Properties

Label 403.2.bl.b.16.19
Level 403
Weight 2
Character 403.16
Analytic conductor 3.218
Analytic rank 0
Dimension 280
CM No

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Newspace parameters

Level: \( N \) = \( 403 = 13 \cdot 31 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 403.bl (of order \(15\) and degree \(8\))

Newform invariants

Self dual: No
Analytic conductor: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(280\)
Relative dimension: \(35\) over \(\Q(\zeta_{15})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 16.19
Character \(\chi\) = 403.16
Dual form 403.2.bl.b.126.19

$q$-expansion

\(f(q)\) \(=\) \(q+(0.192109 + 0.0855325i) q^{2} +(0.298908 - 2.84392i) q^{3} +(-1.30867 - 1.45343i) q^{4} -1.10354 q^{5} +(0.300670 - 0.520777i) q^{6} +(0.556681 + 0.618257i) q^{7} +(-0.257059 - 0.791146i) q^{8} +(-5.06408 - 1.07640i) q^{9} +O(q^{10})\) \(q+(0.192109 + 0.0855325i) q^{2} +(0.298908 - 2.84392i) q^{3} +(-1.30867 - 1.45343i) q^{4} -1.10354 q^{5} +(0.300670 - 0.520777i) q^{6} +(0.556681 + 0.618257i) q^{7} +(-0.257059 - 0.791146i) q^{8} +(-5.06408 - 1.07640i) q^{9} +(-0.212000 - 0.0943885i) q^{10} +(-4.31024 + 0.916169i) q^{11} +(-4.52460 + 3.28731i) q^{12} +(0.218340 - 3.59893i) q^{13} +(0.0540625 + 0.166387i) q^{14} +(-0.329856 + 3.13837i) q^{15} +(-0.390584 + 3.71616i) q^{16} +(7.87533 + 1.67395i) q^{17} +(-0.880789 - 0.639930i) q^{18} +(0.249921 + 2.37784i) q^{19} +(1.44417 + 1.60391i) q^{20} +(1.92467 - 1.39835i) q^{21} +(-0.906399 - 0.192661i) q^{22} +(3.02162 - 3.35585i) q^{23} +(-2.32679 + 0.494574i) q^{24} -3.78220 q^{25} +(0.349771 - 0.672713i) q^{26} +(-1.92391 + 5.92120i) q^{27} +(0.170079 - 1.61819i) q^{28} +(-4.50948 - 2.00775i) q^{29} +(-0.331801 + 0.574697i) q^{30} +(-5.03931 - 2.36755i) q^{31} +(-1.22475 + 2.12132i) q^{32} +(1.31715 + 12.5318i) q^{33} +(1.36975 + 0.995179i) q^{34} +(-0.614319 - 0.682271i) q^{35} +(5.06274 + 8.76892i) q^{36} +(-2.54264 - 4.40398i) q^{37} +(-0.155371 + 0.478182i) q^{38} +(-10.1698 - 1.69669i) q^{39} +(0.283674 + 0.873060i) q^{40} +(-5.21095 - 2.32006i) q^{41} +(0.489352 - 0.104015i) q^{42} +(-1.14508 - 10.8947i) q^{43} +(6.97227 + 5.06565i) q^{44} +(5.58841 + 1.18785i) q^{45} +(0.867516 - 0.386243i) q^{46} +(8.60198 + 6.24970i) q^{47} +(10.4517 + 2.22158i) q^{48} +(0.659351 - 6.27331i) q^{49} +(-0.726596 - 0.323501i) q^{50} +(7.11458 - 21.8964i) q^{51} +(-5.51652 + 4.39248i) q^{52} +(-1.81384 - 5.58243i) q^{53} +(-0.876057 + 0.972960i) q^{54} +(4.75651 - 1.01103i) q^{55} +(0.346032 - 0.599344i) q^{56} +6.83709 q^{57} +(-0.694584 - 0.771414i) q^{58} +(-0.609134 + 0.271204i) q^{59} +(4.99307 - 3.62768i) q^{60} +(-4.31867 + 7.48016i) q^{61} +(-0.765596 - 0.885854i) q^{62} +(-2.15358 - 3.73012i) q^{63} +(5.62926 - 4.08990i) q^{64} +(-0.240947 + 3.97156i) q^{65} +(-0.818841 + 2.52013i) q^{66} +(4.02837 + 6.97734i) q^{67} +(-7.87325 - 13.6369i) q^{68} +(-8.64057 - 9.59633i) q^{69} +(-0.0596601 - 0.183615i) q^{70} +(11.4606 + 2.43603i) q^{71} +(0.450174 + 4.28312i) q^{72} +(1.75622 - 5.40508i) q^{73} +(-0.111781 - 1.06352i) q^{74} +(-1.13053 + 10.7563i) q^{75} +(3.12895 - 3.47505i) q^{76} +(-2.96586 - 2.15482i) q^{77} +(-1.80859 - 1.19580i) q^{78} +(0.0574871 + 0.176927i) q^{79} +(0.431024 - 4.10092i) q^{80} +(2.07548 + 0.924061i) q^{81} +(-0.802630 - 0.891411i) q^{82} +(12.2559 - 8.90441i) q^{83} +(-4.55116 - 0.967380i) q^{84} +(-8.69073 - 1.84727i) q^{85} +(0.711869 - 2.19091i) q^{86} +(-7.05779 + 12.2244i) q^{87} +(1.83281 + 3.17452i) q^{88} +(-10.6165 + 2.25660i) q^{89} +(0.971984 + 0.706188i) q^{90} +(2.34661 - 1.86847i) q^{91} -8.83179 q^{92} +(-8.23942 + 13.6237i) q^{93} +(1.11797 + 1.93638i) q^{94} +(-0.275798 - 2.62404i) q^{95} +(5.66678 + 4.11716i) q^{96} +(-1.69502 - 1.88251i) q^{97} +(0.663240 - 1.14876i) q^{98} +22.8135 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 280q + q^{2} + 39q^{4} - 8q^{5} - 2q^{7} + 12q^{8} + 29q^{9} + O(q^{10}) \) \( 280q + q^{2} + 39q^{4} - 8q^{5} - 2q^{7} + 12q^{8} + 29q^{9} - 21q^{10} - q^{11} - 16q^{12} - 54q^{14} - 27q^{15} + 31q^{16} + 2q^{17} - 10q^{18} + 5q^{19} - 3q^{20} + 68q^{21} - 39q^{22} - 7q^{23} + 48q^{24} + 200q^{25} + 6q^{26} - 78q^{27} + 30q^{28} - 16q^{29} - 66q^{30} - 62q^{31} - 56q^{32} - 20q^{33} - 126q^{34} - 37q^{35} - 140q^{36} - 36q^{37} + 4q^{38} + 28q^{39} - 158q^{40} - 4q^{41} + 16q^{42} - 16q^{43} + 42q^{44} - 46q^{45} - 29q^{46} + 8q^{47} - 36q^{48} + 43q^{49} - 5q^{50} - 134q^{51} - q^{52} + 8q^{53} + 44q^{54} - 55q^{55} - 42q^{56} + 140q^{57} + 38q^{58} - 23q^{59} + 38q^{60} + 40q^{61} + 19q^{62} - 146q^{63} - 68q^{64} + 2q^{65} + 6q^{66} + 46q^{67} + 86q^{68} - 32q^{69} - 4q^{70} + 60q^{71} + 73q^{72} - 12q^{73} - 44q^{74} + 16q^{75} - 70q^{76} + 10q^{77} - 142q^{78} + 134q^{79} - 72q^{80} - 18q^{81} + 28q^{82} - 88q^{83} + 81q^{84} - 69q^{85} + 188q^{86} - 28q^{87} + 42q^{88} + 12q^{89} + 22q^{90} + 67q^{91} - 324q^{92} - 25q^{93} - 62q^{94} + 16q^{95} + 276q^{96} + 16q^{97} + 76q^{98} - 60q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{1}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.192109 + 0.0855325i 0.135842 + 0.0604806i 0.473532 0.880777i \(-0.342979\pi\)
−0.337690 + 0.941257i \(0.609646\pi\)
\(3\) 0.298908 2.84392i 0.172574 1.64194i −0.475037 0.879966i \(-0.657565\pi\)
0.647611 0.761971i \(-0.275768\pi\)
\(4\) −1.30867 1.45343i −0.654336 0.726713i
\(5\) −1.10354 −0.493518 −0.246759 0.969077i \(-0.579366\pi\)
−0.246759 + 0.969077i \(0.579366\pi\)
\(6\) 0.300670 0.520777i 0.122748 0.212606i
\(7\) 0.556681 + 0.618257i 0.210406 + 0.233679i 0.839105 0.543969i \(-0.183079\pi\)
−0.628700 + 0.777648i \(0.716412\pi\)
\(8\) −0.257059 0.791146i −0.0908840 0.279712i
\(9\) −5.06408 1.07640i −1.68803 0.358801i
\(10\) −0.212000 0.0943885i −0.0670403 0.0298483i
\(11\) −4.31024 + 0.916169i −1.29959 + 0.276235i −0.805198 0.593006i \(-0.797941\pi\)
−0.494387 + 0.869242i \(0.664608\pi\)
\(12\) −4.52460 + 3.28731i −1.30614 + 0.948965i
\(13\) 0.218340 3.59893i 0.0605567 0.998165i
\(14\) 0.0540625 + 0.166387i 0.0144488 + 0.0444689i
\(15\) −0.329856 + 3.13837i −0.0851685 + 0.810324i
\(16\) −0.390584 + 3.71616i −0.0976459 + 0.929039i
\(17\) 7.87533 + 1.67395i 1.91005 + 0.405993i 0.999964 0.00843182i \(-0.00268396\pi\)
0.910083 + 0.414425i \(0.136017\pi\)
\(18\) −0.880789 0.639930i −0.207604 0.150833i
\(19\) 0.249921 + 2.37784i 0.0573358 + 0.545514i 0.985056 + 0.172237i \(0.0550994\pi\)
−0.927720 + 0.373277i \(0.878234\pi\)
\(20\) 1.44417 + 1.60391i 0.322926 + 0.358646i
\(21\) 1.92467 1.39835i 0.419997 0.305146i
\(22\) −0.906399 0.192661i −0.193245 0.0410755i
\(23\) 3.02162 3.35585i 0.630051 0.699743i −0.340607 0.940206i \(-0.610633\pi\)
0.970658 + 0.240463i \(0.0772992\pi\)
\(24\) −2.32679 + 0.494574i −0.474954 + 0.100955i
\(25\) −3.78220 −0.756440
\(26\) 0.349771 0.672713i 0.0685958 0.131930i
\(27\) −1.92391 + 5.92120i −0.370258 + 1.13954i
\(28\) 0.170079 1.61819i 0.0321419 0.305809i
\(29\) −4.50948 2.00775i −0.837389 0.372830i −0.0571917 0.998363i \(-0.518215\pi\)
−0.780197 + 0.625534i \(0.784881\pi\)
\(30\) −0.331801 + 0.574697i −0.0605784 + 0.104925i
\(31\) −5.03931 2.36755i −0.905088 0.425225i
\(32\) −1.22475 + 2.12132i −0.216507 + 0.375001i
\(33\) 1.31715 + 12.5318i 0.229286 + 2.18151i
\(34\) 1.36975 + 0.995179i 0.234910 + 0.170672i
\(35\) −0.614319 0.682271i −0.103839 0.115325i
\(36\) 5.06274 + 8.76892i 0.843790 + 1.46149i
\(37\) −2.54264 4.40398i −0.418007 0.724009i 0.577732 0.816227i \(-0.303938\pi\)
−0.995739 + 0.0922174i \(0.970605\pi\)
\(38\) −0.155371 + 0.478182i −0.0252044 + 0.0775713i
\(39\) −10.1698 1.69669i −1.62847 0.271688i
\(40\) 0.283674 + 0.873060i 0.0448528 + 0.138043i
\(41\) −5.21095 2.32006i −0.813813 0.362333i −0.0427453 0.999086i \(-0.513610\pi\)
−0.771068 + 0.636753i \(0.780277\pi\)
\(42\) 0.489352 0.104015i 0.0755086 0.0160498i
\(43\) −1.14508 10.8947i −0.174622 1.66142i −0.634115 0.773239i \(-0.718635\pi\)
0.459493 0.888182i \(-0.348031\pi\)
\(44\) 6.97227 + 5.06565i 1.05111 + 0.763675i
\(45\) 5.58841 + 1.18785i 0.833070 + 0.177075i
\(46\) 0.867516 0.386243i 0.127908 0.0569484i
\(47\) 8.60198 + 6.24970i 1.25473 + 0.911613i 0.998486 0.0549998i \(-0.0175158\pi\)
0.256241 + 0.966613i \(0.417516\pi\)
\(48\) 10.4517 + 2.22158i 1.50857 + 0.320657i
\(49\) 0.659351 6.27331i 0.0941930 0.896187i
\(50\) −0.726596 0.323501i −0.102756 0.0457500i
\(51\) 7.11458 21.8964i 0.996241 3.06611i
\(52\) −5.51652 + 4.39248i −0.765004 + 0.609127i
\(53\) −1.81384 5.58243i −0.249150 0.766806i −0.994926 0.100609i \(-0.967921\pi\)
0.745776 0.666197i \(-0.232079\pi\)
\(54\) −0.876057 + 0.972960i −0.119216 + 0.132403i
\(55\) 4.75651 1.01103i 0.641368 0.136327i
\(56\) 0.346032 0.599344i 0.0462404 0.0800908i
\(57\) 6.83709 0.905594
\(58\) −0.694584 0.771414i −0.0912034 0.101292i
\(59\) −0.609134 + 0.271204i −0.0793024 + 0.0353077i −0.446005 0.895031i \(-0.647153\pi\)
0.366702 + 0.930338i \(0.380487\pi\)
\(60\) 4.99307 3.62768i 0.644602 0.468331i
\(61\) −4.31867 + 7.48016i −0.552950 + 0.957737i 0.445110 + 0.895476i \(0.353164\pi\)
−0.998060 + 0.0622610i \(0.980169\pi\)
\(62\) −0.765596 0.885854i −0.0972308 0.112504i
\(63\) −2.15358 3.73012i −0.271326 0.469951i
\(64\) 5.62926 4.08990i 0.703657 0.511237i
\(65\) −0.240947 + 3.97156i −0.0298858 + 0.492612i
\(66\) −0.818841 + 2.52013i −0.100792 + 0.310207i
\(67\) 4.02837 + 6.97734i 0.492143 + 0.852417i 0.999959 0.00904836i \(-0.00288022\pi\)
−0.507816 + 0.861466i \(0.669547\pi\)
\(68\) −7.87325 13.6369i −0.954772 1.65371i
\(69\) −8.64057 9.59633i −1.04020 1.15526i
\(70\) −0.0596601 0.183615i −0.00713074 0.0219462i
\(71\) 11.4606 + 2.43603i 1.36012 + 0.289103i 0.829502 0.558504i \(-0.188625\pi\)
0.530623 + 0.847608i \(0.321958\pi\)
\(72\) 0.450174 + 4.28312i 0.0530535 + 0.504771i
\(73\) 1.75622 5.40508i 0.205550 0.632617i −0.794141 0.607734i \(-0.792079\pi\)
0.999690 0.0248831i \(-0.00792136\pi\)
\(74\) −0.111781 1.06352i −0.0129942 0.123632i
\(75\) −1.13053 + 10.7563i −0.130542 + 1.24203i
\(76\) 3.12895 3.47505i 0.358915 0.398616i
\(77\) −2.96586 2.15482i −0.337991 0.245565i
\(78\) −1.80859 1.19580i −0.204783 0.135398i
\(79\) 0.0574871 + 0.176927i 0.00646780 + 0.0199058i 0.954238 0.299047i \(-0.0966688\pi\)
−0.947771 + 0.318953i \(0.896669\pi\)
\(80\) 0.431024 4.10092i 0.0481900 0.458497i
\(81\) 2.07548 + 0.924061i 0.230608 + 0.102673i
\(82\) −0.802630 0.891411i −0.0886357 0.0984399i
\(83\) 12.2559 8.90441i 1.34526 0.977386i 0.346023 0.938226i \(-0.387532\pi\)
0.999233 0.0391598i \(-0.0124681\pi\)
\(84\) −4.55116 0.967380i −0.496573 0.105550i
\(85\) −8.69073 1.84727i −0.942642 0.200365i
\(86\) 0.711869 2.19091i 0.0767628 0.236252i
\(87\) −7.05779 + 12.2244i −0.756674 + 1.31060i
\(88\) 1.83281 + 3.17452i 0.195378 + 0.338404i
\(89\) −10.6165 + 2.25660i −1.12534 + 0.239199i −0.732739 0.680509i \(-0.761759\pi\)
−0.392603 + 0.919708i \(0.628425\pi\)
\(90\) 0.971984 + 0.706188i 0.102456 + 0.0744388i
\(91\) 2.34661 1.86847i 0.245992 0.195869i
\(92\) −8.83179 −0.920778
\(93\) −8.23942 + 13.6237i −0.854388 + 1.41271i
\(94\) 1.11797 + 1.93638i 0.115309 + 0.199722i
\(95\) −0.275798 2.62404i −0.0282962 0.269221i
\(96\) 5.66678 + 4.11716i 0.578364 + 0.420206i
\(97\) −1.69502 1.88251i −0.172103 0.191140i 0.650923 0.759144i \(-0.274382\pi\)
−0.823025 + 0.568005i \(0.807716\pi\)
\(98\) 0.663240 1.14876i 0.0669973 0.116043i
\(99\) 22.8135 2.29285
\(100\) 4.94966 + 5.49715i 0.494966 + 0.549715i
\(101\) 0.509270 0.565602i 0.0506743 0.0562795i −0.717275 0.696790i \(-0.754611\pi\)
0.767949 + 0.640511i \(0.221277\pi\)
\(102\) 3.23963 3.59798i 0.320772 0.356253i
\(103\) 11.8221 8.58928i 1.16487 0.846327i 0.174484 0.984660i \(-0.444174\pi\)
0.990386 + 0.138333i \(0.0441744\pi\)
\(104\) −2.90341 + 0.752399i −0.284702 + 0.0737788i
\(105\) −2.12395 + 1.54314i −0.207276 + 0.150595i
\(106\) 0.129024 1.22758i 0.0125319 0.119233i
\(107\) 1.79615 1.99483i 0.173641 0.192848i −0.650042 0.759898i \(-0.725249\pi\)
0.823683 + 0.567050i \(0.191916\pi\)
\(108\) 11.1238 4.95264i 1.07039 0.476568i
\(109\) −0.256839 0.186605i −0.0246007 0.0178735i 0.575417 0.817860i \(-0.304840\pi\)
−0.600018 + 0.799987i \(0.704840\pi\)
\(110\) 1.00025 + 0.212609i 0.0953697 + 0.0202715i
\(111\) −13.2846 + 5.91467i −1.26091 + 0.561395i
\(112\) −2.51497 + 1.82723i −0.237642 + 0.172657i
\(113\) 5.15644 + 5.72681i 0.485077 + 0.538733i 0.935147 0.354261i \(-0.115267\pi\)
−0.450070 + 0.892993i \(0.648601\pi\)
\(114\) 1.31347 + 0.584793i 0.123017 + 0.0547709i
\(115\) −3.33448 + 3.70331i −0.310941 + 0.345335i
\(116\) 2.98331 + 9.18168i 0.276993 + 0.852497i
\(117\) −4.97960 + 17.9903i −0.460364 + 1.66320i
\(118\) −0.140217 −0.0129080
\(119\) 3.34912 + 5.80084i 0.307013 + 0.531762i
\(120\) 2.56770 0.545782i 0.234398 0.0498228i
\(121\) 7.68977 3.42371i 0.699070 0.311246i
\(122\) −1.46945 + 1.06762i −0.133038 + 0.0966579i
\(123\) −8.15566 + 14.1260i −0.735371 + 1.27370i
\(124\) 3.15374 + 10.4226i 0.283214 + 0.935979i
\(125\) 9.69150 0.866834
\(126\) −0.0946770 0.900791i −0.00843450 0.0802489i
\(127\) 1.08867 10.3580i 0.0966034 0.919120i −0.833672 0.552259i \(-0.813766\pi\)
0.930276 0.366861i \(-0.119568\pi\)
\(128\) 6.22318 1.32278i 0.550057 0.116918i
\(129\) −31.3258 −2.75808
\(130\) −0.385986 + 0.742365i −0.0338532 + 0.0651097i
\(131\) −3.23937 + 9.96976i −0.283025 + 0.871062i 0.703958 + 0.710241i \(0.251414\pi\)
−0.986984 + 0.160821i \(0.948586\pi\)
\(132\) 16.4903 18.3144i 1.43530 1.59406i
\(133\) −1.33099 + 1.47822i −0.115412 + 0.128178i
\(134\) 0.177097 + 1.68497i 0.0152989 + 0.145559i
\(135\) 2.12311 6.53427i 0.182729 0.562381i
\(136\) −0.700082 6.66084i −0.0600315 0.571162i
\(137\) 15.4125 6.86208i 1.31678 0.586267i 0.376419 0.926450i \(-0.377155\pi\)
0.940360 + 0.340182i \(0.110489\pi\)
\(138\) −0.839136 2.58259i −0.0714320 0.219845i
\(139\) 2.34684 1.04488i 0.199056 0.0886256i −0.304787 0.952420i \(-0.598585\pi\)
0.503844 + 0.863795i \(0.331919\pi\)
\(140\) −0.187688 + 1.78574i −0.0158626 + 0.150922i
\(141\) 20.3448 22.5952i 1.71334 1.90286i
\(142\) 1.99333 + 1.44824i 0.167277 + 0.121534i
\(143\) 2.35613 + 15.7123i 0.197030 + 1.31393i
\(144\) 5.97803 18.3985i 0.498169 1.53321i
\(145\) 4.97638 + 2.21563i 0.413266 + 0.183998i
\(146\) 0.799696 0.888153i 0.0661833 0.0735040i
\(147\) −17.6437 3.75028i −1.45523 0.309318i
\(148\) −3.07338 + 9.45889i −0.252630 + 0.777516i
\(149\) −2.08877 + 3.61785i −0.171119 + 0.296386i −0.938811 0.344432i \(-0.888071\pi\)
0.767693 + 0.640818i \(0.221405\pi\)
\(150\) −1.13720 + 1.96968i −0.0928517 + 0.160824i
\(151\) −2.91702 + 8.97766i −0.237384 + 0.730591i 0.759413 + 0.650609i \(0.225486\pi\)
−0.996796 + 0.0799823i \(0.974514\pi\)
\(152\) 1.81697 0.808969i 0.147376 0.0656160i
\(153\) −38.0794 16.9541i −3.07854 1.37065i
\(154\) −0.385461 0.667638i −0.0310613 0.0537998i
\(155\) 5.56108 + 2.61269i 0.446677 + 0.209856i
\(156\) 10.8429 + 17.0015i 0.868128 + 1.36121i
\(157\) −1.98008 + 1.43861i −0.158028 + 0.114814i −0.663989 0.747742i \(-0.731138\pi\)
0.505961 + 0.862556i \(0.331138\pi\)
\(158\) −0.00408922 + 0.0389063i −0.000325321 + 0.00309522i
\(159\) −16.4181 + 3.48978i −1.30204 + 0.276758i
\(160\) 1.35156 2.34096i 0.106850 0.185069i
\(161\) 3.75686 0.296082
\(162\) 0.319681 + 0.355042i 0.0251165 + 0.0278947i
\(163\) −8.66178 1.84112i −0.678443 0.144207i −0.144213 0.989547i \(-0.546065\pi\)
−0.534230 + 0.845339i \(0.679398\pi\)
\(164\) 3.44737 + 10.6099i 0.269195 + 0.828496i
\(165\) −1.45352 13.8293i −0.113157 1.07661i
\(166\) 3.11608 0.662344i 0.241855 0.0514078i
\(167\) 18.3746 + 8.18090i 1.42187 + 0.633057i 0.966364 0.257177i \(-0.0827923\pi\)
0.455504 + 0.890234i \(0.349459\pi\)
\(168\) −1.60105 1.16323i −0.123524 0.0897455i
\(169\) −12.9047 1.57158i −0.992666 0.120891i
\(170\) −1.51157 1.09822i −0.115932 0.0842295i
\(171\) 1.29389 12.3106i 0.0989466 0.941414i
\(172\) −14.3361 + 15.9218i −1.09311 + 1.21403i
\(173\) 1.55647 0.692986i 0.118336 0.0526868i −0.346714 0.937971i \(-0.612703\pi\)
0.465051 + 0.885284i \(0.346036\pi\)
\(174\) −2.40145 + 1.74476i −0.182054 + 0.132270i
\(175\) −2.10548 2.33837i −0.159159 0.176764i
\(176\) −1.72112 16.3753i −0.129734 1.23434i
\(177\) 0.589206 + 1.81339i 0.0442875 + 0.136303i
\(178\) −2.23253 0.474539i −0.167335 0.0355682i
\(179\) 19.5023 4.14534i 1.45767 0.309837i 0.590172 0.807278i \(-0.299060\pi\)
0.867498 + 0.497440i \(0.165727\pi\)
\(180\) −5.58693 9.67685i −0.416425 0.721269i
\(181\) −5.78178 −0.429756 −0.214878 0.976641i \(-0.568935\pi\)
−0.214878 + 0.976641i \(0.568935\pi\)
\(182\) 0.610621 0.158238i 0.0452622 0.0117294i
\(183\) 19.9821 + 14.5178i 1.47712 + 1.07319i
\(184\) −3.43170 1.52789i −0.252988 0.112638i
\(185\) 2.80590 + 4.85996i 0.206294 + 0.357311i
\(186\) −2.74814 + 1.91250i −0.201503 + 0.140232i
\(187\) −35.4782 −2.59442
\(188\) −2.17368 20.6812i −0.158532 1.50833i
\(189\) −4.73183 + 2.10675i −0.344190 + 0.153243i
\(190\) 0.171457 0.527692i 0.0124388 0.0382828i
\(191\) −5.29234 + 9.16660i −0.382940 + 0.663272i −0.991481 0.130251i \(-0.958422\pi\)
0.608541 + 0.793522i \(0.291755\pi\)
\(192\) −9.94870 17.2316i −0.717985 1.24359i
\(193\) −22.2265 + 4.72440i −1.59990 + 0.340070i −0.919598 0.392860i \(-0.871486\pi\)
−0.680304 + 0.732930i \(0.738152\pi\)
\(194\) −0.164613 0.506626i −0.0118185 0.0363736i
\(195\) 11.2228 + 1.87236i 0.803680 + 0.134083i
\(196\) −9.98067 + 7.25138i −0.712905 + 0.517956i
\(197\) −14.6350 + 3.11076i −1.04270 + 0.221633i −0.697267 0.716811i \(-0.745601\pi\)
−0.345432 + 0.938444i \(0.612268\pi\)
\(198\) 4.38269 + 1.95130i 0.311464 + 0.138673i
\(199\) 20.6639 9.20015i 1.46482 0.652182i 0.489308 0.872111i \(-0.337249\pi\)
0.975516 + 0.219930i \(0.0705828\pi\)
\(200\) 0.972248 + 2.99227i 0.0687483 + 0.211586i
\(201\) 21.0471 9.37076i 1.48455 0.660963i
\(202\) 0.146213 0.0650981i 0.0102875 0.00458029i
\(203\) −1.26904 3.90569i −0.0890689 0.274126i
\(204\) −41.1355 + 18.3147i −2.88006 + 1.28229i
\(205\) 5.75048 + 2.56028i 0.401631 + 0.178818i
\(206\) 3.00580 0.638903i 0.209424 0.0445145i
\(207\) −18.9140 + 13.7418i −1.31461 + 0.955121i
\(208\) 13.2889 + 2.21707i 0.921421 + 0.153726i
\(209\) −3.25572 10.0201i −0.225203 0.693104i
\(210\) −0.540018 + 0.114784i −0.0372648 + 0.00792088i
\(211\) −3.14280 5.44349i −0.216359 0.374746i 0.737333 0.675530i \(-0.236085\pi\)
−0.953692 + 0.300784i \(0.902752\pi\)
\(212\) −5.73993 + 9.94185i −0.394220 + 0.682809i
\(213\) 10.3535 31.8649i 0.709412 2.18335i
\(214\) 0.515681 0.229596i 0.0352512 0.0156948i
\(215\) 1.26363 + 12.0227i 0.0861792 + 0.819940i
\(216\) 5.17909 0.352392
\(217\) −1.34154 4.43357i −0.0910694 0.300970i
\(218\) −0.0333804 0.0578166i −0.00226081 0.00391583i
\(219\) −14.8467 6.61016i −1.00324 0.446673i
\(220\) −7.69417 5.59014i −0.518741 0.376887i
\(221\) 7.74395 27.9773i 0.520914 1.88196i
\(222\) −3.05798 −0.205238
\(223\) 10.1362 + 17.5564i 0.678771 + 1.17567i 0.975351 + 0.220658i \(0.0708206\pi\)
−0.296580 + 0.955008i \(0.595846\pi\)
\(224\) −1.99332 + 0.423693i −0.133184 + 0.0283092i
\(225\) 19.1534 + 4.07117i 1.27689 + 0.271412i
\(226\) 0.500771 + 1.54122i 0.0333108 + 0.102520i
\(227\) −1.50840 14.3515i −0.100116 0.952543i −0.923121 0.384509i \(-0.874371\pi\)
0.823005 0.568034i \(-0.192296\pi\)
\(228\) −8.94750 9.93720i −0.592562 0.658107i
\(229\) 12.0008 8.71908i 0.793034 0.576173i −0.115828 0.993269i \(-0.536952\pi\)
0.908862 + 0.417096i \(0.136952\pi\)
\(230\) −0.957337 + 0.426234i −0.0631249 + 0.0281050i
\(231\) −7.01465 + 7.79056i −0.461530 + 0.512581i
\(232\) −0.429221 + 4.08376i −0.0281797 + 0.268112i
\(233\) 6.34716 + 4.61148i 0.415816 + 0.302108i 0.775952 0.630791i \(-0.217270\pi\)
−0.360136 + 0.932900i \(0.617270\pi\)
\(234\) −2.49538 + 3.03018i −0.163128 + 0.198089i
\(235\) −9.49262 6.89679i −0.619230 0.449897i
\(236\) 1.19133 + 0.530414i 0.0775490 + 0.0345270i
\(237\) 0.520349 0.110604i 0.0338003 0.00718448i
\(238\) 0.147236 + 1.40085i 0.00954387 + 0.0908038i
\(239\) 4.60231 + 14.1645i 0.297699 + 0.916222i 0.982302 + 0.187306i \(0.0599756\pi\)
−0.684603 + 0.728916i \(0.740024\pi\)
\(240\) −11.5338 2.45159i −0.744506 0.158250i
\(241\) −3.37871 3.75243i −0.217642 0.241716i 0.624431 0.781080i \(-0.285331\pi\)
−0.842072 + 0.539365i \(0.818664\pi\)
\(242\) 1.77012 0.113787
\(243\) −6.09055 + 10.5491i −0.390709 + 0.676728i
\(244\) 16.5236 3.51220i 1.05781 0.224845i
\(245\) −0.727620 + 6.92284i −0.0464859 + 0.442284i
\(246\) −2.77501 + 2.01616i −0.176928 + 0.128546i
\(247\) 8.61226 0.380271i 0.547985 0.0241961i
\(248\) −0.577679 + 4.59543i −0.0366827 + 0.291810i
\(249\) −21.6600 37.5163i −1.37265 2.37750i
\(250\) 1.86183 + 0.828939i 0.117752 + 0.0524267i
\(251\) 0.789133 0.351345i 0.0498096 0.0221767i −0.381681 0.924294i \(-0.624655\pi\)
0.431490 + 0.902118i \(0.357988\pi\)
\(252\) −2.60312 + 8.01157i −0.163981 + 0.504682i
\(253\) −9.94937 + 17.2328i −0.625512 + 1.08342i
\(254\) 1.09509 1.89674i 0.0687118 0.119012i
\(255\) −7.85122 + 24.1636i −0.491662 + 1.51318i
\(256\) −12.3035 2.61519i −0.768970 0.163450i
\(257\) 7.58827 8.42763i 0.473343 0.525701i −0.458435 0.888728i \(-0.651590\pi\)
0.931779 + 0.363027i \(0.118257\pi\)
\(258\) −6.01797 2.67937i −0.374663 0.166811i
\(259\) 1.30735 4.02361i 0.0812349 0.250015i
\(260\) 6.08770 4.84727i 0.377543 0.300615i
\(261\) 20.6752 + 15.0214i 1.27976 + 0.929802i
\(262\) −1.47505 + 1.63821i −0.0911291 + 0.101209i
\(263\) 0.896436 8.52902i 0.0552766 0.525922i −0.931489 0.363769i \(-0.881490\pi\)
0.986766 0.162152i \(-0.0518436\pi\)
\(264\) 9.57590 4.26346i 0.589356 0.262398i
\(265\) 2.00164 + 6.16043i 0.122960 + 0.378432i
\(266\) −0.382131 + 0.170136i −0.0234300 + 0.0104317i
\(267\) 3.24424 + 30.8668i 0.198544 + 1.88902i
\(268\) 4.86924 14.9860i 0.297436 0.915414i
\(269\) 0.396805 + 3.77534i 0.0241936 + 0.230187i 0.999937 + 0.0112672i \(0.00358655\pi\)
−0.975743 + 0.218920i \(0.929747\pi\)
\(270\) 0.966763 1.07370i 0.0588353 0.0653432i
\(271\) −9.81303 + 10.8985i −0.596099 + 0.662035i −0.963400 0.268067i \(-0.913615\pi\)
0.367301 + 0.930102i \(0.380282\pi\)
\(272\) −9.29664 + 28.6121i −0.563692 + 1.73487i
\(273\) −4.61235 7.23207i −0.279152 0.437705i
\(274\) 3.54781 0.214331
\(275\) 16.3022 3.46514i 0.983059 0.208956i
\(276\) −2.63989 + 25.1169i −0.158903 + 1.51186i
\(277\) 2.58138 + 24.5602i 0.155100 + 1.47568i 0.744385 + 0.667751i \(0.232743\pi\)
−0.589285 + 0.807925i \(0.700590\pi\)
\(278\) 0.540221 0.0324003
\(279\) 22.9710 + 17.4138i 1.37524 + 1.04254i
\(280\) −0.381859 + 0.661400i −0.0228205 + 0.0395262i
\(281\) −4.87415 + 3.54127i −0.290767 + 0.211255i −0.723600 0.690219i \(-0.757514\pi\)
0.432833 + 0.901474i \(0.357514\pi\)
\(282\) 5.84106 2.60061i 0.347830 0.154864i
\(283\) −26.3265 + 5.59587i −1.56495 + 0.332640i −0.907233 0.420628i \(-0.861810\pi\)
−0.657714 + 0.753268i \(0.728477\pi\)
\(284\) −11.4576 19.8451i −0.679883 1.17759i
\(285\) −7.54499 −0.446927
\(286\) −0.891277 + 3.22000i −0.0527023 + 0.190403i
\(287\) −1.46644 4.51324i −0.0865613 0.266408i
\(288\) 8.48561 9.42423i 0.500019 0.555328i
\(289\) 43.6884 + 19.4513i 2.56991 + 1.14420i
\(290\) 0.766501 + 0.851285i 0.0450105 + 0.0499892i
\(291\) −5.86035 + 4.25779i −0.343540 + 0.249596i
\(292\) −10.1542 + 4.52094i −0.594230 + 0.264568i
\(293\) 18.6121 + 3.95613i 1.08733 + 0.231120i 0.716505 0.697582i \(-0.245741\pi\)
0.370828 + 0.928702i \(0.379074\pi\)
\(294\) −3.06874 2.22957i −0.178973 0.130031i
\(295\) 0.672202 0.299284i 0.0391371 0.0174250i
\(296\) −2.83058 + 3.14368i −0.164524 + 0.182722i
\(297\) 2.86771 27.2844i 0.166401 1.58320i
\(298\) −0.710716 + 0.516365i −0.0411707 + 0.0299122i
\(299\) −11.4177 11.6073i −0.660305 0.671269i
\(300\) 17.1129 12.4333i 0.988016 0.717836i
\(301\) 6.09826 6.77281i 0.351498 0.390378i
\(302\) −1.32827 + 1.47519i −0.0764332 + 0.0848877i
\(303\) −1.45630 1.61738i −0.0836622 0.0929163i
\(304\) −8.93404 −0.512402
\(305\) 4.76582 8.25465i 0.272890 0.472660i
\(306\) −5.86529 6.51406i −0.335296 0.372384i
\(307\) −9.66082 7.01900i −0.551372 0.400595i 0.276919 0.960893i \(-0.410687\pi\)
−0.828291 + 0.560298i \(0.810687\pi\)
\(308\) 0.749457 + 7.13061i 0.0427043 + 0.406304i
\(309\) −20.8935 36.1886i −1.18859 2.05870i
\(310\) 0.844865 + 0.977574i 0.0479851 + 0.0555225i
\(311\) 13.3373 0.756292 0.378146 0.925746i \(-0.376562\pi\)
0.378146 + 0.925746i \(0.376562\pi\)
\(312\) 1.27191 + 8.48195i 0.0720077 + 0.480196i
\(313\) −9.04829 6.57396i −0.511439 0.371582i 0.301930 0.953330i \(-0.402369\pi\)
−0.813369 + 0.581748i \(0.802369\pi\)
\(314\) −0.503440 + 0.107009i −0.0284108 + 0.00603890i
\(315\) 2.37656 + 4.11633i 0.133904 + 0.231929i
\(316\) 0.181919 0.315093i 0.0102337 0.0177253i
\(317\) 4.49645 13.8387i 0.252546 0.777257i −0.741757 0.670668i \(-0.766007\pi\)
0.994303 0.106588i \(-0.0339926\pi\)
\(318\) −3.45257 0.733866i −0.193610 0.0411532i
\(319\) 21.2763 + 4.52243i 1.19125 + 0.253207i
\(320\) −6.21210 + 4.51336i −0.347267 + 0.252304i
\(321\) −5.13625 5.70438i −0.286677 0.318388i
\(322\) 0.721727 + 0.321334i 0.0402203 + 0.0179072i
\(323\) −2.01218 + 19.1446i −0.111961 + 1.06524i
\(324\) −1.37306 4.22584i −0.0762811 0.234769i
\(325\) −0.825807 + 13.6119i −0.0458075 + 0.755052i
\(326\) −1.50653 1.09456i −0.0834391 0.0606221i
\(327\) −0.607459 + 0.674652i −0.0335926 + 0.0373083i
\(328\) −0.495988 + 4.71901i −0.0273864 + 0.260564i
\(329\) 0.924637 + 8.79733i 0.0509769 + 0.485013i
\(330\) 0.903623 2.78107i 0.0497428 0.153093i
\(331\) −2.67260 25.4281i −0.146899 1.39765i −0.781061 0.624454i \(-0.785321\pi\)
0.634162 0.773200i \(-0.281345\pi\)
\(332\) −28.9808 6.16006i −1.59053 0.338077i
\(333\) 8.13566 + 25.0390i 0.445831 + 1.37213i
\(334\) 2.83020 + 3.14325i 0.154861 + 0.171991i
\(335\) −4.44546 7.69976i −0.242881 0.420683i
\(336\) 4.44476 + 7.69854i 0.242481 + 0.419990i
\(337\) −5.77977 + 17.7883i −0.314844 + 0.968990i 0.660975 + 0.750408i \(0.270143\pi\)
−0.975819 + 0.218582i \(0.929857\pi\)
\(338\) −2.34468 1.40568i −0.127534 0.0764591i
\(339\) 17.8279 12.9527i 0.968277 0.703494i
\(340\) 8.68843 + 15.0488i 0.471196 + 0.816136i
\(341\) 23.8897 + 5.58785i 1.29370 + 0.302599i
\(342\) 1.30152 2.25431i 0.0703784 0.121899i
\(343\) 8.95698 6.50763i 0.483632 0.351379i
\(344\) −8.32491 + 3.70649i −0.448849 + 0.199841i
\(345\) 9.53521 + 10.5899i 0.513358 + 0.570142i
\(346\) 0.358286 0.0192616
\(347\) 5.89330 10.2075i 0.316369 0.547967i −0.663359 0.748302i \(-0.730870\pi\)
0.979728 + 0.200335i \(0.0642030\pi\)
\(348\) 27.0037 5.73981i 1.44755 0.307686i
\(349\) 5.34147 5.93231i 0.285922 0.317549i −0.583024 0.812455i \(-0.698131\pi\)
0.868947 + 0.494906i \(0.164797\pi\)
\(350\) −0.204475 0.629311i −0.0109297 0.0336381i
\(351\) 20.8899 + 8.21688i 1.11502 + 0.438585i
\(352\) 3.33546 10.2655i 0.177780 0.547152i
\(353\) −23.8941 10.6383i −1.27175 0.566221i −0.343843 0.939027i \(-0.611729\pi\)
−0.927909 + 0.372806i \(0.878396\pi\)
\(354\) −0.0419119 + 0.398765i −0.00222759 + 0.0211941i
\(355\) −12.6472 2.68825i −0.671245 0.142678i
\(356\) 17.1732 + 12.4771i 0.910180 + 0.661285i
\(357\) 17.4982 7.79069i 0.926102 0.412327i
\(358\) 4.10113 + 0.871723i 0.216752 + 0.0460720i
\(359\) −6.53059 4.74475i −0.344672 0.250419i 0.401959 0.915658i \(-0.368330\pi\)
−0.746630 + 0.665239i \(0.768330\pi\)
\(360\) −0.496785 4.72659i −0.0261829 0.249113i
\(361\) 12.9931 2.76178i 0.683849 0.145357i
\(362\) −1.11073 0.494530i −0.0583788 0.0259919i
\(363\) −7.43821 22.8925i −0.390405 1.20154i
\(364\) −5.78663 0.965418i −0.303302 0.0506017i
\(365\) −1.93805 + 5.96472i −0.101442 + 0.312208i
\(366\) 2.59700 + 4.49813i 0.135747 + 0.235121i
\(367\) −3.90751 6.76800i −0.203970 0.353287i 0.745834 0.666132i \(-0.232051\pi\)
−0.949804 + 0.312845i \(0.898718\pi\)
\(368\) 11.2907 + 12.5396i 0.588567 + 0.653669i
\(369\) 23.8913 + 17.3581i 1.24373 + 0.903624i
\(370\) 0.123354 + 1.17364i 0.00641289 + 0.0610146i
\(371\) 2.44165 4.22906i 0.126764 0.219562i
\(372\) 30.5838 5.85358i 1.58569 0.303494i
\(373\) 0.0283109 0.0490360i 0.00146588 0.00253899i −0.865292 0.501269i \(-0.832867\pi\)
0.866757 + 0.498730i \(0.166200\pi\)
\(374\) −6.81568 3.03454i −0.352431 0.156912i
\(375\) 2.89686 27.5618i 0.149593 1.42329i
\(376\) 2.73321 8.41196i 0.140955 0.433814i
\(377\) −8.21036 + 15.7909i −0.422855 + 0.813275i
\(378\) −1.08922 −0.0560237
\(379\) −26.4769 + 5.62784i −1.36003 + 0.289083i −0.829463 0.558561i \(-0.811353\pi\)
−0.530565 + 0.847644i \(0.678020\pi\)
\(380\) −3.45292 + 3.83486i −0.177131 + 0.196724i
\(381\) −29.1318 6.19215i −1.49247 0.317233i
\(382\) −1.80075 + 1.30832i −0.0921344 + 0.0669395i
\(383\) 6.17165 + 6.85431i 0.315356 + 0.350239i 0.879895 0.475168i \(-0.157613\pi\)
−0.564539 + 0.825407i \(0.690946\pi\)
\(384\) −1.90172 18.0936i −0.0970465 0.923336i
\(385\) 3.27294 + 2.37793i 0.166804 + 0.121190i
\(386\) −4.67402 0.993493i −0.237901 0.0505674i
\(387\) −5.92830 + 56.4040i −0.301352 + 2.86718i
\(388\) −0.517866 + 4.92716i −0.0262907 + 0.250139i
\(389\) 0.106812 + 0.328735i 0.00541560 + 0.0166675i 0.953728 0.300671i \(-0.0972107\pi\)
−0.948312 + 0.317339i \(0.897211\pi\)
\(390\) 1.99585 + 1.31961i 0.101064 + 0.0668211i
\(391\) 29.4138 21.3704i 1.48752 1.08075i
\(392\) −5.13259 + 1.09097i −0.259235 + 0.0551021i
\(393\) 27.3849 + 12.1925i 1.38139 + 0.615033i
\(394\) −3.07759 0.654161i −0.155047 0.0329562i
\(395\) −0.0634392 0.195246i −0.00319197 0.00982389i
\(396\) −29.8554 33.1578i −1.50029 1.66624i
\(397\) 18.2012 31.5254i 0.913492 1.58222i 0.104399 0.994536i \(-0.466708\pi\)
0.809094 0.587680i \(-0.199958\pi\)
\(398\) 4.75664 0.238429
\(399\) 3.80608 + 4.22708i 0.190542 + 0.211619i
\(400\) 1.47727 14.0553i 0.0738633 0.702763i
\(401\) 16.3038 + 7.25891i 0.814172 + 0.362493i 0.771208 0.636584i \(-0.219653\pi\)
0.0429647 + 0.999077i \(0.486320\pi\)
\(402\) 4.84484 0.241639
\(403\) −9.62095 + 17.6192i −0.479254 + 0.877676i
\(404\) −1.48853 −0.0740570
\(405\) −2.29037 1.01974i −0.113809 0.0506712i
\(406\) 0.0902702 0.858864i 0.00448004 0.0426247i
\(407\) 14.9942 + 16.6527i 0.743232 + 0.825443i
\(408\) −19.1521 −0.948172
\(409\) −0.771000 + 1.33541i −0.0381235 + 0.0660318i −0.884458 0.466621i \(-0.845471\pi\)
0.846334 + 0.532652i \(0.178805\pi\)
\(410\) 0.885733 + 0.983707i 0.0437433 + 0.0485818i
\(411\) −14.9083 45.8830i −0.735372 2.26324i
\(412\) −27.9552 5.94206i −1.37725 0.292744i
\(413\) −0.506767 0.225627i −0.0249364 0.0111024i
\(414\) −4.80892 + 1.02217i −0.236346 + 0.0502368i
\(415\) −13.5248 + 9.82636i −0.663907 + 0.482357i
\(416\) 7.36709 + 4.87095i 0.361201 + 0.238818i
\(417\) −2.27006 6.98654i −0.111166 0.342132i
\(418\) 0.231589 2.20342i 0.0113274 0.107773i
\(419\) −1.32368 + 12.5940i −0.0646662 + 0.615258i 0.913414 + 0.407031i \(0.133436\pi\)
−0.978081 + 0.208227i \(0.933231\pi\)
\(420\) 5.02239 + 1.06754i 0.245067 + 0.0520907i
\(421\) −2.85968 2.07768i −0.139372 0.101260i 0.515915 0.856640i \(-0.327452\pi\)
−0.655287 + 0.755380i \(0.727452\pi\)
\(422\) −0.138166 1.31456i −0.00672579 0.0639916i
\(423\) −36.8339 40.9082i −1.79093 1.98902i
\(424\) −3.95025 + 2.87003i −0.191841 + 0.139381i
\(425\) −29.7861 6.33123i −1.44484 0.307110i
\(426\) 4.71449 5.23598i 0.228418 0.253684i
\(427\) −7.02879 + 1.49402i −0.340147 + 0.0723005i
\(428\) −5.24991 −0.253764
\(429\) 45.3887 2.00412i 2.19139 0.0967600i
\(430\) −0.785575 + 2.41775i −0.0378838 + 0.116594i
\(431\) 0.172002 1.63649i 0.00828506 0.0788271i −0.989598 0.143860i \(-0.954049\pi\)
0.997883 + 0.0650328i \(0.0207152\pi\)
\(432\) −21.2527 9.46229i −1.02252 0.455255i
\(433\) 0.106577 0.184597i 0.00512176 0.00887115i −0.863453 0.504429i \(-0.831703\pi\)
0.868575 + 0.495558i \(0.165036\pi\)
\(434\) 0.121493 0.966474i 0.00583184 0.0463922i
\(435\) 7.78854 13.4902i 0.373432 0.646803i
\(436\) 0.0649019 + 0.617501i 0.00310824 + 0.0295729i
\(437\) 8.73484 + 6.34623i 0.417844 + 0.303582i
\(438\) −2.28680 2.53975i −0.109267 0.121354i
\(439\) 2.17247 + 3.76284i 0.103687 + 0.179590i 0.913201 0.407510i \(-0.133603\pi\)
−0.809514 + 0.587100i \(0.800269\pi\)
\(440\) −2.02257 3.50320i −0.0964224 0.167009i
\(441\) −10.0916 + 31.0588i −0.480553 + 1.47899i
\(442\) 3.88065 4.71234i 0.184584 0.224143i
\(443\) −2.12637 6.54430i −0.101027 0.310929i 0.887750 0.460325i \(-0.152267\pi\)
−0.988777 + 0.149396i \(0.952267\pi\)
\(444\) 25.9816 + 11.5678i 1.23303 + 0.548982i
\(445\) 11.7157 2.49024i 0.555376 0.118049i
\(446\) 0.445614 + 4.23973i 0.0211004 + 0.200757i
\(447\) 9.66452 + 7.02169i 0.457116 + 0.332114i
\(448\) 5.66231 + 1.20356i 0.267519 + 0.0568629i
\(449\) −7.58774 + 3.37828i −0.358088 + 0.159431i −0.577892 0.816113i \(-0.696125\pi\)
0.219805 + 0.975544i \(0.429458\pi\)
\(450\) 3.33132 + 2.42035i 0.157040 + 0.114096i
\(451\) 24.5860 + 5.22591i 1.15771 + 0.246079i
\(452\) 1.57541 14.9890i 0.0741010 0.705024i
\(453\) 24.6598 + 10.9792i 1.15862 + 0.515850i
\(454\) 0.937742 2.88607i 0.0440104 0.135450i
\(455\) −2.58958 + 2.06193i −0.121401 + 0.0966647i
\(456\) −1.75753 5.40913i −0.0823040 0.253306i
\(457\) 20.1788 22.4108i 0.943924 1.04833i −0.0548337 0.998496i \(-0.517463\pi\)
0.998757 0.0498379i \(-0.0158705\pi\)
\(458\) 3.05123 0.648558i 0.142574 0.0303051i
\(459\) −25.0633 + 43.4109i −1.16985 + 2.02625i
\(460\) 9.74622 0.454420
\(461\) −0.330829 0.367422i −0.0154082 0.0171126i 0.735391 0.677643i \(-0.236998\pi\)
−0.750800 + 0.660530i \(0.770332\pi\)
\(462\) −2.01393 + 0.896657i −0.0936963 + 0.0417163i
\(463\) −14.8957 + 10.8223i −0.692261 + 0.502957i −0.877403 0.479755i \(-0.840726\pi\)
0.185142 + 0.982712i \(0.440726\pi\)
\(464\) 9.22243 15.9737i 0.428141 0.741561i
\(465\) 9.09251 15.0343i 0.421655 0.697199i
\(466\) 0.824917 + 1.42880i 0.0382135 + 0.0661878i
\(467\) −14.6833 + 10.6681i −0.679463 + 0.493659i −0.873180 0.487399i \(-0.837946\pi\)
0.193716 + 0.981058i \(0.437946\pi\)
\(468\) 32.6642 16.3059i 1.50990 0.753739i
\(469\) −2.07127 + 6.37472i −0.0956425 + 0.294357i
\(470\) −1.23372 2.13686i −0.0569072 0.0985662i
\(471\) 3.49943 + 6.06120i 0.161245 + 0.279285i
\(472\) 0.371145 + 0.412198i 0.0170833 + 0.0189729i
\(473\) 14.9169 + 45.9095i 0.685880 + 2.11092i
\(474\) 0.109424 + 0.0232588i 0.00502602 + 0.00106831i
\(475\) −0.945252 8.99347i −0.0433711 0.412649i
\(476\) 4.04820 12.4591i 0.185549 0.571061i
\(477\) 3.17649 + 30.2223i 0.145442 + 1.38378i
\(478\) −0.327376 + 3.11477i −0.0149738 + 0.142466i
\(479\) 14.4181 16.0129i 0.658779 0.731648i −0.317478 0.948266i \(-0.602836\pi\)
0.976256 + 0.216618i \(0.0695025\pi\)
\(480\) −6.25351 4.54344i −0.285433 0.207379i
\(481\) −16.4048 + 8.18922i −0.747994 + 0.373396i
\(482\) −0.328126 1.00987i −0.0149457 0.0459982i
\(483\) 1.12295 10.6842i 0.0510962 0.486148i
\(484\) −15.0395 6.69601i −0.683613 0.304364i
\(485\) 1.87052 + 2.07742i 0.0849358 + 0.0943307i
\(486\) −2.07235 + 1.50565i −0.0940035 + 0.0682975i
\(487\) 26.5785 + 5.64944i 1.20439 + 0.256001i 0.766033 0.642801i \(-0.222228\pi\)
0.438355 + 0.898802i \(0.355561\pi\)
\(488\) 7.02805 + 1.49386i 0.318145 + 0.0676238i
\(489\) −7.82506 + 24.0831i −0.353861 + 1.08907i
\(490\) −0.731911 + 1.26771i −0.0330643 + 0.0572691i
\(491\) 7.76317 + 13.4462i 0.350347 + 0.606819i 0.986310 0.164901i \(-0.0527303\pi\)
−0.635963 + 0.771719i \(0.719397\pi\)
\(492\) 31.2042 6.63266i 1.40679 0.299023i
\(493\) −32.1527 23.3603i −1.44809 1.05210i
\(494\) 1.68702 + 0.663575i 0.0759026 + 0.0298556i
\(495\) −25.1756 −1.13156
\(496\) 10.7665 17.8021i 0.483429 0.799340i
\(497\) 4.87382 + 8.44170i 0.218621 + 0.378662i
\(498\) −0.952230 9.05986i −0.0426704 0.405982i
\(499\) 25.4362 + 18.4805i 1.13868 + 0.827301i 0.986935 0.161118i \(-0.0515099\pi\)
0.151748 + 0.988419i \(0.451510\pi\)
\(500\) −12.6830 14.0859i −0.567200 0.629940i
\(501\) 28.7581 49.8105i 1.28482 2.22537i
\(502\) 0.181651 0.00810749
\(503\) 1.59308 + 1.76930i 0.0710320 + 0.0788891i 0.777613 0.628743i \(-0.216430\pi\)
−0.706581 + 0.707632i \(0.749764\pi\)
\(504\) −2.39747 + 2.66266i −0.106792 + 0.118604i
\(505\) −0.561999 + 0.624163i −0.0250086 + 0.0277749i
\(506\) −3.38533 + 2.45959i −0.150496 + 0.109342i
\(507\) −8.32676 + 36.2300i −0.369804 + 1.60903i
\(508\) −16.4792 + 11.9729i −0.731148 + 0.531210i
\(509\) −0.278330 + 2.64813i −0.0123368 + 0.117376i −0.998957 0.0456581i \(-0.985462\pi\)
0.986620 + 0.163035i \(0.0521282\pi\)
\(510\) −3.57506 + 3.97051i −0.158306 + 0.175817i
\(511\) 4.31939 1.92311i 0.191078 0.0850736i
\(512\) −12.4342 9.03398i −0.549520 0.399249i
\(513\) −14.5605 3.09493i −0.642862 0.136644i
\(514\) 2.17861 0.969981i 0.0960945 0.0427840i
\(515\) −13.0462 + 9.47860i −0.574883 + 0.417677i
\(516\) 40.9952 + 45.5297i 1.80471 + 2.00433i
\(517\) −42.8024 19.0568i −1.88245 0.838119i
\(518\) 0.595304 0.661153i 0.0261562 0.0290494i
\(519\) −1.50555 4.63362i −0.0660865 0.203393i
\(520\) 3.20402 0.830301i 0.140506 0.0364111i
\(521\) −22.2862 −0.976377 −0.488189 0.872738i \(-0.662342\pi\)
−0.488189 + 0.872738i \(0.662342\pi\)
\(522\) 2.68708 + 4.65415i 0.117610 + 0.203707i
\(523\) 8.25702 1.75508i 0.361054 0.0767445i −0.0238128 0.999716i \(-0.507581\pi\)
0.384867 + 0.922972i \(0.374247\pi\)
\(524\) 18.7296 8.33895i 0.818206 0.364289i
\(525\) −7.27949 + 5.28886i −0.317703 + 0.230825i
\(526\) 0.901722 1.56183i 0.0393170 0.0680990i
\(527\) −35.7231 27.0808i −1.55612 1.17966i
\(528\) −47.0846 −2.04909
\(529\) 0.272618 + 2.59379i 0.0118530 + 0.112774i
\(530\) −0.142383 + 1.35468i −0.00618471 + 0.0588436i
\(531\) 3.37662 0.717724i 0.146533 0.0311466i
\(532\) 3.89031 0.168666
\(533\) −9.48751 + 18.2473i −0.410950 + 0.790378i
\(534\) −2.01687 + 6.20729i −0.0872786 + 0.268616i
\(535\) −1.98212 + 2.20137i −0.0856947 + 0.0951736i
\(536\) 4.48456 4.98061i 0.193704 0.215130i
\(537\) −5.95962 56.7020i −0.257177 2.44687i
\(538\) −0.246685 + 0.759218i −0.0106353 + 0.0327322i
\(539\) 2.90545 + 27.6435i 0.125147 + 1.19069i
\(540\) −12.2755 + 5.46542i −0.528255 + 0.235194i
\(541\) 6.89483 + 21.2201i 0.296432 + 0.912324i 0.982737 + 0.185010i \(0.0592317\pi\)
−0.686305 + 0.727314i \(0.740768\pi\)
\(542\) −2.81735 + 1.25436i −0.121015 + 0.0538796i
\(543\) −1.72822 + 16.4429i −0.0741650 + 0.705633i
\(544\) −13.1963 + 14.6560i −0.565786 + 0.628369i
\(545\) 0.283432 + 0.205925i 0.0121409 + 0.00882087i
\(546\) −0.267498 1.78385i −0.0114478 0.0763419i
\(547\) 5.72633 17.6238i 0.244840 0.753541i −0.750822 0.660504i \(-0.770343\pi\)
0.995663 0.0930369i \(-0.0296575\pi\)
\(548\) −30.1434 13.4207i −1.28766 0.573305i
\(549\) 29.9218 33.2315i 1.27703 1.41829i
\(550\) 3.42818 + 0.728683i 0.146178 + 0.0310711i
\(551\) 3.64709 11.2246i 0.155371 0.478184i
\(552\) −5.37096 + 9.30277i −0.228603 + 0.395952i
\(553\) −0.0773845 + 0.134034i −0.00329072 + 0.00569970i
\(554\) −1.60479 + 4.93902i −0.0681808 + 0.209839i
\(555\) 14.6600 6.52706i 0.622283 0.277058i
\(556\) −4.58990 2.04355i −0.194655 0.0866660i
\(557\) −8.14439 14.1065i −0.345089 0.597712i 0.640281 0.768141i \(-0.278818\pi\)
−0.985370 + 0.170429i \(0.945485\pi\)
\(558\) 2.92350 + 5.31013i 0.123762 + 0.224796i
\(559\) −39.4592 + 1.74231i −1.66895 + 0.0736917i
\(560\) 2.77537 2.01642i 0.117281 0.0852094i
\(561\) −10.6047 + 100.897i −0.447731 + 4.25987i
\(562\) −1.23926 + 0.263413i −0.0522751 + 0.0111114i
\(563\) 3.40854 5.90377i 0.143653 0.248814i −0.785217 0.619221i \(-0.787448\pi\)
0.928870 + 0.370407i \(0.120782\pi\)
\(564\) −59.4652 −2.50394
\(565\) −5.69033 6.31975i −0.239394 0.265874i
\(566\) −5.53619 1.17675i −0.232703 0.0494627i
\(567\) 0.584071 + 1.79759i 0.0245287 + 0.0754915i
\(568\) −1.01880 9.69322i −0.0427478 0.406718i
\(569\) −27.1750 + 5.77624i −1.13924 + 0.242152i −0.738639 0.674101i \(-0.764531\pi\)
−0.400598 + 0.916254i \(0.631198\pi\)
\(570\) −1.44946 0.645342i −0.0607113 0.0270304i
\(571\) 19.8989 + 14.4574i 0.832742 + 0.605023i 0.920334 0.391134i \(-0.127917\pi\)
−0.0875916 + 0.996156i \(0.527917\pi\)
\(572\) 19.7533 23.9867i 0.825925 1.00293i
\(573\) 24.4871 + 17.7909i 1.02296 + 0.743227i
\(574\) 0.104312 0.992464i 0.00435391 0.0414246i
\(575\) −11.4284 + 12.6925i −0.476596 + 0.529314i
\(576\) −32.9094 + 14.6522i −1.37122 + 0.610508i
\(577\) 36.0304 26.1776i 1.49997 1.08979i 0.529572 0.848265i \(-0.322353\pi\)
0.970395 0.241525i \(-0.0776475\pi\)
\(578\) 6.72923 + 7.47356i 0.279899 + 0.310859i
\(579\) 6.79211 + 64.6226i 0.282271 + 2.68562i
\(580\) −3.29220 10.1323i −0.136701 0.420722i
\(581\) 12.3278 + 2.62036i 0.511444 + 0.108711i
\(582\) −1.49001 + 0.316711i −0.0617628 + 0.0131281i
\(583\) 12.9325 + 22.3998i 0.535611 + 0.927705i
\(584\) −4.72766 −0.195632
\(585\) 5.49518 19.8529i 0.227198 0.820818i
\(586\) 3.23719 + 2.35195i 0.133727 + 0.0971583i
\(587\) −22.5718 10.0496i −0.931640 0.414793i −0.115932 0.993257i \(-0.536986\pi\)
−0.815708 + 0.578464i \(0.803652\pi\)
\(588\) 17.6390 + 30.5517i 0.727421 + 1.25993i
\(589\) 4.37023 12.5744i 0.180072 0.518119i
\(590\) 0.154735 0.00637033
\(591\) 4.47224 + 42.5505i 0.183963 + 1.75029i
\(592\) 17.3590 7.72871i 0.713449 0.317648i
\(593\) −4.71646 + 14.5158i −0.193682 + 0.596091i 0.806308 + 0.591496i \(0.201463\pi\)
−0.999989 + 0.00459465i \(0.998537\pi\)
\(594\) 2.88462 4.99630i 0.118357 0.205001i
\(595\) −3.69588 6.40145i −0.151516 0.262434i
\(596\) 7.99179 1.69871i 0.327357 0.0695818i
\(597\) −19.9879 61.5164i −0.818049 2.51770i
\(598\) −1.20065 3.20646i −0.0490982 0.131122i
\(599\) −30.0207 + 21.8113i −1.22661 + 0.891185i −0.996632 0.0820100i \(-0.973866\pi\)
−0.229980 + 0.973195i \(0.573866\pi\)
\(600\) 8.80039 1.87058i 0.359274 0.0763661i
\(601\) −23.2089 10.3333i −0.946712 0.421503i −0.125479 0.992096i \(-0.540047\pi\)
−0.821233 + 0.570593i \(0.806713\pi\)
\(602\) 1.75083 0.779519i 0.0713584 0.0317708i
\(603\) −12.8895 39.6699i −0.524903 1.61548i
\(604\) 16.8658 7.50913i 0.686259 0.305542i
\(605\) −8.48596 + 3.77819i −0.345003 + 0.153605i
\(606\) −0.141430 0.435275i −0.00574518 0.0176819i
\(607\) 23.0110 10.2452i 0.933989 0.415839i 0.117417 0.993083i \(-0.462538\pi\)
0.816572 + 0.577244i \(0.195872\pi\)
\(608\) −5.35026 2.38209i −0.216982 0.0966065i
\(609\) −11.4868 + 2.44159i −0.465468 + 0.0989384i
\(610\) 1.62160 1.17816i 0.0656567 0.0477024i
\(611\) 24.3704 29.5934i 0.985922 1.19722i
\(612\) 25.1920 + 77.5329i 1.01833 + 3.13408i
\(613\) 3.54061 0.752579i 0.143004 0.0303964i −0.135854 0.990729i \(-0.543378\pi\)
0.278857 + 0.960333i \(0.410044\pi\)
\(614\) −1.25558 2.17473i −0.0506711 0.0877649i
\(615\) 9.00009 15.5886i 0.362919 0.628593i
\(616\) −0.942378 + 2.90034i −0.0379695 + 0.116858i
\(617\) −17.8757 + 7.95876i −0.719647 + 0.320408i −0.733681 0.679494i \(-0.762199\pi\)
0.0140338 + 0.999902i \(0.495533\pi\)
\(618\) −0.918530 8.73923i −0.0369487 0.351543i
\(619\) 2.36028 0.0948675 0.0474337 0.998874i \(-0.484896\pi\)
0.0474337 + 0.998874i \(0.484896\pi\)
\(620\) −3.48028 11.5018i −0.139771 0.461922i
\(621\) 14.0573 + 24.3480i 0.564101 + 0.977051i
\(622\) 2.56223 + 1.14078i 0.102736 + 0.0457410i
\(623\) −7.30514 5.30750i −0.292674 0.212640i
\(624\) 10.2773 37.1299i 0.411422 1.48639i
\(625\) 8.21607 0.328643
\(626\) −1.17597 2.03684i −0.0470013 0.0814086i
\(627\) −29.4695 + 6.26393i −1.17690 + 0.250157i
\(628\) 4.68219 + 0.995231i 0.186840 + 0.0397140i
\(629\) −12.6521 38.9390i −0.504470 1.55260i
\(630\) 0.104480 + 0.994058i 0.00416257 + 0.0396042i
\(631\) 26.3976 + 29.3175i 1.05087 + 1.16711i 0.985574 + 0.169246i \(0.0541331\pi\)
0.0652978 + 0.997866i \(0.479200\pi\)
\(632\) 0.125197 0.0909613i 0.00498009 0.00361825i
\(633\) −16.4203 + 7.31077i −0.652646 + 0.290577i
\(634\) 2.04747 2.27394i 0.0813153 0.0903098i
\(635\) −1.20138 + 11.4304i −0.0476755 + 0.453602i
\(636\) 26.5581 + 19.2956i 1.05310 + 0.765120i
\(637\) −22.4333 3.74268i −0.888838 0.148290i
\(638\) 3.70057 + 2.68862i 0.146507 + 0.106444i
\(639\) −55.4153 24.6725i −2.19220 0.976028i
\(640\) −6.86752 + 1.45974i −0.271463 + 0.0577012i
\(641\) −0.0453444 0.431423i −0.00179100 0.0170402i 0.993590 0.113045i \(-0.0360603\pi\)
−0.995381 + 0.0960045i \(0.969394\pi\)
\(642\) −0.498811 1.53518i −0.0196865 0.0605888i
\(643\) 11.4618 + 2.43628i 0.452009 + 0.0960775i 0.428290 0.903641i \(-0.359116\pi\)
0.0237188 + 0.999719i \(0.492449\pi\)
\(644\) −4.91649 5.46032i −0.193737 0.215167i
\(645\) 34.5692 1.36116
\(646\) −2.02405 + 3.50575i −0.0796351 + 0.137932i
\(647\) −25.1362 + 5.34287i −0.988207 + 0.210050i −0.673539 0.739152i \(-0.735227\pi\)
−0.314668 + 0.949202i \(0.601893\pi\)
\(648\) 0.197548 1.87954i 0.00776041 0.0738354i
\(649\) 2.37704 1.72702i 0.0933070 0.0677915i
\(650\) −1.32291 + 2.54434i −0.0518886 + 0.0997971i
\(651\) −13.0097 + 2.48999i −0.509890 + 0.0975904i
\(652\) 8.65949 + 14.9987i 0.339132 + 0.587394i
\(653\) 9.93380 + 4.42281i 0.388740 + 0.173078i 0.591794 0.806089i \(-0.298420\pi\)
−0.203054 + 0.979168i \(0.565087\pi\)
\(654\) −0.174403 + 0.0776493i −0.00681970 + 0.00303633i
\(655\) 3.57477 11.0020i 0.139678 0.429885i
\(656\) 10.6570 18.4585i 0.416087 0.720684i
\(657\) −14.7117 + 25.4814i −0.573957 + 0.994123i
\(658\) −0.574827 + 1.76914i −0.0224091 + 0.0689681i
\(659\) −22.4621 4.77446i −0.874998 0.185987i −0.251543 0.967846i \(-0.580938\pi\)
−0.623455 + 0.781859i \(0.714271\pi\)
\(660\) −18.1977 + 20.2106i −0.708346 + 0.786698i
\(661\) −30.4594 13.5614i −1.18473 0.527478i −0.282728 0.959200i \(-0.591239\pi\)
−0.902007 + 0.431722i \(0.857906\pi\)
\(662\) 1.66150 5.11357i 0.0645760 0.198744i
\(663\) −77.2504 30.3858i −3.00016 1.18009i
\(664\) −10.1952 7.40722i −0.395649 0.287456i
\(665\) 1.46880 1.63127i 0.0569576 0.0632578i
\(666\) −0.578713 + 5.50608i −0.0224247 + 0.213356i
\(667\) −20.3636 + 9.06647i −0.788483 + 0.351055i
\(668\) −12.1560 37.4122i −0.470329 1.44752i
\(669\) 52.9589 23.5788i 2.04751 0.911609i
\(670\) −0.195434 1.85943i −0.00755026 0.0718359i
\(671\) 11.7614 36.1979i 0.454044 1.39740i
\(672\) 0.609129 + 5.79547i 0.0234977 + 0.223565i
\(673\) 21.1423 23.4809i 0.814977 0.905123i −0.181963 0.983305i \(-0.558245\pi\)
0.996939 + 0.0781824i \(0.0249116\pi\)
\(674\) −2.63182 + 2.92294i −0.101374 + 0.112587i
\(675\) 7.27663 22.3952i 0.280078 0.861991i
\(676\) 14.6038 + 20.8127i 0.561683 + 0.800487i
\(677\) 10.3497 0.397771 0.198885 0.980023i \(-0.436268\pi\)
0.198885 + 0.980023i \(0.436268\pi\)
\(678\) 4.53278 0.963471i 0.174080 0.0370019i
\(679\) 0.220289 2.09591i 0.00845393 0.0804337i
\(680\) 0.772568 + 7.35049i 0.0296266 + 0.281878i
\(681\) −41.2654 −1.58129
\(682\) 4.11149 + 3.11683i 0.157437 + 0.119349i
\(683\) 6.12667 10.6117i 0.234431 0.406046i −0.724677 0.689089i \(-0.758011\pi\)
0.959107 + 0.283044i \(0.0913441\pi\)
\(684\) −19.5858 + 14.2299i −0.748882 + 0.544095i
\(685\) −17.0083 + 7.57258i −0.649853 + 0.289333i
\(686\) 2.27733 0.484062i 0.0869490 0.0184816i
\(687\) −21.2092 36.7354i −0.809182 1.40154i
\(688\) 40.9335 1.56058
\(689\) −20.4868 + 5.30903i −0.780486 + 0.202258i
\(690\) 0.926019 + 2.84999i 0.0352529 + 0.108497i
\(691\) −1.10769 + 1.23022i −0.0421387 + 0.0467997i −0.763846 0.645399i \(-0.776691\pi\)
0.721707 + 0.692199i \(0.243358\pi\)
\(692\) −3.04412 1.35533i −0.115720 0.0515218i
\(693\) 12.6999 + 14.1046i 0.482428 + 0.535791i
\(694\) 2.00523 1.45688i 0.0761175 0.0553026i
\(695\) −2.58983 + 1.15307i −0.0982378 + 0.0437383i
\(696\) 11.4856 + 2.44134i 0.435360 + 0.0925386i
\(697\) −37.1542 26.9941i −1.40732 1.02248i
\(698\) 1.53355 0.682781i 0.0580458 0.0258436i
\(699\) 15.0119 16.6724i 0.567802 0.630608i
\(700\) −0.643272 + 6.12033i −0.0243134 + 0.231327i
\(701\) 28.6403 20.8084i 1.08173 0.785922i 0.103745 0.994604i \(-0.466917\pi\)
0.977983 + 0.208682i \(0.0669174\pi\)
\(702\) 3.31034 + 3.36531i 0.124941 + 0.127015i
\(703\) 9.83649 7.14663i 0.370990 0.269540i
\(704\) −20.5164 + 22.7858i −0.773241 + 0.858771i
\(705\) −22.4513 + 24.9347i −0.845566 + 0.939096i
\(706\) −3.68035 4.08744i −0.138512 0.153833i
\(707\) 0.633188 0.0238135
\(708\) 1.86455 3.22950i 0.0700742 0.121372i
\(709\) −4.31130 4.78819i −0.161914 0.179824i 0.656728 0.754127i \(-0.271940\pi\)
−0.818643 + 0.574303i \(0.805273\pi\)
\(710\) −2.19972 1.59819i −0.0825539 0.0599789i
\(711\) −0.100674 0.957852i −0.00377558 0.0359222i
\(712\) 4.51435 + 7.81908i 0.169182 + 0.293033i
\(713\) −23.1721 + 9.75734i −0.867800 + 0.365415i
\(714\) 4.02792 0.150741
\(715\) −2.60009 17.3391i −0.0972377 0.648447i
\(716\) −31.5470 22.9203i −1.17897 0.856570i
\(717\) 41.6582 8.85472i 1.55575 0.330686i
\(718\) −0.848757 1.47009i −0.0316753 0.0548633i
\(719\) 0.135820 0.235247i 0.00506522 0.00877322i −0.863482 0.504380i \(-0.831721\pi\)
0.868547 + 0.495607i \(0.165054\pi\)
\(720\) −6.59698 + 20.3034i −0.245855 + 0.756664i
\(721\) 11.8915 + 2.52763i 0.442864 + 0.0941337i
\(722\) 2.73232 + 0.580773i 0.101687 + 0.0216141i
\(723\) −11.6815 + 8.48713i −0.434441 + 0.315640i
\(724\) 7.56645 + 8.40339i 0.281205 + 0.312310i
\(725\) 17.0558 + 7.59371i 0.633435 + 0.282023i
\(726\) 0.529101 5.03406i 0.0196368 0.186832i
\(727\) 3.28279 + 10.1034i 0.121752 + 0.374714i 0.993295 0.115604i \(-0.0368805\pi\)
−0.871543 + 0.490319i \(0.836880\pi\)
\(728\) −2.08145 1.37621i −0.0771436 0.0510056i
\(729\) 33.6944 + 24.4804i 1.24794 + 0.906681i
\(730\) −0.882496 + 0.980111i −0.0326626 + 0.0362755i
\(731\) 9.21931 87.7159i 0.340988 3.24429i
\(732\) −5.04937 48.0415i −0.186630 1.77567i
\(733\) −1.32267 + 4.07076i −0.0488539 + 0.150357i −0.972507 0.232872i \(-0.925188\pi\)
0.923654 + 0.383228i \(0.125188\pi\)
\(734\) −0.171784 1.63441i −0.00634066 0.0603273i
\(735\) 19.4705 + 4.13858i 0.718180 + 0.152654i
\(736\) 3.41812 + 10.5199i 0.125994 + 0.387769i
\(737\) −23.7556 26.3833i −0.875050 0.971842i
\(738\) 3.10506 + 5.37813i 0.114299 + 0.197972i
\(739\) 7.49122 + 12.9752i 0.275569 + 0.477299i 0.970278 0.241991i \(-0.0778004\pi\)
−0.694710 + 0.719290i \(0.744467\pi\)
\(740\) 3.39159 10.4383i 0.124677 0.383718i
\(741\) 1.49281 24.6062i 0.0548398 0.903932i
\(742\) 0.830785 0.603601i 0.0304991 0.0221589i
\(743\) 18.2218 + 31.5611i 0.668494 + 1.15787i 0.978325 + 0.207074i \(0.0663940\pi\)
−0.309831 + 0.950792i \(0.600273\pi\)
\(744\) 12.8964 + 3.01648i 0.472803 + 0.110590i
\(745\) 2.30504 3.99244i 0.0844500 0.146272i
\(746\) 0.00963297 0.00699876i 0.000352688 0.000256243i
\(747\) −71.6494 + 31.9004i −2.62151 + 1.16717i
\(748\) 46.4292 + 51.5649i 1.69762 + 1.88540i
\(749\) 2.23320 0.0815995
\(750\) 2.91395 5.04711i 0.106402 0.184294i
\(751\) 5.99860 1.27504i 0.218892 0.0465270i −0.0971601 0.995269i \(-0.530976\pi\)
0.316052 + 0.948742i \(0.397643\pi\)
\(752\) −26.5847 + 29.5253i −0.969443 + 1.07668i
\(753\) −0.763317 2.34925i −0.0278168 0.0856114i
\(754\) −2.92792 + 2.33133i −0.106629 + 0.0849021i
\(755\) 3.21904 9.90719i 0.117153 0.360560i