Properties

Label 177.4.e.a.4.1
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 4.1
Character \(\chi\) \(=\) 177.4
Dual form 177.4.e.a.133.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-5.26239 - 0.572319i) q^{2} +(-1.94216 + 2.28649i) q^{3} +(19.5522 + 4.30376i) q^{4} +(-16.6552 - 12.6610i) q^{5} +(11.5290 - 10.9208i) q^{6} +(-1.92301 + 4.82639i) q^{7} +(-60.2975 - 20.3166i) q^{8} +(-1.45604 - 8.88144i) q^{9} +O(q^{10})\) \(q+(-5.26239 - 0.572319i) q^{2} +(-1.94216 + 2.28649i) q^{3} +(19.5522 + 4.30376i) q^{4} +(-16.6552 - 12.6610i) q^{5} +(11.5290 - 10.9208i) q^{6} +(-1.92301 + 4.82639i) q^{7} +(-60.2975 - 20.3166i) q^{8} +(-1.45604 - 8.88144i) q^{9} +(80.4000 + 76.1589i) q^{10} +(11.4273 - 5.28684i) q^{11} +(-47.8140 + 36.3472i) q^{12} +(10.4569 - 63.7845i) q^{13} +(12.8819 - 24.2978i) q^{14} +(61.2962 - 13.4923i) q^{15} +(160.322 + 74.1728i) q^{16} +(-10.9701 - 27.5329i) q^{17} +(2.57922 + 47.5709i) q^{18} +(-82.0305 - 120.986i) q^{19} +(-271.156 - 319.230i) q^{20} +(-7.30068 - 13.7706i) q^{21} +(-63.1607 + 21.2813i) q^{22} +(-1.40856 + 25.9793i) q^{23} +(163.561 - 98.4113i) q^{24} +(83.6550 + 301.298i) q^{25} +(-91.5335 + 329.674i) q^{26} +(23.1351 + 13.9200i) q^{27} +(-58.3707 + 86.0903i) q^{28} +(170.874 - 18.5837i) q^{29} +(-330.286 + 35.9208i) q^{30} +(-53.7278 + 79.2425i) q^{31} +(-365.063 - 219.651i) q^{32} +(-10.1054 + 36.3963i) q^{33} +(41.9713 + 151.167i) q^{34} +(93.1349 - 56.0374i) q^{35} +(9.75487 - 179.918i) q^{36} +(-252.909 + 85.2149i) q^{37} +(362.434 + 683.623i) q^{38} +(125.533 + 147.789i) q^{39} +(747.040 + 1101.80i) q^{40} +(14.4188 + 265.939i) q^{41} +(30.5379 + 76.6443i) q^{42} +(-329.650 - 152.512i) q^{43} +(246.182 - 54.1888i) q^{44} +(-88.1969 + 166.357i) q^{45} +(22.2808 - 135.907i) q^{46} +(-290.828 + 221.082i) q^{47} +(-480.966 + 222.519i) q^{48} +(229.420 + 217.319i) q^{49} +(-267.786 - 1633.42i) q^{50} +(84.2592 + 28.3902i) q^{51} +(478.969 - 1202.12i) q^{52} +(-381.651 + 361.519i) q^{53} +(-113.779 - 86.4929i) q^{54} +(-257.261 - 56.6273i) q^{55} +(214.008 - 251.950i) q^{56} +(435.949 + 47.4123i) q^{57} -909.840 q^{58} +(-428.744 - 146.824i) q^{59} +1256.54 q^{60} +(885.783 + 96.3347i) q^{61} +(328.088 - 386.255i) q^{62} +(45.6653 + 10.0517i) q^{63} +(670.363 + 509.596i) q^{64} +(-981.735 + 929.949i) q^{65} +(74.0086 - 185.748i) q^{66} +(-113.266 - 38.1638i) q^{67} +(-95.9946 - 585.541i) q^{68} +(-56.6656 - 53.6765i) q^{69} +(-522.183 + 241.587i) q^{70} +(547.660 - 416.320i) q^{71} +(-92.6451 + 565.110i) q^{72} +(-93.3947 + 176.161i) q^{73} +(1379.67 - 303.689i) q^{74} +(-851.385 - 393.893i) q^{75} +(-1083.18 - 2718.58i) q^{76} +(3.54151 + 65.3193i) q^{77} +(-576.022 - 849.569i) q^{78} +(124.492 + 146.564i) q^{79} +(-1731.10 - 3265.19i) q^{80} +(-76.7599 + 25.8634i) q^{81} +(76.3248 - 1407.73i) q^{82} +(532.226 - 320.230i) q^{83} +(-83.4792 - 300.665i) q^{84} +(-165.883 + 597.458i) q^{85} +(1647.46 + 991.243i) q^{86} +(-289.373 + 426.793i) q^{87} +(-796.448 + 86.6190i) q^{88} +(843.372 - 91.7222i) q^{89} +(559.335 - 824.958i) q^{90} +(287.740 + 173.127i) q^{91} +(-139.349 + 501.890i) q^{92} +(-76.8391 - 276.749i) q^{93} +(1656.98 - 996.972i) q^{94} +(-165.563 + 3053.63i) q^{95} +(1211.24 - 408.114i) q^{96} +(106.041 + 200.014i) q^{97} +(-1082.92 - 1274.92i) q^{98} +(-63.5933 - 93.7931i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −5.26239 0.572319i −1.86053 0.202345i −0.892138 0.451762i \(-0.850795\pi\)
−0.968396 + 0.249417i \(0.919761\pi\)
\(3\) −1.94216 + 2.28649i −0.373769 + 0.440034i
\(4\) 19.5522 + 4.30376i 2.44402 + 0.537970i
\(5\) −16.6552 12.6610i −1.48969 1.13243i −0.958470 0.285195i \(-0.907942\pi\)
−0.531217 0.847236i \(-0.678265\pi\)
\(6\) 11.5290 10.9208i 0.784448 0.743069i
\(7\) −1.92301 + 4.82639i −0.103833 + 0.260601i −0.971710 0.236179i \(-0.924105\pi\)
0.867877 + 0.496779i \(0.165484\pi\)
\(8\) −60.2975 20.3166i −2.66480 0.897875i
\(9\) −1.45604 8.88144i −0.0539273 0.328942i
\(10\) 80.4000 + 76.1589i 2.54247 + 2.40836i
\(11\) 11.4273 5.28684i 0.313224 0.144913i −0.256978 0.966417i \(-0.582727\pi\)
0.570202 + 0.821504i \(0.306865\pi\)
\(12\) −47.8140 + 36.3472i −1.15023 + 0.874378i
\(13\) 10.4569 63.7845i 0.223095 1.36082i −0.603205 0.797586i \(-0.706110\pi\)
0.826299 0.563231i \(-0.190442\pi\)
\(14\) 12.8819 24.2978i 0.245916 0.463846i
\(15\) 61.2962 13.4923i 1.05511 0.232247i
\(16\) 160.322 + 74.1728i 2.50503 + 1.15895i
\(17\) −10.9701 27.5329i −0.156508 0.392806i 0.829724 0.558174i \(-0.188498\pi\)
−0.986232 + 0.165368i \(0.947119\pi\)
\(18\) 2.57922 + 47.5709i 0.0337738 + 0.622920i
\(19\) −82.0305 120.986i −0.990479 1.46085i −0.884535 0.466475i \(-0.845524\pi\)
−0.105944 0.994372i \(-0.533786\pi\)
\(20\) −271.156 319.230i −3.03162 3.56910i
\(21\) −7.30068 13.7706i −0.0758638 0.143094i
\(22\) −63.1607 + 21.2813i −0.612086 + 0.206236i
\(23\) −1.40856 + 25.9793i −0.0127697 + 0.235524i 0.985180 + 0.171523i \(0.0548688\pi\)
−0.997950 + 0.0640009i \(0.979614\pi\)
\(24\) 163.561 98.4113i 1.39111 0.837005i
\(25\) 83.6550 + 301.298i 0.669240 + 2.41038i
\(26\) −91.5335 + 329.674i −0.690431 + 2.48671i
\(27\) 23.1351 + 13.9200i 0.164902 + 0.0992184i
\(28\) −58.3707 + 86.0903i −0.393965 + 0.581055i
\(29\) 170.874 18.5837i 1.09415 0.118996i 0.456802 0.889569i \(-0.348995\pi\)
0.637353 + 0.770572i \(0.280029\pi\)
\(30\) −330.286 + 35.9208i −2.01006 + 0.218607i
\(31\) −53.7278 + 79.2425i −0.311284 + 0.459109i −0.950861 0.309618i \(-0.899799\pi\)
0.639578 + 0.768727i \(0.279109\pi\)
\(32\) −365.063 219.651i −2.01671 1.21341i
\(33\) −10.1054 + 36.3963i −0.0533066 + 0.191993i
\(34\) 41.9713 + 151.167i 0.211707 + 0.762498i
\(35\) 93.1349 56.0374i 0.449790 0.270630i
\(36\) 9.75487 179.918i 0.0451615 0.832954i
\(37\) −252.909 + 85.2149i −1.12373 + 0.378628i −0.818990 0.573808i \(-0.805466\pi\)
−0.304738 + 0.952436i \(0.598569\pi\)
\(38\) 362.434 + 683.623i 1.54722 + 2.91837i
\(39\) 125.533 + 147.789i 0.515421 + 0.606800i
\(40\) 747.040 + 1101.80i 2.95293 + 4.35525i
\(41\) 14.4188 + 265.939i 0.0549229 + 1.01299i 0.888002 + 0.459840i \(0.152093\pi\)
−0.833079 + 0.553154i \(0.813424\pi\)
\(42\) 30.5379 + 76.6443i 0.112193 + 0.281583i
\(43\) −329.650 152.512i −1.16910 0.540881i −0.263349 0.964701i \(-0.584827\pi\)
−0.905747 + 0.423820i \(0.860689\pi\)
\(44\) 246.182 54.1888i 0.843486 0.185665i
\(45\) −88.1969 + 166.357i −0.292169 + 0.551090i
\(46\) 22.2808 135.907i 0.0714157 0.435617i
\(47\) −290.828 + 221.082i −0.902589 + 0.686130i −0.949834 0.312753i \(-0.898749\pi\)
0.0472458 + 0.998883i \(0.484956\pi\)
\(48\) −480.966 + 222.519i −1.44628 + 0.669120i
\(49\) 229.420 + 217.319i 0.668864 + 0.633582i
\(50\) −267.786 1633.42i −0.757414 4.62002i
\(51\) 84.2592 + 28.3902i 0.231346 + 0.0779496i
\(52\) 478.969 1202.12i 1.27733 3.20585i
\(53\) −381.651 + 361.519i −0.989129 + 0.936952i −0.998013 0.0630080i \(-0.979931\pi\)
0.00888430 + 0.999961i \(0.497172\pi\)
\(54\) −113.779 86.4929i −0.286730 0.217966i
\(55\) −257.261 56.6273i −0.630709 0.138830i
\(56\) 214.008 251.950i 0.510680 0.601219i
\(57\) 435.949 + 47.4123i 1.01303 + 0.110174i
\(58\) −909.840 −2.05979
\(59\) −428.744 146.824i −0.946064 0.323981i
\(60\) 1256.54 2.70365
\(61\) 885.783 + 96.3347i 1.85923 + 0.202203i 0.967931 0.251216i \(-0.0808305\pi\)
0.891297 + 0.453419i \(0.149796\pi\)
\(62\) 328.088 386.255i 0.672052 0.791201i
\(63\) 45.6653 + 10.0517i 0.0913220 + 0.0201015i
\(64\) 670.363 + 509.596i 1.30930 + 0.995305i
\(65\) −981.735 + 929.949i −1.87337 + 1.77455i
\(66\) 74.0086 185.748i 0.138028 0.346424i
\(67\) −113.266 38.1638i −0.206532 0.0695887i 0.214134 0.976804i \(-0.431307\pi\)
−0.420666 + 0.907216i \(0.638204\pi\)
\(68\) −95.9946 585.541i −0.171192 1.04422i
\(69\) −56.6656 53.6765i −0.0988658 0.0936506i
\(70\) −522.183 + 241.587i −0.891611 + 0.412503i
\(71\) 547.660 416.320i 0.915426 0.695889i −0.0374341 0.999299i \(-0.511918\pi\)
0.952860 + 0.303410i \(0.0981253\pi\)
\(72\) −92.6451 + 565.110i −0.151643 + 0.924984i
\(73\) −93.3947 + 176.161i −0.149740 + 0.282440i −0.947023 0.321166i \(-0.895925\pi\)
0.797283 + 0.603606i \(0.206270\pi\)
\(74\) 1379.67 303.689i 2.16735 0.477070i
\(75\) −851.385 393.893i −1.31079 0.606437i
\(76\) −1083.18 2718.58i −1.63486 4.10319i
\(77\) 3.54151 + 65.3193i 0.00524146 + 0.0966730i
\(78\) −576.022 849.569i −0.836175 1.23327i
\(79\) 124.492 + 146.564i 0.177297 + 0.208730i 0.843631 0.536923i \(-0.180413\pi\)
−0.666334 + 0.745653i \(0.732138\pi\)
\(80\) −1731.10 3265.19i −2.41928 4.56325i
\(81\) −76.7599 + 25.8634i −0.105295 + 0.0354779i
\(82\) 76.3248 1407.73i 0.102789 1.89582i
\(83\) 532.226 320.230i 0.703848 0.423491i −0.118139 0.992997i \(-0.537693\pi\)
0.821987 + 0.569506i \(0.192865\pi\)
\(84\) −83.4792 300.665i −0.108432 0.390539i
\(85\) −165.883 + 597.458i −0.211677 + 0.762393i
\(86\) 1647.46 + 991.243i 2.06570 + 1.24289i
\(87\) −289.373 + 426.793i −0.356598 + 0.525943i
\(88\) −796.448 + 86.6190i −0.964792 + 0.104927i
\(89\) 843.372 91.7222i 1.00446 0.109242i 0.408924 0.912568i \(-0.365904\pi\)
0.595539 + 0.803326i \(0.296939\pi\)
\(90\) 559.335 824.958i 0.655102 0.966202i
\(91\) 287.740 + 173.127i 0.331465 + 0.199436i
\(92\) −139.349 + 501.890i −0.157915 + 0.568757i
\(93\) −76.8391 276.749i −0.0856757 0.308576i
\(94\) 1656.98 996.972i 1.81813 1.09393i
\(95\) −165.563 + 3053.63i −0.178804 + 3.29785i
\(96\) 1211.24 408.114i 1.28773 0.433885i
\(97\) 106.041 + 200.014i 0.110998 + 0.209364i 0.932787 0.360427i \(-0.117369\pi\)
−0.821790 + 0.569791i \(0.807024\pi\)
\(98\) −1082.92 1274.92i −1.11624 1.31414i
\(99\) −63.5933 93.7931i −0.0645593 0.0952178i
\(100\) 338.923 + 6251.07i 0.338923 + 6.25107i
\(101\) −332.462 834.416i −0.327536 0.822054i −0.996867 0.0790899i \(-0.974799\pi\)
0.669331 0.742964i \(-0.266581\pi\)
\(102\) −427.156 197.624i −0.414655 0.191840i
\(103\) −22.0816 + 4.86053i −0.0211240 + 0.00464973i −0.225520 0.974239i \(-0.572408\pi\)
0.204396 + 0.978888i \(0.434477\pi\)
\(104\) −1926.41 + 3633.59i −1.81635 + 3.42599i
\(105\) −52.7540 + 321.785i −0.0490311 + 0.299076i
\(106\) 2215.30 1684.03i 2.02990 1.54309i
\(107\) −1156.11 + 534.872i −1.04453 + 0.483252i −0.865667 0.500621i \(-0.833105\pi\)
−0.178866 + 0.983873i \(0.557243\pi\)
\(108\) 392.435 + 371.734i 0.349649 + 0.331205i
\(109\) 116.297 + 709.382i 0.102195 + 0.623363i 0.987410 + 0.158181i \(0.0505628\pi\)
−0.885215 + 0.465182i \(0.845989\pi\)
\(110\) 1321.40 + 445.230i 1.14536 + 0.385918i
\(111\) 296.346 743.773i 0.253405 0.635999i
\(112\) −666.288 + 631.141i −0.562127 + 0.532475i
\(113\) 615.415 + 467.827i 0.512331 + 0.389464i 0.829154 0.559021i \(-0.188823\pi\)
−0.316823 + 0.948485i \(0.602616\pi\)
\(114\) −2267.00 499.004i −1.86249 0.409965i
\(115\) 352.382 414.856i 0.285738 0.336396i
\(116\) 3420.94 + 372.050i 2.73816 + 0.297793i
\(117\) −581.724 −0.459661
\(118\) 2172.19 + 1018.02i 1.69463 + 0.794209i
\(119\) 153.980 0.118616
\(120\) −3970.12 431.777i −3.02017 0.328464i
\(121\) −759.038 + 893.609i −0.570277 + 0.671382i
\(122\) −4606.20 1013.90i −3.41824 0.752412i
\(123\) −636.070 483.528i −0.466281 0.354457i
\(124\) −1391.54 + 1318.13i −1.00777 + 0.954612i
\(125\) 1453.46 3647.92i 1.04001 2.61024i
\(126\) −234.556 79.0310i −0.165840 0.0558781i
\(127\) −52.4087 319.679i −0.0366183 0.223361i 0.962177 0.272423i \(-0.0878251\pi\)
−0.998796 + 0.0490619i \(0.984377\pi\)
\(128\) −761.578 721.405i −0.525895 0.498155i
\(129\) 988.949 457.536i 0.674977 0.312278i
\(130\) 5698.50 4331.88i 3.84455 2.92255i
\(131\) −143.675 + 876.380i −0.0958241 + 0.584501i 0.894646 + 0.446775i \(0.147428\pi\)
−0.990470 + 0.137726i \(0.956021\pi\)
\(132\) −354.223 + 668.136i −0.233569 + 0.440559i
\(133\) 741.671 163.254i 0.483542 0.106436i
\(134\) 574.208 + 265.657i 0.370179 + 0.171263i
\(135\) −209.081 524.753i −0.133295 0.334545i
\(136\) 102.095 + 1883.04i 0.0643721 + 1.18727i
\(137\) −512.211 755.455i −0.319424 0.471116i 0.633750 0.773538i \(-0.281515\pi\)
−0.953174 + 0.302423i \(0.902205\pi\)
\(138\) 267.476 + 314.897i 0.164993 + 0.194245i
\(139\) −646.049 1218.58i −0.394224 0.743586i 0.604364 0.796709i \(-0.293427\pi\)
−0.998588 + 0.0531227i \(0.983083\pi\)
\(140\) 2062.16 694.823i 1.24489 0.419452i
\(141\) 59.3340 1094.35i 0.0354385 0.653624i
\(142\) −3120.26 + 1877.40i −1.84399 + 1.10949i
\(143\) −217.723 784.169i −0.127321 0.458570i
\(144\) 425.327 1531.89i 0.246138 0.886509i
\(145\) −3081.23 1853.91i −1.76470 1.06179i
\(146\) 592.299 873.576i 0.335747 0.495189i
\(147\) −942.467 + 102.499i −0.528798 + 0.0575103i
\(148\) −5311.67 + 577.679i −2.95011 + 0.320844i
\(149\) −1895.38 + 2795.48i −1.04212 + 1.53701i −0.213705 + 0.976898i \(0.568553\pi\)
−0.828415 + 0.560114i \(0.810757\pi\)
\(150\) 4254.88 + 2560.08i 2.31607 + 1.39353i
\(151\) 420.180 1513.35i 0.226449 0.815596i −0.759776 0.650185i \(-0.774691\pi\)
0.986225 0.165410i \(-0.0528949\pi\)
\(152\) 2488.21 + 8961.73i 1.32777 + 4.78219i
\(153\) −228.559 + 137.519i −0.120770 + 0.0726652i
\(154\) 18.7467 345.762i 0.00980942 0.180924i
\(155\) 1898.13 639.556i 0.983624 0.331422i
\(156\) 1818.40 + 3429.87i 0.933260 + 1.76032i
\(157\) 907.747 + 1068.68i 0.461440 + 0.543249i 0.942837 0.333253i \(-0.108146\pi\)
−0.481397 + 0.876502i \(0.659871\pi\)
\(158\) −571.245 842.524i −0.287632 0.424225i
\(159\) −85.3814 1574.77i −0.0425861 0.785454i
\(160\) 3299.21 + 8280.38i 1.63016 + 4.09139i
\(161\) −122.677 56.7566i −0.0600518 0.0277829i
\(162\) 418.742 92.1722i 0.203083 0.0447020i
\(163\) 314.732 593.648i 0.151238 0.285264i −0.796304 0.604896i \(-0.793214\pi\)
0.947542 + 0.319632i \(0.103559\pi\)
\(164\) −862.621 + 5261.75i −0.410728 + 2.50533i
\(165\) 629.119 478.243i 0.296829 0.225644i
\(166\) −2984.05 + 1380.57i −1.39523 + 0.645500i
\(167\) 1624.59 + 1538.89i 0.752781 + 0.713072i 0.964449 0.264270i \(-0.0851310\pi\)
−0.211668 + 0.977342i \(0.567890\pi\)
\(168\) 160.442 + 978.655i 0.0736809 + 0.449434i
\(169\) −1877.12 632.475i −0.854400 0.287881i
\(170\) 1214.88 3049.12i 0.548100 1.37563i
\(171\) −955.090 + 904.709i −0.427120 + 0.404590i
\(172\) −5789.00 4400.68i −2.56632 1.95087i
\(173\) 2782.11 + 612.388i 1.22266 + 0.269127i 0.778974 0.627056i \(-0.215740\pi\)
0.443683 + 0.896184i \(0.353672\pi\)
\(174\) 1767.05 2080.34i 0.769885 0.906379i
\(175\) −1615.05 175.647i −0.697636 0.0758725i
\(176\) 2224.19 0.952582
\(177\) 1168.40 695.163i 0.496172 0.295207i
\(178\) −4490.64 −1.89094
\(179\) −204.252 22.2138i −0.0852879 0.00927562i 0.0653755 0.997861i \(-0.479175\pi\)
−0.150663 + 0.988585i \(0.548141\pi\)
\(180\) −2440.40 + 2873.07i −1.01054 + 1.18970i
\(181\) 1396.64 + 307.425i 0.573546 + 0.126247i 0.492267 0.870444i \(-0.336168\pi\)
0.0812790 + 0.996691i \(0.474100\pi\)
\(182\) −1415.11 1075.74i −0.576348 0.438128i
\(183\) −1940.60 + 1838.23i −0.783898 + 0.742547i
\(184\) 612.743 1537.87i 0.245500 0.616158i
\(185\) 5291.15 + 1782.80i 2.10277 + 0.708507i
\(186\) 245.968 + 1500.34i 0.0969637 + 0.591452i
\(187\) −270.921 256.630i −0.105945 0.100356i
\(188\) −6637.82 + 3070.98i −2.57507 + 1.19135i
\(189\) −111.672 + 84.8910i −0.0429786 + 0.0326715i
\(190\) 2618.91 15974.6i 0.999977 6.09959i
\(191\) −274.918 + 518.550i −0.104148 + 0.196445i −0.930109 0.367282i \(-0.880288\pi\)
0.825961 + 0.563727i \(0.190633\pi\)
\(192\) −2467.14 + 543.058i −0.927345 + 0.204124i
\(193\) 288.845 + 133.634i 0.107728 + 0.0498403i 0.473013 0.881055i \(-0.343166\pi\)
−0.365285 + 0.930896i \(0.619028\pi\)
\(194\) −443.555 1113.24i −0.164151 0.411989i
\(195\) −219.630 4050.83i −0.0806565 1.48762i
\(196\) 3550.38 + 5236.43i 1.29387 + 1.90832i
\(197\) −108.784 128.070i −0.0393428 0.0463179i 0.742139 0.670246i \(-0.233812\pi\)
−0.781482 + 0.623928i \(0.785536\pi\)
\(198\) 280.973 + 529.971i 0.100848 + 0.190219i
\(199\) −3413.85 + 1150.26i −1.21609 + 0.409747i −0.852952 0.521989i \(-0.825190\pi\)
−0.363135 + 0.931737i \(0.618293\pi\)
\(200\) 1077.16 19867.1i 0.380834 7.02408i
\(201\) 307.241 184.861i 0.107817 0.0648711i
\(202\) 1271.99 + 4581.29i 0.443054 + 1.59574i
\(203\) −238.900 + 860.441i −0.0825985 + 0.297493i
\(204\) 1525.27 + 917.723i 0.523481 + 0.314968i
\(205\) 3126.90 4611.83i 1.06533 1.57124i
\(206\) 118.984 12.9403i 0.0402427 0.00437666i
\(207\) 232.784 25.3168i 0.0781624 0.00850068i
\(208\) 6407.55 9450.43i 2.13598 3.15033i
\(209\) −1577.02 948.862i −0.521937 0.314039i
\(210\) 461.776 1663.17i 0.151741 0.546520i
\(211\) 1580.10 + 5691.02i 0.515540 + 1.85681i 0.515640 + 0.856806i \(0.327554\pi\)
−0.000100044 1.00000i \(0.500032\pi\)
\(212\) −9018.01 + 5425.96i −2.92151 + 1.75781i
\(213\) −111.732 + 2060.78i −0.0359425 + 0.662920i
\(214\) 6389.99 2153.04i 2.04117 0.687751i
\(215\) 3559.43 + 6713.80i 1.12908 + 2.12966i
\(216\) −1112.19 1309.37i −0.350345 0.412459i
\(217\) −279.136 411.695i −0.0873226 0.128791i
\(218\) −206.009 3799.60i −0.0640030 1.18047i
\(219\) −221.402 555.678i −0.0683150 0.171458i
\(220\) −4786.30 2214.38i −1.46678 0.678606i
\(221\) −1870.88 + 411.813i −0.569454 + 0.125346i
\(222\) −1985.16 + 3744.42i −0.600160 + 1.13202i
\(223\) 73.4132 447.801i 0.0220453 0.134471i −0.973511 0.228641i \(-0.926572\pi\)
0.995556 + 0.0941707i \(0.0300200\pi\)
\(224\) 1762.14 1339.55i 0.525616 0.399563i
\(225\) 2554.15 1181.68i 0.756787 0.350127i
\(226\) −2970.81 2814.10i −0.874403 0.828279i
\(227\) −574.271 3502.90i −0.167911 1.02421i −0.927504 0.373812i \(-0.878050\pi\)
0.759594 0.650398i \(-0.225398\pi\)
\(228\) 8319.71 + 2803.24i 2.41661 + 0.814249i
\(229\) −621.137 + 1558.94i −0.179240 + 0.449858i −0.990955 0.134196i \(-0.957155\pi\)
0.811715 + 0.584054i \(0.198534\pi\)
\(230\) −2091.80 + 1981.46i −0.599693 + 0.568059i
\(231\) −156.230 118.763i −0.0444986 0.0338269i
\(232\) −10680.8 2351.03i −3.02254 0.665312i
\(233\) 3954.25 4655.31i 1.11181 1.30892i 0.165302 0.986243i \(-0.447140\pi\)
0.946508 0.322681i \(-0.104584\pi\)
\(234\) 3061.25 + 332.931i 0.855216 + 0.0930103i
\(235\) 7642.91 2.12157
\(236\) −7751.00 4715.95i −2.13791 1.30077i
\(237\) −576.899 −0.158117
\(238\) −810.303 88.1257i −0.220690 0.0240014i
\(239\) −4406.83 + 5188.12i −1.19270 + 1.40415i −0.299730 + 0.954024i \(0.596897\pi\)
−0.892965 + 0.450126i \(0.851379\pi\)
\(240\) 10827.9 + 2383.40i 2.91224 + 0.641032i
\(241\) −4640.74 3527.80i −1.24040 0.942927i −0.240782 0.970579i \(-0.577404\pi\)
−0.999618 + 0.0276523i \(0.991197\pi\)
\(242\) 4505.78 4268.10i 1.19687 1.13374i
\(243\) 89.9436 225.741i 0.0237444 0.0595939i
\(244\) 16904.4 + 5695.76i 4.43522 + 1.49440i
\(245\) −1069.58 6524.17i −0.278911 1.70128i
\(246\) 3070.52 + 2908.55i 0.795809 + 0.753830i
\(247\) −8574.81 + 3967.13i −2.20892 + 1.02195i
\(248\) 4849.59 3686.56i 1.24173 0.943939i
\(249\) −301.467 + 1838.86i −0.0767256 + 0.468005i
\(250\) −9736.47 + 18364.9i −2.46315 + 4.64600i
\(251\) 2438.25 536.699i 0.613151 0.134965i 0.102471 0.994736i \(-0.467325\pi\)
0.510679 + 0.859771i \(0.329394\pi\)
\(252\) 849.596 + 393.065i 0.212379 + 0.0982570i
\(253\) 121.252 + 304.320i 0.0301307 + 0.0756223i
\(254\) 92.8365 + 1712.27i 0.0229334 + 0.422981i
\(255\) −1043.91 1539.65i −0.256361 0.378104i
\(256\) −766.291 902.147i −0.187083 0.220251i
\(257\) −25.0721 47.2909i −0.00608542 0.0114783i 0.880451 0.474138i \(-0.157240\pi\)
−0.886536 + 0.462659i \(0.846895\pi\)
\(258\) −5466.09 + 1841.74i −1.31901 + 0.444425i
\(259\) 75.0657 1384.51i 0.0180091 0.332158i
\(260\) −23197.4 + 13957.4i −5.53323 + 3.32923i
\(261\) −413.848 1490.55i −0.0981478 0.353496i
\(262\) 1257.64 4529.62i 0.296555 1.06810i
\(263\) 1731.18 + 1041.62i 0.405891 + 0.244216i 0.703830 0.710369i \(-0.251472\pi\)
−0.297939 + 0.954585i \(0.596299\pi\)
\(264\) 1348.78 1989.30i 0.314437 0.463760i
\(265\) 10933.7 1189.11i 2.53453 0.275646i
\(266\) −3996.39 + 434.634i −0.921183 + 0.100185i
\(267\) −1428.24 + 2106.50i −0.327367 + 0.482830i
\(268\) −2050.35 1233.66i −0.467333 0.281185i
\(269\) 973.643 3506.75i 0.220684 0.794833i −0.767433 0.641130i \(-0.778466\pi\)
0.988117 0.153704i \(-0.0491201\pi\)
\(270\) 799.937 + 2881.11i 0.180306 + 0.649403i
\(271\) −1037.54 + 624.267i −0.232569 + 0.139932i −0.627069 0.778964i \(-0.715745\pi\)
0.394500 + 0.918896i \(0.370918\pi\)
\(272\) 283.444 5227.81i 0.0631849 1.16538i
\(273\) −954.690 + 321.673i −0.211650 + 0.0713132i
\(274\) 2263.09 + 4268.64i 0.498972 + 0.941161i
\(275\) 2548.86 + 3000.75i 0.558917 + 0.658008i
\(276\) −876.926 1293.37i −0.191249 0.282071i
\(277\) 438.296 + 8083.89i 0.0950709 + 1.75348i 0.525444 + 0.850828i \(0.323899\pi\)
−0.430373 + 0.902651i \(0.641618\pi\)
\(278\) 2702.34 + 6782.37i 0.583007 + 1.46324i
\(279\) 782.017 + 361.800i 0.167807 + 0.0776358i
\(280\) −6754.29 + 1486.73i −1.44159 + 0.317318i
\(281\) −852.615 + 1608.20i −0.181006 + 0.341414i −0.957367 0.288875i \(-0.906719\pi\)
0.776361 + 0.630289i \(0.217064\pi\)
\(282\) −938.556 + 5724.94i −0.198192 + 1.20892i
\(283\) 253.982 193.072i 0.0533486 0.0405545i −0.578160 0.815923i \(-0.696229\pi\)
0.631509 + 0.775369i \(0.282436\pi\)
\(284\) 12499.7 5782.97i 2.61169 1.20830i
\(285\) −6660.54 6309.19i −1.38434 1.31131i
\(286\) 696.950 + 4251.21i 0.144096 + 0.878948i
\(287\) −1311.26 441.813i −0.269690 0.0908690i
\(288\) −1419.27 + 3562.11i −0.290387 + 0.728816i
\(289\) 2929.10 2774.59i 0.596194 0.564745i
\(290\) 15153.6 + 11519.4i 3.06844 + 2.33257i
\(291\) −663.276 145.998i −0.133615 0.0294109i
\(292\) −2584.23 + 3042.39i −0.517912 + 0.609733i
\(293\) −3355.16 364.896i −0.668978 0.0727558i −0.232674 0.972555i \(-0.574747\pi\)
−0.436305 + 0.899799i \(0.643713\pi\)
\(294\) 5018.29 0.995484
\(295\) 5281.89 + 7873.70i 1.04245 + 1.55398i
\(296\) 16981.0 3.33447
\(297\) 337.965 + 36.7559i 0.0660293 + 0.00718112i
\(298\) 11574.2 13626.1i 2.24991 2.64880i
\(299\) 1642.35 + 361.507i 0.317656 + 0.0699215i
\(300\) −14951.2 11365.6i −2.87736 2.18732i
\(301\) 1370.00 1297.74i 0.262344 0.248506i
\(302\) −3077.27 + 7723.37i −0.586348 + 1.47162i
\(303\) 2553.57 + 860.399i 0.484155 + 0.163131i
\(304\) −4177.42 25481.1i −0.788130 4.80738i
\(305\) −13533.2 12819.3i −2.54069 2.40667i
\(306\) 1281.47 592.871i 0.239401 0.110759i
\(307\) −4089.80 + 3108.99i −0.760317 + 0.577978i −0.911874 0.410470i \(-0.865365\pi\)
0.151557 + 0.988449i \(0.451571\pi\)
\(308\) −211.875 + 1292.38i −0.0391970 + 0.239091i
\(309\) 31.7725 59.9293i 0.00584943 0.0110332i
\(310\) −10354.7 + 2279.25i −1.89713 + 0.417589i
\(311\) −8533.70 3948.11i −1.55595 0.719861i −0.561744 0.827311i \(-0.689869\pi\)
−0.994210 + 0.107450i \(0.965731\pi\)
\(312\) −4566.77 11461.7i −0.828662 2.07978i
\(313\) 96.6947 + 1783.43i 0.0174617 + 0.322062i 0.994194 + 0.107601i \(0.0343168\pi\)
−0.976733 + 0.214461i \(0.931200\pi\)
\(314\) −4165.29 6143.34i −0.748601 1.10410i
\(315\) −633.300 745.579i −0.113278 0.133361i
\(316\) 1803.32 + 3401.43i 0.321028 + 0.605523i
\(317\) −8037.55 + 2708.16i −1.42408 + 0.479829i −0.922741 0.385422i \(-0.874056\pi\)
−0.501340 + 0.865250i \(0.667159\pi\)
\(318\) −451.959 + 8335.90i −0.0797001 + 1.46998i
\(319\) 1854.38 1115.74i 0.325471 0.195830i
\(320\) −4713.05 16974.9i −0.823336 2.96539i
\(321\) 1022.37 3682.23i 0.177766 0.640255i
\(322\) 613.093 + 368.886i 0.106107 + 0.0638423i
\(323\) −2431.21 + 3585.77i −0.418812 + 0.617701i
\(324\) −1612.13 + 175.330i −0.276429 + 0.0300635i
\(325\) 20092.9 2185.24i 3.42940 0.372969i
\(326\) −1996.00 + 2943.88i −0.339105 + 0.500142i
\(327\) −1847.86 1111.82i −0.312498 0.188024i
\(328\) 4533.56 16328.4i 0.763183 2.74874i
\(329\) −507.762 1828.79i −0.0850876 0.306458i
\(330\) −3584.37 + 2156.65i −0.597919 + 0.359756i
\(331\) 352.858 6508.08i 0.0585946 1.08071i −0.810395 0.585884i \(-0.800748\pi\)
0.868990 0.494830i \(-0.164770\pi\)
\(332\) 11784.4 3970.62i 1.94805 0.656374i
\(333\) 1125.08 + 2122.12i 0.185146 + 0.349223i
\(334\) −7668.47 9028.02i −1.25629 1.47902i
\(335\) 1403.28 + 2069.68i 0.228864 + 0.337549i
\(336\) −149.059 2749.23i −0.0242019 0.446378i
\(337\) 82.6927 + 207.543i 0.0133666 + 0.0335478i 0.935509 0.353304i \(-0.114942\pi\)
−0.922142 + 0.386852i \(0.873563\pi\)
\(338\) 9516.14 + 4402.64i 1.53139 + 0.708496i
\(339\) −2264.91 + 498.545i −0.362871 + 0.0798739i
\(340\) −5814.70 + 10967.7i −0.927490 + 1.74943i
\(341\) −195.022 + 1189.58i −0.0309707 + 0.188913i
\(342\) 5543.83 4214.31i 0.876539 0.666327i
\(343\) −3107.36 + 1437.62i −0.489159 + 0.226309i
\(344\) 16778.5 + 15893.5i 2.62976 + 2.49104i
\(345\) 264.181 + 1611.43i 0.0412262 + 0.251469i
\(346\) −14290.0 4814.87i −2.22034 0.748119i
\(347\) 1647.94 4136.02i 0.254946 0.639865i −0.744675 0.667428i \(-0.767395\pi\)
0.999620 + 0.0275627i \(0.00877459\pi\)
\(348\) −7494.69 + 7099.35i −1.15448 + 1.09358i
\(349\) 1802.66 + 1370.35i 0.276488 + 0.210180i 0.734224 0.678908i \(-0.237546\pi\)
−0.457736 + 0.889088i \(0.651340\pi\)
\(350\) 8398.50 + 1848.65i 1.28262 + 0.282327i
\(351\) 1129.80 1330.10i 0.171807 0.202267i
\(352\) −5332.95 579.993i −0.807520 0.0878231i
\(353\) 2154.91 0.324913 0.162456 0.986716i \(-0.448058\pi\)
0.162456 + 0.986716i \(0.448058\pi\)
\(354\) −6546.43 + 2989.52i −0.982878 + 0.448845i
\(355\) −14392.4 −2.15174
\(356\) 16884.5 + 1836.30i 2.51370 + 0.273382i
\(357\) −299.054 + 352.073i −0.0443350 + 0.0521952i
\(358\) 1062.14 + 233.795i 0.156804 + 0.0345152i
\(359\) 9649.02 + 7335.00i 1.41854 + 1.07835i 0.984094 + 0.177649i \(0.0568491\pi\)
0.434447 + 0.900698i \(0.356944\pi\)
\(360\) 8697.86 8239.05i 1.27338 1.20621i
\(361\) −5369.82 + 13477.2i −0.782887 + 1.96490i
\(362\) −7173.74 2417.11i −1.04156 0.350941i
\(363\) −569.052 3471.06i −0.0822795 0.501883i
\(364\) 4880.85 + 4623.39i 0.702819 + 0.665745i
\(365\) 3785.87 1751.53i 0.542909 0.251176i
\(366\) 11264.2 8562.85i 1.60872 1.22292i
\(367\) −1844.50 + 11251.0i −0.262350 + 1.60026i 0.446421 + 0.894823i \(0.352699\pi\)
−0.708770 + 0.705439i \(0.750750\pi\)
\(368\) −2152.78 + 4060.57i −0.304949 + 0.575195i
\(369\) 2340.93 515.278i 0.330255 0.0726945i
\(370\) −26823.7 12410.0i −3.76892 1.74369i
\(371\) −1010.91 2537.20i −0.141466 0.355054i
\(372\) −311.309 5741.75i −0.0433887 0.800258i
\(373\) −2950.25 4351.30i −0.409540 0.604026i 0.565852 0.824507i \(-0.308548\pi\)
−0.975391 + 0.220481i \(0.929237\pi\)
\(374\) 1278.81 + 1505.54i 0.176807 + 0.208154i
\(375\) 5518.06 + 10408.2i 0.759871 + 1.43327i
\(376\) 22027.8 7422.05i 3.02127 1.01799i
\(377\) 601.468 11093.4i 0.0821676 1.51549i
\(378\) 636.247 382.817i 0.0865741 0.0520899i
\(379\) −1322.14 4761.91i −0.179192 0.645390i −0.997504 0.0706159i \(-0.977504\pi\)
0.818312 0.574775i \(-0.194910\pi\)
\(380\) −16379.2 + 58992.6i −2.21115 + 7.96384i
\(381\) 832.727 + 501.035i 0.111974 + 0.0673722i
\(382\) 1743.50 2571.47i 0.233521 0.344418i
\(383\) 4124.12 448.525i 0.550215 0.0598395i 0.171211 0.985234i \(-0.445232\pi\)
0.379004 + 0.925395i \(0.376267\pi\)
\(384\) 3128.59 340.254i 0.415768 0.0452175i
\(385\) 768.020 1132.75i 0.101667 0.149948i
\(386\) −1443.53 868.545i −0.190347 0.114528i
\(387\) −874.545 + 3149.83i −0.114872 + 0.413733i
\(388\) 1212.51 + 4367.08i 0.158650 + 0.571405i
\(389\) −9807.36 + 5900.89i −1.27829 + 0.769119i −0.982523 0.186143i \(-0.940401\pi\)
−0.295763 + 0.955261i \(0.595574\pi\)
\(390\) −1162.59 + 21442.7i −0.150949 + 2.78409i
\(391\) 730.736 246.214i 0.0945139 0.0318454i
\(392\) −9418.30 17764.8i −1.21351 2.28892i
\(393\) −1724.79 2030.58i −0.221385 0.260634i
\(394\) 499.166 + 736.214i 0.0638264 + 0.0941369i
\(395\) −217.808 4017.24i −0.0277446 0.511719i
\(396\) −839.725 2107.55i −0.106560 0.267446i
\(397\) 12173.5 + 5632.08i 1.53897 + 0.712005i 0.992128 0.125227i \(-0.0399661\pi\)
0.546846 + 0.837233i \(0.315828\pi\)
\(398\) 18623.3 4099.30i 2.34548 0.516280i
\(399\) −1067.16 + 2012.89i −0.133897 + 0.252557i
\(400\) −8936.40 + 54509.6i −1.11705 + 6.81370i
\(401\) −1758.82 + 1337.02i −0.219030 + 0.166502i −0.708936 0.705273i \(-0.750824\pi\)
0.489906 + 0.871776i \(0.337031\pi\)
\(402\) −1722.62 + 796.970i −0.213723 + 0.0988788i
\(403\) 4492.62 + 4255.63i 0.555318 + 0.526025i
\(404\) −2909.23 17745.5i −0.358266 2.18533i
\(405\) 1605.91 + 541.093i 0.197033 + 0.0663880i
\(406\) 1749.63 4391.24i 0.213874 0.536783i
\(407\) −2439.55 + 2310.86i −0.297111 + 0.281438i
\(408\) −4503.83 3423.72i −0.546502 0.415440i
\(409\) 159.485 + 35.1054i 0.0192813 + 0.00424413i 0.224601 0.974451i \(-0.427892\pi\)
−0.205319 + 0.978695i \(0.565823\pi\)
\(410\) −19094.4 + 22479.7i −2.30001 + 2.70778i
\(411\) 2722.13 + 296.050i 0.326698 + 0.0355306i
\(412\) −452.663 −0.0541289
\(413\) 1533.11 1786.94i 0.182662 0.212905i
\(414\) −1239.49 −0.147144
\(415\) −12918.8 1405.00i −1.52809 0.166190i
\(416\) −17827.8 + 20988.5i −2.10115 + 2.47367i
\(417\) 4040.99 + 889.489i 0.474552 + 0.104457i
\(418\) 7755.84 + 5895.84i 0.907537 + 0.689892i
\(419\) 4589.45 4347.36i 0.535106 0.506879i −0.371743 0.928336i \(-0.621240\pi\)
0.906849 + 0.421457i \(0.138481\pi\)
\(420\) −2416.34 + 6064.56i −0.280727 + 0.704572i
\(421\) −1664.20 560.733i −0.192656 0.0649132i 0.221320 0.975201i \(-0.428964\pi\)
−0.413975 + 0.910288i \(0.635860\pi\)
\(422\) −5058.04 30852.7i −0.583463 3.55897i
\(423\) 2386.98 + 2261.07i 0.274371 + 0.259898i
\(424\) 30357.4 14044.9i 3.47709 1.60868i
\(425\) 7377.90 5608.53i 0.842072 0.640127i
\(426\) 1767.40 10780.7i 0.201011 1.22611i
\(427\) −2168.32 + 4089.88i −0.245743 + 0.463521i
\(428\) −24906.4 + 5482.31i −2.81284 + 0.619153i
\(429\) 2215.84 + 1025.16i 0.249375 + 0.115373i
\(430\) −14888.7 37367.7i −1.66976 4.19077i
\(431\) −117.889 2174.33i −0.0131752 0.243002i −0.997701 0.0677642i \(-0.978413\pi\)
0.984526 0.175237i \(-0.0560693\pi\)
\(432\) 2676.59 + 3947.67i 0.298096 + 0.439659i
\(433\) −3250.06 3826.27i −0.360711 0.424662i 0.551633 0.834087i \(-0.314005\pi\)
−0.912344 + 0.409425i \(0.865729\pi\)
\(434\) 1233.30 + 2326.25i 0.136406 + 0.257290i
\(435\) 10223.2 3444.59i 1.12681 0.379668i
\(436\) −779.146 + 14370.5i −0.0855833 + 1.57849i
\(437\) 3258.67 1960.68i 0.356713 0.214627i
\(438\) 847.080 + 3050.91i 0.0924088 + 0.332826i
\(439\) 1326.40 4777.27i 0.144204 0.519378i −0.855793 0.517318i \(-0.826931\pi\)
0.999998 0.00205982i \(-0.000655662\pi\)
\(440\) 14361.7 + 8641.14i 1.55606 + 0.936251i
\(441\) 1596.06 2354.01i 0.172342 0.254185i
\(442\) 10081.0 1096.38i 1.08485 0.117985i
\(443\) −547.093 + 59.5000i −0.0586753 + 0.00638133i −0.137410 0.990514i \(-0.543878\pi\)
0.0787343 + 0.996896i \(0.474912\pi\)
\(444\) 8995.25 13267.0i 0.961476 1.41807i
\(445\) −15207.8 9150.24i −1.62004 0.974749i
\(446\) −642.613 + 2314.48i −0.0682256 + 0.245726i
\(447\) −2710.70 9763.04i −0.286827 1.03306i
\(448\) −3748.62 + 2255.47i −0.395326 + 0.237860i
\(449\) −23.8850 + 440.533i −0.00251047 + 0.0463029i −0.999520 0.0309729i \(-0.990139\pi\)
0.997010 + 0.0772758i \(0.0246222\pi\)
\(450\) −14117.2 + 4756.65i −1.47887 + 0.498291i
\(451\) 1570.75 + 2962.74i 0.163999 + 0.309335i
\(452\) 10019.3 + 11795.6i 1.04263 + 1.22748i
\(453\) 2644.20 + 3899.91i 0.274251 + 0.404489i
\(454\) 1017.26 + 18762.3i 0.105160 + 1.93955i
\(455\) −2600.41 6526.54i −0.267932 0.672459i
\(456\) −25323.4 11715.8i −2.60060 1.20317i
\(457\) 5833.50 1284.05i 0.597110 0.131434i 0.0938760 0.995584i \(-0.470074\pi\)
0.503234 + 0.864150i \(0.332143\pi\)
\(458\) 4160.87 7848.24i 0.424508 0.800708i
\(459\) 129.462 789.681i 0.0131650 0.0803031i
\(460\) 8675.29 6594.78i 0.879321 0.668442i
\(461\) 3716.45 1719.41i 0.375471 0.173711i −0.223072 0.974802i \(-0.571609\pi\)
0.598543 + 0.801090i \(0.295746\pi\)
\(462\) 754.171 + 714.389i 0.0759464 + 0.0719402i
\(463\) −896.978 5471.32i −0.0900348 0.549188i −0.992870 0.119201i \(-0.961967\pi\)
0.902835 0.429986i \(-0.141482\pi\)
\(464\) 28773.2 + 9694.83i 2.87880 + 0.969981i
\(465\) −2224.14 + 5582.17i −0.221811 + 0.556703i
\(466\) −23473.1 + 22234.9i −2.33342 + 2.21033i
\(467\) −4079.18 3100.91i −0.404201 0.307266i 0.383248 0.923646i \(-0.374806\pi\)
−0.787449 + 0.616380i \(0.788599\pi\)
\(468\) −11374.0 2503.60i −1.12342 0.247284i
\(469\) 402.005 473.277i 0.0395797 0.0465968i
\(470\) −40220.0 4374.18i −3.94725 0.429290i
\(471\) −4206.51 −0.411520
\(472\) 22869.2 + 17563.7i 2.23017 + 1.71279i
\(473\) −4573.31 −0.444569
\(474\) 3035.87 + 330.170i 0.294181 + 0.0319942i
\(475\) 29590.6 34836.7i 2.85833 3.36509i
\(476\) 3010.65 + 662.694i 0.289901 + 0.0638120i
\(477\) 3766.51 + 2863.23i 0.361544 + 0.274839i
\(478\) 26159.7 24779.8i 2.50317 2.37113i
\(479\) −2265.34 + 5685.58i −0.216088 + 0.542340i −0.996562 0.0828482i \(-0.973598\pi\)
0.780474 + 0.625188i \(0.214978\pi\)
\(480\) −25340.6 8538.23i −2.40965 0.811907i
\(481\) 2790.74 + 17022.7i 0.264546 + 1.61366i
\(482\) 22402.3 + 21220.6i 2.11701 + 2.00534i
\(483\) 368.032 170.270i 0.0346709 0.0160405i
\(484\) −18686.7 + 14205.3i −1.75495 + 1.33408i
\(485\) 766.238 4673.85i 0.0717383 0.437584i
\(486\) −602.514 + 1136.46i −0.0562358 + 0.106072i
\(487\) −8355.63 + 1839.21i −0.777474 + 0.171135i −0.585944 0.810352i \(-0.699276\pi\)
−0.191530 + 0.981487i \(0.561345\pi\)
\(488\) −51453.3 23804.8i −4.77291 2.20819i
\(489\) 746.108 + 1872.59i 0.0689983 + 0.173173i
\(490\) 1894.65 + 34944.8i 0.174677 + 3.22173i
\(491\) −7845.88 11571.8i −0.721140 1.06360i −0.994807 0.101778i \(-0.967547\pi\)
0.273667 0.961824i \(-0.411763\pi\)
\(492\) −10355.6 12191.5i −0.948914 1.11715i
\(493\) −2386.17 4500.79i −0.217987 0.411167i
\(494\) 47394.4 15969.0i 4.31655 1.45442i
\(495\) −128.351 + 2367.30i −0.0116544 + 0.214954i
\(496\) −14491.4 + 8719.18i −1.31186 + 0.789320i
\(497\) 956.168 + 3443.81i 0.0862978 + 0.310817i
\(498\) 2638.85 9504.28i 0.237449 0.855215i
\(499\) 2417.16 + 1454.36i 0.216848 + 0.130473i 0.619834 0.784733i \(-0.287200\pi\)
−0.402986 + 0.915206i \(0.632028\pi\)
\(500\) 44118.2 65069.5i 3.94605 5.81999i
\(501\) −6673.86 + 725.826i −0.595142 + 0.0647256i
\(502\) −13138.2 + 1428.86i −1.16810 + 0.127038i
\(503\) −11500.5 + 16962.0i −1.01945 + 1.50357i −0.163481 + 0.986547i \(0.552272\pi\)
−0.855968 + 0.517028i \(0.827038\pi\)
\(504\) −2549.29 1533.85i −0.225306 0.135562i
\(505\) −5027.29 + 18106.6i −0.442993 + 1.59552i
\(506\) −463.908 1670.84i −0.0407573 0.146795i
\(507\) 5091.80 3063.64i 0.446026 0.268365i
\(508\) 351.117 6475.98i 0.0306660 0.565600i
\(509\) 2452.71 826.413i 0.213584 0.0719649i −0.210476 0.977599i \(-0.567501\pi\)
0.424060 + 0.905634i \(0.360605\pi\)
\(510\) 4612.27 + 8699.67i 0.400461 + 0.755349i
\(511\) −670.623 789.518i −0.0580560 0.0683488i
\(512\) 8225.74 + 12132.1i 0.710019 + 1.04720i
\(513\) −213.669 3940.89i −0.0183893 0.339171i
\(514\) 104.873 + 263.212i 0.00899955 + 0.0225872i
\(515\) 429.313 + 198.621i 0.0367336 + 0.0169948i
\(516\) 21305.3 4689.64i 1.81766 0.400097i
\(517\) −2154.56 + 4063.93i −0.183283 + 0.345709i
\(518\) −1187.40 + 7242.84i −0.100717 + 0.614348i
\(519\) −6803.51 + 5171.89i −0.575416 + 0.437420i
\(520\) 78089.5 36128.1i 6.58549 3.04677i
\(521\) −14586.7 13817.3i −1.22659 1.16189i −0.981309 0.192441i \(-0.938360\pi\)
−0.245285 0.969451i \(-0.578882\pi\)
\(522\) 1324.76 + 8080.69i 0.111079 + 0.677552i
\(523\) 16259.6 + 5478.50i 1.35943 + 0.458046i 0.902206 0.431305i \(-0.141947\pi\)
0.457226 + 0.889351i \(0.348843\pi\)
\(524\) −6580.90 + 16516.8i −0.548641 + 1.37698i
\(525\) 3538.30 3351.66i 0.294141 0.278625i
\(526\) −8514.01 6472.18i −0.705757 0.536503i
\(527\) 2771.17 + 609.982i 0.229059 + 0.0504198i
\(528\) −4319.73 + 5085.58i −0.356045 + 0.419169i
\(529\) 11422.7 + 1242.30i 0.938829 + 0.102104i
\(530\) −58217.7 −4.77135
\(531\) −679.740 + 4021.65i −0.0555522 + 0.328672i
\(532\) 15203.9 1.23905
\(533\) 17113.6 + 1861.21i 1.39075 + 0.151254i
\(534\) 8721.54 10267.8i 0.706775 0.832080i
\(535\) 26027.2 + 5729.01i 2.10328 + 0.462966i
\(536\) 6054.30 + 4602.36i 0.487884 + 0.370880i
\(537\) 447.482 423.878i 0.0359595 0.0340627i
\(538\) −7130.67 + 17896.6i −0.571422 + 1.43416i
\(539\) 3770.58 + 1270.46i 0.301318 + 0.101526i
\(540\) −1829.57 11159.9i −0.145801 0.889344i
\(541\) 2439.71 + 2311.02i 0.193884 + 0.183657i 0.778483 0.627665i \(-0.215989\pi\)
−0.584599 + 0.811323i \(0.698748\pi\)
\(542\) 5817.22 2691.33i 0.461016 0.213289i
\(543\) −3415.43 + 2596.34i −0.269926 + 0.205193i
\(544\) −2042.85 + 12460.8i −0.161005 + 0.982085i
\(545\) 7044.51 13287.3i 0.553676 1.04434i
\(546\) 5208.05 1146.38i 0.408212 0.0898543i
\(547\) −18875.4 8732.67i −1.47542 0.682600i −0.493124 0.869959i \(-0.664145\pi\)
−0.982291 + 0.187359i \(0.940007\pi\)
\(548\) −6763.55 16975.2i −0.527235 1.32326i
\(549\) −434.143 8007.30i −0.0337500 0.622483i
\(550\) −11695.7 17249.9i −0.906740 1.33734i
\(551\) −16265.2 19148.9i −1.25757 1.48053i
\(552\) 2326.27 + 4387.81i 0.179371 + 0.338329i
\(553\) −946.773 + 319.005i −0.0728045 + 0.0245307i
\(554\) 2320.08 42791.4i 0.177926 3.28165i
\(555\) −14352.6 + 8635.67i −1.09772 + 0.660475i
\(556\) −7387.21 26606.3i −0.563466 2.02942i
\(557\) −29.6042 + 106.625i −0.00225201 + 0.00811101i −0.964667 0.263470i \(-0.915133\pi\)
0.962415 + 0.271581i \(0.0875466\pi\)
\(558\) −3908.21 2351.49i −0.296501 0.178399i
\(559\) −13175.0 + 19431.7i −0.996860 + 1.47026i
\(560\) 19088.0 2075.95i 1.44039 0.156651i
\(561\) 1112.95 121.041i 0.0837590 0.00910935i
\(562\) 5407.19 7975.01i 0.405852 0.598587i
\(563\) −11981.1 7208.77i −0.896877 0.539633i −0.00912647 0.999958i \(-0.502905\pi\)
−0.887750 + 0.460326i \(0.847733\pi\)
\(564\) 5869.94 21141.6i 0.438243 1.57841i
\(565\) −4326.74 15583.5i −0.322172 1.16036i
\(566\) −1447.05 + 870.660i −0.107463 + 0.0646583i
\(567\) 22.7831 420.209i 0.00168748 0.0311237i
\(568\) −41480.7 + 13976.5i −3.06425 + 1.03246i
\(569\) 2715.66 + 5122.28i 0.200081 + 0.377394i 0.963167 0.268904i \(-0.0866614\pi\)
−0.763086 + 0.646297i \(0.776317\pi\)
\(570\) 31439.4 + 37013.4i 2.31027 + 2.71986i
\(571\) 10229.0 + 15086.7i 0.749688 + 1.10571i 0.990816 + 0.135214i \(0.0431721\pi\)
−0.241129 + 0.970493i \(0.577518\pi\)
\(572\) −882.093 16269.3i −0.0644793 1.18925i
\(573\) −651.723 1635.70i −0.0475151 0.119254i
\(574\) 6647.47 + 3075.45i 0.483380 + 0.223635i
\(575\) −7945.34 + 1748.90i −0.576249 + 0.126842i
\(576\) 3549.88 6695.78i 0.256791 0.484359i
\(577\) 550.901 3360.35i 0.0397475 0.242449i −0.959479 0.281781i \(-0.909075\pi\)
0.999226 + 0.0393322i \(0.0125231\pi\)
\(578\) −17002.0 + 12924.6i −1.22351 + 0.930090i
\(579\) −866.535 + 400.902i −0.0621968 + 0.0287753i
\(580\) −52265.9 49508.9i −3.74177 3.54439i
\(581\) 522.078 + 3184.54i 0.0372796 + 0.227396i
\(582\) 3406.86 + 1147.90i 0.242644 + 0.0817563i
\(583\) −2449.95 + 6148.92i −0.174042 + 0.436813i
\(584\) 9210.45 8724.61i 0.652622 0.618196i
\(585\) 9688.73 + 7365.18i 0.684751 + 0.520534i
\(586\) 17447.3 + 3840.45i 1.22994 + 0.270729i
\(587\) 7450.39 8771.28i 0.523868 0.616745i −0.435058 0.900403i \(-0.643272\pi\)
0.958926 + 0.283657i \(0.0915479\pi\)
\(588\) −18868.4 2052.06i −1.32333 0.143921i
\(589\) 13994.6 0.979008
\(590\) −23289.1 44457.4i −1.62508 3.10217i
\(591\) 504.106 0.0350866
\(592\) −46867.5 5097.14i −3.25379 0.353870i
\(593\) −5169.42 + 6085.91i −0.357981 + 0.421448i −0.911443 0.411427i \(-0.865031\pi\)
0.553462 + 0.832874i \(0.313306\pi\)
\(594\) −1757.47 386.847i −0.121397 0.0267215i
\(595\) −2564.57 1949.54i −0.176701 0.134325i
\(596\) −49090.0 + 46500.5i −3.37383 + 3.19587i
\(597\) 4000.18 10039.7i 0.274232 0.688271i
\(598\) −8435.76 2842.34i −0.576862 0.194368i
\(599\) −1630.48 9945.48i −0.111218 0.678399i −0.982307 0.187275i \(-0.940034\pi\)
0.871090 0.491124i \(-0.163414\pi\)
\(600\) 43333.8 + 41048.0i 2.94849 + 2.79296i
\(601\) −13392.9 + 6196.24i −0.909001 + 0.420549i −0.817945 0.575297i \(-0.804886\pi\)
−0.0910565 + 0.995846i \(0.529024\pi\)
\(602\) −7952.20 + 6045.11i −0.538385 + 0.409269i
\(603\) −174.030 + 1061.53i −0.0117530 + 0.0716898i
\(604\) 14728.6 27781.0i 0.992213 1.87151i
\(605\) 23955.9 5273.09i 1.60983 0.354350i
\(606\) −12945.5 5989.21i −0.867778 0.401477i
\(607\) −1437.10 3606.84i −0.0960956 0.241182i 0.873069 0.487597i \(-0.162127\pi\)
−0.969164 + 0.246415i \(0.920747\pi\)
\(608\) 3371.61 + 62185.6i 0.224896 + 4.14796i
\(609\) −1503.40 2217.35i −0.100034 0.147540i
\(610\) 63880.2 + 75205.6i 4.24006 + 4.99178i
\(611\) 11060.4 + 20862.2i 0.732335 + 1.38133i
\(612\) −5060.68 + 1705.14i −0.334258 + 0.112625i
\(613\) 1084.71 20006.4i 0.0714701 1.31819i −0.714374 0.699764i \(-0.753288\pi\)
0.785844 0.618425i \(-0.212229\pi\)
\(614\) 23301.5 14020.0i 1.53155 0.921502i
\(615\) 4471.95 + 16106.5i 0.293214 + 1.05606i
\(616\) 1113.52 4010.54i 0.0728329 0.262320i
\(617\) −14915.4 8974.27i −0.973208 0.585560i −0.0622508 0.998061i \(-0.519828\pi\)
−0.910957 + 0.412501i \(0.864655\pi\)
\(618\) −201.498 + 297.187i −0.0131156 + 0.0193440i
\(619\) −12912.6 + 1404.33i −0.838453 + 0.0911872i −0.517262 0.855827i \(-0.673049\pi\)
−0.321191 + 0.947014i \(0.604083\pi\)
\(620\) 39865.2 4335.60i 2.58230 0.280842i
\(621\) −394.217 + 581.427i −0.0254741 + 0.0375714i
\(622\) 42648.1 + 25660.5i 2.74925 + 1.65417i
\(623\) −1179.13 + 4246.82i −0.0758277 + 0.273107i
\(624\) 9163.80 + 33005.0i 0.587893 + 2.11740i
\(625\) −36902.0 + 22203.2i −2.36173 + 1.42100i
\(626\) 511.845 9440.43i 0.0326796 0.602740i
\(627\) 5232.39 1763.00i 0.333272 0.112292i
\(628\) 13149.1 + 24801.8i 0.835518 + 1.57596i
\(629\) 5120.65 + 6028.49i 0.324600 + 0.382149i
\(630\) 2905.96 + 4285.97i 0.183772 + 0.271043i
\(631\) −315.484 5818.75i −0.0199037 0.367101i −0.991470 0.130334i \(-0.958395\pi\)
0.971566 0.236767i \(-0.0760878\pi\)
\(632\) −4528.90 11366.7i −0.285047 0.715415i
\(633\) −16081.3 7439.98i −1.00975 0.467161i
\(634\) 43846.6 9651.37i 2.74664 0.604582i
\(635\) −3174.56 + 5987.86i −0.198392 + 0.374206i
\(636\) 5108.03 31157.6i 0.318470 1.94258i
\(637\) 16260.6 12361.0i 1.01141 0.768853i
\(638\) −10397.0 + 4810.18i −0.645176 + 0.298490i
\(639\) −4494.93 4257.83i −0.278274 0.263595i
\(640\) 3550.56 + 21657.5i 0.219294 + 1.33763i
\(641\) −14410.9 4855.59i −0.887980 0.299195i −0.161901 0.986807i \(-0.551763\pi\)
−0.726079 + 0.687612i \(0.758659\pi\)
\(642\) −7487.49 + 18792.2i −0.460292 + 1.15525i
\(643\) 3035.46 2875.34i 0.186169 0.176349i −0.588939 0.808178i \(-0.700454\pi\)
0.775108 + 0.631829i \(0.217695\pi\)
\(644\) −2154.35 1637.69i −0.131822 0.100208i
\(645\) −22264.0 4900.68i −1.35914 0.299169i
\(646\) 14846.2 17478.3i 0.904202 1.06451i
\(647\) 8083.76 + 879.162i 0.491198 + 0.0534210i 0.350367 0.936613i \(-0.386057\pi\)
0.140831 + 0.990034i \(0.455022\pi\)
\(648\) 5153.89 0.312444
\(649\) −5675.63 + 588.898i −0.343279 + 0.0356183i
\(650\) −106987. −6.45598
\(651\) 1483.46 + 161.336i 0.0893111 + 0.00971316i
\(652\) 8708.63 10252.6i 0.523092 0.615832i
\(653\) 25295.8 + 5568.03i 1.51593 + 0.333681i 0.893525 0.449014i \(-0.148225\pi\)
0.622405 + 0.782695i \(0.286156\pi\)
\(654\) 9087.84 + 6908.40i 0.543368 + 0.413058i
\(655\) 13488.7 12777.2i 0.804655 0.762210i
\(656\) −17413.8 + 43705.4i −1.03643 + 2.60123i
\(657\) 1700.55 + 572.982i 0.100981 + 0.0340246i
\(658\) 1625.39 + 9914.42i 0.0962981 + 0.587393i
\(659\) −11870.3 11244.2i −0.701673 0.664660i 0.251233 0.967927i \(-0.419164\pi\)
−0.952906 + 0.303267i \(0.901923\pi\)
\(660\) 14358.9 6643.13i 0.846847 0.391793i
\(661\) −23066.5 + 17534.7i −1.35731 + 1.03180i −0.362295 + 0.932064i \(0.618007\pi\)
−0.995014 + 0.0997354i \(0.968200\pi\)
\(662\) −5581.57 + 34046.1i −0.327695 + 1.99885i
\(663\) 2691.95 5077.56i 0.157687 0.297430i
\(664\) −38597.9 + 8496.04i −2.25586 + 0.496551i
\(665\) −14419.6 6671.23i −0.840857 0.389022i
\(666\) −4706.05 11811.3i −0.273808 0.687205i
\(667\) 242.105 + 4465.36i 0.0140545 + 0.259219i
\(668\) 25141.2 + 37080.5i 1.45620 + 2.14774i
\(669\) 881.310 + 1037.56i 0.0509319 + 0.0599616i
\(670\) −6200.08 11694.6i −0.357507 0.674330i
\(671\) 10631.4 3582.14i 0.611657 0.206091i
\(672\) −359.507 + 6630.73i −0.0206374 + 0.380634i
\(673\) 2518.04 1515.06i 0.144225 0.0867773i −0.441612 0.897206i \(-0.645593\pi\)
0.585837 + 0.810429i \(0.300766\pi\)
\(674\) −316.380 1139.50i −0.0180809 0.0651214i
\(675\) −2258.68 + 8135.05i −0.128795 + 0.463879i
\(676\) −33979.7 20444.9i −1.93330 1.16323i
\(677\) 333.538 491.932i 0.0189349 0.0279269i −0.818104 0.575071i \(-0.804975\pi\)
0.837039 + 0.547144i \(0.184285\pi\)
\(678\) 12204.2 1327.28i 0.691296 0.0751829i
\(679\) −1169.26 + 127.165i −0.0660856 + 0.00718725i
\(680\) 22140.7 32655.0i 1.24861 1.84156i
\(681\) 9124.66 + 5490.13i 0.513447 + 0.308931i
\(682\) 1707.10 6148.41i 0.0958477 0.345212i
\(683\) 4267.55 + 15370.3i 0.239082 + 0.861096i 0.981549 + 0.191213i \(0.0612420\pi\)
−0.742467 + 0.669883i \(0.766344\pi\)
\(684\) −22567.8 + 13578.6i −1.26155 + 0.759049i
\(685\) −1033.80 + 19067.3i −0.0576635 + 1.06354i
\(686\) 17174.9 5786.89i 0.955889 0.322077i
\(687\) −2358.14 4447.92i −0.130959 0.247014i
\(688\) −41537.8 48902.1i −2.30177 2.70985i
\(689\) 19068.4 + 28123.8i 1.05435 + 1.55505i
\(690\) −467.969 8631.19i −0.0258193 0.476208i
\(691\) −2184.55 5482.81i −0.120267 0.301847i 0.856502 0.516144i \(-0.172633\pi\)
−0.976768 + 0.214297i \(0.931254\pi\)
\(692\) 51760.7 + 23947.1i 2.84342 + 1.31551i
\(693\) 574.973 126.561i 0.0315172 0.00693746i
\(694\) −11039.2 + 20822.2i −0.603809 + 1.13890i
\(695\) −4668.28 + 28475.3i −0.254789 + 1.55414i
\(696\) 26119.4 19855.5i 1.42249 1.08135i
\(697\) 7163.90 3314.37i 0.389314 0.180116i
\(698\) −8702.02 8242.99i −0.471886 0.446994i
\(699\) 2964.51 + 18082.7i 0.160412 + 0.978469i
\(700\) −30821.8 10385.1i −1.66422 0.560742i
\(701\) −11662.3 + 29270.1i −0.628358 + 1.57706i 0.176962 + 0.984218i \(0.443373\pi\)
−0.805320 + 0.592841i \(0.798006\pi\)
\(702\) −6706.68 + 6352.91i −0.360580 + 0.341560i
\(703\) 31056.0 + 23608.2i 1.66615 + 1.26657i
\(704\) 10354.6 + 2279.22i 0.554337 + 0.122019i
\(705\) −14843.8 + 17475.4i −0.792976 + 0.933563i
\(706\) −11340.0 1233.30i −0.604512 0.0657446i
\(707\) 4666.54 0.248237
\(708\) 25836.6 8563.43i 1.37147 0.454567i
\(709\) −25834.9 −1.36848 −0.684238 0.729259i \(-0.739865\pi\)
−0.684238 + 0.729259i \(0.739865\pi\)
\(710\) 75738.3 + 8237.04i 4.00339 + 0.435395i
\(711\) 1120.43 1319.07i 0.0590990 0.0695768i
\(712\) −52716.7 11603.8i −2.77478 0.610775i
\(713\) −1982.98 1507.43i −0.104156 0.0791775i
\(714\) 1775.23 1681.59i 0.0930483 0.0881400i
\(715\) −6302.10 + 15817.1i −0.329630 + 0.827308i
\(716\) −3897.98 1313.38i −0.203456 0.0685522i
\(717\) −3303.80 20152.3i −0.172082 1.04965i
\(718\) −46578.9 44121.9i −2.42105 2.29334i
\(719\) −20598.7 + 9529.97i −1.06843 + 0.494308i −0.873658 0.486540i \(-0.838259\pi\)
−0.194772 + 0.980849i \(0.562397\pi\)
\(720\) −26479.1 + 20128.9i −1.37058 + 1.04189i
\(721\) 19.0044 115.921i 0.000981635 0.00598771i
\(722\) 35971.3 67849.2i 1.85418 3.49735i
\(723\) 17079.3 3759.44i 0.878543 0.193382i
\(724\) 25984.4 + 12021.7i 1.33384 + 0.617101i
\(725\) 19893.7 + 49929.3i 1.01908 + 2.55770i
\(726\) 1008.02 + 18591.7i 0.0515302 + 0.950419i
\(727\) −9553.47 14090.3i −0.487371 0.718818i 0.501898 0.864927i \(-0.332635\pi\)
−0.989269 + 0.146109i \(0.953325\pi\)
\(728\) −13832.6 16285.0i −0.704219 0.829071i
\(729\) 341.470 + 644.080i 0.0173485 + 0.0327227i
\(730\) −20925.2 + 7050.51i −1.06092 + 0.357467i
\(731\) −582.809 + 10749.3i −0.0294883 + 0.543880i
\(732\) −45854.3 + 27589.6i −2.31533 + 1.39309i
\(733\) 7687.45 + 27687.7i 0.387370 + 1.39518i 0.858363 + 0.513044i \(0.171482\pi\)
−0.470992 + 0.882137i \(0.656104\pi\)
\(734\) 16145.6 58151.4i 0.811916 2.92426i
\(735\) 16994.7 + 10225.4i 0.852870 + 0.513155i
\(736\) 6220.59 9174.68i 0.311541 0.459488i
\(737\) −1496.09 + 162.710i −0.0747751 + 0.00813228i
\(738\) −12613.8 + 1371.83i −0.629160 + 0.0684252i
\(739\) −18256.8 + 26926.8i −0.908780 + 1.34035i 0.0313414 + 0.999509i \(0.490022\pi\)
−0.940121 + 0.340841i \(0.889288\pi\)
\(740\) 95780.9 + 57629.4i 4.75807 + 2.86284i
\(741\) 7582.86 27311.0i 0.375929 1.35397i
\(742\) 3867.73 + 13930.3i 0.191360 + 0.689215i
\(743\) −86.3451 + 51.9521i −0.00426339 + 0.00256519i −0.517684 0.855572i \(-0.673206\pi\)
0.513421 + 0.858137i \(0.328378\pi\)
\(744\) −989.400 + 18248.4i −0.0487542 + 0.899219i
\(745\) 66961.5 22562.0i 3.29299 1.10954i
\(746\) 13035.0 + 24586.7i 0.639741 + 1.20668i
\(747\) −3619.04 4260.67i −0.177261 0.208688i
\(748\) −4192.62 6183.65i −0.204943 0.302268i
\(749\) −358.296 6608.38i −0.0174791 0.322383i
\(750\) −23081.4 57929.9i −1.12375 2.82040i
\(751\) −24024.8 11115.0i −1.16735 0.540072i −0.262134 0.965032i \(-0.584426\pi\)
−0.905212 + 0.424960i \(0.860288\pi\)
\(752\) −63024.4 + 13872.7i −3.05620 + 0.672721i
\(753\) −3508.31 + 6617.37i −0.169787 + 0.320253i
\(754\) −9514.14 + 58033.7i −0.459528 + 2.80300i
\(755\) −26158.7 + 19885.3i −1.26094 + 0.958544i
\(756\) −2548.79 + 1179.20i −0.122617 + 0.0567287i
\(757\) −12305.1 11656.0i −0.590802 0.559637i 0.332796 0.942999i \(-0.392008\pi\)
−0.923598 + 0.383361i \(0.874766\pi\)
\(758\) 4232.27 + 25815.7i 0.202801 + 1.23703i
\(759\) −931.314 313.796i −0.0445383 0.0150067i
\(760\) 72022.4 180763.i 3.43754 8.62757i
\(761\) −4375.14 + 4144.35i −0.208408 + 0.197415i −0.784783 0.619771i \(-0.787226\pi\)
0.576375 + 0.817186i \(0.304467\pi\)
\(762\) −4095.38 3113.23i −0.194698 0.148006i
\(763\) −3647.40 802.853i −0.173060 0.0380934i
\(764\) −7606.96 + 8955.61i −0.360223 + 0.424087i
\(765\) 5547.82 + 603.362i 0.262198 + 0.0285158i
\(766\) −21959.4 −1.03580
\(767\) −13848.4 + 25811.9i −0.651940 + 1.21514i
\(768\) 3551.00 0.166844
\(769\) 192.297 + 20.9135i 0.00901741 + 0.000980703i 0.112627 0.993637i \(-0.464074\pi\)
−0.103609 + 0.994618i \(0.533039\pi\)
\(770\) −4689.91 + 5521.39i −0.219497 + 0.258412i
\(771\) 156.824 + 34.5196i 0.00732540