Properties

Label 49.4.e.a.8.12
Level $49$
Weight $4$
Character 49.8
Analytic conductor $2.891$
Analytic rank $0$
Dimension $78$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 49 = 7^{2} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 49.e (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.89109359028\)
Analytic rank: \(0\)
Dimension: \(78\)
Relative dimension: \(13\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 8.12
Character \(\chi\) \(=\) 49.8
Dual form 49.4.e.a.43.12

$q$-expansion

\(f(q)\) \(=\) \(q+(2.64790 + 3.32037i) q^{2} +(6.62695 - 3.19137i) q^{3} +(-2.23327 + 9.78459i) q^{4} +(-17.1881 + 8.27737i) q^{5} +(28.1441 + 13.5535i) q^{6} +(16.3388 - 8.72030i) q^{7} +(-7.79127 + 3.75208i) q^{8} +(16.8974 - 21.1887i) q^{9} +O(q^{10})\) \(q+(2.64790 + 3.32037i) q^{2} +(6.62695 - 3.19137i) q^{3} +(-2.23327 + 9.78459i) q^{4} +(-17.1881 + 8.27737i) q^{5} +(28.1441 + 13.5535i) q^{6} +(16.3388 - 8.72030i) q^{7} +(-7.79127 + 3.75208i) q^{8} +(16.8974 - 21.1887i) q^{9} +(-72.9964 - 35.1532i) q^{10} +(-8.30653 - 10.4161i) q^{11} +(16.4265 + 71.9693i) q^{12} +(-27.7617 - 34.8121i) q^{13} +(72.2182 + 31.1603i) q^{14} +(-87.4888 + 109.707i) q^{15} +(39.2498 + 18.9017i) q^{16} +(-9.98101 - 43.7297i) q^{17} +115.097 q^{18} -112.743 q^{19} +(-42.6049 - 186.664i) q^{20} +(80.4467 - 109.932i) q^{21} +(12.5902 - 55.1614i) q^{22} +(-19.3627 + 84.8335i) q^{23} +(-39.6581 + 49.7297i) q^{24} +(148.981 - 186.816i) q^{25} +(42.0786 - 184.358i) q^{26} +(0.165953 - 0.727087i) q^{27} +(48.8357 + 179.343i) q^{28} +(33.7748 + 147.977i) q^{29} -595.931 q^{30} +256.908 q^{31} +(56.5634 + 247.820i) q^{32} +(-88.2885 - 42.5175i) q^{33} +(118.770 - 148.932i) q^{34} +(-208.652 + 285.128i) q^{35} +(169.587 + 212.655i) q^{36} +(15.3586 + 67.2906i) q^{37} +(-298.532 - 374.347i) q^{38} +(-295.074 - 142.100i) q^{39} +(102.860 - 128.982i) q^{40} +(-167.948 + 80.8796i) q^{41} +(578.031 - 23.9774i) q^{42} +(-107.322 - 51.6834i) q^{43} +(120.468 - 58.0141i) q^{44} +(-115.049 + 504.061i) q^{45} +(-332.949 + 160.340i) q^{46} +(359.776 + 451.145i) q^{47} +320.429 q^{48} +(190.913 - 284.959i) q^{49} +1014.78 q^{50} +(-205.701 - 257.941i) q^{51} +(402.622 - 193.892i) q^{52} +(9.04324 - 39.6210i) q^{53} +(2.85362 - 1.37423i) q^{54} +(228.991 + 110.276i) q^{55} +(-94.5807 + 129.247i) q^{56} +(-747.141 + 359.804i) q^{57} +(-401.905 + 503.973i) q^{58} +(-541.596 - 260.819i) q^{59} +(-878.057 - 1101.05i) q^{60} +(-169.567 - 742.924i) q^{61} +(680.269 + 853.030i) q^{62} +(91.3118 - 493.549i) q^{63} +(-455.786 + 571.538i) q^{64} +(765.325 + 368.561i) q^{65} +(-92.6058 - 405.732i) q^{66} +142.822 q^{67} +450.167 q^{68} +(142.420 + 623.981i) q^{69} +(-1499.22 + 62.1895i) q^{70} +(42.5704 - 186.513i) q^{71} +(-52.1508 + 228.487i) q^{72} +(-210.409 + 263.845i) q^{73} +(-182.761 + 229.175i) q^{74} +(391.089 - 1713.47i) q^{75} +(251.785 - 1103.14i) q^{76} +(-226.550 - 97.7504i) q^{77} +(-309.503 - 1356.02i) q^{78} +146.006 q^{79} -831.087 q^{80} +(161.606 + 708.043i) q^{81} +(-713.261 - 343.488i) q^{82} +(618.535 - 775.618i) q^{83} +(895.983 + 1032.65i) q^{84} +(533.521 + 669.014i) q^{85} +(-112.570 - 493.200i) q^{86} +(696.073 + 872.848i) q^{87} +(103.800 + 49.9875i) q^{88} +(121.788 - 152.717i) q^{89} +(-1978.30 + 952.701i) q^{90} +(-757.165 - 326.697i) q^{91} +(-786.819 - 378.912i) q^{92} +(1702.52 - 819.891i) q^{93} +(-545.314 + 2389.18i) q^{94} +(1937.84 - 933.213i) q^{95} +(1165.73 + 1461.78i) q^{96} -350.466 q^{97} +(1451.68 - 120.643i) q^{98} -361.062 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 78 q - 5 q^{2} - 5 q^{3} - 53 q^{4} - 23 q^{5} + 19 q^{6} - 31 q^{8} - 174 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 78 q - 5 q^{2} - 5 q^{3} - 53 q^{4} - 23 q^{5} + 19 q^{6} - 31 q^{8} - 174 q^{9} + 9 q^{10} - 103 q^{11} + 364 q^{12} - 35 q^{13} + 161 q^{14} - 245 q^{15} - 205 q^{16} - 285 q^{17} + 16 q^{18} + 628 q^{19} + 553 q^{20} - 21 q^{21} - 605 q^{22} + 149 q^{23} + 653 q^{24} - 370 q^{25} - 511 q^{26} - 65 q^{27} + 70 q^{28} - 187 q^{29} + 84 q^{30} + 1276 q^{31} + 1399 q^{32} - 23 q^{33} - 765 q^{34} - 805 q^{35} - 1691 q^{36} - 1531 q^{37} - 1041 q^{38} - 1351 q^{39} - 1759 q^{40} - 301 q^{41} + 3395 q^{42} - 257 q^{43} - 883 q^{44} + 3105 q^{45} + 1593 q^{46} + 733 q^{47} - 1948 q^{48} + 1288 q^{49} + 6148 q^{50} + 1197 q^{51} - 1099 q^{52} - 285 q^{53} + 660 q^{54} + 2641 q^{55} - 1988 q^{56} - 2352 q^{57} + 1173 q^{58} - 3603 q^{59} - 175 q^{60} - 2613 q^{61} - 1927 q^{62} - 3066 q^{63} + 1589 q^{64} - 371 q^{65} - 2175 q^{66} + 352 q^{67} + 6076 q^{68} + 5549 q^{69} - 6293 q^{70} - 2623 q^{71} + 6220 q^{72} + 2039 q^{73} - 2411 q^{74} - 3903 q^{75} + 4130 q^{76} + 1029 q^{77} - 3759 q^{78} + 44 q^{79} - 1608 q^{80} + 1394 q^{81} - 10920 q^{82} - 553 q^{83} - 7798 q^{84} + 497 q^{85} - 2985 q^{86} - 4273 q^{87} - 2197 q^{88} - 3957 q^{89} - 2958 q^{90} + 14119 q^{91} - 9136 q^{92} + 6272 q^{93} + 14912 q^{94} + 5866 q^{95} + 21882 q^{96} - 1540 q^{97} - 2303 q^{98} + 10768 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{6}{7}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.64790 + 3.32037i 0.936175 + 1.17393i 0.984551 + 0.175097i \(0.0560241\pi\)
−0.0483758 + 0.998829i \(0.515405\pi\)
\(3\) 6.62695 3.19137i 1.27536 0.614180i 0.331165 0.943573i \(-0.392558\pi\)
0.944193 + 0.329393i \(0.106844\pi\)
\(4\) −2.23327 + 9.78459i −0.279159 + 1.22307i
\(5\) −17.1881 + 8.27737i −1.53735 + 0.740350i −0.995007 0.0998054i \(-0.968178\pi\)
−0.542346 + 0.840155i \(0.682464\pi\)
\(6\) 28.1441 + 13.5535i 1.91496 + 0.922197i
\(7\) 16.3388 8.72030i 0.882212 0.470852i
\(8\) −7.79127 + 3.75208i −0.344329 + 0.165820i
\(9\) 16.8974 21.1887i 0.625831 0.784768i
\(10\) −72.9964 35.1532i −2.30835 1.11164i
\(11\) −8.30653 10.4161i −0.227683 0.285505i 0.654847 0.755761i \(-0.272733\pi\)
−0.882530 + 0.470256i \(0.844162\pi\)
\(12\) 16.4265 + 71.9693i 0.395161 + 1.73131i
\(13\) −27.7617 34.8121i −0.592286 0.742703i 0.391867 0.920022i \(-0.371829\pi\)
−0.984154 + 0.177318i \(0.943258\pi\)
\(14\) 72.2182 + 31.1603i 1.37865 + 0.594852i
\(15\) −87.4888 + 109.707i −1.50597 + 1.88842i
\(16\) 39.2498 + 18.9017i 0.613278 + 0.295339i
\(17\) −9.98101 43.7297i −0.142397 0.623882i −0.994874 0.101118i \(-0.967758\pi\)
0.852477 0.522764i \(-0.175099\pi\)
\(18\) 115.097 1.50715
\(19\) −112.743 −1.36131 −0.680657 0.732602i \(-0.738306\pi\)
−0.680657 + 0.732602i \(0.738306\pi\)
\(20\) −42.6049 186.664i −0.476338 2.08697i
\(21\) 80.4467 109.932i 0.835948 1.14234i
\(22\) 12.5902 55.1614i 0.122011 0.534566i
\(23\) −19.3627 + 84.8335i −0.175539 + 0.769087i 0.808116 + 0.589023i \(0.200487\pi\)
−0.983655 + 0.180063i \(0.942370\pi\)
\(24\) −39.6581 + 49.7297i −0.337299 + 0.422960i
\(25\) 148.981 186.816i 1.19185 1.49453i
\(26\) 42.0786 184.358i 0.317396 1.39060i
\(27\) 0.165953 0.727087i 0.00118288 0.00518252i
\(28\) 48.8357 + 179.343i 0.329610 + 1.21045i
\(29\) 33.7748 + 147.977i 0.216269 + 0.947539i 0.960207 + 0.279289i \(0.0900989\pi\)
−0.743937 + 0.668249i \(0.767044\pi\)
\(30\) −595.931 −3.62672
\(31\) 256.908 1.48846 0.744228 0.667926i \(-0.232818\pi\)
0.744228 + 0.667926i \(0.232818\pi\)
\(32\) 56.5634 + 247.820i 0.312471 + 1.36903i
\(33\) −88.2885 42.5175i −0.465729 0.224283i
\(34\) 118.770 148.932i 0.599083 0.751227i
\(35\) −208.652 + 285.128i −1.00768 + 1.37701i
\(36\) 169.587 + 212.655i 0.785123 + 0.984513i
\(37\) 15.3586 + 67.2906i 0.0682418 + 0.298987i 0.997519 0.0703960i \(-0.0224263\pi\)
−0.929277 + 0.369383i \(0.879569\pi\)
\(38\) −298.532 374.347i −1.27443 1.59808i
\(39\) −295.074 142.100i −1.21153 0.583442i
\(40\) 102.860 128.982i 0.406590 0.509847i
\(41\) −167.948 + 80.8796i −0.639734 + 0.308080i −0.725486 0.688237i \(-0.758385\pi\)
0.0857519 + 0.996317i \(0.472671\pi\)
\(42\) 578.031 23.9774i 2.12362 0.0880904i
\(43\) −107.322 51.6834i −0.380614 0.183294i 0.233787 0.972288i \(-0.424888\pi\)
−0.614401 + 0.788994i \(0.710602\pi\)
\(44\) 120.468 58.0141i 0.412754 0.198772i
\(45\) −115.049 + 504.061i −0.381121 + 1.66980i
\(46\) −332.949 + 160.340i −1.06719 + 0.513930i
\(47\) 359.776 + 451.145i 1.11657 + 1.40013i 0.906375 + 0.422474i \(0.138838\pi\)
0.210195 + 0.977660i \(0.432590\pi\)
\(48\) 320.429 0.963541
\(49\) 190.913 284.959i 0.556597 0.830783i
\(50\) 1014.78 2.87024
\(51\) −205.701 257.941i −0.564783 0.708216i
\(52\) 402.622 193.892i 1.07372 0.517078i
\(53\) 9.04324 39.6210i 0.0234375 0.102686i −0.961856 0.273555i \(-0.911800\pi\)
0.985294 + 0.170869i \(0.0546575\pi\)
\(54\) 2.85362 1.37423i 0.00719127 0.00346313i
\(55\) 228.991 + 110.276i 0.561403 + 0.270357i
\(56\) −94.5807 + 129.247i −0.225694 + 0.308416i
\(57\) −747.141 + 359.804i −1.73616 + 0.836092i
\(58\) −401.905 + 503.973i −0.909875 + 1.14095i
\(59\) −541.596 260.819i −1.19508 0.575521i −0.272812 0.962067i \(-0.587954\pi\)
−0.922270 + 0.386546i \(0.873668\pi\)
\(60\) −878.057 1101.05i −1.88928 2.36908i
\(61\) −169.567 742.924i −0.355916 1.55937i −0.763257 0.646095i \(-0.776401\pi\)
0.407341 0.913276i \(-0.366456\pi\)
\(62\) 680.269 + 853.030i 1.39346 + 1.74734i
\(63\) 91.3118 493.549i 0.182606 0.987005i
\(64\) −455.786 + 571.538i −0.890207 + 1.11628i
\(65\) 765.325 + 368.561i 1.46041 + 0.703298i
\(66\) −92.6058 405.732i −0.172712 0.756700i
\(67\) 142.822 0.260426 0.130213 0.991486i \(-0.458434\pi\)
0.130213 + 0.991486i \(0.458434\pi\)
\(68\) 450.167 0.802806
\(69\) 142.420 + 623.981i 0.248483 + 1.08867i
\(70\) −1499.22 + 62.1895i −2.55987 + 0.106187i
\(71\) 42.5704 186.513i 0.0711574 0.311761i −0.926807 0.375539i \(-0.877458\pi\)
0.997964 + 0.0637778i \(0.0203149\pi\)
\(72\) −52.1508 + 228.487i −0.0853615 + 0.373993i
\(73\) −210.409 + 263.845i −0.337350 + 0.423023i −0.921352 0.388729i \(-0.872914\pi\)
0.584003 + 0.811752i \(0.301486\pi\)
\(74\) −182.761 + 229.175i −0.287102 + 0.360015i
\(75\) 391.089 1713.47i 0.602121 2.63806i
\(76\) 251.785 1103.14i 0.380023 1.66499i
\(77\) −226.550 97.7504i −0.335295 0.144671i
\(78\) −309.503 1356.02i −0.449286 1.96845i
\(79\) 146.006 0.207936 0.103968 0.994581i \(-0.466846\pi\)
0.103968 + 0.994581i \(0.466846\pi\)
\(80\) −831.087 −1.16148
\(81\) 161.606 + 708.043i 0.221682 + 0.971253i
\(82\) −713.261 343.488i −0.960567 0.462584i
\(83\) 618.535 775.618i 0.817988 1.02572i −0.181119 0.983461i \(-0.557972\pi\)
0.999107 0.0422631i \(-0.0134568\pi\)
\(84\) 895.983 + 1032.65i 1.16381 + 1.34132i
\(85\) 533.521 + 669.014i 0.680806 + 0.853703i
\(86\) −112.570 493.200i −0.141148 0.618409i
\(87\) 696.073 + 872.848i 0.857780 + 1.07562i
\(88\) 103.800 + 49.9875i 0.125740 + 0.0605533i
\(89\) 121.788 152.717i 0.145050 0.181887i −0.703999 0.710201i \(-0.748604\pi\)
0.849049 + 0.528314i \(0.177175\pi\)
\(90\) −1978.30 + 952.701i −2.31702 + 1.11582i
\(91\) −757.165 326.697i −0.872225 0.376343i
\(92\) −786.819 378.912i −0.891647 0.429395i
\(93\) 1702.52 819.891i 1.89831 0.914180i
\(94\) −545.314 + 2389.18i −0.598350 + 2.62154i
\(95\) 1937.84 933.213i 2.09282 1.00785i
\(96\) 1165.73 + 1461.78i 1.23934 + 1.55409i
\(97\) −350.466 −0.366850 −0.183425 0.983034i \(-0.558718\pi\)
−0.183425 + 0.983034i \(0.558718\pi\)
\(98\) 1451.68 120.643i 1.49635 0.124355i
\(99\) −361.062 −0.366546
\(100\) 1495.20 + 1874.93i 1.49520 + 1.87493i
\(101\) −454.835 + 219.037i −0.448096 + 0.215792i −0.644302 0.764771i \(-0.722852\pi\)
0.196206 + 0.980563i \(0.437138\pi\)
\(102\) 311.782 1366.01i 0.302657 1.32603i
\(103\) −457.860 + 220.494i −0.438003 + 0.210931i −0.639872 0.768481i \(-0.721013\pi\)
0.201869 + 0.979412i \(0.435298\pi\)
\(104\) 346.917 + 167.066i 0.327096 + 0.157521i
\(105\) −472.779 + 2555.42i −0.439414 + 2.37508i
\(106\) 155.502 74.8858i 0.142488 0.0686184i
\(107\) −262.638 + 329.338i −0.237291 + 0.297554i −0.886191 0.463320i \(-0.846658\pi\)
0.648900 + 0.760874i \(0.275230\pi\)
\(108\) 6.74363 + 3.24756i 0.00600839 + 0.00289349i
\(109\) −248.588 311.719i −0.218444 0.273920i 0.660520 0.750809i \(-0.270336\pi\)
−0.878964 + 0.476888i \(0.841765\pi\)
\(110\) 240.189 + 1052.34i 0.208192 + 0.912148i
\(111\) 316.531 + 396.917i 0.270664 + 0.339402i
\(112\) 806.123 33.4390i 0.680103 0.0282115i
\(113\) 827.960 1038.23i 0.689274 0.864322i −0.306898 0.951742i \(-0.599291\pi\)
0.996171 + 0.0874206i \(0.0278624\pi\)
\(114\) −3173.04 1528.06i −2.60686 1.25540i
\(115\) −369.389 1618.40i −0.299528 1.31232i
\(116\) −1523.32 −1.21928
\(117\) −1206.73 −0.953520
\(118\) −568.080 2488.92i −0.443186 1.94173i
\(119\) −544.413 627.452i −0.419381 0.483349i
\(120\) 270.018 1183.02i 0.205409 0.899957i
\(121\) 256.680 1124.59i 0.192847 0.844919i
\(122\) 2017.78 2530.22i 1.49739 1.87766i
\(123\) −854.868 + 1071.97i −0.626674 + 0.785824i
\(124\) −573.746 + 2513.74i −0.415515 + 1.82049i
\(125\) −483.716 + 2119.30i −0.346119 + 1.51645i
\(126\) 1880.55 1003.68i 1.32962 0.709643i
\(127\) −255.846 1120.93i −0.178761 0.783203i −0.982203 0.187821i \(-0.939858\pi\)
0.803442 0.595383i \(-0.203000\pi\)
\(128\) −1071.04 −0.739593
\(129\) −876.158 −0.597995
\(130\) 802.749 + 3517.07i 0.541582 + 2.37283i
\(131\) 595.365 + 286.712i 0.397078 + 0.191223i 0.621757 0.783210i \(-0.286419\pi\)
−0.224679 + 0.974433i \(0.572133\pi\)
\(132\) 613.189 768.914i 0.404327 0.507010i
\(133\) −1842.08 + 983.151i −1.20097 + 0.640978i
\(134\) 378.180 + 474.223i 0.243804 + 0.305721i
\(135\) 3.16595 + 13.8709i 0.00201838 + 0.00884310i
\(136\) 241.842 + 303.260i 0.152483 + 0.191208i
\(137\) −361.572 174.124i −0.225483 0.108587i 0.317732 0.948181i \(-0.397079\pi\)
−0.543215 + 0.839594i \(0.682793\pi\)
\(138\) −1694.73 + 2125.13i −1.04540 + 1.31089i
\(139\) 1412.50 680.226i 0.861921 0.415079i 0.0499323 0.998753i \(-0.484099\pi\)
0.811989 + 0.583673i \(0.198385\pi\)
\(140\) −2323.88 2678.34i −1.40289 1.61687i
\(141\) 3823.99 + 1841.54i 2.28396 + 1.09990i
\(142\) 732.013 352.519i 0.432600 0.208329i
\(143\) −132.001 + 578.335i −0.0771923 + 0.338202i
\(144\) 1063.72 512.263i 0.615581 0.296448i
\(145\) −1805.38 2263.88i −1.03399 1.29659i
\(146\) −1433.20 −0.812416
\(147\) 355.760 2497.68i 0.199610 1.40140i
\(148\) −692.712 −0.384733
\(149\) 419.051 + 525.473i 0.230402 + 0.288915i 0.883571 0.468297i \(-0.155132\pi\)
−0.653169 + 0.757212i \(0.726561\pi\)
\(150\) 6724.92 3238.55i 3.66058 1.76284i
\(151\) −523.276 + 2292.62i −0.282010 + 1.23557i 0.613201 + 0.789927i \(0.289882\pi\)
−0.895212 + 0.445642i \(0.852976\pi\)
\(152\) 878.409 423.019i 0.468739 0.225733i
\(153\) −1095.23 527.434i −0.578719 0.278696i
\(154\) −275.315 1011.06i −0.144062 0.529050i
\(155\) −4415.77 + 2126.52i −2.28828 + 1.10198i
\(156\) 2049.37 2569.83i 1.05180 1.31892i
\(157\) 2145.42 + 1033.18i 1.09059 + 0.525201i 0.890688 0.454614i \(-0.150223\pi\)
0.199903 + 0.979816i \(0.435937\pi\)
\(158\) 386.609 + 484.792i 0.194664 + 0.244101i
\(159\) −66.5164 291.427i −0.0331767 0.145356i
\(160\) −3023.52 3791.37i −1.49394 1.87334i
\(161\) 423.411 + 1554.93i 0.207264 + 0.761151i
\(162\) −1923.05 + 2411.42i −0.932646 + 1.16950i
\(163\) −129.597 62.4104i −0.0622748 0.0299900i 0.402487 0.915426i \(-0.368146\pi\)
−0.464762 + 0.885436i \(0.653860\pi\)
\(164\) −416.300 1823.93i −0.198217 0.868446i
\(165\) 1869.45 0.882038
\(166\) 4213.16 1.96991
\(167\) 290.886 + 1274.46i 0.134787 + 0.590541i 0.996533 + 0.0832006i \(0.0265142\pi\)
−0.861746 + 0.507341i \(0.830629\pi\)
\(168\) −214.308 + 1158.35i −0.0984178 + 0.531958i
\(169\) 47.7093 209.028i 0.0217156 0.0951425i
\(170\) −808.660 + 3542.97i −0.364832 + 1.59843i
\(171\) −1905.06 + 2388.88i −0.851953 + 1.06831i
\(172\) 745.380 934.677i 0.330434 0.414352i
\(173\) −682.849 + 2991.76i −0.300093 + 1.31479i 0.569894 + 0.821718i \(0.306984\pi\)
−0.869987 + 0.493075i \(0.835873\pi\)
\(174\) −1055.04 + 4622.44i −0.459669 + 2.01394i
\(175\) 805.074 4351.50i 0.347759 1.87967i
\(176\) −129.148 565.836i −0.0553121 0.242338i
\(177\) −4421.50 −1.87763
\(178\) 829.559 0.349315
\(179\) −396.301 1736.31i −0.165480 0.725015i −0.987766 0.155941i \(-0.950159\pi\)
0.822286 0.569074i \(-0.192698\pi\)
\(180\) −4675.10 2251.41i −1.93589 0.932278i
\(181\) −51.1137 + 64.0946i −0.0209904 + 0.0263211i −0.792216 0.610241i \(-0.791073\pi\)
0.771226 + 0.636562i \(0.219644\pi\)
\(182\) −920.147 3379.13i −0.374757 1.37625i
\(183\) −3494.66 4382.17i −1.41166 1.77016i
\(184\) −167.442 733.610i −0.0670868 0.293927i
\(185\) −820.975 1029.47i −0.326267 0.409125i
\(186\) 7230.45 + 3482.00i 2.85033 + 1.37265i
\(187\) −372.583 + 467.204i −0.145700 + 0.182702i
\(188\) −5217.75 + 2512.74i −2.02417 + 0.974788i
\(189\) −3.62895 13.3269i −0.00139665 0.00512904i
\(190\) 8229.81 + 3963.27i 3.14239 + 1.51329i
\(191\) 3196.18 1539.20i 1.21083 0.583103i 0.284083 0.958800i \(-0.408311\pi\)
0.926742 + 0.375697i \(0.122597\pi\)
\(192\) −1196.48 + 5242.14i −0.449733 + 1.97041i
\(193\) −3512.67 + 1691.61i −1.31009 + 0.630906i −0.952945 0.303143i \(-0.901964\pi\)
−0.357145 + 0.934049i \(0.616250\pi\)
\(194\) −928.001 1163.68i −0.343436 0.430655i
\(195\) 6247.99 2.29450
\(196\) 2361.84 + 2504.39i 0.860731 + 0.912679i
\(197\) 32.7055 0.0118283 0.00591415 0.999983i \(-0.498117\pi\)
0.00591415 + 0.999983i \(0.498117\pi\)
\(198\) −956.057 1198.86i −0.343152 0.430299i
\(199\) 1581.71 761.712i 0.563440 0.271338i −0.130407 0.991460i \(-0.541629\pi\)
0.693847 + 0.720122i \(0.255914\pi\)
\(200\) −459.801 + 2014.52i −0.162564 + 0.712240i
\(201\) 946.478 455.800i 0.332136 0.159948i
\(202\) −1931.64 930.229i −0.672821 0.324013i
\(203\) 1842.24 + 2123.24i 0.636946 + 0.734099i
\(204\) 2983.24 1436.65i 1.02386 0.493067i
\(205\) 2217.25 2780.34i 0.755410 0.947255i
\(206\) −1944.49 936.416i −0.657665 0.316715i
\(207\) 1470.33 + 1843.74i 0.493697 + 0.619076i
\(208\) −431.634 1891.11i −0.143887 0.630409i
\(209\) 936.501 + 1174.33i 0.309948 + 0.388662i
\(210\) −9736.79 + 5196.70i −3.19954 + 1.70765i
\(211\) 1198.08 1502.34i 0.390896 0.490168i −0.546976 0.837148i \(-0.684221\pi\)
0.937873 + 0.346980i \(0.112793\pi\)
\(212\) 367.480 + 176.969i 0.119050 + 0.0573315i
\(213\) −313.121 1371.87i −0.100726 0.441310i
\(214\) −1788.96 −0.571453
\(215\) 2272.46 0.720840
\(216\) 1.43510 + 6.28760i 0.000452067 + 0.00198063i
\(217\) 4197.57 2240.32i 1.31313 0.700842i
\(218\) 376.786 1650.81i 0.117060 0.512875i
\(219\) −552.345 + 2419.98i −0.170429 + 0.746699i
\(220\) −1590.41 + 1994.31i −0.487388 + 0.611165i
\(221\) −1245.23 + 1561.47i −0.379020 + 0.475275i
\(222\) −479.767 + 2101.99i −0.145044 + 0.635480i
\(223\) −1035.20 + 4535.50i −0.310861 + 1.36197i 0.542239 + 0.840224i \(0.317577\pi\)
−0.853100 + 0.521747i \(0.825280\pi\)
\(224\) 3085.25 + 3555.84i 0.920275 + 1.06064i
\(225\) −1441.00 6313.42i −0.426962 1.87064i
\(226\) 5639.66 1.65993
\(227\) −2477.49 −0.724392 −0.362196 0.932102i \(-0.617973\pi\)
−0.362196 + 0.932102i \(0.617973\pi\)
\(228\) −1851.97 8114.01i −0.537937 2.35686i
\(229\) 2301.90 + 1108.54i 0.664253 + 0.319887i 0.735454 0.677575i \(-0.236969\pi\)
−0.0712012 + 0.997462i \(0.522683\pi\)
\(230\) 4395.57 5511.88i 1.26015 1.58018i
\(231\) −1813.29 + 75.2177i −0.516476 + 0.0214241i
\(232\) −818.369 1026.20i −0.231589 0.290403i
\(233\) −732.462 3209.13i −0.205945 0.902305i −0.967233 0.253890i \(-0.918290\pi\)
0.761288 0.648414i \(-0.224567\pi\)
\(234\) −3195.29 4006.77i −0.892662 1.11936i
\(235\) −9918.17 4776.34i −2.75315 1.32585i
\(236\) 3761.54 4716.82i 1.03752 1.30101i
\(237\) 967.573 465.959i 0.265193 0.127710i
\(238\) 641.818 3469.09i 0.174802 0.944821i
\(239\) −4299.54 2070.55i −1.16366 0.560388i −0.250549 0.968104i \(-0.580611\pi\)
−0.913109 + 0.407716i \(0.866325\pi\)
\(240\) −5507.58 + 2652.31i −1.48130 + 0.713358i
\(241\) −768.227 + 3365.82i −0.205335 + 0.899633i 0.762289 + 0.647237i \(0.224076\pi\)
−0.967624 + 0.252396i \(0.918781\pi\)
\(242\) 4413.70 2125.53i 1.17241 0.564603i
\(243\) 3343.14 + 4192.17i 0.882563 + 1.10670i
\(244\) 7647.90 2.00658
\(245\) −922.724 + 6478.16i −0.240615 + 1.68928i
\(246\) −5822.95 −1.50918
\(247\) 3129.93 + 3924.81i 0.806287 + 1.01105i
\(248\) −2001.64 + 963.940i −0.512518 + 0.246816i
\(249\) 1623.71 7113.96i 0.413248 1.81056i
\(250\) −8317.68 + 4005.58i −2.10422 + 1.01334i
\(251\) −4362.66 2100.95i −1.09709 0.528329i −0.204345 0.978899i \(-0.565507\pi\)
−0.892741 + 0.450570i \(0.851221\pi\)
\(252\) 4625.25 + 1995.68i 1.15620 + 0.498872i
\(253\) 1044.47 502.989i 0.259546 0.124991i
\(254\) 3044.46 3817.63i 0.752072 0.943068i
\(255\) 5670.69 + 2730.86i 1.39260 + 0.670640i
\(256\) 810.267 + 1016.04i 0.197819 + 0.248057i
\(257\) −759.919 3329.42i −0.184445 0.808108i −0.979480 0.201543i \(-0.935404\pi\)
0.795034 0.606565i \(-0.207453\pi\)
\(258\) −2319.98 2909.16i −0.559828 0.702003i
\(259\) 837.737 + 965.516i 0.200982 + 0.231638i
\(260\) −5315.40 + 6665.30i −1.26787 + 1.58986i
\(261\) 3706.15 + 1784.79i 0.878946 + 0.423278i
\(262\) 624.478 + 2736.02i 0.147253 + 0.645159i
\(263\) −6648.55 −1.55881 −0.779405 0.626521i \(-0.784478\pi\)
−0.779405 + 0.626521i \(0.784478\pi\)
\(264\) 847.408 0.197554
\(265\) 172.521 + 755.866i 0.0399921 + 0.175217i
\(266\) −8142.07 3513.09i −1.87678 0.809781i
\(267\) 319.705 1400.72i 0.0732795 0.321059i
\(268\) −318.961 + 1397.46i −0.0727002 + 0.318520i
\(269\) −1464.32 + 1836.20i −0.331901 + 0.416190i −0.919580 0.392904i \(-0.871470\pi\)
0.587679 + 0.809094i \(0.300042\pi\)
\(270\) −37.6734 + 47.2409i −0.00849159 + 0.0106481i
\(271\) −1389.16 + 6086.33i −0.311386 + 1.36427i 0.540851 + 0.841118i \(0.318102\pi\)
−0.852238 + 0.523155i \(0.824755\pi\)
\(272\) 434.813 1905.04i 0.0969279 0.424669i
\(273\) −6060.31 + 251.389i −1.34354 + 0.0557318i
\(274\) −379.253 1661.62i −0.0836187 0.366357i
\(275\) −3183.40 −0.698058
\(276\) −6423.46 −1.40090
\(277\) −1529.52 6701.27i −0.331769 1.45357i −0.815703 0.578471i \(-0.803650\pi\)
0.483934 0.875104i \(-0.339207\pi\)
\(278\) 5998.77 + 2888.86i 1.29418 + 0.623245i
\(279\) 4341.10 5443.56i 0.931522 1.16809i
\(280\) 555.843 3004.39i 0.118636 0.641237i
\(281\) 3819.22 + 4789.15i 0.810802 + 1.01671i 0.999399 + 0.0346592i \(0.0110346\pi\)
−0.188597 + 0.982055i \(0.560394\pi\)
\(282\) 4010.99 + 17573.3i 0.846988 + 3.71090i
\(283\) 5158.83 + 6468.97i 1.08361 + 1.35880i 0.928683 + 0.370873i \(0.120942\pi\)
0.154923 + 0.987926i \(0.450487\pi\)
\(284\) 1729.88 + 833.068i 0.361442 + 0.174061i
\(285\) 9863.73 12368.7i 2.05009 2.57074i
\(286\) −2269.81 + 1093.08i −0.469289 + 0.225998i
\(287\) −2038.78 + 2786.04i −0.419321 + 0.573012i
\(288\) 6206.77 + 2989.02i 1.26992 + 0.611562i
\(289\) 2613.80 1258.74i 0.532017 0.256206i
\(290\) 2736.43 11989.1i 0.554098 2.42766i
\(291\) −2322.52 + 1118.47i −0.467865 + 0.225312i
\(292\) −2111.71 2648.00i −0.423214 0.530694i
\(293\) −3818.41 −0.761344 −0.380672 0.924710i \(-0.624307\pi\)
−0.380672 + 0.924710i \(0.624307\pi\)
\(294\) 9235.23 5432.36i 1.83201 1.07763i
\(295\) 11467.9 2.26335
\(296\) −372.143 466.652i −0.0730756 0.0916339i
\(297\) −8.95187 + 4.31099i −0.00174896 + 0.000842253i
\(298\) −635.157 + 2782.80i −0.123469 + 0.540951i
\(299\) 3490.77 1681.07i 0.675173 0.325146i
\(300\) 15892.2 + 7653.30i 3.05846 + 1.47288i
\(301\) −2204.20 + 91.4332i −0.422087 + 0.0175087i
\(302\) −8997.92 + 4333.17i −1.71448 + 0.825649i
\(303\) −2315.14 + 2903.09i −0.438948 + 0.550424i
\(304\) −4425.13 2131.03i −0.834864 0.402049i
\(305\) 9064.00 + 11365.9i 1.70165 + 2.13380i
\(306\) −1148.79 5033.16i −0.214613 0.940282i
\(307\) −2075.76 2602.92i −0.385895 0.483897i 0.550505 0.834832i \(-0.314435\pi\)
−0.936400 + 0.350935i \(0.885864\pi\)
\(308\) 1462.39 1998.40i 0.270544 0.369705i
\(309\) −2330.54 + 2922.40i −0.429061 + 0.538025i
\(310\) −18753.4 9031.15i −3.43587 1.65463i
\(311\) −1027.63 4502.33i −0.187368 0.820912i −0.977997 0.208617i \(-0.933104\pi\)
0.790630 0.612295i \(-0.209753\pi\)
\(312\) 2832.17 0.513911
\(313\) −6296.90 −1.13713 −0.568565 0.822638i \(-0.692501\pi\)
−0.568565 + 0.822638i \(0.692501\pi\)
\(314\) 2250.33 + 9859.33i 0.404437 + 1.77196i
\(315\) 2515.81 + 9239.00i 0.449999 + 1.65257i
\(316\) −326.070 + 1428.61i −0.0580471 + 0.254321i
\(317\) 1348.97 5910.22i 0.239008 1.04716i −0.702899 0.711290i \(-0.748111\pi\)
0.941907 0.335874i \(-0.109031\pi\)
\(318\) 791.516 992.530i 0.139579 0.175026i
\(319\) 1260.78 1580.97i 0.221286 0.277484i
\(320\) 3103.28 13596.4i 0.542121 2.37519i
\(321\) −689.451 + 3020.68i −0.119880 + 0.525228i
\(322\) −4041.77 + 5523.17i −0.699500 + 0.955883i
\(323\) 1125.29 + 4930.20i 0.193847 + 0.849300i
\(324\) −7288.83 −1.24980
\(325\) −10639.4 −1.81590
\(326\) −135.934 595.565i −0.0230941 0.101182i
\(327\) −2642.19 1272.41i −0.446831 0.215182i
\(328\) 1005.06 1260.31i 0.169193 0.212161i
\(329\) 9812.44 + 4233.81i 1.64431 + 0.709476i
\(330\) 4950.11 + 6207.25i 0.825742 + 1.03545i
\(331\) 1848.19 + 8097.46i 0.306906 + 1.34464i 0.859476 + 0.511176i \(0.170790\pi\)
−0.552570 + 0.833466i \(0.686353\pi\)
\(332\) 6207.75 + 7784.27i 1.02619 + 1.28680i
\(333\) 1685.32 + 811.609i 0.277343 + 0.133561i
\(334\) −3461.42 + 4340.49i −0.567068 + 0.711080i
\(335\) −2454.85 + 1182.19i −0.400367 + 0.192806i
\(336\) 5235.43 2794.24i 0.850047 0.453685i
\(337\) −5826.67 2805.98i −0.941836 0.453565i −0.101020 0.994884i \(-0.532211\pi\)
−0.840817 + 0.541320i \(0.817925\pi\)
\(338\) 820.379 395.074i 0.132020 0.0635774i
\(339\) 2173.48 9522.63i 0.348222 1.52566i
\(340\) −7737.53 + 3726.20i −1.23420 + 0.594357i
\(341\) −2134.02 2675.97i −0.338896 0.424962i
\(342\) −12976.4 −2.05170
\(343\) 634.357 6320.70i 0.0998603 0.995001i
\(344\) 1030.09 0.161450
\(345\) −7612.85 9546.21i −1.18801 1.48971i
\(346\) −11741.8 + 5654.58i −1.82441 + 0.878589i
\(347\) 349.319 1530.47i 0.0540416 0.236772i −0.940693 0.339260i \(-0.889823\pi\)
0.994734 + 0.102489i \(0.0326805\pi\)
\(348\) −10095.0 + 4861.49i −1.55502 + 0.748860i
\(349\) 925.636 + 445.763i 0.141972 + 0.0683700i 0.503521 0.863983i \(-0.332038\pi\)
−0.361549 + 0.932353i \(0.617752\pi\)
\(350\) 16580.3 8849.22i 2.53216 1.35146i
\(351\) −29.9186 + 14.4080i −0.00454967 + 0.00219101i
\(352\) 2111.47 2647.69i 0.319720 0.400916i
\(353\) 8828.35 + 4251.51i 1.33112 + 0.641034i 0.958005 0.286751i \(-0.0925752\pi\)
0.373115 + 0.927785i \(0.378290\pi\)
\(354\) −11707.7 14681.0i −1.75779 2.20420i
\(355\) 812.131 + 3558.18i 0.121418 + 0.531968i
\(356\) 1222.29 + 1532.70i 0.181970 + 0.228183i
\(357\) −5610.24 2420.67i −0.831724 0.358867i
\(358\) 4715.81 5913.44i 0.696196 0.873003i
\(359\) −2989.56 1439.70i −0.439507 0.211656i 0.201026 0.979586i \(-0.435572\pi\)
−0.640533 + 0.767930i \(0.721287\pi\)
\(360\) −994.900 4358.94i −0.145655 0.638157i
\(361\) 5851.93 0.853175
\(362\) −348.162 −0.0505497
\(363\) −1887.97 8271.74i −0.272983 1.19602i
\(364\) 4887.56 6678.95i 0.703784 0.961737i
\(365\) 1432.60 6276.63i 0.205440 0.900092i
\(366\) 5296.87 23207.1i 0.756481 3.31436i
\(367\) 6718.50 8424.74i 0.955594 1.19828i −0.0244911 0.999700i \(-0.507797\pi\)
0.980085 0.198577i \(-0.0636320\pi\)
\(368\) −2363.48 + 2963.71i −0.334796 + 0.419821i
\(369\) −1124.16 + 4925.27i −0.158595 + 0.694849i
\(370\) 1244.36 5451.88i 0.174840 0.766026i
\(371\) −197.752 726.220i −0.0276732 0.101627i
\(372\) 4220.11 + 18489.5i 0.588179 + 2.57698i
\(373\) −6579.23 −0.913297 −0.456649 0.889647i \(-0.650950\pi\)
−0.456649 + 0.889647i \(0.650950\pi\)
\(374\) −2537.85 −0.350880
\(375\) 3557.91 + 15588.2i 0.489945 + 2.14659i
\(376\) −4495.84 2165.08i −0.616637 0.296957i
\(377\) 4213.74 5283.86i 0.575647 0.721838i
\(378\) 34.6410 47.3377i 0.00471360 0.00644125i
\(379\) 1226.83 + 1538.40i 0.166275 + 0.208502i 0.857987 0.513671i \(-0.171715\pi\)
−0.691712 + 0.722173i \(0.743143\pi\)
\(380\) 4803.40 + 21045.1i 0.648445 + 2.84102i
\(381\) −5272.80 6611.88i −0.709012 0.889073i
\(382\) 13573.9 + 6536.84i 1.81806 + 0.875534i
\(383\) 476.894 598.006i 0.0636244 0.0797825i −0.749001 0.662569i \(-0.769466\pi\)
0.812625 + 0.582786i \(0.198038\pi\)
\(384\) −7097.76 + 3418.10i −0.943246 + 0.454243i
\(385\) 4703.08 195.090i 0.622575 0.0258252i
\(386\) −14918.0 7184.12i −1.96711 0.947311i
\(387\) −2908.57 + 1400.69i −0.382044 + 0.183983i
\(388\) 782.686 3429.17i 0.102409 0.448685i
\(389\) −4401.68 + 2119.74i −0.573713 + 0.276285i −0.698161 0.715941i \(-0.745998\pi\)
0.124449 + 0.992226i \(0.460284\pi\)
\(390\) 16544.1 + 20745.6i 2.14805 + 2.69358i
\(391\) 3903.00 0.504816
\(392\) −418.265 + 2936.51i −0.0538917 + 0.378357i
\(393\) 4860.46 0.623862
\(394\) 86.6011 + 108.594i 0.0110734 + 0.0138855i
\(395\) −2509.56 + 1208.54i −0.319671 + 0.153945i
\(396\) 806.349 3532.85i 0.102325 0.448313i
\(397\) 7039.35 3389.97i 0.889911 0.428559i 0.0676766 0.997707i \(-0.478441\pi\)
0.822235 + 0.569149i \(0.192727\pi\)
\(398\) 6717.38 + 3234.92i 0.846010 + 0.407417i
\(399\) −9069.79 + 12394.1i −1.13799 + 1.55509i
\(400\) 9378.60 4516.50i 1.17233 0.564562i
\(401\) −4149.29 + 5203.05i −0.516723 + 0.647950i −0.969909 0.243466i \(-0.921716\pi\)
0.453187 + 0.891416i \(0.350287\pi\)
\(402\) 4019.60 + 1935.74i 0.498706 + 0.240164i
\(403\) −7132.22 8943.52i −0.881591 1.10548i
\(404\) −1127.42 4939.54i −0.138839 0.608295i
\(405\) −8638.44 10832.3i −1.05987 1.32904i
\(406\) −2171.85 + 11739.0i −0.265485 + 1.43497i
\(407\) 573.326 718.928i 0.0698248 0.0875576i
\(408\) 2570.49 + 1237.88i 0.311907 + 0.150207i
\(409\) 1567.12 + 6866.00i 0.189460 + 0.830078i 0.976902 + 0.213689i \(0.0685479\pi\)
−0.787442 + 0.616389i \(0.788595\pi\)
\(410\) 15102.8 1.81920
\(411\) −2951.82 −0.354264
\(412\) −1134.92 4972.40i −0.135712 0.594593i
\(413\) −11123.5 + 461.415i −1.32530 + 0.0549752i
\(414\) −2228.59 + 9764.09i −0.264563 + 1.15913i
\(415\) −4211.38 + 18451.3i −0.498141 + 2.18250i
\(416\) 7056.85 8849.01i 0.831708 1.04293i
\(417\) 7189.74 9015.65i 0.844324 1.05875i
\(418\) −1419.46 + 6219.05i −0.166096 + 0.727712i
\(419\) 485.159 2125.62i 0.0565670 0.247836i −0.938737 0.344634i \(-0.888003\pi\)
0.995304 + 0.0967981i \(0.0308601\pi\)
\(420\) −23947.9 10332.9i −2.78223 1.20046i
\(421\) 2278.03 + 9980.72i 0.263716 + 1.15542i 0.917185 + 0.398463i \(0.130456\pi\)
−0.653468 + 0.756954i \(0.726687\pi\)
\(422\) 8160.72 0.941369
\(423\) 15638.5 1.79756
\(424\) 78.2028 + 342.629i 0.00895723 + 0.0392442i
\(425\) −9656.37 4650.26i −1.10212 0.530755i
\(426\) 3726.00 4672.26i 0.423768 0.531389i
\(427\) −9249.05 10659.8i −1.04823 1.20811i
\(428\) −2635.89 3305.31i −0.297689 0.373290i
\(429\) 970.918 + 4253.87i 0.109269 + 0.478738i
\(430\) 6017.26 + 7545.41i 0.674833 + 0.846214i
\(431\) −9404.51 4528.98i −1.05104 0.506156i −0.173092 0.984906i \(-0.555376\pi\)
−0.877951 + 0.478750i \(0.841090\pi\)
\(432\) 20.2568 25.4012i 0.00225603 0.00282898i
\(433\) 2133.06 1027.23i 0.236740 0.114008i −0.311753 0.950163i \(-0.600916\pi\)
0.548493 + 0.836155i \(0.315202\pi\)
\(434\) 18553.5 + 8005.33i 2.05206 + 0.885411i
\(435\) −19189.1 9240.97i −2.11505 1.01855i
\(436\) 3605.21 1736.18i 0.396005 0.190706i
\(437\) 2183.00 9564.36i 0.238964 1.04697i
\(438\) −9497.78 + 4573.89i −1.03612 + 0.498970i
\(439\) −665.318 834.282i −0.0723323 0.0907019i 0.744349 0.667791i \(-0.232760\pi\)
−0.816681 + 0.577089i \(0.804189\pi\)
\(440\) −2197.90 −0.238138
\(441\) −2811.97 8860.26i −0.303636 0.956729i
\(442\) −8481.91 −0.912767
\(443\) 2891.31 + 3625.59i 0.310091 + 0.388842i 0.912318 0.409483i \(-0.134291\pi\)
−0.602227 + 0.798325i \(0.705720\pi\)
\(444\) −4590.57 + 2210.70i −0.490673 + 0.236296i
\(445\) −829.209 + 3633.00i −0.0883332 + 0.387013i
\(446\) −17800.6 + 8572.33i −1.88988 + 0.910116i
\(447\) 4454.01 + 2144.94i 0.471292 + 0.226962i
\(448\) −2463.02 + 13312.8i −0.259747 + 1.40396i
\(449\) −4098.23 + 1973.60i −0.430751 + 0.207439i −0.636680 0.771128i \(-0.719693\pi\)
0.205929 + 0.978567i \(0.433978\pi\)
\(450\) 17147.2 21502.0i 1.79629 2.25247i
\(451\) 2237.51 + 1077.53i 0.233615 + 0.112503i
\(452\) 8309.59 + 10419.9i 0.864713 + 1.08432i
\(453\) 3848.88 + 16863.1i 0.399197 + 1.74900i
\(454\) −6560.16 8226.18i −0.678158 0.850383i
\(455\) 15718.4 652.021i 1.61954 0.0671807i
\(456\) 4471.16 5606.66i 0.459170 0.575781i
\(457\) 6004.18 + 2891.46i 0.614582 + 0.295967i 0.715158 0.698962i \(-0.246354\pi\)
−0.100577 + 0.994929i \(0.532069\pi\)
\(458\) 2414.46 + 10578.5i 0.246333 + 1.07925i
\(459\) −33.4516 −0.00340172
\(460\) 16660.3 1.68868
\(461\) 2626.95 + 11509.4i 0.265400 + 1.16279i 0.915300 + 0.402773i \(0.131953\pi\)
−0.649900 + 0.760019i \(0.725189\pi\)
\(462\) −5051.18 5821.63i −0.508662 0.586248i
\(463\) 1686.31 7388.22i 0.169265 0.741597i −0.817029 0.576597i \(-0.804380\pi\)
0.986293 0.165000i \(-0.0527625\pi\)
\(464\) −1471.36 + 6446.47i −0.147212 + 0.644978i
\(465\) −22476.6 + 28184.8i −2.24156 + 2.81083i
\(466\) 8715.99 10929.5i 0.866439 1.08648i
\(467\) −567.081 + 2484.54i −0.0561914 + 0.246191i −0.995221 0.0976449i \(-0.968869\pi\)
0.939030 + 0.343835i \(0.111726\pi\)
\(468\) 2694.95 11807.3i 0.266184 1.16623i
\(469\) 2333.55 1245.46i 0.229751 0.122622i
\(470\) −10403.2 45579.3i −1.02098 4.47322i
\(471\) 17514.8 1.71346
\(472\) 5198.33 0.506934
\(473\) 353.134 + 1547.18i 0.0343279 + 0.150400i
\(474\) 4109.19 + 1978.88i 0.398189 + 0.191758i
\(475\) −16796.5 + 21062.1i −1.62248 + 2.03452i
\(476\) 7355.19 3925.59i 0.708245 0.378003i
\(477\) −686.712 861.109i −0.0659169 0.0826572i
\(478\) −4509.79 19758.7i −0.431533 1.89067i
\(479\) −5802.66 7276.31i −0.553508 0.694077i 0.423835 0.905740i \(-0.360684\pi\)
−0.977343 + 0.211662i \(0.932112\pi\)
\(480\) −32136.4 15476.1i −3.05587 1.47163i
\(481\) 1916.15 2402.77i 0.181640 0.227769i
\(482\) −13209.9 + 6361.57i −1.24833 + 0.601165i
\(483\) 7768.27 + 8953.16i 0.731819 + 0.843443i
\(484\) 10430.4 + 5023.01i 0.979563 + 0.471733i
\(485\) 6023.86 2900.94i 0.563978 0.271598i
\(486\) −5067.21 + 22200.9i −0.472950 + 2.07213i
\(487\) 9918.24 4776.37i 0.922871 0.444431i 0.0887757 0.996052i \(-0.471705\pi\)
0.834095 + 0.551620i \(0.185990\pi\)
\(488\) 4108.65 + 5152.09i 0.381127 + 0.477918i
\(489\) −1058.01 −0.0978419
\(490\) −23953.1 + 14089.8i −2.20835 + 1.29900i
\(491\) −3023.90 −0.277937 −0.138968 0.990297i \(-0.544379\pi\)
−0.138968 + 0.990297i \(0.544379\pi\)
\(492\) −8579.65 10758.5i −0.786180 0.985838i
\(493\) 6133.87 2953.92i 0.560356 0.269853i
\(494\) −4744.05 + 20785.1i −0.432075 + 1.89304i
\(495\) 6205.98 2988.64i 0.563511 0.271373i
\(496\) 10083.6 + 4856.01i 0.912837 + 0.439599i
\(497\) −930.901 3418.62i −0.0840173 0.308544i
\(498\) 27920.4 13445.8i 2.51233 1.20988i
\(499\) 7985.95 10014.1i 0.716433 0.898379i −0.281697 0.959503i \(-0.590897\pi\)
0.998130 + 0.0611244i \(0.0194686\pi\)
\(500\) −19656.2 9465.93i −1.75810 0.846658i
\(501\) 5994.96 + 7517.44i 0.534600 + 0.670368i
\(502\) −4575.99 20048.7i −0.406846 1.78251i
\(503\) 4306.32 + 5399.95i 0.381728 + 0.478672i 0.935162 0.354221i \(-0.115254\pi\)
−0.553433 + 0.832893i \(0.686683\pi\)
\(504\) 1140.40 + 4187.98i 0.100789 + 0.370134i
\(505\) 6004.71 7529.66i 0.529121 0.663496i
\(506\) 4435.75 + 2136.15i 0.389710 + 0.187674i
\(507\) −350.919 1537.48i −0.0307394 0.134678i
\(508\) 11539.3 1.00782
\(509\) −6242.71 −0.543621 −0.271811 0.962351i \(-0.587622\pi\)
−0.271811 + 0.962351i \(0.587622\pi\)
\(510\) 5947.99 + 26059.8i 0.516434 + 2.26265i
\(511\) −1137.03 + 6145.74i −0.0984326 + 0.532038i
\(512\) −3134.76 + 13734.3i −0.270583 + 1.18550i
\(513\) −18.7100 + 81.9738i −0.00161026 + 0.00705503i
\(514\) 9042.71 11339.2i 0.775986 0.973056i
\(515\) 6044.65 7579.75i 0.517202 0.648551i
\(516\) 1956.70 8572.85i 0.166936 0.731393i
\(517\) 1710.66 7494.90i 0.145522 0.637573i
\(518\) −987.621 + 5338.19i −0.0837714 + 0.452792i
\(519\) 5022.60 + 22005.5i 0.424794 + 1.86114i
\(520\) −7345.72 −0.619483
\(521\) 18869.9 1.58677 0.793383 0.608722i \(-0.208318\pi\)
0.793383 + 0.608722i \(0.208318\pi\)
\(522\) 3887.38 + 17031.7i 0.325950 + 1.42808i
\(523\) −12733.6 6132.17i −1.06463 0.512698i −0.182256 0.983251i \(-0.558340\pi\)
−0.882372 + 0.470553i \(0.844054\pi\)
\(524\) −4134.97 + 5185.09i −0.344728 + 0.432275i
\(525\) −8552.08 31406.5i −0.710940 2.61084i
\(526\) −17604.7 22075.6i −1.45932 1.82993i
\(527\) −2564.20 11234.5i −0.211952 0.928621i
\(528\) −2661.65 3337.61i −0.219382 0.275096i
\(529\) 4140.28 + 1993.86i 0.340288 + 0.163874i
\(530\) −2052.93 + 2574.29i −0.168252 + 0.210981i
\(531\) −14678.0 + 7068.56i −1.19957 + 0.577682i
\(532\) −5505.87 20219.7i −0.448703 1.64781i
\(533\) 7478.12 + 3601.27i 0.607718 + 0.292661i
\(534\) 5497.45 2647.43i 0.445502 0.214542i
\(535\) 1788.21 7834.65i 0.144506 0.633124i
\(536\) −1112.77 + 535.881i −0.0896721 + 0.0431838i
\(537\) −8167.47 10241.7i −0.656336 0.823019i
\(538\) −9974.25 −0.799294
\(539\) −4553.96 + 378.460i −0.363921 + 0.0302438i
\(540\) −142.792 −0.0113792
\(541\) 3411.57 + 4277.97i 0.271118 + 0.339971i 0.898688 0.438589i \(-0.144522\pi\)
−0.627570 + 0.778560i \(0.715950\pi\)
\(542\) −23887.2 + 11503.5i −1.89307 + 0.911654i
\(543\) −134.179 + 587.875i −0.0106043 + 0.0464606i
\(544\) 10272.5 4946.99i 0.809617 0.389891i
\(545\) 6852.97 + 3300.22i 0.538622 + 0.259387i
\(546\) −16881.8 19456.8i −1.32322 1.52504i
\(547\) −5951.60 + 2866.14i −0.465214 + 0.224035i −0.651781 0.758407i \(-0.725978\pi\)
0.186567 + 0.982442i \(0.440264\pi\)
\(548\) 2511.22 3148.97i 0.195756 0.245470i
\(549\) −18606.9 8960.59i −1.44649 0.696592i
\(550\) −8429.33 10570.0i −0.653505 0.819469i
\(551\) −3807.86 16683.3i −0.294411 1.28990i
\(552\) −3450.85 4327.23i −0.266084 0.333658i
\(553\) 2385.56 1273.21i 0.183443 0.0979070i
\(554\) 18200.6 22822.9i 1.39580 1.75027i
\(555\) −8725.99 4202.22i −0.667383 0.321395i
\(556\) 3501.23 + 15339.9i 0.267060 + 1.17007i
\(557\) −15261.4 −1.16095 −0.580474 0.814279i \(-0.697133\pi\)
−0.580474 + 0.814279i \(0.697133\pi\)
\(558\) 29569.4 2.24332
\(559\) 1180.23 + 5170.92i 0.0892994 + 0.391246i
\(560\) −13579.0 + 7247.33i −1.02467 + 0.546885i
\(561\) −978.067 + 4285.19i −0.0736079 + 0.322497i
\(562\) −5788.80 + 25362.4i −0.434494 + 1.90364i
\(563\) 6862.07 8604.77i 0.513680 0.644135i −0.455573 0.890198i \(-0.650566\pi\)
0.969254 + 0.246064i \(0.0791372\pi\)
\(564\) −26558.7 + 33303.6i −1.98284 + 2.48641i
\(565\) −5637.28 + 24698.5i −0.419756 + 1.83907i
\(566\) −7819.26 + 34258.4i −0.580686 + 2.54415i
\(567\) 8814.81 + 10159.3i 0.652887 + 0.752472i
\(568\) 368.134 + 1612.90i 0.0271946 + 0.119147i
\(569\) −18681.3 −1.37638 −0.688191 0.725530i \(-0.741595\pi\)
−0.688191 + 0.725530i \(0.741595\pi\)
\(570\) 67186.9 4.93710
\(571\) 137.361 + 601.818i 0.0100672 + 0.0441073i 0.979712 0.200410i \(-0.0642275\pi\)
−0.969645 + 0.244518i \(0.921370\pi\)
\(572\) −5363.98 2583.16i −0.392097 0.188824i
\(573\) 16268.8 20400.4i 1.18611 1.48733i
\(574\) −14649.1 + 607.665i −1.06523 + 0.0441872i
\(575\) 12963.6 + 16255.8i 0.940206 + 1.17898i
\(576\) 4408.54 + 19315.1i 0.318904 + 1.39721i
\(577\) 3878.62 + 4863.63i 0.279842 + 0.350911i 0.901811 0.432131i \(-0.142238\pi\)
−0.621968 + 0.783042i \(0.713667\pi\)
\(578\) 11100.6 + 5345.75i 0.798828 + 0.384695i
\(579\) −17879.7 + 22420.5i −1.28334 + 1.60926i
\(580\) 26183.0 12609.1i 1.87447 0.902697i
\(581\) 3342.49 18066.5i 0.238674 1.29006i
\(582\) −9863.55 4750.03i −0.702504 0.338308i
\(583\) −487.813 + 234.918i −0.0346538 + 0.0166884i
\(584\) 649.388 2845.15i 0.0460135 0.201598i
\(585\) 20741.4 9988.51i 1.46590 0.705939i
\(586\) −10110.8 12678.5i −0.712751 0.893762i
\(587\) −21735.5 −1.52832 −0.764158 0.645029i \(-0.776845\pi\)
−0.764158 + 0.645029i \(0.776845\pi\)
\(588\) 23644.3 + 9058.96i 1.65829 + 0.635349i
\(589\) −28964.6 −2.02625
\(590\) 30365.9 + 38077.7i 2.11889 + 2.65701i
\(591\) 216.738 104.376i 0.0150853 0.00726470i
\(592\) −669.084 + 2931.45i −0.0464513 + 0.203517i
\(593\) 16852.1 8115.56i 1.16701 0.562000i 0.252907 0.967491i \(-0.418613\pi\)
0.914099 + 0.405490i \(0.132899\pi\)
\(594\) −38.0178 18.3084i −0.00262607 0.00126465i
\(595\) 14551.1 + 6278.42i 1.00258 + 0.432589i
\(596\) −6077.39 + 2926.72i −0.417684 + 0.201146i
\(597\) 8051.02 10095.7i 0.551937 0.692107i
\(598\) 14825.0 + 7139.34i 1.01378 + 0.488210i
\(599\) 3276.45 + 4108.54i 0.223493 + 0.280251i 0.880918 0.473269i \(-0.156926\pi\)
−0.657425 + 0.753520i \(0.728355\pi\)
\(600\) 3382.00 + 14817.5i 0.230116 + 1.00820i
\(601\) 8429.28 + 10570.0i 0.572109 + 0.717402i 0.980744 0.195296i \(-0.0625666\pi\)
−0.408635 + 0.912698i \(0.633995\pi\)
\(602\) −6140.11 7076.66i −0.415701 0.479108i
\(603\) 2413.33 3026.23i 0.162983 0.204374i
\(604\) −21263.7 10240.1i −1.43247 0.689839i
\(605\) 4896.77 + 21454.2i 0.329061 + 1.44171i
\(606\) −15769.6 −1.05709
\(607\) 23957.3 1.60197 0.800985 0.598685i \(-0.204310\pi\)
0.800985 + 0.598685i \(0.204310\pi\)
\(608\) −6377.11 27940.0i −0.425372 1.86368i
\(609\) 18984.5 + 8191.32i 1.26320 + 0.545040i
\(610\) −13738.3 + 60191.6i −0.911884 + 3.99522i
\(611\) 5717.30 25049.1i 0.378555 1.65856i
\(612\) 7606.67 9538.47i 0.502421 0.630016i
\(613\) 13185.5 16534.1i 0.868772 1.08941i −0.126470 0.991970i \(-0.540365\pi\)
0.995242 0.0974355i \(-0.0310640\pi\)
\(614\) 3146.24 13784.6i 0.206794 0.906026i
\(615\) 5820.49 25501.2i 0.381634 1.67205i
\(616\) 2131.88 88.4329i 0.139441 0.00578420i
\(617\) 6592.30 + 28882.8i 0.430140 + 1.88457i 0.465246 + 0.885181i \(0.345966\pi\)
−0.0351063 + 0.999384i \(0.511177\pi\)
\(618\) −15874.5 −1.03328
\(619\) −24351.3 −1.58120 −0.790599 0.612334i \(-0.790231\pi\)
−0.790599 + 0.612334i \(0.790231\pi\)
\(620\) −10945.6 47955.7i −0.709007 3.10636i
\(621\) 58.4680 + 28.1567i 0.00377816 + 0.00181947i
\(622\) 12228.3 15333.8i 0.788281 0.988474i
\(623\) 658.127 3557.24i 0.0423231 0.228761i
\(624\) −8895.67 11154.8i −0.570692 0.715625i
\(625\) −2581.71 11311.2i −0.165229 0.723917i
\(626\) −16673.6 20908.0i −1.06455 1.33491i
\(627\) 9953.89 + 4793.54i 0.634003 + 0.305320i
\(628\) −14900.5 + 18684.7i −0.946808 + 1.18726i
\(629\) 2789.30 1343.26i 0.176815 0.0851497i
\(630\) −24015.3 + 32817.4i −1.51872 + 2.07536i
\(631\) 6910.86 + 3328.10i 0.436002 + 0.209967i 0.638992 0.769213i \(-0.279352\pi\)
−0.202990 + 0.979181i \(0.565066\pi\)
\(632\) −1137.57 + 547.824i −0.0715982 + 0.0344799i
\(633\) 3145.07 13779.5i 0.197481 0.865221i
\(634\) 23196.0 11170.6i 1.45305 0.699750i
\(635\) 13675.9 + 17149.0i 0.854663 + 1.07171i
\(636\) 3000.05 0.187043
\(637\) −15220.1 + 1264.87i −0.946689 + 0.0786751i
\(638\) 8587.85 0.532909
\(639\) −3232.64 4053.60i −0.200127 0.250952i
\(640\) 18409.3 8865.43i 1.13701 0.547558i
\(641\) −2668.09 + 11689.6i −0.164404 + 0.720302i 0.823765 + 0.566932i \(0.191870\pi\)
−0.988169 + 0.153370i \(0.950987\pi\)
\(642\) −11855.4 + 5709.25i −0.728807 + 0.350975i
\(643\) −7458.62 3591.88i −0.457448 0.220295i 0.190946 0.981601i \(-0.438845\pi\)
−0.648394 + 0.761305i \(0.724559\pi\)
\(644\) −16159.9 + 670.333i −0.988803 + 0.0410168i
\(645\) 15059.5 7252.28i 0.919330 0.442726i
\(646\) −13390.4 + 16791.1i −0.815541 + 1.02266i
\(647\) −25596.3 12326.5i −1.55532 0.749004i −0.558565 0.829461i \(-0.688648\pi\)
−0.996758 + 0.0804571i \(0.974362\pi\)
\(648\) −3915.75 4910.20i −0.237385 0.297671i
\(649\) 1782.08 + 7807.80i 0.107785 + 0.472239i
\(650\) −28172.1 35326.7i −1.70000 2.13174i
\(651\) 20667.4 28242.5i 1.24427 1.70033i
\(652\) 900.085 1128.67i 0.0540645 0.0677947i
\(653\) −1803.79 868.658i −0.108098 0.0520570i 0.379054 0.925375i \(-0.376250\pi\)
−0.487151 + 0.873318i \(0.661964\pi\)
\(654\) −2771.40 12142.3i −0.165704 0.725995i
\(655\) −12606.4 −0.752021
\(656\) −8120.70 −0.483323
\(657\) 2035.16 + 8916.60i 0.120851 + 0.529482i
\(658\) 11924.6 + 43791.6i 0.706487 + 2.59449i
\(659\) 5688.16 24921.4i 0.336235 1.47314i −0.470589 0.882353i \(-0.655959\pi\)
0.806824 0.590791i \(-0.201184\pi\)
\(660\) −4174.98 + 18291.8i −0.246229 + 1.07880i
\(661\) −10279.3 + 12889.9i −0.604870 + 0.758483i −0.986128 0.165986i \(-0.946919\pi\)
0.381258 + 0.924469i \(0.375491\pi\)
\(662\) −21992.7 + 27578.0i −1.29119 + 1.61911i
\(663\) −3268.86 + 14321.8i −0.191481 + 0.838933i
\(664\) −1908.99 + 8363.83i −0.111571 + 0.488825i
\(665\) 23524.0 32146.1i 1.37176 1.87454i
\(666\) 1767.74 + 7744.96i 0.102850 + 0.450617i
\(667\) −13207.4 −0.766703
\(668\) −13119.7 −0.759903
\(669\) 7614.27 + 33360.3i 0.440037 + 1.92793i
\(670\) −10425.5 5020.67i −0.601154 0.289500i
\(671\) −6329.82 + 7937.34i −0.364173 + 0.456658i
\(672\) 31793.8 + 13718.2i 1.82511 + 0.787487i
\(673\) −6016.29 7544.18i −0.344593 0.432105i 0.579090 0.815263i \(-0.303408\pi\)
−0.923683 + 0.383158i \(0.874836\pi\)
\(674\) −6111.59 26776.6i −0.349273 1.53026i
\(675\) −111.108 139.325i −0.00633560 0.00794460i
\(676\) 1938.71 + 933.632i 0.110304 + 0.0531197i
\(677\) 4604.74 5774.16i 0.261410 0.327798i −0.633754 0.773535i \(-0.718487\pi\)
0.895164 + 0.445737i \(0.147058\pi\)
\(678\) 37373.8 17998.3i 2.11701 1.01950i
\(679\) −5726.20 + 3056.17i −0.323640 + 0.172732i
\(680\) −6667.00 3210.66i −0.375982 0.181063i
\(681\) −16418.2 + 7906.60i −0.923859 + 0.444907i
\(682\) 3234.54 14171.4i 0.181608 0.795678i
\(683\) −13356.1 + 6431.97i −0.748255 + 0.360340i −0.768835 0.639448i \(-0.779163\pi\)
0.0205800 + 0.999788i \(0.493449\pi\)
\(684\) −19119.7 23975.3i −1.06880 1.34023i
\(685\) 7656.04 0.427040
\(686\) 22666.7 14630.3i 1.26155 0.814267i
\(687\) 18792.3 1.04363
\(688\) −3235.45 4057.13i −0.179289 0.224821i
\(689\) −1630.35 + 785.134i −0.0901470 + 0.0434125i
\(690\) 11538.8 50554.9i 0.636631 2.78926i
\(691\) 9037.36 4352.17i 0.497536 0.239601i −0.168249 0.985745i \(-0.553811\pi\)
0.665785 + 0.746144i \(0.268097\pi\)
\(692\) −27748.1 13362.8i −1.52432 0.734072i
\(693\) −5899.32 + 3148.57i −0.323372 + 0.172589i
\(694\) 6006.67 2892.66i 0.328545 0.158219i
\(695\) −18647.8 + 23383.6i −1.01777 + 1.27625i
\(696\) −8698.29 4188.87i −0.473718 0.228131i
\(697\) 5213.13 + 6537.06i 0.283302 + 0.355249i
\(698\) 970.899 + 4253.79i 0.0526491 + 0.230671i
\(699\) −15095.5 18929.2i −0.816831 1.02427i
\(700\) 40779.7 + 17595.4i 2.20190 + 0.950062i
\(701\) −12506.3 + 15682.4i −0.673832 + 0.844959i −0.994770 0.102141i \(-0.967431\pi\)
0.320938 + 0.947100i \(0.396002\pi\)
\(702\) −127.061 61.1895i −0.00683137 0.00328982i
\(703\) −1731.58 7586.53i −0.0928985 0.407015i
\(704\) 9739.17 0.521390
\(705\) −80970.4 −4.32556
\(706\) 9260.05 + 40570.9i 0.493635 + 2.16276i
\(707\) −5521.38 + 7545.09i −0.293710 + 0.401361i
\(708\) 9874.41 43262.6i 0.524157 2.29648i
\(709\) 5991.95 26252.4i 0.317394 1.39059i −0.524711 0.851280i \(-0.675827\pi\)
0.842105 0.539313i \(-0.181316\pi\)
\(710\) −9664.01 + 12118.3i −0.510822 + 0.640551i
\(711\) 2467.12 3093.67i 0.130133 0.163181i
\(712\) −375.875 + 1646.82i −0.0197844 + 0.0866813i
\(713\) −4974.44 + 21794.4i −0.261282 + 1.14475i
\(714\) −6817.85 25037.8i −0.357355 1.31235i
\(715\) −2518.24 11033.1i −0.131716 0.577085i
\(716\) 17874.1 0.932943
\(717\) −35100.8 −1.82826
\(718\) −3135.75 13738.6i −0.162988 0.714096i
\(719\) 14193.5 + 6835.23i 0.736201 + 0.354536i 0.764120 0.645075i \(-0.223174\pi\)
−0.0279190 + 0.999610i \(0.508888\pi\)
\(720\) −14043.2 + 17609.7i −0.726890 + 0.911491i
\(721\) −5558.11 + 7595.28i −0.287094 + 0.392320i
\(722\) 15495.3 + 19430.5i 0.798722 + 1.00157i
\(723\) 5650.59 + 24756.8i 0.290661 + 1.27347i
\(724\) −512.989 643.268i −0.0263330 0.0330205i
\(725\) 32676.2 + 15736.0i 1.67388 + 0.806099i
\(726\) 22466.1 28171.5i 1.14848 1.44014i
\(727\) 6596.15 3176.54i 0.336503 0.162051i −0.257999 0.966145i \(-0.583063\pi\)
0.594503 + 0.804094i \(0.297349\pi\)
\(728\) 7125.07 295.557i 0.362737 0.0150468i
\(729\) 17866.7 + 8604.15i 0.907723 + 0.437136i
\(730\) 24634.1 11863.2i 1.24897 0.601472i
\(731\) −1188.92 + 5209.00i −0.0601556 + 0.263559i
\(732\) 50682.3 24407.3i 2.55911 1.23240i
\(733\) 17456.2 + 21889.4i 0.879616 + 1.10300i 0.993980 + 0.109565i \(0.0349457\pi\)
−0.114363 + 0.993439i \(0.536483\pi\)
\(734\) 45763.2 2.30129
\(735\) 14559.4 + 45875.2i 0.730653 + 2.30222i
\(736\) −22118.7 −1.10775
\(737\) −1186.36 1487.65i −0.0592945 0.0743530i
\(738\) −19330.4 + 9309.01i −0.964174 + 0.464322i
\(739\) 2945.58 12905.4i 0.146624 0.642401i −0.847185 0.531298i \(-0.821705\pi\)
0.993809 0.111103i \(-0.0354383\pi\)
\(740\) 11906.4 5733.83i 0.591471 0.284837i
\(741\) 33267.5 + 16020.8i 1.64927 + 0.794248i
\(742\) 1887.69 2579.57i 0.0933952 0.127627i
\(743\) 6239.54 3004.80i 0.308084 0.148365i −0.273453 0.961885i \(-0.588166\pi\)
0.581537 + 0.813520i \(0.302452\pi\)
\(744\) −10188.5 + 12776.0i −0.502054 + 0.629556i
\(745\) −11552.2 5563.26i −0.568108 0.273587i
\(746\) −17421.2 21845.5i −0.855006 1.07214i
\(747\) −5982.70 26211.9i −0.293033 1.28386i
\(748\) −3739.33 4688.97i −0.182785 0.229205i
\(749\) −1419.27 + 7671.27i −0.0692374 + 0.374235i
\(750\) −42337.6 + 53089.6i −2.06127 + 2.58475i
\(751\) −22850.9 11004.4i −1.11031 0.534696i −0.213423 0.976960i \(-0.568461\pi\)
−0.896885 + 0.442263i \(0.854176\pi\)
\(752\) 5593.74 + 24507.8i 0.271253 + 1.18844i
\(753\) −35616.1 −1.72367
\(754\) 28701.9 1.38629
\(755\) −9982.73 43737.2i −0.481204 2.10829i
\(756\) 138.503 5.74526i 0.00666308 0.000276393i
\(757\) −8940.89 + 39172.6i −0.429276 + 1.88078i 0.0425551 + 0.999094i \(0.486450\pi\)
−0.471832 + 0.881689i \(0.656407\pi\)
\(758\) −1859.52 + 8147.07i −0.0891038 + 0.390389i
\(759\) 5316.41 6666.57i 0.254247 0.318816i
\(760\) −11596.7 + 14541.8i −0.553496 + 0.694062i
\(761\) 3105.89 13607.8i 0.147948 0.648203i −0.845505 0.533967i \(-0.820701\pi\)
0.993454 0.114237i \(-0.0364422\pi\)
\(762\) 7992.00 35015.2i 0.379947 1.66466i
\(763\) −6779.91 2925.36i −0.321690 0.138801i
\(764\) 7922.51 + 34710.8i 0.375165 + 1.64371i
\(765\) 23190.7 1.09603
\(766\) 3248.37 0.153222
\(767\) 5955.99 + 26094.9i 0.280389 + 1.22846i
\(768\) 8612.17 + 4147.40i 0.404642 + 0.194865i
\(769\) −16526.1 + 20723.1i −0.774962 + 0.971772i −0.999997 0.00257876i \(-0.999179\pi\)
0.225034 + 0.974351i \(0.427751\pi\)
\(770\) 13101.1 + 15099.4i 0.613156 + 0.706680i