Properties

Label 475.2.bc.a.6.9
Level $475$
Weight $2$
Character 475.6
Analytic conductor $3.793$
Analytic rank $0$
Dimension $1152$
CM no
Inner twists $4$

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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 6.9
Character \(\chi\) \(=\) 475.6
Dual form 475.2.bc.a.396.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.76581 - 1.10340i) q^{2} +(-0.597589 + 0.171356i) q^{3} +(1.02386 + 2.09922i) q^{4} +(1.42897 - 1.71990i) q^{5} +(1.24431 + 0.356799i) q^{6} +(1.89729 - 3.28621i) q^{7} +(0.0730432 - 0.694959i) q^{8} +(-2.21639 + 1.38496i) q^{9} +O(q^{10})\) \(q+(-1.76581 - 1.10340i) q^{2} +(-0.597589 + 0.171356i) q^{3} +(1.02386 + 2.09922i) q^{4} +(1.42897 - 1.71990i) q^{5} +(1.24431 + 0.356799i) q^{6} +(1.89729 - 3.28621i) q^{7} +(0.0730432 - 0.694959i) q^{8} +(-2.21639 + 1.38496i) q^{9} +(-4.42104 + 1.46028i) q^{10} +(0.789636 - 0.876979i) q^{11} +(-0.971562 - 1.07903i) q^{12} +(-0.0671754 - 1.92365i) q^{13} +(-6.97628 + 3.70935i) q^{14} +(-0.559224 + 1.27265i) q^{15} +(1.98008 - 2.53438i) q^{16} +(5.10163 - 0.356741i) q^{17} +5.44191 q^{18} +(3.47549 + 2.63077i) q^{19} +(5.07351 + 1.23880i) q^{20} +(-0.570691 + 2.28892i) q^{21} +(-2.36201 + 0.677296i) q^{22} +(0.229863 - 0.0323051i) q^{23} +(0.0754356 + 0.427817i) q^{24} +(-0.916079 - 4.91536i) q^{25} +(-2.00394 + 3.47093i) q^{26} +(2.33511 - 2.59340i) q^{27} +(8.84104 + 0.618226i) q^{28} +(-5.81965 - 0.406950i) q^{29} +(2.39174 - 1.63022i) q^{30} +(-3.69231 + 1.64392i) q^{31} +(-7.60618 + 2.76842i) q^{32} +(-0.321602 + 0.659382i) q^{33} +(-9.40217 - 4.99922i) q^{34} +(-2.94075 - 7.95904i) q^{35} +(-5.17661 - 3.23470i) q^{36} +(3.56716 - 10.9786i) q^{37} +(-3.23428 - 8.48032i) q^{38} +(0.369773 + 1.13804i) q^{39} +(-1.09088 - 1.11870i) q^{40} +(-3.26718 + 4.18180i) q^{41} +(3.53333 - 3.41210i) q^{42} +(-0.657073 - 3.72645i) q^{43} +(2.64945 + 0.759718i) q^{44} +(-0.785184 + 5.79103i) q^{45} +(-0.441541 - 0.196587i) q^{46} +(-10.4724 - 0.732303i) q^{47} +(-0.748991 + 1.85382i) q^{48} +(-3.69944 - 6.40762i) q^{49} +(-3.80600 + 9.69042i) q^{50} +(-2.98755 + 1.08738i) q^{51} +(3.96940 - 2.11057i) q^{52} +(2.72558 + 5.58827i) q^{53} +(-6.98495 + 2.00290i) q^{54} +(-0.379945 - 2.61127i) q^{55} +(-2.14520 - 1.55858i) q^{56} +(-2.52772 - 0.976572i) q^{57} +(9.82739 + 7.14002i) q^{58} +(-4.03169 - 9.97879i) q^{59} +(-3.24415 + 0.129083i) q^{60} +(0.717163 - 0.100791i) q^{61} +(8.33385 + 1.17125i) q^{62} +(0.346107 + 9.91120i) q^{63} +(10.1940 + 2.16680i) q^{64} +(-3.40447 - 2.63331i) q^{65} +(1.29545 - 0.809490i) q^{66} +(0.832807 + 3.34021i) q^{67} +(5.97223 + 10.3442i) q^{68} +(-0.131828 + 0.0586936i) q^{69} +(-3.58921 + 17.2990i) q^{70} +(-2.09626 - 2.02434i) q^{71} +(0.800596 + 1.64147i) q^{72} +(0.398713 - 11.4176i) q^{73} +(-18.4128 + 15.4501i) q^{74} +(1.38972 + 2.78039i) q^{75} +(-1.96415 + 9.98937i) q^{76} +(-1.38377 - 4.25879i) q^{77} +(0.602771 - 2.41758i) q^{78} +(2.06260 - 0.591442i) q^{79} +(-1.52940 - 7.02708i) q^{80} +(2.48604 - 5.09713i) q^{81} +(10.3834 - 3.77926i) q^{82} +(-10.4826 + 4.66714i) q^{83} +(-5.38925 + 1.14552i) q^{84} +(6.67654 - 9.28405i) q^{85} +(-2.95150 + 7.30523i) q^{86} +(3.54749 - 0.754043i) q^{87} +(-0.551787 - 0.612822i) q^{88} +(8.28563 + 10.6051i) q^{89} +(7.77633 - 9.35951i) q^{90} +(-6.44897 - 3.42898i) q^{91} +(0.303163 + 0.449457i) q^{92} +(1.92479 - 1.61509i) q^{93} +(17.6843 + 12.8484i) q^{94} +(9.49103 - 2.21819i) q^{95} +(4.07099 - 2.95774i) q^{96} +(1.12150 - 4.49810i) q^{97} +(-0.537662 + 15.3966i) q^{98} +(-0.535565 + 3.03734i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.76581 1.10340i −1.24862 0.780224i −0.265663 0.964066i \(-0.585591\pi\)
−0.982956 + 0.183842i \(0.941147\pi\)
\(3\) −0.597589 + 0.171356i −0.345018 + 0.0989324i −0.443672 0.896189i \(-0.646324\pi\)
0.0986532 + 0.995122i \(0.468547\pi\)
\(4\) 1.02386 + 2.09922i 0.511930 + 1.04961i
\(5\) 1.42897 1.71990i 0.639056 0.769161i
\(6\) 1.24431 + 0.356799i 0.507986 + 0.145663i
\(7\) 1.89729 3.28621i 0.717109 1.24207i −0.245031 0.969515i \(-0.578798\pi\)
0.962140 0.272554i \(-0.0878685\pi\)
\(8\) 0.0730432 0.694959i 0.0258247 0.245705i
\(9\) −2.21639 + 1.38496i −0.738798 + 0.461652i
\(10\) −4.42104 + 1.46028i −1.39805 + 0.461782i
\(11\) 0.789636 0.876979i 0.238084 0.264419i −0.612248 0.790666i \(-0.709735\pi\)
0.850332 + 0.526247i \(0.176401\pi\)
\(12\) −0.971562 1.07903i −0.280466 0.311489i
\(13\) −0.0671754 1.92365i −0.0186311 0.533525i −0.972446 0.233129i \(-0.925103\pi\)
0.953815 0.300396i \(-0.0971188\pi\)
\(14\) −6.97628 + 3.70935i −1.86449 + 0.991366i
\(15\) −0.559224 + 1.27265i −0.144391 + 0.328598i
\(16\) 1.98008 2.53438i 0.495019 0.633595i
\(17\) 5.10163 0.356741i 1.23733 0.0865224i 0.563943 0.825814i \(-0.309284\pi\)
0.673386 + 0.739292i \(0.264839\pi\)
\(18\) 5.44191 1.28267
\(19\) 3.47549 + 2.63077i 0.797333 + 0.603540i
\(20\) 5.07351 + 1.23880i 1.13447 + 0.277004i
\(21\) −0.570691 + 2.28892i −0.124535 + 0.499482i
\(22\) −2.36201 + 0.677296i −0.503583 + 0.144400i
\(23\) 0.229863 0.0323051i 0.0479297 0.00673608i −0.115167 0.993346i \(-0.536740\pi\)
0.163097 + 0.986610i \(0.447852\pi\)
\(24\) 0.0754356 + 0.427817i 0.0153982 + 0.0873277i
\(25\) −0.916079 4.91536i −0.183216 0.983073i
\(26\) −2.00394 + 3.47093i −0.393006 + 0.680706i
\(27\) 2.33511 2.59340i 0.449393 0.499101i
\(28\) 8.84104 + 0.618226i 1.67080 + 0.116834i
\(29\) −5.81965 0.406950i −1.08068 0.0755686i −0.481704 0.876334i \(-0.659982\pi\)
−0.598978 + 0.800765i \(0.704426\pi\)
\(30\) 2.39174 1.63022i 0.436669 0.297636i
\(31\) −3.69231 + 1.64392i −0.663159 + 0.295257i −0.710579 0.703618i \(-0.751567\pi\)
0.0474198 + 0.998875i \(0.484900\pi\)
\(32\) −7.60618 + 2.76842i −1.34460 + 0.489393i
\(33\) −0.321602 + 0.659382i −0.0559838 + 0.114784i
\(34\) −9.40217 4.99922i −1.61246 0.857360i
\(35\) −2.94075 7.95904i −0.497078 1.34532i
\(36\) −5.17661 3.23470i −0.862768 0.539117i
\(37\) 3.56716 10.9786i 0.586438 1.80487i −0.00697934 0.999976i \(-0.502222\pi\)
0.593417 0.804895i \(-0.297778\pi\)
\(38\) −3.23428 8.48032i −0.524669 1.37569i
\(39\) 0.369773 + 1.13804i 0.0592110 + 0.182233i
\(40\) −1.09088 1.11870i −0.172483 0.176883i
\(41\) −3.26718 + 4.18180i −0.510247 + 0.653087i −0.972292 0.233770i \(-0.924894\pi\)
0.462045 + 0.886857i \(0.347116\pi\)
\(42\) 3.53333 3.41210i 0.545205 0.526498i
\(43\) −0.657073 3.72645i −0.100203 0.568278i −0.993028 0.117875i \(-0.962392\pi\)
0.892826 0.450402i \(-0.148719\pi\)
\(44\) 2.64945 + 0.759718i 0.399420 + 0.114532i
\(45\) −0.785184 + 5.79103i −0.117048 + 0.863276i
\(46\) −0.441541 0.196587i −0.0651016 0.0289851i
\(47\) −10.4724 0.732303i −1.52756 0.106817i −0.718908 0.695105i \(-0.755358\pi\)
−0.808652 + 0.588288i \(0.799802\pi\)
\(48\) −0.748991 + 1.85382i −0.108107 + 0.267575i
\(49\) −3.69944 6.40762i −0.528491 0.915374i
\(50\) −3.80600 + 9.69042i −0.538250 + 1.37043i
\(51\) −2.98755 + 1.08738i −0.418341 + 0.152264i
\(52\) 3.96940 2.11057i 0.550456 0.292683i
\(53\) 2.72558 + 5.58827i 0.374388 + 0.767608i 0.999921 0.0125893i \(-0.00400740\pi\)
−0.625533 + 0.780198i \(0.715119\pi\)
\(54\) −6.98495 + 2.00290i −0.950531 + 0.272560i
\(55\) −0.379945 2.61127i −0.0512318 0.352103i
\(56\) −2.14520 1.55858i −0.286664 0.208274i
\(57\) −2.52772 0.976572i −0.334804 0.129350i
\(58\) 9.82739 + 7.14002i 1.29040 + 0.937530i
\(59\) −4.03169 9.97879i −0.524882 1.29913i −0.924058 0.382253i \(-0.875148\pi\)
0.399176 0.916874i \(-0.369296\pi\)
\(60\) −3.24415 + 0.129083i −0.418818 + 0.0166645i
\(61\) 0.717163 0.100791i 0.0918233 0.0129049i −0.0931118 0.995656i \(-0.529681\pi\)
0.184935 + 0.982751i \(0.440793\pi\)
\(62\) 8.33385 + 1.17125i 1.05840 + 0.148748i
\(63\) 0.346107 + 9.91120i 0.0436053 + 1.24869i
\(64\) 10.1940 + 2.16680i 1.27425 + 0.270850i
\(65\) −3.40447 2.63331i −0.422273 0.326622i
\(66\) 1.29545 0.809490i 0.159459 0.0996413i
\(67\) 0.832807 + 3.34021i 0.101744 + 0.408071i 0.999472 0.0324772i \(-0.0103396\pi\)
−0.897729 + 0.440548i \(0.854784\pi\)
\(68\) 5.97223 + 10.3442i 0.724240 + 1.25442i
\(69\) −0.131828 + 0.0586936i −0.0158702 + 0.00706588i
\(70\) −3.58921 + 17.2990i −0.428992 + 2.06763i
\(71\) −2.09626 2.02434i −0.248780 0.240244i 0.559803 0.828625i \(-0.310877\pi\)
−0.808584 + 0.588381i \(0.799766\pi\)
\(72\) 0.800596 + 1.64147i 0.0943512 + 0.193449i
\(73\) 0.398713 11.4176i 0.0466658 1.33633i −0.719860 0.694120i \(-0.755794\pi\)
0.766526 0.642214i \(-0.221984\pi\)
\(74\) −18.4128 + 15.4501i −2.14044 + 1.79604i
\(75\) 1.38972 + 2.78039i 0.160471 + 0.321052i
\(76\) −1.96415 + 9.98937i −0.225304 + 1.14586i
\(77\) −1.38377 4.25879i −0.157695 0.485334i
\(78\) 0.602771 2.41758i 0.0682503 0.273737i
\(79\) 2.06260 0.591442i 0.232061 0.0665424i −0.157591 0.987504i \(-0.550373\pi\)
0.389652 + 0.920962i \(0.372595\pi\)
\(80\) −1.52940 7.02708i −0.170992 0.785652i
\(81\) 2.48604 5.09713i 0.276226 0.566348i
\(82\) 10.3834 3.77926i 1.14666 0.417350i
\(83\) −10.4826 + 4.66714i −1.15061 + 0.512285i −0.891257 0.453498i \(-0.850176\pi\)
−0.259353 + 0.965783i \(0.583509\pi\)
\(84\) −5.38925 + 1.14552i −0.588015 + 0.124987i
\(85\) 6.67654 9.28405i 0.724172 1.00700i
\(86\) −2.95150 + 7.30523i −0.318269 + 0.787743i
\(87\) 3.54749 0.754043i 0.380331 0.0808419i
\(88\) −0.551787 0.612822i −0.0588207 0.0653271i
\(89\) 8.28563 + 10.6051i 0.878275 + 1.12414i 0.991440 + 0.130565i \(0.0416790\pi\)
−0.113165 + 0.993576i \(0.536099\pi\)
\(90\) 7.77633 9.35951i 0.819697 0.986579i
\(91\) −6.44897 3.42898i −0.676036 0.359455i
\(92\) 0.303163 + 0.449457i 0.0316069 + 0.0468592i
\(93\) 1.92479 1.61509i 0.199591 0.167477i
\(94\) 17.6843 + 12.8484i 1.82400 + 1.32521i
\(95\) 9.49103 2.21819i 0.973759 0.227582i
\(96\) 4.07099 2.95774i 0.415493 0.301874i
\(97\) 1.12150 4.49810i 0.113871 0.456713i −0.886106 0.463483i \(-0.846600\pi\)
0.999977 + 0.00677035i \(0.00215509\pi\)
\(98\) −0.537662 + 15.3966i −0.0543121 + 1.55530i
\(99\) −0.535565 + 3.03734i −0.0538264 + 0.305264i
\(100\) 9.38051 6.95569i 0.938051 0.695569i
\(101\) 12.5183 4.55629i 1.24562 0.453368i 0.366699 0.930340i \(-0.380488\pi\)
0.878918 + 0.476972i \(0.158266\pi\)
\(102\) 6.47528 + 1.37636i 0.641149 + 0.136280i
\(103\) 15.7331 + 7.00484i 1.55023 + 0.690208i 0.990379 0.138384i \(-0.0441907\pi\)
0.559854 + 0.828592i \(0.310857\pi\)
\(104\) −1.34177 0.0938255i −0.131571 0.00920035i
\(105\) 3.12119 + 4.25232i 0.304597 + 0.414984i
\(106\) 1.35325 12.8753i 0.131439 1.25056i
\(107\) −4.29375 + 7.43700i −0.415093 + 0.718962i −0.995438 0.0954087i \(-0.969584\pi\)
0.580345 + 0.814370i \(0.302918\pi\)
\(108\) 7.83496 + 2.24664i 0.753919 + 0.216183i
\(109\) 3.31241 + 0.465528i 0.317271 + 0.0445895i 0.296011 0.955184i \(-0.404343\pi\)
0.0212597 + 0.999774i \(0.493232\pi\)
\(110\) −2.21037 + 5.03025i −0.210751 + 0.479615i
\(111\) −0.250450 + 7.17195i −0.0237717 + 0.680731i
\(112\) −4.57172 11.3154i −0.431987 1.06920i
\(113\) −0.0403189 + 0.124089i −0.00379288 + 0.0116733i −0.952935 0.303175i \(-0.901953\pi\)
0.949142 + 0.314848i \(0.101953\pi\)
\(114\) 3.38592 + 4.51354i 0.317121 + 0.422731i
\(115\) 0.272906 0.441503i 0.0254486 0.0411704i
\(116\) −5.10422 12.6334i −0.473915 1.17298i
\(117\) 2.81306 + 4.17054i 0.260068 + 0.385566i
\(118\) −3.89141 + 22.0693i −0.358233 + 2.03164i
\(119\) 8.50697 17.4419i 0.779833 1.59889i
\(120\) 0.843595 + 0.481597i 0.0770094 + 0.0439636i
\(121\) 1.00425 + 9.55475i 0.0912950 + 0.868614i
\(122\) −1.37759 0.613342i −0.124721 0.0555294i
\(123\) 1.23585 3.05885i 0.111433 0.275807i
\(124\) −7.23137 6.06784i −0.649396 0.544908i
\(125\) −9.76296 5.44836i −0.873226 0.487316i
\(126\) 10.3249 17.8832i 0.919814 1.59316i
\(127\) −11.9868 15.3424i −1.06366 1.36142i −0.928813 0.370550i \(-0.879169\pi\)
−0.134843 0.990867i \(-0.543053\pi\)
\(128\) −3.96471 3.82868i −0.350434 0.338410i
\(129\) 1.03121 + 2.11429i 0.0907929 + 0.186153i
\(130\) 3.10606 + 8.40644i 0.272420 + 0.737294i
\(131\) −12.3035 + 0.860342i −1.07496 + 0.0751684i −0.596245 0.802803i \(-0.703341\pi\)
−0.478713 + 0.877971i \(0.658897\pi\)
\(132\) −1.71347 −0.149138
\(133\) 15.2393 6.42986i 1.32141 0.557539i
\(134\) 2.21501 6.81711i 0.191348 0.588908i
\(135\) −1.12357 7.72205i −0.0967019 0.664608i
\(136\) 0.124719 3.57149i 0.0106946 0.306252i
\(137\) 6.21477 + 3.30445i 0.530963 + 0.282318i 0.713229 0.700931i \(-0.247232\pi\)
−0.182266 + 0.983249i \(0.558343\pi\)
\(138\) 0.297546 + 0.0418174i 0.0253288 + 0.00355973i
\(139\) 11.1498 + 14.2710i 0.945710 + 1.21045i 0.977495 + 0.210959i \(0.0676585\pi\)
−0.0317853 + 0.999495i \(0.510119\pi\)
\(140\) 13.6969 14.3222i 1.15760 1.21045i
\(141\) 6.38369 1.35690i 0.537604 0.114271i
\(142\) 1.46795 + 5.88762i 0.123188 + 0.494078i
\(143\) −1.74005 1.46007i −0.145510 0.122097i
\(144\) −0.878619 + 8.35951i −0.0732183 + 0.696625i
\(145\) −9.01603 + 9.42767i −0.748740 + 0.782925i
\(146\) −13.3023 + 19.7215i −1.10091 + 1.63216i
\(147\) 3.30873 + 3.19520i 0.272899 + 0.263536i
\(148\) 26.6988 3.75227i 2.19463 0.308435i
\(149\) 17.3102 + 6.30041i 1.41811 + 0.516150i 0.933499 0.358580i \(-0.116739\pi\)
0.484611 + 0.874730i \(0.338961\pi\)
\(150\) 0.613915 6.44308i 0.0501259 0.526075i
\(151\) −8.30301 −0.675690 −0.337845 0.941202i \(-0.609698\pi\)
−0.337845 + 0.941202i \(0.609698\pi\)
\(152\) 2.08214 2.22317i 0.168884 0.180323i
\(153\) −10.8132 + 7.85622i −0.874192 + 0.635138i
\(154\) −2.25569 + 9.04709i −0.181769 + 0.729035i
\(155\) −2.44883 + 8.69951i −0.196695 + 0.698762i
\(156\) −2.01041 + 1.94143i −0.160962 + 0.155439i
\(157\) 1.39770 + 7.92676i 0.111549 + 0.632625i 0.988401 + 0.151865i \(0.0485279\pi\)
−0.876852 + 0.480760i \(0.840361\pi\)
\(158\) −4.29477 1.23151i −0.341674 0.0979734i
\(159\) −2.58636 2.87245i −0.205112 0.227800i
\(160\) −6.10762 + 17.0378i −0.482850 + 1.34696i
\(161\) 0.329956 0.816669i 0.0260042 0.0643625i
\(162\) −10.0141 + 6.25749i −0.786780 + 0.491635i
\(163\) −2.83683 + 0.602988i −0.222198 + 0.0472297i −0.317665 0.948203i \(-0.602899\pi\)
0.0954672 + 0.995433i \(0.469565\pi\)
\(164\) −12.1237 2.57696i −0.946698 0.201227i
\(165\) 0.674508 + 1.49536i 0.0525104 + 0.116414i
\(166\) 23.6600 + 3.32519i 1.83637 + 0.258085i
\(167\) 5.75146 5.55412i 0.445061 0.429791i −0.438053 0.898949i \(-0.644332\pi\)
0.883114 + 0.469159i \(0.155443\pi\)
\(168\) 1.54902 + 0.563797i 0.119509 + 0.0434978i
\(169\) 9.27241 0.648390i 0.713262 0.0498761i
\(170\) −22.0336 + 9.02700i −1.68990 + 0.692339i
\(171\) −11.3466 1.01741i −0.867693 0.0778033i
\(172\) 7.14989 5.19470i 0.545174 0.396092i
\(173\) 1.52207 + 0.951092i 0.115721 + 0.0723102i 0.586545 0.809917i \(-0.300488\pi\)
−0.470824 + 0.882227i \(0.656043\pi\)
\(174\) −7.09623 2.58282i −0.537964 0.195803i
\(175\) −17.8910 6.31546i −1.35243 0.477404i
\(176\) −0.659061 3.73772i −0.0496786 0.281741i
\(177\) 4.11922 + 5.27236i 0.309620 + 0.396295i
\(178\) −2.92916 27.8691i −0.219550 2.08888i
\(179\) 15.6655 + 6.97472i 1.17089 + 0.521315i 0.897684 0.440639i \(-0.145248\pi\)
0.273209 + 0.961955i \(0.411915\pi\)
\(180\) −12.9606 + 4.28092i −0.966024 + 0.319081i
\(181\) 2.05565 + 8.24475i 0.152795 + 0.612827i 0.997041 + 0.0768715i \(0.0244931\pi\)
−0.844246 + 0.535956i \(0.819951\pi\)
\(182\) 7.60414 + 13.1708i 0.563656 + 0.976281i
\(183\) −0.411298 + 0.183122i −0.0304040 + 0.0135367i
\(184\) −0.00566083 0.162105i −0.000417322 0.0119505i
\(185\) −13.7847 21.8233i −1.01347 1.60448i
\(186\) −5.18092 + 0.728131i −0.379883 + 0.0533891i
\(187\) 3.71558 4.75572i 0.271710 0.347773i
\(188\) −9.18502 22.7337i −0.669886 1.65803i
\(189\) −4.09207 12.5941i −0.297655 0.916087i
\(190\) −19.2070 6.55552i −1.39342 0.475587i
\(191\) 3.73316 11.4895i 0.270122 0.831350i −0.720347 0.693614i \(-0.756017\pi\)
0.990469 0.137736i \(-0.0439825\pi\)
\(192\) −6.46312 + 0.451945i −0.466436 + 0.0326164i
\(193\) 6.68331 + 2.43253i 0.481075 + 0.175097i 0.571163 0.820837i \(-0.306492\pi\)
−0.0900876 + 0.995934i \(0.528715\pi\)
\(194\) −6.94358 + 6.70534i −0.498520 + 0.481415i
\(195\) 2.48571 + 0.990262i 0.178005 + 0.0709141i
\(196\) 9.66331 14.3264i 0.690236 1.02332i
\(197\) 1.01295 + 9.63759i 0.0721698 + 0.686650i 0.969467 + 0.245222i \(0.0788610\pi\)
−0.897297 + 0.441427i \(0.854472\pi\)
\(198\) 4.29712 4.77244i 0.305383 0.339162i
\(199\) −5.91100 4.95992i −0.419020 0.351600i 0.408770 0.912637i \(-0.365958\pi\)
−0.827790 + 0.561038i \(0.810402\pi\)
\(200\) −3.48289 + 0.277604i −0.246278 + 0.0196296i
\(201\) −1.07004 1.85337i −0.0754749 0.130726i
\(202\) −27.1324 5.76717i −1.90903 0.405777i
\(203\) −12.3789 + 18.3525i −0.868829 + 1.28809i
\(204\) −5.34149 5.15821i −0.373979 0.361147i
\(205\) 2.52355 + 11.5949i 0.176252 + 0.809821i
\(206\) −20.0526 29.7293i −1.39713 2.07134i
\(207\) −0.464725 + 0.389951i −0.0323007 + 0.0271035i
\(208\) −5.00828 3.63873i −0.347262 0.252300i
\(209\) 5.05150 0.970587i 0.349420 0.0671369i
\(210\) −0.819420 10.9527i −0.0565454 0.755811i
\(211\) 10.5087 + 6.56657i 0.723449 + 0.452061i 0.841021 0.541003i \(-0.181955\pi\)
−0.117571 + 0.993064i \(0.537511\pi\)
\(212\) −8.94041 + 11.4432i −0.614030 + 0.785923i
\(213\) 1.59959 + 0.850514i 0.109602 + 0.0582763i
\(214\) 15.7880 8.39462i 1.07924 0.573844i
\(215\) −7.34803 4.19489i −0.501132 0.286089i
\(216\) −1.63175 1.81224i −0.111026 0.123307i
\(217\) −1.60312 + 15.2527i −0.108827 + 1.03542i
\(218\) −5.33543 4.47696i −0.361361 0.303218i
\(219\) 1.71821 + 6.89138i 0.116106 + 0.465676i
\(220\) 5.09262 3.47116i 0.343345 0.234026i
\(221\) −1.02895 9.78981i −0.0692147 0.658534i
\(222\) 8.35580 12.3880i 0.560805 0.831427i
\(223\) −17.8125 + 9.47105i −1.19281 + 0.634228i −0.942587 0.333960i \(-0.891615\pi\)
−0.250223 + 0.968188i \(0.580504\pi\)
\(224\) −5.33354 + 30.2480i −0.356362 + 2.02103i
\(225\) 8.83796 + 9.62565i 0.589197 + 0.641710i
\(226\) 0.208116 0.174630i 0.0138436 0.0116162i
\(227\) −7.90439 24.3272i −0.524633 1.61465i −0.765041 0.643982i \(-0.777281\pi\)
0.240408 0.970672i \(-0.422719\pi\)
\(228\) −0.537983 6.30611i −0.0356288 0.417632i
\(229\) 13.7504 9.99024i 0.908651 0.660174i −0.0320223 0.999487i \(-0.510195\pi\)
0.940673 + 0.339313i \(0.110195\pi\)
\(230\) −0.969057 + 0.478487i −0.0638978 + 0.0315505i
\(231\) 1.55669 + 2.30789i 0.102423 + 0.151848i
\(232\) −0.707899 + 4.01470i −0.0464759 + 0.263578i
\(233\) 3.84800 7.88956i 0.252091 0.516863i −0.734794 0.678291i \(-0.762721\pi\)
0.986884 + 0.161428i \(0.0516100\pi\)
\(234\) −0.365562 10.4683i −0.0238976 0.684336i
\(235\) −16.2243 + 16.9650i −1.05836 + 1.10668i
\(236\) 16.8198 18.6803i 1.09488 1.21598i
\(237\) −1.13124 + 0.706879i −0.0734821 + 0.0459167i
\(238\) −34.2671 + 21.4125i −2.22121 + 1.38797i
\(239\) −1.52245 + 1.69085i −0.0984791 + 0.109372i −0.790370 0.612630i \(-0.790111\pi\)
0.691890 + 0.722003i \(0.256778\pi\)
\(240\) 2.11808 + 3.93724i 0.136722 + 0.254148i
\(241\) 0.119192 + 3.41323i 0.00767786 + 0.219865i 0.997165 + 0.0752449i \(0.0239738\pi\)
−0.989487 + 0.144620i \(0.953804\pi\)
\(242\) 8.76944 17.9800i 0.563721 1.15580i
\(243\) −2.43018 + 13.7822i −0.155896 + 0.884132i
\(244\) 0.945855 + 1.40229i 0.0605522 + 0.0897723i
\(245\) −16.3068 2.79366i −1.04180 0.178480i
\(246\) −5.55743 + 4.03771i −0.354329 + 0.257435i
\(247\) 4.82722 6.86236i 0.307148 0.436642i
\(248\) 0.872762 + 2.68609i 0.0554204 + 0.170567i
\(249\) 5.46452 4.58528i 0.346300 0.290580i
\(250\) 11.2278 + 20.3933i 0.710111 + 1.28978i
\(251\) −2.01756 + 11.4421i −0.127347 + 0.722221i 0.852539 + 0.522663i \(0.175062\pi\)
−0.979886 + 0.199557i \(0.936050\pi\)
\(252\) −20.4514 + 10.8742i −1.28832 + 0.685012i
\(253\) 0.153177 0.227094i 0.00963015 0.0142773i
\(254\) 4.23760 + 40.3181i 0.265891 + 2.52978i
\(255\) −2.39895 + 6.69211i −0.150228 + 0.419076i
\(256\) −2.26613 9.08893i −0.141633 0.568058i
\(257\) 19.1559 + 16.0737i 1.19491 + 1.00265i 0.999761 + 0.0218771i \(0.00696426\pi\)
0.195151 + 0.980773i \(0.437480\pi\)
\(258\) 0.511993 4.87128i 0.0318753 0.303273i
\(259\) −29.3100 32.5521i −1.82123 2.02269i
\(260\) 2.04220 9.84288i 0.126652 0.610430i
\(261\) 13.4622 7.15800i 0.833292 0.443069i
\(262\) 22.6749 + 12.0565i 1.40086 + 0.744851i
\(263\) 6.07745 7.77879i 0.374752 0.479661i −0.563252 0.826285i \(-0.690450\pi\)
0.938004 + 0.346625i \(0.112672\pi\)
\(264\) 0.434753 + 0.271664i 0.0267572 + 0.0167198i
\(265\) 13.5060 + 3.29777i 0.829668 + 0.202580i
\(266\) −34.0045 5.46114i −2.08495 0.334844i
\(267\) −6.76866 4.91772i −0.414235 0.300959i
\(268\) −6.15916 + 5.16815i −0.376230 + 0.315695i
\(269\) 1.06621 + 1.58072i 0.0650078 + 0.0963780i 0.860140 0.510058i \(-0.170376\pi\)
−0.795132 + 0.606436i \(0.792598\pi\)
\(270\) −6.53651 + 14.8755i −0.397799 + 0.905292i
\(271\) 13.7736 + 13.3010i 0.836685 + 0.807977i 0.983447 0.181195i \(-0.0579964\pi\)
−0.146762 + 0.989172i \(0.546885\pi\)
\(272\) 9.19750 13.6359i 0.557681 0.826795i
\(273\) 4.44141 + 0.944052i 0.268807 + 0.0571366i
\(274\) −7.32798 12.6924i −0.442700 0.766778i
\(275\) −5.03404 3.07796i −0.303564 0.185608i
\(276\) −0.258184 0.216642i −0.0155409 0.0130403i
\(277\) −5.99585 + 6.65906i −0.360255 + 0.400104i −0.895840 0.444378i \(-0.853425\pi\)
0.535584 + 0.844482i \(0.320091\pi\)
\(278\) −3.94169 37.5027i −0.236407 2.24926i
\(279\) 5.90686 8.75728i 0.353634 0.524284i
\(280\) −5.74601 + 1.46235i −0.343390 + 0.0873922i
\(281\) 6.65354 6.42525i 0.396917 0.383298i −0.469240 0.883071i \(-0.655472\pi\)
0.866157 + 0.499773i \(0.166583\pi\)
\(282\) −12.7696 4.64776i −0.760420 0.276770i
\(283\) 3.10186 0.216903i 0.184386 0.0128935i 0.0227352 0.999742i \(-0.492763\pi\)
0.161651 + 0.986848i \(0.448318\pi\)
\(284\) 2.10325 6.47315i 0.124805 0.384111i
\(285\) −5.29164 + 2.95191i −0.313450 + 0.174856i
\(286\) 1.46155 + 4.49819i 0.0864233 + 0.265984i
\(287\) 7.54346 + 18.6707i 0.445276 + 1.10210i
\(288\) 13.0241 16.6701i 0.767455 0.982298i
\(289\) 9.06486 1.27398i 0.533227 0.0749402i
\(290\) 26.3232 6.69920i 1.54575 0.393391i
\(291\) 0.100578 + 2.88019i 0.00589602 + 0.168840i
\(292\) 24.3764 10.8531i 1.42652 0.635128i
\(293\) −13.0950 22.6811i −0.765016 1.32505i −0.940238 0.340517i \(-0.889398\pi\)
0.175223 0.984529i \(-0.443935\pi\)
\(294\) −2.31700 9.29300i −0.135130 0.541979i
\(295\) −22.9236 7.32532i −1.33467 0.426497i
\(296\) −7.36912 3.28095i −0.428322 0.190701i
\(297\) −0.430474 4.09569i −0.0249787 0.237656i
\(298\) −23.6148 30.2255i −1.36797 1.75092i
\(299\) −0.0775849 0.440006i −0.00448685 0.0254462i
\(300\) −4.41379 + 5.76405i −0.254830 + 0.332788i
\(301\) −13.4925 4.91088i −0.777697 0.283058i
\(302\) 14.6616 + 9.16157i 0.843679 + 0.527189i
\(303\) −6.70005 + 4.86787i −0.384908 + 0.279652i
\(304\) 13.5491 3.59911i 0.777095 0.206423i
\(305\) 0.851456 1.37747i 0.0487542 0.0788738i
\(306\) 27.7626 1.94135i 1.58708 0.110980i
\(307\) −28.2051 10.2658i −1.60975 0.585902i −0.628361 0.777922i \(-0.716274\pi\)
−0.981391 + 0.192020i \(0.938496\pi\)
\(308\) 7.52337 7.26524i 0.428684 0.413975i
\(309\) −10.6023 1.49005i −0.603143 0.0847662i
\(310\) 13.9233 12.6597i 0.790788 0.719021i
\(311\) −18.2157 3.87188i −1.03292 0.219554i −0.339892 0.940464i \(-0.610391\pi\)
−0.693028 + 0.720911i \(0.743724\pi\)
\(312\) 0.817903 0.173851i 0.0463047 0.00984236i
\(313\) −23.8484 + 14.9021i −1.34799 + 0.842319i −0.995616 0.0935396i \(-0.970182\pi\)
−0.352376 + 0.935858i \(0.614626\pi\)
\(314\) 6.27833 15.5394i 0.354307 0.876940i
\(315\) 17.5408 + 13.5676i 0.988312 + 0.764445i
\(316\) 3.35338 + 3.72431i 0.188643 + 0.209509i
\(317\) 25.5928 + 7.33862i 1.43744 + 0.412178i 0.901757 0.432244i \(-0.142278\pi\)
0.535679 + 0.844422i \(0.320056\pi\)
\(318\) 1.39757 + 7.92601i 0.0783718 + 0.444469i
\(319\) −4.95229 + 4.78237i −0.277275 + 0.267761i
\(320\) 18.2936 14.4363i 1.02264 0.807014i
\(321\) 1.29153 5.18003i 0.0720860 0.289121i
\(322\) −1.48376 + 1.07801i −0.0826865 + 0.0600753i
\(323\) 18.6692 + 12.1814i 1.03878 + 0.677789i
\(324\) 13.2454 0.735854
\(325\) −9.39391 + 2.09241i −0.521081 + 0.116066i
\(326\) 5.67466 + 2.06541i 0.314290 + 0.114392i
\(327\) −2.05923 + 0.289406i −0.113876 + 0.0160042i
\(328\) 2.66753 + 2.57601i 0.147290 + 0.142236i
\(329\) −22.2757 + 33.0252i −1.22810 + 1.82074i
\(330\) 0.458930 3.38478i 0.0252633 0.186326i
\(331\) −0.644137 + 6.12855i −0.0354050 + 0.336856i 0.962454 + 0.271446i \(0.0875020\pi\)
−0.997859 + 0.0654093i \(0.979165\pi\)
\(332\) −20.5300 17.2267i −1.12673 0.945440i
\(333\) 7.29865 + 29.2733i 0.399963 + 1.60417i
\(334\) −16.2844 + 3.46136i −0.891045 + 0.189397i
\(335\) 6.93486 + 3.34072i 0.378892 + 0.182523i
\(336\) 4.67097 + 5.97857i 0.254822 + 0.326158i
\(337\) −3.16413 0.444689i −0.172361 0.0242238i 0.0524645 0.998623i \(-0.483292\pi\)
−0.224826 + 0.974399i \(0.572181\pi\)
\(338\) −17.0888 9.08627i −0.929507 0.494228i
\(339\) 0.00283078 0.0810630i 0.000153747 0.00440274i
\(340\) 26.3251 + 4.50997i 1.42768 + 0.244588i
\(341\) −1.47389 + 4.53618i −0.0798159 + 0.245648i
\(342\) 18.9133 + 14.3164i 1.02271 + 0.774142i
\(343\) −1.51358 −0.0817256
\(344\) −2.63772 + 0.184448i −0.142217 + 0.00994475i
\(345\) −0.0874316 + 0.310602i −0.00470716 + 0.0167222i
\(346\) −1.63825 3.35891i −0.0880727 0.180576i
\(347\) 18.2943 + 17.6666i 0.982087 + 0.948390i 0.998674 0.0514720i \(-0.0163913\pi\)
−0.0165874 + 0.999862i \(0.505280\pi\)
\(348\) 5.21504 + 6.67495i 0.279555 + 0.357815i
\(349\) 18.3185 31.7286i 0.980568 1.69839i 0.320388 0.947286i \(-0.396187\pi\)
0.660180 0.751108i \(-0.270480\pi\)
\(350\) 24.6236 + 30.8929i 1.31619 + 1.65129i
\(351\) −5.14567 4.31773i −0.274656 0.230463i
\(352\) −3.57826 + 8.85651i −0.190722 + 0.472053i
\(353\) −7.34116 3.26849i −0.390730 0.173964i 0.201962 0.979393i \(-0.435268\pi\)
−0.592692 + 0.805429i \(0.701935\pi\)
\(354\) −1.45624 13.8552i −0.0773982 0.736395i
\(355\) −6.47714 + 0.712630i −0.343771 + 0.0378225i
\(356\) −13.7792 + 28.2515i −0.730296 + 1.49733i
\(357\) −2.09491 + 11.8808i −0.110874 + 0.628799i
\(358\) −19.9664 29.6014i −1.05526 1.56448i
\(359\) −4.34223 10.7474i −0.229174 0.567226i 0.768155 0.640264i \(-0.221175\pi\)
−0.997329 + 0.0730378i \(0.976731\pi\)
\(360\) 3.96718 + 0.968667i 0.209089 + 0.0510532i
\(361\) 5.15812 + 18.2864i 0.271480 + 0.962444i
\(362\) 5.46739 16.8269i 0.287360 0.884402i
\(363\) −2.23739 5.53774i −0.117433 0.290656i
\(364\) 0.595351 17.0486i 0.0312049 0.893590i
\(365\) −19.0674 17.0012i −0.998033 0.889885i
\(366\) 0.928332 + 0.130469i 0.0485247 + 0.00681970i
\(367\) 21.0450 + 6.03456i 1.09854 + 0.315001i 0.775477 0.631376i \(-0.217510\pi\)
0.323063 + 0.946377i \(0.395287\pi\)
\(368\) 0.373272 0.646527i 0.0194582 0.0337025i
\(369\) 1.44975 13.7934i 0.0754707 0.718056i
\(370\) 0.261306 + 53.7459i 0.0135846 + 2.79411i
\(371\) 23.5355 + 1.64576i 1.22190 + 0.0854436i
\(372\) 5.36115 + 2.38694i 0.277963 + 0.123757i
\(373\) 28.0867 + 5.97000i 1.45427 + 0.309115i 0.866202 0.499694i \(-0.166554\pi\)
0.588071 + 0.808810i \(0.299888\pi\)
\(374\) −11.8085 + 4.29794i −0.610603 + 0.222241i
\(375\) 6.76785 + 1.58294i 0.349490 + 0.0817426i
\(376\) −1.27386 + 7.22442i −0.0656943 + 0.372571i
\(377\) −0.391892 + 11.2223i −0.0201835 + 0.577979i
\(378\) −6.67054 + 26.7541i −0.343095 + 1.37608i
\(379\) −7.09042 + 5.15149i −0.364211 + 0.264614i −0.754806 0.655948i \(-0.772269\pi\)
0.390596 + 0.920562i \(0.372269\pi\)
\(380\) 14.3740 + 17.6527i 0.737368 + 0.905563i
\(381\) 9.79219 + 7.11444i 0.501669 + 0.364484i
\(382\) −19.2696 + 16.1691i −0.985918 + 0.827284i
\(383\) 0.887960 + 1.31645i 0.0453726 + 0.0672677i 0.851041 0.525099i \(-0.175972\pi\)
−0.805669 + 0.592366i \(0.798194\pi\)
\(384\) 3.02534 + 1.60860i 0.154386 + 0.0820885i
\(385\) −9.30204 3.70576i −0.474076 0.188863i
\(386\) −9.11743 11.6698i −0.464065 0.593976i
\(387\) 6.61730 + 7.34925i 0.336376 + 0.373584i
\(388\) 10.5908 2.25114i 0.537665 0.114284i
\(389\) 9.40151 23.2696i 0.476676 1.17981i −0.476980 0.878914i \(-0.658269\pi\)
0.953656 0.300899i \(-0.0972869\pi\)
\(390\) −3.29664 4.49136i −0.166932 0.227429i
\(391\) 1.16115 0.246810i 0.0587220 0.0124817i
\(392\) −4.72325 + 2.10293i −0.238560 + 0.106214i
\(393\) 7.20499 2.62240i 0.363444 0.132283i
\(394\) 8.84546 18.1359i 0.445628 0.913672i
\(395\) 1.93018 4.39262i 0.0971181 0.221017i
\(396\) −6.92440 + 1.98554i −0.347964 + 0.0997771i
\(397\) 1.50169 6.02293i 0.0753674 0.302282i −0.920768 0.390110i \(-0.872437\pi\)
0.996136 + 0.0878278i \(0.0279925\pi\)
\(398\) 4.96494 + 15.2805i 0.248870 + 0.765943i
\(399\) −8.00504 + 6.45376i −0.400753 + 0.323092i
\(400\) −14.2713 7.41110i −0.713565 0.370555i
\(401\) −9.01429 + 7.56388i −0.450152 + 0.377722i −0.839492 0.543372i \(-0.817147\pi\)
0.389340 + 0.921094i \(0.372703\pi\)
\(402\) −0.155516 + 4.45339i −0.00775642 + 0.222115i
\(403\) 3.41037 + 6.99229i 0.169883 + 0.348311i
\(404\) 22.3816 + 21.6137i 1.11353 + 1.07532i
\(405\) −5.21406 11.5594i −0.259089 0.574390i
\(406\) 42.1090 18.7481i 2.08984 0.930455i
\(407\) −6.81124 11.7974i −0.337621 0.584776i
\(408\) 0.537465 + 2.15565i 0.0266085 + 0.106721i
\(409\) −13.9196 + 8.69791i −0.688278 + 0.430084i −0.828465 0.560041i \(-0.810785\pi\)
0.140187 + 0.990125i \(0.455230\pi\)
\(410\) 8.33770 23.2589i 0.411770 1.14867i
\(411\) −4.28012 0.909767i −0.211123 0.0448755i
\(412\) 1.40379 + 40.1993i 0.0691599 + 1.98048i
\(413\) −40.4417 5.68371i −1.99000 0.279677i
\(414\) 1.25089 0.175801i 0.0614780 0.00864017i
\(415\) −6.95230 + 24.6981i −0.341275 + 1.21238i
\(416\) 5.83643 + 14.4457i 0.286155 + 0.708258i
\(417\) −9.10840 6.61764i −0.446040 0.324067i
\(418\) −9.99097 3.85997i −0.488674 0.188797i
\(419\) 22.8914 + 16.6316i 1.11832 + 0.812506i 0.983953 0.178426i \(-0.0571006\pi\)
0.134365 + 0.990932i \(0.457101\pi\)
\(420\) −5.73091 + 10.9059i −0.279640 + 0.532151i
\(421\) 18.1884 5.21543i 0.886447 0.254185i 0.198635 0.980073i \(-0.436349\pi\)
0.687812 + 0.725889i \(0.258571\pi\)
\(422\) −11.3109 23.1907i −0.550604 1.12891i
\(423\) 24.2252 12.8808i 1.17787 0.626285i
\(424\) 4.08271 1.48598i 0.198274 0.0721658i
\(425\) −6.42701 24.7496i −0.311756 1.20053i
\(426\) −1.88611 3.26684i −0.0913823 0.158279i
\(427\) 1.02945 2.54797i 0.0498185 0.123305i
\(428\) −20.0081 1.39910i −0.967128 0.0676282i
\(429\) 1.29003 + 0.574357i 0.0622830 + 0.0277302i
\(430\) 8.34661 + 15.5152i 0.402509 + 0.748211i
\(431\) −0.173536 0.0497607i −0.00835894 0.00239689i 0.271455 0.962451i \(-0.412495\pi\)
−0.279814 + 0.960054i \(0.590273\pi\)
\(432\) −1.94898 11.0532i −0.0937702 0.531797i
\(433\) 7.95155 7.67872i 0.382127 0.369016i −0.478643 0.878010i \(-0.658871\pi\)
0.860770 + 0.508994i \(0.169982\pi\)
\(434\) 19.6607 25.1646i 0.943744 1.20794i
\(435\) 3.77239 7.17883i 0.180872 0.344198i
\(436\) 2.41419 + 7.43011i 0.115619 + 0.355838i
\(437\) 0.883874 + 0.492440i 0.0422814 + 0.0235566i
\(438\) 4.56992 14.0648i 0.218359 0.672041i
\(439\) 13.7648 + 8.60121i 0.656959 + 0.410513i 0.817032 0.576592i \(-0.195618\pi\)
−0.160074 + 0.987105i \(0.551173\pi\)
\(440\) −1.84248 + 0.0733111i −0.0878367 + 0.00349497i
\(441\) 17.0737 + 9.07824i 0.813033 + 0.432297i
\(442\) −8.98517 + 18.4223i −0.427381 + 0.876261i
\(443\) −14.2971 + 5.20372i −0.679276 + 0.247236i −0.658537 0.752549i \(-0.728824\pi\)
−0.0207395 + 0.999785i \(0.506602\pi\)
\(444\) −15.3119 + 6.81732i −0.726673 + 0.323535i
\(445\) 30.0796 + 0.904007i 1.42591 + 0.0428540i
\(446\) 41.9039 + 2.93020i 1.98421 + 0.138749i
\(447\) −11.4240 0.798846i −0.540338 0.0377841i
\(448\) 26.4616 29.3885i 1.25019 1.38848i
\(449\) 3.96807 6.87291i 0.187265 0.324353i −0.757072 0.653331i \(-0.773371\pi\)
0.944337 + 0.328978i \(0.106704\pi\)
\(450\) −4.98522 26.7489i −0.235005 1.26096i
\(451\) 1.08747 + 6.16734i 0.0512069 + 0.290409i
\(452\) −0.301771 + 0.0424111i −0.0141941 + 0.00199485i
\(453\) 4.96179 1.42277i 0.233125 0.0668476i
\(454\) −12.8850 + 51.6791i −0.604725 + 2.42542i
\(455\) −15.1129 + 6.19164i −0.708503 + 0.290269i
\(456\) −0.863311 + 1.68533i −0.0404282 + 0.0789227i
\(457\) −18.9568 −0.886762 −0.443381 0.896333i \(-0.646221\pi\)
−0.443381 + 0.896333i \(0.646221\pi\)
\(458\) −35.3039 + 2.46869i −1.64964 + 0.115354i
\(459\) 10.9877 14.0636i 0.512863 0.656434i
\(460\) 1.20623 + 0.120854i 0.0562408 + 0.00563483i
\(461\) −13.0712 + 6.95010i −0.608788 + 0.323698i −0.745085 0.666970i \(-0.767591\pi\)
0.136297 + 0.990668i \(0.456480\pi\)
\(462\) −0.202295 5.79297i −0.00941161 0.269513i
\(463\) 4.14674 + 4.60542i 0.192715 + 0.214032i 0.831757 0.555140i \(-0.187335\pi\)
−0.639041 + 0.769172i \(0.720669\pi\)
\(464\) −12.5547 + 13.9434i −0.582838 + 0.647307i
\(465\) −0.0273158 5.61836i −0.00126674 0.260545i
\(466\) −15.5002 + 9.68561i −0.718034 + 0.448677i
\(467\) −3.67086 + 34.9259i −0.169867 + 1.61618i 0.494779 + 0.869019i \(0.335249\pi\)
−0.664646 + 0.747158i \(0.731418\pi\)
\(468\) −5.87470 + 10.1753i −0.271558 + 0.470353i
\(469\) 12.5567 + 3.60057i 0.579814 + 0.166259i
\(470\) 47.3683 12.0552i 2.18494 0.556063i
\(471\) −2.19355 4.49745i −0.101073 0.207231i
\(472\) −7.22934 + 2.07298i −0.332757 + 0.0954167i
\(473\) −3.78686 2.36629i −0.174120 0.108802i
\(474\) 2.77754 0.127577
\(475\) 9.74736 19.4933i 0.447239 0.894414i
\(476\) 45.3243 2.07744
\(477\) −13.7805 8.61100i −0.630965 0.394271i
\(478\) 4.55406 1.30585i 0.208298 0.0597284i
\(479\) 0.472168 + 0.968087i 0.0215739 + 0.0442330i 0.909309 0.416122i \(-0.136611\pi\)
−0.887735 + 0.460355i \(0.847722\pi\)
\(480\) 0.730314 11.2282i 0.0333341 0.512495i
\(481\) −21.3586 6.12449i −0.973870 0.279253i
\(482\) 3.55569 6.15864i 0.161957 0.280518i
\(483\) −0.0572369 + 0.544573i −0.00260437 + 0.0247789i
\(484\) −19.0293 + 11.8909i −0.864970 + 0.540493i
\(485\) −6.13366 8.35652i −0.278515 0.379450i
\(486\) 19.4986 21.6554i 0.884476 0.982310i
\(487\) −3.00833 3.34109i −0.136320 0.151399i 0.671119 0.741350i \(-0.265814\pi\)
−0.807439 + 0.589951i \(0.799147\pi\)
\(488\) −0.0176616 0.505761i −0.000799501 0.0228947i
\(489\) 1.59194 0.846448i 0.0719899 0.0382777i
\(490\) 25.7123 + 22.9261i 1.16156 + 1.03569i
\(491\) −16.7436 + 21.4309i −0.755630 + 0.967162i −0.999997 0.00252080i \(-0.999198\pi\)
0.244367 + 0.969683i \(0.421420\pi\)
\(492\) 7.68654 0.537495i 0.346536 0.0242322i
\(493\) −29.8349 −1.34370
\(494\) −16.0959 + 6.79130i −0.724190 + 0.305555i
\(495\) 4.45860 + 5.26139i 0.200399 + 0.236482i
\(496\) −3.14473 + 12.6128i −0.141202 + 0.566332i
\(497\) −10.6296 + 3.04799i −0.476803 + 0.136721i
\(498\) −14.7087 + 2.06718i −0.659115 + 0.0926325i
\(499\) 1.04078 + 5.90255i 0.0465916 + 0.264234i 0.999201 0.0399613i \(-0.0127235\pi\)
−0.952610 + 0.304196i \(0.901612\pi\)
\(500\) 1.44142 26.0730i 0.0644620 1.16602i
\(501\) −2.48528 + 4.30463i −0.111034 + 0.192317i
\(502\) 16.1879 17.9785i 0.722502 0.802420i
\(503\) 43.4396 + 3.03759i 1.93688 + 0.135440i 0.985171 0.171574i \(-0.0548852\pi\)
0.951705 + 0.307013i \(0.0993296\pi\)
\(504\) 6.91316 + 0.483415i 0.307937 + 0.0215330i
\(505\) 10.0520 28.0410i 0.447306 1.24781i
\(506\) −0.521059 + 0.231990i −0.0231639 + 0.0103132i
\(507\) −5.42999 + 1.97635i −0.241154 + 0.0877729i
\(508\) 19.9343 40.8714i 0.884442 1.81337i
\(509\) 28.0519 + 14.9155i 1.24338 + 0.661117i 0.955059 0.296416i \(-0.0957916\pi\)
0.288322 + 0.957534i \(0.406903\pi\)
\(510\) 11.6202 9.17002i 0.514551 0.406055i
\(511\) −36.7643 22.9729i −1.62635 1.01626i
\(512\) −9.43356 + 29.0335i −0.416908 + 1.28311i
\(513\) 14.9383 2.87022i 0.659543 0.126723i
\(514\) −16.0900 49.5199i −0.709699 2.18423i
\(515\) 34.5298 17.0496i 1.52157 0.751296i
\(516\) −3.38255 + 4.32947i −0.148909 + 0.190594i
\(517\) −8.91161 + 8.60584i −0.391932 + 0.378485i
\(518\) 15.8380 + 89.8216i 0.695881 + 3.94654i
\(519\) −1.07255 0.307548i −0.0470795 0.0134998i
\(520\) −2.07872 + 2.17362i −0.0911578 + 0.0953198i
\(521\) −27.0947 12.0633i −1.18704 0.528505i −0.284319 0.958730i \(-0.591767\pi\)
−0.902722 + 0.430225i \(0.858434\pi\)
\(522\) −31.6700 2.21458i −1.38616 0.0969296i
\(523\) 7.95954 19.7006i 0.348046 0.861445i −0.647042 0.762454i \(-0.723994\pi\)
0.995088 0.0989907i \(-0.0315614\pi\)
\(524\) −14.4031 24.9468i −0.629200 1.08981i
\(525\) 11.7736 + 0.708325i 0.513844 + 0.0309138i
\(526\) −19.3148 + 7.03001i −0.842165 + 0.306523i
\(527\) −18.2504 + 9.70390i −0.794999 + 0.422708i
\(528\) 1.03433 + 2.12069i 0.0450134 + 0.0922911i
\(529\) −22.0572 + 6.32481i −0.959010 + 0.274992i
\(530\) −20.2104 20.7258i −0.877882 0.900273i
\(531\) 22.7560 + 16.5332i 0.987527 + 0.717480i
\(532\) 29.1006 + 25.4074i 1.26167 + 1.10155i
\(533\) 8.26380 + 6.00400i 0.357945 + 0.260062i
\(534\) 6.52597 + 16.1523i 0.282406 + 0.698980i
\(535\) 6.65520 + 18.0121i 0.287730 + 0.778729i
\(536\) 2.38214 0.334788i 0.102893 0.0144606i
\(537\) −10.5567 1.48365i −0.455555 0.0640240i
\(538\) −0.138555 3.96771i −0.00597355 0.171060i
\(539\) −8.54056 1.81535i −0.367868 0.0781927i
\(540\) 15.0599 10.2649i 0.648076 0.441732i
\(541\) −10.8266 + 6.76523i −0.465473 + 0.290860i −0.742310 0.670057i \(-0.766270\pi\)
0.276836 + 0.960917i \(0.410714\pi\)
\(542\) −9.64522 38.6849i −0.414298 1.66166i
\(543\) −2.64122 4.57473i −0.113346 0.196320i
\(544\) −37.8163 + 16.8369i −1.62136 + 0.721877i
\(545\) 5.53399 5.03176i 0.237050 0.215537i
\(546\) −6.80104 6.56769i −0.291058 0.281071i
\(547\) −16.9871 34.8286i −0.726314 1.48917i −0.866573 0.499050i \(-0.833682\pi\)
0.140259 0.990115i \(-0.455207\pi\)
\(548\) −0.573730 + 16.4295i −0.0245085 + 0.701832i
\(549\) −1.44992 + 1.21663i −0.0618813 + 0.0519245i
\(550\) 5.49294 + 10.9897i 0.234220 + 0.468602i
\(551\) −19.1556 16.7245i −0.816055 0.712488i
\(552\) 0.0311605 + 0.0959022i 0.00132628 + 0.00408187i
\(553\) 1.96976 7.90028i 0.0837628 0.335954i
\(554\) 17.9352 5.14283i 0.761993 0.218498i
\(555\) 11.9771 + 10.6793i 0.508400 + 0.453309i
\(556\) −18.5423 + 38.0173i −0.786369 + 1.61229i
\(557\) 5.46987 1.99087i 0.231766 0.0843559i −0.223526 0.974698i \(-0.571757\pi\)
0.455292 + 0.890342i \(0.349535\pi\)
\(558\) −20.0932 + 8.94608i −0.850614 + 0.378718i
\(559\) −7.12425 + 1.51431i −0.301324 + 0.0640483i
\(560\) −25.9942 8.30651i −1.09845 0.351014i
\(561\) −1.40547 + 3.47866i −0.0593389 + 0.146869i
\(562\) −18.8386 + 4.00426i −0.794656 + 0.168909i
\(563\) 2.72775 + 3.02947i 0.114961 + 0.127677i 0.797878 0.602819i \(-0.205956\pi\)
−0.682917 + 0.730496i \(0.739289\pi\)
\(564\) 9.38443 + 12.0115i 0.395156 + 0.505776i
\(565\) 0.155805 + 0.246664i 0.00655477 + 0.0103772i
\(566\) −5.71663 3.03959i −0.240288 0.127763i
\(567\) −12.0335 17.8404i −0.505359 0.749226i
\(568\) −1.55995 + 1.30895i −0.0654540 + 0.0549224i
\(569\) −18.1511 13.1875i −0.760933 0.552850i 0.138263 0.990396i \(-0.455848\pi\)
−0.899196 + 0.437545i \(0.855848\pi\)
\(570\) 12.6012 + 0.626281i 0.527806 + 0.0262320i
\(571\) −7.80460 + 5.67037i −0.326612 + 0.237298i −0.738992 0.673714i \(-0.764698\pi\)
0.412380 + 0.911012i \(0.364698\pi\)
\(572\) 1.28345 5.14765i 0.0536639 0.215234i
\(573\) −0.262105 + 7.50569i −0.0109496 + 0.313555i
\(574\) 7.28098 41.2925i 0.303902 1.72352i
\(575\) −0.369364 1.10027i −0.0154035 0.0458842i
\(576\) −25.5948 + 9.31576i −1.06645 + 0.388157i
\(577\) −0.818219 0.173918i −0.0340629 0.00724029i 0.190849 0.981619i \(-0.438876\pi\)
−0.224912 + 0.974379i \(0.572209\pi\)
\(578\) −17.4126 7.75258i −0.724268 0.322465i
\(579\) −4.41070 0.308426i −0.183303 0.0128178i
\(580\) −29.0219 9.27404i −1.20507 0.385084i
\(581\) −4.55131 + 43.3028i −0.188820 + 1.79650i
\(582\) 3.00041 5.19686i 0.124371 0.215417i
\(583\) 7.05302 + 2.02242i 0.292106 + 0.0837601i
\(584\) −7.90567 1.11107i −0.327139 0.0459764i
\(585\) 11.1927 + 1.12141i 0.462760 + 0.0463645i
\(586\) −1.90317 + 54.4997i −0.0786193 + 2.25136i
\(587\) 11.1761 + 27.6618i 0.461287 + 1.14173i 0.961250 + 0.275679i \(0.0889026\pi\)
−0.499963 + 0.866047i \(0.666653\pi\)
\(588\) −3.31977 + 10.2172i −0.136905 + 0.421350i
\(589\) −17.1574 4.00017i −0.706958 0.164824i
\(590\) 32.3961 + 38.2292i 1.33373 + 1.57387i
\(591\) −2.25679 5.58574i −0.0928318 0.229767i
\(592\) −20.7607 30.7790i −0.853260 1.26501i
\(593\) −3.18362 + 18.0552i −0.130736 + 0.741439i 0.846999 + 0.531594i \(0.178407\pi\)
−0.977735 + 0.209845i \(0.932704\pi\)
\(594\) −3.75906 + 7.70721i −0.154236 + 0.316231i
\(595\) −17.8420 39.5550i −0.731450 1.62160i
\(596\) 4.49728 + 42.7888i 0.184216 + 1.75270i
\(597\) 4.38227 + 1.95111i 0.179354 + 0.0798536i
\(598\) −0.348504 + 0.862576i −0.0142514 + 0.0352734i
\(599\) 11.7787 + 9.88346i 0.481263 + 0.403827i 0.850883 0.525356i \(-0.176068\pi\)
−0.369620 + 0.929183i \(0.620512\pi\)
\(600\) 2.03377 0.762708i 0.0830283 0.0311374i
\(601\) 23.7645 41.1613i 0.969375 1.67901i 0.272004 0.962296i \(-0.412314\pi\)
0.697371 0.716710i \(-0.254353\pi\)
\(602\) 18.4066 + 23.5594i 0.750198 + 0.960210i
\(603\) −6.47187 6.24981i −0.263555 0.254512i
\(604\) −8.50112 17.4299i −0.345906 0.709211i
\(605\) 17.8682 + 11.9263i 0.726446 + 0.484872i
\(606\) 17.2023 1.20290i 0.698795 0.0488645i
\(607\) −27.1268 −1.10104 −0.550522 0.834820i \(-0.685571\pi\)
−0.550522 + 0.834820i \(0.685571\pi\)
\(608\) −33.7183 10.3885i −1.36746 0.421308i
\(609\) 4.25269 13.0884i 0.172328 0.530371i
\(610\) −3.02342 + 1.49286i −0.122415 + 0.0604441i
\(611\) −0.705207 + 20.1945i −0.0285296 + 0.816982i
\(612\) −27.5631 14.6556i −1.11417 0.592416i
\(613\) 11.7616 + 1.65299i 0.475047 + 0.0667635i 0.372634 0.927978i \(-0.378455\pi\)
0.102413 + 0.994742i \(0.467344\pi\)
\(614\) 38.4777 + 49.2492i 1.55283 + 1.98754i
\(615\) −3.49490 6.49655i −0.140928 0.261966i
\(616\) −3.06076 + 0.650585i −0.123322 + 0.0262128i
\(617\) −9.12604 36.6025i −0.367400 1.47356i −0.815070 0.579363i \(-0.803301\pi\)
0.447669 0.894199i \(-0.352254\pi\)
\(618\) 17.0775 + 14.3297i 0.686959 + 0.576427i
\(619\) −1.62287 + 15.4405i −0.0652285 + 0.620608i 0.912259 + 0.409614i \(0.134337\pi\)
−0.977487 + 0.210994i \(0.932330\pi\)
\(620\) −20.7695 + 3.76643i −0.834122 + 0.151263i
\(621\) 0.452975 0.671563i 0.0181773 0.0269489i
\(622\) 27.8934 + 26.9363i 1.11842 + 1.08005i
\(623\) 50.5709 7.10728i 2.02608 0.284747i
\(624\) 3.61641 + 1.31627i 0.144772 + 0.0526928i
\(625\) −23.3216 + 9.00572i −0.932864 + 0.360229i
\(626\) 58.5549 2.34033
\(627\) −2.85241 + 1.44562i −0.113914 + 0.0577324i
\(628\) −15.2090 + 11.0500i −0.606905 + 0.440942i
\(629\) 14.2818 57.2814i 0.569455 2.28396i
\(630\) −16.0033 43.3124i −0.637587 1.72561i
\(631\) −28.4766 + 27.4995i −1.13364 + 1.09474i −0.139106 + 0.990277i \(0.544423\pi\)
−0.994529 + 0.104461i \(0.966688\pi\)
\(632\) −0.260369 1.47663i −0.0103569 0.0587371i
\(633\) −7.40512 2.12338i −0.294327 0.0843969i
\(634\) −37.0947 41.1978i −1.47322 1.63617i
\(635\) −43.5161 1.30782i −1.72688 0.0518994i
\(636\) 3.38183 8.37033i 0.134098 0.331905i
\(637\) −12.0775 + 7.54687i −0.478529 + 0.299018i
\(638\) 14.0217 2.98041i 0.555125 0.117995i
\(639\) 7.44976 + 1.58349i 0.294708 + 0.0626421i
\(640\) −12.2504 + 1.34782i −0.484239 + 0.0532771i
\(641\) 10.1832 + 1.43115i 0.402210 + 0.0565270i 0.337378 0.941369i \(-0.390460\pi\)
0.0648322 + 0.997896i \(0.479349\pi\)
\(642\) −7.99626 + 7.72190i −0.315587 + 0.304759i
\(643\) −4.88344 1.77743i −0.192584 0.0700948i 0.243928 0.969793i \(-0.421564\pi\)
−0.436512 + 0.899699i \(0.643786\pi\)
\(644\) 2.05220 0.143504i 0.0808680 0.00565484i
\(645\) 5.10993 + 1.24769i 0.201203 + 0.0491278i
\(646\) −19.5254 42.1097i −0.768216 1.65678i
\(647\) −13.0546 + 9.48475i −0.513231 + 0.372884i −0.814048 0.580798i \(-0.802741\pi\)
0.300817 + 0.953682i \(0.402741\pi\)
\(648\) −3.36071 2.10001i −0.132021 0.0824960i
\(649\) −11.9348 4.34390i −0.468480 0.170513i
\(650\) 18.8967 + 6.67047i 0.741189 + 0.261637i
\(651\) −1.65563 9.38956i −0.0648894 0.368006i
\(652\) −4.17032 5.33777i −0.163323 0.209043i
\(653\) −1.45812 13.8731i −0.0570606 0.542895i −0.985290 0.170888i \(-0.945336\pi\)
0.928230 0.372007i \(-0.121330\pi\)
\(654\) 3.95555 + 1.76112i 0.154674 + 0.0688654i
\(655\) −16.1016 + 22.3901i −0.629141 + 0.874852i
\(656\) 4.12901 + 16.5605i 0.161211 + 0.646581i
\(657\) 14.9292 + 25.8582i 0.582445 + 1.00882i
\(658\) 75.7749 33.7372i 2.95401 1.31521i
\(659\) 0.355756 + 10.1875i 0.0138583 + 0.396850i 0.986424 + 0.164220i \(0.0525107\pi\)
−0.972565 + 0.232629i \(0.925267\pi\)
\(660\) −2.44849 + 2.94698i −0.0953075 + 0.114711i
\(661\) −20.4828 + 2.87868i −0.796690 + 0.111968i −0.525762 0.850632i \(-0.676220\pi\)
−0.270929 + 0.962599i \(0.587331\pi\)
\(662\) 7.89969 10.1111i 0.307030 0.392981i
\(663\) 2.29243 + 5.67397i 0.0890307 + 0.220359i
\(664\) 2.47779 + 7.62586i 0.0961569 + 0.295941i
\(665\) 10.7178 35.3980i 0.415619 1.37268i
\(666\) 19.4122 59.7445i 0.752206 2.31505i
\(667\) −1.35087 + 0.0944619i −0.0523058 + 0.00365758i
\(668\) 17.5480 + 6.38695i 0.678953 + 0.247119i
\(669\) 9.02161 8.71207i 0.348796 0.336828i
\(670\) −8.55952 13.5510i −0.330683 0.523522i
\(671\) 0.477906 0.708525i 0.0184493 0.0273523i
\(672\) −1.99591 18.9898i −0.0769939 0.732548i
\(673\) 14.9449 16.5980i 0.576083 0.639805i −0.382724 0.923863i \(-0.625014\pi\)
0.958807 + 0.284057i \(0.0916806\pi\)
\(674\) 5.09659 + 4.27655i 0.196313 + 0.164727i
\(675\) −14.8867 9.10216i −0.572988 0.350342i
\(676\) 10.8548 + 18.8010i 0.417491 + 0.723115i
\(677\) 38.0090 + 8.07906i 1.46080 + 0.310504i 0.868692 0.495352i \(-0.164961\pi\)
0.592112 + 0.805855i \(0.298294\pi\)
\(678\) −0.0944438 + 0.140019i −0.00362709 + 0.00537739i
\(679\) −12.6539 12.2197i −0.485611 0.468949i
\(680\) −5.96436 5.31806i −0.228723 0.203938i
\(681\) 8.89219 + 13.1832i 0.340750 + 0.505182i
\(682\) 7.60786 6.38375i 0.291320 0.244447i
\(683\) −10.9061 7.92377i −0.417311 0.303195i 0.359244 0.933244i \(-0.383035\pi\)
−0.776555 + 0.630049i \(0.783035\pi\)
\(684\) −9.48151 24.8606i −0.362535 0.950571i
\(685\) 14.5640 5.96678i 0.556463 0.227979i
\(686\) 2.67270 + 1.67009i 0.102044 + 0.0637643i
\(687\) −6.50520 + 8.32627i −0.248189 + 0.317667i
\(688\) −10.7453 5.71337i −0.409660 0.217820i
\(689\) 10.5668 5.61847i 0.402563 0.214047i
\(690\) 0.497107 0.451993i 0.0189245 0.0172071i
\(691\) 6.86524 + 7.62462i 0.261166 + 0.290054i 0.859439 0.511238i \(-0.170813\pi\)
−0.598273 + 0.801292i \(0.704146\pi\)
\(692\) −0.438173 + 4.16894i −0.0166568 + 0.158479i
\(693\) 8.96521 + 7.52271i 0.340560 + 0.285764i
\(694\) −12.8109 51.3818i −0.486296 1.95043i
\(695\) 40.4774 + 1.21650i 1.53539 + 0.0461444i
\(696\) −0.264909 2.52044i −0.0100414 0.0955371i
\(697\) −15.1761 + 22.4995i −0.574837 + 0.852231i
\(698\) −67.3566 + 35.8141i −2.54948 + 1.35558i
\(699\) −0.947598 + 5.37410i −0.0358415 + 0.203267i
\(700\) −5.06029 44.0233i −0.191261 1.66392i
\(701\) −26.8412 + 22.5224i −1.01378 + 0.850660i −0.988833 0.149029i \(-0.952385\pi\)
−0.0249441 + 0.999689i \(0.507941\pi\)
\(702\) 4.32210 + 13.3021i 0.163127 + 0.502054i
\(703\) 41.2798 28.7717i 1.55690 1.08514i
\(704\) 9.94979 7.22894i 0.374997 0.272451i
\(705\) 6.78840 12.9182i 0.255666 0.486529i
\(706\) 9.35665 + 13.8718i 0.352142 + 0.522072i
\(707\) 8.77797 49.7823i 0.330129 1.87226i
\(708\) −6.85036 + 14.0453i −0.257452 + 0.527856i
\(709\) 1.42734 + 40.8736i 0.0536048 + 1.53504i 0.666877 + 0.745168i \(0.267631\pi\)
−0.613272 + 0.789872i \(0.710147\pi\)
\(710\) 12.2237 + 5.88853i 0.458749 + 0.220992i
\(711\) −3.75242 + 4.16749i −0.140727 + 0.156293i
\(712\) 7.97534 4.98355i 0.298888 0.186766i
\(713\) −0.795618 + 0.497157i −0.0297961 + 0.0186187i
\(714\) 16.8085 18.6678i 0.629043 0.698623i
\(715\) −4.99765 + 0.906296i −0.186902 + 0.0338935i
\(716\) 1.39776 + 40.0265i 0.0522366 + 1.49586i
\(717\) 0.620063 1.27132i 0.0231567 0.0474782i
\(718\) −4.19114 + 23.7692i −0.156412 + 0.887057i
\(719\) 10.8607 + 16.1016i 0.405034 + 0.600488i 0.975276 0.220989i \(-0.0709284\pi\)
−0.570242 + 0.821477i \(0.693151\pi\)
\(720\) 13.1220 + 13.4566i 0.489026 + 0.501499i
\(721\) 52.8697 38.4121i 1.96897 1.43054i
\(722\) 11.0690 37.9819i 0.411947 1.41354i
\(723\) −0.656105 2.01928i −0.0244008 0.0750979i
\(724\) −15.2029 + 12.7567i −0.565010 + 0.474100i
\(725\) 3.33095 + 28.9785i 0.123709 + 1.07623i
\(726\) −2.15954 + 12.2474i −0.0801480 + 0.454542i
\(727\) 30.4323 16.1811i 1.12867 0.600125i 0.203272 0.979122i \(-0.434842\pi\)
0.925398 + 0.378998i \(0.123731\pi\)
\(728\) −2.85406 + 4.23131i −0.105778 + 0.156823i
\(729\) 0.868948 + 8.26749i 0.0321833 + 0.306203i
\(730\) 14.9103 + 51.0600i 0.551854 + 1.88982i
\(731\) −4.68152 18.7766i −0.173152 0.694476i
\(732\) −0.805524 0.675915i −0.0297730 0.0249825i
\(733\) −4.28332 + 40.7530i −0.158208 + 1.50525i 0.570997 + 0.820952i \(0.306557\pi\)
−0.729205 + 0.684295i \(0.760110\pi\)
\(734\) −30.5030 33.8770i −1.12589 1.25042i
\(735\) 10.2235 1.12481i 0.377099 0.0414893i
\(736\) −1.65894 + 0.882076i −0.0611495 + 0.0325138i
\(737\) 3.58690 + 1.90719i 0.132125 + 0.0702523i
\(738\) −17.7797 + 22.7569i −0.654479 + 0.837695i
\(739\) −5.84132 3.65006i −0.214876 0.134270i 0.418211 0.908350i \(-0.362657\pi\)
−0.633088 + 0.774080i \(0.718213\pi\)
\(740\) 31.6983 51.2810i 1.16525 1.88513i
\(741\) −1.70879 + 4.92805i −0.0627738 + 0.181036i
\(742\) −39.7433 28.8752i −1.45902 1.06004i
\(743\) 1.45672 1.22233i 0.0534417 0.0448429i −0.615676 0.788000i \(-0.711117\pi\)
0.669117 + 0.743157i \(0.266672\pi\)
\(744\) −0.981830 1.45562i −0.0359956 0.0533657i
\(745\) 35.5719 20.7687i 1.30325 0.760905i
\(746\) −43.0085 41.5328i −1.57465 1.52063i
\(747\) 16.7697 24.8621i 0.613571 0.909657i
\(748\) 13.7875 + 2.93063i 0.504123 + 0.107155i
\(749\) 16.2930 + 28.2203i 0.595334 + 1.03115i
\(750\) −10.2041 10.2628i −0.372603 0.374746i
\(751\) −12.9868 10.8973i −0.473896 0.397646i 0.374317 0.927301i \(-0.377877\pi\)
−0.848214 + 0.529654i \(0.822322\pi\)
\(752\) −22.5921 + 25.0911i −0.823850 + 0.914978i
\(753\) −0.755008 7.18342i −0.0275140 0.261778i
\(754\) 13.0748 19.3841i 0.476154 0.705928i
\(755\) −11.8648 + 14.2803i −0.431803 + 0.519714i
\(756\) 22.2481 21.4848i 0.809157 0.781394i
\(757\) 50.2040 + 18.2727i 1.82469 + 0.664134i 0.994257 + 0.107022i \(0.0341316\pi\)
0.830437 + 0.557112i \(0.188091\pi\)
\(758\) 18.2045 1.27299i 0.661219 0.0462369i
\(759\) −0.0526230 + 0.161957i −0.00191009 + 0.00587866i
\(760\) −0.848298 6.75790i −0.0307710 0.245135i
\(761\) −10.4141 32.0515i −0.377513 1.16186i −0.941768 0.336264i \(-0.890837\pi\)
0.564255 0.825600i \(-0.309163\pi\)
\(762\) −9.44109 23.3675i −0.342015 0.846516i
\(763\) 7.81443 10.0020i 0.282901 0.362097i
\(764\) 27.9412 3.92688i 1.01088 0.142070i
\(765\) −1.93983 + 29.8238i −0.0701346 + 1.07828i
\(766\) −0.115392 3.30439i −0.00416928 0.119393i
\(767\) −18.9249 + 8.42590i −0.683338 + 0.304242i
\(768\) 2.91166 + 5.04313i 0.105065 + 0.181978i
\(769\) −1.78760 7.16968i −0.0644626 0.258545i 0.929414 0.369038i \(-0.120313\pi\)
−0.993877 + 0.110493i \(0.964757\pi\)
\(770\) 12.3367 + 16.8076i 0.444585 + 0.605703i