Properties

Label 731.2.z.a.67.3
Level 731
Weight 2
Character 731.67
Analytic conductor 5.837
Analytic rank 0
Dimension 768
CM no
Inner twists 4

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.z (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(768\)
Relative dimension: \(64\) over \(\Q(\zeta_{42})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 67.3
Character \(\chi\) = 731.67
Dual form 731.2.z.a.611.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.67449 + 2.09974i) q^{2} +(-0.149191 - 0.989818i) q^{3} +(-1.15996 - 5.08212i) q^{4} +(-2.44528 - 3.58657i) q^{5} +(2.32818 + 1.34418i) q^{6} +(0.298243 - 0.172191i) q^{7} +(7.77406 + 3.74379i) q^{8} +(1.90924 - 0.588921i) q^{9} +O(q^{10})\) \(q+(-1.67449 + 2.09974i) q^{2} +(-0.149191 - 0.989818i) q^{3} +(-1.15996 - 5.08212i) q^{4} +(-2.44528 - 3.58657i) q^{5} +(2.32818 + 1.34418i) q^{6} +(0.298243 - 0.172191i) q^{7} +(7.77406 + 3.74379i) q^{8} +(1.90924 - 0.588921i) q^{9} +(11.6255 + 0.871209i) q^{10} +(3.18945 + 0.727972i) q^{11} +(-4.85732 + 1.90636i) q^{12} +(-0.285303 - 3.80710i) q^{13} +(-0.137848 + 0.914564i) q^{14} +(-3.18524 + 2.95547i) q^{15} +(-11.4854 + 5.53107i) q^{16} +(4.05866 + 0.726133i) q^{17} +(-1.96041 + 4.99504i) q^{18} +(-3.96623 - 1.22342i) q^{19} +(-15.3910 + 16.5875i) q^{20} +(-0.214933 - 0.269517i) q^{21} +(-6.86925 + 5.47804i) q^{22} +(4.78248 - 5.15428i) q^{23} +(2.54585 - 8.25345i) q^{24} +(-5.05739 + 12.8860i) q^{25} +(8.47166 + 5.77588i) q^{26} +(-2.17072 - 4.50754i) q^{27} +(-1.22104 - 1.31597i) q^{28} +(0.840643 - 5.57730i) q^{29} +(-0.872078 - 11.6371i) q^{30} +(3.71087 - 1.45641i) q^{31} +(3.77825 - 16.5536i) q^{32} +(0.244722 - 3.26558i) q^{33} +(-8.32087 + 7.30623i) q^{34} +(-1.34686 - 0.648615i) q^{35} +(-5.20761 - 9.01984i) q^{36} +(1.26753 + 0.731808i) q^{37} +(9.21027 - 6.27945i) q^{38} +(-3.72577 + 0.850383i) q^{39} +(-5.58241 - 37.0369i) q^{40} +(2.16785 + 1.72880i) q^{41} +0.925818 q^{42} +(-3.70677 - 5.40924i) q^{43} -17.0536i q^{44} +(-6.78084 - 5.40754i) q^{45} +(2.81446 + 18.6727i) q^{46} +(1.12220 + 4.91667i) q^{47} +(7.18827 + 10.5433i) q^{48} +(-3.44070 + 5.95947i) q^{49} +(-18.5888 - 32.1967i) q^{50} +(0.113224 - 4.12567i) q^{51} +(-19.0172 + 5.86603i) q^{52} +(0.473579 - 6.31948i) q^{53} +(13.0995 + 2.98988i) q^{54} +(-5.18819 - 13.2193i) q^{55} +(2.96321 - 0.222062i) q^{56} +(-0.619237 + 4.10837i) q^{57} +(10.3032 + 11.1043i) q^{58} +(-6.39838 + 3.08130i) q^{59} +(18.7148 + 12.7595i) q^{60} +(-11.7277 - 4.60277i) q^{61} +(-3.15572 + 10.2306i) q^{62} +(0.468010 - 0.504394i) q^{63} +(12.5354 + 15.7188i) q^{64} +(-12.9568 + 10.3327i) q^{65} +(6.44710 + 5.98203i) q^{66} +(9.67778 + 2.98520i) q^{67} +(-1.01759 - 21.4689i) q^{68} +(-5.81531 - 3.96481i) q^{69} +(3.61723 - 1.74197i) q^{70} +(0.992775 + 1.06996i) q^{71} +(17.0473 + 2.56947i) q^{72} +(-3.26484 + 0.244666i) q^{73} +(-3.65907 + 1.43608i) q^{74} +(13.5093 + 3.08342i) q^{75} +(-1.61690 + 21.5760i) q^{76} +(1.07658 - 0.332081i) q^{77} +(4.45317 - 9.24711i) q^{78} +(-2.78500 + 1.60792i) q^{79} +(47.9227 + 27.6682i) q^{80} +(0.814687 - 0.555444i) q^{81} +(-7.26007 + 1.65706i) q^{82} +(7.16619 - 1.08013i) q^{83} +(-1.12040 + 1.40494i) q^{84} +(-7.32025 - 16.3323i) q^{85} +(17.5649 + 1.27445i) q^{86} -5.64593 q^{87} +(22.0696 + 17.5999i) q^{88} +(5.91715 - 0.891867i) q^{89} +(22.7088 - 5.18315i) q^{90} +(-0.740637 - 1.08631i) q^{91} +(-31.7422 - 18.3264i) q^{92} +(-1.99521 - 3.45580i) q^{93} +(-12.2028 - 5.87658i) q^{94} +(5.31068 + 17.2168i) q^{95} +(-16.9487 - 1.27013i) q^{96} +(-11.8980 - 2.71564i) q^{97} +(-6.75193 - 17.2036i) q^{98} +(6.51814 - 0.488467i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 768q - 24q^{2} - 144q^{4} - 16q^{8} - 98q^{9} + O(q^{10}) \) \( 768q - 24q^{2} - 144q^{4} - 16q^{8} - 98q^{9} - 18q^{13} - 30q^{15} - 160q^{16} - 16q^{17} - 54q^{18} - 68q^{19} - 50q^{21} - 88q^{25} - 26q^{26} - 50q^{32} - 36q^{33} - 38q^{34} + 14q^{35} + 328q^{36} - 44q^{38} - 148q^{42} + 102q^{43} - 64q^{47} + 298q^{49} + 40q^{50} - 31q^{51} - 38q^{52} - 28q^{53} - 80q^{55} - 16q^{59} - 34q^{60} - 64q^{64} - 126q^{66} + 74q^{67} - 132q^{68} - 28q^{69} + 50q^{70} + 26q^{72} - 258q^{76} - 112q^{77} + 90q^{81} + 48q^{83} - 298q^{84} + 36q^{85} + 142q^{86} + 192q^{87} - 120q^{89} - 188q^{93} + 64q^{94} + 146q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(-1\) \(e\left(\frac{20}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.67449 + 2.09974i −1.18404 + 1.48474i −0.346772 + 0.937949i \(0.612722\pi\)
−0.837269 + 0.546791i \(0.815849\pi\)
\(3\) −0.149191 0.989818i −0.0861355 0.571472i −0.989715 0.143052i \(-0.954308\pi\)
0.903580 0.428420i \(-0.140930\pi\)
\(4\) −1.15996 5.08212i −0.579980 2.54106i
\(5\) −2.44528 3.58657i −1.09356 1.60396i −0.745516 0.666488i \(-0.767797\pi\)
−0.348049 0.937476i \(-0.613156\pi\)
\(6\) 2.32818 + 1.34418i 0.950475 + 0.548757i
\(7\) 0.298243 0.172191i 0.112725 0.0650819i −0.442577 0.896730i \(-0.645936\pi\)
0.555303 + 0.831648i \(0.312602\pi\)
\(8\) 7.77406 + 3.74379i 2.74855 + 1.32363i
\(9\) 1.90924 0.588921i 0.636412 0.196307i
\(10\) 11.6255 + 0.871209i 3.67630 + 0.275500i
\(11\) 3.18945 + 0.727972i 0.961656 + 0.219492i 0.674403 0.738363i \(-0.264401\pi\)
0.287253 + 0.957855i \(0.407258\pi\)
\(12\) −4.85732 + 1.90636i −1.40219 + 0.550318i
\(13\) −0.285303 3.80710i −0.0791287 1.05590i −0.885546 0.464552i \(-0.846215\pi\)
0.806417 0.591347i \(-0.201404\pi\)
\(14\) −0.137848 + 0.914564i −0.0368415 + 0.244427i
\(15\) −3.18524 + 2.95547i −0.822426 + 0.763099i
\(16\) −11.4854 + 5.53107i −2.87135 + 1.38277i
\(17\) 4.05866 + 0.726133i 0.984370 + 0.176113i
\(18\) −1.96041 + 4.99504i −0.462073 + 1.17734i
\(19\) −3.96623 1.22342i −0.909916 0.280672i −0.195754 0.980653i \(-0.562716\pi\)
−0.714161 + 0.699981i \(0.753192\pi\)
\(20\) −15.3910 + 16.5875i −3.44152 + 3.70908i
\(21\) −0.214933 0.269517i −0.0469021 0.0588134i
\(22\) −6.86925 + 5.47804i −1.46453 + 1.16792i
\(23\) 4.78248 5.15428i 0.997215 1.07474i 1.24088e−5 1.00000i \(-0.499996\pi\)
0.997203 0.0747425i \(-0.0238135\pi\)
\(24\) 2.54585 8.25345i 0.519670 1.68473i
\(25\) −5.05739 + 12.8860i −1.01148 + 2.57720i
\(26\) 8.47166 + 5.77588i 1.66143 + 1.13274i
\(27\) −2.17072 4.50754i −0.417755 0.867477i
\(28\) −1.22104 1.31597i −0.230756 0.248695i
\(29\) 0.840643 5.57730i 0.156104 1.03568i −0.764343 0.644810i \(-0.776936\pi\)
0.920446 0.390869i \(-0.127825\pi\)
\(30\) −0.872078 11.6371i −0.159219 2.12463i
\(31\) 3.71087 1.45641i 0.666492 0.261579i −0.00788183 0.999969i \(-0.502509\pi\)
0.674374 + 0.738390i \(0.264414\pi\)
\(32\) 3.77825 16.5536i 0.667907 2.92629i
\(33\) 0.244722 3.26558i 0.0426006 0.568465i
\(34\) −8.32087 + 7.30623i −1.42702 + 1.25301i
\(35\) −1.34686 0.648615i −0.227661 0.109636i
\(36\) −5.20761 9.01984i −0.867935 1.50331i
\(37\) 1.26753 + 0.731808i 0.208380 + 0.120309i 0.600558 0.799581i \(-0.294945\pi\)
−0.392178 + 0.919889i \(0.628278\pi\)
\(38\) 9.21027 6.27945i 1.49410 1.01866i
\(39\) −3.72577 + 0.850383i −0.596601 + 0.136170i
\(40\) −5.58241 37.0369i −0.882657 5.85605i
\(41\) 2.16785 + 1.72880i 0.338561 + 0.269994i 0.777980 0.628289i \(-0.216244\pi\)
−0.439419 + 0.898282i \(0.644816\pi\)
\(42\) 0.925818 0.142857
\(43\) −3.70677 5.40924i −0.565277 0.824901i
\(44\) 17.0536i 2.57093i
\(45\) −6.78084 5.40754i −1.01083 0.806108i
\(46\) 2.81446 + 18.6727i 0.414970 + 2.75315i
\(47\) 1.12220 + 4.91667i 0.163689 + 0.717170i 0.988432 + 0.151662i \(0.0484626\pi\)
−0.824743 + 0.565508i \(0.808680\pi\)
\(48\) 7.18827 + 10.5433i 1.03754 + 1.52179i
\(49\) −3.44070 + 5.95947i −0.491529 + 0.851353i
\(50\) −18.5888 32.1967i −2.62885 4.55330i
\(51\) 0.113224 4.12567i 0.0158545 0.577709i
\(52\) −19.0172 + 5.86603i −2.63721 + 0.813472i
\(53\) 0.473579 6.31948i 0.0650511 0.868047i −0.865271 0.501304i \(-0.832854\pi\)
0.930322 0.366743i \(-0.119527\pi\)
\(54\) 13.0995 + 2.98988i 1.78262 + 0.406871i
\(55\) −5.18819 13.2193i −0.699576 1.78249i
\(56\) 2.96321 0.222062i 0.395975 0.0296742i
\(57\) −0.619237 + 4.10837i −0.0820200 + 0.544167i
\(58\) 10.3032 + 11.1043i 1.35288 + 1.45806i
\(59\) −6.39838 + 3.08130i −0.832998 + 0.401150i −0.801239 0.598345i \(-0.795825\pi\)
−0.0317591 + 0.999496i \(0.510111\pi\)
\(60\) 18.7148 + 12.7595i 2.41607 + 1.64725i
\(61\) −11.7277 4.60277i −1.50157 0.589325i −0.534805 0.844975i \(-0.679615\pi\)
−0.966769 + 0.255651i \(0.917710\pi\)
\(62\) −3.15572 + 10.2306i −0.400777 + 1.29929i
\(63\) 0.468010 0.504394i 0.0589637 0.0635477i
\(64\) 12.5354 + 15.7188i 1.56692 + 1.96486i
\(65\) −12.9568 + 10.3327i −1.60709 + 1.28161i
\(66\) 6.44710 + 5.98203i 0.793583 + 0.736337i
\(67\) 9.67778 + 2.98520i 1.18233 + 0.364700i 0.822744 0.568412i \(-0.192442\pi\)
0.359585 + 0.933112i \(0.382918\pi\)
\(68\) −1.01759 21.4689i −0.123401 2.60349i
\(69\) −5.81531 3.96481i −0.700081 0.477307i
\(70\) 3.61723 1.74197i 0.432342 0.208205i
\(71\) 0.992775 + 1.06996i 0.117821 + 0.126981i 0.789208 0.614127i \(-0.210492\pi\)
−0.671387 + 0.741107i \(0.734301\pi\)
\(72\) 17.0473 + 2.56947i 2.00905 + 0.302815i
\(73\) −3.26484 + 0.244666i −0.382120 + 0.0286360i −0.264406 0.964412i \(-0.585176\pi\)
−0.117714 + 0.993047i \(0.537557\pi\)
\(74\) −3.65907 + 1.43608i −0.425358 + 0.166941i
\(75\) 13.5093 + 3.08342i 1.55992 + 0.356042i
\(76\) −1.61690 + 21.5760i −0.185471 + 2.47493i
\(77\) 1.07658 0.332081i 0.122688 0.0378442i
\(78\) 4.45317 9.24711i 0.504223 1.04703i
\(79\) −2.78500 + 1.60792i −0.313337 + 0.180905i −0.648419 0.761284i \(-0.724569\pi\)
0.335082 + 0.942189i \(0.391236\pi\)
\(80\) 47.9227 + 27.6682i 5.35792 + 3.09339i
\(81\) 0.814687 0.555444i 0.0905208 0.0617160i
\(82\) −7.26007 + 1.65706i −0.801741 + 0.182992i
\(83\) 7.16619 1.08013i 0.786591 0.118560i 0.256549 0.966531i \(-0.417414\pi\)
0.530042 + 0.847972i \(0.322176\pi\)
\(84\) −1.12040 + 1.40494i −0.122246 + 0.153292i
\(85\) −7.32025 16.3323i −0.793993 1.77149i
\(86\) 17.5649 + 1.27445i 1.89408 + 0.137428i
\(87\) −5.64593 −0.605307
\(88\) 22.0696 + 17.5999i 2.35263 + 1.87616i
\(89\) 5.91715 0.891867i 0.627216 0.0945377i 0.172260 0.985051i \(-0.444893\pi\)
0.454956 + 0.890514i \(0.349655\pi\)
\(90\) 22.7088 5.18315i 2.39372 0.546352i
\(91\) −0.740637 1.08631i −0.0776398 0.113877i
\(92\) −31.7422 18.3264i −3.30935 1.91065i
\(93\) −1.99521 3.45580i −0.206894 0.358350i
\(94\) −12.2028 5.87658i −1.25863 0.606123i
\(95\) 5.31068 + 17.2168i 0.544864 + 1.76641i
\(96\) −16.9487 1.27013i −1.72982 0.129632i
\(97\) −11.8980 2.71564i −1.20806 0.275732i −0.429362 0.903132i \(-0.641262\pi\)
−0.778697 + 0.627401i \(0.784119\pi\)
\(98\) −6.75193 17.2036i −0.682048 1.73783i
\(99\) 6.51814 0.488467i 0.655097 0.0490928i
\(100\) 71.3547 + 10.7550i 7.13547 + 1.07550i
\(101\) −11.8818 + 11.0247i −1.18228 + 1.09700i −0.188920 + 0.981993i \(0.560499\pi\)
−0.993365 + 0.115007i \(0.963311\pi\)
\(102\) 8.47324 + 7.14612i 0.838976 + 0.707571i
\(103\) −1.37568 0.937924i −0.135550 0.0924164i 0.493647 0.869663i \(-0.335664\pi\)
−0.629197 + 0.777246i \(0.716616\pi\)
\(104\) 12.0350 30.6648i 1.18013 3.00693i
\(105\) −0.441071 + 1.42992i −0.0430441 + 0.139546i
\(106\) 12.4763 + 11.5763i 1.21180 + 1.12439i
\(107\) −1.64222 + 1.30963i −0.158760 + 0.126606i −0.699648 0.714488i \(-0.746660\pi\)
0.540888 + 0.841095i \(0.318088\pi\)
\(108\) −20.3899 + 16.2604i −1.96202 + 1.56466i
\(109\) −10.7706 + 11.6080i −1.03164 + 1.11184i −0.0379952 + 0.999278i \(0.512097\pi\)
−0.993644 + 0.112565i \(0.964093\pi\)
\(110\) 36.4447 + 11.2417i 3.47486 + 1.07185i
\(111\) 0.535253 1.36380i 0.0508040 0.129446i
\(112\) −2.47304 + 3.62728i −0.233680 + 0.342746i
\(113\) 4.91754 + 10.2114i 0.462603 + 0.960605i 0.993571 + 0.113213i \(0.0361143\pi\)
−0.530968 + 0.847392i \(0.678171\pi\)
\(114\) −7.58961 8.17965i −0.710832 0.766094i
\(115\) −30.1807 4.54901i −2.81437 0.424198i
\(116\) −29.3196 + 2.19720i −2.72226 + 0.204005i
\(117\) −2.78679 7.10063i −0.257639 0.656454i
\(118\) 4.24408 18.5945i 0.390699 1.71176i
\(119\) 1.33550 0.482299i 0.122425 0.0442123i
\(120\) −35.8269 + 11.0511i −3.27054 + 1.00883i
\(121\) −0.267992 0.129058i −0.0243629 0.0117326i
\(122\) 29.3025 16.9178i 2.65292 1.53166i
\(123\) 1.38778 2.40370i 0.125132 0.216734i
\(124\) −11.7061 17.1697i −1.05124 1.54189i
\(125\) 37.4234 8.54164i 3.34725 0.763987i
\(126\) 0.275421 + 1.82730i 0.0245365 + 0.162789i
\(127\) 9.16564 11.4934i 0.813319 1.01987i −0.185984 0.982553i \(-0.559547\pi\)
0.999303 0.0373174i \(-0.0118813\pi\)
\(128\) −20.0372 −1.77105
\(129\) −4.80115 + 4.47604i −0.422717 + 0.394093i
\(130\) 44.5079i 3.90360i
\(131\) −7.80918 6.22761i −0.682291 0.544109i 0.219859 0.975532i \(-0.429440\pi\)
−0.902150 + 0.431423i \(0.858012\pi\)
\(132\) −16.8800 + 2.54425i −1.46921 + 0.221448i
\(133\) −1.39356 + 0.318071i −0.120837 + 0.0275803i
\(134\) −22.4735 + 15.3222i −1.94141 + 1.32363i
\(135\) −10.8586 + 18.8077i −0.934560 + 1.61871i
\(136\) 28.8338 + 20.8398i 2.47248 + 1.78700i
\(137\) 3.45902 + 1.66578i 0.295524 + 0.142317i 0.575771 0.817611i \(-0.304702\pi\)
−0.280247 + 0.959928i \(0.590416\pi\)
\(138\) 18.0627 5.57161i 1.53760 0.474287i
\(139\) 10.6452 + 0.797745i 0.902912 + 0.0676639i 0.518089 0.855327i \(-0.326644\pi\)
0.384823 + 0.922991i \(0.374263\pi\)
\(140\) −1.73403 + 7.59729i −0.146552 + 0.642088i
\(141\) 4.69919 1.84430i 0.395743 0.155318i
\(142\) −3.90902 + 0.292941i −0.328038 + 0.0245830i
\(143\) 1.86150 12.3503i 0.155667 1.03278i
\(144\) −18.6710 + 17.3241i −1.55591 + 1.44368i
\(145\) −22.0590 + 10.6231i −1.83190 + 0.882197i
\(146\) 4.95319 7.26500i 0.409929 0.601256i
\(147\) 6.41211 + 2.51657i 0.528862 + 0.207563i
\(148\) 2.24885 7.29060i 0.184855 0.599284i
\(149\) 5.71503 + 5.30278i 0.468194 + 0.434420i 0.878655 0.477458i \(-0.158442\pi\)
−0.410461 + 0.911878i \(0.634632\pi\)
\(150\) −29.0956 + 23.2029i −2.37564 + 1.89451i
\(151\) 10.0351 + 12.5836i 0.816643 + 1.02404i 0.999166 + 0.0408358i \(0.0130021\pi\)
−0.182523 + 0.983202i \(0.558427\pi\)
\(152\) −26.2535 24.3597i −2.12944 1.97583i
\(153\) 8.17658 1.00387i 0.661037 0.0811583i
\(154\) −1.10544 + 2.81661i −0.0890787 + 0.226969i
\(155\) −14.2977 9.74797i −1.14842 0.782976i
\(156\) 8.64350 + 17.9484i 0.692034 + 1.43702i
\(157\) 3.62100 3.35979i 0.288987 0.268141i −0.522335 0.852740i \(-0.674939\pi\)
0.811322 + 0.584600i \(0.198748\pi\)
\(158\) 1.28723 8.54023i 0.102407 0.679424i
\(159\) −6.32578 + 0.474052i −0.501667 + 0.0375948i
\(160\) −68.6096 + 26.9273i −5.42407 + 2.12879i
\(161\) 0.538820 2.36073i 0.0424650 0.186051i
\(162\) −0.197894 + 2.64072i −0.0155480 + 0.207474i
\(163\) −1.37097 4.44458i −0.107383 0.348126i 0.885894 0.463887i \(-0.153546\pi\)
−0.993277 + 0.115761i \(0.963069\pi\)
\(164\) 6.27136 13.0226i 0.489711 1.01690i
\(165\) −12.3107 + 7.10757i −0.958385 + 0.553324i
\(166\) −9.73170 + 16.8558i −0.755326 + 1.30826i
\(167\) −12.0585 17.6866i −0.933118 1.36863i −0.929573 0.368639i \(-0.879824\pi\)
−0.00354497 0.999994i \(-0.501128\pi\)
\(168\) −0.661884 2.89991i −0.0510655 0.223733i
\(169\) −1.55782 + 0.234803i −0.119832 + 0.0180618i
\(170\) 46.5512 + 11.9776i 3.57032 + 0.918638i
\(171\) −8.29297 −0.634179
\(172\) −23.1907 + 25.1127i −1.76827 + 1.91483i
\(173\) 5.35371i 0.407035i 0.979071 + 0.203518i \(0.0652374\pi\)
−0.979071 + 0.203518i \(0.934763\pi\)
\(174\) 9.45404 11.8550i 0.716709 0.898725i
\(175\) 0.710521 + 4.71400i 0.0537103 + 0.356345i
\(176\) −40.6586 + 9.28006i −3.06476 + 0.699511i
\(177\) 4.00450 + 5.87353i 0.300997 + 0.441481i
\(178\) −8.03550 + 13.9179i −0.602286 + 1.04319i
\(179\) 4.56924 + 7.91416i 0.341521 + 0.591532i 0.984715 0.174171i \(-0.0557245\pi\)
−0.643194 + 0.765703i \(0.722391\pi\)
\(180\) −19.6162 + 40.7336i −1.46211 + 3.03610i
\(181\) 3.08389 + 9.99771i 0.229223 + 0.743124i 0.994987 + 0.100002i \(0.0318850\pi\)
−0.765764 + 0.643122i \(0.777639\pi\)
\(182\) 3.52117 + 0.263875i 0.261006 + 0.0195597i
\(183\) −2.80624 + 12.2950i −0.207443 + 0.908869i
\(184\) 56.4759 22.1651i 4.16345 1.63404i
\(185\) −0.474785 6.33556i −0.0349069 0.465800i
\(186\) 10.5972 + 1.59728i 0.777027 + 0.117118i
\(187\) 12.4163 + 5.27056i 0.907970 + 0.385421i
\(188\) 23.6854 11.4063i 1.72744 0.831889i
\(189\) −1.42356 0.970565i −0.103549 0.0705982i
\(190\) −45.0434 17.6782i −3.26779 1.28251i
\(191\) 0.567374 + 0.175012i 0.0410538 + 0.0126634i 0.315214 0.949021i \(-0.397924\pi\)
−0.274160 + 0.961684i \(0.588400\pi\)
\(192\) 13.6886 14.7528i 0.987892 1.06469i
\(193\) 2.89374 2.30768i 0.208296 0.166110i −0.513785 0.857919i \(-0.671757\pi\)
0.722081 + 0.691808i \(0.243186\pi\)
\(194\) 25.6252 20.4354i 1.83978 1.46718i
\(195\) 12.1605 + 11.2833i 0.870834 + 0.808016i
\(196\) 34.2778 + 10.5733i 2.44842 + 0.755236i
\(197\) −10.2819 4.03536i −0.732558 0.287508i −0.0304086 0.999538i \(-0.509681\pi\)
−0.702149 + 0.712030i \(0.747776\pi\)
\(198\) −9.88888 + 14.5043i −0.702772 + 1.03078i
\(199\) −1.49957 3.11389i −0.106302 0.220738i 0.841032 0.540985i \(-0.181948\pi\)
−0.947334 + 0.320247i \(0.896234\pi\)
\(200\) −87.5590 + 81.2429i −6.19136 + 5.74474i
\(201\) 1.51097 10.0246i 0.106575 0.707082i
\(202\) −3.25309 43.4094i −0.228886 3.05428i
\(203\) −0.709644 1.80814i −0.0498072 0.126907i
\(204\) −21.0985 + 4.21020i −1.47719 + 0.294773i
\(205\) 0.899468 12.0026i 0.0628216 0.838296i
\(206\) 4.27296 1.31803i 0.297711 0.0918317i
\(207\) 6.09541 12.6573i 0.423660 0.879740i
\(208\) 24.3342 + 42.1480i 1.68727 + 2.92244i
\(209\) −11.7595 6.78934i −0.813421 0.469629i
\(210\) −2.26389 3.32051i −0.156223 0.229137i
\(211\) −23.0392 + 5.25854i −1.58608 + 0.362013i −0.922472 0.386065i \(-0.873834\pi\)
−0.663611 + 0.748078i \(0.730977\pi\)
\(212\) −32.6657 + 4.92356i −2.24349 + 0.338151i
\(213\) 0.910950 1.14229i 0.0624172 0.0782687i
\(214\) 5.64119i 0.385624i
\(215\) −10.3365 + 26.5217i −0.704946 + 1.80877i
\(216\) 43.1686i 2.93725i
\(217\) 0.855961 1.07334i 0.0581064 0.0728631i
\(218\) −6.33846 42.0529i −0.429295 2.84818i
\(219\) 0.729259 + 3.19509i 0.0492788 + 0.215904i
\(220\) −61.1640 + 41.7009i −4.12368 + 2.81147i
\(221\) 1.60651 15.6589i 0.108066 1.05333i
\(222\) 1.96736 + 3.40756i 0.132040 + 0.228701i
\(223\) 4.23584 + 2.03987i 0.283653 + 0.136600i 0.570301 0.821436i \(-0.306827\pi\)
−0.286648 + 0.958036i \(0.592541\pi\)
\(224\) −1.72354 5.58757i −0.115159 0.373336i
\(225\) −2.06690 + 27.5809i −0.137793 + 1.83872i
\(226\) −29.6756 6.77326i −1.97399 0.450550i
\(227\) 6.57737 2.58143i 0.436555 0.171335i −0.136877 0.990588i \(-0.543707\pi\)
0.573433 + 0.819253i \(0.305611\pi\)
\(228\) 21.5975 1.61851i 1.43033 0.107188i
\(229\) 11.1789 + 1.68494i 0.738720 + 0.111344i 0.507614 0.861585i \(-0.330528\pi\)
0.231106 + 0.972929i \(0.425766\pi\)
\(230\) 60.0890 55.7544i 3.96215 3.67634i
\(231\) −0.489317 1.01608i −0.0321947 0.0668529i
\(232\) 27.4155 40.2111i 1.79991 2.63999i
\(233\) 26.9905 + 10.5930i 1.76821 + 0.693970i 0.998451 + 0.0556307i \(0.0177170\pi\)
0.769755 + 0.638339i \(0.220378\pi\)
\(234\) 19.5759 + 6.03838i 1.27972 + 0.394741i
\(235\) 14.8899 16.0475i 0.971310 1.04682i
\(236\) 23.0814 + 28.9431i 1.50247 + 1.88404i
\(237\) 2.00705 + 2.51676i 0.130372 + 0.163481i
\(238\) −1.22357 + 3.61181i −0.0793126 + 0.234119i
\(239\) −18.5952 5.73586i −1.20282 0.371022i −0.372356 0.928090i \(-0.621450\pi\)
−0.830467 + 0.557068i \(0.811926\pi\)
\(240\) 20.2368 51.5626i 1.30628 3.32835i
\(241\) 2.93781 4.30898i 0.189241 0.277566i −0.719879 0.694099i \(-0.755803\pi\)
0.909120 + 0.416534i \(0.136755\pi\)
\(242\) 0.719739 0.346608i 0.0462666 0.0222808i
\(243\) −10.8800 11.7259i −0.697954 0.752216i
\(244\) −9.78820 + 64.9405i −0.626625 + 4.15739i
\(245\) 29.7876 2.23227i 1.90306 0.142614i
\(246\) 2.72333 + 6.93893i 0.173633 + 0.442410i
\(247\) −3.52611 + 15.4489i −0.224361 + 0.982989i
\(248\) 34.3010 + 2.57051i 2.17812 + 0.163227i
\(249\) −2.13826 6.93207i −0.135507 0.439302i
\(250\) −44.7297 + 92.8822i −2.82895 + 5.87439i
\(251\) −1.94332 3.36593i −0.122661 0.212455i 0.798155 0.602452i \(-0.205810\pi\)
−0.920816 + 0.389997i \(0.872476\pi\)
\(252\) −3.10627 1.79340i −0.195676 0.112974i
\(253\) 19.0057 12.9578i 1.19488 0.814652i
\(254\) 8.78531 + 38.4909i 0.551239 + 2.41514i
\(255\) −15.0739 + 9.68235i −0.943963 + 0.606332i
\(256\) 8.48125 10.6352i 0.530078 0.664697i
\(257\) −6.53077 −0.407378 −0.203689 0.979036i \(-0.565293\pi\)
−0.203689 + 0.979036i \(0.565293\pi\)
\(258\) −1.35906 17.5762i −0.0846111 1.09425i
\(259\) 0.504042 0.0313196
\(260\) 67.5414 + 53.8625i 4.18874 + 3.34041i
\(261\) −1.67961 11.1435i −0.103965 0.689763i
\(262\) 26.1527 5.96919i 1.61572 0.368778i
\(263\) 20.7927 14.1762i 1.28213 0.874142i 0.285680 0.958325i \(-0.407780\pi\)
0.996450 + 0.0841831i \(0.0268281\pi\)
\(264\) 14.1282 24.4707i 0.869528 1.50607i
\(265\) −23.8233 + 13.7544i −1.46345 + 0.844925i
\(266\) 1.66563 3.45872i 0.102127 0.212068i
\(267\) −1.76557 5.72384i −0.108051 0.350293i
\(268\) 3.94530 52.6464i 0.240998 3.21589i
\(269\) −0.346230 0.0790247i −0.0211100 0.00481822i 0.211953 0.977280i \(-0.432018\pi\)
−0.233063 + 0.972462i \(0.574875\pi\)
\(270\) −21.3086 54.2934i −1.29680 3.30419i
\(271\) −1.35269 18.0504i −0.0821700 1.09648i −0.874060 0.485818i \(-0.838522\pi\)
0.791890 0.610664i \(-0.209097\pi\)
\(272\) −50.6316 + 14.1088i −3.06999 + 0.855473i
\(273\) −0.964757 + 0.895164i −0.0583898 + 0.0541778i
\(274\) −9.28979 + 4.47373i −0.561217 + 0.270268i
\(275\) −25.5110 + 37.4177i −1.53837 + 2.25637i
\(276\) −13.4041 + 34.1531i −0.806832 + 2.05578i
\(277\) −4.15762 + 13.4787i −0.249807 + 0.809854i 0.740633 + 0.671910i \(0.234526\pi\)
−0.990440 + 0.137944i \(0.955950\pi\)
\(278\) −19.5003 + 21.0163i −1.16955 + 1.26047i
\(279\) 6.22722 4.96604i 0.372814 0.297309i
\(280\) −8.04232 10.0848i −0.480621 0.602679i
\(281\) 0.388656 + 0.360620i 0.0231853 + 0.0215128i 0.691680 0.722204i \(-0.256871\pi\)
−0.668495 + 0.743717i \(0.733061\pi\)
\(282\) −3.99619 + 12.9553i −0.237969 + 0.771478i
\(283\) −23.3008 9.14491i −1.38509 0.543608i −0.448422 0.893822i \(-0.648014\pi\)
−0.936670 + 0.350214i \(0.886109\pi\)
\(284\) 4.28607 6.28651i 0.254331 0.373036i
\(285\) 16.2492 7.82519i 0.962518 0.463524i
\(286\) 22.8153 + 24.5890i 1.34910 + 1.45398i
\(287\) 0.944230 + 0.142320i 0.0557361 + 0.00840087i
\(288\) −2.53520 33.8298i −0.149388 1.99344i
\(289\) 15.9455 + 5.89426i 0.937968 + 0.346721i
\(290\) 14.6319 64.1064i 0.859213 3.76446i
\(291\) −0.912915 + 12.1820i −0.0535160 + 0.714122i
\(292\) 5.03050 + 16.3085i 0.294388 + 0.954382i
\(293\) 13.5754 + 6.53758i 0.793085 + 0.381929i 0.786142 0.618046i \(-0.212076\pi\)
0.00694308 + 0.999976i \(0.497790\pi\)
\(294\) −16.0211 + 9.24981i −0.934372 + 0.539460i
\(295\) 26.6971 + 15.4136i 1.55437 + 0.897415i
\(296\) 7.11411 + 10.4345i 0.413499 + 0.606492i
\(297\) −3.64204 15.9568i −0.211332 0.925908i
\(298\) −20.7042 + 3.12066i −1.19936 + 0.180775i
\(299\) −20.9873 16.7368i −1.21373 0.967916i
\(300\) 72.2327i 4.17036i
\(301\) −2.03694 0.974997i −0.117407 0.0561979i
\(302\) −43.2259 −2.48737
\(303\) 12.6851 + 10.1160i 0.728741 + 0.581151i
\(304\) 52.3205 7.88605i 3.00079 0.452296i
\(305\) 12.1693 + 53.3172i 0.696813 + 3.05294i
\(306\) −11.5837 + 18.8497i −0.662196 + 1.07756i
\(307\) −6.74036 + 11.6747i −0.384693 + 0.666308i −0.991727 0.128369i \(-0.959026\pi\)
0.607034 + 0.794676i \(0.292359\pi\)
\(308\) −2.93647 5.08612i −0.167321 0.289808i
\(309\) −0.723135 + 1.50161i −0.0411377 + 0.0854233i
\(310\) 44.4095 13.6985i 2.52229 0.778023i
\(311\) 3.16328 + 0.237055i 0.179373 + 0.0134422i 0.164114 0.986441i \(-0.447524\pi\)
0.0152594 + 0.999884i \(0.495143\pi\)
\(312\) −32.1481 7.33758i −1.82003 0.415409i
\(313\) 14.5338 5.70412i 0.821502 0.322416i 0.0829002 0.996558i \(-0.473582\pi\)
0.738602 + 0.674142i \(0.235487\pi\)
\(314\) 0.991383 + 13.2291i 0.0559470 + 0.746560i
\(315\) −2.95346 0.445163i −0.166409 0.0250821i
\(316\) 11.4021 + 12.2886i 0.641421 + 0.691287i
\(317\) −6.87880 14.2840i −0.386352 0.802268i −0.999920 0.0126264i \(-0.995981\pi\)
0.613568 0.789642i \(-0.289733\pi\)
\(318\) 9.59706 14.0763i 0.538176 0.789360i
\(319\) 6.74131 17.1766i 0.377441 0.961704i
\(320\) 25.7243 83.3960i 1.43803 4.66198i
\(321\) 1.54130 + 1.43012i 0.0860269 + 0.0798213i
\(322\) 4.05467 + 5.08439i 0.225958 + 0.283342i
\(323\) −15.2092 7.84546i −0.846264 0.436533i
\(324\) −3.76784 3.49605i −0.209324 0.194225i
\(325\) 50.5013 + 15.5776i 2.80131 + 0.864088i
\(326\) 11.6281 + 4.56371i 0.644023 + 0.252760i
\(327\) 13.0967 + 8.92916i 0.724248 + 0.493784i
\(328\) 10.3807 + 21.5558i 0.573180 + 1.19022i
\(329\) 1.18129 + 1.27313i 0.0651268 + 0.0701899i
\(330\) 5.69001 37.7508i 0.313225 2.07811i
\(331\) 0.468046 + 6.24563i 0.0257261 + 0.343291i 0.995183 + 0.0980308i \(0.0312544\pi\)
−0.969457 + 0.245260i \(0.921127\pi\)
\(332\) −13.8018 35.1665i −0.757474 1.93001i
\(333\) 2.85099 + 0.650720i 0.156233 + 0.0356592i
\(334\) 57.3292 + 4.29623i 3.13691 + 0.235079i
\(335\) −12.9583 42.0097i −0.707987 2.29524i
\(336\) 3.95930 + 1.90670i 0.215998 + 0.104019i
\(337\) −1.15611 + 0.667483i −0.0629776 + 0.0363601i −0.531158 0.847273i \(-0.678243\pi\)
0.468181 + 0.883633i \(0.344910\pi\)
\(338\) 2.11552 3.66419i 0.115069 0.199306i
\(339\) 9.37375 6.39091i 0.509112 0.347107i
\(340\) −74.5115 + 56.1472i −4.04095 + 3.04501i
\(341\) 12.8959 1.94374i 0.698351 0.105259i
\(342\) 13.8865 17.4131i 0.750894 0.941592i
\(343\) 4.78050i 0.258122i
\(344\) −8.56558 55.9291i −0.461825 3.01550i
\(345\) 30.5521i 1.64487i
\(346\) −11.2414 8.96473i −0.604342 0.481947i
\(347\) 4.99535 + 33.1420i 0.268164 + 1.77915i 0.565867 + 0.824496i \(0.308541\pi\)
−0.297703 + 0.954659i \(0.596220\pi\)
\(348\) 6.54906 + 28.6933i 0.351066 + 1.53812i
\(349\) 6.34856 4.32838i 0.339831 0.231693i −0.381364 0.924425i \(-0.624546\pi\)
0.721195 + 0.692732i \(0.243593\pi\)
\(350\) −11.0879 6.40162i −0.592675 0.342181i
\(351\) −16.5413 + 9.55015i −0.882912 + 0.509749i
\(352\) 24.1011 50.0465i 1.28459 2.66749i
\(353\) 17.2657 5.32577i 0.918962 0.283462i 0.201038 0.979584i \(-0.435569\pi\)
0.717924 + 0.696121i \(0.245092\pi\)
\(354\) −19.0384 1.42673i −1.01188 0.0758298i
\(355\) 1.40986 6.17701i 0.0748277 0.327842i
\(356\) −11.3962 29.0371i −0.603999 1.53896i
\(357\) −0.676633 1.24995i −0.0358112 0.0661542i
\(358\) −24.2688 3.65794i −1.28265 0.193328i
\(359\) 16.5478 15.3541i 0.873359 0.810359i −0.109640 0.993971i \(-0.534970\pi\)
0.982999 + 0.183613i \(0.0587793\pi\)
\(360\) −32.4700 67.4246i −1.71132 3.55359i
\(361\) −1.46431 0.998350i −0.0770689 0.0525447i
\(362\) −26.1565 10.2657i −1.37476 0.539552i
\(363\) −0.0877622 + 0.284518i −0.00460632 + 0.0149333i
\(364\) −4.66167 + 5.02409i −0.244338 + 0.263334i
\(365\) 8.86097 + 11.1113i 0.463804 + 0.581592i
\(366\) −21.1172 26.4801i −1.10381 1.38414i
\(367\) 24.9359 26.8745i 1.30164 1.40284i 0.437805 0.899070i \(-0.355756\pi\)
0.863839 0.503769i \(-0.168054\pi\)
\(368\) −26.4199 + 85.6512i −1.37723 + 4.46488i
\(369\) 5.15707 + 2.02400i 0.268466 + 0.105365i
\(370\) 14.0981 + 9.61189i 0.732923 + 0.499699i
\(371\) −0.946913 1.96628i −0.0491613 0.102084i
\(372\) −15.2484 + 14.1485i −0.790595 + 0.733565i
\(373\) 3.45964 + 0.521457i 0.179133 + 0.0270000i 0.237996 0.971266i \(-0.423509\pi\)
−0.0588629 + 0.998266i \(0.518747\pi\)
\(374\) −31.8577 + 17.2455i −1.64732 + 0.891745i
\(375\) −14.0379 35.7680i −0.724914 1.84705i
\(376\) −9.68295 + 42.4238i −0.499360 + 2.18784i
\(377\) −21.4732 1.60919i −1.10593 0.0828777i
\(378\) 4.42166 1.36390i 0.227426 0.0701516i
\(379\) −0.822673 + 1.70830i −0.0422579 + 0.0877493i −0.921029 0.389494i \(-0.872650\pi\)
0.878771 + 0.477244i \(0.158364\pi\)
\(380\) 81.3376 46.9603i 4.17253 2.40901i
\(381\) −12.7438 7.35761i −0.652883 0.376942i
\(382\) −1.31754 + 0.898284i −0.0674112 + 0.0459602i
\(383\) −0.842319 3.69044i −0.0430405 0.188573i 0.948838 0.315764i \(-0.102261\pi\)
−0.991878 + 0.127192i \(0.959404\pi\)
\(384\) 2.98937 + 19.8331i 0.152550 + 1.01211i
\(385\) −3.82358 3.04921i −0.194868 0.155402i
\(386\) 9.94028i 0.505947i
\(387\) −10.2627 8.14452i −0.521683 0.414009i
\(388\) 63.6171i 3.22967i
\(389\) −7.27439 + 9.12179i −0.368826 + 0.462493i −0.931263 0.364347i \(-0.881292\pi\)
0.562437 + 0.826840i \(0.309864\pi\)
\(390\) −44.0547 + 6.64018i −2.23080 + 0.336239i
\(391\) 23.1531 17.4468i 1.17091 0.882321i
\(392\) −49.0592 + 33.4480i −2.47787 + 1.68938i
\(393\) −4.99914 + 8.65877i −0.252173 + 0.436777i
\(394\) 25.6902 14.8322i 1.29425 0.747237i
\(395\) 12.5771 + 6.05679i 0.632820 + 0.304750i
\(396\) −10.0432 32.5594i −0.504691 1.63617i
\(397\) 28.6314 + 2.14563i 1.43697 + 0.107686i 0.770307 0.637673i \(-0.220103\pi\)
0.666663 + 0.745359i \(0.267722\pi\)
\(398\) 9.04937 + 2.06546i 0.453604 + 0.103532i
\(399\) 0.522740 + 1.33192i 0.0261697 + 0.0666794i
\(400\) −13.1874 175.974i −0.659370 8.79869i
\(401\) −5.22384 + 34.6579i −0.260866 + 1.73074i 0.348028 + 0.937484i \(0.386851\pi\)
−0.608895 + 0.793251i \(0.708387\pi\)
\(402\) 18.5190 + 19.9587i 0.923643 + 0.995450i
\(403\) −6.60342 13.7121i −0.328940 0.683050i
\(404\) 69.8113 + 47.5966i 3.47324 + 2.36802i
\(405\) −3.98428 1.56372i −0.197981 0.0777017i
\(406\) 4.98492 + 1.53764i 0.247397 + 0.0763120i
\(407\) 3.50999 + 3.25679i 0.173984 + 0.161433i
\(408\) 16.3259 31.6493i 0.808250 1.56688i
\(409\) 1.24867 + 1.56578i 0.0617427 + 0.0774229i 0.811744 0.584014i \(-0.198519\pi\)
−0.750001 + 0.661436i \(0.769947\pi\)
\(410\) 23.6961 + 21.9868i 1.17027 + 1.08585i
\(411\) 1.13276 3.67232i 0.0558750 0.181142i
\(412\) −3.17091 + 8.07934i −0.156219 + 0.398040i
\(413\) −1.37770 + 2.02072i −0.0677922 + 0.0994329i
\(414\) 16.3703 + 33.9932i 0.804554 + 1.67067i
\(415\) −21.3973 23.0608i −1.05035 1.13201i
\(416\) −64.0992 9.66140i −3.14272 0.473689i
\(417\) −0.798542 10.6558i −0.0391048 0.521817i
\(418\) 33.9470 13.3232i 1.66040 0.651659i
\(419\) −0.408465 0.0932295i −0.0199548 0.00455456i 0.212532 0.977154i \(-0.431829\pi\)
−0.232487 + 0.972600i \(0.574686\pi\)
\(420\) 7.77864 + 0.582928i 0.379559 + 0.0284440i
\(421\) 3.60749 1.11276i 0.175818 0.0542328i −0.205596 0.978637i \(-0.565913\pi\)
0.381414 + 0.924404i \(0.375437\pi\)
\(422\) 27.5372 57.1817i 1.34049 2.78356i
\(423\) 5.03807 + 8.72620i 0.244960 + 0.424282i
\(424\) 27.3404 47.3550i 1.32777 2.29976i
\(425\) −29.8832 + 48.6276i −1.44955 + 2.35879i
\(426\) 0.873149 + 3.82551i 0.0423042 + 0.185347i
\(427\) −4.29025 + 0.646651i −0.207620 + 0.0312936i
\(428\) 8.56060 + 6.82685i 0.413792 + 0.329988i
\(429\) −12.5022 −0.603613
\(430\) −38.3803 66.1143i −1.85086 3.18832i
\(431\) 1.64148i 0.0790674i 0.999218 + 0.0395337i \(0.0125872\pi\)
−0.999218 + 0.0395337i \(0.987413\pi\)
\(432\) 49.8631 + 39.7645i 2.39904 + 1.91317i
\(433\) −36.2701 + 5.46684i −1.74303 + 0.262719i −0.941929 0.335811i \(-0.890990\pi\)
−0.801100 + 0.598530i \(0.795752\pi\)
\(434\) 0.820442 + 3.59459i 0.0393825 + 0.172546i
\(435\) 13.8059 + 20.2495i 0.661943 + 0.970892i
\(436\) 71.4867 + 41.2728i 3.42359 + 1.97661i
\(437\) −25.2743 + 14.5921i −1.20903 + 0.698035i
\(438\) −7.93000 3.81889i −0.378910 0.182473i
\(439\) −0.415772 1.34790i −0.0198437 0.0643317i 0.945109 0.326754i \(-0.105955\pi\)
−0.964953 + 0.262422i \(0.915479\pi\)
\(440\) 9.15697 122.191i 0.436541 5.82524i
\(441\) −3.05945 + 13.4043i −0.145688 + 0.638302i
\(442\) 30.1895 + 29.5939i 1.43597 + 1.40764i
\(443\) −1.25157 16.7010i −0.0594638 0.793490i −0.944614 0.328184i \(-0.893563\pi\)
0.885150 0.465306i \(-0.154056\pi\)
\(444\) −7.55188 1.13826i −0.358396 0.0540196i
\(445\) −17.6679 19.0414i −0.837537 0.902650i
\(446\) −11.3761 + 5.47842i −0.538672 + 0.259411i
\(447\) 4.39615 6.44797i 0.207931 0.304979i
\(448\) 6.44522 + 2.52956i 0.304508 + 0.119511i
\(449\) 2.51455 8.15197i 0.118669 0.384715i −0.876677 0.481079i \(-0.840245\pi\)
0.995346 + 0.0963638i \(0.0307212\pi\)
\(450\) −54.4516 50.5237i −2.56688 2.38171i
\(451\) 5.65574 + 7.09207i 0.266318 + 0.333952i
\(452\) 46.1913 36.8363i 2.17265 1.73263i
\(453\) 10.9583 11.8103i 0.514867 0.554894i
\(454\) −5.59339 + 18.1333i −0.262511 + 0.851040i
\(455\) −2.08508 + 5.31270i −0.0977500 + 0.249063i
\(456\) −20.1949 + 29.6204i −0.945712 + 1.38710i
\(457\) 5.94519 2.86305i 0.278104 0.133928i −0.289633 0.957138i \(-0.593533\pi\)
0.567737 + 0.823210i \(0.307819\pi\)
\(458\) −22.2568 + 20.6513i −1.03999 + 0.964971i
\(459\) −5.53713 19.8708i −0.258451 0.927490i
\(460\) 11.8898 + 158.659i 0.554366 + 7.39750i
\(461\) 12.8633 + 32.7752i 0.599105 + 1.52649i 0.832450 + 0.554100i \(0.186938\pi\)
−0.233345 + 0.972394i \(0.574967\pi\)
\(462\) 2.95285 + 0.673969i 0.137379 + 0.0313559i
\(463\) −0.880784 + 11.7532i −0.0409335 + 0.546219i 0.938609 + 0.344983i \(0.112115\pi\)
−0.979543 + 0.201237i \(0.935504\pi\)
\(464\) 21.1934 + 68.7072i 0.983877 + 3.18965i
\(465\) −7.51564 + 15.6064i −0.348529 + 0.723729i
\(466\) −67.4378 + 38.9352i −3.12399 + 1.80364i
\(467\) 4.13405 7.16038i 0.191301 0.331343i −0.754381 0.656437i \(-0.772063\pi\)
0.945682 + 0.325094i \(0.105396\pi\)
\(468\) −32.8537 + 22.3993i −1.51866 + 1.03541i
\(469\) 3.40035 0.776109i 0.157014 0.0358374i
\(470\) 8.76263 + 58.1363i 0.404190 + 2.68163i
\(471\) −3.86580 3.08288i −0.178127 0.142051i
\(472\) −61.2771 −2.82051
\(473\) −7.88479 19.9509i −0.362543 0.917345i
\(474\) −8.64531 −0.397092
\(475\) 35.8238 44.9216i 1.64371 2.06114i
\(476\) −4.00023 6.22773i −0.183350 0.285447i
\(477\) −2.81750 12.3443i −0.129004 0.565206i
\(478\) 43.1812 29.4405i 1.97506 1.34657i
\(479\) 25.7902 + 14.8900i 1.17838 + 0.680340i 0.955640 0.294537i \(-0.0951654\pi\)
0.222743 + 0.974877i \(0.428499\pi\)
\(480\) 36.8891 + 63.8937i 1.68375 + 2.91634i
\(481\) 2.42444 5.03440i 0.110545 0.229549i
\(482\) 4.12841 + 13.3840i 0.188044 + 0.609623i
\(483\) −2.41708 0.181135i −0.109981 0.00824192i
\(484\) −0.345029 + 1.51167i −0.0156832 + 0.0687124i
\(485\) 19.3542 + 49.3136i 0.878827 + 2.23921i
\(486\) 42.8398 3.21040i 1.94325 0.145627i
\(487\) −2.15092 + 14.2704i −0.0974676 + 0.646656i 0.885742 + 0.464177i \(0.153650\pi\)
−0.983210 + 0.182478i \(0.941588\pi\)
\(488\) −73.9399 79.6882i −3.34710 3.60732i
\(489\) −4.19479 + 2.02010i −0.189695 + 0.0913522i
\(490\) −45.1917 + 66.2841i −2.04155 + 2.99441i
\(491\) 8.67572 22.1054i 0.391530 0.997602i −0.590189 0.807265i \(-0.700947\pi\)
0.981719 0.190337i \(-0.0609580\pi\)
\(492\) −13.8257 4.26465i −0.623309 0.192265i
\(493\) 7.46175 22.0260i 0.336060 0.992000i
\(494\) −26.5342 33.2729i −1.19383 1.49702i
\(495\) −17.6906 22.1833i −0.795134 0.997067i
\(496\) −34.5653 + 37.2525i −1.55203 + 1.67269i
\(497\) 0.480325 + 0.148161i 0.0215455 + 0.00664591i
\(498\) 18.1360 + 7.11787i 0.812696 + 0.318960i
\(499\) −3.02458 + 4.43624i −0.135399 + 0.198593i −0.887950 0.459940i \(-0.847871\pi\)
0.752551 + 0.658534i \(0.228823\pi\)
\(500\) −86.8192 180.282i −3.88267 8.06246i
\(501\) −15.7075 + 14.5744i −0.701760 + 0.651138i
\(502\) 10.3216 + 1.55574i 0.460677 + 0.0694359i
\(503\) −39.8493 + 2.98629i −1.77679 + 0.133152i −0.922341 0.386377i \(-0.873726\pi\)
−0.854453 + 0.519529i \(0.826107\pi\)
\(504\) 5.52668 2.16906i 0.246178 0.0966178i
\(505\) 68.5953 + 15.6564i 3.05245 + 0.696702i
\(506\) −4.61663 + 61.6047i −0.205234 + 2.73866i
\(507\) 0.464825 + 1.50693i 0.0206436 + 0.0669249i
\(508\) −69.0424 33.2491i −3.06326 1.47519i
\(509\) 7.13572 + 12.3594i 0.316285 + 0.547822i 0.979710 0.200421i \(-0.0642310\pi\)
−0.663425 + 0.748243i \(0.730898\pi\)
\(510\) 4.91060 47.8642i 0.217445 2.11946i
\(511\) −0.931585 + 0.635144i −0.0412109 + 0.0280971i
\(512\) −0.788060 3.45272i −0.0348277 0.152590i
\(513\) 3.09495 + 20.5336i 0.136645 + 0.906582i
\(514\) 10.9357 13.7129i 0.482353 0.604851i
\(515\) 7.22748i 0.318481i
\(516\) 28.3169 + 19.2080i 1.24658 + 0.845584i
\(517\) 16.4984i 0.725599i
\(518\) −0.844012 + 1.05836i −0.0370838 + 0.0465016i
\(519\) 5.29920 0.798726i 0.232609 0.0350602i
\(520\) −139.411 + 31.8195i −6.11356 + 1.39538i
\(521\) −7.18291 10.5354i −0.314689 0.461564i 0.636009 0.771682i \(-0.280584\pi\)
−0.950698 + 0.310117i \(0.899632\pi\)
\(522\) 26.2109 + 15.1328i 1.14722 + 0.662347i
\(523\) −14.0621 24.3563i −0.614893 1.06503i −0.990403 0.138208i \(-0.955866\pi\)
0.375510 0.926818i \(-0.377468\pi\)
\(524\) −22.5911 + 46.9110i −0.986898 + 2.04931i
\(525\) 4.56000 1.40657i 0.199015 0.0613879i
\(526\) −5.05071 + 67.3971i −0.220221 + 2.93865i
\(527\) 16.1187 3.21649i 0.702142 0.140112i
\(528\) 15.2515 + 38.8601i 0.663735 + 1.69117i
\(529\) −1.97577 26.3648i −0.0859030 1.14630i
\(530\) 11.0112 73.0543i 0.478294 3.17328i
\(531\) −10.4014 + 9.65106i −0.451381 + 0.418820i
\(532\) 3.23295 + 6.71330i 0.140166 + 0.291058i
\(533\) 5.96323 8.74646i 0.258296 0.378851i
\(534\) 14.9750 + 5.87726i 0.648032 + 0.254334i
\(535\) 8.71277 + 2.68753i 0.376686 + 0.116192i
\(536\) 64.0597 + 59.4388i 2.76696 + 2.56736i
\(537\) 7.15189 5.70344i 0.308627 0.246122i
\(538\) 0.745689 0.594667i 0.0321489 0.0256379i
\(539\) −15.3123 + 16.5027i −0.659546 + 0.710822i
\(540\) 108.178 + 33.3686i 4.65525 + 1.43596i
\(541\) −19.8249 7.78069i −0.852338 0.334518i −0.101363 0.994849i \(-0.532321\pi\)
−0.750974 + 0.660332i \(0.770416\pi\)
\(542\) 40.1662 + 27.3848i 1.72528 + 1.17628i
\(543\) 9.43583 4.54406i 0.404930 0.195004i
\(544\) 27.3548 64.4420i 1.17283 2.76293i
\(545\) 67.9701 + 10.2449i 2.91152 + 0.438841i
\(546\) −0.264138 3.52468i −0.0113041 0.150842i
\(547\) 24.4749 9.60570i 1.04647 0.410710i 0.221072 0.975258i \(-0.429044\pi\)
0.825401 + 0.564547i \(0.190949\pi\)
\(548\) 4.45335 19.5114i 0.190238 0.833486i
\(549\) −25.1016 1.88110i −1.07131 0.0802835i
\(550\) −35.8497 116.222i −1.52864 4.95572i
\(551\) −10.1576 + 21.0924i −0.432727 + 0.898567i
\(552\) −30.3651 52.5940i −1.29243 2.23855i
\(553\) −0.553738 + 0.959103i −0.0235473 + 0.0407852i
\(554\) −21.3398 31.2998i −0.906642 1.32980i
\(555\) −6.20022 + 1.41516i −0.263185 + 0.0600702i
\(556\) −8.29375 55.0254i −0.351733 2.33360i
\(557\) 0.992639 1.24473i 0.0420595 0.0527409i −0.760357 0.649505i \(-0.774976\pi\)
0.802416 + 0.596765i \(0.203547\pi\)
\(558\) 21.3911i 0.905558i
\(559\) −19.5360 + 15.6553i −0.826283 + 0.662149i
\(560\) 19.0568 0.805296
\(561\) 3.36449 13.0762i 0.142049 0.552078i
\(562\) −1.40801 + 0.212223i −0.0593933 + 0.00895210i
\(563\) 6.26190 + 27.4352i 0.263908 + 1.15625i 0.916972 + 0.398952i \(0.130626\pi\)
−0.653064 + 0.757303i \(0.726517\pi\)
\(564\) −14.8238 21.7425i −0.624195 0.915525i
\(565\) 24.5991 42.6068i 1.03489 1.79248i
\(566\) 58.2189 33.6127i 2.44712 1.41285i
\(567\) 0.147332 0.305939i 0.00618738 0.0128482i
\(568\) 3.71220 + 12.0347i 0.155760 + 0.504963i
\(569\) −2.28389 + 30.4763i −0.0957455 + 1.27763i 0.717848 + 0.696200i \(0.245127\pi\)
−0.813593 + 0.581434i \(0.802492\pi\)
\(570\) −10.7782 + 47.2222i −0.451448 + 1.97792i
\(571\) 24.2079 9.50089i 1.01307 0.397600i 0.200017 0.979792i \(-0.435900\pi\)
0.813051 + 0.582193i \(0.197805\pi\)
\(572\) −64.9248 + 4.86544i −2.71464 + 0.203434i
\(573\) 0.0885827 0.587708i 0.00370059 0.0245518i
\(574\) −1.87994 + 1.74432i −0.0784670 + 0.0728067i
\(575\) 42.2313 + 87.6943i 1.76117 + 3.65710i
\(576\) 33.1901 + 22.6286i 1.38292 + 0.942860i
\(577\) −4.58892 + 11.6924i −0.191039 + 0.486760i −0.994014 0.109253i \(-0.965154\pi\)
0.802975 + 0.596013i \(0.203249\pi\)
\(578\) −39.0769 + 23.6115i −1.62538 + 0.982108i
\(579\) −2.71590 2.51999i −0.112869 0.104727i
\(580\) 79.5753 + 99.7843i 3.30418 + 4.14332i
\(581\) 1.95128 1.55609i 0.0809526 0.0645575i
\(582\) −24.0504 22.3155i −0.996921 0.925007i
\(583\) 6.11086 19.8109i 0.253086 0.820484i
\(584\) −26.2970 10.3208i −1.08818 0.427079i
\(585\) −18.6524 + 27.3581i −0.771184 + 1.13112i
\(586\) −36.4591 + 17.5578i −1.50611 + 0.725305i
\(587\) 22.0023 20.4152i 0.908134 0.842625i −0.0799095 0.996802i \(-0.525463\pi\)
0.988043 + 0.154177i \(0.0492726\pi\)
\(588\) 5.35171 35.5062i 0.220701 1.46425i
\(589\) −16.5000 + 1.23650i −0.679869 + 0.0509492i
\(590\) −77.0686 + 30.2472i −3.17286 + 1.24526i
\(591\) −2.46030 + 10.7793i −0.101203 + 0.443401i
\(592\) −18.6057 1.39431i −0.764692 0.0573057i
\(593\) −19.8208 + 6.11391i −0.813944 + 0.251068i −0.673658 0.739043i \(-0.735278\pi\)
−0.140285 + 0.990111i \(0.544802\pi\)
\(594\) 39.6037 + 19.0721i 1.62496 + 0.782539i
\(595\) −4.99548 3.61051i −0.204795 0.148017i
\(596\) 20.3201 35.1955i 0.832345 1.44166i
\(597\) −2.85846 + 1.94887i −0.116989 + 0.0797618i
\(598\) 70.2860 16.0423i 2.87421 0.656020i
\(599\) −39.0522 + 5.88617i −1.59563 + 0.240503i −0.885868 0.463938i \(-0.846436\pi\)
−0.709763 + 0.704441i \(0.751198\pi\)
\(600\) 93.4787 + 74.5468i 3.81625 + 3.04336i
\(601\) 20.9206i 0.853368i −0.904401 0.426684i \(-0.859682\pi\)
0.904401 0.426684i \(-0.140318\pi\)
\(602\) 5.45807 2.64442i 0.222454 0.107779i
\(603\) 20.2352 0.824042
\(604\) 52.3110 65.5959i 2.12850 2.66906i
\(605\) 0.192440 + 1.27676i 0.00782382 + 0.0519076i
\(606\) −42.4821 + 9.69627i −1.72572 + 0.393884i
\(607\) −16.9337 24.8372i −0.687317 1.00811i −0.998334 0.0577046i \(-0.981622\pi\)
0.311017 0.950404i \(-0.399331\pi\)
\(608\) −35.2374 + 61.0330i −1.42907 + 2.47522i
\(609\) −1.68386 + 0.972177i −0.0682334 + 0.0393946i
\(610\) −132.330 63.7266i −5.35787 2.58022i
\(611\) 18.3981 5.67506i 0.744307 0.229588i
\(612\) −14.5863 40.3899i −0.589617 1.63267i
\(613\) 3.60461 15.7928i 0.145589 0.637866i −0.848491 0.529210i \(-0.822488\pi\)
0.994079 0.108656i \(-0.0346546\pi\)
\(614\) −13.2271 33.7021i −0.533802 1.36010i
\(615\) −12.0146 + 0.900366i −0.484474 + 0.0363063i
\(616\) 9.61266 + 1.44888i 0.387305 + 0.0583769i
\(617\) 3.07468 + 3.31372i 0.123782 + 0.133405i 0.791902 0.610648i \(-0.209091\pi\)
−0.668120 + 0.744054i \(0.732901\pi\)
\(618\) −1.94210 4.03281i −0.0781227 0.162224i
\(619\) −14.4071 + 21.1313i −0.579068 + 0.849337i −0.998285 0.0585491i \(-0.981353\pi\)
0.419216 + 0.907886i \(0.362305\pi\)
\(620\) −32.9557 + 83.9697i −1.32353 + 3.37230i
\(621\) −33.6145 10.3687i −1.34891 0.416082i
\(622\) −5.79463 + 6.24512i −0.232343 + 0.250407i
\(623\) 1.61118 1.28487i 0.0645504 0.0514773i
\(624\) 38.0884 30.3745i 1.52476 1.21595i
\(625\) −71.4080 66.2570i −2.85632 2.65028i
\(626\) −12.3596 + 40.0688i −0.493988 + 1.60147i
\(627\) −4.96580 + 12.6527i −0.198315 + 0.505299i
\(628\) −21.2751 14.5051i −0.848968 0.578817i
\(629\) 4.61308 + 3.89056i 0.183936 + 0.155127i
\(630\) 5.88026 5.45609i 0.234275 0.217376i
\(631\) 2.15615 + 0.324987i 0.0858350 + 0.0129375i 0.191819 0.981430i \(-0.438561\pi\)
−0.105984 + 0.994368i \(0.533799\pi\)
\(632\) −27.6705 + 2.07362i −1.10067 + 0.0824841i
\(633\) 8.64224 + 22.0201i 0.343498 + 0.875219i
\(634\) 41.5111 + 9.47464i 1.64862 + 0.376286i
\(635\) −63.6344 4.76874i −2.52525 0.189242i
\(636\) 9.74685 + 31.5985i 0.386488 + 1.25296i
\(637\) 23.6699 + 11.3988i 0.937837 + 0.451639i
\(638\) 24.7781 + 42.9170i 0.980975 + 1.69910i
\(639\) 2.52556 + 1.45813i 0.0999097 + 0.0576829i
\(640\) 48.9966 + 71.8648i 1.93676 + 2.84070i
\(641\) 21.1595 4.82952i 0.835750 0.190755i 0.216831 0.976209i \(-0.430428\pi\)
0.618919 + 0.785455i \(0.287571\pi\)
\(642\) −5.58375 + 0.841616i −0.220373 + 0.0332159i
\(643\) −13.2108 10.5353i −0.520983 0.415470i 0.327374 0.944895i \(-0.393836\pi\)
−0.848357 + 0.529425i \(0.822408\pi\)
\(644\) −12.6225 −0.497396
\(645\) 27.7938 + 6.27448i 1.09438 + 0.247058i
\(646\) 41.9411 18.7983i 1.65015 0.739609i
\(647\) 11.2287 14.0803i 0.441444 0.553554i −0.510479 0.859890i \(-0.670532\pi\)
0.951923 + 0.306337i \(0.0991033\pi\)
\(648\) 8.41290 1.26804i 0.330490 0.0498133i
\(649\) −22.6504 + 5.16981i −0.889106 + 0.202933i
\(650\) −117.273 + 79.9551i −4.59981 + 3.13610i
\(651\) −1.19011 0.687113i −0.0466442 0.0269301i
\(652\) −20.9976 + 12.1230i −0.822330 + 0.474772i
\(653\) −9.67772 + 20.0960i −0.378718 + 0.786417i 0.621278 + 0.783591i \(0.286614\pi\)
−0.999996 + 0.00282630i \(0.999100\pi\)
\(654\) −40.6791 + 12.5478i −1.59068 + 0.490660i
\(655\) −3.24013 + 43.2365i −0.126602 + 1.68939i
\(656\) −34.4607 7.86544i −1.34547 0.307094i
\(657\) −6.08926 + 2.38986i −0.237565 + 0.0932372i
\(658\) −4.65130 + 0.348567i −0.181327 + 0.0135886i
\(659\) −22.3104 3.36275i −0.869090 0.130994i −0.300666 0.953730i \(-0.597209\pi\)
−0.568425 + 0.822735i \(0.692447\pi\)
\(660\) 50.4014 + 54.3198i 1.96187 + 2.11440i
\(661\) 27.8989 13.4354i 1.08514 0.522576i 0.196183 0.980567i \(-0.437145\pi\)
0.888957 + 0.457991i \(0.151431\pi\)
\(662\) −13.8979 9.47546i −0.540159 0.368274i
\(663\) −15.7391 + 0.746011i −0.611258 + 0.0289727i
\(664\) 59.7542 + 18.4317i 2.31891 + 0.715289i
\(665\) 4.54844 + 4.22034i 0.176381 + 0.163658i
\(666\) −6.14029 + 4.89672i −0.237931 + 0.189744i
\(667\) −24.7266 31.0062i −0.957420 1.20057i
\(668\) −75.8981 + 81.7987i −2.93659 + 3.16489i
\(669\) 1.38715 4.49704i 0.0536304 0.173866i
\(670\) 109.908 + 43.1357i 4.24612 + 1.66648i
\(671\) −34.0542 23.2177i −1.31465 0.896311i
\(672\) −5.27355 + 2.53961i −0.203431 + 0.0979674i
\(673\) −1.89183 2.03891i −0.0729249 0.0785943i 0.695535 0.718492i \(-0.255167\pi\)
−0.768460 + 0.639898i \(0.778977\pi\)
\(674\) 0.534358 3.54523i 0.0205827 0.136557i
\(675\) 69.0624 5.17551i 2.65821 0.199206i
\(676\) 3.00031 + 7.64465i 0.115396 + 0.294025i
\(677\) −18.6352 4.25337i −0.716210 0.163470i −0.151139 0.988513i \(-0.548294\pi\)
−0.565071 + 0.825042i \(0.691151\pi\)
\(678\) −2.27696 + 30.3839i −0.0874462 + 1.16689i
\(679\) −4.01610 + 1.23880i −0.154124 + 0.0475409i
\(680\) 4.23659 154.374i 0.162466 5.91996i
\(681\) −3.53643 6.12527i −0.135516 0.234721i
\(682\) −17.5126 + 30.3327i −0.670593 + 1.16150i
\(683\) −25.6071 37.5587i −0.979828 1.43714i −0.897744 0.440518i \(-0.854795\pi\)
−0.0820838 0.996625i \(-0.526157\pi\)
\(684\) 9.61952 + 42.1459i 0.367812 + 1.61149i
\(685\) −2.48386 16.4793i −0.0949035 0.629643i
\(686\) −10.0378 8.00488i −0.383245 0.305628i
\(687\) 11.3164i 0.431748i
\(688\) 72.4926 + 41.6248i 2.76375 + 1.58693i
\(689\) −24.1940 −0.921718
\(690\) −64.1515 51.1591i −2.44221 1.94759i
\(691\) −1.34702 8.93692i −0.0512432 0.339977i −0.999732 0.0231648i \(-0.992626\pi\)
0.948488 0.316812i \(-0.102612\pi\)
\(692\) 27.2082 6.21010i 1.03430 0.236073i
\(693\) 1.85988 1.26804i 0.0706510 0.0481690i
\(694\) −77.9542 45.0069i −2.95910 1.70844i
\(695\) −23.1693 40.1304i −0.878862 1.52223i
\(696\) −43.8918 21.1372i −1.66372 0.801203i
\(697\) 7.54323 + 8.59077i 0.285720 + 0.325399i
\(698\) −1.54212 + 20.5781i −0.0583700 + 0.778894i
\(699\) 6.45839 28.2961i 0.244279 1.07026i
\(700\) 23.1329 9.07901i 0.874343 0.343154i
\(701\) −3.75146 50.0597i −0.141691 1.89073i −0.388178 0.921584i \(-0.626895\pi\)
0.246487 0.969146i \(-0.420724\pi\)
\(702\) 7.64543 50.7241i 0.288558 1.91446i
\(703\) −4.13200 4.45324i −0.155841 0.167957i
\(704\) 28.5381 + 59.2599i 1.07557 + 2.23344i
\(705\) −18.1055 12.3442i −0.681894 0.464908i
\(706\) −17.7285 + 45.1715i −0.667221 + 1.70005i
\(707\) −1.64531 + 5.33398i −0.0618784 + 0.200605i
\(708\) 25.2049 27.1644i 0.947258 1.02090i
\(709\) 37.7788 30.1276i 1.41881 1.13147i 0.447328 0.894370i \(-0.352376\pi\)
0.971486 0.237097i \(-0.0761958\pi\)
\(710\) 10.6093 + 13.3037i 0.398161 + 0.499278i
\(711\) −4.37029 + 4.71005i −0.163899 + 0.176641i
\(712\) 49.3393 + 15.2191i 1.84907 + 0.570362i
\(713\) 10.2404 26.0921i 0.383506 0.977158i
\(714\) 3.75758 + 0.672267i 0.140624 + 0.0251590i
\(715\) −48.8470 + 23.5235i −1.82677 + 0.879728i
\(716\) 34.9206 32.4016i 1.30504 1.21090i
\(717\) −2.90322 + 19.2616i −0.108423 + 0.719337i
\(718\) 4.53057 + 60.4563i 0.169080 + 2.25621i
\(719\) 38.5805 15.1417i 1.43881 0.564691i 0.487553 0.873094i \(-0.337890\pi\)
0.951256 + 0.308403i \(0.0997945\pi\)
\(720\) 107.790 + 24.6024i 4.01710 + 0.916876i
\(721\) −0.571789 0.0428497i −0.0212945 0.00159581i
\(722\) 4.54824 1.40295i 0.169268 0.0522123i
\(723\) −4.70340 2.26504i −0.174921 0.0842377i
\(724\) 47.2324 27.2696i 1.75538 1.01347i
\(725\) 67.6178 + 39.0391i 2.51126 + 1.44988i
\(726\) −0.450457 0.660700i −0.0167180 0.0245209i
\(727\) −0.476773 2.08888i −0.0176825 0.0774723i 0.965317 0.261081i \(-0.0840791\pi\)
−0.982999 + 0.183609i \(0.941222\pi\)
\(728\) −1.69082 11.2179i −0.0626660 0.415762i
\(729\) −8.13897 + 10.2059i −0.301443 + 0.377998i
\(730\) −38.1684 −1.41268
\(731\) −11.1167 24.6459i −0.411165 0.911561i
\(732\) 65.7396 2.42980
\(733\) 2.73739 3.43258i 0.101108 0.126785i −0.728703 0.684830i \(-0.759877\pi\)
0.829811 + 0.558044i \(0.188448\pi\)
\(734\) 14.6747 + 97.3600i 0.541651 + 3.59362i
\(735\) −6.65358 29.1512i −0.245421 1.07526i
\(736\) −67.2526 98.6414i −2.47896 3.63597i
\(737\) 28.6937 + 16.5663i 1.05695 + 0.610228i
\(738\) −12.8853 + 7.43934i −0.474315 + 0.273846i
\(739\) 22.1363 + 10.6603i 0.814299 + 0.392146i 0.794203 0.607652i \(-0.207889\pi\)
0.0200957 + 0.999798i \(0.493603\pi\)
\(740\) −31.6474 + 9.76192i −1.16338 + 0.358855i
\(741\) 15.8176 + 1.18537i 0.581076 + 0.0435456i
\(742\) 5.71428 + 1.30425i 0.209778 + 0.0478804i
\(743\) −35.1094 + 13.7794i −1.28804 + 0.505519i −0.907813 0.419375i \(-0.862249\pi\)
−0.380227 + 0.924893i \(0.624154\pi\)
\(744\) −2.57307 34.3353i −0.0943335 1.25879i
\(745\) 5.04392 33.4642i 0.184795 1.22603i
\(746\) −6.88805 + 6.39118i −0.252189 + 0.233998i
\(747\) 13.0458 6.28254i 0.477322 0.229866i
\(748\) 12.3832 69.2148i 0.452774 2.53074i
\(749\) −0.264275 + 0.673362i −0.00965641 + 0.0246041i
\(750\) 98.6097 + 30.4171i 3.60072 + 1.11067i
\(751\) −1.17486 + 1.26620i −0.0428713 + 0.0462043i −0.754123 0.656733i \(-0.771938\pi\)
0.711252 + 0.702937i \(0.248128\pi\)
\(752\) −40.0833 50.2629i −1.46169 1.83290i