Properties

Label 144.2.x.e.85.11
Level $144$
Weight $2$
Character 144.85
Analytic conductor $1.150$
Analytic rank $0$
Dimension $72$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 144 = 2^{4} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 144.x (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.14984578911\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(18\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 85.11
Character \(\chi\) \(=\) 144.85
Dual form 144.2.x.e.61.11

$q$-expansion

\(f(q)\) \(=\) \(q+(0.268956 + 1.38840i) q^{2} +(-0.222657 - 1.71768i) q^{3} +(-1.85533 + 0.746838i) q^{4} +(2.97932 - 0.798307i) q^{5} +(2.32495 - 0.771117i) q^{6} +(1.78208 - 1.02889i) q^{7} +(-1.53591 - 2.37507i) q^{8} +(-2.90085 + 0.764906i) q^{9} +O(q^{10})\) \(q+(0.268956 + 1.38840i) q^{2} +(-0.222657 - 1.71768i) q^{3} +(-1.85533 + 0.746838i) q^{4} +(2.97932 - 0.798307i) q^{5} +(2.32495 - 0.771117i) q^{6} +(1.78208 - 1.02889i) q^{7} +(-1.53591 - 2.37507i) q^{8} +(-2.90085 + 0.764906i) q^{9} +(1.90968 + 3.92179i) q^{10} +(0.119598 - 0.446347i) q^{11} +(1.69593 + 3.02057i) q^{12} +(1.52075 + 5.67550i) q^{13} +(1.90781 + 2.19752i) q^{14} +(-2.03460 - 4.93977i) q^{15} +(2.88447 - 2.77126i) q^{16} +0.0443921 q^{17} +(-1.84220 - 3.82182i) q^{18} +(-1.10726 + 1.10726i) q^{19} +(-4.93140 + 3.70619i) q^{20} +(-2.16409 - 2.83196i) q^{21} +(0.651876 + 0.0460030i) q^{22} +(-7.89263 - 4.55681i) q^{23} +(-3.73763 + 3.16703i) q^{24} +(3.90893 - 2.25682i) q^{25} +(-7.47087 + 3.63787i) q^{26} +(1.95976 + 4.81242i) q^{27} +(-2.53793 + 3.23984i) q^{28} +(-6.95662 - 1.86402i) q^{29} +(6.31117 - 4.15343i) q^{30} +(0.542236 - 0.939180i) q^{31} +(4.62341 + 3.25946i) q^{32} +(-0.793310 - 0.106049i) q^{33} +(0.0119395 + 0.0616341i) q^{34} +(4.48803 - 4.48803i) q^{35} +(4.81076 - 3.58561i) q^{36} +(-0.769054 - 0.769054i) q^{37} +(-1.83513 - 1.23952i) q^{38} +(9.41009 - 3.87585i) q^{39} +(-6.47201 - 5.84998i) q^{40} +(5.77193 + 3.33242i) q^{41} +(3.34986 - 3.76630i) q^{42} +(-2.96351 + 11.0600i) q^{43} +(0.111455 + 0.917439i) q^{44} +(-8.03193 + 4.59467i) q^{45} +(4.20392 - 12.1837i) q^{46} +(-1.22453 - 2.12095i) q^{47} +(-5.40237 - 4.33755i) q^{48} +(-1.38279 + 2.39506i) q^{49} +(4.18471 + 4.82019i) q^{50} +(-0.00988420 - 0.0762514i) q^{51} +(-7.06016 - 9.39416i) q^{52} +(2.44801 + 2.44801i) q^{53} +(-6.15449 + 4.01526i) q^{54} -1.42529i q^{55} +(-5.18080 - 2.65230i) q^{56} +(2.14846 + 1.65538i) q^{57} +(0.716989 - 10.1599i) q^{58} +(3.59122 - 0.962265i) q^{59} +(7.46406 + 7.64537i) q^{60} +(-1.18758 - 0.318210i) q^{61} +(1.44980 + 0.500244i) q^{62} +(-4.38255 + 4.34777i) q^{63} +(-3.28195 + 7.29581i) q^{64} +(9.06158 + 15.6951i) q^{65} +(-0.0661261 - 1.12996i) q^{66} +(1.48102 + 5.52723i) q^{67} +(-0.0823618 + 0.0331537i) q^{68} +(-6.06980 + 14.5716i) q^{69} +(7.43827 + 5.02411i) q^{70} -6.88571i q^{71} +(6.27216 + 5.71490i) q^{72} -13.1963i q^{73} +(0.860915 - 1.27460i) q^{74} +(-4.74685 - 6.21180i) q^{75} +(1.22738 - 2.88127i) q^{76} +(-0.246106 - 0.918480i) q^{77} +(7.91213 + 12.0226i) q^{78} +(3.46441 + 6.00054i) q^{79} +(6.38144 - 10.5591i) q^{80} +(7.82984 - 4.43775i) q^{81} +(-3.07435 + 8.91003i) q^{82} +(-0.588112 - 0.157584i) q^{83} +(6.13010 + 3.63798i) q^{84} +(0.132258 - 0.0354385i) q^{85} +(-16.1528 - 1.13991i) q^{86} +(-1.65285 + 12.3643i) q^{87} +(-1.24380 + 0.401495i) q^{88} -5.30004i q^{89} +(-8.53948 - 9.91579i) q^{90} +(8.54954 + 8.54954i) q^{91} +(18.0466 + 2.55985i) q^{92} +(-1.73394 - 0.722273i) q^{93} +(2.61539 - 2.27059i) q^{94} +(-2.41495 + 4.18282i) q^{95} +(4.56927 - 8.66728i) q^{96} +(-5.88304 - 10.1897i) q^{97} +(-3.69722 - 1.27570i) q^{98} +(-0.00552307 + 1.38627i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72q + 4q^{2} + 2q^{3} - 2q^{4} + 4q^{5} - 28q^{6} - 8q^{8} + O(q^{10}) \) \( 72q + 4q^{2} + 2q^{3} - 2q^{4} + 4q^{5} - 28q^{6} - 8q^{8} - 20q^{10} - 2q^{11} + 8q^{12} - 16q^{13} - 4q^{14} - 20q^{15} - 10q^{16} - 16q^{17} + 28q^{19} + 12q^{20} - 16q^{21} - 8q^{22} - 40q^{24} - 4q^{26} + 8q^{27} - 16q^{28} + 4q^{29} + 18q^{30} + 28q^{31} - 46q^{32} - 32q^{33} - 14q^{34} - 16q^{35} + 14q^{36} + 16q^{37} + 2q^{38} - 10q^{40} + 26q^{42} - 10q^{43} + 60q^{44} + 40q^{45} + 20q^{46} - 56q^{47} + 2q^{48} + 4q^{49} - 36q^{50} - 54q^{51} + 6q^{52} - 8q^{53} + 92q^{54} + 52q^{56} - 14q^{58} - 14q^{59} + 18q^{60} - 32q^{61} + 16q^{62} - 108q^{63} - 44q^{64} - 64q^{65} + 26q^{66} - 18q^{67} + 16q^{68} + 32q^{69} + 14q^{70} + 114q^{72} + 38q^{74} + 86q^{75} + 10q^{76} - 36q^{77} + 16q^{78} + 44q^{79} + 144q^{80} - 44q^{81} - 88q^{82} + 20q^{83} - 58q^{84} - 8q^{85} + 76q^{86} - 42q^{88} - 80q^{91} - 68q^{92} - 4q^{93} + 20q^{94} + 48q^{95} + 94q^{96} + 40q^{97} + 88q^{98} + 28q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{1}{3}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.268956 + 1.38840i 0.190180 + 0.981749i
\(3\) −0.222657 1.71768i −0.128551 0.991703i
\(4\) −1.85533 + 0.746838i −0.927663 + 0.373419i
\(5\) 2.97932 0.798307i 1.33239 0.357014i 0.478786 0.877932i \(-0.341077\pi\)
0.853607 + 0.520918i \(0.174410\pi\)
\(6\) 2.32495 0.771117i 0.949156 0.314807i
\(7\) 1.78208 1.02889i 0.673564 0.388882i −0.123862 0.992299i \(-0.539528\pi\)
0.797426 + 0.603417i \(0.206195\pi\)
\(8\) −1.53591 2.37507i −0.543027 0.839715i
\(9\) −2.90085 + 0.764906i −0.966949 + 0.254969i
\(10\) 1.90968 + 3.92179i 0.603893 + 1.24018i
\(11\) 0.119598 0.446347i 0.0360602 0.134579i −0.945549 0.325480i \(-0.894474\pi\)
0.981609 + 0.190901i \(0.0611409\pi\)
\(12\) 1.69593 + 3.02057i 0.489573 + 0.871963i
\(13\) 1.52075 + 5.67550i 0.421779 + 1.57410i 0.770857 + 0.637008i \(0.219828\pi\)
−0.349078 + 0.937094i \(0.613505\pi\)
\(14\) 1.90781 + 2.19752i 0.509883 + 0.587313i
\(15\) −2.03460 4.93977i −0.525332 1.27544i
\(16\) 2.88447 2.77126i 0.721117 0.692814i
\(17\) 0.0443921 0.0107667 0.00538333 0.999986i \(-0.498286\pi\)
0.00538333 + 0.999986i \(0.498286\pi\)
\(18\) −1.84220 3.82182i −0.434210 0.900812i
\(19\) −1.10726 + 1.10726i −0.254023 + 0.254023i −0.822618 0.568595i \(-0.807487\pi\)
0.568595 + 0.822618i \(0.307487\pi\)
\(20\) −4.93140 + 3.70619i −1.10270 + 0.828729i
\(21\) −2.16409 2.83196i −0.472243 0.617984i
\(22\) 0.651876 + 0.0460030i 0.138980 + 0.00980788i
\(23\) −7.89263 4.55681i −1.64573 0.950161i −0.978743 0.205089i \(-0.934252\pi\)
−0.666984 0.745072i \(-0.732415\pi\)
\(24\) −3.73763 + 3.16703i −0.762941 + 0.646468i
\(25\) 3.90893 2.25682i 0.781786 0.451364i
\(26\) −7.47087 + 3.63787i −1.46516 + 0.713445i
\(27\) 1.95976 + 4.81242i 0.377155 + 0.926150i
\(28\) −2.53793 + 3.23984i −0.479624 + 0.612273i
\(29\) −6.95662 1.86402i −1.29181 0.346140i −0.453464 0.891275i \(-0.649812\pi\)
−0.838349 + 0.545134i \(0.816479\pi\)
\(30\) 6.31117 4.15343i 1.15226 0.758308i
\(31\) 0.542236 0.939180i 0.0973884 0.168682i −0.813214 0.581964i \(-0.802284\pi\)
0.910603 + 0.413282i \(0.135618\pi\)
\(32\) 4.62341 + 3.25946i 0.817312 + 0.576196i
\(33\) −0.793310 0.106049i −0.138098 0.0184608i
\(34\) 0.0119395 + 0.0616341i 0.00204761 + 0.0105702i
\(35\) 4.48803 4.48803i 0.758615 0.758615i
\(36\) 4.81076 3.58561i 0.801793 0.597602i
\(37\) −0.769054 0.769054i −0.126432 0.126432i 0.641060 0.767491i \(-0.278495\pi\)
−0.767491 + 0.641060i \(0.778495\pi\)
\(38\) −1.83513 1.23952i −0.297697 0.201077i
\(39\) 9.41009 3.87585i 1.50682 0.620632i
\(40\) −6.47201 5.84998i −1.02332 0.924962i
\(41\) 5.77193 + 3.33242i 0.901423 + 0.520437i 0.877662 0.479281i \(-0.159102\pi\)
0.0237617 + 0.999718i \(0.492436\pi\)
\(42\) 3.34986 3.76630i 0.516894 0.581153i
\(43\) −2.96351 + 11.0600i −0.451932 + 1.68663i 0.245023 + 0.969517i \(0.421204\pi\)
−0.696955 + 0.717115i \(0.745462\pi\)
\(44\) 0.111455 + 0.917439i 0.0168025 + 0.138309i
\(45\) −8.03193 + 4.59467i −1.19733 + 0.684932i
\(46\) 4.20392 12.1837i 0.619835 1.79639i
\(47\) −1.22453 2.12095i −0.178617 0.309373i 0.762790 0.646646i \(-0.223829\pi\)
−0.941407 + 0.337273i \(0.890496\pi\)
\(48\) −5.40237 4.33755i −0.779766 0.626072i
\(49\) −1.38279 + 2.39506i −0.197541 + 0.342151i
\(50\) 4.18471 + 4.82019i 0.591807 + 0.681677i
\(51\) −0.00988420 0.0762514i −0.00138406 0.0106773i
\(52\) −7.06016 9.39416i −0.979068 1.30274i
\(53\) 2.44801 + 2.44801i 0.336260 + 0.336260i 0.854958 0.518698i \(-0.173583\pi\)
−0.518698 + 0.854958i \(0.673583\pi\)
\(54\) −6.15449 + 4.01526i −0.837519 + 0.546408i
\(55\) 1.42529i 0.192186i
\(56\) −5.18080 2.65230i −0.692314 0.354428i
\(57\) 2.14846 + 1.65538i 0.284570 + 0.219260i
\(58\) 0.716989 10.1599i 0.0941453 1.33407i
\(59\) 3.59122 0.962265i 0.467537 0.125276i −0.0173563 0.999849i \(-0.505525\pi\)
0.484894 + 0.874573i \(0.338858\pi\)
\(60\) 7.46406 + 7.64537i 0.963605 + 0.987012i
\(61\) −1.18758 0.318210i −0.152054 0.0407426i 0.181989 0.983301i \(-0.441746\pi\)
−0.334043 + 0.942558i \(0.608413\pi\)
\(62\) 1.44980 + 0.500244i 0.184124 + 0.0635310i
\(63\) −4.38255 + 4.34777i −0.552149 + 0.547767i
\(64\) −3.28195 + 7.29581i −0.410243 + 0.911976i
\(65\) 9.06158 + 15.6951i 1.12395 + 1.94674i
\(66\) −0.0661261 1.12996i −0.00813956 0.139088i
\(67\) 1.48102 + 5.52723i 0.180935 + 0.675258i 0.995464 + 0.0951361i \(0.0303286\pi\)
−0.814529 + 0.580122i \(0.803005\pi\)
\(68\) −0.0823618 + 0.0331537i −0.00998783 + 0.00402048i
\(69\) −6.06980 + 14.5716i −0.730718 + 1.75422i
\(70\) 7.43827 + 5.02411i 0.889044 + 0.600496i
\(71\) 6.88571i 0.817184i −0.912717 0.408592i \(-0.866020\pi\)
0.912717 0.408592i \(-0.133980\pi\)
\(72\) 6.27216 + 5.71490i 0.739181 + 0.673507i
\(73\) 13.1963i 1.54451i −0.635312 0.772255i \(-0.719129\pi\)
0.635312 0.772255i \(-0.280871\pi\)
\(74\) 0.860915 1.27460i 0.100079 0.148169i
\(75\) −4.74685 6.21180i −0.548119 0.717276i
\(76\) 1.22738 2.88127i 0.140791 0.330505i
\(77\) −0.246106 0.918480i −0.0280464 0.104670i
\(78\) 7.91213 + 12.0226i 0.895873 + 1.36129i
\(79\) 3.46441 + 6.00054i 0.389777 + 0.675113i 0.992419 0.122898i \(-0.0392188\pi\)
−0.602643 + 0.798011i \(0.705885\pi\)
\(80\) 6.38144 10.5591i 0.713466 1.18055i
\(81\) 7.82984 4.43775i 0.869982 0.493084i
\(82\) −3.07435 + 8.91003i −0.339506 + 0.983949i
\(83\) −0.588112 0.157584i −0.0645537 0.0172971i 0.226398 0.974035i \(-0.427305\pi\)
−0.290951 + 0.956738i \(0.593972\pi\)
\(84\) 6.13010 + 3.63798i 0.668849 + 0.396936i
\(85\) 0.132258 0.0354385i 0.0143454 0.00384385i
\(86\) −16.1528 1.13991i −1.74180 0.122919i
\(87\) −1.65285 + 12.3643i −0.177205 + 1.32559i
\(88\) −1.24380 + 0.401495i −0.132589 + 0.0427995i
\(89\) 5.30004i 0.561803i −0.959737 0.280902i \(-0.909367\pi\)
0.959737 0.280902i \(-0.0906335\pi\)
\(90\) −8.53948 9.91579i −0.900140 1.04522i
\(91\) 8.54954 + 8.54954i 0.896235 + 0.896235i
\(92\) 18.0466 + 2.55985i 1.88149 + 0.266883i
\(93\) −1.73394 0.722273i −0.179802 0.0748962i
\(94\) 2.61539 2.27059i 0.269757 0.234193i
\(95\) −2.41495 + 4.18282i −0.247769 + 0.429148i
\(96\) 4.56927 8.66728i 0.466349 0.884601i
\(97\) −5.88304 10.1897i −0.597333 1.03461i −0.993213 0.116309i \(-0.962894\pi\)
0.395880 0.918302i \(-0.370439\pi\)
\(98\) −3.69722 1.27570i −0.373475 0.128865i
\(99\) −0.00552307 + 1.38627i −0.000555089 + 0.139325i
\(100\) −5.56686 + 7.10648i −0.556686 + 0.710648i
\(101\) 1.51464 5.65271i 0.150712 0.562466i −0.848722 0.528839i \(-0.822628\pi\)
0.999434 0.0336269i \(-0.0107058\pi\)
\(102\) 0.103209 0.0342315i 0.0102192 0.00338942i
\(103\) 1.13680 + 0.656334i 0.112013 + 0.0646705i 0.554960 0.831877i \(-0.312734\pi\)
−0.442947 + 0.896548i \(0.646067\pi\)
\(104\) 11.1440 12.3290i 1.09276 1.20895i
\(105\) −8.70829 6.70971i −0.849842 0.654800i
\(106\) −2.74042 + 4.05723i −0.266173 + 0.394073i
\(107\) −2.92966 2.92966i −0.283221 0.283221i 0.551171 0.834392i \(-0.314181\pi\)
−0.834392 + 0.551171i \(0.814181\pi\)
\(108\) −7.23008 7.46498i −0.695715 0.718318i
\(109\) 11.5193 11.5193i 1.10335 1.10335i 0.109344 0.994004i \(-0.465125\pi\)
0.994004 0.109344i \(-0.0348750\pi\)
\(110\) 1.97887 0.383339i 0.188678 0.0365499i
\(111\) −1.14975 + 1.49222i −0.109130 + 0.141636i
\(112\) 2.28905 7.90639i 0.216295 0.747084i
\(113\) 3.79250 6.56880i 0.356768 0.617941i −0.630651 0.776067i \(-0.717212\pi\)
0.987419 + 0.158126i \(0.0505452\pi\)
\(114\) −1.72049 + 3.42815i −0.161139 + 0.321076i
\(115\) −27.1524 7.27547i −2.53198 0.678441i
\(116\) 14.2989 1.73710i 1.32762 0.161286i
\(117\) −8.75268 15.3005i −0.809186 1.41454i
\(118\) 2.30189 + 4.72726i 0.211906 + 0.435179i
\(119\) 0.0791104 0.0456744i 0.00725204 0.00418696i
\(120\) −8.60735 + 12.4194i −0.785740 + 1.13373i
\(121\) 9.34136 + 5.39324i 0.849214 + 0.490294i
\(122\) 0.122398 1.73442i 0.0110814 0.157027i
\(123\) 4.43888 10.6563i 0.400240 0.960847i
\(124\) −0.304609 + 2.14745i −0.0273547 + 0.192846i
\(125\) −1.06075 + 1.06075i −0.0948761 + 0.0948761i
\(126\) −7.21516 4.91539i −0.642778 0.437897i
\(127\) −10.6374 −0.943915 −0.471958 0.881621i \(-0.656452\pi\)
−0.471958 + 0.881621i \(0.656452\pi\)
\(128\) −11.0122 2.59441i −0.973352 0.229316i
\(129\) 19.6574 + 2.62779i 1.73073 + 0.231364i
\(130\) −19.3540 + 16.8024i −1.69746 + 1.47367i
\(131\) 4.98338 + 18.5982i 0.435400 + 1.62493i 0.740108 + 0.672488i \(0.234774\pi\)
−0.304708 + 0.952446i \(0.598559\pi\)
\(132\) 1.55105 0.395718i 0.135002 0.0344428i
\(133\) −0.833985 + 3.11247i −0.0723157 + 0.269886i
\(134\) −7.27569 + 3.54283i −0.628524 + 0.306054i
\(135\) 9.68053 + 12.7732i 0.833167 + 1.09935i
\(136\) −0.0681824 0.105434i −0.00584659 0.00904093i
\(137\) −8.30213 + 4.79324i −0.709299 + 0.409514i −0.810802 0.585321i \(-0.800968\pi\)
0.101502 + 0.994835i \(0.467635\pi\)
\(138\) −21.8638 4.50820i −1.86117 0.383764i
\(139\) 6.81465 1.82598i 0.578011 0.154878i 0.0420428 0.999116i \(-0.486613\pi\)
0.535968 + 0.844238i \(0.319947\pi\)
\(140\) −4.97492 + 11.6786i −0.420458 + 0.987020i
\(141\) −3.37047 + 2.57560i −0.283845 + 0.216905i
\(142\) 9.56014 1.85195i 0.802270 0.155412i
\(143\) 2.71512 0.227050
\(144\) −6.24765 + 10.2453i −0.520637 + 0.853778i
\(145\) −22.2141 −1.84478
\(146\) 18.3218 3.54922i 1.51632 0.293736i
\(147\) 4.42183 + 1.84191i 0.364707 + 0.151918i
\(148\) 2.00120 + 0.852487i 0.164498 + 0.0700740i
\(149\) 19.4991 5.22476i 1.59743 0.428029i 0.653162 0.757218i \(-0.273442\pi\)
0.944264 + 0.329189i \(0.106775\pi\)
\(150\) 7.34778 8.26124i 0.599944 0.674527i
\(151\) 3.86699 2.23261i 0.314691 0.181687i −0.334333 0.942455i \(-0.608511\pi\)
0.649024 + 0.760768i \(0.275178\pi\)
\(152\) 4.33048 + 0.929169i 0.351248 + 0.0753656i
\(153\) −0.128775 + 0.0339558i −0.0104108 + 0.00274516i
\(154\) 1.20903 0.588725i 0.0974263 0.0474408i
\(155\) 0.865741 3.23099i 0.0695380 0.259519i
\(156\) −14.5642 + 14.2188i −1.16607 + 1.13841i
\(157\) −4.26421 15.9143i −0.340321 1.27010i −0.897984 0.440029i \(-0.854968\pi\)
0.557662 0.830068i \(-0.311698\pi\)
\(158\) −7.39939 + 6.42388i −0.588664 + 0.511056i
\(159\) 3.65983 4.74996i 0.290243 0.376696i
\(160\) 16.3767 + 6.02006i 1.29469 + 0.475928i
\(161\) −18.7538 −1.47800
\(162\) 8.26727 + 9.67741i 0.649538 + 0.760329i
\(163\) 5.24124 5.24124i 0.410525 0.410525i −0.471396 0.881922i \(-0.656250\pi\)
0.881922 + 0.471396i \(0.156250\pi\)
\(164\) −13.1976 1.87204i −1.03056 0.146181i
\(165\) −2.44819 + 0.317350i −0.190591 + 0.0247056i
\(166\) 0.0606142 0.858920i 0.00470457 0.0666651i
\(167\) −11.2974 6.52257i −0.874220 0.504731i −0.00547195 0.999985i \(-0.501742\pi\)
−0.868748 + 0.495254i \(0.835075\pi\)
\(168\) −3.40226 + 9.48951i −0.262490 + 0.732132i
\(169\) −18.6403 + 10.7620i −1.43387 + 0.827847i
\(170\) 0.0847745 + 0.174096i 0.00650191 + 0.0133526i
\(171\) 2.36504 4.05894i 0.180859 0.310395i
\(172\) −2.76173 22.7331i −0.210580 1.73339i
\(173\) 1.38769 + 0.371831i 0.105504 + 0.0282698i 0.311185 0.950349i \(-0.399274\pi\)
−0.205681 + 0.978619i \(0.565941\pi\)
\(174\) −17.6112 + 1.03062i −1.33510 + 0.0781311i
\(175\) 4.64402 8.04369i 0.351055 0.608046i
\(176\) −0.891964 1.61891i −0.0672343 0.122030i
\(177\) −2.45247 5.95432i −0.184339 0.447554i
\(178\) 7.35859 1.42548i 0.551550 0.106844i
\(179\) −2.50772 + 2.50772i −0.187436 + 0.187436i −0.794587 0.607151i \(-0.792312\pi\)
0.607151 + 0.794587i \(0.292312\pi\)
\(180\) 11.4704 14.5231i 0.854951 1.08249i
\(181\) 10.8795 + 10.8795i 0.808666 + 0.808666i 0.984432 0.175766i \(-0.0562403\pi\)
−0.175766 + 0.984432i \(0.556240\pi\)
\(182\) −9.57076 + 14.1697i −0.709432 + 1.05032i
\(183\) −0.282161 + 2.11073i −0.0208580 + 0.156029i
\(184\) 1.29963 + 25.7444i 0.0958098 + 1.89791i
\(185\) −2.90520 1.67732i −0.213594 0.123319i
\(186\) 0.536452 2.60167i 0.0393345 0.190764i
\(187\) 0.00530922 0.0198143i 0.000388248 0.00144896i
\(188\) 3.85592 + 3.02053i 0.281222 + 0.220295i
\(189\) 8.44387 + 6.55976i 0.614201 + 0.477152i
\(190\) −6.45695 2.22793i −0.468436 0.161631i
\(191\) −6.59227 11.4182i −0.477000 0.826188i 0.522653 0.852546i \(-0.324943\pi\)
−0.999653 + 0.0263575i \(0.991609\pi\)
\(192\) 13.2626 + 4.01287i 0.957147 + 0.289604i
\(193\) 8.71808 15.1002i 0.627541 1.08693i −0.360503 0.932758i \(-0.617395\pi\)
0.988044 0.154175i \(-0.0492718\pi\)
\(194\) 12.5652 10.9086i 0.902127 0.783194i
\(195\) 24.9416 19.0595i 1.78610 1.36488i
\(196\) 0.776801 5.47633i 0.0554858 0.391167i
\(197\) −8.36275 8.36275i −0.595822 0.595822i 0.343376 0.939198i \(-0.388429\pi\)
−0.939198 + 0.343376i \(0.888429\pi\)
\(198\) −1.92618 + 0.365176i −0.136888 + 0.0259519i
\(199\) 15.6420i 1.10883i −0.832240 0.554416i \(-0.812942\pi\)
0.832240 0.554416i \(-0.187058\pi\)
\(200\) −11.3639 5.81772i −0.803549 0.411375i
\(201\) 9.16425 3.77459i 0.646396 0.266239i
\(202\) 8.25561 + 0.582601i 0.580863 + 0.0409916i
\(203\) −14.3151 + 3.83573i −1.00473 + 0.269216i
\(204\) 0.0752859 + 0.134089i 0.00527106 + 0.00938813i
\(205\) 19.8567 + 5.32059i 1.38685 + 0.371606i
\(206\) −0.605506 + 1.75487i −0.0421876 + 0.122267i
\(207\) 26.3809 + 7.18150i 1.83360 + 0.499149i
\(208\) 20.1148 + 12.1564i 1.39471 + 0.842896i
\(209\) 0.361796 + 0.626649i 0.0250259 + 0.0433462i
\(210\) 6.97363 13.8952i 0.481226 0.958862i
\(211\) 5.00865 + 18.6925i 0.344810 + 1.28685i 0.892834 + 0.450386i \(0.148713\pi\)
−0.548024 + 0.836462i \(0.684620\pi\)
\(212\) −6.37012 2.71359i −0.437502 0.186370i
\(213\) −11.8275 + 1.53315i −0.810404 + 0.105050i
\(214\) 3.27960 4.85550i 0.224189 0.331915i
\(215\) 35.3170i 2.40860i
\(216\) 8.41983 12.0460i 0.572897 0.819628i
\(217\) 2.23159i 0.151491i
\(218\) 19.0916 + 12.8952i 1.29305 + 0.873376i
\(219\) −22.6670 + 2.93825i −1.53170 + 0.198548i
\(220\) 1.06446 + 2.64437i 0.0717657 + 0.178283i
\(221\) 0.0675091 + 0.251948i 0.00454116 + 0.0169478i
\(222\) −2.38104 1.19498i −0.159805 0.0802017i
\(223\) −2.07790 3.59904i −0.139147 0.241009i 0.788027 0.615641i \(-0.211103\pi\)
−0.927174 + 0.374631i \(0.877769\pi\)
\(224\) 11.5929 + 1.05166i 0.774584 + 0.0702667i
\(225\) −9.61296 + 9.53666i −0.640864 + 0.635778i
\(226\) 10.1402 + 3.49880i 0.674513 + 0.232737i
\(227\) 6.22983 + 1.66928i 0.413488 + 0.110794i 0.459565 0.888144i \(-0.348005\pi\)
−0.0460768 + 0.998938i \(0.514672\pi\)
\(228\) −5.22239 1.46672i −0.345861 0.0971358i
\(229\) −9.37974 + 2.51329i −0.619831 + 0.166083i −0.555051 0.831816i \(-0.687301\pi\)
−0.0647799 + 0.997900i \(0.520635\pi\)
\(230\) 2.79848 39.6553i 0.184526 2.61479i
\(231\) −1.52286 + 0.627237i −0.100197 + 0.0412692i
\(232\) 6.25758 + 19.3855i 0.410830 + 1.27272i
\(233\) 22.2096i 1.45500i 0.686108 + 0.727499i \(0.259318\pi\)
−0.686108 + 0.727499i \(0.740682\pi\)
\(234\) 18.8892 16.2674i 1.23483 1.06343i
\(235\) −5.34145 5.34145i −0.348438 0.348438i
\(236\) −5.94423 + 4.46738i −0.386937 + 0.290801i
\(237\) 9.53563 7.28681i 0.619406 0.473329i
\(238\) 0.0846917 + 0.0975527i 0.00548974 + 0.00632340i
\(239\) −4.02723 + 6.97537i −0.260500 + 0.451199i −0.966375 0.257137i \(-0.917221\pi\)
0.705875 + 0.708337i \(0.250554\pi\)
\(240\) −19.5581 8.61020i −1.26247 0.555786i
\(241\) 5.07653 + 8.79280i 0.327008 + 0.566394i 0.981917 0.189314i \(-0.0606263\pi\)
−0.654909 + 0.755708i \(0.727293\pi\)
\(242\) −4.97557 + 14.4201i −0.319842 + 0.926960i
\(243\) −9.36600 12.4611i −0.600829 0.799377i
\(244\) 2.44099 0.296544i 0.156268 0.0189843i
\(245\) −2.20778 + 8.23954i −0.141050 + 0.526405i
\(246\) 15.9891 + 3.29688i 1.01943 + 0.210201i
\(247\) −7.96812 4.60040i −0.507000 0.292716i
\(248\) −3.06345 + 0.154649i −0.194529 + 0.00982020i
\(249\) −0.139732 + 1.04528i −0.00885516 + 0.0662417i
\(250\) −1.75804 1.18745i −0.111188 0.0751010i
\(251\) 11.0682 + 11.0682i 0.698617 + 0.698617i 0.964112 0.265495i \(-0.0855355\pi\)
−0.265495 + 0.964112i \(0.585535\pi\)
\(252\) 4.88398 11.3396i 0.307662 0.714326i
\(253\) −2.97786 + 2.97786i −0.187217 + 0.187217i
\(254\) −2.86099 14.7690i −0.179514 0.926688i
\(255\) −0.0903202 0.219287i −0.00565607 0.0137323i
\(256\) 0.640289 15.9872i 0.0400181 0.999199i
\(257\) −10.3807 + 17.9800i −0.647533 + 1.12156i 0.336177 + 0.941799i \(0.390866\pi\)
−0.983710 + 0.179761i \(0.942467\pi\)
\(258\) 1.63853 + 27.9991i 0.102011 + 1.74315i
\(259\) −2.16179 0.579249i −0.134327 0.0359928i
\(260\) −28.5339 22.3520i −1.76960 1.38621i
\(261\) 21.6059 + 0.0860808i 1.33737 + 0.00532827i
\(262\) −24.4815 + 11.9210i −1.51247 + 0.736484i
\(263\) −9.13436 + 5.27373i −0.563249 + 0.325192i −0.754448 0.656359i \(-0.772096\pi\)
0.191200 + 0.981551i \(0.438762\pi\)
\(264\) 0.966580 + 2.04705i 0.0594889 + 0.125987i
\(265\) 9.24767 + 5.33914i 0.568080 + 0.327981i
\(266\) −4.54567 0.320789i −0.278713 0.0196689i
\(267\) −9.10377 + 1.18009i −0.557142 + 0.0722203i
\(268\) −6.87571 9.14873i −0.420001 0.558848i
\(269\) −0.529850 + 0.529850i −0.0323055 + 0.0323055i −0.723075 0.690770i \(-0.757272\pi\)
0.690770 + 0.723075i \(0.257272\pi\)
\(270\) −15.1308 + 16.8759i −0.920830 + 1.02704i
\(271\) 14.3682 0.872804 0.436402 0.899752i \(-0.356253\pi\)
0.436402 + 0.899752i \(0.356253\pi\)
\(272\) 0.128047 0.123022i 0.00776402 0.00745929i
\(273\) 12.7818 16.5890i 0.773587 1.00401i
\(274\) −8.88786 10.2375i −0.536935 0.618472i
\(275\) −0.539824 2.01465i −0.0325526 0.121488i
\(276\) 0.378814 31.5683i 0.0228019 1.90019i
\(277\) 2.19602 8.19567i 0.131946 0.492430i −0.868046 0.496485i \(-0.834624\pi\)
0.999992 + 0.00405455i \(0.00129061\pi\)
\(278\) 4.36803 + 8.97037i 0.261977 + 0.538007i
\(279\) −0.854559 + 3.13918i −0.0511611 + 0.187938i
\(280\) −17.5526 3.76618i −1.04897 0.225072i
\(281\) 6.21827 3.59012i 0.370951 0.214169i −0.302923 0.953015i \(-0.597962\pi\)
0.673874 + 0.738847i \(0.264629\pi\)
\(282\) −4.48248 3.98685i −0.266928 0.237413i
\(283\) −14.8817 + 3.98753i −0.884623 + 0.237034i −0.672401 0.740187i \(-0.734737\pi\)
−0.212222 + 0.977221i \(0.568070\pi\)
\(284\) 5.14251 + 12.7752i 0.305152 + 0.758071i
\(285\) 7.72245 + 3.21678i 0.457438 + 0.190546i
\(286\) 0.730248 + 3.76968i 0.0431805 + 0.222906i
\(287\) 13.7147 0.809555
\(288\) −15.9050 5.91871i −0.937211 0.348763i
\(289\) −16.9980 −0.999884
\(290\) −5.97460 30.8421i −0.350841 1.81111i
\(291\) −16.1928 + 12.3740i −0.949239 + 0.725377i
\(292\) 9.85550 + 24.4834i 0.576750 + 1.43278i
\(293\) −15.3492 + 4.11281i −0.896711 + 0.240273i −0.677603 0.735428i \(-0.736981\pi\)
−0.219108 + 0.975701i \(0.570315\pi\)
\(294\) −1.36804 + 6.63468i −0.0797856 + 0.386942i
\(295\) 9.93122 5.73379i 0.578218 0.333834i
\(296\) −0.645360 + 3.00776i −0.0375108 + 0.174822i
\(297\) 2.38239 0.299175i 0.138240 0.0173599i
\(298\) 12.4985 + 25.6673i 0.724016 + 1.48687i
\(299\) 13.8595 51.7244i 0.801517 2.99130i
\(300\) 13.4462 + 7.97978i 0.776314 + 0.460713i
\(301\) 6.09824 + 22.7589i 0.351496 + 1.31180i
\(302\) 4.13981 + 4.76846i 0.238219 + 0.274394i
\(303\) −10.0468 1.34305i −0.577173 0.0771563i
\(304\) −0.125354 + 6.26236i −0.00718954 + 0.359171i
\(305\) −3.79220 −0.217141
\(306\) −0.0817790 0.169659i −0.00467499 0.00969874i
\(307\) 7.37130 7.37130i 0.420702 0.420702i −0.464743 0.885446i \(-0.653853\pi\)
0.885446 + 0.464743i \(0.153853\pi\)
\(308\) 1.14256 + 1.52028i 0.0651035 + 0.0866259i
\(309\) 0.874254 2.09880i 0.0497346 0.119397i
\(310\) 4.71876 + 0.333004i 0.268008 + 0.0189134i
\(311\) −6.23360 3.59897i −0.353475 0.204079i 0.312740 0.949839i \(-0.398753\pi\)
−0.666215 + 0.745760i \(0.732087\pi\)
\(312\) −23.6585 16.3967i −1.33940 0.928281i
\(313\) −9.23161 + 5.32987i −0.521801 + 0.301262i −0.737671 0.675160i \(-0.764075\pi\)
0.215870 + 0.976422i \(0.430741\pi\)
\(314\) 20.9485 10.2007i 1.18219 0.575658i
\(315\) −9.58617 + 16.4520i −0.540119 + 0.926966i
\(316\) −10.9090 8.54560i −0.613681 0.480727i
\(317\) 14.5196 + 3.89052i 0.815503 + 0.218513i 0.642379 0.766387i \(-0.277947\pi\)
0.173123 + 0.984900i \(0.444614\pi\)
\(318\) 7.57919 + 3.80379i 0.425020 + 0.213306i
\(319\) −1.66400 + 2.88213i −0.0931662 + 0.161369i
\(320\) −3.95367 + 24.3566i −0.221017 + 1.36157i
\(321\) −4.37991 + 5.68453i −0.244463 + 0.317280i
\(322\) −5.04393 26.0378i −0.281087 1.45103i
\(323\) −0.0491536 + 0.0491536i −0.00273498 + 0.00273498i
\(324\) −11.2126 + 14.0811i −0.622923 + 0.782283i
\(325\) 18.7531 + 18.7531i 1.04023 + 1.04023i
\(326\) 8.68661 + 5.86729i 0.481107 + 0.324959i
\(327\) −22.3513 17.2216i −1.23603 0.952357i
\(328\) −0.950425 18.8271i −0.0524785 1.03955i
\(329\) −4.36444 2.51981i −0.240619 0.138922i
\(330\) −1.09906 3.31372i −0.0605014 0.182414i
\(331\) 6.53309 24.3818i 0.359091 1.34015i −0.516166 0.856488i \(-0.672641\pi\)
0.875257 0.483658i \(-0.160692\pi\)
\(332\) 1.20883 0.146855i 0.0663431 0.00805969i
\(333\) 2.81916 + 1.64265i 0.154489 + 0.0900169i
\(334\) 6.01745 17.4396i 0.329260 0.954255i
\(335\) 8.82485 + 15.2851i 0.482153 + 0.835113i
\(336\) −14.0903 2.17145i −0.768690 0.118462i
\(337\) 1.80217 3.12146i 0.0981707 0.170037i −0.812757 0.582603i \(-0.802034\pi\)
0.910928 + 0.412566i \(0.135368\pi\)
\(338\) −19.9554 22.9858i −1.08543 1.25026i
\(339\) −12.1275 5.05171i −0.658677 0.274371i
\(340\) −0.218915 + 0.164525i −0.0118724 + 0.00892265i
\(341\) −0.354350 0.354350i −0.0191891 0.0191891i
\(342\) 6.27154 + 2.19196i 0.339126 + 0.118528i
\(343\) 20.0953i 1.08505i
\(344\) 30.8200 9.94861i 1.66170 0.536393i
\(345\) −6.45126 + 48.2591i −0.347324 + 2.59818i
\(346\) −0.143023 + 2.02668i −0.00768899 + 0.108955i
\(347\) 15.4243 4.13293i 0.828020 0.221867i 0.180170 0.983635i \(-0.442335\pi\)
0.647850 + 0.761768i \(0.275669\pi\)
\(348\) −6.16754 24.1742i −0.330615 1.29587i
\(349\) −15.1326 4.05477i −0.810029 0.217047i −0.170047 0.985436i \(-0.554392\pi\)
−0.639983 + 0.768389i \(0.721058\pi\)
\(350\) 12.4169 + 4.28438i 0.663712 + 0.229010i
\(351\) −24.3326 + 18.4411i −1.29878 + 0.984312i
\(352\) 2.00780 1.67382i 0.107016 0.0892149i
\(353\) 2.05577 + 3.56070i 0.109418 + 0.189517i 0.915534 0.402239i \(-0.131768\pi\)
−0.806117 + 0.591756i \(0.798435\pi\)
\(354\) 7.60738 5.00647i 0.404328 0.266091i
\(355\) −5.49691 20.5147i −0.291746 1.08881i
\(356\) 3.95827 + 9.83330i 0.209788 + 0.521164i
\(357\) −0.0960684 0.125717i −0.00508448 0.00665363i
\(358\) −4.15619 2.80726i −0.219662 0.148368i
\(359\) 20.1902i 1.06560i −0.846242 0.532800i \(-0.821140\pi\)
0.846242 0.532800i \(-0.178860\pi\)
\(360\) 23.2490 + 12.0194i 1.22533 + 0.633478i
\(361\) 16.5479i 0.870945i
\(362\) −12.1790 + 18.0312i −0.640114 + 0.947699i
\(363\) 7.18394 17.2463i 0.377059 0.905196i
\(364\) −22.2473 9.47706i −1.16608 0.496733i
\(365\) −10.5347 39.3160i −0.551411 2.05789i
\(366\) −3.00643 + 0.175939i −0.157149 + 0.00919647i
\(367\) 11.2398 + 19.4679i 0.586714 + 1.01622i 0.994659 + 0.103212i \(0.0329120\pi\)
−0.407946 + 0.913006i \(0.633755\pi\)
\(368\) −35.3941 + 8.72852i −1.84505 + 0.455006i
\(369\) −19.2925 5.25187i −1.00433 0.273402i
\(370\) 1.54742 4.48471i 0.0804466 0.233149i
\(371\) 6.88128 + 1.84383i 0.357258 + 0.0957270i
\(372\) 3.75645 + 0.0450767i 0.194763 + 0.00233712i
\(373\) −25.6543 + 6.87405i −1.32833 + 0.355925i −0.852092 0.523392i \(-0.824666\pi\)
−0.476237 + 0.879317i \(0.658000\pi\)
\(374\) 0.0289381 + 0.00204217i 0.00149636 + 0.000105598i
\(375\) 2.05821 + 1.58584i 0.106285 + 0.0818925i
\(376\) −3.15665 + 6.16596i −0.162792 + 0.317985i
\(377\) 42.3171i 2.17944i
\(378\) −6.83656 + 13.4878i −0.351635 + 0.693737i
\(379\) −6.62881 6.62881i −0.340499 0.340499i 0.516056 0.856555i \(-0.327400\pi\)
−0.856555 + 0.516056i \(0.827400\pi\)
\(380\) 1.35663 9.56407i 0.0695938 0.490626i
\(381\) 2.36848 + 18.2716i 0.121341 + 0.936083i
\(382\) 14.0800 12.2237i 0.720394 0.625419i
\(383\) 1.98902 3.44509i 0.101634 0.176036i −0.810724 0.585429i \(-0.800926\pi\)
0.912358 + 0.409393i \(0.134259\pi\)
\(384\) −2.00442 + 19.4931i −0.102288 + 0.994755i
\(385\) −1.46646 2.53998i −0.0747376 0.129449i
\(386\) 23.3099 + 8.04293i 1.18644 + 0.409374i
\(387\) 0.136856 34.3502i 0.00695676 1.74612i
\(388\) 18.5250 + 14.5116i 0.940467 + 0.736714i
\(389\) 1.21847 4.54738i 0.0617787 0.230561i −0.928133 0.372250i \(-0.878586\pi\)
0.989911 + 0.141688i \(0.0452531\pi\)
\(390\) 33.1705 + 29.5028i 1.67965 + 1.49393i
\(391\) −0.350370 0.202286i −0.0177190 0.0102301i
\(392\) 7.81228 0.394379i 0.394580 0.0199191i
\(393\) 30.8362 12.7009i 1.55548 0.640674i
\(394\) 9.36166 13.8601i 0.471634 0.698261i
\(395\) 15.1119 + 15.1119i 0.760360 + 0.760360i
\(396\) −1.02507 2.57610i −0.0515116 0.129454i
\(397\) −18.1361 + 18.1361i −0.910223 + 0.910223i −0.996289 0.0860661i \(-0.972570\pi\)
0.0860661 + 0.996289i \(0.472570\pi\)
\(398\) 21.7174 4.20700i 1.08859 0.210878i
\(399\) 5.53193 + 0.739506i 0.276943 + 0.0370216i
\(400\) 5.02095 17.3424i 0.251047 0.867119i
\(401\) −2.47526 + 4.28727i −0.123608 + 0.214096i −0.921188 0.389118i \(-0.872780\pi\)
0.797580 + 0.603214i \(0.206113\pi\)
\(402\) 7.70543 + 11.7085i 0.384312 + 0.583966i
\(403\) 6.15492 + 1.64921i 0.306599 + 0.0821528i
\(404\) 1.41151 + 11.6188i 0.0702253 + 0.578057i
\(405\) 19.7849 19.4721i 0.983120 0.967576i
\(406\) −9.17568 18.8435i −0.455381 0.935189i
\(407\) −0.435242 + 0.251287i −0.0215742 + 0.0124558i
\(408\) −0.165921 + 0.140591i −0.00821433 + 0.00696030i
\(409\) −12.4390 7.18164i −0.615067 0.355109i 0.159879 0.987137i \(-0.448890\pi\)
−0.774946 + 0.632027i \(0.782223\pi\)
\(410\) −2.04655 + 29.0001i −0.101072 + 1.43221i
\(411\) 10.0818 + 13.1932i 0.497297 + 0.650771i
\(412\) −2.59931 0.368705i −0.128059 0.0181648i
\(413\) 5.40979 5.40979i 0.266199 0.266199i
\(414\) −2.87553 + 38.5588i −0.141325 + 1.89506i
\(415\) −1.87798 −0.0921862
\(416\) −11.4680 + 31.1970i −0.562266 + 1.52956i
\(417\) −4.65378 11.2988i −0.227896 0.553305i
\(418\) −0.772734 + 0.670859i −0.0377956 + 0.0328128i
\(419\) −6.54483 24.4257i −0.319736 1.19327i −0.919499 0.393093i \(-0.871405\pi\)
0.599763 0.800178i \(-0.295262\pi\)
\(420\) 21.1678 + 5.94501i 1.03288 + 0.290087i
\(421\) 1.33131 4.96853i 0.0648842 0.242151i −0.925865 0.377853i \(-0.876662\pi\)
0.990750 + 0.135702i \(0.0433290\pi\)
\(422\) −24.6057 + 11.9815i −1.19779 + 0.583250i
\(423\) 5.17452 + 5.21591i 0.251594 + 0.253606i
\(424\) 2.05427 9.57413i 0.0997643 0.464961i
\(425\) 0.173526 0.100185i 0.00841723 0.00485969i
\(426\) −5.30969 16.0089i −0.257255 0.775635i
\(427\) −2.44376 + 0.654803i −0.118262 + 0.0316882i
\(428\) 7.62346 + 3.24749i 0.368494 + 0.156974i
\(429\) −0.604540 4.66371i −0.0291875 0.225166i
\(430\) −49.0343 + 9.49872i −2.36464 + 0.458069i
\(431\) 20.0912 0.967760 0.483880 0.875134i \(-0.339227\pi\)
0.483880 + 0.875134i \(0.339227\pi\)
\(432\) 18.9893 + 8.45027i 0.913622 + 0.406564i
\(433\) 21.8262 1.04890 0.524449 0.851442i \(-0.324271\pi\)
0.524449 + 0.851442i \(0.324271\pi\)
\(434\) 3.09835 0.600200i 0.148726 0.0288105i
\(435\) 4.94611 + 38.1567i 0.237148 + 1.82947i
\(436\) −12.7690 + 29.9751i −0.611524 + 1.43555i
\(437\) 13.7848 3.69362i 0.659415 0.176690i
\(438\) −10.1759 30.6807i −0.486223 1.46598i
\(439\) 25.7554 14.8699i 1.22924 0.709700i 0.262367 0.964968i \(-0.415497\pi\)
0.966870 + 0.255268i \(0.0821636\pi\)
\(440\) −3.38516 + 2.18912i −0.161381 + 0.104362i
\(441\) 2.17926 8.00541i 0.103774 0.381210i
\(442\) −0.331648 + 0.161493i −0.0157749 + 0.00768142i
\(443\) −9.06164 + 33.8185i −0.430532 + 1.60677i 0.321007 + 0.947077i \(0.395979\pi\)
−0.751539 + 0.659689i \(0.770688\pi\)
\(444\) 1.01872 3.62724i 0.0483462 0.172141i
\(445\) −4.23106 15.7905i −0.200571 0.748543i
\(446\) 4.43805 3.85295i 0.210148 0.182442i
\(447\) −13.3161 32.3298i −0.629828 1.52915i
\(448\) 1.65786 + 16.3785i 0.0783264 + 0.773810i
\(449\) 27.6805 1.30633 0.653163 0.757217i \(-0.273442\pi\)
0.653163 + 0.757217i \(0.273442\pi\)
\(450\) −15.8262 10.7817i −0.746054 0.508255i
\(451\) 2.17773 2.17773i 0.102545 0.102545i
\(452\) −2.13049 + 15.0196i −0.100210 + 0.706465i
\(453\) −4.69591 6.14514i −0.220633 0.288724i
\(454\) −0.642082 + 9.09848i −0.0301344 + 0.427013i
\(455\) 32.2970 + 18.6467i 1.51411 + 0.874169i
\(456\) 0.631805 7.64526i 0.0295870 0.358022i
\(457\) 13.8114 7.97402i 0.646070 0.373009i −0.140879 0.990027i \(-0.544993\pi\)
0.786949 + 0.617018i \(0.211659\pi\)
\(458\) −6.01220 12.3469i −0.280932 0.576932i
\(459\) 0.0869977 + 0.213633i 0.00406071 + 0.00997155i
\(460\) 55.8102 6.78009i 2.60216 0.316123i
\(461\) −18.1773 4.87059i −0.846600 0.226846i −0.190658 0.981657i \(-0.561062\pi\)
−0.655943 + 0.754811i \(0.727729\pi\)
\(462\) −1.28044 1.94564i −0.0595714 0.0905194i
\(463\) 6.07529 10.5227i 0.282343 0.489032i −0.689619 0.724173i \(-0.742222\pi\)
0.971961 + 0.235141i \(0.0755552\pi\)
\(464\) −25.2318 + 13.9019i −1.17136 + 0.645378i
\(465\) −5.74257 0.767664i −0.266305 0.0355996i
\(466\) −30.8359 + 5.97340i −1.42844 + 0.276712i
\(467\) −15.9698 + 15.9698i −0.738992 + 0.738992i −0.972383 0.233391i \(-0.925018\pi\)
0.233391 + 0.972383i \(0.425018\pi\)
\(468\) 27.6661 + 21.8507i 1.27887 + 1.01005i
\(469\) 8.32618 + 8.32618i 0.384467 + 0.384467i
\(470\) 5.97947 8.85270i 0.275812 0.408345i
\(471\) −26.3862 + 10.8680i −1.21581 + 0.500770i
\(472\) −7.80126 7.05146i −0.359082 0.324570i
\(473\) 4.58216 + 2.64551i 0.210688 + 0.121641i
\(474\) 12.6817 + 11.2795i 0.582489 + 0.518083i
\(475\) −1.82931 + 6.82710i −0.0839347 + 0.313249i
\(476\) −0.112664 + 0.143823i −0.00516395 + 0.00659214i
\(477\) −8.97380 5.22881i −0.410882 0.239411i
\(478\) −10.7678 3.71536i −0.492507 0.169936i
\(479\) −9.27240 16.0603i −0.423667 0.733813i 0.572628 0.819815i \(-0.305924\pi\)
−0.996295 + 0.0860026i \(0.972591\pi\)
\(480\) 6.69417 29.4703i 0.305546 1.34513i
\(481\) 3.19523 5.53430i 0.145690 0.252343i
\(482\) −10.8426 + 9.41314i −0.493866 + 0.428757i
\(483\) 4.17565 + 32.2130i 0.189999 + 1.46574i
\(484\) −21.3591 3.02973i −0.970870 0.137715i
\(485\) −25.6620 25.6620i −1.16525 1.16525i
\(486\) 14.7819 16.3553i 0.670522 0.741890i
\(487\) 6.58835i 0.298547i 0.988796 + 0.149273i \(0.0476934\pi\)
−0.988796 + 0.149273i \(0.952307\pi\)
\(488\) 1.06824 + 3.30932i 0.0483570 + 0.149806i
\(489\) −10.1698 7.83577i −0.459893 0.354346i
\(490\) −12.0336 0.849214i −0.543623 0.0383636i
\(491\) −4.86361 + 1.30320i −0.219491 + 0.0588126i −0.366889 0.930265i \(-0.619577\pi\)
0.147397 + 0.989077i \(0.452910\pi\)
\(492\) −0.277028 + 23.0860i −0.0124894 + 1.04080i
\(493\) −0.308819 0.0827478i −0.0139085 0.00372678i
\(494\) 4.24413 12.3003i 0.190953 0.553415i
\(495\) 1.09021 + 4.13454i 0.0490013 + 0.185834i
\(496\) −1.03865 4.21171i −0.0466366 0.189111i
\(497\) −7.08461 12.2709i −0.317788 0.550425i
\(498\) −1.48885 + 0.0871285i −0.0667168 + 0.00390432i
\(499\) 5.62008 + 20.9744i 0.251589 + 0.938944i 0.969956 + 0.243279i \(0.0782232\pi\)
−0.718367 + 0.695664i \(0.755110\pi\)
\(500\) 1.17583 2.76024i 0.0525845 0.123442i
\(501\) −8.68824 + 20.8576i −0.388162 + 0.931851i
\(502\) −12.3902 + 18.3439i −0.553003 + 0.818730i
\(503\) 9.04140i 0.403136i −0.979475 0.201568i \(-0.935396\pi\)
0.979475 0.201568i \(-0.0646037\pi\)
\(504\) 17.0575 + 3.73109i 0.759800 + 0.166196i
\(505\) 18.0504i 0.803232i
\(506\) −4.93539 3.33356i −0.219405 0.148195i
\(507\) 22.6361 + 29.6219i 1.00530 + 1.31556i
\(508\) 19.7358 7.94440i 0.875635 0.352476i
\(509\) 3.80331 + 14.1941i 0.168579 + 0.629144i 0.997557 + 0.0698626i \(0.0222561\pi\)
−0.828978 + 0.559281i \(0.811077\pi\)
\(510\) 0.280166 0.184379i 0.0124060 0.00816445i
\(511\) −13.5775 23.5169i −0.600633 1.04033i
\(512\) 22.3689 3.41087i 0.988573 0.150740i
\(513\) −7.49856 3.15864i −0.331070 0.139457i
\(514\) −27.7554 9.57684i −1.22424 0.422416i
\(515\) 3.91086 + 1.04791i 0.172333 + 0.0461765i
\(516\) −38.4333 + 9.80546i −1.69193 + 0.431661i
\(517\) −1.09313 + 0.292904i −0.0480760 + 0.0128819i
\(518\) 0.222806 3.15722i 0.00978953 0.138720i
\(519\) 0.329708 2.46640i 0.0144726 0.108263i
\(520\) 23.3593 45.6283i 1.02437 2.00093i
\(521\) 7.25761i 0.317962i −0.987282 0.158981i \(-0.949179\pi\)
0.987282 0.158981i \(-0.0508208\pi\)
\(522\) 5.69152 + 30.0209i 0.249111 + 1.31398i
\(523\) −19.0736 19.0736i −0.834028 0.834028i 0.154037 0.988065i \(-0.450773\pi\)
−0.988065 + 0.154037i \(0.950773\pi\)
\(524\) −23.1356 30.7840i −1.01069 1.34480i
\(525\) −14.8505 6.18597i −0.648129 0.269978i
\(526\) −9.77879 11.2638i −0.426376 0.491124i
\(527\) 0.0240710 0.0416922i 0.00104855 0.00181614i
\(528\) −2.58217 + 1.89257i −0.112374 + 0.0823635i
\(529\) 30.0291 + 52.0119i 1.30561 + 2.26139i
\(530\) −4.92567 + 14.2755i −0.213957 + 0.620087i
\(531\) −9.68155 + 5.53833i −0.420143 + 0.240343i
\(532\) −0.777200 6.39750i −0.0336959 0.277367i
\(533\) −10.1355 + 37.8264i −0.439019 + 1.63844i
\(534\) −4.08695 12.3223i −0.176860 0.533239i
\(535\) −11.0672 6.38963i −0.478476 0.276248i
\(536\) 10.8529 12.0069i 0.468772 0.518617i
\(537\) 4.86582 + 3.74910i 0.209976 + 0.161786i
\(538\) −0.878151 0.593139i −0.0378598 0.0255720i
\(539\) 0.903648 + 0.903648i 0.0389229 + 0.0389229i
\(540\) −27.5001 16.4687i −1.18341 0.708702i
\(541\) 12.1246 12.1246i 0.521279 0.521279i −0.396679 0.917957i \(-0.629837\pi\)
0.917957 + 0.396679i \(0.129837\pi\)
\(542\) 3.86440 + 19.9488i 0.165990 + 0.856875i
\(543\) 16.2651 21.1099i 0.698001 0.905911i
\(544\) 0.205243 + 0.144694i 0.00879972 + 0.00620371i
\(545\) 25.1237 43.5156i 1.07618 1.86400i
\(546\) 26.4699 + 13.2845i 1.13281 + 0.568525i
\(547\) 37.1224 + 9.94693i 1.58724 + 0.425300i 0.941158 0.337967i \(-0.109739\pi\)
0.646083 + 0.763267i \(0.276406\pi\)
\(548\) 11.8234 15.0934i 0.505070 0.644757i
\(549\) 3.68838 + 0.0146950i 0.157416 + 0.000627167i
\(550\) 2.65196 1.29135i 0.113080 0.0550632i
\(551\) 9.76675 5.63884i 0.416078 0.240223i
\(552\) 43.9313 7.96452i 1.86984 0.338992i
\(553\) 12.3477 + 7.12897i 0.525079 + 0.303155i
\(554\) 11.9695 + 0.844692i 0.508536 + 0.0358875i
\(555\) −2.23423 + 5.36367i −0.0948379 + 0.227675i
\(556\) −11.2797 + 8.47722i −0.478365 + 0.359514i
\(557\) −7.00897 + 7.00897i −0.296979 + 0.296979i −0.839830 0.542850i \(-0.817345\pi\)
0.542850 + 0.839830i \(0.317345\pi\)
\(558\) −4.58828 0.342173i −0.194237 0.0144853i
\(559\) −67.2778 −2.84555
\(560\) 0.508094 25.3830i 0.0214709 1.07263i
\(561\) −0.0352167 0.00470776i −0.00148685 0.000198762i
\(562\) 6.65697 + 7.66788i 0.280807 + 0.323450i
\(563\) 1.62398 + 6.06076i 0.0684424 + 0.255430i 0.991667 0.128831i \(-0.0411226\pi\)
−0.923224 + 0.384262i \(0.874456\pi\)
\(564\) 4.32976 7.29578i 0.182316 0.307208i
\(565\) 6.05515 22.5981i 0.254742 0.950711i
\(566\) −9.53881 19.5893i −0.400946 0.823399i
\(567\) 9.38748 15.9644i 0.394237 0.670444i
\(568\) −16.3541 + 10.5759i −0.686202 + 0.443753i
\(569\) −5.33529 + 3.08033i −0.223667 + 0.129134i −0.607647 0.794207i \(-0.707887\pi\)
0.383980 + 0.923341i \(0.374553\pi\)
\(570\) −2.38919 + 11.5870i −0.100072 + 0.485328i
\(571\) 18.0529 4.83727i 0.755491 0.202433i 0.139539 0.990217i \(-0.455438\pi\)
0.615952 + 0.787783i \(0.288771\pi\)
\(572\) −5.03744 + 2.02776i −0.210626 + 0.0847847i
\(573\) −18.1449 + 13.8657i −0.758015 + 0.579250i
\(574\) 3.68866 + 19.0416i 0.153962 + 0.794780i
\(575\) −41.1357 −1.71548
\(576\) 3.93982 23.6744i 0.164159 0.986434i
\(577\) 11.2964 0.470277 0.235138 0.971962i \(-0.424446\pi\)
0.235138 + 0.971962i \(0.424446\pi\)
\(578\) −4.57172 23.6001i −0.190158 0.981635i
\(579\) −27.8784 11.6127i −1.15859 0.482608i
\(580\) 41.2143 16.5903i 1.71133 0.688875i
\(581\) −1.21020 + 0.324272i −0.0502076 + 0.0134531i
\(582\) −21.5352 19.1541i −0.892665 0.793962i
\(583\) 1.38544 0.799884i 0.0573790 0.0331278i
\(584\) −31.3422 + 20.2684i −1.29695 + 0.838711i
\(585\) −38.2916 38.5979i −1.58316 1.59583i
\(586\) −9.83850 20.2047i −0.406425 0.834650i
\(587\) −9.93836 + 37.0905i −0.410200 + 1.53089i 0.384059 + 0.923309i \(0.374526\pi\)
−0.794259 + 0.607579i \(0.792141\pi\)
\(588\) −9.57955 0.114953i −0.395054 0.00474058i
\(589\) 0.439521 + 1.64031i 0.0181101 + 0.0675879i
\(590\) 10.6319 + 12.2464i 0.437707 + 0.504176i
\(591\) −12.5025 + 16.2266i −0.514285 + 0.667471i
\(592\) −4.34955 0.0870653i −0.178766 0.00357836i
\(593\) 7.39166 0.303539 0.151770 0.988416i \(-0.451503\pi\)
0.151770 + 0.988416i \(0.451503\pi\)
\(594\) 1.05613 + 3.22725i 0.0433336 + 0.132416i
\(595\) 0.199233 0.199233i 0.00816776 0.00816776i
\(596\) −32.2751 + 24.2563i −1.32204 + 0.993576i
\(597\) −26.8679 + 3.48280i −1.09963 + 0.142541i
\(598\) 75.5419 + 5.33101i 3.08914 + 0.218001i
\(599\) 22.9017 + 13.2223i 0.935739 + 0.540249i 0.888622 0.458640i \(-0.151663\pi\)
0.0471171 + 0.998889i \(0.484997\pi\)
\(600\) −7.46272 + 20.8149i −0.304664 + 0.849764i
\(601\) −33.6284 + 19.4154i −1.37173 + 0.791970i −0.991146 0.132775i \(-0.957611\pi\)
−0.380587 + 0.924745i \(0.624278\pi\)
\(602\) −29.9584 + 14.5880i −1.22101 + 0.594561i
\(603\) −8.52401 14.9008i −0.347125 0.606808i
\(604\) −5.50713 + 7.03022i −0.224082 + 0.286056i
\(605\) 32.1364 + 8.61091i 1.30653 + 0.350083i
\(606\) −0.837446 14.3102i −0.0340189 0.581313i
\(607\) 1.86964 3.23831i 0.0758863 0.131439i −0.825585 0.564278i \(-0.809155\pi\)
0.901471 + 0.432839i \(0.142488\pi\)
\(608\) −8.72839 + 1.51026i −0.353983 + 0.0612489i
\(609\) 9.77592 + 23.7348i 0.396140 + 0.961782i
\(610\) −1.01993 5.26510i −0.0412959 0.213178i
\(611\) 10.1753 10.1753i 0.411648 0.411648i
\(612\) 0.213560 0.159173i 0.00863263 0.00643418i
\(613\) −4.21378 4.21378i −0.170193 0.170193i 0.616871 0.787064i \(-0.288400\pi\)
−0.787064 + 0.616871i \(0.788400\pi\)
\(614\) 12.2169 + 8.25178i 0.493034 + 0.333015i
\(615\) 4.71784 35.2921i 0.190242 1.42312i
\(616\) −1.80346 + 1.99522i −0.0726635 + 0.0803899i
\(617\) −19.3833 11.1910i −0.780343 0.450531i 0.0562088 0.998419i \(-0.482099\pi\)
−0.836552 + 0.547888i \(0.815432\pi\)
\(618\) 3.14912 + 0.649332i 0.126676 + 0.0261200i
\(619\) −4.10361 + 15.3149i −0.164938 + 0.615557i 0.833110 + 0.553107i \(0.186558\pi\)
−0.998048 + 0.0624496i \(0.980109\pi\)
\(620\) 0.806794 + 6.64110i 0.0324016 + 0.266713i
\(621\) 6.46164 46.9129i 0.259297 1.88255i
\(622\) 3.32026 9.62271i 0.133130 0.385836i
\(623\) −5.45314 9.44511i −0.218475 0.378410i
\(624\) 16.4021 37.2575i 0.656611 1.49149i
\(625\) −13.5976 + 23.5518i −0.543905 + 0.942071i
\(626\) −9.88290 11.3837i −0.395000 0.454984i
\(627\) 0.995826 0.760977i 0.0397694 0.0303905i
\(628\) 19.7969 + 26.3415i 0.789982 + 1.05114i
\(629\) −0.0341399 0.0341399i −0.00136125 0.00136125i
\(630\) −25.4203 8.88460i −1.01277 0.353971i
\(631\) 38.2887i 1.52425i 0.647429 + 0.762125i \(0.275844\pi\)
−0.647429 + 0.762125i \(0.724156\pi\)
\(632\) 8.93068 17.4445i 0.355243 0.693906i
\(633\) 30.9926 12.7653i 1.23185 0.507374i
\(634\) −1.49647 + 21.2054i −0.0594326 + 0.842176i
\(635\) −31.6922 + 8.49189i −1.25767 + 0.336990i
\(636\) −3.24273 + 11.5460i −0.128582 + 0.457830i
\(637\) −15.6960 4.20574i −0.621900 0.166638i
\(638\) −4.44911 1.53514i −0.176142 0.0607767i
\(639\) 5.26692 + 19.9744i 0.208356 + 0.790175i
\(640\) −34.8801 + 1.06154i −1.37876 + 0.0419611i
\(641\) −8.82135 15.2790i −0.348422 0.603485i 0.637547 0.770412i \(-0.279949\pi\)
−0.985969 + 0.166926i \(0.946616\pi\)
\(642\) −9.07042 4.55220i −0.357981 0.179661i
\(643\) 7.49737 + 27.9805i 0.295667 + 1.10345i 0.940686 + 0.339278i \(0.110183\pi\)
−0.645019 + 0.764167i \(0.723150\pi\)
\(644\) 34.7943 14.0060i 1.37109 0.551914i
\(645\) 60.6634 7.86358i 2.38862 0.309628i
\(646\) −0.0814652 0.0550249i −0.00320520 0.00216492i
\(647\) 5.73725i 0.225555i −0.993620 0.112777i \(-0.964025\pi\)
0.993620 0.112777i \(-0.0359747\pi\)
\(648\) −22.5659 11.7804i −0.886473 0.462779i
\(649\) 1.71802i 0.0674380i
\(650\) −20.9931 + 31.0806i −0.823417 + 1.21908i
\(651\) −3.83317 + 0.496880i −0.150234 + 0.0194742i
\(652\) −5.80985 + 13.6386i −0.227531 + 0.534127i
\(653\) 10.0743 + 37.5980i 0.394239 + 1.47132i 0.823072 + 0.567938i \(0.192259\pi\)
−0.428832 + 0.903384i \(0.641075\pi\)
\(654\) 17.8990 35.6645i 0.699907 1.39459i
\(655\) 29.6942 + 51.4318i 1.16025 + 2.00961i
\(656\) 25.8839 6.38322i 1.01060 0.249223i
\(657\) 10.0939 + 38.2805i 0.393802 + 1.49346i
\(658\) 2.32467 6.73732i 0.0906251 0.262648i
\(659\) −38.3072 10.2644i −1.49224 0.399844i −0.581745 0.813371i \(-0.697630\pi\)
−0.910492 + 0.413528i \(0.864297\pi\)
\(660\) 4.30517 2.41718i 0.167579 0.0940888i
\(661\) 5.49909 1.47348i 0.213890 0.0573116i −0.150283 0.988643i \(-0.548018\pi\)
0.364173 + 0.931331i \(0.381352\pi\)
\(662\) 35.6089 + 2.51293i 1.38398 + 0.0976678i
\(663\) 0.417734 0.172057i 0.0162234 0.00668214i
\(664\) 0.529015 + 1.63885i 0.0205298 + 0.0635995i
\(665\) 9.93883i 0.385411i
\(666\) −1.52244 + 4.35593i −0.0589932 + 0.168789i
\(667\) 46.4121 + 46.4121i 1.79708 + 1.79708i
\(668\) 25.8317 + 3.66415i 0.999458 + 0.141770i
\(669\) −5.71933 + 4.37052i −0.221122 + 0.168974i
\(670\) −18.8484 + 16.3635i −0.728176 + 0.632175i
\(671\) −0.284064 + 0.492013i −0.0109662 + 0.0189940i
\(672\) −0.774831 20.1471i −0.0298898 0.777190i
\(673\) −2.23206 3.86604i −0.0860396 0.149025i 0.819794 0.572658i \(-0.194088\pi\)
−0.905834 + 0.423633i \(0.860754\pi\)
\(674\) 4.81855 + 1.66261i 0.185604 + 0.0640414i
\(675\) 18.5213 + 14.3886i 0.712886 + 0.553817i
\(676\) 26.5464 33.8883i 1.02102 1.30340i
\(677\) 2.16066 8.06369i 0.0830409 0.309913i −0.911895 0.410423i \(-0.865381\pi\)
0.994936 + 0.100511i \(0.0320476\pi\)
\(678\) 3.75204 18.1966i 0.144096 0.698835i
\(679\) −20.9681 12.1060i −0.804683 0.464584i
\(680\) −0.287306 0.259693i −0.0110177 0.00995876i
\(681\) 1.48017 11.0725i 0.0567203 0.424300i
\(682\) 0.396676 0.587284i 0.0151895 0.0224883i
\(683\) 3.00972 + 3.00972i 0.115164 + 0.115164i 0.762340 0.647177i \(-0.224050\pi\)
−0.647177 + 0.762340i \(0.724050\pi\)
\(684\) −1.35655 + 9.29697i −0.0518691 + 0.355478i
\(685\) −20.9082 + 20.9082i −0.798863 + 0.798863i
\(686\) −27.9004 + 5.40475i −1.06524 + 0.206354i
\(687\) 6.40550 + 15.5518i 0.244385 + 0.593338i
\(688\) 22.1019 + 40.1148i 0.842627 + 1.52936i
\(689\) −10.1709 + 17.6165i −0.387480 + 0.671135i
\(690\) −68.7382 + 4.02262i −2.61682 + 0.153138i
\(691\) −28.5847 7.65924i −1.08741 0.291371i −0.329783 0.944057i \(-0.606976\pi\)
−0.757629 + 0.652686i \(0.773642\pi\)
\(692\) −2.85232 + 0.346514i −0.108429 + 0.0131725i
\(693\) 1.41647 + 2.47612i 0.0538071 + 0.0940601i
\(694\) 9.88662 + 20.3036i 0.375291 + 0.770713i
\(695\) 18.8453 10.8804i 0.714844 0.412715i
\(696\) 31.9047 15.0648i 1.20935 0.571031i
\(697\) 0.256228 + 0.147933i 0.00970532 + 0.00560337i
\(698\) 1.55965 22.1007i 0.0590337 0.836524i
\(699\) 38.1490 4.94511i 1.44293 0.187041i
\(700\) −2.60885 + 18.3920i −0.0986052 + 0.695152i
\(701\) −1.29990 + 1.29990i −0.0490966 + 0.0490966i −0.731229 0.682132i \(-0.761053\pi\)
0.682132 + 0.731229i \(0.261053\pi\)
\(702\) −32.1480 28.8236i −1.21335 1.08788i
\(703\) 1.70309 0.0642331
\(704\) 2.86395 + 2.33745i 0.107939 + 0.0880960i
\(705\) −7.98559 + 10.3642i −0.300755 + 0.390339i
\(706\) −4.39077 + 3.81191i −0.165249 + 0.143463i
\(707\) −3.11678 11.6320i −0.117219 0.437466i
\(708\) 8.99705 + 9.21560i 0.338130 + 0.346343i
\(709\) 9.80720 36.6010i 0.368317 1.37458i −0.494551 0.869149i \(-0.664667\pi\)
0.862868 0.505429i \(-0.168666\pi\)
\(710\) 27.0043 13.1495i 1.01345 0.493491i
\(711\) −14.6396 14.7567i −0.549027 0.553419i
\(712\) −12.5880 + 8.14040i −0.471755 + 0.305074i
\(713\) −8.55933 + 4.94173i −0.320550 + 0.185069i
\(714\) 0.148707 0.167194i 0.00556522 0.00625707i
\(715\) 8.08922 2.16750i 0.302520 0.0810599i
\(716\) 2.77978 6.52550i 0.103885 0.243869i
\(717\) 12.8782 + 5.36438i 0.480943 + 0.200337i
\(718\) 28.0322 5.43028i 1.04615 0.202656i
\(719\) 5.11125 0.190617 0.0953087 0.995448i \(-0.469616\pi\)
0.0953087 + 0.995448i \(0.469616\pi\)
\(720\) −10.4348 + 35.5117i −0.388883 + 1.32344i
\(721\) 2.70117 0.100597
\(722\) −22.9752 + 4.45067i −0.855049 + 0.165637i
\(723\) 13.9729 10.6776i 0.519658 0.397105i
\(724\) −28.3102 12.0598i −1.05214 0.448198i
\(725\) −31.3997 + 8.41353i −1.16616 + 0.312471i
\(726\) 25.8770 + 5.33570i 0.960385 + 0.198027i
\(727\) −18.6355 + 10.7592i −0.691154 + 0.399038i −0.804044 0.594570i \(-0.797322\pi\)
0.112890 + 0.993607i \(0.463989\pi\)
\(728\) 7.17444 33.4371i 0.265902 1.23926i
\(729\) −19.3187 + 18.8623i −0.715508 + 0.698605i
\(730\) 51.7531 25.2007i 1.91547 0.932719i
\(731\) −0.131557 + 0.490976i −0.00486580 + 0.0181594i
\(732\) −1.05287 4.12681i −0.0389152 0.152531i
\(733\) −0.799079 2.98220i −0.0295147 0.110150i 0.949597 0.313473i \(-0.101493\pi\)
−0.979112 + 0.203323i \(0.934826\pi\)
\(734\) −24.0063 + 20.8414i −0.886090 + 0.769271i
\(735\) 14.6445 + 1.95767i 0.540169 + 0.0722096i
\(736\) −21.6382 46.7937i −0.797593 1.72484i
\(737\) 2.64419 0.0973999
\(738\) 2.10289 28.1982i 0.0774086 1.03799i
\(739\) 23.9990 23.9990i 0.882818 0.882818i −0.111002 0.993820i \(-0.535406\pi\)
0.993820 + 0.111002i \(0.0354060\pi\)
\(740\) 6.64277 + 0.942257i 0.244193 + 0.0346381i
\(741\) −6.12786 + 14.7110i −0.225112 + 0.540422i
\(742\) −0.709223 + 10.0499i −0.0260364 + 0.368943i
\(743\) 14.4499 + 8.34266i 0.530116 + 0.306062i 0.741064 0.671435i \(-0.234322\pi\)
−0.210948 + 0.977497i \(0.567655\pi\)
\(744\) 0.947734 + 5.22759i 0.0347456 + 0.191653i
\(745\) 53.9230 31.1325i 1.97559 1.14061i
\(746\) −16.4438 33.7697i −0.602051 1.23640i
\(747\) 1.82656 + 0.00727726i 0.0668304 + 0.000266261i
\(748\) 0.00494772 + 0.0407271i 0.000180907 + 0.00148913i
\(749\) −8.23519 2.20661i −0.300907 0.0806278i
\(750\) −1.64822 + 3.28414i −0.0601845 + 0.119920i
\(751\) 17.1635 29.7281i 0.626305 1.08479i −0.361982 0.932185i \(-0.617900\pi\)
0.988287 0.152607i \(-0.0487669\pi\)
\(752\) −9.40983 2.72433i −0.343141 0.0993460i
\(753\) 16.5472 21.4760i 0.603012 0.782628i
\(754\) 58.7531 11.3814i 2.13966 0.414487i
\(755\) 9.73869 9.73869i 0.354427 0.354427i
\(756\) −20.5652 5.86428i −0.747950 0.213282i
\(757\) −24.0162 24.0162i −0.872884 0.872884i 0.119902 0.992786i \(-0.461742\pi\)
−0.992786 + 0.119902i \(0.961742\pi\)
\(758\) 7.42061 10.9863i 0.269529 0.399041i
\(759\) 5.77806 + 4.45198i 0.209730 + 0.161596i
\(760\) 13.6437 0.688757i 0.494907 0.0249838i
\(761\) 13.2713 + 7.66221i 0.481086 + 0.277755i 0.720869 0.693072i \(-0.243743\pi\)
−0.239783 + 0.970826i \(0.577076\pi\)
\(762\) −24.7313 + 8.20267i −0.895922 + 0.297151i
\(763\) 8.67629 32.3804i 0.314103 1.17225i
\(764\) 20.7583 + 16.2610i 0.751010 + 0.588303i
\(765\) −0.356554 + 0.203967i −0.0128912 + 0.00737444i
\(766\) 5.31813 + 1.83499i 0.192152 + 0.0663009i
\(767\) 10.9227 + 18.9186i 0.394395 + 0.683112i
\(768\) −27.6034 + 2.45984i −0.996053 + 0.0887619i
\(769\) 20.6394 35.7485i 0.744276 1.28912i −0.206256 0.978498i \(-0.566128\pi\)
0.950532 0.310626i \(-0.100539\pi\)
\(770\) 3.13210 2.71917i 0.112873 0.0979923i
\(771\) 33.1952 + 13.8274i 1.19550 + 0.497983i
\(772\) −4.89750 + 34.5267i −0.176265 + 1.24264i