Properties

Label 144.3.w.a.5.13
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 5.13
Character \(\chi\) \(=\) 144.5
Dual form 144.3.w.a.29.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.26432 + 1.54968i) q^{2} +(-2.98386 - 0.310733i) q^{3} +(-0.803013 - 3.91857i) q^{4} +(2.23236 + 8.33129i) q^{5} +(4.25408 - 4.23117i) q^{6} +(-3.69610 + 2.13394i) q^{7} +(7.08778 + 3.70989i) q^{8} +(8.80689 + 1.85437i) q^{9} +O(q^{10})\) \(q+(-1.26432 + 1.54968i) q^{2} +(-2.98386 - 0.310733i) q^{3} +(-0.803013 - 3.91857i) q^{4} +(2.23236 + 8.33129i) q^{5} +(4.25408 - 4.23117i) q^{6} +(-3.69610 + 2.13394i) q^{7} +(7.08778 + 3.70989i) q^{8} +(8.80689 + 1.85437i) q^{9} +(-15.7332 - 7.07393i) q^{10} +(-15.6229 - 4.18615i) q^{11} +(1.17845 + 11.9420i) q^{12} +(-5.18329 - 19.3443i) q^{13} +(1.36611 - 8.42575i) q^{14} +(-4.07226 - 25.5531i) q^{15} +(-14.7103 + 6.29332i) q^{16} -10.6727i q^{17} +(-14.0084 + 11.3033i) q^{18} +(-12.2363 + 12.2363i) q^{19} +(30.8541 - 15.4378i) q^{20} +(11.6917 - 5.21890i) q^{21} +(26.2395 - 18.9179i) q^{22} +(9.25997 - 16.0387i) q^{23} +(-19.9962 - 13.2722i) q^{24} +(-42.7763 + 24.6969i) q^{25} +(36.5308 + 16.4249i) q^{26} +(-25.7023 - 8.26978i) q^{27} +(11.3300 + 12.7698i) q^{28} +(-6.80700 + 25.4041i) q^{29} +(44.7477 + 25.9965i) q^{30} +(6.33170 - 10.9668i) q^{31} +(8.84588 - 30.7531i) q^{32} +(45.3159 + 17.3455i) q^{33} +(16.5392 + 13.4936i) q^{34} +(-26.0295 - 26.0295i) q^{35} +(0.194430 - 35.9995i) q^{36} +(-18.0450 - 18.0450i) q^{37} +(-3.49179 - 34.4328i) q^{38} +(9.45532 + 59.3314i) q^{39} +(-15.0857 + 67.3322i) q^{40} +(-7.43075 + 12.8704i) q^{41} +(-6.69444 + 24.7168i) q^{42} +(4.70515 - 17.5598i) q^{43} +(-3.85830 + 64.5810i) q^{44} +(4.21087 + 77.5124i) q^{45} +(13.1474 + 34.6280i) q^{46} +(-16.1577 + 9.32866i) q^{47} +(45.8492 - 14.2074i) q^{48} +(-15.3926 + 26.6607i) q^{49} +(15.8105 - 97.5143i) q^{50} +(-3.31635 + 31.8458i) q^{51} +(-71.6397 + 35.8448i) q^{52} +(-38.0269 + 38.0269i) q^{53} +(45.3114 - 29.3748i) q^{54} -139.504i q^{55} +(-34.1139 + 1.41280i) q^{56} +(40.3136 - 32.7091i) q^{57} +(-30.7620 - 42.6674i) q^{58} +(16.9990 + 63.4412i) q^{59} +(-96.8615 + 36.4769i) q^{60} +(-11.9218 - 3.19445i) q^{61} +(8.98980 + 23.6776i) q^{62} +(-36.5083 + 11.9395i) q^{63} +(36.4734 + 52.5898i) q^{64} +(149.592 - 86.3670i) q^{65} +(-84.1735 + 48.2950i) q^{66} +(8.10824 + 30.2604i) q^{67} +(-41.8216 + 8.57029i) q^{68} +(-32.6143 + 44.9801i) q^{69} +(73.2470 - 7.42790i) q^{70} +38.1082 q^{71} +(55.5418 + 45.8160i) q^{72} -127.821i q^{73} +(50.7786 - 5.14939i) q^{74} +(135.313 - 60.4002i) q^{75} +(57.7745 + 38.1227i) q^{76} +(66.6769 - 17.8660i) q^{77} +(-103.899 - 60.3609i) q^{78} +(7.54888 + 13.0750i) q^{79} +(-85.2703 - 108.507i) q^{80} +(74.1226 + 32.6625i) q^{81} +(-10.5502 - 27.7876i) q^{82} +(-29.3816 + 109.654i) q^{83} +(-29.8392 - 41.6241i) q^{84} +(88.9171 - 23.8253i) q^{85} +(21.2633 + 29.4927i) q^{86} +(28.2050 - 73.6871i) q^{87} +(-95.2018 - 87.6299i) q^{88} -102.393 q^{89} +(-125.443 - 91.4746i) q^{90} +(60.4377 + 60.4377i) q^{91} +(-70.2848 - 23.4065i) q^{92} +(-22.3007 + 30.7561i) q^{93} +(5.97202 - 36.8337i) q^{94} +(-129.260 - 74.6281i) q^{95} +(-35.9509 + 89.0142i) q^{96} +(40.9773 + 70.9747i) q^{97} +(-21.8545 - 57.5611i) q^{98} +(-129.827 - 65.8377i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.26432 + 1.54968i −0.632158 + 0.774840i
\(3\) −2.98386 0.310733i −0.994621 0.103578i
\(4\) −0.803013 3.91857i −0.200753 0.979642i
\(5\) 2.23236 + 8.33129i 0.446472 + 1.66626i 0.712019 + 0.702160i \(0.247781\pi\)
−0.265547 + 0.964098i \(0.585552\pi\)
\(6\) 4.25408 4.23117i 0.709014 0.705195i
\(7\) −3.69610 + 2.13394i −0.528014 + 0.304849i −0.740208 0.672378i \(-0.765273\pi\)
0.212193 + 0.977228i \(0.431939\pi\)
\(8\) 7.08778 + 3.70989i 0.885973 + 0.463737i
\(9\) 8.80689 + 1.85437i 0.978543 + 0.206041i
\(10\) −15.7332 7.07393i −1.57332 0.707393i
\(11\) −15.6229 4.18615i −1.42027 0.380559i −0.534688 0.845050i \(-0.679571\pi\)
−0.885578 + 0.464491i \(0.846237\pi\)
\(12\) 1.17845 + 11.9420i 0.0982044 + 0.995166i
\(13\) −5.18329 19.3443i −0.398715 1.48802i −0.815360 0.578954i \(-0.803461\pi\)
0.416645 0.909069i \(-0.363206\pi\)
\(14\) 1.36611 8.42575i 0.0975791 0.601839i
\(15\) −4.07226 25.5531i −0.271484 1.70354i
\(16\) −14.7103 + 6.29332i −0.919396 + 0.393332i
\(17\) 10.6727i 0.627804i −0.949455 0.313902i \(-0.898364\pi\)
0.949455 0.313902i \(-0.101636\pi\)
\(18\) −14.0084 + 11.3033i −0.778243 + 0.627964i
\(19\) −12.2363 + 12.2363i −0.644014 + 0.644014i −0.951540 0.307526i \(-0.900499\pi\)
0.307526 + 0.951540i \(0.400499\pi\)
\(20\) 30.8541 15.4378i 1.54271 0.771890i
\(21\) 11.6917 5.21890i 0.556750 0.248519i
\(22\) 26.2395 18.9179i 1.19270 0.859905i
\(23\) 9.25997 16.0387i 0.402608 0.697337i −0.591432 0.806355i \(-0.701437\pi\)
0.994040 + 0.109018i \(0.0347706\pi\)
\(24\) −19.9962 13.2722i −0.833175 0.553009i
\(25\) −42.7763 + 24.6969i −1.71105 + 0.987877i
\(26\) 36.5308 + 16.4249i 1.40503 + 0.631726i
\(27\) −25.7023 8.26978i −0.951939 0.306288i
\(28\) 11.3300 + 12.7698i 0.404644 + 0.456066i
\(29\) −6.80700 + 25.4041i −0.234724 + 0.876002i 0.743549 + 0.668681i \(0.233141\pi\)
−0.978273 + 0.207321i \(0.933526\pi\)
\(30\) 44.7477 + 25.9965i 1.49159 + 0.866550i
\(31\) 6.33170 10.9668i 0.204248 0.353769i −0.745645 0.666344i \(-0.767858\pi\)
0.949893 + 0.312575i \(0.101192\pi\)
\(32\) 8.84588 30.7531i 0.276434 0.961033i
\(33\) 45.3159 + 17.3455i 1.37321 + 0.525620i
\(34\) 16.5392 + 13.4936i 0.486447 + 0.396871i
\(35\) −26.0295 26.0295i −0.743701 0.743701i
\(36\) 0.194430 35.9995i 0.00540085 0.999985i
\(37\) −18.0450 18.0450i −0.487703 0.487703i 0.419878 0.907581i \(-0.362073\pi\)
−0.907581 + 0.419878i \(0.862073\pi\)
\(38\) −3.49179 34.4328i −0.0918892 0.906126i
\(39\) 9.45532 + 59.3314i 0.242444 + 1.52132i
\(40\) −15.0857 + 67.3322i −0.377142 + 1.68331i
\(41\) −7.43075 + 12.8704i −0.181238 + 0.313913i −0.942302 0.334763i \(-0.891344\pi\)
0.761065 + 0.648676i \(0.224677\pi\)
\(42\) −6.69444 + 24.7168i −0.159391 + 0.588495i
\(43\) 4.70515 17.5598i 0.109422 0.408369i −0.889387 0.457155i \(-0.848869\pi\)
0.998809 + 0.0487861i \(0.0155353\pi\)
\(44\) −3.85830 + 64.5810i −0.0876887 + 1.46775i
\(45\) 4.21087 + 77.5124i 0.0935749 + 1.72250i
\(46\) 13.1474 + 34.6280i 0.285813 + 0.752783i
\(47\) −16.1577 + 9.32866i −0.343781 + 0.198482i −0.661943 0.749554i \(-0.730268\pi\)
0.318162 + 0.948036i \(0.396935\pi\)
\(48\) 45.8492 14.2074i 0.955192 0.295988i
\(49\) −15.3926 + 26.6607i −0.314134 + 0.544096i
\(50\) 15.8105 97.5143i 0.316209 1.95029i
\(51\) −3.31635 + 31.8458i −0.0650265 + 0.624427i
\(52\) −71.6397 + 35.8448i −1.37769 + 0.689323i
\(53\) −38.0269 + 38.0269i −0.717489 + 0.717489i −0.968090 0.250602i \(-0.919372\pi\)
0.250602 + 0.968090i \(0.419372\pi\)
\(54\) 45.3114 29.3748i 0.839100 0.543978i
\(55\) 139.504i 2.53644i
\(56\) −34.1139 + 1.41280i −0.609176 + 0.0252286i
\(57\) 40.3136 32.7091i 0.707255 0.573844i
\(58\) −30.7620 42.6674i −0.530378 0.735645i
\(59\) 16.9990 + 63.4412i 0.288119 + 1.07527i 0.946530 + 0.322616i \(0.104562\pi\)
−0.658411 + 0.752658i \(0.728771\pi\)
\(60\) −96.8615 + 36.4769i −1.61436 + 0.607948i
\(61\) −11.9218 3.19445i −0.195440 0.0523680i 0.159771 0.987154i \(-0.448924\pi\)
−0.355211 + 0.934786i \(0.615591\pi\)
\(62\) 8.98980 + 23.6776i 0.144997 + 0.381897i
\(63\) −36.5083 + 11.9395i −0.579496 + 0.189516i
\(64\) 36.4734 + 52.5898i 0.569897 + 0.821716i
\(65\) 149.592 86.3670i 2.30142 1.32872i
\(66\) −84.1735 + 48.2950i −1.27536 + 0.731742i
\(67\) 8.10824 + 30.2604i 0.121019 + 0.451647i 0.999667 0.0258228i \(-0.00822056\pi\)
−0.878648 + 0.477470i \(0.841554\pi\)
\(68\) −41.8216 + 8.57029i −0.615023 + 0.126034i
\(69\) −32.6143 + 44.9801i −0.472671 + 0.651885i
\(70\) 73.2470 7.42790i 1.04639 0.106113i
\(71\) 38.1082 0.536735 0.268367 0.963317i \(-0.413516\pi\)
0.268367 + 0.963317i \(0.413516\pi\)
\(72\) 55.5418 + 45.8160i 0.771414 + 0.636333i
\(73\) 127.821i 1.75098i −0.483240 0.875488i \(-0.660540\pi\)
0.483240 0.875488i \(-0.339460\pi\)
\(74\) 50.7786 5.14939i 0.686197 0.0695864i
\(75\) 135.313 60.4002i 1.80417 0.805336i
\(76\) 57.7745 + 38.1227i 0.760191 + 0.501615i
\(77\) 66.6769 17.8660i 0.865934 0.232026i
\(78\) −103.899 60.3609i −1.33204 0.773858i
\(79\) 7.54888 + 13.0750i 0.0955554 + 0.165507i 0.909840 0.414959i \(-0.136204\pi\)
−0.814285 + 0.580465i \(0.802871\pi\)
\(80\) −85.2703 108.507i −1.06588 1.35634i
\(81\) 74.1226 + 32.6625i 0.915094 + 0.403240i
\(82\) −10.5502 27.7876i −0.128661 0.338873i
\(83\) −29.3816 + 109.654i −0.353996 + 1.32113i 0.527748 + 0.849401i \(0.323037\pi\)
−0.881744 + 0.471729i \(0.843630\pi\)
\(84\) −29.8392 41.6241i −0.355229 0.495525i
\(85\) 88.9171 23.8253i 1.04608 0.280297i
\(86\) 21.2633 + 29.4927i 0.247248 + 0.342938i
\(87\) 28.2050 73.6871i 0.324196 0.846978i
\(88\) −95.2018 87.6299i −1.08184 0.995794i
\(89\) −102.393 −1.15049 −0.575243 0.817983i \(-0.695092\pi\)
−0.575243 + 0.817983i \(0.695092\pi\)
\(90\) −125.443 91.4746i −1.39381 1.01638i
\(91\) 60.4377 + 60.4377i 0.664150 + 0.664150i
\(92\) −70.2848 23.4065i −0.763965 0.254419i
\(93\) −22.3007 + 30.7561i −0.239792 + 0.330710i
\(94\) 5.97202 36.8337i 0.0635321 0.391847i
\(95\) −129.260 74.6281i −1.36063 0.785559i
\(96\) −35.9509 + 89.0142i −0.374489 + 0.927232i
\(97\) 40.9773 + 70.9747i 0.422446 + 0.731698i 0.996178 0.0873452i \(-0.0278383\pi\)
−0.573732 + 0.819043i \(0.694505\pi\)
\(98\) −21.8545 57.5611i −0.223005 0.587358i
\(99\) −129.827 65.8377i −1.31138 0.665027i
\(100\) 131.126 + 147.790i 1.31126 + 1.47790i
\(101\) −95.5779 25.6100i −0.946316 0.253565i −0.247518 0.968883i \(-0.579615\pi\)
−0.698798 + 0.715319i \(0.746282\pi\)
\(102\) −45.1579 45.4024i −0.442724 0.445122i
\(103\) −171.623 99.0866i −1.66624 0.962006i −0.969636 0.244554i \(-0.921359\pi\)
−0.696608 0.717452i \(-0.745308\pi\)
\(104\) 35.0273 156.338i 0.336801 1.50325i
\(105\) 69.5804 + 85.7569i 0.662670 + 0.816732i
\(106\) −10.8515 107.007i −0.102373 1.00950i
\(107\) −49.9526 + 49.9526i −0.466846 + 0.466846i −0.900891 0.434045i \(-0.857086\pi\)
0.434045 + 0.900891i \(0.357086\pi\)
\(108\) −11.7664 + 107.357i −0.108948 + 0.994047i
\(109\) −85.4760 + 85.4760i −0.784184 + 0.784184i −0.980534 0.196350i \(-0.937091\pi\)
0.196350 + 0.980534i \(0.437091\pi\)
\(110\) 216.187 + 176.377i 1.96533 + 1.60343i
\(111\) 48.2367 + 59.4510i 0.434565 + 0.535595i
\(112\) 40.9413 54.6518i 0.365547 0.487962i
\(113\) 17.2776 + 9.97525i 0.152899 + 0.0882765i 0.574498 0.818506i \(-0.305197\pi\)
−0.421598 + 0.906783i \(0.638531\pi\)
\(114\) −0.280381 + 103.828i −0.00245948 + 0.910770i
\(115\) 154.295 + 41.3432i 1.34170 + 0.359506i
\(116\) 105.014 + 6.27389i 0.905290 + 0.0540853i
\(117\) −9.77716 179.975i −0.0835655 1.53825i
\(118\) −119.806 53.8666i −1.01530 0.456497i
\(119\) 22.7749 + 39.4473i 0.191386 + 0.331490i
\(120\) 65.9360 196.223i 0.549467 1.63519i
\(121\) 121.763 + 70.2998i 1.00630 + 0.580990i
\(122\) 20.0233 14.4362i 0.164126 0.118330i
\(123\) 26.1716 36.0946i 0.212777 0.293452i
\(124\) −48.0587 16.0047i −0.387570 0.129070i
\(125\) −148.776 148.776i −1.19021 1.19021i
\(126\) 27.6556 71.6714i 0.219489 0.568821i
\(127\) 76.3214 0.600956 0.300478 0.953789i \(-0.402854\pi\)
0.300478 + 0.953789i \(0.402854\pi\)
\(128\) −127.611 9.96809i −0.996963 0.0778757i
\(129\) −19.4959 + 50.9342i −0.151131 + 0.394838i
\(130\) −55.2904 + 341.015i −0.425310 + 2.62319i
\(131\) −26.4201 + 7.07925i −0.201680 + 0.0540401i −0.358245 0.933628i \(-0.616625\pi\)
0.156565 + 0.987668i \(0.449958\pi\)
\(132\) 31.5801 191.502i 0.239243 1.45077i
\(133\) 19.1150 71.3380i 0.143721 0.536376i
\(134\) −57.1453 25.6935i −0.426457 0.191742i
\(135\) 11.5210 232.595i 0.0853407 1.72292i
\(136\) 39.5945 75.6456i 0.291136 0.556217i
\(137\) 103.573 + 179.394i 0.756009 + 1.30945i 0.944871 + 0.327442i \(0.106187\pi\)
−0.188863 + 0.982003i \(0.560480\pi\)
\(138\) −28.4699 107.411i −0.206304 0.778338i
\(139\) 35.0078 9.38031i 0.251855 0.0674842i −0.130683 0.991424i \(-0.541717\pi\)
0.382537 + 0.923940i \(0.375050\pi\)
\(140\) −81.0965 + 122.901i −0.579261 + 0.877861i
\(141\) 51.1112 22.8147i 0.362490 0.161807i
\(142\) −48.1807 + 59.0554i −0.339301 + 0.415883i
\(143\) 323.913i 2.26512i
\(144\) −141.222 + 28.1462i −0.980712 + 0.195459i
\(145\) −226.844 −1.56444
\(146\) 198.082 + 161.606i 1.35673 + 1.10689i
\(147\) 54.2137 74.7689i 0.368800 0.508632i
\(148\) −56.2202 + 85.2009i −0.379866 + 0.575682i
\(149\) −24.5447 91.6021i −0.164730 0.614779i −0.998075 0.0620258i \(-0.980244\pi\)
0.833345 0.552753i \(-0.186423\pi\)
\(150\) −77.4772 + 286.057i −0.516514 + 1.90704i
\(151\) 85.7840 49.5274i 0.568106 0.327996i −0.188286 0.982114i \(-0.560293\pi\)
0.756393 + 0.654118i \(0.226960\pi\)
\(152\) −132.123 + 41.3328i −0.869232 + 0.271926i
\(153\) 19.7911 93.9930i 0.129353 0.614333i
\(154\) −56.6140 + 125.916i −0.367624 + 0.817637i
\(155\) 105.502 + 28.2693i 0.680661 + 0.182383i
\(156\) 224.901 84.6952i 1.44168 0.542918i
\(157\) 9.17060 + 34.2252i 0.0584115 + 0.217995i 0.988962 0.148169i \(-0.0473378\pi\)
−0.930551 + 0.366163i \(0.880671\pi\)
\(158\) −29.8063 4.83263i −0.188647 0.0305863i
\(159\) 125.283 101.651i 0.787945 0.639314i
\(160\) 275.960 + 5.04566i 1.72475 + 0.0315354i
\(161\) 79.0411i 0.490938i
\(162\) −144.331 + 73.5706i −0.890930 + 0.454140i
\(163\) 79.4058 79.4058i 0.487152 0.487152i −0.420254 0.907406i \(-0.638059\pi\)
0.907406 + 0.420254i \(0.138059\pi\)
\(164\) 56.4007 + 18.7828i 0.343906 + 0.114529i
\(165\) −43.3485 + 416.261i −0.262718 + 2.52280i
\(166\) −132.781 184.169i −0.799883 1.10945i
\(167\) −148.694 + 257.546i −0.890384 + 1.54219i −0.0509694 + 0.998700i \(0.516231\pi\)
−0.839415 + 0.543491i \(0.817102\pi\)
\(168\) 102.230 + 6.38470i 0.608513 + 0.0380041i
\(169\) −200.977 + 116.034i −1.18922 + 0.686594i
\(170\) −75.4977 + 167.916i −0.444104 + 0.987739i
\(171\) −130.454 + 85.0729i −0.762889 + 0.497502i
\(172\) −72.5877 4.33665i −0.422022 0.0252131i
\(173\) 7.21216 26.9161i 0.0416888 0.155585i −0.941944 0.335771i \(-0.891003\pi\)
0.983633 + 0.180186i \(0.0576700\pi\)
\(174\) 78.5313 + 136.872i 0.451329 + 0.786623i
\(175\) 105.404 182.565i 0.602307 1.04323i
\(176\) 256.163 36.7404i 1.45547 0.208752i
\(177\) −31.0095 194.582i −0.175195 1.09933i
\(178\) 129.457 158.677i 0.727288 0.891442i
\(179\) 38.8769 + 38.8769i 0.217190 + 0.217190i 0.807313 0.590123i \(-0.200921\pi\)
−0.590123 + 0.807313i \(0.700921\pi\)
\(180\) 300.356 78.7440i 1.66865 0.437467i
\(181\) −174.343 174.343i −0.963219 0.963219i 0.0361282 0.999347i \(-0.488498\pi\)
−0.999347 + 0.0361282i \(0.988498\pi\)
\(182\) −170.071 + 17.2467i −0.934457 + 0.0947622i
\(183\) 34.5805 + 13.2363i 0.188965 + 0.0723295i
\(184\) 125.135 79.3257i 0.680080 0.431118i
\(185\) 110.055 190.621i 0.594893 1.03038i
\(186\) −19.4669 73.4443i −0.104661 0.394862i
\(187\) −44.6774 + 166.738i −0.238917 + 0.891649i
\(188\) 49.5298 + 55.8241i 0.263457 + 0.296937i
\(189\) 112.646 24.2814i 0.596009 0.128473i
\(190\) 279.075 105.958i 1.46881 0.557671i
\(191\) −18.5440 + 10.7064i −0.0970889 + 0.0560543i −0.547758 0.836637i \(-0.684519\pi\)
0.450669 + 0.892691i \(0.351185\pi\)
\(192\) −92.4902 168.254i −0.481720 0.876325i
\(193\) 62.0847 107.534i 0.321683 0.557171i −0.659153 0.752009i \(-0.729085\pi\)
0.980835 + 0.194839i \(0.0624183\pi\)
\(194\) −161.796 26.2328i −0.834001 0.135221i
\(195\) −473.199 + 211.224i −2.42666 + 1.08320i
\(196\) 116.832 + 38.9079i 0.596082 + 0.198510i
\(197\) 234.620 234.620i 1.19096 1.19096i 0.214168 0.976797i \(-0.431296\pi\)
0.976797 0.214168i \(-0.0687040\pi\)
\(198\) 266.169 117.950i 1.34429 0.595708i
\(199\) 202.984i 1.02002i 0.860169 + 0.510010i \(0.170358\pi\)
−0.860169 + 0.510010i \(0.829642\pi\)
\(200\) −394.812 + 16.3509i −1.97406 + 0.0817544i
\(201\) −14.7910 92.8123i −0.0735870 0.461753i
\(202\) 160.528 115.736i 0.794693 0.572951i
\(203\) −29.0515 108.422i −0.143111 0.534097i
\(204\) 127.453 12.5772i 0.624769 0.0616531i
\(205\) −123.815 33.1763i −0.603978 0.161835i
\(206\) 370.538 140.684i 1.79873 0.682932i
\(207\) 111.293 124.080i 0.537649 0.599420i
\(208\) 197.988 + 251.941i 0.951865 + 1.21126i
\(209\) 242.389 139.943i 1.15976 0.669586i
\(210\) −220.867 0.596439i −1.05175 0.00284019i
\(211\) 50.6135 + 188.892i 0.239875 + 0.895224i 0.975891 + 0.218260i \(0.0700381\pi\)
−0.736016 + 0.676964i \(0.763295\pi\)
\(212\) 179.547 + 118.475i 0.846920 + 0.558844i
\(213\) −113.710 11.8415i −0.533848 0.0555937i
\(214\) −14.2547 140.566i −0.0666106 0.656852i
\(215\) 156.800 0.729301
\(216\) −151.493 153.967i −0.701355 0.712812i
\(217\) 54.0460i 0.249060i
\(218\) −24.3918 240.529i −0.111889 1.10334i
\(219\) −39.7183 + 381.401i −0.181362 + 1.74156i
\(220\) −546.656 + 112.024i −2.48480 + 0.509198i
\(221\) −206.455 + 55.3196i −0.934187 + 0.250315i
\(222\) −153.116 0.413482i −0.689713 0.00186253i
\(223\) 98.9068 + 171.312i 0.443528 + 0.768214i 0.997948 0.0640232i \(-0.0203932\pi\)
−0.554420 + 0.832237i \(0.687060\pi\)
\(224\) 32.9300 + 132.543i 0.147009 + 0.591710i
\(225\) −422.524 + 138.180i −1.87788 + 0.614133i
\(226\) −37.3028 + 14.1629i −0.165057 + 0.0626679i
\(227\) 67.3687 251.423i 0.296778 1.10759i −0.643016 0.765853i \(-0.722317\pi\)
0.939795 0.341740i \(-0.111016\pi\)
\(228\) −160.545 131.706i −0.704146 0.577656i
\(229\) 108.797 29.1520i 0.475095 0.127301i −0.0133229 0.999911i \(-0.504241\pi\)
0.488418 + 0.872610i \(0.337574\pi\)
\(230\) −259.146 + 186.837i −1.12672 + 0.812335i
\(231\) −204.506 + 32.5911i −0.885309 + 0.141087i
\(232\) −142.493 + 154.805i −0.614193 + 0.667264i
\(233\) −281.212 −1.20692 −0.603460 0.797394i \(-0.706212\pi\)
−0.603460 + 0.797394i \(0.706212\pi\)
\(234\) 291.265 + 212.394i 1.24472 + 0.907665i
\(235\) −113.790 113.790i −0.484211 0.484211i
\(236\) 234.948 117.556i 0.995543 0.498118i
\(237\) −18.4620 41.3598i −0.0778986 0.174514i
\(238\) −89.9252 14.5800i −0.377837 0.0612605i
\(239\) −237.936 137.372i −0.995546 0.574779i −0.0886186 0.996066i \(-0.528245\pi\)
−0.906927 + 0.421287i \(0.861579\pi\)
\(240\) 220.718 + 350.267i 0.919659 + 1.45945i
\(241\) −58.8394 101.913i −0.244147 0.422875i 0.717745 0.696306i \(-0.245175\pi\)
−0.961891 + 0.273432i \(0.911841\pi\)
\(242\) −262.889 + 99.8122i −1.08632 + 0.412447i
\(243\) −211.023 120.493i −0.868405 0.495855i
\(244\) −2.94427 + 49.2817i −0.0120667 + 0.201974i
\(245\) −256.480 68.7235i −1.04686 0.280504i
\(246\) 22.8460 + 86.1926i 0.0928698 + 0.350377i
\(247\) 300.126 + 173.278i 1.21509 + 0.701530i
\(248\) 85.5635 54.2406i 0.345014 0.218712i
\(249\) 121.744 318.062i 0.488931 1.27736i
\(250\) 418.656 42.4554i 1.67462 0.169822i
\(251\) 162.917 162.917i 0.649070 0.649070i −0.303698 0.952768i \(-0.598222\pi\)
0.952768 + 0.303698i \(0.0982215\pi\)
\(252\) 76.1023 + 133.473i 0.301993 + 0.529653i
\(253\) −211.808 + 211.808i −0.837188 + 0.837188i
\(254\) −96.4944 + 118.274i −0.379899 + 0.465645i
\(255\) −272.720 + 43.4619i −1.06949 + 0.170439i
\(256\) 176.788 185.154i 0.690579 0.723257i
\(257\) 128.327 + 74.0896i 0.499327 + 0.288286i 0.728435 0.685114i \(-0.240248\pi\)
−0.229109 + 0.973401i \(0.573581\pi\)
\(258\) −54.2826 94.6093i −0.210398 0.366703i
\(259\) 105.203 + 28.1891i 0.406190 + 0.108838i
\(260\) −458.559 516.833i −1.76369 1.98782i
\(261\) −107.057 + 211.108i −0.410180 + 0.808843i
\(262\) 22.4328 49.8931i 0.0856214 0.190432i
\(263\) −116.549 201.869i −0.443153 0.767563i 0.554769 0.832005i \(-0.312807\pi\)
−0.997921 + 0.0644415i \(0.979473\pi\)
\(264\) 256.840 + 291.058i 0.972877 + 1.10249i
\(265\) −401.703 231.923i −1.51586 0.875182i
\(266\) 86.3837 + 119.816i 0.324751 + 0.450435i
\(267\) 305.527 + 31.8170i 1.14430 + 0.119165i
\(268\) 112.066 56.0722i 0.418158 0.209224i
\(269\) 105.443 + 105.443i 0.391983 + 0.391983i 0.875394 0.483411i \(-0.160602\pi\)
−0.483411 + 0.875394i \(0.660602\pi\)
\(270\) 345.881 + 311.927i 1.28104 + 1.15529i
\(271\) 95.2203 0.351367 0.175683 0.984447i \(-0.443787\pi\)
0.175683 + 0.984447i \(0.443787\pi\)
\(272\) 67.1665 + 156.999i 0.246936 + 0.577201i
\(273\) −161.558 199.118i −0.591787 0.729369i
\(274\) −408.952 66.3054i −1.49253 0.241990i
\(275\) 771.676 206.770i 2.80610 0.751891i
\(276\) 202.447 + 91.6817i 0.733504 + 0.332180i
\(277\) 48.0221 179.221i 0.173365 0.647007i −0.823459 0.567375i \(-0.807959\pi\)
0.996824 0.0796318i \(-0.0253745\pi\)
\(278\) −29.7244 + 66.1105i −0.106922 + 0.237808i
\(279\) 76.0991 84.8423i 0.272757 0.304094i
\(280\) −87.9250 281.059i −0.314018 1.00378i
\(281\) 121.707 + 210.803i 0.433123 + 0.750190i 0.997140 0.0755723i \(-0.0240784\pi\)
−0.564018 + 0.825763i \(0.690745\pi\)
\(282\) −29.2651 + 108.051i −0.103777 + 0.383159i
\(283\) 103.140 27.6363i 0.364453 0.0976548i −0.0719452 0.997409i \(-0.522921\pi\)
0.436398 + 0.899754i \(0.356254\pi\)
\(284\) −30.6013 149.329i −0.107751 0.525808i
\(285\) 362.504 + 262.845i 1.27194 + 0.922264i
\(286\) −501.961 409.528i −1.75511 1.43192i
\(287\) 63.4272i 0.221001i
\(288\) 134.932 254.435i 0.468515 0.883456i
\(289\) 175.094 0.605862
\(290\) 286.803 351.536i 0.988975 1.21219i
\(291\) −100.216 224.512i −0.344386 0.771518i
\(292\) −500.876 + 102.642i −1.71533 + 0.351514i
\(293\) −65.6590 245.043i −0.224092 0.836324i −0.982766 0.184853i \(-0.940819\pi\)
0.758674 0.651471i \(-0.225848\pi\)
\(294\) 47.3247 + 178.545i 0.160968 + 0.607297i
\(295\) −490.599 + 283.247i −1.66305 + 0.960160i
\(296\) −60.9541 194.844i −0.205926 0.658257i
\(297\) 366.927 + 236.792i 1.23545 + 0.797280i
\(298\) 172.986 + 77.7775i 0.580490 + 0.260998i
\(299\) −358.256 95.9943i −1.19818 0.321051i
\(300\) −345.340 481.730i −1.15113 1.60577i
\(301\) 20.0810 + 74.9435i 0.0667144 + 0.248982i
\(302\) −31.7064 + 195.556i −0.104988 + 0.647537i
\(303\) 277.234 + 106.116i 0.914963 + 0.350218i
\(304\) 102.993 257.006i 0.338792 0.845415i
\(305\) 106.455i 0.349034i
\(306\) 120.637 + 149.507i 0.394238 + 0.488584i
\(307\) −62.8799 + 62.8799i −0.204821 + 0.204821i −0.802062 0.597241i \(-0.796264\pi\)
0.597241 + 0.802062i \(0.296264\pi\)
\(308\) −123.552 246.931i −0.401142 0.801725i
\(309\) 481.310 + 348.990i 1.55764 + 1.12942i
\(310\) −177.197 + 127.754i −0.571602 + 0.412109i
\(311\) −146.124 + 253.095i −0.469853 + 0.813809i −0.999406 0.0344676i \(-0.989026\pi\)
0.529553 + 0.848277i \(0.322360\pi\)
\(312\) −153.096 + 455.606i −0.490692 + 1.46028i
\(313\) −118.420 + 68.3697i −0.378338 + 0.218434i −0.677095 0.735896i \(-0.736761\pi\)
0.298757 + 0.954329i \(0.403428\pi\)
\(314\) −64.6326 29.0599i −0.205836 0.0925474i
\(315\) −180.971 277.508i −0.574511 0.880977i
\(316\) 45.1736 40.0802i 0.142954 0.126836i
\(317\) 34.1866 127.586i 0.107844 0.402480i −0.890808 0.454380i \(-0.849861\pi\)
0.998652 + 0.0518996i \(0.0165276\pi\)
\(318\) −0.871345 + 322.668i −0.00274008 + 1.01468i
\(319\) 212.690 368.391i 0.666741 1.15483i
\(320\) −356.719 + 421.270i −1.11475 + 1.31647i
\(321\) 164.574 133.530i 0.512690 0.415980i
\(322\) −122.488 99.9329i −0.380399 0.310351i
\(323\) 130.594 + 130.594i 0.404314 + 0.404314i
\(324\) 68.4687 316.683i 0.211323 0.977416i
\(325\) 699.467 + 699.467i 2.15221 + 2.15221i
\(326\) 22.6596 + 223.448i 0.0695078 + 0.685422i
\(327\) 281.609 228.489i 0.861190 0.698742i
\(328\) −100.415 + 63.6556i −0.306145 + 0.194072i
\(329\) 39.8137 68.9594i 0.121014 0.209603i
\(330\) −590.265 593.462i −1.78868 1.79837i
\(331\) −54.4461 + 203.196i −0.164490 + 0.613884i 0.833615 + 0.552346i \(0.186267\pi\)
−0.998105 + 0.0615381i \(0.980399\pi\)
\(332\) 453.280 + 27.0806i 1.36530 + 0.0815679i
\(333\) −125.458 192.383i −0.376752 0.577725i
\(334\) −211.117 556.048i −0.632088 1.66481i
\(335\) −234.007 + 135.104i −0.698530 + 0.403296i
\(336\) −139.145 + 150.352i −0.414123 + 0.447475i
\(337\) −214.471 + 371.475i −0.636414 + 1.10230i 0.349800 + 0.936824i \(0.386249\pi\)
−0.986214 + 0.165476i \(0.947084\pi\)
\(338\) 74.2828 458.155i 0.219772 1.35549i
\(339\) −48.4545 35.1335i −0.142934 0.103639i
\(340\) −164.762 329.296i −0.484595 0.968517i
\(341\) −144.828 + 144.828i −0.424717 + 0.424717i
\(342\) 33.0993 309.721i 0.0967817 0.905616i
\(343\) 340.514i 0.992752i
\(344\) 98.4942 107.005i 0.286320 0.311061i
\(345\) −447.549 171.307i −1.29724 0.496543i
\(346\) 32.5929 + 45.2070i 0.0941993 + 0.130656i
\(347\) −75.0550 280.109i −0.216297 0.807231i −0.985706 0.168475i \(-0.946116\pi\)
0.769409 0.638756i \(-0.220551\pi\)
\(348\) −311.397 51.3516i −0.894818 0.147562i
\(349\) 359.896 + 96.4340i 1.03122 + 0.276315i 0.734471 0.678640i \(-0.237430\pi\)
0.296751 + 0.954955i \(0.404097\pi\)
\(350\) 149.653 + 394.161i 0.427580 + 1.12617i
\(351\) −26.7504 + 540.059i −0.0762121 + 1.53863i
\(352\) −266.935 + 443.422i −0.758339 + 1.25972i
\(353\) −364.255 + 210.302i −1.03188 + 0.595758i −0.917523 0.397682i \(-0.869815\pi\)
−0.114359 + 0.993439i \(0.536481\pi\)
\(354\) 340.745 + 197.958i 0.962558 + 0.559204i
\(355\) 85.0712 + 317.490i 0.239637 + 0.894339i
\(356\) 82.2231 + 401.235i 0.230964 + 1.12706i
\(357\) −55.6996 124.782i −0.156021 0.349530i
\(358\) −109.399 + 11.0941i −0.305585 + 0.0309890i
\(359\) 626.317 1.74462 0.872308 0.488956i \(-0.162622\pi\)
0.872308 + 0.488956i \(0.162622\pi\)
\(360\) −257.717 + 565.013i −0.715880 + 1.56948i
\(361\) 61.5478i 0.170492i
\(362\) 490.599 49.7511i 1.35525 0.137434i
\(363\) −341.479 247.601i −0.940714 0.682096i
\(364\) 188.297 285.361i 0.517299 0.783959i
\(365\) 1064.92 285.343i 2.91758 0.781762i
\(366\) −64.2327 + 36.8539i −0.175499 + 0.100694i
\(367\) −112.057 194.088i −0.305331 0.528849i 0.672004 0.740548i \(-0.265434\pi\)
−0.977335 + 0.211699i \(0.932101\pi\)
\(368\) −35.2804 + 294.211i −0.0958707 + 0.799487i
\(369\) −89.3083 + 99.5691i −0.242028 + 0.269835i
\(370\) 156.257 + 411.556i 0.422317 + 1.11231i
\(371\) 59.4039 221.699i 0.160118 0.597570i
\(372\) 138.427 + 62.6892i 0.372117 + 0.168519i
\(373\) 306.789 82.2039i 0.822491 0.220386i 0.177056 0.984201i \(-0.443343\pi\)
0.645435 + 0.763815i \(0.276676\pi\)
\(374\) −201.905 280.045i −0.539852 0.748785i
\(375\) 397.698 + 490.158i 1.06053 + 1.30709i
\(376\) −149.131 + 6.17615i −0.396624 + 0.0164259i
\(377\) 526.706 1.39710
\(378\) −104.791 + 205.264i −0.277226 + 0.543027i
\(379\) −275.758 275.758i −0.727594 0.727594i 0.242546 0.970140i \(-0.422017\pi\)
−0.970140 + 0.242546i \(0.922017\pi\)
\(380\) −188.638 + 566.440i −0.496416 + 1.49063i
\(381\) −227.733 23.7156i −0.597724 0.0622456i
\(382\) 6.85400 42.2735i 0.0179424 0.110664i
\(383\) 153.374 + 88.5508i 0.400456 + 0.231203i 0.686681 0.726959i \(-0.259067\pi\)
−0.286225 + 0.958162i \(0.592400\pi\)
\(384\) 377.677 + 69.3965i 0.983535 + 0.180720i
\(385\) 297.694 + 515.621i 0.773231 + 1.33928i
\(386\) 88.1484 + 232.168i 0.228364 + 0.601472i
\(387\) 74.0002 145.923i 0.191215 0.377061i
\(388\) 245.214 217.566i 0.631994 0.560736i
\(389\) −239.507 64.1757i −0.615699 0.164976i −0.0625273 0.998043i \(-0.519916\pi\)
−0.553172 + 0.833067i \(0.686583\pi\)
\(390\) 270.944 1000.36i 0.694727 2.56503i
\(391\) −171.176 98.8286i −0.437791 0.252759i
\(392\) −208.007 + 131.861i −0.530631 + 0.336379i
\(393\) 81.0338 12.9139i 0.206193 0.0328598i
\(394\) 66.9521 + 660.220i 0.169929 + 1.67568i
\(395\) −92.0801 + 92.0801i −0.233114 + 0.233114i
\(396\) −153.737 + 561.603i −0.388224 + 1.41819i
\(397\) 264.780 264.780i 0.666953 0.666953i −0.290057 0.957009i \(-0.593674\pi\)
0.957009 + 0.290057i \(0.0936742\pi\)
\(398\) −314.560 256.636i −0.790352 0.644813i
\(399\) −79.2035 + 206.923i −0.198505 + 0.518604i
\(400\) 473.829 632.505i 1.18457 1.58126i
\(401\) 424.888 + 245.309i 1.05957 + 0.611744i 0.925314 0.379202i \(-0.123802\pi\)
0.134258 + 0.990946i \(0.457135\pi\)
\(402\) 162.530 + 94.4228i 0.404303 + 0.234883i
\(403\) −244.965 65.6381i −0.607853 0.162874i
\(404\) −23.6043 + 395.094i −0.0584266 + 0.977955i
\(405\) −106.652 + 690.452i −0.263338 + 1.70482i
\(406\) 204.749 + 92.0587i 0.504308 + 0.226746i
\(407\) 206.377 + 357.455i 0.507068 + 0.878267i
\(408\) −141.650 + 213.413i −0.347182 + 0.523071i
\(409\) 472.092 + 272.563i 1.15426 + 0.666412i 0.949922 0.312488i \(-0.101162\pi\)
0.204338 + 0.978900i \(0.434496\pi\)
\(410\) 207.954 149.929i 0.507206 0.365681i
\(411\) −253.305 567.471i −0.616313 1.38071i
\(412\) −250.462 + 752.084i −0.607918 + 1.82545i
\(413\) −198.210 198.210i −0.479927 0.479927i
\(414\) 51.5744 + 329.345i 0.124576 + 0.795520i
\(415\) −979.148 −2.35939
\(416\) −640.747 11.7154i −1.54026 0.0281621i
\(417\) −107.373 + 17.1115i −0.257490 + 0.0410348i
\(418\) −89.5888 + 552.558i −0.214327 + 1.32191i
\(419\) −746.051 + 199.904i −1.78055 + 0.477097i −0.990684 0.136181i \(-0.956517\pi\)
−0.789867 + 0.613278i \(0.789850\pi\)
\(420\) 280.170 341.519i 0.667072 0.813141i
\(421\) 76.7375 286.388i 0.182274 0.680257i −0.812923 0.582371i \(-0.802125\pi\)
0.995198 0.0978865i \(-0.0312082\pi\)
\(422\) −356.714 160.385i −0.845294 0.380059i
\(423\) −159.598 + 52.1941i −0.377300 + 0.123390i
\(424\) −410.602 + 128.451i −0.968401 + 0.302950i
\(425\) 263.582 + 456.537i 0.620193 + 1.07421i
\(426\) 162.115 161.242i 0.380552 0.378503i
\(427\) 50.8811 13.6335i 0.119159 0.0319287i
\(428\) 235.855 + 155.630i 0.551063 + 0.363621i
\(429\) 100.650 966.511i 0.234616 2.25294i
\(430\) −198.244 + 242.989i −0.461033 + 0.565092i
\(431\) 629.535i 1.46064i −0.683107 0.730318i \(-0.739372\pi\)
0.683107 0.730318i \(-0.260628\pi\)
\(432\) 430.135 40.1018i 0.995682 0.0928282i
\(433\) −848.660 −1.95995 −0.979977 0.199112i \(-0.936194\pi\)
−0.979977 + 0.199112i \(0.936194\pi\)
\(434\) −83.7540 68.3312i −0.192981 0.157445i
\(435\) 676.872 + 70.4880i 1.55603 + 0.162041i
\(436\) 403.582 + 266.305i 0.925647 + 0.610792i
\(437\) 82.9468 + 309.562i 0.189810 + 0.708379i
\(438\) −540.833 543.762i −1.23478 1.24147i
\(439\) −395.202 + 228.170i −0.900233 + 0.519750i −0.877276 0.479987i \(-0.840641\pi\)
−0.0229572 + 0.999736i \(0.507308\pi\)
\(440\) 517.545 988.775i 1.17624 2.24722i
\(441\) −184.999 + 206.254i −0.419500 + 0.467697i
\(442\) 175.297 389.881i 0.396600 0.882084i
\(443\) −64.7626 17.3531i −0.146191 0.0391718i 0.184981 0.982742i \(-0.440778\pi\)
−0.331172 + 0.943570i \(0.607444\pi\)
\(444\) 194.228 236.759i 0.437451 0.533240i
\(445\) −228.579 853.068i −0.513660 1.91701i
\(446\) −390.528 63.3181i −0.875623 0.141969i
\(447\) 44.7743 + 280.955i 0.100166 + 0.628535i
\(448\) −247.033 116.545i −0.551413 0.260145i
\(449\) 692.689i 1.54274i −0.636388 0.771369i \(-0.719572\pi\)
0.636388 0.771369i \(-0.280428\pi\)
\(450\) 320.069 829.479i 0.711263 1.84329i
\(451\) 169.968 169.968i 0.376868 0.376868i
\(452\) 25.2145 75.7138i 0.0557843 0.167508i
\(453\) −271.358 + 121.127i −0.599024 + 0.267389i
\(454\) 304.450 + 422.278i 0.670596 + 0.930129i
\(455\) −368.605 + 638.442i −0.810121 + 1.40317i
\(456\) 407.081 82.2763i 0.892722 0.180431i
\(457\) −17.1245 + 9.88683i −0.0374715 + 0.0216342i −0.518619 0.855006i \(-0.673554\pi\)
0.481147 + 0.876640i \(0.340220\pi\)
\(458\) −92.3771 + 205.457i −0.201697 + 0.448597i
\(459\) −88.2606 + 274.313i −0.192289 + 0.597631i
\(460\) 38.1053 637.815i 0.0828377 1.38655i
\(461\) −117.395 + 438.124i −0.254653 + 0.950376i 0.713631 + 0.700522i \(0.247049\pi\)
−0.968283 + 0.249854i \(0.919617\pi\)
\(462\) 208.055 358.125i 0.450335 0.775162i
\(463\) 250.824 434.441i 0.541737 0.938316i −0.457067 0.889432i \(-0.651100\pi\)
0.998804 0.0488843i \(-0.0155666\pi\)
\(464\) −59.7426 416.541i −0.128756 0.897717i
\(465\) −306.021 117.135i −0.658109 0.251903i
\(466\) 355.541 435.789i 0.762963 0.935169i
\(467\) −233.073 233.073i −0.499086 0.499086i 0.412067 0.911153i \(-0.364807\pi\)
−0.911153 + 0.412067i \(0.864807\pi\)
\(468\) −697.393 + 182.835i −1.49016 + 0.390672i
\(469\) −94.5428 94.5428i −0.201584 0.201584i
\(470\) 320.204 32.4715i 0.681284 0.0690882i
\(471\) −16.7289 104.973i −0.0355179 0.222872i
\(472\) −114.875 + 512.722i −0.243378 + 1.08628i
\(473\) −147.016 + 254.640i −0.310817 + 0.538350i
\(474\) 87.4362 + 23.6817i 0.184465 + 0.0499614i
\(475\) 221.224 825.620i 0.465735 1.73815i
\(476\) 136.288 120.922i 0.286320 0.254037i
\(477\) −405.415 + 264.383i −0.849926 + 0.554261i
\(478\) 513.708 195.042i 1.07470 0.408038i
\(479\) −90.3640 + 52.1717i −0.188651 + 0.108918i −0.591351 0.806414i \(-0.701405\pi\)
0.402700 + 0.915332i \(0.368072\pi\)
\(480\) −821.859 100.805i −1.71221 0.210011i
\(481\) −255.536 + 442.601i −0.531259 + 0.920168i
\(482\) 232.324 + 37.6677i 0.481999 + 0.0781488i
\(483\) 24.5607 235.848i 0.0508503 0.488298i
\(484\) 177.697 533.588i 0.367143 1.10245i
\(485\) −499.835 + 499.835i −1.03059 + 1.03059i
\(486\) 453.524 174.676i 0.933177 0.359417i
\(487\) 29.0400i 0.0596304i −0.999555 0.0298152i \(-0.990508\pi\)
0.999555 0.0298152i \(-0.00949188\pi\)
\(488\) −72.6484 66.8703i −0.148870 0.137029i
\(489\) −261.610 + 212.262i −0.534990 + 0.434074i
\(490\) 430.771 310.573i 0.879124 0.633823i
\(491\) 205.184 + 765.757i 0.417890 + 1.55959i 0.778976 + 0.627054i \(0.215739\pi\)
−0.361086 + 0.932533i \(0.617594\pi\)
\(492\) −162.455 73.5708i −0.330194 0.149534i
\(493\) 271.129 + 72.6488i 0.549957 + 0.147361i
\(494\) −647.979 + 246.021i −1.31170 + 0.498019i
\(495\) 258.692 1228.60i 0.522611 2.48202i
\(496\) −24.1237 + 201.173i −0.0486365 + 0.405591i
\(497\) −140.852 + 81.3207i −0.283404 + 0.163623i
\(498\) 338.972 + 590.795i 0.680666 + 1.18634i
\(499\) 192.975 + 720.192i 0.386723 + 1.44327i 0.835432 + 0.549593i \(0.185217\pi\)
−0.448709 + 0.893678i \(0.648116\pi\)
\(500\) −463.521 + 702.459i −0.927041 + 1.40492i
\(501\) 523.711 722.278i 1.04533 1.44167i
\(502\) 46.4905 + 458.446i 0.0926106 + 0.913239i
\(503\) 22.4731 0.0446781 0.0223390 0.999750i \(-0.492889\pi\)
0.0223390 + 0.999750i \(0.492889\pi\)
\(504\) −303.057 50.8174i −0.601304 0.100828i
\(505\) 853.458i 1.69002i
\(506\) −60.4425 596.028i −0.119452 1.17792i
\(507\) 635.745 283.780i 1.25393 0.559725i
\(508\) −61.2871 299.071i −0.120644 0.588722i
\(509\) −810.744 + 217.238i −1.59282 + 0.426794i −0.942863 0.333180i \(-0.891878\pi\)
−0.649954 + 0.759974i \(0.725212\pi\)
\(510\) 277.452 477.578i 0.544023 0.936427i
\(511\) 272.763 + 472.440i 0.533784 + 0.924540i
\(512\) 63.4128 + 508.058i 0.123853 + 0.992301i
\(513\) 415.692 213.309i 0.810316 0.415808i
\(514\) −277.061 + 105.193i −0.539029 + 0.204656i
\(515\) 442.394 1651.04i 0.859018 3.20590i
\(516\) 215.244 + 35.4954i 0.417140 + 0.0687895i
\(517\) 291.482 78.1024i 0.563795 0.151068i
\(518\) −176.694 + 127.391i −0.341108 + 0.245929i
\(519\) −29.8838 + 78.0731i −0.0575796 + 0.150430i
\(520\) 1380.69 57.1803i 2.65517 0.109962i
\(521\) −860.751 −1.65211 −0.826057 0.563587i \(-0.809421\pi\)
−0.826057 + 0.563587i \(0.809421\pi\)
\(522\) −191.796 432.811i −0.367425 0.829140i
\(523\) 590.670 + 590.670i 1.12939 + 1.12939i 0.990277 + 0.139112i \(0.0444248\pi\)
0.139112 + 0.990277i \(0.455575\pi\)
\(524\) 48.9562 + 97.8443i 0.0934279 + 0.186726i
\(525\) −371.239 + 511.996i −0.707122 + 0.975230i
\(526\) 460.187 + 74.6124i 0.874881 + 0.141849i
\(527\) −117.045 67.5761i −0.222097 0.128228i
\(528\) −775.773 + 30.0298i −1.46927 + 0.0568747i
\(529\) 93.0058 + 161.091i 0.175814 + 0.304519i
\(530\) 867.286 329.287i 1.63639 0.621295i
\(531\) 32.0650 + 590.242i 0.0603860 + 1.11157i
\(532\) −294.892 17.6179i −0.554309 0.0331164i
\(533\) 287.485 + 77.0315i 0.539372 + 0.144524i
\(534\) −435.589 + 433.243i −0.815710 + 0.811316i
\(535\) −527.681 304.657i −0.986320 0.569452i
\(536\) −54.7933 + 244.560i −0.102226 + 0.456268i
\(537\) −103.923 128.084i −0.193525 0.238517i
\(538\) −296.717 + 30.0897i −0.551519 + 0.0559289i
\(539\) 352.082 352.082i 0.653214 0.653214i
\(540\) −920.690 + 141.631i −1.70498 + 0.262279i
\(541\) 709.094 709.094i 1.31071 1.31071i 0.389817 0.920892i \(-0.372538\pi\)
0.920892 0.389817i \(-0.127462\pi\)
\(542\) −120.389 + 147.561i −0.222119 + 0.272253i
\(543\) 466.041 + 574.389i 0.858270 + 1.05781i
\(544\) −328.217 94.4092i −0.603340 0.173546i
\(545\) −902.939 521.312i −1.65677 0.956536i
\(546\) 512.829 + 1.38486i 0.939247 + 0.00253638i
\(547\) −376.806 100.965i −0.688860 0.184579i −0.102624 0.994720i \(-0.532724\pi\)
−0.586235 + 0.810141i \(0.699391\pi\)
\(548\) 619.797 549.914i 1.13102 1.00349i
\(549\) −99.0706 50.2406i −0.180456 0.0915130i
\(550\) −655.215 + 1457.27i −1.19130 + 2.64959i
\(551\) −227.558 394.143i −0.412992 0.715323i
\(552\) −398.034 + 197.813i −0.721076 + 0.358358i
\(553\) −55.8028 32.2178i −0.100909 0.0582600i
\(554\) 217.020 + 301.011i 0.391733 + 0.543341i
\(555\) −387.622 + 534.590i −0.698418 + 0.963225i
\(556\) −64.8691 129.648i −0.116671 0.233180i
\(557\) 121.809 + 121.809i 0.218688 + 0.218688i 0.807946 0.589257i \(-0.200580\pi\)
−0.589257 + 0.807946i \(0.700580\pi\)
\(558\) 35.2651 + 225.197i 0.0631990 + 0.403578i
\(559\) −364.071 −0.651290
\(560\) 546.716 + 219.091i 0.976278 + 0.391234i
\(561\) 185.122 483.642i 0.329986 0.862106i
\(562\) −480.554 77.9146i −0.855079 0.138638i
\(563\) −701.738 + 188.030i −1.24643 + 0.333979i −0.820955 0.570993i \(-0.806558\pi\)
−0.425472 + 0.904972i \(0.639892\pi\)
\(564\) −130.444 181.962i −0.231284 0.322628i
\(565\) −44.5367 + 166.213i −0.0788261 + 0.294183i
\(566\) −87.5742 + 194.775i −0.154725 + 0.344126i
\(567\) −343.665 + 37.4498i −0.606110 + 0.0660490i
\(568\) 270.102 + 141.377i 0.475533 + 0.248904i
\(569\) −114.358 198.073i −0.200980 0.348108i 0.747864 0.663852i \(-0.231079\pi\)
−0.948845 + 0.315744i \(0.897746\pi\)
\(570\) −865.645 + 229.445i −1.51868 + 0.402536i
\(571\) −277.397 + 74.3283i −0.485809 + 0.130172i −0.493406 0.869799i \(-0.664248\pi\)
0.00759710 + 0.999971i \(0.497582\pi\)
\(572\) 1269.27 260.106i 2.21901 0.454731i
\(573\) 58.6596 26.1841i 0.102373 0.0456966i
\(574\) 98.2919 + 80.1920i 0.171240 + 0.139707i
\(575\) 914.771i 1.59091i
\(576\) 223.696 + 530.788i 0.388361 + 0.921507i
\(577\) 1015.70 1.76031 0.880156 0.474685i \(-0.157438\pi\)
0.880156 + 0.474685i \(0.157438\pi\)
\(578\) −221.374 + 271.340i −0.383000 + 0.469446i
\(579\) −218.667 + 301.575i −0.377663 + 0.520855i
\(580\) 182.159 + 888.904i 0.314067 + 1.53259i
\(581\) −125.398 467.990i −0.215831 0.805491i
\(582\) 474.626 + 128.550i 0.815509 + 0.220877i
\(583\) 753.278 434.905i 1.29207 0.745978i
\(584\) 474.203 905.969i 0.811991 1.55132i
\(585\) 1477.60 483.226i 2.52581 0.826027i
\(586\) 462.752 + 208.061i 0.789678 + 0.355053i
\(587\) 19.9763 + 5.35264i 0.0340312 + 0.00911864i 0.275794 0.961217i \(-0.411059\pi\)
−0.241763 + 0.970335i \(0.577726\pi\)
\(588\) −336.521 152.400i −0.572315 0.259183i
\(589\) 56.7166 + 211.669i 0.0962931 + 0.359371i
\(590\) 181.329 1118.38i 0.307337 1.89557i
\(591\) −772.979 + 627.170i −1.30792 + 1.06120i
\(592\) 379.011 + 151.885i 0.640222 + 0.256563i
\(593\) 938.907i 1.58332i 0.610964 + 0.791659i \(0.290782\pi\)
−0.610964 + 0.791659i \(0.709218\pi\)
\(594\) −830.864 + 269.240i −1.39876 + 0.453266i
\(595\) −277.805 + 277.805i −0.466899 + 0.466899i
\(596\) −339.239 + 169.738i −0.569193 + 0.284795i
\(597\) 63.0738 605.676i 0.105651 1.01453i
\(598\) 601.708 433.814i 1.00620 0.725442i
\(599\) 337.675 584.869i 0.563730 0.976410i −0.433436 0.901184i \(-0.642699\pi\)
0.997167 0.0752255i \(-0.0239677\pi\)
\(600\) 1183.15 + 73.8924i 1.97191 + 0.123154i
\(601\) −744.438 + 429.801i −1.23866 + 0.715144i −0.968821 0.247761i \(-0.920305\pi\)
−0.269844 + 0.962904i \(0.586972\pi\)
\(602\) −141.527 63.6330i −0.235095 0.105703i
\(603\) 15.2945 + 281.535i 0.0253639 + 0.466891i
\(604\) −262.962 296.379i −0.435368 0.490694i
\(605\) −313.869 + 1171.38i −0.518792 + 1.93616i
\(606\) −514.957 + 295.459i −0.849764 + 0.487556i
\(607\) −46.7213 + 80.9237i −0.0769708 + 0.133317i −0.901942 0.431858i \(-0.857858\pi\)
0.824971 + 0.565175i \(0.191192\pi\)
\(608\) 268.062 + 484.543i 0.440891 + 0.796946i
\(609\) 52.9955 + 332.543i 0.0870206 + 0.546047i
\(610\) 164.972 + 134.593i 0.270446 + 0.220645i
\(611\) 264.207 + 264.207i 0.432417 + 0.432417i
\(612\) −384.210 2.07509i −0.627795 0.00339067i
\(613\) 74.1488 + 74.1488i 0.120960 + 0.120960i 0.764996 0.644035i \(-0.222741\pi\)
−0.644035 + 0.764996i \(0.722741\pi\)
\(614\) −17.9437 176.944i −0.0292242 0.288182i
\(615\) 359.140 + 137.467i 0.583967 + 0.223524i
\(616\) 538.873 + 120.734i 0.874793 + 0.195996i
\(617\) −386.923 + 670.170i −0.627103 + 1.08617i 0.361027 + 0.932555i \(0.382426\pi\)
−0.988130 + 0.153619i \(0.950907\pi\)
\(618\) −1149.35 + 304.643i −1.85979 + 0.492951i
\(619\) 187.068 698.147i 0.302210 1.12786i −0.633111 0.774061i \(-0.718222\pi\)
0.935321 0.353802i \(-0.115111\pi\)
\(620\) 26.0553 436.119i 0.0420247 0.703418i
\(621\) −370.640 + 335.655i −0.596844 + 0.540508i
\(622\) −207.468 546.437i −0.333551 0.878517i
\(623\) 378.456 218.501i 0.607473 0.350725i
\(624\) −512.482 813.280i −0.821286 1.30333i
\(625\) 289.953 502.213i 0.463924 0.803540i
\(626\) 43.7689 269.954i 0.0699183 0.431236i
\(627\) −766.741 + 342.254i −1.22287 + 0.545859i
\(628\) 126.749 63.4189i 0.201830 0.100985i
\(629\) −192.588 + 192.588i −0.306182 + 0.306182i
\(630\) 658.853 + 70.4105i 1.04580 + 0.111763i
\(631\) 232.499i 0.368461i 0.982883 + 0.184231i \(0.0589793\pi\)
−0.982883 + 0.184231i \(0.941021\pi\)
\(632\) 4.99782 + 120.679i 0.00790795 + 0.190947i
\(633\) −92.3288 579.356i −0.145859 0.915255i
\(634\) 154.495 + 214.288i 0.243683 + 0.337993i
\(635\) 170.377 + 635.856i 0.268310 + 1.00135i
\(636\) −498.930 409.304i −0.784481 0.643560i
\(637\) 595.517 + 159.568i 0.934877 + 0.250500i
\(638\) 301.979 + 795.364i 0.473322 + 1.24665i
\(639\) 335.614 + 70.6667i 0.525218 + 0.110589i
\(640\) −201.828 1085.42i −0.315356 1.69597i
\(641\) −154.261 + 89.0624i −0.240656 + 0.138943i −0.615478 0.788154i \(-0.711037\pi\)
0.374822 + 0.927097i \(0.377704\pi\)
\(642\) −1.14461 + 423.860i −0.00178288 + 0.660218i
\(643\) 119.295 + 445.215i 0.185529 + 0.692402i 0.994517 + 0.104577i \(0.0333489\pi\)
−0.808988 + 0.587825i \(0.799984\pi\)
\(644\) 309.728 63.4710i 0.480944 0.0985575i
\(645\) −467.869 48.7229i −0.725379 0.0755393i
\(646\) −367.490 + 37.2667i −0.568869 + 0.0576884i
\(647\) −978.908 −1.51300 −0.756498 0.653996i \(-0.773091\pi\)
−0.756498 + 0.653996i \(0.773091\pi\)
\(648\) 404.191 + 506.492i 0.623751 + 0.781623i
\(649\) 1062.30i 1.63682i
\(650\) −1968.30 + 199.603i −3.02815 + 0.307081i
\(651\) 16.7939 161.266i 0.0257970 0.247720i
\(652\) −374.921 247.393i −0.575032 0.379437i
\(653\) −123.593 + 33.1167i −0.189270 + 0.0507148i −0.352209 0.935921i \(-0.614569\pi\)
0.162939 + 0.986636i \(0.447903\pi\)
\(654\) −1.95859 + 725.286i −0.00299479 + 1.10900i
\(655\) −117.959 204.310i −0.180089 0.311924i
\(656\) 28.3111 236.093i 0.0431572 0.359897i
\(657\) 237.028 1125.71i 0.360773 1.71341i
\(658\) 56.5278 + 148.885i 0.0859085 + 0.226269i
\(659\) 119.886 447.422i 0.181922 0.678941i −0.813347 0.581779i \(-0.802357\pi\)
0.995269 0.0971622i \(-0.0309766\pi\)
\(660\) 1665.96 164.399i 2.52418 0.249089i
\(661\) −1025.09 + 274.672i −1.55082 + 0.415541i −0.929743 0.368210i \(-0.879971\pi\)
−0.621076 + 0.783750i \(0.713304\pi\)
\(662\) −246.051 341.277i −0.371678 0.515525i
\(663\) 633.224 100.914i 0.955090 0.152207i
\(664\) −615.055 + 668.200i −0.926287 + 1.00632i
\(665\) 637.009 0.957908
\(666\) 456.750 + 48.8121i 0.685811 + 0.0732914i
\(667\) 344.417 + 344.417i 0.516367 + 0.516367i
\(668\) 1128.61 + 375.856i 1.68954 + 0.562658i
\(669\) −241.892 541.904i −0.361573 0.810022i
\(670\) 86.4909 533.451i 0.129091 0.796195i
\(671\) 172.882 + 99.8132i 0.257648 + 0.148753i
\(672\) −57.0733 405.723i −0.0849305 0.603754i
\(673\) −477.904 827.754i −0.710110 1.22995i −0.964815 0.262928i \(-0.915312\pi\)
0.254705 0.967019i \(-0.418021\pi\)
\(674\) −304.508 802.024i −0.451793 1.18995i
\(675\) 1303.69 281.018i 1.93139 0.416323i
\(676\) 616.076 + 694.366i 0.911355 + 1.02717i
\(677\) 903.751 + 242.159i 1.33493 + 0.357695i 0.854553 0.519365i \(-0.173831\pi\)
0.480382 + 0.877060i \(0.340498\pi\)
\(678\) 115.707 30.6691i 0.170660 0.0452346i
\(679\) −302.912 174.886i −0.446115 0.257565i
\(680\) 718.614 + 161.005i 1.05679 + 0.236771i
\(681\) −279.145 + 729.280i −0.409904 + 1.07090i
\(682\) −41.3288 407.547i −0.0605995 0.597576i
\(683\) −393.319 + 393.319i −0.575870 + 0.575870i −0.933763 0.357893i \(-0.883495\pi\)
0.357893 + 0.933763i \(0.383495\pi\)
\(684\) 438.120 + 442.878i 0.640526 + 0.647483i
\(685\) −1263.37 + 1263.37i −1.84434 + 1.84434i
\(686\) 527.688 + 430.517i 0.769224 + 0.627576i
\(687\) −333.693 + 53.1788i −0.485725 + 0.0774073i
\(688\) 41.2954 + 287.922i 0.0600224 + 0.418492i
\(689\) 932.708 + 538.499i 1.35371 + 0.781567i
\(690\) 831.314 476.971i 1.20480 0.691262i
\(691\) 358.967 + 96.1850i 0.519489 + 0.139197i 0.509030 0.860749i \(-0.330004\pi\)
0.0104590 + 0.999945i \(0.496671\pi\)
\(692\) −111.264 6.64732i −0.160786 0.00960596i
\(693\) 620.346 33.7004i 0.895161 0.0486297i
\(694\) 528.972 + 237.835i 0.762208 + 0.342702i
\(695\) 156.300 + 270.720i 0.224892 + 0.389525i
\(696\) 473.282 417.641i 0.680003 0.600058i
\(697\) 137.362 + 79.3059i 0.197076 + 0.113782i
\(698\) −604.464 + 435.801i −0.865995 + 0.624357i
\(699\) 839.099 + 87.3819i 1.20043 + 0.125010i
\(700\) −800.032 266.430i −1.14290 0.380614i
\(701\) 314.121 + 314.121i 0.448105 + 0.448105i 0.894724 0.446619i \(-0.147372\pi\)
−0.446619 + 0.894724i \(0.647372\pi\)
\(702\) −803.097 724.259i −1.14401 1.03171i
\(703\) 441.607 0.628175
\(704\) −349.672 974.290i −0.496693 1.38394i
\(705\) 304.175 + 374.891i 0.431453 + 0.531760i
\(706\) 134.631 830.366i 0.190696 1.17616i
\(707\) 407.916 109.301i 0.576968 0.154598i
\(708\) −737.582 + 277.764i −1.04178 + 0.392323i
\(709\) 158.573 591.802i 0.223657 0.834699i −0.759281 0.650763i \(-0.774449\pi\)
0.982938 0.183936i \(-0.0588840\pi\)
\(710\) −599.565 269.575i −0.844458 0.379683i
\(711\) 42.2362 + 129.149i 0.0594039 + 0.181644i
\(712\) −725.741 379.868i −1.01930 0.533522i
\(713\) −117.263 203.105i −0.164464 0.284860i
\(714\) 263.794 + 71.4475i 0.369460 + 0.100067i
\(715\) −2698.61 + 723.091i −3.77428 + 1.01132i
\(716\) 121.123 183.561i 0.169166 0.256369i
\(717\) 667.281 + 483.834i 0.930657 + 0.674804i
\(718\) −791.863 + 970.591i −1.10287 + 1.35180i
\(719\) 1339.60i 1.86314i −0.363563 0.931570i \(-0.618440\pi\)
0.363563 0.931570i \(-0.381560\pi\)
\(720\) −549.754 1113.73i −0.763547 1.54685i
\(721\) 845.782 1.17307
\(722\) −95.3793 77.8158i −0.132104 0.107778i
\(723\) 143.901 + 322.377i 0.199033 + 0.445888i
\(724\) −543.174 + 823.173i −0.750240 + 1.13698i
\(725\) −336.224 1254.80i −0.463757 1.73076i
\(726\) 815.439 216.138i 1.12319 0.297711i
\(727\) 89.3724 51.5992i 0.122933 0.0709755i −0.437272 0.899329i \(-0.644055\pi\)
0.560206 + 0.828354i \(0.310722\pi\)
\(728\) 204.152 + 652.586i 0.280428 + 0.896410i
\(729\) 592.221 + 425.106i 0.812375 + 0.583135i
\(730\) −904.199 + 2011.04i −1.23863 + 2.75485i
\(731\) −187.410 50.2165i −0.256375 0.0686956i
\(732\) 24.0987 146.135i 0.0329218 0.199638i
\(733\) −95.9769 358.191i −0.130937 0.488664i 0.869045 0.494734i \(-0.164734\pi\)
−0.999982 + 0.00607015i \(0.998068\pi\)
\(734\) 442.448 + 71.7363i 0.602791 + 0.0977333i
\(735\) 743.946 + 284.758i 1.01217 + 0.387426i
\(736\) −411.328 426.649i −0.558869 0.579687i
\(737\) 506.698i 0.687514i
\(738\) −41.3863 264.286i −0.0560790 0.358111i
\(739\) 499.501 499.501i 0.675915 0.675915i −0.283158 0.959073i \(-0.591382\pi\)
0.959073 + 0.283158i \(0.0913821\pi\)
\(740\) −835.338 278.187i −1.12883 0.375929i
\(741\) −841.692 610.297i −1.13589 0.823612i
\(742\) 268.456 + 372.354i 0.361801 + 0.501825i
\(743\) 347.803 602.412i 0.468106 0.810784i −0.531229 0.847228i \(-0.678270\pi\)
0.999336 + 0.0364442i \(0.0116031\pi\)
\(744\) −272.164 + 135.259i −0.365812 + 0.181800i
\(745\) 708.371 408.978i 0.950833 0.548964i
\(746\) −260.489 + 579.356i −0.349180 + 0.776617i
\(747\) −462.100 + 911.224i −0.618607 + 1.21985i
\(748\) 689.252 + 41.1784i 0.921460 + 0.0550513i
\(749\) 78.0337 291.226i 0.104184 0.388819i
\(750\) −1262.40 3.40905i −1.68320 0.00454540i
\(751\) 68.1628 118.062i 0.0907628 0.157206i −0.817070 0.576539i \(-0.804403\pi\)
0.907832 + 0.419333i \(0.137736\pi\)
\(752\) 178.977 238.913i 0.238002 0.317704i
\(753\) −536.744 + 435.497i −0.712808 + 0.578349i
\(754\) −665.923 + 816.226i −0.883187 + 1.08253i
\(755\) 604.128 + 604.128i 0.800170 + 0.800170i
\(756\) −185.604 421.912i −0.245509 0.558084i
\(757\) −490.578 490.578i −0.648056 0.648056i 0.304467 0.952523i \(-0.401522\pi\)
−0.952523 + 0.304467i \(0.901522\pi\)
\(758\) 775.981 78.6914i 1.02372 0.103814i
\(759\) 697.824 566.192i 0.919399 0.745971i
\(760\) −639.302 1008.49i −0.841187 1.32696i
\(761\) 219.368 379.956i 0.288263 0.499286i −0.685132 0.728418i \(-0.740256\pi\)
0.973395 + 0.229133i \(0.0735890\pi\)
\(762\) 324.678 322.929i 0.426086 0.423791i
\(763\) 133.527 498.329i 0.175003 0.653118i
\(764\) 56.8447 + 64.0685i 0.0744041 + 0.0838593i
\(765\) 827.264 44.9412i 1.08139 0.0587467i
\(766\) −331.139 + 125.725i −0.432296 + 0.164132i
\(767\) 1139.11 657.668i 1.48516 0.857455i
\(768\) −585.046 + 497.540i −0.761778 + 0.647838i
\(769\) −4.71464 + 8.16600i −0.00613087 + 0.0106190i −0.869075 0.494681i \(-0.835285\pi\)
0.862944 + 0.505300i \(0.168618\pi\)
\(770\) −1175.43 190.578i −1.52653 0.247503i
\(771\) −359.888 260.949i −0.466781 0.338455i
\(772\) −471.234 156.932i −0.610406 0.203280i
\(773\) −99.7597 + 99.7597i −0.129055 + 0.129055i −0.768684 0.639629i \(-0.779088\pi\)
0.639629