Properties

Label 144.3.w.a.5.8
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 5.8
Character \(\chi\) \(=\) 144.5
Dual form 144.3.w.a.29.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.73513 + 0.994646i) q^{2} +(1.85623 - 2.35678i) q^{3} +(2.02136 - 3.45168i) q^{4} +(-0.777454 - 2.90150i) q^{5} +(-0.876653 + 5.93561i) q^{6} +(2.72697 - 1.57442i) q^{7} +(-0.0741259 + 7.99966i) q^{8} +(-2.10879 - 8.74946i) q^{9} +O(q^{10})\) \(q+(-1.73513 + 0.994646i) q^{2} +(1.85623 - 2.35678i) q^{3} +(2.02136 - 3.45168i) q^{4} +(-0.777454 - 2.90150i) q^{5} +(-0.876653 + 5.93561i) q^{6} +(2.72697 - 1.57442i) q^{7} +(-0.0741259 + 7.99966i) q^{8} +(-2.10879 - 8.74946i) q^{9} +(4.23494 + 4.26119i) q^{10} +(-14.9108 - 3.99534i) q^{11} +(-4.38272 - 11.1710i) q^{12} +(-0.385861 - 1.44005i) q^{13} +(-3.16566 + 5.44419i) q^{14} +(-8.28131 - 3.55357i) q^{15} +(-7.82820 - 13.9542i) q^{16} +1.71558i q^{17} +(12.3616 + 13.0840i) q^{18} +(6.25827 - 6.25827i) q^{19} +(-11.5866 - 3.18145i) q^{20} +(1.35135 - 9.34935i) q^{21} +(29.8462 - 7.89854i) q^{22} +(9.83131 - 17.0283i) q^{23} +(18.7158 + 15.0239i) q^{24} +(13.8364 - 7.98844i) q^{25} +(2.10186 + 2.11489i) q^{26} +(-24.5349 - 11.2711i) q^{27} +(0.0778040 - 12.5951i) q^{28} +(-4.24953 + 15.8594i) q^{29} +(17.9037 - 2.07106i) q^{30} +(23.0050 - 39.8458i) q^{31} +(27.4624 + 16.4260i) q^{32} +(-37.0941 + 27.7252i) q^{33} +(-1.70640 - 2.97676i) q^{34} +(-6.68826 - 6.68826i) q^{35} +(-34.4630 - 10.4069i) q^{36} +(6.16259 + 6.16259i) q^{37} +(-4.63416 + 17.0837i) q^{38} +(-4.11013 - 1.76369i) q^{39} +(23.2686 - 6.00429i) q^{40} +(-17.5575 + 30.4105i) q^{41} +(6.95452 + 17.5665i) q^{42} +(-16.7871 + 62.6504i) q^{43} +(-43.9308 + 43.3914i) q^{44} +(-23.7470 + 12.9209i) q^{45} +(-0.121461 + 39.3250i) q^{46} +(74.6613 - 43.1057i) q^{47} +(-47.4179 - 7.45291i) q^{48} +(-19.5424 + 33.8485i) q^{49} +(-16.0623 + 27.6233i) q^{50} +(4.04325 + 3.18453i) q^{51} +(-5.75057 - 1.57900i) q^{52} +(-15.8369 + 15.8369i) q^{53} +(53.7821 - 4.84670i) q^{54} +46.3699i q^{55} +(12.3927 + 21.9315i) q^{56} +(-3.13252 - 26.3661i) q^{57} +(-8.40104 - 31.7450i) q^{58} +(6.63154 + 24.7492i) q^{59} +(-29.0053 + 21.4014i) q^{60} +(50.8437 + 13.6235i) q^{61} +(-0.284215 + 92.0196i) q^{62} +(-19.5259 - 20.5394i) q^{63} +(-63.9890 - 1.18596i) q^{64} +(-3.87832 + 2.23915i) q^{65} +(36.7864 - 85.0023i) q^{66} +(-25.4705 - 95.0572i) q^{67} +(5.92165 + 3.46781i) q^{68} +(-21.8827 - 54.7788i) q^{69} +(18.2575 + 4.95256i) q^{70} +100.652 q^{71} +(70.1490 - 16.2210i) q^{72} +61.6188i q^{73} +(-16.8225 - 4.56331i) q^{74} +(6.85661 - 47.4377i) q^{75} +(-8.95133 - 34.2517i) q^{76} +(-46.9517 + 12.5807i) q^{77} +(8.88587 - 1.02789i) q^{78} +(39.1706 + 67.8455i) q^{79} +(-34.4019 + 33.5622i) q^{80} +(-72.1060 + 36.9015i) q^{81} +(0.216914 - 70.2297i) q^{82} +(34.0981 - 127.256i) q^{83} +(-29.5394 - 23.5628i) q^{84} +(4.97776 - 1.33379i) q^{85} +(-33.1871 - 125.404i) q^{86} +(29.4890 + 39.4540i) q^{87} +(33.0666 - 118.985i) q^{88} +82.3462 q^{89} +(28.3525 - 46.0394i) q^{90} +(-3.31948 - 3.31948i) q^{91} +(-38.9037 - 68.3549i) q^{92} +(-51.2050 - 128.181i) q^{93} +(-86.6722 + 149.056i) q^{94} +(-23.0238 - 13.2928i) q^{95} +(89.6892 - 34.2322i) q^{96} +(77.4982 + 134.231i) q^{97} +(0.241436 - 78.1693i) q^{98} +(-3.51334 + 138.887i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.73513 + 0.994646i −0.867566 + 0.497323i
\(3\) 1.85623 2.35678i 0.618745 0.785592i
\(4\) 2.02136 3.45168i 0.505340 0.862920i
\(5\) −0.777454 2.90150i −0.155491 0.580299i −0.999063 0.0432834i \(-0.986218\pi\)
0.843572 0.537016i \(-0.180448\pi\)
\(6\) −0.876653 + 5.93561i −0.146109 + 0.989269i
\(7\) 2.72697 1.57442i 0.389567 0.224917i −0.292405 0.956294i \(-0.594456\pi\)
0.681973 + 0.731378i \(0.261122\pi\)
\(8\) −0.0741259 + 7.99966i −0.00926573 + 0.999957i
\(9\) −2.10879 8.74946i −0.234310 0.972162i
\(10\) 4.23494 + 4.26119i 0.423494 + 0.426119i
\(11\) −14.9108 3.99534i −1.35553 0.363213i −0.493356 0.869827i \(-0.664230\pi\)
−0.862173 + 0.506615i \(0.830897\pi\)
\(12\) −4.38272 11.1710i −0.365227 0.930919i
\(13\) −0.385861 1.44005i −0.0296816 0.110773i 0.949496 0.313780i \(-0.101595\pi\)
−0.979177 + 0.203007i \(0.934929\pi\)
\(14\) −3.16566 + 5.44419i −0.226119 + 0.388871i
\(15\) −8.28131 3.55357i −0.552088 0.236905i
\(16\) −7.82820 13.9542i −0.489263 0.872136i
\(17\) 1.71558i 0.100917i 0.998726 + 0.0504584i \(0.0160682\pi\)
−0.998726 + 0.0504584i \(0.983932\pi\)
\(18\) 12.3616 + 13.0840i 0.686757 + 0.726887i
\(19\) 6.25827 6.25827i 0.329382 0.329382i −0.522969 0.852352i \(-0.675176\pi\)
0.852352 + 0.522969i \(0.175176\pi\)
\(20\) −11.5866 3.18145i −0.579328 0.159072i
\(21\) 1.35135 9.34935i 0.0643499 0.445207i
\(22\) 29.8462 7.89854i 1.35664 0.359024i
\(23\) 9.83131 17.0283i 0.427448 0.740362i −0.569197 0.822201i \(-0.692746\pi\)
0.996646 + 0.0818390i \(0.0260793\pi\)
\(24\) 18.7158 + 15.0239i 0.779825 + 0.625997i
\(25\) 13.8364 7.98844i 0.553456 0.319538i
\(26\) 2.10186 + 2.11489i 0.0808409 + 0.0813418i
\(27\) −24.5349 11.2711i −0.908701 0.417448i
\(28\) 0.0778040 12.5951i 0.00277871 0.449825i
\(29\) −4.24953 + 15.8594i −0.146535 + 0.546877i 0.853147 + 0.521671i \(0.174691\pi\)
−0.999682 + 0.0252066i \(0.991976\pi\)
\(30\) 17.9037 2.07106i 0.596790 0.0690352i
\(31\) 23.0050 39.8458i 0.742097 1.28535i −0.209442 0.977821i \(-0.567165\pi\)
0.951539 0.307529i \(-0.0995020\pi\)
\(32\) 27.4624 + 16.4260i 0.858201 + 0.513314i
\(33\) −37.0941 + 27.7252i −1.12406 + 0.840156i
\(34\) −1.70640 2.97676i −0.0501882 0.0875519i
\(35\) −6.68826 6.68826i −0.191093 0.191093i
\(36\) −34.4630 10.4069i −0.957304 0.289082i
\(37\) 6.16259 + 6.16259i 0.166556 + 0.166556i 0.785464 0.618907i \(-0.212424\pi\)
−0.618907 + 0.785464i \(0.712424\pi\)
\(38\) −4.63416 + 17.0837i −0.121951 + 0.449570i
\(39\) −4.11013 1.76369i −0.105388 0.0452228i
\(40\) 23.2686 6.00429i 0.581715 0.150107i
\(41\) −17.5575 + 30.4105i −0.428232 + 0.741719i −0.996716 0.0809747i \(-0.974197\pi\)
0.568484 + 0.822694i \(0.307530\pi\)
\(42\) 6.95452 + 17.5665i 0.165584 + 0.418249i
\(43\) −16.7871 + 62.6504i −0.390398 + 1.45699i 0.439080 + 0.898448i \(0.355304\pi\)
−0.829479 + 0.558539i \(0.811362\pi\)
\(44\) −43.9308 + 43.3914i −0.998427 + 0.986167i
\(45\) −23.7470 + 12.9209i −0.527712 + 0.287132i
\(46\) −0.121461 + 39.3250i −0.00264045 + 0.854892i
\(47\) 74.6613 43.1057i 1.58854 0.917143i 0.594989 0.803734i \(-0.297156\pi\)
0.993548 0.113409i \(-0.0361770\pi\)
\(48\) −47.4179 7.45291i −0.987872 0.155269i
\(49\) −19.5424 + 33.8485i −0.398825 + 0.690785i
\(50\) −16.0623 + 27.6233i −0.321246 + 0.552466i
\(51\) 4.04325 + 3.18453i 0.0792794 + 0.0624417i
\(52\) −5.75057 1.57900i −0.110588 0.0303653i
\(53\) −15.8369 + 15.8369i −0.298810 + 0.298810i −0.840548 0.541738i \(-0.817767\pi\)
0.541738 + 0.840548i \(0.317767\pi\)
\(54\) 53.7821 4.84670i 0.995964 0.0897536i
\(55\) 46.3699i 0.843088i
\(56\) 12.3927 + 21.9315i 0.221297 + 0.391635i
\(57\) −3.13252 26.3661i −0.0549565 0.462564i
\(58\) −8.40104 31.7450i −0.144846 0.547327i
\(59\) 6.63154 + 24.7492i 0.112399 + 0.419479i 0.999079 0.0429046i \(-0.0136612\pi\)
−0.886680 + 0.462383i \(0.846994\pi\)
\(60\) −29.0053 + 21.4014i −0.483422 + 0.356690i
\(61\) 50.8437 + 13.6235i 0.833504 + 0.223337i 0.650242 0.759727i \(-0.274668\pi\)
0.183262 + 0.983064i \(0.441334\pi\)
\(62\) −0.284215 + 92.0196i −0.00458411 + 1.48419i
\(63\) −19.5259 20.5394i −0.309935 0.326022i
\(64\) −63.9890 1.18596i −0.999828 0.0185307i
\(65\) −3.87832 + 2.23915i −0.0596665 + 0.0344485i
\(66\) 36.7864 85.0023i 0.557370 1.28791i
\(67\) −25.4705 95.0572i −0.380157 1.41876i −0.845662 0.533719i \(-0.820794\pi\)
0.465505 0.885045i \(-0.345873\pi\)
\(68\) 5.92165 + 3.46781i 0.0870831 + 0.0509973i
\(69\) −21.8827 54.7788i −0.317141 0.793895i
\(70\) 18.2575 + 4.95256i 0.260821 + 0.0707508i
\(71\) 100.652 1.41763 0.708815 0.705394i \(-0.249230\pi\)
0.708815 + 0.705394i \(0.249230\pi\)
\(72\) 70.1490 16.2210i 0.974291 0.225292i
\(73\) 61.6188i 0.844093i 0.906574 + 0.422046i \(0.138688\pi\)
−0.906574 + 0.422046i \(0.861312\pi\)
\(74\) −16.8225 4.56331i −0.227331 0.0616663i
\(75\) 6.85661 47.4377i 0.0914215 0.632503i
\(76\) −8.95133 34.2517i −0.117781 0.450681i
\(77\) −46.9517 + 12.5807i −0.609762 + 0.163385i
\(78\) 8.88587 1.02789i 0.113921 0.0131781i
\(79\) 39.1706 + 67.8455i 0.495830 + 0.858803i 0.999988 0.00480807i \(-0.00153046\pi\)
−0.504158 + 0.863611i \(0.668197\pi\)
\(80\) −34.4019 + 33.5622i −0.430024 + 0.419528i
\(81\) −72.1060 + 36.9015i −0.890198 + 0.455574i
\(82\) 0.216914 70.2297i 0.00264529 0.856460i
\(83\) 34.0981 127.256i 0.410821 1.53320i −0.382241 0.924063i \(-0.624847\pi\)
0.793062 0.609142i \(-0.208486\pi\)
\(84\) −29.5394 23.5628i −0.351660 0.280510i
\(85\) 4.97776 1.33379i 0.0585619 0.0156916i
\(86\) −33.1871 125.404i −0.385896 1.45819i
\(87\) 29.4890 + 39.4540i 0.338955 + 0.453495i
\(88\) 33.0666 118.985i 0.375757 1.35211i
\(89\) 82.3462 0.925238 0.462619 0.886557i \(-0.346910\pi\)
0.462619 + 0.886557i \(0.346910\pi\)
\(90\) 28.3525 46.0394i 0.315027 0.511549i
\(91\) −3.31948 3.31948i −0.0364778 0.0364778i
\(92\) −38.9037 68.3549i −0.422867 0.742988i
\(93\) −51.2050 128.181i −0.550592 1.37829i
\(94\) −86.6722 + 149.056i −0.922045 + 1.58570i
\(95\) −23.0238 13.2928i −0.242356 0.139924i
\(96\) 89.6892 34.2322i 0.934263 0.356585i
\(97\) 77.4982 + 134.231i 0.798951 + 1.38382i 0.920300 + 0.391213i \(0.127945\pi\)
−0.121349 + 0.992610i \(0.538722\pi\)
\(98\) 0.241436 78.1693i 0.00246364 0.797646i
\(99\) −3.51334 + 138.887i −0.0354882 + 1.40290i
\(100\) 0.394770 63.9063i 0.00394770 0.639063i
\(101\) 160.582 + 43.0279i 1.58992 + 0.426019i 0.941980 0.335670i \(-0.108963\pi\)
0.647943 + 0.761689i \(0.275629\pi\)
\(102\) −10.1830 1.50397i −0.0998337 0.0147448i
\(103\) 15.6351 + 9.02692i 0.151797 + 0.0876400i 0.573975 0.818873i \(-0.305401\pi\)
−0.422178 + 0.906513i \(0.638734\pi\)
\(104\) 11.5485 2.98001i 0.111044 0.0286540i
\(105\) −28.1777 + 3.34775i −0.268359 + 0.0318833i
\(106\) 11.7270 43.2313i 0.110632 0.407843i
\(107\) 20.2819 20.2819i 0.189551 0.189551i −0.605951 0.795502i \(-0.707207\pi\)
0.795502 + 0.605951i \(0.207207\pi\)
\(108\) −88.4982 + 61.9037i −0.819428 + 0.573183i
\(109\) 0.165303 0.165303i 0.00151654 0.00151654i −0.706348 0.707865i \(-0.749659\pi\)
0.707865 + 0.706348i \(0.249659\pi\)
\(110\) −46.1216 80.4578i −0.419287 0.731435i
\(111\) 25.9630 3.08463i 0.233901 0.0277895i
\(112\) −43.3170 25.7278i −0.386759 0.229712i
\(113\) −151.239 87.3181i −1.33840 0.772726i −0.351831 0.936064i \(-0.614441\pi\)
−0.986570 + 0.163337i \(0.947774\pi\)
\(114\) 31.6603 + 42.6330i 0.277722 + 0.373973i
\(115\) −57.0510 15.2868i −0.496096 0.132928i
\(116\) 46.1519 + 46.7257i 0.397861 + 0.402807i
\(117\) −11.7860 + 6.41284i −0.100735 + 0.0548106i
\(118\) −36.1233 36.3471i −0.306130 0.308027i
\(119\) 2.70105 + 4.67835i 0.0226979 + 0.0393139i
\(120\) 29.0412 65.9842i 0.242010 0.549869i
\(121\) 101.581 + 58.6476i 0.839509 + 0.484691i
\(122\) −101.771 + 26.9329i −0.834189 + 0.220761i
\(123\) 39.0799 + 97.8281i 0.317723 + 0.795351i
\(124\) −91.0337 159.949i −0.734143 1.28991i
\(125\) −87.0367 87.0367i −0.696293 0.696293i
\(126\) 54.3094 + 16.2172i 0.431027 + 0.128708i
\(127\) −157.229 −1.23802 −0.619011 0.785382i \(-0.712466\pi\)
−0.619011 + 0.785382i \(0.712466\pi\)
\(128\) 112.209 61.5886i 0.876632 0.481161i
\(129\) 116.492 + 155.857i 0.903040 + 1.20820i
\(130\) 4.50224 7.74277i 0.0346326 0.0595598i
\(131\) −90.2916 + 24.1936i −0.689249 + 0.184684i −0.586410 0.810014i \(-0.699459\pi\)
−0.102839 + 0.994698i \(0.532793\pi\)
\(132\) 20.7179 + 184.080i 0.156954 + 1.39454i
\(133\) 7.21299 26.9192i 0.0542330 0.202400i
\(134\) 138.743 + 139.603i 1.03539 + 1.04181i
\(135\) −13.6283 + 79.9507i −0.100951 + 0.592228i
\(136\) −13.7241 0.127169i −0.100912 0.000935068i
\(137\) 49.6591 + 86.0121i 0.362475 + 0.627826i 0.988368 0.152084i \(-0.0485984\pi\)
−0.625892 + 0.779910i \(0.715265\pi\)
\(138\) 92.4549 + 73.2828i 0.669963 + 0.531034i
\(139\) −184.778 + 49.5112i −1.32934 + 0.356195i −0.852469 0.522778i \(-0.824896\pi\)
−0.476871 + 0.878974i \(0.658229\pi\)
\(140\) −36.6051 + 9.56636i −0.261465 + 0.0683311i
\(141\) 36.9983 255.974i 0.262400 1.81542i
\(142\) −174.644 + 100.113i −1.22989 + 0.705020i
\(143\) 23.0140i 0.160937i
\(144\) −105.584 + 97.9189i −0.733219 + 0.679993i
\(145\) 49.3199 0.340137
\(146\) −61.2888 106.917i −0.419786 0.732306i
\(147\) 43.4979 + 108.888i 0.295904 + 0.740733i
\(148\) 33.7281 8.81448i 0.227893 0.0595573i
\(149\) 8.83929 + 32.9887i 0.0593241 + 0.221401i 0.989223 0.146413i \(-0.0467730\pi\)
−0.929899 + 0.367814i \(0.880106\pi\)
\(150\) 35.2866 + 89.1305i 0.235244 + 0.594203i
\(151\) −108.388 + 62.5780i −0.717803 + 0.414424i −0.813944 0.580944i \(-0.802684\pi\)
0.0961405 + 0.995368i \(0.469350\pi\)
\(152\) 49.6001 + 50.5279i 0.326316 + 0.332420i
\(153\) 15.0104 3.61780i 0.0981074 0.0236458i
\(154\) 68.9540 68.5294i 0.447753 0.444996i
\(155\) −133.498 35.7706i −0.861277 0.230778i
\(156\) −14.3958 + 10.6218i −0.0922805 + 0.0680886i
\(157\) −10.5996 39.5583i −0.0675134 0.251963i 0.923918 0.382590i \(-0.124968\pi\)
−0.991432 + 0.130627i \(0.958301\pi\)
\(158\) −135.448 78.7599i −0.857268 0.498480i
\(159\) 7.92705 + 66.7212i 0.0498556 + 0.419630i
\(160\) 26.3094 92.4526i 0.164433 0.577829i
\(161\) 61.9143i 0.384561i
\(162\) 88.4095 135.749i 0.545738 0.837956i
\(163\) 70.0945 70.0945i 0.430028 0.430028i −0.458610 0.888638i \(-0.651652\pi\)
0.888638 + 0.458610i \(0.151652\pi\)
\(164\) 69.4773 + 122.073i 0.423642 + 0.744351i
\(165\) 109.283 + 86.0733i 0.662324 + 0.521657i
\(166\) 67.4098 + 254.721i 0.406083 + 1.53447i
\(167\) 155.978 270.162i 0.934000 1.61774i 0.157594 0.987504i \(-0.449626\pi\)
0.776407 0.630232i \(-0.217040\pi\)
\(168\) 74.6914 + 11.5033i 0.444592 + 0.0684723i
\(169\) 144.433 83.3887i 0.854636 0.493424i
\(170\) −7.31042 + 7.26540i −0.0430025 + 0.0427377i
\(171\) −67.9538 41.5591i −0.397391 0.243036i
\(172\) 182.316 + 184.583i 1.05998 + 1.07316i
\(173\) 29.0627 108.463i 0.167992 0.626956i −0.829647 0.558288i \(-0.811458\pi\)
0.997640 0.0686680i \(-0.0218749\pi\)
\(174\) −90.4101 39.1268i −0.519598 0.224866i
\(175\) 25.1543 43.5685i 0.143739 0.248963i
\(176\) 60.9732 + 239.345i 0.346439 + 1.35991i
\(177\) 70.6381 + 30.3113i 0.399085 + 0.171250i
\(178\) −142.881 + 81.9053i −0.802705 + 0.460142i
\(179\) 19.9359 + 19.9359i 0.111374 + 0.111374i 0.760597 0.649224i \(-0.224906\pi\)
−0.649224 + 0.760597i \(0.724906\pi\)
\(180\) −3.40237 + 108.085i −0.0189021 + 0.600473i
\(181\) −184.590 184.590i −1.01983 1.01983i −0.999799 0.0200327i \(-0.993623\pi\)
−0.0200327 0.999799i \(-0.506377\pi\)
\(182\) 9.06143 + 2.45803i 0.0497881 + 0.0135056i
\(183\) 126.485 94.5388i 0.691178 0.516605i
\(184\) 135.492 + 79.9093i 0.736370 + 0.434290i
\(185\) 13.0896 22.6719i 0.0707546 0.122551i
\(186\) 216.342 + 171.480i 1.16313 + 0.921934i
\(187\) 6.85434 25.5808i 0.0366543 0.136796i
\(188\) 2.13018 344.839i 0.0113308 1.83425i
\(189\) −84.6514 + 7.89222i −0.447891 + 0.0417578i
\(190\) 53.1710 + 0.164226i 0.279848 + 0.000864346i
\(191\) −104.101 + 60.1025i −0.545029 + 0.314673i −0.747115 0.664695i \(-0.768561\pi\)
0.202085 + 0.979368i \(0.435228\pi\)
\(192\) −121.574 + 148.606i −0.633196 + 0.773991i
\(193\) 116.405 201.619i 0.603133 1.04466i −0.389210 0.921149i \(-0.627252\pi\)
0.992344 0.123508i \(-0.0394146\pi\)
\(194\) −267.982 155.825i −1.38135 0.803221i
\(195\) −1.92190 + 13.2967i −0.00985589 + 0.0681883i
\(196\) 77.3318 + 135.874i 0.394550 + 0.693235i
\(197\) −187.650 + 187.650i −0.952537 + 0.952537i −0.998924 0.0463865i \(-0.985229\pi\)
0.0463865 + 0.998924i \(0.485229\pi\)
\(198\) −132.047 244.481i −0.666905 1.23475i
\(199\) 334.994i 1.68339i 0.539954 + 0.841694i \(0.318442\pi\)
−0.539954 + 0.841694i \(0.681558\pi\)
\(200\) 62.8792 + 111.279i 0.314396 + 0.556393i
\(201\) −271.308 116.420i −1.34979 0.579205i
\(202\) −321.429 + 85.0634i −1.59123 + 0.421106i
\(203\) 13.3811 + 49.9388i 0.0659165 + 0.246004i
\(204\) 19.1648 7.51893i 0.0939453 0.0368575i
\(205\) 101.886 + 27.3003i 0.497005 + 0.133172i
\(206\) −36.1075 0.111523i −0.175279 0.000541373i
\(207\) −169.721 50.1095i −0.819907 0.242075i
\(208\) −17.0742 + 16.6574i −0.0820874 + 0.0800837i
\(209\) −118.320 + 68.3119i −0.566123 + 0.326851i
\(210\) 45.5622 33.8356i 0.216963 0.161122i
\(211\) −22.6219 84.4259i −0.107213 0.400123i 0.891374 0.453268i \(-0.149742\pi\)
−0.998587 + 0.0531454i \(0.983075\pi\)
\(212\) 22.6519 + 86.6762i 0.106849 + 0.408850i
\(213\) 186.833 237.214i 0.877152 1.11368i
\(214\) −15.0185 + 55.3652i −0.0701798 + 0.258716i
\(215\) 194.831 0.906191
\(216\) 91.9837 195.435i 0.425850 0.904794i
\(217\) 144.878i 0.667640i
\(218\) −0.122404 + 0.451239i −0.000561487 + 0.00206990i
\(219\) 145.222 + 114.379i 0.663112 + 0.522278i
\(220\) 160.054 + 93.7302i 0.727518 + 0.426046i
\(221\) 2.47053 0.661978i 0.0111789 0.00299537i
\(222\) −41.9812 + 31.1763i −0.189104 + 0.140434i
\(223\) −69.9040 121.077i −0.313471 0.542947i 0.665640 0.746273i \(-0.268158\pi\)
−0.979111 + 0.203325i \(0.934825\pi\)
\(224\) 100.751 + 1.55603i 0.449780 + 0.00694655i
\(225\) −99.0725 104.215i −0.440322 0.463178i
\(226\) 349.271 + 1.07877i 1.54545 + 0.00477331i
\(227\) −18.3040 + 68.3114i −0.0806343 + 0.300931i −0.994452 0.105194i \(-0.966454\pi\)
0.913817 + 0.406125i \(0.133120\pi\)
\(228\) −97.3395 42.4830i −0.426927 0.186329i
\(229\) −179.795 + 48.1760i −0.785132 + 0.210376i −0.629046 0.777368i \(-0.716554\pi\)
−0.156086 + 0.987743i \(0.549888\pi\)
\(230\) 114.196 30.2210i 0.496504 0.131396i
\(231\) −57.5035 + 134.007i −0.248933 + 0.580118i
\(232\) −126.555 35.1703i −0.545496 0.151596i
\(233\) −298.248 −1.28003 −0.640016 0.768361i \(-0.721072\pi\)
−0.640016 + 0.768361i \(0.721072\pi\)
\(234\) 14.0717 22.8500i 0.0601356 0.0976496i
\(235\) −183.117 183.117i −0.779220 0.779220i
\(236\) 98.8312 + 27.1372i 0.418776 + 0.114988i
\(237\) 232.606 + 33.6208i 0.981461 + 0.141860i
\(238\) −9.33997 5.43097i −0.0392436 0.0228192i
\(239\) 349.332 + 201.687i 1.46164 + 0.843878i 0.999087 0.0427149i \(-0.0136007\pi\)
0.462551 + 0.886592i \(0.346934\pi\)
\(240\) 15.2406 + 143.377i 0.0635025 + 0.597404i
\(241\) 13.9214 + 24.1126i 0.0577652 + 0.100052i 0.893462 0.449139i \(-0.148269\pi\)
−0.835697 + 0.549191i \(0.814936\pi\)
\(242\) −234.589 0.724560i −0.969377 0.00299405i
\(243\) −46.8772 + 238.436i −0.192910 + 0.981216i
\(244\) 149.798 147.958i 0.613924 0.606386i
\(245\) 113.405 + 30.3866i 0.462876 + 0.124027i
\(246\) −165.113 130.874i −0.671191 0.532008i
\(247\) −11.4271 6.59742i −0.0462634 0.0267102i
\(248\) 317.048 + 186.986i 1.27842 + 0.753975i
\(249\) −236.620 316.579i −0.950280 1.27140i
\(250\) 237.591 + 64.4494i 0.950363 + 0.257798i
\(251\) −51.9748 + 51.9748i −0.207071 + 0.207071i −0.803021 0.595950i \(-0.796775\pi\)
0.595950 + 0.803021i \(0.296775\pi\)
\(252\) −110.364 + 25.8796i −0.437954 + 0.102697i
\(253\) −214.627 + 214.627i −0.848327 + 0.848327i
\(254\) 272.812 156.387i 1.07406 0.615696i
\(255\) 6.09646 14.2073i 0.0239077 0.0557149i
\(256\) −133.438 + 218.472i −0.521244 + 0.853408i
\(257\) −76.8094 44.3459i −0.298869 0.172552i 0.343066 0.939311i \(-0.388535\pi\)
−0.641935 + 0.766759i \(0.721868\pi\)
\(258\) −357.152 154.565i −1.38431 0.599087i
\(259\) 26.5077 + 7.10271i 0.102346 + 0.0274236i
\(260\) −0.110654 + 17.9129i −0.000425590 + 0.0688956i
\(261\) 147.723 + 3.73686i 0.565988 + 0.0143175i
\(262\) 132.604 131.787i 0.506121 0.503004i
\(263\) −227.617 394.243i −0.865462 1.49902i −0.866588 0.499025i \(-0.833692\pi\)
0.00112531 0.999999i \(-0.499642\pi\)
\(264\) −219.042 298.795i −0.829705 1.13180i
\(265\) 58.2633 + 33.6383i 0.219862 + 0.126937i
\(266\) 14.2596 + 53.8828i 0.0536076 + 0.202567i
\(267\) 152.854 194.072i 0.572486 0.726860i
\(268\) −379.592 104.229i −1.41639 0.388914i
\(269\) 270.906 + 270.906i 1.00709 + 1.00709i 0.999975 + 0.00711237i \(0.00226396\pi\)
0.00711237 + 0.999975i \(0.497736\pi\)
\(270\) −55.8757 152.280i −0.206947 0.564001i
\(271\) −233.539 −0.861769 −0.430884 0.902407i \(-0.641798\pi\)
−0.430884 + 0.902407i \(0.641798\pi\)
\(272\) 23.9396 13.4299i 0.0880132 0.0493748i
\(273\) −13.9850 + 1.66154i −0.0512271 + 0.00608622i
\(274\) −171.717 99.8491i −0.626703 0.364413i
\(275\) −238.228 + 63.8331i −0.866285 + 0.232120i
\(276\) −233.312 35.1954i −0.845332 0.127519i
\(277\) 95.6554 356.991i 0.345327 1.28878i −0.546904 0.837195i \(-0.684194\pi\)
0.892230 0.451581i \(-0.149140\pi\)
\(278\) 271.368 269.697i 0.976145 0.970134i
\(279\) −397.142 117.255i −1.42345 0.420269i
\(280\) 53.9995 53.0080i 0.192856 0.189314i
\(281\) 53.4344 + 92.5511i 0.190158 + 0.329363i 0.945302 0.326195i \(-0.105767\pi\)
−0.755144 + 0.655558i \(0.772433\pi\)
\(282\) 190.407 + 480.949i 0.675201 + 1.70549i
\(283\) 185.291 49.6487i 0.654740 0.175437i 0.0838690 0.996477i \(-0.473272\pi\)
0.570871 + 0.821040i \(0.306606\pi\)
\(284\) 203.454 347.418i 0.716386 1.22330i
\(285\) −74.0659 + 29.5874i −0.259880 + 0.103816i
\(286\) −22.8908 39.9323i −0.0800378 0.139624i
\(287\) 110.571i 0.385266i
\(288\) 85.8066 274.920i 0.297940 0.954585i
\(289\) 286.057 0.989816
\(290\) −85.5765 + 49.0558i −0.295092 + 0.169158i
\(291\) 460.207 + 66.5180i 1.58147 + 0.228584i
\(292\) 212.688 + 124.554i 0.728385 + 0.426554i
\(293\) 69.4104 + 259.043i 0.236896 + 0.884106i 0.977285 + 0.211928i \(0.0679744\pi\)
−0.740390 + 0.672178i \(0.765359\pi\)
\(294\) −183.779 145.670i −0.625100 0.495475i
\(295\) 66.6541 38.4828i 0.225946 0.130450i
\(296\) −49.7554 + 48.8418i −0.168093 + 0.165006i
\(297\) 320.804 + 266.087i 1.08015 + 0.895915i
\(298\) −48.1494 48.4477i −0.161575 0.162576i
\(299\) −28.3152 7.58704i −0.0946997 0.0253747i
\(300\) −149.880 119.556i −0.499600 0.398518i
\(301\) 52.8599 + 197.276i 0.175614 + 0.655401i
\(302\) 125.825 216.389i 0.416639 0.716520i
\(303\) 399.485 298.586i 1.31843 0.985434i
\(304\) −136.320 38.3380i −0.448421 0.126112i
\(305\) 158.115i 0.518408i
\(306\) −22.4466 + 21.2074i −0.0733550 + 0.0693053i
\(307\) 158.023 158.023i 0.514734 0.514734i −0.401240 0.915973i \(-0.631421\pi\)
0.915973 + 0.401240i \(0.131421\pi\)
\(308\) −51.4818 + 187.492i −0.167149 + 0.608741i
\(309\) 50.2968 20.0923i 0.162773 0.0650237i
\(310\) 267.215 70.7163i 0.861985 0.228117i
\(311\) −79.4511 + 137.613i −0.255470 + 0.442486i −0.965023 0.262165i \(-0.915563\pi\)
0.709553 + 0.704652i \(0.248897\pi\)
\(312\) 14.4136 32.7489i 0.0461974 0.104964i
\(313\) −235.949 + 136.225i −0.753830 + 0.435224i −0.827076 0.562090i \(-0.809998\pi\)
0.0732460 + 0.997314i \(0.476664\pi\)
\(314\) 57.7381 + 58.0959i 0.183879 + 0.185019i
\(315\) −44.4145 + 72.6228i −0.140999 + 0.230548i
\(316\) 313.359 + 1.93572i 0.991642 + 0.00612569i
\(317\) −85.4196 + 318.790i −0.269463 + 1.00565i 0.689999 + 0.723810i \(0.257611\pi\)
−0.959462 + 0.281838i \(0.909056\pi\)
\(318\) −80.1184 107.885i −0.251945 0.339262i
\(319\) 126.728 219.499i 0.397266 0.688084i
\(320\) 46.3074 + 186.586i 0.144711 + 0.583081i
\(321\) −10.1520 85.4480i −0.0316260 0.266193i
\(322\) 61.5828 + 107.429i 0.191251 + 0.333632i
\(323\) 10.7366 + 10.7366i 0.0332402 + 0.0332402i
\(324\) −18.3801 + 323.478i −0.0567288 + 0.998390i
\(325\) −16.8427 16.8427i −0.0518237 0.0518237i
\(326\) −51.9040 + 191.342i −0.159215 + 0.586940i
\(327\) −0.0827408 0.696421i −0.000253030 0.00212973i
\(328\) −241.972 142.708i −0.737720 0.435086i
\(329\) 135.733 235.096i 0.412561 0.714577i
\(330\) −275.233 40.6503i −0.834041 0.123183i
\(331\) 79.1577 295.420i 0.239147 0.892509i −0.737088 0.675796i \(-0.763800\pi\)
0.976235 0.216713i \(-0.0695335\pi\)
\(332\) −370.322 374.926i −1.11543 1.12930i
\(333\) 40.9237 66.9149i 0.122894 0.200946i
\(334\) −1.92703 + 623.909i −0.00576954 + 1.86799i
\(335\) −256.006 + 147.805i −0.764197 + 0.441209i
\(336\) −141.041 + 54.3316i −0.419765 + 0.161701i
\(337\) 303.745 526.101i 0.901320 1.56113i 0.0755371 0.997143i \(-0.475933\pi\)
0.825783 0.563989i \(-0.190734\pi\)
\(338\) −167.669 + 288.350i −0.496061 + 0.853108i
\(339\) −486.525 + 194.354i −1.43518 + 0.573317i
\(340\) 5.45804 19.8777i 0.0160531 0.0584639i
\(341\) −502.221 + 502.221i −1.47279 + 1.47279i
\(342\) 159.245 + 4.52053i 0.465629 + 0.0132179i
\(343\) 277.365i 0.808643i
\(344\) −499.937 138.935i −1.45331 0.403882i
\(345\) −141.928 + 106.081i −0.411384 + 0.307480i
\(346\) 57.4551 + 217.105i 0.166055 + 0.627472i
\(347\) 135.853 + 507.010i 0.391507 + 1.46112i 0.827649 + 0.561246i \(0.189678\pi\)
−0.436142 + 0.899878i \(0.643655\pi\)
\(348\) 195.791 22.0360i 0.562617 0.0633217i
\(349\) 138.405 + 37.0856i 0.396577 + 0.106262i 0.451595 0.892223i \(-0.350855\pi\)
−0.0550184 + 0.998485i \(0.517522\pi\)
\(350\) −0.310768 + 100.617i −0.000887908 + 0.287476i
\(351\) −6.76393 + 39.6807i −0.0192705 + 0.113050i
\(352\) −343.860 354.648i −0.976874 1.00752i
\(353\) −17.4894 + 10.0975i −0.0495449 + 0.0286048i −0.524568 0.851369i \(-0.675773\pi\)
0.475023 + 0.879973i \(0.342440\pi\)
\(354\) −152.715 + 17.6657i −0.431399 + 0.0499032i
\(355\) −78.2521 292.041i −0.220428 0.822650i
\(356\) 166.451 284.233i 0.467560 0.798407i
\(357\) 16.0396 + 2.31835i 0.0449288 + 0.00649398i
\(358\) −54.4206 14.7622i −0.152013 0.0412353i
\(359\) 50.9850 0.142020 0.0710098 0.997476i \(-0.477378\pi\)
0.0710098 + 0.997476i \(0.477378\pi\)
\(360\) −101.603 190.926i −0.282230 0.530350i
\(361\) 282.668i 0.783014i
\(362\) 503.888 + 136.686i 1.39196 + 0.377585i
\(363\) 326.777 130.539i 0.900211 0.359612i
\(364\) −18.1676 + 4.74792i −0.0499111 + 0.0130437i
\(365\) 178.787 47.9057i 0.489826 0.131249i
\(366\) −125.436 + 289.845i −0.342722 + 0.791927i
\(367\) 232.484 + 402.673i 0.633470 + 1.09720i 0.986837 + 0.161718i \(0.0517034\pi\)
−0.353367 + 0.935485i \(0.614963\pi\)
\(368\) −314.578 3.88665i −0.854831 0.0105615i
\(369\) 303.100 + 89.4894i 0.821410 + 0.242519i
\(370\) −0.161715 + 52.3581i −0.000437068 + 0.141509i
\(371\) −18.2529 + 68.1208i −0.0491992 + 0.183614i
\(372\) −545.943 82.3563i −1.46759 0.221388i
\(373\) −78.4727 + 21.0267i −0.210383 + 0.0563719i −0.362471 0.931995i \(-0.618067\pi\)
0.152088 + 0.988367i \(0.451400\pi\)
\(374\) 13.5506 + 51.2036i 0.0362316 + 0.136908i
\(375\) −366.686 + 43.5655i −0.977830 + 0.116175i
\(376\) 339.297 + 600.460i 0.902384 + 1.59697i
\(377\) 24.4782 0.0649289
\(378\) 139.031 97.8922i 0.367808 0.258974i
\(379\) 190.483 + 190.483i 0.502594 + 0.502594i 0.912243 0.409649i \(-0.134349\pi\)
−0.409649 + 0.912243i \(0.634349\pi\)
\(380\) −92.4221 + 52.6014i −0.243216 + 0.138425i
\(381\) −291.853 + 370.553i −0.766019 + 0.972580i
\(382\) 120.848 207.829i 0.316355 0.544055i
\(383\) 91.3122 + 52.7191i 0.238413 + 0.137648i 0.614447 0.788958i \(-0.289379\pi\)
−0.376034 + 0.926606i \(0.622712\pi\)
\(384\) 63.1356 378.774i 0.164416 0.986391i
\(385\) 73.0055 + 126.449i 0.189625 + 0.328440i
\(386\) −1.43812 + 465.617i −0.00372570 + 1.20626i
\(387\) 583.558 + 14.7619i 1.50790 + 0.0381444i
\(388\) 619.974 + 3.82978i 1.59787 + 0.00987057i
\(389\) −84.6218 22.6743i −0.217537 0.0582888i 0.148405 0.988927i \(-0.452586\pi\)
−0.365941 + 0.930638i \(0.619253\pi\)
\(390\) −9.89078 24.9832i −0.0253610 0.0640594i
\(391\) 29.2135 + 16.8664i 0.0747149 + 0.0431367i
\(392\) −269.327 158.842i −0.687060 0.405208i
\(393\) −110.584 + 257.706i −0.281383 + 0.655740i
\(394\) 138.952 512.242i 0.352670 1.30011i
\(395\) 166.400 166.400i 0.421266 0.421266i
\(396\) 472.291 + 292.867i 1.19266 + 0.739564i
\(397\) −286.956 + 286.956i −0.722810 + 0.722810i −0.969177 0.246367i \(-0.920763\pi\)
0.246367 + 0.969177i \(0.420763\pi\)
\(398\) −333.201 581.259i −0.837188 1.46045i
\(399\) −50.0536 66.9678i −0.125448 0.167839i
\(400\) −219.786 130.540i −0.549466 0.326351i
\(401\) −274.000 158.194i −0.683292 0.394499i 0.117802 0.993037i \(-0.462415\pi\)
−0.801094 + 0.598538i \(0.795748\pi\)
\(402\) 586.552 67.8508i 1.45908 0.168783i
\(403\) −66.2569 17.7535i −0.164409 0.0440533i
\(404\) 473.113 467.304i 1.17107 1.15669i
\(405\) 163.129 + 180.526i 0.402787 + 0.445744i
\(406\) −72.8892 73.3409i −0.179530 0.180643i
\(407\) −67.2676 116.511i −0.165277 0.286267i
\(408\) −25.7748 + 32.1085i −0.0631736 + 0.0786974i
\(409\) 126.432 + 72.9956i 0.309125 + 0.178473i 0.646535 0.762884i \(-0.276217\pi\)
−0.337410 + 0.941358i \(0.609551\pi\)
\(410\) −203.940 + 53.9710i −0.497414 + 0.131636i
\(411\) 294.890 + 42.6232i 0.717495 + 0.103706i
\(412\) 62.7622 35.7207i 0.152335 0.0867007i
\(413\) 57.0496 + 57.0496i 0.138135 + 0.138135i
\(414\) 344.329 81.8654i 0.831712 0.197743i
\(415\) −395.742 −0.953596
\(416\) 13.0577 45.8856i 0.0313887 0.110302i
\(417\) −226.305 + 527.385i −0.542698 + 1.26471i
\(418\) 137.354 236.216i 0.328598 0.565111i
\(419\) −261.291 + 70.0127i −0.623606 + 0.167095i −0.556767 0.830669i \(-0.687958\pi\)
−0.0668394 + 0.997764i \(0.521292\pi\)
\(420\) −45.4019 + 104.027i −0.108100 + 0.247684i
\(421\) −1.82506 + 6.81122i −0.00433506 + 0.0161787i −0.968059 0.250721i \(-0.919332\pi\)
0.963724 + 0.266899i \(0.0859991\pi\)
\(422\) 123.226 + 123.989i 0.292004 + 0.293814i
\(423\) −534.596 562.345i −1.26382 1.32942i
\(424\) −125.516 127.864i −0.296029 0.301566i
\(425\) 13.7048 + 23.7375i 0.0322467 + 0.0558529i
\(426\) −88.2367 + 597.430i −0.207128 + 1.40242i
\(427\) 160.098 42.8983i 0.374938 0.100464i
\(428\) −29.0097 111.004i −0.0677796 0.259355i
\(429\) 54.2389 + 42.7194i 0.126431 + 0.0995791i
\(430\) −338.058 + 193.788i −0.786180 + 0.450670i
\(431\) 269.780i 0.625940i −0.949763 0.312970i \(-0.898676\pi\)
0.949763 0.312970i \(-0.101324\pi\)
\(432\) 34.7853 + 430.597i 0.0805214 + 0.996753i
\(433\) −605.391 −1.39813 −0.699066 0.715057i \(-0.746401\pi\)
−0.699066 + 0.715057i \(0.746401\pi\)
\(434\) 144.102 + 251.382i 0.332033 + 0.579222i
\(435\) 91.5493 116.236i 0.210458 0.267209i
\(436\) −0.236436 0.904708i −0.000542284 0.00207502i
\(437\) −45.0408 168.095i −0.103068 0.384656i
\(438\) −365.745 54.0183i −0.835034 0.123329i
\(439\) 63.3543 36.5776i 0.144315 0.0833204i −0.426104 0.904674i \(-0.640114\pi\)
0.570419 + 0.821354i \(0.306781\pi\)
\(440\) −370.943 3.43721i −0.843052 0.00781183i
\(441\) 337.367 + 99.6064i 0.765003 + 0.225865i
\(442\) −3.62827 + 3.60592i −0.00820875 + 0.00815820i
\(443\) 244.083 + 65.4019i 0.550978 + 0.147634i 0.523558 0.851990i \(-0.324604\pi\)
0.0274196 + 0.999624i \(0.491271\pi\)
\(444\) 41.8335 95.8513i 0.0942196 0.215881i
\(445\) −64.0203 238.927i −0.143866 0.536915i
\(446\) 241.722 + 140.555i 0.541977 + 0.315146i
\(447\) 94.1548 + 40.4025i 0.210637 + 0.0903859i
\(448\) −176.363 + 97.5113i −0.393668 + 0.217659i
\(449\) 389.654i 0.867827i −0.900954 0.433914i \(-0.857132\pi\)
0.900954 0.433914i \(-0.142868\pi\)
\(450\) 275.561 + 82.2846i 0.612357 + 0.182855i
\(451\) 383.297 383.297i 0.849883 0.849883i
\(452\) −607.103 + 345.529i −1.34315 + 0.764444i
\(453\) −53.7117 + 371.606i −0.118569 + 0.820323i
\(454\) −36.1858 136.735i −0.0797045 0.301179i
\(455\) −7.05071 + 12.2122i −0.0154961 + 0.0268400i
\(456\) 211.152 23.1047i 0.463053 0.0506682i
\(457\) −386.628 + 223.220i −0.846013 + 0.488446i −0.859304 0.511466i \(-0.829103\pi\)
0.0132905 + 0.999912i \(0.495769\pi\)
\(458\) 264.050 262.424i 0.576529 0.572979i
\(459\) 19.3365 42.0917i 0.0421275 0.0917031i
\(460\) −168.086 + 166.022i −0.365404 + 0.360917i
\(461\) −45.8834 + 171.239i −0.0995301 + 0.371451i −0.997667 0.0682640i \(-0.978254\pi\)
0.898137 + 0.439715i \(0.144921\pi\)
\(462\) −33.5136 289.716i −0.0725402 0.627091i
\(463\) −107.293 + 185.837i −0.231735 + 0.401376i −0.958319 0.285701i \(-0.907773\pi\)
0.726584 + 0.687078i \(0.241107\pi\)
\(464\) 254.572 64.8523i 0.548646 0.139768i
\(465\) −332.107 + 248.226i −0.714208 + 0.533819i
\(466\) 517.499 296.651i 1.11051 0.636589i
\(467\) −391.382 391.382i −0.838078 0.838078i 0.150528 0.988606i \(-0.451903\pi\)
−0.988606 + 0.150528i \(0.951903\pi\)
\(468\) −1.68864 + 53.6442i −0.00360821 + 0.114624i
\(469\) −219.117 219.117i −0.467201 0.467201i
\(470\) 499.868 + 135.595i 1.06355 + 0.288501i
\(471\) −112.905 48.4485i −0.239714 0.102863i
\(472\) −198.477 + 51.2155i −0.420502 + 0.108507i
\(473\) 500.619 867.098i 1.05839 1.83319i
\(474\) −437.043 + 173.024i −0.922032 + 0.365031i
\(475\) 36.5980 136.586i 0.0770484 0.287549i
\(476\) 21.6080 + 0.133479i 0.0453949 + 0.000280419i
\(477\) 171.961 + 105.168i 0.360506 + 0.220478i
\(478\) −806.743 2.49173i −1.68775 0.00521283i
\(479\) 35.9850 20.7760i 0.0751253 0.0433736i −0.461967 0.886897i \(-0.652856\pi\)
0.537092 + 0.843524i \(0.319523\pi\)
\(480\) −169.054 233.619i −0.352195 0.486706i
\(481\) 6.49655 11.2524i 0.0135063 0.0233937i
\(482\) −48.1389 27.9916i −0.0998733 0.0580739i
\(483\) −145.918 114.927i −0.302108 0.237945i
\(484\) 407.764 232.076i 0.842487 0.479496i
\(485\) 329.219 329.219i 0.678802 0.678802i
\(486\) −155.821 460.343i −0.320619 0.947208i
\(487\) 541.550i 1.11201i −0.831178 0.556007i \(-0.812333\pi\)
0.831178 0.556007i \(-0.187667\pi\)
\(488\) −112.752 + 405.722i −0.231050 + 0.831398i
\(489\) −35.0852 295.309i −0.0717489 0.603904i
\(490\) −226.996 + 60.0725i −0.463256 + 0.122597i
\(491\) −25.9694 96.9192i −0.0528909 0.197391i 0.934425 0.356160i \(-0.115914\pi\)
−0.987316 + 0.158769i \(0.949248\pi\)
\(492\) 416.666 + 62.8546i 0.846882 + 0.127753i
\(493\) −27.2082 7.29042i −0.0551891 0.0147879i
\(494\) 26.3895 + 0.0815076i 0.0534201 + 0.000164995i
\(495\) 405.711 97.7842i 0.819619 0.197544i
\(496\) −736.104 9.09465i −1.48408 0.0183360i
\(497\) 274.474 158.468i 0.552262 0.318849i
\(498\) 725.450 + 313.953i 1.45673 + 0.630427i
\(499\) 136.854 + 510.748i 0.274257 + 1.02354i 0.956337 + 0.292265i \(0.0944088\pi\)
−0.682080 + 0.731277i \(0.738924\pi\)
\(500\) −476.355 + 124.490i −0.952710 + 0.248981i
\(501\) −347.179 869.089i −0.692973 1.73471i
\(502\) 38.4866 141.879i 0.0766665 0.282628i
\(503\) 267.844 0.532493 0.266247 0.963905i \(-0.414216\pi\)
0.266247 + 0.963905i \(0.414216\pi\)
\(504\) 165.756 154.678i 0.328880 0.306901i
\(505\) 499.381i 0.988873i
\(506\) 158.928 585.883i 0.314087 1.15787i
\(507\) 71.5739 495.186i 0.141171 0.976699i
\(508\) −317.816 + 542.703i −0.625622 + 1.06831i
\(509\) 768.693 205.971i 1.51020 0.404658i 0.593700 0.804687i \(-0.297667\pi\)
0.916502 + 0.400029i \(0.131000\pi\)
\(510\) 3.55307 + 30.7153i 0.00696681 + 0.0602261i
\(511\) 97.0136 + 168.033i 0.189851 + 0.328831i
\(512\) 14.2305 511.802i 0.0277940 0.999614i
\(513\) −224.084 + 83.0084i −0.436810 + 0.161810i
\(514\) 177.383 + 0.547870i 0.345103 + 0.00106590i
\(515\) 14.0360 52.3832i 0.0272544 0.101715i
\(516\) 773.443 87.0499i 1.49892 0.168701i
\(517\) −1285.48 + 344.444i −2.48643 + 0.666236i
\(518\) −53.0590 + 14.0416i −0.102430 + 0.0271074i
\(519\) −201.677 269.828i −0.388587 0.519899i
\(520\) −17.6249 31.1912i −0.0338941 0.0599831i
\(521\) −182.164 −0.349643 −0.174821 0.984600i \(-0.555935\pi\)
−0.174821 + 0.984600i \(0.555935\pi\)
\(522\) −260.035 + 140.448i −0.498152 + 0.269057i
\(523\) 11.9498 + 11.9498i 0.0228486 + 0.0228486i 0.718439 0.695590i \(-0.244857\pi\)
−0.695590 + 0.718439i \(0.744857\pi\)
\(524\) −99.0034 + 360.562i −0.188938 + 0.688095i
\(525\) −55.9889 140.156i −0.106646 0.266965i
\(526\) 787.077 + 457.666i 1.49634 + 0.870088i
\(527\) 68.3589 + 39.4670i 0.129713 + 0.0748900i
\(528\) 677.262 + 300.579i 1.28269 + 0.569279i
\(529\) 71.1908 + 123.306i 0.134576 + 0.233093i
\(530\) −134.553 0.415584i −0.253873 0.000784120i
\(531\) 202.558 110.213i 0.381465 0.207558i
\(532\) −78.3365 79.3104i −0.147249 0.149080i
\(533\) 50.5675 + 13.5495i 0.0948734 + 0.0254212i
\(534\) −72.1891 + 488.775i −0.135186 + 0.915309i
\(535\) −74.6162 43.0797i −0.139470 0.0805228i
\(536\) 762.313 196.709i 1.42223 0.366995i
\(537\) 83.9902 9.97875i 0.156406 0.0185824i
\(538\) −739.514 200.602i −1.37456 0.372867i
\(539\) 426.630 426.630i 0.791521 0.791521i
\(540\) 248.417 + 208.650i 0.460031 + 0.386389i
\(541\) −5.36536 + 5.36536i −0.00991749 + 0.00991749i −0.712048 0.702131i \(-0.752232\pi\)
0.702131 + 0.712048i \(0.252232\pi\)
\(542\) 405.221 232.289i 0.747641 0.428577i
\(543\) −777.678 + 92.3948i −1.43219 + 0.170156i
\(544\) −28.1803 + 47.1141i −0.0518020 + 0.0866068i
\(545\) −0.608140 0.351110i −0.00111585 0.000644238i
\(546\) 22.6132 16.7931i 0.0414160 0.0307566i
\(547\) 765.138 + 205.018i 1.39879 + 0.374805i 0.877910 0.478825i \(-0.158937\pi\)
0.520880 + 0.853630i \(0.325604\pi\)
\(548\) 397.265 + 2.45404i 0.724937 + 0.00447817i
\(549\) 11.9800 473.584i 0.0218214 0.862630i
\(550\) 349.866 347.712i 0.636120 0.632203i
\(551\) 72.6579 + 125.847i 0.131866 + 0.228398i
\(552\) 439.833 170.994i 0.796799 0.309771i
\(553\) 213.634 + 123.342i 0.386318 + 0.223041i
\(554\) 189.105 + 714.569i 0.341344 + 1.28984i
\(555\) −29.1351 72.9335i −0.0524957 0.131412i
\(556\) −202.607 + 737.875i −0.364400 + 1.32711i
\(557\) −395.606 395.606i −0.710245 0.710245i 0.256342 0.966586i \(-0.417483\pi\)
−0.966586 + 0.256342i \(0.917483\pi\)
\(558\) 805.721 191.563i 1.44394 0.343303i
\(559\) 96.6975 0.172983
\(560\) −40.9721 + 145.686i −0.0731645 + 0.260154i
\(561\) −47.5649 63.6381i −0.0847858 0.113437i
\(562\) −184.771 107.440i −0.328774 0.191174i
\(563\) −536.354 + 143.715i −0.952671 + 0.255267i −0.701495 0.712674i \(-0.747484\pi\)
−0.251175 + 0.967942i \(0.580817\pi\)
\(564\) −808.754 645.123i −1.43396 1.14383i
\(565\) −135.771 + 506.706i −0.240304 + 0.896825i
\(566\) −272.122 + 270.446i −0.480781 + 0.477820i
\(567\) −138.533 + 214.154i −0.244326 + 0.377697i
\(568\) −7.46090 + 805.180i −0.0131354 + 1.41757i
\(569\) 172.546 + 298.859i 0.303244 + 0.525235i 0.976869 0.213839i \(-0.0685968\pi\)
−0.673625 + 0.739074i \(0.735263\pi\)
\(570\) 99.0850 125.007i 0.173833 0.219311i
\(571\) −633.665 + 169.790i −1.10975 + 0.297355i −0.766727 0.641973i \(-0.778116\pi\)
−0.343018 + 0.939329i \(0.611449\pi\)
\(572\) 79.4371 + 46.5196i 0.138876 + 0.0813280i
\(573\) −51.5870 + 356.906i −0.0900296 + 0.622873i
\(574\) −109.979 191.856i −0.191602 0.334244i
\(575\) 314.147i 0.546343i
\(576\) 124.563 + 562.370i 0.216255 + 0.976337i
\(577\) 719.179 1.24641 0.623205 0.782059i \(-0.285830\pi\)
0.623205 + 0.782059i \(0.285830\pi\)
\(578\) −496.346 + 284.525i −0.858730 + 0.492258i
\(579\) −259.096 648.592i −0.447489 1.12019i
\(580\) 99.6933 170.237i 0.171885 0.293511i
\(581\) −107.369 400.708i −0.184801 0.689687i
\(582\) −864.681 + 342.325i −1.48571 + 0.588188i
\(583\) 299.416 172.868i 0.513577 0.296514i
\(584\) −492.929 4.56754i −0.844056 0.00782114i
\(585\) 27.7699 + 29.2113i 0.0474699 + 0.0499339i
\(586\) −378.092 380.435i −0.645209 0.649207i
\(587\) −599.384 160.604i −1.02110 0.273602i −0.290838 0.956772i \(-0.593934\pi\)
−0.730259 + 0.683170i \(0.760601\pi\)
\(588\) 463.771 + 69.9605i 0.788726 + 0.118980i
\(589\) −105.394 393.337i −0.178938 0.667805i
\(590\) −77.3769 + 133.070i −0.131147 + 0.225542i
\(591\) 93.9265 + 790.571i 0.158928 + 1.33768i
\(592\) 37.7519 134.236i 0.0637701 0.226750i
\(593\) 212.922i 0.359060i −0.983753 0.179530i \(-0.942542\pi\)
0.983753 0.179530i \(-0.0574577\pi\)
\(594\) −821.298 142.609i −1.38266 0.240083i
\(595\) 11.4743 11.4743i 0.0192845 0.0192845i
\(596\) 131.734 + 36.1716i 0.221030 + 0.0606906i
\(597\) 789.507 + 621.828i 1.32246 + 1.04159i
\(598\) 56.6770 14.9991i 0.0947777 0.0250821i
\(599\) −390.121 + 675.709i −0.651287 + 1.12806i 0.331524 + 0.943447i \(0.392437\pi\)
−0.982811 + 0.184615i \(0.940896\pi\)
\(600\) 378.977 + 58.3669i 0.631628 + 0.0972782i
\(601\) −891.314 + 514.601i −1.48305 + 0.856241i −0.999815 0.0192489i \(-0.993873\pi\)
−0.483237 + 0.875489i \(0.660539\pi\)
\(602\) −287.938 289.723i −0.478303 0.481267i
\(603\) −777.987 + 423.309i −1.29019 + 0.702004i
\(604\) −3.09246 + 500.614i −0.00511996 + 0.828832i
\(605\) 91.1915 340.331i 0.150730 0.562531i
\(606\) −396.172 + 915.433i −0.653749 + 1.51062i
\(607\) −143.898 + 249.238i −0.237064 + 0.410606i −0.959870 0.280444i \(-0.909518\pi\)
0.722807 + 0.691050i \(0.242852\pi\)
\(608\) 274.666 69.0686i 0.451753 0.113600i
\(609\) 142.533 + 61.1619i 0.234044 + 0.100430i
\(610\) 157.268 + 274.349i 0.257816 + 0.449753i
\(611\) −90.8834 90.8834i −0.148745 0.148745i
\(612\) 17.8540 59.1241i 0.0291732 0.0966080i
\(613\) 767.616 + 767.616i 1.25223 + 1.25223i 0.954719 + 0.297510i \(0.0961561\pi\)
0.297510 + 0.954719i \(0.403844\pi\)
\(614\) −117.014 + 431.368i −0.190576 + 0.702554i
\(615\) 253.465 189.447i 0.412138 0.308044i
\(616\) −97.1607 376.530i −0.157728 0.611250i
\(617\) −175.187 + 303.433i −0.283933 + 0.491787i −0.972350 0.233528i \(-0.924973\pi\)
0.688417 + 0.725316i \(0.258306\pi\)
\(618\) −67.2869 + 84.8903i −0.108878 + 0.137363i
\(619\) −73.8523 + 275.620i −0.119309 + 0.445267i −0.999573 0.0292168i \(-0.990699\pi\)
0.880264 + 0.474484i \(0.157365\pi\)
\(620\) −393.316 + 388.487i −0.634381 + 0.626592i
\(621\) −433.138 + 306.979i −0.697485 + 0.494330i
\(622\) 0.981576 317.803i 0.00157810 0.510937i
\(623\) 224.556 129.647i 0.360443 0.208102i
\(624\) 7.56413 + 71.1601i 0.0121220 + 0.114039i
\(625\) 14.8415 25.7062i 0.0237464 0.0411300i
\(626\) 273.906 471.054i 0.437550 0.752482i
\(627\) −58.6333 + 405.656i −0.0935140 + 0.646979i
\(628\) −157.968 43.3750i −0.251542 0.0690685i
\(629\) −10.5724 + 10.5724i −0.0168083 + 0.0168083i
\(630\) 4.83113 170.187i 0.00766846 0.270138i
\(631\) 1150.03i 1.82255i 0.411800 + 0.911274i \(0.364900\pi\)
−0.411800 + 0.911274i \(0.635100\pi\)
\(632\) −545.644 + 308.322i −0.863361 + 0.487852i
\(633\) −240.964 103.400i −0.380671 0.163349i
\(634\) −168.869 638.105i −0.266355 1.00648i
\(635\) 122.238 + 456.199i 0.192501 + 0.718423i
\(636\) 246.324 + 107.506i 0.387301 + 0.169035i
\(637\) 56.2843 + 15.0813i 0.0883584 + 0.0236756i
\(638\) −1.56565 + 506.909i −0.00245400 + 0.794528i
\(639\) −212.253 880.649i −0.332165 1.37817i
\(640\) −265.936 277.692i −0.415525 0.433893i
\(641\) 564.053 325.656i 0.879957 0.508044i 0.00931304 0.999957i \(-0.497036\pi\)
0.870644 + 0.491913i \(0.163702\pi\)
\(642\) 102.605 + 138.166i 0.159822 + 0.215212i
\(643\) 324.087 + 1209.51i 0.504023 + 1.88104i 0.472092 + 0.881549i \(0.343499\pi\)
0.0319305 + 0.999490i \(0.489834\pi\)
\(644\) −213.708 125.151i −0.331845 0.194334i
\(645\) 361.652 459.173i 0.560701 0.711897i
\(646\) −29.3085 7.95028i −0.0453692 0.0123069i
\(647\) 739.809 1.14344 0.571722 0.820447i \(-0.306275\pi\)
0.571722 + 0.820447i \(0.306275\pi\)
\(648\) −289.854 579.559i −0.447306 0.894381i
\(649\) 395.526i 0.609440i
\(650\) 45.9768 + 12.4718i 0.0707336 + 0.0191874i
\(651\) −341.445 268.927i −0.524493 0.413099i
\(652\) −100.258 383.630i −0.153769 0.588390i
\(653\) 433.627 116.190i 0.664053 0.177933i 0.0889787 0.996034i \(-0.471640\pi\)
0.575075 + 0.818101i \(0.304973\pi\)
\(654\) 0.836259 + 1.12608i 0.00127868 + 0.00172184i
\(655\) 140.395 + 243.171i 0.214344 + 0.371254i
\(656\) 561.797 + 6.94107i 0.856398 + 0.0105809i
\(657\) 539.131 129.941i 0.820595 0.197779i
\(658\) −1.67691 + 542.928i −0.00254849 + 0.825119i
\(659\) −260.825 + 973.413i −0.395790 + 1.47711i 0.424642 + 0.905361i \(0.360400\pi\)
−0.820431 + 0.571745i \(0.806267\pi\)
\(660\) 517.999 203.226i 0.784847 0.307918i
\(661\) 426.457 114.269i 0.645170 0.172873i 0.0786260 0.996904i \(-0.474947\pi\)
0.566544 + 0.824031i \(0.308280\pi\)
\(662\) 156.490 + 591.327i 0.236389 + 0.893243i
\(663\) 3.02576 7.05128i 0.00456374 0.0106354i
\(664\) 1015.48 + 282.206i 1.52933 + 0.425009i
\(665\) −83.7138 −0.125885
\(666\) −4.45142 + 156.811i −0.00668382 + 0.235451i
\(667\) 228.281 + 228.281i 0.342251 + 0.342251i
\(668\) −617.225 1084.48i −0.923989 1.62347i
\(669\) −415.110 59.9998i −0.620494 0.0896857i
\(670\) 297.190 511.097i 0.443568 0.762831i
\(671\) −703.691 406.276i −1.04872 0.605478i
\(672\) 190.684 234.558i 0.283756 0.349045i
\(673\) −168.735 292.258i −0.250721 0.434261i 0.713004 0.701160i \(-0.247334\pi\)
−0.963724 + 0.266899i \(0.914001\pi\)
\(674\) −3.75261 + 1214.97i −0.00556766 + 1.80263i
\(675\) −429.513 + 40.0443i −0.636316 + 0.0593250i
\(676\) 4.12087 667.097i 0.00609596 0.986829i
\(677\) 779.175 + 208.779i 1.15092 + 0.308389i 0.783335 0.621600i \(-0.213517\pi\)
0.367588 + 0.929989i \(0.380184\pi\)
\(678\) 650.871 821.150i 0.959986 1.21114i
\(679\) 422.671 + 244.029i 0.622490 + 0.359395i
\(680\) 10.3009 + 39.9193i 0.0151483 + 0.0587048i
\(681\) 127.018 + 169.940i 0.186517 + 0.249545i
\(682\) 371.887 1370.95i 0.545290 2.01019i
\(683\) 0.155247 0.155247i 0.000227302 0.000227302i −0.706993 0.707220i \(-0.749949\pi\)
0.707220 + 0.706993i \(0.249949\pi\)
\(684\) −280.808 + 150.549i −0.410538 + 0.220101i
\(685\) 210.956 210.956i 0.307965 0.307965i
\(686\) −275.879 481.264i −0.402157 0.701551i
\(687\) −220.202 + 513.163i −0.320527 + 0.746963i
\(688\) 1005.65 256.190i 1.46170 0.372369i
\(689\) 28.9169 + 16.6952i 0.0419694 + 0.0242310i
\(690\) 140.750 325.231i 0.203986 0.471350i
\(691\) −1128.21 302.302i −1.63271 0.437484i −0.678013 0.735050i \(-0.737159\pi\)
−0.954701 + 0.297566i \(0.903825\pi\)
\(692\) −315.635 319.559i −0.456120 0.461790i
\(693\) 209.085 + 384.272i 0.301710 + 0.554505i
\(694\) −740.018 744.603i −1.06631 1.07292i
\(695\) 287.313 + 497.641i 0.413400 + 0.716030i
\(696\) −317.805 + 232.978i −0.456616 + 0.334738i
\(697\) −52.1718 30.1214i −0.0748519 0.0432158i
\(698\) −277.038 + 73.3159i −0.396903 + 0.105037i
\(699\) −553.617 + 702.903i −0.792013 + 1.00558i
\(700\) −99.5387 174.892i −0.142198 0.249846i
\(701\) −272.730 272.730i −0.389059 0.389059i 0.485293 0.874352i \(-0.338713\pi\)
−0.874352 + 0.485293i \(0.838713\pi\)
\(702\) −27.7319 75.5789i −0.0395042 0.107662i
\(703\) 77.1342 0.109721
\(704\) 949.390 + 273.342i 1.34857 + 0.388269i
\(705\) −771.473 + 91.6575i −1.09429 + 0.130011i
\(706\) 20.3029 34.9162i 0.0287577 0.0494563i
\(707\) 505.647 135.488i 0.715201 0.191637i
\(708\) 247.410 182.550i 0.349449 0.257839i
\(709\) 350.567 1308.33i 0.494453 1.84532i −0.0386190 0.999254i \(-0.512296\pi\)
0.533072 0.846070i \(-0.321037\pi\)
\(710\) 426.255 + 428.896i 0.600359 + 0.604079i
\(711\) 511.009 485.793i 0.718718 0.683253i
\(712\) −6.10398 + 658.741i −0.00857301 + 0.925199i
\(713\) −452.339 783.473i −0.634416 1.09884i
\(714\) −30.1367 + 11.9311i −0.0422083 + 0.0167102i
\(715\) 66.7751 17.8923i 0.0933918 0.0250242i
\(716\) 109.110 28.5147i 0.152388 0.0398251i
\(717\) 1123.77 448.919i 1.56732 0.626107i
\(718\) −88.4657 + 50.7121i −0.123211 + 0.0706296i
\(719\) 419.941i 0.584062i 0.956409 + 0.292031i \(0.0943311\pi\)
−0.956409 + 0.292031i \(0.905669\pi\)
\(720\) 366.198 + 230.223i 0.508608 + 0.319754i
\(721\) 56.8486 0.0788468
\(722\) −281.155 490.466i −0.389411 0.679316i
\(723\) 82.6693 + 11.9490i 0.114342 + 0.0165269i
\(724\) −1010.27 + 264.022i −1.39540 + 0.364672i
\(725\) 67.8942 + 253.385i 0.0936471 + 0.349496i
\(726\) −437.160 + 551.529i −0.602149 + 0.759682i
\(727\) 363.290 209.746i 0.499711 0.288508i −0.228883 0.973454i \(-0.573507\pi\)
0.728594 + 0.684945i \(0.240174\pi\)
\(728\) 26.8007 26.3086i 0.0368142 0.0361382i
\(729\) 474.924 + 553.071i 0.651474 + 0.758671i
\(730\) −262.569 + 260.952i −0.359684 + 0.357469i
\(731\) −107.482 28.7997i −0.147034 0.0393977i
\(732\) −70.6450 627.685i −0.0965096 0.857493i
\(733\) −113.757 424.547i −0.155194 0.579191i −0.999089 0.0426826i \(-0.986410\pi\)
0.843895 0.536509i \(-0.180257\pi\)
\(734\) −803.907 467.452i −1.09524 0.636856i
\(735\) 282.120 210.864i 0.383837 0.286890i
\(736\) 549.700 306.150i 0.746874 0.415964i
\(737\) 1519.14i 2.06125i
\(738\) −614.929 + 146.202i −0.833237 + 0.198105i
\(739\) 545.397 545.397i 0.738020 0.738020i −0.234174 0.972195i \(-0.575239\pi\)
0.972195 + 0.234174i \(0.0752386\pi\)
\(740\) −51.7972 91.0091i −0.0699962 0.122985i
\(741\) −36.7599 + 14.6847i −0.0496086 + 0.0198174i
\(742\) −36.0849 136.354i −0.0486319 0.183765i
\(743\) −63.0928 + 109.280i −0.0849163 + 0.147079i −0.905356 0.424654i \(-0.860396\pi\)
0.820439 + 0.571734i \(0.193729\pi\)
\(744\) 1029.20 400.121i 1.38333 0.537797i
\(745\) 88.8444 51.2944i 0.119254 0.0688515i
\(746\) 115.246 114.537i 0.154486 0.153534i
\(747\) −1185.33 29.9845i −1.58678 0.0401399i
\(748\) −74.4415 75.3670i −0.0995208 0.100758i
\(749\) 23.3760 87.2405i 0.0312096 0.116476i
\(750\) 592.917 440.315i 0.790556 0.587086i
\(751\) 581.401 1007.02i 0.774170 1.34090i −0.161090 0.986940i \(-0.551501\pi\)
0.935260 0.353962i \(-0.115166\pi\)
\(752\) −1185.97 704.397i −1.57709 0.936698i
\(753\) 26.0155 + 218.970i 0.0345492 + 0.290797i
\(754\) −42.4729 + 24.3471i −0.0563300 + 0.0322906i
\(755\) 265.837 + 265.837i 0.352102 + 0.352102i
\(756\) −143.870 + 308.143i −0.190304 + 0.407596i
\(757\) 1014.37 + 1014.37i 1.33998 + 1.33998i 0.896071 + 0.443910i \(0.146409\pi\)
0.443910 + 0.896071i \(0.353591\pi\)
\(758\) −519.977 141.050i −0.685985 0.186082i
\(759\) 107.430 + 904.225i 0.141541 + 1.19134i
\(760\) 108.045 183.198i 0.142164 0.241049i
\(761\) 231.849 401.574i 0.304663 0.527693i −0.672523 0.740076i \(-0.734789\pi\)
0.977186 + 0.212384i \(0.0681227\pi\)
\(762\) 137.835 933.249i 0.180886 1.22474i
\(763\) 0.190520 0.711030i 0.000249699 0.000931888i
\(764\) −2.97012 + 480.811i −0.00388760 + 0.629334i
\(765\) −22.1670 40.7400i −0.0289764 0.0532550i
\(766\) −210.876 0.651317i −0.275294 0.000850283i
\(767\) 33.0814 19.0995i 0.0431309 0.0249016i
\(768\) 267.198 + 720.020i 0.347913 + 0.937527i
\(769\) −95.9642 + 166.215i −0.124791 + 0.216144i −0.921651 0.388019i \(-0.873159\pi\)
0.796860 + 0.604164i \(0.206493\pi\)
\(770\) −252.446 146.791i −0.327852 0.190638i
\(771\) −247.090 + 98.7061i −0.320479 + 0.128023i
\(772\) −460.628 809.336i −0.596669 1.04836i
\(773\) 125.303 125.303i 0.162100 0.162100i −0.621397