Properties

Label 300.2.r.a.59.9
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 59.9
Character \(\chi\) \(=\) 300.59
Dual form 300.2.r.a.239.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.28571 - 0.589029i) q^{2} +(-0.760326 - 1.55625i) q^{3} +(1.30609 + 1.51464i) q^{4} +(-1.70605 + 1.44547i) q^{5} +(0.0608822 + 2.44873i) q^{6} +1.06519 q^{7} +(-0.787085 - 2.71671i) q^{8} +(-1.84381 + 2.36651i) q^{9} +O(q^{10})\) \(q+(-1.28571 - 0.589029i) q^{2} +(-0.760326 - 1.55625i) q^{3} +(1.30609 + 1.51464i) q^{4} +(-1.70605 + 1.44547i) q^{5} +(0.0608822 + 2.44873i) q^{6} +1.06519 q^{7} +(-0.787085 - 2.71671i) q^{8} +(-1.84381 + 2.36651i) q^{9} +(3.04491 - 0.853547i) q^{10} +(3.04382 + 2.21147i) q^{11} +(1.36410 - 3.18422i) q^{12} +(0.659995 + 0.908406i) q^{13} +(-1.36952 - 0.627427i) q^{14} +(3.54667 + 1.55600i) q^{15} +(-0.588257 + 3.95651i) q^{16} +(-0.888219 + 2.73366i) q^{17} +(3.76454 - 1.95658i) q^{18} +(4.04621 + 1.31469i) q^{19} +(-4.41762 - 0.696126i) q^{20} +(-0.809891 - 1.65770i) q^{21} +(-2.61085 - 4.63620i) q^{22} +(4.00089 - 5.50675i) q^{23} +(-3.62943 + 3.29048i) q^{24} +(0.821205 - 4.93210i) q^{25} +(-0.313484 - 1.55670i) q^{26} +(5.08477 + 1.07011i) q^{27} +(1.39123 + 1.61338i) q^{28} +(2.10841 - 0.685063i) q^{29} +(-3.64345 - 4.08965i) q^{30} +(-0.361234 - 0.117372i) q^{31} +(3.08682 - 4.74041i) q^{32} +(1.12729 - 6.41838i) q^{33} +(2.75219 - 2.99150i) q^{34} +(-1.81727 + 1.53970i) q^{35} +(-5.99259 + 0.298169i) q^{36} +(6.98690 + 9.61665i) q^{37} +(-4.42785 - 4.07365i) q^{38} +(0.911892 - 1.71780i) q^{39} +(5.26974 + 3.49712i) q^{40} +(2.81265 + 3.87128i) q^{41} +(0.0648511 + 2.60837i) q^{42} -9.24777 q^{43} +(0.625935 + 7.49867i) q^{44} +(-0.275099 - 6.70256i) q^{45} +(-8.38761 + 4.72344i) q^{46} +(7.50958 - 2.44001i) q^{47} +(6.60457 - 2.09276i) q^{48} -5.86537 q^{49} +(-3.96098 + 5.85753i) q^{50} +(4.92958 - 0.696181i) q^{51} +(-0.513893 + 2.18611i) q^{52} +(1.84297 + 5.67207i) q^{53} +(-5.90720 - 4.37092i) q^{54} +(-8.38953 + 0.626900i) q^{55} +(-0.838395 - 2.89381i) q^{56} +(-1.03045 - 7.29650i) q^{57} +(-3.11432 - 0.361121i) q^{58} +(-5.06153 + 3.67742i) q^{59} +(2.27549 + 7.40420i) q^{60} +(2.73832 + 1.98950i) q^{61} +(0.395306 + 0.363683i) q^{62} +(-1.96401 + 2.52078i) q^{63} +(-6.76099 + 4.27656i) q^{64} +(-2.43906 - 0.595778i) q^{65} +(-5.22998 + 7.58815i) q^{66} +(-2.81133 + 8.65237i) q^{67} +(-5.30060 + 2.22507i) q^{68} +(-11.6118 - 2.03945i) q^{69} +(3.24340 - 0.909189i) q^{70} +(1.55922 + 4.79878i) q^{71} +(7.88035 + 3.14645i) q^{72} +(-0.951706 + 1.30991i) q^{73} +(-3.31863 - 16.4797i) q^{74} +(-8.29995 + 2.47200i) q^{75} +(3.29343 + 7.84565i) q^{76} +(3.24225 + 2.35563i) q^{77} +(-2.18426 + 1.67146i) q^{78} +(13.0050 - 4.22558i) q^{79} +(-4.71544 - 7.60031i) q^{80} +(-2.20073 - 8.72679i) q^{81} +(-1.33595 - 6.63407i) q^{82} +(-14.7786 - 4.80187i) q^{83} +(1.45302 - 3.39180i) q^{84} +(-2.43609 - 5.94765i) q^{85} +(11.8899 + 5.44720i) q^{86} +(-2.66920 - 2.76033i) q^{87} +(3.61216 - 10.0098i) q^{88} +(4.85548 - 6.68300i) q^{89} +(-3.59430 + 8.77958i) q^{90} +(0.703020 + 0.967625i) q^{91} +(13.5663 - 1.13241i) q^{92} +(0.0919955 + 0.651410i) q^{93} +(-11.0924 - 1.28622i) q^{94} +(-8.80339 + 3.60576i) q^{95} +(-9.72425 - 1.19960i) q^{96} +(-11.0204 + 3.58074i) q^{97} +(7.54115 + 3.45487i) q^{98} +(-10.8457 + 3.12571i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.28571 0.589029i −0.909133 0.416506i
\(3\) −0.760326 1.55625i −0.438974 0.898500i
\(4\) 1.30609 + 1.51464i 0.653045 + 0.757319i
\(5\) −1.70605 + 1.44547i −0.762968 + 0.646436i
\(6\) 0.0608822 + 2.44873i 0.0248551 + 0.999691i
\(7\) 1.06519 0.402604 0.201302 0.979529i \(-0.435483\pi\)
0.201302 + 0.979529i \(0.435483\pi\)
\(8\) −0.787085 2.71671i −0.278277 0.960501i
\(9\) −1.84381 + 2.36651i −0.614603 + 0.788836i
\(10\) 3.04491 0.853547i 0.962884 0.269915i
\(11\) 3.04382 + 2.21147i 0.917748 + 0.666783i 0.942962 0.332899i \(-0.108027\pi\)
−0.0252148 + 0.999682i \(0.508027\pi\)
\(12\) 1.36410 3.18422i 0.393781 0.919204i
\(13\) 0.659995 + 0.908406i 0.183050 + 0.251946i 0.890674 0.454643i \(-0.150233\pi\)
−0.707624 + 0.706589i \(0.750233\pi\)
\(14\) −1.36952 0.627427i −0.366020 0.167687i
\(15\) 3.54667 + 1.55600i 0.915746 + 0.401758i
\(16\) −0.588257 + 3.95651i −0.147064 + 0.989127i
\(17\) −0.888219 + 2.73366i −0.215425 + 0.663010i 0.783698 + 0.621142i \(0.213331\pi\)
−0.999123 + 0.0418678i \(0.986669\pi\)
\(18\) 3.76454 1.95658i 0.887311 0.461171i
\(19\) 4.04621 + 1.31469i 0.928264 + 0.301611i 0.733853 0.679309i \(-0.237720\pi\)
0.194412 + 0.980920i \(0.437720\pi\)
\(20\) −4.41762 0.696126i −0.987811 0.155659i
\(21\) −0.809891 1.65770i −0.176733 0.361739i
\(22\) −2.61085 4.63620i −0.556635 0.988442i
\(23\) 4.00089 5.50675i 0.834243 1.14824i −0.152875 0.988246i \(-0.548853\pi\)
0.987118 0.159992i \(-0.0511468\pi\)
\(24\) −3.62943 + 3.29048i −0.740854 + 0.671667i
\(25\) 0.821205 4.93210i 0.164241 0.986420i
\(26\) −0.313484 1.55670i −0.0614793 0.305294i
\(27\) 5.08477 + 1.07011i 0.978564 + 0.205942i
\(28\) 1.39123 + 1.61338i 0.262918 + 0.304900i
\(29\) 2.10841 0.685063i 0.391521 0.127213i −0.106639 0.994298i \(-0.534009\pi\)
0.498161 + 0.867085i \(0.334009\pi\)
\(30\) −3.64345 4.08965i −0.665200 0.746665i
\(31\) −0.361234 0.117372i −0.0648795 0.0210806i 0.276397 0.961043i \(-0.410859\pi\)
−0.341277 + 0.939963i \(0.610859\pi\)
\(32\) 3.08682 4.74041i 0.545679 0.837995i
\(33\) 1.12729 6.41838i 0.196237 1.11730i
\(34\) 2.75219 2.99150i 0.471997 0.513038i
\(35\) −1.81727 + 1.53970i −0.307174 + 0.260258i
\(36\) −5.99259 + 0.298169i −0.998764 + 0.0496948i
\(37\) 6.98690 + 9.61665i 1.14864 + 1.58097i 0.746496 + 0.665390i \(0.231735\pi\)
0.402144 + 0.915576i \(0.368265\pi\)
\(38\) −4.42785 4.07365i −0.718293 0.660833i
\(39\) 0.911892 1.71780i 0.146020 0.275068i
\(40\) 5.26974 + 3.49712i 0.833219 + 0.552944i
\(41\) 2.81265 + 3.87128i 0.439262 + 0.604592i 0.970048 0.242914i \(-0.0781032\pi\)
−0.530786 + 0.847506i \(0.678103\pi\)
\(42\) 0.0648511 + 2.60837i 0.0100067 + 0.402479i
\(43\) −9.24777 −1.41027 −0.705136 0.709072i \(-0.749114\pi\)
−0.705136 + 0.709072i \(0.749114\pi\)
\(44\) 0.625935 + 7.49867i 0.0943633 + 1.13047i
\(45\) −0.275099 6.70256i −0.0410093 0.999159i
\(46\) −8.38761 + 4.72344i −1.23669 + 0.696433i
\(47\) 7.50958 2.44001i 1.09539 0.355912i 0.295060 0.955479i \(-0.404660\pi\)
0.800325 + 0.599566i \(0.204660\pi\)
\(48\) 6.60457 2.09276i 0.953288 0.302064i
\(49\) −5.86537 −0.837910
\(50\) −3.96098 + 5.85753i −0.560167 + 0.828380i
\(51\) 4.92958 0.696181i 0.690280 0.0974849i
\(52\) −0.513893 + 2.18611i −0.0712641 + 0.303159i
\(53\) 1.84297 + 5.67207i 0.253151 + 0.779118i 0.994188 + 0.107655i \(0.0343341\pi\)
−0.741037 + 0.671464i \(0.765666\pi\)
\(54\) −5.90720 4.37092i −0.803869 0.594807i
\(55\) −8.38953 + 0.626900i −1.13124 + 0.0845311i
\(56\) −0.838395 2.89381i −0.112035 0.386701i
\(57\) −1.03045 7.29650i −0.136486 0.966445i
\(58\) −3.11432 0.361121i −0.408930 0.0474176i
\(59\) −5.06153 + 3.67742i −0.658956 + 0.478759i −0.866310 0.499507i \(-0.833515\pi\)
0.207354 + 0.978266i \(0.433515\pi\)
\(60\) 2.27549 + 7.40420i 0.293764 + 0.955878i
\(61\) 2.73832 + 1.98950i 0.350605 + 0.254730i 0.749123 0.662431i \(-0.230475\pi\)
−0.398518 + 0.917161i \(0.630475\pi\)
\(62\) 0.395306 + 0.363683i 0.0502039 + 0.0461878i
\(63\) −1.96401 + 2.52078i −0.247442 + 0.317589i
\(64\) −6.76099 + 4.27656i −0.845124 + 0.534570i
\(65\) −2.43906 0.595778i −0.302528 0.0738971i
\(66\) −5.22998 + 7.58815i −0.643766 + 0.934037i
\(67\) −2.81133 + 8.65237i −0.343458 + 1.05706i 0.618946 + 0.785434i \(0.287560\pi\)
−0.962404 + 0.271622i \(0.912440\pi\)
\(68\) −5.30060 + 2.22507i −0.642792 + 0.269830i
\(69\) −11.6118 2.03945i −1.39790 0.245521i
\(70\) 3.24340 0.909189i 0.387661 0.108669i
\(71\) 1.55922 + 4.79878i 0.185045 + 0.569511i 0.999949 0.0100854i \(-0.00321033\pi\)
−0.814904 + 0.579596i \(0.803210\pi\)
\(72\) 7.88035 + 3.14645i 0.928708 + 0.370813i
\(73\) −0.951706 + 1.30991i −0.111389 + 0.153313i −0.861071 0.508484i \(-0.830206\pi\)
0.749683 + 0.661797i \(0.230206\pi\)
\(74\) −3.31863 16.4797i −0.385783 1.91572i
\(75\) −8.29995 + 2.47200i −0.958396 + 0.285443i
\(76\) 3.29343 + 7.84565i 0.377782 + 0.899958i
\(77\) 3.24225 + 2.35563i 0.369489 + 0.268449i
\(78\) −2.18426 + 1.67146i −0.247319 + 0.189255i
\(79\) 13.0050 4.22558i 1.46317 0.475414i 0.534137 0.845398i \(-0.320637\pi\)
0.929038 + 0.369984i \(0.120637\pi\)
\(80\) −4.71544 7.60031i −0.527202 0.849740i
\(81\) −2.20073 8.72679i −0.244525 0.969643i
\(82\) −1.33595 6.63407i −0.147531 0.732610i
\(83\) −14.7786 4.80187i −1.62217 0.527074i −0.649714 0.760179i \(-0.725111\pi\)
−0.972452 + 0.233105i \(0.925111\pi\)
\(84\) 1.45302 3.39180i 0.158538 0.370075i
\(85\) −2.43609 5.94765i −0.264231 0.645114i
\(86\) 11.8899 + 5.44720i 1.28212 + 0.587387i
\(87\) −2.66920 2.76033i −0.286169 0.295939i
\(88\) 3.61216 10.0098i 0.385058 1.06705i
\(89\) 4.85548 6.68300i 0.514680 0.708396i −0.470020 0.882656i \(-0.655753\pi\)
0.984700 + 0.174259i \(0.0557532\pi\)
\(90\) −3.59430 + 8.77958i −0.378873 + 0.925449i
\(91\) 0.703020 + 0.967625i 0.0736966 + 0.101435i
\(92\) 13.5663 1.13241i 1.41438 0.118062i
\(93\) 0.0919955 + 0.651410i 0.00953948 + 0.0675480i
\(94\) −11.0924 1.28622i −1.14409 0.132663i
\(95\) −8.80339 + 3.60576i −0.903209 + 0.369944i
\(96\) −9.72425 1.19960i −0.992477 0.122434i
\(97\) −11.0204 + 3.58074i −1.11895 + 0.363569i −0.809367 0.587303i \(-0.800190\pi\)
−0.309584 + 0.950872i \(0.600190\pi\)
\(98\) 7.54115 + 3.45487i 0.761772 + 0.348995i
\(99\) −10.8457 + 3.12571i −1.09003 + 0.314146i
\(100\) 8.54292 5.19794i 0.854292 0.519794i
\(101\) 10.1196i 1.00693i 0.864015 + 0.503467i \(0.167942\pi\)
−0.864015 + 0.503467i \(0.832058\pi\)
\(102\) −6.74808 2.00858i −0.668159 0.198879i
\(103\) −4.28316 13.1822i −0.422032 1.29888i −0.905808 0.423689i \(-0.860735\pi\)
0.483776 0.875192i \(-0.339265\pi\)
\(104\) 1.94840 2.50801i 0.191056 0.245930i
\(105\) 3.77787 + 1.65744i 0.368683 + 0.161749i
\(106\) 0.971494 8.37818i 0.0943599 0.813761i
\(107\) 3.63139i 0.351060i 0.984474 + 0.175530i \(0.0561638\pi\)
−0.984474 + 0.175530i \(0.943836\pi\)
\(108\) 5.02034 + 9.09924i 0.483083 + 0.875575i
\(109\) 8.30940 6.03713i 0.795896 0.578252i −0.113811 0.993502i \(-0.536306\pi\)
0.909707 + 0.415250i \(0.136306\pi\)
\(110\) 11.1558 + 4.13567i 1.06366 + 0.394320i
\(111\) 9.65356 18.1851i 0.916275 1.72606i
\(112\) −0.626606 + 4.21443i −0.0592087 + 0.398226i
\(113\) −7.25641 + 5.27209i −0.682625 + 0.495956i −0.874228 0.485516i \(-0.838632\pi\)
0.191602 + 0.981473i \(0.438632\pi\)
\(114\) −2.97299 + 9.98813i −0.278446 + 0.935474i
\(115\) 1.13416 + 15.1780i 0.105761 + 1.41535i
\(116\) 3.79139 + 2.29872i 0.352022 + 0.213431i
\(117\) −3.36666 0.113043i −0.311248 0.0104508i
\(118\) 8.67376 1.74670i 0.798484 0.160797i
\(119\) −0.946122 + 2.91186i −0.0867309 + 0.266930i
\(120\) 1.43567 10.8600i 0.131058 0.991375i
\(121\) 0.975089 + 3.00102i 0.0886445 + 0.272820i
\(122\) −2.34880 4.17087i −0.212650 0.377613i
\(123\) 3.88614 7.32061i 0.350401 0.660077i
\(124\) −0.294028 0.700437i −0.0264045 0.0629011i
\(125\) 5.72821 + 9.60144i 0.512347 + 0.858779i
\(126\) 4.00995 2.08413i 0.357235 0.185669i
\(127\) 7.53088 + 5.47151i 0.668258 + 0.485518i 0.869442 0.494036i \(-0.164479\pi\)
−0.201184 + 0.979554i \(0.564479\pi\)
\(128\) 11.2117 1.51598i 0.990982 0.133995i
\(129\) 7.03131 + 14.3918i 0.619073 + 1.26713i
\(130\) 2.78499 + 2.20267i 0.244260 + 0.193187i
\(131\) 2.27835 7.01204i 0.199060 0.612645i −0.800845 0.598872i \(-0.795616\pi\)
0.999905 0.0137729i \(-0.00438418\pi\)
\(132\) 11.1939 6.67554i 0.974301 0.581031i
\(133\) 4.30998 + 1.40040i 0.373723 + 0.121430i
\(134\) 8.71104 9.46847i 0.752520 0.817952i
\(135\) −10.2217 + 5.52425i −0.879742 + 0.475452i
\(136\) 8.12565 + 0.261411i 0.696769 + 0.0224158i
\(137\) 6.81997 4.95500i 0.582669 0.423334i −0.257016 0.966407i \(-0.582739\pi\)
0.839685 + 0.543073i \(0.182739\pi\)
\(138\) 13.7282 + 9.46185i 1.16862 + 0.805446i
\(139\) 2.56193 3.52620i 0.217300 0.299088i −0.686425 0.727200i \(-0.740821\pi\)
0.903726 + 0.428112i \(0.140821\pi\)
\(140\) −4.70561 0.741506i −0.397697 0.0626687i
\(141\) −9.50699 9.83156i −0.800633 0.827967i
\(142\) 0.821921 7.08826i 0.0689741 0.594833i
\(143\) 4.22459i 0.353278i
\(144\) −8.27848 8.68717i −0.689873 0.723930i
\(145\) −2.60680 + 4.21640i −0.216483 + 0.350153i
\(146\) 1.99519 1.12358i 0.165123 0.0929882i
\(147\) 4.45959 + 9.12797i 0.367821 + 0.752862i
\(148\) −5.44021 + 23.1428i −0.447183 + 1.90233i
\(149\) 0.371677i 0.0304490i −0.999884 0.0152245i \(-0.995154\pi\)
0.999884 0.0152245i \(-0.00484629\pi\)
\(150\) 12.1274 + 1.71063i 0.990198 + 0.139673i
\(151\) 21.6111i 1.75868i −0.476192 0.879341i \(-0.657983\pi\)
0.476192 0.879341i \(-0.342017\pi\)
\(152\) 0.386926 12.0271i 0.0313838 0.975530i
\(153\) −4.83152 7.14233i −0.390605 0.577423i
\(154\) −2.78105 4.93843i −0.224104 0.397950i
\(155\) 0.785940 0.321912i 0.0631283 0.0258566i
\(156\) 3.79286 0.862415i 0.303672 0.0690484i
\(157\) 3.80885i 0.303980i −0.988382 0.151990i \(-0.951432\pi\)
0.988382 0.151990i \(-0.0485681\pi\)
\(158\) −19.2096 2.22745i −1.52823 0.177207i
\(159\) 7.42588 7.18073i 0.588911 0.569469i
\(160\) 1.58588 + 12.5493i 0.125374 + 0.992109i
\(161\) 4.26171 5.86574i 0.335870 0.462285i
\(162\) −2.31083 + 12.5164i −0.181556 + 0.983381i
\(163\) 7.51643 5.46100i 0.588732 0.427739i −0.253130 0.967432i \(-0.581460\pi\)
0.841862 + 0.539694i \(0.181460\pi\)
\(164\) −2.19001 + 9.31639i −0.171011 + 0.727488i
\(165\) 7.35439 + 12.5795i 0.572538 + 0.979316i
\(166\) 16.1726 + 14.8788i 1.25523 + 1.15482i
\(167\) −18.1592 5.90028i −1.40520 0.456578i −0.494332 0.869273i \(-0.664587\pi\)
−0.910869 + 0.412696i \(0.864587\pi\)
\(168\) −3.86603 + 3.50499i −0.298271 + 0.270416i
\(169\) 3.62761 11.1646i 0.279047 0.858819i
\(170\) −0.371241 + 9.08187i −0.0284728 + 0.696548i
\(171\) −10.5717 + 7.15135i −0.808436 + 0.546877i
\(172\) −12.0784 14.0070i −0.920971 1.06803i
\(173\) 9.69853 + 7.04639i 0.737365 + 0.535727i 0.891885 0.452263i \(-0.149383\pi\)
−0.154520 + 0.987990i \(0.549383\pi\)
\(174\) 1.80590 + 5.12122i 0.136905 + 0.388238i
\(175\) 0.874739 5.25362i 0.0661241 0.397137i
\(176\) −10.5402 + 10.7420i −0.794501 + 0.809709i
\(177\) 9.57139 + 5.08096i 0.719430 + 0.381908i
\(178\) −10.1792 + 5.73237i −0.762964 + 0.429659i
\(179\) −0.944989 2.90838i −0.0706318 0.217382i 0.909509 0.415684i \(-0.136458\pi\)
−0.980141 + 0.198301i \(0.936458\pi\)
\(180\) 9.79265 9.17082i 0.729901 0.683553i
\(181\) −2.51625 + 7.74423i −0.187032 + 0.575624i −0.999977 0.00671533i \(-0.997862\pi\)
0.812946 + 0.582339i \(0.197862\pi\)
\(182\) −0.333920 1.65818i −0.0247518 0.122913i
\(183\) 1.01415 5.77417i 0.0749679 0.426839i
\(184\) −18.1093 6.53496i −1.33503 0.481764i
\(185\) −25.8206 6.30708i −1.89837 0.463705i
\(186\) 0.265420 0.891711i 0.0194615 0.0653834i
\(187\) −8.74898 + 6.35651i −0.639789 + 0.464834i
\(188\) 13.5039 + 8.18743i 0.984875 + 0.597129i
\(189\) 5.41624 + 1.13987i 0.393974 + 0.0829131i
\(190\) 13.4425 + 0.549490i 0.975221 + 0.0398642i
\(191\) −14.4015 + 10.4633i −1.04205 + 0.757096i −0.970685 0.240354i \(-0.922736\pi\)
−0.0713681 + 0.997450i \(0.522736\pi\)
\(192\) 11.7959 + 7.27020i 0.851299 + 0.524682i
\(193\) 13.9013i 1.00064i −0.865841 0.500318i \(-0.833216\pi\)
0.865841 0.500318i \(-0.166784\pi\)
\(194\) 16.2782 + 1.88754i 1.16870 + 0.135517i
\(195\) 0.927304 + 4.24877i 0.0664056 + 0.304261i
\(196\) −7.66070 8.88391i −0.547193 0.634565i
\(197\) −6.96834 21.4464i −0.496474 1.52799i −0.814647 0.579957i \(-0.803069\pi\)
0.318173 0.948033i \(-0.396931\pi\)
\(198\) 15.7855 + 2.36967i 1.12183 + 0.168405i
\(199\) 2.15680i 0.152892i −0.997074 0.0764458i \(-0.975643\pi\)
0.997074 0.0764458i \(-0.0243572\pi\)
\(200\) −14.0454 + 1.65101i −0.993162 + 0.116744i
\(201\) 15.6028 2.20350i 1.10053 0.155423i
\(202\) 5.96071 13.0108i 0.419394 0.915436i
\(203\) 2.24585 0.729722i 0.157628 0.0512164i
\(204\) 7.49294 + 6.55726i 0.524611 + 0.459100i
\(205\) −10.3944 2.53898i −0.725973 0.177330i
\(206\) −2.25781 + 19.4714i −0.157309 + 1.35663i
\(207\) 5.65490 + 19.6215i 0.393043 + 1.36379i
\(208\) −3.98236 + 2.07690i −0.276127 + 0.144007i
\(209\) 9.40855 + 12.9498i 0.650803 + 0.895754i
\(210\) −3.88097 4.35626i −0.267812 0.300610i
\(211\) 9.99024 13.7504i 0.687756 0.946615i −0.312238 0.950004i \(-0.601079\pi\)
0.999994 + 0.00338856i \(0.00107862\pi\)
\(212\) −6.18405 + 10.1997i −0.424722 + 0.700515i
\(213\) 6.28258 6.07517i 0.430475 0.416264i
\(214\) 2.13899 4.66891i 0.146219 0.319160i
\(215\) 15.7771 13.3674i 1.07599 0.911650i
\(216\) −1.09498 14.6561i −0.0745038 0.997221i
\(217\) −0.384782 0.125023i −0.0261207 0.00848714i
\(218\) −14.2395 + 2.86751i −0.964421 + 0.194212i
\(219\) 2.76215 + 0.485131i 0.186649 + 0.0327821i
\(220\) −11.9070 11.8883i −0.802771 0.801510i
\(221\) −3.06949 + 0.997338i −0.206476 + 0.0670882i
\(222\) −23.1232 + 17.6945i −1.55193 + 1.18758i
\(223\) 1.28119 + 0.930840i 0.0857949 + 0.0623336i 0.629856 0.776712i \(-0.283114\pi\)
−0.544061 + 0.839046i \(0.683114\pi\)
\(224\) 3.28805 5.04944i 0.219692 0.337380i
\(225\) 10.1577 + 11.0372i 0.677181 + 0.735816i
\(226\) 12.4350 2.50413i 0.827166 0.166572i
\(227\) 2.98415 4.10733i 0.198065 0.272613i −0.698419 0.715689i \(-0.746113\pi\)
0.896484 + 0.443076i \(0.146113\pi\)
\(228\) 9.70570 11.0906i 0.642775 0.734496i
\(229\) −4.27109 13.1451i −0.282242 0.868650i −0.987212 0.159414i \(-0.949040\pi\)
0.704970 0.709237i \(-0.250960\pi\)
\(230\) 7.48207 20.1825i 0.493353 1.33079i
\(231\) 1.20078 6.83679i 0.0790056 0.449828i
\(232\) −3.52061 5.18872i −0.231139 0.340656i
\(233\) 2.07923 6.39921i 0.136215 0.419226i −0.859562 0.511031i \(-0.829264\pi\)
0.995777 + 0.0918049i \(0.0292636\pi\)
\(234\) 4.26195 + 2.12840i 0.278613 + 0.139138i
\(235\) −9.28474 + 15.0177i −0.605670 + 0.979646i
\(236\) −12.1808 2.86335i −0.792901 0.186388i
\(237\) −16.4641 17.0262i −1.06946 1.10597i
\(238\) 2.93161 3.18651i 0.190028 0.206551i
\(239\) 11.6229 + 8.44456i 0.751825 + 0.546233i 0.896392 0.443262i \(-0.146179\pi\)
−0.144567 + 0.989495i \(0.546179\pi\)
\(240\) −8.24269 + 13.1171i −0.532063 + 0.846705i
\(241\) −19.7088 + 14.3193i −1.26955 + 0.922385i −0.999185 0.0403719i \(-0.987146\pi\)
−0.270369 + 0.962757i \(0.587146\pi\)
\(242\) 0.514005 4.43279i 0.0330415 0.284950i
\(243\) −11.9078 + 10.0601i −0.763884 + 0.645354i
\(244\) 0.563110 + 6.74603i 0.0360494 + 0.431870i
\(245\) 10.0066 8.47825i 0.639299 0.541655i
\(246\) −9.30849 + 7.12312i −0.593488 + 0.454154i
\(247\) 1.47621 + 4.54329i 0.0939287 + 0.289083i
\(248\) −0.0345436 + 1.07375i −0.00219352 + 0.0681830i
\(249\) 3.76368 + 26.6502i 0.238513 + 1.68889i
\(250\) −1.70929 15.7187i −0.108105 0.994140i
\(251\) 14.4153 0.909884 0.454942 0.890521i \(-0.349660\pi\)
0.454942 + 0.890521i \(0.349660\pi\)
\(252\) −6.38324 + 0.317606i −0.402106 + 0.0200073i
\(253\) 24.3560 7.91375i 1.53125 0.497533i
\(254\) −6.45964 11.4707i −0.405314 0.719734i
\(255\) −7.40380 + 8.31331i −0.463644 + 0.520600i
\(256\) −15.3079 4.65489i −0.956744 0.290931i
\(257\) −26.6349 −1.66144 −0.830718 0.556693i \(-0.812070\pi\)
−0.830718 + 0.556693i \(0.812070\pi\)
\(258\) −0.563025 22.6453i −0.0350524 1.40984i
\(259\) 7.44238 + 10.2436i 0.462447 + 0.636503i
\(260\) −2.28325 4.47244i −0.141601 0.277369i
\(261\) −2.26629 + 6.25269i −0.140280 + 0.387032i
\(262\) −7.05959 + 7.67342i −0.436143 + 0.474066i
\(263\) 8.91474 + 12.2701i 0.549707 + 0.756606i 0.989972 0.141261i \(-0.0451158\pi\)
−0.440266 + 0.897867i \(0.645116\pi\)
\(264\) −18.3241 + 1.98928i −1.12777 + 0.122432i
\(265\) −11.3430 7.01286i −0.696796 0.430797i
\(266\) −4.71650 4.33921i −0.289187 0.266054i
\(267\) −14.0921 2.47508i −0.862425 0.151472i
\(268\) −16.7771 + 7.04264i −1.02482 + 0.430198i
\(269\) −15.2945 4.96949i −0.932523 0.302995i −0.196929 0.980418i \(-0.563097\pi\)
−0.735594 + 0.677423i \(0.763097\pi\)
\(270\) 16.3960 1.08171i 0.997831 0.0658308i
\(271\) −13.2406 + 4.30213i −0.804308 + 0.261336i −0.682185 0.731179i \(-0.738970\pi\)
−0.122123 + 0.992515i \(0.538970\pi\)
\(272\) −10.2932 5.12234i −0.624119 0.310588i
\(273\) 0.971339 1.82978i 0.0587881 0.110744i
\(274\) −11.6871 + 2.35352i −0.706045 + 0.142181i
\(275\) 13.4068 13.1964i 0.808460 0.795772i
\(276\) −12.0771 20.2515i −0.726956 1.21899i
\(277\) −9.08309 + 12.5018i −0.545750 + 0.751161i −0.989428 0.145026i \(-0.953673\pi\)
0.443678 + 0.896186i \(0.353673\pi\)
\(278\) −5.37093 + 3.02461i −0.322127 + 0.181404i
\(279\) 0.943808 0.638451i 0.0565043 0.0382231i
\(280\) 5.61327 + 3.72510i 0.335457 + 0.222617i
\(281\) 22.8613 + 7.42807i 1.36379 + 0.443122i 0.897306 0.441409i \(-0.145521\pi\)
0.466482 + 0.884530i \(0.345521\pi\)
\(282\) 6.43214 + 18.2404i 0.383028 + 1.08620i
\(283\) −7.43523 + 22.8833i −0.441978 + 1.36027i 0.443785 + 0.896133i \(0.353635\pi\)
−0.885764 + 0.464137i \(0.846365\pi\)
\(284\) −5.23194 + 8.62930i −0.310458 + 0.512054i
\(285\) 12.3049 + 10.9587i 0.728880 + 0.649137i
\(286\) 2.48840 5.43158i 0.147142 0.321176i
\(287\) 2.99601 + 4.12365i 0.176849 + 0.243411i
\(288\) 5.52671 + 16.0454i 0.325665 + 0.945485i
\(289\) 7.06934 + 5.13617i 0.415843 + 0.302128i
\(290\) 5.83517 3.88558i 0.342653 0.228169i
\(291\) 13.9516 + 14.4279i 0.817857 + 0.845780i
\(292\) −3.22705 + 0.269371i −0.188849 + 0.0157638i
\(293\) −10.1696 −0.594114 −0.297057 0.954860i \(-0.596005\pi\)
−0.297057 + 0.954860i \(0.596005\pi\)
\(294\) −0.357097 14.3627i −0.0208263 0.837651i
\(295\) 3.31961 13.5902i 0.193275 0.791251i
\(296\) 20.6263 26.5505i 1.19888 1.54322i
\(297\) 13.1106 + 14.5020i 0.760756 + 0.841493i
\(298\) −0.218929 + 0.477868i −0.0126822 + 0.0276822i
\(299\) 7.64294 0.442002
\(300\) −14.5847 9.34276i −0.842047 0.539405i
\(301\) −9.85063 −0.567781
\(302\) −12.7295 + 27.7855i −0.732502 + 1.59888i
\(303\) 15.7485 7.69416i 0.904729 0.442018i
\(304\) −7.58181 + 15.2355i −0.434847 + 0.873815i
\(305\) −7.54748 + 0.563978i −0.432167 + 0.0322933i
\(306\) 2.00489 + 12.0288i 0.114612 + 0.687644i
\(307\) −3.03270 −0.173086 −0.0865428 0.996248i \(-0.527582\pi\)
−0.0865428 + 0.996248i \(0.527582\pi\)
\(308\) 0.666740 + 7.98750i 0.0379910 + 0.455130i
\(309\) −17.2582 + 16.6884i −0.981783 + 0.949371i
\(310\) −1.20011 0.0490568i −0.0681614 0.00278624i
\(311\) −22.9523 16.6759i −1.30151 0.945601i −0.301539 0.953454i \(-0.597500\pi\)
−0.999969 + 0.00785286i \(0.997500\pi\)
\(312\) −5.38450 1.12529i −0.304837 0.0637070i
\(313\) 0.692098 + 0.952591i 0.0391197 + 0.0538436i 0.828129 0.560538i \(-0.189406\pi\)
−0.789009 + 0.614382i \(0.789406\pi\)
\(314\) −2.24352 + 4.89707i −0.126609 + 0.276358i
\(315\) −0.293033 7.13950i −0.0165105 0.402265i
\(316\) 23.3859 + 14.1789i 1.31556 + 0.797623i
\(317\) 0.153474 0.472345i 0.00861997 0.0265295i −0.946654 0.322252i \(-0.895560\pi\)
0.955274 + 0.295722i \(0.0955603\pi\)
\(318\) −13.7772 + 4.85826i −0.772585 + 0.272438i
\(319\) 7.93261 + 2.57746i 0.444141 + 0.144310i
\(320\) 5.35293 17.0689i 0.299238 0.954179i
\(321\) 5.65134 2.76104i 0.315427 0.154106i
\(322\) −8.93440 + 5.03136i −0.497895 + 0.280387i
\(323\) −7.18785 + 9.89322i −0.399942 + 0.550474i
\(324\) 10.3436 14.7313i 0.574643 0.818404i
\(325\) 5.02234 2.50918i 0.278589 0.139184i
\(326\) −12.8806 + 2.59386i −0.713392 + 0.143661i
\(327\) −15.7131 8.34129i −0.868937 0.461275i
\(328\) 8.30334 10.6882i 0.458475 0.590156i
\(329\) 7.99913 2.59908i 0.441006 0.143292i
\(330\) −2.04588 20.5056i −0.112622 1.12879i
\(331\) −5.77818 1.87744i −0.317597 0.103194i 0.145880 0.989302i \(-0.453399\pi\)
−0.463478 + 0.886109i \(0.653399\pi\)
\(332\) −12.0291 28.6560i −0.660184 1.57270i
\(333\) −35.6404 1.19670i −1.95308 0.0655789i
\(334\) 19.8720 + 18.2823i 1.08735 + 1.00036i
\(335\) −7.71053 18.8251i −0.421271 1.02852i
\(336\) 7.03512 2.22919i 0.383797 0.121612i
\(337\) 5.19448 + 7.14958i 0.282961 + 0.389463i 0.926712 0.375773i \(-0.122623\pi\)
−0.643751 + 0.765235i \(0.722623\pi\)
\(338\) −11.2404 + 12.2177i −0.611395 + 0.664556i
\(339\) 13.7219 + 7.28426i 0.745272 + 0.395627i
\(340\) 5.82679 11.4580i 0.316002 0.621395i
\(341\) −0.839968 1.15612i −0.0454868 0.0626072i
\(342\) 17.8044 2.96752i 0.962754 0.160465i
\(343\) −13.7041 −0.739950
\(344\) 7.27878 + 25.1235i 0.392445 + 1.35457i
\(345\) 22.7584 13.3052i 1.22527 0.716330i
\(346\) −8.31894 14.7723i −0.447229 0.794164i
\(347\) 29.8214 9.68958i 1.60090 0.520164i 0.633570 0.773686i \(-0.281589\pi\)
0.967330 + 0.253522i \(0.0815890\pi\)
\(348\) 0.694684 7.64812i 0.0372389 0.409982i
\(349\) 10.4112 0.557300 0.278650 0.960393i \(-0.410113\pi\)
0.278650 + 0.960393i \(0.410113\pi\)
\(350\) −4.21919 + 6.23938i −0.225525 + 0.333509i
\(351\) 2.38383 + 5.32530i 0.127240 + 0.284243i
\(352\) 19.8790 7.60257i 1.05956 0.405218i
\(353\) 2.86998 + 8.83290i 0.152754 + 0.470128i 0.997926 0.0643656i \(-0.0205024\pi\)
−0.845173 + 0.534494i \(0.820502\pi\)
\(354\) −9.31318 12.1705i −0.494990 0.646852i
\(355\) −9.59662 5.93315i −0.509336 0.314899i
\(356\) 16.4640 1.37430i 0.872592 0.0728377i
\(357\) 5.25094 0.741565i 0.277909 0.0392478i
\(358\) −0.498138 + 4.29595i −0.0263274 + 0.227048i
\(359\) 20.5019 14.8955i 1.08205 0.786155i 0.104010 0.994576i \(-0.466833\pi\)
0.978039 + 0.208422i \(0.0668327\pi\)
\(360\) −17.9924 + 6.02285i −0.948281 + 0.317432i
\(361\) −0.727921 0.528866i −0.0383116 0.0278350i
\(362\) 7.79674 8.47467i 0.409787 0.445419i
\(363\) 3.92894 3.79923i 0.206216 0.199408i
\(364\) −0.547393 + 2.32863i −0.0286912 + 0.122053i
\(365\) −0.269786 3.61044i −0.0141213 0.188979i
\(366\) −4.70505 + 6.82653i −0.245937 + 0.356828i
\(367\) 7.51829 23.1389i 0.392451 1.20784i −0.538477 0.842640i \(-0.681000\pi\)
0.930929 0.365201i \(-0.119000\pi\)
\(368\) 19.4340 + 19.0689i 1.01307 + 0.994037i
\(369\) −14.3474 0.481745i −0.746896 0.0250786i
\(370\) 29.4827 + 23.3181i 1.53273 + 1.21225i
\(371\) 1.96311 + 6.04183i 0.101920 + 0.313676i
\(372\) −0.866496 + 0.990140i −0.0449257 + 0.0513363i
\(373\) −5.54884 + 7.63732i −0.287308 + 0.395445i −0.928137 0.372238i \(-0.878591\pi\)
0.640830 + 0.767683i \(0.278591\pi\)
\(374\) 14.9928 3.01921i 0.775259 0.156120i
\(375\) 10.5869 16.2147i 0.546705 0.837325i
\(376\) −12.5395 18.4808i −0.646674 0.953077i
\(377\) 2.01385 + 1.46315i 0.103719 + 0.0753561i
\(378\) −6.29229 4.65586i −0.323641 0.239472i
\(379\) −16.2370 + 5.27573i −0.834040 + 0.270996i −0.694746 0.719255i \(-0.744483\pi\)
−0.139294 + 0.990251i \(0.544483\pi\)
\(380\) −16.9594 8.62450i −0.870001 0.442427i
\(381\) 2.78909 15.8800i 0.142890 0.813559i
\(382\) 24.6792 4.96984i 1.26270 0.254279i
\(383\) 26.1325 + 8.49096i 1.33531 + 0.433868i 0.887725 0.460374i \(-0.152285\pi\)
0.447583 + 0.894242i \(0.352285\pi\)
\(384\) −10.8838 16.2955i −0.555410 0.831576i
\(385\) −8.93645 + 0.667767i −0.455443 + 0.0340326i
\(386\) −8.18826 + 17.8730i −0.416772 + 0.909712i
\(387\) 17.0511 21.8849i 0.866758 1.11247i
\(388\) −19.8171 12.0151i −1.00606 0.609976i
\(389\) 3.37798 4.64939i 0.171270 0.235733i −0.714750 0.699380i \(-0.753459\pi\)
0.886020 + 0.463647i \(0.153459\pi\)
\(390\) 1.31041 6.00888i 0.0663549 0.304272i
\(391\) 11.4999 + 15.8283i 0.581576 + 0.800470i
\(392\) 4.61655 + 15.9345i 0.233171 + 0.804814i
\(393\) −12.6448 + 1.78576i −0.637844 + 0.0900796i
\(394\) −3.67327 + 31.6783i −0.185056 + 1.59593i
\(395\) −16.0792 + 26.0074i −0.809031 + 1.30857i
\(396\) −18.8998 12.3448i −0.949749 0.620352i
\(397\) 24.7422 8.03924i 1.24178 0.403478i 0.386809 0.922160i \(-0.373577\pi\)
0.854967 + 0.518682i \(0.173577\pi\)
\(398\) −1.27042 + 2.77302i −0.0636803 + 0.138999i
\(399\) −1.09762 7.77216i −0.0549499 0.389094i
\(400\) 19.0308 + 6.15045i 0.951541 + 0.307522i
\(401\) 34.6984i 1.73275i −0.499391 0.866376i \(-0.666443\pi\)
0.499391 0.866376i \(-0.333557\pi\)
\(402\) −21.3585 6.35741i −1.06527 0.317079i
\(403\) −0.131791 0.405612i −0.00656499 0.0202050i
\(404\) −15.3275 + 13.2171i −0.762570 + 0.657573i
\(405\) 16.3689 + 11.7072i 0.813377 + 0.581737i
\(406\) −3.31734 0.384663i −0.164637 0.0190905i
\(407\) 44.7227i 2.21682i
\(408\) −5.77132 12.8443i −0.285723 0.635887i
\(409\) −2.82912 + 2.05548i −0.139891 + 0.101637i −0.655530 0.755169i \(-0.727555\pi\)
0.515639 + 0.856806i \(0.327555\pi\)
\(410\) 11.8686 + 9.38696i 0.586147 + 0.463589i
\(411\) −12.8966 6.84614i −0.636142 0.337695i
\(412\) 14.3721 23.7046i 0.708061 1.16784i
\(413\) −5.39149 + 3.91715i −0.265298 + 0.192750i
\(414\) 4.28711 28.5585i 0.210700 1.40357i
\(415\) 32.1540 13.1699i 1.57838 0.646486i
\(416\) 6.34351 0.324562i 0.311016 0.0159130i
\(417\) −7.43554 1.30594i −0.364120 0.0639523i
\(418\) −4.46887 22.1915i −0.218579 1.08542i
\(419\) −4.29638 + 13.2229i −0.209892 + 0.645981i 0.789585 + 0.613641i \(0.210296\pi\)
−0.999477 + 0.0323397i \(0.989704\pi\)
\(420\) 2.42383 + 7.88688i 0.118271 + 0.384840i
\(421\) −6.26295 19.2754i −0.305238 0.939425i −0.979588 0.201014i \(-0.935576\pi\)
0.674351 0.738411i \(-0.264424\pi\)
\(422\) −20.9439 + 11.7944i −1.01953 + 0.574144i
\(423\) −8.07194 + 22.2704i −0.392471 + 1.08282i
\(424\) 13.9588 9.47120i 0.677898 0.459962i
\(425\) 12.7533 + 6.62568i 0.618624 + 0.321393i
\(426\) −11.6560 + 4.11027i −0.564735 + 0.199143i
\(427\) 2.91683 + 2.11920i 0.141155 + 0.102555i
\(428\) −5.50024 + 4.74292i −0.265864 + 0.229258i
\(429\) 6.57450 3.21206i 0.317420 0.155080i
\(430\) −28.1586 + 7.89340i −1.35793 + 0.380654i
\(431\) 2.67383 8.22920i 0.128794 0.396386i −0.865779 0.500426i \(-0.833177\pi\)
0.994573 + 0.104039i \(0.0331768\pi\)
\(432\) −7.22504 + 19.4884i −0.347615 + 0.937637i
\(433\) 31.8729 + 10.3561i 1.53172 + 0.497684i 0.949076 0.315047i \(-0.102020\pi\)
0.582639 + 0.812731i \(0.302020\pi\)
\(434\) 0.421075 + 0.387391i 0.0202123 + 0.0185954i
\(435\) 8.54378 + 0.850994i 0.409643 + 0.0408020i
\(436\) 19.9969 + 4.70069i 0.957677 + 0.225122i
\(437\) 23.4281 17.0215i 1.12072 0.814251i
\(438\) −3.26556 2.25072i −0.156035 0.107544i
\(439\) −11.4376 + 15.7426i −0.545889 + 0.751351i −0.989447 0.144894i \(-0.953716\pi\)
0.443559 + 0.896245i \(0.353716\pi\)
\(440\) 8.30638 + 22.2985i 0.395991 + 1.06304i
\(441\) 10.8146 13.8805i 0.514982 0.660974i
\(442\) 4.53393 + 0.525733i 0.215657 + 0.0250066i
\(443\) 13.0563i 0.620325i −0.950684 0.310163i \(-0.899616\pi\)
0.950684 0.310163i \(-0.100384\pi\)
\(444\) 40.1523 9.12977i 1.90554 0.433280i
\(445\) 1.37642 + 18.4200i 0.0652484 + 0.873192i
\(446\) −1.09895 1.95145i −0.0520366 0.0924037i
\(447\) −0.578422 + 0.282596i −0.0273584 + 0.0133663i
\(448\) −7.20174 + 4.55535i −0.340250 + 0.215220i
\(449\) 18.7063i 0.882806i −0.897309 0.441403i \(-0.854481\pi\)
0.897309 0.441403i \(-0.145519\pi\)
\(450\) −6.55860 20.1739i −0.309175 0.951005i
\(451\) 18.0036i 0.847755i
\(452\) −17.4628 4.10501i −0.821382 0.193083i
\(453\) −33.6321 + 16.4314i −1.58018 + 0.772016i
\(454\) −6.25609 + 3.52308i −0.293613 + 0.165346i
\(455\) −2.59806 0.634616i −0.121799 0.0297513i
\(456\) −19.0114 + 8.54239i −0.890290 + 0.400034i
\(457\) 35.1109i 1.64242i 0.570627 + 0.821210i \(0.306700\pi\)
−0.570627 + 0.821210i \(0.693300\pi\)
\(458\) −2.25145 + 19.4165i −0.105203 + 0.907274i
\(459\) −7.44170 + 12.9495i −0.347349 + 0.604432i
\(460\) −21.5078 + 21.5416i −1.00281 + 1.00438i
\(461\) −3.62536 + 4.98988i −0.168850 + 0.232402i −0.885053 0.465490i \(-0.845878\pi\)
0.716203 + 0.697892i \(0.245878\pi\)
\(462\) −5.57092 + 8.08282i −0.259183 + 0.376047i
\(463\) 14.6195 10.6217i 0.679425 0.493631i −0.193742 0.981053i \(-0.562062\pi\)
0.873167 + 0.487421i \(0.162062\pi\)
\(464\) 1.47017 + 8.74492i 0.0682510 + 0.405973i
\(465\) −1.09855 0.978360i −0.0509438 0.0453703i
\(466\) −6.44260 + 7.00279i −0.298448 + 0.324398i
\(467\) −30.6430 9.95653i −1.41799 0.460733i −0.503028 0.864270i \(-0.667781\pi\)
−0.914963 + 0.403537i \(0.867781\pi\)
\(468\) −4.22594 5.24691i −0.195344 0.242539i
\(469\) −2.99460 + 9.21642i −0.138278 + 0.425575i
\(470\) 20.7833 13.8394i 0.958663 0.638363i
\(471\) −5.92752 + 2.89597i −0.273126 + 0.133439i
\(472\) 13.9743 + 10.8563i 0.643221 + 0.499700i
\(473\) −28.1486 20.4511i −1.29427 0.940344i
\(474\) 11.1391 + 31.5885i 0.511635 + 1.45091i
\(475\) 9.80697 18.8767i 0.449975 0.866122i
\(476\) −5.64614 + 2.37012i −0.258790 + 0.108634i
\(477\) −16.8211 6.09682i −0.770184 0.279154i
\(478\) −9.96961 17.7035i −0.456000 0.809738i
\(479\) −3.14794 9.68838i −0.143833 0.442673i 0.853026 0.521869i \(-0.174765\pi\)
−0.996859 + 0.0791954i \(0.974765\pi\)
\(480\) 18.3240 12.0096i 0.836374 0.548159i
\(481\) −4.12449 + 12.6939i −0.188061 + 0.578791i
\(482\) 33.7742 6.80135i 1.53837 0.309793i
\(483\) −12.3688 2.17240i −0.562801 0.0988476i
\(484\) −3.27190 + 5.39651i −0.148723 + 0.245296i
\(485\) 13.6254 22.0386i 0.618700 1.00072i
\(486\) 21.2356 5.92030i 0.963266 0.268550i
\(487\) −4.70083 + 3.41535i −0.213015 + 0.154764i −0.689177 0.724593i \(-0.742028\pi\)
0.476162 + 0.879358i \(0.342028\pi\)
\(488\) 3.24961 9.00511i 0.147103 0.407642i
\(489\) −14.2136 7.54528i −0.642761 0.341209i
\(490\) −17.8595 + 5.00637i −0.806810 + 0.226165i
\(491\) −15.1802 + 11.0290i −0.685071 + 0.497734i −0.875036 0.484057i \(-0.839163\pi\)
0.189965 + 0.981791i \(0.439163\pi\)
\(492\) 16.1637 3.67528i 0.728717 0.165695i
\(493\) 6.37215i 0.286987i
\(494\) 0.778161 6.71088i 0.0350111 0.301937i
\(495\) 13.9851 21.0098i 0.628585 0.944320i
\(496\) 0.676881 1.36018i 0.0303929 0.0610738i
\(497\) 1.66086 + 5.11161i 0.0744999 + 0.229287i
\(498\) 10.8587 36.4813i 0.486592 1.63476i
\(499\) 12.9825i 0.581176i −0.956848 0.290588i \(-0.906149\pi\)
0.956848 0.290588i \(-0.0938510\pi\)
\(500\) −7.06114 + 21.2165i −0.315784 + 0.948831i
\(501\) 4.62461 + 32.7463i 0.206612 + 1.46300i
\(502\) −18.5338 8.49102i −0.827206 0.378973i
\(503\) −16.8618 + 5.47872i −0.751828 + 0.244284i −0.659768 0.751470i \(-0.729345\pi\)
−0.0920606 + 0.995753i \(0.529345\pi\)
\(504\) 8.39406 + 3.35156i 0.373901 + 0.149291i
\(505\) −14.6276 17.2645i −0.650918 0.768258i
\(506\) −35.9761 4.17162i −1.59933 0.185451i
\(507\) −20.1331 + 2.84330i −0.894143 + 0.126276i
\(508\) 1.54866 + 18.5528i 0.0687106 + 0.823149i
\(509\) −7.18389 9.88778i −0.318420 0.438268i 0.619564 0.784946i \(-0.287310\pi\)
−0.937984 + 0.346678i \(0.887310\pi\)
\(510\) 14.4159 6.32744i 0.638347 0.280184i
\(511\) −1.01375 + 1.39530i −0.0448455 + 0.0617246i
\(512\) 16.9396 + 15.0016i 0.748633 + 0.662985i
\(513\) 19.1672 + 11.0148i 0.846252 + 0.486315i
\(514\) 34.2446 + 15.6887i 1.51047 + 0.691999i
\(515\) 26.3618 + 16.2983i 1.16164 + 0.718188i
\(516\) −12.6149 + 29.4469i −0.555338 + 1.29633i
\(517\) 28.2539 + 9.18023i 1.24260 + 0.403746i
\(518\) −3.53498 17.5540i −0.155318 0.771278i
\(519\) 3.59189 20.4509i 0.157666 0.897693i
\(520\) 0.301195 + 7.09515i 0.0132083 + 0.311143i
\(521\) −24.6446 + 8.00751i −1.07970 + 0.350815i −0.794258 0.607581i \(-0.792140\pi\)
−0.285441 + 0.958396i \(0.592140\pi\)
\(522\) 6.59681 6.70422i 0.288734 0.293436i
\(523\) 20.8125 + 15.1212i 0.910066 + 0.661202i 0.941032 0.338318i \(-0.109858\pi\)
−0.0309652 + 0.999520i \(0.509858\pi\)
\(524\) 13.5964 5.70748i 0.593963 0.249332i
\(525\) −8.84102 + 2.63315i −0.385854 + 0.114920i
\(526\) −4.23432 21.0268i −0.184625 0.916812i
\(527\) 0.641709 0.883237i 0.0279533 0.0384744i
\(528\) 24.7312 + 8.23580i 1.07629 + 0.358417i
\(529\) −7.20982 22.1895i −0.313470 0.964762i
\(530\) 10.4530 + 15.6979i 0.454051 + 0.681871i
\(531\) 0.629861 18.7586i 0.0273337 0.814055i
\(532\) 3.50813 + 8.35711i 0.152097 + 0.362327i
\(533\) −1.66036 + 5.11005i −0.0719181 + 0.221341i
\(534\) 16.6605 + 11.4829i 0.720970 + 0.496914i
\(535\) −5.24908 6.19533i −0.226938 0.267847i
\(536\) 25.7187 + 0.827398i 1.11088 + 0.0357381i
\(537\) −3.80765 + 3.68195i −0.164312 + 0.158888i
\(538\) 16.7371 + 15.3982i 0.721588 + 0.663864i
\(539\) −17.8532 12.9711i −0.768990 0.558704i
\(540\) −21.7177 8.26697i −0.934580 0.355754i
\(541\) 6.60000 4.79518i 0.283756 0.206161i −0.436798 0.899560i \(-0.643888\pi\)
0.720554 + 0.693399i \(0.243888\pi\)
\(542\) 19.5576 + 2.26781i 0.840071 + 0.0974106i
\(543\) 13.9651 1.97222i 0.599300 0.0846362i
\(544\) 10.2169 + 12.6488i 0.438046 + 0.542315i
\(545\) −5.44972 + 22.3107i −0.233440 + 0.955684i
\(546\) −2.32665 + 1.78042i −0.0995715 + 0.0761950i
\(547\) −3.33780 10.2727i −0.142714 0.439228i 0.853996 0.520280i \(-0.174172\pi\)
−0.996710 + 0.0810512i \(0.974172\pi\)
\(548\) 16.4125 + 3.85811i 0.701108 + 0.164810i
\(549\) −9.75711 + 2.81198i −0.416423 + 0.120013i
\(550\) −25.0103 + 9.06971i −1.06644 + 0.386734i
\(551\) 9.43170 0.401804
\(552\) 3.59893 + 33.1512i 0.153180 + 1.41101i
\(553\) 13.8528 4.50104i 0.589080 0.191404i
\(554\) 19.0421 10.7235i 0.809022 0.455596i
\(555\) 9.81671 + 44.9787i 0.416696 + 1.90924i
\(556\) 8.68703 0.725131i 0.368412 0.0307524i
\(557\) −11.5067 −0.487554 −0.243777 0.969831i \(-0.578386\pi\)
−0.243777 + 0.969831i \(0.578386\pi\)
\(558\) −1.58953 + 0.264932i −0.0672901 + 0.0112154i
\(559\) −6.10348 8.40073i −0.258150 0.355313i
\(560\) −5.02283 8.09577i −0.212254 0.342109i
\(561\) 16.5444 + 8.78256i 0.698504 + 0.370800i
\(562\) −25.0176 23.0163i −1.05530 0.970883i
\(563\) −19.9046 27.3963i −0.838878 1.15462i −0.986205 0.165529i \(-0.947067\pi\)
0.147327 0.989088i \(-0.452933\pi\)
\(564\) 2.47428 27.2406i 0.104186 1.14703i
\(565\) 4.75911 19.4834i 0.200217 0.819673i
\(566\) 23.0384 25.0416i 0.968378 1.05258i
\(567\) −2.34419 9.29568i −0.0984469 0.390382i
\(568\) 11.8096 8.01299i 0.495522 0.336218i
\(569\) 28.3556 + 9.21329i 1.18873 + 0.386241i 0.835603 0.549334i \(-0.185119\pi\)
0.353126 + 0.935576i \(0.385119\pi\)
\(570\) −9.36552 21.3376i −0.392279 0.893735i
\(571\) −21.9256 + 7.12405i −0.917557 + 0.298132i −0.729464 0.684019i \(-0.760231\pi\)
−0.188093 + 0.982151i \(0.560231\pi\)
\(572\) −6.39872 + 5.51769i −0.267544 + 0.230706i
\(573\) 27.2332 + 14.4567i 1.13769 + 0.603939i
\(574\) −1.42304 7.06654i −0.0593966 0.294952i
\(575\) −23.8743 24.2550i −0.995628 1.01150i
\(576\) 2.34548 23.8851i 0.0977282 0.995213i
\(577\) 18.9329 26.0589i 0.788186 1.08484i −0.206146 0.978521i \(-0.566092\pi\)
0.994332 0.106323i \(-0.0339079\pi\)
\(578\) −6.06375 10.7677i −0.252219 0.447876i
\(579\) −21.6338 + 10.5695i −0.899072 + 0.439254i
\(580\) −9.79104 + 1.55863i −0.406551 + 0.0647187i
\(581\) −15.7420 5.11490i −0.653090 0.212202i
\(582\) −9.43922 26.7680i −0.391268 1.10957i
\(583\) −6.93393 + 21.3404i −0.287174 + 0.883830i
\(584\) 4.30772 + 1.55450i 0.178255 + 0.0643255i
\(585\) 5.90708 4.67356i 0.244228 0.193228i
\(586\) 13.0751 + 5.99018i 0.540129 + 0.247452i
\(587\) −16.0298 22.0631i −0.661621 0.910643i 0.337913 0.941177i \(-0.390279\pi\)
−0.999534 + 0.0305344i \(0.990279\pi\)
\(588\) −8.00094 + 18.6766i −0.329953 + 0.770211i
\(589\) −1.30732 0.949823i −0.0538672 0.0391368i
\(590\) −12.2731 + 15.5177i −0.505274 + 0.638852i
\(591\) −28.0776 + 27.1507i −1.15496 + 1.11683i
\(592\) −42.1584 + 21.9867i −1.73270 + 0.903647i
\(593\) 41.0713 1.68660 0.843299 0.537445i \(-0.180611\pi\)
0.843299 + 0.537445i \(0.180611\pi\)
\(594\) −8.31434 26.3679i −0.341142 1.08189i
\(595\) −2.59490 6.33538i −0.106380 0.259725i
\(596\) 0.562956 0.485444i 0.0230596 0.0198846i
\(597\) −3.35651 + 1.63987i −0.137373 + 0.0671154i
\(598\) −9.82658 4.50191i −0.401839 0.184097i
\(599\) 9.65061 0.394313 0.197157 0.980372i \(-0.436829\pi\)
0.197157 + 0.980372i \(0.436829\pi\)
\(600\) 13.2485 + 20.6029i 0.540867 + 0.841108i
\(601\) −20.7168 −0.845054 −0.422527 0.906350i \(-0.638857\pi\)
−0.422527 + 0.906350i \(0.638857\pi\)
\(602\) 12.6650 + 5.80230i 0.516188 + 0.236484i
\(603\) −15.2924 22.6064i −0.622753 0.920602i
\(604\) 32.7329 28.2260i 1.33188 1.14850i
\(605\) −6.00144 3.71041i −0.243993 0.150850i
\(606\) −24.7801 + 0.616101i −1.00662 + 0.0250274i
\(607\) −13.9554 −0.566431 −0.283216 0.959056i \(-0.591401\pi\)
−0.283216 + 0.959056i \(0.591401\pi\)
\(608\) 18.7221 15.1225i 0.759283 0.613298i
\(609\) −2.84321 2.94028i −0.115213 0.119146i
\(610\) 10.0361 + 3.72057i 0.406348 + 0.150642i
\(611\) 7.17281 + 5.21135i 0.290181 + 0.210829i
\(612\) 4.50764 16.6465i 0.182211 0.672896i
\(613\) −0.153307 0.211009i −0.00619200 0.00852256i 0.805910 0.592038i \(-0.201677\pi\)
−0.812102 + 0.583516i \(0.801677\pi\)
\(614\) 3.89917 + 1.78635i 0.157358 + 0.0720912i
\(615\) 3.95182 + 18.1066i 0.159353 + 0.730130i
\(616\) 3.84764 10.6623i 0.155026 0.429597i
\(617\) −0.797927 + 2.45577i −0.0321233 + 0.0988655i −0.965833 0.259167i \(-0.916552\pi\)
0.933709 + 0.358032i \(0.116552\pi\)
\(618\) 32.0189 11.2909i 1.28799 0.454185i
\(619\) −42.5094 13.8121i −1.70860 0.555157i −0.718499 0.695528i \(-0.755171\pi\)
−0.990099 + 0.140371i \(0.955171\pi\)
\(620\) 1.51409 + 0.769969i 0.0608073 + 0.0309227i
\(621\) 26.2364 23.7192i 1.05283 0.951818i
\(622\) 19.6875 + 34.9599i 0.789395 + 1.40176i
\(623\) 5.17201 7.11866i 0.207212 0.285203i
\(624\) 6.26006 + 4.61842i 0.250603 + 0.184885i
\(625\) −23.6512 8.10053i −0.946050 0.324021i
\(626\) −0.328732 1.63242i −0.0131388 0.0652446i
\(627\) 12.9995 24.4881i 0.519149 0.977959i
\(628\) 5.76903 4.97471i 0.230210 0.198512i
\(629\) −32.4945 + 10.5581i −1.29564 + 0.420979i
\(630\) −3.82862 + 9.35192i −0.152536 + 0.372589i
\(631\) 2.19977 + 0.714749i 0.0875715 + 0.0284537i 0.352475 0.935821i \(-0.385340\pi\)
−0.264904 + 0.964275i \(0.585340\pi\)
\(632\) −21.7157 32.0048i −0.863803 1.27308i
\(633\) −28.9948 5.09251i −1.15244 0.202409i
\(634\) −0.475548 + 0.516897i −0.0188864 + 0.0205286i
\(635\) −20.7570 + 1.55104i −0.823716 + 0.0615513i
\(636\) 20.5751 + 1.86885i 0.815855 + 0.0741046i
\(637\) −3.87112 5.32814i −0.153379 0.211108i
\(638\) −8.68082 7.98640i −0.343677 0.316185i
\(639\) −14.2313 5.15814i −0.562980 0.204053i
\(640\) −16.9364 + 18.7925i −0.669468 + 0.742841i
\(641\) 16.9735 + 23.3620i 0.670413 + 0.922745i 0.999770 0.0214611i \(-0.00683180\pi\)
−0.329357 + 0.944206i \(0.606832\pi\)
\(642\) −8.89230 + 0.221087i −0.350951 + 0.00872561i
\(643\) 28.5484 1.12584 0.562920 0.826511i \(-0.309678\pi\)
0.562920 + 0.826511i \(0.309678\pi\)
\(644\) 14.4506 1.20624i 0.569435 0.0475324i
\(645\) −32.7988 14.3895i −1.29145 0.566588i
\(646\) 15.0689 8.48594i 0.592876 0.333875i
\(647\) 15.3388 4.98389i 0.603032 0.195937i 0.00843998 0.999964i \(-0.497313\pi\)
0.594592 + 0.804027i \(0.297313\pi\)
\(648\) −21.9760 + 12.8475i −0.863297 + 0.504696i
\(649\) −23.5389 −0.923983
\(650\) −7.93524 + 0.267765i −0.311246 + 0.0105026i
\(651\) 0.0979926 + 0.693875i 0.00384063 + 0.0271951i
\(652\) 18.0886 + 4.25210i 0.708403 + 0.166525i
\(653\) −6.14191 18.9029i −0.240352 0.739726i −0.996366 0.0851714i \(-0.972856\pi\)
0.756015 0.654555i \(-0.227144\pi\)
\(654\) 15.2892 + 19.9799i 0.597856 + 0.781278i
\(655\) 6.24875 + 15.2562i 0.244159 + 0.596108i
\(656\) −16.9713 + 8.85096i −0.662618 + 0.345572i
\(657\) −1.34515 4.66745i −0.0524793 0.182094i
\(658\) −11.8155 1.37007i −0.460615 0.0534108i
\(659\) −34.8156 + 25.2950i −1.35622 + 0.985354i −0.357548 + 0.933895i \(0.616387\pi\)
−0.998675 + 0.0514590i \(0.983613\pi\)
\(660\) −9.44796 + 27.5692i −0.367761 + 1.07313i
\(661\) 16.7406 + 12.1628i 0.651135 + 0.473077i 0.863658 0.504079i \(-0.168168\pi\)
−0.212523 + 0.977156i \(0.568168\pi\)
\(662\) 6.32318 + 5.81736i 0.245757 + 0.226098i
\(663\) 3.88592 + 4.01859i 0.150917 + 0.156069i
\(664\) −1.41323 + 43.9287i −0.0548440 + 1.70476i
\(665\) −9.37728 + 3.84082i −0.363635 + 0.148941i
\(666\) 45.1183 + 22.5318i 1.74830 + 0.873091i
\(667\) 4.66303 14.3513i 0.180553 0.555686i
\(668\) −14.7808 35.2109i −0.571885 1.36235i
\(669\) 0.474494 2.70159i 0.0183450 0.104450i
\(670\) −1.17502 + 28.7453i −0.0453951 + 1.11053i
\(671\) 3.93523 + 12.1114i 0.151918 + 0.467555i
\(672\) −10.3582 1.27781i −0.399575 0.0492924i
\(673\) −18.0086 + 24.7867i −0.694180 + 0.955457i 0.305814 + 0.952091i \(0.401071\pi\)
−0.999994 + 0.00336563i \(0.998929\pi\)
\(674\) −2.46727 12.2520i −0.0950357 0.471928i
\(675\) 9.45351 24.1998i 0.363866 0.931451i
\(676\) 21.6484 9.08751i 0.832630 0.349520i
\(677\) 17.9811 + 13.0640i 0.691070 + 0.502092i 0.877012 0.480469i \(-0.159534\pi\)
−0.185942 + 0.982561i \(0.559534\pi\)
\(678\) −13.3517 17.4480i −0.512770 0.670088i
\(679\) −11.7388 + 3.81417i −0.450494 + 0.146374i
\(680\) −14.2406 + 11.2994i −0.546103 + 0.433314i
\(681\) −8.66095 1.52117i −0.331888 0.0582913i
\(682\) 0.398967 + 1.98119i 0.0152772 + 0.0758638i
\(683\) −2.21814 0.720716i −0.0848746 0.0275774i 0.266272 0.963898i \(-0.414208\pi\)
−0.351147 + 0.936321i \(0.614208\pi\)
\(684\) −24.6393 6.67196i −0.942106 0.255109i
\(685\) −4.47287 + 18.3116i −0.170900 + 0.699648i
\(686\) 17.6194 + 8.07209i 0.672713 + 0.308194i
\(687\) −17.2096 + 16.6414i −0.656585 + 0.634909i
\(688\) 5.44007 36.5889i 0.207401 1.39494i
\(689\) −3.93619 + 5.41770i −0.149957 + 0.206398i
\(690\) −37.0978 + 3.70132i −1.41229 + 0.140907i
\(691\) 14.6482 + 20.1615i 0.557244 + 0.766980i 0.990973 0.134063i \(-0.0428025\pi\)
−0.433729 + 0.901043i \(0.642802\pi\)
\(692\) 1.99442 + 23.8930i 0.0758163 + 0.908275i
\(693\) −11.5527 + 3.32947i −0.438852 + 0.126476i
\(694\) −44.0491 5.10773i −1.67208 0.193887i
\(695\) 0.726248 + 9.71908i 0.0275482 + 0.368666i
\(696\) −5.39812 + 9.42406i −0.204615 + 0.357218i
\(697\) −13.0810 + 4.25028i −0.495478 + 0.160991i
\(698\) −13.3858 6.13251i −0.506660 0.232119i
\(699\) −11.5396 + 1.62969i −0.436470 + 0.0616405i
\(700\) 9.09983 5.53679i 0.343941 0.209271i
\(701\) 9.33962i 0.352753i −0.984323 0.176376i \(-0.943562\pi\)
0.984323 0.176376i \(-0.0564376\pi\)
\(702\) 0.0718419 8.25093i 0.00271150 0.311411i
\(703\) 15.6275 + 48.0966i 0.589404 + 1.81400i
\(704\) −30.0368 1.93463i −1.13205 0.0729141i
\(705\) 30.4307 + 3.03101i 1.14609 + 0.114155i
\(706\) 1.51287 13.0470i 0.0569377 0.491032i
\(707\) 10.7792i 0.405395i
\(708\) 4.80528 + 21.1334i 0.180593 + 0.794241i
\(709\) 36.3736 26.4270i 1.36604 0.992485i 0.368004 0.929824i \(-0.380041\pi\)
0.998035 0.0626614i \(-0.0199588\pi\)
\(710\) 8.84366 + 13.2810i 0.331897 + 0.498426i
\(711\) −13.9789 + 38.5676i −0.524248 + 1.44640i
\(712\) −21.9774 7.93084i −0.823639 0.297221i
\(713\) −2.09159 + 1.51963i −0.0783308 + 0.0569107i
\(714\) −7.18798 2.13952i −0.269003 0.0800695i
\(715\) −6.10653 7.20735i −0.228371 0.269540i
\(716\) 3.17090 5.22992i 0.118502 0.195451i
\(717\) 4.30460 24.5088i 0.160758 0.915297i
\(718\) −35.1333 + 7.07506i −1.31116 + 0.264039i
\(719\) 5.63305 17.3368i 0.210077 0.646552i −0.789389 0.613893i \(-0.789603\pi\)
0.999467 0.0326586i \(-0.0103974\pi\)
\(720\) 26.6806 + 2.85440i 0.994326 + 0.106377i
\(721\) −4.56237 14.0415i −0.169912 0.522934i
\(722\) 0.624377 + 1.10873i 0.0232369 + 0.0412628i
\(723\) 37.2694 + 19.7844i 1.38606 + 0.735791i
\(724\) −15.0162 + 6.30345i −0.558071 + 0.234266i
\(725\) −1.64737 10.9615i −0.0611816 0.407098i
\(726\) −7.28932 + 2.57044i −0.270532 + 0.0953981i
\(727\) −33.0545 24.0155i −1.22592 0.890686i −0.229346 0.973345i \(-0.573659\pi\)
−0.996578 + 0.0826588i \(0.973659\pi\)
\(728\) 2.07542 2.67150i 0.0769200 0.0990125i
\(729\) 24.7097 + 10.8825i 0.915176 + 0.403055i
\(730\) −1.77979 + 4.80088i −0.0658728 + 0.177689i
\(731\) 8.21405 25.2802i 0.303808 0.935023i
\(732\) 10.0703 6.00552i 0.372210 0.221970i
\(733\) 14.0288 + 4.55822i 0.518165 + 0.168362i 0.556412 0.830906i \(-0.312178\pi\)
−0.0382476 + 0.999268i \(0.512178\pi\)
\(734\) −23.2958 + 25.3214i −0.859864 + 0.934630i
\(735\) −20.8025 9.12653i −0.767313 0.336637i
\(736\) −13.7542 35.9643i −0.506988 1.32566i
\(737\) −27.6916 + 20.1191i −1.02003 + 0.741098i
\(738\) 18.1628 + 9.07042i 0.668583 + 0.333887i
\(739\) 3.77113 5.19052i 0.138723 0.190936i −0.734003 0.679147i \(-0.762350\pi\)
0.872726 + 0.488210i \(0.162350\pi\)
\(740\) −24.1711 47.3465i −0.888548 1.74049i
\(741\) 5.94809 5.75172i 0.218509 0.211295i
\(742\) 1.03483 8.92435i 0.0379897 0.327623i
\(743\) 0.134545i 0.00493599i 0.999997 + 0.00246800i \(0.000785588\pi\)
−0.999997 + 0.00246800i \(0.999214\pi\)
\(744\) 1.69728 0.762639i 0.0622253 0.0279597i
\(745\) 0.537250 + 0.634099i 0.0196833 + 0.0232316i
\(746\) 11.6328 6.55094i 0.425906 0.239847i
\(747\) 38.6127 26.1200i 1.41276 0.955682i
\(748\) −21.0548 4.94937i −0.769838 0.180967i
\(749\) 3.86812i 0.141338i
\(750\) −23.1626 + 14.6114i −0.845779 + 0.533534i
\(751\) 2.79895i 0.102135i 0.998695 + 0.0510676i \(0.0162624\pi\)
−0.998695 + 0.0510676i \(0.983738\pi\)
\(752\) 5.23636 + 31.1471i 0.190950 + 1.13582i
\(753\) −10.9603 22.4337i −0.399416 0.817531i
\(754\) −1.72739 3.06740i −0.0629078 0.111708i
\(755\) 31.2382 + 36.8695i 1.13688 + 1.34182i
\(756\) 5.34762 + 9.69242i 0.194491 + 0.352510i
\(757\) 12.7242i 0.462467i −0.972898 0.231234i \(-0.925724\pi\)
0.972898 0.231234i \(-0.0742762\pi\)
\(758\) 23.9836 + 2.78103i 0.871124 + 0.101011i
\(759\) −30.8342 31.8870i −1.11921 1.15742i
\(760\) 16.7248 + 21.0782i 0.606673 + 0.764586i
\(761\) 16.0710 22.1199i 0.582575 0.801846i −0.411400 0.911455i \(-0.634960\pi\)
0.993975 + 0.109609i \(0.0349599\pi\)
\(762\) −12.9398 + 18.7742i −0.468758 + 0.680119i
\(763\) 8.85109 6.43069i 0.320431 0.232807i
\(764\) −34.6577 8.14703i −1.25387 0.294749i
\(765\) 18.5669 + 5.20132i 0.671286 + 0.188054i
\(766\) −28.5973 26.3097i −1.03326 0.950608i
\(767\) −6.68118 2.17085i −0.241243 0.0783847i
\(768\) 4.39483 + 27.3621i 0.158585 + 0.987345i
\(769\) 2.64404 8.13751i 0.0953465 0.293446i −0.891997 0.452041i \(-0.850696\pi\)
0.987344 + 0.158594i \(0.0506962\pi\)
\(770\) 11.8830 + 4.40527i 0.428233 + 0.158755i
\(771\) 20.2512 + 41.4504i 0.729328 + 1.49280i
\(772\) 21.0554 18.1563i 0.757801 0.653461i
\(773\) −19.0205 13.8192i −0.684121 0.497043i 0.190601 0.981668i \(-0.438956\pi\)
−0.874722 + 0.484624i \(0.838956\pi\)
\(774\)