Properties

Label 144.2.x.e.13.14
Level $144$
Weight $2$
Character 144.13
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 13.14
Character \(\chi\) \(=\) 144.13
Dual form 144.2.x.e.133.14

$q$-expansion

\(f(q)\) \(=\) \(q+(1.06791 + 0.927124i) q^{2} +(1.71768 - 0.222657i) q^{3} +(0.280882 + 1.98018i) q^{4} +(-0.798307 - 2.97932i) q^{5} +(2.04077 + 1.35472i) q^{6} +(-1.78208 + 1.02889i) q^{7} +(-1.53591 + 2.37507i) q^{8} +(2.90085 - 0.764906i) q^{9} +O(q^{10})\) \(q+(1.06791 + 0.927124i) q^{2} +(1.71768 - 0.222657i) q^{3} +(0.280882 + 1.98018i) q^{4} +(-0.798307 - 2.97932i) q^{5} +(2.04077 + 1.35472i) 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} +(-0.446347 - 0.119598i) q^{11} +(0.923366 + 3.33877i) q^{12} +(-5.67550 + 1.52075i) q^{13} +(-2.85702 - 0.553449i) q^{14} +(-2.03460 - 4.93977i) q^{15} +(-3.84221 + 1.11239i) q^{16} +0.0443921 q^{17} +(3.80702 + 1.87259i) q^{18} +(-1.10726 - 1.10726i) q^{19} +(5.67536 - 2.41763i) q^{20} +(-2.83196 + 2.16409i) q^{21} +(-0.365778 - 0.541540i) q^{22} +(7.89263 + 4.55681i) q^{23} +(-2.10938 + 4.42160i) q^{24} +(-3.90893 + 2.25682i) q^{25} +(-7.47087 - 3.63787i) q^{26} +(4.81242 - 1.95976i) q^{27} +(-2.53793 - 3.23984i) q^{28} +(1.86402 - 6.95662i) q^{29} +(2.40700 - 7.16158i) q^{30} +(0.542236 - 0.939180i) q^{31} +(-5.13448 - 2.37426i) q^{32} +(-0.793310 - 0.106049i) q^{33} +(0.0474070 + 0.0411570i) q^{34} +(4.48803 + 4.48803i) q^{35} +(2.32945 + 5.52935i) q^{36} +(-0.769054 + 0.769054i) q^{37} +(-0.155892 - 2.20903i) q^{38} +(-9.41009 + 3.87585i) q^{39} +(8.30223 + 2.67994i) q^{40} +(-5.77193 - 3.33242i) q^{41} +(-5.03067 - 0.314515i) q^{42} +(11.0600 + 2.96351i) q^{43} +(0.111455 - 0.917439i) q^{44} +(-4.59467 - 8.03193i) q^{45} +(4.20392 + 12.1837i) q^{46} +(-1.22453 - 2.12095i) q^{47} +(-6.35201 + 2.76623i) q^{48} +(-1.38279 + 2.39506i) q^{49} +(-6.26676 - 1.21397i) q^{50} +(0.0762514 - 0.00988420i) q^{51} +(-4.60550 - 10.8114i) q^{52} +(2.44801 - 2.44801i) q^{53} +(6.95619 + 2.36885i) q^{54} +1.42529i q^{55} +(0.293444 - 5.81285i) q^{56} +(-2.14846 - 1.65538i) q^{57} +(8.44027 - 5.70090i) q^{58} +(-0.962265 - 3.59122i) q^{59} +(9.21014 - 5.41637i) q^{60} +(0.318210 - 1.18758i) 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} +(-0.748867 - 0.848749i) q^{66} +(-5.52723 + 1.48102i) q^{67} +(0.0124689 + 0.0879043i) q^{68} +(14.5716 + 6.06980i) q^{69} +(0.631871 + 8.95379i) q^{70} +6.88571i q^{71} +(-2.63874 + 8.06455i) q^{72} +13.1963i q^{73} +(-1.53429 + 0.108275i) q^{74} +(-6.21180 + 4.74685i) q^{75} +(1.88156 - 2.50358i) q^{76} +(0.918480 - 0.246106i) q^{77} +(-13.6426 - 4.58525i) 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} +(0.157584 - 0.588112i) q^{83} +(-5.08073 - 4.99993i) q^{84} +(-0.0354385 - 0.132258i) q^{85} +(9.06357 + 13.4188i) q^{86} +(1.65285 - 12.3643i) q^{87} +(0.969604 - 0.876414i) q^{88} +5.30004i q^{89} +(2.53988 - 12.8372i) q^{90} +(8.54954 - 8.54954i) q^{91} +(-6.80640 + 16.9087i) q^{92} +(0.722273 - 1.73394i) q^{93} +(0.658691 - 3.40029i) q^{94} +(-2.41495 + 4.18282i) q^{95} +(-9.34804 - 2.93500i) q^{96} +(-5.88304 - 10.1897i) q^{97} +(-3.69722 + 1.27570i) q^{98} +(-1.38627 - 0.00552307i) 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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.06791 + 0.927124i 0.755129 + 0.655576i
\(3\) 1.71768 0.222657i 0.991703 0.128551i
\(4\) 0.280882 + 1.98018i 0.140441 + 0.990089i
\(5\) −0.798307 2.97932i −0.357014 1.33239i −0.877932 0.478786i \(-0.841077\pi\)
0.520918 0.853607i \(-0.325590\pi\)
\(6\) 2.04077 + 1.35472i 0.833139 + 0.553064i
\(7\) −1.78208 + 1.02889i −0.673564 + 0.388882i −0.797426 0.603417i \(-0.793805\pi\)
0.123862 + 0.992299i \(0.460472\pi\)
\(8\) −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
\(11\) −0.446347 0.119598i −0.134579 0.0360602i 0.190901 0.981609i \(-0.438859\pi\)
−0.325480 + 0.945549i \(0.605526\pi\)
\(12\) 0.923366 + 3.33877i 0.266553 + 0.963820i
\(13\) −5.67550 + 1.52075i −1.57410 + 0.421779i −0.937094 0.349078i \(-0.886495\pi\)
−0.637008 + 0.770857i \(0.719828\pi\)
\(14\) −2.85702 0.553449i −0.763570 0.147916i
\(15\) −2.03460 4.93977i −0.525332 1.27544i
\(16\) −3.84221 + 1.11239i −0.960553 + 0.278098i
\(17\) 0.0443921 0.0107667 0.00538333 0.999986i \(-0.498286\pi\)
0.00538333 + 0.999986i \(0.498286\pi\)
\(18\) 3.80702 + 1.87259i 0.897323 + 0.441374i
\(19\) −1.10726 1.10726i −0.254023 0.254023i 0.568595 0.822618i \(-0.307487\pi\)
−0.822618 + 0.568595i \(0.807487\pi\)
\(20\) 5.67536 2.41763i 1.26905 0.540598i
\(21\) −2.83196 + 2.16409i −0.617984 + 0.472243i
\(22\) −0.365778 0.541540i −0.0779841 0.115457i
\(23\) 7.89263 + 4.55681i 1.64573 + 0.950161i 0.978743 + 0.205089i \(0.0657485\pi\)
0.666984 + 0.745072i \(0.267585\pi\)
\(24\) −2.10938 + 4.42160i −0.430575 + 0.902555i
\(25\) −3.90893 + 2.25682i −0.781786 + 0.451364i
\(26\) −7.47087 3.63787i −1.46516 0.713445i
\(27\) 4.81242 1.95976i 0.926150 0.377155i
\(28\) −2.53793 3.23984i −0.479624 0.612273i
\(29\) 1.86402 6.95662i 0.346140 1.29181i −0.545134 0.838349i \(-0.683521\pi\)
0.891275 0.453464i \(-0.149812\pi\)
\(30\) 2.40700 7.16158i 0.439456 1.30752i
\(31\) 0.542236 0.939180i 0.0973884 0.168682i −0.813214 0.581964i \(-0.802284\pi\)
0.910603 + 0.413282i \(0.135618\pi\)
\(32\) −5.13448 2.37426i −0.907656 0.419715i
\(33\) −0.793310 0.106049i −0.138098 0.0184608i
\(34\) 0.0474070 + 0.0411570i 0.00813023 + 0.00705836i
\(35\) 4.48803 + 4.48803i 0.758615 + 0.758615i
\(36\) 2.32945 + 5.52935i 0.388241 + 0.921558i
\(37\) −0.769054 + 0.769054i −0.126432 + 0.126432i −0.767491 0.641060i \(-0.778495\pi\)
0.641060 + 0.767491i \(0.278495\pi\)
\(38\) −0.155892 2.20903i −0.0252890 0.358352i
\(39\) −9.41009 + 3.87585i −1.50682 + 0.620632i
\(40\) 8.30223 + 2.67994i 1.31270 + 0.423736i
\(41\) −5.77193 3.33242i −0.901423 0.520437i −0.0237617 0.999718i \(-0.507564\pi\)
−0.877662 + 0.479281i \(0.840898\pi\)
\(42\) −5.03067 0.314515i −0.776249 0.0485307i
\(43\) 11.0600 + 2.96351i 1.68663 + 0.451932i 0.969517 0.245023i \(-0.0787956\pi\)
0.717115 + 0.696955i \(0.245462\pi\)
\(44\) 0.111455 0.917439i 0.0168025 0.138309i
\(45\) −4.59467 8.03193i −0.684932 1.19733i
\(46\) 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 \(0.890496\pi\)
\(48\) −6.35201 + 2.76623i −0.916833 + 0.399271i
\(49\) −1.38279 + 2.39506i −0.197541 + 0.342151i
\(50\) −6.26676 1.21397i −0.886253 0.171681i
\(51\) 0.0762514 0.00988420i 0.0106773 0.00138406i
\(52\) −4.60550 10.8114i −0.638668 1.49927i
\(53\) 2.44801 2.44801i 0.336260 0.336260i −0.518698 0.854958i \(-0.673583\pi\)
0.854958 + 0.518698i \(0.173583\pi\)
\(54\) 6.95619 + 2.36885i 0.946617 + 0.322360i
\(55\) 1.42529i 0.192186i
\(56\) 0.293444 5.81285i 0.0392131 0.776775i
\(57\) −2.14846 1.65538i −0.284570 0.219260i
\(58\) 8.44027 5.70090i 1.10826 0.748565i
\(59\) −0.962265 3.59122i −0.125276 0.467537i 0.874573 0.484894i \(-0.161142\pi\)
−0.999849 + 0.0173563i \(0.994475\pi\)
\(60\) 9.21014 5.41637i 1.18902 0.699250i
\(61\) 0.318210 1.18758i 0.0407426 0.152054i −0.942558 0.334043i \(-0.891587\pi\)
0.983301 + 0.181989i \(0.0582536\pi\)
\(62\) 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
\(66\) −0.748867 0.848749i −0.0921791 0.104474i
\(67\) −5.52723 + 1.48102i −0.675258 + 0.180935i −0.580122 0.814529i \(-0.696995\pi\)
−0.0951361 + 0.995464i \(0.530329\pi\)
\(68\) 0.0124689 + 0.0879043i 0.00151208 + 0.0106600i
\(69\) 14.5716 + 6.06980i 1.75422 + 0.730718i
\(70\) 0.631871 + 8.95379i 0.0755230 + 1.07018i
\(71\) 6.88571i 0.817184i 0.912717 + 0.408592i \(0.133980\pi\)
−0.912717 + 0.408592i \(0.866020\pi\)
\(72\) −2.63874 + 8.06455i −0.310979 + 0.950417i
\(73\) 13.1963i 1.54451i 0.635312 + 0.772255i \(0.280871\pi\)
−0.635312 + 0.772255i \(0.719129\pi\)
\(74\) −1.53429 + 0.108275i −0.178358 + 0.0125868i
\(75\) −6.21180 + 4.74685i −0.717276 + 0.548119i
\(76\) 1.88156 2.50358i 0.215830 0.287181i
\(77\) 0.918480 0.246106i 0.104670 0.0280464i
\(78\) −13.6426 4.58525i −1.54472 0.519178i
\(79\) 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
\(83\) 0.157584 0.588112i 0.0172971 0.0645537i −0.956738 0.290951i \(-0.906028\pi\)
0.974035 + 0.226398i \(0.0726949\pi\)
\(84\) −5.08073 4.99993i −0.554353 0.545537i
\(85\) −0.0354385 0.132258i −0.00384385 0.0143454i
\(86\) 9.06357 + 13.4188i 0.977350 + 1.44698i
\(87\) 1.65285 12.3643i 0.177205 1.32559i
\(88\) 0.969604 0.876414i 0.103360 0.0934260i
\(89\) 5.30004i 0.561803i 0.959737 + 0.280902i \(0.0906335\pi\)
−0.959737 + 0.280902i \(0.909367\pi\)
\(90\) 2.53988 12.8372i 0.267727 1.35316i
\(91\) 8.54954 8.54954i 0.896235 0.896235i
\(92\) −6.80640 + 16.9087i −0.709616 + 1.76286i
\(93\) 0.722273 1.73394i 0.0748962 0.179802i
\(94\) 0.658691 3.40029i 0.0679388 0.350713i
\(95\) −2.41495 + 4.18282i −0.247769 + 0.429148i
\(96\) −9.34804 2.93500i −0.954080 0.299552i
\(97\) −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
\(99\) −1.38627 0.00552307i −0.139325 0.000555089i
\(100\) −5.56686 7.10648i −0.556686 0.710648i
\(101\) −5.65271 1.51464i −0.562466 0.150712i −0.0336269 0.999434i \(-0.510706\pi\)
−0.528839 + 0.848722i \(0.677372\pi\)
\(102\) 0.0905939 + 0.0601390i 0.00897013 + 0.00595465i
\(103\) −1.13680 0.656334i −0.112013 0.0646705i 0.442947 0.896548i \(-0.353933\pi\)
−0.554960 + 0.831877i \(0.687266\pi\)
\(104\) 5.10519 15.8155i 0.500605 1.55083i
\(105\) 8.70829 + 6.70971i 0.849842 + 0.654800i
\(106\) 4.88387 0.344656i 0.474364 0.0334760i
\(107\) −2.92966 + 2.92966i −0.283221 + 0.283221i −0.834392 0.551171i \(-0.814181\pi\)
0.551171 + 0.834392i \(0.314181\pi\)
\(108\) 5.23239 + 8.97898i 0.503487 + 0.864003i
\(109\) 11.5193 + 11.5193i 1.10335 + 1.10335i 0.994004 + 0.109344i \(0.0348750\pi\)
0.109344 + 0.994004i \(0.465125\pi\)
\(110\) −1.32142 + 1.52208i −0.125992 + 0.145125i
\(111\) −1.14975 + 1.49222i −0.109130 + 0.141636i
\(112\) 5.70261 5.93557i 0.538846 0.560859i
\(113\) 3.79250 6.56880i 0.356768 0.617941i −0.630651 0.776067i \(-0.717212\pi\)
0.987419 + 0.158126i \(0.0505452\pi\)
\(114\) −0.759627 3.75969i −0.0711456 0.352127i
\(115\) 7.27547 27.1524i 0.678441 2.53198i
\(116\) 14.2989 + 1.73710i 1.32762 + 0.161286i
\(117\) −15.3005 + 8.75268i −1.41454 + 0.809186i
\(118\) 2.30189 4.72726i 0.211906 0.435179i
\(119\) −0.0791104 + 0.0456744i −0.00725204 + 0.00418696i
\(120\) 14.8573 + 2.75473i 1.35628 + 0.251471i
\(121\) −9.34136 5.39324i −0.849214 0.490294i
\(122\) 1.44085 0.973209i 0.130449 0.0881102i
\(123\) −10.6563 4.43888i −0.960847 0.400240i
\(124\) 2.01205 + 0.809925i 0.180687 + 0.0727334i
\(125\) −1.06075 1.06075i −0.0948761 0.0948761i
\(126\) −8.71111 + 0.579876i −0.776047 + 0.0516594i
\(127\) −10.6374 −0.943915 −0.471958 0.881621i \(-0.656452\pi\)
−0.471958 + 0.881621i \(0.656452\pi\)
\(128\) 3.25928 10.8341i 0.288083 0.957606i
\(129\) 19.6574 + 2.62779i 1.73073 + 0.231364i
\(130\) −4.87433 + 25.1623i −0.427507 + 2.20688i
\(131\) −18.5982 + 4.98338i −1.62493 + 0.435400i −0.952446 0.304708i \(-0.901441\pi\)
−0.672488 + 0.740108i \(0.734774\pi\)
\(132\) −0.0128300 1.60068i −0.00111671 0.139322i
\(133\) 3.11247 + 0.833985i 0.269886 + 0.0723157i
\(134\) −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 −0.101502 0.994835i \(-0.532365\pi\)
0.810802 + 0.585321i \(0.199032\pi\)
\(138\) 9.93379 + 19.9917i 0.845620 + 1.70181i
\(139\) −1.82598 6.81465i −0.154878 0.578011i −0.999116 0.0420428i \(-0.986613\pi\)
0.844238 0.535968i \(-0.180053\pi\)
\(140\) −7.62649 + 10.1477i −0.644556 + 0.857637i
\(141\) −2.57560 3.37047i −0.216905 0.283845i
\(142\) −6.38391 + 7.35335i −0.535726 + 0.617080i
\(143\) 2.71512 0.227050
\(144\) −10.2948 + 6.16581i −0.857899 + 0.513818i
\(145\) −22.2141 −1.84478
\(146\) −12.2346 + 14.0925i −1.01254 + 1.16631i
\(147\) −1.84191 + 4.42183i −0.151918 + 0.364707i
\(148\) −1.73888 1.30685i −0.142935 0.107422i
\(149\) −5.22476 19.4991i −0.428029 1.59743i −0.757218 0.653162i \(-0.773442\pi\)
0.329189 0.944264i \(-0.393225\pi\)
\(150\) −11.0346 0.689877i −0.900970 0.0563283i
\(151\) −3.86699 + 2.23261i −0.314691 + 0.181687i −0.649024 0.760768i \(-0.724822\pi\)
0.334333 + 0.942455i \(0.391489\pi\)
\(152\) 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
\(155\) −3.23099 0.865741i −0.259519 0.0695380i
\(156\) −10.3180 17.5450i −0.826100 1.40472i
\(157\) 15.9143 4.26421i 1.27010 0.340321i 0.440029 0.897984i \(-0.354968\pi\)
0.830068 + 0.557662i \(0.188302\pi\)
\(158\) −1.86355 + 9.62000i −0.148256 + 0.765326i
\(159\) 3.65983 4.74996i 0.290243 0.376696i
\(160\) −2.97481 + 17.1926i −0.235179 + 1.35920i
\(161\) −18.7538 −1.47800
\(162\) 12.4759 + 2.52009i 0.980203 + 0.197997i
\(163\) 5.24124 + 5.24124i 0.410525 + 0.410525i 0.881922 0.471396i \(-0.156250\pi\)
−0.471396 + 0.881922i \(0.656250\pi\)
\(164\) 4.97756 12.3655i 0.388682 0.965580i
\(165\) 0.317350 + 2.44819i 0.0247056 + 0.190591i
\(166\) 0.713539 0.481953i 0.0553814 0.0374068i
\(167\) 11.2974 + 6.52257i 0.874220 + 0.504731i 0.868748 0.495254i \(-0.164925\pi\)
0.00547195 + 0.999985i \(0.498258\pi\)
\(168\) −0.790229 10.0500i −0.0609675 0.775371i
\(169\) 18.6403 10.7620i 1.43387 0.827847i
\(170\) 0.0847745 0.174096i 0.00650191 0.0133526i
\(171\) −4.05894 2.36504i −0.310395 0.180859i
\(172\) −2.76173 + 22.7331i −0.210580 + 1.73339i
\(173\) −0.371831 + 1.38769i −0.0282698 + 0.105504i −0.978619 0.205681i \(-0.934059\pi\)
0.950349 + 0.311185i \(0.100726\pi\)
\(174\) 13.2283 11.6716i 1.00284 0.884822i
\(175\) 4.64402 8.04369i 0.351055 0.608046i
\(176\) 1.84800 0.0369915i 0.139298 0.00278834i
\(177\) −2.45247 5.95432i −0.184339 0.447554i
\(178\) −4.91380 + 5.65999i −0.368305 + 0.424234i
\(179\) −2.50772 2.50772i −0.187436 0.187436i 0.607151 0.794587i \(-0.292312\pi\)
−0.794587 + 0.607151i \(0.792312\pi\)
\(180\) 14.6141 11.3543i 1.08927 0.846298i
\(181\) 10.8795 10.8795i 0.808666 0.808666i −0.175766 0.984432i \(-0.556240\pi\)
0.984432 + 0.175766i \(0.0562403\pi\)
\(182\) 17.0567 1.20369i 1.26432 0.0892236i
\(183\) 0.282161 2.11073i 0.0208580 0.156029i
\(184\) −22.9452 + 11.7467i −1.69154 + 0.865979i
\(185\) 2.90520 + 1.67732i 0.213594 + 0.123319i
\(186\) 2.37891 1.18207i 0.174430 0.0866733i
\(187\) −0.0198143 0.00530922i −0.00144896 0.000388248i
\(188\) 3.85592 3.02053i 0.281222 0.220295i
\(189\) −6.55976 + 8.44387i −0.477152 + 0.614201i
\(190\) −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 \(0.991609\pi\)
\(192\) −7.26179 11.8011i −0.524075 0.851672i
\(193\) 8.71808 15.1002i 0.627541 1.08693i −0.360503 0.932758i \(-0.617395\pi\)
0.988044 0.154175i \(-0.0492718\pi\)
\(194\) 3.16456 16.3361i 0.227202 1.17286i
\(195\) 19.0595 + 24.9416i 1.36488 + 1.78610i
\(196\) −5.13105 2.06544i −0.366503 0.147531i
\(197\) −8.36275 + 8.36275i −0.595822 + 0.595822i −0.939198 0.343376i \(-0.888429\pi\)
0.343376 + 0.939198i \(0.388429\pi\)
\(198\) −1.47529 1.29114i −0.104844 0.0917572i
\(199\) 15.6420i 1.10883i 0.832240 + 0.554416i \(0.187058\pi\)
−0.832240 + 0.554416i \(0.812942\pi\)
\(200\) 0.643658 12.7503i 0.0455135 0.901581i
\(201\) −9.16425 + 3.77459i −0.646396 + 0.266239i
\(202\) −4.63235 6.85827i −0.325931 0.482546i
\(203\) 3.83573 + 14.3151i 0.269216 + 1.00473i
\(204\) 0.0409901 + 0.148215i 0.00286988 + 0.0103771i
\(205\) −5.32059 + 19.8567i −0.371606 + 1.38685i
\(206\) −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
\(210\) 3.07897 + 15.2391i 0.212469 + 1.05159i
\(211\) −18.6925 + 5.00865i −1.28685 + 0.344810i −0.836462 0.548024i \(-0.815380\pi\)
−0.450386 + 0.892834i \(0.648713\pi\)
\(212\) 5.53510 + 4.15989i 0.380152 + 0.285703i
\(213\) 1.53315 + 11.8275i 0.105050 + 0.810404i
\(214\) −5.84479 + 0.412468i −0.399542 + 0.0281957i
\(215\) 35.3170i 2.40860i
\(216\) −2.73689 + 14.4399i −0.186221 + 0.982508i
\(217\) 2.23159i 0.151491i
\(218\) 1.62181 + 22.9814i 0.109842 + 1.55650i
\(219\) 2.93825 + 22.6670i 0.198548 + 1.53170i
\(220\) −2.82232 + 0.400338i −0.190281 + 0.0269908i
\(221\) −0.251948 + 0.0675091i −0.0169478 + 0.00454116i
\(222\) −2.61131 + 0.527603i −0.175260 + 0.0354104i
\(223\) −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
\(227\) −1.66928 + 6.22983i −0.110794 + 0.413488i −0.998938 0.0460768i \(-0.985328\pi\)
0.888144 + 0.459565i \(0.151995\pi\)
\(228\) 2.67448 4.71930i 0.177122 0.312543i
\(229\) 2.51329 + 9.37974i 0.166083 + 0.619831i 0.997900 + 0.0647799i \(0.0206345\pi\)
−0.831816 + 0.555051i \(0.812699\pi\)
\(230\) 32.9432 22.2512i 2.17221 1.46720i
\(231\) 1.52286 0.627237i 0.100197 0.0412692i
\(232\) 13.6595 + 15.1120i 0.896791 + 0.992149i
\(233\) 22.2096i 1.45500i −0.686108 0.727499i \(-0.740682\pi\)
0.686108 0.727499i \(-0.259318\pi\)
\(234\) −24.4545 4.83839i −1.59864 0.316295i
\(235\) −5.34145 + 5.34145i −0.348438 + 0.348438i
\(236\) 6.84098 2.91417i 0.445310 0.189696i
\(237\) 7.28681 + 9.53563i 0.473329 + 0.619406i
\(238\) −0.126829 0.0245688i −0.00822110 0.00159256i
\(239\) −4.02723 + 6.97537i −0.260500 + 0.451199i −0.966375 0.257137i \(-0.917221\pi\)
0.705875 + 0.708337i \(0.250554\pi\)
\(240\) 13.3123 + 16.7164i 0.859307 + 1.07904i
\(241\) 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
\(243\) 12.4611 9.36600i 0.799377 0.600829i
\(244\) 2.44099 + 0.296544i 0.156268 + 0.0189843i
\(245\) 8.23954 + 2.20778i 0.526405 + 0.141050i
\(246\) −7.26463 14.6201i −0.463176 0.932141i
\(247\) 7.96812 + 4.60040i 0.507000 + 0.292716i
\(248\) 1.39779 + 2.73035i 0.0887600 + 0.173377i
\(249\) 0.139732 1.04528i 0.00885516 0.0662417i
\(250\) −0.149343 2.11623i −0.00944528 0.133842i
\(251\) 11.0682 11.0682i 0.698617 0.698617i −0.265495 0.964112i \(-0.585535\pi\)
0.964112 + 0.265495i \(0.0855355\pi\)
\(252\) −9.84033 7.45702i −0.619883 0.469748i
\(253\) −2.97786 2.97786i −0.187217 0.187217i
\(254\) −11.3598 9.86217i −0.712778 0.618808i
\(255\) −0.0903202 0.219287i −0.00565607 0.0137323i
\(256\) 13.5252 8.54810i 0.845323 0.534256i
\(257\) −10.3807 + 17.9800i −0.647533 + 1.12156i 0.336177 + 0.941799i \(0.390866\pi\)
−0.983710 + 0.179761i \(0.942467\pi\)
\(258\) 18.5561 + 21.0311i 1.15525 + 1.30934i
\(259\) 0.579249 2.16179i 0.0359928 0.134327i
\(260\) −28.5339 + 22.3520i −1.76960 + 1.38621i
\(261\) 0.0860808 21.6059i 0.00532827 1.33737i
\(262\) −24.4815 11.9210i −1.51247 0.736484i
\(263\) 9.13436 5.27373i 0.563249 0.325192i −0.191200 0.981551i \(-0.561238\pi\)
0.754448 + 0.656359i \(0.227904\pi\)
\(264\) 1.47033 1.72129i 0.0904926 0.105938i
\(265\) −9.24767 5.33914i −0.568080 0.327981i
\(266\) 2.55065 + 3.77627i 0.156390 + 0.231538i
\(267\) 1.18009 + 9.10377i 0.0722203 + 0.557142i
\(268\) −4.48518 10.5289i −0.273976 0.643155i
\(269\) −0.529850 0.529850i −0.0323055 0.0323055i 0.690770 0.723075i \(-0.257272\pi\)
−0.723075 + 0.690770i \(0.757272\pi\)
\(270\) 1.50441 22.6158i 0.0915554 1.37635i
\(271\) 14.3682 0.872804 0.436402 0.899752i \(-0.356253\pi\)
0.436402 + 0.899752i \(0.356253\pi\)
\(272\) −0.170564 + 0.0493815i −0.0103419 + 0.00299419i
\(273\) 12.7818 16.5890i 0.773587 1.00401i
\(274\) 13.3099 + 2.57834i 0.804080 + 0.155763i
\(275\) 2.01465 0.539824i 0.121488 0.0325526i
\(276\) −7.92637 + 30.5593i −0.477112 + 1.83945i
\(277\) −8.19567 2.19602i −0.492430 0.131946i 0.00405455 0.999992i \(-0.498709\pi\)
−0.496485 + 0.868046i \(0.665376\pi\)
\(278\) 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 −0.673874 0.738847i \(-0.735371\pi\)
0.302923 + 0.953015i \(0.402038\pi\)
\(282\) 0.374322 5.98728i 0.0222905 0.356537i
\(283\) 3.98753 + 14.8817i 0.237034 + 0.884623i 0.977221 + 0.212222i \(0.0680701\pi\)
−0.740187 + 0.672401i \(0.765263\pi\)
\(284\) −13.6349 + 1.93407i −0.809085 + 0.114766i
\(285\) −3.21678 + 7.72245i −0.190546 + 0.457438i
\(286\) 2.89952 + 2.51725i 0.171452 + 0.148848i
\(287\) 13.7147 0.809555
\(288\) −16.7104 2.95999i −0.984672 0.174419i
\(289\) −16.9980 −0.999884
\(290\) −23.7227 20.5952i −1.39305 1.20939i
\(291\) −12.3740 16.1928i −0.725377 0.949239i
\(292\) −26.1310 + 3.70661i −1.52920 + 0.216913i
\(293\) 4.11281 + 15.3492i 0.240273 + 0.896711i 0.975701 + 0.219108i \(0.0703146\pi\)
−0.735428 + 0.677603i \(0.763019\pi\)
\(294\) −6.06659 + 3.01446i −0.353811 + 0.175807i
\(295\) −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
\(299\) −51.7244 13.8595i −2.99130 0.801517i
\(300\) −11.1444 10.9672i −0.643421 0.633189i
\(301\) −22.7589 + 6.09824i −1.31180 + 0.351496i
\(302\) −6.19951 1.20094i −0.356742 0.0691066i
\(303\) −10.0468 1.34305i −0.577173 0.0771563i
\(304\) 5.48604 + 3.02262i 0.314646 + 0.173359i
\(305\) −3.79220 −0.217141
\(306\) 0.169002 + 0.0831283i 0.00966118 + 0.00475213i
\(307\) 7.37130 + 7.37130i 0.420702 + 0.420702i 0.885446 0.464743i \(-0.153853\pi\)
−0.464743 + 0.885446i \(0.653853\pi\)
\(308\) 0.745318 + 1.74963i 0.0424684 + 0.0996942i
\(309\) −2.09880 0.874254i −0.119397 0.0497346i
\(310\) −2.64777 3.92006i −0.150383 0.222645i
\(311\) 6.23360 + 3.59897i 0.353475 + 0.204079i 0.666215 0.745760i \(-0.267913\pi\)
−0.312740 + 0.949839i \(0.601247\pi\)
\(312\) 5.24767 28.3026i 0.297091 1.60232i
\(313\) 9.23161 5.32987i 0.521801 0.301262i −0.215870 0.976422i \(-0.569259\pi\)
0.737671 + 0.675160i \(0.235925\pi\)
\(314\) 20.9485 + 10.2007i 1.18219 + 0.575658i
\(315\) 16.4520 + 9.58617i 0.926966 + 0.540119i
\(316\) −10.9090 + 8.54560i −0.613681 + 0.480727i
\(317\) −3.89052 + 14.5196i −0.218513 + 0.815503i 0.766387 + 0.642379i \(0.222053\pi\)
−0.984900 + 0.173123i \(0.944614\pi\)
\(318\) 8.31219 1.67944i 0.466124 0.0941781i
\(319\) −1.66400 + 2.88213i −0.0931662 + 0.161369i
\(320\) −19.1166 + 15.6023i −1.06865 + 0.872193i
\(321\) −4.37991 + 5.68453i −0.244463 + 0.317280i
\(322\) −20.0274 17.3871i −1.11608 0.968943i
\(323\) −0.0491536 0.0491536i −0.00273498 0.00273498i
\(324\) 10.9868 + 14.2580i 0.610378 + 0.792110i
\(325\) 18.7531 18.7531i 1.04023 1.04023i
\(326\) 0.737916 + 10.4565i 0.0408694 + 0.579130i
\(327\) 22.3513 + 17.2216i 1.23603 + 0.952357i
\(328\) 16.7799 8.59044i 0.926516 0.474328i
\(329\) 4.36444 + 2.51981i 0.240619 + 0.138922i
\(330\) −1.93087 + 2.90868i −0.106291 + 0.160117i
\(331\) −24.3818 6.53309i −1.34015 0.359091i −0.483658 0.875257i \(-0.660692\pi\)
−0.856488 + 0.516166i \(0.827359\pi\)
\(332\) 1.20883 + 0.146855i 0.0663431 + 0.00805969i
\(333\) −1.64265 + 2.81916i −0.0900169 + 0.154489i
\(334\) 6.01745 + 17.4396i 0.329260 + 0.954255i
\(335\) 8.82485 + 15.2851i 0.482153 + 0.835113i
\(336\) 8.47366 11.4651i 0.462276 0.625474i
\(337\) 1.80217 3.12146i 0.0981707 0.170037i −0.812757 0.582603i \(-0.802034\pi\)
0.910928 + 0.412566i \(0.135368\pi\)
\(338\) 29.8840 + 5.78901i 1.62548 + 0.314881i
\(339\) 5.05171 12.1275i 0.274371 0.658677i
\(340\) 0.251941 0.107324i 0.0136634 0.00582044i
\(341\) −0.354350 + 0.354350i −0.0191891 + 0.0191891i
\(342\) −2.14192 6.28881i −0.115822 0.340060i
\(343\) 20.0953i 1.08505i
\(344\) −24.0257 + 21.7166i −1.29538 + 1.17088i
\(345\) 6.45126 48.2591i 0.347324 2.59818i
\(346\) −1.68365 + 1.13720i −0.0905134 + 0.0611364i
\(347\) −4.13293 15.4243i −0.221867 0.828020i −0.983635 0.180170i \(-0.942335\pi\)
0.761768 0.647850i \(-0.224331\pi\)
\(348\) 24.9478 0.199964i 1.33734 0.0107192i
\(349\) 4.05477 15.1326i 0.217047 0.810029i −0.768389 0.639983i \(-0.778942\pi\)
0.985436 0.170047i \(-0.0543918\pi\)
\(350\) 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 \(0.798435\pi\)
\(354\) 2.90136 8.63245i 0.154205 0.458809i
\(355\) 20.5147 5.49691i 1.08881 0.291746i
\(356\) −10.4950 + 1.48869i −0.556235 + 0.0789003i
\(357\) −0.125717 + 0.0960684i −0.00665363 + 0.00508448i
\(358\) −0.353063 5.00300i −0.0186600 0.264417i
\(359\) 20.1902i 1.06560i 0.846242 + 0.532800i \(0.178860\pi\)
−0.846242 + 0.532800i \(0.821140\pi\)
\(360\) 26.1334 + 1.42367i 1.37735 + 0.0750340i
\(361\) 16.5479i 0.870945i
\(362\) 21.7050 1.53173i 1.14079 0.0805058i
\(363\) −17.2463 7.18394i −0.905196 0.377059i
\(364\) 19.3310 + 14.5282i 1.01322 + 0.761485i
\(365\) 39.3160 10.5347i 2.05789 0.551411i
\(366\) 2.25823 1.99248i 0.118040 0.104148i
\(367\) 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
\(371\) −1.84383 + 6.88128i −0.0957270 + 0.357258i
\(372\) 3.63639 + 0.943195i 0.188538 + 0.0489024i
\(373\) 6.87405 + 25.6543i 0.355925 + 1.32833i 0.879317 + 0.476237i \(0.158000\pi\)
−0.523392 + 0.852092i \(0.675334\pi\)
\(374\) −0.0162376 0.0240401i −0.000839628 0.00124308i
\(375\) −2.05821 1.58584i −0.106285 0.0818925i
\(376\) 6.91820 + 0.349244i 0.356779 + 0.0180109i
\(377\) 42.3171i 2.17944i
\(378\) −14.8338 + 2.93563i −0.762967 + 0.150992i
\(379\) −6.62881 + 6.62881i −0.340499 + 0.340499i −0.856555 0.516056i \(-0.827400\pi\)
0.516056 + 0.856555i \(0.327400\pi\)
\(380\) −8.96104 3.60715i −0.459692 0.185043i
\(381\) −18.2716 + 2.36848i −0.936083 + 0.121341i
\(382\) 3.54606 18.3055i 0.181432 0.936589i
\(383\) 1.98902 3.44509i 0.101634 0.176036i −0.810724 0.585429i \(-0.800926\pi\)
0.912358 + 0.409393i \(0.134259\pi\)
\(384\) 3.18613 19.3352i 0.162591 0.986693i
\(385\) −1.46646 2.53998i −0.0747376 0.129449i
\(386\) 23.3099 8.04293i 1.18644 0.409374i
\(387\) 34.3502 + 0.136856i 1.74612 + 0.00695676i
\(388\) 18.5250 14.5116i 0.940467 0.736714i
\(389\) −4.54738 1.21847i −0.230561 0.0617787i 0.141688 0.989911i \(-0.454747\pi\)
−0.372250 + 0.928133i \(0.621414\pi\)
\(390\) −2.76999 + 44.3060i −0.140264 + 2.24352i
\(391\) 0.350370 + 0.202286i 0.0177190 + 0.0102301i
\(392\) −3.56460 6.96283i −0.180040 0.351676i
\(393\) −30.8362 + 12.7009i −1.55548 + 0.640674i
\(394\) −16.6840 + 1.17740i −0.840529 + 0.0593163i
\(395\) 15.1119 15.1119i 0.760360 0.760360i
\(396\) −0.378441 2.74660i −0.0190174 0.138022i
\(397\) −18.1361 18.1361i −0.910223 0.910223i 0.0860661 0.996289i \(-0.472570\pi\)
−0.996289 + 0.0860661i \(0.972570\pi\)
\(398\) −14.5021 + 16.7043i −0.726923 + 0.837311i
\(399\) 5.53193 + 0.739506i 0.276943 + 0.0370216i
\(400\) 12.5085 13.0195i 0.625423 0.650973i
\(401\) −2.47526 + 4.28727i −0.123608 + 0.214096i −0.921188 0.389118i \(-0.872780\pi\)
0.797580 + 0.603214i \(0.206113\pi\)
\(402\) −13.2861 4.46546i −0.662653 0.222717i
\(403\) −1.64921 + 6.15492i −0.0821528 + 0.306599i
\(404\) 1.41151 11.6188i 0.0702253 0.578057i
\(405\) −19.4721 19.7849i −0.967576 0.983120i
\(406\) −9.17568 + 18.8435i −0.455381 + 0.935189i
\(407\) 0.435242 0.251287i 0.0215742 0.0124558i
\(408\) −0.0936398 + 0.196284i −0.00463586 + 0.00971750i
\(409\) 12.4390 + 7.18164i 0.615067 + 0.355109i 0.774946 0.632027i \(-0.217777\pi\)
−0.159879 + 0.987137i \(0.551110\pi\)
\(410\) −24.0916 + 16.2724i −1.18980 + 0.803638i
\(411\) 13.1932 10.0818i 0.650771 0.497297i
\(412\) 0.980350 2.43543i 0.0482984 0.119985i
\(413\) 5.40979 + 5.40979i 0.266199 + 0.266199i
\(414\) 21.5144 + 32.1276i 1.05737 + 1.57898i
\(415\) −1.87798 −0.0921862
\(416\) 32.7514 + 5.66691i 1.60577 + 0.277843i
\(417\) −4.65378 11.2988i −0.227896 0.553305i
\(418\) −0.194614 + 1.00464i −0.00951889 + 0.0491384i
\(419\) 24.4257 6.54483i 1.19327 0.319736i 0.393093 0.919499i \(-0.371405\pi\)
0.800178 + 0.599763i \(0.204738\pi\)
\(420\) −10.8404 + 19.1286i −0.528958 + 0.933380i
\(421\) −4.96853 1.33131i −0.242151 0.0648842i 0.135702 0.990750i \(-0.456671\pi\)
−0.377853 + 0.925865i \(0.623338\pi\)
\(422\) −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
\(426\) −9.32824 + 14.0521i −0.451955 + 0.680828i
\(427\) 0.654803 + 2.44376i 0.0316882 + 0.118262i
\(428\) −6.62414 4.97836i −0.320190 0.240638i
\(429\) 4.66371 0.604540i 0.225166 0.0291875i
\(430\) 32.7433 37.7156i 1.57902 1.81881i
\(431\) 20.0912 0.967760 0.483880 0.875134i \(-0.339227\pi\)
0.483880 + 0.875134i \(0.339227\pi\)
\(432\) −16.3103 + 12.8831i −0.784730 + 0.619838i
\(433\) 21.8262 1.04890 0.524449 0.851442i \(-0.324271\pi\)
0.524449 + 0.851442i \(0.324271\pi\)
\(434\) −2.06897 + 2.38315i −0.0993135 + 0.114395i
\(435\) −38.1567 + 4.94611i −1.82947 + 0.237148i
\(436\) −19.5747 + 26.0458i −0.937457 + 1.24737i
\(437\) −3.69362 13.7848i −0.176690 0.659415i
\(438\) −17.8773 + 26.9306i −0.854213 + 1.28679i
\(439\) −25.7554 + 14.8699i −1.22924 + 0.709700i −0.966870 0.255268i \(-0.917836\pi\)
−0.262367 + 0.964968i \(0.584503\pi\)
\(440\) −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
\(443\) 33.8185 + 9.06164i 1.60677 + 0.430532i 0.947077 0.321007i \(-0.104021\pi\)
0.659689 + 0.751539i \(0.270688\pi\)
\(444\) −3.27781 1.85758i −0.155558 0.0881567i
\(445\) 15.7905 4.23106i 0.748543 0.200571i
\(446\) 1.11773 5.76994i 0.0529260 0.273214i
\(447\) −13.3161 32.3298i −0.629828 1.52915i
\(448\) 13.3553 + 9.62499i 0.630976 + 0.454738i
\(449\) 27.6805 1.30633 0.653163 0.757217i \(-0.273442\pi\)
0.653163 + 0.757217i \(0.273442\pi\)
\(450\) −19.1075 + 1.27194i −0.900736 + 0.0599596i
\(451\) 2.17773 + 2.17773i 0.102545 + 0.102545i
\(452\) 14.0726 + 5.66476i 0.661921 + 0.266448i
\(453\) −6.14514 + 4.69591i −0.288724 + 0.220633i
\(454\) −7.55847 + 5.10530i −0.354737 + 0.239604i
\(455\) −32.2970 18.6467i −1.51411 0.874169i
\(456\) 7.23149 2.56023i 0.338646 0.119894i
\(457\) −13.8114 + 7.97402i −0.646070 + 0.373009i −0.786949 0.617018i \(-0.788341\pi\)
0.140879 + 0.990027i \(0.455007\pi\)
\(458\) −6.01220 + 12.3469i −0.280932 + 0.576932i
\(459\) 0.213633 0.0869977i 0.00997155 0.00406071i
\(460\) 55.8102 + 6.78009i 2.60216 + 0.316123i
\(461\) 4.87059 18.1773i 0.226846 0.846600i −0.754811 0.655943i \(-0.772271\pi\)
0.981657 0.190658i \(-0.0610620\pi\)
\(462\) 2.20781 + 0.742042i 0.102716 + 0.0345229i
\(463\) 6.07529 10.5227i 0.282343 0.489032i −0.689619 0.724173i \(-0.742222\pi\)
0.971961 + 0.235141i \(0.0755552\pi\)
\(464\) 0.576538 + 28.8023i 0.0267651 + 1.33712i
\(465\) −5.74257 0.767664i −0.266305 0.0355996i
\(466\) 20.5910 23.7179i 0.953862 1.09871i
\(467\) −15.9698 15.9698i −0.738992 0.738992i 0.233391 0.972383i \(-0.425018\pi\)
−0.972383 + 0.233391i \(0.925018\pi\)
\(468\) −21.6295 27.8393i −0.999825 1.28687i
\(469\) 8.32618 8.32618i 0.384467 0.384467i
\(470\) −10.6564 + 0.752025i −0.491543 + 0.0346883i
\(471\) 26.3862 10.8680i 1.21581 0.500770i
\(472\) 10.0074 + 3.23035i 0.460627 + 0.148689i
\(473\) −4.58216 2.64551i −0.210688 0.121641i
\(474\) −1.05902 + 16.9390i −0.0486424 + 0.778034i
\(475\) 6.82710 + 1.82931i 0.313249 + 0.0839347i
\(476\) −0.112664 0.143823i −0.00516395 0.00659214i
\(477\) 5.22881 8.97380i 0.239411 0.410882i
\(478\) −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 \(0.972591\pi\)
\(480\) −1.28171 + 30.1938i −0.0585018 + 1.37815i
\(481\) 3.19523 5.53430i 0.145690 0.252343i
\(482\) −2.73072 + 14.0965i −0.124381 + 0.642079i
\(483\) −32.2130 + 4.17565i −1.46574 + 0.189999i
\(484\) 8.05575 20.0124i 0.366170 0.909655i
\(485\) −25.6620 + 25.6620i −1.16525 + 1.16525i
\(486\) 21.9908 + 1.55086i 0.997522 + 0.0703484i
\(487\) 6.58835i 0.298547i −0.988796 0.149273i \(-0.952307\pi\)
0.988796 0.149273i \(-0.0476934\pi\)
\(488\) 2.33184 + 2.57978i 0.105557 + 0.116781i
\(489\) 10.1698 + 7.83577i 0.459893 + 0.354346i
\(490\) 6.75224 + 9.99679i 0.305035 + 0.451609i
\(491\) 1.30320 + 4.86361i 0.0588126 + 0.219491i 0.989077 0.147397i \(-0.0470896\pi\)
−0.930265 + 0.366889i \(0.880423\pi\)
\(492\) 5.79660 22.3482i 0.261331 1.00753i
\(493\) 0.0827478 0.308819i 0.00372678 0.0139085i
\(494\) 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
\(498\) 1.11832 0.986716i 0.0501132 0.0442158i
\(499\) −20.9744 + 5.62008i −0.938944 + 0.251589i −0.695664 0.718367i \(-0.744890\pi\)
−0.243279 + 0.969956i \(0.578223\pi\)
\(500\) 1.80252 2.39841i 0.0806113 0.107260i
\(501\) 20.8576 + 8.68824i 0.931851 + 0.388162i
\(502\) 22.0814 1.55829i 0.985542 0.0695500i
\(503\) 9.04140i 0.403136i 0.979475 + 0.201568i \(0.0646037\pi\)
−0.979475 + 0.201568i \(0.935396\pi\)
\(504\) −3.59505 17.0867i −0.160136 0.761100i
\(505\) 18.0504i 0.803232i
\(506\) −0.419255 5.94095i −0.0186381 0.264108i
\(507\) 29.6219 22.6361i 1.31556 1.00530i
\(508\) −2.98785 21.0639i −0.132564 0.934560i
\(509\) −14.1941 + 3.80331i −0.629144 + 0.168579i −0.559281 0.828978i \(-0.688923\pi\)
−0.0698626 + 0.997557i \(0.522256\pi\)
\(510\) 0.106852 0.317918i 0.00473148 0.0140776i
\(511\) −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
\(515\) −1.04791 + 3.91086i −0.0461765 + 0.172333i
\(516\) 0.317913 + 39.6632i 0.0139953 + 1.74607i
\(517\) 0.292904 + 1.09313i 0.0128819 + 0.0480760i
\(518\) 2.62283 1.77157i 0.115241 0.0778382i
\(519\) −0.329708 + 2.46640i −0.0144726 + 0.108263i
\(520\) −51.1949 2.58441i −2.24504 0.113334i
\(521\) 7.25761i 0.317962i 0.987282 + 0.158981i \(0.0508208\pi\)
−0.987282 + 0.158981i \(0.949179\pi\)
\(522\) 20.1233 22.9935i 0.880772 1.00640i
\(523\) −19.0736 + 19.0736i −0.834028 + 0.834028i −0.988065 0.154037i \(-0.950773\pi\)
0.154037 + 0.988065i \(0.450773\pi\)
\(524\) −15.0919 35.4280i −0.659292 1.54768i
\(525\) 6.18597 14.8505i 0.269978 0.648129i
\(526\) 14.6441 + 2.83680i 0.638514 + 0.123690i
\(527\) 0.0240710 0.0416922i 0.00104855 0.00181614i
\(528\) 3.16603 0.475009i 0.137784 0.0206721i
\(529\) 30.0291 + 52.0119i 1.30561 + 2.26139i
\(530\) −4.92567 14.2755i −0.213957 0.620087i
\(531\) −5.53833 9.68155i −0.240343 0.420143i
\(532\) −0.777200 + 6.39750i −0.0336959 + 0.277367i
\(533\) 37.8264 + 10.1355i 1.63844 + 0.439019i
\(534\) −7.18009 + 10.8161i −0.310713 + 0.468060i
\(535\) 11.0672 + 6.38963i 0.478476 + 0.276248i
\(536\) 4.97182 15.4023i 0.214750 0.665277i
\(537\) −4.86582 3.74910i −0.209976 0.161786i
\(538\) −0.0745977 1.05707i −0.00321614 0.0455735i
\(539\) 0.903648 0.903648i 0.0389229 0.0389229i
\(540\) 22.5742 22.7569i 0.971439 0.979303i
\(541\) 12.1246 + 12.1246i 0.521279 + 0.521279i 0.917957 0.396679i \(-0.129837\pi\)
−0.396679 + 0.917957i \(0.629837\pi\)
\(542\) 15.3440 + 13.3211i 0.659080 + 0.572189i
\(543\) 16.2651 21.1099i 0.698001 0.905911i
\(544\) −0.227930 0.105399i −0.00977243 0.00451893i
\(545\) 25.1237 43.5156i 1.07618 1.86400i
\(546\) 29.0299 5.86534i 1.24236 0.251013i
\(547\) −9.94693 + 37.1224i −0.425300 + 1.58724i 0.337967 + 0.941158i \(0.390261\pi\)
−0.763267 + 0.646083i \(0.776406\pi\)
\(548\) 11.8234 + 15.0934i 0.505070 + 0.644757i
\(549\) 0.0146950 3.68838i 0.000627167 0.157416i
\(550\) 2.65196 + 1.29135i 0.113080 + 0.0550632i
\(551\) −9.76675 + 5.63884i −0.416078 + 0.240223i
\(552\) −36.7969 + 25.2860i −1.56618 + 1.07624i
\(553\) −12.3477 7.12897i −0.525079 0.303155i
\(554\) −6.71629 9.94357i −0.285348 0.422462i
\(555\) 5.36367 + 2.23423i 0.227675 + 0.0948379i
\(556\) 12.9813 5.52988i 0.550531 0.234519i
\(557\) −7.00897 7.00897i −0.296979 0.296979i 0.542850 0.839830i \(-0.317345\pi\)
−0.839830 + 0.542850i \(0.817345\pi\)
\(558\) 3.82300 2.56009i 0.161841 0.108377i
\(559\) −67.2778 −2.84555
\(560\) −22.2364 12.2515i −0.939660 0.517720i
\(561\) −0.0352167 0.00470776i −0.00148685 0.000198762i
\(562\) −9.96906 1.93117i −0.420520 0.0814613i
\(563\) −6.06076 + 1.62398i −0.255430 + 0.0684424i −0.384262 0.923224i \(-0.625544\pi\)
0.128831 + 0.991667i \(0.458877\pi\)
\(564\) 5.95069 6.04686i 0.250569 0.254619i
\(565\) −22.5981 6.05515i −0.950711 0.254742i
\(566\) −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 −0.383980 0.923341i \(-0.625447\pi\)
0.607647 + 0.794207i \(0.292113\pi\)
\(570\) −10.5949 + 5.26456i −0.443772 + 0.220508i
\(571\) −4.83727 18.0529i −0.202433 0.755491i −0.990217 0.139539i \(-0.955438\pi\)
0.787783 0.615952i \(-0.211229\pi\)
\(572\) 0.762629 + 5.37643i 0.0318871 + 0.224800i
\(573\) −13.8657 18.1449i −0.579250 0.758015i
\(574\) 14.6462 + 12.7153i 0.611319 + 0.530725i
\(575\) −41.1357 −1.71548
\(576\) −15.1010 18.6537i −0.629210 0.777236i
\(577\) 11.2964 0.470277 0.235138 0.971962i \(-0.424446\pi\)
0.235138 + 0.971962i \(0.424446\pi\)
\(578\) −18.1524 15.7593i −0.755042 0.655500i
\(579\) 11.6127 27.8784i 0.482608 1.15859i
\(580\) −6.23954 43.9878i −0.259083 1.82650i
\(581\) 0.324272 + 1.21020i 0.0134531 + 0.0502076i
\(582\) 1.79836 28.7648i 0.0745444 1.19234i
\(583\) −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
\(587\) 37.0905 + 9.93836i 1.53089 + 0.410200i 0.923309 0.384059i \(-0.125474\pi\)
0.607579 + 0.794259i \(0.292141\pi\)
\(588\) −9.27338 2.40530i −0.382428 0.0991929i
\(589\) −1.64031 + 0.439521i −0.0675879 + 0.0181101i
\(590\) −15.9216 3.08427i −0.655483 0.126978i
\(591\) −12.5025 + 16.2266i −0.514285 + 0.667471i
\(592\) 2.09938 3.81036i 0.0862838 0.156605i
\(593\) 7.39166 0.303539 0.151770 0.988416i \(-0.451503\pi\)
0.151770 + 0.988416i \(0.451503\pi\)
\(594\) −2.82156 1.88928i −0.115770 0.0775180i
\(595\) 0.199233 + 0.199233i 0.00816776 + 0.00816776i
\(596\) 37.1441 15.8229i 1.52148 0.648131i
\(597\) 3.48280 + 26.8679i 0.142541 + 1.09963i
\(598\) −42.3878 62.7557i −1.73336 2.56627i
\(599\) −22.9017 13.2223i −0.935739 0.540249i −0.0471171 0.998889i \(-0.515003\pi\)
−0.888622 + 0.458640i \(0.848337\pi\)
\(600\) −1.73334 22.0442i −0.0707632 0.899951i
\(601\) 33.6284 19.4154i 1.37173 0.791970i 0.380587 0.924745i \(-0.375722\pi\)
0.991146 + 0.132775i \(0.0423887\pi\)
\(602\) −29.9584 14.5880i −1.22101 0.594561i
\(603\) −14.9008 + 8.52401i −0.606808 + 0.347125i
\(604\) −5.50713 7.03022i −0.224082 0.286056i
\(605\) −8.61091 + 32.1364i −0.350083 + 1.30653i
\(606\) −9.48394 10.7489i −0.385259 0.436644i
\(607\) 1.86964 3.23831i 0.0758863 0.131439i −0.825585 0.564278i \(-0.809155\pi\)
0.901471 + 0.432839i \(0.142488\pi\)
\(608\) 3.05628 + 8.31414i 0.123948 + 0.337183i
\(609\) 9.77592 + 23.7348i 0.396140 + 0.961782i
\(610\) −4.04974 3.51584i −0.163969 0.142352i
\(611\) 10.1753 + 10.1753i 0.411648 + 0.411648i
\(612\) 0.103409 + 0.245459i 0.00418006 + 0.00992210i
\(613\) −4.21378 + 4.21378i −0.170193 + 0.170193i −0.787064 0.616871i \(-0.788400\pi\)
0.616871 + 0.787064i \(0.288400\pi\)
\(614\) 1.03781 + 14.7060i 0.0418825 + 0.593487i
\(615\) −4.71784 + 35.2921i −0.190242 + 1.42312i
\(616\) −0.826185 + 2.55945i −0.0332879 + 0.103123i
\(617\) 19.3833 + 11.1910i 0.780343 + 0.450531i 0.836552 0.547888i \(-0.184568\pi\)
−0.0562088 + 0.998419i \(0.517901\pi\)
\(618\) −1.43080 2.87948i −0.0575551 0.115830i
\(619\) 15.3149 + 4.10361i 0.615557 + 0.164938i 0.553107 0.833110i \(-0.313442\pi\)
0.0624496 + 0.998048i \(0.480109\pi\)
\(620\) 0.806794 6.64110i 0.0324016 0.266713i
\(621\) 46.9129 + 6.46164i 1.88255 + 0.259297i
\(622\) 3.32026 + 9.62271i 0.133130 + 0.385836i
\(623\) −5.45314 9.44511i −0.218475 0.378410i
\(624\) 31.8441 25.3595i 1.27478 1.01519i
\(625\) −13.5976 + 23.5518i −0.543905 + 0.942071i
\(626\) 14.8000 + 2.86700i 0.591528 + 0.114588i
\(627\) 0.760977 + 0.995826i 0.0303905 + 0.0397694i
\(628\) 12.9139 + 30.3153i 0.515322 + 1.20971i
\(629\) −0.0341399 + 0.0341399i −0.00136125 + 0.00136125i
\(630\) 8.68177 + 25.4903i 0.345890 + 1.01556i
\(631\) 38.2887i 1.52425i −0.647429 0.762125i \(-0.724156\pi\)
0.647429 0.762125i \(-0.275844\pi\)
\(632\) −19.5727 0.988069i −0.778562 0.0393033i
\(633\) −30.9926 + 12.7653i −1.23185 + 0.507374i
\(634\) −17.6162 + 11.8987i −0.699629 + 0.472558i
\(635\) 8.49189 + 31.6922i 0.336990 + 1.25767i
\(636\) 10.4338 + 5.91294i 0.413725 + 0.234463i
\(637\) 4.20574 15.6960i 0.166638 0.621900i
\(638\) −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 \(0.946616\pi\)
\(642\) −9.94764 + 2.00987i −0.392602 + 0.0793232i
\(643\) −27.9805 + 7.49737i −1.10345 + 0.295667i −0.764167 0.645019i \(-0.776850\pi\)
−0.339278 + 0.940686i \(0.610183\pi\)
\(644\) −5.26760 37.1358i −0.207572 1.46335i
\(645\) −7.86358 60.6634i −0.309628 2.38862i
\(646\) −0.00692035 0.0980634i −0.000272278 0.00385825i
\(647\) 5.73725i 0.225555i 0.993620 + 0.112777i \(0.0359747\pi\)
−0.993620 + 0.112777i \(0.964025\pi\)
\(648\) −1.48596 + 25.4124i −0.0583741 + 0.998295i
\(649\) 1.71802i 0.0674380i
\(650\) 37.4132 2.64026i 1.46746 0.103559i
\(651\) 0.496880 + 3.83317i 0.0194742 + 0.150234i
\(652\) −8.90641 + 11.8508i −0.348802 + 0.464111i
\(653\) −37.5980 + 10.0743i −1.47132 + 0.394239i −0.903384 0.428832i \(-0.858925\pi\)
−0.567938 + 0.823072i \(0.692259\pi\)
\(654\) 7.90271 + 39.1136i 0.309020 + 1.52946i
\(655\) 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
\(659\) 10.2644 38.3072i 0.399844 1.49224i −0.413528 0.910492i \(-0.635703\pi\)
0.813371 0.581745i \(-0.197630\pi\)
\(660\) −4.75871 + 1.31606i −0.185232 + 0.0512276i
\(661\) −1.47348 5.49909i −0.0573116 0.213890i 0.931331 0.364173i \(-0.118648\pi\)
−0.988643 + 0.150283i \(0.951982\pi\)
\(662\) −19.9807 29.5817i −0.776572 1.14973i
\(663\) −0.417734 + 0.172057i −0.0162234 + 0.00668214i
\(664\) 1.15477 + 1.27756i 0.0448139 + 0.0495791i
\(665\) 9.93883i 0.385411i
\(666\) −4.36793 + 1.48768i −0.169254 + 0.0576464i
\(667\) 46.4121 46.4121i 1.79708 1.79708i
\(668\) −9.74260 + 24.2030i −0.376953 + 0.936441i
\(669\) −4.37052 5.71933i −0.168974 0.221122i
\(670\) −4.74699 + 24.5049i −0.183392 + 0.946706i
\(671\) −0.284064 + 0.492013i −0.0109662 + 0.0189940i
\(672\) 19.6787 4.38765i 0.759124 0.169257i
\(673\) −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
\(675\) −14.3886 + 18.5213i −0.553817 + 0.712886i
\(676\) 26.5464 + 33.8883i 1.02102 + 1.30340i
\(677\) −8.06369 2.16066i −0.309913 0.0830409i 0.100511 0.994936i \(-0.467952\pi\)
−0.410423 + 0.911895i \(0.634619\pi\)
\(678\) 16.6385 8.26759i 0.638998 0.317515i
\(679\) 20.9681 + 12.1060i 0.804683 + 0.464584i
\(680\) 0.368554 + 0.118968i 0.0141334 + 0.00456222i
\(681\) −1.48017 + 11.0725i −0.0567203 + 0.424300i
\(682\) −0.706941 + 0.0498890i −0.0270702 + 0.00191035i
\(683\) 3.00972 3.00972i 0.115164 0.115164i −0.647177 0.762340i \(-0.724050\pi\)
0.762340 + 0.647177i \(0.224050\pi\)
\(684\) 3.54312 8.70173i 0.135475 0.332719i
\(685\) −20.9082 20.9082i −0.798863 0.798863i
\(686\) 18.6309 21.4601i 0.711329 0.819350i
\(687\) 6.40550 + 15.5518i 0.244385 + 0.593338i
\(688\) −45.7914 + 0.916609i −1.74578 + 0.0349454i
\(689\) −10.1709 + 17.6165i −0.387480 + 0.671135i
\(690\) 51.6315 45.5555i 1.96558 1.73427i
\(691\) 7.65924 28.5847i 0.291371 1.08741i −0.652686 0.757629i \(-0.726358\pi\)
0.944057 0.329783i \(-0.106976\pi\)
\(692\) −2.85232 0.346514i −0.108429 0.0131725i
\(693\) 2.47612 1.41647i 0.0940601 0.0538071i
\(694\) 9.88662 20.3036i 0.375291 0.770713i
\(695\) −18.8453 + 10.8804i −0.714844 + 0.412715i
\(696\) 26.8275 + 22.9161i 1.01689 + 0.868633i
\(697\) −0.256228 0.147933i −0.00970532 0.00560337i
\(698\) 18.3599 12.4010i 0.694934 0.469386i
\(699\) −4.94511 38.1490i −0.187041 1.44293i
\(700\) 17.2324 + 6.93667i 0.651322 + 0.262181i
\(701\) −1.29990 1.29990i −0.0490966 0.0490966i 0.682132 0.731229i \(-0.261053\pi\)
−0.731229 + 0.682132i \(0.761053\pi\)
\(702\) −43.0823 2.86585i −1.62604 0.108164i
\(703\) 1.70309 0.0642331
\(704\) 0.592320 + 3.64898i 0.0223239 + 0.137526i
\(705\) −7.98559 + 10.3642i −0.300755 + 0.390339i
\(706\) −1.10582 + 5.70848i −0.0416182 + 0.214841i
\(707\) 11.6320 3.11678i 0.437466 0.117219i
\(708\) 11.1018 6.52880i 0.417229 0.245367i
\(709\) −36.6010 9.80720i −1.37458 0.368317i −0.505429 0.862868i \(-0.668666\pi\)
−0.869149 + 0.494551i \(0.835333\pi\)
\(710\) 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
\(714\) −0.223322 0.0139620i −0.00835761 0.000522514i
\(715\) −2.16750 8.08922i −0.0810599 0.302520i
\(716\) 4.26136 5.67011i 0.159255 0.211902i
\(717\) −5.36438 + 12.8782i −0.200337 + 0.480943i
\(718\) −18.7188 + 21.5614i −0.698581 + 0.804665i
\(719\) 5.11125 0.190617 0.0953087 0.995448i \(-0.469616\pi\)
0.0953087 + 0.995448i \(0.469616\pi\)
\(720\) 26.5883 + 25.7493i 0.990889 + 0.959619i
\(721\) 2.70117 0.100597
\(722\) 15.3420 17.6718i 0.570970 0.657676i
\(723\) 10.6776 + 13.9729i 0.397105 + 0.519658i
\(724\) 24.5992 + 18.4875i 0.914221 + 0.687081i
\(725\) 8.41353 + 31.3997i 0.312471 + 1.16616i
\(726\) −11.7572 23.6613i −0.436350 0.878153i
\(727\) 18.6355 10.7592i 0.691154 0.399038i −0.112890 0.993607i \(-0.536011\pi\)
0.804044 + 0.594570i \(0.202678\pi\)
\(728\) 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
\(731\) 0.490976 + 0.131557i 0.0181594 + 0.00486580i
\(732\) 4.25887 0.0341362i 0.157412 0.00126171i
\(733\) 2.98220 0.799079i 0.110150 0.0295147i −0.203323 0.979112i \(-0.565174\pi\)
0.313473 + 0.949597i \(0.398507\pi\)
\(734\) −6.04603 + 31.2108i −0.223163 + 1.15201i
\(735\) 14.6445 + 1.95767i 0.540169 + 0.0722096i
\(736\) −29.7055 42.1361i −1.09496 1.55316i
\(737\) 2.64419 0.0973999
\(738\) −15.7336 23.4951i −0.579161 0.864865i
\(739\) 23.9990 + 23.9990i 0.882818 + 0.882818i 0.993820 0.111002i \(-0.0354060\pi\)
−0.111002 + 0.993820i \(0.535406\pi\)
\(740\) −2.50537 + 6.22394i −0.0920992 + 0.228797i
\(741\) 14.7110 + 6.12786i 0.540422 + 0.225112i
\(742\) −8.34885 + 5.63915i −0.306496 + 0.207020i
\(743\) −14.4499 8.34266i −0.530116 0.306062i 0.210948 0.977497i \(-0.432345\pi\)
−0.741064 + 0.671435i \(0.765678\pi\)
\(744\) 3.00889 + 4.37864i 0.110311 + 0.160529i
\(745\) −53.9230 + 31.1325i −1.97559 + 1.14061i
\(746\) −16.4438 + 33.7697i −0.602051 + 1.23640i
\(747\) 0.00727726 1.82656i 0.000266261 0.0668304i
\(748\) 0.00494772 0.0407271i 0.000180907 0.00148913i
\(749\) 2.20661 8.23519i 0.0806278 0.300907i
\(750\) −0.727717 3.60176i −0.0265725 0.131518i
\(751\) 17.1635 29.7281i 0.626305 1.08479i −0.361982 0.932185i \(-0.617900\pi\)
0.988287 0.152607i \(-0.0487669\pi\)
\(752\) 7.06425 + 6.78699i 0.257607 + 0.247496i
\(753\) 16.5472 21.4760i 0.603012 0.782628i
\(754\) −39.2332 + 45.1910i −1.42879 + 1.64576i
\(755\) 9.73869 + 9.73869i 0.354427 + 0.354427i
\(756\) −18.5629 10.6178i −0.675126 0.386164i
\(757\) −24.0162 + 24.0162i −0.872884 + 0.872884i −0.992786 0.119902i \(-0.961742\pi\)
0.119902 + 0.992786i \(0.461742\pi\)
\(758\) −13.2247 + 0.933273i −0.480344 + 0.0338980i
\(759\) −5.77806 4.45198i −0.209730 0.161596i
\(760\) −6.22534 12.1601i −0.225817 0.441094i
\(761\) −13.2713 7.66221i −0.481086 0.277755i 0.239783 0.970826i \(-0.422924\pi\)
−0.720869 + 0.693072i \(0.756257\pi\)
\(762\) −21.7084 14.4107i −0.786412 0.522045i
\(763\) −32.3804 8.67629i −1.17225 0.314103i
\(764\) 20.7583 16.2610i 0.751010 0.588303i
\(765\) −0.203967 0.356554i −0.00737444 0.0128912i
\(766\) 5.31813 1.83499i 0.192152 0.0663009i
\(767\) 10.9227 + 18.9186i 0.394395 + 0.683112i
\(768\) 21.3286 17.6944i 0.769630 0.638490i
\(769\) 20.6394 35.7485i 0.744276 1.28912i −0.206256 0.978498i \(-0.566128\pi\)
0.950532 0.310626i \(-0.100539\pi\)
\(770\) 0.788824 4.07207i 0.0284272 0.146747i
\(771\) −13.8274 + 33.1952i −0.497983 + 1.19550i
\(772\) 32.3497 + 13.0220i 1.16429 + 0.468671i