Properties

Label 300.2.r.a.59.18
Level $300$
Weight $2$
Character 300.59
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.r (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(56\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 59.18
Character \(\chi\) \(=\) 300.59
Dual form 300.2.r.a.239.18

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.724994 - 1.21424i) q^{2} +(-1.03587 + 1.38816i) q^{3} +(-0.948767 + 1.76064i) q^{4} +(1.94623 - 1.10099i) q^{5} +(2.43656 + 0.251385i) q^{6} -2.63015 q^{7} +(2.82569 - 0.124420i) q^{8} +(-0.853964 - 2.87589i) q^{9} +O(q^{10})\) \(q+(-0.724994 - 1.21424i) q^{2} +(-1.03587 + 1.38816i) q^{3} +(-0.948767 + 1.76064i) q^{4} +(1.94623 - 1.10099i) q^{5} +(2.43656 + 0.251385i) q^{6} -2.63015 q^{7} +(2.82569 - 0.124420i) q^{8} +(-0.853964 - 2.87589i) q^{9} +(-2.74787 - 1.56499i) q^{10} +(0.908434 + 0.660016i) q^{11} +(-1.46125 - 3.14082i) q^{12} +(4.15899 + 5.72437i) q^{13} +(1.90685 + 3.19364i) q^{14} +(-0.487695 + 3.84215i) q^{15} +(-2.19968 - 3.34087i) q^{16} +(-1.53447 + 4.72262i) q^{17} +(-2.87291 + 3.12192i) q^{18} +(6.71489 + 2.18180i) q^{19} +(0.0919154 + 4.47119i) q^{20} +(2.72448 - 3.65107i) q^{21} +(0.142809 - 1.58157i) q^{22} +(-1.81587 + 2.49933i) q^{23} +(-2.75432 + 4.05138i) q^{24} +(2.57566 - 4.28556i) q^{25} +(3.93552 - 9.20016i) q^{26} +(4.87678 + 1.79360i) q^{27} +(2.49540 - 4.63074i) q^{28} +(-0.240777 + 0.0782332i) q^{29} +(5.01888 - 2.19336i) q^{30} +(4.71722 + 1.53272i) q^{31} +(-2.46186 + 5.09306i) q^{32} +(-1.85722 + 0.577362i) q^{33} +(6.84689 - 1.56065i) q^{34} +(-5.11889 + 2.89576i) q^{35} +(5.87361 + 1.22503i) q^{36} +(-2.57019 - 3.53756i) q^{37} +(-2.21902 - 9.73529i) q^{38} +(-12.2545 - 0.156333i) q^{39} +(5.36247 - 3.35320i) q^{40} +(2.13451 + 2.93790i) q^{41} +(-6.40851 - 0.661181i) q^{42} -7.40077 q^{43} +(-2.02394 + 0.973221i) q^{44} +(-4.82833 - 4.65695i) q^{45} +(4.35129 + 0.392905i) q^{46} +(9.30818 - 3.02441i) q^{47} +(6.91623 + 0.407181i) q^{48} -0.0823015 q^{49} +(-7.07104 - 0.0204672i) q^{50} +(-4.96624 - 7.02209i) q^{51} +(-14.0244 + 1.89139i) q^{52} +(0.355319 + 1.09356i) q^{53} +(-1.35777 - 7.22194i) q^{54} +(2.49469 + 0.284372i) q^{55} +(-7.43199 + 0.327243i) q^{56} +(-9.98440 + 7.06127i) q^{57} +(0.269556 + 0.235643i) q^{58} +(-1.37468 + 0.998760i) q^{59} +(-6.30193 - 4.50396i) q^{60} +(-3.31802 - 2.41068i) q^{61} +(-1.55887 - 6.83905i) q^{62} +(2.24605 + 7.56403i) q^{63} +(7.96904 - 0.703143i) q^{64} +(14.3968 + 6.56196i) q^{65} +(2.04753 + 1.83653i) q^{66} +(0.555298 - 1.70903i) q^{67} +(-6.85897 - 7.18232i) q^{68} +(-1.58847 - 5.10969i) q^{69} +(7.22732 + 4.11616i) q^{70} +(-2.17375 - 6.69012i) q^{71} +(-2.77085 - 8.02012i) q^{72} +(-1.35514 + 1.86519i) q^{73} +(-2.43208 + 5.68554i) q^{74} +(3.28099 + 8.01468i) q^{75} +(-10.2122 + 9.75246i) q^{76} +(-2.38932 - 1.73594i) q^{77} +(8.69460 + 14.9932i) q^{78} +(5.36703 - 1.74385i) q^{79} +(-7.95935 - 4.08029i) q^{80} +(-7.54149 + 4.91181i) q^{81} +(2.01981 - 4.72177i) q^{82} +(-8.73160 - 2.83707i) q^{83} +(3.84330 + 8.26084i) q^{84} +(2.21310 + 10.8808i) q^{85} +(5.36552 + 8.98632i) q^{86} +(0.140813 - 0.415276i) q^{87} +(2.64907 + 1.75197i) q^{88} +(-7.11762 + 9.79656i) q^{89} +(-2.15416 + 9.23903i) q^{90} +(-10.9388 - 15.0559i) q^{91} +(-2.67758 - 5.56837i) q^{92} +(-7.01406 + 4.96055i) q^{93} +(-10.4207 - 9.10970i) q^{94} +(15.4709 - 3.14671i) q^{95} +(-4.51981 - 8.69318i) q^{96} +(1.59344 - 0.517741i) q^{97} +(0.0596681 + 0.0999340i) q^{98} +(1.12236 - 3.17619i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224q - 6q^{4} - 7q^{6} - 6q^{9} + O(q^{10}) \) \( 224q - 6q^{4} - 7q^{6} - 6q^{9} - 5q^{12} - 20q^{13} + 6q^{16} - 24q^{21} - 10q^{22} - 28q^{24} - 20q^{25} - 50q^{28} - 25q^{30} - 10q^{33} - 14q^{34} - 25q^{36} - 60q^{37} - 20q^{40} - 85q^{42} - 30q^{45} + 6q^{46} - 70q^{48} + 88q^{49} + 40q^{52} - 46q^{54} + 50q^{58} + 10q^{60} - 28q^{61} + 18q^{64} + 64q^{66} - 42q^{69} - 40q^{70} - 5q^{72} - 20q^{73} - 80q^{76} - 85q^{78} + 18q^{81} - 48q^{84} - 20q^{85} + 50q^{88} - 60q^{90} + 60q^{94} + 44q^{96} - 120q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{7}{10}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.724994 1.21424i −0.512648 0.858599i
\(3\) −1.03587 + 1.38816i −0.598057 + 0.801453i
\(4\) −0.948767 + 1.76064i −0.474383 + 0.880318i
\(5\) 1.94623 1.10099i 0.870383 0.492376i
\(6\) 2.43656 + 0.251385i 0.994720 + 0.102628i
\(7\) −2.63015 −0.994104 −0.497052 0.867721i \(-0.665584\pi\)
−0.497052 + 0.867721i \(0.665584\pi\)
\(8\) 2.82569 0.124420i 0.999032 0.0439890i
\(9\) −0.853964 2.87589i −0.284655 0.958630i
\(10\) −2.74787 1.56499i −0.868954 0.494893i
\(11\) 0.908434 + 0.660016i 0.273903 + 0.199002i 0.716254 0.697840i \(-0.245855\pi\)
−0.442351 + 0.896842i \(0.645855\pi\)
\(12\) −1.46125 3.14082i −0.421826 0.906677i
\(13\) 4.15899 + 5.72437i 1.15350 + 1.58765i 0.732787 + 0.680459i \(0.238219\pi\)
0.420711 + 0.907195i \(0.361781\pi\)
\(14\) 1.90685 + 3.19364i 0.509626 + 0.853536i
\(15\) −0.487695 + 3.84215i −0.125922 + 0.992040i
\(16\) −2.19968 3.34087i −0.549921 0.835217i
\(17\) −1.53447 + 4.72262i −0.372164 + 1.14540i 0.573207 + 0.819410i \(0.305699\pi\)
−0.945372 + 0.325994i \(0.894301\pi\)
\(18\) −2.87291 + 3.12192i −0.677151 + 0.735844i
\(19\) 6.71489 + 2.18180i 1.54050 + 0.500539i 0.951515 0.307604i \(-0.0995271\pi\)
0.588986 + 0.808143i \(0.299527\pi\)
\(20\) 0.0919154 + 4.47119i 0.0205529 + 0.999789i
\(21\) 2.72448 3.65107i 0.594531 0.796728i
\(22\) 0.142809 1.58157i 0.0304471 0.337191i
\(23\) −1.81587 + 2.49933i −0.378635 + 0.521147i −0.955222 0.295889i \(-0.904384\pi\)
0.576587 + 0.817036i \(0.304384\pi\)
\(24\) −2.75432 + 4.05138i −0.562223 + 0.826985i
\(25\) 2.57566 4.28556i 0.515131 0.857111i
\(26\) 3.93552 9.20016i 0.771818 1.80430i
\(27\) 4.87678 + 1.79360i 0.938537 + 0.345178i
\(28\) 2.49540 4.63074i 0.471586 0.875128i
\(29\) −0.240777 + 0.0782332i −0.0447112 + 0.0145275i −0.331287 0.943530i \(-0.607483\pi\)
0.286576 + 0.958058i \(0.407483\pi\)
\(30\) 5.01888 2.19336i 0.916318 0.400451i
\(31\) 4.71722 + 1.53272i 0.847237 + 0.275284i 0.700288 0.713860i \(-0.253055\pi\)
0.146949 + 0.989144i \(0.453055\pi\)
\(32\) −2.46186 + 5.09306i −0.435200 + 0.900334i
\(33\) −1.85722 + 0.577362i −0.323301 + 0.100506i
\(34\) 6.84689 1.56065i 1.17423 0.267650i
\(35\) −5.11889 + 2.89576i −0.865251 + 0.489473i
\(36\) 5.87361 + 1.22503i 0.978935 + 0.204171i
\(37\) −2.57019 3.53756i −0.422536 0.581571i 0.543684 0.839290i \(-0.317029\pi\)
−0.966220 + 0.257719i \(0.917029\pi\)
\(38\) −2.21902 9.73529i −0.359973 1.57927i
\(39\) −12.2545 0.156333i −1.96229 0.0250334i
\(40\) 5.36247 3.35320i 0.847881 0.530187i
\(41\) 2.13451 + 2.93790i 0.333354 + 0.458823i 0.942486 0.334247i \(-0.108482\pi\)
−0.609131 + 0.793069i \(0.708482\pi\)
\(42\) −6.40851 0.661181i −0.988855 0.102022i
\(43\) −7.40077 −1.12861 −0.564303 0.825567i \(-0.690855\pi\)
−0.564303 + 0.825567i \(0.690855\pi\)
\(44\) −2.02394 + 0.973221i −0.305120 + 0.146719i
\(45\) −4.82833 4.65695i −0.719765 0.694218i
\(46\) 4.35129 + 0.392905i 0.641563 + 0.0579307i
\(47\) 9.30818 3.02441i 1.35774 0.441156i 0.462451 0.886645i \(-0.346970\pi\)
0.895287 + 0.445489i \(0.146970\pi\)
\(48\) 6.91623 + 0.407181i 0.998271 + 0.0587715i
\(49\) −0.0823015 −0.0117574
\(50\) −7.07104 0.0204672i −0.999996 0.00289449i
\(51\) −4.96624 7.02209i −0.695412 0.983290i
\(52\) −14.0244 + 1.89139i −1.94484 + 0.262289i
\(53\) 0.355319 + 1.09356i 0.0488068 + 0.150212i 0.972490 0.232946i \(-0.0748366\pi\)
−0.923683 + 0.383158i \(0.874837\pi\)
\(54\) −1.35777 7.22194i −0.184770 0.982782i
\(55\) 2.49469 + 0.284372i 0.336384 + 0.0383447i
\(56\) −7.43199 + 0.327243i −0.993142 + 0.0437296i
\(57\) −9.98440 + 7.06127i −1.32247 + 0.935288i
\(58\) 0.269556 + 0.235643i 0.0353944 + 0.0309414i
\(59\) −1.37468 + 0.998760i −0.178967 + 0.130027i −0.673662 0.739039i \(-0.735280\pi\)
0.494695 + 0.869067i \(0.335280\pi\)
\(60\) −6.30193 4.50396i −0.813576 0.581459i
\(61\) −3.31802 2.41068i −0.424829 0.308656i 0.354749 0.934962i \(-0.384566\pi\)
−0.779578 + 0.626305i \(0.784566\pi\)
\(62\) −1.55887 6.83905i −0.197976 0.868560i
\(63\) 2.24605 + 7.56403i 0.282976 + 0.952978i
\(64\) 7.96904 0.703143i 0.996130 0.0878929i
\(65\) 14.3968 + 6.56196i 1.78571 + 0.813911i
\(66\) 2.04753 + 1.83653i 0.252034 + 0.226061i
\(67\) 0.555298 1.70903i 0.0678404 0.208791i −0.911389 0.411545i \(-0.864989\pi\)
0.979230 + 0.202754i \(0.0649892\pi\)
\(68\) −6.85897 7.18232i −0.831772 0.870984i
\(69\) −1.58847 5.10969i −0.191229 0.615134i
\(70\) 7.22732 + 4.11616i 0.863830 + 0.491975i
\(71\) −2.17375 6.69012i −0.257977 0.793971i −0.993229 0.116177i \(-0.962936\pi\)
0.735252 0.677794i \(-0.237064\pi\)
\(72\) −2.77085 8.02012i −0.326548 0.945181i
\(73\) −1.35514 + 1.86519i −0.158607 + 0.218304i −0.880924 0.473259i \(-0.843078\pi\)
0.722316 + 0.691563i \(0.243078\pi\)
\(74\) −2.43208 + 5.68554i −0.282724 + 0.660931i
\(75\) 3.28099 + 8.01468i 0.378856 + 0.925455i
\(76\) −10.2122 + 9.75246i −1.17142 + 1.11868i
\(77\) −2.38932 1.73594i −0.272288 0.197829i
\(78\) 8.69460 + 14.9932i 0.984470 + 1.69765i
\(79\) 5.36703 1.74385i 0.603838 0.196199i 0.00888659 0.999961i \(-0.497171\pi\)
0.594951 + 0.803762i \(0.297171\pi\)
\(80\) −7.95935 4.08029i −0.889882 0.456190i
\(81\) −7.54149 + 4.91181i −0.837943 + 0.545757i
\(82\) 2.01981 4.72177i 0.223051 0.521432i
\(83\) −8.73160 2.83707i −0.958418 0.311409i −0.212286 0.977208i \(-0.568091\pi\)
−0.746131 + 0.665799i \(0.768091\pi\)
\(84\) 3.84330 + 8.26084i 0.419339 + 0.901331i
\(85\) 2.21310 + 10.8808i 0.240044 + 1.18018i
\(86\) 5.36552 + 8.98632i 0.578578 + 0.969020i
\(87\) 0.140813 0.415276i 0.0150967 0.0445222i
\(88\) 2.64907 + 1.75197i 0.282392 + 0.186761i
\(89\) −7.11762 + 9.79656i −0.754466 + 1.03843i 0.243188 + 0.969979i \(0.421807\pi\)
−0.997654 + 0.0684541i \(0.978193\pi\)
\(90\) −2.15416 + 9.23903i −0.227068 + 0.973879i
\(91\) −10.9388 15.0559i −1.14670 1.57829i
\(92\) −2.67758 5.56837i −0.279157 0.580543i
\(93\) −7.01406 + 4.96055i −0.727324 + 0.514385i
\(94\) −10.4207 9.10970i −1.07482 0.939594i
\(95\) 15.4709 3.14671i 1.58728 0.322845i
\(96\) −4.51981 8.69318i −0.461301 0.887244i
\(97\) 1.59344 0.517741i 0.161790 0.0525686i −0.227002 0.973894i \(-0.572892\pi\)
0.388792 + 0.921326i \(0.372892\pi\)
\(98\) 0.0596681 + 0.0999340i 0.00602739 + 0.0100949i
\(99\) 1.12236 3.17619i 0.112802 0.319219i
\(100\) 5.10161 + 8.60079i 0.510161 + 0.860079i
\(101\) 1.05180i 0.104658i 0.998630 + 0.0523288i \(0.0166644\pi\)
−0.998630 + 0.0523288i \(0.983336\pi\)
\(102\) −4.92603 + 11.1212i −0.487749 + 1.10116i
\(103\) −1.57304 4.84133i −0.154997 0.477030i 0.843164 0.537657i \(-0.180690\pi\)
−0.998161 + 0.0606261i \(0.980690\pi\)
\(104\) 12.4643 + 15.6578i 1.22222 + 1.53538i
\(105\) 1.28271 10.1055i 0.125180 0.986191i
\(106\) 1.07024 1.22427i 0.103951 0.118911i
\(107\) 11.2872i 1.09117i −0.838054 0.545587i \(-0.816307\pi\)
0.838054 0.545587i \(-0.183693\pi\)
\(108\) −7.78481 + 6.88453i −0.749093 + 0.662465i
\(109\) 11.8212 8.58863i 1.13227 0.822642i 0.146246 0.989248i \(-0.453281\pi\)
0.986023 + 0.166606i \(0.0532809\pi\)
\(110\) −1.46334 3.23533i −0.139524 0.308477i
\(111\) 7.57306 + 0.0966114i 0.718803 + 0.00916995i
\(112\) 5.78550 + 8.78699i 0.546679 + 0.830292i
\(113\) −0.338001 + 0.245572i −0.0317964 + 0.0231015i −0.603570 0.797310i \(-0.706256\pi\)
0.571774 + 0.820411i \(0.306256\pi\)
\(114\) 15.8127 + 7.00410i 1.48100 + 0.655994i
\(115\) −0.782380 + 6.86353i −0.0729573 + 0.640028i
\(116\) 0.0907009 0.498146i 0.00842137 0.0462517i
\(117\) 12.9110 16.8492i 1.19362 1.55771i
\(118\) 2.20937 + 0.945093i 0.203389 + 0.0870028i
\(119\) 4.03590 12.4212i 0.369970 1.13865i
\(120\) −0.900034 + 10.9174i −0.0821615 + 0.996619i
\(121\) −3.00956 9.26246i −0.273596 0.842042i
\(122\) −0.521606 + 5.77661i −0.0472240 + 0.522990i
\(123\) −6.28933 0.0802346i −0.567090 0.00723451i
\(124\) −7.17409 + 6.85111i −0.644253 + 0.615248i
\(125\) 0.294494 11.1765i 0.0263403 0.999653i
\(126\) 7.55618 8.21113i 0.673158 0.731506i
\(127\) −4.02987 2.92787i −0.357593 0.259806i 0.394455 0.918915i \(-0.370934\pi\)
−0.752047 + 0.659109i \(0.770934\pi\)
\(128\) −6.63129 9.16657i −0.586129 0.810218i
\(129\) 7.66620 10.2734i 0.674972 0.904526i
\(130\) −2.46981 22.2386i −0.216617 1.95046i
\(131\) −3.79895 + 11.6920i −0.331916 + 1.02153i 0.636305 + 0.771438i \(0.280462\pi\)
−0.968221 + 0.250095i \(0.919538\pi\)
\(132\) 0.745545 3.81767i 0.0648914 0.332286i
\(133\) −17.6612 5.73846i −1.53142 0.497588i
\(134\) −2.47777 + 0.564772i −0.214046 + 0.0487889i
\(135\) 11.4661 1.87850i 0.986844 0.161676i
\(136\) −3.74836 + 13.5356i −0.321419 + 1.16067i
\(137\) 9.02585 6.55766i 0.771131 0.560259i −0.131174 0.991359i \(-0.541874\pi\)
0.902304 + 0.431100i \(0.141874\pi\)
\(138\) −5.05277 + 5.63328i −0.430120 + 0.479537i
\(139\) 5.92738 8.15834i 0.502754 0.691982i −0.479922 0.877311i \(-0.659335\pi\)
0.982676 + 0.185329i \(0.0593352\pi\)
\(140\) −0.241751 11.7599i −0.0204317 0.993894i
\(141\) −5.44367 + 16.0541i −0.458440 + 1.35200i
\(142\) −6.54746 + 7.48976i −0.549451 + 0.628526i
\(143\) 7.94521i 0.664412i
\(144\) −7.72952 + 9.17903i −0.644126 + 0.764919i
\(145\) −0.382475 + 0.417352i −0.0317628 + 0.0346592i
\(146\) 3.24727 + 0.293216i 0.268746 + 0.0242667i
\(147\) 0.0852534 0.114248i 0.00703158 0.00942298i
\(148\) 8.66687 1.16885i 0.712412 0.0960788i
\(149\) 1.07076i 0.0877200i 0.999038 + 0.0438600i \(0.0139656\pi\)
−0.999038 + 0.0438600i \(0.986034\pi\)
\(150\) 7.35306 9.79452i 0.600375 0.799719i
\(151\) 8.74944i 0.712019i 0.934482 + 0.356010i \(0.115863\pi\)
−0.934482 + 0.356010i \(0.884137\pi\)
\(152\) 19.2456 + 5.32962i 1.56103 + 0.432289i
\(153\) 14.8921 + 0.380027i 1.20396 + 0.0307234i
\(154\) −0.375610 + 4.15976i −0.0302676 + 0.335203i
\(155\) 10.8683 2.21057i 0.872964 0.177557i
\(156\) 11.9019 21.4274i 0.952914 1.71556i
\(157\) 2.09182i 0.166945i 0.996510 + 0.0834727i \(0.0266011\pi\)
−0.996510 + 0.0834727i \(0.973399\pi\)
\(158\) −6.00853 5.25259i −0.478013 0.417873i
\(159\) −1.88609 0.639541i −0.149577 0.0507189i
\(160\) 0.816029 + 12.6228i 0.0645127 + 0.997917i
\(161\) 4.77602 6.57362i 0.376403 0.518074i
\(162\) 11.4317 + 5.59616i 0.898157 + 0.439676i
\(163\) −8.04275 + 5.84340i −0.629957 + 0.457691i −0.856385 0.516337i \(-0.827295\pi\)
0.226428 + 0.974028i \(0.427295\pi\)
\(164\) −7.19772 + 0.970714i −0.562048 + 0.0758000i
\(165\) −2.97892 + 3.16846i −0.231909 + 0.246664i
\(166\) 2.88547 + 12.6591i 0.223956 + 0.982539i
\(167\) 19.9594 + 6.48519i 1.54450 + 0.501839i 0.952614 0.304180i \(-0.0983826\pi\)
0.591888 + 0.806020i \(0.298383\pi\)
\(168\) 7.24428 10.6558i 0.558908 0.822109i
\(169\) −11.4539 + 35.2515i −0.881069 + 2.71165i
\(170\) 11.6074 10.5757i 0.890247 0.811122i
\(171\) 0.540344 21.1745i 0.0413211 1.61925i
\(172\) 7.02160 13.0301i 0.535392 0.993533i
\(173\) 7.84149 + 5.69717i 0.596177 + 0.433148i 0.844520 0.535524i \(-0.179886\pi\)
−0.248343 + 0.968672i \(0.579886\pi\)
\(174\) −0.606334 + 0.130092i −0.0459660 + 0.00986224i
\(175\) −6.77437 + 11.2717i −0.512094 + 0.852058i
\(176\) 0.206757 4.48678i 0.0155849 0.338204i
\(177\) 0.0375426 2.94285i 0.00282188 0.221198i
\(178\) 17.0556 + 1.54006i 1.27837 + 0.115432i
\(179\) −1.49678 4.60660i −0.111874 0.344314i 0.879408 0.476069i \(-0.157939\pi\)
−0.991282 + 0.131755i \(0.957939\pi\)
\(180\) 12.7802 4.08257i 0.952577 0.304297i
\(181\) 3.10362 9.55197i 0.230691 0.709993i −0.766973 0.641679i \(-0.778238\pi\)
0.997664 0.0683137i \(-0.0217619\pi\)
\(182\) −10.3510 + 24.1978i −0.767268 + 1.79366i
\(183\) 6.78343 2.10879i 0.501446 0.155886i
\(184\) −4.82012 + 7.28826i −0.355344 + 0.537298i
\(185\) −8.89700 4.05518i −0.654120 0.298143i
\(186\) 11.1085 + 4.92039i 0.814512 + 0.360780i
\(187\) −4.51097 + 3.27741i −0.329875 + 0.239668i
\(188\) −3.50640 + 19.2578i −0.255731 + 1.40452i
\(189\) −12.8267 4.71744i −0.933003 0.343143i
\(190\) −15.0372 16.5040i −1.09091 1.19733i
\(191\) −15.7612 + 11.4511i −1.14044 + 0.828576i −0.987180 0.159610i \(-0.948976\pi\)
−0.153257 + 0.988186i \(0.548976\pi\)
\(192\) −7.27878 + 11.7906i −0.525301 + 0.850917i
\(193\) 3.72982i 0.268478i 0.990949 + 0.134239i \(0.0428590\pi\)
−0.990949 + 0.134239i \(0.957141\pi\)
\(194\) −1.78390 1.55947i −0.128077 0.111963i
\(195\) −24.0222 + 13.1878i −1.72027 + 0.944395i
\(196\) 0.0780849 0.144903i 0.00557750 0.0103502i
\(197\) 1.87126 + 5.75914i 0.133322 + 0.410322i 0.995325 0.0965806i \(-0.0307906\pi\)
−0.862004 + 0.506902i \(0.830791\pi\)
\(198\) −4.67036 + 0.939896i −0.331908 + 0.0667955i
\(199\) 4.07539i 0.288896i −0.989512 0.144448i \(-0.953859\pi\)
0.989512 0.144448i \(-0.0461407\pi\)
\(200\) 6.74480 12.4301i 0.476929 0.878942i
\(201\) 1.79719 + 2.54117i 0.126764 + 0.179240i
\(202\) 1.27713 0.762546i 0.0898589 0.0536525i
\(203\) 0.633280 0.205765i 0.0444476 0.0144419i
\(204\) 17.0752 2.08141i 1.19550 0.145728i
\(205\) 7.38884 + 3.36777i 0.516059 + 0.235216i
\(206\) −4.73810 + 5.41999i −0.330119 + 0.377629i
\(207\) 8.73849 + 3.08791i 0.607367 + 0.214624i
\(208\) 9.97587 26.4864i 0.691702 1.83650i
\(209\) 4.66001 + 6.41395i 0.322340 + 0.443662i
\(210\) −13.2004 + 5.76887i −0.910915 + 0.398090i
\(211\) 5.14590 7.08272i 0.354258 0.487594i −0.594280 0.804258i \(-0.702563\pi\)
0.948538 + 0.316664i \(0.102563\pi\)
\(212\) −2.26247 0.411944i −0.155387 0.0282924i
\(213\) 11.5387 + 3.91256i 0.790616 + 0.268084i
\(214\) −13.7054 + 8.18316i −0.936881 + 0.559389i
\(215\) −14.4036 + 8.14815i −0.982320 + 0.555699i
\(216\) 14.0034 + 4.46139i 0.952813 + 0.303559i
\(217\) −12.4070 4.03128i −0.842242 0.273661i
\(218\) −18.9990 8.12713i −1.28678 0.550439i
\(219\) −1.18544 3.81324i −0.0801044 0.257675i
\(220\) −2.86756 + 4.12245i −0.193331 + 0.277935i
\(221\) −33.4159 + 10.8575i −2.24780 + 0.730353i
\(222\) −5.37312 9.26557i −0.360620 0.621864i
\(223\) 2.60197 + 1.89044i 0.174241 + 0.126593i 0.671488 0.741016i \(-0.265656\pi\)
−0.497247 + 0.867609i \(0.665656\pi\)
\(224\) 6.47507 13.3955i 0.432634 0.895026i
\(225\) −14.5243 3.74760i −0.968287 0.249840i
\(226\) 0.543232 + 0.232376i 0.0361353 + 0.0154574i
\(227\) 6.51885 8.97243i 0.432671 0.595521i −0.535893 0.844286i \(-0.680025\pi\)
0.968564 + 0.248765i \(0.0800248\pi\)
\(228\) −2.95947 24.2784i −0.195996 1.60788i
\(229\) −2.00759 6.17873i −0.132665 0.408302i 0.862554 0.505965i \(-0.168863\pi\)
−0.995220 + 0.0976628i \(0.968863\pi\)
\(230\) 8.90121 4.02603i 0.586929 0.265468i
\(231\) 4.88477 1.51855i 0.321395 0.0999132i
\(232\) −0.670627 + 0.251020i −0.0440288 + 0.0164803i
\(233\) 5.04864 15.5381i 0.330748 1.01794i −0.638031 0.770010i \(-0.720251\pi\)
0.968779 0.247926i \(-0.0797491\pi\)
\(234\) −29.8194 3.46151i −1.94936 0.226286i
\(235\) 14.7861 16.1344i 0.964537 1.05249i
\(236\) −0.454208 3.36789i −0.0295664 0.219231i
\(237\) −3.13878 + 9.25668i −0.203886 + 0.601286i
\(238\) −18.0084 + 4.10475i −1.16731 + 0.266072i
\(239\) 15.0252 + 10.9165i 0.971902 + 0.706128i 0.955884 0.293744i \(-0.0949012\pi\)
0.0160176 + 0.999872i \(0.494901\pi\)
\(240\) 13.9089 6.82220i 0.897816 0.440371i
\(241\) −8.82348 + 6.41063i −0.568370 + 0.412945i −0.834513 0.550988i \(-0.814251\pi\)
0.266143 + 0.963934i \(0.414251\pi\)
\(242\) −9.06496 + 10.3696i −0.582717 + 0.666581i
\(243\) 0.993601 15.5568i 0.0637396 0.997967i
\(244\) 7.39237 3.55465i 0.473248 0.227563i
\(245\) −0.160178 + 0.0906129i −0.0102334 + 0.00578905i
\(246\) 4.46230 + 7.69494i 0.284506 + 0.490611i
\(247\) 15.4378 + 47.5126i 0.982282 + 3.02315i
\(248\) 13.5201 + 3.74407i 0.858526 + 0.237748i
\(249\) 12.9831 9.18202i 0.822768 0.581887i
\(250\) −13.7844 + 7.74528i −0.871804 + 0.489855i
\(251\) −14.4760 −0.913715 −0.456858 0.889540i \(-0.651025\pi\)
−0.456858 + 0.889540i \(0.651025\pi\)
\(252\) −15.4485 3.22201i −0.973163 0.202968i
\(253\) −3.29920 + 1.07197i −0.207419 + 0.0673944i
\(254\) −0.633511 + 7.01592i −0.0397500 + 0.440218i
\(255\) −17.3967 8.19888i −1.08942 0.513434i
\(256\) −6.32278 + 14.6977i −0.395174 + 0.918606i
\(257\) 3.60686 0.224989 0.112495 0.993652i \(-0.464116\pi\)
0.112495 + 0.993652i \(0.464116\pi\)
\(258\) −18.0324 1.86044i −1.12265 0.115826i
\(259\) 6.75999 + 9.30432i 0.420045 + 0.578142i
\(260\) −25.2125 + 19.1218i −1.56361 + 1.18588i
\(261\) 0.430605 + 0.625640i 0.0266538 + 0.0387262i
\(262\) 16.9511 3.86377i 1.04724 0.238704i
\(263\) −0.296395 0.407953i −0.0182765 0.0251555i 0.799781 0.600292i \(-0.204949\pi\)
−0.818057 + 0.575136i \(0.804949\pi\)
\(264\) −5.17610 + 1.86252i −0.318567 + 0.114630i
\(265\) 1.89553 + 1.73712i 0.116441 + 0.106710i
\(266\) 5.83637 + 25.6053i 0.357851 + 1.56996i
\(267\) −6.22627 20.0283i −0.381042 1.22571i
\(268\) 2.48214 + 2.59915i 0.151621 + 0.158768i
\(269\) −0.145643 0.0473224i −0.00888003 0.00288530i 0.304574 0.952489i \(-0.401486\pi\)
−0.313454 + 0.949604i \(0.601486\pi\)
\(270\) −10.5938 12.5607i −0.644719 0.764420i
\(271\) −12.7960 + 4.15766i −0.777299 + 0.252560i −0.670686 0.741741i \(-0.734000\pi\)
−0.106612 + 0.994301i \(0.534000\pi\)
\(272\) 19.1530 5.26181i 1.16132 0.319044i
\(273\) 32.2311 + 0.411181i 1.95072 + 0.0248858i
\(274\) −14.5063 6.20530i −0.876357 0.374876i
\(275\) 5.16835 2.19317i 0.311663 0.132253i
\(276\) 10.5034 + 2.05118i 0.632230 + 0.123467i
\(277\) 16.9554 23.3371i 1.01875 1.40219i 0.105672 0.994401i \(-0.466301\pi\)
0.913077 0.407787i \(-0.133699\pi\)
\(278\) −14.2035 1.28252i −0.851871 0.0769207i
\(279\) 0.379592 14.8751i 0.0227256 0.890548i
\(280\) −14.1041 + 8.81941i −0.842882 + 0.527061i
\(281\) −0.565777 0.183832i −0.0337514 0.0109665i 0.292093 0.956390i \(-0.405648\pi\)
−0.325844 + 0.945424i \(0.605648\pi\)
\(282\) 23.4402 5.02921i 1.39584 0.299485i
\(283\) 5.89041 18.1288i 0.350149 1.07765i −0.608620 0.793461i \(-0.708277\pi\)
0.958769 0.284186i \(-0.0917232\pi\)
\(284\) 13.8413 + 2.52017i 0.821327 + 0.149545i
\(285\) −11.6576 + 24.7356i −0.690538 + 1.46521i
\(286\) 9.64740 5.76023i 0.570463 0.340610i
\(287\) −5.61408 7.72712i −0.331389 0.456117i
\(288\) 16.7494 + 2.73076i 0.986969 + 0.160911i
\(289\) −6.19527 4.50113i −0.364428 0.264772i
\(290\) 0.784059 + 0.161839i 0.0460415 + 0.00950351i
\(291\) −0.931887 + 2.74826i −0.0546282 + 0.161106i
\(292\) −1.99822 4.15555i −0.116937 0.243185i
\(293\) 7.03851 0.411194 0.205597 0.978637i \(-0.434086\pi\)
0.205597 + 0.978637i \(0.434086\pi\)
\(294\) −0.200532 0.0206894i −0.0116953 0.00120663i
\(295\) −1.57582 + 3.45732i −0.0917477 + 0.201293i
\(296\) −7.70270 9.67626i −0.447710 0.562421i
\(297\) 3.24643 + 4.84812i 0.188377 + 0.281316i
\(298\) 1.30016 0.776295i 0.0753163 0.0449695i
\(299\) −21.8593 −1.26415
\(300\) −17.2238 1.82742i −0.994419 0.105506i
\(301\) 19.4651 1.12195
\(302\) 10.6239 6.34329i 0.611339 0.365016i
\(303\) −1.46006 1.08952i −0.0838782 0.0625912i
\(304\) −7.48153 27.2328i −0.429095 1.56191i
\(305\) −9.11178 1.03866i −0.521739 0.0594734i
\(306\) −10.3353 18.3582i −0.590828 1.04947i
\(307\) −23.4386 −1.33771 −0.668854 0.743393i \(-0.733215\pi\)
−0.668854 + 0.743393i \(0.733215\pi\)
\(308\) 5.32327 2.55972i 0.303321 0.145854i
\(309\) 8.34999 + 2.83134i 0.475014 + 0.161069i
\(310\) −10.5636 11.5941i −0.599974 0.658501i
\(311\) 2.01775 + 1.46598i 0.114416 + 0.0831280i 0.643522 0.765428i \(-0.277473\pi\)
−0.529106 + 0.848556i \(0.677473\pi\)
\(312\) −34.6468 + 1.08295i −1.96149 + 0.0613099i
\(313\) −12.8727 17.7178i −0.727609 1.00147i −0.999237 0.0390656i \(-0.987562\pi\)
0.271627 0.962402i \(-0.412438\pi\)
\(314\) 2.53997 1.51656i 0.143339 0.0855843i
\(315\) 12.6992 + 12.2485i 0.715521 + 0.690125i
\(316\) −2.02177 + 11.1039i −0.113733 + 0.624643i
\(317\) 1.52336 4.68843i 0.0855606 0.263328i −0.899118 0.437706i \(-0.855791\pi\)
0.984679 + 0.174377i \(0.0557912\pi\)
\(318\) 0.590849 + 2.75384i 0.0331332 + 0.154428i
\(319\) −0.270365 0.0878470i −0.0151375 0.00491849i
\(320\) 14.7355 10.1423i 0.823738 0.566971i
\(321\) 15.6684 + 11.6920i 0.874526 + 0.652585i
\(322\) −11.4446 1.03340i −0.637780 0.0575891i
\(323\) −20.6076 + 28.3640i −1.14664 + 1.57821i
\(324\) −1.49281 17.9380i −0.0829336 0.996555i
\(325\) 35.2442 3.07960i 1.95500 0.170826i
\(326\) 12.9263 + 5.52941i 0.715919 + 0.306246i
\(327\) −0.322840 + 25.3064i −0.0178531 + 1.39945i
\(328\) 6.39699 + 8.03601i 0.353215 + 0.443715i
\(329\) −24.4819 + 7.95466i −1.34973 + 0.438555i
\(330\) 6.00697 + 1.32002i 0.330673 + 0.0726646i
\(331\) 6.52289 + 2.11942i 0.358530 + 0.116494i 0.482743 0.875762i \(-0.339640\pi\)
−0.124213 + 0.992256i \(0.539640\pi\)
\(332\) 13.2793 12.6815i 0.728796 0.695986i
\(333\) −7.97879 + 10.4125i −0.437235 + 0.570603i
\(334\) −6.59584 28.9372i −0.360908 1.58338i
\(335\) −0.800881 3.93755i −0.0437568 0.215131i
\(336\) −18.1907 1.07095i −0.992386 0.0584250i
\(337\) −16.5443 22.7713i −0.901225 1.24043i −0.970076 0.242803i \(-0.921933\pi\)
0.0688506 0.997627i \(-0.478067\pi\)
\(338\) 51.1078 11.6493i 2.77990 0.633639i
\(339\) 0.00923086 0.723578i 0.000501352 0.0392993i
\(340\) −21.2568 6.42684i −1.15281 0.348544i
\(341\) 3.27366 + 4.50581i 0.177279 + 0.244003i
\(342\) −26.1027 + 14.6953i −1.41147 + 0.794628i
\(343\) 18.6275 1.00579
\(344\) −20.9123 + 0.920802i −1.12751 + 0.0496463i
\(345\) −8.71723 8.19577i −0.469320 0.441245i
\(346\) 1.23271 13.6519i 0.0662711 0.733929i
\(347\) −34.9390 + 11.3524i −1.87562 + 0.609426i −0.886417 + 0.462888i \(0.846813\pi\)
−0.989205 + 0.146538i \(0.953187\pi\)
\(348\) 0.597551 + 0.641920i 0.0320321 + 0.0344105i
\(349\) 2.33175 0.124816 0.0624078 0.998051i \(-0.480122\pi\)
0.0624078 + 0.998051i \(0.480122\pi\)
\(350\) 18.5979 + 0.0538317i 0.994100 + 0.00287743i
\(351\) 10.0153 + 35.3761i 0.534577 + 1.88823i
\(352\) −5.59794 + 3.00184i −0.298371 + 0.159999i
\(353\) −7.50581 23.1005i −0.399494 1.22952i −0.925406 0.378977i \(-0.876276\pi\)
0.525912 0.850539i \(-0.323724\pi\)
\(354\) −3.60055 + 2.08796i −0.191367 + 0.110974i
\(355\) −11.5964 10.6273i −0.615471 0.564037i
\(356\) −10.4952 21.8262i −0.556246 1.15679i
\(357\) 13.0620 + 18.4692i 0.691312 + 0.977492i
\(358\) −4.50837 + 5.15721i −0.238275 + 0.272567i
\(359\) 19.4805 14.1534i 1.02814 0.746988i 0.0602046 0.998186i \(-0.480825\pi\)
0.967936 + 0.251198i \(0.0808247\pi\)
\(360\) −14.2228 12.5584i −0.749606 0.661884i
\(361\) 24.9581 + 18.1332i 1.31359 + 0.954377i
\(362\) −13.8485 + 3.15658i −0.727862 + 0.165906i
\(363\) 15.9753 + 5.41693i 0.838483 + 0.284315i
\(364\) 36.8864 4.97465i 1.93337 0.260743i
\(365\) −0.583872 + 5.12210i −0.0305613 + 0.268103i
\(366\) −7.47853 6.70787i −0.390909 0.350626i
\(367\) 7.51175 23.1188i 0.392110 1.20679i −0.539079 0.842255i \(-0.681228\pi\)
0.931189 0.364536i \(-0.118772\pi\)
\(368\) 12.3443 + 0.568841i 0.643490 + 0.0296529i
\(369\) 6.62628 8.64747i 0.344950 0.450169i
\(370\) 1.52630 + 13.7431i 0.0793487 + 0.714469i
\(371\) −0.934542 2.87622i −0.0485190 0.149326i
\(372\) −2.07903 17.0556i −0.107793 0.884292i
\(373\) −12.8117 + 17.6338i −0.663363 + 0.913041i −0.999587 0.0287408i \(-0.990850\pi\)
0.336223 + 0.941782i \(0.390850\pi\)
\(374\) 7.25000 + 3.10131i 0.374889 + 0.160365i
\(375\) 15.2096 + 11.9861i 0.785422 + 0.618960i
\(376\) 25.9257 9.70417i 1.33702 0.500454i
\(377\) −1.44923 1.05292i −0.0746389 0.0542284i
\(378\) 3.57115 + 18.9948i 0.183680 + 0.976987i
\(379\) −12.7016 + 4.12699i −0.652435 + 0.211989i −0.616488 0.787365i \(-0.711445\pi\)
−0.0359475 + 0.999354i \(0.511445\pi\)
\(380\) −9.13804 + 30.2241i −0.468772 + 1.55046i
\(381\) 8.23874 2.56121i 0.422084 0.131215i
\(382\) 25.3312 + 10.8358i 1.29606 + 0.554410i
\(383\) 2.52358 + 0.819961i 0.128949 + 0.0418981i 0.372781 0.927920i \(-0.378404\pi\)
−0.243832 + 0.969818i \(0.578404\pi\)
\(384\) 19.5938 + 0.290051i 0.999890 + 0.0148016i
\(385\) −6.56142 0.747942i −0.334401 0.0381186i
\(386\) 4.52890 2.70410i 0.230515 0.137635i
\(387\) 6.31999 + 21.2838i 0.321263 + 1.08192i
\(388\) −0.600252 + 3.29669i −0.0304732 + 0.167364i
\(389\) 7.01879 9.66053i 0.355867 0.489808i −0.593125 0.805111i \(-0.702106\pi\)
0.948991 + 0.315302i \(0.102106\pi\)
\(390\) 33.4291 + 19.6077i 1.69275 + 0.992876i
\(391\) −9.01700 12.4108i −0.456009 0.627643i
\(392\) −0.232559 + 0.0102399i −0.0117460 + 0.000517195i
\(393\) −12.2951 17.3849i −0.620206 0.876951i
\(394\) 5.63633 6.44750i 0.283954 0.324820i
\(395\) 8.52554 9.30298i 0.428966 0.468084i
\(396\) 4.52725 + 4.98953i 0.227503 + 0.250733i
\(397\) −0.770649 + 0.250399i −0.0386778 + 0.0125672i −0.328292 0.944576i \(-0.606473\pi\)
0.289614 + 0.957143i \(0.406473\pi\)
\(398\) −4.94850 + 2.95463i −0.248046 + 0.148102i
\(399\) 26.2605 18.5722i 1.31467 0.929774i
\(400\) −19.9831 + 0.821943i −0.999155 + 0.0410971i
\(401\) 19.9527i 0.996388i −0.867065 0.498194i \(-0.833997\pi\)
0.867065 0.498194i \(-0.166003\pi\)
\(402\) 1.78264 4.02456i 0.0889100 0.200727i
\(403\) 10.8450 + 33.3776i 0.540230 + 1.66266i
\(404\) −1.85183 0.997909i −0.0921320 0.0496478i
\(405\) −9.26967 + 17.8626i −0.460614 + 0.887601i
\(406\) −0.708973 0.619777i −0.0351858 0.0307590i
\(407\) 4.91000i 0.243380i
\(408\) −14.9067 19.2244i −0.737993 0.951748i
\(409\) −17.5507 + 12.7514i −0.867829 + 0.630514i −0.930003 0.367551i \(-0.880196\pi\)
0.0621747 + 0.998065i \(0.480196\pi\)
\(410\) −1.26757 11.4135i −0.0626010 0.563670i
\(411\) −0.246498 + 19.3222i −0.0121588 + 0.953092i
\(412\) 10.0163 + 1.82373i 0.493466 + 0.0898489i
\(413\) 3.61560 2.62689i 0.177912 0.129261i
\(414\) −2.58589 12.8494i −0.127090 0.631511i
\(415\) −20.1173 + 4.09177i −0.987520 + 0.200857i
\(416\) −39.3934 + 7.08941i −1.93142 + 0.347587i
\(417\) 5.18509 + 16.6791i 0.253915 + 0.816779i
\(418\) 4.40961 10.3085i 0.215681 0.504203i
\(419\) −4.46197 + 13.7325i −0.217981 + 0.670877i 0.780947 + 0.624597i \(0.214737\pi\)
−0.998928 + 0.0462804i \(0.985263\pi\)
\(420\) 16.5750 + 11.8461i 0.808779 + 0.578031i
\(421\) −0.913465 2.81136i −0.0445195 0.137017i 0.926326 0.376723i \(-0.122949\pi\)
−0.970846 + 0.239706i \(0.922949\pi\)
\(422\) −12.3309 1.11343i −0.600258 0.0542010i
\(423\) −16.6467 24.1866i −0.809392 1.17599i
\(424\) 1.14008 + 3.04585i 0.0553672 + 0.147919i
\(425\) 16.2868 + 18.7399i 0.790025 + 0.909020i
\(426\) −3.61467 16.8473i −0.175131 0.816254i
\(427\) 8.72690 + 6.34046i 0.422324 + 0.306837i
\(428\) 19.8727 + 10.7089i 0.960581 + 0.517635i
\(429\) −11.0292 8.23017i −0.532495 0.397356i
\(430\) 20.3364 + 11.5821i 0.980707 + 0.558540i
\(431\) 1.95432 6.01477i 0.0941362 0.289721i −0.892891 0.450272i \(-0.851327\pi\)
0.987028 + 0.160551i \(0.0513270\pi\)
\(432\) −4.73520 20.2380i −0.227822 0.973703i
\(433\) 12.8774 + 4.18412i 0.618849 + 0.201076i 0.601629 0.798776i \(-0.294519\pi\)
0.0172196 + 0.999852i \(0.494519\pi\)
\(434\) 4.10006 + 17.9877i 0.196809 + 0.863439i
\(435\) −0.183158 0.963257i −0.00878177 0.0461846i
\(436\) 3.90587 + 28.9615i 0.187057 + 1.38701i
\(437\) −17.6464 + 12.8209i −0.844142 + 0.613305i
\(438\) −3.77076 + 4.20399i −0.180174 + 0.200874i
\(439\) −8.27611 + 11.3911i −0.394997 + 0.543667i −0.959480 0.281778i \(-0.909076\pi\)
0.564482 + 0.825445i \(0.309076\pi\)
\(440\) 7.08461 + 0.493158i 0.337746 + 0.0235104i
\(441\) 0.0702825 + 0.236690i 0.00334679 + 0.0112710i
\(442\) 37.4099 + 32.7034i 1.77941 + 1.55554i
\(443\) 17.7380i 0.842758i −0.906885 0.421379i \(-0.861546\pi\)
0.906885 0.421379i \(-0.138454\pi\)
\(444\) −7.35517 + 13.2418i −0.349061 + 0.628426i
\(445\) −3.06667 + 26.9028i −0.145374 + 1.27532i
\(446\) 0.409040 4.52998i 0.0193686 0.214501i
\(447\) −1.48638 1.10916i −0.0703035 0.0524616i
\(448\) −20.9598 + 1.84937i −0.990257 + 0.0873746i
\(449\) 28.2843i 1.33482i −0.744691 0.667410i \(-0.767403\pi\)
0.744691 0.667410i \(-0.232597\pi\)
\(450\) 5.97955 + 20.3530i 0.281879 + 0.959450i
\(451\) 4.07769i 0.192011i
\(452\) −0.111679 0.828087i −0.00525295 0.0389499i
\(453\) −12.1456 9.06325i −0.570650 0.425828i
\(454\) −15.6208 1.41050i −0.733122 0.0661981i
\(455\) −37.8658 17.2589i −1.77518 0.809112i
\(456\) −27.3343 + 21.1952i −1.28004 + 0.992557i
\(457\) 5.94526i 0.278107i 0.990285 + 0.139054i \(0.0444061\pi\)
−0.990285 + 0.139054i \(0.955594\pi\)
\(458\) −6.04698 + 6.91724i −0.282557 + 0.323221i
\(459\) −15.9538 + 20.2790i −0.744659 + 0.946541i
\(460\) −11.3419 7.88938i −0.528819 0.367844i
\(461\) 17.8555 24.5760i 0.831615 1.14462i −0.156005 0.987756i \(-0.549862\pi\)
0.987620 0.156863i \(-0.0501383\pi\)
\(462\) −5.38532 4.83036i −0.250548 0.224729i
\(463\) −9.77952 + 7.10524i −0.454493 + 0.330209i −0.791367 0.611341i \(-0.790630\pi\)
0.336874 + 0.941550i \(0.390630\pi\)
\(464\) 0.791000 + 0.632316i 0.0367213 + 0.0293545i
\(465\) −8.18950 + 17.3768i −0.379779 + 0.805829i
\(466\) −22.5273 + 5.13478i −1.04356 + 0.237864i
\(467\) 19.8940 + 6.46396i 0.920585 + 0.299116i 0.730707 0.682691i \(-0.239191\pi\)
0.189879 + 0.981808i \(0.439191\pi\)
\(468\) 17.4158 + 38.7176i 0.805046 + 1.78972i
\(469\) −1.46052 + 4.49501i −0.0674405 + 0.207560i
\(470\) −30.3109 6.25652i −1.39814 0.288592i
\(471\) −2.90377 2.16684i −0.133799 0.0998429i
\(472\) −3.76014 + 2.99322i −0.173074 + 0.137774i
\(473\) −6.72311 4.88462i −0.309129 0.224595i
\(474\) 13.5154 2.89981i 0.620785 0.133192i
\(475\) 26.6455 23.1575i 1.22258 1.06254i
\(476\) 18.0401 + 18.8906i 0.826868 + 0.865848i
\(477\) 2.84152 1.95572i 0.130104 0.0895461i
\(478\) 2.36203 26.1587i 0.108037 1.19647i
\(479\) 11.0543 + 34.0217i 0.505084 + 1.55449i 0.800629 + 0.599160i \(0.204499\pi\)
−0.295545 + 0.955329i \(0.595501\pi\)
\(480\) −18.3677 11.9427i −0.838366 0.545108i
\(481\) 9.56089 29.4254i 0.435939 1.34168i
\(482\) 14.1810 + 6.06617i 0.645928 + 0.276306i
\(483\) 4.17791 + 13.4393i 0.190102 + 0.611507i
\(484\) 19.1632 + 3.48918i 0.871054 + 0.158599i
\(485\) 2.53119 2.76201i 0.114935 0.125416i
\(486\) −19.6100 + 10.0721i −0.889529 + 0.456879i
\(487\) 33.7319 24.5077i 1.52854 1.11055i 0.571495 0.820606i \(-0.306364\pi\)
0.957044 0.289943i \(-0.0936363\pi\)
\(488\) −9.67563 6.39902i −0.437995 0.289670i
\(489\) 0.219649 17.2176i 0.00993288 0.778606i
\(490\) 0.226154 + 0.128801i 0.0102166 + 0.00581864i
\(491\) 26.9448 19.5765i 1.21600 0.883476i 0.220239 0.975446i \(-0.429316\pi\)
0.995762 + 0.0919695i \(0.0293162\pi\)
\(492\) 6.10837 10.9971i 0.275387 0.495788i
\(493\) 1.25715i 0.0566190i
\(494\) 46.4994 53.1915i 2.09211 2.39320i
\(495\) −1.31256 7.41731i −0.0589950 0.333383i
\(496\) −5.25579 19.1311i −0.235992 0.859011i
\(497\) 5.71730 + 17.5960i 0.256456 + 0.789290i
\(498\) −20.5618 9.10767i −0.921398 0.408125i
\(499\) 2.95347i 0.132215i 0.997812 + 0.0661077i \(0.0210581\pi\)
−0.997812 + 0.0661077i \(0.978942\pi\)
\(500\) 19.3983 + 11.1223i 0.867518 + 0.497407i
\(501\) −29.6777 + 20.9890i −1.32590 + 0.937718i
\(502\) 10.4950 + 17.5773i 0.468415 + 0.784515i
\(503\) 40.1948 13.0601i 1.79220 0.582320i 0.792573 0.609777i \(-0.208741\pi\)
0.999623 + 0.0274568i \(0.00874085\pi\)
\(504\) 7.28777 + 21.0941i 0.324623 + 0.939608i
\(505\) 1.15801 + 2.04704i 0.0515309 + 0.0910921i
\(506\) 3.69353 + 3.22885i 0.164198 + 0.143540i
\(507\) −37.0699 52.4156i −1.64633 2.32786i
\(508\) 8.97832 4.31727i 0.398348 0.191548i
\(509\) −20.6474 28.4187i −0.915179 1.25964i −0.965367 0.260897i \(-0.915982\pi\)
0.0501873 0.998740i \(-0.484018\pi\)
\(510\) 2.65708 + 27.0679i 0.117657 + 1.19859i
\(511\) 3.56423 4.90574i 0.157672 0.217017i
\(512\) 22.4305 2.97837i 0.991299 0.131627i
\(513\) 28.8338 + 22.6840i 1.27304 + 1.00152i
\(514\) −2.61495 4.37959i −0.115340 0.193176i
\(515\) −8.39175 7.69046i −0.369785 0.338882i
\(516\) 10.8144 + 23.2445i 0.476075 + 1.02328i
\(517\) 10.4520 + 3.39607i 0.459680 + 0.149359i
\(518\) 6.39675 14.9538i 0.281057 0.657034i
\(519\) −16.0313 + 4.98371i −0.703696 + 0.218761i
\(520\) 41.4974 + 16.7508i 1.81978 + 0.734572i
\(521\) −23.1218 + 7.51272i −1.01298 + 0.329138i −0.768042 0.640400i \(-0.778769\pi\)
−0.244942 + 0.969538i \(0.578769\pi\)
\(522\) 0.447492 0.976444i 0.0195862 0.0427378i
\(523\) 17.9226 + 13.0215i 0.783700 + 0.569391i 0.906087 0.423091i \(-0.139055\pi\)
−0.122387 + 0.992482i \(0.539055\pi\)
\(524\) −16.9810 17.7815i −0.741819 0.776790i
\(525\) −8.62951 21.0798i −0.376623 0.919999i
\(526\) −0.280469 + 0.655659i −0.0122290 + 0.0285881i
\(527\) −14.4769 + 19.9257i −0.630623 + 0.867978i
\(528\) 6.01419 + 4.93472i 0.261734 + 0.214756i
\(529\) 4.15812 + 12.7974i 0.180788 + 0.556408i
\(530\) 0.735038 3.56103i 0.0319280 0.154681i
\(531\) 4.04625 + 3.10051i 0.175592 + 0.134551i
\(532\) 26.8597 25.6505i 1.16451 1.11209i
\(533\) −7.94020 + 24.4374i −0.343928 + 1.05850i
\(534\) −19.8052 + 22.0806i −0.857054 + 0.955521i
\(535\) −12.4271 21.9675i −0.537269 0.949740i
\(536\) 1.35646 4.89828i 0.0585902 0.211574i
\(537\) 7.94515 + 2.69406i 0.342858 + 0.116257i
\(538\) 0.0481298 + 0.211155i 0.00207502 + 0.00910352i
\(539\) −0.0747655 0.0543203i −0.00322038 0.00233974i
\(540\) −7.57128 + 21.9699i −0.325816 + 0.945433i
\(541\) 18.3219 13.3117i 0.787721 0.572313i −0.119565 0.992826i \(-0.538150\pi\)
0.907286 + 0.420514i \(0.138150\pi\)
\(542\) 14.3254 + 12.5231i 0.615328 + 0.537913i
\(543\) 10.0447 + 14.2029i 0.431060 + 0.609504i
\(544\) −20.2749 19.4416i −0.869281 0.833552i
\(545\) 13.5509 29.7305i 0.580458 1.27352i
\(546\) −22.8681 39.4345i −0.978665 1.68764i
\(547\) −8.57610 26.3945i −0.366688 1.12855i −0.948917 0.315524i \(-0.897820\pi\)
0.582230 0.813024i \(-0.302180\pi\)
\(548\) 2.98224 + 22.1129i 0.127395 + 0.944618i
\(549\) −4.09939 + 11.6009i −0.174958 + 0.495114i
\(550\) −6.41006 4.68559i −0.273326 0.199794i
\(551\) −1.78748 −0.0761492
\(552\) −5.12426 14.2408i −0.218103 0.606127i
\(553\) −14.1161 + 4.58660i −0.600278 + 0.195042i
\(554\) −40.6294 3.66868i −1.72618 0.155867i
\(555\) 14.8453 8.14981i 0.630149 0.345940i
\(556\) 8.74018 + 18.1763i 0.370666 + 0.770848i
\(557\) −19.3275 −0.818933 −0.409467 0.912325i \(-0.634285\pi\)
−0.409467 + 0.912325i \(0.634285\pi\)
\(558\) −18.3371 + 10.3234i −0.776273 + 0.437026i
\(559\) −30.7798 42.3647i −1.30185 1.79184i
\(560\) 20.9343 + 10.7318i 0.884636 + 0.453500i
\(561\) 0.123196 9.65690i 0.00520132 0.407715i
\(562\) 0.186969 + 0.820267i 0.00788679 + 0.0346009i
\(563\) −7.76254 10.6842i −0.327152 0.450286i 0.613482 0.789709i \(-0.289768\pi\)
−0.940634 + 0.339423i \(0.889768\pi\)
\(564\) −23.1007 24.8159i −0.972715 1.04494i
\(565\) −0.387457 + 0.850075i −0.0163004 + 0.0357629i
\(566\) −26.2833 + 5.99091i −1.10477 + 0.251817i
\(567\) 19.8353 12.9188i 0.833003 0.542539i
\(568\) −6.97473 18.6337i −0.292653 0.781854i
\(569\) 27.7963 + 9.03155i 1.16528 + 0.378622i 0.826879 0.562380i \(-0.190114\pi\)
0.338401 + 0.941002i \(0.390114\pi\)
\(570\) 38.4867 3.77798i 1.61203 0.158242i
\(571\) −6.44362 + 2.09366i −0.269657 + 0.0876169i −0.440724 0.897642i \(-0.645278\pi\)
0.171067 + 0.985259i \(0.445278\pi\)
\(572\) −13.9886 7.53815i −0.584894 0.315186i
\(573\) 0.430440 33.7408i 0.0179819 1.40954i
\(574\) −5.31241 + 12.4190i −0.221736 + 0.518358i
\(575\) 6.03396 + 14.2194i 0.251634 + 0.592992i
\(576\) −8.82743 22.3176i −0.367810 0.929901i
\(577\) −13.7634 + 18.9437i −0.572977 + 0.788636i −0.992904 0.118923i \(-0.962056\pi\)
0.419926 + 0.907558i \(0.362056\pi\)
\(578\) −0.973922 + 10.7858i −0.0405098 + 0.448632i
\(579\) −5.17758 3.86359i −0.215173 0.160565i
\(580\) −0.371927 1.06937i −0.0154434 0.0444032i
\(581\) 22.9654 + 7.46192i 0.952767 + 0.309573i
\(582\) 4.01267 0.860937i 0.166330 0.0356870i
\(583\) −0.398982 + 1.22794i −0.0165242 + 0.0508561i
\(584\) −3.59715 + 5.43907i −0.148851 + 0.225070i
\(585\) 6.57710 47.0074i 0.271930 1.94352i
\(586\) −5.10288 8.54645i −0.210798 0.353051i
\(587\) 13.5473 + 18.6462i 0.559156 + 0.769612i 0.991219 0.132231i \(-0.0422142\pi\)
−0.432063 + 0.901843i \(0.642214\pi\)
\(588\) 0.120263 + 0.258494i 0.00495956 + 0.0106601i
\(589\) 28.3315 + 20.5840i 1.16738 + 0.848151i
\(590\) 5.34048 0.593112i 0.219864 0.0244180i
\(591\) −9.93296 3.36809i −0.408587 0.138545i
\(592\) −6.16492 + 16.3682i −0.253376 + 0.672728i
\(593\) −35.4686 −1.45652 −0.728261 0.685300i \(-0.759671\pi\)
−0.728261 + 0.685300i \(0.759671\pi\)
\(594\) 3.53315 7.45681i 0.144967 0.305957i
\(595\) −5.82079 28.6181i −0.238629 1.17323i
\(596\) −1.88522 1.01590i −0.0772216 0.0416129i
\(597\) 5.65728 + 4.22155i 0.231537 + 0.172777i
\(598\) 15.8479 + 26.5425i 0.648067 + 1.08540i
\(599\) −15.4349 −0.630652 −0.315326 0.948983i \(-0.602114\pi\)
−0.315326 + 0.948983i \(0.602114\pi\)
\(600\) 10.2682 + 22.2388i 0.419200 + 0.907894i
\(601\) 15.2326 0.621350 0.310675 0.950516i \(-0.399445\pi\)
0.310675 + 0.950516i \(0.399445\pi\)
\(602\) −14.1121 23.6354i −0.575167 0.963307i
\(603\) −5.38919 0.137525i −0.219465 0.00560045i
\(604\) −15.4046 8.30118i −0.626804 0.337770i
\(605\) −16.0551 14.7134i −0.652735 0.598186i
\(606\) −0.264406 + 2.56276i −0.0107408 + 0.104105i
\(607\) −34.7595 −1.41085 −0.705423 0.708787i \(-0.749243\pi\)
−0.705423 + 0.708787i \(0.749243\pi\)
\(608\) −27.6432 + 28.8280i −1.12108 + 1.16913i
\(609\) −0.370359 + 1.09224i −0.0150077 + 0.0442597i
\(610\) 5.34480 + 11.8169i 0.216405 + 0.478453i
\(611\) 56.0255 + 40.7049i 2.26655 + 1.64675i
\(612\) −14.7982 + 25.8591i −0.598184 + 1.04529i
\(613\) −13.5100 18.5950i −0.545665 0.751043i 0.443751 0.896150i \(-0.353647\pi\)
−0.989416 + 0.145107i \(0.953647\pi\)
\(614\) 16.9928 + 28.4601i 0.685774 + 1.14855i
\(615\) −12.3288 + 6.76831i −0.497147 + 0.272925i
\(616\) −6.96746 4.60795i −0.280727 0.185660i
\(617\) 4.54521 13.9887i 0.182983 0.563164i −0.816925 0.576745i \(-0.804323\pi\)
0.999908 + 0.0135801i \(0.00432281\pi\)
\(618\) −2.61577 12.1916i −0.105222 0.490419i
\(619\) 31.5383 + 10.2474i 1.26763 + 0.411879i 0.864208 0.503134i \(-0.167820\pi\)
0.403424 + 0.915013i \(0.367820\pi\)
\(620\) −6.41948 + 21.2325i −0.257813 + 0.852716i
\(621\) −13.3384 + 8.93175i −0.535252 + 0.358419i
\(622\) 0.317198 3.51286i 0.0127185 0.140853i
\(623\) 18.7204 25.7664i 0.750018 1.03231i
\(624\) 26.4337 + 41.2845i 1.05820 + 1.65270i
\(625\) −11.7320 22.0762i −0.469279 0.883050i
\(626\) −12.1810 + 28.4759i −0.486851 + 1.13813i
\(627\) −13.7307 0.175166i −0.548352 0.00699547i
\(628\) −3.68293 1.98465i −0.146965 0.0791961i
\(629\) 20.6504 6.70974i 0.823387 0.267535i
\(630\) 5.66576 24.3000i 0.225729 0.968137i
\(631\) 20.3437 + 6.61008i 0.809871 + 0.263143i 0.684543 0.728972i \(-0.260002\pi\)
0.125328 + 0.992115i \(0.460002\pi\)
\(632\) 14.9486 5.59535i 0.594623 0.222571i
\(633\) 4.50147 + 14.4801i 0.178917 + 0.575531i
\(634\) −6.79732 + 1.54935i −0.269956 + 0.0615327i
\(635\) −11.0666 1.26149i −0.439165 0.0500608i
\(636\) 2.91546 2.71395i 0.115606 0.107615i
\(637\) −0.342292 0.471124i −0.0135621 0.0186666i
\(638\) 0.0893457 + 0.391977i 0.00353723 + 0.0155185i
\(639\) −17.3837 + 11.9646i −0.687690 + 0.473312i
\(640\) −22.9983 10.5393i −0.909088 0.416603i
\(641\) 20.8420 + 28.6865i 0.823208 + 1.13305i 0.989149 + 0.146913i \(0.0469336\pi\)
−0.165942 + 0.986136i \(0.553066\pi\)
\(642\) 2.83744 27.5019i 0.111985 1.08541i
\(643\) 1.63973 0.0646648 0.0323324 0.999477i \(-0.489706\pi\)
0.0323324 + 0.999477i \(0.489706\pi\)
\(644\) 7.04244 + 14.6457i 0.277511 + 0.577120i
\(645\) 3.60932 28.4349i 0.142117 1.11962i
\(646\) 49.3811 + 4.45893i 1.94287 + 0.175434i
\(647\) −41.1106 + 13.3577i −1.61623 + 0.525144i −0.971047 0.238888i \(-0.923217\pi\)
−0.645178 + 0.764032i \(0.723217\pi\)
\(648\) −20.6988 + 14.8176i −0.813125 + 0.582089i
\(649\) −1.90800 −0.0748955
\(650\) −29.2912 40.5623i −1.14890 1.59099i
\(651\) 18.4480 13.0470i 0.723035 0.511352i
\(652\) −2.65741 19.7044i −0.104072 0.771683i
\(653\) 4.92751 + 15.1653i 0.192828 + 0.593464i 0.999995 + 0.00314086i \(0.000999769\pi\)
−0.807167 + 0.590323i \(0.799000\pi\)
\(654\) 30.9622 17.9550i 1.21072 0.702096i
\(655\) 5.47906 + 26.9379i 0.214084 + 1.05255i
\(656\) 5.11988 13.5936i 0.199898 0.530739i
\(657\) 6.52134 + 2.30443i 0.254422 + 0.0899045i
\(658\) 27.4081 + 23.9599i 1.06848 + 0.934054i
\(659\) −1.82519 + 1.32608i −0.0710992 + 0.0516566i −0.622767 0.782407i \(-0.713992\pi\)
0.551668 + 0.834064i \(0.313992\pi\)
\(660\) −2.75220 8.25092i −0.107129 0.321167i
\(661\) −33.6669 24.4604i −1.30949 0.951400i −1.00000 0.000496742i \(-0.999842\pi\)
−0.309489 0.950903i \(-0.600158\pi\)
\(662\) −2.15558 9.45693i −0.0837788 0.367554i
\(663\) 19.5425 57.6334i 0.758967 2.23830i
\(664\) −25.0258 6.93029i −0.971188 0.268947i
\(665\) −40.6908 + 8.27632i −1.57792 + 0.320942i
\(666\) 18.4279 + 2.13915i 0.714067 + 0.0828906i
\(667\) 0.241689 0.743843i 0.00935825 0.0288017i
\(668\) −30.3549 + 28.9883i −1.17446 + 1.12159i
\(669\) −5.31953 + 1.65370i −0.205665 + 0.0639358i
\(670\) −4.20051 + 3.82717i −0.162280 + 0.147856i
\(671\) −1.42311 4.37989i −0.0549387 0.169084i
\(672\) 11.8878 + 22.8644i 0.458581 + 0.882012i
\(673\) −24.8246 + 34.1682i −0.956920 + 1.31709i −0.00853574 + 0.999964i \(0.502717\pi\)
−0.948384 + 0.317124i \(0.897283\pi\)
\(674\) −15.6553 + 36.5978i −0.603020 + 1.40969i
\(675\) 20.2475 16.2800i 0.779326 0.626618i
\(676\) −51.1980 53.6116i −1.96915 2.06198i
\(677\) 35.8387 + 26.0384i 1.37739 + 1.00074i 0.997118 + 0.0758625i \(0.0241710\pi\)
0.380276 + 0.924873i \(0.375829\pi\)
\(678\) −0.885291 + 0.513381i −0.0339994 + 0.0197163i
\(679\) −4.19100 + 1.36174i −0.160836 + 0.0522587i
\(680\) 7.60731 + 30.4703i 0.291727 + 1.16848i
\(681\) 5.70249 + 18.3434i 0.218520 + 0.702921i
\(682\) 3.09775 7.24170i 0.118619 0.277299i
\(683\) −36.2387 11.7747i −1.38663 0.450545i −0.481789 0.876287i \(-0.660013\pi\)
−0.904844 + 0.425742i \(0.860013\pi\)
\(684\) 36.7679 + 21.0410i 1.40585 + 0.804521i
\(685\) 10.3465 22.7001i 0.395320 0.867326i
\(686\) −13.5049 22.6183i −0.515618 0.863572i
\(687\) 10.6566 + 3.61348i 0.406576 + 0.137863i
\(688\) 16.2794 + 24.7250i 0.620645 + 0.942631i
\(689\) −4.78216 + 6.58207i −0.182186 + 0.250757i
\(690\) −3.63170 + 16.5267i −0.138257 + 0.629161i
\(691\) −20.6338 28.4000i −0.784948 1.08039i −0.994719 0.102637i \(-0.967272\pi\)
0.209771 0.977751i \(-0.432728\pi\)
\(692\) −17.4704 + 8.40072i −0.664125 + 0.319348i
\(693\) −2.95199 + 8.35385i −0.112137 + 0.317336i
\(694\) 39.1151 + 34.1940i 1.48479 + 1.29798i
\(695\) 2.55385 22.4040i 0.0968731 0.849833i
\(696\) 0.346224 1.19096i 0.0131236 0.0451432i
\(697\) −17.1499 + 5.57235i −0.649600 + 0.211068i
\(698\) −1.69050 2.83131i −0.0639866 0.107167i
\(699\) 16.3397 + 23.1037i 0.618023 + 0.873863i
\(700\) −13.4180 22.6214i −0.507153 0.855008i
\(701\) 24.1415i 0.911812i −0.890028 0.455906i \(-0.849315\pi\)
0.890028 0.455906i \(-0.150685\pi\)
\(702\) 35.6941 37.8084i 1.34719 1.42699i
\(703\) −9.54028 29.3620i −0.359818 1.10741i
\(704\) 7.70343 + 4.62093i 0.290334 + 0.174158i
\(705\) 7.08071 + 37.2385i 0.266675 + 1.40248i
\(706\) −22.6079 + 25.8616i −0.850861 + 0.973314i
\(707\) 2.76638i 0.104041i
\(708\) 5.14567 + 2.85817i 0.193386 + 0.107417i
\(709\) −12.4837 + 9.06991i −0.468834 + 0.340628i −0.796987 0.603997i \(-0.793574\pi\)
0.328153 + 0.944625i \(0.393574\pi\)
\(710\) −4.49678 + 21.7855i −0.168761 + 0.817595i
\(711\) −9.59838 13.9458i −0.359967 0.523008i
\(712\) −18.8933 + 28.5676i −0.708056 + 1.07062i
\(713\) −12.3966 + 9.00667i −0.464257 + 0.337303i
\(714\) 12.9562 29.2504i 0.484874 1.09467i
\(715\) 8.74757 + 15.4632i 0.327140 + 0.578292i
\(716\) 9.53064 + 1.73531i 0.356177 + 0.0648516i
\(717\) −30.7179 + 9.54940i −1.14718 + 0.356629i
\(718\) −31.3089 13.3929i −1.16844 0.499818i
\(719\) 0.511996 1.57576i 0.0190942 0.0587659i −0.941055 0.338252i \(-0.890164\pi\)
0.960150 + 0.279487i \(0.0901642\pi\)
\(720\) −4.93746 + 26.3746i −0.184008 + 0.982925i
\(721\) 4.13734 + 12.7334i 0.154083 + 0.474218i
\(722\) 3.92352 43.4517i 0.146018 1.61710i
\(723\) 0.240971 18.8889i 0.00896181 0.702487i
\(724\) 13.8729 + 14.5270i 0.515584 + 0.539890i
\(725\) −0.284886 + 1.23337i −0.0105804 + 0.0458060i
\(726\) −5.00451 23.3251i −0.185735 0.865674i
\(727\) −9.30425 6.75993i −0.345076 0.250712i 0.401725 0.915760i \(-0.368411\pi\)
−0.746800 + 0.665048i \(0.768411\pi\)
\(728\) −32.7829 41.1824i −1.21501 1.52632i
\(729\) 20.5660 + 17.4940i 0.761704 + 0.647926i
\(730\) 6.64277 3.00453i 0.245860 0.111203i
\(731\) 11.3563 34.9510i 0.420027 1.29271i
\(732\) −2.72308 + 13.9439i −0.100648 + 0.515382i
\(733\) 11.8534 + 3.85140i 0.437815 + 0.142255i 0.519627 0.854393i \(-0.326071\pi\)
−0.0818124 + 0.996648i \(0.526071\pi\)
\(734\) −33.5178 + 7.63991i −1.23716 + 0.281994i
\(735\) 0.0401380 0.316215i 0.00148051 0.0116638i
\(736\) −8.25882 15.4013i −0.304424 0.567701i
\(737\) 1.63244 1.18604i 0.0601317 0.0436882i
\(738\) −15.3041 1.77654i −0.563353 0.0653954i
\(739\) −3.08442 + 4.24534i −0.113462 + 0.156167i −0.861971 0.506957i \(-0.830770\pi\)
0.748509 + 0.663125i \(0.230770\pi\)
\(740\) 15.5809 11.8170i 0.572764 0.434400i
\(741\) −81.9464 27.7866i −3.01038 1.02077i
\(742\) −2.81489 + 3.22001i −0.103338 + 0.118210i
\(743\) 19.7148i 0.723266i −0.932320 0.361633i \(-0.882219\pi\)
0.932320 0.361633i \(-0.117781\pi\)
\(744\) −19.2024 + 14.8897i −0.703992 + 0.545882i
\(745\) 1.17889 + 2.08395i 0.0431913 + 0.0763500i
\(746\) 30.7000 + 2.77210i 1.12401 + 0.101494i
\(747\) −0.702628 + 27.5339i −0.0257078 + 1.00741i
\(748\) −1.49048 11.0517i −0.0544972 0.404090i
\(749\) 29.6871i 1.08474i
\(750\) 3.52715 27.1580i 0.128793 0.991671i
\(751\) 43.6176i 1.59163i 0.605540 + 0.795815i \(0.292957\pi\)
−0.605540 + 0.795815i \(0.707043\pi\)
\(752\) −30.5792 24.4446i −1.11511 0.891405i
\(753\) 14.9952 20.0949i 0.546454 0.732300i
\(754\) −0.227824 + 2.52308i −0.00829687 + 0.0918850i
\(755\) 9.63302 + 17.0285i 0.350581 + 0.619729i
\(756\) 20.4752 18.1074i 0.744677 0.658559i
\(757\) 13.1585i 0.478255i 0.970988 + 0.239127i \(0.0768613\pi\)
−0.970988 + 0.239127i \(0.923139\pi\)
\(758\) 14.2197 + 12.4307i 0.516483 + 0.451504i
\(759\) 1.92946 5.69023i 0.0700348 0.206542i
\(760\) 43.3244 10.8165i 1.57154 0.392356i
\(761\) −8.19231 + 11.2758i −0.296971 + 0.408746i −0.931263 0.364348i \(-0.881292\pi\)
0.634292 + 0.773094i \(0.281292\pi\)
\(762\) −9.08297 8.14697i −0.329041 0.295133i
\(763\) −31.0917 + 22.5894i −1.12559 + 0.817791i
\(764\) −5.20766 38.6141i −0.188406 1.39701i
\(765\) 29.4020 15.6564i 1.06303 0.566059i
\(766\) −0.833951 3.65870i −0.0301319 0.132194i
\(767\) −11.4345 3.71531i −0.412877 0.134152i
\(768\) −13.8532 24.0019i −0.499884 0.866093i
\(769\) 10.7577 33.1089i 0.387933 1.19394i −0.546397 0.837526i \(-0.684001\pi\)
0.934330 0.356409i \(-0.115999\pi\)
\(770\) 3.84881 + 8.50941i 0.138702 + 0.306658i
\(771\) −3.73622 + 5.00688i −0.134557 + 0.180319i
\(772\) −6.56686 3.53873i −0.236346 0.127362i
\(773\) −26.9509 19.5810i −0.969357 0.704279i −0.0140523 0.999901i \(-0.504473\pi\)
−0.955305 + 0.295622i \(0.904473\pi\)