Properties

Label 177.4.e.a.4.3
Level $177$
Weight $4$
Character 177.4
Analytic conductor $10.443$
Analytic rank $0$
Dimension $420$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(10.4433380710\)
Analytic rank: \(0\)
Dimension: \(420\)
Relative dimension: \(15\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 4.3
Character \(\chi\) \(=\) 177.4
Dual form 177.4.e.a.133.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-4.04316 - 0.439720i) q^{2} +(-1.94216 + 2.28649i) q^{3} +(8.34080 + 1.83595i) q^{4} +(2.28067 + 1.73372i) q^{5} +(8.85787 - 8.39062i) q^{6} +(2.30882 - 5.79471i) q^{7} +(-2.08305 - 0.701862i) q^{8} +(-1.45604 - 8.88144i) q^{9} +O(q^{10})\) \(q+(-4.04316 - 0.439720i) q^{2} +(-1.94216 + 2.28649i) q^{3} +(8.34080 + 1.83595i) q^{4} +(2.28067 + 1.73372i) q^{5} +(8.85787 - 8.39062i) q^{6} +(2.30882 - 5.79471i) q^{7} +(-2.08305 - 0.701862i) q^{8} +(-1.45604 - 8.88144i) q^{9} +(-8.45878 - 8.01258i) q^{10} +(-41.5638 + 19.2295i) q^{11} +(-20.3970 + 15.5054i) q^{12} +(6.71107 - 40.9357i) q^{13} +(-11.8830 + 22.4137i) q^{14} +(-8.39357 + 1.84756i) q^{15} +(-53.8955 - 24.9347i) q^{16} +(-20.7342 - 52.0389i) q^{17} +(1.98165 + 36.5493i) q^{18} +(46.0877 + 67.9743i) q^{19} +(15.8396 + 18.6479i) q^{20} +(8.76543 + 16.5333i) q^{21} +(176.505 - 59.4713i) q^{22} +(-9.16527 + 169.043i) q^{23} +(5.65042 - 3.39974i) q^{24} +(-31.2454 - 112.536i) q^{25} +(-45.1342 + 162.559i) q^{26} +(23.1351 + 13.9200i) q^{27} +(29.8963 - 44.0937i) q^{28} +(194.923 - 21.1992i) q^{29} +(34.7489 - 3.77917i) q^{30} +(177.887 - 262.363i) q^{31} +(222.012 + 133.580i) q^{32} +(36.7556 - 132.382i) q^{33} +(60.9491 + 219.519i) q^{34} +(15.3121 - 9.21299i) q^{35} +(4.16135 - 76.7516i) q^{36} +(237.937 - 80.1704i) q^{37} +(-156.450 - 295.096i) q^{38} +(80.5650 + 94.8485i) q^{39} +(-3.53393 - 5.21216i) q^{40} +(10.3693 + 191.251i) q^{41} +(-28.1700 - 70.7013i) q^{42} +(432.349 + 200.026i) q^{43} +(-381.980 + 84.0801i) q^{44} +(12.0772 - 22.7800i) q^{45} +(111.388 - 679.439i) q^{46} +(-135.112 + 102.710i) q^{47} +(161.687 - 74.8042i) q^{48} +(220.768 + 209.123i) q^{49} +(76.8458 + 468.738i) q^{50} +(159.255 + 53.6594i) q^{51} +(131.132 - 329.116i) q^{52} +(50.7048 - 48.0301i) q^{53} +(-87.4182 - 66.4536i) q^{54} +(-128.132 - 28.2040i) q^{55} +(-8.87649 + 10.4502i) q^{56} +(-244.932 - 26.6380i) q^{57} -797.427 q^{58} +(240.142 - 384.332i) q^{59} -73.4012 q^{60} +(-442.794 - 48.1568i) q^{61} +(-834.589 + 982.555i) q^{62} +(-54.8271 - 12.0684i) q^{63} +(-460.688 - 350.206i) q^{64} +(86.2770 - 81.7259i) q^{65} +(-206.820 + 519.078i) q^{66} +(513.930 + 173.163i) q^{67} +(-77.3991 - 472.113i) q^{68} +(-368.715 - 349.265i) q^{69} +(-65.9604 + 30.5165i) q^{70} +(219.953 - 167.204i) q^{71} +(-3.20054 + 19.5224i) q^{72} +(-367.606 + 693.379i) q^{73} +(-997.271 + 219.516i) q^{74} +(317.995 + 147.120i) q^{75} +(259.611 + 651.575i) q^{76} +(15.4657 + 285.248i) q^{77} +(-284.030 - 418.913i) q^{78} +(-295.863 - 348.317i) q^{79} +(-79.6882 - 150.308i) q^{80} +(-76.7599 + 25.8634i) q^{81} +(42.1720 - 777.816i) q^{82} +(1.75052 - 1.05325i) q^{83} +(42.7563 + 153.994i) q^{84} +(42.9331 - 154.631i) q^{85} +(-1660.10 - 998.848i) q^{86} +(-330.100 + 486.862i) q^{87} +(100.076 - 10.8839i) q^{88} +(1078.35 - 117.277i) q^{89} +(-58.8469 + 86.7927i) q^{90} +(-221.716 - 133.402i) q^{91} +(-386.801 + 1393.13i) q^{92} +(254.405 + 916.286i) q^{93} +(591.444 - 355.860i) q^{94} +(-12.7376 + 234.931i) q^{95} +(-736.610 + 248.193i) q^{96} +(274.295 + 517.375i) q^{97} +(-800.646 - 942.593i) q^{98} +(231.304 + 341.147i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 420q - 2q^{2} + 45q^{3} - 64q^{4} + 14q^{5} + 6q^{6} + 6q^{7} + 18q^{8} - 135q^{9} + O(q^{10}) \) \( 420q - 2q^{2} + 45q^{3} - 64q^{4} + 14q^{5} + 6q^{6} + 6q^{7} + 18q^{8} - 135q^{9} + 854q^{10} + 32q^{11} + 192q^{12} - 22q^{13} - 884q^{14} - 42q^{15} - 268q^{16} - 56q^{17} - 18q^{18} - 112q^{19} - 250q^{20} + 243q^{21} + 108q^{22} + 16q^{23} - 54q^{24} - 197q^{25} - 328q^{26} + 405q^{27} + 236q^{28} - 54q^{29} - 126q^{30} + 66q^{31} + 857q^{32} - 96q^{33} + 112q^{34} + 532q^{35} - 576q^{36} + 110q^{37} + 56q^{38} + 66q^{39} - 6044q^{40} + 304q^{41} - 306q^{42} - 324q^{43} - 568q^{44} + 126q^{45} + 5842q^{46} + 4082q^{47} + 804q^{48} + 739q^{49} + 576q^{50} + 168q^{51} - 1372q^{52} - 1498q^{53} + 54q^{54} - 4422q^{55} - 12036q^{56} + 336q^{57} + 6298q^{58} - 3305q^{59} + 750q^{60} - 1718q^{61} - 4333q^{62} + 54q^{63} - 6250q^{64} - 5884q^{65} - 324q^{66} + 382q^{67} + 734q^{68} + 3780q^{69} + 8082q^{70} + 8638q^{71} + 162q^{72} + 8894q^{73} + 12428q^{74} + 243q^{75} - 15468q^{76} - 9916q^{77} + 984q^{78} - 578q^{79} + 24570q^{80} - 1215q^{81} - 1382q^{82} - 32q^{83} + 7557q^{84} + 708q^{85} + 2296q^{86} - 5928q^{87} - 17646q^{88} - 2284q^{89} + 378q^{90} + 11124q^{91} + 762q^{92} - 198q^{93} - 1232q^{94} + 24184q^{95} - 396q^{96} - 658q^{97} - 4356q^{98} + 288q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{1}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.04316 0.439720i −1.42947 0.155464i −0.639587 0.768719i \(-0.720894\pi\)
−0.789885 + 0.613255i \(0.789860\pi\)
\(3\) −1.94216 + 2.28649i −0.373769 + 0.440034i
\(4\) 8.34080 + 1.83595i 1.04260 + 0.229494i
\(5\) 2.28067 + 1.73372i 0.203990 + 0.155069i 0.702182 0.711998i \(-0.252209\pi\)
−0.498192 + 0.867067i \(0.666003\pi\)
\(6\) 8.85787 8.39062i 0.602702 0.570909i
\(7\) 2.30882 5.79471i 0.124665 0.312885i −0.853377 0.521294i \(-0.825449\pi\)
0.978042 + 0.208409i \(0.0668286\pi\)
\(8\) −2.08305 0.701862i −0.0920588 0.0310182i
\(9\) −1.45604 8.88144i −0.0539273 0.328942i
\(10\) −8.45878 8.01258i −0.267490 0.253380i
\(11\) −41.5638 + 19.2295i −1.13927 + 0.527082i −0.896518 0.443007i \(-0.853912\pi\)
−0.242750 + 0.970089i \(0.578050\pi\)
\(12\) −20.3970 + 15.5054i −0.490677 + 0.373003i
\(13\) 6.71107 40.9357i 0.143178 0.873348i −0.813364 0.581755i \(-0.802366\pi\)
0.956542 0.291593i \(-0.0941854\pi\)
\(14\) −11.8830 + 22.4137i −0.226847 + 0.427880i
\(15\) −8.39357 + 1.84756i −0.144481 + 0.0318026i
\(16\) −53.8955 24.9347i −0.842118 0.389605i
\(17\) −20.7342 52.0389i −0.295811 0.742429i −0.999491 0.0319118i \(-0.989840\pi\)
0.703680 0.710517i \(-0.251539\pi\)
\(18\) 1.98165 + 36.5493i 0.0259488 + 0.478597i
\(19\) 46.0877 + 67.9743i 0.556487 + 0.820757i 0.997033 0.0769733i \(-0.0245256\pi\)
−0.440546 + 0.897730i \(0.645215\pi\)
\(20\) 15.8396 + 18.6479i 0.177092 + 0.208489i
\(21\) 8.76543 + 16.5333i 0.0910844 + 0.171803i
\(22\) 176.505 59.4713i 1.71049 0.576333i
\(23\) −9.16527 + 169.043i −0.0830909 + 1.53252i 0.598700 + 0.800974i \(0.295684\pi\)
−0.681791 + 0.731547i \(0.738798\pi\)
\(24\) 5.65042 3.39974i 0.0480578 0.0289154i
\(25\) −31.2454 112.536i −0.249963 0.900285i
\(26\) −45.1342 + 162.559i −0.340444 + 1.22617i
\(27\) 23.1351 + 13.9200i 0.164902 + 0.0992184i
\(28\) 29.8963 44.0937i 0.201781 0.297604i
\(29\) 194.923 21.1992i 1.24815 0.135744i 0.539914 0.841720i \(-0.318457\pi\)
0.708236 + 0.705976i \(0.249491\pi\)
\(30\) 34.7489 3.77917i 0.211475 0.0229993i
\(31\) 177.887 262.363i 1.03062 1.52006i 0.187554 0.982254i \(-0.439944\pi\)
0.843070 0.537803i \(-0.180746\pi\)
\(32\) 222.012 + 133.580i 1.22645 + 0.737932i
\(33\) 36.7556 132.382i 0.193889 0.698324i
\(34\) 60.9491 + 219.519i 0.307432 + 1.10727i
\(35\) 15.3121 9.21299i 0.0739491 0.0444937i
\(36\) 4.16135 76.7516i 0.0192655 0.355331i
\(37\) 237.937 80.1704i 1.05721 0.356215i 0.263592 0.964634i \(-0.415093\pi\)
0.793615 + 0.608420i \(0.208196\pi\)
\(38\) −156.450 295.096i −0.667884 1.25976i
\(39\) 80.5650 + 94.8485i 0.330788 + 0.389434i
\(40\) −3.53393 5.21216i −0.0139691 0.0206029i
\(41\) 10.3693 + 191.251i 0.0394979 + 0.728496i 0.949476 + 0.313840i \(0.101615\pi\)
−0.909978 + 0.414656i \(0.863902\pi\)
\(42\) −28.1700 70.7013i −0.103493 0.259749i
\(43\) 432.349 + 200.026i 1.53331 + 0.709387i 0.991378 0.131032i \(-0.0418292\pi\)
0.541937 + 0.840419i \(0.317691\pi\)
\(44\) −381.980 + 84.0801i −1.30876 + 0.288081i
\(45\) 12.0772 22.7800i 0.0400081 0.0754633i
\(46\) 111.388 679.439i 0.357029 2.17778i
\(47\) −135.112 + 102.710i −0.419323 + 0.318761i −0.793471 0.608608i \(-0.791728\pi\)
0.374148 + 0.927369i \(0.377935\pi\)
\(48\) 161.687 74.8042i 0.486197 0.224939i
\(49\) 220.768 + 209.123i 0.643640 + 0.609688i
\(50\) 76.8458 + 468.738i 0.217353 + 1.32579i
\(51\) 159.255 + 53.6594i 0.437259 + 0.147330i
\(52\) 131.132 329.116i 0.349706 0.877695i
\(53\) 50.7048 48.0301i 0.131412 0.124480i −0.619171 0.785256i \(-0.712531\pi\)
0.750583 + 0.660776i \(0.229773\pi\)
\(54\) −87.4182 66.4536i −0.220298 0.167466i
\(55\) −128.132 28.2040i −0.314133 0.0691459i
\(56\) −8.87649 + 10.4502i −0.0211816 + 0.0249369i
\(57\) −244.932 26.6380i −0.569158 0.0618997i
\(58\) −797.427 −1.80530
\(59\) 240.142 384.332i 0.529894 0.848064i
\(60\) −73.4012 −0.157934
\(61\) −442.794 48.1568i −0.929410 0.101079i −0.369126 0.929380i \(-0.620343\pi\)
−0.560285 + 0.828300i \(0.689308\pi\)
\(62\) −834.589 + 982.555i −1.70956 + 2.01265i
\(63\) −54.8271 12.0684i −0.109644 0.0241345i
\(64\) −460.688 350.206i −0.899781 0.683996i
\(65\) 86.2770 81.7259i 0.164636 0.155952i
\(66\) −206.820 + 519.078i −0.385723 + 0.968092i
\(67\) 513.930 + 173.163i 0.937113 + 0.315750i 0.746097 0.665837i \(-0.231925\pi\)
0.191015 + 0.981587i \(0.438822\pi\)
\(68\) −77.3991 472.113i −0.138030 0.841943i
\(69\) −368.715 349.265i −0.643305 0.609371i
\(70\) −65.9604 + 30.5165i −0.112625 + 0.0521061i
\(71\) 219.953 167.204i 0.367657 0.279486i −0.404990 0.914321i \(-0.632725\pi\)
0.772648 + 0.634835i \(0.218932\pi\)
\(72\) −3.20054 + 19.5224i −0.00523871 + 0.0319547i
\(73\) −367.606 + 693.379i −0.589384 + 1.11170i 0.392058 + 0.919940i \(0.371763\pi\)
−0.981443 + 0.191756i \(0.938582\pi\)
\(74\) −997.271 + 219.516i −1.56663 + 0.344841i
\(75\) 317.995 + 147.120i 0.489585 + 0.226506i
\(76\) 259.611 + 651.575i 0.391835 + 0.983431i
\(77\) 15.4657 + 285.248i 0.0228893 + 0.422169i
\(78\) −284.030 418.913i −0.412309 0.608110i
\(79\) −295.863 348.317i −0.421357 0.496060i 0.509996 0.860177i \(-0.329647\pi\)
−0.931353 + 0.364117i \(0.881371\pi\)
\(80\) −79.6882 150.308i −0.111368 0.210062i
\(81\) −76.7599 + 25.8634i −0.105295 + 0.0354779i
\(82\) 42.1720 777.816i 0.0567941 1.04751i
\(83\) 1.75052 1.05325i 0.00231500 0.00139289i −0.514396 0.857553i \(-0.671984\pi\)
0.516711 + 0.856160i \(0.327156\pi\)
\(84\) 42.7563 + 153.994i 0.0555369 + 0.200026i
\(85\) 42.9331 154.631i 0.0547853 0.197319i
\(86\) −1660.10 998.848i −2.08155 1.25242i
\(87\) −330.100 + 486.862i −0.406787 + 0.599966i
\(88\) 100.076 10.8839i 0.121229 0.0131844i
\(89\) 1078.35 117.277i 1.28432 0.139678i 0.559623 0.828747i \(-0.310946\pi\)
0.724696 + 0.689069i \(0.241980\pi\)
\(90\) −58.8469 + 86.7927i −0.0689223 + 0.101653i
\(91\) −221.716 133.402i −0.255408 0.153674i
\(92\) −386.801 + 1393.13i −0.438335 + 1.57874i
\(93\) 254.405 + 916.286i 0.283663 + 1.02166i
\(94\) 591.444 355.860i 0.648966 0.390470i
\(95\) −12.7376 + 234.931i −0.0137563 + 0.253720i
\(96\) −736.610 + 248.193i −0.783125 + 0.263865i
\(97\) 274.295 + 517.375i 0.287118 + 0.541562i 0.984553 0.175086i \(-0.0560204\pi\)
−0.697435 + 0.716648i \(0.745676\pi\)
\(98\) −800.646 942.593i −0.825280 0.971595i
\(99\) 231.304 + 341.147i 0.234817 + 0.346329i
\(100\) −54.0017 996.003i −0.0540017 0.996003i
\(101\) −147.925 371.264i −0.145734 0.365764i 0.837931 0.545777i \(-0.183765\pi\)
−0.983664 + 0.180013i \(0.942386\pi\)
\(102\) −620.299 286.981i −0.602145 0.278582i
\(103\) 1015.31 223.487i 0.971278 0.213794i 0.299131 0.954212i \(-0.403303\pi\)
0.672147 + 0.740418i \(0.265372\pi\)
\(104\) −42.7107 + 80.5610i −0.0402705 + 0.0759582i
\(105\) −8.67317 + 52.9040i −0.00806110 + 0.0491705i
\(106\) −226.127 + 171.897i −0.207202 + 0.157511i
\(107\) 1122.02 519.102i 1.01374 0.469005i 0.158565 0.987349i \(-0.449313\pi\)
0.855172 + 0.518344i \(0.173451\pi\)
\(108\) 167.409 + 158.579i 0.149157 + 0.141289i
\(109\) −208.261 1270.34i −0.183007 1.11630i −0.905320 0.424730i \(-0.860369\pi\)
0.722313 0.691566i \(-0.243079\pi\)
\(110\) 505.656 + 170.375i 0.438295 + 0.147679i
\(111\) −278.804 + 699.744i −0.238404 + 0.598349i
\(112\) −268.925 + 254.739i −0.226884 + 0.214916i
\(113\) 663.976 + 504.741i 0.552758 + 0.420195i 0.843913 0.536480i \(-0.180246\pi\)
−0.291155 + 0.956676i \(0.594040\pi\)
\(114\) 978.585 + 215.403i 0.803973 + 0.176968i
\(115\) −313.978 + 369.643i −0.254596 + 0.299734i
\(116\) 1664.74 + 181.051i 1.33247 + 0.144915i
\(117\) −373.340 −0.295002
\(118\) −1139.93 + 1448.32i −0.889313 + 1.12990i
\(119\) −349.422 −0.269172
\(120\) 18.7810 + 2.04255i 0.0142872 + 0.00155382i
\(121\) 496.105 584.060i 0.372731 0.438813i
\(122\) 1769.11 + 389.411i 1.31285 + 0.288980i
\(123\) −457.431 347.730i −0.335327 0.254909i
\(124\) 1965.40 1861.73i 1.42337 1.34829i
\(125\) 256.393 643.499i 0.183460 0.460450i
\(126\) 216.368 + 72.9029i 0.152981 + 0.0515453i
\(127\) 123.747 + 754.826i 0.0864630 + 0.527401i 0.994172 + 0.107802i \(0.0343812\pi\)
−0.907709 + 0.419599i \(0.862171\pi\)
\(128\) 203.799 + 193.049i 0.140730 + 0.133307i
\(129\) −1297.05 + 600.077i −0.885260 + 0.409565i
\(130\) −384.768 + 292.493i −0.259588 + 0.197333i
\(131\) 142.372 868.429i 0.0949547 0.579198i −0.895899 0.444258i \(-0.853467\pi\)
0.990854 0.134940i \(-0.0430843\pi\)
\(132\) 549.617 1036.69i 0.362409 0.683577i
\(133\) 500.300 110.124i 0.326177 0.0717969i
\(134\) −2001.76 926.111i −1.29049 0.597044i
\(135\) 28.6304 + 71.8568i 0.0182527 + 0.0458108i
\(136\) 6.66628 + 122.952i 0.00420315 + 0.0775226i
\(137\) −928.269 1369.09i −0.578886 0.853793i 0.419661 0.907681i \(-0.362149\pi\)
−0.998547 + 0.0538883i \(0.982839\pi\)
\(138\) 1337.19 + 1574.27i 0.824851 + 0.971090i
\(139\) 199.779 + 376.823i 0.121907 + 0.229940i 0.936953 0.349456i \(-0.113633\pi\)
−0.815046 + 0.579396i \(0.803289\pi\)
\(140\) 144.630 48.7315i 0.0873104 0.0294183i
\(141\) 27.5652 508.411i 0.0164639 0.303659i
\(142\) −962.829 + 579.315i −0.569006 + 0.342359i
\(143\) 508.234 + 1830.49i 0.297208 + 1.07044i
\(144\) −142.982 + 514.976i −0.0827444 + 0.298018i
\(145\) 481.310 + 289.595i 0.275660 + 0.165859i
\(146\) 1791.18 2641.80i 1.01534 1.49751i
\(147\) −906.924 + 98.6339i −0.508856 + 0.0553414i
\(148\) 2131.78 231.845i 1.18399 0.128767i
\(149\) 971.328 1432.60i 0.534056 0.787673i −0.460957 0.887422i \(-0.652494\pi\)
0.995013 + 0.0997495i \(0.0318041\pi\)
\(150\) −1221.01 734.658i −0.664634 0.399897i
\(151\) 829.055 2985.99i 0.446805 1.60925i −0.306702 0.951806i \(-0.599225\pi\)
0.753507 0.657440i \(-0.228361\pi\)
\(152\) −48.2945 173.941i −0.0257711 0.0928191i
\(153\) −431.991 + 259.920i −0.228264 + 0.137342i
\(154\) 62.8989 1160.10i 0.0329126 0.607037i
\(155\) 860.566 289.959i 0.445951 0.150258i
\(156\) 497.840 + 939.026i 0.255507 + 0.481937i
\(157\) 1570.87 + 1849.37i 0.798527 + 0.940099i 0.999217 0.0395559i \(-0.0125943\pi\)
−0.200690 + 0.979655i \(0.564318\pi\)
\(158\) 1043.06 + 1538.40i 0.525199 + 0.774610i
\(159\) 11.3435 + 209.218i 0.00565783 + 0.104353i
\(160\) 274.746 + 689.559i 0.135753 + 0.340715i
\(161\) 958.397 + 443.402i 0.469144 + 0.217049i
\(162\) 321.725 70.8170i 0.156032 0.0343451i
\(163\) −1453.13 + 2740.89i −0.698267 + 1.31707i 0.239869 + 0.970805i \(0.422896\pi\)
−0.938136 + 0.346267i \(0.887449\pi\)
\(164\) −264.638 + 1614.22i −0.126005 + 0.768595i
\(165\) 313.341 238.196i 0.147840 0.112385i
\(166\) −7.54077 + 3.48873i −0.00352577 + 0.00163119i
\(167\) 1461.59 + 1384.49i 0.677252 + 0.641527i 0.946936 0.321421i \(-0.104161\pi\)
−0.269684 + 0.962949i \(0.586919\pi\)
\(168\) −6.65471 40.5919i −0.00305608 0.0186413i
\(169\) 451.299 + 152.060i 0.205416 + 0.0692127i
\(170\) −241.580 + 606.320i −0.108990 + 0.273545i
\(171\) 536.604 508.298i 0.239972 0.227313i
\(172\) 3238.90 + 2462.15i 1.43584 + 1.09149i
\(173\) −2895.09 637.258i −1.27231 0.280057i −0.473047 0.881037i \(-0.656846\pi\)
−0.799264 + 0.600980i \(0.794777\pi\)
\(174\) 1548.73 1823.31i 0.674764 0.794394i
\(175\) −724.252 78.7671i −0.312847 0.0340242i
\(176\) 2719.58 1.16475
\(177\) 412.377 + 1295.51i 0.175119 + 0.550151i
\(178\) −4411.49 −1.85761
\(179\) −1977.60 215.077i −0.825768 0.0898077i −0.314531 0.949247i \(-0.601847\pi\)
−0.511237 + 0.859440i \(0.670813\pi\)
\(180\) 142.557 167.831i 0.0590308 0.0694965i
\(181\) −3710.52 816.747i −1.52376 0.335405i −0.627388 0.778707i \(-0.715876\pi\)
−0.896372 + 0.443302i \(0.853807\pi\)
\(182\) 837.773 + 636.859i 0.341208 + 0.259380i
\(183\) 970.087 918.915i 0.391863 0.371192i
\(184\) 137.737 345.693i 0.0551853 0.138505i
\(185\) 681.651 + 229.675i 0.270897 + 0.0912759i
\(186\) −625.692 3816.55i −0.246656 1.50453i
\(187\) 1862.47 + 1764.23i 0.728328 + 0.689909i
\(188\) −1315.52 + 608.622i −0.510340 + 0.236108i
\(189\) 134.077 101.923i 0.0516015 0.0392264i
\(190\) 154.804 944.261i 0.0591086 0.360547i
\(191\) −245.856 + 463.733i −0.0931387 + 0.175678i −0.925704 0.378249i \(-0.876526\pi\)
0.832565 + 0.553927i \(0.186871\pi\)
\(192\) 1695.47 373.201i 0.637292 0.140279i
\(193\) −4499.90 2081.88i −1.67829 0.776460i −0.999096 0.0425005i \(-0.986468\pi\)
−0.679194 0.733959i \(-0.737670\pi\)
\(194\) −881.517 2212.44i −0.326233 0.818784i
\(195\) 19.3015 + 355.996i 0.00708827 + 0.130735i
\(196\) 1457.45 + 2149.57i 0.531140 + 0.783372i
\(197\) −1108.50 1305.03i −0.400901 0.471977i 0.524257 0.851560i \(-0.324343\pi\)
−0.925158 + 0.379583i \(0.876067\pi\)
\(198\) −785.188 1481.02i −0.281823 0.531574i
\(199\) 156.720 52.8050i 0.0558270 0.0188103i −0.291250 0.956647i \(-0.594071\pi\)
0.347076 + 0.937837i \(0.387174\pi\)
\(200\) −13.8988 + 256.348i −0.00491395 + 0.0906325i
\(201\) −1394.07 + 838.783i −0.489204 + 0.294344i
\(202\) 434.832 + 1566.12i 0.151459 + 0.545506i
\(203\) 327.201 1178.47i 0.113128 0.407450i
\(204\) 1229.80 + 739.947i 0.422075 + 0.253954i
\(205\) −307.927 + 454.158i −0.104910 + 0.154731i
\(206\) −4203.34 + 457.140i −1.42165 + 0.154614i
\(207\) 1514.69 164.733i 0.508592 0.0553127i
\(208\) −1382.42 + 2038.91i −0.460834 + 0.679679i
\(209\) −3222.69 1939.03i −1.06659 0.641748i
\(210\) 58.3300 210.086i 0.0191674 0.0690347i
\(211\) 930.642 + 3351.87i 0.303640 + 1.09361i 0.945187 + 0.326529i \(0.105879\pi\)
−0.641547 + 0.767084i \(0.721707\pi\)
\(212\) 511.099 307.518i 0.165578 0.0996248i
\(213\) −44.8743 + 827.658i −0.0144354 + 0.266245i
\(214\) −4764.77 + 1605.44i −1.52202 + 0.512829i
\(215\) 639.257 + 1205.77i 0.202777 + 0.382477i
\(216\) −38.4218 45.2337i −0.0121031 0.0142489i
\(217\) −1109.61 1636.55i −0.347121 0.511965i
\(218\) 283.440 + 5227.75i 0.0880597 + 1.62417i
\(219\) −871.452 2187.18i −0.268891 0.674867i
\(220\) −1016.94 470.488i −0.311647 0.144183i
\(221\) −2269.40 + 499.533i −0.690753 + 0.152046i
\(222\) 1434.94 2706.58i 0.433814 0.818260i
\(223\) −197.821 + 1206.65i −0.0594039 + 0.362347i 0.940351 + 0.340206i \(0.110497\pi\)
−0.999755 + 0.0221416i \(0.992952\pi\)
\(224\) 1286.64 978.081i 0.383783 0.291744i
\(225\) −953.984 + 441.360i −0.282662 + 0.130773i
\(226\) −2462.61 2332.71i −0.724826 0.686592i
\(227\) 109.224 + 666.235i 0.0319358 + 0.194800i 0.997976 0.0635922i \(-0.0202557\pi\)
−0.966040 + 0.258392i \(0.916807\pi\)
\(228\) −1994.02 671.865i −0.579199 0.195155i
\(229\) 1519.63 3813.99i 0.438516 1.10059i −0.529189 0.848504i \(-0.677504\pi\)
0.967704 0.252087i \(-0.0811170\pi\)
\(230\) 1432.00 1356.46i 0.410536 0.388880i
\(231\) −682.252 518.634i −0.194324 0.147721i
\(232\) −420.914 92.6503i −0.119114 0.0262189i
\(233\) 1061.50 1249.69i 0.298459 0.351373i −0.592407 0.805639i \(-0.701822\pi\)
0.890866 + 0.454266i \(0.150098\pi\)
\(234\) 1509.47 + 164.165i 0.421698 + 0.0458624i
\(235\) −486.218 −0.134967
\(236\) 2708.59 2764.75i 0.747093 0.762584i
\(237\) 1371.04 0.375774
\(238\) 1412.77 + 153.648i 0.384774 + 0.0418467i
\(239\) −383.572 + 451.576i −0.103813 + 0.122218i −0.811615 0.584193i \(-0.801411\pi\)
0.707802 + 0.706411i \(0.249687\pi\)
\(240\) 498.444 + 109.716i 0.134060 + 0.0295089i
\(241\) 2018.02 + 1534.06i 0.539386 + 0.410031i 0.839083 0.544004i \(-0.183092\pi\)
−0.299696 + 0.954035i \(0.596885\pi\)
\(242\) −2262.66 + 2143.30i −0.601029 + 0.569325i
\(243\) 89.9436 225.741i 0.0237444 0.0595939i
\(244\) −3604.85 1214.61i −0.945807 0.318679i
\(245\) 140.940 + 859.693i 0.0367522 + 0.224179i
\(246\) 1696.56 + 1607.07i 0.439711 + 0.416516i
\(247\) 3091.88 1430.45i 0.796483 0.368492i
\(248\) −554.690 + 421.664i −0.142028 + 0.107967i
\(249\) −0.991540 + 6.04813i −0.000252355 + 0.00153930i
\(250\) −1319.60 + 2489.03i −0.333835 + 0.629679i
\(251\) −5836.21 + 1284.65i −1.46764 + 0.323052i −0.875672 0.482907i \(-0.839581\pi\)
−0.591970 + 0.805960i \(0.701650\pi\)
\(252\) −435.145 201.320i −0.108776 0.0503252i
\(253\) −2869.67 7202.33i −0.713101 1.78975i
\(254\) −168.418 3106.29i −0.0416044 0.767347i
\(255\) 270.179 + 398.484i 0.0663501 + 0.0978591i
\(256\) 2257.96 + 2658.28i 0.551261 + 0.648994i
\(257\) 2303.68 + 4345.20i 0.559143 + 1.05465i 0.988457 + 0.151500i \(0.0484103\pi\)
−0.429315 + 0.903155i \(0.641245\pi\)
\(258\) 5508.03 1855.87i 1.32913 0.447835i
\(259\) 84.7910 1563.88i 0.0203423 0.375192i
\(260\) 869.665 523.260i 0.207440 0.124812i
\(261\) −472.095 1700.33i −0.111961 0.403249i
\(262\) −957.497 + 3448.59i −0.225780 + 0.813186i
\(263\) 3155.04 + 1898.33i 0.739727 + 0.445079i 0.834914 0.550380i \(-0.185517\pi\)
−0.0951870 + 0.995459i \(0.530345\pi\)
\(264\) −169.478 + 249.961i −0.0395099 + 0.0582728i
\(265\) 198.912 21.6330i 0.0461097 0.00501473i
\(266\) −2071.22 + 225.258i −0.477422 + 0.0519228i
\(267\) −1826.17 + 2693.39i −0.418575 + 0.617352i
\(268\) 3968.67 + 2387.87i 0.904572 + 0.544263i
\(269\) 1500.20 5403.25i 0.340034 1.22469i −0.573933 0.818902i \(-0.694583\pi\)
0.913967 0.405788i \(-0.133003\pi\)
\(270\) −84.1603 303.118i −0.0189697 0.0683228i
\(271\) −114.416 + 68.8416i −0.0256467 + 0.0154311i −0.528319 0.849046i \(-0.677178\pi\)
0.502673 + 0.864477i \(0.332350\pi\)
\(272\) −180.095 + 3321.67i −0.0401467 + 0.740462i
\(273\) 735.630 247.863i 0.163086 0.0549499i
\(274\) 3151.12 + 5943.64i 0.694767 + 1.31047i
\(275\) 3462.67 + 4076.58i 0.759299 + 0.893915i
\(276\) −2434.15 3590.10i −0.530864 0.782965i
\(277\) 6.67177 + 123.054i 0.00144718 + 0.0266916i 0.999168 0.0407883i \(-0.0129869\pi\)
−0.997721 + 0.0674799i \(0.978504\pi\)
\(278\) −642.041 1611.40i −0.138515 0.347645i
\(279\) −2589.17 1197.88i −0.555590 0.257043i
\(280\) −38.3622 + 8.44415i −0.00818778 + 0.00180227i
\(281\) −1161.97 + 2191.70i −0.246680 + 0.465288i −0.975672 0.219234i \(-0.929644\pi\)
0.728992 + 0.684522i \(0.239989\pi\)
\(282\) −335.009 + 2043.47i −0.0707429 + 0.431513i
\(283\) 7261.84 5520.30i 1.52534 1.15953i 0.589159 0.808017i \(-0.299459\pi\)
0.936182 0.351516i \(-0.114334\pi\)
\(284\) 2141.57 990.794i 0.447460 0.207017i
\(285\) −512.427 485.397i −0.106504 0.100886i
\(286\) −1249.97 7624.46i −0.258434 1.57638i
\(287\) 1132.18 + 381.477i 0.232860 + 0.0784595i
\(288\) 863.125 2166.28i 0.176598 0.443227i
\(289\) 1288.67 1220.70i 0.262299 0.248463i
\(290\) −1818.67 1382.52i −0.368263 0.279946i
\(291\) −1715.70 377.653i −0.345621 0.0760770i
\(292\) −4339.14 + 5108.43i −0.869620 + 1.02380i
\(293\) −3238.36 352.192i −0.645689 0.0702229i −0.220585 0.975368i \(-0.570797\pi\)
−0.425103 + 0.905145i \(0.639762\pi\)
\(294\) 3710.21 0.735999
\(295\) 1214.01 460.197i 0.239601 0.0908261i
\(296\) −551.905 −0.108374
\(297\) −1229.26 133.690i −0.240164 0.0261194i
\(298\) −4557.17 + 5365.12i −0.885873 + 1.04293i
\(299\) 6858.40 + 1509.65i 1.32653 + 0.291991i
\(300\) 2382.23 + 1810.92i 0.458460 + 0.348512i
\(301\) 2157.31 2043.51i 0.413107 0.391316i
\(302\) −4665.00 + 11708.3i −0.888876 + 2.23091i
\(303\) 1136.18 + 382.825i 0.215419 + 0.0725832i
\(304\) −789.001 4812.70i −0.148856 0.907984i
\(305\) −926.380 877.513i −0.173916 0.164742i
\(306\) 1860.90 860.943i 0.347649 0.160839i
\(307\) 889.228 675.973i 0.165312 0.125667i −0.519247 0.854624i \(-0.673788\pi\)
0.684560 + 0.728957i \(0.259995\pi\)
\(308\) −394.704 + 2407.59i −0.0730206 + 0.445406i
\(309\) −1460.90 + 2755.54i −0.268956 + 0.507306i
\(310\) −3606.91 + 793.940i −0.660834 + 0.145461i
\(311\) −9253.56 4281.15i −1.68721 0.780585i −0.998454 0.0555887i \(-0.982296\pi\)
−0.688753 0.724996i \(-0.741841\pi\)
\(312\) −101.251 254.120i −0.0183724 0.0461112i
\(313\) 187.474 + 3457.76i 0.0338552 + 0.624422i 0.965397 + 0.260786i \(0.0839818\pi\)
−0.931541 + 0.363635i \(0.881535\pi\)
\(314\) −5538.06 8168.02i −0.995320 1.46799i
\(315\) −104.120 122.579i −0.0186237 0.0219256i
\(316\) −1828.25 3448.44i −0.325465 0.613892i
\(317\) 2950.84 994.255i 0.522826 0.176161i −0.0454996 0.998964i \(-0.514488\pi\)
0.568326 + 0.822804i \(0.307591\pi\)
\(318\) 46.1338 850.889i 0.00813540 0.150049i
\(319\) −7694.10 + 4629.39i −1.35043 + 0.812526i
\(320\) −443.519 1597.41i −0.0774796 0.279056i
\(321\) −992.223 + 3573.66i −0.172525 + 0.621378i
\(322\) −3679.98 2214.17i −0.636885 0.383201i
\(323\) 2581.72 3807.75i 0.444739 0.655940i
\(324\) −687.723 + 74.7944i −0.117922 + 0.0128248i
\(325\) −4816.42 + 523.817i −0.822052 + 0.0894035i
\(326\) 7080.44 10442.9i 1.20291 1.77416i
\(327\) 3309.09 + 1991.01i 0.559611 + 0.336707i
\(328\) 112.632 405.663i 0.0189605 0.0682896i
\(329\) 283.223 + 1020.08i 0.0474607 + 0.170938i
\(330\) −1371.63 + 825.280i −0.228805 + 0.137667i
\(331\) −445.974 + 8225.51i −0.0740573 + 1.36591i 0.691424 + 0.722449i \(0.256984\pi\)
−0.765482 + 0.643458i \(0.777499\pi\)
\(332\) 16.5345 5.57111i 0.00273327 0.000920947i
\(333\) −1058.47 1996.50i −0.174186 0.328550i
\(334\) −5300.65 6240.40i −0.868379 1.02233i
\(335\) 871.890 + 1285.94i 0.142198 + 0.209727i
\(336\) −60.1628 1109.64i −0.00976830 0.180166i
\(337\) 3862.40 + 9693.90i 0.624328 + 1.56694i 0.811332 + 0.584585i \(0.198743\pi\)
−0.187005 + 0.982359i \(0.559878\pi\)
\(338\) −1757.81 813.249i −0.282876 0.130873i
\(339\) −2443.63 + 537.884i −0.391504 + 0.0861765i
\(340\) 641.992 1210.93i 0.102403 0.193152i
\(341\) −2348.54 + 14325.5i −0.372964 + 2.27498i
\(342\) −2393.08 + 1819.18i −0.378372 + 0.287631i
\(343\) 3663.32 1694.83i 0.576678 0.266800i
\(344\) −760.214 720.113i −0.119151 0.112866i
\(345\) −235.389 1435.81i −0.0367331 0.224062i
\(346\) 11425.1 + 3849.57i 1.77519 + 0.598133i
\(347\) 3732.99 9369.10i 0.577514 1.44945i −0.292423 0.956289i \(-0.594461\pi\)
0.869937 0.493163i \(-0.164159\pi\)
\(348\) −3647.16 + 3454.77i −0.561805 + 0.532170i
\(349\) 3319.15 + 2523.15i 0.509083 + 0.386995i 0.827948 0.560805i \(-0.189508\pi\)
−0.318864 + 0.947800i \(0.603301\pi\)
\(350\) 2893.63 + 636.936i 0.441917 + 0.0972733i
\(351\) 725.085 853.636i 0.110263 0.129811i
\(352\) −11796.3 1282.93i −1.78621 0.194262i
\(353\) −10385.0 −1.56583 −0.782916 0.622127i \(-0.786269\pi\)
−0.782916 + 0.622127i \(0.786269\pi\)
\(354\) −1097.64 5419.30i −0.164799 0.813651i
\(355\) 791.528 0.118338
\(356\) 9209.58 + 1001.60i 1.37109 + 0.149115i
\(357\) 678.633 798.949i 0.100608 0.118445i
\(358\) 7901.16 + 1739.18i 1.16645 + 0.256755i
\(359\) −6826.10 5189.06i −1.00353 0.762865i −0.0319302 0.999490i \(-0.510165\pi\)
−0.971601 + 0.236626i \(0.923959\pi\)
\(360\) −41.1459 + 38.9755i −0.00602383 + 0.00570608i
\(361\) 42.3500 106.290i 0.00617437 0.0154965i
\(362\) 14643.1 + 4933.82i 2.12603 + 0.716343i
\(363\) 371.931 + 2268.68i 0.0537777 + 0.328029i
\(364\) −1604.37 1519.74i −0.231022 0.218835i
\(365\) −2040.52 + 944.044i −0.292618 + 0.135380i
\(366\) −4326.28 + 3288.75i −0.617864 + 0.469688i
\(367\) −350.758 + 2139.53i −0.0498894 + 0.304312i −0.999970 0.00769143i \(-0.997552\pi\)
0.950081 + 0.312003i \(0.101000\pi\)
\(368\) 4709.02 8882.15i 0.667050 1.25819i
\(369\) 1683.48 370.563i 0.237503 0.0522784i
\(370\) −2655.03 1228.35i −0.373050 0.172591i
\(371\) −161.252 404.713i −0.0225655 0.0566351i
\(372\) 439.692 + 8109.64i 0.0612821 + 1.13028i
\(373\) −4889.62 7211.65i −0.678753 1.00109i −0.998562 0.0536037i \(-0.982929\pi\)
0.319809 0.947482i \(-0.396381\pi\)
\(374\) −6754.50 7952.01i −0.933869 1.09944i
\(375\) 973.394 + 1836.02i 0.134042 + 0.252831i
\(376\) 353.534 119.120i 0.0484897 0.0163381i
\(377\) 440.340 8121.60i 0.0601556 1.10951i
\(378\) −586.912 + 353.133i −0.0798612 + 0.0480509i
\(379\) −803.241 2893.01i −0.108865 0.392095i 0.888963 0.457980i \(-0.151427\pi\)
−0.997827 + 0.0658848i \(0.979013\pi\)
\(380\) −537.563 + 1936.13i −0.0725694 + 0.261371i
\(381\) −1966.24 1183.04i −0.264392 0.159079i
\(382\) 1197.95 1766.84i 0.160451 0.236647i
\(383\) 13749.2 1495.32i 1.83434 0.199497i 0.875458 0.483294i \(-0.160560\pi\)
0.958884 + 0.283797i \(0.0915942\pi\)
\(384\) −837.214 + 91.0525i −0.111260 + 0.0121003i
\(385\) −459.269 + 677.370i −0.0607961 + 0.0896675i
\(386\) 17278.4 + 10396.0i 2.27836 + 1.37084i
\(387\) 1147.00 4131.12i 0.150660 0.542627i
\(388\) 1337.97 + 4818.92i 0.175064 + 0.630524i
\(389\) 3280.25 1973.66i 0.427546 0.257246i −0.285478 0.958385i \(-0.592152\pi\)
0.713024 + 0.701139i \(0.247325\pi\)
\(390\) 78.4993 1447.84i 0.0101922 0.187985i
\(391\) 8986.87 3028.03i 1.16237 0.391647i
\(392\) −313.097 590.563i −0.0403413 0.0760917i
\(393\) 1709.14 + 2012.16i 0.219376 + 0.258270i
\(394\) 3908.00 + 5763.87i 0.499701 + 0.737004i
\(395\) −70.8821 1307.34i −0.00902903 0.166531i
\(396\) 1302.93 + 3270.11i 0.165340 + 0.414972i
\(397\) −685.128 316.974i −0.0866135 0.0400717i 0.376104 0.926577i \(-0.377264\pi\)
−0.462718 + 0.886506i \(0.653126\pi\)
\(398\) −656.862 + 144.586i −0.0827274 + 0.0182097i
\(399\) −719.864 + 1357.81i −0.0903215 + 0.170364i
\(400\) −1122.06 + 6844.26i −0.140257 + 0.855533i
\(401\) 1137.69 864.847i 0.141679 0.107702i −0.531934 0.846786i \(-0.678535\pi\)
0.673613 + 0.739084i \(0.264741\pi\)
\(402\) 6005.27 2778.33i 0.745064 0.344703i
\(403\) −9546.21 9042.65i −1.17998 1.11773i
\(404\) −552.192 3368.22i −0.0680015 0.414791i
\(405\) −219.904 74.0944i −0.0269806 0.00909082i
\(406\) −1841.12 + 4620.86i −0.225057 + 0.564851i
\(407\) −8347.95 + 7907.59i −1.01669 + 0.963059i
\(408\) −294.076 223.551i −0.0356836 0.0271260i
\(409\) 10099.1 + 2222.98i 1.22095 + 0.268751i 0.778270 0.627929i \(-0.216097\pi\)
0.442678 + 0.896681i \(0.354028\pi\)
\(410\) 1444.70 1700.83i 0.174021 0.204873i
\(411\) 4933.26 + 536.524i 0.592067 + 0.0643912i
\(412\) 8878.83 1.06172
\(413\) −1672.65 2278.91i −0.199287 0.271520i
\(414\) −6196.58 −0.735617
\(415\) 5.81842 + 0.632791i 0.000688229 + 7.48494e-5i
\(416\) 6958.13 8191.74i 0.820073 0.965464i
\(417\) −1249.60 275.058i −0.146746 0.0323013i
\(418\) 12177.2 + 9256.87i 1.42490 + 1.08318i
\(419\) −2732.37 + 2588.24i −0.318580 + 0.301775i −0.830232 0.557418i \(-0.811792\pi\)
0.511652 + 0.859193i \(0.329034\pi\)
\(420\) −169.470 + 425.339i −0.0196888 + 0.0494152i
\(421\) 10852.6 + 3656.66i 1.25635 + 0.423313i 0.867245 0.497882i \(-0.165889\pi\)
0.389103 + 0.921194i \(0.372785\pi\)
\(422\) −2288.85 13961.4i −0.264027 1.61049i
\(423\) 1108.94 + 1050.44i 0.127467 + 0.120743i
\(424\) −139.331 + 64.4615i −0.0159588 + 0.00738332i
\(425\) −5208.38 + 3959.31i −0.594456 + 0.451894i
\(426\) 545.371 3326.62i 0.0620266 0.378345i
\(427\) −1301.39 + 2454.68i −0.147491 + 0.278198i
\(428\) 10311.6 2269.75i 1.16456 0.256338i
\(429\) −5172.47 2393.04i −0.582119 0.269317i
\(430\) −2054.42 5156.20i −0.230402 0.578265i
\(431\) 427.557 + 7885.83i 0.0477835 + 0.881315i 0.919933 + 0.392076i \(0.128243\pi\)
−0.872149 + 0.489240i \(0.837274\pi\)
\(432\) −899.791 1327.09i −0.100211 0.147800i
\(433\) −8986.36 10579.6i −0.997360 1.17418i −0.984699 0.174263i \(-0.944246\pi\)
−0.0126609 0.999920i \(-0.504030\pi\)
\(434\) 3766.70 + 7104.75i 0.416607 + 0.785804i
\(435\) −1596.94 + 538.070i −0.176017 + 0.0593069i
\(436\) 595.210 10978.0i 0.0653793 1.20585i
\(437\) −11913.0 + 7167.82i −1.30407 + 0.784630i
\(438\) 2561.67 + 9226.30i 0.279455 + 1.00651i
\(439\) 2612.09 9407.91i 0.283983 1.02281i −0.674643 0.738144i \(-0.735702\pi\)
0.958626 0.284669i \(-0.0918838\pi\)
\(440\) 247.110 + 148.681i 0.0267739 + 0.0161093i
\(441\) 1535.87 2265.23i 0.165842 0.244599i
\(442\) 9395.19 1021.79i 1.01105 0.109958i
\(443\) 13370.4 1454.11i 1.43396 0.155953i 0.642085 0.766634i \(-0.278070\pi\)
0.791877 + 0.610681i \(0.209104\pi\)
\(444\) −3610.14 + 5324.56i −0.385878 + 0.569127i
\(445\) 2662.68 + 1602.08i 0.283648 + 0.170665i
\(446\) 1330.41 4791.70i 0.141248 0.508730i
\(447\) 1389.15 + 5003.27i 0.146990 + 0.529410i
\(448\) −3092.99 + 1860.99i −0.326183 + 0.196258i
\(449\) 269.613 4972.72i 0.0283381 0.522666i −0.949560 0.313585i \(-0.898470\pi\)
0.977898 0.209081i \(-0.0670473\pi\)
\(450\) 4051.18 1365.00i 0.424388 0.142993i
\(451\) −4108.64 7749.71i −0.428976 0.809134i
\(452\) 4611.41 + 5428.98i 0.479873 + 0.564950i
\(453\) 5217.26 + 7694.88i 0.541122 + 0.798095i
\(454\) −148.652 2741.72i −0.0153669 0.283426i
\(455\) −274.380 688.641i −0.0282706 0.0709539i
\(456\) 491.510 + 227.397i 0.0504760 + 0.0233527i
\(457\) 1845.15 406.148i 0.188867 0.0415728i −0.119529 0.992831i \(-0.538139\pi\)
0.308397 + 0.951258i \(0.400208\pi\)
\(458\) −7821.20 + 14752.3i −0.797949 + 1.50509i
\(459\) 244.691 1492.55i 0.0248827 0.151778i
\(460\) −3297.47 + 2506.67i −0.334229 + 0.254074i
\(461\) −4233.11 + 1958.45i −0.427669 + 0.197861i −0.621903 0.783094i \(-0.713640\pi\)
0.194233 + 0.980955i \(0.437778\pi\)
\(462\) 2530.40 + 2396.92i 0.254815 + 0.241374i
\(463\) 1985.93 + 12113.6i 0.199339 + 1.21591i 0.876982 + 0.480522i \(0.159553\pi\)
−0.677644 + 0.735390i \(0.736999\pi\)
\(464\) −11034.1 3717.82i −1.10398 0.371973i
\(465\) −1008.37 + 2530.82i −0.100564 + 0.252396i
\(466\) −4841.31 + 4585.93i −0.481265 + 0.455878i
\(467\) 3773.61 + 2868.63i 0.373923 + 0.284249i 0.775210 0.631703i \(-0.217644\pi\)
−0.401287 + 0.915952i \(0.631437\pi\)
\(468\) −3113.95 685.433i −0.307570 0.0677012i
\(469\) 2190.01 2578.27i 0.215618 0.253846i
\(470\) 1965.85 + 213.800i 0.192932 + 0.0209826i
\(471\) −7279.42 −0.712140
\(472\) −769.975 + 632.037i −0.0750868 + 0.0616353i
\(473\) −21816.4 −2.12076
\(474\) −5543.32 602.872i −0.537158 0.0584195i
\(475\) 6209.50 7310.39i 0.599814 0.706155i
\(476\) −2914.46 641.522i −0.280639 0.0617733i
\(477\) −500.405 380.398i −0.0480334 0.0365141i
\(478\) 1749.41 1657.13i 0.167398 0.158568i
\(479\) 985.587 2473.64i 0.0940138 0.235957i −0.874448 0.485120i \(-0.838776\pi\)
0.968462 + 0.249163i \(0.0801554\pi\)
\(480\) −2110.27 711.032i −0.200667 0.0676125i
\(481\) −1685.02 10278.2i −0.159730 0.974312i
\(482\) −7484.62 7089.80i −0.707292 0.669983i
\(483\) −2875.19 + 1330.20i −0.270861 + 0.125313i
\(484\) 5210.22 3960.71i 0.489315 0.371967i
\(485\) −271.408 + 1655.52i −0.0254103 + 0.154996i
\(486\) −462.919 + 873.158i −0.0432066 + 0.0814964i
\(487\) 607.158 133.646i 0.0564948 0.0124354i −0.186633 0.982430i \(-0.559758\pi\)
0.243128 + 0.969994i \(0.421827\pi\)
\(488\) 888.565 + 411.094i 0.0824251 + 0.0381339i
\(489\) −3444.80 8645.79i −0.318567 0.799542i
\(490\) −191.817 3537.85i −0.0176845 0.326171i
\(491\) 8714.39 + 12852.8i 0.800967 + 1.18134i 0.980293 + 0.197548i \(0.0632979\pi\)
−0.179326 + 0.983790i \(0.557392\pi\)
\(492\) −3176.93 3740.17i −0.291112 0.342723i
\(493\) −5144.76 9704.05i −0.469997 0.886508i
\(494\) −13129.9 + 4423.99i −1.19584 + 0.402925i
\(495\) −63.9269 + 1179.06i −0.00580465 + 0.107060i
\(496\) −16129.2 + 9704.64i −1.46013 + 0.878531i
\(497\) −461.067 1660.61i −0.0416130 0.149877i
\(498\) 6.66843 24.0175i 0.000600040 0.00216115i
\(499\) 2974.18 + 1789.51i 0.266819 + 0.160540i 0.642676 0.766138i \(-0.277824\pi\)
−0.375857 + 0.926678i \(0.622652\pi\)
\(500\) 3319.96 4896.57i 0.296946 0.437963i
\(501\) −6004.26 + 653.002i −0.535430 + 0.0582315i
\(502\) 24161.6 2627.73i 2.14818 0.233628i
\(503\) −7782.21 + 11477.9i −0.689845 + 1.01744i 0.307972 + 0.951395i \(0.400350\pi\)
−0.997816 + 0.0660491i \(0.978961\pi\)
\(504\) 105.737 + 63.6201i 0.00934508 + 0.00562275i
\(505\) 306.300 1103.19i 0.0269905 0.0972108i
\(506\) 8435.52 + 30382.0i 0.741116 + 2.66926i
\(507\) −1224.18 + 736.564i −0.107234 + 0.0645206i
\(508\) −353.669 + 6523.05i −0.0308889 + 0.569711i
\(509\) −14303.0 + 4819.25i −1.24552 + 0.419665i −0.863435 0.504461i \(-0.831691\pi\)
−0.382088 + 0.924126i \(0.624795\pi\)
\(510\) −917.155 1729.94i −0.0796320 0.150202i
\(511\) 3169.19 + 3731.06i 0.274358 + 0.322999i
\(512\) −9220.68 13599.5i −0.795899 1.17386i
\(513\) 120.047 + 2214.13i 0.0103318 + 0.190558i
\(514\) −7403.47 18581.3i −0.635317 1.59453i
\(515\) 2703.06 + 1250.57i 0.231284 + 0.107003i
\(516\) −11920.1 + 2623.82i −1.01696 + 0.223851i
\(517\) 3640.73 6867.14i 0.309708 0.584171i
\(518\) −1030.49 + 6285.72i −0.0874077 + 0.533164i
\(519\) 7079.81 5381.93i 0.598785 0.455184i
\(520\) −237.080 + 109.685i −0.0199935 + 0.00925000i
\(521\) −5364.59 5081.61i −0.451107 0.427312i 0.428114 0.903725i \(-0.359178\pi\)
−0.879222 + 0.476413i \(0.841937\pi\)
\(522\) 1161.08 + 7082.30i 0.0973550 + 0.593839i
\(523\) −2594.98 874.350i −0.216961 0.0731026i 0.208722 0.977975i \(-0.433070\pi\)
−0.425683 + 0.904872i \(0.639966\pi\)
\(524\) 2781.89 6982.01i 0.231922 0.582081i
\(525\) 1586.71 1503.01i 0.131904 0.124946i
\(526\) −11921.6 9062.56i −0.988225 0.751229i
\(527\) −17341.4 3817.14i −1.43340 0.315516i
\(528\) −5281.86 + 6218.29i −0.435348 + 0.512531i
\(529\) −16396.0 1783.17i −1.34758 0.146558i
\(530\) −813.745 −0.0666921
\(531\) −3763.08 1573.20i −0.307540 0.128571i
\(532\) 4375.09 0.356549
\(533\) 7898.58 + 859.022i 0.641886 + 0.0698093i
\(534\) 8567.81 10086.8i 0.694317 0.817414i
\(535\) 3458.94 + 761.371i 0.279520 + 0.0615270i
\(536\) −949.007 721.416i −0.0764754 0.0581351i
\(537\) 4332.57 4104.03i 0.348165 0.329799i
\(538\) −8441.47 + 21186.5i −0.676464 + 1.69780i
\(539\) −13197.3 4446.69i −1.05463 0.355348i
\(540\) 106.875 + 651.908i 0.00851697 + 0.0519512i
\(541\) −2822.63 2673.73i −0.224315 0.212482i 0.567286 0.823521i \(-0.307993\pi\)
−0.791601 + 0.611039i \(0.790752\pi\)
\(542\) 492.872 228.027i 0.0390603 0.0180712i
\(543\) 9073.89 6897.79i 0.717124 0.545143i
\(544\) 2348.12 14322.9i 0.185064 1.12884i
\(545\) 1727.44 3258.29i 0.135771 0.256092i
\(546\) −3083.26 + 678.676i −0.241669 + 0.0531954i
\(547\) −19695.4 9112.06i −1.53952 0.712255i −0.547317 0.836926i \(-0.684351\pi\)
−0.992198 + 0.124670i \(0.960213\pi\)
\(548\) −5228.92 13123.6i −0.407607 1.02302i
\(549\) 217.024 + 4002.77i 0.0168713 + 0.311173i
\(550\) −12207.6 18004.8i −0.946424 1.39587i
\(551\) 10424.6 + 12272.8i 0.805992 + 0.948887i
\(552\) 522.916 + 986.325i 0.0403203 + 0.0760521i
\(553\) −2701.50 + 910.240i −0.207738 + 0.0699952i
\(554\) 27.1341 500.459i 0.00208090 0.0383799i
\(555\) −1849.02 + 1112.52i −0.141417 + 0.0850881i
\(556\) 974.488 + 3509.79i 0.0743300 + 0.267713i
\(557\) −4946.15 + 17814.4i −0.376257 + 1.35515i 0.496939 + 0.867785i \(0.334457\pi\)
−0.873196 + 0.487369i \(0.837957\pi\)
\(558\) 9941.69 + 5981.72i 0.754239 + 0.453811i
\(559\) 11089.7 16356.1i 0.839079 1.23755i
\(560\) −1054.98 + 114.736i −0.0796088 + 0.00865798i
\(561\) −7651.10 + 832.107i −0.575810 + 0.0626231i
\(562\) 5661.75 8350.45i 0.424958 0.626766i
\(563\) −2710.66 1630.95i −0.202914 0.122089i 0.410470 0.911874i \(-0.365365\pi\)
−0.613384 + 0.789785i \(0.710192\pi\)
\(564\) 1163.33 4189.95i 0.0868532 0.312817i
\(565\) 639.231 + 2302.30i 0.0475976 + 0.171431i
\(566\) −31788.1 + 19126.3i −2.36070 + 1.42038i
\(567\) −27.3540 + 504.516i −0.00202604 + 0.0373680i
\(568\) −575.529 + 193.918i −0.0425152 + 0.0143250i
\(569\) 3992.37 + 7530.41i 0.294146 + 0.554817i 0.985904 0.167311i \(-0.0535085\pi\)
−0.691758 + 0.722129i \(0.743164\pi\)
\(570\) 1858.39 + 2187.86i 0.136560 + 0.160771i
\(571\) 8139.38 + 12004.7i 0.596537 + 0.879826i 0.999372 0.0354470i \(-0.0112855\pi\)
−0.402835 + 0.915273i \(0.631975\pi\)
\(572\) 878.387 + 16200.9i 0.0642084 + 1.18425i
\(573\) −582.828 1462.79i −0.0424922 0.106647i
\(574\) −4409.85 2040.22i −0.320669 0.148357i
\(575\) 19309.8 4250.40i 1.40048 0.308268i
\(576\) −2439.55 + 4601.49i −0.176472 + 0.332862i
\(577\) −2907.37 + 17734.2i −0.209767 + 1.27952i 0.646471 + 0.762939i \(0.276244\pi\)
−0.856237 + 0.516582i \(0.827204\pi\)
\(578\) −5747.08 + 4368.82i −0.413576 + 0.314392i
\(579\) 13499.7 6245.63i 0.968961 0.448289i
\(580\) 3482.83 + 3299.11i 0.249339 + 0.236187i
\(581\) −2.06166 12.5755i −0.000147215 0.000897971i
\(582\) 6770.76 + 2281.34i 0.482229 + 0.162482i
\(583\) −1183.89 + 2971.34i −0.0841024 + 0.211081i
\(584\) 1252.40 1186.34i 0.0887408 0.0840598i
\(585\) −851.467 647.268i −0.0601774 0.0457457i
\(586\) 12938.3 + 2847.94i 0.912077 + 0.200763i
\(587\) −7291.62 + 8584.36i −0.512704 + 0.603602i −0.956214 0.292667i \(-0.905457\pi\)
0.443510 + 0.896269i \(0.353733\pi\)
\(588\) −7745.56 842.381i −0.543234 0.0590803i
\(589\) 26032.3 1.82113
\(590\) −5110.79 + 1326.82i −0.356624 + 0.0925839i
\(591\) 5136.82 0.357530
\(592\) −14822.8 1612.08i −1.02908 0.111919i
\(593\) −2676.96 + 3151.56i −0.185378 + 0.218244i −0.846999 0.531594i \(-0.821593\pi\)
0.661621 + 0.749839i \(0.269869\pi\)
\(594\) 4911.30 + 1081.06i 0.339247 + 0.0746740i
\(595\) −796.918 605.802i −0.0549083 0.0417402i
\(596\) 10731.8 10165.7i 0.737573 0.698666i
\(597\) −183.637 + 460.893i −0.0125892 + 0.0315965i
\(598\) −27065.8 9119.53i −1.85084 0.623621i
\(599\) −2027.63 12368.0i −0.138308 0.843643i −0.961283 0.275564i \(-0.911135\pi\)
0.822974 0.568079i \(-0.192313\pi\)
\(600\) −559.142 529.647i −0.0380448 0.0360379i
\(601\) 20672.1 9563.92i 1.40305 0.649119i 0.435125 0.900370i \(-0.356704\pi\)
0.967922 + 0.251251i \(0.0808420\pi\)
\(602\) −9620.91 + 7313.63i −0.651361 + 0.495151i
\(603\) 789.637 4816.57i 0.0533275 0.325283i
\(604\) 12397.1 23383.4i 0.835151 1.57526i
\(605\) 2144.05 471.942i 0.144080 0.0317143i
\(606\) −4425.44 2047.42i −0.296652 0.137246i
\(607\) 5642.30 + 14161.1i 0.377288 + 0.946921i 0.987914 + 0.155002i \(0.0495385\pi\)
−0.610626 + 0.791919i \(0.709082\pi\)
\(608\) 1152.00 + 21247.5i 0.0768420 + 1.41727i
\(609\) 2059.08 + 3036.91i 0.137008 + 0.202072i
\(610\) 3359.64 + 3955.27i 0.222996 + 0.262532i
\(611\) 3297.75 + 6220.21i 0.218351 + 0.411854i
\(612\) −4080.35 + 1374.83i −0.269507 + 0.0908075i
\(613\) 774.928 14292.7i 0.0510588 0.941724i −0.855015 0.518604i \(-0.826452\pi\)
0.906073 0.423120i \(-0.139065\pi\)
\(614\) −3892.53 + 2342.06i −0.255846 + 0.153938i
\(615\) −440.384 1586.12i −0.0288748 0.103997i
\(616\) 167.989 605.041i 0.0109878 0.0395743i
\(617\) −19634.4 11813.6i −1.28112 0.770825i −0.298138 0.954523i \(-0.596365\pi\)
−0.982983 + 0.183698i \(0.941193\pi\)
\(618\) 7118.30 10498.7i 0.463334 0.683366i
\(619\) −8981.12 + 976.756i −0.583169 + 0.0634235i −0.394949 0.918703i \(-0.629238\pi\)
−0.188221 + 0.982127i \(0.560272\pi\)
\(620\) 7710.17 838.531i 0.499432 0.0543165i
\(621\) −2565.12 + 3783.26i −0.165756 + 0.244472i
\(622\) 35531.1 + 21378.3i 2.29046 + 1.37812i
\(623\) 1810.12 6519.47i 0.116406 0.419257i
\(624\) −1977.07 7120.77i −0.126837 0.456825i
\(625\) −10808.9 + 6503.52i −0.691772 + 0.416225i
\(626\) 762.457 14062.7i 0.0486804 0.897856i
\(627\) 10692.5 3602.73i 0.681051 0.229473i
\(628\) 9706.94 + 18309.2i 0.616798 + 1.16340i
\(629\) −9105.42 10719.7i −0.577197 0.679529i
\(630\) 367.072 + 541.390i 0.0232135 + 0.0342373i
\(631\) 1408.41 + 25976.6i 0.0888557 + 1.63885i 0.615054 + 0.788485i \(0.289134\pi\)
−0.526198 + 0.850362i \(0.676383\pi\)
\(632\) 371.828 + 933.218i 0.0234027 + 0.0587365i
\(633\) −9471.46 4381.96i −0.594719 0.275146i
\(634\) −12367.9 + 2722.38i −0.774752 + 0.170536i
\(635\) −1026.43 + 1936.06i −0.0641460 + 0.120992i
\(636\) −289.500 + 1765.87i −0.0180494 + 0.110096i
\(637\) 10042.2 7633.88i 0.624625 0.474828i
\(638\) 33144.1 15334.1i 2.05672 0.951540i
\(639\) −1805.27 1710.05i −0.111761 0.105866i
\(640\) 130.106 + 793.613i 0.00803578 + 0.0490161i
\(641\) 27681.9 + 9327.10i 1.70572 + 0.574725i 0.992060 0.125766i \(-0.0401388\pi\)
0.713662 + 0.700490i \(0.247035\pi\)
\(642\) 5583.12 14012.6i 0.343222 0.861421i
\(643\) 6021.19 5703.58i 0.369289 0.349809i −0.480441 0.877027i \(-0.659523\pi\)
0.849730 + 0.527218i \(0.176765\pi\)
\(644\) 7179.74 + 5457.89i 0.439319 + 0.333961i
\(645\) −3998.51 880.138i −0.244095 0.0537293i
\(646\) −12112.6 + 14260.1i −0.737717 + 0.868507i
\(647\) 447.793 + 48.7005i 0.0272095 + 0.00295922i 0.121714 0.992565i \(-0.461161\pi\)
−0.0945041 + 0.995524i \(0.530127\pi\)
\(648\) 178.047 0.0107938
\(649\) −2590.70 + 20592.1i −0.156693 + 1.24547i
\(650\) 19703.9 1.18900
\(651\) 5896.99 + 641.336i 0.355025 + 0.0386113i
\(652\) −17152.4 + 20193.3i −1.03027 + 1.21293i
\(653\) 28072.6 + 6179.25i 1.68234 + 0.370311i 0.950393 0.311053i \(-0.100682\pi\)
0.731945 + 0.681363i \(0.238613\pi\)
\(654\) −12503.7 9505.04i −0.747603 0.568313i
\(655\) 1830.32 1733.77i 0.109185 0.103426i
\(656\) 4209.92 10566.1i 0.250564 0.628868i
\(657\) 6693.45 + 2255.29i 0.397468 + 0.133923i
\(658\) −696.566 4248.87i −0.0412690 0.251730i
\(659\) 6517.26 + 6173.47i 0.385245 + 0.364923i 0.855675 0.517514i \(-0.173143\pi\)
−0.470430 + 0.882437i \(0.655901\pi\)
\(660\) 3050.83 1411.46i 0.179929 0.0832442i
\(661\) −12534.9 + 9528.75i −0.737593 + 0.560704i −0.905116 0.425164i \(-0.860216\pi\)
0.167523 + 0.985868i \(0.446423\pi\)
\(662\) 5420.07 33060.9i 0.318213 1.94101i
\(663\) 3265.36 6159.12i 0.191276 0.360785i
\(664\) −4.38567 + 0.965358i −0.000256321 + 5.64204e-5i
\(665\) 1331.95 + 616.224i 0.0776702 + 0.0359341i
\(666\) 3401.68 + 8537.58i 0.197917 + 0.496733i
\(667\) 1797.06 + 33144.8i 0.104321 + 1.92410i
\(668\) 9648.97 + 14231.2i 0.558877 + 0.824282i
\(669\) −2374.80 2795.83i −0.137242 0.161574i
\(670\) −2959.74 5582.65i −0.170664 0.321906i
\(671\) 19330.2 6513.12i 1.11212 0.374719i
\(672\) −262.497 + 4841.48i −0.0150685 + 0.277923i
\(673\) 10696.8 6436.06i 0.612677 0.368636i −0.175141 0.984543i \(-0.556038\pi\)
0.787818 + 0.615908i \(0.211211\pi\)
\(674\) −11353.7 40892.3i −0.648855 2.33696i
\(675\) 843.625 3038.46i 0.0481054 0.173260i
\(676\) 3485.02 + 2096.87i 0.198283 + 0.119303i
\(677\) 15621.4 23039.8i 0.886822 1.30796i −0.0639121 0.997956i \(-0.520358\pi\)
0.950734 0.310009i \(-0.100332\pi\)
\(678\) 10116.5 1100.24i 0.573041 0.0623220i
\(679\) 3631.34 394.932i 0.205240 0.0223212i
\(680\) −197.962 + 291.972i −0.0111640 + 0.0164656i
\(681\) −1735.47 1044.20i −0.0976552 0.0587572i
\(682\) 15794.7 56887.4i 0.886819 3.19403i
\(683\) 5544.33 + 19968.9i 0.310612 + 1.11872i 0.939872 + 0.341528i \(0.110944\pi\)
−0.629260 + 0.777195i \(0.716642\pi\)
\(684\) 5408.92 3254.44i 0.302361 0.181925i
\(685\) 256.552 4731.82i 0.0143100 0.263932i
\(686\) −15556.6 + 5241.64i −0.865824 + 0.291730i
\(687\) 5769.26 + 10882.0i 0.320395 + 0.604329i
\(688\) −18314.1 21561.0i −1.01485 1.19477i
\(689\) −1625.86 2397.97i −0.0898991 0.132591i
\(690\) 320.361 + 5908.71i 0.0176753 + 0.326001i
\(691\) −3620.65 9087.14i −0.199328 0.500276i 0.795003 0.606606i \(-0.207469\pi\)
−0.994331 + 0.106330i \(0.966090\pi\)
\(692\) −22977.4 10630.5i −1.26224 0.583975i
\(693\) 2510.89 552.689i 0.137635 0.0302957i
\(694\) −19212.9 + 36239.3i −1.05088 + 1.98217i
\(695\) −197.676 + 1205.77i −0.0107889 + 0.0658094i
\(696\) 1029.33 782.473i 0.0560582 0.0426143i
\(697\) 9737.48 4505.04i 0.529173 0.244821i
\(698\) −12310.4 11661.0i −0.667556 0.632343i
\(699\) 795.804 + 4854.19i 0.0430616 + 0.262664i
\(700\) −5896.23 1986.67i −0.318366 0.107270i
\(701\) 6214.89 15598.2i 0.334855 0.840422i −0.661078 0.750318i \(-0.729901\pi\)
0.995932 0.0901045i \(-0.0287201\pi\)
\(702\) −3306.99 + 3132.55i −0.177798 + 0.168420i
\(703\) 16415.5 + 12478.8i 0.880687 + 0.669481i
\(704\) 25882.2 + 5697.11i 1.38561 + 0.304997i
\(705\) 944.312 1111.73i 0.0504466 0.0593903i
\(706\) 41988.3 + 4566.50i 2.23831 + 0.243431i
\(707\) −2492.90 −0.132610
\(708\) 1061.05 + 11562.7i 0.0563232 + 0.613777i
\(709\) −12984.4 −0.687785 −0.343893 0.939009i \(-0.611746\pi\)
−0.343893 + 0.939009i \(0.611746\pi\)
\(710\) −3200.27 348.051i −0.169161 0.0183973i
\(711\) −2662.77 + 3134.86i −0.140452 + 0.165353i
\(712\) −2328.56 512.555i −0.122565 0.0269787i
\(713\) 42720.4 + 32475.2i 2.24388 + 1.70576i
\(714\) −3095.14 + 2931.87i −0.162230 + 0.153673i
\(715\) −2014.45 + 5055.90i −0.105365 + 0.264447i
\(716\) −16099.9 5424.68i −0.840336 0.283142i
\(717\) −287.564 1754.07i −0.0149781 0.0913623i
\(718\) 25317.3 + 23981.8i 1.31592 + 1.24651i
\(719\) 12965.8 5998.63i 0.672523 0.311142i −0.0537442 0.998555i \(-0.517116\pi\)
0.726267 + 0.687412i \(0.241253\pi\)
\(720\) −1218.92 + 926.600i −0.0630924 + 0.0479616i
\(721\) 1049.13 6399.43i 0.0541911 0.330551i
\(722\) −217.966 + 411.127i −0.0112352 + 0.0211919i
\(723\) −7426.92 + 1634.79i −0.382033 + 0.0840919i
\(724\) −29449.2 13624.6i −1.51170 0.699387i
\(725\) −8476.11 21273.4i −0.434200 1.08976i
\(726\) −506.192 9336.16i −0.0258768 0.477269i
\(727\) −2498.75 3685.39i −0.127474 0.188010i 0.758596 0.651561i \(-0.225886\pi\)
−0.886070 + 0.463551i \(0.846575\pi\)
\(728\) 368.216 + 433.498i 0.0187459 + 0.0220694i
\(729\) 341.470 + 644.080i 0.0173485 + 0.0327227i
\(730\) 8665.25 2919.66i 0.439336 0.148030i
\(731\) 1444.72 26646.3i 0.0730984 1.34822i
\(732\) 9778.39 5883.46i 0.493743 0.297075i
\(733\) −32.6765 117.690i −0.00164657 0.00593041i 0.962722 0.270492i \(-0.0871865\pi\)
−0.964369 + 0.264562i \(0.914773\pi\)
\(734\) 2358.96 8496.21i 0.118625 0.427249i
\(735\) −2239.40 1347.40i −0.112383 0.0676187i
\(736\) −24615.6 + 36305.3i −1.23280 + 1.81825i
\(737\) −24690.7 + 2685.28i −1.23405 + 0.134211i
\(738\) −6969.53 + 757.982i −0.347631 + 0.0378072i
\(739\) 11410.4 16829.1i 0.567981 0.837710i −0.429893 0.902880i \(-0.641449\pi\)
0.997874 + 0.0651703i \(0.0207591\pi\)
\(740\) 5263.85 + 3167.15i 0.261490 + 0.157334i
\(741\) −2734.20 + 9847.70i −0.135551 + 0.488211i
\(742\) 474.008 + 1707.22i 0.0234520 + 0.0844665i
\(743\) −11212.7 + 6746.45i −0.553638 + 0.333113i −0.764728 0.644354i \(-0.777127\pi\)
0.211089 + 0.977467i \(0.432299\pi\)
\(744\) 113.166 2087.23i 0.00557645 0.102852i
\(745\) 4699.02 1583.28i 0.231086 0.0778618i
\(746\) 16598.4 + 31307.9i 0.814625 + 1.53655i
\(747\) −11.9032 14.0136i −0.000583021 0.000686385i
\(748\) 12295.5 + 18134.5i 0.601026 + 0.886447i
\(749\) −417.498 7700.30i −0.0203672 0.375651i
\(750\) −3128.25 7851.32i −0.152304 0.382253i
\(751\) −5025.67 2325.12i −0.244193 0.112976i 0.293975 0.955813i \(-0.405022\pi\)
−0.538169 + 0.842837i \(0.680884\pi\)
\(752\) 9842.99 2166.61i 0.477310 0.105064i
\(753\) 8397.52 15839.4i 0.406404 0.766560i
\(754\) −5351.59 + 32643.3i −0.258479 + 1.57665i
\(755\) 7067.68 5372.71i 0.340688 0.258984i
\(756\) 1305.44 603.959i 0.0628019 0.0290553i
\(757\) −1078.05 1021.19i −0.0517603 0.0490299i 0.661382 0.750049i \(-0.269970\pi\)
−0.713142 + 0.701019i \(0.752729\pi\)
\(758\) 1975.51 + 12050.1i 0.0946621 + 0.577414i
\(759\) 22041.4 + 7426.60i 1.05409 + 0.355163i
\(760\) 191.422 480.433i 0.00913632 0.0229304i
\(761\) −2930.08 + 2775.52i −0.139573 + 0.132211i −0.754302 0.656528i \(-0.772024\pi\)
0.614728 + 0.788739i \(0.289266\pi\)
\(762\) 7429.59 + 5647.83i 0.353210 + 0.268503i
\(763\) −7842.08 1726.17i −0.372087 0.0819025i
\(764\) −2902.03 + 3416.53i −0.137424 + 0.161788i
\(765\) −1435.86 156.159i −0.0678610 0.00738032i
\(766\) −56247.9 −2.65316
\(767\) −14121.3 12409.6i −0.664786 0.584207i
\(768\) −10463.4 −0.491624
\(769\) 8276.60 + 900.135i 0.388117 + 0.0422103i 0.300098 0.953908i \(-0.402981\pi\)
0.0880194 + 0.996119i \(0.471946\pi\)
\(770\) 2154.75 2536.77i 0.100846 0.118726i
\(771\) −14409.4