Properties

Label 475.2.bc.a.6.5
Level $475$
Weight $2$
Character 475.6
Analytic conductor $3.793$
Analytic rank $0$
Dimension $1152$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 475 = 5^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 475.bc (of order \(45\), degree \(24\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.79289409601\)
Analytic rank: \(0\)
Dimension: \(1152\)
Relative dimension: \(48\) over \(\Q(\zeta_{45})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{45}]$

Embedding invariants

Embedding label 6.5
Character \(\chi\) \(=\) 475.6
Dual form 475.2.bc.a.396.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.04037 - 1.27497i) q^{2} +(2.34026 - 0.671059i) q^{3} +(1.66084 + 3.40523i) q^{4} +(-1.72152 - 1.42702i) q^{5} +(-5.63058 - 1.61454i) q^{6} +(-2.03230 + 3.52005i) q^{7} +(0.449834 - 4.27989i) q^{8} +(2.48235 - 1.55115i) q^{9} +O(q^{10})\) \(q+(-2.04037 - 1.27497i) q^{2} +(2.34026 - 0.671059i) q^{3} +(1.66084 + 3.40523i) q^{4} +(-1.72152 - 1.42702i) q^{5} +(-5.63058 - 1.61454i) q^{6} +(-2.03230 + 3.52005i) q^{7} +(0.449834 - 4.27989i) q^{8} +(2.48235 - 1.55115i) q^{9} +(1.69313 + 5.10653i) q^{10} +(-3.19498 + 3.54838i) q^{11} +(6.17191 + 6.85460i) q^{12} +(0.0693342 + 1.98547i) q^{13} +(8.63459 - 4.59109i) q^{14} +(-4.98641 - 2.18436i) q^{15} +(-1.70947 + 2.18803i) q^{16} +(3.81487 - 0.266762i) q^{17} -7.04258 q^{18} +(2.70510 + 3.41796i) q^{19} +(2.00016 - 8.23221i) q^{20} +(-2.39395 + 9.60161i) q^{21} +(11.0430 - 3.16654i) q^{22} +(9.21254 - 1.29474i) q^{23} +(-1.81933 - 10.3179i) q^{24} +(0.927235 + 4.91327i) q^{25} +(2.38994 - 4.13950i) q^{26} +(-0.118700 + 0.131830i) q^{27} +(-15.3619 - 1.07421i) q^{28} +(-8.12034 - 0.567830i) q^{29} +(7.38915 + 10.8144i) q^{30} +(-6.73380 + 2.99808i) q^{31} +(-1.81023 + 0.658871i) q^{32} +(-5.09591 + 10.4482i) q^{33} +(-8.12387 - 4.31954i) q^{34} +(8.52181 - 3.15969i) q^{35} +(9.40480 + 5.87677i) q^{36} +(1.98344 - 6.10439i) q^{37} +(-1.16163 - 10.4228i) q^{38} +(1.49463 + 4.59999i) q^{39} +(-6.88188 + 6.72597i) q^{40} +(-2.23255 + 2.85753i) q^{41} +(17.1263 - 16.5387i) q^{42} +(1.76056 + 9.98462i) q^{43} +(-17.3894 - 4.98633i) q^{44} +(-6.48692 - 0.872040i) q^{45} +(-20.4478 - 9.10393i) q^{46} +(3.90042 + 0.272744i) q^{47} +(-2.53232 + 6.26771i) q^{48} +(-4.76048 - 8.24540i) q^{49} +(4.37235 - 11.2071i) q^{50} +(8.74877 - 3.18429i) q^{51} +(-6.64583 + 3.53365i) q^{52} +(-1.22260 - 2.50670i) q^{53} +(0.410272 - 0.117643i) q^{54} +(10.5638 - 1.54930i) q^{55} +(14.1512 + 10.2814i) q^{56} +(8.62429 + 6.18363i) q^{57} +(15.8446 + 11.5118i) q^{58} +(1.25678 + 3.11064i) q^{59} +(-0.843399 - 20.6077i) q^{60} +(-2.93740 + 0.412825i) q^{61} +(17.5619 + 2.46817i) q^{62} +(0.415221 + 11.8904i) q^{63} +(9.96553 + 2.11824i) q^{64} +(2.71394 - 3.51696i) q^{65} +(23.7186 - 14.8210i) q^{66} +(0.518846 + 2.08098i) q^{67} +(7.24428 + 12.5475i) q^{68} +(20.6909 - 9.21218i) q^{69} +(-21.4162 - 4.41808i) q^{70} +(-3.73889 - 3.61060i) q^{71} +(-5.52208 - 11.3219i) q^{72} +(0.227964 - 6.52805i) q^{73} +(-11.8298 + 9.92641i) q^{74} +(5.46706 + 10.8761i) q^{75} +(-7.14619 + 14.8882i) q^{76} +(-5.99732 - 18.4579i) q^{77} +(2.81524 - 11.2913i) q^{78} +(2.33714 - 0.670164i) q^{79} +(6.06524 - 1.32727i) q^{80} +(-4.03884 + 8.28085i) q^{81} +(8.19848 - 2.98400i) q^{82} +(-1.60316 + 0.713772i) q^{83} +(-36.6717 + 7.79480i) q^{84} +(-6.94803 - 4.98466i) q^{85} +(9.13786 - 22.6170i) q^{86} +(-19.3848 + 4.12036i) q^{87} +(13.7495 + 15.2703i) q^{88} +(2.20392 + 2.82088i) q^{89} +(12.1239 + 10.0499i) q^{90} +(-7.12985 - 3.79101i) q^{91} +(19.7094 + 29.2205i) q^{92} +(-13.7470 + 11.5351i) q^{93} +(-7.61058 - 5.52941i) q^{94} +(0.220617 - 9.74430i) q^{95} +(-3.79428 + 2.75670i) q^{96} +(-0.561810 + 2.25330i) q^{97} +(-0.799446 + 22.8931i) q^{98} +(-2.42700 + 13.7642i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1152 q - 18 q^{2} - 18 q^{3} - 18 q^{4} - 24 q^{5} - 18 q^{6} - 30 q^{7} - 9 q^{8} - 18 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 1152 q - 18 q^{2} - 18 q^{3} - 18 q^{4} - 24 q^{5} - 18 q^{6} - 30 q^{7} - 9 q^{8} - 18 q^{9} - 33 q^{10} - 9 q^{12} - 18 q^{13} - 18 q^{14} + 27 q^{15} - 30 q^{16} - 36 q^{17} - 144 q^{18} - 18 q^{19} - 54 q^{20} + 9 q^{21} + 6 q^{22} - 24 q^{23} - 120 q^{24} - 90 q^{25} - 24 q^{26} - 9 q^{27} + 54 q^{28} + 9 q^{30} - 45 q^{31} - 138 q^{32} + 54 q^{33} - 18 q^{34} + 45 q^{35} - 72 q^{36} - 36 q^{37} + 93 q^{38} - 36 q^{39} + 57 q^{40} - 18 q^{41} + 36 q^{42} - 252 q^{43} - 42 q^{44} - 90 q^{45} - 69 q^{46} - 18 q^{47} + 6 q^{48} - 486 q^{49} + 21 q^{50} + 12 q^{51} - 36 q^{53} - 120 q^{54} - 3 q^{55} + 234 q^{56} + 90 q^{57} + 180 q^{58} + 18 q^{59} + 69 q^{60} - 90 q^{61} - 144 q^{62} - 27 q^{63} + 93 q^{64} - 72 q^{65} + 42 q^{66} + 54 q^{67} - 48 q^{68} - 57 q^{69} + 12 q^{70} - 60 q^{71} - 318 q^{72} - 36 q^{73} - 66 q^{74} - 132 q^{75} - 48 q^{76} + 222 q^{77} - 39 q^{78} + 6 q^{79} + 129 q^{80} - 84 q^{81} + 120 q^{82} + 45 q^{83} - 63 q^{84} - 18 q^{85} + 72 q^{86} - 33 q^{87} - 45 q^{88} + 18 q^{89} + 57 q^{90} + 45 q^{91} + 324 q^{92} - 78 q^{93} - 24 q^{94} + 81 q^{95} - 132 q^{96} - 96 q^{97} - 153 q^{98} - 6 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/475\mathbb{Z}\right)^\times\).

\(n\) \(77\) \(401\)
\(\chi(n)\) \(e\left(\frac{2}{5}\right)\) \(e\left(\frac{7}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.04037 1.27497i −1.44276 0.901538i −0.999988 0.00490438i \(-0.998439\pi\)
−0.442774 0.896633i \(-0.646006\pi\)
\(3\) 2.34026 0.671059i 1.35115 0.387436i 0.479490 0.877547i \(-0.340822\pi\)
0.871660 + 0.490112i \(0.163044\pi\)
\(4\) 1.66084 + 3.40523i 0.830420 + 1.70261i
\(5\) −1.72152 1.42702i −0.769885 0.638182i
\(6\) −5.63058 1.61454i −2.29868 0.659134i
\(7\) −2.03230 + 3.52005i −0.768137 + 1.33045i 0.170435 + 0.985369i \(0.445483\pi\)
−0.938572 + 0.345083i \(0.887851\pi\)
\(8\) 0.449834 4.27989i 0.159040 1.51317i
\(9\) 2.48235 1.55115i 0.827450 0.517048i
\(10\) 1.69313 + 5.10653i 0.535416 + 1.61483i
\(11\) −3.19498 + 3.54838i −0.963322 + 1.06988i 0.0341920 + 0.999415i \(0.489114\pi\)
−0.997514 + 0.0704627i \(0.977552\pi\)
\(12\) 6.17191 + 6.85460i 1.78168 + 1.97875i
\(13\) 0.0693342 + 1.98547i 0.0192298 + 0.550670i 0.970330 + 0.241786i \(0.0777333\pi\)
−0.951100 + 0.308884i \(0.900044\pi\)
\(14\) 8.63459 4.59109i 2.30769 1.22702i
\(15\) −4.98641 2.18436i −1.28748 0.563998i
\(16\) −1.70947 + 2.18803i −0.427369 + 0.547007i
\(17\) 3.81487 0.266762i 0.925242 0.0646992i 0.400819 0.916157i \(-0.368726\pi\)
0.524423 + 0.851458i \(0.324281\pi\)
\(18\) −7.04258 −1.65995
\(19\) 2.70510 + 3.41796i 0.620592 + 0.784133i
\(20\) 2.00016 8.23221i 0.447250 1.84078i
\(21\) −2.39395 + 9.60161i −0.522403 + 2.09524i
\(22\) 11.0430 3.16654i 2.35438 0.675108i
\(23\) 9.21254 1.29474i 1.92095 0.269972i 0.926592 0.376069i \(-0.122724\pi\)
0.994356 + 0.106097i \(0.0338355\pi\)
\(24\) −1.81933 10.3179i −0.371368 2.10613i
\(25\) 0.927235 + 4.91327i 0.185447 + 0.982654i
\(26\) 2.38994 4.13950i 0.468706 0.811823i
\(27\) −0.118700 + 0.131830i −0.0228439 + 0.0253707i
\(28\) −15.3619 1.07421i −2.90312 0.203006i
\(29\) −8.12034 0.567830i −1.50791 0.105443i −0.708278 0.705934i \(-0.750528\pi\)
−0.799632 + 0.600490i \(0.794972\pi\)
\(30\) 7.38915 + 10.8144i 1.34907 + 1.97443i
\(31\) −6.73380 + 2.99808i −1.20943 + 0.538472i −0.909585 0.415517i \(-0.863601\pi\)
−0.299842 + 0.953989i \(0.596934\pi\)
\(32\) −1.81023 + 0.658871i −0.320007 + 0.116473i
\(33\) −5.09591 + 10.4482i −0.887084 + 1.81879i
\(34\) −8.12387 4.31954i −1.39323 0.740795i
\(35\) 8.52181 3.15969i 1.44045 0.534084i
\(36\) 9.40480 + 5.87677i 1.56747 + 0.979461i
\(37\) 1.98344 6.10439i 0.326075 1.00355i −0.644878 0.764285i \(-0.723092\pi\)
0.970953 0.239270i \(-0.0769080\pi\)
\(38\) −1.16163 10.4228i −0.188441 1.69081i
\(39\) 1.49463 + 4.59999i 0.239332 + 0.736588i
\(40\) −6.88188 + 6.72597i −1.08812 + 1.06347i
\(41\) −2.23255 + 2.85753i −0.348665 + 0.446271i −0.930091 0.367328i \(-0.880273\pi\)
0.581426 + 0.813599i \(0.302495\pi\)
\(42\) 17.1263 16.5387i 2.64264 2.55197i
\(43\) 1.76056 + 9.98462i 0.268483 + 1.52264i 0.758932 + 0.651170i \(0.225722\pi\)
−0.490449 + 0.871470i \(0.663167\pi\)
\(44\) −17.3894 4.98633i −2.62155 0.751718i
\(45\) −6.48692 0.872040i −0.967013 0.129996i
\(46\) −20.4478 9.10393i −3.01486 1.34230i
\(47\) 3.90042 + 0.272744i 0.568935 + 0.0397838i 0.351328 0.936253i \(-0.385730\pi\)
0.217607 + 0.976036i \(0.430175\pi\)
\(48\) −2.53232 + 6.26771i −0.365509 + 0.904666i
\(49\) −4.76048 8.24540i −0.680069 1.17791i
\(50\) 4.37235 11.2071i 0.618344 1.58492i
\(51\) 8.74877 3.18429i 1.22507 0.445890i
\(52\) −6.64583 + 3.53365i −0.921610 + 0.490029i
\(53\) −1.22260 2.50670i −0.167937 0.344322i 0.798183 0.602415i \(-0.205795\pi\)
−0.966120 + 0.258093i \(0.916906\pi\)
\(54\) 0.410272 0.117643i 0.0558309 0.0160093i
\(55\) 10.5638 1.54930i 1.42442 0.208908i
\(56\) 14.1512 + 10.2814i 1.89103 + 1.37392i
\(57\) 8.62429 + 6.18363i 1.14231 + 0.819042i
\(58\) 15.8446 + 11.5118i 2.08049 + 1.51157i
\(59\) 1.25678 + 3.11064i 0.163619 + 0.404971i 0.986613 0.163079i \(-0.0521425\pi\)
−0.822994 + 0.568050i \(0.807698\pi\)
\(60\) −0.843399 20.6077i −0.108882 2.66045i
\(61\) −2.93740 + 0.412825i −0.376096 + 0.0528568i −0.324689 0.945821i \(-0.605259\pi\)
−0.0514070 + 0.998678i \(0.516371\pi\)
\(62\) 17.5619 + 2.46817i 2.23037 + 0.313458i
\(63\) 0.415221 + 11.8904i 0.0523130 + 1.49805i
\(64\) 9.96553 + 2.11824i 1.24569 + 0.264780i
\(65\) 2.71394 3.51696i 0.336623 0.436225i
\(66\) 23.7186 14.8210i 2.91956 1.82434i
\(67\) 0.518846 + 2.08098i 0.0633871 + 0.254232i 0.993627 0.112721i \(-0.0359566\pi\)
−0.930240 + 0.366953i \(0.880401\pi\)
\(68\) 7.24428 + 12.5475i 0.878498 + 1.52160i
\(69\) 20.6909 9.21218i 2.49089 1.10902i
\(70\) −21.4162 4.41808i −2.55972 0.528062i
\(71\) −3.73889 3.61060i −0.443725 0.428500i 0.438931 0.898521i \(-0.355357\pi\)
−0.882655 + 0.470021i \(0.844246\pi\)
\(72\) −5.52208 11.3219i −0.650783 1.33430i
\(73\) 0.227964 6.52805i 0.0266812 0.764050i −0.910152 0.414274i \(-0.864035\pi\)
0.936833 0.349776i \(-0.113742\pi\)
\(74\) −11.8298 + 9.92641i −1.37519 + 1.15392i
\(75\) 5.46706 + 10.8761i 0.631282 + 1.25586i
\(76\) −7.14619 + 14.8882i −0.819724 + 1.70779i
\(77\) −5.99732 18.4579i −0.683458 2.10347i
\(78\) 2.81524 11.2913i 0.318763 1.27849i
\(79\) 2.33714 0.670164i 0.262949 0.0753993i −0.141573 0.989928i \(-0.545216\pi\)
0.404521 + 0.914529i \(0.367438\pi\)
\(80\) 6.06524 1.32727i 0.678115 0.148394i
\(81\) −4.03884 + 8.28085i −0.448760 + 0.920094i
\(82\) 8.19848 2.98400i 0.905371 0.329528i
\(83\) −1.60316 + 0.713772i −0.175969 + 0.0783466i −0.492831 0.870125i \(-0.664038\pi\)
0.316861 + 0.948472i \(0.397371\pi\)
\(84\) −36.6717 + 7.79480i −4.00121 + 0.850483i
\(85\) −6.94803 4.98466i −0.753620 0.540662i
\(86\) 9.13786 22.6170i 0.985361 2.43885i
\(87\) −19.3848 + 4.12036i −2.07826 + 0.441749i
\(88\) 13.7495 + 15.2703i 1.46570 + 1.62782i
\(89\) 2.20392 + 2.82088i 0.233615 + 0.299013i 0.890505 0.454973i \(-0.150351\pi\)
−0.656891 + 0.753986i \(0.728129\pi\)
\(90\) 12.1239 + 10.0499i 1.27797 + 1.05935i
\(91\) −7.12985 3.79101i −0.747412 0.397406i
\(92\) 19.7094 + 29.2205i 2.05485 + 3.04644i
\(93\) −13.7470 + 11.5351i −1.42549 + 1.19613i
\(94\) −7.61058 5.52941i −0.784971 0.570315i
\(95\) 0.220617 9.74430i 0.0226348 0.999744i
\(96\) −3.79428 + 2.75670i −0.387252 + 0.281355i
\(97\) −0.561810 + 2.25330i −0.0570432 + 0.228788i −0.992050 0.125841i \(-0.959837\pi\)
0.935007 + 0.354629i \(0.115393\pi\)
\(98\) −0.799446 + 22.8931i −0.0807563 + 2.31256i
\(99\) −2.42700 + 13.7642i −0.243923 + 1.38336i
\(100\) −15.1908 + 11.3176i −1.51908 + 1.13176i
\(101\) 0.470025 0.171075i 0.0467692 0.0170226i −0.318530 0.947913i \(-0.603189\pi\)
0.365299 + 0.930890i \(0.380967\pi\)
\(102\) −21.9106 4.65725i −2.16948 0.461136i
\(103\) −7.51902 3.34768i −0.740871 0.329857i 0.00136165 0.999999i \(-0.499567\pi\)
−0.742233 + 0.670142i \(0.766233\pi\)
\(104\) 8.52878 + 0.596390i 0.836315 + 0.0584809i
\(105\) 17.8229 13.1131i 1.73934 1.27971i
\(106\) −0.701402 + 6.67339i −0.0681261 + 0.648177i
\(107\) −2.14535 + 3.71585i −0.207399 + 0.359225i −0.950894 0.309516i \(-0.899833\pi\)
0.743496 + 0.668741i \(0.233166\pi\)
\(108\) −0.646053 0.185253i −0.0621665 0.0178260i
\(109\) 9.93233 + 1.39590i 0.951345 + 0.133703i 0.597738 0.801691i \(-0.296066\pi\)
0.353607 + 0.935394i \(0.384955\pi\)
\(110\) −23.5294 10.3074i −2.24344 0.982768i
\(111\) 0.545352 15.6168i 0.0517626 1.48229i
\(112\) −4.22779 10.4642i −0.399489 0.988770i
\(113\) −2.46921 + 7.59945i −0.232284 + 0.714896i 0.765186 + 0.643809i \(0.222647\pi\)
−0.997470 + 0.0710873i \(0.977353\pi\)
\(114\) −9.71284 23.6126i −0.909691 2.21152i
\(115\) −17.7072 10.9176i −1.65120 1.01807i
\(116\) −11.5530 28.5947i −1.07267 2.65495i
\(117\) 3.25186 + 4.82109i 0.300635 + 0.445710i
\(118\) 1.40166 7.94923i 0.129034 0.731786i
\(119\) −6.81395 + 13.9707i −0.624633 + 1.28069i
\(120\) −11.5919 + 20.3587i −1.05819 + 1.85848i
\(121\) −1.23332 11.7343i −0.112120 1.06675i
\(122\) 6.51973 + 2.90277i 0.590269 + 0.262805i
\(123\) −3.30717 + 8.18553i −0.298197 + 0.738064i
\(124\) −21.3929 17.9508i −1.92114 1.61203i
\(125\) 5.41508 9.78146i 0.484339 0.874880i
\(126\) 14.3126 24.7902i 1.27507 2.20849i
\(127\) 8.20245 + 10.4987i 0.727850 + 0.931606i 0.999526 0.0307831i \(-0.00980012\pi\)
−0.271676 + 0.962389i \(0.587578\pi\)
\(128\) −14.8612 14.3513i −1.31356 1.26849i
\(129\) 10.8204 + 22.1852i 0.952686 + 1.95329i
\(130\) −10.0215 + 3.71572i −0.878941 + 0.325891i
\(131\) 6.62758 0.463446i 0.579054 0.0404914i 0.222773 0.974870i \(-0.428489\pi\)
0.356281 + 0.934379i \(0.384045\pi\)
\(132\) −44.0419 −3.83335
\(133\) −17.5289 + 2.57576i −1.51995 + 0.223347i
\(134\) 1.59454 4.90748i 0.137747 0.423942i
\(135\) 0.392468 0.0575599i 0.0337783 0.00495397i
\(136\) 0.574349 16.4472i 0.0492500 1.41034i
\(137\) −1.51581 0.805972i −0.129505 0.0688588i 0.403455 0.914999i \(-0.367809\pi\)
−0.532960 + 0.846141i \(0.678920\pi\)
\(138\) −53.9624 7.58392i −4.59358 0.645586i
\(139\) −1.98757 2.54397i −0.168584 0.215777i 0.696298 0.717752i \(-0.254829\pi\)
−0.864882 + 0.501975i \(0.832607\pi\)
\(140\) 24.9128 + 23.7710i 2.10552 + 2.00901i
\(141\) 9.31103 1.97912i 0.784130 0.166672i
\(142\) 3.02533 + 12.1339i 0.253880 + 1.01826i
\(143\) −7.26673 6.09751i −0.607675 0.509900i
\(144\) −0.849568 + 8.08310i −0.0707973 + 0.673591i
\(145\) 13.1690 + 12.5654i 1.09363 + 1.04350i
\(146\) −8.78818 + 13.0290i −0.727315 + 1.07829i
\(147\) −16.6739 16.1018i −1.37524 1.32805i
\(148\) 24.0810 3.38436i 1.97945 0.278193i
\(149\) 2.57275 + 0.936403i 0.210768 + 0.0767131i 0.445246 0.895408i \(-0.353116\pi\)
−0.234479 + 0.972121i \(0.575338\pi\)
\(150\) 2.71182 29.1616i 0.221419 2.38104i
\(151\) −6.01220 −0.489266 −0.244633 0.969616i \(-0.578667\pi\)
−0.244633 + 0.969616i \(0.578667\pi\)
\(152\) 15.8453 10.0400i 1.28523 0.814352i
\(153\) 9.05606 6.57961i 0.732139 0.531930i
\(154\) −11.2964 + 45.3073i −0.910288 + 3.65097i
\(155\) 15.8707 + 4.44802i 1.27476 + 0.357273i
\(156\) −13.1817 + 12.7294i −1.05538 + 1.01917i
\(157\) −1.47417 8.36044i −0.117652 0.667236i −0.985403 0.170237i \(-0.945547\pi\)
0.867751 0.496998i \(-0.165565\pi\)
\(158\) −5.62307 1.61239i −0.447348 0.128275i
\(159\) −4.54335 5.04590i −0.360311 0.400166i
\(160\) 4.05657 + 1.44898i 0.320700 + 0.114552i
\(161\) −14.1651 + 35.0599i −1.11637 + 2.76310i
\(162\) 18.7985 11.7466i 1.47695 0.922903i
\(163\) 17.1870 3.65320i 1.34619 0.286141i 0.522236 0.852801i \(-0.325098\pi\)
0.823952 + 0.566660i \(0.191765\pi\)
\(164\) −13.4384 2.85643i −1.04937 0.223050i
\(165\) 23.6824 10.7147i 1.84367 0.834140i
\(166\) 4.18107 + 0.587612i 0.324514 + 0.0456075i
\(167\) 3.46930 3.35026i 0.268462 0.259251i −0.548226 0.836330i \(-0.684697\pi\)
0.816688 + 0.577079i \(0.195808\pi\)
\(168\) 40.0169 + 14.5650i 3.08737 + 1.12371i
\(169\) 9.03105 0.631512i 0.694696 0.0485779i
\(170\) 7.82131 + 19.0291i 0.599867 + 1.45946i
\(171\) 12.0168 + 4.28857i 0.918944 + 0.327955i
\(172\) −31.0759 + 22.5780i −2.36952 + 1.72155i
\(173\) −7.93304 4.95711i −0.603138 0.376882i 0.193713 0.981058i \(-0.437947\pi\)
−0.796851 + 0.604176i \(0.793502\pi\)
\(174\) 44.8055 + 16.3079i 3.39669 + 1.23630i
\(175\) −19.1794 6.72133i −1.44982 0.508085i
\(176\) −2.30223 13.0566i −0.173537 0.984176i
\(177\) 5.02862 + 6.43634i 0.377974 + 0.483785i
\(178\) −0.900278 8.56558i −0.0674787 0.642017i
\(179\) −19.3555 8.61764i −1.44670 0.644113i −0.474926 0.880026i \(-0.657525\pi\)
−0.971774 + 0.235913i \(0.924192\pi\)
\(180\) −7.80425 23.5378i −0.581694 1.75440i
\(181\) −3.47805 13.9497i −0.258521 1.03687i −0.949442 0.313942i \(-0.898350\pi\)
0.690921 0.722930i \(-0.257205\pi\)
\(182\) 9.71415 + 16.8254i 0.720061 + 1.24718i
\(183\) −6.59725 + 2.93728i −0.487683 + 0.217130i
\(184\) −1.39722 40.0110i −0.103004 2.94965i
\(185\) −12.1256 + 7.67840i −0.891491 + 0.564527i
\(186\) 42.7558 6.00893i 3.13500 0.440596i
\(187\) −11.2419 + 14.3889i −0.822086 + 1.05222i
\(188\) 5.54922 + 13.7348i 0.404719 + 1.00171i
\(189\) −0.222813 0.685748i −0.0162073 0.0498808i
\(190\) −12.8738 + 19.6007i −0.933963 + 1.42199i
\(191\) −4.27800 + 13.1663i −0.309545 + 0.952681i 0.668397 + 0.743805i \(0.266981\pi\)
−0.977942 + 0.208877i \(0.933019\pi\)
\(192\) 24.7434 1.73023i 1.78570 0.124868i
\(193\) 11.6531 + 4.24138i 0.838809 + 0.305302i 0.725469 0.688255i \(-0.241623\pi\)
0.113340 + 0.993556i \(0.463845\pi\)
\(194\) 4.01918 3.88128i 0.288560 0.278660i
\(195\) 3.99125 10.0518i 0.285819 0.719825i
\(196\) 20.1711 29.9048i 1.44079 2.13606i
\(197\) 0.475427 + 4.52339i 0.0338728 + 0.322278i 0.998317 + 0.0579918i \(0.0184697\pi\)
−0.964444 + 0.264286i \(0.914864\pi\)
\(198\) 22.5009 24.9898i 1.59907 1.77595i
\(199\) −4.04101 3.39081i −0.286460 0.240368i 0.488222 0.872719i \(-0.337646\pi\)
−0.774682 + 0.632351i \(0.782090\pi\)
\(200\) 21.4453 1.75830i 1.51642 0.124331i
\(201\) 2.61069 + 4.52185i 0.184144 + 0.318947i
\(202\) −1.17714 0.250209i −0.0828234 0.0176047i
\(203\) 18.5018 27.4300i 1.29857 1.92521i
\(204\) 25.3736 + 24.5030i 1.77651 + 1.71555i
\(205\) 7.92111 1.73340i 0.553234 0.121066i
\(206\) 11.0734 + 16.4170i 0.771522 + 1.14383i
\(207\) 20.8604 17.5040i 1.44990 1.21661i
\(208\) −4.46279 3.24241i −0.309439 0.224820i
\(209\) −20.7710 1.32157i −1.43676 0.0914150i
\(210\) −53.0842 + 4.03204i −3.66316 + 0.278237i
\(211\) −3.87487 2.42129i −0.266757 0.166688i 0.389946 0.920838i \(-0.372494\pi\)
−0.656703 + 0.754150i \(0.728049\pi\)
\(212\) 6.50536 8.32648i 0.446790 0.571865i
\(213\) −11.1729 5.94074i −0.765554 0.407053i
\(214\) 9.11490 4.84648i 0.623081 0.331298i
\(215\) 11.2174 19.7010i 0.765021 1.34360i
\(216\) 0.510822 + 0.567325i 0.0347570 + 0.0386016i
\(217\) 3.13172 29.7963i 0.212595 2.02270i
\(218\) −18.4859 15.5115i −1.25203 1.05057i
\(219\) −3.84721 15.4303i −0.259970 1.04268i
\(220\) 22.8206 + 33.3991i 1.53856 + 2.25176i
\(221\) 0.794148 + 7.55582i 0.0534202 + 0.508259i
\(222\) −21.0237 + 31.1689i −1.41102 + 2.09192i
\(223\) 13.8538 7.36618i 0.927717 0.493276i 0.0643921 0.997925i \(-0.479489\pi\)
0.863325 + 0.504649i \(0.168378\pi\)
\(224\) 1.35968 7.71113i 0.0908474 0.515221i
\(225\) 9.92292 + 10.7582i 0.661528 + 0.717213i
\(226\) 14.7272 12.3576i 0.979636 0.822013i
\(227\) −0.415751 1.27955i −0.0275944 0.0849267i 0.936311 0.351172i \(-0.114217\pi\)
−0.963905 + 0.266245i \(0.914217\pi\)
\(228\) −6.73310 + 39.6377i −0.445910 + 2.62507i
\(229\) 16.9382 12.3063i 1.11931 0.813225i 0.135205 0.990818i \(-0.456831\pi\)
0.984104 + 0.177592i \(0.0568308\pi\)
\(230\) 22.2097 + 44.8519i 1.46446 + 2.95745i
\(231\) −26.4216 39.1716i −1.73841 2.57730i
\(232\) −6.08306 + 34.4987i −0.399372 + 2.26495i
\(233\) 9.61650 19.7167i 0.629998 1.29169i −0.310075 0.950712i \(-0.600354\pi\)
0.940073 0.340974i \(-0.110757\pi\)
\(234\) −0.488291 13.9828i −0.0319206 0.914087i
\(235\) −6.32543 6.03551i −0.412625 0.393713i
\(236\) −8.50514 + 9.44591i −0.553637 + 0.614876i
\(237\) 5.01979 3.13672i 0.326071 0.203752i
\(238\) 31.7151 19.8178i 2.05579 1.28460i
\(239\) 0.739955 0.821804i 0.0478637 0.0531581i −0.718738 0.695282i \(-0.755280\pi\)
0.766601 + 0.642123i \(0.221946\pi\)
\(240\) 13.3036 7.17630i 0.858742 0.463228i
\(241\) −0.0677680 1.94062i −0.00436532 0.125006i −0.999617 0.0276720i \(-0.991191\pi\)
0.995252 0.0973344i \(-0.0310316\pi\)
\(242\) −12.4444 + 25.5148i −0.799955 + 1.64015i
\(243\) −3.80258 + 21.5655i −0.243936 + 1.38343i
\(244\) −6.28432 9.31688i −0.402312 0.596452i
\(245\) −3.57109 + 20.9879i −0.228149 + 1.34087i
\(246\) 17.1841 12.4850i 1.09562 0.796015i
\(247\) −6.59870 + 5.60788i −0.419865 + 0.356821i
\(248\) 9.80236 + 30.1686i 0.622450 + 1.91571i
\(249\) −3.27282 + 2.74622i −0.207407 + 0.174035i
\(250\) −23.5198 + 13.0538i −1.48752 + 0.825593i
\(251\) −3.85287 + 21.8507i −0.243191 + 1.37920i 0.581465 + 0.813571i \(0.302480\pi\)
−0.824656 + 0.565634i \(0.808632\pi\)
\(252\) −39.7999 + 21.1620i −2.50716 + 1.33308i
\(253\) −24.8396 + 36.8263i −1.56166 + 2.31525i
\(254\) −3.35062 31.8790i −0.210237 2.00027i
\(255\) −19.6052 7.00285i −1.22773 0.438536i
\(256\) 7.09552 + 28.4586i 0.443470 + 1.77866i
\(257\) −7.18065 6.02528i −0.447917 0.375847i 0.390745 0.920499i \(-0.372217\pi\)
−0.838662 + 0.544652i \(0.816662\pi\)
\(258\) 6.20764 59.0617i 0.386471 3.67702i
\(259\) 17.4568 + 19.3877i 1.08471 + 1.20469i
\(260\) 16.4835 + 3.40049i 1.02226 + 0.210889i
\(261\) −21.0383 + 11.1863i −1.30224 + 0.692413i
\(262\) −14.1136 7.50434i −0.871942 0.463620i
\(263\) 13.5166 17.3005i 0.833471 1.06679i −0.163306 0.986575i \(-0.552216\pi\)
0.996777 0.0802192i \(-0.0255620\pi\)
\(264\) 42.4246 + 26.5098i 2.61105 + 1.63157i
\(265\) −1.47239 + 6.06001i −0.0904480 + 0.372263i
\(266\) 39.0496 + 17.0933i 2.39428 + 1.04806i
\(267\) 7.05071 + 5.12264i 0.431497 + 0.313501i
\(268\) −6.22448 + 5.22296i −0.380221 + 0.319043i
\(269\) 10.7815 + 15.9842i 0.657360 + 0.974577i 0.999391 + 0.0348880i \(0.0111075\pi\)
−0.342031 + 0.939689i \(0.611115\pi\)
\(270\) −0.874169 0.382940i −0.0532002 0.0233050i
\(271\) 16.1219 + 15.5687i 0.979334 + 0.945731i 0.998536 0.0540841i \(-0.0172239\pi\)
−0.0192028 + 0.999816i \(0.506113\pi\)
\(272\) −5.93774 + 8.80306i −0.360028 + 0.533764i
\(273\) −19.2297 4.08740i −1.16383 0.247381i
\(274\) 2.06524 + 3.57709i 0.124765 + 0.216100i
\(275\) −20.3967 12.4076i −1.22997 0.748207i
\(276\) 65.7339 + 55.1573i 3.95671 + 3.32008i
\(277\) −17.5149 + 19.4523i −1.05237 + 1.16877i −0.0671023 + 0.997746i \(0.521375\pi\)
−0.985266 + 0.171028i \(0.945291\pi\)
\(278\) 0.811904 + 7.72475i 0.0486947 + 0.463299i
\(279\) −12.0652 + 17.8874i −0.722325 + 1.07089i
\(280\) −9.68970 37.8937i −0.579070 2.26458i
\(281\) 17.2764 16.6836i 1.03062 0.995261i 0.0306317 0.999531i \(-0.490248\pi\)
0.999991 + 0.00427011i \(0.00135922\pi\)
\(282\) −21.5213 7.83311i −1.28157 0.466455i
\(283\) 5.37782 0.376054i 0.319678 0.0223541i 0.0909839 0.995852i \(-0.470999\pi\)
0.228694 + 0.973498i \(0.426554\pi\)
\(284\) 6.08523 18.7284i 0.361092 1.11133i
\(285\) −6.02269 22.9522i −0.356754 1.35957i
\(286\) 7.05272 + 21.7060i 0.417036 + 1.28351i
\(287\) −5.52143 13.6660i −0.325920 0.806680i
\(288\) −3.47163 + 4.44348i −0.204568 + 0.261835i
\(289\) −2.35248 + 0.330620i −0.138381 + 0.0194482i
\(290\) −10.8492 42.4282i −0.637086 2.49147i
\(291\) 0.197313 + 5.65031i 0.0115667 + 0.331227i
\(292\) 22.6081 10.0658i 1.32304 0.589055i
\(293\) 4.86453 + 8.42561i 0.284189 + 0.492230i 0.972412 0.233269i \(-0.0749424\pi\)
−0.688223 + 0.725499i \(0.741609\pi\)
\(294\) 13.4917 + 54.1124i 0.786854 + 3.15590i
\(295\) 2.27538 7.14847i 0.132478 0.416200i
\(296\) −25.2339 11.2348i −1.46669 0.653012i
\(297\) −0.0885385 0.842388i −0.00513753 0.0488803i
\(298\) −4.05548 5.19078i −0.234928 0.300694i
\(299\) 3.20941 + 18.2015i 0.185605 + 1.05262i
\(300\) −27.9557 + 36.6801i −1.61402 + 2.11773i
\(301\) −38.7243 14.0945i −2.23203 0.812393i
\(302\) 12.2671 + 7.66535i 0.705894 + 0.441091i
\(303\) 0.985179 0.715775i 0.0565971 0.0411202i
\(304\) −12.1029 + 0.0759215i −0.694148 + 0.00435440i
\(305\) 5.64589 + 3.48104i 0.323283 + 0.199324i
\(306\) −26.8665 + 1.87869i −1.53586 + 0.107398i
\(307\) 13.6113 + 4.95411i 0.776839 + 0.282746i 0.699854 0.714286i \(-0.253248\pi\)
0.0769848 + 0.997032i \(0.475471\pi\)
\(308\) 52.8926 51.0778i 3.01384 2.91043i
\(309\) −19.8430 2.78875i −1.12883 0.158646i
\(310\) −26.7110 29.3102i −1.51708 1.66471i
\(311\) 10.9612 + 2.32987i 0.621552 + 0.132115i 0.507915 0.861407i \(-0.330417\pi\)
0.113637 + 0.993522i \(0.463750\pi\)
\(312\) 20.3598 4.32760i 1.15264 0.245002i
\(313\) 0.984661 0.615284i 0.0556563 0.0347779i −0.501806 0.864980i \(-0.667331\pi\)
0.557462 + 0.830202i \(0.311775\pi\)
\(314\) −7.65142 + 18.9379i −0.431795 + 1.06873i
\(315\) 16.2530 21.0620i 0.915752 1.18671i
\(316\) 6.16368 + 6.84546i 0.346734 + 0.385087i
\(317\) −19.7872 5.67389i −1.11136 0.318677i −0.330764 0.943714i \(-0.607306\pi\)
−0.780596 + 0.625036i \(0.785084\pi\)
\(318\) 2.83677 + 16.0881i 0.159078 + 0.902179i
\(319\) 27.9592 26.9999i 1.56541 1.51170i
\(320\) −14.1331 17.8676i −0.790062 0.998828i
\(321\) −2.52712 + 10.1357i −0.141050 + 0.565720i
\(322\) 73.6023 53.4752i 4.10169 2.98005i
\(323\) 11.2314 + 12.3174i 0.624931 + 0.685361i
\(324\) −34.9060 −1.93922
\(325\) −9.69087 + 2.18166i −0.537553 + 0.121016i
\(326\) −39.7256 14.4589i −2.20020 0.800806i
\(327\) 24.1810 3.39841i 1.33721 0.187933i
\(328\) 11.2256 + 10.8405i 0.619831 + 0.598564i
\(329\) −8.88690 + 13.1754i −0.489950 + 0.726381i
\(330\) −61.9819 8.33225i −3.41199 0.458676i
\(331\) 0.0332526 0.316377i 0.00182773 0.0173897i −0.993570 0.113219i \(-0.963884\pi\)
0.995398 + 0.0958296i \(0.0305504\pi\)
\(332\) −5.09315 4.27366i −0.279523 0.234547i
\(333\) −4.54521 18.2298i −0.249076 0.998988i
\(334\) −11.3501 + 2.41255i −0.621052 + 0.132009i
\(335\) 2.07639 4.32284i 0.113445 0.236182i
\(336\) −16.9162 21.6517i −0.922854 1.18120i
\(337\) −12.5735 1.76709i −0.684921 0.0962594i −0.211875 0.977297i \(-0.567957\pi\)
−0.473047 + 0.881037i \(0.656846\pi\)
\(338\) −19.2319 10.2258i −1.04608 0.556208i
\(339\) −0.678918 + 19.4417i −0.0368738 + 1.05593i
\(340\) 5.43432 31.9384i 0.294717 1.73210i
\(341\) 10.8760 33.4729i 0.588969 1.81266i
\(342\) −19.0509 24.0712i −1.03015 1.30162i
\(343\) 10.2467 0.553270
\(344\) 43.5250 3.04356i 2.34671 0.164098i
\(345\) −48.7657 13.6674i −2.62545 0.735827i
\(346\) 9.86621 + 20.2287i 0.530410 + 1.08750i
\(347\) −1.22170 1.17978i −0.0655843 0.0633340i 0.661144 0.750259i \(-0.270071\pi\)
−0.726728 + 0.686925i \(0.758960\pi\)
\(348\) −46.2258 59.1663i −2.47796 3.17165i
\(349\) −15.3291 + 26.5508i −0.820550 + 1.42123i 0.0847238 + 0.996404i \(0.472999\pi\)
−0.905273 + 0.424829i \(0.860334\pi\)
\(350\) 30.5636 + 38.1671i 1.63369 + 2.04012i
\(351\) −0.269974 0.226535i −0.0144102 0.0120916i
\(352\) 3.44573 8.52848i 0.183658 0.454570i
\(353\) 13.8885 + 6.18358i 0.739212 + 0.329119i 0.741567 0.670879i \(-0.234083\pi\)
−0.00235468 + 0.999997i \(0.500750\pi\)
\(354\) −2.05414 19.5439i −0.109176 1.03874i
\(355\) 1.28416 + 11.5512i 0.0681561 + 0.613073i
\(356\) −5.94540 + 12.1899i −0.315106 + 0.646062i
\(357\) −6.57127 + 37.2675i −0.347788 + 1.97241i
\(358\) 28.5053 + 42.2609i 1.50655 + 2.23356i
\(359\) −12.2132 30.2288i −0.644588 1.59541i −0.794877 0.606770i \(-0.792465\pi\)
0.150289 0.988642i \(-0.451980\pi\)
\(360\) −6.65027 + 27.3710i −0.350500 + 1.44258i
\(361\) −4.36487 + 18.4918i −0.229730 + 0.973254i
\(362\) −10.6889 + 32.8970i −0.561795 + 1.72903i
\(363\) −10.7607 26.6336i −0.564790 1.39790i
\(364\) 1.06770 30.5751i 0.0559629 1.60257i
\(365\) −9.70809 + 10.9128i −0.508145 + 0.571204i
\(366\) 17.2058 + 2.41812i 0.899361 + 0.126397i
\(367\) 25.5493 + 7.32614i 1.33366 + 0.382421i 0.865362 0.501148i \(-0.167089\pi\)
0.468300 + 0.883569i \(0.344867\pi\)
\(368\) −12.9157 + 22.3706i −0.673276 + 1.16615i
\(369\) −1.10952 + 10.5564i −0.0577594 + 0.549544i
\(370\) 34.5304 0.207078i 1.79515 0.0107655i
\(371\) 11.3084 + 0.790761i 0.587103 + 0.0410543i
\(372\) −62.1111 27.6536i −3.22031 1.43377i
\(373\) 1.09318 + 0.232364i 0.0566030 + 0.0120313i 0.236126 0.971722i \(-0.424122\pi\)
−0.179523 + 0.983754i \(0.557455\pi\)
\(374\) 41.2830 15.0258i 2.13469 0.776964i
\(375\) 6.10876 26.5250i 0.315455 1.36974i
\(376\) 2.92186 16.5707i 0.150683 0.854567i
\(377\) 0.564392 16.1621i 0.0290677 0.832389i
\(378\) −0.419684 + 1.68326i −0.0215862 + 0.0865776i
\(379\) 1.66309 1.20831i 0.0854273 0.0620665i −0.544252 0.838922i \(-0.683186\pi\)
0.629679 + 0.776855i \(0.283186\pi\)
\(380\) 33.5480 15.4325i 1.72097 0.791669i
\(381\) 26.2411 + 19.0653i 1.34437 + 0.976743i
\(382\) 25.5153 21.4099i 1.30548 1.09543i
\(383\) −18.2723 27.0899i −0.933673 1.38423i −0.923216 0.384281i \(-0.874449\pi\)
−0.0104567 0.999945i \(-0.503329\pi\)
\(384\) −44.4097 23.6131i −2.26627 1.20500i
\(385\) −16.0152 + 40.3338i −0.816211 + 2.05560i
\(386\) −18.3691 23.5113i −0.934961 1.19670i
\(387\) 19.8579 + 22.0545i 1.00943 + 1.12109i
\(388\) −8.60607 + 1.82928i −0.436907 + 0.0928674i
\(389\) −0.930149 + 2.30220i −0.0471604 + 0.116726i −0.948925 0.315501i \(-0.897828\pi\)
0.901765 + 0.432227i \(0.142272\pi\)
\(390\) −20.9594 + 15.4208i −1.06132 + 0.780860i
\(391\) 34.7993 7.39681i 1.75987 0.374073i
\(392\) −37.4308 + 16.6653i −1.89054 + 0.841723i
\(393\) 15.1993 5.53208i 0.766701 0.279056i
\(394\) 4.79712 9.83556i 0.241676 0.495508i
\(395\) −4.97976 2.18144i −0.250559 0.109760i
\(396\) −50.9012 + 14.5957i −2.55788 + 0.733460i
\(397\) 6.25387 25.0829i 0.313873 1.25887i −0.581496 0.813549i \(-0.697532\pi\)
0.895369 0.445325i \(-0.146912\pi\)
\(398\) 3.92200 + 12.0707i 0.196592 + 0.605048i
\(399\) −39.2938 + 17.7909i −1.96715 + 0.890659i
\(400\) −12.3355 6.37030i −0.616773 0.318515i
\(401\) 5.85846 4.91583i 0.292558 0.245485i −0.484681 0.874691i \(-0.661064\pi\)
0.777239 + 0.629206i \(0.216620\pi\)
\(402\) 0.438423 12.5548i 0.0218666 0.626177i
\(403\) −6.41949 13.1619i −0.319777 0.655641i
\(404\) 1.36319 + 1.31641i 0.0678211 + 0.0654941i
\(405\) 18.7698 8.49211i 0.932681 0.421976i
\(406\) −72.7228 + 32.3783i −3.60917 + 1.60691i
\(407\) 15.3237 + 26.5414i 0.759566 + 1.31561i
\(408\) −9.69292 38.8762i −0.479871 1.92466i
\(409\) 25.3920 15.8667i 1.25555 0.784556i 0.271501 0.962438i \(-0.412480\pi\)
0.984052 + 0.177882i \(0.0569246\pi\)
\(410\) −18.3720 6.56238i −0.907331 0.324093i
\(411\) −4.08825 0.868984i −0.201658 0.0428638i
\(412\) −1.08827 31.1640i −0.0536152 1.53534i
\(413\) −13.5038 1.89783i −0.664477 0.0933861i
\(414\) −64.8801 + 9.11830i −3.18868 + 0.448140i
\(415\) 3.77843 + 1.05897i 0.185476 + 0.0519826i
\(416\) −1.43368 3.54848i −0.0702919 0.173979i
\(417\) −6.35859 4.61979i −0.311381 0.226232i
\(418\) 40.6956 + 29.1788i 1.99048 + 1.42718i
\(419\) 3.19984 + 2.32482i 0.156322 + 0.113575i 0.663197 0.748445i \(-0.269199\pi\)
−0.506874 + 0.862020i \(0.669199\pi\)
\(420\) 74.2542 + 38.9123i 3.62323 + 1.89872i
\(421\) 4.47468 1.28309i 0.218082 0.0625341i −0.164817 0.986324i \(-0.552703\pi\)
0.382899 + 0.923790i \(0.374926\pi\)
\(422\) 4.81912 + 9.88067i 0.234591 + 0.480983i
\(423\) 10.1053 5.37307i 0.491336 0.261248i
\(424\) −11.2784 + 4.10500i −0.547727 + 0.199356i
\(425\) 4.84795 + 18.4961i 0.235160 + 0.897195i
\(426\) 15.2226 + 26.3664i 0.737540 + 1.27746i
\(427\) 4.51651 11.1788i 0.218569 0.540978i
\(428\) −16.2164 1.13396i −0.783849 0.0548121i
\(429\) −21.0978 9.39336i −1.01861 0.453516i
\(430\) −48.0059 + 25.8956i −2.31505 + 1.24880i
\(431\) −33.4614 9.59489i −1.61178 0.462170i −0.655636 0.755077i \(-0.727599\pi\)
−0.956141 + 0.292908i \(0.905377\pi\)
\(432\) −0.0855326 0.485079i −0.00411519 0.0233384i
\(433\) 14.1930 13.7060i 0.682071 0.658668i −0.270593 0.962694i \(-0.587220\pi\)
0.952664 + 0.304026i \(0.0983309\pi\)
\(434\) −44.3792 + 56.8027i −2.13027 + 2.72662i
\(435\) 39.2510 + 20.5692i 1.88194 + 0.986215i
\(436\) 11.7427 + 36.1402i 0.562372 + 1.73080i
\(437\) 29.3462 + 27.9857i 1.40382 + 1.33874i
\(438\) −11.8234 + 36.3886i −0.564943 + 1.73872i
\(439\) 32.5956 + 20.3680i 1.55570 + 0.972111i 0.988954 + 0.148221i \(0.0473546\pi\)
0.566749 + 0.823891i \(0.308201\pi\)
\(440\) −1.87888 45.9089i −0.0895722 2.18862i
\(441\) −24.6070 13.0838i −1.17176 0.623037i
\(442\) 8.01306 16.4292i 0.381142 0.781457i
\(443\) 13.0756 4.75913i 0.621241 0.226113i −0.0121734 0.999926i \(-0.503875\pi\)
0.633415 + 0.773813i \(0.281653\pi\)
\(444\) 54.0847 24.0801i 2.56675 1.14279i
\(445\) 0.231377 8.00123i 0.0109683 0.379294i
\(446\) −37.6585 2.63334i −1.78318 0.124692i
\(447\) 6.64928 + 0.464963i 0.314500 + 0.0219920i
\(448\) −27.7092 + 30.7742i −1.30914 + 1.45395i
\(449\) −7.22609 + 12.5160i −0.341020 + 0.590664i −0.984622 0.174696i \(-0.944106\pi\)
0.643602 + 0.765360i \(0.277439\pi\)
\(450\) −6.53013 34.6021i −0.307833 1.63116i
\(451\) −3.00667 17.0517i −0.141579 0.802932i
\(452\) −29.9788 + 4.21325i −1.41009 + 0.198175i
\(453\) −14.0701 + 4.03454i −0.661071 + 0.189559i
\(454\) −0.783096 + 3.14083i −0.0367525 + 0.147406i
\(455\) 6.86432 + 16.7007i 0.321804 + 0.782942i
\(456\) 30.3447 34.1294i 1.42102 1.59825i
\(457\) 31.5591 1.47627 0.738136 0.674652i \(-0.235706\pi\)
0.738136 + 0.674652i \(0.235706\pi\)
\(458\) −50.2504 + 3.51385i −2.34805 + 0.164192i
\(459\) −0.417659 + 0.534579i −0.0194946 + 0.0249520i
\(460\) 7.76801 78.4292i 0.362185 3.65678i
\(461\) −23.4508 + 12.4690i −1.09221 + 0.580740i −0.915009 0.403434i \(-0.867817\pi\)
−0.177205 + 0.984174i \(0.556705\pi\)
\(462\) 3.96740 + 113.611i 0.184580 + 5.28568i
\(463\) −7.70811 8.56072i −0.358226 0.397851i 0.536913 0.843638i \(-0.319590\pi\)
−0.895139 + 0.445787i \(0.852924\pi\)
\(464\) 15.1239 16.7968i 0.702112 0.779774i
\(465\) 40.1264 0.240637i 1.86082 0.0111593i
\(466\) −44.7594 + 27.9688i −2.07344 + 1.29563i
\(467\) 0.691191 6.57625i 0.0319845 0.304312i −0.966821 0.255454i \(-0.917775\pi\)
0.998806 0.0488583i \(-0.0155583\pi\)
\(468\) −11.0161 + 19.0804i −0.509218 + 0.881992i
\(469\) −8.37958 2.40281i −0.386933 0.110951i
\(470\) 5.21116 + 20.3794i 0.240373 + 0.940032i
\(471\) −9.06029 18.5763i −0.417476 0.855953i
\(472\) 13.8785 3.97961i 0.638812 0.183176i
\(473\) −41.0542 25.6535i −1.88767 1.17955i
\(474\) −14.2415 −0.654132
\(475\) −14.2851 + 16.4601i −0.655445 + 0.755243i
\(476\) −58.8902 −2.69923
\(477\) −6.92319 4.32609i −0.316991 0.198078i
\(478\) −2.55756 + 0.733368i −0.116980 + 0.0335435i
\(479\) 4.01665 + 8.23536i 0.183526 + 0.376283i 0.970645 0.240518i \(-0.0773173\pi\)
−0.787119 + 0.616801i \(0.788428\pi\)
\(480\) 10.4658 + 0.668794i 0.477695 + 0.0305262i
\(481\) 12.2576 + 3.51481i 0.558898 + 0.160262i
\(482\) −2.33596 + 4.04599i −0.106400 + 0.184290i
\(483\) −9.62280 + 91.5548i −0.437852 + 4.16589i
\(484\) 37.9096 23.6885i 1.72316 1.07675i
\(485\) 4.18266 3.07737i 0.189925 0.139736i
\(486\) 35.2540 39.1536i 1.59916 1.77604i
\(487\) −4.71705 5.23882i −0.213750 0.237394i 0.626729 0.779237i \(-0.284393\pi\)
−0.840479 + 0.541844i \(0.817727\pi\)
\(488\) 0.445500 + 12.7574i 0.0201668 + 0.577502i
\(489\) 37.7705 20.0829i 1.70804 0.908181i
\(490\) 34.0452 38.2701i 1.53801 1.72887i
\(491\) 3.78345 4.84259i 0.170745 0.218543i −0.695025 0.718985i \(-0.744607\pi\)
0.865770 + 0.500442i \(0.166829\pi\)
\(492\) −33.3663 + 2.33320i −1.50427 + 0.105189i
\(493\) −31.1295 −1.40200
\(494\) 20.6137 3.02904i 0.927453 0.136283i
\(495\) 23.8199 20.2319i 1.07063 0.909358i
\(496\) 4.95138 19.8589i 0.222323 0.891691i
\(497\) 20.3080 5.82323i 0.910940 0.261208i
\(498\) 10.1791 1.43058i 0.456137 0.0641059i
\(499\) −1.63897 9.29506i −0.0733704 0.416104i −0.999265 0.0383232i \(-0.987798\pi\)
0.925895 0.377781i \(-0.123313\pi\)
\(500\) 42.3017 + 2.19414i 1.89179 + 0.0981250i
\(501\) 5.87084 10.1686i 0.262290 0.454299i
\(502\) 35.7202 39.6713i 1.59427 1.77062i
\(503\) 38.4748 + 2.69042i 1.71551 + 0.119960i 0.893368 0.449325i \(-0.148336\pi\)
0.822140 + 0.569285i \(0.192780\pi\)
\(504\) 51.0763 + 3.57160i 2.27512 + 0.159092i
\(505\) −1.05328 0.376226i −0.0468705 0.0167418i
\(506\) 97.6345 43.4697i 4.34038 1.93246i
\(507\) 20.7112 7.53827i 0.919817 0.334786i
\(508\) −22.1274 + 45.3678i −0.981743 + 2.01287i
\(509\) 31.4246 + 16.7087i 1.39287 + 0.740602i 0.985019 0.172446i \(-0.0551671\pi\)
0.407851 + 0.913048i \(0.366278\pi\)
\(510\) 31.0735 + 39.2844i 1.37596 + 1.73954i
\(511\) 22.5157 + 14.0694i 0.996038 + 0.622393i
\(512\) 9.03793 27.8159i 0.399424 1.22930i
\(513\) −0.771685 0.0490992i −0.0340707 0.00216778i
\(514\) 6.96917 + 21.4489i 0.307397 + 0.946071i
\(515\) 8.16691 + 16.4929i 0.359877 + 0.726763i
\(516\) −57.5746 + 73.6921i −2.53458 + 3.24411i
\(517\) −13.4296 + 12.9688i −0.590632 + 0.570366i
\(518\) −10.8997 61.8150i −0.478903 2.71600i
\(519\) −21.8919 6.27740i −0.960947 0.275547i
\(520\) −13.8314 13.1974i −0.606546 0.578745i
\(521\) −13.1469 5.85337i −0.575975 0.256441i 0.0980100 0.995185i \(-0.468752\pi\)
−0.673985 + 0.738745i \(0.735419\pi\)
\(522\) 57.1882 + 3.99899i 2.50306 + 0.175031i
\(523\) 0.199043 0.492648i 0.00870353 0.0215420i −0.922770 0.385352i \(-0.874080\pi\)
0.931473 + 0.363810i \(0.118524\pi\)
\(524\) 12.5855 + 21.7987i 0.549800 + 0.952282i
\(525\) −49.3951 2.85918i −2.15578 0.124785i
\(526\) −49.6365 + 18.0662i −2.16426 + 0.787725i
\(527\) −24.8888 + 13.2336i −1.08417 + 0.576465i
\(528\) −14.1495 29.0108i −0.615779 1.26253i
\(529\) 61.0855 17.5160i 2.65589 0.761565i
\(530\) 10.7305 10.4874i 0.466104 0.455545i
\(531\) 7.94483 + 5.77226i 0.344776 + 0.250495i
\(532\) −37.8838 55.4121i −1.64247 2.40242i
\(533\) −5.82833 4.23453i −0.252453 0.183418i
\(534\) −7.85489 19.4415i −0.339914 0.841317i
\(535\) 8.99584 3.33545i 0.388924 0.144204i
\(536\) 9.13974 1.28451i 0.394776 0.0554822i
\(537\) −51.0799 7.17881i −2.20426 0.309789i
\(538\) −1.61892 46.3599i −0.0697967 1.99872i
\(539\) 44.4675 + 9.45185i 1.91535 + 0.407120i
\(540\) 0.847832 + 1.24085i 0.0364849 + 0.0533975i
\(541\) −7.04212 + 4.40041i −0.302764 + 0.189188i −0.672790 0.739833i \(-0.734904\pi\)
0.370026 + 0.929021i \(0.379349\pi\)
\(542\) −13.0450 52.3208i −0.560333 2.24737i
\(543\) −17.5006 30.3119i −0.751022 1.30081i
\(544\) −6.73004 + 2.99641i −0.288548 + 0.128470i
\(545\) −15.1067 16.5767i −0.647100 0.710067i
\(546\) 34.0245 + 32.8571i 1.45611 + 1.40615i
\(547\) 3.10130 + 6.35861i 0.132602 + 0.271874i 0.954756 0.297391i \(-0.0961165\pi\)
−0.822154 + 0.569266i \(0.807228\pi\)
\(548\) 0.226995 6.50028i 0.00969673 0.277678i
\(549\) −6.65131 + 5.58111i −0.283871 + 0.238196i
\(550\) 25.7975 + 51.3212i 1.10001 + 2.18834i
\(551\) −20.0255 29.2910i −0.853116 1.24784i
\(552\) −30.1196 92.6986i −1.28198 3.94552i
\(553\) −2.39076 + 9.58881i −0.101665 + 0.407758i
\(554\) 60.5379 17.3590i 2.57201 0.737512i
\(555\) −23.2244 + 26.1064i −0.985820 + 1.10816i
\(556\) 5.36178 10.9933i 0.227390 0.466219i
\(557\) −27.2245 + 9.90891i −1.15354 + 0.419854i −0.846785 0.531935i \(-0.821465\pi\)
−0.306754 + 0.951789i \(0.599243\pi\)
\(558\) 47.4234 21.1142i 2.00759 0.893837i
\(559\) −19.7021 + 4.18781i −0.833310 + 0.177126i
\(560\) −7.65433 + 24.0474i −0.323455 + 1.01619i
\(561\) −16.6531 + 41.2178i −0.703093 + 1.74022i
\(562\) −56.5213 + 12.0140i −2.38421 + 0.506779i
\(563\) 17.9255 + 19.9083i 0.755470 + 0.839034i 0.991143 0.132798i \(-0.0423962\pi\)
−0.235673 + 0.971832i \(0.575729\pi\)
\(564\) 22.2035 + 28.4192i 0.934936 + 1.19666i
\(565\) 15.0953 9.55897i 0.635066 0.402149i
\(566\) −11.4522 6.08925i −0.481373 0.255950i
\(567\) −20.9408 31.0461i −0.879432 1.30381i
\(568\) −17.1349 + 14.3779i −0.718963 + 0.603281i
\(569\) 7.76676 + 5.64288i 0.325600 + 0.236562i 0.738561 0.674186i \(-0.235506\pi\)
−0.412962 + 0.910748i \(0.635506\pi\)
\(570\) −16.9748 + 54.5099i −0.710996 + 2.28317i
\(571\) 19.9922 14.5252i 0.836649 0.607861i −0.0847835 0.996399i \(-0.527020\pi\)
0.921433 + 0.388538i \(0.127020\pi\)
\(572\) 8.69454 34.8719i 0.363537 1.45807i
\(573\) −1.17625 + 33.6834i −0.0491385 + 1.40714i
\(574\) −6.15794 + 34.9234i −0.257027 + 1.45768i
\(575\) 14.9036 + 44.0632i 0.621523 + 1.83756i
\(576\) 28.0236 10.1998i 1.16765 0.424991i
\(577\) −20.1995 4.29354i −0.840917 0.178742i −0.232735 0.972540i \(-0.574768\pi\)
−0.608182 + 0.793798i \(0.708101\pi\)
\(578\) 5.22147 + 2.32475i 0.217185 + 0.0966969i
\(579\) 30.1175 + 2.10602i 1.25164 + 0.0875233i
\(580\) −20.9165 + 65.7126i −0.868510 + 2.72857i
\(581\) 0.745587 7.09378i 0.0309322 0.294300i
\(582\) 6.80136 11.7803i 0.281926 0.488309i
\(583\) 12.8009 + 3.67061i 0.530161 + 0.152021i
\(584\) −27.8368 3.91220i −1.15189 0.161888i
\(585\) 1.28165 12.9401i 0.0529895 0.535005i
\(586\) 0.816919 23.3935i 0.0337466 0.966377i
\(587\) 1.04633 + 2.58975i 0.0431865 + 0.106890i 0.947235 0.320539i \(-0.103864\pi\)
−0.904049 + 0.427429i \(0.859419\pi\)
\(588\) 27.1376 83.5210i 1.11914 3.44435i
\(589\) −28.4629 14.9057i −1.17279 0.614180i
\(590\) −13.7567 + 11.6845i −0.566354 + 0.481044i
\(591\) 4.14808 + 10.2669i 0.170629 + 0.422322i
\(592\) 9.96593 + 14.7751i 0.409597 + 0.607253i
\(593\) −0.996235 + 5.64993i −0.0409105 + 0.232015i −0.998406 0.0564318i \(-0.982028\pi\)
0.957496 + 0.288447i \(0.0931388\pi\)
\(594\) −0.893365 + 1.83167i −0.0366552 + 0.0751543i
\(595\) 31.6667 14.3271i 1.29821 0.587353i
\(596\) 1.08426 + 10.3160i 0.0444129 + 0.422560i
\(597\) −11.7324 5.22362i −0.480177 0.213789i
\(598\) 16.6579 41.2297i 0.681191 1.68601i
\(599\) −11.8021 9.90311i −0.482219 0.404630i 0.369009 0.929426i \(-0.379697\pi\)
−0.851228 + 0.524796i \(0.824142\pi\)
\(600\) 49.0078 18.5060i 2.00073 0.755503i
\(601\) −16.2707 + 28.1816i −0.663695 + 1.14955i 0.315943 + 0.948778i \(0.397679\pi\)
−0.979637 + 0.200775i \(0.935654\pi\)
\(602\) 61.0420 + 78.1302i 2.48789 + 3.18435i
\(603\) 4.51585 + 4.36091i 0.183900 + 0.177590i
\(604\) −9.98530 20.4729i −0.406296 0.833031i
\(605\) −14.6219 + 21.9607i −0.594463 + 0.892831i
\(606\) −2.92272 + 0.204377i −0.118728 + 0.00830224i
\(607\) 6.63138 0.269159 0.134580 0.990903i \(-0.457032\pi\)
0.134580 + 0.990903i \(0.457032\pi\)
\(608\) −7.14886 4.40499i −0.289924 0.178646i
\(609\) 24.8918 76.6090i 1.00867 3.10435i
\(610\) −7.08151 14.3009i −0.286722 0.579028i
\(611\) −0.271093 + 7.76308i −0.0109672 + 0.314061i
\(612\) 37.4458 + 19.9103i 1.51366 + 0.804825i
\(613\) −10.5707 1.48562i −0.426948 0.0600036i −0.0775731 0.996987i \(-0.524717\pi\)
−0.349375 + 0.936983i \(0.613606\pi\)
\(614\) −21.4558 27.4622i −0.865887 1.10828i
\(615\) 17.3742 9.37213i 0.700597 0.377921i
\(616\) −81.6953 + 17.3649i −3.29160 + 0.699651i
\(617\) 0.997429 + 4.00047i 0.0401550 + 0.161053i 0.987026 0.160561i \(-0.0513303\pi\)
−0.946871 + 0.321614i \(0.895775\pi\)
\(618\) 36.9315 + 30.9892i 1.48560 + 1.24657i
\(619\) 0.879495 8.36784i 0.0353499 0.336332i −0.962526 0.271189i \(-0.912583\pi\)
0.997876 0.0651426i \(-0.0207502\pi\)
\(620\) 11.2121 + 61.4307i 0.450291 + 2.46712i
\(621\) −0.922845 + 1.36817i −0.0370325 + 0.0549030i
\(622\) −19.3944 18.7290i −0.777644 0.750963i
\(623\) −14.4087 + 2.02500i −0.577271 + 0.0811301i
\(624\) −12.6199 4.59328i −0.505202 0.183878i
\(625\) −23.2805 + 9.11152i −0.931219 + 0.364461i
\(626\) −2.79354 −0.111652
\(627\) −49.4963 + 10.8457i −1.97669 + 0.433136i
\(628\) 26.0208 18.9052i 1.03834 0.754402i
\(629\) 5.93813 23.8165i 0.236769 0.949628i
\(630\) −60.0155 + 22.2523i −2.39108 + 0.886555i
\(631\) 17.7111 17.1034i 0.705069 0.680877i −0.252983 0.967471i \(-0.581412\pi\)
0.958052 + 0.286594i \(0.0925229\pi\)
\(632\) −1.81690 10.3042i −0.0722724 0.409877i
\(633\) −10.6930 3.06618i −0.425010 0.121870i
\(634\) 33.1392 + 36.8049i 1.31613 + 1.46171i
\(635\) 0.861132 29.7787i 0.0341730 1.18173i
\(636\) 9.63667 23.8516i 0.382119 0.945777i
\(637\) 16.0409 10.0235i 0.635565 0.397145i
\(638\) −91.4712 + 19.4428i −3.62138 + 0.769748i
\(639\) −14.8818 3.16323i −0.588715 0.125135i
\(640\) 5.10424 + 45.9133i 0.201763 + 1.81488i
\(641\) 33.9241 + 4.76772i 1.33992 + 0.188313i 0.772447 0.635079i \(-0.219032\pi\)
0.567473 + 0.823392i \(0.307921\pi\)
\(642\) 18.0790 17.4586i 0.713519 0.689038i
\(643\) −27.9612 10.1771i −1.10268 0.401344i −0.274378 0.961622i \(-0.588472\pi\)
−0.828305 + 0.560278i \(0.810694\pi\)
\(644\) −142.913 + 9.99344i −5.63155 + 0.393797i
\(645\) 13.0311 53.6331i 0.513099 2.11180i
\(646\) −7.21188 39.4518i −0.283748 1.55221i
\(647\) −24.5542 + 17.8396i −0.965324 + 0.701349i −0.954381 0.298592i \(-0.903483\pi\)
−0.0109425 + 0.999940i \(0.503483\pi\)
\(648\) 33.6243 + 21.0108i 1.32089 + 0.825381i
\(649\) −15.0531 5.47890i −0.590888 0.215065i
\(650\) 22.5545 + 7.90414i 0.884661 + 0.310026i
\(651\) −12.6660 71.8326i −0.496421 2.81534i
\(652\) 40.9848 + 52.4582i 1.60509 + 2.05442i
\(653\) 3.60966 + 34.3436i 0.141257 + 1.34397i 0.803779 + 0.594927i \(0.202819\pi\)
−0.662523 + 0.749042i \(0.730514\pi\)
\(654\) −53.6710 23.8959i −2.09870 0.934403i
\(655\) −12.0708 8.65985i −0.471646 0.338368i
\(656\) −2.43587 9.76974i −0.0951048 0.381444i
\(657\) −9.56006 16.5585i −0.372974 0.646009i
\(658\) 34.9307 15.5522i 1.36174 0.606287i
\(659\) −1.35061 38.6765i −0.0526124 1.50662i −0.683044 0.730377i \(-0.739344\pi\)
0.630432 0.776245i \(-0.282878\pi\)
\(660\) 75.8188 + 62.8486i 2.95124 + 2.44638i
\(661\) 23.8851 3.35683i 0.929021 0.130565i 0.341599 0.939846i \(-0.389032\pi\)
0.587422 + 0.809280i \(0.300143\pi\)
\(662\) −0.471218 + 0.603132i −0.0183144 + 0.0234414i
\(663\) 6.92891 + 17.1497i 0.269097 + 0.666037i
\(664\) 2.33371 + 7.18241i 0.0905654 + 0.278732i
\(665\) 33.8520 + 20.5799i 1.31272 + 0.798055i
\(666\) −13.9685 + 42.9906i −0.541269 + 1.66585i
\(667\) −75.5442 + 5.28256i −2.92508 + 0.204542i
\(668\) 17.1704 + 6.24950i 0.664341 + 0.241800i
\(669\) 27.4783 26.5355i 1.06237 1.02592i
\(670\) −9.74808 + 6.17287i −0.376601 + 0.238479i
\(671\) 7.92007 11.7420i 0.305751 0.453294i
\(672\) −1.99262 18.9585i −0.0768668 0.731339i
\(673\) 16.4677 18.2893i 0.634784 0.704999i −0.336831 0.941565i \(-0.609355\pi\)
0.971615 + 0.236566i \(0.0760219\pi\)
\(674\) 23.4016 + 19.6363i 0.901397 + 0.756362i
\(675\) −0.757779 0.460969i −0.0291669 0.0177427i
\(676\) 17.1496 + 29.7039i 0.659599 + 1.14246i
\(677\) −7.49818 1.59379i −0.288178 0.0612542i 0.0615543 0.998104i \(-0.480394\pi\)
−0.349733 + 0.936850i \(0.613728\pi\)
\(678\) 26.1727 38.8027i 1.00516 1.49021i
\(679\) −6.78994 6.55697i −0.260574 0.251633i
\(680\) −24.4592 + 27.4945i −0.937969 + 1.05437i
\(681\) −1.83162 2.71548i −0.0701877 0.104058i
\(682\) −64.8680 + 54.4307i −2.48392 + 2.08426i
\(683\) 40.7959 + 29.6399i 1.56101 + 1.13414i 0.935175 + 0.354185i \(0.115242\pi\)
0.625835 + 0.779956i \(0.284758\pi\)
\(684\) 5.35436 + 48.0424i 0.204729 + 1.83695i
\(685\) 1.45936 + 3.55059i 0.0557592 + 0.135661i
\(686\) −20.9071 13.0642i −0.798237 0.498794i
\(687\) 31.3815 40.1666i 1.19728 1.53245i
\(688\) −24.8563 13.2163i −0.947636 0.503867i
\(689\) 4.89222 2.60124i 0.186379 0.0990993i
\(690\) 82.0747 + 90.0611i 3.12453 + 3.42857i
\(691\) 0.0225316 + 0.0250239i 0.000857144 + 0.000951955i 0.743573 0.668654i \(-0.233129\pi\)
−0.742716 + 0.669606i \(0.766463\pi\)
\(692\) 3.70459 35.2468i 0.140827 1.33988i
\(693\) −43.5183 36.5162i −1.65312 1.38713i
\(694\) 0.988541 + 3.96482i 0.0375245 + 0.150503i
\(695\) −0.208664 + 7.21579i −0.00791509 + 0.273711i
\(696\) 8.91474 + 84.8180i 0.337912 + 3.21502i
\(697\) −7.75459 + 11.4967i −0.293726 + 0.435467i
\(698\) 65.1286 34.6295i 2.46515 1.31075i
\(699\) 9.27401 52.5955i 0.350775 1.98935i
\(700\) −8.96621 76.4732i −0.338891 2.89041i
\(701\) −19.5629 + 16.4152i −0.738881 + 0.619995i −0.932537 0.361075i \(-0.882410\pi\)
0.193656 + 0.981070i \(0.437965\pi\)
\(702\) 0.262023 + 0.806425i 0.00988944 + 0.0304366i
\(703\) 26.2299 9.73368i 0.989280 0.367113i
\(704\) −39.3560 + 28.5938i −1.48328 + 1.07767i
\(705\) −18.8533 9.87992i −0.710057 0.372099i
\(706\) −20.4540 30.3242i −0.769795 1.14127i
\(707\) −0.353039 + 2.00219i −0.0132774 + 0.0753000i
\(708\) −13.5655 + 27.8133i −0.509821 + 1.04529i
\(709\) 0.816604 + 23.3845i 0.0306682 + 0.878222i 0.913089 + 0.407761i \(0.133690\pi\)
−0.882421 + 0.470461i \(0.844087\pi\)
\(710\) 12.1072 25.2060i 0.454375 0.945963i
\(711\) 4.76208 5.28882i 0.178592 0.198346i
\(712\) 13.0645 8.16358i 0.489611 0.305943i
\(713\) −58.1537 + 36.3385i −2.17787 + 1.36089i
\(714\) 60.9227 67.6615i 2.27997 2.53217i
\(715\) 3.80853 + 20.8667i 0.142431 + 0.780371i
\(716\) −2.80143 80.2225i −0.104694 2.99806i
\(717\) 1.18021 2.41979i 0.0440757 0.0903686i
\(718\) −13.6211 + 77.2494i −0.508337 + 2.88292i
\(719\) −2.79795 4.14813i −0.104346 0.154699i 0.773248 0.634103i \(-0.218631\pi\)
−0.877594 + 0.479404i \(0.840853\pi\)
\(720\) 12.9973 12.7028i 0.484380 0.473407i
\(721\) 27.0649 19.6638i 1.00795 0.732318i
\(722\) 32.4824 32.1652i 1.20887 1.19706i
\(723\) −1.46087 4.49608i −0.0543302 0.167211i
\(724\) 41.7254 35.0118i 1.55071 1.30120i
\(725\) −4.73957 40.4240i −0.176023 1.50131i
\(726\) −12.0012 + 68.0621i −0.445406 + 2.52602i
\(727\) 46.1868 24.5580i 1.71298 0.910805i 0.742417 0.669938i \(-0.233679\pi\)
0.970558 0.240867i \(-0.0774317\pi\)
\(728\) −19.4324 + 28.8096i −0.720211 + 1.06776i
\(729\) 2.68355 + 25.5323i 0.0993907 + 0.945639i
\(730\) 33.7216 9.88875i 1.24809 0.365999i
\(731\) 9.37981 + 37.6204i 0.346925 + 1.39144i
\(732\) −20.9591 17.5868i −0.774671 0.650026i
\(733\) −4.10064 + 39.0150i −0.151461 + 1.44105i 0.609775 + 0.792575i \(0.291260\pi\)
−0.761235 + 0.648476i \(0.775407\pi\)
\(734\) −42.7895 47.5226i −1.57939 1.75409i
\(735\) 5.72682 + 51.5135i 0.211237 + 1.90010i
\(736\) −15.8238 + 8.41365i −0.583272 + 0.310131i
\(737\) −9.04180 4.80761i −0.333059 0.177091i
\(738\) 15.7229 20.1244i 0.578768 0.740789i
\(739\) 16.0762 + 10.0456i 0.591374 + 0.369532i 0.792352 0.610064i \(-0.208856\pi\)
−0.200978 + 0.979596i \(0.564412\pi\)
\(740\) −46.2854 28.5378i −1.70148 1.04907i
\(741\) −11.6795 + 17.5520i −0.429055 + 0.644789i
\(742\) −22.0652 16.0313i −0.810038 0.588527i
\(743\) 15.1051 12.6747i 0.554154 0.464990i −0.322191 0.946675i \(-0.604419\pi\)
0.876345 + 0.481684i \(0.159975\pi\)
\(744\) 43.1849 + 64.0243i 1.58324 + 2.34724i
\(745\) −3.09276 5.28339i −0.113310 0.193568i
\(746\) −1.93425 1.86788i −0.0708179 0.0683880i
\(747\) −2.87244 + 4.25856i −0.105097 + 0.155813i
\(748\) −67.6685 14.3834i −2.47421 0.525909i
\(749\) −8.71998 15.1034i −0.318621 0.551868i
\(750\) −46.2826 + 46.3324i −1.69000 + 1.69182i
\(751\) 20.6675 + 17.3421i 0.754169 + 0.632823i 0.936602 0.350395i \(-0.113953\pi\)
−0.182433 + 0.983218i \(0.558397\pi\)
\(752\) −7.26444 + 8.06798i −0.264907 + 0.294209i
\(753\) 5.64639 + 53.7219i 0.205766 + 1.95773i
\(754\) −21.7577 + 32.2571i −0.792368 + 1.17473i
\(755\) 10.3501 + 8.57952i 0.376678 + 0.312241i
\(756\) 1.96507 1.89765i 0.0714690 0.0690168i
\(757\) −20.7575 7.55512i −0.754445 0.274596i −0.0639702 0.997952i \(-0.520376\pi\)
−0.690475 + 0.723356i \(0.742598\pi\)
\(758\) −4.93388 + 0.345010i −0.179207 + 0.0125313i
\(759\) −33.4186 + 102.852i −1.21302 + 3.73329i
\(760\) −41.6052 5.32753i −1.50918 0.193250i
\(761\) 1.59946 + 4.92263i 0.0579804 + 0.178445i 0.975852 0.218432i \(-0.0700940\pi\)
−0.917872 + 0.396877i \(0.870094\pi\)
\(762\) −29.2340 72.3568i −1.05904 2.62121i
\(763\) −25.0991 + 32.1254i −0.908648 + 1.16302i
\(764\) −51.9394 + 7.29961i −1.87910 + 0.264090i
\(765\) −24.9794 1.59626i −0.903132 0.0577129i
\(766\) 2.74373 + 78.5700i 0.0991348 + 2.83885i
\(767\) −6.08895 + 2.71098i −0.219859 + 0.0978877i
\(768\) 35.7027 + 61.8389i 1.28831 + 2.23142i
\(769\) 4.00238 + 16.0527i 0.144329 + 0.578873i 0.998286 + 0.0585288i \(0.0186410\pi\)
−0.853956 + 0.520345i \(0.825803\pi\)
\(770\) 84.1012 61.8771i 3.03080 2.22990i
\(771\) −20.8479