Properties

Label 690.2.q.a.11.6
Level $690$
Weight $2$
Character 690.11
Analytic conductor $5.510$
Analytic rank $0$
Dimension $160$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.q (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(160\)
Relative dimension: \(16\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 11.6
Character \(\chi\) \(=\) 690.11
Dual form 690.2.q.a.251.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.540641 - 0.841254i) q^{2} +(1.20125 + 1.24780i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(-0.959493 + 0.281733i) q^{5} +(0.400274 - 1.68516i) q^{6} +(-1.03609 + 0.897775i) q^{7} +(0.989821 - 0.142315i) q^{8} +(-0.114014 + 2.99783i) q^{9} +O(q^{10})\) \(q+(-0.540641 - 0.841254i) q^{2} +(1.20125 + 1.24780i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(-0.959493 + 0.281733i) q^{5} +(0.400274 - 1.68516i) q^{6} +(-1.03609 + 0.897775i) q^{7} +(0.989821 - 0.142315i) q^{8} +(-0.114014 + 2.99783i) q^{9} +(0.755750 + 0.654861i) q^{10} +(0.339703 + 0.218314i) q^{11} +(-1.63406 + 0.574337i) q^{12} +(-4.17553 + 4.81882i) q^{13} +(1.31541 + 0.386239i) q^{14} +(-1.50413 - 0.858826i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(-2.37786 - 5.20678i) q^{17} +(2.58358 - 1.52484i) q^{18} +(-7.48553 - 3.41853i) q^{19} +(0.142315 - 0.989821i) q^{20} +(-2.36484 - 0.214382i) q^{21} -0.403806i q^{22} +(2.16418 + 4.27976i) q^{23} +(1.36660 + 1.06414i) q^{24} +(0.841254 - 0.540641i) q^{25} +(6.31131 + 0.907429i) q^{26} +(-3.87766 + 3.45887i) q^{27} +(-0.386239 - 1.31541i) q^{28} +(3.60769 - 1.64758i) q^{29} +(0.0907058 + 1.72967i) q^{30} +(0.0831939 + 0.578626i) q^{31} +(-0.281733 + 0.959493i) q^{32} +(0.135655 + 0.686131i) q^{33} +(-3.09466 + 4.81538i) q^{34} +(0.741187 - 1.15331i) q^{35} +(-2.67956 - 1.34906i) q^{36} +(0.143089 - 0.487316i) q^{37} +(1.17114 + 8.14542i) q^{38} +(-11.0288 + 0.578359i) q^{39} +(-0.909632 + 0.415415i) q^{40} +(1.20245 + 4.09517i) q^{41} +(1.09818 + 2.10534i) q^{42} +(-1.84231 - 0.264885i) q^{43} +(-0.339703 + 0.218314i) q^{44} +(-0.735192 - 2.90852i) q^{45} +(2.43032 - 4.13444i) q^{46} +9.15703i q^{47} +(0.156376 - 1.72498i) q^{48} +(-0.728726 + 5.06840i) q^{49} +(-0.909632 - 0.415415i) q^{50} +(3.64063 - 9.22172i) q^{51} +(-2.64877 - 5.80000i) q^{52} +(-2.93753 - 3.39009i) q^{53} +(5.00621 + 1.39209i) q^{54} +(-0.387449 - 0.113765i) q^{55} +(-0.897775 + 1.03609i) q^{56} +(-4.72633 - 13.4469i) q^{57} +(-3.33649 - 2.14423i) q^{58} +(-0.376830 - 0.326525i) q^{59} +(1.40606 - 1.01144i) q^{60} +(-5.55432 + 0.798591i) q^{61} +(0.441794 - 0.382816i) q^{62} +(-2.57325 - 3.20838i) q^{63} +(0.959493 - 0.281733i) q^{64} +(2.64877 - 5.80000i) q^{65} +(0.503869 - 0.485070i) q^{66} +(1.46086 + 2.27314i) q^{67} +5.72405 q^{68} +(-2.74057 + 7.84151i) q^{69} -1.37094 q^{70} +(-2.81276 - 4.37673i) q^{71} +(0.313783 + 2.98354i) q^{72} +(-4.54208 + 9.94576i) q^{73} +(-0.487316 + 0.143089i) q^{74} +(1.68516 + 0.400274i) q^{75} +(6.21920 - 5.38897i) q^{76} +(-0.547959 + 0.0787847i) q^{77} +(6.44915 + 8.96530i) q^{78} +(8.40212 + 7.28048i) q^{79} +(0.841254 + 0.540641i) q^{80} +(-8.97400 - 0.683588i) q^{81} +(2.79499 - 3.22559i) q^{82} +(10.4602 + 3.07139i) q^{83} +(1.17740 - 2.06208i) q^{84} +(3.74846 + 4.32595i) q^{85} +(0.773195 + 1.69306i) q^{86} +(6.38957 + 2.52253i) q^{87} +(0.367315 + 0.167747i) q^{88} +(-0.413934 + 2.87897i) q^{89} +(-2.04933 + 2.19095i) q^{90} -8.74141i q^{91} +(-4.79204 + 0.190732i) q^{92} +(-0.622074 + 0.798882i) q^{93} +(7.70338 - 4.95066i) q^{94} +(8.14542 + 1.17114i) q^{95} +(-1.53569 + 0.801041i) q^{96} +(5.21815 + 17.7714i) q^{97} +(4.65779 - 2.12714i) q^{98} +(-0.693199 + 0.993482i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 160q + 16q^{4} - 16q^{5} - 2q^{6} + 42q^{9} + O(q^{10}) \) \( 160q + 16q^{4} - 16q^{5} - 2q^{6} + 42q^{9} - 12q^{11} - 12q^{14} - 16q^{16} - 8q^{18} + 16q^{20} + 62q^{21} + 4q^{23} + 2q^{24} - 16q^{25} + 42q^{27} - 2q^{30} - 4q^{31} + 16q^{33} + 2q^{36} + 72q^{38} - 124q^{39} + 44q^{41} + 44q^{43} + 12q^{44} - 2q^{45} + 4q^{46} + 70q^{49} - 2q^{51} - 52q^{53} + 92q^{54} + 10q^{55} - 54q^{56} - 38q^{57} - 36q^{58} - 44q^{61} - 220q^{63} + 16q^{64} - 34q^{66} - 44q^{67} + 22q^{69} - 12q^{70} - 36q^{72} - 28q^{73} - 24q^{74} - 88q^{77} - 54q^{78} - 44q^{79} - 16q^{80} - 66q^{81} - 28q^{82} + 4q^{83} - 18q^{84} + 158q^{86} - 64q^{87} + 80q^{89} - 8q^{90} - 4q^{92} + 4q^{93} + 24q^{94} - 2q^{96} - 88q^{98} + 190q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{9}{22}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.540641 0.841254i −0.382291 0.594856i
\(3\) 1.20125 + 1.24780i 0.693540 + 0.720418i
\(4\) −0.415415 + 0.909632i −0.207708 + 0.454816i
\(5\) −0.959493 + 0.281733i −0.429098 + 0.125995i
\(6\) 0.400274 1.68516i 0.163411 0.687966i
\(7\) −1.03609 + 0.897775i −0.391605 + 0.339327i −0.828303 0.560281i \(-0.810693\pi\)
0.436698 + 0.899608i \(0.356148\pi\)
\(8\) 0.989821 0.142315i 0.349955 0.0503159i
\(9\) −0.114014 + 2.99783i −0.0380046 + 0.999278i
\(10\) 0.755750 + 0.654861i 0.238989 + 0.207085i
\(11\) 0.339703 + 0.218314i 0.102424 + 0.0658241i 0.590850 0.806781i \(-0.298792\pi\)
−0.488426 + 0.872605i \(0.662429\pi\)
\(12\) −1.63406 + 0.574337i −0.471711 + 0.165797i
\(13\) −4.17553 + 4.81882i −1.15808 + 1.33650i −0.226055 + 0.974115i \(0.572583\pi\)
−0.932028 + 0.362385i \(0.881963\pi\)
\(14\) 1.31541 + 0.386239i 0.351558 + 0.103227i
\(15\) −1.50413 0.858826i −0.388366 0.221748i
\(16\) −0.654861 0.755750i −0.163715 0.188937i
\(17\) −2.37786 5.20678i −0.576715 1.26283i −0.943144 0.332384i \(-0.892147\pi\)
0.366429 0.930446i \(-0.380580\pi\)
\(18\) 2.58358 1.52484i 0.608955 0.359407i
\(19\) −7.48553 3.41853i −1.71730 0.784264i −0.995770 0.0918787i \(-0.970713\pi\)
−0.721528 0.692385i \(-0.756560\pi\)
\(20\) 0.142315 0.989821i 0.0318226 0.221331i
\(21\) −2.36484 0.214382i −0.516051 0.0467820i
\(22\) 0.403806i 0.0860917i
\(23\) 2.16418 + 4.27976i 0.451263 + 0.892391i
\(24\) 1.36660 + 1.06414i 0.278956 + 0.217218i
\(25\) 0.841254 0.540641i 0.168251 0.108128i
\(26\) 6.31131 + 0.907429i 1.23775 + 0.177962i
\(27\) −3.87766 + 3.45887i −0.746255 + 0.665660i
\(28\) −0.386239 1.31541i −0.0729923 0.248589i
\(29\) 3.60769 1.64758i 0.669931 0.305947i −0.0512583 0.998685i \(-0.516323\pi\)
0.721189 + 0.692738i \(0.243596\pi\)
\(30\) 0.0907058 + 1.72967i 0.0165605 + 0.315794i
\(31\) 0.0831939 + 0.578626i 0.0149421 + 0.103924i 0.995928 0.0901564i \(-0.0287367\pi\)
−0.980986 + 0.194081i \(0.937828\pi\)
\(32\) −0.281733 + 0.959493i −0.0498038 + 0.169616i
\(33\) 0.135655 + 0.686131i 0.0236145 + 0.119440i
\(34\) −3.09466 + 4.81538i −0.530729 + 0.825830i
\(35\) 0.741187 1.15331i 0.125283 0.194945i
\(36\) −2.67956 1.34906i −0.446594 0.224843i
\(37\) 0.143089 0.487316i 0.0235236 0.0801142i −0.946895 0.321544i \(-0.895798\pi\)
0.970418 + 0.241430i \(0.0776164\pi\)
\(38\) 1.17114 + 8.14542i 0.189983 + 1.32136i
\(39\) −11.0288 + 0.578359i −1.76602 + 0.0926116i
\(40\) −0.909632 + 0.415415i −0.143825 + 0.0656829i
\(41\) 1.20245 + 4.09517i 0.187791 + 0.639559i 0.998533 + 0.0541541i \(0.0172462\pi\)
−0.810741 + 0.585405i \(0.800936\pi\)
\(42\) 1.09818 + 2.10534i 0.169453 + 0.324860i
\(43\) −1.84231 0.264885i −0.280950 0.0403945i 0.000399236 1.00000i \(-0.499873\pi\)
−0.281349 + 0.959605i \(0.590782\pi\)
\(44\) −0.339703 + 0.218314i −0.0512122 + 0.0329121i
\(45\) −0.735192 2.90852i −0.109596 0.433577i
\(46\) 2.43032 4.13444i 0.358331 0.609589i
\(47\) 9.15703i 1.33569i 0.744300 + 0.667845i \(0.232783\pi\)
−0.744300 + 0.667845i \(0.767217\pi\)
\(48\) 0.156376 1.72498i 0.0225709 0.248979i
\(49\) −0.728726 + 5.06840i −0.104104 + 0.724057i
\(50\) −0.909632 0.415415i −0.128641 0.0587486i
\(51\) 3.64063 9.22172i 0.509790 1.29130i
\(52\) −2.64877 5.80000i −0.367319 0.804316i
\(53\) −2.93753 3.39009i −0.403501 0.465665i 0.517239 0.855841i \(-0.326960\pi\)
−0.920740 + 0.390176i \(0.872414\pi\)
\(54\) 5.00621 + 1.39209i 0.681258 + 0.189439i
\(55\) −0.387449 0.113765i −0.0522436 0.0153401i
\(56\) −0.897775 + 1.03609i −0.119970 + 0.138453i
\(57\) −4.72633 13.4469i −0.626017 1.78109i
\(58\) −3.33649 2.14423i −0.438103 0.281552i
\(59\) −0.376830 0.326525i −0.0490591 0.0425099i 0.629986 0.776606i \(-0.283061\pi\)
−0.679045 + 0.734096i \(0.737606\pi\)
\(60\) 1.40606 1.01144i 0.181521 0.130576i
\(61\) −5.55432 + 0.798591i −0.711158 + 0.102249i −0.488394 0.872623i \(-0.662417\pi\)
−0.222764 + 0.974872i \(0.571508\pi\)
\(62\) 0.441794 0.382816i 0.0561078 0.0486177i
\(63\) −2.57325 3.20838i −0.324199 0.404218i
\(64\) 0.959493 0.281733i 0.119937 0.0352166i
\(65\) 2.64877 5.80000i 0.328540 0.719402i
\(66\) 0.503869 0.485070i 0.0620220 0.0597080i
\(67\) 1.46086 + 2.27314i 0.178472 + 0.277708i 0.918951 0.394371i \(-0.129038\pi\)
−0.740479 + 0.672080i \(0.765401\pi\)
\(68\) 5.72405 0.694143
\(69\) −2.74057 + 7.84151i −0.329926 + 0.944007i
\(70\) −1.37094 −0.163859
\(71\) −2.81276 4.37673i −0.333813 0.519423i 0.633255 0.773944i \(-0.281719\pi\)
−0.967067 + 0.254521i \(0.918082\pi\)
\(72\) 0.313783 + 2.98354i 0.0369797 + 0.351614i
\(73\) −4.54208 + 9.94576i −0.531610 + 1.16406i 0.433244 + 0.901277i \(0.357369\pi\)
−0.964854 + 0.262787i \(0.915358\pi\)
\(74\) −0.487316 + 0.143089i −0.0566493 + 0.0166337i
\(75\) 1.68516 + 0.400274i 0.194586 + 0.0462197i
\(76\) 6.21920 5.38897i 0.713391 0.618157i
\(77\) −0.547959 + 0.0787847i −0.0624458 + 0.00897834i
\(78\) 6.44915 + 8.96530i 0.730222 + 1.01512i
\(79\) 8.40212 + 7.28048i 0.945313 + 0.819118i 0.983640 0.180147i \(-0.0576574\pi\)
−0.0383271 + 0.999265i \(0.512203\pi\)
\(80\) 0.841254 + 0.540641i 0.0940550 + 0.0604455i
\(81\) −8.97400 0.683588i −0.997111 0.0759542i
\(82\) 2.79499 3.22559i 0.308655 0.356206i
\(83\) 10.4602 + 3.07139i 1.14815 + 0.337129i 0.799819 0.600241i \(-0.204929\pi\)
0.348336 + 0.937370i \(0.386747\pi\)
\(84\) 1.17740 2.06208i 0.128465 0.224991i
\(85\) 3.74846 + 4.32595i 0.406577 + 0.469215i
\(86\) 0.773195 + 1.69306i 0.0833757 + 0.182567i
\(87\) 6.38957 + 2.52253i 0.685034 + 0.270444i
\(88\) 0.367315 + 0.167747i 0.0391559 + 0.0178819i
\(89\) −0.413934 + 2.87897i −0.0438769 + 0.305171i 0.956051 + 0.293199i \(0.0947199\pi\)
−0.999928 + 0.0119716i \(0.996189\pi\)
\(90\) −2.04933 + 2.19095i −0.216018 + 0.230946i
\(91\) 8.74141i 0.916349i
\(92\) −4.79204 + 0.190732i −0.499604 + 0.0198852i
\(93\) −0.622074 + 0.798882i −0.0645061 + 0.0828403i
\(94\) 7.70338 4.95066i 0.794543 0.510622i
\(95\) 8.14542 + 1.17114i 0.835703 + 0.120156i
\(96\) −1.53569 + 0.801041i −0.156735 + 0.0817560i
\(97\) 5.21815 + 17.7714i 0.529822 + 1.80441i 0.591489 + 0.806313i \(0.298540\pi\)
−0.0616669 + 0.998097i \(0.519642\pi\)
\(98\) 4.65779 2.12714i 0.470508 0.214874i
\(99\) −0.693199 + 0.993482i −0.0696692 + 0.0998487i
\(100\) 0.142315 + 0.989821i 0.0142315 + 0.0989821i
\(101\) 3.61987 12.3282i 0.360191 1.22670i −0.557760 0.830003i \(-0.688339\pi\)
0.917950 0.396695i \(-0.129843\pi\)
\(102\) −9.72608 + 1.92294i −0.963025 + 0.190400i
\(103\) −0.0748719 + 0.116503i −0.00737734 + 0.0114794i −0.844923 0.534889i \(-0.820354\pi\)
0.837545 + 0.546368i \(0.183990\pi\)
\(104\) −3.44724 + 5.36401i −0.338030 + 0.525984i
\(105\) 2.32945 0.460555i 0.227331 0.0449456i
\(106\) −1.26378 + 4.30403i −0.122749 + 0.418044i
\(107\) −0.764728 5.31880i −0.0739291 0.514188i −0.992814 0.119664i \(-0.961818\pi\)
0.918885 0.394525i \(-0.129091\pi\)
\(108\) −1.53546 4.96411i −0.147750 0.477671i
\(109\) 8.11507 3.70603i 0.777283 0.354973i 0.0130511 0.999915i \(-0.495846\pi\)
0.764232 + 0.644942i \(0.223118\pi\)
\(110\) 0.113765 + 0.387449i 0.0108471 + 0.0369418i
\(111\) 0.779958 0.406840i 0.0740303 0.0386155i
\(112\) 1.35699 + 0.195105i 0.128223 + 0.0184357i
\(113\) 1.64447 1.05684i 0.154699 0.0994189i −0.461001 0.887399i \(-0.652510\pi\)
0.615700 + 0.787981i \(0.288873\pi\)
\(114\) −8.75704 + 11.2460i −0.820172 + 1.05328i
\(115\) −3.28226 3.49668i −0.306073 0.326067i
\(116\) 3.96610i 0.368243i
\(117\) −13.9699 13.0670i −1.29152 1.20804i
\(118\) −0.0709607 + 0.493542i −0.00653246 + 0.0454342i
\(119\) 7.13819 + 3.25990i 0.654357 + 0.298835i
\(120\) −1.61105 0.636024i −0.147068 0.0580608i
\(121\) −4.50183 9.85763i −0.409257 0.896148i
\(122\) 3.67471 + 4.24084i 0.332693 + 0.383948i
\(123\) −3.66552 + 6.41973i −0.330509 + 0.578848i
\(124\) −0.560897 0.164694i −0.0503701 0.0147900i
\(125\) −0.654861 + 0.755750i −0.0585725 + 0.0675963i
\(126\) −1.30785 + 3.89934i −0.116513 + 0.347381i
\(127\) 13.2936 + 8.54326i 1.17961 + 0.758091i 0.975315 0.220817i \(-0.0708725\pi\)
0.204298 + 0.978909i \(0.434509\pi\)
\(128\) −0.755750 0.654861i −0.0667995 0.0578821i
\(129\) −1.88255 2.61703i −0.165749 0.230417i
\(130\) −6.31131 + 0.907429i −0.553538 + 0.0795868i
\(131\) 10.5952 9.18077i 0.925704 0.802127i −0.0548259 0.998496i \(-0.517460\pi\)
0.980530 + 0.196369i \(0.0629149\pi\)
\(132\) −0.680480 0.161633i −0.0592281 0.0140683i
\(133\) 10.8247 3.17843i 0.938624 0.275605i
\(134\) 1.12249 2.45790i 0.0969682 0.212331i
\(135\) 2.74611 4.41122i 0.236347 0.379658i
\(136\) −3.09466 4.81538i −0.265365 0.412915i
\(137\) −18.5500 −1.58483 −0.792415 0.609982i \(-0.791177\pi\)
−0.792415 + 0.609982i \(0.791177\pi\)
\(138\) 8.07836 1.93393i 0.687676 0.164627i
\(139\) 12.7611 1.08238 0.541191 0.840899i \(-0.317973\pi\)
0.541191 + 0.840899i \(0.317973\pi\)
\(140\) 0.741187 + 1.15331i 0.0626417 + 0.0974724i
\(141\) −11.4262 + 10.9999i −0.962255 + 0.926355i
\(142\) −2.16125 + 4.73248i −0.181368 + 0.397141i
\(143\) −2.47046 + 0.725391i −0.206590 + 0.0606603i
\(144\) 2.34027 1.87700i 0.195023 0.156416i
\(145\) −2.99737 + 2.59724i −0.248918 + 0.215689i
\(146\) 10.8225 1.55605i 0.895680 0.128779i
\(147\) −7.19973 + 5.17909i −0.593824 + 0.427164i
\(148\) 0.383837 + 0.332596i 0.0315512 + 0.0273392i
\(149\) 2.03122 + 1.30539i 0.166404 + 0.106941i 0.621192 0.783658i \(-0.286649\pi\)
−0.454788 + 0.890600i \(0.650285\pi\)
\(150\) −0.574337 1.63406i −0.0468944 0.133420i
\(151\) 0.821694 0.948286i 0.0668685 0.0771704i −0.721330 0.692592i \(-0.756469\pi\)
0.788198 + 0.615421i \(0.211014\pi\)
\(152\) −7.89584 2.31843i −0.640438 0.188049i
\(153\) 15.8802 6.53477i 1.28384 0.528305i
\(154\) 0.362527 + 0.418378i 0.0292133 + 0.0337139i
\(155\) −0.242842 0.531750i −0.0195055 0.0427112i
\(156\) 4.05542 10.2724i 0.324694 0.822448i
\(157\) 18.4276 + 8.41562i 1.47068 + 0.671639i 0.979872 0.199626i \(-0.0639726\pi\)
0.490813 + 0.871265i \(0.336700\pi\)
\(158\) 1.58220 11.0044i 0.125873 0.875466i
\(159\) 0.701460 7.73779i 0.0556294 0.613647i
\(160\) 1.00000i 0.0790569i
\(161\) −6.08454 2.49126i −0.479529 0.196339i
\(162\) 4.27664 + 7.91899i 0.336005 + 0.622174i
\(163\) −11.9210 + 7.66117i −0.933726 + 0.600069i −0.916609 0.399784i \(-0.869085\pi\)
−0.0171170 + 0.999853i \(0.505449\pi\)
\(164\) −4.22462 0.607408i −0.329887 0.0474306i
\(165\) −0.323465 0.620119i −0.0251817 0.0482762i
\(166\) −3.07139 10.4602i −0.238386 0.811868i
\(167\) 11.7086 5.34714i 0.906040 0.413774i 0.0927876 0.995686i \(-0.470422\pi\)
0.813252 + 0.581911i \(0.197695\pi\)
\(168\) −2.37128 + 0.124352i −0.182948 + 0.00959399i
\(169\) −3.93587 27.3746i −0.302759 2.10574i
\(170\) 1.61265 5.49219i 0.123685 0.421231i
\(171\) 11.1016 22.0506i 0.848962 1.68625i
\(172\) 1.00627 1.56579i 0.0767276 0.119390i
\(173\) −10.1607 + 15.8104i −0.772504 + 1.20204i 0.202375 + 0.979308i \(0.435134\pi\)
−0.974880 + 0.222732i \(0.928502\pi\)
\(174\) −1.33237 6.73903i −0.101007 0.510885i
\(175\) −0.386239 + 1.31541i −0.0291969 + 0.0994355i
\(176\) −0.0574676 0.399696i −0.00433178 0.0301282i
\(177\) −0.0452275 0.862446i −0.00339951 0.0648254i
\(178\) 2.64574 1.20827i 0.198306 0.0905635i
\(179\) −5.48870 18.6928i −0.410244 1.39716i −0.862853 0.505455i \(-0.831325\pi\)
0.452609 0.891709i \(-0.350493\pi\)
\(180\) 2.95109 + 0.539489i 0.219962 + 0.0402112i
\(181\) 10.9455 + 1.57373i 0.813574 + 0.116974i 0.536528 0.843882i \(-0.319736\pi\)
0.277046 + 0.960857i \(0.410645\pi\)
\(182\) −7.35374 + 4.72596i −0.545096 + 0.350312i
\(183\) −7.66859 5.97138i −0.566879 0.441417i
\(184\) 2.75123 + 3.92820i 0.202823 + 0.289591i
\(185\) 0.507889i 0.0373407i
\(186\) 1.00838 + 0.0914136i 0.0739381 + 0.00670277i
\(187\) 0.328947 2.28788i 0.0240550 0.167306i
\(188\) −8.32953 3.80397i −0.607493 0.277433i
\(189\) 0.912306 7.06496i 0.0663605 0.513900i
\(190\) −3.41853 7.48553i −0.248006 0.543057i
\(191\) −5.31393 6.13261i −0.384503 0.443740i 0.530197 0.847875i \(-0.322118\pi\)
−0.914699 + 0.404135i \(0.867573\pi\)
\(192\) 1.50413 + 0.858826i 0.108551 + 0.0619804i
\(193\) −19.2594 5.65508i −1.38633 0.407062i −0.498359 0.866971i \(-0.666064\pi\)
−0.887966 + 0.459909i \(0.847882\pi\)
\(194\) 12.1291 13.9977i 0.870818 1.00498i
\(195\) 10.4191 3.66209i 0.746126 0.262248i
\(196\) −4.30766 2.76836i −0.307690 0.197740i
\(197\) 12.4468 + 10.7852i 0.886799 + 0.768415i 0.973708 0.227801i \(-0.0731535\pi\)
−0.0869091 + 0.996216i \(0.527699\pi\)
\(198\) 1.21054 + 0.0460394i 0.0860295 + 0.00327188i
\(199\) −17.1194 + 2.46140i −1.21356 + 0.174484i −0.719220 0.694782i \(-0.755501\pi\)
−0.494344 + 0.869266i \(0.664592\pi\)
\(200\) 0.755750 0.654861i 0.0534396 0.0463056i
\(201\) −1.08158 + 4.55346i −0.0762884 + 0.321176i
\(202\) −12.3282 + 3.61987i −0.867406 + 0.254693i
\(203\) −2.25873 + 4.94593i −0.158532 + 0.347136i
\(204\) 6.87600 + 7.14247i 0.481416 + 0.500073i
\(205\) −2.30749 3.59052i −0.161162 0.250773i
\(206\) 0.138487 0.00964886
\(207\) −13.0767 + 5.99990i −0.908896 + 0.417022i
\(208\) 6.37621 0.442111
\(209\) −1.79655 2.79548i −0.124270 0.193367i
\(210\) −1.64684 1.71066i −0.113643 0.118047i
\(211\) 7.81051 17.1026i 0.537698 1.17739i −0.424596 0.905383i \(-0.639584\pi\)
0.962294 0.272011i \(-0.0876888\pi\)
\(212\) 4.30403 1.26378i 0.295602 0.0867966i
\(213\) 2.08248 8.76730i 0.142689 0.600725i
\(214\) −4.06102 + 3.51889i −0.277606 + 0.240547i
\(215\) 1.84231 0.264885i 0.125645 0.0180650i
\(216\) −3.34594 + 3.97551i −0.227662 + 0.270499i
\(217\) −0.605673 0.524819i −0.0411158 0.0356270i
\(218\) −7.50505 4.82320i −0.508306 0.326669i
\(219\) −17.8665 + 6.27970i −1.20730 + 0.424343i
\(220\) 0.264437 0.305176i 0.0178283 0.0205750i
\(221\) 35.0193 + 10.2826i 2.35566 + 0.691683i
\(222\) −0.763932 0.436188i −0.0512718 0.0292750i
\(223\) 7.59769 + 8.76820i 0.508779 + 0.587162i 0.950786 0.309850i \(-0.100279\pi\)
−0.442007 + 0.897012i \(0.645733\pi\)
\(224\) −0.569510 1.24705i −0.0380520 0.0833222i
\(225\) 1.52484 + 2.58358i 0.101656 + 0.172239i
\(226\) −1.77814 0.812048i −0.118280 0.0540166i
\(227\) 0.676097 4.70236i 0.0448741 0.312107i −0.955005 0.296588i \(-0.904151\pi\)
0.999880 0.0155183i \(-0.00493982\pi\)
\(228\) 14.1952 + 1.28685i 0.940097 + 0.0852234i
\(229\) 0.284547i 0.0188034i 0.999956 + 0.00940171i \(0.00299270\pi\)
−0.999956 + 0.00940171i \(0.997007\pi\)
\(230\) −1.16707 + 4.65166i −0.0769541 + 0.306721i
\(231\) −0.756542 0.589104i −0.0497768 0.0387602i
\(232\) 3.33649 2.14423i 0.219051 0.140776i
\(233\) −16.1092 2.31616i −1.05535 0.151736i −0.407269 0.913308i \(-0.633519\pi\)
−0.648081 + 0.761572i \(0.724428\pi\)
\(234\) −3.43990 + 18.8168i −0.224873 + 1.23009i
\(235\) −2.57983 8.78611i −0.168290 0.573142i
\(236\) 0.453558 0.207133i 0.0295241 0.0134832i
\(237\) 1.00843 + 19.2298i 0.0655046 + 1.24911i
\(238\) −1.11679 7.76746i −0.0723909 0.503490i
\(239\) −3.97555 + 13.5395i −0.257157 + 0.875797i 0.725161 + 0.688579i \(0.241765\pi\)
−0.982318 + 0.187218i \(0.940053\pi\)
\(240\) 0.335941 + 1.69916i 0.0216849 + 0.109680i
\(241\) −2.70342 + 4.20660i −0.174142 + 0.270971i −0.917343 0.398098i \(-0.869670\pi\)
0.743201 + 0.669069i \(0.233307\pi\)
\(242\) −5.85889 + 9.11661i −0.376624 + 0.586038i
\(243\) −9.92701 12.0189i −0.636818 0.771014i
\(244\) 1.58092 5.38414i 0.101208 0.344684i
\(245\) −0.728726 5.06840i −0.0465566 0.323808i
\(246\) 7.38236 0.387138i 0.470682 0.0246830i
\(247\) 47.7293 21.7972i 3.03694 1.38693i
\(248\) 0.164694 + 0.560897i 0.0104581 + 0.0356170i
\(249\) 8.73278 + 16.7417i 0.553418 + 1.06096i
\(250\) 0.989821 + 0.142315i 0.0626018 + 0.00900078i
\(251\) 6.63388 4.26334i 0.418727 0.269099i −0.314267 0.949335i \(-0.601759\pi\)
0.732994 + 0.680235i \(0.238122\pi\)
\(252\) 3.98741 1.00790i 0.251183 0.0634920i
\(253\) −0.199152 + 1.92632i −0.0125206 + 0.121107i
\(254\) 15.8021i 0.991511i
\(255\) −0.895103 + 9.87386i −0.0560535 + 0.618325i
\(256\) −0.142315 + 0.989821i −0.00889468 + 0.0618638i
\(257\) 13.4220 + 6.12962i 0.837241 + 0.382355i 0.787430 0.616404i \(-0.211411\pi\)
0.0498105 + 0.998759i \(0.484138\pi\)
\(258\) −1.18380 + 2.99858i −0.0737005 + 0.186683i
\(259\) 0.289247 + 0.633363i 0.0179730 + 0.0393553i
\(260\) 4.17553 + 4.81882i 0.258955 + 0.298850i
\(261\) 4.52783 + 11.0031i 0.280266 + 0.681074i
\(262\) −13.4515 3.94973i −0.831038 0.244015i
\(263\) 19.8762 22.9383i 1.22562 1.41444i 0.346352 0.938105i \(-0.387420\pi\)
0.879265 0.476333i \(-0.158034\pi\)
\(264\) 0.231921 + 0.659841i 0.0142737 + 0.0406104i
\(265\) 3.77364 + 2.42517i 0.231813 + 0.148977i
\(266\) −8.52616 7.38796i −0.522772 0.452985i
\(267\) −4.08962 + 2.94185i −0.250281 + 0.180038i
\(268\) −2.67458 + 0.384547i −0.163376 + 0.0234900i
\(269\) −18.4954 + 16.0263i −1.12768 + 0.977143i −0.999893 0.0146579i \(-0.995334\pi\)
−0.127791 + 0.991801i \(0.540789\pi\)
\(270\) −5.19562 + 0.0747141i −0.316195 + 0.00454696i
\(271\) 9.00422 2.64388i 0.546967 0.160604i 0.00343777 0.999994i \(-0.498906\pi\)
0.543530 + 0.839390i \(0.317088\pi\)
\(272\) −2.37786 + 5.20678i −0.144179 + 0.315707i
\(273\) 10.9075 10.5006i 0.660154 0.635524i
\(274\) 10.0289 + 15.6052i 0.605866 + 0.942746i
\(275\) 0.403806 0.0243504
\(276\) −5.99441 5.75039i −0.360821 0.346133i
\(277\) −14.7786 −0.887960 −0.443980 0.896037i \(-0.646434\pi\)
−0.443980 + 0.896037i \(0.646434\pi\)
\(278\) −6.89917 10.7353i −0.413785 0.643862i
\(279\) −1.74411 + 0.183430i −0.104417 + 0.0109817i
\(280\) 0.569510 1.24705i 0.0340347 0.0745256i
\(281\) −10.1480 + 2.97972i −0.605379 + 0.177755i −0.570036 0.821620i \(-0.693071\pi\)
−0.0353434 + 0.999375i \(0.511252\pi\)
\(282\) 15.4311 + 3.66532i 0.918909 + 0.218267i
\(283\) −17.1110 + 14.8268i −1.01715 + 0.881361i −0.992972 0.118346i \(-0.962241\pi\)
−0.0241728 + 0.999708i \(0.507695\pi\)
\(284\) 5.14968 0.740412i 0.305577 0.0439354i
\(285\) 8.32332 + 11.5707i 0.493031 + 0.685388i
\(286\) 1.94587 + 1.68610i 0.115062 + 0.0997014i
\(287\) −4.92239 3.16343i −0.290560 0.186731i
\(288\) −2.84428 0.953982i −0.167601 0.0562140i
\(289\) −10.3237 + 11.9142i −0.607278 + 0.700836i
\(290\) 3.80544 + 1.11738i 0.223463 + 0.0656147i
\(291\) −15.9069 + 27.8590i −0.932476 + 1.63312i
\(292\) −7.16013 8.26324i −0.419015 0.483569i
\(293\) 3.55717 + 7.78911i 0.207812 + 0.455045i 0.984624 0.174688i \(-0.0558917\pi\)
−0.776812 + 0.629733i \(0.783164\pi\)
\(294\) 8.24940 + 3.25677i 0.481115 + 0.189939i
\(295\) 0.453558 + 0.207133i 0.0264072 + 0.0120598i
\(296\) 0.0722801 0.502719i 0.00420119 0.0292200i
\(297\) −2.07237 + 0.328442i −0.120251 + 0.0190582i
\(298\) 2.41452i 0.139869i
\(299\) −29.6600 7.44146i −1.71528 0.430351i
\(300\) −1.06414 + 1.36660i −0.0614384 + 0.0789007i
\(301\) 2.14661 1.37954i 0.123728 0.0795154i
\(302\) −1.24199 0.178571i −0.0714685 0.0102756i
\(303\) 19.7314 10.2923i 1.13354 0.591276i
\(304\) 2.31843 + 7.89584i 0.132971 + 0.452858i
\(305\) 5.10434 2.33108i 0.292274 0.133477i
\(306\) −14.0829 9.82628i −0.805064 0.561731i
\(307\) 0.000241553 0.00168004i 1.37862e−5 9.58849e-5i 0.989828 0.142267i \(-0.0454391\pi\)
−0.989815 + 0.142363i \(0.954530\pi\)
\(308\) 0.155965 0.531170i 0.00888696 0.0302662i
\(309\) −0.235312 + 0.0465235i −0.0133864 + 0.00264663i
\(310\) −0.316046 + 0.491777i −0.0179502 + 0.0279311i
\(311\) −15.2226 + 23.6868i −0.863194 + 1.34316i 0.0750490 + 0.997180i \(0.476089\pi\)
−0.938243 + 0.345977i \(0.887548\pi\)
\(312\) −10.8342 + 2.14203i −0.613366 + 0.121269i
\(313\) −0.414295 + 1.41096i −0.0234173 + 0.0797521i −0.970373 0.241613i \(-0.922324\pi\)
0.946955 + 0.321365i \(0.104142\pi\)
\(314\) −2.88306 20.0521i −0.162701 1.13161i
\(315\) 3.37292 + 2.35345i 0.190043 + 0.132602i
\(316\) −10.1129 + 4.61842i −0.568896 + 0.259806i
\(317\) 6.98427 + 23.7862i 0.392276 + 1.33597i 0.884922 + 0.465739i \(0.154211\pi\)
−0.492646 + 0.870230i \(0.663970\pi\)
\(318\) −6.88868 + 3.59326i −0.386298 + 0.201500i
\(319\) 1.58523 + 0.227922i 0.0887559 + 0.0127612i
\(320\) −0.841254 + 0.540641i −0.0470275 + 0.0302227i
\(321\) 5.71818 7.34342i 0.319158 0.409870i
\(322\) 1.19377 + 6.46552i 0.0665264 + 0.360309i
\(323\) 47.1043i 2.62095i
\(324\) 4.34975 7.87907i 0.241653 0.437726i
\(325\) −0.907429 + 6.31131i −0.0503351 + 0.350088i
\(326\) 12.8900 + 5.88666i 0.713910 + 0.326032i
\(327\) 14.3726 + 5.67414i 0.794806 + 0.313781i
\(328\) 1.77302 + 3.88237i 0.0978985 + 0.214368i
\(329\) −8.22096 9.48749i −0.453236 0.523062i
\(330\) −0.346799 + 0.607378i −0.0190907 + 0.0334351i
\(331\) 0.0124577 + 0.00365790i 0.000684735 + 0.000201056i 0.282075 0.959392i \(-0.408977\pi\)
−0.281390 + 0.959593i \(0.590796\pi\)
\(332\) −7.13915 + 8.23902i −0.391812 + 0.452175i
\(333\) 1.44458 + 0.484517i 0.0791623 + 0.0265514i
\(334\) −10.8285 6.95903i −0.592507 0.380781i
\(335\) −2.04210 1.76949i −0.111572 0.0966776i
\(336\) 1.38662 + 1.92762i 0.0756465 + 0.105160i
\(337\) −19.8278 + 2.85081i −1.08009 + 0.155293i −0.659311 0.751870i \(-0.729152\pi\)
−0.420778 + 0.907164i \(0.638243\pi\)
\(338\) −20.9011 + 18.1109i −1.13687 + 0.985101i
\(339\) 3.29414 + 0.782450i 0.178913 + 0.0424969i
\(340\) −5.49219 + 1.61265i −0.297856 + 0.0874583i
\(341\) −0.0980610 + 0.214724i −0.00531030 + 0.0116279i
\(342\) −24.5521 + 2.58218i −1.32763 + 0.139628i
\(343\) −8.98357 13.9787i −0.485067 0.754779i
\(344\) −1.86126 −0.100352
\(345\) 0.420350 8.29598i 0.0226309 0.446641i
\(346\) 18.7938 1.01036
\(347\) −1.62527 2.52897i −0.0872490 0.135762i 0.794886 0.606759i \(-0.207531\pi\)
−0.882135 + 0.470997i \(0.843894\pi\)
\(348\) −4.94890 + 4.76426i −0.265289 + 0.255391i
\(349\) −5.31186 + 11.6314i −0.284337 + 0.622612i −0.996873 0.0790243i \(-0.974820\pi\)
0.712535 + 0.701636i \(0.247547\pi\)
\(350\) 1.31541 0.386239i 0.0703115 0.0206453i
\(351\) −0.476393 33.1283i −0.0254280 1.76826i
\(352\) −0.305176 + 0.264437i −0.0162659 + 0.0140945i
\(353\) −32.2167 + 4.63207i −1.71472 + 0.246540i −0.928482 0.371379i \(-0.878885\pi\)
−0.786242 + 0.617919i \(0.787976\pi\)
\(354\) −0.701084 + 0.504321i −0.0372622 + 0.0268044i
\(355\) 3.93189 + 3.40700i 0.208683 + 0.180825i
\(356\) −2.44685 1.57250i −0.129683 0.0833422i
\(357\) 4.50702 + 12.8230i 0.238537 + 0.678664i
\(358\) −12.7580 + 14.7235i −0.674279 + 0.778159i
\(359\) 29.4460 + 8.64613i 1.55410 + 0.456326i 0.942323 0.334704i \(-0.108636\pi\)
0.611778 + 0.791029i \(0.290454\pi\)
\(360\) −1.14163 2.77429i −0.0601694 0.146218i
\(361\) 31.9045 + 36.8197i 1.67918 + 1.93788i
\(362\) −4.59369 10.0588i −0.241439 0.528677i
\(363\) 6.89255 17.4588i 0.361765 0.916351i
\(364\) 7.95146 + 3.63131i 0.416770 + 0.190332i
\(365\) 1.55605 10.8225i 0.0814472 0.566478i
\(366\) −0.877493 + 9.67960i −0.0458673 + 0.505961i
\(367\) 34.1297i 1.78156i 0.454440 + 0.890778i \(0.349840\pi\)
−0.454440 + 0.890778i \(0.650160\pi\)
\(368\) 1.81719 4.43822i 0.0947275 0.231358i
\(369\) −12.4137 + 3.13784i −0.646234 + 0.163350i
\(370\) 0.427263 0.274585i 0.0222124 0.0142750i
\(371\) 6.08708 + 0.875190i 0.316026 + 0.0454376i
\(372\) −0.468270 0.897726i −0.0242787 0.0465449i
\(373\) −8.56531 29.1708i −0.443495 1.51041i −0.813605 0.581417i \(-0.802498\pi\)
0.370110 0.928988i \(-0.379320\pi\)
\(374\) −2.10253 + 0.960192i −0.108719 + 0.0496504i
\(375\) −1.72967 + 0.0907058i −0.0893200 + 0.00468403i
\(376\) 1.30318 + 9.06383i 0.0672064 + 0.467431i
\(377\) −7.12464 + 24.2643i −0.366938 + 1.24967i
\(378\) −6.43665 + 3.05212i −0.331066 + 0.156984i
\(379\) 14.6211 22.7509i 0.751036 1.16864i −0.229693 0.973263i \(-0.573772\pi\)
0.980729 0.195372i \(-0.0625914\pi\)
\(380\) −4.44903 + 6.92283i −0.228231 + 0.355134i
\(381\) 5.30857 + 26.8503i 0.271966 + 1.37558i
\(382\) −2.28615 + 7.78590i −0.116969 + 0.398361i
\(383\) −0.820838 5.70905i −0.0419428 0.291719i −0.999987 0.00509823i \(-0.998377\pi\)
0.958044 0.286621i \(-0.0925319\pi\)
\(384\) −0.0907058 1.72967i −0.00462881 0.0882671i
\(385\) 0.503567 0.229971i 0.0256641 0.0117204i
\(386\) 5.65508 + 19.2594i 0.287836 + 0.980280i
\(387\) 1.00413 5.49275i 0.0510428 0.279212i
\(388\) −18.3331 2.63590i −0.930722 0.133818i
\(389\) 3.43506 2.20758i 0.174165 0.111929i −0.450654 0.892699i \(-0.648809\pi\)
0.624819 + 0.780770i \(0.285173\pi\)
\(390\) −8.71373 6.78521i −0.441237 0.343583i
\(391\) 17.1376 21.4451i 0.866688 1.08452i
\(392\) 5.12052i 0.258625i
\(393\) 24.1832 + 2.19230i 1.21988 + 0.110587i
\(394\) 2.34385 16.3019i 0.118082 0.821276i
\(395\) −10.1129 4.61842i −0.508836 0.232378i
\(396\) −0.615738 1.04326i −0.0309420 0.0524260i
\(397\) 1.28656 + 2.81718i 0.0645706 + 0.141390i 0.939166 0.343464i \(-0.111600\pi\)
−0.874595 + 0.484854i \(0.838873\pi\)
\(398\) 11.3261 + 13.0711i 0.567728 + 0.655193i
\(399\) 16.9692 + 9.68904i 0.849524 + 0.485059i
\(400\) −0.959493 0.281733i −0.0479746 0.0140866i
\(401\) −18.5602 + 21.4196i −0.926850 + 1.06964i 0.0705448 + 0.997509i \(0.477526\pi\)
−0.997395 + 0.0721336i \(0.977019\pi\)
\(402\) 4.41536 1.55191i 0.220218 0.0774022i
\(403\) −3.13567 2.01518i −0.156199 0.100383i
\(404\) 9.71034 + 8.41406i 0.483107 + 0.418615i
\(405\) 8.80308 1.87237i 0.437429 0.0930388i
\(406\) 5.38194 0.773806i 0.267101 0.0384034i
\(407\) 0.154995 0.134304i 0.00768284 0.00665722i
\(408\) 2.29119 9.64597i 0.113431 0.477547i
\(409\) −23.5077 + 6.90247i −1.16238 + 0.341305i −0.805357 0.592791i \(-0.798026\pi\)
−0.357022 + 0.934096i \(0.616208\pi\)
\(410\) −1.77302 + 3.88237i −0.0875631 + 0.191736i
\(411\) −22.2831 23.1467i −1.09914 1.14174i
\(412\) −0.0748719 0.116503i −0.00368867 0.00573969i
\(413\) 0.683575 0.0336365
\(414\) 12.1173 + 7.75707i 0.595531 + 0.381239i
\(415\) −10.9018 −0.535148
\(416\) −3.44724 5.36401i −0.169015 0.262992i
\(417\) 15.3292 + 15.9233i 0.750676 + 0.779768i
\(418\) −1.38042 + 3.02270i −0.0675186 + 0.147845i
\(419\) 23.1205 6.78879i 1.12951 0.331654i 0.336995 0.941506i \(-0.390589\pi\)
0.792515 + 0.609852i \(0.208771\pi\)
\(420\) −0.548752 + 2.31026i −0.0267764 + 0.112729i
\(421\) −12.5394 + 10.8654i −0.611132 + 0.529548i −0.904512 0.426447i \(-0.859765\pi\)
0.293381 + 0.955996i \(0.405220\pi\)
\(422\) −18.6103 + 2.67576i −0.905937 + 0.130254i
\(423\) −27.4512 1.04403i −1.33473 0.0507623i
\(424\) −3.39009 2.93753i −0.164637 0.142659i
\(425\) −4.81538 3.09466i −0.233580 0.150113i
\(426\) −8.50139 + 2.98807i −0.411894 + 0.144772i
\(427\) 5.03781 5.81394i 0.243797 0.281356i
\(428\) 5.15583 + 1.51389i 0.249217 + 0.0731766i
\(429\) −3.87277 2.21126i −0.186979 0.106761i
\(430\) −1.21887 1.40665i −0.0587789 0.0678345i
\(431\) −11.1779 24.4762i −0.538421 1.17898i −0.961983 0.273110i \(-0.911948\pi\)
0.423562 0.905867i \(-0.360779\pi\)
\(432\) 5.15336 + 0.665459i 0.247941 + 0.0320169i
\(433\) 24.9796 + 11.4078i 1.20044 + 0.548223i 0.912362 0.409384i \(-0.134256\pi\)
0.288079 + 0.957607i \(0.406984\pi\)
\(434\) −0.114054 + 0.793263i −0.00547477 + 0.0380778i
\(435\) −6.84142 0.620201i −0.328021 0.0297364i
\(436\) 8.92127i 0.427251i
\(437\) −1.56957 39.4346i −0.0750827 1.88641i
\(438\) 14.9422 + 11.6352i 0.713965 + 0.555950i
\(439\) −7.04000 + 4.52433i −0.336001 + 0.215935i −0.697751 0.716340i \(-0.745816\pi\)
0.361750 + 0.932275i \(0.382179\pi\)
\(440\) −0.399696 0.0574676i −0.0190547 0.00273966i
\(441\) −15.1111 2.76247i −0.719578 0.131546i
\(442\) −10.2826 35.0193i −0.489094 1.66570i
\(443\) 21.6350 9.88038i 1.02791 0.469431i 0.171204 0.985236i \(-0.445234\pi\)
0.856706 + 0.515805i \(0.172507\pi\)
\(444\) 0.0460684 + 0.878482i 0.00218631 + 0.0416909i
\(445\) −0.413934 2.87897i −0.0196224 0.136476i
\(446\) 3.26866 11.1320i 0.154775 0.527117i
\(447\) 0.811135 + 4.10265i 0.0383654 + 0.194049i
\(448\) −0.741187 + 1.15331i −0.0350178 + 0.0544887i
\(449\) 5.45849 8.49357i 0.257602 0.400836i −0.688230 0.725492i \(-0.741612\pi\)
0.945832 + 0.324656i \(0.105248\pi\)
\(450\) 1.34906 2.67956i 0.0635951 0.126316i
\(451\) −0.485557 + 1.65366i −0.0228640 + 0.0778676i
\(452\) 0.278195 + 1.93489i 0.0130852 + 0.0910096i
\(453\) 2.17033 0.113814i 0.101971 0.00534745i
\(454\) −4.32140 + 1.97352i −0.202813 + 0.0926218i
\(455\) 2.46274 + 8.38732i 0.115455 + 0.393204i
\(456\) −6.59192 12.6374i −0.308695 0.591803i
\(457\) −26.9812 3.87930i −1.26213 0.181466i −0.521422 0.853299i \(-0.674598\pi\)
−0.740703 + 0.671833i \(0.765507\pi\)
\(458\) 0.239376 0.153838i 0.0111853 0.00718837i
\(459\) 27.2301 + 11.9654i 1.27099 + 0.558497i
\(460\) 4.54419 1.53308i 0.211874 0.0714802i
\(461\) 0.702074i 0.0326989i −0.999866 0.0163494i \(-0.994796\pi\)
0.999866 0.0163494i \(-0.00520442\pi\)
\(462\) −0.0865687 + 0.954937i −0.00402754 + 0.0444277i
\(463\) 4.25598 29.6010i 0.197792 1.37568i −0.612880 0.790176i \(-0.709989\pi\)
0.810673 0.585500i \(-0.199102\pi\)
\(464\) −3.60769 1.64758i −0.167483 0.0764868i
\(465\) 0.371805 0.941781i 0.0172420 0.0436740i
\(466\) 6.76083 + 14.8041i 0.313189 + 0.685789i
\(467\) −14.1475 16.3271i −0.654669 0.755528i 0.327228 0.944945i \(-0.393886\pi\)
−0.981897 + 0.189417i \(0.939340\pi\)
\(468\) 17.6894 7.27930i 0.817695 0.336486i
\(469\) −3.55435 1.04365i −0.164125 0.0481913i
\(470\) −5.99658 + 6.92042i −0.276602 + 0.319215i
\(471\) 11.6351 + 33.1032i 0.536118 + 1.52532i
\(472\) −0.419464 0.269573i −0.0193074 0.0124081i
\(473\) −0.568012 0.492185i −0.0261172 0.0226307i
\(474\) 15.6320 11.2448i 0.718000 0.516490i
\(475\) −8.14542 + 1.17114i −0.373738 + 0.0537354i
\(476\) −5.93062 + 5.13891i −0.271830 + 0.235542i
\(477\) 10.4978 8.41971i 0.480663 0.385512i
\(478\) 13.5395 3.97555i 0.619282 0.181838i
\(479\) −10.3362 + 22.6331i −0.472272 + 1.03413i 0.512244 + 0.858840i \(0.328814\pi\)
−0.984516 + 0.175292i \(0.943913\pi\)
\(480\) 1.24780 1.20125i 0.0569541 0.0548292i
\(481\) 1.75081 + 2.72432i 0.0798302 + 0.124218i
\(482\) 5.00039 0.227762
\(483\) −4.20044 10.5849i −0.191127 0.481630i
\(484\) 10.8369 0.492588
\(485\) −10.0135 15.5814i −0.454692 0.707514i
\(486\) −4.74402 + 14.8491i −0.215193 + 0.673567i
\(487\) 4.16130 9.11198i 0.188567 0.412903i −0.791611 0.611026i \(-0.790757\pi\)
0.980177 + 0.198123i \(0.0634844\pi\)
\(488\) −5.38414 + 1.58092i −0.243728 + 0.0715651i
\(489\) −23.8797 5.67210i −1.07988 0.256501i
\(490\) −3.86983 + 3.35323i −0.174821 + 0.151483i
\(491\) 11.8700 1.70664i 0.535684 0.0770198i 0.130837 0.991404i \(-0.458234\pi\)
0.404848 + 0.914384i \(0.367325\pi\)
\(492\) −4.31688 6.00113i −0.194620 0.270552i
\(493\) −17.1571 14.8667i −0.772718 0.669564i
\(494\) −44.1414 28.3680i −1.98602 1.27634i
\(495\) 0.385224 1.14854i 0.0173145 0.0516229i
\(496\) 0.382816 0.441794i 0.0171890 0.0198371i
\(497\) 6.84359 + 2.00946i 0.306977 + 0.0901366i
\(498\) 9.36273 16.3977i 0.419554 0.734800i
\(499\) 16.3850 + 18.9092i 0.733491 + 0.846494i 0.992860 0.119284i \(-0.0380599\pi\)
−0.259369 + 0.965778i \(0.583514\pi\)
\(500\) −0.415415 0.909632i −0.0185779 0.0406800i
\(501\) 20.7371 + 8.18678i 0.926465 + 0.365758i
\(502\) −7.17309 3.27584i −0.320151 0.146208i
\(503\) −1.02098 + 7.10104i −0.0455231 + 0.316620i 0.954318 + 0.298793i \(0.0965839\pi\)
−0.999841 + 0.0178271i \(0.994325\pi\)
\(504\) −3.00366 2.80951i −0.133794 0.125145i
\(505\) 12.8486i 0.571756i
\(506\) 1.72819 0.873909i 0.0768275 0.0388500i
\(507\) 29.4300 37.7948i 1.30703 1.67852i
\(508\) −13.2936 + 8.54326i −0.589807 + 0.379046i
\(509\) 3.69012 + 0.530559i 0.163562 + 0.0235166i 0.223609 0.974679i \(-0.428216\pi\)
−0.0600475 + 0.998196i \(0.519125\pi\)
\(510\) 8.79035 4.58520i 0.389243 0.203036i
\(511\) −4.22307 14.3824i −0.186818 0.636242i
\(512\) 0.909632 0.415415i 0.0402004 0.0183589i
\(513\) 40.8506 12.6356i 1.80360 0.557875i
\(514\) −2.09991 14.6052i −0.0926232 0.644209i
\(515\) 0.0390164 0.132878i 0.00171927 0.00585528i
\(516\) 3.16258 0.625273i 0.139225 0.0275261i
\(517\) −1.99911 + 3.11067i −0.0879206 + 0.136807i
\(518\) 0.376440 0.585753i 0.0165398 0.0257365i
\(519\) −31.9337 + 6.31361i −1.40173 + 0.277137i
\(520\) 1.79639 6.11793i 0.0787767 0.268289i
\(521\) −1.00592 6.99634i −0.0440703 0.306515i −0.999920 0.0126591i \(-0.995970\pi\)
0.955850 0.293856i \(-0.0949387\pi\)
\(522\) 6.80846 9.75777i 0.297998 0.427086i
\(523\) −13.5095 + 6.16959i −0.590730 + 0.269777i −0.688270 0.725454i \(-0.741630\pi\)
0.0975404 + 0.995232i \(0.468902\pi\)
\(524\) 3.94973 + 13.4515i 0.172545 + 0.587633i
\(525\) −2.10534 + 1.09818i −0.0918844 + 0.0479285i
\(526\) −30.0428 4.31950i −1.30993 0.188339i
\(527\) 2.81496 1.80906i 0.122621 0.0788040i
\(528\) 0.429708 0.551841i 0.0187006 0.0240158i
\(529\) −13.6326 + 18.5243i −0.592724 + 0.805406i
\(530\) 4.48573i 0.194848i
\(531\) 1.02183 1.09244i 0.0443437 0.0474081i
\(532\) −1.60556 + 11.1669i −0.0696097 + 0.484146i
\(533\) −24.7548 11.3051i −1.07225 0.489679i
\(534\) 4.68586 + 1.84993i 0.202777 + 0.0800541i
\(535\) 2.23223 + 4.88791i 0.0965078 + 0.211323i
\(536\) 1.76949 + 2.04210i 0.0764304 + 0.0882053i
\(537\) 16.7316 29.3034i 0.722021 1.26454i
\(538\) 23.4816 + 6.89481i 1.01236 + 0.297256i
\(539\) −1.35405 + 1.56266i −0.0583232 + 0.0673086i
\(540\) 2.87182 + 4.33044i 0.123583 + 0.186352i
\(541\) 25.2953 + 16.2563i 1.08753 + 0.698912i 0.956284 0.292438i \(-0.0944665\pi\)
0.131244 + 0.991350i \(0.458103\pi\)
\(542\) −7.09222 6.14544i −0.304637 0.263969i
\(543\) 11.1846 + 15.5483i 0.479976 + 0.667240i
\(544\) 5.66579 0.814617i 0.242919 0.0349264i
\(545\) −6.74225 + 5.84219i −0.288806 + 0.250252i
\(546\) −14.7307 3.49896i −0.630416 0.149742i
\(547\) 18.3940 5.40095i 0.786469 0.230928i 0.136249 0.990675i \(-0.456495\pi\)
0.650219 + 0.759747i \(0.274677\pi\)
\(548\) 7.70593 16.8736i 0.329181 0.720806i
\(549\) −1.76077 16.7420i −0.0751480 0.714530i
\(550\) −0.218314 0.339703i −0.00930894 0.0144850i
\(551\) −32.6377 −1.39041
\(552\) −1.59671 + 8.15172i −0.0679606 + 0.346960i
\(553\) −15.2416 −0.648138
\(554\) 7.98991 + 12.4326i 0.339459 + 0.528208i
\(555\) −0.633744 + 0.610099i −0.0269009 + 0.0258973i
\(556\) −5.30116 + 11.6079i −0.224819 + 0.492285i
\(557\) 40.2355 11.8142i 1.70483 0.500584i 0.723083 0.690761i \(-0.242725\pi\)
0.981750 + 0.190178i \(0.0609064\pi\)
\(558\) 1.09725 + 1.36807i 0.0464502 + 0.0579150i
\(559\) 8.96907 7.77174i 0.379351 0.328710i
\(560\) −1.35699 + 0.195105i −0.0573432 + 0.00824470i
\(561\) 3.24996 2.33785i 0.137214 0.0987039i
\(562\) 7.99313 + 6.92608i 0.337170 + 0.292159i
\(563\) −7.17869 4.61346i −0.302546 0.194434i 0.380555 0.924758i \(-0.375733\pi\)
−0.683101 + 0.730324i \(0.739369\pi\)
\(564\) −5.25922 14.9631i −0.221453 0.630060i
\(565\) −1.28011 + 1.47733i −0.0538548 + 0.0621517i
\(566\) 21.7240 + 6.37875i 0.913128 + 0.268119i
\(567\) 9.91157 7.34838i 0.416247 0.308603i
\(568\) −3.40700 3.93189i −0.142955 0.164978i
\(569\) 3.28662 + 7.19670i 0.137782 + 0.301701i 0.965928 0.258812i \(-0.0833311\pi\)
−0.828145 + 0.560513i \(0.810604\pi\)
\(570\) 5.23396 13.2576i 0.219226 0.555300i
\(571\) −6.88888 3.14605i −0.288291 0.131658i 0.266021 0.963967i \(-0.414291\pi\)
−0.554311 + 0.832309i \(0.687018\pi\)
\(572\) 0.366425 2.54854i 0.0153210 0.106560i
\(573\) 1.26893 13.9975i 0.0530102 0.584754i
\(574\) 5.85126i 0.244227i
\(575\) 4.13444 + 2.43032i 0.172418 + 0.101351i
\(576\) 0.735192 + 2.90852i 0.0306330 + 0.121188i
\(577\) 24.7927 15.9333i 1.03213 0.663311i 0.0891033 0.996022i \(-0.471600\pi\)
0.943029 + 0.332711i \(0.107963\pi\)
\(578\) 15.6043 + 2.24356i 0.649053 + 0.0933197i
\(579\) −16.0789 30.8251i −0.668217 1.28105i
\(580\) −1.11738 3.80544i −0.0463966 0.158012i
\(581\) −13.5951 + 6.20867i −0.564019 + 0.257579i
\(582\) 32.0364 1.68002i 1.32795 0.0696390i
\(583\) −0.257784 1.79293i −0.0106763 0.0742555i
\(584\) −3.08042 + 10.4909i −0.127468 + 0.434118i
\(585\) 17.0854 + 8.60186i 0.706396 + 0.355643i
\(586\) 4.62947 7.20359i 0.191242 0.297578i
\(587\) 17.2670 26.8681i 0.712687 1.10896i −0.276315 0.961067i \(-0.589113\pi\)
0.989003 0.147896i \(-0.0472502\pi\)
\(588\) −1.72019 8.70058i −0.0709395 0.358806i
\(589\) 1.35530 4.61573i 0.0558441 0.190188i
\(590\) −0.0709607 0.493542i −0.00292140 0.0203188i
\(591\) 1.49388 + 28.4869i 0.0614499 + 1.17179i
\(592\) −0.461992 + 0.210985i −0.0189877 + 0.00867141i
\(593\) −1.19659 4.07520i −0.0491379 0.167348i 0.931269 0.364333i \(-0.118703\pi\)
−0.980406 + 0.196985i \(0.936885\pi\)
\(594\) 1.39671 + 1.56582i 0.0573078 + 0.0642464i
\(595\) −7.76746 1.11679i −0.318435 0.0457840i
\(596\) −2.03122 + 1.30539i −0.0832021 + 0.0534707i
\(597\) −23.6360 18.4049i −0.967357 0.753262i
\(598\) 9.77523 + 28.9747i 0.399739 + 1.18486i
\(599\) 35.1729i 1.43713i 0.695461 + 0.718564i \(0.255200\pi\)
−0.695461 + 0.718564i \(0.744800\pi\)
\(600\) 1.72498 + 0.156376i 0.0704219 + 0.00638401i
\(601\) 2.76791 19.2512i 0.112905 0.785274i −0.852163 0.523276i \(-0.824710\pi\)
0.965068 0.261998i \(-0.0843814\pi\)
\(602\) −2.32109 1.06000i −0.0946004 0.0432026i
\(603\) −6.98105 + 4.12024i −0.284290 + 0.167789i
\(604\) 0.521247 + 1.14137i 0.0212092 + 0.0464417i
\(605\) 7.09669 + 8.19001i 0.288521 + 0.332971i
\(606\) −19.3260 11.0347i −0.785067 0.448255i
\(607\) −17.7035 5.19821i −0.718562 0.210989i −0.0980451 0.995182i \(-0.531259\pi\)
−0.620517 + 0.784193i \(0.713077\pi\)
\(608\) 5.38897 6.21920i 0.218552 0.252222i
\(609\) −8.88482 + 3.12283i −0.360031 + 0.126544i
\(610\) −4.72064 3.03377i −0.191133 0.122834i
\(611\) −44.1261 38.2355i −1.78515 1.54684i
\(612\) −0.652620 + 17.1597i −0.0263806 + 0.693642i
\(613\) −23.1683 + 3.33110i −0.935759 + 0.134542i −0.593292 0.804988i \(-0.702172\pi\)
−0.342468 + 0.939530i \(0.611263\pi\)
\(614\) 0.00128275 0.00111151i 5.17674e−5 4.48567e-5i
\(615\) 1.70839 7.19239i 0.0688891 0.290025i
\(616\) −0.531170 + 0.155965i −0.0214014 + 0.00628403i
\(617\) −4.50903 + 9.87339i −0.181527 + 0.397488i −0.978418 0.206635i \(-0.933749\pi\)
0.796892 + 0.604122i \(0.206476\pi\)
\(618\) 0.166357 + 0.172804i 0.00669187 + 0.00695122i
\(619\) −4.05753 6.31364i −0.163086 0.253767i 0.750087 0.661339i \(-0.230012\pi\)
−0.913173 + 0.407573i \(0.866375\pi\)
\(620\) 0.584577 0.0234772
\(621\) −23.1951 9.10981i −0.930786 0.365564i
\(622\) 28.1566 1.12898
\(623\) −2.15580 3.35449i −0.0863703 0.134395i
\(624\) 7.65940 + 7.95624i 0.306621 + 0.318505i
\(625\) 0.415415 0.909632i 0.0166166 0.0363853i
\(626\) 1.41096 0.414295i 0.0563933 0.0165586i
\(627\) 1.33011 5.59979i 0.0531194 0.223634i
\(628\) −15.3102 + 13.2664i −0.610945 + 0.529387i
\(629\) −2.87759 + 0.413735i −0.114737 + 0.0164967i
\(630\) 0.156306 4.10985i 0.00622738 0.163740i
\(631\) 16.0437 + 13.9020i 0.638690 + 0.553428i 0.912870 0.408250i \(-0.133861\pi\)
−0.274180 + 0.961678i \(0.588406\pi\)
\(632\) 9.35272 + 6.01063i 0.372031 + 0.239090i
\(633\) 30.7230 10.7985i 1.22113 0.429203i
\(634\) 16.2343 18.7354i 0.644746 0.744076i
\(635\) −15.1620 4.45196i −0.601685 0.176671i
\(636\) 6.74714 + 3.85246i 0.267542 + 0.152760i
\(637\) −21.3809 24.6749i −0.847142 0.977653i
\(638\) −0.665301 1.45681i −0.0263395 0.0576755i
\(639\) 13.4414 7.93317i 0.531734 0.313831i
\(640\) 0.909632 + 0.415415i 0.0359564 + 0.0164207i
\(641\) −3.68330 + 25.6179i −0.145482 + 1.01185i 0.778016 + 0.628244i \(0.216226\pi\)
−0.923498 + 0.383603i \(0.874683\pi\)
\(642\) −9.26916 0.840285i −0.365825 0.0331634i
\(643\) 36.6855i 1.44673i 0.690464 + 0.723367i \(0.257406\pi\)
−0.690464 + 0.723367i \(0.742594\pi\)
\(644\) 4.79374 4.49979i 0.188900 0.177317i
\(645\) 2.54360 + 1.98065i 0.100154 + 0.0779880i
\(646\) 39.6266 25.4665i 1.55909 1.00197i
\(647\) −21.6513 3.11299i −0.851202 0.122384i −0.297113 0.954842i \(-0.596024\pi\)
−0.554088 + 0.832458i \(0.686933\pi\)
\(648\) −8.97994 + 0.600503i −0.352766 + 0.0235900i
\(649\) −0.0567253 0.193189i −0.00222666 0.00758332i
\(650\) 5.80000 2.64877i 0.227495 0.103893i
\(651\) −0.0726934 1.38620i −0.00284908 0.0543293i
\(652\) −2.01668 14.0263i −0.0789792 0.549313i
\(653\) 4.27934 14.5741i 0.167463 0.570328i −0.832406 0.554166i \(-0.813037\pi\)
0.999869 0.0161617i \(-0.00514466\pi\)
\(654\) −2.99702 15.1587i −0.117193 0.592751i
\(655\) −7.57947 + 11.7939i −0.296154 + 0.460825i
\(656\) 2.30749 3.59052i 0.0900923 0.140186i
\(657\) −29.2979 14.7503i −1.14302 0.575466i
\(658\) −3.53680 + 12.0452i −0.137879 + 0.469572i
\(659\) −1.13675 7.90628i −0.0442815 0.307985i −0.999910 0.0134105i \(-0.995731\pi\)
0.955629 0.294574i \(-0.0951779\pi\)
\(660\) 0.698453 0.0366275i 0.0271872 0.00142572i
\(661\) −31.5144 + 14.3921i −1.22577 + 0.559790i −0.919851 0.392268i \(-0.871690\pi\)
−0.305917 + 0.952058i \(0.598963\pi\)
\(662\) −0.00365790 0.0124577i −0.000142168 0.000484181i
\(663\) 29.2362 + 56.0491i 1.13544 + 2.17677i
\(664\) 10.7908 + 1.55149i 0.418765 + 0.0602093i
\(665\) −9.49079 + 6.09936i −0.368037 + 0.236523i
\(666\) −0.373395 1.47720i −0.0144688 0.0572405i
\(667\) 14.8589 + 11.8744i 0.575339 + 0.459778i
\(668\) 12.8718i 0.498025i
\(669\) −1.81427 + 20.0132i −0.0701437 + 0.773754i
\(670\) −0.384547 + 2.67458i −0.0148563 + 0.103328i
\(671\) −2.06116 0.941302i −0.0795703 0.0363386i
\(672\) 0.871951 2.20865i 0.0336362 0.0852006i
\(673\) 7.46626 + 16.3488i 0.287803 + 0.630201i 0.997214 0.0745943i \(-0.0237662\pi\)
−0.709411 + 0.704795i \(0.751039\pi\)
\(674\) 13.1180 + 15.1389i 0.505285 + 0.583131i
\(675\) −1.39209 + 5.00621i −0.0535814 + 0.192689i
\(676\) 26.5358 + 7.79161i 1.02061 + 0.299677i
\(677\) 16.5525 19.1026i 0.636165 0.734174i −0.342527 0.939508i \(-0.611283\pi\)
0.978692 + 0.205334i \(0.0658281\pi\)
\(678\) −1.12271 3.19423i −0.0431173 0.122674i
\(679\) −21.3612 13.7280i −0.819766 0.526832i
\(680\) 4.32595 + 3.74846i 0.165893 + 0.143747i
\(681\) 6.67977 4.80506i 0.255969 0.184130i
\(682\) 0.233653 0.0335942i 0.00894703 0.00128639i
\(683\) 11.7811 10.2084i 0.450793 0.390614i −0.399662 0.916663i \(-0.630872\pi\)
0.850455 + 0.526048i \(0.176327\pi\)
\(684\) 15.4462 + 19.2585i 0.590599 + 0.736369i
\(685\) 17.7986 5.22613i 0.680048 0.199680i
\(686\) −6.90275 + 15.1149i −0.263548 + 0.577090i
\(687\) −0.355058 + 0.341812i −0.0135463 + 0.0130409i
\(688\) 1.00627 + 1.56579i 0.0383638 + 0.0596952i
\(689\) 28.6020 1.08965
\(690\) −7.20628 + 4.13153i −0.274338 + 0.157284i
\(691\) 3.45676 0.131501 0.0657507 0.997836i \(-0.479056\pi\)
0.0657507 + 0.997836i \(0.479056\pi\)
\(692\) −10.1607 15.8104i −0.386252 0.601020i
\(693\) −0.173708 1.65167i −0.00659863 0.0627419i
\(694\) −1.24882 + 2.73453i −0.0474044 + 0.103801i
\(695\) −12.2442 + 3.59522i −0.464449 + 0.136374i
\(696\) 6.68352 + 1.58752i 0.253338 + 0.0601750i
\(697\) 18.4634 15.9986i 0.699352 0.605992i
\(698\) 12.6567 1.81976i 0.479064 0.0688790i
\(699\) −16.4610 22.8834i −0.622614 0.865529i
\(700\) −1.03609 0.897775i −0.0391605 0.0339327i
\(701\) −26.9091 17.2934i −1.01634 0.653163i −0.0773151 0.997007i \(-0.524635\pi\)
−0.939027 + 0.343843i \(0.888271\pi\)
\(702\) −27.6118 + 18.3113i −1.04214 + 0.691115i
\(703\) −2.73700 + 3.15866i −0.103228 + 0.119131i
\(704\) 0.387449 + 0.113765i 0.0146025 + 0.00428769i
\(705\) 7.86429 13.7734i 0.296186 0.518736i
\(706\) 21.3144 + 24.5982i 0.802179 + 0.925764i
\(707\) 7.31741 + 16.0229i 0.275200 + 0.602603i
\(708\) 0.803296 + 0.317133i 0.0301897 + 0.0119186i
\(709\) 6.52880 + 2.98160i 0.245194 + 0.111976i 0.534222 0.845344i \(-0.320605\pi\)
−0.289028 + 0.957321i \(0.593332\pi\)
\(710\) 0.740412 5.14968i 0.0277872 0.193264i
\(711\) −22.7836 + 24.3581i −0.854452 + 0.913499i
\(712\) 2.90858i 0.109004i
\(713\) −2.29633 + 1.60830i −0.0859984 + 0.0602314i
\(714\) 8.35070 10.7242i 0.312517 0.401342i
\(715\) 2.16602 1.39202i 0.0810045 0.0520584i
\(716\) 19.2836 + 2.77257i 0.720663 + 0.103616i
\(717\) −21.6702 + 11.3036i −0.809288 + 0.422139i
\(718\) −8.64613 29.4460i −0.322671 1.09892i
\(719\) −9.50565 + 4.34108i −0.354501 + 0.161895i −0.584702 0.811248i \(-0.698789\pi\)
0.230202 + 0.973143i \(0.426061\pi\)
\(720\) −1.71667 + 2.46030i −0.0639763 + 0.0916899i
\(721\) −0.0270196 0.187925i −0.00100626 0.00699871i
\(722\) 13.7259 46.7460i 0.510824 1.73971i
\(723\) −8.49646 + 1.67984i −0.315987 + 0.0624738i
\(724\) −5.97844 + 9.30264i −0.222187 + 0.345730i
\(725\) 2.14423 3.33649i 0.0796348 0.123914i
\(726\) −18.4137 + 3.64057i −0.683396 + 0.135114i
\(727\) −1.75247 + 5.96835i −0.0649954 + 0.221354i −0.985586 0.169175i \(-0.945890\pi\)
0.920591 + 0.390529i \(0.127708\pi\)
\(728\) −1.24403 8.65243i −0.0461069 0.320681i
\(729\) 3.07244 26.8246i 0.113794 0.993504i
\(730\) −9.94576 + 4.54208i −0.368109 + 0.168110i
\(731\) 3.00156 + 10.2224i 0.111017 + 0.378088i
\(732\) 8.61741 4.49499i 0.318509 0.166140i
\(733\) 24.2811 + 3.49110i 0.896844 + 0.128947i 0.575295 0.817946i \(-0.304887\pi\)
0.321549 + 0.946893i \(0.395796\pi\)
\(734\) 28.7117 18.4519i 1.05977 0.681072i
\(735\) 5.44898 6.99770i 0.200988 0.258114i
\(736\) −4.71612 + 0.870769i −0.173838 + 0.0320970i
\(737\) 1.09112i 0.0401919i
\(738\) 9.35110 + 8.74666i 0.344219 + 0.321969i
\(739\) −4.98729 + 34.6874i −0.183461 + 1.27600i 0.665042 + 0.746806i \(0.268413\pi\)
−0.848503 + 0.529191i \(0.822496\pi\)
\(740\) −0.461992 0.210985i −0.0169832 0.00775595i
\(741\) 84.5333 + 33.3728i 3.10541 + 1.22598i
\(742\) −2.55467 5.59394i −0.0937848 0.205360i
\(743\) 21.0635 + 24.3086i 0.772744 + 0.891794i 0.996563 0.0828363i \(-0.0263979\pi\)
−0.223819 + 0.974631i \(0.571852\pi\)
\(744\) −0.502050 + 0.879281i −0.0184060 + 0.0322360i
\(745\) −2.31671 0.680248i −0.0848778 0.0249224i
\(746\) −19.9093 + 22.9765i −0.728930 + 0.841230i
\(747\) −10.4001 + 31.0077i −0.380520 + 1.13451i
\(748\) 1.94448 + 1.24964i 0.0710972 + 0.0456914i
\(749\) 5.56742 + 4.82419i 0.203429 + 0.176272i
\(750\) 1.01144 + 1.40606i 0.0369325 + 0.0513419i
\(751\) 12.0076 1.72643i 0.438163 0.0629983i 0.0802962 0.996771i \(-0.474413\pi\)
0.357866 + 0.933773i \(0.383504\pi\)
\(752\) 6.92042 5.99658i 0.252362 0.218673i
\(753\) 13.2887 + 3.15644i 0.484268 + 0.115027i
\(754\) 24.2643 7.12464i 0.883653 0.259464i
\(755\) −0.521247 + 1.14137i −0.0189701 + 0.0415388i
\(756\) 6.04753 + 3.76475i 0.219946 + 0.136923i
\(757\) −2.34534 3.64942i −0.0852427 0.132640i 0.796014 0.605278i \(-0.206938\pi\)
−0.881257 + 0.472638i \(0.843302\pi\)
\(758\) −27.0440 −0.982284
\(759\) −2.64289 + 2.06548i −0.0959309 + 0.0749722i
\(760\) 8.22918 0.298504
\(761\) 2.63228 + 4.09591i 0.0954202 + 0.148477i 0.885682 0.464293i \(-0.153692\pi\)
−0.790261 + 0.612770i \(0.790055\pi\)
\(762\) 19.7179 18.9822i 0.714303 0.687653i
\(763\) −5.08075 + 11.1253i −0.183935 + 0.402762i
\(764\) 7.78590 2.28615i 0.281684 0.0827099i
\(765\) −13.3958 + 10.7440i −0.484328 + 0.388451i
\(766\) −4.35898 + 3.77708i −0.157496 + 0.136471i
\(767\) 3.14693 0.452460i 0.113629 0.0163374i
\(768\) −1.40606 + 1.01144i −0.0507366 + 0.0364972i
\(769\) 1.52299 + 1.31968i 0.0549204 + 0.0475888i 0.681889 0.731456i \(-0.261159\pi\)
−0.626968 + 0.779045i \(0.715704\pi\)
\(770\) −0.465713 0.299296i −0.0167831 0.0107859i
\(771\) 8.47458 + 24.1112i 0.305204 + 0.868342i
\(772\) 13.1447 15.1698i 0.473088 0.545973i
\(773\) −36.7030 10.7770i −1.32011 0.387620i −0.455580 0.890195i \(-0.650568\pi\)
−0.864534 + 0.502574i