Properties

Label 637.2.bl.b.235.10
Level $637$
Weight $2$
Character 637.235
Analytic conductor $5.086$
Analytic rank $0$
Dimension $348$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 637 = 7^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 637.bl (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.08647060876\)
Analytic rank: \(0\)
Dimension: \(348\)
Relative dimension: \(29\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 235.10
Character \(\chi\) \(=\) 637.235
Dual form 637.2.bl.b.534.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.985016 - 0.148467i) q^{2} +(1.55762 - 1.06197i) q^{3} +(-0.962931 - 0.297025i) q^{4} +(-0.0612958 - 0.817935i) q^{5} +(-1.69195 + 0.814798i) q^{6} +(-1.98261 + 1.75193i) q^{7} +(2.69939 + 1.29996i) q^{8} +(0.202377 - 0.515649i) q^{9} +O(q^{10})\) \(q+(-0.985016 - 0.148467i) q^{2} +(1.55762 - 1.06197i) q^{3} +(-0.962931 - 0.297025i) q^{4} +(-0.0612958 - 0.817935i) q^{5} +(-1.69195 + 0.814798i) q^{6} +(-1.98261 + 1.75193i) q^{7} +(2.69939 + 1.29996i) q^{8} +(0.202377 - 0.515649i) q^{9} +(-0.0610593 + 0.814780i) q^{10} +(2.19864 + 5.60206i) q^{11} +(-1.81531 + 0.559948i) q^{12} +(0.623490 - 0.781831i) q^{13} +(2.21301 - 1.43133i) q^{14} +(-0.964094 - 1.20894i) q^{15} +(-0.800742 - 0.545936i) q^{16} +(-1.16502 - 1.08098i) q^{17} +(-0.275902 + 0.477876i) q^{18} +(3.07896 + 5.33291i) q^{19} +(-0.183923 + 0.805821i) q^{20} +(-1.22766 + 4.83430i) q^{21} +(-1.33398 - 5.84454i) q^{22} +(-3.21205 + 2.98035i) q^{23} +(5.58513 - 0.841823i) q^{24} +(4.27889 - 0.644939i) q^{25} +(-0.730224 + 0.677549i) q^{26} +(1.02611 + 4.49567i) q^{27} +(2.42948 - 1.09810i) q^{28} +(0.715759 - 3.13595i) q^{29} +(0.770161 + 1.33396i) q^{30} +(4.54590 - 7.87372i) q^{31} +(-3.68490 - 3.41909i) q^{32} +(9.37384 + 6.39097i) q^{33} +(0.987070 + 1.23775i) q^{34} +(1.55449 + 1.51426i) q^{35} +(-0.348036 + 0.436423i) q^{36} +(-0.0339874 + 0.0104837i) q^{37} +(-2.24106 - 5.71013i) q^{38} +(0.140880 - 1.87992i) q^{39} +(0.897820 - 2.28761i) q^{40} +(8.05908 + 3.88105i) q^{41} +(1.92700 - 4.57960i) q^{42} +(-9.72337 + 4.68253i) q^{43} +(-0.453193 - 6.04744i) q^{44} +(-0.434172 - 0.133924i) q^{45} +(3.60640 - 2.45881i) q^{46} +(-4.38718 - 0.661262i) q^{47} -1.82701 q^{48} +(0.861493 - 6.94679i) q^{49} -4.31053 q^{50} +(-2.96261 - 0.446541i) q^{51} +(-0.832601 + 0.567658i) q^{52} +(8.48568 + 2.61748i) q^{53} +(-0.343273 - 4.58065i) q^{54} +(4.44735 - 2.14173i) q^{55} +(-7.62928 + 2.15183i) q^{56} +(10.4592 + 5.03689i) q^{57} +(-1.17062 + 2.98269i) q^{58} +(0.356798 - 4.76113i) q^{59} +(0.569272 + 1.45048i) q^{60} +(-8.43583 + 2.60211i) q^{61} +(-5.64677 + 7.08083i) q^{62} +(0.502145 + 1.37688i) q^{63} +(4.33056 + 5.43035i) q^{64} +(-0.677705 - 0.462051i) q^{65} +(-8.28453 - 7.68692i) q^{66} +(-5.69146 + 9.85789i) q^{67} +(0.800753 + 1.38694i) q^{68} +(-1.83812 + 8.05332i) q^{69} +(-1.30638 - 1.72236i) q^{70} +(-0.207022 - 0.907025i) q^{71} +(1.21662 - 1.12886i) q^{72} +(9.52154 - 1.43514i) q^{73} +(0.0350347 - 0.00528063i) q^{74} +(5.97997 - 5.54861i) q^{75} +(-1.38082 - 6.04975i) q^{76} +(-14.1735 - 7.25483i) q^{77} +(-0.417876 + 1.83083i) q^{78} +(2.86210 + 4.95730i) q^{79} +(-0.397458 + 0.688418i) q^{80} +(7.59073 + 7.04317i) q^{81} +(-7.36212 - 5.01941i) q^{82} +(7.32215 + 9.18168i) q^{83} +(2.61806 - 4.29045i) q^{84} +(-0.812758 + 1.01917i) q^{85} +(10.2729 - 3.16876i) q^{86} +(-2.21539 - 5.64471i) q^{87} +(-1.34744 + 17.9803i) q^{88} +(1.44145 - 3.67276i) q^{89} +(0.407783 + 0.196378i) q^{90} +(0.133575 + 2.64238i) q^{91} +(3.97822 - 1.91581i) q^{92} +(-1.28086 - 17.0918i) q^{93} +(4.22327 + 1.30271i) q^{94} +(4.17325 - 2.84527i) q^{95} +(-9.37062 - 1.41239i) q^{96} -8.45417 q^{97} +(-1.87996 + 6.71479i) q^{98} +3.33365 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 348q + 3q^{2} + 31q^{4} + q^{5} - 4q^{6} + 27q^{7} - 12q^{8} + 13q^{9} + O(q^{10}) \) \( 348q + 3q^{2} + 31q^{4} + q^{5} - 4q^{6} + 27q^{7} - 12q^{8} + 13q^{9} - 5q^{10} + 2q^{11} - 40q^{12} - 58q^{13} - 45q^{14} - 14q^{15} + 27q^{16} - 12q^{17} - 59q^{18} - 24q^{19} - 99q^{20} - 2q^{21} - 10q^{22} - 14q^{23} + 28q^{25} + 3q^{26} - 9q^{27} - 37q^{28} - 26q^{29} - 83q^{30} - 49q^{31} + 33q^{32} + 2q^{33} - 130q^{34} - 38q^{35} - 74q^{36} - 4q^{37} + 92q^{38} + 24q^{40} + 20q^{41} - 52q^{42} + 2q^{43} + 226q^{44} - 23q^{45} + 71q^{46} + 24q^{47} + 86q^{48} + 25q^{49} + 114q^{50} - 54q^{51} + 31q^{52} + 36q^{53} + 75q^{54} + 38q^{55} + 126q^{56} + 27q^{57} - 33q^{58} + q^{59} - 179q^{60} - 15q^{61} + 158q^{62} - 5q^{63} - 24q^{64} + q^{65} - 150q^{66} - 151q^{67} + 140q^{68} - 98q^{69} - 126q^{70} - 31q^{71} - 149q^{72} - 9q^{73} + 39q^{74} + 85q^{75} - 81q^{76} + 46q^{77} - 25q^{78} - 69q^{79} - 64q^{80} + 71q^{81} - 52q^{82} - q^{83} - 47q^{84} + 62q^{85} + 97q^{86} + 150q^{87} - 12q^{88} + 23q^{89} + 107q^{90} - q^{91} - 43q^{92} + 316q^{93} - 86q^{94} - 29q^{95} + 177q^{96} + 114q^{97} - 336q^{98} + 102q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{17}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.985016 0.148467i −0.696512 0.104982i −0.208763 0.977966i \(-0.566944\pi\)
−0.487749 + 0.872984i \(0.662182\pi\)
\(3\) 1.55762 1.06197i 0.899291 0.613126i −0.0229525 0.999737i \(-0.507307\pi\)
0.922243 + 0.386611i \(0.126354\pi\)
\(4\) −0.962931 0.297025i −0.481465 0.148512i
\(5\) −0.0612958 0.817935i −0.0274123 0.365792i −0.993994 0.109433i \(-0.965096\pi\)
0.966582 0.256358i \(-0.0825227\pi\)
\(6\) −1.69195 + 0.814798i −0.690734 + 0.332640i
\(7\) −1.98261 + 1.75193i −0.749357 + 0.662167i
\(8\) 2.69939 + 1.29996i 0.954379 + 0.459605i
\(9\) 0.202377 0.515649i 0.0674591 0.171883i
\(10\) −0.0610593 + 0.814780i −0.0193086 + 0.257656i
\(11\) 2.19864 + 5.60206i 0.662916 + 1.68908i 0.722962 + 0.690888i \(0.242780\pi\)
−0.0600456 + 0.998196i \(0.519125\pi\)
\(12\) −1.81531 + 0.559948i −0.524034 + 0.161643i
\(13\) 0.623490 0.781831i 0.172925 0.216841i
\(14\) 2.21301 1.43133i 0.591451 0.382538i
\(15\) −0.964094 1.20894i −0.248928 0.312146i
\(16\) −0.800742 0.545936i −0.200185 0.136484i
\(17\) −1.16502 1.08098i −0.282558 0.262175i 0.526142 0.850397i \(-0.323638\pi\)
−0.808700 + 0.588221i \(0.799828\pi\)
\(18\) −0.275902 + 0.477876i −0.0650307 + 0.112637i
\(19\) 3.07896 + 5.33291i 0.706361 + 1.22345i 0.966198 + 0.257801i \(0.0829980\pi\)
−0.259837 + 0.965653i \(0.583669\pi\)
\(20\) −0.183923 + 0.805821i −0.0411265 + 0.180187i
\(21\) −1.22766 + 4.83430i −0.267898 + 1.05493i
\(22\) −1.33398 5.84454i −0.284405 1.24606i
\(23\) −3.21205 + 2.98035i −0.669758 + 0.621445i −0.939930 0.341367i \(-0.889110\pi\)
0.270172 + 0.962812i \(0.412920\pi\)
\(24\) 5.58513 0.841823i 1.14006 0.171836i
\(25\) 4.27889 0.644939i 0.855779 0.128988i
\(26\) −0.730224 + 0.677549i −0.143209 + 0.132878i
\(27\) 1.02611 + 4.49567i 0.197475 + 0.865192i
\(28\) 2.42948 1.09810i 0.459129 0.207522i
\(29\) 0.715759 3.13595i 0.132913 0.582330i −0.863977 0.503531i \(-0.832034\pi\)
0.996890 0.0787998i \(-0.0251088\pi\)
\(30\) 0.770161 + 1.33396i 0.140612 + 0.243546i
\(31\) 4.54590 7.87372i 0.816467 1.41416i −0.0918024 0.995777i \(-0.529263\pi\)
0.908270 0.418385i \(-0.137404\pi\)
\(32\) −3.68490 3.41909i −0.651405 0.604415i
\(33\) 9.37384 + 6.39097i 1.63178 + 1.11253i
\(34\) 0.987070 + 1.23775i 0.169281 + 0.212272i
\(35\) 1.55449 + 1.51426i 0.262757 + 0.255957i
\(36\) −0.348036 + 0.436423i −0.0580060 + 0.0727372i
\(37\) −0.0339874 + 0.0104837i −0.00558750 + 0.00172352i −0.297548 0.954707i \(-0.596169\pi\)
0.291960 + 0.956430i \(0.405693\pi\)
\(38\) −2.24106 5.71013i −0.363548 0.926305i
\(39\) 0.140880 1.87992i 0.0225589 0.301028i
\(40\) 0.897820 2.28761i 0.141958 0.361703i
\(41\) 8.05908 + 3.88105i 1.25862 + 0.606118i 0.939809 0.341701i \(-0.111003\pi\)
0.318808 + 0.947819i \(0.396717\pi\)
\(42\) 1.92700 4.57960i 0.297343 0.706647i
\(43\) −9.72337 + 4.68253i −1.48280 + 0.714079i −0.987932 0.154890i \(-0.950498\pi\)
−0.494868 + 0.868968i \(0.664783\pi\)
\(44\) −0.453193 6.04744i −0.0683215 0.911686i
\(45\) −0.434172 0.133924i −0.0647226 0.0199643i
\(46\) 3.60640 2.45881i 0.531735 0.362531i
\(47\) −4.38718 0.661262i −0.639937 0.0964549i −0.178945 0.983859i \(-0.557268\pi\)
−0.460992 + 0.887404i \(0.652506\pi\)
\(48\) −1.82701 −0.263707
\(49\) 0.861493 6.94679i 0.123070 0.992398i
\(50\) −4.31053 −0.609601
\(51\) −2.96261 0.446541i −0.414848 0.0625283i
\(52\) −0.832601 + 0.567658i −0.115461 + 0.0787199i
\(53\) 8.48568 + 2.61748i 1.16560 + 0.359539i 0.816387 0.577505i \(-0.195974\pi\)
0.349210 + 0.937044i \(0.386450\pi\)
\(54\) −0.343273 4.58065i −0.0467135 0.623348i
\(55\) 4.44735 2.14173i 0.599681 0.288791i
\(56\) −7.62928 + 2.15183i −1.01950 + 0.287550i
\(57\) 10.4592 + 5.03689i 1.38536 + 0.667152i
\(58\) −1.17062 + 2.98269i −0.153710 + 0.391647i
\(59\) 0.356798 4.76113i 0.0464511 0.619847i −0.924595 0.380953i \(-0.875596\pi\)
0.971046 0.238894i \(-0.0767849\pi\)
\(60\) 0.569272 + 1.45048i 0.0734927 + 0.187256i
\(61\) −8.43583 + 2.60211i −1.08010 + 0.333166i −0.783217 0.621749i \(-0.786423\pi\)
−0.296881 + 0.954915i \(0.595946\pi\)
\(62\) −5.64677 + 7.08083i −0.717141 + 0.899266i
\(63\) 0.502145 + 1.37688i 0.0632643 + 0.173471i
\(64\) 4.33056 + 5.43035i 0.541320 + 0.678794i
\(65\) −0.677705 0.462051i −0.0840589 0.0573104i
\(66\) −8.28453 7.68692i −1.01976 0.946195i
\(67\) −5.69146 + 9.85789i −0.695322 + 1.20433i 0.274750 + 0.961516i \(0.411405\pi\)
−0.970072 + 0.242817i \(0.921928\pi\)
\(68\) 0.800753 + 1.38694i 0.0971055 + 0.168192i
\(69\) −1.83812 + 8.05332i −0.221283 + 0.969506i
\(70\) −1.30638 1.72236i −0.156142 0.205862i
\(71\) −0.207022 0.907025i −0.0245691 0.107644i 0.961157 0.276004i \(-0.0890102\pi\)
−0.985726 + 0.168360i \(0.946153\pi\)
\(72\) 1.21662 1.12886i 0.143380 0.133037i
\(73\) 9.52154 1.43514i 1.11441 0.167971i 0.434080 0.900874i \(-0.357074\pi\)
0.680332 + 0.732904i \(0.261835\pi\)
\(74\) 0.0350347 0.00528063i 0.00407270 0.000613860i
\(75\) 5.97997 5.54861i 0.690508 0.640698i
\(76\) −1.38082 6.04975i −0.158390 0.693954i
\(77\) −14.1735 7.25483i −1.61522 0.826765i
\(78\) −0.417876 + 1.83083i −0.0473151 + 0.207301i
\(79\) 2.86210 + 4.95730i 0.322011 + 0.557740i 0.980903 0.194498i \(-0.0623078\pi\)
−0.658892 + 0.752238i \(0.728974\pi\)
\(80\) −0.397458 + 0.688418i −0.0444372 + 0.0769675i
\(81\) 7.59073 + 7.04317i 0.843415 + 0.782574i
\(82\) −7.36212 5.01941i −0.813010 0.554301i
\(83\) 7.32215 + 9.18168i 0.803710 + 1.00782i 0.999630 + 0.0272009i \(0.00865937\pi\)
−0.195920 + 0.980620i \(0.562769\pi\)
\(84\) 2.61806 4.29045i 0.285654 0.468126i
\(85\) −0.812758 + 1.01917i −0.0881560 + 0.110544i
\(86\) 10.2729 3.16876i 1.10775 0.341697i
\(87\) −2.21539 5.64471i −0.237514 0.605177i
\(88\) −1.34744 + 17.9803i −0.143637 + 1.91670i
\(89\) 1.44145 3.67276i 0.152794 0.389312i −0.833897 0.551920i \(-0.813895\pi\)
0.986691 + 0.162608i \(0.0519906\pi\)
\(90\) 0.407783 + 0.196378i 0.0429841 + 0.0207001i
\(91\) 0.133575 + 2.64238i 0.0140025 + 0.276996i
\(92\) 3.97822 1.91581i 0.414758 0.199737i
\(93\) −1.28086 17.0918i −0.132819 1.77234i
\(94\) 4.22327 + 1.30271i 0.435597 + 0.134364i
\(95\) 4.17325 2.84527i 0.428166 0.291919i
\(96\) −9.37062 1.41239i −0.956385 0.144152i
\(97\) −8.45417 −0.858391 −0.429196 0.903212i \(-0.641203\pi\)
−0.429196 + 0.903212i \(0.641203\pi\)
\(98\) −1.87996 + 6.71479i −0.189904 + 0.678297i
\(99\) 3.33365 0.335045
\(100\) −4.31184 0.649905i −0.431184 0.0649905i
\(101\) 5.47770 3.73463i 0.545052 0.371610i −0.259269 0.965805i \(-0.583482\pi\)
0.804321 + 0.594195i \(0.202529\pi\)
\(102\) 2.85192 + 0.879701i 0.282382 + 0.0871034i
\(103\) 0.953685 + 12.7260i 0.0939693 + 1.25393i 0.822438 + 0.568855i \(0.192613\pi\)
−0.728469 + 0.685079i \(0.759768\pi\)
\(104\) 2.69939 1.29996i 0.264697 0.127471i
\(105\) 4.02939 + 0.707825i 0.393228 + 0.0690767i
\(106\) −7.96992 3.83811i −0.774107 0.372790i
\(107\) 1.97088 5.02172i 0.190532 0.485468i −0.803403 0.595436i \(-0.796980\pi\)
0.993935 + 0.109968i \(0.0350747\pi\)
\(108\) 0.347255 4.63380i 0.0334147 0.445888i
\(109\) 3.28532 + 8.37087i 0.314677 + 0.801784i 0.997464 + 0.0711667i \(0.0226722\pi\)
−0.682788 + 0.730617i \(0.739233\pi\)
\(110\) −4.69869 + 1.44935i −0.448003 + 0.138190i
\(111\) −0.0418060 + 0.0524231i −0.00396805 + 0.00497578i
\(112\) 2.54400 0.320463i 0.240385 0.0302809i
\(113\) 2.22396 + 2.78876i 0.209212 + 0.262344i 0.875355 0.483480i \(-0.160627\pi\)
−0.666143 + 0.745824i \(0.732056\pi\)
\(114\) −9.55467 6.51427i −0.894877 0.610117i
\(115\) 2.63461 + 2.44456i 0.245679 + 0.227957i
\(116\) −1.62068 + 2.80710i −0.150476 + 0.260633i
\(117\) −0.276970 0.479727i −0.0256059 0.0443508i
\(118\) −1.05832 + 4.63682i −0.0974266 + 0.426854i
\(119\) 4.20357 + 0.102132i 0.385340 + 0.00936242i
\(120\) −1.03090 4.51667i −0.0941079 0.412314i
\(121\) −18.4854 + 17.1520i −1.68049 + 1.55927i
\(122\) 8.69576 1.31068i 0.787277 0.118663i
\(123\) 16.6745 2.51328i 1.50349 0.226614i
\(124\) −6.71608 + 6.23161i −0.603121 + 0.559615i
\(125\) −1.70239 7.45864i −0.152266 0.667121i
\(126\) −0.290199 1.43080i −0.0258530 0.127466i
\(127\) −2.77178 + 12.1439i −0.245955 + 1.07760i 0.689536 + 0.724251i \(0.257814\pi\)
−0.935491 + 0.353350i \(0.885043\pi\)
\(128\) 1.56735 + 2.71473i 0.138535 + 0.239950i
\(129\) −10.1726 + 17.6195i −0.895647 + 1.55131i
\(130\) 0.598951 + 0.555745i 0.0525315 + 0.0487421i
\(131\) −0.592655 0.404065i −0.0517805 0.0353034i 0.537153 0.843485i \(-0.319500\pi\)
−0.588934 + 0.808181i \(0.700452\pi\)
\(132\) −7.12808 8.93833i −0.620419 0.777981i
\(133\) −15.4473 5.17897i −1.33945 0.449074i
\(134\) 7.06975 8.86519i 0.610734 0.765836i
\(135\) 3.61427 1.11485i 0.311067 0.0959514i
\(136\) −1.73961 4.43245i −0.149170 0.380080i
\(137\) 1.27639 17.0323i 0.109050 1.45517i −0.627413 0.778687i \(-0.715886\pi\)
0.736462 0.676478i \(-0.236495\pi\)
\(138\) 3.00623 7.65975i 0.255907 0.652041i
\(139\) −7.95840 3.83256i −0.675023 0.325074i 0.0647782 0.997900i \(-0.479366\pi\)
−0.739801 + 0.672826i \(0.765080\pi\)
\(140\) −1.04709 1.91985i −0.0884955 0.162257i
\(141\) −7.53579 + 3.62905i −0.634628 + 0.305621i
\(142\) 0.0692570 + 0.924170i 0.00581192 + 0.0775547i
\(143\) 5.75070 + 1.77385i 0.480897 + 0.148337i
\(144\) −0.443564 + 0.302416i −0.0369636 + 0.0252014i
\(145\) −2.60887 0.393224i −0.216655 0.0326555i
\(146\) −9.59195 −0.793835
\(147\) −6.03537 11.7353i −0.497789 0.967912i
\(148\) 0.0358415 0.00294615
\(149\) −1.35908 0.204848i −0.111340 0.0167818i 0.0931359 0.995653i \(-0.470311\pi\)
−0.204476 + 0.978872i \(0.565549\pi\)
\(150\) −6.71416 + 4.57764i −0.548209 + 0.373762i
\(151\) −14.7688 4.55559i −1.20187 0.370728i −0.371762 0.928328i \(-0.621246\pi\)
−0.830110 + 0.557600i \(0.811722\pi\)
\(152\) 1.37875 + 18.3981i 0.111831 + 1.49229i
\(153\) −0.793178 + 0.381974i −0.0641246 + 0.0308808i
\(154\) 12.8840 + 9.25042i 1.03822 + 0.745420i
\(155\) −6.71884 3.23562i −0.539670 0.259891i
\(156\) −0.694040 + 1.76839i −0.0555677 + 0.141584i
\(157\) 0.600700 8.01579i 0.0479411 0.639730i −0.920541 0.390646i \(-0.872252\pi\)
0.968482 0.249084i \(-0.0801294\pi\)
\(158\) −2.08322 5.30795i −0.165732 0.422278i
\(159\) 15.9971 4.93446i 1.26865 0.391328i
\(160\) −2.57072 + 3.22358i −0.203234 + 0.254847i
\(161\) 1.14689 11.5361i 0.0903876 0.909176i
\(162\) −6.43132 8.06461i −0.505292 0.633616i
\(163\) 0.341270 + 0.232674i 0.0267303 + 0.0182244i 0.576612 0.817018i \(-0.304375\pi\)
−0.549881 + 0.835243i \(0.685327\pi\)
\(164\) −6.60757 6.13093i −0.515964 0.478745i
\(165\) 4.65282 8.05893i 0.362222 0.627387i
\(166\) −5.84926 10.1312i −0.453990 0.786334i
\(167\) 3.85196 16.8765i 0.298073 1.30594i −0.574919 0.818210i \(-0.694966\pi\)
0.872992 0.487734i \(-0.162176\pi\)
\(168\) −9.59832 + 11.4538i −0.740527 + 0.883676i
\(169\) −0.222521 0.974928i −0.0171170 0.0749945i
\(170\) 0.951893 0.883228i 0.0730069 0.0677405i
\(171\) 3.37302 0.508401i 0.257941 0.0388784i
\(172\) 10.7538 1.62087i 0.819966 0.123590i
\(173\) 5.54294 5.14310i 0.421422 0.391022i −0.440757 0.897627i \(-0.645290\pi\)
0.862179 + 0.506604i \(0.169099\pi\)
\(174\) 1.34414 + 5.88905i 0.101899 + 0.446448i
\(175\) −7.35349 + 8.77498i −0.555872 + 0.663326i
\(176\) 1.29782 5.68612i 0.0978268 0.428607i
\(177\) −4.50040 7.79493i −0.338271 0.585903i
\(178\) −1.96514 + 3.40372i −0.147294 + 0.255120i
\(179\) −13.4887 12.5157i −1.00819 0.935467i −0.0102745 0.999947i \(-0.503271\pi\)
−0.997919 + 0.0644804i \(0.979461\pi\)
\(180\) 0.378299 + 0.257920i 0.0281967 + 0.0192242i
\(181\) −14.3310 17.9705i −1.06521 1.33573i −0.939072 0.343722i \(-0.888312\pi\)
−0.126141 0.992012i \(-0.540259\pi\)
\(182\) 0.260733 2.62262i 0.0193268 0.194401i
\(183\) −10.3764 + 13.0117i −0.767049 + 0.961849i
\(184\) −12.5449 + 3.86959i −0.924822 + 0.285270i
\(185\) 0.0106583 + 0.0271569i 0.000783614 + 0.00199661i
\(186\) −1.27591 + 17.0259i −0.0935546 + 1.24840i
\(187\) 3.49424 8.90317i 0.255524 0.651064i
\(188\) 4.02814 + 1.93985i 0.293783 + 0.141478i
\(189\) −9.91047 7.11550i −0.720880 0.517576i
\(190\) −4.53315 + 2.18305i −0.328869 + 0.158375i
\(191\) −0.335613 4.47844i −0.0242841 0.324049i −0.996095 0.0882873i \(-0.971861\pi\)
0.971811 0.235761i \(-0.0757584\pi\)
\(192\) 12.5122 + 3.85950i 0.902991 + 0.278536i
\(193\) 3.53785 2.41206i 0.254660 0.173624i −0.429261 0.903181i \(-0.641226\pi\)
0.683921 + 0.729556i \(0.260273\pi\)
\(194\) 8.32750 + 1.25517i 0.597880 + 0.0901158i
\(195\) −1.54629 −0.110732
\(196\) −2.89293 + 6.43339i −0.206638 + 0.459528i
\(197\) −2.71429 −0.193385 −0.0966926 0.995314i \(-0.530826\pi\)
−0.0966926 + 0.995314i \(0.530826\pi\)
\(198\) −3.28370 0.494938i −0.233362 0.0351737i
\(199\) 13.5390 9.23075i 0.959756 0.654350i 0.0213084 0.999773i \(-0.493217\pi\)
0.938447 + 0.345423i \(0.112264\pi\)
\(200\) 12.3888 + 3.82144i 0.876021 + 0.270217i
\(201\) 1.60363 + 21.3989i 0.113111 + 1.50937i
\(202\) −5.95010 + 2.86542i −0.418647 + 0.201610i
\(203\) 4.07488 + 7.47132i 0.286001 + 0.524384i
\(204\) 2.72015 + 1.30996i 0.190449 + 0.0917153i
\(205\) 2.68046 6.82969i 0.187211 0.477007i
\(206\) 0.950006 12.6769i 0.0661900 0.883245i
\(207\) 0.886766 + 2.25944i 0.0616345 + 0.157042i
\(208\) −0.926084 + 0.285659i −0.0642124 + 0.0198069i
\(209\) −23.1057 + 28.9737i −1.59826 + 2.00415i
\(210\) −3.86393 1.29545i −0.266636 0.0893947i
\(211\) −8.90116 11.1617i −0.612781 0.768403i 0.374528 0.927216i \(-0.377805\pi\)
−0.987309 + 0.158813i \(0.949233\pi\)
\(212\) −7.39366 5.04091i −0.507799 0.346211i
\(213\) −1.28569 1.19295i −0.0880941 0.0817394i
\(214\) −2.68691 + 4.65386i −0.183673 + 0.318132i
\(215\) 4.42600 + 7.66606i 0.301851 + 0.522821i
\(216\) −3.07432 + 13.4695i −0.209181 + 0.916481i
\(217\) 4.78146 + 23.5746i 0.324586 + 1.60035i
\(218\) −1.99330 8.73321i −0.135003 0.591487i
\(219\) 13.3068 12.3469i 0.899193 0.834329i
\(220\) −4.91864 + 0.741365i −0.331614 + 0.0499828i
\(221\) −1.57152 + 0.236868i −0.105712 + 0.0159335i
\(222\) 0.0489628 0.0454308i 0.00328616 0.00304912i
\(223\) 0.628870 + 2.75526i 0.0421122 + 0.184506i 0.991609 0.129270i \(-0.0412633\pi\)
−0.949497 + 0.313775i \(0.898406\pi\)
\(224\) 13.2957 + 0.323039i 0.888358 + 0.0215840i
\(225\) 0.533389 2.33693i 0.0355592 0.155795i
\(226\) −1.77660 3.07716i −0.118177 0.204689i
\(227\) −7.59744 + 13.1592i −0.504260 + 0.873404i 0.495728 + 0.868478i \(0.334901\pi\)
−0.999988 + 0.00492591i \(0.998432\pi\)
\(228\) −8.57541 7.95682i −0.567920 0.526953i
\(229\) 13.5947 + 9.26870i 0.898362 + 0.612493i 0.921984 0.387228i \(-0.126567\pi\)
−0.0236216 + 0.999721i \(0.507520\pi\)
\(230\) −2.23220 2.79909i −0.147187 0.184567i
\(231\) −29.7812 + 3.75148i −1.95946 + 0.246829i
\(232\) 6.00871 7.53469i 0.394491 0.494676i
\(233\) −24.6598 + 7.60654i −1.61552 + 0.498321i −0.965238 0.261374i \(-0.915824\pi\)
−0.650280 + 0.759695i \(0.725348\pi\)
\(234\) 0.201597 + 0.513660i 0.0131788 + 0.0335790i
\(235\) −0.271953 + 3.62896i −0.0177403 + 0.236728i
\(236\) −1.75775 + 4.47866i −0.114420 + 0.291536i
\(237\) 9.72253 + 4.68212i 0.631546 + 0.304137i
\(238\) −4.12542 0.724694i −0.267411 0.0469749i
\(239\) 19.3982 9.34167i 1.25476 0.604263i 0.315979 0.948766i \(-0.397667\pi\)
0.938785 + 0.344504i \(0.111953\pi\)
\(240\) 0.111988 + 1.49438i 0.00722881 + 0.0964617i
\(241\) 23.0449 + 7.10839i 1.48445 + 0.457892i 0.927870 0.372903i \(-0.121638\pi\)
0.556579 + 0.830795i \(0.312114\pi\)
\(242\) 20.7550 14.1505i 1.33418 0.909628i
\(243\) 5.62371 + 0.847638i 0.360761 + 0.0543760i
\(244\) 8.89601 0.569509
\(245\) −5.73482 0.278837i −0.366385 0.0178142i
\(246\) −16.7978 −1.07099
\(247\) 6.08914 + 0.917790i 0.387442 + 0.0583976i
\(248\) 22.5067 15.3448i 1.42917 0.974395i
\(249\) 21.1557 + 6.52568i 1.34069 + 0.413548i
\(250\) 0.569514 + 7.59964i 0.0360192 + 0.480643i
\(251\) 20.1690 9.71287i 1.27305 0.613071i 0.329459 0.944170i \(-0.393134\pi\)
0.943596 + 0.331099i \(0.107419\pi\)
\(252\) −0.0745625 1.47499i −0.00469699 0.0929157i
\(253\) −23.7582 11.4414i −1.49367 0.719312i
\(254\) 4.53322 11.5505i 0.284440 0.724741i
\(255\) −0.183647 + 2.45059i −0.0115004 + 0.153462i
\(256\) −6.21590 15.8379i −0.388494 0.989866i
\(257\) −25.0168 + 7.71666i −1.56051 + 0.481352i −0.950416 0.310981i \(-0.899343\pi\)
−0.610089 + 0.792333i \(0.708866\pi\)
\(258\) 12.6361 15.8452i 0.786689 0.986477i
\(259\) 0.0490171 0.0803287i 0.00304577 0.00499138i
\(260\) 0.515342 + 0.646218i 0.0319602 + 0.0400768i
\(261\) −1.47219 1.00372i −0.0911265 0.0621290i
\(262\) 0.523784 + 0.486001i 0.0323595 + 0.0300252i
\(263\) 13.6088 23.5711i 0.839155 1.45346i −0.0514475 0.998676i \(-0.516383\pi\)
0.890602 0.454783i \(-0.150283\pi\)
\(264\) 16.9957 + 29.4373i 1.04601 + 1.81174i
\(265\) 1.62080 7.10117i 0.0995647 0.436222i
\(266\) 14.4469 + 7.39479i 0.885796 + 0.453404i
\(267\) −1.65512 7.25153i −0.101291 0.443787i
\(268\) 8.40852 7.80196i 0.513632 0.476581i
\(269\) 4.11225 0.619822i 0.250728 0.0377912i −0.0224755 0.999747i \(-0.507155\pi\)
0.273204 + 0.961956i \(0.411917\pi\)
\(270\) −3.72564 + 0.561549i −0.226735 + 0.0341748i
\(271\) −8.97103 + 8.32390i −0.544952 + 0.505641i −0.903916 0.427710i \(-0.859320\pi\)
0.358964 + 0.933351i \(0.383130\pi\)
\(272\) 0.342732 + 1.50161i 0.0207812 + 0.0910483i
\(273\) 3.01417 + 3.97396i 0.182426 + 0.240515i
\(274\) −3.78600 + 16.5876i −0.228721 + 1.00209i
\(275\) 13.0208 + 22.5526i 0.785181 + 1.35997i
\(276\) 4.16202 7.20882i 0.250524 0.433920i
\(277\) −2.75548 2.55672i −0.165561 0.153618i 0.593041 0.805172i \(-0.297927\pi\)
−0.758602 + 0.651554i \(0.774117\pi\)
\(278\) 7.27014 + 4.95670i 0.436034 + 0.297283i
\(279\) −3.14009 3.93755i −0.187992 0.235735i
\(280\) 2.22770 + 6.10835i 0.133130 + 0.365044i
\(281\) 13.0112 16.3155i 0.776182 0.973302i −0.223817 0.974631i \(-0.571852\pi\)
0.999999 + 0.00132960i \(0.000423226\pi\)
\(282\) 7.96167 2.45585i 0.474111 0.146244i
\(283\) 4.99799 + 12.7347i 0.297100 + 0.756998i 0.998999 + 0.0447221i \(0.0142402\pi\)
−0.701900 + 0.712276i \(0.747665\pi\)
\(284\) −0.0700605 + 0.934893i −0.00415733 + 0.0554757i
\(285\) 3.47874 8.86369i 0.206063 0.525040i
\(286\) −5.40117 2.60107i −0.319378 0.153804i
\(287\) −22.7773 + 6.42432i −1.34450 + 0.379216i
\(288\) −2.50879 + 1.20817i −0.147832 + 0.0711921i
\(289\) −1.08166 14.4338i −0.0636271 0.849044i
\(290\) 2.51140 + 0.774665i 0.147475 + 0.0454899i
\(291\) −13.1684 + 8.97804i −0.771943 + 0.526302i
\(292\) −9.59486 1.44619i −0.561497 0.0846320i
\(293\) 11.2430 0.656824 0.328412 0.944535i \(-0.393487\pi\)
0.328412 + 0.944535i \(0.393487\pi\)
\(294\) 4.20263 + 12.4555i 0.245102 + 0.726421i
\(295\) −3.91617 −0.228008
\(296\) −0.105374 0.0158825i −0.00612473 0.000923154i
\(297\) −22.9290 + 15.6327i −1.33047 + 0.907101i
\(298\) 1.30830 + 0.403557i 0.0757878 + 0.0233774i
\(299\) 0.327448 + 4.36950i 0.0189368 + 0.252694i
\(300\) −7.40637 + 3.56672i −0.427607 + 0.205925i
\(301\) 11.0742 26.3183i 0.638306 1.51696i
\(302\) 13.8712 + 6.68002i 0.798198 + 0.384392i
\(303\) 4.56611 11.6343i 0.262316 0.668371i
\(304\) 0.445981 5.95120i 0.0255787 0.341325i
\(305\) 2.64544 + 6.74046i 0.151477 + 0.385958i
\(306\) 0.838004 0.258490i 0.0479055 0.0147769i
\(307\) −10.2709 + 12.8793i −0.586191 + 0.735060i −0.983155 0.182774i \(-0.941492\pi\)
0.396964 + 0.917834i \(0.370064\pi\)
\(308\) 11.4932 + 11.1958i 0.654886 + 0.637938i
\(309\) 15.0001 + 18.8095i 0.853325 + 1.07004i
\(310\) 6.13778 + 4.18467i 0.348603 + 0.237673i
\(311\) 0.577864 + 0.536179i 0.0327677 + 0.0304039i 0.696387 0.717667i \(-0.254790\pi\)
−0.663619 + 0.748071i \(0.730980\pi\)
\(312\) 2.82411 4.89150i 0.159884 0.276926i
\(313\) −9.64330 16.7027i −0.545072 0.944092i −0.998602 0.0528511i \(-0.983169\pi\)
0.453531 0.891241i \(-0.350164\pi\)
\(314\) −1.78178 + 7.80650i −0.100552 + 0.440546i
\(315\) 1.09542 0.495119i 0.0617200 0.0278968i
\(316\) −1.28356 5.62365i −0.0722060 0.316355i
\(317\) −10.6074 + 9.84219i −0.595768 + 0.552792i −0.919366 0.393402i \(-0.871298\pi\)
0.323598 + 0.946195i \(0.395107\pi\)
\(318\) −16.4900 + 2.48547i −0.924715 + 0.139378i
\(319\) 19.1414 2.88511i 1.07172 0.161535i
\(320\) 4.17623 3.87498i 0.233458 0.216618i
\(321\) −2.26302 9.91492i −0.126309 0.553397i
\(322\) −2.84245 + 11.1930i −0.158403 + 0.623762i
\(323\) 2.17772 9.54121i 0.121172 0.530887i
\(324\) −5.21735 9.03672i −0.289853 0.502040i
\(325\) 2.16361 3.74749i 0.120016 0.207873i
\(326\) −0.301612 0.279855i −0.0167047 0.0154997i
\(327\) 14.0068 + 9.54971i 0.774580 + 0.528100i
\(328\) 16.7094 + 20.9529i 0.922623 + 1.15693i
\(329\) 9.85656 6.37501i 0.543410 0.351466i
\(330\) −5.77960 + 7.24738i −0.318156 + 0.398955i
\(331\) 33.8327 10.4360i 1.85961 0.573614i 0.861819 0.507217i \(-0.169326\pi\)
0.997793 0.0663976i \(-0.0211506\pi\)
\(332\) −4.32353 11.0162i −0.237285 0.604592i
\(333\) −0.00147236 + 0.0196473i −8.06847e−5 + 0.00107666i
\(334\) −6.29985 + 16.0518i −0.344713 + 0.878313i
\(335\) 8.41198 + 4.05099i 0.459595 + 0.221329i
\(336\) 3.62226 3.20080i 0.197610 0.174618i
\(337\) −1.25325 + 0.603534i −0.0682690 + 0.0328766i −0.467707 0.883884i \(-0.654920\pi\)
0.399438 + 0.916760i \(0.369205\pi\)
\(338\) 0.0744418 + 0.993357i 0.00404910 + 0.0540315i
\(339\) 6.42564 + 1.98205i 0.348993 + 0.107650i
\(340\) 1.08535 0.739978i 0.0588612 0.0401309i
\(341\) 54.1039 + 8.15484i 2.92989 + 0.441610i
\(342\) −3.39796 −0.183741
\(343\) 10.4623 + 15.2820i 0.564909 + 0.825153i
\(344\) −32.3343 −1.74335
\(345\) 6.69976 + 1.00983i 0.360703 + 0.0543672i
\(346\) −6.22347 + 4.24309i −0.334576 + 0.228110i
\(347\) 18.6855 + 5.76370i 1.00309 + 0.309412i 0.752436 0.658666i \(-0.228879\pi\)
0.250652 + 0.968077i \(0.419355\pi\)
\(348\) 0.456644 + 6.09349i 0.0244787 + 0.326646i
\(349\) −8.38883 + 4.03985i −0.449044 + 0.216248i −0.644717 0.764421i \(-0.723025\pi\)
0.195674 + 0.980669i \(0.437311\pi\)
\(350\) 8.54611 7.55175i 0.456809 0.403658i
\(351\) 4.15463 + 2.00076i 0.221757 + 0.106793i
\(352\) 11.0521 28.1604i 0.589081 1.50095i
\(353\) −1.01733 + 13.5753i −0.0541469 + 0.722540i 0.902388 + 0.430923i \(0.141812\pi\)
−0.956535 + 0.291616i \(0.905807\pi\)
\(354\) 3.27568 + 8.34630i 0.174100 + 0.443601i
\(355\) −0.729198 + 0.224928i −0.0387018 + 0.0119379i
\(356\) −2.47892 + 3.10847i −0.131383 + 0.164749i
\(357\) 6.65601 4.30496i 0.352273 0.227843i
\(358\) 11.4284 + 14.3308i 0.604011 + 0.757406i
\(359\) 15.3577 + 10.4707i 0.810547 + 0.552622i 0.896173 0.443706i \(-0.146336\pi\)
−0.0856253 + 0.996327i \(0.527289\pi\)
\(360\) −0.997905 0.925920i −0.0525942 0.0488003i
\(361\) −9.45996 + 16.3851i −0.497893 + 0.862376i
\(362\) 11.4482 + 19.8289i 0.601705 + 1.04218i
\(363\) −10.5784 + 46.3471i −0.555223 + 2.43259i
\(364\) 0.656228 2.58410i 0.0343957 0.135444i
\(365\) −1.75748 7.70003i −0.0919908 0.403038i
\(366\) 12.1528 11.2761i 0.635236 0.589413i
\(367\) −9.08043 + 1.36865i −0.473994 + 0.0714432i −0.381695 0.924288i \(-0.624660\pi\)
−0.0922990 + 0.995731i \(0.529422\pi\)
\(368\) 4.19910 0.632912i 0.218893 0.0329928i
\(369\) 3.63223 3.37022i 0.189087 0.175447i
\(370\) −0.00646669 0.0283324i −0.000336187 0.00147293i
\(371\) −21.4094 + 9.67685i −1.11152 + 0.502397i
\(372\) −3.84332 + 16.8387i −0.199267 + 0.873046i
\(373\) −11.1993 19.3977i −0.579875 1.00437i −0.995493 0.0948341i \(-0.969768\pi\)
0.415618 0.909539i \(-0.363565\pi\)
\(374\) −4.76371 + 8.25099i −0.246326 + 0.426648i
\(375\) −10.5725 9.80983i −0.545961 0.506578i
\(376\) −10.9831 7.48816i −0.566411 0.386172i
\(377\) −2.00551 2.51483i −0.103289 0.129520i
\(378\) 8.70555 + 8.48027i 0.447765 + 0.436178i
\(379\) −5.48454 + 6.87740i −0.281722 + 0.353268i −0.902478 0.430735i \(-0.858254\pi\)
0.620756 + 0.784004i \(0.286826\pi\)
\(380\) −4.86366 + 1.50024i −0.249501 + 0.0769608i
\(381\) 8.57908 + 21.8591i 0.439520 + 1.11988i
\(382\) −0.334318 + 4.46117i −0.0171052 + 0.228253i
\(383\) 11.6823 29.7660i 0.596937 1.52097i −0.238363 0.971176i \(-0.576611\pi\)
0.835300 0.549795i \(-0.185294\pi\)
\(384\) 5.32427 + 2.56403i 0.271703 + 0.130845i
\(385\) −5.06521 + 12.0377i −0.258147 + 0.613496i
\(386\) −3.84295 + 1.85067i −0.195601 + 0.0941965i
\(387\) 0.446751 + 5.96148i 0.0227096 + 0.303039i
\(388\) 8.14078 + 2.51110i 0.413286 + 0.127482i
\(389\) 0.293603 0.200175i 0.0148862 0.0101493i −0.555854 0.831280i \(-0.687609\pi\)
0.570740 + 0.821131i \(0.306656\pi\)
\(390\) 1.52312 + 0.229573i 0.0771261 + 0.0116249i
\(391\) 6.96377 0.352173
\(392\) 11.3560 17.6322i 0.573566 0.890560i
\(393\) −1.35223 −0.0682111
\(394\) 2.67362 + 0.402983i 0.134695 + 0.0203020i
\(395\) 3.87931 2.64487i 0.195189 0.133078i
\(396\) −3.21007 0.990177i −0.161312 0.0497583i
\(397\) 2.55586 + 34.1055i 0.128275 + 1.71171i 0.575928 + 0.817501i \(0.304641\pi\)
−0.447653 + 0.894207i \(0.647740\pi\)
\(398\) −14.7066 + 7.08234i −0.737176 + 0.355005i
\(399\) −29.5608 + 8.33759i −1.47989 + 0.417402i
\(400\) −3.77838 1.81957i −0.188919 0.0909787i
\(401\) 6.69412 17.0563i 0.334288 0.851753i −0.660597 0.750741i \(-0.729697\pi\)
0.994885 0.101012i \(-0.0322081\pi\)
\(402\) 1.59744 21.3164i 0.0796732 1.06317i
\(403\) −3.32161 8.46331i −0.165461 0.421588i
\(404\) −6.38393 + 1.96918i −0.317612 + 0.0979704i
\(405\) 5.29558 6.64044i 0.263139 0.329966i
\(406\) −2.90458 7.96436i −0.144152 0.395265i
\(407\) −0.133457 0.167349i −0.00661521 0.00829521i
\(408\) −7.41675 5.05666i −0.367184 0.250342i
\(409\) −12.5531 11.6476i −0.620711 0.575936i 0.305850 0.952080i \(-0.401059\pi\)
−0.926561 + 0.376144i \(0.877250\pi\)
\(410\) −3.65428 + 6.32940i −0.180472 + 0.312587i
\(411\) −16.0996 27.8852i −0.794132 1.37548i
\(412\) 2.86162 12.5376i 0.140982 0.617681i
\(413\) 7.63377 + 10.0646i 0.375633 + 0.495245i
\(414\) −0.538026 2.35725i −0.0264425 0.115852i
\(415\) 7.06120 6.55184i 0.346621 0.321617i
\(416\) −4.97065 + 0.749205i −0.243706 + 0.0367328i
\(417\) −16.4662 + 2.48188i −0.806353 + 0.121538i
\(418\) 27.0612 25.1091i 1.32361 1.22813i
\(419\) −4.21683 18.4751i −0.206005 0.902569i −0.967194 0.254038i \(-0.918241\pi\)
0.761189 0.648531i \(-0.224616\pi\)
\(420\) −3.66978 1.87842i −0.179067 0.0916573i
\(421\) 5.97720 26.1878i 0.291311 1.27632i −0.591392 0.806384i \(-0.701421\pi\)
0.882703 0.469931i \(-0.155721\pi\)
\(422\) 7.11064 + 12.3160i 0.346141 + 0.599533i
\(423\) −1.22885 + 2.12842i −0.0597485 + 0.103487i
\(424\) 19.5035 + 18.0966i 0.947176 + 0.878850i
\(425\) −5.68214 3.87402i −0.275624 0.187918i
\(426\) 1.08931 + 1.36596i 0.0527774 + 0.0661807i
\(427\) 12.1663 19.9379i 0.588767 0.964865i
\(428\) −3.38940 + 4.25017i −0.163833 + 0.205440i
\(429\) 10.8412 3.34405i 0.523416 0.161452i
\(430\) −3.22153 8.20831i −0.155356 0.395840i
\(431\) 0.764783 10.2053i 0.0368383 0.491573i −0.948020 0.318211i \(-0.896918\pi\)
0.984858 0.173362i \(-0.0554630\pi\)
\(432\) 1.63270 4.16006i 0.0785535 0.200151i
\(433\) 11.3432 + 5.46262i 0.545122 + 0.262517i 0.686114 0.727494i \(-0.259315\pi\)
−0.140992 + 0.990011i \(0.545029\pi\)
\(434\) −1.20975 23.9313i −0.0580700 1.14874i
\(435\) −4.48121 + 2.15804i −0.214858 + 0.103470i
\(436\) −0.677184 9.03639i −0.0324312 0.432764i
\(437\) −25.7837 7.95321i −1.23340 0.380454i
\(438\) −14.9406 + 10.1863i −0.713888 + 0.486721i
\(439\) 9.80290 + 1.47755i 0.467867 + 0.0705196i 0.378745 0.925501i \(-0.376356\pi\)
0.0891221 + 0.996021i \(0.471594\pi\)
\(440\) 14.7893 0.705052
\(441\) −3.40776 1.85010i −0.162274 0.0881000i
\(442\) 1.58314 0.0753022
\(443\) 2.64225 + 0.398255i 0.125537 + 0.0189217i 0.211510 0.977376i \(-0.432162\pi\)
−0.0859732 + 0.996297i \(0.527400\pi\)
\(444\) 0.0558273 0.0380624i 0.00264945 0.00180636i
\(445\) −3.09244 0.953891i −0.146596 0.0452188i
\(446\) −0.210381 2.80734i −0.00996184 0.132931i
\(447\) −2.33446 + 1.12422i −0.110416 + 0.0531737i
\(448\) −18.0994 3.17944i −0.855117 0.150215i
\(449\) −34.1589 16.4500i −1.61206 0.776325i −0.612160 0.790734i \(-0.709699\pi\)
−0.999896 + 0.0144086i \(0.995413\pi\)
\(450\) −0.872354 + 2.22272i −0.0411232 + 0.104780i
\(451\) −4.02279 + 53.6805i −0.189426 + 2.52771i
\(452\) −1.31319 3.34595i −0.0617672 0.157380i
\(453\) −27.8421 + 8.58814i −1.30813 + 0.403506i
\(454\) 9.43731 11.8340i 0.442915 0.555398i
\(455\) 2.15311 0.271222i 0.100939 0.0127151i
\(456\) 21.6857 + 27.1931i 1.01553 + 1.27343i
\(457\) 26.5972 + 18.1336i 1.24416 + 0.848256i 0.992817 0.119641i \(-0.0381745\pi\)
0.251346 + 0.967897i \(0.419127\pi\)
\(458\) −12.0149 11.1482i −0.561419 0.520921i
\(459\) 3.66429 6.34673i 0.171034 0.296240i
\(460\) −1.81085 3.13649i −0.0844315 0.146240i
\(461\) −2.33376 + 10.2249i −0.108694 + 0.476220i 0.891057 + 0.453892i \(0.149965\pi\)
−0.999751 + 0.0223276i \(0.992892\pi\)
\(462\) 29.8919 + 0.726269i 1.39070 + 0.0337891i
\(463\) −3.73114 16.3472i −0.173401 0.759718i −0.984582 0.174923i \(-0.944032\pi\)
0.811181 0.584795i \(-0.198825\pi\)
\(464\) −2.28516 + 2.12032i −0.106086 + 0.0984335i
\(465\) −13.9015 + 2.09531i −0.644666 + 0.0971678i
\(466\) 25.4196 3.83139i 1.17754 0.177486i
\(467\) −7.76185 + 7.20195i −0.359176 + 0.333266i −0.839033 0.544080i \(-0.816879\pi\)
0.479858 + 0.877346i \(0.340688\pi\)
\(468\) 0.124213 + 0.544211i 0.00574173 + 0.0251562i
\(469\) −5.98638 29.5154i −0.276425 1.36289i
\(470\) 0.806661 3.53421i 0.0372085 0.163021i
\(471\) −7.57683 13.1235i −0.349122 0.604697i
\(472\) 7.15241 12.3883i 0.329216 0.570219i
\(473\) −47.6100 44.1756i −2.18911 2.03120i
\(474\) −8.88171 6.05545i −0.407950 0.278136i
\(475\) 16.6139 + 20.8332i 0.762300 + 0.955894i
\(476\) −4.01741 1.34691i −0.184138 0.0617355i
\(477\) 3.06701 3.84591i 0.140429 0.176092i
\(478\) −20.4945 + 6.32170i −0.937395 + 0.289148i
\(479\) 0.888116 + 2.26288i 0.0405791 + 0.103394i 0.949727 0.313080i \(-0.101361\pi\)
−0.909148 + 0.416474i \(0.863266\pi\)
\(480\) −0.580867 + 7.75113i −0.0265128 + 0.353789i
\(481\) −0.0129943 + 0.0331089i −0.000592489 + 0.00150964i
\(482\) −21.6442 10.4233i −0.985866 0.474768i
\(483\) −10.4646 19.1869i −0.476154 0.873032i
\(484\) 22.8947 11.0255i 1.04067 0.501160i
\(485\) 0.518205 + 6.91496i 0.0235305 + 0.313992i
\(486\) −5.41360 1.66987i −0.245566 0.0757470i
\(487\) −34.2805 + 23.3721i −1.55340 + 1.05909i −0.584574 + 0.811340i \(0.698738\pi\)
−0.968824 + 0.247749i \(0.920309\pi\)
\(488\) −26.1542 3.94212i −1.18395 0.178451i
\(489\) 0.778659 0.0352122
\(490\) 5.60750 + 1.12609i 0.253321 + 0.0508717i
\(491\) 1.98108 0.0894051 0.0447025 0.999000i \(-0.485766\pi\)
0.0447025 + 0.999000i \(0.485766\pi\)
\(492\) −16.8029 2.53263i −0.757533 0.114180i
\(493\) −4.22376 + 2.87971i −0.190228 + 0.129696i
\(494\) −5.86164 1.80808i −0.263728 0.0813492i
\(495\) −0.204339 2.72671i −0.00918434 0.122556i
\(496\) −7.93864 + 3.82305i −0.356456 + 0.171660i
\(497\) 1.99949 + 1.43559i 0.0896893 + 0.0643950i
\(498\) −19.8699 9.56884i −0.890391 0.428790i
\(499\) −7.23962 + 18.4462i −0.324090 + 0.825767i 0.672253 + 0.740322i \(0.265327\pi\)
−0.996343 + 0.0854459i \(0.972769\pi\)
\(500\) −0.576122 + 7.68781i −0.0257649 + 0.343809i
\(501\) −11.9224 30.3778i −0.532654 1.35718i
\(502\) −21.3088 + 6.57290i −0.951059 + 0.293363i
\(503\) −3.05255 + 3.82777i −0.136106 + 0.170672i −0.845214 0.534429i \(-0.820527\pi\)
0.709107 + 0.705101i \(0.249098\pi\)
\(504\) −0.434404 + 4.36951i −0.0193499 + 0.194633i
\(505\) −3.39045 4.25149i −0.150873 0.189189i
\(506\) 21.7036 + 14.7972i 0.964841 + 0.657818i
\(507\) −1.38194 1.28225i −0.0613742 0.0569469i
\(508\) 6.27608 10.8705i 0.278456 0.482300i
\(509\) −5.06327 8.76984i −0.224425 0.388716i 0.731721 0.681604i \(-0.238717\pi\)
−0.956147 + 0.292888i \(0.905384\pi\)
\(510\) 0.544728 2.38661i 0.0241210 0.105681i
\(511\) −16.3632 + 19.5264i −0.723867 + 0.863796i
\(512\) 2.37629 + 10.4112i 0.105018 + 0.460115i
\(513\) −20.8157 + 19.3141i −0.919034 + 0.852739i
\(514\) 25.7876 3.88686i 1.13744 0.171442i
\(515\) 10.3506 1.56010i 0.456103 0.0687464i
\(516\) 15.0289 13.9448i 0.661612 0.613886i
\(517\) −5.94144 26.0311i −0.261304 1.14485i
\(518\) −0.0602088 + 0.0718477i −0.00264542 + 0.00315681i
\(519\) 3.17199 13.8974i 0.139235 0.610028i
\(520\) −1.22874 2.12824i −0.0538839 0.0933297i
\(521\) 6.39289 11.0728i 0.280078 0.485109i −0.691326 0.722543i \(-0.742973\pi\)
0.971404 + 0.237434i \(0.0763064\pi\)
\(522\) 1.30111 + 1.20726i 0.0569483 + 0.0528403i
\(523\) −14.0054 9.54872i −0.612413 0.417536i 0.217000 0.976172i \(-0.430373\pi\)
−0.829413 + 0.558635i \(0.811325\pi\)
\(524\) 0.450668 + 0.565120i 0.0196875 + 0.0246874i
\(525\) −2.13520 + 21.4772i −0.0931879 + 0.937342i
\(526\) −16.9044 + 21.1975i −0.737069 + 0.924255i
\(527\) −13.8074 + 4.25901i −0.601458 + 0.185525i
\(528\) −4.01696 10.2350i −0.174816 0.445423i
\(529\) −0.283996 + 3.78966i −0.0123476 + 0.164768i
\(530\) −2.65080 + 6.75414i −0.115144 + 0.293381i
\(531\) −2.38287 1.14753i −0.103408 0.0497985i
\(532\) 13.3364 + 9.57521i 0.578204 + 0.415138i
\(533\) 8.05908 3.88105i 0.349077 0.168107i
\(534\) 0.553700 + 7.38861i 0.0239609 + 0.319736i
\(535\) −4.22825 1.30424i −0.182803 0.0563873i
\(536\) −28.1783 + 19.2116i −1.21712 + 0.829817i
\(537\) −34.3015 5.17012i −1.48022 0.223107i
\(538\) −4.14266 −0.178603
\(539\) 40.8104 10.4474i 1.75783 0.450001i
\(540\) −3.81143 −0.164018
\(541\) 29.3659 + 4.42620i 1.26254 + 0.190297i 0.745989 0.665958i \(-0.231977\pi\)
0.516552 + 0.856256i \(0.327215\pi\)
\(542\) 10.0724 6.86728i 0.432649 0.294975i
\(543\) −41.4062 12.7721i −1.77691 0.548104i
\(544\) 0.597013 + 7.96659i 0.0255967 + 0.341565i
\(545\) 6.64545 3.20028i 0.284660 0.137085i
\(546\) −2.37901 4.36192i −0.101812 0.186673i
\(547\) −29.8806 14.3897i −1.27760 0.615261i −0.332830 0.942987i \(-0.608003\pi\)
−0.944773 + 0.327726i \(0.893718\pi\)
\(548\) −6.28808 + 16.0218i −0.268614 + 0.684416i
\(549\) −0.365446 + 4.87654i −0.0155969 + 0.208126i
\(550\) −9.47733 24.1478i −0.404115 1.02967i
\(551\) 18.9275 5.83836i 0.806339 0.248723i
\(552\) −15.4308 + 19.3496i −0.656778 + 0.823573i
\(553\) −14.3593 4.81420i −0.610618 0.204721i
\(554\) 2.33461 + 2.92751i 0.0991880 + 0.124378i
\(555\) 0.0454412 + 0.0309813i 0.00192887 + 0.00131508i
\(556\) 6.52502 + 6.05433i 0.276723 + 0.256761i
\(557\) 11.5123 19.9399i 0.487793 0.844882i −0.512108 0.858921i \(-0.671135\pi\)
0.999901 + 0.0140385i \(0.00446874\pi\)
\(558\) 2.50844 + 4.34475i 0.106191 + 0.183928i
\(559\) −2.40147 + 10.5215i −0.101571 + 0.445014i
\(560\) −0.418054 2.06118i −0.0176660 0.0871009i
\(561\) −4.01217 17.5785i −0.169394 0.742164i
\(562\) −15.2385 + 14.1393i −0.642799 + 0.596431i
\(563\) 9.03328 1.36155i 0.380707 0.0573824i 0.0440990 0.999027i \(-0.485958\pi\)
0.336608 + 0.941645i \(0.390720\pi\)
\(564\) 8.33436 1.25620i 0.350940 0.0528957i
\(565\) 2.14470 1.98999i 0.0902283 0.0837196i
\(566\) −3.03242 13.2859i −0.127462 0.558448i
\(567\) −27.3886 0.665447i −1.15021 0.0279461i
\(568\) 0.620260 2.71754i 0.0260255 0.114025i
\(569\) −6.81662 11.8067i −0.285767 0.494964i 0.687028 0.726631i \(-0.258915\pi\)
−0.972795 + 0.231668i \(0.925582\pi\)
\(570\) −4.74259 + 8.21440i −0.198645 + 0.344063i
\(571\) −0.253857 0.235545i −0.0106236 0.00985724i 0.674843 0.737961i \(-0.264211\pi\)
−0.685467 + 0.728104i \(0.740402\pi\)
\(572\) −5.01064 3.41620i −0.209506 0.142838i
\(573\) −5.27871 6.61929i −0.220521 0.276525i
\(574\) 23.3899 2.94637i 0.976274 0.122979i
\(575\) −11.8219 + 14.8242i −0.493006 + 0.618210i
\(576\) 3.67657 1.13407i 0.153190 0.0472529i
\(577\) 10.9359 + 27.8643i 0.455268 + 1.16000i 0.955730 + 0.294245i \(0.0950683\pi\)
−0.500462 + 0.865759i \(0.666836\pi\)
\(578\) −1.07749 + 14.3781i −0.0448176 + 0.598049i
\(579\) 2.94908 7.51414i 0.122560 0.312277i
\(580\) 2.39537 + 1.15355i 0.0994622 + 0.0478985i
\(581\) −30.6026 5.37583i −1.26961 0.223027i
\(582\) 14.3040 6.88844i 0.592920 0.285535i
\(583\) 3.99369 + 53.2922i 0.165402 + 2.20714i
\(584\) 27.5680 + 8.50360i 1.14077 + 0.351881i
\(585\) −0.375408 + 0.255949i −0.0155212 + 0.0105822i
\(586\) −11.0746 1.66922i −0.457485 0.0689548i
\(587\) 44.9498 1.85528 0.927638 0.373481i \(-0.121836\pi\)
0.927638 + 0.373481i \(0.121836\pi\)
\(588\) 2.32597 + 13.0929i 0.0959212 + 0.539944i
\(589\) 55.9865 2.30688
\(590\) 3.85749 + 0.581423i 0.158810 + 0.0239368i
\(591\) −4.22782 + 2.88248i −0.173909 + 0.118569i
\(592\) 0.0329386 + 0.0101602i 0.00135377 + 0.000417582i
\(593\) −0.312753 4.17340i −0.0128432 0.171381i −0.999937 0.0112368i \(-0.996423\pi\)
0.987094 0.160144i \(-0.0511959\pi\)
\(594\) 24.9063 11.9943i 1.02192 0.492131i
\(595\) −0.174124 3.44451i −0.00713837 0.141211i
\(596\) 1.24785 + 0.600934i 0.0511140 + 0.0246152i
\(597\) 11.2859 28.7559i 0.461900 1.17690i
\(598\) 0.326185 4.35264i 0.0133387 0.177993i
\(599\) 4.68167 + 11.9287i 0.191288 + 0.487394i 0.994052 0.108903i \(-0.0347336\pi\)
−0.802765 + 0.596296i \(0.796638\pi\)
\(600\) 23.3552 7.20414i 0.953474 0.294108i
\(601\) 16.7125 20.9568i 0.681718 0.854847i −0.313793 0.949491i \(-0.601600\pi\)
0.995511 + 0.0946439i \(0.0301712\pi\)
\(602\) −14.8157 + 24.2798i −0.603842 + 0.989570i
\(603\) 3.93139 + 4.92981i 0.160099 + 0.200757i
\(604\) 12.8683 + 8.77343i 0.523602 + 0.356986i
\(605\) 15.1623 + 14.0685i 0.616434 + 0.571967i
\(606\) −6.22500 + 10.7820i −0.252873 + 0.437990i
\(607\) 0.524112 + 0.907789i 0.0212731 + 0.0368460i 0.876466 0.481464i \(-0.159895\pi\)
−0.855193 + 0.518310i \(0.826561\pi\)
\(608\) 6.88804 30.1785i 0.279347 1.22390i
\(609\) 14.2814 + 7.31007i 0.578711 + 0.296219i
\(610\) −1.60506 7.03223i −0.0649870 0.284727i
\(611\) −3.25236 + 3.01775i −0.131576 + 0.122085i
\(612\) 0.877231 0.132221i 0.0354600 0.00534473i
\(613\) 32.3453 4.87527i 1.30641 0.196910i 0.541313 0.840821i \(-0.317927\pi\)
0.765101 + 0.643911i \(0.222689\pi\)
\(614\) 12.0292 11.1614i 0.485457 0.450438i
\(615\) −3.07777 13.4846i −0.124108 0.543752i
\(616\) −28.8287 38.0085i −1.16154 1.53141i
\(617\) 2.36818 10.3757i 0.0953395 0.417710i −0.904624 0.426210i \(-0.859849\pi\)
0.999964 + 0.00850006i \(0.00270568\pi\)
\(618\) −11.9827 20.7547i −0.482016 0.834876i
\(619\) 8.11574 14.0569i 0.326199 0.564994i −0.655555 0.755147i \(-0.727565\pi\)
0.981754 + 0.190154i \(0.0608986\pi\)
\(620\) 5.50872 + 5.11134i 0.221235 + 0.205276i
\(621\) −16.6946 11.3822i −0.669930 0.456750i
\(622\) −0.489600 0.613939i −0.0196312 0.0246167i
\(623\) 3.57658 + 9.80699i 0.143293 + 0.392909i
\(624\) −1.13912 + 1.42842i −0.0456015 + 0.0571825i
\(625\) 14.6786 4.52774i 0.587142 0.181109i
\(626\) 7.01901 + 17.8841i 0.280536 + 0.714794i
\(627\) −5.22085 + 69.6674i −0.208501 + 2.78225i
\(628\) −2.95932 + 7.54023i −0.118090 + 0.300888i
\(629\) 0.0509286 + 0.0245259i 0.00203066 + 0.000977912i
\(630\) −1.15252 + 0.325066i −0.0459174 + 0.0129509i
\(631\) −5.35256 + 2.57766i −0.213082 + 0.102615i −0.537380 0.843340i \(-0.680586\pi\)
0.324299 + 0.945955i \(0.394872\pi\)
\(632\) 1.28164 + 17.1023i 0.0509809 + 0.680293i
\(633\) −25.7179 7.93293i −1.02220 0.315306i
\(634\) 11.9097 8.11987i 0.472993 0.322481i
\(635\) 10.1029 + 1.52276i 0.400920 + 0.0604289i
\(636\) −16.8698 −0.668930
\(637\) −4.89408 5.00479i −0.193911 0.198297i
\(638\) −19.2830 −0.763421
\(639\) −0.509603 0.0768103i −0.0201596 0.00303857i
\(640\) 2.12440 1.44839i 0.0839742 0.0572526i
\(641\) −0.428867 0.132288i −0.0169392 0.00522507i 0.286274 0.958148i \(-0.407583\pi\)
−0.303213 + 0.952923i \(0.598059\pi\)
\(642\) 0.757066 + 10.1023i 0.0298790 + 0.398708i
\(643\) −0.449577 + 0.216505i −0.0177296 + 0.00853812i −0.442728 0.896656i \(-0.645989\pi\)
0.424998 + 0.905194i \(0.360275\pi\)
\(644\) −4.53090 + 10.7679i −0.178542 + 0.424313i
\(645\) 15.0351 + 7.24053i 0.592007 + 0.285095i
\(646\) −3.56165 + 9.07493i −0.140131 + 0.357048i
\(647\) 0.522170 6.96787i 0.0205286 0.273935i −0.977488 0.210990i \(-0.932331\pi\)
0.998017 0.0629459i \(-0.0200496\pi\)
\(648\) 11.3345 + 28.8799i 0.445262 + 1.13451i
\(649\) 27.4566 8.46924i 1.07777 0.332447i
\(650\) −2.68757 + 3.37011i −0.105415 + 0.132187i
\(651\) 32.4831 + 31.6425i 1.27311 + 1.24017i
\(652\) −0.259509 0.325414i −0.0101632 0.0127442i
\(653\) −37.1150 25.3045i −1.45242 0.990243i −0.994881 0.101054i \(-0.967778\pi\)
−0.457539 0.889189i \(-0.651269\pi\)
\(654\) −12.3792 11.4862i −0.484063 0.449145i
\(655\) −0.294172 + 0.509521i −0.0114942 + 0.0199086i
\(656\) −4.33443 7.50746i −0.169231 0.293117i
\(657\) 1.18691 5.20021i 0.0463060 0.202880i
\(658\) −10.6554 + 4.81611i −0.415389 + 0.187752i
\(659\) 4.41733 + 19.3536i 0.172075 + 0.753908i 0.985142 + 0.171739i \(0.0549387\pi\)
−0.813068 + 0.582169i \(0.802204\pi\)
\(660\) −6.87405 + 6.37819i −0.267572 + 0.248271i
\(661\) −35.4776 + 5.34739i −1.37992 + 0.207989i −0.796724 0.604343i \(-0.793436\pi\)
−0.583195 + 0.812333i \(0.698197\pi\)
\(662\) −34.8751 + 5.25658i −1.35546 + 0.204303i
\(663\) −2.19628 + 2.03785i −0.0852963 + 0.0791434i
\(664\) 7.82954 + 34.3034i 0.303845 + 1.33123i
\(665\) −3.28921 + 12.9523i −0.127550 + 0.502269i
\(666\) 0.00436727 0.0191343i 0.000169228 0.000741438i
\(667\) 7.04715 + 12.2060i 0.272867 + 0.472619i
\(668\) −8.72191 + 15.1068i −0.337461 + 0.584499i
\(669\) 3.90553 + 3.62380i 0.150996 + 0.140104i
\(670\) −7.68450 5.23920i −0.296878 0.202408i
\(671\) −33.1246 41.5369i −1.27876 1.60351i
\(672\) 21.0527 13.6164i 0.812126 0.525265i
\(673\) 28.4122 35.6278i 1.09521 1.37335i 0.173790 0.984783i \(-0.444399\pi\)
0.921420 0.388568i \(-0.127030\pi\)
\(674\) 1.32408 0.408424i 0.0510016 0.0157319i
\(675\) 7.29004 + 18.5747i 0.280594 + 0.714941i
\(676\) −0.0753055 + 1.00488i −0.00289637 + 0.0386493i
\(677\) 8.78829 22.3922i 0.337761 0.860602i −0.656569 0.754266i \(-0.727993\pi\)
0.994330 0.106336i \(-0.0339119\pi\)
\(678\) −6.03509 2.90635i −0.231776 0.111618i
\(679\) 16.7613 14.8111i 0.643241 0.568398i
\(680\) −3.51883 + 1.69458i −0.134941 + 0.0649841i
\(681\) 2.14066 + 28.5651i 0.0820303 + 1.09462i
\(682\) −52.0825 16.0653i −1.99434 0.615173i
\(683\) −4.65114 + 3.17109i −0.177971 + 0.121339i −0.649029 0.760764i \(-0.724825\pi\)
0.471058 + 0.882102i \(0.343872\pi\)
\(684\) −3.39899 0.512316i −0.129964 0.0195889i
\(685\) −14.0095 −0.535277
\(686\) −8.03662 16.6064i −0.306840 0.634034i
\(687\) 31.0184 1.18342
\(688\) 10.3423 + 1.55885i 0.394295 + 0.0594304i
\(689\) 7.33716 5.00239i 0.279524 0.190576i
\(690\) −6.44945 1.98939i −0.245526 0.0757348i
\(691\) −0.980159 13.0793i −0.0372870 0.497561i −0.984316 0.176413i \(-0.943551\pi\)
0.947029 0.321148i \(-0.104069\pi\)
\(692\) −6.86510 + 3.30606i −0.260972 + 0.125677i
\(693\) −6.60933 + 5.84032i −0.251068 + 0.221855i
\(694\) −17.5498 8.45152i −0.666180 0.320815i
\(695\) −2.64697 + 6.74437i −0.100405 + 0.255829i
\(696\) 1.35770 18.1172i 0.0514633 0.686731i
\(697\) −5.19363 13.2332i −0.196723 0.501242i
\(698\) 8.86292 2.73385i 0.335466 0.103478i
\(699\) −30.3326 + 38.0359i −1.14729 + 1.43865i
\(700\) 9.68729 6.26553i 0.366145 0.236815i
\(701\) 23.6411 + 29.6450i 0.892911 + 1.11968i 0.992205 + 0.124617i \(0.0397703\pi\)
−0.0992936 + 0.995058i \(0.531658\pi\)
\(702\) −3.79533 2.58761i −0.143245 0.0976630i
\(703\) −0.160555 0.148973i −0.00605543 0.00561862i
\(704\) −20.8998 + 36.1995i −0.787690 + 1.36432i
\(705\) 3.43024 + 5.94134i 0.129190 + 0.223764i
\(706\) 3.01757 13.2208i 0.113568 0.497573i
\(707\) −4.31734 + 17.0009i −0.162370 + 0.639383i
\(708\) 2.01829 + 8.84271i 0.0758520 + 0.332329i
\(709\) −17.9900 + 16.6923i −0.675628 + 0.626891i −0.941459 0.337129i \(-0.890544\pi\)
0.265831 + 0.964020i \(0.414354\pi\)
\(710\) 0.751666 0.113295i 0.0282095 0.00425190i
\(711\) 3.13545 0.472593i 0.117589 0.0177236i
\(712\) 8.66549 8.04040i 0.324753 0.301327i
\(713\) 8.86478 + 38.8391i 0.331989 + 1.45454i
\(714\) −7.19543 + 3.25226i −0.269282 + 0.121713i
\(715\) 1.09840 4.81243i 0.0410780 0.179975i
\(716\) 9.27122 + 16.0582i 0.346482 + 0.600124i
\(717\) 20.2944 35.1509i 0.757908 1.31274i
\(718\) −13.5730 12.5939i −0.506540 0.470001i
\(719\) 14.0498 + 9.57900i 0.523969 + 0.357236i 0.796237 0.604985i \(-0.206821\pi\)
−0.272267 + 0.962222i \(0.587773\pi\)
\(720\) 0.274546 + 0.344269i 0.0102317 + 0.0128302i
\(721\) −24.1859 23.5600i −0.900730 0.877420i
\(722\) 11.7509 14.7351i 0.437322 0.548385i
\(723\) 43.4439 13.4007i 1.61570 0.498376i
\(724\) 8.46206 + 21.5610i 0.314490 + 0.801307i
\(725\) 1.04016 13.8800i 0.0386307 0.515490i
\(726\) 17.3009 44.0821i 0.642098 1.63604i
\(727\) 3.28882 + 1.58381i 0.121976 + 0.0587404i 0.493876 0.869532i \(-0.335580\pi\)
−0.371901 + 0.928273i \(0.621294\pi\)
\(728\) −3.07441 + 7.30645i −0.113945 + 0.270795i
\(729\) −18.3288 + 8.82667i −0.678844 + 0.326914i
\(730\) 0.587946 + 7.84559i 0.0217608 + 0.290378i
\(731\) 16.3896 + 5.05552i 0.606191 + 0.186985i
\(732\) 13.8566 9.44726i 0.512154 0.349181i
\(733\) −17.0571 2.57095i −0.630019 0.0949601i −0.173732 0.984793i \(-0.555583\pi\)
−0.456287 + 0.889833i \(0.650821\pi\)
\(734\) 9.14757 0.337643
\(735\) −9.22878 + 5.65586i −0.340409 + 0.208620i
\(736\) 22.0261 0.811894
\(737\) −67.7380 10.2099i −2.49516 0.376085i
\(738\) −4.07818 + 2.78045i −0.150120 + 0.102350i
\(739\) −37.9734 11.7133i −1.39688 0.430879i −0.497275 0.867593i \(-0.665666\pi\)
−0.899600 + 0.436714i \(0.856142\pi\)
\(740\) −0.00219693 0.0293160i −8.07607e−5 0.00107768i
\(741\) 10.4592 5.03689i 0.384228 0.185035i
\(742\) 22.5253 6.35325i 0.826932 0.233235i
\(743\) −1.18474 0.570539i −0.0434638 0.0209310i 0.412026 0.911172i \(-0.364821\pi\)
−0.455489 + 0.890241i \(0.650536\pi\)
\(744\) 18.7611 47.8026i 0.687817 1.75253i
\(745\) −0.0842466 + 1.12419i −0.00308656 + 0.0411872i
\(746\) 8.15153 + 20.7698i 0.298449 + 0.760435i
\(747\) 6.21636 1.91749i 0.227445 0.0701574i
\(748\) −6.00917 + 7.53526i −0.219717 + 0.275516i
\(749\) 4.89021 + 13.4090i 0.178684 + 0.489953i
\(750\) 8.95763 + 11.2325i 0.327087 + 0.410154i
\(751\) −2.88788 1.96893i −0.105380 0.0718471i 0.509483 0.860481i \(-0.329837\pi\)
−0.614864 + 0.788633i \(0.710789\pi\)
\(752\) 3.15199 + 2.92462i 0.114941 + 0.106650i
\(753\) 21.1008 36.5477i 0.768957 1.33187i
\(754\) 1.60209 + 2.77491i 0.0583448 + 0.101056i
\(755\) −2.82091 + 12.3592i −0.102663 + 0.449797i
\(756\) 7.42961 + 9.79539i 0.270212 + 0.356255i
\(757\) −5.08981 22.2999i −0.184992 0.810504i −0.979206 0.202866i \(-0.934974\pi\)
0.794214 0.607638i \(-0.207883\pi\)
\(758\) 6.42343 5.96007i 0.233310 0.216480i
\(759\) −49.1565 + 7.40915i −1.78427 + 0.268935i
\(760\) 14.9640 2.25545i 0.542800 0.0818139i
\(761\) 13.4478 12.4778i 0.487484 0.452319i −0.397731 0.917502i \(-0.630202\pi\)
0.885214 + 0.465183i \(0.154012\pi\)
\(762\) −5.20517 22.8053i −0.188563 0.826150i
\(763\) −21.1787 10.8405i −0.766720 0.392453i
\(764\) −1.00704 + 4.41212i −0.0364333 + 0.159625i
\(765\) 0.361048 + 0.625354i 0.0130537 + 0.0226097i
\(766\) −15.9265 + 27.5856i −0.575449 + 0.996706i
\(767\) −3.49994 3.24747i −0.126376 0.117259i
\(768\) −26.5013 18.0682i −0.956282 0.651982i
\(769\) 11.1513 + 13.9833i 0.402127 + 0.504251i 0.941126 0.338055i \(-0.109769\pi\)
−0.538999 + 0.842306i \(0.681197\pi\)
\(770\) 6.77651 11.1053i 0.244208 0.400206i
\(771\) −30.7718 + 38.5866i −1.10822 + 1.38966i
\(772\) −4.12315 + 1.27182i −0.148395 + 0.0457739i
\(773\) −4.15978 10.5989i</