Properties

Label 105.4.s.a.101.1
Level $105$
Weight $4$
Character 105.101
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 101.1
Character \(\chi\) \(=\) 105.101
Dual form 105.4.s.a.26.1

$q$-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 \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).

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

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 −0.628668 + 0.777674i \(0.716400\pi\)
−0.987819 + 0.155606i \(0.950267\pi\)
\(3\) 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 0.745971 0.665979i \(-0.231986\pi\)
−0.203769 + 0.979019i \(0.565319\pi\)
\(12\) 80.9445 64.1136i 1.94722 1.54233i
\(13\) 81.4876i 1.73851i 0.494367 + 0.869253i \(0.335400\pi\)
−0.494367 + 0.869253i \(0.664600\pi\)
\(14\) 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 −0.0377235 + 0.999288i \(0.512011\pi\)
−0.846547 + 0.532314i \(0.821323\pi\)
\(18\) −138.757 32.6390i −1.81697 0.427393i
\(19\) −40.3436 + 23.2924i −0.487130 + 0.281245i −0.723383 0.690447i \(-0.757414\pi\)
0.236253 + 0.971692i \(0.424081\pi\)
\(20\) −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 0.0160847 0.999871i \(-0.494880\pi\)
0.873956 + 0.486006i \(0.161547\pi\)
\(24\) −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 \(0.0827123\pi\)
−0.966429 + 0.256934i \(0.917288\pi\)
\(30\) 85.1644 + 107.521i 0.518294 + 0.654354i
\(31\) −15.7036 9.06650i −0.0909825 0.0525288i 0.453818 0.891094i \(-0.350061\pi\)
−0.544801 + 0.838565i \(0.683395\pi\)
\(32\) 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 0.734756 0.678332i \(-0.237297\pi\)
−0.954830 + 0.297151i \(0.903963\pi\)
\(38\) 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 0.944701 0.327933i \(-0.106352\pi\)
−0.756349 + 0.654169i \(0.773019\pi\)
\(48\) −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 0.217903 0.975971i \(-0.430079\pi\)
−0.736264 + 0.676694i \(0.763412\pi\)
\(54\) −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 −0.870307 0.492509i \(-0.836080\pi\)
0.861679 + 0.507454i \(0.169413\pi\)
\(60\) −479.981 190.216i −1.03276 0.409279i
\(61\) 158.777 91.6701i 0.333268 0.192412i −0.324023 0.946049i \(-0.605036\pi\)
0.657291 + 0.753637i \(0.271702\pi\)
\(62\) 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 −0.965638 0.259889i \(-0.916314\pi\)
0.707890 + 0.706323i \(0.249647\pi\)
\(68\) 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 \(0.143591\pi\)
−0.899967 + 0.435958i \(0.856409\pi\)
\(72\) −1159.27 + 1232.92i −1.89752 + 2.01807i
\(73\) 77.7523 + 44.8903i 0.124661 + 0.0719728i 0.561034 0.827793i \(-0.310404\pi\)
−0.436373 + 0.899766i \(0.643737\pi\)
\(74\) 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 0.570676 0.821175i \(-0.306681\pi\)
−0.996497 + 0.0836328i \(0.973348\pi\)
\(80\) −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 0.940565 0.339614i \(-0.110296\pi\)
−0.764397 + 0.644746i \(0.776963\pi\)
\(90\) 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 \(-0.878623\pi\)
0.928175 0.372144i \(-0.121377\pi\)
\(98\) −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 −0.334704 0.942323i \(-0.608636\pi\)
0.983428 0.181299i \(-0.0580303\pi\)
\(102\) 1252.86 3161.41i 1.21619 3.06888i
\(103\) 345.828 199.664i 0.330830 0.191005i −0.325380 0.945583i \(-0.605492\pi\)
0.656210 + 0.754579i \(0.272159\pi\)
\(104\) −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 −0.446125 0.894971i \(-0.647196\pi\)
0.552005 + 0.833841i \(0.313863\pi\)
\(108\) 2778.01 + 235.962i 2.47513 + 0.210236i
\(109\) 661.521 1145.79i 0.581305 1.00685i −0.414021 0.910268i \(-0.635876\pi\)
0.995325 0.0965814i \(-0.0307908\pi\)
\(110\) 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 \(0.242439\pi\)
−0.723702 + 0.690113i \(0.757561\pi\)
\(114\) 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 0.865697 0.500568i \(-0.166875\pi\)
−0.866353 + 0.499432i \(0.833542\pi\)
\(132\) 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 −0.281062 0.959689i \(-0.590687\pi\)
−0.971647 + 0.236438i \(0.924020\pi\)
\(138\) −2437.79 + 1930.90i −1.50376 + 1.19108i
\(139\) 2566.73i 1.56624i 0.621869 + 0.783121i \(0.286373\pi\)
−0.621869 + 0.783121i \(0.713627\pi\)
\(140\) 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 0.446114 0.894976i \(-0.352808\pi\)
0.998129 + 0.0611418i \(0.0194742\pi\)
\(150\) 252.670 637.576i 0.137536 0.347053i
\(151\) −1064.37 + 1843.54i −0.573623 + 0.993544i 0.422567 + 0.906332i \(0.361129\pi\)
−0.996190 + 0.0872121i \(0.972204\pi\)
\(152\) −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 0.764243 0.644928i \(-0.223113\pi\)
−0.176402 + 0.984318i \(0.556446\pi\)
\(158\) 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 −0.999995 0.00310028i \(-0.999013\pi\)
0.497313 0.867571i \(-0.334320\pi\)
\(164\) −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 −0.831162 0.556030i \(-0.812324\pi\)
−0.0659546 0.997823i \(-0.521009\pi\)
\(174\) −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 0.998414 + 0.0562907i \(0.0179274\pi\)
0.547956 + 0.836507i \(0.315406\pi\)
\(180\) −1954.48 1837.73i −0.809323 0.760980i
\(181\) 3354.33i 1.37749i 0.725005 + 0.688744i \(0.241838\pi\)
−0.725005 + 0.688744i \(0.758162\pi\)
\(182\) 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 0.253040 0.967456i \(-0.418569\pi\)
0.964361 + 0.264589i \(0.0852361\pi\)
\(192\) −3716.68 1472.91i −1.39702 0.553637i
\(193\) 1089.62 1887.28i 0.406387 0.703882i −0.588095 0.808792i \(-0.700122\pi\)
0.994482 + 0.104910i \(0.0334553\pi\)
\(194\) 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 \(-0.731154\pi\)
0.664027 0.747708i \(-0.268846\pi\)
\(198\) −2372.02 2230.33i −0.851373 0.800519i
\(199\) 4211.51 + 2431.52i 1.50023 + 0.866159i 1.00000 0.000266556i \(8.48473e-5\pi\)
0.500231 + 0.865892i \(0.333248\pi\)
\(200\) −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 \(-0.896222\pi\)
0.947322 0.320283i \(-0.103778\pi\)
\(224\) −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 −0.827293 0.561771i \(-0.810120\pi\)
0.900154 + 0.435571i \(0.143453\pi\)
\(228\) −1772.23 + 4471.97i −0.514777 + 1.29896i
\(229\) −2861.25 + 1651.94i −0.825662 + 0.476696i −0.852365 0.522947i \(-0.824832\pi\)
0.0267032 + 0.999643i \(0.491499\pi\)
\(230\) 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 −0.839346 0.543597i \(-0.817062\pi\)
0.0510959 + 0.998694i \(0.483729\pi\)
\(234\) 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 \(-0.878704\pi\)
0.928270 0.371906i \(-0.121296\pi\)
\(240\) −3501.57 + 2773.49i −0.941772 + 0.745949i
\(241\) 2093.51 + 1208.69i 0.559564 + 0.323064i 0.752970 0.658055i \(-0.228620\pi\)
−0.193407 + 0.981119i \(0.561954\pi\)
\(242\) 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 0.960697 0.277601i \(-0.0895392\pi\)
−0.720757 + 0.693187i \(0.756206\pi\)
\(258\) −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 0.775070 0.631876i \(-0.217715\pi\)
−0.159685 + 0.987168i \(0.551048\pi\)
\(264\) −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 −0.735249 0.677797i \(-0.762935\pi\)
0.954614 + 0.297846i \(0.0962681\pi\)
\(270\) −313.437 + 3690.13i −0.0706487 + 0.831756i
\(271\) −6346.80 + 3664.33i −1.42266 + 0.821373i −0.996526 0.0832869i \(-0.973458\pi\)
−0.426134 + 0.904660i \(0.640125\pi\)
\(272\) 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 −0.923619 0.383313i \(-0.874783\pi\)
0.793768 + 0.608221i \(0.208117\pi\)
\(278\) −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 \(0.255348\pi\)
−0.695127 + 0.718887i \(0.744652\pi\)
\(282\) −2067.46 2610.20i −0.436579 0.551188i
\(283\) 2389.53 + 1379.59i 0.501918 + 0.289782i 0.729505 0.683975i \(-0.239750\pi\)
−0.227587 + 0.973758i \(0.573084\pi\)
\(284\) 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 \(0.118483\pi\)
−0.931521 + 0.363688i \(0.881517\pi\)
\(308\) −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 −0.980684 0.195599i \(-0.937335\pi\)
0.659735 + 0.751498i \(0.270668\pi\)
\(312\) −24672.9 9777.82i −4.47701 1.77423i
\(313\) 3886.21 2243.71i 0.701795 0.405181i −0.106221 0.994343i \(-0.533875\pi\)
0.808016 + 0.589161i \(0.200542\pi\)
\(314\) −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 −0.522696 + 0.852519i \(0.675074\pi\)
−0.999651 + 0.0264080i \(0.991593\pi\)
\(318\) 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 0.707848 0.706365i \(-0.249666\pi\)
−0.965654 + 0.259832i \(0.916333\pi\)
\(332\) −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 0.0706455 0.997501i \(-0.477494\pi\)
−0.828539 + 0.559932i \(0.810827\pi\)
\(348\) 5145.16 + 6495.85i 0.792556 + 1.00061i
\(349\) 2330.14i 0.357391i −0.983904 0.178695i \(-0.942812\pi\)
0.983904 0.178695i \(-0.0571876\pi\)
\(350\) −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 −0.829973 0.557804i \(-0.811644\pi\)
0.898059 + 0.439876i \(0.144978\pi\)
\(354\) 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 −0.190827 0.981624i \(-0.561117\pi\)
0.754697 + 0.656073i \(0.227784\pi\)
\(360\) 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 −0.227288 0.973828i \(-0.572986\pi\)
−0.957004 + 0.290076i \(0.906319\pi\)
\(368\) −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 0.998717 + 0.0506487i \(0.0161289\pi\)
−0.455495 + 0.890238i \(0.650538\pi\)
\(374\) 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 0.897037 + 0.441955i \(0.145715\pi\)
−0.0657745 + 0.997835i \(0.520952\pi\)
\(384\) 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 0.0773360 0.997005i \(-0.475359\pi\)
−0.824764 + 0.565477i \(0.808692\pi\)
\(390\) −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 −0.608172 0.793805i \(-0.708097\pi\)
0.383369 + 0.923595i \(0.374764\pi\)
\(398\) −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 −0.344255 0.938876i \(-0.611868\pi\)
0.640963 + 0.767572i \(0.278535\pi\)
\(402\) 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 −0.0281271 0.999604i \(-0.508954\pi\)
−0.879746 + 0.475443i \(0.842288\pi\)
\(410\) −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 0.591957 0.805970i \(-0.298356\pi\)
−0.402012 + 0.915634i \(0.631689\pi\)
\(432\) 13785.3 19793.9i 1.53530 2.20448i
\(433\) 7219.75i 0.801291i 0.916233 + 0.400646i \(0.131214\pi\)
−0.916233 + 0.400646i \(0.868786\pi\)
\(434\) −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 −0.758008 0.652246i \(-0.773827\pi\)
0.185858 + 0.982577i \(0.440494\pi\)
\(440\) 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 0.00119476 0.999999i \(-0.499620\pi\)
0.866622 + 0.498965i \(0.166286\pi\)
\(444\) −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 \(0.277686\pi\)
−0.643009 + 0.765859i \(0.722314\pi\)
\(450\) 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 0.994514 0.104605i \(-0.0333578\pi\)
−0.587847 + 0.808972i \(0.700024\pi\)
\(458\) 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 0.849302 0.527907i \(-0.177023\pi\)
−0.881832 + 0.471564i \(0.843690\pi\)
\(468\) 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 0.251885 + 0.967757i \(0.418950\pi\)
−0.964045 + 0.265740i \(0.914384\pi\)
\(480\) 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 −0.460717 0.887547i \(-0.652408\pi\)
0.998997 0.0447811i \(-0.0142590\pi\)
\(488\) 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 \(0.0773648\pi\)
−0.970609 + 0.240663i \(0.922635\pi\)
\(492\) −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 0.964293 0.264838i \(-0.0853186\pi\)
−0.711503 + 0.702683i \(0.751985\pi\)
\(500\) 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 0.849597 0.527432i \(-0.176845\pi\)
−0.881568 + 0.472056i \(0.843512\pi\)
\(510\) −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 −0.0685029 0.997651i \(-0.521822\pi\)
0.898242 0.439500i \(-0.144844\pi\)
\(522\) 2619.30 11135.4i 0.219624 0.933682i
\(523\) 12016.7 6937.83i 1.00469 0.580057i 0.0950566 0.995472i \(-0.469697\pi\)
0.909632 + 0.415414i \(0.136363\pi\)
\(524\) −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 0.699262 0.714865i \(-0.253512\pi\)
−0.968723 + 0.248146i \(0.920179\pi\)
\(542\) 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 −0.135169 0.990823i \(-0.543158\pi\)
−0.925662 + 0.378351i \(0.876491\pi\)
\(558\) 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 0.0101593 + 0.999948i \(0.496766\pi\)
−0.871060 + 0.491176i \(0.836567\pi\)
\(564\) 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 −0.320722 0.947174i \(-0.603925\pi\)
0.659916 + 0.751340i \(0.270592\pi\)
\(570\) −5940.28 2354.12i −0.436510 0.172988i
\(571\) 10401.8 18016.5i 0.762351 1.32043i −0.179284 0.983797i \(-0.557378\pi\)
0.941636 0.336634i \(-0.109288\pi\)
\(572\) 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 0.950024 0.312176i \(-0.101058\pi\)
0.204660 + 0.978833i \(0.434391\pi\)
\(578\) 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 0.946302 0.323283i \(-0.104786\pi\)
−0.753122 + 0.657881i \(0.771453\pi\)
\(594\) −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 0.249552 0.968361i \(-0.419717\pi\)
−0.713850 + 0.700299i \(0.753050\pi\)
\(600\) −5055.50 6382.65i −0.343983 0.434285i
\(601\) 15257.2i 1.03553i −0.855523 0.517765i \(-0.826764\pi\)
0.855523 0.517765i \(-0.173236\pi\)
\(602\) 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 0.410519 0.911852i \(-0.365347\pi\)
0.994947 + 0.100406i \(0.0320141\pi\)
\(608\) −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 −0.156834 0.987625i \(-0.550129\pi\)
0.933725 0.357990i \(-0.116538\pi\)
\(614\) −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 \(-0.920849\pi\)
0.969243 0.246107i \(-0.0791514\pi\)
\(618\) −8587.27 + 6801.71i −0.558949 + 0.442726i
\(619\) −11948.9 6898.68i −0.775873 0.447951i 0.0590924 0.998253i \(-0.481179\pi\)
−0.834966 + 0.550302i \(0.814513\pi\)
\(620\) 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 −0.996376 0.0850581i \(-0.972892\pi\)
−0.571850 0.820358i \(-0.693774\pi\)
\(642\) −2909.95 + 2304.89i −0.178889 + 0.141692i
\(643\) 21497.6i 1.31848i −0.751933 0.659240i \(-0.770878\pi\)
0.751933 0.659240i \(-0.229122\pi\)
\(644\) −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 −0.732043 0.681258i \(-0.761433\pi\)
0.956008 + 0.293339i \(0.0947665\pi\)
\(648\) −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 −0.326954 0.945040i \(-0.606022\pi\)
0.654952 + 0.755671i \(0.272689\pi\)
\(654\) −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 \(0.0942198\pi\)
−0.956511 + 0.291697i \(0.905780\pi\)
\(660\) −7322.17 9244.36i −0.431841 0.545206i
\(661\) −3165.66 1827.69i −0.186278 0.107548i 0.403961 0.914776i \(-0.367633\pi\)
−0.590239 + 0.807229i \(0.700966\pi\)
\(662\) 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 0.994588 0.103896i \(-0.0331311\pi\)
−0.587271 + 0.809390i \(0.699798\pi\)
\(678\) −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 0.921725 0.387843i \(-0.126780\pi\)
0.124981 + 0.992159i \(0.460113\pi\)
\(684\) −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 −0.509603 0.860410i \(-0.670208\pi\)
0.490335 + 0.871534i \(0.336874\pi\)
\(692\) −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 \(0.134258\pi\)
−0.912360 + 0.409389i \(0.865742\pi\)
\(702\) 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 −0.956282 0.292446i \(-0.905531\pi\)
0.224875 0.974388i \(-0.427803\pi\)
\(710\) −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 0.578708 0.815535i \(-0.303557\pi\)
−0.995628 + 0.0934085i \(0.970224\pi\)
\(720\) −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 \(-0.832571\pi\)
0.864826 0.502072i \(-0.167429\pi\)
\(728\) 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 −0.767023 0.641620i \(-0.778263\pi\)
0.172147 + 0.985071i \(0.444929\pi\)
\(734\) 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 0.415479 + 0.909603i \(0.363614\pi\)
−0.995479 + 0.0949864i \(0.969719\pi\)
\(740\) 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 \(-0.772023\pi\)
0.754299 0.656531i \(-0.227977\pi\)
\(744\) 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 0.934400 0.356227i \(-0.115937\pi\)
−0.775701 + 0.631100i \(0.782604\pi\)
\(752\) 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 0.958340 + 0.285629i \(0.0922024\pi\)
−0.231808 + 0.972761i \(0.574464\pi\)
\(762\) −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 \(-0.964667\pi\)
0.993846 0.110774i \(-0.0353330\pi\)
\(770\) −2244.75 10938.7i −0.105059 0.511953i
\(771\) 1497.51 + 10163.6i 0.0699501 + 0.474753i
\(772\) −21653.3 37504.6i −1.00948