51\) −647.636 + 612.872i −0.248995 + 0.235629i
\(52\) −1174.13 + 2484.80i −0.434219 + 0.918935i
\(53\) 2034.30 0.724209 0.362104 0.932138i \(-0.382058\pi\)
0.362104 + 0.932138i \(0.382058\pi\)
\(54\) 2845.61 636.835i 0.975861 0.218393i
\(55\) 6712.63i 2.21905i
\(56\) −3530.40 1494.05i −1.12577 0.476418i
\(57\) 1047.10 + 1106.50i 0.322284 + 0.340565i
\(58\) 38.6008 + 60.9330i 0.0114747 + 0.0181133i
\(59\) −2250.48 + 1299.32i −0.646505 + 0.373260i −0.787116 0.616805i \(-0.788427\pi\)
0.140611 + 0.990065i \(0.455093\pi\)
\(60\) 1333.82 + 4074.01i 0.370506 + 1.13167i
\(61\) 708.681 1227.47i 0.190455 0.329877i −0.754946 0.655786i \(-0.772337\pi\)
0.945401 + 0.325910i \(0.105670\pi\)
\(62\) 127.469 + 3100.74i 0.0331606 + 0.806645i
\(63\) −2653.80 + 4061.69i −0.668633 + 1.02335i
\(64\) 3972.17 999.536i 0.969768 0.244027i
\(65\) −2556.67 + 4428.28i −0.605129 + 1.04811i
\(66\) −1994.83 + 7868.63i −0.457950 + 1.80639i
\(67\) 5191.93 2997.56i 1.15659 0.667758i 0.206106 0.978530i \(-0.433921\pi\)
0.950485 + 0.310772i \(0.100588\pi\)
\(68\) 902.584 + 1303.10i 0.195196 + 0.281813i
\(69\) 921.593 3095.41i 0.193571 0.650160i
\(70\) −6318.29 3309.57i −1.28945 0.675423i
\(71\) 1239.44i 0.245872i 0.992415 + 0.122936i \(0.0392310\pi\)
−0.992415 + 0.122936i \(0.960769\pi\)
\(72\) −352.826 5171.98i −0.0680606 0.997681i
\(73\) −5060.60 −0.949633 −0.474817 0.880085i \(-0.657486\pi\)
−0.474817 + 0.880085i \(0.657486\pi\)
\(74\) −1131.73 + 2160.59i −0.206672 + 0.394555i
\(75\) 545.636 + 2286.76i 0.0970019 + 0.406535i
\(76\) 2226.37 1542.08i 0.385452 0.266980i
\(77\) −6753.22 11696.9i −1.13901 1.97283i
\(78\) 4312.93 4431.11i 0.708898 0.728321i
\(79\) 1635.99 + 944.538i 0.262135 + 0.151344i 0.625308 0.780378i \(-0.284973\pi\)
−0.363173 + 0.931722i \(0.618307\pi\)
\(80\) 7518.28 1246.83i 1.17473 0.194818i
\(81\) −6521.14 722.147i −0.993924 0.110067i
\(82\) −1650.97 + 67.8700i −0.245534 + 0.0100937i
\(83\) −5831.54 3366.84i −0.846500 0.488727i 0.0129681 0.999916i \(-0.495872\pi\)
−0.859469 + 0.511189i \(0.829205\pi\)
\(84\) 6422.85 + 5757.16i 0.910268 + 0.815925i
\(85\) 1474.66 + 2554.19i 0.204106 + 0.353522i
\(86\) −1035.91 + 656.246i −0.140064 + 0.0887298i
\(87\) −37.6671 157.863i −0.00497649 0.0208565i
\(88\) 13290.1 + 5624.30i 1.71618 + 0.726279i
\(89\) 9436.67 1.19135 0.595674 0.803226i \(-0.296885\pi\)
0.595674 + 0.803226i \(0.296885\pi\)
\(90\) 135.598 9644.33i 0.0167405 1.19066i
\(91\) 10288.5i 1.24242i
\(92\) −5191.29 2453.01i −0.613338 0.289817i
\(93\) 1992.48 6692.25i 0.230371 0.773760i
\(94\) −8859.31 + 5612.33i −1.00264 + 0.635166i
\(95\) 4363.88 2519.49i 0.483533 0.279168i
\(96\) −9183.55 772.696i −0.996479 0.0838429i
\(97\) 7297.91 12640.4i 0.775631 1.34343i −0.158808 0.987309i \(-0.550765\pi\)
0.934439 0.356123i \(-0.115902\pi\)
\(98\) −4743.45 + 195.000i −0.493904 + 0.0203040i
\(99\) 9990.18 15290.1i 1.01930 1.56006i
\(100\) 4165.37 343.050i 0.416537 0.0343050i
\(101\) −3230.71 + 5595.76i −0.316705 + 0.548550i −0.979799 0.199987i \(-0.935910\pi\)
0.663093 + 0.748537i \(0.269243\pi\)
\(102\) −969.576 3432.29i −0.0931927 0.329901i
\(103\) −13991.6 + 8078.04i −1.31884 + 0.761432i −0.983542 0.180680i \(-0.942170\pi\)
−0.335298 + 0.942112i \(0.608837\pi\)
\(104\) −6625.25 8772.18i −0.612541 0.811037i
\(105\) 11030.7 + 11656.4i 1.00052 + 1.05727i
\(106\) −3775.72 + 7208.20i −0.336037 + 0.641527i
\(107\) 3065.27i 0.267732i −0.990999 0.133866i \(-0.957261\pi\)
0.990999 0.133866i \(-0.0427392\pi\)
\(108\) −3025.01 + 11264.9i −0.259346 + 0.965785i
\(109\) −17728.8 −1.49220 −0.746098 0.665836i \(-0.768075\pi\)
−0.746098 + 0.665836i \(0.768075\pi\)
\(110\) 23785.1 + 12458.8i 1.96571 + 1.02965i
\(111\) 3986.01 3772.04i 0.323513 0.306147i
\(112\) 11846.4 9736.37i 0.944388 0.776178i
\(113\) 7396.56 + 12811.2i 0.579259 + 1.00331i 0.995565 + 0.0940814i \(0.0299914\pi\)
−0.416305 + 0.909225i \(0.636675\pi\)
\(114\) −5864.13 + 1656.54i −0.451225 + 0.127465i
\(115\) −9251.65 5341.44i −0.699558 0.403890i
\(116\) −287.550 + 23.6819i −0.0213696 + 0.00175995i
\(117\) −12414.1 + 6281.80i −0.906865 + 0.458894i
\(118\) −426.951 10385.8i −0.0306629 0.745890i
\(119\) 5139.28 + 2967.16i 0.362918 + 0.209531i
\(120\) −16911.1 2835.30i −1.17438 0.196896i
\(121\) 18101.8 + 31353.3i 1.23638 + 2.14147i
\(122\) 3034.00 + 4789.31i 0.203843 + 0.321776i
\(123\) 3563.24 + 1060.88i 0.235524 + 0.0701223i
\(124\) −11223.5 5303.40i −0.729939 0.344914i
\(125\) −10829.6 −0.693094
\(126\) −9466.36 16941.9i −0.596269 1.06714i
\(127\) 18478.7i 1.14568i 0.819667 + 0.572841i \(0.194159\pi\)
−0.819667 + 0.572841i \(0.805841\pi\)
\(128\) −3830.77 + 15929.9i −0.233812 + 0.972282i
\(129\) 2683.80 640.372i 0.161276 0.0384816i
\(130\) −10945.6 17278.1i −0.647669 1.02237i
\(131\) 7205.95 4160.35i 0.419902 0.242431i −0.275133 0.961406i \(-0.588722\pi\)
0.695036 + 0.718975i \(0.255389\pi\)
\(132\) −24178.7 21672.7i −1.38767 1.24384i
\(133\) 5069.44 8780.53i 0.286587 0.496384i
\(134\) 984.989 + 23960.3i 0.0548557 + 1.33439i
\(135\) −7329.64 + 20426.7i −0.402175 + 1.12080i
\(136\) −6292.54 + 779.559i −0.340211 + 0.0421474i
\(137\) 10703.4 18538.7i 0.570268 0.987732i −0.426271 0.904596i \(-0.640173\pi\)
0.996538 0.0831367i \(-0.0264938\pi\)
\(138\) 9257.55 + 9010.67i 0.486114 + 0.473150i
\(139\) −15783.6 + 9112.67i −0.816915 + 0.471646i −0.849351 0.527828i \(-0.823007\pi\)
0.0324367 + 0.999474i \(0.489673\pi\)
\(140\) 23453.8 16245.1i 1.19662 0.828832i
\(141\) 22952.3 5476.57i 1.15449 0.275468i
\(142\) −4391.75 2300.44i −0.217802 0.114086i
\(143\) 38730.8i 1.89402i
\(144\) 18980.9 + 8349.15i 0.915358 + 0.402640i
\(145\) −536.823 −0.0255326
\(146\) 9392.60 17931.3i 0.440636 0.841215i
\(147\) 10237.7 + 3048.05i 0.473769 + 0.141055i
\(148\) −5555.13 8020.20i −0.253613 0.366152i
\(149\) 8119.72 + 14063.8i 0.365736 + 0.633474i 0.988894 0.148622i \(-0.0474838\pi\)
−0.623158 + 0.782096i \(0.714150\pi\)
\(150\) −9115.46 2310.92i −0.405131 0.102708i
\(151\) 21240.4 + 12263.2i 0.931557 + 0.537835i 0.887304 0.461186i \(-0.152576\pi\)
0.0442533 + 0.999020i \(0.485909\pi\)
\(152\) 1331.89 + 10750.9i 0.0576476 + 0.465326i
\(153\) −442.308 + 8012.68i −0.0188948 + 0.342290i
\(154\) 53980.1 2219.08i 2.27611 0.0935690i
\(155\) −20002.0 11548.2i −0.832549 0.480672i
\(156\) 7695.94 + 23506.4i 0.316237 + 0.965910i
\(157\) −19827.0 34341.4i −0.804375 1.39322i −0.916712 0.399548i \(-0.869167\pi\)
0.112337 0.993670i \(-0.464166\pi\)
\(158\) −6383.24 + 4043.75i −0.255698 + 0.161983i
\(159\) 13298.2 12584.4i 0.526016 0.497780i
\(160\) −9536.19 + 28953.9i −0.372507 + 1.13101i
\(161\) −21494.9 −0.829248
\(162\) 14662.2 21766.2i 0.558688 0.829378i
\(163\) 25324.6i 0.953162i −0.879130 0.476581i \(-0.841876\pi\)
0.879130 0.476581i \(-0.158124\pi\)
\(164\) 2823.75 5975.89i 0.104988 0.222185i
\(165\) −41525.0 43880.4i −1.52525 1.61177i
\(166\) 22753.3 14414.1i 0.825712 0.523084i
\(167\) −24109.7 + 13919.8i −0.864490 + 0.499113i −0.865513 0.500886i \(-0.833008\pi\)
0.00102363 + 0.999999i \(0.499674\pi\)
\(168\) −32320.5 + 12072.8i −1.14514 + 0.427750i
\(169\) −471.081 + 815.937i −0.0164939 + 0.0285682i
\(170\) −11787.4 + 484.569i −0.407867 + 0.0167671i
\(171\) 13689.8 + 755.690i 0.468171 + 0.0258435i
\(172\) −402.612 4888.59i −0.0136091 0.165244i
\(173\) 11027.3 19099.8i 0.368448 0.638170i −0.620875 0.783909i \(-0.713223\pi\)
0.989323 + 0.145739i \(0.0465560\pi\)
\(174\) 629.270 + 159.531i 0.0207845 + 0.00526921i
\(175\) 13550.4 7823.30i 0.442461 0.255455i
\(176\) −44595.5 + 36652.4i −1.43968 + 1.18325i
\(177\) −6673.69 + 22415.3i −0.213020 + 0.715482i
\(178\) −17514.7 + 33437.2i −0.552794 + 1.05533i
\(179\) 52513.4i 1.63895i 0.573118 + 0.819473i \(0.305734\pi\)
−0.573118 + 0.819473i \(0.694266\pi\)
\(180\) 33921.4 + 18380.6i 1.04696 + 0.567302i
\(181\) −7223.25 −0.220483 −0.110242 0.993905i \(-0.535162\pi\)
−0.110242 + 0.993905i \(0.535162\pi\)
\(182\) −36455.5 19095.7i −1.10058 0.576492i
\(183\) −2960.61 12407.9i −0.0884056 0.370508i
\(184\) 18327.0 13841.6i 0.541322 0.408837i
\(185\) −9076.12 15720.3i −0.265190 0.459322i
\(186\) 20014.8 + 19481.0i 0.578528 + 0.563100i
\(187\) −19346.7 11169.8i −0.553252 0.319420i
\(188\) −3443.21 41808.1i −0.0974200 1.18289i
\(189\) 7778.09 + 42967.9i 0.217746 + 1.20287i
\(190\) 827.894 + 20138.9i 0.0229334 + 0.557864i
\(191\) −9164.94 5291.38i −0.251225 0.145045i 0.369100 0.929390i \(-0.379666\pi\)
−0.620325 + 0.784345i \(0.712999\pi\)
\(192\) 19782.8 31106.2i 0.536643 0.843809i
\(193\) 19543.2 + 33849.9i 0.524665 + 0.908746i 0.999588 + 0.0287188i \(0.00914273\pi\)
−0.474923 + 0.880028i \(0.657524\pi\)
\(194\) 31243.8 + 49319.7i 0.830157 + 1.31044i
\(195\) 10680.8 + 44763.4i 0.280890 + 1.17721i
\(196\) 8113.02 17169.5i 0.211189 0.446937i
\(197\) −10820.0 −0.278802 −0.139401 0.990236i \(-0.544518\pi\)
−0.139401 + 0.990236i \(0.544518\pi\)
\(198\) 35635.9 + 63777.4i 0.908986 + 1.62681i
\(199\) 807.389i 0.0203881i 0.999948 + 0.0101940i \(0.00324492\pi\)
−0.999948 + 0.0101940i \(0.996755\pi\)
\(200\) −6515.50 + 15396.0i −0.162888 + 0.384900i
\(201\) 15396.4 51712.8i 0.381090 1.27999i
\(202\) −13831.3 21833.3i −0.338970 0.535078i
\(203\) −935.426 + 540.068i −0.0226996 + 0.0131056i
\(204\) 13961.3 + 2934.90i 0.335479 + 0.0705233i
\(205\) 6148.73 10649.9i 0.146311 0.253419i
\(206\) −2654.41 64569.8i −0.0625510 1.52158i
\(207\) −13124.1 25935.7i −0.306286 0.605282i
\(208\) 43379.3 7194.03i 1.00267 0.166282i
\(209\) −19083.8 + 33054.1i −0.436890 + 0.756716i
\(210\) −61775.9 + 17450.9i −1.40081 + 0.395711i
\(211\) 52683.9 30417.0i 1.18335 0.683207i 0.226562 0.973997i \(-0.427251\pi\)
0.956787 + 0.290790i \(0.0939181\pi\)
\(212\) −18533.2 26757.2i −0.412361 0.595345i
\(213\) 7667.31 + 8102.22i 0.168999 + 0.178585i
\(214\) 10861.2 + 5689.21i 0.237166 + 0.124229i
\(215\) 9126.44i 0.197435i
\(216\) −34300.8 31626.6i −0.735185 0.677867i
\(217\) −46471.9 −0.986895
\(218\) 32905.1 62818.9i 0.692389 1.32184i
\(219\) −33081.1 + 31305.3i −0.689749 + 0.652724i
\(220\) −88291.3 + 61154.3i −1.82420 + 1.26352i
\(221\) 8508.59 + 14737.3i 0.174210 + 0.301741i
\(222\) 5967.45 + 21124.7i 0.121083 + 0.428633i
\(223\) 9292.11 + 5364.80i 0.186855 + 0.107881i 0.590509 0.807031i \(-0.298927\pi\)
−0.403654 + 0.914912i \(0.632260\pi\)
\(224\) 12511.9 + 60046.6i 0.249361 + 1.19672i
\(225\) 17712.9 + 11573.2i 0.349885 + 0.228606i
\(226\) −59122.5 + 2430.48i −1.15754 + 0.0475856i
\(227\) 65585.2 + 37865.7i 1.27278 + 0.734842i 0.975511 0.219951i \(-0.0705898\pi\)
0.297272 + 0.954793i \(0.403923\pi\)
\(228\) 5014.32 23853.1i 0.0964589 0.458855i
\(229\) 26683.3 + 46216.8i 0.508825 + 0.881311i 0.999948 + 0.0102204i \(0.00325330\pi\)
−0.491123 + 0.871090i \(0.663413\pi\)
\(230\) 36097.8 22867.8i 0.682378 0.432283i
\(231\) −116504. 34686.6i −2.18332 0.650036i
\(232\) 449.787 1062.84i 0.00835662 0.0197465i
\(233\) 56485.5 1.04046 0.520230 0.854026i \(-0.325846\pi\)
0.520230 + 0.854026i \(0.325846\pi\)
\(234\) 782.381 55646.3i 0.0142885 1.01626i
\(235\) 78050.9i 1.41333i
\(236\) 37592.6 + 17763.4i 0.674961 + 0.318935i
\(237\) 16537.4 3945.94i 0.294423 0.0702511i
\(238\) −20052.3 + 12703.0i −0.354005 + 0.224260i
\(239\) 41561.8 23995.7i 0.727610 0.420086i −0.0899375 0.995947i \(-0.528667\pi\)
0.817547 + 0.575862i \(0.195333\pi\)
\(240\) 41433.9 54659.3i 0.719339 0.948947i
\(241\) 32075.1 55555.6i 0.552247 0.956520i −0.445865 0.895100i \(-0.647104\pi\)
0.998112 0.0614196i \(-0.0195628\pi\)
\(242\) −144692. + 5948.19i −2.47067 + 0.101567i
\(243\) −47095.9 + 35619.7i −0.797573 + 0.603223i
\(244\) −22601.3 + 1861.39i −0.379624 + 0.0312649i
\(245\) 17666.1 30598.6i 0.294313 0.509764i
\(246\) −10372.5 + 10656.7i −0.171401 + 0.176097i
\(247\) 25178.9 14537.1i 0.412708 0.238277i
\(248\) 39622.8 29925.4i 0.644232 0.486561i
\(249\) −58948.3 + 14065.4i −0.950764 + 0.226858i
\(250\) 20100.0 38372.8i 0.321600 0.613965i
\(251\) 65230.8i 1.03539i 0.855564 + 0.517696i \(0.173210\pi\)
−0.855564 + 0.517696i \(0.826790\pi\)
\(252\) 77600.5 2097.83i 1.22198 0.0330346i
\(253\) 80917.3 1.26415
\(254\) −65476.1 34296.9i −1.01488 0.531604i
\(255\) 25440.4 + 7574.33i 0.391240 + 0.116483i
\(256\) −49334.7 43139.9i −0.752788 0.658263i
\(257\) 21657.9 + 37512.6i 0.327907 + 0.567951i 0.982096 0.188380i \(-0.0603235\pi\)
−0.654190 + 0.756331i \(0.726990\pi\)
\(258\) −2712.15 + 10698.1i −0.0407451 + 0.160719i
\(259\) −31630.7 18262.0i −0.471530 0.272238i
\(260\) 81537.3 6715.22i 1.20617 0.0993376i
\(261\) −1222.78 798.935i −0.0179502 0.0117282i
\(262\) 1367.08 + 33254.7i 0.0199155 + 0.484452i
\(263\) 73443.4 + 42402.6i 1.06180 + 0.613029i 0.925929 0.377698i \(-0.123284\pi\)
0.135868 + 0.990727i \(0.456618\pi\)
\(264\) 121670. 45447.8i 1.74572 0.652087i
\(265\) −30280.0 52446.5i −0.431185 0.746835i
\(266\) 21703.3 + 34259.6i 0.306734 + 0.484193i
\(267\) 61687.4 58376.2i 0.865315 0.818866i
\(268\) −86727.3 40980.8i −1.20750 0.570572i
\(269\) −66685.5 −0.921567 −0.460784 0.887513i \(-0.652432\pi\)
−0.460784 + 0.887513i \(0.652432\pi\)
\(270\) −58774.3 63883.7i −0.806232 0.876320i
\(271\) 122426.i 1.66700i 0.552516 + 0.833502i \(0.313668\pi\)
−0.552516 + 0.833502i \(0.686332\pi\)
\(272\) 8916.88 23743.4i 0.120524 0.320926i
\(273\) 63645.7 + 67255.9i 0.853972 + 0.902412i
\(274\) 45823.2 + 72333.9i 0.610357 + 0.963475i
\(275\) −51010.0 + 29450.6i −0.674512 + 0.389430i
\(276\) −49110.0 + 16078.5i −0.644691 + 0.211070i
\(277\) −68726.1 + 119037.i −0.895699 + 1.55140i −0.0627613 + 0.998029i \(0.519991\pi\)
−0.832937 + 0.553367i \(0.813343\pi\)
\(278\) −2994.39 72839.8i −0.0387453 0.942496i
\(279\) −28374.1 56072.9i −0.364514 0.720351i
\(280\) 14030.8 + 113256.i 0.178965 + 1.44459i
\(281\) −7001.61 + 12127.2i −0.0886718 + 0.153584i −0.906950 0.421238i \(-0.861596\pi\)
0.818278 + 0.574822i \(0.194929\pi\)
\(282\) −23194.8 + 91492.3i −0.291671 + 1.15050i
\(283\) −99634.2 + 57523.8i −1.24404 + 0.718249i −0.969915 0.243444i \(-0.921723\pi\)
−0.274129 + 0.961693i \(0.588389\pi\)
\(284\) 16302.4 11291.7i 0.202123 0.139999i
\(285\) 12940.9 43465.3i 0.159321 0.535122i
\(286\) 137236. + 71885.5i 1.67778 + 0.878838i
\(287\) 24743.6i 0.300400i
\(288\) −64812.8 + 51759.2i −0.781404 + 0.624026i
\(289\) −73705.6 −0.882480
\(290\) 996.357 1902.14i 0.0118473 0.0226176i
\(291\) −30488.0 127775.i −0.360034 1.50890i
\(292\) 46103.7 + 66562.1i 0.540717 + 0.780659i
\(293\) −14259.3 24697.8i −0.166097 0.287689i 0.770947 0.636899i \(-0.219783\pi\)
−0.937044 + 0.349210i \(0.886450\pi\)
\(294\) −29801.6 + 30618.1i −0.344782 + 0.354229i
\(295\) 66995.6 + 38679.9i 0.769843 + 0.444469i
\(296\) 38728.7 4797.95i 0.442027 0.0547611i
\(297\) −29280.5 161752.i −0.331944 1.83373i
\(298\) −64902.9 + 2668.11i −0.730856 + 0.0300449i
\(299\) −53380.6 30819.3i −0.597092 0.344731i
\(300\) 25106.9 28009.9i 0.278965 0.311221i
\(301\) −9181.62 15903.0i −0.101341 0.175528i
\(302\) −82875.2 + 52501.0i −0.908679 + 0.575644i
\(303\) 13496.7 + 56564.9i 0.147009 + 0.616115i
\(304\) −40566.0 15234.6i −0.438950 0.164848i
\(305\) −42194.0 −0.453577
\(306\) −27570.6 16439.0i −0.294444 0.175563i
\(307\) 115338.i 1.22376i −0.790952 0.611879i \(-0.790414\pi\)
0.790952 0.611879i \(-0.209586\pi\)
\(308\) −92325.6 + 195388.i −0.973242 + 2.05966i
\(309\) −41491.3 + 139359.i −0.434550 + 1.45955i
\(310\) 78043.1 49439.9i 0.812103 0.514463i
\(311\) 85566.6 49401.9i 0.884674 0.510767i 0.0124776 0.999922i \(-0.496028\pi\)
0.872197 + 0.489155i \(0.162695\pi\)
\(312\) −97574.7 16359.2i −1.00237 0.168056i
\(313\) 37066.1 64200.3i 0.378345 0.655313i −0.612477 0.790489i \(-0.709827\pi\)
0.990822 + 0.135176i \(0.0431600\pi\)
\(314\) 158482. 6515.09i 1.60739 0.0660786i
\(315\) 144216. + 7960.85i 1.45342 + 0.0802303i
\(316\) −2480.88 30123.2i −0.0248445 0.301667i
\(317\) 1057.30 1831.29i 0.0105215 0.0182238i −0.860717 0.509084i \(-0.829984\pi\)
0.871238 + 0.490860i \(0.163318\pi\)
\(318\) 19908.8 + 70476.9i 0.196875 + 0.696935i
\(319\) 3521.39 2033.08i 0.0346045 0.0199789i
\(320\) −84893.7 87529.0i −0.829040 0.854775i
\(321\) −18962.0 20037.6i −0.184024 0.194463i
\(322\) 39895.2 76163.6i 0.384777 0.734575i
\(323\) 16769.7i 0.160739i
\(324\) 49911.3 + 92351.6i 0.475455 + 0.879740i
\(325\) 44868.0 0.424785
\(326\) 89733.2 + 47003.1i 0.844342 + 0.442273i
\(327\) −115893. + 109672.i −1.08383 + 1.02565i
\(328\) 15933.6 + 21096.9i 0.148104 + 0.196097i
\(329\) −78522.8 136006.i −0.725444 1.25651i
\(330\) 232554. 65693.4i 2.13548 0.603245i
\(331\) 12334.0 + 7121.02i 0.112576 + 0.0649960i 0.555231 0.831696i \(-0.312630\pi\)
−0.442655 + 0.896692i \(0.645963\pi\)
\(332\) 8843.19 + 107375.i 0.0802292 + 0.974156i
\(333\) 2722.27 49315.6i 0.0245495 0.444730i
\(334\) −4573.98 111264.i −0.0410017 0.997384i
\(335\) −154561. 89235.7i −1.37724 0.795150i
\(336\) 17209.7 136930.i 0.152439 1.21288i
\(337\) −37711.8 65318.7i −0.332061 0.575146i 0.650855 0.759202i \(-0.274411\pi\)
−0.982916 + 0.184056i \(0.941077\pi\)
\(338\) −2016.79 3183.59i −0.0176534 0.0278666i
\(339\) 127603. + 37991.0i 1.11035 + 0.330584i
\(340\) 20160.7 42665.9i 0.174400 0.369082i
\(341\) 174942. 1.50448
\(342\) −28086.2 + 47104.8i −0.240127 + 0.402729i
\(343\) 72725.3i 0.618155i
\(344\) 18069.1 + 7646.75i 0.152693 + 0.0646190i
\(345\) −93520.6 + 22314.6i −0.785722 + 0.187478i
\(346\) 47209.9 + 74522.9i 0.394349 + 0.622498i
\(347\) −128553. + 74220.2i −1.06764 + 0.616401i −0.927535 0.373736i \(-0.878077\pi\)
−0.140103 + 0.990137i \(0.544743\pi\)
\(348\) −1733.21 + 1933.62i −0.0143118 + 0.0159666i
\(349\) 11665.4 20205.1i 0.0957745 0.165886i −0.814157 0.580645i \(-0.802801\pi\)
0.909932 + 0.414758i \(0.136134\pi\)
\(350\) 2570.71 + 62533.6i 0.0209854 + 0.510478i
\(351\) −42290.9 + 117859.i −0.343268 + 0.956637i
\(352\) −47100.8 226044.i −0.380140 1.82435i
\(353\) −9687.21 + 16778.7i −0.0777409 + 0.134651i −0.902275 0.431161i \(-0.858104\pi\)
0.824534 + 0.565812i \(0.191437\pi\)
\(354\) −67038.3 65250.5i −0.534954 0.520688i
\(355\) 31954.1 18448.7i 0.253554 0.146389i
\(356\) −85971.3 124121.i −0.678349 0.979364i
\(357\) 51950.5 12395.7i 0.407618 0.0972603i
\(358\) −186072. 97466.3i −1.45183 0.760481i
\(359\) 139927.i 1.08571i −0.839827 0.542854i \(-0.817344\pi\)
0.839827 0.542854i \(-0.182656\pi\)
\(360\) −128087. + 86079.6i −0.988329 + 0.664194i
\(361\) 101670. 0.780148
\(362\) 13406.5 25594.4i 0.102306 0.195311i
\(363\) 312286. + 92976.5i 2.36995 + 0.705603i
\(364\) 135325. 93731.7i 1.02135 0.707431i
\(365\) 75325.5 + 130468.i 0.565400 + 0.979302i
\(366\) 49460.4 + 12539.0i 0.369229 + 0.0936056i
\(367\) −79304.5 45786.5i −0.588797 0.339942i 0.175825 0.984421i \(-0.443741\pi\)
−0.764622 + 0.644479i \(0.777074\pi\)
\(368\) 15029.9 + 90628.9i 0.110984 + 0.669224i
\(369\) 29855.6 15107.6i 0.219267 0.110954i
\(370\) 72547.7 2982.38i 0.529932 0.0217851i
\(371\) −105527. 60926.1i −0.766684 0.442645i
\(372\) −106175. + 34761.6i −0.767252 + 0.251197i
\(373\) −42790.4 74115.1i −0.307559 0.532708i 0.670269 0.742118i \(-0.266179\pi\)
−0.977828 + 0.209411i \(0.932845\pi\)
\(374\) 75486.3 47820.2i 0.539666 0.341875i
\(375\) −70792.9 + 66992.9i −0.503416 + 0.476394i
\(376\) 154530. + 65396.4i 1.09304 + 0.462571i
\(377\) −3097.38 −0.0217928
\(378\) −166686. 52189.2i −1.16658 0.365256i
\(379\) 39838.1i 0.277345i 0.990338 + 0.138672i \(0.0442835\pi\)
−0.990338 + 0.138672i \(0.955716\pi\)
\(380\) −72895.3 34444.8i −0.504815 0.238537i
\(381\) 114311. + 120795.i 0.787477 + 0.832146i
\(382\) 35759.4 22653.4i 0.245055 0.155241i
\(383\) 147816. 85341.8i 1.00769 0.581787i 0.0971722 0.995268i \(-0.469020\pi\)
0.910513 + 0.413480i \(0.135687\pi\)
\(384\) 73501.9 + 127831.i 0.498467 + 0.866909i
\(385\) −201039. + 348210.i −1.35631 + 2.34920i
\(386\) −156214. + 6421.84i −1.04844 + 0.0431007i
\(387\) 13582.6 20788.3i 0.0906901 0.138803i
\(388\) −232745. + 19168.3i −1.54603 + 0.127327i
\(389\) −107907. + 186901.i −0.713103 + 1.23513i 0.250583 + 0.968095i \(0.419378\pi\)
−0.963687 + 0.267036i \(0.913956\pi\)
\(390\) −178435. 45236.3i −1.17314 0.297412i
\(391\) −30789.5 + 17776.3i −0.201395 + 0.116275i
\(392\) 45779.3 + 60614.2i 0.297918 + 0.394459i
\(393\) 21368.9 71772.9i 0.138355 0.464703i
\(394\) 20082.3 38338.9i 0.129366 0.246972i
\(395\) 56236.6i 0.360434i
\(396\) −292125. + 7897.23i −1.86285 + 0.0503598i
\(397\) 292553. 1.85620 0.928098 0.372336i \(-0.121443\pi\)
0.928098 + 0.372336i \(0.121443\pi\)
\(398\) −2860.84 1498.53i −0.0180604 0.00946021i
\(399\) −21178.3 88758.3i −0.133029 0.557524i
\(400\) −42460.1 51661.9i −0.265376 0.322887i
\(401\) −102157. 176941.i −0.635300 1.10037i −0.986452 0.164053i \(-0.947543\pi\)
0.351152 0.936318i \(-0.385790\pi\)
\(402\) 154659. + 150535.i 0.957027 + 0.931505i
\(403\) −115408. 66631.1i −0.710604 0.410267i
\(404\) 103034. 8485.63i 0.631274 0.0519902i
\(405\) 78447.5 + 178871.i 0.478265 + 1.09051i
\(406\) −177.464 4316.90i −0.00107661 0.0261891i
\(407\) 119073. + 68746.9i 0.718827 + 0.415015i
\(408\) −36311.8 + 44022.2i −0.218136 + 0.264455i
\(409\) −17364.4 30076.0i −0.103804 0.179793i 0.809445 0.587196i \(-0.199768\pi\)
−0.913249 + 0.407402i \(0.866435\pi\)
\(410\) 26323.9 + 41553.5i 0.156597 + 0.247195i
\(411\) −44714.7 187400.i −0.264708 1.10939i
\(412\) 233718. + 110438.i 1.37689 + 0.650613i
\(413\) 155655. 0.912564
\(414\) 116257. + 1634.57i 0.678297 + 0.00953678i
\(415\) 200458.i 1.16393i
\(416\) −55022.3 + 167059.i −0.317945 + 0.965349i
\(417\) −46805.5 + 157208.i −0.269169 + 0.904073i
\(418\) −81701.5 128969.i −0.467603 0.738132i
\(419\) −277682. + 160320.i −1.58169 + 0.913187i −0.587073 + 0.809534i \(0.699720\pi\)
−0.994614 + 0.103653i \(0.966947\pi\)
\(420\) 52823.6 251282.i 0.299453 1.42450i
\(421\) −67885.7 + 117582.i −0.383014 + 0.663399i −0.991491 0.130172i \(-0.958447\pi\)
0.608478 + 0.793571i \(0.291780\pi\)
\(422\) 9994.93 + 243131.i 0.0561248 + 1.36526i
\(423\) 116161. 177786.i 0.649199 0.993609i
\(424\) 129208. 16007.0i 0.718714 0.0890388i
\(425\) 12939.7 22412.3i 0.0716386 0.124082i
\(426\) −42939.5 + 12129.8i −0.236613 + 0.0668399i
\(427\) −73524.1 + 42449.2i −0.403250 + 0.232816i
\(428\) −40317.5 + 27925.6i −0.220093 + 0.152446i
\(429\) −239593. 253183.i −1.30184 1.37569i
\(430\) 32338.0 + 16938.9i 0.174894 + 0.0916112i
\(431\) 31343.0i 0.168728i −0.996435 0.0843638i \(-0.973114\pi\)
0.996435 0.0843638i \(-0.0268858\pi\)
\(432\) 175726. 62839.1i 0.941607 0.336715i
\(433\) 101022. 0.538815 0.269407 0.963026i \(-0.413172\pi\)
0.269407 + 0.963026i \(0.413172\pi\)
\(434\) 86253.1 164665.i 0.457926 0.874223i
\(435\) −3509.21 + 3320.84i −0.0185451 + 0.0175497i
\(436\) 161515. + 233187.i 0.849651 + 1.22668i
\(437\) 30371.1 + 52604.3i 0.159037 + 0.275460i
\(438\) −49525.7 175321.i −0.258156 0.913870i
\(439\) 157593. + 90986.2i 0.817724 + 0.472113i 0.849631 0.527378i \(-0.176825\pi\)
−0.0319068 + 0.999491i \(0.510158\pi\)
\(440\) −52818.8 426349.i −0.272824 2.20222i
\(441\) 85779.0 43406.1i 0.441066 0.223189i
\(442\) −68011.3 + 2795.89i −0.348126 + 0.0143112i
\(443\) 32206.4 + 18594.4i 0.164110 + 0.0947490i 0.579806 0.814755i \(-0.303128\pi\)
−0.415696 + 0.909504i \(0.636462\pi\)
\(444\) −85927.6 18063.4i −0.435880 0.0916292i
\(445\) −140462. 243287.i −0.709315 1.22857i
\(446\) −36255.7 + 22967.8i −0.182266 + 0.115465i
\(447\) 140078. + 41705.3i 0.701061 + 0.208726i
\(448\) −235987. 67114.3i −1.17580 0.334395i
\(449\) −20385.0 −0.101115 −0.0505577 0.998721i \(-0.516100\pi\)
−0.0505577 + 0.998721i \(0.516100\pi\)
\(450\) −73883.2 + 41282.6i −0.364855 + 0.203865i
\(451\) 93146.9i 0.457947i
\(452\) 101121. 214002.i 0.494953 1.04747i
\(453\) 214710. 51231.1i 1.04630 0.249653i
\(454\) −255898. + 162110.i −1.24153 + 0.786501i
\(455\) 265249. 153141.i 1.28124 0.739724i
\(456\) 75212.6 + 62039.3i 0.361710 + 0.298358i
\(457\) 139829. 242191.i 0.669521 1.15964i −0.308517 0.951219i \(-0.599833\pi\)
0.978038 0.208426i \(-0.0668340\pi\)
\(458\) −213286. + 8768.03i −1.01679 + 0.0417995i
\(459\) 46675.8 + 55114.9i 0.221547 + 0.261604i
\(460\) 14029.6 + 170349.i 0.0663023 + 0.805054i
\(461\) 80298.4 139081.i 0.377838 0.654434i −0.612910 0.790153i \(-0.710001\pi\)
0.990747 + 0.135719i \(0.0433344\pi\)
\(462\) 339140. 348432.i 1.58890 1.63243i
\(463\) −85869.5 + 49576.8i −0.400569 + 0.231268i −0.686729 0.726913i \(-0.740954\pi\)
0.286161 + 0.958182i \(0.407621\pi\)
\(464\) 2931.16 + 3566.39i 0.0136146 + 0.0165651i
\(465\) −202191. + 48244.0i −0.935095 + 0.223120i
\(466\) −104839. + 200147.i −0.482780 + 0.921673i
\(467\) 278790.i 1.27833i 0.769068 + 0.639167i \(0.220721\pi\)
−0.769068 + 0.639167i \(0.779279\pi\)
\(468\) 195721. + 106053.i 0.893605 + 0.484208i
\(469\) −359101. −1.63257
\(470\) 276560. + 144865.i 1.25197 + 0.655792i
\(471\) −342048. 101838.i −1.54186 0.459057i
\(472\) −132714. + 100234.i −0.595709 + 0.449913i
\(473\) 34564.0 + 59866.6i 0.154490 + 0.267585i
\(474\) −16712.2 + 65921.3i −0.0743833 + 0.293406i
\(475\) −38291.7 22107.7i −0.169714 0.0979844i
\(476\) −7793.40 94628.8i −0.0343964 0.417647i
\(477\) 9082.11 164528.i 0.0399163 0.723108i
\(478\) 7884.90 + 191804.i 0.0345096 + 0.839462i
\(479\) −27705.5 15995.8i −0.120752 0.0697163i 0.438407 0.898776i \(-0.355543\pi\)
−0.559160 + 0.829060i \(0.688876\pi\)
\(480\) 116773. + 248263.i 0.506829 + 1.07753i
\(481\) −52367.8 90703.7i −0.226347 0.392044i
\(482\) 137320. + 216765.i 0.591070 + 0.933029i
\(483\) −140512. + 132970.i −0.602310 + 0.569979i
\(484\) 247477. 523733.i 1.05644 2.23573i
\(485\) −434509. −1.84721
\(486\) −38801.1 232987.i −0.164275 0.986415i
\(487\) 346823.i 1.46235i −0.682192 0.731173i \(-0.738973\pi\)
0.682192 0.731173i \(-0.261027\pi\)
\(488\) 35353.1 83538.5i 0.148452 0.350790i
\(489\) −156660. 165546.i −0.655150 0.692313i
\(490\) 75632.1 + 119389.i 0.315003 + 0.497246i
\(491\) 207830. 119991.i 0.862076 0.497720i −0.00263098 0.999997i \(-0.500837\pi\)
0.864707 + 0.502277i \(0.167504\pi\)
\(492\) −18508.6 56532.4i −0.0764614 0.233543i
\(493\) −893.273 + 1547.19i −0.00367528 + 0.00636577i
\(494\) 4776.82 + 116198.i 0.0195743 + 0.476152i
\(495\) −542897. 29968.4i −2.21568 0.122308i
\(496\) 32494.6 + 195939.i 0.132083 + 0.796448i
\(497\) 37120.5 64294.7i 0.150280 0.260293i
\(498\) 59571.1 234979.i 0.240202 0.947481i
\(499\) 295354. 170523.i 1.18616 0.684828i 0.228726 0.973491i \(-0.426544\pi\)
0.957431 + 0.288663i \(0.0932107\pi\)
\(500\) 98661.2 + 142442.i 0.394645 + 0.569767i
\(501\) −71496.2 + 240139.i −0.284844 + 0.956724i
\(502\) −231134. 121070.i −0.917184 0.480429i
\(503\) 3886.22i 0.0153600i −0.999971 0.00768001i \(-0.997555\pi\)
0.999971 0.00768001i \(-0.00244465\pi\)
\(504\) −136595. + 278857.i −0.537742 + 1.09779i
\(505\) 192353. 0.754250
\(506\) −150185. + 286716.i −0.586576 + 1.11983i
\(507\) 1968.01 + 8247.92i 0.00765616 + 0.0320870i
\(508\) 243051. 168347.i 0.941823 0.652347i
\(509\) −98673.1 170907.i −0.380858 0.659666i 0.610327 0.792150i \(-0.291038\pi\)
−0.991185 + 0.132484i \(0.957705\pi\)
\(510\) −74056.3 + 76085.4i −0.284722 + 0.292524i
\(511\) 262513. + 151562.i 1.00533 + 0.580427i
\(512\) 244425. 94740.3i 0.932409 0.361405i
\(513\) 94164.7 79746.3i 0.357811 0.303023i
\(514\) −173117. + 7116.71i −0.655260 + 0.0269372i
\(515\) 416521. + 240478.i 1.57044 + 0.906696i
\(516\) −32873.1 29466.0i −0.123464 0.110668i
\(517\) 295597. + 511990.i 1.10591 + 1.91549i
\(518\) 123416. 78183.2i 0.459950 0.291376i
\(519\) −46068.0 193071.i −0.171027 0.716774i
\(520\) −127541. + 301377.i −0.471676 + 1.11456i
\(521\) 229165. 0.844255 0.422127 0.906536i \(-0.361283\pi\)
0.422127 + 0.906536i \(0.361283\pi\)
\(522\) 5100.41 2849.88i 0.0187182 0.0104589i
\(523\) 346673.i 1.26741i −0.773575 0.633705i \(-0.781533\pi\)
0.773575 0.633705i \(-0.218467\pi\)
\(524\) −120370. 56877.7i −0.438384 0.207147i
\(525\) 40182.9 134965.i 0.145788 0.489667i
\(526\) −286559. + 181534.i −1.03572 + 0.656124i
\(527\) −66566.6 + 38432.2i −0.239682 + 0.138380i
\(528\) −64785.6 + 515468.i −0.232387 + 1.84899i
\(529\) −75532.2 + 130826.i −0.269911 + 0.467500i
\(530\) 242035. 9949.89i 0.861642 0.0354215i
\(531\) 95037.5 + 187813.i 0.337059 + 0.666095i
\(532\) −161675. + 13315.2i −0.571241 + 0.0470460i
\(533\) 35477.2 61448.4i 0.124881 0.216300i
\(534\) 92352.3 + 326926.i 0.323866 + 1.14648i
\(535\) −79025.8 + 45625.6i −0.276097 + 0.159405i
\(536\) 306176. 231242.i 1.06572 0.804890i
\(537\) 324853. + 343280.i 1.12652 + 1.19042i
\(538\) 123770. 236289.i 0.427613 0.816353i
\(539\) 267623.i 0.921184i
\(540\) 335448. 89686.9i 1.15037 0.307568i
\(541\) −287354. −0.981799 −0.490900 0.871216i \(-0.663332\pi\)
−0.490900 + 0.871216i \(0.663332\pi\)
\(542\) −433797. 227227.i −1.47669 0.773501i
\(543\) −47218.3 + 44683.7i −0.160144 + 0.151548i
\(544\) 67580.7 + 75663.8i 0.228362 + 0.255676i
\(545\) 263888. + 457067.i 0.888436 + 1.53882i
\(546\) −356438. + 100689.i −1.19563 + 0.337750i
\(547\) −486589. 280932.i −1.62625 0.938917i −0.985198 0.171421i \(-0.945164\pi\)
−0.641054 0.767496i \(1.27850\pi\)
\(548\) −341352. + 28112.9i −1.13669 + 0.0936148i
\(549\) −96110.2 62796.0i −0.318878 0.208347i
\(550\) −9677.37 235406.i −0.0319913 0.778203i
\(551\) 2643.40 + 1526.17i 0.00870684 + 0.00502689i
\(552\) 34178.0 203855.i 0.112168 0.669026i
\(553\) −56576.7 97993.6i −0.185006 0.320441i
\(554\) −294230. 464455.i −0.958666 1.51330i
\(555\) −156578. 46617.7i −0.508328 0.151344i
\(556\) 263653. + 124583.i 0.852871 + 0.403002i
\(557\) −393303. −1.26770 −0.633850 0.773456i \(-0.718526\pi\)
−0.633850 + 0.773456i \(0.718526\pi\)
\(558\) 251348. + 3533.92i 0.807247 + 0.0113498i
\(559\) 52658.1i 0.168516i
\(560\) −427344. 160490.i −1.36270 0.511766i
\(561\) −195567. + 46663.4i −0.621397 + 0.148269i
\(562\) −29975.3 47317.3i −0.0949054 0.149812i
\(563\) −481867. + 278206.i −1.52023 + 0.877707i −0.520518 + 0.853851i \(0.674261\pi\)
−0.999715 + 0.0238561i \(0.992406\pi\)
\(564\) −281137. 251999.i −0.883811 0.792210i
\(565\) 220191. 381382.i 0.689768 1.19471i
\(566\) −18902.1 459802.i −0.0590035 1.43529i
\(567\) 316649. + 232765.i 0.984944 + 0.724021i
\(568\) 9752.64 + 78722.5i 0.0302291 + 0.244007i
\(569\) −91030.8 + 157670.i −0.281167 + 0.486995i −0.971672 0.236332i \(-0.924055\pi\)
0.690506 + 0.723327i \(0.257388\pi\)
\(570\) 129993. + 126526.i 0.400102 + 0.389432i
\(571\) 190279. 109858.i 0.583604 0.336944i −0.178960 0.983856i \(-0.557273\pi\)
0.762565 + 0.646912i \(0.223940\pi\)
\(572\) −509427. + 352851.i −1.55701 + 1.07845i
\(573\) −92644.1 + 22105.5i −0.282168 + 0.0673272i
\(574\) 87674.8 + 45924.8i 0.266104 + 0.139387i
\(575\) 93739.0i 0.283521i
\(576\) −63105.6 325719.i −0.190206 0.981744i
\(577\) 9527.81 0.0286181 0.0143091 0.999898i \(-0.495445\pi\)
0.0143091 + 0.999898i \(0.495445\pi\)
\(578\) 136800. 261163.i 0.409477 0.781729i
\(579\) 337153. + 100380.i 1.00570 + 0.299427i
\(580\) 4890.64 + 7060.84i 0.0145382 + 0.0209894i
\(581\) 201670. + 349302.i 0.597432 + 1.03478i
\(582\) 509337. + 129125.i 1.50369 + 0.381211i
\(583\) 397254. + 229355.i 1.16878 + 0.674794i
\(584\) −321421. + 39819.7i −0.942429 + 0.116754i
\(585\) 346731. + 226545.i 1.01317 + 0.661978i
\(586\) 113978. 4685.55i 0.331914 0.0136447i
\(587\) 8948.63 + 5166.49i 0.0259705 + 0.0149941i 0.512929 0.858431i \(-0.328560\pi\)
−0.486959 + 0.873425i \(0.661894\pi\)
\(588\) −53177.5 162425.i −0.153806 0.469784i
\(589\) 65662.1 + 113730.i 0.189271 + 0.327827i
\(590\) −261401. + 165596.i −0.750937 + 0.475715i
\(591\) −70730.4 + 66933.7i −0.202503 + 0.191633i
\(592\) −54880.7 + 146134.i −0.156594 + 0.416972i
\(593\) 143639. 0.408473 0.204236 0.978922i \(-0.434529\pi\)
0.204236 + 0.978922i \(0.434529\pi\)
\(594\) 627484. + 196465.i 1.77840 + 0.556817i
\(595\) 176661.i 0.499008i
\(596\) 111007. 234924.i 0.312507 0.661356i
\(597\) 4994.58 + 5277.89i 0.0140136 + 0.0148085i
\(598\) 208279. 131943.i 0.582428 0.368965i
\(599\) −305650. + 176467.i −0.851865 + 0.491824i −0.861280 0.508131i \(-0.830336\pi\)
0.00941494 + 0.999956i \(0.497003\pi\)
\(600\) 52649.3 + 140949.i 0.146248 + 0.391525i
\(601\) −17733.8 + 30715.9i −0.0490969 + 0.0850382i −0.889529 0.456878i \(-0.848968\pi\)
0.840433 + 0.541916i \(0.182301\pi\)
\(602\) 73390.9 3017.04i 0.202511 0.00832509i
\(603\) −219254. 433290.i −0.602995 1.19164i
\(604\) −32209.8 391097.i −0.0882907 1.07204i
\(605\) 538881. 933369.i 1.47225 2.55001i
\(606\) −225478. 57162.5i −0.613987 0.155656i
\(607\) 424309. 244975.i 1.15161 0.664881i 0.202330 0.979317i \(-0.435149\pi\)
0.949279 + 0.314436i \(0.101815\pi\)
\(608\) 129273. 115463.i 0.349703 0.312345i
\(609\) −2773.96 + 9317.05i −0.00747937 + 0.0251214i
\(610\) 78313.2 149507.i 0.210463 0.401793i
\(611\) 450342.i 1.20631i
\(612\) 109420. 67180.5i 0.292143 0.179366i
\(613\) 284390. 0.756821 0.378410 0.925638i \(-0.376471\pi\)
0.378410 + 0.925638i \(0.376471\pi\)
\(614\) 408680. + 214070.i 1.08404 + 0.567831i
\(615\) −25687.2 107655.i −0.0679151 0.284632i
\(616\) −520965. 689785.i −1.37293 1.81783i
\(617\) −98237.4 170152.i −0.258052 0.446958i 0.707668 0.706545i \(-0.249747\pi\)
−0.965720 + 0.259586i \(0.916414\pi\)
\(618\) −416786. 405671.i −1.09128 1.06218i
\(619\) −58731.2 33908.5i −0.153281 0.0884967i 0.421398 0.906876i \(-0.361540\pi\)
−0.574679 + 0.818379i \(0.694873\pi\)
\(620\) 30331.8 + 368294.i 0.0789069 + 0.958101i
\(621\) −246233. 88355.0i −0.638502 0.229112i
\(622\) 16233.3 + 394882.i 0.0419590 + 1.02067i
\(623\) −489517. 282623.i −1.26122 0.728167i
\(624\) 239067. 315376.i 0.613975 0.809952i
\(625\) 242826. + 420586.i 0.621634 + 1.07670i
\(626\) 158687. + 250495.i 0.404942 + 0.639219i
\(627\) 79725.2 + 334129.i 0.202797 + 0.849921i
\(628\) −271062. + 573647.i −0.687306 + 1.45454i
\(629\) −60410.6 −0.152691
\(630\) −295876. + 496228.i −0.745467 + 1.25026i
\(631\) 716972.i 1.80071i 0.435158 + 0.900354i \(0.356692\pi\)
−0.435158 + 0.900354i \(0.643308\pi\)
\(632\) 111341. + 47118.9i 0.278754 + 0.117967i
\(633\) 156231. 524743.i 0.389907 1.30960i
\(634\) 4526.49 + 7145.27i 0.0112612 + 0.0177762i
\(635\) 476401. 275050.i 1.18148 0.682125i
\(636\) −286674. 60263.6i −0.708718 0.148984i
\(637\) 101931. 176549.i 0.251204 0.435098i
\(638\) 668.061 + 16250.9i 0.00164125 + 0.0399241i
\(639\) 100242. + 5533.47i 0.245499 + 0.0135518i
\(640\) 467709. 138350.i 1.14187 0.337769i
\(641\) −321445. + 556760.i −0.782332 + 1.35504i 0.148248 + 0.988950i \(0.452637\pi\)
−0.930580 + 0.366089i \(0.880697\pi\)
\(642\) 106194. 29998.3i 0.257650 0.0727825i
\(643\) 1326.59 765.910i 0.00320861 0.00185249i −0.498395 0.866950i \(-0.666077\pi\)
0.501603 + 0.865098i \(0.332744\pi\)
\(644\) 195826. + 282723.i 0.472171 + 0.681695i
\(645\) −56457.0 59659.4i −0.135706 0.143403i
\(646\) 59420.6 + 31125.0i 0.142387 + 0.0745838i
\(647\) 106720.i 0.254938i −0.991843 0.127469i \(-0.959315\pi\)
0.991843 0.127469i \(-0.0406854\pi\)
\(648\) −419869. + 5445.23i −0.999916 + 0.0129678i
\(649\) −585960. −1.39116
\(650\) −83276.1 + 158982.i −0.197103 + 0.376288i
\(651\) −303786. + 287480.i −0.716814 + 0.678336i
\(652\) −333094. + 230715.i −0.783560 + 0.542727i
\(653\) −114833. 198896.i −0.269301 0.466444i 0.699380 0.714750i \(-0.253459\pi\)
−0.968682 + 0.248306i \(0.920126\pi\)
\(654\) −173503. 614201.i −0.405651 1.43600i
\(655\) −214517. 123851.i −0.500010 0.288681i
\(656\) −104326. + 17301.5i −0.242430 + 0.0402046i
\(657\) −22593.0 + 409285.i −0.0523410 + 0.948190i
\(658\) 627652. 25802.3i 1.44966 0.0595946i
\(659\) −337909. 195092.i −0.778089 0.449230i 0.0576633 0.998336i \(-0.481635\pi\)
−0.835753 + 0.549106i \(0.814968\pi\)
\(660\) −198853. + 945944.i −0.456504 + 2.17159i
\(661\) −223443. 387014.i −0.511403 0.885776i −0.999913 0.0132177i \(-0.995793\pi\)
0.488509 0.872559i \(-0.337541\pi\)
\(662\) −48124.3 + 30486.5i −0.109812 + 0.0695651i
\(663\) 146787. + 43702.7i 0.333934 + 0.0994217i
\(664\) −396879. 167957.i −0.900166 0.380945i
\(665\) −301829. −0.682523
\(666\) 169689. + 101177.i 0.382564 + 0.228104i
\(667\) 6471.12i 0.0145455i
\(668\) 402735. + 190302.i 0.902540 + 0.426472i
\(669\) 93929.6 22412.2i 0.209870 0.0500763i
\(670\) 603060. 382036.i 1.34342 0.851048i
\(671\) 276780. 159799.i 0.614737 0.354919i
\(672\) 453244. + 315124.i 1.00368 + 0.697820i
\(673\) −169746. + 294009.i −0.374774 + 0.649128i −0.990293 0.138994i \(-0.955613\pi\)
0.615519 + 0.788122i \(0.288946\pi\)
\(674\) 301440. 12392.0i 0.663561 0.0272785i
\(675\) 187382. 33920.1i 0.411264 0.0744474i
\(676\) 15023.7 1237.32i 0.0328764 0.00270762i
\(677\) −266702. + 461941.i −0.581900 + 1.00788i 0.413354 + 0.910570i \(0.364357\pi\)
−0.995254 + 0.0973098i \(0.968976\pi\)
\(678\) −371448. + 381626.i −0.808051 + 0.830191i
\(679\) −757142. + 437136.i −1.64224 + 0.948150i
\(680\) 113760. + 150625.i 0.246022 + 0.325746i
\(681\) 662971. 158189.i 1.42955 0.341100i
\(682\) −324698. + 619878.i −0.698089 + 1.33272i
\(683\) 175866.i 0.376999i 0.982073 + 0.188500i \(0.0603624\pi\)
−0.982073 + 0.188500i \(0.939638\pi\)
\(684\) −114779. 186946.i −0.245330 0.399581i
\(685\) −637265. −1.35812
\(686\) −257689. 134980.i −0.547581 0.286828i
\(687\) 460330. + 137054.i 0.975339 + 0.290387i
\(688\) −60631.7 + 49832.2i −0.128092 + 0.105277i
\(689\) −174711. 302608.i −0.368028 0.637444i
\(690\) 94508.7 372791.i 0.198506 0.783009i
\(691\) 203114. + 117268.i 0.425386 + 0.245597i 0.697379 0.716702i \(-0.254349\pi\)
−0.271993 + 0.962299i \(0.587683\pi\)
\(692\) −351682. + 28963.7i −0.734409 + 0.0604842i
\(693\) −976160. + 493958.i −2.03261 + 1.02855i
\(694\) −24388.5 593261.i −0.0506368 1.23176i
\(695\) 469869. + 271279.i 0.972762 + 0.561625i
\(696\) −3634.56 9730.18i −0.00750296 0.0200864i
\(697\) −20463.0 35442.9i −0.0421214 0.0729565i
\(698\) 49942.0 + 78835.6i 0.102507 + 0.161812i
\(699\) 369245. 349425.i 0.755720 0.715154i
\(700\) −226348. 106955.i −0.461935 0.218276i
\(701\) 192485. 0.391707 0.195853 0.980633i \(-0.437252\pi\)
0.195853 + 0.980633i \(0.437252\pi\)
\(702\) −339119. 368599.i −0.688141 0.747963i
\(703\) 103213.i 0.208844i
\(704\) 888369. + 252650.i 1.79245 + 0.509770i
\(705\) −482830. 510218.i −0.971441 1.02654i
\(706\) −41472.9 65466.7i −0.0832060 0.131344i
\(707\) 335179. 193516.i 0.670561 0.387148i
\(708\) 355629. 116432.i 0.709464 0.232277i
\(709\) 300439. 520376.i 0.597674 1.03520i −0.395489 0.918471i \(-0.629425\pi\)
0.993164 0.116731i \(-0.0372417\pi\)
\(710\) 6062.18 + 147465.i 0.0120258 + 0.292532i
\(711\) 83695.1 128097.i 0.165562 0.253395i
\(712\) 599365. 74253.1i 1.18231 0.146472i
\(713\) 139207. 241114.i 0.273831 0.474288i
\(714\) −52499.4 + 207085.i −0.102981 + 0.406211i
\(715\) −998522. + 576497.i −1.95320 + 1.12768i
\(716\) 690710. 478415.i 1.34732 0.933209i
\(717\) 123249. 413965.i 0.239743 0.805240i
\(718\) 495808. + 259708.i 0.961755 + 0.503776i
\(719\) 37302.4i 0.0721571i −0.999349 0.0360786i \(-0.988513\pi\)
0.999349 0.0360786i \(-0.0114867\pi\)
\(720\) −67274.7 613622.i −0.129774 1.18368i
\(721\) 967729. 1.86159
\(722\) −188702. + 360249.i −0.361994 + 0.691080i
\(723\) −133998. 561586.i −0.256343 1.07433i
\(724\) 65806.3 + 95007.6i 0.125542 + 0.181251i
\(725\) 2355.23 + 4079.37i 0.00448081 + 0.00776099i
\(726\) −909057. + 933964.i −1.72472 + 1.77197i
\(727\) −647844. 374033.i −1.22575 0.707686i −0.259611 0.965713i \(-0.583594\pi\)
−0.966138 + 0.258027i \(0.916928\pi\)
\(728\) 80955.8 + 653469.i 0.152751 + 1.23300i
\(729\) −87518.5 + 524185.i −0.164682 + 0.986347i
\(730\) −602095. + 24751.7i −1.12985 + 0.0464471i
\(731\) −26303.6 15186.4i −0.0492244 0.0284197i
\(732\) −136230. + 151982.i −0.254243 + 0.283641i
\(733\) 131709. + 228126.i 0.245136 + 0.424588i 0.962170 0.272450i \(-0.0878341\pi\)
−0.717034 + 0.697038i \(0.754501\pi\)
\(734\) 309428. 196021.i 0.574337 0.363840i
\(735\) −73802.7 309307.i −0.136615 0.572552i
\(736\) −349024. 114954.i −0.644317 0.212211i
\(737\) 1.35183e6 2.48878
\(738\) −1881.61 + 133828.i −0.00345475 + 0.245717i
\(739\) 288908.i 0.529018i 0.964383 + 0.264509i \(0.0852099\pi\)
−0.964383 + 0.264509i \(0.914790\pi\)
\(740\) −124083. + 262596.i −0.226594 + 0.479539i
\(741\) 74666.8 250788.i 0.135985 0.456741i
\(742\) 411742. 260837.i 0.747855 0.473763i
\(743\) −271416. + 156702.i −0.491651 + 0.283855i −0.725259 0.688476i \(-0.758280\pi\)
0.233608 + 0.972331i \(0.424947\pi\)
\(744\) 73892.6 440733.i 0.133492 0.796213i
\(745\) 241719. 418670.i 0.435510 0.754326i
\(746\) 342034. 14060.8i 0.614599 0.0252657i
\(747\) −298334. + 456606.i −0.534641 + 0.818276i
\(748\) 29338.1 + 356228.i 0.0524359 + 0.636685i
\(749\) −91802.9 + 159007.i −0.163641 + 0.283435i
\(750\) −105984. 375183.i −0.188416 0.666992i
\(751\) 204539. 118091.i 0.362658 0.209381i −0.307588 0.951520i \(-0.599522\pi\)
0.670246 + 0.742139i \(0.266189\pi\)
\(752\) −518533. + 426174.i −0.916940 + 0.753618i
\(753\) 403524. + 426413.i 0.711671 + 0.752039i
\(754\) 5748.83 10975.0i 0.0101120 0.0193047i
\(755\) 730134.i 1.28088i
\(756\) 494296. 493757.i 0.864856 0.863913i
\(757\) −1.00219e6 −1.74888 −0.874438 0.485137i \(-0.838770\pi\)
−0.874438 + 0.485137i \(0.838770\pi\)
\(758\) −141159. 73940.5i −0.245681 0.128690i
\(759\) 528955. 500562.i 0.918196 0.868909i
\(760\) 257345. 194361.i 0.445542 0.336498i
\(761\) −456412. 790529.i −0.788112 1.36505i −0.927122 0.374759i \(-0.877725\pi\)
0.139010 0.990291i \(-0.455608\pi\)
\(762\) −640181. + 180842.i −1.10254 + 0.311451i
\(763\) 919661. + 530967.i 1.57971 + 0.912049i </