Properties

Label 144.3.w.a.5.7
Level $144$
Weight $3$
Character 144.5
Analytic conductor $3.924$
Analytic rank $0$
Dimension $184$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 144 = 2^{4} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 144.w (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.92371580679\)
Analytic rank: \(0\)
Dimension: \(184\)
Relative dimension: \(46\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 5.7
Character \(\chi\) \(=\) 144.5
Dual form 144.3.w.a.29.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.79350 - 0.885072i) q^{2} +(0.352522 - 2.97922i) q^{3} +(2.43329 + 3.17476i) q^{4} +(0.899691 + 3.35769i) q^{5} +(-3.26907 + 5.03122i) q^{6} +(-9.56176 + 5.52049i) q^{7} +(-1.55423 - 7.84757i) q^{8} +(-8.75146 - 2.10048i) q^{9} +O(q^{10})\) \(q+(-1.79350 - 0.885072i) q^{2} +(0.352522 - 2.97922i) q^{3} +(2.43329 + 3.17476i) q^{4} +(0.899691 + 3.35769i) q^{5} +(-3.26907 + 5.03122i) q^{6} +(-9.56176 + 5.52049i) q^{7} +(-1.55423 - 7.84757i) q^{8} +(-8.75146 - 2.10048i) q^{9} +(1.35820 - 6.81832i) q^{10} +(-13.6457 - 3.65635i) q^{11} +(10.3161 - 6.13014i) q^{12} +(3.24202 + 12.0994i) q^{13} +(22.0351 - 1.43815i) q^{14} +(10.3205 - 1.49671i) q^{15} +(-4.15816 + 15.4502i) q^{16} -3.35825i q^{17} +(13.8367 + 11.5129i) q^{18} +(-20.7129 + 20.7129i) q^{19} +(-8.47065 + 11.0266i) q^{20} +(13.0760 + 30.4326i) q^{21} +(21.2374 + 18.6351i) q^{22} +(5.31262 - 9.20173i) q^{23} +(-23.9275 + 1.86394i) q^{24} +(11.1860 - 6.45822i) q^{25} +(4.89426 - 24.5697i) q^{26} +(-9.34286 + 25.3320i) q^{27} +(-40.7928 - 16.9233i) q^{28} +(5.51793 - 20.5932i) q^{29} +(-19.8345 - 6.44999i) q^{30} +(-7.98977 + 13.8387i) q^{31} +(21.1322 - 24.0297i) q^{32} +(-15.7035 + 39.3645i) q^{33} +(-2.97229 + 6.02302i) q^{34} +(-27.1387 - 27.1387i) q^{35} +(-14.6264 - 32.8948i) q^{36} +(5.43006 + 5.43006i) q^{37} +(55.4811 - 18.8162i) q^{38} +(37.1895 - 5.39338i) q^{39} +(24.9514 - 12.2790i) q^{40} +(-33.7565 + 58.4680i) q^{41} +(3.48329 - 66.1542i) q^{42} +(17.6396 - 65.8318i) q^{43} +(-21.5960 - 52.2188i) q^{44} +(-0.820845 - 31.2745i) q^{45} +(-17.6724 + 11.8013i) q^{46} +(4.11217 - 2.37416i) q^{47} +(44.5637 + 17.8346i) q^{48} +(36.4515 - 63.1359i) q^{49} +(-25.7780 + 1.68244i) q^{50} +(-10.0049 - 1.18386i) q^{51} +(-30.5238 + 39.7340i) q^{52} +(-38.8691 + 38.8691i) q^{53} +(39.1771 - 37.1639i) q^{54} -49.1077i q^{55} +(58.1836 + 66.4565i) q^{56} +(54.4065 + 69.0100i) q^{57} +(-28.1229 + 32.0502i) q^{58} +(-26.1101 - 97.4442i) q^{59} +(29.8644 + 29.1230i) q^{60} +(-83.6635 - 22.4176i) q^{61} +(26.5779 - 17.7482i) q^{62} +(95.2750 - 28.2280i) q^{63} +(-59.1687 + 24.3938i) q^{64} +(-37.7092 + 21.7714i) q^{65} +(63.0047 - 56.7017i) q^{66} +(5.02385 + 18.7493i) q^{67} +(10.6616 - 8.17160i) q^{68} +(-25.5411 - 19.0713i) q^{69} +(24.6536 + 72.6931i) q^{70} -5.30777 q^{71} +(-2.88190 + 71.9423i) q^{72} +26.3975i q^{73} +(-4.93283 - 14.5448i) q^{74} +(-15.2971 - 35.6021i) q^{75} +(-116.159 - 15.3578i) q^{76} +(150.662 - 40.3697i) q^{77} +(-71.4730 - 23.2424i) q^{78} +(10.9444 + 18.9562i) q^{79} +(-55.6182 - 0.0613761i) q^{80} +(72.1760 + 36.7645i) q^{81} +(112.291 - 74.9854i) q^{82} +(-26.9215 + 100.472i) q^{83} +(-64.7985 + 115.565i) q^{84} +(11.2760 - 3.02138i) q^{85} +(-89.9025 + 102.457i) q^{86} +(-59.4064 - 23.6987i) q^{87} +(-7.48497 + 112.768i) q^{88} +6.78644 q^{89} +(-26.2080 + 56.8174i) q^{90} +(-97.7939 - 97.7939i) q^{91} +(42.1404 - 5.52424i) q^{92} +(38.4119 + 28.6817i) q^{93} +(-9.47649 + 0.618496i) q^{94} +(-88.1829 - 50.9124i) q^{95} +(-64.1402 - 71.4285i) q^{96} +(-2.33267 - 4.04031i) q^{97} +(-121.256 + 80.9721i) q^{98} +(111.740 + 60.6609i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 184q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} - 10q^{6} + O(q^{10}) \) \( 184q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} - 10q^{6} - 8q^{10} - 6q^{11} - 64q^{12} - 2q^{13} - 6q^{14} - 8q^{15} - 2q^{16} + 54q^{18} - 8q^{19} + 120q^{20} - 22q^{21} - 2q^{22} - 160q^{24} + 44q^{27} - 72q^{28} - 6q^{29} - 90q^{30} - 4q^{31} - 6q^{32} - 8q^{33} + 6q^{34} - 202q^{36} - 8q^{37} - 6q^{38} - 2q^{40} + 44q^{42} - 2q^{43} + 46q^{45} - 160q^{46} - 12q^{47} - 118q^{48} + 472q^{49} + 228q^{50} - 48q^{51} - 2q^{52} + 206q^{54} - 300q^{56} - 92q^{58} - 438q^{59} - 90q^{60} - 2q^{61} - 204q^{63} + 244q^{64} - 12q^{65} - 508q^{66} - 2q^{67} - 144q^{68} + 14q^{69} + 96q^{70} + 6q^{72} + 246q^{74} + 152q^{75} - 158q^{76} - 6q^{77} + 304q^{78} - 4q^{79} - 8q^{81} - 388q^{82} - 726q^{83} + 542q^{84} + 48q^{85} + 894q^{86} + 22q^{88} - 528q^{90} - 204q^{91} - 348q^{92} + 62q^{93} - 18q^{94} - 12q^{95} + 262q^{96} - 4q^{97} + 286q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{5}{6}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.79350 0.885072i −0.896751 0.442536i
\(3\) 0.352522 2.97922i 0.117507 0.993072i
\(4\) 2.43329 + 3.17476i 0.608324 + 0.793689i
\(5\) 0.899691 + 3.35769i 0.179938 + 0.671539i 0.995658 + 0.0930909i \(0.0296747\pi\)
−0.815719 + 0.578448i \(0.803659\pi\)
\(6\) −3.26907 + 5.03122i −0.544845 + 0.838537i
\(7\) −9.56176 + 5.52049i −1.36597 + 0.788641i −0.990410 0.138159i \(-0.955882\pi\)
−0.375556 + 0.926800i \(0.622548\pi\)
\(8\) −1.55423 7.84757i −0.194279 0.980946i
\(9\) −8.75146 2.10048i −0.972384 0.233387i
\(10\) 1.35820 6.81832i 0.135820 0.681832i
\(11\) −13.6457 3.65635i −1.24052 0.332396i −0.421852 0.906665i \(-0.638620\pi\)
−0.818667 + 0.574269i \(0.805286\pi\)
\(12\) 10.3161 6.13014i 0.859673 0.510845i
\(13\) 3.24202 + 12.0994i 0.249386 + 0.930722i 0.971128 + 0.238559i \(0.0766751\pi\)
−0.721742 + 0.692162i \(0.756658\pi\)
\(14\) 22.0351 1.43815i 1.57393 0.102725i
\(15\) 10.3205 1.49671i 0.688030 0.0997809i
\(16\) −4.15816 + 15.4502i −0.259885 + 0.965640i
\(17\) 3.35825i 0.197544i −0.995110 0.0987719i \(-0.968509\pi\)
0.995110 0.0987719i \(-0.0314914\pi\)
\(18\) 13.8367 + 11.5129i 0.768704 + 0.639605i
\(19\) −20.7129 + 20.7129i −1.09015 + 1.09015i −0.0946427 + 0.995511i \(0.530171\pi\)
−0.995511 + 0.0946427i \(0.969829\pi\)
\(20\) −8.47065 + 11.0266i −0.423532 + 0.551328i
\(21\) 13.0760 + 30.4326i 0.622666 + 1.44917i
\(22\) 21.2374 + 18.6351i 0.965339 + 0.847050i
\(23\) 5.31262 9.20173i 0.230983 0.400075i −0.727114 0.686516i \(-0.759139\pi\)
0.958098 + 0.286441i \(0.0924723\pi\)
\(24\) −23.9275 + 1.86394i −0.996980 + 0.0776641i
\(25\) 11.1860 6.45822i 0.447439 0.258329i
\(26\) 4.89426 24.5697i 0.188241 0.944987i
\(27\) −9.34286 + 25.3320i −0.346032 + 0.938223i
\(28\) −40.7928 16.9233i −1.45688 0.604404i
\(29\) 5.51793 20.5932i 0.190274 0.710111i −0.803166 0.595755i \(-0.796853\pi\)
0.993440 0.114356i \(-0.0364804\pi\)
\(30\) −19.8345 6.44999i −0.661148 0.215000i
\(31\) −7.98977 + 13.8387i −0.257734 + 0.446409i −0.965635 0.259903i \(-0.916309\pi\)
0.707900 + 0.706312i \(0.249643\pi\)
\(32\) 21.1322 24.0297i 0.660382 0.750930i
\(33\) −15.7035 + 39.3645i −0.475863 + 1.19287i
\(34\) −2.97229 + 6.02302i −0.0874203 + 0.177148i
\(35\) −27.1387 27.1387i −0.775392 0.775392i
\(36\) −14.6264 32.8948i −0.406288 0.913745i
\(37\) 5.43006 + 5.43006i 0.146758 + 0.146758i 0.776668 0.629910i \(-0.216908\pi\)
−0.629910 + 0.776668i \(0.716908\pi\)
\(38\) 55.4811 18.8162i 1.46003 0.495164i
\(39\) 37.1895 5.39338i 0.953578 0.138292i
\(40\) 24.9514 12.2790i 0.623785 0.306975i
\(41\) −33.7565 + 58.4680i −0.823329 + 1.42605i 0.0798604 + 0.996806i \(0.474553\pi\)
−0.903190 + 0.429242i \(0.858781\pi\)
\(42\) 3.48329 66.1542i 0.0829354 1.57510i
\(43\) 17.6396 65.8318i 0.410223 1.53097i −0.383992 0.923336i \(-0.625451\pi\)
0.794215 0.607636i \(-0.207882\pi\)
\(44\) −21.5960 52.2188i −0.490818 1.18679i
\(45\) −0.820845 31.2745i −0.0182410 0.694989i
\(46\) −17.6724 + 11.8013i −0.384182 + 0.256549i
\(47\) 4.11217 2.37416i 0.0874930 0.0505141i −0.455615 0.890177i \(-0.650581\pi\)
0.543108 + 0.839663i \(0.317247\pi\)
\(48\) 44.5637 + 17.8346i 0.928411 + 0.371554i
\(49\) 36.4515 63.1359i 0.743909 1.28849i
\(50\) −25.7780 + 1.68244i −0.515561 + 0.0336488i
\(51\) −10.0049 1.18386i −0.196175 0.0232129i
\(52\) −30.5238 + 39.7340i −0.586996 + 0.764115i
\(53\) −38.8691 + 38.8691i −0.733380 + 0.733380i −0.971288 0.237908i \(-0.923538\pi\)
0.237908 + 0.971288i \(0.423538\pi\)
\(54\) 39.1771 37.1639i 0.725502 0.688220i
\(55\) 49.1077i 0.892867i
\(56\) 58.1836 + 66.4565i 1.03899 + 1.18672i
\(57\) 54.4065 + 69.0100i 0.954500 + 1.21070i
\(58\) −28.1229 + 32.0502i −0.484878 + 0.552589i
\(59\) −26.1101 97.4442i −0.442544 1.65160i −0.722340 0.691538i \(-0.756934\pi\)
0.279796 0.960059i \(-0.409733\pi\)
\(60\) 29.8644 + 29.1230i 0.497740 + 0.485383i
\(61\) −83.6635 22.4176i −1.37153 0.367501i −0.503495 0.863998i \(-0.667953\pi\)
−0.868039 + 0.496497i \(0.834619\pi\)
\(62\) 26.5779 17.7482i 0.428676 0.286261i
\(63\) 95.2750 28.2280i 1.51230 0.448064i
\(64\) −59.1687 + 24.3938i −0.924512 + 0.381154i
\(65\) −37.7092 + 21.7714i −0.580141 + 0.334945i
\(66\) 63.0047 56.7017i 0.954616 0.859116i
\(67\) 5.02385 + 18.7493i 0.0749829 + 0.279840i 0.993229 0.116169i \(-0.0370615\pi\)
−0.918247 + 0.396009i \(0.870395\pi\)
\(68\) 10.6616 8.17160i 0.156788 0.120171i
\(69\) −25.5411 19.0713i −0.370161 0.276395i
\(70\) 24.6536 + 72.6931i 0.352195 + 1.03847i
\(71\) −5.30777 −0.0747573 −0.0373787 0.999301i \(-0.511901\pi\)
−0.0373787 + 0.999301i \(0.511901\pi\)
\(72\) −2.88190 + 71.9423i −0.0400264 + 0.999199i
\(73\) 26.3975i 0.361610i 0.983519 + 0.180805i \(0.0578703\pi\)
−0.983519 + 0.180805i \(0.942130\pi\)
\(74\) −4.93283 14.5448i −0.0666598 0.196552i
\(75\) −15.2971 35.6021i −0.203962 0.474695i
\(76\) −116.159 15.3578i −1.52841 0.202077i
\(77\) 150.662 40.3697i 1.95665 0.524282i
\(78\) −71.4730 23.2424i −0.916321 0.297980i
\(79\) 10.9444 + 18.9562i 0.138537 + 0.239952i 0.926943 0.375202i \(-0.122427\pi\)
−0.788406 + 0.615155i \(0.789093\pi\)
\(80\) −55.6182 0.0613761i −0.695228 0.000767201i
\(81\) 72.1760 + 36.7645i 0.891061 + 0.453883i
\(82\) 112.291 74.9854i 1.36940 0.914457i
\(83\) −26.9215 + 100.472i −0.324355 + 1.21051i 0.590604 + 0.806962i \(0.298890\pi\)
−0.914959 + 0.403547i \(0.867777\pi\)
\(84\) −64.7985 + 115.565i −0.771411 + 1.37577i
\(85\) 11.2760 3.02138i 0.132658 0.0355457i
\(86\) −89.9025 + 102.457i −1.04538 + 1.19136i
\(87\) −59.4064 23.6987i −0.682832 0.272399i
\(88\) −7.48497 + 112.768i −0.0850565 + 1.28146i
\(89\) 6.78644 0.0762522 0.0381261 0.999273i \(-0.487861\pi\)
0.0381261 + 0.999273i \(0.487861\pi\)
\(90\) −26.2080 + 56.8174i −0.291200 + 0.631304i
\(91\) −97.7939 97.7939i −1.07466 1.07466i
\(92\) 42.1404 5.52424i 0.458048 0.0600461i
\(93\) 38.4119 + 28.6817i 0.413031 + 0.308405i
\(94\) −9.47649 + 0.618496i −0.100814 + 0.00657975i
\(95\) −88.1829 50.9124i −0.928241 0.535920i
\(96\) −64.1402 71.4285i −0.668127 0.744047i
\(97\) −2.33267 4.04031i −0.0240482 0.0416527i 0.853751 0.520682i \(-0.174322\pi\)
−0.877799 + 0.479029i \(0.840989\pi\)
\(98\) −121.256 + 80.9721i −1.23730 + 0.826246i
\(99\) 111.740 + 60.6609i 1.12868 + 0.612737i
\(100\) 47.7220 + 19.7980i 0.477220 + 0.197980i
\(101\) −71.4705 19.1505i −0.707629 0.189609i −0.112984 0.993597i \(-0.536041\pi\)
−0.594645 + 0.803988i \(0.702707\pi\)
\(102\) 16.8961 + 10.9783i 0.165648 + 0.107631i
\(103\) 147.594 + 85.2134i 1.43295 + 0.827315i 0.997345 0.0728222i \(-0.0232006\pi\)
0.435607 + 0.900137i \(0.356534\pi\)
\(104\) 89.9119 44.2472i 0.864538 0.425454i
\(105\) −90.4192 + 71.2852i −0.861135 + 0.678906i
\(106\) 104.114 35.3099i 0.982206 0.333112i
\(107\) −93.9944 + 93.9944i −0.878453 + 0.878453i −0.993375 0.114922i \(-0.963338\pi\)
0.114922 + 0.993375i \(0.463338\pi\)
\(108\) −103.157 + 31.9789i −0.955157 + 0.296101i
\(109\) 64.2200 64.2200i 0.589174 0.589174i −0.348234 0.937408i \(-0.613218\pi\)
0.937408 + 0.348234i \(0.113218\pi\)
\(110\) −43.4638 + 88.0747i −0.395126 + 0.800679i
\(111\) 18.0915 14.2631i 0.162987 0.128497i
\(112\) −45.5335 170.687i −0.406549 1.52399i
\(113\) 39.7611 + 22.9561i 0.351868 + 0.203151i 0.665508 0.746391i \(-0.268215\pi\)
−0.313640 + 0.949542i \(0.601548\pi\)
\(114\) −36.4993 171.923i −0.320169 1.50810i
\(115\) 35.6763 + 9.55944i 0.310229 + 0.0831255i
\(116\) 78.8052 32.5912i 0.679355 0.280959i
\(117\) −2.95790 112.697i −0.0252812 0.963222i
\(118\) −39.4167 + 197.876i −0.334040 + 1.67691i
\(119\) 18.5391 + 32.1107i 0.155791 + 0.269838i
\(120\) −27.7859 78.6643i −0.231549 0.655536i
\(121\) 68.0472 + 39.2871i 0.562373 + 0.324686i
\(122\) 130.210 + 114.254i 1.06729 + 0.936510i
\(123\) 162.289 + 121.179i 1.31942 + 0.985196i
\(124\) −63.3759 + 8.30803i −0.511096 + 0.0670002i
\(125\) 93.1987 + 93.1987i 0.745590 + 0.745590i
\(126\) −195.860 33.6983i −1.55444 0.267447i
\(127\) 219.086 1.72509 0.862543 0.505984i \(-0.168870\pi\)
0.862543 + 0.505984i \(0.168870\pi\)
\(128\) 127.710 + 8.61824i 0.997731 + 0.0673300i
\(129\) −189.909 75.7593i −1.47216 0.587281i
\(130\) 86.9008 5.67170i 0.668467 0.0436285i
\(131\) 25.6365 6.86928i 0.195699 0.0524373i −0.159638 0.987176i \(-0.551033\pi\)
0.355337 + 0.934738i \(0.384366\pi\)
\(132\) −163.184 + 45.9308i −1.23624 + 0.347961i
\(133\) 83.7067 312.397i 0.629373 2.34885i
\(134\) 7.58417 38.0733i 0.0565983 0.284129i
\(135\) −93.4628 8.57948i −0.692317 0.0635517i
\(136\) −26.3541 + 5.21948i −0.193780 + 0.0383785i
\(137\) −0.138377 0.239677i −0.00101005 0.00174947i 0.865520 0.500874i \(-0.166988\pi\)
−0.866530 + 0.499125i \(0.833655\pi\)
\(138\) 28.9286 + 56.8100i 0.209627 + 0.411667i
\(139\) −171.055 + 45.8340i −1.23061 + 0.329741i −0.814817 0.579719i \(-0.803162\pi\)
−0.415792 + 0.909460i \(0.636496\pi\)
\(140\) 20.1223 152.195i 0.143731 1.08711i
\(141\) −5.62351 13.0880i −0.0398831 0.0928226i
\(142\) 9.51949 + 4.69776i 0.0670387 + 0.0330828i
\(143\) 176.958i 1.23747i
\(144\) 68.8428 126.478i 0.478075 0.878319i
\(145\) 74.1101 0.511104
\(146\) 23.3637 47.3440i 0.160025 0.324274i
\(147\) −175.246 130.854i −1.19215 0.890162i
\(148\) −4.02619 + 30.4521i −0.0272040 + 0.205757i
\(149\) −3.17865 11.8629i −0.0213332 0.0796166i 0.954439 0.298407i \(-0.0964554\pi\)
−0.975772 + 0.218791i \(0.929789\pi\)
\(150\) −4.07498 + 77.3915i −0.0271665 + 0.515943i
\(151\) −201.814 + 116.517i −1.33652 + 0.771639i −0.986289 0.165026i \(-0.947229\pi\)
−0.350228 + 0.936664i \(0.613896\pi\)
\(152\) 194.739 + 130.354i 1.28118 + 0.857589i
\(153\) −7.05392 + 29.3895i −0.0461041 + 0.192089i
\(154\) −305.942 60.9434i −1.98664 0.395737i
\(155\) −53.6544 14.3767i −0.346157 0.0927526i
\(156\) 107.616 + 104.944i 0.689845 + 0.672719i
\(157\) −34.2246 127.728i −0.217991 0.813554i −0.985092 0.172028i \(-0.944968\pi\)
0.767101 0.641527i \(-0.221699\pi\)
\(158\) −2.85114 43.6846i −0.0180452 0.276485i
\(159\) 102.097 + 129.502i 0.642121 + 0.814477i
\(160\) 99.6970 + 49.3362i 0.623106 + 0.308351i
\(161\) 117.313i 0.728652i
\(162\) −96.9085 129.818i −0.598200 0.801346i
\(163\) 67.3055 67.3055i 0.412917 0.412917i −0.469836 0.882754i \(-0.655687\pi\)
0.882754 + 0.469836i \(0.155687\pi\)
\(164\) −267.761 + 35.1011i −1.63269 + 0.214031i
\(165\) −146.302 17.3115i −0.886681 0.104918i
\(166\) 137.209 156.370i 0.826560 0.941986i
\(167\) 75.1904 130.234i 0.450242 0.779842i −0.548159 0.836374i \(-0.684671\pi\)
0.998401 + 0.0565320i \(0.0180043\pi\)
\(168\) 218.499 149.914i 1.30059 0.892345i
\(169\) 10.4740 6.04716i 0.0619763 0.0357820i
\(170\) −22.8976 4.56118i −0.134692 0.0268305i
\(171\) 224.775 137.761i 1.31448 0.805621i
\(172\) 251.922 104.187i 1.46466 0.605737i
\(173\) −43.8621 + 163.696i −0.253538 + 0.946218i 0.715359 + 0.698757i \(0.246263\pi\)
−0.968898 + 0.247461i \(0.920404\pi\)
\(174\) 85.5705 + 95.0826i 0.491784 + 0.546452i
\(175\) −71.3051 + 123.504i −0.407457 + 0.705737i
\(176\) 113.233 195.626i 0.643367 1.11151i
\(177\) −299.512 + 43.4364i −1.69216 + 0.245403i
\(178\) −12.1715 6.00649i −0.0683792 0.0337443i
\(179\) −196.758 196.758i −1.09921 1.09921i −0.994503 0.104704i \(-0.966610\pi\)
−0.104704 0.994503i \(-0.533390\pi\)
\(180\) 97.2915 78.7060i 0.540509 0.437256i
\(181\) 110.848 + 110.848i 0.612419 + 0.612419i 0.943576 0.331157i \(-0.107439\pi\)
−0.331157 + 0.943576i \(0.607439\pi\)
\(182\) 88.8388 + 261.948i 0.488125 + 1.43928i
\(183\) −96.2801 + 241.349i −0.526121 + 1.31885i
\(184\) −80.4682 27.3896i −0.437327 0.148856i
\(185\) −13.3471 + 23.1179i −0.0721465 + 0.124961i
\(186\) −43.5064 85.4379i −0.233905 0.459344i
\(187\) −12.2789 + 45.8256i −0.0656628 + 0.245057i
\(188\) 17.5435 + 7.27810i 0.0933165 + 0.0387133i
\(189\) −50.5108 293.796i −0.267253 1.55448i
\(190\) 113.095 + 169.360i 0.595237 + 0.891367i
\(191\) −70.9725 + 40.9760i −0.371584 + 0.214534i −0.674150 0.738594i \(-0.735490\pi\)
0.302567 + 0.953128i \(0.402157\pi\)
\(192\) 51.8162 + 184.876i 0.269876 + 0.962895i
\(193\) 55.5974 96.2976i 0.288070 0.498951i −0.685279 0.728280i \(-0.740320\pi\)
0.973349 + 0.229329i \(0.0736532\pi\)
\(194\) 0.607688 + 9.31088i 0.00313241 + 0.0479942i
\(195\) 51.5684 + 120.019i 0.264453 + 0.615481i
\(196\) 289.138 37.9035i 1.47520 0.193385i
\(197\) −66.1071 + 66.1071i −0.335569 + 0.335569i −0.854697 0.519128i \(-0.826257\pi\)
0.519128 + 0.854697i \(0.326257\pi\)
\(198\) −146.716 207.693i −0.740990 1.04896i
\(199\) 333.320i 1.67498i 0.546456 + 0.837488i \(0.315977\pi\)
−0.546456 + 0.837488i \(0.684023\pi\)
\(200\) −68.0669 77.7452i −0.340335 0.388726i
\(201\) 57.6291 8.35761i 0.286712 0.0415801i
\(202\) 111.233 + 97.6030i 0.550658 + 0.483183i
\(203\) 60.9233 + 227.369i 0.300115 + 1.12004i
\(204\) −20.5865 34.6439i −0.100914 0.169823i
\(205\) −226.688 60.7409i −1.10579 0.296297i
\(206\) −189.290 283.462i −0.918884 1.37603i
\(207\) −65.8212 + 69.3695i −0.317977 + 0.335118i
\(208\) −200.419 0.221167i −0.963553 0.00106330i
\(209\) 358.376 206.909i 1.71472 0.989993i
\(210\) 225.259 47.8225i 1.07266 0.227726i
\(211\) 72.1365 + 269.217i 0.341879 + 1.27591i 0.896216 + 0.443618i \(0.146305\pi\)
−0.554337 + 0.832292i \(0.687028\pi\)
\(212\) −217.980 28.8200i −1.02821 0.135943i
\(213\) −1.87111 + 15.8130i −0.00878453 + 0.0742394i
\(214\) 251.771 85.3873i 1.17650 0.399006i
\(215\) 236.913 1.10192
\(216\) 213.316 + 33.9470i 0.987573 + 0.157162i
\(217\) 176.430i 0.813040i
\(218\) −172.018 + 58.3393i −0.789073 + 0.267612i
\(219\) 78.6440 + 9.30571i 0.359105 + 0.0424918i
\(220\) 155.905 119.493i 0.708659 0.543152i
\(221\) 40.6327 10.8875i 0.183858 0.0492647i
\(222\) −45.0711 + 9.56859i −0.203023 + 0.0431018i
\(223\) 54.4410 + 94.2947i 0.244130 + 0.422846i 0.961887 0.273448i \(-0.0881642\pi\)
−0.717756 + 0.696294i \(0.754831\pi\)
\(224\) −69.4055 + 346.427i −0.309846 + 1.54655i
\(225\) −111.459 + 33.0230i −0.495373 + 0.146769i
\(226\) −50.9937 76.3631i −0.225636 0.337890i
\(227\) −46.9559 + 175.242i −0.206854 + 0.771990i 0.782022 + 0.623251i \(0.214188\pi\)
−0.988876 + 0.148740i \(0.952478\pi\)
\(228\) −86.7030 + 340.649i −0.380276 + 1.49408i
\(229\) −328.374 + 87.9876i −1.43395 + 0.384225i −0.890410 0.455159i \(-0.849582\pi\)
−0.543539 + 0.839384i \(0.682916\pi\)
\(230\) −55.5247 48.7210i −0.241412 0.211830i
\(231\) −67.1585 463.085i −0.290729 2.00470i
\(232\) −170.183 11.2958i −0.733547 0.0486889i
\(233\) −158.254 −0.679200 −0.339600 0.940570i \(-0.610292\pi\)
−0.339600 + 0.940570i \(0.610292\pi\)
\(234\) −94.4400 + 204.740i −0.403590 + 0.874958i
\(235\) 11.6714 + 11.6714i 0.0496655 + 0.0496655i
\(236\) 245.828 320.004i 1.04164 1.35595i
\(237\) 60.3329 25.9232i 0.254569 0.109381i
\(238\) −4.82966 73.9992i −0.0202927 0.310921i
\(239\) 284.323 + 164.154i 1.18964 + 0.686837i 0.958224 0.286019i \(-0.0923321\pi\)
0.231412 + 0.972856i \(0.425665\pi\)
\(240\) −19.7895 + 165.677i −0.0824563 + 0.690321i
\(241\) 47.0698 + 81.5273i 0.195310 + 0.338287i 0.947002 0.321227i \(-0.104095\pi\)
−0.751692 + 0.659514i \(0.770762\pi\)
\(242\) −87.2708 130.688i −0.360623 0.540033i
\(243\) 134.973 202.068i 0.555444 0.831554i
\(244\) −132.408 320.160i −0.542654 1.31213i
\(245\) 244.786 + 65.5902i 0.999127 + 0.267715i
\(246\) −183.813 360.972i −0.747207 1.46737i
\(247\) −317.765 183.462i −1.28650 0.742761i
\(248\) 121.018 + 41.1918i 0.487976 + 0.166096i
\(249\) 289.838 + 115.624i 1.16401 + 0.464352i
\(250\) −84.6644 249.640i −0.338658 0.998559i
\(251\) −55.6766 + 55.6766i −0.221819 + 0.221819i −0.809264 0.587445i \(-0.800134\pi\)
0.587445 + 0.809264i \(0.300134\pi\)
\(252\) 321.449 + 233.788i 1.27559 + 0.927730i
\(253\) −106.139 + 106.139i −0.419522 + 0.419522i
\(254\) −392.931 193.907i −1.54697 0.763413i
\(255\) −5.02633 34.6586i −0.0197111 0.135916i
\(256\) −221.419 128.489i −0.864920 0.501910i
\(257\) −334.479 193.111i −1.30147 0.751406i −0.320817 0.947141i \(-0.603957\pi\)
−0.980657 + 0.195735i \(0.937291\pi\)
\(258\) 273.549 + 303.957i 1.06027 + 1.17813i
\(259\) −81.8976 21.9444i −0.316207 0.0847274i
\(260\) −160.877 66.7413i −0.618756 0.256697i
\(261\) −91.5456 + 168.630i −0.350749 + 0.646093i
\(262\) −52.0589 10.3701i −0.198698 0.0395805i
\(263\) 109.201 + 189.142i 0.415214 + 0.719171i 0.995451 0.0952763i \(-0.0303735\pi\)
−0.580237 + 0.814448i \(0.697040\pi\)
\(264\) 333.323 + 62.0527i 1.26259 + 0.235048i
\(265\) −165.481 95.5404i −0.624456 0.360530i
\(266\) −426.622 + 486.199i −1.60384 + 1.82782i
\(267\) 2.39237 20.2183i 0.00896019 0.0757239i
\(268\) −47.2999 + 61.5720i −0.176492 + 0.229746i
\(269\) 180.305 + 180.305i 0.670279 + 0.670279i 0.957780 0.287501i \(-0.0928245\pi\)
−0.287501 + 0.957780i \(0.592825\pi\)
\(270\) 160.032 + 98.1087i 0.592712 + 0.363365i
\(271\) −14.3071 −0.0527937 −0.0263969 0.999652i \(-0.508403\pi\)
−0.0263969 + 0.999652i \(0.508403\pi\)
\(272\) 51.8857 + 13.9641i 0.190756 + 0.0513387i
\(273\) −325.824 + 256.875i −1.19349 + 0.940932i
\(274\) 0.0360489 + 0.552335i 0.000131565 + 0.00201582i
\(275\) −176.254 + 47.2271i −0.640924 + 0.171735i
\(276\) −1.60247 127.493i −0.00580606 0.461930i
\(277\) −17.6365 + 65.8204i −0.0636698 + 0.237619i −0.990426 0.138044i \(-0.955918\pi\)
0.926756 + 0.375663i \(0.122585\pi\)
\(278\) 347.353 + 69.1924i 1.24947 + 0.248894i
\(279\) 98.9900 104.326i 0.354803 0.373929i
\(280\) −170.793 + 255.153i −0.609976 + 0.911261i
\(281\) −142.826 247.383i −0.508279 0.880365i −0.999954 0.00958616i \(-0.996949\pi\)
0.491675 0.870779i \(-0.336385\pi\)
\(282\) −1.49804 + 28.4505i −0.00531219 + 0.100888i
\(283\) −275.380 + 73.7879i −0.973074 + 0.260734i −0.710125 0.704075i \(-0.751362\pi\)
−0.262949 + 0.964810i \(0.584695\pi\)
\(284\) −12.9154 16.8509i −0.0454766 0.0593341i
\(285\) −182.766 + 244.768i −0.641283 + 0.858836i
\(286\) −156.621 + 317.375i −0.547626 + 1.10970i
\(287\) 745.409i 2.59724i
\(288\) −235.412 + 165.907i −0.817402 + 0.576068i
\(289\) 277.722 0.960976
\(290\) −132.917 65.5928i −0.458333 0.226182i
\(291\) −12.8593 + 5.52524i −0.0441899 + 0.0189871i
\(292\) −83.8057 + 64.2330i −0.287006 + 0.219976i
\(293\) 74.0589 + 276.392i 0.252761 + 0.943316i 0.969322 + 0.245792i \(0.0790482\pi\)
−0.716562 + 0.697524i \(0.754285\pi\)
\(294\) 198.488 + 389.791i 0.675129 + 1.32582i
\(295\) 303.697 175.339i 1.02948 0.594371i
\(296\) 34.1733 51.0524i 0.115450 0.172474i
\(297\) 220.113 311.512i 0.741120 1.04886i
\(298\) −4.79859 + 24.0894i −0.0161027 + 0.0808370i
\(299\) 128.559 + 34.4472i 0.429963 + 0.115208i
\(300\) 75.8055 135.195i 0.252685 0.450650i
\(301\) 194.758 + 726.847i 0.647037 + 2.41478i
\(302\) 465.080 30.3541i 1.54000 0.100510i
\(303\) −82.2483 + 206.175i −0.271447 + 0.680446i
\(304\) −233.892 406.147i −0.769381 1.33601i
\(305\) 301.085i 0.987165i
\(306\) 38.6631 46.4670i 0.126350 0.151853i
\(307\) 98.8212 98.8212i 0.321893 0.321893i −0.527600 0.849493i \(-0.676908\pi\)
0.849493 + 0.527600i \(0.176908\pi\)
\(308\) 494.769 + 380.083i 1.60639 + 1.23404i
\(309\) 305.899 409.675i 0.989966 1.32581i
\(310\) 83.5049 + 73.2726i 0.269371 + 0.236363i
\(311\) 2.88217 4.99206i 0.00926742 0.0160516i −0.861355 0.508004i \(-0.830383\pi\)
0.870622 + 0.491953i \(0.163717\pi\)
\(312\) −100.126 283.465i −0.320917 0.908542i
\(313\) −25.7673 + 14.8768i −0.0823236 + 0.0475296i −0.540597 0.841282i \(-0.681801\pi\)
0.458273 + 0.888811i \(0.348468\pi\)
\(314\) −51.6666 + 259.372i −0.164543 + 0.826024i
\(315\) 180.499 + 294.508i 0.573013 + 0.934945i
\(316\) −33.5505 + 80.8719i −0.106173 + 0.255924i
\(317\) 103.728 387.120i 0.327219 1.22120i −0.584843 0.811147i \(-0.698844\pi\)
0.912062 0.410052i \(-0.134489\pi\)
\(318\) −68.4933 322.625i −0.215388 1.01454i
\(319\) −150.592 + 260.833i −0.472076 + 0.817659i
\(320\) −135.141 176.724i −0.422314 0.552261i
\(321\) 246.895 + 313.165i 0.769142 + 0.975591i
\(322\) 103.830 210.401i 0.322455 0.653419i
\(323\) 69.5591 + 69.5591i 0.215353 + 0.215353i
\(324\) 58.9071 + 318.600i 0.181812 + 0.983333i
\(325\) 114.406 + 114.406i 0.352017 + 0.352017i
\(326\) −180.283 + 61.1423i −0.553015 + 0.187553i
\(327\) −168.686 213.964i −0.515860 0.654325i
\(328\) 511.297 + 174.034i 1.55883 + 0.530591i
\(329\) −26.2131 + 45.4024i −0.0796750 + 0.138001i
\(330\) 247.072 + 160.536i 0.748702 + 0.486474i
\(331\) 105.631 394.221i 0.319127 1.19100i −0.600957 0.799281i \(-0.705214\pi\)
0.920085 0.391719i \(-0.128119\pi\)
\(332\) −384.483 + 159.010i −1.15808 + 0.478944i
\(333\) −36.1152 58.9267i −0.108454 0.176957i
\(334\) −250.120 + 167.025i −0.748863 + 0.500076i
\(335\) −58.4344 + 33.7371i −0.174431 + 0.100708i
\(336\) −524.564 + 75.4833i −1.56120 + 0.224653i
\(337\) 2.76931 4.79659i 0.00821754 0.0142332i −0.861887 0.507100i \(-0.830718\pi\)
0.870105 + 0.492867i \(0.164051\pi\)
\(338\) −24.1373 + 1.57535i −0.0714121 + 0.00466081i
\(339\) 82.4077 110.364i 0.243091 0.325558i
\(340\) 37.0299 + 28.4465i 0.108911 + 0.0836662i
\(341\) 159.625 159.625i 0.468109 0.468109i
\(342\) −525.063 + 48.1325i −1.53527 + 0.140738i
\(343\) 263.913i 0.769426i
\(344\) −544.036 36.1102i −1.58150 0.104972i
\(345\) 41.0563 102.917i 0.119004 0.298312i
\(346\) 223.549 254.767i 0.646097 0.736322i
\(347\) −25.2318 94.1662i −0.0727140 0.271372i 0.919991 0.391939i \(-0.128196\pi\)
−0.992705 + 0.120567i \(0.961529\pi\)
\(348\) −69.3158 246.267i −0.199183 0.707663i
\(349\) −508.765 136.323i −1.45778 0.390611i −0.559057 0.829130i \(-0.688837\pi\)
−0.898722 + 0.438519i \(0.855503\pi\)
\(350\) 237.196 158.394i 0.677702 0.452556i
\(351\) −336.791 30.9160i −0.959520 0.0880797i
\(352\) −376.225 + 250.636i −1.06882 + 0.712034i
\(353\) 160.935 92.9157i 0.455906 0.263217i −0.254415 0.967095i \(-0.581883\pi\)
0.710321 + 0.703878i \(0.248550\pi\)
\(354\) 575.619 + 187.186i 1.62604 + 0.528775i
\(355\) −4.77535 17.8219i −0.0134517 0.0502024i
\(356\) 16.5134 + 21.5453i 0.0463860 + 0.0605205i
\(357\) 102.200 43.9124i 0.286275 0.123004i
\(358\) 178.741 + 527.031i 0.499276 + 1.47215i
\(359\) 103.860 0.289304 0.144652 0.989483i \(-0.453794\pi\)
0.144652 + 0.989483i \(0.453794\pi\)
\(360\) −244.153 + 55.0493i −0.678203 + 0.152915i
\(361\) 497.051i 1.37687i
\(362\) −100.697 296.914i −0.278170 0.820205i
\(363\) 141.033 188.878i 0.388520 0.520324i
\(364\) 72.5104 548.433i 0.199205 1.50668i
\(365\) −88.6348 + 23.7496i −0.242835 + 0.0650675i
\(366\) 386.290 347.645i 1.05544 0.949850i
\(367\) 39.5429 + 68.4903i 0.107746 + 0.186622i 0.914857 0.403778i \(-0.132303\pi\)
−0.807111 + 0.590400i \(0.798970\pi\)
\(368\) 120.078 + 120.343i 0.326299 + 0.327020i
\(369\) 418.229 440.775i 1.13341 1.19451i
\(370\) 44.3990 29.6488i 0.119997 0.0801318i
\(371\) 157.081 586.234i 0.423399 1.58015i
\(372\) 2.40999 + 191.739i 0.00647848 + 0.515428i
\(373\) 216.029 57.8849i 0.579167 0.155187i 0.0426697 0.999089i \(-0.486414\pi\)
0.536498 + 0.843902i \(0.319747\pi\)
\(374\) 62.5813 71.3206i 0.167330 0.190697i
\(375\) 310.514 244.805i 0.828037 0.652812i
\(376\) −25.0227 28.5806i −0.0665496 0.0760121i
\(377\) 267.054 0.708367
\(378\) −169.439 + 571.629i −0.448252 + 1.51225i
\(379\) −102.549 102.549i −0.270579 0.270579i 0.558754 0.829333i \(-0.311279\pi\)
−0.829333 + 0.558754i \(0.811279\pi\)
\(380\) −52.9404 403.844i −0.139317 1.06275i
\(381\) 77.2326 652.704i 0.202710 1.71313i
\(382\) 163.556 10.6747i 0.428157 0.0279443i
\(383\) −456.163 263.366i −1.19103 0.687639i −0.232487 0.972600i \(-0.574686\pi\)
−0.958539 + 0.284960i \(0.908020\pi\)
\(384\) 70.6960 377.436i 0.184104 0.982907i
\(385\) 271.098 + 469.556i 0.704151 + 1.21963i
\(386\) −184.944 + 123.502i −0.479131 + 0.319954i
\(387\) −292.650 + 539.073i −0.756203 + 1.39295i
\(388\) 7.15092 17.2369i 0.0184302 0.0444251i
\(389\) −23.7916 6.37495i −0.0611610 0.0163881i 0.228109 0.973636i \(-0.426746\pi\)
−0.289270 + 0.957248i \(0.593412\pi\)
\(390\) 13.7372 260.896i 0.0352236 0.668963i
\(391\) −30.9017 17.8411i −0.0790324 0.0456294i
\(392\) −552.117 187.928i −1.40846 0.479409i
\(393\) −11.4276 78.7983i −0.0290780 0.200505i
\(394\) 177.073 60.0536i 0.449423 0.152420i
\(395\) −53.8027 + 53.8027i −0.136209 + 0.136209i
\(396\) 79.3118 + 502.352i 0.200282 + 1.26857i
\(397\) −343.288 + 343.288i −0.864705 + 0.864705i −0.991880 0.127175i \(-0.959409\pi\)
0.127175 + 0.991880i \(0.459409\pi\)
\(398\) 295.012 597.810i 0.741237 1.50204i
\(399\) −901.191 359.507i −2.25862 0.901021i
\(400\) 53.2680 + 199.680i 0.133170 + 0.499200i
\(401\) −402.984 232.663i −1.00495 0.580207i −0.0952401 0.995454i \(-0.530362\pi\)
−0.909709 + 0.415247i \(0.863695\pi\)
\(402\) −110.755 36.0166i −0.275510 0.0895935i
\(403\) −193.342 51.8060i −0.479758 0.128551i
\(404\) −113.111 273.500i −0.279977 0.676981i
\(405\) −58.5078 + 275.422i −0.144464 + 0.680053i
\(406\) 91.9719 461.708i 0.226532 1.13721i
\(407\) −54.2428 93.9513i −0.133275 0.230838i
\(408\) 6.25957 + 80.3545i 0.0153421 + 0.196947i
\(409\) 183.980 + 106.221i 0.449828 + 0.259709i 0.707758 0.706455i \(-0.249707\pi\)
−0.257929 + 0.966164i \(0.583040\pi\)
\(410\) 352.805 + 309.574i 0.860500 + 0.755059i
\(411\) −0.762830 + 0.327765i −0.00185603 + 0.000797482i
\(412\) 88.6077 + 675.924i 0.215067 + 1.64059i
\(413\) 787.598 + 787.598i 1.90702 + 1.90702i
\(414\) 179.447 66.1577i 0.433448 0.159801i
\(415\) −361.576 −0.871268
\(416\) 359.256 + 177.782i 0.863596 + 0.427361i
\(417\) 76.2487 + 525.766i 0.182851 + 1.26083i
\(418\) −825.877 + 53.9020i −1.97578 + 0.128952i
\(419\) 758.247 203.172i 1.80966 0.484896i 0.814241 0.580527i \(-0.197153\pi\)
0.995417 + 0.0956302i \(0.0304866\pi\)
\(420\) −446.329 113.601i −1.06269 0.270479i
\(421\) −57.5845 + 214.908i −0.136780 + 0.510471i 0.863204 + 0.504855i \(0.168454\pi\)
−0.999984 + 0.00561574i \(0.998212\pi\)
\(422\) 108.900 546.687i 0.258056 1.29547i
\(423\) −40.9744 + 12.1399i −0.0968661 + 0.0286994i
\(424\) 365.440 + 244.617i 0.861886 + 0.576926i
\(425\) −21.6883 37.5652i −0.0510313 0.0883888i
\(426\) 17.3515 26.7046i 0.0407311 0.0626867i
\(427\) 923.727 247.512i 2.16329 0.579653i
\(428\) −527.126 69.6933i −1.23160 0.162835i
\(429\) −527.198 62.3818i −1.22890 0.145412i
\(430\) −424.904 209.685i −0.988150 0.487640i
\(431\) 761.451i 1.76671i 0.468707 + 0.883354i \(0.344720\pi\)
−0.468707 + 0.883354i \(0.655280\pi\)
\(432\) −352.536 249.684i −0.816057 0.577972i
\(433\) 151.227 0.349254 0.174627 0.984635i \(-0.444128\pi\)
0.174627 + 0.984635i \(0.444128\pi\)
\(434\) −156.153 + 316.427i −0.359799 + 0.729094i
\(435\) 26.1255 220.790i 0.0600585 0.507563i
\(436\) 360.149 + 47.6167i 0.826030 + 0.109213i
\(437\) 80.5548 + 300.635i 0.184336 + 0.687951i
\(438\) −132.812 86.2954i −0.303223 0.197021i
\(439\) −268.994 + 155.304i −0.612743 + 0.353768i −0.774038 0.633139i \(-0.781766\pi\)
0.161295 + 0.986906i \(0.448433\pi\)
\(440\) −385.376 + 76.3245i −0.875855 + 0.173465i
\(441\) −451.620 + 475.965i −1.02408 + 1.07929i
\(442\) −82.5110 16.4361i −0.186676 0.0371858i
\(443\) −121.665 32.6000i −0.274639 0.0735893i 0.118871 0.992910i \(-0.462073\pi\)
−0.393510 + 0.919320i \(0.628739\pi\)
\(444\) 89.3040 + 22.7299i 0.201135 + 0.0511935i
\(445\) 6.10571 + 22.7868i 0.0137207 + 0.0512063i
\(446\) −14.1825 217.302i −0.0317993 0.487224i
\(447\) −36.4626 + 5.28795i −0.0815718 + 0.0118299i
\(448\) 431.092 559.888i 0.962258 1.24975i
\(449\) 154.504i 0.344108i 0.985088 + 0.172054i \(0.0550403\pi\)
−0.985088 + 0.172054i \(0.944960\pi\)
\(450\) 229.129 + 39.4224i 0.509176 + 0.0876054i
\(451\) 674.411 674.411i 1.49537 1.49537i
\(452\) 23.8705 + 182.090i 0.0528108 + 0.402855i
\(453\) 275.987 + 642.323i 0.609242 + 1.41793i
\(454\) 239.317 272.737i 0.527130 0.600743i
\(455\) 240.378 416.346i 0.528302 0.915047i
\(456\) 457.001 534.216i 1.00220 1.17153i
\(457\) 10.7339 6.19724i 0.0234878 0.0135607i −0.488210 0.872726i \(-0.662350\pi\)
0.511698 + 0.859165i \(0.329017\pi\)
\(458\) 666.815 + 132.829i 1.45593 + 0.290020i
\(459\) 85.0711 + 31.3756i 0.185340 + 0.0683565i
\(460\) 56.4621 + 136.524i 0.122744 + 0.296792i
\(461\) −8.95394 + 33.4166i −0.0194229 + 0.0724871i −0.974957 0.222393i \(-0.928613\pi\)
0.955534 + 0.294880i \(0.0952798\pi\)
\(462\) −289.415 + 889.984i −0.626440 + 1.92637i
\(463\) 322.344 558.315i 0.696206 1.20586i −0.273566 0.961853i \(-0.588203\pi\)
0.969772 0.244011i \(-0.0784635\pi\)
\(464\) 295.225 + 170.883i 0.636262 + 0.368283i
\(465\) −61.7455 + 154.780i −0.132786 + 0.332860i
\(466\) 283.828 + 140.066i 0.609073 + 0.300570i
\(467\) −71.2968 71.2968i −0.152670 0.152670i 0.626639 0.779309i \(-0.284430\pi\)
−0.779309 + 0.626639i \(0.784430\pi\)
\(468\) 350.588 283.616i 0.749120 0.606016i
\(469\) −151.542 151.542i −0.323117 0.323117i
\(470\) −10.6026 31.2627i −0.0225588 0.0665164i
\(471\) −392.594 + 56.9356i −0.833534 + 0.120882i
\(472\) −724.120 + 356.351i −1.53415 + 0.754982i
\(473\) −481.409 + 833.825i −1.01778 + 1.76284i
\(474\) −131.151 6.90564i −0.276690 0.0145689i
\(475\) −97.9255 + 365.463i −0.206159 + 0.769396i
\(476\) −56.8326 + 136.992i −0.119396 + 0.287799i
\(477\) 421.805 258.518i 0.884288 0.541966i
\(478\) −364.646 546.057i −0.762857 1.14238i
\(479\) −308.977 + 178.388i −0.645045 + 0.372417i −0.786555 0.617520i \(-0.788138\pi\)
0.141510 + 0.989937i \(0.454804\pi\)
\(480\) 182.129 279.627i 0.379435 0.582556i
\(481\) −48.0960 + 83.3048i −0.0999918 + 0.173191i
\(482\) −12.2622 187.879i −0.0254403 0.389791i
\(483\) 349.501 + 41.3554i 0.723604 + 0.0856220i
\(484\) 40.8520 + 311.630i 0.0844049 + 0.643864i
\(485\) 11.4674 11.4674i 0.0236442 0.0236442i
\(486\) −420.919 + 242.948i −0.866088 + 0.499892i
\(487\) 305.891i 0.628113i 0.949404 + 0.314056i \(0.101688\pi\)
−0.949404 + 0.314056i \(0.898312\pi\)
\(488\) −45.8913 + 691.398i −0.0940396 + 1.41680i
\(489\) −176.791 224.244i −0.361536 0.458578i
\(490\) −380.972 334.290i −0.777494 0.682224i
\(491\) 205.011 + 765.113i 0.417539 + 1.55828i 0.779696 + 0.626158i \(0.215374\pi\)
−0.362157 + 0.932117i \(0.617960\pi\)
\(492\) 10.1821 + 810.092i 0.0206954 + 1.64653i
\(493\) −69.1571 18.5306i −0.140278 0.0375874i
\(494\) 407.535 + 610.284i 0.824971 + 1.23539i
\(495\) −103.150 + 429.764i −0.208383 + 0.868210i
\(496\) −180.588 180.987i −0.364089 0.364894i
\(497\) 50.7516 29.3015i 0.102116 0.0589567i
\(498\) −417.490 463.899i −0.838333 0.931523i
\(499\) 3.86910 + 14.4397i 0.00775371 + 0.0289372i 0.969694 0.244321i \(-0.0785652\pi\)
−0.961941 + 0.273259i \(0.911899\pi\)
\(500\) −69.1033 + 522.663i −0.138207 + 1.04533i
\(501\) −361.488 269.919i −0.721533 0.538760i
\(502\) 149.134 50.5782i 0.297079 0.100753i
\(503\) −160.331 −0.318750 −0.159375 0.987218i \(-0.550948\pi\)
−0.159375 + 0.987218i \(0.550948\pi\)
\(504\) −369.600 703.805i −0.733334 1.39644i
\(505\) 257.206i 0.509318i
\(506\) 284.302 96.4199i 0.561861 0.190553i
\(507\) −14.3235 33.3360i −0.0282515 0.0657516i
\(508\) 533.101 + 695.544i 1.04941 + 1.36918i
\(509\) −921.997 + 247.048i −1.81139 + 0.485360i −0.995659 0.0930723i \(-0.970331\pi\)
−0.815730 + 0.578433i \(0.803665\pi\)
\(510\) −21.6607 + 66.6090i −0.0424719 + 0.130606i
\(511\) −145.727 252.407i −0.285180 0.493947i
\(512\) 283.394 + 426.417i 0.553504 + 0.832846i
\(513\) −331.182 718.218i −0.645579 1.40004i
\(514\) 428.971 + 642.383i 0.834573 + 1.24977i
\(515\) −153.332 + 572.241i −0.297731 + 1.11115i
\(516\) −221.587 787.259i −0.429432 1.52570i
\(517\) −64.7942 + 17.3616i −0.125327 + 0.0335814i
\(518\) 127.461 + 111.843i 0.246064 + 0.215912i
\(519\) 472.223 + 188.381i 0.909870 + 0.362970i
\(520\) 229.461 + 262.088i 0.441272 + 0.504015i
\(521\) −259.401 −0.497890 −0.248945 0.968518i \(-0.580084\pi\)
−0.248945 + 0.968518i \(0.580084\pi\)
\(522\) 313.437 221.414i 0.600454 0.424165i
\(523\) −651.854 651.854i −1.24637 1.24637i −0.957310 0.289064i \(-0.906656\pi\)
−0.289064 0.957310i \(-0.593344\pi\)
\(524\) 84.1895 + 64.6747i 0.160667 + 0.123425i
\(525\) 342.808 + 255.971i 0.652968 + 0.487564i
\(526\) −28.4482 435.877i −0.0540839 0.828664i
\(527\) 46.4737 + 26.8316i 0.0881854 + 0.0509139i
\(528\) −542.894 406.306i −1.02821 0.769520i
\(529\) 208.052 + 360.357i 0.393293 + 0.681204i
\(530\) 212.230 + 317.814i 0.400434 + 0.599650i
\(531\) 23.8219 + 907.623i 0.0448623 + 1.70927i
\(532\) 1195.47 494.407i 2.24712 0.929336i
\(533\) −816.865 218.878i −1.53258 0.410654i
\(534\) −22.1854 + 34.1441i −0.0415456 + 0.0639403i
\(535\) −400.171 231.039i −0.747982 0.431848i
\(536\) 139.328 68.5657i 0.259940 0.127921i
\(537\) −655.547 + 516.824i −1.22076 + 0.962428i
\(538\) −163.794 482.960i −0.304451 0.897696i
\(539\) −728.254 + 728.254i −1.35112 + 1.35112i
\(540\) −200.185 317.598i −0.370713 0.588145i
\(541\) 116.855 116.855i 0.215998 0.215998i −0.590812 0.806810i \(-0.701192\pi\)
0.806810 + 0.590812i \(0.201192\pi\)
\(542\) 25.6598 + 12.6628i 0.0473428 + 0.0233631i
\(543\) 369.316 291.163i 0.680140 0.536213i
\(544\) −80.6978 70.9672i −0.148342 0.130454i
\(545\) 273.409 + 157.853i 0.501668 + 0.289638i
\(546\) 811.718 172.328i 1.48666 0.315618i
\(547\) −663.712 177.841i −1.21337 0.325121i −0.405286 0.914190i \(-0.632828\pi\)
−0.808083 + 0.589069i \(0.799495\pi\)
\(548\) 0.424202 1.02252i 0.000774092 0.00186591i
\(549\) 685.090 + 371.920i 1.24789 + 0.677450i
\(550\) 357.911 + 71.2956i 0.650748 + 0.129628i
\(551\) 312.253 + 540.838i 0.566702 + 0.981557i
\(552\) −109.966 + 230.077i −0.199214 + 0.416806i
\(553\) −209.295 120.837i −0.378472 0.218511i
\(554\) 89.8870 102.439i 0.162251 0.184909i
\(555\) 64.1680 + 47.9135i 0.115618 + 0.0863306i
\(556\) −561.738 431.529i −1.01032 0.776132i
\(557\) −639.199 639.199i −1.14757 1.14757i −0.987028 0.160546i \(-0.948674\pi\)
−0.160546 0.987028i \(-0.551326\pi\)
\(558\) −269.875 + 99.4961i −0.483647 + 0.178308i
\(559\) 853.712 1.52721
\(560\) 532.147 306.453i 0.950262 0.547237i
\(561\) 132.196 + 52.7362i 0.235643 + 0.0940038i
\(562\) 37.2079 + 570.093i 0.0662062 + 1.01440i
\(563\) −212.919 + 57.0515i −0.378187 + 0.101335i −0.442904 0.896569i \(-0.646052\pi\)
0.0647179 + 0.997904i \(0.479385\pi\)
\(564\) 27.8675 49.7002i 0.0494105 0.0881209i
\(565\) −41.3067 + 154.159i −0.0731093 + 0.272847i
\(566\) 559.202 + 111.393i 0.987990 + 0.196807i
\(567\) −893.087 + 46.9131i −1.57511 + 0.0827391i
\(568\) 8.24948 + 41.6531i 0.0145237 + 0.0733329i
\(569\) −398.057 689.456i −0.699574 1.21170i −0.968614 0.248568i \(-0.920040\pi\)
0.269041 0.963129i \(-0.413293\pi\)
\(570\) 544.428 277.231i 0.955136 0.486371i
\(571\) 241.207 64.6311i 0.422429 0.113189i −0.0413414 0.999145i \(-0.513163\pi\)
0.463770 + 0.885956i \(0.346496\pi\)
\(572\) 561.800 430.592i 0.982168 0.752783i
\(573\) 97.0569 + 225.887i 0.169384 + 0.394219i
\(574\) −659.741 + 1336.89i −1.14937 + 2.32908i
\(575\) 137.240i 0.238679i
\(576\) 569.051 89.1988i 0.987937 0.154859i
\(577\) −116.279 −0.201523 −0.100762 0.994911i \(-0.532128\pi\)
−0.100762 + 0.994911i \(0.532128\pi\)
\(578\) −498.095 245.804i −0.861756 0.425267i
\(579\) −267.292 199.584i −0.461644 0.344704i
\(580\) 180.332 + 235.282i 0.310917 + 0.405658i
\(581\) −297.239 1109.31i −0.511599 1.90931i
\(582\) 27.9534 + 1.47186i 0.0480298 + 0.00252897i
\(583\) 672.516 388.277i 1.15354 0.665999i
\(584\) 207.157 41.0278i 0.354720 0.0702531i
\(585\) 375.741 111.324i 0.642292 0.190298i
\(586\) 111.802 561.256i 0.190788 0.957775i
\(587\) 43.3540 + 11.6167i 0.0738568 + 0.0197899i 0.295558 0.955325i \(-0.404494\pi\)
−0.221701 + 0.975115i \(0.571161\pi\)
\(588\) −10.9951 874.768i −0.0186991 1.48770i
\(589\) −121.148 452.131i −0.205685 0.767625i
\(590\) −699.869 + 45.6779i −1.18622 + 0.0774202i
\(591\) 173.643 + 220.252i 0.293812 + 0.372676i
\(592\) −106.475 + 61.3167i −0.179856 + 0.103576i
\(593\) 440.854i 0.743430i −0.928347 0.371715i \(-0.878770\pi\)
0.928347 0.371715i \(-0.121230\pi\)
\(594\) −670.483 + 363.882i −1.12876 + 0.612596i
\(595\) −91.1385 + 91.1385i −0.153174 + 0.153174i
\(596\) 29.9272 38.9573i 0.0502133 0.0653646i
\(597\) 993.033 + 117.503i 1.66337 + 0.196822i
\(598\) −200.082 175.565i −0.334585 0.293587i
\(599\) 346.628 600.377i 0.578678 1.00230i −0.416954 0.908928i \(-0.636902\pi\)
0.995631 0.0933715i \(-0.0297644\pi\)
\(600\) −255.615 + 175.379i −0.426024 + 0.292299i
\(601\) 711.840 410.981i 1.18443 0.683829i 0.227392 0.973803i \(-0.426980\pi\)
0.957034 + 0.289974i \(0.0936468\pi\)
\(602\) 294.013 1475.98i 0.488394 2.45179i
\(603\) −4.58357 174.636i −0.00760128 0.289612i
\(604\) −860.988 357.190i −1.42548 0.591373i
\(605\) −70.6924 + 263.828i −0.116847 + 0.436079i
\(606\) 329.992 296.980i 0.544542 0.490066i
\(607\) 527.166 913.078i 0.868477 1.50425i 0.00492519 0.999988i \(-0.498432\pi\)
0.863552 0.504259i \(-0.168234\pi\)
\(608\) 60.0160 + 935.437i 0.0987105 + 1.53855i
\(609\) 698.858 101.351i 1.14755 0.166422i
\(610\) −266.482 + 539.997i −0.436856 + 0.885241i
\(611\) 42.0576 + 42.0576i 0.0688341 + 0.0688341i
\(612\) −110.469 + 49.1189i −0.180505 + 0.0802597i
\(613\) −78.3862 78.3862i −0.127873 0.127873i 0.640274 0.768147i \(-0.278821\pi\)
−0.768147 + 0.640274i \(0.778821\pi\)
\(614\) −264.700 + 89.7720i −0.431107 + 0.146209i
\(615\) −260.873 + 653.940i −0.424183 + 1.06332i
\(616\) −550.967 1119.59i −0.894427 1.81751i
\(617\) 379.227 656.840i 0.614630 1.06457i −0.375819 0.926693i \(-0.622639\pi\)
0.990449 0.137878i \(-0.0440281\pi\)
\(618\) −911.223 + 464.009i −1.47447 + 0.750824i
\(619\) 93.7456 349.863i 0.151447 0.565207i −0.847937 0.530098i \(-0.822155\pi\)
0.999383 0.0351097i \(-0.0111781\pi\)
\(620\) −84.9146 205.322i −0.136959 0.331165i
\(621\) 183.463 + 220.550i 0.295432 + 0.355153i
\(622\) −9.58751 + 6.40234i −0.0154140 + 0.0102932i
\(623\) −64.8904 + 37.4645i −0.104158 + 0.0601356i
\(624\) −71.3111 + 597.014i −0.114281 + 0.956753i
\(625\) −67.6271 + 117.134i −0.108203 + 0.187414i
\(626\) 59.3807 3.87556i 0.0948573 0.00619099i
\(627\) −490.090 1140.62i −0.781643 1.81917i
\(628\) 322.227 419.455i 0.513100 0.667922i
\(629\) 18.2355 18.2355i 0.0289912 0.0289912i
\(630\) −63.0648 687.955i −0.100103 1.09199i
\(631\) 887.948i 1.40721i 0.710592 + 0.703604i \(0.248427\pi\)
−0.710592 + 0.703604i \(0.751573\pi\)
\(632\) 131.750 115.349i 0.208466 0.182515i
\(633\) 827.485 120.005i 1.30724 0.189582i
\(634\) −528.666 + 602.493i −0.833859 + 0.950304i
\(635\) 197.110 + 735.624i 0.310409 + 1.15846i
\(636\) −162.704 + 639.250i −0.255824 + 1.00511i
\(637\) 882.082 + 236.353i 1.38474 + 0.371041i
\(638\) 500.944 334.520i 0.785178 0.524326i
\(639\) 46.4507 + 11.1489i 0.0726928 + 0.0174473i
\(640\) 85.9617 + 436.563i 0.134315 + 0.682130i
\(641\) −911.347 + 526.167i −1.42176 + 0.820853i −0.996449 0.0841954i \(-0.973168\pi\)
−0.425309 + 0.905048i \(0.639835\pi\)
\(642\) −165.632 780.181i −0.257994 1.21524i
\(643\) 118.590 + 442.584i 0.184433 + 0.688312i 0.994751 + 0.102322i \(0.0326273\pi\)
−0.810319 + 0.585989i \(0.800706\pi\)
\(644\) −372.440 + 285.457i −0.578323 + 0.443256i
\(645\) 83.5172 705.816i 0.129484 1.09429i
\(646\) −63.1895 186.319i −0.0978166 0.288420i
\(647\) −371.875 −0.574768 −0.287384 0.957816i \(-0.592786\pi\)
−0.287384 + 0.957816i \(0.592786\pi\)
\(648\) 176.334 623.547i 0.272121 0.962263i
\(649\) 1425.16i 2.19594i
\(650\) −103.929 306.444i −0.159891 0.471452i
\(651\) −525.622 62.1953i −0.807407 0.0955382i
\(652\) 377.453 + 49.9045i 0.578916 + 0.0765407i
\(653\) 114.239 30.6102i 0.174945 0.0468763i −0.170283 0.985395i \(-0.554468\pi\)
0.345228 + 0.938519i \(0.387802\pi\)
\(654\) 113.165 + 533.045i 0.173036 + 0.815053i
\(655\) 46.1299 + 79.8993i 0.0704273 + 0.121984i
\(656\) −762.979 764.665i −1.16308 1.16565i
\(657\) 55.4475 231.017i 0.0843949 0.351624i
\(658\) 87.1975 58.2287i 0.132519 0.0884935i
\(659\) −231.588 + 864.298i −0.351423 + 1.31153i 0.533503 + 0.845798i \(0.320875\pi\)
−0.884926 + 0.465731i \(0.845791\pi\)
\(660\) −301.037 506.599i −0.456116 0.767574i
\(661\) −618.804 + 165.808i −0.936163 + 0.250844i −0.694481 0.719511i \(-0.744366\pi\)
−0.241682 + 0.970355i \(0.577699\pi\)
\(662\) −538.364 + 613.545i −0.813238 + 0.926805i
\(663\) −18.1123 124.892i −0.0273187 0.188374i
\(664\) 830.305 + 55.1113i 1.25046 + 0.0829989i
\(665\) 1124.25 1.69059
\(666\) 12.6183 + 137.650i 0.0189464 + 0.206681i
\(667\) −160.178 160.178i −0.240148 0.240148i
\(668\) 596.421 78.1855i 0.892845 0.117044i
\(669\) 300.116 128.951i 0.448604 0.192751i
\(670\) 134.662 8.78890i 0.200988 0.0131178i
\(671\) 1059.68 + 611.807i 1.57926 + 0.911784i
\(672\) 1007.61 + 328.897i 1.49943 + 0.489430i
\(673\) −502.262 869.942i −0.746302 1.29263i −0.949584 0.313513i \(-0.898494\pi\)
0.203281 0.979120i \(-0.434839\pi\)
\(674\) −9.21209 + 6.15165i −0.0136678 + 0.00912707i
\(675\) 59.0908 + 343.701i 0.0875420 + 0.509187i
\(676\) 44.6846 + 18.5379i 0.0661014 + 0.0274229i
\(677\) 290.062 + 77.7219i 0.428452 + 0.114803i 0.466599 0.884469i \(-0.345479\pi\)
−0.0381474 + 0.999272i \(0.512146\pi\)
\(678\) −245.479 + 125.002i −0.362063 + 0.184368i
\(679\) 44.6089 + 25.7550i 0.0656980 + 0.0379308i
\(680\) −41.2359 83.7930i −0.0606411 0.123225i
\(681\) 505.530 + 201.668i 0.742335 + 0.296136i
\(682\) −427.568 + 145.008i −0.626932 + 0.212622i
\(683\) 473.147 473.147i 0.692748 0.692748i −0.270088 0.962836i \(-0.587053\pi\)
0.962836 + 0.270088i \(0.0870528\pi\)
\(684\) 984.303 + 378.393i 1.43904 + 0.553207i
\(685\) 0.680264 0.680264i 0.000993087 0.000993087i
\(686\) 233.582 473.328i 0.340499 0.689983i
\(687\) 146.375 + 1009.32i 0.213064 + 1.46916i
\(688\) 943.769 + 546.275i 1.37176 + 0.794004i
\(689\) −596.307 344.278i −0.865467 0.499678i
\(690\) −164.724 + 148.245i −0.238730 + 0.214848i
\(691\) −431.890 115.725i −0.625021 0.167474i −0.0676119 0.997712i \(-0.521538\pi\)
−0.557409 + 0.830238i \(0.688205\pi\)
\(692\) −626.424 + 259.068i −0.905237 + 0.374376i
\(693\) −1403.31 + 36.8318i −2.02497 + 0.0531484i
\(694\) −38.0907 + 191.219i −0.0548857 + 0.275532i
\(695\) −307.793 533.113i −0.442867 0.767069i
\(696\) −93.6459 + 503.029i −0.134549 + 0.722743i
\(697\) 196.350 + 113.363i 0.281707 + 0.162644i
\(698\) 791.814 + 694.789i 1.13440 + 0.995400i
\(699\) −55.7879 + 471.471i −0.0798110 + 0.674494i
\(700\) −565.601 + 74.1454i −0.808002 + 0.105922i
\(701\) 232.018 + 232.018i 0.330981 + 0.330981i 0.852959 0.521978i \(-0.174806\pi\)
−0.521978 + 0.852959i \(0.674806\pi\)
\(702\) 576.673 + 353.533i 0.821471 + 0.503608i
\(703\) −224.945 −0.319979
\(704\) 896.592 116.529i 1.27357 0.165524i
\(705\) 38.8860 30.6572i 0.0551575 0.0434854i
\(706\) −370.874 + 24.2056i −0.525317 + 0.0342855i
\(707\) 789.104 211.440i 1.11613 0.299066i
\(708\) −866.700 845.184i −1.22415 1.19376i
\(709\) 328.250 1225.04i 0.462976 1.72785i −0.200540 0.979686i \(-0.564270\pi\)
0.663515 0.748163i \(-0.269064\pi\)
\(710\) −7.20903 + 36.1901i −0.0101536 + 0.0509719i
\(711\) −55.9622 188.883i −0.0787091 0.265658i
\(712\) −10.5477 53.2571i −0.0148142 0.0747993i
\(713\) 84.8932 + 147.039i 0.119065 + 0.206226i
\(714\) −222.162 11.6977i −0.311151 0.0163834i
\(715\) 594.172 159.208i 0.831010 0.222669i
\(716\) 145.889 1103.43i 0.203755 1.54110i
\(717\) 589.280 789.192i 0.821869 1.10069i
\(718\) −186.273 91.9236i −0.259433 0.128027i
\(719\) 780.133i 1.08503i 0.840048 + 0.542513i \(0.182527\pi\)
−0.840048 + 0.542513i \(0.817473\pi\)
\(720\) 486.611 + 117.362i 0.675849 + 0.163003i
\(721\) −1881.68 −2.60982
\(722\) −439.926 + 891.461i −0.609315 + 1.23471i
\(723\) 259.480 111.491i 0.358894 0.154206i
\(724\) −82.1895 + 621.641i −0.113521 + 0.858620i
\(725\) −71.2721 265.991i −0.0983063 0.366884i
\(726\) −420.113 + 213.928i −0.578668 + 0.294667i
\(727\) 942.045 543.890i 1.29580 0.748129i 0.316123 0.948718i \(-0.397619\pi\)
0.979675 + 0.200589i \(0.0642856\pi\)
\(728\) −615.450 + 919.438i −0.845399 + 1.26296i
\(729\) −554.422 473.347i −0.760524 0.649310i
\(730\) 179.987 + 35.8532i 0.246557 + 0.0491140i
\(731\) −221.079 59.2381i −0.302434 0.0810370i
\(732\) −1000.50 + 281.608i −1.36681 + 0.384710i
\(733\) −19.9096 74.3036i −0.0271618 0.101369i 0.951014 0.309147i \(-0.100044\pi\)
−0.978176 + 0.207778i \(0.933377\pi\)
\(734\) −10.3014 157.836i −0.0140346 0.215035i
\(735\) 281.700 706.149i 0.383265 0.960747i
\(736\) −108.848 322.114i −0.147891 0.437655i
\(737\) 274.216i 0.372070i
\(738\) −1140.21 + 420.368i −1.54500 + 0.569604i
\(739\) −409.210 + 409.210i −0.553734 + 0.553734i −0.927516 0.373782i \(-0.878061\pi\)
0.373782 + 0.927516i \(0.378061\pi\)
\(740\) −105.871 + 13.8788i −0.143069 + 0.0187551i
\(741\) −658.592 + 882.017i −0.888788 + 1.19031i
\(742\) −800.584 + 912.383i −1.07895 + 1.22963i
\(743\) −314.527 + 544.778i −0.423321 + 0.733213i −0.996262 0.0863832i \(-0.972469\pi\)
0.572941 + 0.819597i \(0.305802\pi\)
\(744\) 165.381 346.018i 0.222286 0.465078i
\(745\) 36.9721 21.3459i 0.0496270 0.0286522i
\(746\) −438.681 87.3850i −0.588045 0.117138i
\(747\) 446.642 822.731i 0.597914 1.10138i
\(748\) −175.363 + 72.5246i −0.234443 + 0.0969580i
\(749\) 379.857 1417.65i 0.507153 1.89272i
\(750\) −773.576 + 164.230i −1.03144 + 0.218974i
\(751\) −342.403 + 593.059i −0.455929 + 0.789693i −0.998741 0.0501615i \(-0.984026\pi\)
0.542812 + 0.839854i \(0.317360\pi\)
\(752\) 19.5823 + 73.4061i 0.0260403 + 0.0976145i
\(753\) 146.245 + 185.500i 0.194217 + 0.246348i
\(754\) −478.962 236.362i −0.635228 0.313478i
\(755\) −572.800 572.800i −0.758676 0.758676i
\(756\) 809.823 875.251i 1.07119 1.15774i
\(757\) 284.601 + 284.601i 0.375959 + 0.375959i 0.869642 0.493683i \(-0.164350\pi\)
−0.493683 + 0.869642i \(0.664350\pi\)
\(758\) 93.1589 + 274.686i 0.122901 + 0.362383i
\(759\) 278.795 + 353.628i 0.367319 + 0.465913i
\(760\) −262.483 + 771.151i −0.345372 + 1.01467i
\(761\) 38.3592 66.4400i 0.0504063 0.0873062i −0.839721 0.543018i \(-0.817282\pi\)
0.890128 + 0.455711i \(0.150615\pi\)
\(762\) −716.207 + 1102.27i −0.939905 + 1.44655i
\(763\) −259.531 + 968.582i −0.340145 + 1.26944i
\(764\) −302.786 125.614i −0.396316 0.164416i
\(765\) −105.027 + 2.75660i −0.137291 + 0.00360340i
\(766\) 585.031 + 876.084i 0.763748 + 1.14371i
\(767\) 1094.37 631.832i 1.42681 0.823771i
\(768\) −460.852 + 614.361i −0.600067 + 0.799949i
\(769\) 238.105 412.411i 0.309630 0.536295i −0.668651 0.743576i \(-0.733128\pi\)
0.978281 + 0.207281i \(0.0664615\pi\)
\(770\) −70.6242 1082.09i −0.0917197 1.40531i
\(771\) −693.232 + 928.408i −0.899133 + 1.20416i
\(772\) 441.006 57.8121i 0.571252 0.0748861i
\(773\) −285.189 + 285.189i −0.368938 + 0.368938i −0.867090