Properties

Label 138.5.h.a.7.13
Level $138$
Weight $5$
Character 138.7
Analytic conductor $14.265$
Analytic rank $0$
Dimension $160$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 138 = 2 \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 5 \)
Character orbit: \([\chi]\) \(=\) 138.h (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(14.2650549056\)
Analytic rank: \(0\)
Dimension: \(160\)
Relative dimension: \(16\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 7.13
Character \(\chi\) \(=\) 138.7
Dual form 138.5.h.a.79.13

$q$-expansion

\(f(q)\) \(=\) \(q+(1.85223 - 2.13758i) q^{2} +(4.37128 - 2.80925i) q^{3} +(-1.13852 - 7.91857i) q^{4} +(-26.7504 + 12.2165i) q^{5} +(2.09159 - 14.5473i) q^{6} +(18.8860 + 64.3200i) q^{7} +(-19.0354 - 12.2333i) q^{8} +(11.2162 - 24.5601i) q^{9} +O(q^{10})\) \(q+(1.85223 - 2.13758i) q^{2} +(4.37128 - 2.80925i) q^{3} +(-1.13852 - 7.91857i) q^{4} +(-26.7504 + 12.2165i) q^{5} +(2.09159 - 14.5473i) q^{6} +(18.8860 + 64.3200i) q^{7} +(-19.0354 - 12.2333i) q^{8} +(11.2162 - 24.5601i) q^{9} +(-23.4340 + 79.8088i) q^{10} +(-171.194 + 148.340i) q^{11} +(-27.2220 - 31.4159i) q^{12} +(267.146 + 78.4411i) q^{13} +(172.470 + 78.7646i) q^{14} +(-82.6142 + 128.550i) q^{15} +(-61.4076 + 18.0309i) q^{16} +(-82.5631 - 11.8708i) q^{17} +(-31.7242 - 69.4664i) q^{18} +(-18.4786 + 2.65683i) q^{19} +(127.193 + 197.916i) q^{20} +(263.247 + 228.105i) q^{21} +640.701i q^{22} +(121.909 + 514.761i) q^{23} -117.576 q^{24} +(157.052 - 181.248i) q^{25} +(662.488 - 425.755i) q^{26} +(-19.9662 - 138.868i) q^{27} +(487.820 - 222.780i) q^{28} +(112.790 - 784.469i) q^{29} +(121.767 + 414.699i) q^{30} +(-451.355 - 290.068i) q^{31} +(-75.1981 + 164.661i) q^{32} +(-331.611 + 1129.36i) q^{33} +(-178.300 + 154.498i) q^{34} +(-1290.97 - 1489.86i) q^{35} +(-207.250 - 60.8542i) q^{36} +(-767.998 - 350.733i) q^{37} +(-28.5474 + 44.4207i) q^{38} +(1388.13 - 407.592i) q^{39} +(658.652 + 94.6999i) q^{40} +(1122.64 + 2458.24i) q^{41} +(975.187 - 140.211i) q^{42} +(907.131 + 1411.52i) q^{43} +(1369.55 + 1186.72i) q^{44} +794.014i q^{45} +(1326.15 + 692.863i) q^{46} -2286.05 q^{47} +(-217.776 + 251.327i) q^{48} +(-1760.53 + 1131.42i) q^{49} +(-96.5363 - 671.424i) q^{50} +(-394.254 + 180.050i) q^{51} +(316.991 - 2204.72i) q^{52} +(879.759 + 2996.18i) q^{53} +(-333.824 - 214.536i) q^{54} +(2767.30 - 6059.55i) q^{55} +(427.343 - 1455.39i) q^{56} +(-73.3117 + 63.5249i) q^{57} +(-1467.96 - 1694.11i) q^{58} +(-1165.00 - 342.074i) q^{59} +(1111.99 + 507.830i) q^{60} +(604.982 - 941.370i) q^{61} +(-1456.06 + 427.536i) q^{62} +(1791.53 + 257.583i) q^{63} +(212.692 + 465.732i) q^{64} +(-8104.52 + 1165.25i) q^{65} +(1799.89 + 2800.68i) q^{66} +(-136.201 - 118.019i) q^{67} +667.297i q^{68} +(1978.99 + 1907.69i) q^{69} -5575.88 q^{70} +(2774.25 - 3201.66i) q^{71} +(-513.956 + 330.299i) q^{72} +(-31.2117 - 217.082i) q^{73} +(-2172.23 + 992.023i) q^{74} +(177.348 - 1233.49i) q^{75} +(42.0766 + 143.300i) q^{76} +(-12774.4 - 8209.62i) q^{77} +(1699.87 - 3722.19i) q^{78} +(900.902 - 3068.19i) q^{79} +(1422.40 - 1232.52i) q^{80} +(-477.393 - 550.941i) q^{81} +(7334.08 + 2153.48i) q^{82} +(-5399.02 - 2465.65i) q^{83} +(1506.55 - 2344.24i) q^{84} +(2353.61 - 691.083i) q^{85} +(4697.46 + 675.393i) q^{86} +(-1710.74 - 3745.99i) q^{87} +(5073.44 - 729.450i) q^{88} +(-8391.26 - 13057.1i) q^{89} +(1697.27 + 1470.69i) q^{90} +18664.2i q^{91} +(3937.38 - 1551.41i) q^{92} -2787.87 q^{93} +(-4234.27 + 4886.61i) q^{94} +(461.854 - 296.815i) q^{95} +(133.862 + 931.030i) q^{96} +(538.971 - 246.140i) q^{97} +(-842.386 + 5858.92i) q^{98} +(1723.10 + 5868.35i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 160 q - 128 q^{4} - 432 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 160 q - 128 q^{4} - 432 q^{9} + 208 q^{13} - 1024 q^{16} - 1980 q^{17} - 3828 q^{19} - 3168 q^{20} + 3120 q^{23} + 9768 q^{25} + 4416 q^{26} + 5280 q^{28} - 828 q^{29} - 7748 q^{31} + 16464 q^{35} - 3456 q^{36} - 3520 q^{37} - 9072 q^{39} - 5472 q^{41} - 7216 q^{43} - 1280 q^{46} + 6960 q^{47} + 13888 q^{49} - 7296 q^{50} + 17424 q^{51} + 1664 q^{52} + 14784 q^{53} + 37316 q^{55} - 15840 q^{57} - 9984 q^{58} - 29808 q^{59} - 44968 q^{61} - 8192 q^{64} - 5852 q^{67} - 10584 q^{69} + 4352 q^{70} + 30048 q^{71} + 17084 q^{73} + 4176 q^{75} - 14160 q^{77} - 6912 q^{78} + 28424 q^{79} - 11664 q^{81} - 128 q^{82} - 35904 q^{83} - 91892 q^{85} + 8064 q^{87} - 15312 q^{89} - 6720 q^{92} + 11952 q^{93} + 21248 q^{94} + 224268 q^{95} + 41712 q^{97} + 62976 q^{98} + 17820 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/138\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(97\)
\(\chi(n)\) \(1\) \(e\left(\frac{19}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.85223 2.13758i 0.463056 0.534396i
\(3\) 4.37128 2.80925i 0.485698 0.312139i
\(4\) −1.13852 7.91857i −0.0711574 0.494911i
\(5\) −26.7504 + 12.2165i −1.07002 + 0.488660i −0.870973 0.491331i \(-0.836510\pi\)
−0.199042 + 0.979991i \(0.563783\pi\)
\(6\) 2.09159 14.5473i 0.0580998 0.404093i
\(7\) 18.8860 + 64.3200i 0.385430 + 1.31265i 0.892617 + 0.450817i \(0.148867\pi\)
−0.507187 + 0.861836i \(0.669315\pi\)
\(8\) −19.0354 12.2333i −0.297428 0.191145i
\(9\) 11.2162 24.5601i 0.138472 0.303211i
\(10\) −23.4340 + 79.8088i −0.234340 + 0.798088i
\(11\) −171.194 + 148.340i −1.41483 + 1.22595i −0.476973 + 0.878918i \(0.658266\pi\)
−0.937852 + 0.347035i \(0.887188\pi\)
\(12\) −27.2220 31.4159i −0.189042 0.218166i
\(13\) 267.146 + 78.4411i 1.58074 + 0.464148i 0.950106 0.311929i \(-0.100975\pi\)
0.630638 + 0.776077i \(0.282793\pi\)
\(14\) 172.470 + 78.7646i 0.879951 + 0.401860i
\(15\) −82.6142 + 128.550i −0.367174 + 0.571335i
\(16\) −61.4076 + 18.0309i −0.239873 + 0.0704331i
\(17\) −82.5631 11.8708i −0.285685 0.0410754i −0.00201756 0.999998i \(-0.500642\pi\)
−0.283668 + 0.958923i \(0.591551\pi\)
\(18\) −31.7242 69.4664i −0.0979143 0.214402i
\(19\) −18.4786 + 2.65683i −0.0511874 + 0.00735963i −0.167861 0.985811i \(-0.553686\pi\)
0.116674 + 0.993170i \(0.462777\pi\)
\(20\) 127.193 + 197.916i 0.317982 + 0.494790i
\(21\) 263.247 + 228.105i 0.596933 + 0.517245i
\(22\) 640.701i 1.32376i
\(23\) 121.909 + 514.761i 0.230452 + 0.973084i
\(24\) −117.576 −0.204124
\(25\) 157.052 181.248i 0.251284 0.289997i
\(26\) 662.488 425.755i 0.980012 0.629816i
\(27\) −19.9662 138.868i −0.0273885 0.190491i
\(28\) 487.820 222.780i 0.622220 0.284158i
\(29\) 112.790 784.469i 0.134114 0.932781i −0.805999 0.591917i \(-0.798371\pi\)
0.940113 0.340864i \(-0.110720\pi\)
\(30\) 121.767 + 414.699i 0.135296 + 0.460777i
\(31\) −451.355 290.068i −0.469672 0.301840i 0.284313 0.958731i \(-0.408234\pi\)
−0.753985 + 0.656892i \(0.771871\pi\)
\(32\) −75.1981 + 164.661i −0.0734357 + 0.160802i
\(33\) −331.611 + 1129.36i −0.304510 + 1.03707i
\(34\) −178.300 + 154.498i −0.154239 + 0.133649i
\(35\) −1290.97 1489.86i −1.05386 1.21621i
\(36\) −207.250 60.8542i −0.159915 0.0469554i
\(37\) −767.998 350.733i −0.560992 0.256197i 0.114675 0.993403i \(-0.463417\pi\)
−0.675668 + 0.737207i \(0.736144\pi\)
\(38\) −28.5474 + 44.4207i −0.0197697 + 0.0307622i
\(39\) 1388.13 407.592i 0.912643 0.267976i
\(40\) 658.652 + 94.6999i 0.411658 + 0.0591874i
\(41\) 1122.64 + 2458.24i 0.667842 + 1.46237i 0.875030 + 0.484068i \(0.160841\pi\)
−0.207189 + 0.978301i \(0.566431\pi\)
\(42\) 975.187 140.211i 0.552827 0.0794845i
\(43\) 907.131 + 1411.52i 0.490606 + 0.763398i 0.994979 0.100088i \(-0.0319124\pi\)
−0.504372 + 0.863486i \(0.668276\pi\)
\(44\) 1369.55 + 1186.72i 0.707413 + 0.612977i
\(45\) 794.014i 0.392106i
\(46\) 1326.15 + 692.863i 0.626724 + 0.327440i
\(47\) −2286.05 −1.03488 −0.517439 0.855720i \(-0.673115\pi\)
−0.517439 + 0.855720i \(0.673115\pi\)
\(48\) −217.776 + 251.327i −0.0945210 + 0.109083i
\(49\) −1760.53 + 1131.42i −0.733247 + 0.471229i
\(50\) −96.5363 671.424i −0.0386145 0.268570i
\(51\) −394.254 + 180.050i −0.151578 + 0.0692234i
\(52\) 316.991 2204.72i 0.117230 0.815355i
\(53\) 879.759 + 2996.18i 0.313193 + 1.06664i 0.954217 + 0.299116i \(0.0966918\pi\)
−0.641024 + 0.767521i \(0.721490\pi\)
\(54\) −333.824 214.536i −0.114480 0.0735719i
\(55\) 2767.30 6059.55i 0.914811 2.00316i
\(56\) 427.343 1455.39i 0.136270 0.464093i
\(57\) −73.3117 + 63.5249i −0.0225644 + 0.0195521i
\(58\) −1467.96 1694.11i −0.436372 0.503600i
\(59\) −1165.00 342.074i −0.334673 0.0982690i 0.110078 0.993923i \(-0.464890\pi\)
−0.444752 + 0.895654i \(0.646708\pi\)
\(60\) 1111.99 + 507.830i 0.308887 + 0.141064i
\(61\) 604.982 941.370i 0.162586 0.252989i −0.750396 0.660988i \(-0.770137\pi\)
0.912982 + 0.408000i \(0.133774\pi\)
\(62\) −1456.06 + 427.536i −0.378786 + 0.111222i
\(63\) 1791.53 + 257.583i 0.451381 + 0.0648988i
\(64\) 212.692 + 465.732i 0.0519269 + 0.113704i
\(65\) −8104.52 + 1165.25i −1.91823 + 0.275800i
\(66\) 1799.89 + 2800.68i 0.413198 + 0.642948i
\(67\) −136.201 118.019i −0.0303410 0.0262907i 0.639558 0.768743i \(-0.279117\pi\)
−0.669899 + 0.742452i \(0.733663\pi\)
\(68\) 667.297i 0.144312i
\(69\) 1978.99 + 1907.69i 0.415668 + 0.400692i
\(70\) −5575.88 −1.13793
\(71\) 2774.25 3201.66i 0.550337 0.635123i −0.410624 0.911805i \(-0.634689\pi\)
0.960962 + 0.276682i \(0.0892347\pi\)
\(72\) −513.956 + 330.299i −0.0991427 + 0.0637151i
\(73\) −31.2117 217.082i −0.00585695 0.0407360i 0.986683 0.162653i \(-0.0520050\pi\)
−0.992540 + 0.121917i \(0.961096\pi\)
\(74\) −2172.23 + 992.023i −0.396681 + 0.181158i
\(75\) 177.348 1233.49i 0.0315286 0.219286i
\(76\) 42.0766 + 143.300i 0.00728472 + 0.0248095i
\(77\) −12774.4 8209.62i −2.15457 1.38466i
\(78\) 1699.87 3722.19i 0.279400 0.611800i
\(79\) 900.902 3068.19i 0.144352 0.491619i −0.855296 0.518140i \(-0.826625\pi\)
0.999648 + 0.0265211i \(0.00844290\pi\)
\(80\) 1422.40 1232.52i 0.222250 0.192581i
\(81\) −477.393 550.941i −0.0727623 0.0839722i
\(82\) 7334.08 + 2153.48i 1.09073 + 0.320268i
\(83\) −5399.02 2465.65i −0.783715 0.357911i −0.0169649 0.999856i \(-0.505400\pi\)
−0.766750 + 0.641945i \(0.778128\pi\)
\(84\) 1506.55 2344.24i 0.213514 0.332234i
\(85\) 2353.61 691.083i 0.325760 0.0956516i
\(86\) 4697.46 + 675.393i 0.635135 + 0.0913187i
\(87\) −1710.74 3745.99i −0.226019 0.494912i
\(88\) 5073.44 729.450i 0.655144 0.0941955i
\(89\) −8391.26 13057.1i −1.05937 1.64841i −0.698188 0.715915i \(-0.746010\pi\)
−0.361181 0.932496i \(-0.617626\pi\)
\(90\) 1697.27 + 1470.69i 0.209539 + 0.181567i
\(91\) 18664.2i 2.25386i
\(92\) 3937.38 1551.41i 0.465191 0.183295i
\(93\) −2787.87 −0.322335
\(94\) −4234.27 + 4886.61i −0.479207 + 0.553035i
\(95\) 461.854 296.815i 0.0511749 0.0328881i
\(96\) 133.862 + 931.030i 0.0145249 + 0.101023i
\(97\) 538.971 246.140i 0.0572825 0.0261601i −0.386568 0.922261i \(-0.626339\pi\)
0.443850 + 0.896101i \(0.353612\pi\)
\(98\) −842.386 + 5858.92i −0.0877120 + 0.610050i
\(99\) 1723.10 + 5868.35i 0.175809 + 0.598750i
\(100\) −1614.03 1037.28i −0.161403 0.103728i
\(101\) 2129.84 4663.71i 0.208788 0.457182i −0.776047 0.630675i \(-0.782778\pi\)
0.984835 + 0.173493i \(0.0555055\pi\)
\(102\) −345.377 + 1176.24i −0.0331965 + 0.113057i
\(103\) −9929.66 + 8604.10i −0.935966 + 0.811019i −0.982186 0.187912i \(-0.939828\pi\)
0.0462199 + 0.998931i \(0.485283\pi\)
\(104\) −4125.63 4761.23i −0.381438 0.440203i
\(105\) −9828.61 2885.94i −0.891484 0.261763i
\(106\) 8034.10 + 3669.05i 0.715032 + 0.326544i
\(107\) −466.336 + 725.632i −0.0407316 + 0.0633796i −0.861022 0.508567i \(-0.830175\pi\)
0.820291 + 0.571947i \(0.193812\pi\)
\(108\) −1076.91 + 316.208i −0.0923273 + 0.0271097i
\(109\) 15274.8 + 2196.19i 1.28565 + 0.184849i 0.751044 0.660252i \(-0.229551\pi\)
0.534607 + 0.845101i \(0.320460\pi\)
\(110\) −7827.11 17139.0i −0.646869 1.41645i
\(111\) −4342.43 + 624.348i −0.352442 + 0.0506735i
\(112\) −2319.49 3609.20i −0.184908 0.287723i
\(113\) 9914.09 + 8590.61i 0.776419 + 0.672771i 0.950070 0.312036i \(-0.101011\pi\)
−0.173651 + 0.984807i \(0.555557\pi\)
\(114\) 274.372i 0.0211121i
\(115\) −9549.69 12280.8i −0.722094 0.928602i
\(116\) −6340.29 −0.471187
\(117\) 4922.88 5681.30i 0.359623 0.415027i
\(118\) −2889.05 + 1856.68i −0.207487 + 0.133344i
\(119\) −795.762 5534.65i −0.0561939 0.390837i
\(120\) 3145.19 1436.36i 0.218416 0.0997472i
\(121\) 5218.85 36297.9i 0.356455 2.47920i
\(122\) −891.694 3036.83i −0.0599095 0.204033i
\(123\) 11813.2 + 7591.89i 0.780832 + 0.501810i
\(124\) −1783.05 + 3904.33i −0.115963 + 0.253924i
\(125\) 3191.24 10868.3i 0.204239 0.695574i
\(126\) 3868.93 3352.45i 0.243697 0.211164i
\(127\) 17330.7 + 20000.7i 1.07451 + 1.24005i 0.969374 + 0.245590i \(0.0789817\pi\)
0.105134 + 0.994458i \(0.466473\pi\)
\(128\) 1389.49 + 407.992i 0.0848080 + 0.0249019i
\(129\) 7930.65 + 3621.81i 0.476573 + 0.217644i
\(130\) −12520.6 + 19482.4i −0.740863 + 1.15280i
\(131\) 28258.7 8297.51i 1.64668 0.483510i 0.678677 0.734437i \(-0.262554\pi\)
0.968006 + 0.250927i \(0.0807355\pi\)
\(132\) 9320.50 + 1340.08i 0.534923 + 0.0769103i
\(133\) −519.876 1138.37i −0.0293898 0.0643546i
\(134\) −504.550 + 72.5433i −0.0280992 + 0.00404006i
\(135\) 2230.58 + 3470.86i 0.122391 + 0.190445i
\(136\) 1426.40 + 1235.98i 0.0771195 + 0.0668244i
\(137\) 28451.5i 1.51588i 0.652325 + 0.757940i \(0.273794\pi\)
−0.652325 + 0.757940i \(0.726206\pi\)
\(138\) 7743.39 696.786i 0.406605 0.0365882i
\(139\) 29755.2 1.54005 0.770023 0.638016i \(-0.220244\pi\)
0.770023 + 0.638016i \(0.220244\pi\)
\(140\) −10327.8 + 11918.9i −0.526928 + 0.608107i
\(141\) −9992.95 + 6422.08i −0.502638 + 0.323026i
\(142\) −1705.26 11860.4i −0.0845698 0.588196i
\(143\) −57369.7 + 26199.9i −2.80550 + 1.28123i
\(144\) −245.920 + 1710.41i −0.0118596 + 0.0824851i
\(145\) 6566.29 + 22362.7i 0.312309 + 1.06363i
\(146\) −521.842 335.367i −0.0244812 0.0157331i
\(147\) −4517.31 + 9891.53i −0.209048 + 0.457750i
\(148\) −1902.92 + 6480.76i −0.0868757 + 0.295871i
\(149\) 10106.7 8757.54i 0.455238 0.394466i −0.396834 0.917890i \(-0.629891\pi\)
0.852072 + 0.523424i \(0.175346\pi\)
\(150\) −2308.19 2663.79i −0.102586 0.118391i
\(151\) −10012.3 2939.88i −0.439117 0.128936i 0.0546987 0.998503i \(-0.482580\pi\)
−0.493816 + 0.869566i \(0.664398\pi\)
\(152\) 384.250 + 175.481i 0.0166313 + 0.00759527i
\(153\) −1217.59 + 1894.61i −0.0520138 + 0.0809351i
\(154\) −41209.9 + 12100.3i −1.73764 + 0.510217i
\(155\) 15617.5 + 2245.46i 0.650053 + 0.0934635i
\(156\) −4807.96 10528.0i −0.197566 0.432608i
\(157\) 39167.5 5631.44i 1.58901 0.228465i 0.709626 0.704578i \(-0.248864\pi\)
0.879384 + 0.476113i \(0.157955\pi\)
\(158\) −4889.84 7608.74i −0.195876 0.304788i
\(159\) 12262.7 + 10625.7i 0.485056 + 0.420304i
\(160\) 5323.40i 0.207945i
\(161\) −30807.0 + 17563.0i −1.18850 + 0.677559i
\(162\) −2061.92 −0.0785674
\(163\) −21092.9 + 24342.6i −0.793893 + 0.916201i −0.998030 0.0627411i \(-0.980016\pi\)
0.204137 + 0.978942i \(0.434561\pi\)
\(164\) 18187.6 11688.5i 0.676220 0.434580i
\(165\) −4926.14 34262.0i −0.180942 1.25848i
\(166\) −15270.7 + 6973.91i −0.554171 + 0.253081i
\(167\) −1571.79 + 10932.1i −0.0563589 + 0.391985i 0.942044 + 0.335489i \(0.108902\pi\)
−0.998403 + 0.0564953i \(0.982007\pi\)
\(168\) −2220.54 7562.45i −0.0786755 0.267944i
\(169\) 41186.8 + 26469.1i 1.44206 + 0.926758i
\(170\) 2882.18 6311.08i 0.0997293 0.218377i
\(171\) −142.008 + 483.636i −0.00485648 + 0.0165397i
\(172\) 10144.5 8790.23i 0.342904 0.297128i
\(173\) 32654.2 + 37685.0i 1.09106 + 1.25915i 0.963614 + 0.267299i \(0.0861312\pi\)
0.127442 + 0.991846i \(0.459323\pi\)
\(174\) −11176.0 3281.58i −0.369138 0.108389i
\(175\) 14624.0 + 6678.54i 0.477517 + 0.218075i
\(176\) 7837.89 12196.0i 0.253031 0.393724i
\(177\) −6053.51 + 1777.47i −0.193224 + 0.0567356i
\(178\) −43453.1 6247.61i −1.37145 0.197185i
\(179\) 3925.13 + 8594.84i 0.122503 + 0.268245i 0.960941 0.276752i \(-0.0892581\pi\)
−0.838438 + 0.544997i \(0.816531\pi\)
\(180\) 6287.45 903.999i 0.194057 0.0279012i
\(181\) −10144.5 15785.2i −0.309653 0.481829i 0.651193 0.758912i \(-0.274269\pi\)
−0.960846 + 0.277083i \(0.910632\pi\)
\(182\) 39896.4 + 34570.4i 1.20446 + 1.04367i
\(183\) 5814.54i 0.173625i
\(184\) 3976.64 11290.0i 0.117457 0.333472i
\(185\) 24829.0 0.725463
\(186\) −5163.77 + 5959.31i −0.149259 + 0.172254i
\(187\) 15895.2 10215.2i 0.454551 0.292122i
\(188\) 2602.71 + 18102.2i 0.0736393 + 0.512172i
\(189\) 8554.91 3906.90i 0.239492 0.109373i
\(190\) 220.990 1537.02i 0.00612161 0.0425767i
\(191\) −15690.7 53437.8i −0.430107 1.46481i −0.834900 0.550402i \(-0.814474\pi\)
0.404792 0.914409i \(-0.367344\pi\)
\(192\) 2238.10 + 1438.34i 0.0607122 + 0.0390174i
\(193\) 22777.0 49874.6i 0.611479 1.33895i −0.310079 0.950711i \(-0.600356\pi\)
0.921558 0.388241i \(-0.126917\pi\)
\(194\) 472.152 1608.00i 0.0125452 0.0427251i
\(195\) −32153.7 + 27861.3i −0.845593 + 0.732710i
\(196\) 10963.6 + 12652.7i 0.285393 + 0.329361i
\(197\) −52012.1 15272.1i −1.34021 0.393520i −0.468463 0.883483i \(-0.655192\pi\)
−0.871743 + 0.489963i \(0.837010\pi\)
\(198\) 15735.7 + 7186.23i 0.401379 + 0.183304i
\(199\) −21889.5 + 34060.7i −0.552750 + 0.860096i −0.999401 0.0346123i \(-0.988980\pi\)
0.446651 + 0.894708i \(0.352617\pi\)
\(200\) −5206.81 + 1528.86i −0.130170 + 0.0382215i
\(201\) −926.917 133.271i −0.0229429 0.00329869i
\(202\) −6024.11 13191.0i −0.147635 0.323276i
\(203\) 52587.2 7560.89i 1.27611 0.183477i
\(204\) 1874.60 + 2916.94i 0.0450453 + 0.0700918i
\(205\) −60062.2 52044.2i −1.42920 1.23841i
\(206\) 37162.2i 0.875724i
\(207\) 14009.9 + 2779.57i 0.326960 + 0.0648689i
\(208\) −17819.1 −0.411870
\(209\) 2769.32 3195.96i 0.0633986 0.0731659i
\(210\) −24373.7 + 15664.0i −0.552692 + 0.355194i
\(211\) 5814.37 + 40439.8i 0.130598 + 0.908331i 0.944776 + 0.327716i \(0.106279\pi\)
−0.814178 + 0.580615i \(0.802812\pi\)
\(212\) 22723.9 10377.6i 0.505604 0.230902i
\(213\) 3132.77 21788.9i 0.0690509 0.480260i
\(214\) 687.340 + 2340.87i 0.0150087 + 0.0511151i
\(215\) −41510.0 26676.8i −0.897998 0.577108i
\(216\) −1318.75 + 2887.66i −0.0282654 + 0.0618926i
\(217\) 10132.9 34509.4i 0.215185 0.732854i
\(218\) 32986.9 28583.3i 0.694111 0.601451i
\(219\) −746.273 861.245i −0.0155600 0.0179572i
\(220\) −51133.6 15014.2i −1.05648 0.310210i
\(221\) −21125.2 9647.56i −0.432530 0.197530i
\(222\) −6708.57 + 10438.7i −0.136121 + 0.211808i
\(223\) −17868.3 + 5246.61i −0.359314 + 0.105504i −0.456407 0.889771i \(-0.650864\pi\)
0.0970930 + 0.995275i \(0.469046\pi\)
\(224\) −12011.2 1726.95i −0.239381 0.0344178i
\(225\) −2689.93 5890.13i −0.0531345 0.116348i
\(226\) 36726.3 5280.44i 0.719052 0.103384i
\(227\) 39255.8 + 61083.3i 0.761821 + 1.18542i 0.977907 + 0.209042i \(0.0670344\pi\)
−0.216086 + 0.976374i \(0.569329\pi\)
\(228\) 586.493 + 508.199i 0.0112822 + 0.00977607i
\(229\) 16857.5i 0.321456i −0.986999 0.160728i \(-0.948616\pi\)
0.986999 0.160728i \(-0.0513842\pi\)
\(230\) −43939.3 2333.47i −0.830611 0.0441110i
\(231\) −78903.5 −1.47867
\(232\) −11743.6 + 13552.9i −0.218186 + 0.251800i
\(233\) 32341.6 20784.7i 0.595730 0.382852i −0.207752 0.978182i \(-0.566615\pi\)
0.803482 + 0.595329i \(0.202978\pi\)
\(234\) −3025.97 21046.1i −0.0552629 0.384362i
\(235\) 61152.6 27927.5i 1.10734 0.505703i
\(236\) −1382.37 + 9614.58i −0.0248199 + 0.172626i
\(237\) −4681.23 15942.8i −0.0833418 0.283836i
\(238\) −13304.7 8550.41i −0.234883 0.150950i
\(239\) −7499.67 + 16422.0i −0.131294 + 0.287495i −0.963849 0.266448i \(-0.914150\pi\)
0.832555 + 0.553943i \(0.186877\pi\)
\(240\) 2755.26 9383.57i 0.0478344 0.162909i
\(241\) 29008.8 25136.2i 0.499454 0.432779i −0.368349 0.929687i \(-0.620077\pi\)
0.867803 + 0.496908i \(0.165532\pi\)
\(242\) −67923.3 78387.7i −1.15981 1.33850i
\(243\) −3634.55 1067.20i −0.0615515 0.0180732i
\(244\) −8143.09 3718.83i −0.136776 0.0624635i
\(245\) 33272.8 51773.4i 0.554315 0.862531i
\(246\) 38109.0 11189.8i 0.629734 0.184907i
\(247\) −5144.89 739.724i −0.0843301 0.0121248i
\(248\) 5043.22 + 11043.1i 0.0819983 + 0.179551i
\(249\) −30527.2 + 4389.16i −0.492367 + 0.0707917i
\(250\) −17321.1 26952.2i −0.277138 0.431235i
\(251\) 36056.2 + 31242.9i 0.572312 + 0.495911i 0.892259 0.451524i \(-0.149120\pi\)
−0.319947 + 0.947436i \(0.603665\pi\)
\(252\) 14479.6i 0.228012i
\(253\) −97230.0 70039.9i −1.51900 1.09422i
\(254\) 74853.7 1.16023
\(255\) 8346.88 9632.81i 0.128364 0.148140i
\(256\) 3445.77 2214.46i 0.0525783 0.0337901i
\(257\) 10385.3 + 72231.7i 0.157237 + 1.09361i 0.903696 + 0.428175i \(0.140843\pi\)
−0.746459 + 0.665432i \(0.768247\pi\)
\(258\) 22431.3 10244.0i 0.336988 0.153897i
\(259\) 8054.69 56021.6i 0.120074 0.835133i
\(260\) 18454.3 + 62849.6i 0.272993 + 0.929728i
\(261\) −18001.5 11568.9i −0.264258 0.169828i
\(262\) 34604.9 75774.2i 0.504122 1.10387i
\(263\) 17796.2 60608.2i 0.257286 0.876234i −0.724985 0.688765i \(-0.758153\pi\)
0.982270 0.187469i \(-0.0600285\pi\)
\(264\) 20128.2 17441.2i 0.288800 0.250247i
\(265\) −60136.7 69401.5i −0.856344 0.988273i
\(266\) −3396.28 997.239i −0.0480000 0.0140941i
\(267\) −73361.1 33502.9i −1.02907 0.469959i
\(268\) −779.473 + 1212.88i −0.0108525 + 0.0168869i
\(269\) 66754.0 19600.7i 0.922513 0.270874i 0.214214 0.976787i \(-0.431281\pi\)
0.708299 + 0.705913i \(0.249463\pi\)
\(270\) 11550.8 + 1660.75i 0.158447 + 0.0227812i
\(271\) 32558.1 + 71292.3i 0.443323 + 0.970743i 0.990976 + 0.134037i \(0.0427942\pi\)
−0.547653 + 0.836706i \(0.684479\pi\)
\(272\) 5284.04 759.730i 0.0714213 0.0102688i
\(273\) 52432.6 + 81586.7i 0.703519 + 1.09470i
\(274\) 60817.5 + 52698.7i 0.810079 + 0.701938i
\(275\) 54325.7i 0.718357i
\(276\) 12853.1 17842.7i 0.168729 0.234231i
\(277\) −142909. −1.86252 −0.931259 0.364358i \(-0.881288\pi\)
−0.931259 + 0.364358i \(0.881288\pi\)
\(278\) 55113.4 63604.3i 0.713129 0.822994i
\(279\) −12186.6 + 7831.84i −0.156557 + 0.100613i
\(280\) 6348.24 + 44153.0i 0.0809725 + 0.563176i
\(281\) 31729.6 14490.4i 0.401839 0.183514i −0.204235 0.978922i \(-0.565471\pi\)
0.606074 + 0.795408i \(0.292744\pi\)
\(282\) −4781.48 + 33255.9i −0.0601262 + 0.418187i
\(283\) −44474.0 151464.i −0.555307 1.89120i −0.440336 0.897833i \(-0.645141\pi\)
−0.114971 0.993369i \(-0.536678\pi\)
\(284\) −28511.1 18323.0i −0.353490 0.227174i
\(285\) 1185.06 2594.93i 0.0145899 0.0319474i
\(286\) −50257.2 + 171160.i −0.614422 + 2.09253i
\(287\) −136912. + 118635.i −1.66218 + 1.44028i
\(288\) 3200.65 + 3693.74i 0.0385880 + 0.0445330i
\(289\) −73462.1 21570.4i −0.879564 0.258263i
\(290\) 59964.4 + 27384.8i 0.713014 + 0.325622i
\(291\) 1664.53 2590.05i 0.0196564 0.0305860i
\(292\) −1683.44 + 494.304i −0.0197439 + 0.00579734i
\(293\) 28338.6 + 4074.47i 0.330098 + 0.0474609i 0.305371 0.952233i \(-0.401219\pi\)
0.0247266 + 0.999694i \(0.492128\pi\)
\(294\) 12776.9 + 27977.5i 0.147819 + 0.323678i
\(295\) 35343.1 5081.57i 0.406126 0.0583921i
\(296\) 10328.5 + 16071.5i 0.117884 + 0.183431i
\(297\) 24017.8 + 20811.6i 0.272283 + 0.235935i
\(298\) 37824.9i 0.425937i
\(299\) −7810.87 + 147079.i −0.0873690 + 1.64516i
\(300\) −9969.36 −0.110771
\(301\) −73657.0 + 85004.8i −0.812983 + 0.938232i
\(302\) −24829.3 + 15956.8i −0.272239 + 0.174957i
\(303\) −3791.38 26369.7i −0.0412964 0.287223i
\(304\) 1086.82 496.336i 0.0117601 0.00537067i
\(305\) −4683.26 + 32572.8i −0.0503441 + 0.350151i
\(306\) 1794.63 + 6111.95i 0.0191660 + 0.0652735i
\(307\) 57311.9 + 36832.1i 0.608090 + 0.390796i 0.808140 0.588990i \(-0.200474\pi\)
−0.200051 + 0.979786i \(0.564111\pi\)
\(308\) −50464.6 + 110502.i −0.531967 + 1.16485i
\(309\) −19234.3 + 65505.9i −0.201446 + 0.686062i
\(310\) 33727.0 29224.6i 0.350958 0.304107i
\(311\) −13081.4 15096.7i −0.135248 0.156085i 0.684085 0.729402i \(-0.260202\pi\)
−0.819333 + 0.573317i \(0.805656\pi\)
\(312\) −31409.8 9222.75i −0.322668 0.0947439i
\(313\) 139826. + 63856.3i 1.42725 + 0.651801i 0.971224 0.238168i \(-0.0765468\pi\)
0.456021 + 0.889969i \(0.349274\pi\)
\(314\) 60509.4 94154.5i 0.613711 0.954953i
\(315\) −51070.9 + 14995.8i −0.514698 + 0.151129i
\(316\) −25321.4 3640.67i −0.253579 0.0364592i
\(317\) −65.8922 144.284i −0.000655716 0.00143582i 0.909304 0.416133i \(-0.136615\pi\)
−0.909960 + 0.414697i \(0.863888\pi\)
\(318\) 45426.6 6531.36i 0.449217 0.0645877i
\(319\) 97059.5 + 151027.i 0.953798 + 1.48414i
\(320\) −11379.2 9860.14i −0.111125 0.0962904i
\(321\) 4482.00i 0.0434972i
\(322\) −19519.2 + 98383.3i −0.188257 + 0.948876i
\(323\) 1557.19 0.0149258
\(324\) −3819.15 + 4407.53i −0.0363812 + 0.0419861i
\(325\) 56173.1 36100.3i 0.531817 0.341778i
\(326\) 12965.3 + 90175.8i 0.121997 + 0.848506i
\(327\) 72940.2 33310.7i 0.682136 0.311521i
\(328\) 8702.50 60527.2i 0.0808903 0.562604i
\(329\) −43174.4 147038.i −0.398873 1.35844i
\(330\) −82362.3 52931.0i −0.756311 0.486052i
\(331\) −81366.0 + 178167.i −0.742655 + 1.62619i 0.0364819 + 0.999334i \(0.488385\pi\)
−0.779137 + 0.626854i \(0.784342\pi\)
\(332\) −13377.5 + 45559.7i −0.121367 + 0.413337i
\(333\) −17228.1 + 14928.2i −0.155363 + 0.134623i
\(334\) 20456.9 + 23608.5i 0.183378 + 0.211629i
\(335\) 5085.20 + 1493.15i 0.0453126 + 0.0133050i
\(336\) −20278.3 9260.79i −0.179619 0.0820294i
\(337\) 33008.1 51361.6i 0.290644 0.452250i −0.664971 0.746869i \(-0.731556\pi\)
0.955615 + 0.294619i \(0.0951926\pi\)
\(338\) 132867. 39013.3i 1.16301 0.341491i
\(339\) 67470.5 + 9700.79i 0.587103 + 0.0844127i
\(340\) −8152.02 17850.4i −0.0705192 0.154416i
\(341\) 120298. 17296.2i 1.03454 0.148745i
\(342\) 770.781 + 1199.36i 0.00658990 + 0.0102541i
\(343\) 15616.9 + 13532.2i 0.132742 + 0.115021i
\(344\) 37966.1i 0.320833i
\(345\) −76244.1 26855.1i −0.640573 0.225626i
\(346\) 141038. 1.17810
\(347\) 138777. 160157.i 1.15254 1.33011i 0.217297 0.976105i \(-0.430276\pi\)
0.935246 0.354000i \(-0.115179\pi\)
\(348\) −27715.2 + 17811.5i −0.228854 + 0.147076i
\(349\) 11285.9 + 78495.3i 0.0926587 + 0.644456i 0.982233 + 0.187665i \(0.0600920\pi\)
−0.889574 + 0.456790i \(0.848999\pi\)
\(350\) 41362.8 18889.8i 0.337656 0.154202i
\(351\) 5559.07 38664.2i 0.0451220 0.313830i
\(352\) −11552.4 39343.9i −0.0932367 0.317535i
\(353\) −131712. 84646.1i −1.05700 0.679293i −0.107867 0.994165i \(-0.534402\pi\)
−0.949134 + 0.314872i \(0.898038\pi\)
\(354\) −7412.98 + 16232.2i −0.0591543 + 0.129530i
\(355\) −35099.3 + 119537.i −0.278510 + 0.948519i
\(356\) −93839.6 + 81312.5i −0.740434 + 0.641590i
\(357\) −19026.7 21958.0i −0.149289 0.172289i
\(358\) 25642.4 + 7529.29i 0.200075 + 0.0587473i
\(359\) −26402.9 12057.8i −0.204862 0.0935575i 0.310342 0.950625i \(-0.399557\pi\)
−0.515204 + 0.857068i \(0.672284\pi\)
\(360\) 9713.41 15114.4i 0.0749492 0.116623i
\(361\) −124708. + 36617.5i −0.956927 + 0.280979i
\(362\) −52532.2 7552.98i −0.400874 0.0576370i
\(363\) −79156.9 173330.i −0.600725 1.31540i
\(364\) 147794. 21249.6i 1.11546 0.160379i
\(365\) 3486.91 + 5425.73i 0.0261731 + 0.0407261i
\(366\) −12429.1 10769.8i −0.0927847 0.0803984i
\(367\) 23564.0i 0.174951i 0.996167 + 0.0874757i \(0.0278800\pi\)
−0.996167 + 0.0874757i \(0.972120\pi\)
\(368\) −16767.7 29412.1i −0.123817 0.217185i
\(369\) 72966.4 0.535883
\(370\) 45988.9 53074.0i 0.335930 0.387684i
\(371\) −176099. + 113172.i −1.27941 + 0.822227i
\(372\) 3174.04 + 22076.0i 0.0229365 + 0.159527i
\(373\) −102653. + 46880.0i −0.737826 + 0.336954i −0.748630 0.662988i \(-0.769288\pi\)
0.0108045 + 0.999942i \(0.496561\pi\)
\(374\) 7605.62 52898.2i 0.0543740 0.378179i
\(375\) −16582.1 56473.6i −0.117917 0.401590i
\(376\) 43515.8 + 27965.9i 0.307802 + 0.197812i
\(377\) 91665.8 200720.i 0.644948 1.41224i
\(378\) 7494.31 25523.3i 0.0524503 0.178629i
\(379\) 73586.0 63762.6i 0.512291 0.443903i −0.359955 0.932970i \(-0.617208\pi\)
0.872246 + 0.489067i \(0.162663\pi\)
\(380\) −2876.18 3319.29i −0.0199182 0.0229868i
\(381\) 131945. + 38742.4i 0.908954 + 0.266893i
\(382\) −143290. 65438.6i −0.981953 0.448443i
\(383\) −145360. + 226184.i −0.990938 + 1.54193i −0.158838 + 0.987305i \(0.550775\pi\)
−0.832100 + 0.554626i \(0.812861\pi\)
\(384\) 7220.02 2119.99i 0.0489639 0.0143771i
\(385\) 442013. + 63551.9i 2.98204 + 0.428753i
\(386\) −64423.0 141067.i −0.432381 0.946782i
\(387\) 44841.7 6447.26i 0.299406 0.0430480i
\(388\) −2562.71 3987.65i −0.0170230 0.0264883i
\(389\) −165689. 143570.i −1.09495 0.948777i −0.0960338 0.995378i \(-0.530616\pi\)
−0.998914 + 0.0466007i \(0.985161\pi\)
\(390\) 120337.i 0.791167i
\(391\) −3954.59 43947.4i −0.0258671 0.287462i
\(392\) 47353.4 0.308162
\(393\) 100217. 115657.i 0.648868 0.748834i
\(394\) −128984. + 82892.7i −0.830887 + 0.533979i
\(395\) 13383.1 + 93081.2i 0.0857750 + 0.596579i
\(396\) 44507.1 20325.7i 0.283818 0.129615i
\(397\) −22001.6 + 153025.i −0.139596 + 0.970912i 0.792802 + 0.609479i \(0.208621\pi\)
−0.932398 + 0.361433i \(0.882288\pi\)
\(398\) 32263.3 + 109879.i 0.203677 + 0.693660i
\(399\) −5470.49 3515.67i −0.0343621 0.0220832i
\(400\) −6376.13 + 13961.8i −0.0398508 + 0.0872612i
\(401\) −59509.6 + 202671.i −0.370082 + 1.26038i 0.538481 + 0.842638i \(0.318998\pi\)
−0.908563 + 0.417747i \(0.862820\pi\)
\(402\) −2001.74 + 1734.51i −0.0123867 + 0.0107331i
\(403\) −97824.2 112895.i −0.602332 0.695129i
\(404\) −39354.8 11555.6i −0.241121 0.0707995i
\(405\) 19501.0 + 8905.82i 0.118891 + 0.0542955i
\(406\) 81241.3 126414.i 0.492861 0.766907i
\(407\) 183504. 53881.8i 1.10779 0.325277i
\(408\) 9707.40 + 1395.71i 0.0583153 + 0.00838447i
\(409\) −100879. 220895.i −0.603054 1.32050i −0.927225 0.374506i \(-0.877812\pi\)
0.324171 0.945999i \(-0.394915\pi\)
\(410\) −222497. + 31990.3i −1.32360 + 0.190305i
\(411\) 79927.5 + 124370.i 0.473165 + 0.736259i
\(412\) 79437.3 + 68832.8i 0.467983 + 0.405510i
\(413\) 81393.1i 0.477186i
\(414\) 31891.1 24799.0i 0.186067 0.144688i
\(415\) 174547. 1.01348
\(416\) −33005.0 + 38089.8i −0.190719 + 0.220101i
\(417\) 130069. 83590.0i 0.747998 0.480709i
\(418\) −1702.23 11839.3i −0.00974240 0.0677599i
\(419\) 697.832 318.689i 0.00397487 0.00181526i −0.413427 0.910537i \(-0.635668\pi\)
0.417401 + 0.908722i \(0.362941\pi\)
\(420\) −11662.5 + 81114.2i −0.0661138 + 0.459831i
\(421\) −53198.8 181178.i −0.300150 1.02222i −0.962107 0.272674i \(-0.912092\pi\)
0.661957 0.749542i \(-0.269726\pi\)
\(422\) 97213.0 + 62475.0i 0.545883 + 0.350818i
\(423\) −25640.8 + 56145.4i −0.143301 + 0.313786i
\(424\) 19906.7 67795.9i 0.110730 0.377113i
\(425\) −15118.3 + 13100.1i −0.0836998 + 0.0725263i
\(426\) −40773.0 47054.5i −0.224674 0.259288i
\(427\) 71974.6 + 21133.7i 0.394752 + 0.115910i
\(428\) 6276.90 + 2866.57i 0.0342656 + 0.0156486i
\(429\) −177177. + 275693.i −0.962704 + 1.49800i
\(430\) −133910. + 39319.5i −0.724228 + 0.212653i
\(431\) −148616. 21367.8i −0.800039 0.115028i −0.269844 0.962904i \(-0.586972\pi\)
−0.530195 + 0.847876i \(0.677881\pi\)
\(432\) 3729.99 + 8167.54i 0.0199867 + 0.0437647i
\(433\) −201592. + 28984.5i −1.07522 + 0.154593i −0.657103 0.753801i \(-0.728218\pi\)
−0.418115 + 0.908394i \(0.637309\pi\)
\(434\) −54998.3 85579.0i −0.291991 0.454347i
\(435\) 91525.7 + 79307.4i 0.483687 + 0.419117i
\(436\) 123455.i 0.649436i
\(437\) −3620.35 9188.20i −0.0189578 0.0481136i
\(438\) −3223.25 −0.0168014
\(439\) −92190.6 + 106394.i −0.478363 + 0.552061i −0.942719 0.333588i \(-0.891740\pi\)
0.464356 + 0.885649i \(0.346286\pi\)
\(440\) −126805. + 81492.6i −0.654985 + 0.420933i
\(441\) 8041.36 + 55928.9i 0.0413478 + 0.287580i
\(442\) −59751.1 + 27287.4i −0.305845 + 0.139675i
\(443\) 48362.6 336369.i 0.246435 1.71399i −0.372065 0.928207i \(-0.621350\pi\)
0.618500 0.785785i \(-0.287741\pi\)
\(444\) 9887.88 + 33675.0i 0.0501577 + 0.170821i
\(445\) 383981. + 246770.i 1.93905 + 1.24615i
\(446\) −21881.1 + 47912.9i −0.110002 + 0.240870i
\(447\) 19577.3 66674.1i 0.0979799 0.333689i
\(448\) −25938.9 + 22476.2i −0.129240 + 0.111987i
\(449\) 44749.7 + 51643.9i 0.221971 + 0.256169i 0.855802 0.517303i \(-0.173064\pi\)
−0.633831 + 0.773472i \(0.718518\pi\)
\(450\) −17573.0 5159.90i −0.0867802 0.0254810i
\(451\) −556846. 254303.i −2.73768 1.25025i
\(452\) 56738.0 88286.0i 0.277714 0.432131i
\(453\) −52025.5 + 15276.1i −0.253524 + 0.0744415i
\(454\) 203281. + 29227.4i 0.986247 + 0.141801i
\(455\) −228012. 499276.i −1.10137 2.41167i
\(456\) 2172.64 312.378i 0.0104486 0.00150228i
\(457\) −80551.6 125341.i −0.385693 0.600150i 0.593068 0.805152i \(-0.297916\pi\)
−0.978762 + 0.205002i \(0.934280\pi\)
\(458\) −36034.2 31223.8i −0.171785 0.148852i
\(459\) 11702.4i 0.0555455i
\(460\) −86373.5 + 89601.8i −0.408193 + 0.423449i
\(461\) 179746. 0.845779 0.422890 0.906181i \(-0.361016\pi\)
0.422890 + 0.906181i \(0.361016\pi\)
\(462\) −146147. + 168663.i −0.684709 + 0.790197i
\(463\) −45618.0 + 29316.9i −0.212801 + 0.136759i −0.642700 0.766118i \(-0.722186\pi\)
0.429898 + 0.902877i \(0.358549\pi\)
\(464\) 7218.53 + 50206.0i 0.0335284 + 0.233195i
\(465\) 74576.6 34058.0i 0.344903 0.157512i
\(466\) 15475.0 107631.i 0.0712620 0.495638i
\(467\) 46936.0 + 159849.i 0.215215 + 0.732955i 0.994355 + 0.106105i \(0.0338379\pi\)
−0.779140 + 0.626850i \(0.784344\pi\)
\(468\) −50592.6 32513.9i −0.230991 0.148449i
\(469\) 5018.67 10989.3i 0.0228162 0.0499604i
\(470\) 53571.2 182447.i 0.242513 0.825925i
\(471\) 155392. 134648.i 0.700466 0.606957i
\(472\) 17991.5 + 20763.3i 0.0807576 + 0.0931992i
\(473\) −364681. 107080.i −1.63001 0.478615i
\(474\) −42749.7 19523.1i −0.190273 0.0868947i
\(475\) −2420.57 + 3766.48i −0.0107283 + 0.0166935i
\(476\) −42920.5 + 12602.6i −0.189431 + 0.0556219i
\(477\) 83454.0 + 11998.9i 0.366784 + 0.0527356i
\(478\) 21212.3 + 46448.4i 0.0928392 + 0.203289i
\(479\) 102565. 14746.6i 0.447022 0.0642720i 0.0848719 0.996392i \(-0.472952\pi\)
0.362150 + 0.932120i \(0.382043\pi\)
\(480\) −14954.8 23270.1i −0.0649079 0.100999i
\(481\) −177656. 153939.i −0.767872 0.665365i
\(482\) 108567.i 0.467307i
\(483\) −85327.4 + 163318.i −0.365758 + 0.700066i
\(484\) −293370. −1.25235
\(485\) −11410.7 + 13168.7i −0.0485098 + 0.0559833i
\(486\) −9013.25 + 5792.46i −0.0381600 + 0.0245240i
\(487\) 40006.8 + 278253.i 0.168685 + 1.17323i 0.881607 + 0.471985i \(0.156462\pi\)
−0.712922 + 0.701244i \(0.752629\pi\)
\(488\) −23032.1 + 10518.4i −0.0967152 + 0.0441684i
\(489\) −23818.8 + 165664.i −0.0996099 + 0.692802i
\(490\) −49041.3 167019.i −0.204254 0.695624i
\(491\) 238851. + 153500.i 0.990752 + 0.636717i 0.932343 0.361575i \(-0.117761\pi\)
0.0584088 + 0.998293i \(0.481397\pi\)
\(492\) 46667.3 102187.i 0.192789 0.422150i
\(493\) −18624.5 + 63429.3i −0.0766286 + 0.260973i
\(494\) −11110.7 + 9627.50i −0.0455291 + 0.0394511i
\(495\) −117784. 135930.i −0.480703 0.554761i
\(496\) 32946.8 + 9674.04i 0.133921 + 0.0393228i
\(497\) 258325. + 117973.i 1.04581 + 0.477606i
\(498\) −47161.2 + 73384.2i −0.190163 + 0.295899i
\(499\) 203610. 59785.4i 0.817710 0.240101i 0.153980 0.988074i \(-0.450791\pi\)
0.663729 + 0.747973i \(0.268973\pi\)
\(500\) −89695.1 12896.2i −0.358780 0.0515848i
\(501\) 23840.2 + 52202.7i 0.0949804 + 0.207978i
\(502\) 133569. 19204.3i 0.530026 0.0762062i
\(503\) −11415.3 17762.6i −0.0451183 0.0702054i 0.817962 0.575273i \(-0.195104\pi\)
−0.863080 + 0.505067i \(0.831468\pi\)
\(504\) −30951.4 26819.6i −0.121848 0.105582i
\(505\) 150775.i 0.591217i
\(506\) −329808. + 78107.4i −1.28813 + 0.305064i
\(507\) 254397. 0.989685
\(508\) 138646. 160006.i 0.537254 0.620024i
\(509\) −68988.1 + 44336.0i −0.266280 + 0.171128i −0.666967 0.745087i \(-0.732408\pi\)
0.400687 + 0.916215i \(0.368771\pi\)
\(510\) −5130.63 35684.3i −0.0197256 0.137194i
\(511\) 13373.2 6107.36i 0.0512148 0.0233890i
\(512\) 1648.75 11467.3i 0.00628949 0.0437443i
\(513\) 737.897 + 2513.05i 0.00280389 + 0.00954918i
\(514\) 173637. + 111590.i 0.657229 + 0.422375i
\(515\) 160510. 351469.i 0.605186 1.32517i
\(516\) 19650.3 66922.9i 0.0738024 0.251348i
\(517\) 391357. 339113.i 1.46417 1.26871i
\(518\) −104832. 120982.i −0.390691 0.450881i
\(519\) 248607. + 72997.7i 0.922952 + 0.271003i
\(520\) 168528. + 76964.0i 0.623253 + 0.284630i
\(521\) −88408.6 + 137566.i −0.325701 + 0.506800i −0.965032 0.262131i \(-0.915575\pi\)
0.639332 + 0.768931i \(0.279211\pi\)
\(522\) −58072.3 + 17051.6i −0.213122 + 0.0625783i
\(523\) 418143. + 60119.9i 1.52870 + 0.219793i 0.854771 0.519005i \(-0.173697\pi\)
0.673926 + 0.738799i \(0.264607\pi\)
\(524\) −97877.5 214322.i −0.356468 0.780556i
\(525\) 82687.2 11888.6i 0.299999 0.0431333i
\(526\) −96592.5 150301.i −0.349118 0.543238i
\(527\) 33821.9 + 29306.8i 0.121780 + 0.105523i
\(528\) 75330.7i 0.270212i
\(529\) −250117. + 125508.i −0.893783 + 0.448499i
\(530\) −259738. −0.924665
\(531\) −21468.2 + 24775.7i −0.0761390 + 0.0878691i
\(532\) −8422.37 + 5412.73i −0.0297585 + 0.0191246i
\(533\) 107082. + 744770.i 0.376930 + 2.62161i
\(534\) −207497. + 94760.5i −0.727660 + 0.332311i
\(535\) 3609.98 25107.9i 0.0126124 0.0877210i
\(536\) 1148.88 + 3912.72i 0.00399894 + 0.0136191i
\(537\) 41302.9 + 26543.8i 0.143229 + 0.0920480i
\(538\) 81745.2 178997.i 0.282422 0.618417i
\(539\) 133556. 454850.i 0.459712 1.56563i
\(540\) 24944.7 21614.7i 0.0855441 0.0741244i
\(541\) −287731. 332059.i −0.983088 1.13454i −0.990904 0.134574i \(-0.957033\pi\)
0.00781576 0.999969i \(-0.497512\pi\)
\(542\) 212698. + 62453.8i 0.724045 + 0.212599i
\(543\) −88689.3 40503.0i −0.300796 0.137369i
\(544\) 8163.24 12702.3i 0.0275845 0.0429223i
\(545\) −435437. + 127856.i −1.46599 + 0.430455i
\(546\) 271515. + 39038.0i 0.910770 + 0.130949i
\(547\) 11642.8 + 25494.1i 0.0389118 + 0.0852050i 0.928090 0.372357i \(-0.121450\pi\)
−0.889178 + 0.457562i \(0.848723\pi\)
\(548\) 225296. 32392.6i 0.750225 0.107866i
\(549\) −16334.5 25417.0i −0.0541953 0.0843295i
\(550\) 116126. + 100624.i 0.383887 + 0.332640i
\(551\) 14795.6i 0.0487336i
\(552\) −14333.5 60523.3i −0.0470409 0.198630i
\(553\) 214361. 0.700962
\(554\) −264700. + 305480.i −0.862451 + 0.995321i
\(555\) 108534. 69750.8i 0.352356 0.226445i
\(556\) −33876.9 235619.i −0.109586 0.762186i
\(557\) −100622. + 45952.5i −0.324327 + 0.148115i −0.570924 0.821003i \(-0.693415\pi\)
0.246597 + 0.969118i \(0.420688\pi\)
\(558\) −5831.09 + 40556.1i −0.0187276 + 0.130253i
\(559\) 131615. + 448239.i 0.421193 + 1.43445i
\(560\) 106139. + 68211.4i 0.338454 + 0.217511i
\(561\) 40785.3 89307.3i 0.129592 0.283767i
\(562\) 27795.9 94664.1i 0.0880051 0.299718i
\(563\) −89380.1 + 77448.3i −0.281984 + 0.244340i −0.784356 0.620311i \(-0.787006\pi\)
0.502372 + 0.864652i \(0.332461\pi\)
\(564\) 62230.9 + 71818.2i 0.195635 + 0.225775i
\(565\) −370153. 108687.i −1.15954 0.340470i
\(566\) −406144. 185480.i −1.26779 0.578980i
\(567\) 26420.5 41111.0i 0.0821815 0.127877i
\(568\) −91975.8 + 27006.5i −0.285087 + 0.0837090i
\(569\) 52674.0 + 7573.37i 0.162694 + 0.0233919i 0.223180 0.974777i \(-0.428356\pi\)
−0.0604864 + 0.998169i \(0.519265\pi\)
\(570\) −3351.87 7339.56i −0.0103166 0.0225902i
\(571\) 154034. 22146.7i 0.472437 0.0679261i 0.0980155 0.995185i \(-0.468751\pi\)
0.374421 + 0.927259i \(0.377841\pi\)
\(572\) 272782. + 424457.i 0.833726 + 1.29730i
\(573\) −218709. 189512.i −0.666127 0.577202i
\(574\) 512399.i 1.55519i
\(575\) 112446. + 58748.6i 0.340100 + 0.177690i
\(576\) 13824.0 0.0416667
\(577\) −246940. + 284984.i −0.741719 + 0.855990i −0.993738 0.111733i \(-0.964360\pi\)
0.252019 + 0.967722i \(0.418905\pi\)
\(578\) −182177. + 117078.i −0.545303 + 0.350445i
\(579\) −40545.8 282002.i −0.120945 0.841193i
\(580\) 169605. 77456.0i 0.504177 0.230250i
\(581\) 56624.3 393831.i 0.167745 1.16670i
\(582\) −2453.37 8355.43i −0.00724299 0.0246674i
\(583\) −595064. 382425.i −1.75076 1.12515i
\(584\) −2061.50 + 4514.07i −0.00604448 + 0.0132356i
\(585\) −62283.3 + 212117.i −0.181995 + 0.619818i
\(586\) 61199.0 53029.2i 0.178217 0.154426i
\(587\) 250402. + 288980.i 0.726711 + 0.838670i 0.992097 0.125473i \(-0.0400447\pi\)
−0.265386 + 0.964142i \(0.585499\pi\)
\(588\) 83469.8 + 24508.9i 0.241421 + 0.0708876i
\(589\) 9111.08 + 4160.89i 0.0262627 + 0.0119938i
\(590\) 54601.1 84961.0i 0.156855 0.244071i
\(591\) −270263. + 79356.3i −0.773769 + 0.227199i
\(592\) 53484.9 + 7689.97i 0.152612 + 0.0219423i
\(593\) 45396.4 + 99404.2i 0.129096 + 0.282680i 0.963132 0.269030i \(-0.0867029\pi\)
−0.834036 + 0.551710i \(0.813976\pi\)
\(594\) 88972.9 12792.4i 0.252165 0.0362559i
\(595\) 88900.9 + 138332.i 0.251115 + 0.390742i
\(596\) −80853.9 70060.3i −0.227619 0.197233i
\(597\) 210382.i 0.590282i
\(598\) 299926. + 289120.i 0.838710 + 0.808492i
\(599\) 333574. 0.929690 0.464845 0.885392i \(-0.346110\pi\)
0.464845 + 0.885392i \(0.346110\pi\)
\(600\) −18465.5 + 21310.3i −0.0512931 + 0.0591953i
\(601\) 174205. 111955.i 0.482293 0.309951i −0.276806 0.960926i \(-0.589276\pi\)
0.759099 + 0.650975i \(0.225640\pi\)
\(602\) 45275.2 + 314896.i 0.124930 + 0.868909i
\(603\) −4426.21 + 2021.38i −0.0121730 + 0.00555921i
\(604\) −11880.4 + 82630.3i −0.0325656 + 0.226499i
\(605\) 303827. + 1.03474e6i 0.830072 + 2.82696i
\(606\) −63389.8 40738.2i −0.172613 0.110932i
\(607\) 90362.1 197865.i 0.245250 0.537022i −0.746474 0.665415i \(-0.768255\pi\)
0.991723 + 0.128393i \(0.0409818\pi\)
\(608\) 952.084 3242.50i 0.00257554 0.00877148i
\(609\) 208633. 180781.i 0.562533 0.487438i
\(610\) 60952.5 + 70343.0i 0.163807 + 0.189043i
\(611\) −610707. 179320.i −1.63588 0.480337i
\(612\) 16388.8 + 7484.54i 0.0437568 + 0.0199831i
\(613\) 174550. 271606.i 0.464515 0.722800i −0.527412 0.849610i \(-0.676838\pi\)
0.991927 + 0.126810i \(0.0404739\pi\)
\(614\) 184886. 54287.5i 0.490419 0.144000i
\(615\) −408754. 58770.0i −1.08072 0.155384i
\(616\) 142735. + 312547.i 0.376158 + 0.823671i
\(617\) 518923. 74609.8i 1.36311 0.195986i 0.578354 0.815786i \(-0.303695\pi\)
0.784760 + 0.619800i \(0.212786\pi\)
\(618\) 104398. + 162446.i 0.273348 + 0.425337i
\(619\) −31403.6 27211.4i −0.0819593 0.0710182i 0.612918 0.790147i \(-0.289996\pi\)
−0.694877 + 0.719129i \(0.744541\pi\)
\(620\) 126225.i 0.328369i
\(621\) 69049.8 27207.1i 0.179052 0.0705504i
\(622\) −56500.1 −0.146039
\(623\) 681352. 786322.i 1.75548 2.02593i
\(624\) −77892.4 + 50058.4i −0.200044 + 0.128561i
\(625\) 68738.0 + 478083.i 0.175969 + 1.22389i
\(626\) 395487. 180613.i 1.00921 0.460893i
\(627\) 3127.20 21750.1i 0.00795464 0.0553257i
\(628\) −89185.9 303739.i −0.226140 0.770161i
\(629\) 59244.8 + 38074.3i 0.149744 + 0.0962345i
\(630\) −62540.2 + 136944.i −0.157572 + 0.345034i
\(631\) −139079. + 473659.i −0.349303 + 1.18962i 0.578229 + 0.815875i \(0.303744\pi\)
−0.927532 + 0.373743i \(0.878074\pi\)
\(632\) −54683.2 + 47383.2i −0.136905 + 0.118629i
\(633\) 139022. + 160440.i 0.346957 + 0.400410i
\(634\) −430.466 126.396i −0.00107093 0.000314453i
\(635\) −707943. 323307.i −1.75570 0.801802i
\(636\) 70179.0 109201.i 0.173497 0.269967i
\(637\) −559067. + 164157.i −1.37780 + 0.404558i
\(638\) 502610. + 72264.4i 1.23478 + 0.177535i
\(639\) −47516.3 104046.i −0.116370 0.254815i
\(640\) −42153.7 + 6060.79i −0.102914 + 0.0147969i
\(641\) 99962.5 + 155545.i 0.243288 + 0.378564i 0.941327 0.337496i \(-0.109580\pi\)
−0.698039 + 0.716060i \(0.745944\pi\)
\(642\) 9580.64 + 8301.67i 0.0232447 + 0.0201417i
\(643\) 619930.i 1.49941i 0.661772 + 0.749705i \(0.269805\pi\)
−0.661772 + 0.749705i \(0.730195\pi\)
\(644\) 174148. + 223952.i 0.419902 + 0.539987i
\(645\) −256394. −0.616294
\(646\) 2884.27 3328.63i 0.00691148 0.00797627i
\(647\) −399680. + 256859.i −0.954781 + 0.613600i −0.922549 0.385880i \(-0.873898\pi\)
−0.0322317 + 0.999480i \(0.510261\pi\)
\(648\) 2347.54 + 16327.5i 0.00559065 + 0.0388839i
\(649\) 250184. 114255.i 0.593978 0.271261i
\(650\) 26878.0 186941.i 0.0636166 0.442463i
\(651\) −52651.9 179316.i −0.124237 0.423113i
\(652\) 216773. + 139312.i 0.509929 + 0.327712i
\(653\) 80512.4 176298.i 0.188815 0.413447i −0.791423 0.611269i \(-0.790659\pi\)
0.980238 + 0.197822i \(0.0633867\pi\)
\(654\) 63897.4 217614.i 0.149392 0.508783i
\(655\) −654565. + 567184.i −1.52570 + 1.32203i
\(656\) −113263. 130712.i −0.263197 0.303745i
\(657\) −5681.63 1668.28i −0.0131626 0.00386489i
\(658\) −394276. 180060.i −0.910643 0.415877i
\(659\) 171361. 266643.i 0.394586 0.613988i −0.585945 0.810351i \(-0.699277\pi\)
0.980531 + 0.196362i \(0.0629129\pi\)
\(660\) −265698. + 78016.0i −0.609959 + 0.179100i
\(661\) −407378. 58572.1i −0.932384 0.134057i −0.340650 0.940190i \(-0.610647\pi\)
−0.591734 + 0.806133i \(0.701556\pi\)
\(662\) 230138. + 503932.i 0.525136 + 1.14989i
\(663\) −119447. + 17173.8i −0.271736 + 0.0390697i
\(664\) 72609.4 + 112982.i 0.164686 + 0.256256i
\(665\) 27813.7 + 24100.7i 0.0628950 + 0.0544988i
\(666\) 64476.8i 0.145363i
\(667\) 417564. 37574.3i 0.938581 0.0844577i
\(668\) 88355.8 0.198008
\(669\) −63368.4 + 73131.0i −0.141586 + 0.163399i
\(670\) 12610.7 8104.39i 0.0280924 0.0180539i
\(671\) 36074.0 + 250900.i 0.0801215 + 0.557257i
\(672\) −57355.7 + 26193.5i −0.127010 + 0.0580036i
\(673\) −57223.3 + 397997.i −0.126341 + 0.878718i 0.823797 + 0.566885i \(0.191852\pi\)
−0.950137 + 0.311832i \(0.899057\pi\)
\(674\) −48651.2 165691.i −0.107096 0.364736i
\(675\) −28305.3 18190.7i −0.0621241 0.0399248i
\(676\) 162706. 356276.i 0.356049 0.779638i
\(677\) 92850.9 316221.i 0.202586 0.689944i −0.794040 0.607865i \(-0.792026\pi\)
0.996626 0.0820784i \(-0.0261558\pi\)
\(678\) 145707. 126256.i 0.316972 0.274658i
\(679\) 26010.8 + 30018.0i 0.0564174 + 0.0651092i
\(680\) −53256.2 15637.4i −0.115173 0.0338180i
\(681\) 343197. + 156733.i 0.740029 + 0.337960i
\(682\) 185847. 289183.i 0.399564 0.621734i
\(683\) −404027. + 118633.i −0.866101 + 0.254310i −0.684456 0.729054i \(-0.739960\pi\)
−0.181645 + 0.983364i \(0.558142\pi\)
\(684\) 3991.39 + 573.875i 0.00853123 + 0.00122661i
\(685\) −347578. 761089.i −0.740749 1.62201i
\(686\) 57852.2 8317.89i 0.122934 0.0176752i
\(687\) −47356.9 73688.7i −0.100339 0.156130i
\(688\) −81155.7 70321.8i −0.171452 0.148564i
\(689\) 869427.i 1.83145i
\(690\) −198626. + 113236.i −0.417195 + 0.237842i
\(691\) −561753. −1.17649 −0.588246 0.808682i \(-0.700181\pi\)
−0.588246 + 0.808682i \(0.700181\pi\)
\(692\) 261234. 301480.i 0.545528 0.629573i
\(693\) −344909. + 221660.i −0.718189 + 0.461552i
\(694\) −85302.6 593293.i −0.177110 1.23183i
\(695\) −795964. + 363505.i −1.64787 + 0.752559i
\(696\) −13261.3 + 92234.3i −0.0273758 + 0.190403i
\(697\) −63507.5 216287.i −0.130725 0.445209i
\(698\) 188694. + 121267.i 0.387301 + 0.248903i
\(699\) 82984.8 181711.i 0.169842 0.371901i
\(700\) 36234.8 123405.i 0.0739487 0.251846i
\(701\) 611379. 529763.i 1.24416 1.07807i 0.250211 0.968191i \(-0.419500\pi\)
0.993945 0.109876i \(-0.0350453\pi\)
\(702\) −72351.2 83497.8i −0.146815 0.169434i
\(703\) 15123.4 + 4440.63i 0.0306012 + 0.00898533i
\(704\) −105498. 48179.5i −0.212863 0.0972114i
\(705\) 188860. 293872.i 0.379981 0.591262i
\(706\) −424898. + 124761.i −0.852463 + 0.250306i
\(707\) 340194. + 48912.5i 0.680594 + 0.0978546i
\(708\) 20967.1 + 45911.5i 0.0418284 + 0.0915914i
\(709\) 693194. 99666.3i 1.37899 0.198269i 0.587390 0.809304i \(-0.300155\pi\)
0.791604 + 0.611034i \(0.209246\pi\)
\(710\) 190509. + 296437.i 0.377918 + 0.588052i
\(711\) −65250.3 56539.7i −0.129075 0.111844i
\(712\) 351199.i 0.692777i
\(713\) 94291.4 267702.i 0.185478 0.526590i
\(714\) −82178.8 −0.161199
\(715\) 1.21459e6 1.40171e6i 2.37584 2.74187i
\(716\) 63590.0 40866.8i 0.124040 0.0797159i
\(717\) 13350.3 + 92853.6i 0.0259689 + 0.180618i
\(718\) −74678.6 + 34104.6i −0.144860 + 0.0661552i
\(719\) 31675.6 220309.i 0.0612727 0.426161i −0.935978 0.352059i \(-0.885482\pi\)
0.997251 0.0741023i \(-0.0236091\pi\)
\(720\) −14316.8 48758.4i −0.0276172 0.0940556i
\(721\) −740948. 476178.i −1.42534 0.916007i
\(722\) −152714. + 334397.i −0.292957 + 0.641487i
\(723\) 56191.5 191371.i 0.107496 0.366099i
\(724\) −113447. + 98302.0i −0.216428 + 0.187536i
\(725\) −124470. 143646.i −0.236803 0.273285i
\(726\) −517123. 151841.i −0.981116 0.288082i
\(727\) −376408. 171900.i −0.712180 0.325242i 0.0261720 0.999657i \(-0.491668\pi\)
−0.738352 + 0.674416i \(0.764396\pi\)
\(728\) 228325. 355281.i 0.430816 0.670362i
\(729\) −18885.7 + 5545.34i −0.0355368 + 0.0104345i
\(730\) 18056.5 + 2596.13i 0.0338834 + 0.00487170i
\(731\) −58139.6 127308.i −0.108802 0.238244i
\(732\) −46042.9 + 6619.97i −0.0859291 + 0.0123547i
\(733\) 23323.8 + 36292.6i 0.0434102 + 0.0675476i 0.862280 0.506431i \(-0.169036\pi\)
−0.818870 + 0.573979i \(0.805399\pi\)
\(734\) 50370.0 + 43645.9i 0.0934932 + 0.0810124i
\(735\) 319788.i 0.591953i
\(736\) −93928.4 18635.4i −0.173397 0.0344019i
\(737\) 40823.7 0.0751584
\(738\) 135150. 155972.i 0.248144 0.286374i
\(739\) 18285.3 11751.3i 0.0334822 0.0215177i −0.523793 0.851846i \(-0.675483\pi\)
0.557275 + 0.830328i \(0.311847\pi\)
\(740\) −28268.2 196610.i −0.0516221 0.359039i
\(741\) −24567.9 + 11219.8i −0.0447436 + 0.0204337i
\(742\) −84260.9 + 586047.i −0.153045 + 1.06445i
\(743\) −231648. 788919.i −0.419614 1.42908i −0.850169 0.526510i \(-0.823500\pi\)
0.430554 0.902565i \(-0.358318\pi\)
\(744\) 53068.2 + 34104.9i 0.0958714 + 0.0616128i
\(745\) −163373. + 357736.i −0.294352 + 0.644541i
\(746\) −89926.5 + 306261.i −0.161588 + 0.550319i
\(747\) −121113. + 104945.i −0.217045 + 0.188070i
\(748\) −98987.0 114237.i −0.176919 0.204176i
\(749\) −55479.9 16290.4i −0.0988945 0.0290380i
\(750\) −151431. 69156.2i −0.269210 0.122944i
\(751\) −61691.7 + 95994.1i −0.109382 + 0.170202i −0.891629 0.452766i \(-0.850437\pi\)
0.782247 + 0.622968i \(0.214074\pi\)
\(752\) 140381. 41219.4i 0.248240 0.0728897i
\(753\) 245381. + 35280.5i 0.432764 + 0.0622221i
\(754\) −259270. 567722.i −0.456047 0.998604i
\(755\) 303748. 43672.4i 0.532868 0.0766149i
\(756\) −40677.0 63294.6i −0.0711713 0.110745i
\(757\) −404226. 350264.i −0.705395 0.611228i 0.226476 0.974017i \(-0.427279\pi\)
−0.931872 + 0.362788i \(0.881825\pi\)
\(758\) 275399.i 0.479318i
\(759\) −621779. 33020.6i −1.07933 0.0573194i
\(760\) −12422.6 −0.0215073
\(761\) −151397. + 174721.i −0.261425 + 0.301700i −0.871254 0.490833i \(-0.836693\pi\)
0.609829 + 0.792533i \(0.291238\pi\)
\(762\) 327206. 210283.i 0.563523 0.362154i
\(763\) 147222. + 1.02395e6i 0.252886 + 1.75886i
\(764\) −405287. + 185088.i −0.694345 + 0.317097i
\(765\) 9425.56 65556.2i 0.0161059 0.112019i
\(766\) 214248. + 729663.i 0.365140 + 1.24355i
\(767\) −284392. 182767.i −0.483422 0.310676i
\(768\) 8841.46 19360.1i 0.0149900 0.0328235i
\(769\) 49319.3 167966.i 0.0833997 0.284033i −0.907225