Properties

Label 576.2.bm.a.205.88
Level $576$
Weight $2$
Character 576.205
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bm (of order \(48\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 205.88
Character \(\chi\) \(=\) 576.205
Dual form 576.2.bm.a.517.88

$q$-expansion

\(f(q)\) \(=\) \(q+(1.38225 + 0.298980i) q^{2} +(0.914527 - 1.47093i) q^{3} +(1.82122 + 0.826530i) q^{4} +(1.56322 + 1.78251i) q^{5} +(1.70388 - 1.75977i) q^{6} +(-0.280581 - 0.0369393i) q^{7} +(2.27026 + 1.68698i) q^{8} +(-1.32728 - 2.69041i) q^{9} +O(q^{10})\) \(q+(1.38225 + 0.298980i) q^{2} +(0.914527 - 1.47093i) q^{3} +(1.82122 + 0.826530i) q^{4} +(1.56322 + 1.78251i) q^{5} +(1.70388 - 1.75977i) q^{6} +(-0.280581 - 0.0369393i) q^{7} +(2.27026 + 1.68698i) q^{8} +(-1.32728 - 2.69041i) q^{9} +(1.62782 + 2.93125i) q^{10} +(-0.394839 - 0.800655i) q^{11} +(2.88133 - 1.92301i) q^{12} +(-0.474075 - 1.39658i) q^{13} +(-0.376789 - 0.134948i) q^{14} +(4.05156 - 0.669235i) q^{15} +(2.63370 + 3.01059i) q^{16} +(-3.08704 - 3.08704i) q^{17} +(-1.03025 - 4.11565i) q^{18} +(-0.658744 + 3.31173i) q^{19} +(1.37367 + 4.53840i) q^{20} +(-0.310935 + 0.378934i) q^{21} +(-0.306386 - 1.22475i) q^{22} +(1.11294 + 8.45365i) q^{23} +(4.55765 - 1.79661i) q^{24} +(-0.0810571 + 0.615690i) q^{25} +(-0.237739 - 2.07216i) q^{26} +(-5.17125 - 0.508120i) q^{27} +(-0.480470 - 0.299184i) q^{28} +(-5.19229 + 0.340321i) q^{29} +(5.80035 + 0.286288i) q^{30} +(2.39713 - 1.38398i) q^{31} +(2.74031 + 4.94881i) q^{32} +(-1.53880 - 0.151439i) q^{33} +(-3.34409 - 5.19002i) q^{34} +(-0.372766 - 0.557884i) q^{35} +(-0.193561 - 5.99688i) q^{36} +(-1.25131 - 6.29074i) q^{37} +(-1.90069 + 4.38068i) q^{38} +(-2.48783 - 0.579879i) q^{39} +(0.541863 + 6.68389i) q^{40} +(-0.793302 - 6.02573i) q^{41} +(-0.543083 + 0.430818i) q^{42} +(1.25123 - 0.617040i) q^{43} +(-0.0573243 - 1.78452i) q^{44} +(2.72086 - 6.57160i) q^{45} +(-0.989111 + 12.0178i) q^{46} +(4.62193 - 1.23844i) q^{47} +(6.83696 - 1.12072i) q^{48} +(-6.68412 - 1.79100i) q^{49} +(-0.296120 + 0.826801i) q^{50} +(-7.36400 + 1.71764i) q^{51} +(0.290920 - 2.93532i) q^{52} +(-0.782797 + 1.17154i) q^{53} +(-6.99603 - 2.24845i) q^{54} +(0.809956 - 1.95541i) q^{55} +(-0.574678 - 0.557197i) q^{56} +(4.26889 + 3.99763i) q^{57} +(-7.27879 - 1.08199i) q^{58} +(7.46266 + 8.50953i) q^{59} +(7.93193 + 2.12991i) q^{60} +(-0.229552 - 3.50228i) q^{61} +(3.72721 - 1.19631i) q^{62} +(0.273028 + 0.803909i) q^{63} +(2.30820 + 7.65978i) q^{64} +(1.74834 - 3.02821i) q^{65} +(-2.08173 - 0.669398i) q^{66} +(-11.6900 - 5.76485i) q^{67} +(-3.07065 - 8.17371i) q^{68} +(13.4526 + 6.09403i) q^{69} +(-0.348459 - 0.882584i) q^{70} +(-0.728055 - 1.75768i) q^{71} +(1.52540 - 8.34704i) q^{72} +(-4.44620 + 10.7341i) q^{73} +(0.151192 - 9.06948i) q^{74} +(0.831508 + 0.682294i) q^{75} +(-3.93696 + 5.48692i) q^{76} +(0.0812090 + 0.239234i) q^{77} +(-3.26542 - 1.54535i) q^{78} +(-0.222108 - 0.828919i) q^{79} +(-1.24936 + 9.40080i) q^{80} +(-5.47666 + 7.14186i) q^{81} +(0.705034 - 8.56623i) q^{82} +(-2.40655 - 2.11049i) q^{83} +(-0.879481 + 0.433126i) q^{84} +(0.676959 - 10.3284i) q^{85} +(1.91400 - 0.478809i) q^{86} +(-4.24790 + 7.94874i) q^{87} +(0.454299 - 2.48378i) q^{88} +(-7.90377 + 3.27385i) q^{89} +(5.72569 - 8.27010i) q^{90} +(0.0814281 + 0.409367i) q^{91} +(-4.96028 + 16.3159i) q^{92} +(0.156495 - 4.79170i) q^{93} +(6.75893 - 0.329969i) q^{94} +(-6.93296 + 4.00274i) q^{95} +(9.78545 + 0.495003i) q^{96} +(-4.93566 - 2.84961i) q^{97} +(-8.70364 - 4.47403i) q^{98} +(-1.63003 + 2.12497i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} + O(q^{10}) \) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} - 32q^{10} - 8q^{11} - 16q^{12} - 8q^{13} - 8q^{14} - 16q^{15} - 8q^{16} - 32q^{17} - 16q^{18} - 32q^{19} - 8q^{20} - 16q^{21} - 8q^{22} - 8q^{23} + 64q^{24} - 8q^{25} - 32q^{26} - 16q^{27} - 32q^{28} - 8q^{29} - 96q^{30} - 8q^{32} - 8q^{34} - 32q^{35} - 96q^{36} - 32q^{37} - 8q^{38} - 16q^{39} - 8q^{40} - 8q^{41} + 64q^{42} - 8q^{43} - 32q^{44} - 16q^{45} - 32q^{46} - 8q^{47} - 16q^{48} - 8q^{49} - 8q^{50} - 16q^{51} - 8q^{52} - 32q^{53} - 16q^{54} - 32q^{55} - 8q^{56} - 16q^{57} - 80q^{58} - 8q^{59} - 16q^{60} - 8q^{61} - 64q^{62} - 32q^{63} - 32q^{64} - 16q^{65} - 32q^{66} - 8q^{67} - 8q^{68} - 16q^{69} - 8q^{70} - 32q^{71} - 16q^{72} - 32q^{73} - 8q^{74} - 16q^{75} + 40q^{76} - 8q^{77} - 40q^{78} - 8q^{79} - 160q^{80} - 16q^{81} - 32q^{82} - 8q^{83} - 128q^{84} - 8q^{85} - 216q^{86} - 16q^{87} - 8q^{88} - 32q^{89} - 160q^{90} - 32q^{91} + 144q^{92} - 40q^{93} - 8q^{94} - 152q^{96} - 304q^{98} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(e\left(\frac{15}{16}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.38225 + 0.298980i 0.977397 + 0.211411i
\(3\) 0.914527 1.47093i 0.528003 0.849243i
\(4\) 1.82122 + 0.826530i 0.910611 + 0.413265i
\(5\) 1.56322 + 1.78251i 0.699093 + 0.797163i 0.987038 0.160484i \(-0.0513054\pi\)
−0.287945 + 0.957647i \(0.592972\pi\)
\(6\) 1.70388 1.75977i 0.695608 0.718422i
\(7\) −0.280581 0.0369393i −0.106050 0.0139617i 0.0773145 0.997007i \(-0.475365\pi\)
−0.183364 + 0.983045i \(0.558699\pi\)
\(8\) 2.27026 + 1.68698i 0.802660 + 0.596437i
\(9\) −1.32728 2.69041i −0.442427 0.896805i
\(10\) 1.62782 + 2.93125i 0.514763 + 0.926941i
\(11\) −0.394839 0.800655i −0.119049 0.241407i 0.829189 0.558968i \(-0.188803\pi\)
−0.948238 + 0.317562i \(0.897136\pi\)
\(12\) 2.88133 1.92301i 0.831767 0.555125i
\(13\) −0.474075 1.39658i −0.131485 0.387342i 0.861171 0.508315i \(-0.169732\pi\)
−0.992656 + 0.120974i \(0.961398\pi\)
\(14\) −0.376789 0.134948i −0.100701 0.0360663i
\(15\) 4.05156 0.669235i 1.04611 0.172796i
\(16\) 2.63370 + 3.01059i 0.658424 + 0.752647i
\(17\) −3.08704 3.08704i −0.748717 0.748717i 0.225522 0.974238i \(-0.427591\pi\)
−0.974238 + 0.225522i \(0.927591\pi\)
\(18\) −1.03025 4.11565i −0.242832 0.970068i
\(19\) −0.658744 + 3.31173i −0.151126 + 0.759763i 0.828666 + 0.559744i \(0.189100\pi\)
−0.979792 + 0.200019i \(0.935900\pi\)
\(20\) 1.37367 + 4.53840i 0.307162 + 1.01482i
\(21\) −0.310935 + 0.378934i −0.0678515 + 0.0826902i
\(22\) −0.306386 1.22475i −0.0653217 0.261118i
\(23\) 1.11294 + 8.45365i 0.232065 + 1.76271i 0.570100 + 0.821575i \(0.306904\pi\)
−0.338035 + 0.941134i \(0.609762\pi\)
\(24\) 4.55765 1.79661i 0.930326 0.366732i
\(25\) −0.0810571 + 0.615690i −0.0162114 + 0.123138i
\(26\) −0.237739 2.07216i −0.0466245 0.406384i
\(27\) −5.17125 0.508120i −0.995207 0.0977877i
\(28\) −0.480470 0.299184i −0.0908002 0.0565404i
\(29\) −5.19229 + 0.340321i −0.964184 + 0.0631960i −0.539356 0.842078i \(-0.681332\pi\)
−0.424828 + 0.905274i \(0.639666\pi\)
\(30\) 5.80035 + 0.286288i 1.05899 + 0.0522687i
\(31\) 2.39713 1.38398i 0.430536 0.248570i −0.269039 0.963129i \(-0.586706\pi\)
0.699575 + 0.714559i \(0.253373\pi\)
\(32\) 2.74031 + 4.94881i 0.484424 + 0.874834i
\(33\) −1.53880 0.151439i −0.267871 0.0263622i
\(34\) −3.34409 5.19002i −0.573507 0.890081i
\(35\) −0.372766 0.557884i −0.0630090 0.0942996i
\(36\) −0.193561 5.99688i −0.0322602 0.999480i
\(37\) −1.25131 6.29074i −0.205713 1.03419i −0.936254 0.351323i \(-0.885732\pi\)
0.730541 0.682869i \(-0.239268\pi\)
\(38\) −1.90069 + 4.38068i −0.308333 + 0.710640i
\(39\) −2.48783 0.579879i −0.398371 0.0928549i
\(40\) 0.541863 + 6.68389i 0.0856761 + 1.05682i
\(41\) −0.793302 6.02573i −0.123893 0.941060i −0.934623 0.355640i \(-0.884263\pi\)
0.810730 0.585420i \(-0.199070\pi\)
\(42\) −0.543083 + 0.430818i −0.0837995 + 0.0664766i
\(43\) 1.25123 0.617040i 0.190811 0.0940978i −0.344373 0.938833i \(-0.611909\pi\)
0.535185 + 0.844735i \(0.320242\pi\)
\(44\) −0.0573243 1.78452i −0.00864196 0.269026i
\(45\) 2.72086 6.57160i 0.405602 0.979636i
\(46\) −0.989111 + 12.0178i −0.145836 + 1.77193i
\(47\) 4.62193 1.23844i 0.674178 0.180646i 0.0945421 0.995521i \(-0.469861\pi\)
0.579636 + 0.814875i \(0.303195\pi\)
\(48\) 6.83696 1.12072i 0.986830 0.161762i
\(49\) −6.68412 1.79100i −0.954874 0.255858i
\(50\) −0.296120 + 0.826801i −0.0418777 + 0.116927i
\(51\) −7.36400 + 1.71764i −1.03117 + 0.240518i
\(52\) 0.290920 2.93532i 0.0403434 0.407056i
\(53\) −0.782797 + 1.17154i −0.107525 + 0.160923i −0.881330 0.472501i \(-0.843351\pi\)
0.773805 + 0.633424i \(0.218351\pi\)
\(54\) −6.99603 2.24845i −0.952039 0.305975i
\(55\) 0.809956 1.95541i 0.109214 0.263667i
\(56\) −0.574678 0.557197i −0.0767946 0.0744586i
\(57\) 4.26889 + 3.99763i 0.565428 + 0.529500i
\(58\) −7.27879 1.08199i −0.955751 0.142072i
\(59\) 7.46266 + 8.50953i 0.971555 + 1.10785i 0.994140 + 0.108101i \(0.0344771\pi\)
−0.0225849 + 0.999745i \(0.507190\pi\)
\(60\) 7.93193 + 2.12991i 1.02401 + 0.274970i
\(61\) −0.229552 3.50228i −0.0293911 0.448421i −0.987039 0.160480i \(-0.948696\pi\)
0.957648 0.287941i \(-0.0929708\pi\)
\(62\) 3.72721 1.19631i 0.473356 0.151932i
\(63\) 0.273028 + 0.803909i 0.0343983 + 0.101283i
\(64\) 2.30820 + 7.65978i 0.288525 + 0.957472i
\(65\) 1.74834 3.02821i 0.216854 0.375603i
\(66\) −2.08173 0.669398i −0.256243 0.0823972i
\(67\) −11.6900 5.76485i −1.42816 0.704289i −0.446471 0.894798i \(-0.647320\pi\)
−0.981685 + 0.190509i \(0.938986\pi\)
\(68\) −3.07065 8.17371i −0.372371 0.991208i
\(69\) 13.4526 + 6.09403i 1.61950 + 0.733635i
\(70\) −0.348459 0.882584i −0.0416488 0.105489i
\(71\) −0.728055 1.75768i −0.0864042 0.208598i 0.874771 0.484536i \(-0.161012\pi\)
−0.961175 + 0.275938i \(0.911012\pi\)
\(72\) 1.52540 8.34704i 0.179770 0.983709i
\(73\) −4.44620 + 10.7341i −0.520388 + 1.25633i 0.417274 + 0.908781i \(0.362985\pi\)
−0.937662 + 0.347547i \(0.887015\pi\)
\(74\) 0.151192 9.06948i 0.0175757 1.05431i
\(75\) 0.831508 + 0.682294i 0.0960143 + 0.0787846i
\(76\) −3.93696 + 5.48692i −0.451601 + 0.629393i
\(77\) 0.0812090 + 0.239234i 0.00925463 + 0.0272633i
\(78\) −3.26542 1.54535i −0.369737 0.174976i
\(79\) −0.222108 0.828919i −0.0249891 0.0932606i 0.952305 0.305148i \(-0.0987058\pi\)
−0.977294 + 0.211887i \(0.932039\pi\)
\(80\) −1.24936 + 9.40080i −0.139683 + 1.05104i
\(81\) −5.47666 + 7.14186i −0.608518 + 0.793540i
\(82\) 0.705034 8.56623i 0.0778579 0.945982i
\(83\) −2.40655 2.11049i −0.264153 0.231656i 0.517016 0.855976i \(-0.327043\pi\)
−0.781169 + 0.624320i \(0.785376\pi\)
\(84\) −0.879481 + 0.433126i −0.0959593 + 0.0472580i
\(85\) 0.676959 10.3284i 0.0734265 1.12027i
\(86\) 1.91400 0.478809i 0.206392 0.0516313i
\(87\) −4.24790 + 7.94874i −0.455423 + 0.852194i
\(88\) 0.454299 2.48378i 0.0484284 0.264772i
\(89\) −7.90377 + 3.27385i −0.837798 + 0.347027i −0.759985 0.649940i \(-0.774794\pi\)
−0.0778133 + 0.996968i \(0.524794\pi\)
\(90\) 5.72569 8.27010i 0.603540 0.871745i
\(91\) 0.0814281 + 0.409367i 0.00853598 + 0.0429133i
\(92\) −4.96028 + 16.3159i −0.517145 + 1.70105i
\(93\) 0.156495 4.79170i 0.0162278 0.496876i
\(94\) 6.75893 0.329969i 0.697131 0.0340337i
\(95\) −6.93296 + 4.00274i −0.711306 + 0.410673i
\(96\) 9.78545 + 0.495003i 0.998723 + 0.0505211i
\(97\) −4.93566 2.84961i −0.501140 0.289334i 0.228044 0.973651i \(-0.426767\pi\)
−0.729184 + 0.684317i \(0.760100\pi\)
\(98\) −8.70364 4.47403i −0.879200 0.451946i
\(99\) −1.63003 + 2.12497i −0.163824 + 0.213568i
\(100\) −0.656509 + 1.05431i −0.0656509 + 0.105431i
\(101\) 10.1233 + 3.43641i 1.00731 + 0.341936i 0.775856 0.630910i \(-0.217318\pi\)
0.231454 + 0.972846i \(0.425652\pi\)
\(102\) −10.6924 + 0.172515i −1.05871 + 0.0170815i
\(103\) −2.41735 1.85490i −0.238189 0.182769i 0.482769 0.875748i \(-0.339631\pi\)
−0.720958 + 0.692979i \(0.756298\pi\)
\(104\) 1.27973 3.97036i 0.125488 0.389326i
\(105\) −1.16151 + 0.0381134i −0.113352 + 0.00371948i
\(106\) −1.43229 + 1.38532i −0.139116 + 0.134554i
\(107\) 14.3013 + 9.55581i 1.38256 + 0.923795i 1.00000 0.000137598i \(-4.37989e-5\pi\)
0.382556 + 0.923932i \(0.375044\pi\)
\(108\) −8.99801 5.19959i −0.865834 0.500331i
\(109\) −2.49561 + 12.5463i −0.239036 + 1.20171i 0.655667 + 0.755051i \(0.272388\pi\)
−0.894702 + 0.446663i \(0.852612\pi\)
\(110\) 1.70419 2.46070i 0.162488 0.234618i
\(111\) −10.3976 3.91247i −0.986897 0.371355i
\(112\) −0.627757 0.942002i −0.0593175 0.0890109i
\(113\) −8.15574 2.18532i −0.767227 0.205578i −0.146081 0.989273i \(-0.546666\pi\)
−0.621146 + 0.783695i \(0.713333\pi\)
\(114\) 4.70545 + 6.80204i 0.440706 + 0.637069i
\(115\) −13.3290 + 15.1988i −1.24293 + 1.41729i
\(116\) −9.73760 3.67179i −0.904113 0.340917i
\(117\) −3.12815 + 3.12911i −0.289197 + 0.289286i
\(118\) 7.77106 + 13.9935i 0.715384 + 1.28820i
\(119\) 0.752133 + 0.980199i 0.0689479 + 0.0898546i
\(120\) 10.3271 + 5.31556i 0.942731 + 0.485242i
\(121\) 6.21123 8.09463i 0.564657 0.735875i
\(122\) 0.729816 4.90965i 0.0660744 0.444499i
\(123\) −9.58893 4.34380i −0.864605 0.391667i
\(124\) 5.50960 0.539239i 0.494776 0.0484251i
\(125\) 8.63233 5.76794i 0.772099 0.515900i
\(126\) 0.137040 + 1.19283i 0.0122085 + 0.106266i
\(127\) 8.66587 0.768971 0.384486 0.923131i \(-0.374379\pi\)
0.384486 + 0.923131i \(0.374379\pi\)
\(128\) 0.900381 + 11.2778i 0.0795832 + 0.996828i
\(129\) 0.236664 2.40478i 0.0208371 0.211729i
\(130\) 3.32201 3.66302i 0.291359 0.321268i
\(131\) 5.78463 + 2.85266i 0.505405 + 0.249238i 0.677072 0.735917i \(-0.263249\pi\)
−0.171667 + 0.985155i \(0.554915\pi\)
\(132\) −2.67733 1.54767i −0.233031 0.134707i
\(133\) 0.307164 0.904876i 0.0266345 0.0784627i
\(134\) −14.4349 11.4635i −1.24698 0.990298i
\(135\) −7.17807 10.0121i −0.617790 0.861705i
\(136\) −1.80062 12.2162i −0.154402 1.04753i
\(137\) 12.1309 + 15.8093i 1.03641 + 1.35068i 0.934532 + 0.355879i \(0.115818\pi\)
0.101878 + 0.994797i \(0.467515\pi\)
\(138\) 16.7728 + 12.4455i 1.42779 + 1.05943i
\(139\) −4.57573 0.299910i −0.388109 0.0254380i −0.129900 0.991527i \(-0.541466\pi\)
−0.258209 + 0.966089i \(0.583132\pi\)
\(140\) −0.217782 1.32413i −0.0184059 0.111910i
\(141\) 2.40522 7.93114i 0.202556 0.667922i
\(142\) −0.480841 2.64722i −0.0403513 0.222150i
\(143\) −0.930995 + 0.930995i −0.0778538 + 0.0778538i
\(144\) 4.60408 11.0816i 0.383674 0.923469i
\(145\) −8.72332 8.72332i −0.724432 0.724432i
\(146\) −9.35503 + 13.5078i −0.774227 + 1.11792i
\(147\) −8.74725 + 8.19396i −0.721461 + 0.675826i
\(148\) 2.92058 12.4911i 0.240070 1.02676i
\(149\) −0.188602 + 2.87751i −0.0154509 + 0.235735i 0.983148 + 0.182813i \(0.0585202\pi\)
−0.998599 + 0.0529222i \(0.983146\pi\)
\(150\) 0.945359 + 1.19170i 0.0771882 + 0.0973023i
\(151\) −18.6638 + 14.3213i −1.51884 + 1.16545i −0.583287 + 0.812266i \(0.698234\pi\)
−0.935555 + 0.353182i \(0.885100\pi\)
\(152\) −7.08234 + 6.40721i −0.574454 + 0.519694i
\(153\) −4.20805 + 12.4028i −0.340201 + 1.00270i
\(154\) 0.0407248 + 0.354961i 0.00328169 + 0.0286036i
\(155\) 6.21420 + 2.10943i 0.499136 + 0.169434i
\(156\) −4.05160 3.11235i −0.324388 0.249188i
\(157\) 8.24170 16.7125i 0.657759 1.33380i −0.270806 0.962634i \(-0.587290\pi\)
0.928565 0.371169i \(-0.121043\pi\)
\(158\) −0.0591781 1.21218i −0.00470796 0.0964357i
\(159\) 1.00736 + 2.22284i 0.0798891 + 0.176283i
\(160\) −4.53759 + 12.6207i −0.358728 + 0.997755i
\(161\) 2.41305i 0.190175i
\(162\) −9.70538 + 8.23442i −0.762527 + 0.646957i
\(163\) −0.511679 0.765782i −0.0400778 0.0599806i 0.810890 0.585199i \(-0.198984\pi\)
−0.850967 + 0.525218i \(0.823984\pi\)
\(164\) 3.53567 11.6299i 0.276089 0.908140i
\(165\) −2.13554 2.97966i −0.166252 0.231966i
\(166\) −2.69546 3.63673i −0.209208 0.282265i
\(167\) −10.8591 8.33249i −0.840303 0.644787i 0.0962329 0.995359i \(-0.469321\pi\)
−0.936536 + 0.350572i \(0.885987\pi\)
\(168\) −1.34516 + 0.335741i −0.103781 + 0.0259029i
\(169\) 8.58790 6.58973i 0.660608 0.506902i
\(170\) 4.02371 14.0740i 0.308605 1.07943i
\(171\) 9.78426 2.62330i 0.748221 0.200608i
\(172\) 2.78878 0.0895843i 0.212642 0.00683074i
\(173\) 9.80365 + 8.59757i 0.745358 + 0.653661i 0.945321 0.326142i \(-0.105749\pi\)
−0.199963 + 0.979804i \(0.564082\pi\)
\(174\) −8.24817 + 9.71709i −0.625292 + 0.736651i
\(175\) 0.0454862 0.169757i 0.00343844 0.0128324i
\(176\) 1.37056 3.29738i 0.103310 0.248549i
\(177\) 19.3417 3.19486i 1.45381 0.240140i
\(178\) −11.9038 + 2.16220i −0.892227 + 0.162064i
\(179\) 12.1802 + 2.42279i 0.910389 + 0.181088i 0.628001 0.778213i \(-0.283873\pi\)
0.282388 + 0.959300i \(0.408873\pi\)
\(180\) 10.3869 9.71946i 0.774195 0.724446i
\(181\) 10.6257 15.9025i 0.789801 1.18202i −0.189948 0.981794i \(-0.560832\pi\)
0.979749 0.200227i \(-0.0641680\pi\)
\(182\) −0.00983874 + 0.590192i −0.000729296 + 0.0437479i
\(183\) −5.36154 2.86528i −0.396337 0.211807i
\(184\) −11.7345 + 21.0695i −0.865076 + 1.55327i
\(185\) 9.25725 12.0643i 0.680606 0.886983i
\(186\) 1.64894 6.57652i 0.120906 0.482214i
\(187\) −1.25277 + 3.69054i −0.0916115 + 0.269879i
\(188\) 9.44118 + 1.56469i 0.688569 + 0.114117i
\(189\) 1.43219 + 0.333591i 0.104176 + 0.0242652i
\(190\) −10.7798 + 3.45997i −0.782049 + 0.251012i
\(191\) 9.42826 16.3302i 0.682205 1.18161i −0.292102 0.956387i \(-0.594355\pi\)
0.974307 0.225226i \(-0.0723120\pi\)
\(192\) 13.3779 + 3.60987i 0.965468 + 0.260520i
\(193\) −8.15861 14.1311i −0.587270 1.01718i −0.994588 0.103895i \(-0.966869\pi\)
0.407319 0.913286i \(-0.366464\pi\)
\(194\) −5.97033 5.41453i −0.428645 0.388740i
\(195\) −2.85538 5.34106i −0.204478 0.382481i
\(196\) −10.6929 8.78644i −0.763782 0.627603i
\(197\) 6.54473 1.30183i 0.466293 0.0927513i 0.0436482 0.999047i \(-0.486102\pi\)
0.422644 + 0.906296i \(0.361102\pi\)
\(198\) −2.88843 + 2.44990i −0.205272 + 0.174106i
\(199\) −8.30544 20.0511i −0.588757 1.42138i −0.884692 0.466177i \(-0.845631\pi\)
0.295935 0.955208i \(-0.404369\pi\)
\(200\) −1.22268 + 1.26104i −0.0864563 + 0.0891687i
\(201\) −19.1705 + 11.9230i −1.35218 + 0.840985i
\(202\) 12.9656 + 7.77666i 0.912253 + 0.547164i
\(203\) 1.46943 + 0.0963117i 0.103134 + 0.00675975i
\(204\) −14.8312 2.95837i −1.03839 0.207127i
\(205\) 9.50082 10.8336i 0.663566 0.756652i
\(206\) −2.78680 3.28667i −0.194166 0.228993i
\(207\) 21.2666 14.2146i 1.47813 0.987986i
\(208\) 2.95596 5.10541i 0.204959 0.353997i
\(209\) 2.91165 0.780175i 0.201403 0.0539658i
\(210\) −1.61690 0.294588i −0.111576 0.0203285i
\(211\) −4.10765 + 1.39436i −0.282782 + 0.0959915i −0.459227 0.888319i \(-0.651874\pi\)
0.176445 + 0.984310i \(0.443540\pi\)
\(212\) −2.39396 + 1.48663i −0.164418 + 0.102102i
\(213\) −3.25125 0.536527i −0.222772 0.0367623i
\(214\) 16.9109 + 17.4843i 1.15601 + 1.19520i
\(215\) 3.05584 + 1.26577i 0.208406 + 0.0863247i
\(216\) −10.8829 9.87736i −0.740488 0.672069i
\(217\) −0.723712 + 0.299771i −0.0491288 + 0.0203498i
\(218\) −7.20063 + 16.5959i −0.487688 + 1.12402i
\(219\) 11.7229 + 16.3567i 0.792161 + 1.10528i
\(220\) 3.09131 2.89177i 0.208416 0.194963i
\(221\) −2.84781 + 5.77478i −0.191564 + 0.388454i
\(222\) −13.2023 8.51668i −0.886082 0.571602i
\(223\) 5.58809 + 3.22628i 0.374206 + 0.216048i 0.675294 0.737548i \(-0.264017\pi\)
−0.301088 + 0.953596i \(0.597350\pi\)
\(224\) −0.586076 1.48977i −0.0391589 0.0995393i
\(225\) 1.76405 0.599115i 0.117603 0.0399410i
\(226\) −10.6199 5.45907i −0.706424 0.363132i
\(227\) 16.1500 1.05853i 1.07191 0.0702568i 0.480787 0.876837i \(-0.340351\pi\)
0.591124 + 0.806581i \(0.298684\pi\)
\(228\) 4.47042 + 10.8089i 0.296061 + 0.715840i
\(229\) −3.11745 + 2.73393i −0.206007 + 0.180663i −0.756132 0.654419i \(-0.772913\pi\)
0.550125 + 0.835082i \(0.314580\pi\)
\(230\) −22.9681 + 17.0234i −1.51447 + 1.12249i
\(231\) 0.426165 + 0.0993332i 0.0280396 + 0.00653564i
\(232\) −12.3620 7.98667i −0.811604 0.524351i
\(233\) −18.2178 7.54608i −1.19349 0.494360i −0.304601 0.952480i \(-0.598523\pi\)
−0.888890 + 0.458120i \(0.848523\pi\)
\(234\) −5.25942 + 3.38995i −0.343819 + 0.221608i
\(235\) 9.43264 + 6.30269i 0.615318 + 0.411142i
\(236\) 6.55777 + 21.6658i 0.426874 + 1.41033i
\(237\) −1.42241 0.431363i −0.0923952 0.0280200i
\(238\) 0.746574 + 1.57975i 0.0483932 + 0.102400i
\(239\) −3.86535 + 14.4257i −0.250029 + 0.933121i 0.720760 + 0.693185i \(0.243793\pi\)
−0.970789 + 0.239936i \(0.922874\pi\)
\(240\) 12.6854 + 10.4350i 0.818837 + 0.673578i
\(241\) 3.12221 + 11.6522i 0.201119 + 0.750587i 0.990597 + 0.136809i \(0.0436845\pi\)
−0.789478 + 0.613778i \(0.789649\pi\)
\(242\) 11.0056 9.33175i 0.707466 0.599868i
\(243\) 5.49664 + 14.5872i 0.352610 + 0.935771i
\(244\) 2.47668 6.56816i 0.158553 0.420483i
\(245\) −7.25626 14.7142i −0.463586 0.940059i
\(246\) −11.9556 8.87111i −0.762259 0.565601i
\(247\) 4.93739 0.650020i 0.314159 0.0413598i
\(248\) 7.77685 + 0.901899i 0.493831 + 0.0572707i
\(249\) −5.30524 + 1.60977i −0.336206 + 0.102015i
\(250\) 13.6565 5.39183i 0.863714 0.341009i
\(251\) 5.00926 0.996405i 0.316182 0.0628925i −0.0344483 0.999406i \(-0.510967\pi\)
0.350630 + 0.936514i \(0.385967\pi\)
\(252\) −0.167210 + 1.68976i −0.0105333 + 0.106445i
\(253\) 6.32903 4.22892i 0.397903 0.265870i
\(254\) 11.9784 + 2.59092i 0.751591 + 0.162569i
\(255\) −14.5733 10.4414i −0.912614 0.653863i
\(256\) −2.12730 + 15.8580i −0.132956 + 0.991122i
\(257\) −3.92886 6.80498i −0.245076 0.424483i 0.717077 0.696994i \(-0.245479\pi\)
−0.962153 + 0.272510i \(0.912146\pi\)
\(258\) 1.04611 3.25325i 0.0651280 0.202538i
\(259\) 0.118718 + 1.81129i 0.00737678 + 0.112548i
\(260\) 5.68701 4.06998i 0.352693 0.252410i
\(261\) 7.80723 + 13.5177i 0.483255 + 0.836725i
\(262\) 7.14291 + 5.67258i 0.441290 + 0.350453i
\(263\) 7.60242 + 1.00088i 0.468785 + 0.0617167i 0.361219 0.932481i \(-0.382361\pi\)
0.107567 + 0.994198i \(0.465694\pi\)
\(264\) −3.23801 2.93973i −0.199286 0.180928i
\(265\) −3.31196 + 0.436028i −0.203452 + 0.0267850i
\(266\) 0.695117 1.15893i 0.0426204 0.0710584i
\(267\) −2.41261 + 14.6199i −0.147649 + 0.894726i
\(268\) −16.5252 20.1612i −1.00944 1.23154i
\(269\) 23.9760 + 4.76913i 1.46184 + 0.290779i 0.861007 0.508593i \(-0.169834\pi\)
0.600837 + 0.799372i \(0.294834\pi\)
\(270\) −6.92845 15.9853i −0.421652 0.972836i
\(271\) −5.86160 + 5.86160i −0.356067 + 0.356067i −0.862361 0.506294i \(-0.831015\pi\)
0.506294 + 0.862361i \(0.331015\pi\)
\(272\) 1.16349 17.4241i 0.0705467 1.05649i
\(273\) 0.676618 + 0.254602i 0.0409508 + 0.0154092i
\(274\) 12.0412 + 25.4792i 0.727436 + 1.53926i
\(275\) 0.524960 0.178200i 0.0316563 0.0107458i
\(276\) 19.4632 + 22.2175i 1.17155 + 1.33734i
\(277\) 10.6315 5.24288i 0.638785 0.315014i −0.0939002 0.995582i \(-0.529933\pi\)
0.732685 + 0.680568i \(0.238267\pi\)
\(278\) −6.23514 1.78260i −0.373959 0.106914i
\(279\) −6.90514 4.61233i −0.413400 0.276133i
\(280\) 0.0948612 1.89539i 0.00566904 0.113271i
\(281\) −1.35312 + 10.2780i −0.0807204 + 0.613133i 0.902497 + 0.430696i \(0.141732\pi\)
−0.983218 + 0.182437i \(0.941602\pi\)
\(282\) 5.69587 10.2437i 0.339184 0.610003i
\(283\) 0.197211 0.172949i 0.0117230 0.0102808i −0.653464 0.756957i \(-0.726685\pi\)
0.665187 + 0.746677i \(0.268352\pi\)
\(284\) 0.126827 3.80288i 0.00752577 0.225660i
\(285\) −0.452615 + 13.8585i −0.0268106 + 0.820908i
\(286\) −1.56522 + 1.00852i −0.0925532 + 0.0596349i
\(287\) 1.72001i 0.101529i
\(288\) 9.67717 13.9410i 0.570233 0.821483i
\(289\) 2.05960i 0.121153i
\(290\) −9.44969 14.6659i −0.554905 0.861211i
\(291\) −8.70537 + 4.65398i −0.510318 + 0.272821i
\(292\) −16.9695 + 15.8742i −0.993068 + 0.928967i
\(293\) −13.0855 + 11.4757i −0.764463 + 0.670416i −0.950010 0.312219i \(-0.898928\pi\)
0.185547 + 0.982635i \(0.440594\pi\)
\(294\) −14.5407 + 8.71083i −0.848032 + 0.508026i
\(295\) −3.50255 + 26.6045i −0.203927 + 1.54898i
\(296\) 7.77156 16.3926i 0.451713 0.952799i
\(297\) 1.63498 + 4.34101i 0.0948714 + 0.251891i
\(298\) −1.12101 + 3.92105i −0.0649386 + 0.227140i
\(299\) 11.2786 5.56198i 0.652258 0.321658i
\(300\) 0.950424 + 1.92988i 0.0548728 + 0.111421i
\(301\) −0.373866 + 0.126910i −0.0215493 + 0.00731500i
\(302\) −30.0798 + 14.2154i −1.73090 + 0.818006i
\(303\) 14.3128 11.7481i 0.822249 0.674908i
\(304\) −11.7052 + 6.73888i −0.671339 + 0.386501i
\(305\) 5.88401 5.88401i 0.336918 0.336918i
\(306\) −9.52475 + 15.8856i −0.544494 + 0.908119i
\(307\) 8.46987 + 1.68476i 0.483401 + 0.0961545i 0.430774 0.902460i \(-0.358241\pi\)
0.0526270 + 0.998614i \(0.483241\pi\)
\(308\) −0.0498346 + 0.502820i −0.00283959 + 0.0286508i
\(309\) −4.93916 + 1.85940i −0.280979 + 0.105778i
\(310\) 7.95888 + 4.77369i 0.452034 + 0.271127i
\(311\) 27.0108 3.55604i 1.53164 0.201644i 0.682923 0.730490i \(-0.260708\pi\)
0.848718 + 0.528846i \(0.177375\pi\)
\(312\) −4.66978 5.51339i −0.264374 0.312134i
\(313\) 0.00553620 0.000728855i 0.000312925 4.11973e-5i 0.130683 0.991424i \(-0.458283\pi\)
−0.130370 + 0.991465i \(0.541616\pi\)
\(314\) 16.3888 20.6367i 0.924872 1.16460i
\(315\) −1.00617 + 1.74336i −0.0566915 + 0.0982274i
\(316\) 0.280618 1.69322i 0.0157860 0.0952513i
\(317\) 0.582939 + 8.89394i 0.0327411 + 0.499533i 0.982465 + 0.186445i \(0.0596968\pi\)
−0.949724 + 0.313088i \(0.898637\pi\)
\(318\) 0.727840 + 3.37371i 0.0408152 + 0.189188i
\(319\) 2.32260 + 4.02286i 0.130041 + 0.225237i
\(320\) −10.0454 + 16.0883i −0.561556 + 0.899364i
\(321\) 27.1348 12.2972i 1.51452 0.686360i
\(322\) 0.721455 3.33544i 0.0402051 0.185877i
\(323\) 12.2570 8.18987i 0.681998 0.455696i
\(324\) −15.8772 + 8.48029i −0.882065 + 0.471127i
\(325\) 0.898287 0.178680i 0.0498280 0.00991140i
\(326\) −0.478314 1.21148i −0.0264913 0.0670978i
\(327\) 16.1724 + 15.1448i 0.894335 + 0.837507i
\(328\) 8.36427 15.0183i 0.461840 0.829246i
\(329\) −1.34258 + 0.176754i −0.0740186 + 0.00974474i
\(330\) −2.06099 4.75712i −0.113454 0.261871i
\(331\) −2.11916 4.29723i −0.116479 0.236197i 0.830824 0.556536i \(-0.187870\pi\)
−0.947303 + 0.320339i \(0.896203\pi\)
\(332\) −2.63848 5.83275i −0.144805 0.320114i
\(333\) −15.2639 + 11.7161i −0.836455 + 0.642039i
\(334\) −12.5187 14.7642i −0.684995 0.807863i
\(335\) −7.99808 29.8492i −0.436982 1.63084i
\(336\) −1.95972 + 0.0619010i −0.106912 + 0.00337698i
\(337\) −0.194727 + 0.726733i −0.0106075 + 0.0395877i −0.971027 0.238971i \(-0.923190\pi\)
0.960419 + 0.278559i \(0.0898566\pi\)
\(338\) 13.8408 6.54103i 0.752841 0.355785i
\(339\) −10.6731 + 9.99800i −0.579684 + 0.543017i
\(340\) 9.76963 18.2508i 0.529832 0.989787i
\(341\) −2.05457 1.37282i −0.111261 0.0743424i
\(342\) 14.3086 0.700746i 0.773720 0.0378920i
\(343\) 3.63950 + 1.50753i 0.196515 + 0.0813991i
\(344\) 3.88157 + 0.709962i 0.209280 + 0.0382786i
\(345\) 10.1666 + 33.5057i 0.547354 + 1.80388i
\(346\) 10.9806 + 14.8151i 0.590320 + 0.796464i
\(347\) −22.4283 + 19.6690i −1.20401 + 1.05589i −0.207023 + 0.978336i \(0.566378\pi\)
−0.996988 + 0.0775538i \(0.975289\pi\)
\(348\) −14.3062 + 10.9654i −0.766895 + 0.587807i
\(349\) 23.8609 1.56392i 1.27724 0.0837149i 0.588366 0.808594i \(-0.299771\pi\)
0.688876 + 0.724880i \(0.258105\pi\)
\(350\) 0.113627 0.221047i 0.00607363 0.0118154i
\(351\) 1.74193 + 7.46295i 0.0929773 + 0.398343i
\(352\) 2.88030 4.14803i 0.153521 0.221091i
\(353\) −26.4211 15.2542i −1.40625 0.811902i −0.411230 0.911531i \(-0.634901\pi\)
−0.995025 + 0.0996297i \(0.968234\pi\)
\(354\) 27.6903 + 1.36671i 1.47172 + 0.0726397i
\(355\) 1.99497 4.04541i 0.105882 0.214708i
\(356\) −17.1005 0.570302i −0.906323 0.0302259i
\(357\) 2.12965 0.209918i 0.112713 0.0111100i
\(358\) 16.1117 + 6.99053i 0.851528 + 0.369461i
\(359\) −4.36180 + 1.80672i −0.230207 + 0.0953550i −0.494805 0.869004i \(-0.664761\pi\)
0.264598 + 0.964359i \(0.414761\pi\)
\(360\) 17.2632 10.3292i 0.909852 0.544398i
\(361\) 7.02010 + 2.90782i 0.369479 + 0.153043i
\(362\) 19.4419 18.8043i 1.02184 0.988332i
\(363\) −6.22631 16.5390i −0.326796 0.868075i
\(364\) −0.190055 + 0.812850i −0.00996160 + 0.0426049i
\(365\) −26.0840 + 8.85432i −1.36530 + 0.463456i
\(366\) −6.55433 5.56352i −0.342600 0.290810i
\(367\) 11.6608 3.12449i 0.608687 0.163097i 0.0587074 0.998275i \(-0.481302\pi\)
0.549980 + 0.835178i \(0.314635\pi\)
\(368\) −22.5193 + 25.6150i −1.17390 + 1.33527i
\(369\) −15.1588 + 10.1321i −0.789134 + 0.527458i
\(370\) 16.4028 13.9081i 0.852741 0.723048i
\(371\) 0.262914 0.299796i 0.0136498 0.0155646i
\(372\) 4.24549 8.59739i 0.220119 0.445754i
\(373\) −18.2779 1.19800i −0.946394 0.0620300i −0.415616 0.909540i \(-0.636434\pi\)
−0.530779 + 0.847510i \(0.678100\pi\)
\(374\) −2.83504 + 4.72669i −0.146596 + 0.244411i
\(375\) −0.589741 17.9725i −0.0304541 0.928096i
\(376\) 12.5822 + 4.98552i 0.648880 + 0.257108i
\(377\) 2.93682 + 7.09011i 0.151254 + 0.365159i
\(378\) 1.87990 + 0.889302i 0.0966917 + 0.0457407i
\(379\) 22.6557 4.50650i 1.16375 0.231483i 0.424825 0.905276i \(-0.360336\pi\)
0.738921 + 0.673792i \(0.235336\pi\)
\(380\) −15.9348 + 1.55958i −0.817440 + 0.0800050i
\(381\) 7.92517 12.7469i 0.406019 0.653043i
\(382\) 17.9146 19.7536i 0.916591 1.01068i
\(383\) −15.7213 27.2300i −0.803319 1.39139i −0.917420 0.397920i \(-0.869732\pi\)
0.114101 0.993469i \(-0.463601\pi\)
\(384\) 17.4123 + 8.98948i 0.888569 + 0.458742i
\(385\) −0.299490 + 0.518731i −0.0152634 + 0.0264370i
\(386\) −7.05230 21.9720i −0.358953 1.11835i
\(387\) −3.32083 2.54735i −0.168807 0.129489i
\(388\) −6.63365 9.26924i −0.336772 0.470574i
\(389\) −11.9318 + 35.1498i −0.604964 + 1.78217i 0.0179029 + 0.999840i \(0.494301\pi\)
−0.622867 + 0.782328i \(0.714032\pi\)
\(390\) −2.34998 8.23637i −0.118996 0.417065i
\(391\) 22.6610 29.5325i 1.14602 1.49352i
\(392\) −12.1533 15.3420i −0.613836 0.774889i
\(393\) 9.48628 5.89996i 0.478519 0.297613i
\(394\) 9.43566 + 0.157296i 0.475362 + 0.00792448i
\(395\) 1.13035 1.69169i 0.0568742 0.0851183i
\(396\) −4.72500 + 2.52278i −0.237440 + 0.126774i
\(397\) 24.0270 + 4.77926i 1.20588 + 0.239864i 0.756811 0.653634i \(-0.226756\pi\)
0.449067 + 0.893498i \(0.351756\pi\)
\(398\) −5.48529 30.1988i −0.274953 1.51373i
\(399\) −1.05010 1.27935i −0.0525708 0.0640477i
\(400\) −2.06707 + 1.37751i −0.103353 + 0.0688755i
\(401\) 3.78543 14.1274i 0.189035 0.705489i −0.804695 0.593688i \(-0.797671\pi\)
0.993731 0.111801i \(-0.0356619\pi\)
\(402\) −30.0631 + 10.7490i −1.49941 + 0.536110i
\(403\) −3.06926 2.69167i −0.152891 0.134081i
\(404\) 15.5966 + 14.6257i 0.775957 + 0.727657i
\(405\) −21.2917 + 1.40210i −1.05799 + 0.0696711i
\(406\) 2.00232 + 0.572458i 0.0993737 + 0.0284106i
\(407\) −4.54265 + 3.48570i −0.225171 + 0.172780i
\(408\) −19.6159 8.52342i −0.971130 0.421972i
\(409\) 19.1490 + 14.6936i 0.946858 + 0.726550i 0.961918 0.273337i \(-0.0881273\pi\)
−0.0150602 + 0.999887i \(0.504794\pi\)
\(410\) 16.3715 12.1342i 0.808532 0.599264i
\(411\) 34.3483 3.38568i 1.69428 0.167003i
\(412\) −2.86940 5.37620i −0.141365 0.264866i
\(413\) −1.77955 2.66328i −0.0875658 0.131051i
\(414\) 33.6457 13.2899i 1.65360 0.653161i
\(415\) 7.58886i 0.372522i
\(416\) 5.61229 6.17317i 0.275165 0.302665i
\(417\) −4.62578 + 6.45632i −0.226525 + 0.316167i
\(418\) 4.25788 0.207869i 0.208260 0.0101672i
\(419\) 12.2686 24.8783i 0.599361 1.21538i −0.359934 0.932978i \(-0.617201\pi\)
0.959295 0.282406i \(-0.0911326\pi\)
\(420\) −2.14688 0.890613i −0.104757 0.0434575i
\(421\) 10.5560 + 3.58327i 0.514467 + 0.174638i 0.566586 0.824003i \(-0.308264\pi\)
−0.0521186 + 0.998641i \(0.516597\pi\)
\(422\) −6.09467 + 0.699243i −0.296684 + 0.0340386i
\(423\) −9.46653 10.7912i −0.460278 0.524684i
\(424\) −3.75352 + 1.33914i −0.182287 + 0.0650343i
\(425\) 2.15088 1.65043i 0.104333 0.0800576i
\(426\) −4.33363 1.71368i −0.209965 0.0830278i
\(427\) −0.0649637 + 0.991154i −0.00314381 + 0.0479653i
\(428\) 18.1476 + 29.2237i 0.877199 + 1.41258i
\(429\) 0.518010 + 2.22085i 0.0250098 + 0.107224i
\(430\) 3.84548 + 2.66324i 0.185446 + 0.128433i
\(431\) −18.3577 18.3577i −0.884258 0.884258i 0.109706 0.993964i \(-0.465009\pi\)
−0.993964 + 0.109706i \(0.965009\pi\)
\(432\) −12.0898 16.9067i −0.581669 0.813426i
\(433\) 13.0342 13.0342i 0.626383 0.626383i −0.320773 0.947156i \(-0.603943\pi\)
0.947156 + 0.320773i \(0.103943\pi\)
\(434\) −1.08998 + 0.197983i −0.0523205 + 0.00950348i
\(435\) −20.8091 + 4.85369i −0.997721 + 0.232717i
\(436\) −14.9149 + 20.7868i −0.714295 + 0.995508i
\(437\) −28.7294 1.88302i −1.37431 0.0900771i
\(438\) 11.3137 + 26.1139i 0.540588 + 1.24777i
\(439\) 11.5534 + 15.0566i 0.551412 + 0.718614i 0.983030 0.183442i \(-0.0587240\pi\)
−0.431619 + 0.902056i \(0.642057\pi\)
\(440\) 5.13754 3.07291i 0.244923 0.146495i
\(441\) 4.05315 + 20.3602i 0.193007 + 0.969534i
\(442\) −5.66292 + 7.13075i −0.269358 + 0.339175i
\(443\) −7.58364 + 22.3407i −0.360310 + 1.06144i 0.604074 + 0.796928i \(0.293543\pi\)
−0.964383 + 0.264509i \(0.914790\pi\)
\(444\) −15.7026 15.7194i −0.745211 0.746010i
\(445\) −18.1910 8.97082i −0.862337 0.425257i
\(446\) 6.75953 + 6.13025i 0.320073 + 0.290276i
\(447\) 4.06014 + 2.90898i 0.192038 + 0.137590i
\(448\) −0.364691 2.23446i −0.0172301 0.105568i
\(449\) −10.6298 −0.501652 −0.250826 0.968032i \(-0.580702\pi\)
−0.250826 + 0.968032i \(0.580702\pi\)
\(450\) 2.61747 0.300711i 0.123389 0.0141757i
\(451\) −4.51130 + 3.01436i −0.212429 + 0.141940i
\(452\) −13.0472 10.7209i −0.613687 0.504270i
\(453\) 3.99701 + 40.5504i 0.187796 + 1.90522i
\(454\) 22.6398 + 3.36538i 1.06254 + 0.157945i
\(455\) −0.602410 + 0.785076i −0.0282414 + 0.0368049i
\(456\) 2.94758 + 16.2772i 0.138033 + 0.762250i
\(457\) −18.8889 24.6165i −0.883584 1.15151i −0.987609 0.156935i \(-0.949839\pi\)
0.104025 0.994575i \(-0.466828\pi\)
\(458\) −5.12648 + 2.84691i −0.239545 + 0.133028i
\(459\) 14.3953 + 17.5324i 0.671913 + 0.818344i
\(460\) −36.8372 + 16.6635i −1.71754 + 0.776941i
\(461\) −15.3189 + 17.4679i −0.713473 + 0.813559i −0.989028 0.147726i \(-0.952805\pi\)
0.275556 + 0.961285i \(0.411138\pi\)
\(462\) 0.559367 + 0.264718i 0.0260241 + 0.0123158i
\(463\) 16.9511 + 4.54202i 0.787783 + 0.211086i 0.630213 0.776422i \(-0.282967\pi\)
0.157570 + 0.987508i \(0.449634\pi\)
\(464\) −14.6995 14.7356i −0.682406 0.684081i
\(465\) 8.78589 7.21152i 0.407436 0.334426i
\(466\) −22.9255 15.8773i −1.06200 0.735503i
\(467\) 4.85642 24.4149i 0.224728 1.12978i −0.689407 0.724375i \(-0.742129\pi\)
0.914135 0.405410i \(-0.132871\pi\)
\(468\) −8.28336 + 3.11329i −0.382898 + 0.143912i
\(469\) 3.06704 + 2.04933i 0.141623 + 0.0946293i
\(470\) 11.1539 + 11.5321i 0.514490 + 0.531934i
\(471\) −17.0457 27.4070i −0.785424 1.26285i
\(472\) 2.58680 + 31.9082i 0.119067 + 1.46870i
\(473\) −0.988073 0.758175i −0.0454317 0.0348609i
\(474\) −1.83715 1.02152i −0.0843831 0.0469201i
\(475\) −1.98560 0.674021i −0.0911056 0.0309262i
\(476\) 0.559637 + 2.40682i 0.0256509 + 0.110316i
\(477\) 4.19091 + 0.551089i 0.191889 + 0.0252326i
\(478\) −9.65588 + 18.7842i −0.441650 + 0.859171i
\(479\) 3.38482 + 1.95423i 0.154657 + 0.0892910i 0.575331 0.817921i \(-0.304873\pi\)
−0.420675 + 0.907212i \(0.638207\pi\)
\(480\) 14.4145 + 18.2165i 0.657927 + 0.831464i
\(481\) −8.19231 + 4.72983i −0.373537 + 0.215662i
\(482\) 0.831877 + 17.0398i 0.0378910 + 0.776141i
\(483\) −3.54943 2.20680i −0.161505 0.100413i
\(484\) 18.0025 9.60834i 0.818294 0.436743i
\(485\) −2.63607 13.2524i −0.119698 0.601762i
\(486\) 3.23643 + 21.8065i 0.146807 + 0.989165i
\(487\) −21.4565 + 8.88759i −0.972288 + 0.402735i −0.811564 0.584264i \(-0.801383\pi\)
−0.160725 + 0.986999i \(0.551383\pi\)
\(488\) 5.38713 8.33835i 0.243864 0.377459i
\(489\) −1.59436 + 0.0523165i −0.0720993 + 0.00236583i
\(490\) −5.63069 22.5082i −0.254369 1.01682i
\(491\) 2.81261 42.9122i 0.126931 1.93660i −0.177610 0.984101i \(-0.556837\pi\)
0.304542 0.952499i \(-0.401497\pi\)
\(492\) −13.8733 15.8366i −0.625456 0.713967i
\(493\) 17.0794 + 14.9782i 0.769217 + 0.674585i
\(494\) 7.01904 + 0.577694i 0.315802 + 0.0259917i
\(495\) −6.33589 + 0.416254i −0.284777 + 0.0187092i
\(496\) 10.4799 + 3.57178i 0.470561 + 0.160377i
\(497\) 0.139351 + 0.520066i 0.00625076 + 0.0233282i
\(498\) −7.81445 + 0.638942i −0.350174 + 0.0286317i
\(499\) 8.20320 + 24.1658i 0.367225 + 1.08181i 0.960850 + 0.277069i \(0.0893631\pi\)
−0.593624 + 0.804742i \(0.702304\pi\)
\(500\) 20.4888 3.36981i 0.916285 0.150703i
\(501\) −22.1875 + 8.35272i −0.991263 + 0.373172i
\(502\) 7.22195 + 0.120393i 0.322332 + 0.00537340i
\(503\) −13.5435 + 32.6968i −0.603873 + 1.45788i 0.265690 + 0.964058i \(0.414400\pi\)
−0.869564 + 0.493821i \(0.835600\pi\)
\(504\) −0.736332 + 2.28568i −0.0327988 + 0.101812i
\(505\) 9.69957 + 23.4168i 0.431625 + 1.04204i
\(506\) 10.0127 3.95316i 0.445117 0.175740i
\(507\) −1.83917 18.6587i −0.0816804 0.828662i
\(508\) 15.7825 + 7.16260i 0.700234 + 0.317789i
\(509\) 22.7704 + 11.2291i 1.00928 + 0.497721i 0.870272 0.492571i \(-0.163943\pi\)
0.139006 + 0.990292i \(0.455609\pi\)
\(510\) −17.0221 18.7897i −0.753752 0.832021i
\(511\) 1.64403 2.84754i 0.0727276 0.125968i
\(512\) −7.68167 + 21.2836i −0.339485 + 0.940611i
\(513\) 5.08928 16.7911i 0.224697 0.741343i
\(514\) −3.39610 10.5808i −0.149796 0.466700i
\(515\) −0.472475 7.20857i −0.0208197 0.317648i
\(516\) 2.41864 4.18403i 0.106475 0.184192i
\(517\) −2.81649 3.21159i −0.123869 0.141246i
\(518\) −0.377442 + 2.53914i −0.0165838 + 0.111564i
\(519\) 21.6122 6.55779i 0.948668 0.287855i
\(520\) 9.07771 3.92542i 0.398084 0.172141i
\(521\) 0.960245 2.31824i 0.0420691 0.101564i −0.901448 0.432887i \(-0.857495\pi\)
0.943517 + 0.331323i \(0.107495\pi\)
\(522\) 6.74999 + 21.0190i 0.295439 + 0.919979i
\(523\) 9.38931 14.0521i 0.410566 0.614456i −0.567344 0.823481i \(-0.692029\pi\)
0.977910 + 0.209025i \(0.0670291\pi\)
\(524\) 8.17728 + 9.97650i 0.357226 + 0.435826i
\(525\) −0.208102 0.222154i −0.00908233 0.00969562i
\(526\) 10.2092 + 3.65644i 0.445142 + 0.159428i
\(527\) −11.6724 3.12761i −0.508458 0.136241i
\(528\) −3.59681 5.03154i −0.156531 0.218970i
\(529\) −48.0093 + 12.8641i −2.08736 + 0.559307i
\(530\) −4.70832 0.387513i −0.204516 0.0168325i
\(531\) 12.9891 31.3722i 0.563680 1.36144i
\(532\) 1.30732 1.39410i 0.0566796 0.0604419i
\(533\) −8.03933 + 3.96456i −0.348222 + 0.171724i
\(534\) −7.70590 + 19.4871i −0.333467 + 0.843288i
\(535\) 5.32271 + 40.4300i 0.230121 + 1.74794i
\(536\) −16.8141 32.8085i −0.726260 1.41711i
\(537\) 14.7029 15.7005i 0.634475 0.677527i
\(538\) 31.7149 + 13.7605i 1.36733 + 0.593256i
\(539\) 1.20518 + 6.05883i 0.0519106 + 0.260972i
\(540\) −4.79754 24.1672i −0.206453 1.03999i
\(541\) 2.02972 + 3.03769i 0.0872644 + 0.130600i 0.872534 0.488554i \(-0.162475\pi\)
−0.785269 + 0.619154i \(0.787475\pi\)
\(542\) −9.85469 + 6.34969i −0.423295 + 0.272742i
\(543\) −13.6740 30.1729i −0.586806 1.29484i
\(544\) 6.81770 23.7366i 0.292306 1.01770i
\(545\) −26.2650 + 15.1641i −1.12507 + 0.649560i
\(546\) 0.859134 + 0.554218i 0.0367675 + 0.0237184i
\(547\) −37.1228 + 2.43316i −1.58726 + 0.104034i −0.833273 0.552861i \(-0.813536\pi\)
−0.753982 + 0.656895i \(0.771869\pi\)
\(548\) 9.02617 + 38.8187i 0.385579 + 1.65825i
\(549\) −9.11790 + 5.26609i −0.389143 + 0.224751i
\(550\) 0.778903 0.0893637i 0.0332125 0.00381048i
\(551\) 2.29334 17.4196i 0.0976996 0.742102i
\(552\) 20.2604 + 36.5293i 0.862339 + 1.55479i
\(553\) 0.0316998 + 0.240784i 0.00134801 + 0.0102392i
\(554\) 16.2629 4.06835i 0.690944 0.172848i
\(555\) −9.27972 24.6499i −0.393902 1.04633i
\(556\) −8.08554 4.32819i −0.342903 0.183556i
\(557\) 8.14690 40.9572i 0.345195 1.73541i −0.284595 0.958648i \(-0.591859\pi\)
0.629790 0.776765i \(-0.283141\pi\)
\(558\) −8.16562 8.43989i −0.345678 0.357289i
\(559\) −1.45493 1.45493i −0.0615368 0.0615368i
\(560\) 0.697807 2.59154i 0.0294877 0.109513i
\(561\) 4.28284 + 5.21783i 0.180821 + 0.220297i
\(562\) −4.94326 + 13.8022i −0.208519 + 0.582209i
\(563\) 13.0210 + 38.3585i 0.548768 + 1.61662i 0.767651 + 0.640869i \(0.221426\pi\)
−0.218882 + 0.975751i \(0.570241\pi\)
\(564\) 10.9358 12.4564i 0.460479 0.524508i
\(565\) −8.85385 17.9538i −0.372484 0.755323i
\(566\) 0.324303 0.180097i 0.0136315 0.00757002i
\(567\) 1.80046 1.80157i 0.0756124 0.0756589i
\(568\) 1.31229 5.21861i 0.0550626 0.218968i
\(569\) −41.6330 5.48109i −1.74535 0.229779i −0.810726 0.585426i \(-0.800927\pi\)
−0.934620 + 0.355647i \(0.884261\pi\)
\(570\) −4.76905 + 19.0206i −0.199754 + 0.796685i
\(571\) −22.5808 25.7485i −0.944977 1.07754i −0.996884 0.0788874i \(-0.974863\pi\)
0.0519070 0.998652i \(-0.483470\pi\)
\(572\) −2.46504 + 0.926053i −0.103069 + 0.0387202i
\(573\) −15.3982 28.8027i −0.643271 1.20325i
\(574\) −0.514250 + 2.37748i −0.0214644 + 0.0992342i
\(575\) −5.29504 −0.220818
\(576\) 17.5444 16.3767i 0.731015 0.682362i
\(577\) −13.9188 −0.579447 −0.289724 0.957110i \(-0.593563\pi\)
−0.289724 + 0.957110i \(0.593563\pi\)
\(578\) −0.615781 + 2.84688i −0.0256131 + 0.118415i
\(579\) −28.2472 0.922545i −1.17391 0.0383396i
\(580\) −8.67701 23.0972i −0.360293 0.959058i
\(581\) 0.597273 + 0.681060i 0.0247791 + 0.0282551i
\(582\) −13.4244 + 3.83022i −0.556461 + 0.158768i
\(583\) 1.24708 + 0.164181i 0.0516487 + 0.00679968i
\(584\) −28.2022 + 16.8685i −1.16702 + 0.698025i
\(585\) −10.4677 0.684471i −0.432784 0.0282994i
\(586\) −21.5184 + 11.9499i −0.888917 + 0.493647i
\(587\) 0.443047 + 0.898411i 0.0182865 + 0.0370814i 0.905824 0.423653i \(-0.139253\pi\)
−0.887538 + 0.460735i \(0.847586\pi\)
\(588\) −22.7032 + 7.69314i −0.936266 + 0.317260i
\(589\) 3.00428 + 8.85032i 0.123789 + 0.364671i
\(590\) −12.7956 + 35.7269i −0.526788 + 1.47085i
\(591\) 4.07043 10.8174i 0.167435 0.444968i
\(592\) 15.6433 20.3351i 0.642935 0.835766i
\(593\) 4.20697 + 4.20697i 0.172759 + 0.172759i 0.788191 0.615431i \(-0.211018\pi\)
−0.615431 + 0.788191i \(0.711018\pi\)
\(594\) 0.962077 + 6.48919i 0.0394745 + 0.266255i
\(595\) −0.571465 + 2.87295i −0.0234278 + 0.117780i
\(596\) −2.72184 + 5.08470i −0.111491 + 0.208277i
\(597\) −37.0894 6.12055i −1.51797 0.250497i
\(598\) 17.2527 4.31597i 0.705517 0.176493i
\(599\) 5.16597 + 39.2395i 0.211076 + 1.60328i 0.688921 + 0.724837i \(0.258085\pi\)
−0.477845 + 0.878444i \(0.658582\pi\)
\(600\) 0.736727 + 2.95173i 0.0300768 + 0.120504i
\(601\) −4.10392 + 31.1724i −0.167403 + 1.27155i 0.677057 + 0.735930i \(0.263255\pi\)
−0.844460 + 0.535619i \(0.820078\pi\)
\(602\) −0.554720 + 0.0636431i −0.0226087 + 0.00259390i
\(603\) 0.00600972 + 39.1024i 0.000244735 + 1.59237i
\(604\) −45.8279 + 10.6560i −1.86471 + 0.433585i
\(605\) 24.1383 1.58211i 0.981360 0.0643218i
\(606\) 23.2963 11.9595i 0.946347 0.485821i
\(607\) −10.2817 + 5.93613i −0.417320 + 0.240940i −0.693930 0.720042i \(-0.744122\pi\)
0.276610 + 0.960982i \(0.410789\pi\)
\(608\) −18.1943 + 5.81518i −0.737875 + 0.235837i
\(609\) 1.48550 2.07335i 0.0601956 0.0840166i
\(610\) 9.89237 6.37396i 0.400530 0.258074i
\(611\) −3.92073 5.86779i −0.158616 0.237385i
\(612\) −17.9151 + 19.1101i −0.724173 + 0.772481i
\(613\) −7.30079 36.7035i −0.294876 1.48244i −0.789724 0.613462i \(-0.789776\pi\)
0.494848 0.868980i \(-0.335224\pi\)
\(614\) 11.2038 + 4.86109i 0.452147 + 0.196177i
\(615\) −7.24674 23.8827i −0.292217 0.963043i
\(616\) −0.219217 + 0.680123i −0.00883251 + 0.0274029i
\(617\) −5.31990 40.4086i −0.214171 1.62679i −0.673964 0.738764i \(-0.735410\pi\)
0.459793 0.888026i \(-0.347923\pi\)
\(618\) −7.38308 + 1.09344i −0.296991 + 0.0439848i
\(619\) −13.7361 + 6.77388i −0.552099 + 0.272265i −0.696867 0.717200i \(-0.745423\pi\)
0.144768 + 0.989466i \(0.453757\pi\)
\(620\) 9.57391 + 8.97797i 0.384498 + 0.360564i
\(621\) −1.45984 44.2815i −0.0585815 1.77695i
\(622\) 38.3988 + 3.16037i 1.53965 + 0.126719i
\(623\) 2.33859 0.626622i 0.0936935 0.0251051i
\(624\) −4.80641 9.01705i −0.192410 0.360971i
\(625\) 26.7749 + 7.17430i 1.07099 + 0.286972i
\(626\) 0.00743449 + 0.00266267i 0.000297142 + 0.000106422i
\(627\) 1.51520 4.99633i 0.0605113 0.199534i
\(628\) 28.8233 23.6252i 1.15018 0.942747i
\(629\) −15.5569 + 23.2826i −0.620295 + 0.928337i
\(630\) −1.91201 + 2.10893i −0.0761764 + 0.0840219i
\(631\) −16.2821 + 39.3086i −0.648182 + 1.56485i 0.167198 + 0.985923i \(0.446528\pi\)
−0.815380 + 0.578926i \(0.803472\pi\)
\(632\) 0.894125 2.25656i 0.0355664 0.0897610i
\(633\) −1.70555 + 7.31724i −0.0677895 + 0.290834i
\(634\) −1.85335 + 12.4679i −0.0736058 + 0.495164i
\(635\) 13.5467 + 15.4470i 0.537583 + 0.612996i
\(636\) −0.00261604 + 4.88091i −0.000103733 + 0.193541i
\(637\) 0.667493 + 10.1840i 0.0264470 + 0.403504i
\(638\) 2.00765 + 6.25501i 0.0794838 + 0.247638i
\(639\) −3.76256 + 4.29170i −0.148844 + 0.169777i
\(640\) −18.6954 + 19.2347i −0.738999 + 0.760317i
\(641\) −22.2868 + 38.6019i −0.880277 + 1.52469i −0.0292447 + 0.999572i \(0.509310\pi\)
−0.851033 + 0.525113i \(0.824023\pi\)
\(642\) 41.1837 8.88493i 1.62539 0.350660i
\(643\) −29.3452 14.4714i −1.15726 0.570698i −0.240702 0.970599i \(-0.577378\pi\)
−0.916558 + 0.399902i \(0.869044\pi\)
\(644\) 1.99446 4.39470i 0.0785927 0.173175i
\(645\) 4.65650 3.33735i 0.183350 0.131408i
\(646\) 19.3908 7.65583i 0.762922 0.301214i
\(647\) 2.39365 + 5.77877i 0.0941040 + 0.227187i 0.963922 0.266186i \(-0.0857636\pi\)
−0.869818 + 0.493373i \(0.835764\pi\)
\(648\) −24.4816 + 6.97491i −0.961730 + 0.274000i
\(649\) 3.86665 9.33491i 0.151779 0.366427i
\(650\) 1.29508 + 0.0215895i 0.0507971 + 0.000846809i
\(651\) −0.220911 + 1.33868i −0.00865820 + 0.0524670i
\(652\) −0.298939 1.81758i −0.0117074 0.0711818i
\(653\) −3.78912 11.1624i −0.148280 0.436818i 0.847258 0.531182i \(-0.178252\pi\)
−0.995538 + 0.0943633i \(0.969918\pi\)
\(654\) 17.8263 + 25.7691i 0.697062 + 1.00765i
\(655\) 3.95775 + 14.7705i 0.154642 + 0.577131i
\(656\) 16.0517 18.2582i 0.626713 0.712864i
\(657\) 34.7804 2.28500i 1.35691 0.0891463i
\(658\) −1.90862 0.157087i −0.0744058 0.00612388i
\(659\) −36.9944 32.4433i −1.44110 1.26381i −0.908786 0.417262i \(-0.862990\pi\)
−0.532312 0.846548i \(-0.678677\pi\)
\(660\) −1.42651 7.19171i −0.0555270 0.279937i
\(661\) −2.04973 + 31.2728i −0.0797251 + 1.21637i 0.751234 + 0.660036i \(0.229459\pi\)
−0.830959 + 0.556334i \(0.812208\pi\)
\(662\) −1.64442 6.57342i −0.0639120 0.255483i
\(663\) 5.88991 + 9.47013i 0.228745 + 0.367789i
\(664\) −1.90315 8.85116i −0.0738567 0.343492i
\(665\) 2.09312 0.866998i 0.0811676 0.0336207i
\(666\) −24.6013 + 11.6310i −0.953283 + 0.450691i
\(667\) −8.65569 43.5151i −0.335150 1.68491i
\(668\) −12.8898 24.1507i −0.498721 0.934418i
\(669\) 9.85610 5.26917i 0.381059 0.203718i
\(670\) −2.13100 43.6503i −0.0823276 1.68636i
\(671\) −2.71348 + 1.56663i −0.104753 + 0.0604791i
\(672\) −2.72733 0.500356i −0.105209 0.0193016i
\(673\) −37.0178 21.3722i −1.42693 0.823840i −0.430055 0.902803i \(-0.641506\pi\)
−0.996878 + 0.0789632i \(0.974839\pi\)
\(674\) −0.486441 + 0.946306i −0.0187370 + 0.0364503i
\(675\) 0.732010 3.14270i 0.0281751 0.120962i
\(676\) 21.0871 4.90320i 0.811042 0.188584i
\(677\) −6.24819 2.12098i −0.240138 0.0815157i 0.198776 0.980045i \(-0.436303\pi\)
−0.438914 + 0.898529i \(0.644637\pi\)
\(678\) −17.7421 + 10.6287i −0.681381 + 0.408191i
\(679\) 1.27959 + 0.981866i 0.0491063 + 0.0376806i
\(680\) 18.9607 22.3062i 0.727109 0.855403i
\(681\) 13.2126 24.7236i 0.506307 0.947409i
\(682\) −2.42948 2.51185i −0.0930296 0.0961839i
\(683\) 12.9004 + 8.61977i 0.493620 + 0.329826i 0.777340 0.629081i \(-0.216569\pi\)
−0.283720 + 0.958907i \(0.591569\pi\)
\(684\) 19.9875 + 3.30938i 0.764243 + 0.126537i
\(685\) −9.21695 + 46.3368i −0.352162 + 1.77044i
\(686\) 4.57998 + 3.17192i 0.174864 + 0.121105i
\(687\) 1.17043 + 7.08581i 0.0446547 + 0.270340i
\(688\) 5.15303 + 2.14186i 0.196457 + 0.0816575i
\(689\) 2.00725 + 0.537841i 0.0764702 + 0.0204901i
\(690\) 4.03529 + 49.3528i 0.153621 + 1.87883i
\(691\) 26.6214 30.3559i 1.01272 1.15479i 0.0248261 0.999692i \(-0.492097\pi\)
0.987899 0.155100i \(-0.0495699\pi\)
\(692\) 10.7485 + 23.7611i 0.408596 + 0.903262i
\(693\) 0.535852 0.536016i 0.0203553 0.0203616i
\(694\) −36.8821 + 20.4819i −1.40002 + 0.777482i
\(695\) −6.61829 8.62512i −0.251046 0.327170i
\(696\) −23.0532 + 10.8796i −0.873830 + 0.412390i
\(697\) −16.1527 + 21.0506i −0.611827 + 0.797348i
\(698\) 33.4492 + 4.97220i 1.26607 + 0.188200i
\(699\) −27.7605 + 19.8961i −1.05000 + 0.752540i
\(700\) 0.223150 0.271569i 0.00843427 0.0102644i
\(701\) −5.27343 + 3.52359i −0.199175 + 0.133084i −0.651158 0.758942i \(-0.725717\pi\)
0.451984 + 0.892026i \(0.350717\pi\)
\(702\) 0.176504 + 10.8365i 0.00666173 + 0.408996i
\(703\) 21.6575 0.816829
\(704\) 5.22147 4.87245i 0.196792 0.183638i
\(705\) 17.8972 8.11079i 0.674049 0.305470i
\(706\) −31.9598 28.9846i −1.20282 1.09085i
\(707\) −2.71348 1.33814i −0.102051 0.0503260i
\(708\) 37.8662 + 10.1680i 1.42310 + 0.382136i
\(709\) −10.4835 + 30.8833i −0.393715 + 1.15985i 0.551718 + 0.834031i \(0.313972\pi\)
−0.945433 + 0.325816i \(0.894361\pi\)
\(710\) 3.96705 4.99530i 0.148881 0.187470i
\(711\) −1.93534 + 1.69777i −0.0725807 + 0.0636713i
\(712\) −23.4666 5.90100i −0.879447 0.221149i
\(713\) 14.3676 + 18.7242i 0.538069 + 0.701226i
\(714\) 3.00647 + 0.346566i 0.112514 + 0.0129699i
\(715\) −3.11486 0.204159i −0.116489 0.00763510i
\(716\) 20.1803 + 14.4797i 0.754173 + 0.541133i
\(717\) 17.6842 + 18.8784i 0.660430 + 0.705026i
\(718\) −6.56927 + 1.19324i −0.245163 + 0.0445313i
\(719\) −5.92215 + 5.92215i −0.220859 + 0.220859i −0.808860 0.588001i \(-0.799915\pi\)
0.588001 + 0.808860i \(0.299915\pi\)
\(720\) 26.9503 9.11619i 1.00438 0.339740i
\(721\) 0.609745 + 0.609745i 0.0227081 + 0.0227081i
\(722\) 8.83415 + 6.11821i 0.328773 + 0.227696i
\(723\) 19.9950 + 6.06374i 0.743622 + 0.225513i
\(724\) 32.4956 20.1795i 1.20769 0.749964i
\(725\) 0.211340 3.22442i 0.00784897 0.119752i
\(726\) −3.66145 24.7226i −0.135889 0.917542i
\(727\) 4.84115 3.71475i 0.179548 0.137772i −0.515077 0.857144i \(-0.672237\pi\)
0.694626 + 0.719371i \(0.255570\pi\)
\(728\) −0.505730 + 1.06674i −0.0187436 + 0.0395359i
\(729\) 26.4836 + 5.25523i 0.980875 + 0.194638i
\(730\) −38.7018 + 4.44027i −1.43242 + 0.164342i
\(731\) −5.76743 1.95778i −0.213316 0.0724111i
\(732\) −7.39632 9.64978i −0.273376 0.356666i
\(733\) 10.1616 20.6056i 0.375326 0.761086i −0.624475 0.781045i \(-0.714687\pi\)
0.999801 + 0.0199591i \(0.00635359\pi\)
\(734\) 17.0522 0.832485i 0.629410 0.0307276i
\(735\) −28.2797 2.78311i −1.04311 0.102657i
\(736\) −38.7857 + 28.6734i −1.42966 + 1.05692i
\(737\) 11.6358i 0.428611i
\(738\) −23.9825 + 9.47295i −0.882808 + 0.348704i
\(739\) 10.6793 + 15.9828i 0.392846 + 0.587936i 0.974192 0.225721i \(-0.0724737\pi\)
−0.581346 + 0.813656i \(0.697474\pi\)
\(740\) 26.8310 14.3203i 0.986327 0.526426i
\(741\) 3.55924 7.85702i 0.130752 0.288635i
\(742\) 0.453046 0.335786i 0.0166318 0.0123271i
\(743\) 38.0315 + 29.1826i 1.39524 + 1.07061i 0.987519 + 0.157500i \(0.0503433\pi\)
0.407722 + 0.913106i \(0.366323\pi\)
\(744\) 8.43878 10.6144i 0.309381 0.389143i
\(745\) −5.42402 + 4.16200i −0.198721 + 0.152484i
\(746\) −24.9064 7.12067i −0.911889 0.260706i
\(747\) −2.48392 + 9.27582i −0.0908819 + 0.339385i
\(748\) −5.33191 + 5.68583i −0.194954 + 0.207895i
\(749\) −3.65969 3.20946i −0.133722 0.117271i
\(750\) 4.55826 25.0188i 0.166444 0.913557i
\(751\) −4.22662 + 15.7740i −0.154232 + 0.575600i 0.844938 + 0.534864i \(0.179637\pi\)
−0.999170 + 0.0407365i \(0.987030\pi\)
\(752\) 15.9012 + 10.6531i 0.579858 + 0.388477i
\(753\) 3.11547 8.27952i 0.113534 0.301723i
\(754\) 1.93961 + 10.6783i 0.0706365 + 0.388883i
\(755\) −54.7035 10.8812i −1.99086 0.396008i
\(756\) 2.33261 + 1.79129i 0.0848361 + 0.0651486i
\(757\) 14.2156 21.2751i 0.516673 0.773256i −0.477775 0.878482i \(-0.658557\pi\)
0.994448 + 0.105226i \(0.0335567\pi\)
\(758\) 32.6632 + 0.544509i 1.18638 + 0.0197775i
\(759\) −0.432385 13.1770i −0.0156946 0.478296i
\(760\) −22.4922 2.60847i −0.815877 0.0946191i
\(761\) 15.3921 20.0593i 0.557962 0.727150i −0.426159 0.904648i \(-0.640134\pi\)
0.984121 + 0.177498i \(0.0568003\pi\)
\(762\) 14.7656 15.2499i 0.534902 0.552446i
\(763\) 1.16367 3.42806i 0.0421277 0.124104i
\(764\) 30.6684 21.9482i 1.10954 0.794058i
\(765\) −28.6862 + 11.8874i −1.03715 + 0.429789i
\(766\) −13.5894 42.3390i −0.491007 1.52977i
\(767\) 8.34638 14.4564i 0.301370 0.521989i
\(768\) 21.3805 + 17.6316i 0.771502 + 0.636227i
\(769\) −8.77361 15.1963i −0.316385 0.547994i 0.663346 0.748313i \(-0.269136\pi\)
−0.979731 + 0.200318i \(0.935802\pi\)
\(770\) −0.569060 + 0.627474i −0.0205075 + 0.0226126i
\(771\) −13.6027 0.444260i −0.489890 0.0159996i
\(772\) −3.17883 32.4793i −0.114409 1.16895i