Properties

Label 75.4.g.b.16.3
Level $75$
Weight $4$
Character 75.16
Analytic conductor $4.425$
Analytic rank $0$
Dimension $28$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 75 = 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 75.g (of order \(5\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.42514325043\)
Analytic rank: \(0\)
Dimension: \(28\)
Relative dimension: \(7\) over \(\Q(\zeta_{5})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label 16.3
Character \(\chi\) \(=\) 75.16
Dual form 75.4.g.b.61.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.08389 - 0.787491i) q^{2} +(0.927051 + 2.85317i) q^{3} +(-1.91746 - 5.90135i) q^{4} +(-3.83217 + 10.5031i) q^{5} +(1.24203 - 3.82256i) q^{6} -12.2101 q^{7} +(-5.88101 + 18.0999i) q^{8} +(-7.28115 + 5.29007i) q^{9} +O(q^{10})\) \(q+(-1.08389 - 0.787491i) q^{2} +(0.927051 + 2.85317i) q^{3} +(-1.91746 - 5.90135i) q^{4} +(-3.83217 + 10.5031i) q^{5} +(1.24203 - 3.82256i) q^{6} -12.2101 q^{7} +(-5.88101 + 18.0999i) q^{8} +(-7.28115 + 5.29007i) q^{9} +(12.4247 - 8.36635i) q^{10} +(2.00821 + 1.45905i) q^{11} +(15.0600 - 10.9417i) q^{12} +(-69.2682 + 50.3263i) q^{13} +(13.2344 + 9.61535i) q^{14} +(-33.5197 - 1.19695i) q^{15} +(-19.5320 + 14.1909i) q^{16} +(-1.71458 + 5.27694i) q^{17} +12.0578 q^{18} +(-7.45887 + 22.9561i) q^{19} +(69.3303 + 2.47571i) q^{20} +(-11.3194 - 34.8375i) q^{21} +(-1.02769 - 3.16290i) q^{22} +(83.6143 + 60.7493i) q^{23} -57.0940 q^{24} +(-95.6289 - 80.4991i) q^{25} +114.710 q^{26} +(-21.8435 - 15.8702i) q^{27} +(23.4124 + 72.0561i) q^{28} +(-35.3035 - 108.653i) q^{29} +(35.3890 + 27.6938i) q^{30} +(47.5487 - 146.340i) q^{31} +184.596 q^{32} +(-2.30121 + 7.08239i) q^{33} +(6.01395 - 4.36939i) q^{34} +(46.7912 - 128.244i) q^{35} +(45.1799 + 32.8251i) q^{36} +(277.229 - 201.419i) q^{37} +(26.1623 - 19.0080i) q^{38} +(-207.805 - 150.979i) q^{39} +(-167.567 - 131.130i) q^{40} +(-28.0530 + 20.3817i) q^{41} +(-15.1653 + 46.6739i) q^{42} -154.740 q^{43} +(4.75970 - 14.6489i) q^{44} +(-27.6593 - 96.7469i) q^{45} +(-42.7890 - 131.691i) q^{46} +(104.613 + 321.965i) q^{47} +(-58.5961 - 42.5726i) q^{48} -193.913 q^{49} +(40.2588 + 162.559i) q^{50} -16.6455 q^{51} +(429.812 + 312.277i) q^{52} +(199.512 + 614.036i) q^{53} +(11.1782 + 34.4030i) q^{54} +(-23.0204 + 15.5011i) q^{55} +(71.8077 - 221.001i) q^{56} -72.4123 q^{57} +(-47.2982 + 145.569i) q^{58} +(-536.260 + 389.616i) q^{59} +(57.2091 + 200.106i) q^{60} +(289.370 + 210.239i) q^{61} +(-166.779 + 121.172i) q^{62} +(88.9036 - 64.5923i) q^{63} +(-43.8256 - 31.8411i) q^{64} +(-263.133 - 920.387i) q^{65} +(8.07157 - 5.86434i) q^{66} +(-164.205 + 505.370i) q^{67} +34.4287 q^{68} +(-95.8134 + 294.883i) q^{69} +(-151.707 + 102.154i) q^{70} +(-196.164 - 603.732i) q^{71} +(-52.9291 - 162.899i) q^{72} +(-779.001 - 565.977i) q^{73} -459.101 q^{74} +(141.025 - 347.472i) q^{75} +149.774 q^{76} +(-24.5205 - 17.8152i) q^{77} +(106.342 + 327.288i) q^{78} +(175.752 + 540.908i) q^{79} +(-74.1975 - 259.528i) q^{80} +(25.0304 - 77.0356i) q^{81} +46.4568 q^{82} +(-98.8352 + 304.184i) q^{83} +(-183.884 + 133.599i) q^{84} +(-48.8535 - 38.2305i) q^{85} +(167.721 + 121.856i) q^{86} +(277.277 - 201.454i) q^{87} +(-38.2190 + 27.7677i) q^{88} +(1079.81 + 784.525i) q^{89} +(-46.2077 + 126.644i) q^{90} +(845.772 - 614.489i) q^{91} +(198.176 - 609.922i) q^{92} +461.613 q^{93} +(140.156 - 431.355i) q^{94} +(-212.525 - 166.313i) q^{95} +(171.130 + 526.685i) q^{96} +(123.390 + 379.754i) q^{97} +(210.180 + 152.705i) q^{98} -22.3406 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28 q - 21 q^{3} - 30 q^{4} - 15 q^{5} - 54 q^{7} - 63 q^{8} - 63 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 28 q - 21 q^{3} - 30 q^{4} - 15 q^{5} - 54 q^{7} - 63 q^{8} - 63 q^{9} + 165 q^{10} + 19 q^{11} - 60 q^{12} + 4 q^{13} - 24 q^{14} + 45 q^{15} - 66 q^{16} + 208 q^{17} + 42 q^{19} + 295 q^{20} + 3 q^{21} - 89 q^{22} + 32 q^{23} + 126 q^{24} + 95 q^{25} + 206 q^{26} - 189 q^{27} - 482 q^{28} - 716 q^{29} - 645 q^{30} + 637 q^{31} - 844 q^{32} + 42 q^{33} - 90 q^{34} + 430 q^{35} - 180 q^{36} + 216 q^{37} + 2314 q^{38} + 12 q^{39} - 500 q^{40} - 38 q^{41} + 933 q^{42} - 1392 q^{43} + 603 q^{44} + 270 q^{45} + 1622 q^{46} - 536 q^{47} - 198 q^{48} + 162 q^{49} - 2265 q^{50} - 876 q^{51} - 1922 q^{52} + 1672 q^{53} - 1000 q^{55} + 3000 q^{56} - 1104 q^{57} - 827 q^{58} + 973 q^{59} + 1365 q^{60} - 2712 q^{61} + 1057 q^{62} + 234 q^{63} + 4439 q^{64} - 4360 q^{65} + 1098 q^{66} + 2768 q^{67} - 1370 q^{68} + 396 q^{69} + 3230 q^{70} - 1074 q^{71} - 567 q^{72} - 1018 q^{73} - 1414 q^{74} + 765 q^{75} - 11408 q^{76} + 1607 q^{77} + 168 q^{78} - 1820 q^{79} - 1290 q^{80} - 567 q^{81} + 1772 q^{82} + 4045 q^{83} + 774 q^{84} + 1850 q^{85} - 3986 q^{86} + 1392 q^{87} + 2407 q^{88} + 4542 q^{89} - 180 q^{90} + 4412 q^{91} - 1089 q^{92} - 5334 q^{93} + 5137 q^{94} - 720 q^{95} + 1623 q^{96} - 5977 q^{97} - 10689 q^{98} - 594 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/75\mathbb{Z}\right)^\times\).

\(n\) \(26\) \(52\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{5}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.08389 0.787491i −0.383212 0.278420i 0.379456 0.925210i \(-0.376111\pi\)
−0.762668 + 0.646790i \(0.776111\pi\)
\(3\) 0.927051 + 2.85317i 0.178411 + 0.549093i
\(4\) −1.91746 5.90135i −0.239683 0.737669i
\(5\) −3.83217 + 10.5031i −0.342760 + 0.939423i
\(6\) 1.24203 3.82256i 0.0845091 0.260092i
\(7\) −12.2101 −0.659284 −0.329642 0.944106i \(-0.606928\pi\)
−0.329642 + 0.944106i \(0.606928\pi\)
\(8\) −5.88101 + 18.0999i −0.259906 + 0.799909i
\(9\) −7.28115 + 5.29007i −0.269672 + 0.195928i
\(10\) 12.4247 8.36635i 0.392904 0.264567i
\(11\) 2.00821 + 1.45905i 0.0550454 + 0.0399928i 0.614968 0.788552i \(-0.289169\pi\)
−0.559922 + 0.828545i \(0.689169\pi\)
\(12\) 15.0600 10.9417i 0.362286 0.263216i
\(13\) −69.2682 + 50.3263i −1.47781 + 1.07369i −0.499557 + 0.866281i \(0.666504\pi\)
−0.978254 + 0.207411i \(0.933496\pi\)
\(14\) 13.2344 + 9.61535i 0.252646 + 0.183558i
\(15\) −33.5197 1.19695i −0.576983 0.0206034i
\(16\) −19.5320 + 14.1909i −0.305188 + 0.221732i
\(17\) −1.71458 + 5.27694i −0.0244616 + 0.0752850i −0.962542 0.271132i \(-0.912602\pi\)
0.938080 + 0.346417i \(0.112602\pi\)
\(18\) 12.0578 0.157892
\(19\) −7.45887 + 22.9561i −0.0900623 + 0.277183i −0.985935 0.167127i \(-0.946551\pi\)
0.895873 + 0.444310i \(0.146551\pi\)
\(20\) 69.3303 + 2.47571i 0.775137 + 0.0276793i
\(21\) −11.3194 34.8375i −0.117623 0.362008i
\(22\) −1.02769 3.16290i −0.00995927 0.0306515i
\(23\) 83.6143 + 60.7493i 0.758034 + 0.550744i 0.898307 0.439369i \(-0.144798\pi\)
−0.140273 + 0.990113i \(0.544798\pi\)
\(24\) −57.0940 −0.485595
\(25\) −95.6289 80.4991i −0.765031 0.643993i
\(26\) 114.710 0.865253
\(27\) −21.8435 15.8702i −0.155695 0.113119i
\(28\) 23.4124 + 72.0561i 0.158019 + 0.486333i
\(29\) −35.3035 108.653i −0.226059 0.695737i −0.998182 0.0602646i \(-0.980806\pi\)
0.772124 0.635472i \(-0.219194\pi\)
\(30\) 35.3890 + 27.6938i 0.215370 + 0.168539i
\(31\) 47.5487 146.340i 0.275484 0.847852i −0.713607 0.700546i \(-0.752940\pi\)
0.989091 0.147306i \(-0.0470602\pi\)
\(32\) 184.596 1.01976
\(33\) −2.30121 + 7.08239i −0.0121391 + 0.0373602i
\(34\) 6.01395 4.36939i 0.0303348 0.0220395i
\(35\) 46.7912 128.244i 0.225976 0.619346i
\(36\) 45.1799 + 32.8251i 0.209166 + 0.151968i
\(37\) 277.229 201.419i 1.23179 0.894948i 0.234767 0.972052i \(-0.424567\pi\)
0.997023 + 0.0771043i \(0.0245674\pi\)
\(38\) 26.1623 19.0080i 0.111686 0.0811449i
\(39\) −207.805 150.979i −0.853214 0.619897i
\(40\) −167.567 131.130i −0.662368 0.518339i
\(41\) −28.0530 + 20.3817i −0.106857 + 0.0776363i −0.639931 0.768433i \(-0.721037\pi\)
0.533073 + 0.846069i \(0.321037\pi\)
\(42\) −15.1653 + 46.6739i −0.0557155 + 0.171475i
\(43\) −154.740 −0.548783 −0.274391 0.961618i \(-0.588476\pi\)
−0.274391 + 0.961618i \(0.588476\pi\)
\(44\) 4.75970 14.6489i 0.0163080 0.0501908i
\(45\) −27.6593 96.7469i −0.0916269 0.320493i
\(46\) −42.7890 131.691i −0.137150 0.422104i
\(47\) 104.613 + 321.965i 0.324666 + 0.999221i 0.971591 + 0.236667i \(0.0760549\pi\)
−0.646924 + 0.762554i \(0.723945\pi\)
\(48\) −58.5961 42.5726i −0.176200 0.128017i
\(49\) −193.913 −0.565345
\(50\) 40.2588 + 162.559i 0.113869 + 0.459786i
\(51\) −16.6455 −0.0457027
\(52\) 429.812 + 312.277i 1.14624 + 0.832789i
\(53\) 199.512 + 614.036i 0.517078 + 1.59140i 0.779469 + 0.626441i \(0.215489\pi\)
−0.262390 + 0.964962i \(0.584511\pi\)
\(54\) 11.1782 + 34.4030i 0.0281697 + 0.0866974i
\(55\) −23.0204 + 15.5011i −0.0564375 + 0.0380030i
\(56\) 71.8077 221.001i 0.171352 0.527367i
\(57\) −72.4123 −0.168267
\(58\) −47.2982 + 145.569i −0.107079 + 0.329554i
\(59\) −536.260 + 389.616i −1.18331 + 0.859724i −0.992541 0.121912i \(-0.961097\pi\)
−0.190767 + 0.981635i \(0.561097\pi\)
\(60\) 57.2091 + 200.106i 0.123094 + 0.430560i
\(61\) 289.370 + 210.239i 0.607377 + 0.441285i 0.848490 0.529212i \(-0.177512\pi\)
−0.241113 + 0.970497i \(0.577512\pi\)
\(62\) −166.779 + 121.172i −0.341628 + 0.248207i
\(63\) 88.9036 64.5923i 0.177791 0.129172i
\(64\) −43.8256 31.8411i −0.0855968 0.0621897i
\(65\) −263.133 920.387i −0.502117 1.75631i
\(66\) 8.07157 5.86434i 0.0150537 0.0109371i
\(67\) −164.205 + 505.370i −0.299415 + 0.921504i 0.682288 + 0.731083i \(0.260985\pi\)
−0.981703 + 0.190420i \(0.939015\pi\)
\(68\) 34.4287 0.0613984
\(69\) −95.8134 + 294.883i −0.167168 + 0.514490i
\(70\) −151.707 + 102.154i −0.259035 + 0.174425i
\(71\) −196.164 603.732i −0.327893 1.00915i −0.970118 0.242635i \(-0.921988\pi\)
0.642224 0.766517i \(-0.278012\pi\)
\(72\) −52.9291 162.899i −0.0866354 0.266636i
\(73\) −779.001 565.977i −1.24897 0.907433i −0.250812 0.968036i \(-0.580698\pi\)
−0.998162 + 0.0606028i \(0.980698\pi\)
\(74\) −459.101 −0.721208
\(75\) 141.025 347.472i 0.217122 0.534969i
\(76\) 149.774 0.226056
\(77\) −24.5205 17.8152i −0.0362905 0.0263666i
\(78\) 106.342 + 327.288i 0.154371 + 0.475104i
\(79\) 175.752 + 540.908i 0.250299 + 0.770340i 0.994720 + 0.102630i \(0.0327257\pi\)
−0.744421 + 0.667711i \(0.767274\pi\)
\(80\) −74.1975 259.528i −0.103694 0.362702i
\(81\) 25.0304 77.0356i 0.0343352 0.105673i
\(82\) 46.4568 0.0625645
\(83\) −98.8352 + 304.184i −0.130706 + 0.402271i −0.994897 0.100892i \(-0.967830\pi\)
0.864192 + 0.503163i \(0.167830\pi\)
\(84\) −183.884 + 133.599i −0.238849 + 0.173534i
\(85\) −48.8535 38.2305i −0.0623400 0.0487844i
\(86\) 167.721 + 121.856i 0.210300 + 0.152792i
\(87\) 277.277 201.454i 0.341693 0.248254i
\(88\) −38.2190 + 27.7677i −0.0462973 + 0.0336369i
\(89\) 1079.81 + 784.525i 1.28606 + 0.934376i 0.999718 0.0237515i \(-0.00756106\pi\)
0.286341 + 0.958128i \(0.407561\pi\)
\(90\) −46.2077 + 126.644i −0.0541191 + 0.148328i
\(91\) 845.772 614.489i 0.974296 0.707868i
\(92\) 198.176 609.922i 0.224579 0.691182i
\(93\) 461.613 0.514699
\(94\) 140.156 431.355i 0.153787 0.473307i
\(95\) −212.525 166.313i −0.229523 0.179614i
\(96\) 171.130 + 526.685i 0.181937 + 0.559943i
\(97\) 123.390 + 379.754i 0.129158 + 0.397507i 0.994636 0.103440i \(-0.0329850\pi\)
−0.865478 + 0.500947i \(0.832985\pi\)
\(98\) 210.180 + 152.705i 0.216647 + 0.157403i
\(99\) −22.3406 −0.0226799
\(100\) −291.688 + 718.694i −0.291688 + 0.718694i
\(101\) −131.408 −0.129461 −0.0647307 0.997903i \(-0.520619\pi\)
−0.0647307 + 0.997903i \(0.520619\pi\)
\(102\) 18.0419 + 13.1082i 0.0175138 + 0.0127245i
\(103\) 5.82218 + 17.9188i 0.00556967 + 0.0171417i 0.953803 0.300434i \(-0.0971314\pi\)
−0.948233 + 0.317575i \(0.897131\pi\)
\(104\) −503.533 1549.72i −0.474764 1.46117i
\(105\) 409.279 + 14.6149i 0.380395 + 0.0135835i
\(106\) 267.299 822.661i 0.244928 0.753810i
\(107\) −1832.09 −1.65528 −0.827640 0.561259i \(-0.810317\pi\)
−0.827640 + 0.561259i \(0.810317\pi\)
\(108\) −51.7715 + 159.336i −0.0461270 + 0.141964i
\(109\) 1082.18 786.250i 0.950954 0.690909i −7.79623e−5 1.00000i \(-0.500025\pi\)
0.951032 + 0.309091i \(0.100025\pi\)
\(110\) 37.1584 + 1.32689i 0.0322083 + 0.00115013i
\(111\) 831.688 + 604.257i 0.711174 + 0.516698i
\(112\) 238.488 173.272i 0.201206 0.146184i
\(113\) −29.3061 + 21.2921i −0.0243972 + 0.0177256i −0.599917 0.800062i \(-0.704800\pi\)
0.575520 + 0.817788i \(0.304800\pi\)
\(114\) 78.4868 + 57.0240i 0.0644821 + 0.0468490i
\(115\) −958.478 + 645.405i −0.777205 + 0.523342i
\(116\) −573.506 + 416.677i −0.459041 + 0.333513i
\(117\) 238.123 732.867i 0.188158 0.579090i
\(118\) 888.065 0.692822
\(119\) 20.9352 64.4319i 0.0161271 0.0496342i
\(120\) 218.794 599.663i 0.166442 0.456179i
\(121\) −409.398 1260.00i −0.307586 0.946654i
\(122\) −148.083 455.752i −0.109892 0.338212i
\(123\) −84.1591 61.1452i −0.0616941 0.0448234i
\(124\) −954.776 −0.691463
\(125\) 1211.95 695.911i 0.867204 0.497953i
\(126\) −147.227 −0.104096
\(127\) 1130.69 + 821.496i 0.790021 + 0.573984i 0.907970 0.419036i \(-0.137632\pi\)
−0.117949 + 0.993020i \(0.537632\pi\)
\(128\) −433.920 1335.47i −0.299637 0.922187i
\(129\) −143.452 441.500i −0.0979089 0.301333i
\(130\) −439.590 + 1204.81i −0.296574 + 0.812838i
\(131\) −877.005 + 2699.14i −0.584918 + 1.80019i 0.0146799 + 0.999892i \(0.495327\pi\)
−0.599598 + 0.800301i \(0.704673\pi\)
\(132\) 46.2081 0.0304690
\(133\) 91.0736 280.296i 0.0593766 0.182742i
\(134\) 575.953 418.455i 0.371304 0.269768i
\(135\) 250.394 168.606i 0.159633 0.107491i
\(136\) −85.4284 62.0674i −0.0538634 0.0391341i
\(137\) 655.541 476.279i 0.408808 0.297016i −0.364311 0.931277i \(-0.618696\pi\)
0.773119 + 0.634261i \(0.218696\pi\)
\(138\) 336.069 244.168i 0.207305 0.150616i
\(139\) 2540.67 + 1845.91i 1.55034 + 1.12639i 0.943410 + 0.331628i \(0.107598\pi\)
0.606927 + 0.794758i \(0.292402\pi\)
\(140\) −846.530 30.2287i −0.511035 0.0182485i
\(141\) −821.639 + 596.955i −0.490741 + 0.356544i
\(142\) −262.813 + 808.855i −0.155315 + 0.478012i
\(143\) −212.534 −0.124287
\(144\) 67.1452 206.652i 0.0388572 0.119590i
\(145\) 1276.48 + 45.5818i 0.731075 + 0.0261059i
\(146\) 398.648 + 1226.91i 0.225975 + 0.695479i
\(147\) −179.768 553.268i −0.100864 0.310427i
\(148\) −1720.22 1249.81i −0.955414 0.694149i
\(149\) −1008.26 −0.554362 −0.277181 0.960818i \(-0.589400\pi\)
−0.277181 + 0.960818i \(0.589400\pi\)
\(150\) −426.486 + 265.565i −0.232150 + 0.144556i
\(151\) −2162.97 −1.16570 −0.582848 0.812581i \(-0.698062\pi\)
−0.582848 + 0.812581i \(0.698062\pi\)
\(152\) −371.636 270.009i −0.198314 0.144083i
\(153\) −15.4312 47.4924i −0.00815386 0.0250950i
\(154\) 12.5482 + 38.6193i 0.00656598 + 0.0202080i
\(155\) 1354.80 + 1060.21i 0.702067 + 0.549406i
\(156\) −492.521 + 1515.82i −0.252777 + 0.777968i
\(157\) −2618.64 −1.33115 −0.665575 0.746331i \(-0.731814\pi\)
−0.665575 + 0.746331i \(0.731814\pi\)
\(158\) 235.465 724.686i 0.118561 0.364892i
\(159\) −1566.99 + 1138.49i −0.781575 + 0.567848i
\(160\) −707.405 + 1938.83i −0.349533 + 0.957987i
\(161\) −1020.94 741.756i −0.499759 0.363096i
\(162\) −87.7949 + 63.7868i −0.0425791 + 0.0309356i
\(163\) 261.518 190.004i 0.125667 0.0913022i −0.523176 0.852224i \(-0.675253\pi\)
0.648843 + 0.760922i \(0.275253\pi\)
\(164\) 174.070 + 126.469i 0.0828818 + 0.0602171i
\(165\) −65.5682 51.3107i −0.0309362 0.0242093i
\(166\) 346.668 251.869i 0.162088 0.117764i
\(167\) 49.1296 151.205i 0.0227650 0.0700636i −0.939029 0.343839i \(-0.888273\pi\)
0.961794 + 0.273775i \(0.0882725\pi\)
\(168\) 697.124 0.320145
\(169\) 1586.44 4882.55i 0.722092 2.22237i
\(170\) 22.8455 + 79.9092i 0.0103069 + 0.0360515i
\(171\) −67.1299 206.604i −0.0300208 0.0923944i
\(172\) 296.709 + 913.176i 0.131534 + 0.404820i
\(173\) 2663.82 + 1935.38i 1.17067 + 0.850545i 0.991089 0.133198i \(-0.0425246\pi\)
0.179585 + 0.983743i \(0.442525\pi\)
\(174\) −459.181 −0.200060
\(175\) 1167.64 + 982.903i 0.504373 + 0.424574i
\(176\) −59.9297 −0.0256669
\(177\) −1608.78 1168.85i −0.683183 0.496362i
\(178\) −552.583 1700.67i −0.232684 0.716129i
\(179\) 871.102 + 2680.98i 0.363739 + 1.11947i 0.950767 + 0.309906i \(0.100298\pi\)
−0.587028 + 0.809566i \(0.699702\pi\)
\(180\) −517.901 + 348.736i −0.214456 + 0.144407i
\(181\) 129.046 397.161i 0.0529938 0.163098i −0.921057 0.389428i \(-0.872673\pi\)
0.974051 + 0.226330i \(0.0726727\pi\)
\(182\) −1400.63 −0.570447
\(183\) −331.588 + 1020.52i −0.133944 + 0.412236i
\(184\) −1591.29 + 1156.14i −0.637563 + 0.463217i
\(185\) 1053.13 + 3683.63i 0.418526 + 1.46392i
\(186\) −500.336 363.516i −0.197239 0.143303i
\(187\) −11.1426 + 8.09555i −0.00435736 + 0.00316580i
\(188\) 1699.43 1234.71i 0.659277 0.478992i
\(189\) 266.711 + 193.777i 0.102647 + 0.0745777i
\(190\) 99.3841 + 347.626i 0.0379478 + 0.132734i
\(191\) −421.982 + 306.588i −0.159861 + 0.116146i −0.664840 0.746986i \(-0.731500\pi\)
0.504979 + 0.863132i \(0.331500\pi\)
\(192\) 50.2196 154.560i 0.0188765 0.0580959i
\(193\) −4528.65 −1.68901 −0.844506 0.535547i \(-0.820106\pi\)
−0.844506 + 0.535547i \(0.820106\pi\)
\(194\) 165.312 508.779i 0.0611791 0.188290i
\(195\) 2382.08 1604.01i 0.874793 0.589054i
\(196\) 371.822 + 1144.35i 0.135504 + 0.417037i
\(197\) −859.280 2644.59i −0.310767 0.956444i −0.977462 0.211112i \(-0.932291\pi\)
0.666694 0.745331i \(-0.267709\pi\)
\(198\) 24.2147 + 17.5930i 0.00869124 + 0.00631455i
\(199\) 4988.03 1.77685 0.888423 0.459026i \(-0.151801\pi\)
0.888423 + 0.459026i \(0.151801\pi\)
\(200\) 2019.42 1257.46i 0.713972 0.444578i
\(201\) −1594.13 −0.559410
\(202\) 142.432 + 103.483i 0.0496112 + 0.0360446i
\(203\) 431.060 + 1326.67i 0.149037 + 0.458688i
\(204\) 31.9171 + 98.2309i 0.0109542 + 0.0337134i
\(205\) −106.567 372.749i −0.0363070 0.126995i
\(206\) 7.80032 24.0069i 0.00263822 0.00811961i
\(207\) −930.176 −0.312327
\(208\) 638.776 1965.95i 0.212938 0.655356i
\(209\) −48.4731 + 35.2178i −0.0160428 + 0.0116558i
\(210\) −432.103 338.144i −0.141990 0.111115i
\(211\) −3035.52 2205.44i −0.990398 0.719566i −0.0303898 0.999538i \(-0.509675\pi\)
−0.960008 + 0.279972i \(0.909675\pi\)
\(212\) 3241.08 2354.79i 1.04999 0.762865i
\(213\) 1540.69 1119.38i 0.495618 0.360088i
\(214\) 1985.78 + 1442.76i 0.634324 + 0.460863i
\(215\) 592.991 1625.25i 0.188101 0.515539i
\(216\) 415.710 302.031i 0.130951 0.0951418i
\(217\) −580.575 + 1786.83i −0.181622 + 0.558975i
\(218\) −1792.13 −0.556780
\(219\) 892.655 2747.31i 0.275434 0.847699i
\(220\) 135.618 + 106.128i 0.0415607 + 0.0325235i
\(221\) −146.803 451.812i −0.0446833 0.137521i
\(222\) −425.610 1309.89i −0.128672 0.396010i
\(223\) −1324.82 962.540i −0.397833 0.289042i 0.370825 0.928703i \(-0.379075\pi\)
−0.768658 + 0.639660i \(0.779075\pi\)
\(224\) −2253.94 −0.672312
\(225\) 1122.13 + 80.2428i 0.332484 + 0.0237757i
\(226\) 48.5319 0.0142845
\(227\) 3068.69 + 2229.54i 0.897252 + 0.651892i 0.937759 0.347287i \(-0.112897\pi\)
−0.0405064 + 0.999179i \(0.512897\pi\)
\(228\) 138.848 + 427.330i 0.0403308 + 0.124126i
\(229\) 27.8795 + 85.8041i 0.00804509 + 0.0247603i 0.954998 0.296611i \(-0.0958564\pi\)
−0.946953 + 0.321371i \(0.895856\pi\)
\(230\) 1547.13 + 55.2465i 0.443543 + 0.0158385i
\(231\) 28.0980 86.4767i 0.00800308 0.0246310i
\(232\) 2174.23 0.615280
\(233\) 1118.15 3441.31i 0.314388 0.967587i −0.661617 0.749842i \(-0.730130\pi\)
0.976006 0.217746i \(-0.0698703\pi\)
\(234\) −835.224 + 606.826i −0.233335 + 0.169528i
\(235\) −3782.51 135.070i −1.04997 0.0374935i
\(236\) 3327.52 + 2417.59i 0.917810 + 0.666828i
\(237\) −1380.37 + 1002.90i −0.378332 + 0.274874i
\(238\) −73.4310 + 53.3507i −0.0199993 + 0.0145303i
\(239\) 1189.87 + 864.489i 0.322034 + 0.233971i 0.737043 0.675846i \(-0.236222\pi\)
−0.415009 + 0.909817i \(0.636222\pi\)
\(240\) 671.693 452.294i 0.180657 0.121648i
\(241\) 3192.76 2319.68i 0.853377 0.620014i −0.0726983 0.997354i \(-0.523161\pi\)
0.926075 + 0.377340i \(0.123161\pi\)
\(242\) −548.494 + 1688.09i −0.145696 + 0.448408i
\(243\) 243.000 0.0641500
\(244\) 685.840 2110.80i 0.179944 0.553811i
\(245\) 743.109 2036.69i 0.193778 0.531098i
\(246\) 43.0678 + 132.549i 0.0111622 + 0.0343537i
\(247\) −638.630 1965.50i −0.164514 0.506323i
\(248\) 2369.10 + 1721.25i 0.606605 + 0.440724i
\(249\) −959.513 −0.244203
\(250\) −1861.65 200.113i −0.470963 0.0506251i
\(251\) 3410.52 0.857649 0.428825 0.903388i \(-0.358928\pi\)
0.428825 + 0.903388i \(0.358928\pi\)
\(252\) −551.651 400.798i −0.137900 0.100190i
\(253\) 79.2789 + 243.995i 0.0197005 + 0.0606318i
\(254\) −578.623 1780.82i −0.142937 0.439915i
\(255\) 63.7884 174.829i 0.0156650 0.0429341i
\(256\) −715.268 + 2201.37i −0.174626 + 0.537443i
\(257\) −6919.87 −1.67957 −0.839785 0.542918i \(-0.817319\pi\)
−0.839785 + 0.542918i \(0.817319\pi\)
\(258\) −192.191 + 591.504i −0.0463771 + 0.142734i
\(259\) −3385.00 + 2459.35i −0.812099 + 0.590024i
\(260\) −4926.98 + 3317.65i −1.17522 + 0.791353i
\(261\) 831.832 + 604.361i 0.197276 + 0.143330i
\(262\) 3076.13 2234.94i 0.725358 0.527003i
\(263\) −3081.19 + 2238.62i −0.722413 + 0.524863i −0.887154 0.461473i \(-0.847321\pi\)
0.164742 + 0.986337i \(0.447321\pi\)
\(264\) −114.657 83.3032i −0.0267297 0.0194203i
\(265\) −7213.83 257.598i −1.67223 0.0597138i
\(266\) −319.444 + 232.090i −0.0736330 + 0.0534975i
\(267\) −1237.35 + 3808.16i −0.283612 + 0.872869i
\(268\) 3297.22 0.751529
\(269\) 799.222 2459.75i 0.181150 0.557523i −0.818711 0.574206i \(-0.805311\pi\)
0.999861 + 0.0166834i \(0.00531073\pi\)
\(270\) −404.174 14.4327i −0.0911010 0.00325312i
\(271\) 329.230 + 1013.27i 0.0737981 + 0.227127i 0.981151 0.193242i \(-0.0619004\pi\)
−0.907353 + 0.420370i \(0.861900\pi\)
\(272\) −41.3950 127.401i −0.00922772 0.0284000i
\(273\) 2537.32 + 1843.47i 0.562510 + 0.408688i
\(274\) −1085.60 −0.239356
\(275\) −74.5909 301.187i −0.0163564 0.0660446i
\(276\) 1923.93 0.419590
\(277\) 1996.88 + 1450.82i 0.433144 + 0.314698i 0.782905 0.622141i \(-0.213737\pi\)
−0.349761 + 0.936839i \(0.613737\pi\)
\(278\) −1300.17 4001.51i −0.280500 0.863290i
\(279\) 427.938 + 1317.06i 0.0918280 + 0.282617i
\(280\) 2046.01 + 1601.12i 0.436688 + 0.341732i
\(281\) 960.683 2956.68i 0.203948 0.627689i −0.795806 0.605551i \(-0.792953\pi\)
0.999755 0.0221378i \(-0.00704725\pi\)
\(282\) 1360.66 0.287327
\(283\) −1994.41 + 6138.15i −0.418923 + 1.28931i 0.489772 + 0.871851i \(0.337080\pi\)
−0.908695 + 0.417461i \(0.862920\pi\)
\(284\) −3186.69 + 2315.27i −0.665829 + 0.483753i
\(285\) 277.496 760.551i 0.0576753 0.158074i
\(286\) 230.363 + 167.369i 0.0476282 + 0.0346039i
\(287\) 342.530 248.863i 0.0704493 0.0511844i
\(288\) −1344.08 + 976.528i −0.275001 + 0.199800i
\(289\) 3949.79 + 2869.69i 0.803948 + 0.584102i
\(290\) −1347.67 1054.62i −0.272888 0.213550i
\(291\) −969.115 + 704.103i −0.195225 + 0.141839i
\(292\) −1846.32 + 5682.39i −0.370027 + 1.13883i
\(293\) 835.063 0.166501 0.0832507 0.996529i \(-0.473470\pi\)
0.0832507 + 0.996529i \(0.473470\pi\)
\(294\) −240.845 + 741.246i −0.0477768 + 0.147042i
\(295\) −2037.12 7125.46i −0.402054 1.40631i
\(296\) 2015.27 + 6202.36i 0.395727 + 1.21792i
\(297\) −20.7109 63.7415i −0.00404635 0.0124534i
\(298\) 1092.84 + 793.996i 0.212438 + 0.154346i
\(299\) −8849.10 −1.71156
\(300\) −2320.97 165.970i −0.446670 0.0319410i
\(301\) 1889.39 0.361803
\(302\) 2344.42 + 1703.32i 0.446709 + 0.324553i
\(303\) −121.822 374.930i −0.0230973 0.0710863i
\(304\) −180.079 554.227i −0.0339745 0.104563i
\(305\) −3317.07 + 2233.60i −0.622738 + 0.419329i
\(306\) −20.6741 + 63.6284i −0.00386229 + 0.0118869i
\(307\) 2681.88 0.498577 0.249289 0.968429i \(-0.419803\pi\)
0.249289 + 0.968429i \(0.419803\pi\)
\(308\) −58.1164 + 178.864i −0.0107516 + 0.0330900i
\(309\) −45.7280 + 33.2233i −0.00841868 + 0.00611653i
\(310\) −633.552 2216.04i −0.116075 0.406009i
\(311\) −6580.24 4780.83i −1.19978 0.871691i −0.205516 0.978654i \(-0.565887\pi\)
−0.994263 + 0.106963i \(0.965887\pi\)
\(312\) 3954.80 2873.33i 0.717617 0.521379i
\(313\) −6248.59 + 4539.87i −1.12841 + 0.819835i −0.985462 0.169895i \(-0.945657\pi\)
−0.142944 + 0.989731i \(0.545657\pi\)
\(314\) 2838.32 + 2062.16i 0.510113 + 0.370619i
\(315\) 337.723 + 1181.29i 0.0604081 + 0.211296i
\(316\) 2855.09 2074.34i 0.508263 0.369275i
\(317\) 995.186 3062.87i 0.176326 0.542674i −0.823366 0.567511i \(-0.807907\pi\)
0.999692 + 0.0248365i \(0.00790650\pi\)
\(318\) 2594.99 0.457610
\(319\) 87.6335 269.708i 0.0153810 0.0473378i
\(320\) 502.377 338.282i 0.0877616 0.0590955i
\(321\) −1698.44 5227.27i −0.295320 0.908903i
\(322\) 522.458 + 1607.96i 0.0904206 + 0.278286i
\(323\) −108.349 78.7200i −0.0186647 0.0135607i
\(324\) −502.609 −0.0861812
\(325\) 10675.3 + 763.379i 1.82202 + 0.130291i
\(326\) −433.083 −0.0735774
\(327\) 3246.54 + 2358.75i 0.549034 + 0.398896i
\(328\) −203.927 627.622i −0.0343292 0.105654i
\(329\) −1277.33 3931.22i −0.214047 0.658770i
\(330\) 30.6619 + 107.249i 0.00511480 + 0.0178906i
\(331\) 1297.25 3992.52i 0.215417 0.662987i −0.783706 0.621132i \(-0.786673\pi\)
0.999124 0.0418550i \(-0.0133268\pi\)
\(332\) 1984.61 0.328071
\(333\) −953.029 + 2933.12i −0.156834 + 0.482685i
\(334\) −172.324 + 125.201i −0.0282309 + 0.0205110i
\(335\) −4678.67 3661.31i −0.763054 0.597131i
\(336\) 715.465 + 519.816i 0.116166 + 0.0843996i
\(337\) −1039.69 + 755.378i −0.168058 + 0.122101i −0.668635 0.743591i \(-0.733121\pi\)
0.500577 + 0.865692i \(0.333121\pi\)
\(338\) −5564.48 + 4042.83i −0.895467 + 0.650595i
\(339\) −87.9184 63.8764i −0.0140858 0.0102339i
\(340\) −131.937 + 361.607i −0.0210449 + 0.0576791i
\(341\) 309.006 224.506i 0.0490721 0.0356530i
\(342\) −89.9379 + 276.800i −0.0142201 + 0.0437650i
\(343\) 6555.77 1.03201
\(344\) 910.028 2800.78i 0.142632 0.438976i
\(345\) −2730.01 2136.38i −0.426025 0.333388i
\(346\) −1363.19 4195.47i −0.211808 0.651878i
\(347\) −96.1696 295.980i −0.0148780 0.0457897i 0.943342 0.331822i \(-0.107663\pi\)
−0.958220 + 0.286033i \(0.907663\pi\)
\(348\) −1720.52 1250.03i −0.265027 0.192554i
\(349\) −3853.76 −0.591081 −0.295540 0.955330i \(-0.595500\pi\)
−0.295540 + 0.955330i \(0.595500\pi\)
\(350\) −491.564 1984.86i −0.0750719 0.303129i
\(351\) 2311.75 0.351544
\(352\) 370.709 + 269.336i 0.0561331 + 0.0407831i
\(353\) 371.671 + 1143.89i 0.0560398 + 0.172473i 0.975159 0.221508i \(-0.0710978\pi\)
−0.919119 + 0.393980i \(0.871098\pi\)
\(354\) 823.282 + 2533.80i 0.123607 + 0.380424i
\(355\) 7092.77 + 253.276i 1.06041 + 0.0378661i
\(356\) 2559.27 7876.61i 0.381014 1.17264i
\(357\) 203.243 0.0301310
\(358\) 1167.07 3591.86i 0.172295 0.530268i
\(359\) −8830.61 + 6415.81i −1.29822 + 0.943213i −0.999937 0.0112636i \(-0.996415\pi\)
−0.298285 + 0.954477i \(0.596415\pi\)
\(360\) 1913.77 + 68.3388i 0.280180 + 0.0100049i
\(361\) 5077.70 + 3689.17i 0.740298 + 0.537858i
\(362\) −452.632 + 328.856i −0.0657177 + 0.0477467i
\(363\) 3215.45 2336.16i 0.464924 0.337787i
\(364\) −5248.05 3812.93i −0.755694 0.549044i
\(365\) 8929.76 6012.98i 1.28056 0.862284i
\(366\) 1163.06 845.010i 0.166104 0.120681i
\(367\) −44.8963 + 138.177i −0.00638575 + 0.0196533i −0.954199 0.299174i \(-0.903289\pi\)
0.947813 + 0.318827i \(0.103289\pi\)
\(368\) −2495.24 −0.353461
\(369\) 96.4377 296.805i 0.0136053 0.0418727i
\(370\) 1759.35 4821.97i 0.247201 0.677520i
\(371\) −2436.07 7497.45i −0.340901 1.04919i
\(372\) −885.126 2724.14i −0.123365 0.379677i
\(373\) 2847.26 + 2068.66i 0.395243 + 0.287161i 0.767601 0.640929i \(-0.221451\pi\)
−0.372358 + 0.928089i \(0.621451\pi\)
\(374\) 18.4525 0.00255122
\(375\) 3109.10 + 2812.77i 0.428141 + 0.387335i
\(376\) −6442.75 −0.883669
\(377\) 7913.51 + 5749.50i 1.08108 + 0.785450i
\(378\) −136.487 420.065i −0.0185718 0.0571582i
\(379\) −124.955 384.571i −0.0169354 0.0521217i 0.942232 0.334962i \(-0.108723\pi\)
−0.959167 + 0.282840i \(0.908723\pi\)
\(380\) −573.959 + 1573.08i −0.0774828 + 0.212362i
\(381\) −1295.66 + 3987.62i −0.174222 + 0.536200i
\(382\) 698.816 0.0935982
\(383\) −1292.81 + 3978.86i −0.172479 + 0.530836i −0.999509 0.0313212i \(-0.990029\pi\)
0.827030 + 0.562158i \(0.190029\pi\)
\(384\) 3408.05 2476.10i 0.452908 0.329057i
\(385\) 281.081 189.270i 0.0372083 0.0250547i
\(386\) 4908.55 + 3566.27i 0.647250 + 0.470255i
\(387\) 1126.69 818.586i 0.147991 0.107522i
\(388\) 2004.47 1456.33i 0.262272 0.190551i
\(389\) 8299.40 + 6029.87i 1.08174 + 0.785929i 0.977985 0.208674i \(-0.0669147\pi\)
0.103754 + 0.994603i \(0.466915\pi\)
\(390\) −3845.05 137.303i −0.499236 0.0178272i
\(391\) −463.934 + 337.067i −0.0600054 + 0.0435965i
\(392\) 1140.41 3509.81i 0.146937 0.452225i
\(393\) −8514.15 −1.09283
\(394\) −1151.23 + 3543.12i −0.147203 + 0.453045i
\(395\) −6354.70 226.920i −0.809468 0.0289053i
\(396\) 42.8373 + 131.840i 0.00543600 + 0.0167303i
\(397\) −3149.37 9692.75i −0.398142 1.22535i −0.926488 0.376325i \(-0.877188\pi\)
0.528346 0.849029i \(-0.322812\pi\)
\(398\) −5406.47 3928.03i −0.680909 0.494710i
\(399\) 884.161 0.110936
\(400\) 3010.18 + 215.255i 0.376273 + 0.0269069i
\(401\) 5912.32 0.736277 0.368139 0.929771i \(-0.379995\pi\)
0.368139 + 0.929771i \(0.379995\pi\)
\(402\) 1727.86 + 1255.36i 0.214373 + 0.155751i
\(403\) 4071.13 + 12529.6i 0.503219 + 1.54875i
\(404\) 251.970 + 775.485i 0.0310297 + 0.0954996i
\(405\) 713.189 + 558.109i 0.0875029 + 0.0684757i
\(406\) 577.516 1777.41i 0.0705952 0.217270i
\(407\) 850.616 0.103596
\(408\) 97.8923 301.281i 0.0118784 0.0365580i
\(409\) −4576.30 + 3324.88i −0.553260 + 0.401967i −0.828986 0.559269i \(-0.811082\pi\)
0.275726 + 0.961236i \(0.411082\pi\)
\(410\) −178.030 + 487.939i −0.0214446 + 0.0587746i
\(411\) 1966.62 + 1428.84i 0.236025 + 0.171482i
\(412\) 94.5814 68.7174i 0.0113099 0.00821714i
\(413\) 6547.80 4757.25i 0.780136 0.566802i
\(414\) 1008.21 + 732.505i 0.119688 + 0.0869581i
\(415\) −2816.11 2203.76i −0.333102 0.260670i
\(416\) −12786.7 + 9290.05i −1.50701 + 1.09491i
\(417\) −2911.35 + 8960.21i −0.341893 + 1.05224i
\(418\) 80.2731 0.00939303
\(419\) 4234.75 13033.2i 0.493749 1.51960i −0.325148 0.945663i \(-0.605414\pi\)
0.818897 0.573940i \(-0.194586\pi\)
\(420\) −698.529 2443.32i −0.0811541 0.283861i
\(421\) 2847.48 + 8763.66i 0.329639 + 1.01452i 0.969303 + 0.245869i \(0.0790734\pi\)
−0.639664 + 0.768654i \(0.720927\pi\)
\(422\) 1553.41 + 4780.89i 0.179191 + 0.551493i
\(423\) −2464.92 1790.87i −0.283329 0.205851i
\(424\) −12287.3 −1.40737
\(425\) 588.752 366.606i 0.0671969 0.0418423i
\(426\) −2551.44 −0.290183
\(427\) −3533.23 2567.04i −0.400434 0.290932i
\(428\) 3512.97 + 10811.8i 0.396743 + 1.22105i
\(429\) −197.030 606.396i −0.0221741 0.0682449i
\(430\) −1922.60 + 1294.61i −0.215619 + 0.145190i
\(431\) 2337.94 7195.44i 0.261287 0.804158i −0.731239 0.682121i \(-0.761058\pi\)
0.992526 0.122036i \(-0.0389424\pi\)
\(432\) 651.859 0.0725986
\(433\) 1250.50 3848.63i 0.138788 0.427144i −0.857372 0.514697i \(-0.827905\pi\)
0.996160 + 0.0875525i \(0.0279046\pi\)
\(434\) 2036.39 1479.52i 0.225230 0.163639i
\(435\) 1053.31 + 3684.27i 0.116097 + 0.406085i
\(436\) −6714.97 4878.71i −0.737589 0.535890i
\(437\) −2018.23 + 1466.33i −0.220927 + 0.160513i
\(438\) −3131.02 + 2274.82i −0.341566 + 0.248162i
\(439\) −3157.92 2294.36i −0.343324 0.249440i 0.402739 0.915315i \(-0.368058\pi\)
−0.746063 + 0.665875i \(0.768058\pi\)
\(440\) −145.185 507.828i −0.0157305 0.0550221i
\(441\) 1411.91 1025.81i 0.152458 0.110767i
\(442\) −196.680 + 605.320i −0.0211654 + 0.0651405i
\(443\) 2288.91 0.245484 0.122742 0.992439i \(-0.460831\pi\)
0.122742 + 0.992439i \(0.460831\pi\)
\(444\) 1971.20 6066.72i 0.210696 0.648454i
\(445\) −12377.9 + 8334.84i −1.31858 + 0.887887i
\(446\) 677.968 + 2086.57i 0.0719792 + 0.221529i
\(447\) −934.710 2876.74i −0.0989044 0.304396i
\(448\) 535.115 + 388.784i 0.0564326 + 0.0410007i
\(449\) 10025.3 1.05373 0.526863 0.849950i \(-0.323368\pi\)
0.526863 + 0.849950i \(0.323368\pi\)
\(450\) −1153.08 970.645i −0.120792 0.101681i
\(451\) −86.0745 −0.00898690
\(452\) 181.846 + 132.119i 0.0189232 + 0.0137485i
\(453\) −2005.19 6171.33i −0.207973 0.640075i
\(454\) −1570.38 4833.13i −0.162338 0.499626i
\(455\) 3212.88 + 11238.0i 0.331038 + 1.15791i
\(456\) 425.857 1310.65i 0.0437337 0.134599i
\(457\) −3293.06 −0.337075 −0.168537 0.985695i \(-0.553904\pi\)
−0.168537 + 0.985695i \(0.553904\pi\)
\(458\) 37.3518 114.957i 0.00381077 0.0117283i
\(459\) 121.198 88.0558i 0.0123247 0.00895445i
\(460\) 5646.61 + 4418.77i 0.572336 + 0.447884i
\(461\) 672.561 + 488.644i 0.0679486 + 0.0493676i 0.621241 0.783620i \(-0.286629\pi\)
−0.553292 + 0.832987i \(0.686629\pi\)
\(462\) −98.5547 + 71.6042i −0.00992463 + 0.00721067i
\(463\) 7302.69 5305.71i 0.733012 0.532565i −0.157503 0.987519i \(-0.550344\pi\)
0.890515 + 0.454954i \(0.150344\pi\)
\(464\) 2231.43 + 1621.23i 0.223258 + 0.162206i
\(465\) −1768.98 + 4848.35i −0.176418 + 0.483520i
\(466\) −3921.95 + 2849.46i −0.389873 + 0.283259i
\(467\) 406.581 1251.33i 0.0402876 0.123992i −0.928890 0.370356i \(-0.879236\pi\)
0.969177 + 0.246364i \(0.0792357\pi\)
\(468\) −4781.49 −0.472275
\(469\) 2004.95 6170.62i 0.197399 0.607532i
\(470\) 3993.45 + 3125.09i 0.391924 + 0.306702i
\(471\) −2427.62 7471.44i −0.237492 0.730925i
\(472\) −3898.25 11997.6i −0.380152 1.16999i
\(473\) −310.751 225.774i −0.0302080 0.0219474i
\(474\) 2285.94 0.221512
\(475\) 2561.23 1594.83i 0.247404 0.154054i
\(476\) −420.378 −0.0404790
\(477\) −4700.97 3415.46i −0.451243 0.327847i
\(478\) −608.906 1874.02i −0.0582651 0.179321i
\(479\) 2883.48 + 8874.45i 0.275052 + 0.846522i 0.989206 + 0.146533i \(0.0468116\pi\)
−0.714154 + 0.699989i \(0.753188\pi\)
\(480\) −6187.61 220.953i −0.588384 0.0210106i
\(481\) −9066.51 + 27903.8i −0.859454 + 2.64513i
\(482\) −5287.32 −0.499649
\(483\) 1169.89 3600.56i 0.110211 0.339195i
\(484\) −6650.67 + 4831.99i −0.624593 + 0.453794i
\(485\) −4461.43 159.313i −0.417698 0.0149155i
\(486\) −263.385 191.360i −0.0245831 0.0178607i
\(487\) 1662.91 1208.18i 0.154731 0.112418i −0.507726 0.861519i \(-0.669514\pi\)
0.662457 + 0.749100i \(0.269514\pi\)
\(488\) −5507.09 + 4001.14i −0.510849 + 0.371154i
\(489\) 784.554 + 570.012i 0.0725537 + 0.0527134i
\(490\) −2409.32 + 1622.35i −0.222126 + 0.149572i
\(491\) −2888.29 + 2098.47i −0.265472 + 0.192877i −0.712556 0.701615i \(-0.752463\pi\)
0.447084 + 0.894492i \(0.352463\pi\)
\(492\) −199.467 + 613.896i −0.0182778 + 0.0562532i
\(493\) 633.886 0.0579083
\(494\) −855.611 + 2633.30i −0.0779266 + 0.239833i
\(495\) 85.6130 234.645i 0.00777377 0.0213061i
\(496\) 1147.97 + 3533.07i 0.103922 + 0.319838i
\(497\) 2395.19 + 7371.63i 0.216175 + 0.665317i
\(498\) 1040.00 + 755.607i 0.0935817 + 0.0679911i
\(499\) −316.957 −0.0284347 −0.0142174 0.999899i \(-0.504526\pi\)
−0.0142174 + 0.999899i \(0.504526\pi\)
\(500\) −6430.69 5817.78i −0.575179 0.520358i
\(501\) 476.960 0.0425329
\(502\) −3696.62 2685.75i −0.328662 0.238787i
\(503\) −3270.63 10066.0i −0.289921 0.892285i −0.984880 0.173236i \(-0.944578\pi\)
0.694959 0.719049i \(-0.255422\pi\)
\(504\) 646.270 + 1989.01i 0.0571173 + 0.175789i
\(505\) 503.578 1380.19i 0.0443741 0.121619i
\(506\) 106.215 326.895i 0.00933165 0.0287199i
\(507\) 15401.4 1.34912
\(508\) 2679.87 8247.79i 0.234055 0.720348i
\(509\) 11989.3 8710.74i 1.04404 0.758540i 0.0729705 0.997334i \(-0.476752\pi\)
0.971070 + 0.238794i \(0.0767521\pi\)
\(510\) −206.816 + 139.262i −0.0179568 + 0.0120914i
\(511\) 9511.68 + 6910.64i 0.823428 + 0.598256i
\(512\) −6579.32 + 4780.15i −0.567905 + 0.412607i
\(513\) 527.245 383.066i 0.0453771 0.0329684i
\(514\) 7500.37 + 5449.34i 0.643632 + 0.467626i
\(515\) −210.514 7.51724i −0.0180124 0.000643202i
\(516\) −2330.38 + 1693.12i −0.198816 + 0.144449i
\(517\) −259.679 + 799.209i −0.0220903 + 0.0679868i
\(518\) 5605.67 0.475481
\(519\) −3052.47 + 9394.53i −0.258167 + 0.794555i
\(520\) 18206.4 + 650.131i 1.53539 + 0.0548272i
\(521\) 1266.26 + 3897.16i 0.106480 + 0.327711i 0.990075 0.140541i \(-0.0448841\pi\)
−0.883595 + 0.468252i \(0.844884\pi\)
\(522\) −425.684 1310.12i −0.0356929 0.109851i
\(523\) −4884.26 3548.62i −0.408363 0.296693i 0.364576 0.931174i \(-0.381214\pi\)
−0.772939 + 0.634481i \(0.781214\pi\)
\(524\) 17610.2 1.46814
\(525\) −1721.93 + 4242.67i −0.143145 + 0.352696i
\(526\) 5102.56 0.422970
\(527\) 690.700 + 501.823i 0.0570918 + 0.0414796i
\(528\) −55.5579 170.990i −0.00457926 0.0140935i
\(529\) −458.945 1412.49i −0.0377204 0.116092i
\(530\) 7616.13 + 5960.03i 0.624195 + 0.488467i
\(531\) 1843.50 5673.71i 0.150661 0.463687i
\(532\) −1828.75 −0.149035
\(533\) 917.446 2823.61i 0.0745573 0.229464i
\(534\) 4340.04 3153.22i 0.351708 0.255531i
\(535\) 7020.89 19242.6i 0.567364 1.55501i
\(536\) −8181.44 5944.17i −0.659300 0.479009i
\(537\) −6841.73 + 4970.81i −0.549799 + 0.399453i
\(538\) −2803.30 + 2036.72i −0.224645 + 0.163214i
\(539\) −389.419 282.930i −0.0311196 0.0226097i
\(540\) −1475.12 1154.36i −0.117554 0.0919925i
\(541\) −3971.18 + 2885.23i −0.315590 + 0.229290i −0.734291 0.678834i \(-0.762485\pi\)
0.418701 + 0.908124i \(0.362485\pi\)
\(542\) 441.089 1357.53i 0.0349564 0.107585i
\(543\) 1252.80 0.0990107
\(544\) −316.505 + 974.104i −0.0249450 + 0.0767727i
\(545\) 4110.94 + 14379.3i 0.323107 + 1.13016i
\(546\) −1298.45 3996.23i −0.101774 0.313228i
\(547\) −5430.58 16713.6i −0.424488 1.30644i −0.903484 0.428623i \(-0.858999\pi\)
0.478995 0.877817i \(-0.341001\pi\)
\(548\) −4067.66 2955.33i −0.317084 0.230375i
\(549\) −3219.12 −0.250253
\(550\) −156.334 + 385.193i −0.0121202 + 0.0298630i
\(551\) 2757.57 0.213206
\(552\) −4773.87 3468.42i −0.368097 0.267438i
\(553\) −2145.95 6604.54i −0.165018 0.507873i
\(554\) −1021.89 3145.05i −0.0783680 0.241192i
\(555\) −9533.72 + 6419.66i −0.729160 + 0.490990i
\(556\) 6021.68 18532.8i 0.459310 1.41361i
\(557\) −23625.5 −1.79721 −0.898603 0.438764i \(-0.855417\pi\)
−0.898603 + 0.438764i \(0.855417\pi\)
\(558\) 573.335 1764.54i 0.0434968 0.133869i
\(559\) 10718.6 7787.50i 0.810997 0.589224i
\(560\) 905.959 + 3168.87i 0.0683638 + 0.239123i
\(561\) −33.4277 24.2867i −0.00251572 0.00182778i
\(562\) −3369.63 + 2448.18i −0.252917 + 0.183755i
\(563\) 18736.1 13612.6i 1.40254 1.01901i 0.408188 0.912898i \(-0.366161\pi\)
0.994355 0.106109i \(-0.0338391\pi\)
\(564\) 5098.30 + 3704.13i 0.380634 + 0.276546i
\(565\) −111.327 389.399i −0.00828947 0.0289950i
\(566\) 6995.45 5082.49i 0.519507 0.377444i
\(567\) −305.624 + 940.612i −0.0226367 + 0.0696684i
\(568\) 12081.1 0.892452
\(569\) −2625.00 + 8078.93i −0.193402 + 0.595231i 0.806589 + 0.591112i \(0.201311\pi\)
−0.999992 + 0.00411844i \(0.998689\pi\)
\(570\) −899.702 + 605.827i −0.0661129 + 0.0445180i
\(571\) 4777.92 + 14704.9i 0.350174 + 1.07773i 0.958755 + 0.284234i \(0.0917393\pi\)
−0.608580 + 0.793492i \(0.708261\pi\)
\(572\) 407.526 + 1254.24i 0.0297894 + 0.0916823i
\(573\) −1265.94 919.763i −0.0922960 0.0670570i
\(574\) −567.242 −0.0412478
\(575\) −3105.68 12540.3i −0.225245 0.909505i
\(576\) 487.542 0.0352678
\(577\) −21389.0 15540.0i −1.54322 1.12121i −0.948278 0.317440i \(-0.897177\pi\)
−0.594937 0.803772i \(-0.702823\pi\)
\(578\) −2021.28 6220.85i −0.145457 0.447670i
\(579\) −4198.29 12921.0i −0.301338 0.927424i
\(580\) −2178.61 7620.35i −0.155969 0.545548i
\(581\) 1206.79 3714.11i 0.0861722 0.265211i
\(582\) 1604.89 0.114304
\(583\) −495.248 + 1524.22i −0.0351819 + 0.108279i
\(584\) 14825.4 10771.3i 1.05048 0.763219i
\(585\) 6784.82 + 5309.49i 0.479518 + 0.375249i
\(586\) −905.115 657.605i −0.0638054 0.0463573i
\(587\) 4812.71 3496.64i 0.338402 0.245863i −0.405585 0.914057i \(-0.632932\pi\)
0.743987 + 0.668194i \(0.232932\pi\)
\(588\) −2920.33 + 2121.74i −0.204817 + 0.148808i
\(589\) 3004.73 + 2183.06i 0.210200 + 0.152719i
\(590\) −3403.22 + 9327.41i −0.237472 + 0.650853i
\(591\) 6748.87 4903.34i 0.469732 0.341280i
\(592\) −2556.55 + 7868.24i −0.177489 + 0.546255i
\(593\) −11755.3 −0.814054 −0.407027 0.913416i \(-0.633434\pi\)
−0.407027 + 0.913416i \(0.633434\pi\)
\(594\) −27.7476 + 85.3983i −0.00191666 + 0.00589888i
\(595\) 596.506 + 466.798i 0.0410998 + 0.0321628i
\(596\) 1933.30 + 5950.10i 0.132871 + 0.408936i
\(597\) 4624.16 + 14231.7i 0.317009 + 0.975653i
\(598\) 9591.43 + 6968.58i 0.655891 + 0.476533i
\(599\) −10184.4 −0.694698 −0.347349 0.937736i \(-0.612918\pi\)
−0.347349 + 0.937736i \(0.612918\pi\)
\(600\) 5459.84 + 4596.02i 0.371495 + 0.312719i
\(601\) −16384.2 −1.11202 −0.556012 0.831174i \(-0.687669\pi\)
−0.556012 + 0.831174i \(0.687669\pi\)
\(602\) −2047.89 1487.88i −0.138648 0.100733i
\(603\) −1477.84 4548.33i −0.0998049 0.307168i
\(604\) 4147.42 + 12764.4i 0.279398 + 0.859897i
\(605\) 14802.7 + 528.589i 0.994737 + 0.0355210i
\(606\) −163.212 + 502.316i −0.0109407 + 0.0336719i
\(607\) 20161.1 1.34813 0.674066 0.738672i \(-0.264547\pi\)
0.674066 + 0.738672i \(0.264547\pi\)
\(608\) −1376.88 + 4237.61i −0.0918420 + 0.282661i
\(609\) −3385.59 + 2459.77i −0.225272 + 0.163670i
\(610\) 5354.27 + 191.195i 0.355390 + 0.0126906i
\(611\) −23449.6 17037.1i −1.55265 1.12807i
\(612\) −250.680 + 182.130i −0.0165574 + 0.0120297i
\(613\) 2555.01 1856.32i 0.168346 0.122310i −0.500422 0.865781i \(-0.666822\pi\)
0.668768 + 0.743471i \(0.266822\pi\)
\(614\) −2906.86 2111.96i −0.191061 0.138814i
\(615\) 964.724 649.610i 0.0632543 0.0425932i
\(616\) 466.658 339.047i 0.0305230 0.0221763i
\(617\) 2032.29 6254.74i 0.132604 0.408114i −0.862605 0.505877i \(-0.831169\pi\)
0.995210 + 0.0977634i \(0.0311688\pi\)
\(618\) 75.7271 0.00492911
\(619\) −6522.15 + 20073.1i −0.423502 + 1.30340i 0.480920 + 0.876764i \(0.340303\pi\)
−0.904422 + 0.426639i \(0.859697\pi\)
\(620\) 3658.86 10028.1i 0.237006 0.649576i
\(621\) −862.321 2653.95i −0.0557226 0.171497i
\(622\) 3367.39 + 10363.8i 0.217074 + 0.668085i
\(623\) −13184.5 9579.13i −0.847877 0.616019i
\(624\) 6201.37 0.397842
\(625\) 2664.79 + 15396.1i 0.170546 + 0.985350i
\(626\) 10347.9 0.660678
\(627\) −145.419 105.653i −0.00926234 0.00672949i
\(628\) 5021.16 + 15453.5i 0.319054 + 0.981947i
\(629\) 587.542 + 1808.27i 0.0372446 + 0.114627i
\(630\) 564.201 1546.34i 0.0356798 0.0977899i
\(631\) −8297.74 + 25537.8i −0.523499 + 1.61116i 0.243765 + 0.969834i \(0.421617\pi\)
−0.767265 + 0.641331i \(0.778383\pi\)
\(632\) −10824.0 −0.681257
\(633\) 3478.40 10705.4i 0.218411 0.672199i
\(634\) −3490.65 + 2536.11i −0.218662 + 0.158867i
\(635\) −12961.2 + 8727.62i −0.810001 + 0.545425i
\(636\) 9723.25 + 7064.36i 0.606214 + 0.440440i
\(637\) 13432.0 9758.94i 0.835473 0.607007i
\(638\) −307.378 + 223.323i −0.0190740 + 0.0138581i
\(639\) 4622.08 + 3358.14i 0.286145 + 0.207897i
\(640\) 15689.4 + 560.251i 0.969027 + 0.0346029i
\(641\) −20566.4 + 14942.4i −1.26728 + 0.920732i −0.999091 0.0426350i \(-0.986425\pi\)
−0.268188 + 0.963367i \(0.586425\pi\)
\(642\) −2275.50 + 7003.28i −0.139886 + 0.430526i
\(643\) −10481.7 −0.642856 −0.321428 0.946934i \(-0.604163\pi\)
−0.321428 + 0.946934i \(0.604163\pi\)
\(644\) −2419.74 + 7447.21i −0.148061 + 0.455685i
\(645\) 5186.84 + 185.217i 0.316638 + 0.0113068i
\(646\) 55.4467 + 170.647i 0.00337697 + 0.0103932i
\(647\) 5847.14 + 17995.7i 0.355294 + 1.09348i 0.955839 + 0.293891i \(0.0949501\pi\)
−0.600545 + 0.799591i \(0.705050\pi\)
\(648\) 1247.13 + 906.094i 0.0756048 + 0.0549301i
\(649\) −1645.40 −0.0995184
\(650\) −10969.6 9234.09i −0.661946 0.557217i
\(651\) −5636.34 −0.339333
\(652\) −1622.73 1178.98i −0.0974710 0.0708168i
\(653\) −3911.37 12037.9i −0.234401 0.721411i −0.997200 0.0747761i \(-0.976176\pi\)
0.762800 0.646635i \(-0.223824\pi\)
\(654\) −1661.39 5113.24i −0.0993358 0.305724i
\(655\) −24988.5 19554.8i −1.49066 1.16652i
\(656\) 258.699 796.193i 0.0153971 0.0473874i
\(657\) 8666.08 0.514606
\(658\) −1711.32 + 5266.89i −0.101389 + 0.312044i
\(659\) −9820.27 + 7134.84i −0.580491 + 0.421751i −0.838901 0.544284i \(-0.816801\pi\)
0.258410 + 0.966035i \(0.416801\pi\)
\(660\) −177.077 + 485.327i −0.0104435 + 0.0286232i
\(661\) −3379.82 2455.59i −0.198880 0.144495i 0.483888 0.875130i \(-0.339224\pi\)
−0.682768 + 0.730635i \(0.739224\pi\)
\(662\) −4550.14 + 3305.87i −0.267139 + 0.194088i
\(663\) 1153.00 837.706i 0.0675399 0.0490706i
\(664\) −4924.44 3577.81i −0.287809 0.209105i
\(665\) 2594.96 + 2030.69i 0.151320 + 0.118416i
\(666\) 3342.79 2428.68i 0.194490 0.141305i
\(667\) 3648.72 11229.6i 0.211813 0.651892i
\(668\) −986.519 −0.0571401
\(669\) 1518.11 4672.27i 0.0877333 0.270015i
\(670\) 2187.91 + 7652.87i 0.126159 + 0.441278i
\(671\) 274.366 + 844.411i 0.0157851 + 0.0485814i
\(672\) −2089.52 6430.88i −0.119948 0.369162i
\(673\) −6124.43 4449.66i −0.350787 0.254862i 0.398412 0.917206i \(-0.369561\pi\)
−0.749199 + 0.662345i \(0.769561\pi\)
\(674\) 1721.76 0.0983972
\(675\) 811.330 + 3276.03i 0.0462638 + 0.186807i
\(676\) −31855.6 −1.81245
\(677\) 26966.3 + 19592.1i 1.53087 + 1.11224i 0.955754 + 0.294168i \(0.0950424\pi\)
0.575114 + 0.818073i \(0.304958\pi\)
\(678\) 44.9916 + 138.470i 0.00254851 + 0.00784351i
\(679\) −1506.60 4636.84i −0.0851517 0.262070i
\(680\) 979.275 659.408i 0.0552257 0.0371870i
\(681\) −3516.41 + 10822.4i −0.197869 + 0.608979i
\(682\) −511.724 −0.0287315
\(683\) −10789.5 + 33206.6i −0.604463 + 1.86035i −0.104023 + 0.994575i \(0.533172\pi\)
−0.500440 + 0.865771i \(0.666828\pi\)
\(684\) −1090.53 + 792.313i −0.0609610 + 0.0442907i
\(685\) 2490.24 + 8710.38i 0.138901 + 0.485849i
\(686\) −7105.72 5162.61i −0.395478 0.287331i
\(687\) −218.968 + 159.090i −0.0121603 + 0.00883500i
\(688\) 3022.39 2195.90i 0.167482 0.121683i
\(689\) −44722.0 32492.5i −2.47282 1.79661i
\(690\) 1276.64 + 4465.45i 0.0704362 + 0.246372i
\(691\) 27262.3 19807.2i 1.50088 1.09045i 0.530846 0.847468i \(-0.321874\pi\)
0.970031 0.242982i \(-0.0781257\pi\)
\(692\) 6313.57 19431.2i 0.346829 1.06743i
\(693\) 272.781 0.0149525
\(694\) −128.844 + 396.542i −0.00704735 + 0.0216895i
\(695\) −29124.0 + 19611.0i −1.58955 + 1.07034i
\(696\) 2015.62 + 6203.44i 0.109773 + 0.337846i
\(697\) −59.4539 182.980i −0.00323095 0.00994386i
\(698\) 4177.05 + 3034.80i 0.226510 + 0.164569i
\(699\) 10855.2 0.587385
\(700\) 3561.54 8775.33i 0.192305 0.473823i
\(701\) 23077.6 1.24341 0.621704 0.783252i \(-0.286441\pi\)
0.621704 + 0.783252i \(0.286441\pi\)
\(702\) −2505.67 1820.48i −0.134716 0.0978768i
\(703\) 2555.96 + 7866.45i 0.137127 + 0.422032i
\(704\) −41.5532 127.888i −0.00222457 0.00684651i
\(705\) −3121.20 10917.4i −0.166739 0.583222i
\(706\) 497.950 1532.53i 0.0265447 0.0816963i
\(707\) 1604.51 0.0853518
\(708\) −3813.00 + 11735.2i −0.202403 + 0.622932i
\(709\) 15178.3 11027.7i 0.803997 0.584138i −0.108087 0.994141i \(-0.534472\pi\)
0.912084 + 0.410003i \(0.134472\pi\)
\(710\) −7488.32 5860.02i −0.395819 0.309750i
\(711\) −4141.11 3008.69i −0.218430 0.158699i
\(712\) −20550.2 + 14930.6i −1.08167 + 0.785880i
\(713\) 12865.8 9347.55i 0.675776 0.490980i
\(714\) −220.293 160.052i −0.0115466 0.00838908i
\(715\) 814.467 2232.26i 0.0426005 0.116758i
\(716\) 14151.1 10281.4i 0.738618 0.536637i
\(717\) −1363.47 + 4196.32i −0.0710175 + 0.218570i
\(718\) 14623.8 0.760104
\(719\) −4136.61 + 12731.2i −0.214561 + 0.660351i 0.784623 + 0.619973i \(0.212856\pi\)
−0.999184 + 0.0403783i \(0.987144\pi\)
\(720\) 1913.16 + 1497.16i 0.0990270 + 0.0774940i
\(721\) −71.0894 218.791i −0.00367199 0.0113012i
\(722\) −2598.48 7997.29i −0.133941 0.412227i
\(723\) 9578.28 + 6959.03i 0.492697 + 0.357966i
\(724\) −2591.23 −0.133014
\(725\) −5370.44 + 13232.3i −0.275108 + 0.677841i
\(726\) −5324.89 −0.272211
\(727\) 8138.17 + 5912.73i 0.415169 + 0.301638i 0.775691 0.631113i \(-0.217401\pi\)
−0.360522 + 0.932751i \(0.617401\pi\)
\(728\) 6148.19 + 18922.2i 0.313004 + 0.963328i
\(729\) 225.273 + 693.320i 0.0114451 + 0.0352243i
\(730\) −14414.0 514.710i −0.730804 0.0260963i
\(731\) 265.314 816.554i 0.0134241 0.0413151i
\(732\) 6658.27 0.336198
\(733\) −884.238 + 2721.40i −0.0445567 + 0.137131i −0.970860 0.239647i \(-0.922968\pi\)
0.926303 + 0.376779i \(0.122968\pi\)
\(734\) 157.475 114.413i 0.00791897 0.00575347i
\(735\) 6499.91 + 232.105i 0.326194 + 0.0116481i
\(736\) 15434.9 + 11214.1i 0.773013 + 0.561627i
\(737\) −1067.12 + 775.307i −0.0533349 + 0.0387501i
\(738\) −338.259 + 245.759i −0.0168719 + 0.0122582i
\(739\) −24379.0 17712.4i −1.21353 0.881680i −0.217982 0.975953i \(-0.569947\pi\)
−0.995546 + 0.0942726i \(0.969947\pi\)
\(740\) 19719.1 13278.1i 0.979577 0.659611i
\(741\) 5015.87 3644.24i 0.248667 0.180667i
\(742\) −3263.75 + 10044.8i −0.161477 + 0.496975i
\(743\) 1183.79 0.0584508 0.0292254 0.999573i \(-0.490696\pi\)
0.0292254 + 0.999573i \(0.490696\pi\)
\(744\) −2714.75 + 8355.13i −0.133773 + 0.411712i
\(745\) 3863.83 10589.8i 0.190013 0.520781i
\(746\) −1457.06 4484.38i −0.0715106 0.220087i
\(747\) −889.517 2737.65i −0.0435686 0.134090i
\(748\) 69.1401 + 50.2333i 0.00337970 + 0.00245549i
\(749\) 22370.0 1.09130
\(750\) −1154.88 5497.11i −0.0562272 0.267635i
\(751\) 33092.2 1.60793 0.803964 0.594679i \(-0.202721\pi\)
0.803964 + 0.594679i \(0.202721\pi\)
\(752\) −6612.26 4804.08i −0.320644 0.232961i
\(753\) 3161.72 + 9730.78i 0.153014 + 0.470929i
\(754\) −4049.68 12463.6i −0.195598 0.601988i
\(755\) 8288.88 22717.8i 0.399554 1.09508i
\(756\) 632.136 1945.51i 0.0304108 0.0935948i
\(757\) 14001.4 0.672246 0.336123 0.941818i \(-0.390884\pi\)
0.336123 + 0.941818i \(0.390884\pi\)
\(758\) −167.409 + 515.233i −0.00802188 + 0.0246888i
\(759\) −622.664 + 452.392i −0.0297777 + 0.0216348i
\(760\) 4260.10 2868.60i 0.203329 0.136914i
\(761\) 13651.0 + 9918.02i 0.650260 + 0.472441i 0.863360 0.504589i \(-0.168356\pi\)
−0.213100 + 0.977030i \(0.568356\pi\)
\(762\) 4544.56 3301.82i 0.216053 0.156972i
\(763\) −13213.5 + 9600.19i −0.626949 + 0.455505i
\(764\) 2618.41 + 1902.39i 0.123993 + 0.0900864i
\(765\) 557.951 + 19.9239i 0.0263696 + 0.000941632i
\(766\) 4534.58 3294.56i 0.213892 0.155401i
\(767\) 17537.9 53976.0i 0.825627 2.54102i
\(768\) −6943.96 −0.326261
\(769\) 2146.67 6606.78i 0.100665 0.309813i −0.888024 0.459797i \(-0.847922\pi\)
0.988688 + 0.149984i \(0.0479221\pi\)
\(770\) −453.708