Properties

Label 175.2.x.a.108.14
Level $175$
Weight $2$
Character 175.108
Analytic conductor $1.397$
Analytic rank $0$
Dimension $288$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 175 = 5^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 175.x (of order \(60\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.39738203537\)
Analytic rank: \(0\)
Dimension: \(288\)
Relative dimension: \(18\) over \(\Q(\zeta_{60})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label 108.14
Character \(\chi\) \(=\) 175.108
Dual form 175.2.x.a.47.14

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0712442 + 1.35942i) q^{2} +(-0.508971 - 0.412156i) q^{3} +(0.146098 - 0.0153555i) q^{4} +(2.05291 - 0.886307i) q^{5} +(0.524032 - 0.721269i) q^{6} +(1.38618 - 2.25355i) q^{7} +(0.457187 + 2.88657i) q^{8} +(-0.534557 - 2.51489i) q^{9} +O(q^{10})\) \(q+(0.0712442 + 1.35942i) q^{2} +(-0.508971 - 0.412156i) q^{3} +(0.146098 - 0.0153555i) q^{4} +(2.05291 - 0.886307i) q^{5} +(0.524032 - 0.721269i) q^{6} +(1.38618 - 2.25355i) q^{7} +(0.457187 + 2.88657i) q^{8} +(-0.534557 - 2.51489i) q^{9} +(1.35112 + 2.72763i) q^{10} +(-3.52517 - 0.749298i) q^{11} +(-0.0806882 - 0.0523996i) q^{12} +(3.11121 + 6.10609i) q^{13} +(3.16228 + 1.72385i) q^{14} +(-1.41017 - 0.395017i) q^{15} +(-3.60410 + 0.766075i) q^{16} +(-0.931067 - 0.357403i) q^{17} +(3.38071 - 0.905858i) q^{18} +(-0.467578 + 4.44871i) q^{19} +(0.286316 - 0.161011i) q^{20} +(-1.63434 + 0.575668i) q^{21} +(0.767463 - 4.84557i) q^{22} +(-3.95372 + 0.207206i) q^{23} +(0.957022 - 1.65761i) q^{24} +(3.42892 - 3.63903i) q^{25} +(-8.07908 + 4.66446i) q^{26} +(-1.65644 + 3.25095i) q^{27} +(0.167914 - 0.350524i) q^{28} +(-4.04983 - 5.57411i) q^{29} +(0.436528 - 1.94516i) q^{30} +(-2.51836 - 5.65634i) q^{31} +(0.214634 + 0.801024i) q^{32} +(1.48538 + 1.83429i) q^{33} +(0.419528 - 1.29117i) q^{34} +(0.848377 - 5.85493i) q^{35} +(-0.116715 - 0.359211i) q^{36} +(-1.65200 + 2.54385i) q^{37} +(-6.08098 - 0.318691i) q^{38} +(0.933150 - 4.39013i) q^{39} +(3.49695 + 5.52066i) q^{40} +(5.72350 + 1.85968i) q^{41} +(-0.899011 - 2.18074i) q^{42} +(3.08766 + 3.08766i) q^{43} +(-0.526525 - 0.0553400i) q^{44} +(-3.32637 - 4.68908i) q^{45} +(-0.563360 - 5.36001i) q^{46} +(-1.75279 - 4.56618i) q^{47} +(2.15012 + 1.09554i) q^{48} +(-3.15699 - 6.24767i) q^{49} +(5.19126 + 4.40208i) q^{50} +(0.326580 + 0.565653i) q^{51} +(0.548302 + 0.844311i) q^{52} +(-5.55763 + 6.86310i) q^{53} +(-4.53742 - 2.02019i) q^{54} +(-7.90099 + 1.58614i) q^{55} +(7.13877 + 2.97101i) q^{56} +(2.07155 - 2.07155i) q^{57} +(7.28903 - 5.90254i) q^{58} +(1.85136 + 2.05614i) q^{59} +(-0.212088 - 0.0360572i) q^{60} +(2.72091 + 2.44992i) q^{61} +(7.50992 - 3.82650i) q^{62} +(-6.40843 - 2.28145i) q^{63} +(-8.08219 + 2.62606i) q^{64} +(11.7989 + 9.77780i) q^{65} +(-2.38775 + 2.14994i) q^{66} +(5.05490 - 13.1685i) q^{67} +(-0.141515 - 0.0379187i) q^{68} +(2.09773 + 1.52409i) q^{69} +(8.01976 + 0.736170i) q^{70} +(-7.11767 + 5.17129i) q^{71} +(7.01501 - 2.69281i) q^{72} +(-4.33954 + 2.81813i) q^{73} +(-3.57586 - 2.06452i) q^{74} +(-3.24507 + 0.438908i) q^{75} +0.657126i q^{76} +(-6.57512 + 6.90549i) q^{77} +(6.03451 + 0.955772i) q^{78} +(-0.406571 + 0.913173i) q^{79} +(-6.71993 + 4.76702i) q^{80} +(-4.86340 + 2.16533i) q^{81} +(-2.12032 + 7.91313i) q^{82} +(-13.6728 + 2.16555i) q^{83} +(-0.229934 + 0.109200i) q^{84} +(-2.22817 + 0.0914934i) q^{85} +(-3.97744 + 4.41740i) q^{86} +(-0.236161 + 4.50622i) q^{87} +(0.551236 - 10.5182i) q^{88} +(1.15288 - 1.28040i) q^{89} +(6.13744 - 4.85600i) q^{90} +(18.0731 + 1.45289i) q^{91} +(-0.574448 + 0.0909836i) q^{92} +(-1.04952 + 3.91687i) q^{93} +(6.08249 - 2.70810i) q^{94} +(2.98303 + 9.54724i) q^{95} +(0.220905 - 0.496160i) q^{96} +(13.1356 + 2.08048i) q^{97} +(8.26829 - 4.73679i) q^{98} +9.26597i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 288 q - 8 q^{2} - 24 q^{3} - 10 q^{4} - 30 q^{5} - 10 q^{7} - 36 q^{8} - 10 q^{9} + O(q^{10}) \) \( 288 q - 8 q^{2} - 24 q^{3} - 10 q^{4} - 30 q^{5} - 10 q^{7} - 36 q^{8} - 10 q^{9} - 36 q^{10} - 6 q^{11} - 36 q^{12} - 20 q^{14} - 28 q^{15} - 30 q^{16} - 42 q^{17} - 14 q^{18} - 30 q^{19} - 12 q^{21} + 32 q^{22} - 40 q^{23} + 2 q^{25} - 48 q^{26} + 22 q^{28} - 58 q^{30} - 18 q^{31} + 8 q^{32} - 30 q^{33} - 2 q^{35} + 40 q^{36} - 10 q^{37} + 72 q^{38} + 30 q^{39} - 48 q^{40} + 6 q^{42} - 108 q^{43} - 10 q^{44} + 186 q^{45} - 6 q^{46} - 54 q^{47} - 248 q^{50} - 16 q^{51} + 216 q^{52} + 50 q^{53} - 30 q^{54} + 4 q^{56} - 216 q^{57} - 4 q^{58} + 90 q^{59} + 96 q^{60} - 18 q^{61} - 66 q^{63} - 100 q^{64} + 14 q^{65} - 90 q^{66} + 4 q^{67} + 342 q^{68} - 60 q^{70} - 24 q^{71} + 58 q^{72} - 6 q^{73} + 216 q^{75} - 80 q^{77} - 132 q^{78} - 10 q^{79} - 6 q^{80} - 10 q^{81} + 216 q^{82} + 20 q^{84} - 48 q^{85} - 6 q^{86} - 48 q^{87} - 122 q^{88} + 120 q^{89} - 12 q^{91} - 4 q^{92} + 106 q^{93} - 30 q^{94} - 98 q^{95} - 90 q^{96} + 222 q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{3}{20}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0712442 + 1.35942i 0.0503772 + 0.961255i 0.900550 + 0.434752i \(0.143164\pi\)
−0.850173 + 0.526503i \(0.823503\pi\)
\(3\) −0.508971 0.412156i −0.293854 0.237959i 0.471044 0.882110i \(-0.343877\pi\)
−0.764898 + 0.644151i \(0.777211\pi\)
\(4\) 0.146098 0.0153555i 0.0730488 0.00767773i
\(5\) 2.05291 0.886307i 0.918091 0.396369i
\(6\) 0.524032 0.721269i 0.213935 0.294457i
\(7\) 1.38618 2.25355i 0.523928 0.851763i
\(8\) 0.457187 + 2.88657i 0.161640 + 1.02055i
\(9\) −0.534557 2.51489i −0.178186 0.838297i
\(10\) 1.35112 + 2.72763i 0.427262 + 0.862552i
\(11\) −3.52517 0.749298i −1.06288 0.225922i −0.356891 0.934146i \(-0.616163\pi\)
−0.705988 + 0.708224i \(0.749497\pi\)
\(12\) −0.0806882 0.0523996i −0.0232927 0.0151264i
\(13\) 3.11121 + 6.10609i 0.862894 + 1.69352i 0.708730 + 0.705480i \(0.249268\pi\)
0.154164 + 0.988045i \(0.450732\pi\)
\(14\) 3.16228 + 1.72385i 0.845155 + 0.460719i
\(15\) −1.41017 0.395017i −0.364105 0.101993i
\(16\) −3.60410 + 0.766075i −0.901024 + 0.191519i
\(17\) −0.931067 0.357403i −0.225817 0.0866830i 0.242829 0.970069i \(-0.421925\pi\)
−0.468646 + 0.883386i \(0.655258\pi\)
\(18\) 3.38071 0.905858i 0.796841 0.213513i
\(19\) −0.467578 + 4.44871i −0.107270 + 1.02060i 0.799984 + 0.600021i \(0.204841\pi\)
−0.907254 + 0.420583i \(0.861825\pi\)
\(20\) 0.286316 0.161011i 0.0640222 0.0360031i
\(21\) −1.63434 + 0.575668i −0.356643 + 0.125621i
\(22\) 0.767463 4.84557i 0.163624 1.03308i
\(23\) −3.95372 + 0.207206i −0.824409 + 0.0432054i −0.459874 0.887984i \(-0.652105\pi\)
−0.364535 + 0.931190i \(0.618772\pi\)
\(24\) 0.957022 1.65761i 0.195351 0.338358i
\(25\) 3.42892 3.63903i 0.685784 0.727805i
\(26\) −8.07908 + 4.66446i −1.58444 + 0.914776i
\(27\) −1.65644 + 3.25095i −0.318782 + 0.625646i
\(28\) 0.167914 0.350524i 0.0317327 0.0662428i
\(29\) −4.04983 5.57411i −0.752034 1.03509i −0.997835 0.0657661i \(-0.979051\pi\)
0.245801 0.969320i \(-0.420949\pi\)
\(30\) 0.436528 1.94516i 0.0796987 0.355135i
\(31\) −2.51836 5.65634i −0.452312 1.01591i −0.985463 0.169889i \(-0.945659\pi\)
0.533152 0.846020i \(-0.321008\pi\)
\(32\) 0.214634 + 0.801024i 0.0379422 + 0.141602i
\(33\) 1.48538 + 1.83429i 0.258572 + 0.319310i
\(34\) 0.419528 1.29117i 0.0719484 0.221434i
\(35\) 0.848377 5.85493i 0.143402 0.989665i
\(36\) −0.116715 0.359211i −0.0194525 0.0598685i
\(37\) −1.65200 + 2.54385i −0.271587 + 0.418207i −0.947978 0.318336i \(-0.896876\pi\)
0.676391 + 0.736542i \(0.263543\pi\)
\(38\) −6.08098 0.318691i −0.986465 0.0516984i
\(39\) 0.933150 4.39013i 0.149424 0.702983i
\(40\) 3.49695 + 5.52066i 0.552916 + 0.872894i
\(41\) 5.72350 + 1.85968i 0.893861 + 0.290433i 0.719701 0.694285i \(-0.244279\pi\)
0.174160 + 0.984717i \(0.444279\pi\)
\(42\) −0.899011 2.18074i −0.138720 0.336496i
\(43\) 3.08766 + 3.08766i 0.470863 + 0.470863i 0.902194 0.431331i \(-0.141956\pi\)
−0.431331 + 0.902194i \(0.641956\pi\)
\(44\) −0.526525 0.0553400i −0.0793766 0.00834282i
\(45\) −3.32637 4.68908i −0.495865 0.699006i
\(46\) −0.563360 5.36001i −0.0830628 0.790290i
\(47\) −1.75279 4.56618i −0.255671 0.666046i 0.744327 0.667815i \(-0.232770\pi\)
−0.999998 + 0.00176869i \(0.999437\pi\)
\(48\) 2.15012 + 1.09554i 0.310344 + 0.158128i
\(49\) −3.15699 6.24767i −0.450999 0.892525i
\(50\) 5.19126 + 4.40208i 0.734154 + 0.622548i
\(51\) 0.326580 + 0.565653i 0.0457303 + 0.0792072i
\(52\) 0.548302 + 0.844311i 0.0760358 + 0.117085i
\(53\) −5.55763 + 6.86310i −0.763399 + 0.942719i −0.999580 0.0289903i \(-0.990771\pi\)
0.236181 + 0.971709i \(0.424104\pi\)
\(54\) −4.53742 2.02019i −0.617464 0.274913i
\(55\) −7.90099 + 1.58614i −1.06537 + 0.213875i
\(56\) 7.13877 + 2.97101i 0.953958 + 0.397018i
\(57\) 2.07155 2.07155i 0.274383 0.274383i
\(58\) 7.28903 5.90254i 0.957097 0.775042i
\(59\) 1.85136 + 2.05614i 0.241027 + 0.267687i 0.851506 0.524345i \(-0.175690\pi\)
−0.610479 + 0.792032i \(0.709023\pi\)
\(60\) −0.212088 0.0360572i −0.0273805 0.00465497i
\(61\) 2.72091 + 2.44992i 0.348377 + 0.313680i 0.824678 0.565602i \(-0.191356\pi\)
−0.476301 + 0.879282i \(0.658023\pi\)
\(62\) 7.50992 3.82650i 0.953761 0.485965i
\(63\) −6.40843 2.28145i −0.807387 0.287436i
\(64\) −8.08219 + 2.62606i −1.01027 + 0.328258i
\(65\) 11.7989 + 9.77780i 1.46348 + 1.21279i
\(66\) −2.38775 + 2.14994i −0.293912 + 0.264639i
\(67\) 5.05490 13.1685i 0.617554 1.60878i −0.165065 0.986283i \(-0.552783\pi\)
0.782619 0.622501i \(-0.213883\pi\)
\(68\) −0.141515 0.0379187i −0.0171612 0.00459832i
\(69\) 2.09773 + 1.52409i 0.252537 + 0.183479i
\(70\) 8.01976 + 0.736170i 0.958544 + 0.0879891i
\(71\) −7.11767 + 5.17129i −0.844711 + 0.613719i −0.923683 0.383158i \(-0.874836\pi\)
0.0789713 + 0.996877i \(0.474836\pi\)
\(72\) 7.01501 2.69281i 0.826726 0.317351i
\(73\) −4.33954 + 2.81813i −0.507905 + 0.329837i −0.773022 0.634379i \(-0.781256\pi\)
0.265118 + 0.964216i \(0.414589\pi\)
\(74\) −3.57586 2.06452i −0.415685 0.239996i
\(75\) −3.24507 + 0.438908i −0.374708 + 0.0506807i
\(76\) 0.657126i 0.0753775i
\(77\) −6.57512 + 6.90549i −0.749304 + 0.786954i
\(78\) 6.03451 + 0.955772i 0.683273 + 0.108220i
\(79\) −0.406571 + 0.913173i −0.0457428 + 0.102740i −0.934971 0.354723i \(-0.884575\pi\)
0.889229 + 0.457463i \(0.151242\pi\)
\(80\) −6.71993 + 4.76702i −0.751311 + 0.532970i
\(81\) −4.86340 + 2.16533i −0.540378 + 0.240592i
\(82\) −2.12032 + 7.91313i −0.234150 + 0.873859i
\(83\) −13.6728 + 2.16555i −1.50078 + 0.237700i −0.852108 0.523366i \(-0.824676\pi\)
−0.648674 + 0.761067i \(0.724676\pi\)
\(84\) −0.229934 + 0.109200i −0.0250878 + 0.0119147i
\(85\) −2.22817 + 0.0914934i −0.241679 + 0.00992386i
\(86\) −3.97744 + 4.41740i −0.428899 + 0.476340i
\(87\) −0.236161 + 4.50622i −0.0253191 + 0.483118i
\(88\) 0.551236 10.5182i 0.0587620 1.12124i
\(89\) 1.15288 1.28040i 0.122205 0.135722i −0.678938 0.734196i \(-0.737559\pi\)
0.801142 + 0.598474i \(0.204226\pi\)
\(90\) 6.13744 4.85600i 0.646943 0.511867i
\(91\) 18.0731 + 1.45289i 1.89458 + 0.152304i
\(92\) −0.574448 + 0.0909836i −0.0598903 + 0.00948569i
\(93\) −1.04952 + 3.91687i −0.108830 + 0.406161i
\(94\) 6.08249 2.70810i 0.627360 0.279319i
\(95\) 2.98303 + 9.54724i 0.306052 + 0.979527i
\(96\) 0.220905 0.496160i 0.0225460 0.0506391i
\(97\) 13.1356 + 2.08048i 1.33372 + 0.211240i 0.782255 0.622958i \(-0.214069\pi\)
0.551464 + 0.834198i \(0.314069\pi\)
\(98\) 8.26829 4.73679i 0.835224 0.478488i
\(99\) 9.26597i 0.931265i
\(100\) 0.445078 0.584306i 0.0445078 0.0584306i
\(101\) 7.91198 + 4.56798i 0.787271 + 0.454531i 0.839001 0.544130i \(-0.183140\pi\)
−0.0517297 + 0.998661i \(0.516473\pi\)
\(102\) −0.745693 + 0.484259i −0.0738346 + 0.0479487i
\(103\) 5.86959 2.25312i 0.578347 0.222007i −0.0515693 0.998669i \(-0.516422\pi\)
0.629917 + 0.776663i \(0.283089\pi\)
\(104\) −16.2032 + 11.7723i −1.58886 + 1.15437i
\(105\) −2.84495 + 2.63033i −0.277638 + 0.256694i
\(106\) −9.72578 7.06619i −0.944651 0.686329i
\(107\) −6.62424 1.77496i −0.640389 0.171592i −0.0760096 0.997107i \(-0.524218\pi\)
−0.564380 + 0.825515i \(0.690885\pi\)
\(108\) −0.192082 + 0.500391i −0.0184831 + 0.0481502i
\(109\) 9.51892 8.57087i 0.911747 0.820940i −0.0725677 0.997363i \(-0.523119\pi\)
0.984314 + 0.176423i \(0.0564527\pi\)
\(110\) −2.71913 10.6278i −0.259259 1.01332i
\(111\) 1.88928 0.613866i 0.179323 0.0582655i
\(112\) −3.26955 + 9.18394i −0.308944 + 0.867801i
\(113\) 8.69911 4.43242i 0.818343 0.416967i 0.00588239 0.999983i \(-0.498128\pi\)
0.812461 + 0.583016i \(0.198128\pi\)
\(114\) 2.96369 + 2.66852i 0.277575 + 0.249930i
\(115\) −7.93301 + 3.92959i −0.739757 + 0.366436i
\(116\) −0.677263 0.752177i −0.0628823 0.0698379i
\(117\) 13.6930 11.0884i 1.26592 1.02512i
\(118\) −2.66326 + 2.66326i −0.245173 + 0.245173i
\(119\) −2.09606 + 1.60278i −0.192145 + 0.146927i
\(120\) 0.495532 4.25115i 0.0452356 0.388075i
\(121\) 1.81639 + 0.808709i 0.165126 + 0.0735190i
\(122\) −3.13662 + 3.87341i −0.283976 + 0.350682i
\(123\) −2.14662 3.30550i −0.193554 0.298047i
\(124\) −0.454783 0.787707i −0.0408407 0.0707381i
\(125\) 3.81398 10.5097i 0.341133 0.940015i
\(126\) 2.64488 8.87429i 0.235625 0.790584i
\(127\) −4.29960 2.19076i −0.381528 0.194398i 0.252699 0.967545i \(-0.418682\pi\)
−0.634227 + 0.773147i \(0.718682\pi\)
\(128\) −3.55136 9.25160i −0.313898 0.817733i
\(129\) −0.298930 2.84413i −0.0263193 0.250411i
\(130\) −12.4515 + 16.7363i −1.09207 + 1.46787i
\(131\) 12.0485 + 1.26635i 1.05268 + 0.110641i 0.615030 0.788504i \(-0.289144\pi\)
0.437651 + 0.899145i \(0.355810\pi\)
\(132\) 0.245177 + 0.245177i 0.0213399 + 0.0213399i
\(133\) 9.37725 + 7.22044i 0.813111 + 0.626092i
\(134\) 18.2616 + 5.93355i 1.57756 + 0.512581i
\(135\) −0.519192 + 8.14204i −0.0446850 + 0.700755i
\(136\) 0.605996 2.85098i 0.0519637 0.244470i
\(137\) 5.85847 + 0.307030i 0.500523 + 0.0262313i 0.300928 0.953647i \(-0.402704\pi\)
0.199596 + 0.979878i \(0.436037\pi\)
\(138\) −1.92243 + 2.96028i −0.163648 + 0.251996i
\(139\) −2.24141 6.89834i −0.190114 0.585110i 0.809885 0.586588i \(-0.199529\pi\)
−0.999999 + 0.00147871i \(0.999529\pi\)
\(140\) 0.0340405 0.868419i 0.00287694 0.0733948i
\(141\) −0.989861 + 3.04648i −0.0833614 + 0.256560i
\(142\) −7.53704 9.30747i −0.632494 0.781066i
\(143\) −6.39226 23.8562i −0.534548 1.99496i
\(144\) 3.85319 + 8.65440i 0.321099 + 0.721200i
\(145\) −13.2543 7.85378i −1.10071 0.652221i
\(146\) −4.14019 5.69848i −0.342644 0.471610i
\(147\) −0.968202 + 4.48106i −0.0798559 + 0.369591i
\(148\) −0.202291 + 0.397018i −0.0166282 + 0.0326347i
\(149\) 9.32624 5.38451i 0.764035 0.441116i −0.0667075 0.997773i \(-0.521249\pi\)
0.830743 + 0.556657i \(0.187916\pi\)
\(150\) −0.827852 4.38014i −0.0675939 0.357637i
\(151\) −0.720397 + 1.24776i −0.0586251 + 0.101542i −0.893848 0.448369i \(-0.852005\pi\)
0.835223 + 0.549911i \(0.185338\pi\)
\(152\) −13.0553 + 0.684198i −1.05892 + 0.0554957i
\(153\) −0.401122 + 2.53258i −0.0324288 + 0.204747i
\(154\) −9.85590 8.44637i −0.794211 0.680628i
\(155\) −10.1832 9.37994i −0.817938 0.753415i
\(156\) 0.0689185 0.655716i 0.00551790 0.0524993i
\(157\) −14.6975 + 3.93818i −1.17299 + 0.314301i −0.792141 0.610338i \(-0.791034\pi\)
−0.380846 + 0.924639i \(0.624367\pi\)
\(158\) −1.27035 0.487642i −0.101064 0.0387947i
\(159\) 5.65734 1.20250i 0.448656 0.0953648i
\(160\) 1.15058 + 1.45420i 0.0909611 + 0.114965i
\(161\) −5.01364 + 9.19715i −0.395130 + 0.724837i
\(162\) −3.29008 6.45714i −0.258493 0.507321i
\(163\) 12.7778 + 8.29798i 1.00083 + 0.649948i 0.937478 0.348044i \(-0.113154\pi\)
0.0633532 + 0.997991i \(0.479821\pi\)
\(164\) 0.864745 + 0.183807i 0.0675253 + 0.0143529i
\(165\) 4.67511 + 2.44914i 0.363957 + 0.190666i
\(166\) −3.91800 18.4327i −0.304096 1.43066i
\(167\) 0.913290 + 5.76628i 0.0706725 + 0.446208i 0.997497 + 0.0707130i \(0.0225274\pi\)
−0.926824 + 0.375495i \(0.877473\pi\)
\(168\) −2.40890 4.45445i −0.185851 0.343668i
\(169\) −19.9635 + 27.4774i −1.53566 + 2.11365i
\(170\) −0.283122 3.02250i −0.0217145 0.231815i
\(171\) 11.4380 1.20218i 0.874684 0.0919330i
\(172\) 0.498512 + 0.403687i 0.0380111 + 0.0307808i
\(173\) −0.0427033 0.814828i −0.00324667 0.0619502i 0.996526 0.0832859i \(-0.0265415\pi\)
−0.999772 + 0.0213357i \(0.993208\pi\)
\(174\) −6.14267 −0.465675
\(175\) −3.44763 12.7716i −0.260616 0.965443i
\(176\) 13.2791 1.00095
\(177\) −0.0948354 1.80957i −0.00712827 0.136015i
\(178\) 1.82274 + 1.47602i 0.136620 + 0.110633i
\(179\) 1.96641 0.206678i 0.146976 0.0154478i −0.0307546 0.999527i \(-0.509791\pi\)
0.177731 + 0.984079i \(0.443124\pi\)
\(180\) −0.557977 0.633985i −0.0415891 0.0472544i
\(181\) 4.55620 6.27107i 0.338660 0.466125i −0.605390 0.795929i \(-0.706983\pi\)
0.944049 + 0.329804i \(0.106983\pi\)
\(182\) −0.687487 + 24.6724i −0.0509599 + 1.82884i
\(183\) −0.375115 2.36838i −0.0277293 0.175076i
\(184\) −2.40570 11.3180i −0.177351 0.834370i
\(185\) −1.13677 + 6.68649i −0.0835773 + 0.491601i
\(186\) −5.39945 1.14769i −0.395907 0.0841525i
\(187\) 3.01437 + 1.95755i 0.220432 + 0.143151i
\(188\) −0.326195 0.640193i −0.0237902 0.0466909i
\(189\) 5.03005 + 8.23929i 0.365882 + 0.599320i
\(190\) −12.7662 + 4.73537i −0.926157 + 0.343540i
\(191\) −1.25696 + 0.267176i −0.0909508 + 0.0193322i −0.253162 0.967424i \(-0.581471\pi\)
0.162211 + 0.986756i \(0.448137\pi\)
\(192\) 5.19595 + 1.99454i 0.374985 + 0.143943i
\(193\) −14.0029 + 3.75206i −1.00795 + 0.270080i −0.724773 0.688988i \(-0.758055\pi\)
−0.283178 + 0.959067i \(0.591389\pi\)
\(194\) −1.89241 + 18.0050i −0.135867 + 1.29269i
\(195\) −1.97532 9.83961i −0.141456 0.704629i
\(196\) −0.557165 0.864292i −0.0397975 0.0617352i
\(197\) 2.25387 14.2303i 0.160581 1.01387i −0.767380 0.641193i \(-0.778440\pi\)
0.927961 0.372677i \(-0.121560\pi\)
\(198\) −12.5963 + 0.660146i −0.895183 + 0.0469145i
\(199\) −1.05487 + 1.82709i −0.0747779 + 0.129519i −0.900990 0.433841i \(-0.857158\pi\)
0.826212 + 0.563360i \(0.190491\pi\)
\(200\) 12.0719 + 8.23408i 0.853616 + 0.582237i
\(201\) −8.00026 + 4.61895i −0.564295 + 0.325796i
\(202\) −5.64612 + 11.0811i −0.397260 + 0.779667i
\(203\) −18.1754 + 1.39976i −1.27566 + 0.0982438i
\(204\) 0.0563984 + 0.0776257i 0.00394868 + 0.00543489i
\(205\) 13.3981 1.25502i 0.935764 0.0876544i
\(206\) 3.48111 + 7.81871i 0.242541 + 0.544755i
\(207\) 2.63459 + 9.83243i 0.183117 + 0.683401i
\(208\) −15.8908 19.6235i −1.10183 1.36065i
\(209\) 4.98171 15.3321i 0.344592 1.06054i
\(210\) −3.77840 3.68008i −0.260735 0.253950i
\(211\) −2.58367 7.95173i −0.177867 0.547420i 0.821885 0.569653i \(-0.192922\pi\)
−0.999753 + 0.0222332i \(0.992922\pi\)
\(212\) −0.706569 + 1.08802i −0.0485274 + 0.0747256i
\(213\) 5.75406 + 0.301558i 0.394262 + 0.0206624i
\(214\) 1.94098 9.13158i 0.132682 0.624222i
\(215\) 9.07531 + 3.60208i 0.618931 + 0.245660i
\(216\) −10.1414 3.29513i −0.690034 0.224206i
\(217\) −16.2378 2.16546i −1.10229 0.147001i
\(218\) 12.3296 + 12.3296i 0.835064 + 0.835064i
\(219\) 3.37021 + 0.354223i 0.227738 + 0.0239362i
\(220\) −1.12996 + 0.353055i −0.0761818 + 0.0238029i
\(221\) −0.714408 6.79713i −0.0480562 0.457225i
\(222\) 0.969101 + 2.52460i 0.0650418 + 0.169440i
\(223\) 9.17376 + 4.67427i 0.614321 + 0.313012i 0.733321 0.679882i \(-0.237969\pi\)
−0.119001 + 0.992894i \(0.537969\pi\)
\(224\) 2.10267 + 0.626678i 0.140491 + 0.0418717i
\(225\) −10.9847 6.67809i −0.732314 0.445206i
\(226\) 6.64527 + 11.5100i 0.442037 + 0.765631i
\(227\) 2.84858 + 4.38643i 0.189067 + 0.291138i 0.920474 0.390803i \(-0.127803\pi\)
−0.731407 + 0.681941i \(0.761136\pi\)
\(228\) 0.270839 0.334458i 0.0179367 0.0221500i
\(229\) 22.0154 + 9.80188i 1.45482 + 0.647727i 0.973472 0.228804i \(-0.0734816\pi\)
0.481346 + 0.876531i \(0.340148\pi\)
\(230\) −5.90715 10.5043i −0.389506 0.692635i
\(231\) 6.19269 0.804717i 0.407449 0.0529465i
\(232\) 14.2385 14.2385i 0.934804 0.934804i
\(233\) 7.93033 6.42185i 0.519533 0.420709i −0.333357 0.942801i \(-0.608181\pi\)
0.852890 + 0.522091i \(0.174848\pi\)
\(234\) 16.0493 + 17.8246i 1.04918 + 1.16523i
\(235\) −7.64538 7.82047i −0.498730 0.510151i
\(236\) 0.302052 + 0.271969i 0.0196619 + 0.0177037i
\(237\) 0.583303 0.297208i 0.0378896 0.0193057i
\(238\) −2.32818 2.73523i −0.150914 0.177299i
\(239\) 27.2863 8.86585i 1.76500 0.573484i 0.767303 0.641284i \(-0.221598\pi\)
0.997699 + 0.0678002i \(0.0215981\pi\)
\(240\) 5.38501 + 0.343385i 0.347601 + 0.0221654i
\(241\) 6.01914 5.41966i 0.387727 0.349111i −0.452098 0.891968i \(-0.649324\pi\)
0.839825 + 0.542857i \(0.182658\pi\)
\(242\) −0.969968 + 2.52685i −0.0623519 + 0.162432i
\(243\) 13.9407 + 3.73540i 0.894296 + 0.239626i
\(244\) 0.435138 + 0.316147i 0.0278569 + 0.0202392i
\(245\) −12.0184 10.0279i −0.767827 0.640657i
\(246\) 4.34063 3.15365i 0.276748 0.201069i
\(247\) −28.6190 + 10.9858i −1.82098 + 0.699009i
\(248\) 15.1760 9.85543i 0.963679 0.625820i
\(249\) 7.85159 + 4.53312i 0.497574 + 0.287275i
\(250\) 14.5588 + 4.43604i 0.920779 + 0.280560i
\(251\) 14.7687i 0.932189i −0.884735 0.466095i \(-0.845661\pi\)
0.884735 0.466095i \(-0.154339\pi\)
\(252\) −0.971289 0.234910i −0.0611854 0.0147979i
\(253\) 14.0928 + 2.23208i 0.886008 + 0.140330i
\(254\) 2.67184 6.00104i 0.167646 0.376539i
\(255\) 1.17178 + 0.871787i 0.0733799 + 0.0545934i
\(256\) −3.20304 + 1.42609i −0.200190 + 0.0891304i
\(257\) −1.95215 + 7.28553i −0.121772 + 0.454459i −0.999704 0.0243262i \(-0.992256\pi\)
0.877932 + 0.478785i \(0.158923\pi\)
\(258\) 3.84506 0.608998i 0.239383 0.0379146i
\(259\) 3.44273 + 7.24911i 0.213921 + 0.450438i
\(260\) 1.87394 + 1.24733i 0.116217 + 0.0773564i
\(261\) −11.8534 + 13.1646i −0.733708 + 0.814866i
\(262\) −0.863113 + 16.4692i −0.0533233 + 1.01747i
\(263\) −0.938971 + 17.9166i −0.0578994 + 1.10479i 0.802989 + 0.595994i \(0.203242\pi\)
−0.860889 + 0.508794i \(0.830092\pi\)
\(264\) −4.61571 + 5.12627i −0.284077 + 0.315500i
\(265\) −5.32652 + 19.0151i −0.327205 + 1.16809i
\(266\) −9.14754 + 13.2620i −0.560871 + 0.813148i
\(267\) −1.11451 + 0.176520i −0.0682066 + 0.0108029i
\(268\) 0.536300 2.00150i 0.0327598 0.122261i
\(269\) 14.9039 6.63566i 0.908708 0.404583i 0.101490 0.994837i \(-0.467639\pi\)
0.807218 + 0.590253i \(0.200972\pi\)
\(270\) −11.1054 0.125728i −0.675855 0.00765154i
\(271\) 1.54742 3.47556i 0.0939989 0.211125i −0.860427 0.509575i \(-0.829803\pi\)
0.954425 + 0.298450i \(0.0964695\pi\)
\(272\) 3.62945 + 0.574849i 0.220068 + 0.0348553i
\(273\) −8.59986 8.18842i −0.520487 0.495586i
\(274\) 7.98600i 0.482452i
\(275\) −14.8142 + 10.2589i −0.893333 + 0.618636i
\(276\) 0.329877 + 0.190454i 0.0198562 + 0.0114640i
\(277\) −5.63237 + 3.65771i −0.338417 + 0.219770i −0.702647 0.711539i \(-0.747999\pi\)
0.364230 + 0.931309i \(0.381332\pi\)
\(278\) 9.21805 3.53848i 0.552862 0.212224i
\(279\) −12.8789 + 9.35705i −0.771038 + 0.560192i
\(280\) 17.2885 0.227906i 1.03319 0.0136200i
\(281\) −2.64391 1.92091i −0.157723 0.114592i 0.506125 0.862460i \(-0.331078\pi\)
−0.663847 + 0.747868i \(0.731078\pi\)
\(282\) −4.21197 1.12859i −0.250819 0.0672067i
\(283\) −1.78630 + 4.65348i −0.106185 + 0.276621i −0.976371 0.216103i \(-0.930665\pi\)
0.870186 + 0.492724i \(0.163999\pi\)
\(284\) −0.960466 + 0.864807i −0.0569932 + 0.0513169i
\(285\) 2.41668 6.08874i 0.143152 0.360666i
\(286\) 31.9752 10.3894i 1.89074 0.614337i
\(287\) 12.1247 10.3203i 0.715698 0.609191i
\(288\) 1.89975 0.967973i 0.111944 0.0570383i
\(289\) −11.8943 10.7097i −0.699666 0.629982i
\(290\) 9.73229 18.5777i 0.571500 1.09092i
\(291\) −5.82816 6.47283i −0.341653 0.379444i
\(292\) −0.590722 + 0.478358i −0.0345694 + 0.0279938i
\(293\) −10.3729 + 10.3729i −0.605994 + 0.605994i −0.941897 0.335903i \(-0.890959\pi\)
0.335903 + 0.941897i \(0.390959\pi\)
\(294\) −6.16062 0.996944i −0.359294 0.0581429i
\(295\) 5.62306 + 2.58021i 0.327387 + 0.150226i
\(296\) −8.09827 3.60558i −0.470702 0.209570i
\(297\) 8.27517 10.2190i 0.480174 0.592966i
\(298\) 7.98424 + 12.2947i 0.462515 + 0.712210i
\(299\) −13.5661 23.4971i −0.784547 1.35887i
\(300\) −0.467357 + 0.113953i −0.0269829 + 0.00657908i
\(301\) 11.2383 2.67814i 0.647762 0.154365i
\(302\) −1.74756 0.890426i −0.100561 0.0512383i
\(303\) −2.14424 5.58594i −0.123184 0.320904i
\(304\) −1.72285 16.3918i −0.0988120 0.940134i
\(305\) 7.75719 + 2.61791i 0.444175 + 0.149901i
\(306\) −3.47142 0.364861i −0.198448 0.0208577i
\(307\) 3.13382 + 3.13382i 0.178857 + 0.178857i 0.790857 0.612001i \(-0.209635\pi\)
−0.612001 + 0.790857i \(0.709635\pi\)
\(308\) −0.854571 + 1.10984i −0.0486937 + 0.0632390i
\(309\) −3.91609 1.27241i −0.222778 0.0723851i
\(310\) 12.0258 14.5116i 0.683018 0.824202i
\(311\) 1.08865 5.12170i 0.0617318 0.290425i −0.936443 0.350820i \(-0.885903\pi\)
0.998175 + 0.0603952i \(0.0192361\pi\)
\(312\) 13.0990 + 0.686490i 0.741586 + 0.0388649i
\(313\) −4.36337 + 6.71899i −0.246632 + 0.379780i −0.940207 0.340605i \(-0.889368\pi\)
0.693575 + 0.720385i \(0.256035\pi\)
\(314\) −6.40075 19.6995i −0.361215 1.11171i
\(315\) −15.1780 + 0.996219i −0.855185 + 0.0561306i
\(316\) −0.0453768 + 0.139655i −0.00255264 + 0.00785623i
\(317\) 3.99830 + 4.93748i 0.224567 + 0.277317i 0.876960 0.480564i \(-0.159568\pi\)
−0.652393 + 0.757881i \(0.726235\pi\)
\(318\) 2.03776 + 7.60503i 0.114272 + 0.426469i
\(319\) 10.0997 + 22.6842i 0.565473 + 1.27007i
\(320\) −14.2645 + 12.5544i −0.797413 + 0.701812i
\(321\) 2.63998 + 3.63363i 0.147350 + 0.202809i
\(322\) −12.8600 6.16040i −0.716659 0.343305i
\(323\) 2.02533 3.97493i 0.112692 0.221171i
\(324\) −0.677282 + 0.391029i −0.0376268 + 0.0217238i
\(325\) 32.8883 + 9.61551i 1.82432 + 0.533373i
\(326\) −10.3701 + 17.9615i −0.574346 + 0.994797i
\(327\) −8.37739 + 0.439040i −0.463271 + 0.0242790i
\(328\) −2.75137 + 17.3715i −0.151919 + 0.959179i
\(329\) −12.7198 2.37956i −0.701267 0.131189i
\(330\) −2.99634 + 6.52992i −0.164943 + 0.359460i
\(331\) −2.19682 + 20.9013i −0.120748 + 1.14884i 0.751485 + 0.659750i \(0.229338\pi\)
−0.872233 + 0.489090i \(0.837329\pi\)
\(332\) −1.96430 + 0.526334i −0.107805 + 0.0288863i
\(333\) 7.28060 + 2.79476i 0.398974 + 0.153152i
\(334\) −7.77373 + 1.65236i −0.425360 + 0.0904130i
\(335\) −1.29403 31.5139i −0.0707004 1.72179i
\(336\) 5.44933 3.32679i 0.297285 0.181491i
\(337\) 4.24522 + 8.33171i 0.231252 + 0.453857i 0.977250 0.212091i \(-0.0680273\pi\)
−0.745998 + 0.665948i \(0.768027\pi\)
\(338\) −38.7756 25.1812i −2.10912 1.36968i
\(339\) −6.25444 1.32942i −0.339695 0.0722043i
\(340\) −0.324125 + 0.0475816i −0.0175782 + 0.00258047i
\(341\) 4.63938 + 21.8266i 0.251237 + 1.18198i
\(342\) 2.44916 + 15.4634i 0.132435 + 0.836163i
\(343\) −18.4556 1.54598i −0.996510 0.0834748i
\(344\) −7.50109 + 10.3244i −0.404432 + 0.556652i
\(345\) 5.65728 + 1.26959i 0.304578 + 0.0683527i
\(346\) 1.10465 0.116103i 0.0593864 0.00624176i
\(347\) −14.1674 11.4726i −0.760548 0.615880i 0.168558 0.985692i \(-0.446089\pi\)
−0.929107 + 0.369812i \(0.879422\pi\)
\(348\) 0.0346926 + 0.661974i 0.00185972 + 0.0354856i
\(349\) −20.7570 −1.11110 −0.555548 0.831484i \(-0.687491\pi\)
−0.555548 + 0.831484i \(0.687491\pi\)
\(350\) 17.1163 5.59668i 0.914907 0.299155i
\(351\) −25.0041 −1.33462
\(352\) −0.156415 2.98457i −0.00833693 0.159078i
\(353\) −14.5749 11.8025i −0.775742 0.628183i 0.157464 0.987525i \(-0.449668\pi\)
−0.933206 + 0.359341i \(0.883001\pi\)
\(354\) 2.45321 0.257842i 0.130386 0.0137042i
\(355\) −10.0286 + 16.9247i −0.532263 + 0.898267i
\(356\) 0.148771 0.204766i 0.00788486 0.0108526i
\(357\) 1.72743 + 0.0481340i 0.0914252 + 0.00254752i
\(358\) 0.421057 + 2.65845i 0.0222535 + 0.140503i
\(359\) 0.468555 + 2.20438i 0.0247294 + 0.116343i 0.988781 0.149372i \(-0.0477253\pi\)
−0.964052 + 0.265715i \(0.914392\pi\)
\(360\) 12.0146 11.7456i 0.633223 0.619045i
\(361\) −0.987600 0.209921i −0.0519790 0.0110485i
\(362\) 8.84962 + 5.74701i 0.465126 + 0.302056i
\(363\) −0.591175 1.16025i −0.0310287 0.0608972i
\(364\) 2.66274 0.0652570i 0.139566 0.00342040i
\(365\) −6.41098 + 9.63155i −0.335566 + 0.504138i
\(366\) 3.19290 0.678672i 0.166895 0.0354747i
\(367\) 9.09954 + 3.49299i 0.474992 + 0.182332i 0.584074 0.811700i \(-0.301458\pi\)
−0.109082 + 0.994033i \(0.534791\pi\)
\(368\) 14.0909 3.77564i 0.734538 0.196819i
\(369\) 1.61735 15.3881i 0.0841960 0.801072i
\(370\) −9.17074 1.06898i −0.476764 0.0555736i
\(371\) 7.76245 + 22.0379i 0.403007 + 1.14415i
\(372\) −0.0931873 + 0.588361i −0.00483153 + 0.0305051i
\(373\) 2.38962 0.125235i 0.123730 0.00648441i 0.00962952 0.999954i \(-0.496935\pi\)
0.114100 + 0.993469i \(0.463601\pi\)
\(374\) −2.44638 + 4.23726i −0.126499 + 0.219103i
\(375\) −6.27284 + 3.77717i −0.323928 + 0.195052i
\(376\) 12.3792 7.14715i 0.638410 0.368586i
\(377\) 21.4362 42.0708i 1.10402 2.16676i
\(378\) −10.8423 + 7.42495i −0.557667 + 0.381898i
\(379\) −15.4544 21.2711i −0.793838 1.09262i −0.993620 0.112784i \(-0.964023\pi\)
0.199781 0.979841i \(-0.435977\pi\)
\(380\) 0.582415 + 1.34902i 0.0298773 + 0.0692034i
\(381\) 1.28544 + 2.88714i 0.0658550 + 0.147913i
\(382\) −0.452756 1.68971i −0.0231650 0.0864530i
\(383\) 0.428854 + 0.529590i 0.0219134 + 0.0270608i 0.787985 0.615695i \(-0.211124\pi\)
−0.766071 + 0.642755i \(0.777791\pi\)
\(384\) −2.00557 + 6.17251i −0.102346 + 0.314989i
\(385\) −7.37777 + 20.0040i −0.376006 + 1.01950i
\(386\) −6.09826 18.7685i −0.310393 0.955291i
\(387\) 6.11460 9.41565i 0.310822 0.478624i
\(388\) 1.95103 + 0.102249i 0.0990484 + 0.00519091i
\(389\) −5.53936 + 26.0606i −0.280857 + 1.32133i 0.580888 + 0.813984i \(0.302705\pi\)
−0.861745 + 0.507342i \(0.830628\pi\)
\(390\) 13.2354 3.38631i 0.670202 0.171472i
\(391\) 3.75524 + 1.22015i 0.189911 + 0.0617057i
\(392\) 16.5910 11.9692i 0.837971 0.604537i
\(393\) −5.61040 5.61040i −0.283007 0.283007i
\(394\) 19.5056 + 2.05012i 0.982677 + 0.103284i
\(395\) −0.0253032 + 2.23501i −0.00127314 + 0.112456i
\(396\) 0.142283 + 1.35374i 0.00715000 + 0.0680277i
\(397\) −12.0631 31.4255i −0.605430 1.57720i −0.802398 0.596789i \(-0.796443\pi\)
0.196968 0.980410i \(-0.436891\pi\)
\(398\) −2.55894 1.30384i −0.128268 0.0653558i
\(399\) −1.79680 7.53989i −0.0899523 0.377467i
\(400\) −9.57039 + 15.7422i −0.478519 + 0.787111i
\(401\) −15.1960 26.3202i −0.758852 1.31437i −0.943436 0.331553i \(-0.892427\pi\)
0.184585 0.982817i \(-0.440906\pi\)
\(402\) −6.84907 10.5466i −0.341601 0.526019i
\(403\) 26.7030 32.9754i 1.33017 1.64262i
\(404\) 1.22606 + 0.545879i 0.0609990 + 0.0271585i
\(405\) −8.06501 + 8.75570i −0.400753 + 0.435074i
\(406\) −3.19775 24.6082i −0.158702 1.22128i
\(407\) 7.72968 7.72968i 0.383146 0.383146i
\(408\) −1.48349 + 1.20130i −0.0734435 + 0.0594734i
\(409\) −13.1521 14.6068i −0.650328 0.722262i 0.324335 0.945942i \(-0.394859\pi\)
−0.974663 + 0.223680i \(0.928193\pi\)
\(410\) 2.66064 + 18.1242i 0.131399 + 0.895092i
\(411\) −2.85525 2.57088i −0.140839 0.126812i
\(412\) 0.822934 0.419306i 0.0405431 0.0206577i
\(413\) 7.19995 1.32194i 0.354286 0.0650486i
\(414\) −13.1787 + 4.28202i −0.647697 + 0.210450i
\(415\) −26.1497 + 16.5640i −1.28364 + 0.813094i
\(416\) −4.22335 + 3.80272i −0.207067 + 0.186444i
\(417\) −1.70238 + 4.43486i −0.0833661 + 0.217176i
\(418\) 21.1977 + 5.67991i 1.03681 + 0.277813i
\(419\) 18.2082 + 13.2290i 0.889527 + 0.646280i 0.935755 0.352651i \(-0.114720\pi\)
−0.0462273 + 0.998931i \(0.514720\pi\)
\(420\) −0.375250 + 0.427970i −0.0183103 + 0.0208828i
\(421\) −6.80767 + 4.94606i −0.331786 + 0.241056i −0.741188 0.671298i \(-0.765737\pi\)
0.409402 + 0.912354i \(0.365737\pi\)
\(422\) 10.6257 4.07881i 0.517250 0.198553i
\(423\) −10.5465 + 6.84897i −0.512788 + 0.333008i
\(424\) −22.3516 12.9047i −1.08549 0.626709i
\(425\) −4.49315 + 2.16267i −0.217950 + 0.104905i
\(426\) 7.84367i 0.380027i
\(427\) 9.29271 2.73568i 0.449706 0.132389i
\(428\) −0.995040 0.157599i −0.0480971 0.00761783i
\(429\) −6.57903 + 14.7767i −0.317639 + 0.713428i
\(430\) −4.25018 + 12.5938i −0.204962 + 0.607326i
\(431\) −8.08965 + 3.60175i −0.389665 + 0.173490i −0.592211 0.805783i \(-0.701745\pi\)
0.202546 + 0.979273i \(0.435078\pi\)
\(432\) 3.47951 12.9857i 0.167408 0.624775i
\(433\) −6.72335 + 1.06487i −0.323104 + 0.0511746i −0.315879 0.948799i \(-0.602300\pi\)
−0.00722408 + 0.999974i \(0.502300\pi\)
\(434\) 1.78692 22.2282i 0.0857749 1.06699i
\(435\) 3.50908 + 9.46020i 0.168248 + 0.453582i
\(436\) 1.25908 1.39835i 0.0602990 0.0669688i
\(437\) 0.926877 17.6859i 0.0443385 0.846030i
\(438\) −0.241430 + 4.60677i −0.0115360 + 0.220120i
\(439\) 6.03256 6.69983i 0.287918 0.319766i −0.581783 0.813344i \(-0.697645\pi\)
0.869701 + 0.493578i \(0.164311\pi\)
\(440\) −8.19073 22.0816i −0.390478 1.05270i
\(441\) −14.0246 + 11.2792i −0.667839 + 0.537106i
\(442\) 9.18926 1.45544i 0.437089 0.0692280i
\(443\) 3.01374 11.2474i 0.143187 0.534382i −0.856642 0.515911i \(-0.827454\pi\)
0.999829 0.0184709i \(-0.00587980\pi\)
\(444\) 0.266594 0.118695i 0.0126520 0.00563302i
\(445\) 1.23193 3.65035i 0.0583991 0.173043i
\(446\) −5.70071 + 12.8040i −0.269937 + 0.606287i
\(447\) −6.96604 1.10331i −0.329482 0.0521849i
\(448\) −5.28543 + 21.8538i −0.249713 + 1.03250i
\(449\) 6.67674i 0.315095i 0.987511 + 0.157547i \(0.0503587\pi\)
−0.987511 + 0.157547i \(0.949641\pi\)
\(450\) 8.29573 15.4086i 0.391065 0.726369i
\(451\) −18.7829 10.8443i −0.884451 0.510638i
\(452\) 1.20286 0.781144i 0.0565776 0.0367419i
\(453\) 0.880936 0.338159i 0.0413900 0.0158881i
\(454\) −5.76006 + 4.18493i −0.270333 + 0.196408i
\(455\) 38.3902 13.0357i 1.79976 0.611121i
\(456\) 6.92675 + 5.03258i 0.324375 + 0.235672i
\(457\) −5.50864 1.47604i −0.257684 0.0690461i 0.127664 0.991817i \(-0.459252\pi\)
−0.385348 + 0.922771i \(0.625919\pi\)
\(458\) −11.7564 + 30.6265i −0.549341 + 1.43108i
\(459\) 2.70416 2.43483i 0.126219 0.113648i
\(460\) −1.09865 + 0.695919i −0.0512249 + 0.0324474i
\(461\) −6.41686 + 2.08497i −0.298863 + 0.0971065i −0.454610 0.890690i \(-0.650221\pi\)
0.155747 + 0.987797i \(0.450221\pi\)
\(462\) 1.53514 + 8.36113i 0.0714212 + 0.388995i
\(463\) 37.8440 19.2825i 1.75876 0.896133i 0.806280 0.591534i \(-0.201477\pi\)
0.952481 0.304599i \(-0.0985226\pi\)
\(464\) 18.8662 + 16.9872i 0.875840 + 0.788610i
\(465\) 1.31697 + 8.97120i 0.0610731 + 0.416030i
\(466\) 9.29498 + 10.3231i 0.430582 + 0.478209i
\(467\) 2.78580 2.25590i 0.128912 0.104390i −0.562696 0.826664i \(-0.690236\pi\)
0.691608 + 0.722273i \(0.256903\pi\)
\(468\) 1.83025 1.83025i 0.0846034 0.0846034i
\(469\) −22.6688 29.6454i −1.04675 1.36890i
\(470\) 10.0866 10.9504i 0.465261 0.505106i
\(471\) 9.10374 + 4.05325i 0.419478 + 0.186764i
\(472\) −5.08878 + 6.28411i −0.234230 + 0.289250i
\(473\) −8.57095 13.1981i −0.394093 0.606849i
\(474\) 0.445587 + 0.771779i 0.0204665 + 0.0354490i
\(475\) 14.5857 + 16.9558i 0.669238 + 0.777985i
\(476\) −0.281617 + 0.266348i −0.0129079 + 0.0122081i
\(477\) 20.2308 + 10.3081i 0.926305 + 0.471976i
\(478\) 13.9964 + 36.4619i 0.640180 + 1.66773i
\(479\) 2.27170 + 21.6138i 0.103797 + 0.987560i 0.915180 + 0.403046i \(0.132048\pi\)
−0.811383 + 0.584515i \(0.801285\pi\)
\(480\) 0.0137481 1.21436i 0.000627514 0.0554279i
\(481\) −20.6727 2.17279i −0.942594 0.0990706i
\(482\) 7.79642 + 7.79642i 0.355117 + 0.355117i
\(483\) 6.34246 2.61468i 0.288592 0.118972i
\(484\) 0.277788 + 0.0902589i 0.0126267 + 0.00410268i
\(485\) 28.8102 7.37115i 1.30821 0.334707i
\(486\) −4.08478 + 19.2174i −0.185289 + 0.871718i
\(487\) −12.0853 0.633363i −0.547637 0.0287004i −0.223488 0.974707i \(-0.571744\pi\)
−0.324148 + 0.946006i \(0.605078\pi\)
\(488\) −5.82789 + 8.97417i −0.263816 + 0.406241i
\(489\) −3.08344 9.48987i −0.139438 0.429147i
\(490\) 12.7758 17.0525i 0.577154 0.770352i
\(491\) 9.93766 30.5850i 0.448480 1.38028i −0.430142 0.902761i \(-0.641536\pi\)
0.878622 0.477518i \(-0.158464\pi\)
\(492\) −0.364373 0.449963i −0.0164272 0.0202859i
\(493\) 1.77846 + 6.63729i 0.0800977 + 0.298929i
\(494\) −16.9732 38.1225i −0.763662 1.71521i
\(495\) 8.21250 + 19.0222i 0.369124 + 0.854986i
\(496\) 13.4096 + 18.4567i 0.602109 + 0.828732i
\(497\) 1.78737 + 23.2084i 0.0801746 + 1.04104i
\(498\) −5.60303 + 10.9966i −0.251078 + 0.492768i
\(499\) 34.5237 19.9323i 1.54549 0.892292i 0.547018 0.837121i \(-0.315763\pi\)
0.998477 0.0551705i \(-0.0175702\pi\)
\(500\) 0.395832 1.59401i 0.0177021 0.0712861i
\(501\) 1.91177 3.31129i 0.0854117 0.147937i
\(502\) 20.0768 1.05218i 0.896071 0.0469611i
\(503\) 1.52863 9.65138i 0.0681582 0.430334i −0.929887 0.367844i \(-0.880096\pi\)
0.998046 0.0624896i \(-0.0199040\pi\)
\(504\) 3.65570 19.5414i 0.162838 0.870443i
\(505\) 20.2913 + 2.36523i 0.902949 + 0.105252i
\(506\) −2.03031 + 19.3171i −0.0902581 + 0.858749i
\(507\) 21.4858 5.75712i 0.954220 0.255682i
\(508\) −0.661802 0.254042i −0.0293627 0.0112713i
\(509\) −20.7863 + 4.41826i −0.921336 + 0.195836i −0.644078 0.764960i \(-0.722759\pi\)
−0.277258 + 0.960796i \(0.589426\pi\)
\(510\) −1.10164 + 1.65505i −0.0487815 + 0.0732871i
\(511\) 0.335404 + 13.6858i 0.0148374 + 0.605425i
\(512\) −11.1648 21.9121i −0.493417 0.968386i
\(513\) −13.6880 8.88911i −0.604341 0.392464i
\(514\) −10.0432 2.13474i −0.442985 0.0941594i
\(515\) 10.0528 9.82773i 0.442979 0.433061i
\(516\) −0.0873458 0.410930i −0.00384518 0.0180902i
\(517\) 2.75747 + 17.4100i 0.121273 + 0.765689i
\(518\) −9.60931 + 5.19658i −0.422209 + 0.228324i
\(519\) −0.314102 + 0.432324i −0.0137875 + 0.0189769i
\(520\) −22.8299 + 38.5286i −1.00116 + 1.68959i
\(521\) −25.8230 + 2.71411i −1.13133 + 0.118907i −0.651638 0.758530i \(-0.725918\pi\)
−0.479690 + 0.877438i \(0.659251\pi\)
\(522\) −18.7406 15.1759i −0.820256 0.664230i
\(523\) 2.26533 + 43.2251i 0.0990560 + 1.89010i 0.372237 + 0.928138i \(0.378591\pi\)
−0.273181 + 0.961963i \(0.588076\pi\)
\(524\) 1.77970 0.0777466
\(525\) −3.50916 + 7.92134i −0.153152 + 0.345715i
\(526\) −24.4231 −1.06490
\(527\) 0.323173 + 6.16650i 0.0140776 + 0.268617i
\(528\) −6.75867 5.47306i −0.294133 0.238184i
\(529\) −7.28500 + 0.765684i −0.316739 + 0.0332906i
\(530\) −26.2290 5.88626i −1.13932 0.255683i
\(531\) 4.18132 5.75510i 0.181454 0.249750i
\(532\) 1.48087 + 0.910897i 0.0642037 + 0.0394924i
\(533\) 6.45164 + 40.7341i 0.279452 + 1.76439i
\(534\) −0.319367 1.50250i −0.0138204 0.0650197i
\(535\) −15.1722 + 2.22727i −0.655950 + 0.0962934i
\(536\) 40.3227 + 8.57085i 1.74167 + 0.370204i
\(537\) −1.08603 0.705275i −0.0468656 0.0304348i
\(538\) 10.0825 + 19.7879i 0.434686 + 0.853119i
\(539\) 6.44757 + 24.3896i 0.277716 + 1.05054i
\(540\) 0.0491721 + 1.19750i 0.00211603 + 0.0515324i
\(541\) 3.28498 0.698243i 0.141232 0.0300198i −0.136753 0.990605i \(-0.543667\pi\)
0.277985 + 0.960585i \(0.410333\pi\)
\(542\) 4.83498 + 1.85598i 0.207680 + 0.0797210i
\(543\) −4.90363 + 1.31392i −0.210435 + 0.0563859i
\(544\) 0.0864500 0.822517i 0.00370651 0.0352651i
\(545\) 11.9451 26.0320i 0.511672 1.11509i
\(546\) 10.5188 12.2742i 0.450164 0.525287i
\(547\) −6.75980 + 42.6797i −0.289028 + 1.82485i 0.233650 + 0.972321i \(0.424933\pi\)
−0.522678 + 0.852530i \(0.675067\pi\)
\(548\) 0.860623 0.0451034i 0.0367640 0.00192672i
\(549\) 4.70680 8.15242i 0.200882 0.347937i
\(550\) −15.0016 19.4079i −0.639670 0.827555i
\(551\) 26.6912 15.4102i 1.13708 0.656496i
\(552\) −3.44033 + 6.75203i −0.146430 + 0.287386i
\(553\) 1.49430 + 2.18205i 0.0635441 + 0.0927903i
\(554\) −5.37363 7.39617i −0.228304 0.314233i
\(555\) 3.33447 2.93470i 0.141540 0.124571i
\(556\) −0.433391 0.973413i −0.0183799 0.0412819i
\(557\) −3.82777 14.2854i −0.162188 0.605293i −0.998382 0.0568601i \(-0.981891\pi\)
0.836194 0.548433i \(-0.184776\pi\)
\(558\) −13.6377 16.8412i −0.577330 0.712943i
\(559\) −9.24717 + 28.4599i −0.391114 + 1.20372i
\(560\) 1.42768 + 21.7517i 0.0603307 + 0.919176i
\(561\) −0.727407 2.23873i −0.0307112 0.0945192i
\(562\) 2.42297 3.73104i 0.102207 0.157384i
\(563\) 8.84078 + 0.463325i 0.372594 + 0.0195268i 0.237714 0.971335i \(-0.423602\pi\)
0.134880 + 0.990862i \(0.456935\pi\)
\(564\) −0.0978362 + 0.460283i −0.00411965 + 0.0193814i
\(565\) 13.9300 16.8095i 0.586041 0.707179i
\(566\) −6.45330 2.09680i −0.271252 0.0881353i
\(567\) −1.86189 + 13.9615i −0.0781922 + 0.586327i
\(568\) −18.1814 18.1814i −0.762873 0.762873i
\(569\) −16.4720 1.73128i −0.690542 0.0725789i −0.247244 0.968953i \(-0.579525\pi\)
−0.443298 + 0.896374i \(0.646192\pi\)
\(570\) 8.44933 + 2.85150i 0.353904 + 0.119436i
\(571\) 1.21684 + 11.5775i 0.0509233 + 0.484502i 0.990028 + 0.140871i \(0.0449903\pi\)
−0.939105 + 0.343631i \(0.888343\pi\)
\(572\) −1.30022 3.38718i −0.0543648 0.141625i
\(573\) 0.749877 + 0.382081i 0.0313265 + 0.0159617i
\(574\) 14.8935 + 15.7473i 0.621643 + 0.657279i
\(575\) −12.8030 + 15.0982i −0.533921 + 0.629639i
\(576\) 10.9247 + 18.9221i 0.455194 + 0.788419i
\(577\) −20.5125 31.5864i −0.853946 1.31496i −0.947634 0.319359i \(-0.896532\pi\)
0.0936880 0.995602i \(-0.470134\pi\)
\(578\) 13.7116 16.9324i 0.570326 0.704294i
\(579\) 8.67350 + 3.86169i 0.360458 + 0.160486i
\(580\) −2.05702 0.943892i −0.0854132 0.0391930i
\(581\) −14.0728 + 33.8141i −0.583837 + 1.40285i
\(582\) 8.38407 8.38407i 0.347531 0.347531i
\(583\) 24.7341 20.0293i 1.02438 0.829528i
\(584\) −10.1187 11.2380i −0.418715 0.465030i
\(585\) 18.2829 34.8998i 0.755905 1.44293i
\(586\) −14.8402 13.3622i −0.613043 0.551986i
\(587\) −28.8080 + 14.6784i −1.18903 + 0.605843i −0.932668 0.360736i \(-0.882526\pi\)
−0.256367 + 0.966580i \(0.582526\pi\)
\(588\) −0.0726432 + 0.669539i −0.00299575 + 0.0276113i
\(589\) 26.3410 8.55870i 1.08536 0.352655i
\(590\) −3.10698 + 7.82792i −0.127912 + 0.322271i
\(591\) −7.01228 + 6.31389i −0.288447 + 0.259719i
\(592\) 4.00518 10.4338i 0.164612 0.428828i
\(593\) −0.721886 0.193429i −0.0296443 0.00794316i 0.243966 0.969784i \(-0.421551\pi\)
−0.273611 + 0.961841i \(0.588218\pi\)
\(594\) 14.4815 + 10.5214i 0.594181 + 0.431698i
\(595\) −2.88247 + 5.14812i −0.118170 + 0.211052i
\(596\) 1.27986 0.929872i 0.0524251 0.0380890i
\(597\) 1.28995 0.495164i 0.0527940 0.0202657i
\(598\) 30.9760 20.1160i 1.26670 0.822606i
\(599\) 30.0127 + 17.3279i 1.22629 + 0.707997i 0.966251 0.257602i \(-0.0829323\pi\)
0.260036 + 0.965599i \(0.416266\pi\)
\(600\) −2.75054 9.16644i −0.112290 0.374218i
\(601\) 20.7380i 0.845922i −0.906148 0.422961i \(-0.860991\pi\)
0.906148 0.422961i \(-0.139009\pi\)
\(602\) 4.44137 + 15.0867i 0.181017 + 0.614888i
\(603\) −35.8194 5.67323i −1.45868 0.231032i
\(604\) −0.0860883 + 0.193357i −0.00350288 + 0.00786760i
\(605\) 4.44566 + 0.0503305i 0.180742 + 0.00204623i
\(606\) 7.44088 3.31289i 0.302265 0.134577i
\(607\) −4.20723 + 15.7016i −0.170766 + 0.637308i 0.826468 + 0.562984i \(0.190347\pi\)
−0.997234 + 0.0743240i \(0.976320\pi\)
\(608\) −3.66388 + 0.580302i −0.148590 + 0.0235343i
\(609\) 9.82765 + 6.77865i 0.398236 + 0.274685i
\(610\) −3.00619 + 10.7318i −0.121717 + 0.434517i
\(611\) 22.4282 24.9091i 0.907349 1.00771i
\(612\) −0.0197139 + 0.376164i −0.000796887 + 0.0152055i
\(613\) 0.193868 3.69923i 0.00783026 0.149410i −0.991916 0.126894i \(-0.959499\pi\)
0.999746 0.0225158i \(-0.00716762\pi\)
\(614\) −4.03691 + 4.48345i −0.162917 + 0.180937i
\(615\) −7.33651 4.88335i −0.295837 0.196916i
\(616\) −22.9392 15.8224i −0.924247 0.637503i
\(617\) 0.473002 0.0749161i 0.0190423 0.00301601i −0.146906 0.989150i \(-0.546931\pi\)
0.165948 + 0.986134i \(0.446931\pi\)
\(618\) 1.45075 5.41426i 0.0583576 0.217793i
\(619\) −24.2549 + 10.7990i −0.974887 + 0.434048i −0.831443 0.555611i \(-0.812484\pi\)
−0.143444 + 0.989658i \(0.545818\pi\)
\(620\) −1.63178 1.21402i −0.0655339 0.0487561i
\(621\) 5.87550 13.1966i 0.235776 0.529561i
\(622\) 7.04010 + 1.11504i 0.282282 + 0.0447091i
\(623\) −1.28735 4.37294i −0.0515765 0.175198i
\(624\) 16.5373i 0.662022i
\(625\) −1.48504 24.9559i −0.0594016 0.998234i
\(626\) −9.44480 5.45296i −0.377490 0.217944i
\(627\) −8.85478 + 5.75036i −0.353626 + 0.229647i
\(628\) −2.08679 + 0.801045i −0.0832721 + 0.0319652i
\(629\) 2.44730 1.77807i 0.0975803 0.0708962i
\(630\) −2.43563 20.5623i −0.0970377 0.819223i
\(631\) −13.2040 9.59330i −0.525645 0.381903i 0.293081 0.956088i \(-0.405319\pi\)
−0.818726 + 0.574184i \(0.805319\pi\)
\(632\) −2.82181 0.756102i −0.112246 0.0300761i
\(633\) −1.96234 + 5.11208i −0.0779961 + 0.203187i
\(634\) −6.42726 + 5.78713i −0.255259 + 0.229836i
\(635\) −10.7684 0.686667i −0.427331 0.0272496i
\(636\) 0.808058 0.262554i 0.0320416 0.0104109i
\(637\) 28.3268 38.7147i 1.12235 1.53393i
\(638\) −30.1179 + 15.3458i −1.19238 + 0.607547i
\(639\) 16.8100 + 15.1358i 0.664994 + 0.598763i
\(640\) −15.4904 15.8451i −0.612311 0.626334i
\(641\) −26.4913 29.4215i −1.04634 1.16208i −0.986481 0.163874i \(-0.947601\pi\)
−0.0598609 0.998207i \(-0.519066\pi\)
\(642\) −4.75154 + 3.84772i −0.187528 + 0.151857i
\(643\) −1.27966 + 1.27966i −0.0504649 + 0.0504649i −0.731889 0.681424i \(-0.761361\pi\)
0.681424 + 0.731889i \(0.261361\pi\)
\(644\) −0.591254 + 1.42067i −0.0232987 + 0.0559821i
\(645\) −3.13445 5.57380i −0.123419 0.219468i
\(646\) 5.54790 + 2.47008i 0.218279 + 0.0971841i
\(647\) −7.91208 + 9.77061i −0.311056 + 0.384122i −0.908567 0.417738i \(-0.862823\pi\)
0.597511 + 0.801860i \(0.296156\pi\)
\(648\) −8.47384 13.0486i −0.332884 0.512596i
\(649\) −4.98570 8.63548i −0.195706 0.338972i
\(650\) −10.7284 + 45.3941i −0.420803 + 1.78050i
\(651\) 7.37204 + 7.79466i 0.288933 + 0.305497i
\(652\) 1.99422 + 1.01611i 0.0780996 + 0.0397938i
\(653\) 12.7671 + 33.2594i 0.499615 + 1.30154i 0.919187 + 0.393821i \(0.128847\pi\)
−0.419572 + 0.907722i \(0.637820\pi\)
\(654\) −1.19368 11.3571i −0.0466766 0.444098i
\(655\) 25.8569 8.07896i 1.01031 0.315671i
\(656\) −22.0527 2.31783i −0.861013 0.0904962i
\(657\) 9.40702 + 9.40702i 0.367003 + 0.367003i
\(658\) 2.32860 17.4611i 0.0907784 0.680705i
\(659\) 40.6379 + 13.2041i 1.58303 + 0.514357i 0.962834 0.270092i \(-0.0870542\pi\)
0.620193 + 0.784449i \(0.287054\pi\)
\(660\) 0.720630 + 0.286025i 0.0280505 + 0.0111335i
\(661\) −8.91071 + 41.9216i −0.346586 + 1.63056i 0.367161 + 0.930157i \(0.380330\pi\)
−0.713748 + 0.700403i \(0.753004\pi\)
\(662\) −28.5702 1.49730i −1.11041 0.0581942i
\(663\) −2.43787 + 3.75399i −0.0946790 + 0.145793i
\(664\) −12.5020 38.4773i −0.485173 1.49321i
\(665\) 25.6502 + 6.51182i 0.994673 + 0.252518i
\(666\) −3.28055 + 10.0965i −0.127119 + 0.391232i
\(667\) 17.1669 + 21.1994i 0.664705 + 0.820842i
\(668\) 0.221973 + 0.828416i 0.00858841 + 0.0320524i
\(669\) −2.74265 6.16009i −0.106037 0.238163i
\(670\) 42.7485 4.00431i 1.65152 0.154700i
\(671\) −7.75597 10.6752i −0.299416 0.412110i
\(672\) −0.811908 1.18559i −0.0313200 0.0457351i
\(673\) 1.16847 2.29326i 0.0450413 0.0883986i −0.867389 0.497631i \(-0.834203\pi\)
0.912430 + 0.409232i \(0.134203\pi\)
\(674\) −11.0238 + 6.36462i −0.424623 + 0.245156i
\(675\) 6.15049 + 17.1751i 0.236733 + 0.661069i
\(676\) −2.49469 + 4.32093i −0.0959497 + 0.166190i
\(677\) −20.2362 + 1.06054i −0.777741 + 0.0407597i −0.437076 0.899425i \(-0.643986\pi\)
−0.340666 + 0.940184i \(0.610652\pi\)
\(678\) 1.36165 8.59712i 0.0522939 0.330170i
\(679\) 22.8968 26.7179i 0.878700 1.02534i
\(680\) −1.28279 6.38993i −0.0491928 0.245043i
\(681\) 0.358051 3.40663i 0.0137205 0.130542i
\(682\) −29.3410 + 7.86188i −1.12352 + 0.301047i
\(683\) 6.07130 + 2.33055i 0.232312 + 0.0891762i 0.471739 0.881738i \(-0.343626\pi\)
−0.239427 + 0.970914i \(0.576960\pi\)
\(684\) 1.65260 0.351271i 0.0631887 0.0134312i
\(685\) 12.2991 4.56210i 0.469923 0.174309i
\(686\) 0.786774 25.1991i 0.0300392 0.962105i
\(687\) −7.16528 14.0627i −0.273373 0.536524i
\(688\) −13.4936 8.76284i −0.514438 0.334080i
\(689\) −59.1976 12.5828i −2.25525 0.479368i
\(690\) −1.32286 + 7.78107i −0.0503606 + 0.296220i
\(691\) 4.25124 + 20.0005i 0.161725 + 0.760855i 0.981999 + 0.188885i \(0.0604873\pi\)
−0.820275 + 0.571970i \(0.806179\pi\)
\(692\) −0.0187509 0.118389i −0.000712803 0.00450046i
\(693\) 20.8813 + 12.8443i 0.793216 + 0.487916i
\(694\) 14.5867 20.0769i 0.553703 0.762107i
\(695\) −10.7155 12.1751i −0.406461 0.461829i
\(696\) −13.1155 + 1.37849i −0.497141 + 0.0522516i
\(697\) −4.66431 3.77708i −0.176673 0.143067i
\(698\) −1.47881 28.2175i −0.0559739 1.06805i
\(699\) −6.68311 −0.252779
\(700\) −0.699804 1.81296i −0.0264501 0.0685234i
\(701\) 40.8116 1.54143 0.770717 0.637178i \(-0.219898\pi\)
0.770717 + 0.637178i \(0.219898\pi\)
\(702\) −1.78140 33.9911i −0.0672346 1.28291i
\(703\) −10.5444 8.53871i −0.397691 0.322044i
\(704\) 30.4588 3.20135i 1.14796 0.120655i
\(705\) 0.668017 + 7.13149i 0.0251590 + 0.268587i
\(706\) 15.0062 20.6542i 0.564765 0.777332i
\(707\) 21.2616 11.4980i 0.799626 0.432427i
\(708\) −0.0416420 0.262917i −0.00156500 0.00988103i
\(709\) −6.86073 32.2772i −0.257660 1.21220i −0.896566 0.442910i \(-0.853946\pi\)
0.638906 0.769285i \(-0.279387\pi\)
\(710\) −23.7222 12.4273i −0.890278 0.466389i
\(711\) 2.51387 + 0.534339i 0.0942773 + 0.0200393i
\(712\) 4.22304 + 2.74247i 0.158265 + 0.102778i
\(713\) 11.1289 + 21.8418i 0.416782 + 0.817981i
\(714\) 0.0576348 + 2.35173i 0.00215693 + 0.0880112i
\(715\) −34.2667 43.3093i −1.28150 1.61968i
\(716\) 0.284114 0.0603902i 0.0106178 0.00225689i
\(717\) −17.5420 6.73376i −0.655119 0.251477i
\(718\) −2.96329 + 0.794012i −0.110589 + 0.0296323i
\(719\) 1.46687 13.9564i 0.0547051 0.520484i −0.932516 0.361128i \(-0.882392\pi\)
0.987221 0.159356i \(-0.0509417\pi\)
\(720\) 15.5807 + 14.3516i 0.580660 + 0.534854i
\(721\) 3.05879 16.3507i 0.113915 0.608930i
\(722\) 0.215010 1.35752i 0.00800184 0.0505216i
\(723\) −5.29732 + 0.277621i −0.197009 + 0.0103248i
\(724\) 0.569354 0.986150i 0.0211599 0.0366500i
\(725\) −34.1709 4.37573i −1.26907 0.162511i
\(726\) 1.53514 0.886316i 0.0569746 0.0328943i
\(727\) −6.09289 + 11.9580i −0.225973 + 0.443496i −0.975958 0.217958i \(-0.930060\pi\)
0.749985 + 0.661454i \(0.230060\pi\)
\(728\) 4.06892 + 52.8334i 0.150804 + 1.95814i
\(729\) 3.83166 + 5.27383i 0.141914 + 0.195327i
\(730\) −13.5501 8.02901i −0.501510 0.297167i
\(731\) −1.77128 3.97835i −0.0655130 0.147145i
\(732\) −0.0911709 0.340255i −0.00336977 0.0125762i
\(733\) −19.3207 23.8591i −0.713628 0.881257i 0.283344 0.959018i \(-0.408556\pi\)
−0.996972 + 0.0777611i \(0.975223\pi\)
\(734\) −4.10015 + 12.6190i −0.151339 + 0.465774i
\(735\) 1.98396 + 10.0574i 0.0731794 + 0.370971i
\(736\) −1.01458 3.12255i −0.0373979 0.115099i
\(737\) −27.6865 + 42.6335i −1.01985 + 1.57042i
\(738\) 21.0341 + 1.10235i 0.774276 + 0.0405781i
\(739\) −5.15551 + 24.2548i −0.189648 + 0.892225i 0.775668 + 0.631141i \(0.217413\pi\)
−0.965316 + 0.261084i \(0.915920\pi\)
\(740\) −0.0634057 + 0.994335i −0.00233084 + 0.0365525i
\(741\) 19.0941 + 6.20405i 0.701439 + 0.227911i
\(742\) −29.4057 + 12.1225i −1.07952 + 0.445031i
\(743\) −0.916200 0.916200i −0.0336121 0.0336121i 0.690101 0.723713i \(-0.257566\pi\)
−0.723713 + 0.690101i \(0.757566\pi\)
\(744\) −11.7861 1.23877i −0.432101 0.0454156i
\(745\) 14.3736 19.3198i 0.526610 0.707824i
\(746\) 0.340493 + 3.23958i 0.0124663 + 0.118609i
\(747\) 12.7550 + 33.2279i 0.466681 + 1.21575i
\(748\) 0.470451 + 0.239707i 0.0172014 + 0.00876455i
\(749\) −13.1824 + 12.4676i −0.481673 + 0.455558i
\(750\) −5.58166 8.25832i −0.203813 0.301551i
\(751\) −8.30560 14.3857i −0.303076 0.524942i 0.673755 0.738954i \(-0.264680\pi\)
−0.976831 + 0.214012i \(0.931347\pi\)
\(752\) 9.81528 + 15.1142i 0.357926 + 0.551158i
\(753\) −6.08700 + 7.51681i −0.221822 + 0.273928i
\(754\) 58.7191 + 26.1434i 2.13842 + 0.952088i
\(755\) −0.373011 + 3.20005i −0.0135753 + 0.116462i
\(756\) 0.861396 + 1.12650i 0.0313287 + 0.0409704i
\(757\) −21.3401 + 21.3401i −0.775621 + 0.775621i −0.979083 0.203462i \(-0.934781\pi\)
0.203462 + 0.979083i \(0.434781\pi\)
\(758\) 27.8154 22.5244i 1.01030 0.818124i
\(759\) −6.25287 6.94451i −0.226965 0.252070i
\(760\) −26.1949 + 12.9756i −0.950190 + 0.470674i
\(761\) −12.3286 11.1007i −0.446910 0.402400i 0.414710 0.909954i \(-0.363883\pi\)
−0.861620 + 0.507554i \(0.830550\pi\)
\(762\) −3.83326 + 1.95314i −0.138864 + 0.0707549i
\(763\) −6.11994 33.3322i −0.221557 1.20671i
\(764\) −0.179537 + 0.0583350i −0.00649541 + 0.00211049i
\(765\) 1.42118 + 5.55470i 0.0513828 + 0.200830i
\(766\) −0.689382 + 0.620722i −0.0249084 + 0.0224276i
\(767\) −6.79503 + 17.7017i −0.245354 + 0.639170i
\(768\) 2.21803 + 0.594318i 0.0800361 + 0.0214456i
\(769\) 19.4798 + 14.1529i 0.702460 + 0.510367i 0.880732 0.473614i \(-0.157051\pi\)
−0.178273 + 0.983981i \(0.557051\pi\)
\(770\) −27.7194 8.60432i −0.998938 0.310078i
\(771\) 3.99637 2.90353i 0.143926 0.104568i