Properties

Label 36.5.f.a.7.8
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 7.8
Character \(\chi\) \(=\) 36.7
Dual form 36.5.f.a.31.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.14060 + 3.37903i) q^{2} +(-6.53699 + 6.18609i) q^{3} +(-6.83568 - 14.4663i) q^{4} +(-14.8847 - 25.7811i) q^{5} +(-6.90992 - 35.3306i) q^{6} +(51.8739 + 29.9494i) q^{7} +(63.5145 + 7.86857i) q^{8} +(4.46449 - 80.8769i) q^{9} +O(q^{10})\) \(q+(-2.14060 + 3.37903i) q^{2} +(-6.53699 + 6.18609i) q^{3} +(-6.83568 - 14.4663i) q^{4} +(-14.8847 - 25.7811i) q^{5} +(-6.90992 - 35.3306i) 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} +(134.175 + 52.2799i) q^{12} +(-85.8824 - 148.753i) q^{13} +(-212.241 + 111.174i) q^{14} +(256.785 + 76.4524i) q^{15} +(-162.547 + 197.774i) q^{16} -99.0725 q^{17} +(263.729 + 188.211i) q^{18} -169.267i q^{19} +(-271.209 + 391.557i) q^{20} +(-524.369 + 125.118i) q^{21} +(798.976 - 418.511i) q^{22} +(-310.777 + 179.427i) q^{23} +(-463.869 + 341.470i) 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} +(-808.009 + 704.031i) q^{30} +(-671.898 + 387.920i) q^{31} +(-320.335 - 972.605i) q^{32} +(1973.97 - 471.003i) q^{33} +(212.075 - 334.769i) q^{34} -1783.15i q^{35} +(-1200.51 + 488.264i) q^{36} +609.762 q^{37} +(571.958 + 362.333i) q^{38} +(1481.61 + 441.118i) q^{39} +(-742.534 - 1754.59i) q^{40} +(206.545 + 357.747i) q^{41} +(699.686 - 2039.68i) 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} +(-160.878 - 2298.38i) q^{48} +(593.432 + 1027.85i) q^{49} +(-484.826 - 925.578i) q^{50} +(647.636 - 612.872i) q^{51} +(-1564.84 + 2259.23i) q^{52} +2034.30 q^{53} +(-2888.28 + 401.120i) q^{54} +6712.63i q^{55} +(3059.08 + 2310.39i) q^{56} +(1047.10 + 1106.50i) q^{57} +(33.4692 + 63.8958i) q^{58} +(2250.48 - 1299.32i) q^{59} +(-649.318 - 4237.33i) 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} +(-2633.95 + 7678.34i) q^{66} +(-5191.93 + 2997.56i) q^{67} +(677.228 + 1433.21i) q^{68} +(921.593 - 3095.41i) q^{69} +(6025.32 + 3817.01i) q^{70} -1239.44i q^{71} +(919.945 - 5101.72i) q^{72} -5060.60 q^{73} +(-1305.25 + 2060.40i) q^{74} +(-545.636 - 2286.76i) q^{75} +(-2448.66 + 1157.05i) q^{76} +(-6753.22 - 11696.9i) q^{77} +(-4662.09 + 4062.15i) 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} +(5394.40 + 6730.41i) q^{84} +(1474.66 + 2554.19i) q^{85} +(1086.28 - 569.004i) q^{86} +(37.6671 + 157.863i) q^{87} +(-11515.8 - 8697.42i) q^{88} +9436.67 q^{89} +(926.745 - 9600.66i) q^{90} -10288.5i q^{91} +(4720.02 + 3269.29i) q^{92} +(1992.48 - 6692.25i) q^{93} +(9290.07 - 4866.22i) q^{94} +(-4363.88 + 2519.49i) q^{95} +(8110.66 + 4376.29i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.14060 + 3.37903i −0.535150 + 0.844757i
\(3\) −6.53699 + 6.18609i −0.726332 + 0.687344i
\(4\) −6.83568 14.4663i −0.427230 0.904143i
\(5\) −14.8847 25.7811i −0.595388 1.03124i −0.993492 0.113902i \(-0.963665\pi\)
0.398104 0.917340i \(-0.369668\pi\)
\(6\) −6.90992 35.3306i −0.191942 0.981406i
\(7\) 51.8739 + 29.9494i 1.05865 + 0.611212i 0.925059 0.379824i \(-0.124016\pi\)
0.133592 + 0.991036i \(0.457349\pi\)
\(8\) 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 \(-0.951600\pi\)
−0.625406 0.780300i \(1.28493\pi\)
\(12\) 134.175 + 52.2799i 0.931768 + 0.363055i
\(13\) −85.8824 148.753i −0.508180 0.880194i −0.999955 0.00947137i \(-0.996985\pi\)
0.491775 0.870722i \(-0.336348\pi\)
\(14\) −212.241 + 111.174i −1.08286 + 0.567213i
\(15\) 256.785 + 76.4524i 1.14127 + 0.339788i
\(16\) −162.547 + 197.774i −0.634949 + 0.772554i
\(17\) −99.0725 −0.342812 −0.171406 0.985201i \(-0.554831\pi\)
−0.171406 + 0.985201i \(0.554831\pi\)
\(18\) 263.729 + 188.211i 0.813977 + 0.580897i
\(19\) 169.267i 0.468884i −0.972130 0.234442i \(-0.924674\pi\)
0.972130 0.234442i \(-0.0753262\pi\)
\(20\) −271.209 + 391.557i −0.678023 + 0.978893i
\(21\) −524.369 + 125.118i −1.18904 + 0.283714i
\(22\) 798.976 418.511i 1.65078 0.864692i
\(23\) −310.777 + 179.427i −0.587480 + 0.339182i −0.764101 0.645097i \(-0.776817\pi\)
0.176620 + 0.984279i \(0.443484\pi\)
\(24\) −463.869 + 341.470i −0.805328 + 0.592829i
\(25\) −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 \(0.163254\pi\)
\(30\) −808.009 + 704.031i −0.897788 + 0.782256i
\(31\) −671.898 + 387.920i −0.699165 + 0.403663i −0.807036 0.590502i \(-0.798930\pi\)
0.107871 + 0.994165i \(0.465597\pi\)
\(32\) −320.335 972.605i −0.312827 0.949810i
\(33\) 1973.97 471.003i 1.81265 0.432510i
\(34\) 212.075 334.769i 0.183455 0.289593i
\(35\) 1783.15i 1.45563i
\(36\) −1200.51 + 488.264i −0.926316 + 0.376747i
\(37\) 609.762 0.445407 0.222703 0.974886i \(-0.428512\pi\)
0.222703 + 0.974886i \(0.428512\pi\)
\(38\) 571.958 + 362.333i 0.396093 + 0.250923i
\(39\) 1481.61 + 441.118i 0.974103 + 0.290019i
\(40\) −742.534 1754.59i −0.464083 1.09662i
\(41\) 206.545 + 357.747i 0.122871 + 0.212818i 0.920899 0.389802i \(-0.127457\pi\)
−0.798028 + 0.602620i \(0.794123\pi\)
\(42\) 699.686 2039.68i 0.396648 1.15628i
\(43\) −265.498 153.286i −0.143590 0.0829019i 0.426484 0.904495i \(-0.359752\pi\)
−0.570074 + 0.821593i \(0.693085\pi\)
\(44\) −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 −0.111504 0.993764i \(-0.535567\pi\)
−0.916377 + 0.400317i \(0.868900\pi\)
\(48\) −160.878 2298.38i −0.0698256 0.997559i
\(49\) 593.432 + 1027.85i 0.247160 + 0.428094i
\(50\) −484.826 925.578i −0.193930 0.370231i
\(51\) 647.636 612.872i 0.248995 0.235629i
\(52\) −1564.84 + 2259.23i −0.578711 + 0.835512i
\(53\) 2034.30 0.724209 0.362104 0.932138i \(-0.382058\pi\)
0.362104 + 0.932138i \(0.382058\pi\)
\(54\) −2888.28 + 401.120i −0.990494 + 0.137558i
\(55\) 6712.63i 2.21905i
\(56\) 3059.08 + 2310.39i 0.975472 + 0.736732i
\(57\) 1047.10 + 1106.50i 0.322284 + 0.340565i
\(58\) 33.4692 + 63.8958i 0.00994922 + 0.0189940i
\(59\) 2250.48 1299.32i 0.646505 0.373260i −0.140611 0.990065i \(-0.544907\pi\)
0.787116 + 0.616805i \(0.211573\pi\)
\(60\) −649.318 4237.33i −0.180366 1.17704i
\(61\) 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
\(66\) −2633.95 + 7678.34i −0.604673 + 1.76271i
\(67\) −5191.93 + 2997.56i −1.15659 + 0.667758i −0.950485 0.310772i \(-0.899412\pi\)
−0.206106 + 0.978530i \(0.566079\pi\)
\(68\) 677.228 + 1433.21i 0.146459 + 0.309951i
\(69\) 921.593 3095.41i 0.193571 0.650160i
\(70\) 6025.32 + 3817.01i 1.22966 + 0.778982i
\(71\) 1239.44i 0.245872i −0.992415 0.122936i \(-0.960769\pi\)
0.992415 0.122936i \(-0.0392310\pi\)
\(72\) 919.945 5101.72i 0.177458 0.984128i
\(73\) −5060.60 −0.949633 −0.474817 0.880085i \(-0.657486\pi\)
−0.474817 + 0.880085i \(0.657486\pi\)
\(74\) −1305.25 + 2060.40i −0.238359 + 0.376260i
\(75\) −545.636 2286.76i −0.0970019 0.406535i
\(76\) −2448.66 + 1157.05i −0.423938 + 0.200321i
\(77\) −6753.22 11696.9i −1.13901 1.97283i
\(78\) −4662.09 + 4062.15i −0.766286 + 0.667677i
\(79\) −1635.99 944.538i −0.262135 0.151344i 0.363173 0.931722i \(-0.381693\pi\)
−0.625308 + 0.780378i \(0.715027\pi\)
\(80\) 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 0.859469 0.511189i \(-0.170795\pi\)
−0.0129681 + 0.999916i \(0.504128\pi\)
\(84\) 5394.40 + 6730.41i 0.764513 + 0.953856i
\(85\) 1474.66 + 2554.19i 0.204106 + 0.353522i
\(86\) 1086.28 569.004i 0.146874 0.0769340i
\(87\) 37.6671 + 157.863i 0.00497649 + 0.0208565i
\(88\) −11515.8 8697.42i −1.48707 1.12312i
\(89\) 9436.67 1.19135 0.595674 0.803226i \(-0.296885\pi\)
0.595674 + 0.803226i \(0.296885\pi\)
\(90\) 926.745 9600.66i 0.114413 1.18527i
\(91\) 10288.5i 1.24242i
\(92\) 4720.02 + 3269.29i 0.557658 + 0.386258i
\(93\) 1992.48 6692.25i 0.230371 0.773760i
\(94\) 9290.07 4866.22i 1.05139 0.550727i
\(95\) −4363.88 + 2519.49i −0.483533 + 0.279168i
\(96\) 8110.66 + 4376.29i 0.880063 + 0.474858i
\(97\) 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 \(0.269243\pi\)
\(102\) 684.583 + 3500.29i 0.0658000 + 0.336437i
\(103\) 13991.6 8078.04i 1.31884 0.761432i 0.335298 0.942112i \(-0.391163\pi\)
0.983542 + 0.180680i \(0.0578298\pi\)
\(104\) −4284.30 10123.7i −0.396108 0.935995i
\(105\) 11030.7 + 11656.4i 1.00052 + 1.05727i
\(106\) −4354.62 + 6873.97i −0.387560 + 0.611780i
\(107\) 3065.27i 0.267732i 0.990999 + 0.133866i \(0.0427392\pi\)
−0.990999 + 0.133866i \(0.957261\pi\)
\(108\) 4827.25 10618.2i 0.413859 0.910341i
\(109\) −17728.8 −1.49220 −0.746098 0.665836i \(-0.768075\pi\)
−0.746098 + 0.665836i \(0.768075\pi\)
\(110\) −22682.2 14369.0i −1.87456 1.18752i
\(111\) −3986.01 + 3772.04i −0.323513 + 0.306147i
\(112\) −14355.1 + 5391.10i −1.14438 + 0.429775i
\(113\) 7396.56 + 12811.2i 0.579259 + 1.00331i 0.995565 + 0.0940814i \(0.0299914\pi\)
−0.416305 + 0.909225i \(0.636675\pi\)
\(114\) −5980.31 + 1169.62i −0.460165 + 0.0899985i
\(115\) 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
\(120\) 15708.0 + 6876.36i 1.09083 + 0.477525i
\(121\) 18101.8 + 31353.3i 1.23638 + 2.14147i
\(122\) 2630.66 + 5022.18i 0.176744 + 0.337421i
\(123\) −3563.24 1060.88i −0.235524 0.0701223i
\(124\) 10204.6 + 7068.17i 0.663673 + 0.459688i
\(125\) −10829.6 −0.693094
\(126\) 8043.83 + 17661.7i 0.506666 + 1.11248i
\(127\) 18478.7i 1.14568i −0.819667 0.572841i \(-0.805841\pi\)
0.819667 0.572841i \(-0.194159\pi\)
\(128\) −11880.3 + 11282.5i −0.725115 + 0.688628i
\(129\) 2683.80 640.372i 0.161276 0.0384816i
\(130\) −9490.49 18118.2i −0.561567 1.07208i
\(131\) −7205.95 + 4160.35i −0.419902 + 0.242431i −0.695036 0.718975i \(-0.744611\pi\)
0.275133 + 0.961406i \(0.411278\pi\)
\(132\) −20307.1 25336.5i −1.16547 1.45411i
\(133\) 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 \(-0.0264938\pi\)
\(138\) 8486.72 + 9740.12i 0.445638 + 0.511454i
\(139\) 15783.6 9112.67i 0.816915 0.471646i −0.0324367 0.999474i \(-0.510327\pi\)
0.849351 + 0.527828i \(0.176993\pi\)
\(140\) −25795.6 + 12189.0i −1.31610 + 0.621890i
\(141\) 22952.3 5476.57i 1.15449 0.275468i
\(142\) 4188.11 + 2653.15i 0.207702 + 0.131578i
\(143\) 38730.8i 1.89402i
\(144\) 15269.6 + 14029.3i 0.736383 + 0.676565i
\(145\) −536.823 −0.0255326
\(146\) 10832.7 17099.9i 0.508196 0.802210i
\(147\) −10237.7 3048.05i −0.473769 0.141055i
\(148\) −4168.13 8820.99i −0.190291 0.402711i
\(149\) 8119.72 + 14063.8i 0.365736 + 0.633474i 0.988894 0.148622i \(-0.0474838\pi\)
−0.623158 + 0.782096i \(0.714150\pi\)
\(150\) 8895.02 + 3051.32i 0.395334 + 0.135614i
\(151\) −21240.4 12263.2i −0.931557 0.537835i −0.0442533 0.999020i \(-0.514091\pi\)
−0.887304 + 0.461186i \(0.847424\pi\)
\(152\) 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
\(156\) −3746.47 24448.8i −0.153947 1.00463i
\(157\) −19827.0 34341.4i −0.804375 1.39322i −0.916712 0.399548i \(-0.869167\pi\)
0.112337 0.993670i \(-0.464166\pi\)
\(158\) 6693.61 3506.17i 0.268131 0.140449i
\(159\) −13298.2 + 12584.4i −0.526016 + 0.497780i
\(160\) −20306.7 + 22735.5i −0.793231 + 0.888106i
\(161\) −21494.9 −0.829248
\(162\) 16399.3 20489.3i 0.624878 0.780723i
\(163\) 25324.6i 0.953162i 0.879130 + 0.476581i \(0.158124\pi\)
−0.879130 + 0.476581i \(0.841876\pi\)
\(164\) 3763.40 5433.39i 0.139924 0.202015i
\(165\) −41525.0 43880.4i −1.52525 1.61177i
\(166\) −23859.6 + 12497.9i −0.865860 + 0.453545i
\(167\) 24109.7 13919.8i 0.864490 0.499113i −0.00102363 0.999999i \(-0.500326\pi\)
0.865513 + 0.500886i \(0.166992\pi\)
\(168\) −34289.5 + 3820.75i −1.21491 + 0.135372i
\(169\) −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 \(0.0465560\pi\)
\(174\) −614.053 210.643i −0.0202818 0.00695741i
\(175\) −13550.4 + 7823.30i −0.442461 + 0.255455i
\(176\) 54039.6 20294.7i 1.74456 0.655174i
\(177\) −6673.69 + 22415.3i −0.213020 + 0.715482i
\(178\) −20200.1 + 31886.8i −0.637550 + 1.00640i
\(179\) 52513.4i 1.63895i −0.573118 0.819473i \(-0.694266\pi\)
0.573118 0.819473i \(-0.305734\pi\)
\(180\) 30457.1 + 23682.7i 0.940035 + 0.730946i
\(181\) −7223.25 −0.220483 −0.110242 0.993905i \(-0.535162\pi\)
−0.110242 + 0.993905i \(0.535162\pi\)
\(182\) 34765.2 + 22023.6i 1.04955 + 0.664882i
\(183\) 2960.61 + 12407.9i 0.0884056 + 0.370508i
\(184\) −21150.7 + 8950.85i −0.624725 + 0.264380i
\(185\) −9076.12 15720.3i −0.265190 0.459322i
\(186\) 18348.2 + 21058.1i 0.530357 + 0.608685i
\(187\) 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 0.620325 0.784345i \(-0.287001\pi\)
−0.369100 + 0.929390i \(0.620334\pi\)
\(192\) −32149.3 + 18038.3i −0.872105 + 0.489319i
\(193\) 19543.2 + 33849.9i 0.524665 + 0.908746i 0.999588 + 0.0287188i \(0.00914273\pi\)
−0.474923 + 0.880028i \(0.657524\pi\)
\(194\) 27090.2 + 51717.8i 0.719796 + 1.37416i
\(195\) −10680.8 44763.4i −0.280890 1.17721i
\(196\) 10812.7 15610.8i 0.281464 0.406363i
\(197\) −10820.0 −0.278802 −0.139401 0.990236i \(-0.544518\pi\)
−0.139401 + 0.990236i \(0.544518\pi\)
\(198\) −30280.8 66487.1i −0.772391 1.69593i
\(199\) 807.389i 0.0203881i −0.999948 0.0101940i \(-0.996755\pi\)
0.999948 0.0101940i \(-0.00324492\pi\)
\(200\) −10075.6 + 13340.6i −0.251889 + 0.333515i
\(201\) 15396.4 51712.8i 0.381090 1.27999i
\(202\) −11992.6 22894.9i −0.293907 0.561095i
\(203\) 935.426 540.068i 0.0226996 0.0131056i
\(204\) −13293.0 5179.50i −0.319421 0.124459i
\(205\) 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
\(210\) −62999.8 + 12321.4i −1.42857 + 0.279397i
\(211\) −52683.9 + 30417.0i −1.18335 + 0.683207i −0.956787 0.290790i \(-0.906082\pi\)
−0.226562 + 0.973997i \(0.572749\pi\)
\(212\) −13905.8 29428.8i −0.309403 0.654788i
\(213\) 7667.31 + 8102.22i 0.168999 + 0.178585i
\(214\) −10357.6 6561.51i −0.226169 0.143277i
\(215\) 9126.44i 0.197435i
\(216\) 25546.1 + 39040.8i 0.547541 + 0.836779i
\(217\) −46471.9 −0.986895
\(218\) 37950.2 59906.1i 0.798549 1.26054i
\(219\) 33081.1 31305.3i 0.689749 0.652724i
\(220\) 97106.9 45885.4i 2.00634 0.948045i
\(221\) 8508.59 + 14737.3i 0.174210 + 0.301741i
\(222\) −4213.40 21543.3i −0.0854923 0.437125i
\(223\) −9292.11 5364.80i −0.186855 0.107881i 0.403654 0.914912i \(-0.367740\pi\)
−0.590509 + 0.807031i \(0.701073\pi\)
\(224\) 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 −0.297272 0.954793i \(-0.596077\pi\)
−0.975511 + 0.219951i \(0.929410\pi\)
\(228\) 8849.25 22711.3i 0.170230 0.436891i
\(229\) 26683.3 + 46216.8i 0.508825 + 0.881311i 0.999948 + 0.0102204i \(0.00325330\pi\)
−0.491123 + 0.871090i \(0.663413\pi\)
\(230\) −37853.0 + 19827.7i −0.715557 + 0.374815i
\(231\) 116504. + 34686.6i 2.18332 + 0.650036i
\(232\) 695.550 920.945i 0.0129227 0.0171103i
\(233\) 56485.5 1.04046 0.520230 0.854026i \(-0.325846\pi\)
0.520230 + 0.854026i \(0.325846\pi\)
\(234\) 5347.18 55394.3i 0.0976546 1.01166i
\(235\) 78050.9i 1.41333i
\(236\) −34179.9 23674.4i −0.613686 0.425065i
\(237\) 16537.4 3945.94i 0.294423 0.0702511i
\(238\) 21027.3 11014.3i 0.371218 0.194447i
\(239\) −41561.8 + 23995.7i −0.727610 + 0.420086i −0.817547 0.575862i \(-0.804667\pi\)
0.0899375 + 0.995947i \(0.471333\pi\)
\(240\) −56860.0 + 38358.3i −0.987152 + 0.665942i
\(241\) 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
\(246\) 11212.2 9769.38i 0.185277 0.161435i
\(247\) −25178.9 + 14537.1i −0.412708 + 0.238277i
\(248\) −45727.6 + 19351.7i −0.743490 + 0.314641i
\(249\) −58948.3 + 14065.4i −0.950764 + 0.226858i
\(250\) 23181.8 36593.5i 0.370909 0.585496i
\(251\) 65230.8i 1.03539i −0.855564 0.517696i \(-0.826790\pi\)
0.855564 0.517696i \(-0.173210\pi\)
\(252\) −76898.1 10626.3i −1.21092 0.167333i
\(253\) 80917.3 1.26415
\(254\) 62440.1 + 39555.5i 0.967823 + 0.613111i
\(255\) −25440.4 7574.33i −0.391240 0.116483i
\(256\) −12692.9 64295.1i −0.193678 0.981065i
\(257\) 21657.9 + 37512.6i 0.327907 + 0.567951i 0.982096 0.188380i \(-0.0603235\pi\)
−0.654190 + 0.756331i \(0.726990\pi\)
\(258\) −3581.10 + 10439.4i −0.0537994 + 0.156833i
\(259\) 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 −0.135868 0.990727i \(-0.543382\pi\)
−0.925929 + 0.377698i \(0.876716\pi\)
\(264\) 129082. 14383.1i 1.85207 0.206370i
\(265\) −30280.0 52446.5i −0.431185 0.746835i
\(266\) 18818.0 + 35925.4i 0.265957 + 0.507736i
\(267\) −61687.4 + 58376.2i −0.865315 + 0.818866i
\(268\) 78854.0 + 54617.6i 1.09788 + 0.760437i
\(269\) −66685.5 −0.921567 −0.460784 0.887513i \(-0.652432\pi\)
−0.460784 + 0.887513i \(0.652432\pi\)
\(270\) 53332.5 + 68492.4i 0.731584 + 0.939539i
\(271\) 122426.i 1.66700i −0.552516 0.833502i \(-0.686332\pi\)
0.552516 0.833502i \(-0.313668\pi\)
\(272\) 16103.9 19593.9i 0.217668 0.264840i
\(273\) 63645.7 + 67255.9i 0.853972 + 0.902412i
\(274\) 39731.4 + 75851.0i 0.529216 + 1.01032i
\(275\) 51010.0 29450.6i 0.674512 0.389430i
\(276\) −51078.8 + 7827.19i −0.670537 + 0.102751i
\(277\) −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 \(0.194929\pi\)
\(282\) −30626.2 + 89279.7i −0.385119 + 1.12268i
\(283\) 99634.2 57523.8i 1.24404 0.718249i 0.274129 0.961693i \(-0.411611\pi\)
0.969915 + 0.243444i \(0.0782773\pi\)
\(284\) −17930.1 + 8472.43i −0.222304 + 0.105044i
\(285\) 12940.9 43465.3i 0.159321 0.535122i
\(286\) −130873. 82907.2i −1.59999 1.01358i
\(287\) 24743.6i 0.300400i
\(288\) −80091.4 + 21565.5i −0.965608 + 0.260001i
\(289\) −73705.6 −0.882480
\(290\) 1149.12 1813.94i 0.0136638 0.0215688i
\(291\) 30488.0 + 127775.i 0.360034 + 1.50890i
\(292\) 34592.6 + 73208.0i 0.405712 + 0.858604i
\(293\) −14259.3 24697.8i −0.166097 0.287689i 0.770947 0.636899i \(-0.219783\pi\)
−0.937044 + 0.349210i \(0.886450\pi\)
\(294\) 32214.2 28068.7i 0.372694 0.324734i
\(295\) −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
\(300\) −29351.2 + 23524.9i −0.326124 + 0.261388i
\(301\) −9181.62 15903.0i −0.101341 0.175528i
\(302\) 86904.8 45521.5i 0.952862 0.499117i
\(303\) −13496.7 56564.9i −0.147009 0.616115i
\(304\) 33476.6 + 27513.8i 0.362238 + 0.297717i
\(305\) −42194.0 −0.453577
\(306\) −26128.3 18646.5i −0.279041 0.199138i
\(307\) 115338.i 1.22376i 0.790952 + 0.611879i \(0.209586\pi\)
−0.790952 + 0.611879i \(0.790414\pi\)
\(308\) −123048. + 177650.i −1.29710 + 1.87268i
\(309\) −41491.3 + 139359.i −0.434550 + 1.45955i
\(310\) −81837.8 + 42867.4i −0.851590 + 0.446070i
\(311\) −85566.6 + 49401.9i −0.884674 + 0.510767i −0.872197 0.489155i \(-0.837305\pi\)
−0.0124776 + 0.999922i \(0.503972\pi\)
\(312\) 90632.7 + 39675.6i 0.931056 + 0.407581i
\(313\) 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 \(0.163318\pi\)
\(318\) −14056.9 71873.2i −0.139006 0.710743i
\(319\) −3521.39 + 2033.08i −0.0346045 + 0.0199789i
\(320\) −33355.5 117285.i −0.325737 1.14536i
\(321\) −18962.0 20037.6i −0.184024 0.194463i
\(322\) 46012.1 72632.1i 0.443772 0.700514i
\(323\) 16769.7i 0.160739i
\(324\) 34129.6 + 99273.0i 0.325118 + 0.945673i
\(325\) 44868.0 0.424785
\(326\) −85572.5 54209.7i −0.805191 0.510084i
\(327\) 115893. 109672.i 1.08383 1.02565i
\(328\) 10303.7 + 24347.3i 0.0957731 + 0.226310i
\(329\) −78522.8 136006.i −0.725444 1.25651i
\(330\) 237161. 46383.7i 2.17779 0.425930i
\(331\) −12334.0 7121.02i −0.112576 0.0649960i 0.442655 0.896692i \(-0.354037\pi\)
−0.555231 + 0.831696i \(0.687370\pi\)
\(332\) 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
\(336\) 60489.6 124044.i 0.535799 1.09874i
\(337\) −37711.8 65318.7i −0.332061 0.575146i 0.650855 0.759202i \(-0.274411\pi\)
−0.982916 + 0.184056i \(0.941077\pi\)
\(338\) −1748.68 3338.39i −0.0153065 0.0292216i
\(339\) −127603. 37991.0i −1.11035 0.330584i
\(340\) 26869.4 38792.6i 0.232434 0.335576i
\(341\) 174942. 1.50448
\(342\) 31857.8 44640.5i 0.272373 0.381661i
\(343\) 72725.3i 0.618155i
\(344\) −15656.8 11824.9i −0.132308 0.0999268i
\(345\) −93520.6 + 22314.6i −0.785722 + 0.187478i
\(346\) 40933.8 + 78146.5i 0.341924 + 0.652765i
\(347\) 128553. 74220.2i 1.06764 0.616401i 0.140103 0.990137i \(-0.455257\pi\)
0.927535 + 0.373736i \(0.121923\pi\)
\(348\) 2026.21 1624.00i 0.0167311 0.0134100i
\(349\) 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 \(0.191437\pi\)
\(354\) −61456.4 70532.8i −0.490411 0.562840i
\(355\) −31954.1 + 18448.7i −0.253554 + 0.146389i
\(356\) −64506.0 136514.i −0.508980 1.07715i
\(357\) 51950.5 12395.7i 0.407618 0.0972603i
\(358\) 177444. + 112410.i 1.38451 + 0.877081i
\(359\) 139927.i 1.08571i 0.839827 + 0.542854i \(0.182656\pi\)
−0.839827 + 0.542854i \(0.817344\pi\)
\(360\) −145221. + 52220.4i −1.12053 + 0.402936i
\(361\) 101670. 0.780148
\(362\) 15462.1 24407.6i 0.117992 0.186255i
\(363\) −312286. 92976.5i −2.36995 0.705603i
\(364\) −148836. + 70328.9i −1.12333 + 0.530800i
\(365\) 75325.5 + 130468.i 0.565400 + 0.979302i
\(366\) −48264.3 16556.4i −0.360300 0.123596i
\(367\) 79304.5 + 45786.5i 0.588797 + 0.339942i 0.764622 0.644479i \(-0.222926\pi\)
−0.175825 + 0.984421i \(0.556259\pi\)
\(368\) 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
\(372\) −110432. + 16922.3i −0.798011 + 0.122285i
\(373\) −42790.4 74115.1i −0.307559 0.532708i 0.670269 0.742118i \(-0.266179\pi\)
−0.977828 + 0.209411i \(0.932845\pi\)
\(374\) −79156.6 + 41462.9i −0.565906 + 0.296426i
\(375\) 70792.9 66992.9i 0.503416 0.476394i
\(376\) −133900. 101129.i −0.947120 0.715319i
\(377\) −3097.38 −0.0217928
\(378\) −161840. 65694.6i −1.13266 0.459776i
\(379\) 39838.1i 0.277345i −0.990338 0.138672i \(-0.955716\pi\)
0.990338 0.138672i \(-0.0442835\pi\)
\(380\) 66277.7 + 45906.8i 0.458987 + 0.317914i
\(381\) 114311. + 120795.i 0.787477 + 0.832146i
\(382\) −37498.2 + 19641.9i −0.256971 + 0.134603i
\(383\) −147816. + 85341.8i −1.00769 + 0.581787i −0.910513 0.413480i \(-0.864313\pi\)
−0.0971722 + 0.995268i \(0.530980\pi\)
\(384\) 7866.84 147246.i 0.0533504 0.998576i
\(385\) −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 \(0.913956\pi\)
\(390\) 174120. + 59729.6i 1.14477 + 0.392700i
\(391\) 30789.5 17776.3i 0.201395 0.116275i
\(392\) 29603.8 + 69953.1i 0.192653 + 0.455234i
\(393\) 21368.9 71772.9i 0.138355 0.464703i
\(394\) 23161.3 36561.2i 0.149201 0.235520i
\(395\) 56236.6i 0.360434i
\(396\) 289481. + 40002.5i 1.84599 + 0.255092i
\(397\) 292553. 1.85620 0.928098 0.372336i \(-0.121443\pi\)
0.928098 + 0.372336i \(0.121443\pi\)
\(398\) 2728.19 + 1728.30i 0.0172230 + 0.0109107i
\(399\) 21178.3 + 88758.3i 0.133029 + 0.557524i
\(400\) −23510.5 62602.5i −0.146941 0.391266i
\(401\) −102157. 176941.i −0.635300 1.10037i −0.986452 0.164053i \(-0.947543\pi\)
0.351152 0.936318i \(-0.385790\pi\)
\(402\) 141782. + 162721.i 0.877340 + 1.00691i
\(403\) 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
\(408\) 45956.7 33830.3i 0.276076 0.203229i
\(409\) −17364.4 30076.0i −0.103804 0.179793i 0.809445 0.587196i \(-0.199768\pi\)
−0.913249 + 0.407402i \(0.866435\pi\)
\(410\) 22824.4 + 43573.9i 0.135779 + 0.259214i
\(411\) 44714.7 + 187400.i 0.264708 + 1.10939i
\(412\) −212501. 147187.i −1.25189 0.867113i
\(413\) 155655. 0.912564
\(414\) −115731. 11171.4i −0.675225 0.0651790i
\(415\) 200458.i 1.16393i
\(416\) −117167. + 131180.i −0.677044 + 0.758023i
\(417\) −46805.5 + 157208.i −0.269169 + 0.904073i
\(418\) −70840.1 135240.i −0.405440 0.774023i
\(419\) 277682. 160320.i 1.58169 0.913187i 0.587073 0.809534i \(-0.300280\pi\)
0.994614 0.103653i \(-0.0330530\pi\)
\(420\) 93222.9 239254.i 0.528474 1.35631i
\(421\) −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
\(426\) −43790.3 + 8564.45i −0.241301 + 0.0471933i
\(427\) 73524.1 42449.2i 0.403250 0.232816i
\(428\) 44343.0 20953.2i 0.242068 0.114383i
\(429\) −239593. 253183.i −1.30184 1.37569i
\(430\) −30838.5 19536.0i −0.166785 0.105657i
\(431\) 31343.0i 0.168728i 0.996435 + 0.0843638i \(0.0268858\pi\)
−0.996435 + 0.0843638i \(0.973114\pi\)
\(432\) −186604. + 2750.26i −0.999891 + 0.0147369i
\(433\) 101022. 0.538815 0.269407 0.963026i \(-0.413172\pi\)
0.269407 + 0.963026i \(0.413172\pi\)
\(434\) 99477.7 157030.i 0.528137 0.833687i
\(435\) 3509.21 3320.84i 0.0185451 0.0175497i
\(436\) 121188. + 256470.i 0.637511 + 1.34916i
\(437\) 30371.1 + 52604.3i 0.159037 + 0.275460i
\(438\) 34968.3 + 178794.i 0.182275 + 0.931976i
\(439\) −157593. 90986.2i −0.817724 0.472113i 0.0319068 0.999491i \(-0.489842\pi\)
−0.849631 + 0.527378i \(0.823175\pi\)
\(440\) −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 0.415696 0.909504i \(-0.363538\pi\)
−0.579806 + 0.814755i \(0.696872\pi\)
\(444\) 81814.5 + 31878.3i 0.415016 + 0.161707i
\(445\) −140462. 243287.i −0.709315 1.22857i
\(446\) 38018.5 19914.4i 0.191128 0.100115i
\(447\) −140078. 41705.3i −0.701061 0.208726i
\(448\) 176116. + 170814.i 0.877493 + 0.851074i
\(449\) −20385.0 −0.101115 −0.0505577 0.998721i \(-0.516100\pi\)
−0.0505577 + 0.998721i \(0.516100\pi\)
\(450\) −77022.4 + 35079.0i −0.380357 + 0.173230i
\(451\) 93146.9i 0.457947i
\(452\) 134770. 194574.i 0.659656 0.952375i
\(453\) 214710. 51231.1i 1.04630 0.249653i
\(454\) 268341. 140559.i 1.30189 0.681943i
\(455\) −265249. + 153141.i −1.28124 + 0.739724i
\(456\) 57799.5 + 78517.7i 0.277968 + 0.377605i
\(457\) 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 \(0.0433344\pi\)
\(462\) −366595. + 319420.i −1.71752 + 1.49651i
\(463\) 85869.5 49576.8i 0.400569 0.231268i −0.286161 0.958182i \(-0.592379\pi\)
0.686729 + 0.726913i \(0.259046\pi\)
\(464\) 1623.01 + 4321.66i 0.00753849 + 0.0200731i
\(465\) −202191. + 48244.0i −0.935095 + 0.223120i
\(466\) −120913. + 190866.i −0.556802 + 0.878936i
\(467\) 278790.i 1.27833i −0.769068 0.639167i \(-0.779279\pi\)
0.769068 0.639167i \(-0.220721\pi\)
\(468\) 175733. + 136645.i 0.802345 + 0.623883i
\(469\) −359101. −1.63257
\(470\) −263736. 167076.i −1.19392 0.756341i
\(471\) 342048. + 101838.i 1.54186 + 0.459057i
\(472\) 153162. 64817.3i 0.687491 0.290943i
\(473\) 34564.0 + 59866.6i 0.154490 + 0.267585i
\(474\) −22066.6 + 64327.1i −0.0982150 + 0.286311i
\(475\) 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 0.559160 0.829060i \(-0.311124\pi\)
−0.438407 + 0.898776i \(0.644457\pi\)
\(480\) −7899.34 274241.i −0.0342853 1.19028i
\(481\) −52367.8 90703.7i −0.226347 0.392044i
\(482\) 119064. + 227305.i 0.512492 + 0.978396i
\(483\) 140512. 132970.i 0.602310 0.569979i
\(484\) 329828. 476187.i 1.40798 2.03276i
\(485\) −434509. −1.84721
\(486\) 19546.6 + 235386.i 0.0827559 + 0.996570i
\(487\) 346823.i 1.46235i 0.682192 + 0.731173i \(0.261027\pi\)
−0.682192 + 0.731173i \(0.738973\pi\)
\(488\) 54670.0 72385.9i 0.229567 0.303959i
\(489\) −156660. 165546.i −0.655150 0.692313i
\(490\) 65577.5 + 125194.i 0.273126 + 0.521423i
\(491\) −207830. + 119991.i −0.862076 + 0.497720i −0.864707 0.502277i \(-0.832496\pi\)
0.00263098 + 0.999997i \(0.499163\pi\)
\(492\) 9010.17 + 58798.7i 0.0372223 + 0.242906i
\(493\) −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
\(498\) 78657.2 229297.i 0.317161 0.924568i
\(499\) −295354. + 170523.i −1.18616 + 0.684828i −0.957431 0.288663i \(-0.906789\pi\)
−0.228726 + 0.973491i \(0.573456\pi\)
\(500\) 74027.6 + 156664.i 0.296110 + 0.626656i
\(501\) −71496.2 + 240139.i −0.284844 + 0.956724i
\(502\) 220417. + 139633.i 0.874655 + 0.554090i
\(503\) 3886.22i 0.0153600i 0.999971 + 0.00768001i \(0.00244465\pi\)
−0.999971 + 0.00768001i \(0.997555\pi\)
\(504\) 200515. 237094.i 0.789378 0.933383i
\(505\) 192353. 0.754250
\(506\) −173211. + 273422.i −0.676512 + 1.06790i
\(507\) −1968.01 8247.92i −0.00765616 0.0320870i
\(508\) −267318. + 126314.i −1.03586 + 0.489469i
\(509\) −98673.1 170907.i −0.380858 0.659666i 0.610327 0.792150i \(-0.291038\pi\)
−0.991185 + 0.132484i \(0.957705\pi\)
\(510\) 80051.5 69750.1i 0.307772 0.268167i
\(511\) −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
\(516\) −27609.4 34447.2i −0.103695 0.129376i
\(517\) 295597. + 511990.i 1.10591 + 1.91549i
\(518\) −129416. + 67789.5i −0.482314 + 0.252640i
\(519\) 46068.0 + 193071.i 0.171027 + 0.716774i
\(520\) −197230. + 261142.i −0.729399 + 0.965763i
\(521\) 229165. 0.844255 0.422127 0.906536i \(-0.361283\pi\)
0.422127 + 0.906536i \(0.361283\pi\)
\(522\) 5317.11 2421.62i 0.0195135 0.00888720i
\(523\) 346673.i 1.26741i 0.773575 + 0.633705i \(0.218467\pi\)
−0.773575 + 0.633705i \(0.781533\pi\)
\(524\) 109442. + 75804.5i 0.398587 + 0.276078i
\(525\) 40182.9 134965.i 0.145788 0.489667i
\(526\) 300492. 157401.i 1.08608 0.568899i
\(527\) 66566.6 38432.2i 0.239682 0.138380i
\(528\) −227712. + 466960.i −0.816803 + 1.67499i
\(529\) −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
\(534\) −65206.7 333404.i −0.228670 1.16920i
\(535\) 79025.8 45625.6i 0.276097 0.159405i
\(536\) −353349. + 149536.i −1.22991 + 0.520493i
\(537\) 324853. + 343280.i 1.12652 + 1.19042i
\(538\) 142747. 225332.i 0.493176 0.778500i
\(539\) 267623.i 0.921184i
\(540\) −345601. + 33597.3i −1.18519 + 0.115217i
\(541\) −287354. −0.981799 −0.490900 0.871216i \(-0.663332\pi\)
−0.490900 + 0.871216i \(0.663332\pi\)
\(542\) 413683. + 262066.i 1.40821 + 0.892097i
\(543\) 47218.3 44683.7i 0.160144 0.151548i
\(544\) 31736.4 + 96358.5i 0.107241 + 0.325606i
\(545\) 263888. + 457067.i 0.888436 + 1.53882i
\(546\) −363499. + 71092.7i −1.21932 + 0.238473i
\(547\) 486589. + 280932.i 1.62625 + 0.938917i 0.985198 + 0.171421i \(0.0548357\pi\)
0.641054 + 0.767496i \(0.278498\pi\)
\(548\) −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
\(552\) 82890.9 189352.i 0.272038 0.621428i
\(553\) −56576.7 97993.6i −0.185006 0.320441i
\(554\) −255115. 487038.i −0.831220 1.58688i
\(555\) 156578. + 46617.7i 0.508328 + 0.151344i
\(556\) −239718. 166039.i −0.775446 0.537107i
\(557\) −393303. −1.26770 −0.633850 0.773456i \(-0.718526\pi\)
−0.633850 + 0.773456i \(0.718526\pi\)
\(558\) −250209. 24152.5i −0.803591 0.0775701i
\(559\) 52658.1i 0.168516i
\(560\) 352660. + 289846.i 1.12455 + 0.924254i
\(561\) −195567. + 46663.4i −0.621397 + 0.148269i
\(562\) −25990.4 49618.0i −0.0822886 0.157097i
\(563\) 481867. 278206.i 1.52023 0.877707i 0.520518 0.853851i \(-0.325739\pi\)
0.999715 0.0238561i \(-0.00759436\pi\)
\(564\) −236120. 294599.i −0.742293 0.926132i
\(565\) 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 \(0.257388\pi\)
\(570\) 119169. + 136769.i 0.366787 + 0.420958i
\(571\) −190279. + 109858.i −0.583604 + 0.336944i −0.762565 0.646912i \(-0.776060\pi\)
0.178960 + 0.983856i \(0.442727\pi\)
\(572\) 560292. 264752.i 1.71247 0.809182i
\(573\) −92644.1 + 22105.5i −0.282168 + 0.0673272i
\(574\) −83609.5 52966.2i −0.253765 0.160759i
\(575\) 93739.0i 0.283521i
\(576\) 98573.0 316794.i 0.297107 0.954844i
\(577\) 9527.81 0.0286181 0.0143091 0.999898i \(-0.495445\pi\)
0.0143091 + 0.999898i \(0.495445\pi\)
\(578\) 157774. 249053.i 0.472259 0.745482i
\(579\) −337153. 100380.i −1.00570 0.299427i
\(580\) 3669.55 + 7765.83i 0.0109083 + 0.0230851i
\(581\) 201670. + 349302.i 0.597432 + 1.03478i
\(582\) −497020. 170496.i −1.46733 0.503348i
\(583\) −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 0.486959 0.873425i \(-0.338106\pi\)
−0.512929 + 0.858431i \(0.671440\pi\)
\(588\) 25887.4 + 168936.i 0.0748745 + 0.488617i
\(589\) 65662.1 + 113730.i 0.189271 + 0.327827i
\(590\) 274111. 143582.i 0.787449 0.412473i
\(591\) 70730.4 66933.7i 0.202503 0.191633i
\(592\) −99115.0 + 120595.i −0.282811 + 0.344101i
\(593\) 143639. 0.408473 0.204236 0.978922i \(-0.434529\pi\)
0.204236 + 0.978922i \(0.434529\pi\)
\(594\) 609241. + 247306.i 1.72670 + 0.700909i
\(595\) 176661.i 0.499008i
\(596\) 147947. 213597.i 0.416498 0.601317i
\(597\) 4994.58 + 5277.89i 0.0140136 + 0.0148085i
\(598\) −218406. + 114403.i −0.610747 + 0.319915i
\(599\) 305650. 176467.i 0.851865 0.491824i −0.00941494 0.999956i \(-0.502997\pi\)
0.861280 + 0.508131i \(0.169664\pi\)
\(600\) −16662.2 149536.i −0.0462839 0.415377i
\(601\) −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
\(606\) 220026. + 75476.8i 0.599139 + 0.205527i
\(607\) −424309. + 244975.i −1.15161 + 0.664881i −0.949279 0.314436i \(-0.898185\pi\)
−0.202330 + 0.979317i \(0.564851\pi\)
\(608\) −164630. + 54222.2i −0.445350 + 0.146680i
\(609\) −2773.96 + 9317.05i −0.00747937 + 0.0251214i
\(610\) 90320.5 142575.i 0.242732 0.383163i
\(611\) 450342.i 1.20631i
\(612\) 118937. 48373.5i 0.317552 0.129153i
\(613\) 284390. 0.756821 0.378410 0.925638i \(-0.376471\pi\)
0.378410 + 0.925638i \(0.376471\pi\)
\(614\) −389730. 246892.i −1.03378 0.654893i
\(615\) 25687.2 + 107655.i 0.0679151 + 0.284632i
\(616\) −336889. 796061.i −0.887821 2.09790i
\(617\) −98237.4 170152.i −0.258052 0.446958i 0.707668 0.706545i \(-0.249747\pi\)
−0.965720 + 0.259586i \(0.916414\pi\)
\(618\) −382083. 438512.i −1.00042 1.14817i
\(619\) 58731.2 + 33908.5i 0.153281 + 0.0884967i 0.574679 0.818379i \(-0.305127\pi\)
−0.421398 + 0.906876i \(0.638460\pi\)
\(620\) 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
\(624\) −328073. + 221321.i −0.842561 + 0.568400i
\(625\) 242826. + 420586.i 0.621634 + 1.07670i
\(626\) 137591. + 262674.i 0.351109 + 0.670300i
\(627\) −79725.2 334129.i −0.202797 0.849921i
\(628\) −361262. + 521571.i −0.916016 + 1.32249i
\(629\) −60410.6 −0.152691
\(630\) 335608. 470268.i 0.845573 1.18485i
\(631\) 716972.i 1.80071i −0.435158 0.900354i \(-0.643308\pi\)
0.435158 0.900354i \(-0.356692\pi\)
\(632\) −96476.7 72864.7i −0.241539 0.182424i
\(633\) 156231. 524743.i 0.389907 1.30960i
\(634\) 3924.74 + 7492.69i 0.00976409 + 0.0186406i
\(635\) −476401. + 275050.i −1.18148 + 0.682125i
\(636\) 272952. + 106353.i 0.674794 + 0.262927i
\(637\) 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 \(0.880697\pi\)
\(642\) 108298. 21180.7i 0.262754 0.0513891i
\(643\) −1326.59 + 765.910i −0.00320861 + 0.00185249i −0.501603 0.865098i \(-0.667256\pi\)
0.498395 + 0.866950i \(0.333923\pi\)
\(644\) 146933. + 310952.i 0.354280 + 0.749759i
\(645\) −56457.0 59659.4i −0.135706 0.143403i
\(646\) −56665.3 35897.2i −0.135785 0.0860192i
\(647\) 106720.i 0.254938i 0.991843 + 0.127469i \(0.0406854\pi\)
−0.991843 + 0.127469i \(0.959315\pi\)
\(648\) −408504. 97178.8i −0.972851 0.231431i
\(649\) −585960. −1.39116
\(650\) −96044.3 + 151610.i −0.227324 + 0.358841i
\(651\) 303786. 287480.i 0.716814 0.678336i
\(652\) 366353. 173111.i 0.861795 0.407219i
\(653\) −114833. 198896.i −0.269301 0.466444i 0.699380 0.714750i \(-0.253459\pi\)
−0.968682 + 0.248306i \(0.920126\pi\)
\(654\) 122505. + 626369.i 0.286416 + 1.46445i
\(655\) 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 0.835753 0.549106i \(-0.185032\pi\)
−0.0576633 + 0.998336i \(0.518365\pi\)
\(660\) −350935. + 900664.i −0.805637 + 2.06764i
\(661\) −223443. 387014.i −0.511403 0.885776i −0.999913 0.0132177i \(-0.995793\pi\)
0.488509 0.872559i \(-0.337541\pi\)
\(662\) 50464.2 26433.6i 0.115151 0.0603171i
\(663\) −146787. 43702.7i −0.333934 0.0994217i
\(664\) 343895. + 259729.i 0.779991 + 0.589094i
\(665\) −301829. −0.682523
\(666\) 160812. + 114764.i 0.362551 + 0.258735i
\(667\) 6471.12i 0.0145455i
\(668\) −366174. 253628.i −0.820605 0.568386i
\(669\) 93929.6 22412.2i 0.209870 0.0500763i
\(670\) −632383. + 331248.i −1.40874 + 0.737909i
\(671\) −276780. + 159799.i −0.614737 + 0.354919i
\(672\) 289664. + 469924.i 0.641440 + 1.04061i
\(673\) −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 \(0.968976\pi\)
\(678\) 401519. 349850.i 0.873467 0.761065i
\(679\) 757142. 437136.i 1.64224 0.948150i
\(680\) 73564.7 + 173832.i 0.159093 + 0.375934i
\(681\) 662971. 158189.i 1.42955 0.341100i
\(682\) −374482. + 591136.i −0.805122 + 1.27092i
\(683\) 175866.i 0.376999i −0.982073 0.188500i \(-0.939638\pi\)
0.982073 0.188500i \(-0.0603624\pi\)
\(684\) 82646.9 + 203206.i 0.176650 + 0.434335i
\(685\) −637265. −1.35812
\(686\) 245741. + 155676.i 0.522191 + 0.330805i
\(687\) −460330. 137054.i −0.975339 0.290387i
\(688\) 73471.8 27592.5i 0.155219 0.0582927i
\(689\) −174711. 302608.i −0.368028 0.637444i
\(690\) 124788. 363776.i 0.262105 0.764074i
\(691\) −203114. 117268.i −0.425386 0.245597i 0.271993 0.962299i \(-0.412317\pi\)
−0.697379 + 0.716702i \(0.745651\pi\)
\(692\) −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
\(696\) 1150.25 + 10322.9i 0.00237451 + 0.0213101i
\(697\) −20463.0 35442.9i −0.0421214 0.0729565i
\(698\) 43302.7 + 82668.8i 0.0888799 + 0.169680i
\(699\) −369245. + 349425.i −0.755720 + 0.715154i
\(700\) 205800. + 142546.i 0.420000 + 0.290910i
\(701\) 192485. 0.391707 0.195853 0.980633i \(-0.437252\pi\)
0.195853 + 0.980633i \(0.437252\pi\)
\(702\) 307720. + 395190.i 0.624427 + 0.801922i
\(703\) 103213.i 0.208844i
\(704\) −662986. 643025.i −1.33770 1.29743i
\(705\) −482830. 510218.i −0.971441 1.02654i
\(706\) −35959.4 68649.9i −0.0721445 0.137731i
\(707\) −335179. + 193516.i −0.670561 + 0.387148i
\(708\) 369886. 56680.4i 0.737906 0.113075i
\(709\) 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
\(714\) −69319.7 + 202077.i −0.135975 + 0.396387i
\(715\) 998522. 576497.i 1.95320 1.12768i
\(716\) −759675. + 358965.i −1.48184 + 0.700206i
\(717\) 123249. 413965.i 0.239743 0.805240i
\(718\) −472818. 299528.i −0.917160 0.581016i
\(719\) 37302.4i 0.0721571i 0.999349 + 0.0360786i \(0.0114867\pi\)
−0.999349 + 0.0360786i \(0.988513\pi\)
\(720\) 134405. 602489.i 0.259269 1.16221i
\(721\) 967729. 1.86159
\(722\) −217634. + 343545.i −0.417496 + 0.659036i
\(723\) 133998. + 561586.i 0.256343 + 1.07433i
\(724\) 49375.8 + 104494.i 0.0941970 + 0.199348i
\(725\) 2355.23 + 4079.37i 0.00448081 + 0.00776099i
\(726\) 982649. 856198.i 1.86434 1.62443i
\(727\) 647844. + 374033.i 1.22575 + 0.707686i 0.966138 0.258027i \(-0.0830723\pi\)
0.259611 + 0.965713i \(0.416406\pi\)
\(728\) 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
\(732\) 159259. 127646.i 0.297223 0.238223i
\(733\) 131709. + 228126.i 0.245136 + 0.424588i 0.962170 0.272450i \(-0.0878341\pi\)
−0.717034 + 0.697038i \(0.754501\pi\)
\(734\) −324473. + 169962.i −0.602263 + 0.315471i
\(735\) 73802.7 + 309307.i 0.136615 + 0.572552i
\(736\) 274065. + 244787.i 0.505938 + 0.451889i
\(737\) 1.35183e6 2.48878
\(738\) −12859.8 + 133222.i −0.0236115 + 0.244604i
\(739\) 288908.i 0.529018i −0.964383 0.264509i \(-0.914790\pi\)
0.964383 0.264509i \(-0.0852099\pi\)
\(740\) −165373. + 238757.i −0.301996 + 0.436006i
\(741\) 74666.8 250788.i 0.135985 0.456741i
\(742\) −431762. + 226161.i −0.784218 + 0.410780i
\(743\) 271416. 156702.i 0.491651 0.283855i −0.233608 0.972331i \(-0.575053\pi\)
0.725259 + 0.688476i \(0.241720\pi\)
\(744\) 179210. 409377.i 0.323754 0.739567i
\(745\) 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
\(750\) 74831.6 + 382616.i 0.133034 + 0.680207i
\(751\) −204539. + 118091.i −0.362658 + 0.209381i −0.670246 0.742139i \(-0.733811\pi\)
0.307588 + 0.951520i \(0.400478\pi\)
\(752\) 628344. 235976.i 1.11112 0.417284i
\(753\) 403524. + 426413.i 0.711671 + 0.752039i
\(754\) 6630.26 10466.2i 0.0116624 0.0184096i
\(755\) 730134.i 1.28088i
\(756\) 568417. 406235.i 0.994543 0.710777i
\(757\) −1.00219e6 −1.74888 −0.874438 0.485137i \(-0.838770\pi\)
−0.874438 + 0.485137i \(0.838770\pi\)
\(758\) 134614. + 85277.4i 0.234289 + 0.148421i
\(759\) −528955. + 500562.i −0.918196 + 0.868909i
\(760\) −296994. + 125686.i −0.514187 + 0.217601i
\(761\) −456412. 790529.i −0.788112 1.36505i −0.927122 0.374759i \(-0.877725\pi\)
0.139010 0.990291i \(-0.455608\pi\)
\(762\) −652864. + 127686.i −1.12438 + 0.219905i
\(763\) −919661. 530967.i −1.57971 0.912049i