Properties

Label 483.2.y.b.4.14
Level $483$
Weight $2$
Character 483.4
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.y (of order \(33\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(16\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 4.14
Character \(\chi\) \(=\) 483.4
Dual form 483.2.y.b.121.14

$q$-expansion

\(f(q)\) \(=\) \(q+(1.20076 - 1.68624i) q^{2} +(0.235759 - 0.971812i) q^{3} +(-0.747425 - 2.15954i) q^{4} +(-0.0741223 + 1.55602i) q^{5} +(-1.35561 - 1.56446i) q^{6} +(2.38094 - 1.15374i) q^{7} +(-0.566529 - 0.166348i) q^{8} +(-0.888835 - 0.458227i) q^{9} +O(q^{10})\) \(q+(1.20076 - 1.68624i) q^{2} +(0.235759 - 0.971812i) q^{3} +(-0.747425 - 2.15954i) q^{4} +(-0.0741223 + 1.55602i) q^{5} +(-1.35561 - 1.56446i) q^{6} +(2.38094 - 1.15374i) q^{7} +(-0.566529 - 0.166348i) q^{8} +(-0.888835 - 0.458227i) q^{9} +(2.53481 + 1.99340i) q^{10} +(-1.77811 - 2.49700i) q^{11} +(-2.27488 + 0.217225i) q^{12} +(0.522701 - 3.63546i) q^{13} +(0.913472 - 5.40020i) q^{14} +(1.49468 + 0.438878i) q^{15} +(2.63185 - 2.06971i) q^{16} +(-2.78028 + 0.535856i) q^{17} +(-1.83996 + 0.948565i) q^{18} +(-2.94669 - 0.567929i) q^{19} +(3.41569 - 1.00294i) q^{20} +(-0.559889 - 2.58583i) q^{21} -6.34562 q^{22} +(2.76202 + 3.92062i) q^{23} +(-0.295223 + 0.511342i) q^{24} +(2.56166 + 0.244609i) q^{25} +(-5.50261 - 5.24673i) q^{26} +(-0.654861 + 0.755750i) q^{27} +(-4.27113 - 4.27941i) q^{28} +(4.38596 + 5.06167i) q^{29} +(2.53481 - 1.99340i) q^{30} +(-6.78641 + 6.47083i) q^{31} +(-0.385980 - 8.10272i) q^{32} +(-2.84582 + 1.13929i) q^{33} +(-2.43489 + 5.33166i) q^{34} +(1.61876 + 3.79031i) q^{35} +(-0.325222 + 2.26197i) q^{36} +(-1.88068 - 0.969558i) q^{37} +(-4.49595 + 4.28688i) q^{38} +(-3.40975 - 1.36506i) q^{39} +(0.300833 - 0.869201i) q^{40} +(4.01016 + 2.57717i) q^{41} +(-5.03262 - 2.16087i) q^{42} +(2.31170 - 0.678776i) q^{43} +(-4.06338 + 5.70622i) q^{44} +(0.778892 - 1.34908i) q^{45} +(9.92762 + 0.0503137i) q^{46} +(5.81201 + 10.0667i) q^{47} +(-1.39089 - 3.04562i) q^{48} +(4.33777 - 5.49397i) q^{49} +(3.48842 - 4.02585i) q^{50} +(-0.134726 + 2.82825i) q^{51} +(-8.24162 + 1.58844i) q^{52} +(-10.4446 - 4.18139i) q^{53} +(0.488040 + 2.01173i) q^{54} +(4.01718 - 2.58169i) q^{55} +(-1.54080 + 0.257562i) q^{56} +(-1.24663 + 2.72974i) q^{57} +(13.8017 - 1.31790i) q^{58} +(4.53779 + 3.56856i) q^{59} +(-0.169386 - 3.55586i) q^{60} +(1.21268 + 4.99875i) q^{61} +(2.76248 + 19.2134i) q^{62} +(-2.64494 - 0.0655266i) q^{63} +(-8.49322 - 5.45826i) q^{64} +(5.61811 + 1.08280i) q^{65} +(-1.49604 + 6.16675i) q^{66} +(-7.43404 - 0.709865i) q^{67} +(3.23526 + 5.60363i) q^{68} +(4.46127 - 1.75984i) q^{69} +(8.33511 + 1.82166i) q^{70} +(2.84382 + 6.22711i) q^{71} +(0.427326 + 0.407455i) q^{72} +(-3.82180 - 11.0424i) q^{73} +(-3.89316 + 2.00706i) q^{74} +(0.841648 - 2.43178i) q^{75} +(0.975967 + 6.78800i) q^{76} +(-7.11446 - 3.89375i) q^{77} +(-6.39612 + 4.11054i) q^{78} +(8.12921 - 3.25444i) q^{79} +(3.02543 + 4.24862i) q^{80} +(0.580057 + 0.814576i) q^{81} +(9.16097 - 3.66750i) q^{82} +(-14.0798 + 9.04852i) q^{83} +(-5.16574 + 3.14182i) q^{84} +(-0.627721 - 4.36589i) q^{85} +(1.63123 - 4.71312i) q^{86} +(5.95301 - 3.06899i) q^{87} +(0.591979 + 1.71041i) q^{88} +(-0.639117 - 0.609397i) q^{89} +(-1.33960 - 2.93332i) q^{90} +(-2.94986 - 9.25889i) q^{91} +(6.40234 - 8.89507i) q^{92} +(4.68847 + 8.12067i) q^{93} +(23.9537 + 2.28730i) q^{94} +(1.10212 - 4.54302i) q^{95} +(-7.96531 - 1.53519i) q^{96} +(6.82665 + 4.38722i) q^{97} +(-4.05550 - 13.9115i) q^{98} +(0.436252 + 3.03420i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + O(q^{10}) \) \( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + 2q^{11} + 18q^{12} + 18q^{14} - 18q^{15} - 8q^{16} + 4q^{17} + 2q^{18} + 8q^{19} - 162q^{20} - 4q^{21} + 144q^{22} - 26q^{23} + 6q^{24} - 8q^{25} - 14q^{26} - 32q^{27} + 86q^{28} - 74q^{29} - 56q^{31} - 28q^{32} + 13q^{33} + 40q^{34} - 32q^{35} - 14q^{36} + 2q^{37} - 39q^{38} - 52q^{40} + 60q^{41} - 61q^{42} + 16q^{43} - 75q^{44} - 2q^{45} - 4q^{46} - 40q^{47} - 28q^{48} - 100q^{49} + 146q^{50} - 18q^{51} - 18q^{52} + 34q^{53} + 2q^{54} + 36q^{55} - 102q^{56} + 28q^{57} - 17q^{58} - 102q^{59} - 18q^{60} - 18q^{61} - 88q^{62} + 2q^{63} - 252q^{64} - 78q^{65} + 16q^{66} + 12q^{67} + 34q^{68} + 8q^{69} + 264q^{70} + 160q^{71} + 6q^{72} - 8q^{73} + 70q^{74} + 14q^{75} - 40q^{76} - 90q^{77} - 16q^{78} + 26q^{79} - 103q^{80} + 16q^{81} - 30q^{82} - 80q^{83} - 52q^{84} - 128q^{85} + 90q^{86} + 4q^{87} - 293q^{88} - 36q^{89} + 16q^{91} - 174q^{92} + 32q^{93} + 57q^{94} - 85q^{95} - 50q^{96} - 8q^{97} - 193q^{98} - 26q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.20076 1.68624i 0.849068 1.19235i −0.130542 0.991443i \(-0.541672\pi\)
0.979610 0.200907i \(-0.0643888\pi\)
\(3\) 0.235759 0.971812i 0.136115 0.561076i
\(4\) −0.747425 2.15954i −0.373713 1.07977i
\(5\) −0.0741223 + 1.55602i −0.0331485 + 0.695873i 0.919736 + 0.392538i \(0.128403\pi\)
−0.952884 + 0.303334i \(0.901900\pi\)
\(6\) −1.35561 1.56446i −0.553427 0.638689i
\(7\) 2.38094 1.15374i 0.899912 0.436072i
\(8\) −0.566529 0.166348i −0.200298 0.0588129i
\(9\) −0.888835 0.458227i −0.296278 0.152742i
\(10\) 2.53481 + 1.99340i 0.801578 + 0.630368i
\(11\) −1.77811 2.49700i −0.536120 0.752875i 0.454318 0.890840i \(-0.349883\pi\)
−0.990437 + 0.137965i \(0.955944\pi\)
\(12\) −2.27488 + 0.217225i −0.656702 + 0.0627074i
\(13\) 0.522701 3.63546i 0.144971 1.00830i −0.779325 0.626620i \(-0.784438\pi\)
0.924296 0.381676i \(-0.124653\pi\)
\(14\) 0.913472 5.40020i 0.244136 1.44326i
\(15\) 1.49468 + 0.438878i 0.385925 + 0.113318i
\(16\) 2.63185 2.06971i 0.657963 0.517428i
\(17\) −2.78028 + 0.535856i −0.674318 + 0.129964i −0.514904 0.857248i \(-0.672173\pi\)
−0.159414 + 0.987212i \(0.550960\pi\)
\(18\) −1.83996 + 0.948565i −0.433683 + 0.223579i
\(19\) −2.94669 0.567929i −0.676018 0.130292i −0.160324 0.987064i \(-0.551254\pi\)
−0.515694 + 0.856773i \(0.672466\pi\)
\(20\) 3.41569 1.00294i 0.763772 0.224264i
\(21\) −0.559889 2.58583i −0.122178 0.564275i
\(22\) −6.34562 −1.35289
\(23\) 2.76202 + 3.92062i 0.575921 + 0.817505i
\(24\) −0.295223 + 0.511342i −0.0602622 + 0.104377i
\(25\) 2.56166 + 0.244609i 0.512332 + 0.0489217i
\(26\) −5.50261 5.24673i −1.07915 1.02897i
\(27\) −0.654861 + 0.755750i −0.126028 + 0.145444i
\(28\) −4.27113 4.27941i −0.807167 0.808733i
\(29\) 4.38596 + 5.06167i 0.814452 + 0.939928i 0.999080 0.0428808i \(-0.0136536\pi\)
−0.184628 + 0.982808i \(0.559108\pi\)
\(30\) 2.53481 1.99340i 0.462791 0.363943i
\(31\) −6.78641 + 6.47083i −1.21888 + 1.16220i −0.237236 + 0.971452i \(0.576242\pi\)
−0.981640 + 0.190744i \(0.938910\pi\)
\(32\) −0.385980 8.10272i −0.0682323 1.43237i
\(33\) −2.84582 + 1.13929i −0.495394 + 0.198326i
\(34\) −2.43489 + 5.33166i −0.417579 + 0.914371i
\(35\) 1.61876 + 3.79031i 0.273620 + 0.640679i
\(36\) −0.325222 + 2.26197i −0.0542037 + 0.376995i
\(37\) −1.88068 0.969558i −0.309182 0.159394i 0.296652 0.954986i \(-0.404130\pi\)
−0.605834 + 0.795591i \(0.707160\pi\)
\(38\) −4.49595 + 4.28688i −0.729339 + 0.695423i
\(39\) −3.40975 1.36506i −0.545998 0.218584i
\(40\) 0.300833 0.869201i 0.0475659 0.137433i
\(41\) 4.01016 + 2.57717i 0.626281 + 0.402487i 0.814931 0.579558i \(-0.196775\pi\)
−0.188650 + 0.982044i \(0.560411\pi\)
\(42\) −5.03262 2.16087i −0.776550 0.333429i
\(43\) 2.31170 0.678776i 0.352531 0.103512i −0.100672 0.994920i \(-0.532099\pi\)
0.453203 + 0.891407i \(0.350281\pi\)
\(44\) −4.06338 + 5.70622i −0.612578 + 0.860245i
\(45\) 0.778892 1.34908i 0.116110 0.201109i
\(46\) 9.92762 + 0.0503137i 1.46375 + 0.00741836i
\(47\) 5.81201 + 10.0667i 0.847769 + 1.46838i 0.883194 + 0.469007i \(0.155388\pi\)
−0.0354249 + 0.999372i \(0.511278\pi\)
\(48\) −1.39089 3.04562i −0.200757 0.439597i
\(49\) 4.33777 5.49397i 0.619682 0.784853i
\(50\) 3.48842 4.02585i 0.493336 0.569341i
\(51\) −0.134726 + 2.82825i −0.0188654 + 0.396034i
\(52\) −8.24162 + 1.58844i −1.14291 + 0.220277i
\(53\) −10.4446 4.18139i −1.43468 0.574358i −0.481412 0.876495i \(-0.659876\pi\)
−0.953265 + 0.302137i \(0.902300\pi\)
\(54\) 0.488040 + 2.01173i 0.0664138 + 0.273761i
\(55\) 4.01718 2.58169i 0.541676 0.348114i
\(56\) −1.54080 + 0.257562i −0.205898 + 0.0344182i
\(57\) −1.24663 + 2.72974i −0.165120 + 0.361562i
\(58\) 13.8017 1.31790i 1.81225 0.173049i
\(59\) 4.53779 + 3.56856i 0.590770 + 0.464586i 0.868238 0.496148i \(-0.165253\pi\)
−0.277468 + 0.960735i \(0.589495\pi\)
\(60\) −0.169386 3.55586i −0.0218677 0.459060i
\(61\) 1.21268 + 4.99875i 0.155268 + 0.640024i 0.995245 + 0.0974019i \(0.0310532\pi\)
−0.839977 + 0.542622i \(0.817432\pi\)
\(62\) 2.76248 + 19.2134i 0.350835 + 2.44011i
\(63\) −2.64494 0.0655266i −0.333231 0.00825558i
\(64\) −8.49322 5.45826i −1.06165 0.682283i
\(65\) 5.61811 + 1.08280i 0.696840 + 0.134305i
\(66\) −1.49604 + 6.16675i −0.184150 + 0.759075i
\(67\) −7.43404 0.709865i −0.908213 0.0867238i −0.369517 0.929224i \(-0.620477\pi\)
−0.538696 + 0.842500i \(0.681083\pi\)
\(68\) 3.23526 + 5.60363i 0.392333 + 0.679540i
\(69\) 4.46127 1.75984i 0.537074 0.211860i
\(70\) 8.33511 + 1.82166i 0.996236 + 0.217729i
\(71\) 2.84382 + 6.22711i 0.337500 + 0.739022i 0.999949 0.0100852i \(-0.00321027\pi\)
−0.662449 + 0.749107i \(0.730483\pi\)
\(72\) 0.427326 + 0.407455i 0.0503609 + 0.0480190i
\(73\) −3.82180 11.0424i −0.447308 1.29241i −0.913179 0.407559i \(-0.866380\pi\)
0.465871 0.884853i \(-0.345741\pi\)
\(74\) −3.89316 + 2.00706i −0.452571 + 0.233316i
\(75\) 0.841648 2.43178i 0.0971851 0.280798i
\(76\) 0.975967 + 6.78800i 0.111951 + 0.778637i
\(77\) −7.11446 3.89375i −0.810768 0.443734i
\(78\) −6.39612 + 4.11054i −0.724218 + 0.465427i
\(79\) 8.12921 3.25444i 0.914608 0.366154i 0.133860 0.991000i \(-0.457263\pi\)
0.780748 + 0.624847i \(0.214839\pi\)
\(80\) 3.02543 + 4.24862i 0.338254 + 0.475011i
\(81\) 0.580057 + 0.814576i 0.0644508 + 0.0905084i
\(82\) 9.16097 3.66750i 1.01166 0.405008i
\(83\) −14.0798 + 9.04852i −1.54546 + 0.993204i −0.559002 + 0.829166i \(0.688815\pi\)
−0.986454 + 0.164038i \(0.947548\pi\)
\(84\) −5.16574 + 3.14182i −0.563628 + 0.342801i
\(85\) −0.627721 4.36589i −0.0680859 0.473548i
\(86\) 1.63123 4.71312i 0.175900 0.508229i
\(87\) 5.95301 3.06899i 0.638230 0.329030i
\(88\) 0.591979 + 1.71041i 0.0631051 + 0.182330i
\(89\) −0.639117 0.609397i −0.0677463 0.0645960i 0.655450 0.755239i \(-0.272479\pi\)
−0.723196 + 0.690643i \(0.757328\pi\)
\(90\) −1.33960 2.93332i −0.141207 0.309199i
\(91\) −2.94986 9.25889i −0.309229 0.970595i
\(92\) 6.40234 8.89507i 0.667490 0.927375i
\(93\) 4.68847 + 8.12067i 0.486172 + 0.842075i
\(94\) 23.9537 + 2.28730i 2.47064 + 0.235917i
\(95\) 1.10212 4.54302i 0.113075 0.466104i
\(96\) −7.96531 1.53519i −0.812956 0.156684i
\(97\) 6.82665 + 4.38722i 0.693141 + 0.445455i 0.839201 0.543821i \(-0.183023\pi\)
−0.146060 + 0.989276i \(0.546659\pi\)
\(98\) −4.05550 13.9115i −0.409667 1.40527i
\(99\) 0.436252 + 3.03420i 0.0438450 + 0.304949i
\(100\) −1.38641 5.71484i −0.138641 0.571484i
\(101\) 0.0408642 + 0.857846i 0.00406614 + 0.0853589i 0.999988 0.00485902i \(-0.00154668\pi\)
−0.995922 + 0.0902179i \(0.971244\pi\)
\(102\) 4.60732 + 3.62324i 0.456193 + 0.358754i
\(103\) −4.82687 + 0.460910i −0.475605 + 0.0454148i −0.330107 0.943944i \(-0.607085\pi\)
−0.145499 + 0.989358i \(0.546479\pi\)
\(104\) −0.900878 + 1.97265i −0.0883383 + 0.193434i
\(105\) 4.06510 0.679529i 0.396713 0.0663153i
\(106\) −19.5923 + 12.5912i −1.90297 + 1.22297i
\(107\) 0.0398273 + 0.164170i 0.00385025 + 0.0158710i 0.973704 0.227816i \(-0.0731583\pi\)
−0.969854 + 0.243687i \(0.921643\pi\)
\(108\) 2.12153 + 0.849334i 0.204145 + 0.0817272i
\(109\) 14.6690 2.82722i 1.40504 0.270798i 0.570294 0.821440i \(-0.306829\pi\)
0.834742 + 0.550642i \(0.185617\pi\)
\(110\) 0.470352 9.87391i 0.0448463 0.941441i
\(111\) −1.38562 + 1.59909i −0.131517 + 0.151778i
\(112\) 3.87838 7.96433i 0.366473 0.752559i
\(113\) −6.78047 14.8472i −0.637853 1.39670i −0.901795 0.432165i \(-0.857750\pi\)
0.263941 0.964539i \(-0.414977\pi\)
\(114\) 3.10608 + 5.37988i 0.290911 + 0.503872i
\(115\) −6.30528 + 4.00715i −0.587971 + 0.373669i
\(116\) 7.65271 13.2549i 0.710536 1.23068i
\(117\) −2.13046 + 2.99181i −0.196961 + 0.276593i
\(118\) 11.4662 3.36679i 1.05555 0.309938i
\(119\) −6.00146 + 4.48357i −0.550153 + 0.411008i
\(120\) −0.773775 0.497275i −0.0706357 0.0453948i
\(121\) 0.524393 1.51513i 0.0476721 0.137739i
\(122\) 9.88522 + 3.95744i 0.894965 + 0.358290i
\(123\) 3.44996 3.28953i 0.311072 0.296607i
\(124\) 19.0464 + 9.81909i 1.71042 + 0.881781i
\(125\) −1.67897 + 11.6775i −0.150172 + 1.04447i
\(126\) −3.28644 + 4.38131i −0.292779 + 0.390318i
\(127\) −6.57458 + 14.3963i −0.583399 + 1.27747i 0.355950 + 0.934505i \(0.384157\pi\)
−0.939349 + 0.342961i \(0.888570\pi\)
\(128\) −4.34062 + 1.73772i −0.383660 + 0.153594i
\(129\) −0.114639 2.40656i −0.0100934 0.211886i
\(130\) 8.57188 8.17327i 0.751803 0.716843i
\(131\) 1.86683 1.46809i 0.163105 0.128268i −0.533270 0.845945i \(-0.679037\pi\)
0.696376 + 0.717677i \(0.254795\pi\)
\(132\) 4.58739 + 5.29413i 0.399281 + 0.460795i
\(133\) −7.67115 + 2.04751i −0.665173 + 0.177542i
\(134\) −10.1235 + 11.6832i −0.874540 + 1.00927i
\(135\) −1.12742 1.07499i −0.0970329 0.0925207i
\(136\) 1.66425 + 0.158917i 0.142708 + 0.0136270i
\(137\) −2.14126 + 3.70877i −0.182940 + 0.316862i −0.942881 0.333131i \(-0.891895\pi\)
0.759940 + 0.649993i \(0.225228\pi\)
\(138\) 2.38942 9.63592i 0.203401 0.820264i
\(139\) −20.2978 −1.72163 −0.860817 0.508915i \(-0.830047\pi\)
−0.860817 + 0.508915i \(0.830047\pi\)
\(140\) 6.97544 6.32875i 0.589532 0.534877i
\(141\) 11.1532 3.27487i 0.939267 0.275794i
\(142\) 13.9151 + 2.68192i 1.16773 + 0.225062i
\(143\) −10.0072 + 5.15906i −0.836842 + 0.431422i
\(144\) −3.28768 + 0.633648i −0.273973 + 0.0528040i
\(145\) −8.20114 + 6.44945i −0.681068 + 0.535598i
\(146\) −23.2091 6.81482i −1.92080 0.563998i
\(147\) −4.31644 5.51075i −0.356014 0.454519i
\(148\) −0.688135 + 4.78608i −0.0565644 + 0.393414i
\(149\) 1.86318 0.177912i 0.152638 0.0145751i −0.0184575 0.999830i \(-0.505876\pi\)
0.171095 + 0.985255i \(0.445269\pi\)
\(150\) −3.08994 4.33921i −0.252292 0.354295i
\(151\) 3.43660 + 2.70257i 0.279667 + 0.219932i 0.748133 0.663549i \(-0.230951\pi\)
−0.468466 + 0.883482i \(0.655193\pi\)
\(152\) 1.57492 + 0.811925i 0.127742 + 0.0658558i
\(153\) 2.71676 + 0.797712i 0.219637 + 0.0644912i
\(154\) −15.1086 + 7.32120i −1.21748 + 0.589959i
\(155\) −9.56571 11.0394i −0.768337 0.886708i
\(156\) −0.399369 + 8.38379i −0.0319751 + 0.671240i
\(157\) 1.54597 + 4.46680i 0.123382 + 0.356489i 0.989730 0.142953i \(-0.0456597\pi\)
−0.866347 + 0.499442i \(0.833538\pi\)
\(158\) 4.27350 17.6156i 0.339981 1.40142i
\(159\) −6.52593 + 9.16438i −0.517540 + 0.726783i
\(160\) 12.6366 0.999010
\(161\) 11.0996 + 6.14811i 0.874770 + 0.484539i
\(162\) 2.07008 0.162641
\(163\) 13.1778 18.5056i 1.03216 1.44947i 0.144204 0.989548i \(-0.453938\pi\)
0.887959 0.459922i \(-0.152123\pi\)
\(164\) 2.56822 10.5863i 0.200544 0.826655i
\(165\) −1.56183 4.51260i −0.121588 0.351305i
\(166\) −1.64853 + 34.6070i −0.127951 + 2.68602i
\(167\) 2.26395 + 2.61274i 0.175190 + 0.202180i 0.836553 0.547886i \(-0.184567\pi\)
−0.661363 + 0.750066i \(0.730022\pi\)
\(168\) −0.112955 + 1.55809i −0.00871464 + 0.120209i
\(169\) −0.469967 0.137995i −0.0361513 0.0106150i
\(170\) −8.11568 4.18392i −0.622444 0.320892i
\(171\) 2.35889 + 1.85505i 0.180389 + 0.141859i
\(172\) −3.19367 4.48488i −0.243515 0.341969i
\(173\) 9.87371 0.942825i 0.750685 0.0716817i 0.287302 0.957840i \(-0.407242\pi\)
0.463383 + 0.886158i \(0.346636\pi\)
\(174\) 1.97312 13.7233i 0.149582 1.04036i
\(175\) 6.38138 2.37309i 0.482387 0.179388i
\(176\) −9.84779 2.89157i −0.742305 0.217960i
\(177\) 4.53779 3.56856i 0.341081 0.268229i
\(178\) −1.79502 + 0.345961i −0.134542 + 0.0259309i
\(179\) −1.85734 + 0.957526i −0.138824 + 0.0715689i −0.526239 0.850337i \(-0.676398\pi\)
0.387415 + 0.921905i \(0.373368\pi\)
\(180\) −3.49556 0.673714i −0.260544 0.0502157i
\(181\) 2.14569 0.630031i 0.159488 0.0468298i −0.201014 0.979588i \(-0.564424\pi\)
0.360502 + 0.932759i \(0.382605\pi\)
\(182\) −19.1548 6.14358i −1.41985 0.455393i
\(183\) 5.14374 0.380236
\(184\) −0.912579 2.68060i −0.0672762 0.197617i
\(185\) 1.64805 2.85451i 0.121167 0.209868i
\(186\) 19.3231 + 1.84514i 1.41684 + 0.135292i
\(187\) 6.28168 + 5.98957i 0.459362 + 0.438001i
\(188\) 17.3954 20.0754i 1.26869 1.46415i
\(189\) −0.687248 + 2.55493i −0.0499899 + 0.185844i
\(190\) −6.33721 7.31353i −0.459750 0.530579i
\(191\) −16.3665 + 12.8707i −1.18424 + 0.931293i −0.998681 0.0513412i \(-0.983650\pi\)
−0.185554 + 0.982634i \(0.559408\pi\)
\(192\) −7.30676 + 6.96698i −0.527320 + 0.502798i
\(193\) 0.516944 + 10.8520i 0.0372104 + 0.781143i 0.937947 + 0.346778i \(0.112724\pi\)
−0.900737 + 0.434365i \(0.856973\pi\)
\(194\) 15.5951 6.24333i 1.11966 0.448245i
\(195\) 2.37680 5.20446i 0.170206 0.372699i
\(196\) −15.1066 5.26127i −1.07905 0.375805i
\(197\) −0.812104 + 5.64830i −0.0578600 + 0.402425i 0.940224 + 0.340556i \(0.110615\pi\)
−0.998084 + 0.0618691i \(0.980294\pi\)
\(198\) 5.64022 + 2.90773i 0.400833 + 0.206644i
\(199\) 0.317997 0.303209i 0.0225422 0.0214939i −0.678724 0.734393i \(-0.737467\pi\)
0.701266 + 0.712899i \(0.252618\pi\)
\(200\) −1.41056 0.564705i −0.0997420 0.0399307i
\(201\) −2.44250 + 7.05713i −0.172280 + 0.497772i
\(202\) 1.49560 + 0.961164i 0.105230 + 0.0676273i
\(203\) 16.2826 + 6.99128i 1.14281 + 0.490692i
\(204\) 6.20842 1.82296i 0.434676 0.127632i
\(205\) −4.30737 + 6.04885i −0.300840 + 0.422470i
\(206\) −5.01873 + 8.69269i −0.349671 + 0.605648i
\(207\) −0.658451 4.75041i −0.0457655 0.330177i
\(208\) −6.14869 10.6498i −0.426335 0.738434i
\(209\) 3.82142 + 8.36774i 0.264333 + 0.578809i
\(210\) 3.73538 7.67068i 0.257766 0.529327i
\(211\) −0.962788 + 1.11112i −0.0662811 + 0.0764924i −0.787922 0.615775i \(-0.788843\pi\)
0.721641 + 0.692268i \(0.243388\pi\)
\(212\) −1.22333 + 25.6808i −0.0840186 + 1.76377i
\(213\) 6.72203 1.29557i 0.460586 0.0887707i
\(214\) 0.324653 + 0.129972i 0.0221929 + 0.00888468i
\(215\) 0.884840 + 3.64736i 0.0603456 + 0.248748i
\(216\) 0.496715 0.319220i 0.0337972 0.0217201i
\(217\) −8.69241 + 23.2364i −0.590079 + 1.57739i
\(218\) 12.8467 28.1302i 0.870085 1.90522i
\(219\) −11.6321 + 1.11073i −0.786027 + 0.0750564i
\(220\) −8.57780 6.74566i −0.578315 0.454792i
\(221\) 0.494828 + 10.3877i 0.0332857 + 0.698753i
\(222\) 1.03264 + 4.25660i 0.0693063 + 0.285684i
\(223\) −2.32020 16.1373i −0.155372 1.08064i −0.907025 0.421077i \(-0.861652\pi\)
0.751653 0.659559i \(-0.229257\pi\)
\(224\) −10.2674 18.8468i −0.686021 1.25925i
\(225\) −2.16481 1.39124i −0.144320 0.0927491i
\(226\) −33.1776 6.39446i −2.20694 0.425353i
\(227\) 5.93460 24.4627i 0.393893 1.62365i −0.337243 0.941418i \(-0.609494\pi\)
0.731136 0.682232i \(-0.238990\pi\)
\(228\) 6.82675 + 0.651875i 0.452112 + 0.0431715i
\(229\) −5.80343 10.0518i −0.383502 0.664244i 0.608058 0.793892i \(-0.291949\pi\)
−0.991560 + 0.129648i \(0.958615\pi\)
\(230\) −0.814148 + 15.4438i −0.0536833 + 1.01834i
\(231\) −5.46129 + 5.99593i −0.359326 + 0.394503i
\(232\) −1.64278 3.59718i −0.107854 0.236166i
\(233\) −15.4010 14.6848i −1.00895 0.962033i −0.00967029 0.999953i \(-0.503078\pi\)
−0.999281 + 0.0379204i \(0.987927\pi\)
\(234\) 2.48673 + 7.18492i 0.162562 + 0.469693i
\(235\) −16.0948 + 8.29744i −1.04991 + 0.541265i
\(236\) 4.31479 12.4668i 0.280869 0.811518i
\(237\) −1.24617 8.66732i −0.0809476 0.563003i
\(238\) 0.354018 + 15.5036i 0.0229476 + 1.00495i
\(239\) −15.6072 + 10.0301i −1.00954 + 0.648795i −0.937275 0.348590i \(-0.886660\pi\)
−0.0722693 + 0.997385i \(0.523024\pi\)
\(240\) 4.84213 1.93850i 0.312558 0.125130i
\(241\) −1.72430 2.42144i −0.111072 0.155979i 0.755298 0.655382i \(-0.227492\pi\)
−0.866370 + 0.499403i \(0.833553\pi\)
\(242\) −1.92520 2.70357i −0.123757 0.173792i
\(243\) 0.928368 0.371662i 0.0595548 0.0238422i
\(244\) 9.88862 6.35503i 0.633054 0.406839i
\(245\) 8.22720 + 7.15688i 0.525617 + 0.457236i
\(246\) −1.40434 9.76739i −0.0895373 0.622746i
\(247\) −3.60492 + 10.4157i −0.229376 + 0.662738i
\(248\) 4.92111 2.53701i 0.312491 0.161100i
\(249\) 5.47402 + 15.8162i 0.346902 + 1.00231i
\(250\) 17.6750 + 16.8531i 1.11786 + 1.06588i
\(251\) −3.95460 8.65937i −0.249612 0.546575i 0.742802 0.669511i \(-0.233496\pi\)
−0.992415 + 0.122936i \(0.960769\pi\)
\(252\) 1.83539 + 5.76084i 0.115619 + 0.362899i
\(253\) 4.87862 13.8681i 0.306716 0.871877i
\(254\) 16.3811 + 28.3729i 1.02784 + 1.78027i
\(255\) −4.39082 0.419272i −0.274964 0.0262558i
\(256\) 2.47856 10.2167i 0.154910 0.638547i
\(257\) −8.08954 1.55913i −0.504612 0.0972560i −0.0694088 0.997588i \(-0.522111\pi\)
−0.435203 + 0.900332i \(0.643323\pi\)
\(258\) −4.19569 2.69641i −0.261212 0.167871i
\(259\) −5.59641 0.138647i −0.347744 0.00861513i
\(260\) −1.86076 12.9419i −0.115399 0.802620i
\(261\) −1.57901 6.50875i −0.0977380 0.402882i
\(262\) −0.233927 4.91074i −0.0144521 0.303387i
\(263\) −8.48274 6.67090i −0.523068 0.411345i 0.321406 0.946941i \(-0.395845\pi\)
−0.844474 + 0.535596i \(0.820087\pi\)
\(264\) 1.80176 0.172047i 0.110891 0.0105888i
\(265\) 7.28050 15.9421i 0.447237 0.979313i
\(266\) −5.75865 + 15.3940i −0.353086 + 0.943864i
\(267\) −0.742897 + 0.477431i −0.0454645 + 0.0292183i
\(268\) 4.02341 + 16.5847i 0.245769 + 1.01307i
\(269\) −22.1407 8.86382i −1.34995 0.540437i −0.419796 0.907618i \(-0.637898\pi\)
−0.930149 + 0.367182i \(0.880323\pi\)
\(270\) −3.16646 + 0.610285i −0.192705 + 0.0371408i
\(271\) 1.21249 25.4533i 0.0736535 1.54618i −0.595684 0.803219i \(-0.703119\pi\)
0.669337 0.742959i \(-0.266578\pi\)
\(272\) −6.20823 + 7.16468i −0.376429 + 0.434423i
\(273\) −9.69335 + 0.683839i −0.586668 + 0.0413878i
\(274\) 3.68272 + 8.06403i 0.222481 + 0.487166i
\(275\) −3.94412 6.83141i −0.237839 0.411949i
\(276\) −7.13493 8.31896i −0.429472 0.500743i
\(277\) 0.343135 0.594327i 0.0206170 0.0357096i −0.855533 0.517749i \(-0.826770\pi\)
0.876150 + 0.482039i \(0.160104\pi\)
\(278\) −24.3728 + 34.2268i −1.46178 + 2.05279i
\(279\) 8.99711 2.64179i 0.538643 0.158160i
\(280\) −0.286564 2.41660i −0.0171255 0.144419i
\(281\) 19.7274 + 12.6780i 1.17684 + 0.756309i 0.974803 0.223069i \(-0.0716075\pi\)
0.202037 + 0.979378i \(0.435244\pi\)
\(282\) 7.87013 22.7392i 0.468659 1.35410i
\(283\) −10.4862 4.19805i −0.623342 0.249548i 0.0384211 0.999262i \(-0.487767\pi\)
−0.661763 + 0.749713i \(0.730191\pi\)
\(284\) 11.3222 10.7957i 0.671847 0.640604i
\(285\) −4.15512 2.14211i −0.246128 0.126888i
\(286\) −3.31686 + 23.0693i −0.196130 + 1.36412i
\(287\) 12.5213 + 1.50942i 0.739111 + 0.0890983i
\(288\) −3.36981 + 7.37885i −0.198568 + 0.434803i
\(289\) −8.33941 + 3.33860i −0.490554 + 0.196388i
\(290\) 1.02766 + 21.5733i 0.0603466 + 1.26683i
\(291\) 5.87299 5.59989i 0.344281 0.328271i
\(292\) −20.9900 + 16.5067i −1.22835 + 0.965981i
\(293\) 6.06378 + 6.99797i 0.354250 + 0.408826i 0.904705 0.426039i \(-0.140091\pi\)
−0.550455 + 0.834865i \(0.685546\pi\)
\(294\) −14.4755 + 0.661427i −0.844226 + 0.0385752i
\(295\) −5.88909 + 6.79637i −0.342876 + 0.395700i
\(296\) 0.904177 + 0.862131i 0.0525542 + 0.0501104i
\(297\) 3.05152 + 0.291385i 0.177067 + 0.0169079i
\(298\) 1.93724 3.35539i 0.112221 0.194373i
\(299\) 15.6970 7.99192i 0.907779 0.462184i
\(300\) −5.88060 −0.339517
\(301\) 4.72089 4.28323i 0.272108 0.246881i
\(302\) 8.68373 2.54977i 0.499693 0.146723i
\(303\) 0.843299 + 0.162533i 0.0484463 + 0.00933725i
\(304\) −8.93071 + 4.60410i −0.512211 + 0.264063i
\(305\) −7.86803 + 1.51644i −0.450522 + 0.0868310i
\(306\) 4.60732 3.62324i 0.263383 0.207127i
\(307\) −17.9040 5.25708i −1.02183 0.300038i −0.272448 0.962171i \(-0.587833\pi\)
−0.749386 + 0.662133i \(0.769651\pi\)
\(308\) −3.09119 + 18.2743i −0.176137 + 1.04127i
\(309\) −0.690060 + 4.79947i −0.0392561 + 0.273032i
\(310\) −30.1012 + 2.87432i −1.70964 + 0.163250i
\(311\) −7.99545 11.2280i −0.453380 0.636683i 0.523105 0.852268i \(-0.324774\pi\)
−0.976485 + 0.215585i \(0.930834\pi\)
\(312\) 1.70465 + 1.34055i 0.0965069 + 0.0758938i
\(313\) 19.3343 + 9.96752i 1.09284 + 0.563397i 0.907830 0.419339i \(-0.137738\pi\)
0.185009 + 0.982737i \(0.440769\pi\)
\(314\) 9.38843 + 2.75669i 0.529820 + 0.155569i
\(315\) 0.298010 4.11072i 0.0167909 0.231613i
\(316\) −13.1041 15.1229i −0.737163 0.850731i
\(317\) 1.32479 27.8109i 0.0744079 1.56201i −0.585503 0.810670i \(-0.699103\pi\)
0.659911 0.751344i \(-0.270594\pi\)
\(318\) 7.61722 + 22.0085i 0.427153 + 1.23418i
\(319\) 4.84029 19.9519i 0.271004 1.11709i
\(320\) 9.12270 12.8110i 0.509974 0.716159i
\(321\) 0.168932 0.00942889
\(322\) 23.6952 11.3341i 1.32048 0.631624i
\(323\) 8.49698 0.472784
\(324\) 1.32556 1.86149i 0.0736424 0.103416i
\(325\) 2.22825 9.18496i 0.123601 0.509490i
\(326\) −15.3814 44.4417i −0.851898 2.46140i
\(327\) 0.710825 14.9221i 0.0393087 0.825191i
\(328\) −1.84316 2.12713i −0.101772 0.117451i
\(329\) 25.4524 + 17.2627i 1.40324 + 0.951723i
\(330\) −9.48469 2.78496i −0.522115 0.153307i
\(331\) −14.5203 7.48573i −0.798108 0.411453i 0.0103947 0.999946i \(-0.496691\pi\)
−0.808502 + 0.588493i \(0.799721\pi\)
\(332\) 30.0642 + 23.6428i 1.64999 + 1.29757i
\(333\) 1.22734 + 1.72356i 0.0672577 + 0.0944503i
\(334\) 7.12418 0.680276i 0.389818 0.0372231i
\(335\) 1.65559 11.5149i 0.0904546 0.629126i
\(336\) −6.82547 5.64672i −0.372360 0.308054i
\(337\) −15.4540 4.53771i −0.841834 0.247185i −0.167741 0.985831i \(-0.553647\pi\)
−0.674093 + 0.738646i \(0.735465\pi\)
\(338\) −0.797011 + 0.626776i −0.0433517 + 0.0340921i
\(339\) −16.0272 + 3.08899i −0.870478 + 0.167771i
\(340\) −8.95916 + 4.61877i −0.485879 + 0.250488i
\(341\) 28.2247 + 5.43986i 1.52845 + 0.294585i
\(342\) 5.96052 1.75017i 0.322308 0.0946381i
\(343\) 3.98937 18.0855i 0.215406 0.976525i
\(344\) −1.42256 −0.0766993
\(345\) 2.40767 + 7.07227i 0.129625 + 0.380758i
\(346\) 10.2662 17.7815i 0.551913 0.955941i
\(347\) 19.7462 + 1.88554i 1.06003 + 0.101221i 0.610479 0.792032i \(-0.290977\pi\)
0.449554 + 0.893253i \(0.351583\pi\)
\(348\) −11.0771 10.5619i −0.593792 0.566180i
\(349\) 19.9920 23.0720i 1.07015 1.23502i 0.0993654 0.995051i \(-0.468319\pi\)
0.970782 0.239965i \(-0.0771358\pi\)
\(350\) 3.66094 13.6100i 0.195685 0.727487i
\(351\) 2.40520 + 2.77575i 0.128380 + 0.148159i
\(352\) −19.5462 + 15.3713i −1.04182 + 0.819293i
\(353\) −18.2188 + 17.3716i −0.969690 + 0.924598i −0.997182 0.0750241i \(-0.976097\pi\)
0.0274913 + 0.999622i \(0.491248\pi\)
\(354\) −0.568619 11.9368i −0.0302218 0.634433i
\(355\) −9.90029 + 3.96348i −0.525453 + 0.210360i
\(356\) −0.838327 + 1.83568i −0.0444312 + 0.0972909i
\(357\) 2.94228 + 6.88933i 0.155722 + 0.364622i
\(358\) −0.615613 + 4.28168i −0.0325361 + 0.226294i
\(359\) −5.49405 2.83238i −0.289965 0.149487i 0.307107 0.951675i \(-0.400639\pi\)
−0.597072 + 0.802188i \(0.703669\pi\)
\(360\) −0.665682 + 0.634726i −0.0350845 + 0.0334530i
\(361\) −9.27853 3.71456i −0.488344 0.195503i
\(362\) 1.51408 4.37466i 0.0795785 0.229927i
\(363\) −1.34879 0.866817i −0.0707933 0.0454961i
\(364\) −17.7902 + 13.2907i −0.932458 + 0.696620i
\(365\) 17.4654 5.12831i 0.914182 0.268428i
\(366\) 6.17642 8.67357i 0.322847 0.453375i
\(367\) 1.87553 3.24852i 0.0979020 0.169571i −0.812914 0.582384i \(-0.802120\pi\)
0.910816 + 0.412812i \(0.135453\pi\)
\(368\) 15.3838 + 4.60190i 0.801935 + 0.239891i
\(369\) −2.38344 4.12824i −0.124077 0.214908i
\(370\) −2.83446 6.20660i −0.147356 0.322666i
\(371\) −29.6922 + 2.09470i −1.54154 + 0.108752i
\(372\) 14.0327 16.1946i 0.727560 0.839649i
\(373\) 1.34375 28.2088i 0.0695767 1.46059i −0.646682 0.762760i \(-0.723844\pi\)
0.716259 0.697835i \(-0.245853\pi\)
\(374\) 17.6426 3.40034i 0.912279 0.175827i
\(375\) 10.9525 + 4.38472i 0.565584 + 0.226426i
\(376\) −1.61810 6.66990i −0.0834472 0.343974i
\(377\) 20.6940 13.2993i 1.06580 0.684946i
\(378\) 3.48300 + 4.22674i 0.179146 + 0.217400i
\(379\) −8.69251 + 19.0339i −0.446504 + 0.977708i 0.543854 + 0.839180i \(0.316964\pi\)
−0.990358 + 0.138528i \(0.955763\pi\)
\(380\) −10.6346 + 1.01548i −0.545543 + 0.0520931i
\(381\) 12.4405 + 9.78331i 0.637346 + 0.501214i
\(382\) 2.05084 + 43.0524i 0.104930 + 2.20275i
\(383\) −1.43106 5.89889i −0.0731235 0.301419i 0.923493 0.383616i \(-0.125321\pi\)
−0.996616 + 0.0821970i \(0.973806\pi\)
\(384\) 0.665398 + 4.62795i 0.0339560 + 0.236169i
\(385\) 6.58608 10.7816i 0.335658 0.549482i
\(386\) 18.9197 + 12.1590i 0.962990 + 0.618876i
\(387\) −2.36575 0.455962i −0.120258 0.0231778i
\(388\) 4.37198 18.0216i 0.221954 0.914906i
\(389\) 19.9130 + 1.90146i 1.00963 + 0.0964078i 0.586741 0.809774i \(-0.300411\pi\)
0.422887 + 0.906182i \(0.361017\pi\)
\(390\) −5.92198 10.2572i −0.299871 0.519392i
\(391\) −9.78009 9.42039i −0.494600 0.476409i
\(392\) −3.37139 + 2.39092i −0.170281 + 0.120760i
\(393\) −0.986585 2.16032i −0.0497666 0.108974i
\(394\) 8.54923 + 8.15168i 0.430704 + 0.410676i
\(395\) 4.46142 + 12.8904i 0.224478 + 0.648588i
\(396\) 6.22642 3.20994i 0.312889 0.161306i
\(397\) −7.89205 + 22.8026i −0.396091 + 1.14443i 0.554017 + 0.832506i \(0.313094\pi\)
−0.950107 + 0.311923i \(0.899027\pi\)
\(398\) −0.129444 0.900301i −0.00648843 0.0451280i
\(399\) 0.181252 + 7.93763i 0.00907397 + 0.397379i
\(400\) 7.24818 4.65812i 0.362409 0.232906i
\(401\) −1.16787 + 0.467543i −0.0583204 + 0.0233480i −0.400639 0.916236i \(-0.631212\pi\)
0.342319 + 0.939584i \(0.388788\pi\)
\(402\) 8.96713 + 12.5926i 0.447240 + 0.628061i
\(403\) 19.9772 + 28.0541i 0.995136 + 1.39747i
\(404\) 1.82201 0.729424i 0.0906485 0.0362902i
\(405\) −1.31049 + 0.842201i −0.0651188 + 0.0418493i
\(406\) 31.3405 19.0614i 1.55540 0.946000i
\(407\) 0.923063 + 6.42004i 0.0457545 + 0.318230i
\(408\) 0.546799 1.57987i 0.0270706 0.0782154i
\(409\) 11.6297 5.99554i 0.575053 0.296461i −0.146062 0.989275i \(-0.546660\pi\)
0.721116 + 0.692815i \(0.243630\pi\)
\(410\) 5.02767 + 14.5265i 0.248299 + 0.717412i
\(411\) 3.09941 + 2.95528i 0.152882 + 0.145773i
\(412\) 4.60308 + 10.0793i 0.226777 + 0.496573i
\(413\) 14.9214 + 3.26110i 0.734234 + 0.160468i
\(414\) −8.80097 4.59382i −0.432544 0.225774i
\(415\) −13.0360 22.5791i −0.639914 1.10836i
\(416\) −29.6589 2.83208i −1.45415 0.138854i
\(417\) −4.78538 + 19.7256i −0.234341 + 0.965966i
\(418\) 18.6986 + 3.60386i 0.914579 + 0.176271i
\(419\) 19.0472 + 12.2409i 0.930518 + 0.598007i 0.915691 0.401883i \(-0.131644\pi\)
0.0148264 + 0.999890i \(0.495280\pi\)
\(420\) −4.50583 8.27087i −0.219862 0.403577i
\(421\) 1.68735 + 11.7357i 0.0822362 + 0.571965i 0.988726 + 0.149737i \(0.0478427\pi\)
−0.906490 + 0.422228i \(0.861248\pi\)
\(422\) 0.717525 + 2.95768i 0.0349286 + 0.143977i
\(423\) −0.553094 11.6109i −0.0268923 0.564539i
\(424\) 5.22161 + 4.10632i 0.253584 + 0.199420i
\(425\) −7.25322 + 0.692598i −0.351833 + 0.0335959i
\(426\) 5.88694 12.8906i 0.285223 0.624552i
\(427\) 8.65458 + 10.5026i 0.418824 + 0.508257i
\(428\) 0.324765 0.208714i 0.0156981 0.0100886i
\(429\) 2.65435 + 10.9414i 0.128153 + 0.528255i
\(430\) 7.21280 + 2.88757i 0.347832 + 0.139251i
\(431\) −21.0473 + 4.05654i −1.01381 + 0.195396i −0.668990 0.743271i \(-0.733273\pi\)
−0.344823 + 0.938668i \(0.612061\pi\)
\(432\) −0.159313 + 3.34439i −0.00766496 + 0.160907i
\(433\) −4.38358 + 5.05892i −0.210661 + 0.243116i −0.851240 0.524776i \(-0.824149\pi\)
0.640579 + 0.767892i \(0.278694\pi\)
\(434\) 28.7446 + 42.5589i 1.37979 + 2.04289i
\(435\) 4.33416 + 9.49048i 0.207807 + 0.455034i
\(436\) −17.0695 29.5652i −0.817480 1.41592i
\(437\) −5.91220 13.1215i −0.282819 0.627686i
\(438\) −12.0945 + 20.9483i −0.577897 + 1.00095i
\(439\) −1.01163 + 1.42064i −0.0482825 + 0.0678033i −0.838011 0.545653i \(-0.816282\pi\)
0.789729 + 0.613456i \(0.210221\pi\)
\(440\) −2.70531 + 0.794351i −0.128971 + 0.0378692i
\(441\) −6.37305 + 2.89556i −0.303479 + 0.137884i
\(442\) 18.1103 + 11.6388i 0.861420 + 0.553601i
\(443\) 8.16107 23.5799i 0.387744 1.12031i −0.567214 0.823571i \(-0.691979\pi\)
0.954958 0.296742i \(-0.0959001\pi\)
\(444\) 4.48894 + 1.79710i 0.213036 + 0.0852866i
\(445\) 0.995606 0.949309i 0.0471963 0.0450015i
\(446\) −29.9974 15.4647i −1.42042 0.732276i
\(447\) 0.266364 1.85260i 0.0125986 0.0876252i
\(448\) −26.5193 3.19685i −1.25292 0.151037i
\(449\) −0.313563 + 0.686608i −0.0147980 + 0.0324030i −0.916887 0.399148i \(-0.869306\pi\)
0.902089 + 0.431551i \(0.142033\pi\)
\(450\) −4.94538 + 1.97983i −0.233127 + 0.0933301i
\(451\) −0.695286 14.5959i −0.0327398 0.687292i
\(452\) −26.9952 + 25.7399i −1.26975 + 1.21070i
\(453\) 3.43660 2.70257i 0.161466 0.126978i
\(454\) −34.1239 39.3811i −1.60152 1.84825i
\(455\) 14.6257 3.90374i 0.685661 0.183010i
\(456\) 1.16034 1.33910i 0.0543378 0.0627092i
\(457\) 26.7850 + 25.5394i 1.25295 + 1.19468i 0.972005 + 0.234961i \(0.0754962\pi\)
0.280945 + 0.959724i \(0.409352\pi\)
\(458\) −23.9183 2.28392i −1.11763 0.106721i
\(459\) 1.41573 2.45211i 0.0660805 0.114455i
\(460\) 13.3663 + 10.6215i 0.623209 + 0.495229i
\(461\) −7.44648 −0.346817 −0.173409 0.984850i \(-0.555478\pi\)
−0.173409 + 0.984850i \(0.555478\pi\)
\(462\) 3.55284 + 16.4087i 0.165293 + 0.763403i
\(463\) 3.92940 1.15378i 0.182615 0.0536205i −0.189147 0.981949i \(-0.560572\pi\)
0.371761 + 0.928328i \(0.378754\pi\)
\(464\) 22.0194 + 4.24389i 1.02222 + 0.197018i
\(465\) −12.9834 + 6.69343i −0.602093 + 0.310400i
\(466\) −43.2550 + 8.33671i −2.00375 + 0.386191i
\(467\) 2.39269 1.88163i 0.110721 0.0870717i −0.561264 0.827637i \(-0.689685\pi\)
0.671984 + 0.740565i \(0.265442\pi\)
\(468\) 8.05331 + 2.36467i 0.372264 + 0.109307i
\(469\) −18.5190 + 6.88680i −0.855129 + 0.318003i
\(470\) −5.33459 + 37.1029i −0.246066 + 1.71143i
\(471\) 4.70536 0.449308i 0.216812 0.0207030i
\(472\) −1.97717 2.77654i −0.0910065 0.127801i
\(473\) −5.80536 4.56538i −0.266931 0.209917i
\(474\) −16.1115 8.30607i −0.740027 0.381510i
\(475\) −7.40950 2.17563i −0.339971 0.0998246i
\(476\) 14.1681 + 9.60928i 0.649394 + 0.440441i
\(477\) 7.36751 + 8.50256i 0.337335 + 0.389305i
\(478\) −1.82737 + 38.3612i −0.0835819 + 1.75460i
\(479\) −1.93148 5.58064i −0.0882515 0.254986i 0.892235 0.451571i \(-0.149136\pi\)
−0.980487 + 0.196585i \(0.937015\pi\)
\(480\) 2.97919 12.2804i 0.135981 0.560520i
\(481\) −4.50783 + 6.33036i −0.205539 + 0.288639i
\(482\) −6.15361 −0.280289
\(483\) 8.59163 9.33723i 0.390933 0.424859i
\(484\) −3.66394 −0.166543
\(485\) −7.33260 + 10.2972i −0.332956 + 0.467572i
\(486\) 0.488040 2.01173i 0.0221379 0.0912538i
\(487\) 10.9238 + 31.5623i 0.495005 + 1.43022i 0.865274 + 0.501299i \(0.167144\pi\)
−0.370269 + 0.928925i \(0.620734\pi\)
\(488\) 0.144511 3.03366i 0.00654172 0.137328i
\(489\) −14.8772 17.1692i −0.672769 0.776417i
\(490\) 21.9471 5.27928i 0.991470 0.238494i
\(491\) 23.0482 + 6.76755i 1.04015 + 0.305415i 0.756831 0.653611i \(-0.226747\pi\)
0.283318 + 0.959026i \(0.408565\pi\)
\(492\) −9.68246 4.99165i −0.436519 0.225041i
\(493\) −14.9065 11.7226i −0.671357 0.527961i
\(494\) 13.2347 + 18.5856i 0.595459 + 0.836206i
\(495\) −4.75361 + 0.453915i −0.213659 + 0.0204019i
\(496\) −4.46808 + 31.0762i −0.200623 + 1.39536i
\(497\) 13.9554 + 11.5453i 0.625987 + 0.517880i
\(498\) 33.2428 + 9.76097i 1.48965 + 0.437399i
\(499\) −19.1529 + 15.0620i −0.857403 + 0.674269i −0.946834 0.321724i \(-0.895738\pi\)
0.0894305 + 0.995993i \(0.471495\pi\)
\(500\) 26.4730 5.10225i 1.18391 0.228179i
\(501\) 3.07284 1.58416i 0.137284 0.0707750i
\(502\) −19.3503 3.72946i −0.863646 0.166454i
\(503\) 30.7864 9.03972i 1.37270 0.403061i 0.489478 0.872016i \(-0.337187\pi\)
0.883222 + 0.468955i \(0.155369\pi\)
\(504\) 1.48754 + 0.477103i 0.0662601 + 0.0212519i
\(505\) −1.33785 −0.0595337
\(506\) −17.5267 24.8788i −0.779159 1.10600i
\(507\) −0.244904 + 0.424186i −0.0108766 + 0.0188387i
\(508\) 36.0035 + 3.43791i 1.59740 + 0.152533i
\(509\) 10.2225 + 9.74712i 0.453104 + 0.432033i 0.881949 0.471344i \(-0.156231\pi\)
−0.428846 + 0.903378i \(0.641080\pi\)
\(510\) −5.97933 + 6.90051i −0.264769 + 0.305560i
\(511\) −21.8395 21.8819i −0.966123 0.967998i
\(512\) −20.3754 23.5144i −0.900472 1.03920i
\(513\) 2.35889 1.85505i 0.104147 0.0819024i
\(514\) −12.3427 + 11.7687i −0.544413 + 0.519097i
\(515\) −0.359406 7.54486i −0.0158373 0.332466i
\(516\) −5.11140 + 2.04629i −0.225017 + 0.0900831i
\(517\) 14.8022 32.4123i 0.651000 1.42549i
\(518\) −6.95376 + 9.27039i −0.305531 + 0.407318i
\(519\) 1.41157 9.81767i 0.0619609 0.430948i
\(520\) −3.00270 1.54800i −0.131677 0.0678843i
\(521\) −14.8228 + 14.1335i −0.649399 + 0.619200i −0.941430 0.337208i \(-0.890517\pi\)
0.292031 + 0.956409i \(0.405669\pi\)
\(522\) −12.8713 5.15289i −0.563362 0.225536i
\(523\) −8.04889 + 23.2557i −0.351953 + 1.01690i 0.620581 + 0.784142i \(0.286897\pi\)
−0.972534 + 0.232760i \(0.925224\pi\)
\(524\) −4.56571 2.93421i −0.199454 0.128181i
\(525\) −0.801727 6.76097i −0.0349902 0.295073i
\(526\) −21.4345 + 6.29373i −0.934588 + 0.274420i
\(527\) 15.4007 21.6273i 0.670866 0.942100i
\(528\) −5.13177 + 8.88848i −0.223332 + 0.386822i
\(529\) −7.74248 + 21.6577i −0.336630 + 0.941637i
\(530\) −18.1399 31.4193i −0.787948 1.36477i
\(531\) −2.39814 5.25119i −0.104070 0.227882i
\(532\) 10.1553 + 15.0358i 0.440288 + 0.651885i
\(533\) 11.4653 13.2317i 0.496618 0.573128i
\(534\) −0.0869822 + 1.82598i −0.00376409 + 0.0790180i
\(535\) −0.258404 + 0.0498034i −0.0111718 + 0.00215319i
\(536\) 4.09352 + 1.63880i 0.176813 + 0.0707853i
\(537\) 0.492650 + 2.03073i 0.0212594 + 0.0876325i
\(538\) −41.5323 + 26.6912i −1.79059 + 1.15074i
\(539\) −21.4315 1.06255i −0.923119 0.0457674i
\(540\) −1.47883 + 3.23819i −0.0636388 + 0.139350i
\(541\) −0.393396 + 0.0375647i −0.0169134 + 0.00161503i −0.103509 0.994628i \(-0.533007\pi\)
0.0865959 + 0.996244i \(0.472401\pi\)
\(542\) −41.4644 32.6080i −1.78105 1.40063i
\(543\) −0.106406 2.23374i −0.00456633 0.0958590i
\(544\) 5.41502 + 22.3210i 0.232167 + 0.957006i
\(545\) 3.31191 + 23.0348i 0.141866 + 0.986703i
\(546\) −10.4863 + 17.1664i −0.448773 + 0.734655i
\(547\) 20.0757 + 12.9019i 0.858374 + 0.551643i 0.894176 0.447715i \(-0.147762\pi\)
−0.0358021 + 0.999359i \(0.511399\pi\)
\(548\) 9.60969 + 1.85212i 0.410505 + 0.0791184i
\(549\) 1.21268 4.99875i 0.0517560 0.213341i
\(550\) −16.2553 1.55220i −0.693129 0.0661858i
\(551\) −10.0494 17.4061i −0.428119 0.741524i
\(552\) −2.82019 + 0.254879i −0.120035 + 0.0108484i
\(553\) 15.6004 17.1276i 0.663396 0.728341i
\(554\) −0.590152 1.29225i −0.0250732 0.0549025i
\(555\) −2.38550 2.27457i −0.101259 0.0965502i
\(556\) 15.1711 + 43.8339i 0.643396 + 1.85897i
\(557\) 13.7641 7.09589i 0.583204 0.300663i −0.141263 0.989972i \(-0.545116\pi\)
0.724467 + 0.689310i \(0.242086\pi\)
\(558\) 6.34872 18.3434i 0.268763 0.776539i
\(559\) −1.25934 8.75890i −0.0532644 0.370462i
\(560\) 12.1052 + 6.62517i 0.511537 + 0.279965i
\(561\) 7.30169 4.69251i 0.308278 0.198118i
\(562\) 45.0662 18.0418i 1.90100 0.761046i
\(563\) −21.6168 30.3565i −0.911039 1.27937i −0.959835 0.280566i \(-0.909478\pi\)
0.0487959 0.998809i \(-0.484462\pi\)
\(564\) −15.4084 21.6380i −0.648810 0.911126i
\(565\) 23.6051 9.45004i 0.993072 0.397566i
\(566\) −19.6704 + 12.6414i −0.826809 + 0.531358i
\(567\) 2.32089 + 1.27022i 0.0974682 + 0.0533444i
\(568\) −0.575243 4.00090i −0.0241367 0.167874i
\(569\) −10.6748 + 30.8428i −0.447511 + 1.29300i 0.465494 + 0.885051i \(0.345877\pi\)
−0.913005 + 0.407948i \(0.866245\pi\)
\(570\) −8.60143 + 4.43434i −0.360274 + 0.185734i
\(571\) 10.7871 + 31.1673i 0.451427 + 1.30431i 0.909613 + 0.415456i \(0.136378\pi\)
−0.458187 + 0.888856i \(0.651501\pi\)
\(572\) 18.6208 + 17.7549i 0.778576 + 0.742371i
\(573\) 8.64938 + 18.9395i 0.361333 + 0.791209i
\(574\) 17.5804 19.3015i 0.733792 0.805628i
\(575\) 6.11634 + 10.7189i 0.255069 + 0.447009i
\(576\) 5.04796 + 8.74332i 0.210332 + 0.364305i
\(577\) 24.7959 + 2.36772i 1.03227 + 0.0985695i 0.597415 0.801932i \(-0.296195\pi\)
0.434852 + 0.900502i \(0.356801\pi\)
\(578\) −4.38400 + 18.0711i −0.182350 + 0.751658i
\(579\) 10.6680 + 2.05608i 0.443345 + 0.0854478i
\(580\) 20.0576 + 12.8902i 0.832847 + 0.535238i
\(581\) −23.0835 + 37.7884i −0.957665 + 1.56773i
\(582\) −2.39066 16.6274i −0.0990960 0.689228i
\(583\) 8.13069 + 33.5151i 0.336739 + 1.38806i
\(584\) 0.328286 + 6.89158i 0.0135846 + 0.285176i
\(585\) −4.49740 3.53680i −0.185945 0.146229i
\(586\) 19.0814 1.82205i 0.788245 0.0752683i
\(587\) 2.98990 6.54696i 0.123406 0.270222i −0.837839 0.545918i \(-0.816181\pi\)
0.961245 + 0.275696i \(0.0889083\pi\)
\(588\) −8.67449 + 13.4404i −0.357730 + 0.554273i
\(589\) 23.6725 15.2134i 0.975407 0.626856i
\(590\) 4.38889 + 18.0912i 0.180688 + 0.744805i
\(591\) 5.29763 + 2.12085i 0.217915 + 0.0872401i
\(592\) −6.95638 + 1.34073i −0.285906 + 0.0551038i
\(593\) 1.45152 30.4712i 0.0596068 1.25130i −0.748847 0.662742i \(-0.769392\pi\)
0.808454 0.588559i \(-0.200305\pi\)
\(594\) 4.15550 4.79570i 0.170502 0.196770i
\(595\) −6.53167 9.67072i −0.267772 0.396461i
\(596\) −1.77680 3.89064i −0.0727804 0.159367i
\(597\) −0.219692 0.380517i −0.00899139 0.0155735i
\(598\) 5.37209 36.0652i 0.219681 1.47482i
\(599\) −10.9905 + 19.0361i −0.449061 + 0.777796i −0.998325 0.0578528i \(-0.981575\pi\)
0.549265 + 0.835649i \(0.314908\pi\)
\(600\) −0.881340 + 1.23767i −0.0359806 + 0.0505276i
\(601\) 22.8685 6.71479i 0.932824 0.273902i 0.220206 0.975453i \(-0.429327\pi\)
0.712619 + 0.701552i \(0.247509\pi\)
\(602\) −1.55386 13.1037i −0.0633304 0.534066i
\(603\) 6.28236 + 4.03743i 0.255837 + 0.164417i
\(604\) 3.26772 9.44147i 0.132962 0.384168i
\(605\) 2.31871 + 0.928270i 0.0942689 + 0.0377396i
\(606\) 1.28667 1.22684i 0.0522674 0.0498369i
\(607\) 41.0834 + 21.1800i 1.66752 + 0.859669i 0.992551 + 0.121826i \(0.0388751\pi\)
0.674973 + 0.737842i \(0.264155\pi\)
\(608\) −3.46440 + 24.0954i −0.140500 + 0.977199i
\(609\) 10.6330 14.1753i 0.430870 0.574413i
\(610\) −6.89057 + 15.0883i −0.278991 + 0.610905i
\(611\) 39.6351 15.8675i 1.60346 0.641930i
\(612\) −0.307880 6.46319i −0.0124453 0.261259i
\(613\) 24.5597 23.4176i 0.991956 0.945828i −0.00657653 0.999978i \(-0.502093\pi\)
0.998533 + 0.0541500i \(0.0172449\pi\)
\(614\) −30.3631 + 23.8778i −1.22536 + 0.963631i
\(615\) 4.86285 + 5.61202i 0.196089 + 0.226299i
\(616\) 3.38283 + 3.38940i 0.136298 + 0.136563i
\(617\) −2.19123 + 2.52882i −0.0882158 + 0.101806i −0.798141 0.602470i \(-0.794183\pi\)
0.709925 + 0.704277i \(0.248729\pi\)
\(618\) 7.26445 + 6.92663i 0.292219 + 0.278630i
\(619\) 9.72544 + 0.928667i 0.390898 + 0.0373263i 0.288655 0.957433i \(-0.406792\pi\)
0.102243 + 0.994759i \(0.467398\pi\)
\(620\) −16.6905 + 28.9087i −0.670305 + 1.16100i
\(621\) −4.77174 0.480062i −0.191483 0.0192642i
\(622\) −28.5338 −1.14410
\(623\) −2.22479 0.713565i −0.0891342 0.0285884i
\(624\) −11.7992 + 3.46457i −0.472348 + 0.138694i
\(625\) −5.41192 1.04306i −0.216477 0.0417225i
\(626\) 40.0235 20.6336i 1.59966 0.824683i
\(627\) 9.03280 1.74093i 0.360735 0.0695260i
\(628\) 8.49074 6.67719i 0.338818 0.266449i
\(629\) 5.74837 + 1.68787i 0.229203 + 0.0673000i
\(630\) −6.57381 5.43852i −0.261907 0.216676i
\(631\) −4.44995 + 30.9501i −0.177150 + 1.23210i 0.686168 + 0.727443i \(0.259291\pi\)
−0.863318 + 0.504661i \(0.831618\pi\)
\(632\) −5.14681 + 0.491461i −0.204729 + 0.0195492i
\(633\) 0.852810 + 1.19760i 0.0338962 + 0.0476005i
\(634\) −45.3049 35.6282i −1.79929 1.41498i
\(635\) −21.9136 11.2973i −0.869615 0.448318i
\(636\) 24.6685 + 7.24333i 0.978171 + 0.287217i
\(637\) −17.7058 18.6415i −0.701528 0.738604i
\(638\) −27.8316 32.1194i −1.10187 1.27162i
\(639\) 0.325734 6.83799i 0.0128858 0.270507i
\(640\) −2.38219 6.88289i −0.0941644 0.272070i
\(641\) 10.6352 43.8389i 0.420065 1.73153i −0.231406 0.972857i \(-0.574332\pi\)
0.651470 0.758674i \(-0.274152\pi\)
\(642\) 0.202848 0.284860i 0.00800577 0.0112425i
\(643\) −1.97756 −0.0779873 −0.0389936 0.999239i \(-0.512415\pi\)
−0.0389936 + 0.999239i \(0.512415\pi\)
\(644\) 4.98101 28.5653i 0.196279 1.12563i
\(645\) 3.75316 0.147780
\(646\) 10.2029 14.3279i 0.401426 0.563724i
\(647\) −0.186347 + 0.768132i −0.00732605 + 0.0301984i −0.975357 0.220631i \(-0.929188\pi\)
0.968031 + 0.250830i \(0.0807034\pi\)
\(648\) −0.193116 0.557973i −0.00758632 0.0219192i
\(649\) 0.842018 17.6761i 0.0330521 0.693849i
\(650\) −12.8124 14.7863i −0.502544 0.579967i
\(651\) 20.5321 + 13.9256i 0.804717 + 0.545786i
\(652\) −49.8130 14.6264i −1.95083 0.572815i
\(653\) −24.4564 12.6082i −0.957054 0.493396i −0.0923771 0.995724i \(-0.529447\pi\)
−0.864677 + 0.502329i \(0.832477\pi\)
\(654\) −24.3086 19.1165i −0.950541 0.747514i
\(655\) 2.14600 + 3.01364i 0.0838512 + 0.117752i
\(656\) 15.8881 1.51713i 0.620328 0.0592341i
\(657\) −1.66295 + 11.5661i −0.0648780 + 0.451237i
\(658\) 59.6713 22.1904i 2.32623 0.865072i
\(659\) −37.4444 10.9947i −1.45862 0.428291i −0.546242 0.837628i \(-0.683942\pi\)
−0.912383 + 0.409337i \(0.865760\pi\)
\(660\) −8.57780 + 6.74566i −0.333891 + 0.262574i
\(661\) 22.0325 4.24642i 0.856966 0.165167i 0.258201 0.966091i \(-0.416870\pi\)
0.598765 + 0.800925i \(0.295658\pi\)
\(662\) −30.0582 + 15.4961i −1.16824 + 0.602272i
\(663\) 10.2116 + 1.96812i 0.396584 + 0.0764353i
\(664\) 9.48181 2.78411i 0.367966 0.108044i
\(665\) −2.61736 12.0882i −0.101497 0.468761i
\(666\) 4.38007 0.169724
\(667\) −7.73074 + 31.1761i −0.299336 + 1.20714i
\(668\) 3.95019 6.84193i 0.152838 0.264722i
\(669\) −16.2295 1.54972i −0.627467 0.0599158i
\(670\) −17.4289 16.6184i −0.673336 0.642024i
\(671\) 10.3256 11.9164i 0.398615 0.460027i
\(672\) −20.7362 + 5.53470i −0.799915 + 0.213506i
\(673\) 18.6402 + 21.5119i 0.718527 + 0.829224i 0.991129 0.132903i \(-0.0424298\pi\)
−0.272602 + 0.962127i \(0.587884\pi\)
\(674\) −26.2083 + 20.6104i −1.00951 + 0.793884i
\(675\) −1.86239 + 1.77579i −0.0716835 + 0.0683501i
\(676\) 0.0532595 + 1.11805i 0.00204844 + 0.0430021i
\(677\) −22.1101 + 8.85153i −0.849759 + 0.340192i −0.755334 0.655340i \(-0.772525\pi\)
−0.0944246 + 0.995532i \(0.530101\pi\)
\(678\) −14.0361 + 30.7348i −0.539054 + 1.18036i
\(679\) 21.3156 + 2.56955i 0.818016 + 0.0986101i
\(680\) −0.370636 + 2.57783i −0.0142132 + 0.0988552i
\(681\) −22.3740 11.5346i −0.857375 0.442008i
\(682\) 43.0640 41.0615i 1.64901 1.57233i
\(683\) 4.10379 + 1.64291i 0.157027 + 0.0628642i 0.448844 0.893610i \(-0.351836\pi\)
−0.291817 + 0.956474i \(0.594260\pi\)
\(684\) 2.24297 6.48063i 0.0857620 0.247793i
\(685\) −5.61220 3.60674i −0.214431 0.137807i
\(686\) −25.7061 28.4434i −0.981464 1.08598i
\(687\) −11.1367 + 3.27003i −0.424892 + 0.124760i
\(688\) 4.67918 6.57099i 0.178392 0.250517i
\(689\) −20.6607 + 35.7853i −0.787109 + 1.36331i
\(690\) 14.8166 + 4.43222i 0.564057 + 0.168732i
\(691\) −21.3748 37.0222i −0.813135 1.40839i −0.910659 0.413158i \(-0.864426\pi\)
0.0975247 0.995233i \(-0.468908\pi\)
\(692\) −9.41593 20.6180i −0.357940 0.783780i
\(693\) 4.53937 + 6.72093i 0.172436 + 0.255307i
\(694\) 26.8900 31.0328i 1.02073 1.17799i
\(695\) 1.50452 31.5837i 0.0570696 1.19804i
\(696\) −3.88308 + 0.748402i −0.147188 + 0.0283681i
\(697\) −12.5304 5.01640i −0.474622 0.190010i
\(698\) −14.8992 61.4153i −0.563942 2.32460i
\(699\) −17.9018 + 11.5048i −0.677107 + 0.435150i
\(700\) −9.89438 12.0072i −0.373973 0.453828i
\(701\) 11.2292 24.5886i 0.424123 0.928699i −0.570121 0.821560i \(-0.693104\pi\)
0.994244 0.107139i \(-0.0341689\pi\)
\(702\) 7.56866 0.722719i 0.285661 0.0272773i
\(703\) 4.99115 + 3.92508i 0.188245 + 0.148037i
\(704\) 1.47257 + 30.9130i 0.0554994 + 1.16508i
\(705\) 4.26906 + 17.5973i 0.160782 + 0.662752i
\(706\) 7.41615 + 51.5805i 0.279111 + 1.94126i
\(707\) 1.08703 + 1.99534i 0.0408818 + 0.0750423i
\(708\) −11.0981 7.13232i −0.417092 0.268049i
\(709\) −48.2091 9.29155i −1.81053 0.348951i −0.831957 0.554840i \(-0.812779\pi\)
−0.978575 + 0.205889i \(0.933991\pi\)
\(710\) −5.20455 + 21.4534i −0.195323 + 0.805133i
\(711\) −8.71680 0.832354i −0.326906 0.0312157i
\(712\) 0.260707 + 0.451557i 0.00977040 + 0.0169228i
\(713\) −44.1139 8.73436i −1.65208 0.327104i
\(714\) 15.1500 + 3.31107i 0.566976 + 0.123914i
\(715\) −7.28584 15.9538i −0.272475 0.596637i
\(716\) 3.45604 + 3.29533i 0.129158 + 0.123152i
\(717\) 6.06786 + 17.5319i 0.226608 + 0.654742i
\(718\) −11.3731 + 5.86326i −0.424441 + 0.218815i
\(719\) 14.5663 42.0866i 0.543232 1.56957i −0.254827 0.966987i \(-0.582018\pi\)
0.798059 0.602580i \(-0.205860\pi\)
\(720\) −0.742279 5.16266i −0.0276631 0.192401i
\(721\) −10.9607 + 6.66635i −0.408199 + 0.248268i
\(722\) −17.4050 + 11.1855i −0.647745 + 0.416281i
\(723\) −2.75971 + 1.10482i −0.102635 + 0.0410887i
\(724\) −2.96432 4.16281i −0.110168 0.154709i
\(725\) 9.99720 + 14.0391i 0.371287 + 0.521399i
\(726\) −3.08124 + 1.23354i −0.114356 + 0.0457811i
\(727\) −12.0262 + 7.72874i −0.446026 + 0.286643i −0.744311 0.667834i \(-0.767222\pi\)
0.298285 + 0.954477i \(0.403585\pi\)
\(728\) 0.130982 + 5.73614i 0.00485453 + 0.212595i
\(729\) −0.142315 0.989821i −0.00527092 0.0366601i
\(730\) 12.3243 35.6087i 0.456143 1.31794i
\(731\) −6.06346 + 3.12593i −0.224265 + 0.115617i
\(732\) −3.84456 11.1081i −0.142099 0.410568i
\(733\) −10.7145 10.2162i −0.395748 0.377345i 0.465912 0.884831i \(-0.345726\pi\)
−0.861660 + 0.507486i \(0.830575\pi\)
\(734\) −3.22570 7.06329i −0.119063 0.260711i
\(735\) 8.89478 6.30799i 0.328089 0.232674i
\(736\) 30.7016 23.8932i 1.13167 0.880713i
\(737\) 11.4460 + 19.8250i 0.421618 + 0.730264i
\(738\) −9.82314 0.937996i −0.361595 0.0345281i
\(739\) −10.0438 + 41.4011i −0.369467 + 1.52296i 0.419057 + 0.907960i \(0.362361\pi\)
−0.788524 + 0.615004i \(0.789154\pi\)
\(740\) −7.39623 1.42551i −0.271891 0.0524027i
\(741\) 9.27224 + 5.95891i 0.340624 + 0.218906i
\(742\) −32.1212 + 52.5834i −1.17921 + 1.93040i
\(743\) 2.19128 + 15.2407i 0.0803902 + 0.559126i 0.989717 + 0.143042i \(0.0456886\pi\)
−0.909326 + 0.416084i \(0.863402\pi\)
\(744\) −1.30530 5.38052i −0.0478546 0.197259i
\(745\) 0.138731 + 2.91233i 0.00508273 + 0.106700i
\(746\) −45.9531 36.1379i −1.68246 1.32310i
\(747\) 16.6609 1.59092i 0.609589 0.0582087i
\(748\) 8.23965 18.0423i 0.301271 0.659692i
\(749\) 0.284236 + 0.344930i 0.0103858 + 0.0126035i
\(750\) 20.5450 13.2035i 0.750198 0.482123i
\(751\) −7.96006 32.8118i −0.290467 1.19732i −0.910755 0.412946i \(-0.864500\pi\)
0.620289 0.784373i \(-0.287015\pi\)
\(752\) 36.1315 + 14.4649i 1.31758 + 0.527480i
\(753\) −9.34761 + 1.80160i −0.340646 + 0.0656541i
\(754\) 2.42297 50.8643i 0.0882392 1.85237i
\(755\) −4.45999 + 5.14710i −0.162316 + 0.187322i
\(756\) 6.03116 0.425481i 0.219351 0.0154746i
\(757\) −12.1922 26.6972i −0.443133 0.970326i −0.991013 0.133769i \(-0.957292\pi\)
0.547879 0.836557i \(-0.315435\pi\)
\(758\) 21.6581 + 37.5129i 0.786657 + 1.36253i
\(759\) −12.3270 8.01062i −0.447440 0.290767i
\(760\) −1.38011 + 2.39042i −0.0500618 + 0.0867095i
\(761\) 1.10007 1.54483i 0.0398775 0.0560002i −0.794156 0.607714i \(-0.792087\pi\)
0.834033 + 0.551714i \(0.186026\pi\)
\(762\) 31.4351 9.23017i 1.13877 0.334374i
\(763\) 31.6642 23.6557i 1.14632 0.856392i
\(764\) 40.0276 + 25.7242i 1.44815 + 0.930668i
\(765\) −1.44263 + 4.16820i −0.0521583 + 0.150702i
\(766\) −11.6653 4.67008i −0.421484 0.168737i
\(767\) 15.3453 14.6317i 0.554085 0.528319i
\(768\) −9.34441 4.81738i −0.337187 0.173832i
\(769\) −1.91810 + 13.3407i −0.0691684 + 0.481077i 0.925566 + 0.378587i \(0.123590\pi\)
−0.994734 + 0.102490i \(0.967319\pi\)
\(770\) −10.2720 24.0519i −0.370179 0.866770i
\(771\) −3.42236 + 7.49393i −0.123253 + 0.269887i
\(772\) 23.0490 9.22741i 0.829550 0.332102i
\(773\) −0.277788