Properties

Label 224.3.v.b.13.18
Level 224
Weight 3
Character 224.13
Analytic conductor 6.104
Analytic rank 0
Dimension 240
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 224 = 2^{5} \cdot 7 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 224.v (of order \(8\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.10355792167\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(60\) over \(\Q(\zeta_{8})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 13.18
Character \(\chi\) \(=\) 224.13
Dual form 224.3.v.b.69.18

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.33217 - 1.49175i) q^{2} +(2.62896 + 1.08895i) q^{3} +(-0.450649 + 3.97453i) q^{4} +(-2.38974 - 5.76934i) q^{5} +(-1.87778 - 5.37243i) q^{6} +(-5.98528 + 3.62994i) q^{7} +(6.52936 - 4.62250i) q^{8} +(-0.638332 - 0.638332i) q^{9} +O(q^{10})\) \(q+(-1.33217 - 1.49175i) q^{2} +(2.62896 + 1.08895i) q^{3} +(-0.450649 + 3.97453i) q^{4} +(-2.38974 - 5.76934i) q^{5} +(-1.87778 - 5.37243i) q^{6} +(-5.98528 + 3.62994i) q^{7} +(6.52936 - 4.62250i) q^{8} +(-0.638332 - 0.638332i) q^{9} +(-5.42289 + 11.2506i) q^{10} +(-4.95364 - 11.9592i) q^{11} +(-5.51282 + 9.95817i) q^{12} +(-6.06710 + 14.6473i) q^{13} +(13.3884 + 4.09286i) q^{14} -17.7697i q^{15} +(-15.5938 - 3.58224i) q^{16} -8.22837 q^{17} +(-0.101867 + 1.80260i) q^{18} +(8.30680 - 20.0544i) q^{19} +(24.0074 - 6.89815i) q^{20} +(-19.6879 + 3.02529i) q^{21} +(-11.2410 + 23.3212i) q^{22} +(-26.4453 - 26.4453i) q^{23} +(22.1991 - 5.04221i) q^{24} +(-9.89676 + 9.89676i) q^{25} +(29.9325 - 10.4620i) q^{26} +(-10.7836 - 26.0339i) q^{27} +(-11.7300 - 25.4245i) q^{28} +(7.68667 - 18.5573i) q^{29} +(-26.5080 + 23.6722i) q^{30} +59.4680i q^{31} +(15.4298 + 28.0343i) q^{32} -36.8344i q^{33} +(10.9616 + 12.2747i) q^{34} +(35.2456 + 25.8565i) q^{35} +(2.82473 - 2.24941i) q^{36} +(-20.1216 + 8.33464i) q^{37} +(-40.9823 + 14.3242i) q^{38} +(-31.9004 + 31.9004i) q^{39} +(-42.2722 - 26.6235i) q^{40} +(-24.3694 + 24.3694i) q^{41} +(30.7406 + 25.3393i) q^{42} +(-14.7173 - 35.5306i) q^{43} +(49.7644 - 14.2990i) q^{44} +(-2.15731 + 5.20820i) q^{45} +(-4.22021 + 74.6794i) q^{46} +5.31825 q^{47} +(-37.0947 - 26.3985i) q^{48} +(22.6471 - 43.4524i) q^{49} +(27.9477 + 1.57935i) q^{50} +(-21.6321 - 8.96030i) q^{51} +(-55.4820 - 30.7147i) q^{52} +(15.0826 + 36.4126i) q^{53} +(-24.4706 + 50.7681i) q^{54} +(-57.1585 + 57.1585i) q^{55} +(-22.3007 + 51.3681i) q^{56} +(43.6766 - 43.6766i) q^{57} +(-37.9228 + 13.2548i) q^{58} +(-6.55591 - 15.8274i) q^{59} +(70.6262 + 8.00789i) q^{60} +(86.2481 + 35.7251i) q^{61} +(88.7115 - 79.2215i) q^{62} +(6.13770 + 1.50349i) q^{63} +(21.2651 - 60.3639i) q^{64} +99.0039 q^{65} +(-54.9479 + 49.0697i) q^{66} +(3.59372 - 8.67602i) q^{67} +(3.70811 - 32.7039i) q^{68} +(-40.7260 - 98.3213i) q^{69} +(-8.38161 - 87.0229i) q^{70} +(22.3288 - 22.3288i) q^{71} +(-7.11858 - 1.21721i) q^{72} +(92.1045 - 92.1045i) q^{73} +(39.2386 + 18.9133i) q^{74} +(-36.7953 + 15.2411i) q^{75} +(75.9634 + 42.0532i) q^{76} +(73.0599 + 53.5974i) q^{77} +(90.0842 + 5.09075i) q^{78} -125.782i q^{79} +(16.5980 + 98.5267i) q^{80} -72.0604i q^{81} +(68.8173 + 3.88894i) q^{82} +(-9.80373 + 23.6683i) q^{83} +(-3.15178 - 79.6136i) q^{84} +(19.6637 + 47.4723i) q^{85} +(-33.3970 + 69.2873i) q^{86} +(40.4159 - 40.4159i) q^{87} +(-87.6252 - 55.1874i) q^{88} +(22.0951 + 22.0951i) q^{89} +(10.6432 - 3.72004i) q^{90} +(-16.8554 - 109.691i) q^{91} +(117.025 - 93.1901i) q^{92} +(-64.7578 + 156.339i) q^{93} +(-7.08481 - 7.93351i) q^{94} -135.552 q^{95} +(10.0364 + 90.5034i) q^{96} +126.184i q^{97} +(-94.9900 + 24.1020i) q^{98} +(-4.47184 + 10.7960i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q - 8q^{2} - 8q^{4} - 4q^{7} - 8q^{8} - 8q^{9} + O(q^{10}) \) \( 240q - 8q^{2} - 8q^{4} - 4q^{7} - 8q^{8} - 8q^{9} - 8q^{11} + 12q^{14} - 112q^{16} - 176q^{18} - 4q^{21} - 192q^{22} + 128q^{23} - 8q^{25} + 56q^{28} - 8q^{29} - 16q^{30} - 8q^{32} + 92q^{35} + 192q^{36} - 8q^{37} - 8q^{39} - 424q^{42} + 128q^{43} - 16q^{44} - 8q^{46} - 320q^{50} - 80q^{51} - 192q^{53} + 608q^{56} - 8q^{57} - 712q^{58} + 264q^{60} + 496q^{63} - 272q^{64} - 16q^{65} + 304q^{67} + 320q^{70} + 504q^{71} - 8q^{72} + 232q^{74} + 164q^{77} + 560q^{78} - 1000q^{84} - 208q^{85} - 8q^{86} - 800q^{88} + 188q^{91} + 1560q^{92} + 64q^{93} - 16q^{95} - 376q^{98} + 64q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(129\) \(197\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{7}{8}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.33217 1.49175i −0.666085 0.745876i
\(3\) 2.62896 + 1.08895i 0.876321 + 0.362984i 0.775069 0.631877i \(-0.217715\pi\)
0.101252 + 0.994861i \(0.467715\pi\)
\(4\) −0.450649 + 3.97453i −0.112662 + 0.993633i
\(5\) −2.38974 5.76934i −0.477948 1.15387i −0.960570 0.278039i \(-0.910315\pi\)
0.482622 0.875829i \(1.66032\pi\)
\(6\) −1.87778 5.37243i −0.312963 0.895405i
\(7\) −5.98528 + 3.62994i −0.855040 + 0.518562i
\(8\) 6.52936 4.62250i 0.816170 0.577812i
\(9\) −0.638332 0.638332i −0.0709257 0.0709257i
\(10\) −5.42289 + 11.2506i −0.542289 + 1.12506i
\(11\) −4.95364 11.9592i −0.450331 1.08720i −0.972196 0.234167i \(-0.924764\pi\)
0.521865 0.853028i \(-0.325236\pi\)
\(12\) −5.51282 + 9.95817i −0.459401 + 0.829847i
\(13\) −6.06710 + 14.6473i −0.466700 + 1.12671i 0.498895 + 0.866663i \(0.333740\pi\)
−0.965595 + 0.260051i \(0.916260\pi\)
\(14\) 13.3884 + 4.09286i 0.956312 + 0.292347i
\(15\) 17.7697i 1.18465i
\(16\) −15.5938 3.58224i −0.974614 0.223890i
\(17\) −8.22837 −0.484022 −0.242011 0.970274i \(-0.577807\pi\)
−0.242011 + 0.970274i \(0.577807\pi\)
\(18\) −0.101867 + 1.80260i −0.00565926 + 0.100144i
\(19\) 8.30680 20.0544i 0.437200 1.05549i −0.539711 0.841850i \(-0.681467\pi\)
0.976912 0.213644i \(-0.0685334\pi\)
\(20\) 24.0074 6.89815i 1.20037 0.344907i
\(21\) −19.6879 + 3.02529i −0.937519 + 0.144061i
\(22\) −11.2410 + 23.3212i −0.510954 + 1.06006i
\(23\) −26.4453 26.4453i −1.14979 1.14979i −0.986593 0.163202i \(-0.947818\pi\)
−0.163202 0.986593i \(-0.552182\pi\)
\(24\) 22.1991 5.04221i 0.924963 0.210092i
\(25\) −9.89676 + 9.89676i −0.395870 + 0.395870i
\(26\) 29.9325 10.4620i 1.15125 0.402386i
\(27\) −10.7836 26.0339i −0.399393 0.964220i
\(28\) −11.7300 25.4245i −0.418930 0.908018i
\(29\) 7.68667 18.5573i 0.265057 0.639905i −0.734180 0.678955i \(-0.762433\pi\)
0.999237 + 0.0390498i \(0.0124331\pi\)
\(30\) −26.5080 + 23.6722i −0.883599 + 0.789075i
\(31\) 59.4680i 1.91832i 0.282859 + 0.959162i \(0.408717\pi\)
−0.282859 + 0.959162i \(0.591283\pi\)
\(32\) 15.4298 + 28.0343i 0.482182 + 0.876071i
\(33\) 36.8344i 1.11620i
\(34\) 10.9616 + 12.2747i 0.322400 + 0.361020i
\(35\) 35.2456 + 25.8565i 1.00702 + 0.738757i
\(36\) 2.82473 2.24941i 0.0784648 0.0624835i
\(37\) −20.1216 + 8.33464i −0.543827 + 0.225261i −0.637647 0.770329i \(-0.720092\pi\)
0.0938199 + 0.995589i \(0.470092\pi\)
\(38\) −40.9823 + 14.3242i −1.07848 + 0.376952i
\(39\) −31.9004 + 31.9004i −0.817958 + 0.817958i
\(40\) −42.2722 26.6235i −1.05681 0.665588i
\(41\) −24.3694 + 24.3694i −0.594376 + 0.594376i −0.938810 0.344435i \(-0.888071\pi\)
0.344435 + 0.938810i \(0.388071\pi\)
\(42\) 30.7406 + 25.3393i 0.731919 + 0.603316i
\(43\) −14.7173 35.5306i −0.342262 0.826294i −0.997486 0.0708592i \(-0.977426\pi\)
0.655224 0.755434i \(-0.272574\pi\)
\(44\) 49.7644 14.2990i 1.13101 0.324978i
\(45\) −2.15731 + 5.20820i −0.0479401 + 0.115738i
\(46\) −4.22021 + 74.6794i −0.0917436 + 1.62346i
\(47\) 5.31825 0.113154 0.0565771 0.998398i \(-0.481981\pi\)
0.0565771 + 0.998398i \(0.481981\pi\)
\(48\) −37.0947 26.3985i −0.772807 0.549969i
\(49\) 22.6471 43.4524i 0.462186 0.886783i
\(50\) 27.9477 + 1.57935i 0.558953 + 0.0315870i
\(51\) −21.6321 8.96030i −0.424159 0.175692i
\(52\) −55.4820 30.7147i −1.06696 0.590667i
\(53\) 15.0826 + 36.4126i 0.284577 + 0.687030i 0.999931 0.0117325i \(-0.00373464\pi\)
−0.715354 + 0.698762i \(0.753735\pi\)
\(54\) −24.4706 + 50.7681i −0.453159 + 0.940150i
\(55\) −57.1585 + 57.1585i −1.03925 + 1.03925i
\(56\) −22.3007 + 51.3681i −0.398226 + 0.917287i
\(57\) 43.6766 43.6766i 0.766255 0.766255i
\(58\) −37.9228 + 13.2548i −0.653841 + 0.228531i
\(59\) −6.55591 15.8274i −0.111117 0.268260i 0.858533 0.512759i \(-0.171377\pi\)
−0.969650 + 0.244499i \(0.921377\pi\)
\(60\) 70.6262 + 8.00789i 1.17710 + 0.133465i
\(61\) 86.2481 + 35.7251i 1.41390 + 0.585658i 0.953321 0.301959i \(-0.0976404\pi\)
0.460583 + 0.887617i \(0.347640\pi\)
\(62\) 88.7115 79.2215i 1.43083 1.27777i
\(63\) 6.13770 + 1.50349i 0.0974238 + 0.0238649i
\(64\) 21.2651 60.3639i 0.332267 0.943185i
\(65\) 99.0039 1.52314
\(66\) −54.9479 + 49.0697i −0.832543 + 0.743481i
\(67\) 3.59372 8.67602i 0.0536377 0.129493i −0.894789 0.446489i \(-0.852674\pi\)
0.948427 + 0.316996i \(0.102674\pi\)
\(68\) 3.70811 32.7039i 0.0545310 0.480940i
\(69\) −40.7260 98.3213i −0.590232 1.42495i
\(70\) −8.38161 87.0229i −0.119737 1.24318i
\(71\) 22.3288 22.3288i 0.314490 0.314490i −0.532156 0.846646i \(-0.678618\pi\)
0.846646 + 0.532156i \(0.178618\pi\)
\(72\) −7.11858 1.21721i −0.0988692 0.0169057i
\(73\) 92.1045 92.1045i 1.26171 1.26171i 0.311440 0.950266i \(-0.399189\pi\)
0.950266 0.311440i \(-0.100811\pi\)
\(74\) 39.2386 + 18.9133i 0.530252 + 0.255585i
\(75\) −36.7953 + 15.2411i −0.490604 + 0.203215i
\(76\) 75.9634 + 42.0532i 0.999519 + 0.553331i
\(77\) 73.0599 + 53.5974i 0.948830 + 0.696071i
\(78\) 90.0842 + 5.09075i 1.15493 + 0.0652660i
\(79\) 125.782i 1.59217i −0.605183 0.796086i \(-0.706900\pi\)
0.605183 0.796086i \(-0.293100\pi\)
\(80\) 16.5980 + 98.5267i 0.207475 + 1.23158i
\(81\) 72.0604i 0.889635i
\(82\) 68.8173 + 3.88894i 0.839235 + 0.0474260i
\(83\) −9.80373 + 23.6683i −0.118117 + 0.285160i −0.971870 0.235519i \(-0.924321\pi\)
0.853753 + 0.520679i \(0.174321\pi\)
\(84\) −3.15178 79.6136i −0.0375211 0.947781i
\(85\) 19.6637 + 47.4723i 0.231337 + 0.558497i
\(86\) −33.3970 + 69.2873i −0.388337 + 0.805667i
\(87\) 40.4159 40.4159i 0.464551 0.464551i
\(88\) −87.6252 55.1874i −0.995741 0.627130i
\(89\) 22.0951 + 22.0951i 0.248259 + 0.248259i 0.820256 0.571997i \(-0.193831\pi\)
−0.571997 + 0.820256i \(0.693831\pi\)
\(90\) 10.6432 3.72004i 0.118258 0.0413337i
\(91\) −16.8554 109.691i −0.185224 1.20540i
\(92\) 117.025 93.1901i 1.27201 1.01294i
\(93\) −64.7578 + 156.339i −0.696321 + 1.68107i
\(94\) −7.08481 7.93351i −0.0753703 0.0843990i
\(95\) −135.552 −1.42686
\(96\) 10.0364 + 90.5034i 0.104546 + 0.942744i
\(97\) 126.184i 1.30086i 0.759566 + 0.650431i \(0.225411\pi\)
−0.759566 + 0.650431i \(0.774589\pi\)
\(98\) −94.9900 + 24.1020i −0.969285 + 0.245939i
\(99\) −4.47184 + 10.7960i −0.0451701 + 0.109050i
\(100\) −34.8750 43.7950i −0.348750 0.437950i
\(101\) −36.0209 86.9622i −0.356643 0.861012i −0.995767 0.0919087i \(-0.970703\pi\)
0.639125 0.769103i \(1.72070\pi\)
\(102\) 15.4511 + 44.2064i 0.151481 + 0.433396i
\(103\) −62.5866 62.5866i −0.607637 0.607637i 0.334691 0.942328i \(-0.391368\pi\)
−0.942328 + 0.334691i \(0.891368\pi\)
\(104\) 28.0927 + 123.683i 0.270122 + 1.18926i
\(105\) 64.5029 + 106.357i 0.614313 + 1.01292i
\(106\) 34.2260 71.0072i 0.322887 0.669879i
\(107\) 76.7971 + 185.405i 0.717730 + 1.73275i 0.679716 + 0.733475i \(0.262103\pi\)
0.0380135 + 0.999277i \(0.487897\pi\)
\(108\) 108.332 31.1276i 1.00308 0.288219i
\(109\) 70.2851 + 29.1130i 0.644817 + 0.267092i 0.681034 0.732252i \(-0.261531\pi\)
−0.0362167 + 0.999344i \(0.511531\pi\)
\(110\) 161.411 + 9.12151i 1.46737 + 0.0829228i
\(111\) −61.9750 −0.558333
\(112\) 106.337 35.1639i 0.949435 0.313964i
\(113\) 35.3129i 0.312504i −0.987717 0.156252i \(-0.950059\pi\)
0.987717 0.156252i \(-0.0499411\pi\)
\(114\) −123.339 6.97002i −1.08192 0.0611405i
\(115\) −89.3745 + 215.769i −0.777169 + 1.87625i
\(116\) 70.2924 + 38.9137i 0.605969 + 0.335463i
\(117\) 13.2226 5.47700i 0.113014 0.0468120i
\(118\) −14.8769 + 30.8645i −0.126076 + 0.261564i
\(119\) 49.2491 29.8685i 0.413858 0.250996i
\(120\) −82.1403 116.025i −0.684503 0.966873i
\(121\) −32.9228 + 32.9228i −0.272089 + 0.272089i
\(122\) −61.6041 176.253i −0.504951 1.44470i
\(123\) −90.6034 + 37.5292i −0.736613 + 0.305115i
\(124\) −236.358 26.7992i −1.90611 0.216123i
\(125\) −63.4851 26.2964i −0.507880 0.210371i
\(126\) −5.93362 11.1588i −0.0470922 0.0885621i
\(127\) −129.436 −1.01918 −0.509589 0.860418i \(-0.670203\pi\)
−0.509589 + 0.860418i \(0.670203\pi\)
\(128\) −118.377 + 48.6927i −0.924817 + 0.380412i
\(129\) 109.435i 0.848334i
\(130\) −131.890 147.689i −1.01454 1.13607i
\(131\) −45.8272 18.9823i −0.349826 0.144903i 0.200849 0.979622i \(-0.435630\pi\)
−0.550676 + 0.834719i \(0.685630\pi\)
\(132\) 146.400 + 16.5994i 1.10909 + 0.125753i
\(133\) 23.0777 + 150.184i 0.173516 + 1.12921i
\(134\) −17.7299 + 6.19698i −0.132313 + 0.0462461i
\(135\) −124.429 + 124.429i −0.921693 + 0.921693i
\(136\) −53.7260 + 38.0356i −0.395044 + 0.279674i
\(137\) −26.4380 26.4380i −0.192978 0.192978i 0.604004 0.796982i \(-0.293571\pi\)
−0.796982 + 0.604004i \(0.793571\pi\)
\(138\) −92.4170 + 191.734i −0.669689 + 1.38937i
\(139\) 158.211 65.5330i 1.13821 0.471461i 0.267644 0.963518i \(-0.413755\pi\)
0.870563 + 0.492057i \(0.163755\pi\)
\(140\) −118.651 + 128.433i −0.847507 + 0.917375i
\(141\) 13.9815 + 5.79132i 0.0991594 + 0.0410732i
\(142\) −63.0547 3.56328i −0.444047 0.0250935i
\(143\) 205.223 1.43513
\(144\) 7.66738 + 12.2407i 0.0532457 + 0.0850048i
\(145\) −125.432 −0.865050
\(146\) −260.096 14.6983i −1.78148 0.100673i
\(147\) 106.856 89.5730i 0.726911 0.609340i
\(148\) −24.0585 83.7300i −0.162558 0.565743i
\(149\) −24.8431 59.9766i −0.166732 0.402527i 0.818325 0.574756i \(-0.194903\pi\)
−0.985057 + 0.172229i \(0.944903\pi\)
\(150\) 71.7536 + 34.5857i 0.478357 + 0.230572i
\(151\) −153.458 153.458i −1.01628 1.01628i −0.999865 0.0164134i \(-0.994775\pi\)
−0.0164134 0.999865i \(-0.505225\pi\)
\(152\) −38.4632 169.341i −0.253048 1.11408i
\(153\) 5.25243 + 5.25243i 0.0343296 + 0.0343296i
\(154\) −17.3741 180.388i −0.112819 1.17135i
\(155\) 343.091 142.113i 2.21349 0.916858i
\(156\) −112.413 141.165i −0.720598 0.904904i
\(157\) 75.7760 + 31.3875i 0.482650 + 0.199920i 0.610723 0.791845i \(-0.290879\pi\)
−0.128073 + 0.991765i \(0.540879\pi\)
\(158\) −187.635 + 167.562i −1.18756 + 1.06052i
\(159\) 112.151i 0.705355i
\(160\) 124.866 156.014i 0.780413 0.975090i
\(161\) 254.277 + 62.2876i 1.57936 + 0.386880i
\(162\) −107.496 + 95.9967i −0.663557 + 0.592572i
\(163\) −67.4334 + 162.799i −0.413702 + 0.998764i 0.570434 + 0.821344i \(0.306775\pi\)
−0.984135 + 0.177420i \(0.943225\pi\)
\(164\) −85.8750 107.839i −0.523628 0.657555i
\(165\) −212.510 + 88.0247i −1.28794 + 0.533483i
\(166\) 48.3675 16.9055i 0.291370 0.101840i
\(167\) 1.60311 + 1.60311i 0.00959944 + 0.00959944i 0.711890 0.702291i \(-0.247839\pi\)
−0.702291 + 0.711890i \(0.747839\pi\)
\(168\) −114.565 + 110.760i −0.681935 + 0.659288i
\(169\) −58.2321 58.2321i −0.344569 0.344569i
\(170\) 44.6215 92.5744i 0.262480 0.544555i
\(171\) −18.1039 + 7.49886i −0.105870 + 0.0438530i
\(172\) 147.850 42.4824i 0.859593 0.246991i
\(173\) 29.9048 72.1966i 0.172860 0.417322i −0.813578 0.581456i \(-0.802483\pi\)
0.986438 + 0.164135i \(0.0524832\pi\)
\(174\) −114.131 6.44968i −0.655928 0.0370671i
\(175\) 23.3102 95.1595i 0.133201 0.543768i
\(176\) 34.4057 + 204.234i 0.195487 + 1.16042i
\(177\) 48.7486i 0.275416i
\(178\) 3.52599 62.3948i 0.0198090 0.350533i
\(179\) −24.0549 9.96388i −0.134385 0.0556641i 0.314477 0.949265i \(-0.398171\pi\)
−0.448863 + 0.893601i \(0.648171\pi\)
\(180\) −19.7280 10.9214i −0.109600 0.0606742i
\(181\) −5.89024 + 2.43982i −0.0325428 + 0.0134797i −0.398895 0.916996i \(-0.630606\pi\)
0.366353 + 0.930476i \(0.380606\pi\)
\(182\) −141.178 + 171.271i −0.775703 + 0.941052i
\(183\) 187.840 + 187.840i 1.02645 + 1.02645i
\(184\) −294.914 50.4275i −1.60279 0.274063i
\(185\) 96.1708 + 96.1708i 0.519842 + 0.519842i
\(186\) 319.488 111.668i 1.71768 0.600364i
\(187\) 40.7604 + 98.4043i 0.217970 + 0.526226i
\(188\) −2.39666 + 21.1375i −0.0127482 + 0.112434i
\(189\) 159.044 + 116.676i 0.841505 + 0.617336i
\(190\) 180.578 + 202.210i 0.950410 + 1.06426i
\(191\) −66.9175 −0.350353 −0.175177 0.984537i \(-0.556050\pi\)
−0.175177 + 0.984537i \(0.556050\pi\)
\(192\) 121.638 135.538i 0.633534 0.705926i
\(193\) −57.1735 −0.296236 −0.148118 0.988970i \(-0.547322\pi\)
−0.148118 + 0.988970i \(0.547322\pi\)
\(194\) 188.235 168.098i 0.970281 0.866484i
\(195\) 260.278 + 107.811i 1.33476 + 0.552875i
\(196\) 162.497 + 109.593i 0.829066 + 0.559150i
\(197\) −219.277 + 90.8277i −1.11308 + 0.461054i −0.861998 0.506911i \(-0.830787\pi\)
−0.251085 + 0.967965i \(0.580787\pi\)
\(198\) 22.0622 7.71119i 0.111425 0.0389454i
\(199\) −60.0935 60.0935i −0.301977 0.301977i 0.539810 0.841787i \(-0.318496\pi\)
−0.841787 + 0.539810i \(0.818496\pi\)
\(200\) −18.8718 + 110.367i −0.0943589 + 0.551836i
\(201\) 18.8955 18.8955i 0.0940076 0.0940076i
\(202\) −81.7401 + 169.583i −0.404654 + 0.839518i
\(203\) 21.3548 + 138.972i 0.105196 + 0.684593i
\(204\) 45.3615 81.9395i 0.222360 0.401664i
\(205\) 198.832 + 82.3589i 0.969912 + 0.401751i
\(206\) −9.98775 + 176.740i −0.0484842 + 0.857960i
\(207\) 33.7617i 0.163100i
\(208\) 147.079 206.673i 0.707113 0.993622i
\(209\) −280.982 −1.34441
\(210\) 72.7289 237.907i 0.346328 1.13289i
\(211\) −9.56309 3.96116i −0.0453227 0.0187733i 0.359907 0.932988i \(-0.382808\pi\)
−0.405230 + 0.914215i \(0.632808\pi\)
\(212\) −151.520 + 43.5369i −0.714717 + 0.205363i
\(213\) 83.0164 34.3865i 0.389748 0.161439i
\(214\) 174.271 361.552i 0.814350 1.68950i
\(215\) −169.818 + 169.818i −0.789850 + 0.789850i
\(216\) −190.752 120.138i −0.883110 0.556193i
\(217\) −215.865 355.933i −0.994770 1.64024i
\(218\) −50.2022 143.631i −0.230285 0.658860i
\(219\) 342.437 141.842i 1.56364 0.647680i
\(220\) −201.420 252.937i −0.915545 1.14971i
\(221\) 49.9224 120.523i 0.225893 0.545354i
\(222\) 82.5612 + 92.4513i 0.371897 + 0.416447i
\(223\) 385.896i 1.73047i −0.501363 0.865237i \(-0.667168\pi\)
0.501363 0.865237i \(-0.332832\pi\)
\(224\) −194.114 111.784i −0.866582 0.499034i
\(225\) 12.6348 0.0561548
\(226\) −52.6781 + 47.0428i −0.233089 + 0.208154i
\(227\) −294.847 122.130i −1.29889 0.538016i −0.377265 0.926106i \(-0.623135\pi\)
−0.921622 + 0.388089i \(0.873135\pi\)
\(228\) 153.911 + 193.277i 0.675049 + 0.847705i
\(229\) 112.540 + 271.695i 0.491440 + 1.18644i 0.953987 + 0.299847i \(0.0969357\pi\)
−0.462547 + 0.886595i \(0.653064\pi\)
\(230\) 440.936 154.116i 1.91711 0.670071i
\(231\) 133.707 + 220.464i 0.578817 + 0.954391i
\(232\) −35.5918 156.699i −0.153413 0.675425i
\(233\) −78.6743 78.6743i −0.337658 0.337658i 0.517827 0.855485i \(-0.326741\pi\)
−0.855485 + 0.517827i \(0.826741\pi\)
\(234\) −25.7851 12.4286i −0.110193 0.0531138i
\(235\) −12.7092 30.6828i −0.0540818 0.130565i
\(236\) 65.8608 18.9241i 0.279071 0.0801868i
\(237\) 136.970 330.675i 0.577933 1.39525i
\(238\) −110.165 33.6776i −0.462876 0.141502i
\(239\) 415.345i 1.73785i −0.494948 0.868923i \(-0.664813\pi\)
0.494948 0.868923i \(-0.335187\pi\)
\(240\) −63.6553 + 277.098i −0.265230 + 1.15457i
\(241\) −105.572 −0.438060 −0.219030 0.975718i \(-0.570289\pi\)
−0.219030 + 0.975718i \(0.570289\pi\)
\(242\) 92.9714 + 5.25391i 0.384179 + 0.0217104i
\(243\) −18.5821 + 44.8612i −0.0764696 + 0.184614i
\(244\) −180.858 + 326.697i −0.741223 + 1.33892i
\(245\) −304.812 26.8191i −1.24413 0.109466i
\(246\) 176.683 + 85.1626i 0.718225 + 0.346189i
\(247\) 243.344 + 243.344i 0.985199 + 0.985199i
\(248\) 274.891 + 388.288i 1.10843 + 1.56568i
\(249\) −51.5473 + 51.5473i −0.207017 + 0.207017i
\(250\) 45.3452 + 129.735i 0.181381 + 0.518941i
\(251\) 8.51793 + 20.5641i 0.0339360 + 0.0819287i 0.939939 0.341343i \(-0.110882\pi\)
−0.906003 + 0.423271i \(0.860882\pi\)
\(252\) −8.74161 + 23.7169i −0.0346889 + 0.0941148i
\(253\) −185.263 + 447.263i −0.732263 + 1.76784i
\(254\) 172.430 + 193.086i 0.678859 + 0.760181i
\(255\) 146.216i 0.573395i
\(256\) 230.335 + 111.722i 0.899747 + 0.436413i
\(257\) 252.000i 0.980547i −0.871569 0.490273i \(-0.836897\pi\)
0.871569 0.490273i \(-0.163103\pi\)
\(258\) −163.250 + 145.786i −0.632752 + 0.565062i
\(259\) 90.1792 122.925i 0.348182 0.474615i
\(260\) −44.6160 + 393.494i −0.171600 + 1.51344i
\(261\) −16.7523 + 6.93904i −0.0641852 + 0.0265864i
\(262\) 32.7328 + 93.6505i 0.124934 + 0.357445i
\(263\) −37.2844 + 37.2844i −0.141766 + 0.141766i −0.774428 0.632662i \(-0.781962\pi\)
0.632662 + 0.774428i \(0.281962\pi\)
\(264\) −170.267 240.505i −0.644951 0.911005i
\(265\) 174.033 174.033i 0.656728 0.656728i
\(266\) 193.294 234.497i 0.726671 0.881568i
\(267\) 34.0267 + 82.1477i 0.127441 + 0.307669i
\(268\) 32.8636 + 18.1932i 0.122625 + 0.0678851i
\(269\) −73.4951 + 177.433i −0.273216 + 0.659602i −0.999617 0.0276690i \(-0.991192\pi\)
0.726401 + 0.687271i \(0.241192\pi\)
\(270\) 351.377 + 19.8566i 1.30139 + 0.0735431i
\(271\) −524.944 −1.93706 −0.968532 0.248889i \(-0.919935\pi\)
−0.968532 + 0.248889i \(0.919935\pi\)
\(272\) 128.312 + 29.4760i 0.471735 + 0.108368i
\(273\) 75.1363 306.729i 0.275224 1.12355i
\(274\) −4.21905 + 74.6588i −0.0153980 + 0.272478i
\(275\) 167.382 + 69.3318i 0.608661 + 0.252116i
\(276\) 409.134 117.558i 1.48237 0.425936i
\(277\) −152.184 367.404i −0.549400 1.32637i −0.917926 0.396751i \(-0.870138\pi\)
0.368527 0.929617i \(-0.379862\pi\)
\(278\) −308.523 148.710i −1.10979 0.534929i
\(279\) 37.9603 37.9603i 0.136058 0.136058i
\(280\) 349.653 + 5.90382i 1.24876 + 0.0210851i
\(281\) −164.515 + 164.515i −0.585463 + 0.585463i −0.936399 0.350937i \(-0.885863\pi\)
0.350937 + 0.936399i \(0.385863\pi\)
\(282\) −9.98648 28.5719i −0.0354131 0.101319i
\(283\) −15.6042 37.6718i −0.0551384 0.133116i 0.893910 0.448247i \(-0.147951\pi\)
−0.949048 + 0.315131i \(0.897951\pi\)
\(284\) 78.6840 + 98.8088i 0.277056 + 0.347918i
\(285\) −356.360 147.609i −1.25039 0.517927i
\(286\) −273.392 306.142i −0.955917 1.07043i
\(287\) 57.3983 234.317i 0.199994 0.816436i
\(288\) 8.04583 27.7445i 0.0279369 0.0963351i
\(289\) −221.294 −0.765723
\(290\) 167.097 + 187.114i 0.576196 + 0.645220i
\(291\) −137.408 + 331.732i −0.472192 + 1.13997i
\(292\) 324.566 + 407.579i 1.11153 + 1.39582i
\(293\) 185.206 + 447.127i 0.632103 + 1.52603i 0.836974 + 0.547243i \(0.184323\pi\)
−0.204871 + 0.978789i \(0.565677\pi\)
\(294\) −275.971 40.0762i −0.938677 0.136313i
\(295\) −75.6465 + 75.6465i −0.256429 + 0.256429i
\(296\) −92.8544 + 147.432i −0.313697 + 0.498081i
\(297\) −257.926 + 257.926i −0.868436 + 0.868436i
\(298\) −56.3749 + 116.959i −0.189178 + 0.392479i
\(299\) 547.798 226.905i 1.83210 0.758880i
\(300\) −43.9946 153.113i −0.146649 0.510375i
\(301\) 217.061 + 159.238i 0.721132 + 0.529030i
\(302\) −24.4893 + 433.354i −0.0810902 + 1.43495i
\(303\) 267.845i 0.883978i
\(304\) −201.375 + 282.968i −0.662416 + 0.930815i
\(305\) 582.969i 1.91137i
\(306\) 0.838197 14.8325i 0.00273921 0.0484721i
\(307\) 55.1706 133.194i 0.179709 0.433856i −0.808197 0.588913i \(-0.799556\pi\)
0.987905 + 0.155057i \(0.0495562\pi\)
\(308\) −245.949 + 266.225i −0.798536 + 0.864368i
\(309\) −96.3841 232.692i −0.311923 0.753048i
\(310\) −669.053 322.488i −2.15824 1.04029i
\(311\) 281.152 281.152i 0.904025 0.904025i −0.0917564 0.995781i \(-0.529248\pi\)
0.995781 + 0.0917564i \(0.0292481\pi\)
\(312\) −60.8297 + 355.748i −0.194967 + 1.14022i
\(313\) 164.448 + 164.448i 0.525394 + 0.525394i 0.919196 0.393801i \(-0.128840\pi\)
−0.393801 + 0.919196i \(0.628840\pi\)
\(314\) −54.1242 154.853i −0.172370 0.493161i
\(315\) −5.99335 39.0034i −0.0190265 0.123820i
\(316\) 499.923 + 56.6834i 1.58204 + 0.179378i
\(317\) 102.453 247.344i 0.323197 0.780267i −0.675868 0.737023i \(-0.736231\pi\)
0.999065 0.0432434i \(-0.0137691\pi\)
\(318\) 167.302 149.405i 0.526108 0.469826i
\(319\) −260.006 −0.815066
\(320\) −399.078 + 21.5684i −1.24712 + 0.0674014i
\(321\) 571.050i 1.77897i
\(322\) −245.822 462.296i −0.763423 1.43570i
\(323\) −68.3515 + 165.015i −0.211614 + 0.510882i
\(324\) 286.407 + 32.4740i 0.883971 + 0.100228i
\(325\) −84.9160 205.005i −0.261280 0.630785i
\(326\) 332.688 116.281i 1.02051 0.356691i
\(327\) 153.074 + 153.074i 0.468117 + 0.468117i
\(328\) −46.4692 + 271.764i −0.141674 + 0.828549i
\(329\) −31.8312 + 19.3049i −0.0967513 + 0.0586775i
\(330\) 414.411 + 199.749i 1.25579 + 0.605300i
\(331\) −42.2185 101.924i −0.127548 0.307929i 0.847186 0.531296i \(-0.178295\pi\)
−0.974734 + 0.223368i \(0.928295\pi\)
\(332\) −89.6524 49.6314i −0.270037 0.149492i
\(333\) 18.1645 + 7.52399i 0.0545481 + 0.0225946i
\(334\) 0.255828 4.52704i 0.000765952 0.0135540i
\(335\) −58.6430 −0.175054
\(336\) 317.847 + 23.3509i 0.945974 + 0.0694968i
\(337\) 84.3102i 0.250179i −0.992145 0.125089i \(-0.960078\pi\)
0.992145 0.125089i \(-0.0399217\pi\)
\(338\) −9.29284 + 164.443i −0.0274936 + 0.486518i
\(339\) 38.4541 92.8364i 0.113434 0.273854i
\(340\) −197.542 + 56.7605i −0.581005 + 0.166943i
\(341\) 711.187 294.583i 2.08559 0.863881i
\(342\) 35.3038 + 17.0167i 0.103228 + 0.0497564i
\(343\) 22.1801 + 342.282i 0.0646650 + 0.997907i
\(344\) −260.334 163.962i −0.756786 0.476633i
\(345\) −469.924 + 469.924i −1.36210 + 1.36210i
\(346\) −147.538 + 51.5676i −0.426410 + 0.149039i
\(347\) 273.373 113.235i 0.787818 0.326325i 0.0477521 0.998859i \(-0.484794\pi\)
0.740066 + 0.672534i \(0.234794\pi\)
\(348\) 142.421 + 178.848i 0.409256 + 0.513931i
\(349\) −78.2311 32.4044i −0.224158 0.0928492i 0.267778 0.963481i \(-0.413711\pi\)
−0.491936 + 0.870631i \(0.663711\pi\)
\(350\) −173.008 + 91.9954i −0.494307 + 0.262844i
\(351\) 446.752 1.27280
\(352\) 258.832 323.399i 0.735319 0.918748i
\(353\) 47.5226i 0.134625i −0.997732 0.0673125i \(-0.978558\pi\)
0.997732 0.0673125i \(-0.0214424\pi\)
\(354\) −72.7209 + 64.9414i −0.205426 + 0.183450i
\(355\) −182.182 75.4623i −0.513189 0.212570i
\(356\) −97.7748 + 77.8606i −0.274648 + 0.218709i
\(357\) 161.999 24.8932i 0.453780 0.0697289i
\(358\) 17.1816 + 49.1576i 0.0479933 + 0.137312i
\(359\) 285.648 285.648i 0.795677 0.795677i −0.186734 0.982411i \(-0.559790\pi\)
0.982411 + 0.186734i \(0.0597902\pi\)
\(360\) 9.98904 + 43.9783i 0.0277473 + 0.122162i
\(361\) −77.9103 77.9103i −0.215818 0.215818i
\(362\) 11.4864 + 5.53653i 0.0317304 + 0.0152943i
\(363\) −122.404 + 50.7014i −0.337201 + 0.139673i
\(364\) 443.567 17.5601i 1.21859 0.0482421i
\(365\) −751.488 311.277i −2.05887 0.852812i
\(366\) 29.9760 530.446i 0.0819018 1.44931i
\(367\) −48.7938 −0.132953 −0.0664765 0.997788i \(-0.521176\pi\)
−0.0664765 + 0.997788i \(0.521176\pi\)
\(368\) 317.650 + 507.116i 0.863179 + 1.37803i
\(369\) 31.1115 0.0843131
\(370\) 15.3472 271.579i 0.0414789 0.733997i
\(371\) −222.449 163.191i −0.599592 0.439867i
\(372\) −592.192 327.836i −1.59192 0.881280i
\(373\) 41.0112 + 99.0098i 0.109950 + 0.265442i 0.969272 0.245993i \(-0.0791141\pi\)
−0.859322 + 0.511435i \(0.829114\pi\)
\(374\) 92.4951 191.896i 0.247313 0.513090i
\(375\) −138.264 138.264i −0.368705 0.368705i
\(376\) 34.7247 24.5836i 0.0923530 0.0653818i
\(377\) 225.178 + 225.178i 0.597288 + 0.597288i
\(378\) −37.8217 392.688i −0.100057 1.03886i
\(379\) 301.152 124.741i 0.794595 0.329132i 0.0518057 0.998657i \(-0.483502\pi\)
0.742789 + 0.669525i \(0.233502\pi\)
\(380\) 61.0862 538.755i 0.160753 1.41778i
\(381\) −340.281 140.949i −0.893127 0.369945i
\(382\) 89.1454 + 99.8243i 0.233365 + 0.261320i
\(383\) 531.504i 1.38774i 0.720100 + 0.693870i \(0.244096\pi\)
−0.720100 + 0.693870i \(0.755904\pi\)
\(384\) −364.232 0.895203i −0.948520 0.00233126i
\(385\) 134.628 549.591i 0.349682 1.42751i
\(386\) 76.1648 + 85.2887i 0.197318 + 0.220955i
\(387\) −13.2858 + 32.0748i −0.0343303 + 0.0828807i
\(388\) −501.521 56.8645i −1.29258 0.146558i
\(389\) −122.261 + 50.6422i −0.314296 + 0.130186i −0.534255 0.845324i \(-0.679408\pi\)
0.219959 + 0.975509i \(0.429408\pi\)
\(390\) −185.907 531.892i −0.476686 1.36382i
\(391\) 217.602 + 217.602i 0.556526 + 0.556526i
\(392\) −52.9872 388.402i −0.135171 0.990822i
\(393\) −99.8073 99.8073i −0.253963 0.253963i
\(394\) 427.607 + 206.110i 1.08530 + 0.523121i
\(395\) −725.677 + 300.585i −1.83716 + 0.760975i
\(396\) −40.8937 22.6387i −0.103267 0.0571683i
\(397\) −94.5605 + 228.289i −0.238188 + 0.575036i −0.997095 0.0761623i \(-0.975733\pi\)
0.758908 + 0.651198i \(0.225733\pi\)
\(398\) −9.58988 + 169.699i −0.0240952 + 0.426380i
\(399\) −102.873 + 419.959i −0.257828 + 1.05253i
\(400\) 189.781 118.876i 0.474452 0.297190i
\(401\) 364.409i 0.908751i −0.890810 0.454375i \(-0.849862\pi\)
0.890810 0.454375i \(-0.150138\pi\)
\(402\) −53.3595 3.01540i −0.132735 0.00750100i
\(403\) −871.045 360.799i −2.16140 0.895282i
\(404\) 361.867 103.977i 0.895710 0.257369i
\(405\) −415.741 + 172.206i −1.02652 + 0.425199i
\(406\) 178.864 216.991i 0.440552 0.534460i
\(407\) 199.351 + 199.351i 0.489805 + 0.489805i
\(408\) −182.663 + 41.4892i −0.447703 + 0.101689i
\(409\) 307.105 + 307.105i 0.750867 + 0.750867i 0.974641 0.223774i \(-0.0718378\pi\)
−0.223774 + 0.974641i \(0.571838\pi\)
\(410\) −142.019 406.324i −0.346387 0.991034i
\(411\) −40.7148 98.2942i −0.0990628 0.239159i
\(412\) 276.957 220.548i 0.672226 0.535311i
\(413\) 96.6913 + 70.9336i 0.234119 + 0.171752i
\(414\) 50.3641 44.9763i 0.121652 0.108638i
\(415\) 159.979 0.385491
\(416\) −504.240 + 55.9180i −1.21212 + 0.134418i
\(417\) 487.293 1.16857
\(418\) 374.316 + 419.156i 0.895493 + 1.00277i
\(419\) −260.334 107.834i −0.621322 0.257360i 0.0497391 0.998762i \(-0.484161\pi\)
−0.671061 + 0.741402i \(0.734161\pi\)
\(420\) −451.786 + 208.439i −1.07568 + 0.496284i
\(421\) −514.444 + 213.090i −1.22196 + 0.506151i −0.898031 0.439931i \(-0.855003\pi\)
−0.323926 + 0.946083i \(0.605003\pi\)
\(422\) 6.83059 + 19.5427i 0.0161862 + 0.0463097i
\(423\) −3.39481 3.39481i −0.00802554 0.00802554i
\(424\) 266.796 + 168.032i 0.629237 + 0.396301i
\(425\) 81.4342 81.4342i 0.191610 0.191610i
\(426\) −161.888 78.0312i −0.380019 0.183172i
\(427\) −645.899 + 99.2504i −1.51264 + 0.232436i
\(428\) −771.505 + 221.680i −1.80258 + 0.517944i
\(429\) 539.525 + 223.478i 1.25763 + 0.520929i
\(430\) 479.552 + 27.1000i 1.11524 + 0.0630232i
\(431\) 410.006i 0.951290i −0.879637 0.475645i \(-0.842215\pi\)
0.879637 0.475645i \(-0.157785\pi\)
\(432\) 74.8980 + 444.598i 0.173375 + 1.02916i
\(433\) 512.137 1.18277 0.591383 0.806391i \(-0.298582\pi\)
0.591383 + 0.806391i \(0.298582\pi\)
\(434\) −243.394 + 796.180i −0.560816 + 1.83452i
\(435\) −329.757 136.590i −0.758061 0.313999i
\(436\) −147.385 + 266.231i −0.338038 + 0.610621i
\(437\) −750.019 + 310.668i −1.71629 + 0.710911i
\(438\) −667.777 321.873i −1.52460 0.734871i
\(439\) 469.838 469.838i 1.07025 1.07025i 0.0729066 0.997339i \(-0.476773\pi\)
0.997339 0.0729066i \(-0.0232275\pi\)
\(440\) −108.993 + 637.423i −0.247712 + 1.44869i
\(441\) −42.1934 + 13.2807i −0.0956766 + 0.0301149i
\(442\) −246.296 + 86.0856i −0.557231 + 0.194764i
\(443\) 86.8413 35.9709i 0.196030 0.0811983i −0.282509 0.959265i \(-0.591167\pi\)
0.478539 + 0.878066i \(0.341167\pi\)
\(444\) 27.9290 246.322i 0.0629031 0.554779i
\(445\) 74.6726 180.276i 0.167804 0.405114i
\(446\) −575.661 + 514.078i −1.29072 + 1.15264i
\(447\) 184.729i 0.413264i
\(448\) 91.8397 + 438.485i 0.204999 + 0.978762i
\(449\) 33.6621 0.0749712 0.0374856 0.999297i \(-0.488065\pi\)
0.0374856 + 0.999297i \(0.488065\pi\)
\(450\) −16.8317 18.8480i −0.0374039 0.0418845i
\(451\) 412.155 + 170.720i 0.913869 + 0.378537i
\(452\) 140.352 + 15.9137i 0.310514 + 0.0352074i
\(453\) −236.327 570.544i −0.521693 1.25948i
\(454\) 210.599 + 602.536i 0.463875 + 1.32717i
\(455\) −592.566 + 359.378i −1.30234 + 0.789842i
\(456\) 83.2853 487.075i 0.182643 1.06815i
\(457\) 621.540 + 621.540i 1.36004 + 1.36004i 0.873853 + 0.486191i \(0.161614\pi\)
0.486191 + 0.873853i \(0.338386\pi\)
\(458\) 255.380 529.826i 0.557598 1.15682i
\(459\) 88.7315 + 214.217i 0.193315 + 0.466703i
\(460\) −817.305 452.458i −1.77675 0.983604i
\(461\) 284.099 685.876i 0.616267 1.48780i −0.239741 0.970837i \(-0.577062\pi\)
0.856008 0.516963i \(-0.172938\pi\)
\(462\) 150.758 493.153i 0.326317 1.06743i
\(463\) 342.743i 0.740266i 0.928979 + 0.370133i \(0.120688\pi\)
−0.928979 + 0.370133i \(0.879312\pi\)
\(464\) −186.341 + 261.843i −0.401597 + 0.564317i
\(465\) 1056.73 2.27253
\(466\) −12.5551 + 222.170i −0.0269422 + 0.476760i
\(467\) 73.9541 178.541i 0.158360 0.382315i −0.824707 0.565560i \(-0.808660\pi\)
0.983067 + 0.183245i \(0.0586602\pi\)
\(468\) 15.8097 + 55.0221i 0.0337815 + 0.117569i
\(469\) 9.98396 + 64.9734i 0.0212878 + 0.138536i
\(470\) −28.8403 + 59.8337i −0.0613622 + 0.127306i
\(471\) 165.033 + 165.033i 0.350388 + 0.350388i
\(472\) −115.968 73.0379i −0.245695 0.154741i
\(473\) −352.012 + 352.012i −0.744211 + 0.744211i
\(474\) −675.753 + 236.190i −1.42564 + 0.498291i
\(475\) 116.263 + 280.684i 0.244764 + 0.590914i
\(476\) 96.5192 + 209.202i 0.202771 + 0.439501i
\(477\) 13.6156 32.8710i 0.0285442 0.0689119i
\(478\) −619.592 + 553.310i −1.29622 + 1.15755i
\(479\) 326.700i 0.682045i −0.940055 0.341023i \(-0.889227\pi\)
0.940055 0.341023i \(-0.110773\pi\)
\(480\) 498.160 274.183i 1.03783 0.571215i
\(481\) 345.294i 0.717867i
\(482\) 140.640 + 157.488i 0.291785 + 0.326738i
\(483\) 600.656 + 440.647i 1.24360 + 0.912313i
\(484\) −116.016 145.689i −0.239703 0.301011i
\(485\) 727.996 301.546i 1.50102 0.621744i
\(486\) 91.6762 32.0428i 0.188634 0.0659316i
\(487\) −254.213 + 254.213i −0.521999 + 0.521999i −0.918175 0.396176i \(-0.870337\pi\)
0.396176 + 0.918175i \(0.370337\pi\)
\(488\) 728.284 165.419i 1.49239 0.338974i
\(489\) −354.560 + 354.560i −0.725071 + 0.725071i
\(490\) 366.054 + 490.432i 0.747049 + 1.00088i
\(491\) −91.2679 220.340i −0.185882 0.448758i 0.803278 0.595605i \(-0.203088\pi\)
−0.989159 + 0.146847i \(0.953088\pi\)
\(492\) −108.331 377.019i −0.220184 0.766298i
\(493\) −63.2488 + 152.696i −0.128294 + 0.309728i
\(494\) 38.8335 687.185i 0.0786104 1.39106i
\(495\) 72.9721 0.147418
\(496\) 213.029 927.334i 0.429493 1.86963i
\(497\) −52.5918 + 214.696i −0.105819 + 0.431984i
\(498\) 145.566 + 8.22606i 0.292300 + 0.0165182i
\(499\) 531.863 + 220.305i 1.06586 + 0.441493i 0.845527 0.533933i \(-0.179286\pi\)
0.220331 + 0.975425i \(0.429286\pi\)
\(500\) 133.125 240.473i 0.266251 0.480946i
\(501\) 2.46880 + 5.96021i 0.00492774 + 0.0118966i
\(502\) 19.3292 40.1015i 0.0385044 0.0798834i
\(503\) −529.745 + 529.745i −1.05317 + 1.05317i −0.0546667 + 0.998505i \(0.517410\pi\)
−0.998505 + 0.0546667i \(0.982590\pi\)
\(504\) 47.0251 18.5547i 0.0933038 0.0368148i
\(505\) −415.634 + 415.634i −0.823037 + 0.823037i
\(506\) 914.007 319.465i 1.80634 0.631353i
\(507\) −89.6781 216.502i −0.176880 0.427026i
\(508\) 58.3300 514.446i 0.114823 1.01269i
\(509\) 97.2308 + 40.2743i 0.191023 + 0.0791244i 0.476145 0.879367i \(-0.342034\pi\)
−0.285121 + 0.958491i \(0.592034\pi\)
\(510\) 218.117 194.784i 0.427681 0.381929i
\(511\) −216.938 + 885.605i −0.424535 + 1.73308i
\(512\) −140.184 492.435i −0.273798 0.961787i
\(513\) −611.672 −1.19234
\(514\) −375.922 + 335.707i −0.731366 + 0.653127i
\(515\) −211.518 + 510.649i −0.410714 + 0.991552i
\(516\) 434.953 + 49.3168i 0.842933 + 0.0955752i
\(517\) −26.3447 63.6017i −0.0509568 0.123021i
\(518\) −303.508 + 29.2324i −0.585923 + 0.0564331i
\(519\) 157.237 157.237i 0.302962 0.302962i
\(520\) 646.432 457.645i 1.24314 0.880087i
\(521\) −162.950 + 162.950i −0.312764 + 0.312764i −0.845980 0.533215i \(-0.820984\pi\)
0.533215 + 0.845980i \(0.320984\pi\)
\(522\) 32.6683 + 15.7463i 0.0625829 + 0.0301654i
\(523\) 445.079 184.358i 0.851012 0.352501i 0.0858261 0.996310i \(-0.472647\pi\)
0.765186 + 0.643809i \(0.222647\pi\)
\(524\) 96.0976 173.588i 0.183392 0.331274i
\(525\) 164.906 224.787i 0.314106 0.428166i
\(526\) 105.288 + 5.94995i 0.200168 + 0.0113117i
\(527\) 489.325i 0.928510i
\(528\) −131.950 + 574.390i −0.249905 + 1.08786i
\(529\) 869.704i 1.64405i
\(530\) −491.456 27.7727i −0.927275 0.0524012i
\(531\) −5.91826 + 14.2880i −0.0111455 + 0.0269076i
\(532\) −607.312 + 24.0425i −1.14156 + 0.0451928i
\(533\) −209.094 504.797i −0.392296 0.947087i
\(534\) 77.2147 160.194i 0.144597 0.299989i
\(535\) 886.137 886.137i 1.65633 1.65633i
\(536\) −16.6401 73.2608i −0.0310450 0.136681i
\(537\) −52.3893 52.3893i −0.0975593 0.0975593i
\(538\) 362.594 126.734i 0.673967 0.235566i
\(539\) −631.839 55.5928i −1.17224 0.103141i
\(540\) −438.472 550.619i −0.811985 1.01967i
\(541\) 111.898 270.145i 0.206835 0.499344i −0.786086 0.618117i \(-0.787896\pi\)
0.992921 + 0.118773i \(0.0378959\pi\)
\(542\) 699.315 + 783.087i 1.29025 + 1.44481i
\(543\) −18.1421 −0.0334108
\(544\) −126.962 230.677i −0.233386 0.424038i
\(545\) 475.071i 0.871690i
\(546\) −557.658 + 296.530i −1.02135 + 0.543096i
\(547\) 389.555 940.469i 0.712166 1.71932i 0.0176505 0.999844i \(-0.494381\pi\)
0.694516 0.719477i \(-0.255619\pi\)
\(548\) 116.993 93.1645i 0.213491 0.170008i
\(549\) −32.2504 77.8594i −0.0587439 0.141820i
\(550\) −119.555 342.054i −0.217373 0.621916i
\(551\) −308.303 308.303i −0.559533 0.559533i
\(552\) −720.404 453.719i −1.30508 0.821955i
\(553\) 456.579 + 752.838i 0.825641 + 1.36137i
\(554\) −345.341 + 716.465i −0.623359 + 1.29326i
\(555\) 148.104 + 357.555i 0.266854 + 0.644243i
\(556\) 189.166 + 658.346i 0.340226 + 1.18408i
\(557\) 962.583 + 398.715i 1.72816 + 0.715825i 0.999522 + 0.0309216i \(0.00984422\pi\)
0.728634 + 0.684904i \(0.240156\pi\)
\(558\) −107.197 6.05781i −0.192109 0.0108563i
\(559\) 609.718 1.09073
\(560\) −456.990 529.460i −0.816053 0.945464i
\(561\) 303.088i 0.540263i
\(562\) 464.577 + 26.2537i 0.826650 + 0.0467149i
\(563\) 40.2258 97.1136i 0.0714490 0.172493i −0.884121 0.467259i \(-0.845242\pi\)
0.955570 + 0.294766i \(0.0952416\pi\)
\(564\) −29.3185 + 52.9600i −0.0519832 + 0.0939007i
\(565\) −203.732 + 84.3886i −0.360588 + 0.149360i
\(566\) −35.4096 + 73.4627i −0.0625611 + 0.129793i
\(567\) 261.575 + 431.302i 0.461331 + 0.760673i
\(568\) 42.5779 249.007i 0.0749611 0.438393i
\(569\) 367.219 367.219i 0.645377 0.645377i −0.306495 0.951872i \(-0.599156\pi\)
0.951872 + 0.306495i \(0.0991564\pi\)
\(570\) 254.536 + 728.242i 0.446554 + 1.27762i
\(571\) −325.809 + 134.955i −0.570595 + 0.236348i −0.649277 0.760552i \(-0.724929\pi\)
0.0786828 + 0.996900i \(0.474929\pi\)
\(572\) −92.4837 + 815.667i −0.161685 + 1.42599i
\(573\) −175.924 72.8699i −0.307022 0.127173i
\(574\) −426.007 + 226.526i −0.742173 + 0.394645i
\(575\) 523.445 0.910339
\(576\) −52.1063 + 24.9580i −0.0904624 + 0.0433299i
\(577\) 268.418i 0.465195i 0.972573 + 0.232598i \(0.0747225\pi\)
−0.972573 + 0.232598i \(0.925278\pi\)
\(578\) 294.801 + 330.116i 0.510036 + 0.571134i
\(579\) −150.307 62.2592i −0.259598 0.107529i
\(580\) 56.5259 498.535i 0.0974585 0.859542i
\(581\) −27.2364 177.248i −0.0468785 0.305075i
\(582\) 677.912 236.945i 1.16480 0.407121i
\(583\) 360.750 360.750i 0.618782 0.618782i
\(584\) 175.631 1027.14i 0.300738 1.75880i
\(585\) −63.1974 63.1974i −0.108030 0.108030i
\(586\) 420.277 871.931i 0.717197 1.48794i
\(587\) −24.3962 + 10.1052i −0.0415609 + 0.0172151i −0.403367 0.915038i \(-0.632160\pi\)
0.361806 + 0.932253i \(0.382160\pi\)
\(588\) 307.857 + 465.069i 0.523565 + 0.790933i
\(589\) 1192.60 + 493.989i 2.02478 + 0.838691i
\(590\) 213.620 + 12.0719i 0.362068 + 0.0204608i
\(591\) −675.379 −1.14277
\(592\) 343.630 57.8886i 0.580456 0.0977848i
\(593\) −1008.99 −1.70150 −0.850749 0.525572i \(-0.823851\pi\)
−0.850749 + 0.525572i \(0.823851\pi\)
\(594\) 728.362 + 41.1605i 1.22620 + 0.0692937i
\(595\) −290.014 212.757i −0.487418 0.357575i
\(596\) 249.574 71.7114i 0.418749 0.120321i
\(597\) −92.5446 223.422i −0.155016 0.374242i
\(598\) −1068.25 514.902i −1.78636 0.861040i
\(599\) 358.882 + 358.882i 0.599135 + 0.599135i 0.940082 0.340948i \(-0.110748\pi\)
−0.340948 + 0.940082i \(0.610748\pi\)
\(600\) −169.798 + 269.601i −0.282996 + 0.449335i
\(601\) −828.467 828.467i −1.37848 1.37848i −0.847189 0.531292i \(-0.821707\pi\)
−0.531292 0.847189i \(1.32171\pi\)
\(602\) −51.6183 535.933i −0.0857447 0.890254i
\(603\) −7.83216 + 3.24419i −0.0129887 + 0.00538008i
\(604\) 679.080 540.769i 1.12430 0.895312i
\(605\) 268.620 + 111.266i 0.443999 + 0.183911i
\(606\) −399.559 + 356.816i −0.659338 + 0.588805i
\(607\) 338.797i 0.558149i 0.960269 + 0.279075i \(0.0900277\pi\)
−0.960269 + 0.279075i \(0.909972\pi\)
\(608\) 690.383 76.5603i 1.13550 0.125922i
\(609\) −95.1933 + 388.608i −0.156311 + 0.638108i
\(610\) −869.645 + 776.613i −1.42565 + 1.27314i
\(611\) −32.2664 + 77.8979i −0.0528091 + 0.127492i
\(612\) −23.2430 + 18.5090i −0.0379787 + 0.0302434i
\(613\) 561.283 232.491i 0.915634 0.379268i 0.125423 0.992103i \(-0.459971\pi\)
0.790211 + 0.612835i \(0.209971\pi\)
\(614\) −272.189 + 95.1356i −0.443304 + 0.154944i
\(615\) 433.037 + 433.037i 0.704125 + 0.704125i
\(616\) 724.788 + 12.2379i 1.17660 + 0.0198667i
\(617\) 178.617 + 178.617i 0.289492 + 0.289492i 0.836879 0.547387i \(-0.184378\pi\)
−0.547387 + 0.836879i \(0.684378\pi\)
\(618\) −218.719 + 453.766i −0.353914 + 0.734249i
\(619\) 267.269 110.707i 0.431776 0.178847i −0.156201 0.987725i \(-0.549925\pi\)
0.587977 + 0.808878i \(0.299925\pi\)
\(620\) 410.219 + 1427.67i 0.661644 + 2.30269i
\(621\) −403.299 + 973.650i −0.649435 + 1.56787i
\(622\) −793.951 44.8670i −1.27645 0.0721334i
\(623\) −212.449 52.0415i −0.341010 0.0835337i
\(624\) 611.724 383.174i 0.980327 0.614061i
\(625\) 779.012i 1.24642i
\(626\) 26.2431 464.389i 0.0419219 0.741836i
\(627\) −738.692 305.976i −1.17814 0.488001i
\(628\) −158.899 + 287.030i −0.253024 + 0.457054i
\(629\) 165.568 68.5806i 0.263224 0.109031i
\(630\) −50.1992 + 60.8997i −0.0796813 + 0.0966662i
\(631\) 224.670 + 224.670i 0.356054 + 0.356054i 0.862356 0.506302i \(-0.168988\pi\)
−0.506302 + 0.862356i \(0.668988\pi\)
\(632\) −581.425 821.274i −0.919976 1.29948i
\(633\) −20.8275 20.8275i −0.0329028 0.0329028i
\(634\) −505.462 + 176.670i −0.797259 + 0.278659i
\(635\) 309.317 + 746.758i 0.487114 + 1.17600i
\(636\) −445.750 50.5410i −0.700865 0.0794669i
\(637\) 499.057 + 595.349i 0.783449 + 0.934613i
\(638\) 346.372 + 387.864i 0.542903 + 0.607938i
\(639\) −28.5063 −0.0446108
\(640\) 563.814 + 566.592i 0.880959 + 0.885300i
\(641\) 983.789 1.53477 0.767386 0.641185i \(-0.221557\pi\)
0.767386 + 0.641185i \(0.221557\pi\)
\(642\) 851.865 760.735i 1.32689 1.18495i
\(643\) −597.032 247.299i −0.928511 0.384602i −0.133397 0.991063i \(-0.542589\pi\)
−0.795113 + 0.606461i \(0.792589\pi\)
\(644\) −362.154 + 982.562i −0.562351 + 1.52572i
\(645\) −631.368 + 261.521i −0.978865 + 0.405459i
\(646\) 337.217 117.865i 0.522008 0.182453i
\(647\) −6.01032 6.01032i −0.00928952 0.00928952i 0.702447 0.711736i \(-0.252091\pi\)
−0.711736 + 0.702447i \(0.752091\pi\)
\(648\) −333.099 470.508i −0.514042 0.726093i
\(649\) −156.806 + 156.806i −0.241612 + 0.241612i
\(650\) −192.695 + 399.775i −0.296453 + 0.615039i
\(651\) −179.908 1170.80i −0.276356 1.79846i
\(652\) −616.660 341.381i −0.945797 0.523591i
\(653\) 12.8469 + 5.32137i 0.0196737 + 0.00814911i 0.392499 0.919753i \(-0.371611\pi\)
−0.372825 + 0.927902i \(0.621611\pi\)
\(654\) 24.4280 432.269i 0.0373517 0.660962i
\(655\) 309.756i 0.472909i
\(656\) 467.309 292.715i 0.712362 0.446212i
\(657\) −117.586 −0.178975
\(658\) 71.2027 + 21.7668i 0.108211 + 0.0330803i
\(659\) −536.835 222.364i −0.814620 0.337427i −0.0638243 0.997961i \(-0.520330\pi\)
−0.750796 + 0.660535i \(0.770330\pi\)
\(660\) −254.089 884.298i −0.384984 1.33985i
\(661\) 1131.08 468.510i 1.71117 0.708790i 0.711187 0.703003i \(-0.248158\pi\)
0.999983 0.00578751i \(-0.00184223\pi\)
\(662\) −95.8038 + 198.760i −0.144719 + 0.300242i
\(663\) 262.488 262.488i 0.395910 0.395910i
\(664\) 45.3945 + 199.857i 0.0683653 + 0.300989i
\(665\) 811.315 492.044i 1.22002 0.739916i
\(666\) −12.9743 37.1202i −0.0194809 0.0557361i
\(667\) −694.027 + 287.476i −1.04052 + 0.430998i
\(668\) −7.09403 + 5.64916i −0.0106198 + 0.00845682i
\(669\) 420.222 1014.51i 0.628134 1.51645i
\(670\) 78.1224 + 87.4808i 0.116601 + 0.130568i
\(671\) 1208.42i 1.80093i
\(672\) −388.592 505.257i −0.578263 0.751870i
\(673\) −631.845 −0.938848 −0.469424 0.882973i \(-0.655538\pi\)
−0.469424 + 0.882973i \(0.655538\pi\)
\(674\) −125.770 + 112.315i −0.186602 + 0.166640i
\(675\) 364.374 + 150.929i 0.539814 + 0.223598i
\(676\) 257.688 205.203i 0.381195 0.303555i
\(677\) 383.762 + 926.483i 0.566857 + 1.36851i 0.904191 + 0.427128i \(0.140475\pi\)
−0.337335 + 0.941385i \(0.609525\pi\)
\(678\) −189.716 + 66.3098i −0.279817 + 0.0978021i
\(679\) −458.038 755.243i −0.674578 1.11229i
\(680\) 347.831 + 219.068i 0.511517 + 0.322159i
\(681\) −642.149 642.149i −0.942950 0.942950i
\(682\) −1386.87 668.480i −2.03353 0.980176i
\(683\) 66.5040 + 160.555i 0.0973705 + 0.235073i 0.965058 0.262037i \(-0.0843944\pi\)
−0.867687 + 0.497110i \(0.834394\pi\)
\(684\) −21.6460 75.3337i −0.0316462 0.110137i
\(685\) −89.3499 + 215.710i −0.130438 + 0.314905i
\(686\) 481.052 489.065i 0.701243 0.712923i
\(687\) 836.827i 1.21809i
\(688\) 102.219 + 606.779i 0.148575 + 0.881947i
\(689\) −624.853 −0.906898
\(690\) 1327.03 + 74.9918i 1.92323 + 0.108684i
\(691\) −450.399 + 1087.36i −0.651807 + 1.57360i 0.158346 + 0.987384i \(0.449384\pi\)
−0.810153 + 0.586218i \(0.800616\pi\)
\(692\) 273.471 + 151.393i 0.395190 + 0.218776i
\(693\) −12.4235 80.8494i −0.0179271 0.116666i
\(694\) −533.097 256.957i −0.768152 0.370255i
\(695\) −756.165 756.165i −1.08801 1.08801i
\(696\) 77.0677 450.712i 0.110729 0.647575i
\(697\) 200.521 200.521i 0.287691 0.287691i
\(698\) 55.8778 + 159.869i 0.0800541 + 0.229039i
\(699\) −121.159 292.504i −0.173332 0.418461i
\(700\) 367.710 + 135.531i 0.525300 + 0.193616i
\(701\) −22.9991 + 55.5246i −0.0328089 + 0.0792077i −0.939435 0.342728i \(-0.888649\pi\)
0.906626 + 0.421936i \(0.138649\pi\)
\(702\) −595.149 666.443i −0.847790 0.949349i
\(703\) 472.761i 0.672491i
\(704\) −827.240 + 44.7088i −1.17506 + 0.0635068i
\(705\) 94.5036i 0.134048i
\(706\) −70.8919 + 63.3082i −0.100414 + 0.0896716i
\(707\) 531.263 + 389.739i 0.751432 + 0.551258i
\(708\) 193.753 + 21.9685i 0.273662 + 0.0310290i
\(709\) 437.459 181.202i 0.617009 0.255574i −0.0522130 0.998636i \(-0.516627\pi\)
0.669222 + 0.743062i \(0.266627\pi\)
\(710\) 130.126 + 372.299i 0.183277 + 0.524365i
\(711\) −80.2904 + 80.2904i −0.112926 + 0.112926i
\(712\) 246.401 + 42.1323i 0.346069 + 0.0591746i
\(713\) 1572.65 1572.65i 2.20568 2.20568i
\(714\) −252.945 208.501i −0.354265 0.292018i
\(715\) −490.430 1184.00i −0.685916 1.65595i
\(716\) 50.4421 91.1169i 0.0704498 0.127258i
\(717\) 452.291 1091.93i 0.630810 1.52291i
\(718\) −806.647 45.5845i −1.12346 0.0634881i
\(719\) 668.803 0.930184 0.465092 0.885262i \(-0.346021\pi\)
0.465092 + 0.885262i \(0.346021\pi\)
\(720\) 52.2977 73.4878i 0.0726357 0.102066i
\(721\) 601.784 + 147.413i 0.834652 + 0.204456i
\(722\) −12.4331 + 220.012i −0.0172204 + 0.304726i
\(723\) −277.546 114.963i −0.383881 0.159009i
\(724\) −7.04270 24.5105i −0.00972749 0.0338542i
\(725\) 107.584 + 259.730i 0.148391 + 0.358248i
\(726\) 238.697 + 115.054i 0.328784 + 0.158476i
\(727\) −570.615 + 570.615i −0.784890 + 0.784890i −0.980651 0.195762i \(-0.937282\pi\)
0.195762 + 0.980651i \(0.437282\pi\)
\(728\) −617.102 638.300i −0.847668 0.876785i
\(729\) −556.293 + 556.293i −0.763091 + 0.763091i
\(730\) 536.762 + 1535.71i 0.735290 + 2.10371i
\(731\) 121.099 + 292.359i 0.165662 + 0.399944i
\(732\) −831.227 + 661.927i −1.13556 + 0.904272i
\(733\) 205.500 + 85.1210i 0.280355 + 0.116127i 0.518430 0.855120i \(-0.326517\pi\)
−0.238075 + 0.971247i \(0.576517\pi\)
\(734\) 65.0016 + 72.7882i 0.0885580 + 0.0991665i
\(735\) −772.135 402.432i −1.05052 0.547527i
\(736\) 333.329 1149.42i 0.452892 1.56171i
\(737\) −121.560 −0.164939
\(738\) −41.4458 46.4107i −0.0561597 0.0628871i
\(739\) −72.3032 + 174.555i −0.0978393 + 0.236205i −0.965219 0.261441i \(-0.915802\pi\)
0.867380 + 0.497646i \(0.165802\pi\)
\(740\) −425.573 + 338.895i −0.575099 + 0.457966i
\(741\) 374.753 + 904.733i 0.505739 + 1.22096i
\(742\) 52.8996 + 549.236i 0.0712933 + 0.740210i
\(743\) 244.158 244.158i 0.328611 0.328611i −0.523447 0.852058i \(-0.675354\pi\)
0.852058 + 0.523447i \(0.175354\pi\)
\(744\) 299.850 + 1320.14i 0.403024 + 1.77438i
\(745\) −286.657 + 286.657i −0.384774 + 0.384774i
\(746\) 93.0643 193.076i 0.124751 0.258816i
\(747\) 21.3663 8.85020i 0.0286028 0.0118477i
\(748\) −409.480 + 117.658i −0.547433 + 0.157297i
\(749\) −1132.66 830.929i −1.51223 1.10938i
\(750\) −22.0646 + 390.448i −0.0294195 + 0.520597i
\(751\) 982.403i 1.30813i −0.756440 0.654063i \(-0.773063\pi\)
0.756440 0.654063i \(-0.226937\pi\)
\(752\) −82.9318 19.0512i −0.110282 0.0253341i
\(753\) 63.3378i 0.0841140i
\(754\) 35.9344 635.884i 0.0476584 0.843347i
\(755\) −518.627 + 1252.08i −0.686923 + 1.65838i
\(756\) −535.408 + 579.547i −0.708211 + 0.766597i
\(757\