Properties

Label 105.4.s.a.26.1
Level $105$
Weight $4$
Character 105.26
Analytic conductor $6.195$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 105 = 3 \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 105.s (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.19520055060\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(16\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 26.1
Character \(\chi\) \(=\) 105.26
Dual form 105.4.s.a.101.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-4.57212 - 2.63971i) q^{2} +(4.83065 - 1.91438i) q^{3} +(9.93617 + 17.2100i) q^{4} +(-2.50000 + 4.33013i) q^{5} +(-27.1397 - 3.99877i) q^{6} +(-17.5731 + 5.84690i) q^{7} -62.6791i q^{8} +(19.6703 - 18.4954i) q^{9} +O(q^{10})\) \(q+(-4.57212 - 2.63971i) q^{2} +(4.83065 - 1.91438i) q^{3} +(9.93617 + 17.2100i) q^{4} +(-2.50000 + 4.33013i) q^{5} +(-27.1397 - 3.99877i) q^{6} +(-17.5731 + 5.84690i) q^{7} -62.6791i q^{8} +(19.6703 - 18.4954i) q^{9} +(22.8606 - 13.1986i) q^{10} +(19.7811 - 11.4206i) q^{11} +(80.9445 + 64.1136i) q^{12} -81.4876i q^{13} +(95.7804 + 19.6552i) q^{14} +(-3.78712 + 25.7033i) q^{15} +(-85.9656 + 148.897i) q^{16} +(-61.9810 - 107.354i) q^{17} +(-138.757 + 32.6390i) q^{18} +(-40.3436 - 23.2924i) q^{19} -99.3617 q^{20} +(-73.6963 + 61.8859i) q^{21} -120.589 q^{22} +(98.1751 + 56.6814i) q^{23} +(-119.992 - 302.781i) q^{24} +(-12.5000 - 21.6506i) q^{25} +(-215.104 + 372.571i) q^{26} +(59.6133 - 127.001i) q^{27} +(-275.234 - 244.336i) q^{28} -80.2506i q^{29} +(85.1644 - 107.521i) q^{30} +(-15.7036 + 9.06650i) q^{31} +(351.836 - 203.132i) q^{32} +(73.6921 - 93.0375i) q^{33} +654.448i q^{34} +(18.6149 - 90.7110i) q^{35} +(513.752 + 154.752i) q^{36} +(-49.5305 + 85.7894i) q^{37} +(122.971 + 212.991i) q^{38} +(-155.998 - 393.638i) q^{39} +(271.409 + 156.698i) q^{40} -142.889 q^{41} +(500.309 - 88.4124i) q^{42} +184.906 q^{43} +(393.097 + 226.954i) q^{44} +(30.9115 + 131.413i) q^{45} +(-299.245 - 518.308i) q^{46} +(60.6901 - 105.118i) q^{47} +(-130.225 + 883.838i) q^{48} +(274.628 - 205.496i) q^{49} +131.986i q^{50} +(-504.925 - 399.936i) q^{51} +(1402.40 - 809.674i) q^{52} +(-200.008 + 115.474i) q^{53} +(-607.805 + 423.302i) q^{54} +114.206i q^{55} +(366.479 + 1101.47i) q^{56} +(-239.476 - 35.2845i) q^{57} +(-211.839 + 366.915i) q^{58} +(-3.91040 - 6.77302i) q^{59} +(-479.981 + 190.216i) q^{60} +(158.777 + 91.6701i) q^{61} +95.7318 q^{62} +(-237.528 + 440.031i) q^{63} -769.395 q^{64} +(352.852 + 203.719i) q^{65} +(-582.521 + 230.852i) q^{66} +(-141.354 - 244.832i) q^{67} +(1231.71 - 2133.38i) q^{68} +(582.759 + 85.8638i) q^{69} +(-324.561 + 365.603i) q^{70} -521.630i q^{71} +(-1159.27 - 1232.92i) q^{72} +(77.7523 - 44.8903i) q^{73} +(452.919 - 261.493i) q^{74} +(-101.831 - 80.6569i) q^{75} -925.750i q^{76} +(-280.840 + 316.354i) q^{77} +(-325.850 + 2211.55i) q^{78} +(-298.997 + 517.878i) q^{79} +(-429.828 - 744.484i) q^{80} +(44.8429 - 727.619i) q^{81} +(653.307 + 377.187i) q^{82} -249.771 q^{83} +(-1797.31 - 653.401i) q^{84} +619.810 q^{85} +(-845.412 - 488.099i) q^{86} +(-153.630 - 387.663i) q^{87} +(-715.834 - 1239.86i) q^{88} +(147.915 - 256.197i) q^{89} +(205.563 - 682.435i) q^{90} +(476.450 + 1431.99i) q^{91} +2252.79i q^{92} +(-58.5020 + 73.8598i) q^{93} +(-554.965 + 320.409i) q^{94} +(201.718 - 116.462i) q^{95} +(1310.72 - 1654.81i) q^{96} +711.047i q^{97} +(-1798.08 + 214.615i) q^{98} +(177.872 - 590.506i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 2q^{3} + 64q^{4} - 80q^{5} - 28q^{6} + 46q^{7} + 100q^{9} + O(q^{10}) \) \( 32q - 2q^{3} + 64q^{4} - 80q^{5} - 28q^{6} + 46q^{7} + 100q^{9} + 36q^{11} + 246q^{12} + 18q^{14} + 20q^{15} - 376q^{16} - 72q^{17} - 442q^{18} - 198q^{19} - 640q^{20} - 218q^{21} + 204q^{22} + 72q^{23} - 50q^{24} - 400q^{25} - 312q^{26} + 508q^{27} + 350q^{28} + 40q^{30} + 510q^{31} + 810q^{32} + 290q^{33} - 70q^{35} - 612q^{36} - 658q^{37} - 192q^{38} - 648q^{39} - 1404q^{41} + 1892q^{42} + 332q^{43} + 2034q^{44} - 490q^{45} - 468q^{46} + 408q^{47} + 2810q^{48} + 980q^{49} - 888q^{51} + 3378q^{52} + 1152q^{53} + 2714q^{54} - 3354q^{56} - 816q^{57} - 1080q^{58} - 48q^{59} - 420q^{60} - 1662q^{61} - 2076q^{62} + 874q^{63} - 1952q^{64} + 870q^{65} - 1892q^{66} - 1298q^{67} + 1182q^{68} + 2450q^{69} - 450q^{70} - 2708q^{72} + 378q^{73} + 2898q^{74} - 50q^{75} - 3528q^{77} - 1896q^{78} - 326q^{79} - 1880q^{80} - 3308q^{81} - 2916q^{82} - 1536q^{83} + 1380q^{84} + 720q^{85} + 5202q^{86} - 1090q^{87} + 1668q^{88} - 1590q^{89} + 910q^{90} + 2082q^{91} - 4950q^{93} - 1152q^{94} + 990q^{95} + 7416q^{96} - 7830q^{98} + 3128q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).

\(n\) \(22\) \(31\) \(71\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.57212 2.63971i −1.61649 0.933279i −0.987819 0.155606i \(-0.950267\pi\)
−0.628668 0.777674i \(-0.716400\pi\)
\(3\) 4.83065 1.91438i 0.929659 0.368422i
\(4\) 9.93617 + 17.2100i 1.24202 + 2.15124i
\(5\) −2.50000 + 4.33013i −0.223607 + 0.387298i
\(6\) −27.1397 3.99877i −1.84662 0.272082i
\(7\) −17.5731 + 5.84690i −0.948858 + 0.315703i
\(8\) 62.6791i 2.77005i
\(9\) 19.6703 18.4954i 0.728530 0.685014i
\(10\) 22.8606 13.1986i 0.722915 0.417375i
\(11\) 19.7811 11.4206i 0.542202 0.313041i −0.203769 0.979019i \(-0.565319\pi\)
0.745971 + 0.665979i \(0.231986\pi\)
\(12\) 80.9445 + 64.1136i 1.94722 + 1.54233i
\(13\) 81.4876i 1.73851i −0.494367 0.869253i \(-0.664600\pi\)
0.494367 0.869253i \(-0.335400\pi\)
\(14\) 95.7804 + 19.6552i 1.82846 + 0.375220i
\(15\) −3.78712 + 25.7033i −0.0651887 + 0.442437i
\(16\) −85.9656 + 148.897i −1.34321 + 2.32651i
\(17\) −61.9810 107.354i −0.884271 1.53160i −0.846547 0.532314i \(-0.821323\pi\)
−0.0377235 0.999288i \(-0.512011\pi\)
\(18\) −138.757 + 32.6390i −1.81697 + 0.427393i
\(19\) −40.3436 23.2924i −0.487130 0.281245i 0.236253 0.971692i \(-0.424081\pi\)
−0.723383 + 0.690447i \(0.757414\pi\)
\(20\) −99.3617 −1.11090
\(21\) −73.6963 + 61.8859i −0.765802 + 0.643076i
\(22\) −120.589 −1.16862
\(23\) 98.1751 + 56.6814i 0.890040 + 0.513865i 0.873956 0.486006i \(-0.161547\pi\)
0.0160847 + 0.999871i \(0.494880\pi\)
\(24\) −119.992 302.781i −1.02055 2.57520i
\(25\) −12.5000 21.6506i −0.100000 0.173205i
\(26\) −215.104 + 372.571i −1.62251 + 2.81027i
\(27\) 59.6133 127.001i 0.424910 0.905235i
\(28\) −275.234 244.336i −1.85766 1.64912i
\(29\) 80.2506i 0.513868i −0.966429 0.256934i \(-0.917288\pi\)
0.966429 0.256934i \(-0.0827123\pi\)
\(30\) 85.1644 107.521i 0.518294 0.654354i
\(31\) −15.7036 + 9.06650i −0.0909825 + 0.0525288i −0.544801 0.838565i \(-0.683395\pi\)
0.453818 + 0.891094i \(0.350061\pi\)
\(32\) 351.836 203.132i 1.94364 1.12216i
\(33\) 73.6921 93.0375i 0.388732 0.490780i
\(34\) 654.448i 3.30109i
\(35\) 18.6149 90.7110i 0.0898999 0.438084i
\(36\) 513.752 + 154.752i 2.37848 + 0.716445i
\(37\) −49.5305 + 85.7894i −0.220075 + 0.381181i −0.954830 0.297151i \(-0.903963\pi\)
0.734756 + 0.678332i \(0.237297\pi\)
\(38\) 122.971 + 212.991i 0.524960 + 0.909257i
\(39\) −155.998 393.638i −0.640504 1.61622i
\(40\) 271.409 + 156.698i 1.07284 + 0.619403i
\(41\) −142.889 −0.544282 −0.272141 0.962257i \(-0.587732\pi\)
−0.272141 + 0.962257i \(0.587732\pi\)
\(42\) 500.309 88.4124i 1.83808 0.324817i
\(43\) 184.906 0.655766 0.327883 0.944718i \(-0.393665\pi\)
0.327883 + 0.944718i \(0.393665\pi\)
\(44\) 393.097 + 226.954i 1.34685 + 0.777606i
\(45\) 30.9115 + 131.413i 0.102400 + 0.435332i
\(46\) −299.245 518.308i −0.959160 1.66131i
\(47\) 60.6901 105.118i 0.188352 0.326236i −0.756349 0.654169i \(-0.773019\pi\)
0.944701 + 0.327933i \(0.106352\pi\)
\(48\) −130.225 + 883.838i −0.391590 + 2.65773i
\(49\) 274.628 205.496i 0.800663 0.599115i
\(50\) 131.986i 0.373312i
\(51\) −504.925 399.936i −1.38635 1.09808i
\(52\) 1402.40 809.674i 3.73995 2.15926i
\(53\) −200.008 + 115.474i −0.518361 + 0.299276i −0.736264 0.676694i \(-0.763412\pi\)
0.217903 + 0.975971i \(0.430079\pi\)
\(54\) −607.805 + 423.302i −1.53170 + 1.06674i
\(55\) 114.206i 0.279992i
\(56\) 366.479 + 1101.47i 0.874514 + 2.62839i
\(57\) −239.476 35.2845i −0.556481 0.0819920i
\(58\) −211.839 + 366.915i −0.479582 + 0.830661i
\(59\) −3.91040 6.77302i −0.00862867 0.0149453i 0.861679 0.507454i \(-0.169413\pi\)
−0.870307 + 0.492509i \(0.836080\pi\)
\(60\) −479.981 + 190.216i −1.03276 + 0.409279i
\(61\) 158.777 + 91.6701i 0.333268 + 0.192412i 0.657291 0.753637i \(-0.271702\pi\)
−0.324023 + 0.946049i \(0.605036\pi\)
\(62\) 95.7318 0.196096
\(63\) −237.528 + 440.031i −0.475011 + 0.879980i
\(64\) −769.395 −1.50273
\(65\) 352.852 + 203.719i 0.673321 + 0.388742i
\(66\) −582.521 + 230.852i −1.08642 + 0.430544i
\(67\) −141.354 244.832i −0.257748 0.446433i 0.707890 0.706323i \(-0.249647\pi\)
−0.965638 + 0.259889i \(0.916314\pi\)
\(68\) 1231.71 2133.38i 2.19657 3.80456i
\(69\) 582.759 + 85.8638i 1.01675 + 0.149809i
\(70\) −324.561 + 365.603i −0.554177 + 0.624256i
\(71\) 521.630i 0.871917i −0.899967 0.435958i \(-0.856409\pi\)
0.899967 0.435958i \(-0.143591\pi\)
\(72\) −1159.27 1232.92i −1.89752 2.01807i
\(73\) 77.7523 44.8903i 0.124661 0.0719728i −0.436373 0.899766i \(-0.643737\pi\)
0.561034 + 0.827793i \(0.310404\pi\)
\(74\) 452.919 261.493i 0.711496 0.410783i
\(75\) −101.831 80.6569i −0.156778 0.124179i
\(76\) 925.750i 1.39725i
\(77\) −280.840 + 316.354i −0.415645 + 0.468206i
\(78\) −325.850 + 2211.55i −0.473016 + 3.21037i
\(79\) −298.997 + 517.878i −0.425820 + 0.737542i −0.996497 0.0836328i \(-0.973348\pi\)
0.570676 + 0.821175i \(0.306681\pi\)
\(80\) −429.828 744.484i −0.600703 1.04045i
\(81\) 44.8429 727.619i 0.0615129 0.998106i
\(82\) 653.307 + 377.187i 0.879825 + 0.507967i
\(83\) −249.771 −0.330312 −0.165156 0.986267i \(-0.552813\pi\)
−0.165156 + 0.986267i \(0.552813\pi\)
\(84\) −1797.31 653.401i −2.33456 0.848713i
\(85\) 619.810 0.790916
\(86\) −845.412 488.099i −1.06004 0.612013i
\(87\) −153.630 387.663i −0.189320 0.477722i
\(88\) −715.834 1239.86i −0.867139 1.50193i
\(89\) 147.915 256.197i 0.176168 0.305132i −0.764397 0.644746i \(-0.776963\pi\)
0.940565 + 0.339614i \(0.110296\pi\)
\(90\) 205.563 682.435i 0.240758 0.799277i
\(91\) 476.450 + 1431.99i 0.548852 + 1.64960i
\(92\) 2252.79i 2.55293i
\(93\) −58.5020 + 73.8598i −0.0652299 + 0.0823538i
\(94\) −554.965 + 320.409i −0.608939 + 0.351571i
\(95\) 201.718 116.462i 0.217851 0.125776i
\(96\) 1310.72 1654.81i 1.39349 1.75930i
\(97\) 711.047i 0.744287i 0.928175 + 0.372144i \(0.121377\pi\)
−0.928175 + 0.372144i \(0.878623\pi\)
\(98\) −1798.08 + 214.615i −1.85340 + 0.221219i
\(99\) 177.872 590.506i 0.180574 0.599475i
\(100\) 248.404 430.249i 0.248404 0.430249i
\(101\) 658.479 + 1140.52i 0.648724 + 1.12362i 0.983428 + 0.181299i \(0.0580303\pi\)
−0.334704 + 0.942323i \(0.608636\pi\)
\(102\) 1252.86 + 3161.41i 1.21619 + 3.06888i
\(103\) 345.828 + 199.664i 0.330830 + 0.191005i 0.656210 0.754579i \(-0.272159\pi\)
−0.325380 + 0.945583i \(0.605492\pi\)
\(104\) −5107.57 −4.81576
\(105\) −83.7329 473.829i −0.0778238 0.440390i
\(106\) 1219.28 1.11723
\(107\) 117.190 + 67.6599i 0.105881 + 0.0611302i 0.552005 0.833841i \(-0.313863\pi\)
−0.446125 + 0.894971i \(0.647196\pi\)
\(108\) 2778.01 235.962i 2.47513 0.210236i
\(109\) 661.521 + 1145.79i 0.581305 + 1.00685i 0.995325 + 0.0965814i \(0.0307908\pi\)
−0.414021 + 0.910268i \(0.635876\pi\)
\(110\) 301.472 522.164i 0.261311 0.452603i
\(111\) −75.0313 + 509.238i −0.0641590 + 0.435448i
\(112\) 640.097 3119.21i 0.540031 2.63159i
\(113\) 1657.94i 1.38023i −0.723702 0.690113i \(-0.757561\pi\)
0.723702 0.690113i \(-0.242439\pi\)
\(114\) 1001.77 + 793.474i 0.823023 + 0.651892i
\(115\) −490.876 + 283.407i −0.398038 + 0.229807i
\(116\) 1381.11 797.384i 1.10546 0.638235i
\(117\) −1507.14 1602.89i −1.19090 1.26655i
\(118\) 41.2894i 0.0322118i
\(119\) 1716.89 + 1524.15i 1.32258 + 1.17411i
\(120\) 1611.06 + 237.374i 1.22557 + 0.180576i
\(121\) −404.639 + 700.855i −0.304011 + 0.526563i
\(122\) −483.966 838.253i −0.359149 0.622065i
\(123\) −690.248 + 273.544i −0.505996 + 0.200526i
\(124\) −312.068 180.173i −0.226004 0.130484i
\(125\) 125.000 0.0894427
\(126\) 2247.56 1384.87i 1.58912 0.979158i
\(127\) 964.257 0.673732 0.336866 0.941553i \(-0.390633\pi\)
0.336866 + 0.941553i \(0.390633\pi\)
\(128\) 703.081 + 405.924i 0.485501 + 0.280304i
\(129\) 893.216 353.980i 0.609638 0.241599i
\(130\) −1075.52 1862.85i −0.725610 1.25679i
\(131\) −0.983079 + 1.70274i −0.000655664 + 0.00113564i −0.866353 0.499432i \(-0.833542\pi\)
0.865697 + 0.500568i \(0.166875\pi\)
\(132\) 2333.39 + 343.802i 1.53860 + 0.226698i
\(133\) 845.151 + 173.435i 0.551007 + 0.113073i
\(134\) 1492.54i 0.962205i
\(135\) 400.897 + 575.636i 0.255583 + 0.366984i
\(136\) −6728.87 + 3884.92i −4.24262 + 2.44948i
\(137\) −2008.77 + 1159.77i −1.25271 + 0.723252i −0.971647 0.236438i \(-0.924020\pi\)
−0.281062 + 0.959689i \(0.590687\pi\)
\(138\) −2437.79 1930.90i −1.50376 1.19108i
\(139\) 2566.73i 1.56624i −0.621869 0.783121i \(-0.713627\pi\)
0.621869 0.783121i \(-0.286373\pi\)
\(140\) 1746.09 580.958i 1.05408 0.350714i
\(141\) 91.9364 623.974i 0.0549109 0.372681i
\(142\) −1376.95 + 2384.95i −0.813742 + 1.40944i
\(143\) −930.638 1611.91i −0.544223 0.942622i
\(144\) 1062.93 + 4518.81i 0.615121 + 2.61505i
\(145\) 347.495 + 200.627i 0.199020 + 0.114904i
\(146\) −473.990 −0.268683
\(147\) 933.231 1518.42i 0.523616 0.851954i
\(148\) −1968.57 −1.09335
\(149\) 2626.76 + 1516.56i 1.44424 + 0.833834i 0.998129 0.0611418i \(-0.0194742\pi\)
0.446114 + 0.894976i \(0.352808\pi\)
\(150\) 252.670 + 637.576i 0.137536 + 0.347053i
\(151\) −1064.37 1843.54i −0.573623 0.993544i −0.996190 0.0872121i \(-0.972204\pi\)
0.422567 0.906332i \(-0.361129\pi\)
\(152\) −1459.95 + 2528.70i −0.779062 + 1.34938i
\(153\) −3204.74 965.331i −1.69339 0.510081i
\(154\) 2119.12 705.070i 1.10885 0.368936i
\(155\) 90.6650i 0.0469831i
\(156\) 5224.46 6595.97i 2.68136 3.38526i
\(157\) 1156.40 667.650i 0.587841 0.339390i −0.176402 0.984318i \(-0.556446\pi\)
0.764243 + 0.644928i \(0.223113\pi\)
\(158\) 2734.10 1578.53i 1.37667 0.794818i
\(159\) −745.105 + 940.706i −0.371639 + 0.469200i
\(160\) 2031.32i 1.00369i
\(161\) −2056.65 422.048i −1.00675 0.206597i
\(162\) −2125.73 + 3208.39i −1.03095 + 1.55602i
\(163\) −1046.10 + 1811.91i −0.502683 + 0.870672i 0.497313 + 0.867571i \(0.334320\pi\)
−0.999995 + 0.00310028i \(0.999013\pi\)
\(164\) −1419.77 2459.12i −0.676010 1.17088i
\(165\) 218.634 + 551.690i 0.103155 + 0.260297i
\(166\) 1141.98 + 659.323i 0.533945 + 0.308273i
\(167\) −138.003 −0.0639462 −0.0319731 0.999489i \(-0.510179\pi\)
−0.0319731 + 0.999489i \(0.510179\pi\)
\(168\) 3878.95 + 4619.22i 1.78136 + 2.12131i
\(169\) −4443.23 −2.02241
\(170\) −2833.84 1636.12i −1.27851 0.738145i
\(171\) −1224.37 + 288.001i −0.547545 + 0.128795i
\(172\) 1837.26 + 3182.23i 0.814475 + 1.41071i
\(173\) −2041.35 + 3535.73i −0.897117 + 1.55385i −0.0659546 + 0.997823i \(0.521009\pi\)
−0.831162 + 0.556030i \(0.812324\pi\)
\(174\) −320.904 + 2177.98i −0.139814 + 0.948920i
\(175\) 346.253 + 307.382i 0.149567 + 0.132777i
\(176\) 3927.12i 1.68192i
\(177\) −31.8559 25.2321i −0.0135279 0.0107150i
\(178\) −1352.57 + 780.907i −0.569548 + 0.328829i
\(179\) 3703.34 2138.12i 1.54637 0.892798i 0.547956 0.836507i \(-0.315406\pi\)
0.998414 0.0562907i \(-0.0179274\pi\)
\(180\) −1954.48 + 1837.73i −0.809323 + 0.760980i
\(181\) 3354.33i 1.37749i −0.725005 0.688744i \(-0.758162\pi\)
0.725005 0.688744i \(-0.241838\pi\)
\(182\) 1601.66 7804.91i 0.652322 3.17878i
\(183\) 942.489 + 138.866i 0.380715 + 0.0560945i
\(184\) 3552.74 6153.53i 1.42343 2.46546i
\(185\) −247.653 428.947i −0.0984204 0.170469i
\(186\) 462.447 183.267i 0.182302 0.0722461i
\(187\) −2452.10 1415.72i −0.958907 0.553625i
\(188\) 2412.11 0.935751
\(189\) −305.028 + 2580.35i −0.117394 + 0.993085i
\(190\) −1229.71 −0.469538
\(191\) 3213.54 + 1855.34i 1.21740 + 0.702867i 0.964361 0.264589i \(-0.0852361\pi\)
0.253040 + 0.967456i \(0.418569\pi\)
\(192\) −3716.68 + 1472.91i −1.39702 + 0.553637i
\(193\) 1089.62 + 1887.28i 0.406387 + 0.703882i 0.994482 0.104910i \(-0.0334553\pi\)
−0.588095 + 0.808792i \(0.700122\pi\)
\(194\) 1876.96 3250.99i 0.694628 1.20313i
\(195\) 2094.50 + 308.603i 0.769180 + 0.113331i
\(196\) 6265.33 + 2684.48i 2.28328 + 0.978309i
\(197\) 4134.87i 1.49542i 0.664027 + 0.747708i \(0.268846\pi\)
−0.664027 + 0.747708i \(0.731154\pi\)
\(198\) −2372.02 + 2230.33i −0.851373 + 0.800519i
\(199\) 4211.51 2431.52i 1.50023 0.866159i 0.500231 0.865892i \(-0.333248\pi\)
1.00000 0.000266556i \(-8.48473e-5\pi\)
\(200\) −1357.04 + 783.489i −0.479787 + 0.277005i
\(201\) −1151.53 912.094i −0.404094 0.320070i
\(202\) 6952.78i 2.42176i
\(203\) 469.218 + 1410.25i 0.162230 + 0.487588i
\(204\) 1865.85 12663.6i 0.640371 4.34621i
\(205\) 357.223 618.729i 0.121705 0.210800i
\(206\) −1054.11 1825.78i −0.356522 0.617514i
\(207\) 2979.48 700.843i 1.00043 0.235323i
\(208\) 12133.2 + 7005.13i 4.04466 + 2.33518i
\(209\) −1064.06 −0.352164
\(210\) −867.935 + 2387.43i −0.285206 + 0.784516i
\(211\) 1239.32 0.404353 0.202176 0.979349i \(-0.435199\pi\)
0.202176 + 0.979349i \(0.435199\pi\)
\(212\) −3974.62 2294.75i −1.28763 0.743415i
\(213\) −998.597 2519.81i −0.321233 0.810585i
\(214\) −357.205 618.698i −0.114103 0.197632i
\(215\) −462.265 + 800.667i −0.146634 + 0.253977i
\(216\) −7960.31 3736.51i −2.50755 1.17702i
\(217\) 222.951 251.144i 0.0697460 0.0785658i
\(218\) 6984.90i 2.17008i
\(219\) 289.657 365.697i 0.0893754 0.112838i
\(220\) −1965.48 + 1134.77i −0.602331 + 0.347756i
\(221\) −8748.04 + 5050.68i −2.66270 + 1.53731i
\(222\) 1687.29 2130.24i 0.510107 0.644018i
\(223\) 2133.15i 0.640566i 0.947322 + 0.320283i \(0.103778\pi\)
−0.947322 + 0.320283i \(0.896222\pi\)
\(224\) −4995.15 + 5626.81i −1.48997 + 1.67838i
\(225\) −646.315 194.683i −0.191501 0.0576838i
\(226\) −4376.48 + 7580.28i −1.28814 + 2.23112i
\(227\) 249.194 + 431.617i 0.0728617 + 0.126200i 0.900154 0.435571i \(-0.143453\pi\)
−0.827293 + 0.561771i \(0.810120\pi\)
\(228\) −1772.23 4471.97i −0.514777 1.29896i
\(229\) −2861.25 1651.94i −0.825662 0.476696i 0.0267032 0.999643i \(-0.491499\pi\)
−0.852365 + 0.522947i \(0.824832\pi\)
\(230\) 2992.45 0.857898
\(231\) −751.018 + 2065.83i −0.213911 + 0.588404i
\(232\) −5030.04 −1.42344
\(233\) −2803.48 1618.59i −0.788250 0.455097i 0.0510959 0.998694i \(-0.483729\pi\)
−0.839346 + 0.543597i \(0.817062\pi\)
\(234\) 2659.67 + 11307.0i 0.743026 + 3.15881i
\(235\) 303.451 + 525.592i 0.0842338 + 0.145897i
\(236\) 77.7089 134.596i 0.0214340 0.0371247i
\(237\) −452.935 + 3074.08i −0.124141 + 0.842544i
\(238\) −3826.49 11500.7i −1.04216 3.13226i
\(239\) 2748.28i 0.743812i 0.928270 + 0.371906i \(0.121296\pi\)
−0.928270 + 0.371906i \(0.878704\pi\)
\(240\) −3501.57 2773.49i −0.941772 0.745949i
\(241\) 2093.51 1208.69i 0.559564 0.323064i −0.193407 0.981119i \(-0.561954\pi\)
0.752970 + 0.658055i \(0.228620\pi\)
\(242\) 3700.11 2136.26i 0.982861 0.567455i
\(243\) −1176.32 3600.72i −0.310538 0.950561i
\(244\) 3643.40i 0.955921i
\(245\) 203.256 + 1702.91i 0.0530023 + 0.444062i
\(246\) 3877.97 + 571.381i 1.00508 + 0.148089i
\(247\) −1898.04 + 3287.51i −0.488946 + 0.846879i
\(248\) 568.280 + 984.290i 0.145507 + 0.252026i
\(249\) −1206.55 + 478.155i −0.307077 + 0.121694i
\(250\) −571.515 329.964i −0.144583 0.0834751i
\(251\) 4697.48 1.18128 0.590642 0.806934i \(-0.298875\pi\)
0.590642 + 0.806934i \(0.298875\pi\)
\(252\) −9933.03 + 284.383i −2.48302 + 0.0710890i
\(253\) 2589.35 0.643442
\(254\) −4408.70 2545.36i −1.08908 0.628780i
\(255\) 2994.08 1186.55i 0.735282 0.291391i
\(256\) 934.536 + 1618.66i 0.228158 + 0.395182i
\(257\) 988.555 1712.23i 0.239939 0.415587i −0.720757 0.693187i \(-0.756206\pi\)
0.960697 + 0.277601i \(0.0895392\pi\)
\(258\) −5018.30 739.397i −1.21095 0.178422i
\(259\) 368.803 1797.18i 0.0884798 0.431165i
\(260\) 8096.74i 1.93130i
\(261\) −1484.27 1578.56i −0.352007 0.374368i
\(262\) 8.98950 5.19009i 0.00211975 0.00122384i
\(263\) 2624.70 1515.37i 0.615384 0.355292i −0.159685 0.987168i \(-0.551048\pi\)
0.775070 + 0.631876i \(0.217715\pi\)
\(264\) −5831.51 4618.96i −1.35949 1.07681i
\(265\) 1154.74i 0.267681i
\(266\) −3406.31 3023.92i −0.785167 0.697024i
\(267\) 224.069 1520.76i 0.0513589 0.348573i
\(268\) 2809.04 4865.39i 0.640258 1.10896i
\(269\) 967.823 + 1676.32i 0.219365 + 0.379951i 0.954614 0.297846i \(-0.0962681\pi\)
−0.735249 + 0.677797i \(0.762935\pi\)
\(270\) −313.437 3690.13i −0.0706487 0.831756i
\(271\) −6346.80 3664.33i −1.42266 0.821373i −0.426134 0.904660i \(-0.640125\pi\)
−0.996526 + 0.0832869i \(0.973458\pi\)
\(272\) 21312.9 4.75105
\(273\) 5042.93 + 6005.33i 1.11799 + 1.33135i
\(274\) 12245.8 2.69998
\(275\) −494.527 285.515i −0.108440 0.0626081i
\(276\) 4312.68 + 10882.4i 0.940554 + 2.37335i
\(277\) −598.638 1036.87i −0.129851 0.224908i 0.793768 0.608221i \(-0.208117\pi\)
−0.923619 + 0.383313i \(0.874783\pi\)
\(278\) −6775.44 + 11735.4i −1.46174 + 2.53181i
\(279\) −141.207 + 468.785i −0.0303006 + 0.100593i
\(280\) −5685.69 1166.77i −1.21352 0.249027i
\(281\) 6772.52i 1.43777i −0.695127 0.718887i \(-0.744652\pi\)
0.695127 0.718887i \(-0.255348\pi\)
\(282\) −2067.46 + 2610.20i −0.436579 + 0.551188i
\(283\) 2389.53 1379.59i 0.501918 0.289782i −0.227587 0.973758i \(-0.573084\pi\)
0.729505 + 0.683975i \(0.239750\pi\)
\(284\) 8977.23 5183.00i 1.87571 1.08294i
\(285\) 751.477 948.752i 0.156188 0.197190i
\(286\) 9826.47i 2.03165i
\(287\) 2511.01 835.460i 0.516446 0.171831i
\(288\) 3163.71 10503.0i 0.647304 2.14894i
\(289\) −5226.79 + 9053.07i −1.06387 + 1.84268i
\(290\) −1059.19 1834.58i −0.214476 0.371483i
\(291\) 1361.21 + 3434.82i 0.274212 + 0.691933i
\(292\) 1545.12 + 892.076i 0.309662 + 0.178783i
\(293\) 6421.81 1.28043 0.640215 0.768195i \(-0.278845\pi\)
0.640215 + 0.768195i \(0.278845\pi\)
\(294\) −8275.04 + 4478.94i −1.64153 + 0.888493i
\(295\) 39.1040 0.00771771
\(296\) 5377.20 + 3104.53i 1.05589 + 0.609619i
\(297\) −271.214 3193.04i −0.0529881 0.623835i
\(298\) −8006.56 13867.8i −1.55640 2.69577i
\(299\) 4618.83 8000.05i 0.893358 1.54734i
\(300\) 376.295 2553.92i 0.0724180 0.491502i
\(301\) −3249.37 + 1081.13i −0.622228 + 0.207027i
\(302\) 11238.5i 2.14140i
\(303\) 5364.26 + 4248.87i 1.01706 + 0.805581i
\(304\) 6936.33 4004.69i 1.30864 0.755542i
\(305\) −793.887 + 458.351i −0.149042 + 0.0860495i
\(306\) 12104.3 + 12873.2i 2.26129 + 2.40494i
\(307\) 3912.61i 0.727376i −0.931521 0.363688i \(-0.881517\pi\)
0.931521 0.363688i \(-0.118483\pi\)
\(308\) −8234.90 1689.90i −1.52346 0.312632i
\(309\) 2052.81 + 302.461i 0.377929 + 0.0556842i
\(310\) −239.330 + 414.531i −0.0438484 + 0.0759477i
\(311\) −1760.26 3048.85i −0.320949 0.555899i 0.659735 0.751498i \(-0.270668\pi\)
−0.980684 + 0.195599i \(0.937335\pi\)
\(312\) −24672.9 + 9777.82i −4.47701 + 1.77423i
\(313\) 3886.21 + 2243.71i 0.701795 + 0.405181i 0.808016 0.589161i \(-0.200542\pi\)
−0.106221 + 0.994343i \(0.533875\pi\)
\(314\) −7049.61 −1.26698
\(315\) −1311.57 2128.60i −0.234599 0.380740i
\(316\) −11883.5 −2.11551
\(317\) −8592.16 4960.69i −1.52235 0.878927i −0.999651 0.0264080i \(-0.991593\pi\)
−0.522696 0.852519i \(-0.675074\pi\)
\(318\) 5889.90 2334.16i 1.03865 0.411613i
\(319\) −916.512 1587.45i −0.160861 0.278620i
\(320\) 1923.49 3331.58i 0.336020 0.582003i
\(321\) 695.632 + 102.495i 0.120954 + 0.0178215i
\(322\) 8289.17 + 7358.62i 1.43459 + 1.27354i
\(323\) 5774.75i 0.994785i
\(324\) 12967.9 6458.01i 2.22357 1.10734i
\(325\) −1764.26 + 1018.59i −0.301118 + 0.173851i
\(326\) 9565.83 5522.83i 1.62516 0.938287i
\(327\) 5389.04 + 4268.50i 0.911360 + 0.721860i
\(328\) 8956.18i 1.50769i
\(329\) −451.897 + 2202.10i −0.0757261 + 0.369015i
\(330\) 456.684 3099.52i 0.0761807 0.517039i
\(331\) −1552.51 + 2689.03i −0.257806 + 0.446533i −0.965654 0.259832i \(-0.916333\pi\)
0.707848 + 0.706365i \(0.249666\pi\)
\(332\) −2481.76 4298.54i −0.410254 0.710581i
\(333\) 612.425 + 2603.59i 0.100783 + 0.428456i
\(334\) 630.968 + 364.289i 0.103368 + 0.0596797i
\(335\) 1413.54 0.230537
\(336\) −2879.26 16293.2i −0.467490 2.64544i
\(337\) 2692.44 0.435213 0.217606 0.976037i \(-0.430175\pi\)
0.217606 + 0.976037i \(0.430175\pi\)
\(338\) 20314.9 + 11728.8i 3.26919 + 1.88747i
\(339\) −3173.92 8008.91i −0.508506 1.28314i
\(340\) 6158.54 + 10666.9i 0.982334 + 1.70145i
\(341\) −207.090 + 358.690i −0.0328873 + 0.0569624i
\(342\) 6358.22 + 1915.22i 1.00530 + 0.302817i
\(343\) −3624.54 + 5216.93i −0.570574 + 0.821247i
\(344\) 11589.8i 1.81651i
\(345\) −1828.70 + 2308.76i −0.285373 + 0.360289i
\(346\) 18666.6 10777.2i 2.90036 1.67452i
\(347\) −4898.94 + 2828.41i −0.757893 + 0.437570i −0.828539 0.559932i \(-0.810827\pi\)
0.0706455 + 0.997501i \(0.477494\pi\)
\(348\) 5145.16 6495.85i 0.792556 1.00061i
\(349\) 2330.14i 0.357391i 0.983904 + 0.178695i \(0.0571876\pi\)
−0.983904 + 0.178695i \(0.942812\pi\)
\(350\) −771.707 2319.40i −0.117856 0.354220i
\(351\) −10349.0 4857.74i −1.57376 0.738710i
\(352\) 4639.79 8036.36i 0.702562 1.21687i
\(353\) 451.562 + 782.129i 0.0680856 + 0.117928i 0.898059 0.439876i \(-0.144978\pi\)
−0.829973 + 0.557804i \(0.811644\pi\)
\(354\) 79.0435 + 199.454i 0.0118675 + 0.0299460i
\(355\) 2258.72 + 1304.07i 0.337692 + 0.194966i
\(356\) 5878.84 0.875219
\(357\) 11211.5 + 4075.86i 1.66211 + 0.604250i
\(358\) −22576.1 −3.33292
\(359\) 3835.49 + 2214.42i 0.563870 + 0.325551i 0.754697 0.656073i \(-0.227784\pi\)
−0.190827 + 0.981624i \(0.561117\pi\)
\(360\) 8236.88 1937.51i 1.20589 0.283654i
\(361\) −2344.43 4060.67i −0.341803 0.592020i
\(362\) −8854.47 + 15336.4i −1.28558 + 2.22669i
\(363\) −612.967 + 4160.22i −0.0886293 + 0.601528i
\(364\) −19910.4 + 22428.2i −2.86700 + 3.22955i
\(365\) 448.903i 0.0643744i
\(366\) −3942.60 3122.81i −0.563068 0.445989i
\(367\) −8326.41 + 4807.26i −1.18429 + 0.683751i −0.957004 0.290076i \(-0.906319\pi\)
−0.227288 + 0.973828i \(0.572986\pi\)
\(368\) −16879.4 + 9745.31i −2.39103 + 1.38046i
\(369\) −2810.68 + 2642.79i −0.396526 + 0.372841i
\(370\) 2614.93i 0.367415i
\(371\) 2839.59 3198.67i 0.397369 0.447619i
\(372\) −1852.41 272.934i −0.258180 0.0380403i
\(373\) 3913.27 6777.99i 0.543221 0.940887i −0.455495 0.890238i \(-0.650538\pi\)
0.998717 0.0506487i \(-0.0161289\pi\)
\(374\) 7474.20 + 12945.7i 1.03337 + 1.78986i
\(375\) 603.831 239.297i 0.0831512 0.0329527i
\(376\) −6588.73 3804.01i −0.903691 0.521746i
\(377\) −6539.43 −0.893363
\(378\) 8206.02 10992.5i 1.11659 1.49575i
\(379\) 9262.69 1.25539 0.627695 0.778460i \(-0.283999\pi\)
0.627695 + 0.778460i \(0.283999\pi\)
\(380\) 4008.61 + 2314.37i 0.541151 + 0.312434i
\(381\) 4657.99 1845.95i 0.626341 0.248218i
\(382\) −9795.13 16965.7i −1.31194 2.27235i
\(383\) 6230.70 10791.9i 0.831263 1.43979i −0.0657745 0.997835i \(-0.520952\pi\)
0.897037 0.441955i \(-0.145715\pi\)
\(384\) 4173.43 + 614.913i 0.554621 + 0.0817179i
\(385\) −667.752 2006.96i −0.0883943 0.265673i
\(386\) 11505.1i 1.51709i
\(387\) 3637.16 3419.91i 0.477745 0.449208i
\(388\) −12237.1 + 7065.08i −1.60114 + 0.924421i
\(389\) −5734.47 + 3310.80i −0.747428 + 0.431528i −0.824764 0.565477i \(-0.808692\pi\)
0.0773360 + 0.997005i \(0.475359\pi\)
\(390\) −8761.66 6939.84i −1.13760 0.901058i
\(391\) 14052.7i 1.81758i
\(392\) −12880.3 17213.4i −1.65958 2.21788i
\(393\) −1.48922 + 10.1073i −0.000191148 + 0.00129732i
\(394\) 10914.9 18905.1i 1.39564 2.41732i
\(395\) −1494.99 2589.39i −0.190433 0.329839i
\(396\) 11929.9 2806.20i 1.51389 0.356103i
\(397\) −1778.23 1026.66i −0.224803 0.129790i 0.383369 0.923595i \(-0.374764\pi\)
−0.608172 + 0.793805i \(0.708097\pi\)
\(398\) −25674.0 −3.23347
\(399\) 4414.65 780.137i 0.553907 0.0978840i
\(400\) 4298.28 0.537285
\(401\) 2382.58 + 1375.58i 0.296709 + 0.171305i 0.640963 0.767572i \(-0.278535\pi\)
−0.344255 + 0.938876i \(0.611868\pi\)
\(402\) 2857.28 + 7209.92i 0.354498 + 0.894522i
\(403\) 738.807 + 1279.65i 0.0913216 + 0.158174i
\(404\) −13085.5 + 22664.8i −1.61146 + 2.79113i
\(405\) 3038.58 + 2013.22i 0.372810 + 0.247007i
\(406\) 1577.34 7686.44i 0.192813 0.939585i
\(407\) 2262.68i 0.275569i
\(408\) −25067.6 + 31648.3i −3.04174 + 3.84025i
\(409\) −7509.49 + 4335.60i −0.907873 + 0.524161i −0.879746 0.475443i \(-0.842288\pi\)
−0.0281271 + 0.999604i \(0.508954\pi\)
\(410\) −3266.53 + 1885.93i −0.393470 + 0.227170i
\(411\) −7483.45 + 9447.97i −0.898130 + 1.13390i
\(412\) 7935.59i 0.948928i
\(413\) 108.319 + 96.1592i 0.0129057 + 0.0114569i
\(414\) −15472.6 4660.64i −1.83680 0.553280i
\(415\) 624.427 1081.54i 0.0738600 0.127929i
\(416\) −16552.8 28670.2i −1.95088 3.37902i
\(417\) −4913.70 12399.0i −0.577038 1.45607i
\(418\) 4864.98 + 2808.80i 0.569268 + 0.328667i
\(419\) −7554.83 −0.880854 −0.440427 0.897788i \(-0.645173\pi\)
−0.440427 + 0.897788i \(0.645173\pi\)
\(420\) 7322.59 6149.08i 0.850728 0.714392i
\(421\) 2761.22 0.319653 0.159826 0.987145i \(-0.448907\pi\)
0.159826 + 0.987145i \(0.448907\pi\)
\(422\) −5666.33 3271.45i −0.653631 0.377374i
\(423\) −750.409 3190.20i −0.0862556 0.366697i
\(424\) 7237.84 + 12536.3i 0.829011 + 1.43589i
\(425\) −1549.53 + 2683.86i −0.176854 + 0.306320i
\(426\) −2085.88 + 14156.9i −0.237233 + 1.61010i
\(427\) −3326.20 682.573i −0.376969 0.0773584i
\(428\) 2689.12i 0.303700i
\(429\) −7581.40 6004.99i −0.853224 0.675813i
\(430\) 4227.06 2440.50i 0.474063 0.273700i
\(431\) 1699.59 981.258i 0.189945 0.109665i −0.402012 0.915634i \(-0.631689\pi\)
0.591957 + 0.805970i \(0.298356\pi\)
\(432\) 13785.3 + 19793.9i 1.53530 + 2.20448i
\(433\) 7219.75i 0.801291i −0.916233 0.400646i \(-0.868786\pi\)
0.916233 0.400646i \(-0.131214\pi\)
\(434\) −1682.30 + 559.734i −0.186067 + 0.0619081i
\(435\) 2062.70 + 303.919i 0.227354 + 0.0334984i
\(436\) −13146.0 + 22769.5i −1.44399 + 2.50106i
\(437\) −2640.50 4573.47i −0.289044 0.500638i
\(438\) −2289.68 + 907.396i −0.249783 + 0.0989887i
\(439\) −5262.67 3038.41i −0.572150 0.330331i 0.185858 0.982577i \(-0.440494\pi\)
−0.758008 + 0.652246i \(0.773827\pi\)
\(440\) 7158.34 0.775592
\(441\) 1601.28 9121.51i 0.172906 0.984938i
\(442\) 53329.4 5.73896
\(443\) 8091.59 + 4671.68i 0.867817 + 0.501034i 0.866622 0.498965i \(-0.166286\pi\)
0.00119476 + 0.999999i \(0.499620\pi\)
\(444\) −9509.49 + 3768.59i −1.01644 + 0.402814i
\(445\) 739.576 + 1280.98i 0.0787849 + 0.136459i
\(446\) 5630.90 9753.01i 0.597827 1.03547i
\(447\) 15592.2 + 2297.36i 1.64986 + 0.243090i
\(448\) 13520.7 4498.58i 1.42587 0.474415i
\(449\) 14573.0i 1.53172i −0.643009 0.765859i \(-0.722314\pi\)
0.643009 0.765859i \(-0.277686\pi\)
\(450\) 2441.12 + 2596.20i 0.255724 + 0.271969i
\(451\) −2826.51 + 1631.88i −0.295111 + 0.170382i
\(452\) 28533.0 16473.5i 2.96920 1.71427i
\(453\) −8670.82 6867.89i −0.899317 0.712321i
\(454\) 2631.21i 0.272001i
\(455\) −7391.82 1516.88i −0.761613 0.156292i
\(456\) −2211.60 + 15010.2i −0.227122 + 1.54148i
\(457\) 3972.95 6881.34i 0.406666 0.704367i −0.587847 0.808972i \(-0.700024\pi\)
0.994514 + 0.104605i \(0.0333578\pi\)
\(458\) 8721.30 + 15105.7i 0.889781 + 1.54115i
\(459\) −17329.0 + 1471.91i −1.76220 + 0.149680i
\(460\) −9754.85 5631.96i −0.988744 0.570851i
\(461\) 11895.0 1.20174 0.600871 0.799346i \(-0.294820\pi\)
0.600871 + 0.799346i \(0.294820\pi\)
\(462\) 8886.93 7462.73i 0.894930 0.751510i
\(463\) 15537.4 1.55958 0.779791 0.626040i \(-0.215325\pi\)
0.779791 + 0.626040i \(0.215325\pi\)
\(464\) 11949.1 + 6898.79i 1.19552 + 0.690234i
\(465\) −173.567 437.971i −0.0173096 0.0436783i
\(466\) 8545.24 + 14800.8i 0.849465 + 1.47132i
\(467\) −328.286 + 568.607i −0.0325294 + 0.0563426i −0.881832 0.471564i \(-0.843690\pi\)
0.849302 + 0.527907i \(0.177023\pi\)
\(468\) 12610.4 41864.4i 1.24554 4.13501i
\(469\) 3915.54 + 3475.98i 0.385507 + 0.342230i
\(470\) 3204.09i 0.314455i
\(471\) 4308.04 5438.97i 0.421453 0.532091i
\(472\) −424.527 + 245.101i −0.0413992 + 0.0239019i
\(473\) 3657.64 2111.74i 0.355557 0.205281i
\(474\) 10185.6 12859.4i 0.987001 1.24610i
\(475\) 1164.62i 0.112498i
\(476\) −9171.26 + 44691.8i −0.883117 + 4.30345i
\(477\) −1798.47 + 5970.63i −0.172634 + 0.573116i
\(478\) 7254.66 12565.4i 0.694185 1.20236i
\(479\) −7465.88 12931.3i −0.712160 1.23350i −0.964045 0.265740i \(-0.914384\pi\)
0.251885 0.967757i \(-0.418950\pi\)
\(480\) 3888.72 + 9812.61i 0.369781 + 0.933088i
\(481\) 6990.77 + 4036.12i 0.662685 + 0.382601i
\(482\) −12762.4 −1.20604
\(483\) −10742.9 + 1898.44i −1.01205 + 0.178845i
\(484\) −16082.2 −1.51035
\(485\) −3078.92 1777.62i −0.288261 0.166428i
\(486\) −4126.60 + 19568.1i −0.385157 + 1.82639i
\(487\) 5784.98 + 10019.9i 0.538280 + 0.932328i 0.998997 + 0.0447811i \(0.0142590\pi\)
−0.460717 + 0.887547i \(0.652408\pi\)
\(488\) 5745.81 9952.03i 0.532993 0.923170i
\(489\) −1584.69 + 10755.3i −0.146548 + 0.994627i
\(490\) 3565.89 8322.45i 0.328756 0.767286i
\(491\) 5236.74i 0.481325i −0.970609 0.240663i \(-0.922635\pi\)
0.970609 0.240663i \(-0.0773648\pi\)
\(492\) −11566.1 9161.15i −1.05984 0.839465i
\(493\) −8615.25 + 4974.02i −0.787041 + 0.454398i
\(494\) 17356.1 10020.6i 1.58075 0.912646i
\(495\) 2112.28 + 2246.47i 0.191798 + 0.203983i
\(496\) 3117.63i 0.282229i
\(497\) 3049.92 + 9166.65i 0.275267 + 0.827325i
\(498\) 6778.70 + 998.774i 0.609961 + 0.0898718i
\(499\) 2817.80 4880.57i 0.252790 0.437844i −0.711503 0.702683i \(-0.751985\pi\)
0.964293 + 0.264838i \(0.0853186\pi\)
\(500\) 1242.02 + 2151.24i 0.111090 + 0.192413i
\(501\) −666.646 + 264.191i −0.0594482 + 0.0235592i
\(502\) −21477.4 12400.0i −1.90953 1.10247i
\(503\) 8869.17 0.786196 0.393098 0.919497i \(-0.371403\pi\)
0.393098 + 0.919497i \(0.371403\pi\)
\(504\) 27580.8 + 14888.0i 2.43759 + 1.31581i
\(505\) −6584.79 −0.580236
\(506\) −11838.8 6835.14i −1.04012 0.600512i
\(507\) −21463.7 + 8506.01i −1.88015 + 0.745099i
\(508\) 9581.02 + 16594.8i 0.836789 + 1.44936i
\(509\) −367.145 + 635.914i −0.0319714 + 0.0553760i −0.881568 0.472056i \(-0.843512\pi\)
0.849597 + 0.527432i \(0.176845\pi\)
\(510\) −16821.5 2478.48i −1.46052 0.215194i
\(511\) −1103.88 + 1243.47i −0.0955631 + 0.107648i
\(512\) 16362.4i 1.41235i
\(513\) −5363.18 + 3735.15i −0.461579 + 0.321463i
\(514\) −9039.58 + 5219.00i −0.775717 + 0.447861i
\(515\) −1729.14 + 998.321i −0.147952 + 0.0854199i
\(516\) 14967.1 + 11855.0i 1.27692 + 1.01141i
\(517\) 2772.48i 0.235848i
\(518\) −6430.26 + 7243.41i −0.545424 + 0.614396i
\(519\) −3092.34 + 20987.8i −0.261539 + 1.77507i
\(520\) 12768.9 22116.4i 1.07684 1.86513i
\(521\) 9867.30 + 17090.7i 0.829740 + 1.43715i 0.898242 + 0.439500i \(0.144844\pi\)
−0.0685029 + 0.997651i \(0.521822\pi\)
\(522\) 2619.30 + 11135.4i 0.219624 + 0.933682i
\(523\) 12016.7 + 6937.83i 1.00469 + 0.580057i 0.909632 0.415414i \(-0.136363\pi\)
0.0950566 + 0.995472i \(0.469697\pi\)
\(524\) −39.0722 −0.00325739
\(525\) 2261.07 + 821.998i 0.187964 + 0.0683332i
\(526\) −16000.6 −1.32635
\(527\) 1946.65 + 1123.90i 0.160906 + 0.0928993i
\(528\) 7517.99 + 18970.5i 0.619656 + 1.56361i
\(529\) 342.071 + 592.485i 0.0281147 + 0.0486961i
\(530\) −3048.19 + 5279.63i −0.249821 + 0.432703i
\(531\) −202.188 60.9031i −0.0165240 0.00497734i
\(532\) 5412.77 + 16268.3i 0.441115 + 1.32579i
\(533\) 11643.7i 0.946238i
\(534\) −5038.84 + 6361.62i −0.408337 + 0.515532i
\(535\) −585.952 + 338.299i −0.0473512 + 0.0273382i
\(536\) −15345.9 + 8859.95i −1.23664 + 0.713977i
\(537\) 13796.3 17418.1i 1.10867 1.39971i
\(538\) 10219.1i 0.818916i
\(539\) 3085.54 7201.36i 0.246574 0.575481i
\(540\) −5923.28 + 12619.0i −0.472032 + 1.00562i
\(541\) −3390.71 + 5872.88i −0.269460 + 0.466719i −0.968723 0.248146i \(-0.920179\pi\)
0.699262 + 0.714865i \(0.253512\pi\)
\(542\) 19345.6 + 33507.5i 1.53314 + 2.65548i
\(543\) −6421.45 16203.6i −0.507497 1.28059i
\(544\) −43614.2 25180.7i −3.43740 1.98458i
\(545\) −6615.21 −0.519935
\(546\) −7204.51 40769.0i −0.564697 3.19551i
\(547\) −19082.3 −1.49159 −0.745796 0.666175i \(-0.767931\pi\)
−0.745796 + 0.666175i \(0.767931\pi\)
\(548\) −39919.0 23047.3i −3.11178 1.79659i
\(549\) 4818.67 1133.46i 0.374601 0.0881149i
\(550\) 1507.36 + 2610.82i 0.116862 + 0.202410i
\(551\) −1869.23 + 3237.60i −0.144523 + 0.250320i
\(552\) 5381.87 36526.8i 0.414978 2.81646i
\(553\) 2226.32 10848.9i 0.171199 0.834256i
\(554\) 6320.93i 0.484748i
\(555\) −2017.49 1597.99i −0.154302 0.122218i
\(556\) 44173.4 25503.5i 3.36937 1.94531i
\(557\) −13945.3 + 8051.34i −1.06083 + 0.612471i −0.925662 0.378351i \(-0.876491\pi\)
−0.135169 + 0.990823i \(0.543158\pi\)
\(558\) 1883.08 1770.60i 0.142862 0.134328i
\(559\) 15067.6i 1.14005i
\(560\) 11906.3 + 10569.7i 0.898454 + 0.797594i
\(561\) −14555.5 2144.61i −1.09542 0.161400i
\(562\) −17877.5 + 30964.8i −1.34185 + 2.32414i
\(563\) −11500.5 19919.4i −0.860901 1.49112i −0.871060 0.491176i \(-0.836567\pi\)
0.0101593 0.999948i \(-0.496766\pi\)
\(564\) 11652.1 4617.69i 0.869929 0.344751i
\(565\) 7179.07 + 4144.84i 0.534559 + 0.308628i
\(566\) −14566.9 −1.08179
\(567\) 3466.29 + 13048.7i 0.256738 + 0.966481i
\(568\) −32695.3 −2.41526
\(569\) 4603.80 + 2658.01i 0.339194 + 0.195834i 0.659916 0.751340i \(-0.270592\pi\)
−0.320722 + 0.947174i \(0.603925\pi\)
\(570\) −5940.28 + 2354.12i −0.436510 + 0.172988i
\(571\) 10401.8 + 18016.5i 0.762351 + 1.32043i 0.941636 + 0.336634i \(0.109288\pi\)
−0.179284 + 0.983797i \(0.557378\pi\)
\(572\) 18494.0 32032.5i 1.35187 2.34151i
\(573\) 19075.3 + 2810.56i 1.39072 + 0.204909i
\(574\) −13686.0 2808.52i −0.995196 0.204225i
\(575\) 2834.07i 0.205546i
\(576\) −15134.3 + 14230.2i −1.09478 + 1.02939i
\(577\) 16003.9 9239.88i 1.15468 0.666657i 0.204660 0.978833i \(-0.434391\pi\)
0.950024 + 0.312176i \(0.101058\pi\)
\(578\) 47795.0 27594.5i 3.43946 1.98577i
\(579\) 8876.54 + 7030.83i 0.637126 + 0.504648i
\(580\) 7973.84i 0.570855i
\(581\) 4389.24 1460.38i 0.313419 0.104280i
\(582\) 2843.31 19297.6i 0.202507 1.37442i
\(583\) −2637.58 + 4568.42i −0.187371 + 0.324536i
\(584\) −2813.69 4873.45i −0.199368 0.345316i
\(585\) 10708.6 2518.90i 0.756828 0.178024i
\(586\) −29361.3 16951.7i −2.06980 1.19500i
\(587\) −7168.49 −0.504047 −0.252023 0.967721i \(-0.581096\pi\)
−0.252023 + 0.967721i \(0.581096\pi\)
\(588\) 35404.7 + 973.576i 2.48310 + 0.0682816i
\(589\) 844.723 0.0590937
\(590\) −178.788 103.223i −0.0124756 0.00720278i
\(591\) 7915.70 + 19974.1i 0.550945 + 1.39023i
\(592\) −8515.84 14749.9i −0.591214 1.02401i
\(593\) 2789.62 4831.76i 0.193180 0.334598i −0.753122 0.657881i \(-0.771453\pi\)
0.946302 + 0.323283i \(0.104786\pi\)
\(594\) −7188.68 + 15314.9i −0.496558 + 1.05787i
\(595\) −10892.0 + 3623.97i −0.750467 + 0.249694i
\(596\) 60275.1i 4.14256i
\(597\) 15689.5 19808.2i 1.07559 1.35795i
\(598\) −42235.7 + 24384.8i −2.88820 + 1.66751i
\(599\) −6806.71 + 3929.86i −0.464298 + 0.268063i −0.713850 0.700299i \(-0.753050\pi\)
0.249552 + 0.968361i \(0.419717\pi\)
\(600\) −5055.50 + 6382.65i −0.343983 + 0.434285i
\(601\) 15257.2i 1.03553i 0.855523 + 0.517765i \(0.173236\pi\)
−0.855523 + 0.517765i \(0.826764\pi\)
\(602\) 17710.4 + 3634.37i 1.19904 + 0.246056i
\(603\) −7308.74 2201.54i −0.493590 0.148679i
\(604\) 21151.5 36635.4i 1.42490 2.46800i
\(605\) −2023.19 3504.28i −0.135958 0.235486i
\(606\) −13310.3 33586.4i −0.892231 2.25141i
\(607\) 21018.6 + 12135.1i 1.40547 + 0.811446i 0.994947 0.100406i \(-0.0320141\pi\)
0.410519 + 0.911852i \(0.365347\pi\)
\(608\) −18925.8 −1.26240
\(609\) 4966.38 + 5914.17i 0.330456 + 0.393521i
\(610\) 4839.66 0.321233
\(611\) −8565.84 4945.49i −0.567164 0.327452i
\(612\) −15229.6 64745.1i −1.00591 4.27642i
\(613\) 11791.0 + 20422.6i 0.776891 + 1.34562i 0.933725 + 0.357990i \(0.116538\pi\)
−0.156834 + 0.987625i \(0.550129\pi\)
\(614\) −10328.2 + 17888.9i −0.678845 + 1.17579i
\(615\) 541.139 3672.72i 0.0354810 0.240810i
\(616\) 19828.8 + 17602.8i 1.29695 + 1.15136i
\(617\) 7543.65i 0.492213i 0.969243 + 0.246107i \(0.0791514\pi\)
−0.969243 + 0.246107i \(0.920849\pi\)
\(618\) −8587.27 6801.71i −0.558949 0.442726i
\(619\) −11948.9 + 6898.68i −0.775873 + 0.447951i −0.834966 0.550302i \(-0.814513\pi\)
0.0590924 + 0.998253i \(0.481179\pi\)
\(620\) 1560.34 900.863i 0.101072 0.0583541i
\(621\) 13051.1 9089.38i 0.843356 0.587350i
\(622\) 18586.3i 1.19814i
\(623\) −1101.37 + 5367.01i −0.0708275 + 0.345144i
\(624\) 72021.8 + 10611.7i 4.62048 + 0.680783i
\(625\) −312.500 + 541.266i −0.0200000 + 0.0346410i
\(626\) −11845.5 20517.0i −0.756295 1.30994i
\(627\) −5140.08 + 2037.00i −0.327392 + 0.129745i
\(628\) 22980.4 + 13267.8i 1.46022 + 0.843059i
\(629\) 12279.8 0.778423
\(630\) 377.755 + 13194.4i 0.0238891 + 0.834409i
\(631\) 23863.9 1.50556 0.752778 0.658274i \(-0.228713\pi\)
0.752778 + 0.658274i \(0.228713\pi\)
\(632\) 32460.2 + 18740.9i 2.04303 + 1.17954i
\(633\) 5986.73 2372.53i 0.375910 0.148973i
\(634\) 26189.6 + 45361.7i 1.64057 + 2.84155i
\(635\) −2410.64 + 4175.35i −0.150651 + 0.260935i
\(636\) −23593.0 3476.20i −1.47095 0.216730i
\(637\) −16745.4 22378.7i −1.04156 1.39196i
\(638\) 9677.31i 0.600515i
\(639\) −9647.74 10260.6i −0.597275 0.635218i
\(640\) −3515.40 + 2029.62i −0.217123 + 0.125356i
\(641\) −25450.5 + 14693.8i −1.56823 + 0.905416i −0.571850 + 0.820358i \(0.693774\pi\)
−0.996376 + 0.0850581i \(0.972892\pi\)
\(642\) −2909.95 2304.89i −0.178889 0.141692i
\(643\) 21497.6i 1.31848i 0.751933 + 0.659240i \(0.229122\pi\)
−0.751933 + 0.659240i \(0.770878\pi\)
\(644\) −13171.8 39588.4i −0.805966 2.42236i
\(645\) −700.262 + 4752.69i −0.0427485 + 0.290135i
\(646\) 15243.7 26402.8i 0.928413 1.60806i
\(647\) 3685.84 + 6384.07i 0.223965 + 0.387919i 0.956008 0.293339i \(-0.0947665\pi\)
−0.732043 + 0.681258i \(0.761433\pi\)
\(648\) −45606.6 2810.71i −2.76481 0.170394i
\(649\) −154.704 89.3185i −0.00935696 0.00540224i
\(650\) 10755.2 0.649005
\(651\) 596.211 1640.00i 0.0358946 0.0987353i
\(652\) −41577.1 −2.49737
\(653\) 5473.18 + 3159.94i 0.327997 + 0.189369i 0.654952 0.755671i \(-0.272689\pi\)
−0.326954 + 0.945040i \(0.606022\pi\)
\(654\) −13371.7 33741.6i −0.799505 2.01743i
\(655\) −4.91539 8.51371i −0.000293222 0.000507875i
\(656\) 12283.6 21275.8i 0.731086 1.26628i
\(657\) 699.150 2321.06i 0.0415166 0.137829i
\(658\) 7879.05 8875.40i 0.466804 0.525835i
\(659\) 9869.38i 0.583393i −0.956511 0.291697i \(-0.905780\pi\)
0.956511 0.291697i \(-0.0942198\pi\)
\(660\) −7322.17 + 9244.36i −0.431841 + 0.545206i
\(661\) −3165.66 + 1827.69i −0.186278 + 0.107548i −0.590239 0.807229i \(-0.700966\pi\)
0.403961 + 0.914776i \(0.367633\pi\)
\(662\) 14196.5 8196.37i 0.833480 0.481210i
\(663\) −32589.8 + 41145.1i −1.90902 + 2.41017i
\(664\) 15655.4i 0.914981i
\(665\) −2863.87 + 3226.03i −0.167002 + 0.188120i
\(666\) 4072.65 13520.5i 0.236955 0.786652i
\(667\) 4548.72 7878.62i 0.264059 0.457363i
\(668\) −1371.22 2375.03i −0.0794226 0.137564i
\(669\) 4083.65 + 10304.5i 0.235999 + 0.595508i
\(670\) −6462.87 3731.34i −0.372660 0.215156i
\(671\) 4187.72 0.240932
\(672\) −13357.9 + 36743.7i −0.766807 + 2.10926i
\(673\) 7632.51 0.437165 0.218582 0.975819i \(-0.429857\pi\)
0.218582 + 0.975819i \(0.429857\pi\)
\(674\) −12310.2 7107.27i −0.703516 0.406175i
\(675\) −3494.82 + 296.847i −0.199282 + 0.0169269i
\(676\) −44148.6 76467.7i −2.51187 4.35069i
\(677\) 7174.90 12427.3i 0.407317 0.705494i −0.587271 0.809390i \(-0.699798\pi\)
0.994588 + 0.103896i \(0.0331311\pi\)
\(678\) −6629.70 + 44995.9i −0.375534 + 2.54876i
\(679\) −4157.42 12495.3i −0.234974 0.706223i
\(680\) 38849.2i 2.19088i
\(681\) 2030.05 + 1607.94i 0.114231 + 0.0904792i
\(682\) 1893.68 1093.32i 0.106324 0.0613860i
\(683\) 18683.4 10786.9i 1.04671 0.604316i 0.124981 0.992159i \(-0.460113\pi\)
0.921725 + 0.387843i \(0.126780\pi\)
\(684\) −17122.1 18209.8i −0.957133 1.01794i
\(685\) 11597.7i 0.646896i
\(686\) 30343.0 14284.7i 1.68878 0.795030i
\(687\) −16984.1 2502.44i −0.943209 0.138973i
\(688\) −15895.6 + 27531.9i −0.880832 + 1.52565i
\(689\) 9409.73 + 16298.1i 0.520294 + 0.901175i
\(690\) 14455.5 5728.69i 0.797553 0.316069i
\(691\) −349.979 202.060i −0.0192675 0.0111241i 0.490335 0.871534i \(-0.336874\pi\)
−0.509603 + 0.860410i \(0.670208\pi\)
\(692\) −81132.9 −4.45695
\(693\) 326.869 + 11417.0i 0.0179173 + 0.625825i
\(694\) 29864.7 1.63350
\(695\) 11114.3 + 6416.84i 0.606603 + 0.350222i
\(696\) −24298.4 + 9629.40i −1.32331 + 0.524427i
\(697\) 8856.42 + 15339.8i 0.481293 + 0.833623i
\(698\) 6150.89 10653.7i 0.333545 0.577718i
\(699\) −16641.2 2451.92i −0.900471 0.132676i
\(700\) −1849.61 + 9013.20i −0.0998696 + 0.486667i
\(701\) 15196.5i 0.818778i −0.912360 0.409389i \(-0.865742\pi\)
0.912360 0.409389i \(-0.134258\pi\)
\(702\) 34493.8 + 49528.6i 1.85454 + 2.66287i
\(703\) 3996.48 2307.37i 0.214410 0.123790i
\(704\) −15219.5 + 8786.97i −0.814781 + 0.470414i
\(705\) 2472.04 + 1958.03i 0.132060 + 0.104601i
\(706\) 4767.98i 0.254172i
\(707\) −18240.0 16192.4i −0.970278 0.861354i
\(708\) 117.717 798.949i 0.00624871 0.0424101i
\(709\) −13807.9 + 23916.0i −0.731407 + 1.26683i 0.224875 + 0.974388i \(0.427803\pi\)
−0.956282 + 0.292446i \(0.905531\pi\)
\(710\) −6884.77 11924.8i −0.363916 0.630322i
\(711\) 3696.98 + 15716.9i 0.195003 + 0.829014i
\(712\) −16058.2 9271.20i −0.845233 0.487996i
\(713\) −2055.61 −0.107971
\(714\) −40501.1 48230.4i −2.12285 2.52798i
\(715\) 9306.38 0.486768
\(716\) 73594.0 + 42489.5i 3.84125 + 2.21775i
\(717\) 5261.24 + 13276.0i 0.274037 + 0.691492i
\(718\) −11690.9 20249.2i −0.607659 1.05250i
\(719\) −8037.96 + 13922.2i −0.416920 + 0.722126i −0.995628 0.0934085i \(-0.970224\pi\)
0.578708 + 0.815535i \(0.303557\pi\)
\(720\) −22224.4 6694.41i −1.15035 0.346508i
\(721\) −7244.69 1486.69i −0.374212 0.0767924i
\(722\) 24754.5i 1.27599i
\(723\) 7799.12 9846.52i 0.401179 0.506495i
\(724\) 57727.8 33329.2i 2.96331 1.71087i
\(725\) −1737.48 + 1003.13i −0.0890045 + 0.0513868i
\(726\) 13784.3 17402.9i 0.704662 0.889647i
\(727\) 19683.3i 1.00414i 0.864826 + 0.502072i \(0.167429\pi\)
−0.864826 + 0.502072i \(0.832571\pi\)
\(728\) 89755.8 29863.5i 4.56947 1.52035i
\(729\) −12575.5 15141.9i −0.638902 0.769288i
\(730\) 1184.98 2052.44i 0.0600793 0.104060i
\(731\) −11460.7 19850.5i −0.579874 1.00437i
\(732\) 6974.84 + 17600.0i 0.352183 + 0.888681i
\(733\) −11805.4 6815.87i −0.594876 0.343452i 0.172147 0.985071i \(-0.444929\pi\)
−0.767023 + 0.641620i \(0.778263\pi\)
\(734\) 50759.1 2.55252
\(735\) 4241.88 + 7837.06i 0.212876 + 0.393299i
\(736\) 46055.3 2.30655
\(737\) −5592.27 3228.70i −0.279503 0.161371i
\(738\) 19827.0 4663.76i 0.988944 0.232623i
\(739\) −11651.8 20181.6i −0.580000 1.00459i −0.995479 0.0949864i \(-0.969719\pi\)
0.415479 0.909603i \(-0.363614\pi\)
\(740\) 4921.44 8524.18i 0.244481 0.423453i
\(741\) −2875.25 + 19514.4i −0.142544 + 0.967446i
\(742\) −21426.5 + 7129.00i −1.06010 + 0.352714i
\(743\) 26593.1i 1.31306i 0.754299 + 0.656531i \(0.227977\pi\)
−0.754299 + 0.656531i \(0.772023\pi\)
\(744\) 4629.47 + 3666.86i 0.228124 + 0.180690i
\(745\) −13133.8 + 7582.79i −0.645885 + 0.372902i
\(746\) −35783.9 + 20659.8i −1.75622 + 1.01395i
\(747\) −4913.07 + 4619.60i −0.240642 + 0.226268i
\(748\) 56267.4i 2.75046i
\(749\) −2455.00 503.793i −0.119765 0.0245770i
\(750\) −3392.46 499.846i −0.165167 0.0243357i
\(751\) 3266.12 5657.09i 0.158698 0.274874i −0.775701 0.631100i \(-0.782604\pi\)
0.934400 + 0.356227i \(0.115937\pi\)
\(752\) 10434.5 + 18073.1i 0.505995 + 0.876408i
\(753\) 22691.9 8992.75i 1.09819 0.435211i
\(754\) 29899.0 + 17262.2i 1.44411 + 0.833757i
\(755\) 10643.7 0.513064
\(756\) −47438.6 + 20389.3i −2.28217 + 0.980890i
\(757\) 2578.50 0.123801 0.0619003 0.998082i \(-0.480284\pi\)
0.0619003 + 0.998082i \(0.480284\pi\)
\(758\) −42350.1 24450.9i −2.02932 1.17163i
\(759\) 12508.2 4956.99i 0.598182 0.237058i
\(760\) −7299.74 12643.5i −0.348407 0.603459i
\(761\) 15252.2 26417.5i 0.726532 1.25839i −0.231808 0.972761i \(-0.574464\pi\)
0.958340 0.285629i \(-0.0922024\pi\)
\(762\) −26169.6 3855.84i −1.24413 0.183310i
\(763\) −18324.3 16267.2i −0.869441 0.771837i
\(764\) 73739.9i 3.49190i
\(765\) 12191.9 11463.6i 0.576206 0.541788i
\(766\) −56974.9 + 32894.5i −2.68745 + 1.55160i
\(767\) −551.917 + 318.649i −0.0259825 + 0.0150010i
\(768\) 7613.15 + 6030.14i 0.357703 + 0.283325i
\(769\) 4724.52i 0.221548i 0.993846 + 0.110774i \(0.0353330\pi\)
−0.993846 + 0.110774i \(0.964667\pi\)
\(770\) −2244.75 + 10938.7i −0.105059 + 0.511953i
\(771\) 1497.51 10163.6i 0.0699501 0.474753i
\(772\) −21653.3 + 37504.6i −1.00948 + 1.74847i